From d701e013a514034bc7deed4e84c7270dcecc055e Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Thu, 4 Jan 2018 15:09:26 -0800 Subject: [PATCH 01/90] Add files via upload --- ipynb/Coin Flip.ipynb | 422 +++++++++++++++++++++++++----------------- 1 file changed, 252 insertions(+), 170 deletions(-) diff --git a/ipynb/Coin Flip.ipynb b/ipynb/Coin Flip.ipynb index ff1c312..7843eae 100644 --- a/ipynb/Coin Flip.ipynb +++ b/ipynb/Coin Flip.ipynb @@ -10,7 +10,7 @@ "\n", ">Your goal is to get all 4 coins showing heads, by telling the devil the position(s) of some coins to flip. We call this a \"move\" on your part. The devil must faithfully perform the requested flips, but may first sneakily rotate the table any number of quarter-turns, so that the coins are in different positions. You keep making moves, and the devil keeps rotating and flipping, until all 4 coins show heads.\n", "\n", - "> Example: You tell the devil tthe 12 o'clock and 6 o'clock positions. The devil could leave the table unrotated (or could rotate it a half-turn), and then flip the two coins that you specified. Or the devil could rotate the table a quarter turn in either direction, and then flip the coins that are now in the 12 o'clock and 6 o'clock positions (which were formerly at 3 o'clock and 9 o'clock). You won't know which of these actions the devil took.\n", + "> Example: You tell the devil the 12 o'clock and 6 o'clock positions. The devil could leave the table unrotated (or could rotate it a half-turn), and then flip the two coins that you specified. Or the devil could rotate the table a quarter turn in either direction, and then flip the coins that are now in the 12 o'clock and 6 o'clock positions (which were formerly at 3 o'clock and 9 o'clock). You won't know which of these actions the devil took.\n", "\n", "> What is a shortest sequence of moves that is *guaranteed* to win, no matter what the initial state of the coins, and no matter what rotations the devil applies?\n", "\n", @@ -27,9 +27,9 @@ "\n", "- `Coins`: A *coin sequence* is represented as a `str` of four characters, such as `'HTTT'`. \n", "- `Belief`: A *belief state* is represented as a `frozenset` of `Coins` (frozen so that it can be hashed in a `set`).\n", - "- `Move`: A *move* is a set of positions to flip. A position will be an integer index into the coin sequence, so a move is a set of these such as `{0, 2}`, which we can interpret as \"flip the 12 o'clock and 6 o'clock positions.\" \n", + "- `Move`: A *move* is a set of positions to flip. A position will be an integer index into the coin sequence, so a move is a set of these such as `{0, 1}`, which we can interpret as \"flip the 12 o'clock (0) and 3 o'clock (1) positions.\" \n", "- `all_coins`: Set of all possible coin sequences: `{'HHHH', 'HHHT', ...}`.\n", - "- `rotations`: The function `rotations(coins)` returns the set of all 4 rotations of the coin sequence.\n", + "- `rotations`: The function `rotations(coins)` returns a list of all 4 rotations of the coin sequence.\n", "- `update`: The function `update(belief, move)` returns an updated belief state, representing all the possible coin sequences that could result from any devil rotation followed by the specified flip(s). (But don't flip `'HHHH'`, because the game would have already ended.)\n", "- `flip`: The function `flip(coins, move)` flips the specified positions within the coin sequence." ] @@ -48,6 +48,7 @@ "\n", "Coins = ''.join # A coin sequence, such as 'HHHT'.\n", "Belief = frozenset # A belief state is a set of possible coin sequences.\n", + "Move = set # A Move is a set of positions to flip.\n", "all_coins = Belief(map(Coins, product('HT', repeat=4)))\n", "\n", "def rotations(coins) -> [Coins]: \n", @@ -264,12 +265,13 @@ "source": [ "# Search for a Solution\n", "\n", - "The function `search` does a breadth-first search starting\n", - "from a `belief` state consisting of `all_coins`, and applying a sequences of moves, trying to\n", - "find a sequence that leads to the goal belief state in which the only possibility is 4 heads: `{'HHHH'}`.\n", - "As is typical for search algorithms, we build a search tree, keeping a queue of tree `nodes` to consider, where each \n", + "The generic function `search` does a breadth-first search starting\n", + "from a `start` state, looking for a `goal` belief state, considering possible `moves` at each turn,\n", + "and updating the belief state according to the `update` function. As is typical for search algorithms, we build a search tree, keeping a queue of tree `nodes` to consider, where each \n", "node consists of a path (a sequence of moves) and a resulting belief state. We also keep track, in `explored`, of\n", - "the states we have already explored, so that we don't have to revisit them." + "the states we have already explored, so that we don't have to revisit them. Note an interesting fact: the `search` function works on belief states, but would be exactly the same if we were searching on individual states, not belief states (the only difference would be to the parameters, not the code: the `start`, `goal`, and `update` values would be different).\n", + "\n", + "The `coin_search` function calls the generic `search` function to solve our specific problem:\n" ] }, { @@ -280,20 +282,24 @@ }, "outputs": [], "source": [ - "def search():\n", - " \"Breadth-first search from all_coins to all heads.\"\n", + "def search(start, goal, update, moves) -> [Move]:\n", + " \"Breadth-first search from start belief state to goal.\"\n", " explored = set()\n", - " queue = deque([Node([], all_coins)])\n", + " queue = deque([Node([], start)])\n", " while queue:\n", " (path, belief) = queue.popleft()\n", - " if belief == {'HHHH'}:\n", + " if belief == goal:\n", " return path\n", - " for move in powerset(range(4)):\n", + " for move in moves:\n", " belief2 = update(belief, move)\n", " if belief2 not in explored:\n", " explored.add(belief2)\n", " queue.append(Node(path + [move], belief2))\n", " \n", + "def coin_search() -> [Move]: \n", + " \"Use the generic `search` function to solve the Coin Flip problem.\"\n", + " return search(all_coins, {'HHHH'}, update, powerset(range(4)))\n", + " \n", "def Node(path, belief) -> tuple: return (path, belief)" ] }, @@ -337,7 +343,7 @@ } ], "source": [ - "search()" + "coin_search()" ] }, { @@ -348,7 +354,7 @@ "\n", "# Verifying the Solution\n", "\n", - "Can I verify that the solution is correct? Exploring with paper and pencil, it does appear to work. A colleague did the puzzle and got the same answer. And here's further validation: The function `random_devil` takes an initial coin sequence and a sequence of moves, and plays those moves with a devil that chooses rotations randomly, returning the number of moves it takes until the player wins:" + "Can I verify that the solution is correct? Exploring with paper and pencil, it does appear to work. A colleague did the puzzle and got the same answer, so that's a good sign. And here's further validation: The function `random_devil` takes an initial coin sequence and a sequence of moves, and plays those moves with a devil that chooses rotations randomly, returning the number of moves it takes until the player wins. Note this is dealing ith concrete, individual states of the world, like `HTHH`, not belief states." ] }, { @@ -364,9 +370,10 @@ " return the number of moves until win, or None.\"\"\"\n", " if coins == 'HHHH': return 0\n", " for (i, move) in enumerate(moves, 1):\n", - " coins = flip(random.choice(list(rotations(coins))), move)\n", + " coins = flip(random.choice(rotations(coins)), move)\n", " if coins == 'HHHH': \n", - " return i" + " return i\n", + " return None" ] }, { @@ -388,20 +395,20 @@ "text/plain": [ "Counter({0: 1000,\n", " 1: 1000,\n", - " 2: 986,\n", - " 3: 1014,\n", - " 4: 1052,\n", - " 5: 1004,\n", - " 6: 976,\n", - " 7: 968,\n", - " 8: 964,\n", - " 9: 1014,\n", - " 10: 985,\n", - " 11: 1003,\n", - " 12: 1056,\n", - " 13: 983,\n", - " 14: 1021,\n", - " 15: 974})" + " 2: 1026,\n", + " 3: 974,\n", + " 4: 938,\n", + " 5: 1016,\n", + " 6: 1009,\n", + " 7: 1037,\n", + " 8: 961,\n", + " 9: 1035,\n", + " 10: 983,\n", + " 11: 1013,\n", + " 12: 1009,\n", + " 13: 966,\n", + " 14: 1037,\n", + " 15: 996})" ] }, "execution_count": 11, @@ -410,7 +417,7 @@ } ], "source": [ - "moves = search()\n", + "moves = coin_search()\n", "\n", "Counter(random_devil(coins, moves) \n", " for coins in all_coins\n", @@ -428,7 +435,7 @@ "\n", "Consider the four coin sequences `{'HHHT', 'HHTH', 'HTHH', 'THHH'}`. In a sense, these are all the same: they all denote the same sequence of coins with the table rotated to different degrees. Since the devil is free to rotate the table any amount at any time, we could be justified in treating all four of these as equivalent, and collapsing them into one representative member (we could arbitrarily choose the one that comes first in alphabetical order, `'HHHT'`). I will write a definition for `Belief` that returns a `frozenset`, just like before, but makes it a set of canonical coin sequences.\n", "\n", - "Similarly, the four moves `[{3}, {2}, {1}, {0}]` are equivalent, in that they all say \"flip one of the coins, but since you're going to rotate the table first, it doesn't matter which one I specify.\" I will write a function `canonical_moves` that lists all the canonical rotationally invariant moves corresponding to a belief state." + "Similarly, the four moves `{3}, {2}, {1},` and `{0}` are equivalent, in that they all say \"flip exactly one of the coins, but since you're going to rotate the table first anyway, it doesn't matter which one I specify.\" I will write a function `canonical_moves` that lists all the canonical rotationally invariant moves corresponding to a belief state." ] }, { @@ -445,8 +452,9 @@ "\n", "def canonical_moves(coin_collection):\n", " \"All rotationally invariant moves for a sequence of N coins.\"\n", - " return [set(i for (i, coin) in enumerate(coins) if coin == 'H' and 'H')\n", - " for coins in sorted(coin_collection) if 'H' in coins]" + " return [set(i for (i, coin) in enumerate(coins) if coin == 'H')\n", + " for coins in sorted(coin_collection) \n", + " if 'H' in coins]" ] }, { @@ -471,6 +479,13 @@ "Belief(all_coins)" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The starting belief set is down from 16 sequences to 6. Call these 4 heads, 3 heads, 2 adjacent heads, 2 opposite heads, 1 head, and no heads, respectively. " + ] + }, { "cell_type": "code", "execution_count": 14, @@ -497,13 +512,18 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "The starting belief set is down from 16 sequences to 6. Call these 4 heads, 3 heads, 2 adjacent heads, 2 opposite heads, 1 head, and no heads, respectively. Similarly, there are only 5 distinct moves, which we can call flip 4, flip 3, flip 2 adjacent, flip 2 opposite, and flip 1.\n", + "Similarly, there are only 5 distinct moves, which we can call flip 4, flip 3, flip 2 adjacent, flip 2 opposite, and flip 1.\n", "\n", - "I have to confess to a form of cheating here: I threw in the `sorted` in `canonical_moves` even though it was not necessary. By including it, I made sure that `{0, 1, 2, 3}` is the first of the possible moves, which makes `search` faster, because half the time `{0, 1, 2, 3}` is the right move to make.\n", + "I have to confess to a form of cheating here: I threw in the `sorted` in `canonical_moves` even though it was not necessary. By including it, I made sure that `{0, 1, 2, 3}` is the first of the possible moves, which makes `coin_search` faster, because half the time `{0, 1, 2, 3}` is the right move to make." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Solutions for *N* Coins\n", "\n", - "# Visualizing the Solution\n", - "\n", - "How does the solution work? One answer is \"it takes care of all possibilities.\" But it would be nice to gain more insight. I'll print a table showing the belief state after each move, using the newly-defined canonicalized `Belief` form, and lining them up neatly in columns." + "What if there are 3 coins on the table arranged in a triangle? Or 6 coins in a hexagon? To answer that, I'll generalize the two functions that have a \"4\" in them, `coin_search`, and `rotations`. I'll also generalize `update`, which had `'HHHH'` in it. And I'll introduce the function `canonical_coins` to return a belief state of all canonical coin sequences of length `N`." ] }, { @@ -514,98 +534,9 @@ }, "outputs": [], "source": [ - "def show(moves, belief=all_coins):\n", - " \"For each move, print the move number, move, and belief state.\"\n", - " show_line(0, 'start', belief)\n", - " for (i, move) in enumerate(moves, 1):\n", - " belief = update(belief, move)\n", - " show_line(i, move, belief)\n", - "\n", - "def show_line(i, move, belief, order=sorted(Belief(all_coins))):\n", - " \"Print the move number, move, and belief state.\"\n", - " ordered_belief = [(coins if coins in belief else ' ')\n", - " for coins in order]\n", - " print('{:2} | {:5} | {} | {}'\n", - " .format(i, join(move), join(ordered_belief, ' '), i))\n", - " \n", - "def join(items, sep='') -> str: return sep.join(map(str, items))" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - " 0 | start | HHHH HHHT HHTT HTHT HTTT TTTT | 0\n", - " 1 | 0123 | HHHH HHHT HHTT HTHT HTTT | 1\n", - " 2 | 02 | HHHH HHHT HHTT HTTT TTTT | 2\n", - " 3 | 0123 | HHHH HHHT HHTT HTTT | 3\n", - " 4 | 01 | HHHH HHHT HTHT HTTT TTTT | 4\n", - " 5 | 0123 | HHHH HHHT HTHT HTTT | 5\n", - " 6 | 02 | HHHH HHHT HTTT TTTT | 6\n", - " 7 | 0123 | HHHH HHHT HTTT | 7\n", - " 8 | 0 | HHHH HHTT HTHT TTTT | 8\n", - " 9 | 0123 | HHHH HHTT HTHT | 9\n", - "10 | 02 | HHHH HHTT TTTT | 10\n", - "11 | 0123 | HHHH HHTT | 11\n", - "12 | 01 | HHHH HTHT TTTT | 12\n", - "13 | 0123 | HHHH HTHT | 13\n", - "14 | 02 | HHHH TTTT | 14\n", - "15 | 0123 | HHHH | 15\n" - ] - } - ], - "source": [ - "show(search())" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We can see that every odd-numbered move flips all four coins to eliminate the possibility of `TTTT`, flipping it to `HHHH`. We can also see that moves 2, 4, and 6 flip two coins and have the effect of eventually eliminating the two \"two heads\" sequences from the belief state, and then move 8 flips a single coin, thus eliminating the \"three heads\" and \"one heads\" sequences, and bringing back the \"two heads\" possibilities. Repeating moves 2, 4, and 6 in moves 10, 12, and 14 then re-eliminates the \"two heads\", and move 15 gets the belief state down to `{'HHHH'}`.\n", - "\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Different Numbers of Coins\n", - "\n", - "What if there are 3 coins on the table arranged in a triangle? Or 6 coins in a hexagon? To answer that, I'll generalize the two functions that have a \"4\" in them, `search`, and `rotations`. I'll also generalize `update`, which had `'HHHH'` in it. And I'll introduce the function `canonical_coins` to return a belief state of all canonical coin sequences of length `N`." - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "def search(N=4):\n", - " \"Breadth-first search from all_coins to all heads.\"\n", - " start = canonical_coins(N)\n", - " all_moves = canonical_moves(start)\n", - " goal = {'H' * N}\n", - " explored = set()\n", - " queue = deque([Node([], start)])\n", - " while queue:\n", - " (path, belief) = queue.popleft()\n", - " if belief == goal:\n", - " return path\n", - " for move in all_moves:\n", - " belief2 = update(belief, move)\n", - " if belief2 not in explored:\n", - " explored.add(belief2)\n", - " queue.append(Node(path + [move], belief2))\n", + "def coin_search(N=4):\n", + " start = canonical_coins(N)\n", + " return search(start, {'H' * N}, update, canonical_moves(start))\n", "\n", "def rotations(coins) -> [Coins]: \n", " \"A list of all possible rotations of a coin sequence.\"\n", @@ -617,7 +548,8 @@ " for coins in belief\n", " for c in rotations(coins))\n", "\n", - "def canonical_coins(N) -> Belief: return Belief(map(Coins, product('HT', repeat=N)))" + "def canonical_coins(N) -> Belief: \n", + " return Belief(map(Coins, product('HT', repeat=N)))" ] }, { @@ -629,7 +561,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 16, "metadata": { "collapsed": false }, @@ -654,13 +586,13 @@ " {0, 1, 2, 3}]" ] }, - "execution_count": 18, + "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "search(4)" + "coin_search(4)" ] }, { @@ -670,34 +602,56 @@ "Now test the new definitions:" ] }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "['HHHHHT', 'HHHHTH', 'HHHTHH', 'HHTHHH', 'HTHHHH', 'THHHHH']" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "rotations('HHHHHT')" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "frozenset({'HHHHHH', 'HHHHTT', 'HHHTHT', 'HHTHHT'})" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "update(_, {0})" + ] + }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, - "outputs": [ - { - "data": { - "text/plain": [ - "['HHHHHT', 'HHHHTH', 'HHHTHH', 'HHTHHH', 'HTHHHH', 'THHHHH']" - ] - }, - "execution_count": 19, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "rotations('HHHHHT')" - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "metadata": { - "collapsed": false - }, "outputs": [ { "data": { @@ -705,7 +659,7 @@ "frozenset({'HHHH', 'HHHT', 'HHTT', 'HTHT', 'HTTT', 'TTTT'})" ] }, - "execution_count": 20, + "execution_count": 19, "metadata": {}, "output_type": "execute_result" } @@ -716,7 +670,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 20, "metadata": { "collapsed": false }, @@ -734,7 +688,7 @@ " 'TTTTT'})" ] }, - "execution_count": 21, + "execution_count": 20, "metadata": {}, "output_type": "execute_result" } @@ -743,6 +697,28 @@ "canonical_coins(5)" ] }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[{0, 1, 2, 3, 4}, {0, 1, 2, 3}, {0, 1, 2}, {0, 1, 3}, {0, 1}, {0, 2}, {0}]" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "canonical_moves(_)" + ] + }, { "cell_type": "code", "execution_count": 22, @@ -753,7 +729,20 @@ { "data": { "text/plain": [ - "[{0, 1, 2, 3, 4}, {0, 1, 2, 3}, {0, 1, 2}, {0, 1, 3}, {0, 1}, {0, 2}, {0}]" + "frozenset({'HHHHHH',\n", + " 'HHHHHT',\n", + " 'HHHHTT',\n", + " 'HHHTHT',\n", + " 'HHHTTT',\n", + " 'HHTHHT',\n", + " 'HHTHTT',\n", + " 'HHTTHT',\n", + " 'HHTTTT',\n", + " 'HTHTHT',\n", + " 'HTHTTT',\n", + " 'HTTHTT',\n", + " 'HTTTTT',\n", + " 'TTTTTT'})" ] }, "execution_count": 22, @@ -762,7 +751,7 @@ } ], "source": [ - "canonical_moves(_)" + "canonical_coins(6)" ] }, { @@ -836,7 +825,7 @@ } ], "source": [ - "{N: search(N) for N in range(1, 8)}" + "{N: coin_search(N) for N in range(1, 8)}" ] }, { @@ -845,11 +834,15 @@ "source": [ "Too bad; there are no solutions for N = 3, 5, 6, or 7. \n", "\n", - "There are solutions for N = 1, 2, 4; of lengths 1, 3, 15. That suggests the conjecture: for every *N* that is a power of 2, there will be a solution of length 2*N* - 1. \n", + "There are solutions for N = 1, 2, 4; of lengths 1, 3, 15. That suggests the conjecture: \n", + "\n", + "> For every *N* that is a power of 2, there will be a shortest solution of length 2*N* - 1.\n", + "\n", + "> For every *N* that is not a power of 2, there will be no solution. \n", "\n", "# Solution for 8 Coins\n", "\n", - "Even though there are 236 = 68 billion belief states fo N = 8, I hope we can find a solution early in the search process. Let's try:" + "Even though there are 236 = 68 billion belief states fo N = 8, and the desired solution has 255 steps, I hope it won't take too long. Let's try:" ] }, { @@ -863,8 +856,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 1min 47s, sys: 731 ms, total: 1min 48s\n", - "Wall time: 1min 50s\n" + "CPU times: user 1min 58s, sys: 1.36 s, total: 2min\n", + "Wall time: 2min 18s\n" ] }, { @@ -879,7 +872,7 @@ } ], "source": [ - "%time solution8 = search(8)\n", + "%time solution8 = coin_search(8)\n", "len(solution8)" ] }, @@ -887,7 +880,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Eureka! That's evidence in favor of my conjecture, and it took less time than I thought it would. It is still not proof, and I'll need a more efficient/clever approach to test even for N=16. Can you come up with that approach? Can you prove the conjecture for all powers of 2? Here's the solution for N = 8 to help you discover a pattern:" + "Eureka! That's evidence in favor of my conjecture, and it took less time than I thought it would. Here is the solution:" ] }, { @@ -1165,6 +1158,95 @@ "source": [ "solution8" ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Of course, seeing that the pattern works up to *N* = 8 is not a proof, and this leaves many questions for you, the reader, to consider:\n", + "- Can you show there are no solutions for *N* = 9, 10, 11 (and maybe further)?\n", + "- Can you prove there are no solutions for *N* that is not a power of 2?\n", + "- Can you find a solution of length 65,535 for *N* = 16 and verify that it works?\n", + "- Can you prove there are no shorter solutions for *N* = 16?\n", + "- Can you prove the conjecture in general?\n", + "- Can you *understand* and *explain* how the solution works, rather than just listing the moves?" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Visualizing the Solution\n", + "\n", + "To help you understand solutions, I'll print a table showing the belief state after each move, using the canonicalized `Belief` form, and lining them up neatly in columns." + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "def show(moves, belief=all_coins):\n", + " \"For each move, print the move number, move, and belief state.\"\n", + " show_line(0, 'start', belief)\n", + " for (i, move) in enumerate(moves, 1):\n", + " belief = update(belief, move)\n", + " show_line(i, move, belief)\n", + "\n", + "def show_line(i, move, belief, order=sorted(Belief(all_coins))):\n", + " \"Print the move number, move, and belief state.\"\n", + " ordered_belief = [(coins if coins in belief else ' ' * len(coins))\n", + " for coins in order]\n", + " print('{:3} | {:6} | {} | {}'\n", + " .format(i, join(move), join(ordered_belief, ' '), i))\n", + " \n", + "def join(items, sep='') -> str: return sep.join(map(str, items))" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " 0 | start | HHHH HHHT HHTT HTHT HTTT TTTT | 0\n", + " 1 | 0123 | HHHH HHHT HHTT HTHT HTTT | 1\n", + " 2 | 02 | HHHH HHHT HHTT HTTT TTTT | 2\n", + " 3 | 0123 | HHHH HHHT HHTT HTTT | 3\n", + " 4 | 01 | HHHH HHHT HTHT HTTT TTTT | 4\n", + " 5 | 0123 | HHHH HHHT HTHT HTTT | 5\n", + " 6 | 02 | HHHH HHHT HTTT TTTT | 6\n", + " 7 | 0123 | HHHH HHHT HTTT | 7\n", + " 8 | 012 | HHHH HHTT HTHT TTTT | 8\n", + " 9 | 0123 | HHHH HHTT HTHT | 9\n", + " 10 | 02 | HHHH HHTT TTTT | 10\n", + " 11 | 0123 | HHHH HHTT | 11\n", + " 12 | 01 | HHHH HTHT TTTT | 12\n", + " 13 | 0123 | HHHH HTHT | 13\n", + " 14 | 02 | HHHH TTTT | 14\n", + " 15 | 0123 | HHHH | 15\n" + ] + } + ], + "source": [ + "show(coin_search(4))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can see that every odd-numbered move flips all four coins to eliminate the possibility of `TTTT`, flipping it to `HHHH`. We can also see that moves 2, 4, and 6 flip two coins and have the effect of eventually eliminating the two \"two heads\" sequences from the belief state, and then move 8 eliminates the \"three heads\" and \"one heads\" sequences, while bringing back the \"two heads\" possibilities. Repeating moves 2, 4, and 6 in moves 10, 12, and 14 then re-eliminates the \"two heads\", and move 15 gets the belief state down to `{'HHHH'}`.\n", + "\n" + ] } ], "metadata": { From 2e1268847d0b52a5e6fff07629745ae0d280b86c Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Thu, 4 Jan 2018 21:56:40 -0800 Subject: [PATCH 02/90] Update README.md --- README.md | 1 + 1 file changed, 1 insertion(+) diff --git a/README.md b/README.md index 8970458..89c4025 100644 --- a/README.md +++ b/README.md @@ -12,6 +12,7 @@ Some are in Jupyter (IPython) notebooks, some in `.py` files. You can view the f |---| |[Advent of Code 2017](https://github.com/norvig/pytudes/blob/master/ipynb/Advent%202017.ipynb)
*Puzzle site with a coding puzzle each day for Advent 2017.*| |[Advent of Code 2016](https://github.com/norvig/pytudes/blob/master/ipynb/Advent%20of%20Code.ipynb)
*Puzzle site with a coding puzzle each day for Advent 2016*.| +|[The Devil and the Coin Flip Game](https://github.com/norvig/pytudes/blob/master/ipynb/Coin%20Flip.ipynb)
*How to beat the Devil at his own game.*| |[Translating English Sentences into Propositional Logic Statements](https://github.com/norvig/pytudes/blob/master/ipynb/PropositionalLogic.ipynb)
*Automatically converting informal English sentences into formal Propositional Logic.*| |[The Puzzle of the Misanthropic Neighbors](https://github.com/norvig/pytudes/blob/master/ipynb/Mean%20Misanthrope%20Density.ipynb)
*How crowded will this neighborhood be, if nobody wants to live next door to anyone else?*| |[Countdown to 2016](https://github.com/norvig/pytudes/blob/master/ipynb/Countdown.ipynb)
*Solving the equation 10 _ 9 _ 8 _ 7 _ 6 _ 5 _ 4 _ 3 _ 2 _ 1 = 2016. From an Alex Bellos puzzle.*| From 9b2a5fcc81152f30f50e67135197567e7890e29f Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Fri, 5 Jan 2018 19:34:58 -0800 Subject: [PATCH 03/90] Add files via upload --- ipynb/Coin Flip.ipynb | 843 +++++++++++++++++++----------------------- 1 file changed, 374 insertions(+), 469 deletions(-) diff --git a/ipynb/Coin Flip.ipynb b/ipynb/Coin Flip.ipynb index 7843eae..5f4ec79 100644 --- a/ipynb/Coin Flip.ipynb +++ b/ipynb/Coin Flip.ipynb @@ -6,69 +6,105 @@ "source": [ "# The Devil and the Coin Flip Game\n", "\n", - ">You're playing a game with the devil, with your soul at stake. You're sitting at a circular table which has 4 coins, arranged in a diamond, at the 12, 3, 6, and 9 o'clock positions. You are blindfolded, and can never see the coins or the table.\n", + "If the Devil ever challenges me to a [fiddle contest](https://en.wikipedia.org/wiki/The_Devil_Went_Down_to_Georgia), I'm going to lose. I'd have a better chance at this contest:\n", "\n", - ">Your goal is to get all 4 coins showing heads, by telling the devil the position(s) of some coins to flip. We call this a \"move\" on your part. The devil must faithfully perform the requested flips, but may first sneakily rotate the table any number of quarter-turns, so that the coins are in different positions. You keep making moves, and the devil keeps rotating and flipping, until all 4 coins show heads.\n", + "> *You're playing a game with the devil, with your soul at stake. You're sitting at a circular table which has 4 coins, arranged in a diamond, at the 12, 3, 6, and 9 o'clock positions. You are blindfolded, and can never see the coins or the table.*\n", "\n", - "> Example: You tell the devil the 12 o'clock and 6 o'clock positions. The devil could leave the table unrotated (or could rotate it a half-turn), and then flip the two coins that you specified. Or the devil could rotate the table a quarter turn in either direction, and then flip the coins that are now in the 12 o'clock and 6 o'clock positions (which were formerly at 3 o'clock and 9 o'clock). You won't know which of these actions the devil took.\n", + "> *Your goal is to get all 4 coins showing heads, by telling the devil the position(s) of some coins to flip. We call this a \"move\" on your part. The devil must faithfully perform the requested flips, but may first sneakily rotate the table any number of quarter-turns, so that the coins are in different positions. You keep making moves, and the devil keeps rotating and flipping, until all 4 coins show heads.*\n", "\n", - "> What is a shortest sequence of moves that is *guaranteed* to win, no matter what the initial state of the coins, and no matter what rotations the devil applies?\n", + "> *Example: You tell the devil the 12 o'clock and 6 o'clock positions. The devil could leave the table unrotated (or could rotate it a half-turn), and then flip the two coins that you specified. Or the devil could rotate the table a quarter turn in either direction, and then flip the coins that are now in the 12 o'clock and 6 o'clock positions (which were formerly at 3 o'clock and 9 o'clock). You won't know which of these actions the devil took.*\n", + "\n", + "> *What is a shortest sequence of moves that is *guaranteed* to win, no matter what the initial state of the coins, and no matter what rotations the devil applies?*\n", "\n", "# Analysis\n", "\n", - "The player, being blindfolded, does not know the true state of the coins. So the player should represent what is known: the *set of possible states* of the coins. We call this a *belief state*. At the start of the game, each of the four coins could be either heads or tails, so that's 24 = 16 possibilities in the belief state. \n", + "The player, being blindfolded, does not know the true state of the coins. So the player should represent what is known: the *set of possible states* of the coins. We call this a *belief state*. At the start of the game, each of the four coins could be either heads or tails, so that's 24 = 16 possibilities in the belief state:\n", "\n", - "A move updates the belief state as follows: for every coin sequence in the current belief state, rotate it in every possible way, and then flip the coins specified by the position(s) in the move. Collect all these results together to form the new belief state. Solving the game means coming up with a sequence of moves that ends in a belief state consisting of just `{'HHHH'}`. It must be a shortest possible sequence, so a breadth-first search seems right. The search space will be tiny, so compute time will be trivial; the only issue is specifying the domain correctly. To increase the chance of getting it correct, I won't try to do anything fancy, such as noticing that some coin sequences are rotational variants of other sequences.\n", + " {HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT, THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT}\n", + "\n", + "The idea is that even though the player doesn't know for sure what the actual state of the coins is, nor what rotations the devil performs, the player can still manipulate the belief state towards the goal belief state:\n", + "\n", + " {HHHH}\n", + "\n", + "A move updates the belief state as follows: for every coin sequence in the current belief state, rotate it in every possible way, and then flip the coins specified by the position(s) in the move. Collect all these results together to form the new belief state. Solving the game means coming up with a list of moves that ends in the belief state `{'HHHH'}`. It must be a shortest possible sequence of moves, so a [breadth-first search](https://en.wikipedia.org/wiki/Breadth-first_search) is appropriate. The search space is small (just 216 possible belief states), so run time will be fast; the only issue is specifying the domain correctly. To increase the chance of getting it right, I won't try to do anything fancy, such as noticing that some coin sequences are rotational variants of other sequences.\n", "\n", "\n", "# Implementation Choices\n", "\n", "Here are the main concepts, and my implementation choices:\n", "\n", - "- `Coins`: A *coin sequence* is represented as a `str` of four characters, such as `'HTTT'`. \n", - "- `Belief`: A *belief state* is represented as a `frozenset` of `Coins` (frozen so that it can be hashed in a `set`).\n", - "- `Move`: A *move* is a set of positions to flip. A position will be an integer index into the coin sequence, so a move is a set of these such as `{0, 1}`, which we can interpret as \"flip the 12 o'clock (0) and 3 o'clock (1) positions.\" \n", - "- `all_coins`: Set of all possible coin sequences: `{'HHHH', 'HHHT', ...}`.\n", - "- `rotations`: The function `rotations(coins)` returns a list of all 4 rotations of the coin sequence.\n", - "- `update`: The function `update(belief, move)` returns an updated belief state, representing all the possible coin sequences that could result from any devil rotation followed by the specified flip(s). (But don't flip `'HHHH'`, because the game would have already ended.)\n", - "- `flip`: The function `flip(coins, move)` flips the specified positions within the coin sequence." + "- `Coins`: A *coin sequence* (on the table) is represented as a `str` of four characters, such as `'HTTT'`. \n", + "- `Belief`: A *belief state* is represented as a `frozenset` of `Coins` (frozen so that it can be hashed).\n", + "- `Position`: A position is an integer index into the coin sequence; position `0` selects the `H` in `'HTTT'`\n", + "and corresponds to the 12 o'clock position; position 1 corresponds to 3 o'clock, and so on.\n", + "- `Move`: A *move* is a set of positions to flip, such as `{0, 1}`. \n", + "- `Strategy`: A strategy for playing the game is just a list of moves. Since there is no feedback while playing\n", + "(the player is blindfolded) there is no need for decision points in the strategy.\n", + "- `all_coins()`: A belief state consisting of the set of all possible coin sequences: `{'HHHH', 'HHHT', ...}`.\n", + "- `rotations(coins)`: returns a set of all 4 rotations of the coin sequence.\n", + "- `update(belief, move)`: an updated belief state: all the coin sequences that could result from any rotation followed by the specified flip(s).\n", + "- `flip(coins, move)`: flips the specified positions within the coin sequence.\n", + " (But don't flip `'HHHH'`, because the game would have already ended if this were the coin sequence.)" ] }, { "cell_type": "code", "execution_count": 1, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "from collections import deque, Counter\n", "from itertools import product, combinations\n", "import random\n", "\n", - "Coins = ''.join # A coin sequence, such as 'HHHT'.\n", - "Belief = frozenset # A belief state is a set of possible coin sequences.\n", - "Move = set # A Move is a set of positions to flip.\n", - "all_coins = Belief(map(Coins, product('HT', repeat=4)))\n", + "Coins = ''.join # A coin sequence; a str: 'HHHT'.\n", + "Belief = frozenset # A set of possible coin sequences: {'HHHT', 'TTTH'}\n", + "Move = set # A set of positions to flip: {0, 1}\n", + "Strategy = list # A list of Moves: [{0, 1}, {0, 1, 2, 3}, ...]\n", + "\n", + "def all_coins() -> Belief:\n", + " \"Return the belief set consisting of all possible coin sequences.\"\n", + " return Belief(map(Coins, product('HT', repeat=4)))\n", "\n", "def rotations(coins) -> [Coins]: \n", " \"A list of all possible rotations of a coin sequence.\"\n", - " return [coins[r:] + coins[:r] for r in range(4)]\n", + " return {coins[r:] + coins[:r] for r in range(4)}\n", "\n", "def update(belief, move) -> Belief:\n", " \"Update belief: consider all possible rotations, then flip.\"\n", - " return Belief((c if c == 'HHHH' else flip(c, move))\n", + " return Belief(flip(c, move)\n", " for coins in belief\n", " for c in rotations(coins))\n", "\n", "def flip(coins, move) -> Coins:\n", - " \"Flip the coins in the positions specified by the move.\"\n", + " \"Flip the coins in the positions specified by the move (but leave 'HHHH' alone).\"\n", + " if coins == 'HHHH': return coins\n", " coins = list(coins) # Need a mutable sequence\n", " for i in move:\n", " coins[i] = ('H' if coins[i] == 'T' else 'T')\n", " return Coins(coins)" ] }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT, THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT'" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "', '.join(sorted(all_coins()))" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -78,10 +114,8 @@ }, { "cell_type": "code", - "execution_count": 2, - "metadata": { - "collapsed": false - }, + "execution_count": 3, + "metadata": {}, "outputs": [ { "data": { @@ -89,7 +123,7 @@ "'THTT'" ] }, - "execution_count": 2, + "execution_count": 3, "metadata": {}, "output_type": "execute_result" } @@ -100,18 +134,16 @@ }, { "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false - }, + "execution_count": 4, + "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "['HHHT', 'HHTH', 'HTHH', 'THHH']" + "{'HHHT', 'HHTH', 'HTHH', 'THHH'}" ] }, - "execution_count": 3, + "execution_count": 4, "metadata": {}, "output_type": "execute_result" } @@ -122,10 +154,8 @@ }, { "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": false - }, + "execution_count": 5, + "metadata": {}, "outputs": [ { "data": { @@ -148,13 +178,13 @@ " 'TTTT'})" ] }, - "execution_count": 4, + "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "all_coins" + "all_coins()" ] }, { @@ -166,10 +196,8 @@ }, { "cell_type": "code", - "execution_count": 5, - "metadata": { - "collapsed": false - }, + "execution_count": 6, + "metadata": {}, "outputs": [ { "data": { @@ -191,13 +219,13 @@ " 'TTTH'})" ] }, - "execution_count": 5, + "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "update(all_coins, {0, 1, 2, 3})" + "update(all_coins(), {0, 1, 2, 3})" ] }, { @@ -209,10 +237,8 @@ }, { "cell_type": "code", - "execution_count": 6, - "metadata": { - "collapsed": false - }, + "execution_count": 7, + "metadata": {}, "outputs": [], "source": [ "def powerset(sequence): \n", @@ -224,10 +250,8 @@ }, { "cell_type": "code", - "execution_count": 7, - "metadata": { - "collapsed": false - }, + "execution_count": 8, + "metadata": {}, "outputs": [ { "data": { @@ -250,7 +274,7 @@ " {0, 1, 2, 3}]" ] }, - "execution_count": 7, + "execution_count": 8, "metadata": {}, "output_type": "execute_result" } @@ -266,41 +290,53 @@ "# Search for a Solution\n", "\n", "The generic function `search` does a breadth-first search starting\n", - "from a `start` state, looking for a `goal` belief state, considering possible `moves` at each turn,\n", - "and updating the belief state according to the `update` function. As is typical for search algorithms, we build a search tree, keeping a queue of tree `nodes` to consider, where each \n", - "node consists of a path (a sequence of moves) and a resulting belief state. We also keep track, in `explored`, of\n", - "the states we have already explored, so that we don't have to revisit them. Note an interesting fact: the `search` function works on belief states, but would be exactly the same if we were searching on individual states, not belief states (the only difference would be to the parameters, not the code: the `start`, `goal`, and `update` values would be different).\n", + "from a `start` state, looking for a `goal` state, considering possible `actions` (a collection of moves) at each turn,\n", + "and computing the `result` of each action (`result` is a function such that `result(state, action)` returns the new state that results from executing the action in the current state). It works by keeping a queue of unexplored possibilities, where each entry in the queue is a pair consisting of a *strategy* (sequence of moves) and a *state* that that strategy leads to. We also keep a set of `explored` states, so that we don't repeat ourselves.\n", "\n", - "The `coin_search` function calls the generic `search` function to solve our specific problem:\n" + "Amazingly, \n", + "even though we want to search in the space of *belief states*, we can still use the generic search function that is designed for regular-old-states. The search for belief states just works, as long as we properly specify the start state, the goal state, and the means of moving between states." ] }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "def search(start, goal, actions, result) -> Strategy:\n", + " \"Breadth-first search from start state to goal; return strategy to get to goal.\"\n", + " explored = set()\n", + " queue = deque([([], start)])\n", + " while queue:\n", + " (strategy, state) = queue.popleft()\n", + " if state == goal:\n", + " return strategy\n", + " for action in actions:\n", + " state2 = result(state, action)\n", + " if state2 not in explored:\n", + " explored.add(state2)\n", + " queue.append((strategy + [action], state2))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The `coin_search` function calls the generic `search` function to solve our specific problem:" + ] + }, + { + "cell_type": "code", + "execution_count": 10, "metadata": { - "collapsed": false + "collapsed": true }, "outputs": [], "source": [ - "def search(start, goal, update, moves) -> [Move]:\n", - " \"Breadth-first search from start belief state to goal.\"\n", - " explored = set()\n", - " queue = deque([Node([], start)])\n", - " while queue:\n", - " (path, belief) = queue.popleft()\n", - " if belief == goal:\n", - " return path\n", - " for move in moves:\n", - " belief2 = update(belief, move)\n", - " if belief2 not in explored:\n", - " explored.add(belief2)\n", - " queue.append(Node(path + [move], belief2))\n", - " \n", - "def coin_search() -> [Move]: \n", - " \"Use the generic `search` function to solve the Coin Flip problem.\"\n", - " return search(all_coins, {'HHHH'}, update, powerset(range(4)))\n", - " \n", - "def Node(path, belief) -> tuple: return (path, belief)" + "def coin_search() -> Strategy: \n", + " \"Use `search` to solve the Coin Flip problem.\"\n", + " return search(start=all_coins(), goal={'HHHH'}, \n", + " actions=powerset(range(4)), result=update)" ] }, { @@ -312,10 +348,8 @@ }, { "cell_type": "code", - "execution_count": 9, - "metadata": { - "collapsed": false - }, + "execution_count": 11, + "metadata": {}, "outputs": [ { "data": { @@ -337,7 +371,7 @@ " {0, 1, 2, 3}]" ] }, - "execution_count": 9, + "execution_count": 11, "metadata": {}, "output_type": "execute_result" } @@ -350,27 +384,32 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "That's a 15-move sequence that is guaranteed to lead to a win. You can stop reading here if all you want is the answer to the puzzle. Or you can continue on ...\n", + "That's a 15-move strategy that is guaranteed to lead to a win. Stop here if all you want is the answer to the puzzle. Or you can continue on ...\n", + "\n", + "----\n", "\n", "# Verifying the Solution\n", "\n", - "Can I verify that the solution is correct? Exploring with paper and pencil, it does appear to work. A colleague did the puzzle and got the same answer, so that's a good sign. And here's further validation: The function `random_devil` takes an initial coin sequence and a sequence of moves, and plays those moves with a devil that chooses rotations randomly, returning the number of moves it takes until the player wins. Note this is dealing ith concrete, individual states of the world, like `HTHH`, not belief states." + "I don't have a proof, but I have some evidence that the solution is correct:\n", + "- Exploring with paper and pencil, it does appear to work. \n", + "- A colleague did the puzzle and got the same answer. \n", + "- Running the function `random_devil` below is consistent with it working.\n", + "\n", + "The function `random_devil` takes an initial coin sequence and a sequence of moves, and plays those moves with a devil that chooses rotations randomly, returning the number of moves it takes until the player wins. Note this is dealing ith concrete, individual states of the world, like `HTHH`, not belief states." ] }, { "cell_type": "code", - "execution_count": 10, - "metadata": { - "collapsed": false - }, + "execution_count": 12, + "metadata": {}, "outputs": [], "source": [ - "def random_devil(coins, moves) -> int or None:\n", + "def random_devil(coins, strategy) -> int or None:\n", " \"\"\"A random devil responds to moves starting from coins; \n", " return the number of moves until win, or None.\"\"\"\n", " if coins == 'HHHH': return 0\n", - " for (i, move) in enumerate(moves, 1):\n", - " coins = flip(random.choice(rotations(coins)), move)\n", + " for (i, move) in enumerate(strategy, 1):\n", + " coins = flip(random.choice(list(rotations(coins))), move)\n", " if coins == 'HHHH': \n", " return i\n", " return None" @@ -380,94 +419,33 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "I will let the `random_devil` play 1000 times from each possible starting coin sequence:" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "Counter({0: 1000,\n", - " 1: 1000,\n", - " 2: 1026,\n", - " 3: 974,\n", - " 4: 938,\n", - " 5: 1016,\n", - " 6: 1009,\n", - " 7: 1037,\n", - " 8: 961,\n", - " 9: 1035,\n", - " 10: 983,\n", - " 11: 1013,\n", - " 12: 1009,\n", - " 13: 966,\n", - " 14: 1037,\n", - " 15: 996})" - ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "moves = coin_search()\n", - "\n", - "Counter(random_devil(coins, moves) \n", - " for coins in all_coins\n", - " for _ in range(1000))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "This says that the player won all 16,000 times. (If the player had ever lost, there would have been an entry for `None` in the Counter.)\n", - "The remarkable thing, which I can't explain, is that there are very nearly exactly 1,000 results for each of the move counts from 0 to 15. Can you explain that?\n", - "\n", - "# Canonical Coin Sequences and Moves\n", - "\n", - "Consider the four coin sequences `{'HHHT', 'HHTH', 'HTHH', 'THHH'}`. In a sense, these are all the same: they all denote the same sequence of coins with the table rotated to different degrees. Since the devil is free to rotate the table any amount at any time, we could be justified in treating all four of these as equivalent, and collapsing them into one representative member (we could arbitrarily choose the one that comes first in alphabetical order, `'HHHT'`). I will write a definition for `Belief` that returns a `frozenset`, just like before, but makes it a set of canonical coin sequences.\n", - "\n", - "Similarly, the four moves `{3}, {2}, {1},` and `{0}` are equivalent, in that they all say \"flip exactly one of the coins, but since you're going to rotate the table first anyway, it doesn't matter which one I specify.\" I will write a function `canonical_moves` that lists all the canonical rotationally invariant moves corresponding to a belief state." - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "def Belief(coin_collection): \n", - " \"A set of all the coin sequences in this collection, canonicalized.\"\n", - " return frozenset(min(rotations(c)) for c in coin_collection)\n", - "\n", - "def canonical_moves(coin_collection):\n", - " \"All rotationally invariant moves for a sequence of N coins.\"\n", - " return [set(i for (i, coin) in enumerate(coins) if coin == 'H')\n", - " for coins in sorted(coin_collection) \n", - " if 'H' in coins]" + "I will let the `random_devil` play 10,000 times from each possible starting coin sequence:" ] }, { "cell_type": "code", "execution_count": 13, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "frozenset({'HHHH', 'HHHT', 'HHTT', 'HTHT', 'HTTT', 'TTTT'})" + "Counter({0: 10000,\n", + " 1: 10000,\n", + " 2: 10067,\n", + " 3: 9933,\n", + " 4: 9862,\n", + " 5: 10014,\n", + " 6: 10162,\n", + " 7: 9962,\n", + " 8: 9951,\n", + " 9: 10108,\n", + " 10: 9947,\n", + " 11: 10044,\n", + " 12: 9841,\n", + " 13: 9986,\n", + " 14: 10127,\n", + " 15: 9996})" ] }, "execution_count": 13, @@ -476,45 +454,70 @@ } ], "source": [ - "Belief(all_coins)" + "strategy = coin_search()\n", + "\n", + "Counter(random_devil(coins, strategy) \n", + " for coins in all_coins()\n", + " for _ in range(10000))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "The starting belief set is down from 16 sequences to 6. Call these 4 heads, 3 heads, 2 adjacent heads, 2 opposite heads, 1 head, and no heads, respectively. " + "This says that the player won all 16,000 times. (If the player had ever lost, there would have been an entry for `None` in the Counter.) This suggests the strategy is likely to win, but doesn't prove it will always win, and doesn't say anything about the possibility of a shorter solution.\n", + "The remarkable thing, which I can't explain, is that there are very nearly exactly 1,000 results for each of the move counts from 0 to 15. Can you explain that?\n", + "\n", + "# Canonical Coin Sequences\n", + "\n", + "Consider the four coin sequences `{'HHHT', 'HHTH', 'HTHH', 'THHH'}`. In a sense, these are all the same: they all denote the same sequence of coins with the table rotated to different degrees. Since the devil is free to rotate the table any amount at any time, we could be justified in treating all four of these as equivalent, and collapsing them into one representative member (we could arbitrarily choose the one that comes first in alphabetical order, `'HHHT'`). I will redefine `Belief` as a function that returns a `frozenset`, just like before, but makes it a set of `canonical` coin sequences." ] }, { "cell_type": "code", "execution_count": 14, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "[{0, 1, 2, 3}, {0, 1, 2}, {0, 1}, {0, 2}, {0}]" - ] - }, - "execution_count": 14, - "metadata": {}, - "output_type": "execute_result" - } - ], + "metadata": {}, + "outputs": [], "source": [ - "canonical_moves(_)" + "def canonical(coins): return min(rotations(coins))\n", + "\n", + "def Belief(coin_collection): \n", + " \"A set of all the coin sequences in this collection, canonicalized.\"\n", + " return frozenset(canonical(coins) for coins in coin_collection)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Similarly, there are only 5 distinct moves, which we can call flip 4, flip 3, flip 2 adjacent, flip 2 opposite, and flip 1.\n", - "\n", - "I have to confess to a form of cheating here: I threw in the `sorted` in `canonical_moves` even though it was not necessary. By including it, I made sure that `{0, 1, 2, 3}` is the first of the possible moves, which makes `coin_search` faster, because half the time `{0, 1, 2, 3}` is the right move to make." + "With `Belief` redefined, the result of calling `all_coins` will be different:" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "frozenset({'HHHH', 'HHHT', 'HHTT', 'HTHT', 'HTTT', 'TTTT'})" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "all_coins()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The starting belief set is down from 16 to 6, namely 4 heads, 3 heads, 2 adjacent heads, 2 opposite heads, 1 head, and no heads, respectively. " ] }, { @@ -523,118 +526,74 @@ "source": [ "# Solutions for *N* Coins\n", "\n", - "What if there are 3 coins on the table arranged in a triangle? Or 6 coins in a hexagon? To answer that, I'll generalize the two functions that have a \"4\" in them, `coin_search`, and `rotations`. I'll also generalize `update`, which had `'HHHH'` in it. And I'll introduce the function `canonical_coins` to return a belief state of all canonical coin sequences of length `N`." - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "def coin_search(N=4):\n", - " start = canonical_coins(N)\n", - " return search(start, {'H' * N}, update, canonical_moves(start))\n", - "\n", - "def rotations(coins) -> [Coins]: \n", - " \"A list of all possible rotations of a coin sequence.\"\n", - " return [coins[r:] + coins[:r] for r in range(len(coins))]\n", - " \n", - "def update(belief, move) -> Belief:\n", - " \"Update belief: consider all possible rotations, then flip.\"\n", - " return Belief((flip(c, move) if 'T' in c else c)\n", - " for coins in belief\n", - " for c in rotations(coins))\n", - "\n", - "def canonical_coins(N) -> Belief: \n", - " return Belief(map(Coins, product('HT', repeat=N)))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "First verify that we didn't break `search`:" + "What if there are 3 coins on the table arranged in a triangle? Or 6 coins in a hexagon? To answer that, I'll generalize the three functions that have a \"4\" in them, `all_coins`, `rotations` and `coin_search`. I'll also generalize `flip`, which had `'HHHH'` in it. " ] }, { "cell_type": "code", "execution_count": 16, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "[{0, 1, 2, 3},\n", - " {0, 2},\n", - " {0, 1, 2, 3},\n", - " {0, 1},\n", - " {0, 1, 2, 3},\n", - " {0, 2},\n", - " {0, 1, 2, 3},\n", - " {0, 1, 2},\n", - " {0, 1, 2, 3},\n", - " {0, 2},\n", - " {0, 1, 2, 3},\n", - " {0, 1},\n", - " {0, 1, 2, 3},\n", - " {0, 2},\n", - " {0, 1, 2, 3}]" - ] - }, - "execution_count": 16, - "metadata": {}, - "output_type": "execute_result" - } - ], + "metadata": {}, + "outputs": [], "source": [ - "coin_search(4)" + "def all_coins(N=4) -> Belief:\n", + " \"Return the belief set consisting of all possible coin sequences.\"\n", + " return Belief(map(Coins, product('HT', repeat=N)))\n", + "\n", + "def rotations(coins) -> [Coins]: \n", + " \"A list of all possible rotations of a coin sequence.\"\n", + " return {coins[r:] + coins[:r] for r in range(len(coins))}\n", + "\n", + "def coin_search(N=4) -> Strategy: \n", + " \"Use the generic `search` function to solve the Coin Flip problem.\"\n", + " return search(start=all_coins(N), goal={'H' * N}, \n", + " actions=all_moves(N), result=update)\n", + "\n", + "def flip(coins, move) -> Coins:\n", + " \"Flip the coins in the positions specified by the move (but leave all 'H' alone).\"\n", + " if 'T' not in coins: return coins\n", + " coins = list(coins) # Need a mutable sequence\n", + " for i in move:\n", + " coins[i] = ('H' if coins[i] == 'T' else 'T')\n", + " return Coins(coins)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Now test the new definitions:" + "I also need to generalize `all_moves`. To compute the set of possible moves for 4 coins, I used `powerset`, and got 16 possible moves. Now I want to know the set od canonicalized moves for any *N*. To get that, I'll look at the canonicalized set of `all_coins(N)`, and for each one pull out the positions that have an `H` in them, and flip those (the positions with a `T` should be symmetric, so we don't need them as well)." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { - "collapsed": false + "collapsed": true }, - "outputs": [ - { - "data": { - "text/plain": [ - "['HHHHHT', 'HHHHTH', 'HHHTHH', 'HHTHHH', 'HTHHHH', 'THHHHH']" - ] - }, - "execution_count": 17, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ - "rotations('HHHHHT')" + "def all_moves(N) -> [Move]:\n", + " \"All rotationally invariant moves for a sequence of N coins.\"\n", + " return [set(i for (i, coin) in enumerate(coins) if coin == 'H')\n", + " for coins in sorted(all_coins(N))]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Let's test the new definitions:" ] }, { "cell_type": "code", "execution_count": 18, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "frozenset({'HHHHHH', 'HHHHTT', 'HHHTHT', 'HHTHHT'})" + "'ok'" ] }, "execution_count": 18, @@ -643,20 +602,25 @@ } ], "source": [ - "update(_, {0})" + "assert all_moves(4) == [{0, 1, 2, 3}, {0, 1, 2}, {0, 1}, {0, 2}, {0}, set()]\n", + "assert all_coins(4) == {'HHHH', 'HHHT', 'HHTT', 'HTHT', 'HTTT', 'TTTT'}\n", + "assert all_coins(5) == {'HHHHH','HHHHT', 'HHHTT','HHTHT','HHTTT', 'HTHTT', 'HTTTT', 'TTTTT'}\n", + "assert rotations('HHHHHT') == {'HHHHHT', 'HHHHTH', 'HHHTHH', 'HHTHHH', 'HTHHHH', 'THHHHH'}\n", + "assert update({'TTTTTTT'}, {3}) == {'HTTTTTT'}\n", + "assert (update(rotations('HHHHHT'), {0}) == update({'HHHHHT'}, {1 })== update({'HHHHHT'}, {2})\n", + " == {'HHHHHH', 'HHHHTT', 'HHHTHT', 'HHTHHT'})\n", + "'ok'" ] }, { "cell_type": "code", "execution_count": 19, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "frozenset({'HHHH', 'HHHT', 'HHTT', 'HTHT', 'HTTT', 'TTTT'})" + "[{0, 1, 2, 3}, {0, 1, 2}, {0, 1}, {0, 2}, {0}, set()]" ] }, "execution_count": 19, @@ -665,27 +629,18 @@ } ], "source": [ - "canonical_coins(4)" + "all_moves(4)" ] }, { "cell_type": "code", "execution_count": 20, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "frozenset({'HHHHH',\n", - " 'HHHHT',\n", - " 'HHHTT',\n", - " 'HHTHT',\n", - " 'HHTTT',\n", - " 'HTHTT',\n", - " 'HTTTT',\n", - " 'TTTTT'})" + "{'HHHHHT', 'HHHHTH', 'HHHTHH', 'HHTHHH', 'HTHHHH', 'THHHHH'}" ] }, "execution_count": 20, @@ -694,20 +649,29 @@ } ], "source": [ - "canonical_coins(5)" + " rotations('HHHHHT')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "With 4 coins we can flip 4, flip 3, flip 2 adjacent, flip 2 opposite, flip 1, or flip nothing.\n", + "Similarly, with 4 coins there can be 4 heads 3 heads, 2 adjacent heads, 2 opposite heads, 1 head, or no heads.\n", + "If we start with 6 coins of which one is `'T'`, and do a single flip (and it doesn't matter what position that flip is), then either the Devil flips the `'T'`, in which case we get all heads, or it can flip an `'H'` which is either adjacent to, 2 away from, or 3 away from the existing `'T'`.\n", + "\n", + "How many distinct canonical coin sequences are there for *N* coins from 1 to 10?" ] }, { "cell_type": "code", "execution_count": 21, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "[{0, 1, 2, 3, 4}, {0, 1, 2, 3}, {0, 1, 2}, {0, 1, 3}, {0, 1}, {0, 2}, {0}]" + "{1: 2, 2: 3, 3: 4, 4: 6, 5: 8, 6: 14, 7: 20, 8: 36, 9: 60, 10: 108}" ] }, "execution_count": 21, @@ -716,64 +680,7 @@ } ], "source": [ - "canonical_moves(_)" - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "frozenset({'HHHHHH',\n", - " 'HHHHHT',\n", - " 'HHHHTT',\n", - " 'HHHTHT',\n", - " 'HHHTTT',\n", - " 'HHTHHT',\n", - " 'HHTHTT',\n", - " 'HHTTHT',\n", - " 'HHTTTT',\n", - " 'HTHTHT',\n", - " 'HTHTTT',\n", - " 'HTTHTT',\n", - " 'HTTTTT',\n", - " 'TTTTTT'})" - ] - }, - "execution_count": 22, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "canonical_coins(6)" - ] - }, - { - "cell_type": "code", - "execution_count": 23, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "{1: 2, 2: 3, 3: 4, 4: 6, 5: 8, 6: 14, 7: 20, 8: 36, 9: 60, 10: 108}" - ] - }, - "execution_count": 23, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "{N: len(canonical_coins(N))\n", + "{N: len(all_coins(N))\n", " for N in range(1, 11)}" ] }, @@ -788,10 +695,8 @@ }, { "cell_type": "code", - "execution_count": 24, - "metadata": { - "collapsed": false - }, + "execution_count": 22, + "metadata": {}, "outputs": [ { "data": { @@ -819,7 +724,7 @@ " 7: None}" ] }, - "execution_count": 24, + "execution_count": 22, "metadata": {}, "output_type": "execute_result" } @@ -834,7 +739,7 @@ "source": [ "Too bad; there are no solutions for N = 3, 5, 6, or 7. \n", "\n", - "There are solutions for N = 1, 2, 4; of lengths 1, 3, 15. That suggests the conjecture: \n", + "There are solutions for N = 1, 2, 4; they have lengths 1, 3, 15, respectively. That suggests the conjecture: \n", "\n", "> For every *N* that is a power of 2, there will be a shortest solution of length 2*N* - 1.\n", "\n", @@ -842,37 +747,44 @@ "\n", "# Solution for 8 Coins\n", "\n", - "Even though there are 236 = 68 billion belief states fo N = 8, and the desired solution has 255 steps, I hope it won't take too long. Let's try:" + "For N = 8, there are 236 = 69 billion belief states and the desired solution has 255 steps. All the computations up to now have been instantaneous, but this one should take a few minutes. Let's see:" ] }, { "cell_type": "code", - "execution_count": 25, - "metadata": { - "collapsed": false - }, + "execution_count": 23, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 1min 58s, sys: 1.36 s, total: 2min\n", - "Wall time: 2min 18s\n" + "CPU times: user 1min 20s, sys: 295 ms, total: 1min 20s\n", + "Wall time: 1min 20s\n" ] - }, + } + ], + "source": [ + "%time solution8 = coin_search(8)" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ { "data": { "text/plain": [ "255" ] }, - "execution_count": 25, + "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "%time solution8 = coin_search(8)\n", "len(solution8)" ] }, @@ -880,15 +792,97 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Eureka! That's evidence in favor of my conjecture, and it took less time than I thought it would. Here is the solution:" + "Eureka! That's evidence in favor of the conjecture. But not proof. And it leaves many questions unanswered:\n", + "- Can you show there are no solutions for *N* = 9, 10, 11, ...?\n", + "- Can you prove there are no solutions for any *N* that is not a power of 2?\n", + "- Can you find a solution of length 65,535 for *N* = 16 and verify that it works?\n", + "- Can you generate a solution for any power of 2 (without proving it is shortest)?\n", + "- Can you prove there are no shorter solutions for *N* = 16?\n", + "- Can you prove the conjecture in general?\n", + "- Can you *understand* and *explain* how the solution works, rather than just listing the moves?" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Visualizing the Solution\n", + "\n", + "To aid understanding, I'll print a table showing the belief state after each move, using the canonicalized `Belief` form, lined up neatly in columns." + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [], + "source": [ + "def show(moves, N=4):\n", + " \"For each move, print the move number, move, and belief state.\"\n", + " belief = all_coins(N)\n", + " order = sorted(belief)\n", + " show_line(0, {}, belief, order, N)\n", + " for (i, move) in enumerate(moves, 1):\n", + " belief = update(belief, move)\n", + " show_line(i, move, belief, order, N)\n", + "\n", + "def show_line(i, move, belief, order, N):\n", + " \"Print the move number, move, and belief state.\"\n", + " ordered_belief = [(coins if coins in belief else ' ' * len(coins))\n", + " for coins in order]\n", + " movestr = join((i if i in move else ' ') for i in range(N))\n", + " print('{:3} | {:8} | {} | {}'\n", + " .format(i, movestr, join(ordered_belief, ' '), i))\n", + " \n", + "def join(items, sep='') -> str: return sep.join(map(str, items))" ] }, { "cell_type": "code", "execution_count": 26, - "metadata": { - "collapsed": false - }, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " 0 | | HHHH HHHT HHTT HTHT HTTT TTTT | 0\n", + " 1 | 0123 | HHHH HHHT HHTT HTHT HTTT | 1\n", + " 2 | 0 2 | HHHH HHHT HHTT HTTT TTTT | 2\n", + " 3 | 0123 | HHHH HHHT HHTT HTTT | 3\n", + " 4 | 01 | HHHH HHHT HTHT HTTT TTTT | 4\n", + " 5 | 0123 | HHHH HHHT HTHT HTTT | 5\n", + " 6 | 0 2 | HHHH HHHT HTTT TTTT | 6\n", + " 7 | 0123 | HHHH HHHT HTTT | 7\n", + " 8 | 012 | HHHH HHTT HTHT TTTT | 8\n", + " 9 | 0123 | HHHH HHTT HTHT | 9\n", + " 10 | 0 2 | HHHH HHTT TTTT | 10\n", + " 11 | 0123 | HHHH HHTT | 11\n", + " 12 | 01 | HHHH HTHT TTTT | 12\n", + " 13 | 0123 | HHHH HTHT | 13\n", + " 14 | 0 2 | HHHH TTTT | 14\n", + " 15 | 0123 | HHHH | 15\n" + ] + } + ], + "source": [ + "show(coin_search(4))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can see that every odd-numbered move flips all four coins to eliminate the possibility of `TTTT`, flipping it to `HHHH`. We can also see that moves 2, 4, and 6 flip two coins and have the effect of eventually eliminating the two \"two heads\" sequences from the belief state, and then move 8 eliminates the \"three heads\" and \"one heads\" sequences, while bringing back the \"two heads\" possibilities. Repeating moves 2, 4, and 6 in moves 10, 12, and 14 then re-eliminates the \"two heads\", and move 15 gets the belief state down to `{'HHHH'}`.\n", + "\n", + "You could call `show(solution8)`, but the results look bad unless you have a very wide (340 characters) screen to view it on. So I'll just show `solution8` itself:\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, "outputs": [ { "data": { @@ -1150,7 +1144,7 @@ " {0, 1, 2, 3, 4, 5, 6, 7}]" ] }, - "execution_count": 26, + "execution_count": 27, "metadata": {}, "output_type": "execute_result" } @@ -1158,95 +1152,6 @@ "source": [ "solution8" ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Of course, seeing that the pattern works up to *N* = 8 is not a proof, and this leaves many questions for you, the reader, to consider:\n", - "- Can you show there are no solutions for *N* = 9, 10, 11 (and maybe further)?\n", - "- Can you prove there are no solutions for *N* that is not a power of 2?\n", - "- Can you find a solution of length 65,535 for *N* = 16 and verify that it works?\n", - "- Can you prove there are no shorter solutions for *N* = 16?\n", - "- Can you prove the conjecture in general?\n", - "- Can you *understand* and *explain* how the solution works, rather than just listing the moves?" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Visualizing the Solution\n", - "\n", - "To help you understand solutions, I'll print a table showing the belief state after each move, using the canonicalized `Belief` form, and lining them up neatly in columns." - ] - }, - { - "cell_type": "code", - "execution_count": 27, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "def show(moves, belief=all_coins):\n", - " \"For each move, print the move number, move, and belief state.\"\n", - " show_line(0, 'start', belief)\n", - " for (i, move) in enumerate(moves, 1):\n", - " belief = update(belief, move)\n", - " show_line(i, move, belief)\n", - "\n", - "def show_line(i, move, belief, order=sorted(Belief(all_coins))):\n", - " \"Print the move number, move, and belief state.\"\n", - " ordered_belief = [(coins if coins in belief else ' ' * len(coins))\n", - " for coins in order]\n", - " print('{:3} | {:6} | {} | {}'\n", - " .format(i, join(move), join(ordered_belief, ' '), i))\n", - " \n", - "def join(items, sep='') -> str: return sep.join(map(str, items))" - ] - }, - { - "cell_type": "code", - "execution_count": 28, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - " 0 | start | HHHH HHHT HHTT HTHT HTTT TTTT | 0\n", - " 1 | 0123 | HHHH HHHT HHTT HTHT HTTT | 1\n", - " 2 | 02 | HHHH HHHT HHTT HTTT TTTT | 2\n", - " 3 | 0123 | HHHH HHHT HHTT HTTT | 3\n", - " 4 | 01 | HHHH HHHT HTHT HTTT TTTT | 4\n", - " 5 | 0123 | HHHH HHHT HTHT HTTT | 5\n", - " 6 | 02 | HHHH HHHT HTTT TTTT | 6\n", - " 7 | 0123 | HHHH HHHT HTTT | 7\n", - " 8 | 012 | HHHH HHTT HTHT TTTT | 8\n", - " 9 | 0123 | HHHH HHTT HTHT | 9\n", - " 10 | 02 | HHHH HHTT TTTT | 10\n", - " 11 | 0123 | HHHH HHTT | 11\n", - " 12 | 01 | HHHH HTHT TTTT | 12\n", - " 13 | 0123 | HHHH HTHT | 13\n", - " 14 | 02 | HHHH TTTT | 14\n", - " 15 | 0123 | HHHH | 15\n" - ] - } - ], - "source": [ - "show(coin_search(4))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We can see that every odd-numbered move flips all four coins to eliminate the possibility of `TTTT`, flipping it to `HHHH`. We can also see that moves 2, 4, and 6 flip two coins and have the effect of eventually eliminating the two \"two heads\" sequences from the belief state, and then move 8 eliminates the \"three heads\" and \"one heads\" sequences, while bringing back the \"two heads\" possibilities. Repeating moves 2, 4, and 6 in moves 10, 12, and 14 then re-eliminates the \"two heads\", and move 15 gets the belief state down to `{'HHHH'}`.\n", - "\n" - ] } ], "metadata": { @@ -1265,7 +1170,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.0" + "version": "3.5.3" } }, "nbformat": 4, From 0c47de151a0b331ec08aaec01927ea01dd926c2f Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Fri, 5 Jan 2018 20:21:48 -0800 Subject: [PATCH 04/90] Add files via upload --- ipynb/Coin Flip.ipynb | 518 +++++++++++++++++++++--------------------- 1 file changed, 259 insertions(+), 259 deletions(-) diff --git a/ipynb/Coin Flip.ipynb b/ipynb/Coin Flip.ipynb index 5f4ec79..2d34181 100644 --- a/ipynb/Coin Flip.ipynb +++ b/ipynb/Coin Flip.ipynb @@ -875,282 +875,282 @@ "source": [ "We can see that every odd-numbered move flips all four coins to eliminate the possibility of `TTTT`, flipping it to `HHHH`. We can also see that moves 2, 4, and 6 flip two coins and have the effect of eventually eliminating the two \"two heads\" sequences from the belief state, and then move 8 eliminates the \"three heads\" and \"one heads\" sequences, while bringing back the \"two heads\" possibilities. Repeating moves 2, 4, and 6 in moves 10, 12, and 14 then re-eliminates the \"two heads\", and move 15 gets the belief state down to `{'HHHH'}`.\n", "\n", - "You could call `show(solution8)`, but the results look bad unless you have a very wide (340 characters) screen to view it on. So I'll just show `solution8` itself:\n", + "You could call `show(solution8)`, but the results look bad unless you have a very wide (340 characters) screen to view it on. So I'll just show `solution8` itself, with move numbers:\n", "\n" ] }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "[{0, 1, 2, 3, 4, 5, 6, 7},\n", - " {0, 2, 4, 6},\n", - " {0, 1, 2, 3, 4, 5, 6, 7},\n", - " {0, 1, 4, 5},\n", - " {0, 1, 2, 3, 4, 5, 6, 7},\n", - " {0, 2, 4, 6},\n", - " {0, 1, 2, 3, 4, 5, 6, 7},\n", - " {0, 1, 2, 4, 5, 6},\n", - " {0, 1, 2, 3, 4, 5, 6, 7},\n", - " {0, 2, 4, 6},\n", - " {0, 1, 2, 3, 4, 5, 6, 7},\n", - " {0, 1, 4, 5},\n", - " {0, 1, 2, 3, 4, 5, 6, 7},\n", - " {0, 2, 4, 6},\n", - " {0, 1, 2, 3, 4, 5, 6, 7},\n", - " {0, 1, 2, 3},\n", - " {0, 1, 2, 3, 4, 5, 6, 7},\n", - " {0, 2, 4, 6},\n", - " {0, 1, 2, 3, 4, 5, 6, 7},\n", - " {0, 1, 4, 5},\n", - " {0, 1, 2, 3, 4, 5, 6, 7},\n", - " {0, 2, 4, 6},\n", - " {0, 1, 2, 3, 4, 5, 6, 7},\n", - " {0, 1, 2, 4, 5, 6},\n", - " {0, 1, 2, 3, 4, 5, 6, 7},\n", - " {0, 2, 4, 6},\n", - " {0, 1, 2, 3, 4, 5, 6, 7},\n", - " {0, 1, 4, 5},\n", - " 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31, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "solution8" + "dict(zip(range(1, 256), solution8))" ] } ], From 39c9b52ea2c835ddd7b5836c945a25af8be5ebbf Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Fri, 5 Jan 2018 20:50:31 -0800 Subject: [PATCH 05/90] Add files via upload --- Coin Flip.ipynb | 1172 +++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 1172 insertions(+) create mode 100644 Coin Flip.ipynb diff --git a/Coin Flip.ipynb b/Coin Flip.ipynb new file mode 100644 index 0000000..c52082e --- /dev/null +++ b/Coin Flip.ipynb @@ -0,0 +1,1172 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# The Devil and the Coin Flip Game\n", + "\n", + "If the Devil ever challenges me to a [fiddle contest](https://en.wikipedia.org/wiki/The_Devil_Went_Down_to_Georgia), I'm going to lose. I'd have a better chance at this contest:\n", + "\n", + "> *You're playing a game with the devil, with your soul at stake. You're sitting at a circular table which has 4 coins, arranged in a diamond, at the 12, 3, 6, and 9 o'clock positions. You are blindfolded, and can never see the coins or the table.*\n", + "\n", + "> *Your goal is to get all 4 coins showing heads, by telling the devil the position(s) of some coins to flip. We call this a \"move\" on your part. The devil must faithfully perform the requested flips, but may first sneakily rotate the table any number of quarter-turns, so that the coins are in different positions. You keep making moves, and the devil keeps rotating and flipping, until all 4 coins show heads.*\n", + "\n", + "> *Example: You tell the devil the 12 o'clock and 6 o'clock positions. The devil could leave the table unrotated (or could rotate it a half-turn), and then flip the two coins that you specified. Or the devil could rotate the table a quarter turn in either direction, and then flip the coins that are now in the 12 o'clock and 6 o'clock positions (which were formerly at 3 o'clock and 9 o'clock). You won't know which of these actions the devil took.*\n", + "\n", + "> *What is a shortest sequence of moves that is *guaranteed* to win, no matter what the initial state of the coins, and no matter what rotations the devil applies?*\n", + "\n", + "# Analysis\n", + "\n", + "The player, being blindfolded, does not know the true state of the coins. So the player should represent what is known: the *set of possible states* of the coins. We call this a *belief state*. At the start of the game, each of the four coins could be either heads or tails, so that's 24 = 16 possibilities in the belief state:\n", + "\n", + " {HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT, THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT}\n", + "\n", + "The idea is that even though the player doesn't know for sure what the actual state of the coins is, nor what rotations the devil performs, the player can still manipulate the belief state towards the goal belief state:\n", + "\n", + " {HHHH}\n", + "\n", + "A move updates the belief state as follows: for every coin sequence in the current belief state, rotate it in every possible way, and then flip the coins specified by the position(s) in the move. Collect all these results together to form the new belief state. Solving the game means coming up with a list of moves that ends in the belief state `{'HHHH'}`. It must be a shortest possible sequence of moves, so a [breadth-first search](https://en.wikipedia.org/wiki/Breadth-first_search) is appropriate. The search space is small (just 216 possible belief states), so run time will be fast; the only issue is specifying the domain correctly. To increase the chance of getting it right, I won't try to do anything fancy, such as noticing that some coin sequences are rotational variants of other sequences.\n", + "\n", + "\n", + "# Implementation Choices\n", + "\n", + "Here are the main concepts, and my implementation choices:\n", + "\n", + "- `Coins`: A *coin sequence* (on the table) is represented as a `str` of four characters, such as `'HTTT'`. \n", + "- `Belief`: A *belief state* is represented as a `frozenset` of `Coins` (frozen so that it can be hashed).\n", + "- `Position`: A position is an integer index into the coin sequence; position `0` selects the `H` in `'HTTT'`\n", + "and corresponds to the 12 o'clock position; position 1 corresponds to 3 o'clock, and so on.\n", + "- `Move`: A *move* is a set of positions to flip, such as `{0, 1}`. \n", + "- `Strategy`: A strategy for playing the game is just a list of moves. Since there is no feedback while playing\n", + "(the player is blindfolded) there is no need for decision points in the strategy.\n", + "- `all_coins()`: A belief state consisting of the set of all possible coin sequences: `{'HHHH', 'HHHT', ...}`.\n", + "- `rotations(coins)`: returns a set of all 4 rotations of the coin sequence.\n", + "- `update(belief, move)`: an updated belief state: all the coin sequences that could result from any rotation followed by the specified flip(s).\n", + "- `flip(coins, move)`: flips the specified positions within the coin sequence.\n", + " (But don't flip `'HHHH'`, because the game would have already ended if this were the coin sequence.)" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "from collections import deque, Counter\n", + "from itertools import product, combinations\n", + "import random\n", + "\n", + "Coins = ''.join # A coin sequence; a str: 'HHHT'.\n", + "Belief = frozenset # A set of possible coin sequences: {'HHHT', 'TTTH'}\n", + "Move = set # A set of positions to flip: {0, 1}\n", + "Strategy = list # A list of Moves: [{0, 1}, {0, 1, 2, 3}, ...]\n", + "\n", + "def all_coins() -> Belief:\n", + " \"Return the belief set consisting of all possible coin sequences.\"\n", + " return Belief(map(Coins, product('HT', repeat=4)))\n", + "\n", + "def rotations(coins) -> {Coins}: \n", + " \"A list of all possible rotations of a coin sequence.\"\n", + " return {coins[r:] + coins[:r] for r in range(4)}\n", + "\n", + "def update(belief, move) -> Belief:\n", + " \"Update belief: consider all possible rotations, then flip.\"\n", + " return Belief(flip(c, move)\n", + " for coins in belief\n", + " for c in rotations(coins))\n", + "\n", + "def flip(coins, move) -> Coins:\n", + " \"Flip the coins in the positions specified by the move (but leave 'HHHH' alone).\"\n", + " if coins == 'HHHH': return coins\n", + " coins = list(coins) # Need a mutable sequence\n", + " for i in move:\n", + " coins[i] = ('H' if coins[i] == 'T' else 'T')\n", + " return Coins(coins)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Let's try out these functions:" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'THTT'" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "flip('HHHT', {0, 2})" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{'HHHT', 'HHTH', 'HTHH', 'THHH'}" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "rotations('HHHT')" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "frozenset({'HHHH',\n", + " 'HHHT',\n", + " 'HHTH',\n", + " 'HHTT',\n", + " 'HTHH',\n", + " 'HTHT',\n", + " 'HTTH',\n", + " 'HTTT',\n", + " 'THHH',\n", + " 'THHT',\n", + " 'THTH',\n", + " 'THTT',\n", + " 'TTHH',\n", + " 'TTHT',\n", + " 'TTTH',\n", + " 'TTTT'})" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "all_coins()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We see there are 16 coin sequences in the `all_coins` belief state. Now if we update this belief state by flipping all 4 positions, we should get a new belief state where we have eliminated the possibility of 4 tails, leaving 15 possible coin sequences:" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "frozenset({'HHHH',\n", + " 'HHHT',\n", + " 'HHTH',\n", + " 'HHTT',\n", + " 'HTHH',\n", + " 'HTHT',\n", + " 'HTTH',\n", + " 'HTTT',\n", + " 'THHH',\n", + " 'THHT',\n", + " 'THTH',\n", + " 'THTT',\n", + " 'TTHH',\n", + " 'TTHT',\n", + " 'TTTH'})" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "update(all_coins(), {0, 1, 2, 3})" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Everything looks good so far. One more thing: we need to find all subsets of the 4 positions; these are the possible moves:" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def powerset(sequence): \n", + " \"All subsets of a sequence.\"\n", + " return [set(c) \n", + " for r in range(len(sequence) + 1)\n", + " for c in combinations(sequence, r)]" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[set(),\n", + " {0},\n", + " {1},\n", + " {2},\n", + " {3},\n", + " {0, 1},\n", + " {0, 2},\n", + " {0, 3},\n", + " {1, 2},\n", + " {1, 3},\n", + " {2, 3},\n", + " {0, 1, 2},\n", + " {0, 1, 3},\n", + " {0, 2, 3},\n", + " {1, 2, 3},\n", + " {0, 1, 2, 3}]" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "powerset(range(4))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Search for a Solution\n", + "\n", + "The generic function `search` does a breadth-first search starting\n", + "from a `start` state, looking for a `goal` state, considering possible `actions` (a collection of moves) at each turn,\n", + "and computing the `result` of each action (`result` is a function such that `result(state, action)` returns the new state that results from executing the action in the current state). It works by keeping a queue of unexplored possibilities, where each entry in the queue is a pair consisting of a *strategy* (sequence of moves) and a *state* that that strategy leads to. We also keep a set of `explored` states, so that we don't repeat ourselves.\n", + "\n", + "Amazingly, \n", + "even though we want to search in the space of *belief states*, we can still use the generic search function that is designed for regular-old-states. The search for belief states just works, as long as we properly specify the start state, the goal state, and the means of moving between states." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def search(start, goal, actions, result) -> Strategy:\n", + " \"Breadth-first search from start state to goal; return strategy to get to goal.\"\n", + " explored = set()\n", + " queue = deque([([], start)])\n", + " while queue:\n", + " (strategy, state) = queue.popleft()\n", + " if state == goal:\n", + " return strategy\n", + " for action in actions:\n", + " state2 = result(state, action)\n", + " if state2 not in explored:\n", + " explored.add(state2)\n", + " queue.append((strategy + [action], state2))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The `coin_search` function calls the generic `search` function to solve our specific problem:" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def coin_search() -> Strategy: \n", + " \"Use `search` to solve the Coin Flip problem.\"\n", + " return search(start=all_coins(), goal={'HHHH'}, \n", + " actions=powerset(range(4)), result=update)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# A Solution" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[{0, 1, 2, 3},\n", + " {0, 2},\n", + " {0, 1, 2, 3},\n", + " {0, 1},\n", + " {0, 1, 2, 3},\n", + " {0, 2},\n", + " {0, 1, 2, 3},\n", + " {0},\n", + " {0, 1, 2, 3},\n", + " {0, 2},\n", + " {0, 1, 2, 3},\n", + " {0, 1},\n", + " {0, 1, 2, 3},\n", + " {0, 2},\n", + " {0, 1, 2, 3}]" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "coin_search()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "That's a 15-move strategy that is guaranteed to lead to a win. Stop here if all you want is the answer to the puzzle. Or you can continue on ...\n", + "\n", + "----\n", + "\n", + "# Verifying the Solution\n", + "\n", + "I don't have a proof, but I have some evidence that the solution is correct:\n", + "- Exploring with paper and pencil, it does appear to work. \n", + "- A colleague did the puzzle and got the same answer. \n", + "- Running the function `random_devil` below is consistent with it working.\n", + "\n", + "The function `random_devil` takes an initial coin sequence and a sequence of moves, and plays those moves with a devil that chooses rotations randomly, returning the number of moves it takes until the player wins. Note this is dealing with concrete, individual states of the world, like `HTHH`, not belief states." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def random_devil(coins, strategy) -> int or None:\n", + " \"\"\"A random devil responds to moves starting from coins; \n", + " return the number of moves until win, or None.\"\"\"\n", + " if coins == 'HHHH': return 0\n", + " for (i, move) in enumerate(strategy, 1):\n", + " coins = flip(random.choice(list(rotations(coins))), move)\n", + " if coins == 'HHHH': \n", + " return i\n", + " return None" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "I will let the `random_devil` play 10,000 times from each possible starting coin sequence:" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Counter({0: 10000,\n", + " 1: 10000,\n", + " 2: 10033,\n", + " 3: 9967,\n", + " 4: 9996,\n", + " 5: 9962,\n", + " 6: 10027,\n", + " 7: 10015,\n", + " 8: 9895,\n", + " 9: 10011,\n", + " 10: 9995,\n", + " 11: 10127,\n", + " 12: 10019,\n", + " 13: 9902,\n", + " 14: 10074,\n", + " 15: 9977})" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "strategy = coin_search()\n", + "\n", + "Counter(random_devil(coins, strategy) \n", + " for coins in all_coins()\n", + " for _ in range(10000))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This says that the player won all 160,000 times. (If the player had ever lost, there would have been an entry for `None` in the Counter.) This suggests the strategy is likely to win, but doesn't prove it will always win, and doesn't say anything about the possibility of a shorter solution.\n", + "The remarkable thing, which I can't explain, is that there are very nearly exactly 10,000 results for each of the move counts from 0 to 15. Can you explain that?\n", + "\n", + "# Canonical Coin Sequences\n", + "\n", + "Consider these coin sequences: `{'HHHT', 'HHTH', 'HTHH', 'THHH'}`. In a sense, these are all the same: they all denote the same sequence of coins with the table rotated to different degrees. Since the devil is free to rotate the table any amount at any time, we could be justified in treating all four of these as equivalent, and collapsing them into one representative member (we could arbitrarily choose the one that comes first in alphabetical order, `'HHHT'`). I will redefine `Belief` as a function that returns a `frozenset`, just like before, but makes it a set of `canonical` coin sequences." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def canonical(coins): return min(rotations(coins))\n", + "\n", + "def Belief(coin_collection): \n", + " \"A set of all the coin sequences in this collection, canonicalized.\"\n", + " return frozenset(map(canonical, coin_collection))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "With `Belief` redefined, the result of calling `all_coins` will be different:" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "frozenset({'HHHH', 'HHHT', 'HHTT', 'HTHT', 'HTTT', 'TTTT'})" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "all_coins()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The starting belief set is down from 16 to 6, namely 4 heads, 3 heads, 2 adjacent heads, 2 opposite heads, 1 head, and no heads, respectively. " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Solutions for *N* Coins\n", + "\n", + "What if there are 3 coins on the table arranged in a triangle? Or 6 coins in a hexagon? To answer that, I'll generalize the three functions that have a \"4\" in them, `all_coins`, `rotations` and `coin_search`. I'll also generalize `flip`, which had `'HHHH'` in it. " + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def all_coins(N=4) -> Belief:\n", + " \"Return the belief set consisting of all possible coin sequences.\"\n", + " return Belief(map(Coins, product('HT', repeat=N)))\n", + "\n", + "def rotations(coins) -> {Coins}: \n", + " \"A list of all possible rotations of a coin sequence.\"\n", + " return {coins[r:] + coins[:r] for r in range(len(coins))}\n", + "\n", + "def coin_search(N=4) -> Strategy: \n", + " \"Use the generic `search` function to solve the Coin Flip problem.\"\n", + " return search(start=all_coins(N), goal={'H' * N}, \n", + " actions=all_moves(N), result=update)\n", + "\n", + "def flip(coins, move) -> Coins:\n", + " \"Flip the coins in the positions specified by the move (but leave all 'H' alone).\"\n", + " if 'T' not in coins: return coins\n", + " coins = list(coins) # Need a mutable sequence\n", + " for i in move:\n", + " coins[i] = ('H' if coins[i] == 'T' else 'T')\n", + " return Coins(coins)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "I also need to generalize `all_moves`. To compute the set of possible moves for 4 coins, I used `powerset`, and got 16 possible moves. Now I want to know the set od canonicalized moves for any *N*. To get that, I'll look at the canonicalized set of `all_coins(N)`, and for each one pull out the positions that have an `H` in them, and flip those (the positions with a `T` should be symmetric, so we don't need them as well)." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def all_moves(N) -> [Move]:\n", + " \"All rotationally invariant moves for a sequence of N coins.\"\n", + " return [set(i for (i, coin) in enumerate(coins) if coin == 'H')\n", + " for coins in sorted(all_coins(N))]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Let's test the new definitions:" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'ok'" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "assert all_moves(4) == [{0, 1, 2, 3}, {0, 1, 2}, {0, 1}, {0, 2}, {0}, set()]\n", + "assert all_coins(4) == {'HHHH', 'HHHT', 'HHTT', 'HTHT', 'HTTT', 'TTTT'}\n", + "assert all_coins(5) == {'HHHHH','HHHHT', 'HHHTT','HHTHT','HHTTT', 'HTHTT', 'HTTTT', 'TTTTT'}\n", + "assert rotations('HHHHHT') == {'HHHHHT', 'HHHHTH', 'HHHTHH', 'HHTHHH', 'HTHHHH', 'THHHHH'}\n", + "assert update({'TTTTTTT'}, {3}) == {'HTTTTTT'}\n", + "assert (update(rotations('HHHHHT'), {0}) == update({'HHHHHT'}, {1 })== update({'HHHHHT'}, {2})\n", + " == {'HHHHHH', 'HHHHTT', 'HHHTHT', 'HHTHHT'})\n", + "'ok'" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[{0, 1, 2, 3}, {0, 1, 2}, {0, 1}, {0, 2}, {0}, set()]" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "all_moves(4)" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{'HHHHHT', 'HHHHTH', 'HHHTHH', 'HHTHHH', 'HTHHHH', 'THHHHH'}" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + " rotations('HHHHHT')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "With 4 coins we can flip 4, flip 3, flip 2 adjacent, flip 2 opposite, flip 1, or flip nothing.\n", + "Similarly, with 4 coins there can be 4 heads 3 heads, 2 adjacent heads, 2 opposite heads, 1 head, or no heads.\n", + "If we start with 6 coins of which one is `'T'`, and do a single flip (and it doesn't matter what position that flip is), then either the Devil flips the `'T'`, in which case we get all heads, or it can flip an `'H'` which is either adjacent to, 2 away from, or 3 away from the existing `'T'`.\n", + "\n", + "How many distinct canonical coin sequences are there for *N* coins from 1 to 10?" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{1: 2, 2: 3, 3: 4, 4: 6, 5: 8, 6: 14, 7: 20, 8: 36, 9: 60, 10: 108}" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "{N: len(all_coins(N))\n", + " for N in range(1, 11)}" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On the one hand this is encouraging; there are only 108 canonical coin sequences of length 10, far less than the 1024 non-canonical squences. On the other hand, it is discouraging; since we are searching over the belief states, that would be 2108 ≌ 1032 belief states, which is infeasible. However, we should be able to easily handle up to N=7, because 220 is only a million.\n", + "\n", + "# Solutions for 1 to 7 Coins" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{1: [{0}],\n", + " 2: [{0, 1}, {0}, {0, 1}],\n", + " 3: None,\n", + " 4: [{0, 1, 2, 3},\n", + " {0, 2},\n", + " {0, 1, 2, 3},\n", + " {0, 1},\n", + " {0, 1, 2, 3},\n", + " {0, 2},\n", + " {0, 1, 2, 3},\n", + " {0, 1, 2},\n", + " {0, 1, 2, 3},\n", + " {0, 2},\n", + " {0, 1, 2, 3},\n", + " {0, 1},\n", + " {0, 1, 2, 3},\n", + " {0, 2},\n", + " {0, 1, 2, 3}],\n", + " 5: None,\n", + " 6: None,\n", + " 7: None}" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "{N: coin_search(N) for N in range(1, 8)}" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Too bad; there are no solutions for N = 3, 5, 6, or 7. \n", + "\n", + "There are solutions for N = 1, 2, 4; they have lengths 1, 3, 15, respectively. That suggests the conjecture: \n", + "\n", + "> For every *N* that is a power of 2, there will be a shortest solution of length 2*N* - 1.\n", + "\n", + "> For every *N* that is not a power of 2, there will be no solution. \n", + "\n", + "# Solution for 8 Coins\n", + "\n", + "For N = 8, there are 236 = 69 billion belief states and the desired solution has 255 steps. All the computations up to now have been instantaneous, but this one should take a few minutes. Let's see:" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 1min 22s, sys: 288 ms, total: 1min 22s\n", + "Wall time: 1min 23s\n" + ] + } + ], + "source": [ + "%time solution8 = coin_search(8)" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "255" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "len(solution8)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Eureka! That's evidence in favor of the conjecture. But not proof. And it leaves many questions unanswered:\n", + "- Can you show there are no solutions for *N* = 9, 10, 11, ...?\n", + "- Can you prove there are no solutions for any *N* that is not a power of 2?\n", + "- Can you find a solution of length 65,535 for *N* = 16 and verify that it works?\n", + "- Can you generate a solution for any power of 2 (without proving it is shortest)?\n", + "- Can you prove there are no shorter solutions for *N* = 16?\n", + "- Can you prove the conjecture in general?\n", + "- Can you *understand* and *explain* how the solution works, rather than just listing the moves?" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Visualizing the Solution\n", + "\n", + "To aid understanding, I'll print a table showing the belief state after each move, using the canonicalized `Belief` form, lined up neatly in columns." + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def show(moves, N=4):\n", + " \"For each move, print the move number, move, and belief state.\"\n", + " belief = all_coins(N)\n", + " order = sorted(belief)\n", + " show_line(0, {}, belief, order, N)\n", + " for (i, move) in enumerate(moves, 1):\n", + " belief = update(belief, move)\n", + " show_line(i, move, belief, order, N)\n", + "\n", + "def show_line(i, move, belief, order, N):\n", + " \"Print the move number, move, and belief state.\"\n", + " ordered_belief = [(coins if coins in belief else ' ' * len(coins))\n", + " for coins in order]\n", + " movestr = join((i if i in move else ' ') for i in range(N))\n", + " print('{:3} | {:8} | {} | {}'\n", + " .format(i, movestr, join(ordered_belief, ' '), i))\n", + " \n", + "def join(items, sep='') -> str: return sep.join(map(str, items))" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " 0 | | HHHH HHHT HHTT HTHT HTTT TTTT | 0\n", + " 1 | 0123 | HHHH HHHT HHTT HTHT HTTT | 1\n", + " 2 | 0 2 | HHHH HHHT HHTT HTTT TTTT | 2\n", + " 3 | 0123 | HHHH HHHT HHTT HTTT | 3\n", + " 4 | 01 | HHHH HHHT HTHT HTTT TTTT | 4\n", + " 5 | 0123 | HHHH HHHT HTHT HTTT | 5\n", + " 6 | 0 2 | HHHH HHHT HTTT TTTT | 6\n", + " 7 | 0123 | HHHH HHHT HTTT | 7\n", + " 8 | 012 | HHHH HHTT HTHT TTTT | 8\n", + " 9 | 0123 | HHHH HHTT HTHT | 9\n", + " 10 | 0 2 | HHHH HHTT TTTT | 10\n", + " 11 | 0123 | HHHH HHTT | 11\n", + " 12 | 01 | HHHH HTHT TTTT | 12\n", + " 13 | 0123 | HHHH HTHT | 13\n", + " 14 | 0 2 | HHHH TTTT | 14\n", + " 15 | 0123 | HHHH | 15\n" + ] + } + ], + "source": [ + "show(coin_search(4))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can see that every odd-numbered move flips all four coins to eliminate the possibility of `TTTT`, flipping it to `HHHH`. We can also see that moves 2, 4, and 6 flip two coins and have the effect of eventually eliminating the two \"two heads\" sequences from the belief state, and then move 8 eliminates the \"three heads\" and \"one heads\" sequences, while bringing back the \"two heads\" possibilities. Repeating moves 2, 4, and 6 in moves 10, 12, and 14 then re-eliminates the \"two heads\", and move 15 gets the belief state down to `{'HHHH'}`.\n", + "\n", + "You could call `show(solution8)`, but the results look bad unless you have a very wide (340 characters) screen to view it on. So I'll just show `solution8` itself, with move numbers:\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{1: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 2: {0, 2, 4, 6},\n", + " 3: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 4: {0, 1, 4, 5},\n", + " 5: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 6: {0, 2, 4, 6},\n", + " 7: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 8: {0, 1, 2, 4, 5, 6},\n", + " 9: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 10: {0, 2, 4, 6},\n", + " 11: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 12: {0, 1, 4, 5},\n", + " 13: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 14: {0, 2, 4, 6},\n", + " 15: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 16: {0, 1, 2, 3},\n", + " 17: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 18: {0, 2, 4, 6},\n", + " 19: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 20: {0, 1, 4, 5},\n", + " 21: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 22: {0, 2, 4, 6},\n", + " 23: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 24: {0, 1, 2, 4, 5, 6},\n", + " 25: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 26: {0, 2, 4, 6},\n", + " 27: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 28: {0, 1, 4, 5},\n", + " 29: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 30: {0, 2, 4, 6},\n", + " 31: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 32: {0, 1, 2, 3, 4, 6},\n", + " 33: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 34: {0, 2, 4, 6},\n", + " 35: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 36: {0, 1, 4, 5},\n", + " 37: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 38: {0, 2, 4, 6},\n", + " 39: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 40: {0, 1, 2, 4, 5, 6},\n", + " 41: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 42: {0, 2, 4, 6},\n", + " 43: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 44: {0, 1, 4, 5},\n", + " 45: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 46: {0, 2, 4, 6},\n", + " 47: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 48: {0, 1, 2, 3},\n", + " 49: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 50: {0, 2, 4, 6},\n", + " 51: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 52: {0, 1, 4, 5},\n", + " 53: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 54: {0, 2, 4, 6},\n", + " 55: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 56: {0, 1, 2, 4, 5, 6},\n", + " 57: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 58: {0, 2, 4, 6},\n", + " 59: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 60: {0, 1, 4, 5},\n", + " 61: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 62: {0, 2, 4, 6},\n", + " 63: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 64: {0, 1, 2, 3, 4, 5},\n", + " 65: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 66: {0, 2, 4, 6},\n", + " 67: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 68: {0, 1, 4, 5},\n", + " 69: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 70: {0, 2, 4, 6},\n", + " 71: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 72: {0, 1, 2, 4, 5, 6},\n", + " 73: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 74: {0, 2, 4, 6},\n", + " 75: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 76: {0, 1, 4, 5},\n", + " 77: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 78: {0, 2, 4, 6},\n", + " 79: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 80: {0, 1, 2, 3},\n", + " 81: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 82: {0, 2, 4, 6},\n", + " 83: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 84: {0, 1, 4, 5},\n", + " 85: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 86: {0, 2, 4, 6},\n", + " 87: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 88: {0, 1, 2, 4, 5, 6},\n", + " 89: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 90: {0, 2, 4, 6},\n", + " 91: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 92: {0, 1, 4, 5},\n", + " 93: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 94: {0, 2, 4, 6},\n", + " 95: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 96: {0, 1, 2, 3, 4, 6},\n", + " 97: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 98: {0, 2, 4, 6},\n", + " 99: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 100: {0, 1, 4, 5},\n", + " 101: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 102: {0, 2, 4, 6},\n", + " 103: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 104: {0, 1, 2, 4, 5, 6},\n", + " 105: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 106: {0, 2, 4, 6},\n", + " 107: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 108: {0, 1, 4, 5},\n", + " 109: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 110: {0, 2, 4, 6},\n", + " 111: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 112: {0, 1, 2, 3},\n", + " 113: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 114: {0, 2, 4, 6},\n", + " 115: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 116: {0, 1, 4, 5},\n", + " 117: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 118: {0, 2, 4, 6},\n", + " 119: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 120: {0, 1, 2, 4, 5, 6},\n", + " 121: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 122: {0, 2, 4, 6},\n", + " 123: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 124: {0, 1, 4, 5},\n", + " 125: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 126: {0, 2, 4, 6},\n", + " 127: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 128: {0, 1, 2, 3, 4, 5, 6},\n", + " 129: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 130: {0, 2, 4, 6},\n", + " 131: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 132: {0, 1, 4, 5},\n", + " 133: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 134: {0, 2, 4, 6},\n", + " 135: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 136: {0, 1, 2, 4, 5, 6},\n", + " 137: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 138: {0, 2, 4, 6},\n", + " 139: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 140: {0, 1, 4, 5},\n", + " 141: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 142: {0, 2, 4, 6},\n", + " 143: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 144: {0, 1, 2, 3},\n", + " 145: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 146: {0, 2, 4, 6},\n", + " 147: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 148: {0, 1, 4, 5},\n", + " 149: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 150: {0, 2, 4, 6},\n", + " 151: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 152: {0, 1, 2, 4, 5, 6},\n", + " 153: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 154: {0, 2, 4, 6},\n", + " 155: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 156: {0, 1, 4, 5},\n", + " 157: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 158: {0, 2, 4, 6},\n", + " 159: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 160: {0, 1, 2, 3, 4, 6},\n", + " 161: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 162: {0, 2, 4, 6},\n", + " 163: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 164: {0, 1, 4, 5},\n", + " 165: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 166: {0, 2, 4, 6},\n", + " 167: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 168: {0, 1, 2, 4, 5, 6},\n", + " 169: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 170: {0, 2, 4, 6},\n", + " 171: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 172: {0, 1, 4, 5},\n", + " 173: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 174: {0, 2, 4, 6},\n", + " 175: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 176: {0, 1, 2, 3},\n", + " 177: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 178: {0, 2, 4, 6},\n", + " 179: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 180: {0, 1, 4, 5},\n", + " 181: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 182: {0, 2, 4, 6},\n", + " 183: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 184: {0, 1, 2, 4, 5, 6},\n", + " 185: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 186: {0, 2, 4, 6},\n", + " 187: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 188: {0, 1, 4, 5},\n", + " 189: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 190: {0, 2, 4, 6},\n", + " 191: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 192: {0, 1, 2, 3, 4, 5},\n", + " 193: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 194: {0, 2, 4, 6},\n", + " 195: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 196: {0, 1, 4, 5},\n", + " 197: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 198: {0, 2, 4, 6},\n", + " 199: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 200: {0, 1, 2, 4, 5, 6},\n", + " 201: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 202: {0, 2, 4, 6},\n", + " 203: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 204: {0, 1, 4, 5},\n", + " 205: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 206: {0, 2, 4, 6},\n", + " 207: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 208: {0, 1, 2, 3},\n", + " 209: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 210: {0, 2, 4, 6},\n", + " 211: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 212: {0, 1, 4, 5},\n", + " 213: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 214: {0, 2, 4, 6},\n", + " 215: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 216: {0, 1, 2, 4, 5, 6},\n", + " 217: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 218: {0, 2, 4, 6},\n", + " 219: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 220: {0, 1, 4, 5},\n", + " 221: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 222: {0, 2, 4, 6},\n", + " 223: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 224: {0, 1, 2, 3, 4, 6},\n", + " 225: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 226: {0, 2, 4, 6},\n", + " 227: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 228: {0, 1, 4, 5},\n", + " 229: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 230: {0, 2, 4, 6},\n", + " 231: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 232: {0, 1, 2, 4, 5, 6},\n", + " 233: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 234: {0, 2, 4, 6},\n", + " 235: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 236: {0, 1, 4, 5},\n", + " 237: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 238: {0, 2, 4, 6},\n", + " 239: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 240: {0, 1, 2, 3},\n", + " 241: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 242: {0, 2, 4, 6},\n", + " 243: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 244: {0, 1, 4, 5},\n", + " 245: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 246: {0, 2, 4, 6},\n", + " 247: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 248: {0, 1, 2, 4, 5, 6},\n", + " 249: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 250: {0, 2, 4, 6},\n", + " 251: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 252: {0, 1, 4, 5},\n", + " 253: {0, 1, 2, 3, 4, 5, 6, 7},\n", + " 254: {0, 2, 4, 6},\n", + " 255: {0, 1, 2, 3, 4, 5, 6, 7}}" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "dict(zip(range(1, 256), solution8))" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.5.3" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} From 89d31e9d90a734e6496e778cbdc60a30124b4f68 Mon Sep 17 00:00:00 2001 From: polonez Date: Wed, 10 Jan 2018 14:24:20 +0900 Subject: [PATCH 06/90] Fix typo --- ipynb/Economics.ipynb | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/ipynb/Economics.ipynb b/ipynb/Economics.ipynb index 84ef6a5..340bd83 100644 --- a/ipynb/Economics.ipynb +++ b/ipynb/Economics.ipynb @@ -326,7 +326,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# SImulation Visualization\n", + "# Simulation Visualization\n", "\n", "If we want to do larger simulations we'll need a better way to visualize the results.\n", "The function `show` does that:" From 26bfd0c63903c7d4a991a41a8364ee7d2b18ba0b Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Wed, 10 Jan 2018 17:52:23 -0800 Subject: [PATCH 07/90] Add files via upload --- ipynb/Coin Flip.ipynb | 404 +++++++++++++++++++++++------------------- 1 file changed, 219 insertions(+), 185 deletions(-) diff --git a/ipynb/Coin Flip.ipynb b/ipynb/Coin Flip.ipynb index 2d34181..40f91c8 100644 --- a/ipynb/Coin Flip.ipynb +++ b/ipynb/Coin Flip.ipynb @@ -6,7 +6,7 @@ "source": [ "# The Devil and the Coin Flip Game\n", "\n", - "If the Devil ever challenges me to a [fiddle contest](https://en.wikipedia.org/wiki/The_Devil_Went_Down_to_Georgia), I'm going to lose. I'd have a better chance at this contest:\n", + "If the Devil ever challenges me to a [fiddle contest](https://en.wikipedia.org/wiki/The_Devil_Went_Down_to_Georgia), I'm going down. But I heard about a contest where I'd have a better chance:\n", "\n", "> *You're playing a game with the devil, with your soul at stake. You're sitting at a circular table which has 4 coins, arranged in a diamond, at the 12, 3, 6, and 9 o'clock positions. You are blindfolded, and can never see the coins or the table.*\n", "\n", @@ -18,31 +18,33 @@ "\n", "# Analysis\n", "\n", - "The player, being blindfolded, does not know the true state of the coins. So the player should represent what is known: the *set of possible states* of the coins. We call this a *belief state*. At the start of the game, each of the four coins could be either heads or tails, so that's 24 = 16 possibilities in the belief state:\n", + "Here are my thoughts:\n", + "- We're looking for a \"shortest sequence of moves\" that reaches a goal. That's a [shortest path search problem](https://en.wikipedia.org/wiki/Shortest_path_problem). I've done that before.\n", + "- However, we are \"blinfolded\"; that makes it a [partially observable problem](https://en.wikipedia.org/wiki/Partially_observable_system) (in this case, not observable at all, but we still say \"partially\").\n", + "- In such problems, we don't know for sure the true state of the coins. So we should represent what is known: the *set of possible states* of the coins. We call this a *belief state*. At the start of the game, each of the four coins could be either heads or tails, so that's 24 = 16 possibilities in the belief state:\n", + " {HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT, \n", + " THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT}\n", "\n", - " {HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT, THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT}\n", + "- Since the Devil gets to make moves too, you might think that this is a [minimax](https://en.wikipedia.org/wiki/Minimax) problem: that we should choose the move that leads to the shortest path, given that the Devil has the option of making moves that lead to the longest path (or not; the problem doesn't say for sure). We could in fact model things this way.\n", + "- However, since we are already dealing with belief states, I think it is simpler to model this as a single-agent shortest path search in the space of belief states (not the space of physical states of the coins). We search for a path from the inital belief state to the goal belief state, `{HHHH}`.\n", "\n", - "The idea is that even though the player doesn't know for sure what the actual state of the coins is, nor what rotations the devil performs, the player can still manipulate the belief state towards the goal belief state:\n", - "\n", - " {HHHH}\n", - "\n", - "A move updates the belief state as follows: for every coin sequence in the current belief state, rotate it in every possible way, and then flip the coins specified by the position(s) in the move. Collect all these results together to form the new belief state. Solving the game means coming up with a list of moves that ends in the belief state `{'HHHH'}`. It must be a shortest possible sequence of moves, so a [breadth-first search](https://en.wikipedia.org/wiki/Breadth-first_search) is appropriate. The search space is small (just 216 possible belief states), so run time will be fast; the only issue is specifying the domain correctly. To increase the chance of getting it right, I won't try to do anything fancy, such as noticing that some coin sequences are rotational variants of other sequences.\n", + "- A move updates the belief state as follows: for every coin sequence in the current belief state, rotate it in every possible way, and then flip the coins specified by the position(s) in the move. Collect all these results together to form the new belief state. The search space is small (just 216 possible belief states), so run time will be fast; the only issue is specifying the domain correctly. To increase the chance of getting it right, I won't try to do anything fancy, such as noticing that some coin sequences are rotational variants of other sequences (although we'll come back to that later).\n", "\n", "\n", "# Implementation Choices\n", "\n", - "Here are the main concepts, and my implementation choices:\n", + "Here is the vocabulary of the problem, and my implementation choices:\n", "\n", "- `Coins`: A *coin sequence* (on the table) is represented as a `str` of four characters, such as `'HTTT'`. \n", "- `Belief`: A *belief state* is represented as a `frozenset` of `Coins` (frozen so that it can be hashed).\n", "- `Position`: A position is an integer index into the coin sequence; position `0` selects the `H` in `'HTTT'`\n", "and corresponds to the 12 o'clock position; position 1 corresponds to 3 o'clock, and so on.\n", "- `Move`: A *move* is a set of positions to flip, such as `{0, 1}`. \n", - "- `Strategy`: A strategy for playing the game is just a list of moves. Since there is no feedback while playing\n", + "- `Strategy`: A strategy for playing the game is a list of moves. Since there is no feedback while playing\n", "(the player is blindfolded) there is no need for decision points in the strategy.\n", - "- `all_coins()`: A belief state consisting of the set of all possible coin sequences: `{'HHHH', 'HHHT', ...}`.\n", + "- `all_coins()`: returns a belief state consisting of the set of all 16 possible coin sequences: `{'HHHH', 'HHHT', ...}`.\n", "- `rotations(coins)`: returns a set of all 4 rotations of the coin sequence.\n", - "- `update(belief, move)`: an updated belief state: all the coin sequences that could result from any rotation followed by the specified flip(s).\n", + "- `update(belief, move)`: returns an updated belief state: all the coin sequences that could result from any rotation followed by the specified flips.\n", "- `flip(coins, move)`: flips the specified positions within the coin sequence.\n", " (But don't flip `'HHHH'`, because the game would have already ended if this were the coin sequence.)" ] @@ -50,7 +52,9 @@ { "cell_type": "code", "execution_count": 1, - "metadata": {}, + "metadata": { + "collapsed": true + }, "outputs": [], "source": [ "from collections import deque, Counter\n", @@ -60,13 +64,13 @@ "Coins = ''.join # A coin sequence; a str: 'HHHT'.\n", "Belief = frozenset # A set of possible coin sequences: {'HHHT', 'TTTH'}\n", "Move = set # A set of positions to flip: {0, 1}\n", - "Strategy = list # A list of Moves: [{0, 1}, {0, 1, 2, 3}, ...]\n", + "Strategy = list # A list of Moves: [{0, 1, 2, 3}, {0, 2}, ...]\n", "\n", "def all_coins() -> Belief:\n", " \"Return the belief set consisting of all possible coin sequences.\"\n", " return Belief(map(Coins, product('HT', repeat=4)))\n", "\n", - "def rotations(coins) -> [Coins]: \n", + "def rotations(coins) -> {Coins}: \n", " \"A list of all possible rotations of a coin sequence.\"\n", " return {coins[r:] + coins[:r] for r in range(4)}\n", "\n", @@ -85,26 +89,6 @@ " return Coins(coins)" ] }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "'HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT, THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT'" - ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "', '.join(sorted(all_coins()))" - ] - }, { "cell_type": "markdown", "metadata": {}, @@ -114,7 +98,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 2, "metadata": {}, "outputs": [ { @@ -123,7 +107,7 @@ "'THTT'" ] }, - "execution_count": 3, + "execution_count": 2, "metadata": {}, "output_type": "execute_result" } @@ -134,7 +118,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 3, "metadata": {}, "outputs": [ { @@ -143,7 +127,7 @@ "{'HHHT', 'HHTH', 'HTHH', 'THHH'}" ] }, - "execution_count": 4, + "execution_count": 3, "metadata": {}, "output_type": "execute_result" } @@ -152,52 +136,52 @@ "rotations('HHHT')" ] }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "frozenset({'HHHH',\n", + " 'HHHT',\n", + " 'HHTH',\n", + " 'HHTT',\n", + " 'HTHH',\n", + " 'HTHT',\n", + " 'HTTH',\n", + " 'HTTT',\n", + " 'THHH',\n", + " 'THHT',\n", + " 'THTH',\n", + " 'THTT',\n", + " 'TTHH',\n", + " 'TTHT',\n", + " 'TTTH',\n", + " 'TTTT'})" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "all_coins()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We see there are 16 coin sequences in the `all_coins` belief state. Now if we update this belief state by flipping all 4 positions, we should get a new belief state where we have eliminated the possibility of 4 tails, leaving 15 possible coin sequences:" + ] + }, { "cell_type": "code", "execution_count": 5, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "frozenset({'HHHH',\n", - " 'HHHT',\n", - " 'HHTH',\n", - " 'HHTT',\n", - " 'HTHH',\n", - " 'HTHT',\n", - " 'HTTH',\n", - " 'HTTT',\n", - " 'THHH',\n", - " 'THHT',\n", - " 'THTH',\n", - " 'THTT',\n", - " 'TTHH',\n", - " 'TTHT',\n", - " 'TTTH',\n", - " 'TTTT'})" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "all_coins()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We see there are 16 coin sequences in the `all_coins` belief state. Now if we update this belief state by flipping all 4 positions, we should get a new belief state where we have eliminated the possibility of 4 tails, leaving 15 possible coin sequences:" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, "outputs": [ { "data": { @@ -219,7 +203,7 @@ " 'TTTH'})" ] }, - "execution_count": 6, + "execution_count": 5, "metadata": {}, "output_type": "execute_result" } @@ -237,8 +221,10 @@ }, { "cell_type": "code", - "execution_count": 7, - "metadata": {}, + "execution_count": 6, + "metadata": { + "collapsed": true + }, "outputs": [], "source": [ "def powerset(sequence): \n", @@ -250,7 +236,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 7, "metadata": {}, "outputs": [ { @@ -274,7 +260,7 @@ " {0, 1, 2, 3}]" ] }, - "execution_count": 8, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" } @@ -290,23 +276,22 @@ "# Search for a Solution\n", "\n", "The generic function `search` does a breadth-first search starting\n", - "from a `start` state, looking for a `goal` state, considering possible `actions` (a collection of moves) at each turn,\n", - "and computing the `result` of each action (`result` is a function such that `result(state, action)` returns the new state that results from executing the action in the current state). It works by keeping a queue of unexplored possibilities, where each entry in the queue is a pair consisting of a *strategy* (sequence of moves) and a *state* that that strategy leads to. We also keep a set of `explored` states, so that we don't repeat ourselves.\n", - "\n", - "Amazingly, \n", - "even though we want to search in the space of *belief states*, we can still use the generic search function that is designed for regular-old-states. The search for belief states just works, as long as we properly specify the start state, the goal state, and the means of moving between states." + "from a `start` state, looking for a `goal` state, considering possible `actions` at each turn,\n", + "and computing the `result` of each action (`result` is a function such that `result(state, action)` returns the new state that results from executing the action in the current state). `search` works by keeping a `queue` of unexplored possibilities, where each entry in the queue is a pair consisting of a *strategy* (sequence of moves) and a *state* that that strategy leads to. We also keep track of a set of `explored` states, so that we don't repeat ourselves. I've defined this function (or one just like it) multiple times before, for use in different search problems." ] }, { "cell_type": "code", - "execution_count": 9, - "metadata": {}, + "execution_count": 8, + "metadata": { + "collapsed": true + }, "outputs": [], "source": [ "def search(start, goal, actions, result) -> Strategy:\n", " \"Breadth-first search from start state to goal; return strategy to get to goal.\"\n", " explored = set()\n", - " queue = deque([([], start)])\n", + " queue = deque([(Strategy(), start)])\n", " while queue:\n", " (strategy, state) = queue.popleft()\n", " if state == goal:\n", @@ -314,20 +299,22 @@ " for action in actions:\n", " state2 = result(state, action)\n", " if state2 not in explored:\n", - " explored.add(state2)\n", - " queue.append((strategy + [action], state2))" + " queue.append((strategy + [action], state2))\n", + " explored.add(state2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "The `coin_search` function calls the generic `search` function to solve our specific problem:" + "Now, `search` doesn't know anything about belief states—it is designed to work on plain-old physical states of the world. But amazingly, we can still use it to search over belief states: it just works, as long as we properly specify the start state, the goal state, and the means of moving between states.\n", + "\n", + "The `coin_search` function calls `search` to solve our specific problem:" ] }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 9, "metadata": { "collapsed": true }, @@ -335,8 +322,7 @@ "source": [ "def coin_search() -> Strategy: \n", " \"Use `search` to solve the Coin Flip problem.\"\n", - " return search(start=all_coins(), goal={'HHHH'}, \n", - " actions=powerset(range(4)), result=update)" + " return search(start=all_coins(), goal={'HHHH'}, actions=powerset(range(4)), result=update)" ] }, { @@ -348,7 +334,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 10, "metadata": {}, "outputs": [ { @@ -371,7 +357,7 @@ " {0, 1, 2, 3}]" ] }, - "execution_count": 11, + "execution_count": 10, "metadata": {}, "output_type": "execute_result" } @@ -395,13 +381,15 @@ "- A colleague did the puzzle and got the same answer. \n", "- Running the function `random_devil` below is consistent with it working.\n", "\n", - "The function `random_devil` takes an initial coin sequence and a sequence of moves, and plays those moves with a devil that chooses rotations randomly, returning the number of moves it takes until the player wins. Note this is dealing ith concrete, individual states of the world, like `HTHH`, not belief states." + "The function `random_devil` takes an initial coin sequence and a sequence of moves, and plays those moves with a devil that chooses rotations randomly, returning the number of moves it takes until the player wins. Note this is dealing with concrete, individual states of the world, like `HTHH`, not belief states." ] }, { "cell_type": "code", - "execution_count": 12, - "metadata": {}, + "execution_count": 11, + "metadata": { + "collapsed": true + }, "outputs": [], "source": [ "def random_devil(coins, strategy) -> int or None:\n", @@ -424,7 +412,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 12, "metadata": {}, "outputs": [ { @@ -432,23 +420,23 @@ "text/plain": [ "Counter({0: 10000,\n", " 1: 10000,\n", - " 2: 10067,\n", - " 3: 9933,\n", - " 4: 9862,\n", - " 5: 10014,\n", - " 6: 10162,\n", - " 7: 9962,\n", - " 8: 9951,\n", - " 9: 10108,\n", - " 10: 9947,\n", - " 11: 10044,\n", - " 12: 9841,\n", - " 13: 9986,\n", - " 14: 10127,\n", - " 15: 9996})" + " 2: 10105,\n", + " 3: 9895,\n", + " 4: 9817,\n", + " 5: 10166,\n", + " 6: 9928,\n", + " 7: 10089,\n", + " 8: 10028,\n", + " 9: 10082,\n", + " 10: 9991,\n", + " 11: 10105,\n", + " 12: 9976,\n", + " 13: 9970,\n", + " 14: 9948,\n", + " 15: 9900})" ] }, - "execution_count": 13, + "execution_count": 12, "metadata": {}, "output_type": "execute_result" } @@ -465,25 +453,27 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "This says that the player won all 16,000 times. (If the player had ever lost, there would have been an entry for `None` in the Counter.) This suggests the strategy is likely to win, but doesn't prove it will always win, and doesn't say anything about the possibility of a shorter solution.\n", - "The remarkable thing, which I can't explain, is that there are very nearly exactly 1,000 results for each of the move counts from 0 to 15. Can you explain that?\n", + "This says that the player won all 160,000 times. (If the player had ever lost, there would have been an entry for `None` in the Counter.) This suggests the strategy is likely to win, but doesn't prove it will always win, and doesn't say anything about the possibility of a shorter solution.\n", + "The remarkable thing, which I can't explain, is that there are very nearly exactly 10,000 results for each of the move counts from 0 to 15. Can you explain that?\n", "\n", "# Canonical Coin Sequences\n", "\n", - "Consider the four coin sequences `{'HHHT', 'HHTH', 'HTHH', 'THHH'}`. In a sense, these are all the same: they all denote the same sequence of coins with the table rotated to different degrees. Since the devil is free to rotate the table any amount at any time, we could be justified in treating all four of these as equivalent, and collapsing them into one representative member (we could arbitrarily choose the one that comes first in alphabetical order, `'HHHT'`). I will redefine `Belief` as a function that returns a `frozenset`, just like before, but makes it a set of `canonical` coin sequences." + "Consider these coin sequences: `{'HHHT', 'HHTH', 'HTHH', 'THHH'}`. In a sense, these are all the same: they all denote the same sequence of coins with the table rotated to different degrees. Since the devil is free to rotate the table any amount at any time, we could be justified in treating all four of these as equivalent, and collapsing them into one representative member (we could arbitrarily choose the one that comes first in alphabetical order, `'HHHT'`). I will redefine `Belief` as a function that returns a `frozenset`, just like before, but makes it a set of `canonical` coin sequences." ] }, { "cell_type": "code", - "execution_count": 14, - "metadata": {}, + "execution_count": 13, + "metadata": { + "collapsed": true + }, "outputs": [], "source": [ "def canonical(coins): return min(rotations(coins))\n", "\n", "def Belief(coin_collection): \n", " \"A set of all the coin sequences in this collection, canonicalized.\"\n", - " return frozenset(canonical(coins) for coins in coin_collection)" + " return frozenset(map(canonical, coin_collection))" ] }, { @@ -495,7 +485,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 14, "metadata": {}, "outputs": [ { @@ -504,7 +494,7 @@ "frozenset({'HHHH', 'HHHT', 'HHTT', 'HTHT', 'HTTT', 'TTTT'})" ] }, - "execution_count": 15, + "execution_count": 14, "metadata": {}, "output_type": "execute_result" } @@ -517,7 +507,43 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "The starting belief set is down from 16 to 6, namely 4 heads, 3 heads, 2 adjacent heads, 2 opposite heads, 1 head, and no heads, respectively. " + "The starting belief set is down from 16 to 6, namely 4 heads, 3 heads, 2 adjacent heads, 2 opposite heads, 1 head, and no heads, respectively. \n", + "\n", + "Let's make sure we didn't break anything:" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[{0, 1, 2, 3},\n", + " {0, 2},\n", + " {0, 1, 2, 3},\n", + " {0, 1},\n", + " {0, 1, 2, 3},\n", + " {0, 2},\n", + " {0, 1, 2, 3},\n", + " {0},\n", + " {0, 1, 2, 3},\n", + " {0, 2},\n", + " {0, 1, 2, 3},\n", + " {0, 1},\n", + " {0, 1, 2, 3},\n", + " {0, 2},\n", + " {0, 1, 2, 3}]" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "coin_search()" ] }, { @@ -526,27 +552,28 @@ "source": [ "# Solutions for *N* Coins\n", "\n", - "What if there are 3 coins on the table arranged in a triangle? Or 6 coins in a hexagon? To answer that, I'll generalize the three functions that have a \"4\" in them, `all_coins`, `rotations` and `coin_search`. I'll also generalize `flip`, which had `'HHHH'` in it. " + "What if there are 3 coins on the table arranged in a triangle? Or 6 coins in a hexagon? To answer that, I'll generalize all the functions that have a \"4\" in them: `all_coins`, `rotations` and `coin_search`, as well as `flip`, which has `'HHHH'` in it, and introduce `all_moves(N)`:" ] }, { "cell_type": "code", "execution_count": 16, - "metadata": {}, + "metadata": { + "collapsed": true + }, "outputs": [], "source": [ "def all_coins(N=4) -> Belief:\n", " \"Return the belief set consisting of all possible coin sequences.\"\n", " return Belief(map(Coins, product('HT', repeat=N)))\n", "\n", - "def rotations(coins) -> [Coins]: \n", + "def rotations(coins) -> {Coins}: \n", " \"A list of all possible rotations of a coin sequence.\"\n", " return {coins[r:] + coins[:r] for r in range(len(coins))}\n", "\n", "def coin_search(N=4) -> Strategy: \n", " \"Use the generic `search` function to solve the Coin Flip problem.\"\n", - " return search(start=all_coins(N), goal={'H' * N}, \n", - " actions=all_moves(N), result=update)\n", + " return search(start=all_coins(N), goal={'H' * N}, actions=all_moves(N), result=update)\n", "\n", "def flip(coins, move) -> Coins:\n", " \"Flip the coins in the positions specified by the move (but leave all 'H' alone).\"\n", @@ -561,12 +588,33 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "I also need to generalize `all_moves`. To compute the set of possible moves for 4 coins, I used `powerset`, and got 16 possible moves. Now I want to know the set od canonicalized moves for any *N*. To get that, I'll look at the canonicalized set of `all_coins(N)`, and for each one pull out the positions that have an `H` in them, and flip those (the positions with a `T` should be symmetric, so we don't need them as well)." + "Let's test the new definitions and make sure we haven't broken `update` and `coin_search`:" ] }, { "cell_type": "code", "execution_count": 17, + "metadata": {}, + "outputs": [], + "source": [ + "assert all_coins(4) == {'HHHH', 'HHHT', 'HHTT', 'HTHT', 'HTTT', 'TTTT'}\n", + "assert all_coins(5) == {'HHHHH','HHHHT', 'HHHTT','HHTHT','HHTTT', 'HTHTT', 'HTTTT', 'TTTTT'}\n", + "assert rotations('HHHHHT') == {'HHHHHT', 'HHHHTH', 'HHHTHH', 'HHTHHH', 'HTHHHH', 'THHHHH'}\n", + "assert update({'TTTTTTT'}, {3}) == {'HTTTTTT'}\n", + "assert (update(rotations('HHHHHT'), {0}) == update({'HHTHHH'}, {1}) == update({'THHHHH'}, {2})\n", + " == {'HHHHHH', 'HHHHTT', 'HHHTHT', 'HHTHHT'})" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "To compute the set of all possible moves for 4 coins, I used `powerset(range(4))`, and got 16 possible moves. Now I want to know the set of all *canonicalized* moves for any *N*: the moves `{0}` and `{1}` should be considered the same, since they both say \"flip one coin.\" I'll look at the canonicalized set of `all_coins(N)`, and for each one pull out the set of positions that have an `H` in them and flip those positions. (The positions with a `T` should be symmetric, so we don't need them as well.)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, "metadata": { "collapsed": true }, @@ -574,44 +622,10 @@ "source": [ "def all_moves(N) -> [Move]:\n", " \"All rotationally invariant moves for a sequence of N coins.\"\n", - " return [set(i for (i, coin) in enumerate(coins) if coin == 'H')\n", + " return [set(i for i in range(N) if coins[i] == 'H')\n", " for coins in sorted(all_coins(N))]" ] }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Let's test the new definitions:" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "'ok'" - ] - }, - "execution_count": 18, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "assert all_moves(4) == [{0, 1, 2, 3}, {0, 1, 2}, {0, 1}, {0, 2}, {0}, set()]\n", - "assert all_coins(4) == {'HHHH', 'HHHT', 'HHTT', 'HTHT', 'HTTT', 'TTTT'}\n", - "assert all_coins(5) == {'HHHHH','HHHHT', 'HHHTT','HHTHT','HHTTT', 'HTHTT', 'HTTTT', 'TTTTT'}\n", - "assert rotations('HHHHHT') == {'HHHHHT', 'HHHHTH', 'HHHTHH', 'HHTHHH', 'HTHHHH', 'THHHHH'}\n", - "assert update({'TTTTTTT'}, {3}) == {'HTTTTTT'}\n", - "assert (update(rotations('HHHHHT'), {0}) == update({'HHHHHT'}, {1 })== update({'HHHHHT'}, {2})\n", - " == {'HHHHHH', 'HHHHTT', 'HHHTHT', 'HHTHHT'})\n", - "'ok'" - ] - }, { "cell_type": "code", "execution_count": 19, @@ -620,7 +634,7 @@ { "data": { "text/plain": [ - "[{0, 1, 2, 3}, {0, 1, 2}, {0, 1}, {0, 2}, {0}, set()]" + "[{0, 1, 2}, {0, 1}, {0}, set()]" ] }, "execution_count": 19, @@ -629,7 +643,7 @@ } ], "source": [ - "all_moves(4)" + "all_moves(3)" ] }, { @@ -640,7 +654,7 @@ { "data": { "text/plain": [ - "{'HHHHHT', 'HHHHTH', 'HHHTHH', 'HHTHHH', 'HTHHHH', 'THHHHH'}" + "[{0, 1, 2, 3}, {0, 1, 2}, {0, 1}, {0, 2}, {0}, set()]" ] }, "execution_count": 20, @@ -649,7 +663,7 @@ } ], "source": [ - " rotations('HHHHHT')" + "all_moves(4)" ] }, { @@ -657,8 +671,6 @@ "metadata": {}, "source": [ "With 4 coins we can flip 4, flip 3, flip 2 adjacent, flip 2 opposite, flip 1, or flip nothing.\n", - "Similarly, with 4 coins there can be 4 heads 3 heads, 2 adjacent heads, 2 opposite heads, 1 head, or no heads.\n", - "If we start with 6 coins of which one is `'T'`, and do a single flip (and it doesn't matter what position that flip is), then either the Devil flips the `'T'`, in which case we get all heads, or it can flip an `'H'` which is either adjacent to, 2 away from, or 3 away from the existing `'T'`.\n", "\n", "How many distinct canonical coin sequences are there for *N* coins from 1 to 10?" ] @@ -688,7 +700,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "On the one hand this is encouraging; there are only 108 canonical coin sequences of length 10, far less than the 1024 non-canonical squences. On the other hand, it is discouraging; since we are searching over the belief states, that would be 2108 ≌ 1032 belief states, which is infeasible. However, we should be able to easily handle up to N=7, because 220 is only a million.\n", + "On the one hand this is encouraging; there are only 108 canonical coin sequences of length 10, far less than the 1,024 non-canonical squences. On the other hand, it is discouraging; since we are searching over belief states, that would be 2108 ≌ 1032 belief states, which is not feasible. However, we should be able to easily handle up to N=7, because 220 is only a million.\n", "\n", "# Solutions for 1 to 7 Coins" ] @@ -739,7 +751,7 @@ "source": [ "Too bad; there are no solutions for N = 3, 5, 6, or 7. \n", "\n", - "There are solutions for N = 1, 2, 4; they have lengths 1, 3, 15, respectively. That suggests the conjecture: \n", + "There *are* solutions for N = 1, 2, 4; they have lengths 1, 3, 15, respectively. That suggests the conjecture: \n", "\n", "> For every *N* that is a power of 2, there will be a shortest solution of length 2*N* - 1.\n", "\n", @@ -759,8 +771,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 1min 20s, sys: 295 ms, total: 1min 20s\n", - "Wall time: 1min 20s\n" + "CPU times: user 1min 22s, sys: 287 ms, total: 1min 22s\n", + "Wall time: 1min 23s\n" ] } ], @@ -814,7 +826,9 @@ { "cell_type": "code", "execution_count": 25, - "metadata": {}, + "metadata": { + "collapsed": true + }, "outputs": [], "source": [ "def show(moves, N=4):\n", @@ -841,6 +855,26 @@ "cell_type": "code", "execution_count": 26, "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " 0 | | HH HT TT | 0\n", + " 1 | 01 | HH HT | 1\n", + " 2 | 0 | HH TT | 2\n", + " 3 | 01 | HH | 3\n" + ] + } + ], + "source": [ + "show(coin_search(2), 2)" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -875,13 +909,13 @@ "source": [ "We can see that every odd-numbered move flips all four coins to eliminate the possibility of `TTTT`, flipping it to `HHHH`. We can also see that moves 2, 4, and 6 flip two coins and have the effect of eventually eliminating the two \"two heads\" sequences from the belief state, and then move 8 eliminates the \"three heads\" and \"one heads\" sequences, while bringing back the \"two heads\" possibilities. Repeating moves 2, 4, and 6 in moves 10, 12, and 14 then re-eliminates the \"two heads\", and move 15 gets the belief state down to `{'HHHH'}`.\n", "\n", - "You could call `show(solution8)`, but the results look bad unless you have a very wide (340 characters) screen to view it on. So I'll just show `solution8` itself, with move numbers:\n", + "You could call `show(solution8, 8)`, but the results look bad unless you have a very wide (345 characters) screen to view it on. So I'll just show `solution8` itself, with move numbers:\n", "\n" ] }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 28, "metadata": {}, "outputs": [ { @@ -1144,7 +1178,7 @@ " 255: {0, 1, 2, 3, 4, 5, 6, 7}}" ] }, - "execution_count": 31, + "execution_count": 28, "metadata": {}, "output_type": "execute_result" } From b09dcebbf5eb90b8a1ff2059c04e72720e9829c9 Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Wed, 10 Jan 2018 19:18:29 -0800 Subject: [PATCH 08/90] Add files via upload --- Coin Flip.ipynb | 298 +++++++++++++++++++++++++++--------------------- 1 file changed, 169 insertions(+), 129 deletions(-) diff --git a/Coin Flip.ipynb b/Coin Flip.ipynb index c52082e..32e0ea8 100644 --- a/Coin Flip.ipynb +++ b/Coin Flip.ipynb @@ -6,7 +6,7 @@ "source": [ "# The Devil and the Coin Flip Game\n", "\n", - "If the Devil ever challenges me to a [fiddle contest](https://en.wikipedia.org/wiki/The_Devil_Went_Down_to_Georgia), I'm going to lose. I'd have a better chance at this contest:\n", + "If the Devil ever challenges me to a [fiddle contest](https://en.wikipedia.org/wiki/The_Devil_Went_Down_to_Georgia), I'm going down. But I heard about a contest where I'd have a better chance:\n", "\n", "> *You're playing a game with the devil, with your soul at stake. You're sitting at a circular table which has 4 coins, arranged in a diamond, at the 12, 3, 6, and 9 o'clock positions. You are blindfolded, and can never see the coins or the table.*\n", "\n", @@ -18,31 +18,33 @@ "\n", "# Analysis\n", "\n", - "The player, being blindfolded, does not know the true state of the coins. So the player should represent what is known: the *set of possible states* of the coins. We call this a *belief state*. At the start of the game, each of the four coins could be either heads or tails, so that's 24 = 16 possibilities in the belief state:\n", - "\n", - " {HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT, THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT}\n", - "\n", - "The idea is that even though the player doesn't know for sure what the actual state of the coins is, nor what rotations the devil performs, the player can still manipulate the belief state towards the goal belief state:\n", - "\n", - " {HHHH}\n", - "\n", - "A move updates the belief state as follows: for every coin sequence in the current belief state, rotate it in every possible way, and then flip the coins specified by the position(s) in the move. Collect all these results together to form the new belief state. Solving the game means coming up with a list of moves that ends in the belief state `{'HHHH'}`. It must be a shortest possible sequence of moves, so a [breadth-first search](https://en.wikipedia.org/wiki/Breadth-first_search) is appropriate. The search space is small (just 216 possible belief states), so run time will be fast; the only issue is specifying the domain correctly. To increase the chance of getting it right, I won't try to do anything fancy, such as noticing that some coin sequences are rotational variants of other sequences.\n", + "Here are my thoughts:\n", + "- We're looking for a \"shortest sequence of moves\" that reaches a goal. That's a [shortest path search problem](https://en.wikipedia.org/wiki/Shortest_path_problem). I've done that before.\n", + "- Since the Devil gets to make moves too, you might think that this is a [minimax](https://en.wikipedia.org/wiki/Minimax) problem: that we should choose the move that leads to the shortest path, given that the Devil has the option of making moves that lead to the longest path.\n", + "- In fact, the Devil would do well to determine his best move using a minimax search.\n", + "- However, the player can't do that, because minimax only works when you know what moves the opponent is making, and the player is blinfolded; that makes it a [partially observable problem](https://en.wikipedia.org/wiki/Partially_observable_system) (in this case, not observable at all, but we still say \"partially\").\n", + "- In such problems, we don't know for sure the true state of the coins. So we should represent what *is* known: the *set of possible states* of the coins. We call this a *belief state*. At the start of the game, each of the four coins could be either heads or tails, so that's 24 = 16 possibilities in the belief state:\n", + " {HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT, \n", + " THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT}\n", + "- So we have a single-agent shortest path search in the space of belief states (not the space of physical states of the coins). We search for a path from the inital belief state to the goal belief state, `{HHHH}`.\n", + "- A move updates the belief state as follows: for every coin sequence in the current belief state, rotate it in every possible way, and then flip the coins specified by the position(s) in the move. Collect all these results together to form the new belief state. The search space is small (just 216 possible belief states), so run time will be fast; the only issue is specifying the domain correctly. \n", + "- To increase the chance of getting it right, I won't try to do anything fancy, such as noticing that some coin sequences are rotational variants of other sequences (although we'll come back to that later).\n", "\n", "\n", "# Implementation Choices\n", "\n", - "Here are the main concepts, and my implementation choices:\n", + "Here is the vocabulary of the problem, and my implementation choices:\n", "\n", "- `Coins`: A *coin sequence* (on the table) is represented as a `str` of four characters, such as `'HTTT'`. \n", "- `Belief`: A *belief state* is represented as a `frozenset` of `Coins` (frozen so that it can be hashed).\n", "- `Position`: A position is an integer index into the coin sequence; position `0` selects the `H` in `'HTTT'`\n", "and corresponds to the 12 o'clock position; position 1 corresponds to 3 o'clock, and so on.\n", "- `Move`: A *move* is a set of positions to flip, such as `{0, 1}`. \n", - "- `Strategy`: A strategy for playing the game is just a list of moves. Since there is no feedback while playing\n", + "- `Strategy`: A strategy for playing the game is a list of moves. Since there is no feedback while playing\n", "(the player is blindfolded) there is no need for decision points in the strategy.\n", - "- `all_coins()`: A belief state consisting of the set of all possible coin sequences: `{'HHHH', 'HHHT', ...}`.\n", + "- `all_coins()`: returns a belief state consisting of the set of all 16 possible coin sequences: `{'HHHH', 'HHHT', ...}`.\n", "- `rotations(coins)`: returns a set of all 4 rotations of the coin sequence.\n", - "- `update(belief, move)`: an updated belief state: all the coin sequences that could result from any rotation followed by the specified flip(s).\n", + "- `update(belief, move)`: returns an updated belief state: all the coin sequences that could result from any rotation followed by the specified flips.\n", "- `flip(coins, move)`: flips the specified positions within the coin sequence.\n", " (But don't flip `'HHHH'`, because the game would have already ended if this were the coin sequence.)" ] @@ -62,7 +64,7 @@ "Coins = ''.join # A coin sequence; a str: 'HHHT'.\n", "Belief = frozenset # A set of possible coin sequences: {'HHHT', 'TTTH'}\n", "Move = set # A set of positions to flip: {0, 1}\n", - "Strategy = list # A list of Moves: [{0, 1}, {0, 1, 2, 3}, ...]\n", + "Strategy = list # A list of Moves: [{0, 1, 2, 3}, {0, 2}, ...]\n", "\n", "def all_coins() -> Belief:\n", " \"Return the belief set consisting of all possible coin sequences.\"\n", @@ -274,11 +276,8 @@ "# Search for a Solution\n", "\n", "The generic function `search` does a breadth-first search starting\n", - "from a `start` state, looking for a `goal` state, considering possible `actions` (a collection of moves) at each turn,\n", - "and computing the `result` of each action (`result` is a function such that `result(state, action)` returns the new state that results from executing the action in the current state). It works by keeping a queue of unexplored possibilities, where each entry in the queue is a pair consisting of a *strategy* (sequence of moves) and a *state* that that strategy leads to. We also keep a set of `explored` states, so that we don't repeat ourselves.\n", - "\n", - "Amazingly, \n", - "even though we want to search in the space of *belief states*, we can still use the generic search function that is designed for regular-old-states. The search for belief states just works, as long as we properly specify the start state, the goal state, and the means of moving between states." + "from a `start` state, looking for a `goal` state, considering possible `actions` at each turn,\n", + "and computing the `result` of each action (`result` is a function such that `result(state, action)` returns the new state that results from executing the action in the current state). `search` works by keeping a `queue` of unexplored possibilities, where each entry in the queue is a pair consisting of a *strategy* (sequence of moves) and a *state* that that strategy leads to. We also keep track of a set of `explored` states, so that we don't repeat ourselves. I've defined this function (or one just like it) multiple times before, for use in different search problems." ] }, { @@ -292,7 +291,7 @@ "def search(start, goal, actions, result) -> Strategy:\n", " \"Breadth-first search from start state to goal; return strategy to get to goal.\"\n", " explored = set()\n", - " queue = deque([([], start)])\n", + " queue = deque([(Strategy(), start)])\n", " while queue:\n", " (strategy, state) = queue.popleft()\n", " if state == goal:\n", @@ -300,15 +299,17 @@ " for action in actions:\n", " state2 = result(state, action)\n", " if state2 not in explored:\n", - " explored.add(state2)\n", - " queue.append((strategy + [action], state2))" + " queue.append((strategy + [action], state2))\n", + " explored.add(state2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "The `coin_search` function calls the generic `search` function to solve our specific problem:" + "Now, `search` doesn't know anything about belief states—it is designed to work on plain-old physical states of the world. But amazingly, we can still use it to search over belief states: it just works, as long as we properly specify the start state, the goal state, and the means of moving between states.\n", + "\n", + "The `coin_search` function calls `search` to solve our specific problem:" ] }, { @@ -321,8 +322,7 @@ "source": [ "def coin_search() -> Strategy: \n", " \"Use `search` to solve the Coin Flip problem.\"\n", - " return search(start=all_coins(), goal={'HHHH'}, \n", - " actions=powerset(range(4)), result=update)" + " return search(start=all_coins(), goal={'HHHH'}, actions=powerset(range(4)), result=update)" ] }, { @@ -420,20 +420,20 @@ "text/plain": [ "Counter({0: 10000,\n", " 1: 10000,\n", - " 2: 10033,\n", - " 3: 9967,\n", - " 4: 9996,\n", - " 5: 9962,\n", - " 6: 10027,\n", - " 7: 10015,\n", - " 8: 9895,\n", - " 9: 10011,\n", - " 10: 9995,\n", - " 11: 10127,\n", - " 12: 10019,\n", - " 13: 9902,\n", - " 14: 10074,\n", - " 15: 9977})" + " 2: 10105,\n", + " 3: 9895,\n", + " 4: 9817,\n", + " 5: 10166,\n", + " 6: 9928,\n", + " 7: 10089,\n", + " 8: 10028,\n", + " 9: 10082,\n", + " 10: 9991,\n", + " 11: 10105,\n", + " 12: 9976,\n", + " 13: 9970,\n", + " 14: 9948,\n", + " 15: 9900})" ] }, "execution_count": 12, @@ -507,7 +507,43 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "The starting belief set is down from 16 to 6, namely 4 heads, 3 heads, 2 adjacent heads, 2 opposite heads, 1 head, and no heads, respectively. " + "The starting belief set is down from 16 to 6, namely 4 heads, 3 heads, 2 adjacent heads, 2 opposite heads, 1 head, and no heads, respectively. \n", + "\n", + "Let's make sure we didn't break anything:" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[{0, 1, 2, 3},\n", + " {0, 2},\n", + " {0, 1, 2, 3},\n", + " {0, 1},\n", + " {0, 1, 2, 3},\n", + " {0, 2},\n", + " {0, 1, 2, 3},\n", + " {0},\n", + " {0, 1, 2, 3},\n", + " {0, 2},\n", + " {0, 1, 2, 3},\n", + " {0, 1},\n", + " {0, 1, 2, 3},\n", + " {0, 2},\n", + " {0, 1, 2, 3}]" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "coin_search()" ] }, { @@ -516,12 +552,12 @@ "source": [ "# Solutions for *N* Coins\n", "\n", - "What if there are 3 coins on the table arranged in a triangle? Or 6 coins in a hexagon? To answer that, I'll generalize the three functions that have a \"4\" in them, `all_coins`, `rotations` and `coin_search`. I'll also generalize `flip`, which had `'HHHH'` in it. " + "What if there are 3 coins on the table arranged in a triangle? Or 6 coins in a hexagon? To answer that, I'll generalize all the functions that have a \"4\" in them: `all_coins`, `rotations` and `coin_search`, as well as `flip`, which has `'HHHH'` in it, and introduce `all_moves(N)`:" ] }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 16, "metadata": { "collapsed": true }, @@ -537,8 +573,7 @@ "\n", "def coin_search(N=4) -> Strategy: \n", " \"Use the generic `search` function to solve the Coin Flip problem.\"\n", - " return search(start=all_coins(N), goal={'H' * N}, \n", - " actions=all_moves(N), result=update)\n", + " return search(start=all_coins(N), goal={'H' * N}, actions=all_moves(N), result=update)\n", "\n", "def flip(coins, move) -> Coins:\n", " \"Flip the coins in the positions specified by the move (but leave all 'H' alone).\"\n", @@ -553,12 +588,33 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "I also need to generalize `all_moves`. To compute the set of possible moves for 4 coins, I used `powerset`, and got 16 possible moves. Now I want to know the set od canonicalized moves for any *N*. To get that, I'll look at the canonicalized set of `all_coins(N)`, and for each one pull out the positions that have an `H` in them, and flip those (the positions with a `T` should be symmetric, so we don't need them as well)." + "Let's test the new definitions and make sure we haven't broken `update` and `coin_search`:" ] }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 17, + "metadata": {}, + "outputs": [], + "source": [ + "assert all_coins(4) == {'HHHH', 'HHHT', 'HHTT', 'HTHT', 'HTTT', 'TTTT'}\n", + "assert all_coins(5) == {'HHHHH','HHHHT', 'HHHTT','HHTHT','HHTTT', 'HTHTT', 'HTTTT', 'TTTTT'}\n", + "assert rotations('HHHHHT') == {'HHHHHT', 'HHHHTH', 'HHHTHH', 'HHTHHH', 'HTHHHH', 'THHHHH'}\n", + "assert update({'TTTTTTT'}, {3}) == {'HTTTTTT'}\n", + "assert (update(rotations('HHHHHT'), {0}) == update({'HHTHHH'}, {1}) == update({'THHHHH'}, {2})\n", + " == {'HHHHHH', 'HHHHTT', 'HHHTHT', 'HHTHHT'})" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "To compute the set of all possible moves for 4 coins, I used `powerset(range(4))`, and got 16 possible moves. Now I want to know the set of all *canonicalized* moves for any *N*: the moves `{0}` and `{1}` should be considered the same, since they both say \"flip one coin.\" I'll look at the canonicalized set of `all_coins(N)`, and for each one pull out the set of positions that have an `H` in them and flip those positions. (The positions with a `T` should be symmetric, so we don't need them as well.)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, "metadata": { "collapsed": true }, @@ -566,64 +622,10 @@ "source": [ "def all_moves(N) -> [Move]:\n", " \"All rotationally invariant moves for a sequence of N coins.\"\n", - " return [set(i for (i, coin) in enumerate(coins) if coin == 'H')\n", + " return [set(i for i in range(N) if coins[i] == 'H')\n", " for coins in sorted(all_coins(N))]" ] }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Let's test the new definitions:" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "'ok'" - ] - }, - "execution_count": 17, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "assert all_moves(4) == [{0, 1, 2, 3}, {0, 1, 2}, {0, 1}, {0, 2}, {0}, set()]\n", - "assert all_coins(4) == {'HHHH', 'HHHT', 'HHTT', 'HTHT', 'HTTT', 'TTTT'}\n", - "assert all_coins(5) == {'HHHHH','HHHHT', 'HHHTT','HHTHT','HHTTT', 'HTHTT', 'HTTTT', 'TTTTT'}\n", - "assert rotations('HHHHHT') == {'HHHHHT', 'HHHHTH', 'HHHTHH', 'HHTHHH', 'HTHHHH', 'THHHHH'}\n", - "assert update({'TTTTTTT'}, {3}) == {'HTTTTTT'}\n", - "assert (update(rotations('HHHHHT'), {0}) == update({'HHHHHT'}, {1 })== update({'HHHHHT'}, {2})\n", - " == {'HHHHHH', 'HHHHTT', 'HHHTHT', 'HHTHHT'})\n", - "'ok'" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[{0, 1, 2, 3}, {0, 1, 2}, {0, 1}, {0, 2}, {0}, set()]" - ] - }, - "execution_count": 18, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "all_moves(4)" - ] - }, { "cell_type": "code", "execution_count": 19, @@ -632,7 +634,7 @@ { "data": { "text/plain": [ - "{'HHHHHT', 'HHHHTH', 'HHHTHH', 'HHTHHH', 'HTHHHH', 'THHHHH'}" + "[{0, 1, 2}, {0, 1}, {0}, set()]" ] }, "execution_count": 19, @@ -641,18 +643,7 @@ } ], "source": [ - " rotations('HHHHHT')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "With 4 coins we can flip 4, flip 3, flip 2 adjacent, flip 2 opposite, flip 1, or flip nothing.\n", - "Similarly, with 4 coins there can be 4 heads 3 heads, 2 adjacent heads, 2 opposite heads, 1 head, or no heads.\n", - "If we start with 6 coins of which one is `'T'`, and do a single flip (and it doesn't matter what position that flip is), then either the Devil flips the `'T'`, in which case we get all heads, or it can flip an `'H'` which is either adjacent to, 2 away from, or 3 away from the existing `'T'`.\n", - "\n", - "How many distinct canonical coin sequences are there for *N* coins from 1 to 10?" + "all_moves(3)" ] }, { @@ -663,7 +654,7 @@ { "data": { "text/plain": [ - "{1: 2, 2: 3, 3: 4, 4: 6, 5: 8, 6: 14, 7: 20, 8: 36, 9: 60, 10: 108}" + "[{0, 1, 2, 3}, {0, 1, 2}, {0, 1}, {0, 2}, {0}, set()]" ] }, "execution_count": 20, @@ -671,6 +662,35 @@ "output_type": "execute_result" } ], + "source": [ + "all_moves(4)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "With 4 coins we can flip 4, flip 3, flip 2 adjacent, flip 2 opposite, flip 1, or flip nothing.\n", + "\n", + "How many distinct canonical coin sequences are there for *N* coins from 1 to 10?" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{1: 2, 2: 3, 3: 4, 4: 6, 5: 8, 6: 14, 7: 20, 8: 36, 9: 60, 10: 108}" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "{N: len(all_coins(N))\n", " for N in range(1, 11)}" @@ -680,14 +700,14 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "On the one hand this is encouraging; there are only 108 canonical coin sequences of length 10, far less than the 1024 non-canonical squences. On the other hand, it is discouraging; since we are searching over the belief states, that would be 2108 ≌ 1032 belief states, which is infeasible. However, we should be able to easily handle up to N=7, because 220 is only a million.\n", + "On the one hand this is encouraging; there are only 108 canonical coin sequences of length 10, far less than the 1,024 non-canonical squences. On the other hand, it is discouraging; since we are searching over belief states, that would be 2108 ≌ 1032 belief states, which is not feasible. However, we should be able to easily handle up to N=7, because 220 is only a million.\n", "\n", "# Solutions for 1 to 7 Coins" ] }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 22, "metadata": {}, "outputs": [ { @@ -716,7 +736,7 @@ " 7: None}" ] }, - "execution_count": 21, + "execution_count": 22, "metadata": {}, "output_type": "execute_result" } @@ -731,7 +751,7 @@ "source": [ "Too bad; there are no solutions for N = 3, 5, 6, or 7. \n", "\n", - "There are solutions for N = 1, 2, 4; they have lengths 1, 3, 15, respectively. That suggests the conjecture: \n", + "There *are* solutions for N = 1, 2, 4; they have lengths 1, 3, 15, respectively. That suggests the conjecture: \n", "\n", "> For every *N* that is a power of 2, there will be a shortest solution of length 2*N* - 1.\n", "\n", @@ -744,14 +764,14 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 1min 22s, sys: 288 ms, total: 1min 22s\n", + "CPU times: user 1min 22s, sys: 287 ms, total: 1min 22s\n", "Wall time: 1min 23s\n" ] } @@ -762,7 +782,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 24, "metadata": {}, "outputs": [ { @@ -771,7 +791,7 @@ "255" ] }, - "execution_count": 23, + "execution_count": 24, "metadata": {}, "output_type": "execute_result" } @@ -805,7 +825,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 25, "metadata": { "collapsed": true }, @@ -833,7 +853,27 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " 0 | | HH HT TT | 0\n", + " 1 | 01 | HH HT | 1\n", + " 2 | 0 | HH TT | 2\n", + " 3 | 01 | HH | 3\n" + ] + } + ], + "source": [ + "show(coin_search(2), 2)" + ] + }, + { + "cell_type": "code", + "execution_count": 27, "metadata": {}, "outputs": [ { @@ -869,13 +909,13 @@ "source": [ "We can see that every odd-numbered move flips all four coins to eliminate the possibility of `TTTT`, flipping it to `HHHH`. We can also see that moves 2, 4, and 6 flip two coins and have the effect of eventually eliminating the two \"two heads\" sequences from the belief state, and then move 8 eliminates the \"three heads\" and \"one heads\" sequences, while bringing back the \"two heads\" possibilities. Repeating moves 2, 4, and 6 in moves 10, 12, and 14 then re-eliminates the \"two heads\", and move 15 gets the belief state down to `{'HHHH'}`.\n", "\n", - "You could call `show(solution8)`, but the results look bad unless you have a very wide (340 characters) screen to view it on. So I'll just show `solution8` itself, with move numbers:\n", + "You could call `show(solution8, 8)`, but the results look bad unless you have a very wide (345 characters) screen to view it on. So I'll just show `solution8` itself, with move numbers:\n", "\n" ] }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 28, "metadata": {}, "outputs": [ { @@ -1138,7 +1178,7 @@ " 255: {0, 1, 2, 3, 4, 5, 6, 7}}" ] }, - "execution_count": 26, + "execution_count": 28, "metadata": {}, "output_type": "execute_result" } From 079a689bb7c8e6f262da2d3eafe3947876b41c22 Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Thu, 11 Jan 2018 02:47:31 -0800 Subject: [PATCH 09/90] Add files via upload --- ipynb/Coin Flip.ipynb | 1104 ++++++++++++++++++++--------------------- 1 file changed, 539 insertions(+), 565 deletions(-) diff --git a/ipynb/Coin Flip.ipynb b/ipynb/Coin Flip.ipynb index 40f91c8..820a8c7 100644 --- a/ipynb/Coin Flip.ipynb +++ b/ipynb/Coin Flip.ipynb @@ -18,35 +18,35 @@ "\n", "# Analysis\n", "\n", - "Here are my thoughts:\n", "- We're looking for a \"shortest sequence of moves\" that reaches a goal. That's a [shortest path search problem](https://en.wikipedia.org/wiki/Shortest_path_problem). I've done that before.\n", - "- However, we are \"blinfolded\"; that makes it a [partially observable problem](https://en.wikipedia.org/wiki/Partially_observable_system) (in this case, not observable at all, but we still say \"partially\").\n", - "- In such problems, we don't know for sure the true state of the coins. So we should represent what is known: the *set of possible states* of the coins. We call this a *belief state*. At the start of the game, each of the four coins could be either heads or tails, so that's 24 = 16 possibilities in the belief state:\n", + "- Since the Devil gets to make moves too, you might think that this is a [minimax](https://en.wikipedia.org/wiki/Minimax) problem: that we should choose the move that leads to the shortest path, given that the Devil has the option of making moves that lead to the longest path.\n", + "- In fact, the Devil would do well to determine his best move using a minimax search.\n", + "- However, the player can't do that, because minimax only works when you know what moves the opponent is making. Here the player is blinfolded; that makes it a [partially observable problem](https://en.wikipedia.org/wiki/Partially_observable_system) (in this case, not observable at all, but we still say \"partially\").\n", + "- In such problems, we don't know for sure the true state of the world before or after any move. So we should represent what *is* known: *the set of states that we believe to be possible*. We call this a *belief state*. At the start of the game, each of the four coins could be either heads or tails, so that's 24 = 16 possibilities in the belief state:\n", " {HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT, \n", " THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT}\n", - "\n", - "- Since the Devil gets to make moves too, you might think that this is a [minimax](https://en.wikipedia.org/wiki/Minimax) problem: that we should choose the move that leads to the shortest path, given that the Devil has the option of making moves that lead to the longest path (or not; the problem doesn't say for sure). We could in fact model things this way.\n", - "- However, since we are already dealing with belief states, I think it is simpler to model this as a single-agent shortest path search in the space of belief states (not the space of physical states of the coins). We search for a path from the inital belief state to the goal belief state, `{HHHH}`.\n", - "\n", - "- A move updates the belief state as follows: for every coin sequence in the current belief state, rotate it in every possible way, and then flip the coins specified by the position(s) in the move. Collect all these results together to form the new belief state. The search space is small (just 216 possible belief states), so run time will be fast; the only issue is specifying the domain correctly. To increase the chance of getting it right, I won't try to do anything fancy, such as noticing that some coin sequences are rotational variants of other sequences (although we'll come back to that later).\n", + "- So we have a single-agent shortest path search in the space of belief states (not the space of physical states of the coins). We search for a path from the inital belief state to the goal belief state, which is `{HHHH}`.\n", + "- A move updates the belief state as follows: for every four-coin sequence in the current belief state, rotate it in every possible way, and then flip the coins specified by the position(s) in the move. Collect all these results together to form the new belief state. The search space is small (just 216 possible belief states), so run time will be fast; the only issue is specifying the domain correctly. \n", + "- To increase the chance of getting it right, I won't do anything fancy, such as noticing rotational symmetry (although we'll come back to that later).\n", "\n", "\n", - "# Implementation Choices\n", + "# Vocabulary and Implementation Choices\n", "\n", - "Here is the vocabulary of the problem, and my implementation choices:\n", - "\n", - "- `Coins`: A *coin sequence* (on the table) is represented as a `str` of four characters, such as `'HTTT'`. \n", - "- `Belief`: A *belief state* is represented as a `frozenset` of `Coins` (frozen so that it can be hashed).\n", - "- `Position`: A position is an integer index into the coin sequence; position `0` selects the `H` in `'HTTT'`\n", + "- `Coins`: a *coin sequence* (on the table) is represented as a `str` of four characters, such as `'HTTT'`. \n", + "- `Belief`: a *belief state* is represented as a `frozenset` of `Coins` (frozen so that it can be hashed).\n", + "- `Position`: an integer index into the coin sequence; position `0` selects the `H` in `'HTTT'`\n", "and corresponds to the 12 o'clock position; position 1 corresponds to 3 o'clock, and so on.\n", - "- `Move`: A *move* is a set of positions to flip, such as `{0, 1}`. \n", - "- `Strategy`: A strategy for playing the game is a list of moves. Since there is no feedback while playing\n", - "(the player is blindfolded) there is no need for decision points in the strategy.\n", + "- `Move`: a set of positions to flip, such as `{0, 2}`. \n", + "- `Strategy`: an ordered list of moves. Since there is no feedback while playing\n", + "(blindfolded) there are no decision points in the strategy. \n", + "- `winning(strategy)`: a winning strategy is one that takes us from the initial state to the goal, regardless\n", + "of what rotations the Devil chooses.\n", + "- `all_moves()`: returns a list of every possible move a player can make.\n", "- `all_coins()`: returns a belief state consisting of the set of all 16 possible coin sequences: `{'HHHH', 'HHHT', ...}`.\n", "- `rotations(coins)`: returns a set of all 4 rotations of the coin sequence.\n", - "- `update(belief, move)`: returns an updated belief state: all the coin sequences that could result from any rotation followed by the specified flips.\n", "- `flip(coins, move)`: flips the specified positions within the coin sequence.\n", - " (But don't flip `'HHHH'`, because the game would have already ended if this were the coin sequence.)" + " (But don't flip `'HHHH'`, because the game would have already ended if this were the coin sequence.)\n", + "- `update(belief, move)`: returns an updated belief state: all the coin sequences that could result from any rotation followed by the specified flips.\n" ] }, { @@ -57,15 +57,25 @@ }, "outputs": [], "source": [ - "from collections import deque, Counter\n", + "from collections import deque\n", "from itertools import product, combinations\n", "import random\n", "\n", "Coins = ''.join # A coin sequence; a str: 'HHHT'.\n", "Belief = frozenset # A set of possible coin sequences: {'HHHT', 'TTTH'}\n", - "Move = set # A set of positions to flip: {0, 1}\n", + "Move = set # A set of positions to flip: {0, 2}\n", "Strategy = list # A list of Moves: [{0, 1, 2, 3}, {0, 2}, ...]\n", "\n", + "# TODO: winning(strategy)\n", + "\n", + "def all_moves(): return powerset(range(4))\n", + "\n", + "def powerset(sequence): \n", + " \"All subsets of a sequence.\"\n", + " return [set(c) \n", + " for r in range(len(sequence) + 1)\n", + " for c in combinations(sequence, r)]\n", + "\n", "def all_coins() -> Belief:\n", " \"Return the belief set consisting of all possible coin sequences.\"\n", " return Belief(map(Coins, product('HT', repeat=4)))\n", @@ -74,19 +84,19 @@ " \"A list of all possible rotations of a coin sequence.\"\n", " return {coins[r:] + coins[:r] for r in range(4)}\n", "\n", + "def flip(coins, move) -> Coins:\n", + " \"Flip the coins in the positions specified by the move (but leave 'HHHH' alone).\"\n", + " if 'T' in coins: \n", + " coins = list(coins) # Need a mutable sequence\n", + " for i in move:\n", + " coins[i] = ('H' if coins[i] == 'T' else 'T')\n", + " return Coins(coins)\n", + "\n", "def update(belief, move) -> Belief:\n", " \"Update belief: consider all possible rotations, then flip.\"\n", " return Belief(flip(c, move)\n", " for coins in belief\n", - " for c in rotations(coins))\n", - "\n", - "def flip(coins, move) -> Coins:\n", - " \"Flip the coins in the positions specified by the move (but leave 'HHHH' alone).\"\n", - " if coins == 'HHHH': return coins\n", - " coins = list(coins) # Need a mutable sequence\n", - " for i in move:\n", - " coins[i] = ('H' if coins[i] == 'T' else 'T')\n", - " return Coins(coins)" + " for c in rotations(coins))" ] }, { @@ -104,7 +114,22 @@ { "data": { "text/plain": [ - "'THTT'" + "[set(),\n", + " {0},\n", + " {1},\n", + " {2},\n", + " {3},\n", + " {0, 1},\n", + " {0, 2},\n", + " {0, 3},\n", + " {1, 2},\n", + " {1, 3},\n", + " {2, 3},\n", + " {0, 1, 2},\n", + " {0, 1, 3},\n", + " {0, 2, 3},\n", + " {1, 2, 3},\n", + " {0, 1, 2, 3}]" ] }, "execution_count": 2, @@ -113,7 +138,7 @@ } ], "source": [ - "flip('HHHT', {0, 2})" + "all_moves()" ] }, { @@ -124,7 +149,14 @@ { "data": { "text/plain": [ - "{'HHHT', 'HHTH', 'HTHH', 'THHH'}" + "[set(),\n", + " {'a'},\n", + " {'b'},\n", + " {'c'},\n", + " {'a', 'b'},\n", + " {'a', 'c'},\n", + " {'b', 'c'},\n", + " {'a', 'b', 'c'}]" ] }, "execution_count": 3, @@ -133,7 +165,7 @@ } ], "source": [ - "rotations('HHHT')" + "powerset('abc')" ] }, { @@ -172,15 +204,55 @@ ] }, { - "cell_type": "markdown", + "cell_type": "code", + "execution_count": 5, "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{'HHHT', 'HHTH', 'HTHH', 'THHH'}" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ - "We see there are 16 coin sequences in the `all_coins` belief state. Now if we update this belief state by flipping all 4 positions, we should get a new belief state where we have eliminated the possibility of 4 tails, leaving 15 possible coin sequences:" + "rotations('HHHT')" ] }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'THTT'" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "flip('HHHT', {0, 2})" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "There are 16 coin sequences in the `all_coins` belief state. If we update this belief state by flipping all 4 positions, we should get a new belief state where we have eliminated the possibility of 4 tails, leaving 15 possible coin sequences:" + ] + }, + { + "cell_type": "code", + "execution_count": 7, "metadata": {}, "outputs": [ { @@ -203,7 +275,7 @@ " 'TTTH'})" ] }, - "execution_count": 5, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" } @@ -216,64 +288,14 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Everything looks good so far. One more thing: we need to find all subsets of the 4 positions; these are the possible moves:" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "def powerset(sequence): \n", - " \"All subsets of a sequence.\"\n", - " return [set(c) \n", - " for r in range(len(sequence) + 1)\n", - " for c in combinations(sequence, r)]" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[set(),\n", - " {0},\n", - " {1},\n", - " {2},\n", - " {3},\n", - " {0, 1},\n", - " {0, 2},\n", - " {0, 3},\n", - " {1, 2},\n", - " {1, 3},\n", - " {2, 3},\n", - " {0, 1, 2},\n", - " {0, 1, 3},\n", - " {0, 2, 3},\n", - " {1, 2, 3},\n", - " {0, 1, 2, 3}]" - ] - }, - "execution_count": 7, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "powerset(range(4))" + "Everything looks good so far. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "# Search for a Solution\n", + "# Search for a Winning Strategy\n", "\n", "The generic function `search` does a breadth-first search starting\n", "from a `start` state, looking for a `goal` state, considering possible `actions` at each turn,\n", @@ -307,7 +329,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Now, `search` doesn't know anything about belief states—it is designed to work on plain-old physical states of the world. But amazingly, we can still use it to search over belief states: it just works, as long as we properly specify the start state, the goal state, and the means of moving between states.\n", + "Note that `search` doesn't know anything about belief states—it is designed to work on plain-old physical states of the world. But amazingly, we can still use it to search over belief states: it just works, as long as we properly specify the start state, the goal state, and the means of moving between states.\n", "\n", "The `coin_search` function calls `search` to solve our specific problem:" ] @@ -315,26 +337,6 @@ { "cell_type": "code", "execution_count": 9, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "def coin_search() -> Strategy: \n", - " \"Use `search` to solve the Coin Flip problem.\"\n", - " return search(start=all_coins(), goal={'HHHH'}, actions=powerset(range(4)), result=update)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# A Solution" - ] - }, - { - "cell_type": "code", - "execution_count": 10, "metadata": {}, "outputs": [ { @@ -357,12 +359,16 @@ " {0, 1, 2, 3}]" ] }, - "execution_count": 10, + "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ + "def coin_search() -> Strategy: \n", + " \"Use `search` to solve the Coin Flip problem.\"\n", + " return search(start=all_coins(), goal={'HHHH'}, actions=all_moves(), result=update)\n", + "\n", "coin_search()" ] }, @@ -370,91 +376,58 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "That's a 15-move strategy that is guaranteed to lead to a win. Stop here if all you want is the answer to the puzzle. Or you can continue on ...\n", + "That's a 15-move strategy that is guaranteed to lead to a win. **Stop here** if all you want is the answer to the puzzle. Or you can continue on ...\n", "\n", "----\n", "\n", - "# Verifying the Solution\n", + "# Verifying the Winning Strategy\n", "\n", - "I don't have a proof, but I have some evidence that the solution is correct:\n", + "I don't have a proof, but I have some evidence that the strategy inevitably leads to the goal:\n", "- Exploring with paper and pencil, it does appear to work. \n", "- A colleague did the puzzle and got the same answer. \n", - "- Running the function `random_devil` below is consistent with it working.\n", + "- It passes the `winning` test below.\n", "\n", - "The function `random_devil` takes an initial coin sequence and a sequence of moves, and plays those moves with a devil that chooses rotations randomly, returning the number of moves it takes until the player wins. Note this is dealing with concrete, individual states of the world, like `HTHH`, not belief states." + "The function `winning` takes a strategy and plays it against a Devil that chooses rotations at random, repeating play 10,000 times (by default) for each possible starting coin sequence. Note this is dealing with concrete, individual states of the world, like `HTHH`, not belief states." ] }, { "cell_type": "code", - "execution_count": 11, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "def random_devil(coins, strategy) -> int or None:\n", - " \"\"\"A random devil responds to moves starting from coins; \n", - " return the number of moves until win, or None.\"\"\"\n", - " if coins == 'HHHH': return 0\n", - " for (i, move) in enumerate(strategy, 1):\n", - " coins = flip(random.choice(list(rotations(coins))), move)\n", - " if coins == 'HHHH': \n", - " return i\n", - " return None" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "I will let the `random_devil` play 10,000 times from each possible starting coin sequence:" - ] - }, - { - "cell_type": "code", - "execution_count": 12, + "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "Counter({0: 10000,\n", - " 1: 10000,\n", - " 2: 10105,\n", - " 3: 9895,\n", - " 4: 9817,\n", - " 5: 10166,\n", - " 6: 9928,\n", - " 7: 10089,\n", - " 8: 10028,\n", - " 9: 10082,\n", - " 10: 9991,\n", - " 11: 10105,\n", - " 12: 9976,\n", - " 13: 9970,\n", - " 14: 9948,\n", - " 15: 9900})" + "True" ] }, - "execution_count": 12, + "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "strategy = coin_search()\n", + "def winning(strategy, repeat=10000):\n", + " \"Is this a winning strategy? A probabilistic algorithm.\"\n", + " return all(play(coins, strategy) == 'HHHH'\n", + " for coins in all_coins() for _ in range(repeat))\n", "\n", - "Counter(random_devil(coins, strategy) \n", - " for coins in all_coins()\n", - " for _ in range(10000))" + "def play(coins, strategy):\n", + " \"Play strategy against a random Devil; return final state of coins.\"\n", + " for move in strategy:\n", + " if 'T' in coins:\n", + " coins = random.choice(list(rotations(coins)))\n", + " coins = flip(coins, move)\n", + " return coins\n", + "\n", + "winning(strategy=coin_search())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "This says that the player won all 160,000 times. (If the player had ever lost, there would have been an entry for `None` in the Counter.) This suggests the strategy is likely to win, but doesn't prove it will always win, and doesn't say anything about the possibility of a shorter solution.\n", - "The remarkable thing, which I can't explain, is that there are very nearly exactly 10,000 results for each of the move counts from 0 to 15. Can you explain that?\n", + "This says that we played 16 × 10,000 games, and the strategy won every time. It does not say it will always win against other rotation choices, and it does not make any claims about being a shortest strategy.\n", "\n", "# Canonical Coin Sequences\n", "\n", @@ -463,7 +436,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 11, "metadata": { "collapsed": true }, @@ -485,7 +458,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 12, "metadata": {}, "outputs": [ { @@ -494,7 +467,7 @@ "frozenset({'HHHH', 'HHHT', 'HHTT', 'HTHT', 'HTTT', 'TTTT'})" ] }, - "execution_count": 14, + "execution_count": 12, "metadata": {}, "output_type": "execute_result" } @@ -514,7 +487,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 13, "metadata": {}, "outputs": [ { @@ -537,7 +510,7 @@ " {0, 1, 2, 3}]" ] }, - "execution_count": 15, + "execution_count": 13, "metadata": {}, "output_type": "execute_result" } @@ -550,19 +523,26 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Solutions for *N* Coins\n", + "# Winning Strategies for *N* Coins\n", "\n", - "What if there are 3 coins on the table arranged in a triangle? Or 6 coins in a hexagon? To answer that, I'll generalize all the functions that have a \"4\" in them: `all_coins`, `rotations` and `coin_search`, as well as `flip`, which has `'HHHH'` in it, and introduce `all_moves(N)`:" + "What if there are 3 coins on the table arranged in a triangle? Or 6 coins in a hexagon? To answer that, I'll generalize all the functions that have a \"4\" in them: `all_moves, all_coins`, `rotations` and `coin_search`.\n", + "\n", + "To compute `all_moves()` for 4 coins, I previously used `powerset(range(4))`, and got 16 possible moves. Now I want the set of all *canonicalized* moves for any *N*: the moves `{0}` and `{1}` should be considered the same, since they both say \"flip one coin.\" Look at the canonicalized set of `all_coins(N)`, and for each one pull out the set of positions that have an `H` in them and flip those positions. (The positions with a `T` should be symmetric, so we don't need them as well.)" ] }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 14, "metadata": { "collapsed": true }, "outputs": [], "source": [ + "def all_moves(N=4) -> [Move]:\n", + " \"All rotationally invariant moves for a sequence of N coins.\"\n", + " return [set(i for i in range(N) if coins[i] == 'H')\n", + " for coins in sorted(all_coins(N))]\n", + "\n", "def all_coins(N=4) -> Belief:\n", " \"Return the belief set consisting of all possible coin sequences.\"\n", " return Belief(map(Coins, product('HT', repeat=N)))\n", @@ -573,15 +553,7 @@ "\n", "def coin_search(N=4) -> Strategy: \n", " \"Use the generic `search` function to solve the Coin Flip problem.\"\n", - " return search(start=all_coins(N), goal={'H' * N}, actions=all_moves(N), result=update)\n", - "\n", - "def flip(coins, move) -> Coins:\n", - " \"Flip the coins in the positions specified by the move (but leave all 'H' alone).\"\n", - " if 'T' not in coins: return coins\n", - " coins = list(coins) # Need a mutable sequence\n", - " for i in move:\n", - " coins[i] = ('H' if coins[i] == 'T' else 'T')\n", - " return Coins(coins)" + " return search(start=all_coins(N), goal={'H' * N}, actions=all_moves(N), result=update)" ] }, { @@ -593,121 +565,87 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 15, "metadata": {}, "outputs": [], "source": [ + "assert all_moves(3) == [{0, 1, 2}, {0, 1}, {0}, set()]\n", + "assert all_moves(4) == [{0, 1, 2, 3}, {0, 1, 2}, {0, 1}, {0, 2}, {0}, set()]\n", "assert all_coins(4) == {'HHHH', 'HHHT', 'HHTT', 'HTHT', 'HTTT', 'TTTT'}\n", "assert all_coins(5) == {'HHHHH','HHHHT', 'HHHTT','HHTHT','HHTTT', 'HTHTT', 'HTTTT', 'TTTTT'}\n", "assert rotations('HHHHHT') == {'HHHHHT', 'HHHHTH', 'HHHTHH', 'HHTHHH', 'HTHHHH', 'THHHHH'}\n", "assert update({'TTTTTTT'}, {3}) == {'HTTTTTT'}\n", "assert (update(rotations('HHHHHT'), {0}) == update({'HHTHHH'}, {1}) == update({'THHHHH'}, {2})\n", - " == {'HHHHHH', 'HHHHTT', 'HHHTHT', 'HHTHHT'})" + " == {'HHHHHH', 'HHHHTT', 'HHHTHT', 'HHTHHT'})\n", + "assert coin_search(4) == [\n", + " {0, 1, 2, 3},\n", + " {0, 2},\n", + " {0, 1, 2, 3},\n", + " {0, 1},\n", + " {0, 1, 2, 3},\n", + " {0, 2},\n", + " {0, 1, 2, 3},\n", + " {0, 1, 2},\n", + " {0, 1, 2, 3},\n", + " {0, 2},\n", + " {0, 1, 2, 3},\n", + " {0, 1},\n", + " {0, 1, 2, 3},\n", + " {0, 2},\n", + " {0, 1, 2, 3}]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "To compute the set of all possible moves for 4 coins, I used `powerset(range(4))`, and got 16 possible moves. Now I want to know the set of all *canonicalized* moves for any *N*: the moves `{0}` and `{1}` should be considered the same, since they both say \"flip one coin.\" I'll look at the canonicalized set of `all_coins(N)`, and for each one pull out the set of positions that have an `H` in them and flip those positions. (The positions with a `T` should be symmetric, so we don't need them as well.)" + "How many distinct canonical coin sequences are there for up to a dozen coins?" ] }, { "cell_type": "code", - "execution_count": 18, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "def all_moves(N) -> [Move]:\n", - " \"All rotationally invariant moves for a sequence of N coins.\"\n", - " return [set(i for i in range(N) if coins[i] == 'H')\n", - " for coins in sorted(all_coins(N))]" - ] - }, - { - "cell_type": "code", - "execution_count": 19, + "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "[{0, 1, 2}, {0, 1}, {0}, set()]" + "{1: 2,\n", + " 2: 3,\n", + " 3: 4,\n", + " 4: 6,\n", + " 5: 8,\n", + " 6: 14,\n", + " 7: 20,\n", + " 8: 36,\n", + " 9: 60,\n", + " 10: 108,\n", + " 11: 188,\n", + " 12: 352}" ] }, - "execution_count": 19, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "all_moves(3)" - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[{0, 1, 2, 3}, {0, 1, 2}, {0, 1}, {0, 2}, {0}, set()]" - ] - }, - "execution_count": 20, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "all_moves(4)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "With 4 coins we can flip 4, flip 3, flip 2 adjacent, flip 2 opposite, flip 1, or flip nothing.\n", - "\n", - "How many distinct canonical coin sequences are there for *N* coins from 1 to 10?" - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "{1: 2, 2: 3, 3: 4, 4: 6, 5: 8, 6: 14, 7: 20, 8: 36, 9: 60, 10: 108}" - ] - }, - "execution_count": 21, + "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "{N: len(all_coins(N))\n", - " for N in range(1, 11)}" + " for N in range(1, 13)}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "On the one hand this is encouraging; there are only 108 canonical coin sequences of length 10, far less than the 1,024 non-canonical squences. On the other hand, it is discouraging; since we are searching over belief states, that would be 2108 ≌ 1032 belief states, which is not feasible. However, we should be able to easily handle up to N=7, because 220 is only a million.\n", + "On the one hand this is encouraging; there are only 352 canonical coin sequences of length 10, far less than the 4,096 non-canonical squences. On the other hand, it is discouraging; since we are searching over belief states, that would be 2352 belief states, which is nore than a googol. However, we should be able to easily handle up to N=7, because 220 is only a million.\n", "\n", - "# Solutions for 1 to 7 Coins" + "# Winning Strategies for 1 to 7 Coins" ] }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 18, "metadata": {}, "outputs": [ { @@ -736,7 +674,7 @@ " 7: None}" ] }, - "execution_count": 22, + "execution_count": 18, "metadata": {}, "output_type": "execute_result" } @@ -749,40 +687,40 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Too bad; there are no solutions for N = 3, 5, 6, or 7. \n", + "Too bad; there are no winning strategies for N = 3, 5, 6, or 7. \n", "\n", - "There *are* solutions for N = 1, 2, 4; they have lengths 1, 3, 15, respectively. That suggests the conjecture: \n", + "There *are* winning strategies for N = 1, 2, 4; they have lengths 1, 3, 15, respectively. That suggests the conjecture: \n", "\n", - "> For every *N* that is a power of 2, there will be a shortest solution of length 2*N* - 1.\n", + "> For every *N* that is a power of 2, there will be a shortest winning strategy of length 2*N* - 1.\n", "\n", - "> For every *N* that is not a power of 2, there will be no solution. \n", + "> For every *N* that is not a power of 2, there will be no winning strategy. \n", "\n", - "# Solution for 8 Coins\n", + "# Winning Strategy for 8 Coins\n", "\n", - "For N = 8, there are 236 = 69 billion belief states and the desired solution has 255 steps. All the computations up to now have been instantaneous, but this one should take a few minutes. Let's see:" + "For N = 8, there are 236 = 69 billion belief states and if the conjecture is true there will be a shortest winning strategy with 255 steps. All the computations up to now have been instantaneous, but this one should take a few minutes. Let's see:" ] }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 1min 22s, sys: 287 ms, total: 1min 22s\n", + "CPU times: user 1min 22s, sys: 250 ms, total: 1min 22s\n", "Wall time: 1min 23s\n" ] } ], "source": [ - "%time solution8 = coin_search(8)" + "%time strategy = coin_search(8)" ] }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 20, "metadata": {}, "outputs": [ { @@ -791,13 +729,13 @@ "255" ] }, - "execution_count": 24, + "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "len(solution8)" + "len(strategy)" ] }, { @@ -805,27 +743,26 @@ "metadata": {}, "source": [ "Eureka! That's evidence in favor of the conjecture. But not proof. And it leaves many questions unanswered:\n", - "- Can you show there are no solutions for *N* = 9, 10, 11, ...?\n", - "- Can you prove there are no solutions for any *N* that is not a power of 2?\n", - "- Can you find a solution of length 65,535 for *N* = 16 and verify that it works?\n", - "- Can you generate a solution for any power of 2 (without proving it is shortest)?\n", - "- Can you prove there are no shorter solutions for *N* = 16?\n", + "- Can you show there are no winning strategies for *N* = 9, 10, 11, ...?\n", + "- Can you prove there are no winning strategies for any *N* that is not a power of 2?\n", + "- Can you find a winning strategy of length 65,535 for *N* = 16 and verify that it works?\n", + "- Can you generate a winning strategy for any power of 2 (without proving it is shortest)?\n", + "- Can you prove there are no shorter winning strategies for *N* = 16?\n", "- Can you prove the conjecture in general?\n", - "- Can you *understand* and *explain* how the solution works, rather than just listing the moves?" + "- Can you *understand* and *explain* how the strategy works, rather than just listing the moves?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "# Visualizing the Solution\n", - "\n", - "To aid understanding, I'll print a table showing the belief state after each move, using the canonicalized `Belief` form, lined up neatly in columns." + "# Visualizing Strategies\n", + "\n" ] }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 21, "metadata": { "collapsed": true }, @@ -844,26 +781,34 @@ " \"Print the move number, move, and belief state.\"\n", " ordered_belief = [(coins if coins in belief else ' ' * len(coins))\n", " for coins in order]\n", - " movestr = join((i if i in move else ' ') for i in range(N))\n", - " print('{:3} | {:8} | {} | {}'\n", - " .format(i, movestr, join(ordered_belief, ' '), i))\n", + " print('{:3} | {:8} | {}'\n", + " .format(i, movestr(move, N), join(ordered_belief, ' ')))\n", + " \n", + "def movestr(move, N): return join((i if i in move else ' ') for i in range(N))\n", " \n", "def join(items, sep='') -> str: return sep.join(map(str, items))" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The following table shows the move number, the move (e.g. \"01\" to flip positions 0 and 1), and all the canonical coin sequences in the belief state after the move:" + ] + }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - " 0 | | HH HT TT | 0\n", - " 1 | 01 | HH HT | 1\n", - " 2 | 0 | HH TT | 2\n", - " 3 | 01 | HH | 3\n" + " 0 | | HH HT TT\n", + " 1 | 01 | HH HT \n", + " 2 | 0 | HH TT\n", + " 3 | 01 | HH \n" ] } ], @@ -873,29 +818,29 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - " 0 | | HHHH HHHT HHTT HTHT HTTT TTTT | 0\n", - " 1 | 0123 | HHHH HHHT HHTT HTHT HTTT | 1\n", - " 2 | 0 2 | HHHH HHHT HHTT HTTT TTTT | 2\n", - " 3 | 0123 | HHHH HHHT HHTT HTTT | 3\n", - " 4 | 01 | HHHH HHHT HTHT HTTT TTTT | 4\n", - " 5 | 0123 | HHHH HHHT HTHT HTTT | 5\n", - " 6 | 0 2 | HHHH HHHT HTTT TTTT | 6\n", - " 7 | 0123 | HHHH HHHT HTTT | 7\n", - " 8 | 012 | HHHH HHTT HTHT TTTT | 8\n", - " 9 | 0123 | HHHH HHTT HTHT | 9\n", - " 10 | 0 2 | HHHH HHTT TTTT | 10\n", - " 11 | 0123 | HHHH HHTT | 11\n", - " 12 | 01 | HHHH HTHT TTTT | 12\n", - " 13 | 0123 | HHHH HTHT | 13\n", - " 14 | 0 2 | HHHH TTTT | 14\n", - " 15 | 0123 | HHHH | 15\n" + " 0 | | HHHH HHHT HHTT HTHT HTTT TTTT\n", + " 1 | 0123 | HHHH HHHT HHTT HTHT HTTT \n", + " 2 | 0 2 | HHHH HHHT HHTT HTTT TTTT\n", + " 3 | 0123 | HHHH HHHT HHTT HTTT \n", + " 4 | 01 | HHHH HHHT HTHT HTTT TTTT\n", + " 5 | 0123 | HHHH HHHT HTHT HTTT \n", + " 6 | 0 2 | HHHH HHHT HTTT TTTT\n", + " 7 | 0123 | HHHH HHHT HTTT \n", + " 8 | 012 | HHHH HHTT HTHT TTTT\n", + " 9 | 0123 | HHHH HHTT HTHT \n", + " 10 | 0 2 | HHHH HHTT TTTT\n", + " 11 | 0123 | HHHH HHTT \n", + " 12 | 01 | HHHH HTHT TTTT\n", + " 13 | 0123 | HHHH HTHT \n", + " 14 | 0 2 | HHHH TTTT\n", + " 15 | 0123 | HHHH \n" ] } ], @@ -909,282 +854,311 @@ "source": [ "We can see that every odd-numbered move flips all four coins to eliminate the possibility of `TTTT`, flipping it to `HHHH`. We can also see that moves 2, 4, and 6 flip two coins and have the effect of eventually eliminating the two \"two heads\" sequences from the belief state, and then move 8 eliminates the \"three heads\" and \"one heads\" sequences, while bringing back the \"two heads\" possibilities. Repeating moves 2, 4, and 6 in moves 10, 12, and 14 then re-eliminates the \"two heads\", and move 15 gets the belief state down to `{'HHHH'}`.\n", "\n", - "You could call `show(solution8, 8)`, but the results look bad unless you have a very wide (345 characters) screen to view it on. So I'll just show `solution8` itself, with move numbers:\n", - "\n" + "You could call `show(strategy, 8)`, but the results look bad unless you have a very wide (345 characters) screen to view it on. So instead I'll add a `verbose` parameter to `play` and play out some games with a trace of each move:" ] }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 24, "metadata": {}, "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " 1: HHTH rot: HTHH flip: 0123 => THTT\n", + " 2: THTT rot: HTTT flip: 0 2 => TTHT\n", + " 3: TTHT rot: THTT flip: 0123 => HTHH\n", + " 4: HTHH rot: THHH flip: 01 => HTHH\n", + " 5: HTHH rot: HHHT flip: 0123 => TTTH\n", + " 6: TTTH rot: HTTT flip: 0 2 => TTHT\n", + " 7: TTHT rot: THTT flip: 0123 => HTHH\n", + " 8: HTHH rot: HHHT flip: 012 => TTTT\n", + " 9: TTTT rot: TTTT flip: 0123 => HHHH\n" + ] + }, { "data": { "text/plain": [ - "{1: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 2: {0, 2, 4, 6},\n", - " 3: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 4: {0, 1, 4, 5},\n", - " 5: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 6: {0, 2, 4, 6},\n", - " 7: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 8: {0, 1, 2, 4, 5, 6},\n", - " 9: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 10: {0, 2, 4, 6},\n", - " 11: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 12: {0, 1, 4, 5},\n", - " 13: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 14: {0, 2, 4, 6},\n", - " 15: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 16: {0, 1, 2, 3},\n", - " 17: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 18: {0, 2, 4, 6},\n", - " 19: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 20: {0, 1, 4, 5},\n", - " 21: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 22: {0, 2, 4, 6},\n", - " 23: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 24: {0, 1, 2, 4, 5, 6},\n", - " 25: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 26: {0, 2, 4, 6},\n", - " 27: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 28: {0, 1, 4, 5},\n", - " 29: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 30: {0, 2, 4, 6},\n", - " 31: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 32: {0, 1, 2, 3, 4, 6},\n", - " 33: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 34: {0, 2, 4, 6},\n", - " 35: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 36: {0, 1, 4, 5},\n", - " 37: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 38: {0, 2, 4, 6},\n", - " 39: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 40: {0, 1, 2, 4, 5, 6},\n", - " 41: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 42: {0, 2, 4, 6},\n", - " 43: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 44: {0, 1, 4, 5},\n", - " 45: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 46: {0, 2, 4, 6},\n", - " 47: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 48: {0, 1, 2, 3},\n", - " 49: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 50: {0, 2, 4, 6},\n", - " 51: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 52: {0, 1, 4, 5},\n", - " 53: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 54: {0, 2, 4, 6},\n", - " 55: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 56: {0, 1, 2, 4, 5, 6},\n", - " 57: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 58: {0, 2, 4, 6},\n", - " 59: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 60: {0, 1, 4, 5},\n", - " 61: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 62: {0, 2, 4, 6},\n", - " 63: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 64: {0, 1, 2, 3, 4, 5},\n", - " 65: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 66: {0, 2, 4, 6},\n", - " 67: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 68: {0, 1, 4, 5},\n", - " 69: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 70: {0, 2, 4, 6},\n", - " 71: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 72: {0, 1, 2, 4, 5, 6},\n", - " 73: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 74: {0, 2, 4, 6},\n", - " 75: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 76: {0, 1, 4, 5},\n", - " 77: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 78: {0, 2, 4, 6},\n", - " 79: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 80: {0, 1, 2, 3},\n", - " 81: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 82: {0, 2, 4, 6},\n", - " 83: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 84: {0, 1, 4, 5},\n", - " 85: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 86: {0, 2, 4, 6},\n", - " 87: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 88: {0, 1, 2, 4, 5, 6},\n", - " 89: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 90: {0, 2, 4, 6},\n", - " 91: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 92: {0, 1, 4, 5},\n", - " 93: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 94: {0, 2, 4, 6},\n", - " 95: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 96: {0, 1, 2, 3, 4, 6},\n", - " 97: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 98: {0, 2, 4, 6},\n", - " 99: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 100: {0, 1, 4, 5},\n", - " 101: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 102: {0, 2, 4, 6},\n", - " 103: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 104: {0, 1, 2, 4, 5, 6},\n", - " 105: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 106: {0, 2, 4, 6},\n", - " 107: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 108: {0, 1, 4, 5},\n", - " 109: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 110: {0, 2, 4, 6},\n", - " 111: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 112: {0, 1, 2, 3},\n", - " 113: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 114: {0, 2, 4, 6},\n", - " 115: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 116: {0, 1, 4, 5},\n", - " 117: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 118: {0, 2, 4, 6},\n", - " 119: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 120: {0, 1, 2, 4, 5, 6},\n", - " 121: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 122: {0, 2, 4, 6},\n", - " 123: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 124: {0, 1, 4, 5},\n", - " 125: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 126: {0, 2, 4, 6},\n", - " 127: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 128: {0, 1, 2, 3, 4, 5, 6},\n", - " 129: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 130: {0, 2, 4, 6},\n", - " 131: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 132: {0, 1, 4, 5},\n", - " 133: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 134: {0, 2, 4, 6},\n", - " 135: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 136: {0, 1, 2, 4, 5, 6},\n", - " 137: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 138: {0, 2, 4, 6},\n", - " 139: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 140: {0, 1, 4, 5},\n", - " 141: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 142: {0, 2, 4, 6},\n", - " 143: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 144: {0, 1, 2, 3},\n", - " 145: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 146: {0, 2, 4, 6},\n", - " 147: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 148: {0, 1, 4, 5},\n", - " 149: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 150: {0, 2, 4, 6},\n", - " 151: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 152: {0, 1, 2, 4, 5, 6},\n", - " 153: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 154: {0, 2, 4, 6},\n", - " 155: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 156: {0, 1, 4, 5},\n", - " 157: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 158: {0, 2, 4, 6},\n", - " 159: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 160: {0, 1, 2, 3, 4, 6},\n", - " 161: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 162: {0, 2, 4, 6},\n", - " 163: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 164: {0, 1, 4, 5},\n", - " 165: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 166: {0, 2, 4, 6},\n", - " 167: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 168: {0, 1, 2, 4, 5, 6},\n", - " 169: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 170: {0, 2, 4, 6},\n", - " 171: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 172: {0, 1, 4, 5},\n", - " 173: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 174: {0, 2, 4, 6},\n", - " 175: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 176: {0, 1, 2, 3},\n", - " 177: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 178: {0, 2, 4, 6},\n", - " 179: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 180: {0, 1, 4, 5},\n", - " 181: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 182: {0, 2, 4, 6},\n", - " 183: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 184: {0, 1, 2, 4, 5, 6},\n", - " 185: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 186: {0, 2, 4, 6},\n", - " 187: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 188: {0, 1, 4, 5},\n", - " 189: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 190: {0, 2, 4, 6},\n", - " 191: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 192: {0, 1, 2, 3, 4, 5},\n", - " 193: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 194: {0, 2, 4, 6},\n", - " 195: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 196: {0, 1, 4, 5},\n", - " 197: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 198: {0, 2, 4, 6},\n", - " 199: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 200: {0, 1, 2, 4, 5, 6},\n", - " 201: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 202: {0, 2, 4, 6},\n", - " 203: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 204: {0, 1, 4, 5},\n", - " 205: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 206: {0, 2, 4, 6},\n", - " 207: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 208: {0, 1, 2, 3},\n", - " 209: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 210: {0, 2, 4, 6},\n", - " 211: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 212: {0, 1, 4, 5},\n", - " 213: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 214: {0, 2, 4, 6},\n", - " 215: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 216: {0, 1, 2, 4, 5, 6},\n", - " 217: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 218: {0, 2, 4, 6},\n", - " 219: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 220: {0, 1, 4, 5},\n", - " 221: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 222: {0, 2, 4, 6},\n", - " 223: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 224: {0, 1, 2, 3, 4, 6},\n", - " 225: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 226: {0, 2, 4, 6},\n", - " 227: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 228: {0, 1, 4, 5},\n", - " 229: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 230: {0, 2, 4, 6},\n", - " 231: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 232: {0, 1, 2, 4, 5, 6},\n", - " 233: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 234: {0, 2, 4, 6},\n", - " 235: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 236: {0, 1, 4, 5},\n", - " 237: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 238: {0, 2, 4, 6},\n", - " 239: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 240: {0, 1, 2, 3},\n", - " 241: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 242: {0, 2, 4, 6},\n", - " 243: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 244: {0, 1, 4, 5},\n", - " 245: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 246: {0, 2, 4, 6},\n", - " 247: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 248: {0, 1, 2, 4, 5, 6},\n", - " 249: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 250: {0, 2, 4, 6},\n", - " 251: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 252: {0, 1, 4, 5},\n", - " 253: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 254: {0, 2, 4, 6},\n", - " 255: {0, 1, 2, 3, 4, 5, 6, 7}}" + "'HHHH'" ] }, - "execution_count": 28, + "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "dict(zip(range(1, 256), solution8))" + "def play(coins, strategy, verbose=False):\n", + " \"Play strategy against a random Devil; return final state of coins.\"\n", + " N = len(coins)\n", + " for i, move in enumerate(strategy, 1):\n", + " if 'T' in coins: \n", + " coins0 = coins\n", + " coins1 = random.choice(list(rotations(coins)))\n", + " coins = flip(coins1, move)\n", + " if verbose: \n", + " print('{:4d}: {} rot: {} flip: {} => {}'.format(\n", + " i, coins0, coins1, movestr(move, N), coins))\n", + " return coins\n", + "\n", + "play('HHTH', coin_search(4), True)" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " 1: HTTHTTHT rot: TTHTTHTH flip: 01234567 => HHTHHTHT\n", + " 2: HHTHHTHT rot: THTHHTHH flip: 0 2 4 6 => HHHHTTTH\n", + " 3: HHHHTTTH rot: HHHHTTTH flip: 01234567 => TTTTHHHT\n", + " 4: TTTTHHHT rot: HHHTTTTT flip: 01 45 => TTHTHHTT\n", + " 5: TTHTHHTT rot: THHTTTTH flip: 01234567 => HTTHHHHT\n", + " 6: HTTHHHHT rot: THTTHHHH flip: 0 2 4 6 => HHHTTHTH\n", + " 7: HHHTTHTH rot: TTHTHHHH flip: 01234567 => HHTHTTTT\n", + " 8: HHTHTTTT rot: THTTTTHH flip: 012 456 => HTHTHHTH\n", + " 9: HTHTHHTH rot: HHTHHTHT flip: 01234567 => TTHTTHTH\n", + " 10: TTHTTHTH rot: HTTHTHTT flip: 0 2 4 6 => TTHHHHHT\n", + " 11: TTHHHHHT rot: THHHHHTT flip: 01234567 => HTTTTTHH\n", + " 12: HTTTTTHH rot: TTTHHHTT flip: 01 45 => HHTHTTTT\n", + " 13: HHTHTTTT rot: THTTTTHH flip: 01234567 => HTHHHHTT\n", + " 14: HTHHHHTT rot: TTHTHHHH flip: 0 2 4 6 => HTTTTHTH\n", + " 15: HTTTTHTH rot: TTHTHHTT flip: 01234567 => HHTHTTHH\n", + " 16: HHTHTTHH rot: THHHHTHT flip: 0123 => HTTTHTHT\n", + " 17: HTTTHTHT rot: HTHTHTTT flip: 01234567 => THTHTHHH\n", + " 18: THTHTHHH rot: HTHTHTHH flip: 0 2 4 6 => TTTTTTTH\n", + " 19: TTTTTTTH rot: TTTTTTTH flip: 01234567 => HHHHHHHT\n", + " 20: HHHHHHHT rot: THHHHHHH flip: 01 45 => HTHHTTHH\n", + " 21: HTHHTTHH rot: HHTHHTTH flip: 01234567 => TTHTTHHT\n", + " 22: TTHTTHHT rot: THHTTTHT flip: 0 2 4 6 => HHTTHTTT\n", + " 23: HHTTHTTT rot: HTTTHHTT flip: 01234567 => THHHTTHH\n", + " 24: THHHTTHH rot: THHTHHHT flip: 012 456 => HTTTTTTT\n", + " 25: HTTTTTTT rot: TTTTTHTT flip: 01234567 => HHHHHTHH\n", + " 26: HHHHHTHH rot: HHTHHHHH flip: 0 2 4 6 => THHHTHTH\n", + " 27: THHHTHTH rot: HTHTHTHH flip: 01234567 => THTHTHTT\n", + " 28: THTHTHTT rot: TTHTHTHT flip: 01 45 => HHHTTHHT\n", + " 29: HHHTTHHT rot: TTHHTHHH flip: 01234567 => HHTTHTTT\n", + " 30: HHTTHTTT rot: HTTTHHTT flip: 0 2 4 6 => TTHTTHHT\n", + " 31: TTHTTHHT rot: HTTHHTTT flip: 01234567 => THHTTHHH\n", + " 32: THHTTHHH rot: HTTHHHTH flip: 01234 6 => THHTTHHH\n", + " 33: THHTTHHH rot: TTHHHTHH flip: 01234567 => HHTTTHTT\n", + " 34: HHTTTHTT rot: TTHHTTTH flip: 0 2 4 6 => HTTHHTHH\n", + " 35: HTTHHTHH rot: TTHHTHHH flip: 01234567 => HHTTHTTT\n", + " 36: HHTTHTTT rot: HTTHTTTH flip: 01 45 => THTHHHTH\n", + " 37: THTHHHTH rot: HTHTHHHT flip: 01234567 => THTHTTTH\n", + " 38: THTHTTTH rot: HTHTTTHT flip: 0 2 4 6 => TTTTHTTT\n", + " 39: TTTTHTTT rot: THTTTTTT flip: 01234567 => HTHHHHHH\n", + " 40: HTHHHHHH rot: HHHHHHTH flip: 012 456 => TTTHTTHH\n", + " 41: TTTHTTHH rot: TTHTTHHT flip: 01234567 => HHTHHTTH\n", + " 42: HHTHHTTH rot: THHTTHHH flip: 0 2 4 6 => HHTTHHTH\n", + " 43: HHTTHHTH rot: HHHTTHHT flip: 01234567 => TTTHHTTH\n", + " 44: TTTHHTTH rot: HHTTHTTT flip: 01 45 => TTTTTHTT\n", + " 45: TTTTTHTT rot: TTTTTTHT flip: 01234567 => HHHHHHTH\n", + " 46: HHHHHHTH rot: HHHHHHHT flip: 0 2 4 6 => THTHTHTT\n", + " 47: THTHTHTT rot: THTHTTTH flip: 01234567 => HTHTHHHT\n", + " 48: HTHTHHHT rot: HTHHHTHT flip: 0123 => THTTHTHT\n", + " 49: THTTHTHT rot: TTHTHTTH flip: 01234567 => HHTHTHHT\n", + " 50: HHTHTHHT rot: THTHHTHH flip: 0 2 4 6 => HHHHTTTH\n", + " 51: HHHHTTTH rot: HHHHTTTH flip: 01234567 => TTTTHHHT\n", + " 52: TTTTHHHT rot: TTHHHTTT flip: 01 45 => HHHHTHTT\n", + " 53: HHHHTHTT rot: TTHHHHTH flip: 01234567 => HHTTTTHT\n", + " 54: HHTTTTHT rot: THHTTTTH flip: 0 2 4 6 => HHTTHTHH\n", + " 55: HHTTHTHH rot: HHTTHTHH flip: 01234567 => TTHHTHTT\n", + " 56: TTHHTHTT rot: TTTTHHTH flip: 012 456 => HHHTTTHH\n", + " 57: HHHTTTHH rot: HHHHTTTH flip: 01234567 => TTTTHHHT\n", + " 58: TTTTHHHT rot: TTTTTHHH flip: 0 2 4 6 => HTHTHHTH\n", + " 59: HTHTHHTH rot: THHTHHTH flip: 01234567 => HTTHTTHT\n", + " 60: HTTHTTHT rot: THTHTTHT flip: 01 45 => HTTHHHHT\n", + " 61: HTTHHHHT rot: THTTHHHH flip: 01234567 => HTHHTTTT\n", + " 62: HTHHTTTT rot: TTHTHHTT flip: 0 2 4 6 => HTTTTHHT\n", + " 63: HTTTTHHT rot: HHTHTTTT flip: 01234567 => TTHTHHHH\n", + " 64: TTHTHHHH rot: TTHTHHHH flip: 012345 => HHTHTTHH\n", + " 65: HHTHTTHH rot: TTHHHHTH flip: 01234567 => HHTTTTHT\n", + " 66: HHTTTTHT rot: THTHHTTT flip: 0 2 4 6 => HHHHTTHT\n", + " 67: HHHHTTHT rot: THTHHHHT flip: 01234567 => HTHTTTTH\n", + " 68: HTHTTTTH rot: THTTTTHH flip: 01 45 => HTTTHHHH\n", + " 69: HTTTHHHH rot: TTTHHHHH flip: 01234567 => HHHTTTTT\n", + " 70: HHHTTTTT rot: TTTTTHHH flip: 0 2 4 6 => HTHTHHTH\n", + " 71: HTHTHHTH rot: HHTHHTHT flip: 01234567 => TTHTTHTH\n", + " 72: TTHTTHTH rot: TTHTHTTH flip: 012 456 => HHTTTHHH\n", + " 73: HHTTTHHH rot: TTHHHHHT flip: 01234567 => HHTTTTTH\n", + " 74: HHTTTTTH rot: TTTTHHHT flip: 0 2 4 6 => HTHTTHTT\n", + " 75: HTHTTHTT rot: TTHTHTTH flip: 01234567 => HHTHTHHT\n", + " 76: HHTHTHHT rot: HTHHTHTH flip: 01 45 => THHHHTTH\n", + " 77: THHHHTTH rot: THTHHHHT flip: 01234567 => HTHTTTTH\n", + " 78: HTHTTTTH rot: TTTTHHTH flip: 0 2 4 6 => HTHTTHHH\n", + " 79: HTHTTHHH rot: HTTHHHHT flip: 01234567 => THHTTTTH\n", + " 80: THHTTTTH rot: TTTHTHHT flip: 0123 => HHHTTHHT\n", + " 81: HHHTTHHT rot: HTHHHTTH flip: 01234567 => THTTTHHT\n", + " 82: THTTTHHT rot: TTHHTTHT flip: 0 2 4 6 => HTTHHTTT\n", + " 83: HTTHHTTT rot: TTTHTTHH flip: 01234567 => HHHTHHTT\n", + " 84: HHHTHHTT rot: THHTTHHH flip: 01 45 => HTHTHTHH\n", + " 85: HTHTHTHH rot: HTHHHTHT flip: 01234567 => THTTTHTH\n", + " 86: THTTTHTH rot: THTHTHTT flip: 0 2 4 6 => HHHHHHHT\n", + " 87: HHHHHHHT rot: HHHHHHTH flip: 01234567 => TTTTTTHT\n", + " 88: TTTTTTHT rot: THTTTTTT flip: 012 456 => HTHTHHHT\n", + " 89: HTHTHHHT rot: HHTHTHTH flip: 01234567 => TTHTHTHT\n", + " 90: TTHTHTHT rot: TTHTHTHT flip: 0 2 4 6 => HTTTTTTT\n", + " 91: HTTTTTTT rot: TTTTTHTT flip: 01234567 => HHHHHTHH\n", + " 92: HHHHHTHH rot: HHHTHHHH flip: 01 45 => TTHTTTHH\n", + " 93: TTHTTTHH rot: THTTTHHT flip: 01234567 => HTHHHTTH\n", + " 94: HTHHHTTH rot: HTTHHTHH flip: 0 2 4 6 => TTHHTTTH\n", + " 95: TTHHTTTH rot: HHTTTHTT flip: 01234567 => TTHHHTHH\n", + " 96: TTHHHTHH rot: HTHHTTHH flip: 01234 6 => THTTHTTH\n", + " 97: THTTHTTH rot: HTTHTHTT flip: 01234567 => THHTHTHH\n", + " 98: THHTHTHH rot: HHTHTHHT flip: 0 2 4 6 => THHHHHTT\n", + " 99: THHHHHTT rot: HHHHHTTT flip: 01234567 => TTTTTHHH\n", + " 100: TTTTTHHH rot: TTTHHHTT flip: 01 45 => HHTHTTTT\n", + " 101: HHTHTTTT rot: HTHTTTTH flip: 01234567 => THTHHHHT\n", + " 102: THTHHHHT rot: THTHHHHT flip: 0 2 4 6 => HHHHTHTT\n", + " 103: HHHHTHTT rot: HTHTTHHH flip: 01234567 => THTHHTTT\n", + " 104: THTHHTTT rot: TTTTHTHH flip: 012 456 => HHHTTHTH\n", + " 105: HHHTTHTH rot: TTHTHHHH flip: 01234567 => HHTHTTTT\n", + " 106: HHTHTTTT rot: HHTHTTTT flip: 0 2 4 6 => THHHHTHT\n", + " 107: THHHHTHT rot: HHHTHTTH flip: 01234567 => TTTHTHHT\n", + " 108: TTTHTHHT rot: TTTHTHHT flip: 01 45 => HHTHHTHT\n", + " 109: HHTHHTHT rot: HHTHTHHT flip: 01234567 => TTHTHTTH\n", + " 110: TTHTHTTH rot: THTHTTHT flip: 0 2 4 6 => HHHHHTTT\n", + " 111: HHHHHTTT rot: HTTTHHHH flip: 01234567 => THHHTTTT\n", + " 112: THHHTTTT rot: TTTTTHHH flip: 0123 => HHHHTHHH\n", + " 113: HHHHTHHH rot: HTHHHHHH flip: 01234567 => THTTTTTT\n", + " 114: THTTTTTT rot: THTTTTTT flip: 0 2 4 6 => HHHTHTHT\n", + " 115: HHHTHTHT rot: HHTHTHTH flip: 01234567 => TTHTHTHT\n", + " 116: TTHTHTHT rot: HTHTHTTT flip: 01 45 => THHTTHTT\n", + " 117: THHTTHTT rot: THTTTHHT flip: 01234567 => HTHHHTTH\n", + " 118: HTHHHTTH rot: HHTHHHTT flip: 0 2 4 6 => THHHTHHT\n", + " 119: THHHTHHT rot: THHHTHHT flip: 01234567 => HTTTHTTH\n", + " 120: HTTTHTTH rot: THHTTTHT flip: 012 456 => HTTTHHTT\n", + " 121: HTTTHHTT rot: HHTTHTTT flip: 01234567 => TTHHTHHH\n", + " 122: TTHHTHHH rot: HTHHHTTH flip: 0 2 4 6 => TTTHTTHH\n", + " 123: TTTHTTHH rot: THHTTTHT flip: 01234567 => HTTHHHTH\n", + " 124: HTTHHHTH rot: HHTTHHHT flip: 01 45 => TTTTTTHT\n", + " 125: TTTTTTHT rot: TTTTTHTT flip: 01234567 => HHHHHTHH\n", + " 126: HHHHHTHH rot: HHHHHHTH flip: 0 2 4 6 => THTHTHHH\n", + " 127: THTHTHHH rot: THHHTHTH flip: 01234567 => HTTTHTHT\n", + " 128: HTTTHTHT rot: TTHTHTHT flip: 0123456 => HHTHTHTT\n", + " 129: HHTHTHTT rot: HTHTTHHT flip: 01234567 => THTHHTTH\n", + " 130: THTHHTTH rot: THTHTHHT flip: 0 2 4 6 => HHHHHHTT\n", + " 131: HHHHHHTT rot: TTHHHHHH flip: 01234567 => HHTTTTTT\n", + " 132: HHTTTTTT rot: THHTTTTT flip: 01 45 => HTHTHHTT\n", + " 133: HTHTHHTT rot: TTHTHTHH flip: 01234567 => HHTHTHTT\n", + " 134: HHTHTHTT rot: THTTHHTH flip: 0 2 4 6 => HHHTTHHH\n", + " 135: HHHTTHHH rot: THHHHHHT flip: 01234567 => HTTTTTTH\n", + " 136: HTTTTTTH rot: TTTTTHHT flip: 012 456 => HHHTHTTT\n", + " 137: HHHTHTTT rot: HTHTTTHH flip: 01234567 => THTHHHTT\n", + " 138: THTHHHTT rot: TTTHTHHH flip: 0 2 4 6 => HTHHHHTH\n", + " 139: HTHHHHTH rot: HTHHTHHH flip: 01234567 => THTTHTTT\n", + " 140: THTTHTTT rot: TTHTTHTT flip: 01 45 => HHHTHTTT\n", + " 141: HHHTHTTT rot: HHTHTTTH flip: 01234567 => TTHTHHHT\n", + " 142: TTHTHHHT rot: THTHHHTT flip: 0 2 4 6 => HHHHTHHT\n", + " 143: HHHHTHHT rot: HTHHTHHH flip: 01234567 => THTTHTTT\n", + " 144: THTTHTTT rot: HTTHTTTT flip: 0123 => THHTTTTT\n", + " 145: THHTTTTT rot: THHTTTTT flip: 01234567 => HTTHHHHH\n", + " 146: HTTHHHHH rot: HHHTTHHH flip: 0 2 4 6 => THTTHHTH\n", + " 147: THTTHHTH rot: HTHTTHHT flip: 01234567 => THTHHTTH\n", + " 148: THTHHTTH rot: THTHTHHT flip: 01 45 => HTTHHTHT\n", + " 149: HTTHHTHT rot: HHTHTHTT flip: 01234567 => TTHTHTHH\n", + " 150: TTHTHTHH rot: HTTHTHTH flip: 0 2 4 6 => TTHHHHHH\n", + " 151: TTHHHHHH rot: HHHTTHHH flip: 01234567 => TTTHHTTT\n", + " 152: TTTHHTTT rot: TTHHTTTT flip: 012 456 => HHTHHHHT\n", + " 153: HHTHHHHT rot: HTHHHHTH flip: 01234567 => THTTTTHT\n", + " 154: THTTTTHT rot: HTTHTTTT flip: 0 2 4 6 => TTHHHTHT\n", + " 155: TTHHHTHT rot: HHHTHTTT flip: 01234567 => TTTHTHHH\n", + " 156: TTTHTHHH rot: THTHHHTT flip: 01 45 => HTTHTTTT\n", + " 157: HTTHTTTT rot: THTTHTTT flip: 01234567 => HTHHTHHH\n", + " 158: HTHHTHHH rot: THHTHHHH flip: 0 2 4 6 => HHTTTHTH\n", + " 159: HHTTTHTH rot: HHHTTTHT flip: 01234567 => TTTHHHTH\n", + " 160: TTTHHHTH rot: HTHTTTHH flip: 01234 6 => THTHHTTH\n", + " 161: THTHHTTH rot: HTHHTTHT flip: 01234567 => THTTHHTH\n", + " 162: THTTHHTH rot: HTHTTHHT flip: 0 2 4 6 => TTTTHHTT\n", + " 163: TTTTHHTT rot: TTHHTTTT flip: 01234567 => HHTTHHHH\n", + " 164: HHTTHHHH rot: HHHHTTHH flip: 01 45 => TTHHHHHH\n", + " 165: TTHHHHHH rot: HHHHHTTH flip: 01234567 => TTTTTHHT\n", + " 166: TTTTTHHT rot: HTTTTTTH flip: 0 2 4 6 => TTHTHTHH\n", + " 167: TTHTHTHH rot: THHTTHTH flip: 01234567 => HTTHHTHT\n", + " 168: HTTHHTHT rot: TTHHTHTH flip: 012 456 => HHTHHTHH\n", + " 169: HHTHHTHH rot: THHTHHHH flip: 01234567 => HTTHTTTT\n", + " 170: HTTHTTTT rot: TTTHTTHT flip: 0 2 4 6 => HTHHHTTT\n", + " 171: HTHHHTTT rot: TTTHTHHH flip: 01234567 => HHHTHTTT\n", + " 172: HHHTHTTT rot: TTHHHTHT flip: 01 45 => HHHHTHHT\n", + " 173: HHHHTHHT rot: THHTHHHH flip: 01234567 => HTTHTTTT\n", + " 174: HTTHTTTT rot: THTTHTTT flip: 0 2 4 6 => HHHTTTHT\n", + " 175: HHHTTTHT rot: HHHTTTHT flip: 01234567 => TTTHHHTH\n", + " 176: TTTHHHTH rot: HTHTTTHH flip: 0123 => THTHTTHH\n", + " 177: THTHTTHH rot: HTTHHTHT flip: 01234567 => THHTTHTH\n", + " 178: THHTTHTH rot: THHTTHTH flip: 0 2 4 6 => HHTTHHHH\n", + " 179: HHTTHHHH rot: HHTTHHHH flip: 01234567 => TTHHTTTT\n", + " 180: TTHHTTTT rot: HHTTTTTT flip: 01 45 => TTTTHHTT\n", + " 181: TTTTHHTT rot: TTHHTTTT flip: 01234567 => HHTTHHHH\n", + " 182: HHTTHHHH rot: THHHHHHT flip: 0 2 4 6 => HHTHTHTT\n", + " 183: HHTHTHTT rot: HTTHHTHT flip: 01234567 => THHTTHTH\n", + " 184: THHTTHTH rot: HHTTHTHT flip: 012 456 => TTHTTHTT\n", + " 185: TTHTTHTT rot: TTTTHTTH flip: 01234567 => HHHHTHHT\n", + " 186: HHHHTHHT rot: HTHHTHHH flip: 0 2 4 6 => TTTHHHTH\n", + " 187: TTTHHHTH rot: TTTHHHTH flip: 01234567 => HHHTTTHT\n", + " 188: HHHTTTHT rot: THHHTTTH flip: 01 45 => HTHHHHTH\n", + " 189: HTHHHHTH rot: HTHHHHTH flip: 01234567 => THTTTTHT\n", + " 190: THTTTTHT rot: HTTHTTTT flip: 0 2 4 6 => TTHHHTHT\n", + " 191: TTHHHTHT rot: TTTHHHTH flip: 01234567 => HHHTTTHT\n", + " 192: HHHTTTHT rot: THHHTTTH flip: 012345 => HTTTHHTH\n", + " 193: HTTTHHTH rot: THHTTTHH flip: 01234567 => HTTHHHTT\n", + " 194: HTTHHHTT rot: HHTTHTTH flip: 0 2 4 6 => THHTTTHH\n", + " 195: THHTTTHH rot: THHTTTHH flip: 01234567 => HTTHHHTT\n", + " 196: HTTHHHTT rot: THTTHHHT flip: 01 45 => HTTTTTHT\n", + " 197: HTTTTTHT rot: TTTHTHTT flip: 01234567 => HHHTHTHH\n", + " 198: HHHTHTHH rot: THHHHHTH flip: 0 2 4 6 => HHTHTHHH\n", + " 199: HHTHTHHH rot: HHTHTHHH flip: 01234567 => TTHTHTTT\n", + " 200: TTHTHTTT rot: TTTTTHTH flip: 012 456 => HHHTHTHH\n", + " 201: HHHTHTHH rot: HHTHTHHH flip: 01234567 => TTHTHTTT\n", + " 202: TTHTHTTT rot: HTTTTTHT flip: 0 2 4 6 => TTHTHTTT\n", + " 203: TTHTHTTT rot: TTTTHTHT flip: 01234567 => HHHHTHTH\n", + " 204: HHHHTHTH rot: HHHTHTHH flip: 01 45 => TTHTTHHH\n", + " 205: TTHTTHHH rot: TTHTTHHH flip: 01234567 => HHTHHTTT\n", + " 206: HHTHHTTT rot: TTHHTHHT flip: 0 2 4 6 => HTTHHHTT\n", + " 207: HTTHHHTT rot: HHTTHTTH flip: 01234567 => TTHHTHHT\n", + " 208: TTHHTHHT rot: THHTHHTT flip: 0123 => HTTHHHTT\n", + " 209: HTTHHHTT rot: HTTHTTHH flip: 01234567 => THHTHHTT\n", + " 210: THHTHHTT rot: TTTHHTHH flip: 0 2 4 6 => HTHHTTTH\n", + " 211: HTHHTTTH rot: HTTTHHTH flip: 01234567 => THHHTTHT\n", + " 212: THHHTTHT rot: HTTHTTHH flip: 01 45 => THTHHHHH\n", + " 213: THTHHHHH rot: HHTHTHHH flip: 01234567 => TTHTHTTT\n", + " 214: TTHTHTTT rot: THTHTTTT flip: 0 2 4 6 => HHHHHTHT\n", + " 215: HHHHHTHT rot: HHHTHTHH flip: 01234567 => TTTHTHTT\n", + " 216: TTTHTHTT rot: TTTHTHTT flip: 012 456 => HHHHHTHT\n", + " 217: HHHHHTHT rot: HHHHTHTH flip: 01234567 => TTTTHTHT\n", + " 218: TTTTHTHT rot: TTTTHTHT flip: 0 2 4 6 => HTHTTTTT\n", + " 219: HTHTTTTT rot: TTTHTHTT flip: 01234567 => HHHTHTHH\n", + " 220: HHHTHTHH rot: HHTHTHHH flip: 01 45 => TTTHHTHH\n", + " 221: TTTHHTHH rot: TTTHHTHH flip: 01234567 => HHHTTHTT\n", + " 222: HHHTTHTT rot: HTTHTTHH flip: 0 2 4 6 => TTHHHTTH\n", + " 223: TTHHHTTH rot: HTTHTTHH flip: 01234567 => THHTHHTT\n", + " 224: THHTHHTT rot: TTHHTHHT flip: 01234 6 => HHTTHHTT\n", + " 225: HHTTHHTT rot: THHTTHHT flip: 01234567 => HTTHHTTH\n", + " 226: HTTHHTTH rot: HHTTHHTT flip: 0 2 4 6 => THHTTHHT\n", + " 227: THHTTHHT rot: HTTHHTTH flip: 01234567 => THHTTHHT\n", + " 228: THHTTHHT rot: HTTHHTTH flip: 01 45 => THTHTHTH\n", + " 229: THTHTHTH rot: THTHTHTH flip: 01234567 => HTHTHTHT\n", + " 230: HTHTHTHT rot: THTHTHTH flip: 0 2 4 6 => HHHHHHHH\n" + ] + }, + { + "data": { + "text/plain": [ + "'HHHHHHHH'" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "play('HTTHTTHT', strategy, True)" ] } ], From 4acf70a8ef8640a04e46c5bc1e27cbf89ba1a341 Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Fri, 12 Jan 2018 20:08:19 -0800 Subject: [PATCH 10/90] Delete Coin Flip.ipynb --- Coin Flip.ipynb | 1212 ----------------------------------------------- 1 file changed, 1212 deletions(-) delete mode 100644 Coin Flip.ipynb diff --git a/Coin Flip.ipynb b/Coin Flip.ipynb deleted file mode 100644 index 32e0ea8..0000000 --- a/Coin Flip.ipynb +++ /dev/null @@ -1,1212 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# The Devil and the Coin Flip Game\n", - "\n", - "If the Devil ever challenges me to a [fiddle contest](https://en.wikipedia.org/wiki/The_Devil_Went_Down_to_Georgia), I'm going down. But I heard about a contest where I'd have a better chance:\n", - "\n", - "> *You're playing a game with the devil, with your soul at stake. You're sitting at a circular table which has 4 coins, arranged in a diamond, at the 12, 3, 6, and 9 o'clock positions. You are blindfolded, and can never see the coins or the table.*\n", - "\n", - "> *Your goal is to get all 4 coins showing heads, by telling the devil the position(s) of some coins to flip. We call this a \"move\" on your part. The devil must faithfully perform the requested flips, but may first sneakily rotate the table any number of quarter-turns, so that the coins are in different positions. You keep making moves, and the devil keeps rotating and flipping, until all 4 coins show heads.*\n", - "\n", - "> *Example: You tell the devil the 12 o'clock and 6 o'clock positions. The devil could leave the table unrotated (or could rotate it a half-turn), and then flip the two coins that you specified. Or the devil could rotate the table a quarter turn in either direction, and then flip the coins that are now in the 12 o'clock and 6 o'clock positions (which were formerly at 3 o'clock and 9 o'clock). You won't know which of these actions the devil took.*\n", - "\n", - "> *What is a shortest sequence of moves that is *guaranteed* to win, no matter what the initial state of the coins, and no matter what rotations the devil applies?*\n", - "\n", - "# Analysis\n", - "\n", - "Here are my thoughts:\n", - "- We're looking for a \"shortest sequence of moves\" that reaches a goal. That's a [shortest path search problem](https://en.wikipedia.org/wiki/Shortest_path_problem). I've done that before.\n", - "- Since the Devil gets to make moves too, you might think that this is a [minimax](https://en.wikipedia.org/wiki/Minimax) problem: that we should choose the move that leads to the shortest path, given that the Devil has the option of making moves that lead to the longest path.\n", - "- In fact, the Devil would do well to determine his best move using a minimax search.\n", - "- However, the player can't do that, because minimax only works when you know what moves the opponent is making, and the player is blinfolded; that makes it a [partially observable problem](https://en.wikipedia.org/wiki/Partially_observable_system) (in this case, not observable at all, but we still say \"partially\").\n", - "- In such problems, we don't know for sure the true state of the coins. So we should represent what *is* known: the *set of possible states* of the coins. We call this a *belief state*. At the start of the game, each of the four coins could be either heads or tails, so that's 24 = 16 possibilities in the belief state:\n", - " {HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT, \n", - " THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT}\n", - "- So we have a single-agent shortest path search in the space of belief states (not the space of physical states of the coins). We search for a path from the inital belief state to the goal belief state, `{HHHH}`.\n", - "- A move updates the belief state as follows: for every coin sequence in the current belief state, rotate it in every possible way, and then flip the coins specified by the position(s) in the move. Collect all these results together to form the new belief state. The search space is small (just 216 possible belief states), so run time will be fast; the only issue is specifying the domain correctly. \n", - "- To increase the chance of getting it right, I won't try to do anything fancy, such as noticing that some coin sequences are rotational variants of other sequences (although we'll come back to that later).\n", - "\n", - "\n", - "# Implementation Choices\n", - "\n", - "Here is the vocabulary of the problem, and my implementation choices:\n", - "\n", - "- `Coins`: A *coin sequence* (on the table) is represented as a `str` of four characters, such as `'HTTT'`. \n", - "- `Belief`: A *belief state* is represented as a `frozenset` of `Coins` (frozen so that it can be hashed).\n", - "- `Position`: A position is an integer index into the coin sequence; position `0` selects the `H` in `'HTTT'`\n", - "and corresponds to the 12 o'clock position; position 1 corresponds to 3 o'clock, and so on.\n", - "- `Move`: A *move* is a set of positions to flip, such as `{0, 1}`. \n", - "- `Strategy`: A strategy for playing the game is a list of moves. Since there is no feedback while playing\n", - "(the player is blindfolded) there is no need for decision points in the strategy.\n", - "- `all_coins()`: returns a belief state consisting of the set of all 16 possible coin sequences: `{'HHHH', 'HHHT', ...}`.\n", - "- `rotations(coins)`: returns a set of all 4 rotations of the coin sequence.\n", - "- `update(belief, move)`: returns an updated belief state: all the coin sequences that could result from any rotation followed by the specified flips.\n", - "- `flip(coins, move)`: flips the specified positions within the coin sequence.\n", - " (But don't flip `'HHHH'`, because the game would have already ended if this were the coin sequence.)" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "from collections import deque, Counter\n", - "from itertools import product, combinations\n", - "import random\n", - "\n", - "Coins = ''.join # A coin sequence; a str: 'HHHT'.\n", - "Belief = frozenset # A set of possible coin sequences: {'HHHT', 'TTTH'}\n", - "Move = set # A set of positions to flip: {0, 1}\n", - "Strategy = list # A list of Moves: [{0, 1, 2, 3}, {0, 2}, ...]\n", - "\n", - "def all_coins() -> Belief:\n", - " \"Return the belief set consisting of all possible coin sequences.\"\n", - " return Belief(map(Coins, product('HT', repeat=4)))\n", - "\n", - "def rotations(coins) -> {Coins}: \n", - " \"A list of all possible rotations of a coin sequence.\"\n", - " return {coins[r:] + coins[:r] for r in range(4)}\n", - "\n", - "def update(belief, move) -> Belief:\n", - " \"Update belief: consider all possible rotations, then flip.\"\n", - " return Belief(flip(c, move)\n", - " for coins in belief\n", - " for c in rotations(coins))\n", - "\n", - "def flip(coins, move) -> Coins:\n", - " \"Flip the coins in the positions specified by the move (but leave 'HHHH' alone).\"\n", - " if coins == 'HHHH': return coins\n", - " coins = list(coins) # Need a mutable sequence\n", - " for i in move:\n", - " coins[i] = ('H' if coins[i] == 'T' else 'T')\n", - " return Coins(coins)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Let's try out these functions:" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "'THTT'" - ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "flip('HHHT', {0, 2})" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "{'HHHT', 'HHTH', 'HTHH', 'THHH'}" - ] - }, - "execution_count": 3, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "rotations('HHHT')" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "frozenset({'HHHH',\n", - " 'HHHT',\n", - " 'HHTH',\n", - " 'HHTT',\n", - " 'HTHH',\n", - " 'HTHT',\n", - " 'HTTH',\n", - " 'HTTT',\n", - " 'THHH',\n", - " 'THHT',\n", - " 'THTH',\n", - " 'THTT',\n", - " 'TTHH',\n", - " 'TTHT',\n", - " 'TTTH',\n", - " 'TTTT'})" - ] - }, - "execution_count": 4, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "all_coins()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We see there are 16 coin sequences in the `all_coins` belief state. Now if we update this belief state by flipping all 4 positions, we should get a new belief state where we have eliminated the possibility of 4 tails, leaving 15 possible coin sequences:" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "frozenset({'HHHH',\n", - " 'HHHT',\n", - " 'HHTH',\n", - " 'HHTT',\n", - " 'HTHH',\n", - " 'HTHT',\n", - " 'HTTH',\n", - " 'HTTT',\n", - " 'THHH',\n", - " 'THHT',\n", - " 'THTH',\n", - " 'THTT',\n", - " 'TTHH',\n", - " 'TTHT',\n", - " 'TTTH'})" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "update(all_coins(), {0, 1, 2, 3})" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Everything looks good so far. One more thing: we need to find all subsets of the 4 positions; these are the possible moves:" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "def powerset(sequence): \n", - " \"All subsets of a sequence.\"\n", - " return [set(c) \n", - " for r in range(len(sequence) + 1)\n", - " for c in combinations(sequence, r)]" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[set(),\n", - " {0},\n", - " {1},\n", - " {2},\n", - " {3},\n", - " {0, 1},\n", - " {0, 2},\n", - " {0, 3},\n", - " {1, 2},\n", - " {1, 3},\n", - " {2, 3},\n", - " {0, 1, 2},\n", - " {0, 1, 3},\n", - " {0, 2, 3},\n", - " {1, 2, 3},\n", - " {0, 1, 2, 3}]" - ] - }, - "execution_count": 7, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "powerset(range(4))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Search for a Solution\n", - "\n", - "The generic function `search` does a breadth-first search starting\n", - "from a `start` state, looking for a `goal` state, considering possible `actions` at each turn,\n", - "and computing the `result` of each action (`result` is a function such that `result(state, action)` returns the new state that results from executing the action in the current state). `search` works by keeping a `queue` of unexplored possibilities, where each entry in the queue is a pair consisting of a *strategy* (sequence of moves) and a *state* that that strategy leads to. We also keep track of a set of `explored` states, so that we don't repeat ourselves. I've defined this function (or one just like it) multiple times before, for use in different search problems." - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "def search(start, goal, actions, result) -> Strategy:\n", - " \"Breadth-first search from start state to goal; return strategy to get to goal.\"\n", - " explored = set()\n", - " queue = deque([(Strategy(), start)])\n", - " while queue:\n", - " (strategy, state) = queue.popleft()\n", - " if state == goal:\n", - " return strategy\n", - " for action in actions:\n", - " state2 = result(state, action)\n", - " if state2 not in explored:\n", - " queue.append((strategy + [action], state2))\n", - " explored.add(state2)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now, `search` doesn't know anything about belief states—it is designed to work on plain-old physical states of the world. But amazingly, we can still use it to search over belief states: it just works, as long as we properly specify the start state, the goal state, and the means of moving between states.\n", - "\n", - "The `coin_search` function calls `search` to solve our specific problem:" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "def coin_search() -> Strategy: \n", - " \"Use `search` to solve the Coin Flip problem.\"\n", - " return search(start=all_coins(), goal={'HHHH'}, actions=powerset(range(4)), result=update)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# A Solution" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[{0, 1, 2, 3},\n", - " {0, 2},\n", - " {0, 1, 2, 3},\n", - " {0, 1},\n", - " {0, 1, 2, 3},\n", - " {0, 2},\n", - " {0, 1, 2, 3},\n", - " {0},\n", - " {0, 1, 2, 3},\n", - " {0, 2},\n", - " {0, 1, 2, 3},\n", - " {0, 1},\n", - " {0, 1, 2, 3},\n", - " {0, 2},\n", - " {0, 1, 2, 3}]" - ] - }, - "execution_count": 10, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "coin_search()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "That's a 15-move strategy that is guaranteed to lead to a win. Stop here if all you want is the answer to the puzzle. Or you can continue on ...\n", - "\n", - "----\n", - "\n", - "# Verifying the Solution\n", - "\n", - "I don't have a proof, but I have some evidence that the solution is correct:\n", - "- Exploring with paper and pencil, it does appear to work. \n", - "- A colleague did the puzzle and got the same answer. \n", - "- Running the function `random_devil` below is consistent with it working.\n", - "\n", - "The function `random_devil` takes an initial coin sequence and a sequence of moves, and plays those moves with a devil that chooses rotations randomly, returning the number of moves it takes until the player wins. Note this is dealing with concrete, individual states of the world, like `HTHH`, not belief states." - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "def random_devil(coins, strategy) -> int or None:\n", - " \"\"\"A random devil responds to moves starting from coins; \n", - " return the number of moves until win, or None.\"\"\"\n", - " if coins == 'HHHH': return 0\n", - " for (i, move) in enumerate(strategy, 1):\n", - " coins = flip(random.choice(list(rotations(coins))), move)\n", - " if coins == 'HHHH': \n", - " return i\n", - " return None" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "I will let the `random_devil` play 10,000 times from each possible starting coin sequence:" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Counter({0: 10000,\n", - " 1: 10000,\n", - " 2: 10105,\n", - " 3: 9895,\n", - " 4: 9817,\n", - " 5: 10166,\n", - " 6: 9928,\n", - " 7: 10089,\n", - " 8: 10028,\n", - " 9: 10082,\n", - " 10: 9991,\n", - " 11: 10105,\n", - " 12: 9976,\n", - " 13: 9970,\n", - " 14: 9948,\n", - " 15: 9900})" - ] - }, - "execution_count": 12, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "strategy = coin_search()\n", - "\n", - "Counter(random_devil(coins, strategy) \n", - " for coins in all_coins()\n", - " for _ in range(10000))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "This says that the player won all 160,000 times. (If the player had ever lost, there would have been an entry for `None` in the Counter.) This suggests the strategy is likely to win, but doesn't prove it will always win, and doesn't say anything about the possibility of a shorter solution.\n", - "The remarkable thing, which I can't explain, is that there are very nearly exactly 10,000 results for each of the move counts from 0 to 15. Can you explain that?\n", - "\n", - "# Canonical Coin Sequences\n", - "\n", - "Consider these coin sequences: `{'HHHT', 'HHTH', 'HTHH', 'THHH'}`. In a sense, these are all the same: they all denote the same sequence of coins with the table rotated to different degrees. Since the devil is free to rotate the table any amount at any time, we could be justified in treating all four of these as equivalent, and collapsing them into one representative member (we could arbitrarily choose the one that comes first in alphabetical order, `'HHHT'`). I will redefine `Belief` as a function that returns a `frozenset`, just like before, but makes it a set of `canonical` coin sequences." - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "def canonical(coins): return min(rotations(coins))\n", - "\n", - "def Belief(coin_collection): \n", - " \"A set of all the coin sequences in this collection, canonicalized.\"\n", - " return frozenset(map(canonical, coin_collection))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "With `Belief` redefined, the result of calling `all_coins` will be different:" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "frozenset({'HHHH', 'HHHT', 'HHTT', 'HTHT', 'HTTT', 'TTTT'})" - ] - }, - "execution_count": 14, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "all_coins()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The starting belief set is down from 16 to 6, namely 4 heads, 3 heads, 2 adjacent heads, 2 opposite heads, 1 head, and no heads, respectively. \n", - "\n", - "Let's make sure we didn't break anything:" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[{0, 1, 2, 3},\n", - " {0, 2},\n", - " {0, 1, 2, 3},\n", - " {0, 1},\n", - " {0, 1, 2, 3},\n", - " {0, 2},\n", - " {0, 1, 2, 3},\n", - " {0},\n", - " {0, 1, 2, 3},\n", - " {0, 2},\n", - " {0, 1, 2, 3},\n", - " {0, 1},\n", - " {0, 1, 2, 3},\n", - " {0, 2},\n", - " {0, 1, 2, 3}]" - ] - }, - "execution_count": 15, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "coin_search()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Solutions for *N* Coins\n", - "\n", - "What if there are 3 coins on the table arranged in a triangle? Or 6 coins in a hexagon? To answer that, I'll generalize all the functions that have a \"4\" in them: `all_coins`, `rotations` and `coin_search`, as well as `flip`, which has `'HHHH'` in it, and introduce `all_moves(N)`:" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "def all_coins(N=4) -> Belief:\n", - " \"Return the belief set consisting of all possible coin sequences.\"\n", - " return Belief(map(Coins, product('HT', repeat=N)))\n", - "\n", - "def rotations(coins) -> {Coins}: \n", - " \"A list of all possible rotations of a coin sequence.\"\n", - " return {coins[r:] + coins[:r] for r in range(len(coins))}\n", - "\n", - "def coin_search(N=4) -> Strategy: \n", - " \"Use the generic `search` function to solve the Coin Flip problem.\"\n", - " return search(start=all_coins(N), goal={'H' * N}, actions=all_moves(N), result=update)\n", - "\n", - "def flip(coins, move) -> Coins:\n", - " \"Flip the coins in the positions specified by the move (but leave all 'H' alone).\"\n", - " if 'T' not in coins: return coins\n", - " coins = list(coins) # Need a mutable sequence\n", - " for i in move:\n", - " coins[i] = ('H' if coins[i] == 'T' else 'T')\n", - " return Coins(coins)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Let's test the new definitions and make sure we haven't broken `update` and `coin_search`:" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": {}, - "outputs": [], - "source": [ - "assert all_coins(4) == {'HHHH', 'HHHT', 'HHTT', 'HTHT', 'HTTT', 'TTTT'}\n", - "assert all_coins(5) == {'HHHHH','HHHHT', 'HHHTT','HHTHT','HHTTT', 'HTHTT', 'HTTTT', 'TTTTT'}\n", - "assert rotations('HHHHHT') == {'HHHHHT', 'HHHHTH', 'HHHTHH', 'HHTHHH', 'HTHHHH', 'THHHHH'}\n", - "assert update({'TTTTTTT'}, {3}) == {'HTTTTTT'}\n", - "assert (update(rotations('HHHHHT'), {0}) == update({'HHTHHH'}, {1}) == update({'THHHHH'}, {2})\n", - " == {'HHHHHH', 'HHHHTT', 'HHHTHT', 'HHTHHT'})" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "To compute the set of all possible moves for 4 coins, I used `powerset(range(4))`, and got 16 possible moves. Now I want to know the set of all *canonicalized* moves for any *N*: the moves `{0}` and `{1}` should be considered the same, since they both say \"flip one coin.\" I'll look at the canonicalized set of `all_coins(N)`, and for each one pull out the set of positions that have an `H` in them and flip those positions. (The positions with a `T` should be symmetric, so we don't need them as well.)" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "def all_moves(N) -> [Move]:\n", - " \"All rotationally invariant moves for a sequence of N coins.\"\n", - " return [set(i for i in range(N) if coins[i] == 'H')\n", - " for coins in sorted(all_coins(N))]" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[{0, 1, 2}, {0, 1}, {0}, set()]" - ] - }, - "execution_count": 19, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "all_moves(3)" - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[{0, 1, 2, 3}, {0, 1, 2}, {0, 1}, {0, 2}, {0}, set()]" - ] - }, - "execution_count": 20, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "all_moves(4)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "With 4 coins we can flip 4, flip 3, flip 2 adjacent, flip 2 opposite, flip 1, or flip nothing.\n", - "\n", - "How many distinct canonical coin sequences are there for *N* coins from 1 to 10?" - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "{1: 2, 2: 3, 3: 4, 4: 6, 5: 8, 6: 14, 7: 20, 8: 36, 9: 60, 10: 108}" - ] - }, - "execution_count": 21, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "{N: len(all_coins(N))\n", - " for N in range(1, 11)}" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "On the one hand this is encouraging; there are only 108 canonical coin sequences of length 10, far less than the 1,024 non-canonical squences. On the other hand, it is discouraging; since we are searching over belief states, that would be 2108 ≌ 1032 belief states, which is not feasible. However, we should be able to easily handle up to N=7, because 220 is only a million.\n", - "\n", - "# Solutions for 1 to 7 Coins" - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "{1: [{0}],\n", - " 2: [{0, 1}, {0}, {0, 1}],\n", - " 3: None,\n", - " 4: [{0, 1, 2, 3},\n", - " {0, 2},\n", - " {0, 1, 2, 3},\n", - " {0, 1},\n", - " {0, 1, 2, 3},\n", - " {0, 2},\n", - " {0, 1, 2, 3},\n", - " {0, 1, 2},\n", - " {0, 1, 2, 3},\n", - " {0, 2},\n", - " {0, 1, 2, 3},\n", - " {0, 1},\n", - " {0, 1, 2, 3},\n", - " {0, 2},\n", - " {0, 1, 2, 3}],\n", - " 5: None,\n", - " 6: None,\n", - " 7: None}" - ] - }, - "execution_count": 22, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "{N: coin_search(N) for N in range(1, 8)}" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Too bad; there are no solutions for N = 3, 5, 6, or 7. \n", - "\n", - "There *are* solutions for N = 1, 2, 4; they have lengths 1, 3, 15, respectively. That suggests the conjecture: \n", - "\n", - "> For every *N* that is a power of 2, there will be a shortest solution of length 2*N* - 1.\n", - "\n", - "> For every *N* that is not a power of 2, there will be no solution. \n", - "\n", - "# Solution for 8 Coins\n", - "\n", - "For N = 8, there are 236 = 69 billion belief states and the desired solution has 255 steps. All the computations up to now have been instantaneous, but this one should take a few minutes. Let's see:" - ] - }, - { - "cell_type": "code", - "execution_count": 23, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "CPU times: user 1min 22s, sys: 287 ms, total: 1min 22s\n", - "Wall time: 1min 23s\n" - ] - } - ], - "source": [ - "%time solution8 = coin_search(8)" - ] - }, - { - "cell_type": "code", - "execution_count": 24, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "255" - ] - }, - "execution_count": 24, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "len(solution8)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Eureka! That's evidence in favor of the conjecture. But not proof. And it leaves many questions unanswered:\n", - "- Can you show there are no solutions for *N* = 9, 10, 11, ...?\n", - "- Can you prove there are no solutions for any *N* that is not a power of 2?\n", - "- Can you find a solution of length 65,535 for *N* = 16 and verify that it works?\n", - "- Can you generate a solution for any power of 2 (without proving it is shortest)?\n", - "- Can you prove there are no shorter solutions for *N* = 16?\n", - "- Can you prove the conjecture in general?\n", - "- Can you *understand* and *explain* how the solution works, rather than just listing the moves?" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Visualizing the Solution\n", - "\n", - "To aid understanding, I'll print a table showing the belief state after each move, using the canonicalized `Belief` form, lined up neatly in columns." - ] - }, - { - "cell_type": "code", - "execution_count": 25, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "def show(moves, N=4):\n", - " \"For each move, print the move number, move, and belief state.\"\n", - " belief = all_coins(N)\n", - " order = sorted(belief)\n", - " show_line(0, {}, belief, order, N)\n", - " for (i, move) in enumerate(moves, 1):\n", - " belief = update(belief, move)\n", - " show_line(i, move, belief, order, N)\n", - "\n", - "def show_line(i, move, belief, order, N):\n", - " \"Print the move number, move, and belief state.\"\n", - " ordered_belief = [(coins if coins in belief else ' ' * len(coins))\n", - " for coins in order]\n", - " movestr = join((i if i in move else ' ') for i in range(N))\n", - " print('{:3} | {:8} | {} | {}'\n", - " .format(i, movestr, join(ordered_belief, ' '), i))\n", - " \n", - "def join(items, sep='') -> str: return sep.join(map(str, items))" - ] - }, - { - "cell_type": "code", - "execution_count": 26, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - " 0 | | HH HT TT | 0\n", - " 1 | 01 | HH HT | 1\n", - " 2 | 0 | HH TT | 2\n", - " 3 | 01 | HH | 3\n" - ] - } - ], - "source": [ - "show(coin_search(2), 2)" - ] - }, - { - "cell_type": "code", - "execution_count": 27, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - " 0 | | HHHH HHHT HHTT HTHT HTTT TTTT | 0\n", - " 1 | 0123 | HHHH HHHT HHTT HTHT HTTT | 1\n", - " 2 | 0 2 | HHHH HHHT HHTT HTTT TTTT | 2\n", - " 3 | 0123 | HHHH HHHT HHTT HTTT | 3\n", - " 4 | 01 | HHHH HHHT HTHT HTTT TTTT | 4\n", - " 5 | 0123 | HHHH HHHT HTHT HTTT | 5\n", - " 6 | 0 2 | HHHH HHHT HTTT TTTT | 6\n", - " 7 | 0123 | HHHH HHHT HTTT | 7\n", - " 8 | 012 | HHHH HHTT HTHT TTTT | 8\n", - " 9 | 0123 | HHHH HHTT HTHT | 9\n", - " 10 | 0 2 | HHHH HHTT TTTT | 10\n", - " 11 | 0123 | HHHH HHTT | 11\n", - " 12 | 01 | HHHH HTHT TTTT | 12\n", - " 13 | 0123 | HHHH HTHT | 13\n", - " 14 | 0 2 | HHHH TTTT | 14\n", - " 15 | 0123 | HHHH | 15\n" - ] - } - ], - "source": [ - "show(coin_search(4))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We can see that every odd-numbered move flips all four coins to eliminate the possibility of `TTTT`, flipping it to `HHHH`. We can also see that moves 2, 4, and 6 flip two coins and have the effect of eventually eliminating the two \"two heads\" sequences from the belief state, and then move 8 eliminates the \"three heads\" and \"one heads\" sequences, while bringing back the \"two heads\" possibilities. Repeating moves 2, 4, and 6 in moves 10, 12, and 14 then re-eliminates the \"two heads\", and move 15 gets the belief state down to `{'HHHH'}`.\n", - "\n", - "You could call `show(solution8, 8)`, but the results look bad unless you have a very wide (345 characters) screen to view it on. So I'll just show `solution8` itself, with move numbers:\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 28, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "{1: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 2: {0, 2, 4, 6},\n", - " 3: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 4: {0, 1, 4, 5},\n", - " 5: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 6: {0, 2, 4, 6},\n", - " 7: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 8: {0, 1, 2, 4, 5, 6},\n", - " 9: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 10: {0, 2, 4, 6},\n", - " 11: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 12: {0, 1, 4, 5},\n", - " 13: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 14: {0, 2, 4, 6},\n", - " 15: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 16: {0, 1, 2, 3},\n", - " 17: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 18: {0, 2, 4, 6},\n", - " 19: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 20: {0, 1, 4, 5},\n", - " 21: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 22: {0, 2, 4, 6},\n", - " 23: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 24: {0, 1, 2, 4, 5, 6},\n", - " 25: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 26: {0, 2, 4, 6},\n", - " 27: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 28: {0, 1, 4, 5},\n", - " 29: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 30: {0, 2, 4, 6},\n", - " 31: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 32: {0, 1, 2, 3, 4, 6},\n", - " 33: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 34: {0, 2, 4, 6},\n", - " 35: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 36: {0, 1, 4, 5},\n", - " 37: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 38: {0, 2, 4, 6},\n", - " 39: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 40: {0, 1, 2, 4, 5, 6},\n", - " 41: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 42: {0, 2, 4, 6},\n", - " 43: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 44: {0, 1, 4, 5},\n", - " 45: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 46: {0, 2, 4, 6},\n", - " 47: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 48: {0, 1, 2, 3},\n", - " 49: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 50: {0, 2, 4, 6},\n", - " 51: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 52: {0, 1, 4, 5},\n", - " 53: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 54: {0, 2, 4, 6},\n", - " 55: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 56: {0, 1, 2, 4, 5, 6},\n", - " 57: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 58: {0, 2, 4, 6},\n", - " 59: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 60: {0, 1, 4, 5},\n", - " 61: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 62: {0, 2, 4, 6},\n", - " 63: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 64: {0, 1, 2, 3, 4, 5},\n", - " 65: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 66: {0, 2, 4, 6},\n", - " 67: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 68: {0, 1, 4, 5},\n", - " 69: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 70: {0, 2, 4, 6},\n", - " 71: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 72: {0, 1, 2, 4, 5, 6},\n", - " 73: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 74: {0, 2, 4, 6},\n", - " 75: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 76: {0, 1, 4, 5},\n", - " 77: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 78: {0, 2, 4, 6},\n", - " 79: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 80: {0, 1, 2, 3},\n", - " 81: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 82: {0, 2, 4, 6},\n", - " 83: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 84: {0, 1, 4, 5},\n", - " 85: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 86: {0, 2, 4, 6},\n", - " 87: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 88: {0, 1, 2, 4, 5, 6},\n", - " 89: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 90: {0, 2, 4, 6},\n", - " 91: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 92: {0, 1, 4, 5},\n", - " 93: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 94: {0, 2, 4, 6},\n", - " 95: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 96: {0, 1, 2, 3, 4, 6},\n", - " 97: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 98: {0, 2, 4, 6},\n", - " 99: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 100: {0, 1, 4, 5},\n", - " 101: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 102: {0, 2, 4, 6},\n", - " 103: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 104: {0, 1, 2, 4, 5, 6},\n", - " 105: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 106: {0, 2, 4, 6},\n", - " 107: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 108: {0, 1, 4, 5},\n", - " 109: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 110: {0, 2, 4, 6},\n", - " 111: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 112: {0, 1, 2, 3},\n", - " 113: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 114: {0, 2, 4, 6},\n", - " 115: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 116: {0, 1, 4, 5},\n", - " 117: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 118: {0, 2, 4, 6},\n", - " 119: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 120: {0, 1, 2, 4, 5, 6},\n", - " 121: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 122: {0, 2, 4, 6},\n", - " 123: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 124: {0, 1, 4, 5},\n", - " 125: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 126: {0, 2, 4, 6},\n", - " 127: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 128: {0, 1, 2, 3, 4, 5, 6},\n", - " 129: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 130: {0, 2, 4, 6},\n", - " 131: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 132: {0, 1, 4, 5},\n", - " 133: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 134: {0, 2, 4, 6},\n", - " 135: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 136: {0, 1, 2, 4, 5, 6},\n", - " 137: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 138: {0, 2, 4, 6},\n", - " 139: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 140: {0, 1, 4, 5},\n", - " 141: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 142: {0, 2, 4, 6},\n", - " 143: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 144: {0, 1, 2, 3},\n", - " 145: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 146: {0, 2, 4, 6},\n", - " 147: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 148: {0, 1, 4, 5},\n", - " 149: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 150: {0, 2, 4, 6},\n", - " 151: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 152: {0, 1, 2, 4, 5, 6},\n", - " 153: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 154: {0, 2, 4, 6},\n", - " 155: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 156: {0, 1, 4, 5},\n", - " 157: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 158: {0, 2, 4, 6},\n", - " 159: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 160: {0, 1, 2, 3, 4, 6},\n", - " 161: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 162: {0, 2, 4, 6},\n", - " 163: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 164: {0, 1, 4, 5},\n", - " 165: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 166: {0, 2, 4, 6},\n", - " 167: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 168: {0, 1, 2, 4, 5, 6},\n", - " 169: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 170: {0, 2, 4, 6},\n", - " 171: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 172: {0, 1, 4, 5},\n", - " 173: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 174: {0, 2, 4, 6},\n", - " 175: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 176: {0, 1, 2, 3},\n", - " 177: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 178: {0, 2, 4, 6},\n", - " 179: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 180: {0, 1, 4, 5},\n", - " 181: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 182: {0, 2, 4, 6},\n", - " 183: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 184: {0, 1, 2, 4, 5, 6},\n", - " 185: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 186: {0, 2, 4, 6},\n", - " 187: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 188: {0, 1, 4, 5},\n", - " 189: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 190: {0, 2, 4, 6},\n", - " 191: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 192: {0, 1, 2, 3, 4, 5},\n", - " 193: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 194: {0, 2, 4, 6},\n", - " 195: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 196: {0, 1, 4, 5},\n", - " 197: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 198: {0, 2, 4, 6},\n", - " 199: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 200: {0, 1, 2, 4, 5, 6},\n", - " 201: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 202: {0, 2, 4, 6},\n", - " 203: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 204: {0, 1, 4, 5},\n", - " 205: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 206: {0, 2, 4, 6},\n", - " 207: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 208: {0, 1, 2, 3},\n", - " 209: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 210: {0, 2, 4, 6},\n", - " 211: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 212: {0, 1, 4, 5},\n", - " 213: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 214: {0, 2, 4, 6},\n", - " 215: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 216: {0, 1, 2, 4, 5, 6},\n", - " 217: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 218: {0, 2, 4, 6},\n", - " 219: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 220: {0, 1, 4, 5},\n", - " 221: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 222: {0, 2, 4, 6},\n", - " 223: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 224: {0, 1, 2, 3, 4, 6},\n", - " 225: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 226: {0, 2, 4, 6},\n", - " 227: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 228: {0, 1, 4, 5},\n", - " 229: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 230: {0, 2, 4, 6},\n", - " 231: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 232: {0, 1, 2, 4, 5, 6},\n", - " 233: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 234: {0, 2, 4, 6},\n", - " 235: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 236: {0, 1, 4, 5},\n", - " 237: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 238: {0, 2, 4, 6},\n", - " 239: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 240: {0, 1, 2, 3},\n", - " 241: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 242: {0, 2, 4, 6},\n", - " 243: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 244: {0, 1, 4, 5},\n", - " 245: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 246: {0, 2, 4, 6},\n", - " 247: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 248: {0, 1, 2, 4, 5, 6},\n", - " 249: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 250: {0, 2, 4, 6},\n", - " 251: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 252: {0, 1, 4, 5},\n", - " 253: {0, 1, 2, 3, 4, 5, 6, 7},\n", - " 254: {0, 2, 4, 6},\n", - " 255: {0, 1, 2, 3, 4, 5, 6, 7}}" - ] - }, - "execution_count": 28, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "dict(zip(range(1, 256), solution8))" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.5.3" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} From c11f19c6409c07fb3f6bdb76bb11a6eb6ab7c159 Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Fri, 12 Jan 2018 20:08:51 -0800 Subject: [PATCH 11/90] Add files via upload --- ipynb/Coin Flip.ipynb | 827 ++++++++++++++++++++++-------------------- 1 file changed, 438 insertions(+), 389 deletions(-) diff --git a/ipynb/Coin Flip.ipynb b/ipynb/Coin Flip.ipynb index 820a8c7..000af0e 100644 --- a/ipynb/Coin Flip.ipynb +++ b/ipynb/Coin Flip.ipynb @@ -6,97 +6,114 @@ "source": [ "# The Devil and the Coin Flip Game\n", "\n", - "If the Devil ever challenges me to a [fiddle contest](https://en.wikipedia.org/wiki/The_Devil_Went_Down_to_Georgia), I'm going down. But I heard about a contest where I'd have a better chance:\n", + "If the Devil ever challenges me to a [fiddle contest](https://en.wikipedia.org/wiki/The_Devil_Went_Down_to_Georgia), I'm going down. But here is a contest where I'd have a better chance:\n", "\n", - "> *You're playing a game with the devil, with your soul at stake. You're sitting at a circular table which has 4 coins, arranged in a diamond, at the 12, 3, 6, and 9 o'clock positions. You are blindfolded, and can never see the coins or the table.*\n", + "> *You're playing a game with the Devil, with your soul at stake. You're sitting at a circular table which has 4 coins, arranged in a diamond, at the 12, 3, 6, and 9 o'clock positions. You are blindfolded, and can never see the coins or the table.*\n", "\n", - "> *Your goal is to get all 4 coins showing heads, by telling the devil the position(s) of some coins to flip. We call this a \"move\" on your part. The devil must faithfully perform the requested flips, but may first sneakily rotate the table any number of quarter-turns, so that the coins are in different positions. You keep making moves, and the devil keeps rotating and flipping, until all 4 coins show heads.*\n", + "> *Your goal is to get all 4 coins showing heads, by telling the devil the position(s) of some coins to flip. We call this a \"move\" on your part. The Devil must faithfully perform the requested flips, but may first sneakily rotate the table any number of quarter-turns, so that the coins are in different positions. You keep making moves, and the Devil keeps rotating and flipping, until all 4 coins show heads.*\n", "\n", - "> *Example: You tell the devil the 12 o'clock and 6 o'clock positions. The devil could leave the table unrotated (or could rotate it a half-turn), and then flip the two coins that you specified. Or the devil could rotate the table a quarter turn in either direction, and then flip the coins that are now in the 12 o'clock and 6 o'clock positions (which were formerly at 3 o'clock and 9 o'clock). You won't know which of these actions the devil took.*\n", + "> *Example: You tell the Devil to flip the 12 o'clock and 6 o'clock positions. The devil might rotate the table a quarter turn clockwiae, and then flip the coins that have moved into the 12 o'clock and 6 o'clock positions (which were formerly at 3 o'clock and 9 o'clock). Or the Devil could have made any other rotation before flipping.*\n", "\n", - "> *What is a shortest sequence of moves that is *guaranteed* to win, no matter what the initial state of the coins, and no matter what rotations the devil applies?*\n", + "> *What is a shortest sequence of moves that is **guaranteed** to win, no matter what the initial state of the coins, and no matter what rotations the Devil applies?*\n", "\n", "# Analysis\n", "\n", "- We're looking for a \"shortest sequence of moves\" that reaches a goal. That's a [shortest path search problem](https://en.wikipedia.org/wiki/Shortest_path_problem). I've done that before.\n", "- Since the Devil gets to make moves too, you might think that this is a [minimax](https://en.wikipedia.org/wiki/Minimax) problem: that we should choose the move that leads to the shortest path, given that the Devil has the option of making moves that lead to the longest path.\n", - "- In fact, the Devil would do well to determine his best move using a minimax search.\n", - "- However, the player can't do that, because minimax only works when you know what moves the opponent is making. Here the player is blinfolded; that makes it a [partially observable problem](https://en.wikipedia.org/wiki/Partially_observable_system) (in this case, not observable at all, but we still say \"partially\").\n", - "- In such problems, we don't know for sure the true state of the world before or after any move. So we should represent what *is* known: *the set of states that we believe to be possible*. We call this a *belief state*. At the start of the game, each of the four coins could be either heads or tails, so that's 24 = 16 possibilities in the belief state:\n", + "- But minimax only works when you know what moves the opponent is making: he did *that*, so I'll do *this*. In this problem the player is blinfolded; that makes it a [partially observable problem](https://en.wikipedia.org/wiki/Partially_observable_system) (in this case, not observable at all, but we still say \"partially\").\n", + "- In such problems, we don't know for sure the true state of the world before or after any move. So we should represent what *is* known: *the set of states that we believe to be possible*. We call this a *belief state*. At the start of the game, each of the four coins could be either heads or tails, so that's 24 = 16 possibilities in the initial belief state:\n", " {HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT, \n", " THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT}\n", "- So we have a single-agent shortest path search in the space of belief states (not the space of physical states of the coins). We search for a path from the inital belief state to the goal belief state, which is `{HHHH}`.\n", - "- A move updates the belief state as follows: for every four-coin sequence in the current belief state, rotate it in every possible way, and then flip the coins specified by the position(s) in the move. Collect all these results together to form the new belief state. The search space is small (just 216 possible belief states), so run time will be fast; the only issue is specifying the domain correctly. \n", - "- To increase the chance of getting it right, I won't do anything fancy, such as noticing rotational symmetry (although we'll come back to that later).\n", + "- A move updates the belief state as follows: for every four-coin sequence in the current belief state, rotate it in every possible way, and then flip the coins specified by the position(s) in the move. Collect all these results together to form the new belief state. The search space is small (just 216 possible belief states), so run time will be fast. \n", + "- I'll Keep It Simple, and not worry about rotational symmetry (although we'll come back to that later).\n", "\n", "\n", - "# Vocabulary and Implementation Choices\n", + "# Basic Data Structures and Functions\n", "\n", - "- `Coins`: a *coin sequence* (on the table) is represented as a `str` of four characters, such as `'HTTT'`. \n", - "- `Belief`: a *belief state* is represented as a `frozenset` of `Coins` (frozen so that it can be hashed).\n", + "What data structures will I be dealing with?\n", + "\n", + "- `Coins`: a *coin sequence* (four coins, in order, on the table) is represented as a `str` of four characters, such as `'HTTT'`. \n", + "- `Belief`: a *belief state* is a `frozenset` of `Coins` (frozen so it can be hashed), like `{'HHHT', 'TTTH'}`.\n", "- `Position`: an integer index into the coin sequence; position `0` selects the `H` in `'HTTT'`\n", "and corresponds to the 12 o'clock position; position 1 corresponds to 3 o'clock, and so on.\n", "- `Move`: a set of positions to flip, such as `{0, 2}`. \n", - "- `Strategy`: an ordered list of moves. Since there is no feedback while playing\n", - "(blindfolded) there are no decision points in the strategy. \n", - "- `winning(strategy)`: a winning strategy is one that takes us from the initial state to the goal, regardless\n", - "of what rotations the Devil chooses.\n", - "- `all_moves()`: returns a list of every possible move a player can make.\n", - "- `all_coins()`: returns a belief state consisting of the set of all 16 possible coin sequences: `{'HHHH', 'HHHT', ...}`.\n", - "- `rotations(coins)`: returns a set of all 4 rotations of the coin sequence.\n", - "- `flip(coins, move)`: flips the specified positions within the coin sequence.\n", - " (But don't flip `'HHHH'`, because the game would have already ended if this were the coin sequence.)\n", - "- `update(belief, move)`: returns an updated belief state: all the coin sequences that could result from any rotation followed by the specified flips.\n" + "- `Strategy`: an ordered list of moves. A\n", + "blindfolded player has no feedback, there thus no decision points in the strategy. " ] }, { "cell_type": "code", "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "from collections import deque\n", + "from itertools import product, combinations, chain\n", + "import random\n", + "\n", + "Coins = ''.join # A coin sequence; a str: 'HHHT'.\n", + "Belief = frozenset # A set of possible coin sequences: {'HHHT', 'TTTH'}.\n", + "Position = int # An index into a coin sequence.\n", + "Move = set # A set of positions to flip: {0, 2}\n", + "Strategy = list # A list of Moves: [{0, 1, 2, 3}, {0, 2}, ...]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "What basic functions do I need to manipulate these data structures?\n", + "\n", + "- `all_moves()`: returns a list of every possible move a player can make.\n", + "- `all_coins()`: returns a belief state consisting of the set of all 16 possible coin sequences: `{'HHHH', 'HHHT', ...}`.\n", + "- `rotations(coins)`: returns a belief set of all 4 rotations of the coin sequence.\n", + "- `flip(coins, move)`: flips the specified positions within the coin sequence.\n", + " (But leave `'HHHH'` alone, because it ends the game.)\n", + "- `update(belief, move)`: returns an updated belief state: all the coin sequences that could result from any rotation followed by the specified flips.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ - "from collections import deque\n", - "from itertools import product, combinations\n", - "import random\n", - "\n", - "Coins = ''.join # A coin sequence; a str: 'HHHT'.\n", - "Belief = frozenset # A set of possible coin sequences: {'HHHT', 'TTTH'}\n", - "Move = set # A set of positions to flip: {0, 2}\n", - "Strategy = list # A list of Moves: [{0, 1, 2, 3}, {0, 2}, ...]\n", - "\n", - "# TODO: winning(strategy)\n", - "\n", - "def all_moves(): return powerset(range(4))\n", - "\n", - "def powerset(sequence): \n", - " \"All subsets of a sequence.\"\n", - " return [set(c) \n", - " for r in range(len(sequence) + 1)\n", - " for c in combinations(sequence, r)]\n", + "def all_moves() -> [Move]: \n", + " \"List of all possible moves.\"\n", + " return [set(m) for m in powerset(range(4))]\n", "\n", "def all_coins() -> Belief:\n", - " \"Return the belief set consisting of all possible coin sequences.\"\n", + " \"The belief set consisting of all possible coin sequences.\"\n", " return Belief(map(Coins, product('HT', repeat=4)))\n", "\n", "def rotations(coins) -> {Coins}: \n", - " \"A list of all possible rotations of a coin sequence.\"\n", + " \"A set of all possible rotations of a coin sequence.\"\n", " return {coins[r:] + coins[:r] for r in range(4)}\n", "\n", "def flip(coins, move) -> Coins:\n", " \"Flip the coins in the positions specified by the move (but leave 'HHHH' alone).\"\n", - " if 'T' in coins: \n", - " coins = list(coins) # Need a mutable sequence\n", - " for i in move:\n", - " coins[i] = ('H' if coins[i] == 'T' else 'T')\n", + " if 'T' not in coins: return coins # Don't flip 'HHHH'\n", + " coins = list(coins) # Need a mutable sequence\n", + " for i in move:\n", + " coins[i] = ('H' if coins[i] == 'T' else 'T')\n", " return Coins(coins)\n", "\n", "def update(belief, move) -> Belief:\n", " \"Update belief: consider all possible rotations, then flip.\"\n", " return Belief(flip(c, move)\n", " for coins in belief\n", - " for c in rotations(coins))" + " for c in rotations(coins))\n", + "\n", + "flatten = chain.from_iterable\n", + "\n", + "def powerset(iterable): \n", + " \"powerset([1,2,3]) --> () (1,) (2,) (3,) (1,2) (1,3) (2,3) (1,2,3)\"\n", + " # https://docs.python.org/3/library/itertools.html#itertools-recipes\n", + " s = list(iterable)\n", + " return flatten(combinations(s, r) for r in range(len(s) + 1))" ] }, { @@ -108,7 +125,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 3, "metadata": {}, "outputs": [ { @@ -132,40 +149,13 @@ " {0, 1, 2, 3}]" ] }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "all_moves()" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[set(),\n", - " {'a'},\n", - " {'b'},\n", - " {'c'},\n", - " {'a', 'b'},\n", - " {'a', 'c'},\n", - " {'b', 'c'},\n", - " {'a', 'b', 'c'}]" - ] - }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "powerset('abc')" + "all_moves()" ] }, { @@ -284,6 +274,26 @@ "update(all_coins(), {0, 1, 2, 3})" ] }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[(), (1,), (2,), (3,), (1, 2), (1, 3), (2, 3), (1, 2, 3)]" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "list(powerset([1,2,3]))" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -304,7 +314,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 9, "metadata": { "collapsed": true }, @@ -336,7 +346,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 10, "metadata": {}, "outputs": [ { @@ -359,7 +369,7 @@ " {0, 1, 2, 3}]" ] }, - "execution_count": 9, + "execution_count": 10, "metadata": {}, "output_type": "execute_result" } @@ -376,23 +386,25 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "That's a 15-move strategy that is guaranteed to lead to a win. **Stop here** if all you want is the answer to the puzzle. Or you can continue on ...\n", + "That's a 15-move strategy that is guaranteed to lead to a win. **Stop here** if all you want is the answer to the puzzle. \n", "\n", "----\n", "\n", + "Or you can continue on ...\n", + "\n", "# Verifying the Winning Strategy\n", "\n", - "I don't have a proof, but I have some evidence that the strategy inevitably leads to the goal:\n", - "- Exploring with paper and pencil, it does appear to work. \n", + "I don't have a proof, but I have some evidence that this strategy works:\n", + "- Exploring with paper and pencil, it looks good. \n", "- A colleague did the puzzle and got the same answer. \n", "- It passes the `winning` test below.\n", "\n", - "The function `winning` takes a strategy and plays it against a Devil that chooses rotations at random, repeating play 10,000 times (by default) for each possible starting coin sequence. Note this is dealing with concrete, individual states of the world, like `HTHH`, not belief states." + "The call `winning(strategy, k)` plays the strategy *k* times against a Devil that chooses starting positions and rotations at random. Note this is dealing with concrete, individual states of the world, like `HTHH`, not belief states. If `winning` returns `False`, then the strategy is *definitely* flawed. If it returns `True`, then the strategy is *probably* good—it won *k* times in a row—but that does not prove it will win every time (and either way `winning` makes no claims about being a *shortest* strategy)." ] }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 11, "metadata": {}, "outputs": [ { @@ -401,23 +413,24 @@ "True" ] }, - "execution_count": 10, + "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "def winning(strategy, repeat=10000):\n", + "def winning(strategy, k=100000) -> bool:\n", " \"Is this a winning strategy? A probabilistic algorithm.\"\n", - " return all(play(coins, strategy) == 'HHHH'\n", - " for coins in all_coins() for _ in range(repeat))\n", + " return all(play(strategy) == 'HHHH'\n", + " for _ in range(k))\n", "\n", - "def play(coins, strategy):\n", - " \"Play strategy against a random Devil; return final state of coins.\"\n", + "def play(strategy, starting_coins=list(all_coins())) -> Coins:\n", + " \"Play strategy for one game against a random Devil; return final state of coins.\"\n", + " coins = random.choice(starting_coins)\n", " for move in strategy:\n", - " if 'T' in coins:\n", - " coins = random.choice(list(rotations(coins)))\n", - " coins = flip(coins, move)\n", + " if 'T' not in coins: return coins\n", + " coins = random.choice(list(rotations(coins)))\n", + " coins = flip(coins, move)\n", " return coins\n", "\n", "winning(strategy=coin_search())" @@ -427,38 +440,45 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "This says that we played 16 × 10,000 games, and the strategy won every time. It does not say it will always win against other rotation choices, and it does not make any claims about being a shortest strategy.\n", + "\n", "\n", "# Canonical Coin Sequences\n", "\n", - "Consider these coin sequences: `{'HHHT', 'HHTH', 'HTHH', 'THHH'}`. In a sense, these are all the same: they all denote the same sequence of coins with the table rotated to different degrees. Since the devil is free to rotate the table any amount at any time, we could be justified in treating all four of these as equivalent, and collapsing them into one representative member (we could arbitrarily choose the one that comes first in alphabetical order, `'HHHT'`). I will redefine `Belief` as a function that returns a `frozenset`, just like before, but makes it a set of `canonical` coin sequences." + "Consider these coin sequences: `{'HHHT', 'HHTH', 'HTHH', 'THHH'}`. In a sense, these are all the same: they all denote the same sequence of coins with the table rotated to different degrees. Since the devil is free to rotate the table any amount at any time, we could be justified in treating all four of these as equivalent, and collapsing them into one representative member. I will redefine `Coins` so that is stil takes an iterable of `'H'` or `'T'` characters and joins them into a `str`, but I will make it consider all possible rotations of the string and (arbitraily) choose the one that comes first in alphabetical order (which would be `'HHHT'` for the four coin sequences mentioned here)." ] }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "def Coins(coins) -> str: \n", + " \"The canonical representation (after rotation) of the 'H'/'T' sequence.\"\n", + " return min(rotations(''.join(coins)))" + ] + }, + { + "cell_type": "code", + "execution_count": 13, "metadata": { "collapsed": true }, "outputs": [], "source": [ - "def canonical(coins): return min(rotations(coins))\n", - "\n", - "def Belief(coin_collection): \n", - " \"A set of all the coin sequences in this collection, canonicalized.\"\n", - " return frozenset(map(canonical, coin_collection))" + "assert Coins('HHHT') == Coins('HHTH') == Coins('HTHH') == Coins('THHH') == 'HHHT'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "With `Belief` redefined, the result of calling `all_coins` will be different:" + "With `Coins` redefined, the result of `all_coins()` is different:" ] }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 14, "metadata": {}, "outputs": [ { @@ -467,7 +487,7 @@ "frozenset({'HHHH', 'HHHT', 'HHTT', 'HTHT', 'HTTT', 'TTTT'})" ] }, - "execution_count": 12, + "execution_count": 14, "metadata": {}, "output_type": "execute_result" } @@ -487,7 +507,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 15, "metadata": {}, "outputs": [ { @@ -510,7 +530,7 @@ " {0, 1, 2, 3}]" ] }, - "execution_count": 13, + "execution_count": 15, "metadata": {}, "output_type": "execute_result" } @@ -527,19 +547,19 @@ "\n", "What if there are 3 coins on the table arranged in a triangle? Or 6 coins in a hexagon? To answer that, I'll generalize all the functions that have a \"4\" in them: `all_moves, all_coins`, `rotations` and `coin_search`.\n", "\n", - "To compute `all_moves()` for 4 coins, I previously used `powerset(range(4))`, and got 16 possible moves. Now I want the set of all *canonicalized* moves for any *N*: the moves `{0}` and `{1}` should be considered the same, since they both say \"flip one coin.\" Look at the canonicalized set of `all_coins(N)`, and for each one pull out the set of positions that have an `H` in them and flip those positions. (The positions with a `T` should be symmetric, so we don't need them as well.)" + "Computing `all_coins(N)` is easy; just take the product, and canonicalize each one with the new definition of `Coins`. For `all_moves(N)` I want canonicalized moves: the moves `{0}` and `{1}` should be considered the same, since they both say \"flip one coin.\" To get that, look at the canonicalized set of `all_coins(N)`, and for each one pull out the set of positions that have an `H` in them and flip those positions. (The positions with a `T` should be symmetric, so we don't need them as well.)" ] }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 16, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def all_moves(N=4) -> [Move]:\n", - " \"All rotationally invariant moves for a sequence of N coins.\"\n", + " \"All canonical moves for a sequence of N coins.\"\n", " return [set(i for i in range(N) if coins[i] == 'H')\n", " for coins in sorted(all_coins(N))]\n", "\n", @@ -565,18 +585,23 @@ }, { "cell_type": "code", - "execution_count": 15, - "metadata": {}, + "execution_count": 17, + "metadata": { + "collapsed": true + }, "outputs": [], "source": [ "assert all_moves(3) == [{0, 1, 2}, {0, 1}, {0}, set()]\n", "assert all_moves(4) == [{0, 1, 2, 3}, {0, 1, 2}, {0, 1}, {0, 2}, {0}, set()]\n", + "\n", "assert all_coins(4) == {'HHHH', 'HHHT', 'HHTT', 'HTHT', 'HTTT', 'TTTT'}\n", "assert all_coins(5) == {'HHHHH','HHHHT', 'HHHTT','HHTHT','HHTTT', 'HTHTT', 'HTTTT', 'TTTTT'}\n", + "\n", "assert rotations('HHHHHT') == {'HHHHHT', 'HHHHTH', 'HHHTHH', 'HHTHHH', 'HTHHHH', 'THHHHH'}\n", "assert update({'TTTTTTT'}, {3}) == {'HTTTTTT'}\n", "assert (update(rotations('HHHHHT'), {0}) == update({'HHTHHH'}, {1}) == update({'THHHHH'}, {2})\n", " == {'HHHHHH', 'HHHHTT', 'HHHTHT', 'HHTHHT'})\n", + "\n", "assert coin_search(4) == [\n", " {0, 1, 2, 3},\n", " {0, 2},\n", @@ -604,7 +629,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 18, "metadata": {}, "outputs": [ { @@ -624,7 +649,7 @@ " 12: 352}" ] }, - "execution_count": 17, + "execution_count": 18, "metadata": {}, "output_type": "execute_result" } @@ -645,7 +670,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 19, "metadata": {}, "outputs": [ { @@ -674,7 +699,7 @@ " 7: None}" ] }, - "execution_count": 18, + "execution_count": 19, "metadata": {}, "output_type": "execute_result" } @@ -689,7 +714,9 @@ "source": [ "Too bad; there are no winning strategies for N = 3, 5, 6, or 7. \n", "\n", - "There *are* winning strategies for N = 1, 2, 4; they have lengths 1, 3, 15, respectively. That suggests the conjecture: \n", + "There *are* winning strategies for N = 1, 2, 4; they have lengths 1, 3, 15, respectively. Hmm. That suggests ...\n", + "\n", + "# A Conjecture\n", "\n", "> For every *N* that is a power of 2, there will be a shortest winning strategy of length 2*N* - 1.\n", "\n", @@ -702,15 +729,15 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 1min 22s, sys: 250 ms, total: 1min 22s\n", - "Wall time: 1min 23s\n" + "CPU times: user 1min 18s, sys: 118 ms, total: 1min 18s\n", + "Wall time: 1min 18s\n" ] } ], @@ -720,7 +747,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 21, "metadata": {}, "outputs": [ { @@ -729,7 +756,7 @@ "255" ] }, - "execution_count": 20, + "execution_count": 21, "metadata": {}, "output_type": "execute_result" } @@ -742,7 +769,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Eureka! That's evidence in favor of the conjecture. But not proof. And it leaves many questions unanswered:\n", + "**Eureka!** That's evidence in favor of the conjecture. But not proof. And it leaves many questions unanswered:\n", "- Can you show there are no winning strategies for *N* = 9, 10, 11, ...?\n", "- Can you prove there are no winning strategies for any *N* that is not a power of 2?\n", "- Can you find a winning strategy of length 65,535 for *N* = 16 and verify that it works?\n", @@ -762,7 +789,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 22, "metadata": { "collapsed": true }, @@ -772,40 +799,39 @@ " \"For each move, print the move number, move, and belief state.\"\n", " belief = all_coins(N)\n", " order = sorted(belief)\n", - " show_line(0, {}, belief, order, N)\n", " for (i, move) in enumerate(moves, 1):\n", " belief = update(belief, move)\n", - " show_line(i, move, belief, order, N)\n", + " print('{:3} | {:8} | {}'.format(\n", + " i, movestr(move, N), beliefstr(belief, order)))\n", "\n", - "def show_line(i, move, belief, order, N):\n", - " \"Print the move number, move, and belief state.\"\n", - " ordered_belief = [(coins if coins in belief else ' ' * len(coins))\n", - " for coins in order]\n", - " print('{:3} | {:8} | {}'\n", - " .format(i, movestr(move, N), join(ordered_belief, ' ')))\n", + "def beliefstr(belief, order) -> str: \n", + " return join(((coins if coins in belief else ' ' * len(coins))\n", + " for coins in order), ' ')\n", + "\n", + "def movestr(move, N) -> str: \n", + " return join((i if i in move else ' ') \n", + " for i in range(N))\n", " \n", - "def movestr(move, N): return join((i if i in move else ' ') for i in range(N))\n", - " \n", - "def join(items, sep='') -> str: return sep.join(map(str, items))" + "def join(items, sep='') -> str: \n", + " return sep.join(map(str, items))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "The following table shows the move number, the move (e.g. \"01\" to flip positions 0 and 1), and all the canonical coin sequences in the belief state after the move:" + "The following tables shows how moves change the belief state:" ] }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - " 0 | | HH HT TT\n", " 1 | 01 | HH HT \n", " 2 | 0 | HH TT\n", " 3 | 01 | HH \n" @@ -818,14 +844,13 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - " 0 | | HHHH HHHT HHTT HTHT HTTT TTTT\n", " 1 | 0123 | HHHH HHHT HHTT HTHT HTTT \n", " 2 | 0 2 | HHHH HHHT HHTT HTTT TTTT\n", " 3 | 0123 | HHHH HHHT HHTT HTTT \n", @@ -859,22 +884,21 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 25, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - " 1: HHTH rot: HTHH flip: 0123 => THTT\n", - " 2: THTT rot: HTTT flip: 0 2 => TTHT\n", - " 3: TTHT rot: THTT flip: 0123 => HTHH\n", - " 4: HTHH rot: THHH flip: 01 => HTHH\n", - " 5: HTHH rot: HHHT flip: 0123 => TTTH\n", - " 6: TTTH rot: HTTT flip: 0 2 => TTHT\n", - " 7: TTHT rot: THTT flip: 0123 => HTHH\n", - " 8: HTHH rot: HHHT flip: 012 => TTTT\n", - " 9: TTTT rot: TTTT flip: 0123 => HHHH\n" + " 1: HHTH rot: HHHT flip: 0123 => HTTT\n", + " 2: HTTT rot: TTTH flip: 0 2 => HHHT\n", + " 3: HHHT rot: HTHH flip: 0123 => HTTT\n", + " 4: HTTT rot: HTTT flip: 01 => HTTT\n", + " 5: HTTT rot: TTHT flip: 0123 => HHHT\n", + " 6: HHHT rot: THHH flip: 0 2 => HHHT\n", + " 7: HHHT rot: THHH flip: 0123 => HTTT\n", + " 8: HTTT rot: TTTH flip: 012 => HHHH\n" ] }, { @@ -883,7 +907,7 @@ "'HHHH'" ] }, - "execution_count": 24, + "execution_count": 25, "metadata": {}, "output_type": "execute_result" } @@ -893,13 +917,13 @@ " \"Play strategy against a random Devil; return final state of coins.\"\n", " N = len(coins)\n", " for i, move in enumerate(strategy, 1):\n", - " if 'T' in coins: \n", - " coins0 = coins\n", - " coins1 = random.choice(list(rotations(coins)))\n", - " coins = flip(coins1, move)\n", - " if verbose: \n", - " print('{:4d}: {} rot: {} flip: {} => {}'.format(\n", - " i, coins0, coins1, movestr(move, N), coins))\n", + " if 'T' not in coins: return coins\n", + " coins0 = coins\n", + " coins1 = random.choice(list(rotations(coins)))\n", + " coins = flip(coins1, move)\n", + " if verbose: \n", + " print('{:4d}: {} rot: {} flip: {} => {}'.format(\n", + " i, coins0, coins1, movestr(move, N), coins))\n", " return coins\n", "\n", "play('HHTH', coin_search(4), True)" @@ -907,243 +931,268 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 26, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - " 1: HTTHTTHT rot: TTHTTHTH flip: 01234567 => HHTHHTHT\n", - " 2: HHTHHTHT rot: THTHHTHH flip: 0 2 4 6 => HHHHTTTH\n", - " 3: HHHHTTTH rot: HHHHTTTH flip: 01234567 => TTTTHHHT\n", - " 4: TTTTHHHT rot: HHHTTTTT flip: 01 45 => TTHTHHTT\n", - " 5: TTHTHHTT rot: THHTTTTH flip: 01234567 => HTTHHHHT\n", - " 6: HTTHHHHT rot: THTTHHHH flip: 0 2 4 6 => HHHTTHTH\n", - " 7: HHHTTHTH rot: TTHTHHHH flip: 01234567 => HHTHTTTT\n", - " 8: HHTHTTTT rot: THTTTTHH flip: 012 456 => HTHTHHTH\n", - " 9: HTHTHHTH rot: HHTHHTHT flip: 01234567 => TTHTTHTH\n", - " 10: TTHTTHTH rot: HTTHTHTT flip: 0 2 4 6 => TTHHHHHT\n", - " 11: TTHHHHHT rot: THHHHHTT flip: 01234567 => HTTTTTHH\n", - " 12: HTTTTTHH rot: TTTHHHTT flip: 01 45 => HHTHTTTT\n", - " 13: HHTHTTTT rot: THTTTTHH flip: 01234567 => HTHHHHTT\n", - " 14: HTHHHHTT rot: TTHTHHHH flip: 0 2 4 6 => HTTTTHTH\n", - " 15: HTTTTHTH rot: TTHTHHTT flip: 01234567 => HHTHTTHH\n", - " 16: HHTHTTHH rot: THHHHTHT flip: 0123 => HTTTHTHT\n", - " 17: HTTTHTHT rot: HTHTHTTT flip: 01234567 => THTHTHHH\n", - " 18: THTHTHHH rot: HTHTHTHH flip: 0 2 4 6 => TTTTTTTH\n", - " 19: TTTTTTTH rot: TTTTTTTH flip: 01234567 => HHHHHHHT\n", - " 20: HHHHHHHT rot: THHHHHHH flip: 01 45 => HTHHTTHH\n", - " 21: HTHHTTHH rot: HHTHHTTH flip: 01234567 => TTHTTHHT\n", - " 22: TTHTTHHT rot: THHTTTHT flip: 0 2 4 6 => HHTTHTTT\n", - " 23: HHTTHTTT rot: HTTTHHTT flip: 01234567 => THHHTTHH\n", - " 24: THHHTTHH rot: THHTHHHT flip: 012 456 => HTTTTTTT\n", - " 25: HTTTTTTT rot: TTTTTHTT flip: 01234567 => HHHHHTHH\n", - " 26: HHHHHTHH rot: HHTHHHHH flip: 0 2 4 6 => THHHTHTH\n", - " 27: THHHTHTH rot: HTHTHTHH flip: 01234567 => THTHTHTT\n", - " 28: THTHTHTT rot: TTHTHTHT flip: 01 45 => HHHTTHHT\n", - " 29: HHHTTHHT rot: TTHHTHHH flip: 01234567 => HHTTHTTT\n", - " 30: HHTTHTTT rot: HTTTHHTT flip: 0 2 4 6 => TTHTTHHT\n", - " 31: TTHTTHHT rot: HTTHHTTT flip: 01234567 => THHTTHHH\n", - " 32: THHTTHHH rot: HTTHHHTH flip: 01234 6 => THHTTHHH\n", - " 33: THHTTHHH rot: TTHHHTHH flip: 01234567 => HHTTTHTT\n", - " 34: HHTTTHTT rot: TTHHTTTH flip: 0 2 4 6 => HTTHHTHH\n", - " 35: HTTHHTHH rot: TTHHTHHH flip: 01234567 => HHTTHTTT\n", - " 36: HHTTHTTT rot: HTTHTTTH flip: 01 45 => THTHHHTH\n", - " 37: THTHHHTH rot: HTHTHHHT flip: 01234567 => THTHTTTH\n", - " 38: THTHTTTH rot: HTHTTTHT flip: 0 2 4 6 => TTTTHTTT\n", - " 39: TTTTHTTT rot: THTTTTTT flip: 01234567 => HTHHHHHH\n", - " 40: HTHHHHHH rot: HHHHHHTH flip: 012 456 => TTTHTTHH\n", - " 41: TTTHTTHH rot: TTHTTHHT flip: 01234567 => HHTHHTTH\n", - " 42: HHTHHTTH rot: THHTTHHH flip: 0 2 4 6 => HHTTHHTH\n", - " 43: HHTTHHTH rot: HHHTTHHT flip: 01234567 => TTTHHTTH\n", - " 44: TTTHHTTH rot: HHTTHTTT flip: 01 45 => TTTTTHTT\n", - " 45: TTTTTHTT rot: TTTTTTHT flip: 01234567 => HHHHHHTH\n", - " 46: HHHHHHTH rot: HHHHHHHT flip: 0 2 4 6 => THTHTHTT\n", - " 47: THTHTHTT rot: THTHTTTH flip: 01234567 => HTHTHHHT\n", - " 48: HTHTHHHT rot: HTHHHTHT flip: 0123 => THTTHTHT\n", - " 49: THTTHTHT rot: TTHTHTTH flip: 01234567 => HHTHTHHT\n", - " 50: HHTHTHHT rot: THTHHTHH flip: 0 2 4 6 => HHHHTTTH\n", - " 51: HHHHTTTH rot: HHHHTTTH flip: 01234567 => TTTTHHHT\n", - " 52: TTTTHHHT rot: TTHHHTTT flip: 01 45 => HHHHTHTT\n", - " 53: HHHHTHTT rot: TTHHHHTH flip: 01234567 => HHTTTTHT\n", - " 54: HHTTTTHT rot: THHTTTTH flip: 0 2 4 6 => HHTTHTHH\n", - " 55: HHTTHTHH rot: HHTTHTHH flip: 01234567 => TTHHTHTT\n", - " 56: TTHHTHTT rot: TTTTHHTH flip: 012 456 => HHHTTTHH\n", - " 57: HHHTTTHH rot: HHHHTTTH flip: 01234567 => TTTTHHHT\n", - " 58: TTTTHHHT rot: TTTTTHHH flip: 0 2 4 6 => HTHTHHTH\n", - " 59: HTHTHHTH rot: THHTHHTH flip: 01234567 => HTTHTTHT\n", - " 60: HTTHTTHT rot: THTHTTHT flip: 01 45 => HTTHHHHT\n", - " 61: HTTHHHHT rot: THTTHHHH flip: 01234567 => HTHHTTTT\n", - " 62: HTHHTTTT rot: TTHTHHTT flip: 0 2 4 6 => HTTTTHHT\n", - " 63: HTTTTHHT rot: HHTHTTTT flip: 01234567 => TTHTHHHH\n", - " 64: TTHTHHHH rot: TTHTHHHH flip: 012345 => HHTHTTHH\n", - " 65: HHTHTTHH rot: TTHHHHTH flip: 01234567 => HHTTTTHT\n", - " 66: HHTTTTHT rot: THTHHTTT flip: 0 2 4 6 => HHHHTTHT\n", - " 67: HHHHTTHT rot: THTHHHHT flip: 01234567 => HTHTTTTH\n", - " 68: HTHTTTTH rot: THTTTTHH flip: 01 45 => HTTTHHHH\n", - " 69: HTTTHHHH rot: TTTHHHHH flip: 01234567 => HHHTTTTT\n", - " 70: HHHTTTTT rot: TTTTTHHH flip: 0 2 4 6 => HTHTHHTH\n", - " 71: HTHTHHTH rot: HHTHHTHT flip: 01234567 => TTHTTHTH\n", - " 72: TTHTTHTH rot: TTHTHTTH flip: 012 456 => HHTTTHHH\n", - " 73: HHTTTHHH rot: TTHHHHHT flip: 01234567 => HHTTTTTH\n", - " 74: HHTTTTTH rot: TTTTHHHT flip: 0 2 4 6 => HTHTTHTT\n", - " 75: HTHTTHTT rot: TTHTHTTH flip: 01234567 => HHTHTHHT\n", - " 76: HHTHTHHT rot: HTHHTHTH flip: 01 45 => THHHHTTH\n", - " 77: THHHHTTH rot: THTHHHHT flip: 01234567 => HTHTTTTH\n", - " 78: HTHTTTTH rot: TTTTHHTH flip: 0 2 4 6 => HTHTTHHH\n", - " 79: HTHTTHHH rot: HTTHHHHT flip: 01234567 => THHTTTTH\n", - " 80: THHTTTTH rot: TTTHTHHT flip: 0123 => HHHTTHHT\n", - " 81: HHHTTHHT rot: HTHHHTTH flip: 01234567 => THTTTHHT\n", - " 82: THTTTHHT rot: TTHHTTHT flip: 0 2 4 6 => HTTHHTTT\n", - " 83: HTTHHTTT rot: TTTHTTHH flip: 01234567 => HHHTHHTT\n", - " 84: HHHTHHTT rot: THHTTHHH flip: 01 45 => HTHTHTHH\n", - " 85: HTHTHTHH rot: HTHHHTHT flip: 01234567 => THTTTHTH\n", - " 86: THTTTHTH rot: THTHTHTT flip: 0 2 4 6 => HHHHHHHT\n", - " 87: HHHHHHHT rot: HHHHHHTH flip: 01234567 => TTTTTTHT\n", - " 88: TTTTTTHT rot: THTTTTTT flip: 012 456 => HTHTHHHT\n", - " 89: HTHTHHHT rot: HHTHTHTH flip: 01234567 => TTHTHTHT\n", - " 90: TTHTHTHT rot: TTHTHTHT flip: 0 2 4 6 => HTTTTTTT\n", - " 91: HTTTTTTT rot: TTTTTHTT flip: 01234567 => HHHHHTHH\n", - " 92: HHHHHTHH rot: HHHTHHHH flip: 01 45 => TTHTTTHH\n", - " 93: TTHTTTHH rot: THTTTHHT flip: 01234567 => HTHHHTTH\n", - " 94: HTHHHTTH rot: HTTHHTHH flip: 0 2 4 6 => TTHHTTTH\n", - " 95: TTHHTTTH rot: HHTTTHTT flip: 01234567 => TTHHHTHH\n", - " 96: TTHHHTHH rot: HTHHTTHH flip: 01234 6 => THTTHTTH\n", - " 97: THTTHTTH rot: HTTHTHTT flip: 01234567 => THHTHTHH\n", - " 98: THHTHTHH rot: HHTHTHHT flip: 0 2 4 6 => THHHHHTT\n", - " 99: THHHHHTT rot: HHHHHTTT flip: 01234567 => TTTTTHHH\n", - " 100: TTTTTHHH rot: TTTHHHTT flip: 01 45 => HHTHTTTT\n", - " 101: HHTHTTTT rot: HTHTTTTH flip: 01234567 => THTHHHHT\n", - " 102: THTHHHHT rot: THTHHHHT flip: 0 2 4 6 => HHHHTHTT\n", - " 103: HHHHTHTT rot: HTHTTHHH flip: 01234567 => THTHHTTT\n", - " 104: THTHHTTT rot: TTTTHTHH flip: 012 456 => HHHTTHTH\n", - " 105: HHHTTHTH rot: TTHTHHHH flip: 01234567 => HHTHTTTT\n", - " 106: HHTHTTTT rot: HHTHTTTT flip: 0 2 4 6 => THHHHTHT\n", - " 107: THHHHTHT rot: HHHTHTTH flip: 01234567 => TTTHTHHT\n", - " 108: TTTHTHHT rot: TTTHTHHT flip: 01 45 => HHTHHTHT\n", - " 109: HHTHHTHT rot: HHTHTHHT flip: 01234567 => TTHTHTTH\n", - " 110: TTHTHTTH rot: THTHTTHT flip: 0 2 4 6 => HHHHHTTT\n", - " 111: HHHHHTTT rot: HTTTHHHH flip: 01234567 => THHHTTTT\n", - " 112: THHHTTTT rot: TTTTTHHH flip: 0123 => HHHHTHHH\n", - " 113: HHHHTHHH rot: HTHHHHHH flip: 01234567 => THTTTTTT\n", - " 114: THTTTTTT rot: THTTTTTT flip: 0 2 4 6 => HHHTHTHT\n", - " 115: HHHTHTHT rot: HHTHTHTH flip: 01234567 => TTHTHTHT\n", - " 116: TTHTHTHT rot: HTHTHTTT flip: 01 45 => THHTTHTT\n", - " 117: THHTTHTT rot: THTTTHHT flip: 01234567 => HTHHHTTH\n", - " 118: HTHHHTTH rot: HHTHHHTT flip: 0 2 4 6 => THHHTHHT\n", - " 119: THHHTHHT rot: THHHTHHT flip: 01234567 => HTTTHTTH\n", - " 120: HTTTHTTH rot: THHTTTHT flip: 012 456 => HTTTHHTT\n", - " 121: HTTTHHTT rot: HHTTHTTT flip: 01234567 => TTHHTHHH\n", - " 122: TTHHTHHH rot: HTHHHTTH flip: 0 2 4 6 => TTTHTTHH\n", - " 123: TTTHTTHH rot: THHTTTHT flip: 01234567 => HTTHHHTH\n", - " 124: HTTHHHTH rot: HHTTHHHT flip: 01 45 => TTTTTTHT\n", - " 125: TTTTTTHT rot: TTTTTHTT flip: 01234567 => HHHHHTHH\n", - " 126: HHHHHTHH rot: HHHHHHTH flip: 0 2 4 6 => THTHTHHH\n", - " 127: THTHTHHH rot: THHHTHTH flip: 01234567 => HTTTHTHT\n", - " 128: HTTTHTHT rot: TTHTHTHT flip: 0123456 => HHTHTHTT\n", - " 129: HHTHTHTT rot: HTHTTHHT flip: 01234567 => THTHHTTH\n", - " 130: THTHHTTH rot: THTHTHHT flip: 0 2 4 6 => HHHHHHTT\n", - " 131: HHHHHHTT rot: TTHHHHHH flip: 01234567 => HHTTTTTT\n", - " 132: HHTTTTTT rot: THHTTTTT flip: 01 45 => HTHTHHTT\n", - " 133: HTHTHHTT rot: TTHTHTHH flip: 01234567 => HHTHTHTT\n", - " 134: HHTHTHTT rot: THTTHHTH flip: 0 2 4 6 => HHHTTHHH\n", - " 135: HHHTTHHH rot: THHHHHHT flip: 01234567 => HTTTTTTH\n", - " 136: HTTTTTTH rot: TTTTTHHT flip: 012 456 => HHHTHTTT\n", - " 137: HHHTHTTT rot: HTHTTTHH flip: 01234567 => THTHHHTT\n", - " 138: THTHHHTT rot: TTTHTHHH flip: 0 2 4 6 => HTHHHHTH\n", - " 139: HTHHHHTH rot: HTHHTHHH flip: 01234567 => THTTHTTT\n", - " 140: THTTHTTT rot: TTHTTHTT flip: 01 45 => HHHTHTTT\n", - " 141: HHHTHTTT rot: HHTHTTTH flip: 01234567 => TTHTHHHT\n", - " 142: TTHTHHHT rot: THTHHHTT flip: 0 2 4 6 => HHHHTHHT\n", - " 143: HHHHTHHT rot: HTHHTHHH flip: 01234567 => THTTHTTT\n", - " 144: THTTHTTT rot: HTTHTTTT flip: 0123 => THHTTTTT\n", - " 145: THHTTTTT rot: THHTTTTT flip: 01234567 => HTTHHHHH\n", - " 146: HTTHHHHH rot: HHHTTHHH flip: 0 2 4 6 => THTTHHTH\n", - " 147: THTTHHTH rot: HTHTTHHT flip: 01234567 => THTHHTTH\n", - " 148: THTHHTTH rot: THTHTHHT flip: 01 45 => HTTHHTHT\n", - " 149: HTTHHTHT rot: HHTHTHTT flip: 01234567 => TTHTHTHH\n", - " 150: TTHTHTHH rot: HTTHTHTH flip: 0 2 4 6 => TTHHHHHH\n", - " 151: TTHHHHHH rot: HHHTTHHH flip: 01234567 => TTTHHTTT\n", - " 152: TTTHHTTT rot: TTHHTTTT flip: 012 456 => HHTHHHHT\n", - " 153: HHTHHHHT rot: HTHHHHTH flip: 01234567 => THTTTTHT\n", - " 154: THTTTTHT rot: HTTHTTTT flip: 0 2 4 6 => TTHHHTHT\n", - " 155: TTHHHTHT rot: HHHTHTTT flip: 01234567 => TTTHTHHH\n", - " 156: TTTHTHHH rot: THTHHHTT flip: 01 45 => HTTHTTTT\n", - " 157: HTTHTTTT rot: THTTHTTT flip: 01234567 => HTHHTHHH\n", - " 158: HTHHTHHH rot: THHTHHHH flip: 0 2 4 6 => HHTTTHTH\n", - " 159: HHTTTHTH rot: HHHTTTHT flip: 01234567 => TTTHHHTH\n", - " 160: TTTHHHTH rot: HTHTTTHH flip: 01234 6 => THTHHTTH\n", - " 161: THTHHTTH rot: HTHHTTHT flip: 01234567 => THTTHHTH\n", - " 162: THTTHHTH rot: HTHTTHHT flip: 0 2 4 6 => TTTTHHTT\n", - " 163: TTTTHHTT rot: TTHHTTTT flip: 01234567 => HHTTHHHH\n", - " 164: HHTTHHHH rot: HHHHTTHH flip: 01 45 => TTHHHHHH\n", - " 165: TTHHHHHH rot: HHHHHTTH flip: 01234567 => TTTTTHHT\n", - " 166: TTTTTHHT rot: HTTTTTTH flip: 0 2 4 6 => TTHTHTHH\n", - " 167: TTHTHTHH rot: THHTTHTH flip: 01234567 => HTTHHTHT\n", - " 168: HTTHHTHT rot: TTHHTHTH flip: 012 456 => HHTHHTHH\n", - " 169: HHTHHTHH rot: THHTHHHH flip: 01234567 => HTTHTTTT\n", - " 170: HTTHTTTT rot: TTTHTTHT flip: 0 2 4 6 => HTHHHTTT\n", - " 171: HTHHHTTT rot: TTTHTHHH flip: 01234567 => HHHTHTTT\n", - " 172: HHHTHTTT rot: TTHHHTHT flip: 01 45 => HHHHTHHT\n", + " 1: HTTHTTHT rot: TTHTHTTH flip: 01234567 => HHTHHTHT\n", + " 2: HHTHHTHT rot: HHTHTHHT flip: 0 2 4 6 => HHHHHTTT\n", + " 3: HHHHHTTT rot: TTHHHHHT flip: 01234567 => HHHTTTTT\n", + " 4: HHHTTTTT rot: HTTTTTHH flip: 01 45 => HHHHTHTT\n", + " 5: HHHHTHTT rot: HTHTTHHH flip: 01234567 => HHTTTTHT\n", + " 6: HHTTTTHT rot: TTTHTHHT flip: 0 2 4 6 => HHHHTTHT\n", + " 7: HHHHTTHT rot: TTHTHHHH flip: 01234567 => HHTHTTTT\n", + " 8: HHTHTTTT rot: THHTHTTT flip: 012 456 => HHTHTTTT\n", + " 9: HHTHTTTT rot: THHTHTTT flip: 01234567 => HHHHTTHT\n", + " 10: HHHHTTHT rot: TTHTHHHH flip: 0 2 4 6 => HHTTTTHT\n", + " 11: HHTTTTHT rot: HTHHTTTT flip: 01234567 => HHHHTHTT\n", + " 12: HHHHTHTT rot: HTTHHHHT flip: 01 45 => HTHTTHTT\n", + " 13: HTHTTHTT rot: THTTHTTH flip: 01234567 => HHTHHTHT\n", + " 14: HHTHHTHT rot: THHTHTHH flip: 0 2 4 6 => HHHTTTTT\n", + " 15: HHHTTTTT rot: TTTTTHHH flip: 01234567 => HHHHHTTT\n", + " 16: HHHHHTTT rot: HHHTTTHH flip: 0123 => HHTTTHTT\n", + " 17: HHTTTHTT rot: HHTTTHTT flip: 01234567 => HHHTHHTT\n", + " 18: HHHTHHTT rot: HHHTHHTT flip: 0 2 4 6 => HHTTHTTT\n", + " 19: HHTTHTTT rot: TTHTTTHH flip: 01234567 => HHHTTHHT\n", + " 20: HHHTTHHT rot: HHHTTHHT flip: 01 45 => HTHTHTTT\n", + " 21: HTHTHTTT rot: TTHTHTHT flip: 01234567 => HHHTHTHT\n", + " 22: HHHTHTHT rot: HHHTHTHT flip: 0 2 4 6 => HTTTTTTT\n", + " 23: HTTTTTTT rot: TTTTTTTH flip: 01234567 => HHHHHHHT\n", + " 24: HHHHHHHT rot: HHHHHHHT flip: 012 456 => HTTTTTTT\n", + " 25: HTTTTTTT rot: TTTTTHTT flip: 01234567 => HHHHHHHT\n", + " 26: HHHHHHHT rot: HHHHHHHT flip: 0 2 4 6 => HTHTHTTT\n", + " 27: HTHTHTTT rot: THTTTHTH flip: 01234567 => HHHTHTHT\n", + " 28: HHHTHTHT rot: HHHTHTHT flip: 01 45 => HHTTTHTT\n", + " 29: HHTTTHTT rot: TTHHTTTH flip: 01234567 => HHHTHHTT\n", + " 30: HHHTHHTT rot: TTHHHTHH flip: 0 2 4 6 => HHTTHTTT\n", + " 31: HHTTHTTT rot: HTTHTTTH flip: 01234567 => HHHTTHHT\n", + " 32: HHHTTHHT rot: TTHHTHHH flip: 01234 6 => HHHTTHHT\n", + " 33: HHHTTHHT rot: THHHTTHH flip: 01234567 => HHTTHTTT\n", + " 34: HHTTHTTT rot: TTTHHTTH flip: 0 2 4 6 => HHHTHHTT\n", + " 35: HHHTHHTT rot: HTTHHHTH flip: 01234567 => HHTTTHTT\n", + " 36: HHTTTHTT rot: TTHHTTTH flip: 01 45 => HHHHHHHT\n", + " 37: HHHHHHHT rot: HTHHHHHH flip: 01234567 => HTTTTTTT\n", + " 38: HTTTTTTT rot: HTTTTTTT flip: 0 2 4 6 => HTHTHTTT\n", + " 39: HTHTHTTT rot: THTHTTTH flip: 01234567 => HHHTHTHT\n", + " 40: HHHTHTHT rot: HHHTHTHT flip: 012 456 => HTTTTTTT\n", + " 41: HTTTTTTT rot: TTTTTTTH flip: 01234567 => HHHHHHHT\n", + " 42: HHHHHHHT rot: HHTHHHHH flip: 0 2 4 6 => HHHTHTHT\n", + " 43: HHHTHTHT rot: HTHHHTHT flip: 01234567 => HTHTHTTT\n", + " 44: HTHTHTTT rot: HTHTHTTT flip: 01 45 => HHTTHTTT\n", + " 45: HHTTHTTT rot: TTHTTTHH flip: 01234567 => HHHTTHHT\n", + " 46: HHHTTHHT rot: HTTHHTHH flip: 0 2 4 6 => HHTTTHTT\n", + " 47: HHTTTHTT rot: THTTHHTT flip: 01234567 => HHHTHHTT\n", + " 48: HHHTHHTT rot: HHTHHTTH flip: 0123 => HTHTTHTT\n", + " 49: HTHTTHTT rot: TTHTTHTH flip: 01234567 => HHTHHTHT\n", + " 50: HHTHHTHT rot: THTHHTHH flip: 0 2 4 6 => HHHHHTTT\n", + " 51: HHHHHTTT rot: HTTTHHHH flip: 01234567 => HHHTTTTT\n", + " 52: HHHTTTTT rot: TTHHHTTT flip: 01 45 => HHHHTHTT\n", + " 53: HHHHTHTT rot: HHHHTHTT flip: 01234567 => HHTTTTHT\n", + " 54: HHTTTTHT rot: TTTTHTHH flip: 0 2 4 6 => HHTHTTTT\n", + " 55: HHTHTTTT rot: THTTTTHH flip: 01234567 => HHHHTTHT\n", + " 56: HHHHTTHT rot: HHTTHTHH flip: 012 456 => HTHTTHTT\n", + " 57: HTHTTHTT rot: THTTHTTH flip: 01234567 => HHTHHTHT\n", + " 58: HHTHHTHT rot: HHTHTHHT flip: 0 2 4 6 => HHHHHTTT\n", + " 59: HHHHHTTT rot: HHTTTHHH flip: 01234567 => HHHTTTTT\n", + " 60: HHHTTTTT rot: TTTTHHHT flip: 01 45 => HHTTTTHT\n", + " 61: HHTTTTHT rot: HTTTTHTH flip: 01234567 => HHHHTHTT\n", + " 62: HHHHTHTT rot: THHHHTHT flip: 0 2 4 6 => HHTHTTTT\n", + " 63: HHTHTTTT rot: THTTTTHH flip: 01234567 => HHHHTTHT\n", + " 64: HHHHTTHT rot: HHHTTHTH flip: 012345 => HHTTHTTT\n", + " 65: HHTTHTTT rot: HTTHTTTH flip: 01234567 => HHHTTHHT\n", + " 66: HHHTTHHT rot: TTHHTHHH flip: 0 2 4 6 => HHHTHHTT\n", + " 67: HHHTHHTT rot: HHTHHTTH flip: 01234567 => HHTTTHTT\n", + " 68: HHTTTHTT rot: THTTHHTT flip: 01 45 => HTTTTTTT\n", + " 69: HTTTTTTT rot: TTTTTTHT flip: 01234567 => HHHHHHHT\n", + " 70: HHHHHHHT rot: HHHTHHHH flip: 0 2 4 6 => HTHTHTTT\n", + " 71: HTHTHTTT rot: TTHTHTHT flip: 01234567 => HHHTHTHT\n", + " 72: HHHTHTHT rot: HTHHHTHT flip: 012 456 => HTHTHTTT\n", + " 73: HTHTHTTT rot: TTHTHTHT flip: 01234567 => HHHTHTHT\n", + " 74: HHHTHTHT rot: HTHTHTHH flip: 0 2 4 6 => HTTTTTTT\n", + " 75: HTTTTTTT rot: TTTTHTTT flip: 01234567 => HHHHHHHT\n", + " 76: HHHHHHHT rot: HHTHHHHH flip: 01 45 => HHTTTHTT\n", + " 77: HHTTTHTT rot: HTTTHTTH flip: 01234567 => HHHTHHTT\n", + " 78: HHHTHHTT rot: HHTTHHHT flip: 0 2 4 6 => HHTTHTTT\n", + " 79: HHTTHTTT rot: HHTTHTTT flip: 01234567 => HHHTTHHT\n", + " 80: HHHTTHHT rot: HTHHHTTH flip: 0123 => HTHTTHTT\n", + " 81: HTHTTHTT rot: THTTHTTH flip: 01234567 => HHTHHTHT\n", + " 82: HHTHHTHT rot: HHTHHTHT flip: 0 2 4 6 => HHHTTTTT\n", + " 83: HHHTTTTT rot: TTHHHTTT flip: 01234567 => HHHHHTTT\n", + " 84: HHHHHTTT rot: TTHHHHHT flip: 01 45 => HHHHTTHT\n", + " 85: HHHHTTHT rot: HTTHTHHH flip: 01234567 => HHTHTTTT\n", + " 86: HHTHTTTT rot: HTTTTHHT flip: 0 2 4 6 => HHTTTTHT\n", + " 87: HHTTTTHT rot: TTTTHTHH flip: 01234567 => HHHHTHTT\n", + " 88: HHHHTHTT rot: THHHHTHT flip: 012 456 => HTHTTHTT\n", + " 89: HTHTTHTT rot: THTTHTTH flip: 01234567 => HHTHHTHT\n", + " 90: HHTHHTHT rot: THTHHTHH flip: 0 2 4 6 => HHHHHTTT\n", + " 91: HHHHHTTT rot: TTTHHHHH flip: 01234567 => HHHTTTTT\n", + " 92: HHHTTTTT rot: HHHTTTTT flip: 01 45 => HHTTTTHT\n", + " 93: HHTTTTHT rot: TTHTHHTT flip: 01234567 => HHHHTHTT\n", + " 94: HHHHTHTT rot: HHTHTTHH flip: 0 2 4 6 => HHHHTTHT\n", + " 95: HHHHTTHT rot: TTHTHHHH flip: 01234567 => HHTHTTTT\n", + " 96: HHTHTTTT rot: TTHHTHTT flip: 01234 6 => HHHTHHTT\n", + " 97: HHHTHHTT rot: TTHHHTHH flip: 01234567 => HHTTTHTT\n", + " 98: HHTTTHTT rot: TTHTTHHT flip: 0 2 4 6 => HHTTHTTT\n", + " 99: HHTTHTTT rot: THTTTHHT flip: 01234567 => HHHTTHHT\n", + " 100: HHHTTHHT rot: THHTHHHT flip: 01 45 => HTHTHTTT\n", + " 101: HTHTHTTT rot: THTHTTTH flip: 01234567 => HHHTHTHT\n", + " 102: HHHTHTHT rot: HTHTHTHH flip: 0 2 4 6 => HTTTTTTT\n", + " 103: HTTTTTTT rot: TTTTTHTT flip: 01234567 => HHHHHHHT\n", + " 104: HHHHHHHT rot: HHHHHHHT flip: 012 456 => HTTTTTTT\n", + " 105: HTTTTTTT rot: TTTHTTTT flip: 01234567 => HHHHHHHT\n", + " 106: HHHHHHHT rot: HHHHHHHT flip: 0 2 4 6 => HTHTHTTT\n", + " 107: HTHTHTTT rot: THTHTHTT flip: 01234567 => HHHTHTHT\n", + " 108: HHHTHTHT rot: HTHTHTHH flip: 01 45 => HHHTHHTT\n", + " 109: HHHTHHTT rot: TTHHHTHH flip: 01234567 => HHTTTHTT\n", + " 110: HHTTTHTT rot: HTTTHTTH flip: 0 2 4 6 => HHTTHTTT\n", + " 111: HHTTHTTT rot: TTTHHTTH flip: 01234567 => HHHTTHHT\n", + " 112: HHHTTHHT rot: HHHTTHHT flip: 0123 => HHTTTTHT\n", + " 113: HHTTTTHT rot: TTHTHHTT flip: 01234567 => HHHHTHTT\n", + " 114: HHHHTHTT rot: HHTHTTHH flip: 0 2 4 6 => HHHHTTHT\n", + " 115: HHHHTTHT rot: HHHHTTHT flip: 01234567 => HHTHTTTT\n", + " 116: HHTHTTTT rot: HTTTTHHT flip: 01 45 => HTHTTHTT\n", + " 117: HTHTTHTT rot: THTHTTHT flip: 01234567 => HHTHHTHT\n", + " 118: HHTHHTHT rot: HHTHHTHT flip: 0 2 4 6 => HHHTTTTT\n", + " 119: HHHTTTTT rot: HHTTTTTH flip: 01234567 => HHHHHTTT\n", + " 120: HHHHHTTT rot: TTTHHHHH flip: 012 456 => HHHHHTTT\n", + " 121: HHHHHTTT rot: HTTTHHHH flip: 01234567 => HHHTTTTT\n", + " 122: HHHTTTTT rot: HHHTTTTT flip: 0 2 4 6 => HTHTTHTT\n", + " 123: HTHTTHTT rot: THTTHTHT flip: 01234567 => HHTHHTHT\n", + " 124: HHTHHTHT rot: THHTHHTH flip: 01 45 => HHTHTTTT\n", + " 125: HHTHTTTT rot: HHTHTTTT flip: 01234567 => HHHHTTHT\n", + " 126: HHHHTTHT rot: THHHHTTH flip: 0 2 4 6 => HHHHTHTT\n", + " 127: HHHHTHTT rot: THHHHTHT flip: 01234567 => HHTTTTHT\n", + " 128: HHTTTTHT rot: HTTTTHTH flip: 0123456 => HHHHTHHT\n", + " 129: HHHHTHHT rot: THHTHHHH flip: 01234567 => HTTHTTTT\n", + " 130: HTTHTTTT rot: TTHTTTTH flip: 0 2 4 6 => HHHTTTHT\n", + " 131: HHHTTTHT rot: THHHTTTH flip: 01234567 => HHHTHTTT\n", + " 132: HHHTHTTT rot: THHHTHTT flip: 01 45 => HHHTTTHT\n", + " 133: HHHTTTHT rot: TTTHTHHH flip: 01234567 => HHHTHTTT\n", + " 134: HHHTHTTT rot: HTTTHHHT flip: 0 2 4 6 => HTTHTTTT\n", + " 135: HTTHTTTT rot: TTTTHTTH flip: 01234567 => HHHHTHHT\n", + " 136: HHHHTHHT rot: HHHTHHTH flip: 012 456 => HHTTTTTT\n", + " 137: HHTTTTTT rot: TTHHTTTT flip: 01234567 => HHHHHHTT\n", + " 138: HHHHHHTT rot: HHTTHHHH flip: 0 2 4 6 => HHTTHTHT\n", + " 139: HHTTHTHT rot: HTHTHHTT flip: 01234567 => HHTHTHTT\n", + " 140: HHTHTHTT rot: THTTHHTH flip: 01 45 => HHTTTTTT\n", + " 141: HHTTTTTT rot: TTTHHTTT flip: 01234567 => HHHHHHTT\n", + " 142: HHHHHHTT rot: TTHHHHHH flip: 0 2 4 6 => HHTTHTHT\n", + " 143: HHTTHTHT rot: TTHTHTHH flip: 01234567 => HHTHTHTT\n", + " 144: HHTHTHTT rot: HTTHHTHT flip: 0123 => HHTHTHTT\n", + " 145: HHTHTHTT rot: TTHHTHTH flip: 01234567 => HHTTHTHT\n", + " 146: HHTTHTHT rot: HHTTHTHT flip: 0 2 4 6 => HHTTTTTT\n", + " 147: HHTTTTTT rot: TTHHTTTT flip: 01234567 => HHHHHHTT\n", + " 148: HHHHHHTT rot: HHHHHHTT flip: 01 45 => HHTTTTTT\n", + " 149: HHTTTTTT rot: TTTTHHTT flip: 01234567 => HHHHHHTT\n", + " 150: HHHHHHTT rot: HHHHTTHH flip: 0 2 4 6 => HHTTHTHT\n", + " 151: HHTTHTHT rot: THTHHTTH flip: 01234567 => HHTHTHTT\n", + " 152: HHTHTHTT rot: HHTHTHTT flip: 012 456 => HHHTHTTT\n", + " 153: HHHTHTTT rot: THTTTHHH flip: 01234567 => HHHTTTHT\n", + " 154: HHHTTTHT rot: HHTTTHTH flip: 0 2 4 6 => HHHHTHHT\n", + " 155: HHHHTHHT rot: THHTHHHH flip: 01234567 => HTTHTTTT\n", + " 156: HTTHTTTT rot: TTHTTTTH flip: 01 45 => HHHHTHHT\n", + " 157: HHHHTHHT rot: HHTHHHHT flip: 01234567 => HTTHTTTT\n", + " 158: HTTHTTTT rot: TTTHTTHT flip: 0 2 4 6 => HHHTTTHT\n", + " 159: HHHTTTHT rot: HHHTTTHT flip: 01234567 => HHHTHTTT\n", + " 160: HHHTHTTT rot: TTHHHTHT flip: 01234 6 => HHTTTTTT\n", + " 161: HHTTTTTT rot: TTHHTTTT flip: 01234567 => HHHHHHTT\n", + " 162: HHHHHHTT rot: HHHHHTTH flip: 0 2 4 6 => HHTHTHTT\n", + " 163: HHTHTHTT rot: THTTHHTH flip: 01234567 => HHTTHTHT\n", + " 164: HHTTHTHT rot: TTHTHTHH flip: 01 45 => HHHHHHTT\n", + " 165: HHHHHHTT rot: HHTTHHHH flip: 01234567 => HHTTTTTT\n", + " 166: HHTTTTTT rot: HHTTTTTT flip: 0 2 4 6 => HHTHTHTT\n", + " 167: HHTHTHTT rot: THTHTTHH flip: 01234567 => HHTTHTHT\n", + " 168: HHTTHTHT rot: HTHHTTHT flip: 012 456 => HHHTTTHT\n", + " 169: HHHTTTHT rot: TTTHTHHH flip: 01234567 => HHHTHTTT\n", + " 170: HHHTHTTT rot: TTHHHTHT flip: 0 2 4 6 => HTTHTTTT\n", + " 171: HTTHTTTT rot: TTTTHTTH flip: 01234567 => HHHHTHHT\n", + " 172: HHHHTHHT rot: HTHHTHHH flip: 01 45 => HHHHTHHT\n", " 173: HHHHTHHT rot: THHTHHHH flip: 01234567 => HTTHTTTT\n", - " 174: HTTHTTTT rot: THTTHTTT flip: 0 2 4 6 => HHHTTTHT\n", - " 175: HHHTTTHT rot: HHHTTTHT flip: 01234567 => TTTHHHTH\n", - " 176: TTTHHHTH rot: HTHTTTHH flip: 0123 => THTHTTHH\n", - " 177: THTHTTHH rot: HTTHHTHT flip: 01234567 => THHTTHTH\n", - " 178: THHTTHTH rot: THHTTHTH flip: 0 2 4 6 => HHTTHHHH\n", - " 179: HHTTHHHH rot: HHTTHHHH flip: 01234567 => TTHHTTTT\n", - " 180: TTHHTTTT rot: HHTTTTTT flip: 01 45 => TTTTHHTT\n", - " 181: TTTTHHTT rot: TTHHTTTT flip: 01234567 => HHTTHHHH\n", - " 182: HHTTHHHH rot: THHHHHHT flip: 0 2 4 6 => HHTHTHTT\n", - " 183: HHTHTHTT rot: HTTHHTHT flip: 01234567 => THHTTHTH\n", - " 184: THHTTHTH rot: HHTTHTHT flip: 012 456 => TTHTTHTT\n", - " 185: TTHTTHTT rot: TTTTHTTH flip: 01234567 => HHHHTHHT\n", - " 186: HHHHTHHT rot: HTHHTHHH flip: 0 2 4 6 => TTTHHHTH\n", - " 187: TTTHHHTH rot: TTTHHHTH flip: 01234567 => HHHTTTHT\n", - " 188: HHHTTTHT rot: THHHTTTH flip: 01 45 => HTHHHHTH\n", - " 189: HTHHHHTH rot: HTHHHHTH flip: 01234567 => THTTTTHT\n", - " 190: THTTTTHT rot: HTTHTTTT flip: 0 2 4 6 => TTHHHTHT\n", - " 191: TTHHHTHT rot: TTTHHHTH flip: 01234567 => HHHTTTHT\n", - " 192: HHHTTTHT rot: THHHTTTH flip: 012345 => HTTTHHTH\n", - " 193: HTTTHHTH rot: THHTTTHH flip: 01234567 => HTTHHHTT\n", - " 194: HTTHHHTT rot: HHTTHTTH flip: 0 2 4 6 => THHTTTHH\n", - " 195: THHTTTHH rot: THHTTTHH flip: 01234567 => HTTHHHTT\n", - " 196: HTTHHHTT rot: THTTHHHT flip: 01 45 => HTTTTTHT\n", - " 197: HTTTTTHT rot: TTTHTHTT flip: 01234567 => HHHTHTHH\n", - " 198: HHHTHTHH rot: THHHHHTH flip: 0 2 4 6 => HHTHTHHH\n", - " 199: HHTHTHHH rot: HHTHTHHH flip: 01234567 => TTHTHTTT\n", - " 200: TTHTHTTT rot: TTTTTHTH flip: 012 456 => HHHTHTHH\n", - " 201: HHHTHTHH rot: HHTHTHHH flip: 01234567 => TTHTHTTT\n", - " 202: TTHTHTTT rot: HTTTTTHT flip: 0 2 4 6 => TTHTHTTT\n", - " 203: TTHTHTTT rot: TTTTHTHT flip: 01234567 => HHHHTHTH\n", - " 204: HHHHTHTH rot: HHHTHTHH flip: 01 45 => TTHTTHHH\n", - " 205: TTHTTHHH rot: TTHTTHHH flip: 01234567 => HHTHHTTT\n", - " 206: HHTHHTTT rot: TTHHTHHT flip: 0 2 4 6 => HTTHHHTT\n", - " 207: HTTHHHTT rot: HHTTHTTH flip: 01234567 => TTHHTHHT\n", - " 208: TTHHTHHT rot: THHTHHTT flip: 0123 => HTTHHHTT\n", - " 209: HTTHHHTT rot: HTTHTTHH flip: 01234567 => THHTHHTT\n", - " 210: THHTHHTT rot: TTTHHTHH flip: 0 2 4 6 => HTHHTTTH\n", - " 211: HTHHTTTH rot: HTTTHHTH flip: 01234567 => THHHTTHT\n", - " 212: THHHTTHT rot: HTTHTTHH flip: 01 45 => THTHHHHH\n", - " 213: THTHHHHH rot: HHTHTHHH flip: 01234567 => TTHTHTTT\n", - " 214: TTHTHTTT rot: THTHTTTT flip: 0 2 4 6 => HHHHHTHT\n", - " 215: HHHHHTHT rot: HHHTHTHH flip: 01234567 => TTTHTHTT\n", - " 216: TTTHTHTT rot: TTTHTHTT flip: 012 456 => HHHHHTHT\n", - " 217: HHHHHTHT rot: HHHHTHTH flip: 01234567 => TTTTHTHT\n", - " 218: TTTTHTHT rot: TTTTHTHT flip: 0 2 4 6 => HTHTTTTT\n", - " 219: HTHTTTTT rot: TTTHTHTT flip: 01234567 => HHHTHTHH\n", - " 220: HHHTHTHH rot: HHTHTHHH flip: 01 45 => TTTHHTHH\n", - " 221: TTTHHTHH rot: TTTHHTHH flip: 01234567 => HHHTTHTT\n", - " 222: HHHTTHTT rot: HTTHTTHH flip: 0 2 4 6 => TTHHHTTH\n", - " 223: TTHHHTTH rot: HTTHTTHH flip: 01234567 => THHTHHTT\n", - " 224: THHTHHTT rot: TTHHTHHT flip: 01234 6 => HHTTHHTT\n", - " 225: HHTTHHTT rot: THHTTHHT flip: 01234567 => HTTHHTTH\n", - " 226: HTTHHTTH rot: HHTTHHTT flip: 0 2 4 6 => THHTTHHT\n", - " 227: THHTTHHT rot: HTTHHTTH flip: 01234567 => THHTTHHT\n", - " 228: THHTTHHT rot: HTTHHTTH flip: 01 45 => THTHTHTH\n", - " 229: THTHTHTH rot: THTHTHTH flip: 01234567 => HTHTHTHT\n", - " 230: HTHTHTHT rot: THTHTHTH flip: 0 2 4 6 => HHHHHHHH\n" + " 174: HTTHTTTT rot: TTHTTHTT flip: 0 2 4 6 => HHHTHTTT\n", + " 175: HHHTHTTT rot: THTTTHHH flip: 01234567 => HHHTTTHT\n", + " 176: HHHTTTHT rot: HHHTTTHT flip: 0123 => HTTHTTTT\n", + " 177: HTTHTTTT rot: TTHTTTTH flip: 01234567 => HHHHTHHT\n", + " 178: HHHHTHHT rot: HHTHHTHH flip: 0 2 4 6 => HHHTTTHT\n", + " 179: HHHTTTHT rot: HHHTTTHT flip: 01234567 => HHHTHTTT\n", + " 180: HHHTHTTT rot: TTTHHHTH flip: 01 45 => HHHTHTTT\n", + " 181: HHHTHTTT rot: HTTTHHHT flip: 01234567 => HHHTTTHT\n", + " 182: HHHTTTHT rot: HHTTTHTH flip: 0 2 4 6 => HHHHTHHT\n", + " 183: HHHHTHHT rot: THHHHTHH flip: 01234567 => HTTHTTTT\n", + " 184: HTTHTTTT rot: HTTTTHTT flip: 012 456 => HHTHTHTT\n", + " 185: HHTHTHTT rot: THHTHTHT flip: 01234567 => HHTTHTHT\n", + " 186: HHTTHTHT rot: HTTHTHTH flip: 0 2 4 6 => HHHHHHTT\n", + " 187: HHHHHHTT rot: TTHHHHHH flip: 01234567 => HHTTTTTT\n", + " 188: HHTTTTTT rot: TTTTTTHH flip: 01 45 => HHHHHHTT\n", + " 189: HHHHHHTT rot: HHHHHTTH flip: 01234567 => HHTTTTTT\n", + " 190: HHTTTTTT rot: HHTTTTTT flip: 0 2 4 6 => HHTHTHTT\n", + " 191: HHTHTHTT rot: HTHTTHHT flip: 01234567 => HHTTHTHT\n", + " 192: HHTTHTHT rot: HTHTHHTT flip: 012345 => HTHTTTTT\n", + " 193: HTHTTTTT rot: HTHTTTTT flip: 01234567 => HHHHHTHT\n", + " 194: HHHHHTHT rot: THHHHHTH flip: 0 2 4 6 => HHHHHTHT\n", + " 195: HHHHHTHT rot: HTHTHHHH flip: 01234567 => HTHTTTTT\n", + " 196: HTHTTTTT rot: TTTTHTHT flip: 01 45 => HHTHHTTT\n", + " 197: HHTHHTTT rot: HTHHTTTH flip: 01234567 => HHHTTHTT\n", + " 198: HHHTTHTT rot: HTTHHHTT flip: 0 2 4 6 => HHTHHTTT\n", + " 199: HHTHHTTT rot: THHTHHTT flip: 01234567 => HHHTTHTT\n", + " 200: HHHTTHTT rot: HTTHHHTT flip: 012 456 => HHHTTHTT\n", + " 201: HHHTTHTT rot: HHHTTHTT flip: 01234567 => HHTHHTTT\n", + " 202: HHTHHTTT rot: HTHHTTTH flip: 0 2 4 6 => HHTHHTTT\n", + " 203: HHTHHTTT rot: TTTHHTHH flip: 01234567 => HHHTTHTT\n", + " 204: HHHTTHTT rot: TTHTTHHH flip: 01 45 => HHHHHTHT\n", + " 205: HHHHHTHT rot: HHHHHTHT flip: 01234567 => HTHTTTTT\n", + " 206: HTHTTTTT rot: TTHTHTTT flip: 0 2 4 6 => HTHTTTTT\n", + " 207: HTHTTTTT rot: TTTHTHTT flip: 01234567 => HHHHHTHT\n", + " 208: HHHHHTHT rot: THHHHHTH flip: 0123 => HHTHHTTT\n", + " 209: HHTHHTTT rot: HTTTHHTH flip: 01234567 => HHHTTHTT\n", + " 210: HHHTTHTT rot: TTHHHTTH flip: 0 2 4 6 => HHHTTHTT\n", + " 211: HHHTTHTT rot: HTTHHHTT flip: 01234567 => HHTHHTTT\n", + " 212: HHTHHTTT rot: TTTHHTHH flip: 01 45 => HHHHHTHT\n", + " 213: HHHHHTHT rot: HHHHHTHT flip: 01234567 => HTHTTTTT\n", + " 214: HTHTTTTT rot: THTHTTTT flip: 0 2 4 6 => HHHHHTHT\n", + " 215: HHHHHTHT rot: THTHHHHH flip: 01234567 => HTHTTTTT\n", + " 216: HTHTTTTT rot: HTTTTTHT flip: 012 456 => HHTHHTTT\n", + " 217: HHTHHTTT rot: THHTTTHH flip: 01234567 => HHHTTHTT\n", + " 218: HHHTTHTT rot: THTTHHHT flip: 0 2 4 6 => HHHTTHTT\n", + " 219: HHHTTHTT rot: TTHTTHHH flip: 01234567 => HHTHHTTT\n", + " 220: HHTHHTTT rot: THHTHHTT flip: 01 45 => HTHTTTTT\n", + " 221: HTHTTTTT rot: TTHTHTTT flip: 01234567 => HHHHHTHT\n", + " 222: HHHHHTHT rot: HHHTHTHH flip: 0 2 4 6 => HTHTTTTT\n", + " 223: HTHTTTTT rot: TTTTHTHT flip: 01234567 => HHHHHTHT\n", + " 224: HHHHHTHT rot: THTHHHHH flip: 01234 6 => HHTHTTHT\n", + " 225: HHTHTTHT rot: HTHTTHTH flip: 01234567 => HHTHTTHT\n", + " 226: HHTHTTHT rot: HTTHTHHT flip: 0 2 4 6 => HHHHTTTT\n", + " 227: HHHHTTTT rot: HHTTTTHH flip: 01234567 => HHHHTTTT\n", + " 228: HHHHTTTT rot: TTHHHHTT flip: 01 45 => HHHHTTTT\n", + " 229: HHHHTTTT rot: TTHHHHTT flip: 01234567 => HHHHTTTT\n", + " 230: HHHHTTTT rot: TTHHHHTT flip: 0 2 4 6 => HHTHTTHT\n", + " 231: HHTHTTHT rot: HHTHTTHT flip: 01234567 => HHTHTTHT\n", + " 232: HHTHTTHT rot: HHTHTTHT flip: 012 456 => HHHHTTTT\n", + " 233: HHHHTTTT rot: TTHHHHTT flip: 01234567 => HHHHTTTT\n", + " 234: HHHHTTTT rot: TTHHHHTT flip: 0 2 4 6 => HHTHTTHT\n", + " 235: HHTHTTHT rot: TTHTHHTH flip: 01234567 => HHTHTTHT\n", + " 236: HHTHTTHT rot: THTHHTHT flip: 01 45 => HHTHTTHT\n", + " 237: HHTHTTHT rot: THTHHTHT flip: 01234567 => HHTHTTHT\n", + " 238: HHTHTTHT rot: TTHTHHTH flip: 0 2 4 6 => HHHHTTTT\n", + " 239: HHHHTTTT rot: TTTHHHHT flip: 01234567 => HHHHTTTT\n", + " 240: HHHHTTTT rot: TTTHHHHT flip: 0123 => HHHTHHHT\n", + " 241: HHHTHHHT rot: HHHTHHHT flip: 01234567 => HTTTHTTT\n", + " 242: HTTTHTTT rot: TTHTTTHT flip: 0 2 4 6 => HTTTHTTT\n", + " 243: HTTTHTTT rot: HTTTHTTT flip: 01234567 => HHHTHHHT\n", + " 244: HHHTHHHT rot: HHTHHHTH flip: 01 45 => HTTTHTTT\n", + " 245: HTTTHTTT rot: TTHTTTHT flip: 01234567 => HHHTHHHT\n", + " 246: HHHTHHHT rot: HHHTHHHT flip: 0 2 4 6 => HTTTHTTT\n", + " 247: HTTTHTTT rot: THTTTHTT flip: 01234567 => HHHTHHHT\n", + " 248: HHHTHHHT rot: HHTHHHTH flip: 012 456 => HHTTHHTT\n", + " 249: HHTTHHTT rot: HHTTHHTT flip: 01234567 => HHTTHHTT\n", + " 250: HHTTHHTT rot: HHTTHHTT flip: 0 2 4 6 => HHTTHHTT\n", + " 251: HHTTHHTT rot: HHTTHHTT flip: 01234567 => HHTTHHTT\n", + " 252: HHTTHHTT rot: THHTTHHT flip: 01 45 => HTHTHTHT\n", + " 253: HTHTHTHT rot: HTHTHTHT flip: 01234567 => HTHTHTHT\n", + " 254: HTHTHTHT rot: HTHTHTHT flip: 0 2 4 6 => TTTTTTTT\n", + " 255: TTTTTTTT rot: TTTTTTTT flip: 01234567 => HHHHHHHH\n" ] }, { @@ -1152,7 +1201,7 @@ "'HHHHHHHH'" ] }, - "execution_count": 25, + "execution_count": 26, "metadata": {}, "output_type": "execute_result" } From 2714d19d9e6891de64e25c810d7c7c08cd81827b Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Fri, 12 Jan 2018 21:30:50 -0800 Subject: [PATCH 12/90] Add files via upload --- ipynb/BASIC.ipynb | 407 ++++++++++++++++++++++------------------------ 1 file changed, 195 insertions(+), 212 deletions(-) diff --git a/ipynb/BASIC.ipynb b/ipynb/BASIC.ipynb index 71f7b70..c33033f 100644 --- a/ipynb/BASIC.ipynb +++ b/ipynb/BASIC.ipynb @@ -8,20 +8,18 @@ "\n", "# BASIC Interpreter\n", "\n", - "[Years ago](http://norvig.com/lispy.html), I showed how to write an Interpreter for a dialect of Lisp. Some readers appreciated it, and some asked about an interpreter for a language that isn't just a bunch of parentheses. In 2014 I saw a [celebration](http://time.com/69316/basic/) of the 50th anniversary of the 1964 [Dartmouth BASIC](http://web.archive.org/web/20120716185629/http://www.bitsavers.org/pdf/dartmouth/BASIC_Oct64.pdf) interpreter, and thought that I could show how to implement such an interpreter. I never quite finished in 2014, but in 2017 I rediscovered my unfinished file and completed it. For those of you unfamiliar with BASIC, here is a sample program:" + "[Years ago](http://norvig.com/lispy.html), I showed how to write an Interpreter for a dialect of Lisp. Some readers appreciated it, and some asked about an interpreter for a language that isn't just a bunch of parentheses. In 2014 I saw a [celebration](http://time.com/69316/basic/) of the 50th anniversary of the 1964 [Dartmouth BASIC](http://web.archive.org/web/20120716185629/http://www.bitsavers.org/pdf/dartmouth/BASIC_Oct64.pdf) interpreter, and thought that I could show how to implement such an interpreter. I never quite finished in 2014, but now it is 2017, I rediscovered this unfinished file, and completed it. For those of you unfamiliar with BASIC, here is a sample program:" ] }, { "cell_type": "code", "execution_count": 1, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "program = '''\n", "10 REM POWER TABLE\n", - "11 DATA 8, 4\n", + "11 DATA 8, 4\n", "15 READ N0, P0\n", "20 PRINT \"N\",\n", "25 FOR P = 2 to P0\n", @@ -47,8 +45,9 @@ "source": [ "Of course I don't have to build everything from scratch in assembly language, and I don't have to worry about every byte of storage, like [Kemeny](http://www.dartmouth.edu/basicfifty/basic.html), [Gates](http://www.pagetable.com/?p=774), and [Woz](http://www.retrothing.com/2008/07/restoring-wozs.html) did, so my job is much easier. The interpreter consists of three phases: \n", "* **Tokenization**: breaking a text into a list of tokens, for example: `\"10 READ N\"` becomes `['10', 'READ', 'N']`.\n", - "* **Parsing**: building an executable representation from the tokens, so this statement becomes: `Stmt(num=10, typ='READ', args=['N'])`.\n", - "* **Execution**: follow the flow of the program and do what each statement says; in this case an assignment: `variables['N'] = data.popleft()`.\n", + "* **Parsing**: building a representation from the tokens: `Stmt(num=10, typ='READ', args=['N'])`.\n", + "* **Execution**: follow the flow of the program and do what each statement says; in this case the `READ` statement\n", + "has the effect of an assignment: `variables['N'] = data.popleft()`.\n", "\n", "\n", "\n", @@ -60,9 +59,7 @@ { "cell_type": "code", "execution_count": 2, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "import re \n", @@ -73,7 +70,7 @@ " LET|READ|DATA|PRINT|GOTO|IF|FOR|NEXT|END|STOP | # keywords\n", " DEF|GOSUB|RETURN|DIM|REM|TO|THEN|STEP | # more keywords\n", " [A-Z]\\d? | # variable names (letter optionally followed by a digit)\n", - " \" .*? \" | # labels (strings in double quotes)\n", + " \".*? \" | # labels (strings in double quotes)\n", " <>|>=|<= | # multi-character relational operators\n", " \\S # any non-space single character ''', \n", " re.VERBOSE).findall" @@ -90,9 +87,7 @@ { "cell_type": "code", "execution_count": 3, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -112,9 +107,7 @@ { "cell_type": "code", "execution_count": 4, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -133,9 +126,7 @@ }, { "cell_type": "markdown", - "metadata": { - "collapsed": false - }, + "metadata": {}, "source": [ "That looks good. Note that my tokens are just strings; it will be the parser's job, not the tokenizer's, to recognize that `'2'` is a number and `'X'` is the name of a variable. (In some interpreters, the tokenizer makes distinctions like these.)\n", "\n", @@ -151,9 +142,7 @@ { "cell_type": "code", "execution_count": 5, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -180,15 +169,13 @@ "* `peek()`: returns the next token in `tokens` (without changing `tokens`), or `None` if there are no more tokens.\n", "* `pop()`: removes and returns the next token. \n", "* `pop(`*string*`)`: removes and returns the next token if it is equal to the string; else return `None` and leave `tokens` unchanged.\n", - "* `pop(`*predicate*`)`: removes and returns the next token if *predicate*(*token*) is true; else return `None` and leave `tokens` unchanged." + "* `pop(`*predicate*`)`: remove and return the next token if *predicate*(*token*) is true; else return `None`, leave `tokens` alone." ] }, { "cell_type": "code", "execution_count": 6, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "tokens = [] # Global variable to hold a list of tokens\n", @@ -202,9 +189,10 @@ " return (tokens[0] if tokens else None)\n", "\n", "def pop(constraint=None):\n", - " \"\"\"Remove and return the first token in `tokens`, or return None if first token fails a constraint.\n", - " `constraint` can be None, a literal string (e.g. pop('=')), or a predicate (e.g. pop(is_varname)).\"\"\"\n", - " if constraint is None or (peek() == constraint) or (callable(constraint) and constraint(peek())):\n", + " \"\"\"Remove and return the first token in `tokens`, or return None if token fails constraint.\n", + " constraint can be None, a literal (e.g. pop('=')), or a predicate (e.g. pop(is_varname)).\"\"\"\n", + " top = peek()\n", + " if constraint is None or (top == constraint) or (callable(constraint) and constraint(top)):\n", " return tokens.pop(0)\n", " \n", "def remove_spaces(line): \n", @@ -228,9 +216,7 @@ { "cell_type": "code", "execution_count": 7, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -255,11 +241,12 @@ " ['100', 'IF', 'X1', '+', '123.4', '+', 'E1', '-', '12.3E4', '<>', \n", " '1.2E-34', '*', '-', '12E34', '+', '1', '+', '\"HI\"', 'THEN', '99'])\n", " assert remove_spaces('10 GO TO 99') == '10GOTO99'\n", - " assert remove_spaces('100 PRINT \"HELLO WORLD\", SIN(X) ^ 2') == '100PRINT\"HELLO WORLD\",SIN(X)^2'\n", + " assert (remove_spaces('100 PRINT \"HELLO WORLD\", SIN(X) ^ 2')\n", + " == '100PRINT\"HELLO WORLD\",SIN(X)^2')\n", " assert lines('one line') == ['one line']\n", " assert lines(program) == [\n", " '10 REM POWER TABLE',\n", - " '11 DATA 8, 4',\n", + " '11 DATA 8, 4',\n", " '15 READ N0, P0',\n", " '20 PRINT \"N\",',\n", " '25 FOR P = 2 to P0',\n", @@ -313,6 +300,43 @@ "test_tokenizer()" ] }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['10 REM POWER TABLE',\n", + " '11 DATA 8, 4',\n", + " '15 READ N0, P0',\n", + " '20 PRINT \"N\",',\n", + " '25 FOR P = 2 to P0',\n", + " '30 PRINT \"N ^\" P,',\n", + " '35 NEXT P',\n", + " '40 PRINT \"SUM\"',\n", + " '45 LET S = 0',\n", + " '50 FOR N = 2 TO N0',\n", + " '55 PRINT N,',\n", + " '60 FOR P = 2 TO P0',\n", + " '65 LET S = S + N ^ P',\n", + " '70 PRINT N ^ P,',\n", + " '75 NEXT P',\n", + " '80 PRINT S',\n", + " '85 NEXT N',\n", + " '99 END']" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "lines(program)" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -347,10 +371,8 @@ }, { "cell_type": "code", - "execution_count": 8, - "metadata": { - "collapsed": false - }, + "execution_count": 9, + "metadata": {}, "outputs": [], "source": [ "def Grammar(): \n", @@ -408,7 +430,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 10, "metadata": { "collapsed": true }, @@ -419,11 +441,11 @@ " num = linenumber()\n", " typ = pop(is_stmt_type) or fail('unknown statement type')\n", " args = []\n", - " for c in grammar[typ]: # For each constituent of rule, call if callable or match if literal string\n", - " if callable(c):\n", - " args.append(c())\n", + " for p in grammar[typ]: # For each part of rule, call if callable or match if literal string\n", + " if callable(p):\n", + " args.append(p())\n", " else:\n", - " pop(c) or fail('expected ' + repr(c))\n", + " pop(p) or fail('expected ' + repr(p))\n", " return Stmt(num, typ, args)" ] }, @@ -436,19 +458,17 @@ }, { "cell_type": "code", - "execution_count": 10, - "metadata": { - "collapsed": false - }, + "execution_count": 11, + "metadata": {}, "outputs": [], "source": [ "def linenumber(): return (int(pop()) if peek().isnumeric() else fail('missing line number'))\n", - "def number(): return (-1 if pop('-') else +1) * float(pop()) # Optional minus sign before number\n", + "def number(): return (-1 if pop('-') else +1) * float(pop()) # Optional minus sign\n", "def step(): return (expression() if pop('STEP') else 1) # 1 is the default step\n", "def relational(): return pop(is_relational) or fail('expected a relational operator')\n", "def varname(): return pop(is_varname) or fail('expected a variable name')\n", "def funcname(): return pop(is_funcname) or fail('expected a function name')\n", - "def anycharacters(): tokens.clear() # The tokens in a REM statement don't matter, so just clear them" + "def anycharacters(): tokens.clear() # Ignore tokens in a REM statement" ] }, { @@ -460,18 +480,20 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 12, "metadata": { "collapsed": true }, "outputs": [], "source": [ - "def is_stmt_type(x): return isinstance(x, str) and x in grammar # LET, READ, ...\n", - "def is_funcname(x): return isinstance(x, str) and len(x) == 3 and x.isalpha() # SIN, COS, FNA, FNB, ...\n", - "def is_varname(x): return isinstance(x, str) and len(x) in (1, 2) and x[0].isalpha() # A, A1, A2, B, ...\n", - "def is_label(x): return isinstance(x, str) and x.startswith('\"') # \"HELLO WORLD\", ...\n", - "def is_relational(x): return isinstance(x, str) and x in ('<', '=', '>', '<=', '<>', '>=')\n", - "def is_number(x): return isinstance(x, str) and x and x[0] in '.0123456789' # '3', '.14', ..." + "def is_stmt_type(x): return is_str(x) and x in grammar # LET, READ, ...\n", + "def is_funcname(x): return is_str(x) and len(x) == 3 and x.isalpha() # SIN, COS, FNA, FNB, ...\n", + "def is_varname(x): return is_str(x) and len(x) in (1, 2) and x[0].isalpha() # A, A1, A2, B, ...\n", + "def is_label(x): return is_str(x) and x.startswith('\"') # \"HELLO WORLD\", ...\n", + "def is_relational(x): return is_str(x) and x in ('<', '=', '>', '<=', '<>', '>=')\n", + "def is_number(x): return is_str(x) and x and x[0] in '.0123456789' # '3', '.14', ...\n", + "\n", + "def is_str(x): return isinstance(x, str)" ] }, { @@ -483,10 +505,8 @@ }, { "cell_type": "code", - "execution_count": 12, - "metadata": { - "collapsed": false - }, + "execution_count": 13, + "metadata": {}, "outputs": [], "source": [ "def variable(): \n", @@ -509,7 +529,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 14, "metadata": { "collapsed": true }, @@ -536,7 +556,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 15, "metadata": { "collapsed": true }, @@ -556,10 +576,8 @@ }, { "cell_type": "code", - "execution_count": 15, - "metadata": { - "collapsed": true - }, + "execution_count": 16, + "metadata": {}, "outputs": [], "source": [ "def parse_line(line):\n", @@ -572,8 +590,8 @@ " return stmt\n", " except SyntaxError as err:\n", " print(\"Error in line '{}' at '{}': {}\".format(line, ' '.join(tokens), err))\n", - " return Stmt(0, 'REM', []) # Have to return something: a dummy statement\n", - " \n", + " return Stmt(0, 'REM', []) # Return dummy statement\n", + " \n", "def fail(message): raise SyntaxError(message)" ] }, @@ -588,7 +606,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 17, "metadata": { "collapsed": true }, @@ -596,14 +614,14 @@ "source": [ "from collections import namedtuple, defaultdict, deque\n", "\n", - "Stmt = namedtuple('Stmt', 'num, typ, args') # Statement: '20 GOTO 99' => Stmt(20, 'GOTO', 99)\n", - "Subscript = namedtuple('Subscript', 'var, indexes') # Subscripted reference: 'A(I)' => Subscript('A', ['I'])\n", - "Funcall = namedtuple('Funcall', 'f, x') # Function call: 'SQR(X)' => Funcall('SQR', 'X')\n", - "Opcall = namedtuple('Opcall', 'x, op, y') # Infix operation: 'X + 1' => Opcall('X', '+', 1)\n", - "ForState = namedtuple('ForState', 'continu, end, step') # Data used to control a FOR loop variable\n", + "Stmt = namedtuple('Stmt', 'num, typ, args') # '1 GOTO 9' => Stmt(1, 'GOTO', 9)\n", + "Subscript = namedtuple('Subscript', 'var, indexes') # 'A(I)' => Subscript('A', ['I'])\n", + "Funcall = namedtuple('Funcall', 'f, x') # 'SQR(X)' => Funcall('SQR', 'X')\n", + "Opcall = namedtuple('Opcall', 'x, op, y') # 'X + 1' => Opcall('X', '+', 1)\n", + "ForState = namedtuple('ForState', 'continu, end, step') # Data for FOR loop \n", "\n", "class Function(namedtuple('_', 'parm, body')):\n", - " \"User-defined callable function; 'DEF FNC(X) = X ^ 3' => functions['FNC'] = Function('X', Opcall('X', '^', 3))\"\n", + " \"User-defined function; 'DEF FNC(X) = X ^ 3' => Function('X', Opcall('X', '^', 3))\"\n", " def __call__(self, value): \n", " variables[self.parm] = value # Global assignment to the parameter\n", " return evalu(self.body)" @@ -651,7 +669,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 18, "metadata": { "collapsed": true }, @@ -692,10 +710,8 @@ }, { "cell_type": "code", - "execution_count": 18, - "metadata": { - "collapsed": false - }, + "execution_count": 19, + "metadata": {}, "outputs": [], "source": [ "def expression(prec=1): \n", @@ -724,9 +740,11 @@ " else:\n", " return fail('unknown expression')\n", "\n", - "def precedence(op): return (3 if op == '^' else 2 if op in ('*', '/') else 1 if op in ('+', '-') else 0)\n", + "def precedence(op): \n", + " return (3 if op == '^' else 2 if op in ('*', '/') else 1 if op in ('+', '-') else 0)\n", "\n", - "def associativity(op): return (0 if op == '^' else 1)" + "def associativity(op): \n", + " return (0 if op == '^' else 1)" ] }, { @@ -740,10 +758,8 @@ }, { "cell_type": "code", - "execution_count": 19, - "metadata": { - "collapsed": false - }, + "execution_count": 20, + "metadata": {}, "outputs": [ { "data": { @@ -768,7 +784,7 @@ " Stmt(num=99, typ='END', args=[])]" ] }, - "execution_count": 19, + "execution_count": 20, "metadata": {}, "output_type": "execute_result" } @@ -788,10 +804,8 @@ }, { "cell_type": "code", - "execution_count": 20, - "metadata": { - "collapsed": false - }, + "execution_count": 21, + "metadata": {}, "outputs": [ { "data": { @@ -799,17 +813,17 @@ "'ok'" ] }, - "execution_count": 20, + "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "def test_parse(text, result, category=expression):\n", - " \"Test that text can be parsed as a category to yield the semantic result, with no tokens left over.\"\n", + "def test_exp(text, repr):\n", + " \"Test that text can be parsed as an expression to yield repr, with no tokens left over.\"\n", " global tokens\n", " tokens = tokenizer(text)\n", - " return category() == result and not tokens\n", + " return (expression() == repr) and not tokens\n", " \n", "def test_parser():\n", " assert is_funcname('SIN') and is_funcname('FNZ') # Function names are three letters\n", @@ -818,16 +832,17 @@ " assert not is_varname('FNZ') and not is_varname('A10') and not is_varname('')\n", " assert is_relational('>') and is_relational('>=') and not is_relational('+')\n", " \n", - " assert test_parse('A + B * X + C', Opcall(Opcall('A', '+', Opcall('B', '*', 'X')), '+', 'C'))\n", - " assert test_parse('A + B + X + C', Opcall(Opcall(Opcall('A', '+', 'B'), '+', 'X'), '+', 'C'))\n", - " assert test_parse('SIN(X)^2', Opcall(Funcall('SIN', 'X'), '^', 2))\n", - " assert test_parse('10 ^ 2 ^ 3', Opcall(10, '^', Opcall(2, '^', 3))) # right associative\n", - " assert test_parse('10 - 2 - 3', Opcall(Opcall(10, '-', 2), '-', 3)) # left associative\n", - " assert test_parse('A(I)+M(I, J)', Opcall(Subscript(var='A', indexes=['I']), '+', \n", - " Subscript(var='M', indexes=['I', 'J'])))\n", - " assert test_parse('X * -1', Opcall('X', '*', Funcall('NEG', 1.0)))\n", - " assert test_parse('X--Y--Z', Opcall(Opcall('X', '-', Funcall('NEG', 'Y')), '-', Funcall('NEG', 'Z')))\n", - " assert test_parse('((((X))))', 'X')\n", + " assert test_exp('A + B * X + C', Opcall(Opcall('A', '+', Opcall('B', '*', 'X')), '+', 'C'))\n", + " assert test_exp('A + B + X + C', Opcall(Opcall(Opcall('A', '+', 'B'), '+', 'X'), '+', 'C'))\n", + " assert test_exp('SIN(X)^2', Opcall(Funcall('SIN', 'X'), '^', 2))\n", + " assert test_exp('10 ^ 2 ^ 3', Opcall(10, '^', Opcall(2, '^', 3))) # right associative\n", + " assert test_exp('10 - 2 - 3', Opcall(Opcall(10, '-', 2), '-', 3)) # left associative\n", + " assert test_exp('A(I)+M(I, J)', Opcall(Subscript(var='A', indexes=['I']), '+', \n", + " Subscript(var='M', indexes=['I', 'J'])))\n", + " assert test_exp('X * -1', Opcall('X', '*', Funcall('NEG', 1.0)))\n", + " assert test_exp('X--Y--Z', Opcall(Opcall('X', '-', Funcall('NEG', 'Y')), \n", + " '-', Funcall('NEG', 'Z')))\n", + " assert test_exp('((((X))))', 'X')\n", " return 'ok'\n", "\n", "test_parser()" @@ -844,7 +859,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 22, "metadata": { "collapsed": true }, @@ -881,10 +896,8 @@ }, { "cell_type": "code", - "execution_count": 22, - "metadata": { - "collapsed": false - }, + "execution_count": 23, + "metadata": {}, "outputs": [], "source": [ "def execute(stmts): \n", @@ -944,10 +957,8 @@ }, { "cell_type": "code", - "execution_count": 23, - "metadata": { - "collapsed": false - }, + "execution_count": 24, + "metadata": {}, "outputs": [], "source": [ "import math\n", @@ -1040,10 +1051,8 @@ }, { "cell_type": "code", - "execution_count": 24, - "metadata": { - "collapsed": false - }, + "execution_count": 25, + "metadata": {}, "outputs": [], "source": [ "def basic_print(items): \n", @@ -1082,10 +1091,8 @@ }, { "cell_type": "code", - "execution_count": 25, - "metadata": { - "collapsed": false - }, + "execution_count": 26, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -1093,7 +1100,7 @@ "text": [ "\n", "10 REM POWER TABLE\n", - "11 DATA 8, 4\n", + "11 DATA 8, 4\n", "15 READ N0, P0\n", "20 PRINT \"N\",\n", "25 FOR P = 2 to P0\n", @@ -1120,9 +1127,8 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 27, "metadata": { - "collapsed": false, "scrolled": true }, "outputs": [ @@ -1149,7 +1155,7 @@ " Stmt(num=99, typ='END', args=[])]" ] }, - "execution_count": 26, + "execution_count": 27, "metadata": {}, "output_type": "execute_result" } @@ -1160,10 +1166,8 @@ }, { "cell_type": "code", - "execution_count": 27, - "metadata": { - "collapsed": false - }, + "execution_count": 28, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -1197,10 +1201,8 @@ }, { "cell_type": "code", - "execution_count": 28, - "metadata": { - "collapsed": false - }, + "execution_count": 29, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -1237,10 +1239,8 @@ }, { "cell_type": "code", - "execution_count": 29, - "metadata": { - "collapsed": false - }, + "execution_count": 30, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -1277,10 +1277,8 @@ }, { "cell_type": "code", - "execution_count": 30, - "metadata": { - "collapsed": false - }, + "execution_count": 31, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -1306,10 +1304,8 @@ }, { "cell_type": "code", - "execution_count": 31, - "metadata": { - "collapsed": false - }, + "execution_count": 32, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -1369,10 +1365,8 @@ }, { "cell_type": "code", - "execution_count": 32, - "metadata": { - "collapsed": false - }, + "execution_count": 33, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -1401,10 +1395,8 @@ }, { "cell_type": "code", - "execution_count": 33, - "metadata": { - "collapsed": false - }, + "execution_count": 34, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -1455,39 +1447,37 @@ }, { "cell_type": "code", - "execution_count": 34, - "metadata": { - "collapsed": false - }, + "execution_count": 35, + "metadata": {}, "outputs": [ { "data": { "text/plain": [ "defaultdict(float,\n", - " {'J': 5.0,\n", - " ('S', (1.0, 1.0)): 40.0,\n", - " ('S', (2.0, 4.0)): 21.0,\n", - " ('P', (1.0,)): 1.25,\n", - " ('S', (3.0, 2.0)): 47.0,\n", - " ('S', (2.0, 2.0)): 16.0,\n", - " ('S', (3.0, 3.0)): 29.0,\n", + " {('P', (1.0,)): 1.25,\n", " ('S', (3.0, 5.0)): 33.0,\n", - " ('S', (1.0, 5.0)): 42.0,\n", " ('S', (3.0, 4.0)): 16.0,\n", - " 'I': 3.0,\n", + " ('S', (1.0, 5.0)): 42.0,\n", + " ('S', (2.0, 1.0)): 10.0,\n", " ('P', (3.0,)): 2.5,\n", " ('S', (1.0, 4.0)): 29.0,\n", - " ('S', (2.0, 3.0)): 3.0,\n", - " ('S', (1.0, 3.0)): 37.0,\n", - " ('S', (2.0, 1.0)): 10.0,\n", " ('S', (1.0, 2.0)): 20.0,\n", - " ('S', (2.0, 5.0)): 8.0,\n", " ('S', (3.0, 1.0)): 35.0,\n", + " 'I': 3.0,\n", + " ('S', (2.0, 4.0)): 21.0,\n", + " ('P', (2.0,)): 4.3,\n", + " ('S', (2.0, 5.0)): 8.0,\n", + " ('S', (1.0, 1.0)): 40.0,\n", + " ('S', (3.0, 3.0)): 29.0,\n", + " 'J': 5.0,\n", + " ('S', (3.0, 2.0)): 47.0,\n", " 'S': 169.4,\n", - " ('P', (2.0,)): 4.3})" + " ('S', (2.0, 2.0)): 16.0,\n", + " ('S', (2.0, 3.0)): 3.0,\n", + " ('S', (1.0, 3.0)): 37.0})" ] }, - "execution_count": 34, + "execution_count": 35, "metadata": {}, "output_type": "execute_result" } @@ -1498,19 +1488,17 @@ }, { "cell_type": "code", - "execution_count": 35, - "metadata": { - "collapsed": false - }, + "execution_count": 36, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "6 3 2 6 9 0 0 3 3 6 9 2 7 9 1 2 1 4 4 1 2 7 3 7 8 \n", - "5 2 5 4 4 9 7 7 0 5 4 9 7 7 5 5 4 9 3 8 6 2 6 4 5 \n", - "8 7 6 0 3 4 1 4 2 2 8 1 1 9 2 4 0 1 0 2 1 3 4 0 2 \n", - "9 0 2 7 4 1 8 4 3 2 8 3 9 3 9 3 2 4 6 8 9 0 9 5 9 \n" + "7 2 8 4 9 1 9 8 0 8 3 0 3 4 5 6 4 2 1 6 9 9 9 7 5 \n", + "8 4 1 5 9 9 7 5 5 7 2 0 3 2 1 2 1 8 3 9 9 3 0 0 2 \n", + "2 8 9 7 5 8 9 0 2 7 8 6 7 4 9 9 4 2 5 4 0 9 6 5 3 \n", + "3 3 5 1 7 1 6 1 0 7 3 5 8 1 9 0 4 7 1 7 4 5 1 7 6 \n" ] } ], @@ -1527,10 +1515,8 @@ }, { "cell_type": "code", - "execution_count": 36, - "metadata": { - "collapsed": false - }, + "execution_count": 37, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -1564,10 +1550,8 @@ }, { "cell_type": "code", - "execution_count": 37, - "metadata": { - "collapsed": false - }, + "execution_count": 38, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -1602,10 +1586,8 @@ }, { "cell_type": "code", - "execution_count": 38, - "metadata": { - "collapsed": false - }, + "execution_count": 39, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -1632,10 +1614,8 @@ }, { "cell_type": "code", - "execution_count": 39, - "metadata": { - "collapsed": false - }, + "execution_count": 40, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -1668,10 +1648,8 @@ }, { "cell_type": "code", - "execution_count": 40, - "metadata": { - "collapsed": false - }, + "execution_count": 41, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -1730,22 +1708,18 @@ }, { "cell_type": "markdown", - "metadata": { - "collapsed": false - }, + "metadata": {}, "source": [ "# Final Program\n", "\n", "Now for a final, longer example, Conway's Game of [Life](https://en.wikipedia.org/wiki/Conway's_Game_of_Life),\n", - "which shows that BASIC is capable of handling a non-trivial problem—but I wouldn't want to rely on it for anything much bigger. This should give us some added confidence in the validity of the interpreter, but I would say the interpreter needs more work before I would trust it. I hope you found working through the interpreter informative, and maybe you have ideas for how to improve it, or to develop an interpreter for another language." + "which shows that BASIC is capable of handling a non-trivial problem—but I wouldn't want to rely on it for anything much bigger. This should give us some added confidence in the validity of the interpreter, but I would say the interpreter needs more work before I would trust it. I hope you found working through the interpreter infortative, and maybe you have ideas for how to improve it, or to develop an interpreter for another language." ] }, { "cell_type": "code", - "execution_count": 41, - "metadata": { - "collapsed": false - }, + "execution_count": 42, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -1931,6 +1905,15 @@ "999 END \n", "''')" ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] } ], "metadata": { @@ -1949,9 +1932,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.5.1" + "version": "3.5.3" } }, "nbformat": 4, - "nbformat_minor": 0 + "nbformat_minor": 1 } From 7c28fe10c2a67c64a866b8b32ee0b4197997392c Mon Sep 17 00:00:00 2001 From: ghurley Date: Wed, 17 Jan 2018 18:57:40 -0800 Subject: [PATCH 13/90] Typo in "South Africa" --- ipynb/Economics.ipynb | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/ipynb/Economics.ipynb b/ipynb/Economics.ipynb index 340bd83..fe053cd 100644 --- a/ipynb/Economics.ipynb +++ b/ipynb/Economics.ipynb @@ -69,7 +69,7 @@ "Switzerland 0.337\n", "United States 0.408\n", "Chile 0.521\n", - "South Africe 0.631\n", + "South Africa 0.631\n", "\n", "\n", "\n", From 60f480776b49383385670dba48f30ecd68220fb7 Mon Sep 17 00:00:00 2001 From: ghurley Date: Wed, 17 Jan 2018 19:22:56 -0800 Subject: [PATCH 14/90] Typo and tiny code change for clarity Code change conforms to style used in later portions of the notebook. --- ipynb/Economics.ipynb | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/ipynb/Economics.ipynb b/ipynb/Economics.ipynb index 340bd83..138cfb9 100644 --- a/ipynb/Economics.ipynb +++ b/ipynb/Economics.ipynb @@ -48,7 +48,7 @@ "N = 5000 # Default size of the population\n", "MU = 100. # Default mean of the population\n", "\n", - "population = [random.gauss(mu=MU, sigma=MU/5) for actor in range(N)]" + "population = [random.gauss(mu=MU, sigma=MU/5) for _ in range(N)]" ] }, { @@ -182,7 +182,7 @@ "outputs": [], "source": [ "def random_split(A, B):\n", - " \"Take all the money uin the pot and divide it randomly between the two actors.\"\n", + " \"Take all the money in the pot and divide it randomly between the two actors.\"\n", " pot = A + B\n", " share = random.uniform(0, pot)\n", " return share, pot - share" From f2e88cb0cc6fae9686480ad2969b8dd8cccc380a Mon Sep 17 00:00:00 2001 From: ghurley Date: Wed, 17 Jan 2018 19:42:09 -0800 Subject: [PATCH 15/90] Some minor style/reference changes I attempted the indent the description of the different graphs so that the following paragraph about the conclusions doesn't look like it's a second paragraph about the last graph. I'm not sure it will render correctly because github is not clever enough about displaying the preview for changes to an ipython notebook. I also changed the colors described since they don't match what I see on github but it's possible there's a color rendering difference that's going to be hard to pin down. Lastly, I changed the number on the description of the simulation to match what's shown in the tables and graphs. --- ipynb/Economics.ipynb | 6 ++++-- 1 file changed, 4 insertions(+), 2 deletions(-) diff --git a/ipynb/Economics.ipynb b/ipynb/Economics.ipynb index 340bd83..1c26f53 100644 --- a/ipynb/Economics.ipynb +++ b/ipynb/Economics.ipynb @@ -452,6 +452,7 @@ "source": [ "There are four parts to this output:\n", "\n", + "
", "**The printout:** For the starting population and for every 20,000 transactions along the way, we \n", "print the Gini coefficient and standard deviation of the population, and the wealths at five percentile points in the population: the 1%, 10%, 50% (median), 90% and 99% marks.\n", "\n", @@ -461,11 +462,12 @@ "\n", "**The ordered curves:** Here the initial (blue) and final (green) populations are sorted, and the curves show wealth versus ordinal number. The poorest actor (ordinal number 0) has wealth 0 in both the initial and final populations. The 2000th poorest actor (a bit below the median; at the 40th percentile) has wealth of almost 100 in the initial population, but only about 50 in the final population.\n", "\n", - "The results show that income inequality is increasing over time. How can you tell? Because the Gini coefficient is increasing over time, the standard deviation is increasing, and the 1% and 10% marks are decreasing (the blue and olive lines are moving left as time increases) while the 90% and 99% marks are increasing (the aqua and purple lines are moving right as time increases).\n", + "
", + "The results show that income inequality is increasing over time. How can you tell? Because the Gini coefficient is increasing over time, the standard deviation is increasing, and in the Percentile Plots, the 1% and 10% marks are decreasing (the green and orange lines are moving left as time increases) while the 90% and 99% marks are increasing (the aqua and purple lines are moving right as time increases).\n", "\n", "\n", "\n", - "Would the population continue to change if we let the simulation run longer? It looks like only the 1% line is changing, the other lines remain pretty much in one place from about T=15,000 to T=25,000. This suggests that running the simulation longer would not have too much effect." + "Would the population continue to change if we let the simulation run longer? It looks like only the 1% line is changing, the other lines remain pretty much in one place from about T=15,000 to T=200,000. This suggests that running the simulation longer would not have too much effect." ] }, { From 8f7bf1bf06b08447c428cfde9b704b10a939ee47 Mon Sep 17 00:00:00 2001 From: ghurley Date: Thu, 18 Jan 2018 20:40:14 -0800 Subject: [PATCH 16/90] Revert "Some minor style/reference changes" --- ipynb/Economics.ipynb | 6 ++---- 1 file changed, 2 insertions(+), 4 deletions(-) diff --git a/ipynb/Economics.ipynb b/ipynb/Economics.ipynb index 8c884dd..287f651 100644 --- a/ipynb/Economics.ipynb +++ b/ipynb/Economics.ipynb @@ -452,7 +452,6 @@ "source": [ "There are four parts to this output:\n", "\n", - "
", "**The printout:** For the starting population and for every 20,000 transactions along the way, we \n", "print the Gini coefficient and standard deviation of the population, and the wealths at five percentile points in the population: the 1%, 10%, 50% (median), 90% and 99% marks.\n", "\n", @@ -462,12 +461,11 @@ "\n", "**The ordered curves:** Here the initial (blue) and final (green) populations are sorted, and the curves show wealth versus ordinal number. The poorest actor (ordinal number 0) has wealth 0 in both the initial and final populations. The 2000th poorest actor (a bit below the median; at the 40th percentile) has wealth of almost 100 in the initial population, but only about 50 in the final population.\n", "\n", - "
", - "The results show that income inequality is increasing over time. How can you tell? Because the Gini coefficient is increasing over time, the standard deviation is increasing, and in the Percentile Plots, the 1% and 10% marks are decreasing (the green and orange lines are moving left as time increases) while the 90% and 99% marks are increasing (the aqua and purple lines are moving right as time increases).\n", + "The results show that income inequality is increasing over time. How can you tell? Because the Gini coefficient is increasing over time, the standard deviation is increasing, and the 1% and 10% marks are decreasing (the blue and olive lines are moving left as time increases) while the 90% and 99% marks are increasing (the aqua and purple lines are moving right as time increases).\n", "\n", "\n", "\n", - "Would the population continue to change if we let the simulation run longer? It looks like only the 1% line is changing, the other lines remain pretty much in one place from about T=15,000 to T=200,000. This suggests that running the simulation longer would not have too much effect." + "Would the population continue to change if we let the simulation run longer? It looks like only the 1% line is changing, the other lines remain pretty much in one place from about T=15,000 to T=25,000. This suggests that running the simulation longer would not have too much effect." ] }, { From da2be90384844f84487ef5c4b520f751fece0bfb Mon Sep 17 00:00:00 2001 From: polonez Date: Sun, 21 Jan 2018 15:32:21 +0900 Subject: [PATCH 17/90] Fix typo: remove duplicate --- ipynb/TSP.ipynb | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/ipynb/TSP.ipynb b/ipynb/TSP.ipynb index 7e75acb..84af5c5 100644 --- a/ipynb/TSP.ipynb +++ b/ipynb/TSP.ipynb @@ -1459,7 +1459,7 @@ "metadata": {}, "source": [ "Note: Each time we develop a new algorithm, we would like to compare its performance to some standard old algorithms.\n", - "The use of `@functools.lru_cache` here means that we don't need to to re-run the old algorithms on a standard data set each time; we can just cache the old results. \n", + "The use of `@functools.lru_cache` here means that we don't need to re-run the old algorithms on a standard data set each time; we can just cache the old results. \n", "\n", "We can use `benchmark` to see the average call to the absolute value function takes less than a microsecond:" ] From 75212cabe8ce7bf4379b56431b558b7bc1ae07ae Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Sun, 4 Feb 2018 21:19:44 -0800 Subject: [PATCH 18/90] Update README.md --- README.md | 14 ++++++++++---- 1 file changed, 10 insertions(+), 4 deletions(-) diff --git a/README.md b/README.md index 89c4025..b7a787f 100644 --- a/README.md +++ b/README.md @@ -22,6 +22,15 @@ Some are in Jupyter (IPython) notebooks, some in `.py` files. You can view the f |[When Cheryl Met Eve: A Birthday Story](https://github.com/norvig/pytudes/blob/master/ipynb/Cheryl-and-Eve.ipynb)
*Inventing new puzzles in the Style of Cheryl's Birthday.*| |[Sol Golomb's Rectangle Puzzle](https://github.com/norvig/pytudes/blob/master/ipynb/Golomb-Puzzle.ipynb)
*A Puzzle involving placing rectangles of different sizes inside a square. Bonus: cryptarithmetic.*| |[WWW: Will Warriors Win?](https://github.com/norvig/pytudes/blob/master/ipynb/WWW.ipynb)
*Golden State Warriors probability of winning the 2016 NBA title.*| +|[The Riddler: Battle Royale](https://github.com/norvig/pytudes/blob/master/ipynb/Riddler%20Battle%20Royale.ipynb)
*A puzzle involving allocating your troops and going up against an opponent.*| + +|More Serious Math Stuff| +|---| +|[A Concrete Introduction to Probability](https://github.com/norvig/pytudes/blob/master/ipynb/Probability.ipynb)
*Code and examples of the basic principles of Probability Theory.*| +|[Probability, Paradox, and the Reasonable Person Principle](https://github.com/norvig/pytudes/blob/master/ipynb/ProbabilityParadox.ipynb)
*Some classic paradoxes in Probability Theory, and how to think about disagreements.*| +|[Symbolic Algebra, Simplification, and Differentiation](https://github.com/norvig/pytudes/blob/master/ipynb/Differentiation.ipynb)
*A computer algebra system to manipulate expressions. including symbolic differentiation.*| +|[Economics Simulation](https://github.com/norvig/pytudes/blob/master/ipynb/Economics.ipynb)
*A simulation of a simple economic game.*| +|[How to Count Things](https://github.com/norvig/pytudes/blob/master/ipynb/How%20To%20Count%20Things.ipynb)
*Combinatorial math: how to count how many things there are, when there are a lot of them.*| |Word Games| |---| @@ -36,15 +45,12 @@ Some are in Jupyter (IPython) notebooks, some in `.py` files. You can view the f |Computer Science Algorithms, Concepts, and Problems| |---| -|[A Chaos Game with Triangles](https://github.com/norvig/pytudes/blob/master/ipynb/Sierpinski.ipynb)
*A surprising appearance of the Sierpinski triangle in a random walk between vertexes.*| |[BASIC Interpreter](https://github.com/norvig/pytudes/blob/master/ipynb/BASIC.ipynb)
*How to write an interpreter for the BASIC programming language.*| |[Bad Grade, Good Experience](https://github.com/norvig/pytudes/blob/master/ipynb/Snobol.ipynb)
*As a student, did you ever get a bad grade on a programming assignment? (Snobol, Concordance)*| |[Conway's Game of Life](https://github.com/norvig/pytudes/blob/master/ipynb/Life.ipynb)
*The cellular automata zero-player game.*| -|[A Concrete Introduction to Probability](https://github.com/norvig/pytudes/blob/master/ipynb/Probability.ipynb)
*Code and examples of the basic principles of Probability Theory.*| -|[Probability, Paradox, and the Reasonable Person Principle](https://github.com/norvig/pytudes/blob/master/ipynb/ProbabilityParadox.ipynb)
*Some classic paradoxes in Probability Theory, and how to think about disagreements.*| +|[A Chaos Game with Triangles](https://github.com/norvig/pytudes/blob/master/ipynb/Sierpinski.ipynb)
*A surprising appearance of the Sierpinski triangle in a random walk between vertexes.*| |[The Convex Hull Problem](https://github.com/norvig/pytudes/blob/master/ipynb/Convex%20Hull.ipynb)
*A classic Computer Science Algorithm.*| |[The Traveling Salesperson Problem](https://github.com/norvig/pytudes/blob/master/ipynb/TSP.ipynb)
*Another of the classics.*| -|[Economics Simulation](https://github.com/norvig/pytudes/blob/master/ipynb/Economics.ipynb)
*A simulation of a simple economic game.*| |[Project Euler Utilities](https://github.com/norvig/pytudes/blob/master/ipynb/Project%20Euler%20Utils.ipynb)
*My utility functions for the Project Euler problems, including `Primes` and `Factors`.*| # Index of Python Files From d4ea4627cac6a520486bae8c4d6fedc50071882d Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Sun, 4 Feb 2018 21:20:46 -0800 Subject: [PATCH 19/90] Update README.md --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index b7a787f..0d414ce 100644 --- a/README.md +++ b/README.md @@ -40,7 +40,7 @@ Some are in Jupyter (IPython) notebooks, some in `.py` files. You can view the f |[xkcd 1313: Regex Golf](https://github.com/norvig/pytudes/blob/master/ipynb/xkcd1313.ipynb)
*Find the smallest regular expression; inspired by Randall Monroe.*| |[xkcd 1313: Regex Golf (Part 2: Infinite Problems)](https://github.com/norvig/pytudes/blob/master/ipynb/xkcd1313-part2.ipynb)
*Regex Golf: better, faster, funner. With Stefan Pochmann.*| |[Let's Code About Bike Locks](https://github.com/norvig/pytudes/blob/master/ipynb/Fred%20Buns.ipynb)
*A tale of a bicycle combination lock that uses letters instead of digits. Inspired by Bike Snob NYC.*| -|[Gesture Typing](https://github.com/norvig/pytudes/blob/master/ipynb/Gesture%20Typing.ipynb)
*What word has the longest path on a gesture-typing smartphone keyboard? Inspired by Nicolas Schank and Shumin Zhai.*| +|[Gesture Typing](https://github.com/norvig/pytudes/blob/master/ipynb/Gesture%20Typing.ipynb)
*What word has the longest path on a gesture-typing smartphone keyboard? *| |[How to Do Things with Words, or Statistical Natural Language Processing in Python](https://github.com/norvig/pytudes/blob/master/ipynb/How%20to%20Do%20Things%20with%20Words.ipynb)
*Spelling Correction, Secret Codes, Word Segmentation, and more: grab your bag of words.*| |Computer Science Algorithms, Concepts, and Problems| From 2c789edf5f53b6cd8f3ed6e4af2e0d9d22b231a7 Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Sun, 4 Feb 2018 21:21:40 -0800 Subject: [PATCH 20/90] Update README.md --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index 0d414ce..b27571c 100644 --- a/README.md +++ b/README.md @@ -40,7 +40,7 @@ Some are in Jupyter (IPython) notebooks, some in `.py` files. You can view the f |[xkcd 1313: Regex Golf](https://github.com/norvig/pytudes/blob/master/ipynb/xkcd1313.ipynb)
*Find the smallest regular expression; inspired by Randall Monroe.*| |[xkcd 1313: Regex Golf (Part 2: Infinite Problems)](https://github.com/norvig/pytudes/blob/master/ipynb/xkcd1313-part2.ipynb)
*Regex Golf: better, faster, funner. With Stefan Pochmann.*| |[Let's Code About Bike Locks](https://github.com/norvig/pytudes/blob/master/ipynb/Fred%20Buns.ipynb)
*A tale of a bicycle combination lock that uses letters instead of digits. Inspired by Bike Snob NYC.*| -|[Gesture Typing](https://github.com/norvig/pytudes/blob/master/ipynb/Gesture%20Typing.ipynb)
*What word has the longest path on a gesture-typing smartphone keyboard? *| +|[Gesture Typing](https://github.com/norvig/pytudes/blob/master/ipynb/Gesture%20Typing.ipynb)
*What word has the longest path on a gesture-typing smartphone keyboard?*| |[How to Do Things with Words, or Statistical Natural Language Processing in Python](https://github.com/norvig/pytudes/blob/master/ipynb/How%20to%20Do%20Things%20with%20Words.ipynb)
*Spelling Correction, Secret Codes, Word Segmentation, and more: grab your bag of words.*| |Computer Science Algorithms, Concepts, and Problems| From 3634892b017299efa942ef920f18d25c138dbc94 Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Sun, 4 Feb 2018 21:22:43 -0800 Subject: [PATCH 21/90] Update README.md --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index b27571c..cf2845a 100644 --- a/README.md +++ b/README.md @@ -28,7 +28,7 @@ Some are in Jupyter (IPython) notebooks, some in `.py` files. You can view the f |---| |[A Concrete Introduction to Probability](https://github.com/norvig/pytudes/blob/master/ipynb/Probability.ipynb)
*Code and examples of the basic principles of Probability Theory.*| |[Probability, Paradox, and the Reasonable Person Principle](https://github.com/norvig/pytudes/blob/master/ipynb/ProbabilityParadox.ipynb)
*Some classic paradoxes in Probability Theory, and how to think about disagreements.*| -|[Symbolic Algebra, Simplification, and Differentiation](https://github.com/norvig/pytudes/blob/master/ipynb/Differentiation.ipynb)
*A computer algebra system to manipulate expressions. including symbolic differentiation.*| +|[Symbolic Algebra, Simplification, and Differentiation](https://github.com/norvig/pytudes/blob/master/ipynb/Differentiation.ipynb)
*A computer algebra system that manipulates expressions, including symbolic differentiation.*| |[Economics Simulation](https://github.com/norvig/pytudes/blob/master/ipynb/Economics.ipynb)
*A simulation of a simple economic game.*| |[How to Count Things](https://github.com/norvig/pytudes/blob/master/ipynb/How%20To%20Count%20Things.ipynb)
*Combinatorial math: how to count how many things there are, when there are a lot of them.*| From e5eaa45a96c7559e47d98f406d3ae16d5343923d Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Tue, 6 Feb 2018 23:31:10 -0800 Subject: [PATCH 22/90] Add files via upload --- ipynb/BASIC.ipynb | 439 +++++++++++++++++++++++++++++++--------------- 1 file changed, 295 insertions(+), 144 deletions(-) diff --git a/ipynb/BASIC.ipynb b/ipynb/BASIC.ipynb index c33033f..272ef3a 100644 --- a/ipynb/BASIC.ipynb +++ b/ipynb/BASIC.ipynb @@ -14,7 +14,9 @@ { "cell_type": "code", "execution_count": 1, - "metadata": {}, + "metadata": { + "collapsed": true + }, "outputs": [], "source": [ "program = '''\n", @@ -59,18 +61,20 @@ { "cell_type": "code", "execution_count": 2, - "metadata": {}, + "metadata": { + "collapsed": true + }, "outputs": [], "source": [ "import re \n", "\n", - "tokenize = re.compile(\n", - " r'''\\d* \\.? \\d+ (?: E -? \\d+)? | # number \n", - " SIN|COS|TAN|ATN|EXP|ABS|LOG|SQR|RND|INT|FN[A-Z]| # functions (including user-defined FNA-FNZ)\n", - " LET|READ|DATA|PRINT|GOTO|IF|FOR|NEXT|END|STOP | # keywords\n", - " DEF|GOSUB|RETURN|DIM|REM|TO|THEN|STEP | # more keywords\n", - " [A-Z]\\d? | # variable names (letter optionally followed by a digit)\n", - " \".*? \" | # labels (strings in double quotes)\n", + "tokenize = re.compile(r'''\n", + " \\d* \\.? \\d+ (?: E -? \\d+)? | # number \n", + " SIN|COS|TAN|ATN|EXP|ABS|LOG|SQR|RND|INT|FN[A-Z]| # functions\n", + " LET|READ|DATA|PRINT|GOTO|IF|FOR|NEXT|END | # keywords\n", + " DEF|GOSUB|RETURN|DIM|REM|TO|THEN|STEP|STOP | # keywords\n", + " [A-Z]\\d? | # variable names (letter + optional digit)\n", + " \".*?\" | # labels (strings in double quotes)\n", " <>|>=|<= | # multi-character relational operators\n", " \\S # any non-space single character ''', \n", " re.VERBOSE).findall" @@ -175,14 +179,17 @@ { "cell_type": "code", "execution_count": 6, - "metadata": {}, + "metadata": { + "collapsed": true + }, "outputs": [], "source": [ "tokens = [] # Global variable to hold a list of tokens\n", "\n", "def tokenizer(line):\n", " \"Return a list of the tokens on this line, handling spaces properly, and upper-casing.\"\n", - " return tokenize(remove_spaces(line).upper())\n", + " line = ''.join(tokenize(line)) # Remove whitespace\n", + " return tokenize(line.upper())\n", "\n", "def peek(): \n", " \"Return the first token in the global `tokens`, or None if we are at the end of the line.\"\n", @@ -197,7 +204,7 @@ " \n", "def remove_spaces(line): \n", " \"Remove white space from line, except space inside double quotes.\"\n", - " return ''.join(tokenize(line))\n", + " return \n", "\n", "def lines(text): \n", " \"A list of the non-empty lines in a text.\"\n", @@ -240,9 +247,6 @@ " assert (tokenizer('100IFX1+123.4+E1-12.3E4 <> 1.2E-34*-12E34+1+\"HI\" THEN99') ==\n", " ['100', 'IF', 'X1', '+', '123.4', '+', 'E1', '-', '12.3E4', '<>', \n", " '1.2E-34', '*', '-', '12E34', '+', '1', '+', '\"HI\"', 'THEN', '99'])\n", - " assert remove_spaces('10 GO TO 99') == '10GOTO99'\n", - " assert (remove_spaces('100 PRINT \"HELLO WORLD\", SIN(X) ^ 2')\n", - " == '100PRINT\"HELLO WORLD\",SIN(X)^2')\n", " assert lines('one line') == ['one line']\n", " assert lines(program) == [\n", " '10 REM POWER TABLE',\n", @@ -364,7 +368,7 @@ "- **`DIM`** ``\n", "- **`REM`** ``\n", " \n", - "The notation `` means any variable and `` means zero or more variables, separated by commas. `[STEP ]` means that the literal string `\"STEP\"`, followed by an expression, is optional. \n", + "The notation `` means any variable and `` means zero or more variables, separated by commas. `[`**`STEP`** `]` means that the literal string `\"STEP\"` followed by an expression is optional. \n", "\n", "Rather than use one of the many [language parsing frameworks](https://wiki.python.org/moin/LanguageParsing), I will show how to build a parser from scratch. First I'll translate the grammar above into Python. Not character-for-character (because it would take a lot of work to get Python to understand how to handle those characters), but almost word-for-word (because I can envision a straightforward way to get Python to handle the following format):" ] @@ -391,7 +395,8 @@ " 'GOSUB': [linenumber],\n", " 'RETURN': [],\n", " 'DIM': [list_of(variable)], \n", - " 'REM': [anycharacters]\n", + " 'REM': [anycharacters],\n", + " 'A': []\n", " }" ] }, @@ -462,9 +467,9 @@ "metadata": {}, "outputs": [], "source": [ - "def linenumber(): return (int(pop()) if peek().isnumeric() else fail('missing line number'))\n", "def number(): return (-1 if pop('-') else +1) * float(pop()) # Optional minus sign\n", "def step(): return (expression() if pop('STEP') else 1) # 1 is the default step\n", + "def linenumber(): return (int(pop()) if peek().isnumeric() else fail('missing line number'))\n", "def relational(): return pop(is_relational) or fail('expected a relational operator')\n", "def varname(): return pop(is_varname) or fail('expected a variable name')\n", "def funcname(): return pop(is_funcname) or fail('expected a function name')\n", @@ -506,7 +511,9 @@ { "cell_type": "code", "execution_count": 13, - "metadata": {}, + "metadata": { + "collapsed": true + }, "outputs": [], "source": [ "def variable(): \n", @@ -562,7 +569,7 @@ }, "outputs": [], "source": [ - "def parse(program): return sorted(map(parse_line, lines(program)))\n", + "def parse(program): return sorted(parse_line(line) for line in lines(program))\n", "\n", "def parse_line(line): global tokens; tokens = tokenizer(line); return statement()" ] @@ -577,7 +584,9 @@ { "cell_type": "code", "execution_count": 16, - "metadata": {}, + "metadata": { + "collapsed": true + }, "outputs": [], "source": [ "def parse_line(line):\n", @@ -648,7 +657,7 @@ "* Optionally, `\";\"` can be used instead of `\",\"`.\n", "* Optionally, the `\",\"` or `\";\"` can be omitted—we can have a label immediately followed by an expression.\n", "\n", - "The effect of a comma is to advance the output to the next column that is a multiple of 15 (and to a new line if this goes past column 75). The effect of a semicolon is similar, but works in multiples of 3, not 15. (Note that column numbering starts at 0, not 1.) Normally, at the end of a `PRINT` statement we advance to a new line, but this is not done if the statement ends in `\",\"` or `\";\"`. Here are some examples:\n", + "The effect of a comma is to advance the output to the next column that is a multiple of 15 (and to a new line if this goes past column 100). The effect of a semicolon is similar, but works in multiples of 3, not 15. (Note that column numbering starts at 0, not 1.) Normally, at the end of a `PRINT` statement we advance to a new line, but this is not done if the statement ends in `\",\"` or `\";\"`. Here are some examples:\n", "\n", "* `10 PRINT X, Y`\n", "
Prints the value of `X` in column 0 and `Y` in column 15. Advances to new line.\n", @@ -711,7 +720,9 @@ { "cell_type": "code", "execution_count": 19, - "metadata": {}, + "metadata": { + "collapsed": true + }, "outputs": [], "source": [ "def expression(prec=1): \n", @@ -733,7 +744,7 @@ " return Funcall(pop(), primary())\n", " elif pop('-'): # '-X' => Funcall('NEG', 'X')\n", " return Funcall('NEG', primary())\n", - " elif pop('('): # '(X + 1)' => Opcall('X', '+', 1)\n", + " elif pop('('): # '(X)' => 'X'\n", " exp = expression()\n", " pop(')') or fail('expected \")\" to end expression')\n", " return exp\n", @@ -741,7 +752,7 @@ " return fail('unknown expression')\n", "\n", "def precedence(op): \n", - " return (3 if op == '^' else 2 if op in ('*', '/') else 1 if op in ('+', '-') else 0)\n", + " return (3 if op == '^' else 2 if op in ('*', '/', '%') else 1 if op in ('+', '-') else 0)\n", "\n", "def associativity(op): \n", " return (0 if op == '^' else 1)" @@ -897,7 +908,9 @@ { "cell_type": "code", "execution_count": 23, - "metadata": {}, + "metadata": { + "collapsed": true + }, "outputs": [], "source": [ "def execute(stmts): \n", @@ -958,7 +971,9 @@ { "cell_type": "code", "execution_count": 24, - "metadata": {}, + "metadata": { + "collapsed": true + }, "outputs": [], "source": [ "import math\n", @@ -973,7 +988,7 @@ " 'SIN': math.sin, 'COS': math.cos, 'TAN': math.tan, 'ATN': math.atan, \n", " 'ABS': abs, 'EXP': math.exp, 'LOG': math.log, 'SQR': math.sqrt, 'INT': int,\n", " '>': op.gt, '<': op.lt, '=': op.eq, '>=': op.ge, '<=': op.le, '<>': op.ne, \n", - " '^': pow, '+': op.add, '-': op.sub, '*': op.mul, '/': op.truediv, \n", + " '^': pow, '+': op.add, '-': op.sub, '*': op.mul, '/': op.truediv, '%': op.mod,\n", " 'RND': lambda _: random.random(), 'NEG': op.neg}\n", " data = deque() # A queue of numbers that READ can read from\n", " for (_, typ, args) in stmts:\n", @@ -1052,7 +1067,9 @@ { "cell_type": "code", "execution_count": 25, - "metadata": {}, + "metadata": { + "collapsed": true + }, "outputs": [], "source": [ "def basic_print(items): \n", @@ -1066,11 +1083,11 @@ " newline()\n", " \n", "def print_string(s): \n", - " \"Print a string, keeping track of column, and advancing to newline if at or beyond column 75.\"\n", + " \"Print a string, keeping track of column, and advancing to newline if at or beyond column 100.\"\n", " global column\n", " print(s, end='')\n", " column += len(s)\n", - " if column >= 75: newline()\n", + " if column >= 100: newline()\n", " \n", "def pad(width): \n", " \"Pad out to the column that is the next multiple of width.\"\n", @@ -1284,9 +1301,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "1 2 3 4 5 \n", - "6 7 8 9 10 \n", - "11 12 " + "1 2 3 4 5 6 7 \n", + "8 9 10 11 12 " ] } ], @@ -1330,14 +1346,12 @@ "N = 5 I^N:\n", "1 32 243 1024 3125 \n", "\n", - "\n", "N = 6 I^N:\n", - "1 64 729 4096 15625 \n", - "46656 \n", + "1 64 729 4096 15625 46656 \n", "\n", "N = 7 I^N:\n", - "1 128 2187 16384 78125 \n", - "279936 823543 \n", + "1 128 2187 16384 78125 279936 823543 \n", + "\n", "\n" ] } @@ -1372,10 +1386,9 @@ "name": "stdout", "output_type": "stream", "text": [ - "1e+06 941192 884736 830584 778688 729000 681472 636056 592704 \n", - "551368 512000 474552 438976 405224 373248 343000 314432 287496 \n", - "262144 238328 216000 195112 175616 157464 140608 125000 110592 \n", - "97336 85184 74088 64000 54872 46656 39304 32768 27000 21952 17576 13824 10648 \n", + "1e+06 941192 884736 830584 778688 729000 681472 636056 592704 551368 512000 474552 \n", + "438976 405224 373248 343000 314432 287496 262144 238328 216000 195112 175616 157464 \n", + "140608 125000 110592 97336 85184 74088 64000 54872 46656 39304 32768 27000 21952 17576 13824 10648 \n", "8000 5832 4096 2744 1728 1000 512 216 64 8 0 " ] } @@ -1454,27 +1467,27 @@ "data": { "text/plain": [ "defaultdict(float,\n", - " {('P', (1.0,)): 1.25,\n", - " ('S', (3.0, 5.0)): 33.0,\n", - " ('S', (3.0, 4.0)): 16.0,\n", - " ('S', (1.0, 5.0)): 42.0,\n", - " ('S', (2.0, 1.0)): 10.0,\n", - " ('P', (3.0,)): 2.5,\n", - " ('S', (1.0, 4.0)): 29.0,\n", - " ('S', (1.0, 2.0)): 20.0,\n", - " ('S', (3.0, 1.0)): 35.0,\n", - " 'I': 3.0,\n", - " ('S', (2.0, 4.0)): 21.0,\n", - " ('P', (2.0,)): 4.3,\n", - " ('S', (2.0, 5.0)): 8.0,\n", - " ('S', (1.0, 1.0)): 40.0,\n", - " ('S', (3.0, 3.0)): 29.0,\n", + " {('S', (2.0, 1.0)): 10.0,\n", " 'J': 5.0,\n", + " ('S', (1.0, 1.0)): 40.0,\n", + " ('S', (3.0, 5.0)): 33.0,\n", + " ('P', (2.0,)): 4.3,\n", " ('S', (3.0, 2.0)): 47.0,\n", + " ('S', (2.0, 5.0)): 8.0,\n", + " 'I': 3.0,\n", + " ('P', (1.0,)): 1.25,\n", + " ('S', (1.0, 4.0)): 29.0,\n", + " ('S', (2.0, 4.0)): 21.0,\n", + " ('S', (3.0, 1.0)): 35.0,\n", + " ('S', (3.0, 4.0)): 16.0,\n", " 'S': 169.4,\n", - " ('S', (2.0, 2.0)): 16.0,\n", + " ('S', (1.0, 2.0)): 20.0,\n", + " ('S', (1.0, 3.0)): 37.0,\n", " ('S', (2.0, 3.0)): 3.0,\n", - " ('S', (1.0, 3.0)): 37.0})" + " ('S', (2.0, 2.0)): 16.0,\n", + " ('S', (1.0, 5.0)): 42.0,\n", + " ('P', (3.0,)): 2.5,\n", + " ('S', (3.0, 3.0)): 29.0})" ] }, "execution_count": 35, @@ -1495,10 +1508,9 @@ "name": "stdout", "output_type": "stream", "text": [ - "7 2 8 4 9 1 9 8 0 8 3 0 3 4 5 6 4 2 1 6 9 9 9 7 5 \n", - "8 4 1 5 9 9 7 5 5 7 2 0 3 2 1 2 1 8 3 9 9 3 0 0 2 \n", - "2 8 9 7 5 8 9 0 2 7 8 6 7 4 9 9 4 2 5 4 0 9 6 5 3 \n", - "3 3 5 1 7 1 6 1 0 7 3 5 8 1 9 0 4 7 1 7 4 5 1 7 6 \n" + "3 1 1 0 2 4 4 5 1 1 8 5 5 0 1 0 4 9 4 6 2 7 7 9 4 4 1 5 6 7 3 6 4 1 \n", + "1 2 0 8 7 2 5 4 1 2 1 5 1 0 2 5 7 8 2 9 3 4 7 5 9 6 8 6 9 4 9 1 6 6 \n", + "1 6 9 2 8 1 4 8 4 7 2 2 6 0 0 5 6 4 9 5 8 7 1 3 8 8 1 9 4 2 8 3 " ] } ], @@ -1655,54 +1667,61 @@ "name": "stdout", "output_type": "stream", "text": [ - "Error in line '10 X = 1' at 'X = 1': unknown statement type\n", - "Error in line '20 GO TO JAIL' at 'J A I L': missing line number\n", - "Error in line '30 FOR I = 1 ' at '': expected 'TO'\n", - "Error in line '40 IF X > 0 & X < 10 GOTO 999' at '& X < 10 GOTO 999': expected 'THEN'\n", - "Error in line '50 LET Z = (Z + 1' at '': expected \")\" to end expression\n", - "Error in line '60 PRINT \"OH CANADA\", EH?' at '?': unknown expression\n", - "Error in line '70 LET Z = +3' at '+ 3': unknown expression\n", - "Error in line '80 LET X = Y ** 2' at '* 2': unknown expression\n", - "Error in line '90 LET A(I = 1' at '= 1': expected \")\" to close subscript\n", - "Error in line '100 IF A = 0 THEN 900 + 99' at '+ 99': extra tokens at end of line\n", - "Error in line '110 NEXT A(I)' at '( I )': extra tokens at end of line\n", - "Error in line '120 DEF F(X) = X ^ 2 + 1' at 'F ( X ) = X ^ 2 + 1': expected a function name\n", - "Error in line '130 IF X != 0 THEN 999' at '! = 0 THEN 999': expected a relational operator\n", - "Error in line '140 DEF FNS(X + 2*P1) = SIN(X)' at '+ 2 * P1 ) = SIN ( X )': expected ')'\n", - "Error in line '150 DEF FNY(M, B) = M * X + B' at ', B ) = M * X + B': expected ')'\n", - "Error in line '160 LET 3 = X' at '3 = X': expected a variable name\n", - "Error in line '170 LET SIN = 7 * DEADLY' at 'SIN = 7 * D E A D L Y': expected a variable name\n", - "Error in line '180 LET X = A-1(I)' at '( I )': extra tokens at end of line\n", - "Error in line 'STOP' at 'STOP': missing line number\n", - "Error in line '200 STOP IT, ALREADY' at 'I T , A L READ Y': extra tokens at end of line\n", - "PROGRAM STILL EXECUTES: 2 + 2 = 4 \n" + "Error in line '1 X = 1' at 'X = 1': unknown statement type\n", + "Error in line '2 GO TO JAIL' at 'J A I L': missing line number\n", + "Error in line '3 FOR I = 1 ' at '': expected 'TO'\n", + "Error in line '4 IF X > 0 & X < 10 GOTO 999' at '& X < 10 GOTO 999': expected 'THEN'\n", + "Error in line '5 LET Z = (Z + 1' at '': expected \")\" to end expression\n", + "Error in line '6 PRINT \"OH CANADA\", EH?' at '?': unknown expression\n", + "Error in line '7 LET Z = +3' at '+ 3': unknown expression\n", + "Error in line '8 LET X = Y ** 2' at '* 2': unknown expression\n", + "Error in line '9 LET A(I = 1' at '= 1': expected \")\" to close subscript\n", + "Error in line '10 IF A = 0 THEN 900 + 99' at '+ 99': extra tokens at end of line\n", + "Error in line '11 NEXT A(I)' at '( I )': extra tokens at end of line\n", + "Error in line '12 DEF F(X) = X ^ 2 + 1' at 'F ( X ) = X ^ 2 + 1': expected a function name\n", + "Error in line '13 IF X != 0 THEN 999' at '! = 0 THEN 999': expected a relational operator\n", + "Error in line '14 DEF FNS(X + 2*P1) = SIN(X)' at '+ 2 * P1 ) = SIN ( X )': expected ')'\n", + "Error in line '15 DEF FNY(M, B) = M * X + B' at ', B ) = M * X + B': expected ')'\n", + "Error in line '16 LET 3 = X' at '3 = X': expected a variable name\n", + "Error in line '17 LET SIN = 7 * DEADLY' at 'SIN = 7 * D E A D L Y': expected a variable name\n", + "Error in line '18 LET X = A-1(I)' at '( I )': extra tokens at end of line\n", + "Error in line '19 FOR SCORE + 7' at 'C O R E + 7': expected '='\n", + "Error in line '20 STOP IN NAME(LOVE)' at 'I N N A M E ( L O V E )': extra tokens at end of line\n", + "Error in line '85 ENDURANCE.' at 'U R A N C E .': extra tokens at end of line\n", + "ADD 2 + 2 = 4 \n" ] } ], "source": [ "run('''\n", - "10 X = 1\n", - "20 GO TO JAIL\n", - "30 FOR I = 1 \n", - "40 IF X > 0 & X < 10 GOTO 999\n", - "50 LET Z = (Z + 1\n", - "60 PRINT \"OH CANADA\", EH?\n", - "70 LET Z = +3\n", - "80 LET X = Y ** 2\n", - "90 LET A(I = 1\n", - "100 IF A = 0 THEN 900 + 99\n", - "110 NEXT A(I)\n", - "120 DEF F(X) = X ^ 2 + 1\n", - "130 IF X != 0 THEN 999\n", - "140 DEF FNS(X + 2*P1) = SIN(X)\n", - "150 DEF FNY(M, B) = M * X + B\n", - "160 LET 3 = X\n", - "170 LET SIN = 7 * DEADLY\n", - "180 LET X = A-1(I)\n", - "STOP\n", - "200 STOP IT, ALREADY\n", - "998 PRINT \"PROGRAM STILL EXECUTES: 2 + 2 = \" 2 + 2\n", - "999 END\n", + "1 X = 1\n", + "2 GO TO JAIL\n", + "3 FOR I = 1 \n", + "4 IF X > 0 & X < 10 GOTO 999\n", + "5 LET Z = (Z + 1\n", + "6 PRINT \"OH CANADA\", EH?\n", + "7 LET Z = +3\n", + "8 LET X = Y ** 2\n", + "9 LET A(I = 1\n", + "10 IF A = 0 THEN 900 + 99\n", + "11 NEXT A(I)\n", + "12 DEF F(X) = X ^ 2 + 1\n", + "13 IF X != 0 THEN 999\n", + "14 DEF FNS(X + 2*P1) = SIN(X)\n", + "15 DEF FNY(M, B) = M * X + B\n", + "16 LET 3 = X\n", + "17 LET SIN = 7 * DEADLY\n", + "18 LET X = A-1(I)\n", + "19 FOR SCORE + 7\n", + "20 STOP IN NAME(LOVE)\n", + "80 REMARKABLY, THE INTERPRETER\n", + "81 REMEDIES THE ERRORS, AND THE PROPGRAM\n", + "82 REMAINS AN EXECUTABLE ENTITY, UN-\n", + "83 REMITTENTLY RUNNING, WITH NO\n", + "84 REMORSE OR REGRETS, AND WITH GREAT\n", + "85 ENDURANCE.\n", + "98 PRINT \"ADD 2 + 2 = \" 2 + 2\n", + "99 END\n", "''')" ] }, @@ -1710,10 +1729,9 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Final Program\n", + "# Longer Program: Life\n", "\n", - "Now for a final, longer example, Conway's Game of [Life](https://en.wikipedia.org/wiki/Conway's_Game_of_Life),\n", - "which shows that BASIC is capable of handling a non-trivial problem—but I wouldn't want to rely on it for anything much bigger. This should give us some added confidence in the validity of the interpreter, but I would say the interpreter needs more work before I would trust it. I hope you found working through the interpreter infortative, and maybe you have ideas for how to improve it, or to develop an interpreter for another language." + "Now for a final, slightly more complicated example: Conway's Game of [Life](https://en.wikipedia.org/wiki/Conway's_Game_of_Life). " ] }, { @@ -1725,7 +1743,7 @@ "name": "stdout", "output_type": "stream", "text": [ - " GENERATION 0 \n", + "GEN 0 \n", ". . . . . . . . . . \n", ". . . . . . . . . . \n", ". . . . . . . . . . \n", @@ -1736,7 +1754,7 @@ ". . . . . . . . . . \n", ". . . . . . . . . . \n", ". . . . . . . . . . \n", - " GENERATION 1 \n", + "GEN 1 \n", ". . . . . . . . . . \n", ". . . . . . . . . . \n", ". . . . . . . . . . \n", @@ -1747,7 +1765,7 @@ ". . . . . . . . . . \n", ". . . . . . . . . . \n", ". . . . . . . . . . \n", - " GENERATION 2 \n", + "GEN 2 \n", ". . . . . . . . . . \n", ". . . . . . . . . . \n", ". . . . . . . . . . \n", @@ -1758,7 +1776,7 @@ ". . . . . . . . . . \n", ". . . . . . . . . . \n", ". . . . . . . . . . \n", - " GENERATION 3 \n", + "GEN 3 \n", ". . . . . . . . . . \n", ". . . . . . . . . . \n", ". . . . . . . . . . \n", @@ -1769,7 +1787,7 @@ ". . . . . . . . . . \n", ". . . . . . . . . . \n", ". . . . . . . . . . \n", - " GENERATION 4 \n", + "GEN 4 \n", ". . . . . . . . . . \n", ". . . . . . . . . . \n", ". . . . . . . . . . \n", @@ -1780,7 +1798,7 @@ ". . . . . . . . . . \n", ". . . . . . . . . . \n", ". . . . . . . . . . \n", - " GENERATION 5 \n", + "GEN 5 \n", ". . . . . . . . . . \n", ". . . . . . . . . . \n", ". . . O O . . . . . \n", @@ -1791,7 +1809,7 @@ ". . . . . . . . . . \n", ". . . . . . . . . . \n", ". . . . . . . . . . \n", - " GENERATION 6 \n", + "GEN 6 \n", ". . . . . . . . . . \n", ". . . . . . . . . . \n", ". . . O O O . . . . \n", @@ -1802,7 +1820,7 @@ ". . . . . . . . . . \n", ". . . . . . . . . . \n", ". . . . . . . . . . \n", - " GENERATION 7 \n", + "GEN 7 \n", ". . . . . . . . . . \n", ". . . . O . . . . . \n", ". . . O . O . . . . \n", @@ -1813,7 +1831,7 @@ ". . . . O . . . . . \n", ". . . . . . . . . . \n", ". . . . . . . . . . \n", - " GENERATION 8 \n", + "GEN 8 \n", ". . . . . . . . . . \n", ". . . . O . . . . . \n", ". . . O O O . . . . \n", @@ -1824,7 +1842,7 @@ ". . . . O . . . . . \n", ". . . . . . . . . . \n", ". . . . . . . . . . \n", - " GENERATION 9 \n", + "GEN 9 \n", ". . . . . . . . . . \n", ". . . O O O . . . . \n", ". . O . . . O . . . \n", @@ -1835,7 +1853,7 @@ ". . . O O O . . . . \n", ". . . . . . . . . . \n", ". . . . . . . . . . \n", - " GENERATION 10 \n", + "GEN 10 \n", ". . . . O . . . . . \n", ". . . O O O . . . . \n", ". . O O O O O . . . \n", @@ -1852,15 +1870,17 @@ "source": [ "run('''\n", "100 REM CONWAY'S GAME OF LIFE\n", - "102 REM G IS NUMBER OF GENERATIONS, M IS MATRIX SIZE (M X M)\n", - "104 REM A(X, Y) IS 1 IFF CELL AT (X, Y) IS LIVE\n", - "106 REM L(SELF_ALIVE, NEIGHBORS_ALIVE) IS 1 IFF CELL WITH THOSE COUNTS SHOULD LIVE ON\n", - "110 LET G = 10\n", - "120 LET M = 10\n", - "125 READ A(3,4), A(3,5), A(3,6), A(6,5), A(6,6), A(7,5), A(7,6)\n", - "130 DATA 1, 1, 1, 1, 1, 1, 1\n", - "140 READ L(0, 3), L(1, 3), L(1, 2)\n", - "145 DATA 1, 1, 1\n", + "\n", + "102 REM G IS NUMBER OF GENERATIONS, \n", + "104 REM M IS MATRIX SIZE (M X M)\n", + "106 REM L(SELF, NEIGHBORS_ALIVE) IS 1 IFF CELL WITH THOSE COUNTS LIVES\n", + "108 REM A(X, Y) IS 1 IFF CELL AT (X, Y) IS LIVE\n", + "110 REM B(X, Y) GETS THE NEXT GENERATION\n", + "\n", + "120 READ G, M, L(0,3), L(1,3), L(1,2)\n", + "121 DATA 10, 10, 1, 1, 1\n", + "130 READ A(3,4), A(3,5), A(3,6), A(6,5), A(6,6), A(7,5), A(7,6)\n", + "131 DATA 1, 1, 1, 1, 1, 1, 1\n", "\n", "150 REM MAIN LOOP: PRINT, THEN REPEAT G TIMES: UPDATE / COPY / PRINT\n", "155 LET I = 0\n", @@ -1872,7 +1892,7 @@ "210 NEXT I\n", "220 STOP\n", "\n", - "300 REM SUBROUTINE: UPDATE B = NEXT_GENERATION(A)\n", + "300 REM ========== UPDATE B = NEXT_GEN(A)\n", "310 FOR Y = 1 TO M\n", "320 FOR X = 1 TO M\n", "325 LET N = A(X-1,Y)+A(X+1,Y)+A(X,Y-1)+A(X,Y+1)+A(X-1,Y-1)+A(X+1,Y+1)+A(X-1,Y+1)+A(X+1,Y-1)\n", @@ -1881,7 +1901,7 @@ "350 NEXT Y\n", "360 RETURN\n", "\n", - "500 REM SUBROUTINE: COPY A = B\n", + "500 REM ========== COPY A = B\n", "510 FOR Y = 1 TO M\n", "520 FOR X = 1 TO M\n", "530 LET A(X, Y) = B(X, Y)\n", @@ -1889,14 +1909,14 @@ "550 NEXT Y\n", "560 RETURN\n", "\n", - "700 REM SUBROUTINE: PRINT A\n", - "705 PRINT \" GENERATION \" I\n", + "700 REM ========== PRINT A\n", + "705 PRINT \"GEN \" I\n", "710 FOR Y = 1 TO M\n", "720 FOR X = 1 TO M\n", - "730 IF A(X, Y) = 0 THEN 750\n", - "740 PRINT \"O\";\n", - "750 IF A(X, Y) = 1 THEN 770\n", - "760 PRINT \".\";\n", + "730 IF A(X, Y) = 1 THEN 760\n", + "740 PRINT \".\";\n", + "750 GOTO 770\n", + "760 PRINT \"O\";\n", "770 NEXT X\n", "780 PRINT\n", "790 NEXT Y\n", @@ -1906,14 +1926,145 @@ "''')" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Actually, this was an assignment in my high school BASIC class. (We used a [slightly different](https://www.grc.com/pdp-8/docs/os8_basic_reference.pdf) version of BASIC.) Back then, output was on rolls of paper, and I thought it was wasteful to print only one generation per line. So I arranged to print multiple generations on the same line, storing them until it was time to print them out. But BASIC doesn't have three-dimensional arrays, so I needed to store several generations worth of data in one `A(X, Y)` value. Today, I know that that could be done by allocating one bit for each generation, but back then I don't think I knew about binary representation, so I stored one generation in each decimal digit. That means I no longer need two matrixes, `A` and `B`; instead, the current generation will always be the value in the one's place, the previous generation in the ten's place, and the one before that in the hundred's place. (Also, I admit I cheated: I added the mod operatoir, `%`, which did not appear in early versions of BASIC, just because it was useful for this program.)" + ] + }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [] + "execution_count": 43, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "GEN 0 GEN 1 GEN 2 \n", + ". . . . . . . . . . | . . . . . . . . . . | . . . . . . . . . . | \n", + ". . . . . . . . . . | . . . . . . . . . . | . . . . . . . . . . | \n", + ". . . . . . . . . . | . . . . . . . . . . | . . . . . . . . . . | \n", + ". . O . . . . . . . | . . . . . . . . . . | . . O . . . . . . . | \n", + ". . O . . O O . . . | . O O O . O O . . . | . . O . O O O . . . | \n", + ". . O . . O O . . . | . . . . . O O . . . | . . O . O O O . . . | \n", + ". . . . . . . . . . | . . . . . . . . . . | . . . . . . . . . . | \n", + ". . . . . . . . . . | . . . . . . . . . . | . . . . . . . . . . | \n", + ". . . . . . . . . . | . . . . . . . . . . | . . . . . . . . . . | \n", + ". . . . . . . . . . | . . . . . . . . . . | . . . . . . . . . . | \n", + "GEN 3 GEN 4 GEN 5 \n", + ". . . . . . . . . . | . . . . . . . . . . | . . . . . . . . . . | \n", + ". . . . . . . . . . | . . . . . . . . . . | . . . . . . . . . . | \n", + ". . . . . . . . . . | . . . . . . . . . . | . . . O O . . . . . | \n", + ". . . O . O . . . . | . . O O O O . . . . | . . O . O O . . . . | \n", + ". O O . O . O . . . | . . O . O . O . . . | . . O . . . O . . . | \n", + ". . . . O . O . . . | . . . O O . O . . . | . . . O O . O . . . | \n", + ". . . . . O . . . . | . . . . . O . . . . | . . . . O O . . . . | \n", + ". . . . . . . . . . | . . . . . . . . . . | . . . . . . . . . . | \n", + ". . . . . . . . . . | . . . . . . . . . . | . . . . . . . . . . | \n", + ". . . . . . . . . . | . . . . . . . . . . | . . . . . . . . . . | \n", + "GEN 6 GEN 7 GEN 8 \n", + ". . . . . . . . . . | . . . . . . . . . . | . . . . . . . . . . | \n", + ". . . . . . . . . . | . . . . O . . . . . | . . . . O . . . . . | \n", + ". . . O O O . . . . | . . . O . O . . . . | . . . O O O . . . . | \n", + ". . O . O O . . . . | . . O . . . O . . . | . . O O . O O . . . | \n", + ". . O . . . O . . . | . . O . . . O . . . | . O O O . O O O . . | \n", + ". . . O O . O . . . | . . O . . . O . . . | . . O O . O O . . . | \n", + ". . . O O O . . . . | . . . O . O . . . . | . . . O O O . . . . | \n", + ". . . . . . . . . . | . . . . O . . . . . | . . . . O . . . . . | \n", + ". . . . . . . . . . | . . . . . . . . . . | . . . . . . . . . . | \n", + ". . . . . . . . . . | . . . . . . . . . . | . . . . . . . . . . | \n", + "GEN 9 GEN 10 GEN 11 \n", + ". . . . . . . . . . | . . . . O . . . . . | . . . O O O . . . . | \n", + ". . . O O O . . . . | . . . O O O . . . . | . . O . . . O . . . | \n", + ". . O . . . O . . . | . . O O O O O . . . | . O . . . . . O . . | \n", + ". O . . . . . O . . | . O O . . . O O . . | O . . . O . . . O . | \n", + ". O . . . . . O . . | O O O . . . O O O . | O . . O . O . . O . | \n", + ". O . . . . . O . . | . O O . . . O O . . | O . . . O . . . O . | \n", + ". . O . . . O . . . | . . O O O O O . . . | . O . . . . . O . . | \n", + ". . . O O O . . . . | . . . O O O . . . . | . . O . . . O . . . | \n", + ". . . . . . . . . . | . . . . O . . . . . | . . . O O O . . . . | \n", + ". . . . . . . . . . | . . . . . . . . . . | . . . . . . . . . . | \n" + ] + } + ], + "source": [ + "run('''\n", + "100 REM CONWAY'S GAME OF LIFE\n", + "\n", + "102 REM G IS NUMBER OF GENERATIONS, \n", + "104 REM M IS MATRIX SIZE (M X M)\n", + "106 REM L(SELF, NEIGHBORS_ALIVE) IS 1 IFF CELL WITH THOSE COUNTS LIVES\n", + "108 REM A(X, Y) STORES THE HISTORY OF THE CELL AT (X, Y); 1 MEANS LIVE,\n", + "110 REM BUT WE STORE SEVERAL GENERATIONS: A(X, Y) = 100 MEANS THE CELL\n", + "112 REM IS DEAD IN THE CURRENT AND PREVIOUS GENERATION (00), BUT LIVE IN THE\n", + "114 REM GENERATION BEFORE THAT (1). WE STORE MULTIPLE GENERATIONS SO THAT\n", + "116 REM WE CAN PRINT THEM OUT ON ONE LINE, SAVING SPACE/PAPER.\n", + "\n", + "120 READ G, M, L(0,3), L(1,3), L(1,2)\n", + "122 DATA 11, 10, 1, 1, 1\n", + "124 READ A(3,4), A(3,5), A(3,6), A(6,5), A(6,6), A(7,5), A(7,6)\n", + "126 DATA 1, 1, 1, 1, 1, 1, 1\n", + "\n", + "130 REM FNA(N) = THE PREVIOUS GENERATION'S VALUE\n", + "132 DEF FNA(N) = INT(N / 10) % 10\n", + "\n", + "134 REM FNC(N) = THE GENERATION IN COLUMN C; FNC(123) = C FOR EACH C IN 1..3\n", + "136 DEF FNC(N) = FNA(N / (10 ^ (2 - C)))\n", + "\n", + "150 REM MAIN LOOP: DO 3 UPDATES (2 FIRST TIME), THEN PRINT AND SHIFT\n", + "160 FOR I = 1 TO G\n", + "170 GOSUB 300\n", + "175 IF I % 3 <> 2 THEN 200\n", + "180 GOSUB 700\n", + "190 GOSUB 800\n", + "200 NEXT I\n", + "210 STOP\n", + "\n", + "300 REM ========== UPDATE A: SHIFT OLD GENS LEFT; ADD IN NEW GEN\n", + "310 FOR Y = 1 TO M\n", + "320 FOR X = 1 TO M \n", + "330 LET A(X, Y) = 10 * A(X, Y)\n", + "340 NEXT X\n", + "350 NEXT Y\n", + "360 FOR Y = 1 TO M\n", + "370 FOR X = 1 TO M \n", + "380 LET N1 = FNA(A(X+1,Y-1)) + FNA(A(X+1,Y)) + FNA(A(X+1,Y+1)) + FNA(A(X,Y-1))\n", + "390 LET N2 = FNA(A(X-1,Y-1)) + FNA(A(X-1,Y)) + FNA(A(X-1,Y+1)) + FNA(A(X,Y+1))\n", + "400 LET S = FNA(A(X, Y))\n", + "410 LET A(X, Y) = A(X, Y) + L(S, N1 + N2)\n", + "420 NEXT X\n", + "430 NEXT Y\n", + "440 RETURN\n", + "\n", + "700 REM ========== PRINT A (3 GENERATIONS ACROSS THE PAGE)\n", + "705 PRINT \"GEN \" I-2, \" \", \" GEN \" I-1, \" \", \" GEN \" I\n", + "710 FOR Y = 1 TO M\n", + "715 FOR C = 1 TO 3\n", + "720 FOR X = 1 TO M\n", + "730 IF FNC(A(X, Y)) = 1 THEN 760\n", + "740 PRINT \".\";\n", + "750 GOTO 770\n", + "760 PRINT \"O\";\n", + "770 NEXT X\n", + "775 PRINT \"|\";\n", + "777 NEXT C\n", + "780 PRINT\n", + "790 NEXT Y\n", + "795 RETURN\n", + "\n", + "800 REM ========== FORGET ALL BUT THE MOST RECENT GENERATION IN A\n", + "810 FOR Y = 1 TO M\n", + "820 FOR X = 1 TO M\n", + "830 LET A(X, Y) = A(X, Y) % 10\n", + "840 NEXT X\n", + "850 NEXT Y\n", + "860 RETURN\n", + "\n", + "999 END \n", + "''')" + ] } ], "metadata": { From a4ac971d8458c862abba2da03fe4eafa3020601a Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Tue, 6 Feb 2018 23:36:29 -0800 Subject: [PATCH 23/90] Add files via upload --- ipynb/BASIC.ipynb | 115 +++++++++++++++++++++++----------------------- 1 file changed, 58 insertions(+), 57 deletions(-) diff --git a/ipynb/BASIC.ipynb b/ipynb/BASIC.ipynb index 272ef3a..b711164 100644 --- a/ipynb/BASIC.ipynb +++ b/ipynb/BASIC.ipynb @@ -1467,27 +1467,27 @@ "data": { "text/plain": [ "defaultdict(float,\n", - " {('S', (2.0, 1.0)): 10.0,\n", - " 'J': 5.0,\n", - " ('S', (1.0, 1.0)): 40.0,\n", - " ('S', (3.0, 5.0)): 33.0,\n", - " ('P', (2.0,)): 4.3,\n", - " ('S', (3.0, 2.0)): 47.0,\n", - " ('S', (2.0, 5.0)): 8.0,\n", - " 'I': 3.0,\n", - " ('P', (1.0,)): 1.25,\n", - " ('S', (1.0, 4.0)): 29.0,\n", - " ('S', (2.0, 4.0)): 21.0,\n", + " {'J': 5.0,\n", " ('S', (3.0, 1.0)): 35.0,\n", " ('S', (3.0, 4.0)): 16.0,\n", - " 'S': 169.4,\n", + " ('S', (3.0, 5.0)): 33.0,\n", " ('S', (1.0, 2.0)): 20.0,\n", " ('S', (1.0, 3.0)): 37.0,\n", " ('S', (2.0, 3.0)): 3.0,\n", " ('S', (2.0, 2.0)): 16.0,\n", " ('S', (1.0, 5.0)): 42.0,\n", + " ('P', (1.0,)): 1.25,\n", + " ('S', (3.0, 3.0)): 29.0,\n", + " ('S', (2.0, 4.0)): 21.0,\n", + " 'S': 169.4,\n", + " 'I': 3.0,\n", + " ('P', (2.0,)): 4.3,\n", + " ('S', (3.0, 2.0)): 47.0,\n", + " ('S', (1.0, 1.0)): 40.0,\n", + " ('S', (1.0, 4.0)): 29.0,\n", + " ('S', (2.0, 5.0)): 8.0,\n", " ('P', (3.0,)): 2.5,\n", - " ('S', (3.0, 3.0)): 29.0})" + " ('S', (2.0, 1.0)): 10.0})" ] }, "execution_count": 35, @@ -1508,9 +1508,9 @@ "name": "stdout", "output_type": "stream", "text": [ - "3 1 1 0 2 4 4 5 1 1 8 5 5 0 1 0 4 9 4 6 2 7 7 9 4 4 1 5 6 7 3 6 4 1 \n", - "1 2 0 8 7 2 5 4 1 2 1 5 1 0 2 5 7 8 2 9 3 4 7 5 9 6 8 6 9 4 9 1 6 6 \n", - "1 6 9 2 8 1 4 8 4 7 2 2 6 0 0 5 6 4 9 5 8 7 1 3 8 8 1 9 4 2 8 3 " + "1 2 4 9 5 0 5 3 7 7 3 8 6 4 4 6 7 4 5 4 8 8 7 9 4 1 0 3 5 2 3 4 5 3 \n", + "6 5 3 1 0 9 5 6 1 4 5 7 3 1 4 3 6 3 7 2 3 0 2 2 7 5 0 8 7 9 3 9 5 7 \n", + "5 0 1 9 6 3 7 5 0 0 5 7 3 5 9 3 2 6 1 2 1 9 1 7 0 9 0 6 9 6 7 2 " ] } ], @@ -1943,49 +1943,49 @@ "output_type": "stream", "text": [ "GEN 0 GEN 1 GEN 2 \n", - ". . . . . . . . . . | . . . . . . . . . . | . . . . . . . . . . | \n", - ". . . . . . . . . . | . . . . . . . . . . | . . . . . . . . . . | \n", - ". . . . . . . . . . | . . . . . . . . . . | . . . . . . . . . . | \n", - ". . O . . . . . . . | . . . . . . . . . . | . . O . . . . . . . | \n", - ". . O . . O O . . . | . O O O . O O . . . | . . O . O O O . . . | \n", - ". . O . . O O . . . | . . . . . O O . . . | . . O . O O O . . . | \n", - ". . . . . . . . . . | . . . . . . . . . . | . . . . . . . . . . | \n", - ". . . . . . . . . . | . . . . . . . . . . | . . . . . . . . . . | \n", - ". . . . . . . . . . | . . . . . . . . . . | . . . . . . . . . . | \n", - ". . . . . . . . . . | . . . . . . . . . . | . . . . . . . . . . | \n", + ". . . . . . . . . . | . . . . . . . . . . | . . . . . . . . . . \n", + ". . . . . . . . . . | . . . . . . . . . . | . . . . . . . . . . \n", + ". . . . . . . . . . | . . . . . . . . . . | . . . . . . . . . . \n", + ". . O . . . . . . . | . . . . . . . . . . | . . O . . . . . . . \n", + ". . O . . O O . . . | . O O O . O O . . . | . . O . O O O . . . \n", + ". . O . . O O . . . | . . . . . O O . . . | . . O . O O O . . . \n", + ". . . . . . . . . . | . . . . . . . . . . | . . . . . . . . . . \n", + ". . . . . . . . . . | . . . . . . . . . . | . . . . . . . . . . \n", + ". . . . . . . . . . | . . . . . . . . . . | . . . . . . . . . . \n", + ". . . . . . . . . . | . . . . . . . . . . | . . . . . . . . . . \n", "GEN 3 GEN 4 GEN 5 \n", - ". . . . . . . . . . | . . . . . . . . . . | . . . . . . . . . . | \n", - ". . . . . . . . . . | . . . . . . . . . . | . . . . . . . . . . | \n", - ". . . . . . . . . . | . . . . . . . . . . | . . . O O . . . . . | \n", - ". . . O . O . . . . | . . O O O O . . . . | . . O . O O . . . . | \n", - ". O O . O . O . . . | . . O . O . O . . . | . . O . . . O . . . | \n", - ". . . . O . O . . . | . . . O O . O . . . | . . . O O . O . . . | \n", - ". . . . . O . . . . | . . . . . O . . . . | . . . . O O . . . . | \n", - ". . . . . . . . . . | . . . . . . . . . . | . . . . . . . . . . | \n", - ". . . . . . . . . . | . . . . . . . . . . | . . . . . . . . . . | \n", - ". . . . . . . . . . | . . . . . . . . . . | . . . . . . . . . . | \n", + ". . . . . . . . . . | . . . . . . . . . . | . . . . . . . . . . \n", + ". . . . . . . . . . | . . . . . . . . . . | . . . . . . . . . . \n", + ". . . . . . . . . . | . . . . . . . . . . | . . . O O . . . . . \n", + ". . . O . O . . . . | . . O O O O . . . . | . . O . O O . . . . \n", + ". O O . O . O . . . | . . O . O . O . . . | . . O . . . O . . . \n", + ". . . . O . O . . . | . . . O O . O . . . | . . . O O . O . . . \n", + ". . . . . O . . . . | . . . . . O . . . . | . . . . O O . . . . \n", + ". . . . . . . . . . | . . . . . . . . . . | . . . . . . . . . . \n", + ". . . . . . . . . . | . . . . . . . . . . | . . . . . . . . . . \n", + ". . . . . . . . . . | . . . . . . . . . . | . . . . . . . . . . \n", "GEN 6 GEN 7 GEN 8 \n", - ". . . . . . . . . . | . . . . . . . . . . | . . . . . . . . . . | \n", - ". . . . . . . . . . | . . . . O . . . . . | . . . . O . . . . . | \n", - ". . . O O O . . . . | . . . O . O . . . . | . . . O O O . . . . | \n", - ". . O . O O . . . . | . . O . . . O . . . | . . O O . O O . . . | \n", - ". . O . . . O . . . | . . O . . . O . . . | . O O O . O O O . . | \n", - ". . . O O . O . . . | . . O . . . O . . . | . . O O . O O . . . | \n", - ". . . O O O . . . . | . . . O . O . . . . | . . . O O O . . . . | \n", - ". . . . . . . . . . | . . . . O . . . . . | . . . . O . . . . . | \n", - ". . . . . . . . . . | . . . . . . . . . . | . . . . . . . . . . | \n", - ". . . . . . . . . . | . . . . . . . . . . | . . . . . . . . . . | \n", + ". . . . . . . . . . | . . . . . . . . . . | . . . . . . . . . . \n", + ". . . . . . . . . . | . . . . O . . . . . | . . . . O . . . . . \n", + ". . . O O O . . . . | . . . O . O . . . . | . . . O O O . . . . \n", + ". . O . O O . . . . | . . O . . . O . . . | . . O O . O O . . . \n", + ". . O . . . O . . . | . . O . . . O . . . | . O O O . O O O . . \n", + ". . . O O . O . . . | . . O . . . O . . . | . . O O . O O . . . \n", + ". . . O O O . . . . | . . . O . O . . . . | . . . O O O . . . . \n", + ". . . . . . . . . . | . . . . O . . . . . | . . . . O . . . . . \n", + ". . . . . . . . . . | . . . . . . . . . . | . . . . . . . . . . \n", + ". . . . . . . . . . | . . . . . . . . . . | . . . . . . . . . . \n", "GEN 9 GEN 10 GEN 11 \n", - ". . . . . . . . . . | . . . . O . . . . . | . . . O O O . . . . | \n", - ". . . O O O . . . . | . . . O O O . . . . | . . O . . . O . . . | \n", - ". . O . . . O . . . | . . O O O O O . . . | . O . . . . . O . . | \n", - ". O . . . . . O . . | . O O . . . O O . . | O . . . O . . . O . | \n", - ". O . . . . . O . . | O O O . . . O O O . | O . . O . O . . O . | \n", - ". O . . . . . O . . | . O O . . . O O . . | O . . . O . . . O . | \n", - ". . O . . . O . . . | . . O O O O O . . . | . O . . . . . O . . | \n", - ". . . O O O . . . . | . . . O O O . . . . | . . O . . . O . . . | \n", - ". . . . . . . . . . | . . . . O . . . . . | . . . O O O . . . . | \n", - ". . . . . . . . . . | . . . . . . . . . . | . . . . . . . . . . | \n" + ". . . . . . . . . . | . . . . O . . . . . | . . . O O O . . . . \n", + ". . . O O O . . . . | . . . O O O . . . . | . . O . . . O . . . \n", + ". . O . . . O . . . | . . O O O O O . . . | . O . . . . . O . . \n", + ". O . . . . . O . . | . O O . . . O O . . | O . . . O . . . O . \n", + ". O . . . . . O . . | O O O . . . O O O . | O . . O . O . . O . \n", + ". O . . . . . O . . | . O O . . . O O . . | O . . . O . . . O . \n", + ". . O . . . O . . . | . . O O O O O . . . | . O . . . . . O . . \n", + ". . . O O O . . . . | . . . O O O . . . . | . . O . . . O . . . \n", + ". . . . . . . . . . | . . . . O . . . . . | . . . O O O . . . . \n", + ". . . . . . . . . . | . . . . . . . . . . | . . . . . . . . . . \n" ] } ], @@ -2048,7 +2048,8 @@ "750 GOTO 770\n", "760 PRINT \"O\";\n", "770 NEXT X\n", - "775 PRINT \"|\";\n", + "772 IF C = 3 THEN 777\n", + "775 PRINT \"|\";\n", "777 NEXT C\n", "780 PRINT\n", "790 NEXT Y\n", From 5e0ecb076684766603c3e9fa87915da13b67b680 Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Thu, 8 Feb 2018 00:27:29 -0800 Subject: [PATCH 24/90] Add files via upload --- ipynb/Snobol.ipynb | 133 +++++++++++++++++++++++---------------------- 1 file changed, 67 insertions(+), 66 deletions(-) diff --git a/ipynb/Snobol.ipynb b/ipynb/Snobol.ipynb index 19e9147..c3db1d9 100644 --- a/ipynb/Snobol.ipynb +++ b/ipynb/Snobol.ipynb @@ -8,7 +8,7 @@ "\n", "# Bad Grade, Good Experience\n", "\n", - "Recently I was asked a question I hadn't thought about before: \n", + "Recently I was asked a question I hadn't thought about in decades: \n", "\n", "> *As a student, did you ever get a bad grade on a programming assignment?* \n", "\n", @@ -20,20 +20,20 @@ "\n", "After studying Snobol a bit, I realized that the expected solution was along these lines:\n", "\n", - "1. Create an empty `dict` (Snobol calls these \"tables\") whose keys will be words and values will be lists of line numbers.\n", + "1. Create an empty hash table whose keys will be words and values will be lists of line numbers.\n", "2. Read the lines of text (tracking the line numbers), split them into words, and build up the list of line numbers for each word.\n", - "3. Convert the table into a two-dimensional `array` where each row has the two columns `[word, line_numbers]`.\n", + "3. Convert the hash table into a two-dimensional array where each row has the two columns `[word, line_numbers]`.\n", "4. Write a function to sort the array alphabetically (`sort` is not built-in to Snobol).\n", "5. Write a function to print the array.\n", "\n", "That would be around 40 to 60 lines of code; an easy task. But I noticed three interesting things about Snobol:\n", "\n", - "* There is an *indirection* operator, `$`, so if the variable `'X'` has the value `\"A\"`, then `'$X = i'` is the same as `'A = i'`.\n", - "* Uninitialized variables are treated as the empty string, so `'A += \"text\"'` works even if we haven't seen `'A'` before.\n", - "* When the program ends, the Snobol interpreter automatically\n", - "prints the values of every variable, sorted alphabetically, as a debugging aid.\n", + "* '`$`' is an *indirection* operator, so if the variable `'word'` has the value `\"A\"`, then `'$word = x'` is the same as `'A = x'`.\n", + "* Uninitialized variables are treated as the empty string, so `'A = A + \"text\"'` works even if we haven't seen `'A'` before.\n", + "* When the program ends, the Snobol interpreter \n", + "prints out each variable (in sorted order), with its value, as a debugging aid.\n", "\n", - "That means I could do away with the `dict` and `array` data structures, eliminating steps 1, 3, 4, and 5, and just do step 2! \n", + "That means I could use `$` to do away with the hash table and array data structures, eliminating steps 1, 3, 4, and 5, and just do step 2! \n", "\n", "# The Concordance Solution\n", "\n", @@ -50,8 +50,8 @@ "source": [ "program = \"\"\"\n", "for i, line in enumerate(input):\n", - " for word in re.findall(r\"\\w+\", line.upper()):\n", - " $word += str(i) + ', '\n", + " for word in re.findall(\"[A-Z]+\", line.upper()):\n", + " $word = $word + i + \", \"\n", "\"\"\"" ] }, @@ -61,38 +61,43 @@ "source": [ "That's just 3 lines, not 40 to 60! \n", "\n", - "To test the program, I'll write a mock Snobol/Python interpreter, which at heart is just a call to the Python interpreter, `exec(program)`, except that it handles the three things I noticed about the Snobol interpreter:\n", + "To test the program, I'll write a mock Snobol/Python interpreter, which at heart is just a call to the Python interpreter, `exec(program)`, except that it handles the three things I mentioned about the Snobol interpreter, plus one more:\n", "\n", - "* `$word` gets translated as `_context[word]`.\n", - "* It calls `exec(program, _context)`, where `_context` is a `defaultdict(str)`, so variables default to `''`.\n", - "* After the `exec` completes, the user-defined variables (but not the built-in ones) are printed." + "1. `$word` gets translated as `_globals[word]`.\n", + "2. The interpreter calls `exec(program, _globals)`, where `_globals` is a `defaultdict` that makes variables default to the empty string.\n", + "3. After the `exec` completes, the user-defined variables (but not the built-in ones) are printed.\n", + "4. Concatenating a string with an integer coerces the `int` to `str` automatically. I'll handle that with a `Str` class.\n" ] }, { "cell_type": "code", "execution_count": 2, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "from collections import defaultdict\n", "import re\n", "\n", "def snobol(program, data=''):\n", - " \"\"\"A Python interpreter with three Snobol-ish features:\n", - " (1) $word indirection; (2) variables default to ''; (3) post-mortem dump.\"\"\"\n", - " program = re.sub(r'\\$(\\w+)', r'_context[\\1]', program) # (1) \n", - " _context = defaultdict(str, vars(__builtins__)) # (2) \n", - " _context.update(re=re, input=data.splitlines(), _context=_context)\n", - " builtins = set(_context)\n", + " \"\"\"A Python interpreter with four Snobol-ish features:\n", + " 1. $word indirection; 2. variables default to empty string; \n", + " 3. post-mortem dump; 4. automatic coercing to string\"\"\"\n", + " program = re.sub(r'\\$(\\w+)', r'_globals[\\1]', program) # 1. \n", + " _globals = defaultdict(Str, vars(__builtins__)) # 4., 2.\n", + " _globals.update(re=re, input=data.splitlines(), _globals=_globals)\n", + " builtins = set(_globals) | {'__builtins__'}\n", " try:\n", - " exec(program, _context)\n", + " exec(program, _globals)\n", " finally:\n", - " print('-' * 79) # (3)\n", - " for name in sorted(_context):\n", - " if not (name in builtins or name == '__builtins__'):\n", - " print('{:10} = {}'.format(name, _context[name]))" + " print('-' * 79) # 3. \n", + " for name in sorted(_globals):\n", + " if name not in builtins:\n", + " print('{:10} = {}'.format(name, _globals[name]))\n", + " \n", + "class Str(str):\n", + " \"String class with automatic coercion for +\"\n", + " def __add__(self, other): return Str(str(self) + str(other))\n", + " def __radd__(self, other): return Str(str(other) + str(self))\n" ] }, { @@ -105,9 +110,7 @@ { "cell_type": "code", "execution_count": 3, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "data = \"\"\"\n", @@ -115,17 +118,17 @@ "Singin' \"Do wah diddy diddy dum diddy do\"\n", "Snappin' her fingers and shufflin' her feet, \n", "Singin' \"Do wah diddy diddy dum diddy do\"\n", - "She looked good (looked good), she looked fine (looked fine)\n", - "She looked good, she looked fine and I nearly lost my mind\n", + "She looked good (looked good), \n", + "She looked fine (looked fine)\n", + "She looked good, she looked fine \n", + "And I nearly lost my mind\n", "\"\"\"" ] }, { "cell_type": "code", "execution_count": 4, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -133,24 +136,24 @@ "text": [ "-------------------------------------------------------------------------------\n", "A = 1, \n", - "AND = 3, 6, \n", + "AND = 3, 8, \n", "DIDDY = 2, 2, 2, 4, 4, 4, \n", "DO = 2, 2, 4, 4, \n", "DOWN = 1, \n", "DUM = 2, 4, \n", "FEET = 3, \n", - "FINE = 5, 5, 6, \n", + "FINE = 6, 6, 7, \n", "FINGERS = 3, \n", - "GOOD = 5, 5, 6, \n", + "GOOD = 5, 5, 7, \n", "HER = 3, 3, \n", - "I = 6, \n", + "I = 8, \n", "JUST = 1, \n", - "LOOKED = 5, 5, 5, 5, 6, 6, \n", - "LOST = 6, \n", - "MIND = 6, \n", - "MY = 6, \n", - "NEARLY = 6, \n", - "SHE = 1, 5, 5, 6, 6, \n", + "LOOKED = 5, 5, 6, 6, 7, 7, \n", + "LOST = 8, \n", + "MIND = 8, \n", + "MY = 8, \n", + "NEARLY = 8, \n", + "SHE = 1, 5, 6, 7, 7, \n", "SHUFFLIN = 3, \n", "SINGIN = 2, 4, \n", "SNAPPIN = 3, \n", @@ -160,8 +163,8 @@ "WAH = 2, 4, \n", "WALKIN = 1, \n", "WAS = 1, \n", - "i = 6\n", - "line = She looked good, she looked fine and I nearly lost my mind\n", + "i = 8\n", + "line = And I nearly lost my mind\n", "word = MIND\n" ] } @@ -174,15 +177,13 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Oops! The post-mortem printout includes the variables `i`, `line`, and `word`. Reluctantly, I increased the program's line count by 33%:" + "**Oops!** The post-mortem printout includes the variables `i`, `line`, and `word`. Reluctantly, I'll increase the program's line count by 33%:" ] }, { "cell_type": "code", "execution_count": 5, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -190,24 +191,24 @@ "text": [ "-------------------------------------------------------------------------------\n", "A = 1, \n", - "AND = 3, 6, \n", + "AND = 3, 8, \n", "DIDDY = 2, 2, 2, 4, 4, 4, \n", "DO = 2, 2, 4, 4, \n", "DOWN = 1, \n", "DUM = 2, 4, \n", "FEET = 3, \n", - "FINE = 5, 5, 6, \n", + "FINE = 6, 6, 7, \n", "FINGERS = 3, \n", - "GOOD = 5, 5, 6, \n", + "GOOD = 5, 5, 7, \n", "HER = 3, 3, \n", - "I = 6, \n", + "I = 8, \n", "JUST = 1, \n", - "LOOKED = 5, 5, 5, 5, 6, 6, \n", - "LOST = 6, \n", - "MIND = 6, \n", - "MY = 6, \n", - "NEARLY = 6, \n", - "SHE = 1, 5, 5, 6, 6, \n", + "LOOKED = 5, 5, 6, 6, 7, 7, \n", + "LOST = 8, \n", + "MIND = 8, \n", + "MY = 8, \n", + "NEARLY = 8, \n", + "SHE = 1, 5, 6, 7, 7, \n", "SHUFFLIN = 3, \n", "SINGIN = 2, 4, \n", "SNAPPIN = 3, \n", @@ -223,8 +224,8 @@ "source": [ "program = \"\"\"\n", "for i, line in enumerate(input):\n", - " for word in re.findall(r\"\\w+\", line.upper()):\n", - " $word += str(i) + ', '\n", + " for word in re.findall(\"[A-Z]+\", line.upper()):\n", + " $word = $word + i + \", \"\n", "del i, line, word\n", "\"\"\"\n", "\n", @@ -235,7 +236,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Looks good to me! \n", + "## Looks good to me! \n", "\n", "But sadly, the grader for the course did not agree, complaining that my program was not extensible: what if I wanted to cover two or more files in one run? What if I wanted the output to have a slightly different format? I argued that [YAGNI](https://en.wikipedia.org/wiki/You_aren%27t_gonna_need_it), and if the requirements\n", "changed, *then* I would write the necessary 40 or 60 lines, but there's no sense doing that until then. The grader was not impressed with my arguments and I got points taken off. \n", @@ -268,7 +269,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.0" + "version": "3.5.3" } }, "nbformat": 4, From 3e4c4e5b87f9e17ef53d6280cad0a2c81b2d95e0 Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Mon, 12 Feb 2018 16:22:47 -0800 Subject: [PATCH 25/90] Add files via upload --- ipynb/Fred Buns.ipynb | 343 +++++++++++++++++++----------------------- 1 file changed, 158 insertions(+), 185 deletions(-) diff --git a/ipynb/Fred Buns.ipynb b/ipynb/Fred Buns.ipynb index 72e4948..f45ecff 100644 --- a/ipynb/Fred Buns.ipynb +++ b/ipynb/Fred Buns.ipynb @@ -18,12 +18,14 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "The [June 15, 2015 post on Bike Snob NYC](http://bikesnobnyc.blogspot.com/2015/06/lets-get-this-show-on-road-once-we-all.html) leads with \"*Let's talk about bike locks.*\" Here's what I want to talk about: in my local bike shop, I saw a combination lock called *WordLock®*,\n", + "The [June 15, 2015 post](http://bikesnobnyc.blogspot.com/2015/06/lets-get-this-show-on-road-once-we-all.html) on *Bike Snob NYC* leads with \"*Let's talk about bike locks.*\" Here's what I want to talk about: in my local bike shop, I saw a combination lock called *WordLock®*,\n", "which replaces digits with letters. I classified this as a Fred lock,\n", - "\"[Fred](http://bikesnobnyc.blogspot.com/2014/06/a-fred-too-far.html)\" being the term for an amateurish cyclist with the wrong equipment.\n", + "\"[Fred](http://bikesnobnyc.blogspot.com/2014/06/a-fred-too-far.html)\" being the term for an amateurish cyclist with inappropriate equipment.\n", "I tried the combination \"FRED,\" and was amused with the result:\n", "\n", - "![](http://norvig.com/ipython/fredbuns.jpg)\n", + "

\n", + "

\n", + "\n", "\n", "FRED BUNS! Naturally I set all the other locks on the rack to FRED BUNS as well. But my curiosity was raised ... \n", "\n", @@ -36,14 +38,14 @@ "Could different letters make words in every horizontal line?\n", "5. Is it a coincidence that the phrase \"FRED BUNS\" appears, or was it planted there by mischievous WordLock® designers? \n", "\n", - "Vocabulary\n", - "===\n", + "# Vocabulary\n", + "\n", "\n", "Before we can answer the questions, we'll need to be clear about the vocabulary of the problem and how to represent concepts in code:\n", "\n", "* **Lock**: For our purposes a lock can be modeled as a `list` of 4 **tumblers**. \n", "* **Tumbler:** Each tumbler has 10 distinct letters. I will represent a tumbler as a `str` of 10 letters.\n", - "* **Combination**: Choosing a letter from each tumbler gives a combination, such as \"FRED\" or \"BUNS\". There are 104 = 10,000 combinations.\n", + "* **Combination**: Choosing a letter from each tumbler gives a combination, such as \"FRED\" or \"BUNS\". There are 410 = 10,000 combinations.\n", "* **Word**: Some combinations (such as \"BUNS\") are *words*; others (such as \"SOMN\") are not words. We'll need a collection of dictionary words.\n", "\n", "Now on to the code! First the imports I will need and the vocabulary concepts:" @@ -133,7 +135,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "I would prefer to deal with the string `'BUNS'` rather than the tuple `('B', 'U', 'N', 'S')`, so I will define a function, `combinations`, that takes a lock as input and returns a list of strings representing the combinations:" + "I would prefer to deal with the string `'BUNS'` rather than the tuple `('B', 'U', 'N', 'S')`, so I will define a function, `combinations`, that takes a lock as input and returns a set of strings representing the combinations:" ] }, { @@ -146,7 +148,7 @@ "source": [ "def combinations(lock):\n", " \"Return a list of all combinations that can be made by this lock.\"\n", - " return [Word(combo) for combo in itertools.product(*lock)]" + " return {Word(combo) for combo in itertools.product(*lock)}" ] }, { @@ -159,22 +161,22 @@ { "data": { "text/plain": [ - "['FRED',\n", - " 'FRES',\n", - " 'FRND',\n", - " 'FRNS',\n", - " 'FUED',\n", - " 'FUES',\n", - " 'FUND',\n", - " 'FUNS',\n", - " 'BRED',\n", + "{'BRED',\n", " 'BRES',\n", " 'BRND',\n", " 'BRNS',\n", " 'BUED',\n", " 'BUES',\n", " 'BUND',\n", - " 'BUNS']" + " 'BUNS',\n", + " 'FRED',\n", + " 'FRES',\n", + " 'FRND',\n", + " 'FRNS',\n", + " 'FUED',\n", + " 'FUES',\n", + " 'FUND',\n", + " 'FUNS'}" ] }, "execution_count": 5, @@ -286,7 +288,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "So that means that no lock could ever make more than 4,360 words. Let's define `words_from(lock)`:" + "So that means that no lock could ever make more than 4,360 words. Let's define `words_from(lock)` to be the intersection of the dictionary words and the words that can be made with a lock:" ] }, { @@ -299,7 +301,7 @@ "source": [ "def words_from(lock): \n", " \"A list of words that can be made by lock.\"\n", - " return [c for c in combinations(lock) if c in WORDS]" + " return WORDS & combinations(lock)" ] }, { @@ -312,7 +314,7 @@ { "data": { "text/plain": [ - "['FRED', 'FUND', 'FUNS', 'BRED', 'BUND', 'BUNS']" + "{'BRED', 'BUND', 'BUNS', 'FRED', 'FUND', 'FUNS'}" ] }, "execution_count": 11, @@ -328,8 +330,6 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "*Note*: An alternative is to represent a collection of words as a `set`; then `words_from` could do `return combinations(lock) & WORDS`. \n", - "\n", "I will also introduce the function `show` to print out a lock and its words:" ] }, @@ -442,7 +442,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Random Locks" + "# Baseline: Random Locks" ] }, { @@ -494,7 +494,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Wow, that's not very many words. Let's repeat 100 times and take the best one, with \"best\" determined by the function `word_count`:" + "Wow, that's not very many words. Let's repeat 100 times and take the best one, with \"best\" meaning the maximum `word_count`:" ] }, { @@ -542,7 +542,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Question 2: More Words (via Greedy Locks)" + "# Question 2: More Words (via Greedy Lock)" ] }, { @@ -563,8 +563,8 @@ "data": { "text/plain": [ "[('S', 373),\n", - " ('T', 268),\n", " ('P', 268),\n", + " ('T', 268),\n", " ('B', 267),\n", " ('D', 251),\n", " ('C', 248),\n", @@ -641,7 +641,7 @@ " # Then update words to only include the ones that can be made with this tumbler\n", " counter = Counter(word[i] for word in words)\n", " tumbler = Tumbler(L for (L, _) in counter.most_common(c))\n", - " words = [w for w in words if w[i] in tumbler]\n", + " words = {w for w in words if w[i] in tumbler}\n", " lock.append(tumbler)\n", " return lock" ] @@ -657,7 +657,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Lock: STPBDCLMAR OAIEURLHYN RNALEOTISM SETADNLKPY\n", + "Lock: SPTBDCLMAR OAIEURLHYN RNALEOTISM SETADNLKPY\n", "Count: 1177\n", "Words: AALS AEON AERY AHED AHIS AHOY AILA AILS AIMS AINS AIRN AIRS AIRT AIRY AITS ALAE ALAN ALAS ALEA ALEE ALEK ALES ALIA ALIT ALLS ALLY ALMA ALME ALMS ALOE ALTS ANAL ANAS ANAY ANES ANIL ANIS ANNA ANNE ANOA ANON ANSA ANTA ANTE ANTS ARAK AREA ARES ARIA ARID ARIE ARIL ARMS ARMY ARON ARSE ARTS ARTY AULD AUNT AURA AYAN AYES AYIN AYLA BAAL BAAS BAIL BAIT BALD BALE BALK BALL BALS BAMS BAND BANE BANK BANS BARD BARE BARK BARN BARS BASE BASK BASS BAST BATE BATS BATT BEAD BEAK BEAN BEAT BEEN BEEP BEES BEET BELL BELS BELT BEMA BEND BENE BENS BENT BERK BEST BETA BETS BIAS BILE BILK BILL BIMA BIND BINE BINS BINT BIOS BIRD BIRK BIRL BISE BISK BITE BITS BITT BLAE BLAT BLED BLET BLIN BLIP BLOT BOAS BOAT BOIL BOLA BOLD BOLE BOLL BOLT BOND BONE BONK BONY BOOK BOON BOOS BOOT BORA BORE BORK BORN BORT BOSK BOSS BOTA BOTS BOTT BRAD BRAE BRAN BRAS BRAT BRAY BREA BRED BREE BREN BRIA BRIE BRIN BRIS BRIT BROS BULK BULL BUMP BUMS BUNA BUND BUNK BUNN BUNS BUNT BUOY BURA BURD BURL BURN BURP BURS BURY BUSK BUSS BUST BUSY BUTE BUTS BUTT BYES BYRE BYRL BYTE CAEL CAID CAIN CALE CALK CALL CAME CAMP CAMS CANE CANS CANT CARA CARD CARE CARK CARL CARN CARP CARS CART CASA CASE CASK CAST CATE CATS CEES CEIL CELL CELS CELT CENT CERE CESS CETE CHAD CHAP CHAT CHAY CHIA CHID CHIN CHIP CHIS CHIT CHON CHOP CIAN CINE CION CIRE CIST CITE CITY CLAD CLAN CLAP CLAY CLIP CLOD CLON CLOP CLOT CLOY COAL COAT COED COEN COIL COIN COLA COLD COLE COLS COLT COLY COMA COME COMP CONE CONK CONN CONS CONY COOK COOL COON COOP COOS COOT CORA CORD CORE CORK CORN CORS CORY COSS COST COSY COTE COTS CRAP CRED CRIS CRIT CROP CUED CUES CULL CULT CUNT CURD CURE CURL CURN CURS CURT CUSK CUSP CUSS CUTE CUTS CYAN CYMA CYME CYST DAIS DALE DALS DAME DAMN DAMP DAMS DANA DANE DANK DANS DARE DARK DARN DART DATA DATE DEAD DEAL DEAN DEED DEEP DEES DEET DEIL DELE DELL DELS DELT DEME DEMY DENE DENS DENT DENY DEON DERE DESK DHAK DHAL DIAL DIED DIEL DIES DIET DILL DIME DIMS DINA DINE DINK DINS DINT DIOL DION DIRE DIRK DIRL DIRT DISK DISS DITA DITE DITS DOAT DOES DOIT DOLE DOLL DOLS DOLT DOME DOMS DONA DONE DONS DORE DORK DORP DORS DORY DOSE DOSS DOST DOTE DOTS DOTY DRAT DRAY DREE DREK DRIP DROP DUAD DUAL DUEL DUES DUET DUIT DULL DULY DUMA DUMP DUNE DUNK DUNS DUNT DUOS DURA DURE DURN DUSK DUST DUTY DYAD DYED DYES DYNE LAID LAIN LALL LAMA LAME LAMP LAMS LANA LAND LANE LANK LARA LARD LARK LARS LASE LASS LAST LATE LATS LEAD LEAK LEAL LEAN LEAP LEAS LEEK LEES LEET LEIA LEIS LELA LENA LEND LENS LENT LEON LESS LEST LETS LIAN LIED LIEN LIES LILA LILT LILY LIMA LIME LIMN LIMP LIMY LINA LINE LINK LINN LINS LINT LINY LION LIRA LIRE LISA LISP LIST LITE LITS LOAD LOAN LOID LOIN LOLA LOLL LONE LOOK LOON LOOP LOOS LOOT LORD LORE LORN LORY LOSE LOSS LOST LOTA LOTS LUES LUIS LULL LUMA LUMP LUMS LUNA LUNE LUNK LUNT LUNY LURE LURK LUST LUTE LYES LYLA LYLE LYRA LYRE LYSE MAES MAIA MAID MAIL MAIN MALE MALL MALT MAMA MANA MANE MANS MANY MARA MARE MARK MARL MARS MART MARY MASA MASK MASS MAST MATE MATS MATT MEAD MEAL MEAN MEAT MEED MEEK MEET MELD MELL MELS MELT MEME MEMS MEND MERE MERK MERL MESA MESS META METE MHOS MIEN MILA MILD MILE MILK MILL MILS MILT MIME MINA MIND MINE MINK MINT MIRA MIRE MIRK MIRS MIRY MISE MISS MIST MITE MITT MITY MOAN MOAS MOAT MOIL MOLA MOLD MOLE MOLL MOLS MOLT MOLY MOME MOMS MONA MONK MONS MONY MOOD MOOL MOON MOOS MOOT MORA MORE MORN MORS MORT MOSK MOSS MOST MOTE MOTS MOTT MULE MULL MUMP MUMS MUNS MUON MURA MURE MURK MUSA MUSE MUSK MUSS MUST MUTE MUTS MUTT MYLA MYNA MYRA PAID PAIK PAIL PAIN PALE PALL PALP PALS PALY PAMS PANE PANS PANT PARA PARD PARE PARK PARS PART PASE PASS PAST PATE PATS PATY PEAK PEAL PEAN PEAS PEAT PEED PEEK PEEL PEEN PEEP PEES PEIN PELE PELT PEND PENS PENT PEON PERE PERK PERP PERT PEST PETS PHAT PHIS PHON PHOT PIAL PIAN PIAS PIED PIES PILE PILL PILY PIMA PIMP PINA PINE PINK PINS PINT PINY PION PIRN PISS PITA PITS PITY PLAN PLAT PLAY PLEA PLED PLIE PLOD PLOP PLOT PLOY POET POIS POLE POLL POLS POLY POME POMP POMS POND PONE PONS PONY POOD POOL POON POOP POOS PORE PORK PORN PORT POSE POST POSY POTS PRAT PRAY PREE PREP PREY PROA PROD PROP PROS PULA PULE PULL PULP PULS PUMA PUMP PUNA PUNK PUNS PUNT PUNY PURE PURL PURS PUSS PUTS PUTT PYAS PYES PYIN PYRE RAIA RAID RAIL RAIN RAIS RALE RAMP RAMS RAND RANK RANT RARE RASE RASP RATE RATS READ REAL REAP REED REEK REEL REES REID REIN REIS RELY REMS REMY REND RENE RENT REST RETE RETS RHEA RHOS RIAL RIAN RIAS RIEL RILE RILL RIME RIMS RIMY RIND RINK RINS RIOT RISE RISK RITA RITE ROAD ROAN ROES ROIL ROLE ROLL ROME ROMP ROMS ROOD ROOK ROOT RORY ROSA ROSE ROSS ROSY ROTA ROTE ROTL ROTS RUED RUES RUIN RULE RULY RUMP RUMS RUNE RUNS RUNT RUSE RUSK RUST RUTS RYAN RYAS RYES RYND RYOT SAAD SAID SAIL SAIN SALE SALL SALP SALS SALT SAME SAMP SANA SAND SANE SANK SANS SARA SARD SARK SASS SATE SEAL SEAN SEAS SEAT SEED SEEK SEEL SEEN SEEP SEES SEIS SELL SELS SEME SEND SENE SENT SERA SERE SERS SETA SETS SETT SHAD SHAE SHAT SHAY SHEA SHED SHES SHIN SHIP SHIT SHOD SHOE SHOP SHOT SIAL SILD SILK SILL SILT SIMA SIMP SIMS SINE SINK SINS SIRE SIRS SITE SITS SLAP SLAT SLAY SLED SLID SLIP SLIT SLOE SLOP SLOT SNAP SNED SNIP SNIT SNOT SOAK SOAP SOIL SOLA SOLD SOLE SOLS SOMA SOME SOMS SONE SONS SOOK SOON SOOT SORA SORD SORE SORN SORT SOTS SRIS SUED SUES SUET SUIT SULK SUMP SUMS SUNK SUNN SUNS SURA SURD SURE SUSS SYED SYNE TAEL TAIL TAIN TALA TALE TALK TALL TAME TAMP TAMS TANK TANS TAOS TARA TARE TARN TARP TARS TART TASK TASS TATE TATS TEAK TEAL TEAS TEAT TEED TEEL TEEN TEES TELA TELE TELL TELS TEMP TEND TENS TENT TERN TESS TEST TETS THAE THAN THAT THEA THEE THEN THEY THIN THIS TIED TIES TILE TILL TILS TILT TIME TINA TINE TINS TINT TINY TIRE TIRL TITS TOAD TOEA TOED TOES TOIL TOIT TOLA TOLD TOLE TOLL TOME TOMS TONE TONS TONY TOOK TOOL TOON TOOT TORA TORE TORN TORS TORT TORY TOSS TOST TOTE TOTS TRAD TRAE TRAP TRAY TREE TREK TRES TRET TREY TRIP TROD TROP TROT TROY TUIS TULE TUMP TUNA TUNE TUNS TURD TURK TURN TUSK TUTS TYEE TYES TYIN TYNE TYRE\n" ] @@ -742,7 +742,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Lock: STPBDCLMWF OAIEURLHYP RNALEOTISC SETADNLKHY\n", + "Lock: SPTBDCLMWF OAIEURLHYP RNALEOTISC SETADNLKHY\n", "Count: 1240\n", "Words: BAAL BAAS BACH BACK BAIL BAIT BALD BALE BALK BALL BALS BAND BANE BANK BANS BARD BARE BARK BARN BARS BASE BASH BASK BASS BAST BATE BATH BATS BATT BEAD BEAK BEAN BEAT BECK BEEN BEES BEET BELL BELS BELT BEND BENE BENS BENT BERK BEST BETA BETH BETS BIAS BICE BILE BILK BILL BIND BINE BINS BINT BIOS BIRD BIRK BIRL BISE BISK BITE BITS BITT BLAE BLAH BLAT BLED BLET BLIN BLOT BOAS BOAT BOCK BOIL BOLA BOLD BOLE BOLL BOLT BOND BONE BONK BONY BOOK BOON BOOS BOOT BORA BORE BORK BORN BORT BOSH BOSK BOSS BOTA BOTH BOTS BOTT BRAD BRAE BRAN BRAS BRAT BRAY BREA BRED BREE BREN BRIA BRIE BRIN BRIS BRIT BROS BUCK BULK BULL BUNA BUND BUNK BUNN BUNS BUNT BUOY BURA BURD BURL BURN BURS BURY BUSH BUSK BUSS BUST BUSY BUTE BUTS BUTT BYES BYRE BYRL BYTE CACA CAEL CAID CAIN CALE CALK CALL CANE CANS CANT CARA CARD CARE CARK CARL CARN CARS CART CASA CASE CASH CASK CAST CATE CATS CECA CEES CEIL CELL CELS CELT CENT CERE CESS CETE CHAD CHAT CHAY CHIA CHID CHIN CHIS CHIT CHON CIAN CINE CION CIRE CIST CITE CITY CLAD CLAN CLAY CLOD CLON CLOT CLOY COAL COAT COCA COCK COED COEN COIL COIN COLA COLD COLE COLS COLT COLY CONE CONK CONN CONS CONY COOK COOL COON COOS COOT CORA CORD CORE CORK CORN CORS CORY COSH COSS COST COSY COTE COTS CRED CRIS CRIT CUED CUES CULL CULT CUNT CURD CURE CURL CURN CURS CURT CUSK CUSS CUTE CUTS CYAN CYST DACE DAIS DALE DALS DANA DANE DANK DANS DARE DARK DARN DART DASH DATA DATE DEAD DEAL DEAN DECK DEED DEES DEET DEIL DELE DELL DELS DELT DENE DENS DENT DENY DEON DERE DESK DHAK DHAL DIAL DICE DICK DIED DIEL DIES DIET DILL DINA DINE DINK DINS DINT DIOL DION DIRE DIRK DIRL DIRT DISH DISK DISS DITA DITE DITS DOAT DOCK DOCS DOES DOIT DOLE DOLL DOLS DOLT DONA DONE DONS DORE DORK DORS DORY DOSE DOSS DOST DOTE DOTH DOTS DOTY DRAT DRAY DREE DREK DUAD DUAL DUCE DUCK DUCT DUEL DUES DUET DUIT DULL DULY DUNE DUNK DUNS DUNT DUOS DURA DURE DURN DUSK DUST DUTY DYAD DYED DYES DYNE FACE FACT FAIL FAIN FALL FANE FANS FARD FARE FARL FART FASH FAST FATE FATS FEAL FEAT FECK FEED FEEL FEES FEET FELL FELT FEND FENS FEOD FERE FERN FESS FEST FETA FETE FETS FIAT FICE FILA FILE FILL FILS FIND FINE FINK FINN FINS FIRE FIRN FIRS FISH FIST FITS FLAK FLAN FLAT FLAY FLEA FLED FLEE FLEY FLIT FLOE FOAL FOES FOIL FOIN FOLD FOLK FOND FONS FONT FOOD FOOL FOOT FORA FORD FORE FORK FORT FOSS FRAE FRAT FRAY FRED FREE FRET FRIT FROE FUCK FUEL FULL FUND FUNK FUNS FURL FURS FURY FUSE FUSS FYCE LACE LACK LACS LACY LAID LAIN LALL LANA LAND LANE LANK LARA LARD LARK LARS LASE LASH LASS LAST LATE LATH LATS LEAD LEAH LEAK LEAL LEAN LEAS LECH LEEK LEES LEET LEIA LEIS LELA LENA LEND LENS LENT LEON LESS LEST LETS LIAN LICE LICH LICK LIED LIEN LIES LILA LILT LILY LINA LINE LINK LINN LINS LINT LINY LION LIRA LIRE LISA LIST LITE LITS LOAD LOAN LOCA LOCH LOCK LOID LOIN LOLA LOLL LONE LOOK LOON LOOS LOOT LORD LORE LORN LORY LOSE LOSS LOST LOTA LOTH LOTS LUCA LUCE LUCK LUCY LUES LUIS LULL LUNA LUNE LUNK LUNT LUNY LURE LURK LUSH LUST LUTE LYCH LYES LYLA LYLE LYRA LYRE LYSE MACE MACH MACK MACS MACY MAES MAIA MAID MAIL MAIN MALE MALL MALT MANA MANE MANS MANY MARA MARE MARK MARL MARS MART MARY MASA MASH MASK MASS MAST MATE MATH MATS MATT MEAD MEAL MEAN MEAT MEED MEEK MEET MELD MELL MELS MELT MEND MERE MERK MERL MESA MESH MESS META METE METH MHOS MIAH MICA MICE MICK MICS MIEN MILA MILD MILE MILK MILL MILS MILT MINA MIND MINE MINK MINT MIRA MIRE MIRK MIRS MIRY MISE MISS MIST MITE MITT MITY MOAN MOAS MOAT MOCK MOCS MOIL MOLA MOLD MOLE MOLL MOLS MOLT MOLY MONA MONK MONS MONY MOOD MOOL MOON MOOS MOOT MORA MORE MORN MORS MORT MOSH MOSK MOSS MOST MOTE MOTH MOTS MOTT MUCH MUCK MULE MULL MUNS MUON MURA MURE MURK MUSA MUSE MUSH MUSK MUSS MUST MUTE MUTS MUTT MYAH MYCS MYLA MYNA MYRA MYTH PACA PACE PACK PACS PACT PACY PAID PAIK PAIL PAIN PALE PALL PALS PALY PANE PANS PANT PARA PARD PARE PARK PARS PART PASE PASH PASS PAST PATE PATH PATS PATY PEAK PEAL PEAN PEAS PEAT PECH PECK PECS PEED PEEK PEEL PEEN PEES PEIN PELE PELT PEND PENS PENT PEON PERE PERK PERT PEST PETS PHAT PHIS PHON PHOT PIAL PIAN PIAS PICA PICE PICK PICS PIED PIES PILE PILL PILY PINA PINE PINK PINS PINT PINY PION PIRN PISH PISS PITA PITH PITS PITY PLAN PLAT PLAY PLEA PLED PLIE PLOD PLOT PLOY POCK POET POIS POLE POLL POLS POLY POND PONE PONS PONY POOD POOH POOL POON POOS PORE PORK PORN PORT POSE POSH POST POSY POTS PRAT PRAY PREE PREY PROA PROD PROS PUCE PUCK PULA PULE PULL PULS PUNA PUNK PUNS PUNT PUNY PURE PURL PURS PUSH PUSS PUTS PUTT PYAS PYES PYIN PYRE SAAD SACK SACS SAID SAIL SAIN SALE SALL SALS SALT SANA SAND SANE SANK SANS SARA SARD SARK SASH SASS SATE SEAL SEAN SEAS SEAT SECS SECT SEED SEEK SEEL SEEN SEES SEIS SELL SELS SEND SENE SENT SERA SERE SERS SETA SETH SETS SETT SHAD SHAE SHAH SHAT SHAY SHEA SHED SHES SHIN SHIT SHOD SHOE SHOT SIAL SICE SICK SICS SILD SILK SILL SILT SINE SINH SINK SINS SIRE SIRS SITE SITH SITS SLAT SLAY SLED SLID SLIT SLOE SLOT SOAK SOCA SOCK SOIL SOLA SOLD SOLE SOLS SONE SONS SOOK SOON SOOT SORA SORD SORE SORN SORT SOTH SOTS SPAE SPAN SPAS SPAT SPAY SPED SPIK SPIN SPIT SPOT SPRY SRIS SUCH SUCK SUED SUES SUET SUIT SULK SUNK SUNN SUNS SURA SURD SURE SUSS SYCE SYED SYNE TACE TACH TACK TACT TAEL TAIL TAIN TALA TALE TALK TALL TANK TANS TAOS TARA TARE TARN TARS TART TASK TASS TATE TATS TEAK TEAL TEAS TEAT TECH TEED TEEL TEEN TEES TELA TELE TELL TELS TEND TENS TENT TERN TESS TEST TETH TETS THAE THAN THAT THEA THEE THEN THEY THIN THIS TICK TICS TIED TIES TILE TILL TILS TILT TINA TINE TINS TINT TINY TIRE TIRL TITS TOAD TOEA TOED TOES TOIL TOIT TOLA TOLD TOLE TOLL TONE TONS TONY TOOK TOOL TOON TOOT TORA TORE TORN TORS TORT TORY TOSH TOSS TOST TOTE TOTS TRAD TRAE TRAY TREE TREK TRES TRET TREY TROD TROT TROY TUCK TUIS TULE TUNA TUNE TUNS TURD TURK TURN TUSH TUSK TUTS TYCE TYEE TYES TYIN TYNE TYRE WACK WAES WAIL WAIN WAIT WALE WALK WALL WALY WAND WANE WANK WANS WANT WANY WARD WARE WARK WARN WARS WART WARY WASH WAST WATS WATT WEAK WEAL WEAN WEED WEEK WEEL WEEN WEES WEET WELD WELL WELT WEND WENS WENT WERE WERT WEST WETS WHAT WHEE WHEN WHET WHEY WHID WHIN WHIT WHOA WICH WICK WILD WILE WILL WILT WILY WIND WINE WINK WINS WINY WIRE WIRY WISE WISH WISS WIST WITE WITH WITS WOAD WOES WOLD WONK WONS WONT WOOD WOOL WOOS WORD WORE WORK WORN WORT WOST WOTS WREN WRIT WUSS WYCH WYES WYLE WYND WYNN WYNS WYTE\n" ] @@ -756,7 +756,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "How about starting from a random lock? " + "We got up to 1240 words, an improvement of 5%, but can we go beyond that? I'll improve 50 random locks (this will take around 7 minutes):" ] }, { @@ -770,41 +770,13 @@ "name": "stdout", "output_type": "stream", "text": [ - "Lock: TMSLBPFWCD AEHYLORIWU CNATELISRO LDSYANKETH\n", - "Count: 1240\n", - "Words: BAAL BAAS BACH BACK BAIL BAIT BALD BALE BALK BALL BALS BAND BANE BANK BANS BARD BARE BARK BARN BARS BASE BASH BASK BASS BAST BATE BATH BATS BATT BEAD BEAK BEAN BEAT BECK BEEN BEES BEET BELL BELS BELT BEND BENE BENS BENT BERK BEST BETA BETH BETS BIAS BICE BILE BILK BILL BIND BINE BINS BINT BIOS BIRD BIRK BIRL BISE BISK BITE BITS BITT BLAE BLAH BLAT BLED BLET BLIN BLOT BOAS BOAT BOCK BOIL BOLA BOLD BOLE BOLL BOLT BOND BONE BONK BONY BOOK BOON BOOS BOOT BORA BORE BORK BORN BORT BOSH BOSK BOSS BOTA BOTH BOTS BOTT BRAD BRAE BRAN BRAS BRAT BRAY BREA BRED BREE BREN BRIA BRIE BRIN BRIS BRIT BROS BUCK BULK BULL BUNA BUND BUNK BUNN BUNS BUNT BUOY BURA BURD BURL BURN BURS BURY BUSH BUSK BUSS BUST BUSY BUTE BUTS BUTT BYES BYRE BYRL BYTE CACA CAEL CAID CAIN CALE CALK CALL CANE CANS CANT CARA CARD CARE CARK CARL CARN CARS CART CASA CASE CASH CASK CAST CATE CATS CECA CEES CEIL CELL CELS CELT CENT CERE CESS CETE CHAD CHAT CHAY CHIA CHID CHIN CHIS CHIT CHON CIAN CINE CION CIRE CIST CITE CITY CLAD CLAN CLAY CLOD CLON CLOT CLOY COAL COAT COCA COCK COED COEN COIL COIN COLA COLD COLE COLS COLT COLY CONE CONK CONN CONS CONY COOK COOL COON COOS COOT CORA CORD CORE CORK CORN CORS CORY COSH COSS COST COSY COTE COTS CRED CRIS CRIT CUED CUES CULL CULT CUNT CURD CURE CURL CURN CURS CURT CUSK CUSS CUTE CUTS CYAN CYST DACE DAIS DALE DALS DANA DANE DANK DANS DARE DARK DARN DART DASH DATA DATE DEAD DEAL DEAN DECK DEED DEES DEET DEIL DELE DELL DELS DELT DENE DENS DENT DENY DEON DERE DESK DHAK DHAL DIAL DICE DICK DIED DIEL DIES DIET DILL DINA DINE DINK DINS DINT DIOL DION DIRE DIRK DIRL DIRT DISH DISK DISS DITA DITE DITS DOAT DOCK DOCS DOES DOIT DOLE DOLL DOLS DOLT DONA DONE DONS DORE DORK DORS DORY DOSE DOSS DOST DOTE DOTH DOTS DOTY DRAT DRAY DREE DREK DUAD DUAL DUCE DUCK DUCT DUEL DUES DUET DUIT DULL DULY DUNE DUNK DUNS DUNT DUOS DURA DURE DURN DUSK DUST DUTY DYAD DYED DYES DYNE FACE FACT FAIL FAIN FALL FANE FANS FARD FARE FARL FART FASH FAST FATE FATS FEAL FEAT FECK FEED FEEL FEES FEET FELL FELT FEND FENS FEOD FERE FERN FESS FEST FETA FETE FETS FIAT FICE FILA FILE FILL FILS FIND FINE FINK FINN FINS FIRE FIRN FIRS FISH FIST FITS FLAK FLAN FLAT FLAY FLEA FLED FLEE FLEY FLIT FLOE FOAL FOES FOIL FOIN FOLD FOLK FOND FONS FONT FOOD FOOL FOOT FORA FORD FORE FORK FORT FOSS FRAE FRAT FRAY FRED FREE FRET FRIT FROE FUCK FUEL FULL FUND FUNK FUNS FURL FURS FURY FUSE FUSS FYCE LACE LACK LACS LACY LAID LAIN LALL LANA LAND LANE LANK LARA LARD LARK LARS LASE LASH LASS LAST LATE LATH LATS LEAD LEAH LEAK LEAL LEAN LEAS LECH LEEK LEES LEET LEIA LEIS LELA LENA LEND LENS LENT LEON LESS LEST LETS LIAN LICE LICH LICK LIED LIEN LIES LILA LILT LILY LINA LINE LINK LINN LINS LINT LINY LION LIRA LIRE LISA LIST LITE LITS LOAD LOAN LOCA LOCH LOCK LOID LOIN LOLA LOLL LONE LOOK LOON LOOS LOOT LORD LORE LORN LORY LOSE LOSS LOST LOTA LOTH LOTS LUCA LUCE LUCK LUCY LUES LUIS LULL LUNA LUNE LUNK LUNT LUNY LURE LURK LUSH LUST LUTE LYCH LYES LYLA LYLE LYRA LYRE LYSE MACE MACH MACK MACS MACY MAES MAIA MAID MAIL MAIN MALE MALL MALT MANA MANE MANS MANY MARA MARE MARK MARL MARS MART MARY MASA MASH MASK MASS MAST MATE MATH MATS MATT MEAD MEAL MEAN MEAT MEED MEEK MEET MELD MELL MELS MELT MEND MERE MERK MERL MESA MESH MESS META METE METH MHOS MIAH MICA MICE MICK MICS MIEN MILA MILD MILE MILK MILL MILS MILT MINA MIND MINE MINK MINT MIRA MIRE MIRK MIRS MIRY MISE MISS MIST MITE MITT MITY MOAN MOAS MOAT MOCK MOCS MOIL MOLA MOLD MOLE MOLL MOLS MOLT MOLY MONA MONK MONS MONY MOOD MOOL MOON MOOS MOOT MORA MORE MORN MORS MORT MOSH MOSK MOSS MOST MOTE MOTH MOTS MOTT MUCH MUCK MULE MULL MUNS MUON MURA MURE MURK MUSA MUSE MUSH MUSK MUSS MUST MUTE MUTS MUTT MYAH MYCS MYLA MYNA MYRA MYTH PACA PACE PACK PACS PACT PACY PAID PAIK PAIL PAIN PALE PALL PALS PALY PANE PANS PANT PARA PARD PARE PARK PARS PART PASE PASH PASS PAST PATE PATH PATS PATY PEAK PEAL PEAN PEAS PEAT PECH PECK PECS PEED PEEK PEEL PEEN PEES PEIN PELE PELT PEND PENS PENT PEON PERE PERK PERT PEST PETS PHAT PHIS PHON PHOT PIAL PIAN PIAS PICA PICE PICK PICS PIED PIES PILE PILL PILY PINA PINE PINK PINS PINT PINY PION PIRN PISH PISS PITA PITH PITS PITY PLAN PLAT PLAY PLEA PLED PLIE PLOD PLOT PLOY POCK POET POIS POLE POLL POLS POLY POND PONE PONS PONY POOD POOH POOL POON POOS PORE PORK PORN PORT POSE POSH POST POSY POTS PRAT PRAY PREE PREY PROA PROD PROS PUCE PUCK PULA PULE PULL PULS PUNA PUNK PUNS PUNT PUNY PURE PURL PURS PUSH PUSS PUTS PUTT PYAS PYES PYIN PYRE SAAD SACK SACS SAID SAIL SAIN SALE SALL SALS SALT SANA SAND SANE SANK SANS SARA SARD SARK SASH SASS SATE SEAL SEAN SEAS SEAT SECS SECT SEED SEEK SEEL SEEN SEES SEIS SELL SELS SEND SENE SENT SERA SERE SERS SETA SETH SETS SETT SHAD SHAE SHAH SHAT SHAY SHEA SHED SHES SHIN SHIT SHOD SHOE SHOT SIAL SICE SICK SICS SILD SILK SILL SILT SINE SINH SINK SINS SIRE SIRS SITE SITH SITS SLAT SLAY SLED SLID SLIT SLOE SLOT SOAK SOCA SOCK SOIL SOLA SOLD SOLE SOLS SONE SONS SOOK SOON SOOT SORA SORD SORE SORN SORT SOTH SOTS SRIS SUCH SUCK SUED SUES SUET SUIT SULK SUNK SUNN SUNS SURA SURD SURE SUSS SWAN SWAT SWAY SWOT SYCE SYED SYNE TACE TACH TACK TACT TAEL TAIL TAIN TALA TALE TALK TALL TANK TANS TAOS TARA TARE TARN TARS TART TASK TASS TATE TATS TEAK TEAL TEAS TEAT TECH TEED TEEL TEEN TEES TELA TELE TELL TELS TEND TENS TENT TERN TESS TEST TETH TETS THAE THAN THAT THEA THEE THEN THEY THIN THIS TICK TICS TIED TIES TILE TILL TILS TILT TINA TINE TINS TINT TINY TIRE TIRL TITS TOAD TOEA TOED TOES TOIL TOIT TOLA TOLD TOLE TOLL TONE TONS TONY TOOK TOOL TOON TOOT TORA TORE TORN TORS TORT TORY TOSH TOSS TOST TOTE TOTS TRAD TRAE TRAY TREE TREK TRES TRET TREY TROD TROT TROY TUCK TUIS TULE TUNA TUNE TUNS TURD TURK TURN TUSH TUSK TUTS TWAE TWAS TWAT TWEE TWIN TWIT TWOS TYCE TYEE TYES TYIN TYNE TYRE WACK WAES WAIL WAIN WAIT WALE WALK WALL WALY WAND WANE WANK WANS WANT WANY WARD WARE WARK WARN WARS WART WARY WASH WAST WATS WATT WEAK WEAL WEAN WEED WEEK WEEL WEEN WEES WEET WELD WELL WELT WEND WENS WENT WERE WERT WEST WETS WHAT WHEE WHEN WHET WHEY WHID WHIN WHIT WHOA WICH WICK WILD WILE WILL WILT WILY WIND WINE WINK WINS WINY WIRE WIRY WISE WISH WISS WIST WITE WITH WITS WOAD WOES WOLD WONK WONS WONT WOOD WOOL WOOS WORD WORE WORK WORN WORT WOST WOTS WREN WRIT WUSS WYCH WYES WYLE WYND WYNN WYNS WYTE\n" + "CPU times: user 6min 50s, sys: 1.44 s, total: 6min 51s\n", + "Wall time: 6min 53s\n" ] } ], "source": [ - "show(improved_lock(random_lock()))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We got up to 1240 words, but can we go beyond? I'll improve 50 random locks, taking 6000 steps each rather than just 3000 (this will take around 15 minutes):" - ] - }, - { - "cell_type": "code", - "execution_count": 27, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "CPU times: user 15min 48s, sys: 9.03 s, total: 15min 57s\n", - "Wall time: 19min 40s\n" - ] - } - ], - "source": [ - "%time improved_locks = [improved_lock(random_lock(seed=i), 6000) for i in range(50)]" + "%time improved_locks = [improved_lock(random_lock(seed=i)) for i in range(50)]" ] }, { @@ -816,7 +788,7 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 27, "metadata": { "collapsed": false }, @@ -824,10 +796,10 @@ { "data": { "text/plain": [ - "Counter({1232: 3, 1235: 5, 1240: 42})" + "Counter({1232: 6, 1235: 5, 1237: 8, 1240: 31})" ] }, - "execution_count": 28, + "execution_count": 27, "metadata": {}, "output_type": "execute_result" } @@ -840,13 +812,13 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "So 42/50 locks got a score of 1240.\n", - "My first reaction to this was that if I discovered 42 different locks with score 1240, then probably there is at least one undiscovered lock with a score above 1240. But a discussion with [Matt Chisholm](https://blog.glyphobet.net/faq) changed my thinking. The key is to realize that some locks that look different are actually the same; they just have the letters in a different order. I define the function `alock` to put each tumbler into alphabetical order (and make the lock be a tuple rather than a list, so that it can be an entry in a `dict` or `set`):" + "So 31/50 locks got a score of 1240.\n", + "My first reaction to this was that if I discovered 31 different locks with score 1240, then probably there is at least one undiscovered lock with a score above 1240. But a discussion with [Matt Chisholm](https://blog.glyphobet.net/faq) changed my thinking. The key is to realize that some locks that look different are actually the same; they just have the letters in a different order. I define the function `alock` to put each tumbler into alphabetical order (and make the lock be a tuple rather than a list, so that it can be an entry in a `dict` or `set`):" ] }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 28, "metadata": { "collapsed": true }, @@ -866,7 +838,7 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 47, "metadata": { "collapsed": false }, @@ -877,10 +849,15 @@ "{('BCDFHLMPST', 'AEHILORUWY', 'ACELMNORST', 'ADEKLNPSTY'): 1232,\n", " ('BCDFLMPSTW', 'AEHILOPRUY', 'ACEILNORST', 'ADEHKLNSTY'): 1240,\n", " ('BCDFLMPSTW', 'AEHILORUWY', 'ACEILNORST', 'ADEHKLNSTY'): 1240,\n", - " ('BCDGLMPSTW', 'AEHILORUWY', 'AEILMNORST', 'ADEKLNPSTY'): 1235}" + " ('BCDGLMPSTW', 'AEHILORUWY', 'AEILMNORST', 'ADEKLNPSTY'): 1235,\n", + " ('BCDHLMPSTW', 'AEHILOPRUY', 'ACEILNPRST', 'ADEHKLNSTY'): 1232,\n", + " ('BCDHLMPSTW', 'AEHILORUWY', 'ACEILNORST', 'ADEHKLNSTY'): 1237,\n", + " ('BCDHLMPSTW', 'AEHILORUWY', 'ACEILNPRST', 'ADEHKLNSTY'): 1232,\n", + " ('BCDLMPRSTW', 'AEHILOPRUY', 'ACEILNPRST', 'ADEHKLNSTY'): 1232,\n", + " ('BCDLMPRSTW', 'AEHILORUWY', 'ACEILNORST', 'ADEHKLNSTY'): 1237}" ] }, - "execution_count": 30, + "execution_count": 47, "metadata": {}, "output_type": "execute_result" } @@ -898,12 +875,12 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "So out of the 50 `improved_locks` there are actually only 4 distinct ones. And only two have a score of 1240:" + "So out of the 50 `improved_locks` there are actually only 9 distinct ones. And only two have a score of 1240:" ] }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 48, "metadata": { "collapsed": false }, @@ -915,14 +892,13 @@ " ('BCDFLMPSTW', 'AEHILORUWY', 'ACEILNORST', 'ADEHKLNSTY')}" ] }, - "execution_count": 31, + "execution_count": 48, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "peaks = {alock(lock) for lock in improved_locks if word_count(lock) == 1240}\n", - "peaks" + "{L for L in _ if word_count(L) == 1240}" ] }, { @@ -931,48 +907,14 @@ "source": [ "These two differ in just one letter (a `P` or a `W` in the second tumbler). \n", "\n", - "This discovery changes my whole thinking about the space of scores for locks. Previously I imagined a spiky \"porcupine-shaped\" landscape, with 42 different peaks hitting a height of 1240. But now I have a different picture of the landscape: a single peak containing the two locks (one with a `P` and one with a `W`), surrounded by rolling hills. To verify this picture, I'll look at all the neighbors of the two peak locks, and see which ones are at least 1240:" - ] - }, - { - "cell_type": "code", - "execution_count": 45, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "{('BCDFLMPSTW', 'AEHILOPRUY', 'ACEILNORST', 'ADEHKLNSTY'): 1240,\n", - " ('BCDFLMPSTW', 'AEHILORUWY', 'ACEILNORST', 'ADEHKLNSTY'): 1240}" - ] - }, - "execution_count": 45, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "alphabetset = set(alphabet)\n", - "\n", - "def neighborhood(lock): \n", - " \"Yield all locks resulting from a change of one letter in one tumbler.\"\n", - " for i in range(len(lock)):\n", - " for new in alphabetset - set(lock[i]):\n", - " for old in lock[i]:\n", - " lock2 = Lock(lock)\n", - " lock2[i] = lock2[i].replace(old, new)\n", - " yield lock2\n", - " \n", - "unique_locks(lock for peak in peaks for lock in neighborhood(peak) if word_count(lock) >= 1240)" + "This discovery changes my whole thinking about the space of scores for locks. Previously I imagined a spiky \"porcupine-shaped\" landscape, with 31 different peaks hitting a height of 1240 (and probably other peaks that we haven't discovered yet). But now I have a different picture of the landscape: a single peak containing the two locks (one with a `P` and one with a `W`), surrounded by rolling hills." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Nothing new. This doesn't prove there is no lock with score over 1240, but it does mean we have looked hard to find one and failed.\n", + "\n", "\n", "# Question 3: Simultaneous Words" ] @@ -981,14 +923,14 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Can we make a lock that spells 10 words simultaneously? One possible approach would be to start with any lock and randomly change it (just as we did with `improved_lock`), but measure improvements by the number of words formed. My intuition is that this approach would work, eventually, but that progress would be very slow, because most random changes to a letter would not make a word.\n", + "Can we make a lock that spells 10 words simultaneously? One possible approach would be to start with any lock and randomly change it (just as we did with `improved_lock`), but measuring improvements by the number of horizontal words formed. My intuition is that this approach would work, eventually, but that progress would be slow, because most random changes to a letter would not make a word.\n", "\n", "An alternative approach is to think of the lock not as a list of 4 vertical tumblers (each with 10 letters), but rather as a list of 10 horizontal words (each with 4 letters). I'll call this the *word list* representation, and note that a lock and a word list are *[matrix transposes](http://en.wikipedia.org/wiki/Transpose)* of each other—they swap rows for columns. There is an [old trick](https://books.google.com/books?id=eH6jBQAAQBAJ&pg=PA574&lpg=PA574&dq=lisp+transpose+matrix&source=bl&ots=Yixwj8m3k4&sig=KoeuJnFhRnJsiD06_Cx56rUOetQ&hl=en&sa=X&ved=0CB4Q6AEwAGoVChMIyM-WiriLxgIVD6OICh2QcwBK#v=onepage&q=transpose%20matrix&f=false) to compute the transpose of a matrix `M` with the expression `zip(*M)`. But `zip` returns tuples; we want strings, so we can define `transpose` as:" ] }, { "cell_type": "code", - "execution_count": 33, + "execution_count": 49, "metadata": { "collapsed": false }, @@ -1006,7 +948,7 @@ }, { "cell_type": "code", - "execution_count": 34, + "execution_count": 50, "metadata": { "collapsed": false }, @@ -1026,7 +968,7 @@ " 'BIKE']" ] }, - "execution_count": 34, + "execution_count": 50, "metadata": {}, "output_type": "execute_result" } @@ -1058,7 +1000,7 @@ }, { "cell_type": "code", - "execution_count": 35, + "execution_count": 51, "metadata": { "collapsed": false }, @@ -1103,7 +1045,7 @@ }, { "cell_type": "code", - "execution_count": 36, + "execution_count": 52, "metadata": { "collapsed": false }, @@ -1111,19 +1053,19 @@ { "data": { "text/plain": [ - "['KNUR',\n", - " 'FLAG',\n", - " 'APES',\n", - " 'EVIL',\n", - " 'COZY',\n", - " 'TICK',\n", - " 'PHON',\n", - " 'LATU',\n", - " 'DUPE',\n", - " 'REFT']" + "['RAID',\n", + " 'ANSH',\n", + " 'OYER',\n", + " 'UPON',\n", + " 'KUDU',\n", + " 'GLUM',\n", + " 'JIMP',\n", + " 'IFFY',\n", + " 'NEVE',\n", + " 'FOAL']" ] }, - "execution_count": 36, + "execution_count": 52, "metadata": {}, "output_type": "execute_result" } @@ -1136,12 +1078,12 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "That was easy! Can we go to 11?" + "That was easy! Can we [go to 11](https://www.youtube.com/watch?v=4xgx4k83zzc)?" ] }, { "cell_type": "code", - "execution_count": 37, + "execution_count": 53, "metadata": { "collapsed": false }, @@ -1149,20 +1091,20 @@ { "data": { "text/plain": [ - "['BRAS',\n", - " 'EMIR',\n", - " 'NIPA',\n", - " 'PESO',\n", - " 'ONYX',\n", - " 'WYNN',\n", - " 'CUKE',\n", - " 'MOLY',\n", - " 'FLOC',\n", - " 'THEM',\n", - " 'HARL']" + "['AMAH',\n", + " 'HARM',\n", + " 'UPDO',\n", + " 'LIVE',\n", + " 'GWEN',\n", + " 'FELT',\n", + " 'MUFF',\n", + " 'ROTI',\n", + " 'SCUP',\n", + " 'EDGY',\n", + " 'BROS']" ] }, - "execution_count": 37, + "execution_count": 53, "metadata": {}, "output_type": "execute_result" } @@ -1199,7 +1141,7 @@ }, { "cell_type": "code", - "execution_count": 38, + "execution_count": 54, "metadata": { "collapsed": false }, @@ -1227,7 +1169,7 @@ }, { "cell_type": "code", - "execution_count": 39, + "execution_count": 55, "metadata": { "collapsed": false }, @@ -1246,7 +1188,7 @@ }, { "cell_type": "code", - "execution_count": 40, + "execution_count": 56, "metadata": { "collapsed": false }, @@ -1267,7 +1209,7 @@ }, { "cell_type": "code", - "execution_count": 41, + "execution_count": 57, "metadata": { "collapsed": false }, @@ -1275,19 +1217,19 @@ { "data": { "text/plain": [ - "['UMAR',\n", - " 'DISH',\n", - " 'TEMP',\n", - " 'JUDE',\n", - " 'WORM',\n", - " 'STOW',\n", - " 'BHUT',\n", - " 'YAGI',\n", - " 'ACTA',\n", - " 'GYPS']" + "['TUBA',\n", + " 'PROF',\n", + " 'AXAL',\n", + " 'SCUD',\n", + " 'YAWN',\n", + " 'FLEY',\n", + " 'EGGS',\n", + " 'BILK',\n", + " 'CHIT',\n", + " 'LEHR']" ] }, - "execution_count": 41, + "execution_count": 57, "metadata": {}, "output_type": "execute_result" } @@ -1310,29 +1252,18 @@ "There is still one unanswered question: did the designers of WordLock® deliberately put \"FRED BUNS\" in, or was it a coincidence? Hacker News reader [emhart](https://news.ycombinator.com/user?id=emhart) (aka the competitive lockpicker Schyler Towne) astutely commented that he had found the [patent](https://www.google.com/patents/US6621405) assigned to WordLock; it describes an algorithm similar to my `greedy_lock`.\n", "After seeing that, I'm inclined to believe that \"FRED BUNS\" is the coincidental result of running the algorithm. On\n", "the other hand, there is a [followup patent](https://www.google.com/patents/US20080053167) that discusses a refinement\n", - "\"wherein the letters on the wheels are configured to spell a first word displayed on a first row of letters and a second word displayed on a second row of letters.\" So the possibility of a two-word phrase was somthing that Wordlock LLc. was aware of.\n", + "\"wherein the letters on the wheels are configured to spell a first word displayed on a first row of letters and a second word displayed on a second row of letters.\" So the possibility of a two-word phrase was something that Wordlock LLc. was aware of.\n", "\n", "We see below that the procedure described in the [patent](https://www.google.com/patents/US6621405) is not quite as good as `greedy_lock`, because the patent states that at each tumbler position \"*the entire word list is scanned*\" to produce the letter frequencies, whereas `greedy_lock` scans only the words that are consistent with the previous tumblers. Because of that difference, `greedy_lock` produces more words, 1177 to 1161:" ] }, { "cell_type": "code", - "execution_count": 42, + "execution_count": 58, "metadata": { "collapsed": false }, - "outputs": [ - { - "data": { - "text/plain": [ - "(1177, 1161)" - ] - }, - "execution_count": 42, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "def greedy_lock_patented(t=4, c=10, words=WORDS):\n", " \"Make a lock with t tumblers, each consisting of the c letters that cover the most words at that position.\"\n", @@ -1342,11 +1273,53 @@ " # Then update words to only include the ones that can be made with this tumbler\n", " counter = Counter(word[i] for word in words)\n", " tumbler = Tumbler(L for (L, _) in counter.most_common(c))\n", - " # words = [w for w in words if w[i] in tumbler] # <<<< The patent does not update the word list\n", + " # words = {w for w in words if w[i] in tumbler} # <<<< The patent does not update the word list\n", " lock.append(tumbler)\n", - " return lock\n", - "\n", - "word_count(greedy_lock()), word_count(greedy_lock_patented())" + " return lock" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "1177" + ] + }, + "execution_count": 59, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "word_count(greedy_lock())" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "1161" + ] + }, + "execution_count": 60, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "word_count(greedy_lock_patented())" ] }, { @@ -1366,7 +1339,7 @@ }, { "cell_type": "code", - "execution_count": 43, + "execution_count": 61, "metadata": { "collapsed": false }, @@ -1377,7 +1350,7 @@ "'pass'" ] }, - "execution_count": 43, + "execution_count": 61, "metadata": {}, "output_type": "execute_result" } @@ -1394,9 +1367,9 @@ " assert len(WORDS) == 4360\n", " \n", " assert fredbuns == ['FB', 'RU', 'EN', 'DS']\n", - " assert combinations(fredbuns) == ['FRED','FRES','FRND','FRNS','FUED','FUES','FUND','FUNS',\n", - " 'BRED','BRES','BRND','BRNS','BUED','BUES','BUND','BUNS']\n", - " assert words_from(fredbuns) == ['FRED', 'FUND', 'FUNS', 'BRED', 'BUND', 'BUNS']\n", + " assert combinations(fredbuns) == {'FRED','FRES','FRND','FRNS','FUED','FUES','FUND','FUNS',\n", + " 'BRED','BRES','BRND','BRNS','BUED','BUES','BUND','BUNS'}\n", + " assert words_from(fredbuns) == {'FRED', 'FUND', 'FUNS', 'BRED', 'BUND', 'BUNS'}\n", " assert \"FRED\" in words_from(wordlock) and \"BUNS\" in words_from(wordlock)\n", "\n", " assert wordlock == ['SPHMTWDLFB', 'LEYHNRUOAI', 'ENMLRTAOSK', 'DSNMPYLKTE']\n", @@ -1427,7 +1400,7 @@ }, { "cell_type": "code", - "execution_count": 48, + "execution_count": 62, "metadata": { "collapsed": false }, @@ -1438,7 +1411,7 @@ "{7, 15, 23, 28, 31, 39, 47, 55, 60, 63, 71, 79, 87, 92, 95}" ] }, - "execution_count": 48, + "execution_count": 62, "metadata": {}, "output_type": "execute_result" } @@ -1447,7 +1420,7 @@ "# Numbers up to 100 that are not the sum of 3 squares\n", "nums = range(11)\n", "sums = {A**2 + B**2 + C**2 for A in nums for B in nums for C in nums}\n", - "set(range(max(nums)**2)) - sums" + "set(range(101)) - sums" ] } ], @@ -1467,7 +1440,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.5.1" + "version": "3.6.0" } }, "nbformat": 4, From 7f2709c6562756253c8d79e2bbe54c500cd3c4d9 Mon Sep 17 00:00:00 2001 From: Matthias Bussonnier Date: Tue, 13 Feb 2018 12:00:49 -0800 Subject: [PATCH 26/90] Fix IPython spelling. It's either upper case I and P, or all lower case. --- ipynb/xkcd1313-part2.ipynb | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/ipynb/xkcd1313-part2.ipynb b/ipynb/xkcd1313-part2.ipynb index 63302a6..6401ae5 100644 --- a/ipynb/xkcd1313-part2.ipynb +++ b/ipynb/xkcd1313-part2.ipynb @@ -1592,7 +1592,7 @@ } }, "source": [ - "An *exhaustive search* considers *every* possible choice of parts, and selects the best solution. On each iteration exhaustive search picks a part (just like greedy search), but then it considers *both* using the part and not using the part. You can see that exhaustive search is almost identical to greedy search, except that it has *two* recursive calls (on lines 7 and 8) instead of *one* (on line 7). (*If you are viewing this in a iPython notebook, not just a web page, you can toggle line numbers by pressing 'ctrl-M L' within a cell.*) How do we choose between the results of the two calls? We need a cost function that we are trying to minimize. (For regex golf the cost of a solution is the length of the string.)" + "An *exhaustive search* considers *every* possible choice of parts, and selects the best solution. On each iteration exhaustive search picks a part (just like greedy search), but then it considers *both* using the part and not using the part. You can see that exhaustive search is almost identical to greedy search, except that it has *two* recursive calls (on lines 7 and 8) instead of *one* (on line 7). (*If you are viewing this in a IPython notebook, not just a web page, you can toggle line numbers by pressing 'ctrl-M L' within a cell.*) How do we choose between the results of the two calls? We need a cost function that we are trying to minimize. (For regex golf the cost of a solution is the length of the string.)" ] }, { From 24fd0b0c8cec6a76a47f55b9530b3be7ae8fe7f7 Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Wed, 14 Mar 2018 13:35:44 -0700 Subject: [PATCH 27/90] Update README.md --- README.md | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/README.md b/README.md index cf2845a..fd10c62 100644 --- a/README.md +++ b/README.md @@ -24,7 +24,7 @@ Some are in Jupyter (IPython) notebooks, some in `.py` files. You can view the f |[WWW: Will Warriors Win?](https://github.com/norvig/pytudes/blob/master/ipynb/WWW.ipynb)
*Golden State Warriors probability of winning the 2016 NBA title.*| |[The Riddler: Battle Royale](https://github.com/norvig/pytudes/blob/master/ipynb/Riddler%20Battle%20Royale.ipynb)
*A puzzle involving allocating your troops and going up against an opponent.*| -|More Serious Math Stuff| +|Math Concepts| |---| |[A Concrete Introduction to Probability](https://github.com/norvig/pytudes/blob/master/ipynb/Probability.ipynb)
*Code and examples of the basic principles of Probability Theory.*| |[Probability, Paradox, and the Reasonable Person Principle](https://github.com/norvig/pytudes/blob/master/ipynb/ProbabilityParadox.ipynb)
*Some classic paradoxes in Probability Theory, and how to think about disagreements.*| @@ -51,6 +51,7 @@ Some are in Jupyter (IPython) notebooks, some in `.py` files. You can view the f |[A Chaos Game with Triangles](https://github.com/norvig/pytudes/blob/master/ipynb/Sierpinski.ipynb)
*A surprising appearance of the Sierpinski triangle in a random walk between vertexes.*| |[The Convex Hull Problem](https://github.com/norvig/pytudes/blob/master/ipynb/Convex%20Hull.ipynb)
*A classic Computer Science Algorithm.*| |[The Traveling Salesperson Problem](https://github.com/norvig/pytudes/blob/master/ipynb/TSP.ipynb)
*Another of the classics.*| +|[Generating Mazes](https://github.com/norvig/pytudes/blob/master/ipynb/Maze.ipynb)
*Make a maze by generating a random tree superimposed on a grid.*| |[Project Euler Utilities](https://github.com/norvig/pytudes/blob/master/ipynb/Project%20Euler%20Utils.ipynb)
*My utility functions for the Project Euler problems, including `Primes` and `Factors`.*| # Index of Python Files From c54685ada2c76261b13af795ecc2386daa7ab98d Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Wed, 14 Mar 2018 13:37:16 -0700 Subject: [PATCH 28/90] Added Maze.ipynb --- ipynb/Maze.ipynb | 456 +++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 456 insertions(+) create mode 100644 ipynb/Maze.ipynb diff --git a/ipynb/Maze.ipynb b/ipynb/Maze.ipynb new file mode 100644 index 0000000..fb19902 --- /dev/null +++ b/ipynb/Maze.ipynb @@ -0,0 +1,456 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "

Peter Norvig
13 March 2018
\n", + "\n", + "# Maze Generation\n", + "\n", + "Let's make some mazes! I'm thinking of mazes like this one, which is a rectangular grid of squares, with walls on some of the sides of squares, and openings on other sides:\n", + "\n", + "![Wikipedia](https://upload.wikimedia.org/wikipedia/commons/thumb/8/88/Maze_simple.svg/475px-Maze_simple.svg.png)\n", + "\n", + "The main constraint is that there should be a path from entrance to exit, and it should be ***fun*** to solve the maze with pencil, paper, and brain power—not too easy, but also not impossible. \n", + "\n", + "As I think about how to model a maze on the computer, it seems like a **graph** is the right model: the nodes of\n", + "the graph are the squares of the grid, and the edges of the graph are the openings between adjacent squares. So what properties of a graph make a good maze?\n", + "- There must be a path from entrance to exit.\n", + "- There must not be too such many paths; maybe it is best if there is only one. \n", + "- Probably the graph should be *singly connected*—there shouldn't be islands of squares that are unreachable from the start. And maybe we want exactly one path between any two squares.\n", + "- The path should have many twists; it would be too easy if it was mostly straight.\n", + "\n", + "I know that a **tree** has all these properties except the last one. So my goal has become: *Superimpose a tree over the grid, covering every square, and make sure the paths are twisty.* Here's how I'll do it:\n", + "\n", + "- Start with a grid with no edges (every square is surrounded by walls on all sides). \n", + "- Add edges (that is, knock down walls) for the entrance at upper left and exit at lower right.\n", + "- Place the root of the tree in some square.\n", + "- Then repeat until the tree covers the whole grid:\n", + " * Select some node already in the tree.\n", + " * Randomly select a neighbor that hasn't been added to the tree yet.\n", + " * Add an edge (knock down the wall) from the node to the neighbor.\n", + " \n", + "In the example below, the root, `A`, has been placed in the upper-left corner, and two branches,\n", + "`A-B-C-D` and `A-b-c-d`, have been randomly chosen (well, not actually random; they are starting to create the same maze as in the diagram above):\n", + "\n", + " o o--o--o--o--o--o--o--o--o--o\n", + " | A b c| | | | | | | |\n", + " o o--o o--o--o--o--o--o--o--o\n", + " | B| | d| | | | | | | |\n", + " o o--o--o--o--o--o--o--o--o--o\n", + " | C D| | | | | | | | |\n", + " o--o--o--o--o--o--o--o--o--o--o\n", + " | | | | | | | | | | |\n", + " o--o--o--o--o--o--o--o--o--o--o\n", + " | | | | | | | | | | |\n", + " o--o--o--o--o--o--o--o--o--o o\n", + " \n", + "Next I select node `d` and extend it to `e` (at which point there are no available neighbors, so `e` will not be selected in the future), and then I select `D` and extend from there all the way to `N`, at each step selecting the node I just added:\n", + "\n", + " o o--o--o--o--o--o--o--o--o--o\n", + " | A b c| | | | | | | |\n", + " o o--o o--o--o--o--o--o--o--o\n", + " | B| e d| | N| | | | | |\n", + " o o--o--o--o o--o--o--o--o--o\n", + " | C D| | | M| | | | | |\n", + " o--o o--o--o o--o--o--o--o--o\n", + " | F E| | K L| | | | | |\n", + " o o--o--o o--o--o--o--o--o--o\n", + " | G H I J| | | | | | |\n", + " o--o--o--o--o--o--o--o--o--o o\n", + " \n", + "Continue like this until every square in the grid has been added to the tree. \n", + "\n", + "\n", + "## Implementing Random Trees\n", + "\n", + "I'll make the following implementation choices:\n", + "\n", + "- A tree will be represented as a list of edges.\n", + "- An `Edge` is a tuple of two nodes. I'll keep them sorted so that `Edge(A, B)` is the same as `Edge(B, A)`.\n", + "- A node in a tree can be anything: a number, a letter, a square, ...\n", + "- The algorithm for `random_tree(nodes, neighbors, pop)` is as follows:\n", + " * We will keep track of three collections:\n", + " - `tree`: a list of edges that constitutes the tree.\n", + " - `nodes`: the set of nodes that have not yet been added to the tree, but will be.\n", + " - `frontier`: a queue of nodes in the tree that are eligible to have an edge added.\n", + " * On each iteration:\n", + " - Use `pop` to pick a `node` from the frontier, and find the neighbors that are not already in the tree.\n", + " - If there are any neighbors, randomly pick one (`nbr`), add `Edge(node, nbr)` to `tree`, remove the\n", + " neighbor from `nodes`, and keep both the node and the neighbor on the frontier. If there are no neighbors,\n", + " drop the node from the frontier.\n", + " * When no `nodes` remain, return `tree`." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "import random\n", + "from collections import deque, namedtuple\n", + "\n", + "def Edge(node1, node2): return tuple(sorted([node1, node2]))\n", + "\n", + "def random_tree(nodes: set, neighbors: callable, pop: callable) -> [Edge]:\n", + " \"Repeat: pop a node and add Edge(node, nbr) until all nodes have been added to tree.\"\n", + " tree = []\n", + " root = nodes.pop()\n", + " frontier = deque([root])\n", + " while nodes:\n", + " node = pop(frontier)\n", + " nbrs = neighbors(node) & nodes\n", + " if nbrs:\n", + " nbr = random.choice(list(nbrs))\n", + " tree.append(Edge(node, nbr))\n", + " nodes.remove(nbr)\n", + " frontier.extend([node, nbr])\n", + " return tree" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Implementing Random Mazes\n", + "\n", + "Now let's use `random_tree` to implement `random_maze`. Some more choices:\n", + "\n", + "* A `Maze` is a named tuple with three fields: the `width` and `height` of the grid, and a list of `edges` between squares. \n", + "* A square is denoted by an `(x, y)` tuple of integer coordinates.\n", + "* The function `neighbors4` gives the four surrounding squares." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "Maze = namedtuple('Maze', 'width, height, edges')\n", + "\n", + "def neighbors4(square):\n", + " \"The 4 neighbors of an (x, y) square.\"\n", + " (x, y) = square\n", + " return {(x + 1, y), (x - 1, y), (x, y + 1), (x, y - 1)}\n", + "\n", + "def squares(width, height): \n", + " \"All squares in a grid of these dimensions.\"\n", + " return {(x, y) for x in range(width) for y in range(height)}\n", + "\n", + "def random_maze(width, height, pop=deque.pop):\n", + " \"Use random_tree to generate a random maze.\"\n", + " nodes = squares(width, height)\n", + " tree = random_tree(nodes, neighbors4, pop)\n", + " return Maze(width, height, tree)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "Maze(width=10, height=5, edges=[((6, 3), (7, 3)), ((6, 2), (6, 3)), ((5, 2), (6, 2)), ((5, 1), (5, 2)), ((5, 1), (6, 1)), ((6, 0), (6, 1)), ((6, 0), (7, 0)), ((7, 0), (8, 0)), ((8, 0), (8, 1)), ((8, 1), (9, 1)), ((9, 0), (9, 1)), ((9, 1), (9, 2)), ((9, 2), (9, 3)), ((9, 3), (9, 4)), ((8, 4), (9, 4)), ((7, 4), (8, 4)), ((6, 4), (7, 4)), ((5, 4), (6, 4)), ((5, 3), (5, 4)), ((4, 3), (5, 3)), ((4, 2), (4, 3)), ((3, 2), (4, 2)), ((3, 2), (3, 3)), ((3, 3), (3, 4)), ((3, 4), (4, 4)), ((2, 4), (3, 4)), ((2, 3), (2, 4)), ((1, 3), (2, 3)), ((1, 2), (1, 3)), ((1, 2), (2, 2)), ((2, 1), (2, 2)), ((2, 1), (3, 1)), ((3, 1), (4, 1)), ((4, 0), (4, 1)), ((3, 0), (4, 0)), ((2, 0), (3, 0)), ((1, 0), (2, 0)), ((1, 0), (1, 1)), ((0, 1), (1, 1)), ((0, 1), (0, 2)), ((0, 2), (0, 3)), ((0, 3), (0, 4)), ((0, 4), (1, 4)), ((0, 0), (0, 1)), ((4, 0), (5, 0)), ((8, 3), (8, 4)), ((8, 2), (8, 3)), ((7, 2), (8, 2)), ((7, 1), (7, 2))])" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "random_maze(10,5)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "That's not very pretty to look at. I'm going to need a way to visualize a maze.\n", + "\n", + "# Printing a maze" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "o o--o--o--o--o--o--o--o--o--o\n", + "| | | |\n", + "o o o--o o--o--o o o--o o\n", + "| | | | | | |\n", + "o o--o o--o o o--o--o o o\n", + "| | | | | |\n", + "o o--o o--o o o--o--o--o o\n", + "| | | | | | |\n", + "o o o--o o--o o o--o o--o\n", + "| | | | |\n", + "o--o--o--o--o--o--o--o--o--o o\n" + ] + } + ], + "source": [ + "def print_maze(maze, dot='o', lin='--', bar='|', sp=' '):\n", + " \"Print maze in ASCII.\"\n", + " exit = Edge((maze.width-1, maze.height-1), (maze.width-1, maze.height))\n", + " edges = set(maze.edges) | {exit}\n", + " print(dot + sp + lin.join(dot * maze.width)) # Top line, including entrance\n", + " def vert_wall(x, y): return (' ' if Edge((x, y), (x+1, y)) in edges else bar)\n", + " def horz_wall(x, y): return (sp if Edge((x, y), (x, y+1)) in edges else lin)\n", + " for y in range(maze.height):\n", + " print(bar + cat(sp + vert_wall(x, y) for x in range(maze.width)))\n", + " print(dot + cat(horz_wall(x, y) + dot for x in range(maze.width)))\n", + " \n", + "cat = ''.join\n", + " \n", + "print_maze(random_maze(10, 5))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "*Much better!* But can I do better still?\n", + "\n", + "# Plotting a maze\n", + "\n", + "I'll use `matplotlib` to plot lines where the edges aren't:" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "%matplotlib inline\n", + "import matplotlib.pyplot as plt\n", + "\n", + "def plot_maze(maze):\n", + " \"Plot a maze by drawing lines between adjacent squares, except for pairs in maze.edges\"\n", + " plt.figure(figsize=(8, 4))\n", + " plt.axis('off')\n", + " plt.axes().set_aspect('equal', 'datalim')\n", + " plt.gca().invert_yaxis()\n", + " w, h = maze.width, maze.height\n", + " exits = {Edge((0, 0), (0, -1)), Edge((w-1, h-1), (w-1, h))}\n", + " edges = set(maze.edges) | exits\n", + " for sq in squares(w, h):\n", + " for nbr in neighbors4(sq):\n", + " if Edge(sq, nbr) not in edges:\n", + " plot_wall(sq, nbr)\n", + " plt.show()\n", + "\n", + "def plot_wall(s1, s2):\n", + " \"Plot a thick black line between squares s1 and s2.\"\n", + " (x1, y1), (x2, y2) = s1, s2\n", + " if x1 == x2: # horizontal wall\n", + " y = max(y1, y2)\n", + " X, Y = [x1, x1+1], [y, y]\n", + " else: # vertical wall\n", + " x = max(x1, x2)\n", + " X, Y = [x, x], [y1, y1+1]\n", + " plt.plot(X, Y, 'k-', linewidth=4.0)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Let's compare the two visualization functions:" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAd0AAAD8CAYAAAAyun5JAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nASAiugAQEV0AiIguAEREFwAiPwEaFX4D8XiUAwAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "o o--o--o--o--o--o--o--o--o--o\n", + "| | | | |\n", + "o o--o o o o o o--o--o o\n", + "| | | | | |\n", + "o--o o--o--o o--o--o o--o o\n", + "| | | | | | | |\n", + "o o o o o o o o--o o o\n", + "| | | | | | | | |\n", + "o o--o o--o--o o o o o--o\n", + "| | | |\n", + "o--o--o--o--o--o--o--o--o--o o\n" + ] + } + ], + "source": [ + "M = random_maze(10, 5)\n", + "plot_maze(M) \n", + "print_maze(M)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# `pop` strategies\n", + "\n", + "Now I want to compare how the maze varies based on theree different choices for the `pop` parameter. \n", + "\n", + "(1) The default is `deque.pop`\n", + "which means that the tree is created **depth-first**; we always select the `node` at the end of the `frontier`, so the tree follows a single branch along a randomly-twisted path until the path doubles back on itself and there are no more neighbors; at that point we select the most recent square for which there are neighbors:" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAe0AAAD8CAYAAABaSfxxAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nEOI/KTjgmW23yvYAAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_maze(random_maze(40, 20, deque.pop))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The maze with `deque.pop` looks pretty good. Reminds me of those [cyber brain](https://www.vectorstock.com/royalty-free-vector/cyber-brain-vector-3071965) images.\n", + "\n", + "(2) An alternative is `queue.popleft`, which creates the maze roughly **breadth-first**—we start at some root square , add an edge to it, and from then on we always select first a parent edge before we select a child edge. The net result is a design that appears to radiate out in concentric layers from the root (which is chosen by `random_tree` and is not necessarily the top-left square; below it looks like the root is in the upper-left quadrant). " + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_maze(random_maze(40, 20, deque.popleft))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The `deque.popleft` maze is interesting as a design, but to me it doesn't work well as a maze.\n", + "\n", + "(3) We can select a cell at random by shuffling the frontier before popping an element off of it:" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def poprandom(seq):\n", + " \"Shuffle a mutable sequence (deque or list) and then pop an element.\"\n", + " random.shuffle(seq)\n", + " return seq.pop()\n", + "\n", + "plot_maze(random_maze(40, 20, poprandom))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This is an interesting compromise: it has some structure, but still works nicely as a maze, in my opinion.\n", + "\n", + "What other variations can you come up with to generate interesting mazes?" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.0" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} From 7dac4648784b89c2453ea2f2a5a7ccb310eb43d3 Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Thu, 15 Mar 2018 00:58:33 -0700 Subject: [PATCH 29/90] Update requirements.txt --- requirements.txt | 1 + 1 file changed, 1 insertion(+) diff --git a/requirements.txt b/requirements.txt index 24ce15a..aa094d9 100644 --- a/requirements.txt +++ b/requirements.txt @@ -1 +1,2 @@ numpy +matplotlib From 29869eb511a8ca1a25e8485403aeaf33e2035835 Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Thu, 15 Mar 2018 13:04:15 -0700 Subject: [PATCH 30/90] Remove warnings on mybinder from Maze.ipynb --- ipynb/Maze.ipynb | 55 ++++++++++++++++++++++++------------------------ 1 file changed, 27 insertions(+), 28 deletions(-) diff --git a/ipynb/Maze.ipynb b/ipynb/Maze.ipynb index fb19902..5f832ce 100644 --- a/ipynb/Maze.ipynb +++ b/ipynb/Maze.ipynb @@ -161,7 +161,7 @@ { "data": { "text/plain": [ - "Maze(width=10, height=5, edges=[((6, 3), (7, 3)), ((6, 2), (6, 3)), ((5, 2), (6, 2)), ((5, 1), (5, 2)), ((5, 1), (6, 1)), ((6, 0), (6, 1)), ((6, 0), (7, 0)), ((7, 0), (8, 0)), ((8, 0), (8, 1)), ((8, 1), (9, 1)), ((9, 0), (9, 1)), ((9, 1), (9, 2)), ((9, 2), (9, 3)), ((9, 3), (9, 4)), ((8, 4), (9, 4)), ((7, 4), (8, 4)), ((6, 4), (7, 4)), ((5, 4), (6, 4)), ((5, 3), (5, 4)), ((4, 3), (5, 3)), ((4, 2), (4, 3)), ((3, 2), (4, 2)), ((3, 2), (3, 3)), ((3, 3), (3, 4)), ((3, 4), (4, 4)), ((2, 4), (3, 4)), ((2, 3), (2, 4)), ((1, 3), (2, 3)), ((1, 2), (1, 3)), ((1, 2), (2, 2)), ((2, 1), (2, 2)), ((2, 1), (3, 1)), ((3, 1), (4, 1)), ((4, 0), (4, 1)), ((3, 0), (4, 0)), ((2, 0), (3, 0)), ((1, 0), (2, 0)), ((1, 0), (1, 1)), ((0, 1), (1, 1)), ((0, 1), (0, 2)), ((0, 2), (0, 3)), ((0, 3), (0, 4)), ((0, 4), (1, 4)), ((0, 0), (0, 1)), ((4, 0), (5, 0)), ((8, 3), (8, 4)), ((8, 2), (8, 3)), ((7, 2), (8, 2)), ((7, 1), (7, 2))])" + "Maze(width=10, height=5, edges=[((6, 3), (7, 3)), ((6, 3), (6, 4)), ((6, 4), (7, 4)), ((7, 4), (8, 4)), ((8, 3), (8, 4)), ((8, 2), (8, 3)), ((7, 2), (8, 2)), ((7, 1), (7, 2)), ((7, 0), (7, 1)), ((7, 0), (8, 0)), ((8, 0), (8, 1)), ((8, 1), (9, 1)), ((9, 0), (9, 1)), ((9, 1), (9, 2)), ((9, 2), (9, 3)), ((9, 3), (9, 4)), ((6, 0), (7, 0)), ((5, 0), (6, 0)), ((5, 0), (5, 1)), ((5, 1), (6, 1)), ((6, 1), (6, 2)), ((5, 2), (6, 2)), ((4, 2), (5, 2)), ((3, 2), (4, 2)), ((3, 2), (3, 3)), ((2, 3), (3, 3)), ((2, 2), (2, 3)), ((2, 1), (2, 2)), ((2, 0), (2, 1)), ((1, 0), (2, 0)), ((0, 0), (1, 0)), ((0, 0), (0, 1)), ((0, 1), (1, 1)), ((1, 1), (1, 2)), ((0, 2), (1, 2)), ((0, 2), (0, 3)), ((0, 3), (1, 3)), ((1, 3), (1, 4)), ((0, 4), (1, 4)), ((1, 4), (2, 4)), ((2, 4), (3, 4)), ((3, 4), (4, 4)), ((4, 3), (4, 4)), ((4, 3), (5, 3)), ((5, 3), (5, 4)), ((2, 0), (3, 0)), ((3, 0), (4, 0)), ((4, 0), (4, 1)), ((3, 1), (4, 1))])" ] }, "execution_count": 3, @@ -194,15 +194,15 @@ "output_type": "stream", "text": [ "o o--o--o--o--o--o--o--o--o--o\n", - "| | | |\n", - "o o o--o o--o--o o o--o o\n", - "| | | | | | |\n", - "o o--o o--o o o--o--o o o\n", - "| | | | | |\n", - "o o--o o--o o o--o--o--o o\n", - "| | | | | | |\n", - "o o o--o o--o o o--o o--o\n", - "| | | | |\n", + "| | | |\n", + "o--o--o--o o--o o o o--o o\n", + "| | | | |\n", + "o o o--o--o o--o--o--o--o o\n", + "| | | | | | |\n", + "o o--o o o--o o o--o o--o\n", + "| | | | | | |\n", + "o o o--o--o--o--o o o--o o\n", + "| | |\n", "o--o--o--o--o--o--o--o--o--o o\n" ] } @@ -250,7 +250,6 @@ " \"Plot a maze by drawing lines between adjacent squares, except for pairs in maze.edges\"\n", " plt.figure(figsize=(8, 4))\n", " plt.axis('off')\n", - " plt.axes().set_aspect('equal', 'datalim')\n", " plt.gca().invert_yaxis()\n", " w, h = maze.width, maze.height\n", " exits = {Edge((0, 0), (0, -1)), Edge((w-1, h-1), (w-1, h))}\n", @@ -289,9 +288,9 @@ "outputs": [ { "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAd0AAAD8CAYAAAAyun5JAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nASAiugAQEV0AiIguAEREFwAiPwEaFX4D8XiUAwAAAABJRU5ErkJggg==\n", + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAd0AAAD8CAYAAAAyun5JAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQER0ASDyFyUScgM3r2rXAAAAAElFTkSuQmCC\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -302,15 +301,15 @@ "output_type": "stream", "text": [ "o o--o--o--o--o--o--o--o--o--o\n", - "| | | | |\n", - "o o--o o o o o o--o--o o\n", - "| | | | | |\n", - "o--o o--o--o o--o--o o--o o\n", - "| | | | | | | |\n", - "o o o o o o o o--o o o\n", - "| | | | | | | | |\n", - "o o--o o--o--o o o o o--o\n", - "| | | |\n", + "| | |\n", + "o o--o o--o o o--o--o--o o\n", + "| | | | | | | |\n", + "o o o--o o o o--o o--o o\n", + "| | | | | | | |\n", + "o o o o--o--o o o--o o--o\n", + "| | | | | | |\n", + "o--o o--o--o o o o--o--o o\n", + "| | |\n", "o--o--o--o--o--o--o--o--o--o o\n" ] } @@ -342,9 +341,9 @@ "outputs": [ { "data": { - "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, From 6379b5fd1f64a3ce1de340a06efacf17212db6b4 Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Thu, 15 Mar 2018 22:37:37 -0700 Subject: [PATCH 31/90] Add files via upload --- ipynb/Probability.ipynb | 3777 +++++++++++++++++++-------------------- 1 file changed, 1816 insertions(+), 1961 deletions(-) diff --git a/ipynb/Probability.ipynb b/ipynb/Probability.ipynb index ee8c703..6f1f140 100644 --- a/ipynb/Probability.ipynb +++ b/ipynb/Probability.ipynb @@ -11,44 +11,38 @@ } }, "source": [ - "
Peter Norvig, 12 Feb 2016
\n", + "
Peter Norvig, 12 Feb 2016
Revised 17 Feb 2018
\n", "\n", "# A Concrete Introduction to Probability (using Python)\n", "\n", - "\n", - "\n", - "\n", - "This notebook covers the basics of probability theory, with Python 3 implementations. (You should have some background in [probability](http://www.dartmouth.edu/~chance/teaching_aids/books_articles/probability_book/pdf.html) and [Python](https://www.python.org/about/gettingstarted/).) \n", - "\n", - "\n", "In 1814, Pierre-Simon Laplace [wrote](https://en.wikipedia.org/wiki/Classical_definition_of_probability):\n", "\n", - ">*Probability ... is thus simply a fraction whose numerator is the number of favorable cases and whose denominator is the number of all the cases possible ... when nothing leads us to expect that any one of these cases should occur more than any other.*\n", + ">*Probability theory is nothing but common sense reduced to calculation. ... [Probability] is thus simply a fraction whose numerator is the number of favorable cases and whose denominator is the number of all the cases possible ... when nothing leads us to expect that any one of these cases should occur more than any other.*\n", "\n", "![Laplace](https://upload.wikimedia.org/wikipedia/commons/thumb/3/30/AduC_197_Laplace_%28P.S.%2C_marquis_de%2C_1749-1827%29.JPG/180px-AduC_197_Laplace_%28P.S.%2C_marquis_de%2C_1749-1827%29.JPG)\n", "
Pierre-Simon Laplace
1814
\n", "\n", "\n", - "Laplace really nailed it, way back then! If you want to untangle a probability problem, all you have to do is be methodical about defining exactly what the cases are, and then careful in counting the number of favorable and total cases. We'll start being methodical by defining some vocabulary:\n", + "Laplace nailed it. To untangle a probability problem, all you have to do is define exactly what the cases are, and careful count the favorable and total cases. Let's be clear on our vocabulary words:\n", "\n", "\n", - "- **[Experiment](https://en.wikipedia.org/wiki/Experiment_(probability_theory%29):**\n", - " An occurrence with an uncertain outcome that we can observe.\n", - "
*For example, rolling a die.*\n", + "- **[Trial](https://en.wikipedia.org/wiki/Experiment_(probability_theory%29):**\n", + " A single occurrence with an outcome that is uncertain until we observe it. \n", + "
*For example, rolling a single die.*\n", "- **[Outcome](https://en.wikipedia.org/wiki/Outcome_(probability%29):**\n", - " The result of an experiment; one particular state of the world. What Laplace calls a \"case.\"\n", + " A possible result of a trial; one particular state of the world. What Laplace calls a **case.**\n", "
*For example:* `4`.\n", "- **[Sample Space](https://en.wikipedia.org/wiki/Sample_space):**\n", - " The set of all possible outcomes for the experiment. \n", + " The set of all possible outcomes for the trial. \n", "
*For example,* `{1, 2, 3, 4, 5, 6}`.\n", "- **[Event](https://en.wikipedia.org/wiki/Event_(probability_theory%29):**\n", - " A subset of possible outcomes that together have some property we are interested in.\n", + " A subset of outcomes that together have some property we are interested in.\n", "
*For example, the event \"even die roll\" is the set of outcomes* `{2, 4, 6}`. \n", "- **[Probability](https://en.wikipedia.org/wiki/Probability_theory):**\n", - " As Laplace said, the probability of an event with respect to a sample space is the number of favorable cases (outcomes from the sample space that are in the event) divided by the total number of cases in the sample space. (This assumes that all outcomes in the sample space are equally likely.) Since it is a ratio, probability will always be a number between 0 (representing an impossible event) and 1 (representing a certain event).\n", + " As Laplace said, the probability of an event with respect to a sample space is the \"number of favorable cases\" (outcomes from the sample space that are in the event) divided by the \"number of all the cases\" in the sample space (assuming \"nothing leads us to expect that any one of these cases should occur more than any other\"). Since this is a proper fraction, probability will always be a number between 0 (representing an impossible event) and 1 (representing a certain event).\n", "
*For example, the probability of an even die roll is 3/6 = 1/2.*\n", "\n", - "This notebook will develop all these concepts; I also have a [second part](http://nbviewer.jupyter.org/url/norvig.com/ipython/ProbabilityParadox.ipynb) that covers paradoxes in Probability Theory." + "This notebook will explore these concepts in a concrete way using Python code. The code is meant to be succint and explicit, and fast enough to handle sample spaces with millions of outcomes. If you need to handle trillions, you'll want a more efficient implementation. I also have [another notebook](http://nbviewer.jupyter.org/url/norvig.com/ipython/ProbabilityParadox.ipynb) that covers paradoxes in Probability Theory. " ] }, { @@ -62,14 +56,14 @@ } }, "source": [ - "# Code for `P` \n", + "# `P` is for Probability\n", "\n", - "`P` is the traditional name for the Probability function:" + "The code below implements Laplace's quote directly: *Probability is thus simply a fraction whose numerator is the number of favorable cases and whose denominator is the number of all the cases possible.*" ] }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 1, "metadata": { "button": false, "collapsed": false, @@ -84,9 +78,12 @@ "from fractions import Fraction\n", "\n", "def P(event, space): \n", - " \"The probability of an event, given a sample space of equiprobable outcomes.\"\n", - " return Fraction(len(event & space), \n", - " len(space))" + " \"The probability of an event, given a sample space.\"\n", + " return Fraction(cases(favorable(event, space)), \n", + " cases(space))\n", + "\n", + "favorable = set.intersection # Outcomes that are in the event and in the sample space\n", + "cases = len # The number of cases is the length, or size, of a set" ] }, { @@ -100,9 +97,7 @@ } }, "source": [ - "Read this as implementing Laplace's quote directly: *\"Probability is thus simply a fraction whose numerator is the number of favorable cases and whose denominator is the number of all the cases possible.\"* \n", " \n", - "\n", "# Warm-up Problem: Die Roll" ] }, @@ -117,9 +112,175 @@ } }, "source": [ - "What's the probability of rolling an even number with a single six-sided fair die? \n", + "What's the probability of rolling an even number with a single six-sided fair die? Mathematicians traditionally use a single capital letter to denote a sample space; I'll use `D` for the die:" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "button": false, + "collapsed": false, + "deletable": true, + "new_sheet": false, + "run_control": { + "read_only": false + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "Fraction(1, 2)" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "D = {1, 2, 3, 4, 5, 6} # a sample space\n", + "even = { 2, 4, 6} # an event\n", "\n", - "We can define the sample space `D` and the event `even`, and compute the probability:" + "P(even, D)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Good to confirm what we already knew. We can explore some other events:" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "prime = {2, 3, 5, 7, 11, 13}\n", + "odd = {1, 3, 5, 7, 9, 11, 13}" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "Fraction(1, 2)" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "P(odd, D)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "Fraction(5, 6)" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "P((even | prime), D) # The probability of an even or prime die roll" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "Fraction(1, 3)" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "P((odd & prime), D) # The probability of an odd prime die roll" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "button": false, + "new_sheet": false, + "run_control": { + "read_only": false + } + }, + "source": [ + "# Card Problems\n", + "\n", + "Consider dealing a hand of five playing cards. An individual card has a rank and suit, like `'J♥'` for the Jack of Hearts, and a `deck` has 52 cards:" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "button": false, + "collapsed": false, + "new_sheet": false, + "run_control": { + "read_only": false + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "52" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "suits = u'♥♠♦♣'\n", + "ranks = u'AKQJT98765432'\n", + "deck = [r + s for r in ranks for s in suits]\n", + "len(deck)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now I want to define `Hands` as the sample space of all 5-card combinations from `deck`. The function `itertools.combinations` does most of the work; we than concatenate each combination into a space-separated string:\n" ] }, { @@ -128,7 +289,6 @@ "metadata": { "button": false, "collapsed": false, - "deletable": true, "new_sheet": false, "run_control": { "read_only": false @@ -138,7 +298,7 @@ { "data": { "text/plain": [ - "Fraction(1, 2)" + "2598960" ] }, "execution_count": 8, @@ -147,35 +307,93 @@ } ], "source": [ - "D = {1, 2, 3, 4, 5, 6}\n", - "even = { 2, 4, 6}\n", + "import itertools\n", "\n", - "P(even, D)" + "def combos(items, n):\n", + " \"All combinations of n items; each combo as a space-separated str.\"\n", + " return set(map(' '.join, itertools.combinations(items, n)))\n", + "\n", + "Hands = combos(deck, 5)\n", + "len(Hands)" ] }, { "cell_type": "markdown", - "metadata": { - "button": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, + "metadata": {}, "source": [ - "It is good to confirm what we already knew.\n", - "\n", - "You may ask: Why does the definition of `P` use `len(event & space)` rather than `len(event)`? Because I don't want to count outcomes that were specified in `event` but aren't actually in the sample space. Consider:" + "There are too many hands to look at them all, but we can sample:" ] }, { "cell_type": "code", "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "['Q♥ J♥ J♠ J♦ 6♠',\n", + " 'J♥ T♠ 9♥ 8♦ 3♣',\n", + " 'T♣ 8♣ 6♥ 5♠ 4♠',\n", + " 'A♦ 8♠ 7♥ 7♠ 2♣',\n", + " 'A♥ J♠ J♦ 9♠ 9♦',\n", + " 'K♠ 8♠ 8♦ 7♦ 5♦',\n", + " 'J♥ J♣ T♥ 5♠ 4♥']" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import random\n", + "random.sample(Hands, 7)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "['6♥', '5♦', 'Q♠', 'A♥', '9♣', '3♠', '8♥']" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "random.sample(deck, 7)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "button": false, + "new_sheet": false, + "run_control": { + "read_only": false + } + }, + "source": [ + "Now we can answer questions like the probability of being dealt a flush (5 cards of the same suit):" + ] + }, + { + "cell_type": "code", + "execution_count": 11, "metadata": { "button": false, "collapsed": false, - "deletable": true, "new_sheet": false, "run_control": { "read_only": false @@ -185,34 +403,60 @@ { "data": { "text/plain": [ - "Fraction(1, 2)" + "Fraction(33, 16660)" ] }, - "execution_count": 9, + "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "even = {2, 4, 6, 8, 10, 12}\n", + "flush = {hand for hand in Hands if any(hand.count(suit) == 5 for suit in suits)}\n", "\n", - "P(even, D)" + "P(flush, Hands)" ] }, { "cell_type": "markdown", "metadata": { "button": false, - "deletable": true, "new_sheet": false, "run_control": { "read_only": false } }, "source": [ - "Here, `len(event)` and `len(space)` are both 6, so if just divided, then `P` would be 1, which is not right.\n", - "The favorable cases are the *intersection* of the event and the space, which in Python is `(event & space)`.\n", - "Also note that I use `Fraction` rather than regular division because I want exact answers like 1/3, not 0.3333333333333333." + "Or the probability of four of a kind:" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "button": false, + "collapsed": false, + "new_sheet": false, + "run_control": { + "read_only": false + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "Fraction(1, 4165)" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "four_kind = {hand for hand in Hands if any(hand.count(rank) == 4 for rank in ranks)}\n", + "\n", + "P(four_kind, Hands)" ] }, { @@ -230,33 +474,25 @@ "\n", "# Urn Problems\n", "\n", - "Around 1700, Jacob Bernoulli wrote about removing colored balls from an urn in his landmark treatise *[Ars Conjectandi](https://en.wikipedia.org/wiki/Ars_Conjectandi)*, and ever since then, explanations of probability have relied on [urn problems](https://www.google.com/webhp?sourceid=chrome-instant&ion=1&espv=2&ie=UTF-8#q=probability%20ball%20urn). (You'd think the urns would be empty by now.) \n", + "Around 1700, Jacob Bernoulli wrote about removing colored balls from an urn in his landmark treatise *[Ars Conjectandi](https://en.wikipedia.org/wiki/Ars_Conjectandi)*, and ever since then, explanations of probability have relied on [urn problems](https://www.google.com/search?q=probability+ball+urn). (You'd think the urns would be empty by now.) \n", "\n", "![Jacob Bernoulli](http://www2.stetson.edu/~efriedma/periodictable/jpg/Bernoulli-Jacob.jpg)\n", "
Jacob Bernoulli
1700
\n", "\n", "For example, here is a three-part problem [adapted](http://mathforum.org/library/drmath/view/69151.html) from mathforum.org:\n", "\n", - "> An urn contains 23 balls: 8 white, 6 blue, and 9 red. We select six balls at random (each possible selection is equally likely). What is the probability of each of these possible outcomes:\n", + "> *An urn contains 6 blue, 9 red, and 8 white balls. We select six balls at random. What is the probability of each of these outcomes:*\n", "\n", - "> 1. all balls are red\n", - "2. 3 are blue, 2 are white, and 1 is red\n", - "3. exactly 4 balls are white\n", + "> - *All balls are red*.\n", + "- *3 are blue, and 1 is red, and 2 are white, *.\n", + "- *Exactly 4 balls are white*.\n", "\n", - "So, an outcome is a set of 6 balls, and the sample space is the set of all possible 6 ball combinations. We'll solve each of the 3 parts using our `P` function, and also using basic arithmetic; that is, *counting*. Counting is a bit tricky because:\n", - "- We have multiple balls of the same color. \n", - "- An outcome is a *set* of balls, where order doesn't matter, not a *sequence*, where order matters.\n", - "\n", - "To account for the first issue, I'll have 8 different white balls labeled `'W1'` through `'W8'`, rather than having eight balls all labeled `'W'`. That makes it clear that selecting `'W1'` is different from selecting `'W2'`.\n", - "\n", - "The second issue is handled automatically by the `P` function, but if I want to do calculations by hand, I will sometimes first count the number of *permutations* of balls, then get the number of *combinations* by dividing the number of permutations by *c*!, where *c* is the number of balls in a combination. For example, if I want to choose 2 white balls from the 8 available, there are 8 ways to choose a first white ball and 7 ways to choose a second, and therefore 8 × 7 = 56 permutations of two white balls. But there are only 56 / 2 = 28 combinations, because `(W1, W2)` is the same combination as `(W2, W1)`.\n", - "\n", - "We'll start by defining the contents of the urn:" + "We'll start by defining the contents of the urn. A `set` can't contain multiple objects that are equal to each other, so I'll call the blue balls `'B1'` through `'B6'`, rather than trying to have 6 balls all called `'B'`:" ] }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 13, "metadata": { "button": false, "collapsed": false, @@ -295,152 +531,19 @@ " 'W8'}" ] }, - "execution_count": 10, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "def cross(A, B):\n", - " \"The set of ways of concatenating one item from collection A with one from B.\"\n", - " return {a + b \n", - " for a in A for b in B}\n", - "\n", - "urn = cross('W', '12345678') | cross('B', '123456') | cross('R', '123456789') \n", - "\n", - "urn" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": { - "button": false, - "collapsed": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "outputs": [ - { - "data": { - "text/plain": [ - "23" - ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "len(urn)" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "button": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "source": [ - "Now we can define the sample space, `U6`, as the set of all 6-ball combinations. We use `itertools.combinations` to generate the combinations, and then join each combination into a string:" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": { - "button": false, - "collapsed": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "outputs": [ - { - "data": { - "text/plain": [ - "100947" - ] - }, - "execution_count": 12, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "import itertools\n", - "\n", - "def combos(items, n):\n", - " \"All combinations of n items; each combo as a concatenated str.\"\n", - " return {' '.join(combo) \n", - " for combo in itertools.combinations(items, n)}\n", - "\n", - "U6 = combos(urn, 6)\n", - "\n", - "len(U6)" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "button": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "source": [ - "I don't want to print all 100,947 members of the sample space; let's just peek at a random sample of them:" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": { - "button": false, - "collapsed": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "outputs": [ - { - "data": { - "text/plain": [ - "['B5 R2 W8 B1 R9 W5',\n", - " 'B5 W2 B6 W8 R5 B3',\n", - " 'B4 R8 B6 B1 R7 W5',\n", - " 'B5 B2 W7 R2 R4 W6',\n", - " 'B2 B4 B6 W8 R6 R5',\n", - " 'R2 R4 R9 W4 B3 W5',\n", - " 'R1 R6 R5 R9 R7 W5',\n", - " 'B5 R8 W7 B6 B3 W5',\n", - " 'B2 R8 W7 R5 W4 B3',\n", - " 'R1 W2 R3 W1 R7 W5']" - ] - }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "import random\n", + "def balls(color, n):\n", + " \"A set of n numbered balls of the given color.\"\n", + " return {color + str(i)\n", + " for i in range(1, n + 1)}\n", "\n", - "random.sample(U6, 10)" + "urn = balls('B', 6) | balls('R', 9) | balls('W', 8)\n", + "urn" ] }, { @@ -454,20 +557,157 @@ } }, "source": [ - "Is 100,947 really the right number of ways of choosing 6 out of 23 items, or \"23 choose 6\", as mathematicians [call it](https://en.wikipedia.org/wiki/Combination)? Well, we can choose any of 23 for the first item, any of 22 for the second, and so on down to 18 for the sixth. But we don't care about the ordering of the six items, so we divide the product by 6! (the number of permutations of 6 things) giving us:\n", - "\n", - "$$23 ~\\mbox{choose}~ 6 = \\frac{23 \\cdot 22 \\cdot 21 \\cdot 20 \\cdot 19 \\cdot 18}{6!} = 100947$$\n", - "\n", - "Note that $23 \\cdot 22 \\cdot 21 \\cdot 20 \\cdot 19 \\cdot 18 = 23! \\;/\\; 17!$, so, generalizing, we can write:\n", - "\n", - "$$n ~\\mbox{choose}~ c = \\frac{n!}{(n - c)! \\cdot c!}$$\n", - "\n", - "And we can translate that to code and verify that 23 choose 6 is 100,947:" + "Now we can define the sample space, `U6`, as the set of all 6-ball combinations: " ] }, { "cell_type": "code", "execution_count": 14, + "metadata": { + "button": false, + "collapsed": false, + "deletable": true, + "new_sheet": false, + "run_control": { + "read_only": false + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "['W1 R4 W3 R7 R2 W7',\n", + " 'R3 W1 B6 W3 R2 W7',\n", + " 'R3 W5 B4 B2 W8 W7',\n", + " 'W2 B1 R3 B2 R8 B5',\n", + " 'B1 R5 W6 R9 R7 B5']" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "U6 = combos(urn, 6)\n", + "\n", + "random.sample(U6, 5)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Define `select` such that `select('R', 6)` is the event of picking 6 red balls from the urn:" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def select(color, n, space=U6):\n", + " \"The subset of the sample space with exactly `n` balls of given `color`.\"\n", + " return {s for s in space if s.count(color) == n}" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now I can answer the three questions:" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "Fraction(4, 4807)" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "P(select('R', 6), U6) " + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "Fraction(240, 4807)" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "P(select('B', 3) & select('R', 1) & select('W', 2), U6)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "Fraction(350, 4807)" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "P(select('W', 4), U6)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "button": false, + "deletable": true, + "new_sheet": false, + "run_control": { + "read_only": false + } + }, + "source": [ + "## Urn problems via arithmetic\n", + "\n", + "Let's verify these calculations using basic arithmetic, rather than exhaustive counting. First, how many ways can I choose 6 out of 9 red balls? It could be any of the 9 for the first ball, any of 8 remaining for the second, and so on down to any of the remaining 4 for the sixth and final ball. But we don't care about the *order* of the six balls, so divide that product by the number of permutations of 6 things, which is 6!, giving us \n", + "9 × 8 × 7 × 6 × 5 × 4 / 6! = 84. In general, the number of ways of choosing *c* out of *n* items is (*n* choose *c*) = *n*! / ((*n* - *c*)! × c!).\n", + "We can translate that to code:" + ] + }, + { + "cell_type": "code", + "execution_count": 19, "metadata": { "button": false, "collapsed": true, @@ -488,103 +728,9 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 20, "metadata": { - "button": false, - "collapsed": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "outputs": [ - { - "data": { - "text/plain": [ - "100947" - ] - }, - "execution_count": 15, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "choose(23, 6)" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "button": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "source": [ - "Now we're ready to answer the 4 problems: \n", - "\n", - "### Urn Problem 1: what's the probability of selecting 6 red balls? " - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": { - "button": false, - "collapsed": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "outputs": [ - { - "data": { - "text/plain": [ - "Fraction(4, 4807)" - ] - }, - "execution_count": 16, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "red6 = {s for s in U6 if s.count('R') == 6}\n", - "\n", - "P(red6, U6)" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "button": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "source": [ - "Let's investigate a bit more. How many ways of getting 6 red balls are there?" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": { - "button": false, - "collapsed": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } + "collapsed": false }, "outputs": [ { @@ -593,49 +739,7 @@ "84" ] }, - "execution_count": 17, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "len(red6)" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "button": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "source": [ - "Why are there 84 ways? Because there are 9 red balls in the urn, and we are asking how many ways we can choose 6 of them:" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "metadata": { - "button": false, - "collapsed": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "outputs": [ - { - "data": { - "text/plain": [ - "84" - ] - }, - "execution_count": 18, + "execution_count": 20, "metadata": {}, "output_type": "execute_result" } @@ -646,117 +750,17 @@ }, { "cell_type": "markdown", - "metadata": { - "button": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, + "metadata": {}, "source": [ - "So the probability of 6 red balls is then just 9 choose 6 divided by the size of the sample space:" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "metadata": { - "button": false, - "collapsed": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "outputs": [ - { - "data": { - "text/plain": [ - "True" - ] - }, - "execution_count": 19, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "P(red6, U6) == Fraction(choose(9, 6), \n", - " len(U6))" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "button": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "source": [ - "### Urn Problem 2: what is the probability of 3 blue, 2 white, and 1 red?" - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "metadata": { - "button": false, - "collapsed": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "outputs": [ - { - "data": { - "text/plain": [ - "Fraction(240, 4807)" - ] - }, - "execution_count": 20, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "b3w2r1 = {s for s in U6 if\n", - " s.count('B') == 3 and s.count('W') == 2 and s.count('R') == 1}\n", - "\n", - "P(b3w2r1, U6)" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "button": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "source": [ - "We can get the same answer by counting how many ways we can choose 3 out of 6 blues, 2 out of 8 whites, and 1 out of 9 reds, and dividing by the number of possible selections:" + "Now we can verify the answers to the three problems. (Since `P` computes a ratio and `choose` computes a count,\n", + "I multiply the left-hand-side by `N`, the length of the sample space, to make both sides be counts.)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { - "button": false, - "collapsed": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } + "collapsed": false }, "outputs": [ { @@ -771,37 +775,16 @@ } ], "source": [ - "P(b3w2r1, U6) == Fraction(choose(6, 3) * choose(8, 2) * choose(9, 1), \n", - " len(U6))" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "button": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "source": [ - "Here we don't need to divide by any factorials, because `choose` has already accounted for that. \n", + "N = len(U6)\n", "\n", - "We can get the same answer by figuring: \"there are 6 ways to pick the first blue, 5 ways to pick the second blue, and 4 ways to pick the third; then 8 ways to pick the first white and 7 to pick the second; then 9 ways to pick a red. But the order `'B1, B2, B3'` should count as the same as `'B2, B3, B1'` and all the other orderings; so divide by 3! to account for the permutations of blues, by 2! to account for the permutations of whites, and by 100947 to get a probability:" + "N * P(select('R', 6), U6) == choose(9, 6)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { - "button": false, - "collapsed": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } + "collapsed": false }, "outputs": [ { @@ -816,43 +799,20 @@ } ], "source": [ - " P(b3w2r1, U6) == Fraction((6 * 5 * 4) * (8 * 7) * 9, \n", - " factorial(3) * factorial(2) * len(U6))" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "button": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "source": [ - "### Urn Problem 3: What is the probability of exactly 4 white balls?\n", - "\n", - "We can interpret this as choosing 4 out of the 8 white balls, and 2 out of the 15 non-white balls. Then we can solve it the same three ways:" + "N * P(select('B', 3) & select('W', 2) & select('R', 1), U6) == choose(6, 3) * choose(8, 2) * choose(9, 1)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { - "button": false, - "collapsed": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } + "collapsed": false }, "outputs": [ { "data": { "text/plain": [ - "Fraction(350, 4807)" + "True" ] }, "execution_count": 23, @@ -861,58 +821,77 @@ } ], "source": [ - "w4 = {s for s in U6 if\n", - " s.count('W') == 4}\n", + "N * P(select('W', 4), U6) == choose(8, 4) * choose(6 + 9, 2) # (6 + 9 non-white balls)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can solve all these problems just by counting; all you ever needed to know about probability problems you learned from Sesame Street:\n", "\n", - "P(w4, U6)" + "![The Count](http://img2.oncoloring.com/count-dracula-number-thir_518b77b54ba6c-p.gif)\n", + "
The Count
1972—
" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "button": false, + "new_sheet": false, + "run_control": { + "read_only": false + } + }, + "source": [ + "# Non-Equiprobable Outcomes\n", + "\n", + "So far, we have accepted Laplace's assumption that *nothing leads us to expect that any one of these cases should occur more than any other*.\n", + "In real life, we often get outcomes that are not equiprobable--for example, a loaded die favors one side over the others. We will introduce three more vocabulary items:\n", + "\n", + "* [Frequency](https://en.wikipedia.org/wiki/Frequency_%28statistics%29): a non-negative number describing how often an outcome occurs. Can be a count like 5, or a ratio like 1/6.\n", + "\n", + "* [Distribution](http://mathworld.wolfram.com/StatisticalDistribution.html): A mapping from outcome to frequency of that outcome. We will allow sample spaces to be distributions. \n", + "\n", + "* [Probability Distribution](https://en.wikipedia.org/wiki/Probability_distribution): A probability distribution\n", + "is a distribution whose frequencies sum to 1. \n", + "\n", + "\n", + "I could implement distributions with `Dist = dict`, but instead I'll make `Dist` a subclass `collections.Counter`:" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { - "button": false, - "collapsed": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } + "collapsed": false }, - "outputs": [ - { - "data": { - "text/plain": [ - "True" - ] - }, - "execution_count": 24, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ - "P(w4, U6) == Fraction(choose(8, 4) * choose(15, 2),\n", - " len(U6))" + "from collections import Counter\n", + " \n", + "class Dist(Counter): \n", + " \"A Distribution of {outcome: frequency} pairs.\"" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Because a `Dist` is a `Counter`, we can initialize it in any of the following ways:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { - "button": false, - "collapsed": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } + "collapsed": false }, "outputs": [ { "data": { "text/plain": [ - "True" + "Dist({1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1})" ] }, "execution_count": 25, @@ -921,8 +900,269 @@ } ], "source": [ - "P(w4, U6) == Fraction((8 * 7 * 6 * 5) * (15 * 14),\n", - " factorial(4) * factorial(2) * len(U6))" + "# A set of equiprobable outcomes:\n", + "Dist({1, 2, 3, 4, 5, 6})" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "Dist({'H': 5, 'T': 4})" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# A collection of outcomes, with repetition indicating frequency:\n", + "Dist('THHHTTHHT')" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "Dist({'H': 5, 'T': 4})" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# A mapping of {outcome: frequency} pairs:\n", + "Dist({'H': 5, 'T': 4})" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Keyword arguments:\n", + "Dist(H=5, T=4) == Dist({'H': 5}, T=4) == Dist('TTTT', H=5)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now I will modify the code to handle distributions.\n", + "Here's my plan:\n", + "\n", + "- Sample spaces and events can both be specified as either a `set` or a `Dist`.\n", + "- The sample space can be a non-probability distribution like `Dist(H=50, T=50)`; the results\n", + "will be the same as if the sample space had been a true probability distribution like `Dist(H=1/2, T=1/2)`.\n", + "- The function `cases` now sums the frequencies in a distribution (it previously counted the length).\n", + "- The function `favorable` now returns a `Dist` of favorable outcomes and their frequencies (not a `set`).\n", + "- I will redefine `Fraction` to use `\"/\"`, not `fractions.Fraction`, because frequencies might be floats.\n", + "- `P` is unchanged.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "def cases(outcomes): \n", + " \"The total frequency of all the outcomes.\"\n", + " return sum(Dist(outcomes).values())\n", + "\n", + "def favorable(event, space):\n", + " \"A distribution of outcomes from the sample space that are in the event.\"\n", + " space = Dist(space)\n", + " return Dist({x: space[x] \n", + " for x in space if x in event})\n", + "\n", + "def Fraction(n, d): return n / d" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "For example, here's the probability of rolling an even number with a crooked die that is loaded to prefer 6:" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.7" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "Crooked = Dist({1: 0.1, 2: 0.1, 3: 0.1, 4: 0.1, 5: 0.1, 6: 0.5})\n", + "\n", + "P(even, Crooked)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "As another example, an [article](http://people.kzoo.edu/barth/math105/moreboys.pdf) gives the following counts for two-child families in Denmark, where `GB` means a family where the first child is a girl and the second a boy (I'm aware that not all births can be classified as the binary \"boy\" or \"girl,\" but the data was reported that way):\n", + "\n", + " GG: 121801 GB: 126840\n", + " BG: 127123 BB: 135138" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": { + "button": false, + "collapsed": false, + "new_sheet": false, + "run_control": { + "read_only": false + } + }, + "outputs": [], + "source": [ + "DK = Dist(GG=121801, GB=126840,\n", + " BG=127123, BB=135138)" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.48667063350701306" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "first_girl = {'GG', 'GB'}\n", + "P(first_girl, DK)" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.4872245557856497" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "second_girl = {'GG', 'BG'}\n", + "P(second_girl, DK)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "button": false, + "new_sheet": false, + "run_control": { + "read_only": false + } + }, + "source": [ + "This says that the probability of a girl is somewhere between 48% and 49%. The probability of a girl is very slightly higher for the second child. \n", + "\n", + "Given the first child, are you more likely to have a second child of the same sex?" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.5029124959385557" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "same = {'GG', 'BB'}\n", + "P(same, DK)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "button": false, + "new_sheet": false, + "run_control": { + "read_only": false + } + }, + "source": [ + "Yes, but only by about 0.3%." ] }, { @@ -936,18 +1176,18 @@ } }, "source": [ - "# Revised Version of `P`, with more general events\n", + "# Predicates as events\n", "\n", "To calculate the probability of an even die roll, I originally said\n", "\n", " even = {2, 4, 6}\n", " \n", - "But that's inelegant—I had to explicitly enumerate all the even numbers from one to six. If I ever wanted to deal with a twelve or twenty-sided die, I would have to go back and change `even`. I would prefer to define `even` once and for all like this:" + "But that's inelegant—I had to explicitly enumerate all the even numbers from one to six. If I ever wanted to deal with a twelve or twenty-sided die, I would have to go back and redefine `even`. I would prefer to define `even` once and for all like this:" ] }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 35, "metadata": { "button": false, "collapsed": true, @@ -973,13 +1213,12 @@ } }, "source": [ - "Now in order to make `P(even, D)` work, I'll have to modify `P` to accept an event as either\n", - "a *set* of outcomes (as before), or a *predicate* over outcomes—a function that returns true for an outcome that is in the event:" + "Now in order to make `P(even, D)` work, I'll allow an `Event` to be either a collection of outcomes or a `callable` predicate (that is, a function that returns true for outcomes that are part of the event). I don't need to modify `P`, but `favorable` will have to convert a callable `event` to a `set`:" ] }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 36, "metadata": { "button": false, "collapsed": true, @@ -991,82 +1230,51 @@ }, "outputs": [], "source": [ - "def P(event, space): \n", - " \"\"\"The probability of an event, given a sample space of equiprobable outcomes.\n", - " event can be either a set of outcomes, or a predicate (true for outcomes in the event).\"\"\"\n", - " if is_predicate(event):\n", - " event = such_that(event, space)\n", - " return Fraction(len(event & space), len(space))\n", - "\n", - "is_predicate = callable\n", - "\n", - "def such_that(predicate, collection): \n", - " \"The subset of elements in the collection for which the predicate is true.\"\n", - " return {e for e in collection if predicate(e)}" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "button": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "source": [ - "Here we see how `such_that`, the new `even` predicate, and the new `P` work:" + "def favorable(event, space):\n", + " \"A distribution of outcomes from the sample space that are in the event.\"\n", + " if callable(event):\n", + " event = {x for x in space if event(x)}\n", + " space = Dist(space)\n", + " return Dist({x: space[x] \n", + " for x in space if x in event})" ] }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 37, "metadata": { - "button": false, - "collapsed": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } + "collapsed": false }, "outputs": [ { "data": { "text/plain": [ - "{2, 4, 6}" + "Dist({2: 1, 4: 1, 6: 1})" ] }, - "execution_count": 28, + "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "such_that(even, D)" + "favorable(even, D)" ] }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 38, "metadata": { - "button": false, - "collapsed": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } + "collapsed": false }, "outputs": [ { "data": { "text/plain": [ - "Fraction(1, 2)" + "0.5" ] }, - "execution_count": 29, + "execution_count": 38, "metadata": {}, "output_type": "execute_result" } @@ -1076,38 +1284,26 @@ ] }, { - "cell_type": "code", - "execution_count": 30, - "metadata": { - "button": false, - "collapsed": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "outputs": [ - { - "data": { - "text/plain": [ - "{2, 4, 6, 8, 10, 12}" - ] - }, - "execution_count": 30, - "metadata": {}, - "output_type": "execute_result" - } - ], + "cell_type": "markdown", + "metadata": {}, "source": [ - "D12 = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}\n", - "\n", - "such_that(even, D12)" + "I'll define `die` to make a sample space for an *n*-sided die:" ] }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 39, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def die(n): return set(range(1, n + 1))" + ] + }, + { + "cell_type": "code", + "execution_count": 40, "metadata": { "button": false, "collapsed": false, @@ -1121,16 +1317,82 @@ { "data": { "text/plain": [ - "Fraction(1, 2)" + "Dist({2: 1, 4: 1, 6: 1, 8: 1, 10: 1, 12: 1})" ] }, - "execution_count": 31, + "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "P(even, D12)" + "favorable(even, die(12))" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.5" + ] + }, + "execution_count": 41, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "P(even, die(12))" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.5" + ] + }, + "execution_count": 42, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "P(even, die(2000))" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.49975012493753124" + ] + }, + "execution_count": 43, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "P(even, die(2001))" ] }, { @@ -1144,14 +1406,12 @@ } }, "source": [ - "Note: `such_that` is just like the built-in function `filter`, except `such_that` returns a set.\n", - "\n", - "We can now define more interesting events using predicates; for example we can determine the probability that the sum of a three-dice roll is prime (using a definition of `is_prime` that is efficient enough for small `n`):" + "We can define more interesting events using predicates; for example we can determine the probability that the sum of rolling *d* 6-sided dice is prime:" ] }, { "cell_type": "code", - "execution_count": 32, + "execution_count": 44, "metadata": { "button": false, "collapsed": false, @@ -1163,223 +1423,62 @@ }, "outputs": [ { - "data": { - "text/plain": [ - "Fraction(73, 216)" - ] - }, - "execution_count": 32, - "metadata": {}, - "output_type": "execute_result" + "name": "stdout", + "output_type": "stream", + "text": [ + "P(is_prime, sum_dice(1)) = 0.5\n", + "P(is_prime, sum_dice(2)) = 0.417\n", + "P(is_prime, sum_dice(3)) = 0.338\n", + "P(is_prime, sum_dice(4)) = 0.333\n", + "P(is_prime, sum_dice(5)) = 0.317\n", + "P(is_prime, sum_dice(6)) = 0.272\n", + "P(is_prime, sum_dice(7)) = 0.242\n", + "P(is_prime, sum_dice(8)) = 0.236\n" + ] } ], "source": [ - "D3 = {(d1, d2, d3) for d1 in D for d2 in D for d3 in D}\n", + "def sum_dice(d): return Dist(sum(dice) for dice in itertools.product(D, repeat=d))\n", "\n", - "def prime_sum(outcome): return is_prime(sum(outcome))\n", + "def is_prime(n): return (n > 1 and not any(n % i == 0 for i in range(2, n)))\n", "\n", - "def is_prime(n): return n > 1 and not any(n % i == 0 for i in range(2, n))\n", - "\n", - "P(prime_sum, D3)" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "button": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "source": [ - "# Card Problems\n", - "\n", - "Consider dealing a hand of five playing cards. We can define `deck` as a set of 52 cards, and `Hands` as the sample space of all combinations of 5 cards:" - ] - }, - { - "cell_type": "code", - "execution_count": 33, - "metadata": { - "button": false, - "collapsed": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "outputs": [ - { - "data": { - "text/plain": [ - "52" - ] - }, - "execution_count": 33, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "suits = 'SHDC'\n", - "ranks = 'A23456789TJQK'\n", - "deck = cross(ranks, suits)\n", - "len(deck)" - ] - }, - { - "cell_type": "code", - "execution_count": 34, - "metadata": { - "button": false, - "collapsed": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "outputs": [ - { - "data": { - "text/plain": [ - "['4H 7D QS 4D 9D',\n", - " 'QC 2D TS 9S 3D',\n", - " 'QC 3S KC 4C JC',\n", - " '9H 7C TS 7H JH',\n", - " 'QC JD AS JH 8H']" - ] - }, - "execution_count": 34, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "Hands = combos(deck, 5)\n", - "\n", - "assert len(Hands) == choose(52, 5)\n", - "\n", - "random.sample(Hands, 5)" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "button": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "source": [ - "Now we can answer questions like the probability of being dealt a flush (5 cards of the same suit):" - ] - }, - { - "cell_type": "code", - "execution_count": 35, - "metadata": { - "button": false, - "collapsed": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "outputs": [ - { - "data": { - "text/plain": [ - "Fraction(33, 16660)" - ] - }, - "execution_count": 35, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "def flush(hand):\n", - " return any(hand.count(suit) == 5 for suit in suits)\n", - "\n", - "P(flush, Hands)" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "button": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "source": [ - "Or the probability of four of a kind:" - ] - }, - { - "cell_type": "code", - "execution_count": 36, - "metadata": { - "button": false, - "collapsed": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "outputs": [ - { - "data": { - "text/plain": [ - "Fraction(1, 4165)" - ] - }, - "execution_count": 36, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "def four_kind(hand):\n", - " return any(hand.count(rank) == 4 for rank in ranks)\n", - "\n", - "P(four_kind, Hands)" + "for d in range(1, 9):\n", + " p = P(is_prime, sum_dice(d))\n", + " print(\"P(is_prime, sum_dice({})) = {}\".format(d, round(p, 3)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "# Fermat and Pascal: Gambling, Triangles, and the Birth of Probability\n", + "# Fermat and Pascal: The Unfinished Game\n", "\n", "\n", "
Pierre de Fermat
1654\n", "
Blaise Pascal]
1654\n", "
\n", "\n", - "Consider a gambling game consisting of tossing a coin. Player H wins the game if 10 heads come up, and T wins if 10 tails come up. If the game is interrupted when H has 8 heads and T has 7 tails, how should the pot of money (which happens to be 100 Francs) be split?\n", + "Consider a gambling game consisting of tossing a coin repeatedly. Player H wins the game as soon as a total of 10 heads come up, and T wins if a total of 10 tails come up before H wins. If the game is interrupted when H has 8 heads and T has 7 tails, how should the pot of money (which happens to be 100 Francs) be split? Here are some proposals, and arguments against them:\n", + "- It is uncertain, so just split the pot 50-50. \n", + "
*No, because surely H is more likely to win.*\n", + "- In proportion to each player's current score, so H gets a 8/(8+7) share. \n", + "
*No, because if the score was 0 heads to 1 tail, H should get more than 0/1.*\n", + "- In proportion to how many tosses the opponent needs to win, so H gets 3/(3+2). \n", + "
*This seems better, but no, if H is 9 away and T is only 1 away from winning, then it seems that giving H a 1/10 share is too much.*\n", + "\n", "In 1654, Blaise Pascal and Pierre de Fermat corresponded on this problem, with Fermat [writing](http://mathforum.org/isaac/problems/prob1.html):\n", "\n", ">Dearest Blaise,\n", "\n", ">As to the problem of how to divide the 100 Francs, I think I have found a solution that you will find to be fair. Seeing as I needed only two points to win the game, and you needed 3, I think we can establish that after four more tosses of the coin, the game would have been over. For, in those four tosses, if you did not get the necessary 3 points for your victory, this would imply that I had in fact gained the necessary 2 points for my victory. In a similar manner, if I had not achieved the necessary 2 points for my victory, this would imply that you had in fact achieved at least 3 points and had therefore won the game. Thus, I believe the following list of possible endings to the game is exhaustive. I have denoted 'heads' by an 'h', and tails by a 't.' I have starred the outcomes that indicate a win for myself.\n", "\n", - " h h h h * h h h t * h h t h * h h t t *\n", - " h t h h * h t h t * h t t h * h t t t\n", - " t h h h * t h h t * t h t h * t h t t\n", - " t t h h * t t h t t t t h t t t t\n", + "> h h h h * h h h t * h h t h * h h t t *\n", + "> h t h h * h t h t * h t t h * h t t t\n", + "> t h h h * t h h t * t h t h * t h t t\n", + "> t t h h * t t h t t t t h t t t t\n", + "\n", + ">I think you will agree that all of these outcomes are equally likely. Thus I believe that we should divide the stakes by the ration 11:5 in my favor, that is, I should receive (11/16)×100 = 68.75 Francs, while you should receive 31.25 Francs.\n", "\n", - ">I think you will agree that all of these outcomes are equally likely. Thus I believe that we should divide the stakes by the ration 11:5 in my favor, that is, I should receive (11/16)*100 = 68.75 Francs, while you should receive 31.25 Francs.\n", "\n", ">I hope all is well in Paris,\n", "\n", @@ -1394,26 +1493,36 @@ }, { "cell_type": "code", - "execution_count": 37, + "execution_count": 45, "metadata": { "collapsed": true }, "outputs": [], "source": [ - "def win_unfinished_game(Hneeds, Tneeds):\n", + "def win_unfinished_game(h, t):\n", " \"The probability that H will win the unfinished game, given the number of points needed by H and T to win.\"\n", - " def Hwins(outcome): return outcome.count('h') >= Hneeds\n", - " return P(Hwins, continuations(Hneeds, Tneeds))\n", + " return P(at_least(h, 'h'), finishes(h, t))\n", "\n", - "def continuations(Hneeds, Tneeds):\n", - " \"All continuations of a game where H needs `Hneeds` points to win and T needs `Tneeds`.\"\n", - " rounds = ['ht' for _ in range(Hneeds + Tneeds - 1)]\n", - " return set(itertools.product(*rounds))" + "def at_least(n, item):\n", + " \"The event of getting at least n instances of item in an outcome.\"\n", + " return lambda outcome: outcome.count(item) >= n\n", + " \n", + "def finishes(h, t):\n", + " \"All finishes of a game where player H needs h points to win and T needs t.\"\n", + " tosses = ['ht'] * (h + t - 1)\n", + " return set(itertools.product(*tosses))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can generate the 16 equiprobable finished that Pierre wrote about:" ] }, { "cell_type": "code", - "execution_count": 38, + "execution_count": 46, "metadata": { "collapsed": false }, @@ -1439,18 +1548,25 @@ " ('t', 't', 't', 't')}" ] }, - "execution_count": 38, + "execution_count": 46, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "continuations(2, 3)" + "finishes(2, 3)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "And we can find the 11 of them that are favorable to player `H`:" ] }, { "cell_type": "code", - "execution_count": 39, + "execution_count": 47, "metadata": { "collapsed": false }, @@ -1458,326 +1574,17 @@ { "data": { "text/plain": [ - "Fraction(11, 16)" - ] - }, - "execution_count": 39, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "win_unfinished_game(2, 3)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Our answer agrees with Pascal and Fermat; we're in good company!" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "button": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "source": [ - "# Non-Equiprobable Outcomes: Probability Distributions\n", - "\n", - "So far, we have made the assumption that every outcome in a sample space is equally likely. In real life, we often get outcomes that are not equiprobable. For example, the probability of a child being a girl is not exactly 1/2, and the probability is slightly different for a second child. An [article](http://people.kzoo.edu/barth/math105/moreboys.pdf) gives the following counts for two-child families in Denmark, where `GB` means a family where the first child is a girl and the second a boy:\n", - "\n", - " GG: 121801 GB: 126840\n", - " BG: 127123 BB: 135138\n", - " \n", - "We will introduce three more definitions:\n", - "\n", - "* [Frequency](https://en.wikipedia.org/wiki/Frequency_%28statistics%29): a number describing how often an outcome occurs. Can be a count like 121801, or a ratio like 0.515.\n", - "\n", - "* [Distribution](http://mathworld.wolfram.com/StatisticalDistribution.html): A mapping from outcome to frequency for each outcome in a sample space. \n", - "\n", - "* [Probability Distribution](https://en.wikipedia.org/wiki/Probability_distribution): A distribution that has been *normalized* so that the sum of the frequencies is 1.\n", - "\n", - "We define `ProbDist` to take the same kinds of arguments that `dict` does: either a mapping or an iterable of `(key, val)` pairs, and/or optional keyword arguments. " - ] - }, - { - "cell_type": "code", - "execution_count": 40, - "metadata": { - "button": false, - "collapsed": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "outputs": [], - "source": [ - "class ProbDist(dict):\n", - " \"A Probability Distribution; an {outcome: probability} mapping.\"\n", - " def __init__(self, mapping=(), **kwargs):\n", - " self.update(mapping, **kwargs)\n", - " # Make probabilities sum to 1.0; assert no negative probabilities\n", - " total = sum(self.values())\n", - " for outcome in self:\n", - " self[outcome] = self[outcome] / total\n", - " assert self[outcome] >= 0" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "button": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "source": [ - "We also need to modify the functions `P` and `such_that` to accept either a sample space or a probability distribution as the second argument." - ] - }, - { - "cell_type": "code", - "execution_count": 41, - "metadata": { - "button": false, - "collapsed": true, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "outputs": [], - "source": [ - "def P(event, space): \n", - " \"\"\"The probability of an event, given a sample space of equiprobable outcomes. \n", - " event: a collection of outcomes, or a predicate that is true of outcomes in the event. \n", - " space: a set of outcomes or a probability distribution of {outcome: frequency} pairs.\"\"\"\n", - " if is_predicate(event):\n", - " event = such_that(event, space)\n", - " if isinstance(space, ProbDist):\n", - " return sum(space[o] for o in space if o in event)\n", - " else:\n", - " return Fraction(len(event & space), len(space))\n", - " \n", - "def such_that(predicate, space): \n", - " \"\"\"The outcomes in the sample pace for which the predicate is true.\n", - " If space is a set, return a subset {outcome,...};\n", - " if space is a ProbDist, return a ProbDist {outcome: frequency,...};\n", - " in both cases only with outcomes where predicate(element) is true.\"\"\"\n", - " if isinstance(space, ProbDist):\n", - " return ProbDist({o:space[o] for o in space if predicate(o)})\n", - " else:\n", - " return {o for o in space if predicate(o)}" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "button": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "source": [ - "Here is the probability distribution for Danish two-child families:" - ] - }, - { - "cell_type": "code", - "execution_count": 42, - "metadata": { - "button": false, - "collapsed": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "outputs": [ - { - "data": { - "text/plain": [ - "{'BB': 0.2645086533229465,\n", - " 'BG': 0.24882071317004043,\n", - " 'GB': 0.24826679089140383,\n", - " 'GG': 0.23840384261560926}" - ] - }, - "execution_count": 42, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "DK = ProbDist(GG=121801, GB=126840,\n", - " BG=127123, BB=135138)\n", - "DK" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "button": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "source": [ - "And here are some predicates that will allow us to answer some questions:" - ] - }, - { - "cell_type": "code", - "execution_count": 43, - "metadata": { - "button": false, - "collapsed": true, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "outputs": [], - "source": [ - "def first_girl(outcome): return outcome[0] == 'G'\n", - "def first_boy(outcome): return outcome[0] == 'B'\n", - "def second_girl(outcome): return outcome[1] == 'G'\n", - "def second_boy(outcome): return outcome[1] == 'B'\n", - "def two_girls(outcome): return outcome == 'GG'" - ] - }, - { - "cell_type": "code", - "execution_count": 44, - "metadata": { - "button": false, - "collapsed": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "outputs": [ - { - "data": { - "text/plain": [ - "0.4866706335070131" - ] - }, - "execution_count": 44, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "P(first_girl, DK)" - ] - }, - { - "cell_type": "code", - "execution_count": 45, - "metadata": { - "button": false, - "collapsed": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "outputs": [ - { - "data": { - "text/plain": [ - "0.4872245557856497" - ] - }, - "execution_count": 45, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "P(second_girl, DK)" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "button": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "source": [ - "The above says that the probability of a girl is somewhere between 48% and 49%, but that it is slightly different between the first or second child." - ] - }, - { - "cell_type": "code", - "execution_count": 46, - "metadata": { - "button": false, - "collapsed": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "outputs": [ - { - "data": { - "text/plain": [ - "(0.4898669165584115, 0.48471942072973107)" - ] - }, - "execution_count": 46, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "P(second_girl, such_that(first_girl, DK)), P(second_girl, such_that(first_boy, DK))" - ] - }, - { - "cell_type": "code", - "execution_count": 47, - "metadata": { - "button": false, - "collapsed": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "outputs": [ - { - "data": { - "text/plain": [ - "(0.5101330834415885, 0.5152805792702689)" + "Dist({('h', 'h', 'h', 'h'): 1,\n", + " ('h', 'h', 'h', 't'): 1,\n", + " ('h', 'h', 't', 'h'): 1,\n", + " ('h', 'h', 't', 't'): 1,\n", + " ('h', 't', 'h', 'h'): 1,\n", + " ('h', 't', 'h', 't'): 1,\n", + " ('h', 't', 't', 'h'): 1,\n", + " ('t', 'h', 'h', 'h'): 1,\n", + " ('t', 'h', 'h', 't'): 1,\n", + " ('t', 'h', 't', 'h'): 1,\n", + " ('t', 't', 'h', 'h'): 1})" ] }, "execution_count": 47, @@ -1786,178 +1593,100 @@ } ], "source": [ - "P(second_boy, such_that(first_girl, DK)), P(second_boy, such_that(first_boy, DK))" + "favorable(at_least(2, 'h'), finishes(2, 3))" ] }, { "cell_type": "markdown", "metadata": { - "button": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } + "collapsed": false }, "source": [ - "The above says that the sex of the second child is more likely to be the same as the first child, by about 1/2 a percentage point." - ] - }, - { - "cell_type": "markdown", - "metadata": { - "button": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "source": [ - "# More Urn Problems: M&Ms and Bayes\n", - "\n", - "Here's another urn problem (or \"bag\" problem) [from](http://allendowney.blogspot.com/2011/10/my-favorite-bayess-theorem-problems.html) prolific Python/Probability author [Allen Downey ](http://allendowney.blogspot.com/):\n", - "\n", - "> The blue M&M was introduced in 1995. Before then, the color mix in a bag of plain M&Ms was (30% Brown, 20% Yellow, 20% Red, 10% Green, 10% Orange, 10% Tan). Afterward it was (24% Blue , 20% Green, 16% Orange, 14% Yellow, 13% Red, 13% Brown). \n", - "A friend of mine has two bags of M&Ms, and he tells me that one is from 1994 and one from 1996. He won't tell me which is which, but he gives me one M&M from each bag. One is yellow and one is green. What is the probability that the yellow M&M came from the 1994 bag?\n", - "\n", - "To solve this problem, we'll first represent probability distributions for each bag: `bag94` and `bag96`:" + "Finally, we can answer the question:" ] }, { "cell_type": "code", "execution_count": 48, "metadata": { - "button": false, - "collapsed": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } + "collapsed": false }, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "68.75" + ] + }, + "execution_count": 48, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ - "bag94 = ProbDist(brown=30, yellow=20, red=20, green=10, orange=10, tan=10)\n", - "bag96 = ProbDist(blue=24, green=20, orange=16, yellow=14, red=13, brown=13)" + "100 * win_unfinished_game(2, 3)" ] }, { "cell_type": "markdown", - "metadata": { - "button": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, + "metadata": {}, "source": [ - "Next, define `MM` as the joint distribution—the sample space for picking one M&M from each bag. The outcome `'yellow green'` means that a yellow M&M was selected from the 1994 bag and a green one from the 1996 bag." + "We agree with Pascal and Fermat; we're in good company!" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Newton's Answer to a Problem by Pepys\n", + "\n", + "\n", + "
Isaac Newton
1693
\n", + "
Samuel Pepys
1693
\n", + "
\n", + "\n", + "Let's jump ahead from 1654 all the way to 1693, [when](http://fermatslibrary.com/s/isaac-newton-as-a-probabilist) Samuel Pepys wrote to Isaac Newton posing the problem:\n", + "\n", + "> Which of the following three propositions has the greatest chance of success? \n", + " 1. Six fair dice are tossed independently and at least one “6” appears. \n", + " 2. Twelve fair dice are tossed independently and at least two “6”s appear. \n", + " 3. Eighteen fair dice are tossed independently and at least three “6”s appear.\n", + " \n", + "Newton was able to answer the question correctly (although his reasoning was not quite right); let's see how we can do. Since we're only interested in whether a die comes up as \"6\" or not, we can define a single die like this:" ] }, { "cell_type": "code", "execution_count": 49, "metadata": { - "button": false, - "collapsed": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } + "collapsed": false }, - "outputs": [ - { - "data": { - "text/plain": [ - "{'brown blue': 0.07199999999999998,\n", - " 'brown brown': 0.03899999999999999,\n", - " 'brown green': 0.059999999999999984,\n", - " 'brown orange': 0.04799999999999999,\n", - " 'brown red': 0.03899999999999999,\n", - " 'brown yellow': 0.041999999999999996,\n", - " 'green blue': 0.023999999999999994,\n", - " 'green brown': 0.012999999999999998,\n", - " 'green green': 0.02,\n", - " 'green orange': 0.015999999999999997,\n", - " 'green red': 0.012999999999999998,\n", - " 'green yellow': 0.013999999999999999,\n", - " 'orange blue': 0.023999999999999994,\n", - " 'orange brown': 0.012999999999999998,\n", - " 'orange green': 0.02,\n", - " 'orange orange': 0.015999999999999997,\n", - " 'orange red': 0.012999999999999998,\n", - " 'orange yellow': 0.013999999999999999,\n", - " 'red blue': 0.04799999999999999,\n", - " 'red brown': 0.025999999999999995,\n", - " 'red green': 0.04,\n", - " 'red orange': 0.031999999999999994,\n", - " 'red red': 0.025999999999999995,\n", - " 'red yellow': 0.027999999999999997,\n", - " 'tan blue': 0.023999999999999994,\n", - " 'tan brown': 0.012999999999999998,\n", - " 'tan green': 0.02,\n", - " 'tan orange': 0.015999999999999997,\n", - " 'tan red': 0.012999999999999998,\n", - " 'tan yellow': 0.013999999999999999,\n", - " 'yellow blue': 0.04799999999999999,\n", - " 'yellow brown': 0.025999999999999995,\n", - " 'yellow green': 0.04,\n", - " 'yellow orange': 0.031999999999999994,\n", - " 'yellow red': 0.025999999999999995,\n", - " 'yellow yellow': 0.027999999999999997}" - ] - }, - "execution_count": 49, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ - "def joint(A, B, sep=''):\n", - " \"\"\"The joint distribution of two independent probability distributions. \n", - " Result is all entries of the form {a+sep+b: P(a)*P(b)}\"\"\"\n", - " return ProbDist({a + sep + b: A[a] * B[b]\n", - " for a in A\n", - " for b in B})\n", - "\n", - "MM = joint(bag94, bag96, ' ')\n", - "MM" + "die6 = Dist({6: 1/6, '-': 5/6})" ] }, { "cell_type": "markdown", - "metadata": { - "button": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, + "metadata": {}, "source": [ - "First we'll look at the \"One is yellow and one is green\" part:" + "Next we can define the joint distribution formed by combining two independent distribution like this:" ] }, { "cell_type": "code", "execution_count": 50, "metadata": { - "button": false, - "collapsed": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } + "collapsed": false }, "outputs": [ { "data": { "text/plain": [ - "{'green yellow': 0.25925925925925924, 'yellow green': 0.7407407407407408}" + "Dist({'--': 0.6944444444444445,\n", + " '-6': 0.1388888888888889,\n", + " '6-': 0.1388888888888889,\n", + " '66': 0.027777777777777776})" ] }, "execution_count": 50, @@ -1966,32 +1695,204 @@ } ], "source": [ - "def yellow_and_green(outcome): return 'yellow' in outcome and 'green' in outcome\n", + "def joint(A, B, combine='{}{}'.format):\n", + " \"\"\"The joint distribution of two independent distributions. \n", + " Result is all entries of the form {'ab': frequency(a) * frequency(b)}\"\"\"\n", + " return Dist({combine(a, b): A[a] * B[b]\n", + " for a in A for b in B})\n", "\n", - "such_that(yellow_and_green, MM)" + "joint(die6, die6)" ] }, { "cell_type": "markdown", "metadata": { - "button": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } + "collapsed": false }, "source": [ - "Now we can answer the question: given that we got a yellow and a green (but don't know which comes from which bag), what is the probability that the yellow came from the 1994 bag?" + "And the joint distribution from rolling *n* dice:" ] }, { "cell_type": "code", "execution_count": 51, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "Dist({'----': 0.48225308641975323,\n", + " '---6': 0.09645061728395063,\n", + " '--6-': 0.09645061728395063,\n", + " '--66': 0.019290123456790122,\n", + " '-6--': 0.09645061728395063,\n", + " '-6-6': 0.019290123456790122,\n", + " '-66-': 0.019290123456790122,\n", + " '-666': 0.0038580246913580245,\n", + " '6---': 0.09645061728395063,\n", + " '6--6': 0.019290123456790126,\n", + " '6-6-': 0.019290123456790126,\n", + " '6-66': 0.0038580246913580245,\n", + " '66--': 0.019290123456790126,\n", + " '66-6': 0.0038580246913580245,\n", + " '666-': 0.0038580246913580245,\n", + " '6666': 0.0007716049382716049})" + ] + }, + "execution_count": 51, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "def dice(n, die):\n", + " \"Joint probability distribution from rolling `n` dice.\"\n", + " if n == 1:\n", + " return die\n", + " else:\n", + " return joint(die, dice(n - 1, die))\n", + " \n", + "dice(4, die6)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now we are ready to determine which proposition is more likely to have the required number of sixes:" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.665102023319616" + ] + }, + "execution_count": 52, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "P(at_least(1, '6'), dice(6, die6))" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.61866737373231" + ] + }, + "execution_count": 53, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "P(at_least(2, '6'), dice(12, die6))" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.5973456859477678" + ] + }, + "execution_count": 54, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "P(at_least(3, '6'), dice(18, die6))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We reach the same conclusion Newton did, that the best chance is rolling six dice." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "button": false, + "new_sheet": false, + "run_control": { + "read_only": false + } + }, + "source": [ + "# More Urn Problems: M&Ms and Bayes\n", + "\n", + "Here's another urn problem (actually a \"bag\" problem) [from](http://allendowney.blogspot.com/2011/10/my-favorite-bayess-theorem-problems.html) prolific Python/Probability pundit [Allen Downey ](http://allendowney.blogspot.com/):\n", + "\n", + "> The blue M&M was introduced in 1995. Before then, the color mix in a bag of plain M&Ms was (30% Brown, 20% Yellow, 20% Red, 10% Green, 10% Orange, 10% Tan). Afterward it was (24% Blue , 20% Green, 16% Orange, 14% Yellow, 13% Red, 13% Brown). \n", + "A friend of mine has two bags of M&Ms, and he tells me that one is from 1994 and one from 1996. He won't tell me which is which, but he gives me one M&M from each bag. One is yellow and one is green. What is the probability that the yellow M&M came from the 1994 bag?\n", + "\n", + "To solve this problem, we'll first create distributions for each bag: `bag94` and `bag96`:" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": { + "button": false, + "collapsed": false, + "new_sheet": false, + "run_control": { + "read_only": false + } + }, + "outputs": [], + "source": [ + "bag94 = Dist(brown=30, yellow=20, red=20, green=10, orange=10, tan=10)\n", + "bag96 = Dist(blue=24, green=20, orange=16, yellow=14, red=13, brown=13)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "button": false, + "new_sheet": false, + "run_control": { + "read_only": false + } + }, + "source": [ + "Next, define `MM` as the joint distribution—the sample space for picking one M&M from each bag. The outcome `'94:yellow 96:green'` means that a yellow M&M was selected from the 1994 bag and a green one from the 1996 bag. In this problem we don't get to see the actual outcome; we just see some evidence about the outcome, that it contains a yellow and a green." + ] + }, + { + "cell_type": "code", + "execution_count": 56, "metadata": { "button": false, "collapsed": false, - "deletable": true, "new_sheet": false, "run_control": { "read_only": false @@ -2001,25 +1902,136 @@ { "data": { "text/plain": [ - "0.7407407407407408" + "Dist({'94:brown 96:blue': 720,\n", + " '94:brown 96:brown': 390,\n", + " '94:brown 96:green': 600,\n", + " '94:brown 96:orange': 480,\n", + " '94:brown 96:red': 390,\n", + " '94:brown 96:yellow': 420,\n", + " '94:green 96:blue': 240,\n", + " '94:green 96:brown': 130,\n", + " '94:green 96:green': 200,\n", + " '94:green 96:orange': 160,\n", + " '94:green 96:red': 130,\n", + " '94:green 96:yellow': 140,\n", + " '94:orange 96:blue': 240,\n", + " '94:orange 96:brown': 130,\n", + " '94:orange 96:green': 200,\n", + " '94:orange 96:orange': 160,\n", + " '94:orange 96:red': 130,\n", + " '94:orange 96:yellow': 140,\n", + " '94:red 96:blue': 480,\n", + " '94:red 96:brown': 260,\n", + " '94:red 96:green': 400,\n", + " '94:red 96:orange': 320,\n", + " '94:red 96:red': 260,\n", + " '94:red 96:yellow': 280,\n", + " '94:tan 96:blue': 240,\n", + " '94:tan 96:brown': 130,\n", + " '94:tan 96:green': 200,\n", + " '94:tan 96:orange': 160,\n", + " '94:tan 96:red': 130,\n", + " '94:tan 96:yellow': 140,\n", + " '94:yellow 96:blue': 480,\n", + " '94:yellow 96:brown': 260,\n", + " '94:yellow 96:green': 400,\n", + " '94:yellow 96:orange': 320,\n", + " '94:yellow 96:red': 260,\n", + " '94:yellow 96:yellow': 280})" ] }, - "execution_count": 51, + "execution_count": 56, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "def yellow94(outcome): return outcome.startswith('yellow')\n", - "\n", - "P(yellow94, such_that(yellow_and_green, MM))" + "MM = joint(bag94, bag96, '94:{} 96:{}'.format)\n", + "MM" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "button": false, + "new_sheet": false, + "run_control": { + "read_only": false + } + }, + "source": [ + "We observe that \"One is yellow and one is green\":" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": { + "button": false, + "collapsed": false, + "new_sheet": false, + "run_control": { + "read_only": false + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "Dist({'94:green 96:yellow': 140, '94:yellow 96:green': 400})" + ] + }, + "execution_count": 57, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "def yellow_and_green(outcome): return 'yellow' in outcome and 'green' in outcome\n", + "\n", + "favorable(yellow_and_green, MM)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Given this observation, we want to know \"What is the probability that the yellow M&M came from the 1994 bag?\"" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": { + "button": false, + "collapsed": false, + "new_sheet": false, + "run_control": { + "read_only": false + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.7407407407407407" + ] + }, + "execution_count": 58, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "def yellow94(outcome): return '94:yellow' in outcome\n", + "\n", + "P(yellow94, favorable(yellow_and_green, MM))" ] }, { "cell_type": "markdown", "metadata": { "button": false, - "deletable": true, "new_sheet": false, "run_control": { "read_only": false @@ -2035,7 +2047,7 @@ "
Rev. Thomas Bayes
1701-1761\n", "
\n", "\n", - "Of course, we *could* solve it using Bayes Theorem. Why is Bayes Theorem recommended? Because we are asked about the probability of an event given the evidence, which is not immediately available; however the probability of the evidence given the event is. \n", + "Of course, we *could* solve it using Bayes Theorem. Why is Bayes Theorem recommended? Because we are asked about the probability of an outcome given the evidence—the probability the yellow came from the 94 bag, given that there is a yellow and a green. But the problem statement doesn't directly tell us the probability of that outcome given the evidence; it just tells us the probability of the evidence given the outcome. \n", "\n", "Before we see the colors of the M&Ms, there are two hypotheses, `A` and `B`, both with equal probability:\n", "\n", @@ -2051,7 +2063,7 @@ " \n", " P(A | E)\n", " \n", - "That's not easy to calculate (except by enumerating the sample space). But Bayes Theorem says:\n", + "That's not easy to calculate (except by enumerating the sample space, which our `P` function does). But Bayes Theorem says:\n", " \n", " P(A | E) = P(E | A) * P(A) / P(E)\n", " \n", @@ -2070,171 +2082,12 @@ " = 0.04 * 0.5 / 0.027 \n", " = 0.7407407407\n", " \n", - "You have a choice: Bayes Theorem allows you to do less calculation at the cost of more algebra; that is a great trade-off if you are working with pencil and paper. Enumerating the state space allows you to do less algebra at the cost of more calculation; often a good trade-off if you have a computer. But regardless of the approach you use, it is important to understand Bayes theorem and how it works.\n", + "You have a choice: Bayes Theorem allows you to do less calculation at the cost of more algebra; that is a great trade-off if you are working with pencil and paper. Enumerating the sample space allows you to do less algebra at the cost of more calculation; usually a good trade-off if you have a computer. But regardless of the approach you use, it is important to understand Bayes theorem and how it works.\n", "\n", "There is one important question that Allen Downey does not address: *would you eat twenty-year-old M&Ms*?\n", "😨" ] }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Newton's Answer to a Problem by Pepys\n", - "\n", - "\n", - "
Isaac Newton
1693
\n", - "
Samuel Pepys
1693
\n", - "
\n", - "\n", - "[This paper](http://fermatslibrary.com/s/isaac-newton-as-a-probabilist) explains how Samuel Pepys wrote to Isaac Newton in 1693 to pose the problem:\n", - "\n", - "> Which of the following three propositions has the greatest chance of success? \n", - " 1. Six fair dice are tossed independently and at least one “6” appears. \n", - " 2. Twelve fair dice are tossed independently and at least two “6”s appear. \n", - " 3. Eighteen fair dice are tossed independently and at least three “6”s appear.\n", - " \n", - "Newton was able to answer the question correctly (although his reasoning was not quite right); let's see how we can do. Since we're only interested in whether a die comes up as \"6\" or not, we can define a single die and the joint distribution over *n* dice as follows:" - ] - }, - { - "cell_type": "code", - "execution_count": 52, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "die = ProbDist({'6':1/6, '-':5/6})\n", - "\n", - "def dice(n, die):\n", - " \"Joint probability from tossing n dice.\"\n", - " if n == 1:\n", - " return die\n", - " else:\n", - " return joint(die, dice(n - 1, die))" - ] - }, - { - "cell_type": "code", - "execution_count": 53, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "{'---': 0.5787037037037037,\n", - " '--6': 0.11574074074074073,\n", - " '-6-': 0.11574074074074073,\n", - " '-66': 0.023148148148148143,\n", - " '6--': 0.11574074074074073,\n", - " '6-6': 0.023148148148148143,\n", - " '66-': 0.023148148148148143,\n", - " '666': 0.0046296296296296285}" - ] - }, - "execution_count": 53, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "dice(3, die)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now we are ready to determine which proposition is more likely to have the required number of sixes:" - ] - }, - { - "cell_type": "code", - "execution_count": 54, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "def at_least(k, result): return lambda s: s.count(result) >= k" - ] - }, - { - "cell_type": "code", - "execution_count": 55, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "0.6651020233196158" - ] - }, - "execution_count": 55, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "P(at_least(1, '6'), dice(6, die))" - ] - }, - { - "cell_type": "code", - "execution_count": 56, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "0.6186673737322984" - ] - }, - "execution_count": 56, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "P(at_least(2, '6'), dice(12, die))" - ] - }, - { - "cell_type": "code", - "execution_count": 57, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "0.5973456859478073" - ] - }, - "execution_count": 57, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "P(at_least(3, '6'), dice(18, die))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We reach the same conclusion Newton did, that the best chance is rolling six dice." - ] - }, { "cell_type": "markdown", "metadata": { @@ -2250,51 +2103,52 @@ "\n", "# Simulation\n", "\n", - "Sometimes it is inconvenient to explicitly define a sample space. Perhaps the sample space is infinite, or perhaps it is just very large and complicated, and we feel more confident in writing a program to *simulate* one pass through all the complications, rather than try to *enumerate* the complete sample space. *Random sampling* from the simulation\n", - "can give an accurate estimate of the probability.\n", + "Sometimes it is inconvenient, difficult, or even impossible to explicitly enumerate a sample space. Perhaps the sample space is infinite, or perhaps it is just very large and complicated (perhaps with a bunch of low-probability outcomes that don't seem very important). In that case, we might feel more confident in writing a program to *simulate* a random outcome. *Random sampling* from such a simulation\n", + "can give an accurate estimate of probability.\n", "\n", "# Simulating Monopoly\n", "\n", - "![](http://buckwolf.org/a.abcnews.com/images/Entertainment/ho_hop_go_050111_t.jpg)
[Mr. Monopoly](https://en.wikipedia.org/wiki/Rich_Uncle_Pennybags)
1940—\n", + "![Mr. Monopoly](http://buckwolf.org/a.abcnews.com/images/Entertainment/ho_hop_go_050111_t.jpg)
[Mr. Monopoly](https://en.wikipedia.org/wiki/Rich_Uncle_Pennybags)
1940—\n", "\n", - "Consider [problem 84](https://projecteuler.net/problem=84) from the excellent [Project Euler](https://projecteuler.net), which asks for the probability that a player in the game Monopoly ends a roll on each of the squares on the board. To answer this we need to take into account die rolls, chance and community chest cards, and going to jail (from the \"go to jail\" space, from a card, or from rolling doubles three times in a row). We do not need to take into account anything about buying or selling properties or exchanging money or winning or losing the game, because these don't change a player's location. We will assume that a player in jail will always pay to get out of jail immediately. \n", + "Consider [problem 84](https://projecteuler.net/problem=84) from the excellent [Project Euler](https://projecteuler.net), which asks for the probability that a player in the game Monopoly ends a roll on each of the squares on the board. To answer this we need to take into account die rolls, chance and community chest cards, and going to jail (from the \"go to jail\" space, from a card, or from rolling doubles three times in a row). We do not need to take into account anything about acquiring properties or exchanging money or winning or losing the game, because these events don't change a player's location. \n", "\n", - "A game of Monopoly can go on forever, so the sample space is infinite. But even if we limit the sample space to say, 1000 rolls, there are $21^{1000}$ such sequences of rolls (and even more possibilities when we consider drawing cards). So it is infeasible to explicitly represent the sample space.\n", + "A game of Monopoly can go on forever, so the sample space is infinite. Even if we limit the sample space to say, 1000 rolls, there are $21^{1000}$ such sequences of rolls, and even more possibilities when we consider drawing cards. So it is infeasible to explicitly represent the sample space. There are techniques for representing the problem as\n", + "a Markov decision problem (MDP) and solving it, but the math is complex (a [paper](https://faculty.math.illinois.edu/~bishop/monopoly.pdf) on the subject runs 15 pages).\n", "\n", - "But it is fairly straightforward to implement a simulation and run it for, say, 400,000 rolls (so the average square will be landed on 10,000 times). Here is the code for a simulation:" + "The simplest approach is to implement a simulation and run it for, say, a million rolls. Here is the code for a simulation:" ] }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 59, "metadata": { "collapsed": false }, "outputs": [], "source": [ - "from collections import deque\n", - "import random\n", + "from collections import deque as Deck # a Deck of community chest or chance cards\n", "\n", - "# The board: as specified by https://projecteuler.net/problem=84\n", + "# The Monopoly board, as specified by https://projecteuler.net/problem=84\n", "(GO, A1, CC1, A2, T1, R1, B1, CH1, B2, B3,\n", " JAIL, C1, U1, C2, C3, R2, D1, CC2, D2, D3, \n", " FP, E1, CH2, E2, E3, R3, F1, F2, U2, F3, \n", " G2J, G1, G2, CC3, G3, R4, CH3, H1, T2, H2) = board = range(40)\n", "\n", - "Deck = deque\n", - "\n", + "# A card is either a square, a set of squares meaning advance to the nearest, \n", + "# a -3 to go back 3 spaces, or None meaning no change to location.\n", "CC_deck = Deck([GO, JAIL] + 14 * [None])\n", - "CH_deck = Deck([GO, JAIL, C1, E3, H2, R1, {R1, R2, R3, R4}, {R1, R2, R3, R4}, {U1, U2}, -3] + 6 * [None])\n", + "CH_deck = Deck([GO, JAIL, C1, E3, H2, R1, -3, {U1, U2}] \n", + " + 2 * [{R1, R2, R3, R4}] + 6 * [None])\n", "\n", - "def monopoly(steps):\n", - " \"\"\"Simulate given number of steps of a Monopoly game, \n", + "def monopoly(rolls):\n", + " \"\"\"Simulate given number of dice rolls of a Monopoly game, \n", " and return the counts of how often each square is visited.\"\"\"\n", " counts = [0] * len(board)\n", - " doubles = 0\n", + " doubles = 0 # Number of consecutive doubles rolled\n", " random.shuffle(CC_deck)\n", " random.shuffle(CH_deck)\n", " goto(GO)\n", - " for _ in range(steps):\n", + " for _ in range(rolls):\n", " d1, d2 = random.randint(1, 6), random.randint(1, 6)\n", " doubles = (doubles + 1 if d1 == d2 else 0)\n", " goto(here + d1 + d2)\n", @@ -2315,14 +2169,15 @@ "\n", "def do_card(deck):\n", " \"Take the top card from deck and do what it says.\"\n", - " card = deck[0] # The top card\n", - " deck.rotate(-1) # Move top card to bottom of deck\n", + " card = deck.popleft() # The top card\n", + " deck.append(card) # Move top card to bottom of deck\n", " if card == None: # Don't move\n", " pass\n", " elif card == -3: # Go back 3 spaces\n", " goto(here - 3)\n", " elif isinstance(card, set): # Advance to next railroad or utility\n", - " goto(min({place for place in card if place > here} or card))\n", + " next1 = min({place for place in card if place > here} or card)\n", + " goto(next1)\n", " else: # Go to destination named on card\n", " goto(card)" ] @@ -2338,12 +2193,12 @@ } }, "source": [ - "And the results:" + "Let's run the simulation for a million dice rolls:" ] }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 60, "metadata": { "button": false, "collapsed": false, @@ -2355,7 +2210,7 @@ }, "outputs": [], "source": [ - "counts = monopoly(400000)" + "counts = monopoly(10**6)" ] }, { @@ -2369,12 +2224,12 @@ } }, "source": [ - "I'll show a histogram of the squares, with a dotted red line at the average:" + "And print a table of square names and their percentages:" ] }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 61, "metadata": { "button": false, "collapsed": false, @@ -2386,321 +2241,295 @@ }, "outputs": [ { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" + "name": "stdout", + "output_type": "stream", + "text": [ + "JAIL 6.23%\n", + "E3 3.21%\n", + "R3 3.09%\n", + "GO 3.09%\n", + "D3 3.08%\n", + "R1 3.00%\n", + "D2 2.94%\n", + "R2 2.91%\n", + "E1 2.85%\n", + "FP 2.84%\n", + "U2 2.80%\n", + "D1 2.78%\n", + "E2 2.72%\n", + "C1 2.69%\n", + "F1 2.69%\n", + "F2 2.66%\n", + "G2 2.64%\n", + "G1 2.64%\n", + "H2 2.63%\n", + "F3 2.61%\n", + "U1 2.61%\n", + "CC2 2.60%\n", + "G3 2.48%\n", + "C3 2.46%\n", + "R4 2.41%\n", + "CC3 2.40%\n", + "C2 2.39%\n", + "T1 2.34%\n", + "B2 2.31%\n", + "B3 2.29%\n", + "B1 2.26%\n", + "H1 2.21%\n", + "T2 2.17%\n", + "A2 2.15%\n", + "A1 2.15%\n", + "CC1 1.88%\n", + "CH2 1.07%\n", + "CH3 0.91%\n", + "CH1 0.82%\n", + "G2J 0.00%\n" + ] } ], + "source": [ + "property_names = \"\"\"\n", + " GO, A1, CC1, A2, T1, R1, B1, CH1, B2, B3,\n", + " JAIL, C1, U1, C2, C3, R2, D1, CC2, D2, D3, \n", + " FP, E1, CH2, E2, E3, R3, F1, F2, U2, F3, \n", + " G2J, G1, G2, CC3, G3, R4, CH3, H1, T2, H2\"\"\".replace(',', ' ').split()\n", + "\n", + "for (c, n) in sorted(zip(counts, property_names), reverse=True):\n", + " print('{:4} {:.2%}'.format(n, c / sum(counts)))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "button": false, + "deletable": true, + "new_sheet": false, + "run_control": { + "read_only": false + } + }, + "source": [ + "There is one square far above average: `JAIL`, at a little over 6%. There are four squares far below average: the three chance squares, `CH1`, `CH2`, and `CH3`, at around 1% (because 10 of the 16 chance cards send the player away from the square), and the \"Go to Jail\" square, which has a frequency of 0 because you can't end a turn there. The other squares are around 2% to 3% each, which you would expect, because 100% / 40 = 2.5%." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# The Central Limit Theorem \n", + "\n", + "We have covered the concept of *distributions* of outcomes. You may have heard of the *normal distribution*, the *bell-shaped curve.* In Python it is called `random.normalvariate` (also `random.gauss`). We can plot it with the help of the `repeated_hist` function defined below, which samples a distribution `n` times and displays a histogram of the results. (*Note:* in this section I am using \"distribution\" to mean a function that, each time it is called, returns a random sample from a distribution. I am not using it to mean a mapping of type `Dist`.)" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": { + "collapsed": false + }, + "outputs": [], "source": [ "%matplotlib inline \n", "import matplotlib.pyplot as plt\n", - "\n", - "plt.hist(list(range(40)), bins=40, weights=counts, normed=True)\n", - "plt.plot([0, 39], [1/40, 1/40], 'r--');" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "button": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "source": [ - "There is one square far above average: `JAIL`, at a little over 6%. There are four squares far below average: the three chance squares, `CH1`, `CH2`, and `CH3`, at around 1% (because 10 of the 16 chance cards send the player away from the square), and the \"Go to Jail\" square, square number 30 on the plot, which has a frequency of 0 because you can't end a turn there. The other squares are around 2% to 3% each, which you would expect, because 100% / 40 = 2.5%." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# The Central Limit Theorem / Strength in Numbers Theorem\n", - "\n", - "So far, we have talked of an *outcome* as being a single state of the world. But it can be useful to break that state of the world down into components. We call these components **random variables**. For example, when we consider an experiment in which we roll two dice and observe their sum, we could model the situation with two random variables, one for each die. (Our representation of outcomes has been doing that implicitly all along, when we concatenate two parts of a string, but the concept of a random variable makes it official.)\n", - "\n", - "The **Central Limit Theorem** states that if you have a collection of random variables and sum them up, then the larger the collection, the closer the sum will be to a *normal distribution* (also called a *Gaussian distribution* or a *bell-shaped curve*). The theorem applies in all but a few pathological cases. \n", - "\n", - "As an example, let's take 5 random variables reprsenting the per-game scores of 5 basketball players, and then sum them together to form the team score. Each random variable/player is represented as a function; calling the function returns a single sample from the distribution:\n" - ] - }, - { - "cell_type": "code", - "execution_count": 24, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "from random import gauss, triangular, choice, vonmisesvariate, uniform\n", - "\n", - "def SC(): return posint(gauss(15.1, 3) + 3 * triangular(1, 4, 13)) # 30.1\n", - "def KT(): return posint(uniform(5.2, 15.2) + 3 * triangular(1, 3.5, 9)) # 22.1\n", - "def DG(): return posint(vonmisesvariate(30, 2) * 3.08) # 14.0\n", - "def HB(): return posint(gauss(6.7, 1.5) if choice((True, False)) else gauss(16.7, 2.5)) # 11.7\n", - "def OT(): return posint(triangular(0, 12, 20) + uniform(0, 40) + gauss(6, 3)) # 37.0\n", - "\n", - "def posint(x): \"Positive integer\"; return max(0, int(round(x)))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "And here is a function to sample a random variable *k* times, show a histogram of the results, and return the mean:" - ] - }, - { - "cell_type": "code", - "execution_count": 34, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ "from statistics import mean\n", + "from random import normalvariate, triangular, choice, vonmisesvariate, uniform\n", "\n", - "def repeated_hist(rv, bins=10, k=200000):\n", - " \"Repeat rv() k times and make a histogram of the results.\"\n", - " samples = [rv() for _ in range(k)]\n", - " plt.hist(samples, bins=bins)\n", - " return mean(samples)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The two top-scoring players have scoring distributions that are slightly skewed from normal:" - ] - }, - { - "cell_type": "code", - "execution_count": 35, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "30.12574" - ] - }, - "execution_count": 35, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "repeated_hist(HB, bins=range(60))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The fifth \"player\" (actually the sum of all the other players on the team) looks like this:" - ] - }, - { - "cell_type": "code", - "execution_count": 39, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "36.338295" - ] - }, - "execution_count": 39, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "repeated_hist(OT, bins=range(0, 70, 2))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now we define the team score to be the sum of the five players, and look at the distribution:" - ] - }, - { - "cell_type": "code", - "execution_count": 40, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "114.30268" - ] - }, - "execution_count": 40, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "def GSW(): return SC() + KT() + DG() + HB() + OT()\n", + "def normal(mu=0, sigma=1): return random.normalvariate(mu, sigma)\n", "\n", - "repeated_hist(GSW, bins=range(70, 160, 2))" + "def repeated_hist(dist, n=10**6, bins=100):\n", + " \"Sample the distribution n times and make a histogram of the results.\"\n", + " samples = [dist() for _ in range(n)]\n", + " plt.hist(samples, bins=bins, normed=True)\n", + " plt.title('{} (μ = {:.1f})'.format(dist.__name__, mean(samples)))\n", + " plt.grid(axis='x')\n", + " plt.yticks([], '')\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Normal distribution\n", + "repeated_hist(normal)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Sure enough, this looks very much like a normal distribution. The Central Limit Theorem appears to hold in this case. But I have to say \"Central Limit\" is not a very evocative name, so I propose we re-name this as the **Strength in Numbers Theorem**, to indicate the fact that if you have a lot of numbers, you tend to get the expected result." + "Why is this distribution called *normal*? The **Central Limit Theorem** says that it is the ultimate limit of other distributions, as follows (informally):\n", + "- Gather *k* independent distributions. They need not be normal-shaped.\n", + "- Define a new distribution to be the result of sampling one number from each of the *k* independent distributions and adding them up.\n", + "- As long as *k* is not too small, and the component distributions are not super-pathological, then the new distribution will tend towards a normal distribution.\n", + "\n", + "Here's a simple example: summing ten independent die rolls:" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def sum10dice(): return sum(random.randint(1, 6) for _ in range(10))\n", + "\n", + "repeated_hist(sum10dice, bins=range(10, 61))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "As another example, let's take just *k* = 5 component distributions representing the per-game scores of 5 basketball players, and then sum them together to form the new distribution, the team score. I'll be creative in defining the distributions for each player, but [historically accurate](https://www.basketball-reference.com/teams/GSW/2016.html) in the mean for each distribution." + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "def SC(): return max(0, normal(12.1, 3) + 3 * triangular(1, 13, 4)) # 30.1\n", + "def KT(): return max(0, triangular(8, 22, 15.3) + choice((0, 3 * triangular(1, 9, 4)))) # 22.1\n", + "def DG(): return max(0, vonmisesvariate(30, 2) * 3.08) # 14.0\n", + "def HB(): return max(0, choice((normal(6.7, 1.5), normal(16.7, 2.5)))) # 11.7\n", + "def BE(): return max(0, normal(17, 3) + uniform(0, 40)) # 37.0\n", + "\n", + "team = (SC, KT, DG, HB, BE)\n", + "\n", + "def Team(team=team): return sum(player() for player in team)" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "for player in team: \n", + " repeated_hist(player, bins=range(70))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can see that none of the players have a distribution that looks like a normal distribution: `SC` is skewed to one side (the mean is 5 points to the right of the peak); the three next players have bimodal distributions; and `BE` is too flat on top. \n", + "\n", + "Now we define the team score to be the sum of the *k* = 5 players, and display this new distribution:" + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "repeated_hist(Team, bins=range(50, 180))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Sure enough, this looks very much like a normal distribution. The **Central Limit Theorem** appears to hold in this case. But I have to say: \"Central Limit\" is not a very evocative name, so I propose we re-name this as the **Strength in Numbers Theorem**, to indicate the fact that if you have a lot of numbers, you tend to get the expected result." ] }, { @@ -2718,10 +2547,7 @@ "\n", "We've had an interesting tour and met some giants of the field: Laplace, Bernoulli, Fermat, Pascal, Bayes, Newton, ... even Mr. Monopoly and The Count.\n", "\n", - "![The Count](http://img2.oncoloring.com/count-dracula-number-thir_518b77b54ba6c-p.gif)\n", - "
The Count
1972—
\n", - "\n", - "The conclusion is: be explicit about what the problem says, and then methodical about defining the sample space, and finally be careful in counting the number of outcomes in the numerator and denominator. Easy as 1-2-3. " + "The conclusion is: be methodical in defining the sample space and the event(s) of interest, and be careful in counting the number of outcomes in the numerator and denominator. and you can't go wrong. Easy as 1-2-3. " ] }, { @@ -2734,7 +2560,7 @@ "\n", "Everything up to here has been about discrete, finite sample spaces, where we can *enumerate* all the possible outcomes. \n", "\n", - "But I was asked about *continuous* sample spaces, such as the space of real numbers. The principles are the same: probability is still the ratio of the favorable cases to all the cases, but now instead of *counting* cases, we have to (in general) compute integrals to compare the sizes of cases. \n", + "But a reader asked about *continuous* sample spaces, such as the space of real numbers. The principles are the same: probability is still the ratio of the favorable cases to all the cases, but now instead of *counting* cases, we have to (in general) compute integrals to compare the sizes of cases. \n", "Here we will cover a simple example, which we first solve approximately by simulation, and then exactly by calculation.\n", "\n", "## The Hot New Game Show Problem: Simulation\n", @@ -2753,6 +2579,51 @@ "First, simulate the number that a player with a given cutoff gets (note that `random.random()` returns a float sampled uniformly from the interval [0..1]):" ] }, + { + "cell_type": "code", + "execution_count": 68, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "number= random.random\n", + "\n", + "def strategy(cutoff):\n", + " \"Play the game with given cutoff, returning the first or second random number.\"\n", + " first = number()\n", + " return first if first > cutoff else number()" + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.7567488540951384" + ] + }, + "execution_count": 69, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "strategy(.5)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now compare the numbers returned with a cutoff of *A* versus a cutoff of *B*, and repeat for a large number of trials; this gives us an estimate of the probability that cutoff *A* is better than cutoff *B*:" + ] + }, { "cell_type": "code", "execution_count": 70, @@ -2761,10 +2632,10 @@ }, "outputs": [], "source": [ - "def number(cutoff):\n", - " \"Play the game with given cutoff, returning the first or second random number.\"\n", - " first = random.random()\n", - " return first if first > cutoff else random.random()" + "def Pwin(A, B, trials=20000):\n", + " \"The probability that cutoff A wins against cutoff B.\"\n", + " return mean(strategy(A) > strategy(B) \n", + " for _ in range(trials))" ] }, { @@ -2777,7 +2648,7 @@ { "data": { "text/plain": [ - "0.6118974990212028" + "0.5668" ] }, "execution_count": 71, @@ -2786,14 +2657,14 @@ } ], "source": [ - "number(.5)" + "Pwin(0.6, 0.9)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Now compare the numbers returned with a cutoff of *A* versus a cutoff of *B*, and repeat for a large number of trials; this gives us an estimate of the probability that cutoff *A* is better than cutoff *B*:" + "Now define a function, `top`, that considers a collection of possible cutoffs, estimate the probability for each cutoff playing against each other cutoff, and returns a list with the `N` top cutoffs (the ones that defeated the most number of opponent cutoffs), and the number of opponents they defeat: " ] }, { @@ -2804,11 +2675,11 @@ }, "outputs": [], "source": [ - "def Pwin(A, B, trials=30000):\n", - " \"The probability that cutoff A wins against cutoff B.\"\n", - " Awins = sum(number(A) > number(B) \n", - " for _ in range(trials))\n", - " return Awins / trials" + "def top(N, cutoffs):\n", + " \"Return the N best cutoffs and the number of opponent cutoffs they beat.\"\n", + " winners = Counter(A if Pwin(A, B) > 0.5 else B\n", + " for (A, B) in itertools.combinations(cutoffs, 2))\n", + " return winners.most_common(N)" ] }, { @@ -2821,7 +2692,16 @@ { "data": { "text/plain": [ - "0.5018" + "[(0.6100000000000001, 44),\n", + " (0.60000000000000009, 43),\n", + " (0.63000000000000012, 43),\n", + " (0.55000000000000004, 42),\n", + " (0.58000000000000007, 42),\n", + " (0.56000000000000005, 42),\n", + " (0.62000000000000011, 42),\n", + " (0.64000000000000012, 41),\n", + " (0.65000000000000013, 41),\n", + " (0.57000000000000006, 40)]" ] }, "execution_count": 73, @@ -2829,68 +2709,10 @@ "output_type": "execute_result" } ], - "source": [ - "Pwin(.5, .6)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now define a function, `top`, that considers a collection of possible cutoffs, estimate the probability for each cutoff playing against each other cutoff, and returns a list with the `N` top cutoffs (the ones that defeated the most number of opponent cutoffs), and the number of opponents they defeat: " - ] - }, - { - "cell_type": "code", - "execution_count": 74, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "from collections import Counter\n", - "\n", - "def top(N, cutoffs):\n", - " \"Return the N best cutoffs and the number of opponent cutoffs they beat.\"\n", - " winners = Counter(A if Pwin(A, B) > 0.5 else B\n", - " for (A, B) in itertools.combinations(cutoffs, 2))\n", - " return winners.most_common(N)" - ] - }, - { - "cell_type": "code", - "execution_count": 75, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "CPU times: user 19.8 s, sys: 72.1 ms, total: 19.9 s\n", - "Wall time: 20 s\n" - ] - }, - { - "data": { - "text/plain": [ - "[(0.60000000000000009, 46),\n", - " (0.58000000000000007, 43),\n", - " (0.59000000000000008, 43),\n", - " (0.64000000000000012, 42),\n", - " (0.65000000000000013, 41)]" - ] - }, - "execution_count": 75, - "metadata": {}, - "output_type": "execute_result" - } - ], "source": [ "from numpy import arange\n", "\n", - "%time top(5, arange(0.50, 0.99, 0.01))" + "top(10, arange(0.5, 1.0, 0.01))" ] }, { @@ -2929,7 +2751,7 @@ }, { "cell_type": "code", - "execution_count": 76, + "execution_count": 74, "metadata": { "collapsed": true }, @@ -2945,7 +2767,7 @@ }, { "cell_type": "code", - "execution_count": 77, + "execution_count": 75, "metadata": { "collapsed": false }, @@ -2956,7 +2778,7 @@ "0.4" ] }, - "execution_count": 77, + "execution_count": 75, "metadata": {}, "output_type": "execute_result" } @@ -2984,7 +2806,7 @@ }, { "cell_type": "code", - "execution_count": 78, + "execution_count": 76, "metadata": { "collapsed": true }, @@ -2998,16 +2820,38 @@ " + A * (1-B) * Phigher(0, B)) # A below, B above" ] }, + { + "cell_type": "code", + "execution_count": 77, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.495" + ] + }, + "execution_count": 77, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "Pwin(0.5, 0.6)" + ] + }, { "cell_type": "markdown", "metadata": {}, "source": [ - "That was a lot of algebra. Let's define a few tests to check for obvious errors:" + "`Pwin` relies on a lot of algebra. Let's define a few tests to check for obvious errors:" ] }, { "cell_type": "code", - "execution_count": 79, + "execution_count": 78, "metadata": { "collapsed": false }, @@ -3018,15 +2862,15 @@ "'ok'" ] }, - "execution_count": 79, + "execution_count": 78, "metadata": {}, "output_type": "execute_result" } ], "source": [ "def test():\n", - " assert Phigher(0.5, 0.5) == Phigher(0.7, 0.7) == Phigher(0, 0) == 0.5\n", - " assert Pwin(0.5, 0.5) == Pwin(0.7, 0.7) == 0.5\n", + " assert Phigher(0.5, 0.5) == Phigher(0.75, 0.75) == Phigher(0, 0) == 0.5\n", + " assert Pwin(0.5, 0.5) == Pwin(0.75, 0.75) == 0.5\n", " assert Phigher(.6, .5) == 0.6\n", " assert Phigher(.5, .6) == 0.4\n", " return 'ok'\n", @@ -3043,7 +2887,7 @@ }, { "cell_type": "code", - "execution_count": 80, + "execution_count": 79, "metadata": { "collapsed": false }, @@ -3051,20 +2895,25 @@ { "data": { "text/plain": [ - "[(0.62000000000000011, 48),\n", - " (0.6100000000000001, 47),\n", - " (0.60000000000000009, 46),\n", - " (0.59000000000000008, 45),\n", - " (0.63000000000000012, 44)]" + "[(0.62000000000000011, 49),\n", + " (0.6100000000000001, 48),\n", + " (0.60000000000000009, 47),\n", + " (0.59000000000000008, 46),\n", + " (0.63000000000000012, 45),\n", + " (0.58000000000000007, 44),\n", + " (0.57000000000000006, 43),\n", + " (0.64000000000000012, 42),\n", + " (0.56000000000000005, 41),\n", + " (0.55000000000000004, 40)]" ] }, - "execution_count": 80, + "execution_count": 79, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "top(5, arange(0.50, 0.99, 0.01))" + "top(10, arange(0.5, 1.0, 0.01))" ] }, { @@ -3076,7 +2925,7 @@ }, { "cell_type": "code", - "execution_count": 81, + "execution_count": 80, "metadata": { "collapsed": false }, @@ -3096,13 +2945,13 @@ " (0.6110000000000001, 190)]" ] }, - "execution_count": 81, + "execution_count": 80, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "top(10, arange(0.500, 0.700, 0.001))" + "top(10, arange(0.5, 0.7, 0.001))" ] }, { @@ -3112,6 +2961,46 @@ "This says 0.618 is best, better than 0.620. We can get even more accuracy:" ] }, + { + "cell_type": "code", + "execution_count": 81, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[(0.61803400000002973, 2000),\n", + " (0.6180330000000297, 1999),\n", + " (0.61803200000002967, 1998),\n", + " (0.61803500000002976, 1997),\n", + " (0.61803100000002964, 1996),\n", + " (0.61803000000002961, 1995),\n", + " (0.61802900000002958, 1994),\n", + " (0.61803600000002978, 1993),\n", + " (0.61802800000002955, 1992),\n", + " (0.61802700000002952, 1991)]" + ] + }, + "execution_count": 81, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "top(10, arange(0.617, 0.619, 0.000001))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "So 0.618034 is best. Does that number [look familiar](https://en.wikipedia.org/wiki/Golden_ratio)? Can we prove that it is what I think it is?\n", + "\n", + "To understand the strategic possibilities, it is helpful to draw a 3D plot of `Pwin(A, B)` for values of *A* and *B* between 0 and 1:" + ] + }, { "cell_type": "code", "execution_count": 82, @@ -3121,44 +3010,9 @@ "outputs": [ { "data": { + "image/png": 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+SnFUjhwpxZHX61WNGTkJ7SKGTtNwEaB7SxkSQx2OLMsoFAooFostI4JkWcbS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blN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F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\nXJGF8W4iatBpeHGhvIF7fh6VCR1I+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i54kWwGDaFEa+YZwGk0JW3H/fidt0MVgqeHLr5H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\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NsbGxMTgcDjQ1NW16CCidTkdOTg5kMhkKCwtBp9NhMBgwMTFBpX9nZmbG7YPKaDRidHQU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\nlyM0NNSsPTw1NTW4c+cOIiIiLHZHp7293RiMBEE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"text/plain": [ - "[(0.61802999999999531, 200),\n", - " (0.61801999999999535, 199),\n", - " (0.61803999999999526, 198),\n", - " (0.6180099999999954, 197),\n", - " (0.61799999999999544, 196)]" - ] - }, - "execution_count": 82, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "top(5, arange(0.61700, 0.61900, 0.00001))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "So 0.61803 is best. Does that number [look familiar](https://en.wikipedia.org/wiki/Golden_ratio)? Can you prove that it is what I think it is?\n", - "\n", - "To understand the strategic possibilities, it is helpful to draw a 3D plot of `Pwin(A, B)` for values of *A* and *B* between 0 and 1:" - ] - }, - { - "cell_type": "code", - "execution_count": 83, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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ZTAbP8wJ/n6ph0aJF7L77Ptx33zYkk/cRdrEDL6J1AtgtaEN8QOF5bwAfKfP3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\nXv7yl1vw+58j0VGVi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AyjH3Bfhc7/EiNG/B/bb799Uu+os6LhcDiZMXdSFjhdhqdmOpib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\nC3jsIh6PJ7uxhBD88MMP9O7dOxnwZOvEqhmjJXBCFiPdBllJx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u0s/GvMMAz0er3pPavV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- "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -3194,7 +3048,7 @@ }, { "cell_type": "code", - "execution_count": 84, + "execution_count": 83, "metadata": { "collapsed": false }, @@ -3202,7 +3056,38 @@ "source": [ "cutoffs = (set(arange(0.00, 1.00, 0.01)) | \n", " set(arange(0.500, 0.700, 0.001)) | \n", - " set(arange(0.61700, 0.61900, 0.00001)))" + " set(arange(0.61803, 0.61804, 0.000001)))\n", + "\n", + "def Pwin_summary(A, B): return [Pwin(A, B), 'A:', A, 'B:', B]" + ] + }, + { + "cell_type": "code", + "execution_count": 84, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[0.625, 'A:', 0.5, 'B:', 0.0]" + ] + }, + "execution_count": 84, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "max(Pwin_summary(A, B) for A in cutoffs for B in cutoffs)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "So **A** could win 62.5% of the time if only **B** would chose a cutoff of 0. But, unfortunately for **A**, a rational player **B** is not going to do that. We can ask what happens if the game is changed so that player **A** has to declare a cutoff first, and then player **B** gets to respond with a cutoff, with full knowledge of **A**'s choice. In other words, what cutoff should **A** choose to maximize `Pwin(A, B)`, given that **B** is going to take that knowledge and pick a cutoff that minimizes `Pwin(A, B)`? " ] }, { @@ -3215,7 +3100,7 @@ { "data": { "text/plain": [ - "[0.625, 0.5, 0.0]" + "[0.5, 'A:', 0.61803400000000008, 'B:', 0.61803400000000008]" ] }, "execution_count": 85, @@ -3224,37 +3109,7 @@ } ], "source": [ - "max([Pwin(A, B), A, B]\n", - " for A in cutoffs for B in cutoffs)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "So **A** could win 62.5% of the time if only **B** would chose a cutoff of 0. But, unfortunately for **A**, a rational player **B** is not going to do that. We can ask what happens if the game is changed so that player **A** has to declare a cutoff first, and then player **B** gets to respond with a cutoff, with full knowledge of **A**'s choice. In other words, what cutoff should **A** choose to maximize `Pwin(A, B)`, given that **B** is going to take that knowledge and pick a cutoff that minimizes `Pwin(A, B)`? " - ] - }, - { - "cell_type": "code", - "execution_count": 86, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "[0.5, 0.61802999999999531, 0.61802999999999531]" - ] - }, - "execution_count": 86, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "max(min([Pwin(A, B), A, B] for B in cutoffs)\n", + "max(min(Pwin_summary(A, B) for B in cutoffs)\n", " for A in cutoffs)" ] }, @@ -3267,7 +3122,7 @@ }, { "cell_type": "code", - "execution_count": 87, + "execution_count": 86, "metadata": { "collapsed": false }, @@ -3275,16 +3130,16 @@ { "data": { "text/plain": [ - "[0.5, 0.61802999999999531, 0.61802999999999531]" + "[0.5, 'A:', 0.61803400000000008, 'B:', 0.61803400000000008]" ] }, - "execution_count": 87, + "execution_count": 86, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "min(max([Pwin(A, B), A, B] for A in cutoffs)\n", + "min(max(Pwin_summary(A, B) for A in cutoffs)\n", " for B in cutoffs)" ] }, @@ -3292,9 +3147,9 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "In both cases, the rational choice for both players in a cutoff of 0.61803, which corresponds to the \"saddle point\" in the middle of the plot. This is a *stable equilibrium*; consider fixing *B* = 0.61803, and notice that if *A* changes to any other value, we slip off the saddle to the right or left, resulting in a worse win probability for **A**. Similarly, if we fix *A* = 0.61803, then if *B* changes to another value, we ride up the saddle to a higher win percentage for **A**, which is worse for **B**. So neither player will want to move from the saddle point.\n", + "In both cases, the rational choice for both players in a cutoff of 0.618034, which corresponds to the \"saddle point\" in the middle of the plot. This is a *stable equilibrium*; consider fixing *B* = 0.618034, and notice that if *A* changes to any other value, we slip off the saddle to the right or left, resulting in a worse win probability for **A**. Similarly, if we fix *A* = 0.618034, then if *B* changes to another value, we ride up the saddle to a higher win percentage for **A**, which is worse for **B**. So neither player will want to move from the saddle point.\n", "\n", - "The moral for continuous spaces is the same as for discrete spaces: be careful about defining your space; count/measure carefully, and let your code take care of the rest." + "The moral for continuous spaces is the same as for discrete spaces: be careful about defining your sample space; measure carefully, and let your code take care of the rest." ] } ], @@ -3314,7 +3169,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.5.1" + "version": "3.6.0" } }, "nbformat": 4, From 6444487355bc26bdf3b60a9b60ed42933b436c8b Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Thu, 22 Mar 2018 00:09:47 -0700 Subject: [PATCH 32/90] xkcd-Name-Dominoes.ipynb --- ipynb/xkcd-Name-Dominoes.ipynb | 382 +++++++++++++++++++++++++++++++++ 1 file changed, 382 insertions(+) create mode 100644 ipynb/xkcd-Name-Dominoes.ipynb diff --git a/ipynb/xkcd-Name-Dominoes.ipynb b/ipynb/xkcd-Name-Dominoes.ipynb new file mode 100644 index 0000000..b1eadc2 --- /dev/null +++ b/ipynb/xkcd-Name-Dominoes.ipynb @@ -0,0 +1,382 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "
Peter Norvig
21 March 2018
\n", + "# `xkcd` Name Dominoes\n", + "\n", + "The March 21, 2018 `xkcd` comic number 1970 was [Name Dominoes](https://xkcd.com/1970/): domino tiles laid out in a legal array,\n", + "but with each tile having names of famous poeple rather than numbers. In regular [dominoes](https://en.wikipedia.org/wiki/Dominoes), each tile has two halves, and a tile can be legally placed only if one half is adjacent to another tile with the same number/name, and neither half is adjacent to any tile with a different number/name. (The very first tile in a game has no adjacent tiles, so it can be placed anywhere.) `xkcd 1970` makes two exceptions to the rules: (1) some tiles have three names, and matches are allowed against the middle name, and (2) approximate matches are allowed, like \"Amy\" and \"Aimee\".\n", + "\n", + "I will write a function to lay out dominoes in a random, legal array. I won't implement the two `xkcd` exceptions. I'll start with two key data structures:\n", + "\n", + "- **`Board(n)`**: Creates an [n × n] 2-dimensional array of locations; each location holds as a value one half of a tile, or it can be `empty`, or it can be a `border`, meaning nothing can be placed there.\n", + "- **`tiles(text)`**: a function to create a list of tiles, each of which is a 2-element list, like `['a', 'b']`, indicating the two halves. The input is a string, consisting of space-separated tiles, where the two halves of the tile are separated by a `|` character.\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "empty = ' '\n", + "border = '--'\n", + "\n", + "class Board(list):\n", + " \"A board is a 2d array of values.\"\n", + " \n", + " def __init__(self, n): \n", + " \"Initialize an [n × n] array of `empty`, surrounded by `off`\"\n", + " top = bot = [border] * (n + 2)\n", + " line = [border] + ([empty] * n) + [border]\n", + " self.extend([top] + [list(line) for _ in range(n)] + [bot])\n", + " \n", + " def get(self, loc): return self[loc[1]][loc[0]]\n", + " \n", + " def put(self, loc, value): self[loc[1]][loc[0]] = value\n", + " \n", + "def tiles(text):\n", + " \"tiles('a|b b|c') => [['a', 'b'], ['b', 'c']\"\n", + " return [tile.split('|') for tile in text.split()]\n", + "\n", + "\n", + "names1 = tiles('Bo|Ja Ja|Ry Ja|Po Ry|Ke Gr|Ke Gr|Ho Bo|Po Ry|Ja')" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[['--', '--', '--', '--', '--', '--'],\n", + " ['--', ' ', ' ', ' ', ' ', '--'],\n", + " ['--', ' ', ' ', ' ', ' ', '--'],\n", + " ['--', ' ', ' ', ' ', ' ', '--'],\n", + " ['--', ' ', ' ', ' ', ' ', '--'],\n", + " ['--', '--', '--', '--', '--', '--']]" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "Board(4)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[['Bo', 'Ja'],\n", + " ['Ja', 'Ry'],\n", + " ['Ja', 'Po'],\n", + " ['Ry', 'Ke'],\n", + " ['Gr', 'Ke'],\n", + " ['Gr', 'Ho'],\n", + " ['Bo', 'Po'],\n", + " ['Ry', 'Ja']]" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "names1" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now I need a strategy to fill the board with tiles, legally. I will randomly place dominoes one at a time, and I will *not* consider removing a tile from the board and backtracking; this is a greedy search. Some more concepts:\n", + "\n", + "- **`frontier`**: I'll maintain a *frontier*, a set of locations that are adjacent to tiles on the board, and thus are candidates for placing new tiles.\n", + "- **`dominoes(tiles)`**: places a random tile for the first tile, then repeatedly calls `place1` to legally place an additional tile, stopping when either there is no `frontier` left (meaning no place to put a tile) or no `tiles` left to place.\n", + "- **`place1(tiles, board, frontier)`**: find a location in the frontier, such that some tile can legally put one of its halves there, and the other half on an adjacent location; when found, `put` the tile there, and remove it from `tiles`.\n", + "- **`legal(value, loc, board)`**: a value can be placed in a location if the location is empty, and no neighboring location has a different value (but it is ok if a neighbor is empty or is a border).\n", + "- **`neighbors(loc)`**: returns the four neighbors of a location.\n", + "- **`put(board, loc0, loc1, tile, frontier)`**: places a tile on the board, it accomplishes this by making two calls to the board's `put` method, one for each half of the tile. The `put` function also updates the `frontier` to say that the just-covered locations are no longer in the frontier, but the empty neighbors of the tile are.\n", + "- **`shuffle(sequence)`**: used to randomize lists; calls `random.shuffle` and returns the result." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[['--', '--', '--', '--', '--', '--', '--', '--'],\n", + " ['--', ' ', 'Po', 'Ja', 'Ja', 'Ry', ' ', '--'],\n", + " ['--', ' ', 'Po', ' ', ' ', 'Ry', 'Ke', '--'],\n", + " ['--', ' ', 'Bo', 'Bo', ' ', ' ', 'Ke', '--'],\n", + " ['--', ' ', ' ', 'Ja', ' ', ' ', 'Gr', '--'],\n", + " ['--', ' ', ' ', 'Ja', 'Ry', ' ', 'Gr', '--'],\n", + " ['--', ' ', ' ', ' ', ' ', ' ', 'Ho', '--'],\n", + " ['--', '--', '--', '--', '--', '--', '--', '--']]" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import random\n", + "\n", + "def dominoes(tiles, n=6):\n", + " \"Place as many tiles on board as possible, legally and randomly.\"\n", + " tiles = shuffle(list(tiles))\n", + " board = Board(n)\n", + " frontier = set()\n", + " m = n // 2\n", + " put(board, (m, m), (m, m + 1), tiles.pop(), frontier) # Place first tile\n", + " while tiles and frontier:\n", + " place1(tiles, board, frontier)\n", + " return board\n", + " \n", + "def place1(tiles, board, frontier):\n", + " \"Randomly place one tile on board, on some frontier location and an adjacent square.\"\n", + " for loc0 in shuffle(frontier):\n", + " frontier.discard(loc0)\n", + " for tile in shuffle(tiles):\n", + " for (v, w) in [tile, tile[::-1]]:\n", + " if legal(v, loc0, board):\n", + " for loc1 in shuffle(neighbors(loc0)):\n", + " if legal(w, loc1, board):\n", + " put(board, loc0, loc1, [v, w], frontier)\n", + " tiles.remove(tile)\n", + " return \n", + " \n", + "def legal(value, loc, board):\n", + " \"Is it legal to place this value on this location on board?\"\n", + " return (board.get(loc) is empty and\n", + " all(board.get(nbr) in (empty, border, value) \n", + " for nbr in neighbors(loc)))\n", + "\n", + "def neighbors(loc):\n", + " \"Neighbors of this location.\"\n", + " x, y = loc\n", + " return ((x, y+1), (x, y-1), (x+1, y), (x-1, y)) \n", + "\n", + "def put(board, loc0, loc1, tile, frontier): \n", + " \"Place the tile across the two locations, and update frontier.\"\n", + " board.put(loc0, tile[0])\n", + " board.put(loc1, tile[1])\n", + " frontier -= {loc0, loc1}\n", + " frontier |= {loc for loc in neighbors(loc0) + neighbors(loc1)\n", + " if board.get(loc) is empty}\n", + " \n", + "def shuffle(seq):\n", + " \"Return seq as a shuffled list.\"\n", + " if not isinstance(seq, list): seq = list(seq)\n", + " random.shuffle(seq)\n", + " return seq\n", + " \n", + "dominoes(names1)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Pretty Output\n", + "\n", + "There are two problems with this output. One, it is ugly. Two, I can't easily tell where each domino is: when three names come together, which of the outside ones go with the middle one? To fix those two problems I will:\n", + "\n", + "- Use `matplotlib` to plot a less-ugly display, by defining `plot_board(board)`.\n", + "- Modify the `Board` class and the `put` function so that the board maintains a list of `boxes` that surround each tile once it is placed on the board." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "%matplotlib inline\n", + "import matplotlib.pyplot as plt\n", + "\n", + "def plot_board(board, size=6):\n", + " plt.figure(figsize=(size, size))\n", + " plt.axis('off') \n", + " plt.axis('equal')\n", + " for (x0, y0, x1, y1) in board.boxes:\n", + " plt.plot([x0, x1, x1, x0, x0], \n", + " [y0, y0, y1, y1, y0], 'k-')\n", + " for (y, row) in enumerate(board):\n", + " for (x, val) in enumerate(row):\n", + " if val is not border:\n", + " plt.text(x + 0.5, y + 0.3, val, ha='center', fontsize=9)\n", + " \n", + "class Board(list):\n", + " \"A board is a 2d array of values.\"\n", + " \n", + " def __init__(self, n): \n", + " \"Initialize an [n × n] array of `empty`, surrounded by `off`\"\n", + " top = bot = [border] * (n + 2)\n", + " line = [border] + ([empty] * n) + [border]\n", + " self.extend([top] + [list(line) for _ in range(n)] + [bot])\n", + " self.boxes = []\n", + " \n", + " def get(self, loc): return self[loc[1]][loc[0]]\n", + " \n", + " def put(self, loc, value): self[loc[1]][loc[0]] = value\n", + " \n", + " \n", + "def put(board, loc0, loc1, tile, frontier): \n", + " \"Place the tile across the two locations, and update frontier.\"\n", + " board.put(loc0, tile[0])\n", + " board.put(loc1, tile[1])\n", + " frontier -= {loc0, loc1}\n", + " frontier |= {loc for loc in neighbors(loc0) + neighbors(loc1)\n", + " if board.get(loc) is empty}\n", + " (x0, y0), (x1, y1) = loc0, loc1\n", + " board.boxes.append((min(x0, x1), min(y0, y1), max(x0, x1) + 1, max(y0, y1) + 1))" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_board(dominoes(names1))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Scaling Up Names\n", + "\n", + "Now let's try with more tiles, with names taken (mostly) from `xkcd 1970`.\n", + "\n", + "I could modify the program to back up if it got stuck before placing all the tiles, but instead I'll just add a new function, `best_dominoes(tiles, repeat=R)` that calls `dominoes` R times, and returns (and optionally prints) the\n", + "board that has placed the most tiles (which we can measure with `len(board.boxes)`)." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "names2 = tiles(\n", + " 'The|Rock Chris|Rock Rock|Hudson Chris|Isaac Isaac|Newton Olivia|Newton Isaac|Hayes '\n", + " 'Shawn|Hayes Wallace|Shawn Charles|Wallace George|Wallace Charles|Manson Ray|Charles '\n", + " 'Rachel|Ray Ray|Allen Tim|Allen Lily|Allen Tim|Cook James-Earl|Ray James-Earl|Jones '\n", + " 'Man|Ray Bat|Man Super|Man Tim|Howard Ron|Howard Ron|Paul Paul|Allen Rand|Paul Ayn|Rand '\n", + " 'Paul|Ryan Jack|Ryan Debby|Ryan Paul|Simon Carly|Simon John|Kelly Megyn|Kelly John|Henry '\n", + " 'Grace|Kelly Grace|Jones Grace|Hopper Jack|Ma Ma|Bell Yo-Yo|Ma Jack|Ruby Jack|Russell '\n", + " 'Charles|Parker Marilyn|Manson Marilyn|Monroe James|Monroe George|Bush George|Clinton Bill|Clinton '\n", + " 'Jack|White Meg|Ryan Meg|White Barry|White Walter|White Betty|White Betty|Ford Henry|Ford Harrison|Ford '\n", + " 'Tommy|John John|Irving John|Kerry Kerry|Washington Jimmy|John John|Adams Amy|Adams Amy|Man '\n", + " 'Benjamin|Harrison Benjamin|Franklin Aretha|Franklin Franklin|Graham James|Garfield Garfield| '\n", + " 'Kristen|Bell Kristen|Stewart Martha|Stewart Martha|Washington Wsshington|Irving John|Irving '\n", + " 'Jimmy|Buffett Jimmy|Jones Warren|Buffett Elizabeth|Warren '\n", + " 'Kevin|Bacon Kevin|Kline Kevin|Love Kevin|Smith Kevin|Costner Will|Smith Tommy|Lee Robert-E|Lee '\n", + " 'John|Wayne Wayne|Newton Wayne|Knight Wayne|Howard Wayne|Brady Tommy|Brady James|Brady')\n", + "\n", + "def best_dominoes(tiles, n=20, size=16, verbose=True, repeat=300):\n", + " board = max((dominoes(tiles, n) for _ in range(repeat)), \n", + " key=lambda board: len(board.boxes))\n", + " if verbose:\n", + " print(len(board.boxes), '/', len(tiles), 'tiles placed')\n", + " plot_board(board, size)\n", + " return board" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "84 / 100 tiles placed\n" + ] + }, + { + "data": { + "image/png": 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U4Mkzh64zcydAkiuBpwC/Ar5TVQ8kuQm4oap+C/w2yeyB5a9plzcBGbi+Xbt+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\nh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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "best_dominoes(names2);" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.0" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} From 7db423307eaccd6012319556f16a28b01ffb4e8d Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Thu, 22 Mar 2018 00:13:28 -0700 Subject: [PATCH 33/90] Update README.md --- README.md | 1 + 1 file changed, 1 insertion(+) diff --git a/README.md b/README.md index fd10c62..00dc3d9 100644 --- a/README.md +++ b/README.md @@ -34,6 +34,7 @@ Some are in Jupyter (IPython) notebooks, some in `.py` files. You can view the f |Word Games| |---| +|[xkcd 1970: Name Dominoes](https://github.com/norvig/pytudes/blob/master/ipynb/xkcd-Name-Dominoes.ipynb)
*Lay out dominoes legally; the dominoes have people names, not numbers.*| |[Ghost](https://github.com/norvig/pytudes/blob/master/ipynb/Ghost.ipynb)
*The word game Ghost (add letters, try to avoid making a word).*| |[World's Longest Palindrome](https://github.com/norvig/pytudes/blob/master/ipynb/pal3.ipynb)
*Searching for a long Panama-style palindrome, this time letter-by-letter.*| |[Refactoring a Crossword Game Program](https://github.com/norvig/pytudes/blob/master/ipynb/Scrabble.ipynb)
*Refactoring the Scrabble / Word with Friends game from Udacity 212.*| From 06e7a9f520783480305f00ee8a6b322a2e69c1fd Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Thu, 22 Mar 2018 10:59:18 -0700 Subject: [PATCH 34/90] xkcd-Name-Dominoes.ipynb --- ipynb/xkcd-Name-Dominoes.ipynb | 241 +++++++++++++++++++-------------- 1 file changed, 136 insertions(+), 105 deletions(-) diff --git a/ipynb/xkcd-Name-Dominoes.ipynb b/ipynb/xkcd-Name-Dominoes.ipynb index b1eadc2..13054d4 100644 --- a/ipynb/xkcd-Name-Dominoes.ipynb +++ b/ipynb/xkcd-Name-Dominoes.ipynb @@ -8,13 +8,12 @@ "# `xkcd` Name Dominoes\n", "\n", "The March 21, 2018 `xkcd` comic number 1970 was [Name Dominoes](https://xkcd.com/1970/): domino tiles laid out in a legal array,\n", - "but with each tile having names of famous poeple rather than numbers. In regular [dominoes](https://en.wikipedia.org/wiki/Dominoes), each tile has two halves, and a tile can be legally placed only if one half is adjacent to another tile with the same number/name, and neither half is adjacent to any tile with a different number/name. (The very first tile in a game has no adjacent tiles, so it can be placed anywhere.) `xkcd 1970` makes two exceptions to the rules: (1) some tiles have three names, and matches are allowed against the middle name, and (2) approximate matches are allowed, like \"Amy\" and \"Aimee\".\n", + "but with each tile having names of famous poeple rather than numbers. In regular [dominoes](https://en.wikipedia.org/wiki/Dominoes), each tile has two halves, and a tile can be legally placed only if one half is adjacent to another tile with the same number/name, and neither half is adjacent to any tile with a different number/name. (The very first tile in a game has no adjacent tiles, so it can be placed anywhere.) `xkcd 1970` also allows some tiles to three names, with matches allowed against the middle name; I won't allow that.\n", "\n", - "I will write a function to lay out dominoes in a random, legal array. I won't implement the two `xkcd` exceptions. I'll start with two key data structures:\n", + "I will write a function to lay out dominoes in a random, legal array. I'll start with two key data structures:\n", "\n", "- **`Board(n)`**: Creates an [n × n] 2-dimensional array of locations; each location holds as a value one half of a tile, or it can be `empty`, or it can be a `border`, meaning nothing can be placed there.\n", - "- **`tiles(text)`**: a function to create a list of tiles, each of which is a 2-element list, like `['a', 'b']`, indicating the two halves. The input is a string, consisting of space-separated tiles, where the two halves of the tile are separated by a `|` character.\n", - "\n" + "- **`tiles(text)`**: a function to create a list of tiles, each of which is a 2-element list, like `['a', 'b']`, indicating the two halves. The input is a string, consisting of comma-and/or-space-separated tiles, where the two halves of the tile are separated by a `|` character." ] }, { @@ -39,14 +38,7 @@ " \n", " def get(self, loc): return self[loc[1]][loc[0]]\n", " \n", - " def put(self, loc, value): self[loc[1]][loc[0]] = value\n", - " \n", - "def tiles(text):\n", - " \"tiles('a|b b|c') => [['a', 'b'], ['b', 'c']\"\n", - " return [tile.split('|') for tile in text.split()]\n", - "\n", - "\n", - "names1 = tiles('Bo|Ja Ja|Ry Ja|Po Ry|Ke Gr|Ke Gr|Ho Bo|Po Ry|Ja')" + " def put(self, loc, value): self[loc[1]][loc[0]] = value" ] }, { @@ -80,44 +72,17 @@ "cell_type": "code", "execution_count": 3, "metadata": { - "collapsed": false + "collapsed": true }, - "outputs": [ - { - "data": { - "text/plain": [ - "[['Bo', 'Ja'],\n", - " ['Ja', 'Ry'],\n", - " ['Ja', 'Po'],\n", - " ['Ry', 'Ke'],\n", - " ['Gr', 'Ke'],\n", - " ['Gr', 'Ho'],\n", - " ['Bo', 'Po'],\n", - " ['Ry', 'Ja']]" - ] - }, - "execution_count": 3, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ - "names1" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now I need a strategy to fill the board with tiles, legally. I will randomly place dominoes one at a time, and I will *not* consider removing a tile from the board and backtracking; this is a greedy search. Some more concepts:\n", + "def tiles(text):\n", + " \"tiles('Bo|Ja, Ja|Po') => [['Bo', 'Ja'], ['Ja', 'Po']\"\n", + " return [tile.split('|') for tile in split(text)]\n", "\n", - "- **`frontier`**: I'll maintain a *frontier*, a set of locations that are adjacent to tiles on the board, and thus are candidates for placing new tiles.\n", - "- **`dominoes(tiles)`**: places a random tile for the first tile, then repeatedly calls `place1` to legally place an additional tile, stopping when either there is no `frontier` left (meaning no place to put a tile) or no `tiles` left to place.\n", - "- **`place1(tiles, board, frontier)`**: find a location in the frontier, such that some tile can legally put one of its halves there, and the other half on an adjacent location; when found, `put` the tile there, and remove it from `tiles`.\n", - "- **`legal(value, loc, board)`**: a value can be placed in a location if the location is empty, and no neighboring location has a different value (but it is ok if a neighbor is empty or is a border).\n", - "- **`neighbors(loc)`**: returns the four neighbors of a location.\n", - "- **`put(board, loc0, loc1, tile, frontier)`**: places a tile on the board, it accomplishes this by making two calls to the board's `put` method, one for each half of the tile. The `put` function also updates the `frontier` to say that the just-covered locations are no longer in the frontier, but the empty neighbors of the tile are.\n", - "- **`shuffle(sequence)`**: used to randomize lists; calls `random.shuffle` and returns the result." + "def split(text): return text.replace(',', ' ').split()\n", + "\n", + "tiles1 = tiles('Bo|Ja, Ja|Po, Ja|Ry, Ry|Ke, Gr|Ke, Gr|Ho')" ] }, { @@ -130,14 +95,12 @@ { "data": { "text/plain": [ - "[['--', '--', '--', '--', '--', '--', '--', '--'],\n", - " ['--', ' ', 'Po', 'Ja', 'Ja', 'Ry', ' ', '--'],\n", - " ['--', ' ', 'Po', ' ', ' ', 'Ry', 'Ke', '--'],\n", - " ['--', ' ', 'Bo', 'Bo', ' ', ' ', 'Ke', '--'],\n", - " ['--', ' ', ' ', 'Ja', ' ', ' ', 'Gr', '--'],\n", - " ['--', ' ', ' ', 'Ja', 'Ry', ' ', 'Gr', '--'],\n", - " ['--', ' ', ' ', ' ', ' ', ' ', 'Ho', '--'],\n", - " ['--', '--', '--', '--', '--', '--', '--', '--']]" + "[['Bo', 'Ja'],\n", + " ['Ja', 'Po'],\n", + " ['Ja', 'Ry'],\n", + " ['Ry', 'Ke'],\n", + " ['Gr', 'Ke'],\n", + " ['Gr', 'Ho']]" ] }, "execution_count": 4, @@ -145,10 +108,54 @@ "output_type": "execute_result" } ], + "source": [ + "tiles1" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now I need a strategy to fill the board with tiles, legally. I will randomly place dominoes one at a time, and I will *not* consider removing a tile from the board and backtracking; this is a greedy search. Some more concepts:\n", + "\n", + "- **`frontier`**: I'll maintain a *frontier*, a set of locations that are adjacent to tiles on the board, and thus are candidates for placing new tiles.\n", + "- **`dominoes(tiles)`**: places a random tile for the first tile, then repeatedly calls `place1` to legally place an additional tile, stopping when either there is no `frontier` left (meaning no place to put a tile) or no `tiles` left to place.\n", + "- **`place1(tiles, board, frontier)`**: find a location in the frontier, such that some tile can legally put one of its halves there, and the other half on an adjacent location; when found, `put` the tile there, and remove it from `tiles`.\n", + "- **`legal(value, loc, board)`**: a value can be placed if the location is empty, and the value matches all the neighboring location values.\n", + "- **`legal_match(value, nbrval)`**: a value matches if the neighbor is empty or a border, or is equal to the value.\n", + "- **`neighbors(loc)`**: returns the four neighbors of a location.\n", + "- **`put(board, loc0, loc1, tile, frontier)`**: places a tile on the board, it accomplishes this by making two calls to the board's `put` method, one for each half of the tile. The `put` function also updates the `frontier` to say that the just-covered locations are no longer in the frontier, but the empty neighbors of the tile are.\n", + "- **`shuffle(sequence)`**: used to randomize lists; calls `random.shuffle` and returns the result." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[['--', '--', '--', '--', '--', '--', '--'],\n", + " ['--', ' ', ' ', 'Ja', 'Ja', 'Bo', '--'],\n", + " ['--', ' ', 'Ry', 'Ry', ' ', ' ', '--'],\n", + " ['--', ' ', 'Ke', ' ', ' ', ' ', '--'],\n", + " ['--', ' ', 'Ke', 'Gr', ' ', ' ', '--'],\n", + " ['--', ' ', ' ', 'Gr', 'Ho', ' ', '--'],\n", + " ['--', '--', '--', '--', '--', '--', '--']]" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "import random\n", "\n", - "def dominoes(tiles, n=6):\n", + "def dominoes(tiles, n=24):\n", " \"Place as many tiles on board as possible, legally and randomly.\"\n", " tiles = shuffle(list(tiles))\n", " board = Board(n)\n", @@ -175,9 +182,13 @@ "def legal(value, loc, board):\n", " \"Is it legal to place this value on this location on board?\"\n", " return (board.get(loc) is empty and\n", - " all(board.get(nbr) in (empty, border, value) \n", + " all(legal_match(value, board.get(nbr)) \n", " for nbr in neighbors(loc)))\n", "\n", + "def legal_match(value, nbrval):\n", + " \"Does this value match the neighbor's value?\"\n", + " return nbrval in (empty, border, value)\n", + " \n", "def neighbors(loc):\n", " \"Neighbors of this location.\"\n", " x, y = loc\n", @@ -197,7 +208,7 @@ " random.shuffle(seq)\n", " return seq\n", " \n", - "dominoes(names1)" + "dominoes(tiles1, 5)" ] }, { @@ -214,7 +225,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 6, "metadata": { "collapsed": true }, @@ -223,8 +234,8 @@ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "\n", - "def plot_board(board, size=6):\n", - " plt.figure(figsize=(size, size))\n", + "def plot_board(board, figsize=6):\n", + " plt.figure(figsize=(figsize, figsize))\n", " plt.axis('off') \n", " plt.axis('equal')\n", " for (x0, y0, x1, y1) in board.boxes:\n", @@ -263,16 +274,16 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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+ "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -280,7 +291,7 @@ } ], "source": [ - "plot_board(dominoes(names1))" + "plot_board(dominoes(tiles1))" ] }, { @@ -289,43 +300,10 @@ "source": [ "# Scaling Up Names\n", "\n", - "Now let's try with more tiles, with names taken (mostly) from `xkcd 1970`.\n", + "Now let's try with more tiles, with names taken (mostly) from `xkcd 1970`, and with approximate matches, like \"Amy\" matching \"Aimee\".\n", "\n", - "I could modify the program to back up if it got stuck before placing all the tiles, but instead I'll just add a new function, `best_dominoes(tiles, repeat=R)` that calls `dominoes` R times, and returns (and optionally prints) the\n", - "board that has placed the most tiles (which we can measure with `len(board.boxes)`)." - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "names2 = tiles(\n", - " 'The|Rock Chris|Rock Rock|Hudson Chris|Isaac Isaac|Newton Olivia|Newton Isaac|Hayes '\n", - " 'Shawn|Hayes Wallace|Shawn Charles|Wallace George|Wallace Charles|Manson Ray|Charles '\n", - " 'Rachel|Ray Ray|Allen Tim|Allen Lily|Allen Tim|Cook James-Earl|Ray James-Earl|Jones '\n", - " 'Man|Ray Bat|Man Super|Man Tim|Howard Ron|Howard Ron|Paul Paul|Allen Rand|Paul Ayn|Rand '\n", - " 'Paul|Ryan Jack|Ryan Debby|Ryan Paul|Simon Carly|Simon John|Kelly Megyn|Kelly John|Henry '\n", - " 'Grace|Kelly Grace|Jones Grace|Hopper Jack|Ma Ma|Bell Yo-Yo|Ma Jack|Ruby Jack|Russell '\n", - " 'Charles|Parker Marilyn|Manson Marilyn|Monroe James|Monroe George|Bush George|Clinton Bill|Clinton '\n", - " 'Jack|White Meg|Ryan Meg|White Barry|White Walter|White Betty|White Betty|Ford Henry|Ford Harrison|Ford '\n", - " 'Tommy|John John|Irving John|Kerry Kerry|Washington Jimmy|John John|Adams Amy|Adams Amy|Man '\n", - " 'Benjamin|Harrison Benjamin|Franklin Aretha|Franklin Franklin|Graham James|Garfield Garfield| '\n", - " 'Kristen|Bell Kristen|Stewart Martha|Stewart Martha|Washington Wsshington|Irving John|Irving '\n", - " 'Jimmy|Buffett Jimmy|Jones Warren|Buffett Elizabeth|Warren '\n", - " 'Kevin|Bacon Kevin|Kline Kevin|Love Kevin|Smith Kevin|Costner Will|Smith Tommy|Lee Robert-E|Lee '\n", - " 'John|Wayne Wayne|Newton Wayne|Knight Wayne|Howard Wayne|Brady Tommy|Brady James|Brady')\n", - "\n", - "def best_dominoes(tiles, n=20, size=16, verbose=True, repeat=300):\n", - " board = max((dominoes(tiles, n) for _ in range(repeat)), \n", - " key=lambda board: len(board.boxes))\n", - " if verbose:\n", - " print(len(board.boxes), '/', len(tiles), 'tiles placed')\n", - " plot_board(board, size)\n", - " return board" + "With many names, the program can get stuck before it has placed many tiles. I could modify the program to *back up* in this case, but it will be easier to just add a new function, `best_dominoes(tiles, repeat=R)` that calls `dominoes` R times, and returns (and optionally displays) the\n", + "board that has placed the most tiles out of those R boards (as measured by `len(board.boxes)`)." ] }, { @@ -334,19 +312,72 @@ "metadata": { "collapsed": false }, + "outputs": [], + "source": [ + "tiles2 = tiles(\"\"\"\n", + " The|Rock, Chris|Rock, Rock|Hudson, Chris|Isaac, Isaac|Newton, Olivia|Newton-John, Isaac|Hayes, \n", + " Sean|Hayes, Wallace|Shawn, Charles|Wallace, George|Wallace, Charles|Manson, Ray|Charles, \n", + " Rachel|Ray, Ray|Allen, Tim|Allen, Lily|Allen, Tim|Cook, James-Earl|Ray, James-Earl|Jones, \n", + " Man|Ray, Ray|Mann, Bat|Man, Super|Man, Tim|Howard, Ron|Howard, Ron|Paul, Paul|Allen, \n", + " Rand|Paul, Ayn|Rand, Paul|Ryan, Jack|Ryan, Debby|Ryan, Paul|Simon, Carly|Simon, John|Kelly, \n", + " Megyn|Kelly, John|Henry, Grace|Kelly, Grace|Jones, Grace|Hopper, Jack|Ma, Ma|Bell, Yo-Yo|Ma, \n", + " Jack|Ruby, Jack|Russell, Marilyn|Manson, Marilyn|Monroe, James|Monroe, George|Bush, \n", + " George|Clinton, Bill|Clinton, Jack|White, Meg|Ryan, Meg|White, Barry|White, Walter|White, \n", + " Betty|White, Charlie|Parker, Tommy|John, John|Kerry, Kerry|Washington, Jimmy|John, \n", + " John|Adams, Amy|Adams, Aimee|Man, Benjamin|Harrison, Benjamin|Franklin, Aretha|Franklin, \n", + " Franklin|Graham, James|Garfield, Garfield|, Kristen|Bell, Kristen|Stewart, Martha|Stewart, \n", + " Martha|Washington, Wsshington|Irving, John|Irving, Jimmy|Buffett, Jimmy|Jones, Warren|Buffett, \n", + " Elizabeth|Warren, Betty|Ford, Henry|Ford, Harrison|Ford, Kevin|Bacon, Kevin|Kline, Kevin|Love, \n", + " Kevin|Smith, Kevin|Costner, Will|Smith, Tommy|Lee, Robert-E|Lee, John|Wayne, Wayne|Newton, \n", + " Wayne|Knight, Wayne|Howard, Wayne|Brady, Tom|Brady, James|Brady, Cam|Newton, Cameron|Diaz,\n", + " James|Cameron, Etta|James, John|Oliver, John|Candy, John|Edward, John|Edwards, John|Lewis,\n", + " Huey|Lewis, Huey|Newton, Huey|Long, Long|John-Silver, Prince|, Prince|Harry, Harry|Potter,\n", + " Harry|Truman, Little|Prince, Stuart|Little, Little|Richard, Rich|Little, Chris|Pratt,\n", + " Chris|Evans, Bob|Evans, Tommy|Lee-Jones, Super|Grover\n", + " \"\"\")\n", + "\n", + "def synonyms(text): return [set(group.split('=')) for group in split(text)]\n", + "\n", + "match_groups = synonyms(\"\"\"\n", + " Charlie=Charles, Newton=Newton-John, Sean=Shawn, James=James-Earl=Jimmy, Man=Mann, Amy=Aimee,\n", + " Jack=John=John-Silver, Tom=Tommy, Will=William, Robert-E=Robert=Bob, Cam=Cameron, Oliver=Olivia,\n", + " Edward=Edwards, Rich=Richard, Lee=Lee-Jones, Jones=Lee-Jones\n", + " \"\"\")\n", + "\n", + "def legal_match(value, nbrval):\n", + " \"Does this value match the neighbor's value?\"\n", + " return (nbrval in (empty, border, value) or \n", + " any(value in group and nbrval in group\n", + " for group in match_groups))\n", + "\n", + "def best_dominoes(tiles, n=24, figsize=16, verbose=True, repeat=300):\n", + " board = max((dominoes(tiles, n) for _ in range(repeat)), \n", + " key=lambda board: len(board.boxes))\n", + " if verbose:\n", + " print(len(board.boxes), '/', len(tiles), 'tiles placed')\n", + " plot_board(board, figsize)\n", + " return board" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "84 / 100 tiles placed\n" + "110 / 126 tiles placed\n" ] }, { "data": { - "image/png": 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U4Mkzh64zcydAkiuBpwC/Ar5TVQ8kuQm4oap+C/w2yeyB5a9plzcBGbi+Xbt+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\nnwAAAABJRU5ErkJgg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Lxh1i3JIsBxj3thhAa8YQrXC/SGtXVRl3hqGYOF+9bkwvW0QlSZIkSb2yEJUk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MysUG6ImpmZmZmZWaHcEDUzMzMzM7NCuSFqZmZmZmZmhfLPt1hTko4ExpYdB1D7ceRnS40CdoOu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\nsMmgBjvJ5kk+leSbSc5Pskub9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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -354,7 +385,7 @@ } ], "source": [ - "best_dominoes(names2);" + "best_dominoes(tiles2);" ] } ], From d5b3f6128ec8e2bb9bd119a22be74bd1e964319c Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Thu, 22 Mar 2018 15:31:05 -0700 Subject: [PATCH 35/90] xkcd-Name-Dominoes.ipynb --- ipynb/xkcd-Name-Dominoes.ipynb | 531 +++++++++++++++++++++++++-------- 1 file changed, 407 insertions(+), 124 deletions(-) diff --git a/ipynb/xkcd-Name-Dominoes.ipynb b/ipynb/xkcd-Name-Dominoes.ipynb index 13054d4..dd348ac 100644 --- a/ipynb/xkcd-Name-Dominoes.ipynb +++ b/ipynb/xkcd-Name-Dominoes.ipynb @@ -5,15 +5,14 @@ "metadata": {}, "source": [ "
Peter Norvig
21 March 2018
\n", + "\n", "# `xkcd` Name Dominoes\n", "\n", "The March 21, 2018 `xkcd` comic number 1970 was [Name Dominoes](https://xkcd.com/1970/): domino tiles laid out in a legal array,\n", - "but with each tile having names of famous poeple rather than numbers. In regular [dominoes](https://en.wikipedia.org/wiki/Dominoes), each tile has two halves, and a tile can be legally placed only if one half is adjacent to another tile with the same number/name, and neither half is adjacent to any tile with a different number/name. (The very first tile in a game has no adjacent tiles, so it can be placed anywhere.) `xkcd 1970` also allows some tiles to three names, with matches allowed against the middle name; I won't allow that.\n", + "but with each tile having names of famous poeple rather than numbers. In regular [dominoes](https://en.wikipedia.org/wiki/Dominoes), each tile has two halves, and a tile can be legally placed only if one half is adjacent to another tile with the same number/name, and neither half is adjacent to any tile with a different number/name. (The very first tile in a game has no adjacent tiles, so it can be placed anywhere.) I will write a function to lay out dominoes in a random, legal array. I'll start with two key data structures:\n", "\n", - "I will write a function to lay out dominoes in a random, legal array. I'll start with two key data structures:\n", - "\n", - "- **`Board(n)`**: Creates an [n × n] 2-dimensional array of locations; each location holds as a value one half of a tile, or it can be `empty`, or it can be a `border`, meaning nothing can be placed there.\n", - "- **`tiles(text)`**: a function to create a list of tiles, each of which is a 2-element list, like `['a', 'b']`, indicating the two halves. The input is a string, consisting of comma-and/or-space-separated tiles, where the two halves of the tile are separated by a `|` character." + "- **`Tile`**: a tile is a 2-element tuple, like `('Tim', 'Cook')`, indicating the two halves.\n", + "- **`Board(n)`**: Creates an [n × n] 2-dimensional array of locations; each location holds as a value one half of a tile, or it can be `empty`, or it can be a `border`, meaning nothing can be placed there.\n" ] }, { @@ -27,6 +26,8 @@ "empty = ' '\n", "border = '--'\n", "\n", + "Tile = tuple\n", + "\n", "class Board(list):\n", " \"A board is a 2d array of values.\"\n", " \n", @@ -38,7 +39,9 @@ " \n", " def get(self, loc): return self[loc[1]][loc[0]]\n", " \n", - " def put(self, loc, value): self[loc[1]][loc[0]] = value" + " def put(self, loc, value): self[loc[1]][loc[0]] = value\n", + " \n", + "tiles1 = [('Bo', 'Ja'), ('Ja', 'Po'), ('Ja', 'Ry'), ('Ry', 'Ke'), ('Gr', 'Ke'), ('Gr', 'Ho')]" ] }, { @@ -68,50 +71,6 @@ "Board(4)" ] }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "def tiles(text):\n", - " \"tiles('Bo|Ja, Ja|Po') => [['Bo', 'Ja'], ['Ja', 'Po']\"\n", - " return [tile.split('|') for tile in split(text)]\n", - "\n", - "def split(text): return text.replace(',', ' ').split()\n", - "\n", - "tiles1 = tiles('Bo|Ja, Ja|Po, Ja|Ry, Ry|Ke, Gr|Ke, Gr|Ho')" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "[['Bo', 'Ja'],\n", - " ['Ja', 'Po'],\n", - " ['Ja', 'Ry'],\n", - " ['Ry', 'Ke'],\n", - " ['Gr', 'Ke'],\n", - " ['Gr', 'Ho']]" - ] - }, - "execution_count": 4, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "tiles1" - ] - }, { "cell_type": "markdown", "metadata": {}, @@ -130,7 +89,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 3, "metadata": { "collapsed": false }, @@ -139,15 +98,15 @@ "data": { "text/plain": [ "[['--', '--', '--', '--', '--', '--', '--'],\n", - " ['--', ' ', ' ', 'Ja', 'Ja', 'Bo', '--'],\n", - " ['--', ' ', 'Ry', 'Ry', ' ', ' ', '--'],\n", - " ['--', ' ', 'Ke', ' ', ' ', ' ', '--'],\n", - " ['--', ' ', 'Ke', 'Gr', ' ', ' ', '--'],\n", - " ['--', ' ', ' ', 'Gr', 'Ho', ' ', '--'],\n", + " ['--', 'Ho', ' ', 'Po', 'Ja', ' ', '--'],\n", + " ['--', 'Gr', 'Gr', ' ', 'Ja', 'Bo', '--'],\n", + " ['--', ' ', 'Ke', ' ', 'Ja', ' ', '--'],\n", + " ['--', ' ', 'Ke', 'Ry', 'Ry', ' ', '--'],\n", + " ['--', ' ', ' ', ' ', ' ', ' ', '--'],\n", " ['--', '--', '--', '--', '--', '--', '--']]" ] }, - "execution_count": 5, + "execution_count": 3, "metadata": {}, "output_type": "execute_result" } @@ -225,9 +184,9 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 4, "metadata": { - "collapsed": true + "collapsed": false }, "outputs": [], "source": [ @@ -244,7 +203,8 @@ " for (y, row) in enumerate(board):\n", " for (x, val) in enumerate(row):\n", " if val is not border:\n", - " plt.text(x + 0.5, y + 0.3, val, ha='center', fontsize=9)\n", + " plt.text(x + 0.5, y + 0.3, val.replace('-', ' '),\n", + " ha='center', fontsize=8)\n", " \n", "class Board(list):\n", " \"A board is a 2d array of values.\"\n", @@ -274,16 +234,16 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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+ "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -298,12 +258,379 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Scaling Up Names\n", + "# All the Names\n", "\n", - "Now let's try with more tiles, with names taken (mostly) from `xkcd 1970`, and with approximate matches, like \"Amy\" matching \"Aimee\".\n", + "Now let's try **all** the names from `xkcd 1970`, as reported \n", + "by [explainxkcd](http://www.explainxkcd.com/wiki/index.php/1970:_Name_Dominoes), with a few typo corrections:" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "270" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "def split_names(text):\n", + " \"For each line of text, create a Tile of ('First Name(s)', 'Lastname').\"\n", + " return [name.rpartition(' ')[0::2]\n", + " for name in text.strip().splitlines()]\n", + " \n", + "tiles1970 = split_names(\"\"\"\n", + "Christian Campbell\n", + "Neve Campbell\n", + "Joe McCarthy\n", + "Eugene McCarthy\n", + "Gene Vincent\n", + "Gene Kelly\n", + "Kate Hudson\n", + "Rock Hudson\n", + "Gordon Brown\n", + "James Brown\n", + "Jon Brown\n", + "John Howard\n", + "Columbo\n", + "Chris Columbus\n", + "Christopher Columbus\n", + "Naomi Campbell\n", + "Joseph Campbell\n", + "Joseph Smith\n", + "Frank Vincent\n", + "John Kelly\n", + "Katherine Johnson\n", + "The Rock\n", + "Chris Rock\n", + "Chris Isaac\n", + "James Newton Howard\n", + "John Wayne\n", + "Howard Stern\n", + "Howard Hunt\n", + "Chris Hughes\n", + "Naomi Watts\n", + "Naomi Klein\n", + "Kevin Kline\n", + "Francis Bacon\n", + "Francis Drake\n", + "Lyndon Johnson\n", + "Oscar the Grouch\n", + "Oscar Isaac\n", + "Isaac Hayes\n", + "Isaac Newton\n", + "Wayne Newton\n", + "Wayne Knight\n", + "Helen Hunt\n", + "Helen Hughes\n", + "James Watt\n", + "James Watt\n", + "Kevin Costner\n", + "Kevin Bacon\n", + "Kevin Love\n", + "Lisa Frank\n", + "Frank Drake\n", + "Drake\n", + "Oscar de la Renta\n", + "Oscar de la Hoya\n", + "Sean Hayes\n", + "Wallace Shawn\n", + "Wayne Howard\n", + "Wayne Brady\n", + "James Brady\n", + "Tom Brady\n", + "Helen Thomas\n", + "Tom Hanks\n", + "Hank Aaron\n", + "Aaron Carter\n", + "Stephen James\n", + "Will Smith\n", + "Kevin Smith\n", + "Kein James\n", + "Garfield\n", + "James Garfield\n", + "Warren Buffett\n", + "Jimmy Buffett\n", + "Warren Beatty\n", + "Elizabeth Warren\n", + "Earl Warren\n", + "Eliabeth Kolbert\n", + "Stephen Colbert\n", + "George Wallace\n", + "Charles Wallace\n", + "James Monroe\n", + "Marilyn Monroe\n", + "Hank Williams\n", + "William C. Williams\n", + "Steve Harvey\n", + "Domino Harvey\n", + "Harvey Milk\n", + "James Saint James\n", + "Etta James\n", + "Jim Jones\n", + "James Earl Jones\n", + "Charlie Parker\n", + "Ray Parker\n", + "Ray Charles\n", + "Charles Manson\n", + "Marilyn Manson\n", + "Robin Williams\n", + "Billy D. Williams\n", + "Will Wright\n", + "Fats Domino\n", + "Bill Clinton\n", + "Jimmy John\n", + "Tom Jones\n", + "Tommy John\n", + "Quincy Jones\n", + "James Earl Ray\n", + "Man Ray\n", + "Rachel Ray\n", + "Ray Allen\n", + "Tim Allen\n", + "Tim Cook\n", + "Tim Howard\n", + "Robin Wright\n", + "Wilbur Wright\n", + "Fatty Arbuckle\n", + "Fat Joe\n", + "George Clinton\n", + "John Kerry\n", + "Kerry Washington\n", + "John Irving\n", + "John Quincy Adams\n", + "John Adams\n", + "Amy Adams\n", + "Aimee Mann\n", + "Super Man\n", + "Bat Man\n", + "Ayn Rand\n", + "Lily Allen\n", + "Paul Allen\n", + "Ron Howard\n", + "Howard Hughes\n", + "Joe Kennedy\n", + "George Bush\n", + "George Wasington\n", + "Wasington Irving\n", + "Martha Wasington\n", + "Ma Rainey\n", + "Jack Ma\n", + "Super Grover\n", + "Jack Black\n", + "Rand Paul\n", + "Paul Ryan\n", + "Paul Simon\n", + "Ron Paul\n", + "John Hughes\n", + "Langston Hughes\n", + "John F. Kennedy\n", + "Little Richard\n", + "Rich Little\n", + "Martha Stewart\n", + "Yo Yo Ma\n", + "Ma Bell\n", + "Grover Cleveland Alexander\n", + "Grover Cleveland\n", + "Jack White\n", + "Jack Ryan\n", + "Debby Ryan\n", + "Carly Simon\n", + "Carly Hughes\n", + "Charles Evans Hughes\n", + "John Williams\n", + "Little John\n", + "Stuart Little\n", + "Potter Stewart\n", + "Kristen Stewart\n", + "Kristen Bell\n", + "Kristen Hooks\n", + "Alexander Graham Bell\n", + "Franklin Graham\n", + "Lloyd Alexander\n", + "Meg White\n", + "Meg Ryan\n", + "Debbie Reynolds\n", + "John Reynolds\n", + "Carly Fiorina\n", + "Grace Lee Boggs\n", + "Wade Boggs\n", + "William Safire\n", + "Prince William\n", + "Little Prince\n", + "Harry Potter\n", + "James Potter\n", + "James Hook\n", + "James Dean\n", + "Aretha Franklin\n", + "Frank Lloyd Wright\n", + "Barry White\n", + "Walter White\n", + "Walt Whitman\n", + "John Kelly\n", + "Grace Lee\n", + "Nancy Grace\n", + "Garnet\n", + "Prince\n", + "Prince Felder\n", + "Prince Harry\n", + "Harry Styles\n", + "John Dean\n", + "Benjamin Franklin\n", + "Harrold Lloyd\n", + "Harrold Ford\n", + "Betty White\n", + "Meg Whitman\n", + "Christine Todd Whitman\n", + "Megyn Kelly\n", + "Grace Kelly\n", + "Grace Jones\n", + "Jack Nicholson\n", + "Jack Ruby\n", + "Jack Russel\n", + "Harry Fielder\n", + "Harry Trueman\n", + "Harry Jon Benjamin\n", + "John Edward\n", + "Benjamin Harrison\n", + "Harrison Ford\n", + "Henry Ford\n", + "Betty Ford\n", + "Betty Friedan\n", + "Chris Christie\n", + "Chris Pratt\n", + "Maggie Grace\n", + "Grace Hopper\n", + "Russel Crowe\n", + "Russ Smith\n", + "John Smith\n", + "Justin Long\n", + "John Bel Edwards\n", + "John Candy\n", + "John Henry\n", + "Henry James\n", + "Bill James\n", + "Chris Cooper\n", + "Chris Hemsworth\n", + "Chris Evans\n", + "Topher Grace\n", + "Van Morrison\n", + "Sheryl Crow\n", + "Sheryl Sandberg\n", + "Cameron Crow\n", + "Long John Silver\n", + "Olivia Newton John\n", + "Huey long\n", + "John Edwards\n", + "Candy Crowley\n", + "Aleister Crowley\n", + "James Fenimore Cooper\n", + "James Cook\n", + "Robert Frost\n", + "Bob Evans\n", + "Evan Tayler Jones\n", + "James Cameron\n", + "Cam Newton\n", + "Cameron Diaz\n", + "Huey Newton\n", + "Huey Lewis\n", + "John Lewis\n", + "Jenny Lewis\n", + "Ryan Lewis\n", + "Burt Reynolds\n", + "Alistair Cooke\n", + "Alistair Cookie\n", + "Cokie Roberts\n", + "John Roberts\n", + "Robert Johnson\n", + "Robert E. Lee\n", + "Tommy Lee\n", + "Tommy Lee Jones\n", + "Etta James\n", + "John Oliver\n", + "Ryan Reynolds\n", + "Alastair Reynolds\n", + "\"\"\")\n", "\n", - "With many names, the program can get stuck before it has placed many tiles. I could modify the program to *back up* in this case, but it will be easier to just add a new function, `best_dominoes(tiles, repeat=R)` that calls `dominoes` R times, and returns (and optionally displays) the\n", - "board that has placed the most tiles out of those R boards (as measured by `len(board.boxes)`)." + "len(tiles1970)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Approximate and Partial Matches\n", + "\n", + "The halves of two tiles match if they are an exact match, like \"Amy\" and \"Amy\", but also if they are an **approximate match**, like \"Amy\" and \"Aimee\". You can manually allow for this with:\n", + "\n", + " synsets = synonyms(\"Amy=Aimee, ...\")\n", + "\n", + "Another issue is a **partial match**: \"John Smith\" is allowed to match \"Long John Silver\"\n", + "because the first name \"John\" is a piece of the first name \"Long John\". allowed to match. If you pass in a list of tiles as a second argument to `synsets`, then all the pieces of a first name (if it has more than one piece) will be (individually) made synonyms of the whole first name.\n", + "\n", + "I also update `legal_match` to consult the `synsets` global variable for an approximate or partial match, and to handle a special case: a single names like \"Prince\" gets represented as the tile `('', 'Prince')`, but we don't want the empty first name of this tile to match the empty first name of \"Drake\", so we disallow an empty-to-empty match." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "import collections\n", + "\n", + "Synset = set\n", + "\n", + "def synonyms(text, tiles=()): \n", + " \"synonyms('a=A, b=B') => dict(a={'a', 'A'}, A={'a', 'A'}, b={'b', 'B'}, B={'b', 'B'}\"\n", + " synsets = collections.defaultdict(set)\n", + " # Process `text`\n", + " for text1 in text.split(','):\n", + " synset = Synset(text1.strip().split('='))\n", + " for s in synset:\n", + " synsets[s] |= synset\n", + " # Process `tiles`\n", + " for (first, last) in tiles:\n", + " if ' ' in first:\n", + " for piece in first.split():\n", + " synsets[piece].add(first)\n", + " synsets[first].add(piece)\n", + " return synsets\n", + "\n", + "synsets = synonyms(\"\"\"\n", + " Amy=Aimee, Cook=Cooke=Cookie=Cokie, Alastair=Alistair, Columbo=Columbus, \n", + " Safire=Sapphire=Garnet, Garnet=Ruby, Charlie=Charles, Sean=Shawn, \n", + " Jimmy=James, Man=Mann, Jack=John, Tom=Tommy, Will=William=Williams, \n", + " Robert=Roberts=Bob, Cam=Cameron, Oliver=Olivia, Edward=Edwards, \n", + " Rich=Richard, Oscar=Oscar, Frank=Frank, Chris=Christopher=Topher,\n", + " Fat=Fats=Fatty\n", + " \"\"\", tiles1970)\n", + "\n", + "def legal_match(value, nbrval):\n", + " \"Does this value match the neighbor's value?\"\n", + " if value == '' == nbrval: return False\n", + " return (nbrval == value or nbrval is empty or nbrval is border or\n", + " nbrval in synsets[value])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Random Restart\n", + "\n", + "With many tiles, the program can get stuck before it has placed enough tiles. I could modify the program to *back up* in this case, but it will be easier to just *give up* and start again with an empty board. I can repeat this multiple times, and take the board on which the most tiles were placed. The function `best_dominoes` does this, and optionally plots the result. (I could fit more tiles on a larger square (with smaller tiles), but then the text would overflow the tiles even more than now.)" ] }, { @@ -312,72 +639,19 @@ "metadata": { "collapsed": false }, - "outputs": [], - "source": [ - "tiles2 = tiles(\"\"\"\n", - " The|Rock, Chris|Rock, Rock|Hudson, Chris|Isaac, Isaac|Newton, Olivia|Newton-John, Isaac|Hayes, \n", - " Sean|Hayes, Wallace|Shawn, Charles|Wallace, George|Wallace, Charles|Manson, Ray|Charles, \n", - " Rachel|Ray, Ray|Allen, Tim|Allen, Lily|Allen, Tim|Cook, James-Earl|Ray, James-Earl|Jones, \n", - " Man|Ray, Ray|Mann, Bat|Man, Super|Man, Tim|Howard, Ron|Howard, Ron|Paul, Paul|Allen, \n", - " Rand|Paul, Ayn|Rand, Paul|Ryan, Jack|Ryan, Debby|Ryan, Paul|Simon, Carly|Simon, John|Kelly, \n", - " Megyn|Kelly, John|Henry, Grace|Kelly, Grace|Jones, Grace|Hopper, Jack|Ma, Ma|Bell, Yo-Yo|Ma, \n", - " Jack|Ruby, Jack|Russell, Marilyn|Manson, Marilyn|Monroe, James|Monroe, George|Bush, \n", - " George|Clinton, Bill|Clinton, Jack|White, Meg|Ryan, Meg|White, Barry|White, Walter|White, \n", - " Betty|White, Charlie|Parker, Tommy|John, John|Kerry, Kerry|Washington, Jimmy|John, \n", - " John|Adams, Amy|Adams, Aimee|Man, Benjamin|Harrison, Benjamin|Franklin, Aretha|Franklin, \n", - " Franklin|Graham, James|Garfield, Garfield|, Kristen|Bell, Kristen|Stewart, Martha|Stewart, \n", - " Martha|Washington, Wsshington|Irving, John|Irving, Jimmy|Buffett, Jimmy|Jones, Warren|Buffett, \n", - " Elizabeth|Warren, Betty|Ford, Henry|Ford, Harrison|Ford, Kevin|Bacon, Kevin|Kline, Kevin|Love, \n", - " Kevin|Smith, Kevin|Costner, Will|Smith, Tommy|Lee, Robert-E|Lee, John|Wayne, Wayne|Newton, \n", - " Wayne|Knight, Wayne|Howard, Wayne|Brady, Tom|Brady, James|Brady, Cam|Newton, Cameron|Diaz,\n", - " James|Cameron, Etta|James, John|Oliver, John|Candy, John|Edward, John|Edwards, John|Lewis,\n", - " Huey|Lewis, Huey|Newton, Huey|Long, Long|John-Silver, Prince|, Prince|Harry, Harry|Potter,\n", - " Harry|Truman, Little|Prince, Stuart|Little, Little|Richard, Rich|Little, Chris|Pratt,\n", - " Chris|Evans, Bob|Evans, Tommy|Lee-Jones, Super|Grover\n", - " \"\"\")\n", - "\n", - "def synonyms(text): return [set(group.split('=')) for group in split(text)]\n", - "\n", - "match_groups = synonyms(\"\"\"\n", - " Charlie=Charles, Newton=Newton-John, Sean=Shawn, James=James-Earl=Jimmy, Man=Mann, Amy=Aimee,\n", - " Jack=John=John-Silver, Tom=Tommy, Will=William, Robert-E=Robert=Bob, Cam=Cameron, Oliver=Olivia,\n", - " Edward=Edwards, Rich=Richard, Lee=Lee-Jones, Jones=Lee-Jones\n", - " \"\"\")\n", - "\n", - "def legal_match(value, nbrval):\n", - " \"Does this value match the neighbor's value?\"\n", - " return (nbrval in (empty, border, value) or \n", - " any(value in group and nbrval in group\n", - " for group in match_groups))\n", - "\n", - "def best_dominoes(tiles, n=24, figsize=16, verbose=True, repeat=300):\n", - " board = max((dominoes(tiles, n) for _ in range(repeat)), \n", - " key=lambda board: len(board.boxes))\n", - " if verbose:\n", - " print(len(board.boxes), '/', len(tiles), 'tiles placed')\n", - " plot_board(board, figsize)\n", - " return board" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": { - "collapsed": false - }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "110 / 126 tiles placed\n" + "110 / 270 tiles placed\n" ] }, { "data": { - "image/png": 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Lxh1i3JIsBxj3thhAa8YQrXC/SGtXVRl3hqGYOF+9bkwvW0QlSZIkSb2yEJUk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MysUG6ImpmZmZmZWaHcEDUzMzMzM7NCuSFqZmZmZmZmhfLPt1hTko4ExpYdB1D7ceRnS40CdoOu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\ndQxapcVVNTHqIMbBoObc9SHNCAvB43VgX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ZSlpZlrvNsU2TRs+EVRqzqjoZOHnccYxDVZ0JnDnuOOayGuOrquOX+PW6LkNJ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\n6r3eVtKNqvRmS3pYa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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -385,7 +659,16 @@ } ], "source": [ - "best_dominoes(tiles2);" + "def best_dominoes(tiles, n=20, figsize=16, plot=True, repeat=30):\n", + " board = max((dominoes(tiles, n) for _ in range(repeat)), \n", + " key=lambda board: len(board.boxes))\n", + " if plot:\n", + " print(len(board.boxes), '/', len(tiles), 'tiles placed')\n", + " plot_board(board, figsize)\n", + " else:\n", + " return board\n", + "\n", + "best_dominoes(tiles1970)" ] } ], From 97031983736880cda730862242c1f73de5cc8210 Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Thu, 22 Mar 2018 23:19:08 -0700 Subject: [PATCH 36/90] xkcd-Name-Dominoes.ipynb --- ipynb/xkcd-Name-Dominoes.ipynb | 450 ++++++++++++++++++--------------- 1 file changed, 248 insertions(+), 202 deletions(-) diff --git a/ipynb/xkcd-Name-Dominoes.ipynb b/ipynb/xkcd-Name-Dominoes.ipynb index dd348ac..8e9209c 100644 --- a/ipynb/xkcd-Name-Dominoes.ipynb +++ b/ipynb/xkcd-Name-Dominoes.ipynb @@ -4,15 +4,15 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "
Peter Norvig
21 March 2018
\n", + "Peter Norvig
21 March 2018\n", "\n", "# `xkcd` Name Dominoes\n", "\n", - "The March 21, 2018 `xkcd` comic number 1970 was [Name Dominoes](https://xkcd.com/1970/): domino tiles laid out in a legal array,\n", - "but with each tile having names of famous poeple rather than numbers. In regular [dominoes](https://en.wikipedia.org/wiki/Dominoes), each tile has two halves, and a tile can be legally placed only if one half is adjacent to another tile with the same number/name, and neither half is adjacent to any tile with a different number/name. (The very first tile in a game has no adjacent tiles, so it can be placed anywhere.) I will write a function to lay out dominoes in a random, legal array. I'll start with two key data structures:\n", + "The March 21, 2018 `xkcd` comic number 1970 was [Name Dominoes](https://xkcd.com/1970/): domino tiles laid out as if in a game, but with the tiles containing names of famous poeple rather than numbers. \n", + "In [dominoes](https://en.wikipedia.org/wiki/Dominoes) each tile has two halves, and a tile can be legally placed only if one half is adjacent to another tile with the same number/name, and neither half is adjacent to any tile with a different number/name. (The very first tile in a game has no adjacent tiles, so it can be placed anywhere.) I will write a function to lay out dominoes in a random, legal array. I'll start with two key data structures:\n", "\n", "- **`Tile`**: a tile is a 2-element tuple, like `('Tim', 'Cook')`, indicating the two halves.\n", - "- **`Board(n)`**: Creates an [n × n] 2-dimensional array of locations; each location holds as a value one half of a tile, or it can be `empty`, or it can be a `border`, meaning nothing can be placed there.\n" + "- **`Board(w, h)`**: a [w × h] 2-dimensional array of locations; each location holds as a value one half of a tile, or it can be `empty`, or it can be a `border`, meaning nothing can be placed there." ] }, { @@ -26,22 +26,18 @@ "empty = ' '\n", "border = '--'\n", "\n", - "Tile = tuple\n", - "\n", "class Board(list):\n", " \"A board is a 2d array of values.\"\n", " \n", - " def __init__(self, n): \n", - " \"Initialize an [n × n] array of `empty`, surrounded by `off`\"\n", - " top = bot = [border] * (n + 2)\n", - " line = [border] + ([empty] * n) + [border]\n", - " self.extend([top] + [list(line) for _ in range(n)] + [bot])\n", + " def __init__(self, width=16, height=24): \n", + " \"Initialize a [width × height] array of `empty`, surrounded by `border`\"\n", + " def rows (r, val): \n", + " return [[border] + width * [val] + [border] for _ in range(r)]\n", + " self[:] = rows(1, border) + rows(height, empty) + rows(1, border)\n", " \n", " def get(self, loc): return self[loc[1]][loc[0]]\n", " \n", - " def put(self, loc, value): self[loc[1]][loc[0]] = value\n", - " \n", - "tiles1 = [('Bo', 'Ja'), ('Ja', 'Po'), ('Ja', 'Ry'), ('Ry', 'Ke'), ('Gr', 'Ke'), ('Gr', 'Ho')]" + " def put(self, loc, value): self[loc[1]][loc[0]] = value" ] }, { @@ -54,12 +50,11 @@ { "data": { "text/plain": [ - "[['--', '--', '--', '--', '--', '--'],\n", - " ['--', ' ', ' ', ' ', ' ', '--'],\n", - " ['--', ' ', ' ', ' ', ' ', '--'],\n", - " ['--', ' ', ' ', ' ', ' ', '--'],\n", - " ['--', ' ', ' ', ' ', ' ', '--'],\n", - " ['--', '--', '--', '--', '--', '--']]" + "[['--', '--', '--', '--'],\n", + " ['--', ' ', ' ', '--'],\n", + " ['--', ' ', ' ', '--'],\n", + " ['--', ' ', ' ', '--'],\n", + " ['--', '--', '--', '--']]" ] }, "execution_count": 2, @@ -68,23 +63,22 @@ } ], "source": [ - "Board(4)" + "Board(2, 3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Now I need a strategy to fill the board with tiles, legally. I will randomly place dominoes one at a time, and I will *not* consider removing a tile from the board and backtracking; this is a greedy search. Some more concepts:\n", + "Now I need a strategy to fill the board with tiles. I will randomly place dominoes one at a time, and I will *not* consider removing a tile from the board and backtracking. Some more concepts:\n", "\n", "- **`frontier`**: I'll maintain a *frontier*, a set of locations that are adjacent to tiles on the board, and thus are candidates for placing new tiles.\n", "- **`dominoes(tiles)`**: places a random tile for the first tile, then repeatedly calls `place1` to legally place an additional tile, stopping when either there is no `frontier` left (meaning no place to put a tile) or no `tiles` left to place.\n", - "- **`place1(tiles, board, frontier)`**: find a location in the frontier, such that some tile can legally put one of its halves there, and the other half on an adjacent location; when found, `put` the tile there, and remove it from `tiles`.\n", + "- **`try_one(tiles, board, frontier)`**: take a location in the frontier, and try to find some tile that can legally put one of its halves there, and the other half on an adjacent location; when found, `put` the tile there, and remove it from `tiles`.\n", "- **`legal(value, loc, board)`**: a value can be placed if the location is empty, and the value matches all the neighboring location values.\n", - "- **`legal_match(value, nbrval)`**: a value matches if the neighbor is empty or a border, or is equal to the value.\n", "- **`neighbors(loc)`**: returns the four neighbors of a location.\n", "- **`put(board, loc0, loc1, tile, frontier)`**: places a tile on the board, it accomplishes this by making two calls to the board's `put` method, one for each half of the tile. The `put` function also updates the `frontier` to say that the just-covered locations are no longer in the frontier, but the empty neighbors of the tile are.\n", - "- **`shuffle(sequence)`**: used to randomize lists; calls `random.shuffle` and returns the result." + "- **`shuffle(items)`**: used to randomize lists; calls `random.shuffle` and returns the result." ] }, { @@ -93,65 +87,43 @@ "metadata": { "collapsed": false }, - "outputs": [ - { - "data": { - "text/plain": [ - "[['--', '--', '--', '--', '--', '--', '--'],\n", - " ['--', 'Ho', ' ', 'Po', 'Ja', ' ', '--'],\n", - " ['--', 'Gr', 'Gr', ' ', 'Ja', 'Bo', '--'],\n", - " ['--', ' ', 'Ke', ' ', 'Ja', ' ', '--'],\n", - " ['--', ' ', 'Ke', 'Ry', 'Ry', ' ', '--'],\n", - " ['--', ' ', ' ', ' ', ' ', ' ', '--'],\n", - " ['--', '--', '--', '--', '--', '--', '--']]" - ] - }, - "execution_count": 3, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "import random\n", "\n", - "def dominoes(tiles, n=24):\n", + "def dominoes(tiles, width=16, height=24):\n", " \"Place as many tiles on board as possible, legally and randomly.\"\n", " tiles = shuffle(list(tiles))\n", - " board = Board(n)\n", + " board = Board(width, height)\n", " frontier = set()\n", - " m = n // 2\n", + " m = min(width, height) // 2\n", " put(board, (m, m), (m, m + 1), tiles.pop(), frontier) # Place first tile\n", " while tiles and frontier:\n", - " place1(tiles, board, frontier)\n", + " try_one(tiles, board, frontier)\n", " return board\n", " \n", - "def place1(tiles, board, frontier):\n", - " \"Randomly place one tile on board, on some frontier location and an adjacent square.\"\n", - " for loc0 in shuffle(frontier):\n", - " frontier.discard(loc0)\n", - " for tile in shuffle(tiles):\n", - " for (v, w) in [tile, tile[::-1]]:\n", - " if legal(v, loc0, board):\n", - " for loc1 in shuffle(neighbors(loc0)):\n", - " if legal(w, loc1, board):\n", - " put(board, loc0, loc1, [v, w], frontier)\n", - " tiles.remove(tile)\n", - " return \n", + "def try_one(tiles, board, frontier):\n", + " \"Pop a frontier location, and try to place a random tile on that location and an adjacent square.\"\n", + " loc0 = frontier.pop()\n", + " for tile in shuffle(tiles):\n", + " for (v, w) in [tile, tile[::-1]]:\n", + " if legal(v, loc0, board):\n", + " for loc1 in shuffle(neighbors(loc0)):\n", + " if legal(w, loc1, board):\n", + " put(board, loc0, loc1, [v, w], frontier)\n", + " tiles.remove(tile)\n", + " return \n", " \n", "def legal(value, loc, board):\n", " \"Is it legal to place this value on this location on board?\"\n", " return (board.get(loc) is empty and\n", - " all(legal_match(value, board.get(nbr)) \n", + " all(board.get(nbr) in (empty, border, value)\n", " for nbr in neighbors(loc)))\n", - "\n", - "def legal_match(value, nbrval):\n", - " \"Does this value match the neighbor's value?\"\n", - " return nbrval in (empty, border, value)\n", " \n", "def neighbors(loc):\n", " \"Neighbors of this location.\"\n", " x, y = loc\n", - " return ((x, y+1), (x, y-1), (x+1, y), (x-1, y)) \n", + " return [(x, y+1), (x, y-1), (x+1, y), (x-1, y)]\n", "\n", "def put(board, loc0, loc1, tile, frontier): \n", " \"Place the tile across the two locations, and update frontier.\"\n", @@ -161,25 +133,7 @@ " frontier |= {loc for loc in neighbors(loc0) + neighbors(loc1)\n", " if board.get(loc) is empty}\n", " \n", - "def shuffle(seq):\n", - " \"Return seq as a shuffled list.\"\n", - " if not isinstance(seq, list): seq = list(seq)\n", - " random.shuffle(seq)\n", - " return seq\n", - " \n", - "dominoes(tiles1, 5)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Pretty Output\n", - "\n", - "There are two problems with this output. One, it is ugly. Two, I can't easily tell where each domino is: when three names come together, which of the outside ones go with the middle one? To fix those two problems I will:\n", - "\n", - "- Use `matplotlib` to plot a less-ugly display, by defining `plot_board(board)`.\n", - "- Modify the `Board` class and the `put` function so that the board maintains a list of `boxes` that surround each tile once it is placed on the board." + "def shuffle(items): random.shuffle(items); return items" ] }, { @@ -188,13 +142,57 @@ "metadata": { "collapsed": false }, + "outputs": [ + { + "data": { + "text/plain": [ + "[['--', '--', '--', '--', '--', '--', '--', '--'],\n", + " ['--', 'Ry', 'Ke', ' ', ' ', 'Ja', 'Ry', '--'],\n", + " ['--', ' ', 'Ke', 'Gr', ' ', 'Ja', ' ', '--'],\n", + " ['--', ' ', ' ', 'Gr', ' ', 'Ke', ' ', '--'],\n", + " ['--', ' ', ' ', 'Jo', 'Jo', 'Ke', ' ', '--'],\n", + " ['--', ' ', ' ', ' ', ' ', ' ', ' ', '--'],\n", + " ['--', ' ', ' ', ' ', ' ', ' ', ' ', '--'],\n", + " ['--', '--', '--', '--', '--', '--', '--', '--']]" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "tiles1 = [('Bo', 'Ja'), ('Ja', 'Po'), ('Ja', 'Ry'), ('Ry', 'Ke'), \n", + " ('Gr', 'Ke'), ('Gr', 'Jo'), ('Ja', 'Ke'), ('Ke', 'Jo')]\n", + "\n", + "dominoes(tiles1, 6, 6)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Pretty Output\n", + "\n", + "There are two problems with this output. One, it is ugly. Two, I can't easily tell where each domino is: when three names come together, which of the outside names goes with the middle name? To fix those two problems I will:\n", + "\n", + "- Use `matplotlib` to plot a less-ugly display, by defining `plot_board(board)`.\n", + "- Modify the `Board` class and the `put` function so that the board maintains a list of `boxes` that surround each two-location rectangle that a tile occupies." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "\n", - "def plot_board(board, figsize=6):\n", - " plt.figure(figsize=(figsize, figsize))\n", + "def plot_board(board, figsize=(16, 24)):\n", + " plt.figure(figsize=figsize)\n", " plt.axis('off') \n", " plt.axis('equal')\n", " for (x0, y0, x1, y1) in board.boxes:\n", @@ -209,11 +207,11 @@ "class Board(list):\n", " \"A board is a 2d array of values.\"\n", " \n", - " def __init__(self, n): \n", - " \"Initialize an [n × n] array of `empty`, surrounded by `off`\"\n", - " top = bot = [border] * (n + 2)\n", - " line = [border] + ([empty] * n) + [border]\n", - " self.extend([top] + [list(line) for _ in range(n)] + [bot])\n", + " def __init__(self, width=20, height=36): \n", + " \"Initialize a [width × height] array of `empty`, surrounded by `border`\"\n", + " def rows (r, val): \n", + " return [[border] + width * [val] + [border] for _ in range(r)]\n", + " self[:] = rows(1, border) + rows(height, empty) + rows(1, border)\n", " self.boxes = []\n", " \n", " def get(self, loc): return self[loc[1]][loc[0]]\n", @@ -234,16 +232,16 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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+ "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -251,7 +249,7 @@ } ], "source": [ - "plot_board(dominoes(tiles1))" + "plot_board(dominoes(tiles1, 6, 6), (6, 6))" ] }, { @@ -261,30 +259,19 @@ "# All the Names\n", "\n", "Now let's try **all** the names from `xkcd 1970`, as reported \n", - "by [explainxkcd](http://www.explainxkcd.com/wiki/index.php/1970:_Name_Dominoes), with a few typo corrections:" + "by [explainxkcd](http://www.explainxkcd.com/wiki/index.php/1970:_Name_Dominoes), with a few typos corrected:" ] }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 7, "metadata": { "collapsed": false }, - "outputs": [ - { - "data": { - "text/plain": [ - "270" - ] - }, - "execution_count": 6, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "def split_names(text):\n", - " \"For each line of text, create a Tile of ('First Name(s)', 'Lastname').\"\n", + " \"For each line of text, create a tile of ('First Name(s)', 'Lastname').\"\n", " return [name.rpartition(' ')[0::2]\n", " for name in text.strip().splitlines()]\n", " \n", @@ -324,7 +311,7 @@ "Francis Bacon\n", "Francis Drake\n", "Lyndon Johnson\n", - "Oscar the Grouch\n", + "Oscar The Grouch\n", "Oscar Isaac\n", "Isaac Hayes\n", "Isaac Newton\n", @@ -529,7 +516,7 @@ "Cameron Crow\n", "Long John Silver\n", "Olivia Newton John\n", - "Huey long\n", + "Huey Long\n", "John Edwards\n", "Candy Crowley\n", "Aleister Crowley\n", @@ -559,78 +546,7 @@ "John Oliver\n", "Ryan Reynolds\n", "Alastair Reynolds\n", - "\"\"\")\n", - "\n", - "len(tiles1970)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Approximate and Partial Matches\n", - "\n", - "The halves of two tiles match if they are an exact match, like \"Amy\" and \"Amy\", but also if they are an **approximate match**, like \"Amy\" and \"Aimee\". You can manually allow for this with:\n", - "\n", - " synsets = synonyms(\"Amy=Aimee, ...\")\n", - "\n", - "Another issue is a **partial match**: \"John Smith\" is allowed to match \"Long John Silver\"\n", - "because the first name \"John\" is a piece of the first name \"Long John\". allowed to match. If you pass in a list of tiles as a second argument to `synsets`, then all the pieces of a first name (if it has more than one piece) will be (individually) made synonyms of the whole first name.\n", - "\n", - "I also update `legal_match` to consult the `synsets` global variable for an approximate or partial match, and to handle a special case: a single names like \"Prince\" gets represented as the tile `('', 'Prince')`, but we don't want the empty first name of this tile to match the empty first name of \"Drake\", so we disallow an empty-to-empty match." - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "import collections\n", - "\n", - "Synset = set\n", - "\n", - "def synonyms(text, tiles=()): \n", - " \"synonyms('a=A, b=B') => dict(a={'a', 'A'}, A={'a', 'A'}, b={'b', 'B'}, B={'b', 'B'}\"\n", - " synsets = collections.defaultdict(set)\n", - " # Process `text`\n", - " for text1 in text.split(','):\n", - " synset = Synset(text1.strip().split('='))\n", - " for s in synset:\n", - " synsets[s] |= synset\n", - " # Process `tiles`\n", - " for (first, last) in tiles:\n", - " if ' ' in first:\n", - " for piece in first.split():\n", - " synsets[piece].add(first)\n", - " synsets[first].add(piece)\n", - " return synsets\n", - "\n", - "synsets = synonyms(\"\"\"\n", - " Amy=Aimee, Cook=Cooke=Cookie=Cokie, Alastair=Alistair, Columbo=Columbus, \n", - " Safire=Sapphire=Garnet, Garnet=Ruby, Charlie=Charles, Sean=Shawn, \n", - " Jimmy=James, Man=Mann, Jack=John, Tom=Tommy, Will=William=Williams, \n", - " Robert=Roberts=Bob, Cam=Cameron, Oliver=Olivia, Edward=Edwards, \n", - " Rich=Richard, Oscar=Oscar, Frank=Frank, Chris=Christopher=Topher,\n", - " Fat=Fats=Fatty\n", - " \"\"\", tiles1970)\n", - "\n", - "def legal_match(value, nbrval):\n", - " \"Does this value match the neighbor's value?\"\n", - " if value == '' == nbrval: return False\n", - " return (nbrval == value or nbrval is empty or nbrval is border or\n", - " nbrval in synsets[value])" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Random Restart\n", - "\n", - "With many tiles, the program can get stuck before it has placed enough tiles. I could modify the program to *back up* in this case, but it will be easier to just *give up* and start again with an empty board. I can repeat this multiple times, and take the board on which the most tiles were placed. The function `best_dominoes` does this, and optionally plots the result. (I could fit more tiles on a larger square (with smaller tiles), but then the text would overflow the tiles even more than now.)" + "\"\"\")" ] }, { @@ -641,17 +557,156 @@ }, "outputs": [ { - "name": "stdout", - "output_type": "stream", - "text": [ - "110 / 270 tiles placed\n" - ] - }, + "data": { + "text/plain": [ + "270" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "len(tiles1970)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [ { "data": { - "image/png": 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ZSlpZlrvNsU2TRs+EVRqzqjoZOHnccYxDVZ0JnDnuOOayGuOrquOX+PW6LkNJ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\n6r3eVtKNqvRmS3pYa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"text/plain": [ - "" + "[('Bill', 'Clinton'),\n", + " ('Kristen', 'Stewart'),\n", + " ('James Earl', 'Ray'),\n", + " ('Barry', 'White'),\n", + " ('Kevin', 'Costner'),\n", + " ('Grace', 'Lee'),\n", + " ('Carly', 'Hughes'),\n", + " ('Ma', 'Bell'),\n", + " ('Chris', 'Cooper')]" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "random.sample(tiles1970, 9)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Approximate and Partial Matches\n", + "\n", + "The halves of two tiles match if they are an exact match, like \"Amy\" and \"Amy\", but also if they are an **approximate match**, like \"Amy\" and \"Aimee\". You can manually define allowable approximate matches like this:\n", + "\n", + " synsets = synonyms(\"Amy=Aimee, ...\")\n", + "\n", + "The idea is that this creates *synonym sets*, or `synsets`.\n", + "Another issue is a **partial match**: \"John Smith\" is allowed to match \"Long John Silver\"\n", + "because the first name \"John\" is a piece of the first name \"Long John\". In the 1970 comic, this was drawn with one domino touching the middle of another; I won't do that, but I will allow, for first names that have multiple parts, for another tile to match any one of the parts. The second argument to `synsets`, is a list of tiles; `synonyms` will go through these and add synset entries for paets of first names. \n", + "\n", + "I also update `legal_match` to consult the `synsets` global variable for an approximate or partial match, and to handle a special case: a single names like \"Prince\" gets represented as the tile `('', 'Prince')`, but we don't want the empty first name of this tile to match the empty first name of \"Drake\", so we disallow an empty-to-empty match." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "import collections\n", + "\n", + "def synonyms(text, tiles=()): \n", + " \"synonyms('a=A, b=B') => dict(a={'a', 'A'}, A={'a', 'A'}, b={'b', 'B'}, B={'b', 'B'}\"\n", + " synsets = collections.defaultdict(set)\n", + " # Process `text`\n", + " for text1 in text.split(','):\n", + " synset = set(text1.strip().split('='))\n", + " for s in synset:\n", + " synsets[s] |= synset\n", + " # Process `tiles`\n", + " for (first, last) in tiles:\n", + " if ' ' in first:\n", + " for piece in first.split():\n", + " synsets[piece].add(first)\n", + " synsets[first].add(piece)\n", + " return synsets\n", + "\n", + "def legal(value, loc, board):\n", + " \"Is it legal to place this value on this location on board?\"\n", + " return (board.get(loc) is empty and\n", + " all(legal_match(value, board.get(nbr)) for nbr in neighbors(loc)))\n", + "\n", + "def legal_match(value, nbrval):\n", + " \"Does this value match the neighbor's value?\"\n", + " return (nbrval in (empty, border) or \n", + " nbrval == value != '' or\n", + " nbrval in synsets[value])" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "synsets = synonyms(\"\"\"\n", + " Amy=Aimee, Cook=Cooke=Cookie=Cokie, Alastair=Alistair, Columbo=Columbus, \n", + " Safire=Sapphire=Garnet, Garnet=Ruby, Charlie=Charles, Sean=Shawn, \n", + " Jimmy=James, Man=Mann, Jack=John, Tom=Tommy, Will=William=Williams, \n", + " Robert=Roberts=Bob, Cam=Cameron, Oliver=Olivia, Edward=Edwards, \n", + " Rich=Richard, Chris=Christopher=Topher, Fat=Fats=Fatty\n", + " \"\"\", tiles1970)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Random Restart\n", + "\n", + "The program sometimes gets stuck before it has placed enough tiles. I could modify the program to *back up* in this case, but it will be easier to just *give up* and restart with an empty board. I can restart multiple times, and take the board on which the most tiles were placed. The function `restart_dominoes` does this." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def restart_dominoes(tiles, width=16, height=24, repeat=50):\n", + " return max((dominoes(tiles, width, height) for _ in range(repeat)), \n", + " key=lambda board: len(board.boxes))" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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Fz2qzjncAa+hud5+00P0I0xOTnAP8G3BdaxfOAL6U5Kd0t+QA3ELXcTs1yWHt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\nSZIkSVJXJqKSJEmSpK5MRCVJkiRJXZmISpIkSZK6M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+ "text/plain": [ + "" ] }, "metadata": {}, @@ -659,16 +714,7 @@ } ], "source": [ - "def best_dominoes(tiles, n=20, figsize=16, plot=True, repeat=30):\n", - " board = max((dominoes(tiles, n) for _ in range(repeat)), \n", - " key=lambda board: len(board.boxes))\n", - " if plot:\n", - " print(len(board.boxes), '/', len(tiles), 'tiles placed')\n", - " plot_board(board, figsize)\n", - " else:\n", - " return board\n", - "\n", - "best_dominoes(tiles1970)" + "plot_board(restart_dominoes(tiles1970))" ] } ], From b26fef0d1554cec0dd35f0b7a0c200619e2fd7ee Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Sun, 25 Mar 2018 23:50:55 -0700 Subject: [PATCH 37/90] xkcd-Name-Dominoes.ipynb --- ipynb/xkcd-Name-Dominoes.ipynb | 558 +++++++++------------------------ 1 file changed, 156 insertions(+), 402 deletions(-) diff --git a/ipynb/xkcd-Name-Dominoes.ipynb b/ipynb/xkcd-Name-Dominoes.ipynb index 8e9209c..8398481 100644 --- a/ipynb/xkcd-Name-Dominoes.ipynb +++ b/ipynb/xkcd-Name-Dominoes.ipynb @@ -4,23 +4,21 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Peter Norvig
21 March 2018\n", + "
Peter Norvig
21 March 2018
\n", "\n", "# `xkcd` Name Dominoes\n", "\n", - "The March 21, 2018 `xkcd` comic number 1970 was [Name Dominoes](https://xkcd.com/1970/): domino tiles laid out as if in a game, but with the tiles containing names of famous poeple rather than numbers. \n", - "In [dominoes](https://en.wikipedia.org/wiki/Dominoes) each tile has two halves, and a tile can be legally placed only if one half is adjacent to another tile with the same number/name, and neither half is adjacent to any tile with a different number/name. (The very first tile in a game has no adjacent tiles, so it can be placed anywhere.) I will write a function to lay out dominoes in a random, legal array. I'll start with two key data structures:\n", + "The March 21, 2018 `xkcd` comic (#1970) was [Name Dominoes](https://xkcd.com/1970/): domino tiles laid out as if in a game, but the tiles contain names of famous poeple rather than numbers. \n", + "In [dominoes](https://en.wikipedia.org/wiki/Dominoes) each tile has two halves, and a tile can be legally placed only if one half is adjacent to another tile with the same number/name, and neither half is adjacent to any tile with a different number/name. (The very first tile played in a game has no adjacent tiles, so it can be placed anywhere.) I will write a function to lay out tiles in a random, legal array. I'll start with two key data structures:\n", "\n", - "- **`Tile`**: a tile is a 2-element tuple, like `('Tim', 'Cook')`, indicating the two halves.\n", + "- **`Tile`**: a tile is a 2-element tuple, like `('TIM', 'COOK')`, indicating the two halves.\n", "- **`Board(w, h)`**: a [w × h] 2-dimensional array of locations; each location holds as a value one half of a tile, or it can be `empty`, or it can be a `border`, meaning nothing can be placed there." ] }, { "cell_type": "code", "execution_count": 1, - "metadata": { - "collapsed": true - }, + "metadata": {}, "outputs": [], "source": [ "empty = ' '\n", @@ -43,25 +41,8 @@ { "cell_type": "code", "execution_count": 2, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "[['--', '--', '--', '--'],\n", - " ['--', ' ', ' ', '--'],\n", - " ['--', ' ', ' ', '--'],\n", - " ['--', ' ', ' ', '--'],\n", - " ['--', '--', '--', '--']]" - ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - } - ], + "metadata": {}, + "outputs": [], "source": [ "Board(2, 3)" ] @@ -70,23 +51,21 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Now I need a strategy to fill the board with tiles. I will randomly place dominoes one at a time, and I will *not* consider removing a tile from the board and backtracking. Some more concepts:\n", + "Now I need a strategy to fill the board with tiles. I will randomly place tiles one at a time, and to make things easier I will *not* consider removing a tile from the board and backtracking. Some more concepts:\n", "\n", "- **`frontier`**: I'll maintain a *frontier*, a set of locations that are adjacent to tiles on the board, and thus are candidates for placing new tiles.\n", - "- **`dominoes(tiles)`**: places a random tile for the first tile, then repeatedly calls `place1` to legally place an additional tile, stopping when either there is no `frontier` left (meaning no place to put a tile) or no `tiles` left to place.\n", - "- **`try_one(tiles, board, frontier)`**: take a location in the frontier, and try to find some tile that can legally put one of its halves there, and the other half on an adjacent location; when found, `put` the tile there, and remove it from `tiles`.\n", + "- **`dominoes(tiles)`**: makes a board and places tiles on it, one at a time, until no more can be placed. Chooses a random tile for the first tile, then repeatedly calls `try_one` to legally place an additional tile, stopping when either there is no `frontier` left (meaning no place to put a tile) or no `tiles` left to place.\n", + "- **`try_one(tiles, board, frontier)`**: pop a location off the frontier, and try to find some tile that can legally put one of its halves there and the other half on an adjacent location; when found, `put` the tile there, and remove it from `tiles`.\n", "- **`legal(value, loc, board)`**: a value can be placed if the location is empty, and the value matches all the neighboring location values.\n", "- **`neighbors(loc)`**: returns the four neighbors of a location.\n", - "- **`put(board, loc0, loc1, tile, frontier)`**: places a tile on the board, it accomplishes this by making two calls to the board's `put` method, one for each half of the tile. The `put` function also updates the `frontier` to say that the just-covered locations are no longer in the frontier, but the empty neighbors of the tile are.\n", + "- **`put(board, loc0, loc1, tile, frontier)`**: places a tile on the board; it accomplishes this by making two calls to the board's `put` method, one for each half of the tile. The `put` function also updates the `frontier` to say that the just-covered locations are no longer in the frontier, but the empty neighbors of the tile are.\n", "- **`shuffle(items)`**: used to randomize lists; calls `random.shuffle` and returns the result." ] }, { "cell_type": "code", "execution_count": 3, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "import random\n", @@ -103,7 +82,7 @@ " return board\n", " \n", "def try_one(tiles, board, frontier):\n", - " \"Pop a frontier location, and try to place a random tile on that location and an adjacent square.\"\n", + " \"Pop a frontier location, and try to place a random tile on that location.\"\n", " loc0 = frontier.pop()\n", " for tile in shuffle(tiles):\n", " for (v, w) in [tile, tile[::-1]]:\n", @@ -112,7 +91,7 @@ " if legal(w, loc1, board):\n", " put(board, loc0, loc1, [v, w], frontier)\n", " tiles.remove(tile)\n", - " return \n", + " return tile\n", " \n", "def legal(value, loc, board):\n", " \"Is it legal to place this value on this location on board?\"\n", @@ -139,20 +118,18 @@ { "cell_type": "code", "execution_count": 4, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[['--', '--', '--', '--', '--', '--', '--', '--'],\n", - " ['--', 'Ry', 'Ke', ' ', ' ', 'Ja', 'Ry', '--'],\n", - " ['--', ' ', 'Ke', 'Gr', ' ', 'Ja', ' ', '--'],\n", - " ['--', ' ', ' ', 'Gr', ' ', 'Ke', ' ', '--'],\n", - " ['--', ' ', ' ', 'Jo', 'Jo', 'Ke', ' ', '--'],\n", - " ['--', ' ', ' ', ' ', ' ', ' ', ' ', '--'],\n", - " ['--', ' ', ' ', ' ', ' ', ' ', ' ', '--'],\n", + " ['--', ' ', ' ', 'JA', 'BO', ' ', ' ', '--'],\n", + " ['--', ' ', 'RY', 'JA', ' ', ' ', ' ', '--'],\n", + " ['--', ' ', ' ', 'JA', ' ', ' ', ' ', '--'],\n", + " ['--', 'GR', 'KE', 'KE', 'KE', 'RY', ' ', '--'],\n", + " ['--', ' ', ' ', 'KE', ' ', ' ', ' ', '--'],\n", + " ['--', 'GR', 'JO', 'JO', ' ', ' ', ' ', '--'],\n", " ['--', '--', '--', '--', '--', '--', '--', '--']]" ] }, @@ -162,8 +139,8 @@ } ], "source": [ - "tiles1 = [('Bo', 'Ja'), ('Ja', 'Po'), ('Ja', 'Ry'), ('Ry', 'Ke'), \n", - " ('Gr', 'Ke'), ('Gr', 'Jo'), ('Ja', 'Ke'), ('Ke', 'Jo')]\n", + "tiles1 = [('BO', 'JA'), ('JA', 'PO'), ('JA', 'RY'), ('RY', 'KE'), \n", + " ('GR', 'KE'), ('GR', 'JO'), ('JA', 'KE'), ('KE', 'JO')]\n", "\n", "dominoes(tiles1, 6, 6)" ] @@ -174,18 +151,16 @@ "source": [ "# Pretty Output\n", "\n", - "There are two problems with this output. One, it is ugly. Two, I can't easily tell where each domino is: when three names come together, which of the outside names goes with the middle name? To fix those two problems I will:\n", + "There are two problems with this output. One, it is ugly. Two, I can't easily tell where each tile is: when three names come together, which of the outside names goes with the middle name? To fix those two problems I will:\n", "\n", - "- Use `matplotlib` to plot a less-ugly display, by defining `plot_board(board)`.\n", + "- Use `matplotlib` to plot a less-ugly display; encapsulate this in the function `plot_board(board)`.\n", "- Modify the `Board` class and the `put` function so that the board maintains a list of `boxes` that surround each two-location rectangle that a tile occupies." ] }, { "cell_type": "code", "execution_count": 5, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", @@ -195,14 +170,14 @@ " plt.figure(figsize=figsize)\n", " plt.axis('off') \n", " plt.axis('equal')\n", + " plt.tight_layout()\n", " for (x0, y0, x1, y1) in board.boxes:\n", " plt.plot([x0, x1, x1, x0, x0], \n", " [y0, y0, y1, y1, y0], 'k-')\n", " for (y, row) in enumerate(board):\n", " for (x, val) in enumerate(row):\n", " if val is not border:\n", - " plt.text(x + 0.5, y + 0.3, val.replace('-', ' '),\n", - " ha='center', fontsize=8)\n", + " plt.text(x + 0.5, y + 0.3, val, ha='center', fontsize=8)\n", " \n", "class Board(list):\n", " \"A board is a 2d array of values.\"\n", @@ -227,21 +202,19 @@ " frontier |= {loc for loc in neighbors(loc0) + neighbors(loc1)\n", " if board.get(loc) is empty}\n", " (x0, y0), (x1, y1) = loc0, loc1\n", - " board.boxes.append((min(x0, x1), min(y0, y1), max(x0, x1) + 1, max(y0, y1) + 1))" + " board.boxes.append((min(x0, x1), min(y0, y1), max(x0, x1) + 0.94, max(y0, y1) + 0.94))" ] }, { "cell_type": "code", "execution_count": 6, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { - "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -258,303 +231,70 @@ "source": [ "# All the Names\n", "\n", - "Now let's try **all** the names from `xkcd 1970`, as reported \n", - "by [explainxkcd](http://www.explainxkcd.com/wiki/index.php/1970:_Name_Dominoes), with a few typos corrected:" + "Now let's try all the names from the comic, courtesy of \n", + " [explainxkcd](http://www.explainxkcd.com/wiki/index.php/1970:_Name_Dominoes), with a few typos corrected:" ] }, { "cell_type": "code", "execution_count": 7, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "def split_names(text):\n", " \"For each line of text, create a tile of ('First Name(s)', 'Lastname').\"\n", - " return [name.rpartition(' ')[0::2]\n", - " for name in text.strip().splitlines()]\n", - " \n", - "tiles1970 = split_names(\"\"\"\n", - "Christian Campbell\n", - "Neve Campbell\n", - "Joe McCarthy\n", - "Eugene McCarthy\n", - "Gene Vincent\n", - "Gene Kelly\n", - "Kate Hudson\n", - "Rock Hudson\n", - "Gordon Brown\n", - "James Brown\n", - "Jon Brown\n", - "John Howard\n", - "Columbo\n", - "Chris Columbus\n", - "Christopher Columbus\n", - "Naomi Campbell\n", - "Joseph Campbell\n", - "Joseph Smith\n", - "Frank Vincent\n", - "John Kelly\n", - "Katherine Johnson\n", - "The Rock\n", - "Chris Rock\n", - "Chris Isaac\n", - "James Newton Howard\n", - "John Wayne\n", - "Howard Stern\n", - "Howard Hunt\n", - "Chris Hughes\n", - "Naomi Watts\n", - "Naomi Klein\n", - "Kevin Kline\n", - "Francis Bacon\n", - "Francis Drake\n", - "Lyndon Johnson\n", - "Oscar The Grouch\n", - "Oscar Isaac\n", - "Isaac Hayes\n", - "Isaac Newton\n", - "Wayne Newton\n", - "Wayne Knight\n", - "Helen Hunt\n", - "Helen Hughes\n", - "James Watt\n", - "James Watt\n", - "Kevin Costner\n", - "Kevin Bacon\n", - "Kevin Love\n", - "Lisa Frank\n", - "Frank Drake\n", - "Drake\n", - "Oscar de la Renta\n", - "Oscar de la Hoya\n", - "Sean Hayes\n", - "Wallace Shawn\n", - "Wayne Howard\n", - "Wayne Brady\n", - "James Brady\n", - "Tom Brady\n", - "Helen Thomas\n", - "Tom Hanks\n", - "Hank Aaron\n", - "Aaron Carter\n", - "Stephen James\n", - "Will Smith\n", - "Kevin Smith\n", - "Kein James\n", - "Garfield\n", - "James Garfield\n", - "Warren Buffett\n", - "Jimmy Buffett\n", - "Warren Beatty\n", - "Elizabeth Warren\n", - "Earl Warren\n", - "Eliabeth Kolbert\n", - "Stephen Colbert\n", - "George Wallace\n", - "Charles Wallace\n", - "James Monroe\n", - "Marilyn Monroe\n", - "Hank Williams\n", - "William C. Williams\n", - "Steve Harvey\n", - "Domino Harvey\n", - "Harvey Milk\n", - "James Saint James\n", - "Etta James\n", - "Jim Jones\n", - "James Earl Jones\n", - "Charlie Parker\n", - "Ray Parker\n", - "Ray Charles\n", - "Charles Manson\n", - "Marilyn Manson\n", - "Robin Williams\n", - "Billy D. Williams\n", - "Will Wright\n", - "Fats Domino\n", - "Bill Clinton\n", - "Jimmy John\n", - "Tom Jones\n", - "Tommy John\n", - "Quincy Jones\n", - "James Earl Ray\n", - "Man Ray\n", - "Rachel Ray\n", - "Ray Allen\n", - "Tim Allen\n", - "Tim Cook\n", - "Tim Howard\n", - "Robin Wright\n", - "Wilbur Wright\n", - "Fatty Arbuckle\n", - "Fat Joe\n", - "George Clinton\n", - "John Kerry\n", - "Kerry Washington\n", - "John Irving\n", - "John Quincy Adams\n", - "John Adams\n", - "Amy Adams\n", - "Aimee Mann\n", - "Super Man\n", - "Bat Man\n", - "Ayn Rand\n", - "Lily Allen\n", - "Paul Allen\n", - "Ron Howard\n", - "Howard Hughes\n", - "Joe Kennedy\n", - "George Bush\n", - "George Wasington\n", - "Wasington Irving\n", - "Martha Wasington\n", - "Ma Rainey\n", - "Jack Ma\n", - "Super Grover\n", - "Jack Black\n", - "Rand Paul\n", - "Paul Ryan\n", - "Paul Simon\n", - "Ron Paul\n", - "John Hughes\n", - "Langston Hughes\n", - "John F. Kennedy\n", - "Little Richard\n", - "Rich Little\n", - "Martha Stewart\n", - "Yo Yo Ma\n", - "Ma Bell\n", - "Grover Cleveland Alexander\n", - "Grover Cleveland\n", - "Jack White\n", - "Jack Ryan\n", - "Debby Ryan\n", - "Carly Simon\n", - "Carly Hughes\n", - "Charles Evans Hughes\n", - "John Williams\n", - "Little John\n", - "Stuart Little\n", - "Potter Stewart\n", - "Kristen Stewart\n", - "Kristen Bell\n", - "Kristen Hooks\n", - "Alexander Graham Bell\n", - "Franklin Graham\n", - "Lloyd Alexander\n", - "Meg White\n", - "Meg Ryan\n", - "Debbie Reynolds\n", - "John Reynolds\n", - "Carly Fiorina\n", - "Grace Lee Boggs\n", - "Wade Boggs\n", - "William Safire\n", - "Prince William\n", - "Little Prince\n", - "Harry Potter\n", - "James Potter\n", - "James Hook\n", - "James Dean\n", - "Aretha Franklin\n", - "Frank Lloyd Wright\n", - "Barry White\n", - "Walter White\n", - "Walt Whitman\n", - "John Kelly\n", - "Grace Lee\n", - "Nancy Grace\n", - "Garnet\n", - "Prince\n", - "Prince Felder\n", - "Prince Harry\n", - "Harry Styles\n", - "John Dean\n", - "Benjamin Franklin\n", - "Harrold Lloyd\n", - "Harrold Ford\n", - "Betty White\n", - "Meg Whitman\n", - "Christine Todd Whitman\n", - "Megyn Kelly\n", - "Grace Kelly\n", - "Grace Jones\n", - "Jack Nicholson\n", - "Jack Ruby\n", - "Jack Russel\n", - "Harry Fielder\n", - "Harry Trueman\n", - "Harry Jon Benjamin\n", - "John Edward\n", - "Benjamin Harrison\n", - "Harrison Ford\n", - "Henry Ford\n", - "Betty Ford\n", - "Betty Friedan\n", - "Chris Christie\n", - "Chris Pratt\n", - "Maggie Grace\n", - "Grace Hopper\n", - "Russel Crowe\n", - "Russ Smith\n", - "John Smith\n", - "Justin Long\n", - "John Bel Edwards\n", - "John Candy\n", - "John Henry\n", - "Henry James\n", - "Bill James\n", - "Chris Cooper\n", - "Chris Hemsworth\n", - "Chris Evans\n", - "Topher Grace\n", - "Van Morrison\n", - "Sheryl Crow\n", - "Sheryl Sandberg\n", - "Cameron Crow\n", - "Long John Silver\n", - "Olivia Newton John\n", - "Huey Long\n", - "John Edwards\n", - "Candy Crowley\n", - "Aleister Crowley\n", - "James Fenimore Cooper\n", - "James Cook\n", - "Robert Frost\n", - "Bob Evans\n", - "Evan Tayler Jones\n", - "James Cameron\n", - "Cam Newton\n", - "Cameron Diaz\n", - "Huey Newton\n", - "Huey Lewis\n", - "John Lewis\n", - "Jenny Lewis\n", - "Ryan Lewis\n", - "Burt Reynolds\n", - "Alistair Cooke\n", - "Alistair Cookie\n", - "Cokie Roberts\n", - "John Roberts\n", - "Robert Johnson\n", - "Robert E. Lee\n", - "Tommy Lee\n", - "Tommy Lee Jones\n", - "Etta James\n", - "John Oliver\n", - "Ryan Reynolds\n", - "Alastair Reynolds\n", - "\"\"\")" + " return [name.strip().rpartition(' ')[0::2]\n", + " for name in text.upper().split(',')]\n", + " \n", + "xkcdtiles = split_names(\"\"\"Christian Campbell, Neve Campbell, Joe McCarthy, Eugene McCarthy, \n", + " Gene Vincent, Gene Kelly, Kate Hudson, Rock Hudson, Gordon Brown, James Brown, Jon Brown, \n", + " John Howard, Columbo, Chris Columbus, Christopher Columbus, Naomi Campbell, Joseph Campbell, \n", + " Joseph Smith, Frank Vincent, John Kelly, Katherine Johnson, The Rock, Chris Rock, Chris Isaac, \n", + " James Newton Howard, John Wayne, Howard Stern, Howard Hunt, Chris Hughes, Naomi Watts, \n", + " Naomi Klein, Kevin Kline, Francis Bacon, Francis Drake, Lyndon Johnson, Oscar The Grouch, \n", + " Oscar Isaac, Isaac Hayes, Isaac Newton, Wayne Newton, Wayne Knight, Helen Hunt, Helen Hughes, \n", + " James Watt, James Watt, Kevin Costner, Kevin Bacon, Kevin Love, Lisa Frank, Frank Drake, Drake, \n", + " Oscar de la Renta, Oscar de la Hoya, Sean Hayes, Wallace Shawn, Wayne Howard, Wayne Brady, \n", + " James Brady, Tom Brady, Helen Thomas, Tom Hanks, Hank Aaron, Aaron Carter, Stephen James, \n", + " Will Smith, Kevin Smith, Kein James, Garfield, James Garfield, Warren Buffett, Jimmy Buffett, \n", + " Warren Beatty, Elizabeth Warren, Earl Warren, Eliabeth Kolbert, Stephen Colbert, George Wallace, \n", + " Charles Wallace, James Monroe, Marilyn Monroe, Hank Williams, William C. Williams, Steve Harvey, \n", + " Domino Harvey, Harvey Milk, James Saint James, Etta James, Jim Jones, James Earl Jones, \n", + " Charlie Parker, Ray Parker, Ray Charles, Charles Manson, Marilyn Manson, Robin Williams, \n", + " Billy D. Williams, Will Wright, Fats Domino, Bill Clinton, Jimmy John, Tom Jones, Tommy John, \n", + " Quincy Jones, James Earl Ray, Man Ray, Rachel Ray, Ray Allen, Tim Allen, Tim Cook, Tim Howard, \n", + " Robin Wright, Wilbur Wright, Fatty Arbuckle, Fat Joe, George Clinton, John Kerry, \n", + " Kerry Washington, John Irving, John Quincy Adams, John Adams, Amy Adams, Aimee Mann, Super Man, \n", + " Bat Man, Ayn Rand, Lily Allen, Paul Allen, Ron Howard, Howard Hughes, Joe Kennedy, George Bush, \n", + " George Wasington, Wasington Irving, Martha Wasington, Ma Rainey, Jack Ma, Super Grover, \n", + " Jack Black, Rand Paul, Paul Ryan, Paul Simon, Ron Paul, John Hughes, Langston Hughes, \n", + " John F. Kennedy, Little Richard, Rich Little, Martha Stewart, Yo Yo Ma, Ma Bell, \n", + " Grover Cleveland Alexander, Grover Cleveland, Jack White, Jack Ryan, Debby Ryan, Carly Simon, \n", + " Carly Hughes, Charles Evans Hughes, John Williams, Little John, Stuart Little, Potter Stewart, \n", + " Kristen Stewart, Kristen Bell, Kristen Hooks, Alexander Graham Bell, Franklin Graham, \n", + " Lloyd Alexander, Meg White, Meg Ryan, Debbie Reynolds, John Reynolds, Carly Fiorina, \n", + " Grace Lee Boggs, Wade Boggs, William Safire, Prince William, Little Prince, Harry Potter, \n", + " James Potter, James Hook, James Dean, Aretha Franklin, Frank Lloyd Wright, Barry White, \n", + " Walter White, Walt Whitman, John Kelly, Grace Lee, Nancy Grace, Garnet, Prince, Prince Felder, \n", + " Prince Harry, Harry Styles, John Dean, Benjamin Franklin, Harrold Lloyd, Harrold Ford, \n", + " Betty White, Meg Whitman, Christine Todd Whitman, Megyn Kelly, Grace Kelly, Grace Jones, \n", + " Jack Nicholson, Jack Ruby, Jack Russel, Harry Fielder, Harry Truman, Harry Jon Benjamin, \n", + " John Edward, Benjamin Harrison, Harrison Ford, Henry Ford, Betty Ford, Betty Friedan, \n", + " Chris Christie, Chris Pratt, Maggie Grace, Grace Hopper, Russel Crowe, Russ Smith, John Smith, \n", + " Justin Long, John Bel Edwards, John Candy, John Henry, Henry James, Bill James, Chris Cooper, \n", + " Chris Hemsworth, Chris Evans, Topher Grace, Van Morrison, Sheryl Crow, Sheryl Sandberg, \n", + " Cameron Crow, Long John Silver, Olivia Newton John, Huey Long, John Edwards, Candy Crowley, \n", + " Aleister Crowley, James Fenimore Cooper, James Cook, Robert Frost, Bob Evans, Evan Tayler Jones, \n", + " James Cameron, Cam Newton, Cameron Diaz, Huey Newton, Huey Lewis, John Lewis, Jenny Lewis, \n", + " Ryan Lewis, Burt Reynolds, Alistair Cooke, Alistair Cookie, Cokie Roberts, John Roberts, \n", + " Robert Johnson, Robert E. Lee, Tommy Lee, Tommy Lee Jones, Etta James, John Oliver, \n", + " Ryan Reynolds, Alastair Reynolds\"\"\")" ] }, { "cell_type": "code", "execution_count": 8, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -568,28 +308,26 @@ } ], "source": [ - "len(tiles1970)" + "len(xkcdtiles)" ] }, { "cell_type": "code", "execution_count": 9, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "[('Bill', 'Clinton'),\n", - " ('Kristen', 'Stewart'),\n", - " ('James Earl', 'Ray'),\n", - " ('Barry', 'White'),\n", - " ('Kevin', 'Costner'),\n", - " ('Grace', 'Lee'),\n", - " ('Carly', 'Hughes'),\n", - " ('Ma', 'Bell'),\n", - " ('Chris', 'Cooper')]" + "[('RAY', 'ALLEN'),\n", + " ('HARVEY', 'MILK'),\n", + " ('LONG JOHN', 'SILVER'),\n", + " ('MARILYN', 'MONROE'),\n", + " ('', 'PRINCE'),\n", + " ('JON', 'BROWN'),\n", + " ('WAYNE', 'NEWTON'),\n", + " ('JOHN', 'CANDY'),\n", + " ('HENRY', 'JAMES')]" ] }, "execution_count": 9, @@ -598,7 +336,7 @@ } ], "source": [ - "random.sample(tiles1970, 9)" + "random.sample(xkcdtiles, 9)" ] }, { @@ -607,32 +345,27 @@ "source": [ "# Approximate and Partial Matches\n", "\n", - "The halves of two tiles match if they are an exact match, like \"Amy\" and \"Amy\", but also if they are an **approximate match**, like \"Amy\" and \"Aimee\". You can manually define allowable approximate matches like this:\n", + "Two tile halves match if they are an exact match, like \"ADAMS\" and \"ADAMS\", or if they are an **approximate match**, like \"AMY\" and \"AIMEE\". To accomodate this, you can manually define allowable approximate matches by making the global variable `synsets` (synonym sets) be a mapping from a name to the set of approximate matches it should match, which can be done like this:\n", "\n", - " synsets = synonyms(\"Amy=Aimee, ...\")\n", + " synsets = synonyms(\"AMY=AIMEE, COOK=COOKE=COOKIE=COKIE, ...\")\n", "\n", - "The idea is that this creates *synonym sets*, or `synsets`.\n", - "Another issue is a **partial match**: \"John Smith\" is allowed to match \"Long John Silver\"\n", - "because the first name \"John\" is a piece of the first name \"Long John\". In the 1970 comic, this was drawn with one domino touching the middle of another; I won't do that, but I will allow, for first names that have multiple parts, for another tile to match any one of the parts. The second argument to `synsets`, is a list of tiles; `synonyms` will go through these and add synset entries for paets of first names. \n", - "\n", - "I also update `legal_match` to consult the `synsets` global variable for an approximate or partial match, and to handle a special case: a single names like \"Prince\" gets represented as the tile `('', 'Prince')`, but we don't want the empty first name of this tile to match the empty first name of \"Drake\", so we disallow an empty-to-empty match." + "Another issue is a **partial match**: in the comic, some tiles, like \"FRANK LLOYD WRIGHT\" are 3 squares wide, and some, like \"PRINCE\" are only one square wide. For simplicity, I chose to have all my tiles be 2 squares wide, but I still want `'LLOYD'` to match the first name of `('FRANK LLOYD', 'WRIGHT')`. To accomplish this, the second argument to `synonyms` is a list of tiles; the function will go through these and add synset entries for parts of first names,\n", + "so that both `'FRANK'` and `'LLOYD'` will match `'FRANK LLOYD'`. As for \"PRINCE\", he gets represented as the tile `('', 'PRINCE')`. " ] }, { "cell_type": "code", "execution_count": 10, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "import collections\n", "\n", "def synonyms(text, tiles=()): \n", - " \"synonyms('a=A, b=B') => dict(a={'a', 'A'}, A={'a', 'A'}, b={'b', 'B'}, B={'b', 'B'}\"\n", + " \"synonyms('AMY=AIMEE') => dict(AMY={'AMY', 'AIMEE'}, AIMEE={'AMY', 'AIMEE'})\"\n", " synsets = collections.defaultdict(set)\n", " # Process `text`\n", - " for text1 in text.split(','):\n", + " for text1 in text.upper().split(','):\n", " synset = set(text1.strip().split('='))\n", " for s in synset:\n", " synsets[s] |= synset\n", @@ -644,33 +377,38 @@ " synsets[first].add(piece)\n", " return synsets\n", "\n", - "def legal(value, loc, board):\n", - " \"Is it legal to place this value on this location on board?\"\n", - " return (board.get(loc) is empty and\n", - " all(legal_match(value, board.get(nbr)) for nbr in neighbors(loc)))\n", - "\n", - "def legal_match(value, nbrval):\n", - " \"Does this value match the neighbor's value?\"\n", - " return (nbrval in (empty, border) or \n", - " nbrval == value != '' or\n", - " nbrval in synsets[value])" + "synsets = synonyms(\"\"\"AMY=AIMEE, COOK=COOKE=COOKIE=COKIE, ALASTAIR=ALISTAIR, \n", + " COLUMBO=COLUMBUS, SAFIRE=SAPPHIRE=GARNET, GARNET=RUBY, CHARLIE=CHARLES, SEAN=SHAWN,\n", + " JIMMY=JAMES, MAN=MANN, JACK=JOHN, TOM=TOMMY, WILL=WILLIAM=WILLIAMS, ROBERT=ROBERTS=BOB, \n", + " CAM=CAMERON, OLIVER=OLIVIA, EDWARD=EDWARDS, RICH=RICHARD, CHRIS=CHRISTOPHER=TOPHER, \n", + " FAT=FATS=FATTY, WALT=WALTER, HANK=HANKS\"\"\", xkcdtiles)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "To make this work, I update `legal` to call the new function `match_neighbor` for each neighbor; this checks for empties, borders, and exact matches just like before, but it also consults the `synsets` global variable for an approximate or partial match, and it disallows a match between two empty values, so you can't match the empty first name of \"PRINCE\" with the empty first name of \"DRAKE\"." ] }, { "cell_type": "code", "execution_count": 11, - "metadata": { - "collapsed": true - }, + "metadata": {}, "outputs": [], "source": [ - "synsets = synonyms(\"\"\"\n", - " Amy=Aimee, Cook=Cooke=Cookie=Cokie, Alastair=Alistair, Columbo=Columbus, \n", - " Safire=Sapphire=Garnet, Garnet=Ruby, Charlie=Charles, Sean=Shawn, \n", - " Jimmy=James, Man=Mann, Jack=John, Tom=Tommy, Will=William=Williams, \n", - " Robert=Roberts=Bob, Cam=Cameron, Oliver=Olivia, Edward=Edwards, \n", - " Rich=Richard, Chris=Christopher=Topher, Fat=Fats=Fatty\n", - " \"\"\", tiles1970)" + "def legal(value, loc, board):\n", + " \"Is it legal to place this value on this location on board?\"\n", + " return (board.get(loc) is empty and\n", + " all(match_neighbor(value, board.get(nbr)) for nbr in neighbors(loc)))\n", + "\n", + "def match_neighbor(value, nbrval):\n", + " \"Does this value match the neighbor's value?\"\n", + " return (nbrval in (empty, border) or \n", + " nbrval == value != '' or\n", + " nbrval in synsets[value])" ] }, { @@ -679,34 +417,39 @@ "source": [ "# Random Restart\n", "\n", - "The program sometimes gets stuck before it has placed enough tiles. I could modify the program to *back up* in this case, but it will be easier to just *give up* and restart with an empty board. I can restart multiple times, and take the board on which the most tiles were placed. The function `restart_dominoes` does this." + "The program sometimes gets stuck after placing a relatively small number of tiles. I could modify the program to *back up* in this case, but it will be easier to just *give up* and restart with an empty board. I can restart multiple times, and accept the board on which the most tiles were placed. The function `restart_dominoes` does this. " ] }, { "cell_type": "code", "execution_count": 12, - "metadata": { - "collapsed": true - }, + "metadata": {}, "outputs": [], "source": [ - "def restart_dominoes(tiles, width=16, height=24, repeat=50):\n", - " return max((dominoes(tiles, width, height) for _ in range(repeat)), \n", + "def restart_dominoes(tiles, width=16, height=24, restarts=100):\n", + " return max((dominoes(tiles, width, height) for _ in range(restarts)), \n", " key=lambda board: len(board.boxes))" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Final Results\n", + "\n", + "Let's see what we can generate, and compare it to the original comic. *Note:* By default, I'm using a 16×24 square board; the xkcd comic uses 27×35, but if I try to fit that many then each tile will be smaller, and the names overflow the sides of the dominoes too much. (As it is, only a few names, like \"OLIVIA NEWTON JOHN\" overflow.)" + ] + }, { "cell_type": "code", - "execution_count": 16, - "metadata": { - "collapsed": false - }, + "execution_count": 13, + "metadata": {}, "outputs": [ { "data": { - "image/png": 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Fz2qzjncAa+hud5+00P0I0xOTnAP8G3BdaxfOAL6U5Kd0t+QA3ELXcTs1yWHt\nh1gWgtCN4l6V5Et03+Vd0LcRbsCQ6rKQjO1zraqz0v1uwkV0s4vvqqpvtAGbByX538B/bMLr3Jnk\nBODCJD+m69hdCPwN8Paq+j/3Jr6NGNLxdViSJ00r+wJwYpK/BdYCJyR5Il1fhapal+T7bZan6JL9\nk/sLeZhm6UueSjerfxndtWNDzgc+AfjLreN1GfBeuh/xmtoHHwXOSPIKuv7I7cBMv/FyJvCXSda0\nf78PeHi6/w1gGfDO+Qx8IYuDJeu1xpQ2srdoDaUeWpg8vmaW5AhgWVWdNKH3vwWgquZ0y9+k69Fi\nGERdhnSujNZlvj7XJM+iG6h5/sgt7ON4zcdU1btHygZxfA3JUM+VCb3/FsA5VTXnu4UmXZdxma96\nTN3h1AbCzgKOal8XmDdD2SdTnBGVpDlKcgjdTO0LJh3LXAylHjCsuiwk8/m5VtXZdLcljkWSFwD/\ng+52xrHy+NJClO7/fT0D+PCkY1kiltHdobU1cN58J6FDZCIqSXNUVacDp086jrkaSj1gWHVZSBbT\n51pVZ9B1yufjtRfN56Clo6r+E9hn0nEsFe3HBp826TgWM3+sSJIkSZLUKxNRSZIkSVKvTEQlSZIk\nSb0yEZUkSZIk9cpEVJIkSZLUKxNRSZIkSVKvTEQlSZIkSb0yEZUkSZIk9cpEVJIkSZLUKxNRSZIk\nSVKvTEQlSZIkSb3actIBaF7sAuycZO2kAxmT06rq5EkHMVdJjgIOnXQcY7A3wICOr6HYFgazX5YB\nt046iDEYUlu8Arhx0kGMyZDOlV2AnScdxBgsA66adBCS+uWM6DDtTNeoD8EKhpG8QVePFZMOQloE\nbmUYSc+Q2uJlDCPhGZohHWOSlhhnRIfr1qpaOekg5mogI9aj1i32/TK1TxZ7PbRwDey8H0pbfMuk\nYxijC2EYbdhQ2uOBnfOSNpEzopIkSZKkXpmISpIkSZJ6ZSIqSZIkSeqViagkSZIkqVcmopIkSZKk\nXpmISpIkSZJ6ZSIqSZIkSeqViagkSZIkqVcmopIkSZKkXpmISpIkSZJ6ZSIqSZIkSeqViagkSZIk\nqVcmopIkSZKkXpmISpIkSZJ6ZSIqSZIkSeqViagkSZIkqVcmopIkSZKkXpmISpIkSZJ6ZSIqSZIk\nSeqViagkSZIkqVcmopIkSZKkXpmISpIkSZJ6ZSIqSZIkSeqViagkSZIkqVcmopIkSZKkXpmISpIk\nSZJ6ZSJX5T2PAAAgAElEQVQqSZIkSeqViegYJFmZ5O2TjmNj+oozyaokVyZZ2x5P2MTnXTLfsS1k\n87l/kjw/yfbz8drSQpHkO0leMkP52gmEMyfWRX2Zfu1J8v72967rRtvm4W15VZIjJxPtMLXP95qR\nftPHkmyxCc/75STH9hHjUjbDOXJKkkfOsJ3nxmYyEdV8eXdVrWyPyza2cRKPxfn1fMBEVIOVZHfg\nEuA5k45lrqyLJqmqXtcWR68bK4GHTySgpWP1SL/pFVV1x4Y2ThLgxqr6057ik8bOzv8YJfl0kguT\nnJtkm1b2zSSntr8vTXJWkq8leUhbf2SSi9vjcUm2b6NhFyT5y6HEmWRFe8+vJHlTK1uV5PQkZwG7\nzUddF7Mkf9E+s4uT7NrKvpzkI0nWJTmglf1OK3/n1AxDko+3517QnnsA8Mkkb0yya5I1SS5NcnTb\n/vgkn0hyXpKPTqjK0lwcDJwI3D/JfZM8u7VhHwO2AkjyitZuXZ7kma3slCQntfPh7Uk+0J73W239\nO5Jc0s6lB1mXJV2XJaF9rqPXjaOBVcB7krxn2rbHtX23Jsny3oMdqPaZbrmB6/XHgC8Aj09yaiuf\nqX9wj36ExuZ+ST7V9s/pSbYaXTn93GiPi5OckZH+9VJnIjpeq6pqb+DTwCGtbCfgSOBVwBvpRoXf\nA7w4yQOB5wJPB54HHAfsAaytqn2A1y/iON+Y9beY7ApcCaysqicCz0hyv7bdLVV1UFWtm5eaLm7H\ntP30J3T7BbrR6WOBg4BXJdmSroPwFOAzAK0xfEh77r5VdS1wDnBYVb0bOBp4S1U9BdhnpBP39ara\nH9g1yXa91FAanz2q6qt0x/r+wDHA3nTt1c5tm9OraiWwH/AHI889t50PLwL+Cngy8Mq27inA01tb\nd8N8V6KxLp2FVpclY9p1453AKcAbquoNU9sk2Q14cNt3r6Xbt7r3jmh9po+NlM12vf52VT0TuHlk\n27v1D1rZTP0I3TtT+2ct3SDNSuDMqtoXWAu8cGrDDZwby+jasz8HXtBX4AvZlpMOYEC2AN6d5LHA\nNsBnW/l3q+pnSa4H/qWq7mzLj6K7zWV34IKR17kI2DvJJ+kuAqsXaZzvrqq7ZtaSPJpuNPX+wK/S\nJb4AXxtv9QblD5PsRzdr8C+t7OaqugmgJYsPBK6tqjuSrAOoqtvTzYieClyT5I+nve4jgH9sy+uA\nh7Xlb7W/1wPbArfMR6WkcUv3XZ3HJjkHuC/wbeDOqroVuDXJVGftN5K8Hgjr2yBYf+zfAHyrnUPV\nyt4FfDzJf9B18n5sXZZeXTSjXwNWZv13fR0QmJvVVfVmuNv3p2e7Xs/Ud5reP4CZ+xG6d0b3zynA\ngcAOSV4F/ALwKeAHbdvZzo0rWv/6OuAe3zFdipwRHZ8VwC9W1dOBD9JdUAFqZJvR5QDfA7469Z0A\n4BnAFlV1XFUdBryB8ZtUnK8G3tlG5r478r533uuaDFiSHehmkJ8G/DEz76cA/xf4lXTfsd2tPXcL\n4FNVdTiwI7AXcDvdIATAVcCebXkP4OpZXltaLA4GjqyqA9oM2S7Alkl+sd3+tGPb7hi6zsPzuHvb\nM1v7B7Cmqo4AbgKePS/R3511WW8h1WUpGr1ujC5P+TbdrPVU3+BlPca2VMx2vZ6p73S3a/gG+hEa\njy8A72rH/5PovoIwZbZzw37WNM6IjkeAK4AntpHffwOu29iTqurmdN/FvAi4A1gDXJjkHXSjV+ct\n4jjfmOTwtvynwFnAB5JcAdw296oM1mFJnkQ3SPT4JGuAf5pt46r6eZKPA18C/oGus/BLwJktIf0h\n8E26BvPEJH/L+pmErYHPV9V1ie2hFrWDgPeP/PsK4Kd0d278I/D9Vv73rewyNn3G/3MjXyV40dxD\n3Sjrsmn6rsvQTV17Ro1eN9YCJyR5InAtQFWtS/L9NutTdDNCJ/cX8pIwl+v1f9HdebDBfoTutTXA\n0UleQ9e/vuvW9FnOjXMnEuUCl6rpg4xL19QUehu92JznHQEsq6qT5iGszZbkFoCq2m5a+YKKc1Pc\n232yEM1XXZJs2RLSJwK/VVXz+j2QIe0TLUxDOcZma4sXo4HVZS0s/uMLhlOXodQDrMtCNJR6wLDq\nAs6IzlmSQ4CjWOBfOl4scepeeV2S5wNbAy+fdDCSJEnSxpiIzlFVnQ6cPuk4NmaxxKnNV1XvBd47\n6TgkSZKkTeWPFUmSJEmSemUiKkmSJEnqlYmoJEmSJKlXJqKSJEmSpF6ZiEqSJEmSemUiKkmSJEnq\nlYmoJEmSJKlXJqKSJEmSpF6ZiEqSJEmSemUiKkmSJEnqlYmoJEmSJKlXW046gAVmb4Akayccx1wt\nA26ddBAarF2AnQdwnkBXF4AbJhqFprMtXni2hUHsE4AVwLpJB6HBGkr7BfAE4LYB1GVqn9wy6UDG\nYBlw1aSDGBcT0WG6Fbhx0kFosHamawiH4BHtr4mo5oNt8cK0Djht0kFIi8BtwNaTDkLDZSI6oqoy\n6RjGYQAjV1r4bq2qlZMOYq6mRkeHUJchmWrDFvt+GVhbfCEs/n0izbeh9CVhOG3xkAzsuuJ3RCVJ\nkiRJ/TIRlSRJkiT1ykRUkiRJktQrE1FJkiRJUq9MRCVJkiRJvTIRlSRJkiT1ykRUkiRJktQrE1FJ\nkiRJUq9MRCVJkiRJvTIRlSRJkiT1ykRUkiRJktQrE1FJkiRJUq9MRCVJkiRJvTIRlSRJkiT1ykRU\nkiRJktQrE1FJkiRJUq9MRCVJkiRJvTIRlSRJkiT1ykRUkiRJktQrE1FJkiRJUq9MRCVJkiRJvTIR\nlSRJkiT1ykRUkiRJktQrE1FJkiRJUq9MRCVJkiRJvTIRlSRJkiT1ykRUkiRJktQrE1FtVJKVSa5J\nckGSLybZYdIxLQXtc3/7yL9PSfLIe/PcSRpKPWBYdZnNhuJMcknf8Wi9JN9J8pJJx6HFL8k2Sc5K\nsjbJl5M8PsnBc3zN5yfZflwxavFIsm07ltYm+UH7+7Ek+086tnHY1Gt/klVJjuw3usXNRFSbanVV\n7QN8HHjppIORpKUkye7AJcBzJh2LBuFlwGeqaiXwVOD/Afc6EU1yH+D5gInoElRVP6iqle14+mb7\ne81ko9JiYCKqzbUdQJJjklyY5CtJ9kiyS5LT27otk6yZbJiDdfzUCGMbkVueZIc2W312ks8lWdm2\n3TPJ55NcmmRZOiclWdNGwh+Q5MltH16Q5JXWY8nX5S5Jjm5xrkmyayveNslpSb6RZEXb7pvTyzQv\nDgZOBO6f5L5txuHPklye5PeSnNr2wW/YHmsT/AT49SQPrKqf0w0wP6MdV3slORXumgk6vi1/ul33\nz02yTSv7Rtv2zcABwCeTvHEiNdJC9LIk5yX5KECSXds15dIkR7ey45N8om338SR/nG6W/ri2/oB2\nXF6e5GWt7LVtmwuSPG5Cdbtfkk+1+pyeZKvRlUmOa3Gvaf2C5UkuTnJGkq8leciE4l5Qtpx0AFo0\njkhyAHB/4NeB26vqhHS3JvxJVR2W5P5Jfgl4MnDeJIMdkCOSPLUt/xozf65HAh+uqr9J8r9Hym+r\nquclORbYD7gTuLaqXp3kQOB36Pbn0VW1NkmsxyYZUl1m88vAXlX1lFbXY4BXAzsBvwXsCbwcWDdL\nmcZvj6p6S5JzgKnb3T4JHAtcDzwa2AL4UFU91/ZYG7EaeAhwQZIb6RLJXavq8CTLZ3nOqqr6Sbpb\nDw8BPtJe48lV9eMkDwfeXlXfnf/wtUh8vape1gYvtgOOBt5SVRcnOSfJ6unbAf+rqt6W5HLgrcBF\nVXVOki2BC4FPAM8D9qmqn/Z4nZx+7f8acGZVfSrJq4EXTm2YZDfgwVW1Msmj6K6hJwDLgL3pBn5e\nAPxFT7EvWM6IalOtrqrHA5cBu9KdkBcBHwUe1Lb5DF3jcAjwNxOJcnhWj9zucg7wnZF1U43vw4B/\nasujScC32t/r6GayHwW8JMlaus7r9sBJwIvbiPZe81GBZij1gGHVZTbLWR//5cDUd2G+W1U/Y338\ns5VpjNqA32NbEvoS4Llt1beq6v8B/6eqbqyq64EHtHW2x5pVVd1eVW+tqscCfwX8/ujqkeUAJNkC\neHe77v8u66/7V1bVj/uIWYvS1DXvemBb4BHAP7aydXTXyunbTS3f2o67PZOcB5xPN+AG8BbgpCQn\n0w2G9mH6tf9A4Pfb9fvl0+L4NWBlW3cSsE0rv6Kq7sTr5V2cEdXmOgE4nq4x2IOuUflIW3cG3Qj9\nVlX1rxOJbvh+DOzSRgAf08q+BzwWuALYDfhCK5/embgS+ERVvQeg3UayZVW9JsmD6DojB85/FYDh\n1AOGVZcpVwO7t+XHA1e15Xt0UGcp03gdDBxZVecDJDmTbiB56rOfaR/YHmtWSR4KXF9VtwM3AT+i\nm60B+AHdXRHQtWMAK4BfrKqnJ/lt4MGt/M6Rl72dblZemjK9bbqK7u6Zi+j6kO+fYbvpz/lDuruM\nrgO+3crXVdWqJIcCq4B3jj3yjfsC8O9VdQbcdf0+rK37NnBuVb1uZN2D8Xp5Dyai2ixVdWWSHelm\nRi9qj6l1P0zyM7wNbD5dBryX7kchbmllHwXOSPIK4A66zsBWMzz3TOAvs/77Yu8DHp7ulxKX0W9D\nPpR6wLDqAt3F8TrgqiRfAm6jG+3V5BzE+g4bdAMcR2/oCbbH2ogVwKeT/JSufToSODnJ3wFHAdcm\nOZ8ucbiebtDskW1W/t/o2ojpvgCcmORvq+pDfVRCi867gI8n2Rr4fFVdtwl31n4W+BzdDOrUNfZD\nSR4G3Bd4xXwFuxFrgKOTvIbuunnM1IqqWpfk+21GtIBPAedOJMoFLlW18a20qLQDn3b7QN/vfRrw\nhqq6YUyvtxYmU5dxm6+6pPu1QqrqziRnAUdV1UydhHG93y3t/cZ6W0nf9WjvOZi6jEuSI4BlVXXS\nBGNYC4v/vJ90PcbZHk+6LprZUPbLUOoxNO6XhWdo+8QZUY1Nu1f/pnElodpky4Cz2gjjeYsl4ZnB\nUOoBi7QuSQ6hmw15waRj0dzYHkuSFjoTUY1NVR016RiWoqr6IfC0SccxV0OpByzeulTV6cDpk45D\nc2d7LEla6PzVXEmSJElSr0xEJUmSJEm9MhGVJEmSJPXKRFSSJEmS1CsTUUmSJElSr0xEJUmSJEm9\nMhGVJEmSJPXKRFSSJEmS1CsTUUmSJElSr0xEJUmSJEm92nLSASwkSY4CDp10HGOwN0CSWyYdyBgs\nA25NsnbSgYzB1H5ZO+E45moZcOukgxiTbWEQ+2RongDcNoD9MrS2+KpJB6F7GMp1ZQWwbtJB6B6G\ncnztAuw86SDGZFBtsTOid3coXWOoheNW4MZJB6G7cZ9ovt0GbD3pICT1Zh1w2qSD0GDtTJfAaYFx\nRvSe1lXVykkHMRdTo+9Vtd2kY9F6UyOKAzi+1k46hjG6EBb/PhmaoZwrQzKw834wqiqTjkHDNZTj\na0jXlKG1xc6ISpIkSZJ6ZSIqSZIkSeqViagkSZIkqVcmopIkSZKkXpmISpIkSZJ6ZSIqSZIkSeqV\niagkSZIkqVcmopIkSZKkXpmISpIkSZJ6ZSIqSZIkSeqViagkSZIkqVcmopIkSZKkXpmISpIkSZJ6\nZSIqSZIkSeqViagkSZIkqVcmopIkSZKkXpmISpIkSZJ6ZSIqSZIkSeqViagkSZIkqVcmopIkSZKk\nXpmISpIkSZJ6ZSIqSZIkSeqViagkSZIkqVcmopIkSZKkXpmISpIkSZJ6ZSIqSZIkSeqViagkSZIk\nqVcmovMkycok1yS5IMkXk+ww6ZjurcVYl5GY1yb5XJJf2Mj2y5Oc2ld8i1WS/YAVwIokn02yQ5JT\nkjxyM19nZZK334v3X5XkyrZf1yZ5wua+hoavHV8/T7JT+/deSSrJ8slGtnmSfCfJS9ry+5JsMemY\nJGmpmd5nma3f0/ooR/Yb3eJmIjq/VlfVPsDHgZdOOpg5Wox1WV1VK4EvAS+cbaMkAbK5L55kSZ0/\nSXYEjgO+CawDjga2vhevM9fP7d1VtbI9Lpvja2m41gHPa8u/CVw+wVg2W5LdgUuA5wBU1e9X1R2T\njUqSpPFZUh3pCdoOIMkxSS5M8pUkeyTZJcnpbd2WSdZMNsxNshjrsg54SJtBuzzJywCSHJ/kY8AX\ngAe2sq2SnJZk7yT3S/KpJGuSnN7WrWrLZwG7Ta5KE/EsYDVwB0BVfbuqbmjr/iDJJUneApDkFSOf\n9zNb2SlJPgCcM/qiSY5McnF7PC7J9u25FyT5y40FleTzSbZty+9J8oQNvP+HRuMEHgbs0d7rQXP/\niLSArAH2a8uPAf4Z2G6k3XoT3DWCfUaSs9sjM5VNIP6DgROB+ye5bzuet2zt1ieSnJfk40n+OMmX\nkxzX6rNjkjPbMX3ibGWSpDm5Rx9xdGWS41q7vSbdXXfLWz/njCRfS/KQSQW+kJiIzq8jklwOvIau\nA/8XVbU3cBjwB60Tf/8kv0TXYTpvcqFu1GKuy9OBa9vs6JOAV42s+3ZVPRO4GdgKOAU4uaouBI4E\nzqyqfYG1rJ9VvaWqDqqqdf2Ev2DsAtwwy7ovVNVT6ZJVgNPb570f8Acj213aPm8AkjwQeC7dPnoe\n3YzrHsDaNgP/+hne641Zf2vursDn22sA7NlmSWd7/+lxbgt8vb3XbHXT4nQb8LMkTwL+pZX9P2Bl\nVT0ReEaS+7Xyf6+qZwHXsX6AaaayPu1RVV+lG7jZf9q6r1fV/nTn5Leq6kmsPwf+CDihHdM/SvLr\ns5RJkjbdEVN9D+AAYCUz9xFJshvw4NYPeS1wTFu1DHgR8OfAC/oKfCHbctIBDNzqqnpzklOAXYEn\nJzkMuBOots1n6Drg+wKb/Z25Hi3GuhyR5CnAFcB1Sc6jSzYfPbLN10aWn06XqKxt/34UsGeSVwG/\nAHwK+MG05ywlNwCzzRp+q/39afv7G0leT3fL804j203/7B4O7A5cMFJ2EbB3kk/SdcJXT3vOu6vq\no1P/SPJZ4ENJrgD+cSPvPz3Oa4FfS/I+4Fjgx7PUT4vT2cCHgKPoBtECnJ3k/sCvsv7YmDourqPd\n9TFLWS/SfffosUnOAe4LfHvaJlOxXT+yfGu675A+Cvj/khRdp+eyWcokSZtudVW9Gbo7rIADgR1m\n6CMC/BqwsiWtsH6g+4qqujPJdcBm/bbGUJmI9uME4Hi6BGgP4BHAR9q6M4BPAltV1b9OJLrNs5jq\nMtpofJ5uhvM67t6pu3Nk+Xzg2iSvq6r3A1cC51fVGe01tqKbAR59zlJyNvB3dHdS3NE6y1OJW03b\n9hhgb7pO9KUj5dM/u+8BX62qF8Jdn/EWVTV1m+E67pmI3k1V3Zzux6hW0V0INvT+0+O8BfhP4Cbg\n2cDpG3ovLTpnA78BfLX9+53AO6tqbZJLWP/d8NHjYkNlfTkYOLKqzgdIciZ3v4OpZlkOXbt1alV9\nrT13S+CpM5RJku69L9DdOTO9jwhdP/PcqnrdyLoHM9nryoLkxagHVXVluh96uYxutueikXU/TPIz\nFtatrLNaxHX5LPA5uu+L3jLbRlV1XJIT0/1S5cnAR5JMzaQcM9vzloKW8L2NLhkF+DPglbNs/vd0\nx8ZlbPjzvjnJWUkuovvu6RrgwiTvoJu9nulYemOSw9vyn1bVF4Gz6H486fc25/2B/07Xwd+C7nYZ\nDUhV3Uo7RtvXPM8CPtBmz2+bYGgbcxDw/pF/X0F3fG+KdwAnp/ve9J10A3AzlV09tmglaelZAxw9\nUx+xqtYl+X6bES26QfJzJxLlApeq6RMES9fUFHq7p7vP9z0NeMPID7/M9fVuAaiqXm8na+891roM\nyaSOr3EbSj1gWHUZEvfLwuM+kbRYDan9GlJdwB8rmrgkJwM3DSFxG1JdJEmSJM0fb82dsKo6atIx\njMuQ6iJJkiRp/jgjKkmSJEnqlYmoJEmSJKlXJqKSJEmSpF6ZiEqSJEmSemUiKkmSJEnqlYmoJEmS\nJKlXJqKSJEmSpF6ZiEqSJEmSemUiKkmSJEnqlYmoJEmSJKlXJqKSJEmSpF5tOekANC+2BUiydsJx\njMMuwM6TDmJMlgG3DmC/7A2Q5JZJBzIGQ9kn0J0rADdMNIrxGNIxdiPD2CcrgHWTDmIckhwFHDrp\nOHQPp1XVyZMOQlJ/nBHVQrczXbIwBLfSdUq1cAxpnzyiPbRwLGM4A2nrgNMmHcSYHEqXWGvhWIGD\nA9KS44zoMF0IUFUrJxzHnE3NVA2hLkMxNUtVVdtNOhatN7JfVk44FP3/7N17uCVVfef/94erCAFU\nLqIMoiE/B42hEcELCi2IOniPTgwgBiNqdCY/MxMvQQki4oUoiVd0kBhMIwgJRlEIGoGmAYUGpPGC\nghpFRYIkGYQWFbC/80etQ+8+nG76ck7tc+q8X89znq5du3bVd+1atWp9a1Xtbmy/ZrVl7pfZYyB3\npUhaR46ISpIkSZJ6ZSIqSZIkSeqViagkSZIkqVcmopIkSZKkXpmISpIkSZJ6ZSIqSZIkSeqViagk\nSZIkqVcmopIkSZKkXpmISpIkSZJ6ZSIqSZIkSeqViagkSZIkqVcmopIkSZKkXpmISpIkSZJ6ZSIq\nSZIkSeqViagkSZIkqVcmopIkSZKkXpmISpIkSZJ6ZSIqSZIkSeqViagkSZIkqVcmopIkSZKkXpmI\nSpIkSZJ6ZSIqSZIkSeqViagkSZIkqVcmopIkSZKkXpmISpIkSZJ6ZSIqSZIkSeqViagkSZIkqVcm\nohsoycIkNya5KMm/JHnIOnzu+OlaTqsa2S+Lk3wuyQPuZ/ldk5zWV3xrK8mBrQxLkvxTks8n2W0d\n13FvHUryoZmJ9H5jmNZyzFbr2x7MNgMrxz1Jdmiv905SSXYdb2Saqya3Q0lOXde2bDaYC+2pNNts\nyPGfZEGSx89cdHOTiej0WFRVTwc+CRwy7mB0r0VVtRD4CvCS1S2UJEDWdeVJZvT4SbI9cAzwvKra\nD3gzsNk6rmOVGKvqT6cvwrWOYdrLMcsNpT0YSjmWAS9o0y8CrhpjLBIw59o0SRtuAWAiOokN4fTa\nFiDJUUkuTnJFkj3bvH2TXNZGhV7alt+rjQxdlmSrdD6a5MIk5yZ50NhKMizLgJ3bd39VkpcDJDk2\nyd8BXwS2a/M2TXJ6kv2TbJHkjLY/zmzvHdGmzwV+b4bjPpguGbgDoKpuAG4G3pDk0iRvazG/YqRs\nz2zzTk3yYeD80RUmubT9+8T2mcuSvGIOluPIJJe0v8cneXD77EVJPjjD5VlbU7YHSXZKcmZ7b5Mk\nF443zPs118txIXBgm34s8C1g25GyvAWgHdtnJzmv/a3zxSnNW6s7V6xSnyadP96Y5H/CvSMl47pb\n5ax2LHwpydZt3jeSnNb+PaT1R65OsnN7fy60v1Jfjk3yDLi3z7Lras4nr6Y77j813nBnFxPR6XF4\nkquA1wGLgA9U1f7AYcAb2jLvBl7QRuj+oc27q6qeB5xH11F6LvCjqjoA+DDwJ/0VYdD2o/teFwJP\nAl4z8t4NVfVM4FZgU+BU4OSquhg4Ejin7Y/FrBxVva2qnlNVy2Y47p3oErbJvlhVT6VL8ADObGU7\nkJX1DeCyVrapHAc8H3gqcFiSdRqhXEfTWo4k29HFvh/dSNcxwJ7A4jaC9/ppL8G6WWN7UFU3Aw9M\n8lt0Zf3y+EJdo6GU4y7gV0meBHy7zfs1sLCqnggclGSLNv8nVXUwcBMzf6FJc9fhLfFaDDwbWMjU\n54qp6tNtVfUc4IOsbPteCpzRT+j3cUQ7rs9qcQDsQHf+ew3wRuB5wInAH8yB9leaaZOP/9WZfPyf\nDLy3qg7rIcY5Y5NxBzAQi6rq6CSnArsAT0lyGLACqLZMqurfAapqRbvY/s323k10ow47An+Y5Fl0\n++ar/RVhkA5Psi9wHXBTki/TJZuPGVnm6pHp/eiSo8Xt9e50o9avAR5A11H4+aTPzKSbgYdNMX+i\n3vyy/fusJK+nu714h5Hl1hTnHsA5bXo7YHu6ejgTprscj6KL/6KReUuA/duVxvPpEqdxWZv24DN0\nnbgDgNn6nNZQygHdxb6P0V2Rfh1dHTsvyQOBR7Oyvk1uk6WpLKqqo6EbAQH+G/CQKc4VU9WnqwGq\n6pdJfpZkF+CJwFv6C/9eGwPvTfI4YGvgn9r871XVr5L8FPh267P8lO6cONvbX2mmTT7+fzDy3uid\nNJ5P1oKJ6PR6N3AsXaKzJ/DbwMfbe5XkIVX1H1n5bEiNfDbA9cDfV9WJ0N0mCuzbR+ADNdpYfJ7u\nCu9NwA0jy6wYmb4A+FGSP62qD9Htjwuq6uy2jk3pRoNGPzOTzgP+Mcmnq+qOdA/E78Sq9QbgKGB/\nYHPgspH5a4rzGuAlVfWLJJtW1d3TGfgk012OHwBXVtVL4N79snFVHdNeL2N2dITW1B6cDXwK2LSq\n/nUs0a29IZTjPOBZwJXt9QnACVW1ON3t6hOdh8ltsrQ2vkg3+jH5XDFVfRptz06nG2lcWlWT28M+\nLABuqar9krwKeHibPxrL5DLMlfZX6ssvgJ3a7bePHZk/+di5m65/oxEmotOoqq5P98MsS+muEC4Z\nefso4PNJfk13Zf6WKVZxDvDBkWet3g/cPoMhzyf/BHyO7nnR21a3UFUdk+SkJH9IdxvFx5NMjKAc\n1UukK2O5Nck7gC+0Bu4/6W4znOwLdHVtKWso2yRvo6uPE+t98TSEPKXpLkdb37lJlgC/oXsG8OIk\n76Ib8Z4Vt4iuqT2oqtuT/IpZEuuaDKEcVbUceCVAuxvlXODDSa5j6roorYsLgTevx7niAuDvGc/d\nBKG7W+iJSc4Hfsxa3BUzV9pfqUdLgb8BXsia+2CXA6cm+d1x/HDkbJXxXISbndr93rTn1OasoZQD\nhlWWoUhyG0BVeavJBkhyOvDn7VnL6VjfWPbLdJdjSGy/ZqfZsl+SbAycX1UHjWHbhwNbVdVH+972\nVEk2PMIAACAASURBVGbLPtEwDal+Daks4I8VSVLvkpwM/GyuJ29DKYfUtyQPphs9/NsxbPuldM9L\nn933tiVplLfmSlLPqurV445hOgylHFLfquo/gaePadtnAmeOY9uSNMoRUUmSJElSr0xEJUmSJEm9\nMhGVJEmSJPXKRFSSJEmS1CsTUUmSJElSr0xEJUmSJEm9MhGVJEmSJPXKRFSSJEmS1CsTUUmSJElS\nr0xEJUmSJEm9MhGVJEmSJPUqVTXuGGaNJBNfxsVjDWTDLQCWVdXCcQeyoQa0T4Zk//av+2R2GdJ+\n2QnYcdxBTIPfAn4NLB13IFqFx8rssxWwHFg27kCmyelVdfK4g1BnpC/587EGMj22Ar5fVY8edyDT\nwRHRYVoGnD7uICRpPe1Id7Kd6zYCNh93EBq0oRwry4Fbxh3ENFkAHDruIKS5YJNxBzCbVFXGHYNW\n5T6R5p8kiwHm+l0dSW6DuV+OoRlK/YJhlWUoJvaJZpWLYRjHydDqlyOikiRJkqRemYhKkiRJknpl\nIipJkiRJ6pWJqCRJkiSpVyaikiRJkqRemYhKkiRJknplIipJkiRJ6pWJqCRJkiSpVyaikiRJkqRe\nmYhKkiRJknplIipJkiRJ6pWJqCRJkiSpVyaikiRJkqRemYhKkiRJknplIipJkiRJ6pWJqCRJkiSp\nVyaikiRJkqRemYhKkiRJknplIipJkiRJ6pWJqCRJkiSpVyaikiRJkqRemYhKkiRJknplIipJkiRJ\n6pWJqCRJkiSpVyaikiRJkqRemYhKkiRJknplIipJkiRJ6pWJqCRpkJIsTHJPkh3a672TVJJdxxvZ\nuhtSWeDe8tyYZHGSy5LsvprljkhiX2Wate//+HHHMZ2SfDLJY9r0SUmOa9MHJDlxiuUXJHl8m941\nyQH9Rqy5ZvJxk+TUJLut5WfvrW9aycZdkjRky4AXtOkXAVeNMZYNNaSyACyqqoXAG4E/Wc0yR2Bf\nRWvnSmDvNr01sEub3htYOsXyC4CJxGBXwERUM2m0vqmxcZckDdmFwIFt+rHAt4Btk1yc5Iokb4F7\nR97OTnJe+8u4Al6DIZVl1NbA7UmOGinLnkn2oeu8XZDk8DHHOEhJzmrf+ZeSbN3mfSPJae3fQ5Kc\nm+TqJDu3949Mckn7e3ySB7eR7YuSfHCMxVkK7JNkM+AuVvZx9wZumHycAK8G3pjkU2368CQX9B61\n5rpjkzwD7h0h3XU1bfBofVNjIipJGrK7gF8leRLw7Tbv18DCqnoicFCSLdr8n1TVwcBNwO/1H+r9\nGlJZoOv4LwH+DjgL+EBV7Q8cBryhqpbSjQIfWFWLxhjnkB3RvvOzgJe2eTsARwKvoRutfh5wIvAH\nSbYDng/sRzc6fwywJ7C4qp4OvL7f8FexDNij/V0L/Kjdur4r8B3ue5ycDLy3qg5r04uq6sAp1iuN\nOrxdeFkMPHsNy01ug0frmxoTUUnS0J0HfAz4THsd4LwkFwO703W8Ab7Z/r0J2LbXCNfekMqyqKr2\noxv1fBcrE9NTgIeNNbL5YWPgve07/5+s/M6/V1W/An4KfLuqVrTpBwGPokv0LqKrg9sCS4CN2kjP\ny/otwkpVdVebfArdbetXAQcDtwCPZOrjRFpXi6pqYXus4HzguyPvjd59Mhfa4LEzEZUkDd15wNV0\nz5ABnACc0EaCvsfKzkONfGa23s46pLJMuIPu9tzXAQuBV7Ey5rvpEiZNvwXAlu1iwEeYuu5Mrkc/\nAK4c6YgfBGxcVce0kZ4/n/mw1+hauueKr6E7Tl5Ld6y8lvseJ6N1y3qm9fULYKd2++1jR+ZPPnas\nY1MwEZUkDVpVLa+qV1bVRMfgXODDSc6iu911zhhSWWi3uNE9+/peumf8lgCvGFnmXOCzSV7cf3iD\nFuA6YLck5wP7rM2HqupW4NwkS5JcBPwF3XOZlya5AvjyjEW8dpbSJcZ3VtWP6UY+lzL1cXI58LIk\nH6Ibvdo3yZnjCFpz2lLgz4B/BG5bw3Kj9U1NVp7LJEkav5ac0EZc5qwktwFUlbdlzSJDqV+w/mVp\nP/60VVV9dAbCmteGVL+GYkj7ZEhlAUdEJUmS5o0kL6X7Bc+zxx2LpPltk3EHIEmSpH5U1ZmAt6BK\nGjtHRCVJkiRJvTIRlSRJkiT1ykRUkiRJktQrE1FJkiRJUq9MRCVJkiRJvTIRlSRJkiT1ykRUkiRJ\nktQrE1FJkiRJUq9MRCVJkiRJvTIRlSRJkiT1ykRUkiRJktSrTcYdgKZfklcDh447jmmyU/v35rFG\noVHuk9nr9Ko6edxB6F7bACRZPOY4tKp9gLsGsl/2h0HUsZ2AHccdxDTZCvj+uIOQ5gJHRIfpUGDB\nuIOYJr/d/jR7uE9mpwUM5wKUNJPuAjYbdxBaxY50CZykecQR0eFaVlULxx3EhkpyG8AQyjIU7pPZ\naQAjIkN0MXiszDYTx8oQ9stQyjKUcoBtsbQuHBGVJEmSJPXKRFSSJEmS1CsTUUmSJElSr0xEJUmS\nJEm9MhGVJEmSJPXKRFSSJEmS1CsTUUmSJElSr0xEJUmSJEm9MhGVJEmSJPXKRFSSJEmS1CsTUUmS\nJElSr0xEJUmSJEm9MhGVJEmSJPXKRFSSJEmS1CsTUUmSJElSr0xEJUmSJEm9MhGVJEmSJPXKRFSS\nJEmS1CsTUUmSJElSr0xEJUmSJEm9MhGVJEmSJPXKRFSSJEmS1CsTUUmSJElSr0xEJUmSJEm9MhGV\nJEmSJPXKRFSSJEmS1CsTUUmSJElSr0xEtYokC5McP/L61CS7jTOm9TWkssB9yzOXDaUsSZ6V5JIk\ni5P8dZKNxx3TfJdk6yTntn1yeZInjDsmzS1JDmz1Z0mSf0ry+Q09d2zI+SfJsUkWbsj254Mkn0zy\nmDZ9UpLj2vQBSU6cYvkFSR7fpndNckC/EWu26rv/2Na/60ytfzYzEZWk9ZBkO+CtwLOraiFwK/Cq\naViv7fKGeTnwmbZPngpcPx0rdb/MD0m2B44BnldV+wFvBjYbb1RaS1cCe7fprYFd2vTewNIpll8A\nPL5N7wqYiKoXnk9W8ovQ2tg2ycVJrkjyFoAkn0vyoDb9/iR7JdktyZfaske3996V5NIkFyV52DgL\n0cz1sjy4Xam/KMkHW1wfaHFekmSXNcx7YRshuijJ/mOKf9RcL8tzgEVV9Yv2+m+Al46Mxp3VYt03\nyWVt3kuTPKzFfWmSk9oyC5Ock+Qc4FnjKc5g3Ak8Ocl2VXUPsNfEle0kR7S/Xds+OafVo0e2949s\n9eySkZGSa5OcBrxpbCVSnw6mO67vAKiqG4CbAZJskeSMJBcmOTPJpulGS7dp75+YZJ+pzh8T2ijc\n5HPQEUnOTnJe+0uSB7d24p+BfXr9BuaupcA+STYD7mJlH3dv4IbJ3zvwauCNST7Vpg9PckHvUWuu\n2DLJF9LdKTHRZ/l0km2SvCrJZ9u8LyTZeDV9l8uTfBR4X5JHtvp4DvCo8RVrvDYZdwCalQ5P8tQ2\n/V+BE4GFVVXtxPg3wD8AL07yCWCPqvqzJGcCr6yqH7eT9c7AvsB+VbUiSSzLBtsT+GJVHTsSw1FV\ndWeSZwCvoRulW2Vekr9s8/erql9mdlyNm+tl2Qn4xsSLqvpVK8atVfWckTK9G3hBVf17i3UT4KCq\nuifJaUl+py23WVU9u88CDNQiYGfgoiS3AKesZrkHA/sDewFvbgnD84H9gAcBnwBe2Nb1lJELDhq2\nVY7rSY4EzqmqM5K8FngJ8Hm6erMI2Kuq/nw1548J13PfcxDAT6rq9Uk+Dvwe3QWpU6rqU0m+OAPl\nHKJlwF8DewDXAtunu91xV+A73Pd7PxnYpKpOSXfr879W1dFTrVjz0uT+47eAM6tqUZJTkjwRuAJ4\nEt3Fjl8n2RRYUVW/STJVf2Y74J1V9ZN0F6L/d1vHtT2XbdYwEdVUFk00xklOBQKcl+SBwKOBHYDP\nAp8CvgssaZ97NLCo9b+3BR4O/BXwyST/QXcQ9t2ZG1JZAC4ENmpXcM+n6/y8KcmBwKbAt9tyk+dt\nD9xYVb8EqKoVvUd+X3O9LDcD946MJ3kAcDfwjVamq+k6Ramqf4cu1iQPAT6aZFu6DtLEOr7WY+yD\nVVV3A8cBxyU5hK4DcFl7O0C16W+0iwHLgN3orkjvAVw0aZXXm4TOK6sc15PsTjfC/hrgAcAZwOnA\nx5Jcx8pjeKrzx4RHAidOOgcBfLP9e1P7zKOAL7R5tg1roaruat/5U4Cr6M4VBwO3sPrvXVqdyf3H\nZwGvb+9dRXfeuIzu7qgtgK8DLwWuactM1Z/5WVX9pE0/CrimnYe+PsNlmbVmw6iIZr8TgBOqan/g\ne3Qd6+XA7XQH5RltueuBQ9qzWXvRPa9xYVUdDvwMeG7fgU9hrpdl86o6pqoOA/68JTULq+ppwF8C\nmWoe3fOLu7RkabY8nzDXy/LPwMuTbNle/y/gXOBvWpmenWRHoFo5JmI9FPhsq1uX0ZUJYDZcHJjz\nkjyiXZWG7li9m26UC+BxI4v+brofl9oD+D7wA+DKqlrY9s1BbTn3y/xyHvCyJL8FkO4HSibqz/XA\nX7U68iTgpKq6lS4pPQL4x5HlJp8/JryWSeegNr9Glgldfdyjvd5z2ko3fNfS7Ytr6C4Gvpbu+5/q\ne78bmPiBudFpaSpfpDueAZ5Ad964Bngm3cWOy4A3AF9ZTd8FVj2f/ADYo52HRs9N84ojolob5wIf\nbld87xqZ/2ng+Kr6Tnv9VuATSTana9RfDHwmyRbt/f/eV8BrMNfL8vgkl9JdYfsy8H+B5UkupLsa\nx1Tz2kjcu4GLk/wCeDtwce/Rr2pOl6WqftbiOD/JCroT0knAknZi+Ve6ROgo4PNJfg18jG4k+O+T\nvLDvmOeJBcBZSX5Jd+y+Evg/6Z61+4+R5X5GdzfE9sBhVXVruud7lwC/odtP7+g3dI1bqwfvAL7Q\nbq//T1aeK04GPp7kdXQdy6Pobqs7l+5Hjf7/ttxU548JqzsHTXYKcHaSlwO/npbCzQ9LgadV1Z3A\nnUl2aPNWcN/v/XLg1CS/CxwNvDvJmVX10nEErlnvIro7bV4FfL2qLgdIchddErqU7hbey4E7uG9/\nZrL30d1RcUv7m5dSVfe/lOaUJIsB2tXYmdzOwcBjq+q9M7iN2wCqatuZ2kbbzoyXZSj62idaN30d\n932Y6bK058aOr6qXzcT6R7azGIaxT4ZkSPtlKGUZSjlgWGUZiiHtkyGVBRwR1XpK8mK6WxFfMO5Y\nNtSQyiJJkiTNBSaiWi9VdTZw9rjjmA5DKouk+1dVPwRmdDRUkiSt2Wz4wRJJkiRJ0jxiIipJkiRJ\n6pWJqCRJkiSpVyaikiRJkqRemYhKkiRJknplIipJkiRJ6pWJqCRJkiSpVyaikiRJkqRemYhKkiRJ\nknplIipJkiRJ6tUm4w5Auh/bACRZPOY4tJL7ZHZaACwbdxDTZH+AJLeNO5ANtBWwfCDHyk7t35vH\nGsX0WADcMu4gNFg7ATsO5LgfiqGcU6A7r3x/3EFMFxNRSRqGZcDp4w5Cq1jOcBKe327/DiER3Wrc\nAWjQdsQ6Jq0VE1HNdhcDVNXCMcchqT8e97PMxEjCEPbJQEZFNLstH8KxMhQj7de2445lQw1tpN1n\nRCVJkiRJvTIRlSRJkiT1ykRUkiRJktQrE1FJkiRJUq9MRCVJkiRJvTIRlSRJkiT1ykRUkiRJktQr\nE1FJkiRJUq9MRCVJkiRJvTIRlSRJkiT1ykRUkiRJktQrE1FJkiRJUq9MRCVJkiRJvTIRlSRJkiT1\nykRUkiRJktQrE1FJkiRJUq9MRCVJkiRJvTIRlSRJkiT1ykRUkiRJktQrE1FJkiRJUq9MRCVJkiRJ\nvTIRlSRJkiT1ykRUkiRJktQrE1FJkiRJUq9MRCVJkiRJvTIRlSRJkiT1ykRUkiRJktQrE1FNKcnW\nSc5NsjjJ5UmeMO6YJOn+DKHtSrJ/kgtbGS5Isu8Qt9m2+8gkX0hycZKLkuyd5IgkR27getd7HUkW\nJjl2ivlj+Y60Zm1/HT9f4mh1+4dJNm6vFyfZZD3W88fTHNcq5U9yapLdpnMbk7Z3apJdZ2jdgynL\nbLfOFVfzxsuBz1TV37YGbotxByRJa2FG2q4kG1XViulY1/1sZzvg7cDzq+r2JL8F7Dby/rTEMbqe\n+9vmdJoi/lOA11XV9W27vzMT291Q49gv0hrcCbwI+McNWMcfA5+YnnBm3pCOjSGVZUM5IqrVuRN4\ncpLtquqeqrojyTHtytuFSXZNsmm7KrwkydlJNm7zL2mvr06y87gLImleWaXtAvaauLLdRhKOaO3U\nZUnOaaOmj2zvH9nar0uSPL7NuzbJacCbeor/YOC0qrodoKruqKprRuNIskeL//IkL0uyeZJ/mVhB\na5c3S/Lc1j5/Jcmz23uXJ/ko8L7722ZbfmK7mwMbTed2kzwCuLmqrh/Z7tdGv4wpzjtvSfLf2nvP\nS/KmJFskOaMtc2aSTUc+f5/zFF3fZ6vJ56kkn0jyZWCqkdRx7BetgyRnpRtZ/1KSrdu8byQ5rf17\nSLq7JUb3+SrHfJIHt/p2UZIPrmcoD6SrXzMZxyeAV00q//atTbsoyUlt3j+3f9+Z5P1t+vwkrwYe\n17bxuFZfL2/1d4+23OVJPp5k2UQ9XQ9bprvjYclEOZJ8Osk2SV6V5LNt3hfS9SE/0PbhJUl2GYnj\no8D70t1BcUWSc4BHrWdM62tIZZk1HBHV6iwCdgYuSnILcBzw8KpamGR34CjgT4DnVtUv03X0DgC+\nC2wF7A8cArwY+MA4CiBpXprcdp2ymuUeTNdO7QW8OcnRwPOB/YAH0XX0XtjW9ZSq+sVMB948DPgG\nQJJDgdcBl4/G0TouhwE3AZcCZwK3JPkvwMbAT4B7gDfQtcsbAf8MnA9sB7yzqn5yf9usqjdMbBd4\nLrDlNG93J+Dm1X0RSX6P+553TqS7KPDPdOeX4+gSx3Oq6owkrwVeMrKae7jveWrCf6edp5J8FfhN\nVT0jyVuAzSaFM479onVzRFXdme6W7JcCHwd2oKsfjwc+DDwB+EPgD5L8Pfc95j8ELK6qY5NkPeO4\ns/171gzGcRtwQ5K9R+b9BfDuqvpqkhOSPLkt82jgEcA9SR4O/LiqTk7y8nZsbQz8LbAv8PAW33Pp\n2si3Apu2eeevRdkPT/LUNv1fgW8BZ1bVoiSnJHkicAXwJGBv4NfpLhytqKrfJDmq7cNnAK9p27/3\n2GgJ9v9u67h2LeLZEEMqy6xlIqopVdXddCf445IcApwK3J1kcVvkZrpOycmtYduRLgn9LnBdVa1I\nchMzdHuXJE1lirbrNcBl7e0A1aa/UVX3JFlG1049CtgDuGjSKq/vMQmFrm19GEBVnZ7kK8Cxk+J4\nUFX9ECDJD+g6uZ+hS8A2As6m6/DsDny5fWaH1qH92RTJzuq2ycR2W184M7Xd1fivwMLR805V3ZDk\nUUm2AHauqn9tSepeSV4DPAA4A/h5+8xU5ynoOouj56lHAde0964GnryW39FM7hetvY2B9yZ5HLA1\n8E9t/veq6ldJfgp8u+3zn9Ltg6mO+SXA/kk+RZd4LVqPOLZo//7PGY7jg8DbRl7vDrwnSdENCCyl\na/v2B+4CfgUcBHxl0nq2B25sbecPk2zT5t9aVT8DSLLtWpZ/UVUd3T5zKvAs4PXtvavojrXLgOfQ\nfU9fp0vWJ469NyU5kC75/XabN3psPAq4prXdX1/LmNbXkMoya5mIakrpbpn6aWuYfgZ8j+6E+6ft\n/U3pruDdUFWHJnknXScPVnb0GJknSTNuirbrbrqRN4DH0XUWAH63jQTsAXwf+AFwZVW9pK1n4vbO\nvp/jOQ84O8lZVfVzVp6nR+O4Ld0PW9xE15n5Gd3I2kSn98N05f4G8Kx2dX7TqqokU5VndducvN2a\nzu1W1Y1JHprk0e0Z0a1Y9RnRG4AvTTrvACymu9hwYXt9PXBBVZ09stxh7b1nMfV5alTo9v/T2+s9\n1+E7msn9orW3ALilqvZL8iq6kT1YtT8yuW8y1TG/cVUd014vY90T0QVt3cuBj8xkHFX13SRbjmzj\nerrbx69un9sEeCjwBboRzzuAP6NLlkbjuBV4RNvuw1l5EWc6+nJfpLvr5Ft0o8Cn0CVqH6BL4i4D\n3k93V8pDgIVV9bQkB7HyGB49Nn4A7JFkKV173qchlWXWMBHV6iwAzkryS7oT5yuAP2pXpovuivN5\nwFvT/Srlz1l5pVmSxmVy2/VK4P+ke1bqP0aW+xnwWbrRgMOq6tZ0z20tAX5Dl+S8o9/QocVxLPC5\nlpzcA7yHLvGacAxwOt2oy0da0n13ktuAe6rq1wBJ/hq4oI2QXAf8j3Xc5mS/ms7tNkcCH2pJKHS3\nrU7EtSzJv00675xM9wMtXwce0xY9Gfh4ktfRdZiPGln/FazFeaqqrkjy2iQXADcCP1rL72jG9ovW\nWui+xycmOR/4Md3FgDVazTF/cZJ30Y1ifXmNK1h9HAfRjcTv00McHwEmnkN+F93o/zZ0Cc+RVfXD\nJA+iu1V8OfC+iWeygR8nOZvultGPAJe0z01nfbyI7u6UVwFfr6rLAZLcRZe4LaW78+FyukR5eZIL\nWXnBcLL30R1jt7S/Pg2pLLNGqur+l9KcMnEbU1UtHG8kG25IZZG0dmb6uG+jVsdX1ctmYv1D1JIp\nqmptb9GbtQZWlsUw98+RG1KOJIcDW1XVR6c5rPWKA3g3DKN+DYXH/Ozlr+ZKkiRpzknyUuDVdM/f\nzvs4pLnGW3MlSfNK+0EZR0OlOa6qzqT7deJZE0fW+8d2pfnHEVFJkiRJUq9MRCVJkiRJvTIRlSRJ\nkiT1ykRUkiRJktQrE1FJkiRJUq9MRCVJkiRJvTIRlSRJkiT1ykRUkiRJktQrE1FJkiRJUq9MRCVJ\nkiRJvTIRlSRJkiT1apNxB6AZsT9AktvGHcg02Ar4/riD0EpJXg0cOu44ptHpVXXyuIPQKibasMVj\njkMrbQUsH3cQ02QbGEz92ge4awBlGdIxP6T6NRRDar8GxRFRSevqUGDBuIOYJgsYVlItzZTlwC3j\nDkL3cRew2biDkGY5269ZyhHRYboYoKoWjjmODeYVxVlrmfVLM6WqMu4YtKqBHSuDO0fO9bIMpRya\nnQbWfg2KI6KSJEmSpF6ZiEqSJEmSemUiKkmSJEnqlYmoJEmSJKlXJqKSJEmSpF6ZiEqSJEmSemUi\nKkmSJEnqlYmoJEmSJKlXJqKSJEmSpF6ZiEqSJEmSemUiKkmSJEnqlYmoJEmSJKlXJqKSJEmSpF6Z\niEqSJEmSemUiKkmSJEnqlYmoJEmSJKlXJqKSJEmSpF6ZiEqSJEmSemUiKkmSJEnqlYmoJEmSJKlX\nJqKSJEmSpF6ZiEqSJEmSemUiKkmSJEnqlYmoJEmSJKlXJqKSJEmSpF6ZiEqSJEmSemUiKkmSJEnq\nlYmo7pVk6yTnJlmc5PIkT0hy2rjj0jAlWZjkxlbfLkuy+1p+7tQku810fJLWXpLvJvnDNr04ySYz\nvL3FM7n++SLJl5M8rE0/P8n71rDs+5I8p00/PMkFfcUp9S3JJ5M8pk2flOS4Nn1AkhPHG91wmIhq\n1MuBz1TVQuCpwK/HG47mgUWtvr0R+JMxxyJpPSTZA7gUeN64YxmVxD7O/ftL4B3twsEbgePXsOzx\nwJuTbAy8Azi6h/ikcbkS2LtNbw3s0qb3BpaOJaIBspHWqDuBJyfZrqruAe4AHpHk7CRXJ9k5yaZJ\nLkiypM3fOMn/SPK8JL+T5D/TeXuSfdro1ceSXJrkbWMun2avrYHbk1w6MWNixKNdlbw4yUUjHcs3\nWKekWeP3gZOABybZfGJmku2TnNOO3ZPavPcleU6Shyb5l3YOOaod41ck2bMttzjJiUmuTPLKNu+5\n7Vz0d8Cmbd5uSb7UPn90m3dqkg8D5/f7Ncw9VfVVYAvgA8CZwLZtf30lyRsmLXsb8A/AB4HNq+qr\nSTZP8g/t+19k8q8BWQrsk2Qz4C5W5kx7AzeMtFlvAUjyuSQPatPvT7LXVH3gqdqs+cwGQ6MWAT8C\nLkryZeChwFbAfwf+GngxcA/w3KraD/g2cADwFeApwL50V5AeA+wJXNPW+8WqeipwcH9F0RxxeJIl\nwN8BZ01+M8mmwM5VtT9wQFWtaG9Zp6TZY8+qupIu8XvGyPy/AN5dVU8H7kjyZLoRuDcCHwPeUFW/\nAT7QjvHDgNHk5zS6u3P+qL0+CtgfOAbYsc17J/DK9vnHJtm5zb+sqp45zeUcqrfQtaUfo/uO30J3\nPn9Wkh0nLfvRtuxb2+s/AJa27/9GZtmouLQBlgF7tL9rgR8l2RXYFfgOsLCqnggclGQLuos0L24X\nY/aoqqvbeib3V1bXZs1LM/oMh+aWqrobOA44LskhwJ8B11XViiQ3AbsBWwInJ3k4XUfgu8CFdLfp\nbEOXsD4N2Kiq7k4C8M22iV/2WR7NCYuq6ujW2TllYmZaxWl16JPpnlW+MclftkWsU9IskO557ccl\nOR/YHLhh5O3dgfckKbqLmkvbKNq/APtV1bVtucOTHAasAGrk899sbcDEBagVVbUcWJ7k1jbv0cCi\n1mRsCzy8zb8arZWq+mGSm6rqniS/DXytqirJtXSd7ltGlr2nLfvDNuu3gUva9FV0/QRpzququ1q7\n8hS6ur09XTJ5C/BI4MQkD6Rrg3YAPgt8iq5fvGRkVZP7K1O1WT+ZybLMZo6I6l5JHtFGoAB+Rlc/\nRjsFAZ4F3NCu5JwNpF3RXkF3QC0GXgF8Y+Rzo+uQpnIH3e25abf2PY7uxcbAGVX1MrqTwMTzGtYp\naXb4feDIqnp2G/nciZV9i+uB/11VC6vqCcDnkuwE7Af8MMnCttzrgIXAq+jOMxMmH+cbJdmyjSBs\nP7KNQ9qz5nvR3ZUD3TlJ6+77wF7tYuACulHO+12+TT+hvZaG4lrgCLo7/K4GXkvXxrwWOKH1t1YN\nVwAAIABJREFUhb9H1xdeDtwOvB44Y2Qdk9ux1bVZ85Ijohq1ADgryS+Bu4G3c98fkLkCeGuSJwA/\np7vyA91Bum1V/TrJPXS360r35/AkTwUeQPdDGDsBlwFfbO//FnBOS0hvZ9ULHJLG7znAh0ZeXwe8\nuU2/i+4Omm3oEsMjgb+iu/32RrrE9Aq6Z7GWsOoowlROaMt8Dfi3Nu+twCfaBay76R4h0fp7D3Aq\n3TO4n62qf1vz4pwFnN4esfgx4HP7GpKlwNOq6k7gziQ7tHkrgA8nuY7u+dEJnwaOr6rvrGGdU7VZ\ny2ck+jkgVQ4sDM3Ej7y0qy1z2pDKMhRD2idDKos0k4Z0rFiW2Wco5dDs1Ff9SnIw8Niqeu8MbmMx\nDOdYcURUkiRJktZTkhcD/wt4wbhjmUtMRCVJkiRpPVXV2XS/naJ14I8VSZIkSZJ6ZSIqSZIkSeqV\niagkSZIkqVcmopIkSZKkXpmISpIkSZJ6ZSIqSZIkSeqViagkSZIkqVcmopIkSZKkXpmISpIkSZJ6\nZSIqSZIkSeqViagkSZIkqVebjDuA2STJq4FDxx3HNFgA3DLuIKbJTsCOSRaPOxDdy/o1e51eVSeP\nO4gNNaC2eEj2B0hy27gDmQZbAd8fdxBaxdDa4iEZwnnF9muWckR0VYfSdbLnuq2AHccdxDTZka48\nmj2sX7PTAoaTvA2lLZa0dobUFg/JkM4rmoUcEb2vZVW1cNxBbIiBXPEZtXyu75MhsX7NTgMcSZjz\nbfGQTBz3VbXtuGPZUAM8VoZiEG3xkAzoWLkYYAj1a0D7BHBEVJIkSZLUMxNRSZIkSVKvTEQlSZIk\nSb0yEZUkSZIk9cpEVJIkSZLUKxNRSZIkSVKvTEQlSZIkSb0yEZUkSZIk9cpEVJIkSZLUKxNRSZIk\nSVKvTEQlSZIkSb0yEZUkSZIk9cpEVJIkSZLUKxNRSZIkSVKvTEQlSZIkSb0yEZUkSZIk9cpEVJIk\nSZLUKxNRSZIkSVKvTEQlSZIkSb0yEZUkSZIk9cpEVJIkSZLUKxNRSZIkSVKvTEQlSZIkSb0yEZUk\nSZIk9cpEVJIkSZLUKxNRSZIkSVKvTEQlSZIkSb0yEV0PST6Z5DFt+qQkx7XpA5KcOMXyRyQ5Msmu\nSU7rO941sSyzsywTkuyf5MIki5NckGTfcce0PoZSDhhWWYYqycIkx4+8vnQD1rV4WoKaet3fTfKH\nE9tJsslMbWtiG2uKYZxxrMVntkjykSQXJbk0yUfW8nOztn2frdrxc0+SHdrrvZNUkl3HG9m6mUvl\naLHe2Or3vyR5yGqWe3+SjfuObz5a1z6l1o+J6Pq5Eti7TW8N7NKm9waWjiWi9WdZZqkk2wFvB15Y\nVQuBFwJ3rsd6xnqcD6UcLYbBlEXjlWQP4FLgefM5htWZ4hg5BvhqVT29qp4KnDlp+SRJbwEO3zLg\nBW36RcBVY4xlQ8ylciyqqqcDnwQOmWqBqvqzqvpNv2HNW4PqU85WdobWz1JgnySbAXex8nvcG7gh\nycVJrkjyltWtIMkH2nKXJNmlzXthksvbFbH92xXgM9roy5lJNrUs86YsAAcDp1XV7QBVdUdVXZNu\nFPeS9vf4FuObk1zWYpqI+9o2EvCmJE9M8rUW99fa+9snOaeV66QZKsOQyjG0ssw7SfZo++TyJC9L\nsnmSfxl5/4IkmyZ5dVvmb2YwnN8HTgIemGTzkRjuUweSvC/Jc5I8NN1oycZJjhpp0/Zsyy1OcmKS\nK5O8ss17bpKrk/wdsGmbt1uSLwGfA37VYvj7JB8Gfm91cQAPmIk42uePbvNObXGcP+n72req7h3Z\nrKolbflj2zq/CGzX9uGSJGdn5cjRI9rrq5PsDATYY3S5dCOnlyT5xyTLkhzSYrs0yZYbtqvnpAuB\nA9v0Y4FvAdtmLc6js8xcLMe2AGs4tjZp9f7vk3w5ySntvanajosmjoNWt3ccV6HmoHXqUyb5XJIH\nten3J9mrtWcfa+3I29p792n35rWq8q/9AYuBxWux3GZ0V5H3Bl4PHA/sSnelbQsgbbmL2usjgCPb\nMqe19x7Y/n0G8E66Cn4lsEWbvxHwp8Ah7fVrJ6bXIr7bgNvWclnL0lNZ1qM+/gXwnDZ9aCvbKcA5\ndB2pBwOfBR4KfLEt91Tgo236P4At2/QXgJ2BLYF/b/NOBJ7cpk+YmJ7OfTKbyzHAsixmLdqvufC3\noWUBFgLHj7y+tP17Dt3xvilwRfv3FGA34NHAycAm7b1NgKfM1HcKnNP+fQ3wnFbmTaaqA3Tt1eJW\nt/Zo7020VbsBnxr53vYENgeWtHmXAVsB/wX4Xpt3Znt9DnAG8Gbgy3SjMKuL4452vEx7HG36jHY8\nnMoUbSpwycj0l4BvtuWPBY5q88PKtvp44KC2v6+ha7sPozs3LB6Ja6rlDgU+195/C/D74z4mZupY\nWdPx0/bFk4D3tOndmXQencZtrlNbPFvLsYGx3kjXX7kO2GYNx9Ymrd7/rzbvS3TJ61Rtx9F0/Zmt\ngc/Phvo1pu93ncvBuvcpX0bXp9wIuKi9dyrwojZ9Rfv3Pu3efNwnE38z+hzIUFXVXenuAHoKXYXc\nnm6k5BbgkcCJSR5I17HZYTWreVOSA+k6Qt9u67ixqn7ZtrEiye7AXkleAzyArsJalnlQluZm4GFt\nu6cn+QrdCMpj6Rq+CbsCX2/TVwFva9PXV9Uv2vTWVfUT6J4Ja/N2B96TpOg6iDN1q8lQygHDKst8\n9KCq+iFAkh/QtQOfAv4Q2JjuWN6O7pi/J8nVMxFEkt2AxyU5ny5Zu2Hk7fvUgar6arqR2/2q6tq2\n3OFJDgNWADXy+W9W1d1JVrTXK6pqObA8ya1t3qOBf6Qb/bwb+B3gt4DR8k6OYyPgN8B0x7Gotdvb\nAg9v89f4vVfVM5OcCvf2YSaW3xI4OcnDgR2B77a/61rbfRNdp35j4P9LcvFqlvspXaIL8FPgQWuK\nZ8DOAz4GvBp4HV2if96k8+iN4wtvrc2VciyqqqNb3d4FeMpqjq0Jo3V0G6Y+f5wOHEV3bH1mZsMf\nlvXoU36W7nzyXWDJyKom9tMv279TtXs/mcmyzGYmouvvWroRtY8DDwHeAZxNN0J2QlUtTvcDGfd5\nZiXdQ+gLq+ppSQ6iu0p7K7BLkgdU1a/SPR9zPXBBVZ3dPjdTt4BaltlZlvOAs5OcVVU/pzteC7iy\nql4ysu2HAHu0zzwB+H6bXjGyrtuTPIzuqvNubd71dCPBV7d1zVR7MJRyDK0s89Ft6X6o5CbgUcDP\n6C4u/AVdcvIOuoTrEe12tj1nKI7fB46sqgsAkpzDytu+7lMHkuwE7Af8MMnCqlpM16HeE/htuvZu\nwuQO60bpbi19EF1HamIbN9CN9i1un/nhpM9OjuM2unZzuuP4s6q6uX3fRddWr+C+vpLk8Kpa1F6P\nHhsTyz8LuKGqDk3yTla286OxpMXwy6rafw3LTf7MfHQe3Xd6ZXt9AvdzHp2l5lo53k034vkYpj62\nJkyuo/dpO9oFtYcBf0A30q91s9Z9yqpanuR2utHT0Vu+J7eFU7V785adnPW3FHhaVd0J3JnuV9mW\n0p0QP5zkOrp7yqfyf+muCl9IGzVpV2HfDVyc5Bd0P4hyMvDxJBNX8I6iu2XMssyDslTVrUmOBT7X\nRhXuobu16BFJltCNTlxYVe9I9xzIV1rZ/miK1b0D+DzwPeDHbd676EYPtqH7fo6k64xajnlQlnng\nsCRPmjTvGLoRgo2Bj1TV3QBJvg5sUlUrgBXpnjn8CnDxDMX2HOBDI6+vo7s9FqauA38FvIFu1OZz\nSa6ga9eWsOqV96mc0Jb5GvBvbd5b2+efBrwJeDHwc1b+MMdUcWxEdwfIdMfxiXTPyN7d4lidtwN/\nneRIumPquyPrmXAF8NYkT2jl+S5Tu4PumP3C/Sw3r7UR7IlnfAHO5f7Po7POXCtHVV2fZHvW/tia\nsLrzx3nAM9rFU62bde1TfprusZDvrGGdU7V7y2ck+jlg4v5msfIn5av7Ncw5q125pqq2HXcsG2pI\nZRmnkSujWwJfqqr1/i9HxrlPprMcbX1DKstimPvtF/RfliR/BfxDVV15vwvPU0Nqiz1WZp8h1a/Z\npl00v7Wq/mE9PrsYBlG/FsPMlyPJwcBjq+q9M7iNxTD398kEfzVXmh/2Tfc81CXAjDWQPRhKOWBY\nZZmz0v3fcI8wCZU0NC0JfRHd84uaQUleTHdL7ifGHctc4q250jxQVRcD+487jg01lHLAsMoyl1XV\nMeOOQZJmQlWdRPeDepph7XdDzh53HHONI6KSJEmSpF6ZiEqSJEmSemUiKkmSJEnqlYmoJEmSJKlX\nJqKSJEmSpF6ZiEqSJEmSemUiKkmSJEnqlYmoJEmSJKlXJqKSJEmSpF6ZiEqSJEmSerXJuAPQjNgG\nIMniMccxHYZUlp2AHccdxDQY0j7ZClg+7iCmyU7AjgPZL/vDYOrYUHiszE4Tx8pt4w5kA02cV+Z6\nOSbcAtw87iCmwQJg2biD0HA5Iir1Z0e6zpxmj+V0HYYhsH5pJnmsSGtnK4Zx0Rm6JPT0cQeh4XJE\ndJguBqiqhWOOQyMmrr7P9f0ylHLAIEfclg9pvwyhLEPhsaKZNDESWlXbjjuWDWX7Ja09R0QlSZIk\nSb0yEZUkSZIk9cpEVJIkSZLUKxNRSZIkSVKvTEQlSZIkSb0yEZUkSZIk9cpEVJIkSZLUKxNRSZIk\nSVKvTEQlSZIkSb0yEZUkSZIk9cpEVJIkSZLUKxNRSZIkSVKvTEQlSZIkSb0yEZUkSZIk9cpEVJIk\nSZLUKxNRSZIkSVKvTEQlSZIkSb0yEZUkSZIk9cpEVJIkSZLUKxNRSZIkSVKvTEQlSZIkSb0yEZUk\nSZIk9cpEVJIkSZLUKxNRSZIkSVKvTEQlSZIkSb0yEZUkSZIk9cpEVJIkSZLUKxNRSZIkSVKvTEQ3\nQJIDkyxOsiTJPyX5fJLd1nEdC5McP1Mxam5Lsn+SC1s9uyDJvuOOaT5I8skkj2nTJyU5rk0fkOTE\ntfj8giSvXMdt/vH6RbvGdQ6iHBqedu67sbVtlyXZfTXLLU6ySZJjkzyj7zjvz1DKMaqV6Z4kO7TX\neyepJLuON7J1M5RyqH+t7tyRZNv2+tT16N97LlwLJqLrKcn2wDHA86pqP+DNwGbruA6/f61Wku2A\ntwMvrKqFwAuBO9djPdazdXclsHeb3hrYpU3vDSy9vw9X1bKq+tt13OZMnLSGUg4N06LWtr0R+JMx\nx7IhhlKOUcuAF7TpFwFXjTGWDTGUcqh/PwaO3IDPey5cC3ZQ19/BdCefOwCq6gbgZuANSS5N8jaA\nJK9oV0KvSvLMNu/UJB8Gzh9dYZIjk1zS/h6f5MHtsxcl+WC/xdMscDBwWlXdDlBVd1TVNZPrCUCS\nN7er8Rcm2aXNuzbJacCbkjwxydeSnJHka+397ZOc0+rXSeMq5Cy1FNgnyWbAXaxsK/cGbkhycZIr\nkrwFIMmLkixt3//Bo3c6JPlGktPb/ljQ5h3f7qT4UGsPng88rh3vByV5RpLL298z2mcWJzkxyZXr\nMEo5lHJo2LYGbm/t1MTI4ivGHdR6GEo5AC4EDmzTjwW+BWw7uc2YA4ZSDvXvc8DzkmzcXm/R+lAX\nJjkzyaZJPp1kmySvSvJZgCRfSPICPBeuFRPR9bcTXeI52Rer6ql0SQTAme1K6YHAG0aWu6yqnjnx\nIt3o1/OB/eiu3h0D7AksrqqnA6+f9hJotnsYrY4lOTTdBY5TmFRPkjwUOKCq9qWrN0e1z+8MvKaq\n3gP8ZfvckawcFfsL4N2tft2R5Mk9lWsuWAbs0f6uBX6U7nauXYHvAAur6onw/9i793BJqvLe49+f\nDMToKHhFwCiiJxEjOlG8QmBUvF8TPeJtFD2EqDlRc7yiBlGJeDkmhhj1IInEUSIqElEQkctwVRFk\nCB4SDESNIiInZgQUQeE9f9TaTs9m77n2ru5d8/08zzy7u7qq+11dtVatt9aqHh6f5DeBPwSeW1WP\nBb40673uTndl9JXAS5LsBDykzaQ4B6CqTgAuqarlVfUV4FDgCe3fO0be6xPA3sBLtrJyaJhWJDkL\n+Bjwabpj5Bl0x8YL2wWUxWAo5Rh1E/CLJI8E/qUtu5FbtxnTbijlUP9uBr5Ad14EWA6c0M6Pq4Dn\nAF8HHkl3cffGJNsCt1TV5/FcuFFMRDffVXSJwmzfan9vaH+fmGQVcALwWyPrXThru93oOotnAJ8D\ndgDOAm6T5JPAi8YTthaRXx9jVXUM3TGwM7c+TnYF/rltcwEwcx/DZVX1s/b4jlX1g/b839qy3YF3\nt+Pzccx9PG+Vquqm9vDRdN/pBXQXl64G7gOclORMuu/w7sBfAG9NcjRrv/8Zl1fVL4Ar6fbXvVnb\nTqyeP4S6to2G3zyy/FtVdSNwy9ZUDg3WynYhYxnwLrq27QS69u0ewN0mGNumGEo5ZjsJ+AjduQYg\n3LrNWAyGUg717yjgj9rjJwOvaX2ml9AdN+fSnV9/k64ftj9w0Rzv47lwHksmHcAidhLw2SSfqqrr\n0t3EvBNQs9Y7GNgX+A26A3bG7IPuO8A3quo5AO2qyjZVdUh7vhpYOf5iaIqdBByX5NNV9VO6+lrc\n+ji5C13HB2BP4Ir2ePQYuzbJzsAaRhJVuqm/F7b3sj1Y18XAAcBH6b7jdwLHAa8A3lNVq5KcQ9ep\n+V5VHZjk0cD/Ao4deZ/RNiHA94AHtOcPmme92yS5Y3u8zTzrbG3l0HBdRzet9SLgOVX1syTbVtUv\nk0w4tE0ylHLMOAl4It295gDv4dZtxmIwlHKoZ1W1JslldBfr/w/wg6o6Dn7d/wL4a7r+/bnAB+h+\nMwY8F24UO56bqaquSfJO4IvpzjA/oZsCMtsX6UY2z6dLAtb3fie26T03093XcGaSdwHbAqeOuwya\nbu2YOBT4fJJbgF8B7wbuPXqcVNU7093neR7dMTjXFI930k0xuZzuBnzortwfmWR7uqT1QOC7C1ik\nxeZ84Per6ufAz9P98uL5dN/VB5Ncyto6f2ib+rUUeO363rSqrkqyOsnZwKXAL2c+r91j8n66H6n6\nSlt+iOXQQK1IsjdwW+Aw4MfAF0bOqc+eZHCbYCjlWEdVXQ/8D4CWSJ/IrduMqTeUcmhijgD+hK5f\n/sYkr6S7eHFwVX09yU10Sej5wP2Br7XtPBduhFRt9cn4r7Xhdto9nYvWUMoxNJPcL0mWVNWvktwe\nOKXdT7q577UKhnF8TaosI/tjf2C3qjp8DO+5BqCqdtjiADf+M8dejva+q2AYx9hQDGmfTKKuaP2G\ntE+GVFeGYkj7ZEhlAUdEpa3FXun+D8k7sO6N8pqMv2g/DnUz8NxJB7MFhlIOSZLUMxNRaStQVWfS\n3ausKVBVb9zwWtNvKOWQJEn981dzJUmSJEm9MhGVJEmSJPXKRFSSJEmS1CsTUUmSJElSr0xEJUmS\nJEm9MhGVJEmSJPXKRFSSJEmS1CsTUUmSJElSr0xEJUmSJEm9MhGVJEmSJPVqyaQDmDL7AiRZM+lA\nttBS4PokqyYdyJgcU1VHTjoIDdJMnV814TjGYSlw/aSDGJOdgB0Hsl+G0n4Nqa5sD4M418+4Grhq\n0kFsIduv6bRT+7vYj6+h9O+hqytXTDqIcXFEdJiupzsxDcEy4AWTDkJaBIZU73ekO9kudrZfWmhL\n6erLYmf7NZ3u2/5JC8IR0XWdCVBVyycch5qBXFHUlKqqTDqGcRlgXbl+sbfFQ9onQ6wri/34guGU\nZUh1pVn07ResHUEcQlmGYmh1xRFRSZIkSVKvTEQlSZIkSb0yEZUkSZIk9cpEVJIkSZLUKxNRSZIk\nSVKvTEQlSZIkSb0yEZUkSZIk9cpEVJIkSZLUKxNRSZIkSVKvTEQlSZIkSb0yEZUkSZIk9cpEVJIk\nSZLUKxNRSZIkSVKvTEQlSZIkSb0yEZUkSZIk9cpEVJIkSZLUKxNRSZIkSVKvTEQlSZIkSb0yEZUk\nSZIk9cpEVJIkSZLUKxNRSZIkSVKvTEQlSZIkSb0yEZUkSZIk9cpEVJIkSZLUKxNRSZIkSVKvTEQl\nSZIkSb0yEZUkSZIk9cpEdAskeVySVUnOSnJ8ki8kud8mvsfyJIctVIybEMOvkty9PX9Ykkqy6yTj\n0vzHWJInJXnqPNvskOQP+45Vi8+W1P0kLxt5fM7CRblxhlQWLR7tuPtea6fPTbL7POutSrIkyaFJ\n9us7zq3JpvSrpn1/DKUs6ytHH21ukicmObvVw79Mss3oZyd5U5Jd5tl23tdmrffdJAe2x5vVt2/b\n7bap2y1mJqKbKcndgEOAp1fVPsAbge028T2m6ftfDTyzPf4D4IIJxiLWf4xV1clVdeI8m+4AmIhq\nY21y3W9t18s2tN4EDKksWjxWVtVy4PXAyycci6QRSe4KvAV4Uqun1wB/NLpOVb27qq6ca/v1vTbL\nNcALtzDc5YCJqDbKU+hOPtcBVNW3gauA1yU5J8nbAJK8tF2BuSDJE9qyo5N8EDh59A2THNiu2Jyd\n5CFJ7ty2PSPJEQtcntOBx7XHvwv8X2CHJGcm+XqSN7cYD0hyXJKT2r8k+YMk5yc5PclT2lXff2yj\neP/Yni9P8qU2ondukqULXJ4hmO8Ym9kPBybZtR0vxyW5MMk9gYOAx7dj525J3ti+89OT3Kttf0mS\nY5JcnGTZpAqoqbApdf/YJCcCrwP2aMfYHsCSJB9NsjrJk9r6f93e4+yZ486yaODuCFyb5BFZO0L6\n0kkHtbVK8ulWb09Jcse27BVJvtb6Vb8zsu4Dk3w+yR0mF/H8hlKWufojwPaz+yNj7qM8la4v9bP2\n/K/oLlSOxnV0utlmX0iyfVv2/iQPH3lt2exzySw3Aucmefys957dt39qkj9NcrskN6br6780yXOB\nA4D3t8/ePskXW1/6iPZeB9Cd2/ZI64Nv4XczcSaim28nWlIwy5eram+6JALg2HYF5nF0HZ4Z51bV\nE2aepLti8wxgH7or+ocAvwesqqrHAK8eewnWdRPwiySPBP6lLbsRWF5Vj6BLbH6zLf9BVT0FuBJ4\nEN3o23Or6rHAl+gq+KVtFO//As+e+YyqejpwEms7i5rffMfYbEuB/w78Jd13fSTwlXbcbQM8tqr2\nojumDm7b3J1uFOiVwEvGG7YWmU2p+2uq6qlV9V7gkqpaXlWXAHemu+L8VOCP27oHV9W+wNtHllkW\nDdGKJGcBHwM+DbyD7ny+N/DCJJs0W0pjc0Crt58G9k83bf+/A3u1ftW/tfV+F3gXsGLmwu8UGkJZ\n7sHG90fG2UfZCfjhzJOq+gXzz2D8Al3dBXhoVZ0/8tplzH0uGfW3LWZg3r79V4FHAg8HVgGPAh4N\nnAccDby2ql5LN6hwbOtL3y7JI9rb3ghcwto++KK2ZNIBLGJXATvPsfxb7e8N7e8Tk7waCF3FmnHh\nrO12Ax4MnDGy7Cxg3ySfpBs9XbmlQW/AScBH6A7+V9LFfFKS2wG/w9r4Z8p4Jd000L8A3ppkSXt8\nX+CbbZ0LgIcCV8+xndZvvmNstkur6pYkVwKz71HeFfjn9vgC4G3t8eVV9Yu2jftCG1v3Z7dbM66p\nqh9Dd49yW/aGJI8DtmVtUtiHIZVFi8PKqnprkh2Bo+jO5Se01+4K3G1ikW29tgHe12Y53BE4HrgP\n8M2quhmgnTehu+3lhVV17aSC3YChlGVX4KL2eEP9kXH2UdbpSyW5LfDLedY9HvhIkktZ24+dcR+6\n0crRc8n3RleoqquSXNdehzn69lX1kyR3oUs+3ws8FvitqvrBrAHO+9Kdz6D7vmb6dzMju4Povzki\nuvlOAl40M/Uh3Y8U7QTUrPUOBp5MdyXklpHlt8xa7zvAN9pV+eXA44FtquqQqnoh8NrxF+FWTqLr\nnH2jPX8P8J52Fe5yug4drFvGAN+rqgPpRuL+F3AFXfIJsGd7Ptd2Wr/5jrHZZn+vv6Q7cQF8l64R\nBPeF5rexdX+03ap5HqedZJdX1e8Df06/x9iQyqLF5Tq6ROEi4KntXP57G3l/mcZrGXD7Npr0t3T1\n9t+B30v7fY6s/Z2OVwFvzib+2GSPhlKW77Lx/ZFx9lG+BLw4ye3b8z8D/mmuFavqGuC2dFNkPzvr\n5Vcw97lktiNYO4txrr49wPfpEtDTgT2A/2zLR/tv8/WlRy3685Ejopupqq5J8k7gi22O9k/opoXN\n9kW6kc3zgTUbeL8T2/Sem+kOzjOTvIvuKvyp4y7DHDFcD/wPgHZV5kTgg+3K0Fxlm3Fomwq3lC5h\nPhd4TivLVXQdwb0WMPRB2oRjbLYfAXdO8lm6UaEzkpzXtnUarm5lM+v+95McRzeNdbb/Aq5Pcjpr\nR+R7MaSyaNFYkWRvug7sYcCPgS+MtNvPXt/GGrsAlwKPSHIyXaf/ynZOPQ44L8kNrP1hqTXAi4FP\nJHlhVf1oIlHPbShlCd0I3hV990eq6sdJDgdOTnIL3YWi961nkxPpRpZfNcfyDfaJq+qCJD9pj+fq\n27+Tbhru3auq2gjq19rmq4DD2zTcI4BjkvwR8M9V9bUk99+kwi8CqZo9gLf1SrIKoF210BQY0j4Z\nSlmGUo6hGdJ+SbIGoKoW9bSjIe2TIRnSfhlKWcZZjiQrgKVV9eEtfa/N/PyxtV9DKcukyzEkQ6nz\nM5yaK0mSpEUvyf50M4GOm3QsW2ooZRlKObQwnJorSZKkRa+qjgWOnXQc4zCUsgylHFoYjohKkiRJ\nknplIipJkiRJ6pWJqCRJkiSpVyaikiRJkqRemYhKkiRJknplIipJkiRJ6pWJqCRJkiSpVyaikiRJ\nkqRemYhKkiRJknplIipJkiRJ6pWJqCRJkiSpV0smHcCU2RcgyaoJx6G1Hg7cNJB9MnN8rZl0IFto\nKXDFpIPQrQyp/VoKXD/pIMZgJ2DHgeyTIVkGXD3pIMZkKMeY7dd02h4Gs1+GYhmwetI+zRb0AAAg\nAElEQVRBjIuJqKbdTcB2kw5CUq+uZxiJwo50nVJNlyHtE4+x6TOU9kvTaTVwzKSDGBcT0RFVlUnH\noHXNXIWrquWTjUQzvDI6nYbUfg3sGLve9mu6DGBWymyL/hgb0rl+YO3XmTCM/aLp5D2ikiRJkqRe\nmYhKkiRJknplIipJkiRJ6pWJqCRJkiSpVyaikiRJkqRemYhKkiRJknplIipJkiRJ6pWJqCRJkiSp\nVyaikiRJkqRemYhKkiRJknplIipJkiRJ6pWJqCRJkiSpVyaikiRJkqRemYhKkiRJknplIipJkiRJ\n6pWJqCRJkiSpVyaikiRJkqRemYhKkiRJknplIipJkiRJ6pWJqCRJkiSpVyaikiRJkqRemYhKkiRJ\nknplIipJkiRJ6pWJqCRJkiSpVyaikiRJkqRemYhKkiRJknplIipJkiRJ6pWJqLY6SZYn+V6SVUnO\nTbJ7kg8k2SbJoUn2a+scNgWxPq7FeVaS45N8Icn9kjwpyVPn2WaHJH/Yd6zSJCS5Y5ITWz35WpI9\nF+r4X+i6NaSytM/4dTua5NlJjktym5HXP5Bkmzm2W5bkIQsZ26ayLNNZlqEa6aeckeQrSe4y6Zik\nhWAiqq3VyqpaDrweeHlVvaaqbp5wTOtIcjfgEODpVbUP8EZgO4CqOrmqTpxn0x0AE1FtLV4MfK7V\n572BG1mA4z9JgDstxHuPGFJZRj9vL+BPgBdV1S1t2W3W0+4uA6Yy4bEs01mWgVpZVY8B/gF4/qSD\nkRbCkkkHIE3YHYFrk6wC9ptwLLM9he5EdB1AVX07yVUASQ6gq7+nAiuBHwO7As8EDgIe38r034GX\nAc+g69QeUFX/keQS4BLgd4GXVNXq/ooljdXPgUcn+XxV/b8kz2fd4/+ZwEvauq8GdgJ2A/4O+K/2\n/JnAz4BrgTcBS4EjqurjSQ4F7g3sAlwx+t5VdY1l2aDfAR4HPA3YMcnHgP8ETkryYrp294+BFcAN\nwGvp2rC7JHkM8CLgQ+19bmjPH0x3Ye5XwJ2BJ1bV9QsUv2WZ/rIM3Q7AnZIcW1X7J1kCnFJVj03y\naWBHuvP7c6rqWs/vWkxMRLW1WpFkH+C/AU8Afn/C8cxlJ7qTyYYsBfalu2L6bOBI4F5V9aIk9wAe\nW1V7JdkbOBh4BXB3ugT1oXQdW09UWqxWAvcEzkhyNfBW1h7/d6W7CLMP3Qjg39Md9y+gq1urgEcB\njwbeDvykqk5uHb0zgY+3z/h2Vb00ya7AHarqRZZloz0B+Kuq+s8kd6Bre/arqptbwgNd8vyYqrqh\njdYeCSypqqOSPB34j6p6RZInAy8HvgrcVFXPTPIWuoTq8wtcDssyvWUZqhVJngTcjq5uf6Ltq0fT\nXYSG7uLyz5McCOwPfBTP71pEnJqrrdXKNt11GfCuSQczj6uAnTdivUvbtKor6a6cjtoV+Of2+ALg\nfu3x5VX1i3m2kRaNqvplVb2jqvagGxl8zcjLu9GN0pwBfA7Yoap+AtyFrjP33vb3t6rqB8BDk5wK\nnAY8YOR9Llz4kgyrLCM+DOzVOtQAF88x7fNtwIeTHEnXiR61O/C8NnL7FrqRNoBvtb99tmGWZa1p\nKstQrayqPYHzgXvR1ftn0iWcn2r38b4vyVnA/2Rtf8HzuxYNE1Ft7a6jm547jU4CXtSugJLkfnSj\npLPVyOMAvwRmfmjiu3SdV4A96abjzbWNtCgluXeSbdvTH9PV6Znj/zvAN6pqebvv8vFt+feBxwKn\nA3vQTUkEeANwIN20xDUjH3NL+ztat8ZuSGUZ8Su6jvNhwG1HPn/U6qo6gG5U94BZsV0GfLyVe2/g\nzW35JNowyzKdZRm6w+m+3+Po9tnOVfXvdBfSb98uqv8ta79v94EWDafmamu1ok1VvS3difh1E47n\nVqrqmiTvBL7YpkX9BLhpIzb9EXDnJJ+lu6fnjCTntW1fst4tpcVnGfDpJDfQdZQPBI4cOf5PbCMG\nN9Mla+8EzgPuXlWV5Drga+29jqebSriadZO3GevUrTYiaVk2oKp+kmQFcA7d6M5sH0lyH+A3gJfS\n3e92dJIHAq8Cjkhyelv3A3T3v06EZZnOsgxZVV3WfrzwdsAvWDst9zLgfklOprsgdeWEQpQ2W6pq\nw2tJE9Km/dBGADQF3CdaaEM5xpKsAagqp8dNkSHtl6GUZSh1Hha2LEmOAV5bVVeN+73n+bxVMIz9\nounk1FxJkiRpirV7dX/cVxIq9cGpuZIkSdIUq6qDJh2DNG6OiEqSJEmSemUiKkmSJEnqlYmoJEmS\nJKlXJqKSJEmSpF6ZiEqSJEmSemUiKkmSJEnqlYmoJEmSJKlXJqKSJEmSpF6ZiEqSJEmSemUiKkmS\nJEnqlYmoJEmSJKlXSyYdwDRJchDwgknHMQY7tb9XTTSK8dgXIMmaSQcyJlez+PfLMmD1pIMYhwHV\n+RnHVNWRkw5iDIZS77cHSLJqwnFoXUPaL0uB6ycdhNYxlPYL2vE1kLoylPPjoDgiuq4X0HWyF7v7\ntn+aLkuBHScdxBisBo6ZdBBjMpQ6D105hpRUS9qw6+kucEoLYSjHl+fHKeWI6K2trqrlkw5iS8xc\nhVvs5RiamSuK7peps+jrPAxmdGfGmbD464p1XgttYPV+KAbRfg2J9WR6OSIqSZIkSeqViagkSZIk\nqVcmopIkSZKkXpmISpIkSZJ6ZSIqSZIkSeqViagkSZIkqVcmopIkSZKkXpmISpIkSZJ6ZSIqSZIk\nSeqViagkSZIkqVcmopIkSZKkXpmISpIkSZJ6ZSIqSZIkSeqViagkSZIkqVcmopIkSZKkXpmISpIk\nSZJ6ZSIqSZIkSeqViagkSZIkqVcmopIkSZKkXpmISpIkSZJ6ZSIqSZIkSeqViagkSZIkqVcmopIk\nSZKkXpmISpIkSZJ6ZSIqSZIkSeqViagkSZIkqVcmopIkSZKkXpmIjkGS5UkOm3Qc4zCkssynlfF7\nSVYlOTfJ7kk+kGSbJIcm2W9r+B60eZL8Q5IHtMcfSvKO9vixSd4/a92/Wc/7HJ3kfrOWPSvJnRci\n7qFKcsckJ7b6/LUkeyb5wwX6rB0W6r2lPs0+x83VHq1n2wOSHLhw0Wmkn3JGkq8kucukY9oUI/Gf\n1trm58+z3q5JPjHH8nMWPkpNAxNRba1WVtVy4PXAy6vqNVV184Rj0uLwDeBh7fEdgXu1xw8Dzp9Z\nKcltqupPN/G9nwWYiG6aFwOfa/V5b+BGYOzJYpIAd1qI95akOaysqscA/wDMmchNuZVV9TjgycAL\nkzxk0gFp+piIjlGSTyc5M8kpSe7Yll2S5BPt7/PblfsLk9yzvX5gkrPbv4ckuXO7enRGkiMsy4K7\nI3Bti3PJpIPRonA+8PAk2wE3sbYdfRhwuyTHJjkReNDMVd0kz2h15chZV3pfl+ScJG9Lci/gScAn\nk7y+x/Isdj8HHpXkrlX1K7oO2+Nbnb7bHO3SU5P8aZLbJbmxtVMvTfLcJE9q212Q5MUAbZbEx4Av\nA28Yfe/JFVlaELdP8sUkZ82cs5NsP3vZjCS7tH7Azkne1dqyM5LsPJnwB2sH4E5JjgVIsiTJ6e3x\nfH21Y5JcnGTZBOMGoKpuAN4PPD3JIa39PD3Jrm2V+yQ5Id2Mlvu0ZTsk+Uw7bz4sySOS/G+AJHdN\ncnz/JdFCsOM9XgdU1c/TTVnZH/gocHfgQOAhwAeBPYHnAc9N8nHgGcA+dFfa/x74G2BVVR3arsBP\nypDKMpcVSfYB/hvwBOD3JxyPFo/VwF8CDwYuBu7WTqi7AgWsqar9AUYO+zfS1Y0dgFUj7/Xlqnp5\nkq9X1duTnAwcVlWXL3wxBmMlcE/gjCRXA28F7lVVL0pyV27dLr0MeAFwCd2+eBTwaODtwE+q6uR2\nUepM4OPtM75dVS9t+/kOVfWinsomLaQVSfZuj+8P/F/g2KpameSoJI+gqzuzlwHsDBwJ/FFV/TDJ\nXsA+VXXLFJ7vF6sVSZ4E3I6unfpEkjvQtVentnXm66u9DHgo8BK6c9ak/RBYTteWLk+yO3AwcDjd\nLKB96eJ9I/ByuuPrkcD2wP+pqqclObwdW88GPtN/EbQQHBEdn22A9yU5C/ifdJUI4PKq+gVdJfyX\nqrqlPb4TsBtdZ/YM4HN0ndSzgNsk+SQwqc7OkMoyn5VVtQ+wDHjXpIPR4lFVN7WHjwYuaP+eAlzd\nll84x2Y3V9XPqupK4P+NLP9W+3vDQsS6NaiqX1bVO6pqD+DvgNeMvHyrdqmqfgLchW7/vbf9/a2q\n+gHw0CSnAqcBDxh5n7n2qbTYrayq5W1a+8nAE4FvttcuAO4H3HeOZdAlC5+tqh+25+8F/iHJB+gS\nJ225lVW1J90snHvRtWHPpEs4P5VkQ321K+n6YtNgF7p2eHmSVcCH6WakAVzSZrOsZu3xdXlVXd/O\nmdu3ZWcDewFPBz7fV+BaWCai47MMuH1Lbv4WmLkiWCPrjD4O8B3gGyMngscD21TVIVX1QuC1Cx/2\nnIZUlg25jrWNobSxLgYOAC6iS1JeQXfvKMAtc6x/mzYVdGfgriPLa9Z6v6S7EKSNlOTeSbZtT39M\nV6dnvsO52iWA7wOPBU4H9gD+sy1/A92sj/2ANSMfM7NP3T8asi/TjUpBN+PpivZv9jKAw4BnJXlk\ne356Va2gq4NP6yfcrcbhwJuB4+iS0J2r6t/ZuL7axEenk9yW7gLhCcApI+3xi9sqD2xJ9YNZe3zd\nL8nt2znz2rbsk8CfAT+tqp/1VgAtKBPR8QhwKV3FORl4+MZsVFXXACe2ey/OAN5Ed+/ZOUm+ztqp\nF30aUlnWZ0W7Knc68L4Jx6LF53y6Cy0/r6rv002FOn8967+XbobAO1g7cjqXLwMfSvLysUU6fMuA\nc1p9fhNdB/nOST4L3Myt2yWA84CfVVXRJa5fa8uPp7vSfhTrJqIzfjTz3vHXjTU8ZwDPS3I2cGNV\nfY1uqufsZdDdH/8i4O1tmuXn2zpPppvWrjGpqsuAu9GNNP8C+FJ76TI2sa/WsxVJTqMbbf9UVa0G\nftTuET0DeGlb78fAPwFH0J0robtY+PfAF+jOm1TVt+lGhj/dXxG00NKdhwXQOjK0KzWbst0KYGlV\nfXgBwtpkSdYAVNUmT8mYtrIMyeYeX1o4fe2TJEuq6ldJdgGOrKqnLsBnrIJhHF9DKctQyqHpNZRj\nbCjlgIUtS5JjgNdW1VXjfu/FoCXdzxi5RWZjt1sFwzi+hsYfK9pCSfYHDqK7eXpRG1JZpCnznCSv\nAG4PvGrSwUiSFpckRwI/3oqT0BOB0zY1CdV0MxHdQlV1LHDspOMYhyGVRZomVfUp4FOTjkOStDhV\n1UGTjmGSFmImkSbPe0QlSZIkSb0yEZUkSZIk9cpEVJIkSZLUKxNRSZIkSVKvTEQlSZIkSb0yEZUk\nSZIk9cpEVJIkSZLUKxNRSZIkSVKvTEQlSZIkSb0yEZUkSZIk9WrJpAPQgtgeIMmqCcehdT0cuMn9\nMlWWAVdPOggN1k7Ajtb5qXRMVR056SDGYF8YxPl+GbB60kGMyVD2yZAMrf81lPbLEVGpRzcB2006\nCK1jKbDjpIPQYO1Id4xpuiwDXjDpILSO1cAxkw5CgzWk/teg2i9HRIfpTICqWj7hODRi5kqc+2V6\nJFkz6Rg0eNdb56fLgEZFqKpMOgaty30yfYbU/xpS+wWOiEqSJEmSemYiKkmSJEnqlYmoJEmSJKlX\nJqKSJEmSpF6ZiEqSJEmSemUiKkmSJEnqlYmoJEmSJKlXJqKSJEmSpF6ZiEqSJEmSemUiKkmSJEnq\nlYmoJEmSJKlXJqKSJEmSpF6ZiEqSJEmSemUiKkmSJEnqlYmoJEmSJKlXJqKSJEmSpF6ZiEqSJEmS\nemUiKkmSJEnqlYmoJEmSJKlXJqKSJEmSpF6ZiEqSJEmSemUiKkmSJEnqlYmoJEmSJKlXJqKSJEmS\npF6ZiEqSJEmSemUiKkmSJEnqlYmoJEmSJKlXJqJjlGR5ku8lOS3JqiTPn3RMWpySnJVkh5HnH0hy\nRpJtFuCzXjbu99zA583Uk1Xt3/ab8R4HJDlw2uLaUGxJdk3yiVnLViVZspmftWpzthuyWfvx80lu\nO886u7XHy5I8pP9I128o5ZjRYj1s5PnRSe43yZgkaWPNbsM0Hiai47eyqh4HPBl44TR3DDTVvgg8\nbeT5XsB+VXXzAnxWr4los7Kqlrd/PwVIMg3t0a3igqmJTRtvZVUtB84DnjPH68uB3drjZcBGtdMT\nOA6GUo7NMhrnYolZkrTxbNgXSFXdALwfeHqSQ9pV7dPbiMi2bdT0rCTHJdmmLT+7Pb8wyT0nXQZN\n1OeAZwK0ixkXA6clWZLk0CQfT3JqkqPaOvdI8qV2nB3elh3YjqmzZy6IJLkkyTFJLm4jKAcBe7Tt\n9phEQdtnvxf4eIvpzCRfT/Lm9voBrV6c1P5lZNtdkpyYZOfFHluSe7U24twkb2zLfj0KnuSzSXZM\n8rTWRnwM2Hb8pR6U1cBuo99rku2AA4D3J3k/cBDw+iSfTOfDbf0Tk9ypXQU/IckJwBMtx1jtME+d\nOjbJicCDWlv1CeDPk3xlZsN2DvX4l9Sr1v6e29rXe7Vl6/St2rJ1+mBJ7tz6FGckOWKypZgemzUd\nTBvth3RXrL9dVcuT7A4cDLwceFpV3ZBumP+xwL8BS4F9gecDzwb+eiJRa+Kq6vKWyNwW+APgeOD1\nI6tcVFUvTnJKuim8BwN/VVWnJLlNkrsCzwD2Ae4E/D3wLODudCOgDwVeUlV/luTFbdSlTyuS7A18\npz0/vqq+muQ3geVVVa2x/qv2+g+q6tVJPgo8qC3bGTgS+KOq+uG446qql/Yc2xuBt1XV2UlOTrIS\nOA14TJLzgd+oqquTHEzXTtwJOGPLizxo+wB/CBw0870CK4GjgXOq6tQkBwBLquqoJE8H/qOqXpHk\nyXRt9VeB7arqSZMpAjCccszUL4D7012snatOramq/QHSXZR9dFX9LMlR6abzbgNcUVW/7L0EkrZm\n9wAeVlV7tbbsYOAVzOpbJfkBt+6D/Q2wqqoOHb1ovbUzEV1Yu9B1FF+YtfdyXQXcHjgyyS7AjnRJ\n6L8Bl1bVLUmuBLx3Rl8B9mv/DmPdRPRb7e8Pge2B3wbeAtCOod2AB3PrROXyqvpFO8Z2YHJWVtVb\n4df3OV7Ylt+HboTndsDv0DXusLa8o3G/HHjLGJPQdeIa0Vds9wW+2R6vbp93DN2Jbhe6UXKAW6rq\neuD6JNdswvtvTVYk2Qu4FPgBt/5e57M78LwkT6Q7P361Lf/m/JssqKGUY8ZovT8aCHDSHHXqwpFt\nLquqn7XHnwSeR5eI/mMvEUvSWrsCF7XHFwBva49n963m6oOdBeyb5JPAzMXErZ5TcxdIG8l6DXAC\ncMrMfWfAi+mmRX27qvYFjqM7GQPU6Fv0GK6m0+eA19GNbNw467XZx8plwCPh1/dSfQf4xshx9/h5\ntpu9bFJuaX9fAbyn1Y3LWX/dOAx4VpJHDiS2K+iupgL8HvDdqvp3utHV57I2Eb1Nktu3kaK7bVJJ\nth4rq+oxVfUnwLeZ9b0Cv6RLZpj1+DLg463e7A28uS2fOQb6NpRyzOc9zF2nRuMcfXwm8Pvt35m9\nRChJa32XLsEE2JPuvA237gfM1QfbpqoOqaoXAq/tJ9zp54jo+K1I8ii6DsGRVbU6yY/aqE/RXcU9\nCXhLkj2Bn9KNhkrrqKqLW7LxkY1Y/d3APyR5K3BeVb253Rt2FnAzcDrwznm2/X6S4+hG8P51LMFv\nvhOBDya5FLhpA+veBLwI+GyS11TVvyyS2B6X5NT2+KiR5e+l24fbAV+oqivb8pPofqhq5seT3kN3\nZfWbwI82vzhbjVt9r609PjzJI+hG2Y5O8kDgVcARSU5v234AuHYSQc9hKOUYtSl1ama2xz/TTUGe\ntqRa0rCFbubTFUnOo2uzXjLXilV1zRx9sDOTvIvutx1OnWu7rVGqpmEwZDrMTJ+dwP1yYzWUcgyN\n+2X6JFkDUFWTnKa8XkleCVxTVZ/ZwHqrYBjH11DKshiOr8Um3Y+HfaaqvrEF77EKFv/xJWnjjKPO\nJ1kBLK2qD48prM2NYxUMp/1yRFSSplRLQv8AeMqkY5EmLck7gHtvSRIqSZsqyf50v0z+7EnHMjQm\nopI0parqQ8CHJh2HNA2q6pBJxyBp61NVxwLHTjqOIfLHiiRJkiRJvTIRlSRJkiT1ykRUkiRJktQr\nE1FJkiRJUq9MRCVJkiRJvTIRlSRJkiT1ykRUkiRJktQrE1FJkiRJUq9MRCVJkiRJvTIRlSRJkiT1\nykRUkiRJktSrJZMOYMrsC5BkzaQD2UJLgSsmHcQ4JDkIeMGk4xiToRxfAFcDV006iDHYHiDJqgnH\nMQ7LgNWTDmJMhlJXhnR87QTsOOkgxuQOwI0D2S9DckxVHTnpILbUwPotQ7GMrt+iKeOIqKbdC+ga\nEE2PpQynQzokq4FjJh2EBmtHuro/BLcBfmPSQWgdyxhO8ma/ZfrYb5lSjoiu60yAqlo+4Ti2yACv\n8q5e7PtkSGaOL/eJFtCg2uLFXg4YXFnWwDDKMhT2W7SQBjC7ZrAcEZUkSZIk9cpEVJIkSZLUKxNR\nSZIkSVKvTEQlSZIkSb0yEZUkSZIk9cpEVJIkSZLUKxNRSZIkSVKvTEQlSZIkSb0yEZUkSZIk9cpE\nVJIkSZLUKxNRSZIkSVKvTEQlSZIkSb0yEZUkSZIk9cpEVJIkSZLUKxNRSZIkSVKvTEQlSZIkSb0y\nEZUkSZIk9cpEVJIkSZLUKxNRSZIkSVKvTEQlSZIkSb0yEZUkSZIk9cpEVJIkSZLUKxNRSZIkSVKv\nTEQlSZIkSb0yEZUkSZIk9cpEVJIkSZLUKxNRSZIkSVKvTETHKMnyJN9LclqSVUmeP+mYBEn2TXJ6\n2yenJdlr0jFtSJKzkuww8vwDSc5Iss0CfNbLxv2e0qSMtMOrknw+yW3nWWe39nhZkof0H+mwtO/0\nsJHnRye535g/44AkB47zPTczjgUv60KaVUdWJfnYfOeWJIcm2W/WsgOSHNBLsFuBJNuP7IufzuyT\njdz2wGneF4ux/zWXoZRjGpmIjt/Kqnoc8GTghXZwJivJXYG3A8+qquXAs4CfTzSojfNF4Gkjz/cC\n9quqmxfgs0xENTQrW30/D3jOHK8vB3Zrj5cBG9VOJ/GcOWaj3+mQv98pLOfKqlre/r10Ic4tU1LO\nqVdVP53ZF8AlM/tkoT6vr/2yof7XYjk+hlKOaeWXt0Cq6gbg/cDTkxzSrqKcnmTXJNu2KypnJTku\nyTZt+dnt+YVJ7jnpMgzEU4BPVNW1AFV1XVVd1K4int3+PQQgySVJjklycZJlbdmt1uvJ54Bnthge\nAlwMnJZkSbtC/fEkpyY5qq1zjyRfasfZ4fPFPruMSQ4C9mjb7dFj+aQ+rAZ2a23vuUnemGQ74ADg\n/UneDxwEvD7JJ9P5cFv/xCR3aqNHJyQ5AXjiBMuyKLV25swkX0/y5rbsgCTHJjkReFBrjz4B/HmS\nr4xse1qSbed53yPaOfSLbURp0ufQHRainH1o7f+SJHdrx/oZST40a53t0s0wOBl4xsjy2f2bXdv2\nn6WrZ9oMI9/jeUle15Yd1s7fpyU5cmT1pyU5KckXWht2uySfavvkH9u+PbAtOxF4QE/FmK//NVMP\n3pDkpe34uSDJE1o575+1I8SvbsvWOc56in9o5ZhKSyYdwMD9kO7K+7eranmS3YGDgZcDT6uqG9JN\n73ks8G/AUmBf4PnAs4G/nkjUw7IzcAlAkhcArwT+Fbg7sA9wJ+Dv6a5w3Z1udPChwEuS/IDuhDt7\nvQVXVZcn2SXdtMI/AI4HXj+yykVV9eIkp6Sbwnsw8FdVdUqS26S7gjdX7OuUsar+LMmL21U+aWj2\nAf4QOKiqzm6d6JXA0cA5VXVqumltS6rqqCRPB/6jql6R5Ml0bfVXge2q6kmTKcKisiLJ3u3x/YHD\ngMuA5VVVrWP9V+31NVW1P0BLGh9dVT9LclS6aa7bAFdU1S9nf0iShwG3r6p9kryIbj8dS7/n0Nll\nff+4y7nAZuL/zsiyNwGHV9VXk7wnyaNGXnsWcH5V/cVMEpTkQcAus/o3h9OdZxZqBs/W4mDgzcDX\ngFOSrGzLL66q9yT5aJI927LvVdVr003nfQDwBOC4qvpMkj+l60MA/GdVPa/HMszV//oaMFoPbldV\nH0uyPfAZ4BS6Y+jlVfWvrT8z13H2x5ZjGExEF9YuwBl0U3RXtWVXAbcHjkyyC7AjXRL6b8ClVXVL\nkiuBRXO/yZS7iq4RoaqOSXIe8CHgd+n2zajLq+oX7fvfgW7q3oPnWK8vXwH2a/8OY91E9Fvt7w+B\n7YHfBt4C0I6h+WKfXUZpiFaku4fnUuAHwDfb8tXAfdaz3e7A85I8ke78+NW2/Jvzb6IRK6vqrdDd\nN9mW3Ydu9Pl2wO/QJSkAF45sd1lV/aw9/iTwPLoE7R/n+Zz7snafXECXfEK/59DZZQ1w0pjLuZBG\n41/Vlu0OvDtJ0SX154+svxtwUXs8U6b7A8tn9W+gS5ZMQrfMfYFvtgsbFwO7tuUz+2A1a4/xmf7A\nzHl9d2D/JH8C3Bb4BPAL1j0W+zBX/+tQ1q0HT2yjhWFtnblrVf1r2+6WJPMdZ30ZSjmmklNzF0gb\nyXoNcAJwysj8/xfTTe/6dlXtCxxHd+AC1Ohb9BjukJ1E1yndvj1fQvc9f2Nknzy+vTb7+//OPOv1\n5XPA6+hGaG6c9drsWC8DHgm/vl9hvtjnOsZGl0lDsLKqHlNVfwJ8m24GAMDvAd8FfkmXADDr8WXA\nx1u92ZtuRALgll6iHqZXAO9p57vLWdvujH6no4/PBH6//Ttznve8grX7dM/2HCZ7Dn0P4y9n3y4D\n/lc7/vcEPj/y2nfoLm5CV4+gq1uz+zdgfRmHK4CHJgndfezfa8sfPPJ3vuP+Ms4mencAACAASURB\nVLqR7eVV9Ujg/7TX+t4vc/W/ZsdxMN1vqjxzZPk1SX4bft2fme8468tQyjGVHBEdvxVtOss2wJFV\ntTrJj9oVkKK78nkS8JY2reKndKOhWgBVdU2SQ4HPJ7kF+BXwbuDeSc4CbgZOB945z7Ynbmi9BYz9\n4jaV6yMbsfq7gX9I8lbgvKp68ybE/v0kxwFvmbl6Jw3Ie+nqxnbAF6rqytYeH57kEXQjU0cneSDw\nKuCIJKe3bT8AXDuJoAfkROCDSS4FbtrQym3k4J/ppkvP7jgHuLmqvpHu/suzgeuAFzD5GR7jLOek\nvItuttb2dJ3p0V8o/ifgs0m+DPwXwDz9m1P6DXmw3k13C8G2wD9V1Y+6nJQHtvbp31s9ePAc234Y\nOKqN0AG8oY+AZ1tP/+sdI6t9ETiLbvR9TVv2ZuCjbWT++Kr66zmOs9F7ZBfUUMoxrVLlYMiMmeHy\nxX6/3FDKAcMqy1C4T7TQhnKMDaUc0G9ZkrwX+ExVfWPW8j8HLqiqL23h+68BqKqJJq/zlXNrZF3Z\nqPc9DDi1qlaN8323BtNS58dhSHUFnJorSZKmRJJ3APeeIwl9NbA33eyORW++ckrS1sSpuZIkaSpU\n1SHzLP9rBvRL8vOVU5rPzI9LSUPiiKgkSZIkqVcmopIkSZKkXpmISpIkSZJ6ZSIqSZIkSeqViagk\nSZIkqVcmopIkSZKkXpmISpIkSZJ6ZSIqSZIkSeqViagkSZIkqVcmopIkSZKkXpmISpIkSZJ6tWTS\nAUgbsC9AkjWTDmRMrgaumnQQW+jhwE1JVk06kDHYqf1d7PtkaJbR1RVpIWwPMJA2bCiWAasnHcSY\n2G+ZPkOq80OqKyaiUo+Wtr+LvUG/Cdhu0kGMyX3b38W+T4Zm6YZXkTQgq4FjJh2EbmUo/ZYhGVRd\nMRHVtDsToKqWTziOLTZzJW6xl2Uo5YC1V6yHUJYhGdBIgqbTYM4rmkqDOb6GdL7XdPIeUUmSJElS\nr0xEJUmSJEm9MhGVJEmSJPXKRFSSJEmS1CsTUUmSJElSr0xEJUmSJEm9MhGVJEmSJPXKRFSSJEmS\n1CsTUUmSJElSr0xEJUmSJEm9MhGVJEmSJPXKRFSSJEmS1CsTUUmSJElSr0xEJUmSJEm9MhGVJEmS\nJPXKRFSSJEmS1CsTUUmSJElSr0xEJUmSJEm9MhGVJEmSJPXKRFSSJEmS1CsTUUmSJElSr0xEJUmS\nJEm9MhGVJEmSJPXKRFSSJEmS1CsTUUmSJElSr0xEJUmSJEm9MhGVJEmSJPXKRHQBJFme5LB5Xjun\n73i2dkn2TXJ6klVJTkuy16Rj2ppszvef5CFJLkryliQfSLLNPOsdmmS/WcsOSHLAmMKf/XmDKcus\nz5m3zVpMhlKOxah9999rdePcJLtvwrbz1ouN2PaAJA/dnG2laZbkca0+nZXk+CRfSHK/9ay/LMn/\n6DNGaUstmXQA0kJKclfg7cAzquraJHcA5m3INV6b8/0nuQ3wJODgqjq5hzA3ypDKIi2QlVX11iSP\nBl4OvHpjNqqq12zuB1bV0Zu7rTStktwNOAR4WlVdl+S3gb9Zz/q3qarVwOq+YpTGwUR0ASV5I/AM\n4EbggKr6D2D7JMcAvwu8pKpWJ7kEuGR02cSCHp6nAJ+oqmsBquo64KIkBwIvaeu8uqq+Odd+mGu9\nnuNf7Ob7/j8N7EhXN57TEruL6b7/fwUOBH6aZCnwP4H9gDsBfwfcAfiXqnrlzIck2Q74DPAbwM+B\nEyzLppunLJcAFwMPBt4FvAi4B/DMqvrB7DoCfBf4HFDAJVX1qr7inzGUcixidwSuTfII4D3AtsBR\nVfWxJKuAC4F9gI9U1d+1Zfu1f28ClgJHVNXHkxwK7AbsDFwJXA48FTipqt7RXj8H+BXwxvb3zsAT\nq+r6foorjd1T6C7sXAdQVd9OchXwuiQPBL5SVW9PcjRwPfDbSd5FV4f+EtsuLRJOzV049wAeW1V7\n0V3VOrgtvzvwMuCVrO30zLVM47EzcBVAkhckOSfJUXQXCPYBnkm3f2DWfmgjYHOtp4031/f/v+ku\nzOwLfBrYv617T+CPq+ow4GjgtVX12ZH3ehNweFU9BrguyaNGXnsWcH5VPQn4f5Zls81VlrvTJdN/\nDLweeDrwfuC589SR3wNWtbJt1IjYAhhKORabFUnOAj5G992/g+573Rt4YbvIAvCJtmz2+e6sqloO\nPJJuP824qKr2A3YCvlVVj2zvO9tNVfV04CTgceMpkjQRO9HON7N8uar2pktUZ5xbVU8YeW7bpUXD\nEdGFsytwUXt8AfC29vjyqvpFkiuBHdazTONxFV0CQVUdk+Q84EN0o55nzFp39n7YjW70ZPZ62nhz\nff/vBN6XZA+6kZPj27qXVdXP1vNeuwPvTlJ0Iybnj7y2G2vr24VjjH/UkMoyl22Yuywz9eKHdKO3\nt7THuzN3HTkL2DfJJ4GTgZW9laAzlHIsRjNTc3cEjqL7TmdG9O8K3K09/lZV/TLJLbO2f2iSt9GN\noD5gZPm32t8fjjy+fo77Smde81yqxe7X55tZZo7xG0aWzT5P2HZp0TARXTjfpTsJA+wJXNEe18g6\nWc8yjcdJwHFJPl1VP6U75gv4RlU9ByDJtm3d2fvhO/Osp4031/e/A3BzVe2T5I+AXdq6szuls11G\nNzX2QoAkS4A92mvfoatvJ9FdDf7aeIsBDKssc1kGXD1HWUbrxcbUkW2q6pD2fDX9d4KGUo7F7Dq6\niwAX0U2N/lmSbVvyCet+/6PeQDdqfSXw7ZHl69t3bORr0mJyEvDZJJ9q94jej26UdK66M/t8Y9ul\nRcNEdGGE7kR6RRs1uQmn3E5EVV3T7iH6fLv6/ivg3cC92xSym4HT6Ua25tr2xA2tp/nN8/1/EHhD\nkpOB79PVlY3xLuDIJNvTnXgPHHntn+hO2l8G/mtc8Y8aUlnmEOBS4BGbUpZ56siZ7V6lbYFTFzDm\nuQylHIvViiR7A7cFDgN+DHwhXfb5E+DZG9j+eODzdD+4smYhA5WmWWuT3gl8caT+3LSRmz/ctkuL\nRarmuzC59Wk/mEC7R2VL3mcFsLSqPjyGsDbn81fBlpdjGliW6TOUcgAkWQNQVVv1NL5Jt1mzbe5+\nmcJyrILB1JVVsDBlaRcA9q2eOiRD2i+aPkM6voZUFk0nf6xozJLsDxwEHDfpWCRpQ4bSZg2lHFub\nJK8H/rWvJFSSND2cmjtmVXUscOyk45CkjTGUNmso5djaVNX7Jh2DJGkyHBGVJEmSJPXKRFSSJEmS\n1CsTUUmSJElSr0xEJUmSJEm9MhGVJEmSJPXKRFSSJEmS1CsTUUmSJElSr0xEJUmSJEm9MhGVJEmS\nJPXKRFSSJEmS1CsTUUmSJElSr5ZMOoApsy9AkjWTDmQLLQWuT7Jq0oGMwTLg6kkHocHaHmAgdWUn\nYMdJBzEmM/vFtnh6zJwfV004jnFYBqyedBDjkOQg4AWTjkPrsN8yZQZYT46pqiMnHcQ4OCI6TNcz\nnEZwKcPpXEsLaUe6+qLpMaS2eEhWA8dMOogxeQFd4qPpYb/l/7d37/GWlfWd5z9fLl4JV4VgHNoo\nnchkDOA14wVKQLRV1DYqXqgJo3gZ04nz8m5r441o4mXGa5ioibSFKLSKItCIWhQ3gyixAraOtjSi\nEV5Cj0EhLYLymz/Ws6nDqXOKKuqcZ++zzuf9etVrr/Pstff6PXs9z7PWbz1r75o9Y+onBzGipNoZ\n0Ts6H6Cq1kw5DjUjmBHRbBtNn5/MVI2kLjcAVNXu045FgzG1rxHa6H6ZHZ63zKxR9JOR3JVyO2dE\nJUmSJEldmYhKkiRJkroyEZUkSZIkdWUiKkmSJEnqykRUkiRJktSViagkSZIkqSsTUUmSJElSVyai\nkiRJkqSuTEQlSZIkSV2ZiEqSJEmSujIRlSRJkiR1ZSIqSZIkSerKRFSSJEmS1JWJqCRJkiSpKxNR\nSZIkSVJXJqKSJEmSpK5MRCVJkiRJXZmISpIkSZK6MhGVJEmSJHVlIipJkiRJ6spEVJIkSZLUlYmo\nJEmSJKkrE1FJkiRJUlcmopIkSZKkrkxEJUmSJEldmYhKkiRJkroyEZUkSZIkdWUiugySrElywiLP\nXdQ7nrtqbj2S/HGSzybZYd46D0hyclueybqNpR7SctnSmLWSjKUeC2l1uzrJhvbvz5Mc1p7bPckz\npx2jpi/J4a19XJDk9CRfTLL/FtY/KMmLFnnuhXdh+ydtaXt31QL12mspt53k2CTHbX+kW7Wt0dRl\nrOYfS7Zlf4z5OLQcdpp2AJp9SR4D/CnwlKq6bdrx3FVjqYekVWtdVb0JhpMd4AhgPbA78Ezgc9ML\nTdOW5L7A8cBTq+rGJL8HfHAL6+9QVRuBjYus8kLg75Y+0s1i2OLxeJF63W0541ouY6qLtBScEV1G\nSV6X5OIk65Ps14p3S3JKkn9MclBb74r5ZTPk94H3AM+uql8mOb5dyVuf5AHzV05y9yRfnvP3V5Ps\n3C/cRY2lHtKySXJakvOTnJtk11Z2RZKT2+PzkpyV5LIk92/PH5fkwvbvoUn2bH3rvCQfsB7L5iXA\n2iRfbctPaPHed6H6a1V4MsPFihsBqur7wLXAq5NclOTNcPvszoeAcyazN/Pbe5KnAQ9pZU9IckSS\nS9q/I9r7bEjywVb2kjlxzN/e/q0tnp/kTfNjuIv12rudX12S5Ji5Kyd5y5wYT8pwx9OxST7T+v2X\nkrw8w4zkx+a89Kj23BeS3C1zZhbbe65J8ugkX2+f04IzyauoLqvNQvtir/b5nd0+6zVt3YdluBvh\n4iS7ZHBihnPOs5Ls4ec/MBFdPr8NHFZVj2G4+vWGVr43w1XGlwN/soWyWXEk8KWq+v+S/CHwO1W1\nhmFm8Q3zV66qXwFXtwPP7wNXVtWtXSNe2FjqIS2nY6vqUOA04OhWtjdwHPBS4DXAUcB7geckuQ/w\nNOAQ4OkMY93BwIaqejzwir7h324s9ZhvbTv538Awi7Wuqg4HPgJ8uarWVNX1LFx/jd++DInnfF+q\nqscyJEETF1fVkXP+vkN7r6ozgCtam/oy8BaG4+iRwNvmvO7TwGOAY5NMZvbmb+8vgBe1NvkHaRd/\nFohhW+r1duAFwOOAP8vWXSj+SVU9BbgauHtVHQLsl2TP9vx1VfVE4GsMdxgs5N8Ar2uf012ZLR5T\nXcZu7nj7pEXWOQ74m6p6Mnec2b6lqo4CzgYOB54K/KiqDgM+BLwMP3/ARHQ5PQC4vC1/E5jcW/6D\nqroZ+AnD7VSLlc2KE4HHJHkS8GBgTeuUJwKLXWn/JPDc9u9TPYLcCmOph7RcdgTeneQC4N8B92vl\nk/HpGuC77Ta6a4A9gAcCBwLnMdwWujtwAbBDkk8Cx9DfWOqxkHUtMVgDXLrQCkkWq7/G71oW3t/f\nbo+/nFN22bx17qy9V1X9oqp+AfxmTvm3quo3DAnR3ots7/eBde2YewDwO4vEsJiF6rVHVf2wXSC+\nas62AWrOcuYsT+K6Zt7yHpO6tMeNDOdsC73PiQwXr04GHrGV8c81prqM3dzx9hzgv855bvIZ/i6b\nzvXn3uI+2SeT8/oDgOe2PvBGYE/8/AET0eX0Q4YTG4CHA1e25YUGg8UGmlnwa4Yr6icAPwLOndMx\n/7dFXnM+w5W9x7XlWTCWekjL5SDg3u3K+odZeHyaP1ZdBXxjTl96ArBjVR1fVS8AXrX8YW9mLPW4\nM7cyJN3zlxerv8bvbOCYJL8Fwy2xDDNwtcC687+XuVB7n/u6HZLsmuFW7x3nlB/YLn78K+C6BV4H\n8D3gea1vPQz4xiIxbEu9bm63Ru7McCHpujnr/xzYN0mAP5hTvqUxADadsx3IcM72c4bPD+Ah7fGf\nq+rlwGuBt25l/GOty2rzL2y+L65i0+f5h3PWnb9Pvgd8oh1jHgv8e/z8AX+saLmE4SrIlUm+BtzC\n7N1yu9Wq6mdJ1gLrgNPbFZ1imCU8d4H1b0tyObDTLP0o0FjqIS2DAN8BHpXkHODHDGPYFlXV9e37\nLhcwzJKsB85P8g5gZ+AryxjzQsZSj8WsTfLYtvxxhrs8TgWeD+yZ5DPAK4H9t6X+GofWjt8OnNlO\nln/GcP6xNR65QHu/NMnnGW5hfysw+d2E4+e87tnA+4CPV9Utw2Y380bg75LcneGiyR9vQ7UWq9fr\ngVMYkuIPV9Wtc7b9OeB04BnADduwqb2SnAvc3Op1N+A1SR7V4gZ4aYZfqN4F+KttqcfY6rIKXQr8\n39xxX3wM+GyS/53h2HErQx+a7wzgA0nWt7/fBzzQzx9StdCFstWpJSa0q3bb8z5rgV2q6sQlCGtF\nSvIu4D9V1TfudOUtv88NAFU1lVuWl6oe7b02wPa3r2kbSz3Ausx57UyNWXe1389aPcZkTH1lTKa5\nX9q2j6iqX/fe9iyb9nnLUhpLv1+ueqT9V4Bt4uIs4CVVtawX/8ayTyacEV1iSY5m+AXDbbriNyZJ\n3gb8q6VI3qZpLPWQtmQsY9ZY6iFJWjF2Ac5qP9T1leVOQsfIRHSJVdWpwKnTjmOaqur4O19r9o2l\nHtKWjGXMGks9pJViLDMy0l3VfrzrcdOOYyXzx4okSZIkSV2ZiEqSJEmSujIRlSRJkiR1ZSIqSZIk\nSerKRFSSJEmS1JWJqCRJkiSpKxNRSZIkSVJXJqKSJEmSpK5MRCVJkiRJXZmISpIkSZK62mnaAcyY\nQwGS3DDtQJbAT4Frpx3EEtgNIMmGKcexFB4J3DKCukz6yYYpx7EUDgI2TjsIbWYs/X5fYJ9pB7FE\ndgFuGsE+mTilqj4y7SCWgOcts2cyfo1hn+wCXDntIDRezoiO0y6M5+RnTG4B7jbtIHQHG4FTph2E\nRmsfhvF4DG5iSBTG4CDg+dMOQnfgeYu0CjkjekfnA1TVminHsV0mV6xXej3GZiz7ZSz10ExzLNay\nGdGsLthXZs4Y6yItF2dEJUmSJEldmYhKkiRJkroyEZUkSZIkdWUiKkmSJEnqykRUkiRJktSViagk\nSZIkqSsTUUmSJElSVyaikiRJkqSuTEQlSZIkSV2ZiEqSJEmSujIRlSRJkiR1ZSIqSZIkSerKRFSS\nJEmS1JWJqCRJkiSpKxNRSZIkSVJXJqKSJEmSpK5MRCVJkiRJXZmISpIkSZK6MhGVJEmSJHVlIipJ\nkiRJ6spEVJIkSZLUlYmoJEmSJKkrE1FJkiRJUlcmopIkSZKkrkxEJUmSJEldmYhKkiRJkroyEZUk\nSZIkdWUiugySrElywiLPXdQ7Ho1HksOTbEhyQZLTk+y1la87Kcn+yx2fVp42Xl3d2tXFSQ6Ydkza\n3Lz9tCHJnyc5rD23e5JnTjvGxWzpmKjpW+C48sUtHS+SHJTkRT1jHKOtOZ5vz7E7ybFJjtv+SDVh\nX1l6O007AElbJ8l9geOBp1bVjUl+D7jblMPSOKyrqjcleTTwMuAVAEl2qKrbphua5lhXVW+CIbkD\njgDWA7sDzwQ+N73QtBItclz54BbW36GqNgIbe8U4Rh7PVx77yvJwRnQZJXldm2FYn2S/VrxbklOS\n/GOSg9p6V8wvkxbwZIYT0RsBqur7wN6tjV2S5BiAJAfOL5tI8vgkn0yyc//wtQLsCvyiXfF9F/CJ\nJLslObNdAf4AQJJPt/IXJ/l8KzszyY6t3X00ycYkT5pmZUbuJcDaJF9ty09o++2+SU5Lcn6Sc5Ps\nOuU4b7dQXO34d3J7fF6Ss5JcluT+7fnjklzY/j00yZ6tnudN2qO2y0LHlWuBVye5KMmb4faZuQ8B\n50xmuN0X22WrjucTSd6S5Ii2fFKSB7QZz8+0PvOlJC9v4/TH5rz0qPbcF5LcLclOST7V1vtUEiek\ntp59ZRmYiC6f3wYOq6rHMFxBeUMr3xt4IfBy4E+2UCbNty/DoDfX24EXAI8D/qwlmAuVAawBXgwc\nW1W3dolYK8XaJBcAHwdOa2WnV9UxDEnOqVV1CHCvJI8Cvg78EfAI4Fetjd1WVb8B9gTeCDwFeGnn\neozd2nYys4HhKvu6qjoc+Ajw5apaU1XXM/TxQxn25dHTC3czC8W1N3AcQ1t5DXAU8F7gOUnuAzwN\nOAR4OsOx9GBgQ1U9njZzr+2y0HEF4EtV9ViGk++Ji6vqyDl/uy/uuq09nt+Zn1TVU4Crgbu3cXq/\nJHu256+rqicCX2O4a+LfAt9p6/0X4I+3vyqrhn1lGZiILp8HAJe35W8Ck3vIf1BVNwM/YbidarEy\nab5rgfvNK9ujqn7YEsurGE7qFiqD4STuzSahWsC6dmJyEPCOVnZZe3wQ8A9teTKWXQw8Grgnwzh3\nNPCtts71VXVdVTmeLb11LdlcA1y60ApJdgTe3S4s/Ds2HzOmZbG4Jse/a4DvtlvBrwH2AB4IHAic\nx3Db8e7ABcAOST4JHIO210LHFYBvt8dfzim7bN467ou7bmuP5xM1Zzlzlif76Zp5y3u05cm4vJFh\n7F5oPNfWsa8sAxPR5fNDhgMowMOBK9vyQoPJYgOMNNfZwDFJfgsgwxfkb2636OzMcNJ2HXDDAmUA\nxwIntlkGaSE3MtyeCzD5buiVwMPa8mQs+xZwJPBThqT01QxX3MHxrJdbGZK7+csHAfduFxY+zOzs\ng8Ximtte5redq4BvzEm+nwDsWFXHV9ULgFctf9ijt9BxZV/uuC8m5n9f3H1x123t8Xzi58C+SQL8\nwZzyLfUf2HQeeiDD2L3QeK6tY19ZBt4bvjzCMLt5ZZKvAbfgLbfaTlV1fZK3A2e2g9HPgNcDpzCc\nhH64qm5NcvwCZQA/Yrgl5OQkz6qqm6ZSEc2itUkeC9wDOIEhsZz4KHBKkhcDl1fVJQBJbmFIQi8F\nHgxc0jfkVWmyn2C4jfoxSU4Fng/smeQzwCuB/ZOcA/yY4Vg0bQG+AzxqW+JqY95ZbRb1Nww/zHR+\nkncAOwNfWcaYV4VFjiu3bOXLH+m+uGu24Xg+ecnngNOBZwA3bMOm9kpyLnAz8GyGBOlZrU9dC/zV\nUtRnNbCvLI9ULZTIr07teze0K6/b8z5rgV2q6sQlCOuubH8DbH89tLTGsl/GUo+xGdN+GUtdxlKP\n7TXtY+J8Y9ovY6nLWOoB1mUWjaUeMK66gLfmLrkkRzP8uMdnpx2LJEnT5DFRkrQYb81dYlV1KnDq\ntOOQJGnaPCZKkhbjjKgkSZIkqSsTUUmSJElSVyaikiRJkqSuTEQlSZIkSV2ZiEqSJEmSujIRlSRJ\nkiR1ZSIqSZIkSerKRFSSJEmS1JWJqCRJkiSpKxNRSZIkSVJXJqKSJEmSpK52mnYAWhb7Avsk2TDt\nQHQHBwE/nXYQGq1DAZLcMO1AlsAuwE0jGMMm+2TDlONYCvsC+0w7iCUylvYFHlekrTG24+OV0w5i\nqZiIjtM+DA1Vs8V9Im2dm/DketZMjis3TTuQJTCm9uVxRdKKZSI6XjdV1ZppB6FNRnIlTrPrfAD7\n/eyYzLiNYZ+MqS5j4nFF2iqjOT6O5E6O2/kdUUmSJElSVyaikiRJkqSuTEQlSZIkSV2ZiEqSJEmS\nujIRlSRJkiR1ZSIqSZIkSerKRFSSJEmS1JWJqCRJkiSpKxNRSZIkSVJXJqKSJEmSpK5MRCVJkiRJ\nXZmISpIkSZK6MhGVJEmSJHVlIipJkiRJ6spEVJIkSZLUlYmoJEmSJKkrE1FJkiRJUlcmopIkSZKk\nrkxEJUmSJEldmYhKkiRJkroyEZUkSZIkdWUiKkmSJEnqykRUkiRJktSViagkSZIkqSsTUUmSJElS\nVyaikiRJkqSuTEQlSZIkSV2ZiN5FSdYkOWHO3ycl2X8Zt3dSkgcs03uPpi53st3dkmxo/37eHivJ\nw3rHsj3GUg/Nhtb/r27t6OIkB0w7prsiyaFJ1rd6fDXJY7bx9RuWKbQVZf7xYBm3c2yS77X99Z+3\n8bUfXK64trDNw1usFyQ5PclevWNYKmOqi9TTAn3ni1s6X05yUJIX9Yxxpdlp2gFoYUl2qKrbph3H\nUpiVulTVz4E1AEkuqqo1Uw3oLhpLPTRT1lXVm5I8GngZ8AqYnb57Z5LcB3gr8LSq+kWS3wK2eDFt\npdRt5N5dVR/b1hdV1Z9t74a3Zf8nuS9wPPDUqroxye8Bd9veGBbZVgCqqpbp/UdTF6mnRfrOohfF\n2hizEdjYK8aVyBnRpXXvJGe2KyUfAEjy6TaD9eIkn29lZybZMcn7k5yf5MIk+7XnLklyIvCeJL+b\n5OtJzgAeaF2WXpK3JDmizQKcneSMJH/frtZ/NclZk4PpLBtLPTR1uwK/aFd83wV8ovX5bRkLLkny\n0SQbkzypU9xPBk6uql8AVNWNVfWtJK/LMMu7fs649I9JTgZem+QRSf4hyWnAHu35/dr6Fyd5XSt7\nS5JPJPlKkm1OnFaiJKe1Mf3cJLu24ocnOTnJFUme18aVy5Lcv73muHYMuDDJQ5Ps2drSeZO2cyfb\nfGprZ1+btJ2F2lOSi9rjSUlObPvqhCQfavG8sD1/YHvukiTHzHnNh4BzMjix7e+zkuyxSGhPZrhY\ncyNAVX0f2HuB915se3/b6vW2VnbfNkafl+SvW9lbknwc+BJwn23cXdtiTHWRelqo71wLvDrJRUne\nDJuNMWva2LRNY+FqYiK6fda2hrUBeBJwJHBqVR0C3CvJo4CvA38EPAL4VZKdgduq6jfAG6rqUIYr\n+S9t73kf4C+q6pXAa4BXAs8ElvvWmTHV5a66taqeBnwROLiqDgd+Ahw83bC22VjqoX7WJrkA+Dhw\nWis7vaqOAV7Cto0FewJvBJ7CprFgud2P4YSAJM9vJwUfAw6rqscwXMV+Q1v3/sBLq+ovW/kzgBe2\ncoDXAW9ur3t8kvu18m9V1RHAfkl271Kr6Tq2jemnAUe3srsBxzHs19cARwHvBZ6TYVb6acAhwNMZ\nPtuDgQ1V9XjaLPs8r2nHnXcm2QF4NXAYwx0fr2nr3Fl7Orftq2cDfws8aEu5twAAFiJJREFUGpjc\nCvd24AXA44A/a+0U4OKqOhJ4KvCjqjoM+BDD3QAL2ZfWvuZY6L0X29761n8emuR3gNcD72yfy41J\n/te23ver6siqun6ROJbCmOoi9bRQ3wH4UlU9liFRnZiMMRN3NhauWt6au33WVdWbYLgCAjyRTQ3s\nmwy3hl3McAC9J3A5wwH9W22d1yY5HNgZ+G4ru66q/qktP5Dh5OfXSS63Lsvu2+3xGuD6OcuLXSWf\nVWOph/qZ3Jq7DzCZ8busPT4IOLstb81YcH1VXQfQMWG7liEZpapOSfI14P9psU3ifnNb/l5V/Utb\n3r2qftRi/X4rexDwD215I/C7bXluv9oNuGEZ6jErdgTeneQhDLPkp7fyX1bVzUmuAb5bVbe15QMY\nxvgDgfPmvM8FwKFJPgmcA6ybt53bb81Nsnd7n6+05/ZOEu68PU32y7XAt6vq1iSTW0H3qKofttde\nBezdyidt+wDguUmeyHA+9PeLfB63t685FnrvxbY36RtXMLSnA4C/bHHuAlw6L67lNKa6SD0t1Hdg\n0xj0yzll89v/nY2Fq5YzokvrS8DkB2MeDlzJMGgfCfyU4eTt1cDXMvw4wJqqehzwH4DJbZNzv7Ny\nFXBgkh2Bhyx/+HcwprpsrVpkeaXd0jqWeqi/GxkSD9jUf69kK8eCts402tzZDLO6u7W/JxdZD2yP\nk7jhjuPSz5PcP8m9gX/dyubW92Dgh215NfWlg4B7t5mvD7Nwfed/HlcB36iqNe17608Adqyq46vq\nBcCr7mSb/50huTm8vf7A9t3CO/vcFxvvAG5I8oA2m/dA4LpWPmkD3wM+0WJ+LPDvF4ntbOCYDN89\nJsOPk9y8wHsvtr1JO/xfGNrT94BXtu0+HPjCvLiW05jqIvW0UN/Zl83HHdi8/W/LWLiqOCO6tM4D\n3pbkxcDlVXUJQJJbGE7WLgUeDFzCcMJ3U5L1bLpqP997gFMYTvZ+usyxzzemukjasrVJHgvcAziB\nIbGc+ChwylaOBVNRVdcneQvwhSS3Ab8G/hJ4VJsdvQX4kwVe+nbgDOD7wI9a2buA/5jkbsAXq+on\nWV1frw7wHYbP7hzgxwy39m9R2wdntVu8fwOsB85P8g6GO2W+cievvy3J/wV8tc2ufQf40+2rCscz\nHHd2BD7cZkvnPn8G8IF27AJ4XyubH9v1Sd4OnNlmaX/GcEvq/PdebHuHJnk5cH5V/VP7TD7SLpzc\nxnC7cxdjqovU0yJ955atfPkjt3YsXG3ij5lt0r4fyUr/FdIkNwBU1Wr4HtOKMZb9MpZ+Mjbul9mz\nEvdJkrXALlV14rzyDbCy6jIL2lddTqiqHyzT+3c7rixnXcbUvqzL7BlLPWBcdQFvzZUkSUCSoxl+\nnOqz045FkjR+3porSZKoqlOBU6cdx5hU1bHTjmGpjKkukmaDM6KSJEmSpK5MRCVJkiRJXZmISpIk\nSZK6MhGVJEmSJHVlIipJkiRJ6spEVJIkSZLUlYmoJEmSJKkrE1FJkiRJUlcmopIkSZKkrkxEJUmS\nJEldmYhKkiRJkrraadoBzJhDAZLcMO1AttNuAEk2TDmOpbAvsM+0g1giY9kvBwEbpx2ENjOW8Wvi\np8C10w5iO42pr9i+ZpPHldkz6SsbphzHUhjTftEMckZUs24fYJdpB6E72AicMu0gNGq7MI4LUPaV\n2TSW9jUm9pXZ5H7RsnJG9I7OB6iqNVOOY7tMrsKt9HqAdZG2wSjGL7CvzCjbl7QVqirTjkFaKZwR\nlSRJkiR1ZSIqSZIkSerKRFSSJEmS1JWJqCRJkiSpKxNRSZIkSVJXJqKSJEmSpK5MRCVJkiRJXZmI\nSpIkSZK6MhGVJEmSJHVlIipJkiRJ6spEVJIkSZLUlYmoJEmSJKkrE1FJkiRJUlcmopIkSZKkrkxE\nJUmSJEldmYhKkiRJkroyEZUkSZIkdWUiKkmSJEnqykRUkiRJktSViagkSZIkqSsTUUmSJElSVyai\nkiRJkqSuTEQlSZIkSV2ZiEqSJEmSujIRlSRJkiR1ZSIqSZIkSerKRFSSJEmS1JWJ6F2UZE2SE+b8\nfVKS/ZdxeyclecByvf9qkGS3JBvav5+3x0rysGnHJk1LG8uubv3h4iQHTDsmjcv846UkrTSOY8vD\nRHRGJXHfLLGq+nlVramqNcAVbTlVddm0Y5OmbF3rF68BXjYpdBySJEnLxZOMpXXvJGcmuSDJBwCS\nfLrNxL04yedb2ZlJdkzy/iTnJ7kwyX7tuUuSnAi8J8nvJvl6kjOAB06vWuOV5C1JjmhXus5OckaS\nv09ybJKvJjkrSaYdp9TJrsAv2uzou4BPtPFrW8a1S5J8NMnGJE+aZmU0W5Kc1o555ybZtZVdkeTk\n9vi8NuZeluT+7fnj2jHywiQPTbJna5/nTdqjJHWy2fizyLn8QmXPaMfH85IcOs1KzBIT0e2zdnKr\nJ/Ak4Ejg1Ko6BLhXkkcBXwf+CHgE8KskOwO3VdVvgDdU1aHAW4GXtve8D/AXVfVKhtmJVwLPBPbq\nWK/V6taqehrwReDgqjoc+Alw8HTDkpbd2iQXAB8HTmtlp1fVMcBL2LZxbU/gjcBT2DSuSQDHtmPe\nacDRrWxv4DiGtvIa4CjgvcBzktwHeBpwCPB04HiG8XhDVT0eeEXf8CWtcguNPwudy9+hrN1d9Ebg\n8e21F3aOe2btNO0AVrh1VfUmGL7DCTyRTQ3zm8D+wMUMJ2T3BC5nOPh+q63z2iSHAzsD321l11XV\nP7XlBwLfqqpfJ7l8mesi+HZ7vAa4fs7yHtMJR+pmXVW9Kck+wMda2eSW9QcBZ7flrRnXrq+q6wCS\n7N4hdq0MOwLvTvIQhpn301v5D6rq5iTXAN+tqtva8gEMx8ADgfPmvM8FwKFJPgmcA6zrVgNJq916\nYId5489C5/Lzy+4LXF1VvwSoqtu6Rz6jnBFdWl8CJj9883DgSoaTsyOBnzKcvL0a+FqSvYA1VfU4\n4D8Ak9s/5zbOq4ADk+wIPGT5w1/1apFlb83VanEjQ5IAm8aiK9nKca2tY9/RQg4C7t1m1j/Mprax\npXH3KuAbc77b/wRgx6o6vqpeALxq+cOWpNvdfe74s9C5/CLn99cD+yW5B/j7C3P5QSyt84DnJrkQ\n+FVVXVJVtwK3MJysXQo8GLgE+GfgpiTrGWYWFvIe4H0MV45/utzBS1q11ravGKwH3j3vuY+y9eOa\ntJAA3wH2T3IO8MiteVFVXQ+c1b6ffB7weuCRSS5K8nXgK8sWsSRt7qHzxp+FzuU3K2szoO8Ezm/l\nj+sf+mxKVd35WqtEOxGjXXldscZSD7Au0tYaU/saU13GYnv2SZK1wC5VdeISh3WX2L6k1WVMfX5M\ndQFnRCVJ0jJJcjTDD159dtqxSJJmiz9WJEmSlkVVnQqcOu04JEmzxxlRSZIkSVJXJqKSJEmSpK5M\nRCVJkiRJXZmISpIkSZK6MhGVJEmSJHVlIipJkiRJ6spEVJIkSZLUlYmoJEmSJKkrE1FJkiRJUlcm\nopIkSZKkrnaadgDSKrIvsE+SDdMORHdwSlV9ZNpBSOrGsXj27Nser51qFJpvLPvlUIAkN0w7kCWw\nC3DltINYKiaiUj/7MAwgmh0HtUcTUWn1cCyePQ9qjys94Rkb94uWlYmo1NdNVbVm2kFo4IyItGo5\nFs+QyUyV+2S2uF9mz9jOW/yOqCRJkiSpKxNRSZIkSVJXJqKSJEmSpK5MRCVJkiRJXZmISpIkSZK6\nMhGVJEmSJHVlIipJkiRJ6spEVJIkSZLUlYmoJEmSJKkrE1FJkiRJUlcmopIkSZKkrkxEJUmSJEld\nmYhKkiRJkroyEZUkSZIkdWUiKkmSJEnqykRUkiRJktSViagkSZIkqSsTUUmSJElSVyaikiRJkqSu\nTEQlSZIkSV2ZiEqSJEmSujIRlSRJkiR1ZSIqSZIkSerKRFSSJEmS1JWJqCRJkiSpKxNRSZIkSVJX\nJqKSJEmSpK5MRCVJkiRJXZmILpMka5JcneS8JF9Oste0Y1rNkvzXJM9tyxuS7JTkLUmOmHZs22pM\ndQH7yixr++aEaceh2dKrXSTZL8lX2zj3tST/0yLrHZTkRVt4nxcuYUwrrk8kObx9hhckOX3sY+xK\nq29rUzcm2b39fVKS/bfxPZasjW+PMdVlvpXY91cCE9Hlta6qHg/8R+B50w5mtUpyIHARcNS0Y9le\nY6rLPPYVSfP9OfCOqloDHAZcv9BKVbWxqv52C+8zkye2PSS5L3A8cFRVHQK8DrjbEm9jZs4le9R3\nmfwYOG47Xj9LbXxMddEym5nBY+QmV4aOSHJJ+3dEK9uQ5L1JvrGlK7raLs8E/hq4V5K7z38ygxOT\nrE9yVpI92pWv/5zki0kuTrJL/7AXNKa6LGTSV96Q5PwkX09ycJJ9k5zantspyfrphrm6JHldazvr\nk+zXyq5IckqSf0xy0LRjVH9JTmv99Nwku7ayK5Kc3B6f18ahy5Lcvz1/XJIL27+HJtmzHQfPS/KB\neZv4H8CaJLtW1c1VdXOS+7V1L0ry1+09b5+pmN8uk7wEeEjbxkNWUN2XypMZLvTdCFBV3wee1Lb7\nzSRHtthOaseOi5OckORDLfYXtuf3b3U9P8mb5rzmQ8A5bVz+VIZZyE+1v6dx7FmS+k7BF4CjkuzY\n/r5n+xzXJzk1yc5JPp1ktyQvTvL5Vo8zkzydTW38CZn+ueaY6jLfZn02yftbv7gwm46PC5U9o9Xj\nvCSHdo57ZpmILq+1Sb4JvBxYB7wFOLL9e9uc9U4GHgv8Se8AV4mDq+obwDnAQrevPhX4UVUdBnwI\neFkrv6WqjgLOBg7vEumdG1Nd5prfV95fVYcCLwBeXVXXMiTfv8UQ/1emF+qq89vAYVX1GIaZhje0\n8r0Zrly/HMeu1erY1k9PA45uZXszzIa8FHgNw90b7wWek+Q+wNOAQ4CnM7Sng4EN7Y6IV8x7/3cD\n9wK+keQ/Jbk38N+BJ1TVY4Fdk/zrea+5Q7usqo8AV1TVmqq6YgXVfansC1w7r+zUNst8OPDqOeXn\ntn7+bOBvgUcDkxP9vwBe1Or8B5PkGri4qo4E/i3wnTYL+V+AP27P9z72LFV9e/sN8EWGi80Aa4Az\n2rF8A/As4OvAHwGPAH6VZGfgtqr6Apva+JeZ/rnmmOoy30J99g2tX7yVoe9vVpbhroE3Ao9vr72w\nc9wza6dpBzBy66rqTUlOAvYDqqp+AZDkN3PW+3ZV3ZrktmkEOWYZvpvwkCTnAHcHvr/AagcAz03y\nRIY+8fet/Nvt8Se0mbppGlNdFjC/rzw6yQuA24Bq63yO4QTuMMDvafTzAOBbbfmbwJvb8g/aDNWs\ntiktrx2Bd2eYZdwVOL2VT9rFNcB3q+q2tnwA8EDgQOC8Oe9zAXBokk8yXGBbN3mizWq9CnhVktcD\naxlmW07M8B20BwD3mxdXj3a57HVfQtey+Wf0xCSvAMKQPE98e85rJuclk/H394F1SWD4XH+nlV/W\nHh8E/ENb/ibwMOCn9D/2LFV9p+FjDBc2rgH+DbBXkpcC9wA+BVwMPAW4J3A5wwWQby3wPrNwrjmm\nusy1HthhXp99bZLDgZ2B77b15pfdF7i6qn4JUFWe7zcmon28k+Gqzg5pt/AwHMgmpjnwjd0zgeOq\n6qsASc5g8zsBvgd8oqre29bZGXgMd9wv6RDrnRlTXRYz6Sv/M8OVxwcBH23PfRb4JLBzVf23qUS3\nOv2Q4QQa4OHAlW15pbQpLY+DgJ9W1SFJXsymxGRuu5jfRq4CvlFVz4Lbx6cdq+r49vdG5iRjSR4E\n/LeqKobvh94deD7w+ao6qZ0Mzm97C7XLpT7GLnvdl9DZwGeSfLqqbmwXNN8F/CHD53nxIjHP/8y+\nB/yfVXVtu+WygP+D4WIhDOPCw4CzGMaJHyzwPj3GiaWqb3dVdUOS7zHM3P4N8E9V9Vm4vb0AvJ+h\nDhcD72P4DizcMf6pn2uOqS7z3L2qXg1Dn01yNrCmqh6X5AnACzL8ONYdyhjGr/2S3KNdrNrBZHRg\nItpBVX0vwxfo/wb4cis+foohrSZPAT445+/vsGmwmzgD+EA2fe/wfcAvOsS2rcZUlwXN6SuXMswW\nXDDnuV8kuRlvy+0pDDMZVyb5GnAL3oaroV18B3hUu0PjxwztZIuq6voM35u8gOH2vfXA+UnewTBz\nML9vHwG8MMn/AG5kOKHbH/hEkmdsQ7w/TvJZ4I1V9f9uw+sW0qvuS6Jt9+3AmRmmM3/GcFvjBQzj\n7A1b+VZvBP4uw28T3MqmW28nPg88q9XvWuCvGC6CdrWE9Z2WDwB/ytA+Xpfk5Qxt7g1V9fUktzAk\nbpcCDwYuaa+7NMN3Ld/LcDvoLJxrjqkuEw9NchGb+uw/Aze1c67L2zqblbW7I97J0Of/haFe53eP\nfgZluNAoGL4ADdC+S7BijaUeMLq63ABQVd7GeBclOQV4VfvO6FK83wYYTfvaAEtblyRrgV2q6sSl\nes+t3O4GGMd+GYu5+2Ra7WKpbM9YvNLrPqs8Ps4m98vsGdvx0R8rkrQiJPkIcN1SJaHasiRHAy9h\nuCVaAlZ3u1jNdZek5eCtuZJWhKp6ybRjWE2q6lTg1GnHodmymtvFaq67JC0HZ0QlSZIkSV2ZiEqS\nJEmSujIRlSRJkiR1ZSIqSZIkSerKRFSSJEmS1JWJqCRJkiSpKxNRSZIkSVJXJqKSJEmSpK5MRCVJ\nkiRJXZmISpIkSZK62mnaAcyYQwGSbJhyHNvrIGDjtINYImPZJwC7wWjqMhb2ldk0pv0yFmNqX47F\ns8d9MpvcL7NnVMdHZ0THaSNwyrSDkFYA+8pscr9IkrS5UR0fU1XTjkGSJEmStIo4IypJkiRJ6spE\nVJIkSZLUlYmoJEmSJKkrE1FJkiRJUlcmopIkSZKkrkxEJUmSJEldmYhKkiRJkroyEZUkSZIkdWUi\nKkmSJEnqykRUkiRJktSViagkSZIkqSsTUUmSJElSVyaikiRJkqSuTEQlSZIkSV2ZiEqSJEmSujIR\nlSRJkiR1ZSIqSZIkSerKRFSSJEmS1JWJqCRJkiSpKxNRSZIkSVJXJqKSJEmSpK5MRCVJkiRJXZmI\nSpIkSZK6MhGVJEmSJHVlIipJkiRJ6spEVJIkSZLUlYmoJEmSJKkrE1FJkiRJUlcmopIkSZKkrkxE\nJUmSJEldmYhKkiRJkroyEZUkSZIkdWUiKkmSJEnqykRUkiRJktSViagkSZIkqSsTUUmSJElSVyai\nkiRJkqSuTEQlSZIkSV2ZiEqSJEmSujIRlSRJkiR1ZSIqSZIkSerKRFSSJEmS1JWJqCRJkiSpKxNR\nSZIkSVJXJqKSJEmSpK5MRCVJkiRJXZmISpIkSZK6M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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -714,7 +457,18 @@ } ], "source": [ - "plot_board(restart_dominoes(tiles1970))" + "plot_board(restart_dominoes(xkcdtiles))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "![](https://imgs.xkcd.com/comics/name_dominoes_2x.png)\n", + "\n", + "I'm happy with the results, but here are some ideas for improvements, if you want something to work on:\n", + "- Allow tiles that are 1 or 3 squares wide, like `('PRINCE',)` or `('FRANK', 'LLOYD', 'WRIGHT')`.\n", + "- Print names horizontally in tiles that are placed horizontally, and upside down for tiles that are placed vertically, but with the first name on the right.\n" ] } ], @@ -734,7 +488,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.0" + "version": "3.5.3" } }, "nbformat": 4, From 07371fbba0f4f57b8d0b87a861219e4858b5218e Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Sun, 25 Mar 2018 23:53:00 -0700 Subject: [PATCH 38/90] xkcd-Name-Dominoes.ipynb --- ipynb/xkcd-Name-Dominoes.ipynb | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/ipynb/xkcd-Name-Dominoes.ipynb b/ipynb/xkcd-Name-Dominoes.ipynb index 8398481..70e5b18 100644 --- a/ipynb/xkcd-Name-Dominoes.ipynb +++ b/ipynb/xkcd-Name-Dominoes.ipynb @@ -257,8 +257,8 @@ " Oscar de la Renta, Oscar de la Hoya, Sean Hayes, Wallace Shawn, Wayne Howard, Wayne Brady, \n", " James Brady, Tom Brady, Helen Thomas, Tom Hanks, Hank Aaron, Aaron Carter, Stephen James, \n", " Will Smith, Kevin Smith, Kein James, Garfield, James Garfield, Warren Buffett, Jimmy Buffett, \n", - " Warren Beatty, Elizabeth Warren, Earl Warren, Eliabeth Kolbert, Stephen Colbert, George Wallace, \n", - " Charles Wallace, James Monroe, Marilyn Monroe, Hank Williams, William C. Williams, Steve Harvey, \n", + " Warren Beatty, Elizabeth Warren, Earl Warren, Eliabeth Kolbert, Stephen Colbert, George Wallace,\n", + " Charles Wallace, James Monroe, Marilyn Monroe, Hank Williams, William C. Williams, Steve Harvey,\n", " Domino Harvey, Harvey Milk, James Saint James, Etta James, Jim Jones, James Earl Jones, \n", " Charlie Parker, Ray Parker, Ray Charles, Charles Manson, Marilyn Manson, Robin Williams, \n", " Billy D. Williams, Will Wright, Fats Domino, Bill Clinton, Jimmy John, Tom Jones, Tommy John, \n", @@ -284,7 +284,7 @@ " Justin Long, John Bel Edwards, John Candy, John Henry, Henry James, Bill James, Chris Cooper, \n", " Chris Hemsworth, Chris Evans, Topher Grace, Van Morrison, Sheryl Crow, Sheryl Sandberg, \n", " Cameron Crow, Long John Silver, Olivia Newton John, Huey Long, John Edwards, Candy Crowley, \n", - " Aleister Crowley, James Fenimore Cooper, James Cook, Robert Frost, Bob Evans, Evan Tayler Jones, \n", + " Aleister Crowley, James Fenimore Cooper, James Cook, Robert Frost, Bob Evans, Evan Tayler Jones,\n", " James Cameron, Cam Newton, Cameron Diaz, Huey Newton, Huey Lewis, John Lewis, Jenny Lewis, \n", " Ryan Lewis, Burt Reynolds, Alistair Cooke, Alistair Cookie, Cokie Roberts, John Roberts, \n", " Robert Johnson, Robert E. Lee, Tommy Lee, Tommy Lee Jones, Etta James, John Oliver, \n", From ada7fdf3c9ca4efe35a717f4ae934af8c5735000 Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Mon, 26 Mar 2018 00:06:19 -0700 Subject: [PATCH 39/90] xkcd-Name-Dominoes.ipynb --- ipynb/xkcd-Name-Dominoes.ipynb | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/ipynb/xkcd-Name-Dominoes.ipynb b/ipynb/xkcd-Name-Dominoes.ipynb index 70e5b18..15790aa 100644 --- a/ipynb/xkcd-Name-Dominoes.ipynb +++ b/ipynb/xkcd-Name-Dominoes.ipynb @@ -468,7 +468,7 @@ "\n", "I'm happy with the results, but here are some ideas for improvements, if you want something to work on:\n", "- Allow tiles that are 1 or 3 squares wide, like `('PRINCE',)` or `('FRANK', 'LLOYD', 'WRIGHT')`.\n", - "- Print names horizontally in tiles that are placed horizontally, and upside down for tiles that are placed vertically, but with the first name on the right.\n" + "- Print names vertically in tiles that are placed vertically, and upside down for tiles that are placed horizontally, but with the first name on the right.\n" ] } ], From a912843c34555a40bb91428f64de66d80f79e49b Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Tue, 27 Mar 2018 00:03:13 -0700 Subject: [PATCH 40/90] xkcd-Name-Dominoes.ipynb --- ipynb/xkcd-Name-Dominoes.ipynb | 306 ++++++++++++++++----------------- 1 file changed, 153 insertions(+), 153 deletions(-) diff --git a/ipynb/xkcd-Name-Dominoes.ipynb b/ipynb/xkcd-Name-Dominoes.ipynb index 15790aa..8f13dd7 100644 --- a/ipynb/xkcd-Name-Dominoes.ipynb +++ b/ipynb/xkcd-Name-Dominoes.ipynb @@ -9,10 +9,17 @@ "# `xkcd` Name Dominoes\n", "\n", "The March 21, 2018 `xkcd` comic (#1970) was [Name Dominoes](https://xkcd.com/1970/): domino tiles laid out as if in a game, but the tiles contain names of famous poeple rather than numbers. \n", - "In [dominoes](https://en.wikipedia.org/wiki/Dominoes) each tile has two halves, and a tile can be legally placed only if one half is adjacent to another tile with the same number/name, and neither half is adjacent to any tile with a different number/name. (The very first tile played in a game has no adjacent tiles, so it can be placed anywhere.) I will write a function to lay out tiles in a random, legal array. I'll start with two key data structures:\n", + "In [dominoes](https://en.wikipedia.org/wiki/Dominoes) each tile has two halves, and a tile can be legally placed only if one half is adjacent to another tile half with the same number/name, and neither half is adjacent to a tile half with a different number/name. (Exception: the very first tile can be placed anywhere.) \n", "\n", - "- **`Tile`**: a tile is a 2-element tuple, like `('TIM', 'COOK')`, indicating the two halves.\n", - "- **`Board(w, h)`**: a [w × h] 2-dimensional array of locations; each location holds as a value one half of a tile, or it can be `empty`, or it can be a `border`, meaning nothing can be placed there." + "I will write a function to lay out tiles in a random, legal array. First, the key data structures:\n", + "\n", + "- **`Tile`**: a tile is a 2-element tuple of names, like `('TIM', 'COOK')`.\n", + "The tile `('FRANK LLOYD', 'WRIGHT')` has a space in the first name.\n", + "- **`Name`**: a name (first name or last name) is a string.\n", + "- **`Board(width, height)`**: a mapping of locations to names.\n", + "Initially, all width × height squares on the board are `empty`, but when we put a tile on the board,\n", + "the first name covers one location and the last name covers an adjacent location, e.g. `board[0, 0], board[0, 1] = ('TIM', 'COOK')`.\n", + "- **`Location`**: a location is an `(x, y)` pair of coordinates for a square on the board." ] }, { @@ -21,21 +28,27 @@ "metadata": {}, "outputs": [], "source": [ - "empty = ' '\n", - "border = '--'\n", + "empty = None # An empty square\n", "\n", - "class Board(list):\n", - " \"A board is a 2d array of values.\"\n", - " \n", - " def __init__(self, width=16, height=24): \n", - " \"Initialize a [width × height] array of `empty`, surrounded by `border`\"\n", - " def rows (r, val): \n", - " return [[border] + width * [val] + [border] for _ in range(r)]\n", - " self[:] = rows(1, border) + rows(height, empty) + rows(1, border)\n", - " \n", - " def get(self, loc): return self[loc[1]][loc[0]]\n", - " \n", - " def put(self, loc, value): self[loc[1]][loc[0]] = value" + "class Board(dict):\n", + " \"A mapping from location to name.\"\n", + " def __init__(self, width=16, height=24): self.width, self.height = width, height\n", + " def __missing__(self, loc): return empty" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now I need a strategy to fill the board with tiles. I will randomly place tiles one at a time, and to make things easier I will *not* consider removing a tile from the board and backtracking. Some more concepts and functions:\n", + "\n", + "- **`frontier`**: I'll maintain a *frontier*, a set of locations that are adjacent to tiles on the board, and thus are candidates for placing new tiles.\n", + "- **`dominoes(tiles)`**: makes a board and places tiles on it, one at a time, until no more can be placed. Chooses a random tile for the first tile, then repeatedly calls `try_one` to legally place an additional tile, stopping when either there is no `frontier` left (meaning no place to legally place a tile) or no `tiles` left to place.\n", + "- **`try_one(tiles, board, frontier)`**: pop a location off the frontier, and try to find some tile that can legally put one of its halves there; when found, `put` the tile there, and remove it from `tiles`.\n", + "- **`legal(name, loc, board)`**: a name can be placed if the location is empty, and there are no conflicts with any neighboring location.\n", + "- **`neighbors(loc, board)`**: returns the (up to 4) neighbors of a location that are on the board.\n", + "- **`put_tile(board, loc0, loc1, tile, frontier)`**: places a tile on the board across `loc0` and `loc`; update the `frontier` to say that the just-covered locations are no longer in the frontier, but the empty neighbors of the tile are.\n", + "- **`shuffle(items)`**: used to randomize lists; calls `random.shuffle` and returns the result." ] }, { @@ -43,106 +56,91 @@ "execution_count": 2, "metadata": {}, "outputs": [], - "source": [ - "Board(2, 3)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now I need a strategy to fill the board with tiles. I will randomly place tiles one at a time, and to make things easier I will *not* consider removing a tile from the board and backtracking. Some more concepts:\n", - "\n", - "- **`frontier`**: I'll maintain a *frontier*, a set of locations that are adjacent to tiles on the board, and thus are candidates for placing new tiles.\n", - "- **`dominoes(tiles)`**: makes a board and places tiles on it, one at a time, until no more can be placed. Chooses a random tile for the first tile, then repeatedly calls `try_one` to legally place an additional tile, stopping when either there is no `frontier` left (meaning no place to put a tile) or no `tiles` left to place.\n", - "- **`try_one(tiles, board, frontier)`**: pop a location off the frontier, and try to find some tile that can legally put one of its halves there and the other half on an adjacent location; when found, `put` the tile there, and remove it from `tiles`.\n", - "- **`legal(value, loc, board)`**: a value can be placed if the location is empty, and the value matches all the neighboring location values.\n", - "- **`neighbors(loc)`**: returns the four neighbors of a location.\n", - "- **`put(board, loc0, loc1, tile, frontier)`**: places a tile on the board; it accomplishes this by making two calls to the board's `put` method, one for each half of the tile. The `put` function also updates the `frontier` to say that the just-covered locations are no longer in the frontier, but the empty neighbors of the tile are.\n", - "- **`shuffle(items)`**: used to randomize lists; calls `random.shuffle` and returns the result." - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], "source": [ "import random\n", "\n", "def dominoes(tiles, width=16, height=24):\n", - " \"Place as many tiles on board as possible, legally and randomly.\"\n", + " \"Place as many tiles on board as possible (legally and randomly).\"\n", " tiles = shuffle(list(tiles))\n", " board = Board(width, height)\n", " frontier = set()\n", " m = min(width, height) // 2\n", - " put(board, (m, m), (m, m + 1), tiles.pop(), frontier) # Place first tile\n", + " put_tile(board, (m, m), (m, m + 1), tiles.pop(), frontier) # Place first tile\n", " while tiles and frontier:\n", " try_one(tiles, board, frontier)\n", " return board\n", " \n", "def try_one(tiles, board, frontier):\n", - " \"Pop a frontier location, and try to place a random tile on that location.\"\n", + " \"Pop a frontier location, and try to place a tile on that location.\"\n", " loc0 = frontier.pop()\n", " for tile in shuffle(tiles):\n", - " for (v, w) in [tile, tile[::-1]]:\n", - " if legal(v, loc0, board):\n", - " for loc1 in shuffle(neighbors(loc0)):\n", - " if legal(w, loc1, board):\n", - " put(board, loc0, loc1, [v, w], frontier)\n", + " for (name0, name1) in [tile, tile[::-1]]:\n", + " if legal(name0, loc0, board):\n", + " for loc1 in shuffle(neighbors(loc0, board)):\n", + " if legal(name1, loc1, board):\n", + " put_tile(board, loc0, loc1, (name0, name1), frontier)\n", " tiles.remove(tile)\n", " return tile\n", " \n", - "def legal(value, loc, board):\n", - " \"Is it legal to place this value on this location on board?\"\n", - " return (board.get(loc) is empty and\n", - " all(board.get(nbr) in (empty, border, value)\n", - " for nbr in neighbors(loc)))\n", - " \n", - "def neighbors(loc):\n", - " \"Neighbors of this location.\"\n", - " x, y = loc\n", - " return [(x, y+1), (x, y-1), (x+1, y), (x-1, y)]\n", + "def legal(name, loc, board):\n", + " \"Is it legal to place this name on this location on board?\"\n", + " return (board[loc] is empty and\n", + " all(board[nbr] is empty or board[nbr] == name\n", + " for nbr in neighbors(loc, board)))\n", "\n", - "def put(board, loc0, loc1, tile, frontier): \n", + "def neighbors(loc, board):\n", + " \"Neighbors of this location on the board.\"\n", + " x, y = loc\n", + " nbrs = [(x, y+1), (x, y-1), (x+1, y), (x-1, y)]\n", + " return [(X, Y) for (X, Y) in nbrs\n", + " if 0 <= X < board.width and 0 <= Y < board.height]\n", + "\n", + "def put_tile(board, loc0, loc1, tile, frontier): \n", " \"Place the tile across the two locations, and update frontier.\"\n", - " board.put(loc0, tile[0])\n", - " board.put(loc1, tile[1])\n", + " board[loc0], board[loc1] = tile\n", " frontier -= {loc0, loc1}\n", - " frontier |= {loc for loc in neighbors(loc0) + neighbors(loc1)\n", - " if board.get(loc) is empty}\n", + " frontier |= {loc for loc in neighbors(loc0, board) + neighbors(loc1, board)\n", + " if board[loc] is empty}\n", " \n", "def shuffle(items): random.shuffle(items); return items" ] }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "[['--', '--', '--', '--', '--', '--', '--', '--'],\n", - " ['--', ' ', ' ', 'JA', 'BO', ' ', ' ', '--'],\n", - " ['--', ' ', 'RY', 'JA', ' ', ' ', ' ', '--'],\n", - " ['--', ' ', ' ', 'JA', ' ', ' ', ' ', '--'],\n", - " ['--', 'GR', 'KE', 'KE', 'KE', 'RY', ' ', '--'],\n", - " ['--', ' ', ' ', 'KE', ' ', ' ', ' ', '--'],\n", - " ['--', 'GR', 'JO', 'JO', ' ', ' ', ' ', '--'],\n", - " ['--', '--', '--', '--', '--', '--', '--', '--']]" + "{(0, 2): 'GR',\n", + " (0, 3): 'JO',\n", + " (1, 1): 'BO',\n", + " (1, 3): 'JO',\n", + " (1, 4): 'KE',\n", + " (2, 1): 'JA',\n", + " (2, 4): 'KE',\n", + " (2, 5): 'GR',\n", + " (3, 0): 'JA',\n", + " (3, 1): 'JA',\n", + " (3, 2): 'RY',\n", + " (3, 3): 'RY',\n", + " (3, 4): 'KE',\n", + " (4, 0): 'PO',\n", + " (4, 4): 'KE',\n", + " (5, 4): 'JA'}" ] }, - "execution_count": 4, + "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "tiles1 = [('BO', 'JA'), ('JA', 'PO'), ('JA', 'RY'), ('RY', 'KE'), \n", + "tiles8 = [('BO', 'JA'), ('JA', 'PO'), ('JA', 'RY'), ('RY', 'KE'), \n", " ('GR', 'KE'), ('GR', 'JO'), ('JA', 'KE'), ('KE', 'JO')]\n", "\n", - "dominoes(tiles1, 6, 6)" + "dominoes(tiles8, 6, 6)" ] }, { @@ -151,70 +149,68 @@ "source": [ "# Pretty Output\n", "\n", - "There are two problems with this output. One, it is ugly. Two, I can't easily tell where each tile is: when three names come together, which of the outside names goes with the middle name? To fix those two problems I will:\n", + "There are two problems with this output. One, it is not visual. Two, it doesn't say where each tile is: when three names come together, which of the outside names goes with the middle name? To fix those two problems I will:\n", "\n", "- Use `matplotlib` to plot a less-ugly display; encapsulate this in the function `plot_board(board)`.\n", - "- Modify the `Board` class and the `put` function so that the board maintains a list of `boxes` that surround each two-location rectangle that a tile occupies." + "- Modify the `Board` class and the `put` function so that the board maintains a list of `boxes` that surround each two-location rectangle that a tile occupies. A box is a 4-tuple, `(x0, y0, x1, y1)`, holding the `x, y` coordinates\n", + "of the upper-left and lower-right corners of a box. The function `plot_box(box)` plots the rectangle. Note that in the new last line of `put_tile`, I add just `0.94`, not `1.0` to the size of the box; this way two adjacent tiles won't quite touch (as in the xkcd comic)." ] }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "\n", + "ϵ = 0.06 # A small amount; the space between adjacent lines\n", + "\n", "def plot_board(board, figsize=(16, 24)):\n", + " \"Plot the box and name for every tile, plus a big box around the board.\"\n", " plt.figure(figsize=figsize)\n", " plt.axis('off') \n", " plt.axis('equal')\n", - " plt.tight_layout()\n", - " for (x0, y0, x1, y1) in board.boxes:\n", - " plt.plot([x0, x1, x1, x0, x0], \n", - " [y0, y0, y1, y1, y0], 'k-')\n", - " for (y, row) in enumerate(board):\n", - " for (x, val) in enumerate(row):\n", - " if val is not border:\n", - " plt.text(x + 0.5, y + 0.3, val, ha='center', fontsize=8)\n", + " for box in board.boxes:\n", + " plot_box(box)\n", + " for (x, y) in board:\n", + " plt.text(x + 0.5, y + 0.3, board[x, y], ha='center', fontsize=8)\n", + " plot_box((-2*ϵ, -2*ϵ, figsize[0] + ϵ, figsize[1] + ϵ))\n", + "\n", + "def plot_box(box):\n", + " \"Plot a box.\"\n", + " x0, y0, x1, y1 = box\n", + " plt.plot([x0, x1, x1, x0, x0], \n", + " [y0, y0, y1, y1, y0], 'k-')\n", " \n", - "class Board(list):\n", - " \"A board is a 2d array of values.\"\n", + "class Board(dict):\n", + " \"A mapping from location to name.\"\n", + " def __init__(self, width=16, height=24): \n", + " self.width, self.height, self.boxes = width, height, []\n", + " def __missing__(self, loc): return empty\n", " \n", - " def __init__(self, width=20, height=36): \n", - " \"Initialize a [width × height] array of `empty`, surrounded by `border`\"\n", - " def rows (r, val): \n", - " return [[border] + width * [val] + [border] for _ in range(r)]\n", - " self[:] = rows(1, border) + rows(height, empty) + rows(1, border)\n", - " self.boxes = []\n", - " \n", - " def get(self, loc): return self[loc[1]][loc[0]]\n", - " \n", - " def put(self, loc, value): self[loc[1]][loc[0]] = value\n", - " \n", - " \n", - "def put(board, loc0, loc1, tile, frontier): \n", - " \"Place the tile across the two locations, and update frontier.\"\n", - " board.put(loc0, tile[0])\n", - " board.put(loc1, tile[1])\n", + "def put_tile(board, loc0, loc1, tile, frontier): \n", + " \"Place the tile across the two locations, and update frontier and boxes.\"\n", + " board[loc0], board[loc1] = tile\n", " frontier -= {loc0, loc1}\n", - " frontier |= {loc for loc in neighbors(loc0) + neighbors(loc1)\n", - " if board.get(loc) is empty}\n", + " frontier |= {loc for loc in neighbors(loc0, board) + neighbors(loc1, board)\n", + " if board[loc] is empty}\n", " (x0, y0), (x1, y1) = loc0, loc1\n", - " board.boxes.append((min(x0, x1), min(y0, y1), max(x0, x1) + 0.94, max(y0, y1) + 0.94))" + " board.boxes.append((min(x0, x1), min(y0, y1), \n", + " max(x0, x1) + 1 - ϵ, max(y0, y1) + 1 - ϵ)) " ] }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 5, "metadata": {}, "outputs": [ { "data": { - "image/png": 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+ "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -222,7 +218,7 @@ } ], "source": [ - "plot_board(dominoes(tiles1, 6, 6), (6, 6))" + "plot_board(dominoes(tiles8, 6, 6), (6, 6))" ] }, { @@ -237,7 +233,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 6, "metadata": {}, "outputs": [], "source": [ @@ -256,8 +252,8 @@ " James Watt, James Watt, Kevin Costner, Kevin Bacon, Kevin Love, Lisa Frank, Frank Drake, Drake, \n", " Oscar de la Renta, Oscar de la Hoya, Sean Hayes, Wallace Shawn, Wayne Howard, Wayne Brady, \n", " James Brady, Tom Brady, Helen Thomas, Tom Hanks, Hank Aaron, Aaron Carter, Stephen James, \n", - " Will Smith, Kevin Smith, Kein James, Garfield, James Garfield, Warren Buffett, Jimmy Buffett, \n", - " Warren Beatty, Elizabeth Warren, Earl Warren, Eliabeth Kolbert, Stephen Colbert, George Wallace,\n", + " Will Smith, Kevin Smith, Kevin James, Garfield, James Garfield, Warren Buffett, Jimmy Buffett, \n", + " Warren Beatty, Elizabeth Warren, Earl Warren, Elizabeth Kolbert, Stephen Colbert, George Wallace,\n", " Charles Wallace, James Monroe, Marilyn Monroe, Hank Williams, William C. Williams, Steve Harvey,\n", " Domino Harvey, Harvey Milk, James Saint James, Etta James, Jim Jones, James Earl Jones, \n", " Charlie Parker, Ray Parker, Ray Charles, Charles Manson, Marilyn Manson, Robin Williams, \n", @@ -266,7 +262,7 @@ " Robin Wright, Wilbur Wright, Fatty Arbuckle, Fat Joe, George Clinton, John Kerry, \n", " Kerry Washington, John Irving, John Quincy Adams, John Adams, Amy Adams, Aimee Mann, Super Man, \n", " Bat Man, Ayn Rand, Lily Allen, Paul Allen, Ron Howard, Howard Hughes, Joe Kennedy, George Bush, \n", - " George Wasington, Wasington Irving, Martha Wasington, Ma Rainey, Jack Ma, Super Grover, \n", + " George Washington, Washington Irving, Martha Washington, Ma Rainey, Jack Ma, Super Grover, \n", " Jack Black, Rand Paul, Paul Ryan, Paul Simon, Ron Paul, John Hughes, Langston Hughes, \n", " John F. Kennedy, Little Richard, Rich Little, Martha Stewart, Yo Yo Ma, Ma Bell, \n", " Grover Cleveland Alexander, Grover Cleveland, Jack White, Jack Ryan, Debby Ryan, Carly Simon, \n", @@ -275,16 +271,16 @@ " Lloyd Alexander, Meg White, Meg Ryan, Debbie Reynolds, John Reynolds, Carly Fiorina, \n", " Grace Lee Boggs, Wade Boggs, William Safire, Prince William, Little Prince, Harry Potter, \n", " James Potter, James Hook, James Dean, Aretha Franklin, Frank Lloyd Wright, Barry White, \n", - " Walter White, Walt Whitman, John Kelly, Grace Lee, Nancy Grace, Garnet, Prince, Prince Felder, \n", - " Prince Harry, Harry Styles, John Dean, Benjamin Franklin, Harrold Lloyd, Harrold Ford, \n", + " Walter White, Walt Whitman, John Kelly, Grace Lee, Nancy Grace, Garnet, Prince, Prince Fielder, \n", + " Prince Harry, Harry Styles, John Dean, Benjamin Franklin, Harold Lloyd, Harold Ford, \n", " Betty White, Meg Whitman, Christine Todd Whitman, Megyn Kelly, Grace Kelly, Grace Jones, \n", - " Jack Nicholson, Jack Ruby, Jack Russel, Harry Fielder, Harry Truman, Harry Jon Benjamin, \n", + " Jack Nicholson, Jack Ruby, Jack Russell, Harry Fielder, Harry Truman, Harry Jon Benjamin, \n", " John Edward, Benjamin Harrison, Harrison Ford, Henry Ford, Betty Ford, Betty Friedan, \n", - " Chris Christie, Chris Pratt, Maggie Grace, Grace Hopper, Russel Crowe, Russ Smith, John Smith, \n", + " Chris Christie, Chris Pratt, Maggie Grace, Grace Hopper, Russell Crowe, Russ Smith, John Smith, \n", " Justin Long, John Bel Edwards, John Candy, John Henry, Henry James, Bill James, Chris Cooper, \n", " Chris Hemsworth, Chris Evans, Topher Grace, Van Morrison, Sheryl Crow, Sheryl Sandberg, \n", - " Cameron Crow, Long John Silver, Olivia Newton John, Huey Long, John Edwards, Candy Crowley, \n", - " Aleister Crowley, James Fenimore Cooper, James Cook, Robert Frost, Bob Evans, Evan Tayler Jones,\n", + " Cameron Crowe, Long John Silver, Olivia Newton John, Huey Long, John Edwards, Candy Crowley, \n", + " Aleister Crowley, James Fenimore Cooper, James Cook, Robert Frost, Bob Evans, Evan Taylor Jones,\n", " James Cameron, Cam Newton, Cameron Diaz, Huey Newton, Huey Lewis, John Lewis, Jenny Lewis, \n", " Ryan Lewis, Burt Reynolds, Alistair Cooke, Alistair Cookie, Cokie Roberts, John Roberts, \n", " Robert Johnson, Robert E. Lee, Tommy Lee, Tommy Lee Jones, Etta James, John Oliver, \n", @@ -293,7 +289,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 7, "metadata": {}, "outputs": [ { @@ -302,7 +298,7 @@ "270" ] }, - "execution_count": 8, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" } @@ -313,24 +309,24 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "[('RAY', 'ALLEN'),\n", - " ('HARVEY', 'MILK'),\n", - " ('LONG JOHN', 'SILVER'),\n", - " ('MARILYN', 'MONROE'),\n", - " ('', 'PRINCE'),\n", - " ('JON', 'BROWN'),\n", - " ('WAYNE', 'NEWTON'),\n", - " ('JOHN', 'CANDY'),\n", - " ('HENRY', 'JAMES')]" + "[('VAN', 'MORRISON'),\n", + " ('HARRY JON', 'BENJAMIN'),\n", + " ('AIMEE', 'MANN'),\n", + " ('JOE', 'MCCARTHY'),\n", + " ('JOHN', 'ADAMS'),\n", + " ('CHRIS', 'HEMSWORTH'),\n", + " ('EUGENE', 'MCCARTHY'),\n", + " ('OSCAR THE', 'GROUCH'),\n", + " ('SUPER', 'GROVER')]" ] }, - "execution_count": 9, + "execution_count": 8, "metadata": {}, "output_type": "execute_result" } @@ -355,7 +351,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 9, "metadata": {}, "outputs": [], "source": [ @@ -381,7 +377,7 @@ " COLUMBO=COLUMBUS, SAFIRE=SAPPHIRE=GARNET, GARNET=RUBY, CHARLIE=CHARLES, SEAN=SHAWN,\n", " JIMMY=JAMES, MAN=MANN, JACK=JOHN, TOM=TOMMY, WILL=WILLIAM=WILLIAMS, ROBERT=ROBERTS=BOB, \n", " CAM=CAMERON, OLIVER=OLIVIA, EDWARD=EDWARDS, RICH=RICHARD, CHRIS=CHRISTOPHER=TOPHER, \n", - " FAT=FATS=FATTY, WALT=WALTER, HANK=HANKS\"\"\", xkcdtiles)" + " FAT=FATS=FATTY, WALT=WALTER, HANK=HANKS, CROW=CROWE\"\"\", xkcdtiles)" ] }, { @@ -390,25 +386,25 @@ "collapsed": true }, "source": [ - "To make this work, I update `legal` to call the new function `match_neighbor` for each neighbor; this checks for empties, borders, and exact matches just like before, but it also consults the `synsets` global variable for an approximate or partial match, and it disallows a match between two empty values, so you can't match the empty first name of \"PRINCE\" with the empty first name of \"DRAKE\"." + "To make this work, I update `legal` to call the new function `match_neighbor` for each neighbor; this checks for empties and exact matches just like before, but it also consults the `synsets` global variable for an approximate or partial match, and it disallows a match between the empty first name of \"PRINCE\" with the empty first name of \"DRAKE\"." ] }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 10, "metadata": {}, "outputs": [], "source": [ - "def legal(value, loc, board):\n", + "def legal(name, loc, board):\n", " \"Is it legal to place this value on this location on board?\"\n", - " return (board.get(loc) is empty and\n", - " all(match_neighbor(value, board.get(nbr)) for nbr in neighbors(loc)))\n", + " return (board[loc] is empty and\n", + " all(match_neighbor(name, board[nbr]) for nbr in neighbors(loc, board)))\n", "\n", - "def match_neighbor(value, nbrval):\n", - " \"Does this value match the neighbor's value?\"\n", - " return (nbrval in (empty, border) or \n", - " nbrval == value != '' or\n", - " nbrval in synsets[value])" + "def match_neighbor(name, nbrval):\n", + " \"Does this name match the neighbor's value?\"\n", + " return (nbrval is empty or \n", + " nbrval == name != '' or\n", + " nbrval in synsets[name])" ] }, { @@ -422,7 +418,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 11, "metadata": {}, "outputs": [], "source": [ @@ -437,19 +433,19 @@ "source": [ "# Final Results\n", "\n", - "Let's see what we can generate, and compare it to the original comic. *Note:* By default, I'm using a 16×24 square board; the xkcd comic uses 27×35, but if I try to fit that many then each tile will be smaller, and the names overflow the sides of the dominoes too much. (As it is, only a few names, like \"OLIVIA NEWTON JOHN\" overflow.)" + "Let's see what we can generate, and compare it to the original comic. *Note:* By default, I'm using a 16×24 square board; the xkcd comic uses 27×35, but if I try to fit that many then each tile will be smaller, and the names overflow the sides of the dominoes too much. (As it is, only a few names overflow.)" ] }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 12, "metadata": {}, "outputs": [ { "data": { - "image/png": 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wASEMAAAAwASEMAAAAAATEMIAAAAATEAIAwAAADABIQwAAADABIQwAAAAABMQwgAAAABMQAgDAAAAMAEhDAAAAMAEhDAAAAAAExDCAAAAAExACAMAAAAwASEMAAAAwASEMAAAAAATEMIAAAAATEAIAwAAADABIcxEquqNVXWfPvzaqvr1PnxsVb2yqvatqqur6vDRe365qs6vqnOr6iW9bHNV3aSqXlpV542mPa//vklV/UZVbaqqc6rqL6vq4P6+D1XVF/q4l/dpX9XHvb+qHtbncXRfltv016dV1b0m+7BgL1NVt+ntaHNVXdnb2F9U1cW97M9H047b7dGjtn19VZ3Yh/epqv+uqqeOpj2rql44en1aVb1pqfmuhV6Xl41en1ZV91qmb/tkVZ3d+7dH9bKTR+XvqKqbVdXPVtVz+vj9+vT7Tl87WCw72Gf5clU9o6oOGvdBffzmqrJvCbBK+v7Wp/v+0hlVdUAvP6mqPjE33TbHc6P9rbP6z0PWqi6LzBfldC5Iclgfvk2Se/Thw/q445O8NcnjkqSqbp3kUa21I1trRyX5wz59G83zgKo6dK78p5Nc01rb0Fo7Jsmrkvx7a+3YJE9OcmYf9+IkP5Pk8j7uEUleXFUH9vl8ps8L2IHW2tWttWN7W7q0tbYhyX8keV4vq6r6vtnky8zm40ke2YePTfKvsxG9XX4lyVFz7/n+qrrzDuY7pbbE8FZ9W3d5a+24JBuSPG9Ufmov/0iShyZ5XZITq2r/JM9P8kettWtWa+GBG2xvn+V3R9PN9zt7Qj8EsN5t7PtLG5P8eC87IcmHq+reo+mWO547tbX20CRPSPKS0b4kExHCTOfCJIdX1c2SXJstn/0shPnRJL+W5H69/NtJ7lRVBydJa+2qJeb5miTPnSt7fJLfm71orV3aWvufZZbpxCR/0Kf7epI3ZstB4D8kebQzWnCjzNrPbUdltcy0Vye5Re8jHpvknaNxj0nyN0k+V1V3GZX/aZJf3MF8p1Rzw5Vt+7bxdLdOss8S5fsnSWvt+iS/k6GfOqa19lersMzAtra3z3L5mi0VAMnc/lJV3SJDP/26DMd3M9s9nmutXZnkDRlOfDEhB9jTuTjJIUkOTnJJks9U1UFJDkry2ST7t9YuT3JpVd23hyLPTfLKfsnYY5aY578mudXcQdl+rbVrk6TfivSx8W0Ac/adO6v8uSSzJPTbSd6VoSE7swW751VV9S9JvtVam10iur32tCnJQzK0w/8alR+f5L1J3p4tV5S0JGcnOaKq9lvRpd59J/VbsTZnWOZkrm/rZXeoqnOSfDJDyDJzSlVdkuFA74wkaa2dkaGffMUUFQCSLL/Pcs/YJwBYaydV1YVJnpXkTUkenuT01tr5ScbHfTtzPPf5bDn+YyJCmIm01r7VB4/McIbpogyXjX0xyTFJ7l1Vpyd5cPpBVmvtrNba8UmOSPKSpWab5I+z5Ux4knyjqm7e339yhrPpyx2gXTP3fIW7Z2iIs3m/Pskzd76WwJznZziQuf2sXc7ZL8k3+nDLcMbit5J8KP0sR1XdKskPJ3lbkhdkuHUwfXxL8pYkJ2XPODDa2G93PDbJ+7JM35bhdqRjMlwGe+zo/adm+LyuSnLgqPxTST69qksO3GA7+yxfWLOFAmBmY2ttdjfFQRmumD6pqt6b5OCqulufbmeO5+6WLcd/TEQIM61LkjwtyceSfDRDenlhhnTy0a21E1prD05yZH+Y5V37+/4nw+XAydwtB621TRl2km7Ri96Z5IWjSW42twzj978z/XkM/UDv5Axn22fzvjrJvyR54K5WFBbYfBv9RoYA5em96Lqqmt2e9KAk/2f2vn7FyFlJ/nY0ixOS/GbvHx6W5Cv9GSkzb0nylBWuw0qobNu3HTEaN+u/Dh3Xp7XWkrw2Q4A1nhcwreX2WeZvO8zca+0VYBqvSPLiJAe21h7SWntEhr76hufwLXM8NzvRt3+Sp2bY92RCQphpXZDkpq21b7bWPpvkDhl2aA5trX1qNN1VSe6YZGNVnZtkc5Lf7+Pa3O8keXOSO/XhP0+yXw3/7eiMDA/T+/ho2vH7/jzDc2fOyRC+/HZr7b/nlvnVSe4dYGct1UbfmuFqlST51STvqqpNSe7QWnvvePrW2v9urf3H6P2PTXLOaF4fzHDGYzb9NUnW9D8jLaOSHD7Xt11dVffI1p/NWzIc6I3LzkqyoT+PItkzrvKBRbPUPssF2bo9bqiqM/vPk/q49/X/uPH6NVhmgIXRWrssyROz9ZUsH0zyqGzdV88fz72gqmYn/X6rtfbF1V5WtlbDSUdWSlW11tq6Pgu0CHVkcdm+1x/rlPVsEbbvRagjsH4tQh+2CHVcSa6EAQAAAJiAEAYAAABgAkIYAAAAgAkIYQAAAAAmIIQBAAAAmIAQBgAAAGACQhgAAACACQhhAAAAACYghAEAAACYgBAGAAAAYAJCGAAAAIAJCGEAAAAAJiCEAQAAAJiAEAYAAABgAkIYAAAAgAkIYQAAAAAmsM9aL8B6VFVtrZdhlV2x1gsAq2kB2vCi0WcBAGtmAfYt7WvtAiHMCmut1VovA7D7tGEAAFaKfUvmuR0JAAAAYAJCGAAAAIAJuB1phVXVV5IcsNbLwYq6orV24FovxFpZkG16YdfxIq7fBanzolnYNsz6tyB9ljbMuqUNM69aW+/PCJpWVTX3/a0vi75OF6H+i1DH5SxC3efruAh1XjSLvE4Xoe6LUMftWYT6L0IdWVyLsH0vQh1XktuRAAAAACYghAEAAACYgBAGAAAAYAJCGAAAAIAJCGEAAAAAJiCEAQAAAJiAEAYAAABgAkIYAAAAgAkIYQAAAAAmIIQBAAAAmIAQBgAAAGACQhgAAACACQhhAAAAACYghAEAAACYgBAGAAAAYAJCGAAAAIAJCGEAAAAAJiCEAQAAAJiAEAYAAABgAkIYAAAAgAkIYQAAAAAmIIQBAAAAmIAQBgAAAGACQhgAAACACQhhAAAAACYghAEAAACYgBAGAAAAYAJCGAAAAIAJCGEAAAAAJiCEAQAAAJiAEGYiVfXGqrpPH35tVf16Hz62ql5ZVftW1dVVdfjoPb9cVedX1blV9ZJetrmqblJVL62q80bTntd/36SqfqOqNlXVOVX1l1V1cH/fh6rqC33cy/u0r+rj3l9VD+vzOLovy23669Oq6l4r/HkcXVXfqqrb99eHVdX1VXWPZT6LT1bV2f3zeFRVfe8Sdfrt+WWd+4xOqqpPrGQ9WF5fxy/rwz9WVW+rqsv7ejxntp5m66yqvrOq/rGv1w/0bWFz/7myr+M39G3/4l6+qaruvlx7YDrj9d1fz9brDttzLzt5VP6OqrpZVf1sVT2nj9+vT7/v9LXb1iLVt6puXVXv7u3t/Kp6z1y73FRV51XVfn36Z1fVLyzRHx9dVZ8evedRo3lv7vM+dO1qunhq+/smX+7b6Ka+je7Txy21v/H+GvY39uvb9jNGf2NzVT24//7YaBt49hpUeWHtRDt+z6hfmrXRByzRV822g0/N1vN8fwisntF36dlVdUZVHdDLtzrOqWWO50Zt+qz+85C1qssiE8JM54Ikh/Xh2yS5Rx8+rI87PslbkzwuGb4skzyqtXZka+2oJH/Yp2+jeR4w2mGdlf90kmtaaxtaa8ckeVWSf2+tHZvkyUnO7ONenORnklzexz0iyYur6sA+n8/0ea2mjyX50T782CQX9uGtPovu8tbacUk2JHlea+2yJer0oiX+xvjzOiHJh6vq3itZCbarVdWRSZ6V5MVJ3tfX44uT/Nxsmv77OUle3tfrhiRfaK0d219f2tfxT/Vpn9/HbWitfbaXLdUemFZbYniH7XlUfmov/0iShyZ5XZITq2r/JM9P8kettWtWa+F3w6LU96lJ3t5a25DkQUmeONcuNyT5oySn9J29xyf5k2XmtXH2ntbau0fzPrbP+19WvTaMbW/f5HczbKMbMmyjD+vjltrfODrD/sbNlvgbLckH+zp+brZsA69Z8dqwPTtqx4/s0506aqMXjcpmfdVsO/hSkqeM5u97F6azsbfJjUl+vJctdZyz3PHcqa21hyZ5QpKXVNWdV3Vp2YYQZjoXJjm8qm6W5Nps+exnIcyPJvm1JPfr5d9OcqeqOjhJWmtXLTHP12TYoRl7fJLfm71orV3aWvufZZbpxCR/0Kf7epI3Jpl9Cf9DkkdX1WpuI5uTHNeHvz/JPyepbPtZpJcnya2T7LOD+dY2BVW3yPCZvy5DvZnGfZK8MsN2+c1sWTcHjKaZlX09ybFVdevW2rWttWuXmGa518nW7WGp8ay+mhve1fY8K98/SVpr1yf5nQz91DGttb9ahWW+MRalvl9PckRV3a61dn1r7WvzE7TW/jrJURmW/RW9LkuZb5s7nDeranv7Jpdnbhuds9T+xlf7y/m2sdQw01qure3M9+tS28E1ST7oLDqsia3a5HaOc7Z7PNdauzLJGzKcCGJCQpjpXJzkkCQHJ7kkyWeq6qAkByX5bJL9W2uXJ7m0qu7bQ5HnJnllv2TsMUvM81+T3Kqq7jIq22928NovDf5YjS6Ln7Pv3FnWzyWZJaHfTvKuDA15tc5uXJvkm1X1wCT/t5ftk7nPopffoarOSfLJDAcp2/Pmfhnt5lHZw5Oc3lo7P8lynwcr72FJzuidfJI8tKrOz3CW/NVz056a5JZJLqyqv+5fKDPz2+DsNrpNs0ujs3V7cEZubZw0anvH97Jdac+nVNUlGQ4Az0iS1toZGfrJV0xRgV20KPV9U5L/TLK5qs6sqjsuM91vJfnu1tp7tzOv2We2qaoekOEs3s7Mm9Wx3L7JPTP0o9tsoyPz+xsfHe1vnDJqG/efoB7s2HLteP778pRRG737qGx+O2hJXpvk55eYB7C6TqqqCzNcaf6mLH+cszPHc5/PluM/JiKEmUhr7Vt98MgMZ54uynDZ2BeTHJPk3lV1epIHp1/G3lo7q7V2fJIjkrxkqdkm+eMkvzgq+0ZV3by//+Qk70yy3zKLdU1t/byBu2doiLN5vz7JM3e+lrusJTk9yZ8meXuGVPeYLPFZZLic/5gMl80du4P5PqVfRjue7jEZOqz3Jjm4qu62YrVge/4kyY9U1ewA9czW2pFJTkvyA+MJW2tfa629oLV2nwyXPJ+0nfmOb0e6bjaLbNsemNbGUdt7X3a9PZ+a4YDwqiQHjso/leTTq7rku2ch6ttau6619rLW2sEZzpj9Uh81f8b809nxco9vR7qotfbtuXk/bwfvZwVtZ9/kC718uW002XZ/4++yZX/j1FHbuHj1asDO2oV2PL4daXa775LbQWvti0muznDVKzCdja212d0UB2X545ydOZ67W7Yc/zERIcy0LknytAzPQvlohvTywgzp5KNbaye01h6c5MgaHu541/6+/8lw1Ugy92XZWtuUYedpdtXAO5O8cDTJ/P3Z4/e/M32Ht6puleTkJDecwWytXZ3h/vwH7mpFd8HpSS4a3Xc8/1kcMV7uXt9Dq+q2o3ls9/LmfqXE7VprD2mtPSLD5/647b2HFfOtJE9K8rIMO+ezdfWqbL2dprZ++POXs3X/tDOXSy/VHlg7lZ1vzzdc4t5am51dff7cvPZ067a+NTwke3bF2Zey/X2HHbXVrV4vMe89qu4LYrl9k9l2O7+NztbRjvY3ZqzTPcAutOPlvl+X2w6WujUemMYrMjxn8cDljnOWOZ6rJOn7I09NctZkS0wSIczULkhy09baN/vZhTtk2NE5tLX2qdF0VyW5Y5KNVXVuhmen/H4f1+Z+J8mbk9ypD/95kv1q+E8FZ2R4yN7HR9OO3/fnGZ47c06G8OW3W2v/PbfMr06yag+yba19vbU2S2cr234WV1fVPbL1cr8lydPHs1lmeObYDDuXMx9M8qjdX2p2Rb8V6alJPpAtz764KsNl7z+YLevsIVX1T1V1doZE/03j2czN9vdGtyN9f5ZvD6ydSnL4Trbnp82VnZVkQ39ORbJ0u97TrOf6HpLkA1W1KcmvZMvIo+G5AAAgAElEQVSthEst53zZG/t/X3h3Hze+Hekp25k301lq3+SCLL2N3nxUvqP9jZk9bXteVDvbjl8waqPHZQfbQWvtI0nm9x2BCbTWLkvyxGx9JcvsOGfcdueP515QVWcl+dskv9WvamNCNQTbrJSqaq01Z33WkUVfp4tQ/0Wo43IWoe7zdVyEOi+aRV6ni1D3Rajj9ixC/RehjiyuRdi+F6GOK8mVMAAAAAATEMIAAAAATEAIAwAAADABIQwAAADABIQwAAAAABMQwgAAAABMQAgDAAAAMAEhDAAAAMAEhDAAAAAAExDCAAAAAExACAMAAAAwASEMAAAAwASEMAAAAAATEMIAAAAATEAIAwAAADABIQwAAADABIQwAAAAABPYZ60XYD2qqrbWy8CKumKtFwBYWfrpdWeh++kF2J4Xev0CsL4IYVZYa63WehkAWJ5+mvXE9gwAexe3IwEAAABMwJUw3ChV9ZUkB6z1crCirmitHbjWCwGwOxbke0k/zbq1IG140eizYEQIw411gEuh15cFeLYAsL6t++8l/TTr3Lpvw4tGnwVbczsSAAAAwASEMAAAAAATEMIAAAAATEAIAwAAADABIQwAAADABIQwAAAAABMQwgAAAABMQAgDAAAAMAEhDAAAAMAEhDAAAAAAExDCAAAAAExACAMAAAAwASEMAAAAwASEMAAAAAATEMIAAAAATEAIAwAAADABIQwAAADABIQwAAAAABMQwgAAAABMQAgDAAAAMAEhDAAAAMAEhDAAAAAAExDCAAAAAExACAMAAAAwASEMAAAAwASEMAAAAAATEMIAAAAATEAIAwAAADABIQwAAADABIQwAAAAABMQwgAAAABMQAjDmqiqo6vqW1V1+/76sKq6vqruUVX7VtXVVXX4aPpPVtXZVXV+VT2qqr63qjZX1Yeq6gtVtamqfruqTquqe43ed95o+KSq+sTE9bx1Vb27L9/5VfWevtxX9rL3VNXJvX6b+s9h/fct+zzeU1VP68NPr6pf6MPf2T/DO4/+3pX9c/pAVR1eVUf1v/exqvp0n++z1ZeV0tvy7LN+Z1XdvKp+pare339O6tOdPrctnN5/j9vwy3sb/qc+7aaq2mdUdm5VvXSt68xi6Nv21VV1m/76tKq61zLfUbevqrf17fY9VXXPXv7Sqrp0NN0pVfVv4/lNWysWQd92XzZ6Pdt2n9r70XOq6oV93NOq6ll9+AlVdU4fvnlVnT+ax1mz94zmuVW/XFUH9f78rN4WnqO+a2f0/Xx2VZ1RVQdU1S2q6i/68p5dVYf2aU+uqk9VVfXXm6vKceIeapl9r6X2k8+be89L5stZGxoXa+ljSX60Dz82yYV9+Pgkb03yuNG0l7fWjkuyIcnzWmuXtdaOTfLkJGe21ja01l60xN9oo+ETkny4qu69kpXYgacmeXtrbUOSByV5Yl/uS/syP7JPd2p/vaG1dmGSi5L8UB93bZJD+/BhSS7ow49L8hfZ8hmmz/e4JE9Kckpr7dz+956bZGOf/2tWqa7J4tWXwca+zs9P8sQk92ytHZ2hvT6+qu7TWjthbls4ob9n3IZf3Of34621Y3vZdaOyo5IcWVW3mrh+LK7PJPnpubKlvqNeneRVo/7ndaNx36yq7+rDRyT5z1VaVhhrc8PfkeTHkhzdWjsmyf+qqodl2Pd6QJ/usCRf68OHZNhPS1UdmOQrSY6a+xtL9ctnttYemqH//4GqesyK1mp5i1bfnbWx7yf9ZZKfSPLSJGeM9qFfXVX79Gm/li39WttmTuxpxvteT8jS+8nLrUfrd40JYVhLm5Mc14e/P8k/J6kMncevJbnfaNrqv2+dZJ9sX21TUHWLDNv765KcuPuLvMu+nuSIqrpda+361trsy35+GedfX5jk8Ko6KMn/SXLbXn7/JBf34WOSvCDJw5aYzwHZuoPd5jNZJYtWX7Z2SZKNSV6ZJK21byf5www7B7tiqe+mqqqbJrnlMuNhNfxDkkePzghv8x3Vx92ltfahJGmt/WuS/6qqu/f3vDPJif3s5BeSXD/h8rO4am74sUle3VqbfVe+MkNo/okk39fL7prknKr6vmx9EuQxSf4myeeq6i7j+S7XL/e/89v9705h0eq7s8b7SUlyZGvtr5OktfalJGdnCIeT5LQkz5x7H3u+S5LcPUvvJy/H+l1jdmRZS9dmOEP4wCT/t5ftk2T/1trlSS6tqvv28jv0S0Y/meR3djDfN/fL8zaPyh6e5PTW2vlJDl/mfavhTRnOem6uqjOr6o69fD6BPqW23J5z9ww7AodnOFtzYZJrq+o7klzfWpvdxvXfrbWvJvlq9cvlk9yvqt6f5JwkL1/dqi1p0erLYPZlfnSGdv350bjPJrnzNu/Yvjf3S6HfNir7qyT/nuTcvh3AFL6d5F0ZwvtZPzb/HXWHJJfPve9zSe7S33NhkgdmODj7+ykWGpKcNNoXeniGq1P/azT+sxnCw5bka/179dtJPpIhkBiHEscneW+St2frK8B21C//V5I7rVyVtmvR6ruzTqqqC5M8K8NJknmfy/Ad3ZJcmeSyqnpAXCmxN5jtex2V5FNZej+ZPZQQhrXUkpye5E8zfNFVhhT33lV1epIHZ8uX3+X9ctInJDl2B/N9Sr+NYTzdYzJ8Eb03ycFVdbcVq8V2tNaua629rLV2cJI3JPmlPmo+gR7fnvPZ1tp/JLlntoQSH09yUoa0OxnOxB7S6/MDSR7Vyy/tt4G8MMmRq1Wv5SxafbnBSVV1dpLbJHlLhrOLM3fP1qHMzviJfjvS40dlP55h+zjkRi0p7JqW5PXZcnb4mGz7HfWlbHvgNdvuK8OVL5/PcNvk2au/yJBkyy25xyZ5X5Lzkoz3fcZ980cz3KryyQyhxA8l+d7W2v/tt938cJK3ZTjL/ojRPHbUL98tu97/765Fq+/O2thamwVMBy0xftxXtQy3Vj53usXjRpjte902yf5Zej95bL8k3+jDQrY1JoRhrZ2e5KLW2kX99YlJHt2fF/HgbLlEspKktbYpyaFVddvRPLZ7SV2/1/V2rbWHtNYekeFswOO2956VUsODhme3T30py7e5pepweZJDWmufz7DD8KxsOUvzyCQ/0utzdIaQaTyfNyZ56uwBa1NZtPpyg42tteNaa8/OEKiektzQ9n4pyTtG0y61jubLlrwdqV86fXFVHb8Cyww7pbV2dZJ/yXA1y/x31JGtteuTfL6qjkySqvqeJHdtrX12NJu/TPLu/owj/RRr4R1Jnttvp0mGkxezqw0vyPCde2Fr7aoMJ0VmtxOfkOQ3+zb/sCRfqar9+7il+uXZg11vmuR/J/m7VazT9ixafXfkFUlelORDVfXkJOlXK29I8k+ziVpr/5bkVtk6wGLPNN73eniW3k++bnTM9KAMt/wnvofWnBCGNdVa+3prbXz/6aGttU+NJrm6qu6RrRPbtyR5+ng2ywzPHJv+sLXug1k6IV4NhyT5QFVtSvIrGc4wJNsu5wtGt+fMnpNzYZJr+vDHktw3w4OFb53kO1pr1yZJf+7K7apqv9l8+0HBGdn64VxTWLT6Mqe1dnqS/6iqc5NsyvCg5vF/JVuqjc6XzW5H2tRvRRuPf0OSn1vRhYYde3WGPumwue+oq6rqO5M8J0O/dk6fdva9NuujLmqtvWpcFmcimU7LcAb8bRmegfL+JJ9urb2vj78gw9nz2Qmxr4+GH5vhlt+ZD2Y4wFuuX35oVf1jkrOS/HNr7d0rW5Wdsmj13aHW2mVJbp/kD5I8vPdV/1+S54wegD/z2iTfPe0Ssru2s5+8b5JfTfKuvl9+h9bae/vbvr8/NuDM8l9E10RteV4V7Lqqaq01aeo6Mr9OF2EdL0Idl7MIdV+EOrLFIqzvRagjWyzC+h7XcRHqu2gWfZ0uQv0XoY4ryZUwAAAAABMQwgAAAABMQAgDAAAAMAEhDAAAAMAEhDAAAAAAExDCAAAAAExACAMAAAAwASEMAAAAwASEMAAAAAATEMIAAAAATEAIAwAAADABIQwAAADABIQwAAAAABMQwgAAAABMQAgDAAAAMAEhDAAAAMAE9lnrBWDvV1VtrZeBFXXFfMECrONt6rxIrF+APdui9dMLUN9Fs/DfwwuwTS/8Ot4V1dp63x4AgEVRVa21Vmu9HKtpEeoIAOuV25EAAAAAJiCEAQAAAJiAZ8KssKr6SpID1no5VtkVrbUD13ohmMaCbNOL5oY2vCDrV5/FuqUNw95tQdrwotmqz1qQdayf3gWeCbPCFuE+7UWoI1tY3+vPeJ0uwvpdhDqyxSKsb20Y1g/b9/ozv04XYR0vQh1XktuRAAAAACYghAEAAACYgBAGAAAAYAJCGAAAAIAJCGEAAAAAJiCEAQAAAJiAEAYAAABgAkIYAAAAgAkIYQAAAAAmIIQBAAAAmIAQBgAAAGACQhgAAACACQhhAAAAACYghAEAAACYgBAGAAAAYAJCGAAAAIAJCGEAAAAAJiCEAQAAAJiAEAYAAABgAkIYAAAAgAkIYQAAAAAmIIQBAAAAmIAQBgAAAGACQhgAAACACQhhAAAAACYghAEAAACYgBAGAAAAYAJCGAAAAIAJCGEAAAAAJiCEAQAAAJiAEGYPU1W3rqp3V9Xmqjq/qn6oqt40Gv/Sqtowen1ZVT2xD9+zqv66D9+xqr5ZVTfrrzf3eX+qqp7Ry46uqpdNW0PWs9H2u6lvv+/p296Vvew9VXVyVX2yv95UVYf137fs83hPVT2tDz+9qn6hD39nVX2rqu48+ntXVtXZVfWBqjq8qo7qf+9jVfXpPt9nT/wZHD362++sqptX1a9U1fv7z0l9utPnPpvT++8PVdUX+vDLq+q0qvqnPu2mqtpnVHZuVb10yvoten1ZX6rquL6tnVNVb6+qA6rqwX073adPc1BVXV9Vh/bXd+x90VFLbP/79u/pi/t831VV+/b3zbb9TVX1q73svLnlOa2q7qW+wI01aq9nV9UZvb3foqr+orfXs0ft/OQajhGqv95cVXvNceIy+yJL7TeeN/eel8yX7w0Wrb7r0V7TuBbIU5O8vbV2bJIHJbkmSVtqwqo6OMl5SR6dJK21Tye5Zx/9gCQfTnL/3onesrX21SRfSvKU0WyWnDfsptn2uyHD9vvEvi1f2lrb0Fp7ZJ/u1P56Q2vtwiQXJfmhPu7aJIf24cOSXNCHH5fkL5L86OjvXdpaOy7Jk5Kc0lo7t/+95ybZ2Of/mlWq6/Zs7J/B+UmemOSerbWjk2xI8viquk9r7YS5z+aE/p4nJzmzl724z+/HW2vH9rLrRmVHJTmyqm41cf3mLVp9WQeq6vZJfi3JI1trxyT5lST7Zuhr/jrJcaPJL+rlydAHfXQ0brz9Pz7D9+rz+/Z+fpKH9+lm2/6G1tpv9bLJvoMXrb5AkqG9HpfkL5P8RJKXJjmjt9cnJ3n1LIBN8rVsafd7Y1sd901PyNL7jcvVS32ZlBBmz/P1JEdU1e1aa9cn+WqSWmbaE5P8cZJbVr/iJcnlVXW7DAevf5bk8CT3TfKJPv6aJB+sqoesVgVYaFttv621r/Xy+W14/vWFSQ6vqoOS/J8kt+3l909ycR8+JskLkjxsifkckK2/UJZrM1O7JMnGJK9Mktbat5P8YYYvy12xVF9dVXXTJLdcZvxaWLT6snc7IcNO7NeTpLX2r621LyT5niS/mS0HI0nyLxm+S5PkIUn+cYn5XZLk7n141gfdJsnVc2VrZdHqC2y9n5QkR7bW/jpJWmtfSnJ2kiP6uNOSPHPufXujWd90TLbdb1yO+jIpO7J7njcl+c8km6vqzCR3TvLQfrnZ5iQnj6b9wdbaR5KckWEnKekHs0nuleTtSQ7J1lcTtCSvTfLzkYKy8rbafqvqjr18fls7ZXSZ+t0zbJ+HZ7iC68Ik11bVdyS5vrX2rX4G97/71Vxfrarb9Pncr6ren+ScJC9f3artktmX29EZruz5/GjcZzO0613x5n5p8NtGZX+V5N+TnNs/l7W0aPVlfbhLtt5WU1U/mOSi1trnktxpbvpPVtXhSb6Z4YTGDW/rv4/KEF5UkldV1YeSPDLDWcpk6K9m/d5Pz713CotWXyA5qaouTPKsDCdJ5n0uw3d0S3Jlksuq6gHZO48Rxn3Tp7L0fuN6smj1XVeEMHuY1tp1rbWXtdYOTvKGJL+ULZfqH5vkjUlSVd+VYQfn9Ay3Yjymz+KiDKFLtdauyXDW+IcyHNjO/sYXM5ypus80tWJRLLP9JtvueI9vR/psa+0/MtxKNwthPp7kpAzpfjJcWnlIVb03yQ8keVQvv7Tf9vLCJEeuVr12w0lVdXaGs8JvSXLX0bi7Z+5AaCf8RL895/Gjsh/P8HkdcqOWdGUsWn1ZHz6f5G5zZScmOa73Nd9bVbN+pSX5uwxXmL4rW/dps+3/tkn+vpc9v7V2RJL/J8kpvWx8e87rR/OdyqLVFxiufpudjD1oifGz7+jK0D5fneGW7r3RuG/aP0vvN47tl+QbfXhv7JsWrb7rihBmD1NV9xjdm/mlbLuOZjtCJyb5qf5cheOy5aDngiQ/luQz/fXXMhycXjz3/tdk7+1k2UPtxPZ7w6RLlF2e5JDW2uczPH/gWdlyBdcjk/xIa+0RGa62mIWOs/m8MclTZw+U2wNsbK0d11p7doYr0k5Jkv7Z/FKSd4ymXWqZ58uWvD2nX0p8cVUdvwLLfGMsWn1ZH05P8pR+1V2q6ruTHNZaO6r3NY/L8F2bJGmtXZThRMfpc/O5Yftvrc12bGfb9FXZchvAzmz7y5WthEWrL7DFK5K8KMmHqurJyfDQ7QzPbvun2USttX9LcqtsG9juDcb7Ig/P0vuN11XV7Jb3B2W4BT7ZO/uhRavvurLPjidhYock+Zuq+nqSbyX5jSQ/NxrfMjScEzKk1TP/XFUPbq2d13ewZle+XJzk/qOHW7Ykaa19pKr+exXrwWKa336f3svnE/cXVNXsAdEvb62dnWGbnT2Q92MZnkfw4aq6dZLvaK1dmyStta9V1e2qar9s2Z6vr6ozMlwx83erVLfd0lo7varuX1Xn9qI3tNY+MZ5kqbfNvX5zVX2zlz9xbvwbkrwqw22Ja27R6sveq7X25Rr+Q+C7e377tYxuu2mtXVZVD8zou7a19swkqaodnUX8vaq6sg8/o//+gara1Ic/0lo7pZed2cvelWFbf2Pf/q9prS11NnO3LFp9gS16+759kl9O8jtV9XNJrk/ynNbadXPnsF6b5MwlZrNX2M5+475JfjXJu6rquiSXtdbe29/2/eO+qa3NP3XYLYtW3/WitpzEYCVUVWutret0cRHqyBbW9/ozXqeLsH4XoY5ssQjrWxuG9cP2vf7Mr9NFWMeLUMeV5HYkAAAAgAkIYQAAAAAmIIQBAAAAmIAQBgAAAGACQhgAAACACQhhAAAAACYghAEAAACYgBAGAAAAYAJCGAAAAIAJCGEAAAAAJiCEAQAAAJiAEAYAAABgAkIYAAAAgAkIYQAAAAAmIIQBAAAAmIAQBgAAAGAC+6z1AgB7vqpqa70MrKgr1noBYDUtQJ+lDcM6sgB91qLRR7NdQhhgu1prtdbLALCz9FnA3kSfBYvH7UgAAAAAExDCAAAAAEzA7Uiwi6rqK0kOWOvlWEVXtNYOXOuFgNWyAG14Eem3FsgCtOGF3p4XYP0mC76OYdEJYeD/Z+/uoy2p6jv/vz+KojE+ACKiUX7R+Bh1qQmKGkEblIRRE5mJDiKaxGhiRk10CVm/0WAUjQmOv0ycqElQUECzRkEGgygq3TwIMYJPJOMgE9TxCQQHlAiCYH9/f9Q+dN3T597uhnvr3D71fq11162z66Fr371r1z7f2rt6x+22yPN3fTmcRmChr+Exst0anYW+hq3Pi12+YBlLY+d0JEmSJEmSpAEYhJEkSZIkSRqAQRhJkiRJkqQBGISRJEmSJEkagEEYSZIkSZKkARiEkSRJkiRJGoBBGEmSJEmSpAEYhJEkSZIkSRqAQRhJkiRJkqQBGISRJEmSJEkagEEYSZIkSZKkARiEkSRJkiRJGoBBGEmSJEmSpAEYhJEkSZIkSRqAQRhJkiRJkqQBGISRJEmSJEkagEEYSZIkSZKkARiEkSRJkiRJGoBBGEmSJEmSpAEYhJEkSZIkSRqAQRhJkiRJkqQBGISRJEmSJEkagEEYSZIkSZKkARiEkSRJkiRJGoBBGEmSJEmSpAEYhJEkSZIkSRqAQRhJkiRJkqQBGISRJEmSJEkagEEYSZIkSZKkARiEkSRJkiRJGoBBmDlK8r4kD2/L70zyp2356UnelmTXJNcleUJvn/OnjvGGJBtmHPtTSY7qfb5DkrcmOSfJ+UmObOk/SLKx/bx+jbKqZSQ5IMk32t///CQPT7IpyR1622xqvw9P8o9Jzk3yNy3thCQP6m17/tb/ijSMVp+PacvHJXl3b90bklzS+3xkksvb8glJPtvq/sYkuyQ5KMmFrb6fPnxuts8kz0nOa583Jfmr3vozkhzflr+W5DW9df/c/i5vTfKclrZ3ko1D52PaDrZN5/TK7pVT+25Mco+2fvJzSpJXteWvJ/lS2+7slnZt73h3n99fYRx6dfjnk5zZ/u4fTrJHW3/g9LXY6u2XeuX0c72085O8uW13a51Jsk+Sk+aX0y3GmOexSXJwkvNaWf2XdP3gWX3oA1s536OX/pdJ9p9ut9q6yecLkvzu0PnSeCW5e+tTbGrt0y9N2pdl+hdHt+Xl2rkT+u3T9PWhtbXLvE9g5D4H7AtcCtwDuGtL37etOxj4e+C57TNAbeugSXYHrgH2B45tyS8Drquqp7Vt9m/pl1TVVkEcDerEqjo6yX7A77N1GU8+vwrYr6oqyT2XOdY264e0xqp9AdmbrQP9NyZ5cFVdDjwJ+FZv3WFV9fXJh3RB4YOq6oYV6vt69QCAJD9L17Zf1dK/C+zX1j0EuJ7umn0L8LEkZwJvBF439AkvY3vbps3AgVVV0H3Bnew72TBJ9bdp3tE6iZ+pqo29bTfO2FZr7zjgZVX1tSRPBt4BHA78CbOvxddMldutaUn+IcnPsXydWS/GmOeF175k/mfgmVV1Y5I/Bl7K7LIo4B+AZwMfaGlPBl7T1k23RbemJbkAeM8aZUOa9iLg1Ko6ofWzHsmWOj3dv7iht99y7RzALya5b1VdiW3VoBwJM18XAU9IcifgJ2wpj0kQ5tfpOgKP3sHjPgf4EPCdJHu3tEOBt082qKrz2mJu26lrFU3K4J7AD1fY7meAJyVJVfW3swy13uwPbAI+077AT5wGHJrkvsCVdF/eJ6bvR5uBDUl2marvO4OL0o1g/HfAx3rpBXwvyV50bfJpAFX1I+CDwF8BP1tV/zjw+S5ne9umsHX5zWqXZvU5Zm2XZdK1du4PXFFVXwOoqguBvVpHf7lrcaUy+ud2zP52661Mx5jnsfh3dIHgG9vn/0r3QHM5p9H1uUnyOODLLfCyXNt2hyR3BXZd1bOWVnYD3feAPapqM/BvvXXT/YuPACR5ILPbuUnb9DfAK9qy7dWADMLM15eAxwKPAb4MfDPJPsA+wLeBe1XVVcAlSR6xA8c9GPg4cCpbbjp3qaqfzNj20dkyZNxhlfNxRJJzgeOBD6+w3W8BRwKXJXlpL/3kVn6b1vAcpe0VunbnlPZzaG/dRcATgd8ApqcYndwf8k331PIw4NLJkNqdyGl0f4NfY2kQBrp8/wbwBOCzvfTjgGeyfkbBwPa3TQCfbu3QU3v7bkzy3vY5vW3+ehvH8mnc8B5A9yS17ypgD5a/Ft/em5pz68jqJHeke5h0Ob1ypxvZu56MMc9jsTe9sq2qm4A7L7dxG515vyR3pmu7T+ut/nQr8367dTbwDeBvV/OkpW04iW4E8aYknwTuO7V+Vv9iybXQfA/Yk+5eezZdYOcua3XSms3pSHNUVTe3QOST6b6c7AkcQndxPA14WBuefnfgR8D/2tYxk9yNbjjaKXTlexPwLuDHSe48IxDjdKT5mwz53xN4L3Aj3dOVHyfZFfgxQFV9HnhuayjPSTIZNnv4JMKd9l4KaY4CbAAe0pbv01u3GbgCeD7wDOCPe+te0J+O1DrFh7en0qcneWhVXbbWJ78KCrgM+EW6dnv6SdUm4PXAJUt2qtqc5FvA/xnoPLfHdrVNzYaVpiMxe1i/1o9vAfebStsL+H5VXc3UtdjWz5qa8//RTYf++6r6fkvb0KZu7AMcs8b52BFjzPNYXMGWUUm09upmVv7e8ym6+9KBbCmz5aYjbQAeSjda/bjVO21peVV1C13dPCbJ84E/oqvXsHz/Ysm10OwFXE3XRyu6aXhH4AOQQTkSZv6+TDfC4YvAF4CX0wVkDgWeXVWHVNVT6d6fAMsP3Z44BHhT2++ZwDVJ7kU3LO21t+6w5WmlQ8/mb1IG19O9P+J/Ak9paU8F/gUgyS8AtOG1NzCb5al5exzwkdYG/RpwVpJH9da/HzijdSb69XXJ/ahX3zcD106vX8cmeTqF7qnVknVV9VO69w+cuMK+68V2tU1T2650rO0tw/X2dxiD79CNBPgFgCRPAb7XAgn9a/EatpTjrHJ6TVVtqKr+F9P1Wp5jzPNYfJxuNN7kXYuvZunolllOo+snf7OqJl9sl5uOlKr6KkCSh63OKUsrS/LA3gi8q1laN2f2L6rqm8DeU+3cVVOBxQ+w5R0xGogjYebvc8CvtC/W325PHC8Cju4/FQaua/P69mhD0Gjb3QT8RZJr6G4MP2HL3D6AC+heNvZ3wJ8lOQe4I/BR4HzadKS27eer6si1yKRW9MLWKN6FLsL9BeD4JP+Z7svPb7ft/rIF1AA+3F4Y6AsAtZ6EbprlOb20c+mGdxdAVV0MXNzW9evryUlubGm/CRzVgjc3A5+tqkvX9tRvswA/ZUteJvk8Ebr/HaW37WTd29u6A6aOtd6u32Pj8oYAACAASURBVO1tm7bnvItuWD/ALVX1jBX2XW9/h0UX4Ba6KTjvaqMGrgF+r63f6lps5fhfkvyArrxeyc5VlmPM82hU1dVJ3kr3EOCndA863wb84Yw+9GSfS5Lcn270+K3JbN1u9cv3vXQPT/9ozTIjbfFY4ENJbqBrm95I99J8WLl/8TLgnTPauck+N6X7n5Gm+yRaQ3Fk8OpKUlW10E9AxpDHlSx6/hc9f1pqNcs7yQuBu1XVuponP53HMeR5bMbcbt3evO8MdXi1r+H1nucx12cYR/7HkEdtMYbyHkMeV9POMrxbkrSOJXke3VPlU+d9LkMZY561WMZYh8eYZ0nS+uJImFU2hijgGPK4kkXP/6LnT0uNobzXciSM1ocxl+kY8j62a3jR87ctY8j/GPKoLcZQ3mPI42pyJIwkSZIkSdIADMJIkiRJkiQNwCCMJEmSJEnSAAzCSJIkSZIkDcAgjCRJkiRJ0gAMwkiSJEmSJA3AIIwkSZIkSdIADMJIkiRJkiQNwCCMJEmSJEnSAAzCSJIkSZIkDcAgjCRJkiRJ0gAMwkiSJEmSJA3AIIwkSZIkSdIADMJIkiRJkiQNYJd5n8AiSlLzPoc1du28T0DS6hljmzWCPI/NqO9LI6jPoy5fSTs/22n1GYRZZVWVeZ+DJG2vMbZZY8yzFpf1WZLWN9tpTXM6kiRJkiRJ0gAMwkiSJEmSJA3A6UirLMk1wG7zPg+tqmuravd5n4SG4TW8kEZ9DVunF9Ko67Qk7UxGch/2vrQDDMKsvt2c97dYRvAiLS3lNbxgvIat04vGOi1JO5WFvw97X9oxTkeSJEmSJEkagEEYSZIkSZKkARiEkSRJkiRJGoBBGEmSJEmSpAEYhJEkSZIkSRqAQRhJkiRJkqQBGISRJEmSJEkagEEYSZIkSZKkARiEkSRJkiRJGoBBGEmSJEmSpAEYhJEkSZIkSRqAQRhJkiRJkqQBGISRJEmSJEkagEEYSZIkSZKkARiEkSRJkiRJGoBBGEmSJEmSpAEYhJEkSZIkSRqAQRhJkiRJkqQBGISRJEmSJEkagEEYSZIkSZKkARiEkSRJkiRJGoBBGEmSJEmSpAEYhJEkSZIkSRqAQRhJkiRJkqQBGISRJEmSJEkagEEYSZIkSZKkARiEkSRJkiRJGoBBGEmSJEmSpAEYhJEkSZIkSRqAQRhJkiRJkqQBGISZoyTvS/LwtvzOJH/alp+e5G1Jdk1yXZIn9PY5f+oYb0iyYcaxP5XkqN7nOyR5a5Jzkpyf5MiW/oMkG9vP69coqzMl2T/J2Uk2tfN98qzzSfLzSc5saR9OskdLPyHJZ5Ocl+QNveM+KsnH23HPSfKsln5pO8amJH89ZF7HmN8xS3JAkm+0v//5SR7eK58Lkvzu1PaXJXle7/Omtu+nkrw/yX2SPDLJh3vbfCjJo4bM17a0fB/Tlo9L8u7eujckuaT3+cgkl7flSd2e5HuXJAcluTDJuUlOHz4347ZCHb5Db5tN7fc5vbJ75dS+G5Pco62f/JyS5FVt+etJvtS2m7SP1/aOd/eB8ntb7seXtnO+sNfuvriX/pEku/S2XdIet7z/Tu/vfcwQedUWSe6e5IxWLhcm+aUkm5M8vq2/T5Kb092/D0hyTJLjZ9TT5/TLr7VpD5pfzjStV34/n+X7WA/qbX9++70pyZva8j5JTppPDjR2y7RXJ7V1X0vymt62/5zk6La8Up0/qbfP+dP/ptbOLvM+gZH7HLAvcClwD+CuLX3ftu5g4O+B57bPALWtgybZHbgG2B84tiW/DLiuqp7Wttm/pV9SVVsFcdZaawDeCDyrqq5PcjfgIcucz3HAy6rqa0meDLwDOLytO6yqvp7krHaMnwDvBH6zqq5qHeDHt22vmkdeYXz5FQAnVtXRSfYDfp/u2t1QVZXkAuA9AEkeA5wPPBv4UNu3gAPbtk8H3l1V/z7J1UmeCvwUuLaq/mXoTG2Hal/U92brQP+NSR5cVZcDTwK+1Vt3WFV9ffIhXVDyoKq6Ick91/ysNcusOtw3+byZVl+h+7Iz2XeyYZLqb9O8o3USP1NVG3vbbpyx7Vq7Lffjq6rqwCR3AT4GnNHSj62q45O8DngmcCaz2+Or6dr249vnIfOrzouAU6vqhNZuPRK4mK6cvwD8evs9UVU1CZzdWk9bne+Xn2W5fq3Ux+rrl+H+Se48I10a0qz2alIfvwvsB5DkIcANvf1WqvO/mOS+VXUl1u1BORJmvi4CnpDkTnRfpiflMen0/TrwJ8Cjd/C4z6H7MvedJHu3tEOBt082qKrz2mJu26nfbocAJ1XV9e18rq+qL02fT5IHAldU1dfadhcCe2XL09gkuSPwM3R/v/2Ac6vqqrb9LVU16TDPK68wvvxqy9//nsAP2/IdktwV2LW33aHAu4CfaW3Bkv2rahNwjyQB3gD8KXA0XduwXu0PbAI+077AT5wGHJrkvsCVdF/eJ6bvR5uBDUl2qaofonmYVYeX2266/Ga1P7P6HLO2yzLpa+m23I8n53h3lj7UmqTfa0Za303ABUkOun2nrtvhBuBJSfaoqs3AvwFfBR7R1h8EfHqZfafr6XLLWj/uzzb6WMvs90G6L8DSPM1qryYK+F6Svej6lR+BFb9XTOr63wCvaMu2WwMyCDNfXwIeCzwG+DLwzST7APsA3wbu1b5cX5LkEcsfZisHAx8HTqV7mgNwl6r6yYxtH50tQ8Z/d8b6tXI/4AqAJIelG+7+thnnszdddLfve8AebfmDwNeA86rq36aO+/Q2ZO+Dbds9M6epV4wvv4IjkpxL95T7w3Q3t7OBbwB/29vucVX1eeAsug4/bH0jvBq4d1VdDZwHfG4SeFuHQtfunNJ+Du2tuwh4IvAbwPQUo5Nb/T2lfX4pcBhw6WRIrQY3XYdX8unW1jy1t+/GJO9tn9PbZlvTI+fxNO623I/3THIO3eiZt/aOdWSSL9MFcM7qbTvdHhfdSMY/wCeQ83IS3Yi8TUk+Cdy3pV+aburZjXTBslmmy2xS5zfR9cO0/jyAlftYJ/fKcKKAk4EXDHB+0kqWa68mTqfrXz0B+GxLW+57xZ50dftsusDOXdbqpDWb05HmqKpuboHIJ9N9OdmTbsTE94CnAQ9LcibdU7YfAf9rW8dsU1T2o/vyswtd5+FdwI+T3HlGIGYu05HoAgf3B6iqv2/TM944fT4tgnv/qX33Ar7flg+j+9uc0Dvuo9txN9E1VJNh7vOcnjO2/GrLVI49gffSpiMBD6V7on5ckgfTBeLOpBsdcxldAHXafdhSB74B3HGNz/32CF0+H9KW79Nbt5muzj4feAbwx711L+hPR2pTlg5vTyhPT/LQqrpsrU9eS0zX4Rvp6umPk+wK/Li37YaVpiPRm2I30LnvkNt4P76qqp6W7r1sBwOfaIc7lq6N/h/A7nRB1JntcVV9L8l1wMPXLndaTlXdAhwDHJPk+cAfATfTld1xwFvohvxvj1vrfJLjt7Wx5uJbdA+v+vp9rMMnIwaSnNfb5kbgM3TTC6W5WKG9gu4euwl4PXBJb7dbv3/07EV3X0rb7wPAEfgwYFCOhJm/LwO/BXyRbt7xy+k6gIcCz66qQ6rqqXTvT4Dlh25PHAK8qe33TOCaJPeiG5b22lt32PK0cl5Dz84EXpjkHu3znWZtVFXfBPZO8gsASZ5C15mdNBRpowO+nORgusjvAZNpWGkvRZxsuwb52F5jy6+2/P2vp3vHBHTl91WAdC8BPRR4SbteD6Qr+/T3b19or1mvX15neBzwkZanXwPOytIXCL8fOKN1Jvp1dMn9aHINtCG3106v1yCm6/D/BJ7S0p4K/MuMbVc61vaW4bzartt0P27vs3l8u9fS0iajXF7T33bKJO2/AX+4qjnRdknywN5982paHa2qi+neDXMmy9fHleqp99/16TvA/VboY80yKct30Y1ak+ZiufZqsrqqfgr8A3DiJHE7vldAF4SZ9V4krSFHwszf54BfqaobgW+3J44XAUf3nwoD17VREnu0IWi07W4C/iLJNXQ3ip+wZW4fwAV0L/z8O+DP2tDpOwIfpXsZ6KN7Iyc+X1VHrkUmp1XV99P97xOnJ9lMF8n9c+C0GefzMuCd7cnrNcDvTQ7TO+R7gbdX1VlJXgG8P927UzbTdYQB7t2OHeDbVXXEGmZxibHlV0AXdHsKcBfgzfSCoHQv5X053dSHd/TSv0L35baATyW5he7dKf9pkDO+/UI3reOcXtq5dNOTCpZ8uYGldfrkJDe2tN8EjmrBm5uBz1bVpWt76pqhX4ePoQtMHJ/kP9MFZn67bbc9AcKim44EcEtVPWOFfecVcNzR+/F0J/a36NrsiU/RPbG8E206Ekvb48k18fkk/3etMqUVPRb4UJIb6NqaN9K9hJqqeinc+lLpWVaqpztL0HxMAtxCN9X1XdvoY/VNrtMrk/zzmp+ltLxl2yu21NO3w60P8CZW/F5RVTel+5+R+vtojWXnebi6c0hSVeUTkAUyXaaLXsaLnr9tGXv+b48kLwTuVlV/u82NBzT2Mh17/hfR2Mt00fO/6PnblrXI/3q7P429jMdmDOU9hjyuJod3S5JutyTPo3vCeOq8z0WSpAnvT5LWG0fCrDKjgIvHkTDjMvb8L6Kxl+nY87+Ixl6mi57/Rc/ftowh/2PIo7YYQ3mPIY+ryZEwkiRJkiRJAzAII0mSJEmSNACDMJIkSZIkSQMwCCNJkiRJkjQAgzCSJEmSJEkDMAgjSZIkSZI0AIMwkiRJkiRJAzAII0mSJEmSNACDMJIkSZIkSQMwCCNJkiRJkjQAgzCSJEmSJEkDMAgjSZIkSZI0AIMwkiRJkiRJAzAII0mSJEmSNACDMJIkSZIkSQPYZd4nsIiS1LzPQavq2umEBS/jrfI7NgtevmNknbZOLxrr9GLXact3scsXLGNp1FK16G2cJEmSJEnDS1JVlXmfx1oaQx5Xk9ORJEmSJEmSBuB0pFWW5Bpgt3mfxxq7tqp2n/dJzMtIynhsRlunrc8LabT1GUZTpy3jxS/jsbm1Tlu+C2nUbZY0zelIq2wMQ7HGkMeVjD3/i2jMZTrmvC+qsZfpGPI/hjyuZOz5X0T9MrV8F8/Yy3QM+R9DHleT05EkSZIkSZIGYBBGkiRJkiRpAAZhJEmSJEmSBmAQRpIkSZIkaQAGYSRJkiRJkgZgEEaSJEmSJGkABmEkSZIkSZIGYBBGkiRJkiRpAAZhJEmSJEmSBmAQRpIkSZIkaQAGYSRJkiRJkgZgEEaSJEmSJGkABmEkSZIkSZIGYBBGkiRJkiRpAAZhJEmSJEmSBmAQRpIkSZIkaQAGYSRJkiRJkgZgEEaSJEmSJGkABmEkSZIkSZIGYBBGkiRJkiRpAAZhJEmSJEmSBmAQRpIkSZIkaQAGYSRJkiRJkgZgEEaSJEmSJGkABmEkSZIkSZIGYBBGkiRJkiRpAAZhJEmSJEmSBmAQRpIkSZIkaQAGYSRJkiRJkgZgEEaSJEmSJGkABmEkSZIkSZIGYBBmjpK8L8nD2/I7k/xpW356krcl2TXJdUme0Nvn/KljvCHJhhnH/lSSo3qf75DkrUnOSXJ+kiNb+g+SbGw/r1+jrApIsn+Ss5NsauXz5Fl//yQ/n+TMlvbhJHu09BOSfDbJeUne0Dvuo5J8vB33nCTPaumXtmNsSvLXc8jvgb1z+kiSjyZ5UG/9AUne1JY3T+pxkhcneUn7G2zq/Y0+1lt/Xjtuv45PH+N3hs2xWpke05aPS/Lu3ro3JLmk9/nIJJe35Und3tTKepckByW5MMm5SU4fPjc7puX9G+38v5Dk4qn6O7n2v9jb7pVt3yOSfGXeeRiz23g/vrSV64W9dvfFvfSPJNmlt+2S9jjJ1yftVP/a0XCS3D3JGa1cLkzyS+1e8vi2/j5Jbm737wOSHJPk+Lb9tb026zn98mtt2oOW/5fnq5eXlfob/fv1+e33pt59e58kJ80nBztuEfM83W60PLwkyUum0h7Ylv996zud0+r9Q6fz1O7VG6buaRuTPGvG9fL4YXMs2Kp/fWqS3ZI8tfU3JvecfZJc2e5F50zq9ox6fnaSPdvyc5P82XxyNT67zPsERu5zwL7ApcA9gLu29H3buoOBvwee2z4D1LYOmmR34Bpgf+DYlvwy4LqqelrbZv+WfklVbRXE0epqN/k3As+qquuT3A14CLP//scBL6uqryV5MvAO4PC27rCq+nqSs9oxfgK8E/jNqrqqNb6Tm+JV8yrbJPcG/gQ4pKpuSPIQunws53LgD4CN7XNV1SHtWOdN8pHkkcChwAFVVUneneSZVfXJGcfQfFSSOwB7s3Wg/8YkD66qy4EnAd/qrTusqr4++ZAuKHlQqz/3XPOzXh0nVtXR/YR+/W2f96fLV3+7Q4B/SvKwqvrqQOeqpW7L/fiqqjowyV2AjwFntPRjq+r4JK8Dngmcyez2+Gq6tv349nmb93etuhcBp1bVCa3deiRwMV05fwH49fZ7oqpqEjjbCBzY7kUHsLT8dpayXKm/0dfPz/5J7jwjfWexaHmePp+Zn5M8AjiCrs7+tPXTdl9mn4kl97Qk/4ml18tdl9lPa2RG//oXgF3p2qz/DhwInNU2/2RVvSjJU4DfB46accijgTe3sn01XX9EA3AkzHxdBDwhyZ3ovkxPymPS6ft1ugvt0Tt43OcAHwK+k2TvlnYo8PbJBlV1XlvMbTt17aBDgJOq6nqAqrq+qr7E1N+/Pa24oqq+1ra7ENir3ezaJrkj8DN09WU/4Nyquqptf0tVTb4gzLNsD6G7ed8AUFX/G7hyhe2vBH7UgjXT+vn4D8A7qmrSYXgb8LztOIaGtT+wCfhMkv166acBhya5L115be6tm74fbQY2JNmlqn64pme7erbnmpu+5u9Kl/fj6NppzcdtuR9PyvLuLH2oNUm/14y0vpuAC5IcdPtOXbfDDcCTkuxRVZuBfwO+CjyirT8I+PQy+4al5brc8np1f7bR31hmvw/SBa92RouY5+2ta5P+008Bqur7VXXZNo4xnb7kepn0aTWo6f71v1bVlXQPdt9EF4yZmJTfbssdrKouAO4J/BVwclX9aE3OWlsxCDNfXwIeCzwG+DLwzST7APsA3wbu1b5cX9Ii2NvrYODjwKlsuRjvUlU/mbHto3tDDX/3tmZE23Q/4AqAJIelmxL2Nrb+++8NfHdq3+8Be7TlDwJfA86rqn+bOu7T2/DED7Zt98z8pprtPTmvHfAO4A9Z+anO9N/n2y1tW8fQcELX7pzSfvqBhYuAJwK/AUxPMTq51d9T2ueXAocBlyY5mp3DEb1r7pdb2rY6yL8KnNm+DDxhG9tq7dyW+/GeSc6hGz3z1t6xjkzyZboAzlm9bafb46IbyfgH2GbNy0l0I/I2JfkkcN+Wfmm6qWc30gXLZpkus8n1v4muH7bePYCV+xsn9/IzUcDJwAsGOL+1sIh53t561+8vvjrJPyZ5VVv3jN4xXjzj2JN72on0rpck91mD/GhlW/WvkzwOuLiqvgPs1Vv1jCQXAu9m5dHorwOeQfcwSANxOtIcVdXNSQCeTPflZE+6COf3gKcBD0tyJt1Tth8B/2tbx2xTVPaj+/KzC13n4V3Aj5PceUYgxulIw7iC7gkMVfX3SS6gm5605O/fRsLcf2rfvYDvt+XD6OrCCb3jProddxPdjXEyHWdu05Ho5Xc7VVV9IclbgH8Frltmu++2406uhZ9jy81oe4+htRVgA91TmQD9TtpmuvJ6Pt0N/497617Qn47Upiwd3p5Qnp7kob2nduvVVtOR2PaX6+cAD0jyH4GHJrl/60hpQLfxfnxVVT0t3buoDgY+0Q53LF0b/T/ohvtfzTLtcVV9L8l1wMPXLndaTlXdAhwDHJPk+cAfATfTld1xwFvopihtj1uv/yTHb2vjdeBbdF/M+/r9jcMnI0aSnNfb5kbgM3RT7XY2i5jnfr07gS6QeG1v/V2BH9PrP1XVXyb5PF3bBm3aSjtG/x42657Wv15eDfy/q5wfrWxW//pQ4IA28viBbZrdd9gyHelNwKPoHijM8g3g271R5hqAI2Hm78vAbwFfpJt3/HK6DuChwLOr6pCqeird+xNg9lPVftohwJvafs8ErklyL+AjwGtv3SF56grH0+o7E3hhknu0z3eatVFVfRPYu83xpM3jvKrXMKaqrga+nORg4LN0De/ebftZQ+Ln4Uy6L9A/C9Dys/cK5zRJfw/dCIhZ66CbzvKqNiULuvmtp0xtN+sYGs7jgI+0NujXgLOSPKq3/v3AGe3LT79sl9yPJtdAmyJw7fT6dWpb7fPSFd31untVHdT+Vi9n6VBiDes23Y+raiPw+HavpaVNRrm8pr/tlEnaf6MbwaeBJXlg7755Na2dqaqL6d4NcybbP1Vje9etF98B7rdCf2OWSb7eRTeCa2czhjyfDjwFIMmuwANav/FU4JXZ8m6bfj90u6bVzbhedoZ6vmhm9a/3rar9Wz/iuWwZgTwpn7ez9H0wO9RX0dpwJMz8fQ74laq6Efh2ujdUXwQc3X8qDFzXRkns0YbM0ra7CfiLJNfQXUA/AV7R2+8C4NnA3wF/1oZO3xH4KHA+bTpM2/bzVXXkWmRy7Krq++n+t43Tk2yme9L258BpM/7+LwPe2W6e1wC/NzlM75DvBd5eVWcleQXw/haY2EzX8Qe4dzt26CLcR6xhFpdo+T0GOKM9Xb6Grq6+L8lkePex/V3a79Po3vPCjHVU1b8kORU4p/0dP15Vn9iOY2gYoZvWcU4v7Vy6TkHBki83sLROn9zqRgG/CRzVgjc3A5+tqkvX9tRXxQtbpx7gvVX1AVYeCbOB7u81cQHdl/bB/zczATt+P+6X7QfoAjjX9NI+RffE+E606UgsbY8n18Tnk/zftcqUVvRY4ENJbqBra95I9wJLquqlAEmWu4ZXurbX+xPlALfQPbB41zb6G32TOntlkn9e87NcXWPIc9GNerk8ybl0QcU/B6iqryT5APDpJDfRje55XW8/ZiwvuafRvTOpf7389prlRDPN6F9fT2/KZFVdluSJdNOPJnX3h0m+meSxbbNb++JV9azJroNlQkD3VH3e57BQklRVLXQ0cQx5XMnY87+Ixlymq5n3JC8E7lZVf7sax9NtM+b6DOPI/xjyuJKx5//2Wo9tdb9M16J812Oex2Ts1+wY8j+GPK6mnWF4tyRpnUvyPLonjKfO+1wkSbONsa0eY54lrW+OhFllY4gCjiGPKxl7/hfRmMt0zHlfVGMv0zHkfwx5XMnY87+I1nokjOZr7GU6hvyPIY+ryZEwkiRJkiRJAzAII0mSJEmSNACDMJIkSZIkSQMwCCNJkiRJkjQAgzCSJEmSJEkDMAgjSZIkSZI0AIMwkiRJkiRJAzAII0mSJEmSNACDMJIkSZIkSQMwCCNJkiRJkjQAgzCSJEmSJEkDMAgjSZIkSZI0AIMwkiRJkiRJAzAII0mSJEmSNIBd5n0C0s4oSc37HLSqrp33CcyT9XnhjLo+axxstxbOknbL8l04o78vjaBOj76Md4RBGGkHVVXmfQ7SarE+S9rZ2G4tNstXi8Y6rWlOR5IkSZIkSRqAQRhJkiRJkqQBOB1J0oqSXAPsNu/z0Kq6tqp2n/dJzMsI6vSoy1eLz2tYi2QE9Rmm6vRI8jw2tls7IFWL/o6gYSWpRZ/3N4Y8agvLe/GMvUwXPf+Lnr9tGUP+x5DHlSx6/hc9f1pqDOU9nccx5HlsLNMd43QkSZIkSZKkARiEkSRJkiRJGoBBGEmSJEmSpAEYhJEkSZIkSRqAQRhJkiRJkqQBGISRJEmSJEkagEEYSZIkSZKkARiEkSRJkiRJGoBBGEmSJEmSpAEYhJEkSZIkSRqAQRhJkiRJkqQBGISRJEmSJEkagEEYSZIkSZKkARiEkSRJkiRJGoBBGEmSJEmSpAEYhJEkSZIkSRqAQRhJkiRJkqQBGISRJEmSJEkagEEYSZIkSZKkARiEkSRJkiRJGoBBGEmSJEmSpAEYhJEkSZIkSRqAQRhJkiRJkqQBGISRJEmSJEkagEEYSZIkSZKkARiEkSRJkiRJGoBBGEmSJEmSpAEYhJEkSZIkSRqAQRhJkiRJkqQBGISRJEmSJEkagEGYdSDJgUk2JTknyUeSfDTJg3rrz+8tH5HkK73PByT5RpKzk5yVZLeWvinJHXrbvTjJpUk2tp9fTvKAJJ9u234myf2HyrMW33bU6wOSvKktb06yoS2/OMlLkpzZ9v9Bq7Mf660/rx33qN7xpo/xO8PmeNt61+vGJOcnefjkWk3yhsn5t233SXLSPM9X22+qbL+Q5OKp+nt2+/zF3navbPsuade1/kyV78Ykz2rplyV5Xm+7Te3ngiS/29v3mHmdu5aX5O5JzmhldmGSX2r3kse39fdJcnOS/SflmOT4tv217ffGJM/pl3GSE/r3O2ktTLctrd69JMlLptIe2Jb/fes7ndPq/UOn+xqTvsisNm/G9fJ48zu8LO1fn5pktyRPbf2NXdo2+yS5svU9zpm0R9NtU1u/Z1t+bpI/m0+uxmeXeZ/A2CW5N/AnwCFVdUOShwDvmNqsesuHAP+U5GFV9dWWdmJVHZ3kcOAw4F1T+0wcW1XH9/7ttwFvqapNSe68WnmStrNe910O/AGwsX2uqjqkHeu8qpoEVx4JHAocUFWV5N1JnllVn5xxjPVqcr3uB/w+s6/ViZXWaf05saqO7if062/7vD9w0NR2s9p1rT9LyjfJY4DzgWcDH2rJBRzY2qcLgPf00rX+vAg4tapOSPfg6pHAxcBzgS8Av95+T1RV/Q5Ako1sKesDWFrGlreGMl3XZn5O8gjgCLo6+9PWT9t9mX0mptu8/8TS6+Wut/vsd9zY8rvEjP71LwC70rVZ/x04EDirbf7JqnpRkqfQ9TePmnHIo4E3mXYwqQAAIABJREFUt7y+mq4/ogE4Emb+DqG76G8AqKr/DVwJZHrDJHelK7Pj6L6I3rqq/b7XjDRWSLsBeFqSu1fVT6rqJ7ctC9JWlqvXy7kS+FEL1kzr19v/ALyjqiY30LcBk6fQKx1jPZnk557AdfM8Ea26We3uitus0K5r/Zku30PpHnr8TJI79ba5QyvXXYc8Od0mNwBPSrJHVW0G/g34KvCItv4g4NPL7BuW1onllqW1tL11bdJ/+ilAVX2/qi7bxjFmfW+49Xqpqut3/HRvt7Hld9p0//pfq+pK4CHAm+iCMROT/Oy23MGq6gK6/uhfASdX1Y/W5Ky1FYMw87c3cMWM9JPbcLhNvbRfBc6sqguBJ/TSj0hyEfByYDLEblaU98jeMLufA44F7gZclOS/t06jtBqWq9creQfwh6z8lGNv4Lu9z99uads6xnpyRJJzgePZ8vRci+GIXhv7yy1tWx3G5dp1rT/98t0XeFxVfZ7uqeNBve3OBr4B/O0czlE75iTgW8CmJJ8E7tvSL03yBOBG4KZl9p2+zxzR67cdvCZnK21te+vd/Wj9siSvTvKPSV7V1j2jd4wXzzj25J52Ir3rJcl91iA/2zK2/E7bqn+d5HHAxVX1HWCv3qpnJLkQeDcrj0Z/HfAMuodBGohBmPm7Apj1LpbDq2pDVT29l/Ycugbi48BjsuUdLidW1b7A54AHrvBvHduOuaGqvl1V11fVa6vq4cDn6YbtSathuXq9nKqqLwAPZstw0Vm+O3Xcn2PLzWh7jzFvJ1bVAcBjAefeLpYTe23sxS1tWwHB5dp1rT+3li9wDfDoJGcCz6crx4mnA/sDB8zhHLUDquqWqjqmqh4DvBf4I7pr9n/QBdH+YQcOd2Kv3/aJ1T9baaZ+vTuLLpDYH4V3V+DH9PpPVfWXwB+zZQT9J3vHeN+MY2+oqour6qdT18ur1zRns40tv9Nm9a8PBQ5s/YiHJnlyS/9kVT0ZOAF41ArH/Abw7d4ocw3AIMz8nQkcnuRnAdrcvr2nN2ovWtqjqg6qql+jG/Xy3KnN/pwumglbD5Nl+nOWvjTu+1gftHqWq9fbGgL6HuCly6wDOA14VZI7ts9HAadsxzHWk8l5Xg/cY5l1y33W+rY900C3rOja9d230a5r/eiX5aHAS6rqkKo6ENg7yWR9Ju/2SfLwGftqnUjywMmLLIGraf2gFkS9mO5etr1TF7Z3nbSWTgeeApBkV+ABVXU1cCrwyt47IO/U22e7ptXNuF7WQz0fW35n9a/3rar9Wz/iuWyZ2jw537ez9H0wO9RX0drwxbxzVlXfT/em7zNa/+0aZg99fTrwxd7nC4DXAJf0jnVZknu34XIFfCJJAd8EzgNe217eC/AW4MHp/geZ6+nmQR+OtApWqNfvSzIZ3n1sf5f2+zS697wwYx1V9S9JTgXOSbIZ+HhVfWI7jrGevLC9JO0uwJuB1/bW/UWSa+nychSwoQ2RB3hPVTl9aX2blC3Ae6vqA6w8EmYD8KXe50m7/tdrdH66fSblG7pReP3h3V8BnsrS8n4v3csQTwNekOSJLf3NVXXeAOerbXss8KEkNwA3A2+kKzOq6qUArR81iy9V13pTdKNALm/Tnu9A94CWqvpKkg8An05yE91Uu9f19mPG8pJ7Gt13hf718ttrlpPtM7b8zupfX0/ve2P7LvhEuvtTtbQfJvlmkse2zW7ti1fVsya7DpYJAd3Tmnmfw0JJUlW10NHEMeRRW1jei2fsZbro+V/0/G3LGPI/hjyuZNHzv+j501JjKO/pPI4hz2Njme4Yp59IkiRJkiQNwCCMJEmSJEnSAAzCSJIkSZIkDcAgjCRJkiRJ0gAMwkiSJEmSJA3AIIwkSZIkSdIADMJIkiRJkiQNwCCMJEmSJEnSAAzCSJIkSZIkDcAgjCRJkiRJ0gAMwkiSJEmSJA3AIIwkSZIkSdIADMJIkiRJkiQNwCCMJEmSJEnSAAzCSJIkSZIkDcAgjCRJkiRJ0gB2mfcJLKIkNe9zWGPXzvsENKwR1Omx8RrWQhtBm+U1LGmnNoJ2emy8L+0AgzCrrKoy73OQVpN1WtLOxDZLktY322mNndORJEmSJEmSBmAQRpIkSZIkaQBOR1plSa4Bdpv3eayxa6tq93mfxLyMoIwt38Uu3zEadZ2WtHMbyX3JdlrSaBiEWX27Lfo8R1+ktdhlbPkudvmOkXVa0k5u4e9LttOSxsTpSJIkSZIkSQMwCCNJkiRJkjQAgzCSJEmSJEkDMAgjSZIkSZI0AIMwkiRJkiRJAzAII0mSJEmSNACDMJIkSZIkSQMwCCNJkiRJkjQAgzCSJEmSJEkDMAgjSZIkSZI0AIMwkiRJkiRJAzAII0mSJEmSNACDMJIkSZIkSQMwCCNJkiRJkjQAgzCSJEmSJEkDMAgjSZIkSZI0AIMwkiRJkiRJAzAII0mSJEmSNACDMJIkSZIkSQMwCCNJkiRJkjQAgzCSJEmSJEkDMAgjSZIkSZI0AIMwkiRJkiRJAzAII0mSJEmSNACDMJIkSZIkSQMwCCNJkiRJkjQAgzCSJEmSJEkDMAgjSZIkSZI0AIMwkiRJkiRJAzAII0mSJEmSNACDMOtIkgOTbEpyTpKPJPlokgf11p/fWz4iyVd6nw9I8o0kZyc5K8luLX1Tkjv0tntxkt9Jsk+SK5NsbD+/O1Q+1WlldkySn09yZiuHDyfZo60/IclJve3Pb7/PaeW6KckpLe3wJP+Y5NwkfzOfHGlbetfpxiTnJ3n45BpN8oYkG3rb7tMv/53BpE635eOSvLu37g1JLul9PjLJ5W35hCSfbX+LjUl2SXJQkgtbnT59+Nxs29jyKy2yJO9L8vC2/M4kf9qWn57k+72+00lT+y3pZ60nq5WnSd+x9/lTSY7qfT4hyUd7n/86yaY1zJpm6N+T2ucTkrwkyaW9/v4vT5dn2/YHvW1e39I2T/ols/aRdNvtMu8TUCfJvYE/AQ6pqhuSPAR4x9Rm1Vs+BPinJA+rqq+2tBOr6ugkhwOHAe+a2mfaJ6vqRauUBd12xwEvq6qvJXkyXbkf3tb9YpL7VtWVbCnLzcCBVdUv21cB+1VVJbnnYGeu22Jyne4H/D4rX6MrrVuvqnXe92brQP+NSR5cVZcDTwK+1Vt3WFV9ffKhdQIPau3heq7TY8uvtKg+B+wLXArcA7hrS98X+IvedtPt8npup1c9T0l2B64B9geO7a26V5K7VdX1wP1XOobW1KyyPLaqjp8kJPnFGftdUlUbptIuB/4A2Li6pyhpXUbuR+oQui9nNwBU1f8GrgQyvWGSu9KV3XHAof1V7fe9ZqTNstI6DeP+wBVV9TWAqroQ2CvJpGz+BnjF1D5h62v3Z4AnJUlV/XAtT1i326Rs7wlcN88TWUP7A5uAz7Rg08RpwKFJ7kvXvm3urZuu05uBDUl22Qnq9NjyKy2ii4AnJLkT8BO2XKP7AlfN7axun7XI03OADwHfSbJ3L/3jwL9L8kTgn27jsXX7zerbb09/f9Y2VwI/ag+GJa0igzDrx97AFTPST25DA/vDOn8VOLN9YX9CL/2IJBcBLwcmQ0tXehLxjN7Qw2fdnpPXbfYA4LtTad8D9qQru7Ppgit3mdrm063c/rp9/i3gSOCyJC9dw/PV7XdEknOB4+k6sosmwHOBU9pPP1B8EfBE4DeA6Sk3J6c3xQ54Kd2IvkuTHL22p3y7jC2/0qL6EvBY4DHAl4FvJtkH+H/YeUd1rEWeDqYLuJxK1/ZNnEn3QPE36ALQmo8jet8bDm5pR/amv/7cMvs9OrNfUfAO4A/Zea8BaV1yOtL6cQXdqIhph09GSSQ5r6U9B3hAkv8IPDTJZL/JNIfjgQcC/3Mb/6bTkebvW8D9ptL2Aq6m+3JXwAeAI6a22dCfjlRVnwee24I15yT5wGRUldadyXW6J/DeeZ/MGgiwAXhIW75Pb91murbu+cAzgD/urXtBf3pOm8JzeJvqc3qSh1bVZWt98rfB2PIrLaSqurkNQn0yXQB1T7qgwpXzPK/bY7XzlORuwH50AeddgJvopr4D/BuwK/DIqvpqb0SvhnViVR0N0L4PwNbTkWbtN2s6UlXVF5K8BfhXFnf0rjQ4R8KsH2fSdcB/FiDJL9CNjlkiyS7AHlV1UFX9Gt2ol+dObfbnwOsmu7D8MERvkPP3HeB+rbxJ8hTgqqn3vXyALe+ImVhy7U72r6obAYMv69vkuruebo7+rHXLfd4ZPA74SFUd0tqos5I8qrf+/cAZVXULS/O3XJ3eDFw7vX4dGVt+pUX2ZbqRpV8EvkDXx7qIpdfurHZ6PbfVq5mnQ4A3tfbumcA1SfpT4E+kGyGj9SFTv2etW+5zP+09dKM1Ja0SR8KsE1X1/fZG8zNahPoauicM055OdyOduAB4DXDr/8JRVZcluXeS+9CNpPhEkgK+CZzX2/egJJOXbX2sqt6+ahnS9ghwC92N7V1JdqUr999r6wugqm5K9z8j7d/b99OtntxSVc8A/rLXETrFUTDr2gtbsO0uwJuB1/bW/UWSa+nK/ii6d4R8sq17T1Wt9+lLoRv+fk4v7Vy6QPGkPl8MXNzW9YONJye5saX9JnBUC2bcDHy2qi5d21O/TcaWX2nRfQ74lfZA49ttxOLnWDrCrd8uv5ct/SyA/1NV6+1/m7w9eer3HUM31ej1vf0uoBudPWnvPt5b5/SV+ZuUwWvbf9oB8Jb2+9VJnt+WXwU8qved4PNVdWRv/9OAt6352UojkqUP3HV7de9FrfX8ROR2G0MeV7Ja+U/yQuBuVfW3q3Baq8byHXf+b4+dpU57DUs7t0Wv42vVZq1nY8jjcsaQ9zHkUdoRDneW5iDJ8+hGwDhsVwthbHV6bPmVJEnS6nAkzCobQ6R3DHlcyaLnf9Hzty1jz/8iGttT5UXPn7TodXxsbRaMI4/LGUPex5BHaUc4EkaSJEmSJGkABmEkSZIkSZIGYBBGkiRJkiRpAAZhJEmSJEmSBmAQRpIkSZIkaQAGYSRJkiRJkgZgEEaSJEmSJGkABmEkSZIkSZIGYBBGkiRJkiRpAAZhJEmSJEmSBmAQRpIkSZIkaQAGYSRJkiRJkgZgEEaSJEmSJGkABmEkSZIkSZIGsMu8T0CS1pskNe9z0Kq6djphwct4q/xKi8ZrWItkweszWKelJQzCSFJPVWXe56C1ZRlLOzevYS0S67M0Pk5HkiRJkiRJGoBBGEmSJEmSpAE4HUmSNCpJrgF2m/d5aFVdW1W7g+W7oG4tX2nRjKTNWnINjyTPY2M7vQMMwkiSxmY35+AvlqmXWlq+C2YELy3VuC18mzXjGl74PI+N7fSOcTqSJEmSJEnSAAzCSJIkSZIkDcAgjCRJkiRJ0gAMwkiSJEmSJA3AIIwkSZIkSdIADMJIkiRJkiQNwCCMJEmSJEnSAAzCSJIkSZIkDcAgjCRJkiRJ0gAMwkiSJEmSJA3AIIwkSZIkSdIADMJIkiRJkiQNwCCMJEmSJEnSAAzCSJIkSZIkDcAgjCRJkiRJ0gAMwkiSJEmSJA3AIIwkSZIkSdIADMJIkiRJkiQNwCCMJEmSJEnSAAzCSJIkSZIkDcAgjCRJkiRJ0gAMwkiSJEmSJA3AIIwkSZIkSdIADMJIkiRJkiQNwCCMJEmSJEnSAAzCSJIkSZIkDcAgjCRJkiRJ0gAMwkiSJEmSJA3AIIwkSZIkSdIADMJIkiRJkiQNwCDMOpLkgCTfSLIxyWlJ7pzkAUluTnLf3nY/SHJ2ks8k2belvSHJhrb8X5P8UZIXJ7m0HW9jkl/upZ2d5CNJdplXfhdRK8Nj2vJxSd7dW/eGJJf0Ph+Z5PK2fEKSzybZ1MpqlyQHJbkwyblJTp/xb/2gV7av76XP+ne/1I79d73081f/LyCNx5DX+5CS3D3JGe3cLkzysXaukzbnY9u4v2xKcnwvrw/qHfv89vuctt2mJKe0tE1J3tSW90lyknles/we2P7tc5KcmmT3JG9vaecmeWbb7tY63tt38jf4xySvaGnb09+4U5I/a//GFe0a2JjkIUPkeex6dXxTq+OPb+mfSv5/9u483paqvvP+54uIA0pUBERUEqeoQR80gorKcBFR4oAkYAOKpo2dNoNGI5pHDdoSTXdoOwnt0D4OKKImBlAjQQXlAioxgBPpIPI4tTIJBgQFUeD++o9am1Nn33Mu98I5dc7d9Xm/Xryovap27fqdVbWq6ldr1c1ressd16ubt/T3y159npPkWa1svbpfmQg1fby2unzJIsfmf5z67nrXlEnWZe7eYr3vrLRZjzfJNr1zxmR73z/ZxrbM5PyyxQba8JuS3Ld93q3F+aD2+S5Jrkuye2+df9qO8bOTHDVs1OPhDfjqc3xVHZXkSOBgYFvg/cBzgXe3ZS6oqn2T7AT8TVsO6A4c4Jaq+pskLwL+qqre35v/G5OyJK8Hng6cOkhk41FJtgB2ZP1E541JHlJV3wGeBPywN+/Qqvre5EM7KTytqm5I8isL/M4FVbWmX7CB331lVa1Nd6P4qKq6EKjbF56knqGO9yEdAZxUVce12O5WVdcnOXvS5mzE+eUdSZ7M+u3M5PM6YN+qmp6/Z5KtppYdwmhibhfjfw4c0Pa3hwL/CbiyqvZJcnfg00nOX2Sbruz9Tf4FeHsrv63rjf2q6nVt3vuBv6iq7y5XnFrPevt4kvsAVwN7An/VW/bW9inJzsztA1e268+7Av8EnNLK59W9VtRC7c9Cx+a09a4pge8AfwCcsbSbuKRmNt6qug7YB2ByLkryxunF2v831IZ/je4+8n3AgcB5ve/vD3wUeB5wbpJ7As+qqj3a76709cjMsifM6vUN4AHA3sCr6ZIlE2n/vzfzG5//ADy+qv50gWVZoOxeS7KlWsiewFrgi0me2Cv/OHBQup5NV9BdlE9MH4/rgDVJtqyqaxf4jYXqdrHfnazbxlRaekMc70O6AXhSkm2ral1VXd/Kp9uchdqgick5bLHlwsLXIB+hu1kc2phiPoDugc8NAFX1bWAN3UMdWvkHgN9a5PuB7gkq8Ivp8oWWZf3rjQ39HbU8FtrHnwN8DLg0yY69ZRe7P5jU2z2Z/yDX+lw9NnQcbur3rgB+ltXdW21s8cLC234Qi7fha4F92/RvAP/W+95z6ZLyj26fbwF2SPKYtq6Vvh6ZWSZhVp/JgbUn8D3g36vqp8BPk2zT5j06yVnAmcBbet89GHgX8x3Z6273gF7ZN4DdgM8uRxAjF7qM8ontv4N6884DnkCXiZ4ecnBCet3UgZcChwIXLdId8NG9uv29VrbY774tybeAm1ovGElLY6jjfUgfouu1szbJaUm2b+XTTxwXOr9M7Al8i+7v8+G2zNqpZT7X/gaTnhQFnAActnShbLQxxbwjcPlU2V2qqp9QuRS4HwvbLskZwP8GPt8r93pjdZvex3egewr+aeAkunZsYrL/Hjy1ju2SnAlcBPxlr3xDx4WG9cJe27N/Kzsyc8NfF6ufha4pAY4FXsHq7T09tnihu6afxDxpp++6SBtewC/peuY+AfjmZIEkdwLuVVVXAhckeWRL4LwCOCbdsK7nDBHQGDkcafV5YZI9gAvpnhztmuTTwHbAs+iemF1QVXulG6u4B93TN+gOmv+R5LlVdWkrm+6SB12X0+OATwD3Aa5a/rBGJXRPFR/WprfvzVtHd/H7fGA/4LW9eYf1hye0IQyHt27Dn0zy8Kq6uLf8Ql0pF/vdVwH/DHwiyVZV9cs7EqCkWw11vA+mqm4GjgaOTvJ84E+A17H+07eFzi+vSfICYG1Vfb2VHTYZdpLk7N731ywwNOdG4IvM7/257EYW8+XATlNlv0jST8Q8gPUTNRP94Uh/n+SBrdzrjVVsgX381XRJ4hPp7gd+AbyzLd7ff3furebKqto73Tsp9gc+08odjrR6HF9VR8Gtw/5g4WNz2kLXlFVVX03yFuDbwHXLscF30NjiBXhVVZ0B884vNy7ShocuEXMq8L/oHvj8QVtmb+DXk5xK17vtZ8A3q+p04PQk9wZOB/5x+UMaH3vCrD7HV9W+VfXHwDOAJ1fVM4G96LqNwtxF4QfokjaTerwEeBnw90nuNrXsPO0i8B10N+daWo8FTq6qA1rdfTbJLr35HwROaRdE/fqZdzymG6dPVa0DrpmeP/Vd0r2kedHfraqf011s/e5C35d0uwx1vA8myYMy99L2qzawLQu1IX9VVWuq6ugF5k1brE17J3MXiYMYWcyn0iX87gGQ5CF03dVf2T5vDbyIrodEfxtZ4PNPmRtq5PXGKja1j/+Yrtfem1vb9XTg6iS3NUw9AO0G8HG95b2eWJ0y9f+F5i32uV/2Xrqb99VuluNd7BiblH+Cxdtw6Nr986vq/Pad0LUBz25twFOBPdK9qPf+7Ts/o+tFo2VgT5hVKt2Lke4x6bHQXhC4bbqXoVUrW5fkNLrkzKTsvCTvoEvQnAq8OsnhbbVvYX73utPpnojcuapuGiKuEQjwdbqhYhNn0XXzndTR+cBCLzw8IcmNrexguqeruwA3AV+uqoumfmuX1iUc4Ct0DeXnFvvd5qN0T67e3b5/Wiv/VFX9z00LVRq9IY/3Ie0KfCzJDW17Jonb6R4cGzq/TGyoS/fn2hPKm6tqP+b+Zlck+dfbu/G302hirqofp/sXRU5p23I18PvA69pQky2At1TVv0969bRu7NDFfN927rkTcGFV/Wu6f2lnU643VnNX/1k1vY9/n669mvgSvevJRfTnfRh4MV3SeF7dV9Xnp7+oFTGpr+ljE+CVrUcUwMuZuqasqiN73/84cMyyb+0dN8vx1tT/p8vfDfz3RdrwyXtiXtr7ToDH9XvkAtfS9eY9Lt3L4regvWdGSy/r94rVHZGkqmqmnwiMIcYN2VD8rUv61lX17oXmbw7GXr+afUu1j8/C8T4r+nVqGzZ7xl6nY4h/DDEuZgyxT8c4hpjHxjrdNA5HkpZIkkPosswnrfS2SFpeHu+SJEm6PewJs8TGkAUcQ4wbMuvxz3p8kvv47LEnzGwbe52OIf4xxLiYMcRuT5jZZ51uGnvCSJIkSZIkDcAkjCRJkiRJ0gBMwkiSJEmSJA3AJIwkSZIkSdIATMJIkiRJkiQNwCSMJEmSJEnSAEzCSJIkSZIkDcAkjCRJkiRJ0gBMwkiSJEmSJA3AJIwkSZIkSdIATMJIkiRJkiQNwCSMJEmSJEnSAEzCSJIkSZIkDcAkjCRJkiRJ0gBMwkiSJEmSJA1gy5XegFmUpFZ6G5bZNSu9ASttxut49PWr2Tfjx/AYzWu3rN+ZM/rz0gj26dHX8diMYJ8eG4/hTZAq939JkiRJGlqSqqqs9HYspzHEKG0KhyNJkiRJkiQNwOFIukOSXA3ce6W3Q0vqmqq6z0pvxEoZyT59ax2PJN6xGfUxrNk3gnZr1MfwCOoXRl7H0tg5HEl3iN0LZ8/Y63QM8fdjHEO8Y2OdatbN+j4+6/HdljHEP7bz8BhilDaFw5EkSZIkSZIGYBJGkiRJkiRpACZhJEmSJEmSBmASRpIkSZIkaQAmYSRJkiRJkgZgEkaSJEmSJGkAJmEkSZIkSZIGYBJGkiRJkiRpACZhJEmSJEmSBmASRpIkSZIkaQAmYSRJkiRJkgZgEkaSJEmSJGkAJmEkSZIkSZIGYBJGkiRJkiRpACZhJEmSJEmSBmASRpIkSZIkaQAmYSRJkiRJkgZgEkaSJEmSJGkAJmEkSZIkSZIGYBJGkiRJkiRpACZhJEmSJEmSBmASRpIkSZIkaQAmYSRJkiRJkgZgEkaSJEmSJGkAJmEkSZIkSZIGYBJGkiRJkiRpACZhJEmSJEmSBmASRpIkSZIkaQAmYSRJkiRJkgZgEkaSJEmSJGkAJmEkSZIkSZIGYBJGq0aSDyR5RJt+R5I3tel9khyT5C5Jrkuyeyt/a5K1SS5P8s9JzkjyT63sJ5PPKxjSBiXZK8nRbfo9Sd7Vm/fGJBf0Ph+Z5Dtt+rgkX25xnpFkyyRPS3JOkrOSfHL4aMYryZ5JPt/q4/QkT2rlC9Xp19ty/1+vfLKvnpHkqW25NW3/+H5v3rP6+0zv+xe13z89yduTbG28w/AYljYf0+1JOw5fkuQlU2UPatO/neTM9t8pSR6eZOckH+otv6H2657te2vbsf24YSPWxKbUfZIXJflekrTyte1ctTbJ13r1/McrEcvGGFu80uZoy5XeAKnnXGA34CJgG+BurXy3Nm9/4KPA84Bzq+p1AEneD/xFVX13sqIkZ1fVmgG3/faqJFsAO7J+UvTGJA+pqu8ATwJ+2Jt3aFV9b/IhyRuAp1XVDUl+Zdm3WgAk2Rb4L8Czqur6lhB46Abq9JVVtbbdsD+qqi4ELujvq0n6++3xVXVUb95eQE2t88qq2rfNPwL4C+CVSxVj39ji3Ugew9LmY7o9WfBzkkcCLwT2rapbktwXuM8i35mYbr/+EDipqo5rbcTdFvmehrFRdd9cT3eteXIr/1JV7ZNkT7p2+ihWv7HFK21W7Amj1eQ8YPckdwZ+ydz+OUnCPBf4c+DRU9/LYFu4PPYE1gJfTPLEXvnHgYOS3A+4AljXmzd97K4D1iTZsqquXdatVd8BwIeq6nqAqrq+qr7B4nU6qbf+TfaG9t9N2rer6nhg1035ziYaW7wby2NY2jxsbBvzO8CxVXULQFX9uKouvo11TJffADwpybZVtW7SbmrF3Fbd9+cfB7x0gfLN6XpzbPFKmxWTMFpNvk53Q/UY4BvAD5LsDOwMXALcq6quBC5oT6lmQeiePpzY/juoN+884AnAgcD08IQTWlfRE9vnlwKHAhcl8YnFcO4PXA6Q5NAkX0hyDIvX6duSfAu4qfUKAXh0rwv7PafW/8LevMdv5Datu+1FbrexxbsxPIalzcekjVlL17t2Mf227pXphjy/vM3br7eOFy2w7kn7dTyLMqIFAAAgAElEQVRd77e1SU5Lsv0yxKONt7F1D/AT4OJWj4v1fFrtxhavtFlxOJJWjaq6qQ1J3YPu5mU7uifvPwL2Bn49yanAPYGfAd9cmS1dUgHWAA9r0/2LtHV0F4HPB/YDXtubd1h/KEMb7nB46/L8ySQP7z210/K5HNgJoKo+muRLwJuBx7Fwnb4K+GfgE0m2qqpfsv7wnP76Fxqec1uW88nV2OLdGB7D0ubj1jYmyXHA/YBrevPvBvwcuIyurftmVf11kq/QXYcAnFZVR7R19BOm89qv5mjg6CTPpxs2+f8ucTzaeLdV93elq3voEhHHAm8acgOX2NjilTYr9oTRavMN4MXA14CvAi+jS8gcBDy7qg6oqqfSJWo2ZKVvzDbWY4GTW1zPBD6bZJfe/A8Cp1TVzcyPad6xm+ShAFW1ju4k67E9jFOBFyTZpn3eii55+PHF6rSqfk7XY+J3W9GmDs+ZLrv1c5IX0B03y2Vs8W4Mj2Fp8/VJ4MkASe4CPLCqrgJOAv44yVZtuTv3vrPYcI15bVW6l55OHnZeNT1fK26xugduTYxvTXvwMAPGFq+0qtkTRqvNucBTqupG4JIk29ElYY7qPzUGrk3ywKr6IQt3ndwculOGbgjWmb2ys+iGNhRAVZ0PnN/m9WM6IcmNrexg4DXtxu8m4MtVddHybrqge09Aun/F65NJbgFupuupdWZvsXl12nwU+Azwbjb8srwXJHlym34f3bC8w5I8oZW9Bbhvks/T9br4FvN7WyypscW7ETyGpc1X0fUE+E6Ss+gSn/8VoKouTPJh4HNJfgHcCLy+9z0WmJ5uv34KfCzJDXTH9e+i1WKhuv/LBZZ7B3DakBu2TMYWr7TqpWpzuFfVapWkqsqnO7dDe4q/dVW9e6W3pW/sdTqG+PsxjiHe5eIxLK2MWd/HZz2+2zKG+Md2Hh5DjNKmsLuztAKSHEL3Is6TVnpbJG06j2FJkiTdHvaE0R1iZnv2jL1OxxD/2J7AjY11qlk36/v4rMd3W8YQ/9jOw2OIUdoU9oSRJEmSJEkagEkYSZIkSZKkAZiEkSRJkiRJGoBJGEmSJEmSpAGYhJEkSZIkSRqASRhJkiRJkqQBmISRJEmSJEkagEkYSZIkSZKkAZiEkSRJkiRJGoBJGEmSJEmSpAGYhJEkSZIkSRqASRhJkiRJkqQBmISRJEmSJEkagEkYSZIkSZKkAWy50hugzV+SWult0JK6ZqU3QMPyGJ45HsOStBkZwXnY85LUYxJGd0hVZaW3QdLt5zEsSdLK8TwsjY/DkSRJkiRJkgZgEkaSJEmSJGkADkdaYkmuBu690tuhJXVNVd1npTdC0tIYQTs96jZrBPULI6/jsXGflqTZYhJm6d3bsZ2zZQQvS5PGZqbbadus2a5fsI5HyH1akmaIw5EkSZIkSZIGYBJGkiRJkiRpACZhJEmSJEmSBmASRpIkSZIkaQAmYSRJkiRJkgZgEkaSJEmSJGkAJmEkSZIkSZIGYBJGkiRJkiRpACZhJEmSJEmSBmASRpIkSZIkaQAmYSRJkiRJkgZgEkaSJEmSJGkAJmEkSZIkSZIGYBJGkiRJkiRpACZhJEmSJEmSBmASRpIkSZIkaQAmYSRJkiRJkgZgEkaSJEmSJGkAJmEkSZIkSZIGYBJGkiRJkiRpACZhJEmSJEmSBmASRpIkSZIkaQAmYSRJkiRJkgZgEkaSJEmSJGkAJmEkSZIkSZIGYBJGkiRJkiRpACZhJEmSJEmSBmASRpIkSZIkaQAmYSRJkiRJkgZgEkaSJEmSJGkAJmFWqSR7JTm6Tb8nybt6896Y5ILe5yOTfKdNH5fky0nWJjkjyZZJnpbknCRnJfnk8NFsnCQfSPKINv2OJG9q0/skOSbJXZJcl2T3Vv7WFuflSf65xftPrewnk88rGJKkGTdpq5Oc3T6vTfK3vfmnJHl/m/5uklf15v1ra8//MslzWtmOSc4YOg4trH8ubp8vaueWM5K8PcneSf5bm7d7ku/3lv1K+/8X2v8Pb+eqs5L8r4FDGbUF6vG4JA9OckSSs5OcmeQ1bd6Lk7ysTR+c5Mw2vVWSc3rrOH3ynd46v9zW98ZWtnOSK9qya5O83HiNV5JMwqxulWQLYEdg56l5NyZ5SJt+EvDD3rxDq2qfqlpTVTcDbwCeVlV7AUcs+1bffucCu7XpbYAHtend2rz9gY8CzwOoqtdV1T7Ap4HDW7y/1coumHweNAJJggcCJLkHXVs2cRnwxDbvYcD1QAFvAf40yZbAfwFeP+jW6rZUb/rKdm5ZU1V/BHwFeFyb93jg/yS5b5Ltgcunvv9yYI92Ln7tEBuueWpq+h7AbwN7VdXewK8leTpwHl1dQnf9cX2b3hX4GkCS+wBXA3tO/cahVbUnsEeSrVvZaVW1H7AG2GWScB2A8c52vJI2YyZhVr89gbXAF5M8sVf+ceCgJPcDrgDW9eZN1+s6YE2SLavq2mXd2jvmPGD3JHcGfslcHJMkzHOBPwcePfW9DLaFknTbzkvXY++3gH5vvAJ+lGQH4CC6dpyq+hnwEeBvgXtU1T8PvL3aePPON1X1U2ByM7Yr8D5gd7rz1nlT37078KQkWeXn4lmVqekDgWOranLzfgxwCHAh8KhWdn/gzCSPYu5aBOA5wMeAS5Ps2F9vkjvR1fW8a7H2O29tvzsE453teCVtxkzCrG6h6/VxYvvvoN6884An0DX200OMTmjdIk9sn18KHApclOSo5d3kO+TrdBexjwG+Afwgyc50vYAuAe5VVVcCFyR55MptpiRt0Mfp2u5nMj8JA117fSDdjfqXe+XvAZ6OvWBWu+0yNxzpDa3sonZOuivwRbqbuf4N3cSLgSOBi5O8dKgN1q1e2OptLfAM4Cl0vdMmLgF2bDfT1yfZBriFrrfTdJ3uT9cL9yRa79zmI8B3gbNbgm7aZcAOSxfSBhnvbMcraTO25UpvgDYodN0bH9amt+/NW0fX1fn5wH7M79p8WFV9b/Khqr4DHN6GNn0yycOr6uLl3vhNVVU3JQHYgy7JtB1wAPAjYG/g15OcCtwT+BnwzZXZUklaVAEXA79B1079dGreWrohohfM+1LVuiQ/BP7PQNup2+fKqlozVXYesA/ws6r6bpKHAvcC3t5fqKq+AjwvyV3pnr5/uKpuGGSrBXB8VR0F3fs96G6md2LuWuIBzA0h+ypwGHAR3U36gcDDq+qbbRjKE+kejm0J/AJ4Z/veoXTH/QcW2Yader+x3Ix3tuOVtBmzJ8zq9ljg5Ko6oKqeCXw2yS69+R8ETmnvfel3w5xXr+2CkKpaB1wzPX+V+Qbd08Kv0Z0kX0Z3gXsQ8Oz2t3gqXaJmQxyiJGklTNqeE4EPTc+rqluATwHHb+C7Wl2mhzlMOw/4fbpzFnTn2PtW1Y/73+mdi28ETL6svJOBV7ThJQCvoTtuoesR8TLgvDZ07FeZe3fIAcCb2/XI04Grk9yrzUtVXQV8Pcn+kzKA9jt/BnxiGWPaEOOd7XglbUZW88342IVueM6ZvbKz6LpFFkBVnV9Vb2vz+i8kmwxHOiPJtsBr0v51JODyqrpo+Tf/djsXuFNV3VhVl9D1hjkPeFy/dw9wbZIHtumaXskiZZK01ELXpX3S5kza5+Or6tNTy07mva2qzl9gXbZbq9NhSU5Lcjpw38mQhySTJNs36HqsTt4BcwnzezRN6vWvk3wh3b+W9El7wayoAn5Od1N+Zrs++n5VfabNPxfYBZgcpzf0pg9k/rXZl+jeIdI/ft8H/Oc2vV+SzwGnA/9WVacsbSgbxXhnO15Jm5nMva9KS6F7317d4aeZSV4AbF1V716CzdIdsFR1qs3DGOp7DDFuyFLGvxrbaut39uMfQ4wbMuvxT8c36/HC/BjHFq+k8bEnzCqU5BC6l+metNLbIklamG21JEmSNpU9YZaYme3ZY52Oyxjqewwxbsisxz/r8d2WMcQ/hhg3ZNbjtyfMuOKVND72hJEkSZIkSRqASRhJkiRJkqQBmISRJEmSJEkagEkYSZIkSZKkAZiEkSRJkiRJGoBJGEmSJEmSpAGYhJEkSZIkSRqASRhJkiRJkqQBmISRJEmSJEkagEkYSZIkSZKkAZiEkSRJkiRJGoBJGEmSJEmSpAGYhJEkSZIkSRqASRhJkiRJkqQBbLnSGzCLktRKb4OW1DUrvQEa1giOYfdpSZu1GW+nR99Gz3j9gnUsjZpJmCVWVVnpbZB0+3kMS9LqZjs926xfSbPO4UiSJEmSJEkDMAkjSZIkSZI0AIcjLbEkVwP3XuntWGbXVNV9VnojJN1xtlmzzzqWJElaPUzCLL17z/pY1hG8LE0aE9us2WcdS5IkrRIOR5IkSZIkSRqASRhJkiRJkqQBmISRJEmSJEkagEkYSZIkSZKkAZiEkSRJkiRJGoBJGEmSJEmSpAGYhJEkSZIkSRqASRhJkiRJkqQBmISRJEmSJEkagEkYSZIkSZKkAZiEkSRJkiRJGoBJGEmSJEmSpAGYhJEkSZIkSRqASRhJkiRJkqQBmISRJEmSJEkagEkYSZIkSZKkAZiEkSRJkiRJGoBJGEmSJEmSpAGYhJEkSZIkSRqASRhJkiRJkqQBmISRJEmSJEkagEkYSZIkSZKkAZiEkSRJkiRJGoBJGEmSJEmSpAGYhJEkSZIkSRqASRhJkiRJkqQBmISRJEmSJEkagEkYSZIkSZKkAZiEkSRJkiRJGoBJGEmSJEmSpAGYhFlCSfbqTb8nybt6n9+Y5ILe5yOTfKdNH5fky0nWJjkjyZZJnpbknCRnJfnkAr+1LsmaNv2iJP8xyc5JrmjrOCPJ7yV5U5Jn9H7zA23615Kc3JZbm+Qnbfp9bf5r22+fleSIVrZzklumYlqzxH9GSZu5JHslObq1M6e2tuUfkmzb5h+X5MG95b/Q/r82yZvb9M5JPrQyEWwa453teGGcMWt2JPlAkke06XckeVOb3ifJMUnukuS6JLu38t9P8vI2fdd2PfqIJLckeUgrf2OSNe3Y+H7v2vNZKxSmJG02tlzpDZhFSbYAdmT9JNeNSR5SVd8BngT8sDfv0Kr6Xm8dbwCeVlU3JPmVBX7mO8AfAGdMlZ9WVUf01vNbwG7AZ4Df6G3TbsA/V9Uxbbmzq2qS1HkG8KtVtVeSOwEnJzkX+DlwEfCojf1bSBq19wD/qaq+m2QP4Fjg8AWWq970nkm2WqB8c2C8sx0vjDNmbf7OpbvuuwjYBrhbK9+tzdsf+CjwvPb5PcAZSY6nu9Z8O3PXgK8AXj61/uOr6qhljkGSZoY9YZbHnsBa4ItJntgr/zhwUJL7AVcA63rzputiHbAmyZZVde0Cv3EF8LMkD5sqz9TnyYkXuqTbtUnuwdyJd6HvHQL8d4CqugX4W+DgNu+rAIskhiRpYifg8qr6LkBVnQPs0JLUsH5bNfER4IhF5q1mxjvb8cI4Y9ZsOA/YPcmdgV8y/4HcucBzgT8HHg1QVeuAvwT+Bti7qj7Slv8q8NAFrgEX2/clSQswCbM8ngec2P47qFd+HvAE4EBgeojRCa3b8ont80uBQ4GLkiz2dOFYuicS/Sdr+/W7hFbVVcD2rcv0lcDXgN8EHgec3/tefx07Apf1Pl8C3G/qt1+KT/QkLe6BzG9HAH4EbNumT2jt1Nre/AJOAA4bYPuWmvHOdrwwzpg1G74O7Ao8BvgG8IMkOwM7013j3auqrgQuSPJIgKr6bJv/X6fW9V7WvwZ8Ye/a8/HLG4okbf4cjrQ81gAPo3sysH2vfB1wOfB8YD/gtb15h/WHI7UhS4e3J2yfTPLwqrq4t3xV1VeTvAX4NnBdK583HKn5AV1PlvOAf6Prdnr3qrp+ke2/DLg/3ZAngAe07Ya5k+6zgbMW+b4k/ZCuHenbAfhxmz580qMgydm9ZW4Evgg8fdm3cGkZ72zHC+OMWTOgqm5KArAH3bXgdsABdEnEvYFfT3IqcE/gZ8A321e/B3y/vyq6Xt1nMv8a0OFIkrQJ7AmzPE6uqgOq6pnAZ5Ps0pv3QeCUqrqZ+d0359VFkofCrV1Cr5me3/vu5InEdHnfucDL6E68F9IlZL45tUz/eycBR7bt2BL4E+DkqeX/EfjtBX5LkgAuBe4/acuSPBm4sqo21INu0g69k+49BJsT453teGGcMWt2fAN4MV2P6K8yd114EPDsdt36VLpEzcR615Rtf5++BnQ4kiRtAnvCLK3JSejMXtlZdMOTCqCqzmduGFD/wu2EJDe2soOB17TkzU3Al6vqoqnfmnz348AxvfKnJZm8rPefquptdEmY11XVt6H7l5WY/z6YedtSVacm+X96T/LeV1UXtq6rE+8F3rjA30CSAtxMlyB+Z5K7AFcDv9/mL3bTOmknr0jyr8u+lUvHeGc7XhhnzJot5wJPqaobgUuSbEeXhDmq3xOb7t2BD6yqH7L4fj19DfiClpSE7prxw0u98ZI0S7LhBzjaFEleAHyoqmb6iUCSmvUYpbFYjuO5tYVbV9W7l3K9t9d0jEsds/GuvH6MY9ynNdvGUN9jiFGSJhyOtESSHML8YUGSNDq9tvCkld6WIRjv7BtjzJIkafnYE2aJjSGTP4YYpbEYw/G83D1DVpuxxQvL3xNmtRlDjJozhvoeQ4ySNGFPGEmSJEmSpAGYhJEkSZIkSRqASRhJkiRJkqQBmISRJEmSJEkagEkYSZIkSZKkAZiEkSRJkiRJGoBJGEmSJEmSpAGYhJEkSZIkSRqASRhJkiRJkqQBmISRJEmSJEkagEkYSZIkSZKkAZiEkSRJkiRJGoBJGEmSJEmSpAGYhJEkSZIkSRrAliu9AZIkDS1JrfQ2LKNrVnoDVtqM1y9Yx6PjPi1Js8MkjCRpVKoqK70NWj7Wr2aN+7QkzRaHI0mSJEmSJA3AJIwkSZIkSdIAHI4kaYOSXA3ce6W3Y5ldU1X3gfHFK2nzNpI2a2zmtdEjqeOxnYfHZtTXHSPZp0ddx5sqVbP+nq9hJalZH7s7hhg1Zwz13Y/ReGfPGGLckDHEP4YYFzPm2GfVdJ2OoY7Hdl4am7HX6RjiH0OMS8nhSJIkSZIkSQMwCSNJkiRJkjQAkzCSJEmSJEkDMAkjSZIkSZI0AJMwkiRJkiRJAzAJI0mSJEmSNACTMJIkSZIkSQMwCSNJkiRJkjQAkzCSJEmSJEkDMAkjSZIkSZI0AJMwkiRJkiRJAzAJI0mSJEmSNACTMJIkSZIkSQMwCSNJkiRJkjQAkzCSJEmSJEkDMAkjSZIkSZI0AJMwkiRJkiRJAzAJI0mSJEmSNACTMJIkSZIkSQMwCSNJkiRJkjQAkzCSJEmSJEkDMAkjSZIkSZI0AJMwkiRJkiRJAzAJI0mSJEmSNACTMJIkSZIkSQMwCSNJkiRJkjQAkzCSJEmSJEkDMAkjSZIkSZI0AJMwkiRJkiRJAzAJI0mSJEmSNACTMCssyV5Jju59Pi7Jg5MckeTsJGcmeU2b9+IkL2vTByc5s01vleSc3jpOn3ynt84vt/W9sZXtnOSKtuzaJC8fKGTNqLYvfz/JGe2/Z7fPp7fPz2/LvSnJM9r0kUk+0KZ/LcmJvfVdnOSQ3ue17b8vJfm9qd+c/MZ/aOV3SvLhdvyck+S3jHc2Y9dw+vXU6ueMJKcl+WCS7XvLPTXJT5Js2T7vnGRdkse1z9snuSnJnknumeSUtr5zJstoZbXj7eh2rJ7a6vofkmzb5h+X5MG95b/Q/r82yZvb9M5JPrQyEWxYkg8keUSbfkeSN7XpfZIck+QuSa5Lsnsr//2066Qkd2376iOS3JLkIa38jUnWLNA+PmuFwryV8c58vLfeSyQ5KMmJG9j2yXIPTHJyO2bPTvIfW/naJFu06Z2TfCjJW1r55enuJ85I8rCVinfWtHq5Lsk27fNxSV6S5CXt82PTXfuc2drjB0/qtLeOSRu8RZK3tfo6K8nTe79x9NTv/mnb189OclQru1uS97fvfz5z5+0XJflekrTPt+4nun38460ONTV9D+C3gb2qam/g19pBdB7w+LbcbsD1bXpX4GsASe4DXA3sOfUbh1bVnsAeSbZuZadV1X7AGmCXJM9Z0qg0RsdX1ZqqWgNc1z7vBxwAHJ5kV7r9eLe2/G8w1w7tBvwLQJLHAF8Ant1bdwFrqurJwO9O/ebkNw5rv/EM4NtVtXdV7dHWtRzGFm/fSsc++Q0NYIF6KmDfqno68AHgXb3Fnwf8PbBvr+z8Vg5wIPDVNn0EcFJV7QM8BfjWcmy/brf3AH/UjvO/Bo5dZLn+dcyeSbZaoHw1OZe5tmkb4EFterc2b3/go8zts+8BDkpyL+BVwNuBnwMXAa9YYP23to9VdcryhLBJjLczq/ECVJI9gD8AXs/i2z45Jt8LvLaq9mn3BxdNzb91+ap6fWujPw0c1uL+/5c+hFH7AfB7vc9FV6d3Bv4n3d99b+DFwJYLfH9Sb/8JuLLV1zOB17d7w/4yJLkn8Kyq2qPV/9+2WW8EPtu+/x+AY9MeqNDddz5vel26fUzCrA6Zmj4QOLaqJjv4McAhwIXAo1rZ/YEzkzyKuZMKwHOAjwGXJtmxv94kdwLuzlS9t995a/td6Y7IQoVVdSPwP+hu4M4Fdm+ztgSuTXIP5u/HBwHvBO7eTkCTdW+R5G7AXRb5jbfRHQPXA49Lcv8277o7HtqCxhZv32qJXcPo19NWdHUUgKpaC2wzeUIGPAx4M3MXa9AlVx7ZpvcFPtembwCelGTbqlpXVdej1WIn4PKq+i5AVZ0D7NB7+rlgGwB8hC65tpqdB+ze2pxfMj9BfC7wXODPgUcDVNU64C+BvwH2rqqPtOW/Cjw0ya9MrX+xv81KMd7OrMYL8Ai6+4XfAW5k8W0nyQOBH/UTKe34vnWRqf9Pl2vp/SPw7AV6lzwJOKOqrgKoqiur6uI2b6H6OIhuP6aqbqB7SLJQ7+hb6Nrzx7Rlr23lT66qv29lVwGfb9sAcBzw0g38tjaBSZjV4YWta99auifaTwEu682/BNixJUuub93VbgG+QndC6d/Q7E+XqT6J+RfAHwG+C5xdVT9dYBsuA3ZYupA0UpN9+QzmnkJNXAbcrzXq26Xr1n4lXS+u3wQeR/e0HOCxVfUV4LPA03rr+DzwfeDdi/z+5cAOVXVm++4nWtfZ5eo2O7Z4+1Y6dtusYU3X0/RTsKuA+yZ5LHB+VV3K+vVzUbru/zcCv2hlxwM/BNamG9q0PVotHsj8axGAHwHbtukTetcuEwWcABw2wPbdEV+n60X8GOAbwA+S7AzsTHfNda+quhK4IMkjAarqs23+f51a13vpbkz6x8St7WOSx7PyjHe24wV4Ol0Php/0yhbaduge5F4OkOSRbWjJGW1egM+1zx9d5m3WnFuAT9ElUfp2pNXVAt7Wa4Pv18ruWlW/6C1zaW/erVqC5hXAMUku6o2GmN5XJt8v4CfAxW2ftyfMHWQSZnWYdGvcB/gMXZfvnXrzH8DcAfhVuoubi+iSML8JPLyqvtmGGT0ROBF4NV03tIlD6YYyLdZ9fycWP8iljdUfonLe1Lz+PvYD4OC2zPl0vSXuXlXXpxvD/OgkpwLPZ35vh33ohtrttcjv3/obVfX2qtqd7iTz5jsc2cLGFm/fqoldy+s26mlie+DHdBeQ+yb5NPDw1j0eugu2T9Al1T7FXC+aW6rq6Kp6DPA+4JXLGow2xQ/pbtb6dqCrZ4DDe9cufTcCX6S7KVyVquqmNrkHc23TAXRJpr2BX2/7+1OZ/0Dre3TJ4VtXBXycrudff4hAf7jK+aww453teJt3AU9Osn/7vNi2Q3fu3Amgqr65wDE8Obf77rXhFAsnzS5j/j1h36t6bfAVrezGJP0exP17yPk/WHV6Ve1P19PlqFY83cNl8v207TqWhYe5aROZhFmdTgZe0YYPAbyGLrECXY+XlwHnta5jv8rcu2EOAN5cVQe0cfpXt/GtAGlPpb/ea6AnL1e6E/BndBfI0h2xYNfVJHcF/oSuuyX09mO6YXYHA99s8w4CXtL2432BHXvDHFJV32rrfMRiv5FkxzaUBbobhuXqNjm2ePtWRexLHZQWtF490V0/TOpjL+Dq1lvz8VW1Z1U9k+7m5taneu1m5Xzg1ElZkgf1xptfxTD7rjbOpcD9kzwUIMmT6d41sKEnoJP6eyfduylWs2/QvV/ha3QPuCbt1EHAs9v+/lS6G/mJ9fbP9vf4R7p3+S263CpgvLMd7010SfKjgbvSnUMX2naq6gd0Q1EmLy8OcKfeItOvSdAA2lDybwFP6BV/GdgryQ5w64vtH77A1yf19Anaw4z2cP5FdCMk+stMXkA9SbL/jG7YHsA5mftHH7ane2/ol3vb+B1gaxZPDGkjmYRZfYruZWAn0r3z5Szg+1X1mTb/XGAX5rry39CbPhA4s7euL9E9sexfML0P+M9ter8knwNOB/6tVs/LxbT5ekFviMoD2ufT6W66PlpVF7TlzgUeWFXfrqqbgXW0F7XSJRP7Y5MvpHtatdh+vNBv7EzXnXYt3ZOFv1jqQHu/PaZ4+1ZL7Fp+i9XT6a0+XgL8YbswvHKyUBu3/gR69VlVL23doCdluwJfbPvRa1n8xa8aVoCb6Z7Kvr21La8CJv+S4mKJmAKoqiuAf13ujbyDzgXuVFU3VtUlwHZ0N+mPq6rv9Za7tr1DAxaP+710w7cmbm0fkxy+5Ft++xjvbMdLG4p0BF1PtMlD2Oltn/g94L+1tvd04O8mq5le7SLTWh7HAr8++dB6df0x3fDPM4EP0iVMFqund9Ml2M6kS768tar+vc07rA37PY2up+Lx6f5VpbW098gA/wV4Rvv+3wEvb9dufe8AHnoH4xy9bPiBhjZVkqqqmc4ajyFGzRlDffdjNN7ZM4YYN2QM8Y8hxsUsR+xJXgBsXVWLvZNJy2i6Tsewf4/tvDQ2Y6/TMcQ/hhiXkhUAgIAAACAASURBVD1hJEmSBECSQ+h6wJy00tsiSdIssifMEhtDFnAMMWrOGOp7bE/gxhzvGI0h/jHEuJgxxz6r7Akz+/GOzdjrdAzxjyHGpWRPGEmSJEmSpAGYhJEkSZIkSRqASRhJkiRJkqQBmISRJEmSJEkagEkYSZIkSZKkAZiEkSRJkiRJGoBJGEmSJEmSpAGYhJEkSZIkSRqASRhJkiRJkqQBmISRJEmSJEkagEkYSZIkSZKkAZiEkSRJkiRJGoBJGEmSJEmSpAGYhJEkSZIkSRqASRhJkiRJkqQBbLnSGzCLktRKb8Myu2alN0DS0rHNmn3W8WwbQf2Ozaj3Z3CfnkGj36elPpMwS6yqstLbIEkbyzZr9lnHs8361axxn5Y06xyOJEmSJEmSNAB7wiyxJFcD917p7Vhm11TVfWA08Y7NrfUrafM3knba89Js87wkSZoZJmGW3r1nvRvl1DjdmY93bByHLc2cmW+nPS/NNs9LkqRZ4nAkSZIkSZKkAZiEkSRJkiRJGoBJGEmSJEmSpAGYhJEkSZIkSRqASRhJkiRJkqQBmISRJEmSJEkagEkYSZIkSZKkAZiEkSRJkiRJGoBJGEmSJEmSpAGYhJEkSZIkSRqASRhJkiRJkqQBmISRJEmSJEkagEkYSZIkSZKkAZiEkSRJkiRJGoBJGEmSJEmSpAGYhJEkSZIkSRqASRhJkiRJkqQBmISRJEmSJEkagEkYSZIkSZKkAZiEkSRJkiRJGoBJGEmSJEmSpAGYhJEkSZIkSRqASRhJkiRJkqQBmISRJEmSJEkagEkYSZIkSZKkAZiEkSRJkiRJGoBJGEmSJEmSpAGYhJEkSZIkSRqASRhJkiRJkqQBmISRJEmSJEkagEkYSZIkSZKkAZiEWWFJ9kpydO/zcUkenOSIJGcnOTPJa9q8Fyd5WZs+OMmZbXqrJOf01nH65Du9dX65re+NrWznJFe0ZdcmeflAIY8y5g2Z/D2S/FqSU5OckeQfkmzb5h+X5MG95b/Q/r82yZvb9M5JPrQyEWyaWYt3ueJJ8qIkF7X1fT7Jdq18UrY2ydv765SWU5KLkxzSpte2/fC0JB9Msn1vuacm+UmSLdvnnZOsS/K49nn7JDcl2TPJPZOc0tZ3zmSZ1WBzjXc529gscJ7ur6P3+0dtzLqTbJvko23+2Umeke4cfb82/9lJ/mqp/0Zj1Orl+21/+EKSR7S/+5lJvpTk96aWv3X/b58nx8Dpk2MgyaOS/ENvmY8l2WXIuKSxSu9+Ksl7krxrav4rk5zV2ta/bmWTNnm7dg566PBbLjAJs1rU1PQ9gN8G9qqqvYFfS/J04Dzg8W253YDr2/SuwNcAktwHuBrYc+o3Dq2qPYE9kmzdyk6rqv2ANcAuSZ6zpFFt2Bhjvi3vAf6oqtYAfw0cu8hy/b/dnkm2WqB8czBr8S5HPH/V1vde4LBWdmVVramqfarqjzbwXWnJJHkM8AXg2a2ogH2r6unAB4D+xd/zgL8H9u2Vnd/KAQ4EvtqmjwBOqqp9gKcA31qO7d9UMxLvkrZJSR7F+ufpZyy07Cas+38Cb29/jzXANcAbgL9IcifgSOAvFg9Rm+j4tj8cCfxnunrYp6qeDPzuZKEF9n+YOwb2ox0DVXUhcFVLRO4BXFNV/3uYUCQBlWQLYEdg50lha5sfXlV7tXuhk3vL343unPUnVfXtwbdYgEmY1SJT0wcCx1bV5CLlGOAQ4ELgUa3s/sCZ7aJoN+DcVv4c4GPApUl27K+3XdDcnal6b7/z1va7QxljzBuyE3B5VX0XoKrOAXZoDSvM/3v1fYTuon5zM2vxLlc8k+9tA1x3G+uSltNBwDuBu7cb6bT/qKq1wDZJJvvmw4A3M5eEgC7Z8Mg2vS/wuTZ9A/CkJNtW1bqqup7VYXOPdznapN9h/fP0wbexvkXX3bblflX1pbaNN1fVv1TVvwB3A/4W+Luqum7Bten2mNTTrwDXtukt2k3ZXXrL9ff/O09/f+oYeCPwJuAo4M+Xb9MlLWJPYC3wxSRPbGWH0LXRAFTVpLfilsCHgb+uqnPRijEJszq8sHXxXAs8g+7p2GW9+ZcAO7YLn+uTbAPcAnyFLhnRT0jsD3waOIn5F4QfAb4LnF1VP11gGy4Ddli6kG7TGGPekAcyP36AHwHbtukTen+viQJOYK6HxOZk1uJdrniObF1H/wz4p1a2XVvXGUne0MpMzGi5PbaqvgJ8Fnga6/d8uAq4b5LHAudX1aWs375elGR34EbgF63seOCHwNp0Q322Z3XY3ONdjjZpRxY4T2/k9iy07u3o/o4LeR3wTOB/beT6tXFemOQs4P3AP9CdOz4PfB94d2+56f0f1j/PXAXct6quAs4Gzq2qK5dx2yWtL3T3Pie2/w5q5TsCly+w/L2AB9Md21pBJmFWh+MnwwuAz9B1Ad2pN/8BzB1IX6W7iLmILiHxm3Tdzb7Zhtw8ke4gfDXdBczEoXTDenZdZBt2YuGDdbmMMeYN+SFdT5++HYAft+nDe3+vvhuBLwJPX+btW2qzFu9yxfNXVfVU4Fl0PbdgbjjSmqqadNN3OJKWTZKHAI9OcirwfLreh9O2p9vfDwL2TfJp4OFtiAJ0++gn6G70PsXcE/VbquroqnoM8D7glcsazEaYkXiXo026jPXP05Ob7n4bdFfg5wt8f3rdV9H9HddTVf8HuLSq1i00X7fb8VW1F9110Vtpw5HonqTvBRu9/8PcMQBdEuf7y7bVkhYTuqGc76LrPTgZFnsZ658DAP69Lfe+QbZOizIJszqdDLyiDaUBeA1dkgG63h8vA86rqmuBX2XuPSkHAG+uqgPauPWrk9yrzUt7WvH1JPtPygDa7/wZ3QXjShljzH2XAvefvCAryZPpbrY3dHM9eSr1TuAPlnn7ltqsxbtc8UyWuQ6491TZQstJy+Eg4CWtnd2X7gnbFsy1p3sBV7f9/fFVtWdVPZPu6dzkqRxVdT7du1JOnZQleVDaC23pbspXw748C/EuR5v0ceDlU+fpj7Xpm5P8Spt+CjD9XpD11t0SLJcleUrbxi2TPGGB72jpTP6m19MNc4XuWulbAEkewQL7f2/o3ULHgKSV81jg5Ha8PhP4bLqXY/8D3bufgO4F8pPpqjoOuDLJnw2+tbrVlre9iAZWdE+QTqR7/8k64NNV9Zk2/1xgF7oLO+jGl/9bmz6Q7oV2E1+ie4LRP0m+D3gb8CfAfkk+R3dx+YmqOmXpw9koY4y5L8DNwEuBdya5C92Lhn+/zd/gCw+r6ook/7rsW7l0Zi3e5Yzn1UkOA7Zi7on5fZOc0X73kqp6YSs7rc0/r6pef4cikuY7gPkvdb2Q7gb89CS30PUo/MMkD2euZwRVdXG7qT62V/ZSgCST42JX4GNJbgBuovdy0BW0uce7LG1SVf3vJCfRDaW6H905dJJgegPwqSQ3AxdX1ac3ct0vB96e7l/4uBPzX8LrDf7Se0FLyN2V7m/96t6899I98HoM6+//T6Wrj9NbHV8B/OEgWyxpMQG+DpzZKzsLeF5VHZ3kkW34YehGEnyBuXb1SOCTSZ5dVZ8acJvVxCT20kpSVTXTT2/6MY4h3uWW5AXA1lX17ttceADTdbrUdbza4oU7tk+vxnhui8ftuIyhvj0vzRmiTUqyK/A3wP5V9YvbWn4Jfm/sdTrz8Y8hRo3Xcuzfq+3602N409gTRlpBSQ6he1r52yu9LUOYtXhnLR5Jm7eh2qSq+jqw93L+hiRpYV5/bv7sCbPExpAF9InjbFvunjCr0dj26THEqDljqO+xHcNjM/Y6HUP8Y4hR4zWG/XsMMS4lX8wrSZIkSZI0AJMwkiRJkiRJAzAJI0mSJEmSNACTMJIkSZIkSQMwCSNJkiRJkjQAkzCSJEmSJEkDMAkjSZIkSZI0AJMwkiRJkiRJAzAJI0mSJEmSNACTMJIkSZIkSQMwCSNJkiRJkjSA/8vevYdbUtV3/n9/SAtRvHCN4A3j3XiJccQLDgINoqKokOhEEZ1oTGKS0WjEzM9LmKjRDGpUNEZHhQneouItURQM3SCCFzAxZFRiUEgiQiCCYkRA09/fH7U2Xb17n+4+9Dl1Tu96v57nPKf22lV11tpr1aq1v7WqjkEYSZIkSZKkARiEkSRJkiRJGoBBGEmSJEmSpAGsWekMaMeXpFY6D1pS10wnjKCONynz2MorzZsRHMNjM/o+awRtevR1rPnmMaw+gzDaLlWVlc6DltfY6nhs5ZXmjcew5o1tWtqxeQxrmrcjSZIkSZIkDcAgjCRJkiRJ0gC8HUmSepJcDey+0vnQkrqmqvZY6UxIy8E+ay6Nus8aSZsedR2PjW1a01I1788IGlaSmvf7/sZQRo2X7Xv+jL1Ox1D+MZRxIWMu+7wae52OofxjKKM2GkN9j6GMS8nbkSRJkiRJkgZgEEaSJEmSJGkABmEkSZIkSZIGYBBGkiRJkiRpAAZhJEmSJEmSBmAQRpIkSZIkaQAGYSRJkiRJkgZgEEaSJEmSJGkABmEkSZIkSZIGYBBGkiRJkiRpAAZhJEmSJEmSBmAQRpIkSZIkaQAGYSRJkiRJkgZgEEaSJEmSJGkABmEkSZIkSZIGYBBGkiRJkiRpAAZhJEmSJEmSBmAQRpIkSZIkaQAGYSRJkiRJkgZgEEaSJEmSJGkABmEkSZIkSZIGYBBGkiRJkiRpAAZhJEmSJEmSBmAQRpIkSZIkaQAGYSRJkiRJkgZgEEaSJEmSJGkABmEkSZIkSZIGYBBGkiRJkiRpAAZhJEmSJEmSBmAQRpIkSZIkaQAGYXYgSW6bZH37+X6SdUlOSrI2yUFJfpJkr7bu/kk2JLnLSudbGrt2fL4qyc8nOa0dux9Osmd7/+Qkd+utf077vT7JK9vyfknes8T5ekySz7X8vD5J+n+/t97xSQ5NcnaS2/bS35jkUS2fO7W0O7e+aJ8Zf+/4/r575Tw5yRfbftYl2bn3XpJcm+Su7fVfJPkfbd1Lkny1bXPgQp9v2+49039XSyPJN5M8tS2vT/Lm3nt/3er3N5I8v6X9bJLzkuyyUnnWlq3WPmupTcrZe31Okqe0cnwjyUWt7F9raZe3vmpdkntNl683Rluf5NThSzReWxoHJ3lWO9edleQlvW02JFnblp+V5Nmt3V6R5My2/t3a+zsleUOr27OTHN77u5e2NrEuyRNWovwal7H00fPMIMwOpKqurapDquoQ4MKqWgv8c2+VvwOe1JafDJw/dB4lbdE7gd9tx+4bgRMXWK96y49KsvOM9O3STtQvBQ5v+bkKeO4W/k4Bfw0c2Us7ADhnav2jgJPY2BdN2z3Jg2f8nae1/m1tVd3Y8rgGuC9d3/aQtt59gbe2fvBk4EVtm3PY8ud7v15gaMk+x7FL8kC6NtBvF3du790auB3d5/1O4OgkuwEvoqvDGwbOrhZv1fRZy6ifx6qqD7f+5bXACa1/uV9L+zTw9PZ53MDm5StgbevLfmWQ3Ktv1jj41sDRwEFVdTDw85MACvAt4Ldn7OeMqjoUeBnwvJb2G8CVrR08DnhZkj3ae6e0drK2qj651IWStmAMffRcMggzX9YDh7bl+wFfW8G8SNrUHYHLq+rbAFV1HnD7tBkkQBbY7v3AM5chP4+nGzhe316/iS6AsqW8fIw2wE3yS8DfV1VNrX8w8GLg8M227rwFeMGM9Onz0d8DDwL2B94B7J/kNsAP29/cJJ/pZv3N+nwn67wd+N2tlE+LdzTwNuBWvUHd+UkeStfGPgXdN1u6L7VvAg6uqvevRGa1KKutzxrarPJtS9/h2HrlzBoH/wpwYu+88TrgqW35CuA/ktxzaj+Tet6djV9Sj6brv6iq64D/S9fH9deXhjT2PnqH5olivtwIXJ/kYcA3VjozkjZxZ+C7U2n/BkxumXlvm066vvd+Ae8Fnr4M+dm3n582K2HnhVeHqvoWcIf2ZfsouqDMTdo08O9V1Q+BH6Z361LPxcCuSfadSn/v1BT+8+kCMA8GPgncAfgvwAXbUp7m34C92/KZwCOS/OyWyqhF+6Wq+gpwOnAYXZv9GF37eBwtCANQVacD+wF/sgL51OKttj5rRxDgb9rn8taVzswI9cfBX6erj4ezaTv+Dt35YuJEugsD/RkBj05yHvDnbJxZsMvU7L3LgMnsymN7tyM9BGkY9tE7MIMw86WA0+iu+H4EI/PSavKvdIGEvtsD/96Wj2lTmQ+ZWud64PMsPLPk5rqc7ioKAO35HD/Zhu0+Czya7mrj37S0yeD1ScCDknwauD8w6974ops58btT6U+fmsI/CcLsXlXXAhuAh7LwbZablKe5Pd1tVpO/+z7gWJx+uySS3B14QJLTgP8GPLG99U26q9A7Az+c2uwS4NKh8qjtstr6rB3B5HaktVU13cdp+fXHwR9taV9g03PDnejOF9BN0vtb4O7AHr11zqiqA+hueb1/S7shmz7Hqr+f/u1IC10okJaaffQOzCDMjmuhAMtpwAWeBKRV5zK6WST3AEjySLr7y7cUEJgc529j9n3r2+PTdFfvbtlevxD4+DZs9zG6243+par6QZvQTc1+ZFU9DjiIjV/KN1FV6+ieJ3PLXvL0+egbwAPormwC/BPwDODLC+zzX4B9t/L5vg84ZmsF1DY7GnhOVR3Rnp+wLxvr8VRg8sC//vnKiwM7jtXWZy2X7Wmf0+sHx9YrbXoc/FHgBUl+pr1+CV3/BBvr711sfCZaP/0NbX3ozo8vBEiyK/AsuvNof31pSGPpo+fSmpXOgG62mvrdvejuU93SwzUlDS/AT+mOzbe1q2lXA7/Z3l/oWC2AqroiyT8sZYaq6qokrwVOT/KfdA80PKG9vWeSM9ry+XQPoJxsd2GSO9KdwPtuBdx68lDdqvpRkj2T9Kdw98v5XuD4/usk17d1nlJV30tyLfD/2vtfoXv43L/0izGVh4U+30neb2j/IeCghT4XLcoRbPoQwK/TvrBU1SnQ/fcFph58OljutD1WXZ+1jJ7ebl8JW2+f0++v7fWV727v/017FNVPq+rRS5pTbdWMcfAP6YIuZyXZAHy6qj7Tex+6iwuv6++m7esHSf4lyYPonk32+iRn0QXa/ridpwCe0b4AA7y7qt63PKWTbjKmPnouZcvBMi1WkqqquY6Ij6GMGq/laN9JngHsWlXvWMr9atuMvc8aQ/nHUMaF2GfNnzG3ZxhH+cdQRm201PW9Gvto2/TiOGVSkpZRkqfSXan4yErnRZK2xj5LklYv++j54EyYJTaGKOAYyqjxsn3Pn7HX6RjKP4YyLmTMZZ9XY6/TMZR/DGXURmOo7zGUcSk5E0aSJEmSJGkABmEkSZIkSZIGYBBGkiRJkiRpAAZhJEmSJEmSBmAQRpIkSZIkaQAGYSRJkiRJkgZgEEaSJEmSJGkABmEkSZIkSZIGYBBGkiRJkiRpAAZhJEmSJEmSBmAQRpIkSZIkaQAGYSRJkiRJkgZgEEaSJEmSJGkABmEkSZIkSZIGsGalMzCPktRK52GZXbPSGZCW0wiO4bEZfZ81gjY96joeQf2OzajbsyTNO4MwS6yqstJ5kHTzeQxr3tim55v1K0nSjsXbkSRJkiRJkgZgEEaSJEmSJGkA3o60xJJcDey+0vnQkrqmqvZY6UyslJG06VHX8diMpE2PzWiP4ZG059HWL1jH824k9Ts2o23P2jap8lluSylJeX/2fBl7nY6h/GMoozayvufPmOt0DGUfQxm3ZAzl75fR8mpHN12nY6jjMZRxKXk7kiRJkiRJ0gAMwkiSJEmSJA3AIIwkSZIkSdIADMJIkiRJkiQNwCCMJEmSJEnSAAzCSJIkSZIkDcAgjCRJkiRJ0gAMwkiSJEmSJA3AIIwkSZIkSdIADMJIkiRJkiQNwCCMJEmSJEnSAAzCSJIkSZIkDcAgjCRJkiRJ0gAMwkiSJEmSJA3AIIwkSZIkSdIADMJIkiRJkiQNwCCMJEmSJEnSAAzCSJIkSZIkDcAgjCRJkiRJ0gAMwkiSJEmSJA3AIIwkSZIkSdIADMJIkiRJkiQNwCCMJEmSJEnSAAzCSJIkSZIkDcAgjCRJkiRJ0gAMwkiSJEmSJA3AIIwkSZIkSdIADMJIkiRJkiQNwCCMJEmSJEnSAAzCSJIkSZIkDcAgzA4kyW2TrG8/30+yLslJSdYmOSjJT5Ls1dbdP8mGJHdZ6XwvRpJvJnlqW16fZKfee89K8uyp9Sefw7okL29pG5KsXWgbLb8ttcdWJ59LclaSl/S22azekuyX5IokZ7b179be3ynJG1obOTvJ4b2/e2mvTTxhJcqvcdhKO98lybVJHtpb/5JJf9S2fWVb3qH6rFn9dJL/leTC3jrHJflWWz45yRfbuuuSrJmVtlLl0Wytjb6qLb8zyZ9Pvf/C1v9+LskbW9o57ffeSc5Lco/hc66FbKlOkxy/yGP4sFbHZyf5xPCl2bqxlRfGVeZ+Wdvrk5M8J8lFvXHgQ9p59ZIkaetNzlvHJ/lqe/1/2nuvTfLEtrxvknUrU7rNja28884gzA6kqq6tqkOq6hDgwqpaC/xzb5W/A57Ulp8MnD90HrdHkgcC5wBHtqTahs0urKq17efVLe1bwG8vRx61KLPa462Bo4GDqupg4OfTAigsXG9nVNWhwMuA57W03wCubMfC44CXJdmjvXdKr018cqkLJU1ZqN99DPAB4KjeulcBx8zYxw7TZ22hny7g+iR3b68fAfxrb9OntfPX2qr66RbStLpUuosh+wL7TRKTPBa4V1UdVFWPAj7aW/+WwAeB36uqiwfPsbZmZp02izmGXw4cVlUHAc9c9lzffGMrL4yrzNPfFQo4oTcOvKCl/4iN5+P+Ni9sY8kk+QXgNcDvp7sw8Ed0Y8/VZGzlnVsGYebLeuDQtnw/4GsrmJeb42jgbcCtkuwMZBu2mbXOFcB/JLnnUmZOizarPf4KcGJVTU4IrwOe2pYXqrdJHe/OxhPJ0cCbAKrqOuD/Ao+fWl8awqx2HrrAzCuAB/TWvQE4N8lhU/vYkfqs6X6672PA0Un2oSvTht57s8YbjkF2DI+ia+efT/LwlvZUuv4bgKo6py2uAd4HvLGqvjxoLrUYs+oUFncMbwDWJllTVT9Y1txuv7GVF8ZT5lljvllpJwPPnZE+KfPtAKrqh8D7gTcDt66qLyxFJpfQ2Mo7txwAzZcb6SLcDwO+sdKZuRl+qaq+ApwOHMa2zYR5QG8K3q/30k8EXrCN+9Dy6LfHr9OdJB4OfLe3znfortRMzKq3Ryc5D/jz9j7ALlV1Q2+dy4B92vKx/WmZS1YaabZZ/e4aYLequhK4MMl9W3oBf0Y362W6b9pR+qzpfrrvfOBhdDOCpqeuv7dNgT51K2laXUJ3NfXU9nN0S98XuHzG+rsBd6NrH1qdFqpTWNwx/FzgacBFSf5webO8XcZWXhhXmSdjvvV0M1ABjuvdVnWnlvZ94JszxoVvSPKPwE+q6ust7Z3A4azOWSFjK+/c8h7s+VLAacDb6TrO31nZ7Gy7NjXyAUlOA3YB/mkbN53cltVXVfW3Sf4YuBi4dgmzqm03qz1+AbgjG7+s3omNA/mF6u2Mqnpmuudn3J8ucHNDkn4gpr+fU6pqtQ4WNH9mtfODgXu3/uw2wH/Q2nxV/VuSa4H79PexI/RZ29BPb6A7Dv8b8GjgD3rvPb2qLplaf1aaVpcAa4F7tuWfa+nfBe5Adytd3/eAk4B3A8cOlEctzkJ1Cos4hqvqW8Ax7baXTyS5V1V9c7kzfzOMrbwwrjLfNOZLclJLO6GqJsu0R6MU3cWO/zW1/YvoxqYfT7JzVd1YVRuS/CubPvJhtRhbeeeWM2F2XAvdcnEacEHvnsAdxdHAc6rqiPb8j33p2ud0Obf2up/2LmZPxdNwptvjR4EXJPmZ9voldFdpYOF6m6S/oa0P8HHghQBJdgWeBXx6an1pKNPt/GjgyNafHUh33z1sbJtvoZv1wlT6au+zFuqn+/4C+GR7nkD/WPR2pB3TLwEfbXX+OOD0JPcHPgwcN1kpyYGT5ao6Gbgyyf8cPLfaFgvV6cQ2HcNpD12uqg3ANdPvryJjKy+Ms8ywsSwzx4EtqLQr3cXAfvqP6caivzZjX6vZ2Mo7V1b7waSF1dTv7kXVdVX13FnvrXJHAOf1Xn8dOBD4TJIzkryLrjwvbK/PSHIf4P69W08m96dPyv0x4JZDFUCbm9Eef0jX8Z+V5Gzg0qr6TO992Lzequ3rB8C/JHkQ8A7g9knOogu+vKaqvtfWf0avTcx6CKq0pKbaeYAHT83wuDbdf6qbtOWv0M0YmO7HV3uftVA/DRvLdkFVvaGf1kymua9LsucW0rR6BPgqcFYv7WzgqNZv/2Paf0di4+0Okzo/DnhkkiPRarJgnbL4Y/glaf85B7i8qi5a/uwv2tjKC+Ms88SkLC/ujQMPZdMy/hlwj6n1oXuQfn/23o7wHWps5Z0r2fh8TC2FJFVVRhPnyNjrdAzlH0MZtZH1PX/GXKfLVfYkzwB2rap3LPW+b0ZeRlu/sHTlX011Oq1fRsu7XftdtWUek+k6HUMfNoYyLiVnwkiSJOkmSZ5Kd2vcR1Y6L1oaY6vTsZUXxllmaUflTJglZhRw/oy9TsdQ/jGUURtZ3/NnzHU6hrKPoYxbMobyL9fMkNVqbOUdG2fCaGucCSNJkiRJkjQAgzCSJEmSJEkDMAgjSZIkSZI0AIMwkiRJkiRJAzAII0mSJEmSNACDMJIkSZIkSQMwCCNJkiRJkjQAgzCSJEmSJEkDMAgjSZIkSZI0AIMwkiRJkiRJAzAII0mSJEmSNACDMJIkSZIkSQMwCCNJkiRJkjQAgzCSJEmSJEkDWLPSGZhHSWql86Aldc1KZ0DS0rKfnjv209IcGUEfvUmfNYLyjs1m56QR1LHn4UUwCLPEqiornQdJ0sLspyVp9RpbHz22wpESJgAAIABJREFU8o6Rdaxp3o4kSZIkSZI0AIMwkiRJkiRJA/B2JEkasSRXA7uvdD60pK6pqj1WOhOSJGk0Yy3HHotgEEaSxm1371WeLyN4+J8kSTuSuR9rOfZYHG9HkiRJkiRJGoBBGEmSJEmSpAEYhJEkSZIkSRqAQRhJkiRJkqQBGISRJEmSJEkagEEYSZIkSZKkARiEkSRJkiRJGoBBGEmSJEmSpAEYhJEkSZIkSRqAQRhJkiRJkqQBGISRJEmSJEkagEEYSZIkSZKkARiEkSRJkiRJGoBBGEmSJEmSpAEYhJEkSZIkSRqAQRhJkiRJkqQBGISRJEmSJEkagEEYSZIkSZKkARiEkSRJkiRJGoBBGEmSJEmSpAEYhJEkSZIkSRqAQRhJkiRJkqQBGISRJEmSJEkagEEYSZIkSZKkARiEkSRJkiRJGoBBGEmSJEmSpAEYhJEkSZIkSRqAQRhJkiRJkqQBGISRJEmSJEkagEEYSZIkSZKkARiEkbTkkhyU5CdJ9mqv90+yIcldkuyS5NokD+2tf1GSM5Ocl+QJLe1ZSZ6dZL8k7+mt+/gkJ7TlJDk7yd5t/49q6c9J8sxhS61prR1cmmRdknOS3LulH5vk6235tknWt5/vt3XfvbI5X7yb0eYvSfLs3ravWqm8a9x6x+mZSU5Pskc7HnfqrbO+/T4myRdav/v2lnZY67vPTvKJlnZ8kq+2/axLcqeWtnZlSqm+JIe2ujkryUdanb+hpZ2d5PDeuo9J8rlWj69PkpZ+Tvu9d6v/e6xUeaQxmB4rJDm5jXcvasfnuiQPaePnS3rH6vokO031y/+nvffaJE9sy/smWbcypRsfgzCSlsvfAU9qy08Gzm/LjwE+ABzVW/fKqjoUWAu8cMa+6qaFqk8B901yV+BY4FPA1cDFwO8sXfa1RE6pqrXAS4DfamlHAF9Kcu+quraqDqmqQ4ALq2ptVT1nxXK7fRbT5q8Cjum9LqSVc0rrg/8CeBqbt8fJ6+cDB1TVQcAftLSXA4e1tH7w+0Xt2F5bVd9ZxrxrEVqg+BXA46vqYLp6/A268/AhwOOAl7XAzJ7AS4HDWz9+FfDctqtKckvgg8DvVdXFAxdFGqNZffMJrZ9dW1UXtPQfsXHM0d/mhe04T5JfAF4D/H6SNcAfAS9bxryrxyCMpOWyHji0Ld8P+BoQui+prwAe0Fs37fdtgDXbsO+XAq8Hng28qaVdBtyY5G7bl20tsUnd3g64tg3adwLeCRy9YrlaHotp8zcA5yY5bNAcSrNNjtPdt7LerYBHJElV/aClbQDWJlnTS+vvU6vLEXRBt+sAWvBkLe1c2tL/L/D49nNKVV3ftn0TG7/YrQHeB7yxqr48WO6lcZvVr85KO5mNAdO+yXf/2wFU1Q+B9wNvBm5dVV9Yikxq6wzCSFouNwLXJ3kY8I2WtgbYraquBC5Mct+WvneSs4CLgNdubcdV9Q/Aj4GTqurG3ltvobtS66yC1ePYJGcD7wY+BDwWOK2qzgMeusUtdzyLafMF/Bnw29hetfKOTXI+8DzgFBYOoPx34Djgm0kmA/zn0s2euSjJH/bWndzesq5dZdXqsC9w+VTaLlV1Q+/1ZW29fYDvThLbOju3l7sBdwNOX76sSppybOtT19PNsgU4rn/rZ0v7Pl0//ZCp7d+Q5B+Bn1TV11vaO4HDcRbMoAzCSFouBZwGvB34CN2g/mDg3klOAw5k4xW1K9u06KcAh2zj/i9tPzf9vXY17hfoBodaHU5ptyk8iC7A9kS6QcSngQcmueOK5m5pLabNU1X/BlwL3GfwnEqbOqWq9ge+DOxHF+TeBSDJLu01VfWVqjqKblbXc5Lcqqq+VVXHAPcC9k9yr7bP/u1IPx26QFrQ5cB0v3tDq+eJO9EFXzZZt63zk/bye3RXz3e4Z3hJO7BTWp96CPCZlnbCjFs/CzgReMHU9i+iG4/tlWRngKraAPwr8M/Ln31NGISRtJxOAy7o3aN6NHBkVR1RVQcCj2jpAaiqdcCDk0wHUbZlWvtknXcDO+ozRebRpF5+BOwB7FFVh1XV4+iuuh81Y90d2aLaPN3srelBkrRS/oTuds+vAY9saQcC/w9g8vDVdnvKdVNpG+iezzUZW27rtHkN6zTgmCS3Bkhyd7pbKV/YXu8KPAv4NN2XvGPbbaS0dT4+2VFVnQxcmeR/Dpd9SU2mfm+iqr4F7MpU0LWqfgycCvzajH1pIE4PlbRs2r3lkynrAR5cVZf0Vrk2yV3Y9HaM99FNeb+6l7Y2yRlt+V1V9SEWfnDkqcAJS5B9LY1nJHkk8LN0M2H6U2PPpbsq89b2eoe/LWexbb6qvpLkewNnU5qpqr7ZHtz6e8DJSV5KF0CdDNbf2AuSf7iqrkvykiT3p5sh8cWquqj9U47XJ/k+XVv/H22b/53kmpb2lKlnyGgAVfXv7T+sfLLV09XAbwIvbbcF7wS8pqq+B91/TwFOT/KfdA8fn5xfJ/31ccAnkhxZVX89XEmk0Zscgy9OMnnQ/x+z6Vjqz4AzptaH7p8FfAZ4x4z3NIBU+ZlLWlj3/MWa6wj5GMq4kDGXfV5Zp+MyhvoeQxm3ZAzlH0MZNV5jaN9jKONS8nYkSZIkSZKkARiEkSRJkiRJGoBBGEmSJEmSpAEYhJEkSZIkSRqAQRhJkiRJkqQBGISRJEmSJEkagEEYSZIkSZKkARiEkSRJkiRJGoBBGEmSJEmSpAEYhJEkSZIkSRqAQRhJkiRJkqQBGISRJEmSJEkagEEYSZIkSZKkARiEkSRJkiRJGoBBGEmSJEmSpAEYhJEkSZIkSRqAQRhJkiRJkqQBrFnpDEha/ZLUSudhmV2z0hlYSSOo37EZdXseoxEcw6Nv09axJM0PgzCStqiqstJ50PKxfqUdm8fw/LOOJWm+eDuSJEmSJEnSAJwJo+2S5Gpg95XOxzK7pqr2WOlMrJSR1PHY2KZt0/NmtG3a9jyXRtueYTRt+qY6Hkl5x2bUx7C2LlXzfoupllOSmvdpsmMo45aMvfzzaOx1Ovbyz6Mx1+mYyz6vxl6nYyh/v4xjKO/YTNfpGOp4DGVcSt6OJEmSJEmSNACDMJIkSZIkSQMwCCNJkiRJkjQAgzCSJEmSJEkDMAgjSZIkSZI0AIMwkiRJkiRJAzAII0mSJEmSNACDMJIkSZIkSQMwCCNJkiRJkjQAgzCSJEmSJEkDMAgjSZIkSZI0AIMwkiRJkiRJAzAII0mSJEmSNACDMJIkSZIkSQMwCCNJkiRJkjQAgzCSJEmSJEkDMAgjSZIkSZI0AIMwkiRJkiRJAzAII0mSJEmSNACDMJIkSZIkSQMwCCNJkiRJkjQAgzCSJEmSJEkDMAgjSZIkSZI0AIMwkiRJkiRJAzAII0mSJEmSNACDMJIkSZIkSQMwCCNJkiRJkjQAgzCSJEmSJEkDMAgjSZIkSZI0AIMwkiRJkiRJAzAII0mSJEmSNACDMFoVkjwmyeeSrEvy+iQ7Jfn9JOe19D9s690yyTuSrE9yTpJje/v4bJKX9F6fnOSLbfvjV6JcY5XkoCQ/SbJXe71/kg1J7pJklyTXJnlob/2LkpzZ6vsJLe1ZSZ6dZL8k7+mt+/gkJ7TlJDk7yd5t/49q6c9J8sxVXN5Lkjy7t+2r2vKftnZ9bpJfb2l7JTm1tflPJblrSz8+yTm9fZ6DVsxStYEdTcv7pe34PT3J7i392CRf76332ST7tOUjJ8ewVt6MOtyj9Tc79dZZ334fk+QLrd99e0s7rPXdZyf5REs7PslX237WJblTS1u7MqXcVJJDW97OSvLRJH81a7yQ5MEt/+uSvDvJzya5a5IPtvd/Lsn1SW7RXq9Pcpt2TlvXXr91pco576b7znTjvrstcpwxSf9okjUt/Zz2e7O23dL/oKWdPRlrpBur/GeSu7fXS97ex1bebdXrwybH6m2TnNSOvzOTPLitt1D5J2mfTfLWJLuuRDkWY4xlnjcGYbTikuwJvBQ4vKrWAlcBvwM8vqoOqKpHAW9uqx8PnFVVh1TVgcAlbR97AFcDj5ra/dPa9gfYwQzu74AnteUnA+e35ccAHwCO6q17ZVUdCqwFXjhjX3XTQtWngPumC0YcC3yKru4vpms3K2Ux5b0KOKb3upLcD9irqg6sqkcCH27vnQi8oaoOAV4AvLO33e6TEy29z0grZrvawLLnbvmc0o7fU4CntbQjgC8luXd7/XLg1Ul+BjgOePXw2dQWTOrwL+jqcLo9Tl4/Hzigqg4C/qClvRw4rKX1g98vaufqtVX1nWXM+6KkC5S+gm6McTBdOW7B1HihBVbeAjyljU3OAI6vqkuBu7bdPQT4EvCL6YJWt6qqH9Kd09a28v/ugMUbo5qxvJhxxgkt/SvA4VP72axtJ3kscNeWthb45ST3aetfRHeeXk5jK++2OqUdc2vpvlOc3sZNvwqcOAk+MLv8V1bVoVX1aODL7DjnpzGWeW4YhNFq8Hi6juT69vpNwJHAPkkeCFBVP2jvHVBVH5hsWFWfb4tPBD4EXJZk396+0wb9t8L2PrT1wKFt+X7A14DQfUl9BfCA3rppv28DrGHrXgq8Hng2XXsBuAy4Mcndti/bN9tiynsDcG6Sw3ppPwbuNbmqVFU/aIP6favqCy3tYuC7Se7ctnkLGwdAQStte9vAjmrS9naDbsYiXX/7TuBogKr6EnBLuoD6X1bVtSuQTy1sUoe7b2W9WwGPSJLeeXkDsDbJml5af5+rzRF0Y47rAKrqn4Ar2Hy88AhgXVV9r633QeDhbR9XtgtI+wPvAB4K3BeYzP5arWWfR5laXuw4Y5P+a8qstv1UuvEHVfWfdH3aU9p7fwvcI8ntbl5RtsnYyrut+p/LI9vxSlVdBZxJdzz319tt1rZVdQrwoGXM51IaY5nnhl9KtRrsC3x38qKqbqA7YbwAeF2bMvfErezjMcCngY+w6ZWA9wPfBj7Xrk5pODcC1yd5GPCNlrYG2K2qrgQuTHLflr53krPorqq8dms7rqp/oAtanFRVN/beegvdldqVmFWwmPIW8GfAb7dlqurbdIObk5NcmOThwN7AlVN/5zJgn7bdxcCuLfC4I8+kmBfb1QZ2YMcmOR94HvAe4LHAaVV1Ht2X04mXAo8D3j58FrUV/To8hYWDCP+dbibTN5M8t6U9l272zEVptw43b8jG25G2Jbg+lH2By2ekT48XNhmbNBva7/Pp2vbd6MYdD6ILyHy5vb937zaBly9x/rWpY9vnvJ5uLAiLG2ccl+Tv6erv9Kl9z2rb0+3iO3Tn5Il3te2Wq18fW3m31eRzOYmNx+nEZNwEs8s/nffp7VerMZZ5bhiE0WpwOXDHyYskuwA3VtVnq+oxdJHcP1xo43ab0cOBU4EX0w3yJ55GN13YCO/wCjiN7gvXR+gG9QcD905yGnAgGwNmV7Zp4U8BDtnG/V/afm76e1X1ZeAXmH2FZ7ktprxU1b8B1wL36aV9oE2HPxJ4Dd0tK7ef+jt3ojtm0v7m2wCnu68O290GdlCnVNXkC+h+dDMTj03yaeCBSe4IUFX/DFxWVQ72Vp/pOvwxsAvcdE7+MUBVfaWqjqK74v6cJLeqqm9V1THAvYD9k9yr7bN/O9JPhy7QFmwy5uiZjBd+cQvrTcbNF9B9oUm7cHQr4L+w8RbEye1Ia6vKaf7La3JLxiHAZ1j8OOMEujHiD4A9+jueatsPabdXfhe4Q2+1yTkZunPAx+jO4csVeBxbebfV5HN5NpsHkft5XrD8PTvKTLYxlnluGITRavBpugH7LdvrFwKfSDLp9P+D7gozdNP3nz7ZMMl/pZta/MqqOqKqDgeuTjL5Ep42Le+rSSZXDDSc04ALquqC9vpo4MhWVwcyNVWyqtYBD+7VH/33t2KyzruB52xftm+2RZWX3u1ESXbrlfv7wIb2ZfXyJAe0de4J3KH/fIX2mR1Ad6uHVt7NbgNz4E+AlwF7VNVhVfU4upkV/dmJDvRWtz+hm7H0NeCRLe1A4P8BJLkHQLt9+LqptA10z+eajC1n1fVqqP/TgGOS3Bpuyv++bBwv/H0bL3wROCQbH7b9q3TPf4EuWPXLwL+01z+i64e/2l6vhnKOUbgZ44yqmsxMfFF/3am2/f2W/hG62WC0GV6/B3x0al9/Rdc+ltvYyrutvtCOV5L8HN2zbL44eXOh8rf1n0F3m9WOZoxl3qGtdNRSoqquSvJa4PQk/0n3cMv/A3woyc50A7rJcz9eCbypTYO+Bd292I+le5jYxLl0V2L7U+3eDbyBzadeahm1e+4nU9YDPLiqLumtcm2Su7BpXb2Pbsr71b20tUnOaMvvqqoPTW1D7/WpdFH/wS22vFX1lSTfa+/tCZyUpOja/GT21/OBd6R7+PSPe/vvl/+9dA+t1grbzjawQ6uqbyZ5Kps+PPpcukHf5D/ErPSUdW1Bq8O96L5onZzkpXQBhl9rq7yx92Xuw1V1XZKXJLk/8BPgi1V1URKA1yf5Pl2d/4+2zf9Ock1Le8rUM2QGUVX/nu4/zHyy5fNqumc0Tbyb7mHopyd5AfDhtt6ldLcPTvZxazbOfPkq8Iu9GT97JVlH1wd8p6qORUMI8NCbOc74LPCqNu6crLtZ26a7VecXk3yurfPuqvp6kv16+3oXw5yTx1bebfVHwNuS/BbdbTbPr6qftuN4YlL+W9DdunVmW/cf2fjQ8R3JGMu8Q0sXGJNuniRVVXN9xWcMZdySsZd/Ho29Tsde/nk05jodc9nn1djrdAzl75dxDOUdm+k6HUMdj6GMS8nbkSRJkiRJkgZgEEaSJEmSJGkABmEkSZIkSZIGYBBGkiRJkiRpAAZhJEmSJEmSBmAQRpIkSZIkaQAGYSRJkiRJkgZgEEaSJEmSJGkABmEkSZIkSZIGYBBGkiRJkiRpAAZhJEmSJEmSBmAQRpIkSZIkaQAGYSRJkiRJkgZgEEaSJEmSJGkABmEkSZIkSZIGYBBGkiRJkiRpAGtWOgOSVr8ktdJ50JK6ZqUzsNJs03Nn1G3a9jx3Rt2ex8hjeO5sdgyPoI7ttxbBIIykLaqqrHQepKVkm9Y8sT1LOzaP4flnHWuatyNJkiRJkiQNwCCMJEmSJEnSALwdSZJ6klwN7L7S+dCSuqaq9ljpTKwU2/RcGnWbHpuRHMO26REZQZu2PWuLUjXvzwjSckpS836f4xjKqI2s7/kz9jode/nnkXU6LmOo734Zx1beMZr38s97+bT9vB1JkiRJkiRpAAZhJEmSJEmSBmAQRpIkSZIkaQAGYSRJkiRJkgZgEEaSJEmSJGkABmEkSZIkSZIGYBBGkiRJkiRpAAZhJEmSJEmSBmAQRpIkSZIkaQAGYSRJkiRJkgZgEEaSJEmSJGkABmEkSZIkSZIGYBBGkiRJkiRpAAZhJEmSJEmSBmAQRpIkSZIkaQAGYSRJkiRJkgZgEEaSJEmSJGkABmEkSZIkSZIGYBBGkiRJkiRpAAZhJEmSJEmSBmAQRpIkSZIkaQAGYSRJkiRJkgZgEEaSJEmSJGkABmEkSZIkSZIGYBBGkiRJkiRpAAZhJEmSJEmSBmAQRpIkSZIkaQAGYSRJkiRJkgZgEEaSJEmSJGkABmEkSZIkSZIGYBBGq0aSg5K8KsmfJjknyblJfr33/iuSnDa1zS5Jrk3y0F7ankk+kGR9ks8lecyQ5dD4tLb7kyR7tdf7J9mQ5C4LtNFLkjy7t+2r2vJmbT/JXklObe35U0nu2tKPT3JOb5/nMKAkh7Y8nZXko0n+KsndZuUnybFJvt57fVCSS5OcmeT0JLu39PVJduqt96wkFyVZ134ekuTOSf6mrfv5JHccqsza3BbqcrrOP5tkn7Z8ZJITVirPW7Kt5Wlp/WPgI0n2SHLyrOOgrbO+/Zza0jZp79JS6LXhde18cp9e25tuf69sy/sleU9b7vfdByb5fpI1vfU2JHlwe/1z7dz3qPZ3J/vbkGRtW37W5HxnebUcptrAuiS3TXJSq/Mze/U3GVOc2cYtk3qepH02yVuT7LqyJdIYePLXanMfYM+qOrCqHgl8uPfew4EfJblNL+0xwAeAo3ppbwHeWlWHAGuB7y9zniWAvwOe1JafDJzflme10auAY3qvK8n9gL1mtP0TgTe09vwC4J297XafDC6AWrKSbEW6YNMrgMdX1cHAHwC3mFqtn58jgC8luXcv7ZSqOhQ4BXjajG0mTqiqte3nAuD5wB/3ju+rtrtA2l6z6nK6zl8OvDrJzwDHAa8ePpvbbKvlWeAY2JnN2/Dk9QZgbVUdUlW/MvWetNROqaq1dMfab9G1ten2B/CoJDu35Zr6Dd1564PAob20C9h4PnsS8Lcz/v63gN/eviIsytjKq82dMhkrAC8FTm/jhF8FTpwEXOjGFIcCXwEOb2lXVtWhVfVo4Mus7vOT5oRBGK02PwHuneTuAFX1A4B0V/+/DXwMeEJv/SfRDYQf0NbbCdinqs5t2/+0qr40VOY1auvZOHC7H/A1IEy10eYG4Nwkh/XSfgzcq9/2W3vet6q+0NIuBr6b5M5tm7fQBWZof2soR9ANeK5r+fon4IpZeUhyS7pzzTuBo/tvtd+7zUhjC2nXAQcnuU1V3VhVN968ImgJbVKXs+q89cO3BN4M/GVVXbsC+dxWWy0Pmx8DF1fV5BhYqB075tJQJm3wdsAP2vKs9vd+4JkLbAtwT+CVbHoR4R+B+7blw4C/mbHfK4D/SHLPReR5e4ytvNpcvx4fWVUfBKiqq4AzgUdMrTdz7FFVpwAPWsZ8SoADAq0+FwNvAk5OcmGSh7f0o4BTgb8GHgfQrqjuVlVXAhcmuS+wN14Z18q4Ebg+ycOAb7S0NWzeRqG78vZndFfOCqCqvk33BbXf9vcGrpz6O5cB+7TtLgZ2TbIvw15V3xe4fEb6e9tU4PW9tMcCp1XVecBDe+nHJjkfeB7wnpY2qwzH9aYY3wk4AdgVOD/JB9sXZK2s6bpcqM5fStd/v334LC7KtpRnoWMAZh8HAJPb6N7aXg8ZONW4HJvkbOAkulmVYfP2V8B7gafP2kGSXwIuqKrLgNtPvX1Rultsr6e7qDDLiXQXCYY4N42tvNrcsa3fPYlu5mHfZNwE3Zji74H9gdNb2nSdTW8vLTmDMFp1quovq+pRwJHAa1ryEcD/B3wIeESbTnow3ayZ04AD6QI1VwE/N3impe4kfhrdF8yP0A0CD2bzNtqtXPVvwLV0t+BN0j4w1favYvPB4J3ovvyl/c23Ab+7LCVa2OXArGexHNOmAx/SS3si3eDo08ADs/EZLqdU1f50U3/vsoW/1b8d6TtV9aOqenFV3YduOvGxS1AebZ9+Xe7HAnVeVf8MXFZVq32Auy3lWegYgNnHAWy8PWJyvPplTcvllKo6iO6K/mvY9Pac/vnieuDzbLwtAza2y6OBQ1u7v1eSA3rvfxx4B92FsVmqqv4WuDuwx1IUaCvGVl5tbnI70rPZPMA9GTdBdyHnQXQzphaqKwPkWnYGYbTa7JlkMkXw+8CGJLcH/rWqHltVjwNeR3cCPRo4sqqOqKoDgQPa4P67Sf4rQJI1bWaCNITT6K6kXdBeT7fR6emwN91OlGS36bbf2vPlk8Fgm+p8h6r6zuQPVtU64AC6Wz2GchpwTJJbt3zdg25mwCbaPdh7VtVh7dh9HptO8wb4E+Blk03YfPCzyev0HnoK/Duex1aTSV3usYU635EGt1sqz/QxcPe0Bw9vwXRbXejWJWl7TdrVj4DbtuVZ7Q+6QP6s55k8pKoe1dr9UfRuJ23nuAvojoMt3Ub6LuC5i8794o2tvNqyLyT5Vegepkz3/LgvTt6sqsls5Be1pJvqNMkzmP3cH2lJOXjVanMb4ONtWulf0z0c60lA/z+/nE13cnxwVV3SS/9Be1bG84HfaVPB19HdIywtu6q6rqomA7CweRu9Nsld2HgL0leA77X39gQ+keQsNrZ96Nrzi1v6iWwc4PWvor+XzWfMLJuq+nfgVcAnW75OYPYU7UPoHlg8cS7dM51uyntVfRPYqw2UCvhMkjOSvKu9fnHvdqRDgcOSfDHJmXQzFN6DVoVWl09l09t0JnV+02qDZmo7bKk87Rh4NRuPgdfRHQNbKt/k9ojP9tI+0/4jx7uWNvcauWckWUf3/JLJfyKbbn+T89AVwD/Qa7st4H/TrbDtWHgYm/bdz23PRJrV5idpH2OYCwRjK6+27I+Ax7a++S+B51fVT6fW+SywNsktgL0n/x2J7p+AHD9objVK6YKB0s2TpKpqrq/kjaGM2sj6nj9jr9Oxl38eWafjMlR9J9kF+FRVHbbVlZf+b99UxrGVd4zmvfzzXj5tP2fCSJIkSSOW5LbA51j9D85eEmMrr6TVxZkw2i5jiPSOoYzayPqeP2Ov07GXfx5Zp+MyhvpeiZkwK2kMZdySeS//vJdP28+ZMJIkSZIkSQMwCCNJkiRJkjQAgzCSJEmSJEkDMAgjSZIkSZI0AIMwkiRJkiRJAzAII0mSJEmSNACDMJIkSZIkSQMwCCNJkiRJkjQAgzCSJEmSJEkDMAgjSZIkSZI0AIMwkiRJkiRJAzAII0mSJEmSNACDMJIkSZIkSQMwCCNJkiRJkjSANSudAe34ktRK52GZXbPSGdCwRtCmx2b0x7Bteu6Mvk1rvo2gz/IYlkbMIIy2S1VlpfMgLSXbtOaNbVrSjsQ+S9K883YkSZIkSZKkARiEkSRJkiRJGoC3Iy2xJFcDu690PrSkrqmqPSYvrOO5tEkdj8lI2rPH8Pwb7TE8RiM4hm3PkjTHUjXvz70aVpLyXtb5Ml2n1vH8GXOdjqHsHsPzzzodl3mv7zH2WWMoozaa9/qe9/Jp+3k7kiRJkiRJ0gAMwkiSJEmSJA3AIIwkSZIkSdIADMJIkiRJkiQNwCCMJEmSJEnSAAzCSJIkSZIkDcAgjCRJkiRJ0gAMwkgAHifaAAAgAElEQVSSJEmSJA3AIIwkSZIkSdIADMJIkiRJkiQNwCCMJEmSJEnSAAzCSJIkSZIkDcAgjCRJkiRJ0gAMwkiSJEmSJA3AIIwkSZIkSdIADMJIkiRJkiQNwCCMJEmSJEnSAAzCSJIkSZIkDcAgjCRJkiRJ0gAMwkiSJEmSJA3AIIwkSZIkSdIADMJIkiRJkiQNwCCMJEmSJEnSAAzCSJIkSZIkDcAgjCRJkiRJ0gAMwkiSJEmSJA3AIIwkSZIkSdIADMJIkiRJkiQNwCCMJEmSJEnSAAzCSJIkSZIkDcAgzCqV5KAkr+q9PjnJ3ZLskuTaJA9t6b+Z5Plt+WeTnJfkPkmuSLKu/fx6kp9J8r4kZ7V1Hr9SZVvIpMxJ/jTJOUnOTfLrvfdfkeS0qW02+Txa2p5JPpBkfZLPJXnMkOVYjLGVOcmhLY9nJflokr9Kcrfe++e03+vbz02fR/+YWOjz0rab1EVb/kiSPSb9TG+dc3rLxyb5eu/1QUkuTXJmktOT7N7S1yfZqbfes5Jc1OuPHpLkzkn+pq37+SR3nMrb+t7PqUkOT/K63vt7Jjmj9/qbSZ46tf0r2/J+vfTfT3JeW/7Dm/N5ba3tDv1ZrbQtlG36M/hskn3a8pFJTlipPEtb0jsv/3yS09qx+OEke7b3T07ynt765yy8t2FkgTFjW541ZrioHbPnJXlCS3tWL/2jSW6R2WPMXRb4O89MN/44K8lLeutsSLK29zeevdyfh8ajdw5a18aF95kxhnh+W74kyVfbume2tGt6657peUpDWbPSGdAW1YzlxwAfAI4Cvgy8E1iX5BTgt4G3Aj8GzqiqZ042Thd0ubiqjmmvb7v82b9Z7gNcV1UHAiS5Xe+9hwM/SnKbqvphS5v+PADeAry1qs5Nsgb4L8Nk/WYbRZmT7AW8Ajiiqq5Lck/gxKnV+m1+bVVVknOBd03eT3I/YK8FPi9tg35dAD8C/gDYmU0/f6ZeHwF8Kcm9q+ofW9opVfWHSY4Bnga8bcY+AE6oqpN6f/91wB9X1fokO89Yv4BDq6ra+muAV/fePxL4RHvvgcA5Le1DvXUe1d93ktsAT6iqA5IU8OYZf3emm9F2h/ysVoNZZZv+DF4OvDrJbwLHAU9YuexK2+SdwG9U1beTHEB3zB/T3rtfkn2q6gpmH8crYdaYEWaPGa6sqkOT/CzwKeCTLf2EqjopycuARzNjjFlVN0z/4SS/APwycFA7b/95ksOr6gzgW23bdUtWUmlTk3PQw4HfYmoM0ZyY7uLL56vqpraYZN1k3SQPw/OUBuJMmNUtU8sBnkT3ZeABAFW1AXgt8Cbg4Kp6/4xtAa4DHpzkDm27a5cx39vjJ8C9k9wdoKp+AJDkrsC3gY+xaae4yeeR7qryPlV1btv+p1X1paEyfzONpcxH0J0orwOoqn8CrmDztjqxU5JbArtMpf8YuNf056VFma6Li9uXiUk/s4lWDzvRDciP7r/Vfu82I40tpF0HHNyCizdW1Y0ztrnp/FRVPwUuagN9gCcDH2/LR9N96b9Vklv0tn8/8Mze6/8Ebt+CNottN9vcdlfos1ppm5Rt1mfQ+qRb0gW//nIVn4MkgDsCl1fVtwGq6jy6/mPS1t8O/G5bXugcNrTpMePEJmOGqfdvw6YXZDc5lrcwxpz2K8CJvS+9rwMmsxOvAP6jBa+l5TBpt7cDJuf2Wd9xFzrnBjxPaVgGYVa3Y9uUufV0VzIAdquqK4ELk9wXoKpOB/YD/qS37aOzcUr7E6pqPXA68PEkX1zFJ8OL6U72Jye5sEW1obuCcyrw18DjAJL8DJt/HnsDVw2f7e0yljLvC1w+I/29vXbedyZwKfCOfmIbFL+ZzT8vbbuF6gJm18djgdPaF5GH9tKPTXI+8DxgMj1/1lXh43r90Z2AE4BdgfOTfLB9ae8LMLkF560t7WPAk5PcCti9qi77/9u792hLrrpO4N9fCAIiioRXeDqCiAoKSKIBhaQJIBFRUGQgBFSMgA4oLB4jKiiow3NERBAhiQYQlyYENAYI0J0Egsqb6GBgDA+BECVDEAgEQ7Lnj6rTt+7pe2930333vTnn81krK6fq1Klb++xdu+p8a1f1OP+urbX3Zejfjp1sw2uSPGK2wjFA+dUMPw5SVQ9ap/xr2Z+22/u72g7my7bed/CMDH3Zn/TfRNgvt05y8dy8f89wvG0Zjk9HjSNJtos9zhnXOWdIkptU1TlJLswQssw8tao+lOSIDH3qeueYM7M+7PCs/r4+Pc6beUmG/ne7jBpisZxQVecmOTnJX2flHGLn5BxiPfNt0nGKLoQw29uprbUdrbVjkrw5ydEZRkycleRHM/xIn/l4hh+sM2ePn93RWjszSVprL22tHZnhQPjsHgX4RrTW/rK1dq8Mtxf8/jj7uCS/nuF2g6PGYflHZ8/v43NJbtp9ow/QkpT5sxmuLs47ftLOp45Jcq8k957/QGvtdWt8X+y79eoiWbs+HpThJOdNSb6/Vp5Lcmpr7YgMQ9xvs8Hfe/6kP/p0a+3y1tpTWmt3TPK+JCfMLd8y3I52TGttdrX5zRl+WDwgyZuSZBwNdedxf3jYuJ0zVyR5Z5L77V5pa29trc0C7f15Jsz+tN3e39V2MC3bbbPOd9Ba+2SSz4xX12E7+1SSW8zNu1mG421l6KNem2F/3C7Bwvw5Y7L+eeN/tNaOTvLQDMfamecnuUuG0QQ3msyfP8ecmY0suDir+8hbZSW4bq219ye53dw64WA5tbV27wxt9/ezcg6xY3IOsU8cp+hFCHPNURmGdf9Ea+24NjwP4x5z788vvzJRdfjkCuqlayy/XRxWVbPh+l9IcnVV3SzJp1prP9Zae0CGK9n3yxrfx9hpXlxVP5IMz5IY7/HczpalzGclOb6qviVJqur2WX2lbF6Nz5JIVd1x98yqG85/X5u0vYtsvi5uV+PD6ObV8DyWw1prx45t8fFZHQAnwxXS35h9JHvvj75zMnlp9jwW1fy81tpXx2WfkGFUTDLsD48Z94f7JDl8vF1g9vdeluFZBLOHU05/VO3PbT371Ha36LvaTmZlu9EG38F2PfbA1GeS3GLc11NV98wQXEwDl9dm5Rkx282sb5k/Zzhq8n7GZ2PcbXJMzVjGP07y5Ln1beSMJL86jrxJkqdlGMk7/eyrkpz4jRUHNjRrY5cnmT3zcl+PlftyWzAcdB7Me81RSY5srX18Mu8/q+rWrbVPZc8rMceOD5tKhoeunZ/ktKqa/fB4wuZu7jfsBhlumZqdQDwzw/3M03994NwMDxL9nrW+jyRPTPLSGv6lgGtl9QM9t6OlKHNr7dJx+84cb6v/fJI9HvA3W3zy+qQMD1p7/Th9WJKTa3i46iHZvxENZHVdjLNekOQxWfuK7jFJPjCZPj/DyfkFk/V9tKpuXFU3Hdfx5rF+/i3JeUmeUsNDW5Pk95LcroZ/IePyJF/Knj9kWoahxEny9dbafcf5ZyR5Rlt52O1xWf2A3A9nuNrbxu26pKr+KcPVsesmObVWHm774vW+n3n70Xa34rvaNsay/WyGZ8HMzL6D2ZDw7TJqANZTSb6eITB4WQ3/GtDnkzx2fH/Wv3ythn8ZaY/RmttAy1COu82dM3yxqm6T1fvha5P8XIYyzrw1yXOq6tqttSuz/n5bSa5qrf1zVZ2W5JyqujrJm1prs9E4s8+ekfF2UDjIHjkGpdfNcP77lKx9DrFWO97XeXBQ1epQnwNVVa21JkFdIPN1qo4XzzLX6TKU3T68+NTpctnM+q6qRya5fmvtFXtdeJNcU/qsqnpLkgePz9w60HVtyzKyORa9vhe9fBy47TysGQAAuhhHcp2Y5PSt3pbtrqr+PMk/HYwABmDZGAlzkEk+F8815YoU37hlrtNlKLt9ePGp0+Wy6PW9jH3WMpSRFYte34tePg6ckTAAAAAAHQhhAAAAADoQwgAAAAB0IIQBAAAA6EAIAwAAANCBEAYAAACgAyEMAAAAQAdCGAAAAIAOhDAAAAAAHQhhAAAAADoQwgAAAAB0IIQBAAAA6EAIAwAAANCBEAYAAACgg0O3egMWUVW1rd4GDqrL5meo44WzRx2z2OzDC8c+zEJbgj7LPrxkFrxNa89sSAhzkLXWaqu3gc2ljuGazT4MXJPos1g02jTLzu1IAAAAAB0IYQAAAAA6cDvSQVZVn0/y7Vu9HZvsstbajbZ6I+hjSdr0srEPLxH78EKyD7Ow9FkLaVWftQR1rI9mQ9XaIj8Tqb+qaot+n+MylJEV6nvxTOt0Gep3Gcq4kWUv/yJa9jpd9PIvevn2ZtnLv4jm63TR63jRy8eBczsSAAAAQAdCGAAAAIAOhDAAAAAAHQhhAAAAADoQwgAAAAB0IIQBAAAA6EAIAwAAANCBEAYAAACgAyEMAAAAQAdCGAAAAIAOhDAAAAAAHQhhAAAAADoQwgAAAAB0IIQBAAAA6EAIAwAAANCBEAYAAACgAyEMAAAAQAdCGAAAAIAOhDAAAAAAHQhhAAAAADoQwgAAAAB0IIQBAAAA6EAIAwAAANCBEAYAAACgAyEMAAAAQAdCGAAAAIAOhDAAAAAAHQhhAAAAADoQwgAAAAB0IIQBAAAA6EAIs01V1b2r6jmT6VOq6jur6jpV9cWqOnKc/9iqeuL4+rpV9a6qumNVXVJVO8f/frGqrlVVr62qc8Zlfnyrysbyqqr7VNWusR2+vqr+pqq+c/L+O8b/7xr/O7+qfnGct3ufqKr/XVXvmL6/1dbZZx9TVY+Zm3eb8fVPj9/DOVV1ZlXdoapuW1Wvniz/rKraMa77E5N9+oFVdYPxc7vGffpuyktvk7p6e1W9paq+fZx/QlV9eLLcW6vq5uPrn6iq52/h9s76kVdW1csn7z2rqi6YTD+1qi4aX59SVf8wtr+dVXVoVR07tsVzq+qNa/ytL0za8G9O5q/1dz84rvtPJ/PfcfC/Aeb6l3eM50yz49KqY0pV3b+qzhuXfWENjq6q543vH1lVn5gs/77x/1dX1Y7x9aOr6hc6F5MkVfVnVXXH8fUfV9Vvj6+PqapLp/UytoFDxv3xQbVyHjLbj0+a21d3VtWttqho69qgfc/+O62qnji+/vhYnp1jH76rqi6bLPv27dBvb2TZysviOHSrN4ANtTVe3z/J65I8OMm7k7wyyc6qOjXJLyd5aZKvJjm7tfao2YdrCF3+tbV2/Dj9rZu/+bCiqm6c5LeSHNda+0pVfVeSl8wtNm3zO1prrarOT/Kq2ftV9X1Jbtxa+9Fxvd+22du+H9q+TFfV9yQ5Icl9WmtXjd/Njdb5zMyprbVnziaq6leSnN5aO6WqDklyvQPe+v23bOVlbae21p5ZVccneXiSlyU5Lsk/VtV3t9Y+kuQ3k/xuVT02yVOTPHDrNjdtbEOHZ8+LUVdU1e1aaxclOSrJpybvPby19vHZxBisHDv2Z2v1Qxe01nZMZ2zwd5/UWts1BjTf21r7cNbfNzhwszb7w0kel+G7XnXMqarDkjwjyf1aa1dU1dOTnJjhHGwWqt09ySfHPu2QJJ8d51+U4ZxsZ78isYZ3JzkiyYVJvjUrx40jkjxvbtnp/vbl1toxSVJV583246p6VpInt9a2e72u1b7v01qblvElVfXMJO+clqeqds6WraofyvbptzeybOVlARgJs73V3OtK8pMZfsjeOUlaa1cn+V9JXpzk6NbaX6zx2ST5SpK7VdUtxs99cRO3G9ZyXIYD5VeSpLX2f5Nckj3b6swhVXW9JNeZm//VJHeoqtuN6/nPTdreb8R6ZZn3M0le0lq7Kklaa5e21j66l3WstU8fVVWHtdaubq1dvv+be8CWrbysbVZXN0yScb89JMNFgockSWvtHzP8APrDJH+5DY5B90qyK8k7xxP3mTOSPGS8GnpJkqsn782fM12dZEdVHbpOP7RW217v787WvZ1C5UU2q5tvSzKru/ljzo9nOGZdMU6/OMmDW2tfSvLN47y7JDkpyZEZfti/Z5x/SZIvjxcb2DrvSXJkVV07yX9lZT87Isl/ZM/z7LXMz9/X495WWrN9b7Dc/LxKtmW/vZ5lKy8LQAizvZ0wDpnblWEETJLcsLX2H0kuGK8up7X2liS3TfLcyWfvW5Oh/K21XUnekuQNNQypdmJAb4dn5Srh1Gsm7Xzq7Uk+keQV05mttY9lOECeUlUXzP2Q2Wpr7bNruUXG76KqnlRVf1/jbYVZ2Xd3JXn0GuveWVV3T3Jqhqv0u6rq7Kq66SaUZ2+Wrbys7YSqek+Sxyd5dZIfS3JWa+1dGX6czjwjyQOS/En/TVylMowmPW387yGT996T5IeS/FSS+VuMXjMb3j5On5hh5M+F4xXWeXeetOHZLS7r/d0XVdVHklw5joJhc51QVecmOTnJX2doE/PHnMOTXDz7QGvta0m+aZy8cDwHu26Sd2b4UX9EhpEXMy9J8qsxomkrfTBDUPb9ST6U5N+q6rZJviNDvTx1cvz5gXXWMV9/L6rJbYmbtN0Haq32/bZxm1+6l8/Ol3e79NsbWbbysgC2a+fBYPdw/Ko6OcnRSb67qs5KcoMkX07yL+OyH89w8jCz6nakJGmtvTTJS8fhds/OcPIIvXw2yS3XmH/8GKykqs6bzD8myR0yjPx65fQDrbXXJXndeDJ1SpJVQ/630HSfPSXJzZNcNnn/ehlG8lyc4bv4l9baH9TwHIGjx2V277tzP+xW3Z4zek6S51TVw5I8KcmvH+Ty7M2ylZe1zYaCn5zhgsCDkty6qv57hlFrt2ytfaa19smq+sw4gnMrVYY+47vG19NA7+oMfdXDktw3ydMn7z1iejvSeMvS8eMtRm+sqjtMRngla9yOtMHffXKSv89woeSbWmv/dSAFZK9mbfYmGUaytAx1Mz3mrDpmVdV1klw5Tr43wzHqy621j1XV7TOMBJv94GuttfdX1e8l+dckrqhvgdbalVWVJPfIELDeJMOo3EvGRZ7fWjs52X1byr64Jt2ONG3f87fn7JNt1G9vZNnKywIwEuaaozJcNfuJ1tpx4/Mw7jH3/vzyKxNVh4/DbJPk0jWWh812VoYfLN+SJONJ6+EbLF/jsyRS44P1xtc3rKobjpNfyOrbBbabNya5Z7L7BP7WrbXPJTk9yROqanZV9dqTz6w3PHp+n77N5Crc5+bf3yLLVl5We26S30hyo9basa21B2QYHfPgyTLbod7umuT147H0AUneUlV3mrz/50nObK19Pau3d9U509iHzW4Lvmz+/ezZho/Y6O+21r6aYYTMz6/1eQ6q2Xd7eYZnhSSrjznfneRNGa6wz86dnpTkDePrdyd5bJL3j9OHZHhW2aVz639VhhFTbJ0PJfm5JB/IUF+PzxDI7OttRtfk25Gm7Xtff/Otd8vOdrZs5WUBGAlzzVFJjpxehUvyn1V169bap7LncLpjJ6n+3yU5P8lpVTW7uvaEzd1cWK21dmkN/yrJmeOVqc8n+dp6i09en5ThQWuvH6cPS3JyVbUMB9m1bgPYDlqGUSAXjcNkD8l4y2Br7cNV9doMw2W/luSKDD9eZ5/LGq8fWVX3HF+flORLSf6qqr6S4ersz2drLVt5mdNa+2hV/WxWj1w7P8Moj90jBLpv2GqV4RaFcybzzs0QFLUkaa29N8NIh2T19r6mqq4Y5z00ydPGEOXKJP/QWrtw7m/daXIcfl+GZ1K8bb2/O3pdkjdnuCXmTlV19jj/b1trf7R/RWUDs/7lukl+N8lTJu+dlOTxrbVfq6rnZgjLrsrwI372r6V8KMOIptkzYD6d5FqTdczq9IwkL9icIrCP3p3kR8Zn+3x6HC3x7qweiZas1NneHjj/wqqajfh8Qmvt/xzUrT041mrfbxvPvb7eWrvvuNxa/fG+zttOlq28LID6BkZqsYGqaq21hU5Ql6GMrFDfi2dap8tQv8tQxo0se/mnquqRSa7fWnvFXhfexpa9The9/Itevr1Z9vIvovk6XfQ6XvTyceDcjgQALLxxlM6JGW6PAwDYEkbCHGTLkHwuQxlZob4Xj5Ewy2XZy7+Ilr1OF738i16+vVn28i8iI2FgNSNhAAAAADoQwgAAAAB0IIQBAAAA6EAIAwAAANCBEAYAAACgAyEMAAAAQAdCGAAAAIAOhDAAAAAAHQhhAAAAADoQwgAAAAB0IIQBAAAA6EAIAwAAANCBEAYAAACgAyEMAAAAQAdCGAAAAIAODt3qDQC2v6pqW70NHFSXTSeWoH4v2/sii20J6njZaNOL3abV72LX7zJa+jYNU0IYYEOttdrqbWDzqN/Fp45ZNNr0YlO/wKJzOxIAAABAB0bCwH6qqs8n+fat3g4Oqstaazfa6o3YCtrzQlra9pxo0wtqVZtWxwtpqfstYLlUa265PJiqqi36MMplKONGlr38i2iZ63SZy76olr1Ol738i2i+TtXx4lGny2XR63vRy8eBczsSAAAAQAdCGAAAAIAOhDAAAAAAHQhhAAAAADoQwgAAAAB0IIQBAAAA6EAIAwAAANCBEAYAAACgAyEMAAAAQAdCGAAAAIAOhDAAAAAAHQhhAAAAADoQwgAAAAB0IIQBAAAA6EAIAwAAANCBEAYAAACgAyEMAAAAQAdCGAAAAIAOhDAAAAAAHQhhAAAAADoQwgAAAAB0IIQBAAAA6EAIAwAAANCBEAYAAACgAyEMAAAAQAdCGAAAAIAOhDAAAAAAHQhhAAAAADoQwgAAAAB0IIQBAAAA6EAIAwAAANCBEGabq6obVNWZVbWrqt5VVT9YVZdU1c7xv1+cLPvWqnraZPqUqnr1ZPodvbeftVXVvarq7WO9vrWq7lFVXxjnvbOqjpgse+uqurKqbj6Z9x1V9bdVdc74mR+sqkdX1YWTtnH3rSnd7m381rF8u8ay7ayqk6rq6VV17vjfo8Zlbztp12dX1U3G8vzCZH27quqQqnpWVX1wnN5ZVbeam/enW1fq5VFV966q50ymT6mqx1TVY+bm3WZ8/dNjez1n7NPuMNb7tI96VlXtGNf9iUlbfuAafeHdepVtnPdbVXXWZPrRVfXxqqpxeldVHTK+/pVJWU+rqpuu05efNbd//N1k3eeNn5/26VdX1Y7JMr8QNs20HVTVK6vq5ZP3nlVVF0ymn1pVF42vT6mqf5j0UYdW1bFjvZ9bVW/sX5r1ze1v76iqO47bfk5VnV+rzzPuP7bNnVX1whocXVXPG98/sqo+MVn+feP/t03bXZby1p7nGUdV1X8b+52dVfXXVXXYuOyszZ5XVc8a582Oy28d1/HEybo3Wo/zTjbF3L67q6reP7/fjss8e3w9O7burKrfnMx727hvPLuqrjVZ/z4f5+FAHbrVG8BePSrJ6a21U8Yd/3uTnN1ae9R0oaq6UZLPJ7lXkudP3vq+qrp5a+2SJK3XRrO+8WTld5I8sLV2eVVdP8l3JbmgtXafqrplkhcneej4kQcnOTnJTyZ5xTjvVUke11r71/HzdxjnP7+1dnKvsmyktfbFJMckSVWd11rbUVU/luQnW2v3Hg98r6+qdyf5asZ2XVUPTfJLST41v8rJ6ye31nbOJsbj45Naa7tq+LH0va21D29i8RjM9ylrTlfV9yQ5Icl9WmtXVdWNk9xonc/MnNpae+Zsoqp+Jav7wusd8NZvbH67fjjJ5VV1g9bal8Z5l2fYP1+flbLeL8mdW2tHj9PfkeTaGfbnVdvfWjtuXOa81trsB9v3JnlIknu31lpVvbyq7tdaOzvJRUl+Ocnuts+ma2N9HZ49L1xdUVW3a61dlOSorO6zHt5a+/hsYvwBcGxr7StV9W2bvtX779TW2jOr6oeTPC5De94xtsHzk7xqPHY9I8n9WmtXVNXTk5yY5HVJfnNcz92TfHLcxw9J8tlx/nZruwtd3g3OM16Z5Jdaax+rqnskeUmS48ePPby19vGqesu4fLJyXK4kf1pVD2qt/c1e1uO8k820+9ygqnZmOK/Yvd/OLXvB7Ng6N+/Y8fO/leR/JPnD8b19Os7DwSDN2/6+kuSoqjqstXZ1ki8lqTWWe1CSv0rymao6fDL/TzJ0MFnnc/R3XJJXt9YuT5LW2uWttQ9mpX6+Pas7+qOTPCXJ/ZKkhpEFF7fW/nXy+Q+My273Ov7ZJC9MktbaVRkOfA+dW+ZDSW41vp6WZ73XM7P+bDv+wFlU+9refibJS8Y6T2vt0tbaR/eyjvn5q/rC2f7TwxikfCzJGUkeOHnrlAw/yqYelkkQ3lr7RGvtM9l4+6dlnX1Xsz7gBRn2myS5JMmXq+q7DqxE7Kd7JdmV5J3jj/aZM5I8pIZRipckuXry3vz51dVJdlTVoa21/9zUrf3GzNrgtyWZbd8hVXW9JNcZp388ww+gK8bpFyd58Phj5ZvHeXdJclKSI5MckeQ94/zt1nYXvbx7nGdkuFD32dbax8Z570pys8mV/Rovjnxz5trv2B/9XpKfGs9B1lrP7Dt13slmmj8XnN9v11t2Lc/NsK/s63Fee+agEcJsf6/OcHVtV1WdneTmSe47GV436yjun+RNSU7PkNgmww/5t2c48b9u5+1mfbfIeLWsqh5ew3DoFyS5c1Wdl+ScDCc7Ga+u/b/xpO9LVfWtGa7IfnbNNSdPnbSNW62zzFY6PMnFk+lPZ2jTycrB7V5JPjJOz8qzK8kPTD73opoM9Z/M+0iSK42C6eaESf3cf4Plpm3+SVX197UytP2+k3U8eo11z26tOzWTvrCqbroJ5VnPg5OcluRvkzxgMv8LST5aK7f+VVaX9XlV9Z6qekg23v5p6LrWPjIN1l+S5FfjilwvlZX6Py3DKKWZ9yT5oSQ/lWT+FqPXjH3UaeP0iUkenuTCqnpmtp8TqurcDKMu/zpDud+e5BNZGYG5qm221r6W5JvGyQvHEW/XTfLODIHEEUnePfkb26ntLnp59zjPyBAWXTy33L8nOaYfruEAAAsTSURBVGx8/RcZfoSeNxkFMHVxhuP1zddZz03ivJPNNzs3mI36nt9vp+5cez6+YXeQ0lq7Mit3hezLcX479F0sCCHMNtda+3pr7Tmtte/PcAD9tQzDQ3eM/505Dhv94Qydx1Oy0nlUhg7jtRluBdB5bA+fTXLLJGmtvS7DEN4bZxgiea8kT0tyj3HZn0xyl6p6U5I7ZUjnd39+Dc+ftI1Pb2IZvlEXZzg5nLlVVgKl+1bV2zOEMK8c583Kc0ySD04+9+TW2jHje1+fzctwVfLGVfVNoYdTJ/Xzlgwn59OrUdfLcKvZxVlp83+Q5OlJbjguc/ZkHX+2xrp3tNbe21q7aq4vfNKmlmy145L8eobRhkdN2lfLyg+tmd1tvLX29CR/lORb9mP7d39Xo+k+0lpr709yu6zczsXmqiQ7krw8w8i9+0zeuzpD3Twsww+BqUeMfdTPJElr7aLW2vEZbh09oqrukO3l1NbavTP0ob+foW0fk6E/vve4zKpjT1VdJ8mV4+R7x+W/PI6QuH2SH8zKyJDt1nYXvbxrnWdcK6uPv0lysySXjq8fnuH2qruss85bZuif1joHuVmSz8V5J5tvdm7wC1l7v526YHIeMbtVaXebrKprZ2Wf3p/jPBwwIcw2V1W3mVzp/1zWrrPjkjy7tXZca+1+ST5fVTecvP/arNyry9Y7K8kjx1EtyfC8iKk/y5D0H5JhOPQ9W2sPyHCAeVBr7d8yDP29Q5JU1fWranbStF2HSs626/QkT02SsV3/Wob7bJPhx/h9WmuPWudWk73djpTW2lczhJE/f1C2mv31xiT3THb/YLl1a+1zGer9CZOTmmmb36dbztboCze7rc8exHfzJJ9qrf3YuB++IOOtgcnw4zrJ9TP8KGkZrqo/fTI0/9r7sP3T12ckeWKtPCzwaRna9HS5V2XP26DYHHdN8vrx+PqAJG+pqjtN3v/zJGeOYfC0Hlcdq6vq9kky3lZ82fz728Bs2y9PMjs2VWvtI0lSVd+dYbTtCePQ/2QIEt8wvn53kscmef84fUiSG7fWZj/wt1vbXfTyrnWe8ckkt5i1xaq6Z5L/mNz6WGN//cGqmo1snPWD10ryP5O8obX2qSSHb7CexHknfVRW77d3XOP9tT4z87QkZ1bVzbLvx3k4KDyYd/u7S5K/qqqvZEhrfyfJ6ePDqJLhQHvXrDwkLknOz/CMmJYMQ2jHoahrpcR01lq7tKp+O8kbq+qqJF/PcF/qs8f3rx5vPTs+wxX0/xrnX15Vh40/bk9M8kdV9S0Z6vkp4+qfUlWzE5/fa63NX53dKrO2eFZV/cB421WSnNRa+3BV3XZf1zF6YVV9YZz3hLn3XpfkzVl7aCqbp2UY9XLROMz/kAztOmMdvzbJ26rqa0muSPIbk89ljdePHE/uk2HkyJeyui/c7KDtETU8/2NHksdM5p+b4cTt3Mm8P05ydpK01t48BqTnVtUVSb6YlVFa623/7nK31v65qk5Pck5VXZ3kTa21N88td0aGk0Q2V2UYgXfOZN65GYatz/q092YYFZGsbr+vGeu/ZXju1dPG8ObKJP/QWrtwczd9v832t+sm+d2sHFOSYf97fGvt16rquRmCqKuSfCArzz/6UIYHv85Ggnw6w8iLme3Wdhe6vBucZ/xbkpeN5xGfzxAkJavb7klJXpThIsl9q+ptGfrzN7TWzhyXOXGj9TjvpJP5dvu4rFzYS8bbkcbX72utPXWc97YM/fv5GUY5PibJ9F/y2vA4DwdDrQ6uOVBV1Vpr23U0wkGxDGXcyLKXfxEtc50uc9kX1bLX6cEqf1U9Msn1W2sC3S02X6fL3sYXkTpdLote34tePg7cdhsOCwCwparqZzNc7T99q7cFAFgsRsIcZMuQfC5DGTey7OVfRMtcp8tc9kW17HW67OVfREbCLD51ulwWvb4XvXwcOCNhAAAAADoQwgAAAAB0IIQBAAAA6EAIAwAAANCBEAYAAACgAyEMAAAAQAdCGAAAAIAOhDAAAAAAHQhhAAAAADoQwgAAAAB0IIQBAAAA6EAIAwAAANCBEAYAAACgAyEMAAAAQAeHbvUGLKKqalu9DZvssq3egK22BHW8bJa6TWvPC2ep23OiTS+gPdq0Ol44S99vLZsF34e1ZzZUrS1y+wcAAADYHtyOBAAAANCBEAYAAACgAyEMAAAAQAdCGAAAAIAOhDAAAAAAHQhhAAAAADoQwgAAAAB0IIQBAAAA6EAIAwAAANCBEAYAAACgAyEMAAAAQAdCGAAAAIAOhDAAAAAAHQhhAAAAADoQwgAAAAB0IIQBAAAA6EAIAwAAANCBEAYAAACgAyEMAAAAQAdCGAAAAIAOhDAAAAAAHQhhAAAAADoQwgAAAAB0IIQBAAAA6EA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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -466,9 +462,13 @@ "source": [ "![](https://imgs.xkcd.com/comics/name_dominoes_2x.png)\n", "\n", + "# What's Next?\n", + "\n", "I'm happy with the results, but here are some ideas for improvements, if you want something to work on:\n", "- Allow tiles that are 1 or 3 squares wide, like `('PRINCE',)` or `('FRANK', 'LLOYD', 'WRIGHT')`.\n", - "- Print names vertically in tiles that are placed vertically, and upside down for tiles that are placed horizontally, but with the first name on the right.\n" + "- Print names vertically in tiles that are placed vertically, and upside down for tiles that are placed horizontally, but with the first name on the right.\n", + "- Print shorter names with a bigger font and longer names with a smaller font.\n", + "- Download a bunch of names from Wikipedia and fill a 200 × 300 board.\n" ] } ], From 66663304dbc218f1f2b0bde9b23dabba25058b72 Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Tue, 27 Mar 2018 23:18:49 -0700 Subject: [PATCH 41/90] xkcd-Name-Dominoes.ipynb --- ipynb/xkcd-Name-Dominoes.ipynb | 203 +++++++++++++++------------------ 1 file changed, 93 insertions(+), 110 deletions(-) diff --git a/ipynb/xkcd-Name-Dominoes.ipynb b/ipynb/xkcd-Name-Dominoes.ipynb index 8f13dd7..186d205 100644 --- a/ipynb/xkcd-Name-Dominoes.ipynb +++ b/ipynb/xkcd-Name-Dominoes.ipynb @@ -16,30 +16,11 @@ "- **`Tile`**: a tile is a 2-element tuple of names, like `('TIM', 'COOK')`.\n", "The tile `('FRANK LLOYD', 'WRIGHT')` has a space in the first name.\n", "- **`Name`**: a name (first name or last name) is a string.\n", - "- **`Board(width, height)`**: a mapping of locations to names.\n", - "Initially, all width × height squares on the board are `empty`, but when we put a tile on the board,\n", - "the first name covers one location and the last name covers an adjacent location, e.g. `board[0, 0], board[0, 1] = ('TIM', 'COOK')`.\n", - "- **`Location`**: a location is an `(x, y)` pair of coordinates for a square on the board." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "empty = None # An empty square\n", + "- **`Board(width, height)`**: a `Board` represents\n", + "a width × height array of squares, initially `empty`, but when we put a tile on the board,\n", + "the first name covers one location and the last name covers an adjacent location, e.g. `board[0, 0], board[0, 1] = ('TIM', 'COOK')`. Implemented as a subtype of `dict` that keeps track of `width` and `height`.\n", + "- **`Location`**: a location is an `(x, y)` pair of coordinates for a square on the board.\n", "\n", - "class Board(dict):\n", - " \"A mapping from location to name.\"\n", - " def __init__(self, width=16, height=24): self.width, self.height = width, height\n", - " def __missing__(self, loc): return empty" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ "Now I need a strategy to fill the board with tiles. I will randomly place tiles one at a time, and to make things easier I will *not* consider removing a tile from the board and backtracking. Some more concepts and functions:\n", "\n", "- **`frontier`**: I'll maintain a *frontier*, a set of locations that are adjacent to tiles on the board, and thus are candidates for placing new tiles.\n", @@ -48,17 +29,26 @@ "- **`legal(name, loc, board)`**: a name can be placed if the location is empty, and there are no conflicts with any neighboring location.\n", "- **`neighbors(loc, board)`**: returns the (up to 4) neighbors of a location that are on the board.\n", "- **`put_tile(board, loc0, loc1, tile, frontier)`**: places a tile on the board across `loc0` and `loc`; update the `frontier` to say that the just-covered locations are no longer in the frontier, but the empty neighbors of the tile are.\n", - "- **`shuffle(items)`**: used to randomize lists; calls `random.shuffle` and returns the result." + "- **`shuffle(items)`**: used to randomize lists; calls `random.shuffle` and returns the result.\n", + "\n", + "# The Code" ] }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import random\n", "\n", + "empty = None # An empty square\n", + "\n", + "class Board(dict):\n", + " \"A mapping from location to name.\"\n", + " def __init__(self, width, height): self.width, self.height = width, height\n", + " def __missing__(self, loc): return empty\n", + "\n", "def dominoes(tiles, width=16, height=24):\n", " \"Place as many tiles on board as possible (legally and randomly).\"\n", " tiles = shuffle(list(tiles))\n", @@ -91,9 +81,8 @@ "def neighbors(loc, board):\n", " \"Neighbors of this location on the board.\"\n", " x, y = loc\n", - " nbrs = [(x, y+1), (x, y-1), (x+1, y), (x-1, y)]\n", - " return [(X, Y) for (X, Y) in nbrs\n", - " if 0 <= X < board.width and 0 <= Y < board.height]\n", + " return [(x+dx, y+dy) for (dx, dy) in ((0, 1), (1, 0), (0, -1), (-1, 0))\n", + " if 0 <= x+dx < board.width and 0 <= y+dy < board.height]\n", "\n", "def put_tile(board, loc0, loc1, tile, frontier): \n", " \"Place the tile across the two locations, and update frontier.\"\n", @@ -107,31 +96,27 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "{(0, 2): 'GR',\n", - " (0, 3): 'JO',\n", - " (1, 1): 'BO',\n", - " (1, 3): 'JO',\n", - " (1, 4): 'KE',\n", + "{(1, 0): 'RY',\n", + " (1, 3): 'RY',\n", + " (2, 0): 'JA',\n", " (2, 1): 'JA',\n", - " (2, 4): 'KE',\n", - " (2, 5): 'GR',\n", - " (3, 0): 'JA',\n", - " (3, 1): 'JA',\n", - " (3, 2): 'RY',\n", - " (3, 3): 'RY',\n", - " (3, 4): 'KE',\n", - " (4, 0): 'PO',\n", - " (4, 4): 'KE',\n", - " (5, 4): 'JA'}" + " (2, 3): 'KE',\n", + " (3, 1): 'KE',\n", + " (3, 2): 'KE',\n", + " (3, 3): 'KE',\n", + " (3, 4): 'JO',\n", + " (4, 2): 'GR',\n", + " (4, 4): 'JO',\n", + " (5, 4): 'GR'}" ] }, - "execution_count": 3, + "execution_count": 2, "metadata": {}, "output_type": "execute_result" } @@ -151,14 +136,14 @@ "\n", "There are two problems with this output. One, it is not visual. Two, it doesn't say where each tile is: when three names come together, which of the outside names goes with the middle name? To fix those two problems I will:\n", "\n", - "- Use `matplotlib` to plot a less-ugly display; encapsulate this in the function `plot_board(board)`.\n", + "- Define `plot_board(board)` to use `matplotlib` to plot the board and tiles.\n", "- Modify the `Board` class and the `put` function so that the board maintains a list of `boxes` that surround each two-location rectangle that a tile occupies. A box is a 4-tuple, `(x0, y0, x1, y1)`, holding the `x, y` coordinates\n", - "of the upper-left and lower-right corners of a box. The function `plot_box(box)` plots the rectangle. Note that in the new last line of `put_tile`, I add just `0.94`, not `1.0` to the size of the box; this way two adjacent tiles won't quite touch (as in the xkcd comic)." + "of the upper-left and lower-right corners of a box. The constant ϵ is the distance between two adjacent tiles; we want them to not-quite touch (as in the xkcd comic)." ] }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -167,29 +152,30 @@ "\n", "ϵ = 0.06 # A small amount; the space between adjacent lines\n", "\n", - "def plot_board(board, figsize=(16, 24)):\n", - " \"Plot the box and name for every tile, plus a big box around the board.\"\n", - " plt.figure(figsize=figsize)\n", - " plt.axis('off') \n", - " plt.axis('equal')\n", - " for box in board.boxes:\n", - " plot_box(box)\n", - " for (x, y) in board:\n", - " plt.text(x + 0.5, y + 0.3, board[x, y], ha='center', fontsize=8)\n", - " plot_box((-2*ϵ, -2*ϵ, figsize[0] + ϵ, figsize[1] + ϵ))\n", - "\n", - "def plot_box(box):\n", - " \"Plot a box.\"\n", - " x0, y0, x1, y1 = box\n", - " plt.plot([x0, x1, x1, x0, x0], \n", - " [y0, y0, y1, y1, y0], 'k-')\n", - " \n", "class Board(dict):\n", " \"A mapping from location to name.\"\n", " def __init__(self, width=16, height=24): \n", " self.width, self.height, self.boxes = width, height, []\n", " def __missing__(self, loc): return empty\n", " \n", + "def plot_board(board):\n", + " \"Plot the box and name for every tile, plus a big box around the board.\"\n", + " plt.figure(figsize=(board.width, board.height))\n", + " plt.subplots_adjust(left=ϵ, right=1-ϵ, top=1-ϵ, bottom=ϵ)\n", + " plt.axis('off') \n", + " plt.axis('equal')\n", + " for box in board.boxes:\n", + " plot_box(box)\n", + " for (x, y) in board:\n", + " plt.text(x + 0.5, y + 0.3, board[x, y], ha='center', fontsize=8)\n", + " plot_box((-2*ϵ, -2*ϵ, board.width + ϵ, board.height + ϵ))\n", + "\n", + "def plot_box(box):\n", + " \"Plot a box.\"\n", + " x0, y0, x1, y1 = box\n", + " plt.plot([x0, x1, x1, x0, x0], \n", + " [y0, y0, y1, y1, y0], 'k-')\n", + "\n", "def put_tile(board, loc0, loc1, tile, frontier): \n", " \"Place the tile across the two locations, and update frontier and boxes.\"\n", " board[loc0], board[loc1] = tile\n", @@ -203,14 +189,14 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 4, "metadata": {}, "outputs": [ { "data": { - "image/png": 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+ "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -218,7 +204,7 @@ } ], "source": [ - "plot_board(dominoes(tiles8, 6, 6), (6, 6))" + "plot_board(dominoes(tiles8, 6, 6))" ] }, { @@ -233,16 +219,16 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 5, "metadata": {}, "outputs": [], "source": [ - "def split_names(text):\n", + "def name_tiles(text):\n", " \"For each line of text, create a tile of ('First Name(s)', 'Lastname').\"\n", " return [name.strip().rpartition(' ')[0::2]\n", " for name in text.upper().split(',')]\n", " \n", - "xkcdtiles = split_names(\"\"\"Christian Campbell, Neve Campbell, Joe McCarthy, Eugene McCarthy, \n", + "xkcdtiles = name_tiles(\"\"\"Christian Campbell, Neve Campbell, Joe McCarthy, Eugene McCarthy, \n", " Gene Vincent, Gene Kelly, Kate Hudson, Rock Hudson, Gordon Brown, James Brown, Jon Brown, \n", " John Howard, Columbo, Chris Columbus, Christopher Columbus, Naomi Campbell, Joseph Campbell, \n", " Joseph Smith, Frank Vincent, John Kelly, Katherine Johnson, The Rock, Chris Rock, Chris Isaac, \n", @@ -253,7 +239,7 @@ " Oscar de la Renta, Oscar de la Hoya, Sean Hayes, Wallace Shawn, Wayne Howard, Wayne Brady, \n", " James Brady, Tom Brady, Helen Thomas, Tom Hanks, Hank Aaron, Aaron Carter, Stephen James, \n", " Will Smith, Kevin Smith, Kevin James, Garfield, James Garfield, Warren Buffett, Jimmy Buffett, \n", - " Warren Beatty, Elizabeth Warren, Earl Warren, Elizabeth Kolbert, Stephen Colbert, George Wallace,\n", + " Warren Beatty, Elizabeth Warren, Earl Warren, Elizabeth Kolbert, Stephen Colbert, \n", " Charles Wallace, James Monroe, Marilyn Monroe, Hank Williams, William C. Williams, Steve Harvey,\n", " Domino Harvey, Harvey Milk, James Saint James, Etta James, Jim Jones, James Earl Jones, \n", " Charlie Parker, Ray Parker, Ray Charles, Charles Manson, Marilyn Manson, Robin Williams, \n", @@ -284,12 +270,12 @@ " James Cameron, Cam Newton, Cameron Diaz, Huey Newton, Huey Lewis, John Lewis, Jenny Lewis, \n", " Ryan Lewis, Burt Reynolds, Alistair Cooke, Alistair Cookie, Cokie Roberts, John Roberts, \n", " Robert Johnson, Robert E. Lee, Tommy Lee, Tommy Lee Jones, Etta James, John Oliver, \n", - " Ryan Reynolds, Alastair Reynolds\"\"\")" + " Ryan Reynolds, Alastair Reynolds, George Wallace\"\"\")" ] }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 6, "metadata": {}, "outputs": [ { @@ -298,7 +284,7 @@ "270" ] }, - "execution_count": 7, + "execution_count": 6, "metadata": {}, "output_type": "execute_result" } @@ -309,24 +295,24 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "[('VAN', 'MORRISON'),\n", - " ('HARRY JON', 'BENJAMIN'),\n", - " ('AIMEE', 'MANN'),\n", - " ('JOE', 'MCCARTHY'),\n", - " ('JOHN', 'ADAMS'),\n", - " ('CHRIS', 'HEMSWORTH'),\n", - " ('EUGENE', 'MCCARTHY'),\n", - " ('OSCAR THE', 'GROUCH'),\n", - " ('SUPER', 'GROVER')]" + "[('JOHN', 'LEWIS'),\n", + " ('JOHN', 'EDWARDS'),\n", + " ('JIMMY', 'JOHN'),\n", + " ('AYN', 'RAND'),\n", + " ('WILLIAM C.', 'WILLIAMS'),\n", + " ('TIM', 'HOWARD'),\n", + " ('VAN', 'MORRISON'),\n", + " ('RON', 'HOWARD'),\n", + " ('WARREN', 'BEATTY')]" ] }, - "execution_count": 8, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" } @@ -351,13 +337,13 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "import collections\n", "\n", - "def synonyms(text, tiles=()): \n", + "def synonyms(text='', tiles=()): \n", " \"synonyms('AMY=AIMEE') => dict(AMY={'AMY', 'AIMEE'}, AIMEE={'AMY', 'AIMEE'})\"\n", " synsets = collections.defaultdict(set)\n", " # Process `text`\n", @@ -367,17 +353,16 @@ " synsets[s] |= synset\n", " # Process `tiles`\n", " for (first, last) in tiles:\n", - " if ' ' in first:\n", - " for piece in first.split():\n", - " synsets[piece].add(first)\n", - " synsets[first].add(piece)\n", + " for part in first.split():\n", + " synsets[part].add(first)\n", + " synsets[first].add(part)\n", " return synsets\n", "\n", "synsets = synonyms(\"\"\"AMY=AIMEE, COOK=COOKE=COOKIE=COKIE, ALASTAIR=ALISTAIR, \n", " COLUMBO=COLUMBUS, SAFIRE=SAPPHIRE=GARNET, GARNET=RUBY, CHARLIE=CHARLES, SEAN=SHAWN,\n", " JIMMY=JAMES, MAN=MANN, JACK=JOHN, TOM=TOMMY, WILL=WILLIAM=WILLIAMS, ROBERT=ROBERTS=BOB, \n", " CAM=CAMERON, OLIVER=OLIVIA, EDWARD=EDWARDS, RICH=RICHARD, CHRIS=CHRISTOPHER=TOPHER, \n", - " FAT=FATS=FATTY, WALT=WALTER, HANK=HANKS, CROW=CROWE\"\"\", xkcdtiles)" + " FAT=FATS=FATTY, WALT=WALTER, HANK=HANKS, CROW=CROWE, COLBERT=KOLBERT\"\"\", xkcdtiles)" ] }, { @@ -386,25 +371,22 @@ "collapsed": true }, "source": [ - "To make this work, I update `legal` to call the new function `match_neighbor` for each neighbor; this checks for empties and exact matches just like before, but it also consults the `synsets` global variable for an approximate or partial match, and it disallows a match between the empty first name of \"PRINCE\" with the empty first name of \"DRAKE\"." + "To make this work, I update `legal` to consult the `synsets` global variable for an approximate or partial matches, and while I'm changing `legal`, I'll also disallow a match between the empty first name of \"PRINCE\" with the empty first name of \"DRAKE\"." ] }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "def legal(name, loc, board):\n", " \"Is it legal to place this value on this location on board?\"\n", - " return (board[loc] is empty and\n", - " all(match_neighbor(name, board[nbr]) for nbr in neighbors(loc, board)))\n", - "\n", - "def match_neighbor(name, nbrval):\n", - " \"Does this name match the neighbor's value?\"\n", - " return (nbrval is empty or \n", - " nbrval == name != '' or\n", - " nbrval in synsets[name])" + " return (board[loc] is empty and \n", + " all(board[nbr] is empty \n", + " or board[nbr] == name != '' \n", + " or board[nbr] in synsets[name]\n", + " for nbr in neighbors(loc, board)))" ] }, { @@ -413,16 +395,17 @@ "source": [ "# Random Restart\n", "\n", - "The program sometimes gets stuck after placing a relatively small number of tiles. I could modify the program to *back up* in this case, but it will be easier to just *give up* and restart with an empty board. I can restart multiple times, and accept the board on which the most tiles were placed. The function `restart_dominoes` does this. " + "The program sometimes gets stuck after placing relatively few tiles. I could modify the program to *back up* in this case, but it will be easier to just *give up* and restart with an empty board. I can restart multiple times, and accept the board on which the most tiles were placed:" ] }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "def restart_dominoes(tiles, width=16, height=24, restarts=100):\n", + " \"Call dominoes `restarts` times; return the board with the most boxes.\"\n", " return max((dominoes(tiles, width, height) for _ in range(restarts)), \n", " key=lambda board: len(board.boxes))" ] @@ -433,19 +416,19 @@ "source": [ "# Final Results\n", "\n", - "Let's see what we can generate, and compare it to the original comic. *Note:* By default, I'm using a 16×24 square board; the xkcd comic uses 27×35, but if I try to fit that many then each tile will be smaller, and the names overflow the sides of the dominoes too much. (As it is, only a few names overflow.)" + "Here is a large board, which you can compare to the original comic. *Note:* I used a 16×24 square board while the xkcd comic used 27×35, but if I tried to fit that many then each tile would be smaller, and the names would overflow the sides of the dominoes too much. (As it is, only a few names overflow.)" ] }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 11, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, From f0e1a60d9947f15ee76dc0a1ce9864648601bce2 Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Wed, 28 Mar 2018 22:03:31 -0700 Subject: [PATCH 42/90] Delete xkxd-part3.ipynb --- ipynb/xkxd-part3.ipynb | 428 ----------------------------------------- 1 file changed, 428 deletions(-) delete mode 100644 ipynb/xkxd-part3.ipynb diff --git a/ipynb/xkxd-part3.ipynb b/ipynb/xkxd-part3.ipynb deleted file mode 100644 index e2388b4..0000000 --- a/ipynb/xkxd-part3.ipynb +++ /dev/null @@ -1,428 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "def partition(covers):\n", - " # covers: {w: {r,...}}\n", - " # invcovers: {r: {w,...}}\n", - " pass\n", - "\n", - "def connected(w, covers, invcovers, result):\n", - " if w not in result:\n", - " result.add(w)\n", - " for r in covers[w]:\n", - " for w2 in invcovers[r]:\n", - " connected(w2, covers, invcovers, result)\n", - " return result\n", - "\n", - "for (W, L, legend) in ALL:\n", - " covers = eliminate_dominated(regex_covers(W, L))\n", - " invcovers = invert_multimap(covers)\n", - " start = list(covers)[2]\n", - " P = connected(start, covers, invcovers, set())\n", - " print legend, len(P), len(covers), len(covers)-len(P)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Finding Shorter Regexes: Trying Multiple Times\n", - "----\n", - " \n", - "Why run just two versions of `findregex`? Why not run 1000 variations, and then pick the best solution? Of course, I don't want to write 1000 different functions by hand; I want an automated way of varying each run. I can think of three easy things to vary:\n", - " \n", - "* The number '4' in the `score` function. That is, vary the tradeoff between number of winners matched and number of characters.\n", - "* The tie-breaker. In case of a tie, Python's `max` function always picks the first one. Let's make it choose a different 'best' regex from among all those that tie.\n", - "* The greediness. Don't be so greedy (picking the best) every time. Occasionally pick a not-quite-best component, and see if that works out better.\n", - " \n", - "The first of these is easy; we just use the `random.choice` function to choose an integer, `K`, to serve as the tradeoff factor. \n", - "\n", - "The second is easy too. We could write an alternative to the `max` function, say `max_random_tiebreaker`. That would work, but an easier approach is to build the tiebreaker into the `score` function. In addition to awarding points for matching winners and the number of characters, we will have add in a tiebreaker: a random number between 0 and 1. Since all the scores are otherwise integers, this will not change the order of the scores, but it will break ties.\n", - "\n", - "The third we can accomplish by allowing the random factor to be larger than 1 (allowing us to pick a component that is not the shortest) or even larger than `K` (allowing us to pick a component that does not cover the most winners). \n", - " \n", - "I will factor out the function `greedy_search` to do a single computation oof a covering regex, while keeping the name `findregex` for the top level function that now calls `greedy_search` 1000 times and chooses the best (shortest length) result." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "def findregex(winners, losers, tries=1000):\n", - " \"Find a regex that matches all winners but no losers (sets of strings).\"\n", - " # Repeatedly call 'findregex1' the given number of tries; pick the shortest result\n", - " covers = regex_covers(winners, losers)\n", - " results = [greedy_search(winners, covers) for _ in range(tries)]\n", - " return min(results, key=len)\n", - "\n", - "def greedy_search(winners, covers):\n", - " # On each iteration, add the 'best' component in covers to 'result',\n", - " # remove winners covered by best, and remove from 'pool' any components\n", - " # that no longer match any remaining winners.\n", - " winners = set(winners) # Copy input so as not to modify it.\n", - " pool = set(covers)\n", - " result = []\n", - " \n", - " def matches(regex, strings): return {w for w in covers[regex] if w in strings}\n", - " \n", - " K = random.choice((2, 3, 4, 4, 5, 6))\n", - " T = random.choice((1., 1.5, 2., K+1., K+2.))\n", - " def score(c): \n", - " return K * len(matches(c, winners)) - len(c) + random.uniform(0., T)\n", - " \n", - " while winners:\n", - " best = max(pool, key=score)\n", - " result.append(best)\n", - " winners -= covers[best]\n", - " pool -= {c for c in pool if covers[c].isdisjoint(winners)}\n", - " return OR(result)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "def factorial1(n):\n", - " if (n <= 1):\n", - " return 1\n", - " else:\n", - " return n * factorial1(n-1)\n", - "\n", - "def factorial2(n, partial_solution=1):\n", - " if (n <= 1):\n", - " return partial_solution\n", - " else:\n", - " return factorial2(n-1, n * partial_solution)\n", - " \n", - "assert factorial1(6) == factorial2(6) == 720" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "def findregex(winners, losers, calls=100000):\n", - " \"Find the shortest disjunction of regex components that covers winners but not losers.\"\n", - " covers = regex_covers(winners, losers)\n", - " best = '^(' + OR(winners) + ')$'\n", - " state = Struct(best=best, calls=calls)\n", - " return bb_search('', covers, state).best\n", - "\n", - "def bb_search(regex, covers, state):\n", - " \"\"\"Recursively build a shortest regex from the components in covers.\"\"\"\n", - " if state.calls > 0:\n", - " state.calls -= 1\n", - " regex, covers = simplify_covers(regex, covers)\n", - " if not covers:\n", - " state.best = min(regex, state.best, key=len)\n", - " elif len(OR2(regex, min(covers, key=len))) < len(state.best):\n", - " # Try with and without the greedy-best component\n", - " def score(c): return 4 * len(covers[c]) - len(c)\n", - " best = max(covers, key=score)\n", - " covered = covers[best]\n", - " covers.pop(best)\n", - " bb_search(OR2(regex, best), {c:covers[c]-covered for c in covers}, state)\n", - " bb_search(regex, covers, state)\n", - " return state\n", - "\n", - "class Struct(object):\n", - " \"A mutable structure with specified fields and values.\"\n", - " def __init__(self, **kwds): vars(self).update(kwds)\n", - " def __repr__(self): return '<%s>' % vars(self)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "def findregex(winners, losers, calls=100000):\n", - " \"Find the shortest disjunction of regex components that covers winners but not losers.\"\n", - " covers = regex_covers(winners, losers)\n", - " solution = '^(' + OR(winners) + ')$'\n", - " solution, calls = bb_search('', covers, solution, calls)\n", - " return solution\n", - "\n", - "def bb_search(regex, covers, solution, calls):\n", - " \"\"\"Recursively build a shortest regex from the components in covers.\"\"\"\n", - " if calls > 0:\n", - " calls -= 1\n", - " regex, covers = simplify_covers(regex, covers)\n", - " if not covers: # Solution is complete\n", - " solution = min(regex, solution, key=len)\n", - " elif len(OR2(regex, min(covers, key=len))) < len(solution):\n", - " # Try with and without the greedy-best component\n", - " def score(c): return 4 * len(covers[c]) - len(c)\n", - " r = max(covers, key=score) # Best component\n", - " covered = covers[r] # Set of winners covered by r\n", - " covers.pop(r)\n", - " solution, calls = bb_search(OR2(regex, r), \n", - " {c:covers[c]-covered for c in covers}, \n", - " solution, calls)\n", - " solution, calls = bb_search(regex, covers, solution, calls)\n", - " return solution, calls" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "def findregex(winners, losers, calls=100000):\n", - " \"Find the shortest disjunction of regex components that covers winners but not losers.\"\n", - " global SOLUTION, CALLS\n", - " SOLUTION = '^(' + OR(winners) + ')$'\n", - " CALLS = calls\n", - " return bb_search(None, regex_covers(winners, losers))\n", - "\n", - "def bb_search(regex, covers):\n", - " \"\"\"Recursively build a shortest regex from the components in covers.\"\"\"\n", - " global SOLUTION, CALLS\n", - " CALLS -= 1\n", - " regex, covers = simplify_covers(regex, covers)\n", - " if not covers: # Solution is complete\n", - " SOLUTION = min(regex, SOLUTION, key=len)\n", - " elif CALLS >= 0 and len(OR(regex, min(covers, key=len))) < len(SOLUTION):\n", - " # Try with and without the greedy-best component\n", - " def score(c): return 4 * len(covers[c]) - len(c)\n", - " r = max(covers, key=score) # Best component\n", - " covered = covers[r] # Set of winners covered by r\n", - " covers.pop(r)\n", - " bb_search(OR(regex, r), {c:covers[c]-covered for c in covers})\n", - " bb_search(regex, covers)\n", - " return SOLUTION\n", - " \n", - "def OR(*regexes):\n", - " \"OR together regexes. Ignore 'None' components.\"\n", - " return '|'.join(r for r in regexes if r is not None)\n", - "\n", - "\n", - "def invert_multimap(multimap):\n", - " result = collections.defaultdict(list)\n", - " for key in multimap:\n", - " for val in multimap[key]:\n", - " result[val].append(key)\n", - " return result" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "## For debugging\n", - "\n", - "def findregex(winners, losers, calls=100000):\n", - " \"Find the shortest disjunction of regex components that covers winners but not losers.\"\n", - " solution = '^(' + OR(winners) + ')$'\n", - " covers = regex_covers(winners, losers)\n", - " b = BranchBound(solution, calls)\n", - " b.search(None, covers)\n", - " print b.calls, 'calls', len(b.solution), 'len'\n", - " return b.solution\n", - "\n", - "\n", - "def triage_covers(partial, covers):\n", - " \"Simplify covers by eliminating dominated regexes, and picking ones that uniquely cover a winner.\"\n", - " previous = None\n", - " while covers != previous:\n", - " previous = covers\n", - " # Eliminate regexes that are dominated by another regex\n", - " covers = eliminate_dominated(covers) # covers = {regex: {winner,...}}\n", - " coverers = invert_multimap(covers) # coverers = {winner: {regex,...}}\n", - " # For winners covered by only one component, move winner from covers to regex\n", - " singletons = {coverers[w][0] for w in coverers if len(coverers[w]) == 1}\n", - " if singletons:\n", - " partial = OR(partial, OR(singletons))\n", - " covered = {w for c in singletons for w in covers[c]}\n", - " covers = {c:covers[c]-covered for c in covers if c not in singletons}\n", - " return partial, covers\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - ", and to , who suggested looking at [WFSTs](http://www.openfst.org/twiki/bin/view/FST/WebHome)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "def regex_covers(winners, losers):\n", - " \"\"\"Generate regex components and return a dict of {regex: {winner...}}.\n", - " Each regex matches at least one winner and no loser.\"\"\"\n", - " losers_str = '\\n'.join(losers)\n", - " wholes = {'^'+winner+'$' for winner in winners}\n", - " parts = {d for w in wholes for p in subparts(w) for d in dotify(p)}\n", - " chars = set(cat(winners))\n", - " pairs = {A+'.'+rep_char+B for A in chars for B in chars for rep_char in '+*?'}\n", - " reps = {r for p in parts for r in repetitions(p)}\n", - " pool = wholes | parts | pairs | reps \n", - " searchers = [re.compile(c, re.MULTILINE).search for c in pool]\n", - " covers = {r: set(filter(searcher, winners)) \n", - " for (r, searcher) in zip(pool, searchers)\n", - " if not searcher(losers_str)}\n", - " covers = eliminate_dominated(covers)\n", - " return covers\n", - " return add_character_class_components(covers)\n", - "\n", - "def add_character_class_components(covers):\n", - " for (B, Ms, E) in combine_splits(covers):\n", - " N = len(Ms)\n", - " or_size = N*len(B+'.'+E) + N-1 # N=3 => 'B1E|B2E|B3E'\n", - " class_size = len(B+'[]'+E) + N # N=3 => 'B[123]E'\n", - " winners = {w for m in Ms for w in Ms[m]}\n", - " if class_size < or_size:\n", - " covers[B + make_char_class(Ms) + E] = winners\n", - " return covers\n", - "\n", - "def split3(word):\n", - " \"Splits a word into 3 parts, all ways, with middle part having 0 or 1 character.\"\n", - " return [(word[:i], word[i:i+L], word[i+L:]) \n", - " for i in range(len(word)+1) for L in (0, 1)\n", - " if not word[i:i+L].startswith(('.', '+', '*', '?'))]\n", - "\n", - "def combine_splits(covers):\n", - " \"Convert covers = {BME: {w...}} into a list of [(B, {M...}, E, {w...}].\"\n", - " table = collections.defaultdict(dict) # table = {(B, E): {M: {w...}}}\n", - " for r in covers:\n", - " for (B, M, E) in split3(r):\n", - " table[B, E][M] = covers[r]\n", - " return [(B, Ms, E) for ((B, E), Ms) in table.items()\n", - " if len(Ms) > 1]\n", - "\n", - "def make_char_class(chars):\n", - " chars = set(chars)\n", - " return '[%s]%s' % (cat(chars), ('?' if '' in chars else ''))\n", - "\n", - "covers = regex_covers(boys, girls)\n", - "old = set(covers)\n", - "print len(covers)\n", - "covers = add_character_class_components(covers)\n", - "print len(covers)\n", - "print set(covers) - old\n", - "\n", - "print dict(combine_splits({'..a': {1,2,3}, '..b': {4,5,6}, '..c':{7}}))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Consider the two components `'..a'` and `'..b'`. If we wanted to cover all the winners that both of these match, we could use `'..a|..b'`, or we could share the common prefix and introduce a *character class* to get `'..[ab]'`. Since the former is 7 characters and the later is only 6, the later would be preferred. It would be an even bigger win to replace `'..az|..bz|..cz'` with `'..[abc]z'`; that reduces the count from 14 to 8. Similarly, replacing `'..az|..bz|..z'` with `'..[ab]?z'` saves 5 characters.\n", - "\n", - "There seems to be potential savings with character classes. But how do we know which characters from which components to combine into classes? To keep things from getting out of control, I'm going to only look at components that are left after we eliminate dominated. That is not an ideal approach—there may well be some components that are dominated on their own, but could be part of an optimal solution when combined with other components into a character class. But I'm going to keep it simple." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "\n", - "Searching: Better Bounds\n", - "----\n", - "\n", - "Branch and bound prunes the search tree whenever it is on a branch that is guaranteed to result in a solution that is no better than the best solution found so far. Currently we estimate the best possible solution along the current branch by taking the length of the partial solution and adding the length of the shortest component in `covers`. We do that because we know for sure that we need at least one component, but we don't know for sure how many components we'll need (nor how long each of them will be. So our estimate is often severely underestimates the true answer, which means we don't cut off search some places where we could, if only we had a better estimate.\n", - " \n", - "Here's one way to get a better bound. We'll define the following quantities:\n", - "\n", - "+ *P* = the length of the partial solution, plus the \"|\", if needed. So if the partial solution is `None`, then *P* will be zero, otherwise *P* is the length plus 1.\n", - "+ *S* = the length of the shortest regex component in `covers`.\n", - "+ *W* = the number of winners still in `covers`.\n", - "+ *C* = the largest number of winners covered by any regex in `covers`.\n", - "\n", - "If we assume The current estimate is *P* + *S*. We can see that a better estimate is *P* + *S* × ceil(*W* / *C*)." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "import math\n", - "\n", - "class BranchBound(object):\n", - " \"Hold state information for a branch and bound search.\"\n", - " def __init__(self, solution, calls):\n", - " self.solution, self.calls = solution, calls\n", - " \n", - " def search(self, covers, partial=None):\n", - " \"Recursively extend partial regex until it matches all winners in covers.\"\n", - " if self.calls <= 0: \n", - " return self.solution\n", - " self.calls -= 1\n", - " covers, partial = simplify_covers(covers, partial)\n", - " if not covers: # Nothing left to cover; solution is complete\n", - " self.solution = min(partial, self.solution, key=len)\n", - " else:\n", - " P = 0 if not partial else len(partial) + 1\n", - " S = len(min(covers, key=len))\n", - " C = max(len(covers[r]) for r in covers)\n", - " W = len(set(w for r in covers for w in covers[r]))\n", - " if P + S * math.ceil(W / C) < len(self.solution):\n", - " # Try with and without the greedy-best component\n", - " def score(r): return 4 * len(covers[r]) - len(r)\n", - " r = max(covers, key=score) # Best component\n", - " covered = covers[r] # Set of winners covered by r\n", - " covers.pop(r)\n", - " self.search({c:covers[c]-covered for c in covers}, OR(partial, r))\n", - " self.search(covers, partial)\n", - " return self.solution" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.5.0" - } - }, - "nbformat": 4, - "nbformat_minor": 0 -} From 3b0c4cac22698be25811779aed3baf5d9a63e27d Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Wed, 28 Mar 2018 22:20:05 -0700 Subject: [PATCH 43/90] xkcd-Name-Dominoes.ipynb --- ipynb/xkcd-Name-Dominoes.ipynb | 98 +++++++++++++++------------------- 1 file changed, 43 insertions(+), 55 deletions(-) diff --git a/ipynb/xkcd-Name-Dominoes.ipynb b/ipynb/xkcd-Name-Dominoes.ipynb index 186d205..02cb49f 100644 --- a/ipynb/xkcd-Name-Dominoes.ipynb +++ b/ipynb/xkcd-Name-Dominoes.ipynb @@ -102,18 +102,22 @@ { "data": { "text/plain": [ - "{(1, 0): 'RY',\n", + "{(0, 0): 'GR',\n", + " (0, 1): 'KE',\n", + " (0, 2): 'KE',\n", + " (0, 3): 'RY',\n", + " (1, 0): 'GR',\n", " (1, 3): 'RY',\n", - " (2, 0): 'JA',\n", - " (2, 1): 'JA',\n", - " (2, 3): 'KE',\n", + " (1, 4): 'JA',\n", + " (2, 0): 'JO',\n", + " (2, 4): 'JA',\n", + " (2, 5): 'KE',\n", + " (3, 0): 'JO',\n", " (3, 1): 'KE',\n", - " (3, 2): 'KE',\n", - " (3, 3): 'KE',\n", - " (3, 4): 'JO',\n", - " (4, 2): 'GR',\n", - " (4, 4): 'JO',\n", - " (5, 4): 'GR'}" + " (3, 3): 'BO',\n", + " (3, 4): 'JA',\n", + " (4, 4): 'JA',\n", + " (5, 4): 'PO'}" ] }, "execution_count": 2, @@ -134,9 +138,9 @@ "source": [ "# Pretty Output\n", "\n", - "There are two problems with this output. One, it is not visual. Two, it doesn't say where each tile is: when three names come together, which of the outside names goes with the middle name? To fix those two problems I will:\n", + "Technically, this is a legal solution, but there are two problems with it: One, it is not visual. Two, it doesn't say where each tile is: when three names come together, which of the outside names goes with the middle name? To fix those two problems I will:\n", "\n", - "- Define `plot_board(board)` to use `matplotlib` to plot the board and tiles.\n", + "- Define `plot_board(board)` to use `matplotlib` to plot the board, the names, and the tiles.\n", "- Modify the `Board` class and the `put` function so that the board maintains a list of `boxes` that surround each two-location rectangle that a tile occupies. A box is a 4-tuple, `(x0, y0, x1, y1)`, holding the `x, y` coordinates\n", "of the upper-left and lower-right corners of a box. The constant ϵ is the distance between two adjacent tiles; we want them to not-quite touch (as in the xkcd comic)." ] @@ -182,9 +186,8 @@ " frontier -= {loc0, loc1}\n", " frontier |= {loc for loc in neighbors(loc0, board) + neighbors(loc1, board)\n", " if board[loc] is empty}\n", - " (x0, y0), (x1, y1) = loc0, loc1\n", - " board.boxes.append((min(x0, x1), min(y0, y1), \n", - " max(x0, x1) + 1 - ϵ, max(y0, y1) + 1 - ϵ)) " + " Xs, Ys = {loc0[0], loc1[0]}, {loc0[1], loc1[1]}\n", + " board.boxes.append((min(Xs), min(Ys), max(Xs) + 1 - ϵ, max(Ys) + 1 - ϵ)) " ] }, { @@ -194,9 +197,9 @@ "outputs": [ { "data": { - "image/png": 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BAmCEAAEwQoAAGCFAAIwQIABGCBAAIwQIgBECBMAIAQJghAABMEKAABghQACMECAARggQACMECIARAgTACAECYIQAATBCgAAYIUAAjBAgAEYIEAAjBAiAEQIEwAgBAmCEAAEwQoAAGCFAAIwQIABGCBAAIwQIgBECBMAIAQJghAABMEKAABghQACMECAARggQACMECIARAgTACAECYIQAATBCgAAYIUAAjBAgAEYIEAAjBAiAEQIEwAgBAmCEAAEwQoAAGCFAAIwQIABGCBAAIwQIgBECBMAIAQJghAABMEKAABghQACM+H9EuI8PTMF7GAAAAABJRU5ErkJggg==\n", + "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -301,15 +304,16 @@ { "data": { "text/plain": [ - "[('JOHN', 'LEWIS'),\n", - " ('JOHN', 'EDWARDS'),\n", - " ('JIMMY', 'JOHN'),\n", - " ('AYN', 'RAND'),\n", - " ('WILLIAM C.', 'WILLIAMS'),\n", - " ('TIM', 'HOWARD'),\n", - " ('VAN', 'MORRISON'),\n", - " ('RON', 'HOWARD'),\n", - " ('WARREN', 'BEATTY')]" + "[('JAMES', 'COOK'),\n", + " ('ISAAC', 'HAYES'),\n", + " ('MARTHA', 'WASHINGTON'),\n", + " ('JAMES', 'MONROE'),\n", + " ('HANK', 'WILLIAMS'),\n", + " ('LANGSTON', 'HUGHES'),\n", + " ('WARREN', 'BUFFETT'),\n", + " ('ROBIN', 'WILLIAMS'),\n", + " ('JAMES', 'BRADY'),\n", + " ('OSCAR DE LA', 'RENTA')]" ] }, "execution_count": 7, @@ -318,7 +322,7 @@ } ], "source": [ - "random.sample(xkcdtiles, 9)" + "random.sample(xkcdtiles, 10)" ] }, { @@ -393,42 +397,21 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Random Restart\n", + "# Final Result (with Random Restart)\n", "\n", - "The program sometimes gets stuck after placing relatively few tiles. I could modify the program to *back up* in this case, but it will be easier to just *give up* and restart with an empty board. I can restart multiple times, and accept the board on which the most tiles were placed:" + "The program sometimes gets stuck after placing relatively few tiles. I could modify the program to *back up* in this case, but it will be easier to just *give up* and restart with an empty board. I can restart multiple times, and accept the best board (the one on which the most tiles were placed):" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, - "outputs": [], - "source": [ - "def restart_dominoes(tiles, width=16, height=24, restarts=100):\n", - " \"Call dominoes `restarts` times; return the board with the most boxes.\"\n", - " return max((dominoes(tiles, width, height) for _ in range(restarts)), \n", - " key=lambda board: len(board.boxes))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Final Results\n", - "\n", - "Here is a large board, which you can compare to the original comic. *Note:* I used a 16×24 square board while the xkcd comic used 27×35, but if I tried to fit that many then each tile would be smaller, and the names would overflow the sides of the dominoes too much. (As it is, only a few names overflow.)" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -436,14 +419,18 @@ } ], "source": [ - "plot_board(restart_dominoes(xkcdtiles))" + "def best(boards): return max(boards, key=lambda board: len(board.boxes))\n", + "\n", + "plot_board(best(dominoes(xkcdtiles) for _ in range(100)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "![](https://imgs.xkcd.com/comics/name_dominoes_2x.png)\n", + "*Note:* I used a 16×24 square board while the xkcd comic used 27×35, but if I tried to fit 27 squares across then each tile would be smaller, and many names would overflow the sides of the dominoes too much. Here is the original xkcd comic:\n", + "\n", + "[![](https://imgs.xkcd.com/comics/name_dominoes_2x.png)](https://xkcd.com/1970/)\n", "\n", "# What's Next?\n", "\n", @@ -451,7 +438,8 @@ "- Allow tiles that are 1 or 3 squares wide, like `('PRINCE',)` or `('FRANK', 'LLOYD', 'WRIGHT')`.\n", "- Print names vertically in tiles that are placed vertically, and upside down for tiles that are placed horizontally, but with the first name on the right.\n", "- Print shorter names with a bigger font and longer names with a smaller font.\n", - "- Download a bunch of names from Wikipedia and fill a 200 × 300 board.\n" + "- Download a bunch of names from Wikipedia and fill a 200 × 300 board.\n", + "- If you like xkcd try [regex golf](https://github.com/norvig/pytudes/blob/master/ipynb/xkcd1313.ipynb), and [part 2](https://github.com/norvig/pytudes/blob/master/ipynb/xkcd1313-part2.ipynb).\n" ] } ], From 8a3368d21a47ca4d810ef49529db5c85c97ed885 Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Wed, 28 Mar 2018 22:46:06 -0700 Subject: [PATCH 44/90] xkcd-Name-Dominoes.ipynb --- ipynb/xkcd-Name-Dominoes.ipynb | 69 ++++++++++++++++------------------ 1 file changed, 32 insertions(+), 37 deletions(-) diff --git a/ipynb/xkcd-Name-Dominoes.ipynb b/ipynb/xkcd-Name-Dominoes.ipynb index 02cb49f..03c944b 100644 --- a/ipynb/xkcd-Name-Dominoes.ipynb +++ b/ipynb/xkcd-Name-Dominoes.ipynb @@ -102,22 +102,16 @@ { "data": { "text/plain": [ - "{(0, 0): 'GR',\n", - " (0, 1): 'KE',\n", - " (0, 2): 'KE',\n", - " (0, 3): 'RY',\n", - " (1, 0): 'GR',\n", - " (1, 3): 'RY',\n", - " (1, 4): 'JA',\n", - " (2, 0): 'JO',\n", - " (2, 4): 'JA',\n", - " (2, 5): 'KE',\n", - " (3, 0): 'JO',\n", - " (3, 1): 'KE',\n", - " (3, 3): 'BO',\n", - " (3, 4): 'JA',\n", - " (4, 4): 'JA',\n", - " (5, 4): 'PO'}" + "{(0, 0): 'RY',\n", + " (1, 0): 'KE',\n", + " (1, 1): 'KE',\n", + " (2, 1): 'JO',\n", + " (2, 2): 'JO',\n", + " (3, 2): 'GR',\n", + " (3, 3): 'GR',\n", + " (3, 4): 'KE',\n", + " (4, 4): 'KE',\n", + " (4, 5): 'JA'}" ] }, "execution_count": 2, @@ -141,8 +135,7 @@ "Technically, this is a legal solution, but there are two problems with it: One, it is not visual. Two, it doesn't say where each tile is: when three names come together, which of the outside names goes with the middle name? To fix those two problems I will:\n", "\n", "- Define `plot_board(board)` to use `matplotlib` to plot the board, the names, and the tiles.\n", - "- Modify the `Board` class and the `put` function so that the board maintains a list of `boxes` that surround each two-location rectangle that a tile occupies. A box is a 4-tuple, `(x0, y0, x1, y1)`, holding the `x, y` coordinates\n", - "of the upper-left and lower-right corners of a box. The constant ϵ is the distance between two adjacent tiles; we want them to not-quite touch (as in the xkcd comic)." + "- Modify the `Board` class and the `put` function so that the board maintains a list of `boxes` that surround each two-location rectangle that a tile occupies: `[loc0, loc1]`. The constant ϵ is the distance between two adjacent tiles; we want them to not-quite touch (as in the xkcd comic)." ] }, { @@ -170,13 +163,16 @@ " plt.axis('equal')\n", " for box in board.boxes:\n", " plot_box(box)\n", + " plot_box([(-2*ϵ, -2*ϵ), (board.width - 1 + 2*ϵ, board.height - 1 + 2*ϵ)])\n", " for (x, y) in board:\n", - " plt.text(x + 0.5, y + 0.3, board[x, y], ha='center', fontsize=8)\n", - " plot_box((-2*ϵ, -2*ϵ, board.width + ϵ, board.height + ϵ))\n", + " plt.text(x + 0.5, y + 0.5, board[x, y], \n", + " va='center', ha='center', fontsize=8)\n", "\n", "def plot_box(box):\n", - " \"Plot a box.\"\n", - " x0, y0, x1, y1 = box\n", + " \"Plot a box, which is a [loc0, loc1] pair.\"\n", + " Xs, Ys = {loc[0] for loc in box}, {loc[1] for loc in box}\n", + " x0, x1 = min(Xs), max(Xs) + 1 - ϵ\n", + " y0, y1 = min(Ys), max(Ys) + 1 - ϵ\n", " plt.plot([x0, x1, x1, x0, x0], \n", " [y0, y0, y1, y1, y0], 'k-')\n", "\n", @@ -186,8 +182,7 @@ " frontier -= {loc0, loc1}\n", " frontier |= {loc for loc in neighbors(loc0, board) + neighbors(loc1, board)\n", " if board[loc] is empty}\n", - " Xs, Ys = {loc0[0], loc1[0]}, {loc0[1], loc1[1]}\n", - " board.boxes.append((min(Xs), min(Ys), max(Xs) + 1 - ϵ, max(Ys) + 1 - ϵ)) " + " board.boxes.append([loc0, loc1]) " ] }, { @@ -197,9 +192,9 @@ "outputs": [ { "data": { - "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -304,16 +299,16 @@ { "data": { "text/plain": [ - "[('JAMES', 'COOK'),\n", + "[('JAMES EARL', 'RAY'),\n", + " ('BURT', 'REYNOLDS'),\n", + " ('CHRISTOPHER', 'COLUMBUS'),\n", + " ('KRISTEN', 'STEWART'),\n", + " ('FAT', 'JOE'),\n", + " ('HAROLD', 'LLOYD'),\n", " ('ISAAC', 'HAYES'),\n", - " ('MARTHA', 'WASHINGTON'),\n", - " ('JAMES', 'MONROE'),\n", - " ('HANK', 'WILLIAMS'),\n", - " ('LANGSTON', 'HUGHES'),\n", - " ('WARREN', 'BUFFETT'),\n", - " ('ROBIN', 'WILLIAMS'),\n", - " ('JAMES', 'BRADY'),\n", - " ('OSCAR DE LA', 'RENTA')]" + " ('PAUL', 'RYAN'),\n", + " ('GENE', 'KELLY'),\n", + " ('MEGYN', 'KELLY')]" ] }, "execution_count": 7, @@ -409,9 +404,9 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, From b5835b6fad84277c3f0d07699a89753fc6f2c622 Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Mon, 2 Apr 2018 21:15:05 -0700 Subject: [PATCH 45/90] Add files via upload --- data/latlong.htm | 1475 ++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 1475 insertions(+) create mode 100644 data/latlong.htm diff --git a/data/latlong.htm b/data/latlong.htm new file mode 100644 index 0000000..be1bbc2 --- /dev/null +++ b/data/latlong.htm @@ -0,0 +1,1475 @@ + + +Latitude-Longitude of US Cities (www.realestate3d.com) + +

Latitude-Longitude of US Cities (www.realestate3d.com)

+
+ +Notes: + + +
+

United States

+ +
    +
  • Alabama +
  • Alaska +
  • Arizona +
  • Arkansas +
  • California +
  • Colorado +
  • Connecticut +
  • Delaware +
  • District of Columbia +
  • Florida +
  • Georgia +
  • Hawaii +
  • Idaho +
  • Illinois +
  • Indiana +
  • Iowa +
  • Kansas +
  • Kentucky +
  • Louisiana +
  • Maine +
  • Maryland +
  • Massachusetts +
  • Michigan +
  • Minnesota +
  • Mississippi +
  • Missouri +
  • Montana +
  • Nebraska +
  • Nevada +
  • New Hampshire +
  • New Jersey +
  • New Mexico +
  • New York +
  • North Carolina +
  • North Dakota +
  • Ohio +
  • Oklahoma +
  • Oregon +
  • Pennsylvania +
  • Rhode Island +
  • South Carolina +
  • South Dakota +
  • Tennessee +
  • Texas +
  • Utah +
  • Vermont +
  • Virginia +
  • Washington +
  • West Virginia +
  • Wisconsin +
  • Wyoming +
+ + +
+
+ID     LAT    LON     Location
+
+Alabama
+
+
+[ANB]  33.58   85.85  Anniston,AL
+[AUO]  32.67   85.44  Auburn,AL
+[BHM]  33.57   86.75  Birmingham,AL
+[CKL]  32.90   87.25  Centreville,AL
+[DHN]  31.32   85.45  Dothan,AL
+[OZR]  31.28   85.72  Fort Rucker,AL
+[GAD]  33.97   86.09  Gadsden,AL
+[HSV]  34.65   86.77  Huntsville,AL
+[MXF]  32.38   86.37  Maxwell AFB,AL
+[MOB]  30.68   88.25  Mobile,AL
+[BFM]  30.63   88.07  Mobile Aeros,AL
+[MGM]  32.30   86.40  Montgomery,AL
+[MSL]  34.75   87.62  Muscle Shoal,AL
+[SEM]  32.34   86.99  Selma,AL
+[TOI]  31.87   86.02  Troy,AL
+[TCL]  33.23   87.62  Tuscaloosa,AL
+
+Alaska
+
+
+[ADK]  51.88  176.65  Adak,AK
+[Z60]  67.10  157.85  Ambler,AK
+[ANC]  61.17  150.02  Anchorage,AK
+[MRI]  61.22  149.85  Anchorage,AK
+[AGN]  57.83  134.97  Angoon,AK
+[ANI]  61.58  159.53  Aniak,AK
+[ANN]  55.03  131.57  Annette Isl,AK
+[ATU]  53.50  173.30  Attu,AK
+[BRW]  71.30  156.78  Barrow,AK
+[BTI]  70.13  143.63  Barter Islan,AK
+[BET]  60.78  161.80  Bethel Arpt,AK
+[BTT]  66.92  151.52  Bettles,AK
+[BIG]  64.00  145.73  Big Delta,AK
+[5BI]  60.82  152.30  Big River Lk,AK
+[Z68]  63.38  148.95  Cantwell,AK
+[CDE]  56.00  134.22  Cape Decis,AK
+[5HN]  60.38  147.08  Cape Hinchi,AK
+[CSP]  58.33  137.05  Cape Spence,AK
+[5CE]  60.33  145.00  Cape St Eli,AK
+[WCR]  67.50  148.48  Chandalar Lk,AK
+[Z00]  62.88  149.83  Chulitna,AK
+[CRC]  65.83  144.07  Circle City,AK
+[CDB]  55.20  162.72  Cold Bay,AK
+[CDV]  60.50  145.50  Cordova,AK
+[CGA]  55.80  133.25  Craig,AK
+[SCC]  70.20  148.47  Deadhorse,AK
+[DLG]  59.05  158.52  Dillingham,AK
+[5SZ]  62.73  143.92  Duffys Tavern,AK
+[DUT]  53.88  166.53  Dutch Harbor,AK
+[EAA]  64.77  141.15  Eagle Arpt,AK
+[ERO]  59.62  135.37  Eldred Rock,AK
+[ELV]  58.20  136.35  Elfin Cove,AK
+[FAI]  64.82  147.87  Fairbanks,AK
+[FWL]  62.85  154.47  Farewell,AK
+[FIV]  57.45  134.03  Five Finger,AK
+[FVM]  65.93  149.83  Five Mile,AK
+[FYU]  66.57  145.27  Fort Yukon,AK
+[FNR]  58.25  134.90  Funter Bay,AK
+[GBH]  68.48  149.48  Galbraith Lk,AK
+[GAM]  63.77  171.73  Gambell,AK
+[GKN]  62.15  145.45  Gulkana Arpt,AK
+[GST]  58.42  135.73  Gustavus,AK
+[Z26]  59.23  135.43  Haines Hrbor,AK
+[5HR]  61.98  152.08  Hayes River,AK
+[5EA]  63.83  149.00  Healy River,AK
+[HOM]  59.63  151.50  Homer,AK
+[Z49]  58.10  135.45  Hoonah Seapl,AK
+[ILI]  59.75  154.92  Iliamna Arpt,AK
+[JNU]  58.37  134.58  Juneau,AK
+[KAE]  56.97  133.95  Kake Seaplan,AK
+[ENA]  60.57  151.25  Kenai,AK
+[KTN]  55.35  131.70  Ketchikan,AK
+[AKN]  58.68  156.65  King Salmon,AK
+[ADQ]  57.75  152.50  Kodiak,AK
+[OTZ]  66.87  162.63  Kotzebue,AK
+[5WO]  61.63  149.03  Lazy Mtn,AK
+[LNI]  70.92  153.23  Lonely (dew),AK
+[MLY]  65.00  150.65  Manley Ht Sp,AK
+[MXY]  61.43  142.92  Mccarthy,AK
+[MCG]  62.97  155.62  Mcgrath,AK
+[MYU]  60.37  166.27  Mekoryuk,AK
+[MDO]  59.43  146.33  Middleton Is,AK
+[MHM]  63.90  152.27  Minchumina,AK
+[ENN]  64.55  149.08  Nenana,AK
+[KSM]  62.07  163.30  New Andreafs,AK
+[IKO]  53.58  169.42  Nikolski,AK
+[OME]  64.50  165.43  Nome,AK
+[ORT]  62.97  141.93  Northway,AK
+[OLI]  70.50  149.88  Oliktok Dew,AK
+[PAQ]  61.60  149.08  Palmer,AK
+[5PX]  63.03  145.50  Paxson,AK
+[PSG]  56.82  132.97  Petersburg,AK
+[PIZ]  69.82  162.92  Point Lay,AK
+[Z76]  56.25  134.65  Port Alexndr,AK
+[KPC]  65.25  166.87  Port Clarnce,AK
+[PTH]  56.95  158.62  Port Heiden,AK
+[PPC]  66.82  150.65  Prospect Crk,AK
+[PUO]  70.25  148.33  Prudhoe Bay,AK
+[Z30]  60.20  154.30  Pt Alsworth,AK
+[PTI]  62.17  153.25  Puntilla,AK
+[SDP]  55.33  160.50  Sand Point,AK
+[5WD]  60.18  149.75  Seward,AK
+[SYA]  53.20  174.13  Shemy,AK
+[SHH]  66.27  166.03  Shishmaref,AK
+[SIT]  57.07  135.35  Sitka,AK
+[SKJ]  56.88  154.20  Sitkinak,AK
+[SGY]  59.75  135.53  Skagway,AK
+[SKW]  61.97  151.20  Skwentna,AK
+[5SO]  62.03  146.67  Snowshoe Lk,AK
+[SNP]  57.15  170.22  St Paul Is,AK
+[5GN]  61.90  147.30  Tahneta Pass,AK
+[TKA]  62.30  150.10  Talkeetna,AK
+[TAL]  65.17  152.10  Tanana,AK
+[UMT]  69.37  152.13  Umiat,AK
+[UNK]  63.88  160.80  Unalakleet,AK
+[VWS]  61.13  146.35  Valdez,AK
+[VDZ]  61.13  146.25  Valdez 2,AK
+[AIN]  70.62  159.85  Wainwright,AK
+[WAA]  66.03  168.08  Wales,AK
+[5WT]  60.78  148.72  Whittier,AK
+[Z22]  61.75  150.05  Willow Arpt,AK
+[WRG]  56.48  132.37  Wrangell,AK
+[YAK]  59.52  139.67  Yakutat,AK
+
+Arizona
+
+
+[DMA]  32.17  110.88  Davis-M AFB,AZ
+[DVT]  33.68  112.08  Deer Valley,AZ
+[DUG]  31.45  109.60  Douglas,AZ
+[FFZ]  33.47  111.73  Falcon Fld,AZ
+[FLG]  35.13  111.67  Flagstaff,AZ
+[FHU]  31.60  110.35  Fort Huachuc,AZ
+[GBN]  33.55  113.17  Gila Bend,AZ
+[GYR]  33.42  112.38  Goodyear,AZ
+[GCN]  35.95  112.15  Grand Canyon,AZ
+[IGM]  35.27  113.95  Kingman,AZ
+[LUF]  33.53  112.38  Luke,AZ
+[PGA]  36.93  111.45  Page,AZ
+[0E4]  34.23  111.33  Payson,AZ
+[PHX]  33.43  112.02  Phoenix,AZ
+[PRC]  34.65  112.43  Prescott,AZ
+[E74]  32.82  109.68  Safford Awrs,AZ
+[SDL]  33.62  111.92  Scottsdale,AZ
+[E03]  34.27  110.00  Show Low,AZ
+[SOW]  34.27  110.00  Show Low,AZ
+[TUS]  32.12  110.93  Tucson,AZ
+[CHD]  33.30  111.67  Williams AFB,AZ
+[INW]  35.02  110.73  Winslow,AZ
+[YUM]  33.10  115.00  Yuma,AZ
+[NYL]  32.65  114.62  Yuma Mcas,AZ
+[1Y7]  32.85  114.40  Yuma Prv Gd,AZ
+
+Arkansas
+
+
+[BYH]  35.97   89.95  Blytheville,AR
+[CDH]  33.52   92.40  Camden,AR
+[ELD]  33.22   92.80  El Dorado,AR
+[FYV]  36.00   94.17  Fayetteville,AR
+[FSM]  35.33   94.37  Ft Smith,AR
+[HRO]  36.27   93.15  Harrison,AR
+[HOT]  34.48   93.10  Hot Springs,AR
+[JBR]  35.83   90.65  Jonesboro,AR
+[LIT]  35.22   92.38  Little Rock,AR
+[LRF]  34.92   92.15  Little Rock,AR
+[LZK]  34.83   92.25  Little Rock,AR
+[PBF]  34.17   91.93  Pine Bluff,AR
+[ASG]  36.18   94.13  Springdale,AR
+[TXK]  33.45   94.00  Texarkana,AR
+[ARG]  36.13   90.93  Walnut Ridge,AR
+
+California
+
+[NGZ]  37.78  122.32  Alameda NAS,CA
+[S11]  41.48  120.53  Alturas,CA
+[ACV]  40.98  124.10  Arcata,CA
+[BFL]  35.43  119.05  Bakersfield,CA
+[BAB]  39.13  121.45  Beale AFB,CA
+[BUO]  33.93  116.95  Beaumont,CA
+[BYS]  35.28  116.62  Bicycle Lk,CA
+[L35]  34.27  116.68  Big Bear Apt,CA
+[BIH]  37.60  118.60  Bishop,CA
+[BLU]  39.28  120.70  Blue Canyon,CA
+[BLH]  33.62  114.72  Blythe,CA
+[BUR]  34.20  118.37  Burbank,CA
+[NFG]  33.30  117.35  Camp Pendlet,CA
+[CZZ]  32.62  116.47  Campo,CA
+[CRQ]  33.13  117.28  Carlsbad,CA
+[MER]  37.38  120.57  Castle AFB,CA
+[CIC]  39.78  121.85  Chico,CA
+[NID]  35.68  117.68  China Lake,CA
+[CNO]  33.97  117.63  Chino,CA
+[CCR]  37.98  122.05  Concord,CA
+[CEC]  41.78  124.23  Crescent Cty,CA
+[DAG]  34.87  116.78  Daggett,CA
+[EDW]  34.90  117.88  Edwards AFB,CA
+[NJK]  32.82  115.68  El Centro,CA
+[EMT]  34.08  118.03  El Monte,CA
+[NZJ]  33.67  117.73  El Toro,CA
+[EKA]  41.33  124.28  Eureka,CA
+[HGT]  36.00  121.32  Fort Hunter,CA
+[OAR]  36.68  121.77  Fort Ord,CA
+[FAT]  36.77  119.72  Fresno,CA
+[FUL]  33.87  117.97  Fullerton,CA
+[VCV]  34.58  117.38  George AFB,CA
+[HHR]  33.92  118.33  Hawthorne,CA
+[HWD]  37.65  122.12  Hayward,CA
+[IPL]  32.83  115.57  Imperial,CA
+[NRS]  32.57  117.12  Imperial Bch,CA
+[POC]  34.10  117.78  La Verne,CA
+[TVL]  38.90  120.00  Lake Tahoe,CA
+[WJF]  34.73  118.22  Lancaster,CA
+[NLC]  36.33  119.95  Lemoore NAS,CA
+[LVK]  37.70  121.82  Livermore,CA
+[LGB]  33.82  118.15  Long Beach,CA
+[SLI]  33.78  118.05  Los Alamitos,CA
+[LAX]  33.93  118.40  Los Angeles,CA
+[MMH]  37.63  118.92  Mammoth Lks,CA
+[RIV]  33.88  117.27  March AFB,CA
+[MYV]  39.10  121.57  Marysville,CA
+[MHR]  38.57  121.30  Mather AFB,CA
+[MCC]  38.67  121.40  Mcclellan,CA
+[MCE]  37.28  120.52  Merced,CA
+[NKX]  32.87  117.15  Miramar NAS,CA
+[MOD]  37.63  120.95  Modesto,CA
+[NUQ]  37.42  122.05  Moffet NAS,CA
+[MHV]  35.05  118.15  Mojave,CA
+[1O5]  41.73  122.53  Montague,CA
+[MRY]  36.58  121.85  Monterey,CA
+[MHS]  41.32  122.32  Mount Shasta,CA
+[MWS]  34.23  118.07  Mount Wilson,CA
+[APC]  38.22  122.28  Napa,CA
+[EED]  34.77  114.62  Needles,CA
+[NZY]  32.70  117.20  North Is,CA
+[SBD]  34.10  117.23  Norton AFB,CA
+[OAK]  37.73  122.22  Oakland,CA
+[ONT]  34.05  117.62  Ontario Intl,CA
+[OXR]  34.20  119.20  Oxnard,CA
+[PSP]  33.83  116.50  Palm Springs,CA
+[PMD]  35.05  118.13  Palmdale,CA
+[PAO]  37.47  122.12  Palo Alto,CA
+[PRB]  35.67  120.63  Paso Robles,CA
+[53Q]  37.83  122.83  Pillaro Pt,CA
+[NTD]  34.12  119.12  Point Mugu,CA
+[PAA]  39.58  124.22  Pt Arena,CA
+[PGU]  34.95  121.12  Pt Arguello,CA
+[87Q]  35.67  121.28  Pt Piedras,CA
+[PPD]  36.12  121.47  Pt Piedras,CA
+[RBL]  40.15  122.25  Red Bluff,CA
+[RDD]  40.50  122.30  Redding,CA
+[RAL]  33.95  117.45  Riverside,CA
+[SAC]  38.52  121.50  Sacramento,CA
+[SMF]  38.70  121.60  Sacramento,CA
+[SNS]  36.67  121.60  Salinas,CA
+[SQL]  37.52  122.25  San Carlos,CA
+[L10]  33.42  117.62  San Clemente,CA
+[NUC]  33.02  118.58  San Clemente,CA
+[MYF]  32.82  117.13  San Diego,CA
+[SAN]  32.73  117.17  San Diego,CA
+[SDM]  32.57  116.98  San Diego,CA
+[SDM]  32.57  116.98  San Diego,CA
+[SEE]  32.82  116.97  San Diego,CA
+[51Q]  37.75  122.68  San Francisco,CA
+[SFO]  37.62  122.38  San Francisco,CA
+[SJC]  37.37  121.92  San Jose,CA
+[RHV]  37.33  121.82  San Jose/Rei,CA
+[SBP]  35.23  120.65  San Luis Obi,CA
+[L98]  33.38  117.58  San Mateo,CA
+[N5G]  34.03  120.40  San Miguel,CA
+[NSI]  33.25  119.45  San Nic Isl,CA
+[SDB]  34.75  118.73  Sandburg,CA
+[SNA]  33.67  117.88  Santa Ana,CA
+[SBA]  34.43  119.83  Santa Barb,CA
+[SMX]  34.90  120.45  Santa Maria,CA
+[SMO]  34.02  118.45  Santa Monica,CA
+[STS]  38.52  122.82  Santa Rosa,CA
+[O87]  40.03  124.07  Shelter Cove,CA
+[SIY]  41.78  122.47  Siskiyou,CA
+[SCK]  37.90  121.25  Stockton,CA
+[4SU]  35.33  117.10  Superior Val,CA
+[SVE]  40.63  120.95  Susanville,CA
+[TRM]  33.63  116.17  Thermal,CA
+[TOA]  33.80  118.33  Torrance,CA
+[SUU]  38.27  121.93  Travis AFB,CA
+[TRK]  39.32  120.13  Truckee-Tahoe,CA
+[NTK]  33.70  117.83  Tustin Mcas,CA
+[NXP]  34.28  116.15  Twenty9 Palm,CA
+[UKI]  39.13  123.20  Ukiah,CA
+[VNY]  34.22  118.48  Van Nuys,CA
+[VBG]  35.20  120.95  Vandenberg,CA
+[VBG]  35.20  120.95  Vandenberg,CA
+[VIS]  36.32  119.40  Visalia,CA
+
+Colorado
+
+[AFF]  39.52  105.35  Air Force A,CO
+[AKO]  40.17  103.22  Akron,CO
+[ALS]  37.45  105.87  Alamosa,CO
+[ASE]  39.22  106.87  Aspen,CO
+[BJC]  39.90  105.12  Brmfield/Jef,CO
+[BKF]  39.72  104.75  Buckley,CO
+[COS]  38.82  104.72  Colo Sprgs,CO
+[CEZ]  37.30  108.63  Cortez,CO
+[CAG]  40.50  107.53  Craig-Moffat,CO
+[DEN]  39.75  104.87  Denver,CO
+[DRO]  37.15  107.75  Durango,CO
+[EGE]  39.65  106.92  Eagle,CO
+[APA]  39.57  104.83  Englewood,CO
+[FCS]  38.68  104.77  Fort Carson,CO
+[FSR]  39.57  105.50  Fraser,CO
+[FNL]  40.45  105.02  Ft Col/Lovel,CO
+[FCL]  40.58  105.08  Ft Collins,CO
+[GJT]  39.12  108.53  Grand Jct,CO
+[GXY]  40.43  104.63  Greeley-Wld,CO
+[2V9]  38.55  106.93  Gunnison,CO
+[GUC]  38.55  106.92  Gunnison,CO
+[LHX]  38.05  103.52  La Junta,CO
+[4LJ]  38.12  102.60  Lamar,CO
+[LXV]  39.25  106.30  Leadville,CO
+[LIC]  39.18  103.70  Limon,CO
+[6V8]  38.50  107.88  Montrose,CO
+[MTJ]  38.50  107.88  Montrose,CO
+[PUB]  38.28  104.52  Pueblo,CO
+[1V1]  39.53  107.80  Rifle,CO
+[S29]  38.53  106.05  Salida,CO
+[SBS]  40.48  106.82  Steamboat Sp,CO
+[TAD]  37.25  104.33  Trinidad,CO
+[C96]  40.00  105.87  Winter Park,CO
+
+Connecticut
+
+[BDR]  41.17   73.13  Bridgeport,CT
+[DXR]  41.37   73.48  Danbury,CT
+[GON]  41.33   72.05  Groton,CT
+[HFD]  41.73   72.65  Hartford,CT
+[30N]  41.22   72.67  New Haven,CT
+[HVN]  41.27   72.88  New Haven,CT
+[N11]  41.27   72.90  New Haven,CT
+[18N]  41.30   72.08  New London,CT
+[BDL]  41.93   72.68  Windsor Loc,CT
+
+Delaware
+
+[DOV]  39.13   75.47  Dover,DE
+[ILG]  39.67   75.60  Wilmington,DE
+
+District of Columbia
+
+
+[IAD]  38.95   77.46  Washington/Dulles,DC
+[DCA]  38.85   77.04  Washington/Natl,DC
+
+Florida
+
+[AQQ]  29.73   85.03  Apalachicola,FL
+[90J]  29.12   81.57  Astor NAS,FL
+[AGR]  28.08   81.55  Avon Park G,FL
+[XMR]  28.47   80.55  Cape Canaveral,FL
+[NZC]  30.22   81.88  Cecil,FL
+[CEW]  30.78   86.52  Crestview,FL
+[CTY]  29.62   83.10  Cross City,FL
+[DAB]  29.18   81.05  Daytona Bch,FL
+[EGI]  30.65   86.52  Duke Fld,FL
+[VPS]  30.48   86.53  Eglin AFB,FL
+[X91]  27.60   82.77  Egmont Key,FL
+[FXE]  26.13   80.13  Fort Lauderd,FL
+[FMY]  26.58   81.87  Fort Myers,FL
+[FLL]  26.07   80.15  Ft Lauderdale,FL
+[RSW]  26.65   81.87  Ft Myers,FL
+[GNV]  29.68   82.27  Gainesville,FL
+[HST]  25.48   80.38  Homestead,FL
+[HRT]  30.43   86.68  Hurlburt Fld,FL
+[CRG]  30.33   81.52  Jacksonville,FL
+[JAX]  30.50   81.70  Jacksonville,FL
+[NIP]  30.23   81.68  Jacksonville,FL
+[EYW]  24.55   81.75  Key West,FL
+[NQX]  24.57   81.68  Key West NAS,FL
+[LAL]  28.03   81.95  Lakeland,FL
+[MCF]  27.85   82.52  Macdill AFB,FL
+[MAI]  30.84   85.18  Marianna,FL
+[NRB]  30.40   81.42  Mayport NAS,FL
+[MLB]  28.10   80.63  Melbourne,FL
+[MIA]  25.82   80.28  Miami Intl,FL
+[OPF]  25.92   80.28  Miami/Opa,FL
+[TMB]  25.65   80.43  Miami/Tamiami,FL
+[APF]  26.13   81.80  Naples,FL
+[X68]  28.62   80.68  Nasa Shuttle,FL
+[MCO]  28.43   81.32  Orlando,FL
+[ORL]  28.55   81.33  Orlando,FL
+[PFN]  30.20   85.68  Panama City,FL
+[COF]  28.23   80.60  Patrick AFB,FL
+[NPA]  30.35   87.32  Pensacola,FL
+[PNS]  30.47   87.20  Pensacola,FL
+[TBW]  27.97   82.60  Ruskin,FL
+[PIE]  27.92   82.68  Saint Peters,FL
+[SFB]  28.78   81.25  Sanford,FL
+[SRQ]  27.40   82.55  Sarasota,FL
+[TLH]  30.38   84.37  Tallahassee,FL
+[TPA]  27.97   82.53  Tampa Intl,FL
+[TIX]  28.52   80.80  Titusville,FL
+[PAM]  30.07   85.58  Tyndall AFB,FL
+[VRB]  27.65   80.42  Vero Beach,FL
+[PBI]  26.68   80.12  W Palm Beach,FL
+[NSE]  30.72   87.02  Whiting Fld,FL
+
+Georgia
+
+[ABY]  31.53   84.18  Albany,GA
+[AMG]  31.53   82.52  Alma,GA
+[AHN]  33.95   83.32  Athens,GA
+[ATL]  33.65   84.42  Atlanta,GA
+[ATL]  33.65   84.42  Atlanta,GA
+[PDK]  33.88   84.30  Atlanta/Dklb,GA
+[FTY]  33.78   84.52  Atlanta/Fltn,GA
+[AGS]  33.37   81.97  Augusta/Bush,GA
+[SSI]  31.15   81.38  Brunswick,GA
+[CSG]  32.52   84.93  Columbus,GA
+[MGE]  33.92   84.52  Dobbins AFB,GA
+[MGF]  34.53   84.87  Dobbins AFB,GA
+[LSF]  32.33   85.00  Fort Benning,GA
+[LHW]  31.88   81.57  Ft Stewart,GA
+[SVN]  32.02   81.15  Hunter Aaf,GA
+[LGC]  33.01   85.07  La Grange,GA
+[MCN]  32.70   83.65  Macon/Lewis,GA
+[VAD]  30.97   83.20  Moody AFB,GA
+[WRB]  32.63   83.60  Robins AFB,GA
+[RMG]  34.35   85.17  Rome/Russell,GA
+[SAV]  32.13   81.20  Savannah Mun,GA
+[VLD]  30.78   83.28  Valdosta,GA
+[AYS]  31.25   82.40  Waycross,GA
+
+Hawaii
+
+[HNA]  21.53  158.12  Barbers Pt,HI
+[HNA]  21.53  158.12  Barbers Pt,HI
+[BKH]  22.05  160.30  Barking San,HI
+[1Z6]  24.45  166.47  Fr Frigate,HI
+[ITO]  19.72  155.07  Hilo,HI
+[HNL]  21.35  157.93  Honolulu Int,HI
+[OGG]  20.90  156.43  Kahului Maui,HI
+[HNG]  21.75  158.28  Kaneohe Mca,HI
+[HNG]  21.75  158.28  Kaneohe Mca,HI
+[KOA]  19.75  156.05  Ke-Ahole/Kon,HI
+[0Z5]  22.38  159.67  Kilauea Pt,HI
+[LNY]  20.80  156.95  Lanai-Lanai,HI
+[LIH]  21.98  159.35  Lihue-Kauai,HI
+[JHM]  20.97  156.83  Maui,HI
+[MKK]  21.15  157.10  Molokai,HI
+[1Z2]  20.42  156.47  Upolo Pt Ln,HI
+[MUE]  20.00  156.12  Waimea-Koha,HI
+
+Idaho
+
+[BOI]  43.57  116.22  Boise,ID
+[BYI]  42.53  113.77  Burley,ID
+[U15]  44.52  114.22  Challis,ID
+[COE]  47.77  116.82  Coeur d'Alene,ID
+[P69]  45.82  115.43  Elk City,ID
+[GNG]  43.00  115.17  Gooding,ID
+[S80]  45.92  116.13  Grangeville,ID
+[IDA]  43.52  112.07  Idaho Falls,ID
+[LWS]  46.38  117.02  Lewiston,ID
+[MLD]  42.17  112.32  Malad City,ID
+[77M]  42.30  113.37  Malta,ID
+[MYL]  44.88  116.10  Mccall,ID
+[MUO]  43.05  115.87  Mountn Home,ID
+[S06]  47.47  115.80  Mullan,ID
+[PIH]  42.92  112.60  Pocatello,ID
+[27U]  45.18  113.90  Salmon,ID
+[SMN]  45.17  114.47  Salmon,ID
+[U78]  42.65  111.58  Soda Springs,ID
+[SUN]  43.50  114.30  Sun Valley,ID
+[TWF]  42.48  114.48  Twin Falls,ID
+
+Illinois
+
+[ALN]  38.88   90.05  Alton,IL
+[ARR]  41.77   88.32  Aurora,IL
+[CPS]  38.57   90.15  Bistate Park,IL
+[BMI]  40.48   88.93  Bloomington,IL
+[BDF]  41.16   89.60  Bradford,IL
+[CTR]  37.07   89.22  Cairo,IL
+[MDH]  37.78   89.25  Carbondale,IL
+[ENL]  38.51   89.09  Centralia,IL
+[CMI]  40.03   88.28  Champaign/Urbana,IL
+[CHI]  41.90   87.65  Chicago,IL
+[CGX]  41.87   87.62  Chicago/Meigs,IL
+[MDW]  41.78   87.75  Chicago/Midway,IL
+[ORD]  41.98   87.90  Chicago/O'hare,IL
+[DNV]  40.20   87.60  Danville,IL
+[DKB]  41.93   88.72  DeKalb,IL
+[DEC]  39.83   88.87  Decatur,IL
+[DPA]  41.92   88.25  Du Page,IL
+[GBG]  40.93   90.43  Galesburg,IL
+[NBU]  42.08   87.82  Glenview NAS,IL
+[IKK]  41.07   87.85  Kankakee,IL
+[MQB]  40.52   90.66  Macomb,IL
+[MWA]  37.75   89.00  Marion,IL
+[MMO]  41.37   88.68  Marseilles,IL
+[MTO]  39.48   88.28  Mattoon,IL
+[MLI]  41.45   90.52  Moline/Quad,IL
+[MVN]  38.32   88.86  Mount Vernon,IL
+[PIA]  40.67   89.68  Peoria,IL
+[UIN]  39.93   91.20  Quincy,IL
+[RFD]  42.20   89.10  Rockford,IL
+[SLO]  38.63   88.96  Salem,IL
+[BLV]  38.55   89.85  Scott AFB,IL
+[SPI]  39.85   89.67  Springfield,IL
+[SQI]  41.74   89.67  Sterling,IL
+[TAZ]  39.53   89.33  Taylorville,IL
+[VLA]  38.99   89.17  Vandalia,IL
+
+Indiana
+
+
+[BAK]  39.38   86.50  Bakalar Af,IN
+[BMG]  39.13   86.62  Bloomington,IN
+[EKM]  41.72   86.00  Elkhart,IN
+[EVV]  38.05   87.53  Evansville,IN
+[FWA]  41.00   85.20  Fort Wayne,IN
+[GYY]  41.62   87.42  Gary,IN
+[GUS]  40.65   86.15  Grissom AFB,IN
+[IND]  39.73   86.27  Indianapolis,IN
+[MIE]  40.23   85.38  Muncie,IN
+[SBN]  41.70   86.32  South Bend,IN
+[HUF]  39.45   87.30  Terre Haute,IN
+[LAF]  40.42   86.93  W Lafayette,IN
+
+Iowa
+
+[BRL]  40.78   91.12  Burlington,IA
+[CID]  41.88   91.70  Cedar Rapids,IA
+[DSM]  41.53   93.65  Des Moines,IA
+[DBQ]  42.40   90.70  Dubuque,IA
+[EST]  43.40   94.75  Estherville,IA
+[FOD]  42.55   94.18  Fort Dodge,IA
+[3OI]  40.62   93.93  Lamoni,IA
+[MCW]  43.15   93.33  Mason City,IA
+[OTM]  41.10   92.45  Ottumwa,IA
+[SUX]  42.40   96.38  Sioux City,IA
+[3SE]  43.17   95.15  Spencer,IA
+[ALO]  42.55   92.40  Waterloo Mun,IA
+
+Kansas
+
+[CNU]  37.67   95.48  Chanute,KS
+[3KM]  37.75   97.22  Col. J Jabar,KS
+[CNK]  39.55   97.65  Concordia,KS
+[DDC]  37.77   99.97  Dodge City,KS
+[1K5]  37.00  101.88  Elkhart,KS
+[EMP]  38.33   96.20  Emporia,KS
+[FLV]  39.37   94.92  Ft Leavnwrth,KS
+[FRI]  39.05   96.77  Ft Riley,KS
+[GCK]  37.93  100.72  Garden City,KS
+[GLD]  39.37  101.70  Goodland,KS
+[HYS]  38.85   99.27  Hays,KS
+[HLC]  39.38   99.83  Hill City,KS
+[HUT]  38.07   97.87  Hutchinson,KS
+[IXD]  38.82   94.88  Johnson Cnty,KS
+[LBL]  37.05  100.97  Liberal,KS
+[MHK]  39.15   96.67  Manhatten,KS
+[IAB]  37.62   97.27  Mcconnell Af,KS
+[P28]  37.30   98.58  Medicine Ldg,KS
+[OJC]  38.85   94.90  Olathe,KS
+[RSL]  38.87   98.82  Russell,KS
+[SLN]  38.80   97.65  Salina,KS
+[TOP]  39.07   95.62  Topeka,KS
+[FOE]  38.95   95.67  Topeka/Forbe,KS
+[ICT]  37.65   97.43  Wichita,KS
+
+Kentucky
+
+[BWG]  36.97   86.43  Bowling Gren,KY
+[HOP]  36.67   87.50  Ft Campbell,KY
+[FTK]  37.90   85.97  Ft Knox,KY
+[JKL]  37.60   83.32  Jackson,KY
+[LEX]  38.05   85.00  Lexington,KY
+[LOZ]  37.08   84.07  London,KY
+[LOU]  38.23   85.67  Louisville,KY
+[SDF]  38.18   85.73  Louisville,KY
+[OWB]  37.75   87.17  Owensboro,KY
+[PAH]  37.07   88.77  Paducah,KY
+[5I3]  37.48   82.52  Pikeville,KY
+
+Louisiana
+
+[ESF]  31.38   92.30  Alexandria,LA
+[BAD]  32.50   93.67  Barksdale,LA
+[BTR]  30.53   91.15  Baton Rouge,LA
+[BVE]  29.55   89.67  Boothville,LA
+[7R5]  29.78   93.30  Cameron Heli,LA
+[01R]  31.22   92.95  Claiborne R,LA
+[AEX]  31.33   92.55  England AFB,LA
+[41I]  28.47   91.78  Eugene Is.,LA
+[POE]  31.05   93.20  Fort Polk,LA
+[AXO]  29.18   90.07  Grand Isle,LA
+[5R0]  28.22   93.75  High Is,LA
+[01T]  28.13   94.40  High Island,LA
+[HUM]  29.57   90.65  Houma,LA
+[7R4]  29.73   92.12  Intercoastal,LA
+[LFT]  30.20   92.00  Lafayette,LA
+[LCH]  30.12   93.22  Lake Charles,LA
+[7R3]  29.70   91.10  Lk Palourde,LA
+[1G7]  28.78   89.05  Missippi Can,LA
+[MLU]  32.52   92.05  Monroe,LA
+[PTN]  29.70   91.20  Morgan City,LA
+[ARA]  30.03   91.88  New Iberia,LA
+[MSY]  29.98   90.25  New Orleans,LA
+[NBG]  29.83   90.02  New Orleans,LA
+[NEW]  30.03   90.03  New Orleans,LA
+[7R8]  28.30   91.98  S Marsh Isl,LA
+[DTN]  32.52   93.75  Shreveport,LA
+[SHV]  32.47   93.82  Shreveport,LA
+[SIL]  30.35   89.82  Slidel,LA
+
+Maine
+
+[AUG]  44.32   69.80  Augusta,ME
+[BGR]  44.80   68.82  Bangor,ME
+[BHB]  44.45   68.37  Bar Harbor,ME
+[NHZ]  43.88   69.93  Brunswick,ME
+[CAR]  46.87   68.02  Caribou Mun,ME
+[3B1]  45.45   69.55  Greenville,ME
+[6B2]  45.78   69.63  Greenville,ME
+[HUL]  46.13   67.78  Houlton,ME
+[LIZ]  46.95   67.88  Loring AFB,ME
+[PWM]  43.65   70.32  Portland,ME
+[PQI]  46.68   68.05  Presque Isle,ME
+[RKD]  44.07   69.12  Rockland,ME
+[RUM]  44.88   70.88  Rumford,ME
+
+Maryland
+
+[ADW]  38.82   76.87  Andrews AFB,MD
+[BAL]  39.18   76.67  Baltimore,MD
+[BWI]  39.18   76.67  Baltimore,MD
+[MTN]  39.33   76.42  Baltimore,MD
+[FME]  39.08   76.77  Fort Meade,MD
+[HGR]  39.70   77.72  Hagerstown,MD
+[N80]  38.55   75.13  Ocean City,MD
+[NHK]  38.28   76.40  Patuxent,MD
+[APG]  39.47   76.17  Phillips,MD
+[SBY]  38.33   75.50  Salisbury,MD
+
+Massachusetts
+
+[BED]  42.47   71.28  Bedford,MA
+[BVY]  42.58   70.92  Beverly,MA
+[BOS]  42.37   71.03  Boston,MA
+[30B]  41.78   70.50  Cape Cod Can,MA
+[CHH]  41.67   69.97  Chatham,MA
+[AYE]  42.57   71.60  Fort Devens,MA
+[HYA]  41.67   70.28  Hyannis,MA
+[LWM]  42.72   71.12  Lawrence,MA
+[MVY]  41.40   70.62  Marthas Vine,MA
+[ACK]  41.25   70.07  Nantucket,MA
+[EWB]  41.68   70.97  New Bedford,MA
+[OWD]  42.18   71.18  Norwood,MA
+[FMH]  41.65   70.52  Otis ANGB,MA
+[PSF]  42.26   73.18  Pittsfield,MA
+[NZW]  42.15   70.93  S Weymouth,MA
+[BAF]  42.17   72.72  Westfield,MA
+[CEF]  42.20   72.53  Westover,MA
+[ORH]  42.27   71.87  Worcester,MA
+
+Michigan
+
+[APN]  45.07   83.57  Alpena,MI
+[ARB]  42.22   83.75  Ann Arbor,MI
+[BTL]  42.30   85.23  Battle Creek,MI
+[BEH]  42.13   86.43  Benton Harbor,MI
+[CIU]  46.25   84.47  Chippewa,MI
+[C10]  43.07   85.95  Coopersville,MI
+[P59]  47.47   87.85  Copper Harb,MI
+[DET]  42.42   83.02  Detroit,MI
+[DTW]  42.23   83.33  Detroit,MI
+[ESC]  45.73   87.08  Escanaba,MI
+[FNT]  42.97   83.75  Flint/Bishop,MI
+[GRR]  42.88   85.52  Grand Rapids,MI
+[CMX]  47.17   88.50  Hancock,MI
+[P58]  43.83   82.53  Harbor Beach,MI
+[HTL]  44.37   84.68  Houghton Lake,MI
+[IMT]  45.82   88.12  Iron Mtn,MI
+[IWD]  46.53   90.13  Ironwood,MI
+[JXN]  42.27   84.47  Jackson,MI
+[AZO]  42.23   85.55  Kalamazoo,MI
+[LAN]  42.77   84.60  Lansing,MI
+[MBL]  44.27   86.25  Manistee,MI
+[MQT]  46.88   87.95  Marquette,MI
+[MNM]  45.12   87.63  Menominee,MI
+[MKG]  43.17   86.25  Muskegon,MI
+[PLN]  45.57   84.80  Pellston,MI
+[PTK]  42.67   83.42  Pontiac,MI
+[MBS]  43.53   84.08  Saginaw,MI
+[SSM]  46.47   84.37  Sault Ste M,MI
+[SAW]  46.35   87.40  Sawyer AFB,MI
+[MTC]  42.62   82.83  Selfridge,MI
+[P75]  45.92   85.92  Seul Choix,MI
+[TVC]  44.73   85.58  Traverse Cty,MI
+[OSC]  44.45   83.40  Wurtsmith,MI
+[YIP]  42.23   83.53  Ypsilanti,MI
+
+Minnesota
+
+[AEL]  43.68   93.37  Albert Lea,MN
+[AXN]  45.87   95.38  Alexandria,MN
+[BJI]  47.50   94.93  Bemidji Muni,MN
+[BRD]  46.40   94.13  Brainerd-Crw,MN
+[DTL]  46.82   95.88  Detroit Laks,MN
+[DLH]  46.83   92.18  Duluth,MN
+[ELO]  47.90   91.82  Ely,MN
+[FRM]  43.65   94.42  Fairmont,MN
+[FFM]  46.30   96.07  Fergus Falls,MN
+[GPZ]  47.22   93.52  Grand Rapids,MN
+[HIB]  47.38   92.85  Hibbing,MN
+[INL]  48.57   93.38  Intl Falls,MN
+[Y69]  45.13   94.52  Litchfield,MN
+[MKT]  44.22   93.92  Mankato,MN
+[MML]  44.45   95.82  Marshall Arpt,MN
+[FCM]  44.83   93.47  Minneapolis,MN
+[MIC]  45.07   93.38  Minneapolis,MN
+[MSP]  44.88   93.22  Minneapolis,MN
+[PKD]  46.90   95.07  Park Rapids,MN
+[P39]  46.60   94.32  Pequot Lake,MN
+[RWF]  44.55   95.08  Redwood Falls,MN
+[RST]  43.92   92.50  Rochester,MN
+[STP]  44.93   93.05  Saint Paul,MN
+[STC]  45.55   94.07  St Cloud,MN
+[TVF]  48.07   96.18  Thief River,MN
+[P61]  47.58   90.83  Tofte,MN
+[D45]  48.93   95.35  Warroad,MN
+[OTG]  43.65   95.58  Worthington,MN
+
+Mississippi
+
+[CBM]  33.65   88.45  Columbus AFB,MS
+[GTR]  33.45   88.58  Golden Trian,MS
+[GLH]  33.48   90.98  Greenville,MS
+[GWO]  33.50   90.08  Greenwood,MS
+[GPT]  30.40   89.07  Gulfport,MS
+[PIB]  31.47   89.33  Hattiesburg,MS
+[JAN]  32.32   90.08  Jackson,MS
+[BIX]  30.42   88.92  Keesler AFB,MS
+[LUL]  31.67   89.17  Laurel,MS
+[MCB]  31.18   90.47  Mccomb,MS
+[NMM]  32.55   88.57  Meridian NAS,MS
+[MEI]  32.33   88.75  Meridian/Key,MS
+[HEZ]  31.62   91.25  Natchez,MS
+[UOX]  34.39   89.54  Oxford,MS
+[TUP]  34.27   88.77  Tupelo,MS
+
+Missouri
+
+[COU]  38.82   92.22  Columbia,MO
+[CGI]  37.23   89.58  Cp Girardeau,MO
+[TBN]  37.75   92.13  Ft Leonard,MO
+[JEF]  38.60   92.17  Jefferson City,MO
+[JLN]  37.17   94.50  Joplin,MO
+[MCI]  39.32   94.72  Kansas City,MO
+[MKC]  39.12   94.60  Kansas City,MO
+[IRK]  40.10   92.55  Kirksville,MO
+[UMN]  37.33   94.35  Monett,MO
+[MKO]  35.66   95.36  Muskogee,MO
+[P02]  36.77   90.47  Poplar Bluff,MO
+[GVW]  38.85   94.55  Richards-Geb,MO
+[P35]  40.25   93.72  Spickard,MO
+[SGF]  37.23   93.38  Springfield,MO
+[STJ]  40.28   95.53  St Joseph,MO
+[STL]  38.75   90.37  St Louis,MO
+[SUS]  38.65   90.63  StLouis/Spirit,MO
+[VIH]  38.13   91.77  Vichy/Rolla,MO
+[H63]  37.22   92.42  West Plains,MO
+[UNO]  36.88   91.90  West Plains,MO
+[SZL]  38.73   93.55  Whiteman AFB,MO
+
+Montana
+
+[BIL]  45.80  108.53  Billings,MT
+[BZN]  45.78  111.15  Bozeman,MT
+[4BQ]  45.67  105.67  Broadus,MT
+[BTM]  45.95  112.50  Butte,MT
+[CTB]  48.60  112.37  Cut Bank,MT
+[DLN]  45.25  112.55  Dillon,MT
+[3DU]  46.67  113.15  Drummond,MT
+[GGW]  48.22  106.62  Glasgow,MT
+[GDV]  47.13  104.80  Glendive,MT
+[GTF]  47.48  111.37  Great Falls,MT
+[3HT]  46.43  109.83  Harlowton,MT
+[HVR]  48.55  109.77  Havre,MT
+[HLN]  46.60  112.00  Helena,MT
+[JDN]  47.33  106.93  Jordan,MT
+[FCA]  48.30  114.27  Kalispell,MT
+[LWT]  47.05  109.45  Lewiston,MT
+[LVM]  45.70  110.43  Livingston,MT
+[GFA]  47.50  111.18  Malmstrom,MT
+[MLS]  46.43  105.87  Miles City,MT
+[MSO]  46.92  114.08  Missoula,MT
+[MQM]  44.57  112.32  Monida,MT
+[SDY]  47.72  104.18  Sidney,MT
+[3TH]  47.60  115.37  Thompson Fal,MT
+[WEY]  44.65  111.10  W Yellowston,MT
+[WYS]  44.68  111.12  W Yellowston,MT
+[OLF]  48.10  105.58  Wolf Point,MT
+
+Nebraska
+
+[ANW]  42.58   99.98  Ainsworth,NE
+[AIA]  42.05  102.80  Alliance,NE
+[BIE]  40.32   96.75  Beatrice,NE
+[BBW]  41.43   99.65  Broken Bow,NE
+[BUB]  41.78   99.15  Burwell,NE
+[CDR]  42.83  103.08  Chadron,NE
+[OLU]  41.45   97.35  Columbus,NE
+[CZD]  40.87  100.00  Cozad,NE
+[FNB]  40.07   95.58  Falls City,NE
+[GRI]  40.97   98.32  Grand Island,NE
+[HSI]  40.60   98.43  Hastings,NE
+[6V1]  40.33  101.39  Imperial,NE
+[IML]  40.53  101.63  Imperial,NE
+[EAR]  40.73   99.00  Kearney,NE
+[LNK]  40.85   96.75  Lincoln Muni,NE
+[MCK]  40.22  100.58  Mccook,NE
+[MHN]  42.05  101.05  Mullen,NE
+[OFK]  41.98   97.43  Norfolk,NE
+[OVN]  41.37   96.02  North Omaha,NE
+[LBF]  41.13  100.68  North Platte,NE
+[ONL]  42.47   98.68  O'neill,NE
+[OFF]  41.12   95.92  Offutt AFB,NE
+[OMA]  41.30   95.90  Omaha/Eppley,NE
+[ODX]  41.62   98.95  Ord/Sharp,NE
+[BFF]  41.87  103.60  Scottsbluff,NE
+[SNY]  41.10  102.98  Sidney Muni,NE
+[VTN]  42.87  100.55  Valentine,NE
+
+Nevada
+
+[AUI]  39.83  117.13  Austin,NV
+[U31]  39.50  117.08  Austin,NV
+[BAM]  40.62  116.87  Battle Mtn,NV
+[P38]  37.62  114.52  Caliente,NV
+[EKO]  40.83  115.78  Elko,NV
+[ELY]  39.28  114.85  Ely/Yelland,NV
+[P68]  39.50  115.97  Eureka,NV
+[NFL]  39.42  118.70  Fallon NAS,NV
+[HTH]  38.55  118.63  Hawthorne,NV
+[L63]  36.53  115.57  Ind Sprng Rn,NV
+[L76]  36.57  115.67  Ind Sprng Rn,NV
+[LAS]  36.08  115.17  Las Vegas,NV
+[LOL]  40.10  118.92  Lovelock,NV
+[DRA]  36.62  116.02  Mercury,NV
+[LSV]  36.23  115.03  Nellis AFB,NV
+[OWY]  42.58  116.17  Owyhee,NV
+[RNO]  39.50  119.78  Reno,NV
+[TPH]  38.07  117.08  Tonopah,NV
+[AWH]  41.33  116.25  Wildhorse,NV
+[WMC]  40.90  117.80  Winnemucca,NV
+[UCC]  37.58  116.08  Yucca Flat,NV
+
+New Hampshire
+
+[BML]  44.58   71.18  Berlin,NH
+[CON]  43.20   71.50  Concord,NH
+[AFN]  42.80   72.00  Jaffrey,NH
+[EEN]  42.90   72.27  Keene,NH
+[LCI]  43.57   71.43  Laconia,NH
+[LEB]  43.63   72.30  Lebanon,NH
+[MHT]  42.93   71.43  Manchester,NH
+[MWN]  44.27   71.30  Mt Washingtn,NH
+[ASH]  42.78   71.52  Nashua,NH
+[PSM]  43.08   70.82  Pease AFB,NH
+[8B8]  44.00   71.38  Wolfeboro,NH
+
+New Jersey
+
+[ACY]  39.45   74.57  Atlantic Cty,NJ
+[N78]  40.28   74.28  Barnegat Ls,NJ
+[CDW]  40.87   74.28  Fairfield,NJ
+[NEL]  40.03   74.35  Lakehurst,NJ
+[WRI]  40.02   74.60  Mcguire AFB,NJ
+[MIV]  39.37   75.07  Millville,NJ
+[MMU]  40.80   74.42  Morristown,NJ
+[EWR]  40.70   74.17  Newark Intl,NJ
+[TEB]  40.85   74.05  Teterboro,NJ
+[TTN]  40.28   74.82  Trenton,NJ
+
+New Mexico
+
+[ABQ]  35.05  106.60  Albuquerque,NM
+[CVS]  34.38  103.32  Cannon,NM
+[CNM]  32.33  104.27  Carlsbad,NM
+[CAO]  36.45  103.15  Clayton Arpt,NM
+[4CR]  34.10  105.68  Corona,NM
+[4SL]  36.02  106.95  Cuba Awrs,NM
+[DMN]  32.25  107.70  Deming,NM
+[FMN]  36.75  108.23  Farmington,NM
+[GUP]  35.52  108.78  Gallup/Clark,NM
+[GNT]  35.17  107.90  Grants,NM
+[HOB]  32.68  103.20  Hobbs,NM
+[HMN]  32.85  106.10  Holloman AFB,NM
+[LRU]  32.30  106.77  Las Cruces,NM
+[LVS]  35.65  105.15  Las Vegas,NM
+[LAM]  35.88  106.28  Los Alamos,NM
+[4MY]  34.98  106.05  Moriarity,NM
+[E28]  32.90  106.40  Northrup Str,NM
+[RTN]  36.74  104.50  Raton,NM
+[ROW]  33.30  104.53  Roswell,NM
+[SAF]  35.62  106.08  Santa Fe,NM
+[SVC]  32.63  108.17  Silver City,NM
+[ONM]  34.07  106.90  Socorro,NM
+[E23]  36.42  105.57  Taos,NM
+[TCS]  33.23  107.27  Truth Or Con,NM
+[TCC]  35.18  103.60  Tucumcari,NM
+[2C2]  32.63  106.40  White Sands,NM
+
+New York
+
+[ALB]  42.75   73.80  Albany,NY
+[N28]  40.75   74.37  Ambrose,NY
+[BGM]  42.22   75.98  Binghamton,NY
+[BUF]  42.93   78.73  Buffalo,NY
+[DSV]  42.97   78.20  Dansville,NY
+[ELM]  42.17   76.90  Elmira,NY
+[FRG]  40.73   73.43  Farmingdale,NY
+[GTB]  44.05   75.73  Fort Drum,NY
+[GFL]  43.35   73.62  Glens Falls,NY
+[RME]  43.23   75.40  Griffiss AFB,NY
+[ISP]  40.78   73.10  Islip,NY
+[ITH]  42.48   76.47  Ithaca,NY
+[JHW]  42.15   79.25  Jamestown,NY
+[MSS]  44.93   74.85  Massena,NY
+[MSV]  41.70   74.80  Monticello,NY
+[NYC]  40.77   73.98  New York,NY
+[JFK]  40.65   73.78  New York/JFK,NY
+[LGA]  40.77   73.90  New York/LGA,NY
+[SWF]  41.50   74.10  Newburgh,NY
+[IAG]  43.10   78.95  Niagara Fall,NY
+[OGS]  44.68   75.40  Ogdensburg,NY
+[N66]  42.87   75.12  Oneonta,NY
+[PBG]  44.65   73.47  Plattsburgh,NY
+[POU]  41.63   73.88  Poughkeepsie,NY
+[ROC]  43.12   77.67  Rochester,NY
+[ROC]  43.12   77.67  Rochester,NY
+[SLK]  44.38   74.20  Saranac Lk,NY
+[SCH]  42.85   73.93  Schenectady,NY
+[SYR]  43.12   76.12  Syracuse,NY
+[UCA]  43.15   75.38  Utica,NY
+[ART]  44.00   76.02  Watertown,NY
+[FOK]  40.85   72.63  Westhampton,NY
+[HPN]  41.07   73.72  White Plains,NY
+
+North Carolina
+
+[AVL]  35.43   82.55  Asheville,NC
+[HAT]  35.27   75.55  Cape Hattera,NC
+[CLT]  35.22   80.93  Charlotte,NC
+[NKT]  34.90   76.88  Cherry Point,NC
+[2DP]  36.13   76.50  Dare Co Gr,NC
+[44W]  35.25   75.50  Diamond Sho,NC
+[ECG]  36.27   76.18  Elizabeth,NC
+[FAY]  35.00   78.88  Fayetteville,NC
+[FBG]  35.13   78.93  Fort Bragg,NC
+[GSO]  36.08   79.95  Greensboro,NC
+[HKY]  35.75   81.38  Hickory,NC
+[HSS]  35.90   82.82  Hot Springs,NC
+[OAJ]  34.82   77.62  Jacksonville,NC
+[ISO]  35.32   77.63  Kinston,NC
+[HFF]  35.03   79.50  Mackall Aaf,NC
+[MQI]  35.92   75.68  Manteo Arpt,NC
+[EWN]  35.08   77.05  New Bern,NC
+[NCA]  34.70   77.43  New River,NC
+[POB]  35.17   79.02  Pope AFB,NC
+[RDU]  35.87   78.78  Raleigh-Durh,NC
+[RWI]  35.85   77.88  Rocky Mt,NC
+[GSB]  35.33   77.97  Seymour-John,NC
+[SOP]  35.24   79.39  Southern Pin,NC
+[ILM]  34.27   77.92  Wilmington,NC
+[INT]  36.13   80.23  Winston-Salem,NC
+
+North Dakota
+
+[BIS]  46.77  100.75  Bismarck,ND
+[DVL]  48.12   98.90  Devil's Lake,ND
+[P11]  48.10   98.87  Devil's Lake,ND
+[DIK]  46.78  102.80  Dickenson,ND
+[FAR]  46.90   96.80  Fargo,ND
+[GFK]  47.95   97.18  Grand Forks,ND
+[RDR]  47.97   97.40  Grand Forks,ND
+[JMS]  46.92   98.68  Jamestown,ND
+[P67]  46.10   97.15  Lidgerwood,ND
+[MIB]  48.42  101.35  Minot AFB,ND
+[MOT]  48.27  101.28  Minot Intl,ND
+[P24]  47.75  101.83  Roseglen,ND
+[ISN]  48.18  103.63  Williston,ND
+
+Ohio
+
+[UNI]  39.21   82.23  Athens/Albany,OH
+[CAK]  40.92   81.43  Canton,OH
+[CVG]  39.05   84.67  Cincinnati,OH
+[LUK]  39.10   84.43  Cincinnati,OH
+[BKL]  41.52   81.68  Cleveland,OH
+[CGF]  41.57   81.48  Cleveland,OH
+[CLE]  41.42   81.87  Cleveland,OH
+[CMH]  40.00   82.88  Columbus,OH
+[OSU]  40.08   83.07  Columbus Osu,OH
+[DAY]  39.90   84.20  Dayton,OH
+[FDY]  41.02   83.67  Findlay,OH
+[MFD]  40.82   82.52  Mansfield,OH
+[LCK]  39.82   82.93  Rickenbacker,OH
+[TOL]  41.60   83.80  Toledo,OH
+[LNN]  41.63   81.40  Willoughby,OH
+[FFO]  39.83   84.05  Wright-Pat AFB,OH
+[YNG]  41.27   80.67  Youngstown,OH
+[ZZV]  39.95   81.90  Zanesville,OH
+
+Oklahoma
+
+[LTS]  34.67   99.27  Altus AFB,OK
+[ADM]  34.30   97.02  Ardmore,OK
+[BVO]  36.75   96.00  Bartlesville,OK
+[CSM]  35.35   99.20  Clinton,OK
+[WDG]  36.38   97.80  Enid,OK
+[FSI]  34.65   98.40  Fort Sill,OK
+[GAG]  36.30   99.77  Gage,OK
+[HBR]  35.00   99.05  Hobart,OK
+[LAW]  34.57   98.42  Lawton,OK
+[MLC]  34.88   95.78  Mcalester,OK
+[OUN]  35.23   97.47  Norman,OK
+[OKC]  35.40   97.60  Oklahoma Cty,OK
+[PWA]  35.53   97.65  Oklahoma Cty,OK
+[PGO]  34.68   94.62  Page,OK
+[PNC]  36.73   97.10  Ponca City,OK
+[SWO]  36.16   97.09  Stillwater,OK
+[TIK]  35.42   97.38  Tinker AFB,OK
+[TUL]  36.20   95.90  Tulsa,OK
+[END]  36.33   97.92  Vance AFB,OK
+
+Oregon
+
+[AST]  46.15  123.88  Astoria,OR
+[3S2]  45.25  122.75  Aurora,OR
+[BKE]  44.83  117.82  Baker,OR
+[4BK]  42.08  124.47  Brookings,OR
+[BNO]  43.60  118.95  Burns Arpt,OR
+[92S]  43.38  124.95  Cape Blanco,OR
+[CZK]  45.68  121.88  Cascade,OR
+[CVO]  44.50  123.28  Corvallis,OR
+[EUG]  44.12  123.22  Eugene,OR
+[HIO]  45.53  122.95  Hillsboro,OR
+[LMT]  42.15  121.73  Klamath Fall,OR
+[LGD]  45.28  118.00  La Grande,OR
+[4LW]  42.18  120.35  Lake View,OR
+[MEH]  45.50  118.40  Meacham,OR
+[MFR]  42.37  122.87  Medford,OR
+[ONP]  44.63  124.05  Newport,OR
+[OTH]  43.42  124.25  North Bend,OR
+[ONO]  44.02  117.02  Ontario,OR
+[PDT]  45.68  118.85  Pendleton,OR
+[PDX]  45.60  122.60  Portland,OR
+[RDM]  44.27  121.15  Redmond,OR
+[RBG]  43.23  123.37  Roseburg,OR
+[SLE]  44.92  123.00  Salem,OR
+[SXT]  42.62  123.37  Sexton,OR
+[DLS]  45.62  121.15  The Dalles,OR
+[TTD]  45.55  122.40  Troutdale,OR
+
+Pennsylvania
+
+[ABE]  40.65   75.43  Allentown,PA
+[AOO]  40.30   78.32  Altoona,PA
+[BVI]  40.75   80.33  Beaver Falls,PA
+[BSI]  40.27   79.09  Blairsville,PA
+[BFD]  41.80   78.63  Bradford,PA
+[DUJ]  41.18   78.90  Dubois,PA
+[ERI]  42.08   80.18  Erie,PA
+[FKL]  41.38   79.87  Franklin,PA
+[CXY]  40.22   76.85  Harrisburg,PA
+[HAR]  40.37   77.42  Harrisburg,PA
+[JST]  40.32   78.83  Johnstown,PA
+[LNS]  40.13   76.30  Lancaster,PA
+[LBE]  40.28   79.40  Latrobe,PA
+[MDT]  40.20   76.77  Middletown,PA
+[MUI]  40.43   76.57  Muir,PA
+[PNE]  40.08   75.02  Nth Philadel,PA
+[PHL]  39.88   75.25  Philadelphia,PA
+[PSB]  41.47   78.13  Philipsburg,PA
+[AGC]  40.35   79.93  Pittsburgh,PA
+[PIT]  40.50   80.22  Pittsburgh,PA
+[RDG]  40.38   75.97  Reading,PA
+[43M]  39.73   77.43  Site R,PA
+[UNV]  40.85   77.83  State Colleg,PA
+[AVP]  41.33   75.73  Wilkes-Barre,PA
+[IPT]  41.25   76.92  Williamsport,PA
+[NXX]  40.20   75.15  Willow Grove,PA
+
+Rhode Island
+
+[BID]  41.17   71.58  Block Island,RI
+[OQU]  41.60   71.42  Nth Kingston,RI
+[PVD]  41.73   71.43  Providence,RI
+[NCO]  41.36   71.25  Quonset Pt NAS,RI
+
+South Carolina
+
+[AND]  34.50   82.72  Anderson,SC
+[NBC]  32.48   80.72  Beaufort Mca,SC
+[CHS]  32.90   80.03  Charleston,SC
+[CAE]  33.95   81.12  Columbia,SC
+[FLO]  34.18   79.72  Florence,SC
+[GMU]  34.85   82.35  Greenville,SC
+[GSP]  34.90   82.22  Greenville,SC
+[MMT]  33.92   80.80  Mcentire,SC
+[MYR]  33.68   78.93  Myrtle Beach,SC
+[CRE]  33.82   78.72  Nth Myrtle B,SC
+[SSC]  33.97   80.47  Shaw AFB,SC
+[SPA]  34.92   81.96  Spartanburg,SC
+
+South Dakota
+
+[ABR]  45.45   98.43  Aberdeen,SD
+[BKX]  44.30   96.80  Brookings,SD
+[9V9]  43.80   99.32  Chamberlain,SD
+[CHB]  43.75   99.32  Chamberlain,SD
+[0V1]  43.77  103.60  Custer,SD
+[RCA]  44.15  103.10  Ellsworth Af,SD
+[HON]  44.38   98.22  Huron,SD
+[Y22]  45.93  102.17  Lemmon,SD
+[MHE]  43.77   98.03  Mitchell,SD
+[Y26]  45.53  100.43  Mobridge,SD
+[P05]  44.05  101.60  Philip,SD
+[PHP]  44.05  101.60  Philip,SD
+[PIR]  44.38  100.28  Pierre,SD
+[RAP]  44.05  103.07  Rapid City,SD
+[REJ]  45.16  103.32  Redig,SD
+[FSD]  43.58   96.73  Sioux Falls,SD
+[ATY]  44.92   97.15  Watertown,SD
+[YKN]  42.92   97.38  Yankton,SD
+
+Tennessee
+
+[TRI]  36.48   82.40  Bristol,TN
+[CHA]  35.03   85.20  Chattanooga,TN
+[CKV]  36.62   87.42  Clarksville,TN
+[CSV]  35.95   85.08  Crossville,TN
+[DYR]  36.02   89.40  Dyersburg,TN
+[MKL]  35.60   88.92  Jackson,TN
+[TYS]  35.82   83.98  Knoxville,TN
+[MEM]  35.05   90.00  Memphis Intl,TN
+[NQA]  35.35   89.87  Memphis NAS,TN
+[MGL]  35.15   85.51  Monteagle,TN
+[BNA]  36.12   86.68  Nashville,TN
+[MQY]  36.00   86.50  Smyrna,TN
+
+Texas
+
+[ABI]  32.42   99.68  Abilene,TX
+[ALI]  27.73   98.03  Alice,TX
+[AMA]  35.23  101.70  Amarillo,TX
+[AUS]  30.30   97.70  Austin,TX
+[BSM]  30.20   97.68  Bergstrom Af,TX
+[BGS]  32.39  101.48  Big Sky,TX
+[HCA]  32.30  101.45  Big Spring,TX
+[BRO]  25.90   97.43  Brownsville,TX
+[BWD]  31.79   98.96  Brownwood,TX
+[FWH]  32.78   97.43  Carswell AFB,TX
+[NIR]  28.37   97.67  Chase NAS,TX
+[CDS]  34.43  100.28  Childress,TX
+[CLL]  30.58   96.37  College Stn,TX
+[CRP]  27.77   97.50  Corpus Chrst,TX
+[NGP]  27.70   97.28  Corpus Chrst,TX
+[COT]  28.45   99.22  Cotulla,TX
+[DWH]  30.07   95.55  D.w. Hooks,TX
+[DHT]  36.02  102.55  Dalhart,TX
+[NBE]  32.73   96.97  Dallas NAS,TX
+[ADS]  32.97   96.83  Dallas/Addis,TX
+[DFW]  32.90   97.03  Dallas/FW,TX
+[DAL]  32.85   96.85  Dallas/Love,TX
+[RBD]  32.68   96.87  Dallas/Redbr,TX
+[DRT]  29.37  100.92  Del Rio,TX
+[DYS]  32.43   99.85  Dyess AFB,TX
+[ELP]  31.80  106.40  El Paso,TX
+[EFD]  29.62   95.17  Ellington Af,TX
+[FTW]  32.82   97.35  Fort Worth,TX
+[HLR]  31.15   97.72  Ft Hood Aaf,TX
+[GLS]  29.27   94.87  Galveston,TX
+[GRK]  31.07   97.83  Gray AFB,TX
+[GVT]  33.07   96.07  Greenville,TX
+[GDP]  31.83  104.80  Guadalupe Ps,TX
+[HRL]  26.23   97.67  Harlingen,TX
+[HDO]  29.35   99.17  Hondo,TX
+[IAH]  29.97   95.35  Houston,TX
+[HOU]  29.65   95.28  Houston/Hobby,TX
+[JCT]  30.50   99.77  Junction,TX
+[SKF]  29.38   98.58  Kelly AFB,TX
+[ERV]  29.98   99.08  Kerrville,TX
+[ILE]  31.08   97.68  Killeen,TX
+[NQI]  27.50   97.82  Kingsville,TX
+[LRD]  27.53   99.47  Laredo Intl,TX
+[DLF]  29.37  100.78  Laughlin AFB,TX
+[GGG]  32.38   94.72  Longview,TX
+[LBB]  33.65  101.82  Lubbock,TX
+[LFK]  31.23   94.75  Lufkin,TX
+[MRF]  30.37  104.02  Marfa,TX
+[MFE]  26.18   98.23  Mcallen,TX
+[MAF]  31.95  102.18  Midland,TX
+[MWL]  32.78   98.07  Mineral Wlls,TX
+[PSX]  28.72   96.25  Palacios,TX
+[PRX]  33.63   95.45  Paris/Cox,TX
+[PVW]  34.17  101.71  Plainview,TX
+[BPT]  30.58   94.02  Port Arthur,TX
+[RND]  29.53   98.28  Randolph AFB,TX
+[REE]  33.60  102.05  Reese AFB,TX
+[RKP]  28.08   97.03  Rockport,TX
+[SJT]  31.37  100.50  San Angelo,TX
+[SAT]  29.53   98.47  San Antonio,TX
+[SSF]  29.33   98.47  San Antonio,TX
+[P07]  30.17  102.42  Sanderson,TX
+[F39]  33.72   96.67  Sherman-Deni,TX
+[T46]  28.03   95.87  South Brazos,TX
+[SEP]  32.22   98.18  Stephenville,TX
+[TPL]  31.15   97.42  Temple,TX
+[TYR]  32.37   95.40  Tyler/Pounds,TX
+[VCT]  28.85   96.92  Victoria,TX
+[ACT]  31.62   97.22  Waco-Madison,TX
+[SPS]  33.98   98.50  Wichita Flls,TX
+[INK]  31.78  103.20  Wink,TX
+
+Utah
+
+[4BL]  38.03  109.78  Blanding,UT
+[U17]  37.50  110.70  Bullfrog Mar,UT
+[CDC]  37.70  113.10  Cedar City,UT
+[U24]  39.33  112.58  Delta,UT
+[DPG]  40.20  112.93  Dugway Prvgr,UT
+[U16]  41.05  113.07  Eagle Range,UT
+[U28]  39.00  110.15  Green River,UT
+[4HV]  38.37  110.72  Hanksville,UT
+[HIF]  41.12  111.97  Hill AFB,UT
+[LGU]  41.78  111.85  Logan,UT
+[MLF]  38.72  113.03  Milford,UT
+[CNY]  38.77  109.75  Moab,UT
+[OGD]  41.18  112.02  Ogden,UT
+[PUC]  39.62  110.75  Price/Carbon,UT
+[PVU]  40.22  111.72  Provo,UT
+[U67]  40.50  110.63  Roosevelt,UT
+[SGU]  37.08  113.60  Saint George,UT
+[SLC]  40.78  111.97  Salt Lake Ct,UT
+[T62]  40.17  112.20  Tooele,UT
+[VEL]  40.45  109.52  Vernal,UT
+[ENV]  41.22  114.05  Wendover,UT
+
+Vermont
+
+[BTV]  44.47   73.15  Burlington,VT
+[MPV]  44.20   72.57  Montpelier,VT
+[EFK]  45.55   72.33  Newport,VT
+[RUT]  43.53   73.95  Rutland,VT
+[9B2]  44.42   72.02  St Johnsbury,VT
+[MNW]  42.88   72.88  Wilmington,VT
+
+Virginia
+
+[CHO]  38.13   78.45  Charlottesvi,VA
+[W39]  37.50   76.20  Chesapeake,VA
+[DAN]  36.57   79.33  Danville,VA
+[DAA]  38.72   77.18  Fort Belvoir,VA
+[FAF]  37.13   76.62  Fort Eustis,VA
+[HSP]  37.95   79.82  Hot Springs,VA
+[LFI]  37.08   76.37  Langley AFB,VA
+[LYH]  37.33   79.20  Lynchburg,VA
+[PHF]  37.13   76.50  Newport News,VA
+[NGU]  36.93   76.28  Norfolk NAS,VA
+[ORF]  36.90   76.20  Norfolk Rgnl,VA
+[NTU]  36.82   76.03  Oceana NAS,VA
+[NYG]  38.50   77.30  Quantico Mca,VA
+[RIC]  37.50   77.33  Richmond,VA
+[ROA]  37.32   79.97  Roanoke Muni,VA
+[SHD]  38.27   78.85  Staunton,VA
+[VQN]  36.95   78.98  Volens,VA
+[WAL]  37.85   75.48  Wallops Sta,VA
+
+Washington
+
+[BLI]  48.80  122.53  Bellingham,WA
+[PWT]  47.48  122.77  Bremerton,WA
+[75S]  48.50  122.33  Burlington,WA
+[63S]  48.88  118.47  Colville,WA
+[EPH]  47.32  119.52  Ephrata,WA
+[PAE]  47.92  122.28  Everet/Paine,WA
+[SKA]  47.62  117.65  Fairchild,WA
+[GRF]  47.08  122.58  Fort Lewis,WA
+[HMS]  46.57  119.60  Hanford,WA
+[HQM]  46.97  123.97  Hoquiam,WA
+[TCM]  47.15  122.48  Mcchord AFB,WA
+[MWH]  47.20  119.32  Moses Lake,WA
+[76S]  48.25  122.68  Oak Harbor,WA
+[OLM]  46.97  122.90  Olympia,WA
+[4OM]  48.42  119.53  Omak,WA
+[PSC]  46.27  119.12  Pasco,WA
+[CLM]  48.12  123.50  Port Angeles,WA
+[NOW]  48.22  123.67  Port Angeles,WA
+[PUW]  46.75  117.12  Pullman,WA
+[UIL]  47.95  124.55  Quillayute,WA
+[RNT]  47.50  122.22  Renton,WA
+[SEA]  47.45  122.30  Seattle,WA
+[BFI]  47.53  122.30  Seattle/Boeing,WA
+[SHN]  47.25  123.15  Shelton,WA
+[GEG]  47.63  117.53  Spokane,WA
+[SFF]  47.67  117.33  Spokane,WA
+[SMP]  47.28  121.33  Stampede Pas,WA
+[TIW]  47.27  122.58  Tacoma,WA
+[TDO]  46.48  122.80  Toledo,WA
+[ALW]  46.10  118.28  Walla Walla,WA
+[EAT]  47.40  120.20  Wenatchee,WA
+[NUW]  48.35  122.65  Whidbey Is,WA
+[YKM]  46.57  120.53  Yakima,WA
+
+West Virginia
+
+[BKW]  37.78   81.12  Beckley,WV
+[BLF]  37.30   81.22  Bluefield,WV
+[CRW]  38.37   81.60  Charleston,WV
+[CKB]  39.28   80.23  Clarksburg,WV
+[EKN]  38.88   79.85  Elkins,WV
+[HTS]  38.37   82.55  Huntington,WV
+[LWB]  37.87   80.40  Lewisburg,WV
+[MRB]  39.40   77.98  Martinsburg,WV
+[MGW]  39.65   79.92  Morgantown,WV
+[PKB]  39.35   81.43  Parkersburg,WV
+[HLG]  40.18   80.65  Wheeling,WV
+[SSU]  37.46   80.20  White Sulph,WV
+
+Wisconsin
+
+[ATW]  44.25   88.52  Appleton,WI
+[EAU]  44.87   91.48  Eau Claire,WI
+[GRB]  44.48   88.13  Green Bay,WI
+[JVL]  42.62   89.03  Janesville,WI
+[LSE]  43.87   91.25  La Crosse,WI
+[LNR]  43.20   90.18  Lone Rock,WI
+[MSN]  43.13   89.33  Madison,WI
+[MTW]  44.13   87.67  Manitowac,WI
+[MKE]  42.95   87.90  Milwaukee,WI
+[MWC]  43.12   88.05  Milwaukee,WI
+[CWA]  44.78   89.67  Mosinee,WI
+[EEW]  44.22   88.53  Neenah,WI
+[OSH]  44.00   88.57  Oshkosh,WI
+[RHI]  45.63   89.45  Rhinelander,WI
+[RIE]  45.48   91.72  Rice Lake,WI
+[VOK]  43.93   90.27  Volk Fld,WI
+[AUW]  44.92   89.62  Wausau,WI
+
+Wyoming
+
+[BPI]  42.57  110.10  Big Piney,WY
+[CPR]  42.92  106.47  Casper,WY
+[CYS]  41.15  104.82  Cheyenne,WY
+[COD]  44.52  109.02  Cody,WY
+[4DG]  42.75  105.38  Douglas,WY
+[EVW]  41.33  111.00  Evanston,WY
+[GCC]  44.35  105.53  Gillette,WY
+[JAC]  43.60  110.73  Jackson,WY
+[LND]  42.82  108.73  Lander,WY
+[LAR]  41.32  105.68  Laramie,WY
+[4MC]  44.35  104.81  Moorcroft,WY
+[RWL]  41.80  107.20  Rawlins,WY
+[RIW]  43.05  108.45  Riverton,WY
+[RKS]  41.60  109.07  Rock Springs,WY
+[SHR]  44.77  106.97  Sheridan,WY
+[WRL]  43.97  107.97  Worland,WY
+[P60]  44.55  110.42  Yellowstone,WY
+
+
+ +
+

+ +Find out more about RealEstate3D.com, + email + info@realestate3d.com.
+Copyright © 1996-1997 Orogo Technologies +

+

+ + + + From 533a2e788baaea57aad47734b3bb245613a9afd0 Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Mon, 2 Apr 2018 21:48:23 -0700 Subject: [PATCH 46/90] Create latlongx.htm --- data/latlongx.htm | 80 +++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 80 insertions(+) create mode 100644 data/latlongx.htm diff --git a/data/latlongx.htm b/data/latlongx.htm new file mode 100644 index 0000000..2ddadde --- /dev/null +++ b/data/latlongx.htm @@ -0,0 +1,80 @@ +[TCL] 33.23 87.62 Tuscaloosa,AL +[FLG] 35.13 111.67 Flagstaff,AZ +[PHX] 33.43 112.02 Phoenix,AZ +[PGA] 36.93 111.45 Page,AZ +[TUS] 32.12 110.93 Tucson,AZ +[LIT] 35.22 92.38 Little Rock,AR +[SFO] 37.62 122.38 San Francisco,CA +[LAX] 33.93 118.40 Los Angeles,CA +[SAC] 38.52 121.50 Sacramento,CA +[SAN] 32.73 117.17 San Diego,CA +[SBP] 35.23 120.65 San Luis Obi,CA +[EKA] 41.33 124.28 Eureka,CA +[DEN] 39.75 104.87 Denver,CO +[DCA] 38.85 77.04 Washington/Natl,DC +[MIA] 25.82 80.28 Miami Intl,FL +[TPA] 27.97 82.53 Tampa Intl,FL +[JAX] 30.50 81.70 Jacksonville,FL +[TLH] 30.38 84.37 Tallahassee,FL +[ATL] 33.65 84.42 Atlanta,GA +[BOI] 43.57 116.22 Boise,ID +[CHI] 41.90 87.65 Chicago,IL +[IND] 39.73 86.27 Indianapolis,IN +[DSM] 41.53 93.65 Des Moines,IA +[SUX] 42.40 96.38 Sioux City,IA +[ICT] 37.65 97.43 Wichita,KS +[LEX] 38.05 85.00 Lexington,KY +[NEW] 30.03 90.03 New Orleans,LA +[BOS] 42.37 71.03 Boston,MA +[PWM] 43.65 70.32 Portland,ME +[BGR] 44.80 68.82 Bangor,ME +[CAR] 46.87 68.02 Caribou Mun,ME +[DET] 42.42 83.02 Detroit,MI +[STC] 45.55 94.07 St Cloud,MN +[DLH] 46.83 92.18 Duluth,MN +[STL] 38.75 90.37 St Louis,MO +[JAN] 32.32 90.08 Jackson,MS +[BIL] 45.80 108.53 Billings,MT +[BTM] 45.95 112.50 Butte,MT +[RDU] 35.87 78.78 Raleigh-Durh,NC +[INT] 36.13 80.23 Winston-Salem,NC +[OMA] 41.30 95.90 Omaha/Eppley,NE +[LAS] 36.08 115.17 Las Vegas,NV +[RNO] 39.50 119.78 Reno,NV +[AWH] 41.33 116.25 Wildhorse,NV +[EWR] 40.70 74.17 Newark Intl,NJ +[SAF] 35.62 106.08 Santa Fe,NM +[NYC] 40.77 73.98 New York,NY +[BUF] 42.93 78.73 Buffalo,NY +[ALB] 42.75 73.80 Albany,NY +[FAR] 46.90 96.80 Fargo,ND +[BIS] 46.77 100.75 Bismarck,ND +[CVG] 39.05 84.67 Cincinnati,OH +[CLE] 41.42 81.87 Cleveland,OH +[OKC] 35.40 97.60 Oklahoma Cty,OK +[PDX] 45.60 122.60 Portland,OR +[MFR] 42.37 122.87 Medford,OR +[AGC] 40.35 79.93 Pittsburgh,PA +[PVD] 41.73 71.43 Providence,RI +[CHS] 32.90 80.03 Charleston,SC +[RAP] 44.05 103.07 Rapid City,SD +[FSD] 43.58 96.73 Sioux Falls,SD +[MEM] 35.05 90.00 Memphis Intl,TN +[TYS] 35.82 83.98 Knoxville,TN +[CRP] 27.77 97.50 Corpus Chrst,TX +[DRT] 29.37 100.92 Del Rio,TX +[IAH] 29.97 95.35 Houston,TX +[SAT] 29.53 98.47 San Antonio,TX +[LGU] 41.78 111.85 Logan,UT +[SLC] 40.78 111.97 Salt Lake Ct,UT +[SGU] 37.08 113.60 Saint George,UT +[CNY] 38.77 109.75 Moab,UT +[MPV] 44.20 72.57 Montpelier,VT +[RIC] 37.50 77.33 Richmond,VA +[BLI] 48.80 122.53 Bellingham,WA +[SEA] 47.45 122.30 Seattle,WA +[ALW] 46.10 118.28 Walla Walla,WA +[GRB] 44.48 88.13 Green Bay,WI +[MKE] 42.95 87.90 Milwaukee,WI +[CYS] 41.15 104.82 Cheyenne,WY +[SHR] 44.77 106.97 Sheridan,WY From 2e4717a3f25901f6774a33404b424660b7935e06 Mon Sep 17 00:00:00 2001 From: Mengchen Yu <14204594+yu-mc@users.noreply.github.com> Date: Thu, 5 Apr 2018 21:33:29 -0500 Subject: [PATCH 47/90] Fix one typo in xkcd-Name-Dominoes.ipynb --- ipynb/xkcd-Name-Dominoes.ipynb | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/ipynb/xkcd-Name-Dominoes.ipynb b/ipynb/xkcd-Name-Dominoes.ipynb index 03c944b..e344460 100644 --- a/ipynb/xkcd-Name-Dominoes.ipynb +++ b/ipynb/xkcd-Name-Dominoes.ipynb @@ -28,7 +28,7 @@ "- **`try_one(tiles, board, frontier)`**: pop a location off the frontier, and try to find some tile that can legally put one of its halves there; when found, `put` the tile there, and remove it from `tiles`.\n", "- **`legal(name, loc, board)`**: a name can be placed if the location is empty, and there are no conflicts with any neighboring location.\n", "- **`neighbors(loc, board)`**: returns the (up to 4) neighbors of a location that are on the board.\n", - "- **`put_tile(board, loc0, loc1, tile, frontier)`**: places a tile on the board across `loc0` and `loc`; update the `frontier` to say that the just-covered locations are no longer in the frontier, but the empty neighbors of the tile are.\n", + "- **`put_tile(board, loc0, loc1, tile, frontier)`**: places a tile on the board across `loc0` and `loc1`; update the `frontier` to say that the just-covered locations are no longer in the frontier, but the empty neighbors of the tile are.\n", "- **`shuffle(items)`**: used to randomize lists; calls `random.shuffle` and returns the result.\n", "\n", "# The Code" From 02a3259b4e9cd4000d02899f50e6c094a1c168be Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Fri, 6 Apr 2018 14:51:43 -0700 Subject: [PATCH 48/90] Add files via upload --- ipynb/Beal.ipynb | 275 ++++++++++++++++++++++++++++------------------- 1 file changed, 165 insertions(+), 110 deletions(-) diff --git a/ipynb/Beal.ipynb b/ipynb/Beal.ipynb index 71cad1f..da0760a 100644 --- a/ipynb/Beal.ipynb +++ b/ipynb/Beal.ipynb @@ -11,7 +11,7 @@ } }, "source": [ - "

Peter Norvig 22 October 2015, revised 28 October 2015, 4 July 2017
\n", + "
Peter Norvig 2000; revised 2015—2018
\n", "\n", "# Beal's Conjecture Revisited\n", "\n", @@ -25,26 +25,20 @@ "made his conjecture in 1993:\n", "\n", "> If $A^x + B^y = C^z$, \n", - ">
where $A, B, C, x, y, z$ are positive integers and $x, y, z$ are all greater than $2$, \n", + ">
where $A, B, C, x, y, z$ are positive integers \n", + ">
and $x, y, z$ are all greater than $2$, \n", ">
then $A, B$ and $C$ must have a common prime factor.\n", "\n", - "[Andrew Wiles](https://en.wikipedia.org/wiki/Andrew_Wiles) proved Fermat's theorem in 1995, but Beal's conjecture remains unproved, and Beal has offered [$1,000,000](http://www.ams.org/profession/prizes-awards/ams-supported/beal-prize) for a proof or disproof. I don't have the mathematical skills of Wiles, so I could never find a proof, but I can write a program to search for counterexamples. I first wrote [that program in 2000](http://norvig.com/beal2000.html), and [my name got associated](https://www.google.com/webhp?sourceid=chrome-instant&ion=1&espv=2&ie=UTF-8#q=beal%20conjecture) with Beal's Conjecture, which means I get a lot of emails with purported proofs or counterexamples (many asking how they can collect their prize money). So far, all the emails have been wrong. This page catalogs some of the more common errors and updates my 2000 program." - ] - }, - { - "cell_type": "markdown", - "metadata": { - "button": false, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "source": [ + "[Andrew Wiles](https://en.wikipedia.org/wiki/Andrew_Wiles) proved Fermat's theorem in 1995, but Beal's conjecture remains unproved, and Beal has offered [$1,000,000](http://www.ams.org/profession/prizes-awards/ams-supported/beal-prize) for a proof or disproof. I don't have the mathematical skills of Wiles, so I could never find a proof, but I can write a program to search for counterexamples. I first wrote [that program in 2000](http://norvig.com/beal2000.html), and [my name got associated](https://www.google.com/webhp?#q=beal conjecture) with Beal's Conjecture, which means I get a lot of emails with purported proofs or counterexamples (many asking how they can collect their prize money). So far, all the emails have been wrong. This notebook catalogs some of the more common errors, updates my 2000 program, and introduces this tool:\n", + "\n", + "# Online Beal Counterexample Checker\n", + "\n", + "If you think you might have a valid counterexample, you should check it with my [Online Beal Counterexample Checker](http://norvig.com/bealcheck.html).\n", + "\n", "# How to Not Win A Million Dollars\n", "\n", "\n", - "* A proof must show that there are no examples that satisfy the conditions. A common error is to show how a certain pattern generates an infinite collection of numbers that satisfy $A^x + B^y = C^z$ and then show that in all of these, $A, B, C$ have a common factor. But that's not good enough, unless you can also prove that no other pattern exists.\n", + "* A proof must show that there are **no** examples that satisfy the conditions. A common error is to show how a certain pattern generates an infinite number of $(A, x, B, y, C, z)$ examples, and that the conjecture holds for this entire infinite collection. But that's not good enough, unless you can also prove that the conjecture holds for every other possible pattern.\n", "\n", "

\n", "\n", @@ -53,18 +47,12 @@ "\n", "

\n", "\n", - "* A valid counterexample needs to satisfy all four conditions—don't leave one out:\n", + "* A valid counterexample needs to satisfy all four conditions—don't leave one out.\n", "\n", - "> $A, B, C, x, y, z$ are positive integers
\n", - "$x, y, z > 2$
\n", - "$A^x + B^y = C^z$
\n", - "$A, B, C$ have no common prime factor.\n", - "\n", - "(If you think you might have a valid counterexample, before you share it with Andrew Beal or anyone else, you can check it with my [Online Beal Counterexample Checker](http://norvig.com/bealcheck.html).)\n", "\n", "

\n", "\n", - "* One correspondent claimed that $27^4 + 162 ^ 3 = 9 ^ 7$ was a solution, because the first three conditions hold, and the common factor is 9, which isn't a prime. But of course, if $A, B, C$ have 9 as a common factor, then they also have 3, and 3 is prime. The phrase \"no common prime factor\" means the same thing as \"no common factor greater than 1.\"\n", + "* One correspondent claimed that $27^4 + 162 ^ 3 = 9 ^ 7$ was a solution, because the first three conditions hold, and the common factor is 9, which isn't a prime. But of course, if $A, B, C$ have 9 as a common factor, then they also have 3, and 3 is prime. \"No common prime factor\" means the same thing as \"no common factor greater than 1.\"\n", "\n", "

\n", "\n", @@ -72,11 +60,11 @@ "\n", "

\n", "\n", - "* A creative person offered $1359072^4 - 940896^4 = 137998080^3$, which fails both because $3^3 2^5 11^2$ is a common factor, and because it has a subtraction rather than an addition (although, as Julius Jacobsen pointed out, that can be rectified by adding $940896^4$ to both sides).\n", + "* A creative person offered $1359072^4 - 940896^4 = 137998080^3$, which fails both because $3^3 2^5 11^2$ is a common factor, and because it has a subtraction rather than an addition (although, as Julius Jacobsen pointed out, it could be rewritten as $137998080^3 + 940896^4 = 1359072^4$).\n", "\n", "

\n", "\n", - "* Mustafa Pehlivan came up with an example involving 76-million-digit numbers, which took some work to prove wrong (by using modulo arithmetic). \n", + "* Mustafa Pehlivan came up with an example involving 76-million-digit numbers, which took some work to prove wrong (using modulo arithmetic). \n", "\n", "

\n", "\n", @@ -84,7 +72,7 @@ "\n", "

\n", "\n", - "* Multiple people proposed answers similar to this one:" + "* Multiple people proposed counterexamples similar to this one:" ] }, { @@ -92,15 +80,35 @@ "execution_count": 1, "metadata": { "button": false, - "collapsed": true, + "collapsed": false, "new_sheet": false, "run_control": { "read_only": false } }, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 1, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ - "from math import gcd #### In Python versions < 3.5, use \"from fractions import gcd\"" + "A, B, C = 60000000000000000000, 70000000000000000000, 82376613842809255677\n", + "x = y = z = 3.\n", + "A ** x + B ** y == C ** z" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "That's interesting; the equality is true. But to show that this is a valid counterexample, we have to show that `A, B, C` have no common factor; that is, that their greatest common divisor (`gcd`) is 1:" ] }, { @@ -108,6 +116,7 @@ "execution_count": 2, "metadata": { "button": false, + "collapsed": false, "new_sheet": false, "run_control": { "read_only": false @@ -126,11 +135,9 @@ } ], "source": [ - "A, B, C = 60000000000000000000, 70000000000000000000, 82376613842809255677\n", + "from math import gcd #### In Python versions < 3.5, use \"from fractions import gcd\"\n", "\n", - "x = y = z = 3.\n", - "\n", - "A ** x + B ** y == C ** z and gcd(gcd(A, B), C) == 1" + "gcd(gcd(A, B), C) == 1" ] }, { @@ -143,9 +150,9 @@ } }, "source": [ - "**WOW! The result is `True`!** Is this a real counterexample to Beal? And also a disproof of Fermat?\n", + "**WOW! The result is `True`!** Is this a real counterexample to Beal? And also a disproof of Fermat's Last Theorem?\n", "\n", - "Alas, it is not. Notice the decimal point in \"`3.`\", indicating a floating point number, with inexact, limited precision. Change the inexact \"`3.`\" to an exact \"`3`\" and the result changes to \"`False`\". Below we see that the two sides of the equation are the same for the first 18 digits, but differ starting with the 19th: " + "Alas, it is not. The decimal point in \"`x = y = z = 3.`\" indicates a floating point number, with inexact, limited precision. Change the inexact \"`3.`\" to an exact \"`3`\" and the two sides of the equation are no longer equal. Below we see they are the same for the first 18 digits, but differ starting with the 19th: " ] }, { @@ -153,6 +160,7 @@ "execution_count": 3, "metadata": { "button": false, + "collapsed": false, "new_sheet": false, "run_control": { "read_only": false @@ -186,49 +194,43 @@ } }, "source": [ - "They say \"close\" only counts in horseshoes and hand grenades, and if you threw two horseshoes at a stake on the planet [Kapteyn-b](https://en.wikipedia.org/wiki/Kapteyn_b) (a possibly habitable and thus possibly horseshoe-playing exoplanet 12.8 light years from Earth) and the two paths differed in the 19th digit, the horseshoes would end up [less than an inch](https://www.google.com/webhp?sourceid=chrome-instant&ion=1&espv=2&ie=UTF-8#q=12.8%20light%20years%20*%201e-19%20in%20inches) apart. That's really, really close, but close doesn't count in number theory.\n", + "They say \"close\" only counts in horseshoes and hand grenades, and if you threw two horseshoes at a stake on **[Kapteyn-b](https://en.wikipedia.org/wiki/Kapteyn_b)** (an exoplanet 12.8 light years from Earth that is habitable and thus possibly horseshoe-playing) and the two paths differed in the 19th digit, the horseshoes would end up [less than an inch](https://www.google.com/webhp?sourceid=chrome-instant&ion=1&espv=2&ie=UTF-8#q=12.8%20light%20years%20*%201e-19%20in%20inches) apart. That's really, really close, but close doesn't count in number theory.\n", + "\n", + "![Kapteyn-b and Homer Simpson](https://norvig.com/homer.png)\n", + "

Left: [Kapteyn-b](https://www.space.com/26115-oldest-habitable-alien-planet-kapteyn-b.html).     Right: [Homer Simpson](https://www.youtube.com/watch?time_continue=1&v=ReOQ300AcSU).
\n", "\n", "\n", "# *The Simpsons* and Fermat\n", "\n", "In two different [episodes of *The Simpsons*](http://www.npr.org/sections/krulwich/2014/05/08/310818693/did-homer-simpson-actually-solve-fermat-s-last-theorem-take-a-look), close counterexamples to Fermat's Last Theorem are shown: \n", - "$1782^{12} + 1841^{12} = 1922^{12}$ and $3987^{12} + 4365^{12} = 4472^{12}$. These were designed by *Simpsons* writer David X. Cohen to be correct up to the precision found in most handheld calculators. Cohen found the equations with a program that must have been something like this:" + "$3987^{12} + 4365^{12} = 4472^{12}$ and $1782^{12} + 1841^{12} = 1922^{12}$. These were designed by *Simpsons* writer David X. Cohen to be correct up to the precision found in most handheld calculators. Cohen found the equations with a program that must have been something like this:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { - "button": false, - "collapsed": true, - "new_sheet": false, - "run_control": { - "read_only": false - } + "collapsed": false }, "outputs": [], "source": [ + "from collections import namedtuple\n", "from itertools import combinations\n", "\n", - "def simpsons(bases, powers):\n", - " \"\"\"Find the integers (A, B, C, n) that come closest to solving \n", - " Fermat's equation, A ** n + B ** n == C ** n. \n", - " Let A, B range over all pairs of bases and n over all powers.\"\"\"\n", - " equations = ((A, B, iroot(A ** n + B ** n, n), n)\n", - " for A, B in combinations(bases, 2)\n", - " for n in powers)\n", - " return min(equations, key=relative_error)\n", + "Fermat = namedtuple('Fermat', 'A, B, C, n')\n", "\n", - "def iroot(i, n): \n", - " \"The integer closest to the nth root of i.\"\n", - " return int(round(i ** (1./n)))\n", - "\n", - "def relative_error(equation):\n", - " \"Error between LHS and RHS of equation, relative to RHS.\" \n", + "def err(equation):\n", + " \"The relative error in a Fermat-style equation\"\n", " (A, B, C, n) = equation\n", - " LHS = A ** n + B ** n\n", - " RHS = C ** n\n", - " return abs(LHS - RHS) / RHS" + " return abs(A ** n + B ** n - C ** n) / C ** n\n", + "\n", + "def simpsons(bases, powers):\n", + " \"\"\"Find the Fermat equation that minimizes the error (the\n", + " difference between A ** n + B ** n and C ** n). \n", + " Let A, B range over all pairs of bases and n over all powers.\"\"\"\n", + " return min((Fermat(A, B, int((A ** n + B ** n) ** (1/n)), n) \n", + " for A, B in combinations(bases, 2) for n in powers),\n", + " key=err)" ] }, { @@ -236,6 +238,7 @@ "execution_count": 5, "metadata": { "button": false, + "collapsed": false, "new_sheet": false, "run_control": { "read_only": false @@ -245,7 +248,7 @@ { "data": { "text/plain": [ - "(1782, 1841, 1922, 12)" + "Fermat(A=3987, B=4365, C=4472, n=12)" ] }, "execution_count": 5, @@ -254,7 +257,7 @@ } ], "source": [ - "simpsons(range(1000, 2000), [11, 12, 13])" + "simpsons(range(3000, 5000), range(11, 14))" ] }, { @@ -262,6 +265,7 @@ "execution_count": 6, "metadata": { "button": false, + "collapsed": false, "new_sheet": false, "run_control": { "read_only": false @@ -271,7 +275,7 @@ { "data": { "text/plain": [ - "(3987, 4365, 4472, 12)" + "Fermat(A=1010, B=1897, C=1988, n=3)" ] }, "execution_count": 6, @@ -280,7 +284,53 @@ } ], "source": [ - "simpsons(range(3000, 5000), [12])" + "simpsons(range(1000, 2000), range(3, 16))" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(63976656349698612616236230953154487896987106,\n", + " 63976656348486725806862358322168575784124416)" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "3987 ** 12 + 4365 ** 12, 4472 ** 12" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(2541210258614589176288669958142428526657,\n", + " 2541210259314801410819278649643651567616)" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "1782 ** 12 + 1841 ** 12, 1922 ** 12" ] }, { @@ -293,21 +343,22 @@ } }, "source": [ - "# Back to Beal\n", + "# Back to `beal`\n", "\n", "In October 2015 I looked back at my original [program from 2000](http://norvig.com/beal2000.html).\n", - "I ported it from Python 1.5 to 3.5 (by putting parens around the argument to `print` and adding `long = int`). The program runs 250 times faster today than it did in 2000, a tribute to both computer hardware engineers and the developers of the Python interpreter.\n", + "I ported it from Python 1.5 to 3.5 (`print` is now a function, `long` is `int`). It runs 250 times faster today, a tribute to both computer hardware engineers and the developers of the Python interpreter.\n", "\n", - "I found that I was a bit confused about the definition of [the problem in 2000](https://web.archive.org/web/19991127081319/http://bealconjecture.com/). I thought then that, *by definition*, $A$ and $B$ could not have a common factor, but actually, the definition of the conjecture only rules out examples where all three of $A, B, C$ share a common factor. Mark Tiefenbruck (and later Edward P. Berlin and Shen Lixing) wrote to point out that my thought was actually correct, not by definition, but by derivation: if $A$ and $B$ have a commmon prime factor $p$, then the sum of $A^x + B^y$ must also have that factor $p$, and since $A^x + B^y = C^z$, then $C^z$ and hence $C$ must have the factor $p$. So I was wrong twice, and in this case two wrongs did make a right.\n", + "I found that I had [misstated the problem](https://web.archive.org/web/19991127081319/http://bealconjecture.com/) in 2000. I thought that, *by definition*, $A$ and $B$ could not have a common factor, but actually, \n", + "the conjecture only rules out examples where all three of $A, B, C$ share a common factor. But, as [Mark Tiefenbruck](mailto:mark @tiefenbruck.org) (as well as Edward P. Berlin and Shen Lixing) pointed out, my statement is correct, not by definition, but *by derivation:* if $A$ and $B$ have a commmon prime factor $p$, then the sum of $A^x + B^y$ must also have that factor $p$, and hence $C^z$, and $C$, must have the factor $p$.\n", "\n", - "Mark Tiefenbruck also suggested an optimization: only consider exponents that are odd primes, or 4. The idea is that a number like 512 can be expressed as either $2^9$ or $8^3$, and my program doesn't need to consider both. In general, any time we have a composite exponent, such as $b^{qp}$, where $p$ is prime, we should ignore $b^{(qp)}$, and instead consider only $(b^q)^p$. There's one complication to this scheme: 2 is a prime, but 2 is not a valid exponent for a Beal counterexample. So we will allow 4 as an exponent, as well as all odd primes up to `max_x`.\n", + "Mark Tiefenbruck also suggested another optimization: only consider exponents that are odd primes, or 4. The idea is that a number like 512 can be expressed as either $2^9$ or $8^3$, and my program doesn't need to consider both. In general, any time we have a composite exponent, such as $b^{qp}$, where $p$ is prime, we should ignore $A=b, x=qp$, and instead consider only $A=b^q, x=p$. There's one complication to this scheme: 2 is a prime, but 2 is not a valid exponent for a Beal counterexample. So we will allow 4 as an exponent, as well as all odd primes up to `max_x`.\n", "\n", - "Here is the complete, updated, refactored, optimized program:" + "Here is the complete, updated program:" ] }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 9, "metadata": { "button": false, "collapsed": true, @@ -373,9 +424,10 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 10, "metadata": { "button": false, + "collapsed": false, "new_sheet": false, "run_control": { "read_only": false @@ -386,8 +438,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 256 ms, sys: 1.44 ms, total: 257 ms\n", - "Wall time: 256 ms\n" + "CPU times: user 362 ms, sys: 3.33 ms, total: 366 ms\n", + "Wall time: 406 ms\n" ] } ], @@ -410,9 +462,10 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 11, "metadata": { "button": false, + "collapsed": false, "new_sheet": false, "run_control": { "read_only": false @@ -423,8 +476,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 29.1 s, sys: 25.2 ms, total: 29.2 s\n", - "Wall time: 29.2 s\n" + "CPU times: user 43.3 s, sys: 335 ms, total: 43.7 s\n", + "Wall time: 46.5 s\n" ] } ], @@ -454,9 +507,10 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 12, "metadata": { "button": false, + "collapsed": false, "new_sheet": false, "run_control": { "read_only": false @@ -474,7 +528,7 @@ " 6: [216, 1296, 7776, 279936]}" ] }, - "execution_count": 10, + "execution_count": 12, "metadata": {}, "output_type": "execute_result" } @@ -499,9 +553,10 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 13, "metadata": { "button": false, + "collapsed": false, "new_sheet": false, "run_control": { "read_only": false @@ -534,7 +589,7 @@ " 279936: 6}" ] }, - "execution_count": 11, + "execution_count": 13, "metadata": {}, "output_type": "execute_result" } @@ -546,8 +601,10 @@ }, { "cell_type": "code", - "execution_count": 12, - "metadata": {}, + "execution_count": 14, + "metadata": { + "collapsed": false + }, "outputs": [ { "data": { @@ -555,7 +612,7 @@ "3" ] }, - "execution_count": 12, + "execution_count": 14, "metadata": {}, "output_type": "execute_result" } @@ -584,9 +641,10 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 15, "metadata": { "button": false, + "collapsed": false, "new_sheet": false, "run_control": { "read_only": false @@ -632,9 +690,10 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 16, "metadata": { "button": false, + "collapsed": false, "new_sheet": false, "run_control": { "read_only": false @@ -647,7 +706,7 @@ "{True}" ] }, - "execution_count": 14, + "execution_count": 16, "metadata": {}, "output_type": "execute_result" } @@ -676,12 +735,12 @@ } }, "source": [ - "I get nervous having an incorrect version of `gcd` around; let's change it back, quick!" + "I get nervous having an incorrect version of `gcd` around: change it back, quick!" ] }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 17, "metadata": { "button": false, "collapsed": true, @@ -712,9 +771,10 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 18, "metadata": { "button": false, + "collapsed": false, "new_sheet": false, "run_control": { "read_only": false @@ -727,7 +787,7 @@ "'tests pass'" ] }, - "execution_count": 16, + "execution_count": 18, "metadata": {}, "output_type": "execute_result" } @@ -832,7 +892,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 19, "metadata": { "button": false, "collapsed": true, @@ -897,8 +957,10 @@ }, { "cell_type": "code", - "execution_count": 18, - "metadata": {}, + "execution_count": 20, + "metadata": { + "collapsed": false + }, "outputs": [ { "data": { @@ -911,7 +973,7 @@ " 6: [(216, 3), (296, 4), (776, 5), (936, 7)]}" ] }, - "execution_count": 18, + "execution_count": 20, "metadata": {}, "output_type": "execute_result" } @@ -937,9 +999,10 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 21, "metadata": { "button": false, + "collapsed": false, "new_sheet": false, "run_control": { "read_only": false @@ -971,7 +1034,7 @@ " 936: [(6, 7)]})" ] }, - "execution_count": 19, + "execution_count": 21, "metadata": {}, "output_type": "execute_result" } @@ -995,9 +1058,10 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 22, "metadata": { "button": false, + "collapsed": false, "new_sheet": false, "run_control": { "read_only": false @@ -1008,8 +1072,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 35.5 s, sys: 44.1 ms, total: 35.5 s\n", - "Wall time: 35.5 s\n" + "CPU times: user 1min 2s, sys: 646 ms, total: 1min 3s\n", + "Wall time: 1min 8s\n" ] } ], @@ -1035,15 +1099,6 @@ "\n", "This was fun, but I can't recommend anyone spend a serious amount of computer time looking for counterexamples to the Beal Conjecture—the money you would have to spend in computer time would be more than the expected value of your prize winnings. I suggest you work on a proof rather than a counterexample, or work on some other interesting problem instead!" ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [] } ], "metadata": { @@ -1062,7 +1117,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.5.3" + "version": "3.6.0" } }, "nbformat": 4, From 8e2e19f696846c2db2161dbed66cf9cd753395aa Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Fri, 6 Apr 2018 15:00:17 -0700 Subject: [PATCH 49/90] Add files via upload --- ipynb/Beal.ipynb | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/ipynb/Beal.ipynb b/ipynb/Beal.ipynb index da0760a..51eba8b 100644 --- a/ipynb/Beal.ipynb +++ b/ipynb/Beal.ipynb @@ -29,11 +29,11 @@ ">
and $x, y, z$ are all greater than $2$, \n", ">
then $A, B$ and $C$ must have a common prime factor.\n", "\n", - "[Andrew Wiles](https://en.wikipedia.org/wiki/Andrew_Wiles) proved Fermat's theorem in 1995, but Beal's conjecture remains unproved, and Beal has offered [$1,000,000](http://www.ams.org/profession/prizes-awards/ams-supported/beal-prize) for a proof or disproof. I don't have the mathematical skills of Wiles, so I could never find a proof, but I can write a program to search for counterexamples. I first wrote [that program in 2000](http://norvig.com/beal2000.html), and [my name got associated](https://www.google.com/webhp?#q=beal conjecture) with Beal's Conjecture, which means I get a lot of emails with purported proofs or counterexamples (many asking how they can collect their prize money). So far, all the emails have been wrong. This notebook catalogs some of the more common errors, updates my 2000 program, and introduces this tool:\n", + "[Andrew Wiles](https://en.wikipedia.org/wiki/Andrew_Wiles) proved Fermat's theorem in 1995, but Beal's conjecture remains unproved, and Beal has offered [one million dollars](http://www.ams.org/profession/prizes-awards/ams-supported/beal-prize) for a proof or disproof. I don't have the mathematical skills of Wiles, so I could never find a proof, but I can write a program to search for counterexamples. I first wrote [that program in 2000](http://norvig.com/beal2000.html), and [my name got associated](https://www.google.com/webhp?#q=beal conjecture) with Beal's Conjecture, which means I get a lot of emails with purported proofs or counterexamples (many asking how they can collect their prize money). So far, all the emails have been wrong. This notebook catalogs some of the more common errors, updates my 2000 program, and introduces this tool:\n", "\n", "# Online Beal Counterexample Checker\n", "\n", - "If you think you might have a valid counterexample, you should check it with my [Online Beal Counterexample Checker](http://norvig.com/bealcheck.html).\n", + "Got a counterexample? Check it with my **[Online Beal Counterexample Checker](http://norvig.com/bealcheck.html)**.\n", "\n", "# How to Not Win A Million Dollars\n", "\n", @@ -197,7 +197,7 @@ "They say \"close\" only counts in horseshoes and hand grenades, and if you threw two horseshoes at a stake on **[Kapteyn-b](https://en.wikipedia.org/wiki/Kapteyn_b)** (an exoplanet 12.8 light years from Earth that is habitable and thus possibly horseshoe-playing) and the two paths differed in the 19th digit, the horseshoes would end up [less than an inch](https://www.google.com/webhp?sourceid=chrome-instant&ion=1&espv=2&ie=UTF-8#q=12.8%20light%20years%20*%201e-19%20in%20inches) apart. That's really, really close, but close doesn't count in number theory.\n", "\n", "![Kapteyn-b and Homer Simpson](https://norvig.com/homer.png)\n", - "
Left: [Kapteyn-b](https://www.space.com/26115-oldest-habitable-alien-planet-kapteyn-b.html).     Right: [Homer Simpson](https://www.youtube.com/watch?time_continue=1&v=ReOQ300AcSU).
\n", + "Left: [Kapteyn-b](https://www.space.com/26115-oldest-habitable-alien-planet-kapteyn-b.html).     Right: [Homer Simpson](https://www.youtube.com/watch?time_continue=1&v=ReOQ300AcSU).\n", "\n", "\n", "# *The Simpsons* and Fermat\n", From 51cdd63b5ba4b2795195bd48dbd1cfd84bb50c87 Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Fri, 6 Apr 2018 15:05:14 -0700 Subject: [PATCH 50/90] Add files via upload --- ipynb/Beal.ipynb | 14 ++------------ 1 file changed, 2 insertions(+), 12 deletions(-) diff --git a/ipynb/Beal.ipynb b/ipynb/Beal.ipynb index 51eba8b..e41e1c8 100644 --- a/ipynb/Beal.ipynb +++ b/ipynb/Beal.ipynb @@ -33,44 +33,34 @@ "\n", "# Online Beal Counterexample Checker\n", "\n", - "Got a counterexample? Check it with my **[Online Beal Counterexample Checker](http://norvig.com/bealcheck.html)**.\n", + "Got a counterexample? Check it with my [Online Beal Counterexample Checker](http://norvig.com/bealcheck.html).\n", "\n", "# How to Not Win A Million Dollars\n", "\n", "\n", "* A proof must show that there are **no** examples that satisfy the conditions. A common error is to show how a certain pattern generates an infinite number of $(A, x, B, y, C, z)$ examples, and that the conjecture holds for this entire infinite collection. But that's not good enough, unless you can also prove that the conjecture holds for every other possible pattern.\n", "\n", - "

\n", "\n", "* It is valid to use proof by contradiction: assume the conjecture is true, and show that that leads to a contradiction. It is not valid to use proof by circular reasoning: assume the conjecture is true, put in some irrelevant steps, and show that it follows that the conjecture is true.\n", "\n", "\n", - "

\n", - "\n", "* A valid counterexample needs to satisfy all four conditions—don't leave one out.\n", "\n", "\n", - "

\n", - "\n", "* One correspondent claimed that $27^4 + 162 ^ 3 = 9 ^ 7$ was a solution, because the first three conditions hold, and the common factor is 9, which isn't a prime. But of course, if $A, B, C$ have 9 as a common factor, then they also have 3, and 3 is prime. \"No common prime factor\" means the same thing as \"no common factor greater than 1.\"\n", "\n", - "

\n", "\n", "* Another claimed that $2^3+2^3=2^4$ was a counterexample, because all the bases are 2, which is prime, and prime numbers have no prime factors. But that's not true; a prime number has itself as a factor.\n", "\n", - "

\n", "\n", "* A creative person offered $1359072^4 - 940896^4 = 137998080^3$, which fails both because $3^3 2^5 11^2$ is a common factor, and because it has a subtraction rather than an addition (although, as Julius Jacobsen pointed out, it could be rewritten as $137998080^3 + 940896^4 = 1359072^4$).\n", "\n", - "

\n", "\n", "* Mustafa Pehlivan came up with an example involving 76-million-digit numbers, which took some work to prove wrong (using modulo arithmetic). \n", "\n", - "

\n", "\n", - "* Another Beal fan started by saying \"Let $C = 43$ and $z = 3$. Since $43 = 21 + 22$, we have $43^3 = (21^3 + 22^3).$\" But of course $(a + b)^3 \\ne (a^3 + b^3)$. This fallacy is called [the freshman's dream](https://en.wikipedia.org/wiki/Freshman%27s_dream) (although I remember having different dreams as a freshman).\n", + "* Another Beal fan started by saying \"Let $C = 43$ and $z = 3$. Since $43 = 21 + 22$, we have $43^3 = (21^3 + 22^3)$.\" But of course $(a + b)^3 \\ne (a^3 + b^3)$. This fallacy is called [the freshman's dream](https://en.wikipedia.org/wiki/Freshman%27s_dream) (although I remember having different dreams as a freshman).\n", "\n", - "

\n", "\n", "* Multiple people proposed counterexamples similar to this one:" ] From 8f7f1a718d174b8a64de4f02bdd53cc7c2b1cefc Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Fri, 6 Apr 2018 17:50:12 -0700 Subject: [PATCH 51/90] Add files via upload --- ipynb/Beal.ipynb | 294 ++++++++++++++++++----------------------------- 1 file changed, 111 insertions(+), 183 deletions(-) diff --git a/ipynb/Beal.ipynb b/ipynb/Beal.ipynb index e41e1c8..24ac4bd 100644 --- a/ipynb/Beal.ipynb +++ b/ipynb/Beal.ipynb @@ -33,7 +33,7 @@ "\n", "# Online Beal Counterexample Checker\n", "\n", - "Got a counterexample? Check it with my [Online Beal Counterexample Checker](http://norvig.com/bealcheck.html).\n", + "Got a counterexample? Verify it with my [Beal Counterexample Checker](http://norvig.com/bealcheck.html).\n", "\n", "# How to Not Win A Million Dollars\n", "\n", @@ -53,7 +53,7 @@ "* Another claimed that $2^3+2^3=2^4$ was a counterexample, because all the bases are 2, which is prime, and prime numbers have no prime factors. But that's not true; a prime number has itself as a factor.\n", "\n", "\n", - "* A creative person offered $1359072^4 - 940896^4 = 137998080^3$, which fails both because $3^3 2^5 11^2$ is a common factor, and because it has a subtraction rather than an addition (although, as Julius Jacobsen pointed out, it could be rewritten as $137998080^3 + 940896^4 = 1359072^4$).\n", + "* A creative person offered $ 1359072^4 - 940896^4 = 137998080^3$, which fails both because $ 3^3 2^5 11^2 $ is a common factor, and because it has a subtraction rather than an addition (although, as Julius Jacobsen pointed out, it could be rewritten as $ 137998080^3 + 940896^4 = 1359072^4 $).\n", "\n", "\n", "* Mustafa Pehlivan came up with an example involving 76-million-digit numbers, which took some work to prove wrong (using modulo arithmetic). \n", @@ -89,16 +89,27 @@ } ], "source": [ + "from math import gcd #### In Python versions < 3.5, use \"from fractions import gcd\"\n", + "\n", "A, B, C = 60000000000000000000, 70000000000000000000, 82376613842809255677\n", "x = y = z = 3.\n", - "A ** x + B ** y == C ** z" + "\n", + "A ** x + B ** y == C ** z and gcd(gcd(A, B), C) == 1" ] }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "button": false, + "new_sheet": false, + "run_control": { + "read_only": false + } + }, "source": [ - "That's interesting; the equality is true. But to show that this is a valid counterexample, we have to show that `A, B, C` have no common factor; that is, that their greatest common divisor (`gcd`) is 1:" + "**WOW! The result is `True`!** The two sides of the equation are equal, and the greatest common divisor is 1. Is this a real counterexample to Beal? And also a disproof of Fermat's Last Theorem?\n", + "\n", + "Alas, it is not. The decimal point in \"`x = y = z = 3.`\" indicates a floating point number, with inexact, limited precision. Change the inexact \"`3.`\" to an exact \"`3`\" and the two sides of the equation are no longer equal. Below we see they are the same for the first 18 digits, but differ starting with the 19th: " ] }, { @@ -112,50 +123,6 @@ "read_only": false } }, - "outputs": [ - { - "data": { - "text/plain": [ - "True" - ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "from math import gcd #### In Python versions < 3.5, use \"from fractions import gcd\"\n", - "\n", - "gcd(gcd(A, B), C) == 1" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "button": false, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "source": [ - "**WOW! The result is `True`!** Is this a real counterexample to Beal? And also a disproof of Fermat's Last Theorem?\n", - "\n", - "Alas, it is not. The decimal point in \"`x = y = z = 3.`\" indicates a floating point number, with inexact, limited precision. Change the inexact \"`3.`\" to an exact \"`3`\" and the two sides of the equation are no longer equal. Below we see they are the same for the first 18 digits, but differ starting with the 19th: " - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "button": false, - "collapsed": false, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, "outputs": [ { "data": { @@ -164,7 +131,7 @@ " 559000000000000000063037470301555182935702892172500189973733)" ] }, - "execution_count": 3, + "execution_count": 2, "metadata": {}, "output_type": "execute_result" } @@ -196,131 +163,92 @@ "$3987^{12} + 4365^{12} = 4472^{12}$ and $1782^{12} + 1841^{12} = 1922^{12}$. These were designed by *Simpsons* writer David X. Cohen to be correct up to the precision found in most handheld calculators. Cohen found the equations with a program that must have been something like this:" ] }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1782**12 + 1841**12 == 1922**12 has relative error of 3e-10\n", + "3987**12 + 4365**12 == 4472**12 has relative error of 2e-11\n" + ] + } + ], + "source": [ + "from itertools import combinations\n", + "\n", + "def Fermat(A, B, n):\n", + " \"Return a tuple of the form (error, A, B, C, n)\"\n", + " C = int(round((A ** n + B ** n) ** (1/n)))\n", + " lhs, rhs = A ** n + B ** n, C ** n\n", + " error = abs(lhs - rhs) / rhs\n", + " return (error, A, B, C, n)\n", + "\n", + "def simpsons(bases, powers):\n", + " \"\"\"Find the Fermat equation that minimizes the error.\"\"\"\n", + " return min(Fermat(A, B, n) \n", + " for A, B in combinations(bases, 2) \n", + " for n in powers)\n", + "\n", + "def show(fermat):\n", + " (error, A, B, C, n) = fermat\n", + " print('{}**{} + {}**{} == {}**{} has relative error of {:.0g}'\n", + " .format(A, n, B, n, C, n, error))\n", + " \n", + "show(simpsons(range(1000, 2000), [12]))\n", + "show(simpsons(range(3000, 5000), [12]))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "These are the same two equations that David X. Cohen found. The sides of the equations are nearly equal, up to 10 or 11 decimal places, respectively.\n", + "\n", + "Can we do better? The following search will take about 8 minutes:" + ] + }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, - "outputs": [], - "source": [ - "from collections import namedtuple\n", - "from itertools import combinations\n", - "\n", - "Fermat = namedtuple('Fermat', 'A, B, C, n')\n", - "\n", - "def err(equation):\n", - " \"The relative error in a Fermat-style equation\"\n", - " (A, B, C, n) = equation\n", - " return abs(A ** n + B ** n - C ** n) / C ** n\n", - "\n", - "def simpsons(bases, powers):\n", - " \"\"\"Find the Fermat equation that minimizes the error (the\n", - " difference between A ** n + B ** n and C ** n). \n", - " Let A, B range over all pairs of bases and n over all powers.\"\"\"\n", - " return min((Fermat(A, B, int((A ** n + B ** n) ** (1/n)), n) \n", - " for A, B in combinations(bases, 2) for n in powers),\n", - " key=err)" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": { - "button": false, - "collapsed": false, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "2196**3 + 5984**3 == 6081**3 has relative error of 4e-12\n" + ] + }, { "data": { "text/plain": [ - "Fermat(A=3987, B=4365, C=4472, n=12)" + "(224866629440, 224866629441)" ] }, - "execution_count": 5, + "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "simpsons(range(3000, 5000), range(11, 14))" + "(_, A, B, C, n) = f = simpsons(range(1000, 6000), range(3, 13))\n", + "show(f)\n", + "A ** n + B ** n, C ** n" ] }, { - "cell_type": "code", - "execution_count": 6, - "metadata": { - "button": false, - "collapsed": false, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "outputs": [ - { - "data": { - "text/plain": [ - "Fermat(A=1010, B=1897, C=1988, n=3)" - ] - }, - "execution_count": 6, - "metadata": {}, - "output_type": "execute_result" - } - ], + "cell_type": "markdown", + "metadata": {}, "source": [ - "simpsons(range(1000, 2000), range(3, 16))" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "(63976656349698612616236230953154487896987106,\n", - " 63976656348486725806862358322168575784124416)" - ] - }, - "execution_count": 7, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "3987 ** 12 + 4365 ** 12, 4472 ** 12" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "(2541210258614589176288669958142428526657,\n", - " 2541210259314801410819278649643651567616)" - ] - }, - "execution_count": 8, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "1782 ** 12 + 1841 ** 12, 1922 ** 12" + "This is an equation that differs by just 1 in the 12th and last decmal place." ] }, { @@ -348,7 +276,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 5, "metadata": { "button": false, "collapsed": true, @@ -414,7 +342,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 6, "metadata": { "button": false, "collapsed": false, @@ -428,8 +356,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 362 ms, sys: 3.33 ms, total: 366 ms\n", - "Wall time: 406 ms\n" + "CPU times: user 354 ms, sys: 4.32 ms, total: 358 ms\n", + "Wall time: 376 ms\n" ] } ], @@ -447,12 +375,12 @@ } }, "source": [ - "The execution time goes up roughly with the square of `max_A`, so the following should take about 100 times longer:" + "The execution time goes up roughly with the square of `max_A`, so the following should take about 25 times longer:" ] }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 7, "metadata": { "button": false, "collapsed": false, @@ -466,13 +394,13 @@ "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 43.3 s, sys: 335 ms, total: 43.7 s\n", - "Wall time: 46.5 s\n" + "CPU times: user 11.1 s, sys: 152 ms, total: 11.3 s\n", + "Wall time: 12.3 s\n" ] } ], "source": [ - "%time beal(1000, 100)" + "%time beal(500, 100)" ] }, { @@ -497,7 +425,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 8, "metadata": { "button": false, "collapsed": false, @@ -518,7 +446,7 @@ " 6: [216, 1296, 7776, 279936]}" ] }, - "execution_count": 12, + "execution_count": 8, "metadata": {}, "output_type": "execute_result" } @@ -543,7 +471,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 9, "metadata": { "button": false, "collapsed": false, @@ -579,7 +507,7 @@ " 279936: 6}" ] }, - "execution_count": 13, + "execution_count": 9, "metadata": {}, "output_type": "execute_result" } @@ -591,7 +519,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 10, "metadata": { "collapsed": false }, @@ -602,7 +530,7 @@ "3" ] }, - "execution_count": 14, + "execution_count": 10, "metadata": {}, "output_type": "execute_result" } @@ -631,7 +559,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 11, "metadata": { "button": false, "collapsed": false, @@ -680,7 +608,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 12, "metadata": { "button": false, "collapsed": false, @@ -696,7 +624,7 @@ "{True}" ] }, - "execution_count": 16, + "execution_count": 12, "metadata": {}, "output_type": "execute_result" } @@ -730,7 +658,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 13, "metadata": { "button": false, "collapsed": true, @@ -761,7 +689,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 14, "metadata": { "button": false, "collapsed": false, @@ -777,7 +705,7 @@ "'tests pass'" ] }, - "execution_count": 18, + "execution_count": 14, "metadata": {}, "output_type": "execute_result" } @@ -882,7 +810,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 15, "metadata": { "button": false, "collapsed": true, @@ -947,7 +875,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 16, "metadata": { "collapsed": false }, @@ -963,7 +891,7 @@ " 6: [(216, 3), (296, 4), (776, 5), (936, 7)]}" ] }, - "execution_count": 20, + "execution_count": 16, "metadata": {}, "output_type": "execute_result" } @@ -989,7 +917,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 17, "metadata": { "button": false, "collapsed": false, @@ -1024,7 +952,7 @@ " 936: [(6, 7)]})" ] }, - "execution_count": 21, + "execution_count": 17, "metadata": {}, "output_type": "execute_result" } @@ -1048,7 +976,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 18, "metadata": { "button": false, "collapsed": false, @@ -1062,8 +990,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 1min 2s, sys: 646 ms, total: 1min 3s\n", - "Wall time: 1min 8s\n" + "CPU times: user 55.9 s, sys: 530 ms, total: 56.4 s\n", + "Wall time: 59.6 s\n" ] } ], From 96c60cd2533422726230bac65585bbd76b629cfc Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Sun, 8 Apr 2018 00:34:23 -0700 Subject: [PATCH 52/90] Add files via upload --- ipynb/TSP.ipynb | 5077 +++++++++++++++-------------------------------- 1 file changed, 1583 insertions(+), 3494 deletions(-) diff --git a/ipynb/TSP.ipynb b/ipynb/TSP.ipynb index 84af5c5..6c40a72 100644 --- a/ipynb/TSP.ipynb +++ b/ipynb/TSP.ipynb @@ -4,61 +4,50 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# The Traveling Salesperson Problem" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Consider the [*Traveling Salesperson Problem*](http://en.wikipedia.org/wiki/Traveling_salesman_problem): \n", + "# The Traveling Salesperson Problem\n", "\n", - "> *Given a set of cities and the distances between each pair of cities, what is the shortest possible tour that visits each city exactly once, and returns to the starting city?*\n", + "Consider the [*Traveling Salesperson Problem*](http://en.wikipedia.org/wiki/Traveling_salesman_problem) (or TSP): \n", "\n", - "In this notebook we will develop some solutions to the problem, and more generally show *how to think about* solving a problem like this. [Elsewhere](https://research.googleblog.com/2016/09/the-280-year-old-algorithm-inside.html) you can read about how the algorithms developed here are used in serious applications that millions of people rely on every day.\n", + "> *Given a set of cities and the distance between each pair of cities, what is the shortest possible tour that visits each city exactly once, and returns to the starting city?*\n", "\n", - "\n", + "In this notebook we will develop some solutions to the problem, and more generally show *how to think about* solving problems. The algorithms developed here are used in [serious applications](https://research.googleblog.com/2016/09/the-280-year-old-algorithm-inside.html) that millions of people rely on every day.\n", + "\n", + "\n", "

An example tour.
\n", " \n", - "# Understanding What We're Talking About (Vocabulary)\n", + "# Understanding What We're Talking About\n", "\n", - "Do we understand precisely what the problem is asking? Do we understand all the concepts that the problem talks about? Do we understand them well enough to implement them in a programming language? Let's take a first pass:\n", + "Do we understand the problem statement well enough to program a solution? Let's check:\n", "\n", - "- **A set of cities**: We will need to represent a set of cities; Python's `set` datatype might be appropriate.\n", - "- **Distance between each pair of cities**: If `A` and `B` are cities, this could be a function, `distance(A, B),` or a table lookup, `distance[A][B]`. The resulting distance will be a real number.\n", - "- **City**: All we have to know about an individual city is how far it is from other cities. We don't have to know its name, population, best restaurants, or anything else. So a city could be just an integer (0, 1, 2, ...) used as an index into a distance table, or a city could be a pair of (x, y) coordinates, if we are using straight-line distance on a plane.\n", - "- **Tour**: A tour is a specified order in which to visit the cities; Python's `list` or `tuple` datatypes would work. For example, given the set of cities `{A, B, C, D}`, a tour might be the list `[B, D, A, C]`, which means to travel from `B` to `D` to `A` to `C` and finally back to `B`.\n", - "- **Shortest possible tour**: The shortest tour is the one whose tour length is the minimum of all tours.\n", - "- **Tour length**: The sum of the distances between adjacent cities in the tour (including the last city back to the first city). Probably a function, `tour_length(tour)`.\n", - "- **What is ...**: We can define a function to answer the question *what is the shortest possible tour?* The function takes a set of cities as input and returns a tour as output. I will use the convention that any such function will have a name ending in the letters \"`tsp`\", the traditional abbreviation for Traveling Salesperson Problem.\n", + "- ***Given a set of cities***\n", + "
A Python `set` could represent a set of cities. An individual city might be just an integer index, or it might be (x, y) coordinates.\n", + "- ... ***and the distance between each pair of cities***: \n", + "
We could use either a function, `distance(A, B),` or a table, `distance[A, B]`.\n", + "- ... ***what is the shortest possible tour***\n", + "
A tour is a sequential order in which to visit the cities; a function `shortest_tour(tours)` should find the one that minimizes `tour_length(tour)`, which is the sum of the distances between adjacent cities in the tour. \n", + "- ... ***that visits each city once and returns to the starting city***\n", + "
Make sure a tour doesn't re-visit a city (except returning to the start). \n", "\n", - "At this stage I have a rough sketch of how to attack the problem. I don't have all the answers, and I haven't committed to specific representations for all the concepts, but I know what all the pieces are, and I don't see anything that stops me from proceeding." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Here are the imports used throughout this notebook. I'm assuming Python 3." + "\n", + "\n", + "I don't yet have all the answers, but I'm ready to attack the problem. " ] }, { "cell_type": "code", "execution_count": 1, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ + "# Imports used in this notebook. This is Python 3 on Jupyter with matplotlib.\n", "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import random\n", - "import time\n", - "import itertools\n", - "import urllib\n", - "import csv\n", - "import functools\n", - "from statistics import mean, stdev" + "from time import clock \n", + "from itertools import permutations, combinations\n", + "from functools import lru_cache as cache\n", + "from collections import Counter\n", + "from statistics import mean, median" ] }, { @@ -72,521 +61,231 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Let's start with an algorithm that is guaranteed to solve the problem, although it is inefficient for large sets of cities:\n", + "Let's start with an algorithm that is *guaranteed* to solve the problem, although inefficiently:\n", "\n", "> **All Tours Algorithm**: *Generate all possible tours of the cities, and choose the shortest tour (the one with minimum tour length).*\n", "\n", - "My design philosophy is to first write an English description of the algorithm, then write Python code that closely mirrors the English description. This will probably require some auxiliary functions and data structures; just assume they exist; put them on a TO DO list, and eventually define them with the same design philosophy.\n", - "\n", - "Here is the start of the implementation:" + "My design philosophy is to first write an English description of the algorithm (as above), then write Python code that closely mirrors the English description. This will probably require some auxilliary functions and data structures; just assume they exist; put them on a TO DO list, and eventually define them with the same design philosophy:" ] }, { "cell_type": "code", "execution_count": 2, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "def alltours_tsp(cities):\n", " \"Generate all possible tours of the cities and choose the shortest tour.\"\n", " return shortest_tour(alltours(cities))\n", "\n", - "def shortest_tour(tours): \n", - " \"Choose the tour with the minimum tour length.\"\n", - " return min(tours, key=tour_length)\n", + "def shortest_tour(tours): return min(tours, key=tour_length)\n", "\n", - "# TO DO: Data types: cities, tours, Functions: alltours, tour_length" + "# TO DO: Data types: City, Cities, Tour; Functions: alltours, tour_length" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "**Note**: In Python `min(`*collection*`,key=`*function*`)` means to find the element *x* that is a member of *collection* such that *function(x)* is minimized. So `shortest` finds the tour whose `tour_length` in the minimal among the tours. \n", + "This gives us a good start; the Python code closely matches the English description. Now for the TO DO list.\n", "\n", - "This gives us a good start; the Python code closely matches the English description. And we know what we need to do next: represent cities and tours, and implement the functions `alltours` and `tour_length`. Let's start with tours.\n", + "**Cities:** the only thing we need to know about a city is its distance to other cities. We don't need to know the city's name, population, best restaurants, or anything else. We'll assume the distance between two cities is the [Euclidean distance](http://en.wikipedia.org/wiki/Euclidean_distance), the straight-line distance between points in a two-dimensional plane. So I want `City(300, 100)` to be the city with x-coordinate 300 and y coordinate 100. At first glance it seems like Python does not have a builtin type for a point in the two-dimensional plane, but actually there is one: complex numbers. I'll implement `City` with `complex`, which means the distance between two cities, `distance(A, B)`, is the absolute value of the vector difference between them. \n", "\n", - "\n", - "Representing Tours\n", - "------------------\n", - "\n", - "A tour starts in one city, and then visits each of the other cities in order, before returning to the start city. A natural representation of a tour is a sequence of cities. For example `(1, 2, 3)` could represent a tour that starts in city 1, moves to 2, then 3, and finally returns to 1. \n", - "\n", - "**Note**: I considered using `(1, 2, 3, 1)` as the representation of this tour. I also considered an ordered list of **edges** between cities: \n", - "`((1, 2), (2, 3), (3, 1))`. In the end, I decided `(1, 2, 3)` was simplest.\n", - " \n", - "\n", - "Now for the `alltours` function. If a tour is a sequence of cities, then all the tours are *permutations* of the set of all cities. A function to generate all permutations of a set is already provided in Python's standard `itertools` library module; we can use it as our implementation of `alltours`:" + "I'll also define `Cities(n)` to make a set of `n` cities. I want `Cities` to be reproducible (to return the same result when called with the same arguments), so I provide a keyword argument that sets `random.seed`. " ] }, { "cell_type": "code", "execution_count": 3, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ - "alltours = itertools.permutations " + "City = complex\n", + "\n", + "def Cities(n, seed=123, width=999, height=666):\n", + " \"Make a set of n cities, sampled uniformly from a (width x height) rectangle.\"\n", + " random.seed((n, seed))\n", + " return frozenset(City(random.randint(1, width), random.randint(1, height))\n", + " for c in range(n))\n", + "\n", + "def distance(A, B): return abs(A - B)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "For *n* cities there are *n*! (that is, the factorial of *n*) permutations.\n", - "Here's are all 3! = 6 tours of 3 cities:" + "**Tours:** A tour that starts in city `1`, moves to `2`, then `3`, then back to `1` will be represented by `(1, 2, 3)`. Any valid tour of a set of cities will be a *permutation* of the cities. That means we can implement `alltours` with the built-in `permutations` function (from the `itertools` module). \n", + "\n", + "The length of a tour is the sum of the distances between adjacent cities in the tour—the sum of the lengths of the **links** between cities in the tour. " ] }, { "cell_type": "code", "execution_count": 4, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "[(1, 2, 3), (1, 3, 2), (2, 1, 3), (2, 3, 1), (3, 1, 2), (3, 2, 1)]" - ] - }, - "execution_count": 4, - "metadata": {}, - "output_type": "execute_result" - } - ], + "metadata": {}, + "outputs": [], "source": [ - "cities = {1, 2, 3}\n", + "alltours = permutations \n", "\n", - "list(alltours(cities))" + "def tour_length(tour):\n", + " \"\"\"The total of distances between each pair of consecutive cities in the tour.\n", + " This includes the last-to-first, distance(tour[-1], tour[0])\"\"\"\n", + " return sum(distance(tour[i - 1], tour[i]) \n", + " for i in range(len(tour)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "The length of a tour is the sum of the lengths of each edge in the tour; in other words, the sum of the distances between consecutive cities in the tour, including the distance form the last city back to the first:" + "# A solution!\n", + "\n", + "Now we're ready: `alltours_tsp` can find a tour for a set of cities:" ] }, { "cell_type": "code", "execution_count": 5, - "metadata": { - "collapsed": false - }, - "outputs": [], + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "((158+421j),\n", + " (297+397j),\n", + " (832+102j),\n", + " (872+207j),\n", + " (817+315j),\n", + " (939+600j),\n", + " (620+498j),\n", + " (163+639j),\n", + " (31+501j))" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ - "def tour_length(tour):\n", - " \"The total of distances between each pair of consecutive cities in the tour.\"\n", - " return sum(distance(tour[i], tour[i-1]) \n", - " for i in range(len(tour)))\n", - "\n", - "# TO DO: Functions: distance, Data types: cities" + "alltours_tsp(Cities(9))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "**Note**: I use one Python-specific trick: when `i` is 0, then `distance(tour[0], tour[-1])` gives us the wrap-around distance between the first and last cities, because `tour[-1]` is the last element of `tour`. \n", + "Quick, is that the shortest tour? I can't tell. But this should help:\n", "\n", - "Representing Cities\n", - "--------------------------------\n", - "\n", - "We determined that the only thing that matters about cities is the distance between them. But before we can decide about how to represent cities, and before we can define `distance(A, B)`, we have to make a choice. In the fully general version of the TSP, the \"distance\" between two cities could be anything: it could factor in the amount of time it takes to travel between cities, the twistiness of the road, or anything else. The `distance(A, B)` might be different from `distance(B, A)`. So the distances could be represented by a matrix `distance[A][B]`, where any entry in the matrix could be any (non-negative) numeric value.\n", - " \n", - "But we will ignore the fully general TSP and concentrate on an important special case, the **Euclidean TSP**, where the distance between any two cities is the [Euclidean distance](http://en.wikipedia.org/wiki/Euclidean_distance), the straight-line distance between points in a two-dimensional plane. So a city can be represented by a two-dimensional point: a pair of *x* and *y* coordinates. We will use the constructor function `City`, so that `City(300, 0)` creates a city with x-coordinate of 300 and y coordinate of 0. Then `distance(A, B)` will be a function that uses the *x* and *y* coordinates to compute the distance between `A` and `B`.\n", - "\n", - "Representing Points and Computing `distance`\n", - "---\n", - " \n", - "OK, so a city can be represented as just a two-dimensional point. But how will we represent points? Here are some choices, with their pros and cons:\n", - "\n", - "* **tuple:** A point is a two-tuple of (*x*, *y*) coordinates, for example, `(300, 0)`. **Pro:** Very simple. \n", - "**Con:** doesn't distinguish Points from other two-tuples. \n", - " \n", - "* **class:** Define a custom `Point` class with *x* and *y* slots. **Pro:** explicit, gives us `p.x` and `p.y` accessors. **Con:** less efficient.\n", - " \n", - "* **complex:** Python already has the two-dimensional point as a built-in numeric data type, but in a non-obvious way: as `complex` numbers, which inhabit the two-dimensional (real × imaginary) plane. **Pro:** efficient. **Con:** a little confusing; doesn't distinguish Points from other complex numbers.\n", - "* **subclass of complex:** All the pros of `complex`, and eliminating the major con.\n", - "\n", - "\n", - "Any of these choices would work perfectly well; I decided to use a subclass of `complex`:" + "## Visualizing results: `plot_tour` and `do`\n" ] }, { "cell_type": "code", "execution_count": 6, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ - "# Cities are represented as Points, which are a subclass of complex numbers\n", - "\n", - "class Point(complex):\n", - " x = property(lambda p: p.real)\n", - " y = property(lambda p: p.imag)\n", + "def plot_tour(tour, style='bo-'): \n", + " \"Plot every city and link in the tour, and highlight start city.\"\n", + " if len(tour) > 1000: plt.figure(figsize=(15, 10))\n", + " start = tour[0:1]\n", + " plot_segment(tour + start, style)\n", + " plot_segment(start, 'rD') # start city is red Diamond.\n", " \n", - "City = Point\n", - "\n", - "def distance(A, B): \n", - " \"The distance between two points.\"\n", - " return abs(A - B)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Here's an example of computing the distance between two cities:" + "def plot_segment(segment, style='bo-'):\n", + " \"Plot every city and link in the segment.\"\n", + " plt.plot([X(c) for c in segment], [Y(c) for c in segment], style, clip_on=False)\n", + " plt.axis('scaled')\n", + " plt.axis('off')\n", + " \n", + "def X(city): \"X coordinate.\"; return city.real\n", + "def Y(city): \"Y coordinate.\"; return city.imag" ] }, { "cell_type": "code", "execution_count": 7, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { + "image/png": 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\n", "text/plain": [ - "5.0" + "" ] }, - "execution_count": 7, "metadata": {}, - "output_type": "execute_result" + "output_type": "display_data" } ], "source": [ - "A = City(3, 0)\n", - "B = City(0, 4)\n", - "distance(A, B)" + "plot_tour(alltours_tsp(Cities(9)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Random Sets of Cities\n", - "---\n", + "That looks much better! It certainly looks like the shortest possible tour, although I can't prove it. \n", "\n", - "The input to a TSP algorithm should be a set of cities. I can make a random set of *n* cities by calling `City` *n* times, each with different random *x* and *y* coordinates:" + "*Vocabulary note:* A **segment** is a portion of a tour that does not loop back to the start. The **segment** `(1, 2, 3)` has only two links, 1-2 and 2-3, whereas the **tour** `(1, 2, 3)` has three links, because it includes the link back to the start, 3-1.\n", + "\n", + "One more convenience: the function `do` runs a TSP algorithm on a set of cities, plots the tour, asserts it is valid, and prints summary information. " ] }, { "cell_type": "code", "execution_count": 8, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "{(193+375j), (427+384j), (497+585j), (179+546j), (224+543j), (245+643j)}" - ] - }, - "execution_count": 8, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "{City(random.randrange(1000), random.randrange(1000)) for c in range(6)}" - ] - }, - { - "cell_type": "markdown", "metadata": {}, + "outputs": [], "source": [ - "The function `Cities` does that (and a bit more):" + "def do(algorithm, cities):\n", + " \"Apply a TSP algorithm to cities, plot the result, and print info.\"\n", + " t0 = clock()\n", + " tour = algorithm(cities)\n", + " t1 = clock()\n", + " assert Counter(tour) == Counter(cities) # Every city appears exactly once in tour\n", + " plot_tour(tour)\n", + " print(\"{}: {} cities ⇒ tour length {:.0f} (in {:.3f} sec)\".format(\n", + " name(algorithm), len(tour), tour_length(tour), t1 - t0))\n", + " \n", + "def name(algorithm): return algorithm.__name__.replace('_tsp', '')" ] }, { "cell_type": "code", "execution_count": 9, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "def Cities(n, width=900, height=600, seed=42):\n", - " \"Make a set of n cities, each with random coordinates within a (width x height) rectangle.\"\n", - " random.seed(seed * n)\n", - " return frozenset(City(random.randrange(width), random.randrange(height))\n", - " for c in range(n))" - ] - }, - { - "cell_type": "markdown", "metadata": {}, - "source": [ - "There are three complications that I decided to tackle in `Cities`:\n", - "\n", - "1. IPython's matplotlib plots (by default) in a rectangle that is 1.5 times wider than it is high; that's why I specified a width of 900 and a height of 600. If you want the coordinates of your cities to be bounded by a different size rectangle, you can change width or height.\n", - "\n", - "2. Sometimes I want `Cities(n)` to be a true function, returning the same result each time. This is very helpful for getting repeatable results: if I run a test twice, I get the same results twice. \n", - "But other times I would like to be able to do an experiment, where, for example, I call `Cities(n)` 30 times and get 30 different sets, and I then compute the average tour length produced by my algorithm across these 30 sets. Can I get both behaviors out of one function? *Yes!* The trick is the additional optional parameter, `seed`. Two calls to `Cities` with the same `n` and `seed` parameters will always return the same set of cities, and two calls with different values for `seed` will return different sets. This is implemented by calling the function `random.seed`, which resets the random number generator.\n", - "\n", - "3. Once I create a set of Cities, I don't want anyone messing with my set. For example, I don't want an algorithm that claims to \"solve\" a problem by deleting half the cities from the input set, then finding a tour of the remaining cities. Therefore, I make `Cities` return a `frozenset` rather than a `set`. A `frozenset` is *immutable*; nobody can change it once it is created. (Likewise, each city is immutable.)\n", - "\n", - "For example:" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": { - "collapsed": false - }, "outputs": [ - { - "data": { - "text/plain": [ - "frozenset({(172+20j), (234+40j), (696+415j), (393+7j), (671+296j)})" - ] - }, - "execution_count": 10, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# A set of 5 cities\n", - "Cities(5)" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "[frozenset({(172+20j), (234+40j), (696+415j), (393+7j), (671+296j)}),\n", - " frozenset({(172+20j), (234+40j), (696+415j), (393+7j), (671+296j)}),\n", - " frozenset({(172+20j), (234+40j), (696+415j), (393+7j), (671+296j)})]" - ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# The exact same set of 5 cities each time\n", - "[Cities(5) for i in range(3)]" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "[frozenset({(414+310j), (776+430j), (41+265j), (864+394j), (523+497j)}),\n", - " frozenset({(814+542j), (29+476j), (637+261j), (759+367j), (794+255j)}),\n", - " frozenset({(439+494j), (211+473j), (585+33j), (832+503j), (591+15j)})]" - ] - }, - "execution_count": 12, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# A different set of 5 cities each time\n", - "[Cities(5, seed=i) for i in range(3)]" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now we are ready to apply the `alltours_tsp` function to find the shortest tour:" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "((6+546j),\n", - " (199+147j),\n", - " (350+65j),\n", - " (737+26j),\n", - " (847+187j),\n", - " (891+465j),\n", - " (554+374j),\n", - " (505+548j))" - ] - }, - "execution_count": 13, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "alltours_tsp(Cities(8))" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "2509.307587720301" - ] - }, - "execution_count": 14, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "tour_length(alltours_tsp(Cities(8)))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Quick, is that the right answer? I have no idea, and you probably can't tell either. But if we could *plot* the tour we'd understand it better and might be able to see at a glance if the tour is optimal.\n", - "\n", - "Plotting Tours\n", - "---\n", - "\n", - "I define `plot_tour(tour)` to plot the cities (as circles) and the tour (as lines):" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "def plot_tour(tour): \n", - " \"Plot the cities as circles and the tour as lines between them.\"\n", - " plot_lines(list(tour) + [tour[0]])\n", - " \n", - "def plot_lines(points, style='bo-'):\n", - " \"Plot lines to connect a series of points.\"\n", - " plt.plot([p.x for p in points], [p.y for p in points], style)\n", - " plt.axis('scaled'); plt.axis('off')" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plot_tour(alltours_tsp(Cities(8)))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "That looks much better! To me, it looks like the shortest possible tour, although I don't have an easy way to prove it. Let's go one step further and define a function, `plot_tsp(algorithm, cities)` that will take a TSP algorithm (such as `alltours_tsp`) and a set of cities, apply the algorithm to the cities to get a tour, check that the tour is reasonable, plot the tour, and print information about the length of the tour and the time it took to find it:" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "def plot_tsp(algorithm, cities):\n", - " \"Apply a TSP algorithm to cities, plot the resulting tour, and print information.\"\n", - " # Find the solution and time how long it takes\n", - " t0 = time.clock()\n", - " tour = algorithm(cities)\n", - " t1 = time.clock()\n", - " assert valid_tour(tour, cities)\n", - " plot_tour(tour); plt.show()\n", - " print(\"{} city tour with length {:.1f} in {:.3f} secs for {}\"\n", - " .format(len(tour), tour_length(tour), t1 - t0, algorithm.__name__))\n", - " \n", - "def valid_tour(tour, cities):\n", - " \"Is tour a valid tour for these cities?\"\n", - " return set(tour) == set(cities) and len(tour) == len(cities)" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, { "name": "stdout", "output_type": "stream", "text": [ - "8 city tour with length 2509.3 in 0.110 secs for alltours_tsp\n" + "alltours: 9 cities ⇒ tour length 2450 (in 1.088 sec)\n" ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ - "plot_tsp(alltours_tsp, Cities(8))" + "do(alltours_tsp, Cities(9))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "## All Non-Redundant Tours Algorithm (improved `alltours_tsp`)" + "## Optimization: non-redundant `alltours`" ] }, { @@ -598,10 +297,8 @@ }, { "cell_type": "code", - "execution_count": 19, - "metadata": { - "collapsed": false - }, + "execution_count": 10, + "metadata": {}, "outputs": [ { "data": { @@ -609,7 +306,7 @@ "[(1, 2, 3), (1, 3, 2), (2, 1, 3), (2, 3, 1), (3, 1, 2), (3, 2, 1)]" ] }, - "execution_count": 19, + "execution_count": 10, "metadata": {}, "output_type": "execute_result" } @@ -622,45 +319,34 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "But this is redundant: `(1, 2, 3)`, `(2, 3, 1)`, and `(3, 1, 2)` are three ways of describing the same tour. So let's arbitrarily say that all tours must start with the first city in the set of cities. We'll just pull the first city out, and then tack it back on to all the permutations of the rest of the cities. \n", - "\n", - "While we're re-assembling a tour from the start city and the rest, we'll take the opportunity to construct the tour as a *list* rather than a *tuple*. It doesn't matter much now, but later on we will want to represent *partial* tours, to which we will want to append cities one by one; appending can only be done to lists, not tuples." + "But this is redundant: `(1, 2, 3)`, `(2, 3, 1)`, and `(3, 1, 2)` are three ways of describing the same tour. So let's arbitrarily say that all tours must start with the first city in the set of cities. While we're redefining `alltours`, we'll take the opportunity to define a tour as a *list* rather than a *tuple*. It doesn't matter now, but I anticipate wanting to represent *partial* tours, to which we will append cities one by one; appending can be done to lists, but not tuples." ] }, { "cell_type": "code", - "execution_count": 20, - "metadata": { - "collapsed": false - }, + "execution_count": 11, + "metadata": {}, "outputs": [], "source": [ "def alltours(cities):\n", - " \"Return a list of tours, each a permutation of cities, but each one starting with the same city.\"\n", - " start = first(cities)\n", - " return [[start] + Tour(rest)\n", - " for rest in itertools.permutations(cities - {start})]\n", - "\n", - "def first(collection):\n", - " \"Start iterating over collection, and return the first element.\"\n", - " return next(iter(collection))\n", - "\n", - "Tour = list # Tours are implemented as lists of cities" + " \"Return a list of non-redundant tours (permutations of cities).\"\n", + " start, *others = cities\n", + " return [[start] + Tour(perm) for perm in permutations(others)]\n", + " \n", + "Tour = list # A Tour is a list of cities" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "We can verify that for 3 cities there are now only 2 tours (not 6) and for 4 cities there are 6 tours (not 24):" + "We can verify that for 3 cities there are now only 2 tours, and that `alltours_tsp` can now do 10 cities in about the time it took to do 9 before:" ] }, { "cell_type": "code", - "execution_count": 21, - "metadata": { - "collapsed": false - }, + "execution_count": 12, + "metadata": {}, "outputs": [ { "data": { @@ -668,7 +354,7 @@ "[[1, 2, 3], [1, 3, 2]]" ] }, - "execution_count": 21, + "execution_count": 12, "metadata": {}, "output_type": "execute_result" } @@ -679,1130 +365,805 @@ }, { "cell_type": "code", - "execution_count": 22, - "metadata": { - "collapsed": false - }, + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "alltours: 10 cities ⇒ tour length 2720 (in 1.521 sec)\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "do(alltours_tsp, Cities(10))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Computational Complexity and General Strategies\n", + "\n", + "It takes 1 or 2 seconds to solve a 10-city problem. Since `alltours` looks at all permutations, an 11-city problem would take about 11 times longer, and a 15-city problem would take days.\n", + "There must be a better way ... \n", + "\n", + "To get inspired, here are some general strategies for algorithm design: \n", + "\n", + "* **Brute Force Strategy**: That's what we used for `alltours_tsp`; as [Ken Thompson](https://en.wikipedia.org/wiki/Ken_Thompson) [says](https://www.brainyquote.com/quotes/ken_thompson_185574?src=t_brute_force), *\"when in doubt, use brute force.\"*\n", + "* **Approximation Strategy**: If it is too hard to find a precise, optimal solution, consider finding an approximate, suboptimal solution.\n", + "* **Greeedy Strategy**: To complete a multiple step problem, first do the step that has the best gain. Repeat. \n", + "* **Improvement Strategy**: Use an existing algorithm to create a solution, then have another algorithm improve the solution.\n", + "* **Ensemble Strategy**: Apply a set of algorithms to the problem, and pick the best solution. \n", + "* **Divide and Conquer Strategy**: Split the problem in half, solve each half, and combine the two partial solutions.\n", + "* **Stand on the Shoulders of Giants Strategy**: Find out what other people have done, and copy (or modify).\n", + "\n", + "Let's apply these strategies to develop some TSP algorithms.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Nearest Neighbor Algorithm: `nn_tsp`\n", + "\n", + "> **Nearest Neighbor Algorithm:** *Start at some city; at each step extend the tour by moving from the previous city to its nearest neighbor that has not yet been visited.*\n", + "\n", + "This is an instance of both the **approximation strategy** and the **greedy strategy**, where we are being greedy about choosing the shortest link to a neighbor. So now, instead of considering all *n*! tours, we incrementally build a single tour. \n", + "In more detail:\n", + "\n", + "* ***Start at some city*** (pass the start city as an argument, or if `None`, use the first city in the set)\n", + "* ***... at each step extend the tour*** (using `tour.append`)\n", + "* ***... by moving from the previous city*** (the previous city is `tour[-1]`)\n", + "* ***...to its nearest neighbor*** (as given by the function `nearest_neighbor`)\n", + "* ***...that has not yet been visited*** (I will maintain a set of `unvisited` cities)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [], + "source": [ + "def nn_tsp(cities, start=None):\n", + " \"\"\"Start the tour at the given start city (default: first city); \n", + " at each step extend the tour by moving from the previous city \n", + " to its nearest neighbor that has not yet been visited.\"\"\"\n", + " start = start or first(cities)\n", + " tour = [start]\n", + " unvisited = set(cities - {start})\n", + " while unvisited:\n", + " C = nearest_neighbor(tour[-1], unvisited)\n", + " tour.append(C)\n", + " unvisited.remove(C)\n", + " return tour\n", + "\n", + "def first(collection): return next(iter(collection))\n", + "\n", + "def nearest_neighbor(A, cities):\n", + " \"Find the city in cities that is nearest to city A.\"\n", + " return min(cities, key=lambda C: distance(C, A))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "While `alltours_tsp` was limited to about a dozen cities, this algorithm can do hundreds or even thousands of cities in less than a second:" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "nn: 200 cities ⇒ tour length 11477 (in 0.006 sec)\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "do(nn_tsp, Cities(200))" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "nn: 1998 cities ⇒ tour length 33688 (in 0.601 sec)\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "do(nn_tsp, Cities(2000))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "(Note: I asked for 2000 cities but only got 1998, because the random number generator happened to produce the exact same city two times.)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "nn: 10 cities ⇒ tour length 2792 (in 0.000 sec)\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "do(nn_tsp, Cities(10))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On `Cities(10)`, `nn_tsp` took almost no time, but the tour is not optimal: it is 3% longer than optimal. But that will vary, depending on the set of cities, and also depending on the starting city. So that gives me an idea: Just as with buying lottery tickets, we can improve our chance of winning by trying more often:\n", + "\n", + "## Repetitive Nearest Neighbor Algorithm: `rep_nn_tsp`\n", + "\n", + "> **Repetitive Nearest Neighbor Algorithm:** *Run the nearest neighbor algorithm repeatedly, each time with a different start city, and pick the resulting tour with the shortest total distance.*\n", + "\n", + "This is an instance of the **ensemble strategy**, because providing a different paramater to the function each time is like providing a different algorithm each time. Which starting cities should we pick? I'll define a function to randomly `sample` the cities (and for reproducibility I'll give it a `seed` argument, as I did with `Cities`). The parameter *k* says how many cities to sample." + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [], + "source": [ + "def rep_nn_tsp(cities, k=25):\n", + " \"Repeat nn_tsp starting from k different cities; pick the shortest tour.\"\n", + " return shortest_tour(nn_tsp(cities, start) for start in sample(cities, k))\n", + "\n", + "def sample(population, k, seed=42):\n", + " \"Return a list of k elements sampled from population. Set random.seed.\"\n", + " if k >= len(population): \n", + " return population\n", + " else:\n", + " random.seed((len(population), k, seed))\n", + " return random.sample(population, k)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Let's try it:" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "rep_nn: 10 cities ⇒ tour length 2720 (in 0.000 sec)\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "do(rep_nn_tsp, Cities(10))" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "rep_nn: 200 cities ⇒ tour length 10461 (in 0.159 sec)\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "do(rep_nn_tsp, Cities(200))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "That's encouraging; it found the optimal tour for `Cities(10)` and it improved the `Cities(200)` tour by 10%, although it does take *k* times longer to run. But there are still some obvious flaws in the 200 city tour, which gives me another idea.\n", + "\n", + "\n", + "# Improving Tours\n", + "\n", + "Every time two links in a tour cross, forming an X, we could shorten the tour by uncrossing the X.\n", + "The nearest neighbor algorithm sometimes makes mistakes (like forming crosses), and it is hard for it to avoid such mistakes, because when it is part-way through the tour, it doesn't know where the future rest of the tour will be. So, rather than trying to make those difficult decisions, the **improvement strategy** says to first complete the entire tour, then improve it by making changes. It will be easy to decide if the changes are good, because we can ask directly: does the change make the whole tour shorter?\n", + "\n", + "Consider this tour:" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "[[1, 2, 3, 4],\n", - " [1, 2, 4, 3],\n", - " [1, 3, 2, 4],\n", - " [1, 3, 4, 2],\n", - " [1, 4, 2, 3],\n", - " [1, 4, 3, 2]]" + "16.246211251235323" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "tour = [City(x, 1) for x in range(5)] + [City(x, 0) for x in range(5)]\n", + "\n", + "plot_tour(tour); tour_length(tour)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Clearly, this is not an optimal tour. We can improve it by uncrossing the X: deleting the two long diagonal links, (leaving us with two unconnected segments, each of 5 cities in a straight horizontal line), and replacing them by two short vertical links (forming a rectangle). You can think of this as erasing and drawing links, or you can think of it as **reversing a segment**: Consider the tour as starting out clockwise from the red start city, going left-to-right along the top, zigging to the lower left, and going left-to-right across the bottom. We want it to go right-to-left along the bottom segment (which is the segment with indexes 5 to 10 in the tour), so we should reverse the segment:" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "10.0" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ - "alltours({1, 2, 3, 4})" + "tour[5:10] = reversed(tour[5:10])\n", + "\n", + "plot_tour(tour); tour_length(tour)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "**Note:** We could say that there is only one tour of three cities, because `[1, 2, 3]` and `[1, 3, 2]` are in some sense the same tour, one going clockwise and the other counterclockwise. However, I choose not to do that, for two reasons. First, it would mean we can never handle TSP problems where the distance from A to B is different from B to A. Second, it would complicate the code (if only by a line or two).\n", - "\n", - "We can verify that calling `alltours_tsp(Cities(8))` still works and gives the same tour with the same total distance. But it now runs faster:" + "That's an improvement! Here is how we can check if reversing an arbitrary segment is an improvement, and if so do it:" ] }, { "cell_type": "code", "execution_count": 23, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "8 city tour with length 2509.3 in 0.018 secs for alltours_tsp\n" - ] - } - ], + "metadata": {}, + "outputs": [], "source": [ - "plot_tsp(alltours_tsp, Cities(8))" + "def reverse_segment_if_improvement(tour, i, j):\n", + " \"If reversing tour[i:j] would make the tour shorter, then do it.\" \n", + " # Given tour [...A,B...C,D...], consider reversing B...C to get [...A,C...B,D...]\n", + " A, B, C, D = tour[i-1], tour[i], tour[j-1], tour[j % len(tour)]\n", + " # Are old links (AB + CD) longer than new ones (AC + BD)? If so, reverse segment.\n", + " if distance(A, B) + distance(C, D) > distance(A, C) + distance(B, D):\n", + " tour[i:j] = reversed(tour[i:j])\n", + " return True" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Now let's try a much harder 10-city tour:" + "Now I'll define `improve_tour` to consider various segments, and reverse the ones that improve the tour. What segments should we consider? I don't know how to be clever about that, but I do know how to use **brute force**: try all segments of all lengths at all starting positions. (I have an intuition that trying longer segments first would be better, so I'll write `all_segments` that way.) After I've tried all segments, if one of them did improve the tour that might open up new possibilities, so I'll repeat the process until there are no improvements." ] }, { "cell_type": "code", "execution_count": 24, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "10 city tour with length 2291.8 in 1.636 secs for alltours_tsp\n" - ] - } - ], + "metadata": {}, + "outputs": [], "source": [ - "plot_tsp(alltours_tsp, Cities(10))" + "def improve_tour(tour):\n", + " \"Try to alter tour for the better by reversing segments.\"\n", + " while True:\n", + " improvements = {reverse_segment_if_improvement(tour, start, end)\n", + " for (start, end) in all_segments(len(tour))}\n", + " if improvements == {None}:\n", + " return tour\n", + "\n", + "@cache(None)\n", + "def all_segments(N):\n", + " \"Return (i, j) pairs for each segment tour[i:j] for tours of length N.\"\n", + " return [(i, i + length)\n", + " for length in reversed(range(2, N))\n", + " for i in range(N - length + 1)]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Complexity of `alltours_tsp`\n", - "---\n", - "\n", - "It takes about 2 seconds on my machine to solve this 10-city problem. In general, the function `TSP` looks at (*n*-1)! tours for an *n*-city problem, and each tour has *n* cities, so the total time required for *n* cities should be roughly proportional to *n*!. This means that the time grows rapidly with the number of cities. *Really* rapidly. This table shows the actual time for solving a 10 city problem, and the exepcted time for solving larger problems:\n", - "\n", - "\n", - "
n expected time for `alltours_tsp(Cities(n))`\n", - "
10Covering 10! tours = 2 secs\n", - "
112 secs × 11! / 10! ≈ 22 secs\n", - "
122 secs × 12! / 10! ≈ 4 mins\n", - "
142 secs × 14! / 10! ≈ 13 hours\n", - "
162 secs × 16! / 10! ≈ 200 days\n", - "
182 secs × 18! / 10! ≈ 112 years\n", - "
252 secs × 25! / 10! ≈ 270 billion years\n", - "
\n", - "\n", - "There must be a better way ..." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Approximate Algorithms" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "What if we are willing to settle for a tour that is short, but not guaranteed to be shortest? Then we can save billions of years of compute time: we will show several *approximate* algorithms, which find tours that are typically within 10% of the shortest possible tour, and can handle thousands of cities in a few seconds. (**Note:** There are more sophisticated approximate algorithms that can handle hundreds of thousands of cities and come within 0.01% or better of the shortest possible tour.)\n", - "\n", - "So how do we come up with an approximate algorithm? Here are two general plans of how to create a tour:\n", - "\n", - "* **Nearest Neighbor Algorithm**: Make the tour go from a city to its nearest neighbor. Repeat.\n", - "* **Greedy Algorithm**: Find the shortest distance between any two cities and include that edge in the tour. Repeat.\n", - "\n", - "We will expand these ideas into full algorithms.\n", - "\n", - "In addition, here are four very general strategies that apply not just to TSP, but to any optimization problem. An **optimization problem** is one in which the goal is to find a solution that is best (or near-best) according to some metric,\n", - "out of a pool of many candidate solutions. The strategies are:\n", - "\n", - "* **Repetition Strategy**: Take some algorithm and re-run it multiple times, varying some aspect each time, and take the solution with the best score.\n", - "* **Alteration Strategy**: Use some algorithm to create a solution, then make small changes to the solution to improve it.\n", - "* **Ensemble Strategy**: Take two or more algorithms, apply all of them to the problem, and pick the best solution.\n", - "\n", - "And here are two more strategies that work for a wide variety of problems:\n", - "\n", - "* **Divide and Conquer**: Split the input in half, solve the problem for each half, and then combine the two partial solutions.\n", - "\n", - "* **Stand on the Shoulders of Giants** *or* **Just Google It**: Find out what others have done in the past, and either copy it or build on it." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Nearest Neighbor Algorithm: `nn_tsp`" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Here is a description of the nearest neighbor algorithm:\n", - "\n", - "> **Nearest Neighbor Algorithm:** *Start at any city; at each step extend the tour by moving from the previous city to its nearest neighbor that has not yet been visited.*\n", - "\n", - "So now, instead of considering all *n*! tours, we are generating a single tour. It takes O(*n*2 ) time to find the tour, because it has *n*-1 steps, and at each step we consider each of the remaining cities.\n", - "I implement the algorithm as follows:\n", - "\n", - "* \"*Start at any city*\": arbitrarily pick the first city. \n", - "* \"*extend the tour*\": append to the end of a list of cities.\n", - "* \"*by moving from the previous city*\": previous city is `tour[-1]`.\n", - "* \"*to its nearest neighbor*\": I will define the function `nearest_neighbor`.\n", - "* \"*that has not yet been visited*\": I will keep a set of `unvisited` cities.\n", - "\n", - "That gives us:" + "Here are all segments of 5 city tours:" ] }, { "cell_type": "code", "execution_count": 25, - "metadata": { - "collapsed": false - }, - "outputs": [], + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[(0, 4), (1, 5), (0, 3), (1, 4), (2, 5), (0, 2), (1, 3), (2, 4), (3, 5)]" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ - "def nn_tsp(cities):\n", - " \"\"\"Start the tour at the first city; at each step extend the tour \n", - " by moving from the previous city to the nearest neighboring city, C,\n", - " that has not yet been visited.\"\"\"\n", - " start = first(cities)\n", - " tour = [start]\n", - " unvisited = set(cities - {start})\n", - " while unvisited:\n", - " C = nearest_neighbor(tour[-1], unvisited)\n", - " tour.append(C)\n", - " unvisited.remove(C)\n", - " return tour\n", - "\n", - "def nearest_neighbor(A, cities):\n", - " \"Find the city in cities that is nearest to city A.\"\n", - " return min(cities, key=lambda c: distance(c, A))" + "all_segments(5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "**Note:** In Python, as in the formal mathematical theory of computability, `lambda` (or λ) is the symbol for *function*, so \"`lambda c: distance(c, A)`\" means the function of `c` that computes the distance from `c` to the city `A`. \n", + "# Improved Nearest Neighbor Algorithms\n", "\n", - "We can compare the the slow (but optimal) `alltours_tsp` algorithm to the new fast (but approximate) `nn_tsp` algorithm:" + "Here are three ways of improving nearest neighbor algorithms:" ] }, { "cell_type": "code", "execution_count": 26, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "10 city tour with length 2291.8 in 1.681 secs for alltours_tsp\n" - ] - } - ], + "metadata": {}, + "outputs": [], "source": [ - "plot_tsp(alltours_tsp, Cities(10))" + "def improve_nn_tsp(cities): \n", + " \"Improve the tour produced by nn_tsp.\"\n", + " return improve_tour(nn_tsp(cities))\n", + "\n", + "def improve_rep_nn_tsp(cities, k=15):\n", + " \"Improve the tour produced by rep_nn_tsp.\"\n", + " return improve_tour(rep_nn_tsp(cities, k))\n", + "\n", + "def rep_improve_nn_tsp(cities, k=5):\n", + " \"Run nn_tsp from k different starts, improve each tour; keep the best.\"\n", + " return shortest_tour(improve_tour(nn_tsp(cities, start)) \n", + " for start in sample(cities, k))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can see that the more `improve_tour` calls, the merrier:" ] }, { "cell_type": "code", "execution_count": 27, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, { "name": "stdout", "output_type": "stream", "text": [ - "10 city tour with length 2381.4 in 0.000 secs for nn_tsp\n" + "nn: 200 cities ⇒ tour length 11477 (in 0.006 sec)\n" ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ - "plot_tsp(nn_tsp, Cities(10))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "So the nearest neighbor algorithm is a lot faster, but it didn't find the shortest tour. To understand where it went wrong, it would be helpful to know what city it started from. I can modify `plot_tour` by adding one line of code to highlight the start city with a red square:" + "do(nn_tsp, Cities(200))" ] }, { "cell_type": "code", "execution_count": 28, - "metadata": { - "collapsed": false - }, - "outputs": [], + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "improve_nn: 200 cities ⇒ tour length 9523 (in 0.070 sec)\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "def plot_tour(tour):\n", - " \"Plot the cities as circles and the tour as lines between them. Start city is red square.\"\n", - " start = tour[0]\n", - " plot_lines(list(tour) + [start])\n", - " plot_lines([start], 'rs') # Mark the start city with a red square" + "do(improve_nn_tsp, Cities(200))" ] }, { "cell_type": "code", "execution_count": 29, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, { "name": "stdout", "output_type": "stream", "text": [ - "10 city tour with length 2381.4 in 0.000 secs for nn_tsp\n" + "rep_improve_nn: 200 cities ⇒ tour length 9450 (in 0.333 sec)\n" ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ - "plot_tsp(nn_tsp, Cities(10))" + "do(rep_improve_nn_tsp, Cities(200))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "We can see that the tour moves clockwise from the start city, and mostly makes good decisions, but not optimal ones.\n", - "\n", - "We can compare the performance of these two algorithms on, say, eleven different sets of cities instead of just one:" + "Maybe I could do even better if I passed a higher value of *k* to `rep_improve_nn_tsp` (the default is 5). But `do` doesn't accept extra arguments. I could modify `do`, but instead I'll define a [higher-order function](https://en.wikipedia.org/wiki/Higher-order_function), `bind`, so that `bind(rep_improve_nn_tsp, 5)` creates a new function that calls `rep_improve_nn_tsp` with one extra argument (*k*) bound to 5. My `bind` is similar to `functools.partial`, but does a better job with the function name of the newly created function." ] }, { "cell_type": "code", "execution_count": 30, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "[1.0,\n", - " 1.0,\n", - " 1.0,\n", - " 1.0,\n", - " 1.0118279018107388,\n", - " 1.0121039193389436,\n", - " 1.107851821362778,\n", - " 1.139713084817861,\n", - " 1.1531140497779002,\n", - " 1.1972133336642432,\n", - " 1.2160497559961319]" - ] - }, - "execution_count": 30, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "def length_ratio(cities): \n", - " \"The ratio of the tour lengths for nn_tsp and alltours_tsp algorithms.\"\n", - " return tour_length(nn_tsp(cities)) / tour_length(alltours_tsp(cities))\n", - "\n", - "sorted(length_ratio(Cities(8, seed=i*i)) for i in range(11))" - ] - }, - { - "cell_type": "markdown", "metadata": {}, + "outputs": [], "source": [ - "The ratio of `1.0` means the two algorithms got the same (optimal) result; that happened 4 times out of 10. The other times, we see that the `nn_tsp` produces a longer tour, by anything up to 21% worse, with a median of 1% worse.\n", - "\n", - "But more important than that 1% (or even 21%) difference is that the nearest neighbor algorithm can quickly tackle problems that the all tours algorithm can't touch in the lifetime of the universe. Finding a tour of 1000 cities takes well under a second:" + "@cache()\n", + "def bind(fn, *extra):\n", + " \"Bind extra arguments; also assign .__name__\"\n", + " newfn = lambda *args: fn(*args, *extra)\n", + " newfn.__name__ = fn.__name__ + ''.join(', ' + str(x) for x in extra)\n", + " return newfn" ] }, { "cell_type": "code", "execution_count": 31, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ - { - "data": { - "image/png": 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UM526k9aAvAmyBZZsUK5uE1fD0HeUIedCw5U7Uu5xDRFO2gP/GFX43fbEdvu1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\nMy+Ht25G753cPPfl1tEb2+N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B3NcwkwpEV/krihdDmyrltdOxxpQ8qvj51lV+lU4+Olc/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LAxWJcH1KVp4dItjF3Sy2tpDZjJi2z0qrKecDTIzdWdO9kf/rc7jGwM9uHCnbDodSzZluw8EH5M\n6QzTeXWg+tLh8bwXfgaLDxbC6bAvQtUTrKNIj5dwWsz4evLxRIC/l7rwt6p6wvE0g3PcdL1bmH9v\nSX/jzzb2Sa+H1TchfvwhyLSYNXUtivJZdkaRjRhuu6n7Vo3Jzk4oj1HTM3ly3X6msAWrhAN0uu8I\n/sY7LGaEPufX4xZhcwgusjPuhCWrUfvHQSgueMTAHX031pZSQoPAOqH69GvRNHzLQZrUsJbvsE6z\nkbvSrDK2y7YoXdLAIHcMqI1cVDj2usYtQm0RPy0v+KtArgCZDjIVtVONARkOdfMqdRTl2z5wYx7B\nIt/adjsIs7pnJr0Xr0UY2FCsPSN5rPqbEc8rOKJ1vb0fVXldWP68BuSA3P2r9mSnJ9bIxmpkmwoy\nhelQMS2ssP7P+0343/z9rIafd3mD+Xn5//di8VoxM+mwZfCXMSD1qP3kKZANaDq9OWik4UQ0u9Cn\nQfaGYc8Vc3C5bA7SCsYvSaKZe32m3416p9gDfNQraGrCC0EuRTNZfQfkB+gt6BoUfO23aqPw3ssm\nXOiYTrpZ+f3Ct4tQS+Zf3yffAvXvQfsbzRtdVjjqpBgRv6rWU58OEDhDoHOhkfn2tdz7fpAD09wE\nUW+1d+CGvlC/Gfo9mveQrvpEpyfY83+CHs9mMWaaGcHvstazwb5Zm3yXJ0vQtz8s4dv8nfs+lG1B\nFLsgUQl/FapTHwZyRzomnbwMRSgdyq5sS+EbwdDj0CCwJephk//g0jZmNMGA+cGgNa/dM+6EV19R\nXolA14YkqjQ3B78U3/3vsLiRmCjc9Is+z43H26iCgGkOPPD7ch3XRsfYPHAGhj4tADm+SNrpuE64\nU9VxHRtNxul4kL+kW1MazynbwXXJWpC1MGNTmjHCn84Ley/lon9zT3gCM+yFws0enpc5LdfbBp34\nzvOiqhwTpvhCgW4bKozil/wbBHobDo+NooiPcjXIF9L3ucNNUL8DTr61iAUJchnq8fRRVMWzvzuT\nmtQkYZpe+B48dzvIN4o6uMqH1Rp26TKNUviK4GFgy2OcXW2G+vxflZ7mtsC7vIb+8Rvh7tEp6DgE\n5GX1fLnk3ebFrbFvlHqTkbHu407yVHK9zdl44QrRpDoyAqQdAeOp1Zkjpj+xThUlRQdw50lTfbnm\nptqTn45R5FiKwoxO1PFFNgvb1bdD5XfHzg4ygA086uJ2qL72HRQPpyfIPq4SA+qH3i3/Yms7W3Ph\nXrYFetxTDkwanJZWaX5XzGHd5wG4eE1Fys8uOed7Vw6FJWvg9Nnpk7v46TDgUbh/kao00kA7hGn5\nwp9BBjmupS+ArFQ89/jbUAYe66CG2V6ry84LHaL9joXjGAVyg/u4Tao4/zo61hJ46cq/9aLeY3ID\nyD9Rg+mbIPfCkEXmd+JgkJPGn9YBIXpYZZ07kd1v058GcnUxdVUnO5T5sDC/gxpi6kDmw+I31ZvG\nSY83HeRndia3HRYmZpsilWvsyEZ4yeAFc+5XYEoi0mK1A9zsiyU+f3G2Ol033exY6sF6JjQVcAP6\nDchIh999EOQFkJFF24qIuD5vFP1c2fj1cIsTuOQYkJeL45Eh26OuoFH+MEvtUyScnxbVOLQBORvO\nscBr2BOeJO0laXnyP13SnwtydjF1fePPaU/o6o6t61/ddcvSFuTFtAyS7Ka3UaDXe5psxH9gTXwD\nzltaCdNP65VSjPdHTP3O/vHmelu3UVyTiW+mk9aL0M23bpO3/z6+uIYQTK/ld9eB3AxSKvqg1uBB\nk178pDdRw/6d9jSenvvkYUfC5dvgnEdc56OyiXZrrEQS+2lZ77i2WrfRG3DXRpvuP/h7W4yEObVh\nSr5wuhGb9oBcbed5ucgHDT/eQIxbYUpiboBuUnFR8071lgJYS+N/LvugUcefKMaF0e+tNMNXx6Bt\nQfrYDhOPpgNe0IjO5HeKpVH3efn93mUoMSqFvHNm58VBi4vJzNW6jWbeGrM4QTXYDw3q2V8/F3dQ\nlyXlUESvF3BV9x6KVtofTvujXaddlM4+HOjVJ7fjh7nt3QOoMXxI5KqrOTsePyjpBvJgdJBpdaAR\n10PRKDxPKhn0BIGEF81j3Eqvx5M7QQYUE6w00/B/2+ewHtRE0/7r1RheLN3s/W87G068CwbvdJHO\nLPTsg8V7yc5L7V7TDduPw5PmhuGNJ59rr7uhUj6Dhu9/Nf7dCRvhmM8VNz/1gg/GINhmGE7lhDvT\n0sKNrz1AuY6Nehtwi2R3o30470NQHfTv9rR4B3wM+wuQS9IweTbmmL4BFi+DsWvT1p+feVJBBkxU\nyck2prGvEorOi7axUPS2c4kEk5T46wrHLIT1oNVV6YT63wEGbQ7SaGBDxdU221wpXfo+CBe96+Zy\nZ5Ms3RO2az3+/LPZg/jcDOjyfpCnQcabx+NJie1vhAV/B7kLjvlcMa6IfQWOmxPNC3Hs7Kjr9YCd\naW898TfYXbQ0OGL0bCgDuuUS7KDH0XDF9pZ0cy10nbV0B3xMu4gywFB2X10n5mgDnR9sro0s2D//\n4rt4Jcw2QgKU6fFlkKUWw9VSeO4WkAaQ06IeO55bal0onH2CRHWhSZJ+86CTVsbphcjPEHWj/eI9\nzSElB9+Jsy2kOWz89eSB60ieA9RFeFfIfsJa21c3/gkbi6HLKcb0h+bfpw+8jNJxsqj79NnvQdtl\nuuGfEbpBNEhQLeNlB+sxP+3GjQL1Lazm3tCcT4t3oEzUI9B8rqV4Ju/zUHw9yaH0ZalvU3NsZPF9\nvXeKgknZYGClxK6Yhd5Hq+Grz1z/b0HOgMXLYey66KKzubHV+3+XqNO30/SSd1FQqH2LUJXFz132\nucoiQBR10Cldhi/Pe6OETn+KGwNIbxUQ5CPudcZ72NjHY1L1maEdzHRskLSBl0GBYKREdexjNsHU\nbcF2/Cq1vDctORvknubaG6r9tHgHykQdQ9nIBvIRGPsvy4a1GcXOjsFDj4COvRt0l2o3qxowD8lj\nDEvjvV530NHehAaMnI3P3hH8zcm3msfSw+JB0bURBi/TwLJeL6jUadfP2yXlO4aBzFVX1AtWJo8l\n/mCwb7RdM+UXSK43C1jZOXPTHnDwxDUw8sX0WZe8dvo8BGPfhbo1ZmlaDkcx5dum48c8cAd+rxO7\nO62djsfOdvVcCbW71L52T3wt+L1fbZnXpiJjaMa0o9V+WrwDZaLeWZYa60DegmdmRbHWBy2GH56G\ngnytRlObRRg9yJSn/VH19/dfVFmoHRs1iUP45K/bVC1dXbz/vJ0J0TydN6PYLN8y121bvD1X2Rec\nibZJkpbN59ia9jAV/k28ETeNLSS8KZuQUrNItOe/CXPeTmsLQmGkT8vPL3UNYZdaNJvSE5QBudK1\nUYytRuEqzPVktc3Z2+o9xw7G2Dnk4eU/HPIBOKJQJDOqsTe0xNNyDe9amB1uKm9+z6P5IU+oML41\n6OkjKCrha+VF1Q9LHlg9KMKBR1NEN34PXrVeoMO96cfgGjSVZGA2M6HmuK3fDJesU7CmNL7zts3S\nljYya7COi77Z1scTEw6GKdvh7F7Q4S8wKNFzx2zI7rUtqg5IRlU08R90vC0N7UBao9GdqTDQXTdk\nkB+D3E2GbEoWeu+AufVJ9flceOfD+M0w7B3bxp7GH92NLvZberAtf/R8bkn/RgyR7P+uT8s1HGCS\nqQKPXEnKrDAge4P0QpOEvIFGsn4syihJuu0LVsKSFWkksjgpBs3mc3r5YPo9XLrevDFeYWVCdze9\nuH6YNq6ig3XiNyido/NfMLdZvwPkUdQIOQyuPlN1zV5/f3WN5qB1lfLDffEWuz9dX71k9bFOSztU\nLZcFGnt1NF1jsB2Qrmiq0I9lGUuovTK9r+qIgqH9DkumNTO/eV4y1fVuqbhPuh3ilfGZsLaSEVQr\n71+yFnrd9+/utbNrXC3WcEELsVKfHKsbrKxBg0SO0u/jdMWBq3JH1Jg8uTLZPearHvH0iM7bvtld\nvhXVsT6Ipn4bqbg3SQdPUeiQSdF9hYfltzGnqet9NLtuYxevNLfZ8TaQU8u/uxHNDboJhXH+NQx5\n0k115N22uoWMvv5D1c9vHRuLNTZPbQQ5gwBAXLtZCuI1/Dl3nXVcAJKXuav3HOh8R1lIaV/8upT9\nQG5FMWg+Hb3NFntTzMZvnj9+V2d//OAa6fY3eGgVdLzVngb1dMNB0Xww1FWlYYs1XCWdOppT83IU\n9/0BNb65SXsgbeDVl2Dc+ujiWyiawec3PUEuVZ9vMRwm5z5qZjgb4mfx6JDJzF+MnrWyQEa9CV3W\nqER1xp3wzA3lw/dGkLZp2gRphSIdjtU0iiYaDH0G5KPResNXf7+knz/ZjXkcgxfDPZNRrJsX1Ctr\ncMExJiZgP82KVp21KSWQi/RgCXsf9dtRDb5szkfncZzB483v61989r7d5WlBwleXoKiRqw7+9RwM\nd9bratIJ2+LbKIoZLz+Hfg+n0++m020WLZHn6Yu9jkikZxMsWYnBwypLm3YaXLQCZIMG2vn/bvLN\nHrStSG8t2zjKG2UXTVaSvi37IT9oJ3Tf2hIbkNqRwu02v+db8eOy8dXpvnwQxWfv212eFiR88xBU\nF+MZzht0Mn6NBxpVrGdCtB/VrT9//2wLp8NNxbURazfZGwY+Hp2nBtGrvx8FNaz2qSa/ZXWFtNGz\n/Y0w5KmW2ICK8rPf3R77HPXfXPn/f66kvw8tVpqAVqHPjW8V3YoIUip96L1gW5Tb/uQh0Tfefsvc\nt70CfRRZ31Aq7d8Jllyl9TS+BQvqRdY3FNPv6tafvxx8iJmmB32yqBaSaFAqvbYYmr4R7MeBwNYH\nRO4Y5H1TKp34ADTVNQe/2fknqa0F9TD6BLjuSH23CRi9BF6YATuvgqbjm6f//mIay4HAS/dC56bd\nky9dim2OXn8bmg7X788DvgV8m+B8LKhv7t4WXcqGp1qplVqplVrZE8peLd2BWqmVWqmVWmm+Utv0\na6VWaqVW9qBS2/RrpVZqpVb2oFLb9GulVmqlVvagUtv0a6VWaqVW9qBS2/RrpVZqpVb2oFLb9Gul\nVmqlVvagUtv0a6VWaqVW9qBS2/RrpVZqpVb2oFLb9GulVmqlVvagUtv0a6VWaqVW9qBS2/RrpVZq\npVb2oFLb9GulVmqlVvagUtv0a6VWaqVW9qBS2/RrpVZqpVb2oFLb9GulVmqlVvagUtv0a6VWaqVW\n9qBS2/RrpVZqpVb2oFLb9GulVmqlVvag8v8BHo6MOq6wR2sAAAAASUVORK5CYII=\n", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, { "name": "stdout", "output_type": "stream", "text": [ - "1000 city tour with length 21275.9 in 0.145 secs for nn_tsp\n" + "rep_improve_nn, 50: 200 cities ⇒ tour length 9264 (in 3.631 sec)\n" ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ - "plot_tsp(nn_tsp, Cities(1000))" + "do(bind(rep_improve_nn_tsp, 50), Cities(200))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Can we do better? Can we combine the speed of the nearest neighbor algorithm with the optimality of the all tours algorithm? \n", - "\n", - "Let's consider where `nn_tsp` can go wrong. At the end of `plot_tsp(nn_tsp, Cities(10))`, we see a very long edge, because there are no remaining cities near by. In a way, this just seems like bad luck—we started in a place that left us with no good choices at the end. Just as with buying lottery tickets, we could improve our chance of winning by trying more often; in other words, by using the **repetition strategy**." + "# Non-Random Cities" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "## Repeated Nearest Neighbor Algorithm: `repeated_nn_tsp`" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Here is an easy way to apply the **repetition** strategy to improve **nearest neighbors**:\n", + "I thought it would be fun to work on some *real* cities, instead of random ones. I found a web page (now 404, but a copy is [here](https://raw.githubusercontent.com/norvig/pytudes/master/data/latlong.htm)) that lists geographical coordinates of USA cities, in this format:\n", "\n", - "> **Repeated Nearest Neighbor Algorithm:** *For each of the cities, run the nearest neighbor algorithm with that city as the starting point, and choose the resulting tour with the shortest total distance.*\n", + " [TCL] 33.23 87.62 Tuscaloosa,AL\n", + " [FLG] 35.13 111.67 Flagstaff,AZ\n", + " [PHX] 33.43 112.02 Phoenix,AZ\n", "\n", - "So, with *n* cities we could run the `nn_tsp` algorithm *n* times, regrettably making the total run time *n* times longer, but hopefully making at least one of the *n* tours shorter. \n", - "\n", - "To implement `repeated_nn_tsp` we just take the shortest tour over all starting cities:" + "I define the function `parse_cities` to take an iterable of lines in this format, pick out the latitude and longitude, and build a `City` out of each one (excluding cities in Alaska and Hawaii)." ] }, { "cell_type": "code", "execution_count": 32, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ - "def repeated_nn_tsp(cities):\n", - " \"Repeat the nn_tsp algorithm starting from each city; return the shortest tour.\"\n", - " return shortest_tour(nn_tsp(cities, start) \n", - " for start in cities)" + "def parse_cities(lines, long_scale=-48, lat_scale=69):\n", + " \"\"\"Make a set of Cities from lines of text.\"\"\"\n", + " return frozenset(City(long_scale * ncol(line, 2), lat_scale * ncol(line, 1))\n", + " for line in lines \n", + " if line.startswith('[') and ',AK' not in line and ',HI' not in line)\n", + "\n", + "def ncol(line, i): \"The number in the i-th column\"; return float(line.split()[i])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "To do that requires a modification of `nn_tsp` so that the `start` city can be specified as an optional argument:" + "You might be wondering about the `long_scale=-48, lat_scale=69` part. The issue is that we have latitude and longitude for cities, and we want to compute the distance between cities. To do that accurately requires [complicated trigonometry](http://en.wikipedia.org/wiki/Haversine_formula). But we can get an approximation by assuming that latitude and longitude are on a flat rectangular grid. (This is a bad approximation if you're talking about distances of 10,000 miles, but close enough for distances of 100 miles, as long as you're not too near the poles.) I took the latitude of the center of the USA (Wichita, KS: latitude 37.65) and plugged it into a [Length Of A Degree Of Latitude\n", + "And Longitude Calculator](http://www.csgnetwork.com/degreelenllavcalc.html) to find that, in Wichita, one degree of latitude is 69 miles, and one degree of longitude is 48 miles. (It is -48 rather than +48 because the USA is west of the prime meridian.) \n", + "\n", + "Now let's use a shell command to fetch a small file with 80 USA cities; then find a tour for it:" ] }, { "cell_type": "code", "execution_count": 33, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ - "def nn_tsp(cities, start=None):\n", - " \"\"\"Start the tour at the first city; at each step extend the tour \n", - " by moving from the previous city to its nearest neighbor \n", - " that has not yet been visited.\"\"\"\n", - " if start is None: start = first(cities)\n", - " tour = [start]\n", - " unvisited = set(cities - {start})\n", - " while unvisited:\n", - " C = nearest_neighbor(tour[-1], unvisited)\n", - " tour.append(C)\n", - " unvisited.remove(C)\n", - " return tour" + "! [ -e latlongx.htm ] || curl -O https://raw.githubusercontent.com/norvig/pytudes/master/data/latlongx.htm" ] }, { "cell_type": "code", "execution_count": 34, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { - "image/png": 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qfBetXJHSA5P9HC2uHRkhO0nWB/0S9AjXsoR/rO4dzEaGQ14yK970DTZAW1rn4qmgt4G+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\n6Xs8Hk8R4ZW+x+PxFBFe6Xs8Hk8R4ZW+x+PxFBF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ktJzESmACrLMU9hsTFzfRQGlhxp9xsSnHFHbceLk/x53IajAVOFLKTaqSXONd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\ncxTlgxkPA5Mkbspxv2UVjQsxVvoAZrw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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "100 city tour with length 5912.6 in 0.157 secs for repeated_nn_tsp\n" - ] } ], "source": [ - "# Compare nn_tsp to repeated_nn_tsp\n", - "plot_tsp(nn_tsp, Cities(100))\n", - "plot_tsp(repeated_nn_tsp, Cities(100))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We see that `repeated_nn_tsp` does indeed take longer to run, and yields a tour that is shorter. \n", + "USA = parse_cities(open('latlongx.htm'))\n", "\n", - "Let's try again with a smaller map that makes it easier to visualize the tours:" + "plot_segment(USA, 'bo')" ] }, { "cell_type": "code", "execution_count": 35, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, { "name": "stdout", "output_type": "stream", "text": [ - "10 city tour with length 2381.4 in 0.000 secs for nn_tsp\n" + "rep_improve_nn, 80: 80 cities ⇒ tour length 13512 (in 0.887 sec)\n" ] }, { "data": { - "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "10 city tour with length 2297.7 in 0.000 secs for repeated_nn_tsp\n" - ] - }, - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "10 city tour with length 2291.8 in 1.619 secs for alltours_tsp\n" - ] } ], "source": [ - "for f in [nn_tsp, repeated_nn_tsp, alltours_tsp]:\n", - " plot_tsp(f, Cities(10))" + "do(bind(rep_improve_nn_tsp, 80), USA)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "This time the `repeated_nn_tsp` gives us a tour that is better than `nn_tsp`, but not quite optimal. So, it looks like repetition is helping. But if I want to tackle 1000 cities, I don't really want the run time to be 1000 times slower. I'd like a way to moderate the repetition—to repeat the `nn_tsp` starting from *a sample* of the cities but not *all* the cities.\n", + "Not bad! There are no obvious errors in the tour (although I'm not at all confident it is the shortest tour). \n", "\n", - "# Sampled Repeated Nearest Neighbor Algorithm: revised `repeated_nn_tsp`\n", - "\n", - "\n", - "We can give `repeated_nn_tsp` an optional argument specifying the number of different cities to try starting from. We will implement the function `sample` to draw a random sample of the specified size from all the cities. Most of the work is done by the standard library function `random.sample`. What our `sample` adds is the same thing we did with the function `Cities`: we ensure that the function returns the same result each time for the same arguments, but can return different results if a `seed` parameter is passed in. (In addition, if the sample size, `k` is `None` or is larger than the population, then return the whole population.)" + "Now let's fetch a much bigger file in the same format:" ] }, { "cell_type": "code", "execution_count": 36, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ - "def repeated_nn_tsp(cities, repetitions=100):\n", - " \"Repeat the nn_tsp algorithm starting from specified number of cities; return the shortest tour.\"\n", - " return shortest_tour(nn_tsp(cities, start) \n", - " for start in sample(cities, repetitions))\n", - "\n", - "def sample(population, k, seed=42):\n", - " \"Return a list of k elements sampled from population. Set random.seed with seed.\"\n", - " if k is None or k > len(population): \n", - " return population\n", - " random.seed(len(population) * k * seed)\n", - " return random.sample(population, k)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Let's compare with 1, 10, and 100 starting cities on a 300 city map:" + "! [ -e latlong.htm ] || curl -O https://raw.githubusercontent.com/norvig/pytudes/master/data/latlong.htm" ] }, { "cell_type": "code", "execution_count": 37, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ - "def repeat_10_nn_tsp(cities): return repeated_nn_tsp(cities, 10)\n", - "def repeat_100_nn_tsp(cities): return repeated_nn_tsp(cities, 100)" + "USA_big = parse_cities(open('latlong.htm'))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here is a baseline nearest neighbor tour:" ] }, { "cell_type": "code", "execution_count": 38, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ - { - "data": { - "image/png": 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KiMRlM/aVP/Pq52Svaz8jWVOIrvJMSKt8ZcuOOBWNzDsM9SI4M8Nzjhp+yn1z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\nREI/QoQIEcoRIqEfIUKECOUI/w8KjsgL2SCG7wAAAABJRU5ErkJggg==\n", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, { "name": "stdout", "output_type": "stream", "text": [ - "299 city tour with length 12752.7 in 0.014 secs for nn_tsp\n" + "nn: 1089 cities ⇒ tour length 52879 (in 0.166 sec)\n" ] }, { "data": { - "image/png": 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WBZn7RykqoHPufOVHe8VBhNeVYj4wTinOAW4Tl9laleJw4C449swolkjdp8D0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\nXyBTQaokz2/3tIscSC+QTSB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l+5xIu6rAIVeUvNO9pp7c5tHHwnWvibxU4APKHs07Tu9s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\n", 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "299 city tour with length 12070.6 in 0.127 secs for repeat_10_nn_tsp\n" - ] - }, - { - "data": { - "image/png": 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G7wArgPradmpnU/1mCnAnsAf8/k8f/CMz0DV6fQMRPlLq40egdCpMqVahwtCD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\nZHXq++wUdIc9Xida+rROqYBOgbcM5AzvfeDcjGTV+QzIfLi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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "299 city tour with length 11598.6 in 1.285 secs for repeat_100_nn_tsp\n" - ] } ], "source": [ - "plot_tsp(nn_tsp, Cities(300))\n", - "plot_tsp(repeat_10_nn_tsp, Cities(300))\n", - "plot_tsp(repeat_100_nn_tsp, Cities(300))" + "do(nn_tsp, USA_big)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "As we add more starting cities, the run times get longer and the tours get shorter.\n", + "There are some obvious problems with long links in this tour. \n", "\n", - "I'd like to understand the tradefoff better. I'd like to have a way to compare different algorithms (or different choices of parameters for one algorithm) over *multiple* trials, and summarize the results. That means we now have a new vocabulary item:\n", - "\n", - "# New Vocabulary: \"Maps\"\n", - "\n", - "\n", - "We use the term *cities* and the function `Cities` to denote a set of cities. But now I want to talk about multiple trials over a collection of sets of cities: a plural of a plural. English doesn't give us a good way to do that, so it would be nice to have a *singular* noun that is a synonym for \"set of cities.\" We'll use the term \"map\" for this, and the function `Maps` to create a collection of maps. Just like `Cities`, the function `Maps` will give the same result every time it is called with the same arguments." + "A repetitive improved nearest neighbor tour, with a modest value of *k*=3, should help:" ] }, { "cell_type": "code", "execution_count": 39, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "def Maps(num_maps, num_cities):\n", - " \"Return a tuple of maps, each consisting of the given number of cities.\"\n", - " return tuple(Cities(num_cities, seed=(m, num_cities))\n", - " for m in range(num_maps))" - ] - }, - { - "cell_type": "markdown", "metadata": {}, - "source": [ - "# Benchmarking\n", - "\n", - "The term *benchmarking* means running a function on a standard collection of inputs, in order to compare its performance. We'll define a general-purpose function, `benchmark`, which takes a function and a collection of inputs for that function, and runs the function on each of the inputs. It then returns two values: the average time taken per input, and the list of results of the function." - ] - }, - { - "cell_type": "code", - "execution_count": 40, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "@functools.lru_cache(None)\n", - "def benchmark(function, inputs):\n", - " \"Run function on all the inputs; return pair of (average_time_taken, results).\"\n", - " t0 = time.clock()\n", - " results = [function(x) for x in inputs]\n", - " t1 = time.clock()\n", - " average_time = (t1 - t0) / len(inputs)\n", - " return (average_time, results)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Note: Each time we develop a new algorithm, we would like to compare its performance to some standard old algorithms.\n", - "The use of `@functools.lru_cache` here means that we don't need to re-run the old algorithms on a standard data set each time; we can just cache the old results. \n", - "\n", - "We can use `benchmark` to see the average call to the absolute value function takes less than a microsecond:" - ] - }, - { - "cell_type": "code", - "execution_count": 41, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "(5.00000000069889e-07,\n", - " [10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9])" - ] - }, - "execution_count": 41, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "benchmark(abs, range(-10, 10))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "And we can see that `alltours_tsp` can handle 6-city maps in under a millisecond each:" - ] - }, - { - "cell_type": "code", - "execution_count": 42, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "(0.00032370000000003785,\n", - " [[(574+214j), (236+141j), (556+348j), (677+277j), (833+33j), (578+224j)],\n", - " [(433+6j), (396+143j), (527+431j), (167+227j), (113+100j), (127+105j)],\n", - " [(571+206j), (724+42j), (703+269j), (797+331j), (543+474j), (310+248j)],\n", - " [(12+30j), (344+45j), (693+77j), (548+186j), (279+508j), (171+229j)],\n", - " [(243+271j), (379+72j), (859+331j), (840+411j), (651+478j), (8+369j)],\n", - " [(672+502j), (820+460j), (887+489j), (853+65j), (422+69j), (433+135j)],\n", - " [(38+119j), (644+90j), (622+288j), (602+511j), (509+424j), (275+536j)],\n", - " [(18+208j), (832+456j), (483+477j), (314+533j), (314+539j), (23+596j)],\n", - " [(274+560j), (213+594j), (248+84j), (550+317j), (508+577j), (377+575j)],\n", - " [(813+467j), (438+216j), (270+118j), (71+18j), (125+320j), (199+578j)]])" - ] - }, - "execution_count": 42, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "benchmark(alltours_tsp, Maps(10, 6))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Benchmarking Specifically for TSP Algorithms\n", - "\n", - "Now let's add another function, `benchmarks`, which builds on `benchmark` in two ways:\n", - "\n", - "1. It compares multiple algorithms, rather than just running one algorithm. (Hence the plural `benchmarks`.)\n", - "2. It is specific to `TSP` algorithms, and rather than returning results, it prints summary statistics: the mean, standard deviation, min, and max of tour lengths, as well as the time taken and the number and size of the sets of cities." - ] - }, - { - "cell_type": "code", - "execution_count": 43, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "def benchmarks(tsp_algorithms, maps=Maps(30, 60)):\n", - " \"Print benchmark statistics for each of the algorithms.\" \n", - " for tsp in tsp_algorithms:\n", - " time, results = benchmark(tsp, maps)\n", - " lengths = [tour_length(r) for r in results]\n", - " print(\"{:>25} |{:7.0f} ±{:4.0f} ({:5.0f} to {:5.0f}) |{:7.3f} secs/map | {} ⨉ {}-city maps\"\n", - " .format(tsp.__name__, mean(lengths), stdev(lengths), min(lengths), max(lengths),\n", - " time, len(maps), len(maps[0])))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "How Many Starting Cities is best for `nn_tsp`?\n", - "---\n", - "\n", - "Now we are in a position to gain some insight into how many repetitions, or starting cities, we need to get a good result from `nn_tsp`." - ] - }, - { - "cell_type": "code", - "execution_count": 44, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "def repeat_25_nn_tsp(cities): return repeated_nn_tsp(cities, 25)\n", - "def repeat_50_nn_tsp(cities): return repeated_nn_tsp(cities, 50)" - ] - }, - { - "cell_type": "code", - "execution_count": 45, - "metadata": { - "collapsed": false - }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - " nn_tsp | 5668 ± 488 ( 4674 to 6832) | 0.001 secs/map | 30 ⨉ 60-city maps\n", - " repeat_10_nn_tsp | 5232 ± 374 ( 4577 to 6172) | 0.006 secs/map | 30 ⨉ 60-city maps\n", - " repeat_25_nn_tsp | 5159 ± 394 ( 4620 to 6069) | 0.014 secs/map | 30 ⨉ 60-city maps\n", - " repeat_50_nn_tsp | 5118 ± 386 ( 4512 to 6069) | 0.029 secs/map | 30 ⨉ 60-city maps\n", - " repeat_100_nn_tsp | 5113 ± 384 ( 4512 to 6069) | 0.034 secs/map | 30 ⨉ 60-city maps\n" + "rep_improve_nn, 3: 1089 cities ⇒ tour length 44877 (in 10.171 sec)\n" ] - } - ], - "source": [ - "algorithms = [nn_tsp, repeat_10_nn_tsp, repeat_25_nn_tsp, repeat_50_nn_tsp, repeat_100_nn_tsp]\n", - "\n", - "benchmarks(algorithms, Maps(30, 60))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We see that adding more starting cities results in shorter tours, but you start getting diminishing returns after 50 repetitions.\n", - "\n", - "Let's try again with bigger maps:" - ] - }, - { - "cell_type": "code", - "execution_count": 46, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - " nn_tsp | 7789 ± 458 ( 6877 to 8632) | 0.002 secs/map | 30 ⨉ 120-city maps\n", - " repeat_10_nn_tsp | 7316 ± 334 ( 6646 to 7870) | 0.021 secs/map | 30 ⨉ 120-city maps\n", - " repeat_25_nn_tsp | 7242 ± 287 ( 6725 to 7870) | 0.053 secs/map | 30 ⨉ 120-city maps\n", - " repeat_50_nn_tsp | 7189 ± 295 ( 6646 to 7742) | 0.106 secs/map | 30 ⨉ 120-city maps\n", - " repeat_100_nn_tsp | 7173 ± 289 ( 6646 to 7736) | 0.213 secs/map | 30 ⨉ 120-city maps\n" - ] - } - ], - "source": [ - "benchmarks(algorithms, Maps(30, 120))" - ] - }, - { - "cell_type": "code", - "execution_count": 47, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - " nn_tsp | 8668 ± 485 ( 7183 to 9636) | 0.003 secs/map | 30 ⨉ 150-city maps\n", - " repeat_10_nn_tsp | 8220 ± 364 ( 7290 to 9197) | 0.033 secs/map | 30 ⨉ 150-city maps\n", - " repeat_25_nn_tsp | 8117 ± 326 ( 7222 to 8918) | 0.083 secs/map | 30 ⨉ 150-city maps\n", - " repeat_50_nn_tsp | 8086 ± 300 ( 7237 to 8676) | 0.166 secs/map | 30 ⨉ 150-city maps\n", - " repeat_100_nn_tsp | 8062 ± 284 ( 7174 to 8603) | 0.331 secs/map | 30 ⨉ 150-city maps\n" - ] - } - ], - "source": [ - "benchmarks(algorithms, Maps(30, 150))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The results are similar. So depending on what your priorities are (run time versus tour length), somewhere around 25 or 50 repetitions might be a good tradeoff.\n", - "\n", - "Next let's try to analyze where nearest neighbors goes wrong, and see if we can do something about it." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# A Problem with Nearest Neighbors: Outliers" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Consider the 20-city map that we build below:" - ] - }, - { - "cell_type": "code", - "execution_count": 48, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "outliers_list = [City(2, 2), City(2, 3), City(2, 4), City(2, 5), City(2, 6), \n", - " City(3, 6), City(4, 6), City(5, 6), City(6, 6), \n", - " City(6, 5), City(6, 4), City(6, 3), City(6, 2), \n", - " City(5, 2), City(4, 2), City(3, 2), \n", - " City(1, 6.8), City(7.8, 6.4), City(7, 1.2), City(0.2, 2.8)]\n", - "\n", - "outliers = set(outliers_list)\n", - "\n", - "plot_lines(outliers, 'bo')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Let's see what a nearest neighbor search does on this map:" - ] - }, - { - "cell_type": "code", - "execution_count": 49, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "20 city tour with length 38.8 in 0.000 secs for nn_tsp\n" - ] - } - ], - "source": [ - "plot_tsp(nn_tsp, outliers)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The tour starts out going around the inner square. But then we are left with long lines to pick up the outliers. \n", - "Let's try to understand what went wrong. First we'll create a new tool to draw better diagrams:" - ] - }, - { - "cell_type": "code", - "execution_count": 50, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "def plot_labeled_lines(points, *args):\n", - " \"\"\"Plot individual points, labeled with an index number.\n", - " Then, args describe lines to draw between those points.\n", - " An arg can be a matplotlib style, like 'ro--', which sets the style until changed,\n", - " or it can be a list of indexes of points, like [0, 1, 2], saying what line to draw.\"\"\"\n", - " # Draw points and label them with their index number\n", - " plot_lines(points, 'bo')\n", - " for (label, p) in enumerate(points):\n", - " plt.text(p.x, p.y, ' '+str(label))\n", - " # Draw lines indicated by args\n", - " style = 'bo-'\n", - " for arg in args:\n", - " if isinstance(arg, str):\n", - " style = arg\n", - " else: # arg is a list of indexes into points, forming a line\n", - " Xs = [points[i].x for i in arg]\n", - " Ys = [points[i].y for i in arg]\n", - " plt.plot(Xs, Ys, style)\n", - " plt.axis('scaled'); plt.axis('off'); plt.show() " - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "In the diagram below, imagine we are running a nearest neighbor algorithm, and it has created a partial tour from city 0 to city 4. Now there is a choice. City 5 is the nearest neighbor. But if we don't take city 16 at this point, we will have to pay a higher price sometime later to pick up city 16. " - ] - }, - { - "cell_type": "code", - "execution_count": 51, - "metadata": { - "collapsed": false - }, - "outputs": [ { "data": { - "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1810,968 +1171,17 @@ } ], "source": [ - "plot_labeled_lines(outliers_list, 'bo-', [0, 1, 2, 3, 4], 'ro--', [4, 16], 'bo--', [4, 5])" + "do(bind(rep_improve_nn_tsp, 3), USA_big)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "It seems that picking up an outlier is *sometimes* a good idea, but sometimes going directly to the nearest neighbor is a better idea. So what can we do? It is difficult to make the choice between an outlier and a nearest neighbor while we are constructing a tour, because we don't have the context of the whole tour yet. So here's an alternative idea: don't try to make the right choice while constructing the tour; just go ahead and make any choice, then when the tour is complete, *alter* it to correct problems caused by outliers (or other causes)." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# New Vocabulary: \"Segment\"\n", + "Not bad! We saved over 8,000 miles of travel in 10 seconds of computation! There are no obvious errors—all the really long links are gone, and Florida is cleaned up—but it is very unlikely this is optimal.\n", "\n", - "\n", - "We'll define a *segment* as a subsequence of a tour: a sequence of consecutive cities within a tour. A tour forms a loop, but a segment does not have a loop; it is open-ended on both ends. So, if `[A, B, C, D]` is a 4-city tour, then segments include `[A, B]`, `[B, C, D]`, and many others. Note that the segment `[A, B, C, D]` is different than the tour `[A, B, C, D]`; the tour returns from `D` to `A` but the segment does not. \n", - "\n", - "# Altering Tours by Reversing Segments\n", - "\n", - "\n", - "One way we could try to improve a tour is by *reversing* a segment. Consider this tour:" - ] - }, - { - "cell_type": "code", - "execution_count": 52, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "cross = [City(9, 3), City(3, 10), City(2, 16), City(3, 21), City(9, 28), \n", - " City(26, 3), City(32, 10), City(33, 16), City(32, 21), City(26, 28)]\n", - "\n", - "plot_labeled_lines(cross, range(-1,10))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "This is clearly not an optimal tour. We should \"uncross\" the lines, which can be achieved by reversing a segment. The tour as it stands is `[0, 1, 2, 3, 4, 5, 6, 7, 8, 9]`. If we reverse the segment `[5, 6, 7, 8, 9]`, we get the tour `[0, 1, 2, 3, 4, 9, 8, 7, 6, 5]`, which is the optimal tour. In the diagram below, reversing `[5, 6, 7, 8, 9]` is equivalent to deleting the red dashed lines and adding the green dotted lines. If the sum of the lengths of the green dotted lines is less than the sum of the lengths of the red dashed lines, then we know the reversal is an improvement." - ] - }, - { - "cell_type": "code", - "execution_count": 53, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plot_labeled_lines(cross, 'bo-', range(5), range(5, 10), \n", - " 'g:', (4, 9), (0, 5), \n", - " 'r--', (4, 5), (0, 9))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Here we see that reversing `[5, 6, 7, 8, 9]` works:" - ] - }, - { - "cell_type": "code", - "execution_count": 54, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "tour = Tour(cross)\n", - "tour[5:10] = reversed(tour[5:10])\n", - "plot_tour(tour)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Here is how we can check if reversing a segment is an improvement, and if so to do it:" - ] - }, - { - "cell_type": "code", - "execution_count": 55, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "def reverse_segment_if_better(tour, i, j):\n", - " \"If reversing tour[i:j] would make the tour shorter, then do it.\" \n", - " # Given tour [...A-B...C-D...], consider reversing B...C to get [...A-C...B-D...]\n", - " A, B, C, D = tour[i-1], tour[i], tour[j-1], tour[j % len(tour)]\n", - " # Are old edges (AB + CD) longer than new ones (AC + BD)? If so, reverse segment.\n", - " if distance(A, B) + distance(C, D) > distance(A, C) + distance(B, D):\n", - " tour[i:j] = reversed(tour[i:j])" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now let's write a function, `alter_tour`, which finds segments to swap. What segments should we consider? I don't know how to be clever about the choice, but I do know how to be fairly thorough: try all segments of all lengths at all starting positions. I have an intuition that trying longer ones first is better (although I'm not sure). \n", - "\n", - "I worry that even trying all segements won't be enough: after I reverse one segment, it might open up opportunities to reverse other segments. So, after trying all possible segments, I'll check the tour length. If it has been reduced, I'll go through the `alter_tour` process again." - ] - }, - { - "cell_type": "code", - "execution_count": 56, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "def alter_tour(tour):\n", - " \"Try to alter tour for the better by reversing segments.\"\n", - " original_length = tour_length(tour)\n", - " for (start, end) in all_segments(len(tour)):\n", - " reverse_segment_if_better(tour, start, end)\n", - " # If we made an improvement, then try again; else stop and return tour.\n", - " if tour_length(tour) < original_length:\n", - " return alter_tour(tour)\n", - " return tour\n", - "\n", - "def all_segments(N):\n", - " \"Return (start, end) pairs of indexes that form segments of tour of length N.\"\n", - " return [(start, start + length)\n", - " for length in range(N, 2-1, -1)\n", - " for start in range(N - length + 1)]" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Here is what the list of all segments look like, for N=4:" - ] - }, - { - "cell_type": "code", - "execution_count": 57, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "[(0, 4), (0, 3), (1, 4), (0, 2), (1, 3), (2, 4)]" - ] - }, - "execution_count": 57, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "all_segments(4)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We can see that altering the cross tour does straighten it out:" - ] - }, - { - "cell_type": "code", - "execution_count": 58, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plot_tour(alter_tour(Tour(cross)))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Altered Nearest Neighbor Algorithm (`altered_nn_tsp`)\n", - "----\n", - "\n", - "Let's see what happens when we alter the output of `nn_tsp`:" - ] - }, - { - "cell_type": "code", - "execution_count": 59, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "def altered_nn_tsp(cities):\n", - " \"Run nearest neighbor TSP algorithm, and alter the results by reversing segments.\"\n", - " return alter_tour(nn_tsp(cities))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Let's try this new algorithm on some test cases:" - ] - }, - { - "cell_type": "code", - "execution_count": 60, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "10 city tour with length 93.2 in 0.000 secs for altered_nn_tsp\n" - ] - } - ], - "source": [ - "plot_tsp(altered_nn_tsp, set(cross))" - ] - }, - { - "cell_type": "code", - "execution_count": 61, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "10 city tour with length 2333.4 in 0.000 secs for altered_nn_tsp\n" - ] - } - ], - "source": [ - "plot_tsp(altered_nn_tsp, Cities(10))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "It fails to get the optimal result here. Let's try benchmarking:" - ] - }, - { - "cell_type": "code", - "execution_count": 62, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - " nn_tsp | 5668 ± 488 ( 4674 to 6832) | 0.001 secs/map | 30 ⨉ 60-city maps\n", - " repeat_50_nn_tsp | 5118 ± 386 ( 4512 to 6069) | 0.029 secs/map | 30 ⨉ 60-city maps\n", - " altered_nn_tsp | 4820 ± 233 ( 4450 to 5346) | 0.008 secs/map | 30 ⨉ 60-city maps\n" - ] - } - ], - "source": [ - "algorithms = [nn_tsp, repeat_50_nn_tsp, altered_nn_tsp]\n", - "\n", - "benchmarks(algorithms)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "This is quite encouraging; `altered_nn_tsp` gives shorter tours and is faster than repeating nearest neighbors from 50 starting cities. Could we do better?\n", - "\n", - "Altered Repeated Nearest Neighbor Algorithm (`altered_repeated_nn_tsp`)\n", - "---\n", - "\n", - "We have seen that the *nearest neighbor* algorithm is improved by both the *alteration* and *repetition* strategies. So why not apply both strategies? " - ] - }, - { - "cell_type": "code", - "execution_count": 63, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "def repeated_altered_nn_tsp(cities, repetitions=20): \n", - " \"Use alteration to improve each repetition of nearest neighbors.\"\n", - " return shortest_tour(alter_tour(nn_tsp(cities, start)) \n", - " for start in sample(cities, repetitions))\n", - "\n", - "def repeat_5_altered_nn_tsp(cities): return repeated_altered_nn_tsp(cities, 5)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Let's see it in action:" - ] - }, - { - "cell_type": "code", - "execution_count": 64, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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pChI60o9cOQOAK4H/Al0lvvQqqlFOPhJevBT6rVSpeV4qCRfi2GnNzKPgd8cD\ntwMrRq1Ljf9eMSqB+FkD7XOJuT7cR9F3bxiwL7CldPhUs5PeKCz/fyWTXHdv4oy+GasD1wArA4Ok\neIp1FBMz1ge2gs0PlV4Ksc1lTJS98kTgdNj7djh6DxhRJ2Lrv8dImeulRkZ1aWp0AlHrXeO/VzJj\nAQz5E4a2LZX7yIxFgVtwqRp6SXwFIX9RYSTX3ZsYo2/GYrhonONwi7X/lPjdr6qcOR+4OGxmKW+i\nIjg3Ad8APaSeU822vw6m5jwKjiLNvo5axj0cUcfQFr4eD63a1v5tcUaLZrQFHsalZthW4qe4z1FZ\nzDgHztoLLmhZe0Dg3y3mzei7EMeqMLeTn4G9zgbeBLpJfOpLV76YsRGwGXCAby2B4mBGG1xFqn2A\nvwGjqsKEizQKbgYcAyusXorRohkrAk/iSmCemMRdpJC28NhZ28P7b0K/jxLnFvNXaaZmZaQTf4eH\nDvFdUabAijmPg47zrSO0oj3f/lFFpFtBS5fgfF1AE0Fj4LRecVURa+B864Nmgv4GMt/3O7vO+Cqq\nleAZLgeaA1rPt5aM+jzemNSXsANtGhmExXxrCS32Z7sS6BHQ+6DeJThfc9AZoK9AR1YZYGfseo6E\nPcY1VKKywHNuGxmnfX3f78a1pqf0JegO0OW+dWRrCfHpJ2NVuwD+Dlwgl1kvUAZE+ZyOBc7GBRTs\nqyJXQTKjCy4j63fARhIzq35XrEVUMwYBl+HKdz4f9/HjJ7nRMDUxYwugL7COby3ZSIjRT8aqdj6Y\nsTmwNnCbby2BeDCjG26hdj6whcT7RT5fc+AU4GRcOcNbpOKmFIkWic8EjgT6SLxbzPPFR7ZomJVW\nMaOTxCeehC3E1fJgBHCyPCZ+bAyPm7NqbvYY8kkSVrXz5HxgmMRvvoUE8qP+hqd+65pxOfA0cD3O\nGMZq8Ouf84p+wMtAH9zo/uYSGPzmwI3AnkDP9Bh8cPbhmI9r242jp8MBjwKvmzHcjCU8CgQXeTgb\nEl4lz6+Pbo9xcNhkeO9lUDPfvq48fHa9QdNALXxrCS3fZ5dpQfCk3+HNh0HLlvCcf8Czp5dq8RS0\nBOhJ0FOg1r6fQ2HX8Nj/wcmf113fAK0Iuhv0OehQ0CKl16aOoK9Ba/q+T41q9S4ANQM9DzrFt5Yc\n9Rrof6CDfWsJrZDnV/oFQd+LkKAVQJNAt6R5oAK6AXRSA7/fFPQi6PVSLL7XOfd9oOG+71EuzbtP\nX2KBGQchZqo3AAAgAElEQVQBE814Rsq8YSVBbAOsAIzyLSTQOFGK2w2ADV3bavfSLwj6W4SMiqI8\nhVt7Gi75T0PeBPoB12b7pcSEaCF1H+DOqJDJqRLTiinKjL64vTqHFfM8cZGIhGtyW9ZPBkaa8RfP\ncrJSIy/J+RJ/+NYTqMYMM2MlM3Yz4xwz/mXGdFwumwuBNYGX4N0XqLdxutiBBFWLkKU8J5ixJW7D\n1XkSw9Js8M1YDfgL8E5DfxcNZu/HRc+8BrxqxqXRjuNi6GqJywB8glKyizkxRVQig3o/MEvixHiP\nHc9OPjN2AC4H1ldCdy2mmVyfUxQlsRZu9N6NhaN4fsOlNqhqk4FpNZ+VjwpnpTpn7fu3aHO4YF1Y\ndX+JZ+I6hy/MGIxbfD44z8+1x+2m3hk4DxchFduAzYwzgR4Su8V1zKLj279Uxy/WLtrs1C++Y8az\nky/y5U8A7e37PpVjy/6cdugC2hw0BHQz6DXQT9GmqftAp4N2AK2Q37mKs+Gp8XMe+gb89Yu4z5n5\n/h06M4k7Vgu7Pj0MGtiEz3cDPQeaEpd9AXWOFm9X8X1/8tLtW0CGG9kX9FlcW96buohW/WU97E04\n7TtYOlUPOC0t+3M65/eos70RdDSoJ2gJ33oLv061A82NO1rN92Jxke9Zc9B3+XTsWY5juLQaU0H/\nAa3dxOM9Ahrq+/7k27wv5NZFYqwZDwI3mrG31FQ/ZIeOhS6iZZ6Wf/5MEqrflB/ZFjunjJfo40NR\nMZD41oxZQFdcgsGYyHb/NtjUjHaKSoumK2nZQjYGZkrMbspBIlvyiBlP4XZdv2DGPbg1urxKr5qx\nC7Auru5AqkjEQm4GzsDtdj2o0AOY0c6MU2CtTQpfRMtWDs9/9ZvyI9ti5xef+1BTZF4GesZ7yGz3\nr0VzYJoZd5vdvbcbxDxzIDzcx/3cfWypqnE1gX4Q37qExK8Sl+OMdgvgfTOOj9aKGiUKNrkaGKIi\np+goBok0+nK5bA4ELjNjlXw+a0YXM24ApgHrQaf94fjPCyv3lo58H+XB+ZNh6B+VUZZv3Idw3Cnx\nlkCcMjRzWcM7tgFWBybBuzendBCzHTEa/SokvpI4BrcremfgbTN2iYJKGuIM4DWldYHct3+pEZ/Z\nX0HjG/N/ghYB7Qp6BjQbdF5N/x+8+zwMfDnfhbvsftLB76Z5k0vSGmgr0JdwybalXmAt/bW27uwW\nWONPEdzYAjUMGFf7Xa5qe4zzfV8aeDdag34ELV7k8xhoJ9B7oDGgrln+bo1o8baj73tT8LX6FtDI\ng1gENA50ZpbftwGdEC3MvAYaBGpZ5296gmaAFs3//JkiIg6aDu+Mizqj1D74pLToSzQb1Ne3ltJc\nr78F1zQu9kaDubElPF8L0HG4lNMjQMtWd6YDxsHJs+CFVOy8zXqNvgXk8BBWgmlfw65PupvecyRc\n0Ad0Nehb0P2gXmTJYYLLNzK48PPXHz1FndFQ0CxQH9/3KK0timT5AHSUby2lu2Z/o+3Mg5jjf4a3\nnwK18X1vsrwj14BO83DedqArYdo3MPjr2vdsUCKLt+R8bb4FNH7zW3eGI2fXT1b16rWgFRt5cBvj\n4v5bFkeb+kWj1NPxkOQpzQ20KC5uOrHFJopz3b7z8NQdxGywJi4c9j24eNvqEW0y3Gu4/Rjd/J1/\nh0fTNjtq9Jp8C2j8phf+JQE9Cjq2uPq0Euhl0GOgpXzfrzS0yH96a/R8UpNdNZ5rb90ZDvs0aWX/\nYOxpbjCVHF2glSM3i7cBVRrXQRpriYzeqU1hETRRQYyNgVuKpQxAroh7b2AG8Fp03kDDnAJ0Bw5U\nhaWzcDHxe18KZ34CA56DfqOKmQIid85eD4Y1S1hkTz/gWYk//UnwkzepmCRuc1Z9slXMafSmDwUu\nVQlKGcoVUjnejJeAMWbPXgpnr5+yDTAlwYwBwPG4fCXzfOvxww5tYYd7Jc7wraSaRIYn9wPGeDw/\nUShsj/p5k9IbSpwCo5//TTdjPWBzYFCpVAJI3Gd26Vcw6yl4pkUNvT3CLl4wY2Nc5aYdJD7zrccj\nqwHjfYuoTcGDq6JgxiLAtrhZoTekuTPM2vSFacNdBzg79YO4xGTZbIjqreO53XQz7gMmSVxaMpEL\nz91rpNvpWPfL02+U9FLsBa7Tghkr4XaiHivxiG89PjHjBeAcied8a6kic8qRsxdA512k458uvR42\nAkZKyS0wnlZSMNKv8oOSk8E0Yx3cDrsjiqkpO4mcJnslql36OHBVpRv8iNWguIU98iXziPbsV2DH\nG83oIfFFiSXFmnohUE0qjH6enAX805+/OFnTZN+Y0Qy4F5gIXOZZjnfMWBxoByQup1CmwZUZSwGP\nmW05CBYMLeE61XbAFUU8fsWSCvdOrpixJvAisJrEXD8aSl+kI8mYcSWwPs6P/7tvPb4xowvwsMTa\nvrXkgstD89bDcPN2cFGrUrzTUcf4JdBB4se4j1/plNtI/0zgGl8GH+pOk7v1gD9/g0d3qlCDPxjY\nEVfxqOINfkTiXDsNISGzIb/A063qh3NOG06Obtc82QqYHAx+cSgbo2/GqsAuuIyCXqmaJpuxLXCe\nNGKGX0Wlx4ztcOXpNpf4zrOcJJEqo+9YboUSr1Nth/dQzfIlBZuzcuYM4HqJ730LqcEkoJtZ+XSu\nuRC5MEYCe0tpM3BFJ4VGv+QblMIibhEpC6NvRidgAPBP31pqEnVAsyAd/ts4MGM5XKTOXyVe8K0n\nKZi16ezCeU/ZH/bpn4LCJTWYMhSO/6wUtQ6iQuYdgdfiPnbAkeoRaHX8/qZbw89fwL1tYG5eZc9K\nwERgE2CKbyFQ3HJ5ZiwGPAKMkrg7jmOWAxkW97eGwWPTsmHPrVM9ew2cMRg+m1HkDUr9gHGVlp6j\nlKTW6Gf4InWEn5L4Raoy+rf7FpIlsiiW3cJRtaHbgE+Bc5sstqzIVnazaAuhRWDb9rDtiBJseAyu\nnSKTYvdOWurX3vkpnLZPvKXxCqWo9+xcYFXgEL8JspJIWWzY60qRZ6vRwCEY/SKT2pF+Gr5IzsD3\nvwRGLA2t+vjPw1Oce2bGgcDBuCRqPzflWOVJWWzYWw94uwTnmCcxvcjnqWhSPNJPQ8rTrsNhxKq+\nZyPVi4jfrhv3PTNjc+BKYFeJL5uis3zJVrS88IXQqmdaihmkGcsCi1GkXcTV7+cxD8OQP9O1yJ1C\nfCf0L7y4QevOcNxPSSr6kMQCDLVL5M0QnKS47hloVdAXoB183+ukt+qKVSd9CfuPb8p7mrnsYfHe\nfVAf0AvFuy+lu5bQlGb3ztxf4OPfYcdHYZnlk5nytHTT+uxROTX9+K2AE4CLgOl/wM/PwdijCrln\nZiwJPAEMlyh5Fsa0UWPD3j+AnyRmFH60ki8MF9GfXw6L3OkixUaffWGVR6TnD/YtJDt/fwOG7g3D\nFy1mAYbMUTknbWv2yr3Qo1/tTqcTMAw4ZgaM+rQQ42NGC+BBYIzEdU2/gopiOtCraYfItjbTYcWm\nHTcr6wFvFufQyV+bKzdS7NPnAOAe3yKyYcbq0Pc06LybK4lXzNJ4G15Yf7R05Qpw+3YwZ2pmP/5H\nbwEDouRWORNFWFwD/Aac3FT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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "100 city tour with length 5701.6 in 0.541 secs for repeated_altered_nn_tsp\n" - ] - } - ], - "source": [ - "plot_tsp(repeated_altered_nn_tsp, Cities(100))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "That looks like a good tour. Let's gather more data:" - ] - }, - { - "cell_type": "code", - "execution_count": 65, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - " nn_tsp | 5668 ± 488 ( 4674 to 6832) | 0.001 secs/map | 30 ⨉ 60-city maps\n", - " repeat_50_nn_tsp | 5118 ± 386 ( 4512 to 6069) | 0.029 secs/map | 30 ⨉ 60-city maps\n", - " altered_nn_tsp | 4820 ± 233 ( 4450 to 5346) | 0.008 secs/map | 30 ⨉ 60-city maps\n", - " repeated_altered_nn_tsp | 4640 ± 194 ( 4298 to 4991) | 0.148 secs/map | 30 ⨉ 60-city maps\n", - "----------------------------------------------------------------------------------------------------\n", - " nn_tsp | 7789 ± 458 ( 6877 to 8632) | 0.002 secs/map | 30 ⨉ 120-city maps\n", - " repeat_50_nn_tsp | 7189 ± 295 ( 6646 to 7742) | 0.106 secs/map | 30 ⨉ 120-city maps\n", - " altered_nn_tsp | 6589 ± 202 ( 6188 to 7016) | 0.036 secs/map | 30 ⨉ 120-city maps\n", - " repeated_altered_nn_tsp | 6402 ± 185 ( 6015 to 6779) | 0.701 secs/map | 30 ⨉ 120-city maps\n" - ] - } - ], - "source": [ - "algorithms = [nn_tsp, repeat_50_nn_tsp, altered_nn_tsp, repeated_altered_nn_tsp]\n", - "\n", - "benchmarks(algorithms)\n", - "print('-' * 100)\n", - "benchmarks(algorithms, Maps(30, 120))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "So, alteration gives the most gain, but alteration plus repetition gives a modest improvement in tour length, at the cost of 20 times more run time. " - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Non-Random Maps\n", - "====" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "I thought it would be fun to work on some *real* maps, instead of random maps. First I found [a page](http://www.realestate3d.com/gps/latlong.htm) that lists geographical coordinates of US cities. Here is an excerpt from that page:\n", - "\n", - "
\n",
-    "[TCL]  33.23   87.62  Tuscaloosa,AL\n",
-    "[FLG]  35.13  111.67  Flagstaff,AZ\n",
-    "[PHX]  33.43  112.02  Phoenix,AZ\n",
-    "
\n", - "\n", - "I also found a [blog post](http://www.randalolson.com/2015/03/08/computing-the-optimal-road-trip-across-the-u-s/) by Randal S. Olson who chose 50 landmarks across the states and found a tour based on actual road-travel distances, not straight-line distance. His data looks like this:\n", - "\n", - "
\n",
-    "Mount Rushmore National Memorial, South Dakota 244, Keystone, SD\t43.879102\t-103.459067\n",
-    "Toltec Mounds, Scott, AR\t34.647037\t-92.065143\n",
-    "Ashfall Fossil Bed, Royal, NE\t42.425000\t-98.158611\n",
-    "
\n", - "You can't see, but fields are separated by tabs in this data.\n", - "\n", - "Now we have a problem: we have two similar but different data formats, and we want to convert both of them to `Maps` (sets of cities). Python provides a module, [`csv`](https://docs.python.org/3/library/csv.html) (for \"comma-separated values\"), to parse data like this. The function `csv.reader` takes an input that should be an iterable over lines of text, and optionally you can tell it what character to use as a delimiter (as well as several other options). For each line, it generates a\n", - "list of fields. For example, for the line `\"[TCL] 33.23 87.62 Tuscaloosa,AL\"` it would generate the list `['[TCL]', '33.23', '87.62', 'Tuscaloosa,AL']`.\n", - "\n", - "I define the function `Coordinate_map` to take an iterable of lines (a file object or a list of strings), parse it with `csv_reader`, pick out the latitude and longitude columns, and build a `City` out of each one:" - ] - }, - { - "cell_type": "code", - "execution_count": 66, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "def lines(text): return text.strip().splitlines()\n", - "\n", - "def Coordinate_map(lines, delimiter=' ', lat_col=1, long_col=2, lat_scale=69, long_scale=-48):\n", - " \"\"\"Make a set of Cities from an iterable of lines of text.\n", - " Specify the column delimiter, and the zero-based column number of lat and long.\n", - " Treat long/lat as a square x/y grid, scaled by long_scale and lat_scale.\n", - " Source can be a file object, or list of lines.\"\"\"\n", - " return frozenset(City(long_scale * float(row[long_col]), \n", - " lat_scale * float(row[lat_col]))\n", - " for row in csv.reader(lines, delimiter=delimiter, skipinitialspace=True))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "You might be wondering about the `lat_scale=69, long_scale=-48` part. The issue is that we have latitude and longitude for cities, and we want to compute the distance between cities. To do that accurately requires [complicated trigonometry](http://en.wikipedia.org/wiki/Haversine_formula). But we can get an approximation by assuming the earth is flat, and that latitude and longitude are on a rectangular grid. (This is a bad approximation if you're talking about distances of 10,000 miles, but close enough for 100 miles, as long as you're not too close to the poles.) I took the latitude of the center of the country (Wichita, KS: latitude 37.65) and plugged it into a [Length Of A Degree Of Latitude\n", - "And Longitude Calculator](http://www.csgnetwork.com/degreelenllavcalc.html) to find that, in Wichita, one degree of latitude is 69 miles, and one degree of longitude is 48 miles. (It is -48 rather than +48 because the US is west of the prime meridian.) \n", - "\n", - "Now let's create the map of USA cities, and find a tour for it:" - ] - }, - { - "cell_type": "code", - "execution_count": 67, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "USA_map = Coordinate_map(lines(\"\"\"\n", - "[TCL] 33.23 87.62 Tuscaloosa,AL\n", - "[FLG] 35.13 111.67 Flagstaff,AZ\n", - "[PHX] 33.43 112.02 Phoenix,AZ\n", - "[PGA] 36.93 111.45 Page,AZ\n", - "[TUS] 32.12 110.93 Tucson,AZ\n", - "[LIT] 35.22 92.38 Little Rock,AR\n", - "[SFO] 37.62 122.38 San Francisco,CA\n", - "[LAX] 33.93 118.40 Los Angeles,CA\n", - "[SAC] 38.52 121.50 Sacramento,CA\n", - "[SAN] 32.73 117.17 San Diego,CA\n", - "[SBP] 35.23 120.65 San Luis Obi,CA\n", - "[EKA] 41.33 124.28 Eureka,CA\n", - "[DEN] 39.75 104.87 Denver,CO\n", - "[DCA] 38.85 77.04 Washington/Natl,DC\n", - "[MIA] 25.82 80.28 Miami Intl,FL\n", - "[TPA] 27.97 82.53 Tampa Intl,FL\n", - "[JAX] 30.50 81.70 Jacksonville,FL\n", - "[TLH] 30.38 84.37 Tallahassee,FL\n", - "[ATL] 33.65 84.42 Atlanta,GA\n", - "[BOI] 43.57 116.22 Boise,ID\n", - "[CHI] 41.90 87.65 Chicago,IL\n", - "[IND] 39.73 86.27 Indianapolis,IN\n", - "[DSM] 41.53 93.65 Des Moines,IA\n", - "[SUX] 42.40 96.38 Sioux City,IA\n", - "[ICT] 37.65 97.43 Wichita,KS\n", - "[LEX] 38.05 85.00 Lexington,KY\n", - "[NEW] 30.03 90.03 New Orleans,LA\n", - "[BOS] 42.37 71.03 Boston,MA\n", - "[PWM] 43.65 70.32 Portland,ME\n", - "[BGR] 44.80 68.82 Bangor,ME\n", - "[CAR] 46.87 68.02 Caribou Mun,ME\n", - "[DET] 42.42 83.02 Detroit,MI\n", - "[STC] 45.55 94.07 St Cloud,MN\n", - "[DLH] 46.83 92.18 Duluth,MN\n", - "[STL] 38.75 90.37 St Louis,MO\n", - "[JAN] 32.32 90.08 Jackson,MS\n", - "[BIL] 45.80 108.53 Billings,MT\n", - "[BTM] 45.95 112.50 Butte,MT\n", - "[RDU] 35.87 78.78 Raleigh-Durh,NC\n", - "[INT] 36.13 80.23 Winston-Salem,NC\n", - "[OMA] 41.30 95.90 Omaha/Eppley,NE\n", - "[LAS] 36.08 115.17 Las Vegas,NV\n", - "[RNO] 39.50 119.78 Reno,NV\n", - "[AWH] 41.33 116.25 Wildhorse,NV\n", - "[EWR] 40.70 74.17 Newark Intl,NJ\n", - "[SAF] 35.62 106.08 Santa Fe,NM\n", - "[NYC] 40.77 73.98 New York,NY\n", - "[BUF] 42.93 78.73 Buffalo,NY\n", - "[ALB] 42.75 73.80 Albany,NY\n", - "[FAR] 46.90 96.80 Fargo,ND\n", - "[BIS] 46.77 100.75 Bismarck,ND\n", - "[CVG] 39.05 84.67 Cincinnati,OH\n", - "[CLE] 41.42 81.87 Cleveland,OH\n", - "[OKC] 35.40 97.60 Oklahoma Cty,OK\n", - "[PDX] 45.60 122.60 Portland,OR\n", - "[MFR] 42.37 122.87 Medford,OR\n", - "[AGC] 40.35 79.93 Pittsburgh,PA\n", - "[PVD] 41.73 71.43 Providence,RI\n", - "[CHS] 32.90 80.03 Charleston,SC\n", - "[RAP] 44.05 103.07 Rapid City,SD\n", - "[FSD] 43.58 96.73 Sioux Falls,SD\n", - "[MEM] 35.05 90.00 Memphis Intl,TN\n", - "[TYS] 35.82 83.98 Knoxville,TN\n", - "[CRP] 27.77 97.50 Corpus Chrst,TX\n", - "[DRT] 29.37 100.92 Del Rio,TX\n", - "[IAH] 29.97 95.35 Houston,TX\n", - "[SAT] 29.53 98.47 San Antonio,TX\n", - "[LGU] 41.78 111.85 Logan,UT\n", - "[SLC] 40.78 111.97 Salt Lake Ct,UT\n", - "[SGU] 37.08 113.60 Saint George,UT\n", - "[CNY] 38.77 109.75 Moab,UT\n", - "[MPV] 44.20 72.57 Montpelier,VT\n", - "[RIC] 37.50 77.33 Richmond,VA\n", - "[BLI] 48.80 122.53 Bellingham,WA\n", - "[SEA] 47.45 122.30 Seattle,WA\n", - "[ALW] 46.10 118.28 Walla Walla,WA\n", - "[GRB] 44.48 88.13 Green Bay,WI\n", - "[MKE] 42.95 87.90 Milwaukee,WI\n", - "[CYS] 41.15 104.82 Cheyenne,WY\n", - "[SHR] 44.77 106.97 Sheridan,WY\n", - "\"\"\"))" - ] - }, - { - "cell_type": "code", - "execution_count": 68, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plot_lines(USA_map, 'bo')" - ] - }, - { - "cell_type": "code", - "execution_count": 69, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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HwJDfEVt4+t1whU/ND+Dwf6juGXfBnh64egqJJWd6WToCarrDy09mfUVcKaiy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\nhmEYRlFMWRiGYRhF+X/yRvdjURKB8QAAAABJRU5ErkJggg==\n", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "80 city tour with length 13562.6 in 0.297 secs for repeated_altered_nn_tsp\n" - ] - } - ], - "source": [ - "plot_tsp(repeated_altered_nn_tsp, USA_map)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Not bad! There are no obvious errors in the tour (although I'm not at all confident it is the optimal tour). \n", - "\n", - "Now let's do the same for Randal Olson's landmarks. Note that the data is delimited by tabs, not spaces, and the longitude already has a minus sign, so we don't need another one in `long_scale`." - ] - }, - { - "cell_type": "code", - "execution_count": 70, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "USA_landmarks_map = Coordinate_map(lines(\"\"\"\n", - "Mount Rushmore National Memorial, South Dakota 244, Keystone, SD\t43.879102\t-103.459067\n", - "Toltec Mounds, Scott, AR\t34.647037\t-92.065143\n", - "Ashfall Fossil Bed, Royal, NE\t42.425000\t-98.158611\n", - "Maryland State House, 100 State Cir, Annapolis, MD 21401\t38.978828\t-76.490974\n", - "The Mark Twain House & Museum, Farmington Avenue, Hartford, CT\t41.766759\t-72.701173\n", - "Columbia River Gorge National Scenic Area, Oregon\t45.711564\t-121.519633\n", - "Mammoth Cave National Park, Mammoth Cave Pkwy, Mammoth Cave, KY\t37.186998\t-86.100528\n", - "Bryce Canyon National Park, Hwy 63, Bryce, UT\t37.593038\t-112.187089\n", - "USS Alabama, Battleship Parkway, Mobile, AL\t30.681803\t-88.014426\n", - "Graceland, Elvis Presley Boulevard, Memphis, TN\t35.047691\t-90.026049\n", - "Wright Brothers National Memorial Visitor Center, Manteo, NC\t35.908226\t-75.675730\n", - "Vicksburg National Military Park, Clay Street, Vicksburg, MS\t32.346550\t-90.849850\n", - "Statue of Liberty, Liberty Island, NYC, NY\t40.689249\t-74.044500\n", - "Mount Vernon, Fairfax County, Virginia\t38.729314\t-77.107386\n", - "Fort Union Trading Post National Historic Site, Williston, North Dakota 1804, ND\t48.000160\t-104.041483\n", - "San Andreas Fault, San Benito County, CA\t36.576088\t-120.987632\n", - "Chickasaw National Recreation Area, 1008 W 2nd St, Sulfur, OK 73086\t34.457043\t-97.012213\n", - "Hanford Site, Benton County, WA\t46.550684\t-119.488974\n", - "Spring Grove Cemetery, Spring Grove Avenue, Cincinnati, OH\t39.174331\t-84.524997\n", - "Craters of the Moon National Monument & Preserve, Arco, ID\t43.416650\t-113.516650\n", - "The Alamo, Alamo Plaza, San Antonio, TX\t29.425967\t-98.486142\n", - "New Castle Historic District, Delaware\t38.910832\t-75.527670\n", - "Gateway Arch, Washington Avenue, St Louis, MO\t38.624647\t-90.184992\n", - "West Baden Springs Hotel, West Baden Avenue, West Baden Springs, IN\t38.566697\t-86.617524\n", - "Carlsbad Caverns National Park, Carlsbad, NM\t32.123169\t-104.587450\n", - "Pikes Peak, Colorado\t38.840871\t-105.042260\n", - "Okefenokee Swamp Park, Okefenokee Swamp Park Road, Waycross, GA\t31.056794\t-82.272327\n", - "Cape Canaveral, FL\t28.388333\t-80.603611\n", - "Glacier National Park, West Glacier, MT\t48.759613\t-113.787023\n", - "Congress Hall, Congress Place, Cape May, NJ 08204\t38.931843\t-74.924184\n", - "Olympia Entertainment, Woodward Avenue, Detroit, MI\t42.387579\t-83.084943\n", - "Fort Snelling, Tower Avenue, Saint Paul, MN\t44.892850\t-93.180627\n", - "Hoover Dam, Boulder City, CO\t36.012638\t-114.742225\n", - "White House, Pennsylvania Avenue Northwest, Washington, DC\t38.897676\t-77.036530\n", - "USS Constitution, Boston, MA\t42.372470\t-71.056575\n", - "Omni Mount Washington Resort, Mount Washington Hotel Road, Bretton Woods, NH\t44.258120\t-71.441189\n", - "Grand Canyon National Park, Arizona\t36.106965\t-112.112997\n", - "The Breakers, Ochre Point Avenue, Newport, RI\t41.469858\t-71.298265\n", - "Fort Sumter National Monument, Sullivan's Island, SC\t32.752348\t-79.874692\n", - "Cable Car Museum, 94108, 1201 Mason St, San Francisco, CA 94108\t37.794781\t-122.411715\n", - "Yellowstone National Park, WY 82190\t44.462085\t-110.642441\n", - "French Quarter, New Orleans, LA\t29.958443\t-90.064411\n", - "C. W. Parker Carousel Museum, South Esplanade Street, Leavenworth, KS\t39.317245\t-94.909536\n", - "Shelburne Farms, Harbor Road, Shelburne, VT\t44.408948\t-73.247227\n", - "Taliesin, County Road C, Spring Green, Wisconsin\t43.141031\t-90.070467\n", - "Acadia National Park, Maine\t44.338556\t-68.273335\n", - "Liberty Bell, 6th Street, Philadelphia, PA\t39.949610\t-75.150282\n", - "Terrace Hill, Grand Avenue, Des Moines, IA\t41.583218\t-93.648542\n", - "Lincoln Home National Historic Site Visitor Center, 426 South 7th Street, Springfield, IL\t39.797501\t-89.646211\n", - "Lost World Caverns, Lewisburg, WV\t37.801788\t-80.445630\n", - "\"\"\"), delimiter='\\t', long_scale=48)" - ] - }, - { - "cell_type": "code", - "execution_count": 71, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "50 city tour with length 10236.7 in 0.125 secs for repeated_altered_nn_tsp\n" - ] - } - ], - "source": [ - "plot_tsp(repeated_altered_nn_tsp, USA_landmarks_map)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We can compare that to the tour that Randal Olson computed as the shortest based on road distances:\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "The two tours are similar but not the same. I think the difference is that roads through the rockies and along the coast of the Carolinas tend to be very windy, so Randal's tour avoids them, whereas my program assumes straight-line roads and thus includes them. William Cook provides an\n", - "analysis, and a [tour that is shorter](http://www.math.uwaterloo.ca/tsp/usa50/index.html) than either Randal's or mine.\n", - "\n", - "Now let's go back to the [original web page](http://www.realestate3d.com/gps/latlong.htm) to get a bigger map with over 1000 cities. A shell command fetches the file:" - ] - }, - { - "cell_type": "code", - "execution_count": 73, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "! [ -e latlong.htm ] || curl -O http://www.realestate3d.com/gps/latlong.htm" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "I note that the page has some lines that I don't want, so I will filter out lines that are not in the continental US (that is, cities in Alaska or Hawaii), as well as header lines that do not start with `'['`." - ] - }, - { - "cell_type": "code", - "execution_count": 74, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "def continental_USA(line): \n", - " \"Does line denote a city in the continental United States?\"\n", - " return line.startswith('[') and ',AK' not in line and ',HI' not in line\n", - "\n", - "USA_big_map = Coordinate_map(filter(continental_USA, open('latlong.htm')))" - ] - }, - { - "cell_type": "code", - "execution_count": 75, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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O8iCp6b6KbhSUz2Ut4/Du0Q4ScdFf8e/JJXhDBBUVtCGEG8iQSl47KICNHwBr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\niLSOQenv2SOkiWm/qGe2d9H3uzQLpUWte8nl7wl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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plot_lines(USA_big_map, 'bo')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Let's get a baseline tour with `nn_tsp`:" - ] - }, - { - "cell_type": "code", - "execution_count": 76, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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DEqlepx7rDrfkgb61yDcA8ZtFrga5179xgosa8t3vB/KwmzOXDEgvkL+hOP87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\n5kI7Bbh+n98F2XjR+L2WTu4d3DcH+DIXeBJqzjIeTMlcdLstMq6hXpf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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "1089 city tour with length 52879.1 in 0.177 secs for nn_tsp\n" - ] - } - ], - "source": [ - "plot_tsp(nn_tsp, USA_big_map)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now try to improve on that with `repeat_100_nn_tsp` and with `repeat_5_altered_nn_tsp` (which will take a while with over 1000 cities):" - ] - }, - { - "cell_type": "code", - "execution_count": 77, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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qxb/3vf4t+yEcVwwFwPrXgfe8fnUuhFufglO7BtfkKoHrgAec97rrZ9mJcOYT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\nYN+c9lBC34KvN2ddVuxNvol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vLy8bh7DbvTZsGvaDMKbR7uaIEvrmi9rT/mdH\nCxx7Ta55zkex5ZyAduuIqpDXrBZXuSjJZJLAkGZ1mJQ1hGPDx2l21qpVbVFr1aK/6QOVixE+ZEB+\nCjLN+3d7mJKC9Q7sdOkHzQSJ00xATgT5myrp2v+PijHe3hrc6Dbnvr1WunpuxFPmvoehRaLH24rz\n9TGQAfDy7zypdkod/O8o6HpafOKlkcntDY9ZkrrZtux/91m9OJd9TRDCfepmiYCLOmTTQNrU7FWF\npeJrd4RNw1H1wXUNVvdT+QU/XdOq2Js3Px36lnMC2rUzFJSokoxlEqzdO6ZB/da9VqnLgxuhh6E4\nffYqbtj+XCYwfL/6jgvkJt/BgX5W/07u2G4LTIVHX/F81fcah0a7FAzSG+Q9VA3njs7fHgaR4Hu7\n14adjtUSnc8ifeDmbck0i173J+tXUgiOGbugencypq6bsI4dGR0SHMfo9fl2HbbJDhzMuE9iLgUb\ndcjaUHJNDPyWbTDm+aD5L27M3d+610Kvzbboreg57d2k+paH9jhcWs4JaNfOGAsfiWUjtI35hr/t\nMoLFEi5yX7lHbXS5FeTb3jM2Zta7m/390f2KpzM6xBPkKJDbQNaBDAw+++dr1P1+B7RbS1mHmNBh\n0YcvUvDir/4BZDU8PDneZ3HdNnjzdZCTkvcvYF6qN2tPwzYkl6xt1RBv3AbDFgR9KrZiRO4hZAPM\n67HBi4ayR/zYI67KrN80j9HyJ+HqjaZvRK/N5JFH5ufNEV6W50uUaTl5db98O7gt5wS0a2cY0pg0\n9DUYKz5TlGMyWbEh87ddRuDWCXa/6zquB+1UyKMv/zb4nM6UXv0DyKP48JK8+9peZyM69FJOAnkC\n5CmQLuHvV60Kf9/udzEzjGs/gIu/au67KWtYbgdZCd/qFR/ma8IMc+si+OmLZurxY1hQCFNXwVVv\nhA+S7HDFwhJ5uPKbMj0Z1/b+pOsCpAhkDXz9S1FRU20VTuzP1yRet0qT69lqRvPNaxaHuuWcgHbt\nDL0b7ZqFZ0MPxoq3T+y2tzn8gG0mh+d11spn6j1yNMgCkF8SBB08Aeq3qhj/7MMG7QztvtEg74Pc\noR9Uwf6Fx9WsHd1W0n7a0JO3hCukmcJ8bSaxiyUID9G91mxmioqU8of3Rh0IUcmIl7wAEwxAj0ml\ndZNmUSfQo0kJSgfwvKLW119Bro3/VluKcQ1fpGjRD2kRP5ZVgrVaAv1askGPzrf2bzknoF07Yy2p\nOk4UoqpJwmsfm6jHhMt875sp2UhFIMeCvAQyz/e3b4P8vH3GqaBQlcq8rh4uvAee+yHIWrh/bHSE\nkIiJeYQZ5D++CbIeJr4SvNc1V5VvSXPYJT107BpDAJ7bMQkWlMDoHfGmGD0Brb+lFGuaIlX9t8Pg\nlxXzH7DE0yTigBJ1n0WdKLt+/KHnrKEeqKz72LK2aQ96exCFHZMqfo3qeVQuKGJ08ES+HZyWcwLa\ntTMHzBDTREVEVYqSKheLX7uAkf/wFnD7FVJR3++2ACqdrFVTEaaGRO9GmYRWwZM3Q58HYM5epVW0\nj0QFMgFkIciTIH+HqeebYcsP4AOlylAG6RnEXcoeVjqplGuv/xyG507CDM2RXuls6Pbv9HT8M+k0\nWy0aakfy0NTi+TB7syoSlSQPw166OF0/hzh9tNV8twknpve56LnphI18a5+WcwLavUMqkqLFHIEx\nuFHdc/Xy9tYsNBpK1Ea22WyTSld39rbAdBS2fZxkrkPXPJCjom3MImYY6rh4/ulFMN2p2ZD9OCfX\nLGxhvLNDjD1Z+Kjp8EmbBxGVEDlLlPaZ7bhE5YPEFusyQr0E7z8AA77Tq2pnAvyTArjGAhkyR5QD\n31Tz3ZzLYR63fA2LXLecE3BQOmU0R9QJXLgTxi6FmbugfHUan0WUFGSmwcYkRrcmXeDtZfMPvlOO\nAvkWyF4Qiad3rjaGPVY7yYqOCSV6LBRK7zVvwtj9aSTy8NgnqRJnMhtNE3Mmsn9s/bDgXoCDfR1V\nJD7A7XPoMvly7bfkpjr1e7SmY5fQda1h4mp4cJxKGjWvOfM8TNmsgCpN+E5uP23mQVNlRh1+x/0t\nH0Kb65ZzAg5Kp0KOzjoJh7O6JhZ/9MmN22D4QjMTShdGaGcSsyV5P9ovvFf1of8fVTbz9evgmvNA\ntoIcH02vnrE8YmeURGj/vg3HKY0Nu3g+jH1eoaSecbr9vu61MGwvDPtAxevbIERskPTuPTaHebcF\nUZFE8WvHXxioyvf+dNKzM6cWQM2ocF0b471+LVSvs605+xq5+E/RPgabedBkAvaHXCdBH86H0B6q\nlnMCDkqnKCiEITs857Lf6Sy+xaybMZ7/kTJRBVTsTjDyyeDzrno+pNHGLMxM4qr1DpPolawf7RVN\nVFBoRmd981WQHnZ6TfhALvR7OprU+/X62FM2ZRfRteJZqHjGbOv2h8/OcOa+bB/03KBHCkXnLriR\nT8NagqG46SNxvO+Yyq3OliDgZbr5xgioGReua2e83v3homFxwouipf/2MK6VzTxoWkd61KI/qzuv\nWeSy5ZyAg9YxBizxFnuVYYGLEErCuuK94Kab3gL1zXDj1uBB4Zf+wo674Dv9EmjJV5z3bIAHxyfL\nG8g+MUq9QzqqyCfTRpv+DkhVmN7xL8O1W6BMqxHtSsQmibDyhfB7TPbwPg8oR+st2+GdVvjtiHTm\nvYJCmLTOzhxdbcAEE5EGVXfokjaE1yacy9H7Yaoov0W1qIz/6HVqHpPe3WDuPvPh+dj0sLZi10a8\nw9YE56/n1ISFpuCadzV2U13u0e9BuRYOPV6gdE30+C0U5eSuFBUkcOzIXPOaj0rLOQEHrWOJwmP9\nUoxVil+jHOamd6U1G0gGZD/8z2VJHdfe5kvuJ/B973MgTyvmLFrfGgQu2QHXvRNmMF//Ety2BwZv\nVJL5DAmG/pokwlubQJ6BR6dAVQwCrxwFckd2VeWitS1lH7dFooVLcEa8L5Ekm+ZADzLSHqujcabs\n3zTM81kgdeZvzRWYuV9L8ovJFbHjfQWd33Zfn3lcxgqct1OZ8brXegexPwemxhl708F37EgVaRj4\n5h5bqHC+tTNPzTUBB61jyobaZF/YQfyi6KgV//N+qTobs4Fsg16/T/Nc2ogW5zsDUZAdc2DQn8MS\noQ1SwpQXMETgRmcjD11j9ll0PQ3kMlViNVnfYNRT6cfPrgmo390qeab3zpNwuG1BIYx/J9wfWz1z\n/fmowybK1zCyxXyAJw9X9c11Ocgj0etlbAAyPaz1Jsqp2eLVX4mDNtGr6bmCRpkocMHzXjN/Y654\nZrKQSc12gNfnmt98FFpHjuhr11HwXaADsA8YCZwFrAR+CKw60bt33VpoBjr5nm8Gjga6AjNQ71qK\nd98HwA+AVucbE5x7T+4SQVQTfPaU4Hdw3md77sw74e7TvGc6AbeeBq0L4Bed1L+bgSk9MpnCgdAw\nCagCKoDn4L/+CddvgP86Ud3738AdBN9392mw6k71b/db7wK/Au7D+8ZV++HRSiidouhtXAvLakS2\nNwCrMplV10CnPsn6tq813TiAfZ5azspkOhdCt+dgb5n5vXtR9KpL3X/mndAxA5ftgH2vQ9M7sKxG\n/b35gvB3vOfV9dku5m/1PRVOeyKT6dzfGRvfdead8JVPhPtxArD8cShtNoxt1HUaalH73q+vl59/\nAr5bBg1n+WiqNL/ONsZ7Pw2/LYPvvgP7dtrmTo3r0IFwM966uR2YBpwN3NgBrvwqrAC6ad9oRf39\ndtSeutVdl5Vw8nGWbx4XMz75qz2uXJ9WB6tF5w24kmf/7dFq83iBKzXpaIbA2Iiku7Cpw3t/8Xy4\npRku3pa0cJF6Nk1Ey+z1II+DnKielW+C/CUoSdqiU/T8g4NTNTCbe4PjWNFkG3f1e6mlpnTcfPu1\nq+61ULXb9HuyPsyL6LcLvqib4Ma2xEdWmXxBcjfIddHrRZx1nMSsZQpBduvDTHbG+lJLHlFUwqO7\n9w7MR1P4GyMl6NuYJW6xpLxmkWOemmsCDlrHrBtmjHjhkkHGbo7mcCOC3MU8zWkXRJTdTBJ6q1cm\niyqSM2BL+Fu2iJZrV4J0UO+Qr4OsJwQKGAVo5/8tm3rkaW34oQisfXDfmOj3X7ozjHIrohymfdfD\nj7eFzTl6edIkWFeuAzeqeuHxp8J4zf/kD42Nqk0SjjhKN66u03n2FhWxFwdY6DLqeHwmuxnJZfhu\nAIDpsI3ae/7ouqFLoGg1B2rQXCAWIare25+hxNC8z+IQtZwTcNA6Zt0wg3UGs8WTSOM2WZMo+JAG\nsUdYDV2SnJZLd8C01XDlvxRYngwHuQi+3w/G+aSoOoFKLXIkLr5ePg6yHGR0mJ44qdr9LbtEKG8s\np7wF174VLS1/9guqoJJrO793NMhakJtMkrT6r80R7NJbtVc5Q6NQVS9/xjx/gxMh0gb7ePEetS5M\nobFJqx5m69ivCb1DjeFMjan64cGjkV/VO3o3mlEQXJ+Cfz50dFx7jlFYOPEfLDfG7ilCxZ/yB8Wh\najkn4KB1LHHegMtgopyafgn7Bud+HYrcfV/vUO6FXdKaXAcyC1UU6ZcgtSDPwM1bw+92S8C6G7Ow\nT9iMUdbgAdJdvRxe/ws+5Nrw+NgcnO5vpUuiYvjj5+CuQaovUSGlcjTIPu1vp8Ab/wrXLHfnyGTC\nmagz6fpwf1w6/nytSuyzzZ9prmauA5kB0guGnRVeW9NEmWhC2oxxrHw0/R1mNEPfvweRbfVDcvSz\n8WvTZcDyNDx+vVoLI3aqw8E9KKJrSpj3jX7QhLXn+He4gIeBdVQSNC3ls7QP55ZzAg5q5wIM0VRX\n2G8uaBIo3mGWDv2aRY3znKnS3HjxQAuT1TEw050E4XX2FiWpjVym7u9eG7Yzj8uqNod5DCe+ovwh\nbSl+YzK1ldwLt7WGD6ySe232abMJZ6Y+VlvsdMzcAzOuNtNnq89R9TzIXSDPwlyLCbJafDkZe1WI\naJK8kas2aHRoRaAmN0L1rmit123j/wnyFkhHL2eiTJJWq4vWYKpFJbtGS/Pqu0W1MGYP9N/sRGGV\naMJJiZfH4vr+2qdcQL4dnJZzAg5pZ1Wd7nUwolVpBno5ykoJFs3RfRajJYg15Nq0q8TzcfgPllgw\nt0IznbYN273WlsOQjbPYMkYWJ2rJV1TuxWVPJ0uei8uHiB6T+GS5OI3RtXNH+WdstSfiDrnhfzfT\nNngDXLYrKMlna16ap/27z6Jk/Z69AaQy+O7kErt93IfsjquVkWatB/u9WLwESjdB0e4nyrfctJwT\ncMg6Gqleu//223+rBb4h0FtglCib9CBRiUW2d4gEzQKmMp3TVsPEl7NQ41dC7wXmTX9rk4IwFwm3\n5Ng50fkcaW3scdAQcYdJUiZf2QiX7A9CcpQfcHq2rYhP6ipyqSEpkgE4KnrjNeUJjXDNdnWYFc9X\nmdMiZrPdmH0KDba7hiY7pNE77Ox98LSHIY3QawOcu9pJGK1PEulnRpVNBqCYb7lpOSfgkHU0NsTR\nJKX1EaVJDBJ1YFwkCm5gtijV3rSpwppFkA75Jr6iRnZ6dYb18CSYs8fMWCqWqPrWbdMsoh3xaZmg\n7V0X3ad+j8UZSiihDjsLpmjO/9HvZWsCTDZONtqSJfIlX5fR9IYPj4m7gjT5gyD8yLp9RIWA14gK\nhzUlWvo16iRFoarF08Z1AUqNQVBr7b22vecl3w5uyzkBh6yjVuZU2Qq9d5pLQJaKOZdiprMppot9\ng41pMDuNr1kJV9clt/2fcTpUvQ1j90FPi93albbbiiNlG6PLmrOTznV6pm6HN14GOUHRbIJ7CIQy\nO2N2cxMM/ovZQZ7U3GXHeLKZ3qLHymTCyjZvRB+nca1Bn0WFtfqd9x4d7FKc8dQDFKpECUCuFjbJ\n+bcJwiUcrBE95v4cJv2wK1odDGeuExW1lvdPfFjaEZ7B7b9sWaknrocdq+GEouD9zcBu4KcEM2G/\niUqO7obKMP2uc9/rwOnAr1FZqC0H3qQyWoc94WXVNgPNgexeL5v4s10Urcvuhq/fBmf1h64dYBLQ\nchRcB/xffFnbq9ws30ymc3+V7Zoq+zfBGL23HppPjc9m9i4bPfDTq4BnoeOPYcZoKOqgsuRHAd/e\nq/rtvQOozGS4D/irCIa+2DKoVRa4Q8cE2PdX+O8CZ9wKYMpvFX0QnpspPcyZ18H+4WRAe3N34heg\nbAf8pECtj2ZUEuamefrz3jOlXeCt16FsLRQVwZZ6WHAHrP05fKNAjc3cAuj4W52m4kzmFyfC+Ts4\n9iu9+PjH4avAp1lNB95hMGp9rnkLSt9w5qAYvvpx+A5eX29DZUxry59OwKfrRB4yZHnbxrwDau27\n2fK447kXvvF577ugxueWjlD6DpzckN16zV+H9Mr1aXWoml3yfvIWeO3RsFo9RpTTTQyt0rnHtStH\nOxCzc/ZW7QtKl+NEaTQLRZnABm9ob9uuouM6U6hsap9F9Hf+XgMTNEC4qOx3mQPyPfO74qX5aP9H\nkuftmod57iq2q7Djknth+RPw2iOq1rk/NNaUjPjHCUn7JCIMhX+ZFmgvztNoOVDMyRIuXGrRLPzr\n09//MW/HaxYHwrwdH0b7lS/Ot9y0nBNwSDtrNB2MP0dF+ZQ/rxZ26RI47324VOx1MAaJMk+5yWHR\nG8Fu3rlxG8jfoquM+f9d7TDVGaLi59v7oLjwHpi1F0pWq3HwR0PZErCyMeFE2elN4ZwyFOSvdrpj\no5ciQpFtv127CqQMbu8ZHbUVJwh8/UswTcsmH70jygnsOab1Nvhl/1j34dhd5sOiq+W9gzda3rvf\nVtDKPL7X7oYyrT6K32dhimrL51B82FvOCchp5yOjf/qvhYHiaRHu75cLlAj0EzhXYExrFLS0w0wt\nhW+GPgZyMUxaZt7E+iHkVlVznetFVniIdhqHwoPzXBTCr1Gz+ALI6mg6sopeitAsrloG8heY0xw9\nt3acrehv6/kRgWcsUVU9A1nZvTjB9GHpxb9b3muDHj/vcbswEAWLUlSrMt7daKjSEHy+EkCaJF9D\n+8Pfck5ATjsfuxGGbYFerXCewFBRUCELRSXfjRaVq1EncM77Fmhpg7nBNbckkU51zcKt1zzK2XyD\nGw/uOMTBerT3c+bMYJAOIE0gn8quf25ymj+8tnSNk+G8PGwSS5LvMWkLXL0xrgZF9MFoe2bAkjBj\nnSWqUJL3TC/+3fRig2bx9YfVmA9YEgZh/P/tnXt4VdWZ8H+LqxgSQLmKlHBpFYtWrOWu5WKkICCg\n44AgUkEEBS2K9wA6Mi1ap35ObT9q1fGZwerwOYKlY1Usaj9AmYoXoLGVWwLIXUXIRUjImj/es9ln\nn7332eeEQJKT9/c860lysvfaa++drHet9+p1xPA/u6qX9pX39vFSKSLmCIzkuba01d5WjwzcQYQZ\n6r71I3j+DNcIeFMFfNkIWgI/BboC9wL5iKGuY2P4/QWwLcGYm5gq+iDQDHjAwu6NAMbQFJ4qh/wK\nWNjIveZtsWuAa4jsHPv+W0g66+JT+BwOAk2vMGbYGjjSAdruhf3bvEbI5MblcDblw4y+XqPytCOw\nbkSQgdNaKo2hALHgrk3//uylcLAjFCKOB+OAwvawLJbK/FPEMH3mRjiw3XuPYUb/beXw+7bynBYg\njg9ep4Pk5687Iob2oHOObIep/b3p76cCSxPuqwOwI+B+28Rd57ZS6H0l/LxZ9L16MYaO0DE3ePzB\nzg1xjhodoUMnmHUANnwf8h6suuOFUiuoaWlVky25C2DiZ3nHvSuyG62b2mNQZYIrppPsrNyNFA/a\nhk8phL9vAPsKjLvQ6zOft9O7Eo73YXciy4OzlKZrR/A/ByftQkHAmKuexiR4jMGqI//x9lmwt6TW\n57jYM7zodbjqC4krGGbd2IIhSXcD/j6DVG3xdoX41CMjS71qmKjCVWG5uYKM5l47Rxem2B9yjh1E\ny8pBnFUxmOZlI+Gv59Fys9tv31fTfUdgm4GdB/YLWPeUN6lluPooxFFjq+4gMqPV+ABq9OYD/7gn\nlgbHXIxcD32L4RorNgNHUDhpy8cfl2jY5tf60yjfaMWbKSjl841/ISDZnzvxjV4jJTiv/MYtcZpv\nYUoZdOia2j0lS38e5J2THxMU42yyTKrRKTvSN36Hvys7B+wv03uXienlr4u9q+sC3q+1YaqV9GIq\nHihOfJ/pCsaQc0JUmlFJAcOyx54IfkzI4vrYfLBFYF8G2yWd8Z+KAEhttafV+ABquvn/EcISyTn/\nsFdb/4o/PiPn+HK/p0uBFVfcoH/01FwHveMc8AJ8ugbsI/7jwv5hR70mK8ZUVrpD9wfrzP01GmLu\ntpvleVy7yisoqtPd1uaBfTv891F2H+f95FtxiU53tZ09UIy4g4/CVWVw4bt+d+sxhfCTMskQe7LC\nMSg9e/Tk7z0/sS7H9VayD5woFDXQv7CZXAn3zKraOEfvq6p9Q1vtbzU+gNrWkk1y8k9xmQ3P4umk\nL0/0dAlzG8yv8qoLbDuwO8GO9H5+44fB/7D3HgFbGpz+3DtRhnvjBFd/A/sn2LIDJq9zJ7dwSFLR\nXgAAG2xJREFUoRv8zMN3IPL7y1+DScdlsvQntEstx9L8WCuwMD5BGF5fHMtttARfivDm10q+qcSM\nqKP2iLprbEjW36iaEaGxGwPDUsOHC8VL3/D25zz/QisLGn/urPD3nFrlOf//SnJjv7a63Wp8ALWx\nhbsRjlslCQXDVqbjYt8nerqEVbW7JmkZzehx2n5g94PtBtaAvSe8TkO/JWCbwKR1wWOR6mnSfrg/\nWBg+GDgBwuYifzDfDceC1XlBK2BfQGShd4cSlIdoTKF3gg2r7Ja4s3B+Hvy1q+b7UVlCrYWEFOHj\ny0V9lczrKWwSH/L/CFRLJSs+FV7YKsnzOO4ds6NOdbK4Jh5/8TJRPQX9LUh69+i/vzBbV/XsJrXV\nrlbjA6hLTf45VloJ2JuS8E9xgxV7QrH1G8Pjf7Zxn1c9TsJdGV5XAlcfgxVrwa6Du/tVLYgsPzZJ\nh9X8kBWnX1DYhrAg5P7Co4Ld88N8/0etBTtT4h2S78rCJ9Bp1muziFcZyrNP3205sUUFXj5YDvYQ\n2L+A/R3Yh+D61eHCoN+S8MWFc60owRj/jMba4GsN2ptkZ7E94m/PWUwFCJvCWN+p22e01Y1Wz11n\n02VTPjw7GuZkw78AY4GmwNmIW2024gL53n2Q9xi0bwl7D8HGe2DGooT8Q1vh0zlVGYUxOQPh6lWw\nuHGcq20/uHWItTveS54jKshtdQEwG2jdWXJdJebCWgQUboVNQfmSzoXycshq6v04C/i0DEqaJbqH\nevNgndlX3E+zEs7NugTYAI2ahechclx0ey6Epzt7x/0IMGQ3zGoMpWfBdxvCg4jL8fQi99mHuf9W\nJo6H5C6kYS6yq/4TuANJHPYd+dru2+EuxwbJB5XsWl1byP0lkjjmT8sgK+T5NQfWT4YZCX9Ht1q4\nt9AYmljLscQrePOcPR4wztbA0beCc0opdZqallZ1rcWiu4tdLyHHjXVMWbLiMFXxiAkfQ9iK8IoD\nKd5DbvIay9Z63UF/WEpA1lPpZ+ybUhEtKF1772WJlfCSey3Fnztob+xek+yEogLf4tOdh7mpprqz\nGHzcr2KJT4WeukE/OqI8yGU5PsdTqmPuvwsGFgcf6+ysEr2hOg0G+wrY18A2C/gbjvvb06js+tRq\nfAB1sck/jZPqINjgemqvH6ZrnlQJtndqfSSbhKMngWhXVcfDKlFYRMW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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "1089 city tour with length 50802.6 in 17.126 secs for repeat_100_nn_tsp\n" - ] - } - ], - "source": [ - "plot_tsp(repeat_100_nn_tsp, USA_big_map)" - ] - }, - { - "cell_type": "code", - "execution_count": 78, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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HZ18xEXjX3u+KOij7kSMs9XvQepL32ztALbDwaLXvzNDhHaj99lD2/27AWGDt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\nz6t5umop3LETZvdONw5ZBL+7Xs3zmLZ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Kr2tkoh5C84dWrpWuoopQuTC+3zXzFCdi8YuZ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\nAVUbYUZuZDzIw8fg8kbI3gQLwtc2G/d9SPHYFk/9EiEZEGGRBERPnGb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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "1089 city tour with length 44234.6 in 23.149 secs for repeat_5_altered_nn_tsp\n" - ] - } - ], - "source": [ - "plot_tsp(repeat_5_altered_nn_tsp, USA_big_map)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Again we see that we do better by spending our run time budget on alteration rather than on repetition. This time we saved over 8,000 miles of travel in half a minute of computation!" + "I also found a [blog post](http://www.randalolson.com/2015/03/08/computing-the-optimal-road-trip-across-the-u-s/) by Randal S. Olson, who chose 50 landmarks across the USA and found a tour based on actual road-travel distances, not straight-line distance; I would need a new `distance` function to handle that. William Cook provides an\n", + "analysis, and a [tour that is shorter](http://www.math.uwaterloo.ca/tsp/usa50/index.html) than Randal's." ] }, { @@ -2785,113 +1195,67 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "At the start of the *Approximate Algorithms* section, we mentioned two ideas:\n", + "We've covered the Nearest Neighbor Algorithm and some variations; now it is time to develop the so-called Greedy Algorithm, which (naturally) is an instance of the **greedy strategy**, this time being greedy in adding the \n", + "shortest **links**, not nearest neighbors.\n", "\n", - "1. **Nearest Neighbor Algorithm:** Make the tour go from a city to its nearest neighbor. Repeat.\n", - "2. **Greedy Algorithm:** Find the shortest distance between any two cities and include that in the tour. Repeat.\n", + "> **Greedy Algorithm:** *Maintain a set of segments; intially each city defines its own 1-city segment. Find the shortest possible link that connects two endpoints of two different segments, and join those segments with that link. Repeat until we form a single segment that tours all the cities.*\n", "\n", - "It is time to develop the *greedy algorithm*, so-called because at every step it greedily adds to the tour the edge that is shortest (even if that is not best in terms of long-range planning). The nearest neighbor algorithm always extended the tour by adding on to the end. The greedy algorithm is different in that it doesn't have a notion of *end* of the tour; instead it keeps a *set* of partial segments. Here's a brief statement of the algorithm:\n", + "On each step of the algorithm, we want to *\"find the shortest possible link that connects two endpoints.\"* That seems like an expensive operation to do on each step. So we will add in some data structures to speed up the computation: \n", "\n", - "> **Greedy Algorithm:** *Maintain a set of segments; initially each city defines its own 1-city segment. Find the shortest possible edge that connects two endpoints of two different segments, and join those segments with that edge. Repeat until we form a segment that tours all the cities.*\n", - "\n", - "On each step of the algorithm, we want to \"find the shortest possible edge that connects two endpoints.\" That seems like an expensive operation to do on each step. So we will add in some data structures to enable us to speed up the computation. Here's a more detailed sketch of the algorithm:\n", - "\n", - "1. Pre-compute a list of **edges**, sorted by shortest edge first. An edge is a pair of cities; if the list contains `(A, B)` then it does not contain `(B, A)`, and it never contains `(A, A)`.\n", - "2. Maintain a dict that maps **endpoints** to **segments**, e.g. `{A: [A, B, C, D], D: [A, B, C, D]}`. Initially, each city is the endpoint of its own 1-city-long segment, but as we join segments together, some cities are no longer endpoints and are removed from the dict.\n", - "3. Go through the edges in shortest-first order. When you find an edge `(A, B)` such that both `A` and `B` are endpoints of different segments, then join the two segments together. Maintain the endpoints dict to reflect this new segment. Stop when you create\n", - "a segment that contains all the cities.\n", - "\n", - "\n", - "Let's consider an example: assume we have seven cities, labeled A through G. Suppose CG happens to be the shortest edge. We would add the edge to the partial tour, by joining the segment that contains C with the segment that contains G. In this case, the joining is easy, because each segment is one city long; we join them to form a segment two cities long. We then look at the next shortest edge and continue the process, joining segments as we go, as shown in the table below. Some edges cannot be used. For example, FD cannot be used, because by the time it becomes the shortest edge, D is already in the interior of a segment. Next, AE cannot be used, even though both A and E are endpoints, because it would make a loop out of ACGDE. Finally, note that sometimes we may have to reverse a segment. For example, EF can merge AGCDE and BF, but first we have to reverse BF to FB. \n", - "\n", - "\n", - "\n", - "
Shortest EdgeUsage of edgeResulting Segments\n", - "
—— A; B; C; D; E; F; G\n", - "
CGJoin C to GA; B; CG; D; E; F\n", - "
DEJoin D to EA; B; CG; DE; F\n", - "
ACJoin A to CGB; ACG; DE; F\n", - "
GDJoin ACG to DB; ACGDE; F\n", - "
FDDiscardB; ACGDE; F\n", - "
AEDiscardB; ACGDE; F\n", - "
BFJoin B to FBF; ACGDE\n", - "
CFDiscardBF; ACGDE\n", - "
EFJoin ACGDE to FBACGDEFB\n", - "
\n", + "1. Pre-compute a list of links, sorted by shortest link first. A link is a pair of cities: `(A, B)`.\n", + "2. Maintain a dict that maps **endpoints** to **segments**, e.g. `{A: [A, B, C], C: [A, B, C], D: [D]}` means that `A` and `C` are the endpoints of segment `[A, B, C]` and `D` is a 1-city segment. \n", + "3. Go through the links in shortest-first order. When you find a link like `(A, D)` such that `A` and `D` are endpoints of different segments, then join the two segments together. Update the endpoints dict to reflect this new segment: `{A: [D, A, B, C], D: [D, A, B, C]}`.\n", + "4. Stop when the newly created segment contains all the cities.\n", "\n", "Here is the code:\n" ] }, { "cell_type": "code", - "execution_count": 79, - "metadata": { - "collapsed": false - }, + "execution_count": 40, + "metadata": {}, "outputs": [], "source": [ "def greedy_tsp(cities):\n", - " \"\"\"Go through edges, shortest first. Use edge to join segments if possible.\"\"\"\n", - " endpoints = {c: [c] for c in cities} # A dict of {endpoint: segment}\n", - " for (A, B) in shortest_edges_first(cities):\n", + " \"\"\"Go through links, shortest first. Use link to join segments if possible.\"\"\"\n", + " endpoints = {C: [C] for C in cities} # A dict of {endpoint: segment}\n", + " for (A, B) in shortest_links_first(cities):\n", " if A in endpoints and B in endpoints and endpoints[A] != endpoints[B]:\n", " new_segment = join_endpoints(endpoints, A, B)\n", " if len(new_segment) == len(cities):\n", " return new_segment\n", " \n", - "# TO DO: functions: shortest_edges_first, join_endpoints" + "def shortest_links_first(cities):\n", + " \"Return all (A, B) links between cities, sorted shortest first.\"\n", + " return sorted(combinations(cities, 2), key=lambda link: distance(*link))\n", + " \n", + "# TO DO: function: join_endpoints" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ + "**Note:** The `endpoints` dict is serving two purposes. First, the keys of the dict are all the cities that are endpoints of some segment, making it possible to ask \"`A in endpoints`\" to see if city `A` is an endpoint. Second, the value of `endpoints[A]` is the segment that `A` is an endpoint of, making it possible to ask \"`endpoints[A] != endpoints[B]`\" to make sure that the two cities are endpoints of different segments, not of the same segment.\n", "\n", - "**Note:** The `endpoints` dict is serving two purposes. First, the keys of the dict are all the cities that are endpoints of some segments,\n", - "making it possible to ask \"`A in endpoints`\" to see if city `A` is an endpoint. Second, the values of the dict are all the segments, making it possible to ask \"`endpoints[A] != endpoints[B]`\" to make sure that the two cities are endpoints of different segments, not of the same segment.\n", - "\n", - "The `shortest_edges_first` function is easy: generate all `(A, B)` pairs of cities, and sort by the distance between the cities. (Note: I use the conditional `if id(A) < id(B)` so that I won't have both `(A, B)` and `(B, A)` in my list of edges, and I won't ever have `(A, A)`.)" + "For the `join_endpoints` function, I first make sure that A is the last element of one segment and B is the first element of the other, by reversing segments if necessary. Then I add the B segment on to the end of the A segment. Finally, I update the `endpoints` dict by deleting `A` and `B` and then adding the two endpoints of the new segment (which is `Asegment`). " ] }, { "cell_type": "code", - "execution_count": 80, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "def shortest_edges_first(cities):\n", - " \"Return all edges between distinct cities, sorted shortest first.\"\n", - " edges = [(A, B) for A in cities for B in cities \n", - " if id(A) < id(B)]\n", - " return sorted(edges, key=lambda edge: distance(*edge))" - ] - }, - { - "cell_type": "markdown", + "execution_count": 41, "metadata": {}, - "source": [ - "For the `join_endpoints` function, I first make sure that A is the last element of one segment and B is the first element of the other, by reversing segments if necessary. Then I add the B segment on to the end of the A segment. Finally, I update the `endpoints` dict. This is a bit tricky! My first thought was that A and B are no longer endpoints, because they have been joined together in the interior of the segment. However, that isn't always true. If A was the endpoint of a 1-city segment, then when you join it to B, A is still an endpoint. I could have had complicated logic to handle the case when A, B, or both, or neither were 1-city segments, but I decided on a different tactic: first unconditionally delete A and B from the endpoints dict, no matter what. Then add the two endpoints of the new segment (which is `Asegment`) to the endpoints dict. " - ] - }, - { - "cell_type": "code", - "execution_count": 81, - "metadata": { - "collapsed": false - }, "outputs": [], "source": [ "def join_endpoints(endpoints, A, B):\n", - " \"Join B's segment onto the end of A's and return the segment. Maintain endpoints dict.\"\n", - " Asegment, Bsegment = endpoints[A], endpoints[B]\n", - " if Asegment[-1] is not A: Asegment.reverse()\n", - " if Bsegment[0] is not B: Bsegment.reverse()\n", - " Asegment.extend(Bsegment)\n", - " del endpoints[A], endpoints[B] # A and B are no longer endpoints\n", - " endpoints[Asegment[0]] = endpoints[Asegment[-1]] = Asegment\n", - " return Asegment" + " \"Join segments [...,A] + [B,...] into one segment. Maintain `endpoints`.\"\n", + " Aseg, Bseg = endpoints[A], endpoints[B]\n", + " if Aseg[-1] is not A: Aseg.reverse()\n", + " if Bseg[0] is not B: Bseg.reverse()\n", + " Aseg += Bseg\n", + " del endpoints[A], endpoints[B] \n", + " endpoints[Aseg[0]] = endpoints[Aseg[-1]] = Aseg\n", + " return Aseg" ] }, { @@ -2903,233 +1267,231 @@ }, { "cell_type": "code", - "execution_count": 82, - "metadata": { - "collapsed": false - }, + "execution_count": 42, + "metadata": {}, "outputs": [ - { - "data": { - "image/png": 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n6UjBzKJykXgRTgFOB8b6tKl2bN0x+/T7RzsD9wAdgC1FWAqnN3GRXqWxritC\na9wI+Hhc3ebxwM3As6qsqeVpWgJlxbGwYCKKhqrGRGC0CO1U+dJD+5UQoRX8/I/w9WDof6TtjYov\nqRCLKtwH/FGEfVSZ5NuYXIiwGXTeIfv0e/KzqhvFrxGwFSx6HJpXWbZI17quCFsCR+LqVvcCngPu\nxBVn+rYep2wFrAzPwlCJfBkKQJXvRXgGGAjcHXX7WRgBPKv66//Cr//r2xgjNylwcFdG3br11cAV\nvm3JhQhbAS/D4OfyOWJVWa/KApg7K8mO/FyIsLkIQ0V4Gvgf8HPgX0AHVY5TZUw9hQLiP7OIXCwC\nHgOO9tT2RkToiRsYXOTbFiM/qcsNBRvrUc8Chqrymm97KhJEojwHjAKurG1p1xzO8ETmvHJLDxyB\n6yj2B14CHsbVDw9tJiDCX4GlqvwlrHOGhQjbA0+rsp2HtlsAC4HOqiyPuv3AhobAW8Ctqtznwwaj\nbqRxGQpV1okwArgc+JlnczYiwk9xa+/XqnK7+23G31ITmc1Vmz4JmzSDqW8kaV036KAOxwnEgcCr\nOIH4lSrfFKnZlhDb2uLeZhaqrBLhJdwsblRY561jtN4ZwCrg/rDaN4pLKsUiYCRwqQh9VHnVhwGV\nH54N6+CG3aDr71R5uD7nc4LBG8A7qvwjXGvDR4TmuA7pOKA/MAl4BPiNKisiMKEl8fVZrAA2E6GB\nKhs8tD8WtxQViljUJQxchA7AZUAfVSvzmxRSKxbB7OIqnO/igKjbz/7wnLMQHnmrwGX0tsCSMGws\nBiJsChyKE4gBwJs4gThVlWURmxNbB7cq60VYhbMxCuGsypPAzSI0K8AnVIGad2FXHjh17AqDH1Ld\nc0bh7RpRkToHdxVGAR1F6Bt909kenps7hJDMri3wVYHnCBURmoowUIQHgUW40OUXgW1VOViVez0I\nBcTbwQ1endytWsLvv4WT3wwnc0CuXdg79RA5o2cm2eeYA+CaznDboZatIFmkdmYBG0dvVwFXiNA3\n2ilv0VIYRCoWudahRWiCW1o6HjgMl27jEeA81WKn3a41sZ1ZBJSn/IjUr5KZ9V7RDpq3g9U7F564\nL9cu7BatoOUk+GvjygOnO7vC3FTuEUoraZ9ZADwItCfypaii5axqQ0RiUTn9+5gD3Otxk0U+eBQ3\ng7gIF9GyoyoHqHJnjIQCbGaRg2KkcM+VCv3ePvDxZMv9lHxSLxaqrIeNswuJruVpw+GCpWEmsxOh\nKdCUyDrY7k1XAAAQ4ElEQVTArEtp7eGmLsDOquynym2qLIrGntpRnpwRhneGftfEeLnDk1iEP+t1\nM5Jx/WDENzDkLej/QCase9GCNO4RKjVSvQxVgdEw93K4eIKINogmCV/ZZzBnBfxqKtAopBQGbYAl\n0S2n5epUyla6jYLxI0tgwTEwrEcxayMUkODRk1gUJ3FfsDw5Bzhblbcz/5PcZJ9GhhIRi1Yd4YTm\ncN/PIiyz2Re2+x4eOziMzt11SH3vgB03E3l1VDR7LFaXJS8baK4lllbPBRlXVwbHqjw/f1ub762+\nJVzd+07YFzY5SGRq72j3zBS18656w1C5AJPlfkoqJSIW3UfATVtFnITvDOCO8IQi2kpirpjQ7bvB\n+UvgxjbJGRHmmg39APA1zo/RGmgR/Nyyys/l/24ShLaWi0cOcTn+IPh7FnH6/FpgUDYLM9/nTeXf\nZ9coK8NlOu/NX4S1a2HaeyF23tXEorxNzJmdaEpELKItrhJsOuoHnBzOGaOtJCZCe2AidLsJRo+F\njxI0Isy1xPLhlLqk/QgSOLYgr6g0aZn93tr/OBEOwaXVWBC8Bj8feqzvynDBktFi4KKQU+JkFQsj\n+ZSIWOTqQBYXaznlVOAh1bAc0dGJnQhtgBeAf6tyU+BLT9CIMJwlliAwYgV5NsyJvLcLrO5S/d56\nYTRceTYuzfzWwWsH4CfQcceYRAdtC8wN+ZwmFimlRMQiWwfyxzVw9xbh7WB1BEkMTwUODuucUVUS\nC1KETwAeU+WaMM8dFdGvj+cWp2Aj4jJgWsV3iEzezC0l+vMFuRT5NIfQa1qYWKSUVGadzUYmYqW8\nA/n+SnhnOK5u80BVvginHX6BiwbpE8b53DmLn3E2yAT7Ai7B34WWs6f2VL+3ahanOGQQFmE33Oxx\nl5DP+xdguSrXhXlewz8lMrPI7mATYSjwB+AtEY5W5a0QmjoTuCOE82wkM1ruMhNmT4H5n4U5Wg4S\n/j0NTMGEos7U1Xkbk+igbYE5RTivzSxSSsmIRTaCTvEvIswAnhLhHFUerO/5RNgR2AFXXCZkysqA\ntYScqTNI/PcEMBs4y4QiGmIQHVQMfwU4sdi6COc1PJP6Hdy1QZUncHUvrhbhapF6X5fTgX8G1frC\nZjtgbshC0QQYg1u3PtVTqmzDD8UUC5tZpBATiwBVPgT2BPoAY0T67+iycR4zsTZZOYPiPoOhaHUm\nQl02CBzxDwHf4SoK/hDWuY1EsB0mFkYdKOllqKqoskSEfvDB/bDTVLi6cR125Q4BXlZlfpHM246Q\nxCIoaXk/0Bg4KggTNUoLm1kYdcJmFlVQZS2cvi4jFJAvK2eQoPAMQnZsVyGUkWCwxPZPXJ6pY4q0\nZGbEFJdkcf+H4E9tYZ/ripBk0cQipZhYZKXOm+D2AZoAE4toVMHLUIGo3QZ0w4ULrwnDMCMZZEJ2\nxx8PVzWA5wfDwBdCFgwTi5RiYpGVOteiOBOXByp0B3GFdNu7wYHn1ffBDoTiBmA34DDVah/QSD3F\nqGNRjVWYWKQS81lkJduu3PO/ypYyQoR2wCG4SKhQybJ56xcwbNd6JpwbgSsAdWB4aUiMKKlrKnQR\nmgE/BXq4Y7/DI0gzYjOLlGJikYXqm6bWrILb9oG7G2f585OBR1VrziFUP8JJICjCpcCRQF9Vlodv\np1Fs8qVCF6EtThR2ZaM40BmYgSt5+z7MfhNWH1TkNCMmFinFxCIHVTdNiXAG8KAIvcudwkFm0mHA\n4cWxovAEgiKcD/wa2F+VJWFaZ0RJroFDm9eDoIVN2SgKPANcC8ysGMAg8uKTMCxLmpFQU86bWKQU\nE4vacyduuekK4JLgd4cB81V5vzhNFpZAMBC43+GEIuyEcUak5Bo4fLMMN1j5PN+GzWjSjHRpDSe2\nFPloYjQVKY2oMLGoJaqoCCcD74uM/hBu/TnscwgsnCnyZJfiPBDZfCfnLqrNSFCEk4CLcUJRrL0f\nRgS4vT/b/jT7wGHGh6p8VttzFTPNSLBU9hxcKND8gIgqUhpRoap21OGAR4fCeetglYKqex0yF1p2\nKU57LbtAr1Fw1ET4xUSY8wlo45rfo4NAF4Bu7/t62VHId697gE4AnQ1Pn+nus2juu/rZ22tUxj6t\nYGevUb5ts6Pww2YWdebG/jChUVRVzrL4Tp4GzsKFwVZDhKOBG4H+qswO2x6j+IjwY1z0Wm/csue/\nVQ9dJ3LC0/GuY92xU0yKOhlFwMSizkRbojUL5wOTRBilyuKK/yHCoTjfygDVygV3jHiRLQwWytYD\nf8ZFrv0Vl7NrY2GuGGSqzYkIXaHbLlEU6TL8YJvy6kydN+yFiiqzgPtwI8+NuHVt/gMcocrUKGwx\n6kcmDHbCYBhzgHsdMhU++QhYCmyvyvUaYgXHYiJCH2ASDLjBRVeVPx9FibYyPFEylfLCIiZVzjaH\nT2bDue/AJk1hwzq4oSd0PVKV16Kwwag/bkf+hCxlVY98THXCMb7sqg9B0Mc1wBBVJtS1aqCRHGwZ\nqo7Eo8pZq81hkMLoQzKCdc5CeGQ+tjk7AeRaymy5hQ9r6kOQufh6XNhun2DGG+ulMqMwTCzqgf8H\novsIuLFtZSf7zR1gelGc7EbYFLZ/xjdBvfbRQFNgb1WWeTbJiADzWSQS7052oyCmDU/q2r4I2wCT\ngc9xgRQmFCWCzSwSSbJHpqVOZimzzevwzdcw46MkrO2LsB/wCHA1cLuq1WsvJczBnUDi4GQ3CkeE\nscBIVR7zbUs+RDgR56MYosrzns0xPGAziwQSDye7EQLrifkzGDiyrwWOwjmyZ3o2yfBErG9UIzf+\nnexGCMRaLERoCTwItMA5sr/2bJLhEXNwG4Y/YisWInTBObIXAgeZUBgmFobhj/VAQ99GVEWEfYA3\ngHuAYaqs82ySEQNiOaoxjBIhdjMLEYbi8lL9WpVnfdtjxIdY3aiGUWLERiwCR/Y1wDG4GigzPJtk\nxIxY3KiGUaLEQixEaAE8AGwG7JXLP5EtU65F4JUO3m9UwyhhfiDiZ7B6h9/3TrjmDuBt4FitULO7\n+vuq7e2xKnglhDm4DcMfkc4ssqdGX/MyvDYOODWXUDi6j8gIBWSKfnUfkfs9RpqwmYVh+CPiZahs\nHf5VjeDEfWC/QS71PVtAtte+O1o+stLGxMIwPOBG+Sf8HDZpJjJ1p2jW/3MloOzSA5dqfAWwHFgC\nzK7w7+Xw3p9g9UDLR1a6mFgYBtE6bzPLQTeVr/93jWb9P1cCyknPqNacDUBk8rlw7l7w93aV85HF\nP1OuEQ6WSNAoeWpKzAhln+EGVZsEr7mOmv6/yv/98hy4Z9/qnXb/B1QnFy2FS6EJKEXe+QfctQcs\nW275yEoPm1kYRk7nbbdPAMH5FsqPdVX+XfWo6f+D/2u3vY/1/8ITUPb8KfzzXFVeKaadRjwxsTAS\nT+FLSLnW8j96GfhZ2HUbRN4cBauz1OAu/vp/fRNQirApsDMwJWybjGRgYmHEirp2/OHE/zfbNPta\n/qKFxSnwM204DNu7+nJQrNf/ewLTVfnWtyGGH0wsjNhQ245fhGZAO3ccem32JaR5tapHLkJnuGJ7\nOGs+3Nopis47ofVIegOTfBth+MPEwogRuXwHW74swudsFAgaA4uAL6HjtvVd/xehAfAv6Ho9/Pdh\nmBlZ553AeiT7AKN8G2H4w8TCiBG5fAeNWwL/At7EiURZ+fKQyORC1v/PAJoBf1Mt+4Fkdd6RIYLg\nZhZn+LbF8Iel+zBiRPk+gIqsBr5fiSvt+TxwK3CSCNu6TmzacLdktLrC3+dfQhJhO+DPwFBVfgj3\nc6SO7YDVqnzh2xDDH7bPwogNtdjvsB2wP9A3eAV4BSZOg7/uDZ22gxat4J/71uwUpyHwGjBalVuL\n+ZnSgAi/wVXLG+TbFsMfJhZGrMhEQ9XsOwiWRrqSEY6+uBTbrYARuNrRM7NFM4nwB2AA0E+VDUX6\nKKlBhHuAD1S5zbcthj9MLIxUEIhHF2AmzgH+Kc4f8SrwCvAyMB3YEXgJ2EOVT6O3NHmIMB0Yosp7\nvm0x/GE+CyMVqKKq/A/oA8zBzTr2AJ4AegCPA8uAj4CFwGZBNJRRAyJsCXQCPvRti+EXe1iMtPE2\nLq3Gvqp8rspIVX6ryrbAo8HfvAU8AiwV4XERzhNht8CXYVSmF/C2Kut9G2L4xUJnjVShiorwL+Ak\nnBMbABF2B44AtlZlYfC79riZSF/gFKC9CK/jlq1eAaZaJ0lvYLJvIwz/mM/CSB0ibAXMAjqpslKE\npsC7wAhVRud5Xx+cw3x/3PLLZDLi8a4q64ptfxzIBBrs+3P433vw3Mkx32FuFBkTCyOViDAWeEqV\ne0W4HtgGOK4uuZ5EaE1l8egKvEHGYf5OzaVIk0mhqcyNdGJiYaQSkcdPhsnXwuL50OknsHBf1X8V\nFM0TOHv3IyMe2+P8Hy/jBORtVdYWaLp3RHqPcvW5o623YcQb81kYqcONjI+8BO5sA83bBCPjRwqt\nRKfKMmBccBDUrN4XJxw3AjuI8A4Z8XhTlTUFfRgv5Eq7YvW2SxkTCyOFdB8Bd9Y7E21tUWUF8FRw\nIEIrXMK9vsB1QHcR3iXj83gjGSm+c5VftXrbpYyFzhopxM/IWJUyVZ5R5SJV9sZlyL0aNyi7EvhK\nhNdFuFqEg0RoUUx76k+2fFsXr4p5vQ2jyNjMwkgh8RgZq7IKl/zweQARmuP2LewPDAd2E+EjMg7z\nSaqsjNLGbFSvt7F0MdzbA249EJf91yhBzMFtpI6kRPMEpUr3JuMw3wOXkqRcPF5X5RtvBlZAhB1x\ndu2nykzf9hjRY2JhpJLaJiSME8F+kD3JJEbcE5hNxmH+mirLPdp3Kq6mxd7JdNwbhWBiYRgxRYTG\nuNlGuXjsDcwj4zB/VZWvI7RHcClTFqhyTlTtGvHAxMIwEoIImwC7k0nL3hv4jMri8VWRbdgCmAqc\npcqTxWzLiBcmFoaRUERoBOxKRjz2BRaQ8Xm8osriIrS7DzAG2F2VBWGf34gnJhaGkRKCrLk9yDjM\n9wO+IuPzeKU8iWIIbf0JOADob2VpSwMTC8NIKYF47ExGPPoAy6ksHvMLOPeLwARVrg7FYCPWmFgY\nRokQFHvaiYx47A+sJOPzeKUu1QNF6IjL5nuUqqUxTzsmFoZRogTRTT8hE221P7CGjHi8DPyvpky9\nIgwE/g7sGqQ/MVKKiYVhGMBG8diejHDsD2ygsnjMrSoeItwGtAWOr0sKeCNZmFgYhpGVQDy6kRGP\nvkBDKkRb4YpMNYE5U+Gqb2D1ty7dSvw3QRp1w8TCMIxaEYjHNmRmHX2BpvDRFLhrP7h+szinVzEK\nw8TCMIx6I0JnGPIg3N3biiWlG0tRbhhGvVHlM/hurRVLSj8mFoZhFEh5SviKWLGktGFiYRhGgWQr\nljRsnhVLShfmszAMo2CSmBLeqBsmFoZhGEZebBnKMAzDyIuJhWEYhpEXEwvDMAwjLyYWhmEYRl5M\nLAzDMIy8mFgYhmEYeTGxMAzDMPJiYmEYhmHkxcTCMAzDyIuJhWEYhpEXEwvDMAwjLyYWhmEYRl5M\nLAzDMIy8mFgYhmEYeTGxMAzDMPJiYmEYhmHkxcTCMAzDyIuJhWEYhpEXEwvDMAwjLyYWhmEYRl5M\nLAzDMIy8mFgYhmEYeTGxMAzDMPJiYmEYhmHkxcTCMAzDyIuJhWEYhpEXEwvDMAwjLyYWhmEYRl5M\nLAzDMIy8mFgYhmEYeTGxMAzDMPJiYmEYhmHkxcTCMAzDyIuJhWEYhpEXEwvDMAwjLyYWhmEYRl7+\nH76Nk+B8wxPEAAAAAElFTkSuQmCC\n", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, { "name": "stdout", "output_type": "stream", "text": [ - "80 city tour with length 16087.5 in 0.006 secs for greedy_tsp\n" + "greedy: 80 cities ⇒ tour length 16088 (in 0.002 sec)\n" ] + }, + { + "data": { + "image/png": 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\n", 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yDoB5g7kXzOYTrVvP6FFh9ddhnkGdkKT+gV914TeG1uyG2YZ8TzbVzJjnoLzb\ntFl70v5hv9/OqYL8BaQoxlreC7I4xn0lIKvjvj/emuo+Jr5qO/TOPSMtEb0a8ejgrHhZYu0wmQiX\nPQI4DlMAV//cfE+9kWg4e8GEeHsWGQYJ0wJxSgrYkHrpr83Pu/NyBbM4qHFVNCvJ0J/LTcedTHoB\npnTAFVvSDEebsgf552GS69zGqxtyorecA2DeYIc37oGgO1vPB76AfApkJ9xWlCk3pTbq8DazUdTt\nCXTl78PeYUbq5s2ahPuzG/aSZS1VTed7GnRftHrpB6PgjjaoejzcS0w+CNIGclI2xvtM5lHdb1PN\nLHaNvSfKy5r6CEs1Ygumm7oJ5TL9OtQfMt+jnQoOG4NdDiOFDTBoVxQhyv5s+VVDbsIYnZHBO19a\nAjKpmWo6ORyw6lZTlQv8SsxxEvoMTBG4WZwYi3sERojykOr5OTleW84BMG+wW3fD9Y97DXqFDTDK\nl0XSnEAw2bvkfSCvgEzMrp+CfjCiM8jRiO9QRLmnRgVPJee21XN+I6xWsSRJNRJtnA2+N8n90gTy\niaRG8qTzmPB+l3G0+GfZItdwycLELduM+te+i0p3fqFdhaqZlCViDkKc3K3e6Y9dGvR8tlJdcLxa\nInCfBbu6yDxfzaKQv1USazJLS9da7vdHbruD/eoFSsQhGCdW6o6M1jLXAJg3mNwJ8u/e76LzDGX4\nrq+CNJBhRLcDW1iUqXtTFjWFZW21c6/VrweDvEy664Cx8O9VEKBNTZEkieHoriTIMjnCll+DVEe7\n35qCyfy5pTKpZRHmgTTmCbhpG8zssN8TNzuuSYc/aos5m/LQyJoX8fafDTHX+ZBroyhX5J5RTSnY\najc6qTGiUpj419af5mOFwBjDuoootZJpnLa040t8//uJxmJRUkcyVeOJ2nIOgHmDyUCQl7zfZc9t\nGt4zCGQbyBnZwRvmC+4WdyeJT29uyNpqS1o2ot38vTsoy48w5nVCUwcsetd8WMZ0RhtA3e+q2JkM\nASdF2FIP8jX7+z1Ed1m4uszWx2ceivbMMdVN189XNvtSgsSK/fESNVM+KKvzQ1McO4nTh60csA1h\njvIFD7orUIarK+Ofj8cWwYgOR3ryE6dg2vVwo/2Vj9vnyjROG6G8x/B/rWvMI13wvXdtFYfXMdcA\nWJDGKSB7QE53vovPbcZ8Rx9Uzd3R2cNrg+2GAzD+9fBUA34D/sDN5nTIFU+HIV47crzq52HeQObx\nFPTz+rYTc+VfAAAgAElEQVRrGHrOm8uyJiNA/qDev8DnCOBPGTJvi8ohZe7fjGwmtsLs2Dmx7PAv\n2gXynGqLIvX+cdRx9lQ2ZYYo4ijVX2EDjNnrJRqllojyoneU2+h4gVKBQQJzJUhsMlfDqHn69WRn\nHM2iYBvTac/aa5v7Qc3wh1ctQYXFwdTzzenxjD/ovd/k9abPY3t6Puamfxv6fK5x4rHQTuYYvETo\nSqUaX4Av/iaVOnAQtm2FvXugA+jturMD6JX+7t7zYOPSVKpvPVy0FM46Wz23rl6ktVk/kUr17ad+\nLyyBQ/vhf16G1iwh3rbVDNtZLfCtT4jQnUqNWQkX9Pc+1xvo9n0e+lF4YxMUPwD/eAa0nwVnvg2H\nPgXrgQt872jZqv4/62zv+3V/p50Bj90EMweqOeqdfm7mRlhfZx5P6z/Dhq1w7VNwxlnqHevq1W8z\nLw72o3/zX+vqze+13c9fgEuh9Vx4fROUPQunlcKAD8Nc4BzXuFu3Q8EZ5jGfebbImuZUqm8pbFwK\nZ56txnCoN6yscJ5x9g0wIQiObU63vQHMUp+3fRd6n2aCwfl80VJnDmzvbdoD3wa+iDNXdwE7d8DT\nNfDaN+GMImgH3l3rfpuzp886Gy7aCuv+Dc6+FDrOgTuBc4F7ToI7gK/4+j/zA3ATal/p79qALwGL\ngS8AX8XZZ/bLC8e29J75+kWw5QL42yR4cy0Ur4X+H9B7yn02vX2cORy+AUzGWffeQMk58MAeuG8k\nvDzTWVvVVyrVdzhMewR+VAC7UHP6FWDXSbAQ2AYcSo/1VuBfUHvrdOAWFD4ZB/wj8CFgEVD2D1Fj\nf09cuaZWdu5oxi4vJ2AqQOLnNqdtDpZS9OtAezZdiL3f+fug+F+iOSWTa7Di+g2wWosNRXHxyTyn\n5CGQmfaxxvcYc+4ft0F5i41eY3tO3Vu/FxbtgYnPRLkIJ3UGgCkvhUlnQXjiuK3GuSdO2V231OaO\nfRi4WSVKNFdYNM+P5q796hebiskU+Frv+t6srow+A+OblTSXRCoKy8XkHlOceCJ3apVmgRtc468Q\ns3qvKv3XPf6RL+QaJx4LLecAJDukurShzSf+unfDEWbyQLb4MOsNOv2vqjj8jMujD4If+bsPRlj0\nqKnehKn/aduSeUwVLYPxTyuEPfAT2c+F25A/eVO4GibKXdcUbFfQDya9YVZH+Pua2wGzYlWeiwNT\n+D1zDsIVv1PjL/4Z1GyIeq89+niFQHX686o0khsryivoguXmPa319mEBrWHfL3E1u7oy3pk1Rbzb\nUr+EMVT+85E0s8IC8ToQ2Gw4i9P3TReXvaYp6l3vhXZMqqEc8X8T8BOUqqYX8IEzRP4wSImqH3wM\nTj9P3d8B3NwNXe+3qSW8/dp+z/xSIjA/BH4JXCFCY/B3v1pk3b2w8f/BkP5wCo6qpQOlbtCwuufh\nfX8Pj93kF9+D/R/aD9/8DPxQomBX8zn6Ma+6qPl3qVTfUv97MutrRhUsOjVcDWNX1YismYBLTZRK\n9e2XSl25DMrOhjc3waIPwLaXHHWZqa+v/D2UPgQzPxlXLWZZM4/qJHjPW3vg49fAH4c777gTmN0O\n/7eP/72O2uV9F6rvf4JS/fQGVqNUMb8GlgM/AD6D2is3AF8eBgc2eM/KO8BaHBWtWz3q/4zrPvdn\nt2o0TF3pvj56jvls9TJ8d9WHYVENzBzo3WO287kBNQ/u86HUYibVl9OfWz28CaVa+0Z6fOsxz8Wf\n0jB/Cvg34EVAPpJKXdMJfTpgxypYX5f0XJwQV66plZ1LsYf1Oxzd5Y/C2G5HygivhXtkJQv5BCrd\n+dBkz9mMydorKty9MAKm21QitkH3ZZZ2PZMStHHUbbrZgq/M9zjzpaOPtapmhCflRnSdjOzTWCQf\n/xUP+N/rlUqa0xyt5nh1TIEOQhsvXuPw+PT9gw85Z8X2V8PTKIbcWt3BwNdpotJ2B9OFEEi3clEZ\nyN1Qvy++ZOH1aoueu1KjKiva3Xn0GvWsVi/552KS71zNFSVR6HmuFrhezC7N7z3vqJwDYD5wBf2C\nXg3GzeULWGo2LKzHZlEM1+0z6X6zg1f+EWQjyJQMnr0KXt8AV1oQSebF4OG0/sE8OCa3zp4rQRse\nCR26ljFtLiUt0YyE7isY5Jb9vgyPp4hHqPTzfjfpZlFqJo1Q9T51B+35xz36EJS2B20UeuxzBIra\nXK6paUQ6arU6YytEeUONE1VV7opdFiLRDy77E4xKw7jAhXB//Xu4e3AQcc/uirYzOvXEo5F/3Jxf\npV3BvfFpAzFrFCjqhJE71BwvcM3fAokIAHzPxV3kHAD7wRy9Jqoqnrm+QbNAyf54JUarW7EkgYsP\np5wKsgae+c+4gVm+538Dcov5t4J+9roIOm1F9hKD/b5pr5COQYmDKMP7MnOH3rGG2Sz0b+78QOZx\ncTiA084RqnvsVfLMaxEnniLM3uZ/vvZAsMRnsyiuvkKUz3+dwOj0b7Zxj0jHv0Snz0i6N5yxm4oG\nTdcIt8m5TxcfGtEJY9Y6iD4q95Z7rcsfgdtb7XEweg+WvxCfMRm01/vuVaKkjcouGHEwOH/XibMG\n/owM5jk90VvOAbAfTlvdW4c7DEoW+r7BB+If4myCjaQXyP3wygOZJekbt0aJ7yUXhM+D34PFlLoh\nc4nBjAgnb4K/3AfyDry4zGKgNkSgm/qavs3GHZrnJYyD1Bx3+LjsMSEqn1UUMQnCFpfwFvSDmbuC\nc2ULtvSraRoFqtu9z09Kf28jBtrrJzp9hmtvPJ49YdEeQxX7nWBDa/bc4uCe9Xs66T006vfKIy6K\n2ZvcHR27pNtiUaq7KwUGClwhzrPl4p2/ZoEJvr0xRWC+ZJI88kRpOQfAjiRth73QRSwKioOpCSaJ\nEq39h7jnVC1On/JVkFVJcgbF8/pxexGN2uJNcTJNoCQ0mjv6kMcp6HS4BO0ZSsKILy14+6r8A6x8\nS81RPKkrOA/uZHpalx8+Lvt639WtCPRcSRKpbO/v+j954a19Ro239NdetaLt+bHd3jksO2Qe21BR\nnK4pUaXO2RUviyzIp+wFjoKeT+EBsYvTcInYVTaXuuC7RxQiNnHrpjKmUW7S/j2o03P479OEQGdV\nGCtK9bZKVDBinTjzZxvHYSmoK1uNxPHYcg6AHWG4XQndqignJ466r/h5b/lJc+KvbCQLs8++TAd5\nDeT0JIQomZqiul0RB790NfztOO9TcIa7rCZbC38Lt0M4MMxtjwtDeNyAfs8qcdJc63smtqk5jKod\nMug++OyzCqmYuNykMRdz9wWjiScHJBS7HWWab38vNMyzCIw5FITXH29RtCytnmwK2iiqVqpo/ud+\nALID/vh5qDGoloL51rxjd8eAVAhc5TpzNsmnwkcArRKQRVOg4Tf1rcep1VyrxJxu3A2jJhoV4sRV\n6BiM+QKVlnEs8cCUaxx51HFyrgGwI6hoj6jwQ2xCWvP2JkWcZuQ19S3YuAPk/AgYmoIHz7bpxx8w\n91HnQyaNAoM644xZve/JL8Ds17Px/snUwynJ+oTfv0JUhTT3GlQ0Q8lyuHMfXP4QzDH87laJ6Bw/\no9cog6+J+zQnVnT2wS27g/tnyB/Cxucg8dFrlEToJ/7zxMth2xCpyasovGKbee/OboVpn1a/29PW\nexkknfHZdB5nuOC3we7PKWYy1Fe3KsbPdDb03g2b5z5jnT3i9hi7VRyJxr1nl4hiMGvTn90Bi1WW\ncdzjgSnXOPKo4+RcAxC+0eN4RIUbHp1NX70a6vbDpx9Igjjtm7TiUeeeT38c6ny5Z7ycX3R/pRZp\nQbtMuvu9cldwzLPeNdsB5Lcg12e/FibnABPCzU79p6rrue/TiMVfSrPPWKXiWvQu1rxbutxpmaEi\nm98rR0TlUwpDvn99Am54Ip56SXs/+efNVJPFjYRM9qiaziCswTmM9rbyrlFITrO/mKOxL30rHIna\nvBFNUl6jKNui2zPRvqfMLtOqpKpqE7rgWwJDxFwmYLF4c0BpyWKkOARmoet//ziC9pVc48ijjpNz\nDUA4krIVfgkckmIo3QnV+3GV2ozrwRIOg+1Aub2Rxq+C3z7N4ayXfp1yHOIW1wDaLioFhEYM81ph\nyHaY2Q7TXvYSJnkfSCvIP9jHF9fLyW2HKGxQ0cO1fp/9BN5Bfs67aiWU/AJu2RmtsjAhVLcB0hvl\nG08yapfwxIpFy2BxFwz9VVzJ1v5bpQ/Oxa7fJhxQhNBtPwpH+vZ9FU5k7PCNtki5FZYiS274p4tC\ntFUHVRyUzenBRhjsXnNmI/mEDQ4RGyJeJO+BXRxCoW0W1QKF+4MSyZhOuGR5WqJa7cRqZIZDTpSW\ncwBCgYuhwgg3GGfvAWXuo1Fgkk+SqOuCur0xiVvAmGwex/i95sM+arXTj9/zZsZOp7/KP5hcEMPn\nTtdHtpVT9QeS1QuM6YYr37b750/bZl4f0/tr93h16UlTTruluigOenEApnhzFC/fWHSmZA1nlfjS\njzcR6WEW8EazSFdG9VVIWvsJG1RtbBPcoy1G8SJLhUgntXdwz9veUdUGFV3pAkxNimEsbFB7q9zi\nfntNmoiNlWBaj3ZRqr6rRRGMIQJFAlNF26hszh1h5zXXuDEn+DjXAIQj6ji5ecI4u54og7n6q7DA\nx0GXWdRjV72ZDXFS4715HczaGE+NYBt71XOZxQSEBzWGv7NcbEGO8PS3YPra+EFVlyx3HU6D0TOq\nmI0fUWn7l9/2o/Ns6foSphoXdocE77olCRpzRzCXS5AhCBIxwzuKw5Pu6TY21E5nZlySOGGEEZfF\nAoWbFcIfuBmG7lBuvpcsh8s220sQawnLVFLZNM4R3Y5koSPeK8WxP7htFpmdzXyTY5tYOJt5cSfc\nuMpM9cN0xtlJFiB1IBtg7e9g4TYY87hjrDS9M1ntAfNYJz4L899S73FnG71VlLvn2MM1AOxjr411\nMILPRx+ocC79Hs/9DuJZuBOq/xR/7cZ0OlzzMIO9wWbLcquVRrkryRUb0lwcSOu7IySHUBhD19Xc\ntx/R+b2f/OMwzWeYJOF/dvB25TxR0mKS/OLDHUa0bF5M94hyT3Uj+UZxUor4v/fbBcrE8XBsT//f\nLN5xtotyfZ0ksCz9jJvoNPv6z+xs5pscL8TiznYVwGYiFvZ4jLTbZmS6C++79GGc9Cxs2AzydZBG\nkA8694VJM5mJrJYDGsJd2QyH7QKfbbURUO87/eOwuT56osVDEMOSw+/JTiqsFyhzZYgNVFOL4Kr9\nBM72nikvQsVLYfEW4TAakbhPMtHS4vVtZhWKX0dvkg4qd6u1jkqdIeKVSiZJEl27glVHtY/cqaQC\nvfZhKrpGMbsi+1N9u5G4//sqw1iWuMaxSrxGav1bnSgnkOtFqZmKBG4UL3HQ6tLP7lUSzijrmPIt\nBEflGoBQ4GIhHHukN8jn4G8vKt/6cORtfteMnbBxO0i/pHAlH2tcI6z7gA2wqAWiDaLOOKZtde41\nBSM1CtS6qtY1ClR3mxGDI1nEtzfVdAb7apboXFIaQUcbIO3SwaQ3YVKX+f3aCBwG4+wmeGiGiquw\nSSYF/WDWazClyQxnn7EcTsw3qDM8oCzKk6pdHNWaTfLwu8W67SL2qHbzM+41XiVwrXi9m9yIXcOw\nxPXX/b1pvd17vUK8hKZClKpplagYiWZR0netqFQdIwVK2/DGnGR8PvPtmE1Rrq84FcbO/QDMx0k9\n3Av1ectQuOs6SJWJrFqV2bv+7XQYv1zkwebg/a+thZvPgZ1tsPNJ2Jhl2mJbeuZuy+feqIpjD5b6\nU2ir3+NUtGvdBK/thGkbYP9BeGMPNF0KPzjHeW5+OzT0cWD7e4CUqiZ2CSpd9lTgv9J/9XvKfhyV\nDl6l9770UfhqhVq3XjhVy06JfJb0HlBpqqcutaURt1cyfO0ArDjZu+beynDhMB7ogMfvgu98JLhH\n2+5NpT67EEY/CF93rcO0Nnh7LbS/oVLUV/wE7u2vfl8PfOUQfO8kb3rzz6X7/SJqn9/teldX+v/1\nwLw2OKNFwV7wPnNlxj79VQr5O8+D+1EV8nqPgnefgovOgfF4z1L9OdD4TbjIv58Gwo7tzrgHpftK\npZ+93zVPOk25O216NxxGPx3AMx3Q0dvp/+708xruk1BV8/Q8fQuVkn05cCD9nv/jW9+ynSJrziV/\n9cyVa2oV1uJVGAvjyONz/NnlUeqJzLWZSBa6GJRN/VG0DGa8Cnfs0YFY3ndKOcjLIL1czxXjSUE9\n0pesza0LvkfgNheXV9rOYbflJMGSmcVwxJ9b25rZbE9ee0RmHk+3t8KSrrA5sHvaVYgT4a2L8Ojf\nl/j7ajLHkVjnsMmsv7++W7ke+79fKDDUFu/kU0maHCT8hmmTzaK6Ha7Zp8ZdIWZ13SjX/1e59uB4\nscPtzfaQb1ni41wDEH7I7RGm4Qc5XgBNPIOhKd+S0bPGKN7HH2tSm4WpzKzN/VO+APIiSF/Xdyl4\ndS3c+KQ3F1VYqo1mUQZLMTRvVTU1ntqN8eCL4+lTuzGZ/cekZonv9RMDxn7OfjATBOUQYZorreIK\nc1BoFkfXrjOfahuAdz7tMJhiFkavMTsyaNWOqZ/RB81wmnI5jU3v0yXpv8VtiuEYuBmGuLyhBlhi\nGMYJTBRvn5PEMXJPFuX2qonSrWnYzWcy1zjsRGo5ByD8wJvSIpty1xw+yLvjphOOh5yDKcyVd46J\nixn0fPYBgEZPE1cg3ICGJIFaTr+SAvm/II+DvF9998B0mL/fC+84QxoMd2TtdLEn8dMSz8gdznt/\newt8bmu8TLNVPiTsnosFW+C/fxiHECeR/Mz3TmoPizNJ8r4o6SrceD5dVHyAp98uFQyp8z/peubF\nzwdT+Ys4uno/gTS5HjcLVFqC7q52xVdoiXKxkA6Adb0jFsPlzJ2NGZwqyuBd0QWDuhSBqBWn5oTe\nizqXU75A0dFoOQfAfgjjc33Rz/i5/gENitMx3Xv1obDiSHZvIHu+pqQShx2Byt+BXAFSB5/bEca1\nBvuUXiA/B2kAOQVu3x2O9N3t2nehqM3h4EzEUh/0qztd77wfZFr4OOPEg9xWFEynMnkTfL8cpBTk\nelRix0XK8ygeEfXOdeVKuPxBVbAnmFIi3nrFqaESFdCn59KW+fQKQzr8mkPBWu5mzlq90+Z6XGg4\nE43p78d2OjUsbOOJl3HBgcPmOLDEAI9Wv7ldYfUaXSVQI0oVOkFUDq73XlbYI91yDoAVsFhpNkx6\neu3Kt0CUWD3qIFz8pCOlaL1qWMF292e/2st2IG7sMn9/w2swsSkKIQbH4L7/lt2w/hmQdpCXQL6r\nUozER4qq7wvPV5z+4i4Y3WWODjeN/9b09+4De5UolYHWL2vJb+AONYarfg71B+Ga++1jtRH3metB\n/gfkQZA/we3vmO9b9DbIH0F+DfIjkG+ogMZk+8YLj7sk6WGCcSBT5BPlSq1+L2kJSgU2N2Z3nQX3\nXLhTiGgVlE2aumB5MOeYjgh37z1TGVaTR5ZmiKJzuUWvfb2oeKLPtKvMAPo3t+rMLd0MkZ60b+Vb\nyF7ONQBWwKzGP7+rYyAitRjK27xiqZtL05suLGWE+Focg7pN4hgRq/ZEdP9jHsNjc/ATlUaBYe2O\naiIsTYfu03Tw3Womfc8C8Zb3lPR30yRYa+OS5fHVQDaGYOZrIJNBKkBKYMKz5vv8zgdyCtzyqnnf\nlLd5YVXqTK9Bf1CnUoFEZzs+MntdI8ElohgdExIssVROdKcQaRZ3UKL3bGhDuJZexhwO8nT2SVj0\nvOmMaEIYf968a+8e95XdMLIzWNK02dD3QlFqqOi9kW89sE9zDYAVMCNys6XZ8Adg+UV4v5+39ske\nL17OONoLJ0S1YDDKhnnc2NRFSWpj6INdthomRKR1COPk9P81ncqQ6Nd/6znTSeI0svETi1FbktlS\n4npM2e67eodCaMNWQ8n90Phn+OvKoCRX3Gb20hm8Fmr9zIfAp9N7Y4jATRLHYJqdqrGwAcq2GFKt\ndAXjMmzz6/aSC6ZaT8r5h+/FgEfWMnv9mSE77FKc3kduIlCXhn+x4bdGUbEcbonWxvTlJYuebjkH\nIBS4gAgfjXjVpvWL8O4NZUo0NllUrhobwo+XWCyZx421Wp2FmwtDVO53BAyQ/Zx5Mc3dmHejjeYa\nETWm56mkRRW5H9jheL7UC1y/DW5+Nz6x+8EolYAxznzbpCLNYTYKzHoHzjo36P57xS7zuK7pNn9f\n4fp/kqh6GtqJwWaMT2JUH9AQ1NcPP2hZ9ybvfoqTQiSYisRu2DavTXBfuWFK4pFVH7GmbsZulcAY\n8dZZdxMfbeB2ExGTu24+jccRwce5BiARsDEQr+LS/JKFe0PdKuY+3C6fRcvgjk647sFsN118I67b\n3pIsh42XqzM/a5+7xZ0gFXZY/SlGopLzDd0ZtUYO3PJbeOKuMJ2+d36KljkV0UyRzO1iiWoXs32m\nvDv4nYhTEEc/r5PR+Qsw+efWj9gGNPjGkFYDmdJoa0Tu58yDsQLRc2ErjZqMC1fvmfqWd8zjm71e\neXGM9WHMUXmLM+5yceIsjCotl6TlZoou26zO/Xs7K+yRbjkHIBGwng2pda5jfTrXAQ1KPeLnNkYL\nDO6AykjOV71n0S6ofa4nNp9zuOu7bAbfONKBvX/9rB0ZmA9zdStUvAz1e+G+asf4OagTKvZD4Vtp\n54AuKN3lTkRndyEeGsuFGOQzIFtA3pdsLqNUIyUt4dyw+7tCiz2pyvedjnMw3Vv3JtzeZibUNZ1e\nZKpjCsYb4L9HlARTLsGCQEmcIW7eHm289++BMEbkme+YMgbb4TEZ673ny7x3b02Pe7446k6Pk8FB\nlRrFnZ5Gz3G8BIn5ll3LOQCJAbaK8ZrLG71GbdIFojxEatMbcU4aYYSreZKoFJLDLs+DXGH+LXk6\ndYcIjV6jENEcw/NOH879pmCoaQeharuXyDaK0psbuWnbPDZFeQCl5+J3ILOSz2FUxH65xQA8Zq93\nXKXtMGItlPncTieJU69Zf1cldhXOTS9D+SN2V1d3TIUmAqZ7V4jSxbsRZHn6+zi2ksqVMK8ZHplr\nv2/GzrhuwU6/t7equijm/FDB50b9Prn0UtGsxq7nRnsz6vN7ONdbLTyxCwa1qJrkbntjXvV0pFvO\nAcgI6ADC0FLG0B1QZKnypUX78DTiSWwMyeGWX4CMjzem8PdaJIWuOG6E5nfVG5BYmKSi7Ud+tcnQ\n52PMQ2EmUoV93O4StmFZiLUzQCA1RpeKJRm4Fa71uYpOSiNsu3FYwTS2M5xQazWQNtz6s7TqeiB+\nzn+KxE1bAfIwSHnQZqNTsLzyMNSsySyppr+meRBBg3xIZWo2Frsqtru8a9WxDrbzawXG7YWqV2Bl\ni4qvCSfM+XZkWs4ByAjogNudO1/9HMNBdKdLdhueg4cmXj6qzNJ6gHwZ5C7zb8kkGjtxsZelDB+j\nPwuoGD47cxGl1jDNkfPdwl2qbkdmnKBXQtK5kQ6/o9ipARIMrIwiyg6irUgHImqj9sybgoGB7n7d\nRCqoRnTmS7sm6xKwmsgukhDi3BRn34GshDvmBWMjKg+oEqd37oNrH4iv1nTDESU5SQoV7/IfhvNl\ncBxx1EdqPO5zfDhGSmCGuFLctKvf7fsy17jpRG45ByAjoD2b2R83oXW/I8WLMMypQsL71q1n1FQg\nN4H8j/33gn7w+Xdh/NPR+mEbUSt/Ea5+C8YfdHOV0WNMKlmEuWJeZogyjuZMvfOQCTG22WWcOchM\n3ScFIK/DI3PsTEakg0IaYa4QxcyY5tqm6hq1Os6+A3larb1f6k7mLWRnJuzzBjILlX/sfcH1C6sv\n75YG/Q4Ccw3P3BO6L3ONm07klnMAMgL6sJ5TJ1kT12Z2cyi3ivKEGdINn3rLpp8N9j29xXa4slFT\ngVwNsirini0g/xzdlw2O8u4oxGD2cqloVnES8WwWqh+bK3PFoaScqRe2TIlxFKGXlCpqlWz9QH4C\n8l/x9o7dJuYg0bLVyoNnvMuOskJgcLe51GjRsniegPIKjGnz3pMcscaTLLTqt7wFRv4OnnhHeQ9q\n+5nHDnTI7I2mAwlNHmw1nfYMA3avv1zjphO55RyAjIBGJxlsFCVBuCULEa8aoESSGsHghR+rKmom\nDnLCM0k5U+dZ+QhIi31M2mOqxJoiw3t/5qm9VfDahKeCPvy6UtqNnXBzC3ykxM5N2xDY6J1JOdPw\nPnW97Kgkgqao4PmS9u56Cma/Dis2BIsVVe+w1+CW8SCvgvSOty/jewN5iYffjjJFFGetI81tEc8l\nLQ7xfn0TDPalRU+usom2WZikldqDwfxUboJn8ka75zAsQdXV0CfMe6vskANDvcDYbqViyxOKI91y\nDkBGQHv05XMFbhF7grtRonSgZt93b796w85rg5Ktyj20aBmc1h9kOMhjsLjDvImv/n20p8hp/VWN\ng7FPRvuoRxM29VzlH+C2d1R/w1bHQ8jycZDtpDPQmvuWk1G5mX6Gq95F8P0muE1G5riShV8FEp+L\n9MY7LBRH5eN+dqIvU2rJSph7yNQ/yLkgO0Eujd6TyeMMgnD756ZenEp1tojndoGbtsDKxY4KdpLr\n9yQSnWf/FvuZBOcem3vyPSGfx1iSBrYLDH/Yt/fOURUqp/rcZKtb1fj8sT159dPRaDkHICOgPQFG\n80SVUawQZdyuElWQR28krYsXccTbuOmqDxvcDsCr60BqVTI+/33T31Gup2H6ZDtByFS1lXYVXg6L\n3g3XDfsRg3wHZGn0PMupIE/CCz+xe7KYotYz86ZR/fnnIr4axXmv9qyxpVOPU5970H0gT4PUxduT\nySKYg/tZJNiWHIYXvjNcGdhtyH/2644UsSp9DnSJ0ep9yfemDr4zrbkNXn3uNCKf7+qvsEG1MZ1e\nl9ebt8PGt1V52qJlipG6fTf8eamCq7BBBR+WtEDZrqRSUr71XMs5ABkBfdhnXUTl79ERuiYvqGZx\nchLGVSwAACAASURBVBtpL4sRe92BfE6fNm7Jj2D8CDIaSYcRhMxjLEwH3FwQyYH5+j/BXfthXmG8\nuR59cbDuRVypx8aZRtW3mOJKTW0z+k58wfseN0dc3hJuMPanhzHdM6dZqequjGVot/czsiV6rsL2\nnghUrwZ5E347yx5HUrkS7rakLxnQEDbv4YQuuOb2OhTa/VfP/bUCy0TZMA4nuDRILN8vt6R98XlR\n5V1mc9lyDkBGQHs8capE2SXa08TAtIlni9l/2ymQEh0ZHIa447jb2u/JRLKwP1MYQAwhUo3V9z36\nPSbimbxCoHlsjy2CuTonksVgfEcbrH8qaKjXyfa0oThTIj5pryoGFT1njmHbbJyO3suFDXD9Pi/H\n7VbTfP5d0hKOHd7in8EbXZmpM+MmDFRut1CzyfuOOoFRh5wcWvq3RvGmVI8rTep7B/oi7PN5oHLZ\ncg5AxoAfzrNTIYp7qRWL26IoUTxOhG08ySIISxyEakXuDyvkNjEyoZ73nUmy0/Z0TIYILD4A8ig8\n+70w77GINbToyee9CZOfDyd055wHNavtBFN75ISntzD3P11ghIFLb5QgATGp19xBglHpMQLpa0RJ\ny7NFEZ8RXfCzn4fDO2EDVF0MsieO9Bac+9JdZseIe3zf3blXSaVGYvV2kDjHUyHa99gEw3fNolRS\n+TxQR7vlHICsgEfnMpogiqupEpUi4EpRKqkKUYRigkT7iUdFBsc99PrZOHrh2j0w+4AXWXjrCwTf\now/4VW/G93yyIvwYB9lKaH4NMgKmvpSJaiA4H6ZCO34Vmj95XZi0ppmJ6PQW3v4XbIFJG80qLBPy\ns7mUBlWdwfeajNbR3LNhPorVety5Pw4CtexFXzp0W5GjGa+a53xkS3DO3O7s9uSI9j1WZZjvvNop\nVy3nAPTIIOgzFooPKaJQJYpw1IlKKDhXOFwS1MQpelwy05xtMDI4GgZ9gO/Ya4uSDR5yW2qKMOOt\n54D73BWjvIT873FXV9Pf+z2nwgmhE33rRgbNgX6iYeqpeAC3tBgWqW+KMJc5IM/BmCfM8JgIiJsJ\nifbc8r5X2x/c70o2D5l40oXMW5NT791k+7p7sEo6GSbN+dc0U+luoShDvf/Z8QJ9bsk1znkvtpwD\n0GMDoaAYSjoUwagURSSmCZR3KGJS0RwMOJsYGcCWEIZ+qgTohGficXg9oUry1juwwxVVD8Lu4hmO\ndAc0mAsL2V2U1XNjnrAj3fC5cPp4bJHyVIuLnMNsOFM2K68cOV/dZ0JypYa8Y6YqjIE1skT/62f9\nxbns80Ag79PljyYnsklS2ug1v/B8kGfhT1+0e/W5K/HpM1ZmCNA0SbCe9zWZU5FXiDKaDz6QVz8d\n/ZZzAHp0MBQUw+BOtakqRBm8GyVtyC52As5GtsBAQ3H6zEVci3fSIV1UyfxMfMN2Jh5TQfiKltlr\nIES7eJr7tSfusz8j18Dn92QjWYAMBtkBXxsaLj0EpLGNUPhb87tqVnuf86uw+owNdwm2Ifrb3gFZ\nBjevC6qsdGW4aIKT9g7yEcexlneGEdl4+85LaGc0wl8fA0nFk9gqV6rzdvXbSVKWO31Ut3vHqTUF\nC0QxhHlV1NFuOQegRwdjLHwkloOQHfINvjvUz/6AXVceT4WQiceUGU7buGsOwrIbw581cekTX4jg\nhF3PXPNLePlXIJvhgelxbRZBOKQfyDaQayNgbDLbdSoOJees/dUQb29VMS5xgtWqVoBMhFkbg+9s\nFhi4w0m5b7dZmD3DkruTZm5jm9gUl5mwq5aigxTTzxdDySGvpmB6ep9UZXxO8y3zlnMAenQwlLfE\nTyvh9hVfIE7xlehiQ+Z3RwVWDeo0qYqSea/csjtbtZmd6NSsAXnM/pzp8M/fB7MiUnf7n5n1Dlz3\nScvYAz74wXka+6RS9T35BTOMOmeYjtifLsEcQyMtSD0e4VXvmbMRbv5bkJBklv4+yJEHK78p1ZN/\nfzWLkmCT7Qv1vprVULfNvC+zY04imKeY3nJ9xkJZtzch6CSJqvGRb0em5RyAHh0MJS12TstRi6iD\nEpbnpieRsHY/rM24b9W/nA4b34Gy32TjNmhHaOd/DOQNkEHJxneFqYxpVpHp8WH2Izib/eQ68aaH\nKDTAXB3hKeV2gggjCGHBiFXPqkSP0U4JljWwxJxc1u6oV8M9sHx7qgrEqC7MrhhX1UoFjykRYHSQ\noqu/YvhUB1wlXucVJz4q345eyzkAPToYa0nViaIyqpo4vJ5Jdxwtdldl3LfqX74M8v2emSebiuWP\nn4fPvZUsxYMpCVyka+vuJMQuvo7dpgaqcCPnAwoJ/eNVMPKQre6FM09+SWVUe1yXZfu+qG5N18lo\nUpHNWpKISpRosllot3F339HZldN7qswmTSYl9OZ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33VcvvHN4DuosVDWKrDHMv23O3eel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\nUBRFUWJRZaEoiqLEospCURRFieX/AY5SUy5TwxCZAAAAAElFTkSuQmCC\n", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, { "name": "stdout", "output_type": "stream", "text": [ - "1089 city tour with length 46981.5 in 1.052 secs for greedy_tsp\n" + "greedy: 1089 cities ⇒ tour length 46982 (in 0.569 sec)\n" ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ - "plot_tsp(greedy_tsp, USA_big_map)" + "do(greedy_tsp, USA_big)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "The greedy algorithm is worse than nearest neighbors, but it is fast (especially on the big map). Let's see if the *alteration* strategy can help:" + "These results are mediocore. Let's see if the **improvement strategy** can help:" ] }, { "cell_type": "code", - "execution_count": 84, - "metadata": { - "collapsed": false - }, + "execution_count": 44, + "metadata": {}, "outputs": [], "source": [ - "def altered_greedy_tsp(cities):\n", - " \"Run greedy TSP algorithm, and alter the results by reversing segments.\"\n", - " return alter_tour(greedy_tsp(cities))" + "def improve_greedy_tsp(cities): return improve_tour(greedy_tsp(cities))" ] }, { "cell_type": "code", - "execution_count": 85, - "metadata": { - "collapsed": false - }, + "execution_count": 45, + "metadata": {}, "outputs": [ - { - "data": { - "image/png": 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32GhzGHOO6sxZUctlREOa7Py4RcQtBTYhcGVRPGZZERoB2wJ278aQondwVz0Y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\nMmLKwjAMw8jI/wPmeYcBxNnlLQAAAABJRU5ErkJggg==\n", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, { "name": "stdout", "output_type": "stream", "text": [ - "80 city tour with length 14133.3 in 0.022 secs for altered_greedy_tsp\n" + "improve_greedy: 80 cities ⇒ tour length 14220 (in 0.015 sec)\n" ] + }, + { + "data": { + "image/png": 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\n", 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PNDXAwxW2+vW+zGR4F/A0MBr4g6XuyTBruT8vvPDsqycDr7tDsFf+3N5X69+E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\naM2HSv2xEErfcC9od+8IF3jWQu8s2VqAWehqgLvXw333A68H9xEWiR1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dpjW77e+jjdJz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\nIAiCEIoIC0EQBCEUERaCIAhCKP8PflMB7S53vuMAAAAASUVORK5CYII=\n", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, { "name": "stdout", "output_type": "stream", "text": [ - "1089 city tour with length 43769.9 in 4.177 secs for altered_greedy_tsp\n" + "improve_greedy: 1089 cities ⇒ tour length 43733 (in 2.996 sec)\n" ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ - "plot_tsp(altered_greedy_tsp, USA_big_map)" + "do(improve_greedy_tsp, USA_big)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "That's the best result yet on the big map. Let's look at some benchmarks:" + "That's the best result yet on the big map! (But not on the smaller one.) \n", + "What about a repetitive greedy algorithm? That might be a good idea, but there is no obvious way to do it, because the greedy algorithm as it stands doesn't have a parameter that can be varied on each repeated run.\n", + "\n", + "## Visualizing the Greedy Algorithm\n", + "\n", + "I would like to visualize how the process of joining segments unfolds. Although I dislike copy-and-paste (because it violates the *[Don't Repeat Yourself](http://en.wikipedia.org/wiki/Don%27t_repeat_yourself)* principle), I'll copy `greedy_tsp` and make a new version called `visualize_improve_greedy_tsp` which adds a line to plot the segments several times as the algorithm is running, and a few lines at the end to improve and plot the final tour." ] }, { "cell_type": "code", - "execution_count": 87, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - " altered_nn_tsp | 4820 ± 233 ( 4450 to 5346) | 0.008 secs/map | 30 ⨉ 60-city maps\n", - " altered_greedy_tsp | 4766 ± 207 ( 4320 to 5185) | 0.009 secs/map | 30 ⨉ 60-city maps\n", - " repeated_altered_nn_tsp | 4640 ± 194 ( 4298 to 4991) | 0.148 secs/map | 30 ⨉ 60-city maps\n", - "----------------------------------------------------------------------------------------------------\n", - " altered_nn_tsp | 6589 ± 202 ( 6188 to 7016) | 0.036 secs/map | 30 ⨉ 120-city maps\n", - " altered_greedy_tsp | 6539 ± 240 ( 5994 to 7203) | 0.037 secs/map | 30 ⨉ 120-city maps\n", - " repeated_altered_nn_tsp | 6402 ± 185 ( 6015 to 6779) | 0.701 secs/map | 30 ⨉ 120-city maps\n" - ] - } - ], - "source": [ - "algorithms = [altered_nn_tsp, altered_greedy_tsp, repeated_altered_nn_tsp]\n", - "\n", - "benchmarks(algorithms)\n", - "print('-' * 100)\n", - "benchmarks(algorithms, Maps(30, 120))" - ] - }, - { - "cell_type": "markdown", + "execution_count": 47, "metadata": {}, - "source": [ - "So overall, the altered greedy algorithm looks slightly better than the altered nearest neighbor algorithm and runs in about the same time. However, the repeated altered nearest neighbor algorithm does best of all (although it takes much longer).\n", - "\n", - "What about a repeated altered greedy algorithm? That might be a good idea, but there is no obvious way to do it. We can't just start from a sample of cities, because the greedy algorithm doesn't have a notion of starting city.\n", - "\n", - "Visualizing the Greedy Algorithm\n", - "---\n", - "\n", - "I would like to see how the process of joining segments unfolds. Although I dislike copy-and-paste (because it violates the *[Don't Repeat Yourself](http://en.wikipedia.org/wiki/Don%27t_repeat_yourself)* principle), I'll copy `greedy_tsp` and make a new version called `visualize_greedy_tsp` which adds one line to plot the segments several times as the algorithm is running:" - ] - }, - { - "cell_type": "code", - "execution_count": 88, - "metadata": { - "collapsed": false - }, "outputs": [], "source": [ - "def visualize_greedy_tsp(cities, plot_sizes):\n", - " \"\"\"Go through edges, shortest first. Use edge to join segments if possible.\n", - " Plot segments at specified sizes.\"\"\"\n", - " edges = shortest_edges_first(cities) # A list of (A, B) pairs\n", + "def visualize_improve_greedy_tsp(cities, plot_sizes):\n", + " \"\"\"Go through links, shortest first. Use link to join segments if possible.\n", + " Plot segments at specified plot_sizes.\"\"\"\n", " endpoints = {c: [c] for c in cities} # A dict of {endpoint: segment}\n", - " for (A, B) in edges:\n", + " for (A, B) in shortest_links_first(cities):\n", " if A in endpoints and B in endpoints and endpoints[A] != endpoints[B]:\n", " new_segment = join_endpoints(endpoints, A, B)\n", - " plot_segments(endpoints, plot_sizes, distance(A, B)) # <<<< NEW\n", + " plot_segments(endpoints, plot_sizes)\n", " if len(new_segment) == len(cities):\n", - " return new_segment\n", - " \n", - "def plot_segments(endpoints, plot_sizes, dist):\n", + " plot_tour(new_segment)\n", + " plt.show()\n", + " print('Improving tour:')\n", + " tour = improve_tour(new_segment)\n", + " plot_tour(tour)\n", + " return tour\n", + " \n", + "def plot_segments(endpoints, plot_sizes):\n", " \"If the number of distinct segments is one of plot_sizes, then plot segments.\"\n", " segments = set(map(tuple, endpoints.values()))\n", " if len(segments) in plot_sizes:\n", " for s in segments:\n", - " plot_lines(s)\n", - " plt.show()\n", - " print('{} segments, longest edge = {:.0f}'.format(\n", - " len(segments), dist))" + " plot_segment(s)\n", + " plt.show()" ] }, { "cell_type": "code", - "execution_count": 89, - "metadata": { - "collapsed": false - }, + "execution_count": 48, + "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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\n", 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\n", 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\n", + "text/plain": [ + "" ] }, "metadata": {}, @@ -3139,97 +1501,22 @@ "name": "stdout", "output_type": "stream", "text": [ - "50 segments, longest edge = 119\n" + "Improving tour:\n" ] }, { "data": { - "image/png": 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Gd4DDgaHuvJ9G3EVmxjXAn925InQsEo6ShRSKGT8FXnDn4gr/fiBwP7CPOy9m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\nKiULERGpSslCRESq+v925hp4HkFWDQAAAABJRU5ErkJggg==\n", 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34uzAB6qyKGKRAqXqQbXLPrDkaxhzeK7nR4RXgStUmRCIkCnHTBWRM2B2sYXQpt6P8yvg7F+gzWJc9NJzuNpjqwofq6ZSyudYiTAC+F6VoYXIkxii9rAXGBGxOeiXEcswBvSSqI9FnrKLV7Z7JujmUcsT0j6fAnpvnuuODj+iLF1EztHvgO4JulExZBKn348eT/k7jj8ReF6m9mLQzaI+dnFZitoMRcT+ChEOxL2ZHxmVDIWgiuLqPS0EJorQS5UpUcsVMO8BZ+S5bozqQ623CXAlsBVQT4RPoc4yRwt8S/ePdPvRqMzfcXyJfAM4BJiiypf+yle8FK2ycFPNbv+G9puKvDkqbLOPCGsDI4ABGoqzLThUudVL3ntJhCNVeSVqmYJjiwo48v9EPnkd5s/L8bqJoORHuoicdyaouoef11dly2rL7t5naxG+oK4S+UyVlBn6fplwst8Pv4NACot8q9r/rgfA/Okiz5UXk7kvUKKe2kQ51SxMBr0c9LGoj4XP+7Snl7zXL2pZgtm/wq4bXIe/64pFZs+U0gH0UNAhoKO85LWfQL8BfQ30DtCzQHvCxbsFdV+5/Tjr16Dv2fTmrkNeDvr6SPoSuQD+XhDhZFaCbuHZMzeO+lgEsG/bgs4DPStqWfzft8KuG9Dj8/V3FCZ39lnHWe6HgG4Mui/oabg2ruPg4uVB3VdOac362s/9SH+saj/wT1wIsxaA3gO6flDXR9KXIjVDRZcE52WS3oqr0zM/6PHCRpWPReiKM0m1Ai5Q5Y+o5fKHgq+bSOtD+bc9FJe3MR+qTI4iMyZA471r/tq3+6ovtH1cdfJgH7aVlqqqARu9DYsXwMxPXIjuXd8DlwPTRbgQ+G/d6zr+ybVRUqTKYun3EWZWHgZsBOGUzIgCVb7ysr2fBe4T4QR15diLnILt5lEm5QXoT6gkUL9CX2CgD9vJiFMYLAROVOXDan8aLMIDwEjgOBFOVWV61Z8tY3u1RD21yX2aqevCZ1Ph1CVh2xZBm4B+DbpbuPtcaYboE9j0Pc3+NgJ9BvQl0CZRn3t/jmNBPoutQWcUo+z5j3HKYh/MXu1xjbHSFvjz/3jpF+nCwUHre+a3RaDD3XXepBw6jYF+v8MQhbnms6h93KIWIMcLoBHoG6C3+m3HzXL868K2WUftdANtAHqX5xjdKOprwJ/j2XkUnPIpnDEnx8qzLUC/i0bucOzpNe+r7k/C7O9AuxV4DV0Aelu4x0uXgjbL8JuWoA/DrK/ghAU177GjVsD2Y0xRVDteUQuQw8lvCPoirmVoaG8o1cbfzosU2iCEsRqDbg96GJzwUdRON88hehnoLNC2UV8LPu1Ta9DvQRtkv87W7eGfv4c9w3Nj95lQ8xqoXA6ZEPBx2stFTl2yW76zW9B3QfcN8dzWA/0dtH52vz/0lajvsWJYYu2zqLLRttoYWreBk2bANsdryA5XEeoBtwGXaJqyGLnak0VoCLQBtvCW9tU+mwOzgZmwdtOonW6qKPBPzw78pggHqfJBWOMHgSpfi8xcABe8ICINMp0zr1zFi3BuPecEXg4M2FWkLKSyG5XFKsO1p6vymsgbI6HiFRjXsFrJkaz2XYRNcdf5G0HKWYsyYJlm3c3uD4n6HisKotZW6bV9KvPL0bOjmBaCHgf6Tro3lfSmopZtcCVJeoCeDnqzNzuaDboSV2bjOdAbQE/1Qhk3rT5zils4H+gh3gyre1S+FP+urwHfpzPvga4DugPo4aBD4PTZ0YZrT74WzlgWhTmykGsQl8NxT8jXaDk5lAGK2z0W1yVyAeJ+AkGbu2m47pi7rJf+BvoV6HjQ20AHgx6Ic/itkd348UsUAt0NZi+Ck76Jk1z+XF/nfAM6H3QF6FRcPajhcPKMKMxA3vEuB13skuY6j4J+k+CSX6BXh3COVf4mMNA3QQ8M+frcHvR/2f8+fvdYHJcYm6FiE/N8FfCErtbssulmqWX9ZKIqexUyeFXc+PpvQsVSmDE16oq2qkwUOeNteKxXXLsDZibd9bV4AXAw8LVWM3eKfLwJLN8yorDKG4AbVYdNBCY6eXgE6A5MC374/EJKRWgBdADGByhcKpoCS7P9cXw6OsabGDc/8q1hTd6IsAvQG0jb90CEPaFdx9Syzv+6cBkqfSENm8CShfG5iNdqHBNlnifprq+Zn6jyldbxi00b4kqDh9sIR4QDcA/ca2v96XpgkAj1gxzfkWrfL/kdBr2QYcWDgRdU+SVY+apw98sRQ+Ef24h0GeX+nxnVirmqk/urPrmP+4zDPRYzop7a5DY1PDrMkNH6oB+A9l/N3y8FXQiPHxPENDbO0+O4mAnDPLZhh2vjajvNAu2Z5u+TQPuGd7yq7/tDR7prX88lTYl00HGgfUI8p7tBtwq4WGGowiexuV+SsEQuQIaTX+0CPXs+vH1jeGPrabhCa3VuBFy8/XjQV0Fb1ZXVnwdJnB/IcVZk+V1f8XPQg14COmY1fz8UdGKE8m0K+h7oo6Dr1PrbeqA/gjYK71z2q6h5PZ7jKYzo75ckLJELkP3FoK1AvwXdOYSxWuCyO7dO8bduoAtweQdZxXHnL0c0sfXZy9ekHM5dBMe8H8eHbTEvVU5tTXtMcQmTc0E7RSjnWrgCfR+Dtqv2/d9BR4cnR7oXq6GxuV+KfYmxg7smqiwQYRDwgAgdVVkR4HDXAPeo8knlF16/738CxwP9NZTWmvGuVePV4PkKOEWLPO8ihtwI3KDK3HQ/UOU3EW4GBhNRAy5VVopwAjAAmCwy5ny4Zl/o0hMWfBpeP4h0AQuriMv9UvREra1yf4PQh0BvCnD7e4F+WX1ajSvn/Lpngw2t5EVqU8+gn6F9u7BkyOJ4TQPdNmo5krTgwqs/B10zi9+ui8tE3yR6ue/tA4NXRZMLcux7qWcW3SpsxuvTMY5agNwvCm2OK+bne/kAXEmR6aCHVPuuJy7PYkjQZqfUMlW3q3cZBdPHg14f9Xmodnxmgm4RtRxJWTI5tdOscwPo1dHLHr6PjT9L0Xw+B46dW1NR9auAJqEW/UzyUjRmqEpUWeJNe+8VYTtN0x4yT84C5gJPibAGcAUuZ+AIVV73cZysqd3LQIRmwAciTFbliShkqkVDSEL58thwLjBVlbE5rHMz8J4IV6iyLCC5siDc3CivDM/NQFdotys82QhmWq5EQBSdsgBQ5SURngNuAo71Y5teDZvzgF2A1sAjQAWwg6apBxUFqiwV4TDgRRGmqjIzKllcDPugDWHWKJGv5trNWRgibI57YemYy3qqfCEy7T24doLIT8uC6XWRDeH52LyXuf8CmwB7qfKju12LISG0SIl6alPA9LOxZ9f1JY4b9Elc3sRBXtTV+URQ3TYHeU/2IlBCCU2sO37xh87GbQF9GvSi/M7F8V9HfS7CuiZwrQqeA30WdO2oz1upLOIOfnEiQmdgDLC9Kt/kvn5ldvSW20LLttB3NHTcGzhSlUl+y+snXnvX+wAFjlMl1BMp0mUUjDuq7ltk9wdVJ9vbXY6I0AuXlb2t5pjxHKdzUXVPBWMKEqEproPjXOB4VVb5tW1j9RSlGaoSVd4S4W7gThF65/LA9EpOj3f1jCrLLl94KNzQVfWBj4KS2S9UUREGAO8AJwF3hjGuCC2BntB5v+Iu9xEfRFgLZ1IdmKuicMSmjhp+9wuvjggbAS/hyp2fpYnpDV8cxLg2VNZcBmwK/D231ToMq1IU4D6HN4LZ//BXvOBQl2vSFxgmwo5BjCFCfRE6i3CFCB8AnwD7w7ezoq7dlSDOAz5S5aX8Vk9X52plhM5ufxGhHFdEcQxwpimK8Cl6ZaHKr8DRwNWegzBL4vM2VgjqHNwDgce9SKmCEWF9EY4S4UHgW+AO3Cx0MLChKofDM3+LorBe0hChDTAId2zzJFWhv3MWwy27iXClCI0KlzQ6RNgaeBO4WZXLwja5Go6iNkNVosrHIvwb+K8Ie2f31hHv7OhcUOUJEboC93vmuJzeurwQxI7AAd6yFTABeAE4X5U61XOtrLNv3Ahcp8pX+W4g3bmAO1YB1wHTRTgDyqbl0s0xDojQCXgGOEeVB6OWp5Qpagd3dbxSza8CT6lyfebfp/JZDJgNT4fUJtNfvFDC14DnVBmexe+b4fohHADsDyzBKYcXgIn52c6NXBDhIFzp8e2CPN4idIdZI+HmDWF44zhf7zXbE8sf8O/toc1xqjwXtWylTmKUBfw5pX8HF3c9PfPvg43cCBsRNoY5U+Dc/wH1q789etFT21I1e9geN7V/AXhRlTnRSV46VF1zG7eG9jvCDgNVD3sg+HF3fwjGHhmHiKl0pH6BGzQfHt+tmO/LxBB17K7fC+iJoB+CNoxalvD3vUk5nDC/Zpz7iQthysNeiZTZuD7gPS0+ParzE01uStwrGDsZ41uS3xYtfgd3Cu6GT5bAyR+I9J2QS7es4qfDMLipVc0IrxtbwE3tgX2AdqoMUmWsKj9HJ2epkioC74627vugib7zZGaSEXSSVBLh4K5J2WbQpy3cWl7NNrurSFmsbLPBkO5m+7FCIywLYlQS5cNw2hA4pwdct35Nn0WcoteSE3SSRBKoLDoMq1IUUPX2NnsYia8bYzdbvInu/Di/1cdvwynrwYqV8fTRTRsCg/aCmzeOr0IrXRJohirlqWyqeHu72eJDNOdHpKzclQR5pDss/g7GH686uX+8FEVl9vffRsAFc6DPq9D9wbhFa5UyCZxZlO7bteU+xJuq8zPvX7D7ofDKI0GfnxQRRr1hQIf4mmX3XQ/2vVuVq6KWxKhJokJnAUQG7wIyCa6oH+d4cqN08cKYfwUaqwbbCyRORQazQYSngAdUGR21LEZNEjWzcDfhDUPh7RHQfQN7uy5daiZ3xStbWRUVYSnQDFdOJUCKziz7f2DBGHEkEcqi6sGw7U7QdAMYc4bqzFlRy2VEQ5rs/LhFxC0BmhO4siges6wIDYDNAbt3Y0jRO7irHgzjjoKR/weXNoddxpZOboVRlyjzGbKmUlkETHEEPbj7tecTcDHQ5S67f+NHAmYW6R4MpRAqa6Rms82LwPSyBPypErw6agY97LQH/LwUnu4doxlWqpngUTGcCZY8CVAWRWeTNQJAhE2Aw4DDod32RWB6CWlmUdWQSITdgRGqd80NY9zssRe+YqDozVDFUcYgPZUx8KVXmqRwRGglwpkiTAI+ArYB/gmPdigC08tSQlIW1ZgMtPQKbsYIe+ErBhIws5g2BAbsWrfUeKweDCnJ1REb5wifsBChBa474BFAB1yvgyuB8VVhqDNxppeVd0P59jDpxRgeq9BmFpWo8rsITwOH4PpcxITiccKXNFFXMvRjcdU8O4+Cvq/CRcvgnkOilik7udNV2TzsVdAdQVuBNqjax2gqlka9gG4IOgD0VdCloA+AHgS6Zob1DgMdHbX8aWQ7A/SWCMbtCTox6v2vKdNzA+GsX0rx2i6mJQEzi5pN4kU4CTgV16s35mzcOvX0e9NtgbuAVkBzERbDqWu6SK/SsOuKsD7uDfgIYCdc342bgLGqrMxyM02AimAkLJjQZxYeE4CHRWihyjcRjF8DEcrgwIvg+6Og+8GWGxVfEqEsanEfcJEIXVWZFLUw6RBhXdhsy9TT78ljVf9Ufg2AjWDhU9C41sMlWXZdEZoDBwOHA52Bl4Dbcc2ZVuSxyTLgJ/8k9JVQoqFqo8qvIrwI9AZGhj1+CoYBY1WPeQKOeSJqYYz0JMDBXRN1dusrgcuiliUdImwEvAZHvZTJEavKb6rMh1mfFbMjPx0iNBXhWBGeB74ADgTuAVqpcrgqo/NUFBDvmUUUDu5KngT6RDT2n4iwE+7F4PyoZTEyk7jaUPBnP+rPgGNVeTNqearjRaK8BIwCLnf9NzK3dk1Sz3BneuCvuAfFnrje6Y/i+of7NhMQ4RpgsSpX+7VNvxBhC+B5VdpHMPY6wAJgM1WWhj2+J0N9XAvkEarcF4UMRm4k0QyFKqtEGAYMBfaNWJw/EWE7nO19uCq3um+r/C2royq5au1nYY1GMOVqDrtuAAATbUlEQVStYrLreg+og3AKYh/gDZyCOFqVHwMatgnEtrd4VD4LVFkmwqu4Wdwov7abY7TeQGAZcL9f4xvBkkhl4fEAcLEIe6jyRhQC1Lx5/lgF13WENqer8mg+23MKg7eA91W5019p/UeExrgH0uFAd2AS8Bjwd1V+CEGEJsTXZ/EDsK4I9VT5I4Lxx+BMUb4oi1zCwEVoBVwK7KFK8kwbCSWxysKbXVyB813sHfb4qW+eMxfAY+8UaEbfEFjkh4xBIMLawAE4BdETeBunIE5WZUnI4sTWwa3KbyIsw8kYhuKszbPATSI0KsAnVI3VZ2HXfHFq3QaOekS104zCxzXCInEO7lqMAlqLsFf4Q6e6eW5q5UMxuw2B7wrchq+IsJYIvUV4CFiIC11+BWinSg9V7o5AUUC8HdwQoSkKyprAP1bACW/7UzkgXRb2NtuLDNypqtjn6L3hqs3glgOsWkFxkdiZBfz59nYFcJkIe4U75Q2shEGoyiKdHVqENXGmpSOAXrhyG48Bg1WDLrudNbGdWXhURkSF6lepmvVe1gIat4Dl2xZeuC9dFvY6ZdBkElzTsOaL0+1tYFYic4SSStJnFgAPAS0J3RQVWM2qDQhJWdQs/z56b/d5+GSR/z2Om0Gcj4to2VqVvVW5PUaKAmxmkYYgSrinK4V+9x4wfbLVfip+Eq8sVPkN/pxdSHgjTxsC5yz2s5idCGsBaxHaAzClKa0l3FAObKvK7qrcosrCcOTJjsrijDBkM+h2VYzNHREpC/9nvW5G8nQ3GPYj9H8Huj9YFda9cH4Sc4RKjUSboarxMMwaCheME9F64RThq/gSPv8Bjp4CNPCphMEGwKLwzGnpHioVP7lEwfiRIrCgLwzYPsjeCAUUeIxIWQRTuM8zT34ODFLl3aq/FG+xT6OKElEWZa2hX2O4b98Q22zuBe1/hSd7+PFwdw+kvW6DrdcVeWNUODkWyyuKrxpoOhNL2UtexdWfvGVZhn+vyOa85dvC1a3XbzdYYz+RKV3CzZkJ9OFd+4KhZgMmq/1UrJSIsugwDG7YKOQifAOB2/xTFOF2EnPNhG7tCGcvgus3KJ43wnSzod8Bvsf5MdYH1vH+3aTWvyv/v6YX2lqpPNIolyP2gxtTKKevhgNHppKw6nzeUHk+24TZGa7q4d30FfjlF5j2oY8P7zrKonJMzJld1JSIsgi3uYqXdNQNOMGfLYbbSUyElsAEaHsDPDwGPi6iN8J0Jpap7+VS9sMr4LgOGZXKmk1SX1t7Hi7C/riyGvO9T+/fBxwWdWc4z2T0LXC+zyVxUioLo/gpEWWR7gHybVDmlJOBR1T9ckSHp+xE2AAYD9yryg2eL72I3gj9MbF4gRE/kCFhTuTDv8Dy8rrX1viH4fJBuDLzG3ufrYCtoPXWMYkOagfM8nmbpiwSSokoi1QPkItWwshm/mWwOrwihicDPfzaZlidxLwS4eOAJ1W5ys9th0X49vH0yslLRFwCTKu+hsjkdZ0pMTpfkCuRT2PwvaeFKYuEksiqs6moilipfID8ejm8PwTXt7m3Kl/7Mw6H4qJB9vBje26bwVec9SrBjscV+DvXavZkT91ra/XKKQ4VhEXoiJs9/sXn7V4NLFXlX35u14ieEplZpHawiXAscB7wjgh9VHnHh6FOA27zYTt/UvW2XP4pzHwP5n3p59uyV/DveeA9TFHkTK7O25hEB7UDPg9guzazSCgloyxS4T0UrxZhBvCcCGeq8lC+2xNha2BLXHMZn6moAH7B50qdXuG/Z4CZwBmmKMIhBtFBQfgrwCmLjQPYrhExic/gzgZVnsH1vbhShCtF8j4upwL/8br1+U17YJbPimJNYDTObn1yRKWyjWgIUlnYzCKBmLLwUGUq0AnYAxgt0n1rV42z74RsqnJ6zX2OgsD6TPhqNvAc8Y8AP+M6Cv7u17aNoqA9piyMHChpM1RtVFkkQjf43/2wzRS4smEOWbn9gddUmReQeO3xSVl4LS3vBxoCh3hhokZpYTMLIydsZlELVX6BU1dVKQrIVJXTK1A4EJ8d27Xw5U3QM7H9B1dnqm9AJjMjprgii3s+ApdsCF3/FUCRRVMWCcWURUpyToLrCqwJTAhQqILNUJ5SuwVoiwsXXumHYEZxUBWy+8IRcEU9ePko6D3eZ4VhyiKhmLJISc69KE7D1YHy3UFcrdx2R9hncL43tqcorgM6Ar1U6+ygkXiC6GNRB1MWCcV8FilJlZV79nepSkaI0ALYHxcJ5SspkrcOhQE75FlwbhiuAdQ+/pUhMcIk11LoIjQCtgO2d8vuB4VQZsSURUIxZZGCuklTK5fBLV1hZMMUPz8BeFx19TWE8sOfAoIiXAwcDOylylL/5TSCJlMpdBE2xCmFHfhTObAZMAPX8vYjmPk2LN8v4DIjpiwSiimLNNROmhJhIPCQCF0qncJeZdIBwEHBSFF4AUERzgaOAfZUZZGf0hlhku7FYYOJXtDC2vypFHgRGA58Wj2AQeSVZ2FAijIjvpacN2WRUExZZM/tOHPTZcCF3ne9gHmqfBTMkIUVEPQU3Ok4ReF3wTgjVNK9OPy4BPey8lWmhM1wyoxssT78rYnIxxPC6UhphIUpiyxRRUU4AfhI5OGpMOJA6Lo/LPhU5NnyYG6IVL6TsxZm8yYowvHABThFEVTuhxECLven3XapXxxmTFXly2y3FWSZEc9UNhbOFWi8d0gdKY2wUFVbcljg8WNh8CpYpqDqPvvPgiblwYzXpBw6j4JDJsChE+DzOaANV7+OHgk6H3SLqI+XLYWce90ZdDzoTHj+NHedhXPd5Sdv51FV8mk1OTuPilo2WwpfbGaRM9d3h3ENwupylsJ38jxwBi4Mtg4i9AGuB7qrMtNveYzgEWFLXPTarsDlwL2qB6wS6fd8vPtYh9uR0ggXUxY5E/kNcTYwSYRRqnxb/Q8iHIDzrfRUrdlwx4gXqcJgoeI3YCjQG7gGOEarNeaKQaXaDITTpMuIBkvKy5mcE/Z8RZXPgPtwb55/4uza/Bf4qypTwpDFyI+qMNhxR8Hovd1n/ykw52PgO2ALVf6tPnZwDIfD7odLfq+6PwKJtjIiomQ65flFTLqcNYU5M+Gs92GNteCPVXDdTtDmYFXeDEMGI39cRv64FG1VD35SdVzfqOQqFBEegslfwT9ax9dUZuSLmaFyJB5dzsqawpEKD+9fpbDOXACPzcOSs4uAdKbMJs2ikMYPRNgC6A5d2qpOtoswgZiyyIPobccdhsH1G9Z0st/UCj4JxMlu+IcrD7NJ2wTa9i8AblErJZNYzGdRlETuZDdyRATxcl+mwt+ehVPnJMW2L0I5zik/ImJRjACxmUVRYlEnxYQI7YCRQBnQXbXT/0SeKodZMQ6DzYnzgDtVWRK1IEZwmIO7CImDk93IjFc77Gzcw/Qq4GZNWFdCEVoB04AtVfkuanmM4DBlUaRUxekn4s00cYjQEdeRcDEwQJU5EYsUCCJcB9RTZXDUshjBYsrCMHzE6yHxT+A44FzgAdXVF/grVkTYAPgM2FaV+VHLYwSLObgNwydE2AeYCmyCe4Den1RF4XEW8JgpitLAZhaGUSAiNAOuBboDA1V5LmKRAsfb51nATqp8EbU8RvDYzMIw8sQLhz0MmA6sALYpBUXhcTrwrCmK0sFmFoaRByK0Bm4F2gMnqjI5YpFCQ4QmwBxgN69WmVEC2MzCMHJAhHoinApMAT4EdigVRSFSVu7qWg2cAmcuh7JfopbJCA9LyjOMLPH6TNwF1Af2UmV6xCLlTKrS6NmEXKfO7Vky3rrglQ5mhjKMDIjQEJdYdyau38TtqvwRqVB5UEgyZ/pKud0fVJ1s9chKADNDGcZqEGEX4AOgM7CjKrcWo6JwdBhWpSigqstjh2GrW8th9chKHTNDGUYKRFgH12DqCGAw8KifORP5moPSb4+1gI2qLRvW/f+enfJ/4Fs9slLHlIVhUPvhXU/hX1tA21eADqp87/9YdcxBu1a3/4sgQBNSP/hTfbcmrsved8C31Za5wLvu31PPhOW98nvgTxsCA3ata8Iqzkq5Ru6Yz8IoeVI/vM9cAI91DcJ5m97+f8l8uH4BVYrgD2o++Gsrgurf/ZBp5pN6Pwd+AWP2yd7Jvc8dsGUXeOMZq0dWWtjMwihJvDf3TYAdod/lcEPbMJpJuUq0W/8ltTnoxyU4J/q3wLeqdZq9F0TdLo8tN4YzXle9b27269MHVxzxRFVW+imfEW9MWRhFTzb2f6+U9k61lj+A96HhOkE7b0VoDpwInAbN1kpt/58xVZW3/BozFdW7PIrQEpgmwhWqzMtufVaI8BnwF+CdwAQ1YodFQxmxojLxS6TvBPdZVp7p9860Mu4oGL23++zzqsiYv4twqQjPiLAA+B9wKiC4RkQdgZaq9IIPJ1HnJd4f560IW4twBzAb6AD0gZG7OHt/tJ3yVFmIOxb/zHHVd4FO/ktkxBpVtcWWWCzQpBz6z4JlCqrus/8saFJe83faCHRz0C5wxOtVv9dq6529AHQ4aF/QzUCl0HGz3w+tB7o/6Eug34AOBW1Rd8zOo+CQCe4zv7EKP+baFHQR6JY5rHMC6ANRXy+2hLuYGcqIEenyAJq/JsKXQAtvWRNYCHwDrdulNiF98akqF2Yzal1bfn7NpLxw22OBQbjpwk3AX1WpUxajujkoSlT5QYRrcGHCh2a52ru4JEWjhDBlYcSIdIlfK5bhTCXf4JREhaqL/BGZPAqWp4gsys2EVMjDW4RyXBXWvwOvAScBb1bKWATcAswUYWdV3svi958ArURopsrSgGUzYoL5LIwYUZn4VZ3lwKdTVXlNlU9V+bHmQ3jakCjs/1558j1EeBJ4H1BchndfVd4oIkWBKiuAy4HhWf7+d1wRxZ2ClMuIF5ZnYcSG1HkAFy6HM+ZB+7+pMiX9euH0I/cypfvhQlzXBm4G7ldlWRDjhYUIa+D6cgxUZXwWv78Gl9txZeDCGbHAlIURK1I9+KFiN+B6XP+Iq1RZFb5ctMBFU50CfATcCLysRVsnqi4iHI7zReycaWYkwqHA0ar0DkU4I3JMWRhFgZcncRfQEjhOlakhjbsjbhZxEPAwMEKVGWGMHTYi1APeA4ar8kSG326Kc3S3LCaTm5E/5rMwigJVFgC9gBHAKyJc7LKh/UeEBiIcKsJE4EngY6CNKgOTqigAvFnShcCwLI5tZRLfJsFKZcQFUxZG0eCFe9+LS6jbA3hLhK392r4IzUU4D5dAdybO1NRWlWtKKOpnHLAAFwKcFm82Ycl5JYQpC6PoUFeaoidwJ/C6COeJUD/f7YmwlQi3A7PwsqxV2V2VJ1T5zR+piwNPCVwEDBVh7Qw/N2VRQpiyMIoSb5ZxF7Az0AOYKML/Zbu+10t7fxHGAq/iivdtrcoxqnwQjNTFgSpvw/TpcPzEDGVXTFmUEObgNooezzE7ALgMuAq42csFSPXbdYBjcFnWK3BZ1o+kyrIuVZxiOPQNGLHJ6tqvesURvwSapjveRnIwZWEkBhHaAPcC9eCKIfDiSVWVaPe5A4YdDBwHvI5TEsWUZR0aufTbFmEmzmw3LVQhjdCxch9GYlBljgh7wxuXwtJXYFz9qjfjS/rB+3fDTjupMjdiUWNOTv22K01RpiwSjvksjEThwj8vaAdX1K9ZkPCK+jCosSmKbEhXdiVlvS3zW5QIpiyMBJLTm7FRh1T1ti5YlqbelimLEsHMUEYCqXwzLqwSbalSt2T74m/h7u1hxD7APbV+/hGwpQhrq/JzBOIaIWEObiNxpC5IWDeax8geL/nxdWCP2lnsIrwPDFJlciTCGaFgysJIJGFWoi0VRDgZGAjsqsrKat/fBsxU5cbIhDMCx5SFYRhZIYIAjwELVDmz2vfHAfup8reoZDOCxxzchmFkhZeTcjLQW4SDqv3JnNwlgM0sDMPICRG6AqNxnQHne3W5lgKbq/J9tNIZQWEzC8MwckKVSbi+3Q+IUN8r9fE+rk6XkVBMWRiGkQ/Dcc+PC7z/mykq4ZgZyjCMvBChNW5G0QdoARyvSq9opTKCwmYWhmHkhSpf4xzeDwEzgU5exJSRQGxmYRhGQYgwAjez6Ap0sfpbycSUhWEYBSHCWvD5hzBqC1jwKUz/yJIgk4fVhjIMo0DKWkDfxnBLfWi8DSzfBgbsKlJm5VUShPksDMMokA7D4JZNa5aEv6Ot+95ICqYsDMMoECsJXwqYsjAMo0ByapZkFCmmLAzDKJBUzZIGzE7TLMkoUiwayjCMgrGS8MnHlIVhGIaRETNDGYZhGBkxZWEYhmFkxJSFYRiGkRFTFoZhGEZGTFkYhmEYGTFlYRiGYWTElIVhGIaREVMWhmEYRkZMWRiGYRgZMWVhGIZhZMSUhWEYhpERUxaGYRhGRkxZGIZhGBkxZWEYhmFkxJSFYRiGkRFTFoZhGEZGTFkYhmEYGTFlYRiGYWTElIVhGIaREVMWhmEYRkZMWRiGYRgZMWVhGIZhZMSUhWEYhpERUxaGYRhGRkxZGIZhGBkxZWEYhmFkxJSFYRiGkRFTFoZhGEZGTFkYhmEYGTFlYRiGYWTElIVhGIaREVMWhmEYRkZMWRiGYRgZMWVhGIZhZMSUhWEYhpERUxaGYRhGRv4fGLVNzMPxX+YAAAAASUVORK5CYII=\n", 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+yiJ2ZRHwOHCwp76XIkJX3MTgPN+yGMXJXG4oWFqPejLQX5U3fMtTkyAS5QVg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\n4lsWwx+mLIxMIcK/gOmqXFX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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "1 segments, longest edge = 1021\n" - ] } ], "source": [ - "visualize_greedy_tsp(USA_map, (50, 25, 10, 5, 2, 1));" + "visualize_improve_greedy_tsp(USA, {40, 20, 10, 5, 2});" ] }, { @@ -3238,60 +1525,58 @@ "source": [ "# Divide and Conquer Strategy\n", "\n", - "The next general strategy to consider is *divide and conquer*. Suppose we have an algorithm, like `alltours_tsp`, that is inefficient for large *n* (the `alltours_tsp` algorithm is O(*n!*) for *n* cities). So we can't apply `alltours_tsp` directly to a large set of cities. But we can divide the problem into smaller pieces, and then combine those pieces:\n", + "The next general strategy to consider is **divide and conquer**. Suppose we have an algorithm, like `alltours_tsp`, that we can't feasibly apply to a large set of cities, because it is inefficient. We could divide the problem into smaller pieces, and then combine those pieces:\n", "\n", "1. Split the set of cities in half.\n", "2. Find a tour for each half.\n", "3. Join those two tours into one.\n", "\n", - "The trick is that when *n* is small, then step 2 can be done directly. But when *n* is large, step 2 is done with a recursive call, breaking the half into two smaller halves.\n", + "When *n* is small, then step 2 can be done directly by the inefficient algorithm. But when *n* is large, step 2 is done with a recursive call, breaking each half into two smaller pieces.\n", + "Here's an example with six cities. We split them into two halves of 3 cities each, for which we can easily create tours:" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "d, a, b, e, c, f = Cities(6)\n", "\n", - "Let's work out by hand an example with a small map of just six cities. Here are the cities:" - ] - }, - { - "cell_type": "code", - "execution_count": 90, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAQ4AAAEACAYAAABCu5jVAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nrkJggg==\n", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "cities = Cities(6)\n", + "half1, half2 = [c, a, b], [d, e, f]\n", "\n", - "plot_labeled_lines(cities)" + "plot_tour(half1, 'bo-')\n", + "plot_tour(half2, 'gs-')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Step 1 is to divide this set in half. I'll divide it into a left half (blue circles) and a right half (black squares):" + "Now to join the two halves together, the first thing I do is delete a link from each half. There are 3 × 3 ways to do that; here's one:" ] }, { "cell_type": "code", - "execution_count": 91, - "metadata": { - "collapsed": false - }, + "execution_count": 50, + "metadata": {}, "outputs": [ { "data": { - "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -3299,28 +1584,27 @@ } ], "source": [ - "plot_labeled_lines(list(cities), 'bo', [3, 4, 0], 'ks', [1, 2, 5])" + "plot_segment(half1, 'bo-')\n", + "plot_segment(half2, 'gs-')\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Step 2 is to find a tour for each half:" + "Now I connect the two halves back together. There are two ways to do that; this is the better way:" ] }, { "cell_type": "code", - "execution_count": 92, - "metadata": { - "collapsed": false - }, + "execution_count": 51, + "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -3328,65 +1612,31 @@ } ], "source": [ - "plot_labeled_lines(list(cities), 'bo-', [0, 3, 4, 0], 'ks-', [1, 2, 5, 1])" + "plot_tour(half1 + half2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Step 3 is to combine the two halves. We do that by choosing an edge from each half to delete (the edges marked by red dashes) and replacing those two edges by two edges that connect the halves (the blue dash-dot edges). Note that there are two choices of ways to connect the new dash-dot lines. Pick the one that yields the shortest tour." + "Now we have a feel for what we have to do. I'll call the divide and conquer algorithm `divide_tsp`. If the size of the set of cities is *n* or less, then find the shortest tour using `alltours_tsp`. If there are more than *n* cities, then split the cities in half (with `split_cities`), find a tour for each half (using `divide_tsp` recursively), and join the two tours together (with `join_tours`): " ] }, { "cell_type": "code", - "execution_count": 93, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# One way to connect the two segments, giving the tour [1, 3, 4, 0, 2, 5]\n", - "plot_labeled_lines(list(cities), 'bo-', [0, 3, 4], 'ks-', [1, 2, 5],\n", - " 'b-.', [0, 1], [4, 5],\n", - " 'r--', [0, 4], [1, 5])" - ] - }, - { - "cell_type": "markdown", + "execution_count": 52, "metadata": {}, - "source": [ - "Now we have a feel for what we have to do. Let's define the divide and conquer algorithm, which we will call `dq_tsp`. Like all `tsp` algorithms it gets a set of cities as input and returns a tour. If the size of the set of cities is 3 or less, then just listing the cities in any order produces an optimal tour. If there are more than 3 cities, then split the cities in half (using `split_cities`), find a tour for each half (using `dq_tsp` recursively), and join the two tours together (using `join_tours`): " - ] - }, - { - "cell_type": "code", - "execution_count": 94, - "metadata": { - "collapsed": false - }, "outputs": [], "source": [ - "def dq_tsp(cities):\n", - " \"\"\"Find a tour by divide and conquer: if number of cities is 3 or less,\n", - " any tour is optimal. Otherwise, split the cities in half, solve each\n", - " half recursively, then join those two tours together.\"\"\"\n", - " if len(cities) <= 3:\n", - " return Tour(cities)\n", + "def divide_tsp(cities, n=6):\n", + " \"\"\"Find a tour by divide and conquer: if number of cities is n or less, try all tours.\n", + " Otherwise, split the cities in half, solve each half recursively, \n", + " then join those two tours together.\"\"\"\n", + " if len(cities) <= n:\n", + " return alltours_tsp(cities)\n", " else:\n", - " Cs1, Cs2 = split_cities(cities)\n", - " return join_tours(dq_tsp(Cs1), dq_tsp(Cs2))\n", + " half1, half2 = split_cities(cities)\n", + " return join_tours(divide_tsp(half1), divide_tsp(half2))\n", " \n", "# TO DO: functions: split_cities, join_tours" ] @@ -3395,126 +1645,50 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Let's verify that `dq_tsp` works for three cities:" + "How do we split a set of cities? My approach is to imagine drawing an axis-aligned rectangle that is just big enough to contain all the cities. If the rectangle is wider than it is tall, then order all the cities by *x* coordinate and split that ordered list in half. If the rectangle is taller than it is wide, order and split the cities by *y* coordinate. " ] }, { "cell_type": "code", - "execution_count": 95, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "3 city tour with length 1203.4 in 0.000 secs for dq_tsp\n" - ] - } - ], - "source": [ - "plot_tsp(dq_tsp, Cities(3))" - ] - }, - { - "cell_type": "markdown", + "execution_count": 53, "metadata": {}, - "source": [ - "If we have more than 3 cities, how do we split them? My approach is to imagine drawing an axis-aligned rectangle that is just big enough to contain all the cities. If the rectangle is wider than it is tall, then order all the cities by *x* coordinate and split that ordered list in half. If the rectangle is taller than it is wide, order and split the cities by *y* coordinate. " - ] - }, - { - "cell_type": "code", - "execution_count": 96, - "metadata": { - "collapsed": false - }, "outputs": [], "source": [ "def split_cities(cities):\n", " \"Split cities vertically if map is wider; horizontally if map is taller.\"\n", - " width, height = extent([c.x for c in cities]), extent([c.y for c in cities])\n", - " key = 'x' if (width > height) else 'y'\n", - " cities = sorted(cities, key=lambda c: getattr(c, key))\n", - " mid = len(cities) // 2\n", + " width = extent(cities, key=X)\n", + " height = extent(cities, key=Y)\n", + " cities = sorted(cities, key=(X if (width > height) else Y))\n", + " mid = len(cities) // 2\n", " return frozenset(cities[:mid]), frozenset(cities[mid:])\n", "\n", - "def extent(numbers): return max(numbers) - min(numbers)" + "def extent(items, key): return max(map(key, items)) - min(map(key, items))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Let's show that split_cities is working:" + "Now for the tricky part: joining two tours together. First we consider all ways of deleting one link from each of the two tours. If we delete a link from a tour we get a segment. We are representing segments as lists of cities, the same surface representation as tours. But there is a difference in their interpretation. The tour `[c, a, b]` is a triangle of three links, but the segment `[c, a, b]` consists of only two links, from `c` to `a` and from `a` to `b`. The segments that result from deleting a link from the tour `[c, a, b]` are:\n", + "\n", + " [c, a, b], [a, b, c], [b, c, a]\n", + "\n", + "You may recognize these as the *rotations* of the segment `[c, a, b]`. So any candidate combined tour consists of taking a rotation of the first tour, and appending to it a rotation of the second tour, with one caveat: when we go to append the two segments, there are two ways of doing it: either keep the second segment as is, or reverse the second segment." ] }, { "cell_type": "code", - "execution_count": 97, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "Cs1, Cs2 = split_cities(cities)\n", - "plot_tour(dq_tsp(Cs1))\n", - "plot_tour(dq_tsp(Cs2))" - ] - }, - { - "cell_type": "markdown", + "execution_count": 54, "metadata": {}, - "source": [ - "Now for the tricky part: joining two tours together. First we consider all ways of deleting one edge from each of the two tours. If we delete a edge from a tour we get a segment. We are representing segments as lists of cities, the same surface representation as tours. But there is a difference in their interpretation. The tour `[0, 2, 5]` is a triangle of three edges, but the segment `[0, 2, 5]` consists of only two edges, from `0` to `2` and from `2` to `5`. The segments that result from deleting an edge from the tour `[0, 2, 5]` are:\n", - "\n", - "
\n",
-    "[0, 2, 5],    [2, 5, 0],    [5, 0, 2]\n",
-    "
\n", - "\n", - "You may recognize these as the *rotations* of the segment `[0, 2, 5]`. So any candidate combined tour consists of taking a rotation of the first tour, and appending to it a rotation of the second tour, with one caveat: when we go to append the two segments, there are two ways of doing it: either keep the second segment as is, or reverse the second segment.\n", - "\n", - "**Note:** In Python, `sequence[::-1]` means to reverse the sequence." - ] - }, - { - "cell_type": "code", - "execution_count": 98, - "metadata": { - "collapsed": false - }, "outputs": [], "source": [ "def join_tours(tour1, tour2):\n", " \"Consider all ways of joining the two tours together, and pick the shortest.\"\n", " segments1, segments2 = rotations(tour1), rotations(tour2)\n", - " tours = [s1 + s2\n", - " for s1 in segments1\n", - " for s in segments2\n", - " for s2 in (s, s[::-1])]\n", - " return shortest_tour(tours)\n", + " return shortest_tour(s1 + s2\n", + " for s1 in segments1\n", + " for s in segments2\n", + " for s2 in (s, s[::-1]))\n", "\n", "def rotations(sequence):\n", " \"All possible rotations of a sequence.\"\n", @@ -3526,171 +1700,85 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Let's see if it works, first on the 6 city example:" + "As usual, we can define an **improved** version:" ] }, { "cell_type": "code", - "execution_count": 99, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "6 city tour with length 1431.7 in 0.000 secs for dq_tsp\n" - ] - } - ], - "source": [ - "plot_tsp(dq_tsp, Cities(6))" - ] - }, - { - "cell_type": "markdown", + "execution_count": 55, "metadata": {}, - "source": [ - "That is indeed the optimal tour, achieved by deleting the two dashed red lines and adding the dotted blue lines.\n", - "\n", - "Now for the USA map:" - ] - }, - { - "cell_type": "code", - "execution_count": 100, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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fCZbpRYSdgI5ALz/mD35v6vw98Bl1JwJ5FvlPRFMXr38WsBXwsFfIrU6IFJeK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\nj37LZOQPS8ozaqDKt8DdItw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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "80 city tour with length 14883.2 in 0.142 secs for dq_tsp\n" - ] - } - ], - "source": [ - "plot_tsp(dq_tsp, USA_map)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Not quite as good as `altered_greedy_tsp`. Let's alter it!" - ] - }, - { - "cell_type": "code", - "execution_count": 101, - "metadata": { - "collapsed": false - }, "outputs": [], "source": [ - "def altered_dq_tsp(cities): return alter_tour(dq_tsp(cities))" + "def improve_divide_tsp(cities): return improve_tour(divide_tsp(cities))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Let's divide and conquer! First the 6 cities, then the USA:" ] }, { "cell_type": "code", - "execution_count": 102, - "metadata": { - "collapsed": false - }, + "execution_count": 56, + "metadata": {}, "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "divide, 3: 6 cities ⇒ tour length 1922 (in 0.000 sec)\n" + ] + }, { "data": { - "image/png": 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0DmmsU1LF7TfV7PNU0HFBn/eqZQzfbGXQN0EvCKbvygWJgj5HleULv0Kr6S0G\nZih/bbKqqBchNRxX2OZMrVZx+5zwR2AjLmlcWqjyvgh/BUaK0E6V4gz7PILQz9wOl+lFhKZAW6BH\nEP2Hvza1r5kHjGoSg3kW/hfhURcyej6wA/CUV3GsWogUFIp0GCrSc7z7LChMbz2aAn8B/qAZVhxT\n5VHgPWBINWSPwGS8zOs75JlLgWGq/BxQ/yEnck74mknQQ5tsW5BDWNA6oO+DDqqODT9T2ctnlL1+\nKUy6JwvZt/Nkvz3D9ZaBNg36vKd3bM94B25cE6TpBZft9lvQg4M+JmFtYfQxWUtwnoIWICc78etD\ntOcE6L8OnuruX9+6E+g00DsyXzf9mySxYrkg2/kjDb35Iz3SXL6J50wPrXO7grxngr4UsAxdQScH\nfSzC3GDUVXDtRvNZhLvFwGdR3iYrwuXAlcAIf/rmfyKcDLwnwv9UMwlL3XOv9Iffiey6/94X5lfb\nrqvKShG64+ohf6XKFylWaQNMVc1/veYcUR9YG7AMfwAeD1iG0CJCAZzWH9b0gs6n52pulJF7YqEs\nKvA00F+Eo1T50I8OVVntpTZ/31MYKR3O7iZp2iJ9R2x+7LqqfCrCtcCrIrRVZU0Vi0fAuV2OAsjY\ngZ8zRNgTOBo4NygZIkARMEb1wpfgwoTzhIxwEAMHd3nU1Ve+E/ibz/1+C5wE3CbC2VUtK0JDYCL0\nequyI/aabxM7YvPnyFflWeAV4HlvYlQyIuDcLkfQI4tLgBdUK504AxChDXAWIZ7gaZQSO2Xh8TTQ\n3O/04qp8BZwKPCRCl0TLiNAcN5N6JBx2MYzs5LJr9pgAl74H/bZA8XeV18x7hE9fYAsuNUgiuYXo\nKYsCAlIWItTCRUGZCSoB3vF5FLg5xWjWCAlxNEOhyiYRioDbgBN97nuGCN2A10Q4Q5X3Sn4T4RBc\nfYG7VHnEfVs+Bl6Ep3EP7CvLb7d4kUhBJ9jxddi2Dnz2US7tuqpsEeEcYIoIn6vydIVF9gE2qRK6\nNBFVUB9YGFDfnYE1qkwLqH/fKV+hcnkqv8NVwDrgGd8ENLIilsrCYwhwiwjHln1g+4Eqk0U4Dxa+\nInLtFNh2B9i6Ce47HJr/SZXnq1j9GmCGCKdqhSp9TmEwGedkfiwPcv/gKbp3RZijWq5YUNRGFRCs\nGepyMpgsGXUS5+Pq3S5RPi4RmuDmCB0boWCJGk9slYU3urgD57s4wX8JCubD2Ztg+KmlN0+fZfDC\nx1X5XL2XGmMtAAAS8UlEQVToqt/jqvQdopWzyO4BrMqX1KrM9pIOvuw5vJd7P0Wt5jYE5OAWoREu\nYeDv/e47CJyfq/0/q5qFXX7UsVdz6PWcats5wUltZEpslYXHUNzo4nhVJvrbdasieKBR+ZvnwSYw\nO2WoqyrjRXgJeAQ4p8LPDcijsvD6H+mZzF7xjt1GXCTUffnsNw8ENbK4GHhFM0+l4huZmIxEqA80\nxZkiSz7L/t0I2mxNHK13UGuRq9pAt+fKjzqu7CLy6n0WHhsdYq0sVNlcMrrwHno+DnmzDnXtB0wT\n4RxVnivzfQNgdS4kTMGdQGv4/GmRP26GjsfBpB9EPpkToRvc95GFlz7lMqCXn/1mQmKT0TXHibz5\ndzh1RyorhO2Ab4DFZT7HlPl7KUz4D6zvVTkMvF4B1P8Q7tmuwhyh5tnMETICIOhZgfluXrqFeaAd\n/e03+xQGoG1AV5VNP46r+razP/vQ6cAoz6wF/Qp0f5/7PBF0RphnuSe/Nvss9lLw9/FSqh8Ouns6\n+1JV6hoX6adauQWXBdhaNa6boAXwZSfRC7w8SL7dwLnKWQX6V9AxXmr0HUB/8Ws/opqzpzT9yy2/\nwIkv+ancQJ8DvTroY1C1jPlJ4Z4sFXpUryNr5VuszVBlGA7zb4O+Y0V0mzTC+rKmNNR1QVGWKQzu\nAj4EegOjgFWqfpnTopcNNIGJpSf0bp3PKnml9v+9m8IBbeHLu6gy4C1o8pPCPXkq9JkDoHe7CpFS\nQWYBNqpD0NrKj+beeC5fEWFzSgtY8D2c+z7cvNavLKpRfCP0vxhW9UaQ5TMI+5sVN4hMzWEvwGQt\njXMYtAC+7GQEH3rl5a9fCFes9lvZRbGCmd9V8pJfW8cOD/NxdTJcvRAun20Pb2vptBpihoqeOaU8\nrYrgvt39riSWQ1Oaj/hdJS/ZtXXcWSKcAiwr05a6zy5nBl0ZzpvguQKXbuN9P/o0ok0NURbJHiAr\nI5K6IjhlF/6SnBXx2z6e7NoaNxxuvwZo4rU9vc+WsNeBIXl52Q+Y73OfRkSpIcoi0QOk/wZ4bBcR\n6qjyU9ASVk24akqHmfKjoSZ7woEdYNuz8jcaSq6c1M2+/x6YWXYNkUk7JZ6T4N/5FGEnnAAr/OrT\niDai6uM8tQApjVgpMaf8cjtMHQAcBHRTl2I8lCTJu7MARuYtwicuiDACeFmVofnro+K1VbWpLvH5\n7PcTjDlUdZ4vb/oiHA78R5VD/ejPiD41Rlkkwku7fRMueV8PVT4OWKSkZPpAMhxe5cQTVDkvaFnK\nUv58rloOjzeGA78Bfq+a/9BoEc4CzlalZ777MuJBjVYWJYjwO+BJoI8qw4KWx8gdIuwFTAcaqLIl\naHmSIUJdYBzwvio3+dBff2AnVSs8ZKRHXIsfZYQqr+HqXtwpwp1efh8jBnjmxW+BI4OWpSrUVdPr\nCnQV4QYfuvwN8JUP/RgxwR6KHqrMANoCxwIvi3Q+UKTDUJGe491nQWGwEhpZMBpXwTDUqKsYdzLQ\nR4QL89ydRUIZGWHKogyqrAY6wfRf4KDPYGwvePkE99ltnCmMyPImJC5zGzZUWQKcAtyTrDRvjjBl\nYWSEKYsKqLIRrtwEd25XedJUq6IgZTOqzUe4muyNgxYkHVSZDZwO/FeEdrnctkhBochxz8GtDeCo\nu+0FyEgXUxYJifqMb6MsqmwCxuLe2COBKh/hiii9KkLLXGyzNGR39Nlwxzbwto2YjbQxZZGQkklw\nZQlmEpx7EzTfSQ6IhN+iLKqMBv4MjBFh7+y32KoocZoRGzEbqakhM7gzJdGs3OtX+Z1SOclkvHb5\nTLcdY8YA/xRhW2+kEQlUGSJCA+AtkQvOgwU3plMKNTHJRsyHthXhMGBGmMOLjWAxZZGAygn0NqyD\nh4+Cx7bzV5LD7w464VxcUGWFCAuB9sB7QcuTCarcJzL1N7DrR/DoDtV/cUiWNmYbgGFAIxE+AN71\n2meqbM7dnhhRxpRFEiom0BPhKmCYCB1U+SXX/YmwK3AYcHhpO2Y/853klNG4qKhIKQtHn3rw9g7Z\nvTgky2M18iTVfy0SoSEudPw44CJgHxE+olR5TM3HtW9EA1MW6fNvnM37b0C/bDbk3ZSHV2i7AZ8D\n03ChnnfChH6w/jxLIJgzRgOPAX2DFiRzGmUddJEq5bwqK4EXvYYIuwPH4JTHv4D9RPiYUuUxRZUN\nZfsoTWNSXVOZEVYs3UcGeLbjz2H4DTDotFQ3hJd7ai8qK4YdcUqhbJuvytby6yfyWVy7HJ7vYDdg\n5ohQC1gJtA5z4siKiNAJbn4e/rJr5ReHzs+qTvLFJCnCzsDROOVxHHAg8Cm/Ko9jlkLhKEt4GU9M\nWWSIyEsXwaQn4I7aFW8IKK5FZcWwFXdDlVUMi9NNFlc+4VwthYHNYL8WZg6oHiI8C0xUZXDQsqRC\nhCOAgcA+MPpBGH5dmB7EItQHjuJX5fHXI+Cm2kEqNCN/mLLIEJEOQ92M7oo3xN9/gdtXUnnEsDyX\nWURFeAMYr8p9udpmTUKE84GeqnQPWpZkiNACKMI54/+GSyW+KeyZh0XOnAgvHlf5lx4TVF/p6LtA\nRk4xn0XGJAs//PJjVY71QYDrgQ9FGOrZmI3MeAv4lwjbBTk6S2Tbh+LNwG1AN+Ae4MKyhbnCX7Vw\n6bdWpCu+2KS8jEk2YW/JN370rsqXwNO4N08jQ7z8X3NwtvdAKPVFlc09dv5nsPALYDWwvyr/CH8F\nx4qc+QzcuqX0/sh3SVvDT8wMlSFhqFrnHI0L50GfT2C7HS3qJDNE+AtQoMqNwfSfzJR5+iuqYyNb\njEiEYTDpG7hxr7CayozqY2aoDEkVfugPBTvDuQrPdbGZ3dViNPAMBKMskpsy6+8ShDS5QIT9gc7Q\nYV/VScVBy2PkHlMW1SB423GrIri/gc3srjbTgN1EaKbK1/53n2wmdaRt+32Bh1UxRRFTzGcRSZK9\nmTbbLwhpooY3n2UMgSUWnDnAmS7jYdsXoRDnlB8UsChGHrGRRSRJ9mba7BARPgQGAy9Ez0HqK6Nx\no7BH/O641JS5xwfwvzUw54uI2/ZvAh5X5fugBTHyhzm4I0hyJ/vHp8C8VsDluBj94cBgVT4PUNxQ\nIsIuwGKgQcWUFT7KMAIYosorQfSfC0RoAswEWqiyKmh5jPxhI4sIksLJPh9XMGdv4BLgNRFW4kYb\nw1VZG6DooUGVH0SYjpt9/FZAYmwm+vfgjcDTpijij40sYo6XD+kk3GjjBOBlnOKYksuZ5VFEhP5A\nQ1X6BNT/cOB1VYYF0X+2iLAH8CVwsCpLg5bHyC/m4I45qmxR5U1VegAtcSOPYcB0Ef7kmWNqKkFX\nz4v6yOJanG/MFEUNwJRFDUKVFarcDfwGuA43i/lrEZ4R4RgvS25NYjpQT4TfBNT/ZqBWQH1nhfeS\n0Rv4e9CyGP5gyqIGospWVd5R5RxgP1wdjceB2SLc4JkXYo9nhgtydBHlkcWfcCa0AOapGEFgyqKG\no8p3qtyPq01wOXAI8JUIz4vQSST210hJ9bwgiKSy8FKTX4NLn27UEOL+IDDSRBVV5QNVLgIKcaVH\n78Mpjn4iNA5UwPwxDjhKhDoB9B0pZSFSUOjyWl31GfRZDwUbg5bJ8I/IXKiGf6jyIy6N9yPAEbgR\nx2wRJuIiqd5SZUuAIuYMVYpFmIqLFHvD5+634PM9WN2yp4nn9nw/zvKR1RxsZGEkxRttTFHlcmAf\nnMnmNpxT/DYR9glUwNwRlCnK15FF4tTo3ca571PRqqhUUUBpPrJWliq/hmDKwkgLVdaqMliVtsBv\ngd2Bz0QYLUJ3EbYNWMRsGA10CSAazGczVDYP/GT5yBo1ya2MRlgxM5SRMapMB/4kwk3AGbjqfY+I\n8B/gSVUWBCpg5szGvTi1wBVGyjvubf6c02C7uiLTDso2N5QIOwANy7QGlf8/rm31H/ixzJRrZIAp\nC6PaeIkKnwGeEeFA4DJgspdGYzDwqiqhd4KqoiKfvQ+Dhor873/5LiZVag76Z4n9v1nFeiTeKKc+\nSR/8lf7fAVgFrCzzuRJYBExxf8/oA+u7Vu+BP3MA9G5XOR9ZNDPlGplj6T6MnCLC9kB3nFP8YGAI\nLpnh3EAFqwL38D77I3igkR/VD5NXyrt1Kdy/jFJlsIXSh35ZBZDo//+lSt+S2El91dcwomP6Tu6O\nj0KLDvDeaxHPlGtkiCkLI2+IsB9wKXAxLs3IYOBFVX4OUq6KJH94d35WdVLOi0mJ9BzvHMwVufQL\nePIPeMpAtVKx9xz0XRIN1agJNN4Tfv+uaps/pL8+dYDvgF2DytZrBIOZoYy8ocp8oJ9X87orbrTx\nT1ermcGqzMhFP9UNBy3Fb+dtMvv/nBmqTM5Pn46yVR69uTMzRbhDlSXprc9PInwJHAp8nDdBjdBh\n0VBG3lFlkyojVOkCHA58D7whwsciXCZCvZJlSyZ+ifQc7z6rDuvMLhy0hDo7UuklPp/O23BUylNl\nOfAY8NcMV50CtM29REaoUS+Y3po1PxtoLdDTQF8F/QH0cXj8d3D+fFinoOo+z58P9QsrrFsHtDlo\nBzj73dLltcx67YemKUdTWLAGfv9Nqn5zu//1C6H9UOg+3n3mr68U+78z6GrQFhmscynokKCvIWv+\nNjNDGYGgbgb4G7gRRhPgYvj6WXi0XuV5ALtOFOEboJHXtgVWuLbXftU1IXl5r56C5v+Al56HuYmK\nSeWFsuagIFHlRxHuAYpwYdDpMAVXStWoQZiyMAJHlWXAXSJfdoa6x5f/tS7w0zrgVn5VEBSrusgf\nkUlDYX0C53RaJqSrgDrAvarFWwjBwzsgHgbmiXCEKp+ksfxsoIkIu6jyQ55lM0KC+SyMELF8aWLf\nwazPVXlXlS9VK4aIVs/+79Ww+CtwkcYkz1V1UTdf5nbSzCLrHa9pQJt8ymWECwudNUJD4nkAqec7\nlEZDtToM6u0ETxxd9fLUAt7H1SQflNu9iCZeupZZwFWqjEtj+XuAH1W5M+/CGaHAlIURKsrPA8jM\ndyBCXWAJ0MozbSVb7ibgFKCTKltzIXccEOEsnC/iiPKjt4TLngFcoEo3X4QzAseUhRErRHgcWKiu\nfGyi31sBE3APxEV+yhZ2PIf/J8BAVV5Ksew+OEd341SKxYgH5rMw4saTwCWJMsh6ppZngL6mKCrj\njbL6AUUiKYNfSibx7Z1fqYywYMrCiBtTgE3A0Ql+uwVYDjzlq0TRYiywDLioqoW80YRNzqtBmLIw\nYoX3EHsKuKTs9yL8H3AlcLmZTZLjHZv+wG0i7JhicVMWNQhTFkYcGQp0F6E+/Frr4Rng2qoc34ZD\nlckwaxZc8kGKtCumLGoQ5uA2YokII4BRqjwpwj+AZsBZNqpIjVMMZ7wHg/auKoRZhF2BxcDONX2u\nSk3AlIURS0RevRQmDYSVS2DvlrDsaNWnpgUtVxTIJGW7CPOAHqrM9FVIw3cs3YcRO9yb8en94N97\nQN09vDfjF8pWojOqIqOU7SWmKFMWMcd8FkYMaVUE/963ckLCVkVBShUdSuptlCVpvi3zW9QQTFkY\nMcTvYkZxI1G+rb7rkuTbMmVRQzAzlBFDklWiy1cxo3ihWrxIpKATLPDSrny3Ep5sDYM6UnmOyudA\nCxF21JCVyzVyizm4jdhR3YSERnJEOBB4FzhWlTkVfpsKXKPKpECEM3zBlIURS7JJSGgkRoQ/4GqA\ntFNlQ5nvHwHmqfJAYMIZeceUhWEYaeHl23oBWKZKnzLfXwycpMp5Qclm5B9zcBuGkRbehMY/AN1E\n+G2Zn8zJXQOwkYVhGBkhwlHAy8D/qbLUKyb1A9BMlTXBSmfkCxtZGIaREap8iKvbPUSEWl6qj6nA\nEcFKZuQTUxaGYVSHgbjnR1/vfzNFxRwzQxmGUS1E2As3ougBNAIuUaVrsFIZ+cJGFoZhVAtVvsU5\nvIcB84C2iSoUGvHARhaGYWSFCINwI4ujgA5WsjaemLIwDCMrXHGpr6bB0P1h2VyY9blNgowflhvK\nMIwsKWgEPevCw7Wg7kGw/iDo3c5SwscL81kYhpElrYrg4X0sJXy8MWVhGEaWWEr4moApC8MwsiSj\nYklGRDFlYRhGliQqltR7QZJiSUZEsWgowzCyxlLCxx9TFoZhGEZKzAxlGIZhpMSUhWEYhpESUxaG\nYRhGSkxZGIZhGCkxZWEYhmGkxJSFYRiGkRJTFoZhGEZKTFkYhmEYKTFlYRiGYaTElIVhGIaRElMW\nhmEYRkpMWRiGYRgpMWVhGIZhpMSUhWEYhpESUxaGYRhGSkxZGIZhGCkxZWEYhmGkxJSFYRiGkRJT\nFoZhGEZKTFkYhmEYKTFlYRiGYaTElIVhGIaRElMWhmEYRkpMWRiGYRgpMWVhGIZhpMSUhWEYhpES\nUxaGYRhGSkxZGIZhGCkxZWEYhmGkxJSFYRiGkRJTFoZhGEZKTFkYhmEYKTFlYRiGYaTElIVhGIaR\nElMWhmEYRkpMWRiGYRgp+X8tJqUfXSTwBwAAAABJRU5ErkJggg==\n", + "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "80 city tour with length 14209.6 in 0.109 secs for altered_dq_tsp\n" - ] } ], "source": [ - "plot_tsp(altered_dq_tsp, USA_map)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Let's just remind ourselves how the algorithms behave on the standard test cases:" + "do(bind(divide_tsp, 3), Cities(6))" ] }, { "cell_type": "code", - "execution_count": 103, - "metadata": { - "collapsed": false - }, + "execution_count": 57, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - " nn_tsp | 5668 ± 488 ( 4674 to 6832) | 0.001 secs/map | 30 ⨉ 60-city maps\n", - " greedy_tsp | 5392 ± 306 ( 4554 to 5967) | 0.002 secs/map | 30 ⨉ 60-city maps\n", - " dq_tsp | 5268 ± 236 ( 4743 to 5752) | 0.042 secs/map | 30 ⨉ 60-city maps\n", - " altered_dq_tsp | 4953 ± 221 ( 4575 to 5399) | 0.049 secs/map | 30 ⨉ 60-city maps\n", - " altered_nn_tsp | 4820 ± 233 ( 4450 to 5346) | 0.008 secs/map | 30 ⨉ 60-city maps\n", - " altered_greedy_tsp | 4766 ± 207 ( 4320 to 5185) | 0.009 secs/map | 30 ⨉ 60-city maps\n", - " repeated_altered_nn_tsp | 4640 ± 194 ( 4298 to 4991) | 0.148 secs/map | 30 ⨉ 60-city maps\n" + "improve_divide: 80 cities ⇒ tour length 14117 (in 0.138 sec)\n" ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ - "algorithms = [nn_tsp, greedy_tsp, dq_tsp, altered_dq_tsp, altered_nn_tsp, altered_greedy_tsp, \n", - " repeated_altered_nn_tsp]\n", - "\n", - "benchmarks(algorithms)" + "do(improve_divide_tsp, USA)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Of the non-altered algorithms (the first three lines), divide and conquer (`dq_tsp`) does best. But interestingly, divide and conquer is helped less by `alter_tour` than is the greedy algorithm or nearest neighbor algorithm. Perhaps it is because divide and conquer constructs its tour by putting together pieces that are already good, so `alter_tour` is less able to improve it. ALso, `dq_tsp` has a standard deviation that is much smaller than the other two—this suggests that `dq_tsp` is not producing really bad tours that can be easily improved by `alter_tour`. In any event, `altered_dq_tsp` is the worst of the `altered` algorithms, both in average tour length and in run time. \n", + "Divide and conquer performs adequately, but not exceptionally. \n", "\n", - "`repeated_altered_nn_tsp` remains the best in tour length, although the worst in run time." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ "# Shoulders of Giants: Minimum Spanning Tree Algorithm: `mst_tsp`\n", "\n", "\n", @@ -3699,158 +1787,76 @@ "
Joseph Kruskal (Wikipedia)
\n", "\n", "\n", - "I hope you now believe that you could have come up with some ideas for solving the TSP. But even if you can't come up with something all on your own, you can always [Google it](http://bit.ly/XNGt2y), in which case you'll no doubt find a giant of a mathematician, [Joseph Kruskal](http://en.wikipedia.org/wiki/Joseph_Kruskal), who, in 1956, \n", - "published [a paper](http://www.cmat.edu.uy/~marclan/TAG/Sellanes/Kruskal.pdf) that led to an algorithm that\n", - "most people would not have thought of on their own\n", - " (I know I wouldn't have):\n", + "I hope you now believe that you could have come up with some ideas for solving the TSP, using the set of **strategies**. But even if you can't come up with something all on your own, you can follow the **Stand on the Shoulders of Giants Strategy**, also known as the **[Just Google it Strategy](http://bit.ly/XNGt2y)**, in which case you'll no doubt find a giant of a mathematician, [Joseph Kruskal](http://en.wikipedia.org/wiki/Joseph_Kruskal), who, in 1956, published [a paper](http://www.cmat.edu.uy/~marclan/TAG/Sellanes/Kruskal.pdf) that led to an algorithm that\n", + "most people would not have thought of on their own (I know I wouldn't have):\n", "> **Minimum Spanning Tree Traversal Algorithm:** *Construct a Minimum Spanning Tree, then do a pre-order traversal. That will give you a tour that is guaranteed to be no more than twice as long as the minimal tour.* \n", "\n", - "What does all this jargon mean? It is part of *graph theory*, the study of vertexes and edges. Here is a glossary of terms:\n", + "What does all this jargon mean? It is part of *[graph theory](https://en.wikipedia.org/wiki/Graph_theory)*, the study of vertexes and links. Here is a glossary of terms:\n", "\n", - "* A **graph** is a collection of vertexes and edges.\n", + "* A **graph** is a collection of vertexes and links.\n", "* A **vertex** is a point (such as a city).\n", - "* An **edge** is a link between two vertexes. Edges have lengths.\n", + "* A **link** is an edge between two vertexes. Links have lengths.\n", "\n", - "* A **directed graph** is a graph where the edges have a direction. We say that the edge goes from the **parent** vertex to the **child** vertex.\n", + "* A **directed graph** is a graph where the links have a direction. We say that the link goes from the **parent** vertex to the **child** vertex.\n", "\n", "* A **tree** is a directed graph in which there is one distinguished vertex called the **root** that has no parent; every other vertex has exactly one parent. \n", "\n", "* A **spanning tree** (of a set of vertexes) is a tree that contains all the vertexes. \n", "\n", - "* A **minimum spanning tree** is a spanning tree with the smallest possible sum of edge lengths.\n", + "* A **minimum spanning tree** is a spanning tree with the smallest possible sum of link lengths.\n", "\n", "* A **traversal** of a tree is a way of visiting all the vertexes in some order.\n", "\n", "* A **pre-order traversal** means that you visit the root first, then do a pre-order traversal of each of the children.\n", "\n", - "* A **guarantee** means that, no matter what set of cities is selected, the tour found by the minimum spanning tree traversal algorithm will never be more than twice as long as the shortest possible tour. None of the other algorithms has any guarantee at all (except for `alltours_tsp`, which is guaranteed to find the optimal algorithm, if it has enough time to complete).\n", + "* A **guarantee** means that, no matter what set of cities you consider, the tour found by the minimum spanning tree traversal algorithm will never be more than twice as long as the shortest possible tour. None of the other algorithms has any guarantee at all (except for `alltours_tsp`, which is guaranteed to find the optimal algorithm, if it has enough time to complete).\n", "\n", - "We will implement a vertex as a Point, and a directed graph as a dict of `{parent: [child, ...]}` pairs. \n", - "\n", - "Visualizing Graphs and Trees\n", - "---\n", - "\n", - "I think we will need visualization right away, so before doing anything else I will define `plot_graph`. I will make it plot in red so that we can easily tell a tour (blue) from a graph (red)." - ] - }, - { - "cell_type": "code", - "execution_count": 104, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "def plot_graph(graph):\n", - " \"Given a graph of the form {parent: [child...]}, plot the vertexes and edges.\"\n", - " vertexes = {v for parent in graph for v in graph[parent]} | set(graph)\n", - " edges = {(parent, child) for parent in graph for child in graph[parent]}\n", - " for edge in edges:\n", - " plot_lines(edge, 'ro-')\n", - " total_length = sum(distance(p, c) for (p, c) in edges)\n", - " print('{} node Graph of total length: {:.1f}'.format(len(vertexes), total_length))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Let's try it out:" - ] - }, - { - "cell_type": "code", - "execution_count": 105, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "8 node Graph of total length: 10.9\n" - ] - }, - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "Ps = [Point(0, 0.1), \n", - " Point(-2, -1), Point(0, -1), Point(2, -1), \n", - " Point(-2.9, -1.9), Point(-1, -1.9), Point(1, -1.9), Point(2.9, -1.9)]\n", - "\n", - "Ptree = {Ps[0]: Ps[1:4], Ps[1]: Ps[4:6], Ps[3]: Ps[6:8]}\n", - "\n", - "plot_graph(Ptree)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now our plan is:\n", + "We will implement a directed graph as a dict of `{parent: [child, ...]}`. Now our plan is:\n", "\n", "1. Implement an algorithm to create a minimum spanning tree.\n", "2. Implement a tree traversal; that will give us our `mst_tsp` algorithm.\n", - "3. Understand the guarantee, \n", + "3. Understand the guarantee.\n", "\n", - "Creating a Minimum Spanning Tree (`mst`)\n", - "---\n", + "# Creating a Minimum Spanning Tree (`mst`)\n", "\n", - "Now let's see how to create a minimum spanning tree (or MST). Kruskal has a very nice algorithm to find MSTs, but with what we have done so far, it will be a bit easier to implement another Giant's algorithm:\n", "\n", - "> **[Prim's algorithm for creating a MST](http://en.wikipedia.org/wiki/Prim%27s_algorithm):** *List all the edges and sort them, shortest first. Initialize a tree to be a single root city (we'll arbitrarily shoose the first city). Now repeat the following until the tree contains all the cities: find the shortest edge that links a city (A) that is in the tree to a city (B) that is not yet in the tree, and add B to the list of A's children in the tree.*\n", + "Now let's see how to create a minimum spanning tree (or MST). Kruskal has a very nice algorithm to find MSTs, but with what we have done so far, it will be a bit easier to implement [another Giant](https://en.wikipedia.org/wiki/Robert_C._Prim)'s algorithm:\n", "\n", - "Here's the code. One tricky bit: In the first line inside the `while` loop, we define `(A, B)` to be an edge in which one of `A` or `B` is in the tree, using the exclusive-or operator, `^`. Then in the next line, we make sure that `A` is the one that is in the tree and B is not, by swapping if necessary." + "> **[Prim's algorithm for creating a MST](http://en.wikipedia.org/wiki/Prim%27s_algorithm):** *List all the links and sort them, shortest first. Initialize a tree to be a single root city (we'll arbitrarily choose the first city). Now repeat the following until the tree contains all the cities: find the shortest link that links a city (A) that is in the tree to a city (B) that is not yet in the tree, and add B to the list of A's children in the tree.*\n", + "\n", + "Here's the code. One tricky bit: In the first line inside the `while` loop, we assign `(A, B)` to be a link in which exactly one of `A` or `B` is in the tree, using the exclusive-or operator, `^`. Then in the next line, we make sure that `A` is the one that is in the tree and B is not, by swapping if necessary." ] }, { "cell_type": "code", - "execution_count": 106, - "metadata": { - "collapsed": true - }, + "execution_count": 58, + "metadata": {}, "outputs": [], "source": [ "def mst(vertexes):\n", - " \"\"\"Given a set of vertexes, build a minimum spanning tree: a dict of the form {parent: [child...]}, \n", - " where parent and children are vertexes, and the root of the tree is first(vertexes).\"\"\"\n", + " \"\"\"Given a set of vertexes, build a minimum spanning tree: a dict of the form \n", + " {parent: [child...]}, spanning all vertexes.\"\"\"\n", " tree = {first(vertexes): []} # the first city is the root of the tree.\n", - " edges = shortest_edges_first(vertexes)\n", + " links = shortest_links_first(vertexes)\n", " while len(tree) < len(vertexes):\n", - " (A, B) = shortest_usable_edge(edges, tree)\n", + " (A, B) = first((A, B) for (A, B) in links if (A in tree) ^ (B in tree))\n", + " if A not in tree: (A, B) = (B, A)\n", " tree[A].append(B)\n", " tree[B] = []\n", - " return tree\n", - "\n", - "def shortest_usable_edge(edges, tree):\n", - " \"Find the ehortest edge (A, B) where A is in tree and B is not.\"\n", - " (A, B) = first((A, B) for (A, B) in edges if (A in tree) ^ (B in tree)) # ^ is \"xor\" \n", - " return (A, B) if (A in tree) else (B, A)" + " return tree" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Let's see what a minimum spanning tree looks like:" + "Let's see what a minimum spanning tree looks like. I'll plot trees in red so that we can tell a tree from a tour." ] }, { "cell_type": "code", - "execution_count": 107, - "metadata": { - "collapsed": false - }, + "execution_count": 59, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -3861,9 +1867,9 @@ }, { "data": { - "image/png": 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xW5SHyKlAHaqH+g4llzqRpXdleNT+DrTeDnNwA7JfAT4+GDb/B3TNsLhqxSzV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\n", 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -3871,325 +1877,170 @@ } ], "source": [ - "plot_graph(mst(USA_map))" + "def plot_graph(graph):\n", + " \"Given a graph of the form {parent: [child...]}, plot vertexes and links.\"\n", + " vertexes = {v for parent in graph for v in graph[parent]} | set(graph)\n", + " links = [(parent, child) for parent in graph for child in graph[parent]]\n", + " total = sum(distance(p, c) for (p, c) in links)\n", + " print('{} node Graph of total length: {:.1f}'.format(len(vertexes), total))\n", + " for link in links:\n", + " plot_segment(link, 'rs-')\n", + "\n", + " \n", + "plot_graph(mst(USA))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "This algorithm clearly produced a spanning tree. It looks pretty good, but how can we be sure the algorithm will *always* produce a minimum spanning tree? \n", + "This looks like a spanning tree. But can we be sure it is a *minimum* spanning tree? \n", "\n", "1. The output is a **tree** because (1) every city is connected by a path from the root, and (2) every city only gets one parent (we only add a B that is not in tree), so there can be no loops. \n", "2. The output is a **spanning tree** because it contains all the cities.\n", - "3. The output is a **minimum spanning tree** because each city was added with the shortest possible edge. Suppose this algorithm produces the tree T. For another putative spanning tree to be shorter, it would have to contain at least one city C whose edge from its parent was shorter than the edge in T. But that is not possible, because the algorithm always chooses the shortest possible edge from C's parent to C.\n", + "3. The output is a **minimum spanning tree** because each city was added with the shortest possible link. Suppose this algorithm produces the tree T. For another putative spanning tree to be shorter, it would have to contain at least one city C whose link from its parent was shorter than the link in T. But that is not possible, because the algorithm always chooses the shortest possible link from C's parent to C.\n", "\n", "\n", + "# Turning a Minimum Spanning Tree into a Tour (`mst_tsp`)\n", "\n", - "**Note:** There are refinements to Prim's algorithm to make it more efficient. I won't bother with them because they complicate the code, and because `mst` is already fast enough for our purposes.\n", - "\n", - "Turning a Minimum Spanning Tree into a Tour (`mst_tsp`)\n", - "---\n", "\n", "Given a minimum spanning tree, we can generate a tour by doing a pre-order traversal, which means the tour starts at the root, then visits all the cities in the pre-order traversal of the first child of the root, followed by the pre-order traversals of any other children." ] }, { "cell_type": "code", - "execution_count": 108, - "metadata": { - "collapsed": false - }, + "execution_count": 60, + "metadata": {}, "outputs": [], "source": [ "def mst_tsp(cities):\n", " \"Create a minimum spanning tree and walk it in pre-order, omitting duplicates.\"\n", - " return preorder_traversal(mst(cities), first(cities))\n", + " return Tour(preorder_traversal(mst(cities), first(cities)))\n", "\n", "def preorder_traversal(tree, root):\n", " \"Traverse tree in pre-order, starting at root of tree.\"\n", - " result = [root]\n", + " yield root\n", " for child in tree.get(root, ()):\n", - " result.extend(preorder_traversal(tree, child))\n", - " return result" + " yield from preorder_traversal(tree, child)\n", + " \n", + "def improve_mst_tsp(cities): return improve_tour(mst_tsp(cities))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "To better understand pre-order traversal, let's go back to the `Ptree` example, and this time label the vertexes:" - ] - }, - { - "cell_type": "code", - "execution_count": 109, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "8 node Graph of total length: 10.9\n" - ] - }, - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "P = [Point(0, 0.1), \n", - " Point(-2, -1), Point(0, -1), Point(2, -1), \n", - " Point(-2.9, -1.9), Point(-1, -1.9), Point(1, -1.9), Point(2.9, -1.9)]\n", - "\n", - "Ptree = {P[0]: P[1:4], P[1]: P[4:6], P[3]: P[6:8]}\n", - "\n", - "plot_graph(Ptree)\n", - "plot_labeled_lines(P)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "A pre-order traversal starting at 0 would go to the first child, 1, then to its children, 4 and 5, then since there are no children of 4 and 5, it would continue with the other children of 0, hitting 2, then 3, and finally the children of 3, namely 6 and 7. So the following should be true:" - ] - }, - { - "cell_type": "code", - "execution_count": 110, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "True" - ] - }, - "execution_count": 110, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "preorder_traversal(Ptree, P[0]) == [P[0], P[1], P[4], P[5], P[2], P[3], P[6], P[7]]" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "And this is what the pre-order traversal looks like as a tour:" - ] - }, - { - "cell_type": "code", - "execution_count": 111, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plot_tour([P[0], P[1], P[4], P[5], P[2], P[3], P[6], P[7]])" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "You can think of this as starting at the root (at the top) and going around the outside of the tree counterclockwise, as if you were walking with your left hand always touching an edge, but skipping cities you have already been to.\n", - "\n", - "We see that the result is a tour, but not an optimal one. \n", + "You can think of this as starting at the root of the tree and going around the outside of the tree, as if you were walking with your hand always touching a link, but skipping cities you have already been to.\n", "\n", "Let's see what `mst_tsp` can do on the USA map:" ] }, { "cell_type": "code", - "execution_count": 112, - "metadata": { - "collapsed": false - }, + "execution_count": 61, + "metadata": {}, "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "mst: 80 cities ⇒ tour length 17924 (in 0.003 sec)\n" + ] + }, { "data": { - "image/png": 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6XR2RWlm4xij3/BumD4GSLXPw9JZWBrcqPwH3inAfcBCuSdFNIrwMDFWf+lZ7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\nV0BQhGuBY4EDVVmRA0GNanh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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, "output_type": "display_data" - }, + } + ], + "source": [ + "do(mst_tsp, USA)" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": {}, + "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "80 city tour with length 17924.5 in 0.004 secs for mst_tsp\n" + "mst: 1089 cities ⇒ tour length 58059 (in 0.843 sec)\n" ] - } - ], - "source": [ - "plot_tsp(mst_tsp, USA_map)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Not so great. Can the alteration strategy help?" - ] - }, - { - "cell_type": "code", - "execution_count": 113, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "def altered_mst_tsp(cities): return alter_tour(mst_tsp(cities))" - ] - }, - { - "cell_type": "code", - "execution_count": 114, - "metadata": { - "collapsed": false - }, - "outputs": [ + }, { "data": { - "image/png": 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adi6wDm6WkSncnfOTveCUiXDRkiwt7lLla1WOBy4C/u3V02pd4Gt/Bp7ErVlJ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\ny0KtgVW7AAAAAElFTkSuQmCC\n", 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, "output_type": "display_data" + } + ], + "source": [ + "do(mst_tsp, USA_big)" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "improve_mst: 1089 cities ⇒ tour length 44779 (in 5.871 sec)\n" + ] }, { - "name": "stdout", - "output_type": "stream", - "text": [ - "80 city tour with length 14105.0 in 0.022 secs for altered_mst_tsp\n" - ] + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ - "plot_tsp(altered_mst_tsp, USA_map)" + "do(improve_mst_tsp, USA_big)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Better. Let's go to the benchmarks:" - ] - }, - { - "cell_type": "code", - "execution_count": 115, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - " mst_tsp | 5953 ± 361 ( 5334 to 7030) | 0.002 secs/map | 30 ⨉ 60-city maps\n", - " nn_tsp | 5668 ± 488 ( 4674 to 6832) | 0.001 secs/map | 30 ⨉ 60-city maps\n", - " greedy_tsp | 5392 ± 306 ( 4554 to 5967) | 0.002 secs/map | 30 ⨉ 60-city maps\n", - " dq_tsp | 5268 ± 236 ( 4743 to 5752) | 0.042 secs/map | 30 ⨉ 60-city maps\n" - ] - } - ], - "source": [ - "benchmarks([mst_tsp, nn_tsp, greedy_tsp, dq_tsp])" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Not very encouraging: `mst_tsp` is the second slowest and has the longest tours. I'm sure I could make it faster (at the cost of making the code a bit more complicated), but there is no point if the tours are going to be longer. \n", + "Overall, `mst_tsp` looks pretty bad. \n", + "Why would anyone want to use it, when the nearest neighbor algorithm is simpler to describe and implement, runs faster, and produces shorter tours? \n", "\n", - "What happens when we add the alteration strategy?" - ] - }, - { - "cell_type": "code", - "execution_count": 116, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - " altered_dq_tsp | 4953 ± 221 ( 4575 to 5399) | 0.049 secs/map | 30 ⨉ 60-city maps\n", - " altered_nn_tsp | 4820 ± 233 ( 4450 to 5346) | 0.008 secs/map | 30 ⨉ 60-city maps\n", - " altered_mst_tsp | 4823 ± 227 ( 4354 to 5250) | 0.009 secs/map | 30 ⨉ 60-city maps\n", - " altered_greedy_tsp | 4766 ± 207 ( 4320 to 5185) | 0.009 secs/map | 30 ⨉ 60-city maps\n", - " repeated_altered_nn_tsp | 4640 ± 194 ( 4298 to 4991) | 0.148 secs/map | 30 ⨉ 60-city maps\n" - ] - } - ], - "source": [ - "benchmarks([altered_dq_tsp, altered_nn_tsp, altered_mst_tsp, altered_greedy_tsp, repeated_altered_nn_tsp])" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now `altered_mst_tsp` is in the middle of the pack, both in tour length and in run time.\n", + "# Guaranteed Tour Length!\n", "\n", - "So why would we want to use the rather complicated minimum spanning tree algorithm, when the greedy algorithm is simpler to implement, runs faster, and produces shorter tours?\n", + "The \"giant\" thing about the minimum spanning tree algorithm is that it comes with a *guarantee*, which none of the other algorithms offer. The algorithm guarantees that the tour length will be no worse than twice as long as the optimal tour. (And, with a bit more [complication](https://en.wikipedia.org/wiki/Christofides_algorithm), you can modify it to give a guarantee of 1.5 times longer.) The guarantee works like this:\n", "\n", - "Guaranteed Tour Length!\n", - "---\n", - "\n", - "The great thing about the minimum spanning tree algorithm is that it comes with a *guarantee*, which none of the other algorithms offer. You are guaranteed that the tour length it comes up with will be no worse than twice as long as the optimal tour. (And, with a bit more complication, you can modify it to give a guarantee of 1.5 times longer.) The guarantee works like this:\n", - "\n", - "1. The minimum spanning tree, by definition, connects all the cities with the shortest possible total edge length.\n", - "2. So if you could follow each edge in the spanning tree just once, and that formed a legal tour, then that would be guaranteed to be\n", + "1. The minimum spanning tree, by definition, connects all the cities with the shortest possible total link length.\n", + "2. So if you could follow each link in the spanning tree just once, and that formed a legal tour, then that would be guaranteed to be\n", "a minimal tour. \n", "3. But you can't do that in general; in general there will be places where you skip to the next city without following the spanning tree. Any such skip, however, is a straight line, and thus will be less than you would take if you went to the next city by following along the spanning tree.\n", - "4. If you did follow along the spanning tree, you would follow some edges twice, and some edges once. Hence the total length of the tour would be at most twice the spanning tree, and thus at most twice the minimal tour.\n", + "4. If you did follow along the spanning tree, you would follow some links twice, and some links once. Hence the total length of the tour would be at most twice the spanning tree, and thus at most twice the minimal tour.\n", "\n", - "A guarantee is great from a theoretical point of view, but in practice the greedy or nearest neighbor algorithms do just better than the minimum spanning tree, on the maps that we actually see. " + "A guarantee is great from a theoretical point of view, but in practice the greedy or nearest neighbor algorithms do better than the minimum spanning tree, and the improved versions of those algorithms do significantly better, on the maps that we actually see. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "# Shoulders of Giants: Held-Karp Algorithm: `hk_tsp`\n", + "# Shoulders of Giants: Held-Karp Algorithm: `held_karp_tsp`\n", "\n", "\n", "\n", @@ -4199,90 +2050,34 @@ "\n", "
xkcd 399
\n", "\n", - "Another algorithm that shows up with a literature search is the [Held-Karp Dynamic Programming Algorithm](http://en.wikipedia.org/wiki/Held%E2%80%93Karp_algorithm), named after giants [Michael Held](http://www.computerhistory.org/collections/catalog/102650390) and [Richard Karp](http://en.wikipedia.org/wiki/Richard_M._Karp). It is an algorithm for finding optimal tours, not approximate ones, so it is not appropriate for large *n*. But even in its simplest form, without any programming tricks, it can go quite a bit further than `alltours_tsp`. That is because `alltours_tsp` is O(*n*!), while the Held-Karp algorithm is only O(*n*2 2*n*). How did Held and Karp achieve this speedup? They noticed that `alltours_tsp` wastes a lot of time with permutations that can't possibly be optimal tours. Consider the following 10-city problem, with a 6-city segment shown:" + "Another algorithm that shows up with a literature search is the [Held-Karp Dynamic Programming Algorithm](http://en.wikipedia.org/wiki/Held%E2%80%93Karp_algorithm), named after giants [Michael Held](http://www.computerhistory.org/collections/catalog/102650390) and [Richard Karp](http://en.wikipedia.org/wiki/Richard_M._Karp). It is an algorithm for finding optimal tours, not approximate ones, so it is not appropriate for large *n*. But even in its simplest form, without any programming tricks, it can go quite a bit further than `alltours_tsp`. That is because `alltours_tsp` is O(*n*!), while the Held-Karp algorithm is only O(*n*2 2*n*). How did Held and Karp achieve this speedup? They noticed that `alltours_tsp` wastes a lot of time with permutations that can't possibly be optimal tours. Here's the key idea:\n", + "\n", + "\n", + ">*Given a start city A, an end city C, and a set of middle cities Bs, then out of all the possible segments that start in A, end in C, and go through all and only the cities in Bs, only the shortest of those segments could ever be part of an optimal tour.*\n", + "\n", + "Of course, we don't know that the optimal tour goes through exactly those Bs cities before hitting C. But if it does, then we need only consider the permutation of Bs that leads to the shortest segment. Why is that such a big deal? Suppose we are considering segments of the form:\n", + "\n", + " [A, {B1, ... B10}, C, {D1, ... D10}, E]\n", + " \n", + "That is, segments that start with A, then have have 10 Bi cities in some order, then C, then 10 Dj cities in some order, then E. With the All Tours algorithm, we have to consider all orderings of Bi and all orderings of Dj, so overall there would be (10!)2 ≈ 13 trillion orderings of this form. But with Held-Karp, we consider the Bi and Dj separately, and chose the best segment from each, giving us only 2 × 10! ≈ 7 million orderings to consider. (Actually it is even better than that, because we use Held-Karp recursively to split the Bi and Dj into pieces.) \n", + "\n", + "So far we have only been talking about segments. We know that the TSP is defined for tours, not segments. So even if we find the shortest possible segment, it might not be the shortest possible tour. But here's something we do know: a tour has to end somewhere. So just find the shortest segment from the start city, `A`, to each possible end city, `C`. Out of those segments, choose the one that is the shortest tour. That gives us our algorithm:" ] }, { "cell_type": "code", - "execution_count": 117, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plot_labeled_lines(cross, 'r-', [0, 4, 1, 3, 2, 9])" - ] - }, - { - "cell_type": "markdown", + "execution_count": 64, "metadata": {}, - "source": [ - "The `alltours_tsp` would consider 4! = 24 different tours that start with those 6 cities. But that seems wasteful: there is no way that this segment could be part of an optimal tour, so why waste time on *any* continuation of it? The proof that this segment can never be part of an optimal tour comes down to two things. First, we demonstrate another tour that also starts in city 0 and ends in city 9, and along the way goes through cities 1 through 4, and is shorter:" - ] - }, - { - "cell_type": "code", - "execution_count": 118, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plot_labeled_lines(cross, [0, 1, 2, 3, 4, 9])" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Second, we need this key property:\n", - "\n", - ">*Given a start city A, an end city C, and a set of middle cities Bs, then out of all the possible segments that start in A, end in C, and go through all and only the cities in Bs, only the shortest of those segments could ever be part of an optimal tour. \n", - "\n", - "Of course, we don't know that the optimal tour goes through exactly those Bs cities before hitting C. But if it does, then we need only consider the permutation of Bs that leads to the shortest segment. So we can throw out the red zig-zag segment above, and keep the nice smooth blue segment.\n", - "\n", - "So far we have only been talking about segments. We know that the TSP is defined for tours, not segments. So even if we find the shortest possible segment, it might not be the shortest possible tour. But here's something we do know: a tour has to end somewhere. So just find the shortest segment from the start city, `A`, to every possible end city, `C`. That will give you *n*-2 segments. Out of those, don't choose the shortest *segment*, but rather choose the shortest *tour*.\n", - "\n", - "That gives us our algorithm:" - ] - }, - { - "cell_type": "code", - "execution_count": 119, - "metadata": { - "collapsed": false - }, "outputs": [], "source": [ - "def hk_tsp(cities):\n", - " \"\"\"The H eld-Karpshortest tour of this set of cities.\n", + "def held_karp_tsp(cities):\n", + " \"\"\"The Held-Karp shortest tour of this set of cities.\n", " For each end city C, find the shortest segment from A (the start) to C.\n", " Out of all these shortest segments, pick the one that is the shortest tour.\"\"\"\n", " A = first(cities)\n", + " shortest_segment.cache_clear() # Start a new problem\n", " return shortest_tour(shortest_segment(A, cities - {A, C}, C)\n", - " for C in cities if C is not A)\n", + " for C in cities - {A})\n", "\n", "# TO DO: function: shortest_segment(A, Bs, C)" ] @@ -4291,28 +2086,26 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Now for `shortest_segment(A, Bs, C)`. It is defined to produce the shortest segment that starts in city `A`, ends in `C`, and visits some permutation of `Bs` cities in the middle. If there are no `Bs` cities, then of course the shortest segment is to go directly from `A` to `C`. If there are `Bs` cities, then one of them has to be the last `B` city visited (just before visiting `C`). So for each `B`, find the shortest segment that first goes from `A`, through all the other `Bs` cities, then to `B`, and finally to `C`. Out of all these candidate segments, return the one with the minimum segment length.\n", + "Now for `shortest_segment(A, Bs, C)`, the shortest segment that starts in city `A`, ends in `C`, and visits some permutation of `Bs` cities in the middle. If there are no `Bs` cities, then of course the shortest segment is to go directly from `A` to `C`. If there are `Bs` cities, then one of them has to be the last `B` city visited (just before visiting `C`). So for each `B`, find the shortest segment that first goes from `A`, through all the other `Bs` cities, then to `B`, and finally to `C`. Out of all these candidate segments, return the one with the minimum segment length.\n", "\n", - "**Note:** the decorator `@functools.lru_cache` makes this a **dynamic programming** algorithm, which is a fancy name meaning that we cache the results of sub-computations because we will re-use them multiple times." + "**Note:** the decorator `@cache` makes this a **dynamic programming** algorithm, which is a fancy name meaning that we cache the results of sub-computations because we will re-use them multiple times. In the function `held_karp_tsp` we clear the cache at the start of each new problem." ] }, { "cell_type": "code", - "execution_count": 120, - "metadata": { - "collapsed": false - }, + "execution_count": 65, + "metadata": {}, "outputs": [], "source": [ - "@functools.lru_cache(None)\n", + "@cache(None)\n", "def shortest_segment(A, Bs, C):\n", " \"The shortest segment starting at A, going through all Bs, and ending at C.\"\n", " if not Bs:\n", " return [A, C]\n", " else:\n", - " segments = [shortest_segment(A, Bs - {B}, B) + [C] \n", - " for B in Bs]\n", - " return min(segments, key=segment_length)\n", + " return min((shortest_segment(A, Bs - {B}, B) + [C] \n", + " for B in Bs),\n", + " key=segment_length)\n", " \n", "def segment_length(segment):\n", " \"The total of distances between each pair of consecutive cities in the segment.\"\n", @@ -4325,306 +2118,602 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "That's all there is to it. Let's compare `alltours_tsp` with `hk_tsp` on 10 city tours:" + "That's all there is to it. Let's compare `alltours_tsp` with `held_karp_tsp` on 10 city tours:" ] }, { "cell_type": "code", - "execution_count": 121, - "metadata": { - "collapsed": false - }, + "execution_count": 66, + "metadata": {}, "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, { "name": "stdout", "output_type": "stream", "text": [ - "10 city tour with length 2291.8 in 1.650 secs for alltours_tsp\n" + "alltours: 10 cities ⇒ tour length 2720 (in 1.690 sec)\n" ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ - "plot_tsp(alltours_tsp, Cities(10))" + "do(alltours_tsp, Cities(10))" ] }, { "cell_type": "code", - "execution_count": 122, - "metadata": { - "collapsed": false - }, + "execution_count": 67, + "metadata": {}, "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, { "name": "stdout", "output_type": "stream", "text": [ - "10 city tour with length 2291.8 in 0.037 secs for hk_tsp\n" + "held_karp: 10 cities ⇒ tour length 2720 (in 0.033 sec)\n" ] + }, + { + "data": { + "image/png": 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uAq52541a/h4kLWasQ7jvdy3gYHf+EbkkIf0Q+BGwxJ3TYtdSFsXlHKcQjuc9FTh/ZXdnFctCnwMOI7T91xFeBKar9S8PMwz4KjAROBc4XTv+0pHyFlEIM4H1YxdRBsU36h6Eh3TuBTZx56XufE53lgI3ADcUg+ODgN8AZsbFwOXd/RqSNjM+QOgoNwE+787DkUuSdjQTEMxYH7gROAM41J0DKv3i7E6TO2cBGxGWijYAniiGyV/SMLn+mPE5woNfc4HPKADSlHoIaHdQFZnRq9ii9xBhp8am7kyr5td0x92Z4c4RhGHydcCJhGHyWWZsVM2vL9VnRl8zJgGTgIPcOd6dxbHrko6lHgLqBKrEjNHAY8CWhJ/STnfnv7WswZ2F7lziznaEmcEyYJoZM8w4wow1a1mPdJ8ZIwn3/a5O+KHiT5FLkveR+mB4XWCGO+vErqVemNEInA2MAL7pzg2RS3oHM3rSOkweRegULkLD5KQV9/2eSljqG+fOdZFLkk7KohMohpbSDcXTmccRfvqfDWycWgAAuPOWOze682VgQ+Bx4ELgKTO+a8aguBVKe2ZsAjwIDAU2UwDkJelOAMCMZmCg9pivPDO2Bs4HXgWOceepyCV1SfFDwAhCd7A3YffSRcDNxQ4kqZHW50QGNcLLL8GZz8E2RwLfBS5Rt5afHELgOcJ1cs/GriU3xfa8M4DdCMPXKbl/k5rRlxAEhxN2GF0BXOzOk1ELK4GOT5E9eTGstbP7D++NXJ6spNSXg0A7hLrMjB5mHA48ASwCNnLnd7kHACwfJl9aDJO3B94C/mjGfcUwuSFyiXWso1Nkf7wG3Dk2ZlXSPTmEgHYIdYEZmxGWS44EdnXnOHdej1xWVbjzT3e+B6xLOIVyN+BfZlxixnaaJVXaoMaOT5Ed2BijGqmMHEJAnUAnmNFgxs+BqcAlwEh3/ha5rJoohsk3tRkmzwQuAP5hxknFjijptpfmdnyKbNPcGNVIZeQSAuoEVqA4lfErhJM+1wKGunOhO29HLi0Kd15252eEnSoHA0OAx8240YwvF1sZZaXMHN/xKbIzx8esSronh8HwyUCDOyfFriU1xZns5wEDCXuzNZzrQHEoXssweUNah8lPRC0sQ627gz67H0z/PTz8HV0tmrccQuBIYKvimAFh+X2sJwPjgB8D52qrZOcUwXko8DXgOcKpple5syBqYZkx42HgGy1HjEu+clgO0hWTbZixG+EBqg2Bzd05WwHQee2GyRMITyf/y4xLzdhew+ROm0XYoiuZS/0oadBMAFh+hMZEwpG849y5PXJJWSvOs78ZuNmMDxGOuZ4ErNrmmOsXY9aYOIVAnVAnkDgzVjPjO8BfCQdzbaIAqCx3/t1mmHwg8DFgphk3mbGnhskdUgjUiRxCoLSdgBk7AH8jHKS2lTs/dGdJ5LLqVnHM9QPuHAWsA1wDHEc45vpnZgyNW2FSZgEfj12EdF8Og+EewH+BNcqy9m3Gh4GzgB2B/wGuq4enfXNlxga0DpOfJwyTp5R5mGzG2sDTQH/93cxb8p1Asd99PjAgdi3VZsYqZhxNeNipiXDS5+/1TRaXO7PcORlYDzgN2IUwTL6sxMPkVwGnpF16PclhMAytc4GXYxdSLWZsSTjpczEwyp2ZkUuSdjoYJh9I+G+2WtmGye642fK5wCux65GVl3wnUKjbuYAZ/c34FeGO33OB7RUA6SuGyWcDwwhhMBj4uxk3l2iYrOFwHcglBOpuh1Bx3MPBhJM+jbD0c5mWfvLSZpj8dcKdyVcB36Qcw2SFQB3IJQTq6hC54oXhz4SdJ3u4M86d+XGrku5yp9mdy93ZEdgGWALcYcYDZhxlxlpxK6w4hUAdyCUE6uI4aTP6mvETQgBcDQx358G4VUk1uPO0O98nDJNPBXYGniuGyTvUyTBZIVAHcgmBrDuBYulnT8LSzyDCA1/nubMscmlSZcUx17e4szfhBfMRwqF/s8w42YyPxK2wW2YBG9RJoJVWLiGQbSdgxhDCjpIJwMHuHOROU+SyJAJ3XnHn54SjP/YnnF/UMkzeK7dhsjv/Ad4EPhy7Fll5uYRAdp2AGaubcQrwAHAX4bC3P8etSlJQDJMfdGcs4cnkKcCxwAtmnG3GsLgVdomeHM5cLiGQVSdgxs7AY8Cngc+4c6Y7/41cliTInUXuXFEMk0cS7oS+rRgmfz2DYfLTaC6QtVxCIItOwIyPmHEV4TTKE9z5sjvPxa5L8lAMk8cThsn/B4whDJMvN2PHRNfeNRzOXC4hMA9YO9FvAszoacbxwKPAP4Fh7twUuSzJlDvL3Lm1zTD5r4QHCWeZ8X0z1olb4TsoBDKXRQi4sxhYCqwZu5b2zNgG+AuwG7CNO6e4syhyWVInimHyRGBT4KuEB9IeM+MWM/ZOYJisEMhc8qeItjBjDrCTO8/ErgWWn6J4JrArcAJwtZ72lVowozewF3AY4Q6EKwl3Jv89Qi1rAS8Ca+rvf56y6AQKScwFzOhhxhGEKx4XABu5c5W+AaRW2gyTRxGGyc3ArWY8aMbYWg6T3XmdMMweVKuvKZWVUwhE3yFkxubAdMJPYLu4c3yZz5SX+NoNk38AfJYwTL6iGCbX4ntcS0IZyykEonUCZjSYMRG4HfgNsK07j8SoRaQjbYbJ+xBekP9C7YbJCoGM5RYCNe0EiuMe9gOeBPoCQ925qLjoRiRJ7YbJ+xEeSHvMjFuLYXKvCn9JhUDGcgqBmh4nbcaGwFTge8A+7hzhzrxafX2R7iqeTH7InXGEILgSOJpwzPXPzdikQl9KTw1nLKcQqEknYEZvMyYQ1v5vIjzxO6PaX1ekmoph8mR3dgK2BhYCt5jxUDFM7teNT6+nhjOWUwhUvRMwY3fCrp+PA5u5M7G4UlCkbrgz251TCLehnQLsBMwphsmjVmKYPAsYUqMhtFRYLncMQxU7ATPWA84BNgaOcmdqNb6OSEqKo8xvI5xVtDZwAOH7oI8ZlwCXufN8Jz7PG2a8ATQCL1SzZqm8nJK74p2AGauZcRJhJ8XDhHP+FQBSOu7Mc+ccYDPgK4QX9EeKYfI+nRgmazicqZxCoKKdgBmjCGf9bEe44WuCO29W6vOL5KgYJj/sztGEIyomA+MIx1xPNGPTFfxfFQKZyunYiB6ECyx6u7O0G59nIPBTYHvCHb/X62lfkfdmxvrAIcChQBNwMfA7d14zaxgM+14HvQfAw/fAzPHuC+bEq1a6IpsQADDjZcLAtss3c5mxCuEnmh8Q/gKf5s7CCpcoUteK76PRwOHAzvDYn+AXw+GcRuhDOMFi7Gz4w2gFQR5yC4HHgf26elCWGcOB8wnb4o525/Fq1CdSJmGYfMitcN4WIQBaNANjrnSfcWCs2qTzcpoJQBfnAmYMMGMS8AdgIrCjAkCkMsLDk2+88c4AgPDrgY0xapKuyy0EOrVDqDju4RDgCWAZsHFx6mI+bY9IFl6aG37yb6sZaJoboxrputxC4H0PkSsehb8bOAbY3Z1j3PlPLYoTKZ+Z48MMoCUIWmYCM8fHrEo6L6eHxeA9jpM2oy9h6HsI8L/Ar4uHYUSkStwXzDFrGA2zJ4QloKa52h2Ul9xC4BXgE20/UNw7vCdhzX8a4X7flyPUJlJKxQu+hsCZyiYEwl7k3feFgRuY3d8vtJsLehLOTF8XONCdu+JWKSKSlyy2iIYA2ONOmDSkdS/yt+bDtw3WPx2Y2J0HyEREyiqTEBg5GaYe8O69yF++zv2OPWPVJSKSu0x2Bw1q7Hgvct/unIEuIlJ6mYSA9iKLiFRDJiGgvcgiItWQxUwAWobDw7QXWUSkgrIJARERqbxMloNERKQaFAIiIiWmEBARKTGFgIhIiSkERERKTCEgIlJiCgERkRJTCIiIlJhCQESkxBQCIiIlphAQESkxhYCISIkpBERESkwhICJSYgoBEZESUwiIiJSYQkBEpMQUAiIiJaYQEBEpMYWAiEiJKQREREpMISAiUmIKARGRElMIiIiUmEJARKTEFAIiIiWmEBARKTGFgIhIiSkERERKTCEgIlJiCgERkRJTCIiIlJhCQESkxBQCIiIlphAQESkxhYCISIn9P7SPVlpi3TCIAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ - "plot_tsp(hk_tsp, Cities(10))" + "do(held_karp_tsp, Cities(10))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "We see that `hk_tsp` returns the optimal tour, and it is a lot faster. We can take `hk_tsp` into uncharted territory well beyond the reach of `alltours_tsp`:" + "We see that `held_karp_tsp` is optimal, and is a lot faster. We can take Held-Karp into uncharted territory beyond the reach of `alltours_tsp`:" ] }, { "cell_type": "code", - "execution_count": 123, - "metadata": { - "collapsed": false - }, + "execution_count": 68, + "metadata": {}, "outputs": [ - { - "data": { - "image/png": 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IQl9EpEAU+iIiBaLQFxEpEIW+iEiBKPRFRApEoS8iUiD/D6gGX6fvXhHKAAAA\nAElFTkSuQmCC\n", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, { "name": "stdout", "output_type": "stream", "text": [ - "14 city tour with length 2886.6 in 1.464 secs for hk_tsp\n" + "held_karp: 18 cities ⇒ tour length 2771 (in 43.741 sec)\n" ] - } - ], - "source": [ - "plot_tsp(hk_tsp, Cities(14))" - ] - }, - { - "cell_type": "code", - "execution_count": 124, - "metadata": { - "collapsed": false - }, - "outputs": [ + }, { "data": { - "image/png": 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cIwilnMmEA8RvqEApZy46NxdljETVuDMNcKApdSySncKVd+IDwCuBn7vzr8Th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\nKkRJX0SkQpT0RUQqRElfRKRC/h/0djI4tTI8yAAAAABJRU5ErkJggg==\n", 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "16 city tour with length 2868.6 in 9.018 secs for hk_tsp\n" - ] } ], "source": [ - "plot_tsp(hk_tsp, Cities(16))" + "do(held_karp_tsp, Cities(18))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Not bad! In 11 seconds, we did what `alltours_tsp` would have taken an estimated 200 days to complete! Let's repeat the table of expected times, comparing the All Tours algorithm with the Held-Karp algorithm:\n", + "Not bad! To see how much time we save using `held_karp_tsp` over `alltours_tsp`, we can extrapolate from the timings we've done, using the fact that Held-Karp is *O*(*n*2 2*n*) while `alltours` is *O*(*n*!), to get this table:\n", "\n", - "\n", - "
n `alltours_tsp(Cities(n))``hk_tsp(Cities(n))`\n", - "
expected time ≈ O(n!)expected time ≈ O(n2 2n)\n", - "
10 10! tours = 2 secs 0.1 secs \n", - "
112 secs × 11! / 10! ≈ 22 secs 0.2 secs\n", - "
122 secs × 12! / 10! ≈ 4 mins 0.4 secs\n", - "
142 secs × 14! / 10! ≈ 13 hours 3 secs\n", - "
162 secs × 16! / 10! ≈ 200 days 162 216 tours = 11 secs\n", - "
182 secs × 18! / 10! ≈ 112 years\n", - "11 secs × (18/16)2 2(18-16) ≈ 1 min\n", - "
252 secs × 25! / 10! ≈ 270 billion years\n", - " 11 secs × (25/16)2 2(25-16) ≈ 4 hours\n", - "
502 secs × 50! / 10! ≈ 5 × 1050 years11 secs × (50/16)2 2(50-16) ≈ 58,000 years\n", - "
\n", "\n", - "So if we had some patience, we could find the optimal tour for a 25 city map, but we still can't handle the 50-city landmarks map.\n", - "(There are refinements to Held-Karp that can handle 50-city maps, and could do it even with 1960s-era computing power.)\n", + "|*n*|`alltours_tsp`|`held_karp_tsp`|\n", + "|---|---|---|\n", + "|10| 2 secs | 0.04 secs |\n", + "|12|≈ 4 mins | 0.25 secs|\n", + "|15|≈ 8 days |3 secs|\n", + "|18|≈ 112 years| 43 secs|\n", + "|25|≈ 270 billion years|≈ 3 hours|\n", + "|50|≈ 1050 years|≈ 45,000 years|\n", "\n", - "We're starting to run out of tricks, but we have one more general strategy to consider." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Ensembles of Other Algorithms: `ensemble_tsp`" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "When we have several optimization algorithms and we're not sure which is best, we can always try them all and take the best result. We will define `ensemble_tsp`, to combine the algorithms we have previously developed. First, if the set of input cities is small enough, it solves the problem optimally with `hk_tsp`. If the set is too large, it tries a selection of algorithms, and chooses the best resulting tour. The result is guaranteed to be as good or better than any of the component algorithms; but the run time is guaranteed to be longer than any of the component algorithms." + "\n", + "So if we had the patience to wait 3 hours, `held_karp_tsp` could give us an answer that saves 270 billion years of computing with `alltours_tsp`. The original Held-Karp algorithm had refinements that allowed it to handle 50-city sets in hours, not milleniums, and could do so even with 1970s-era computing power! See **Branch and Cut** below.\n", + "\n", + "We have one more trick to try:\n", + "\n", + "# Ensemble Strategy: `ensemble_tsp`\n", + "\n", + "When we have several optimization algorithms and we're not sure which is best, we can always try them all and take the best tour:" ] }, { "cell_type": "code", - "execution_count": 125, - "metadata": { - "collapsed": false - }, + "execution_count": 69, + "metadata": {}, "outputs": [], "source": [ - "ensemble = [altered_dq_tsp, altered_greedy_tsp, altered_mst_tsp, repeated_altered_nn_tsp]\n", + "ensemble = {rep_improve_nn_tsp, improve_greedy_tsp, improve_mst_tsp, improve_divide_tsp}\n", "\n", - "def ensemble_tsp(cities, threshold=16, algorithms=ensemble): \n", - " \"Apply all algorithms to cities and take the shortest resulting tour.\"\n", - " if len(cities) <= threshold:\n", - " return hk_tsp(cities)\n", - " else:\n", - " return shortest_tour(tsp(cities) for tsp in algorithms)" + "def ensemble_tsp(cities, algorithms=None): \n", + " \"Apply an ensemble of algorithms to cities and take the shortest resulting tour.\"\n", + " return shortest_tour(tsp(cities) for tsp in (algorithms or ensemble))" + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ensemble: 80 cities ⇒ tour length 13534 (in 0.191 sec)\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "do(ensemble_tsp, USA)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Let's go to the benchmarks:" + "# Review\n", + "\n", + "Here are the algorithms we developed, sorted by strategy:\n", + "\n", + "- **Brute Force Strategy**: `alltours_tsp`\n", + "- **Greedy Strategy**: `nn_tsp`, `greedy_tsp`\n", + "- **Divide and Conquer Strategy**: `divide_tsp`\n", + "- **Ensemble Strategy**: `rep_nn_tsp`, `ensemble_tsp`\n", + "- **Giant Shoulders Strategy**: `mst_tsp`, `held_karp_tsp`\n", + "- **Improvement Strategy**: `improve_nn_tsp`, `improve_greedy_tsp`, `improve_divide_tsp`, `improve_rep_nn_tsp`, `rep_improve_nn_tsp`, `improve_mst_tsp`\n", + "\n", + "\n", + "# Comparison of Algorithms: Benchmark Experiments\n", + "\n", + "Which algorithm is best? I can't tell by trying them on only one or two problems. What I need to do is **benchmark** them on a standard **test suite** of problems. If the test suite is large enough, the results will have statistical significance. First we'll define `TestSuite`. It passes a different `seed` to `Cities` each time, so we get a collection of different city sets." ] }, { "cell_type": "code", - "execution_count": 126, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - " altered_dq_tsp | 4953 ± 221 ( 4575 to 5399) | 0.049 secs/map | 30 ⨉ 60-city maps\n", - " altered_greedy_tsp | 4766 ± 207 ( 4320 to 5185) | 0.009 secs/map | 30 ⨉ 60-city maps\n", - " altered_mst_tsp | 4823 ± 227 ( 4354 to 5250) | 0.009 secs/map | 30 ⨉ 60-city maps\n", - " repeated_altered_nn_tsp | 4640 ± 194 ( 4298 to 4991) | 0.148 secs/map | 30 ⨉ 60-city maps\n", - " ensemble_tsp | 4630 ± 187 ( 4298 to 4991) | 0.213 secs/map | 30 ⨉ 60-city maps\n" - ] - } - ], + "execution_count": 71, + "metadata": {}, + "outputs": [], "source": [ - "benchmarks(ensemble + [ensemble_tsp])" + "def TestSuite(num_tests, num_cities):\n", + " \"Return a tuple of length num_tests, each element a different set of num_cities.\"\n", + " return tuple(Cities(num_cities, seed=(num_tests, num_cities, i))\n", + " for i in range(num_tests))" ] }, { "cell_type": "code", - "execution_count": 127, - "metadata": { - "collapsed": false - }, + "execution_count": 72, + "metadata": {}, "outputs": [ { - "name": "stdout", - "output_type": "stream", - "text": [ - " altered_dq_tsp | 6771 ± 220 ( 6273 to 7248) | 0.347 secs/map | 30 ⨉ 120-city maps\n", - " altered_greedy_tsp | 6539 ± 240 ( 5994 to 7203) | 0.037 secs/map | 30 ⨉ 120-city maps\n", - " altered_mst_tsp | 6616 ± 213 ( 6268 to 7010) | 0.050 secs/map | 30 ⨉ 120-city maps\n", - " repeated_altered_nn_tsp | 6402 ± 185 ( 6015 to 6779) | 0.701 secs/map | 30 ⨉ 120-city maps\n", - " ensemble_tsp | 6390 ± 184 ( 6015 to 6779) | 1.100 secs/map | 30 ⨉ 120-city maps\n" - ] + "data": { + "text/plain": [ + "(frozenset({(365+79j), (54+67j), (543+93j), (747+328j), (964+336j)}),\n", + " frozenset({(222+23j), (476+122j), (578+299j), (644+573j), (706+558j)}),\n", + " frozenset({(250+427j), (319+62j), (612+206j), (703+504j), (794+204j)}),\n", + " frozenset({(133+534j), (305+351j), (585+648j), (663+401j), (753+137j)}),\n", + " frozenset({(101+89j), (107+517j), (28+152j), (35+149j), (629+137j)}),\n", + " frozenset({(312+209j), (381+645j), (489+448j), (737+451j), (990+36j)}))" + ] + }, + "execution_count": 72, + "metadata": {}, + "output_type": "execute_result" } ], "source": [ - "benchmarks(ensemble + [ensemble_tsp], Maps(30, 120))" - ] - }, - { - "cell_type": "code", - "execution_count": 128, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - " altered_dq_tsp | 9750 ± 288 ( 9187 to 10167) | 3.052 secs/map | 10 ⨉ 250-city maps\n", - " altered_greedy_tsp | 9229 ± 261 ( 8723 to 9606) | 0.215 secs/map | 10 ⨉ 250-city maps\n", - " altered_mst_tsp | 9484 ± 142 ( 9190 to 9668) | 0.221 secs/map | 10 ⨉ 250-city maps\n", - " repeated_altered_nn_tsp | 9187 ± 194 ( 8785 to 9390) | 3.524 secs/map | 10 ⨉ 250-city maps\n", - " ensemble_tsp | 9153 ± 216 ( 8723 to 9390) | 6.959 secs/map | 10 ⨉ 250-city maps\n" - ] - } - ], - "source": [ - "benchmarks(ensemble + [ensemble_tsp], Maps(10, 250))" + "TestSuite(6, 5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "So the `ensemble_tsp` returns tours that are shortest, but the run time is slowest, as expected. It improves on `repeated_altered_nn_tsp` by less than 1%." + "Next, `benchmark` takes as input a TSP function and a test suite, runs the function on each city set in the suite, and returns two values: the list of tour lengths that the function produced, and the average run time of the function. (Note that I *cache* the results, so that if you call benchmark a second time, and it has already done the computation, it just looks up the result rather than tediously re-running it.)" + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "metadata": {}, + "outputs": [], + "source": [ + "@cache(None)\n", + "def benchmark(algorithm, tests):\n", + " \"Benchmark one TSP algorithm on a test suite; return ([tour_lengths], average_time)\"\n", + " t0 = clock()\n", + " lengths = [tour_length(algorithm(cities)) for cities in tests] \n", + " t1 = clock()\n", + " return lengths, (t1 - t0) / len(tests)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ + "# Comparison with Boxplots\n", + "\n", + "A **boxplot** is a standard statistical visualization tool that represents a data set with a box covering the first and third quartiles of the data; inside the box is a horizontal line indicating the median and a dot/marker indicating the mean. The 10% and 90% intervals are the \"whiskers\" coming out of the top and bottom of the box, and individual points outside that range are shown as dots. I'll define the function `boxplots`:" + ] + }, + { + "cell_type": "code", + "execution_count": 74, + "metadata": {}, + "outputs": [], + "source": [ + "def boxplots(algorithms, tests):\n", + " \"Draw a boxplot for each of the functions executing the tests.\"\n", + " lengthlists, times = unzip(benchmark(tsp, tests) for tsp in algorithms)\n", + " best = min(map(median, lengthlists))\n", + " labels = [boxplot_label(A, L, T, best) \n", + " for (A, L, T) in zip(algorithms, lengthlists, times)]\n", + " plt.figure(figsize=(15, 7.5))\n", + " plt.tick_params(axis='x', which='major', labelsize=12)\n", + " plt.boxplot(lengthlists, labels=labels, showmeans=True, whis=(10, 90), sym='o')\n", + " plt.title(\"Comparison on {} sets of Cities({})\"\n", + " .format(len(tests), len(tests[0])), fontsize=14)\n", + "\n", + "def boxplot_label(tsp, lengths, T, best):\n", + " return '{}\\n{:.0f} ms\\n{:.0f} mean len\\n{:.0f} med len\\n{:.3f} med ratio'.format(\n", + " name(tsp), T * 1000, mean(lengths), median(lengths), median(lengths) / best)\n", + "\n", + "def unzip(sequences): return zip(*sequences)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Comparsion of Five Basic Algorithms\n", + "\n", + "Let's get boxplots for the 5 basic approximate algorithms:" + ] + }, + { + "cell_type": "code", + "execution_count": 75, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "basic5 = [greedy_tsp, rep_nn_tsp, divide_tsp, nn_tsp, mst_tsp]\n", + "\n", + "boxplots(basic5, TestSuite(40, 200))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The **label** at the bottom of each box plot consists of the name of the algorithm, the average run time in milliseconds, the mean and median tour length, and the ratio of the median tour length of this algorithm to the median tour length of the best algorithm (among all the algorithms in this boxplot).\n", + "\n", + "This plot says that the greedy algorithm was best overall, but the repetitive nearest neighbor algorithm was within 1.5% in tour length (but not in run time). The minimum spanning tree algorithm produces by far the longest tours. Nearest neighbor if fastest, while divide and conquer is slowest.\n", + "\n", + "I'd also like to know for how many different problems each algorithm was best, or second best, etc. I will define a function called `rankings` to do that. I'll also define `compare` to call both `boxplots` and `rankings`:" + ] + }, + { + "cell_type": "code", + "execution_count": 76, + "metadata": {}, + "outputs": [], + "source": [ + "def compare(algorithms, tests=TestSuite(40, 200)):\n", + " \"Compare TSP algorithms on a test suite.\"\n", + " boxplots(algorithms, tests)\n", + " plt.show()\n", + " rankings(algorithms, tests)\n", + " \n", + "def rankings(algorithms, tests):\n", + " \"Print a table of how often each algorithm had each rank: you get a #1 if you were shortest.\"\n", + " N = len(algorithms)\n", + " lengthlists = [benchmark(tsp, tests)[0] for tsp in algorithms]\n", + " # ordered[i] is all tour lengths (for all algorithms) for the i-th problem, sorted\n", + " ordered = [sorted(L) for L in zip(*lengthlists)]\n", + " fmt = ('{:>4}' * len(algorithms) + ' | {}').format\n", + " print(fmt(*['#' + str(i + 1) for i in range(N)], 'Algorithm'))\n", + " print(' ---' * N + ' | ---------')\n", + " for alg, lengths in zip(algorithms, lengthlists):\n", + " ranks = Counter(ordered[i].index(lengths[i]) for i in range(len(tests)))\n", + " print(fmt(*[ranks[i] for i in range(N)], name(alg)))" + ] + }, + { + "cell_type": "code", + "execution_count": 77, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " #1 #2 #3 #4 #5 | Algorithm\n", + " --- --- --- --- --- | ---------\n", + " 19 10 9 2 0 | greedy\n", + " 11 18 11 0 0 | rep_nn\n", + " 10 11 16 3 0 | divide\n", + " 0 1 4 34 1 | nn\n", + " 0 0 0 1 39 | mst\n" + ] + } + ], + "source": [ + "compare(basic5)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The top line of the rankings says the greedy algorithm was #1 (had the shortest tour) for 19 out of the 40 problems, came in second for 10 problems, third 9 times, and fourth twice. The `rep_nn_tsp` algorithm was not quite as good, coming in first 11 times, while the MST algorithm was terrible, coming in last 39 times.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Comparsion of Improved Algorithms\n", + "\n", + "Now let's compare the **improved** versions of these algorithms:" + ] + }, + { + "cell_type": "code", + "execution_count": 78, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " #1 #2 #3 #4 #5 #6 | Algorithm\n", + " --- --- --- --- --- --- | ---------\n", + " 15 6 5 8 6 0 | improve_greedy\n", + " 16 14 7 3 0 0 | rep_improve_nn\n", + " 5 5 10 11 9 0 | improve_rep_nn\n", + " 1 1 0 1 4 33 | improve_divide\n", + " 1 12 9 7 8 3 | improve_nn\n", + " 2 2 9 10 13 4 | improve_mst\n" + ] + } + ], + "source": [ + "improved = [improve_greedy_tsp, rep_improve_nn_tsp, improve_rep_nn_tsp, \n", + " improve_divide_tsp, improve_nn_tsp, improve_mst_tsp, ]\n", + "\n", + "compare(improved)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The `improved_greedy_tsp` and `rep_improve_nn_tsp` algorithms give the shortest tours. One surprising result is that the divide and conquer algorithm was not improved much; perhaps the re-assembly steps of divide and conquer are already doing the same things that `improve_tour` does. The minimum spanning tree algorithm is no longer terrible.\n", + "\n", + "# Comparison of *k* Values for `rep_improve_nn_tsp`\n", + "\n", + "What's a good value for the *k* parameter for the repetitive improved nearest neighbor algorithm?" + ] + }, + { + "cell_type": "code", + "execution_count": 79, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " #1 #2 #3 #4 #5 #6 | Algorithm\n", + " --- --- --- --- --- --- | ---------\n", + " 11 4 3 1 15 6 | improve_greedy\n", + " 17 7 9 5 2 0 | rep_improve_nn, 15\n", + " 4 19 7 6 3 1 | rep_improve_nn, 10\n", + " 5 8 10 10 6 1 | rep_improve_nn, 5\n", + " 3 4 11 10 8 4 | rep_improve_nn, 3\n", + " 2 2 1 4 4 27 | rep_improve_nn, 1\n" + ] + } + ], + "source": [ + "improvers = [bind(rep_improve_nn_tsp, k) for k in (15, 10, 5, 3, 1)]\n", + "compare([improve_greedy_tsp] + improvers)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "With the default *k*=5, `rep_improve_nn_tsp` is comparable to `improve_greedy_tsp`, and with *k*=15 the tours are 1% shorter (but the run time is 14 times longer). \n", + "\n", + "# Comparison of Ensemble Strategy\n", + "\n", + "Since no one algorithm dominates the others, maybe it is time for the **ensemble strategy**:" + ] + }, + { + "cell_type": "code", + "execution_count": 80, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " #1 #2 #3 #4 | Algorithm\n", + " --- --- --- --- | ---------\n", + " 40 0 0 0 | ensemble\n", + " 20 0 18 2 | rep_improve_nn\n", + " 17 0 11 12 | improve_greedy\n", + " 3 0 11 26 | improve_mst\n" + ] + } + ], + "source": [ + "ensemble = (rep_improve_nn_tsp, improve_greedy_tsp, improve_mst_tsp)\n", + "compare((ensemble_tsp,) + ensemble)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The `ensemble_tsp` algorithm gives a 1% improvement in tour length, because it gets contributions from both `rep_improve_nn_tsp` and `improve_greedy_tsp` (and, for just 3 out of 40 problems, from `improve_mst_tsp`). Note that in the rankings, for every problem there is a two way tie for first between the `ensemble_tsp` algorithm and whichever member of the ensemble contributed that tour. That's why there are 80 (not 40) entries in the \"#1\" column, and none in the \"#2\" column. This ensemble is comparable to `rep_improve_nn_tsp` with *k*=15, but twice as fast.\n", + "\n", + "# Comparing Precise Algorithms\n", + "\n", + "Here I compare the two precise algorithms, All Tours and Held-Karp, to the (approximate) ensemble algorithm. I won't bother with `rankings`, because the precise algorithms always tie for first. I'll try both 9 and 10-city test suites:" + ] + }, + { + "cell_type": "code", + "execution_count": 81, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "boxplots([alltours_tsp, held_karp_tsp, ensemble_tsp], TestSuite(20, 10))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This says that while `ensemble_tsp` does not give a guarantee of an optimal tour, in practice on random city sets it performs exactly the same as the precise algorithms, only faster.\n", + "\n", + "\n", "# Further Explorations\n", "\n", "\n", "That's all I'm going to write for now. But there are still plenty of open questions for you to explore:\n", "\n", "* **Branch and Cut**: this is a technique to cut off a search early, when a partial solution is obviously not optimal. We saw how Held-Karp cuts off some permutations of cities when another permutation is better. A refinement on that is to keep track of, say, the best total length of the segment going through all the Bs cities. Then, any time you have a partial segment through some of the Bs cities that exceeds the best total, we can stop right there, before even finishing all the Bs. With this technique, you can find optimal tours for around 50 cities.\n", - "* **Linear programming**: Lookup the topic \"linear programming\" and see how it applies to TSP.\n", - "* **Heuristic Algorithms**: There are many approaches for using heurisitic estimates to find good (but not optimal) tours. For example, *ant colony optimization algorithms* make random choices of which edge to follow, and then the edges that occur in the best tours get reinforced with some virtual pheromones, and other ants tend to follow those pheromones. *Simulated annealing* takes its inspiration from metallurgy.\n", - "* The **[Lin-Kernighan heuristic](http://akira.ruc.dk/~keld/research/LKH/LKH-1.3/DOC/LKH_REPORT.pdf)** is one of the best.\n", - "* The **[Christofides algorithm](https://en.wikipedia.org/wiki/Christofides_algorithm)** gives a guarantee of 3/2 the optimal tour length (improving on the minimum-spanning-tree guarantee).\n", - "* `altered` as a function: we defined a lot of one-line functions that just called another algorithm, and then calls `alter_tour` on the result. Can you write a function, `altered(func)`, which takes a TSP algorithm as argument, and returns a TSP algorithm that does the original algorithm and then calls `alter_tour`?\n", - "* Why does `mst` produce an optimal result, while `greedy_tsp` does not, even though the two algorithms have similar structure in the way they iterate over `shortest_edges_first`?\n", + "* **Linear programming**: Look up the topic \"linear programming\" and see how it applies to TSP.\n", + "* **Heuristic Algorithms**: There are many approaches for using heurisitic estimates to find good (but not optimal) tours. For example, *ant colony optimization algorithms* make random choices of which link to follow, and then the links that occur in the best tours get reinforced with some virtual pheromones, and other ants tend to follow those pheromones. *Simulated annealing* takes its inspiration from metallurgy.\n", + "* The **[Lin-Kernighan heuristic](http://akira.ruc.dk/~keld/research/LKH/LKH-1.3/DOC/LKH_REPORT.pdf)** is a generalization of `improve_tour` that sometimes splits the tour into three pieces, not two, and cosiders all ways to put it back together. With this and other tricks, approximate algorithms can handle hundreds of thousands of cities and come within 0.01% of the shortest possible tour.\n", + "* The **[Christofides algorithm](https://en.wikipedia.org/wiki/Christofides_algorithm)** gives a guarantee of 3/2 the optimal tour length (improving on the minimum-spanning-tree guarantee of 2).\n", + "* **improved** as a function: we defined a lot of one-line functions that just call another algorithm, and then call `improve_tour` on the result. Can you write a function, `improved(algorithm)`, which takes a TSP algorithm as argument, and returns an improved TSP algorithm that does the original algorithm and then calls `improve_tour` on the result? Make sure it handles extra arguments, and has a readable function name.\n", + "* Why does `mst_tsp` produce a guaranteed result, while `greedy_tsp` does not, even though the two algorithms have similar structure in the way they iterate over `shortest_links_first`?\n", "* The code in this notebook was designed for clarity, not efficiency. Can you make the code faster?\n", - "* [William Cook](http://www.math.uwaterloo.ca/tsp/) maintains a great page on the TSP.\n", - "* William Cook also has a [draft chapter](http://www.math.uwaterloo.ca/~bico/papers/comp_chapter1.pdf) on Discrete Optimization featuring TSP. Like my notebook here, Cook goes through a variety of algorithms for TSP, describing each one in prose and in concise, elegant code. The difference is that his code is in C and has an imperative style, while mine is in Python and is largely functional. His code is much more efficient, but if it is 100 times faster, that might only mean two more cities, so the algorithms are more important than the efficiency of the implemenation details. (Also, Cook chooses a different set of algorithms to explore.) I find his explanation very beautiful and concise, and I think it is very interesting that\n", + "* **[William Cook](https://www.math.uwaterloo.ca/~bico/)** has a comprehensive \n", + "[web page](http://www.math.uwaterloo.ca/tsp/) on the TSP, as well as a great \n", + "[book](https://press.princeton.edu/titles/9531.html) and a\n", + "[draft chapter](http://www.math.uwaterloo.ca/~bico/papers/comp_chapter1.pdf) on Discrete Optimization featuring TSP. Like my notebook here, Cook's chapter goes through a variety of algorithms for TSP, describing each one in prose and code. His coding style is different because he uses C (in an imperative style) while I used Python (in a functional style). His code is much more efficient (but if it is 100 times faster, that might only mean two more cities). Cook chooses a different set of algorithms to explore, with\n", + "more emphasis on optimizing algorithms that find guaranteed shortest tours. I find his explanations and code\n", + "are both beautiful and concise, and I think it is very interesting that\n", "there can be two quite different approaches, which (in my opinion) both turn out very well. \n", "* If you are heavily into math, there's a [taxonomy](http://cstheory.stackexchange.com/questions/9241/approximation-algorithms-for-metric-tsp) of solutions.\n", "* What else are you interested in?" ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [] } ], "metadata": { @@ -4643,9 +2732,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.5.1" + "version": "3.5.3" } }, "nbformat": 4, - "nbformat_minor": 0 + "nbformat_minor": 1 } From 1b5f923e16cfbebd442e304affbc9696cbcde3ff Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Sun, 8 Apr 2018 01:28:16 -0700 Subject: [PATCH 53/90] Add files via upload --- ipynb/TSP.ipynb | 206 ++++++++++++++++++++++++------------------------ 1 file changed, 103 insertions(+), 103 deletions(-) diff --git a/ipynb/TSP.ipynb b/ipynb/TSP.ipynb index 6c40a72..7904616 100644 --- a/ipynb/TSP.ipynb +++ b/ipynb/TSP.ipynb @@ -213,7 +213,7 @@ "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -263,14 +263,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "alltours: 9 cities ⇒ tour length 2450 (in 1.088 sec)\n" + "alltours: 9 cities ⇒ tour length 2450 (in 1.040 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -372,14 +372,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "alltours: 10 cities ⇒ tour length 2720 (in 1.521 sec)\n" + "alltours: 10 cities ⇒ tour length 2720 (in 1.470 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -472,14 +472,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "nn: 200 cities ⇒ tour length 11477 (in 0.006 sec)\n" + "nn: 200 cities ⇒ tour length 11477 (in 0.005 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -499,14 +499,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "nn: 1998 cities ⇒ tour length 33688 (in 0.601 sec)\n" + "nn: 1998 cities ⇒ tour length 33688 (in 0.523 sec)\n" ] }, { "data": { "image/png": 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\n", 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\n", 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Be9MdjzGz7w/gmseY2be1XUHuvOzOL4FvAScTLvp4w4yLzNjEDKvRlyMJKH763xN4CngABUBScugEVoxdRBkUL8w7AmcDDwJrLOx0Rnf/kLCV70sVW3tvBm4245vAPsAFQBczLgIuc+edCn0JkiAzvkboKNcAtnPnicglyQLUCQhmfBv4G3AKsL87e1f6eF533nXndGA1YD9gJeAFDZPrlxnfJzz4NRn4ngIgTamHgGYCVWRGNzNOIJzOOA5Yy517q/k53XF3HnbnYMJy0fU0D5N/X8wiJGNmLGHGaGA0sI87R7ozK3Zd0rrUQ0CdQJWYMQR4FlgfWM+dU9z5Ty1rcGeGO5e4symwGfAp8HczHjLjQDOWrGU90nlmDCLc99ud8OBXVX+okM5L9tgIADOWAx5yZ9nYtdQLMxqBM4ANgZ+7c3Pkkj7HjK7AtsCBwBbAjYTdReO0jzxdxX2/vyHsCjvUnRsilyRtlEUnoN0knVc8nXkEYY12IrB6agEAYZjszi3u7AysAjxPGCa/ZMYvzOgXt0JZkBlrAI8BqxOWFBUAGUm6EwAwownoqz3mHWfGRsB5wPvA4e68FLmkdil+CNgQOADYlbB76ULgVnfmxKytbMx6rgADRkK/Rnj3HTj1ddj4YOAXwMXq1vKTQwi8TrhO7rXYteSm2J53CrA9cDQwJvdvUjMagN0IgfAdwlOnF7nzYtTCSiAEwE53w+j+0AA0AcfPgqW2dv/tg5HLkw5KfTkItEOo3czoYsYBwAvATGBVd67KPQAA3Gkqhsmb8flh8sNmHGRGz8gl1rEBI5sDAMKvv1sc7h4esyrpnBxCQDuE2sGMNQlPZR4CbOvOEe58FLmsqnDnX+4cByxHOIVyO+B1My42Y1PNkiqtX2NzAMzTAPRtjFGNVEYOIaBOoA3MWNKMM4GxwCXAIHf+Gbeq2mgxTN6FMEweD5wPvGzGL4sdUdJp70wOS0AtNQFTJseoRiojlxBQJ7AQxbkswwiXcS8FDHDnAnc+i1xaFMWTyWcQdqr8mHDsyHgzbjZj52Iro3TI+BEwfGJzEDQRfj9+RMyqpHNyGAwfD/QsDiSTFooz2f8E9CXszdZ9rK0ohsm7EobJq9A8TH4hamEZat4dtNUeMO56eOJY9+mTYtclHZdDCBwMbODOQbFrSUVxH+txwGHA74A/aqtk25ixMuGBpn2BNwhHG1/tzvSohWXGjCeAn7rzSOxapHNyWA7SFZMtmLEdYc17FWBtd85UALSdOxPcOR5YHhhJeDr5dTMuMWMzDZPbbAKwcuwipPNSP0oaNBMA5h+hMYpwJO9h7twZuaSsFcdc3wrcasY3gL0JD9Qt1uKY67dj1pg4hUCdUCeQODMWNeNYwoUcTxPO+VcAVJA7/3bnTGAAIQxWAJ4z4xYzdtEwuVUKgTqRQwiUthMwYzPCC/9gwlzkt+7MjlxW3SqOuX7UnZ8Qjrm+BjiCcMz1GWasFrfCpEwg3AkhmcthMNwF+A+weFnWvotbuE4jvPj/N3BDPTztm6timLxf8fYm4dyiUg+TzVgaeAXorb+beUu+Eyj2u08D+sSupdrMWMSMQ4HngHeB1dy5Xt9kcRXD5BMIw+TfEobJb5hxaYmHye8DTkm79HqSw2AYmucC78YupFrMWI8wmJwFbOnO+MglyQKKYfJtwG1mfJ0wPzgX6Fa2YbI7bjZ/LvBe7Hqk45LvBAp1Oxcwo7cZ5xAuZP8jsLkCIH3uvOfOWYTdWnvRPEy+tUTDZA2H60AuIVB3O4SK4x72IZz0aYSln8u09JOXYpj8WDFMXha4Gvg5zcPk1eNWWFUKgTqQSwjU1SFyxQvDPwg7T3Z05zB3PohblXSWOzOLIN8C2BiYDdxlxqNmHGLGUnErrDiFQB3IJQTq4jhpM5Yw41RCAFxN2Pb5eNyqpBrceaXFMPk3wNaEJ5MvNWPzOhkmKwTqQC4hkHUnUCz97Ey4L7eRcNLnue7MjVyaVFlxzPVt7uxKeMF8GjgHmGDG8WYsE7fCTpkArFwngVZauYRAtp2AGSsCtxAuPdnXnX3c63eXkyzcAsPkPQmX4cwbJv8ot2FysYT5CfDN2LVIx+USAtl1AmZ0M+NE4DHgfsJhb/+IW5WkoMUweThhmDwG+BnwlhlnmjEgboXtoieHM5dLCGTVCZgxlPDA17rA99w51Z3/RC5LElQMky8vhsmDCHdC31EMk3+SwTD5FTQXyFouIZBFJ2DGMmZcTbja8Ch3dnbn9dh1SR6KYfIIwjD5f4GhhGHyZWZskejau4bDmcslBKYCSyf6TYAZXc04EngG+Bdh8HtL5LIkU+7Mdef2FsPkpwgPEk4w4wQzlo1b4ecoBDKXRQi4MwuYAywZu5YFmbEx8CSwPbCxOye6MzNyWVInimHyKGBN4L8Ip5s+a8ZtZuyawDBZIZC55E8RnceMSYQzdV6NXQvMP0XxVMJhYkcB1+hpX6kFM3oAuwAHAqsDVxLuTH4uQi1LAW8DS+rvf56y6AQKScwFzOhixkGEPf/TgVXduVrfAFIrxTD5CncGAxsBTcDtZjxmxvBaDpPd+YgwzO5Xq88plZVTCETfIWTG2sA44ABgG3eOLPOZ8hKfOxNbDJN/BWxFGCZfXgyTa/E9riWhjOUUAtE6ATN6mjEKuBP4C7CJO0/HqEWkNcUw+Q53diPs23+S2g2TFQIZyy0EatoJFMc97AG8CCwBrO7OhcVFNyJJcmdqi2Hy7oQH0p414/ZimNytwp9SIZCxnEKgpsdJm/FdYCxwHLCbOwe5M7VWn1+ks4onk59w51BCEFwJHEY45vosM9ao0KfSU8MZyykEatIJmNHDjJGEtf9bCE/8PlTtzytSTS2GyVsCGwIzCDekPV4Mk3t14sPrqeGM5RQCVe8EzNiBsOtnJWAtd0YVVwqK1A13XnXnRMJtaCcCWwKTimHy4A4MkycA/Ws0hJYKy+WOYahiJ2DG8sDZwGrAIe6MrcbnEUlJcZT5HYSzipYmXJN5NtBgxsXApe682YaP87EZHxOOSX+rmjVL5eWU3BXvBMxYzIxfEnZSPAGsoQCQMiqGyWcDaxGGyY3A08Uwebc2DJM1HM5UTiFQ0U7AjMGEs342BQa6M9KdTyr18UVy1GKYfBjhiIorgEMJx1yPMmPNhfynCoFM5XRsRBfCBRY93JnTiY/TFzid8OJ/BHCTnvYV+XLF5Uj7AfsDU4CLgKvc+dCs5wow7Abo0QeeeADGj3CfPiletdIe2YQAgBnvEga2Uzrw3y5C+Inm14S/wCe5M6PCJYrUteL7aAjh3KKt4dl74Q8D4exGaCCcYDF8Itw0REGQh9xC4Hlgj/YelGXGQOA8wra4w9x5vhr1iZRJGCbvdzucs14IgHmagKFXuj+0d6zapO1ymglAO+cCZvQxYzRwEzAK2EIBIFIZ4eHJjz/+fABA+H3fxhg1SfvlFgJt2iFUHPewH/ACMBdYrbjCL5+2RyQL70wOP/m31ARMmRyjGmm/3ELgKw+RKy7pvh84HNjBncPd+aAWxYmUz/gRYQYwLwjmzQTGj4hZlbRdTg+LwZccJ23GEoSh736EI3X/XDwMIyJV4j59klnPITBxZFgCmjJZu4PyklsIvAd8p+U7inuHdwHOAu4l3O/7boTaREqpeMHXEDhT2YRA2Iu8wzDou7LZI71Cuzm9K+HM9OWAfdy5L26VIiJ5yWKLaAiAne6G0f2b9yIfMw3+x2DFk4FRnXmATESkrDIJgUFXwNi9vrgXeecb3O/aJVZdIiK5y2R3UL/G1vciL9GZM9BFREovkxDQXmQRkWrIJAS0F1lEpBqymAnAvOHwAO1FFhGpoGxCQEREKi+T5SAREakGhYCISIkpBERESkwhICJSYgoBEZESUwiIiJSYQkBEpMQUAiIiJaYQEBEpMYWAiEiJKQREREpMISAiUmIKARGRElMIiIiUmEJARKTEFAIiIiWmEBARKTGFgIhIiSkERERKTCEgIlJiCgERkRJTCIiIlJhCQESkxBQCIiIlphAQESkxhYCISIkpBERESkwhICJSYgoBEZESUwiIiJSYQkBEpMQUAiIiJaYQEBEpMYWAiEiJKQREREpMISAiUmL/DyEyXmQk5TkkAAAAAElFTkSuQmCC\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -626,14 +626,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "rep_nn: 200 cities ⇒ tour length 10461 (in 0.159 sec)\n" + "rep_nn: 200 cities ⇒ tour length 10461 (in 0.143 sec)\n" ] }, { "data": { "image/png": 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\n", 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -717,7 +717,7 @@ "data": { "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -815,7 +815,7 @@ "source": [ "# Improved Nearest Neighbor Algorithms\n", "\n", - "Here are three ways of improving nearest neighbor algorithms:" + "Here are two ways of improving nearest neighbor algorithms:" ] }, { @@ -828,10 +828,6 @@ " \"Improve the tour produced by nn_tsp.\"\n", " return improve_tour(nn_tsp(cities))\n", "\n", - "def improve_rep_nn_tsp(cities, k=15):\n", - " \"Improve the tour produced by rep_nn_tsp.\"\n", - " return improve_tour(rep_nn_tsp(cities, k))\n", - "\n", "def rep_improve_nn_tsp(cities, k=5):\n", " \"Run nn_tsp from k different starts, improve each tour; keep the best.\"\n", " return shortest_tour(improve_tour(nn_tsp(cities, start)) \n", @@ -854,14 +850,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "nn: 200 cities ⇒ tour length 11477 (in 0.006 sec)\n" + "nn: 200 cities ⇒ tour length 11477 (in 0.005 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -881,14 +877,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "improve_nn: 200 cities ⇒ tour length 9523 (in 0.070 sec)\n" + "improve_nn: 200 cities ⇒ tour length 9523 (in 0.087 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -908,14 +904,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "rep_improve_nn: 200 cities ⇒ tour length 9450 (in 0.333 sec)\n" + "rep_improve_nn: 200 cities ⇒ tour length 9450 (in 0.472 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -956,14 +952,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "rep_improve_nn, 50: 200 cities ⇒ tour length 9264 (in 3.631 sec)\n" + "rep_improve_nn, 50: 200 cities ⇒ tour length 9264 (in 3.695 sec)\n" ] }, { "data": { "image/png": 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GYzDGUB1aPxB0vI3gsGvjxOZsdbYPw708RPwD+FjilfSrmN4frltePL5Or3mZx9epWj3LxjL2kNYtlCZ1l15tD6vHFs5ZAaIz4Y2bYrM98HgQFRlDY6AXcBkwFbgXeFMZKA8llhpDD2CoMRwssTIYWms1gdOuhMcbQPUGdgH0PsKY/hfCoHVATaCWTynrfzWAX+HwSnF8iY2hCTRtkViJvHgZbNgjG2zbjaEL0AFomUk9VgH42SvQ9xhYszo4BeDK5VnuJxBzTO8PvQ4v4VcSwOabJFxfSwqvJ2rsmWUlJXNOpKjxlITHgkZgY5M8Qgk34YBoHRSkfNz/Gn3retA3oInY4PXDse76D4LuxGY+uswTQ3UCHYEN9L87qE6BbiGOdrpYL7hl8MFd2SwTx8YaWQ46MqD6RhOwizd8/gT0WR/3sczmUsiPrlsG3SZFObbOO184COoBein5ASv5gvdcCbNng2aArgTVDJHWQOXjYbvFx00mDroUazVxQiF9ieJvhJNpKcB+GNBboIEB1rmIALItFY5dj6/gtg3Q9uQ4j2WuFNANoIcibdN9p4vuYBd8mlw2eT9j+9PHEFHOPGwkwmWgYzKvK/yTchwYorf5/QM0O4wbUnT9KBjLK2bBjauh2V4Bjc8OoF+SueGVZTIYt017WyrYZMxjI23TbYfLXmygqqAWoHOxbscvgqZC/z9caoOLTNjxWLf5ncMch2wtxRlNu+EwYwLWJr+ua9riOFckmb3In4ZD9gYdBN0mxk18tq0U73C3KqrDpOScifudQK9bApqLjVw305Nx34O15z4Ejn4xLovUysdnfghHZORIEYeTcrDjkojR9P4Jdo99Yuay+xXerQl0NejJ9Gm4/XfQN3DdijgccrbF4onYVhNh6kPH1il+0dJ+XgucA8yT2FLyKWO+vhl6HepMG1wMTf4LXa6HMUdlEvHQ+2738r6XPUiURuz+2jD1bqCbQ8IyRDiZdTy0gGRc5P1omPGRxLHGfDIENnTLW6MUzWgVTbRBCRnDNOxcRpL+0DET9wuR+u00yT+fYrxiMTS8C+7dvrQN9rxB5BRTThV+jKbd2cawGXgdGCuVMrCNOUIN69sCeC59Gpb+YH92bPIWE0QRUtoHBUx8TIhtFMLt1SP7ZcHZnnAhvHHxu/KfMAp0LWgcaB3WpO6yKK+fmfWrZpMwwpBi4/isB9VOjoaS702v9dByZBGRXttcEs+lN6btXnIhdsWGIX4uqn46PYnH60SdLrI+4UJI8DsNTuorsRD4pzHUAU4ETgX+bgyzsCf014EZUulEve6xbh0s+ANOehF2rB/gmt0TWCXxc3lfTPDerIe/dIKPTyt64oTXOkiTMqUra+Ctp6OAdra0beHIyW0a0CfkNgrherfM9gLDzrMRDrP3NhHe2CSvrMUmNOiATSq8CDQP9BDWeauy674UobM7aFQI9Z4Jei29Z+PnzBXRXNQBneqZrX7lmWe+B7oNdCS0HeYzLvPDfD9B1UAbo1q3cXO7zyoYQxU4706odiV0bJe9t4lwkIqyVjb12lhgrDFcg5UpngrcDzQ1hrexJ/R3lMRpNUR0AV4Lod4W2BNcGvDTP+wSq9goZSkZk1FAlj5p0wz4BJiAPfl+riIp/IyZ+gP0al38NngH8PQecO/YsGTjEhuN4Xtgb0gtpnyaDbrfUbO1eLbrI13TkesFtCvoCqx35C/YkAdXg3aPmI6q2AiYO4VQ9yjSjIDofxK/baN3szkKz4HIVVzxsvRf/v87p0WCk/YY0K3YEBPlJs72+jsfbhPcKRv7u6CN8G4qoJdB50UytlE0kosFtLdnD9rYNS3bUsGGfD0DG1J4FTaP5d3YMMOhOliATgJ9FFLd80F7p/esHxO8rz2oPzbRylL48lm4ZIkL0Z//RtP5TVsS/W/Ab6ky7cRtR298ABoAui/scZXy4pS04GUyfxybgut71/RsS5BYD7yKzepeETgCK3YZBlQ35k/F6HiJzQE3H4ooxRhqAfWBeek8728g8PxCbGjnQcawDzw2HB7Z1Y05rJ/IZ/+jC38u+b+ZEyWOz7xtJ8YH04CeIdb/J/JMPD10B+oA/3JNyLYM2bDCH3nlBsuoOBW4FXjRGMZiGfqbEqszacsYKnh1H50Z1QnRHGuNk0GY5LL1DxKzjPlxbWJm2eoYYzgKmCixNV0ayoYfI/3Q2xQTOScV2L1nikSWUlctCtluvsBWPHxEcdyPQwlKFgiqiw181cp1n/KlzHnaCXQR6FXQz6APQX9NJLIob23Y/5/6Nty8Pgw5Mjbq5lPhj4mfSOPSKYUil+Iy9GTGJ7m205GJBzfOxS2les2Ez8sNb5DhnFbA+kHUCX1ew24gDiXIRYKN5z3YdZ/yJaU5q+rJs5/wGNV3oPtBbWGXPcsOwhYFg9HjoD7hj0O5Aef2KS5D12B47uzg3p0CRvrXNXDOhNKRF6NxTgLtAVoDqhHyupsEOjr0eQ27gTiUoOxovRPKEpLwqsuXeBbvhNQKNNAyq/6bEq+N094FnQDnfhB+mGBNJICQxsm1lRyzLGToNwWe6xR0F+hex+tgBOiqkNt4AnR12H3JSZl4aZvTXfdN13OrsK6GjaBZS2h7i3SySzvlEnQltquNOvBPtkBW5vu5VwYYM28SVG9T/FvVgb0PA/pBo7+E6fXnydoPIG0b8dSQrO2+xCxgkDFz2kP1Y4v/N+P+fwLckMHzQeAh4BljeFyh6QGYRoYp+5KCy90wnN0v0ZXxlK0+ssCvKSMAf1xju5R/LY4n3XEs5d3SwvaGBO0JWux6HNIdnzT7XBdr813JXb9kQF+AOofYRlvQJ6H3xfUiCX7gEi26mYKu64oztR4L4NvPsHao9ZOvy707sz9d530MuhR6fB5HuuNYXG+IoNNAb7geB3/63ukLfX8NIeDXd6AD3fZN3QkxCw+oNjaoWSC5eP1KzohTPNvtNtC6Xenr737Amm+g44KidrTw7BKsH+7XxnAh1JpbXARRv2mmV+lwxBq+Ma33Ao6A2g3KMCXrCHygIu7J2zLKC8IWQZC2FsDUgOoKFMawG5xwK8w7HTqeH3D/PwEOx23fXwLuN4YWUvDiLImfjWE1NrjZ3KDrL9KQ+90++Z0tYYb7ptjM73Pt7n7plFRPoaAOMHc5XLm2+Imj8x+ZnGjDOsWlLwK49GtPY/4T1i34AtCO5Y2x63nP5eIp2M51TUcCuipgwwXfGlL9vUD/jUE/bwM9HWL9r4NOD7UPrgcx+cFIxBCv2QTzVoMe8SwOTLqME457JTkxTPJMOCxxDHTaH/r6Rk5MwpRsZ9DFoJFYG+qPQDfA/x2Xl6VHuZ7bDIFbNsKJr8dtjEF9sVYzocitQS1B38WgnzuBfiTDPLll1H8P6I5Q++B6EJMfDD+GeOTQ0t9N3ebUP75Cx4np2q/619ntUzKI8wH6L3z9Qll0pWBKVhV0IuhxuG1DXpYexVqOt+IZ9BdsXJrQ8qGCKmGVm86TZmN9P24Pqe5zQSNCpd/1ACY/GOEGsQlHC+9X5y2/YL0+nwddCGqYwqI4GzSbEBwV8lmKoilxVZhb2rQd6EtQzwjaGg/qFIM+7++9j1VCqHs/0Jww6a8QnHQ9bBTEXiiKIIPYTO9vM88UtBFEXkK/Ov91AHAk8DE2Hsd0Y5hhDA8bw8nGUKNoLcbUamLMEUOMOW8iDHgOnvqrbCCogBH2GOdhEWqyZaDomjlznP2s1STJRwcAy4CngqKlDBQoN51CYgbwDXBuCNXPAXYt+U4HCte7YPI7WtTxFYJR6tk6e30Lveb41YnNr9gaG3JzPNYs6QNQf3j6dLggkqt33K/5uVLCtz1PVy+kw0HLiSjfKTZW+Luu58PSMuIi650avELfu9kcFhrtrgcvtcGo2cTGGD77g2yynMBagpyTwvere3Lqf8BNP0Z59S7cyHp+C9cuypYxzqaSmMleGFjKMP9N4uzxoIZF9TGF833WBLhlHbx+RXTjoPpYS6lQ7ajTm49AfQH+C7osLPqzyk7c2uwi4AQFHys6TDQCkg6rKbEBeBt425g5LUNwey6jbeuW7aXCWggP/xhGO9syStueN9gV+nwg/W9hMC34iWt2L7BJ32oMX8Fn8+DcM+HhBkUSLN9gTLd3owjRILHCGNYC+wDfht2eP5oPKgxTCyHEWf+GEMPSZhUT9+JMbAf86pqWFLErsCS9R50EtEfiR2MYD5wG/C/MtrZFFI1hYgy7wPyZxnTcEWrVydwpzG/NTH7Ha3NX4GB4amAhA4dok0T8iQK5uEMmHrqOYhpW9xUKskixCXgMXEKuCUkWXvaZBlhlURoIQ+GaNIYB50fQzjaOWlXgAcGoM2DEsfBeN+gyNgVlZAkkWjO3bIJHfgeQWCLxOqxdE7aCNQlMBtqU+61QEbpCfxrQwvMqDx4uZVGpy63aDYf+W7JMHr4LaHnmfY8m1nIJ2qthHSESxpbJl6DGOQzz1pJrpssBoG9A14XZbup0qhVomtvxjyRm/HJQo1Dodzl4cRrk8GhXK9CXrunIgP7niSBhwbZcorLPB+0G+gHPDTwO75Vnl74BVNPtHBRseudNgts2wo57BNzPMaCTwqA9S2TioSsewkQG8vBYYBhwOzDYNSG5izp1o9B7SCw2hlOBd4zhB2ndZyEH90qGpt+MYQrQCpvU2QlK6ChmwKCdgQUBNlGQc/OtAOsEskYmHr5zRIhIyTIlhhgLNDWGPV0Tkoswhm5wy45w1cIo9B4SXwKXAKOMYQ9p3UJpUnfp1fb200nikMnEwOmnCEYDpwRc5zRs8o/AkSUncT9tO79DeuFeI8x8k9UncYktxvAy0BW41zU9uQRjaAf8A5q2h1c3wOxITsQSo42hCfCmMRwp4dqM9BOgh2MaiuB/n8O3Txkz54gAecM3hJXNyKUcKjV5VUnZ3WXLYO4y+Op56yiRvFwvSlmgJ1Pu4XoMM+zDkaAZZBC0K1dLuqF7sUGmVoDaO5zXh0Dj4C/NXIYfBjXCBtxyvr7CCx99yN5w++9w5oTAPUJdD1pqg1vcQgO0A1w1J7GG/dwPQJeDbsZmNn8aNAr0Edz8U1RaefuS6DjX45dhHyqAFoFauKYlTiUD9/YGoIWgCx3Pa0WY/i5clXa45QBp+Z4QoyYmT0dYlkLhHRqzRJxSXPFQFMYs+x6q71X8r9WBXfcDDgPWAmuA2d7nWvj+fqjeuvQzocjYs10mjsRWY3gBOI+IEvpmB1JXuHuBkN4AnpF4LiJCE0LiD2N6r4W3aro0GrCizUu2wobXjZnxtduk3n76t47djOEcrAg3mfJH4c9X7Al37hzWGGcNE/eHr3faGInLEj1hzPw5sKF16WcqbA1SVu4Z9+9KjJl48v19ZAKseMWY7w6HZT+4fdHiAr8Xvu3JxnAl8KrEisIxbrgr7NYMekyCAwdGT28i1Kvv0mjAjk2XsXDPbp7r/1+g1+HG1OrgZn358ZP3h8FdF2N5ZjKlYuHPq/4F1Xcu3k6AY+z6+pL59Sf1q0riZy5ZAuNXQa/VQV17QHVAP7seo0zHLg72xHEs/lfvcyaAhlpHqW8nQc+VxcfugtiMnWuHH9ftl6Yn+LUeetRK14souIFPNZNPIhl7hxFBDjaoOWiG6/HJdHHF7UWLS0kiDd72lqHHd+xcb9BxTEQStId0XiaeBPzk5ck+YwMQcT7cfHzAV0vn8vBE4hJYtwjYHw48LLn+ZrWdfmgojEa46T+w58Hw8VtFxUwSm4z5fWucx66wDzXeBirB1E+jFZW5CfBWFtLhJ+XVF6ZTVU4w8XRgDNWALsCFWEeDkTB7MmzoGOCCcmojXihvLFC+bQBuOhXmb4I9N0CF35N7gVYuj9uLBpHa+vvCC4/8b+AcKdGLHz8mVRJeH54BGkj0i7b1mz+EAV1hYMUi4XCjCvAWGYLeGEpU7v5KF901SRVAx3jmhj+C3gGdD6oWxrUHdAdooLv++olBThjl399rNsLuTQvrUDWYMQ76rI+TTNy1GKDEPF8BeirudJbTh25sdUVjAAAgAElEQVSgFyNu83jQSni8s4sAb7lStomTuDE0Ay7wynpsfOz9JYqdhkK49uwKfJkJ7ZnBTwxSrRYk6u+KpfBUI+j+V2OOqAmNGsPu+8IFk+CdlvDFna5ibJRGrOLp1IHEXo9hX6UDxA9AqCKe4jenrVvgwUNhzy5Sr4+h1xthtp3LyFkmbgx1gXOw4pKm2EBOZwBTJP945AFfexoBrwdUVxoo/ypfsr/GXHQQ1P0M3qtU5Hp7ACz/XZodi2BjxtAADj4iRrLmHfBh4hDyVToJJCd2utfA+oOMmTUuDNFUYtHetUvhpSWwLqhmtk24vgoEfD3bDpt89RXQz6DhoJNBlR3RMxXU0t14pGN+GV9LFNChoOesKKz37LjQCXoS1Mv1+KS7Bux3LpgXbjzt9NdVOqEN0g2HkI3FOQGZLw4Z7+V+xMrX9BHW3X6HGNC2BrSTWxpqNoF2L0H/35NZzHEz+QJVBp0Lmoh1/b8RVNf2q/ePcZA1g14Cnet6vSWmzY95Xvwl6D7QU9B3cdgbYrrrKjg/kPjpIYIqWStOMYZG2CvqhUAV4DmgjcQ8p4R5MIbtsffG1S7p8CwPugK/wcCLJbaU/UQ8rCmMoR7QE+gNzAP+AbwmFUSuXPcjzP0Juk6Cyts7ljX7ysTdw08vUmMn4BdgAfxyOFRvXPo7QYqm0l1XfrqPDf82hkGJn+nQP0b6ktCRVUzciztxOpZxHwK8DFwOTJLik3fTyv+OeBgOFkx43hjXiqxau8G1v8PsccZ8v6hsZje9P/Q6vLjsMjqTL2NoAVyL1V+MBE6R+DrBV/eGvSrD6M4xmPs6wE+OafCBH/P84kPJhhY2ZubRsKF5uBt3uuuqyZ6JN6G9WoEfE2/WIkb6kvDh+ipQ/jVMFUHHgf4H+gk0GnQ2qKpr2hLTG6+rXPrX0ehMvrw5Ph00AZs+7LbyxFCgfqAnXM+3R8s8UDPXdCQ//z1XlJaJh79mbTudXoNbNpa3rrBpDV+E/ptTFfXEWa8Tyhy7JqCMSdzPk9l9D/oK1JcsSNgbtwUUN3pKzHEd0F+xYVkngbomq4T2GH5n133waFkDqueaDn/6im7KJ78B81ZTImlvVBu3N+c/+fyvAugU0Aee/uM66Nw8vUPI1bHyawizOBOn+LiDb8BmkLkQa2M9BDhJ4htXdKaOuLmox40eMIb9gGuwc/0GcLbE5yk8Xwc4GHg/HAqThzFUAGoTW3GK1YtQzIyU/sDTxtBJsqKo6Mwg6+0AV9c0Zvp4WPqD994vx/pw9MPKWR4AXpHYAqNJ3c5+XUWY/yucNBp2rB9j2/xg4O5kUHJ37bMe5v8MGoL15KroeodLr2/xOvnGhR7vlHUyNuv3ctCdoF3SrKsraLTrufZoqQ1a55qOFGmuDPoCdHm07SZ673utgXkrQW+A2hFAdh+spdq9rsc5snF10qgvYzkmUrffcPqWaKFetCheMvFLvo8uSp1qga4BzfEYxwWgKhnWORTU0/Vce7Q0AS1yTUcadO+PTYm2e3Rt+r33J74eYL/qgNaCGroe46iKI3GK3xW/7s6Jvp1NKO1mvUNtuOEX+O+ieNBTycDf/gJPB2LR4ecN6IU6uBp7TX4Pmwh3spSZJYkxVAI6ATdmSntAiLF5oT8kZhjDA8AzxtBRYmsY7RRfH1X+Yi1ui7771YGqNQJs8gpgtEqE1MhlOGLi8bBFDgslwtxWBr7GmsyNcE2PR9P1wGgv0/kv6dbr40p9rDEzv4O/HAD8B2ghBRrJsQ2wSIpNtqSsZOIeHsSa7PYCHgu68sTrYwDWgnR371vBvffGsB3QBzgpiPqyBi6O/4mv+NdtgZGXur6ahNNfHe1Z2dRwTYtHjwH925NDpq178L8ed58M2j4k2u8H3eV6DIvQcwZopGs6MqB/H0+ssmfwdfutj/6hWI14orqxrsc06uLkJJ44stulr8BpTxnDlxJTXNAVFiQ+NIbxwO3EQAwgIWO4CngH+DtwfSrPe7lDD4CD2iQWi23YJLEpGGpLoTNWNBMXZPNJHIlZxnAf8F9jOFYBiVVsopUDWydeH1NWwBkzg7AaKS6uadYSWl0PZ2ZCevbB9S5SYic9B7Q4XauFOBdQfe/E09w1LUVoqgOaBboiie9WBZ0Iesybo/lw5XdRWr6AmoKWgSq4HjtLT80mNgZJn8XZHGQJ62z1MejaDOvZGXQlaDzoR+gzP/H6uH4Z6Khgxj8+jnXO5s81AQkWQn/Q53iJGnKpgHpjHRkyNqMKkKZmMG8VnDm2ZMQ3UEPQZaDXQOtAH2IDUO1nRTJRevq1GQK9ZsNVcxLVH3XUulxjIHYdaDVo7xSf29FbI+9hPaqHgU6zm36iMbpgLoy90R4CNBZ0VLpzFxfzWdfFOQEJFoXBhhsdEZcTV4B9q1hgZuealkKaajaBS5aUtt2dNc0z1XoBm/2orv/z4Xn6JR9KNVqGmosMBNQH6zlbpp4EtAPoItDb2JDPL4POSnTw8lsfWFv1S2DuYptNKvW5i1vETWfz5poAn0VSBRtS9j7XtITQt9aeSMB5qFxLjx8zOn0MjuKwJ0ffqW+DDrPl1LejZqi5yEBAFeDbyVZEVOpWVgvUHRu76GfQSKzTVUbKejhyaPpxxv3WxvkT43TbDbvEMoqhxK/GcDrwqTHMlviva5qCgsRnxvAaNgLb1a7p8bfZp5LKDVsbBfzo2/cI4BH7+777Rh9aIBfNZGvtBmfuAv/avdAk8LoOxsyYAvu3AT4EhgPdpKDS8dTfJf25SxQZ8ZolcEdtYLwx9IZaG10n0w4drneRck4G+2ITPRzjmhZ/GtPJOqK6WNfzQ9zTH2+xQDL0uegD3H0MXPd7rsjEyx7HbpNAdeK4/hKJazyx5VUwbw1cGYvEIaHOm2sCyp8kdQCtIIahPjORxYIuhllT7HXSXQqpuCvo4isT1yiY+LdcytLuQkRk5+7azUHOXSFj77LS2qQvjOUBJbAxdE1AcpOinqDZcN6Bccqbl1newB33gGs2xYF5Rh0/PAz6Cr/Te67NvxkqAz8Oa10Ry5j26ffLxY1Gx8PsOXBEIOsv8YberwQjz169RcI+uyYg+cn5/N/parHDoyn9k0vcxRjZWkCNsPG9w/IYrQiaBjrTdV+D75uTG80HoO7B1ef3Xt2Zs+9YLBWbidG3Ory7fVzy5tk40vUbpq/cil+c71yAxBJj+ALoArwYQhOXAWuBV0Oo2ykSe1KHpwg0hqOBRgQ6T37v1VaiTjUYFbKIiWeixQ4WXlCrp+GaddB7ATy2R6F2vM/3yS2SyhVzz7ohNvgf1jU/UCZuDLWBu4ATJed5PUNBdMkhALgNuE9e8utg4Gc19OEKeG9s3jrFYSlD/DA/SpEKaHvQ66C3QNWKy2u7TYQ580A1y3i+Iug+mLvExvUO9uoatediHIudl+BjSoP+DvqP6/7lQsH6SywGbRdsvX5eorn7HjgnILPJ6SeYGZls3HN4mIB1LU64+EBPgl5K5GwAqod1Tx4L2ilohWLcLU2iXS96CnRjgPUVuKXHPs9rNhRsKIerw6m76Ht1/Q/wwZ2u+xtmMbbT2QEvYtk4aL8HVAYuwsYl3gB0HCpNCvQaWDxC2o9r4Il9Ye+PgKvlE+3NGKoCE+HDN+DmpoVOBhcNh56DsVf8/gr0ClnQ9hFD4L1upa+SwY9N3GEMbYEngeZSeqKP4vO/WzM4e6h0xM2BEroNwhgOxEbQ3FPhRbssaKs5MA7YV2JtmG05g+tdJPVdNhpb1sSn2ivXJmcDPqBtaUeQ636H18uNFhjO2Fy1ANQi0e0gVws2Bs9c0KHBzf8F87bFW00IczMc9NcI23sc9LDrfodVKrjaPNJHgeKiKMJQCDYfVOjOC/bz73Xs38vD2F4wsGLxZwdWhPuOCpbGkvAbm983Aq8D3xnDIGNo4cUEx5haTYw5YogxZ46zn7WahEtjNJAQVsF5UXo1JJr/x/dMbv7z8IMx7AMcCzwRYbN3AN2NYe8I24wMWcjEp/eHvssLmVVYZkOZmAC6Mh+c3t+ORcmxGXYysAc232UV/mTonw2Gsz60IpgRx9rPLmNzhZEDzwPnGkOV1B/Nm4CGhFuARyTWR9WgxErgfmwClJxDFpkYWlhb1m8+hyvrw/oN4dmyZhLgyE1wpEI7X/Mi7LgbfDquxNh8BnxmDDcCh8Izz8LgxnGxvQ8aEguNYTo2G1CK+U395nDNysAI3MZgDHtg52IvB83/E+hlDO0lxjloPzy4luekId+qjg2FWS/cdjKJi+LWSgSbazAJ138/GfrFU60pZPabK8KYftD3+9QTDiSaw6vWwZz5oFau+5WNBfQEaJDD9s8CTSWDvLJxLFl3Esfu5JMlVofZSOGp9tuHYbdT4Y9VsPyb1J6NxvMtAX6FZEQIfqfNeg1h3iLoVhUe2LHQkanX4cbU6pAtzhJWLHRab3i8EVRvlEof/OYQ/tUKeMMYHoGGL0CTu3M6zGlAMIZGwDngVC49ArgWqyd52iEdwcL1LpLGbvoq6OJo2spOu2tQF9DrmfQPTnkrsXNVp9ey5SQTVnwaG59l5sS4BDDLhgJ6GPRgDOhoBVrq55Dnd/uM863UOQEpTkAtbK7HUGIbl24vO4NUgTqB3k3uu37ps/xELbdsAm30rqUvgAaAzsTm3SwzE1CULwJoH+i3KixzVBt1r+TamCnrQZw9DCCi9bgzIXjQpk/P1BFw+TeJ5ynhoaZtnA9zzglIcTFckMwJM7j2si8Fl12IZ7wHN/yYCcMoawPz9BIHY9N13QsaBZoN2gSagc25eBfoXNABoCrRJVXWzqBHQavg4q/C2oRLr42Fsh7E2cUAolmTug/0qGs6LC01m0CPBYlvn35rvt2yOB/mnBOQ4mJ4A9Qtuvay6yQeJKNMpy5QVaxTUVfQ3aBXQDMtc7/l58RjeeLr2HAEKYtoip9wj34BJv0d6xr/MGjHMDeO0mvjTiXuX4dV2bSGgl+TqosNDby7a1oSz1vBfPTfDAO2Jj60nbclzoe5rFFsGkNd4CjgvOhaTZTDb8AfcM2b0dGQChI5qKRnMpiOclZiMzDNK3/CGLaDxR9C9cOKP1EdaHkcMAuobQw/AquA1d5nGT8fWg26vFV8bm5eD2NOlu740Na/bk14CuaSa2MLie3K69Xaxu3N+wCjJBa5JsTCz/5/9mewdAlsOK+0on/h97Bhj7hGHM0aJg6cDoyV+CWqBhMzsqtGQ9fBxrBeYnRUtCSHYB1UggpLKvGbMfPnwobDSr8IE0ZKdDeGSkBdYCev1Cvyc1Pg8OJ/79wAbqhQfMP6Ww3o2BMKmHhwfSjdp1Jro0niF33RD4n/vnN9Y6irXI3nARhDLWwy8CNc01IIP4us7xd7G3Pr4geDXvNg+kXQ69kEf49HXHLXV4EUrmVjQGe7psOjpTU20XFX17QUp+vIoXG9ugct2oibviI1pViPBfD1MCu3100UC2mcO8pPr29DXdORyjr0V/TXbALnTLDK8njNj3MCklwMO4N+AlVzTUsRmg4A/QC6zDUtHj3bwTdvQp9YpbArTmNwoXfjqK8omwEk+rv2sXqDucug58q4zlua67Gad9DZ3zUtQa1DrLPQK67pL1myIhStMVwJHC1FKQ8vH8bQDHgP+KfEQw7p2B54BdgCh94I293uyMkoMlhHni5jS19xX8saZ6QCGNPlbRjWKZdCCBvDtdh39kzXtAQFYzgf6CxxvmtaiiJbZOLngjsm6QeJOV6ewLHGUBMYKEWbtstr93VgKXCR9MUWciDuSXmIgVdsgKhUJZeUn17AsRuweU5zCdsBv7kmoiRiz8SNoSHQAhtEPnaQWOwx8jFALWO4ISpG7lnsvA1MAXpL/BFFu3FBxPkgQ4SbgGlBozCJxgGHQnUD/1kD61yTFSSqEEMmng2haM8GRkv86poQP0gsB9phTSCfMIaKYbdpDPWB8cBHQK9tjYHnFhKFEL51MzxexbPaiT0KxVvvdYMn94GBDXMsrDHE9CQee5m4MUwCBkm85ZqW8lBatMGWkNppDIwFhgF3Ry3CySN4FJ5iC0RDVe6B8Q8CfwDnSmx0TGKZKCM14ALYZWHQAcKKp86LJviYMfQDGkr0C7OdVBFrJm4MuwNfYgcudjtgIhRRMv6Offk2B1z/Xlhl6r8kHgyy7jziBWOoDDwDNAFOlfjRLUX+MObMcTaxSEn0BwZRVPFs/54+A3ah1LZtnjMStq8DX34cJ/1L3K9q5wAjs4WBA0hsMobTgSHYkKWnKYMsJsVPHJs3wCOHQtM7JP4dGNF5xBISW4yhB/Ag8KExnCARUzm5n1y/svdzgffw7Idg7wOKM+CrjjTmb5daj1tqe6VWkZ9L/N7rILhjx6iSmRRuGv8soHn3OIVljrtM/FxguGsiUoW36ZwHLAbeNYYdyvq+X57L4nLGEcfCS53h/wzUGhN6J/KIBSS2AtcDQ4GJ8c0TmUiufwfFU5xWBxqeBE2a8mc6gOrAo01g3UjgMeBm4Hysfml3LI9aAkzG8oIHYMXCaK15/MJZxCTfqmtD9TIM6/cCrQBVck1LBn2oAPon6Gu47BD/OMV+Mb3j59CSjSVXvCFBl4GWgQ5xTUvZ43z6OBuSd2aCtVsQKKyfbOTHgv8l72nr/14cPzKk/qy1dC8s0WY8AmA5J8B/AHUbMQlfmWE/DHw6GPr+lhqj7rcMbot19LRsKOm6+8eV8YNOA60EtXdNS+rjXpRxFzD0gp+TP5gkrvuKVTBvJejI6OiPx2HKOQH+g6hpoKNd0xFMX8qKze2b53IKHPdK/iQe1tgf8yI2dG6F0s/EO6MT6BiPkZ/lmpay6SzvJHt72mObyHUedKI3Lt0zp90vDtGd8VsPrglIPDknvg63/mqzp8RjoDLrk3+wprIZfLyZSdyLvQX1+DLx2Pf/HbTZ+/13bLainywTuG1D3DdPUEts7J5ermkpn1bfZAvLg77lgJqDFoAGJtqgy3l2Z1AP0PAybsFr43Qzkxwz8QRX1pzMgpI6o+79U3nBk/KlrPFWPdD1oG/h5p/KYsiW0asSNltRHVB96DoxG8RYoKageaDbQcY1Pf50RnsY8ZjxRNBL0HZfP7EYVmd1qDd+n3qb+AjQJdBhRNw38j/7Ea+JPSH2J6Dg+uoX/vKY4TB7DuhK13RnU/FeyONAL3ov43OgtullKPLbdI+MVVhVr98NQFNA/0r15BktndEeRqyobOpIuHZz8bm/cD6M7gV6Bqsk/g70IKg9aLvi9GbHgdLhpCZ6UW5LcPpR7E5A6fW3ZhOrrLzo6/IWMdYyZzkxV15FP36JrHvUAHQzaC5Wj9KHEom0U2UgiV/gPhtg2ijSSCMX/tioNmiCt4Ft55qeuBT/zfj6H7x10jS5NRfvW7BDZ59EWWgqkwuBgBLBRt1jE3C2xNyyv8tcYzgPeMEYjpSYFw2V8URiD71r2xszfSo0Pxx4FegGfCaVDkGQaqCsxBESf7sbHnkceNIYesrab8cCEj8bQyfgBeANYzr2hQ23RumSHk/4ZbpaMEticHlPZ02AtXjtkjMFXddlwxUm9f6qMujXVE5KoF7YRMO1XNPvduz8TlQXfBrl2IBqeLLWf8ZRBm1l+1+/UFqEkBvvUHDrJrvFsyWLQ4/NRB5e986DN0+CjkPhjPH2M/uC/PugMbBcKYQQkHgCGAczRxnTdmhJj85tB34nqvUbpOhincqGTzgJaAvcE1W7yULid+j9B9xTJbbehZEiEY+JUW7MgOBMnFJ4Za07ATauhxlTilz7PnZFV4jYA5if+mN7PwwnToN3ty8S7Cc2cRuigV9cjr0PMoY7sAHHZkrhR3OUFV2cAEzwkmXfG3abqSHYZNnZjNxKHOIPpwGwPDnxm8B3SkJGlQns6XW/h6B+G/gF+GkyzLsuwgndE1iQ+mP17oR7t48q2E88Mb0/9Dq8dNS6DjdhT8VvAxuN4RUsQ58aJkOXWG0MHYEPjGGjxMNhtZU6/Da81SscEeQUcZJrhxY+17U8B3QHaGC4bdRsAucvLC4nvE5w2sIoZIW2/Z7Tofe8VLXcccvq7m6d+FsKYG29W4PuB833LFX+5tkAm8T1ZO5OD9oNtBB0uevxKd6/kpY1V/8Cs78F7RvXcAK5XsI0WYxB53Ql6Ilw2/BTcPQXXLcENNSzsx0E6ge6FHSGZzt6EGgP0A7p2OFmOnnbinImwPVkQAeD7gXN9pjsg6A2sOMeqcxFMgzPMwddAurmuu+l6S7mkn45zFsDPVfklZ4u5iS89zgO8cRXAjuH24SfnLAC8NMa7HW8DrADsCuwf5Hfi37WMIZ1wE/Aj8l9tr05cRjLZMUhfqKE3FLOBAUJAV8BXxnDbUBz4CzgP9CrCdxSLZm58Ek8UEoXIWsOejzwvidaGRl2H8uDjwjhKWP6nGrDGW/LorloYQwNgFPgiE5h6Sq2ESa+ZmViOeFW4LtvJIYkU4uXO7M2pZl70c+GxX9v2SKTySuunGm2L+zaLIcsdkKFx9C/8codxiz8BKofVvxb1YFjTjOGj4GfC8t5R8E/ktp8JWYaw0nAO8awSYpnUm+oWj2v9AwXxmCAvwCnAl2AfYB3YOl3sOHIMHxg4sDEVxE6E//HJui3Hh6sUXiqGgAsWJTKiVY2GfFaryQFYyYMgQ0Jcg8mP3kFJytvgcyEe3cFFib7fB4FmD8XNhxWei6+mQD8H8UyyVQ6PhWGJ/G1MZwGvGYM50hMCJz8jOGn9FyR9c50UcBPMekls26LZdynYr0WX8fmpvtQ4jdjOpwOAw6DgZUCv1G7lxWpLujHEOtvBVoO3VtC65HQebmNntZyZHRKzeAUGqAbQU+7nrdsLKnMRboyTNCx2HCoh7vub3L9v2YTzJgAqu+avjiXxGN3+TKY+ipoDegLbCCtAxM5goHeh/dvDsONPwaDowqgLal4MqZQdyXQ16AL3C+AYCYPtAvoR1AN13OXjSXZubDfu+rndDZf0EnYrFQtXfe3/P4328tT6C8FdXJNX1yL/6Z+4aegRuWsh/aexVTlMGiLRbZ7Y1gKtJL4IZj6Cq49Bx4G1WvAv9vkkgzZGEYDIySedU1LAUKzgXUEY6gDCxbCZWOg9o6pOooYw5nAv4D2Et+GSWsQMIZ2wPPAS8CtEr+6pSheMObMcTbPbUmcMV56tb3/cxhgIvCoxNAwaIuDTBwK5eIZM/HEVgUrxuaYh+MzwHUQDyaerCVHZvVHvkH0gD3elN4/P52HJUYYw/bAGGNop5gHMZOYYAwtgaeBycbQVWK2a7rig9Ur0gzOdxJWz/JiWJQ5v6Z41433QCeEe+3JHbtq0Hae3LWZa1rCHnMXcZ09W/PvQG0DqOsKbKaZxq7nKYW+XwlaBbo4kXx3Wyt2TKa+AlelFJzPExV/DTojTPrichJfCewUTFW5HztC4jdjvnwNnnzVmDWr3Isv/Mb86C7GcD0wVGJFsidq7wq6M9AUTv17Znb2aeFYYAv2GpwRJJ40hmpYO/KjJZZnTF2IkBDwuDF8hA1te7wx9JL42RVNMRDVXQot9oUZh0HH21KIw3Im8AeE6zsQJyYekJmhnxlV9sckL4Bd1GedAIMbxyMo1vZVE4/5nE+AFsDtxsz8CrruBw81KKT56rbGvDwAzq4BNC1S9gQ2A/Ng590dbMq9gcc8hpYxJB4yhhrAe55oZU0Q9YYJienG0Bp4AJhiDOdLTC7vuaAZbtiiuvLbpyVwH3C0NP5bkjw4eD4ldwPXBbWOfOH6quJdO24B/S2YurInrVL6fQxHfJFOXA175Z67DC5a5J9+TjWg28TENPdbBvo36CbQ2Z7LfO2w+1pGfxqC1oJqBlyvwcZz+aJo/7KhgLp41ja3UUZmoxDMaSu4zHWJzZg0B3ReGs/2AH0UhTgqLifxVUCzICoq9HBs+CUsmw9zZ2W7pURpBC8ySufEYwwXAwOh6TEw4jeYlTDkp8R6Yzb9mpjm+d9K9PSnLFHYgZt/CTHswOXAcIlfgqxUQsZwC7YTbxrDCdKfga5jDYnXjOFLrPVKB2O4QGJJ6W82H1Q4T4uwevfdm0LzccbUau8jOtseaELxW1jBz03gsAouxKOeSO8Z4D2JF1J8djvgTqCHFH545Lgw8RBc7ytUgq1/BFtnXBCGyKjoCwjlyZ4LGTjtJWZjczOUcdVMj+bSMaHXrID/tIDBJwGPpdDBcuF53l2OtSgIHB4jvxb4DzDKGE6R2BxGW0FDYokxdABuAr40hiug1pTiopNd9i5k4IOBu/A23j3gmo+Meefv0KkWxZl1PWAxMM8r84Fx3s8LYNyTiT2e14QdWvdaYDcgHeukS4HZEh8GS5IPXF/VvKvH4aBPg6lrWxCnJOpj39/g4oPTr9Mv5O0Vs0D1iotauk2yIhTt7WJesJEDV4IOC3gdng76OPz5U0VsUuPRYTmAhEz/4TB3MfQu4Qx1ylb7eacSi0CuWeiJlC73HGB2L0s8479urloHs6aDdg+pf2088dEeaTy7PegHUKvI5sP1gvA6vidoQTB15b6Joe1nSc+7TweDviTNnJP+43bNApj/M/RZX/xFumhRqgw4YM/VLqBFoHoBrsP3QOdHM3+qDHodNLw8RhbHAscM98+Re1uCw4CUbgx8n9C614GWgY4OeF7qgRaDTknz+etBIyOdC9eLwet4DdCGYOraNpMoeIqzx0ATQNun/rz/SRmOeTGOGyPo/0DvZsIECxnE+ZOh/yY4MOnbRQD0VwWNgSkvwRFZlajB/z3rOBHazI9ivYCO907MvTJJdlHk2fFw/Q/w2eNp0lMTtBzUPNK5cL0YvM4b0CZQ9czr2jZO4j7jWAE0zDvhpXxNL1zMZ46H/pthQFv793hujNjYOBNAd6b3vHvRG7Tbzwahyi7xX1nvWZTjCmoGs+eUFu0kG+cmEa0XpCvm6w8aGvlcuB+s9xYAABLySURBVF4MRQZgESjjSY7Di+l4HCuD3gQ9TxqZiIrU8yiov/05vhsjqIGVQb7cI3XzSPf9igMN6dFd9nsWpOisfFrSvykGNf6gOlgv172inou4WKdAoYXKwkwqKbRmqD8Z1iyHWTNyz8TQHxJbjOFs4F3gYWO4VkrLzOl54FljuCfO2YUklhvzfF/4+gV4r2JqDiFx8O6NAw2po7xM8tEmKN5x5/THMLDxvwEYJTE3xecyRhyZeMbwArV/AgyRGBFEndkEiY3GcAowHrgDa7OaKj7Fro9DpXWfl/XCusfjXQoZOCTvmh8H79440JAe4pNJPr0xNIba0GiPTMffGOoDVwAHJU9zgHB9LSu8el09D3p+G9TVC/Qs6GLXfXM7rqqPTRZ8bZrP3wn6p+t+lE+nn8z+wi/LEillEjM8ONrjKf5LRVGYiVLR1RhizQjnw1fPwQXzMhl/0MOgR5zNlcuFkv4EJJWF/J+gvq7757pgbXEXg3qk8exenvY/1rbM/nLNm9Zikx0MBh1dYMVSuH4u+Bz6boJWr0chu/Wnv4Cem9bBKW/Fg4EnmwEpHpsQdG4Ot28pP9mHKoIGeFYkXYqPf+prANQYG6ahgbP5crlY7CD4vYDtXkp0ikp20YAGgu5w3b84FNC+oGXwWs80YqNMBp3kug9l01iWeaT28awGplqG/uWzcMkS10zHZ6zfAHV2T4ffO3nq26BOoK6gXqCboef0OChmScLXBLQb6EPQ+6BdA2r33wQU9yndEgOZuJ9ioe3pwK/GsBYbW8UrFxwI95fpHu5F+TsJauxkzBfN4iW/jR4S3xnzxOUwe1Tqyj+GYMf1rShoTQflKdmAQcAgY9gHHhsOj+wacWjbZLEc2MUlATZmSNNmid/JfY8ADPBTYalUNSaK2Z2A1X7/NIazsGEaHgQekE16nhGMYS/gDGDvTOvKBDFg4n5KifeHw8BLsLEV6mEnaSfY2rKsRVMYyGlwgSVFN7dhWuOC57qmp/xjOHCPMdRUwEGhgkQySjaJWcb8uDYmTCcRlgMNwmwgUahYWLcUOAabqf0UaLxj4nfyo9FS8TE25utGsKFpDBSzO2EPesVgDNWBfwLtgJMlPg+wzTuARyTWBlhn6nB/dUtNplaeXWe22t2GP87pO+xgnYd6uO5DMOMQ3/UBuhr0aHj1J3rXrv7FhlXQZGxI6OaZy8SvWBW9TFwXgf5X4m8Hg2Z5Rg5Bhxbe39MXpRXmIlBaXBNQuBCSUyyU72QQT+9C1wVOGJW+Q4TOAb3nug/BrTX3ijifcT4LNCK8+v02sONeSTxOqbyTBd89fiRMWA1nvR+ltQroBtAD3s8VQP2wzjcpxwJPsr0RoL+6XjNSLGTiyV2Fi363UP55YGuoVBFeKyIqyV6727Bgs4z8sxH0Ww0P1kvDYWc08IQxNJTI6nFMQn7uEssIVZzip3+qVbfkN1N9Jymmj3ruY3i2fVSZeGyb518EFasYM6sJDN4J9qsMtJZYEHx7HAIcjnsdioXrXSTD3bAB6EdQteKngpInrV6r43DSin58Ck5IvedCv+VQu20GplRPx+XkkasF1BQ0P7z6j3slbFFS9JmYEr3vV66F3ZuGOE9vg3q7Xi9/0uOagAAGdAzonNITW8CsOr4K89aADnRNa7TjEnSqrGHnWbvr7Im0l20FG81zIyGk9AIZmD7GMrjwRElRizMdpO9rC1oA2s71eikosRCnZIhh2OwbLxX8oeRV0Bh6AM8ZQ2uJXyOn0AlSy9RTFjyLn4HwRB2ofqz7xMy5CYn1xvAHUBMvVVKAuAD2rw+TDoeOt4cnSopanBl+7JniFj177g8n/F3q8FtQ9WcM17tIADtjLdDPoLplfMeAXgPd45re6MYluBNRcJHe3LpnZ0PBJuYNNKY51qtwZRS30agVx2GfxIMMVRtWyfqTuMQ6YxgDnAk85fMd2ZyATDGG1yU+jZRIJwjyROR32jnyRGP4DzZH4mJscsXFwBKVuPGkk4h5G0WBcnN2JpUUPz022RfO+p/UZmogFJaBQsVxzXdAFWHqp+EqjsOOsJnoRvt4U5gbB+cwIBbOPoFgGHANPkwcQGK5MfTBilUOktgYGXVOML0/9DshTWuUEvDbEBZOAT7DJpRt733uDjT0PG0XF5YzjoZHAxHv5Dgy9tpMvGFeeboxJzwaxYbpRRGdDrwsMTz8tsK0Nop/qOBcYeJvAf8xhkYSS/y+JPGyMZwB3ANcFxl1DmAX99TxcOVusH5jZovb77Tz7qVS6fjv1qSRBlim7pXaDeL+MsQEAXht+p0eF/0N6AqJPTcDZvC7Aj8EWJ8vwg2JG3+T5Zxg4hK/GsNI7AJ9oJyvXw1MM4bXJCaETpxTHNgUnrtK4pNMakn1tCMbl+IHr0wGMObzA20IhPi+DDFBAEzc7/R49FnGMA4mfgpndYPBjUMUbUXGxING8Q2uaUO45jd4ZLu4JUT5E66F8sEpONQe9FWS3z3ZMxMK1BU3TgWbf3IjqIZrWiw98fWUjFMBXQL6b2Z1+Cn7jn4R1BmunBWuMlAVQL+Bqrgez9RpT7hOv4eWI12GKy6rVHC1eYSAD4D6xrBfeV+UeBN4n/JP7dmMvYEfJNa7JgQKrryvdYBbFkDPmdBxaHFP2zw8LCPjSIbT+9vT4gbv94LT49c3S7wBK34IWbS1M/CzstKcN6FpbiPYfoP0antpUve4rdmcEKeAvcIbw4tYm/EBSTxyPVas0kninXCpc4IDgdCtEVKBp/Aahd1cHnRNT0yRsTilfPFXeHJeK4po9xj8paoxHw6JUUiDJBF/RWZJ5AwT9zAMeMkYbpfKTg4sa5p4CcwbYsxlH0PdeiEpeFyhBTFj4h5WEVAu1RxFIOFoy1b2JVJUD/gDrnkzkzYTWMVkYRjo+CsyS8G1PCdYeZYM6DvQYcnLv3r/lItyWtBbeOmn4lRAl4KecU1HXIuny9iCl0ouvHZKRikcdh7MWwWdXkvXGSvOYX5TG5fs0t3k1ElcQsYwDOgGyTj0NB8E99fOUdvluJ7EV5I/iftC4nfPxn4n7Kk8pHZKhqao1QTOE7xyavoWK9kniiiJ4qKoozrDnM9gbM843yRyiol7GAZMNIbrJX4v+6vZv+gSwRh2xMbfWOSalgTIM/HyUaDcDI2Jl0bzQfCPnTI70GShKCIBCjY4Y/gfMEEJfCHihFyyTgFAYi6wEOtBWA4KFl1RZN+iS4AWwDSpbL2AI+Rl4uUj9DRtpVFwoFkE3IXNPPYAUGOP5OuYPQD6/1baKiZGNtWpYS6wl2siykMunsSBP0UqY8r+WiIFT/8t0Pj+8EkMFQcC01wT4YP8Sbx8OGDiy5bCt8DTWCZe8D58d4AxtZokJ05YfSDMngUdp8Uw4UY6mAd0cU1EeTBWmJ9bMIYG2BXZUGJT2d8t8M4qWHSDN8MhTYFOyjI718K+HNYe1iyGUV3j9gLZbOpsAHaSSl2D8gCM4W9YO+v7omuzVhM4bBqMqllaHNJxqDSpTJGKN6+fAfdJvBoiqZHBGFoDj0kc6pqWspCTJ3HZYFefA52Bl8v+bqnY4xW9Z/5jDBfGVCRRCgnMu3YBjY2feVet3aHPVljwnjEL52f5SS0sLAf2jKoxY6gF6w6F3puhes3i/01aR9QRqAaMCp5CZ5gL7GUMJs58IOdk4kVQIFJJCbJxP7pjZWF3B01UePBLAtF8kEuqiqJwo7m1OgxrA+91gy5j7d/zKIKQc22CMf/f3vnHVlWecfzzIDjNhS4DHeKPoTAgQ/fHwE3ANOtmkGDGL0lI66Zmc390brEjS6yGpjFK0Og2M0UNOvcrNGM2wMim4i8WcChsc4sb25RaBCaiDnTU1S0iffzjPbW9957T3nt7zz3nPTyf5E1Pett7377n7fe87/M+P5gmwkoRnsHlOLkO3ts/gjOiNmCNKn1V7mpiqPI2oMCEpPsyFBkW8UV/gvYrRFbsEJm3vhyhUJemdjHQ5AKCfMAHT5v0P2hSQkU2cZG6891cX76tcM6LcKoIXxbhhyK8jEtT8RngHmCSKgth04rwcP2hDyZFqMclvIo17WytcePXegKu3VquhtSSTJpTghXfr6F1DOTqK/F5VeXfIlwB7BDpPA53L4gxbWcViHLvevedhDoUgg8PmlRQtoiH5xC/fp7Ik2vh8jk4c0cX8FugCfhLoYlgBLm5VwF3DO/S6w8D49k+AXIToHd2aqNPk442iifqqnqRY/Cz5bDyg7RHcIVHmjUfdVF4uizp/rk+Ltnqe0RfbcZJPw7aU97vRM35lgOgXwc9K6a+Xgz6Lx8zFlY2ntFzNanyg5lciUev+L60XISzgX0496Hu/mtVIlas65bBU6cUmwD23C0yrzctq/OoVRQ8cBbQEewqvqs19AjJz8ssfbByNrQchh9NSm1u5nTQA4wRIVf6/Yqa8we7Vflplfs3mFXAXeqZJ9fwRI3nF5eJ8CjwKk479rnrRSfc7r/25QczKuJRpoUXngDWAlODtqL/Oqgy/pGoD1xPvqD4Zh4BLlwA605PU73IiKRH+0X4HHAv8GcRrlLlhbj7Er69v+EQdDbCP5oz4kccC6qoyEeHm92l/VbPO7WOlhThImAuFTgQpJ8oDfnrNuBBnPfQFKDBfZ01A24cnUgKj6S3LfFshcpLYhMkzjoD9BLQJtA20J+AbodVvcXbqjb10SwA2hhUPb8RdFS8n+V/MqSE79VzoJeW+LPjXZBN85Famv1AO0BvSnqs4vnbytWQK7e5n9uvcItCe/B1/s64+5rJlXgF5cQUt7w+QkHiLJF7zoeDz8ADUwZWlF0fQK5g7NJ/QKfKBhGeB9YDCwI/+JhKaNkh5ggp6XBThLHAYzBtC3TcDy/GVDC46HM/DVwOfCuO90+a8g95qxHxWhmZFHGoXvHU4GZeBq8MupknctC71MdEP6ocEKEBuBlnXmlWZXP1PykbyZASZFgRF+FjuOCavwGtqj1KzFv3/Kjg/x6GX42Hnp44PzMpytOQPW3QsgQ2j803qfx4HMyP16SS9LbFx+ZjzuHwv0PngHaDPgSai3+Mvn3MtzFK8N60g64e4vXRoJtAH4k79/jQ99S/eV/l+zQW9GrQp+F7x/PNh/1t2bY4+5DZlXicjMCfNlWosiuuQ8/iMTr6Fjw8B9bOhnSn9kwJh4FLwl4QYRTwEG6pt1hdlHENiArWykT+/ZIJxr8BuAaXIGsnsA52vwW9TbXefZqIV0i1zDVJo0oPcK0IjcDjInwfzuiE6beN1H0yJC/NHGCLCM+rYmaVoQk1pwSJpn4AzADma01d+6LOOeoXiXAvsCto+1TzA4ny3U2Td8mtBBFm4IT7auAo8AugVZU33esv/hGav1DgZhi7C62JuAEMPvR8qRO+egusqbr7ZLDyvx/+uUHkmwfdCt3Pf+gaEGUTb8Plym/QmmeBjDrn2LsLt7taCtwBnCbCbpyg74alb8CSzUn4UI8UEcYDjTjxngx0AF9RLU71nNgOPWmbkrV0Nbi0I9w1cMlW0ItAPwX6CdDRlb3/5Klww//MrjrcOOl5oIcKvvcd0K64oi+H71NpNnHQc0CvBL0TdAe0H/fJ3RR0DOhi0I2g/wH9JejCSud83M1W4kYBEyeFb5lnzAU2AHVBGyfC/4F3cRGGPRHXBd+7+HpYc9rJblctgTeBM0UYpUqfCF8DWoF61VqWbRug1JWmOrfVTUFD5O+/g1xD/rvlgMsaRZiJy+myd1DrUpdBsGYEZqpZuBV3E/ASzlzyDVWO1bIv5WIibhQQtWV+9jeqefZtweWPrsPV86wb1MYVXE8auJ4yy/zHS6HubGjpg73bXTTx7TNhSoMmXO+xsrOg1w+Fz6nfb8TVgJsGTAcWAi3AdBHeJxB08gX+Fa2iGUmEc3ARp9cAp+OEe65qqZGyyZPJyj5G5YSHyzd3w5aq2C9F5q13ecTLrx5zshCRsuA16KxPuw05jHLnVLBA+CRO2PsFvr9NxR0qFgp8F+5A9f3wzx98qHrKanh2Nk64Pw9sBH4O7FRNb/GHKEzEjSKKS9ZV73Am7odEFsjig65acypw7zuPcIE/F3iNPIF/5Bg8thrumzww39r74LrtMPNBYIsOU8Ix7Zg5xSgiTvfJrPjYx0v2UhZUL4KaPuBA0J4a/JoIpwIXMCDwn4U/LIX7Juafwdw6Cua/rvrchpH2Jw2YiBs1Jys+9vFhKQsqITClvBw0AERenQ65ifk/6fcDsZAMl2czDF/Z01ZJmTQjjP4H4mCy9UA0m7hhpJA4zyVOJk6GMxgTccMwMk3WH4gm4oZhGB5jNnHDMAyPMRE3DMPwGBNxwzAMjzERNwzD8BgTccMwDI8xETcMw/AYE3HDMAyPMRE3DMPwGBNxwzAMjzERNwzD8BgTccMwDI8xETcMw/AYE3HDMAyPMRE3DMPwGBNxwzAMjzERNwzD8BgTccMwDI8xETcMw/CYDwG4HCIK+j+y3wAAAABJRU5ErkJggg==\n", 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/A16f7ZbG/yzJAAAAAElFTkSuQmCC\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1059,14 +1055,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "rep_improve_nn, 80: 80 cities ⇒ tour length 13512 (in 0.887 sec)\n" + "rep_improve_nn, 80: 80 cities ⇒ tour length 13512 (in 0.890 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1120,14 +1116,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "nn: 1089 cities ⇒ tour length 52879 (in 0.166 sec)\n" + "nn: 1089 cities ⇒ tour length 52879 (in 0.164 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1156,14 +1152,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "rep_improve_nn, 3: 1089 cities ⇒ tour length 44877 (in 10.171 sec)\n" + "rep_improve_nn, 3: 1089 cities ⇒ tour length 44877 (in 10.007 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1301,14 +1297,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "greedy: 1089 cities ⇒ tour length 46982 (in 0.569 sec)\n" + "greedy: 1089 cities ⇒ tour length 46982 (in 0.612 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1344,14 +1340,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "improve_greedy: 80 cities ⇒ tour length 14220 (in 0.015 sec)\n" + "improve_greedy: 80 cities ⇒ tour length 14220 (in 0.016 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1371,14 +1367,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "improve_greedy: 1089 cities ⇒ tour length 43733 (in 2.996 sec)\n" + "improve_greedy: 1089 cities ⇒ tour length 43733 (in 2.967 sec)\n" ] }, { "data": { "image/png": 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\n", 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\n", 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\n", 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\n", 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\n", 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\n", 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\n", 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\n", 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1wI9iF9IJxUDtccDbLLfZsesR0V0zWqDoyu4CTiseElIZltsrgOuA/T3z+2PXI9Wlzqw1DgdWAz+OXUineeZ3Ah8jDNSOi12PVJc6s03Upyv7hGdeuTDrZbldAmxHuAea/lJJx6kz23RvB1YRHgZSZacAk4GPxC5Eqkmd2SYourK7gY8V9/+qNMttR8KzDmZ75jdELkcqRp3ZpjmCcL+vn8YupAw888cIVzivtNx2iF2PVIs6syEqurJ7gI945gqzPiy3MwmP1nu9Z/6P2PVINagzG7ojgZXAtbELKaFzgb8Bn4tdiFSHwmwILLfhwNlUZ9p/UIqB2ncBb7bcjoldj1SDwmxojgSeBn4Wu5Cy8sxXEK70XmC5TY9dj6RPYTZI6sqa55nfRRjV+LbltlXseiRtCrPBOwpYTjjCIxvhmX8D+DnwNd2hVtpJYTYI6sqG7FRgB8KxJ5G2UJgNztGEq3TXxy6km3jmawkzeadabgfErkfSpDmzJhVd2X3A+z1zhdkQWG5vAK4AZnjmT8SuR9Kizqx5s4G/EvZ/ZAg8858DFwDftNw2i12PpEVh1gTtlbXUecBfgC/ELkTSojBrzjHAn4FfxC6k2xUDtccDsyy3Y2PXI+nQntlGWG4jCHtlJ3vmCrMWsdz2ICzZD/DM74ldj3Q/dWYbdwzwJPDL2IWkxDO/mzCy8R0N1EorqDPbgKIrux84yTNXmLWB5XYh8CLg8GIJKjIk6sw27B3AUgVZW30YeCHw8diFSHdTmA2g6Mr+k/AsTGmT4n5nRwKnFHNoIkOiMBvYscATuv1z+xUDtMcCV1huk2PXI91JYdYPdWWdV1wp/m/CQO2o2PVI91GY9e+dwGOe+a9iF1Ix5wNLgf+KXYh0H4VZg6IrOwt1ZR1XnK44ATjQcjsudj3SXRRm6zsOeNQz/3XsQqrIM3+a8IT4L1pue8auR7qHwqwPy20k6sqi88zvBT5IuEPt+Nj1SHdQmNU7Dvi9Z35j7EKqzjO/Cvgx8I3isX4iG6S/JAV1ZaX0UWBb4LTYhUj5Kcxq3gU87JnfFLsQCfoM1L7fcjsodj1Sbgoz1JWVmWf+R8Kxsssttx1j1yPlpTALjgce9MwXxC5E1lecwvgC8C0N1MpAKh9mxe2bz0RdWdl9Hngc+FLsQqScKh9mhK5siWd+c+xCZGB9BmpfZ7kdH7seKZ9Kh5m6su7ima8E3g583nJ7Rex6pFwqHWbAu4EHPPNbYhcizfHM7wM+QBionRC7HimPyoaZurLu5ZlfDVxDuMJZ2b/DUq/KfxFOAO73zG+NXYgMyceA8cAZsQuRcqhkmBVd2RmoK+tanvmzwFHAyZbbIbHrkfgqGWbAicB9nvltsQuRofPMlxKenvV1y22n2PVIXJULs2LoUl1ZIopbNX2OMFA72szGTzebZ6a7bVRN5cKM0JXd45kvjF2ItMwXuZLdmM/TM0az7Bo4asZoltlUe9peZL+NXZx0RqXCrOjKTgfy2LVI63jmjuF7rWCza9cwfBfg2jUM3+vvjGMLJsWuTzoj+YcA22S7lHFMAWAskxjJNqzgHlayxB/390Yur3QsNwNG9vkxoolfx/26VYza68tM/dlq6Dt4thw4ZDTrFq1hW3df0co/JymfEbELaLtxTOEo9m/46P7MH/pLFt/wwynTN3Trvm4Y8BzwbPGj768b/7kVX7caWLkpr7fbhZw7fzVTGydoJwDz1jD8rTAXOLrxv6OkJf3ObJrd0E+YwXUs5yB+w9BD4Hna880d++vWFecgu4aZjZ8xmmXXrmG4OrPqSr8zG8gqngDOZYjf+J758xGqln64+wqbaj0H/51xP1saOrLlwMGTYPGW9PgDCrIqqG6YreUpz/z62GVIizzD0sVbwiGjGTtvDcOPHs26xVvSwzMsjV2adEZ1w0yS4k/47hCWnG+Fufet4SR1ZNWSfpitZEm/m/0rWdLxWqTtir0xbfZXUPIXAESkGio1NCsi6VKYiUgSFGYikgSFmYgkQWEmIklQmIlIEhRmIpIEhZmIJEFhJiJJUJiJSBIUZiKSBIWZiCRBYSYiSVCYiUgSFGYikgSFmYgkQWEmIklQmIlIEhRmIpIEhZmIJEFhJiJJUJiJSBL+Hx50GNc9EzyeAAAAAElFTkSuQmCC\n", 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\n", 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1755,14 +1751,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "improve_divide: 80 cities ⇒ tour length 14117 (in 0.138 sec)\n" + "improve_divide: 80 cities ⇒ tour length 14117 (in 0.109 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1779,12 +1775,14 @@ "source": [ "Divide and conquer performs adequately, but not exceptionally. \n", "\n", - "# Shoulders of Giants: Minimum Spanning Tree Algorithm: `mst_tsp`\n", + "# Shoulders of Giants: Minimum Spanning Tree Algorithm\n", "\n", "\n", - "\n", - "\n", - "
Joseph Kruskal (Wikipedia)
\n", + "| |\n", + "|----|\n", + "| ![Joseph Kruskal (Wikipedia)](http://people.inf.elte.hu/hytruongson/Kruskal/J.Kruskal.jpg) |\n", + "| [Joseph Kruskal (Wikipedia)](https://en.wikipedia.org/wiki/Joseph_Kruskal) |\n", + "\n", "\n", "\n", "I hope you now believe that you could have come up with some ideas for solving the TSP, using the set of **strategies**. But even if you can't come up with something all on your own, you can follow the **Stand on the Shoulders of Giants Strategy**, also known as the **[Just Google it Strategy](http://bit.ly/XNGt2y)**, in which case you'll no doubt find a giant of a mathematician, [Joseph Kruskal](http://en.wikipedia.org/wiki/Joseph_Kruskal), who, in 1956, published [a paper](http://www.cmat.edu.uy/~marclan/TAG/Sellanes/Kruskal.pdf) that led to an algorithm that\n", @@ -1869,7 +1867,7 @@ "data": { "image/png": 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BlpSuvyw3O45QDj+KQaM1s0uAW3D/dpyIUm3YO6Fg8MJ+6eP1Cyn7lCzGyuygCdVbLzrQBnwEeDHQgdm/2JI8/gn8p9pp5+JaiAOPQKvDdGfzWsjB9f5PEVgDvbg/EjuOYfg2cAlm58Sam7eUnXcqTo1OhfHToe2RYdaMS9UW9BRTshitUIb7FOC4nrDQN2grr4c53ZNLfuZZhKTxYuBA4JPAbMweJiSO0iTyeNlaCBQ+z/NaSFqVTgMVTYQpa2FTlIDcbylMl72NsEuwYYr9WkofM7CnAcxOBL4Ze+2ikCieO2/gw2mpGZcLqU0WqR4ams0A5hIu3vssgrsrXcAHNT9yf4qw1fAvJc/VRmjKshchiZxY+Lxvl+yXkE+tShf/4uOVvr/inanZtsCtmL0b91/WOcTh+DbwGRqcLKru6DPbGfg1sC9mH8I9WsfKTpi5Z6wXbxKpTRapHRqavQa4CDgP+AruffPDHOnouPewZTRRfA0DdnwaFpOyoX5R8WK7G0x5AtavK5xcz8qCa112bLkvw+xtwDWYLYxQWuI3wDcxexnuyfcOcX8EswOBHwA3Y/Z23B9IPA5JRGqTReqEft9fBj4EHI37X2r8xOiFIf2SNWZp3JYIDKjBcztwLO63x40oEvd/Eha/Ly9ctJ9I8LV7MTuHMLqI05XQfT1mHwQ+1gULWs02F+8rytPBxWamZDEcZjsCFxPmp/fB/fHIEaVJO9ATO4io3H+F2QuAX2P2atw3Jvjq5wOnYNaJe3eCr7tFuLn5YavZ2ZeUnVuBZNYMtgkbSaSBlCxqMTsU+BnwfeCsJHeeVFpYbIeWtWV3bpG1AUleHNPqq8ALgR8W5u+TGRW6r8TsQkK5lc8n8ppV9MUozx+mbE/dGtonAKeW/fXdZGdqNO2ULKoJRdK+AhwFHIH735IOoeLCYmgscztmXbjPG/xTidPIAsC9H7NjgBuBE4D/TfDVzwFuw+yrMReZExdqQH0HeMVN8OC2sF35t2gKrH6ULCox6wQuIRQi2xv3ZZEj2sJ9eaFd5dWY/Qv3+2KEUazd9RyY8RBcvMmsB1JYOj1J7msxeyswH7N7kurpMAfu2AOm9cPKTSXrXGmpTfYsaMespa5FJsPN3M+BTuDg69xX1u25pSIli3JmbwJ+QtiW+I1UVlF1vx2zU4DLMJuDe+US0g1UVrtrv+LjKSydniz3xZgdTvi3ORD3hm/17oSOuWHX3ICdc2k5j9MRyqT8DrNj6nLjFVoVXEo49Pp6tfBNRtMmi/KS0wZsDxO2htbTQgn0GyOGNxznAa8gzJEfE/tQlJRwvx6zLwJXYPZymuSut9rZlaVhzeDfwB2YHYn79aN+EbPpwJXAIuCDuMc5FNmEmjZZVCs5/R5YlYFEEXagmH0MuAU4Fvhx5IiklPt5mL0Q+D/M3tywjRFmNqEhTzxyNdcGzP4GzMPsu4TNIiMbtZttD/wR+Dvw6VSO+nNMJ4TL9FYpx5xK7uuAdwKnY7ZP7HBkkP8i7BY7q+7PbPY8zE4D7u2sXpssXdyvAvYl9D65GrNBC9JVme0K3ABcDpygRJE8JYusC3PixxHu2LaOHY6UCB343g28A7P3jfn5zHbH7AuY/ZPQvrYDOHphlS2rLdCK2RmFOf50cF8CvAq4jTAtdXDNnzF7PnA9cA7up2nKNY7mnIYym9Kep2Y27pdhdgBwIWZvSeKuK9W1u9LE/enCDqm/YnY/7vNH9PPhQOjhwBHAbsBlhAKUNxT/nbvNBp3HAVgSemc/G7j7nWbjWirXL0t+a2lIoqcUpqUuxuxHwBkVp+rMXgZcAfw37nMTjVMGsKZL0mE4+9uj4LlzK5z67IKV89ynJx7XWIWthNcBv8f9zMjRSDmzNwM/Al5Ws191KFD4LkKCeCGhBtQlwLXD6Rde4fleezJcfWaFmYTo7/fQkvdioP9g2GfbkhPgBmbQshTW3uA+6GS4JKu5RhZmBxF+6c56AI7rKtkNVZTZ057um15ttt3+cPpSs5PXlJzy1sGkFHC/8g1mP9kWFm8wW1N6i9YNj80P24/fTkgQLwd+D/wP8Mcxlw9xv+ZBs9VU2NARnftjmB0CfOkAePUZFb6lC9Kyht/UmidZhJ1DpwHvxf3P88Op11zZBrY9PewCnlz6uOr5p8MUaC/0/R5w0f5s+PdaTFiH+Anw9sLmhbpJ9WpwmH46danZl9A6amrlLllUOj8xEyZ2AKfDniqhLGmzKpRL6cR9VexYYlqbpZ2ITSh3yaLa+YkjYKUShaTRCtjU7IlC0i93yaKaKE2KRVKiGx47Cib1wabeklawmV2jk8Q1TbJoBqlsqSdRFadlO4EWGLcJNkA6Nz10w+r3wNQWsJ6SZZZB7YklCiWLHFkH/UdBz0YYUFhNd4/pMNK+3/VQYVq2A9K56WG++1aYnQ0sx73+p95lTHKXLFqa9QbbbP/fhbvGPXB/JnY4Mlja7uRTajahx72kTL6ShZlthJYjYcOmsu5tub67NmsnbLk8QYliS6+N8sebutdGdsxGVQBSKfPJonSr7Dhomwpt62FNGudkG+hkwi/YZbEDSYOyXhubNX2vjbQzayWUNNGuxRTKfLKoslV2WhrnZBvC7AXA8cBeKrAmWVS84WuDll2h/X54DLNULsI3s8wni6YW7sR+AnyxZr0haUqli+ozYEI/+JOwMU3TshVu+KZBOhfhm5mSRbZ9nLA2c17sQCSdBtyZmx0IfBf3veJFJFmlZBFReWmSomENv812Ab4M7K9GMDJMNwEzMdsd94diByPZomQRUbXSJJWG33PMlneW9CNogRYHfwRumQ9bNTTQjCn22pgKW20DnQ/Dv4qPRw4tLvc+zH5LqG77P7HDkWzJfLIonZM1YBZMXQJr0zQnO1IdMA6zfYFHgSdx7+2EjnmD22dapaY3zW7z9lizLuAI3N8ZN6JUuRw4hRQli3EwPnYMUlvmk8Wg6RqzY4F34f66OBENX7XTg1tDO3AusAOwDWZPTcxKn+V06QBUoG+gawnd6Wbg/njsYDCb2gttR8CavrISblm+4cujzCeLCn4OfAGzA3C/MXYwVZlNm1DSFazUYliL+96F7xsPbLcx9DtQwhiZqaiu0EDuGzH7A/BW4MexwwG+Og8uwP3DsQORoeWv0Yh7D3AGodFROpltD1xXfidVkfsm3JdqBXtUNLKo7HLgHbGDwGwf4N3A52OHIrXlcWQBcAFwMmYH4n597GAGMNsd+CMw90GYkKvWrunTATwdO4gU+gNwPmbTcV8RJYJwRujHwOdx179RBuQzWbhvwux04FTgNZGj2cLsRcBVwJm4/2D+CEY/3bC6Czq2g5Z+8KcKXcVUvnlIU4GHYweROu5rMLsOeBMwtx5POYpt4McDa4AL6/H60nj5TBbBRcApmL0S978n/eLlxeymwLQdYc9F8PeL3H8w0ueb7x62x5qdB/wD9zTMN6ddB0qm1fyasIW2LsliJNvAMduBcEbolSpRkx35TRZhdPFVwt37q5J++SGK2Y31//m2wJNjfI5mMRWtWVRzJfAdzCbhvm5Mz2Q2bqjWAOVnhKywVvoI3KQzQtmR32QRzCWMLg7G/brYwdTJdihZDJdGFhUUL967QMszsHq12eYpzc0j2FJmHcAuwM4lf5Z+PmNClWvJdBhv0H5phZ18OiOULflOFu69m0cXIWHkYcibWLLIQV8IjSwqKDvguXlEcDhMxexEBieENsLW7UcKH4uBq0seW7oOllFhGqoDxvdoy3cu5DtZBBcDXyRMRV0bOZZ62I7wi9lwOegLoZHFyBgwg1AW5c9sSQzP1LzRssqzUN2wjnCeSAkj4/KfLMLo4iuE0cVfMz26MJsATABWJvBarePDSfJMKd2VMwmmboDb+s1cvRFqc+jH/bOj+dmh+ot3wqwxhiYpkP9kAewHp8yC2T2wus+st/h4Iy8gxWJ2lR4fw9OGxe16JDyzFsJFdTdg15KP4tc77TbmF0lehV05U6FxvRHGVDk4R4b6b+0q+Z2T7GqKZLETzLww7MCYXPp4I5ur1HNOv7ggOQHYEVofLPzyVV2QhGIy2J7qyaATWA4sIpxFWATcClxa+Lr7/jAvPWgaKot2gImYnU2YllpN2OM/1OfrhpOUR7RltKDZEkw3rH4fdOwIrQ+UVC3QGaFsaYpkkXUVKs62AhwOHZi9nIEJofj5zoTF3UVsSQZ3EPbXPww8gvv6IV+4yjx0Fm0IF6mnCesYzyLMo3cUPko/L37djtlaaiSXtjAtOMhQdXRGk2DqqXjAs61wwLO3wQc857tvVZgKbsddpT0ySskiwwqVaL/HloTwL+CKwueLx7p/vkFTaVE8Az24f33YP2A2jpA0qiWV4ucVPQemYbaCUGZ+aeHPR4GlUyOX5C454HkjcFJCJXEOAz6TwOtIgyhZZNg66MP9pY16/oxsj20M915gReGjqh6zU6iwEWBB2ISwO6HM/A7AjoU/nzctPf0b9gAeaPirmBXXxm5q+GtJwzR1suiESXU5wSqpMdSunMSDcX8GeAb4z4BYzN5LhWmoRJlNJazhJdHT4o3AnwoJWDKqKZJFpQtIC+HAAnA9Zm/FfUnScUn9Jb1AnKrkNDJhVJHMVvLDgN8k8DrSQE2RLKpeQMwMOBG4BbN34H5LooENU3FBsgVa+7WbJFVGk5wqJZgJMHkDhPdkMhfwpKag2oBXAx9t+GtJQzVFsqgq/FKejdm9wJWYfRr3i2OHVa6wm2RrwkL2tEwfLJTKCcZsMuHU9NeBzyUQRjLJAg4E7sU9kaoD0jj565Q3Gu5XEPpenIHZGYUzCmmzB7BQiSKn3NcS+ku8CbNRnaIeoaSSxWHA7xN4HWmw5h5ZlHL/N2YvA379VljRbtZfflWOfGhqFrAw0mtLEtyfxuz1wI2YLcO9kY2B9iCZxkOHAe9J4HWkwZQsSrkvw+w1HbB6bqi0OUBSh6aqmEUyd4ISk3s3ZocCf8XsKdyvatArNX5kYbYH4SzKnQ19HUmEkkU5956NZuupkCwi2wO4JnYQkgD3ezB7G3AFZm/B/eZ6PG2xzEgL4dDgAvgPZo0cMR8GXKWp03xQssiOWcCI27FKRrnfjNkxwG8wexXu94z1KSuUGZkGDR0xHwb8sHFPL0lSskix0oJzz4WpD8AfelVuu3m4X1VoRnQ1Zgfg3h07pGEzmwLMAd4ZOxSpDyWLFEu63LakkPuFmG13Cjz8oNmWQzYFNSoPTwZeCOwFvGRiqGeVlEOAW3DXWaCcULKooPzQ1ARo2QWmrISnogUlzcv9myvNzr6kpAVq0eY+1mbbUUgKhT/3IrREXQDcBdzVA+tJLmFoy2zOKFlUUOXQ1PHABzFrw70n+aikmT0B/VRoTdoCLZg9CkwkJIU7gT8AZwELcN9U/N6+0I++8UJlhDcCZyfyepIIJYvh+yHwBuA04AuRYxEBwEMviv0I/UmG3HXU6DpWxTW2idC6E0xaCLc1eLeVJEjJYrjcHbMPfRUeWmT2htVlpau74f6mLuktjWN2yMQKowooJAv3xcN5mkZfsCPstpIEKVmMhPuTi80eOh9eXP5XlZoEjVX5nWArjGuDiUuSKSstsZm9FDgT2KUnTEOlsQyNNAklixFaFfoTJKLK2snvgWuTikEiMHsOcDqwP2Ha82eL4MmuCp35VHlYkqJkkT3/RagdNBf3J2IHIyNXen6m1GOw7Aa4Dngb8E3gmGJjrvlQeXusSEKULLLG/T7MLiDceX4kdjgychXm9gE4JpyjuQyYjfvy5CMbmxZNk+WakkUGvQq2eQUc2W32knWwpvi4FtmzbQOsxj2zO+3Wgx8JGzbBxtLHM9A1UIZByWKEuuH+SovZ3XB/UjFsC7t+FcYD+5Q+3ohFdklOf9gGm01ms6+AHmAnndrOJyWLEdKdu0hFJwHfVaLILyULERkbs12BtxLK6EtOKVmIJKx4fmZnmLwcNq6G3uLjkUMbrc8B52ZxUV6GT8lCJGGbz8+YXQ5ciPvlcSMaA7MdgCOA58YORRpOGxoXAAAFoklEQVRLySKD0rDILnXRS/Z/B/8buAD3J2MHIo2V9TdqU9Iie25kO1mYbQu8n9AzQ3JOh2hE4sl2soDPAL/EfWnsQKTxsvxGFcm67CYLs62Aj1J21kfySyMLkXiymyzgE8AVuC+KHYgkI6tvVJE8yGayMOsAPgm8InYokpzsvVFF8iMzyWKO2fLOQol0C73AzeGebrPV891VEbcJZOKNKpJTfST4O7if2bmdMLv88eEUoOyEjnmDu/W1VuqxIfmkZCEST6Iji06YfSkcVP64ClDKcChZiMTTS5Xe2kmaCltjdiQwndBkqfjn5s+r9QCX5qFkIZKwYqe87WCCgy8zOwlCbaiKrXQbbGvYCXgzsAJYDiwjVAMofr1iA8xHCaOpKVlI06vW5rRRF+8KnfImAHTV+4WGaRH8C/f3DPU9bpZQNJJWShbS9Kq1Oe0CMDPC78n4wp/VPob6+wF/Ny58nSndsPqTMK0X/KmSJk3doP4VTULJQppTSAKdwL5thTv7cs8PCaSfsLZQ/NhU9vVw/27z37dGShZjKUA5330rzOYDJ+F+Xd2Dk9RTspBMK93/X6obBu7/D6W09y376Adu8yrtTBfASmAr3Ova7nSj2QoqjGQabUwFKM0mEgoG3lq3gCRTlCwkNUZzDqDK/n8+AFMx+39sSQzjgH8UPn4MfAR4FHffFC7eg0YXDtQ7UWTYPsA9uK+LHYjEoWQhqTHscwBmk4AZwIzCaeJBtgmPtwM/Az4OdKflwl/slFfp8cSDGb4DgBtjByHxKFlI6u0Mz8fsb4QdSzMIc/6PFz4qJovF0I/7ycN5/qQv3jG2x9bB/sAvYgch8ShZSOqtDvv+v8yWBLGqOEpwszEfbMvoxTs5YTPA/oQRmjQpJQtJveWwDPe/xY6jic0C1uG+JHYgEo+ShWRaN6wuFrMbB9YKthH6tf+/rvZH6xVNT8lCUmM05wDKtsdODt/OC9Xqs64OAG6KHYTEZSnZICJSH2bnAg/jflbsUHLD7G7gaNzviB2KxKNkIfli9nJgLjA7LVtlM81sa2ARsDXuvZGjkYjUg1vy5lagB7X8rJc5wG1KFKJkIfkSRhM/BT4YO5Sc0OK2AJqGkjwy2x64D+jEXbuiRqi0ZPsEmLwJNvZBb6x+G5IO2g0l+eP+BGZ/JVQKOT92OFlToWT7OIjXb0PSQclCcmc/s3NfAHtsA996yOzo4uNDFSQUkaEpWUjudMLs8+AFhS83FyasdIZDRIZHC9wiIlKTkoWIiNSkaSgRGaC8ZHsLsDt0jAc1PmpiShYiMkDF7bFmewLXYfZc3O9NPiqJTclCcmc0BQmlBve7MfsicAlmc3DfEDskSZYO5YnI8IQmSPOApbifEDscSZaShYgMn9lWwF3AJ3C/MnY4khwlCxEZGbNXAJcB+6hvSPPQ1lkRGRn3G4DvAxdhNqb+55IdShYiMhpnEq4fJ8UORJKhaSgRGR2znYDbgbfjrrarOaeRhYiMjvsS4FjgF5hNjx2ONJZGFiIyNmbfA7YD3q1WtvmlQ3kiMiYHwsQD4Y3L4d6nzR4rPq6S8PmiZCEiYzITnn0mTAZmFz4AlYTPG61ZiIhITUoWIiJSk5KFiIjUpGQhIiI1aYFbRMZEJeGbg85ZiIhITZqGEhGRmpQsRESkJiULERGpSclCRERqUrIQEZGalCxERKQmJQsREalJyUJERGpSshARkZqULEREpCYlCxERqUnJQkREalKyEBGRmpQsRESkJiULERGpSclCRERqUrIQEZGalCxERKQmJQsREalJyUJERGpSshARkZqULEREpCYlCxERqUnJQkREalKyEBGRmpQsRESkJiULERGpSclCRERqUrIQEZGalCxERKQmJQsREalJyUJERGpSshARkZqULEREpCYlCxERqUnJQkREavr/ZfpHOkv6nRkAAAAASUVORK5CYII=\n", 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1971,14 +1969,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "mst: 1089 cities ⇒ tour length 58059 (in 0.843 sec)\n" + "mst: 1089 cities ⇒ tour length 58059 (in 0.874 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1998,14 +1996,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "improve_mst: 1089 cities ⇒ tour length 44779 (in 5.871 sec)\n" + "improve_mst: 1089 cities ⇒ tour length 44779 (in 5.559 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2043,12 +2041,16 @@ "# Shoulders of Giants: Held-Karp Algorithm: `held_karp_tsp`\n", "\n", "\n", - "\n", - "
Held, Shareshian, Karp (Computer History Museum)
\n", + "| |\n", + "|----|\n", + "| ![](http://archive.computerhistory.org/resources/still-image/IBM/IBM_People/IBM.3_mathematicians_Held_Shareshian_Karp.ca1964.102650390.lg.jpg) |\n", + "| [Held, Shareshian, Karp (Computer History Museum)](http://www.computerhistory.org/collections/catalog/102650390) |\n", + "\n", + "| |\n", + "|----|\n", + "| ![](http://imgs.xkcd.com/comics/travelling_salesman_problem.png) |\n", + "| [xkcd 399](http://xkcd.com/399/) |\n", "\n", - "\n", - "\n", - "
xkcd 399
\n", "\n", "Another algorithm that shows up with a literature search is the [Held-Karp Dynamic Programming Algorithm](http://en.wikipedia.org/wiki/Held%E2%80%93Karp_algorithm), named after giants [Michael Held](http://www.computerhistory.org/collections/catalog/102650390) and [Richard Karp](http://en.wikipedia.org/wiki/Richard_M._Karp). It is an algorithm for finding optimal tours, not approximate ones, so it is not appropriate for large *n*. But even in its simplest form, without any programming tricks, it can go quite a bit further than `alltours_tsp`. That is because `alltours_tsp` is O(*n*!), while the Held-Karp algorithm is only O(*n*2 2*n*). How did Held and Karp achieve this speedup? They noticed that `alltours_tsp` wastes a lot of time with permutations that can't possibly be optimal tours. Here's the key idea:\n", "\n", @@ -2130,14 +2132,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "alltours: 10 cities ⇒ tour length 2720 (in 1.690 sec)\n" + "alltours: 10 cities ⇒ tour length 2720 (in 1.624 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2157,14 +2159,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "held_karp: 10 cities ⇒ tour length 2720 (in 0.033 sec)\n" + "held_karp: 10 cities ⇒ tour length 2720 (in 0.034 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2191,14 +2193,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "held_karp: 18 cities ⇒ tour length 2771 (in 43.741 sec)\n" + "held_karp: 18 cities ⇒ tour length 2771 (in 45.137 sec)\n" ] }, { "data": { "image/png": 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9q7OvnDU525VYBiyF09L31o/fgUv6m9EnZWVtoTmBTjCjHjibaA18mbocVrZlj6Q8f2X4Uh9g386c22DGkcD+7owoWbFSVVqau4CFI4AfAIe5c3faClunEOiAbALpHGB3YvXPE4lLkg7Ixnd/C3wN2NOdDj2+Z0cgXurOtaWsT6pfdsDRBOAs4LxKvFFUCLSTGf2I1T/PAWPcWZi4JOmELAh+BtQDg915uZ1fvy7xvdBbp4JJS8zYCLgBeAwYW2krBjUn0A5mjAAeAC4FDlEAVD933J1fAH8A7jFj03a+xIHE3gAFgLTInReBgcBqxPfYBolLakYh0AZmrGrG2cTQwb7unF+Jj3XSce6cDfwCuDvb69FWWhUkK5TdJBwGXAc8aMagxCUtoeGgFchm968F/gN8U+vAa5sZI4HzgeHuPLCCP9uLWCbYs9Ie8aVymTGUaCV/BvCH1DeUehJYDjP2IZZ//hUYpgCofe5cB4wGbswm9ZbnIOBGBYC0hzu3E8NDY4FL4gyKdBQCLTBjFTPOIk6nOsid/9HRj8WRtfo+ELjKjGHL+aOHAleXpyqpJVk/sZ2AOuB/zeidqhaFwFLM6En0/dmeOPrx3sQlSQLu/J3oCnqR2bJtC8zYENiU+F4RabesEd3BxCbDmWbsnKIOhUATZuwBPAJMB/ZSS+Bic+dhYA/gV2Ycu9RvHwxMduej8lcmtSJbnfZL4izsyWYcU+4aNDHMklazPwW+Axzuzp2JS5IKYsbGwB3AxVB3dewMHXQAPPcg3PGtamgXLJXPjE2Ip4J7gBPKdRBO4UMg2+wzAfgscKg7pWooJjUkxmyfuwv+3zrwP2tWY994qXxZS/I/A58nTiKcn/d7Fno4KBuDezT72EMBIK1x51U45onGAIDGM2/7j09Zm9QOd94h24AIPGTGjnm/ZyFbSWetAk4hmjsd5c4tiUuSqrDm2tXcN16qQ7YS8UwzHieWKp8KddPyOr6ycCGQtf29HOgBDHDnpbQVSfXI/UwCkSXcucmMXeD5W+Dw38Kv65oMQ+5oVleSYchCDQeZsR2x+udFYBcFgLRPS33jx86JXxcpPXeehTGPNAYAlHoYshBPAtnwz3eA04Fj3ZmUtiKpRu4L55rVDYY5ZTnzViSuXRtslOcwZM2HQDbbfjHwRWCgO88nLkmqWDnPvJXiMmM94BvAkdCnX57DkDU9HGTG1sDDwNvATgoAEalUZnzGjGFm3AD8kziz/CS4aKs8hyFrdp9AduTfr4GT3ZmQuh4RkZZkN6tHEnf+/wQuAyY1Pa+kpeMrSzUMWXMhYMbqwO+BHYjmb7MTlyQi0owZ6xAX/dHAOsAVwBUpRitqak7AjC8ShzY8Tiz/fDdxSSIiQAz3AHsRF/6vAbcAPwTucueTZHXVypOAGYcC5wGnApekPqhBRATAjP7EhX8U8AIx3HOtO2+nrKtB1T0JNI6NNeyc+/AMePgkYAgwxJ3HE5coIgVnxlrEcZKjgZ5EP6BdY91/ZamqJ4EIgGHTYqNEw865n34AY6ZD/8MqJVlFpHjMWAXYk7jw70n0/7kcmJZyuGdFquxJoP/4xgCA+PxfXWDIG+73KwBEpOzM2Jy48B8OvExc+I9x582EZbVZlYVAz14t75zrvUGKakSkmMzoThwvOhroA1wJDK7G1YhVtlmsoYFXU4uAzXcy4zozhqc+tFlEapMZK5sx1Iy/AHOJU+fOAPq486NqDACouhBorYHX89sTJz+dDLxqxkVmDMpODBMR6TAzNjXjLOAlYDxwL9DPnYPdudWdj9NW2DlVNTEMK945lx0AfhhQD9QBfwEmuDMrScEiUnXMWIM4R3o00I84ffAKd55KWVceqi4E2iPbjl1P7Mx7A5gI/MWdV5IWJiIVJxs52IO48O8H3Ems6b/dnY8Slparmg6BBtn/3EFEIIwAniQCYZI7b6WsTUTSMuMLwDezj9eJ1T1XufN6yrrKpRAh0JQZqwH7EIEwGJhGBMKt7ryfsjYRKY+sxfxIonHbZsQ14HJ3nkhaWAKFC4GmsmVeBxLbubcBJhPfDP+bnfMpIjUiGxHYlRjuGQbcTdz13+rOh8kKS6zQIdCUGevTOKG8NjGhPBF4Un2IRKqXGRvRONzzDjHOP9GdfyctrEIoBFqQNXxqmFB+h1gZcJU7LyctTETaxIzPEU/5RwJbAlcRd/2P66auOYXAcmSPjzsTgTASeJoIhEnuvJGyNhFpLjtLfBdiuOfrxHr+y4Bb3PkgYWkVTSHQRtlO5L2IQBgK3EUMF93sznspaxMpsmxv0BHExf89God7FqSsq1ooBDrAjDpiqeko4CvA9UQg3F3J3QJFakV2guAIYrhnG+BqYrjnEQ33tI9CoJPM6EU0khoFfJ74ZpyAxh5FSiob7hlI3PEfCMwg7vpv0vLujlMIlFDWUrY++3iPeDq4yp0XkxYmUsXM2IDG4Z6PiQv/BHfmpayrVigEctDkjqVhQvlZIhCuK8ouRJHOMOOzxOTuaGLI9VpiuGemnrBLSyGQMzNWJU4Zqid2Kv+dCIQb3VmcsjaRSpLdPO1AjPOPBGYSF/4pWnyRH4VAGWVb1b9OBMIA4EYiEKZXeztakY4yozdxKtdowIgL/5Xu/CthWYWhEEjEjB7EhHI9sD4xoTwRrW6QAsh6eA0jLvw7AJOIi/8D+v4vL4VABTBjM2J38ijgI2J340R35iQtTKSEsuGe7YjhnkOAR4kL//UaGk1HIVBBmoyJ1hP/SOYQTwfXuPOflLWJdFT21Nsw3NOFuPD/WW1YKoNCoEKZ8RlgCBEI+wL3EYEwxX2Zg5ZFKkq2w35/4sK/M9Gh93LgXg33VBaFQBXImmENIwJhIHATEQjTNKEsqTQe9dqzF8yfF2eAL1ybuPAfCjxFrOmfrBuXyqUQqDJmrEcMFdUDGwHXEIGg9dNSNhEAw6bBhf2gK7AI+OmHcPxr0O9S4jzeuUmLlDZRCFQxMzYhJpTriaV1E4kJ5eeSFiY1z2zgBLijPgKgwSJgz4nu941KVZe030qpC5COc+c5d34BS1YXdQfuMWOmGSeY8fm0FUqtMWNVM74Bu+zfPAAgfv75Xinqko5TCNQAd9ydh9w5idhzcBqxFO9ZM6aaMSqbVxDpEDPWNWMc8CIwBuY+xjLD/IuABernU2UUAjXGnY/dud2dI4DewBXEJN2/zLjKjH2zlUciK2TGNmb8CfgnsCGwtzt7wG2jYeycxiBYRPx81rhUtUrHaE6gIMxYl+jHMgr4AtGQayIwQxPK0pQZKwMHACcS3yu/By5euvlh4+qgHr3iCWDWOPeFc8tesHSKQqCAzNiYxgnlVWncofyPpIVJUmZ0B44GvgssAM4B/urOR0kLk1wpBAos26H8ZeLp4FBgHvF0cLU781PWJuWTtS05ATgMuA04x52ZaauSclEICLBkCGB34ulgOPAwcULa9e4sTFmblJ4ZKxEtzk8EtgX+CFygg1qKRyEgy8gO9NifCITdgKnEE8JUdz5saaeoxoKrQ7ZK7Ajizv99YsjnLzqesbgUArJcZqxNTCjXA1+Ex6bC+bvDub0bd4qOnQNTBisIKpcZfYmx/tHEwUbnAH/XogBRCEibxYVkzPVwzpeW3Sk6ZKL7/dopWkGyOZ9BxJDPIKKB2/lq5yBNrZK6AKke7sw1e/PNlneK9tBO0QqRHdhyGHHxXw04FzjCnXeTFiYVSSEg7TR/Xtz5L/0koJ2iqZnRC/gO8G3iwJYfA39z59OkhUlF045haadZ4+AHb2qnaOUwY4AZE4FZwFrAru7s7c5UBYCsiJ4EpJ0WvgYvOBx0I3y2m3aKppG1/jiQGPLpAZwPHOfOW0kLk6qjiWFpFzOOAg5yZ5/UtRSRGesQwz3HAs8Tq3xudOeTpIVJ1dJwkLRZttrkROLCI2VkxlZmXAI8R/Tz2c+d3dy5XgEgnaHhIGmPQcRB4XekLqQIsl3c+xHBuxlwAbCpO/9JWpjUFIWAtMcJwLmabMyXGWsARwLHA68TT16T3PkwaWFSkzQnIG2S7Th9BNhQ683zkR0XejzR0O92opHbjLRVSa3Tk4C01bHE4eEKgBLK5lmGEEM+2wMXA1u582rSwqQw9CQgK2RGV+AlYIA7L6SupxaYsTpwODHE9gkx5HOVO+8lLUwKR08C0hajgPsUAJ1nRh/gOOAo4D6iqdvdauQmqWiJqCxXNlxxAtF/RjrADDPjq2ZcBzwGfAbYwZ3h7tylAJCU9CQgK7IH4MD01IVUGzO6AIcQ4/3diCA9yp13khYm0oRCQFbkRGJZqO5W28iMHsBY4BjgSeA0UB8fqUyaGJZWmdEPeBDo487i1PVUOjO+QoTm/sDVwHnuzE5blcjy6UlAluc44FIFQOvMWAX4OnHx34Bo5HaSO28kLUykjfQkIC0yoxswF9jWnZcSl1NxzFgL+BYRlHOJJZ5T3Pk4ZV0i7aUnAWnNEcBdCoDmzNiSWC11MHAjMNydR9NWJdJxCgFZhhkrEe0Lvp26lkqQ/X3sQwz59CcauX3RndeSFiZSAgoBacmewPvAPakLScmMOmA0EYhvEUM+16qRm9QShYC05ASieVkhJ4yyVVHHE0Ni04gguL+ofx9S2xQC0owZmwLbASNS11JO2c7oPYghn52AS4Ft3HklaWEiOVMIyNKOBy525/3UhZRD1sitnnj6MWLI51Ati5Wi0BJRWSI7zORFCtDK2Iz1ieWdY4AZxMX/Tg35SNGogZw0NRr4W60GQNbIbaAZ1xDtHFYHdnJnf3emKQCkiPQkIMCS82yfBY5w5/7U9ZSSGasS6/pPBNYEzgMuc2dh0sJEKoDmBKTB3sCbwAOpCykVM9YjGrmNBWYDZwC3uvNJ0sJEKoiGg6RBwyHyVf9oaMaXzbiceLJZH9jTncHu3KQAEGlOw0GCGVsAdwJ93fkgdT0dkTVyG0YM+WwE/J5Y5fR/SQsTqXAaDhKIZaEXVWMAmLEmscLnOOBVYpXP9e58lLQwkSqhECi47CJ6KLB56lpaYlbXF/qPh569YP48mDXOfeFcMzYnhrAOBW4GDnLn4aTFilQhhYAcDdzszoLUhSwtAmDYNLiwH3QFFgEn7mH2zHOw+WbARcAW7sxPWqhIFdOcQIFly0LnACPdeSh1PUszGzgB7qiPAGiwCDjmAZiwezUOX4lUGq0OKrb9gfmVGAChZ6/mAQDx88XvKwBESkMhUGwnEhOpFWr+vLjzb2oRsGBeimpEapFCoGDM6vqaDZxgdviDMG4AbFrBk6mzxsHYOY1BsIj4+axxKasSqSWaGC6QlidaX5pqVjfYfeHctNUtK1YBrTMEfv0czL4XXv1Xw+qg1LWJ1ApNDBdI6xOtQya63z8qVV3LY0Zv4BF3eqSuRaQWaTioUFqbaF2/T4pq2mgjor21iORAIVAorU20bra9Gd/KDlSvNAoBkRxV4j96yU1rE63rjSDOEnjAjO2SldcyhYBIjjQnUDCNbRh69IqllkvaMKwEHA78CrgB+Kk7byQtFjDjMuA+dy5JXYtILVIISDNZL6EzgYOAU4HL3fk0YT13A2e6c2eqGkRqmUJAWmTGtsAfgE+B49x5LFEdLwG7u/NCivcXqXWaE5AWufMoMBC4FLjNjPPM6F7OGsz4DNADeKWc7ytSJAoBaZU7n7pzKbAFsbHwGTO+aYaVqYQ+RG8jnQ0gkhOFgKyQO2+48x3gAOC7wN/N2LoMb62VQSI5UwhIm2XdRncErgSmmXG2GWvk+JYKAZGcKQSkXdz5xJ0/EkNEXYkhovqchogUAiI5UwhIh7jzujvfAkYA3wPuNqN/id9GISCSM4WAdIo7M4ABwDXAdDN+Y0Y3aNq2+sDp8bmubztfXiEgkjOFgHRaNkT0B6A/sDbwjNltx0fb6jvq4a+7x+dh09oSBA3hAeO2hSHf60B4iEgbabOYlJwZO8OPb4LT1mxv2+qWzzwYOwemVOSZByLVTofKSMm5c5/Z809A192a/05XYLcRZjwBvEtc4d9t/uNDhsLZ/RrDoyt7vER3AAAA1ElEQVQRCHPGAxV55oFINVMISE7mvRrX9aWfBB79G3B69hufyz66Nn7u0q3lMw969Mq9ZJECUghITmaNg7E7Ljusc/9J7sxt7avMHt0GFvVdNjx0uLxIHjQnILlprW31ir9GcwIi5aIQkIrTkfAQkY5RCIiIFJj2CYiIFJhCQESkwBQCIiIFphAQESkwhYCISIEpBERECkwhICJSYAoBEZECUwiIiBSYQkBEpMAUAiIiBaYQEBEpMIWAiEiBKQRERApMISAiUmAKARGRAlMIiIgU2P8HhMVYAagxCTUAAAAASUVORK5CYII=\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2257,14 +2259,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "ensemble: 80 cities ⇒ tour length 13534 (in 0.191 sec)\n" + "ensemble: 80 cities ⇒ tour length 13534 (in 0.197 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2288,7 +2290,7 @@ "- **Divide and Conquer Strategy**: `divide_tsp`\n", "- **Ensemble Strategy**: `rep_nn_tsp`, `ensemble_tsp`\n", "- **Giant Shoulders Strategy**: `mst_tsp`, `held_karp_tsp`\n", - "- **Improvement Strategy**: `improve_nn_tsp`, `improve_greedy_tsp`, `improve_divide_tsp`, `improve_rep_nn_tsp`, `rep_improve_nn_tsp`, `improve_mst_tsp`\n", + "- **Improvement Strategy**: `improve_nn_tsp`, `improve_greedy_tsp`, `improve_divide_tsp`, `rep_improve_nn_tsp`, `improve_mst_tsp`\n", "\n", "\n", "# Comparison of Algorithms: Benchmark Experiments\n", @@ -2405,9 +2407,9 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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\n", + "image/png": 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\n", 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\n", + "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2525,20 +2527,18 @@ "name": "stdout", "output_type": "stream", "text": [ - " #1 #2 #3 #4 #5 #6 | Algorithm\n", - " --- --- --- --- --- --- | ---------\n", - " 15 6 5 8 6 0 | improve_greedy\n", - " 16 14 7 3 0 0 | rep_improve_nn\n", - " 5 5 10 11 9 0 | improve_rep_nn\n", - " 1 1 0 1 4 33 | improve_divide\n", - " 1 12 9 7 8 3 | improve_nn\n", - " 2 2 9 10 13 4 | improve_mst\n" + " #1 #2 #3 #4 #5 | Algorithm\n", + " --- --- --- --- --- | ---------\n", + " 16 7 7 10 0 | improve_greedy\n", + " 19 15 6 0 0 | rep_improve_nn\n", + " 1 1 1 4 33 | improve_divide\n", + " 2 13 14 8 3 | improve_nn\n", + " 2 4 12 18 4 | improve_mst\n" ] } ], "source": [ - "improved = [improve_greedy_tsp, rep_improve_nn_tsp, improve_rep_nn_tsp, \n", - " improve_divide_tsp, improve_nn_tsp, improve_mst_tsp, ]\n", + "improved = [improve_greedy_tsp, rep_improve_nn_tsp, improve_divide_tsp, improve_nn_tsp, improve_mst_tsp]\n", "\n", "compare(improved)" ] @@ -2561,9 +2561,9 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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\n", 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\n", 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\n", 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\n", 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LZ7oLkrZA1hZJ08HaolGY8EbeMyFJzcZ+SZIkSdLmkGTcSUwmdR84SZIkSdLMM8BJkiRJUiMMcJIkSZLUCAOcJEmSJDXCACdJkiRJjTDASZIkSVIjDHCSJEmS1AgDnCRJkiQ1wgAnSZIkSY0wwEmSJElSIwxwkiRJktQIA5wkSZIkNcIAJ0mSJEmNMMBJkiRJUiMMcJIkSZLUCAOcJEmSJDXCACdJkiRJjTDASZIkSVIjDHCSJEmS1Ig5M90BaVOsXLmKxYtPZfXqdcybtw3Lli1ijz12m+luSWqctUXSdLC2aJRSVTPdh/UkqdnYL80OK1eu4pBD3sOKFScA2wO3sOeeSzjnnFdaDCVtMmuLpOlgbdGmSkJVZbjdIZRqzuLFpw4UQYDtWbHiBBYvPnUGeyWpddYWSdPB2qJRM8CpOatXr+POIjhme9asWTcT3ZG0hbC2SJoO1haNmgFOzZk3bxvglqHWW5g717ezpE1nbZE0HawtGjXfOWrOsmWL2HPPJdxZDLux5MuWLZqxPklqn7VF0nSwtmjUnMRETRqbzWnNmnXMnetsTpJGw9oiaTpYW7QpNjSJiQFOkiRJkmYZZ6GUJEmSpMYZ4CRJkiSpEQY4SZIkSWqEAU6SJEmSGmGAkyRJkqRGGOAkSZIkqREGOEmSJElqhAFOkiRJkhphgJMkSZKkRhjgJEmSJKkRBjhJkiRJaoQBTpIkSZIaYYCTJEmSpEYY4CRJkiSpEQY4SZIkSWqEAU6SJEmSGmGAkyRJkqRGGOAkSZIkqREGOEmSJElqhAFOkiRJkhphgJMkSZKkRhjgJEmSJKkRBjhJkiRJaoQBTpIkSZIaYYCTJEmSpEYY4CRJkiSpEQY4SZIkSWqEAU6SJEmSGmGAkyRJkqRGGOAkSZIkqREGOEmSJElqhAFOkiRJkhphgJMkSZKkRkwY4JLsmuQrSS5NckmSV/Xtj0nyjSQXJvlWkscNrHN8kiuTXJ7k0IH2/ZNcnOSKJO+ankOSJEmSpC3TZM7ArQVeU1X7Ak8Ajk6yN/A2YElVPRZYArwdIMk+wBHA3sDTgZOSpN/W+4Cjqmo+MD/JYSM9GkmSJEnagk0Y4Krquqq6qH98M/BfwFxgHbBTv9h9gdX948OBM6pqbVVdBVwJLEiyC3CfqrqgX+504LmjOhBJkiRJ2tLNmcrCSXYH9gO+Cbwa+FKSdwABntgvNg/4xsBqq/u2tcC1A+3X9u2SJEmSpEmYdIBLsgPwKeDYqro5ySv6x59J8jzgZOCQUXVs6dKldzxeuHAhCxcuHNWmJUmSJGlWWb58OcuXL59wuVTVxAslc4AvAF+sqhP7thuq6r4Dy9xQVfdNchxQVfXWvv1sumvkVgHnVdXeffuRwEFV9Ypx9leT6ZckSZIkbYmSUFUZbp/sbQROBi4bC2+91UkO6jf+e3TXugF8DjgyybZJ9gD2Ar5VVdcBNyZZ0E9q8iLgs5t4PJIkSZK01ZlwCGWSJwEvBC5JciFQwOuBlwLvTnIP4DbgZQBVdVmSM4HLgNuBowdOpx0DnApsB5xVVWeP9nAkSZIkacs1qSGUm5tDKCVJkiRtze7uEEpJkiRJ0gwzwEmSJElSIwxwkiRJktQIA5wkSZIkNcIAJ0mSJEmNMMBJkiRJUiMMcJIkSZLUCAOcJEmSJDXCACdJkiRJjTDASZIkSVIjDHCSJEmS1AgDnCRJkiQ1wgAnSZIkSY0wwEmSJElSIwxwkiRJktQIA5wkSZIkNcIAJ0mSJEmNMMBJkiRJUiMMcJIkSZLUCAOcJEmSJDXCACdJkiRJjTDASZIkSVIjDHCSJEmS1AgDnCRJkiQ1wgAnSZIkSY0wwEmSJElSIwxwkiRJktQIA5wkSZIkNWLOTHdA2hQrV65i8eJTWb16HfPmbcOyZYvYY4/dZrpbkhpnbZE0HawtGqVU1Uz3YT1Jajb2S7PDypWrOOSQ97BixQnA9sAt7LnnEs4555UWQ0mbzNoiaTpYW7SpklBVGW53CKWas3jxqQNFEGB7Vqw4gcWLT53BXklqnbVF0nSwtmjUDHBqzurV67izCI7ZnjVr1s1EdyRtIawtkqaDtUWjZoBTc+bN2wa4Zaj1FubO9e0sadNZWyRNB2uLRs13jpqzbNki9txzCXcWw24s+bJli2asT5LaZ22RNB2sLRo1JzFRk8Zmc1qzZh1z5zqbk6TRsLZImg7WFm2KDU1iYoCTJEmSpFnGWSglSZIkqXEGOEmSJElqhAFOkiRJkhphgJMkSZKkRhjgJEmSJKkRBjhJkiRJaoQBTpIkSZIaYYCTJEmSpEYY4CRJkiSpEXNmugPaeiTr3Uh+1qqqme6CpEmytkiaDtYWzVYGOG0201FcErBmSVs3a4uk6WBt0WzlEEo1bcmSme6BpC2RtUXSdLC2aBQyG0+5JqnZ2C9JkiRJ2hySUFXrjeX1DJwkSZIkNcIAJ0mSJEmNMMBJkiRJUiMMcJIkSZLUCAOcmrZ06Uz3QNKWyNoiaTpYWzQKzkKppnk/FUnTwdoiaTpYWzQVzkIpSZIkSY0zwEmSJElSIwxwkiRJktQIA5wkSZIkNcIAp6YtWTLTPZC0JbK2SJoO1haNgrNQSpIkSdIss8mzUCbZNclXklya5JIkrxp47pVJLu/b3zLQfnySK/vnDh1o3z/JxUmuSPKuURyYJEmSJG0t5kximbXAa6rqoiQ7AN9J8mVgF+DZwKOram2SBwAk2Rs4Atgb2BU4N8nD+1Nq7wOOqqoLkpyV5LCq+tJ0HJgkSZIkbWkmPANXVddV1UX945uBy4F5wCuAt1TV2v65n/SrPAc4o6rWVtVVwJXAgiS7APepqgv65U4HnjvKg5EkSZKkLdmUJjFJsjuwH/BNYD5wYJLzk5yX5IB+sXnANQOrre7b5gHXDrRf27dJkiRJkiZhMkMoAeiHT34KOLaqbk4yB9i5qh6f5HeBfwIeNqqOLV269I7HCxcuZOHChaPatLYgS5d2X5I0StYWSdPB2qKNWb58OcuXL59wuUnNQtmHtS8AX6yqE/u2s4C3VtW/9d9fCTweeClAVb2lbz8bWAKsAs6rqr379iOBg6rqFePsz1koNSkJ+FaRNGrWFknTwdqiqdjkWSh7JwOXjYW33meAg/uNzwe2raqfAp8DXpBk2yR7AHsB36qq64AbkyxIEuBFwGc3/ZAkSZIkaesy4RDKJE8CXghckuRCoIDXA6cAJye5BPgVXSCjqi5LciZwGXA7cPTA6bRjgFOB7YCzqurs0R6OJEmSJG25vJG3muZQBEnTwdoiaTpYWzQVd3cIpSRJkiRphk16FkptXe53P/j5z2e6F5OT9f4uMfvsvDP87Gcz3Qtp5llbRsvaInWsLaNlbZndHEKpcXmKf7R8PaWOvwuj5espdfxdGC1fz9nBIZSSJEmS1DgDnCRJkiQ1wgAnSZIkSY0wwEmSJElSIwxwkiRJktQIA5wkSZIkNcIAJ0mSJEmNMMBJkiRJUiMMcJIkSZLUCAOcJEmSJDXCACdJkiRJjTDASZIkSVIjDHCSJEmS1AgDnCRJkiQ1wgAnSZIkSY0wwEmSJElSIwxwkiRJktQIA5wkSZIkNcIAJ0mSJEmNMMBJkiRJUiMMcJIkSZLUCAOcJEmSJDXCACdJkiRJjTDASZIkSVIjDHCSJEmS1AgDnCRJkiQ1wgAnSZIkSY0wwEmSJElSIwxwkiRJktSIOTPdAc1ORSAz3YstRw38V9qaWVtGy9oidawto2Vtmd0McBpXKMrf25FJLIMSWFtGzdoidawto2Vtmd0cQilJkiRJjTDASZIkSVIjDHCSJEmS1AgDnCRJkiQ1wgAnSZIkSY1wFko15y0vexm3XXHFeu3bzZ/Pcf/4jzPQI0lbAmuLpOlgbdGoGeDUnNuuuIKl//Zv67Uv3fxdkbQFsbZImg7WFo2aQyglSZIkqREGOEmSJElqhAFOkiRJkhphgJMkSZKkRjiJiZqz3fz54174u938+Zu7K5K2INYWSdPB2qJRS1XNdB/Wk6RmY7+2Jgn4IxgdX0+p4+/CaPl6Sh1/F0bL13N2SEJVZbjdIZSSJEmS1AgDnCRJkiQ1wgAnSZIkSY0wwEmSJElSIwxwkiRJktQIA5wkSZIkNcIAJ0mSJEmNMMBJkiRJUiMMcJIkSZLUCAOcJEmSJDXCACdJkiRJjTDASZIkSVIjDHCSJEmS1IgJA1ySXZN8JcmlSS5J8qqh5/8yybok9xtoOz7JlUkuT3LoQPv+SS5OckWSd432UCRJkiRpyzaZM3BrgddU1b7AE4BjkjwSunAHHAKsGls4yd7AEcDewNOBk5Kkf/p9wFFVNR+Yn+SwkR2JJEmSJG3hJgxwVXVdVV3UP74ZuByY1z/998Brh1Z5DnBGVa2tqquAK4EFSXYB7lNVF/TLnQ489+4fgiRJkiRtHaZ0DVyS3YH9gG8mORy4pqouGVpsHnDNwPer+7Z5wLUD7ddyZxCUJEmSJE1gzmQXTLID8CngWOA3wOvphk9KkiRJkjaDSQW4JHPowttHquqzSR4F7A58r7++bVfgu0kW0J1xe+jA6rv2bauBh4zTPq6lS5fe8XjhwoUsXLhwMl2VJEmSpOYsX76c5cuXT7hcqmrihZLTgZ9U1Ws28PxKYP+q+nmSfYCPAf+DbojkOcDDq6qSnA+8CrgA+Ffg3VV19jjbq8n0S9MnAX8Eo+PrKXX8XRgtX0+p4+/CaPl6zg5JqKoMt094Bi7Jk4AXApckuRAo4PVDwauAAFTVZUnOBC4DbgeOHkhjxwCnAtsBZ40X3iRJkiRJ45vUGbjNzTNwM8+/vIyWr6fU8XdhtHw9pY6/C6Pl6zk7bOgM3JRmoZQkSZIkzRwDnCRJkiQ1wgAnSZIkSY0wwEmSJElSIwxwkiRJktQIA5wkSZIkNcIAJ0mSJEmNMMBJkiRJUiMMcJIkSZLUCAOcJEmSJDXCACdJkiRJjTDASZIkSVIj5sx0BzR7JTPdgy3HzjvPdA+k2cPaMjrWFulO1pbRsbbMbgY4jatqpnswOUk7fZXUzu+rtUVqSyu/r9YWjYJDKCVJkiSpEQY4SZIkSWqEAU6SJEmSGmGAkyRJkqRGGODUtCVLZroHkrZE1hZJ08HaolFIzcKpcJLUbOyXJEmSJG0OSaiq9W6Q4Rk4SZIkSWqEAU6SJEmSGmGAkyRJkqRGGOAkSZIkqREGODVt6dKZ7oGkLZG1RdJ0sLZoFJyFUk1LwLeKpFGztkiaDtYWTYWzUEqSJElS4wxwkiRJktQIA5wkSZIkNcIAJ0mSJEmNMMCpaUuWzHQPJG2JrC2SpoO1RaPgLJSSJEmSNMs4C6UkSZIkNc4AJ0mSJEmNMMBJkiRJUiMMcJIkSZLUCAOcmrZ06Uz3QNKWyNoiaTpYWzQKzkKpzSZZbxKdWcv3n9QOa4uk6WBt0Uzb0CyUc2aiM9o6WVwkTQdri6TpYG3RbOUQSkmSJElqhAFOkiRJkhphgJMkSZKkRhjgJEmSJKkRBjhJkiRJaoQBTpIkSZIaYYCTJEmSpEYY4CRJkiSpEQY4SZIkSWqEAU6SJEmSGmGAkyRJkqRGGOAkSZIkqREGOEmSJElqhAFOkiRJkhphgJMkSZKkRhjgJEmSJKkRBjhJkiRJaoQBTpIkSZIaYYCTJEmSpEYY4CRJkiSpEQY4SZIkSWqEAU6SJEmSGjFhgEuya5KvJLk0ySVJXtm3vy3J5UkuSvLPSXYcWOf4JFf2zx860L5/kouTXJHkXdNzSJIkSZK0ZZrMGbi1wGuqal/gCcCfJ3kk8GVg36raD7gSOB4gyT7AEcDewNOBk5Kk39b7gKOqaj4wP8lhIz0aSZIkSdqCTRjgquq6qrqof3wzcDkwr6rOrap1/WLnA7v2jw8HzqiqtVV1FV24W5BkF+A+VXVBv9zpwHNHdyiSJEmStGWb0jVwSXYH9gO+OfTUS4Cz+sfzgGsGnlvdt80Drh1ov7ZvkyRJkiRNwpzJLphkB+BTwLH9mbix9jcAt1fVJ0bZsaVLl97xeOE/27DBAAAgAElEQVTChSxcuHCUm5ckSZKkWWP58uUsX758wuVSVRMvlMwBvgB8sapOHGhfBLwUOLiqftW3HQdUVb21//5sYAmwCjivqvbu248EDqqqV4yzv5pMvyRJkiRpS5SEqspw+2SHUJ4MXDYU3p4GvBY4fCy89T4HHJlk2yR7AHsB36qq64AbkyzoJzV5EfDZTTweSZIkSdrqTHgGLsmTgH8HLgGq/3oD8G5gW+Cn/aLnV9XR/TrHA0cBt9MNufxy334AcCqwHXBWVR27gX16Bk6SJEnSVmtDZ+AmNYRyczPASZIkSdqa3d0hlJIkSZKkGWaAkyRJkqRGGOAkSZIkqREGOEmSJElqhAFOkiRJkhphgJMkSZKkRhjgJEmSJKkRBjhJkiRJaoQBTpIkSZIaYYCTJEmSpEYY4CRJkiSpEQY4SZIkSWqEAU6SJEmSGmGAkyRJkqRGGOAkSZIkqREGOEmSJElqhAFOkiRJkhphgJMkSZKkRhjgJEmSJKkRBjhJkiRJaoQBTpIkSZIaYYCTJEmSpEYY4CRJkiSpEQY4SZIkSWqEAU6SJEmSGmGAkyRJkqRGGOAkSZIkqREGOEmSJElqhAFOkiRJkhphgJMkSZKkRhjgJEmSJKkRBjhJkiRJaoQBTpIkSZIaYYCTJEmSpEYY4CRJkiSpEQY4SZIkSWqEAU6SJEmSGmGAkyRJkqRGGOAkSZIkqREGOEmSJElqhAFOkiRJkhphgJMkSZKkRhjgJEmSJKkRBjhJkiRJaoQBTpIkSZIaYYCTJEmSpEYY4CRJkiSpEXNmugPSpli5chWLF5/K6tXrmDdvG5YtW8Qee+w2092S1Dhri6TpYG3RKKWqZroP60lSs7Ffmh1WrlzFIYe8hxUrTgC2B25hzz2XcM45r7QYStpk1hZJ08Haok2VhKrKcLtDKNWcxYtPHSiCANuzYsUJLF586gz2SlLrrC2SpoO1RaNmgFNzVq9ex51FcMz2rFmzbia6I2kLYW2RNB2sLRo1A5yaM2/eNsAtQ623MHeub2dJm87aImk6WFs0ar5z1Jxlyxax555LuLMYdmPJly1bNGN9ktQ+a4uk6WBt0ag5iYmaNDab05o165g719mcJI2GtUXSdLC2aFNsaBITA5wkSZIkzTLOQilJkiRJjTPASZIkSVIjDHCSJEmS1AgDnCRJkiQ1wgAnSZIkSY0wwEmSJElSIyYMcEl2TfKVJJcmuSTJq/r2nZN8Ocn3k3wpyU4D6xyf5Moklyc5dKB9/yQXJ7kiybum55AkSZIkacs0mTNwa4HXVNW+wBOAY5I8EjgOOLeqHgF8BTgeIMk+wBHA3sDTgZOSjN2/4H3AUVU1H5if5LCRHo0kSZIkbcEmDHBVdV1VXdQ/vhm4HNgVeA5wWr/YacBz+8eHA2dU1dqqugq4EliQZBfgPlV1Qb/c6QPrSJIkSZImMKVr4JLsDuwHnA88uKquhy7kAQ/qF5sHXDOw2uq+bR5w7UD7tX2bJEmSJGkS5kx2wSQ7AJ8Cjq2qm5PU0CLD398tS5cuvePxwoULWbhw4Sg3L0mSJEmzxvLly1m+fPmEy6Vq4tyVZA7wBeCLVXVi33Y5sLCqru+HR55XVXsnOQ6oqnprv9zZwBJg1dgyffuRwEFV9Ypx9leT6ZckSZIkbYmSUFUZbp/sEMqTgcvGwlvvc8Ci/vGLgc8OtB+ZZNskewB7Ad/qh1nemGRBP6nJiwbWkSRJkiRNYMIzcEmeBPw7cAndMMkCXg98CzgTeAjd2bUjquqGfp3jgaOA2+mGXH65bz8AOBXYDjirqo7dwD49AydJkiRpq7WhM3CTGkK5uRngJEmSJG3N7u4QSkmSJEnSDDPASZIkSVIjDHCSJEmS1AgDnCRJkiQ1wgAnSZIkSY0wwEmSJElSIwxwkiRJktQIA5wkSZIkNcIAJ0mSJEmNMMBJkiRJUiPmzHQHpE2xcuUqFi8+ldWr1zFv3jYsW7aIPfbYbaa7Jalx1hZJ08HaolFKVc10H9aTpGZjvzQ7rFy5ikMOeQ8rVpwAbA/cwp57LuGcc15pMZS0yawtkqaDtUWbKglVleF2h1CqOYsXnzpQBAG2Z8WKE1i8+NQZ7JWk1llbJE0Ha4tGzQCn5qxevY47i+CY7VmzZt1MdEfSFsLaImk6WFs0agY4NWfevG2AW4Zab2HuXN/OkjadtUXSdLC2aNR856g5y5YtYs89l3BnMezGki9btmjG+iSpfdYWSdPB2qJRcxITNWlsNqc1a9Yxd66zOUkaDWuLpOlgbdGm2NAkJgY4SZIkSZplnIVSkiRJkhpngJMkSZKkRhjgJEmSJKkRBjhJkiRJaoQBTpIkSZIaYYCTJEmSpEYY4CRJkiSpEQY4SZIkSWqEAU6SJEmSGmGAkyRJkqRGGOAkSZIkqREGOEmSJElqhAFOkiRJkhphgJMkSZKkRhjgJEmSJKkRBjhJkiRJaoQBTpIkSZIaYYCTJEmSpEYY4CRJkiSpEQY4SZIkSWqEAU6SJEmSGmGAkyRJkqRGGOAkSZIkqREGOEmSJElqhAFOkiRJkhphgJMkSZKkRhjgJEmSJKkRBjhJkiRJaoQBTpIkSZIaYYCTJEmSpEYY4CRJkiSpEQY4SZIkSWqEAU6SJEmSGmGAkyRJkqRGGOAkSZIkqREGOEmSJElqhAFOkiRJkhphgJMkSZKkRhjgJEmSJKkRBjhJkiRJaoQBTpIkSZIaYYCTJEmSpEYY4CRJkiSpERMGuCQfTnJ9kosH2h6T5BtJLkzyrSSPG3ju+CRXJrk8yaED7fsnuTjJFUneNfpD0dZo+fLlM90FSVsga4uk6WBt0ShM5gzcKcBhQ21vA5ZU1WOBJcDbAZLsAxwB7A08HTgpSfp13gccVVXzgflJhrcpTZmFUNJ0sLZImg7WFo3ChAGuqr4K/HyoeR2wU//4vsDq/vHhwBlVtbaqrgKuBBYk2QW4T1Vd0C93OvDcu9l3SZIkSdqqzNnE9V4NfCnJO4AAT+zb5wHfGFhudd+2Frh2oP3avl2SJEmSNEmpqokXSnYDPl9Vv9N/fyJwXlV9JsnzgJdX1SFJ3gN8o6o+3i/3IeAsYBXw5qo6tG9/MvDXVXX4BvY3cackSZIkaQtWVRlu29QzcC+uqmP7jX6qD2rQnXF7yMByu/ZtG2qfdEclSZIkaWs32dsIpP8aszrJQQBJfo/uWjeAzwFHJtk2yR7AXsC3quo64MYkC/pJTV4EfHYkRyBJkiRJW4kJz8Al+TiwELh/kqvpZp18KfDuJPcAbgNeBlBVlyU5E7gMuB04uu4co3kMcCqwHXBWVZ092kORJEmSpC3bpK6BkyRJkiTNvMkOoZSmTZIXJ/mPge/XJXnYTPZJ0uySZGWSg0e5XpKDklwzXfuWpLtj+PPROM+fl+Qlm7NPmh0McJotarzHSU5J8rcz0B9JWweHoUiazaxRWo8BTrPRZpmFtL+GU5I2C2uOJGkUDHDabJK8LskPktyU5D+TPHeC5V8KvBD4636dz/bte/fDBn6e5JIkzx5Y5y7DCTYwPPPoJFcAV/Rtf5/k+iQ3Jvlekn1GfOiSRuOx/e/oz5N8Ism2AEmeleTCvv2rSR493spJtktyapKfJflP4Hen2oG+/vwwyQv67zdY1/r689Uk70zyE2DJQNt7ktyQ5DKHZ0ozJ8lvJ/lUkh8nWZHklX37kiSfTHJa//t9SZL9B9Z7XZJr++cuT/LUvj1Jjuvrwn8nOSPJffvndus/hyxKcnWSnyZ5eZLH9bXtZ/09lQdtM9l6keQl/TI/TfLFJA+dhpdMs4ABTpvTD4AnVdWOwAnAR5I8eEMLV9UHgY8Bb6uqHavqOUnm0N2u4mzggcCrgI8lefhG9js8/OA5dB/c9klyKPAUYK+q2gk4Avjpph2epGn2fOBQYA/gMcCiJPsBH6abHfl+wAeAzyW55zjrL+3X3QM4DHjxVHbef3g7Gzimqj7ZNw/XtY8O1bX/0S/zIOCNA21XAvfv+/QvYx/wJG0+SQJ8HrgQ+G3g94BjkxzSL/Js4OPATv1y/9CvN59udvUD+t/9w4Cr+nVeBRxO99liLvBz4KShXS+gu9XWC4B3Aa8HDgYeBRyR5CkDy06qXiR5DnAc8Fy6z0f/AXxiaq+IWmGA02ZTVf9cVdf3j/+J7kPNgilu5vHA9lX11qpaW1XnAV8A/mgK23hTVd1YVb+iu93FDnRhLlX1/bE+Spp1Tqyq66vqBroPU4+lu43N+6vq29X5CPArulox7PnA/+1//1cD757Cvg+ku3/pn1TVF8cax6lrV3LXura6qk6qqnV9zQG4vqreXVW/qaozge8Dz5xCXySNxu8CD6iqN/a/j1cBH+LOzxRfraov9bfE+gjwO337b4BtgUclmVNVV1fVyv65lwNvqKofVdXtwN8Cz0sy9pm7gL+tql9X1bnALcAnquqnVbWGLng9dqCPk60XLwfeXFVXVNU64C3AfkkecjdfI81CBjhtNkleNDDM6efAvsADpriZucDwrHGrgHlT2Ma1Yw/6APheur+qXZ/k/Ul2mGKfJG0eg39cuZXujy+7AX/VDz36WV9bdqWrFcPmMvD7T1c7JuvlwNeq6i4zwk2iro03y+Xqoe9XbaC/kqbXbsC8ofpxPN0Zc4DrBpa9FdguyTZVtQL4C7ozYtcn+XiSXQa2+emxbXLnvZEHz8z/eODxL7lrbfslXW0bM9l6sRtw4sB+f0oXFqfy+UiNMMBps+jHYf8j3c3dd66qnYFLmXjCkuHhj2uA4b8mPZQ7C9wtwG8NPLcL67vLNqvqvVX1OGAf4BHAayfok6TZoYCr6c6q3a//2rmqdhgY4jjoR9y1fuw2hX39b+ChSd451jDJujbeDHLDH6geSlfbJG1e1wA/HKofO1XVsyZasarOqKqncGcdeWv/79XA04e2uX1V/WgT+zjZenEN8PJxauH5m7hfzWIGOG0u2wPrgJ8k2SbJ/6Ib6z2R64HBe8J9E7g1yV8nmZNkIfAs7hznfRHwh0nunWQv4KiNbby/cHhBf23dL4Hb+n5KasMHgVckWQCQZPskz0iy/TjLngkcn+S+SXYF/nwK+/kF8DTgwCRv7ts2ta49KMkr+xr2fOCRwFlT6Iuk0fgW8Iv+M8V2Se6RZN8kj9vA8oHuGrgkT003kdKv6T4/jH12+ADwprEJRJI8MMnhw9uYggePUy/+dZzl3g+8Pv1EbEl2SvK8Ke5LjTDAabOoqsuBdwDn0w1J2Bf46oYWH3j8YWDffkjAv/TjyZ8NPAP4Cd3wxz+tqiv75f+ebqjCdcApwEc3sm2AHek+AP4MWNlv8+1TPkBJ023ceyFV1XeBPwPe2w8buoK7Tk4yuN4JdH8dX0k3GcnpU9l3Vd0EHAI8LckJfV17J5Ora4O+CTycrt4sA/5nVf18kn2RNCL9tWLPAvajqws/pvtMsOOGVun/vRfdNWb/TXc27IF0Qy8BTqS7XvbLSW4Evs5dr4sdrmUTfX8+69eLG4aXrarP9H06I8kNwMV0f3TSFijddZmSJGm6JXkxcFRVHTjTfZEktckzcJIkSZLUiDkz3QFJkmZSP832Zdx16FL67/epqmvHXVGSpBngEEpJkiRJaoRDKCVJkiSpEQY4SZIkSWqEAU7TJskxSS5IcluSk4ee2y3JuiQ3JflF/+8bBp7/qySX9O0rkvzV0PpXJbm1f/6mJGdvruOSNLsl+UiSHyW5Icl/JRn3fpBJ/qavQwdv7j5KatvGPuNI081JTDSdVtPds+Qw4N7jPF/ATrXhCzH/lO4+JnvR3U/l6qo6c2DdZ1bVeSPus6T2vRl4aVXdlmQ+8G9JvltVF44tkORhwPPo7uEkSVM10Wccadp4Bk7Tpqo+U1Wfo7tJ9njCBt6DVfV3VXVRVa2rqivobor5pHHWn1CSJUnO7P8qf1OS7yV5eJLjklyfZFWS3x9YflF/1m/s7N8fTWY/kmaHqrqsqm7rvx2bTXLPocX+Afhr4PaNbSvJeUmWJflaP1rgs0nul+SjSW5M8s0kDx1Y/u/7unJjX2v2GeWxSZodJvEZ5w5JXpzkq0nemeTnSX6Q5Al9+9VJrkvyooHln5Hk0v5zyDVJXjOtB6PmGOA0kwq4qi9eJye5/0aWfQpw6VDbx/oPSmcn+Z0J9vUs4DTgvsBFwJfoPtjNpfsL2j8CJPkt4ETgsKraEXhiv7ykhiT5hyS3AJfTnWU7a+C55wO3VdVkh16/AHghXb3YC/g68GFgZ+C/gCX9dg8FngzsVVU7AUcAPx3JAUlq3QK6zxP3Az4BnAE8ju6PS38KvLf/DALwIbpRBDsCjwK+svm7q9nMAKeZ8hPgd4HdgAOA+wAfG2/BJCfQha1TBpr/GNi9X3858KUkO25kf/9RVedW1Trgn4AHAG+pqt/QFdHdB9b/DfDoJNtV1fVVdfmmHaKkmVJVxwA70AWqfwF+BZBkB+CNwKumsLlTquqqqvoF8EVgRVWdN1BPHtsvdztdLdsnSarq+1V1/WiOSFLjVlbV6f1lI58EdgVOqKrbq+oc4Nd0fyCif7xvkvtU1Y1V5R+SdRcGOM2Iqrqlqr7bD5H8b+DPgUOTbD+4XJI/B/4EeEZV3T6w/jeq6ldVdVtVvQW4ge4s3YYMfoj6JfCTgWvvftn/u0NV3Ur31/ZXAD9K8vkkj7g7xyppZlTn68BD6H6nAU4ATq+qa6awqeH6Mfz9Dv3+zgPeSzc88/ok7+8DoyQN1w2q6idDbWP14n8CzwRW9cO4H795uqhWGOA0mxQD78kkL6G7RuXgqvrRJNad1DVxE3ai6pyqOhTYBfg+8MFRbFfSjJnDndfAHQy8qp+l8kd04e7MJK8dxY6q6r1V9ThgH+ARwEi2K2nrUVXfqarnAg+kmwPgzAlW0VbGAKdpk+QeSbYD7gHMSXKvJPfon1uQZH4696e77uy8fogSSV5IN8zpkKpaNbTdhyR5YpJ79tt8LXB/4Gsj6PODkhzej0O/HbiZbkilpAYkeWCSFyTZPsk2SQ4DjgTO7Rc5mO6aksf0X2vg/7d390FW1fcdx98fXLChPIhPRBC3WRWxmqDVyTjTqhUfY4gZW2mUWmxMwnTGaidxqk6KokukRjujTiNJ4wOCJFqMWq0mastoYx5MYxxJQ7QWZwUS1iXAIuCyCvLtH7/fxeP17nKX3St7735eM2fmnvt7OOcss5/ld87vnMNs0lWz/m77xJxtTaSz6d3Azv72a2aDT2//x6m2ix76HS5ppqQx+TaPLfj/IVbGAzirpTlAF3A16QEAXUDpXW8twJPAZtKrArpJ97WVzCPd6PtzvfeeuAW5bDTwTdKTn34DnAWcExGd/djX0nTKYcBXSI8HXg+cwntTr8xs8AvS7+waUkbcDPxdRDwBEBGdEbGutAA7gE15+nRP/VVrDOmK/UagjZQht+zZYZjZINfb/3GqUZ4txfW/AtokbSKdYJqJWYF6fgWXmZmZmZmZDSa+AmdmZmZmZlYnPIAzMzMzMzOrEx7AmZmZmZmZ1QkP4MzMzMzMzOqEB3BmfSDpEknP7e39MLPG4mwxs1pwtjQmD+BsF0kjJN0l6XVJb0p6UdI5PdS9TtJOSdPKvv8jSf+VH/3fLunyCm1PzW1ba3UsNeZHt5r1gbOlas4Wsz5wtlTN2dJgPICzoiZgNXByRIwFrgWWSjqsWElSC3AB6QW4xe8PAH5AekfbOOAI4OmyOk3AbcDzNToGMxt8nC1mVgvOFhuSPICzXSKiKyJaI2JNXn+C9DLaE8qq3gFcBWwv+/4rwJMR8UBE7IiItyLif8vqXAk8BbzS275ImitpqaT78ku8l0s6UtI1kjokrZJ0RqH+mHwWbq2kNZLmSVIua5G0TNJ6SeskLZE0ptC2TdKVeRudku6XNKKan5mkKZKelrRB0suSZhTKFkr6hqTH8zH8VNLHqunXrJE4W5wtZrXgbHG2DFUewFmPJI0HjgRWFL6bAXRHxJMVmpwEdEr6cQ6rRyVNKrRtBj4PtAKqYhemA4uA/YCXSAEqYAIwD/h2oe4i4B2gBTgeOBP4YmnTwHzgo8DRwKHA9WXbmgGcBXwMmAr89e52TtJI0pm6JcCBwIXAAklTCtU+B8zNx/AacOPu+jVrdM6W3jlbzPaMs6V3zpbG4QGcVaQ0ZWAJcG9EvJq/G0X6Rb6ih2aHArOAy4FJwOvA/YXy24E5EdFV5W48FxH/GRE7gQdJYXNTRLwLPAA05zNY44FPAV+OiO6IWE+a7nARQES8FhHL8tm1DcCtwKll27o9IjoiYhPw78BxVezfdKAtIhZHshx4iBSqJY9ExC/yMXynyn7NGpazxdliVgvOFmfLUNK0t3fABp98CX8J8DYp1EquBxaXpipUsI30i/9i7ucGYL2k0cCfAqMj4nt92JWOsr7XR0QU1gWMAiYCw4H20uyDvKzO+3EwKYRPzvX3ATb2sq0u4JAq9q8ZOElSqS/lvhcX6rxR1u+oKvo1a0jOFmeLWS04W5wtQ40HcFbJ3aSzRufms0YlpwMTJV2W1w8i3Sz89Yi4BfglH3zSUWl9GnCCpPa8PhbYIenjEXF+P/d3DdANHFAIyqL5wE7gmIh4U9JngX/u5zZL2302Is4egL7MhgJnS/XbdbaYVc/ZUv12nS0NwFMo7X0kfQuYApwXEe+UFU8DjiXNtZ5KeprTbNLNwQALgfMlfULScNLToH4UEVuAOcDkQtvHgDtJc8v7JSLeIM3pvlXSaCUtkk7JVUYDW4EtkiYCf9/fbWaPA5MlXSypSdJwSSdKOmqA+jdrGM6WPnG2mFXJ2dInzpYG4QGc7aL02N3ZpPnOHUrvRNksqTQnuzMi1pUWYAewqTQ3PCKeAb4KfJ90Cb4FmJnL3ipruw14K8/d3lPFs1azgBHAr0nTDB4k3fwLcAPpiVSleeIP9dJP9RuP2Eq6gfhC0h+FtcBNwL570p9Zo3K29HHjzhazqjhb+rhxZ0vDUOUrt2ZmZmZmZjbY+AqcmZmZmZlZnfAAzszMzMzMrE54AGdmZmZmZlYnPIAzMzMzMzOrEx7A2ZAnqVnSTkkVfx8ktUma9mHvl5nVN2eLmdWCs8U8gLMeSRoh6S5Jr0t6U9KLks7poe51OUymFb4bK+leSR2S3pA0t4e2p+a2rbU6lir4caxmHxJni5nVgrPFhoqmvb0DNqg1AauBkyNijaRPA0slHRsRq0uVJLUAF5DeJ1J0G/AR4DDSu02WSXo9IhYV2jbles/X9lDMbBBxtphZLThbbEjwFTjrUUR0RURrRKzJ608AbaSXSxbdAVwFbC/7fjpwc0S8HRGrgLuBS8vqXAk8BbzS275ImitpqaT78ks6l0s6UtI1+UzZKklnFOqPyWfh1kpaI2meJOWyYZL+SdLvJK0EPl3tz0TJNZJW5vYPSNovl5WmNMzK+7NO0ler7dtsqHC2VNwPZ4tZPzlbKu6Hs6UBeQBnVZM0HjgSWFH4bgbQHRFP9tSs8HkYcGyhbTPweaC1rF5PpgOLgP2Al0gBKmACMA/4dqHuIuAdoAU4HjgT+GIumw2cC0wFTiSdhavWFcB5wMl5u53AgrI6f0z6OZ0BXCfpqD70bzbkOFsAZ4vZgHO2AM6WxhQRXrzsdiFNS/gPYEHhu1HAq8CkvN4GTCuU3wc8mOsdAawEthXK/w24IH9eCLT2sv25wFOF9enAZkCFfXkXGAOMB7qBfQv1LwSW5c/LgNmFsjNz22E9bHvXcQG/Bk4rlB1CCtxhQHPu55BC+c+Av9jb/35evAzWxdnibPHipRaLs8XZ0siL74Gz3cqX8JcAbwOXF4quBxZHnqpQweXAN4D/A9YD3wUuyn1+BhgdEd/rw650FD5vA9ZHTpu8LlIgTgSGA+2l2Qd5Kc1/nwAU93lVH/ahGXhE0s68LtIUjPE97GdX3iczK+NseR9ni9kAcba8j7OlAXkAZ9W4GzgQODci3i18fzowUdJlef0g0s3CX4+IWyJiE3BxqbKkG4H/zqvTgBMktef1scAOSR+PiPP7ub9rSGeyDigEZVE7MKmw3tyHvlcDl0bET8sL8tQKM6ues+U9zhazgeNseY+zpQH5HjjrlaRvAVOA8yLinbLiaaS54VPzspY0T/uO3LZF0v755ttPAV8izfkGmANMLrR9DLiTNLe8XyLiDeBp4FZJo/MNvC2STslVlgJXSJooaRxwdR+6/xdgvqTD8jEeJOm8Qnk1c+LNhjxnywc4W8wGgLPlA5wtDcgDOOtR/mWfDRwHdEjaovQkpYsAIqIzItaVFmAHsCkiunIXJwD/Q5rzfSMwMyJeyW3fKmu7DXgrn/3aU8WzVrOAEaS53xtJc9o/msvuJN1IvBx4AXioD/3eDjwKPC3pTeAnwCd7qFtp3WzIc7ZU7NfZYtZPzpaK/TpbGlDpRkozMzMzMzMb5HwFzszMzMzMrE54AGdmZmZmZlYnPIAzMzMzMzOrEx7AmZmZmZmZ1QkP4GxIknSJpOdqvI1fFR4BbGZDgLPFzGrB2WJFHsAZki6T9HNJ3ZLuqaL+lyW1S9ok6S5Jwwtl4yQ9ImmrpLbSo3sL5adLejmXLyu9l2QvGbBHsEpaKKn1fZ1HHBsRPxyobZjVG2dL/zlbzD7I2dJ/zpb65gGcAfyW9KLKu3dXUdLZwFXAaUAzcDhwQ6HKAqAbOAi4GPimpKNz2wNI7y75B2B/4BfAvw7YUdSIpH329j6Y1SlnSy+cLWZ7zNnSC2fLEBARXrwQEZDC8J7d1PkO8LXC+mlAe/48EngbOLxQvgiYnz9/CfhRoWwk0AVM7mFbz+R9+jGwhfQiyv2BJcCbwM+Awwr1pwBPAxuAl4EZhbL9gcdyu+eBVuCHPWy3GdgJXAqsAp7N3y8F2oFO4Fng6MJxvUP6A7AZeDR/3wZMy59HALeR/uj8BrgVGL63/wAuKqMAAAN+SURBVM29ePkwFmfLrrrOFi9eBnBxtuyq62wZYouvwFlfHQMsL6wvBw6WNA6YDGyPiNfKyo+p1DYiuoCVhfJKPgf8JTABOAL4CemM2zjgFWAugKSRpBBcAhwIXAgskDQl97OAFLrjgS+QQm53TiGF69l5/fukM3cHAy8C383HcSfpD8TNETEmIj5boa85wCeBTwBT8+c5VeyD2VDhbHG2mNWCs8XZ0nA8gLO+GkU6G1SyGRAwOpdtLqu/OZdValteXsnCiHg9IrYAPwBei4hnImIn8CBwfK43HWiLiMWRLCdNe5ghaRjwZ8C1EdEdEStIZ9h6E8DciNgWEW8DRMS9EdEVEdtJZ8KmSupt34tmAjdExIaI2ECavjGryrZmQ4GzxdliVgvOFmdLw/EAzvpqKzCmsD6WFBpbKpSVyrf00La8vJKOwudtFdZH5c/NwEmSNualkxQ+40nz2ptIUwBKVvWyzZJd9SUNk3STpJWSNpGmGQTprFk1JgCry7Z/SJVtzYYCZ4uzxawWnC3OlobjAZz11QrSpfSS44COiOgEXgWaJB1eKJ+a25TaHlcqkPT7pEv7K+i/NaQ53/vnZVyeFvC3wO+A7cCkQv1qniJVfNrTTOAzpLnh+wF/QDqDpwp1K1lLCuuS5vydmSXOFmeLWS04W5wtDccDOEPSPpJ+D9iHFGT79vIEo8XAFyQdneePzwEWwq654Q8DrZJGSvoTUnjcl9s+Ahwj6XxJ+5Lmgb8UEa8OwGE8DkyWdLGkJknDJZ0o6ag8beFh4HpJH5H0h8Alu+lPZeujSTc6d+YA/0feH34dQEsv/d0PzJF0oKQDgWt57+di1pCcLRU5W8z6ydlSkbNlCPEAziCFWRdwNenG2y7SI3ORNEnSZkmHAkTEU8DNpCcttQGvAdcX+rqM9JSmdaQbc/8mIl7ObdcDfw7MBzYCJ5Ju2u1J1e87iYitwFm5v7V5uQnYN1e5nBRm7cA9eem1y7L1xaSpBL8FfkW6KbnoblLIb5T0cIU+vga8APySdEP0C8CN1RybWR1ztux+284Ws75ztux+286WBqaIAXsnoJmZmZmZmdWQr8CZmZmZmZnVCQ/gzMzMzMzM6oQHcGZmZmZmZnXCAzgzMzMzM7M64QGcmZmZmZlZnfAAzszMzMzMrE54AGdmZmZmZlYnPIAzMzMzMzOrE/8PhK+RqiUfs8kAAAAASUVORK5CYII=\n", "text/plain": [ - "" + "" ] }, "metadata": {}, From 3825a705a2bca4c567ec81ab5282659009ece650 Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Sun, 8 Apr 2018 18:53:54 -0700 Subject: [PATCH 54/90] Add files via upload --- ipynb/TSP.ipynb | 447 ++++++++++++++++++++++++++---------------------- 1 file changed, 245 insertions(+), 202 deletions(-) diff --git a/ipynb/TSP.ipynb b/ipynb/TSP.ipynb index 7904616..c71b39b 100644 --- a/ipynb/TSP.ipynb +++ b/ipynb/TSP.ipynb @@ -12,8 +12,10 @@ "\n", "In this notebook we will develop some solutions to the problem, and more generally show *how to think about* solving problems. The algorithms developed here are used in [serious applications](https://research.googleblog.com/2016/09/the-280-year-old-algorithm-inside.html) that millions of people rely on every day.\n", "\n", - "\n", - "
An example tour.
\n", + "|![](http://support.sas.com/documentation/cdl/en/ornoaug/66084/HTML/default/images/map002g.png)|\n", + "|---|\n", + "|[An example tour](http://www.math.uwaterloo.ca/tsp/history/pictorial/dfj.html)|\n", + "\n", " \n", "# Understanding What We're Talking About\n", "\n", @@ -213,7 +215,7 @@ "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -263,14 +265,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "alltours: 9 cities ⇒ tour length 2450 (in 1.040 sec)\n" + "alltours: 9 cities ⇒ tour length 2450 (in 1.001 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -372,14 +374,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "alltours: 10 cities ⇒ tour length 2720 (in 1.470 sec)\n" + "alltours: 10 cities ⇒ tour length 2720 (in 1.479 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -472,14 +474,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "nn: 200 cities ⇒ tour length 11477 (in 0.005 sec)\n" + "nn: 200 cities ⇒ tour length 11477 (in 0.006 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -499,14 +501,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "nn: 1998 cities ⇒ tour length 33688 (in 0.523 sec)\n" + "nn: 1998 cities ⇒ tour length 33688 (in 0.507 sec)\n" ] }, { "data": { "image/png": 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\n", 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\n", 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\n", 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -653,10 +655,7 @@ "\n", "# Improving Tours\n", "\n", - "Every time two links in a tour cross, forming an X, we could shorten the tour by uncrossing the X.\n", - "The nearest neighbor algorithm sometimes makes mistakes (like forming crosses), and it is hard for it to avoid such mistakes, because when it is part-way through the tour, it doesn't know where the future rest of the tour will be. So, rather than trying to make those difficult decisions, the **improvement strategy** says to first complete the entire tour, then improve it by making changes. It will be easy to decide if the changes are good, because we can ask directly: does the change make the whole tour shorter?\n", - "\n", - "Consider this tour:" + "The nearest neighbor algorithm sometimes makes obvious mistakes. Consider this tour:" ] }, { @@ -665,20 +664,17 @@ "metadata": {}, "outputs": [ { - "data": { - "text/plain": [ - "16.246211251235323" - ] - }, - "execution_count": 21, - "metadata": {}, - "output_type": "execute_result" + "name": "stdout", + "output_type": "stream", + "text": [ + "nn: 10 cities ⇒ tour length 17 (in 0.000 sec)\n" + ] }, { "data": { - "image/png": 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+ "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -686,16 +682,18 @@ } ], "source": [ - "tour = [City(x, 1) for x in range(5)] + [City(x, 0) for x in range(5)]\n", + "cities10 = {City(x, 1) for x in range(0, 5)} | {City(x - 1.49, 0) for x in range(5, 10)}\n", "\n", - "plot_tour(tour); tour_length(tour)" + "do(nn_tsp, cities10)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Clearly, this is not an optimal tour. We can improve it by uncrossing the X: deleting the two long diagonal links, (leaving us with two unconnected segments, each of 5 cities in a straight horizontal line), and replacing them by two short vertical links (forming a rectangle). You can think of this as erasing and drawing links, or you can think of it as **reversing a segment**: Consider the tour as starting out clockwise from the red start city, going left-to-right along the top, zigging to the lower left, and going left-to-right across the bottom. We want it to go right-to-left along the bottom segment (which is the segment with indexes 5 to 10 in the tour), so we should reverse the segment:" + "Starting at the upper left, the tour goes to the right, picking up the 5 cities in a line, jogs downward, and continues to the right, picking up the remaining 5 cities. But then it has a long diagonal link back to the start. Once you've seen this a few times it becomes clear: *any time a tour has an \"X\" where two links cross, we can shorten the tour by uncrossing the \"X\".* (This is true because of the [triangle inequality](https://en.wikipedia.org/wiki/Triangle_inequality).)\n", + "\n", + "You can think of uncrossing the X as deleting two links and adding two new ones. Or you can think of it as **reversing a segment**: this tour visits the bottom 5 cities in left-to-right order; let's reverse that segment and visit them in right-to-left order:" ] }, { @@ -706,7 +704,7 @@ { "data": { "text/plain": [ - "10.0" + "15.299342436137655" ] }, "execution_count": 22, @@ -715,9 +713,9 @@ }, { "data": { - "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -725,16 +723,21 @@ } ], "source": [ + "tour = nn_tsp(cities10)\n", + "\n", "tour[5:10] = reversed(tour[5:10])\n", "\n", - "plot_tour(tour); tour_length(tour)" + "plot_tour(tour)\n", + "tour_length(tour)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "That's an improvement! Here is how we can check if reversing an arbitrary segment is an improvement, and if so do it:" + "That's an improvement! \n", + "\n", + "It is difficult to get nearest neighbors to avoid making mistakes (like crossing an X), because when it is part-way through the tour, it doesn't know where the future rest of the tour will be. So, rather than trying to solve the difficult task of avoiding the mistakes, the **improvement strategy** says to go ahead and create the complete tour, mistakes and all, and then do the much easier task of fixing the mistakes. Why is it easier to fix the mistakes? Because we can propose a change to the tour and get a definitive answer: either the change makes the whole tour shorter or it doesn't. The changes we propose will all consist of reversing segments; here is how we can check if reversing an arbitrary segment would be an improvement, and if it is, go ahead and do the reversal:" ] }, { @@ -757,7 +760,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Now I'll define `improve_tour` to consider various segments, and reverse the ones that improve the tour. What segments should we consider? I don't know how to be clever about that, but I do know how to use **brute force**: try all segments of all lengths at all starting positions. (I have an intuition that trying longer segments first would be better, so I'll write `all_segments` that way.) After I've tried all segments, if one of them did improve the tour that might open up new possibilities, so I'll repeat the process until there are no improvements." + "Now I'll define `improve_tour` to consider various segments, and reverse the ones that improve the tour. What segments should we consider? I don't know how to be clever about that, but I do know how to use **brute force**: try every subsegment. (I have an intuition (from experience with [simulated annealing](https://en.wikipedia.org/wiki/Simulated_annealing)) that trying longer subsegments first would be better, so I'll write `subsegments` that way.) After I've tried all segments, if one of them did improve the tour that might open up new possibilities, so I'll repeat the process until there are no improvements, then return the improved tour:" ] }, { @@ -769,24 +772,24 @@ "def improve_tour(tour):\n", " \"Try to alter tour for the better by reversing segments.\"\n", " while True:\n", - " improvements = {reverse_segment_if_improvement(tour, start, end)\n", - " for (start, end) in all_segments(len(tour))}\n", + " improvements = {reverse_segment_if_improvement(tour, i, j)\n", + " for (i, j) in subsegments(len(tour))}\n", " if improvements == {None}:\n", " return tour\n", "\n", - "@cache(None)\n", - "def all_segments(N):\n", - " \"Return (i, j) pairs for each segment tour[i:j] for tours of length N.\"\n", + "@cache()\n", + "def subsegments(N):\n", + " \"Return (i, j) pairs denoting tour[i:j] subsegments of a tour of length N.\"\n", " return [(i, i + length)\n", " for length in reversed(range(2, N))\n", - " for i in range(N - length + 1)]" + " for i in reversed(range(N - length + 1))]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Here are all segments of 5 city tours:" + "Here are all the subsegments of a 5 city tour:" ] }, { @@ -797,7 +800,7 @@ { "data": { "text/plain": [ - "[(0, 4), (1, 5), (0, 3), (1, 4), (2, 5), (0, 2), (1, 3), (2, 4), (3, 5)]" + "[(1, 5), (0, 4), (2, 5), (1, 4), (0, 3), (3, 5), (2, 4), (1, 3), (0, 2)]" ] }, "execution_count": 25, @@ -806,7 +809,7 @@ } ], "source": [ - "all_segments(5)" + "subsegments(5)" ] }, { @@ -815,7 +818,7 @@ "source": [ "# Improved Nearest Neighbor Algorithms\n", "\n", - "Here are two ways of improving nearest neighbor algorithms:" + "Here are two ways of improving nearest neighbor algorithms—either improve the single nearest neighbor algorithm, or improve each candidate tour from the repetitive nearest neighbor algorithm:" ] }, { @@ -838,7 +841,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "We can see that the more `improve_tour` calls, the merrier:" + "We can see that `improve_tour` does indeed fix the 10 cities problem:" ] }, { @@ -850,14 +853,48 @@ "name": "stdout", "output_type": "stream", "text": [ - "nn: 200 cities ⇒ tour length 11477 (in 0.005 sec)\n" + "improve_nn: 10 cities ⇒ tour length 15 (in 0.000 sec)\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "do(improve_nn_tsp, cities10)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The nearest neighbor algorithm on these 200 cities has a lot of X crossing mistakes, which `improve_tour` successfully uncrosses:" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "nn: 200 cities ⇒ tour length 11477 (in 0.007 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -870,21 +907,21 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 29, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "improve_nn: 200 cities ⇒ tour length 9523 (in 0.087 sec)\n" + "improve_nn: 200 cities ⇒ tour length 9523 (in 0.118 sec)\n" ] }, { "data": { - "image/png": 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\n", 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -895,23 +932,30 @@ "do(improve_nn_tsp, Cities(200))" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Can we do even better by improving several repetitions and taking the best?" + ] + }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "rep_improve_nn: 200 cities ⇒ tour length 9450 (in 0.472 sec)\n" + "rep_improve_nn: 200 cities ⇒ tour length 9396 (in 0.325 sec)\n" ] }, { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -926,12 +970,12 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Maybe I could do even better if I passed a higher value of *k* to `rep_improve_nn_tsp` (the default is 5). But `do` doesn't accept extra arguments. I could modify `do`, but instead I'll define a [higher-order function](https://en.wikipedia.org/wiki/Higher-order_function), `bind`, so that `bind(rep_improve_nn_tsp, 5)` creates a new function that calls `rep_improve_nn_tsp` with one extra argument (*k*) bound to 5. My `bind` is similar to `functools.partial`, but does a better job with the function name of the newly created function." + "Yes we can! Note that `rep_improve_nn_tsp` takes a default value of *k*=5 repetitions. Could we do better still by trying more repetitions? Maybe, but there's a problem: `do` doesn't accept extra arguments. I could modify `do`, but instead I'll define a [higher-order function](https://en.wikipedia.org/wiki/Higher-order_function), `bind`, so that `bind(rep_improve_nn_tsp, 5)` creates a new function that calls `rep_improve_nn_tsp` with one extra argument (*k*) bound to 5. (My `bind` is similar to `functools.partial`, but does a better job with the function name of the newly created function.)" ] }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 31, "metadata": {}, "outputs": [], "source": [ @@ -945,21 +989,21 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 32, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "rep_improve_nn, 50: 200 cities ⇒ tour length 9264 (in 3.695 sec)\n" + "rep_improve_nn, 200: 200 cities ⇒ tour length 9290 (in 15.438 sec)\n" ] }, { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -967,13 +1011,15 @@ } ], "source": [ - "do(bind(rep_improve_nn_tsp, 50), Cities(200))" + "do(bind(rep_improve_nn_tsp, 200), Cities(200))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ + "The extra repetitions did indeed help.\n", + "\n", "# Non-Random Cities" ] }, @@ -992,7 +1038,7 @@ }, { "cell_type": "code", - "execution_count": 32, + "execution_count": 33, "metadata": {}, "outputs": [], "source": [ @@ -1017,7 +1063,7 @@ }, { "cell_type": "code", - "execution_count": 33, + "execution_count": 34, "metadata": {}, "outputs": [], "source": [ @@ -1026,14 +1072,14 @@ }, { "cell_type": "code", - "execution_count": 34, + "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "image/png": 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/A16f7ZbG/yzJAAAAAElFTkSuQmCC\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1048,21 +1094,21 @@ }, { "cell_type": "code", - "execution_count": 35, + "execution_count": 36, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "rep_improve_nn, 80: 80 cities ⇒ tour length 13512 (in 0.890 sec)\n" + "rep_improve_nn, 80: 80 cities ⇒ tour length 13491 (in 0.864 sec)\n" ] }, { "data": { - "image/png": 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\n", + "image/png": 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G64m8OiIiBbyaKAsR1sRVbd3Zi0RGIzZZAIdvKjLpZZg1MyLnTTOUJyJHlfeCKsCH4nqwvw6cDdXLpZIXS9ktMdt2vP9fVc7O9eugpXEVzSuUKmi3ejHKNZW8udM+MGuiyFM10T4/QsT31KYlI6oOS9BPQLs2eu9W0Bt97zMb0T1vfMscmHkuganzYeC8cqzLbceQn8q974sx28Xx/Aj1XPQtQNgnRHnl0skNo01ANwf9GnR13/vMRnTPm9xy1ztsB06GQZ+W6+YFe44q1/4B7e4ii8qboFnMDT+u50dYI6ZmqMgmWbWCtAJj1+Dq+US6/lDlENnzplka1IfqAwxVvXV6edbUfuUy7p8BsOFjquNOL8GysqK6YLpIdR/noyi0x0Q8z4+wiKmy+HZeRDMrlyPwWYiwF7ARcEApFiwiq3SDOybCSar6XSmWWXnEPSP31O9hlR1EJo0trT+hnrLunwHAoBIsJyctrxoQ9/OjzPie2hQ+zdSV4dPxcPL8qNkWcT0GaoJkwYmg/Uqz3LZ796Tt4mmgPWm7GNru7fs4xHHE2SYdju8i0zpOmlvsOkA3DkJ1vSbP5t72nqPgsGUwVGF6rM6PUPaRbwEKO6DaNsiCvjUKBeoyyPcF6LqgA3HdtIrupAVt996e1X6ZHxhR54Nuz2q/mMJo6f6sP29O+gROnRaF8yY/ucOxp6dfV33/BVO/Bu1T3DL1XNDbfO/D5re5sZI8YhFsPSou50co+8m3APkfUF0e9FnQ+6P6hAI6O3Bqf5UpOa/w5bFKT9ounp9+hwgURtVS+PAPoFsS0U5vUR6kqv/m3eHQR7mK1Lr9VEAF3c2dzxfu3NJtx3UjLErhlHcbzbGdz4i0zyIV89xpHei8AZzwMXQ7VjVj4ptXnKynrQKLXoCfFsL93xXSBD4T3eCOf7JohVUbvb8q8Ag/tN6d06+ZwQvfAjUi/Aj8L8uYocqSooRJGKp8ITJ5Npz7jIi0zt2wKlMjnIG9RKr7hBOH//VXPuzpqrwk8sodsOAFGL18odsuwnrABsDL5ZSzpYiwHGyxnTm288C3tsqu7TNNDY+aGsVpYbnsyTQzs3C+C1Zx31PBlXHoBXo46Pm4kg5jcGVGlgQmsleDmdkloH8C3RV0PVpY8sHnk3Zpjln2nALQ9qDbgB4KOtSZrPw9fcK4a+DUhT78LcXlLugQ0Lt9H+8McgnofqAT4Mw5NrPIY5/5FiD7wYzP1LCcspbCZxE43LsEJoVjQC8FfQDXVW1WoEymBsrlrkDZHB4on7Uz+V7i7Cxu/pid8VVgTlwEOh50JOgwOPFjH2ag4PjVgM6FC3b24acrxgQWPKDs6/t4N5KpF+jLuCCU/eN+Loc1ImyGilPMc/lkVa17TqTdPntR/fQjLGh1GG2XvM3iA1Trnst/GfwMzAjGS40/F2FFYD1cfZ76cWCDv1cSYTpppq19+qVMMlBEDR5PZDtmc2fjwp2/0AbmTpH5PaFuM09hldcDN6jWvga8FsL6GtGykFIROgDdgTFlFC5vRNgU13xsB+CvwH2qLIMFtDw3o3KIsLLIdoIu/dGTQM1QvvhsZyvf6si32X7h7jy8aAY/7KX64/hil9sQdU1hJgcjgwxUAzWkKZPOm8dHmWci2zGbPEmVzxt+U4RV4YrNYfBsuLFTA7t92RvhBE2LulNwl7dSMmEoDOyV7q+5cBmc9kyOHx4APKMh+stSfs5UbStYsATXOfAgXKLsUaqk3Uei0dEx4vie2mSfKmaaGp74NUz9BvQ2IlRCo3w+i+hOj+NkJix23wYmu5vCDtfGlcmeAvq7aOyvhtv+0OG43ImzMpkpA/lHg/YPUcadoc8CuEDhYoVJ6vKxpn4Leg3oar73Y5yHdwFyHPwmFyeu4dFNuJpLp1BA6GPYsha/zOjekKOsyEp5zEAPBP0MtF348umFoKN876dm5FsP9G3QR0DbN/psddDvw9pv7lgetiD9fDwjUBh7RnYfxmmI29HxQ4QtcPX41wBOU21qi487IgPGwsjdm37S/0XVf/02fInScVP+gW/DnBnw2SdJs/MG5eXHAwNUGRfyumuAd4AeqkwPc92FEPi7bgO2Bw5UZUrw/jHAfqoMCEeO3iNg9BFNzYrXAB9G4nqJOxH2WTSPKh+JsAfQH7hXhLeAszRRzUqiXavGFW3jc+AkVd71LU8pEUGAvwMPhK0oAm4Aro+yogDn7xLhOGAgME5k1Dlw9R7Qe2+Y/Ul4/SCyBSwsJSrXS9xp5VuAYghmRyOBzYGJwHsi/FWElTyLViImDHVO1Lrg/zrg/MUw92KPQjVmBeAn30KUgcOArjjHaKiIsC/QDfdYHHmC6/DvcO9AePVO94R/zepw107Qb4ybgZabqqrUdVJPHfDmD+UOQqgUYmuGyoQIXYCrgZ7AmcBIVWK9ganojg6dYM5suKsDbP6RKmUt9ZwvIkzGmRsyRlLFERE6Ae8D+4Q9YwrMOhOAP6uSd3h0FMhuCur7oOq4skQaBTPAi2HKUVDbCm7tkorYOv4HeHof1QUewo2TR2zNUJkITFCHiLAbcBOp/sIf+ZWs5TQO6XNhnLwrwuuqPO5NsBTLk6CZRXDzuRO43ZNp7SxgfNwUhSPc3CgRWuGu851go17wr7Yw2XIlykSilEU9qrwUNKQ/CXhBhEeAv6oy37NoRaPKtyIcDDwrwnifT/RBPay1YMoIkc+nJ+TiPAZYB+cLCxUR1geGANsW/tum+QXhH4vwfGwitAHuBdYFdlPl+6AWm+VKlAvf4VjlHkEI322gc3Clw1tUBylqA/RE0I98hHS69cc/dDbDPu0C+g3oFp7W/wTo+XE9FmHJgWtV8BTok6Ar+T5vKmUkymfRHCJshZuyVuNCbV+NxtNYywjMJfcCAhytGq5vxod9upwEJo3RwBhVhnlY/37AdcAWWmDGc5SORbqPrfSmIBFWAZ4EpgPHqrK0VMs2mieRZqhMqPJh4Ms4BHhQ5KP3of+WcGuNn5LTxaGKinAy8CZwAs7OHiJxqt2VFyfjNuDqsFccOLVvBAYVrigQ2HCTqByLcpbNEGFt4HngFWCIRrBVQZKJdehsoQSzqUeArnDz+ilFAalCeN1r/UlYGKoswvU2rhVhu3DXXm+fbkh0ckAKQYSNgEtwM7SfPYhwNvC+Ks/n+wMRuopwCfAJrNs187FYvLCUQvokSFJ8DRgFDDZFET4VpSzqUaUO5s2LytNYMahzcA8CHhNhtfDWPGEonDE3PQek/IX1So1rfsO9QK0qn3pY/wbAacBf8vmuCOeJ8CGukmsVcBTcskXTfJwz5sItO4twmQhty7YBISDC5sCrwE2qXBK2ydVwVIwZqiEitId1N4xydnQhqPK4CDsB94vw+zCeulz29vhXYWBHqPsxxqGKQ4BlOH+WD24ArtVGlW7rEaEzcDAuSXB94HHgVOC11HHOXGIbbv8J5weZKMKpUD0hbj46EXoC/wHOUOVB3/JUNL497GEP0PVdU5v3/+k67yUjmge0DejroOeFuM6PQbf0ve1FyL+5ayqkG3ha//6gn4Ku0Oj9tUAHgb6C63c1HLRvS4tmut9+Ns1Xp73CZG3YfXHAGJg6F3Q/33LZiHjV2ZJv7K/N5/VUUAm75HQI27cOTJ0D/UeXu9UpaDVoXVSq/rZA/tZBxdSB4a63/pw76CU47wd49KhAnlVBjwX9P9DvQB8MlMkKpVnvzg9FtYJx+r5pHHp77Bdxvy6TMrwLENqGoicHuRZ9fMtSvm2sqoHjZoXx9Bgo3nG+t7kI+YcGN+aMvRjKd3wa3wxP+AomjA7KeY8EPRi0benX3fLWqOHtn+iW5LcR6baqLSc9f2LOl3DzL7DNtsBOGpRQTibda1Od3KDMrU57AG+XeJmhIMLWwGBgW9UwnaXda5u2or1+bThpKoxYV9WlIJeHaFcwdiQuHDtRJE5ZOEXRb0x6C8jzFsFFO6g+mWBFASFfbD2Ap8uw3LIiwvLAfcCZqswMd+3Zjs+iJeVVFBBEr+0F164RZlvYwoiDQqtcEhg6m+npbVhbmHeuT6nCIdTchx645jxx4yJgBnB/+Kv2l5viop5OeQNO+i/0fxH6PghPRCwBdcJQOG1W3MOxk0oClUUlT2VXHgYX/lzuiy2ofLsWxKsseRCGeQJwYrjmp3oy9Scp/81QpLrGlQT5Z1+Y+zWMOVZ13JHRUhT1Cu0PN8O506Kr0CqXxJmhKnsq++xA+PBf0Hdpmcs098BlHC8r8XLLRtAQ6z5cXbCvfMjgclOa5kOU82aYwSzbDwZ2j25Zmz1Whz2Gq3K5b0mMdBJXSFDk9B1AXoe/LZdum032E4oIvXEJW921zKXYRTgPWF2VM8u5nlIiwrVAZ1UO9S1LmESpyGA+iPBvXCvbkb5lMdJJ1MzCFVW7/mJ44ybou1alNEERYQXgH7iaOWH07OgBPBbCelpMekTcL0vh2q1hg26+5Qqf2JllNyVm5s1KIRHKInVj2KIHrLImjDpVdXLCI5/SOA93gYXVOa8HcE5I6yqYzBFxQ76CR9rDgrmexQuZ+JhlRWiNK2lSSddufPCd6FHsiErjF3/br92Chj3rhLS+tUC/DTOZrXAZLbkrtS/icX04Off6N5y/OAnVFJI4EjCzyBQqW7ZEtEgRVEwdDgxVZVZIq90OeFc1ypU/Y2d6KRvpTvUeu8CP38IT/aJkls0wEzwiTr1lKoUEKIuKvjGcAiwB7gpxndsT+fyK+JhewqC+IZEIvwFuVr1rul+JGlO5D3xxIgF5FvFuwlMfAy8yYKx7ra7J73d0wSWYnajhNoKJQZkPP/kMMWAc0DHooREhKvqBLzYkYGYxYSgM7JXuzIzHjSGzIzb79Ds9wqdmUzjoHtUdw27Y0wPXTyGypEwvi4dDzdbw+rNJj4jLB1WWifAEcCBwrW95UthMMBb4dpqUYqTKPg94Ec5fCHcf6Fum/OTO5og9+EXQ7UA71ZcAz+yoPCpUR2UgzzdRdm43kvdg0JG+5YjSAN0b9DXfcqTL9NQgGLIk6k74Sh8JmFmkN4kX4QTgZFyv3oizTufM0+/1tsD5IToCq4swF05eAS5aLd2u+/cNYUqYdt0ewDuqUXZup1EF5S7QFzvGAg+L0EE9ZbI3RIRq2Pd8mHcE9D2gUnKj4kgilEUj7gPOF2EnVV73LUw2RFgZumyWefo97jnVX5Vfa2Bt+PLf0K5Rj+3Q7bpxKx5YDfzgW4goocpPIjwL9APu8C0PUAs8p/rHx+GPYeUJGS0gAQ7udFT5CbgMuMS3LNkQYW3gJTji+VyOWFV+VmUWTPk0Ao78GERCpWEzi8z8C+jvWwgRegCHEOEETyNF4mpDAYjQBvgUOFqVV33L05AgEuV5YARwKVR3cU7r5qffWZzhodW8cqVU+BrYSpVYOB5FuBqYq8qVvmWJEiK0B2YDXVT51pMMywFvAjercp8PGYzCSKIZClWWilALXAzs4VmcXxFhS+AZYJgqt7p3U/6W5vBRsbQR6wFL46IoAqqAab6FiBqqLBThRWBf3ENLSUiP1vsy1/k5CFiIl74iRktIpLIIeAC4QIRdVHnFhwAZitltCxv8WZVHWrK8ho58D8TNXwFOWZjPIjOjcKaokiiLQsLAReiEyxHaJUbBEhVPYpVFMLv4G853sXvY68988QyeDY++GVMzehyVhTm4s/MkcKMIbVVZVPzims/CTn9w6rwBHPFP1Z4fF79eIywS5+BuxAigswi7hb/qTBfPjZ3c+7EkjsrCHNxZqa6CMxfBcW8UUjkgO9mysLttLTKoh3twGn0EjNwdLu8Ct+xT/DqNMEm0slDlZ3Czi8BBGyLZLp7f7C/C8SJUhStPy0i15LxwN9jjmJhd4DazyEBq1ntJBxi+hbuJ9xtT3LHNVnanfTWs8XrTB6e/bxDjB6eKJNHKIuAhXHJbyKaobBfP/97FORY/F2G4CDuGr8jyI3VTGX0E/K01/Oeg4m8qoWIzi4xkMxkVc/POVo9r+C4wcZzVfoo/iVcW/mYX2S4RAOJGAAAQzUlEQVSe545V5UCgK65h0X3ABBFOF2GN8OTLh3LcVMpPajY0tAv0uTxGyi0kSl+4zzmxn+gDtd/DkW9C3wdTYd1fzopAjpBRLL7rjYQxQFvDZ1NhwBjoPzas5iqpmlUHZl0nqIDuAno/6Hegj4LuCdrK/37rPza9blX9OHCsb9ma3+fhNvtJHefwzq3i5C1fcyjQt0F7+j4mNko/EhsNlU51ZzisHdy3Rz7VXUtFPqGuqijwCvCKCKsAfwCuBFYV4W7gHlVmFhjDXiLiWA0022yo+vmg4uoPwViY4+9FwbFplkIrB6f/LuzjWU9ZKzU3PmGIQI6QUQIqRFl0r4Xr1456cxVVvgNuA24TYVvgeOBDkUkfwKFd4YYOYSq7zDeVQf+Ldvn3bCaWZQDzcH6MNYD2wd9Vjf6u/38FERaSUh5ZlMuhe8INGZTT58OAwzNJ2FIFUypSN+9VXoAlS2DCeyW8eTdRFvXrJELXmlE4FaIs4tdcRZX3gEEinAmXj4Y7OoSt7Jo+Ea7dEYa8q3rf9HKts3iyzYbGv60FlP0ICji2J6dSWaEq87m16yEi/A6YhSutMTv19z4H++4M544tc4BztLQlcTIqCyP+VIiyyHYDmRNhc4pDlUUiPy7xpewalX9fFfhEhC1VGV/udbeM0phY1AVGfBeMrIi8txXU1TQ9t8Y8DJeeBnQC1gleOwFdofPmEXl42QiYUuJlmrJIKBWiLDLdQM5fDHesWroM1nISDd+BKt+KcDFwgwh75GPTD5vw7ePZlZMq84H5wISGvxAZtzLUHeHzeLoS+bSDkve0MGWRUBJZdTYTKYdi/Q3kp0vhnaFAN6CfKl94FjErvivOpstCa+B94CLVODSYKj9Nz63mlVMUjmfgE7tHla1KvNwrgW9VuaKUyzX8UyEzi8wONhGOBs4G3hShvypv+pAtF6mn5ZpPYPLbMHOGr2gSVX4WYQhwpwjPqLIkbBmiRqHO29Tx1IdgzfXhzRc8HM+NgM/KsFybWSSUilEWmQjMKFeK8DHwlAiDVXnIt1yZWbAA+IkIVOpU5QURPgKGgPWKaAmBg/leYHtVTvAgQjn8FeCUxTplWK7hmcRncOeDKv/B9b24TITLRCK5XzYGPvOtKBpwJnCWCB19CxJj2gBLPa27nMrCZhYJJIo3RS8E0T09gV2AkSJ9N3fVOAeMLU1VzqIpl9mgRagyBbgb18LWaBk+lcXGmLIwCqCizVCNUeUbEfrAh/dDt/fhsuV9JE1loVwXdzHUAp+KsJ0q7/oWJoa0wZkWfWAzC6MgbGbRCOewPXlpSlFARArobUyEZhYAqiwALsQ10Ylk5dyIszwhzyxckcVd/wkXrgU7XVGGGbMpi4RiyiIjkcz4jpQZqgH34HbOIb4FiSGhmqFSIbvPHAp/awX/V4I+Fk0wZZFQTFlkJFsvivAL6DUot70t7HF6BHwnaaiyDBgMXCXCSr7liRkh+yxCKTlvyiKhmLLISKZeFH/5OuwCeunNh2oj23xIlVeAt3ARUkb+FOSzqH9wyDfoQoS2IvQSYaAIt8Nv9g9hxmzKIqGYgzsDTUtGLF4It+wEdywfriTZngSjVS034CzgHRHuVmWWb2FiQt4+i1yVakVYC9ga2CZ43RroAnwMfODG5Degbs8ylxkxZZFQTFlkoXFWrgiDgIdE6K0aVgRLJH0nGVFlugh3AFcAR/mWJyYUYIbK9uCw5mtBXtBK/KoUeBYYBnzS8FwVeeFJGJihzEhJZ8ymLBKKKYv8+TvwO+AS4LxwVhmNAoIFMAwXSttLlTd8CxMDClAW2R4cvp8P7A98nithM5wii5usAX+oEvlobPhNnYxyYsoiT1RREY4DPhB5eDzcvG/5u5xlqmg6+MuoNh9SZaEI5+Oq0vZW5RffMkWcvMxQLvdnoy0zPzh8PF6VGfmusJxNiAJT2XNwlkC73SOSn2SUCt99XeM24LGj4fSlYfUTTu/jfdALrpe4Lu97P2SXV1uBvgV6pG9Zoj5AH2xuP4FuDzoGdDI8fUrU+1iXs7e3Df/DZhYFc11fGN06LKdzBt/J08CpwLWlXlcpUOWXoCrtIyKMUm0Sg2ykyGiGEmEzXHb8jjiz5z2q+ywVOezpaPexjo+PzSgcUxYFk+2C6NUnaAw0pcGYp1rywn9/AV4XYYQqc0q87JKgyjgRXgXOAS7yLU8UcSab43rBD11FJu3vTIsLfgYuBvoB1wB/1AaNuaLfxzp2PjajAExZFEy2C+LracBywL64bOuNAUTSlEfDMaclikSVT0W4D/fk6aO0db6cA3wgwnAtwKZeCaTCYGvXhXbrQl13OGtfmAZscDuwiSrfehazBRx8P1x4GPxtuTJGWxmeqJhOeaUi3y5nQa2k1XCKI9NYicxKZAowW5txDruWmNM+gyHvQJsVoxp1Esy0NlPlMN+yRAmXkT86Q1vVA/6lOnqAL7mKRYSHYNzncGbn6JrKjJZiM4sCyTf8MJg1zAtGkw58IqwCbEhKeewEHB38vbII08isSGZC9apwuMLDv4tQVdxMXAV8IsLOqrzmW5jokM2UWbWqD2lKgQibAH2h94aq4xb4lscoPaYsWkApbMeqfAe8G4w0RGhPuiLZDjg0+HtNOGUJDK2Oema3KotEOBcXStuzudlSZZFI2/65wC3qKhEbCcSURQRRZSHwYTDScMX6Zr4E7XqmfxLZqJOHgT/jZk33eJYlImTKn4mvbV+EGpxTfmPPohhlxJRFzFDlR5Fpn0Fdzzg8maqiIgwGnhDhcVV+8C2Tb8LJpA6Vs4E7VZnvWxCjfJiDO4bk62SPEkEE12zVsEqlGGEgQidgAi6Q4Wvf8hjlw5RFTHEKo3tsnkyDm8p4oKcq03zLY5QGEa4FWqlyum9ZjPJiysIIDREuALZVJbbhoUYKEdYEPgW2UCtLn3is+ZERJtcB24qwm29BjJIwBHjUFEVlYDMLI1REOBi4ANhOXUtWI4aIsCou76eHKv/zLY9RfmxmYYTN48AC4DjfghhF8WfgSVMUlYPNLIzQEWEbXDe3TVX53rc8RmGIUIUrZLWzKp/6lscIB5tZGKGjyvvAU8CFvmUx8kekusbVtRr0Pgyug+olvmUywsNmFoYXRFgbmAjsqMpnvuWpFFIh14V1eYxjbo9RWkxZGN4Q4WycKeP3vmWpBIq54WevlNv3QdVxkalHZpQPM0MZPrkR2FyEvr4FqQy616YUBaQKUHavzf1b64JX6VhtKMMbqiwR4UxcVdqtVPnZt0xh0VJzUPblsSKwdjDWavB3g/d27dnyG34iK+UaBWDKwvDNE7ie4gOBW3wJUeqbd+51NTEHpfUjCZpnVZH1xt/k/xWBr4E5DV7nANOBt9zf4wdD3X4tu+Enq1KuUTjmszC8I8IWwAu4YnShVy5tzpYPC2bgHqraBK+ZRoGf/WEw3LVz05v2hbPgulmklMAy0m/8jRVBw/+/y9WmN/N2DvofjPpt/k7u394Om/WGV/4T9XpkRmmxmYXhHVU+EmEkcDFwWvgSZLPlbzgNEODnRmNphvcK+KzDJpnNQd/Px5XQmIPr0V5Xyq1sWhq94zpw6suq903P//f0B+YCx6uyuJTyGdHGlIURFS4CJolwuyqTCvlh8SakbM7bj14C9sj1xF4oIm+MgLoMkUUfj1flv6VcV2MadnkUoSMwQYS/qTIzv9+zSIRPga3I0C7YSC4WDWVEAlW+AS6HSbeJ9B4hMmCse62uae53KdPK6CNg5O7utd+YXL9Lp+1KNHmIrwO+nF1qReGYMNSZuerX6cf+r8qXwB3AXwv86VtAz5zfMpKFqtqwEYkBm28MQ36ChQqq7vXIKVBVk/49bQu6AWhvOPTl1Pe1we92HJHfOrULTJ0Hx3yea72l3daqGthxBBw41r2Wb105tn8V0G9ANyvgN8eBPuD7fLER7jAzlBEhVv4r1LZp6jtY7SURPgc6BKMN8JUbnTdqaTioCK2Au2GDq+DxR+CT0JpJNTQH+USV70S4GqgFDsrzZ2/hWqkaFYQpCyNCZPMdLFqIqyMVKAgWqDrzkMi4LPb/vOL/BwFtgWtUFywjAjdvT9wCTBZhe1XezuP7k4BOIqyqyrdlls2ICOazMCJEfeJXQ+qAiR+o8rIqn6ryfb2icLTM/i/Cxjhb/dFa4X01VFkEXAoMy/P7y4D3gB7llMuIFpZnYUSGltYuSkVDdd8G2q8M/9i5+e+zHPAq8LAqN5d2K+KJCG1whR0HqTImj+9fjcvtuKzswhmRwJSFESlSN/7CfQcitANmAt1VyWqGCgoY7g30UeWXUsidBEQ4BOeL2D599pbxuwcBR6nSLxThDO+YsjAShQh3AtNUuSLL592BF3E3xOlhyhZ1Aof/28AwVR7P8d31cI7ujrkUi5EMzGdhJI3hwLFBbaU0AlPL/cC5piiaEsyyzgNqRXIGv9Qn8a1bXqmMqGDKwkgab+HKauyc4bMLgC+Bu0OVKF6MBmYDRzf3pWA2Ycl5FYQpCyNRBDexu4FjG74vwnbAycAJZjbJTrBvzgcuFmGlHF83ZVFBmLIwksgI4EARquDXXg/3A0Oac3wbDlXegIkT4djXcpRdMWVRQZiD20gkIowCnlJluAhXAesDh9isIjdOMRz0Cty8bnMhzCKsBswAVqn0XJVKwJSFkUhE/n0cjBsGc2bCul1h9s6qd7/nW644UEi/bREmA/1VmRCqkEboWLkPI3G4J+MDzoO/rwnt1gyejB9t2InOaI6C+m3Xm6JMWSQc81kYCaR7Lfw9QzOj7rU+pYoP2cquZKy3ZX6LCsGUhZFACnoyNpqQqd7WuQuz1NsyZVEhmBnKSCD1T8YtqkRb8TRtvzp3DgzfGm7+LU1zVD4ANhNhJVV+9CCuERLm4DYSR0sLEhrZEWFz4GVgF1U+bvTZO8BpqozzIpwRCqYsjERSTEFCIzMinIjrAdJLlcUN3r8NmKzKDd6EM8qOKQvDMPIiqLf1KDBblcEN3v8TsKcqf/Alm1F+zMFtGEZeBAmNJwL9RNi/wUfm5K4AbGZhGEZBiLATMBLYTpVZQTOpb4H1VZnnVzqjXNjMwjCMglDldVzf7gdEWC4o9fEOsL1fyYxyYsrCMIyWMAx3/zg3+N9MUQnHzFCGYbQIETrjZhT9gQ7Asars51cqo1zYzMIwjBahyhc4h/dDwGSgZ6YOhUYysJmFYRhFIcLNuJnFTkBva1mbTExZGIZRFK651GfvwYhNYPYnMPEDS4JMHlYbyjCMIqnuAAPawS3LQbtuUNcNBvaykvDJwnwWhmEUSfdauGU9KwmfbExZGIZRJFYSvhIwZWEYRpEU1CzJiCmmLAzDKJJMzZIGTs3SLMmIKRYNZRhG0VhJ+ORjysIwDMPIiZmhDMMwjJyYsjAMwzByYsrCMAzDyIkpC8MwDCMnpiwMwzCMnJiyMAzDMHJiysIwDMPIiSkLwzAMIyemLAzDMIycmLIwDMMwcmLKwjAMw8iJKQvDMAwjJ6YsDMMwjJyYsjAMwzByYsrCMAzDyIkpC8MwDCMnpiwMwzCMnJiyMAzDMHJiysIwDMPIiSkLwzAMIyemLAzDMIycmLIwDMMwcmLKwjAMw8iJKQvDMAwjJ6YsDMMwjJyYsjAMwzByYsrCMAzDyIkpC8MwDCMnpiwMwzCMnJiyMAzDMHJiysIwDMPIiSkLwzAMIyemLAzDMIycmLIwDMMwcmLKwjAMw8iJKQvDMAwjJ/8Pee1sdrlfXnIAAAAASUVORK5CYII=\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1084,7 +1130,7 @@ }, { "cell_type": "code", - "execution_count": 36, + "execution_count": 37, "metadata": {}, "outputs": [], "source": [ @@ -1093,7 +1139,7 @@ }, { "cell_type": "code", - "execution_count": 37, + "execution_count": 38, "metadata": {}, "outputs": [], "source": [ @@ -1109,21 +1155,21 @@ }, { "cell_type": "code", - "execution_count": 38, + "execution_count": 39, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "nn: 1089 cities ⇒ tour length 52879 (in 0.164 sec)\n" + "nn: 1089 cities ⇒ tour length 52879 (in 0.176 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1145,21 +1191,21 @@ }, { "cell_type": "code", - "execution_count": 39, + "execution_count": 40, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "rep_improve_nn, 3: 1089 cities ⇒ tour length 44877 (in 10.007 sec)\n" + "rep_improve_nn, 3: 1089 cities ⇒ tour length 44877 (in 9.913 sec)\n" ] }, { "data": { "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1208,7 +1254,7 @@ }, { "cell_type": "code", - "execution_count": 40, + "execution_count": 41, "metadata": {}, "outputs": [], "source": [ @@ -1239,7 +1285,7 @@ }, { "cell_type": "code", - "execution_count": 41, + "execution_count": 42, "metadata": {}, "outputs": [], "source": [ @@ -1263,7 +1309,7 @@ }, { "cell_type": "code", - "execution_count": 42, + "execution_count": 43, "metadata": {}, "outputs": [ { @@ -1277,7 +1323,7 @@ "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1290,21 +1336,21 @@ }, { "cell_type": "code", - "execution_count": 43, + "execution_count": 44, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "greedy: 1089 cities ⇒ tour length 46982 (in 0.612 sec)\n" + "greedy: 1089 cities ⇒ tour length 46982 (in 0.586 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1324,7 +1370,7 @@ }, { "cell_type": "code", - "execution_count": 44, + "execution_count": 45, "metadata": {}, "outputs": [], "source": [ @@ -1333,21 +1379,21 @@ }, { "cell_type": "code", - "execution_count": 45, + "execution_count": 46, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "improve_greedy: 80 cities ⇒ tour length 14220 (in 0.016 sec)\n" + "improve_greedy: 80 cities ⇒ tour length 14133 (in 0.016 sec)\n" ] }, { "data": { - "image/png": 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\n", 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1360,21 +1406,21 @@ }, { "cell_type": "code", - "execution_count": 46, + "execution_count": 47, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "improve_greedy: 1089 cities ⇒ tour length 43733 (in 2.967 sec)\n" + "improve_greedy: 1089 cities ⇒ tour length 43844 (in 2.958 sec)\n" ] }, { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1399,7 +1445,7 @@ }, { "cell_type": "code", - "execution_count": 47, + "execution_count": 48, "metadata": {}, "outputs": [], "source": [ @@ -1430,14 +1476,14 @@ }, { "cell_type": "code", - "execution_count": 48, + "execution_count": 49, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", 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0HmiXYPeZjAscaB+/z2Yt17Hkfz97V8FZ0+HcOXF7H3PHHU17ev3vVf8nYfbnoP0iPpcE9P/8i/l5zT2n8Fay/Aa0fY6/7wQ6GmZ9AqcvqP8dG/wd7DQ2KedHJJ+L6wAK/OCfA30wrhckvHWfOwe7z2R0uoE+DDrcdRwFxLsZ6JcUsMKhyyc8V+txg+4L+hlc3tfBWurdQSeBjgfdtBm/vx/oW/n/3bEvJeE75nqLdZ9FZsxz501hs25wxjTY/jRt1DHlnhfrrzeAWY+JfDI3uPbk+He6idAROAQY5jqWplLlU5EZC+DicSLSMl8fQI5yFXuIlEVUdsNZf8IrIq/dDTUvwfi1o3ztqswWYW/gEuBdEc5R5YkCdnEoTSocuEri/h2LBdfZKne2z9b8cvLsOD4WhtlUFOcni8yd9jlzYNiMOH42a4694stcnxloW9CdQU8AHeE1WblcT9xdc2QczkHQXqAzQf8OWtbE36mmCSVn4vD6krA5DyANH2CYsca1zyKucRX/mV34md+c+B3o+6BjvE7QM6e5aAZq/J73roITJ8KI5XB4j2iO66YJrHEc2hb0btA5oH3z/Nsufp9Hi6a9r8k9l6PaYtwMFf/ml4zNu4YVa2bc+MavQ83XMO39eJSoyFWDJymrz+U6vxYvAAYA87VOc6fIB11g2c/drideb0joI0A/vJIaIYvHkFJVlgJniXAk8LgI9wF/UGVFln9+CPAv1fzznhrPzSjtUuS5xHjxo2QsWCPCPrDlLmHFmum3WbsdfLUwPidxkpJ5NrnOrxlTVZmnjfrFqkd4JbXrLoRzyTKYcXn4sWZ1I97chBbhHyrba7/8J/j1uPCP3Zgq/wB29rdJImxT+3ciZeUie1bBb66GwV29709T9lkzV3XSENUn9/d+xuE7FjOuH22S+miIN1b7CtCF8PgpYcQa5/cgSc2EQb239YeV9n0Ypr0NepXDc3Ai6MDo3q+6Q9UfHuSd+/pbAqrr1IzXL6Bn45USPxva9YV+NXCZwpUKU2PzfUnD5jyANZ8M8ZtL4cWlHUFfBH25dqhsGLHG+YIc50QW1fkF2gF0LugJbuLXY0HfcPf+6eagk0EfBW3rMI6fw0cfwNAVjWtCTY3F9yUNm62UVyARDgBGAfcAf9QmtIk2/1gDJ8CY/Rr/zTEvqz65f1jHbSrvEb9iMiz6GGZOj08TWXRE2AkYDxysyjsRH7slMAs4XtXN2iEirAvcAewGHK3KLDdx7PUwPD+ocb/Kn4H/xuL7knQx7uCOF/+LeQVwOnCyKi+Ff9R4dCzm4nUM8glwVtQXyrhQ5T0RKoCxIuyuymcRHnulCLcA5wODojpugxiWi3A6UAFMEhl7EfzpgOjXmenQMXsf2gri8n1JOksWTSBCZ2A03pm3a3QXhOoRULFH/Ylgly6HxVdGc/wmWQeaV/AtLVQZI0IP4EkR9tNmFsBrpvuAy0Toosq8CI+7mioK3Cny90Xw/qMwvmX0Exdz3Vi9tcT7HpliWTNUHiIcDPwNuB0YGWazU/bj146G6tgZFi2AezrCdu+rckGUceQiwgzgcFVmuI7FJRHWAh4DlgCn+RfQqI59E/CjKhdFdczscexZBeOzrIbX/yHVSaEOp84+w/6XS+Cfh6rWvBHmsUuFPVnk4Dc7XQWcDJyoyqsu4mi4BoAIGwLviDBJCyt9EJa1gR9dB+GaKqtEGApMBIYDf4nw8LcAk0W4Sr25CI64G05tcyXCZ8kiCxG64DU7LQF2VuULxyGtpsrXIhwHPCfC+y7v6P16WB1gVlWw9bCSSZVlIgwA3hRhqir/iui4/xOpngx/niCyZKm7NelzNQVtuIEIa2nINd1yLa5kAuJ6OFbcNtDDQReBXkRMq9v6cZ4J+gFoazfHT/7Q2RA/m738c2jr6D6L0z51/VlkPyeGzoXp74COI0epcNuSsZV0n0WmP6BTZ/j8M7hpKfQ8CDhJlYmu41sTEQR4AFDgVNXo2si947trn04CEc4ALgT2UG+VthCPFZ/Pon4fm9cUBDXzgUq8lRRPUuX1KGMywSjZZqjsHWKXfAc391Ed9Z7j8PJSRf0hm28BZwB/jeK4InQCDobeBya73Ee4VLlHhB2B0SIcrqEOjIhP6ZU1NAVdJMKreDWdbsUbLBK7pQZMbjGuDRW2bIXwRraG2b9xGVUhVPkOGAhUirBrGMcQoYUIvUW4SoR3gKnAIbBoVhJqdzl2Ad4AgGvDPUyuOlfLHXZ2N6bKOKAncDDwvAgdHIdkClDCyaLTpnG5GyuGeh3cw/Du2DYMYp8ibCzCYBEeAhYBd+E9hZ4PdFDlePjHSY2Ly1XMtjHtGepVQz0eOFqEU8I7UrZCfxcuhtv6inC1CK3DO3ZhVPkU2A+YDEwRIUuFAhNHJdlnIUJbOG8qXN0lDu28QfDH2m8JDCj08d6fI7AL3spihwLbAhOAccBz/hc8y+81bp8u5dFQuYiwPfAycKQqb4ZzjKx9BSuAG4BewLlQVp3po3M1YqpuzByI1+92F1AZblOdKVbJJQsRyoF/wHtT4cbd4M5udWabzoanI1omM1gitAJeAZ5VZWQT/v2GQH+85HAI8BVechgHvKHRzkJOPRGOwLso7q7K/IiP3R9m3Q23dICRbeJ0vvvVER4CVgGDoWzdOCU0k1FSycJbe4JHgGuA26Csa5rujEXYFOZMgd/+F2hR98vmj57agczTw07A62SeHua4i7w0iHAxzBgEv5wK7TeJ8mKYu9Ce+ydpf02OK2BOBVyzEm7uHKeEZnyux+5GtYFW+GPf+7mOJbzX2K4cTp9ff5z7LxfClNGgn4LOBr0F9GDQ9VzHW2qb9/n8aombdbTjsTRqnhjHx7Ukv22xXla1+erPn1i0EG79CXbeFeijjkooR6NHZeauDLyff+kIv9oK/rY/MFM12vkYpq4elXBtWzdL0ca7grGvRRoGnaRV6pJF7vkTV/RSfSbFiQJyj7f/tkZLvNBfPLicD1E9Ai48CG7YuH4TT5xGryUioZWsFA6dzTV/4suLXUYVjWSsW1663H0+Xpv/OW/CWf+GY16G/g/Fry+gegT8er4Nx46nFCaL+MxmjV628fb2ZYsPN5+PSFm5VxLkkf6w+HN48TTVSUPilShqE9pJt8LFc+Kb0EpX6pqhSvlR1so0x1vm85l3Lex1LLz0SNifT5Zm2QFQ0SOaBYma44CfwQH3ahOGf5topW7orMj5vUAmwlUtbPidiSN/GPOPQBvVcNcCiVORwaYQ4SlglCpjXMdi6kvVk4X3JbzpSnjzFujfwe6uS1f9EXHxmtyliorwNbAhXjmVECWuWXYbsMEYcZSKZJG5MOzQEzZoD2PPVZ2R8pFPJpfsI+KiWgu6yb4CNiL0ZJGcZll/dcotIM3D25Mr8R3cmQvD+MFw9zZwxUbQ63nvz01pyjYi7q7u3p/HxlcQTOHHNUvGoAfv+3rwE3CZwp732Pc3flLwZJHrwhDFRCcTT4loeql9sghV/UEPPfeG77+GpwfE6Akr25Pg4Bg+CZa8FCSLRFwYTKQS0fQSSbKAzIJEIuwF3Kp6z9wojtt0dsOXBIlvhkr6RLTaMfAiAyd4P+3xu3iJaHr5moiSRR2TgE4idIv4uHnYDV8SpODJonoEVOzRoDMzbheGrArtiI3zCJ84yTS9LL8PyneCic/F8L2K7Mmilio/ifA0cDTeOhcxkYgnQeO6kmEQm1fNs3cVDHwZLl0K9x/tOqamxd27KnuVzeNeBt0VtDNoy8xrHDLLRcXSpG6gx4GOcR1HjtjOBb3NwXEPBn3D9euvH9Ozw+C8H+zcjveWgieL+ovEi3AGcDYw1mVMTbPpZtkfvzffAbgH6AxsJMJiOHsdb6SXtesWoB1Q4zqIHCIaDdXIBGC0CB1V+czB8esRoQwOuxS+HAz9j7K5UfGVimTRwAPApSL0UWWi62ByEWF96Prz7I/fk55XXZ38WgKbwMKnoE2DZgtr182jHbDEdRA5RN4MBaDKjyI8BwwA7o76+FlUAs+rnvIEnPKE62BMbino4K5PvfIJVwN/cB1LLiJsArwCg1/I1xGrykpV5sOsj5Lcke9IGfF+sog8WfieBI5xdOzVROgJHA9c5DoWk1/qkoXvAaCbP1QwVvyRKG8AT8HOp8LT/bzqmvmqbCZihE/cxPnJwsVoqFrPA739ddid8JdSvQu4SJUvXcVhmi6NzVCoskKESuBK4ADH4awmwo54a16PVOV2708z/S1rkhnhs94z0Ko1TPm3tevmVQbMdR1EDs6eLFRZKsLLwGFAVVD7LXC03jBgKfBgUMc34UplsvCNAi4TYW9VXnMRQP0vz6oVcMMu0O1XqjzanP15CYN/A/9R5a/BRptKce7g/gZYX4S1VFnl4Phj8ZqiAkkWhQwDF6EzcAWwt6ot85sUqU0W/tPFVXh9F/tFffzsX57hC+Cxt4q8fnUAvggixhJQRkyboVRZKcJSvBi/cRDCM8DNIrRW5bvid7fmWdj1b5w26waDH1HdfVrxxzVRSWufRa0qYDMR9o3+0Nm+PDd3DqCYXQfg8yL3USri/GQBTju5y9rBb76D098MpnJArlnY2+8kMqxnptjnmP3gmq5w26FWrSBZUp0sVFkJ3tOFv+BMhEIrYRBpskh4OZLYPln4nHRyZ556/9AR7tvBu4gPeLG4zzZX2Z22ZbDxxMY3Tnd2i1kVYJNHqpOF72GgE5E3RYVWs6o9ESWL+uXfx+wXzEUlUvZkkVUYJdxzjda7b2/4cJLVfkq+1CcLd08X1SPgwsVBDnUVYV1gXSK7ACZiXYhGap+GYERX6HdNjJObo2QR/FOv14n9dD+o/BaGvFV/GPjC+TZHKPlS28HdwGiYdSVcPF5E14qmCF/NxzDzGzh5CtAyoBIG7YEvohtBkrxqoFkGFgyEip3CXBuhiAKPjpJFOIX7/NF6M4Ffq/J25m+SW+zTZJRIsijbDE5sAw8cEOEym/vCVj/CkwcFcXH3Lkj73gHbrS/yWlU0cyyW1SSvGmiup6GyF/yKq0v8bWme//6uKZ9bc5dw9X7vxL7Q6kCRKXtGO2cm1It3wxOG+gswWe2npCqRZNGjEm7aJOIifMOAO4JLFNGuJCbC5nD7LnDBF3Bj++TcEeZ6GvoJ4Eu8foyNgbb+f7dr8N+1/7+OP7S1NnnkSC4nHAh/yZKcPhkJDMoWYebzvKn28+wW5cpwmYv3Bi/BDz9A9bsBXrwbJYvaY2IFLxOtRJJFtM0p/qSjfsDpwewx2pXE/Phfgu43weix8EGC7ghzNbG8P1mV65q6F7+AY1vyJpV12mU/t/Y5XoRDgAXAfP+n/9+HHud6ZTi/yWgRXrmN1wPcddZkYZKvRJJFrgvIorCaU84EHlENqiM6umQnQnvgReBvqtzk96Un6I4wmCYWf2DEN+SZMCfy7i9gWXnjc+vF0fDHX+OVmd/U/9kZ2BY22y4mfUFbArMC3qcli5QqkWSR7QJy6XK4e8PgZrB6RGiFlywOCmqfUa0kJsJGwHhgjCrXBLnvqETfPp47OanyFV4ndnXd3xCZtL7XlOiuL8grkU8bCHxNC0sWKSXeSlXplxmxUnsB+fGP8J8RwPbAAFU+DeY4HIs3GmTvIPbn7TNrJ+rs3BVqm3MM1sdLFK8Bv7WaPU3X+Nxac3KK4vPMHzO74D09/iLg/V4HfK3KtUHu17hXIk8W2TvYRBgK/A54S4RjVHkrgEOdA9wRwH5Wy9wtl0+HGZNh3sdB3i2L0Bb4JzAZSxQFK7TzNiajg7YEZoawX3uySKmSSRbZ+BfF60SYBjwrwnBVHm7u/kTYDvg53uIyAaupAX4g4EqdIqwHPA18BJxriSIaMRgdFEZ/BXjJYtMQ9mscS/0M7qZQ5R94615cLcLVIs1+X84G7vVX6wvaVsCsgBPFOsAYvHbrMx2VyjZuhJks7MkihSxZ+FR5H9gd2BsYI9J/u0IK6PlNOYMhtHUmAm028DviHwG+B4aqehMRTMnYCksWpgAl3QzVkCpfiNCGuze6AAALRElEQVQP/vsgbD8Frl67gFm5Q4BXVJkXUnhbEVCy8Je0fBBYGzjaHyZqSos9WZiC2JNFA6r8AGevyCQKyFdAzy9QOIyAO7YbCORO0G9iuxevztTAkJrMTEx5RRb3eQQu7wB9rg2hyKIli5SyZJFVwZPg+gDrABNCDKroZig/qd0GdMcbLrw8iMBMMmSG7I47Aa5aC/4VRsl5SxYpZckiq4LXojgHrw5U4B3Edcpt7wL7n9/cL7afKG4AdgEOV230Ak3qRVJyfimWLFLJ+iyyyjYr94LPs5WMEKEjcAjeSKhAZZm8dSxU7NzMgnOVeAtA7R9cGRITpUJLoYvQGtgR2Mnb9joigjIj9mSRUpYssmg8aWr5UritD9y9dpZ/fjrwuOqaawg1TzAFBEUYARwF7KvK18HHacKWrxS6CB3wksLOrE4OdAWmAe9524w3YdmBIZcZsWSRUpYscmg4aUqEYcDDIuxZ2ynsVyatAI4IJ4riCwiKcCFwCt5kvi+CjM5EKdeNQ/s3/EEL67E6KfAcMBKYXncAg8hLz0BFljIjgZact2SRUpYsmu5OvOamPwCX+H92ODBPlffCOWRxBQT9BHcOsI9q4AXjTKRy3Th8+xXezcon+SZsRlNmpHxjOLWdyAcTolmR0kTFkkUTqaIinA68JzL6fbj1MOhzCCyYLvJMeThfiGx9J+ctbMqdoAinARfjJYqw5n6YCHhzf7bcMfuNw7T3Vfm4qfsKs8yI31T2AvxWoM1+Ea1IaaKiqrYVsMHjQ+H8FbBUQdX7OWQWtCsP53jtyqF3FRw9AY6dADPngK695t/Rk0Dng27t+v2yrZjPXncDHQ86A/55jneeRXPeNS/e3lWZ+LROnL2rXMdmW/GbPVkU7Mb+ML5lVKucZek7+SdwLt4w2EZEOAa4Eeinyoyg4zHhE2EbvNFre+I1e/5N9dAVIif+M97rWG/WJSaLOpkQWLIoWLRLtGZxATBRhCpVFtX9CxEOxetbOVi1/oI7Jl6yDYOFmpXA7/FGrv0Jr2bX6oW5YlCpNicRukH3X0SxSJdxwyblFazgCXuBUuUj4AG8O8/VvHZt/g4cqcqUKGIxzZMZBjt+MIzZz/s5ZArM+QBYDGytyvUa4AqOYRJhb2AiHHyDN7qq9vsRymgr40jJrJQXlJiscrYBzJkB5/0HWq0Lq1bADT2h21GqvB5FDKb5vBn547Msq3rUk6rjB7qKqzn8QR/XAENUGV/oqoEmOawZqkDxWOWsbAMYpDD6kEzCGr4AHpuHTc5OgFxNme02dBFNc/iVi6/HG7a7t//EG+umMlMcSxbN4P4L0aMSbuxQv5P95s4wNZROdhO04ubPuCZCGTAaWBfYQ5WvHIdkImB9FonkvJPdFKV6RFLb9kXYApgEfII3kMISRYmwJ4tESvadaanLNGW2fwO+/RKmfZCEtn0R9gIeA64Gble19dpLiXVwJ1AcOtlN8UQYC4xS5UnXseQjwql4fRRDVPmX43CMA/ZkkUDx6GQ3AVhJzL+Dfkf2SOBovI7s6Y5DMo7E+kQ1ubnvZDcBiHWyEKEd8DDQFq8j+0vHIRmHrIPbGHdimyxEKMfryF4AHGiJwliyMMadlUAL10E0JEIf4N/APUCFKisch2RiIJZ3NcaUiNg9WYgwFK8u1SmqPO86HhMfsTpRjSkxsUkWfkf2NcBAvDVQpjkOycRMLE5UY0pULJKFCG2Bh4D1gV65+ieyVcq1EXilw/mJakwJ+4mIv4ONL/j73gnX3AG8DRynddbsbvx7jeb22Cp4JcQ6uI1xJ9Ini+yl0Ze/Aq8/DZyZK1F4elRmEgVkFv3qUZn7d0ya2JOFMe5E3AyV7YJ/VUs4tQ/sNcgrfc+GkO3nvttZPbLSZsnCGAe8u/wTD4NWrUWmbB9N+3+uApTlO+GVGv8G+Br4AphR5/+/hncvh2UDrB5Z6bJkYQzRdt5mmoNuqm3/7xZN+3+uApQTn1NdczUAkUnnwXm94C8d69cji3+lXBMMKyRoSt6aCjNCzcd4N1Wt/J+5tjX9fYO/O2k43NO38UW7/0Oqk0Ir4VJsAUqR//wV7toNvvra6pGVHnuyMCZn5233OYDg9S3Ubisa/H/DbU1/7/9dx61dtP8XX4Cy545w73mqvBpmnCaeLFmYxCu+CSlXW/4HrwAHBL1ug8ibVbAsyxrc4bf/N7cApQjrATsAk4OOySSDJQsTK4Ve+IMZ/996vext+QsXhLPAT/UIqNijcXNQrNv/ewJTVfnOdSDGDUsWJjaaeuEXoTXQ0dsOHZm9CWl2k9YjF6Er/GFrOHce3Noliot3Qtcj2ROY6DoI444lCxMjufoONnpFhI+BTnhJohXwmbdttmVz2/9FWAu4H7pdD088CtMju3gncD2SPkCV6yCMO5YsTIzk6jv4bilwBasTBDW1zUMik4pp/x8GtAb+rFrzE8m6eEdGBMF7shjmOhbjjpX7MDFSOw+grmXAh++p8qoqH6nybf1+hOoRXpPRsjr/Pn8TkghbAb8HhqryU3CvIZW2Apap8qnrQIw7Ns/CxEZz5wFkOsV77Axt14d7+67539MCeB0Yrcqtwb6K9BHh//BWyxvkOhbjjiULEyuZC3/hfQcitAHmAT1UydkMJcLvgIOBfqqsCiLuNBPhHuC/qtzmOhbjjiULkyoi/BWYo8q1Of6+B/AysJsqc6OMLalEmAoMUeVd17EYdyxZmFQRoRcwCtim4RwJEVoBbwG3q3Kfi/iSRoSNgI+BDVVZ6Toe4451cJu0eRuvrEbfLH93GbAQuD/SiJKtN/C2JQpjycKkiv80cT9wWt0/F2FX4GzgjHBmZafWnsAk10EY96wZyqSOCJsAHwFdVFkiwrrAO0ClKqPdRpcMmYEGfQ+D/70LL5we8xnmJmSWLEwqiTAWeFaV+0S4HtgCON6eKvIrtpS5SSdLFiaVRJ46HSaNhEXzoMu2sKCv6v02mqcJRPas8tbnjna9DRNvVu7DpI53Z3zUJXBne2jT3r8zfiz8lejSIlfZFVtvu5RZB7dJoR6VcGeWgoQ9Kl1GlRy5yq7YetulzJKFSSG7My5OtnpbFy+N+XobJmTWDGVSqPbOOPqV6NKg8XobixfBfTvBrftjc1RKlnVwm9Sx0TzBE2E74FVgL1Wmu47HRM+ShUmlYgoSmuxEOBNvTYs9VFnuOh4TLUsWxpgm8RdBehyYr8pw1/GYaFmyMMY0mQgbAlOAc1V5xnU8JjqWLIwxBRGhDzAG2FWV+a7jMdGwobPGmIKoMhG4HRjlrzpoSoAlC2NMc1yDd/242HUgJhrWDGWMaRYRNsOr5nu0qpUxTzt7sjDGNIsqnwJnAg+JsIHreEy47MnCGFMUEW4FNgFOsBLw6WXJwhhTFG9xqZlT4KpvYdl3XrkVmwSZNlYbyhhTpLKOMLA13PnzOuVV9rCS8OlifRbGmCL1qITbNreS8OlmycIYUyQrCV8KLFkYY4pkiyWVAksWxpgiZVssqWK2LZaULjYayhhTNCsJn36WLIwxxuRlzVDGGGPysmRhjDEmL0sWxhhj8rJkYYwxJi9LFsYYY/KyZGGMMSYvSxbGGGPysmRhjDEmL0sWxhhj8rJkYYwxJi9LFsYYY/KyZGGMMSYvSxbGGGPysmRhjDEmL0sWxhhj8rJkYYwxJi9LFsYYY/KyZGGMMSYvSxbGGGPysmRhjDEmL0sWxhhj8rJkYYwxJi9LFsYYY/KyZGGMMSYvSxbGGGPysmRhjDEmL0sWxhhj8rJkYYwxJi9LFsYYY/KyZGGMMSYvSxbGGGPysmRhjDEmL0sWxhhj8rJkYYwxJi9LFsYYY/KyZGGMMSav/wdEJq1ItCLfkwAAAABJRU5ErkJggg==\n", 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\n", 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\n", 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\n", 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1533,14 +1579,14 @@ }, { "cell_type": "code", - "execution_count": 49, + "execution_count": 50, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1565,14 +1611,14 @@ }, { "cell_type": "code", - "execution_count": 50, + "execution_count": 51, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1593,14 +1639,14 @@ }, { "cell_type": "code", - "execution_count": 51, + "execution_count": 52, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1620,7 +1666,7 @@ }, { "cell_type": "code", - "execution_count": 52, + "execution_count": 53, "metadata": {}, "outputs": [], "source": [ @@ -1646,7 +1692,7 @@ }, { "cell_type": "code", - "execution_count": 53, + "execution_count": 54, "metadata": {}, "outputs": [], "source": [ @@ -1674,7 +1720,7 @@ }, { "cell_type": "code", - "execution_count": 54, + "execution_count": 55, "metadata": {}, "outputs": [], "source": [ @@ -1701,7 +1747,7 @@ }, { "cell_type": "code", - "execution_count": 55, + "execution_count": 56, "metadata": {}, "outputs": [], "source": [ @@ -1717,7 +1763,7 @@ }, { "cell_type": "code", - "execution_count": 56, + "execution_count": 57, "metadata": {}, "outputs": [ { @@ -1731,7 +1777,7 @@ "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1744,21 +1790,21 @@ }, { "cell_type": "code", - "execution_count": 57, + "execution_count": 58, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "improve_divide: 80 cities ⇒ tour length 14117 (in 0.109 sec)\n" + "improve_divide: 80 cities ⇒ tour length 14210 (in 0.110 sec)\n" ] }, { "data": { - "image/png": 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\n", 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Nvx/1K8KVJLTIt27Ahxrbkr/RkxhlIcKGuIvxHfd/7UNNERqT8jkcDDQk5XO4CpihGnpE1WqYsog52y+GY3cQmfw6zJ4V2M1748pojhbhEFUW+pYyRbQROTncV6sD25JSBqsUQ3PgS2Bi0P6Hm8k/3SnlcYNhWZq8TGHvR3HKNbX/+3aC2ZNEXmieJHNfSfE9tMljWHg06POZh5onzoBnTgO9A/RT0B9AnwXtA9oCVCKQ8TPQnXwfK2uZzk9mE0VgmuwPOgm0mW9Zc5E5mr5OmwNv/xP0kcDM+jPotODeuh70WNBdQdeKw35kNtt1eyVOxzqJzbsAuV8E+h/Qc2u/IC6YA3opaGvQ1T3IOBV0B9/Hylqm85Pd/h9cP9PiZKtOzTruPRXO+rxUD6/Mx+fMSaAngbYCbVD8fmSfPV1cHzUU3lyYNgf0QdCNirk+6nJLhBkqmL15CHCT+ybTUPPLz1QZEK10VVgN6l6CseSQ3UShygARfgLeEKG9xqCiX6X8UO2Bfqr3zCxNT5mOz4L5qjxU7NajmKCZyhqwyTj4dg5MnexMjQMXAdcCk0S4FPifanWTcTL8Q75IhLLA+SoUmOr+/X5RTGdWmoM71uRm/1flDhFXJjDwYUyKUsrM9FkMFXuLTB5dmmSI5TFj2SkM5gKnqTKh0k9/E2EQcB9wsghnVT235bH/JcP30Ca3oaWeBzow+Hs9+PwTOOu7uNkWQb8qhfkiNXzvXrLhe11o+dqkQY8DnQe6Z9JkD6+PM79N4vUG+iXoVhl+qxeEzS8EHQBa3+17y2Fw0sq4PVfi0rwLkOOJfwH0KHdS9Q3Qf0Vh/yxAzm9ANw93m+Z0C/947jMYzvwMzp2R7TiCdgOdD7qPX7mjsadXva86PA3TF4C2933e8t8P/R50/SzLNAUdCtO+hlPnuOM5U6GfQo+foPUwu88qHS/fAuRw0tcCXQzaBPQl0IepJQWxZ1nnhB1Jk/khcfJ40K6guxHTCWVxbqCb4SZjZg2EAO0IugCGHOtrhOf6VK3Zuo0u8XH6kxtdXbFfUka3oKuBrgStl9vyR75qju3sLdY+Cxfz3GGgy0q+/F04fQrscorWcEz5x8l6XiOY9rjI1zPDsydncrpVbAKcjsul01yEn3Fx7una1xpJ4rXkoMo3IlPnQN/hIrJ6bT4AVUaIDDkPxg+GkfUqpd1oI1IRUdoNP/Z0VcaIvHEfLH4VRq7pZ9/zpgJYqjlXs/tdzLGdA761VWZtn878csL0OL7RlNJUlGO4p4BuAtoGF/d+GehA0FGg00F/AZ0N+hYuvcW1oH8J3hq3zPUNLP1+J+NtM73svRfl7r/wG1bp0xzpe9/zl1ebg35Vrvvn7bj6FqAcTmApZQ3jIRE49LYMlMPJoNcE5rw3Az/LL4FSGRUomcsCpdMmUEI1JjQm3ZeS7znzZQaqecz3GQw934Z+y6FLi2j69b/v+cmrLUE/zu+4JvdajqrF2AyVpJjnTLLuc4gIV+PSm38MzFTNL8VIKm58ozdg8Q8w5ZN8TVzqhuNfBa0GQV6fLXEmrVWtW6W/1xFhJlVMW526Jrv6XL7Xl/+wysrzFER4FGiPS61RYhbM873vedIIcs/xFZ+KjvEmxsrC/82ZO5lknfM5sAZwGtASaCjCx1ClTVTl50xbTuWqWbMCvptSiotYXT2Hqfwxj6W6DFTgcv9UUiab7ZwcZZ6OfK+vif2gd5tqNTGWwdQrSi5qem4FHhPhLs3ZNp8/bkLsv9aCvkvhxnWrpkmPXxEgd78cdjVsvovI2MG53i/xqOgYc3wPbcphaJirrKAbgbYDvQD0IVyunZ9AJ+MKz18SRN40dX6I+B6DJJkJM5+zs3/I59hWDSvdbwhMeQ/0On/7oG+D9ihxHxeBToA/7RS3UPU052c/6Lk4jvdLOTTvAmQ5+c3jfoEWKyvomqC7g54Iegvoq7g8+vNdrqt4PpDjrMhyPO4CX3wFnV8o9PoCbQw6E/QYT/twJOhbJdx+J1w4+Ba+z1d2WRs2h/aL43q/lEOLsRkqWUPDQmVV5VdSJingj1xYzeD74dCgadU14mHqSdl5m74P87+CLz5LmJ13B9h2NXjhcNXCUtWrskCErsAoEaap8kHIMmbjGeBmEVqr8l6YGxZhR1ya8SNU+TrMbYdBcI+sD2wCNIbO18E2DZNtGo03sVYWdZXg4TVb5LNPYdlucfXbBDl4vgbO9PCgLJZOwPBCFcUqVPlYhN7AsOChPS8c8XLq+zcR7gD+Bhwb1nZFWB94Duirytj81i28pGkQaLExfygAGmf4exNgI9zNsMC1Zjs492BS/JzJI1E1uOsaSai/LMJE4FhVPvUtSz6I8CpwhyrPhbS9q4BDgYPUBQxEQhB88CXQUpVZIWxvdWA4MEmVv+W3brrr9ewvYYdT4bIVVH3Yp1MGDYCFOAUwnz8UQdq/F1Y+ziJtB8MDveAB4BpS/Z+2BF7cLS73S5IxZRFzUm9q8QzpE2Eq0EU1fSRVHAkesLOBJqosC2mbqwGPA0uAU4odseTZ923AClUuDmFbtwM7AZ1V+S2/ddsOhpFpquFdvwRu+ITaH/4LgO8LPW4pRXXZNu40rADeXQLvdlJd/FYh2zSqYmaomJMAv82awK++hciT9sDYsBQFgCq/B/W83wb6ALeHte0cuBN4X4RrVVla6EZEOBU4DGiTr6JwZJq78tl4VdoVKlcu2FyJ0mPKwiiYIB9WY5g2ONx8WCWnM/Bi2BtVZVng8B4nwmRVXgm7jwz9fiky8X24ebTIkqWF1LoQYV9gALC/au4T2qqSae7K+o1EWE1LnNMtAS9WycZ3OJa1ZLakhs7iMpLOBd22hH3s70KfdfvozsUp3xR6LkC3CEJkDwv/mjhpJnz2Aehw0I19n39rRZxf3wJ43fkEJ8Lz3ZI6KQ90T9DPI+jndNDPQBvF+VyANgD9EPTCcGSpOd8IdA3Qf4DOAt3f9zVgrbBWZ81QGSKN4px2OWYkKXdXFUpigqqOKgNF2A0YKkIXLWFKjkLPReCU/x9ujs+tYUhSiynoEhFeB54Q4S5ggMaw1ICRmdV8C+CPFv3TJ8Jr0d+nVMlhlX26MomIaY9EWQRcgAsAuLG03RR8LvoBmwG9VUsfvaXKcKAV0BEYIcImpe7TCI86rCyabprQN+OYMLEfXPht6iEV3+RyqxBhY1xY6JtR9KfKCuBooJsIJ5aup4n93LHP/VyI0B2X4LKbRlgYS5VvgIOA94EJIhwUVd9GcdRJM5QI68Lm29hsz8JxoYqfvAm9m8KynxMSqtgReFU1ulBfVRYFEVKviTBVlXHh91E9bHTbXaHXnaqDZlZeLjVnZ5vtoflusOmRqr0jm3GekpffgMsDs9QQEe4F+pfWVGcUS52blCfCVsCz8NFkuHUv+PfWKZ/F37+HwXvG/IEXG0SYAhyjyie+ZcmFoAbESFUe8ND34cC9QGtVZpe4r4OAgcBOwegmttkARGgGPAL8DvSCirULTRdilBjfHvYoG38Un9dzUynAV0VutHsCvpgWVlSIv32MJsILtAJ0Gejqvvc5R3lXB/0OtJlHGfrC5x/D/kMjOD8jQc9M/R/f6DVcJcdrYPp8OHV20sKx60rzLkBkO4qeFcS+t69lmc2DlNOn+Za3sH2Mbu5DoHjH+t7nPOTdH3SC//Pz1yURnZ+9cCVz13H/x780KnQfGVeFZq1MQ2erZr6cPxfu+h322BPYV5VpmdZTZZYIHYAxIixW5fHIhA6FTBFeJSl12grnpEwKUUZBZaBF/1S1OSjl+VHlfRHeBc4Bbk5I5cl6FnQSX8pOWaS3zV76E1y5t+rzGRXFKlT5QoTDgJEiLFHlpVLLHB6Rzn1ohfeHb150As70K0Lkc1OuwL34DAyi1w6FWzaKb2nURCi0OksZhs6me7seUB8W9c11C+octkcAD4uwfymkLA2Rzn1oBYwvwXZDR4QtgKYQboGg/Il2booqk3Hpxi9wTuJzxsGZ70D316DDI76d2zWZ2A/Om52kcOy6RBkqi3De3lR5BzgOeEqEPcOSrrSsNwCu+K3qzXbFSjjr2TB7CYrjNIbEpCXvBIxQ76GZE/vB3+ZF/DC8GmacJ9LuCXi0A3y7AEadojr2+HgpilWzv4+7C/rOiK9Cq7uUnRkqzKGsKiNFOBN4UYSDVPksLClLw0u94eOnocOKVJrmC0bCkXeIME5DKI4T0Ar40P/DN2c6AUN9C+HmQ0yZDqdPg+UropmbUgGcIPD8kYH5qSv0bhHftDYHbwgH/0eVAb4lMarh28MedoPz94a//RZmxAnoSaBfgxa8jdLvt7YNModukOa3i0E/AK0fUl+Xgt7se59zlHVt0MXpjosHWbYBXQi6VnR9xjdkNsMxega0h285rNVsZTWycEXcb7saxt0JHRqHVQRFlYdEWA/n9N5fI6yznAtB7eL/AH1U+S7NIjcBLYGBIhyvWnQeoFbAE0Vuo6SkIuJ2bAEbLof7KmBxumMTJacBgzTCsqsJTPi4A8kxb9YpykJZpB4Mu7aCRhvDsHNVp2aNfMoHVe4MFMYrIhyoBReIKQmX4W6wJ9P9qIqKcBrwFnAhcHOR/bUCLilyGyUjfUTcvFE+TS8irAGcDKWtGFeT5EQYBfW/t4LM4e2GR3wPbYptEU9EE9BbQN8BXdf3vgcytQhMG5vmsOwWuMI/hxbRX2PQ70HF975nljF+phfQbqBvRt9vMopUOTkPfQYu+9lqy8SzeReg6B2I+MEQKIz/gI4CXdvvvms90HGV0zrksM6qKm7bFdjnYaCjfJ/32mWM32xl0JdAT/DTd82CRL7PUU354q/Q6norAzNUtDZZVTSIkBqKK2xzlBZU3D4UzgF+wSWNywlV3hThKuBZEdqosjjPPvci9jO342V6EWFLoDXQ3Uf/8a9NHWnmAaNAymCeRfRFeNSFjB4PrA08GFQcKwiRiuYibQeL9BjtPiua57YeWwJXAmdonhXHVLkXeAMYVIDsCZiMl399hxJzKjBElZ899R9zEueEr5v4HtoU23wOYUHrg74JelchNvx8Za+aUfaC2TD2piJkXzOQ/do815sDuqXv857bsT3yVbhokU/TCy7b7Tegu/o+JnFtcfQxWUtznnwLEMpO/PEQ7fEaXLYUHuwWXd+6HugE0OvyXzf3myS9Yjmh2PkjmwTzR7rnuHyzwJkeW+d2NXmPAn3SswxdQMf5PhZxbvDC2XD+L+aziHcrA59FVZusCKcDZwHDoumbH0U4FHhDhB9V8wlL3XSz3Iff6ey6/94GphVs11VlvgjdcPWQv1Dl0yyrtALGq5a+XnNINASWeJbhDOB+zzLEFhEqoPNlsKgXdDgirLlRRviUhbKoxkPAZSLsq8rbUXSoysIgtfmbgcLI6nB2N8mWO+buiC2NXVeVD0Q4H3hGhNaqLKpl8QQ4t6tQAXk78ENDhE2B/YBjfcmQAPoDI1RPfBJOTDtPyIgHZeDgroq6+srXA9dE3O83wCHA1SIcU9uyImwCjIFeL9d0xJ73TXpHbOkc+ao8AjwNPBZMjMpEApzbVfA9sjgFeFy1xokzABFaAUcT4wmeRoqyUxYBDwFbR51eXJUvgMOAO0XolG4ZEbbGzaR+FvY4GZ5t77Jrdn8NTn0DLl0Ji7+tuWbJI3z6AitxqUHSyS0kT1lU4ElZiFAPFwVlJqg0BMfnXuCSLKNZIyaUoxkKVVaI0B+4Gjg44r4/EaEr8JwIR6ryxqrfRNgNV1/gBlXucd9WjYEX4SHcA/usqttdPFOkoj2s8zysUR8+fCdMu64qK0XoCbwnwkeqPFRtkS2AFarELk1ELTQEZnjquwOwSJUJnvqPnKoVKudm8zucDSwFHo5MQKMoylJZBAwCLhfhgMoP7ChQZZwIx8GMp0XOfw/WWBt+XwG37Alb/1WVx2pZ/TzgExEO02pV+pzCYBzOyXxfCeT+PlB0r4swRbVKsaCkjSrArxnqdPKYLJl00ufj6t0mXT4uEZrh5ggdkKBgiTpP2SqLYHRuzYmDAAATDklEQVRxHc53cVD0ElRMg2NWwNDDUjdPnznw+Lu1+VyD6Kq/4Kr07aY1s8huDCwoldSqTA6SDj4VOLznBj8lreY2eHJwi9AElzDwL1H37QPn59rnttpmYVcddWy2NfR6VLX1FH9SG/lStsoiYDBudPEnVcZE23WL/nB7k6o3zx3NYHLWUFdVRovwJHAP0LPaz40pobII+n82MJk9HRy7X3CRULeUst8S4GtkcTLwtOafSiUy8jEZidAQ2BJnilz1WfnvJtDq9/TReru0FDm7FXR9tOqo46xOIs/cYuGxyaGslYUqv60aXQQPvQiHvEWHul4KTBChpyqPVvq+MbAwDAmzcD3QEj56SOSc36DdgTD2e5H3pyToBo98ZBGkTzkN6BVlv/mQ3mR03oEiL/0DDluHmgphTeBr4KtKnyMq/T0bXvsvLOtVMwx83Qpo+DbctGa1OUJbFzNHyPCA71mBpW5BuoWpoO2i7bf4FAagrUAXVE4/jqv61iiafWi/c5Jn1oJ+Abp9xH0eDPpJnGe5Z742+3wVpODvE6RU3xN0o1z2pbbUNS7ST7Vm85cF2FoB141vASLZSfSEIA9SZDdwWDmrQK8CHRGkRl8b9Neo9iOpOXtS6V8u/xUOfjJK5Qb6KOi5vo9B7TKWJoV7plToSb2OrFVtZW2GqsRQmHY19B0poqvlENZXNKlQ1+n9i0xhcAPwNtAbeAFYoBqVOS152UDTmFh6QO+WpaySl7L/b74l7NAaPr+BWgPefFOaFO6ZU6FP7Ae921SLlPKZBdgoBN/aKorm3nhOn5dgc8qOMP07OPZNuGRJVFlUk/hGGH0xrMJGkFUzCEebFddHpua4F2CylsM59C1AJDuZwIdeVfkbNoczF0at7JJYwSzqKnmZr60Dhsb5uDoZzp0Bp0+2h7e1XFodMUMlz5xSlRb94ZaNoq4kFqIpLUKirpKX6do68GgROgJzKrXZ7rPTUb4rwwUTPOfh0m28GUWfRrKpI8oi0wNkfkJSV/hTdvEvyVmdqO3jma6tUUPh2vOAZkHbNPjcCTbbOSYvL9sC0yLu00godURZpHuAXLYc7ltfhPqq/ORbwtqJV03pOFN1NNRsU9i5LaxxdOlGQ5mVk7rZ998BEyuvITJ2vfRzEqI7nyKshxNgXlR9GslGVCOcp+aRVMTKKnPKr9fC+H7ALkBXdSnGY0mGvDvT4dmSRfiUCyIMA55SZXDp+qh+bdVuqkt/Pi/9CUbsrjo1kjd9EfYE/qvK7lH0ZySfOqMs0hGk3b4Yl7yvuyrvehYpI/k+kAxHUDnxIFWO8y1LZaqezwVz4f6msPPXwF9USx8aLcLRwDGq9Ch1X0Z5UKeVxSpE+DPwANBHlSG+5THCQ4TNgI+Bxqqs9C1PJkRoAIwC3lTl4gj6uwxYT9UKDxm5Ua7Fj/JCledwdS+uF+H6IL+PUQYE5sVvgL19y1Ib6qrpdQG6iHBhBF1uB3wRQT9GmWAPxQBVPgFaAwcAT4l02Fmk7WCRHqPdZ0VzvxIaRTAcV8Ew1qirGHco0EeEE0vcnUVCGXlhyqISqiwE2sPHv8IuH8LIXvDUQe6z6yhTGInlJUhf5jZuqDIL6AjclKk0b0iYsjDywpRFNVT5Bc5aAdevWXPSVIv+PmUzCuYdXE32pr4FyQVVJgNHAP8ToU2Y2xapaC5y4KNwRWPY90Z7ATJyxZRFWpI+49uojCorgJG4N/ZEoMo7uCJKz4iwUxjbTIXsDj8GrlsNXrERs5EzpizSsmoSXGX8TIJzb4LmOwmBRPgtKqPKcODvwAgRNi9+iy36p08zYiNmIzt1ZAZ3vqSblXvBgqhTKmeYjNemlOm2y5gRwG0irBGMNBKBKoNEaAy8LHLCcTD9olxKoaYn04h599Yi7AF8EufwYsMvpizSUDOB3vKlcPe+cN+a0Uqy542+E86VC6rME2EGsA/whm958kGVW0TGbwcbvAP3rl34i0OmtDGrAQwBmojwFvB60D5U5bfw9sRIMqYsMlA9gZ4IZwNDRGiryq9h9yfCBsAewJ6ptv+25jsJleG4qKhEKQtHn3XhlbWLe3HIlMfq2UNU/zVThE1woeMHAicBW4jwDinlMb4U176RDExZ5M6/cTbva4BLi9lQcFPuWa1tCHwETMCFel4Pr10Ky46zBIKhMRy4D+jrW5D8aVJ00EW2lPOqzAeeCBoibATsj1Me/wK2FeFdUsrjPVWWV+4jlcakUFOZEVcs3UceBLbjj2DohXBX52w3RJB7ajNqKoZ1cEqhcpumyu9V10/nszh/LjzW1m7A/BGhHjAfaBnnxJHVEaE9XPIYXLlBzReHDo+ojo3EJClCI2A/nPI4ENgZ+IA/lMf+s6H5C5bwsjwxZZEnIk+eBGP/A9etXv2GgMX1qKkYfsfdUJUVw1e5JourmnCunsKArWDbHc0cUBgiPAKMUWWgb1myIcJewABgCxh+Bwz9W5wexCI0BPblD+Vx1V5w8eo+FZpROkxZ5IlI28FuRnf1G+Ifv8K186k5YpgbZhZREV4ERqtyS1jbrEuIcDzQQ5VuvmXJhAg7Av1xzvhrcKnEV8Q987DIUWPgiQNr/tL9NdWn20UukBEq5rPIm0zhh5+/q8oBEQhwAfC2CIMDG7ORHy8D/xJhTZ+js3S2fVj8G3A10BW4CTixcmGu+FctnP2NFekqX2xSXt5kmrA36+soelflc+Ah3JunkSdB/q8pONu7F1K+qMq5x47/EGZ8CiwEtlfln/Gv4Fidox6GK1am7o9Sl7Q1osTMUHkSh6p1ztE4Yyr0eR/WXMeiTvJDhCuBClUu8tN/JlPmEU+rjkxsMSIRhsDYr+GizeJqKjMKx8xQeZIt/DAaKhrBsQqPdrKZ3QUxHHgY/CiLzKbMhuv7kCYMRNge6ABtt1Edu9i3PEb4mLIoAP+24xb94dbGNrO7YCYAG4qwlSpfRt99ppnUibbt9wXuVsUURZliPotEkunNdKttfUiTNIL5LCPwllhwYj9nuiwP274IzXFO+bs8i2KUEBtZJJJMb6Zb7SbC28BA4PHkOUgjZThuFHZP1B2nTJkbvwU/LoIpnybctn8xcL8q3/kWxCgd5uBOIJmd7O92hKktgNNxMfpDgYGqfORR3FgiwvrAV0Dj6ikrIpRhGDBIlad99B8GIjQDJgI7qrLAtzxG6bCRRQLJ4mSfhiuYszlwCvCcCPNxo42hqizxKHpsUOV7ET7GzT5+2ZMYv5H8e/Ai4CFTFOWPjSzKnCAf0iG40cZBwFM4xfFemDPLk4gIlwGbqNLHU/9DgedVGeKj/2IRYWPgc2BXVWb7lscoLebgLnNUWanKS6p0B3bCjTyGAB+L8NfAHFNX8V09L+kji/NxvjFTFHUAUxZ1CFXmqXIjsB3wN9ws5i9FeFiE/YMsuXWJj4F1RdjOU/+/AfU89V0UwUtGb+AfvmUxosGURR1Eld9VeVWVnsC2uDoa9wOTRbgwMC+UPYEZzufoIskji7/iTGge5qkYPjBlUcdR5VtVbsXVJjgd2A34QoTHRGgvUvbXyKrqeT5IpLIIUpOfh0ufbtQRyv1BYOSIKqrKW6qcBDTHlR69Bac4LhWhqVcBS8coYF8R6nvoO1HKQqSiuctrdfaH0GcZVPziWyYjOhJzoRrRocoPuDTe9wB74UYck0UYg4ukelmVlR5FDA1VFoswHhcp9mLE3a8k4nuw0LKn6ef2fDfK8pHVHWxkYWQkGG28p8rpwBY4k83VOKf41SJs4VXA8PBliop0ZJE+NXrXUe77bLTon1IUkMpH1sJS5dcRTFkYOaHKElUGqtIaOBzYCPhQhOEidBNhDc8iFsNwoJOHaLCIzVDFPPAz5SNr0ixcGY24YmYoI29U+Rj4qwgXA0fiqvfdI8J/gQdUme5VwPyZjHtx2hFXGKnkuLf5np1hzQYiE3YpNjeUCGsDm1RqjWv+f2Drwh/4ZZkp18gDUxZGwQSJCh8GHhZhZ+A0YFyQRmMg8IwqsXeCqqIiH74Jdw0W+fHHUheTSpmDbltl/9+qej2SYJTTkIwP/hr/rw0sAOZX+pwPzATec39/0geWdSnsgT+xH/RuUzMfWTIz5Rr5Y+k+jFARYS2gG84pviswCJfM8DOvgtWCe3gf8w7c3iSK6oeZK+VdMRtunUNKGawk9dCvrADS/f9jtvQt6Z3UZ38Jw9rl7uRudy/s2BbeeC7hmXKNPDFlYZQMEbYFTgVOxqUZGQg8ocrPPuWqTuaHd4dHVMeGXkxKpMdo52CuzqmfwgNnECgD1RrF3kPoe1U0VJNm0HRT+Mvrqq3OyH196gPfAhv4ytZr+MHMUEbJUGUacGlQ87oLbrRxm6vVzEBVPgmjn0LDQVNE7bzNZP+f8okq40rTp6Nylcdg7sxEEa5TZVZu6/OTCJ8DuwPvlkxQI3ZYNJRRclRZocowVToBewLfAS+K8K4Ip4mw7qplV038Eukx2n3WHtZZXDjoKuqvQ42X+FI6b+NRKU+VucB9wFV5rvoe0Dp8iYxYo0EwvTVrUTbQeqCdQZ8B/R70frj/z3D8NFiqoOo+j58GDZtXW7c+6NagbeGY11PLa6X19hmcoxxbwvRF8Jevs/Ub7v43bA77DIZuo91n6frKsv+NQBeC7pjHOqeCDvJ9DVmLtpkZyvCCuhngL+JGGM2Ak+HLR+DedWvOA9hgjAhfA02CtgYwz7XNti3UhBTkvXoQtv4nPPkYfJaumFRJqGwO8okqP4hwE9AfFwadC+/hSqkadQhTFoZ3VJkD3CDyeQdo8KeqvzYAfloKXMEfCoLFqi7yR2TsYFiWxjmdkwnpbKA+cLPq4pXE4OHtibuBqSLspcr7OSw/GWgmwvqqfF9i2YyYYD4LI0bMnZ3edzDpI1VeV+Vz1eohooXZ/4MaFlcBJ2mZ5LkqFHXzZa4lxyyywfGaALQqpVxGvLDQWSM2pJ8HkH2+QyoaqsUesO568J/9al+eesCbuJrkd4W7F8kkSNcyCThblVE5LH8T8IMq15dcOCMWmLIwYkXVeQD5+Q5EaADMAloEpq1My10MdATaq/J7GHKXAyIcjfNF7FV19JZ22SOBE1TpGolwhndMWRhlhQj3AzPUlY9N93sL4DXcA3FmlLLFncDh/z4wQJUnsyy7Bc7R3TSbYjHKA/NZGOXGA8Ap6TLIBqaWh4G+pihqEoyyLgX6i2QNflk1iW/z0kplxAVTFka58R6wAtgvzW+XA3OBByOVKFmMBOYAJ9W2UDCasMl5dQhTFkZZETzEHgROqfy9CP8HnAWcbmaTzATH5jLgahHWybK4KYs6hCkLoxwZDHQToSH8UevhYeD82hzfhkOVcTBpEpzyVpa0K6Ys6hDm4DbKEhGGAS+o8oAI/wS2Ao62UUV2nGI48g24a/PaQphF2AD4CmhU1+eq1AVMWRhlicgzp8LYATB/Fmy+E8zZT/XBCb7lSgL5pGwXYSrQXZWJkQppRI6l+zDKDvdmfMSl8O+NocHGwZvx45Ur0Rm1kVfK9lWmKFMWZY75LIwypEV/+Pc2NRMStujvU6rksKreRmUy5tsyv0UdwZSFUYZEXcyo3EiXb6vv0gz5tkxZ1BHMDGWUIZkq0ZWqmFF5obp4pkhFe5gepF35dj480BLuakfNOSofATuKsI7GrFyuES7m4DbKjkITEhqZEWFn4HXgAFWmVPttPHCeKmO9CGdEgikLoywpJiGhkR4RzsDVAGmjyvJK398DTFXldm/CGSXHlIVhGDkR5Nt6HJijSp9K358MHKLKcb5kM0qPObgNw8iJYELjGUBXEQ6v9JM5uesANrIwDCMvRNgXeAr4P1VmB8Wkvge2UmWRX+mMUmEjC8Mw8kKVt3F1uweJUC9I9TEe2MuvZEYpMWVhGEYhDMA9P/oG/5spqswxM5RhGAUhwma4EUV3oAlwiipd/EpllAobWRiGURCqfINzeA8BpgKt01UoNMoDG1kYhlEUItyFG1nsC7S1krXliSkLwzCKwhWX+mICDN4e5nwGkz6ySZDlh+WGMgyjSCqaQI8GcHc9aLALLNsFerexlPDlhfksDMMokhb94e4tLCV8eWPKwjCMIrGU8HUBUxaGYRRJXsWSjIRiysIwjCJJVyyp9/QMxZKMhGLRUIZhFI2lhC9/TFkYhmEYWTEzlGEYhpEVUxaGYRhGVkxZGIZhGFkxZWEYhmFkxZSFYRiGkRVTFoZhGEZWTFkYhmEYWTFlYRiGYWTFlIVhGIaRFVMWhmEYRlZMWRiGYRhZMWVhGIZhZMWUhWEYhpEVUxaGYRhGVkxZGIZhGFkxZWEYhmFkxZSFYRiGkRVTFoZhGEZWTFkYhmEYWTFlYRiGYWTFlIVhGIaRFVMWhmEYRlZMWRiGYRhZMWVhGIZhZMWUhWEYhpEVUxaGYRhGVkxZGIZhGFkxZWEYhmFkxZSFYRiGkRVTFoZhGEZWTFkYhmEYWTFlYRiGYWTFlIVhGIaRFVMWhmEYRlZMWRiGYRhZMWVhGIZhZOX/ASmD35unVKHhAAAAAElFTkSuQmCC\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1778,9 +1824,8 @@ "# Shoulders of Giants: Minimum Spanning Tree Algorithm\n", "\n", "\n", - "| |\n", - "|----|\n", "| ![Joseph Kruskal (Wikipedia)](http://people.inf.elte.hu/hytruongson/Kruskal/J.Kruskal.jpg) |\n", + "|----|\n", "| [Joseph Kruskal (Wikipedia)](https://en.wikipedia.org/wiki/Joseph_Kruskal) |\n", "\n", "\n", @@ -1827,7 +1872,7 @@ }, { "cell_type": "code", - "execution_count": 58, + "execution_count": 59, "metadata": {}, "outputs": [], "source": [ @@ -1853,7 +1898,7 @@ }, { "cell_type": "code", - "execution_count": 59, + "execution_count": 60, "metadata": {}, "outputs": [ { @@ -1867,7 +1912,7 @@ "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1907,7 +1952,7 @@ }, { "cell_type": "code", - "execution_count": 60, + "execution_count": 61, "metadata": {}, "outputs": [], "source": [ @@ -1935,7 +1980,7 @@ }, { "cell_type": "code", - "execution_count": 61, + "execution_count": 62, "metadata": {}, "outputs": [ { @@ -1949,7 +1994,7 @@ "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1962,21 +2007,21 @@ }, { "cell_type": "code", - "execution_count": 62, + "execution_count": 63, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "mst: 1089 cities ⇒ tour length 58059 (in 0.874 sec)\n" + "mst: 1089 cities ⇒ tour length 58059 (in 0.842 sec)\n" ] }, { "data": { "image/png": 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nXPx1Fr4jDXeHpgfBKY+oHjMnzKHTMfnsxvuhF/zbxmeIMAEYo8rryZcWqa+uEPLvb7+MpU+4NDjw9BrgLmC+CP3Vm1QSt2Da/AZbdkKossV+f3oADyZ2dqTvy9GniXCcKjMS1cfhcDgcjoQI2gqNJdHcwkAPAB0C+pV1n3sa9GTQqqnXG99KIOhhoM+ArgcdDdo61gplpgpoHXsdu6Z6bzzSZ1/QBaB/2Bn3jFwds+5si1IsY2/Qn0HPDvp6PG6b20DvCF6PwlXFvovhhnXQ6UD/6o3vHQE9AnR+QPfpQdDrvb/WgQr5nvUNGDfUH0DHxttPxShvd9Bfku1bMC7qXyV+XqTvy7/uspNA9w3iWXDixIkTJ+VDRFX9sziTpGgmPXL4fxFyMZv0uwIHAe9iVgjf1SQS9UYIVZ4HkzpAwS/AWZhALw0xwVSe1gwJ9JIKIjwLn/8G1+0OdZvAb/Wh4lrYVgfq/gK/LbXRWZfDKW/CuM6lZ/47jlH9PKUVHBFOB54EVgE7AyepMi+VMtOFXV1agcnjtziJ83cHPgHuVOUpr/ULEhs84y5V3g9Oh8jvcroDcYi0GQ1TesbzjtgImauBffzuS2y+vn1VU0sTE7LquRvkNIYqO8H6+fDjcq+8BGx00dswq8RXA6+qJh8cSoRTMMG6DlNldYLnVgR+BDqosjD+83JyjZvz442LP5Mdb4TefYDOwDbMt+VWVX5PRC+Hw+FwOGKRFUZgoohQD+iCMQjbYFx+JgBvqbIm/nJycqHHW1ClBnz9ObQfBSM6Y1ITfINx+XxHS7ihZjMiT50GC8bDiEpmcLIQE4TzMYoGKzcUwMBN8GxtuCNMGo0BP8PDJ6ryXeL1N2wCnSfBrnvD1jXQ70/Yq73aPGKZis0/tlgTjFwpwi7Ax5hE0velRbmAEKEqsAZooAGmHknEEPO+7m7TYHy70n/pOl31jfalj+ct4CVVxqVTrzD1ngr0U+VkD8qqBbwObAbOUWVTqmVGqKcl8CzwA0b3pBPAi3AfsD9wmirbEzz3AWCLKglFlBUZdx7MfgDyvis5uWkjpl4PnItpxzuARyCnfjrd7x0Oh8NRfqgQ+5DsQ5VfVXlSlU7AnpicTqcCS0WYKkJ/EeIMOV6xIuxQC1oeCxe+BVQF2qpygiqTypIBaHiue5EBCDCOIgMQ+/OeHLhiNkwfT6nx3SZg8xpgigjTROhqVzhiItLrUDhzHjzUDO6oCrc1NGm9cjy4rrRTmCoibkTIAd4DJpY1A9ByJLAwSAPQ0HC34BLCF+6TCyVqHsLCfYF+swyTDiIlRGgEfIqZPTojXQYggCpfAIcB84BvRTjfrsonw00Yj4OBSZw7GuiZeN3d94b7nlF9o73q5+eFGnOqzFelD9AUY+gOg7zF0GOWmdAY38787DLVTFY6HA6Hw5EYZdIIDEWV9aqMVqUb0ABj0bTGBBj4XITrRW49RqTNaJFu08zPnFyRsw+Gc2fD/fvDfbVhxO4wtBLkjE/G5S97KBmwYDvhB9A71DRuoX3ziga5hS5Nr3bB5BR7ErgGY3wPFmHXwhJMG4e2+eMnwx6fwF3Vixucjzc2M98Zz4fAYSLULvmH4tfafIJIywkiZ82A6xbDnAX4FKAkAI7BrHIGzM67JmiIecjtc2HIX6XfkYh5CKcDYVYO004+0CgFIwoRDgc+B54GrlJlm0e6RUSVP1W5GTgRk5DwXZGbjirZn8dRzt/AOcAgEVolqMY3wBaM10kitIXoAaBU+VGVgcCecNdaeKhe8f5xVNNM6h9L9+vOQHU4HI5MJQuig3qHmkidEzBJe6sA7WBOL9hwF0ypGOLueCpUrAZ9q8D9GEOoAnDzjvD7ZJGcg8uuC07JCH8VCB/x75eVkSL5hbTNK8ArIhyG2T+5WIQ34anx0OXB4nu0bukJFQluxSY11EQKnAGcBLxc+Pvi+9FWY3KE307IPqA2MKkRlMnn6RjMXqvAEKEjDNoZ+i8rvf8qvQnhRWgCx18Pc0+Fjr2j7WkOYS5QT4QGqbg3JooqG0XYBNQDfkn0fBE6Y6L4XqbKG17rFwtV5ojQAmbeCVs/Kt6f920lkhNz/6cq+SJchumzmquyLs66VcSsBhJnZGURKgMtgJlx1rFWZN3aTO4fI+y9javtHQ6HwxEAQUemCVoiR2k7cQtcq8Uj3V2rcEXMXIHJ61IYwbCrL0mrI+sQGuFvgUIf9SICKOjOoNfDTX+Eb/P2vyaTmzFTBPQS0LGRn6/hms3Xl2BbVMIkP985QB3q2Yir7QJICF8R9FPQa5I4dyLoOQG015egrZM4rz/oKtCWQd3rIl2Sy+9a4noeBp0Qb5Rn82ydMMGs+LZ9OZ5nC/RI0Ll+X1umt70TJ06cOPFPytVKYHgi5WuqWglupbjrza1Ab6B5axGaqLLUKy3inUVNd16+otW91Q/DgSfBzJ+h0c5w6maomQe/L0u2TjVBee4T+f5kqHFc8b/WACougb5/lI7imN4VGw95G7jHzvIDtIUjjil6hiK51mbGTL5XmGf0uMfhwIrw0cMi/gevEKEC8AIm4M50kxbQ25yDMbge+Av4TxLnFrqEjvVUo9jkY9y441qdsm18LyaS5VFe9ofJIMKOcEgLD96xQZgVvSuBR6LXWarfPgf6tohj9SumK2hp5g+Fvq0yt39MLLeuw+FwOILFGYERExyv2QarKxX/fQ1M7ITN/wCzRMgDxmBClP8OiRlpdhC1J7AvdB0BjzUtvd+jYKQIZ6my0S93G1tWFxGmYoIS1AFaqNLbmxq2/Rm+zTcug1k9o7iXZjp/A7WBn4HKwBLYsg427WGuNbJrre+apokwz2jPgFzCrgVqAsN9rBMAEZpj9sIeoQlGmrRMh9RSNSRJ3MFhRNgBeAnYFWijytp0KhZDl3oYg+0yqLIp1XdMlT9FOBuYKcLnqvwv8tHNRhQ961DUb+eNIPqkQ1tgfLw6Gb1iut8HhkmVsdNOZb1/czgcjjJF0EuRfko4d0sjV24s7fa5ICTRsYb8rUOBTVRf2SamH2MTrE+G9wZAr7zSrpOdm1n3n/NAbwcdB/ot6GbrrjYNBqwo7kZTKDf8YY/Lh4Er/HS3Ae0K+gnobqBrQaukWJ6AXg55v8NFK9OVZN6/50kFtBnojdb1b4O9LxtAGxQ9c4Xutfn2mcru647eJsG7hIG2AP0NtFEAz0Q10O9Ae6ZQRgXQ1aC7+ax7P9An4ziuLuhM2/dV9buNQ/TYG3SU7ZseA20aPmF90u7rZ8EPy+HYV8O56IPuB5cvC99vnzEtSrkC+ivonkG1ncf3YT/zPCycCefnl+X+zYkTJ07KkpSblcBIq2iw4lQzMD9xORzXyCzgXAk0wgTwuNv+3ARc/Ad8cXLIzOtkYLJxQ6ILvH8vjGxYelb43jnAfGCRlYn252K14fNFvhxtVk1KzqJ+PAnoAzSBDeOhxm7Fr6wGUP9kkwvN81nhN4FHMSuB3wPtMSkNEsauHIwCmkOTVjBuGyzIuBntWIhQDRPCv7MVxbiB3g58hMk1Ng4bXKP07P2yDaYZd9spm647foJ1CbNpN8Zi8sYt96POEtyJeddfjnVgJFTZLsJHGJfQ0V4pFgfLMLlVIyLCvph+72VgmGrySdqTxQSAYRBFgYf21X+TqRfg3WpZzmzoVQve6V70zbiircjnr0KbE4G6sG1DEqtfewF/qvJj4joFS3FPl19XwT3L4ahLgWGw3ygYvyf8eB+07gLTxpW9/s3hcDjKEEFboX5J5BWKsz8CnWJmetWu1gxXGGZ/tv8t3mASRWWUlK4RZ4WLzo09gx35GoaHPd6bdtNbQB8HvRb0qSTLaAw6x64c1Aj6WUhC/4agF2MCdmywq6M3gB5IieARdpb/J9D9gtY7mLY680O/VwKLr/BftQy+fimg5+R40BWgdTwo6wrQZ3zWf1/QJVH+frRdwbowgLYV63kxw3hF6JXp7ksi97f9F4MeC1oxfL99rcIFh0W5lgtAX/a7DVNvj3DXetVmuLltieurAvp3yb7RiRMnTpxklgSugC8Xie4c2W3n6lXGRbH1aJiicKrCEGtYLVDoURCvYZWqK1ysCIaRBxz5CdeVQNvtBroO9CDrYlcpwfNPtAPHAdkyKLDueEeADgf9n3U3GwvakziiXYKOBL3ef72DjS4LeiTkrYYLf/LLJSz8O9ErL4Brrw36I+iJHpV3IGiez9dQDfRP0Iph/naOff87+qxTFdDeoPNAv7F6JNQHJV93pEm94q6exfvto8fa/ngpaLUI1/Q06OV+tqM37RH/9w10E+iOQevsxIkTJ04iS+AKpPXi0F1B7wZdA5f/EP4DNnQr6B5Qsy2csy383sBEjDhv9qNEr6P1aOi+yRiq+VEHKB614+uY/UJfgbaL85wKoDeBrgQ9JuhnIQ59dwQ93Q7QVoEuBL3PzvhXTrCsk0E/9lf/9D97Ma65qb3Xp/mZjiET9iDa6x8D+qiH5Yk1unzdN2bv4R4l9BgMuhz0IB/1qAl6DWZVfSroCX5PIiX7bIE+b48fE05n0O9BD/HzWrxpj/iMYnuNK0KfIydOnDhxknmS9XsCw0XjhIKtwHXAhZiE5YfBiwIbSuwJvAn460/o9gI0y4WbK5ROCXE/8e5n8id6W8FqYDsM/ttcoi+R2EZiQt2PBbphohdGxO7LegGoDxypys9p0CllRMilaG/fUcAszP6+u1VZkkLR04CxIuysJi2GDyQdpTBlRKiL2St6qypv+puOIfiw9CL0AA4HDvOqTFVUhBmYfYEveFVuHCzDRAj9yaY6eRxzba1VSXuURxHq82+kT6YCp6vyVbrrDU/SKRlewiSC3wsYhvmQACDCrph+cX6alE4jkSJph/3mrAdqAT/5oZnD4cg+0p3yzBGbrDYCwwd7GdTZjmNeAA5WZYU5umTAgJ83wCGnw0M5UKOdOfcWioLCgCnzbxILL16QT5oGwCI0A14DZsKs1tD3LZ9yRk3DRMz5FbhchKs0Quh7EQ4A3sAYij1U+TMN+kQlUsdiwpjTiiLDrx7wDvAU0F3VWC+pospWEaYDJ+FbYI9gjCERamAM57GqPJHOuiJosD3IsPQi7IbJJXeyKps9Ln46PhqB5r05vyFsHSWyeC6MbAD7bwSOUWWjd3WEfTf3waT1OAsTdKaFJpF30MtBRQqTejOAnTBpPp4TYbHqvzkfjwJmqrItGZ2CJZxRfPM2uH+lCBVKfBPWYdLlOBwORyn8SnnmiEHQS5GpSGR3neNfT/7c4SX+3yHuPYHpu04V0ItAfwftU/R7P93u9GrQl0Hng7aJcEw3q+MFwbVVOLfIS1bBt29gwu7PwaTpaAlaIY3tdRHoq/5dt/9ukaCVQN8BfdZvVz1bfxe7B3FFEG6w1uX5A9Cb01T+fqD5/rRluPem/wZo1DS9dVz4E8x717q+Dgfd1dvyg0lRAHo/6AjQg22f2Cbk90P81sfbexj6zbm2FSY9zmQ479CiPclX/wQTLwlaXydOnGSe2H5kaSZs5SjvErgCKSmfUjTO874Mf+6QkIexRwHUbJvu64iup+4I+pI1vg4IUI/amHyII0EfKPG3SqD3YKL2HR5se0Uyhnp94eceFdD6mIA6KeVWjL++mrnQd7V/AVlUMPsnJ5PgnkmP6j8P9BfQI/ycDCmhw5Wgs0hToBLbxqtAG6f/WtI/iRC5jj5fEiXSZ7wBjzJlf6i9d81Bl/FvVNO83+CECTBoA5zxQdATix5fa2WY/QQM/Lt4/3Ppr2XpOp04cZK6FE3WDSnRVxeK93EtnESWrHYHjbxHoenBIhypyuzI51arFv7cacuga34m5HAT4SCM++dnGPcor93N4kaVdSKMh3kN4ZX2It83N+2/zwPw/H32sCNUWR2UjoZIbpFSEQpdg9OPKr+IsBg4Gvgw/TUW/Ax5f0OPyVAjB/Y+Euqdl8bn9xbgEKCdKn+nqY6wiNAfs6G3vSoL/NyDWORu2GQvaHwoVOukOuSf9NSW0wgu2ApbJ4vM+yq9/ZEf7sSfTp7lAAAgAElEQVSR6ijYqMqmcGeEdxnq11rk0SvgyuqYfXd7m5/tWge9PzSEb4DNQBvIWQDnCrxxur2GjtB3allxe1Llb5GrasCUSsX3JD9YF+alfU+yw+HIJgrjF9xPkFs5HJagrdBUJLL7z5Tr7CrBKCKE9IfFC4JyI4t9XSqYvHS/g/YKWp8ivUZ2Lj3bO/Bv+PLxdK2GJK5jpNWAwRtAv8PkO6zr030cCvofn+o6i5CIpKD3gj6eprouAV3iVzuWqHswaB5oE//r9s/d0G/XxmBXAiPXEfmcG9Zh8nbeD3oZ6PHQ8Y3wxx77it/Pin1WbzKeE5mzQpm+a40/cqgTJ07KrxTPyX2tZuIYvDxJ4AqkfAERXMGs++J/MTnqLiJk/xdoE/P7Bk2CcCOLfj1aExNafB7o/kHrU1y3zB/MRBs8gx4D+gLGrXW8cdMqTPjsfX490EMw+cLSvl8Ok8D+rJD/7wK6BrSRx/V0ti6Ke/l7X1Uw6V6+A20YzLPl3/Pv97vmX3qbxOpILC1BuPIv32BcMfUiwuQ/TPMzmwu6GrrNKOsGUjZ8G5w4cRK8QIsJRX1Fvpo4HEPU7BEMfgxe3iTL3UEhUjROVdYBV4jwLPAYcIkI/VX5GugCvKm6cmm4c4NChIMx7p8fAy01QPfP8AQfjj8WMSL65QMfi7AT0AO4BfKegfOqwn21k41QFSUi4VxMBN4DgO88v9h/6+dQTFj/iYW/U2W1CCOBm4GLPaqnJfAs0FlTS6GRaL0VMO/wEcCxGpjLsZ/Pv7/vmh/pbUwdt18Ed70LC2fFF70z/rQEka4B/rsLJsXN5SIMUOUTP0KTq5IvwkKoSNl3ewoXOfQW0hSt2uFwZCGm3+3UygxLbsdE4r8OuHQ5zG9fFtzjs46grVA/BBPF70KMi+hjoHNBTwler9AVqF6zIG8N6HnxHe//yiV0GF/WZnvh5LfCX9NFc+zqwamYSKK5oNXD35PIqxv2ebsxvdegzxAm4qBdDV/txaod6D52BdDX9wa0sl0Z/wg0J9hnpeyuBPp4PweCPhX/8TVzod/aVFco7UpyD9DlMO9t6JPvj1uvXgZz3/I7amkQ34riXjm9ZplZfj066GfOiRMnmSFFY8jCFcBhCkMVDp0QtG7lVQJXwNeLReuAvmYHVf2McRiMYRXeeDh/eeTId8GGPzeulHm/+hmB0p/riuRudkU+JvXB26BfmsGjbgX9A7MnbSboRLj8h2iDddBOoJ+l8b7sjIlCGja0Pugw0BdTrKOeveaL/L03Wg10EiYNxQ7BPyvh3sHeaXFhgQ4HwNV/l6V3zd7T6aCnJnbO97Oh21Qv3PZBq8PF3/pnzGsd0A3QuZl/6XyCT5UBerRt2+WgtYN+7pw4cRKsgFY10ZE1zHir7LjGZ5tkvTtoIqiyVoTJGLey82HRxXDmrvDoHv4nqyyMkBQaTe2/e0K9OSL8VPr4/nvAzbWKHz+qqXF9Sp9LqwgCDAAGQ5NeMGYx5D8MLU6DpbNg0jnZvYQfyd3sq09VuTD0SNsWNYG6VurBP3fFcNubAbwqwq6q/O6V1kXubM1bQYW18EINKAhX/n+AJSLsp8r3iddDTWAy8IIqz6Sodoy6Ql301vwGo/aA/X4CeqvyVzrrjofS7ob1G8JVn6i+kO99bVP6wtw3oeOWdLln+o0IdYDDSSBargg7wr77w+t11QP3eFU2i6xd45errf3mzIC3jlD1a+tBuG9L+r8VJViPcYGfBjwpQndV1Ke6k8IPF2GHoxzzEPy1ATbllG3X+OyiXBmBltOBocBYuONzGLlHMB/LSHt+ViwGLil9/M9PQY0WpY9P3348EWoAT2L2tLVSZZkNx99FZLnCU4dAx2dF2mTxBzPcXpa+eeH2sthBTIGVJQAic7vBpn0jdWqqbBXhQ+Bk4AUvNA4fNn992JDzqhSI8CAwHLMPMoF6qAy8DnyFceBPG+Gv6YYCeKOX6srADcBCQvcgi9AA+E6E4ar87FUdIhwDdIODD1L9fK1X5WYAJwHTEzTmjgLmeGEAFhFxn2GuSE5uGvqx0cClwPMelxuBSN+Wjj1FOBv4x8q2kH//4/Hv6wMHAp8CZwK/ifCET3XH/L0q20NbJ3z/49eEsMNRthGhD3A8LDsF+k6IZ7zl8IdyZQRao6YdcL4q20W2bA0u0EmkgcjSH1SZW/JokbwfYFOL0sev/S0d2onQFJiAyXfVRpUtRX/LyYXeBXBPDtRol80fzNQDYhz5CAw7B26rEKVTews4FY+MwCRm+v+LWQ08ONyzFQ676vk08BfQP/2z+OGu6Z4c+Po2Mih4UyiqrBLhaWAI0N+LMkWoDjyDafOyZAACnAa8meA57YDp3qoRKYjJM43hznTk73sbsxrWUBUfZrwjfVumjoFbL8B890tKxQR/H+ucnYDOwCLgeVh+PjxwLmwX+GsjXPIJHLk5hfqT1asSUEkEpZhxeHVVuKFKwKunDkeZQ4TmmKSAx6lO/K74eGufQ6HTENWX8gNWs/wStD+qnwJ6BugU0N1B74KhW4MKvpDovo3wx/ffAIvmwxVHermvEZM64VfQywmT3qCsBq1Isq1Gwewno+33Aa2LSUtR1Zs6E8/JBXoNaNybr0HvAJ0FWsOfdszOPGMUpeJo7FF5D4K+HPR1paGdqti9q/XiO75wr/agDdB1itf72Wz5S01o8uE2UIGmc2/gs6DX+NPWNXOhV17AewIF9C9z32vmwqW/Zcr+VqtbRbNHSWuA5kD3j7Ox/3HiJJPF7oleCto9wt8Hg44MWs/yLIEr4OvFogtt574W9GEYfkywwVbC5zhM5Hj4/D6vAkhgoqgOA10BelTk47JzwJ6G52kfTPTNneM4diboCd7Um0zSbd0B9GfQw+PQtT/oYiIEm0lPW2bvxALobaDPelBOG0wE1l2CvqY0tFEH0JnxHetPYBM/+zHQ40G/9q+9Bx8FQzYFmQMX9DfQepn+bhdNCGSujk6cZJvYiZZ3QR+IckwT209UClrf8iqBK5D2C0QrgZ4F+oXt3B8E3ano74kZYpkmXn1gQWuBvgX6KWgDP+rMdgEdB3pTnMfeBPqoN/V2OAAGJmz4g14B+k6MY84AXQnaxN+2DD6iYQrPQS3Q30H3SaGMHUC/Bz0z6OtJUxs9Ev+74k//4m/KD61oJ2EO8Km9W4LODvieLwLdN5MnDYv6nQUK12o29j9OnGSi2MnRGbEMPEz0dU8myJ0kLmVmT2DpyF4N7oHxJwJXAj8Cs4EqqlwTel6kZPPZQ+pJpUVohtn/9y7QTWNGYgy3p+bmbTD8q4RUz2JEOAJoC1wQ5ylvAm+LcJVqqvvrpvSAee9Ax40J7mN8ChgkQmtVZpb8owhHYQIBdVJlaWo6JkbR3syf7oajz4Tpr8LcIdmwx1SV9SI8hAm+c26SxQwH5qryuld6ZQp2f+lpmD1icZB6nxYfdy2GIX/CHVXTHaRAlW0ijAV6YvaQppsGwCof6onGeqB2lEA8GRARMHQv8pWYrUt/A9OWwfys2+PucGQCIpyKGRsdoco/0Y/+9AN45XGRVT+6qLwBELQV6oWEX0W4Zht8OwH0CHOMPkyYhNrZLsm5BobmRuzxSawk9dHL6PM13LgeHu6Ecbd9Dp/2kQXb7joVtG8CxwvoMtCDUqy3EWYP2h5Jnn8p6JQwv98fsw+0Uwa07VLQfYPWI0GddwT9JZn7a1dtfgGtG/R1eN8uNXPhlLdh8JZ4PS0i92ltPdsrCXqEcUMafox/+fv0UNsHlNpnnYa6+oE+Gey91/dAT8rkVf5MXqV04iQbBXQv6+LZKvaxNXOhz7JM7BvKiwSugCcXEcMQsgPw5aAHBq2r99ce7gN78arEAsxc8GOyL51t24Wgx9iB8POgC0CbBd026Wtz7YjZM1c5wfPidomLUsZY0OEpnF/ZGlnHhPyuIWg+aJ+g29bqM4EIG8kzWTDBd95I8JyqoN+B9ghaf+/bI7nBf/jzrvgDFs4EreXBfdoJNA/0LJ+fD7H3OuJ+aw/ruhX01mDvv44FPafonrYeDWfOgJv/gj7Ng9StSEe3tcGJE68EE2hpLmi/+I5371/QUsGjBcWAiek+dCgm1P0CX9XyAbNsPqkDdBwDXadDrylwo0JBhPDy4ULxP7qH+X0y9aPASExI+42qnA/cA0wX4WLrClZmEKECcDcwVJW/Ezy9MFVEsnW3wbig3pdsGVbn24DbRRARcjDJ4J9U9SqFRcp8CxwctBJJMBJoKcLhCZwzDFgMvJoelYIkUiqTw++NdlbpPq3jGBh/COw3G/hYhN2S1Sgk9cl7qryWbDnJYPvK0fiz/SCD3EHNPVX9/DzV146D216H51sHq1oh84dCv6XGPRVc3jKHIzls3/okMAcYFe04EfYR4Qpoc2JwadocUGbyBEbac1CntghVMAniJ9qPcJmj5L5Gm7vsDswmhxI03D0NL92LwK0i1FflF1VeEOFLzMC2vcipd8KaG4v2a2afz3fRntMDD4U6DeCZ2bA60WI+AvYXoa4qCeV3tMbnw8CNqv+OWJJlNDAYk7z7GuBz4K4Uy/SSucS/1zJjUGWLyIxR8OabIssXxXrWrbF4MXBI2eybIk3Ote0qwnJMDtJvMEb/N8CywnYIt1dbhAHAIOAzEU5SZWESSvUHmgK9kjjXC14GvhJhgMbce50S9YFf0lh+PKzDGoElGA0MBR5PtuDSMQCS+6aYvciTH4RhN8GyRYnniXU4HJYrgQMweaWLfc9EqAMcD5xgpQIwBVZ+D5vaZuZ+4XJC0EuRXkh496E++fDdh9Y1Uf1wwckUweRmWQXassTvK8JV+elYfgd9ihJ7LkF3gDlj4Oq/stnn28s9LaCvgV6QxHm9MXn7Knj0jPS0938iaMWg27iEbk1Bfwxaj+Sek/jys2Hy5s0F7RW03ulrj0iuPm1G23vcDfR2TFTin0A3gH5s3aYvAj0ctFqYtusF+gs81zWR/Ki2vN9B9wq2XfQT0NPSXMfskv1/ANd5Peh9YX5fGbP/uGly5Xq7x9D2yRcF2VZOnGSzgLa173Rj+/8qoMdi8g1/CVoA+jboAEz8ATHHZe5+4fIigSvg2YWEzaGnAnqdHYC8iI95z4IWO8j/FrtvzbbF07Dg03QkEgY9DPTHkgZFIj7fxQPWZE66Di/91q0xl+i+sR0xuRtjbrROoMz77bV0C7p9w+hWwX406gStS7qeE8yerbfwIUhIcO2R2AcedGfQ9pi9lS9aI3kL6DzQl2xf3gF0F3itNwz8J4GyC/cBBr7XFPQy0FfTXMdPoI38u8+l+23QS0CfjqDfI6DDkqvP0/64hp18iJnr1YkTJ6UFtAEm/c3VoFdZY2+DnYi6A/Q40KqRz8/uNG3ZLmXEHRQipXoQYRvGLXE1MF+Em4DnVNnur4a+8zLQG7hahPuBB4EDYP8TYOIusGREgukFoqLK1yKsBE7BpEOwRHIJa3OiCLdgUnf8D3KqQ5epxdNO9G0lkpMBYbq9DFl//jzY82mRhTPg5xVxtv0NwAxVZiVeX2lEuAroDNNugvefFFlyeSa56aqyXYR5mH2BMwJWJwHie05EOBToBzRXLYtuoIaitB95cfU1qqwBplkBQIRqGBejQzB7u081P7+pBLdXLL3fMG8Epd1IBZMe5X1Vxnl8mcnwGnCvCDmqFHhduHUdr4cP7qDGLTN8vw0FkdxBAcYAL4lwe+LvgKcpRE4GZtlnz+FwhBDN7VqEXTBbSl60h18DfGD/3yfedyr707RlN2XGCIzC6cC9qrwjwkuYDasXiNBXlfkB65Y2VFER+gNfAM0wg6jjVNkIBRtJz0s3EjO4DTECI+3X/HkhUA3TcRwBV1aCm2rEM6jzH2/yXNkB02twQ2WocWw0Q7eo823UGPY6HP5sB1HjacSpA2cCg2BoD1j+PIyqAzXaZZbRDZh9YoeQVUbg2t9jPSciVAaeA25Q5WefFfSdVD/wqmwFvrYCFBp1Sz+DGiWCi0Q0BPoBe2MmxQJHlbUiTAe6As+noYqdgT9U+TMNZZfg4DvCB//JG4F5zmtFOPFLWFIZrp0sUqlqYpNQkfrjfQ4VoRfwqsa/37I7+BsgyOHIBsJP8AxoJzJ7IhzZEtOn5tjDDwC+L8uTmmWWoJci0ymgu9pl6Wohv6sI2tfuDbmHBHPaZarLYmQdh26BfMWHHGSgO9h2bVpcl+guYcb979yZxd17CiX4fE1e+a1HdmM6/vVQt8B0+cmDnmLrfQQuW5DJoZnNKuUVSzL5PSvRtrvAovnQf32MZ30oJn9amXUD9ae943MJtG7qv4PuHbTOJfQ6C3Rqmso+CPS7NJQroHuDngP6IOjHMPSf8P32kD9B/7T/v9t+czuB7me+EzVzoe+aZPo4uOf48K7Ar5+Pyd+6AvQGYqQTCXEF3SXo58GJk0yTyH3sJfMwKcHOB10S6z1zktkSuAJpvTj0AtDXIvytPugYTH60zuZ30Q28RAbnQRmL4XW8ZhtMvtKnNr8f9N7wbRHZ5zvT88WYa+i/GC77Ptn7GTkx8ZC/QdeCfgb6NFzwVSptgdn/1BoTXONBa3SElvci9F+S2Ub3hT9ly2Zx25fMB70z2rMO2swaJHsErXO2S5yTSzvZQcrZQesb5pnZwb7zDdNQ9gnxGJjRvlHW4NsTE7znLmtcrcPk2x0PeiNoBzhuXPi+qsN4TAAfBR2CCRw2BZNfdSsM2ZxMHwdaCfQLmH5zlPfsUMwe0rWgD2ODVYQp6yzQD4J+Fpw4yUSJPF45YxrowfZbdnDQejpJ8T4HrUBaLw6dBNozxjEdzIdp/rvQZ1nRh2mBQocC6PJ5UaCZSIZKj09AW2E2yFYIMuJRZB2HbAat7UOb72U7h1JR/aKfF67Nei/NpIE/6Mug53l/b1qPBq2LiaZ1GVz1UzwGGmgt0DagF4M+BPo+ZhZ8E+j/QF/AzIj3tWX0jkeX4Ns5c3UL80zsYQe2Q2McVwmzUf6SoHUuKxLD4BbQcaCPx1+O3xN2+izotWkotzdoDGMqXH978UqY9R/QdzCR/n7FBHm4BeNFUC++csy3DrQ26Low+lWAsz+Np48Lc+5N1piMGSUZdHeMt89qTATQlsXv9zW/Qq9ZmfSNcVK+JZM8zSJ/h497FTO5dm7Q7eXEg/sctAJpuzDj6lEQyfAp/rK1fRm6h7jH5Stcq8U/bBethP6/h/9wXfObHeD9CvonDP4jqEFs5NmbAStMuob0dzDWGEk49H3xQd1lC2DuxKCfoxLX9SZol+TPj29yIHLn22sW6H9AP8BE49pon7vnQQfZgVrj0AGSNRTngQ5KRpdg2rnr9GQGiAE8D41Bl8YzkMesnEwhRTfQTBokZLKA9gOdQ4zJqGAn7LQ96NdpKPcGwqRmKH5MpD7m0vmgXe3kRlzPaiRj3Bh7+k84gy2ZiR7QQzATjHsm2B41MaHpl8H3s+HiVZnY7zkp35Jp3+TI+nw3FfThoNvLiUf3OWgF0nZh6BmgU8L/LdzD3XOz3TunMFzDf6A6rI714QLdIcj9bZE/rv02lDZs09PBgHYBnZliGdUxId07B/0sheg0HbR9amVEXb2oDdoWPhxcem/ZgK3wzThM7q2TQXPDDa5K6FvV6vxIuAFdJoZmBq0IVy7N9JVA0H0wKVH6x3Hs/pjViJTa1+9BQrYanKDNiXMfYJCrzuZZX/ILnPSml22M8QqIOjERzdXL42tcT5iJ2CTSh1TBpDw6PwVdKkGPjzO9b3FSPiUTPWDMe9piAvTYCiesM4slC7/Eph5zkv1SlqODng5MDP+nZiNKRzR7Yge4G7gd2E74ENSyCPrWKxEOOw/mDy08SpUtIsvyYFOrVKNJJsf8odC3VWkdt2yAFw7zKfrmO8CjIjRXZU4yBaiyWYRLgOdF+FjTEEo9CWoCf6RSgAmbz1XAgZiIWteIcID9fw1gAbRfAFUeg/NbQaVq8OMymDdU9T/58dZjw8S/AKwBBqqWjtqVaaGZRagIPA/9VkI/hZFNIr1nQSJCM+B9YKgqz8U4tiLwLDBMlfzUam5xf/hIjDnvi/AGUABsCJGCEv8uUOWfeGqKFvo/Q6LHhkWEHEy0xytV+SH2GZ6mG0iQnD3gvKrw2qket3EDTOqdKHgT8TgO1mEihK4L/WWi6UOAYUA+pk9LClX+Efnrn+Dut8MRjSD7omjscxCMqgo1qsKmWnB5PryxG2Tud8ARP2XSCBShEtAZiDBojPSyLdwCm3aACoT/QG5cBrN6xv5wRTLE0j+IjfRxhY7P+tXBmI8tT2JCs1+aQjnTRHgfY53390q/FKgJbIz3YBF2psjYC/1ZHfgOWGB/TrY/VxQZa22tJM19QEPgBFW2pVKQH9h39gWgLuzfESbW8zqXpReIcBjmfg1UZWwcp1wNbMWkpkmmvvpAN6A7tG4T/h3eBmZyohawJ7BTiOSE/LumCFsIbyCWMB5P6x4l9H/GTByEEpIPcIoqr8R3lm/GUBiajYD7aqWhjRsAq6IfMn8oXHkMPLpHmr9RhbkCl5X8Q7yTUCK0BC4GDg03mZUYQd5vhyMamfhshlsweSwXFmfsd8CRGGXSCASOBpaq8lP4P0d62VZ8AB03wo6N4fuD4OmaJT+Q8Xy4igyxTU/CXkfCp+/4OYgNp6NIG787mKeBhSJcr8qGFMq5HpgvwiuqfOyRbsmyI2FWAm3S1HDGXjWKG3tv258/pz6YiYwI1wCdgLZq8qxlNNYAfBHYBThNlS12ljGjPjIitAImAX1VmRDH8fsAg4GWqmxPoJ4GGMPvLOBgzMr6AzDjZ9h0Tul3eO5sVe6Mo9wKmJPDGYih/24CuzbOzFnpqFwG7Au0iv+Um2fB0O4wonJRX3/TVqgRsz1TJ9JkZLPmIlSKd9U2DPWJkSjefKPevQ+GXAc/5qVxomU9kRPGx0SEHTCTQ1eqRr+m+AhugtbhiE4mPpuZujrp8IqyagRGcQWF0i/bQmDQdjisDcydYlb7ADomvRJh3f5GACNUM2EwG66DGfInDKovcuwrsEvdxBL2RkeVX0T4AJOg+dEUylkvwhXA0yIcYgwEfylK3N6xIXw/WqTfh3BcfYqMvSoUN/betD9XptPYC68rPYCBwFGqxV2wMhFrAL4E1AG6BHF/40GEYzFuhn1UeTeO4wvdQG9TJS+O4wsNv+7AQZgJgweADwoNeZFv50LfFskOEqwh+oeVFdH1+aIObOqZWbPSkRGhOcaX/6h4Jz5E2AtOGgbLToeO55q+/teV8FhFOPQJEU5SjX/lP3EiTUbm7Ax8L8KdwEuq/J1gwXGsBAKcVBdOel6VWxIsPxEK3UGT5U5gjqo3Cd2TcEN1OHyh6Nms8Co0PBA+mhj8s5mJq5MOTwl6U6LXggkNvhy0WfTjCoMedPwMev2ZjmALmISaHwfdJqWvuet0GLQGHr0XLt+QrkATmJQHC+KNMhejrHGgdyd5vXEHXbDPT13QdqCXw9cvwlWbi7fR5Rvgo1tBO4I29OL6PGrvdqC/kSW5e0ygBh2LyWO4Q9D6RNHzBNuucQcFwkQj/CRa8B777FwJ+jEmB9tLoKeCVo18jj/BfDItUl2Mts4B/QH0nATOqQb6NejlYf5WAZPX7hPQHdOnd9T0Csdgosnmg14W7ZkooXsN0K3x9EmYfH9pzaEI+jToxUmeexwmCvLOQT9jTpz4JaCXgv4StB5Gl+k3w4AS4+MrN2bid8BJkvc4aAU8vyATGW5JvAPzyBGZ2qQckSnTjMASuh2RbMLeBOoQ0O9Aj/OgrHp2IH5Y8d+HN/RiDWKtbvUwYdqvAB0J+hEmiuNaOwB8AvrMzrSIXRHa5yDbPu2C1iVOfSuBvgL6LgnmlEy/bqHP1FnTIW816FEJXFtT+xyVik4JuhvoVfb5Wgf6YizDL/h26P4JDN0Cj58StE5h2lPsczQqsfva73uY926k74S/hmDr0TB4s4lK3ahpCT3a2HfkJ9tPxUh5oU1Bl8XZdt8TY7LUg/tzP+j1SZxXE3QZGRQd2okTPwST9zdsahWf9WhtxhS3HVs08dj2Zfj+a9Abgm4nJx7d56AV8PyC0FtB74//+Eihsq9emepLmMlGoNEvvqTkKbbBFaDjPCqrNyb3V2Xz/2gz6ZGM+/6LMSsva6x8DDoKsyJzPGj90IGhX6HUU2yXPe0gsUfQusSpb2XMyu7kzDQASz5TF/4U78ynNR5mEBKiP4zh9wJo50w0/KJc1wWg/wOtFLQuJfS6DJM6IOpKcvj72ntptPvqlyEYch0K2ibC34/E5Cn9GXQgaPUIxx1FHOl5MOljtqbzGTRtftE3cEV+oqvWoE+APhP08xVdR2odCK8CtYLWxUnZEdvXKgGugNtx0E/hJmFAdwddBXp80G3lxIN7HbQCnl+QGRC0jf/4SMbCdb9iXFmSNgQz3wg89pV0r3KB7mQHvg08KEswiegHR793w/6BYWEMN1W4bBFm9a8ecblMZV7unhJtUhuz2npN0LrEqW9l0NdA38k0A9CL+w3aH3SmNcwHgH6KWVnOOsOvxHUJJufkwKB1CdHpUEw+wH3TdV+LDMGFX8Ixr6QrZyJoHavXgzGOa45x4/wFkzN0xxJ/PxP0jTjqOwh0YfruTfLuxKCdMG6wOUE/Y5F1rN6pBdW3LgVtQfWtUL1T0Do5KRuCmexW0P0Cqr8yxivq1ijHtLeG4B5Bt5eT1KQCZQgRmmA2xc+M/6zc++DmbWazKxQFW/imHSbS3BM2ql4Z5Osb4epfSl+7d9Go1EQGHYcJ8Z1qWYqJAHitCPtFjly14FP48OWi6yrk30iK01T51ZYXg/lDTZukr42SRYRqmGiV76vyYND6xEKEysBYTIqMrpqRkUuTj4YmwlHAY8DewDdAc+AuoIEqfVR5W5U/vdbYD0LevSEi5AasTmE+wHHAVaosin1GcsXHWcAAACAASURBVPdVle2wy53w331h8tkwvh1M6QldppqAUd6gylpM5zIwxnFzVOkGdASOAPJEuMm2B8QdFIYDMcGr0kS40PKjmprfR0aE2pg0HxdqZuSGLYVIjU5HUm3ye2yu2hh4j81Vj6TaZJEanYLWzVEmKEzpVDeg+u/G9EW3RjpAlWnAQ8DrIlT1SzGH95S16KBdgDc1Rl60omiPDRrCrvWg9dsmNUTxaGEinAy8C4wUoZ8mEOY9G7DRqFpDjY9h23ao3RAqd09DNKqRwFsi3KXJhz0HQJV8EW4FnoJfloePXPXzCmu8tUw13HLxaHL7NYM69WFS4AmzbfTJlzADvuuC1CUeQgzAahgDMEONocSioYmwO3AmJqpna/vr3sBUVf5Kp6Z+o8piER4CHhfhlHgmUYr3td5EH7b5AJ8Epmt8uRpJLcrdPrfDPTmlDZrFD4m02eThtfUFXhKhlirrox2oyjzgbBH2B4ZgjMFHgXrESA9h7kmPIVBlR5GvR6cnAmHSkymPABPsIDPjEJFaLag+8T3WSmHei9rA+6yVTlSfKCL1VTXqvXNkHunop1KgcPy6q98Vi3A2cAZwRBzj3fsw6Xj+g8kJ7chGgl6K9FIwe3GibiQP76bSZ1kkNxXMBvXPMPvGEnINzXR30BA9d7NuVYtBz01PHd9/Bd1neOFOBVrR3JPpN0cP/uJtJEXr2roRtErA90tAH7HueRnvXghaBfQNzJ6mjNY3Hjc2zJ6Iq22/sAb0OdAJoN+QYXvm0nQv5xNHVMl0RRglzn2Axc+593gY+E9y7omR9gV3S6q8KNdVDfIV+nyZaD8Jurd9DtW6aYXdT+RX1Ndk3G9Bu9pvUNj9jpkgB8KrS8M/DLoU9EB4NWgdnSQmmRYJGbS7faT6pn5d8UdHN4+v/g7aPAFdc0AXgZ4f9H10kuRzErQCnl0IugvohlgDgyQ/Tjmgn4M+TgLpALLFCLS6XmEGIFfkeb3vxXRGl/zi8YBpf9DVcEMbo+ug9dBtaro7bjvQbxnwvboedB5oxgcksEbDhGwwAIt0Lvx4DvkLOoy3Ifv3wATk+DzE8DvJXt+e9uOZ1kiLmSKYqHErQWtHP877/bSghxDnPsCQcyqBfgHThyYzKQQtJoS/jqEeX1vNXLhWU+knMRE/V9pn9G7QXdN9T8Lr0f3gRIxuTFqeVUQIjJMpAtRqQfWta0sYgGsp3BvogsRkm2Tavn/QblaPYcmXkZhhi5ngXgzaOwl9EzYenWSOBK6AZxeCng/6euzjkov2aA3BmaCPxWsIZpcR2KAJDNiannyJkTrZti+neM+HYiJMCuhw0Ht8eM7+S0jkR//vk/bE5MHcPehnJrx+obOPbV+G+e+DTiLg1dMk2zrf6l5o+D1baPiFHCOYPIdDg9bX57Z5DPTJ6Md4G1kX45WxGLRngufdCDqVJIJ8mef59HwYWMI4u0DNpJk312bqSn0wiomefDhoI8yk5VpMmob65u9dPvfynkTR4x6YMzYeo9u+QxNIMA9sUALVOx1BHS00BNeCHkmd7S44THZKpkUABz3d6vBo8mXE35dggl9NBH0sBZ3PhiU/wnHj0hU8y0l6pCztCTwdeD32YcntDVGlQIROwPvAIyJcpRpPYJFsIfc2uKNq6X0veSOA81IrO9L+kHY9RDgNWAOstT/XhPl/yb+tV7Pv815gNtATmILZT5JuPgV6AA/4UFcxROgAPAi0V2WF3/XHwuyr6DK1+D7MwZvgw+aq32XF/jgR9sTs8TsLaGTlJGCaht/jdz5mA/89fumYIdwEfCfCMap8XPKPItSABnskvw+vVHkCPAHMUGVMAuc1A64lvj0uYWg2AkY3gtVAL+AgoAKwE7BLiWOTu7Yikg9KFEJ9YJUqK4H+ItwJDAIWiHw9ETYf5NU9iYQIewAXw6EHqX4eT7k9McGUeqRWrz/7ulQ3vSfy4PMncFvvcWyo0IPqf85m6+mqm97zui5HejFBTXbeNd3vRIJ4sCcwob7kRsw3rHvy9eV8Ab1qwttnhcRgaCWSE3j8BEcMgrZCvRDQ6qAFxHBPMsfWzDX5oZJb8bLL5l9g9mRFXRHMrpXA9M2GRZuVsiusje3s9Qmg/2fvvMOmKJI//mmSKIIBOQXxfBExYkZEREEFMSOYUECQJCAgiIoKIqfcGe48vfPnqWc4zxPjKRjOhAqioJgFJIcXEHgJKrwCEtT6/VH9uuGd2Z2dndnZhe3nqefdd0J3dZjuruqqb10GcjXIKJC/gTxlT/umgSywitef7d/59reAvGv//t2+3xmknc23xJ4ieDblTdGnDdFA4L7zytRW35Z7NBoM/pSox4qffo6atzRt+3uQa9GT/rUgj6Ew9SNIAdlPzJf2qKjrEFG7dUTND3dKun4UyGz4+sVs5tqkPPuCTCcjP0CpjsY27OO/jvHz4ui408BSydZ0s3JZWYcnqQqyDQe/VJD60G8WzHLgu3N5kFp71FR6jMdnG9p57djsysytXxfII7BoZEMu/BlO3CuMMooUdJ8lr7uPXgDyjVqrdF+cOHYG/wTHHRQNn3IOyBYQvxYTDWHQYi9zid1zrQDZNzueC3PtL5IUthAY+6h7TodrV3oX5D66BwYu8AsYArI7yCcg96USBgpLCAzvIw56gbabnb1ADkL9k2bF8T0P5EGQ51ATsC9BlqKALlvR+FrfoEHix9sN/92oyVgfFJygNRpHq0HyBteWvxifMXy0LS4vTWyLy0vTBK0uAfkW5OKox0nquuWXWU2aMbQ/yDCQj63g9yhIe5Dqcc90APmfy/sG5DWQ0VHXJeJ2HF/RBrZNBlnBuKteq5ijr10N3ab5FAAz9gO0741E44r6UtiAVIHe090Fv1kCbcvh/CnBAE9lN0+qoCer3O9XfJ+lVqAdZf+2mxLgeDjCzrFpY/wRM6X27fsUyyu3m1CQCXa+mMsO4gtcyOT8bQ39GV4fqOMwHkSu5VMw438gT/iZO/woeZPG1pmof+yMDN/bGeQWkO9g2v0qyKYEONvffquts2/fwln7i5TUd1Ez4Jtxnwum/VBWgRyaXfmyO8inIPe6TRSFJQSGq0kNGqkzqZ13QU8JJ4A8kuK5mlawa2oFvU4gvUGGW0HwMdQ3ZbIVFFdawXGjFSS/VMGyVODWX2BgKVz5Obw9DA0EfiLIwaiAWtWZz7bvOG9Wmo9z4bkuetoyOOoxkr4fThqbz9pAF8HvjHjBL+n5Q0AWuNzrhiJUFpyvY8BtWnEyfgrIq6hy7ECH584E+cxH/rXtRjtTP8AjreDoK5gxaqHwsgaJjz8lCFbwq1yu/3kSDST/tfv98AUlkP95navQ091P3b6/zMrN7SbUrjcHgzwL0i2MMooUZH9lNvZBatn1PiP//yD2UagF00yQMo/PG5CLYcEyuGYJXDZVEYbfnKlrcuW5xO6FPgO5Nor2LVL+UOQM+Gbc56ADGQDycjA8yB72Q7rHSRAsJCFQ+Q1PUAufdzkVFv8CN28I0jHZTrC10dO4Y+G5rjB4U+IkP7AcvnnPboA3O29GKqiby/WO39mNp4n1xcnPKOrpVd9kZ2aWnWbSYztVhxlvwKAN+QK1bfkqAbkONSdeA/JIKsEv6d0atj9rJF2vTwAmbNsLoYoTQRUpjkIxenq/hMzgxw3I06RQ7CQ+XzHOL5wIw7+HCdf7rM9BILNRYJUahTIvgpwN8mbq9glT0Sengiz0ohgBOcB+j4cFUK6BPjOc9wMd3w6hnaui5no1UQsSV5PxIuUH+VESoG4CK0DO8l5OIOBOp6GK6G2kAbNC3UQmwbxZ0PPbxG+7xxKnb9vOq49ZBUbWLjKap9tJ6786Rd33RUrTd1Ez4JvxDD9qHaQnjYWbfoIObwa48O0B8jmKwGaS7hWUEFjIpP179fro4l/dtN4KDCtAPgQZC3I/yBg0pENfkB5w5nqXzUrc/07+Rv1/gCl3oSarF4K0QU2v9gWpmbpdwvWVUQFQXgB5DY46KOoNc5zg90mc4NfOi+DnkNd84qwG7AI6Ho8+T9sz2X6/Az0xF5C+aZ6/lQwQ6OxYnw4tDk6nxAhqnKP+OKvJwo8wwv7oCfJE6meCjp36m4JpItywFl4f5IHPKiDvEwDKsv0e79RNcLL/aZ+VsOBbOzdlVc+kMvcDWaG/X7gChpUVERHzm7I4NDjJzgdp3T9AjoJha533ped6HiOoldL7KO6BS7xPqYfGri4DuSoTKxy7F5kJsmuwbZw8t7zQXfm76/SwldBFyqLfombAN+MZQeCGrgHdE+QLVBNu4q4XhcA8HA/ZleOmfLj8YzyAVsDR4yrDzQ8VvS6NVVAcXOpcl6u+QU0YX7KLxEwrdG4hZrL6FQqS87wuEm4a8mDaBY3B9hwK3hNZHEAr+F0fJ/j906/gl5TvayAXxP1/mW33goh5GGJ7H4Cerr6OxnirML+sn+Kd/dBQG2mDgcfyu+v0VHM3elp7NHT9KEtQFQNyM+p7m9ex6lLUYQTIHbkrz7dLxhCQD3Awmc+wvgZVvn4JUtdJwEVdBUbZcTcmiI0vyMkgU7IFmStS7kj7qt9aP32FKlfm4QI8aNftsSAr1QzTaR4a6blcO74+BJkLdycJUE0OtN/PGtQVaQ99x9uhCEhzVKjNCeiNusoM3Vb8RvKXImfAN+PULoG+q7wMrhz5QuxpF6O7+M2krygE5m485MYnJHsEv4q4YyNFgRlGiv4fb68/YGEmdbGboV1Rn7djQNqCXArSP9O8MmsLqQbyDAru4Hoa6T//1GasKKrs9TD3axi5Ga5ZDhe+A/s3Do4HuQdkuP29N+pPfHz04z18E1/3st4YbDchQ4gzVwL5E8jzadrzf6QJSIyaX88B6er+vV09H7XA2ATyDQwt8zvO7bfzX9RXtEHUfZvFWL2fHPoO+5kLUT/bNSBZfaN2zrvXjoE9PTzfEEWa/hb1563i9xsCuUI3/UU/qEIhHS/zF6gVmC9/23th1mQ9casYL/2bofFS16KALLu6mEVKYkzRtN9IS5CP1B852cRzyFb4ZhJJmBZexiKqrFsK0iF37V78RvKdImfAN+NIdZi/BDq+nT4Yba4EBKmLnsTcYRepohCYs/GQq5PAIBy/3U2yQLqrX2MwdQmrXVC/mLEgb4cnADq18y2tQG5AASVWw5djodfyEE/5+4I8bn+/AHJX9GM9d3D4zmUN2QoPnO3QVjujgBnnuuf3ylVw3aoUgr2x4+oxkCbQZ1bi2K2gq+aCtMCeKmZh7tUYZAZ6wl7Qp7tWkL0kd+Vl6pIh1dDT4/5Z1tOgoYA+wUNYqKR3WygPc76Enst8ngyNAhlTREQsHAI5HjXt94kUvH9jGJSEBXDtL/DpP0H2Snw2fn1vU5YoAKYfIyAn6Bi9ZmlQ1m7223sP5I/e6huMkrH4jeQ/Rc6Ab8aRK/EYRyWX2ggUGfJrhejt+LYCexTtoMMfD7neGAfv94ZCjq9SExB/GxRv7TJkK3z1Akgtn3xWBXkSDcHhOW5bZmW4fbOjtoG8iMaBrA+nvhCyuWtr1DTnIvR0KnCBN3OeWuZwPssYVe90FACmktmdjsVujt8oCorUFqTUlrNJ83EzjU6Od5X59x/73qS/381hPpEdpyeHl3/yxrDdBxmOjRGo0igb2P2J0H8uzPkCZHef7VQFukzx+w2hcRB7FU85CofQU3LfoUj8K5nc3jv/jRS8NgP5DIau8ipA6ffR7GXo+Cucvwqaj0tSLt9lv720JthB7qWg04TiN5LfFDkDvphWQIKFeAycnftAst2PgWu2FO2gcz0uCgPFz5l3OQ41kzpJ///gj9B/ThB1qdwubQ+zQtw3ZIjOZwXAJ6xWMa1vl3+e3TSII7badrI0YmuYmkYVNOVXFPzkxIjHyGEgf4KbXRBog9eu+kTVewLk3srX3TZEw39A43ius9dvxpplZjJ3e/3+0ZOk61F/2pMrv1+YAAZ2TWwSTt5OZuw9foZLyrz1jRyN+iJlHLLDeQxcsSi7OdFtXHdOGzMRZBLI6c589VtbaONmeye7X1wNckDw4yX1nOs8RvqshIWrrWBWs/K88/B5+uxoCUIBhgLJlZJ0YunOcyAIp9VBxsDCVWFa6hQpe4qcAV9Mq6Puu5m9U7sEOn+gQYvD9qEpagiL5J1QkI0VIB3jrr0EclmIZRqQXlaY8hTnCkX1exxkIj5PEb3z5+0bCvtb03ljtMCQFVEIBlYIvRYFnvoW5G4457V8PQm0PO+FotYdn3jdbSPV9RMUZXkODv6CQSp30Phfz6DmxPsllpE7RWEI48Sgp6eBIv7F8ncDtDryzXR9A7ITGlMzpS9okGPQf54jN6OgW31wOWm0G+oDKo/Nti/C/FICir1WpGAI5DyQD7PLw/8YdAEs+h3If2He/MpWP8NETUi/egEGrEs3J6XiDeRQu8Yf572u2ZlwoiBtU1GsgL0LWTm/I1DkDGTMsGoYFuHxFDDx3cc7wvVrwtb0Fu2gi+SV7IZ5HsjVcdeM3UTvn4Pyj7Cb78dIcbJnBcBH0PhFoQqAWp63TXmYm3fNu/fKXAsGKDDKFaj5zg9W8D4Na8rjYuK7BT5/nCwRF/32g0MduqH+0dVj11JuVv4D8ljI7Vpiefo3SWbMha64Q81pfwwv/zZlzu3TxjWgdWzzN7AUhizLJ78i93F9WBOQDrpBl/X2bwds7EO7/9iCC+owGltuEcjAqMdEkX7rkxdIE77G/3jJSiFl4DIXk+ob14F0humvpleyuH0fF01C4532zIwvt7lwyDKQpmnqdDF66jqMNDEOi5QfFDkDGTPs4xRQ36tdAt0X58ZnrLA3FEXKDaHw5R+D/Cnp+gHoqU9O/JSs0DEWBcg42OF+FZCHUVj3UE4anPnyat5Xu0T95Eb+Aq2fDc5Hs83zwZ9AOJsc2s3l2Whw9HUgr4BckiysuLdNpyNQE93xqYT57HjuMwsGeTLDs4qMCSDXJ+bjtJF65wY07EaI5sVyulWsXOP0XRW64g7kYJD54eV/ngv66rmOQmCwfkVu6+nQb0Fa+K9T6vkFZHeQ3ujJ4FqQB0G6gCxN0xeNUL/YrASPImVH2r9tnoORP+tcHlRMzOBOtNznnRs32jnLA7qx2/dxzRKQh/3VM3mv3G0hfDAG9aF+Usd4/Fp2yjPw5TMoMFizqPu+SBn0d9QMZMRs7BQwY+f33ILDFLZpkfc6Fq7/TNSEonW9gp5KmKR7XUkDtR8CPwZFwlwDcnnS9X+ATAGpHXW7panD12Rg9pI+v/6rnRfo89P6DTnn5zQv9FwGn//LLq5TQQbg0XfDof417Hj6BGTvENr38EwEDRR5cy1xvjiVN1L3tbdj7tCg+bU8GDSURRnIqe7PFbbiDgUwCg2JWoEmZomaRo+yf2cJNB+XxEdNkBPc46X5QTh2+m66LYT3Rlhh620/e4IM23d/1Fe1oj5/IIX/JciBIMtArox6bOwolLgnaT5OfVjzew/mPu/ctB6NlTrDQ71bweUbK/umzvkSn4jH8FJPuHZFssCLWhyMhoU/VDZVHVgOZx4edZsWKcO+jpqBjJhVH6Z3/L2bW03v9mwHvSMIueG2nxg0mPlbOJgVWaFrSES8HYWapz4MLQ5WJL4b1gd5whYi788TkB8lyDnQYavzAn1qGcj5mdMlk5zz6/01WcZNSxpbt1plWaCCFXoivD4TIRVkuB3nDqdvsitqruTLV8xD2TujZqZfgqQcu/DUpYUc1BhFyw1NcaQbza7J7bMNel6BWuc8CPIZ6pf4lcbslMDWW7f11Co+eqGgOBNRs+nQLChsWTPQGIVlqCXHQJB6Ds8eDLIcpGvU42N7J+c9SWbx+fKH7x5LNPyZ7AOyytv7FQqaEQLtN8KktfgAYYrlK6NJslBKvB8uKneRckeRM+CZUT0FXOxX41fomt58Imj3UrEts2k/uQUF+nA8WdNNlDSPkL866oswTAppUwwyBuTWAPLZHWQZdJxZuQ2GCfT+Dj3FzZCGrQlyY5ymDt3R08U2Aef7Dsg5GTxfHT2h7ZJ03VgB7fGQxsLv0UDiT5PGzNQKEt/Aq/1g1M/qSxMUIm9uLCXQ086/hVVumhOLsaiZbUuyjNuYRf2roX6089BQGe3DEAZBbgcZHVfmmWgQ+nUgr4JcSpwJN4rou5Icxm/cEcl9vI0Ofa7NnvdkBcctrexetzrINlL41rnXu9OE7HgZthYufd/dBaOwzeeLFNeXUTPgmdEsTgH1/dolRaha321vQJqCjAT5LGxY/u2ZUK35IpB9XO7XQeHya0Tb3/1mF5qgbzeBYwPI53GQf+hi6GQC568NItgYn4Y66Qd2EmEF7dsyfKc5empSN+5aT0LyA0RNI1ei4ARpBQGQG0BeB6kH8n325QdjKZGJQAdyF0y5OzyQpEwDw0djLYKGsLkMZBYamP7cIIVBq7jo7nC9NgqGFA/mdCp6en6kjv9Xriq6UITV727jc1TSXNvhTRSZM2/jgqIKrKX29/eksLwIUhjLLBxP8VBle6HIGfDEZOwUsFV2+bx7I1w9f3s00QyhzauCnATyF9TZdwnI33RhO2ms8wTQsjgBpG7Ts+1muBL4StwzbQnRt8cDjwbkHhheXmiCPkgLkE+zzONMFAK+dtAb2Sg2xqgfXynILUGcEqFw62/7eO9vIP+yv49A/QAzilHpoQyDmuatAmnn8Z3fo36LjdFYdtOz56Olywbp6vl2Pr0FPTnrAdLRCuvNQJrYDWpN57HSfTH8/SyQM1C/4WEq/MkT+oy3uGL+6uQnVEh0LhFW+LoYPYX+wrZz1miF6Clj6zTPNLB98yXqF3gnvDUUhv5cVEKH1d+uIT/ifg8st35y36Nm7Z+DPIue7nZHT7IjFxBB9gVZbn/PIYVZf5DCWCZ5FV2Cth+KnAFPTOopoK/j7aR8bgcZFXV98pV08yHnoKEAVtkF9A8gx8RPjM4TwOCfYOZbIHWirkc+EsjxduObEs0OZBTInRHxaEDu1k1T8MiYOeB/T5DyTBfx2Gb14vfh5g3wXNfK94LZyEaxMQapD3NnwFU/Jn6zl5dmfjrV+zi4ZQt0mpgJ/ypUy1IrRM7G4TQlyzrWRE9fppNBUGiQcRVrAnpq9EYWPDQAGQE3/ZT43VRQ3znoqeMYkPtRlL3xqC/bF6iybQ3IVrj1F+fvb/gPqEnu06hf2k3oqarAgIXO5WavuCnUTZ8VBjvYDf8MFHHXdxgVFLX59xk831SFwBEbC20+LSRyHp+Xl2p8y8pzrV0rTkDRXkejJs3T4gTEz+IExCusgFgvFwKiztdSZn9/QIpwaMGi8Po57d8+cS92JIqcgbQMqr/GYrI8BbR5/RukR9R1yidCgzR3QWPprEfhsIem20hVngAOa4KGEZhFCtS0HZFQpLiVIOd7ePYtL8+FwKPRzYp8BVJX+3fwTwW46VuDi6mt8/OFubnNvF1avuK8CU1EdwyzrawAKCDPBtzn+9oN3PNkEMPSCn3zQWra//uBPOJed8fQHlVRxdl41AzwYTjv9Ww2/PotXjQpsw2ZzIBzXgtT0CjkTZ+d385GgVxm2zWvWoZ57ITGCMxYiFSliff+LJKfPg5mfMYJiF0dBMR1VkB8JiwBET2NXG1/vwhyUernH+mgVgBdPs6u3oWn+C1S9lSN/E9XAAtE+DCAvH4PLA0gn4JOxtAQ6ABcAJwATALGAwNEWOMlD5HyUqBr0uWrjOEq4ENj6C7Cm4ExXaDJGH4HvAmMFuGVNM9WBVpQuV1DTcZggDHAWcDpInxnTPkesGgDtH8JflcfylbAzJG23/M5zQMOAsq8Pd50DDzUGGrZ/2uh/y8cQ477IdxUt3msjhWpFtCovTGMBaoDNSzF/477f+C+MGLXLNpqL/t3ZTY1MaZOifZb/Qbwy1a452hofB9wlwji7d19G0KT4+CYASIXb7a39wW+dX6nwzuxcbIRuPokY6a9DCd0svV5BOgqwgZjJpVAv6Tn+y2EmSO91E8EMWb5t/pefJ9tRL9Dx7QP1O8B/Q7xW256vhzn/IJIdly8bgxvAG2BUcBoY/gjMFaEbR6y+T3wrQi/ZM7ByuUZ9mcxZZiCGp8ifA9Ms5SQjKEucCDQxP5tD1xt/69iDAuA+fDb34rfa9PNTZp/nRJodje03MOY956CB36CY+q5P89e0Pspy3eLTOqZOI9uLIeRRysS+N27hTF/FFOepqil0FQUdwp4UkD5LQI5MOp6hdtmlTXWVgt6GBrn6BOQ71BTpE6EEPwbpBXICpDrd+R4gigE/qd4ANLQdjr7VbhpUwT+M7fpSUIM5txqQP8WdRv6qMu/QHp7f37HQDmDNmXOWt7266zG+xKQC+xpSTsUXOVE1FftSJBD4LKpftsKNYtbA9IWFn6nYz3zOcH5NLLXCm8B7FOfZNqx06vye26+Mv3nghzlXpb/U4nMQBqkBshWkCr63uVTYGjZjjbfZta+YkDagLxn9xh9SAPGhfpi+gxRtWNYHOzIBFI37gTxD/YE8RPUQmCd3Qs8Y9fbK+z8ulfFCaLzGOn/PXz0V5fyqsKsyTBkGdy0MTPzfKey+q7WUDCFedpfJH8UOQMpmUN64wOEwCWvqqgpR82o6xVeezlOIj/A/EWoP87fURCCSrHpQui7/WDudBj44/a88KUwE6uOIg4+ns5MJMoNAhpT7huQ38VdM6h/UrOo29dHfW4E+bP353cMlDP1jRkqleNoHZ2BOai/tgKphZqJ99Cx3ne1f5NS//2V7l2QCSBnVn4vGkWBV0ESpCEWSML+fwYB+NDvKIQqLd+ya+QAfjMPTp7b37sZ5NGw+7NI+U+ZKretgNgitYA4eLGbssk5z2n3w+BNfubSHWXdK1J6ipwBV8ZUu1lKcKeADbDOttsruX/Y165AT3aGo6h0/XRDJp1R7f+ZVivaAkXIOwSkBA1WugcayFf9cwAAIABJREFUdDljZDU4+ZlcTTRRnDimEt5AHrNCYPXEd6QG6sN0DBrLqhtc+XkUEzKKUjgLZO+k6y1Rv5m8hdFOUadOIC9n14fdFm5vGzSt5wWlipY3SvTvBaXZn8Kl33Sg6JVP6O/sNh/ZCGTp3rXfQtPK7+X3hgkFnfo87v+jQb6Omq9CI/QU5zWQ5fD+H3QeSD6VmepZwVSk7ZOCBWMRExMQ+3zjPD8NrRQwHqSDgpj5VYjtGBYwRUpP+ewT2B2YJ8KU5BuJtswrvfoq7QD+gPUbOPv9bN5k/9kDqOmRdkr+3xi2AZtdaEvla8ee4szPkccbQ68UeTnmK8LPTrV29tnp18KYOm3D9WFz8ycrmYO231PAs9YvsIJ2BdYAq2O0az3ndtqnQVicG8MI4HLgVBFWJd3uBvxHJL0PQx6mCp9AT0mkvNSYOm3Vr22fBnDAYXDpPSJPlobHYu6TrWcbWGXrmbmPZ+W2Sp+HMfQAmgPH6xW3OcrrWF+5wr9v1brv0rzbEAefQPWJ6dciLF+7AFJ9Ev0sV6NzTTFlkESYBpxrDMfBuHHw4H6Jc/uf94C+J8KJEXJZTNGn4PzI7Rr7HfCdMTO/hI2HVZ6fqiSsw8ZwEPAILJsNtZol5uh1Ls1mHi2m7SnllRAYE+4aNISDm0GTK6CHwzO+Nvw7gBDo9mF/+bEIo7PJ2YKH1MCbwGjp+4NgYwOHSQ2gpUtebnnvbAyCo6DYvz6M2jP34B5uG9oqOwEPAjNJEPZYDawT4df4N4z57CnY2CVXE7Ix3IgKeqeKJAKoGMNOwMXAcWGUnYO0EGhkDNXclAbJKR5QwBi6Al2Af4TGYUQpCOCETPIwhsOBPwNtRNioV7PdfDgJZP0XuQlkcUAw+8GhR0K/9fBQJeADY6gDVAXWO9VZhd+ld8IpF8O7z+QZSNI+JAqBa4G9jKFK8lxTTOmTCJ8bs3QB1Nov8U4toFrNSJgqpjxK2Sqy3JLT3DZomYac0WQMuwLjgJGw4BTY2MzfXNrrv3BLZ7i9ap4qtoopVynqo8gK8nrE7h6oPK1fynUgjg622wvlm/N58MG2pRoKtrIX6gdzIEhT6PZpFKYN7mZi7cfna7+BXA8yD6SBy/2OIO9HMV4CrONifAJAgeyCQoHvF3U9CpmI8wNMvN7iYBiyNZuxnuhbNXgxfPKA+3PeYoeBHAri6HsTVycD8gtZxJkLqa1vBbk96dr3IHWj5q1QyX1ub/ti1LwVKeqxcfarzmPj5NezdUmp7DfavxnIKr0nBuQ51NXEZGGeXw3kC3hzSNFHtUiRM/AbI66T7jVL0Nh1s0DWwC2/+tnwo6AoQ6KuZ/jtmF/O58pPu5fg5s1h8ROVzw5c1QyG/pw4CfdcFszkH4oAOAwFfNk3xTMvkgG6Zj4SCvJwdhbvPwgyMup6FDKhSJv/drh+D8x4LaixjvotryFLXz4UEfVdD+WVg+wedfsm8fQgyICka3NADo2at0Il5w32tb9C3UZR81akKMeFdFR04z5liWOjzzrotS1oRa4V2LaBVEHjN39GHLihjtMbvlNFuLe5FGQQyEQK0Oe/SMFTHpmDuh2xbygHRqN+VGvgvb/C8MszOQJXk6BeHeHHdcbMapZnpjyBpnyL5aSmVPQF5oqExVdUPjsPDYHPHoWL6sNxZ8K8KfBmTz9jK+x+M4ahQH/UBHS5yzN7oDG0eoXFR45ShV/g6z7ffwx43hj+JEVzuoyT9QM8gd/8AH+73hroDE2PEpm6NoiyRCgzhluAh43h5MT+2r9RBmZbLv6AlVI5UBtY54/jUFJ9YELStQq/wNm5Z6fwU6L/67EtYeda0H+DyD2Lo+atmPwln1gS9l2qoLEle8IB7eHZtTAzzjf6p1rw4QVBu6SI8LMxlKMxnYcDJ4iwOXa/vNTydpYIaedUY6hv63GKSEH6/BdTwCmPhEA3X5FZX4swseKKMdNHQL8TvG74Yz6EYxpCrYawsWluQEOKKS79BOwcVuaJC3aTQ6H+AfByqP1rDKcBJ0Oz0+CNCcAAER4Lq7xskjEMBgahvlnLUjx6CfCWSF5tcP2kecChWbz/ObABaA2xuaeY0qc4P8BT5Tc/QDCG2sATQF8vm5UM0z9hbh/441RjNm7StaTfeGh8TAb+hw3BWTmSlH4E6gTAc5ApwSdQ17ye+8OG/zNm1tfbg9Izmw2831ShmDOGfVEFwYIwyyum8FI24HF27noSqAc0F6FMdUEx4c6YC98LEdytBvAi0F6EJYl1Ou5uaFUb3r3PGE/fxD3AoyJF5VAx2RT1UWQFZRYct3YJDFwIfWalOwLPd3jvHYGsKcOvuTA/sGUtczIPC7CMnay5VVe1rZdRUbdxCl6vtj5y+3t49kOQ86LmOYA6n+HFtC9NHteAFOeIzNqsFhpz8kqHe4+APBJOubVL4MqlSTEQf4Zbrs0g4PpDySaVzuVcvwau+CwfTO3jeF8CUhLj0bufUFChdcIM0ZMPvu4Ve4eo+zracZafY8VLftDqaZ9YEo1BZoI8DFLD/blw9ploSCkBebNynTP7JkBOR8Ou7RL1WCpS/lDkDCQwk4FfFMgDIAPT51mMh5IPBLIF1yC8wS7mIHeD/DHEuowAecP6nv0zX23rQfrbSd/VjyXWF5dNhZE/QRNfgCr5RGiMy2VZ5rEXGsQ3r/y/8pmsH+CTyd8DyDlWEVE7nHLdN2AZBFx/DeR89zKiF0Rc+DaJc6tbW1z1jVUInQdyJMjuQdUp7LZJ0b+LchUXFuRLW3ZezvXhj7P8HCvu+Q1vCXIpyL0gH8F1vzjvA8+fkqLP24GsAumXno8zD4drfwnBJ/ABy+vFide9CZ2x+e/CSXDjehhf0P7+RQqeImfAN+O60R+e/rniSWA+kN1Q7+EdBda/oIgGYl8UxoINcgDIdyhY0asg1aJuWxc+r7InBAe4P5OfG9sA6l4V5CeQWlnm8zxI/6jrUwgE0h1kNsiuSdfrgiwHaR1e2dkr+kC+AjnW/X5+riMge4L8kL4tBixATztfR082foRbtgZRp7Dbxr1OI3I2b6GAWQLSKsr+jm6cBdPHQY8V9/xGbAIZBzIcpDW0XOymSHDoawNyLchKkFM8jo+rYcbrQYK7gVwBMhfk6eR1yMuct72u70UKlvLIJzDjlOzs4ZLyPtDvjpKsX2D6QKsBBH//Cg0yfwLwcVAVsLES/w/YHY1f2Fk8xqLLZTKGPsAI1C9rkfuTwQW9zackwi/GsBA4EPg6i6weB25HYz4Wk0syhsOAv6DjbUPS7X8Az4rwfngcBBL4eF9S+gQ2/H2IPj/ZpPoQH+szZazYfhVXdC6b8z7UOjkxOz91qr9vrLwlqOvnr8BObY2pU5K9755bnarb3zmZt/aHGa/AI08as7w0V36J+ZPcgPsOOswYdhFhU8VVJ/9NKF8CNIMTTgv2O3Lja9bHInSM8bTrCri1BP5AbE9xK7BrfHxNjGFn4GGgKQrCkja2tAVmGQRN+4pMneyvHpXyPBr132sDXIqCPMUlL3Pe9rm+F1OwqdCFwPrpHoqBhjReCDMnw4rlO9bknTfJCoFuk3bL9sbwMLAcLjgbHvQ9eYkgxvAMcBkBCIGxRe2wo2C/ptB1GTQ+T+KAL/IlGUNPFP3rNBEWpn46rKC3brzlFNyhAiE0GyFwAvCIMRwpwvRg2Nq+kjHUAl4AhoswU69V9PPhR8NeDWFCc/gsRC6yU/QZQ00U7GWNy/06UHJoAIJmGCkpULy3ttA58tul2dbJGKrBvvvre2uB+4nbaO8N/d7JHoTNqU63olhXFSlsgXxRY/hrPfi/30OtRj4UkwWe3ISOHw6HW9cbc/lXcPBb8NxsuOA2ePCAWF9dewbMWwUH1YLyMthYP7jvyKsC6MfF0Kul6qp+BaqgINi9Flc8YQwN0UDsC4BW8YJtmnQGur/5wF8dEpMxlx8FJR/AmiXwzU1w53w4pV7iU07fRO8fYeZDsWdyu74XU4GmqI8i/RLq7/RQBs9vAdkpar53VEIBI5q6m29cMglkAMgYGLIiAPOuJtacI6vAzs4mFT1K89GkAqQHyLcgB3l7Pncmbrk2TQG5gwBi/YHcDnJf9H0brh9tFu3zOMh/KkyvozJByibOJgr+sNjlXm2QKfDFk/loWoWCUz3tpy2c++qKRV7rBFJdTaZnTYZuC2GkhDWfJNVpEcxyKOfUt8L4RkDqwKhtuZor85Gcx8pQgVL7u9dymHY/XLfauZ0uehekigY/D853TvnqscSbe0ky//1/gqPH6Xjp8CYsKAO5AY9uJLExOWwtdJnq/btxn8uhbiMYtDEpBmEZTH/VIZ9W0LZczaJHi34Tsbrnqwl7kfKLImfAN+NqL/2fDJ4vCoHR9tdnIMfrBNjvu1STdnD+B/IpSNvs+C6MidR+D8tBDkn/bMUidPEXcN6vsQ1VeBvbXLcjyJUgT2afz60nw8jN6lgfjfCVr74ddszNIc4PsFC+l6R6nALygcP1XUE+QJEBq2QjaIbI+3Ug92Q3tirqdM1SeO9mj+XuBDIe9YuuqfmcV5at8s47z8nfQ+/voffPYXwjIEfCjRtyUbd8pthYObdMBf7SSt94Ol81kNtUoRKk79wnDyrwkRelR0W5J4yHnpsTx0uvFZkJcpnPyaneA6kG/WY7z5/nbaksMKaea2H/xnDNlnxbN4qUXxQ5A74ZRy4EeSmD54tCYLT99YHdbNWEhavhrFfcJm3niXLINhh4fIZlXgvyWHZ8uy1qXT6Ouk3j6tnFCoCHpn/WqW07l0O7KWFubN3b8fof0FO780D2cuc5Mw0/yEkgWfVRvghf+ShYgRwKsgbkCG/9nL+bZZDLQZ5NulYLBX96DKRK1Dym4P0ekOsCyqsdCpCT8iQEZBeQN0H+SxxsPnT+ILeWBSc+BT2nq5Kmna+yvYUXkA4w9Nt8+wajG3Pu33hqpF7ZGUXbPDg4XqQayAova1/ie9nNqe7vNx/n771RP+vvUQ7tWnE9cf2BDlPTCNz9YfbUfFNcFSm/qNB9Aj0AwxRTnqSKgPGXwwGfi7x+vtuDicHf92mg9v33lMGJjxlDaxF+8Fjmc8AMYxggwhZ/bJf/4OxzUHKEMXyCgoc8KxEFWDeGy9Dg3G3FUwDYE+6p7Cz+aG1ot1hkaojO4m6+G4u/QEF8BgL/MYY1wFTgI6UGP0KHt32ABM0DDjYGI4L44zlfHOvzy7fDGHZB/QBvFGFG4l23fl69kvxNDdFg4MBv9XsVWAz0EeHXqBjzkOoDXwaU17tox7VAv79KyRh2RdtmOdBDLDCWMXSBPx4Eg5bB/fuFDcJWEcjdlt0GRr6d6TeSAQBZCXR9B/q1Snz2xo07GsCcAgrtuZe7H15Kn9QuwKcizA2QpfbAUm9rX3zKdk51e3+/9qnBkNzeW/g50Ai+/gI2tq/ctlWIX3+MqTMSTmhauR9mA2Ulxlw6GQ46Hn7XSWTqG97qVEw7ZIpaCvVLICeDfJjB88WTwGj762WQjiAzQNr5eN+A3IcGNPcc7BRkIsgFPnneDebNgn5rK58G7d8Y5CyQF9DwF0+DtK04NciFDxcaB2klSNMUz+wOcgHI/SCzYMS2KE5q1NdhyNZUp2poaIemIH3RmHNz/MLY2/HyPUg9/zznx6mWu/a404Rc8hHXto8R5weYeM/p9HTwJpg9BaR+FPx6qM/fQYbY3zuDTLD1y8qfOEe8vwdyeoD5XQfyb5d7u4FMAXk0vm3Q8CDLQQ6LymQWOr6d6TzhPdaa3AcyLLFurZ6GudNh8m356Ksb0ljbGeRZmPM5dF/sNpc7jQE7H88kS/cMB55eBOmb+XthnQSO9Dnmhv8AMsB5/hwmiaa3Fe06y96reHaWQJfAYxUWafumyBnwzThyLMiX3p6tXQK3/hKlX8+OTNr+g0sV8GX4D/6dwKWK3Zz9D6S6x3f6gjzno6waIO+C/CPdxgaNhTYIDSi8BD6+T8FjwpuMQS62AmCSOZ7sbIXRO0A+AfkRDWp/A8hxcNLYKMyaQDrA3K8y3SDCJZP9CmIgH4Oc5J/n/DDD1PHX//sk/5XlFsjgjyDVcgUcA9KNJD9AZ37j+7n+ASC3omZbgW4CA6rTi/Z7qomaOT5dCAKg5X02yOHB5df1aLhli353sXGExiP8FOT/iDOPBemJglGl9UUOsQ1qwKwPVNngfc71quRBfR87VX7/llYw1NUPMV/BnHy28T4g0+y3UTNTYR/kDJDpBBi7F6QeqoDdLfN3szP11/e7bHIW1tzXpjRC3k6J48aL72WpKCjMKIFO4rxetSkr9PFXpPAocgZ8M44cAjIv/XP54dezo1LQ7Y8i0r0KMhYPvjoqoC0qh9bPel2MrbA5Fg02m9FmEOQY6D8naOEhcUPRebL6VcpRKgDICSA3W6H1R1RbfxtIa5JOv6NDb5QPQC7J/D3/ghjIkyBX5svYzaLtdnLyowXZW4WWOZ9B91CVDpaPCj/AI32+fxp6YnQ7SLVctqF7/574FNywXk+SvnkP5LmgeMuRNcAPIHsGx6/TeO99HMjXIH+O38SDXAWyFKRJdH3421w9XpUNbV9UEJervkk/z/ee7vEk8GuQYyu/n8r/LT/mjoDa+CiQJSCj/ApxIG+A9AyYryEgAayp/k6tFVl0pBXARksMKdWrH2rH96D7pzB/oW2fiSB7JD7nBiLTfFzlsTci6f8KquxPWKQiVVDkDPhmHNkPZHn65/JDm7+jUhjtj552TQa5P91GS+8nQy6n0xDL3VaQ2tkff8GaETovBlevh5lv203gdJB7Qc4FqeMtv9yZbIG0AFnsZ3OdzWYKZCTIHdnxHg9Aca1n9LiA268riKPpp26Cr/w87DkOBQOZAdI7y3z2Rs0tJ4E0yHVbph5XAzdAkwPDyz9wa4CdQTb73ZhXzs9trr5xHcgfkgTAq61g0DiqPrR8/Dl5rkZPLT9Cw5c4zjkqQMxfqCExUpqoG5D18Zvz2D1/AClRtpeP9j0PVfxcmkUeh4KUgdQMhqeKOXn4j9BpQlSCjUvYjG1wkyfrE5BWKFDOAagrxF/Rk/1Glesar/yrXQIXlGqIjviy225wHnOjC3b8FSl8ipwB34zrRL8u/XP54dezo1JY7Q+yO8z7JuhwEyDXoOZudf3zdsqzQW4A3Otw2Qcge0fdxx766gWQwf7fr1gIb9qop2Ge45hdTAYIwmny2hOkHI9myAG338cg57vfd/vGBi3Vza50RM3n66YSGFLHr5JHQZ4KQuCwG55bUHPm9tGMyXA36bkQAkBKQJYEl5/bOBqwIKnca1ClTqOgyvZZ/yF201zpJBRFd30TNeWsmXSvhxVgf69jvt1LMKISBL991nWfkfoksLD3HVb4HYae3J+QZV4Pg4wOhq/8OmGtLKRNvg1klpPSIKlN6tu2PSvp+iDUbN4VCT027uJNQUcKNF8PV2xLbJvK/oRRj60i5RftAOigbmh1GyJBc9zxklv7l63IJlcR1hnTfza8fFhl9MadxhvDVKABnHKaVxQwY7gYuB5oJcJ3fvgyhj3gn01geDncVScYlDw3RLHN20RY5S/P3CRjaAycClzpN48KJEBj+Bi4Q4RSj6/OAw7yW24iD3xvDIuA44CPg8jTSzKG44G9gf+5P+U6x60BDkDbvwTYH6hmDEvgNyrVv//aAp3+Cg+UJCMlQnkr4GSgmYhfpNVYEuEX4HZjmAyMNYZ/Q8nj0OAPOtZXroCZI9Ogv2aZwkZcDTd/RbY87SE4eHdjPngqmPZyG0df/jbejWEYMABoI8KS7Mrzn4yhMzAMnau/T74vwkZjOB94EnjTGDqIsN4YOgJ3AKeKsBTKMYYLge+AYQ7zaQm4zTdOSJi3/AIXL4b/nhTGupeLZAw1gAeA5sCJ2k6+86oLXAIcEgx3+YLYrCkepbYiGUMtYLwxtBdhc/I7xlAdeB54WIRk5M5/oGjZnxjDo8AnKAJwfaCB/j31SK13LeDWeG7qQB/gTmD6r3BkFRiETvtQKOOvmHKcopZC/ZLVVP1MXJwi5+ecNEf91sLCNfDKVduL43a+UpiaO3dt68BS1FypI5z/hke/j9Ygq0GOzmJM1kdNM+8J0uSykE2LUFTSPwWU1xvJmtM0z9cC+YmAQD5QlMAbc9x+T4Jcn/oZ798YivB4JGrmNRA1p3serl/rPMbOeoUs/AA91O93MGtypqAe2ZdbuCeBYc2p6fIFuRFkPkjDXIz9FGPmNDtXH+Hh2aog/wD5Ao0HuRpH/z6ZhANqNRqP2DX2W+V5vntXNQlMRm4sDJ8se/L5Hup3XzuA/G4GeTw4/vL/hBX1U33OkkULl+qoC1NzkFLL9xiQR0BeA/kctYzYhpqIxtdvDMgA3c9ICzjDwR8w3uxTRMdfZ1fQoiIVqYIiZyAr5tVWf/f0zznZVT96QTrI+iIF1U/h+KB52Wi52O3/DPf9KaYAOPtVVQr4h1oHaQSyAGQEASKgudch/8cqan74PQGFBgB5BuSyDN9ZBhLQeJMLQN7MYfv9Do/AH9mDHLhtrm7cANIn3Hq2zLmSI+xvysXn8MdglF9hCpj3tdfN5E0bk9BBR6Jm8pH5cVo+jrKCXBtvfVAxx1+7wprFdXN+rv8c6D/fwQx6GMi9/vqmwlxvhMCJiwpgvj4IZB7IXwhAcYYibC/3Iqz7a18JdOz7rGNNu/a3tAqDgSB/QlFUK3hcDbLVtkXFtedARqPgSueDNAPZlzh3A9TcexbIfQp6VDGWm49Tn8BUZp8icI2omeiFm/Sd/B5/RYqGCtkcFGL2FilNO52P7FuOgQnV88WsYHtOTu0fTEoZmPa3stWkrfRP0Poi+OQ12Pu/IE/E+n8jMHQVPLsQyjPmwhgOB95CTRUfCKZusRSrw8Ixak5WlgNzuUBSf2CcCEEFCl8H7J7hO3OBg3E16cooTQaeNIbqImwLIL90qQ/wojiYuyWn7L8xN1PAjWuAR/3n6yU1Pjhc08zKKexvKpb/1idgv8Nh2gR4/Bi4/3Tgsexyb7BvGO1lDMfCNf8GBLhKhKeMwRjDaNSkr40IZdmUkSV/JahZ9EARJlW+X6dEzQXrN4Bv18Ppx8BT+8fm+Js2wTV3GdP4CxG+ib3T4R34c8UacmBSwPhGqFm5Q/5bgQN2S/y9+/GwFs1rf2Lmep1KRaaWhtU22SZjOA14BhgpwiMBZXsJMFuEGQHlh4sJ7s8w+PXE/snOpNyadMaZYCZQ/LVaQBmwMo5WAO+iY/Up+PQFGLo7NDoQSupCvQtEBr+ZjgcRSo2hJcz5H1w0He6oFatz3yXQajw02g3KSuCxRjGzT+wze6Djb+PO0G5jAewXiimKFLUUmg2hpikH+Xs3f8wKtqd4QtG1XfoTEGt6cX32gWLj++v8N2y4hi5Rt0U+kdWQlhFoDDO5A+TmDN/5B8igAHn4CqRFDtqvOhp/zbd5cmbl1S6BbkknV0O2wpmB9Z9DHeurMmbEpnzS7gdcx4tA/mt/H4aa1h6aRX4N4LpVISAut1BriEvfhxvWaciM2iWoKdoMkN9F3I517UmkI8CUi8WHVI6xdvmHqLldC30v9VqAxqQ9P3X+br8LYyyD9LFtcmqAeRrUxPEc/3k474sqr/nPXK5rcDqQODGoOfwhIKei5sHXgdxjT+4mgsxFAcB+AlkE8iEKbPZ3kJtQUKEzQI4A2Ys0YapgeEs1D3YK81BRjw5T9aT4jCnO4EStnk49Rr0FmI96nBUpPylyBrJiXjdkx/h7N0hBwL/gVqimfoVIduL/IhsFgHN/9Y4kdEA+E0hvkP8FnOcNIHdn+M4QkPsD5OFv5MAv0AoPH+S2z/5xDgz/AS7/CEZuhr979r/MsG41UV+htSB3wrlNt9c50G40x8b93weNO5cxXD5Ie5CVMPUvAcdePQUWroVeKxLz7P8DzJsFUi+atqtYYy+aBNevgU8edH/WbT0fnXSt43sgZ1thvL37WnD992j8QQH5lyIxp4Pfj/89Mu/HMuoveQ9qAlpJmZ7NHkfHlMxNJySl7nvPfs5GXTqc+mdwKRqjdgHIJjSO7jyQ90GeRcMyXI+G4TkdDWexO6GHXWk+zllwmyXQbaGaZcvFICNhaFm6/QrUbgVty6GruASYz3tz5CJFQ5Ez4JlRhwkJjQ/Uyn9+yR/hlUu9xR/LTHBDA3rvajVHDUEOBGkK0gwueGt71YLnG9lFb4WCXfhr83zzSchHQh3jZxOgZtnm2xfknxm+czbIWwHy0JEc+AXaTcolOe63q9EwENNB+oaQv0H9ZhaBjCMuxlyuY1fmsE17gPwrqQ1eAPl7BnlUQ/2MvgVpHWR7gbQDWa3x1pzmtVOfzzzP7BWkma+xbsLcKMd5GuQkkFXQ2UW46zQB5Ap77TG4NhmswyH/+N/nluXbWE7sl9bPwjfvoCAwDiE2slNO2+97gH9e3dbZmzek74d46j0TBX07iACAbjKvh9u4PLfMXamwQWxsznEgd0KXqemxD+LDRiQDElUIl/mpjChStFQQPoExu/0E368WMHsFHOohTER8XhigJpT/CNd1hYtugr32gbr1YWRNePxwC8u+s6Vdkv7uDN3bw50HVPYn3PdLY/hO808gA/wEbK5MBx2Ya3+YHTWJ8IsxPAe3GvUddPcldE9hQ8tvF+lsYBNU9tvJMvn1CQwkTISmbouh0WnGzJoIK5YH6UcW82lp3AT2bwrPf2HdkXKVTgQuA56DwPyCADCGo4H7gD2B3iK8F38/PL/hyFMN1GEMABHEGPoCXxrDBBFeTfWyMTREfbU2AseIsEbzyb69jOFc4HGgE3Cb87y2+16Z5em8Vsf52HlMmYYCcPNp/TXud2yOF2GKMbSDMW/BtWvgr/US14IJfdA57DsRehnz0VOwsUvl/Ku4/P7uHZGpeTOenftleDlMbCbyzffGUBX4HdBQqdNN8IAQwBlQAAAgAElEQVSvUAw2LNDJ6Z5LndzW2WoVzM8Aptu/M2DaUNjYoXL/fPOVCO/75yPbVEVcwvfgXL9f7d+5X4jQEcCYV0rAJH9TSfuVivaqhYaF+IvNawZwL+ovWMS8KCaHFLUU6oXSmHosQYORPmk1rP+z2q2PUbObeVaD+h1q5/2r/fs9itY032q+Z9m854D8F+Q/Nt/7UF+kW1D78QHQd7azdqfLNJAmKBRwPZDaqG9PigDNxZOl3I4lOV7HhD9NerG/PLXxJDJE8fSY7xkgEzJ8pxrIZpCdsy8/zHAn0ZuFx41p3xrzyqdAvY+z8+gqkH4g1XJVn3wgNPhzJXNkexJVBrJvinfPss/chE+zuhR5X2j7pLn+7zavtX42s3ybu8DXZzY/ZmqyD52OqOx7dXkpHD0u1RwPcgDML4VeXyU/B3ICyGexce3VJzD/Tlzc+/f61SBLUfTKMtSP72UY/G0m7Z/Upn8DuTMcfp3HUT7Mn85ja+Ea6PltIl+9luu4THUSmBzCKvV+JRNz6KjHYpHyiyJnwBOTqU09vrCbi+6oDfW5aByhE0GORs0A9kNNMXdJtZiC/BHE1e8g9lxwgkA+Tl7bM6HmWAtAmvl736m/rija28fa93hUMVM9hLybg3zq473ZIE2zL7/1s2EpAKJWLoC0suVWiqHmPQ+3cCyfPQqyRy7qkW+Ehhi4x+XeLajCsmrS9eogd9nNuS93hzQ8dUFjkh0du1a3EVy9PrHvBqyHOZ9C28NSA3T8dr0VXLLFr/AQx18VuHF9ZkKAPABfPOVPsSf7oPgCf4vfH4BcCvJC4viuyL/5uJiAGf87f8w/E+votoe64jM0FEGNxOfd5qPLPkzTlruhCvasYkn62Rflk0k5yM4gX4IMTuTrwndgwQq47CgN8zDS7mNHCvQRv2ab3oGRisrqIiVS5Ax4YtJ1QhowD6RfcOXI7+wEtk/q54IV3OCWVjBiYz5MXjsCgdzmtjHz9n78pN53Jsz+OHkR3VEJdbYfGlLeTUDm+3jvZZBO6fuzsg8Tikp4JchrMPLnbDe47jxEh1ZsNyy6GmSVT/GU3KFtbwK5w+VeVZBJMPXPsfHX7iWY8xnI6yB7hcBPL9QC5vAkPh6H2dNU0VGxDtVtBF8+C4M3Oax1rSqvgd1/hkHiMgZ+hNppBVpUWWs3r72WewQGOd4Ktb4VDSgYyAeoT2x1e+1GMgSiylcK5mTtyqWwYCnIncmKi7h2HAbydDA8549Ql+FYMiBPoMBClazAVNkw/WU9qY5v38t+UmVCNiCD8UqK5FiCPb8tlDYsUu4ocgY8MekqdH32CMiwYMuS+0Hu8sZTMBMUSAcCRlIsUsr2PtRuhIIIiFsFZDzIY04T/o5EVqP8HSE54KMm1mt8vHc3LoieznNL98Xw3giQCSDrQV4E6QKtn9seTwJRc00B+UN2+eRP2J18IZBbU7UrDGuhp6Xx46/fWqjbKARerkZP6Q+Ku1YVdaWYCFKr8jst3cblIufr10llYIorxZ5wbE0lCKKIkhX5tYytscPWQOfJLgJgVdSE8YoA2mcXkFdV4SO7gDxEFuAm+URBnaxZIf09q6TYPan9qoGUghwfdX2jbWvpj7oYVfqe7P2dFfgl3Pk+sf8ufR/mLyIAt4gibV9UEMAwiYF9G+wLex8PP5TBv9rCQ82Nee7FAANh3gOLvjSmVwnsWc8t6GjAQAZHQpABVYspVRJhtjGsQZ3XJ2WZ16/G0BX4ED4cY8wN+wcRrLaQUgzQ5PjWsKUMnq6rwEuBp/XA7sZgRJAM3psHnOR8ywmA4oESuLk3nHodcIEIGwGM+WIK9DvOH6BQuuQUBDmovBNTYlDlnWrAbQ3gwM+Bj7LL2Q2co2xFdvkWdKqBAoy4pKkDYULVxPH3l7rw9e0ECOBgDMOAq9GA74vttWrAk0A94BwRJz73cQHoqLdnDHyiCtADBZ/YCehD7N6vwG7AocBD1WHhk8ABSbxVBW4CbreXzhZhKpQDdDWG2wBEKHWo2gDgR+A/3lrCPYmwyRg6AY8BbwPVgZezzTcfUuIeap8G+k2mXp/c9jjG0B7t4GnG3D0Axl+pc0mNajB6jcjBn4ZWkTxPxnAi8AegZcW6kZxE+MmY5fOhVrPEO8ECzCX3nzE8A4wxps79sfl/x9mnFJNzKgghEGIDWjcwnT+C506KbZY2v5M5+phbqtMQTq4FJ12ia8AY4E8+0M0ySkcA40PKu5ic09MoEuKkbDMSYYMxN/SHnyfDhGrZoeIVVnJGndsY4PcYSyJsNYataEEbMnh1HnCl8y03FLpli0V4MbH8zDdSXlNi3kccBzVqwMuBt6Fzfw36Fm45GBpNyy733AmyBZRqAD+43w4fbdgYRgLdgFOgTjVjmj6lytR9G8FVpXDYWSL85Py2m2C/qRZcR6yfbwV6AdN+hJtq6/8V14fE1ysB3dcY6gNPoaiU24C+IryRyMP/VsI7NxuztJXdtD4ETfvB70ugSTOoc47I9ZkohVyTCNuMoQdwj2V8cxD55kMKSnEtwjbgGmPeuR7K3oopMTYCQ8qMea6kENe8ROVY5sKRMewNPA/0FGFB6qcXzIWNzWAt8AQxhcni9SHyPAgWzYKLL4G/N9yR9inFlCJFfRSZKYVpNqXH553LnWOshGeWhSKSZg1cUaSM2vz3aLDqQHz5dlR/qFzXG0X6zQh0AAV+cDQjzcd+Q1EJv8htf924Lpj8a5dAhzfhhvWF5McTYl/+HWRw5v0RxHomBgU7m6nfgJNJYLeF6U0Ck9/psknXxGSe25arr+CJi6CjuAWtjuPvDJAVaMDumSA3O5ffY0mSGePWWPnhAKmhZv5i+WscZN7bC+Xj3Om/LlnHRayGomLf5r28jqUK3pKMaOu1THee3fzcocO0xD4rtd/peWUxcKfsYnwWqbAocgYyZjhEv5PUMLvh+LVY34OfCAFNsUhp2/4DkHODySs//aGCCNzsr94DFhIOsMXMTBUmdjO8Hs9Bka9cGjGy3K4gmwghnELl/iq189tlW4IaHyD7gyyLqv3yiVC/MlfwsrDQoe2YvxdFKNxLr/nbtFf2DTtjivM3f/6U2Bj7UKB70ga3q0Crz+CksfDJA1ah0x71MXsARxANL9D3wQseIA3QkAn9QJbD38+KenMc9lyeOT/5ueb5q0vm30Zif/SbBd9MJAOcgWzDqbjzfNKbLnNKK7hoU+LcH++/W+G3W0Sq35GoYMxBYylMvxM305xtAeXvmA4D5omaWBRTbtMzwOXAa9lnlX/+UMEFbk6V3OptBJhvDE8D90pa8xjPaR2wRyYviCDGMA8NGv9x4r1kE886u8LwrfD4koD4zTiJsMEYlgNNgNnB5l67dqy/lgD3oy4stWpoMOxAxsdKYG9jqCrCL9nzXNApIVh8cgrDxNgYqgAPAMcCp4lUmKP6Mz2t7FvU8inY2LLyN79msf5euQKORn0Dr7Bl/AjsDnxwHGw8Dm7aBP9qDf+4HjWXHSzi5OfrxvOvSf8HZz5rUyNgsQgPGfN6VVj8aqLZY25N6Iyp0wrOeR0erZ0/Znz5t+b5T5l9G85r64CaMG4/8NofDXfLzhT8dwc4v79nO3ioSqKf8UONYeVLcMjOsT57Ajv32+eeR/12k98rBpjfrlPUUmimFG7AZjfNStvysLQhKPz8f6Ju1x2RULTJdbigeGWWV+0S6Lksn7RouTDXSW2SIvVRc7S1KMJmiwD67DWQ83y8NxYPCIJojLY5IOdE1W+Wj5dALg04z4GJ2t+KwMTBjw80EHn9KNsw+zpkf/KChhzomsNxUxXkX9bKoU7ivWDmg3RrsPeYZf1mg0wGqeleVmQngV1Bngmy3fyPvzOmQNutUfCQ+Ti4ZjN8VnBI2e59PLgUpE1FfWJ9cl6Zi7mz5/7Idly5I/Se85PzCW3nLYnz/6ik+8n/V1DhnewWyTtFzoAvpqldAtevVpOzYWVBbbSdJ7XO5V7iG/kvr99s6L8gH8w7dkQCeQPksmDymnQLXD0/X+Ia5cpcJ124FNS8cRDIYpAPQS7IxGwmKa//gHTz8d6tIGM8PnsuyCxCMMfMgN/RIH8MML+rUfO2dTBxpO2v78MYHzoebvgOun2aD9+B/zpkr2wEeR7kknD5rBBUTxqr8cfkHSfFVpAK1PTffPz9NmWJm+UKunEDaWL7ufCcC5/AkSB/0t+5N3tMrPdogRF5uUGHtofByM1w2VQ7Do8AmarxJU8amy+mq5m1d8W4umIRTBoF8o2uB++P1mvJmBGlvvojez/EM6ZUDscyTODk1anDulS4AHSUxOfCUwoWKX8pcgZ8M47MBbkC5NNg861YvPrP1w19WCeA4Z1oFimjcXQFyCsB5fUYKfx/cl+3LlPzaVJHnecvBvkEZB7IVWQYtwiN4znIR9mdQZ73+KwBeRekf3R9J51AXvX/frxwcMU0WPAtyFsgz8W02sGfcGwv81pwp2YyHuSCcHh0autBG6HFwanfuewDGLoqV5tz97Zs95L3eiYInK3CDiJu5/K+QY6FzOrapixW5qgUG/QzxoXdf2na6WqQlxKvtT0MBm8qtDnAKuVnQb/5iWAqYkBOgcGLU59K+z1V9zeW9flZtvyKMTJLNOC80xy860Vq1TbCPjtBEv12iz6BOyJFzoBvxjUodWuQWSHl3xDke1KYqmSX//aDrFXIBFIHF9AQH3l9RR4EygWpBfIEzJ8PPb/Nt0k9tqjKK6jZ4K0g9Ty+ezvIKB9lHgvydQbPH42enO0WURsdCFLq710n4aDfWpi/mDgTwTAEtiDntSiBMNxPfzpldPKCBtU+Kxwe3dq6zfOkOGkHOR1kYq76IR/Blzz027sg7dz5D+P0Mb6ceNO8is198qlPt82wcC1IF//lZdOvUsUq8072Ni7zf28D8jeQIc733OaEUQljIlfzlvO4vKxcTwiPHqfAM/GKk+Rne/wC/xUYtQ0unJQrBUuR8osKDhhGHXKP/COctgd8MhQeqAONAy9HhG+NmTMbRr9lzLZfgg+qGX58qHxI2cbeCTuJUG4MbwMXAo/4zccYaqLAIzO8PR9OuxjD4cALwKdw4DFwUQ8YORyWzA8yrl02SQQBJgOTjeEQ4FpgrjE8C9wLdbalaJt1wL4+ip0PNDGGKiIJqBJuPH5lDK+jQaxv9FFetmkRsJcx7CZCRrGjtO0qAAsgFoC88zSRV8srngon7mEw85oz8ELv842pc7ZI+Yf++fOa3EAvmhxtDOcBr9lxnC7tRApgmOySW1u36ghsNYYN6PeSTPsBbYxhqMv9dUC5CL8EAS4VG2frHoCj2imK4rtXRT0PpUmNgMWQ/J0c3xp+XA0vXxg8//HfbRVi468HCuDUC43Rvg2NxzjtbHhyIzDWGM4GrhZhnZeSAgINOwcoB5K+x/zY2/hcY6uA2/rgNidMXgUT3onFQw0GjE35b3wv7H4i1AZWfQSzh1bkkzgu6zWCX06AP9eGQ1vGYrRqrFkFc0peE/6vCrQbC1NrAgtEflvncjC/FlPepKil0EzIxeH853DMQWqXQN9VYWn/Cllbll1/RX8SVZlP6QSSpR+UHA/yVVTtYk/XrgRZA9Ij7vpjIAOjbmMP/O+tp3wLv4OBG9xBJ6QnyOM+y1gBsl8GzzewFge++yXLNpkG4tkfGaQmSHcYXu6ssQ7ffyiIeU3H8lmv5BqkK5GH2iUwYF3lcTi+D8h02zdnkAYAAwVoOTkcHls/69bW9pRmNzRcx1Go1UwHHR9yh33+XhREZhzIRDScxGKQH0B+ASmHmzcEsU6BHGC/v05h91327SrVQLaA7ORwrz/IP8MpN/6kyQm+v205nD8l+YQGDTP1AEgpPHlxqlMokJ1BmquJeNbf6btOp5DBAhD5O1Hzu8aC/APkar95pqu75nH0ODX3Pa9MT+sq86TPXVDqNY5g+nLdTjEvnKhr78LVcP4bheLDWaTgKHIGMmI2p7b54ZYFTQ5UATa/BaR8bkP3cjNbPOzm+XuQfb2XITuh6KIHaAypQYtgxBbo/AG8MxzkWtTM8S8gD4M8gyJbvg/Dvw+yXVDglSdRMJPD464bkKUgrj5C+UZwyjOpFzPpRJIPSgbtNBHk9AzfuRWLEpj7tpBHQAZ4eK4E5C6Q1SBvwMUTo1IwuZj+LUv1Ddpxeggak+1ZkDK4ebPzpmVETuqhfM39Ci54K9k0ygpYl6IospNBTklRt2kgJ4QwNvaAOV/CgPU+NrrVQLaR2mTUCpGdXWICXjw5A17roWaDjpvrfCNSxLkEORXEc90zKzd5vawI5H1umbd17KWelfcUPZdZcJPHQb5G449+BUNWOPdrakVRbG3t+gmM2AiHNXF+JjslZzZ56Hp+ySQ/cyAa19PVFzw9IJI7iJCzYDdLoO0G6DA1cY458Snte291gEs/TNWf7nuxkT/Bp/+Eft9tz3vRIrlTgZmDupkZ1A/BzCBsk4Z5TWDu19BudnCmWPmWcm8WksrMBcrXAHVQ24oKqvh/D+BTY3jM4Z7T/wDlsHATLNwb7qhhy2sFw4+E3V+A41YAq1BTxB9jtPxuqHV8Iuf+2sUYmqLmnx8Dx4uwMe72wYAA8zLNN7q0197OY+a0i41hG7AFNdX6LWVg9lMRK/DdDBj6C2qq2kIkMcZgDtJ0+PJEY65umVw3GwuuHTAQaAn8GzhJhPnGvFkC/ZK/gYUxc6XwUmUT0513gtH14PGyimeMwaBjs00cbQEmAm8CN8LEMRq3MNn0qjq5MCszhp3goCYwrqUIm+LviZoTP2cML6JxRp8whgXALSJMS8oqZZxAn7zVA96GgyeC9IG7psCsqbBiubc1pE5DuOYXmDfJmGVLnN6xdVxvzJLFzjEBD25uDKOA+0QoxyUZQy3gf8ALIjzgq8K5TyVAqcu9OejYDSGN+gRGXgJjbKy2vYDShfC+R1PCP58Wi2UI+vfvDWF4N2h9D/AgMEOEzcZMe8r5+3KP8ee8ti55I9nUMXEOqL8vHNYCDuzpVAc7F9QicZ2tDWfeWtl80T1mnTHsApwJXAycBfuLz71HVXCPbZocM7NyWl1W2WR0NlBWAsd9DE33Vu+CijitjwHja0GtE2HjiTCsvTFfvwennK2WqU51aHxQ4pr38xZodGzqmI0zR0K/FpXXhEN6wyP/B3/dsxgfcAdNUUuhmZC7NqP1s7krK6iTQPk3yOCo2zSa/gpPk+9e5q2/gmzUUwaZD/IFyCSQV0GeBllknx8FMhSkN8glIGeBtAI5EqQRyF7EmQn5qWNwJnPSCzX/7O7yzGCQR6IeB8H0X/vxaJiJlfb6hyAj4cFzvWqMQYaB3Jc5T9KD/2fvvMOlKJY+/DZIUDwYP0FMIObIVURRzIDhqkSVqKBkyaCIgKJiuF5zuOaMOWCOiCiCORAEAwcOkqMEAQGlvj9qlk0zuzOzMzt7ZPt56oEzO9Nd3V0dq+pX/PRtvkFK4Jk20Hd9ct0umgWfXm/J8PeWnNqEAxh1ikK3d/gqSvMeS05fQgFSEjR9MgfkCW3bdHNbvTVvszq57oOsm/N8aDTlWJDvXb5bCaQbyFwU7KhevA5XroT2XwbVB2jszR9BRllt2wXE9frnVcPi/P7Ik9BwLYtBBmOD8mu1y9uoyWm5iRtnyeRTGeQ5ECCxlHwP1Ln83rP9o0W6D2WhCJ7eLJGc5+bm71vr5AXWmtQfZATILSD3J7w/DuRrVIM+H2Q1anacui5/AleszFYX1ALmAjQMyyqQD1HE6Rp+11jUfaKL/378ZKQi9CZq+i7aHAf7SQX8seOx45dw7jvOmsDe65LL+EPgwiVqKprJVNVeixlFCJQiFQ5FzoAnZm0XpIF/Q8/6+SkrqKD0UhX1uyjXwZSz13OXOtA/BXK425IwN6TOE9rwv6wF5g7UN2an5O/2qaumEe0+97L4qhmHXXnnTQxLtqzF72lrM3hIhvfeIsQYZeH0X7ZA1FLH2jCcAXInDF3ldrEHORfkHX9y3O/PfJvLwKkv2tet72yQE5w21tb88j0Rmd+Rbt650eJ/Lg6HPvt8tm8NTf6OQ5rHIMzDiduaUoe+IA94/Kaq9d1CmPoWdJoTsN/vXqhZ5fCEZ2+BtHGfh59LK2cTOJBDQV6xNvW94JD945clvWfCj+NAKkUhhzm080iQ6zL8/iVIwwDL2w71M+2WWz7u+xZkCEx5w8uB03ltvWIlyHvoZc9jKMLmKC1DelkHK0FRaRuAHIyir++AjUkySH24ao3ThT9IO5BX0YPfe+jBc9d0mU1dRzqWujCVfgKks7d2j42P8z/VPUSnjgntmhBXcKQkH+ycg7Nn9gls+Lp929Qb4+cCYWvApyhShv6PmgHPDCctSN2Ww2DxunH3VtbQVUHnD9KCHIFIygOBNIVffoz319lvKvCHe3AO72U6TWiNngU5HmQoGi9ttbVRvkPBHlKDwLr1P0ic5BPLazgru2w1HA2XTIGB8z0cAA9Hb1Ifw0YDlPBeZWuR3CVqOfDehxk3nTuB/B7/28vttxwIMjM4mQrbt9XfDS0KEvESAWhf3PjXYuvTl6zpQw/tv4Hs6K3d7eJg5UUT+IzXzWDCt9Wg83cB+/3WQa0VBiU8296ax1yHMQnr1h/kaEX97L/J68Y73H70Di6CWunY9r3m17sUus0IULv7iCVvOY1Xt5eLaFikJSAHe8vft3atImrBkeY/mPKeseaQJfBmD5sYmH/ArDXoxUcnsmhjk9eR/nNh0q0u+uIpHCxr/LR5OthPV4kf7DIHZ08GkTlnC4hM0GO4vAD4FSkcipwB34xTUhu6Lw1bcFFty2EB5/kCOd76lQdCb+u6pzwbgZqGhWIe5GEhrATSEORKPYT527BpTJ7U+E2DBJo4agJT+NjZ2shVzvJezPRrKchFLvI9GeSrqGUgBJmqiJoQVdC/Pd1+VwL5M1tbp38XjbmMc906f4dD/FLUPKrUy8HAuXznsZTt0OfA270gHkyeozNTQk3TDvX/fXC8gxyAHqB7pTxvBfJ+vK+yH3bCvNAoNI1CDgiRn4CcGlR+WcrqiF7qbZ+9Lm76N3vwcZBhXsZhEPUHuQfkqgy/VwMZjWpED9B18cPLYcA8teLpPxfe64+HS6SU/GujSM91srz3DEiHoGTeHuynj8DJ6+C0JdDGEQnbb5n+x0oxPuDWSJEz4JvxPC04aADwegHmtz2qodk1qDyD4y24IKcge6CImyUpzytZbdox/HrkauaSfcMWhLYCNVM9IcPvJdbiNA2Xt7cgN4DcELVMhdO/siq2GdC+7rrIvY+T/OK2DZP7OApNYElt6Pl7ct06zYFp71uHrg7xw3BJbfWbHLZR/UmC0FA41XvYOjeHPpu2387a8F5Y2O0uu1gy5oiemS/eUXPL+SCX2Pz2NEhPL5tzfbdjaThuDpnnUfQCp6o1n+2MhoXZE9VyHmDVtR4abqchyEmoCeGZqCl3SxSVtQMaDqcbyGWoD9rlqJXH1SDXg9wMPab71Fz9ZifTzn161hv4uNQEOQS91Ds883vBHT5RE8ylIAf462N/hwWQE0EmO/x2EHrZ/hZqTv2+Nf5eAWmbuofwL58yDOT1LO88B9LOud7Je6PsMp9NU+i9PYuauyIFSeUMHTQx5Q158i8ItJ3OBSaKsCzAPHNOAQWPTUxdgOdFWJP4UIRNxnAJzHrfmG7NYIedgw4inx3BKzU5BYF1RkqLp2nD4UYb1C1PSIzjgNOAiak/GMMRKPrnBKCBpCAVZkhNgMs98FCe0u/AjsBKRaL78QfoXh3W/ekCZTeGEDrDfXHThsPAJnD7bvlE29S6vT8SrhoAc2fF6/Z4mTGcCPwXGGDM87dC81Fw/74Wf2dBj7E5jF0rOc2xpd+LcIL3+rDOGDrArHeN6X4BVN8p89i3Q7S7aj38MsJHZbykBsA3Is4ogdmTExqfe5kxhnrAu8AgEZ5N+a0SGqz7SjjsP/ZIipueNIb/oZCqFq2uBN9/BrfuC0tKYeNa6P0JPN3DyjMTbZP59wP3sJ9HjzjZmC0BuDe5pL88vGv3zTowlbzuEYyhMlADmJf+q9N4qNcYWGQMnwDjLZohgqTnH0N13GNP2K8eNL5R5PSpTvxoSgwiHyvTN3pjf+BtEX+I0d7X1ljadR702M+Y2V/A7JkJKMd9gbusl/ZEBeYRoJUIf/jhMUO6FZhqDOeI8JbDO2nooOl7oxlA3/OMaT4N1tTNtHdIR0t2Wp+M60q4z7OYislFivoU6pfyqAn8gmCdwF/HhTlfeW5PNA7VPJAj7H8vqQ09VxTKTVbuQC0ljeDURdB2o/oIegOuADkb5OOUZwakq3Vr69o8xfo2psnwZPZYXogE7bylXXKN1gdyO8jl3sv8+iG45Lt8m8tg+YA6/GZALoChDiAKuc2F4ZkduY9JlXxTfsIz8NM3IP1DbvORIDfmno9/EysUQGOx+kbZaSDkdCxzb2dtxMAlKHLiM6jW9mE0GPZU652bQK6ztGdDUZTPfiiYR1dUy9teZUxagJyD+naejmrpGoLUR4PRH6KItBeXpfsEHnkAOWhV8ym/IHVBZnvND2Rv1LTzUdQcO9b2vbRtxPg3Tw3GtBj1p14GUje//WBX7+7L1DRSBGSGJV/bhc+LnGH1TxqarfX7yyDnp4zhBL//Mkl2/5gu0EGy9amdJrGo0StSIVDkDPhmPE8DCGQCyIkB5bWTtWHN2V8n+PZ0Wmgu/g6Ppi4gzUEyoGMWlu9IXJ78mLkEERhXSkD+iC1MxM0/p4Ac5EPOLgB5K2qZCq+vZDyWz461eRjr4dvu+AibgcKPnxVBXSuDrHfatOg7XX60H7udJ4PUdP4us/l3OD5QuY19a5O+jAyouAG0+bsgzfLd1wnlN9JDxKudM/hk3o3lY+W1Ta3D3dPh8F44vkXKyyVzvcgvSGMcQNu8md3aHQr7luD9pm0AACAASURBVPmRfTjv3dzGTKxPLpsNl/2a7z5xls9rNmean8LjR14GGenw2xiQlsn9PSyBbzswl+kCzQUu/Bu6LYQ3J6ov46Bl+u+bE9NDOvRZq+8W1j6oSFsfRc5ATsznYcEB+RgbJ3GfeXUGeTXqdrPnrcUH9hPSlStBJqMwzI4b0ZR6voeNzx/IjiCtoN98+01r+YtLE6DvzyT0hv1IkJ9BHnLb3jZ5Pcw/OAYlyGsgLaz/P4WHUAggp4J86qPMxSB7RFTfySBHO/y2n8KS28ngwAUoGMJ81ALhalTrXMM9gNJ1J8OwtUHNsUFoNayD/LeEEHoA1a4uJ6LwPdYcsEQPIxk1T7/FDsLal33XufcJvPQH6F0W9SEtP+05doiiebr1D5cuII85/+7bJ25v6OpwWWMv+yAVQC6H0qXQZWFy/3ZZWF78xwotDh0aasVWI2rNk831/7Hxl3jwcwrrcLX1zpmToMuC5PY+Y539OG7/VyG1S5G2TirHPoHg3z7dU/oL9XnwneJ+ACecBfOmG/N27UKy3zaG4+HWo6DfArirVrIPy7tN4Kb9gX7ATcbwMPA/Eebrt7G67V5L/XvOeAiuORpobgwVgfrAGRYdAUyEVQthbS1/PniFlgLzTf0YeA51DugnKT5AbpMxGKApcLuf78tJ+h3YMcEvaqiHb2M+ga6TMdRA/aGiks+p6Nj5NvGhMVQFXoQmN0OPjun+Z683htvmALWBo9GxOED/37cKDN0uu5/RiFrA+yK0DKYqufjfbkkPAc2AEcDVwfAVm8uOvxOOrgYf/9eY/PrZGMPZwBNAaxE+NWb3q+znlroHABvY4te6ujLM+gPOfA3+r6aTj1Dct+mumJzsk6Pfd15T+lrjpn9OrwGnPyjCLS6LqQPMdvrR755DhN+MmfY9rD3Ejewbw27Ak0B12Lc+vGDgR8sH7O8NcMcx8LBkLzlQf0KfKZAxn3NKlp8df4NBDxtzyOkiSb6bCT6BsbW9E3ANcC1QAfu6TANuAdbUgzu3TW7v+tvaj+P5y2BtjajbpZi28hT1KbTQCQ1ncLb/76O/ictSv2Osm+czst1yoghud6Oon8/DYy3S69Z7NcxaiYbBWI76n9wG0pQt5o6F3Sbe2i93TSAat2mx9f2BOfbngWhQ7lBCcBQCwTePQKdvoNP3cPlSj6a3BjW99RBbTZqQ4rOZ3/rKFSB32Dy/F0XQM140FPp+20n2t9AXfYvlv2X5702HXqXBxUQLZuyD7G6NmWODaeNo5yTUrHkxyHHxZ05zy2W/gvw34dv/gNySvYzCM8MPu39Q095zPPTDM4SEXO0hfNHpqPb+BpBtHPi8AuQzp9/j70WvhYPOR0EfV5rq/MpP/43wWteUdn0H5N/6/8TxUmZpBHsLtJHkfC4WNQkVSTYdjZFTPMB6Y/4p+6AilV+KnIFCJ5A3yME/pJAXXpB/WRsP14uk9d0OIP2dASmuWI6avjqazxWS70hubVhSG3os8w8qI/XQsAVPgvxFjnDYIH1AHo26XUJub9fAIg5t9B1IfQ/vDwK5Ozj+PQevPpMUv0eQ1qivkc+4WU7z0pAVIAvhuyfh0vlhbFAsk8TvczVJBDkfNZ3OGVAiynkapA0aa/Go9HZK3ST2iAFqDNTfT3gGhm2AM1/3DzDSsuDNz+B4v4HK5+ABCAU1y/cE7OWtHs7rHgqoNgpkAUjjLHxWQEMpXJ/5vWj3HyDHg8yFL+9VWY1mvXduh6v+SJw/rDY9M95XbVYnj79BAqMFThdoK+oLOD0hTyefwdR8Yr69/4x9UJHKL0XOQCGTDtB+v8GlU/0O0EK4ibPnSw63Nh4t/OfR8uNCrFue23E7KF0CZ7/pLdaPGDTY9lKQtvpsxiRoPc5PnMb4YjJoKbSdEOZi4uYg4+ew465sp8W8wRgPffY8NrGgMrz/JEiXYNrNlzajliUnxvq7Lqq9d32Q9cILyAF6SAtv8whyFYEgcMpokHtzzyeaeRoFaZkPcphzP10wXsd1w9EwopHyVfo7dFvsDfQk40b4JhLAdsIavz7ap7pebA1d67V/0Ji86/CATGodwPaMoJ57oSB074PUcPlNDYvf05zfiY3zWCzbYQKNV3tFsPZRHwMyAB+XzCHwso2C4tjJz4DFiQdpFACsaUL7NdL2GibxGMCDBD4TDfp+zt/J+aWih24Zl42Kh70iFSJFzkChUnBmS4WnCQQ52Fo8XAVtLk91i6Ate4O85vGb6tZB5AesoL25aLjyacrmpqww+XHerLdaF19oM29cUVj8az301/cgDXLn3d94IQ5WUhOkCgqK0ieYvnTSSoR7KArwELgTCpLSNLd88j+XoZdAc8liAg5yERaaJxoY/RENUO6NX+dxeecZILdYh9Fv4dPr4OLZ+TJTs4fPl4NQc+cVIC9C8/ft69vigwztVh/kew/9sS3InyAVwupzh3KbWYelIV7LRk3V54PslqF9GzlpokKqT3UUgfMbkDphyokLXuqATFKQLDv5afwKChKzv/X+OJDT08ttMEbXmOHWQS/Whg3G2Gv+Gs4qHviKVB4ocgYKlYJDfSws/zfUr28eAfg92Net41Zj0w5SCaQMD35JqAnuryD3g1TNLm+DF6NomI+D3IEiPPZF4cfPAWmkWsj8bGCzmBFOAvkQ+s8Nix/n8oeL3thmH2cgHUCe89DH60Gq5c67/4MVilLcFOQeLD/AcGU73ENRUIdAK68m1mFqJ/955Heetg5zs0H2dfFuPyxzZDQ8yjl+ZSmLOWJFkMbQZ1b+5hO7du+zTq0r5HoslwL79y6db7030G48oIfnZz30yYEgv4bR3w7lVUF97GeTQyxikJtRXzbbA6T9WI4dVIK21JAjUPeGpPUtuzxmu7hze/mYmNe7fVGLiYGwS50Mlg+DUA2sISH8kD0PQ1ZAx6+Lsf6K9E+hyBkoVAryJjw+OXX6Xv3lIjsA7oveml8aXJ6xuvWdC12mbE2Tn7XJ+Mjluwakp7UopWlgs8RpbAFyibVYXY/ekI8GeRtkIlzp2VTKf52d+OzwFcgJuiG/ZEpY/FiL7p/pfhplku6Ub79xRcGQvnXZb4eC/BJM2zkdrE5Z5ALM5S70kD0Ln36APto5JG1uMD6BKe1zD8gzufPVcDT0/FXDCoR2ALwKvQja2+X7I0GuBdkVjTO7bZiH9HyaxjrXo1Ha4c3uAAuyD6pxegFk+5R2uxlkuId+ORPEUbMYsAwcgPomv0IOlxdWXpVAvgAZ6K4/HU0Wa7srz/7gBtIJSpdDu4luDpde5phs8u4M/HLf2el8d5mml6tb+K4E8iNIS9Qk9ySHdo7FbN3Ovj2Kmr8ilT+KnIFCpTAWWfSmdS7IEfmvj+yD3jj2DCHv7VGznb2i7rc8tmcFkOlkceC33t0B5EXUrHB/+3f8y1s+TdnclOX8TmtXB+bsPJz8kWr+rhb104iZ54y02bheudY6IDSPHZ7QeJVrcKFNA2kL8nIwfNttVAZIsnmRownrDVadjsmfjAe/uQnicOlgPrgdyE8gF+TOo+wGs1bByS8EqSlBL4Kut+YN13EIrQuAASAXg7wSVDs6l5ef+UTbuXdZrgdOkKpoUPYfSTCtRWO+tfKQTw+Qh4Kso0M5HVAf355u5iCXedZBLxjT5of0/nRCq0w8UKWOr9izphPTTUs7lsL3z8GvM6Hzb9lk0lo7a8C577iVs2wXE15k1jr0zQWpl/DsFJg5TzV9F32briUvqQ3/fkvXk+JBr0j/HIqcgUKlsBZZaxOQBvcebl1kD5CZIP1Cyr8rHv3iCpXcm6dIC5Cv7Rbx5DzOeRt+LQO5jwzmMbnIW/Q+gV0WZPcJvGQezJyPhgupkhsPQ46HAZuS82+zOhmlLfb8nLdROPUPrIPfFygCn+DCXwXkRpCrg22/a/6GcxfF/UsS+bXTgEiVOER5tEAdudffabPWZgLIv0FOBjka1ZTUQv2LKsa/zwho0wD1raqVex/1XhPkeLIOgLeCTCaD/5bDt0+iADJjSDDjD0sD4XBZsQlucgQgyZxX2oG9Nlv8/Xr9HNSB01qHlsDr3bSsoevUd9I1UvN/QIaGJ/uyPcgTIDMI4SIYRcudCVI9c3/ahTEQ0VAwL3dK9wdtXgbtyuIXbXb9dfVfcP7H9r91m4aG3vgEtWTYoIfgIWvs+Wj3eTLv9cbACQ4B12MHV2/aa5h4i2r7t8hlIw1vZTevFE0+i/TPpcgZKGTSwd9kApy7QTdtDcYEcAiMIftVzk8dpCYKo35FSPkb1KzlzKj7K5j+dhXHycDPP8CFn6SbxNjl0XWh+8PciI2q4fKLDhq+SUpyWS0+gJmLQHbJxg/ILqh/47dYgDg+Za5Eg2Mn5d8ou8+IVAU5jbhWTUDeAxmM+mpWSOd/0DJFZwzMZ6YyyCbnTcvwv63x9AhIL5Dj4Pvno46zFZzsONV74GLUr+lTq/6/oOBVq0H+RlEelziHpYltBuVaNDacbw1L0JowVPNxL3pptLOP799ANdKr/Xzvj+fU8fvhYNSX/CBveaSOyctWK7Kp3KxrU7AbbHi4WfoFkdvLNHkRpE047SlHoprqxwnAvzhDOQ/ClNecNXktxqkvoJ18d/8RBi5M/214wsHvapuxK6LotZf/bv9br1LUdeJUkP3YEi/Y0b97PchnMHYItPhNrSViqJyJ/dpjeXzdPeVF95rAktpw0azkvBL9yZO/LwLgFemfTJEzUMikk0WnOSFoA8fjwUzFO8+xBeDUl+CXX/DgF+GjLg3Q2728IqqFUxenyf6EZ5Lfe66d+hukysWwRtD6o1wWDGujICA1o24PDzJwm7WBcmNeaazDzVJUu+F5s27l8RdIpeTnngKmP4Ki8bVAtbQ/Wzy9AB9dCZ3KwjG1k51AVjrL2knPgRyLmoo9rM8zm2+VJ/KzobL6ezuQ3ZyD3MfMwqQS6iPWwz+PTgfVHr+igbx3zfx94hx8wjN6iJeJIDv4lJkJ1hiLOqzQxSgS5cG59fUpL9i3V+4XWLmZ1ctXIMcF3GaJ812H8Puo0UHQf0Pmy7BM2nQ72U88+DnPRV7b3pmP/fcDOVfDcyUeQGPWEMMEGs2B8b+rprf1eOi2DLqtcjNn2/PppB1tMa5Qw3wVqUhBUOQMFDKFdQOE3oq9HTy/dpNqzxXhaoXkMZAhUfdVMHVxmuyvFvQWfi7INOeFcNhaGLwilwUDDQXwGVbswPJAqIZtuhee0TiVP4I862dzbLVTxs14lu+vALk15dleIJ3CREdETbMXuEO7k31BlqiPin+ZKiTKVfOjc3Is5lnMJ3R6Ut+gIXCWgeznj0eneb/nT6imcpV1GHoHNRe+EA1pUNG+fn3XQeND/PBi1WcaerDtG33/yUVW3bPWJ4rNc44IvEtxGaMvs3zHLgBOeRGmvotaPtj6ggdff3d7FqeDt/33qQcxe1AZP2M70wWAtqGT5rHJROi+NN1stcGYbJcJyTISO1i2cFjTi5rAIv2zKXIGcmLepf+W//zDWcRAqqFAKjn5rqTnm9/JCtVq/A7yf1HLQrjtd/xoFNxlb5BLnRem2OLj+ya6CshGFD7+4ajbw6Ms1MejPxaq3bkf1SQf62U8g5T63eRb3zcHedP+t/A2r6iv26/6/4xw/VVQ88F+/7RNSC6aH8vsN1ULv5GU4NfabjIJZBt//DlvZlHtTh1Lhq4BedWSx7Vw+bKg+wo1w/wLZJ+o+87ipyOULlYtjPNYdZZb59h+ufPmb6wQDyyfgxlxqtxMFzh7AzT/PF9+vLnOXfayn+gTGKtX49Vw3kR7AJUgtbqJB9Ck/vR9UReXkcQDbZmo2WlivdusViCcg9+Dtmv/Ceb4RSpSKkXOgG/G8+CsG+bmC+QhkCuDbZP83rxaGy3XcZgKnVxqZ8bAxV873xrmAvAie6PaxsNBZkbdHj7kYSQ+/LFAWkLpMuixzG27oZqR+jnwegjIz/a/hTru/wXyg4v37lJZE1MEJvDeN6gf3kf4BPrws5kFqR6G1lYPl+6DnoffByW1oeuibPLo4B+9CH6djQblbhQOb97HCshhINODk01/YRhyvdgOYu5Kl/1d6iiQyrB1GuYqXwfaktp6AE09nLUrg2YZzcLdyUjqAbNM9Nm/l+ghd3rC4TBmfTBM9LeSwGW3SEWKgiJnwDfjebgdt19QOgYSPwqkIQp+EFjQ53xqDKzb8BkgJ0YtC8HWK7YAdv4hMZaQVedDQBap30UmTYG/21DUv/JrawO7pFBu/j3IRMwfq5v3b5u86lZ2tX0HLsxlQ4Jq2v4kxa8wnn9Y8PvSCGRilndaouFcdkrmqRiLystFl3WpsoQEKPjw+QtuDtY+b/SsWh50mVwofe6ljg4AUduAdEYtAD4gh0Dpzu3m+QB/Dsg7yd97O4gly6Z3P94g5p3ggXZkZ5C3UK36nvmXtRg66CmL4Jwt4Hy5WdyU1NZ8mm+IhxhKzOeUhAuOf44/dpGKZEeRM+CbccfNwFXrQW63NlsVcy8ncUHpNwe+ezIY/rccogK7UcqPdjTWHhd/B0N+L5SNSfDyJdXQkALVE549BXJVulwEFkesGZaJIhr8uFPU7eCjDoegvjV1vX3nbnMfpIyjJnwOcRvDgt+XpiAfZvg9Fu+rQdR9WYjkHXxCOqI+dY7hWYLlLxj5DGsu92ZybRveoQb0meP2IJ6ZF6mEhnWYg/pX5i0Gpg0vfUDus2/39uv0IJJNi5com84uA87fHx/IBULyReYQ35gAqIn/bGs/lXZZFiX51/jafTco4SD4hygSvPjuxyIVqTxR5Az4ZtxxM3D2m6ifxmSQRSAPgpxBACEZUL+wUnj7siB8EUEuB3k02HaJLQADFkP7ScEfALceszTrlrq59f/aKBjJjiGW1x0rWLH1/6eibgOf9RiIIhq6voRxb+YXpKZF3gU5J89t0wKHmJpo+IivQPpH3YeFSvZz0MWzM5gNG5BXQP6bXx5zu0AIw6rDy/xt/26vlTBrpQLkBMcbqpXviZrCvwHyr/zLldym67Fj2IKsa11ym/W3vomBF5UltREa//IEq94PgEyC4X8FeeBALUp+weNFszVmeliXUaGgmAfTZ340vk79G9P4dZgJZ35S1AQWaWuhyBnwzTh2sV7S/LfqojHAJqFALE9bm7Dt/Jd7/zkw4K+ANBE1UWCV7YNvH+kL8kCwef6zACpctOGgWBuicb5uDrm8a0Cus/6/PwoIEZi5cB7brQIaGHiw+2/cmV6nawy3oLut8A4yIneBDMxz23QAecbhtzvROIrlrs/z24aJm79Lf4Afx2VqM5Bd0ZiDJ0fNu/s6Bu/f7c2M0+nd018OT0spVVGN3AIUbOeI5P4OBwDOKvtVkNaZEaKzr3Vx88W265PbZ4BA+99h2nuoGexa68LnEavOJ3uJdeehXn1AXvTwfjWQ0SBTyCGWq/vywu/b5PIcx5W1fjQ7HGb+Bl2seIl2gDH/3IvvIm19tA3lNImsLjPmxath5G1Q+iMsWgDThousLou/QylwK3CrMewBNAMuA54whrHAq8DbIqx0X/JTbeDDilDN+rsa8EBdKB0FdPBWBxYZw6fA+cDjXr51kT4HugSb5e614vWOpWpAzVrBllMw6T2gtzHUANoBB4dcXk1gqvX/mYAA+wO/hFxuoEmEzcbQCfjKGN4TYVr2b1aXGVO9sY6jmrWg9gHQ42WRp8qS31y4ANaicjcHuAe4Fli2EzzSHvZoacyx78OMAYlzgUP6GTjCcwVzS9XQCiQlY2gBNAeOEkHyzFO5Sla/dgAwhkrA19bfT9u/zzJj6IbO+0eKsDpfvPpPiXIeS2vRdc5v8jJ/O71bfef0sZq+9vpJIvwJ3GMMjwA9gA+MmfYNtD4C7tkrPnR6HGdM9ca5lpeSagNlzu1eATdrnbbN8Wvh4arJe4TrgR6L4dDHgMnATBH+TvzWmG/nQI+jdD+xpa6lMG14DvV6ErjWGPYUYV6mF43hIOAVdDwdJ8K6HMp1KKN6bThslMrXrFVw7r/goX1C7tuEtG6Nw7h6R2RSB2MYDbwNL/wHfrTke/YqOA3YY4egZL2YiqlgUtSn0FwIRSO8ycd3u6CBqt9A47+9i/om7Jb922BvaFGY8QkhtE0lkD/wGaDYPs+tThNoUBOlV0HuC7esktrQfy5cOjXB/+YpkO5Rt4O/ujQcDd1mwBXL4RDPMbLQGHnLQfZOzzumhYiZ6vhF4pPG5DkAN8gAkDtTnsX8AI+Nuu/KI4EchYYnqZnlvYcJ2Pw+vDoFr23zpglsOyHquV61Up2/ywcfqEXOLpl9xtwCj+QSqzBRMzbkd3itSwB1uxvkBudyGo6Gd/qgvtxdMmnVg5Vpx/APAYP7xerZ4gMYvxy6LbYbV6j/8HRysBQrUpHKG0XOgC+mtwzswSvg/I9zWxilBOQCkOdBVqLBgPvjgMwY9EHIOqwtDsP0AjXJaxJsu289PoFWG75k9XNodXRu1w8Hg7wQdRvkXpeevsAJ9JJn6tvp4BRbzAFXaBmZ/W8y5L83yLw8y9PwxA0ZcT/AAVH3XXkmkBusy5pMZqElqCles6j5dVenYMGJ7MfmpQvSTa6lG8xcBJ1/i3quz0fYI5Adrctgo3/3PxYGbIBW63ReKfNU/6D2CCD/RsHjPMe6TMnnAOuSqaqzHPTfBPedHW5fpraLE+jKpVNB9sr1MOog7/OhpJENYm1d6xB8ZD7lu0hFipoiZ8Azw+HCt1e1Jt5HrQnhG5CrQA4Ks3yQW0FuDL6t5GaQa4Jv/9NfhmEbtwaoepBvQSTcMpw2DU3HWIt3hWjbwJ3fBkhFDSBtV5dz3/Fe7nEH6ubEHqlPeZku0FmS34nd3GfeKKK+i2sJwSc3Q5k3YSHMWn/fAfJ6WLfvhSQfIbdrVWvDfH6W904EWYgLq49/IsX76pLJcM3fMH4ZNH4l3nef3YQiQu5XCGFJ8hMKSuqBTEn4+zyQ9yzcga+g7zxvoSKCQogVA/IxSNcA6vguFtp0VBY96Qd6J9CV/nOti/H5KKjT5da49aShcw82JpVAvgTpm2/5LlKRoqbIGfDMcJ4mMDSW0akg96AAHdNBRoEcFV8cL52aGkvOZ1mHWhOe7Y2f/7hFch7I+8H3wS51dAPRerx3MI7oN4we+mU7NJacgGwbXjnOt90gM0EOj64NnDY0+9QFOQI1q74b5DOQNTB0nX1dhq712oYukPoaaeBep3fcmG7JZPKIRmi1VT/r/81BykB2jqp/w5OPSA6CDa0D3q5Z3vsPyJjyfPAOoK22gZkLoPcfKRqhjTDoOHf9Hv487gYALoC2aAHyesLf12Jp60F648MVIKgDNMgx1t6gWo51PAvkOz1Yhq9dtechdT53Bl2xDsB1QNqiAF5fohd236AgbR30okKMQyiTQxQhPXs9USuCd7bm+aBIWy9FzoBnhiOYwFCNwbHW5uFXa+N2B8hp1gSdczBikC9A0swxctlkQZejYcQGaPlxcLHscuGncDaMLvukN4rWOBGkaXjlOF9sgDwUOzRE0wZOvF29CeQnkGdRFNVTQXZyfr/vbFJ84bKXnQ2p77KZ0GeV/Tut1rmTSXkJ5MI8ytQjqN9NbVTLm3XDXchUaH7CaEwzW/TVhHeqoOiHF0fdftH2XZfJfvou9zXA2+ERJoyCPrPC0kiifrp3Jfz9FkhL6/99QO6Jtp/keZDhOeYRCxdxQnSawOfapVt2NC/TwO3Z+xZkW5Dj0RBEL4L8BqUroM/a5Dx7r4HSpXBJVn9Sa91aQIplQHm6rC5SkXKhyBnwzLDjBNbsvfyULwbkMJCrQX5I4COnWIRoXLiX3df3gvEgR6NhJtLMBcOD8XbiZ+B81OQkAw2cX0gbxiz9Uck67B8LMgLktvDKcu4rkDYk3FLnvx2cDmKtx3urS9sjUY36qbnL2kjr/91mQMsP7d9pMMZlP98AMiI/bVlSWw/DXafD5Uthwqhwysgn5Hqr8fbyEU0wZVR7PxNe65KpHUCORE3+94mCz0IguPAzP33nPC7PfQfkIJA9QXZKXQ+9xymM9d/QVfBEaPHqUO18/4S/F8bkAg21dHe0/SR1UZCsnEyYrbq8oG3b54+g9wb2Zcb6sdV4uHIlXD8kWD/Xxq84XDqWwdgrMvm1Qod6MGwtdP4hkZfydlldpCLlQpEz4Jlh2wHadSGULga5nwDRMN3xI8dak88v5BCLEA1EvxIu/lfy5qXDdPuFetAy6xC6FGQjyBw0HuJLIHdC52/DOHA5Hwo6/4CanGSgzj/YfztgEWreUTB+OiAXYSFHwkPn6QIWZpyq2GJ54WcwfD38798WHzVQ5DrXgdeD5avD517lyBqjn0P/BcmLq5xtHayru2+TzEh9uS7YIBeDhH4JkY+NRb43LyC7wKBFhXaxA8+0gQGWxqFM1DS49TrVOCTFkR2C+lxF6nMbXTv50wipG4BIOg1ZA/IzetmzEmSTtTb9rs+GrrIvr9VY1LSvckRy/AZIc+v/tUCWsQUkRvqToCWMrq++fQx6/pTLGoQGqF8B0gl+nQONng3T3zO8i+jEC4JTFukYT5XF7j/rXuzX2WoNNXg5dJ0Cr3RiCwpsqil0h5mw+77w77cKbU4rUpHCosgZ8MW0jb09evP4kLUAtcwvP/I4yJXWAtILZCyKNvaqdbjZMZ339MkcJr8K3ZcmT0zn/O3CpKEKaj9/Iqo5GgR9frNfqHO7oc/FlMT5245fWG21ErX5HwVyAik+kvnzQ5EKqA9okyhuBS2ZmQpSxfr7R5D6eZbpSiD3wa8zodMcr/VH/VHfsnn+EB5g+rX9G4zJhNSXi/8NyHEgX4XfnvkAuMifmRfIwSAz4av79RKucG7N4+2QOXQISEXUl3WrRGbVcXPpArd9h6KrXgHD1rmVMxT9dieQvaDdF/Zr0uUrUDCaDSBz1c8+f5twDcz0gAAAIABJREFUa6490vr/eSDvJfw2AOSO6PspN7/I+BzZb55aUuQeeiJ7mcHPR/br8QBJPgim7Y/+D+Qca18xFmSVMyjNiI3OqKXRWDcUqUhhUuQMBF4h5CTUV2kMyJ55KvMoXbzihxbisQhftw6E78FHQ+Hi2c6bklZj0yem6QJtVnvfhIezIQzTJ9A6eJyEIih+j94gvwRyqcJ25+cwhmpyvwYxUfhPaLnyGnFwgntArsjjGNoNDS/yFsgOXg9Z+n6z9+CKVekXHVICM3/T0C5e/ILCQSoE2Rm9fAgVFCA/UPdOZQxdB/I26sfcE+R03ZT704Chpu9L2II2+P3zcPHXUaJI2reD00YvaYMYg4Y/NEqeo2urXerAVWug49dOfYeGUBhh9flzcHtTP3NxtrkUBWPbBy7+Ll+bcGuuXYNlQUQCKIz190CQ28Np++yXmsrf2W/msgbZr7sdS8M3FQ9+zssMFuZOFkEOdT7ojdisvuZFTWCRtg6KnIFQKqWasWtRs47LyIMpHcgEkNYOv5WAnK/+QHaTy5AVIIt1AhKbianJRK8b4DA1WLlpXtx/C7I7epB+Hob/mY+J2doUfMUWYICokNSkpsqENLAOpfnyeT0KNS0e5WfcZD/ol9SGS+YViuZI+Rn+J1w4IVztcpSawDNfBzkXBfB5EDWBXICi7U1GL1puQE1jG+KAVmqNjT6oz1SjhGfzCSHOae7t4O5GH6Qripzo26e7PBPIUJBHbJ7vYs0Dy0CeADkw/pv3NcDtmpRnjfauICsS/t4CCmP9PZgQ/MGz+IEfjFoUvQiyxBlx2d0aFB0QTHDlJsjbings2MR8z1nkck9RFeQHtT5ymiuLPoFF2noocgZCrRxyCGru8znIYWGZE2q+zb+CdhvVRr3eGPtbPacDRYev9MBzwjNBTtZhaU/y2H+7gbQHeUrjEtq1XbCHMVRLMgNLSxIl+iHIhRYvtdDb6kA3qenj4d2+qFbE9jLDXZ5O7dVjuvbjgHlRtad9/fOlXY7KJ7Dz3CzmfUehJuRXg4xGL0BWWRv/Sdbm/yoUqn0iSClInYQ8jkTDmHjSpIZp2h1vh+ESb4sy0c3jMIGGs1K008ba/F+fbxksBCLud7xDwt+3oGAkD4HsG2zfZF6ToKQRNFmjfTVS1BomNKuP+noBEONr2AaNz7rFOuVykFuDL9dRo7UeZBbIY6hf+t65rkHRXWTamm5ugpc75Z5PzDfcXVvE+7fPb9BvDux7WrrrTTAuBkUqUnmiyBkIvYLq39UDSpdDzxXhOCm3K0u3UW9e5vWGU/O6uCwfm9JCJNR/5GSQG9Eg7atQs8iecMZredIEjsUyc4v3Sb8/o+gTa3P6krUh+xZL+xJM3nYLa/9NcNeZueXrtOHo8StIJw1Sbfd7/v0t8n3Az8fGIrmMNhPg11kgJT7kbjeQRiCXWAeBxHb6zRon/wNZhIbNqYtDnFMbHq34jt43+W4Pj/pevTHQfp3m7+wbaNW5plWXch2yw7/cyIvWvHsXCh5yL8je+efDbl5qsxpKApv7kstq8ylctlzlcXqafIBcAXJL8GU7zZNtJrprEy/gV9EhqqfPeU+0Qi1c9nefR70xeqFztcS1gH9I3Nw7m/mn02H09fEKAlM86BVp66XIGchbRR2hhHP1kctko56ct5vJXN8ZuAC6TNsaJiZr89gL9Z1chQLD3ID6Blby0nYB8NIANYVMKFfOhV+mw/GR3AqiTu0L4advNK5XMJqT8HxGs110FE5cuahuyPNbR3kY5Kkcvj8QRT6+DQVSqYiCUJ2BmobG2m02yJ+o5vp1kP+iZpYno2bdFtpiSe10H+dB1kGw90yQ60F66LiTf1mH0Qrxb73NAdYmdJYbmQNpbdU1p8Dc5Y3QmJU/W21zG8ju0fGSn/nBrXYJRZD9T9T1zN0FI7WuA/+GKW9EJG/dUeC1rJdTynv7dfb91GKFOx/1wllzilSkQqPIGchbRUPa8GUOaJ2etztzGGkD8kHUbRZOP0gJisB2H2pGtgjkSZB2IP+X+dtwNSkomFCfhL8roAA1zaJtszd7ZNNkeKxnxbA0cu58AgvD38J5c9B/LsghUfZ5cHWU7awN10U+vm2M3tpf6vD7TqiZ8rbW31VBDgVpiaIlP4aa4y9BwbG+cfaLHika91GuQTWPb6MhcJahqJGzodcy+2+bjiGDqbSXuR8N8XNf1P2WJ9nYz+qj5SA3wayVCugUXYDsfF3MOI/9kUllov6SNwdfz3yHwUhcOxu/ArNWgfwFskdEsvcgTHtPL1czAeO4v2TPIFMf50OmilSk8kjbsNWkhQtgLVAt4dlaYNGCcPLdbJu3yOoyoEOWTF+DWfcb03MMbL+DljFtuPVtuUrGUAE4EjjDovrAV8D7QCtgigjiJi+XbeeXz0OA44H2CY9bAn8Bb4RRpvt0YyP4kLiMVQMeqAulo/DQHsZQA7gU6A67bBfGeBBZXWZM9cbKW81aml9cdrP9nt80bTj0OE7bshpa/56zoNtzwHhjeAO4RoT5+ectmCTCOmO4EBhnDF+K8LOb74yhJ3ANcIEInzi81gT4VIT1Vll/Aj9alJrfTsD+sPmlZJkD/XsTUGkbYD3wDvAzMEuEDcZQFUYeA0s/tP+2/pnAH8awEpgPzLP+tf5vNnuQ9T7AFGN4Q4T3HepdrpM1110FnAncC+wP1atDu67wzBnxsdDjOGOqN87v2AxrnU5Nu9eyl6XNqWWahIeBpfg8uPc0KJsGs2eGOQ+mrp3GcAnwKNADGBFGmZlTvdvg5MnwQdXM8ubUTzPW6/ztJlUvyY9MFVMxlcMU9Sk0XxTWzZsXn0BvefZaWQjaEn/8y25orLunLU3CL2iYg39ToKZWljZyWMLfFdH4fGdFz5v/23HUv+tEkOdQ8IeHQY4qJI1ctG1rr11GYfFvtrQkN2KBZpRXAukOP0/TANEtU+qa6Gd3wjPw7ZOW9rBuljwfB+ntouyqKMDTZzBsrf3N/hlrYdxVqDnim6h54p8oEM27Gig7Eegl8duGo1GtfU2Qo0GawccjoOtU6L8QeiyBCzfG/YqGC3ReD5NfUQ2Y9EYReI9BQZiaoiF/bFFSywul+0/efRbqY7zY0nDtEH+3MEzm8jUvZdYEJvkEDiMhZESwPMh+KLJuqOFpHMo28ON4BaJpPT7/bg7O8pYit7PivpqJ7zUY47Ke9RQPolPZ1r7WFalIdhQ5A3mt7JbJpcOXuhnZf79g8j3yABj0t8IUO6ODus+vMBZk9/xKZZBTrA3Vd2jctTGob0+dqPlzwX9ta7O/Y8Kz9igaYt4X6CDkAaQ66ms5DY2b2TexfvrOPwcBLTzkX9nLOuwsBukPUiXquvpvn95rbDZCjdI33X3WQrPDs7RLBdSUe1+ntrc2ubeg5qAf6EFrn7pugT/QuKH76+VRj1/tg793Fihdil4ynQayq/3FXLtNycAfnRbBB4OsTf7/UD/Gb606JSIRvwJyNwoQ0t6a5/bDMoGNWj4zl2cHhjFhFDYXcYXkH5s/ACU7OYyFY9oiwyNARoVTT+kB8mS+2zdef+eYxeGX7yRv501M75f2An0kDgjjFkRKtkN9lNvHZerCCTBiQ7b5rUhF2loocgYiq7gGw74woLx2BVkeHG+FsyBnqHMqoMvXaEypE0kAVikPhCLh3Zzw9zao9vK0qHlTfuw2LP3+hKbNUjeWIEeA3I8i/L0EcmohHGTz3z6BgwYdjvqpzUL9V30FWo+ujZwuEhov9XPhhGrcfrZv+y4LYfonaLiR/4Lsl/ytnxhzMf5joR5iGr1uy9PnycFiX6fBrupoHT4Pst592Tr834pq0z+1ZOBPa4xNAXkX5BE0Nm1XkLPR0Bm7gpj8hQdJnAsajPEGPFK+Lh6DbbOM/vlXg1wXTvnyEj58dYMpO9r+zlC+A4jTcFGAGPcX7GhM1Kdtnr8IclnU8lekIhUCRc5AZBVX8IJJuedTUluBCYauD+rWMuoJ2qG9UgFdFqIxxNqSBdClkAmNibUCpGZ8U9BtBgxaVEiaMeXtxOdg+F9w8vPw6IN6s5+4sey7HmYutDYutaLmOX9tk9fg0qegsfS+BTk96rq759sRkv5PPxdOIMNB7nBu+3YTQaoGx//u+0L/DZkOUiBVQP4F56+2r1PHlL97/IKaqO+PzcUVyDGqZWz8io2W01iHvCOtPLpZh8BHQd4DmWrNK+th6Jow5dP+kHnhJi/9WjQPd5Tza0CuDSHfiqj1SUTALNFeNNvLW7syOG5JciiIGF9Xexoz1v6uFKS6zW+nWePzH305WqQiuaGtCBgmLb0O3G4Mx4jwtZ8MjKleG5qNjQNLzGgPfc8zpvk0WDLLv6O3HWBFr9nuHaFzTxagSz3igC5H4xPQpcBTP+B5qF41uS/XAovH5h8YwT5ZPLQ1hprAU3B8O/hwm2SwmBurwhnjRD67LjJG85iM4UCgOZx4LiwDbkUxHCoAnVDgmWCTCOON4VjgfOBBY5gJDBFhctBlBZucADfmLIC1dXyAJpwNXAO7D7UHbli/QRQoJqC04GT4aTI0+cUJUEiEDcD3xixdB2tL0uv0R8rfZjPQGzgA2MMY5gC/xOm51fBZZXitpQN4xTKLHPveGLaDOR9BteOSf6lGrvKp689ho+CUxlC7hrJSzaL9t/EChpEM2HTEMVClCrxeEHNfxMlAKOtcPWCxRAY6lS8AHvuULG+HHw1/V4N1wNj/i4+1a1Ccpl3ROd3dmDGGPYH7gWYirLZ55WOgMnAC8FkwNSqmYiqnKepTaJQEMhjE921s8i24nb9KLjD+iaYqvX6BKW+EfXNFOqDLz6g/TMECuuRY3x2s29g6hah9deB5BMitUd/kRlT3CmgsxxtR4JIFIP+Dpp8pGFMqOFM9V+ABOfBTGQUVWQTyFMg+UbeRM6+Omh4bn8BssfdkFzTkQ5V8jBvUt2cuSEN379cbYy8PfbJpEQ8GaY76/z0CgxcHUbcw2ih7nLsySY+v5taXquXh6jd14YTy7iscgOxdB3JNCPkOAbk7unoVjuYXZD9nwKjhCXLtyky9IsjHJIC8Obw3IJe9X5GK9E+hrVkTCAqRPMsYdhdhoffPE+GLnwCuJVkjUbsu1L0DaOE150RIZ2PYFvgC6AY86CWf+G3x7rVSQ00YQ2U0LEJM27cvMA7V9o0Qocwr3+Us9QLeEWG2MU5Q1MFrk3JM44B7YOH0QoW9NqZ6IzjsKai5IyxaCdMuEllte+OaST71dyoDJwPNgWaoOmcM0Bn4WoTNxqwcA9eTrBW9HjgttDoCiLARuNcYngIGA98Zw+PAjSKsCLVwjylTaA4fITuaAuNF2GDMtOHQsyHcv2+Ctqw0YKuFvsCXInzu7vXSAVD7X3DzPqpB2AyUzoPfvoGWO2TQIs6wCABjZo2Darsl5+1nTpj2APS4AB6olNBGm/S533TYqLjVQoyva9G15xpUe1L6BzRZBLv8Dst3gpLFcNgoY6o79q9l3TIGhlSGao1gbaNoQkUUTAolRATQGLgnhHxdpcIK1UMpyDb2628ZMAqVZ1fzyhVon92c5b0nYfZIYy59CXbapTyH4SqmYsopRX0KjZrgu6egyxQ/qG3JN7z9RIEH2lm3V7Gbq/brgvETlANRoIV67r+xu+3rNAfGjwB5AwV0+QrkepBGlDNAlxzbc1tLg3Noel9KQnsVnCawsmphOtTLD5S6N1RDS7O0MYWvjfboj0630Y0PAWkNMhr1q/oCDT5+kH2ZhaEVBdkdBSNYCnI5AfrEFRJZlgI94n8/1gKuWB4GmiPqd7cM5AB/cuufp6DmBM1nusQBbUaK/p2LJtBJ5mO+UwMS1qAOG5ORUZ3nCdWiDpdkv6zCmwfzRSjY2fCA86wKsoZyHnYmuPYoqQ1nr4FhkuwLGAOKcTeGQY5FLZj2clfmZasLQRNapCJFSZEzEGnlKamthyJ/E0F8EztdFKrczjQnSAAAaYuiVpa4e99pE9O71Mpr16j7ILq+l8tAXk/vy8JfFFA0wpZhQ6m7bRPLXG8vkHpwykIn1Df38jliI8j7ID1xAXBTaAd4FFlyDMgckItBKkYtMwHWrQIa8mGfhGf9QB4Iqbw7Qe6Lpq7BzAlhXFI4y/zJ6+KXkInPR2YdG1rfVBPS2Dr2zzUzzyJ/N5LFtNBHnqeBfB513QqBnM2ap3vci0l1FAimlbv3C2vNKFKRoqKt3Bz0sFFw797JJjUP1FUTCTXFzJQSTCrGwYd1nE1zgjEpFOE5YzgFBaRoL5LNYd3JxHH+HBGeC4Kn8piMoRJwOdAm9izel7t8An+shumTC9g8ZBxwmsjqV3Ehp/6TncnZA3Vhv9nGOH2zF/Yyt+8+FvBG5Tg1rmb/7k+fi3CGez7tgJQCN0l0nUT4CWhhDCcAtwCDjGEI8F72MVvwqT6wVIQ5Cc+OQWUy0GQM+wIdgUOCzttNCs5kLgwQDieZr7IYrj8++d1qJFs0Opm0HjYKHtw2fR27OUdey3UKwxy0MTA24DzLaXIya24yG6Z5MUG+F/hIhFfcvb7HnuXE/aOYiinUtJUfAnP3A9ONwiWr7fPZTAh+Wv1R/8CuwEOZX40WAayAU1tglghfJD7UvuQn4HYR3s8nQ9l841LSx8CT4XPlND7+WAG8ASwAFgIrgQ3ARpj3AKytmS5zvy0ATtJ3YvTxg7C2bfq78+Z64TJ5s77/QbDHgfBR06gP8CJMNIZGqC/jHcDlxnCFCN9EyVeO6Szg3ZRnDcjug+MqJY+DPetA2ydFjlscRN5+UqJvtv9kd2AbsDiXSwqnA6q23drj08dUhZS/7dYAp/E+Y31UFyoFkAJDB43L9knnwS9fGDO2drY5yuO6UA6T4x6sTGRSmZscjKE9ehFV3/mdxHZctQLqHlHcGxVTMbG1m4N6NwlI95H69DoYts4+n+GhmBQS9w88MvN7JbXholnlwcQxf30uFVBkySYOv08COT6/PHkzO0MR0H4HqRkuX77GRyO4aHNuPoH+5RPEwM8/wAXj/fj5hih324B0RxFNnwPZN2qefNbjS5DTEv7eyfJvytnk1V4eOpYWQv8FU7eY6Xaz92DmIrdm/bm3YapP4IBN8Fav9G9Tx3uZtYads7RQxlH++03+AzIkpH7JgsJbmC4KXv3EM+flzywzzkPbSTD8T7jvbG/t2PV3aF5WaG1bpCLlmyJnINLKZ5lkbSY7Gzj1fhvgvFbpz9uvUyf7cCYVkPa48A+E59rC4CVh+Y2VN0Ih4L/BIdwGyBSQI/LLk5/DlrwG0jZcvvxsXGQ/GP87HD8bWqxQx/70A2ByGcH5NWp+XRcV6uIOUg0N87EM5C6Q/4uaJw+8/x8KJlU54VkTkE+CyX/r8dMBeRLklnDyThtTjZL/vutMFECjcfp3sfFeJulhNgpnHNnXN/hLH5D/glyRez5Osn31JpB19nT1pkIbD0EfTPNxOHZu+wZjwvSpL1KRygNFzkDUpBNKn9nQ5cfEicB+ommzOn6jKkmTctggHfa8y0MgzzodaKx3rgK5Nep2LgRSLZF8BdIywzuz8q2lcQaO6PBlBj77gjwcPm/e5NraNP03uj4uHwcJNCbnPdZhcBjIdlHz5ILnDiBjUp4NC6q/CwXlNU9tWdPq+wMjKv8kFOCnfvLz2Hg/ZVH5GEcltaFdikanXVlQ6y/IrSCDc8/HSbZbj0eBtWyo9fhCGw/hxbz0ssZ442FrmleKVCSvtJX7BILlB/Yl8JoIz8d/sXNYfqQkDvZCwvOatSz79RBBOmxTP+BLoAvwsMM7xwFP5Y2jwk6nASXAaxne2R6NRZfH5OS7uc/hxvA8cI0IP6d8NA7t/1CTF58oK55lJ1TmIkpOPiZ77xN0Sbn464iwBOhjDHcBNwC/GMO1wOMi/BU0rwGls4F3Up41AEYHk/3W48MswiJjuAFmPGTMpXPz7fMlwqfG0BV40xhOFuEXfa7j3ZhW46BajeSvChE44+A74KF9ktfph/aB03zF57VJAfkEOsn2/HkirLMt2MyfV3jjYa+97efX7esYc/xof3OhV79br1gOW8+8UkzF5DVVyP7KVpEqkoYA5jTRbEp5Ft1kIsJ64ALgRmM4MvV3YzDohtxlkGV3yZjqtY05frQxrcbpv9VrB5l/iGko8B+RjGhvJeT9EDhtuCL7rbX+jiH9fVkfmAJ8ZgyPGUPiQeZHYHtjqJ1fXjOm84FvRSiNjoXYgp+Y1gIHNDCGT42hrzHskWspVlDtsfBhe3jlVP232VivY0GEmSJciG5Y2wFTjKGZNXYLJhlDRTRI/Lv6t84BMPxMOKNdMHOA3Ti4cu0/F5TkgDfhoeNylSG/SYTXgWHA+8aQsoF2GkeFtnGu0dB+nd79hIAKqEAgh0CnOT6TbNt902duFOPBGPY0hjvgwGPT5WIGsFu9/MmxV9n00/bFVExbSYpaFVkIBPIKKfFlnE0OGhdcgFHUP/BnUvwDQfYFmRtsWYXprO6ijRqA/EaCP5PNO9uA/J3JvDY8/kpqQ5cpcNmsVJMYkB3RoMXLLRPCmvp8ypvQflKhAKCgQd3Pi5YHJ/k88gCQc1BfrBUgn4H0B9kz/p17v6JwzKLEgJwNMhVkAkjDKNsyhbeGIFMyt3Hu8pdsGtboWfh5Ckj/qOsfTpsWhukyyBBL5nZK7oeuC3Pt4zD99TR/J7PV5n+jsUYvAKnilw80TmUg8ufHZST5m4u/hukT8rk+gewP8og1Z94G/Y9NH/tnrs+nHPv3I7xiOXT4qhDWyiIVqVAocgYKgVCQjebJz1InmukCTf+Ac75VsIsmEwtpMgF5GOSZxAUCpB3IS8GWUxgbFx/tMwakb5Z3dgBZFSGPw0FGZfh9N5Db9TD41f3QY1mhHMZBjkKDo0ceGD3bZguksnXYelzb8qdvoXtKW3YshRtORQM7X4T61v4P5A2Q72DYxrD8TFD0184gc60Lqkj8xlJ4uh7kZv1//uYAkDqo79pxUbdB8HUrDF8l6/LhNutiZLv48y/uhK5T/Pq55+PCUMHXUgFsBgjUf91a/z6C0uXQa6UfPlDwpn5Ry4rFSyWQGSD/zkNZ9UBeQFHIR4LsktyvifNriy/zLcfKw/njYPAK9wdq+byQLtaKVKRCoK3eJ9BKFUgxB02Ow7R9HahxNLxaDaodZZkTbIYv2hdQzJ6+qH/gpcAj1rPjIDkWXu4p99iK+U7GcAhwPNA+y6sR+AMmpb/IELtT1I9soDHcDk+Mg1t3SQ/kXjqK/PumAvQEHhLh7wjKTkrZfExE2Ij6tr1jDJVh+LvwxFHJbXn/vnDD68C3wDyLfgTeB/6EjaNh7a5h+JlYbfi4+oNOugbenWzMmmUw7Qv4anBEc85ZwCD9b/7mABFmG0MX4AVjOEqE5UGXEV1aVBC+SiKIMVwOPAG8aAwtRNgEx+4Fx94gwgv+crbzqw96jrrpY3jpLLi5SnwZnz0Hfu4nQhnwrDG9XoNXmvnkI7A4gbkmETYZw2DgNmP4QPsot5Tu19zzdejYGagH3AZ0EWFNMh8xv1EqA71gRKt8y7GF5dAW+AnoKOKqjzYAVcPiqZiKqTymok+gpoqQvnkVWV0mMqkD/DEbHqiSvogcNsousyh85iTuH3iTMRxhPW5I4IfA8uIrkpSGAHeLgwN+QorAHzApZTwExpII82DRvEI5jBvDjkBr4NF8l51r0gPhZmPflj99I8KpInQUYagI9wGrgUfgglehZ8h+JtVrwP2t4coqcOce8HoraP+tMWcdGlwZ2ZMx1ATqApP0SX7nABHeAF4Enjbmn7Rm3TQTrvqzEHyVRP2kL0UPPY9Y7XwYMM1/ruFcFsTX1ws+gc9ugpJ+8NEzMPVj/fejU5IvSqpVz4GPtAviiNM7wG9ADzcvZ9qL2Ps1f/csjJsA7CvCbakHQP0OYwwXoM6ATWHnZlH43ImwGFiDzk1u0p9AlfA4KqZiKocpalVk1KRmBQPnQ+cfnMwKvJjtRO0zh8K4/4TG9FoLsm3w7ZVav/4bYOrbIDtH3Z827VFbTf5kRxfv1gf5JkJe+4Pc6e7dwjHLRcNVPB91X/vnP3tbWqZYN4LMB2mqz8INC+PM17B1IL1AKuWpfzuRYFZuPwdcMi/MOc5q/89AhkYtLwHVpy7IMjU5LpxYZWh4gokg94KsJ4MPdZZ8toHuP4YTTsCrP9jpL/vlA+Q+kMuilpcUng6zTKR3yvyeU1udcxjIydDpGx/xaRuhvt/fgZyeXFb+5Rg1l88aL1f56z8XLplSCOOsSEUqFIqcgUgrbztJxoO8xye28xbDcNEAupJxsiyEzTnqyF0G8nV47dZwNHT4UjekbY9EfdXmkhKAOGqyNjP/cfnuKSDjI+S1N8i97vsgeoAe1J9oBshJUfe1/zpkbktrw/4lyNsgu+WPL6fLp77zQKaA/ALSWvsg1IDZL4Bckt5msU1f649g5gIS/IaS3wmGJ5A9QRaCnBy1zPiXs4ajoeXHMGgRTLghap7s+6nBWTBS4Grx5wsoO4N8oCAmF81KHlf9/oTHH/IqFyAlIA2h45feYsTJTvDLDL/+06gfcK+o+yidr+9GQ48ZmdowS4D6z615xGZ+sbvclgNRv/o56EVzhajbwOLrSpDbs8t39GtlkYpUiBQ5A5FW3nGSHC4acLZ5mQLCjBQYJnCuwGeizxqvhmaTkgPMyylwxUq3E2t49ZLtrHLX5aGsl7CC6YI0AZlnHQirRt+/UgNFNauZ/d2S2nD+xzBoWVQ3hSA9QB5w/340t68pPJ8KMo0IEFWDrYd9W6LIu0tB+uW7js7zU9/Zllxv1mc/faeauDDQOmUbq6xaWd67FeT1WBuFtfECaYpqY2tELTPe5avwNqIOfG3UNc47nyBHgJSC/FdlJ3VcNT4PBmzKcOFSEeQAkFYg11oHj1LUquUr6L/Aw8Hjgc/tAAAgAElEQVRlO1R7fIffuRLkAZCeUctPep9dPDubLDlfIrX8WH93ZQGxG6oNXQpyRSGs6yn9czrIhMzvRH8xX6QiFSpFzkCklXecJK+WOMrYIEk+CDbaDBeuTTeFmjEJ5FdoP7EQJhxrYy4gh4dczmEgi0G2t/7eBeRlVFMRatkueLsR5H/Z3yuMDRpIF5BHo2wzHzy/RIGZSwVUrxKQp1DT6nrR8FBSGzrNsZNL1DzydJC74Ko/wppzUPOv7128VxnkGxh/tW66nKD7A+HpOpg+EU54plDCo2TnuTA3os58jfTMJxqOYSlIO+/lXfarHvJkLchs60LhepDzUS1URS/taI2Pt60x7FtrBfIgSPeo5cePLMFZb2R6L9O6Zx2gh4EsQ8Nk7Bp1vR36Z0eQNSDbOPxuoPvPbi8OilSkrY22cnTQhQ7obBWsZ2XAviiuyH+Ag4ERBq7cLhkk5u49oPtvMPpgeGNPMGPjqGhrgT4bQEqMaTVOy5w2PCyEvzja16n7wZKp0OZNY677AnbdLYyyRZhmDOOAPsBNIiw3hvOBi4FxxnAjcJdkDtDuK6Ujm8XrZgw7AN2B+tlzygeKnau0CRfAMIWSrADTjVFAiX9MMoZjgOeAj4GjRdJQUPKSFAHv3Vth2GD4rVSBV5LG70fAR8b8dDhUOzX568BAgs5GwSiy8MpGY24YDMvHwocV4TrCAy6q9QScPxjePz4+x/Y4zpjqjQsIrTklFSqqshNfm1P+3v9gpxyMoSJwA9AGaCrC997L++tvYAAwTYRVzt9PGw49jkteX5NBSCxQm8etSlya49qTFR000zoUTsouS8ZwMNzTAAYshjtq2LVVMgJ6zVo6v5RdDatPRQfw58CxIpSGV5fckggrjWEBujmbmvibBWj1KOywayGg8BZTMRViKjcbznCS3YJyDXqeWQscClyf8jx2QExM1YB1f4rwF6ROrLNXwXFNYex5YW9Y4mhfsfrMOBxu3gzv7BNy2dcCE4zhPhFWiyDAE8bwKTAaONuYAcPhyz5BLZTpdU2rWy/gXRFmZ8+tYDZortBBCyh1AV4QYXXUjASRrM3j5cBA4DIRXo6YJeCsveGsh0S4wfkdp8usQDY5ZwOXuXv17S56AFyGAgeGxVPt6+DGbQvg0sZDCrWPckiZLkIT/977EGM4QoQpiV8bw87As0BloL4Iy/yVN+UbESZm49b+4JJ0+WeAO4C9gTMk9zAKFchwCHSxDoWQMsuSHgAZC3Uvh+cnwDTbtgJtT6wxYwxnAK8Bq4DWInwZDv+Bp6+BY0g4BBpDc+AB4BF4qz8seDfTxUExFdNWm6JWRUZNavrQYAy0WhcHf4mZgpZZFDMFbSnQX7w5puczsHJqWSM98Zpb2fI0yAib59vA57fBgL8ymVuq2YZUscw7aqFgHIeDNEABW84CaYk6pXeFi792qhvItiCLQA7z127htVNmOWwzAQYuLh/mbbIN6v95ZNS8BFSfWiBjQT4F2TtqfhL4+gjkzMzvhOZ/twfqD2hrapX+fsy8fqSoCf0gSeapzepg/BQLI8i6N54Lw+Tcnq/Ov2X3CXz7Mmu810mQj8NBZoLc4V5Gwm0HkOEgP+ACDdplfo+CXOr8e/7XjixmnIegPrMdPdSxHsgHID+DNCfvvs/+AaQs/8ivod88/fbMQ60+KwU5Ib2MwkDhLVKRCoXKk9YhlGTdhLXQG70Fo2B6Ldh0AtxTWd+4B7V2exG1OJiMKkAewd2tUj61TKllbSaPGq7rgM+N4R4RVsYeivCXMQNrqIYg9eZ+72nGsA7YDtgWjdW4Dlhv0TqHf9fDDjUz1O0S4EsRtzGupg2HK5vBzdtHcVNoc5vcvvDN2zgXmCPC5KAyzL9ZVaxczgUeBv4H3CjCX2GX6SZZWo2jgO8yvZdNO5JDOhP4wH17xDQUm9G5sg9wq/V3BWD51GD600kTsjaDGWG0Kd5H826BRi1h3PMwNS/ynZ2v78dD/3qwfJklOw9AaY9kWXq6zBg2Ax8YQyPgROB+YKAIT3srLxRZxRh6Ap2ARolrUK7ZktEc1Gl9P+woYzgI+EUSzFGDmOPibbjrBFizEqZP1rVq9XbAWGCIXZ+kl93oPrilB3AGun4/LAEEoPeSctGkxr+9L2HdHH4hTH4FjqwnCTEOEzWexVRMxZSQoj6FFiJB41fizvGxG+1EcJjGm+Gg8W5ulbYWTaCWL4+BXJv+3Onmvs1EFH2sxO1NcvZ2Pek5NDzGcR74bgQz58OJz0VxU1gImkgfff0hSPvg8su/puT/2TvvMCuKpQ+/A2JCMCtiIphFxSyCgopZFEUQiSKgoGRUREDwitecE596vXrNATFnwYgZRRARWFhAAQkGBAyI9f1RvZ6wMyfOTM/ZnX6eemDPOdNdHaa7K/0KZEOQ2816aWF7TF34awyy0GL7T4N0y38ORwa677ivlfOXQ9lykPa25y2HcZ0PsqttPgwvdUF+Atk+x9//y8zpjyAH2OY/ia+zjKWykc/1/hekh/f3xz7jgeBbjgLc/ATymo7bMz0qp8wofI8DmQGyr/l/Rgug+zszZB18fDtIXXvzVvjZV4rnZkwxRY2sMxBF0g2z9xIV+NJdm8pFLznt/lI30swbuHdy9Yce8juvV+W2Zoi69oRzsQZphCZmT8sX5v9m7T6u/VeZXI5T8+C5BpoDrou99VZa7m0ohPtSkA38qzPcA91cmr4CeZIsSZctjnN7kGcttV0L5GfyTMWg72XTCZpvNbh9x829C+Rg1D1xHMhGtucvw9g+D3KmbT4ML/1Ansrxt5uBvGzez+lEJF0AyPEoQvW+AdT9IEh3j+92gtnzVQHhmfJiW5A2IGNhyCK/9jg0lcZvKIpnhQDoeYZFVWAq5uwrtXMzppiiSNXeHdStGHeLw+CIabD/JuoKegUKePCPe2hN2KMt1D3GceqeJLLy/Qx1pbm/yKMgz8AbG/gZTO7hauPi2hOMC5IIcx2H8cBQ4LLEN9kR3fJvy62vi0bDbXOAfR2H3USYlUNVHVFftUcL5aX4Ej5oRJFuSX2A+0X4wz+OwnGbNi6W56OIT5ei/RA/2/CxHEgWV9Agiq6N1vfAbjXg3RsdJ/e1kepeP3cs7NEENt8GnvPVtdnDvavccTgABYT41HE4S4Sv05+15XacVKYC+4Fd4CHzLlxgKNtv90JBQ14BTgf+BzziOHQQYV2gjGbm6zAUfKytpIHW+NUEVN4fHIedgEmwyy3w6AT4ytW9VYQfgBeAFxyn/HCovV1qTfnvcbp+m90MBznwxeOKAtr4IhEe9n4qfX+dDzwA1DvJcQ5/2OsdCP5d8Tr7/vq98Gdtgy3FJS4lVGxLoVEmOHs/OGWdWgTFxSooUgjgQUIrVwE6c7mxLjadYLvPxY+Z7GysgVunfh58YDYa1P4Zmm/vB5Cjs/x+I9Q16wi7Y/bRLTDw9/AstoW7XhrN83KSACL84clLU931Y5BaxfW1wuLe6kmY/grIFyB72Jzz3HiX10FODrdNf91yQQ4CmRLyuDkgPdCcdb1JArootH/FgFe48HcmyPP21lVFX7pPgWE/Ze+7nG7GsnvSZxugLuH/R8hAIkk87I0CgJ0UYBsPkeZiac64uSCD86ureGuc+/rtvST7HCa3Xe5yh3FLNh+8i757G0MNj/IoyMaZn73gl6iBLcUUUymRdQaiTnDZQDj+b91gLhfvOLsjHsu9zjMmum/EnddUhQ0M5E6Q60Ju00GTDbczfx9lBMFeGZ4ZDjLe8lhdCDIbzj8oLPSy4uIwpAfIS/7ztHNjGJTmutxjIcx4B3Xx60SeSZ/dLxgX/AT77WZzznNcF45RpmwXbrv+uo2ZC7OVuEaQPUGmgjwBsmnm/vX4HORUkD1A1s++jgoXHEF2AZlvZ0xy7wvqKv8vkAUgB7t8XwfkU5ArLcxtA5CF+BiX7NHOIyS5WSYJgIP8GfvBf8FDHXKvo7D3M7VtrzvMsJ9AvjH77XwYscbPvSAzb8ln35YNQW5Mavd4j7nZR+OAWz0JXT7JRaERU0wxpZJ1BkqB4NHHodtatdaNSNsUK2j4GpBjc6uv2cNBgyfYHS/ZAQUOyCueqMg2jwGZmSwooLFrs0BuAKmZ9vttUYvWLhbHqSNpsOsBtFETjRnpBHIdyBsw4k/3NewdS5E4qIethPYT/T5sQXrCN5PdBGEj0H+EQr+fTI6Wh6jGweQ4HjuDLAq/Xa84mx5TQTYpoB8bg/ye65wFMI4boUqpuXBfW2izxL1//ReAvAQy2/A7B41/uxW6f5LvOsoC418D5FcsxKLm+k6AbAryApoyxXMfB9kaTS0wIMQ53cbs64G3iVqjOpn/N0DBXgYWXl+6wPNYJzS+OqPXSuL5YmLo/mn7R/c6unxszopdta8dPyi0LZ/GvnlSu0+povSQCfoOt1oCPX+Ad0ab39YCWV3IHhVTTNWZrDNQCqQXiVmz4ZRPofVa90P0zIkoyuDDINtkrq9OAzhzjc0NNoQxuxXkphDbexPkHJfPtwCZCPI8tN4roZm/YBZ8eo/F8TkOtVTu42OdtUEOA+mDuml9bA7G2XqIyggVoirQbyWnS20Iub02RK0NzTL8xgE5DeRrkPfJwYW3lIED0JyYL4TfrpeQMHSJEVzeBrkMdfOsmVudshqkjt3xfP58tbpkV76BrA+yOwroMRQGfu++jkatA1mFAugsR10Tv9NzYPjKTO2ATAZpGf44ZH8nUAvqtyB3kGYV9ZjfnVGrXKfg+Ze6IFNwQaH2v606DWDAPOg1HY6bAHMWEIDgCdISFQSPy/5bP1xKc1UE2FeigWwJMkk9pwYkvbszBNoInP5bBUAfqig8MizeYoqpKpB1BkqFQA7Qjfrk0zUG0FXDWxvkerOh9ySD9ls3LrcNtvkjtvvq03hth1oD64fQ1iFGiHC9sOil7ovHYeAfqfPWba4N9xHD71KKSEuAasOPBxkG8hhqBV0D8jnIfSjqXwtc4L/zFeqCvgyADCLHGCnUstkN1ci/BNLU+7f2LzGFjUedBtB7Glw4L/x0JRktWLVBTkSTg39tBJ8nzF63U4Y5K8dn6P78+5Uch509Hiq3dXTEYyCboKiZW4HUQ70gGkCnDzMJWyB3ByFQ5D4O6X056Dn97tyvYOTv8OYlifWQPRYSpAmq1DohON5lQ1QJcWemszW49+D8ZQEiazc3Z0LG+EY/FHK51mEjbY/H2NSAHlOyxzR+/iDI0DB5iymmUifrDJQSoRrwt9RnvfkjGiN4eKWDEaQpGp/2Dsie7nW5bbAD1sC0F/ERet/yeN0IcnsI7UzIdqGKikCAatmXgJyS4+9roO457UGuQl3UFhkBeyLITUYo2oc8AFQSl7t2b2vsx12eACRBWtTQuKIl5AnvjgJT9AdZbITgSm69BjjgZ5uXmHwBRaJw8coVxMkIPD1Ql7llaDzRbSCnkOSWhcaNHRoW/9nXcDIgV6scQDXynxPv/abFo2ZM+oDcH/44uPWl+yrot9alfy3yUxZJc7MOfJnr1Hen+SMw/TXzrucVG1xY2+GfF6gXxw8gp+Y2LoXHj+f+jv8zB5NgxGq4NTAhPzO/ye+vV0xj58kgj9vgL6aYSpWsM1BKBLIeyAeYoHDUFcjVzQm1WPQzh+IVuORUqrwRH7gbyHgUdc2q+5RP47UNCm6xY4Bt7GUOTk8UMf2dHdfA1IvMsc/AnO/wSMBtNN0Houimd6BujytRS8oEkNGoS+TO+KgJBxlABkscnPpKUBcikFEgBVu/UUvMCNQqNY60pNfw7VRo+1oYgDvuc+99iTZ7xFZGMXAEyOnQ9aMoKCsKmIcaqLfEpUY5sYqE6+jSbBfb4Pkr7lKf78XbO4/p1xPROMlmIJ/bGYv0vjR/wX1sTl+XfyyknIwqdVyVn/nxWGn8VsNeu4YzRrbOCznInGdn2FgbmXn76Bbo+62fuY1zbzv5/b3cRZkzRqDNFJAy2+MUU0ylRNYZKDUCaWwEu71Ri8z2WX6/A8gzaIzFUTnUXxPkXtSSuJXt/vowXteA3B1g/Q+CjMj+OxuaXVeXouXGtW4LkKNBhqAw5NNQd86ppk+DQVoRAniEET6/AznI5bsdYM4S6LXYb+sUGu/hCziPqes6o3S4zoxvbSOMWElq7b3mLv3F9Psvw++3RuB/FgYtsnH5DGBNJbuOVvQjq+tocPyEb2GtLGztugsaM/4ODDgELl8L7SaFfaFOm6fd4dLV7mvu7LwBpEyd3dDUOwUr/2x7bthsH2R/I0ifZWNNuPNUpwF0n2fLQ0Hb71SeQDetSNU1w/w9QqD1n/DOKpAtbI9XTDGVCllnoBQJtdR8gcYl5ZRvDLXgLAB5IJtwh4JgXIXGeYV+YfJ5rLYyF90GAdTdwNS9Wfbf2rgEel0kLlsF8guKvHcbyLmoFcWaGzCaquKltM9qoyAMw4LI82iEtXE+92N71CK4HAULmmpvTL2sCZ0+QlEV18t9zUTbEphlTm4w6zzZdXQmLq6jwfIRfK7SHMaiBkz5X5h5QT342AKNHRZv97pmcwtdi6hyawbIloXxZxfUybZbNsi+qJI50BQYufNjf1/SOTlkAhy9FFr/XTln8wyB4/6Gzl/bVKzEFFMpkXUGSpGMkPa82QwPyeO5OkYzvgSkO1lc+lDAjAVwQ2u/EhVbGq+xIPcFUO8dINfm/vtwL4HeF5mzJxNCXEueY7kBivB3qPm7Buqa/GC2dVpge9ujcY0ZLelF1L9r0pj3tyFgF3Jxsn35DGguhoFcn/R3uutoBeroCJCDyRF1tFTJ/1yM2eNOUfCaU835MzWp7Qlw72nQ1W3N5RUT6NLmNShiY+0818t+MGhhNIQOe0oDNNThe5Du9tdstJCW4bTJqcqL/AGfYoopplgILHzgNM+cgIwp4NkDURTHiSAZE1fDa4MV2rx0NzejdV4O0tjn8f8JpJ7t/nnzaF97mh+/E0fAkO/1wO89DWZ+GpTwhKIjXh9M3RWXt4tWQK+pJg5rHuqmFpqAoXycuzDfd9f25dP/MejyIQxanEFA8UAdffMSjaMtTeWX95j4d6H2VhqcsDfISSha9WdG0H7DCGaLUbCe+qn1uOXoLHwtGmXpf0BeJbdUE03QVDaL4d1/QdeyUj73/FkrsrtRzvWyy0e0zjLlJzlns6c1O5JnbUwxRYWsM1CqpIfj6L9hoMDh5aqZyv2QREFmBpsLzyivy3bUNt/Cx0tGgzzgY33/BrnLdr+yr5HSsOoor+nWgGBSaKBxtcsp0FWssDH/X3s07m46SFtCSl6urn89v6wKAp1/c5FNCJYd4I2LoN+vqc/2WgSt97Ldr+LHxb893buuy9eCTAK5HAUd2gC1jn8Nck9Qyh2XuVwPpr8O/ecpwmTldwBkDxT18weQiyosh1VJGVLkGO6Cxlj2tcfDU91gkBuCrJU50bXROilV1+Vp70AFlVYsdUwxhU3WGShFSlxu0n3S898YQXZCXUtn4JIAO2puGIWPmWwKZSvghOeK1exrXbICpKHtfuW2VqJ/kQlT2YCCY1wedj+MZeJk1B3uI3IAaiqynxsRMDpulKkwd1hZXy1CHd9zf3bUn2jqnZJ1HfVTOeR9PrR7O21cT0RRWs8Pv6/pFr2OK9XVVHZFQbGWoq7BocSGliKBNEJRoi3klpRNQObBk12jdJbpGqrI2RxbAmOKqRBaj7gUUBrfDA0awwjgIaC2+bw2MK4xlI0FuuRSkwgLHIfTgNOBxxyHV4BhIvyov1i8CFYntQH695JFvnQltFJ3c+gs8PSp2pfVQJ/DHKfuOdCkD2xXX/s6faTIyvIslV0AvCLCvKC5LraYvuS0FuyW7eqnrjHQv+vV97MVx2Ef4Figr5/1mro3h6aHevVDBAFeMu9YR+Bex6EMuEyEz/3mB32nPxVhYQB1l0DxXlOOQ02gIdAkjRoD86H+Fu7PfjMZuBY4DngAqOc4vAm8AbwuwoKgeuNXEVlZ7jh1W+s5Ua++7uU57Xsuxet8WPQdgOPgAMOBC4HTRfig6A7kVZqMhbsbpZ6R99WBDhNh7ipodDNwoQgrw+WrtIoIcx2HlsBEx6GWCDcG2Z7j1G2gc7ddfdimHvT9XKT9Q9D+oSDbzaeIrHzfceruC8eOhU0awpwDYdwGSfeLMpg+0jafcYlLpIttKbTUSDWbndcYlxtfXRCMhet2NGajk1ou3Nz0oulSmLlvblaBGUYrnALzvBLqtMgwRhuhwDpNbPepKlFYlkCQ50AG+1znXigi6E/QP2dEQ2N16ouCLzxFjki/efD1JkgH23MbvTV1yQqQ1cay8SIap9YFpCkmnUeu6xFNwXMO7qijJZ9rNfsY12kAfX90Ox+MBedpkI8JCIApO39elsoRAq2esD1+pUZmvc8GuTTYNZVuqQ4mNMBfvr94BLp/AhfO05j2aPMbU0xRIOsMlBqlXk6CcUEAOdS4rL0G0lj98S9ZHhU3jML65HYZSM73U8ldyLWPaCqD52z3p6pRGPGLIIehaVKKztuH5tNsg4JdLEZjTusV0g80efcwI0Tchw/um2j6kuVYTPsR/hqSrUGOQtFY/w9mfgZD1qXOxXk/wH1tswloBc6jW8L6knYdzWHMt4CyH+G4Ccnng54bMg0FZrGSJ1P58xLmxxSsLC11ygXNNcuc1zfKjlHhzlm0XSvR3MrNURTc12zzE1NMpUDWGSg1ShVmgoMlBqkFcrG5SArIENt9L64/bgfLiLwEaTMm5SCH2e5PVaQg4xfReLyJ5IFy53ZZQqHuB4OUmUO/c7qgVWg/QDZHAYdWgNwEPQ4o9LIGMgbkNttzGsw6kU1BDgc5z1jd3kJBPX4CeQ9Ffr0QpCV0318FlMt+y38MK+Zx5Dpo+XgBl+V01NEVaML6XpR4/tWkPl4Jck/aZ8eb+biAkACQMs9hx5WpZ2RFku8z3rA9fnbGo3hlG4qO/TXIv/ye41LEIUCB9lajabi2M++61bUfU0ylQNYZKDWqLMyUC4wUaPszXLzMbysdyD6mrcUgzWz3v/B+uB1+rVemwjxLxgMHhfifZLsvMRUy/9IaZBYuCdJzXy8X/AxzfwZ5BJPPMCBe68HnDxaamsVYpMpB9rc97kWOw0bGstYN5DqQl1FL7ioVwL98Anp8Dj2+hNbjM1jvdwT5rgg+ZuCD+zdVzHWUROqdBuZvB7VoL8IFZMwen3VaJPb6ZO+Pub+W+juS/1j4iQwrW4N8BXK1nwJPKVoCQfYGmZX093cgjWzzFVNMUacYGCbvMn0k9DlMAWBqA1sB8+fCrBNgwsdw3Vo/WkkEZjc5ADb5Ho69Bk4c7zg8BwyHupslArdzBlSxVjzAEMYBL8PqOpWBDVYsTX7ecagBXAoMCpHtuPhQDDjFv4FRIvyV21NNxibeMdB/r9sU2j4j8kbnYDjVIsISx+lXE96oWSDo01HATyJ8ESSfXiUV1CH73uA41AJ2IxWgZW9gR2A2MN3QOP13K4HGN8FObWCPjaAXsNV+0Gc/x6nb2qWtdUDNIrpUjoLITC+iDkT4DgWTecDsJ01RgJnBwOOOw+fA64amiLCumPZCKIOBZ0QodxxqA/cDjYBDJUJgRAkAj9Vm739tEVwzBxqOBl51HJqLMMc2n+GUnRr4BcAlwjLH4SgUFKmW43CxCFI8j1dOg5FrYWytEgJZaQp8mfT3p8DBwFw77MQlLqVRYiEwz1JZmNl5F+gzXuTw2Y7Dy8BpwF3FtKGXuNPeTFyCVwN9BsF9x8P4C6FsJnQUuLleGtKm2wUsMsUNKdNx6p4EvV5WxLiKvgxbCfft7zjsKsJs89NTgd/QAy8upVXaArWAp3J/xAtZss7m/rFVSPs5XdbORS/koRePveMw3bNWLsAdkXMXYAEJYe9R8+8cEdZmr3800J8MQnKxQuA8oEERz1cqIvwNTDF0jRGijiQVdfQtjFAoSaij+QrZQRTHYQsUYfcgx6ERMAH4AjhChN/D5CWX4r73swhVLLxuBMHFNngLoxhFSz/Y9SA/0b5FWOE4HIOu01sch0HFCIKOw4lwzCD46Dg4tlfx6LXBlsS7eNCRsGaF4zzZwPBZIQQ+YZXBuMQl6sW2KbLUiUTi6/og7UCKjnPwdse4cDbInep2WlruGpn7WzmGC0VtXApPn6OfXfILdHy3FEFxqjOhAC5fg5yU33MnPm9zjXu/g63HZ+nv5iA/g2xpZ7w9ETmXGzfOcpCXQK4F6QqyP8hGxdc/xvz/7MkuY7IVyIrC+lOnAfSYAv0XhAmKBbK9u+vohJ6KlGgXrRkTC2jcrJegYDwlFwNl1uA6FAhtM9v8BNTHI1GQntfh6qOh369+rx80TvdDkLtAahRYx4F65pZGzH2m+EqQY0Hesc1jTDFFnawzUBXIXKgeQIEIVoJsXlx9XoHZ530D0g/6zHb/PrqB24WNw4NnwuC1ti9cMRUzh9INBQvJ+YIKsgPMWahIknbm3v2C0Wc5zJ4Nsm0G3vuCWIO+9947un0GUje4+i83YzTyd5BnQFrwT4qbVk+qe1khwDBBI9ZmR2okgTo6Fkassa2AQ2MBV4DcgcaKt7K13nzqT3uQtSDv5qOQiDqhACUPo3G0Z+r7IE2gbCkc+ZjfAFwgdUHeB7k3X0EQpCGaKud02+OWO8/esYtGGfcrVRAROKaY/KTYHdSfchXMnQ2DnoLd/oAlLzrO850Ld5/wSgA87XMR7nCcqYfB6l1KP4F8tjKuLbyxXoFxWXGxXByH9YErgG4iubkoOQ5bAq9D41vhsadhmg8JtfMvXgm94e4ewJuOw1EiLHd59FzAYuyM194xe6b4kpDbq/6/0bih79qgMZH/hVmroWM9uHlb/f2lnfNzW3eLC/Xv/Xd3bb2wheM8NhzO3hiNr2uEutA2UgbW/e1XTFdh/Fa4vm25BZzdEnY7VJJcVUuxiPCU4yqtZfoAACAASURBVPA78DR8/ZzjnL8Mtt2uFGLd3YrjsB7QD90H7gX2EmGV+W40NLpO5J0b/G5XhJWOwwnAi8D9jkNPMXGtmVyYjWvxK8A1Ikzwmy8/S2o/NtgLlpP6Puq7KMJPjsMPwB7A1zZ4jUtcSqLYlkKrAqk22T+rRTYNeBgacttkLAhL1MIwRhSFVaqkxbOqEpom4OU8fl/buDRdZ5v3DDw6aHLzKekWf5B9QRba1D4HvTe41995DTSdkNwGSE3o8HYxVrOgoeq9LQkX/QDyX5BRaAqSw0Hq6dzbQU50H/euZVVrz3+yKwz5u5TPNRKun2+A7J723b7Gcls7YB5qg7yJoiiv5752OpXrO3vm27reP/0/22OXvV9u/RicdjdIvIsgj4GcY5vvmGKKMsWWQF9Kk7Fw0zaqhZqP4grs3BiaTHScukfnq8n0skJU1JPt+1IvSRr6bSuDT2xF1bN4Vp2S0NRuvwPsfghs317xK7I9Ry3gaWAmMCxgNgsuIojjMBzYEL6d6DjnfwtbbqPa9dt/hwMfEIuokql7Q7NjYcV8eK6DX3tDav17NIEt6sHzh6XXL8I6x/mrSKuZl9XRr/ffC/yn7GsRerg94Tjp6NBhISe6WUXvbgRzCraKRgHgJrXcfDy84fh1joZZHIftgOuAlsAQYLxIJe+H0cD1IqwOkhcRVjsObVCwoEdg378qr517doZrdoYrMWv4GMd5rkGUx9j9HbgSuIakfiS/ixXgMA+EzWlc4lIyxbYUWhUoobEOLnl8dSJvbfvISI1nLvFE1YkKtUKZmKtHQF4gxzyCtkn7esEvaVrpv2DMkbZ5SxrXVmiOvUAAQ0wM0iqQDdy/L85q5r6e+v7kn1XzkAnu/B0yITtfqUBWAc+jU2gcuNceFUVvkqDO0SD3abW0ySAUHO4akE08ftcUzd+4cXjjKRuCvAhDlrqvncvT1n2LR23NfX7rI506/gY9pkLzR9K8EY4A+cQ23zHFFGWyzkBVoMRlZ4zYcBWqauS92Z+yJCqCVhQvUbYp10t/5UvZ5/ej4DGhXZDC6qtdHsVBkVmPDrCNz0Gau39X/DuSKnAd9RSU/QDii6Ct7nCD04SNwQJNMwqBIc/hRiAPw7Af811v7uPfbS7cexqc/V7U1m8Q52iQ+7QRMr4yrp97ZF6/Q5fBOZ9ZQJFdHwYtzIzoW0Ej/zJupJeBHBY1hZz3ntv1Y5APQH4AuRlFPHag1Z5w+Vpo93aspI0pJneyzkBVoMRBM8JFcBGJY9jyHc9SuGBHn8fwx8RLeL90Nch1IC1h110qX8oG/gEd9rXNvz99jda7jsZlZkxrUWT9t4Bc6v29v1YzkFNA5uEb0mm5uQwnxx5HYw5BdjJC9iPQYo/K783Zy9Wa6W7hgpZPeKQLWeFtHbLX9yDO0SD2aTQ+9CE0/rc9Hpb2qCgKdc/ttyp7LF3LJ0DaGEFqKsgvIC+CDEEtmTVS+5a7ddUPa2x2rATZFeRfIOUwayacv9z22McUU9TJOgNVhcwmNzcWDPwaS/uHZ2Yez3wnapco2+R94WrzMsgVIJ/BqD+qwjtSKkoA1GXzJ5AdAqr/DPIA//Gpzf8D+W/x9fT8IqpziLryLgYZWiFkpArULd+E/usq75E3HQdyCcjbxrLjukdFdf36fY5mUUw9DTLGCHJ7gtTy4McIL80fgXeuQPNGerp+Jp6NzhhrbOWAeXDRCmj2PLQtz3a+gmxtxuZukG9Rl9enYdIoOGd+ruezn+d5LkolkBpw+utRGfuYYooyWWegKlEpCC+lQmHH3eTHmxwBw3+NDxm3Ocu8/uGs990vZZ0/9tKoR5E8kOrWwoBDbPNWmVe5E+RfAdW9DcjPhIiICrIJyByQM4qoYzjMLoPu86K0X6MuvAPQBPCtvX/nJWBc9quZ75M1F537HuW9fp/oYnOtat/8FBq8xumkF0A6glwJMgFkNshvqHvnYyAj4LnzKgs7A9bAdcfk1ra/3gLFWtPQ+MWHQCaqq2R+5yvIDiBdoV+Z+5gO+d6M5WMg96OJ62+C86aHfVaWiqdGTDHZJusMVDXSjbrtazBiLYxYHSXhJb8+xIAnlcdFNkTdGhfBs70qX1Qu+Lm6j1U24d37Ujb8VzSp8l0gJ1ECSaMTfR2+Bk59BT68CeRtIhdLI3ujVqX1A6p/JkjTkPvUzAhK9Qp4drixbNSPkrLJ7C8PoK54DTP/NvslN7dUQ8l9f/gsM6YZ2w5nLPyZF/j4dhj4ey4CJcjGIAeooCPXwuDvigM28s8S6JdgDFLTCGjvgNQpbEy91l6PL1HPgE4g56Ku6EPhgrKwBbIoWWFjiinKZJ2Bqkhw7TEw/BcYvlpd4dIvwtEVsmJrpte4SFM0/9N4kK1T5/H0idDqCY1DkItt8xplqry+Zggc+yucNhlOfB7e/7e5oKxE0ULPJ82VMUrvD0gLDAKnuWC9RUBWtyL5nATSMaC67wEZYKFPV8LXE/OLTUoIgLbnJI2vHUE+BXmcHPLI5Q/ClJswBTIQ5AtKCKQpQ1/6gcyCHgcUIlAWa00Kx6JZiEApNVCX6g8oILY2X15sCGTxPSammHIj6wxUNdLNp9vczNrX6G5OsQYtfTxkPZARIEtBupDBZRF1l5kP0tk231GmxMX02A+g659u7wLI5qi71sNoLMqXIFfB/adH6f0xWvWLkv6uB/I9GVz5LPF5Jsh7AdXdFeSp8Pu06y65WnkMn1EVAI9E0wdckml/SX0mmHPEKDMehqkToqJoKbAfHUC+owirph9nYWKvG/i9xqDmbblzQFrC4CV+WtOMIHgnyMcgm+X3bH5rL9udKLg1UDH2lwv0mFJqazimmMIg6wxUNfI+OEb/DfKX/htdISv2pU8eC9kN5CMUNnvHHJ/ZG4WqjpQQkOAvSla0XK0ZUhOkOcjVMOynqLw/aGzaTyDbpn1+tLnUb2d7vpN4qmUuxb6jsMKIFjBiTdhrKp9LehQFQHPBv9DsF8fn/3wwrqyKRJq7cB01Mu/fUpD9iqvHT0ueHAQylySEzSy/3wbkYrNmv9b0Ev7ue2b93QLyGcgWQa49uPMk3bvDd7s24zXF9rqMKaYoknUGqhp5C1FnTAJZD9pNirKQBV0/isol294YSA1zOVuOuhTldHAnPX+kuYSEGieVna9oWaELUThESUkB0gPkWY/vxoBMJETAlBz4vRxkXFVZU95r4cx30vodRQFwQ9SKPA2ksW1+UnkrXW8QNEfcUpBW/tTnV2yiOCBTQI7L8JuaIMejqKU/mfVxuD7r9p51LfPJ8nsd6mmxVYDz0hbkBUtrYiGI2Gg7ppiiTusRF5/L4kWwGqid9NlqYPH3IvzlOIu+d/9+yaJiWnWcug2gyVjYrr7yMH2kyMry3J+nBjAWLt8W+i2AO3ZSHlcDI9fCKf8phr9SKY7DDsD9QF3gcBFm5VuHCO86DhcCLzoOLUQo95nNAkuTsTCucWLt1Ub/LhsLdAmfH693JdO7UEOCeH8KLOcCN3h8dyXwBjAKGBMWQ1nKvcAMx2GYCL/4U6XbmrqsMZRNdJx25YXsRbkXr/Wzx6GOw1jgVqAXcA5wlAg21kilYvaY8cACoJkIqyyzBIDjUBc4C45okzqmoH/Xq2+BrZyL49AIeBHoK8LbftRp1m3Re6MI4jiTxsNz9zrOwrLk98Jx2BHoAfQElgH3AT1T39GV5Y5Tt7Xu1fXqww4Nod/LIv8rL54vhgFrgYmOQ2sRlhZTp0fZCZgfQL25lMeAiy21HZe4RLvYlkKrGrlr7Ab+HmRMYLF1gmwA8ijIZJCtKms/37oURY1rYXt8g5s3cdCYv6VoDGDRCI8o1PtMkC1t90/5iY4VTfnJN7ZEtoOypXDud7atmair8BJccosl/aYe6haaE6R8SHw/gY8gLok1VZF0faBADwljfrzXz+gjQMYlrfGDbY970vi3QGNGhxOBlCjG6+FoNHXAzyDjof2kUrMEou6Ts0H62ubFnT+3uLheixXYSH5EUZH3z6O/2xtPlV18Gj/HeC/MIAA3dpAbsQSahnrmCMjmttdBTDFFjawzUBUpVYhq/giUpSRr1u+7fgwDv/PDP74Y9x2QLVA0xqfJAMtv3FSWwcv9ohJT5t98ydam/9PzOYhzrPs6FIXNesqDTDmz7PFUpwF0fBeGLM20nkggb46JAqw/yNUg1+fwu2OMIJh3KoNg+H6oA1z6i1/vr9YxQ2CoWUtjJEwBwmstGCHrV6Pc+hFFMG2c+kx4e5i5ZPcxSqYTw53zyv0FaWgu/fOMK+BAUlCPo+M2nsPY1kHj2q6wzYs3j157b+fJFIjECjIM5EWfx3IE6jq9vb/rb+B86DXdrL8WYb5/INuaMY9knH5MMdkk6wxUBwL5H0i/tM8GgdziT/0Z8/ZkslQ0BPkG5AZyiHuD207UhMLZ8k5FQ0DMhR+QU80l/XqQDQOY+xogj6BJdK3Gh7lf7oYaK468bUtTCnIyyEtZfjPC8Gg9xg5FjF0EsleOv7/CCLARnH8/vBBar0zUebnLPiQSprWZtBhAkK1A/qWWk6+ehR4LwhRwUE+Le42SyRfLTXFzPmANlK0Auc1L6RUFRUuOY7s+yBtoygPrllVvPv33wjDr6luQk30e00tQq+pOxdfllhKoiysidHBjX6eBKqf6zY/yWo4pJhtknYHqQCCng7yV+LtOAzj3C782JW8t48VLjeb5ThRd0Uni6WBzke1XfDvNH4ma9jh7omSpC/IfFLHtyIDnf30UYfRO2xcVt8sdyJCkOR1EyMnOUWvZWxm+b4G6XvqmnS6S35NBPszj9zVBJsGHN9tUkgQF+KE5HsUoE84QGCF66Sr3rY08xtoTBEbf+XOnhGupHHAIXLxMLd0tH4/OnLd4NEw+AprrGqild0LYe5Z/81DsuycnwOx50OJRP/cVePdKGP4rnD25OECc9H7b8BToMkeFzzFmb2q9EupU2dCWmGLKh6wzUB1IIbdH/Qkd3oVDJkDb8rBiAkEagYxELX7zQK4CuRRkGcip+bXjpc0ctQ6G/xKlOJJMhy5ISzMW94DUCYcfqYu6XQ23vR49+KsHUpY0Xq0TaytYwcUoKCZ7fLcFmnvRV213ahv59RFkPEjv/Nrod3AmK3o4cxxMTGhll9CK/g0Vo/kPCS00OwpomHGxmtOyas65bSKR3uBdIuBqn53foPI61mkA/VcFf5/oVA5NJ+R7DlRef+F6CnjvTR1XxhbBmGKKhcDgB9h1Qx0sCS15xWfFagQrLrLt31WBs/Veqd+Lg8Jn/5a0+V5EUqxi9ja8tcrQ+eMoXTa8Lz/9F6DADKELFSD1QcpButlel+58i4MmWTZjNeM9OGd+0JdYkANxyeNk+HkO5MZg5yovcJqtUQCNuqhbaF005qQhmiPyIBSI4ATUA6AzSG/o/qlNJYnyesGsYKwR6S6hKXXPjYoAqL8LJ/2BzvnI32wrxko53UOW8R2GptfYPPXzaIUkuPPmn4ttEPPrXefIpP93XqNCYTaFWa6WwPYBCYFnTAzb+hhTTKVE1hmo6uS9oY4JTFgCeRWkQ9pnNdDYv29AGsNjZ0OPcujyN7T5A06bAh0yJpLObHGM1mXDO9/hgHICROvMwQ11TzQ5tGe+KNtkBJ1n/Do8s13MQPYCmeHCxwCQT0HWD66vXut24HyQV9A4xE/QeK5kS+mfIOtQ8JEfjHA/AwWoeA/kNdRN7VGQ+2DAwtQ2Kih4JQlIbZAX4eu3KyMU+iPUJ1xCrfQv5zyAuhZ7fh+UYgN1/R6n+2ynj2yNSaKvh0yA9r/rBb7c9/7aIJBzzPu2fern0QpJCGEcNoTeM/xeY94K1GQrXoVQmHl8c4sJ7LkIZs8FeUHvJv4J8vr8CJe+FDdGMcVUVcg6A1Wdct9Q/ROWQHqBPJn090YgT6EooFvoJtspzSV1sECvdTD9VZAz8QBJ8UbjC/ZylWf/j9MLT79fU/npvSR4JDIvoaLl40n8tUDdcQ+oPK7R0WDDuV+5r93ha0BeN5fdS8x6ORAXYJlcLmaoy/LctDk8AI1nDTSRtvf72XMayEkgrUAOBdkHZBcUlr2tueznHN9pS0mCWik/RRNP10qss1M/UCvdcR/4E5d80guW+pd3Inj49P+g11S/QU9Ql+r3QZ4FqQutnrSlGHN/73Kz3kSZ0HjcJSB7VP7O8x2bG6V91YcxaAByje6PQ773c42Z/WGue1xvxd9jzP3ldCPUZW7L5c7QwiUufQOQYVD2I/T90a97RBYvhdgSGFO1J+sMVGXKvKGO9GWTc29XtgL5BWRj8//JqEViA/0+k7tHlw9RJMMfzcXxGHJENYRPx0GvryxD9+9n+jQTrj0GLl4OF62A1uPDcUvzEipGrkNj215GkUifM981iaoG23udnPAc6u54AWpdfgaNd1wJ8hPI56jS4VpNheJ9AJtDejyM+CPpQlAHZBbIWfb6WPmCgLp6lpEDkm7lZ8OfYzSXYRmaCsAJiheQI6FsmSpZQu1f3gKgee5LkMN95uVQkIUgoyvWB0wdDxf8bOO9jppnhk9jfBiqPDvM/XuvvXdE6OMfQN9rgBxnzo0VIDfr++3fu+yNHj1DVEn8vrjH/R77gX/9bD3ef/fWOi00BjBa52tMMUWBrDNQVSnzhloRZH36RP33kLwDrrO3L2+BXIxCPf87+eKa2Tp5+o/Kx6BDQYaCTEFRRG9CrT2e1g+QL/y+XOXZ552T+jPIXBj6ZuLZfx46vO1+iDV/BLUknQZyGZo2wnw/6s8oXtjc1/AFv8ApTTzG30GVDoeAnKWX9IHfu6+1PrPUJdnNPXHqBJB77PXR/YKAJnQeWVxb4cDugzQDWQzSs/J3/gkIIO1Qi23rkPtXqAC4DRrT6RuaJEhPMwanJn12GsgcaL2XjkX3KTBgFRz4bBhWqaoGCIO60S8BOcn7N7mEXtjfV1N5TvYAqXwXANnMnGWzjPKiN0ht9zqKe++8x+/oH6HLz6okdre0BrNuk62OrYry4imVlCcxxRQ2WWegqpL3htr2L9h1F/1NcNYBkIdMu+flzttIScSBVYpjuxJNpzATZBRJbnraj2OehpFrK9JFhD/esk1SfyYbCjknl/SGsh+gx8Jc5xTkehixNqoXttTDs+UT8MWjqEXz+OLeg77fwkVL3b8b9hMFJlAuro+9v9aYUVcBcCNUA7+j7TnJYR22JUNScr8EBJALUZAl11xzwczRGROh5xcwuyxfAdDwfDbIcz6N8/po2peZJLknGkXIIpAWic/qNID+q8OyRlQlSyDIDmgMYPfsa8QzD2oE99WmE9RFd5XhcbCk8n7hLzD3F5DHSEvxFAxPXvvC8DXKXyeX70TgVB8tgRXrtlwqWx1j611MMflN1hmoqpQlFnAeyBhv8JKicwe1S6qzUmyfd0xgb8mU2wu19DQDucNcMj+Cd0YHBTaRR383TRvnSwkxMbcZl5Go690u+Wgd9dn+c0vpwgbS2qzh+8mSYD4zmJDXO9L5I0v92gkFeal02QLpBPKq7bHPoQ8VgtmB3r8pTkAw6/0q1DrRKPg+ua2h7vMKc3mT/5BHbtQM9WyLAgC9ALJp2ndPkIRomwgLCO8ddx+zrmWldokG2RwFZbok935XKAva/K6eN+GMef5zk2xZ8wLhOubp8Pjy2hdGrAE53C/FQqb4d/exic7cxRRTVSPrDFRV8t4wL/oBRRa8AgYtcr8EF6apNJezISDfgewP33wE7Sd5b7ZdZ0H7X+GoP2CQ5KMxBakFcqItASZxkJz5dlK85VqQ/cKdZ6lphOIvQeoVVsdeu0L/NakXtnNcLVJRITRu7w6z1trkNlfpYELRs1agFofdXT5/kzTE3SgRGjN0LWqVaph9PnotKkRxY977+1HE1K3D6ZvXOjk8z8unOCALcAEVybOeg009V5AWH4q6QX+DyV2XuNSGj1CY+t4NKIf3xoa7JosDu0Kt7++h8W95W8Hg4bNs52l056tiPSeDw4WbP897vtIVBwP/gOHNvb/PbzxzAwqr0wDaLLE9HjHFVB3IOgNVlbw3u6uPRjX1NXyOzakJcrvRmu6k7Z+/zN0CU3E4D10GHd9Vt5TC+LARe+JxWP0O++0W7hzLBqjWfxJp1oD86zphb7hkBVxQBj0+h28+TL9gRpFAWoLMAXmYPFNvRBEQB+R/pCWCR9H4lmOAlaJGZh0+iiJT5jQH8M0n0PE9TWMwYg3snBWFFU018TLIS6TFJQXbP0/Ajz9RUKKBKCBUxvcFBcpZWIhAkVTHOWiscVuX7+qhluRDEp9V7PF2c5WB7Iu6qIaSWL3YdxvNwfmsWdcF74OKdn3uF5rHdsQaODDUM8Kdp4r1nLwmopHLTuftqKfg4p9g0MLK+YaLi63zvvO0WqLfbdkQpD1c+ksUxiOmmKo6WWegKpO3BURmgBzqflD2WlyAxrQ2ihr2ZoUw4r3ZNn+hcpudyqFtunvoX3BfpYtO5bbDt+bYg9tP1my3fBxmfADyNB7pNPKvX+qhcZe9zIV+oO01nCPfG6PAQYtA2uU/ph3f1biTlo/b19JLT5B0N+jRILfZHmcPfjczSoins13wE+u322cw/NcKwQ/kI1wAN1LX+1FPwcwvQP4LUivcPnq9763Ho26696AgMT8awWEwyP4kuYRrX7p/ot4XBVmlaoHchrrA7uXyvWP24KtSP6+48NuPcTL8Fe0KW9ycee/Rqevtwtkw412KzBEKsqtR4GxjFBi9wly7mccmeU24xQSGrxAD2RsNa7i6GOHbu/5MYTIVytxvv4Inu0ZNQRhTTFWRrDNQHQmNp7lG/58sKLZ5GcqWg7TMo65tUdesB5IPTO/Ntsvf7ofzIRNSBdZnehiNd8ak5nag76NifbzgF9jO15gokN1RFLz+ZvwruSZGlUAOR90RnwLZJsdnGqLxpQfZ5t/wsytJ1iLUzbIcpKlt3lx43RG1/N9KlhjYzLGZ0oekvKLev+/7ox3Qp9z2GJDtQDryT7J2+QnkeXhvLJybM1iTyzhvA/I2agHdzOM33UC+Is1anCoMVaAdjhCNEQz9gn8I6sZalGCVW1tee/TFPxph+nw0X+rm3nPczZcxArkFRfY9yuxPVj0s4PWhMOjPhPA3UqDdGtj3VT2H7SBYojkYl4J0Da6NbAiuCUVBjOgZU0zBk3UGqiOh+ca+xR2A4mizEWdF3APZA7UcjUmvK7PbhUhlqixAmUP6B3jpwkyxHWFv1nB4lbY+ouA7y4xg/2G2C36UCGRDNJHxD6iVJlNKkVqoFWqIbb6TeHLQ1AoNzd/HgHxhmy8XPvc1wuqQTGOc+L33+kXBN34B2SL19zMkAdE+RnJJDB1cf/PfY1DLegdFoi3U3V0ORNFwx3q9hyh65VI3RUHUXJ5BXiMEaxh0+sB9zM98y6zZ+0E+BvkV5HsYsiio/RVkC7Of7gXfTtU0PnaSx6NKvmVwy/FREXBIYAksAmkWbFt1Gqi3U/L7kI7gGsf9xRRTWGSdgepIJAAKKrkVme/bmQ3ZM8UByJHmon2O+/del4/84v/g1hOiFlwPH98OA36rytZHNM/YEhSFc5jtNVsA/weDTENd0Lbz+M21IC/mIsSEzPvjGDh6NJ9jf9s8pfF3jBE6zsrht41AhsOwXzOtX9PnCxLPHfdB0Imhwxuvwt5dkK5GeKjk4pzqujhkEXx4o3c9Fb9tNwlG/QFDXZOdh7R2jkDd/XzLk5hW/yaqvJo9B3osyMF6WwNkZ+gxNcj9FWQwfD0Rei8O+yxLBTEb9iNMvMzW/LuMy/ooYu6XIDuH0+bXb0LnyXDKErWCJguAcdxfTDGFSdYZqK6EusSMyPD9eSBzod/B6VY4NNfVUpDWmduorD3PVzMdNQRHFJihDHodGK710Wscek8DqRtQX/uA/GHINUF7lAkFLPmXWavnJAt7ICeglqytbPPpwvcF5mK0OZpYPC/Am4B566rKn4c6eMOsy44gQ1E38R9A7oLTX8/0Hpv5+CRRh2dKA98SQ4c3ZvntYSgoyc0o4FGl984j/UKu6Kr/BRlkeQ29A9IlgHr3Rz1c7ldhMJ9UOcGeMyrsDF8ZvgdJtCzBaWOyNci7IBNANgmpzXqom/YmUR6bmGKqLmSdgepKaHzCZ5l/M/l6hWhO3iT7LIc534HsU3jb+RzO4cffZRmzpSB7ht+2V66yL59CLXb9CAAwA3VDE5ApQdQf0rw1BfkC5BUjoNRHXS5b2ubNnd+bjtML4/nfeiWPtzCGDshwkHK4obX7WnxnNAootALkPpBjMRafbBcuFF34e5C99e/TJru/9/4lhg5v7HK/bJqL8USQV/HIgVmMwGKE7cmW11JrmD0bmj/ih1ukWZsDUavp2UHPUeF89pwW9lkWNSVq0pw1QUNJriLEGEmQi0HuT533aLjFxhRTdSTrDFRXMtrm5SA7ef/GGxUvPD6jcYih8Y8/gBxtb8480V73Q2NtZqGuvL65N5oL1gNm7Efb6rsP/agFMsIIKAIyxjZP3nMcLe202SvuRl226nu/k/3nouAOrsAf2S5caCzndfr/aLz3/s5r5ssmaskqR5ERPeNwi1GMmfcg474fzlj4405vhOYXUatz1jQjxc5R4XWeMRGazw/fEhgdJWrSnJ2CKlM7h9yugyKjH2Gr7zHFFFMqWWegOpO53A/w/t7+AZI7Mp93YmAfkgZvjcax9LA9Z1n4PA5kKsgHIIf7WG8tY5lYC3edXMxY2iaQx8w6nkSWpOZ2+IuW8IOmf3ke5HXUleoE6D8/iH0BZE/UQrueSakwzx9Bobj3P6Rx7oRastoHvUZA7gUZaq+vufOfeV+Xo0C+A7nOS/Fgd07Tz64ZAt3+DlPBAy0ejcp+YoSwi1CLf2hxqWmpaVZG8f2PKabqStYZqM6Egn9M8v7e67Du8Ha+1iavwzyXC1riN5f9D8QowwAAIABJREFUAcdNcBcAveDni04avCHIZNLyb0WVULe67ijwz3iQ3XId5yz1bqL5kwb9ESUrVZ59OAJ1nd0J5BJjEemHZcj2VB7tK16Sxmv7JB4+AlkF8g70mhogkuI/OQPh/9rAJSuKscxE0bKa1t/1QG4wSqZ9w+gT6qb7sb0+e63xC8qMYLdJ5n7u3BjkShS87Hjbc+jdT7fzc4bASb/ChfPCiSWf8iD0W2V7/aPx2fejbvmhWaGj/v7HFFN1J+sMVGcC2QiFZncFx9DYpHRkzl6LYNY35rJ2dO5CXJc5Ccj3EQKtV8ImZ+YHEiPPgHSs/LmXsHrcBDjhuSLiZ2qgqIWPR0lQyGNuL1VB5/MHNedVcQchHPN0VLTKBYzHlkYwPinps91Rq+m7ILva5lF5Cs4SmO1dNet9f6Otn5PEw/Ugx4PUTtQTzMWKpJyBIG1AXorqePq0Jt9Eraxb5PdsxVx2/ABG/g7ds6b0SWp3Pc0He9wEG9ZR7zk5f4Z5H1ersOCVWuPipWbM6tmew8z99BJ2O36AuqXvEPD66qjv8Wn72Ix7Qz1p3jPnd+3K3wdnqY/y+x9TTDHFQqB1Qq1Fldwc+QcG/pUBlRE+pQbI2TC7HPqvqSzc1WmRWldFzq90yPfWf+aJmjcM5JbKn3sdtpcbcvsup/iZsagVcCPb81TE/G4FfWf6cRBGyUqV5xg4aKqIG1y+q4mCSixHES2t5kQMSsDyrveqo4zg9ZQZg5kgn5u59UwNEhSgAkk5A0F6g/ynuPq81uwZVtcsGsc7F3VlLCpdApqc/pr81sIFv9iyjuQAErQByGHQZ7b73PWdQwko5bLkxvw3yIMBrq89UPfiSrkjwx0D2QdNMzTWbc6CttSV6pkVU0zVhawzUN0JpAvI82mfdUNBUFpmfrb5I+7CXceVRljcCuQU6FeuQmL6gThCNEdPRULoQQIXCZz+o7ul4uGz4OJllV1KvQ7bgQvgnM8KEYBAeqAuWlvbnqPi59ifg7BUtKqVNcvvXIECR3jGDYE0Bnkb5CNFv7QXQxYMQIXX3I1YDfKgeed3QF3El4GcbG/+NGcgyCiKdMP27vfFy0EOtNS/s8wYV/JqKLC+nUB+BNmmuDEJ7z3ODSjHPp/F9fHiZjD4L/cwBamLxr8eEMD62hjNkdrbbv+lDQoA08nWWoTW40t5DcUUU1Un6wxUd4IO+8KoP+HMd3RD/vAmo7nLmgZBL8luwt0qgeG/gKwEeQN6fwX9koS9MUb4GyQw2Py+POn/Iipctl6pUPHNHoY6LaBrWeqBev4ymPYylC3zSihfiKYR5GgjBIeeCiKYOfbnoC2F+Ap3Hgf/BaOzIsKB1IBJI70ubrb7Vty4ZFcEgFyIxlkdZJdXzRkIcidIf//XQ7e58MZFaHzo7SCbhtSvmiDXmv3VVwsNyB24WLoLXQtRIJ277Anfo0ogz8CHN3sJuyDnowBVvqE5m3rvB3nI73rzaN9BY66/Bzk0w+9qwrlTg1qLIIfBnMWa1qo011BMMVV1ss5AdSb3C9LA36FvTpdAPdRGuGzgItD5Y4xrnQpwZ69LbWeowPlJQl+yMPm+QBvRusckCYRugkyn91UTnqxZvngpvD40tZ+55iX8JxXEUbbnx9957rXYj4Mw6nmVsoAZnYUmje8LMgRNGTEW5CY0BcIDmpev6mmOs7im1UDTM3wL0sg+r1IT5iyBS3/W3GrF5pFLXrP9yuCDa0w7W4LcYy6rZwd5aUbdW18DeQuPGOwi698etQZuV8xasD33Sf1xQM6DshXQ5UPovwB6T7O93+Qav4amQZgFsmGGPq4H8jXIaT6OWw80DUIoyddd2t9A91GZopZQNzA42R5kNMhC9ezxfy2CnItaIU+J+pkVU0zVmawzUJ2peKjxOg28hbNEHYl2Kqx/pwt0ETj578QzFbF75QI9kgTCGUYg7OQhbJ6yxOWQaaYHjGyc33j8kwriHNtz4/9cT3kQekyp6geht5Vj6DKQJ1HXx3EgN6NxOaNQIJQL9eLQa3pQmmm741KnAZy7sLIiYL/dQB5BY199F04K57XvjwEBzxyE5uKrmfRZMzS1yhsYNF1/+yP7oEA7N1Jk/F+Wdm7BJWbafXzTlX+9FkdlTwDZDI1RnYrxxkABi+YGKagXNm5u6YpkY9Ta2zqHvp4As8s0tKJQ5OYKIafLxwoSdEPWdv0Zi1QBD3odCBcthSFL4fDnoW156lj1XATTXzPKirtA9vP23Hjj4gLXTi3Uuv8tyB6213JMMcWUmawzUJ3JD7cgtfJ1XJnpYNR2ygV6S6rL58ik/1dYApMtguWSiDe8SNyFzZGu7ZoL/4jc+/FPKoixtuclmLmWGVh28wunn8UqNqJvJSl8bF4bAgPmJRQBZ+wDMhFF7YsM+FHwcULyMUibtM/WAxmMguP8y6/xAGmPxv8FnhgbzeP4I0j97L9Nto60eVnRQuU4+3MvhxsB6naSrGgkEn37lv80f95yW5dGufRYbnXWaaDgap5hEA2yPx+ui76Hi/Ui6JkWkjHYnOHJY9X1I9KslJUtdVcfbRQ1w/IR+lEl7iSQl0A2s72WY4oppuxknYHqTP7Ginm7W+hnI9OEvgqrYDdJjQlMdi8dk/RdugDpdchUaCWPfxZGrNW0BtkO0tJNBZHb/Eg9kJ+wjHwZTl/rNICe3xd6KSqFuMci1sGVIGPM/3dEwSNuj9q6CDpmDaQryGse3+1grFBzQE4ooo2aIFeby6zv4B8Z2r0B5PYCnmthhNUj7cy51AS5DHXFd3WPNN/fZYM/bT+nuNo9zThmdcvV3yefwclKT0nZe0DWRwGAmoG0A+kPcg30nxu20sr73jDS5bMxBb3DqMvoNNRV3wNVNNkSecdJ5l37d9T2s5hiismb1iMuFsv0kdDnMBjXGGoDq4E+Zfp57kVkZTnQJXM7O7aHPdaH5cBI4BfgdmAIcA1QAxBgmuGjNvC3+fcG4Gb02RvM518BtwA7J7VTG6i3HzR+M6lP7aBPU8ep29rw6VauBHYEjhHh73z6XiKlFfCuCOtsMxJ8WfkDzK+v62TqJFiyCKaPzDD3KUVkZbnj1G0NZWOhXv18n4942Q14znHYF3gJuBW4UQSxy1Z6WbwosQdUlNXoXPhSngJucBx2E2FW8hcifAe0dxxOBO50HD4HBovwfa6VOw6bA48CGwAHi7DMJ75zKdcB3zgO14mwMNeHRHjfcTgbeNpxOEWET4JjMbU4DvWBh4D1gAPNHLiVR4HPHIdBIvwZFn+JUrdupnXpODjA3cAVIizOrc7t6ifOtanoMFTUXxs9xxp8A9QEfgAWAd+bfxfB77+n8lPxXL36eXcv57Jdffc2a7h8lnyc5v4Oi/C943Ak8ALwP8fh3Io5d5y6DeC0N1PvLaM6wssDRU66s4AOxSUucbFVbEuh1Z3CCJpWl6hBv0F/Y72rsAiWS2qsX4V1sEeSFnGVuOf680IlPfWPfDSjVKFUEBnG//9ABtnmI6S+jjPz3sE2L1EjkC9ALkUBE3xJTxAMn8FbY+HjO6DPN5nisEA2MtbT5SCDyCGeD2RvkNlozGlg8X9ZeLgW5O4Cnz3FWONCyS8HcjKK0jo6FwsOyLsgp4Y8njVBboVZs6B7ude6RNOsfJaPJQqaTkh4uHjltD3rPa86bbivK8hWrpZA93CNPMZ+Y5AXQF7FJJqvyi77McVU3cg6AzEFPMFIW71U3HEStFqVetiNSRII3zfC3wwjCLYVOPYv6Lgm1Y20gmaIeyziaZOzuewk8VaRCqJkA8hzQatDUer2s81rCGutvblQCkhd2/xEhRJr5HKB0evgkcgKgJV59l85pXV7X+Yr/152R1E9vwQ5zLteOQN1Bexqd+xkK5AVIAWNmXmPFhNgihwURfImkAXk4YIKbw1XBN9wcngaIWQCGju7WWJd9v4ahnyfJABuYcYsr7hrOGRCQiF6hodi01u4Cdt9HaQdzFsLQ/5ObbNTeWUgmE7lKuQW9w6j8br3g3wEXZpCqyWpqaYqxqq0wbtiiqk6knUGYgpwclWrvBSTlDkhoCVb+Cri/dqIe+L5Nr/Cvq9C5zUuB12L9Iuiu5ZwhkCrRalIZrInBaSCyBUiPJzxdbsAdF6jB+8/l5MdjCWjysU6pq21hmatXY1HvFd1osQ6PW2yAk3MCOWSWApUiCUBBSbphOZR/D84e7/EPnD4w/Dx7SDz8xUCguujXAVybxHPdwP5DqRxALztCvI5yLMgW+b+XJ0GmuMxNIFnGxRE6H8g66d9t0GyAhH1QLgj/zYqQNOGepx/2fsXVgoENMXOX8rbR7fouk8+e4NU3IgDn9wFg/5MHZ+h5g4RWwJjiqkUyToDMQU0sZrweSlJyWJTU0UMlYSF7yJJ5AT0ymWW2wFTWTCaIdA97WDtNhfmLCDPVBBBaV0LFSwzB+j/AyjQFWS87fUQ8Fpb31zWBpsL24W2ebI7Hm7rtOKyJFLdL0zFAM+oNejzBxXGPnl8B6yBXgfa7lsSn1sYa2DBeR9B+qBInTv5yFdXYy29kDzTPQSPGpu8D5/wHMyejyLFuvIJH90Gfb+Fbp/BiDVwxj75t1kBmpYMDjPGnIfN5kZFWQPSGWQdyG8gZ9nhIft5Z3ucYooppvzIOgMxBTCpSGsjAB6e+nny5bRcNEaw898JAdAr8Xx+bh5pAqMHelrvafn3y+sQOusdkKNAmoI0ANk0V8tbvoJl6kWlzRL38bo8SXiW+0H62V4TAa+369C4kVrG6rmjbZ7sjofXOk1G6qu+rlPVJY2IWmv6zSnGawFkCBrjmBPaZeK5dMXWCXsbBc03FOiaHiRqrPs+fN4Pmffh7vOKVQhqPWeuCapf/qwj6Q7yN2oFP9geH17zf8qSWACMKabSpBgdtIoVx6EV8BjQToTJyd95IC+Ogyb/g/80hGH4gQqYjFbqOO0mQu2Gqb+oDawoALHPCxVt+z2B0cBmwOaGNnYcVgI/AT+n/Zv0/1M6J1DOKuob1xgWXuM4dBHhr4qWKqOijaLyeH0DTEdBAjdoDWV/QuMb8u9raRSD4tgROAA4HFggeaAiVs3itU4rkPp8RdoswVIsKrLX+BaOyKjvdpOxWvfiohFptb7TT4W7GkLtxqaPh2VBSa5URLjJcagNs99xnPOnwuZbZuPPHb1xZAf48hloepAIqwvrT5MGiixdCzgHRYb2ay03GVt5H75pG5g2Flfk6yZj4c4GlfftMo/fuxc9Ew99DVa3DRANt+DiOPQE7gWmAKdJHii5/hcv1OAVb1YR9Oa4xKXalVgIrELFcTgChV8/S4R33X7jlk7CceoeDf9+EwY0hv5o6ojlwH3AzN9gXW3HqdugsI3e6+BYXMAB61XXh6+LpPeJ9YBNSRUM0/+/E2y3q/uF8ogzUaj6v4E1wG/QvzZ02SSRJmMVMBy42jzzDXAt8D/z9+ptYdQ6uG8NrMy/uxEvBlr+fnS9LXccTgWes8xWBIrXOq1BoWlgqlJJKKN2mgbzpkH53PyELn9TWLgLTfkLbKmlyVgjAJq/CxNStNR9CLoMhhfOdOPPpEaoBWwEbAjNbq4sUI2tBcf+JTK5QAHwtDdhXMNE+6OBnsC/fVrL+Qr2fioCvhkMffYpNlWT38Vx6IOmvHgS6CHCGpv8+JXSKi5xiUuEim1TZEz+EJrEdinIsYU9X+E+dOwHcMACOH2t+vpfbnz+25YX5s7kXxxfEDGBmVzLUDCK9Y176XZwyueVgQPOFmj1l/7bVkrBTc2n9VYTRey73PztoAm+97fNm21yX6cdV+q7ZRfMKCpk3qs/QGr5M76F7wNBuJf66Trpzd+oP0DWGFfBP0FW6hlw2e9+ujdmGB/fYubynQO/5ywscJfceDhjInT/BOb9jabuyCt2Mxwe7Y1TTDHF5B9ZZyAmHyYROcQIgCf6U19y7iQRBXdpI3DyskI2fnjsbBj5G3T6sNiDI3EIXfY7HDeh2EMonwule3xjcs7FruazCnCBChjtYz+wvUYCWHOjjBBY0/y9Fwo3b/3CEgUE2fiylHX97AIyLwrj6y2wdZ8CskFhdbZ60i8hxZu/9u+C1CYth53/ApJX++d8gU+5GHU+z1+WX2x2eKkZgib3/vReXKr9iSmmmEqDYnfQEiyp8St//ga3HgqNeojwij8tbNYMrkRdPuYD/0HDDGtvBas75+Mq5TjsCR1vBU4U4e1iOatwZ3Uc9gauFCErD9nqc4mT9HBN22ZJ5fjGGug41QYaoy6h/wGuIOEyM3Ofwt1po1cchyOBC4ADoe6OjtNkLOzfDOQ3eHhnsNfPYFz78i9ubtdxSSmNgLJCH/Z3fL3cS7fdGVjmOLwPvAa8DswUQTLVpjF84xrDJT/DdZsV7zrnxd93C8Q1vs9vtz2v9rfeEVjsODwLPA1MFGFtxS/yibPUffjbBXDOV7DOybwP57tvl0Jxi4m8uR5ML8B9OC5xiUtcciy2pdCY8iN3jWEvXzWGqaiX3mkjstcj24DMBenu/zjIWyCtwx17Nw17Orx4m4LHqxQITYS9EOTEKGrjSwU5sroTmv7gHtt8KC9u67jfKpg1E0UdPhPkXmPpXgByH0gHkC1S62j2MLR7G4Ysgi+fgi0b+mGtLOQ989dS6t0+isY8FORDNCXG/SAnwV675oe6LDua5/N2D64KFCTyakwxxRSTF8WWwJIrbhrDW+rB1z5qDH/4MIGW9jcJi+AD5u8awCYNvZ8Hx2EjFCTkEREe9IevlPIjsEUA9WYobhr26fPhPOCenRUtbzf8Ri6MSjEAFP8FHhfhFcdp8rA7smoh4Be+8FcD9tynqo5/FSuNgbm2mQBvqxLcfgTwBHAr0BdYB+wOHAd0B+5zHL6Bjz+C9u3gtu0T+0Lf/eFPEZlc9HtQiNXLT0tpDu3fCNzoOOwEnAFcBu0OhmHr57E3nAk8K0mWxOpV/AU7iktc4hKXXEosBJZc8UJF2zmjUJZf+WYwnLe/CjY1yNfFUS/jPAjMAy4vlhs3tyJYuQLYsti68ynel0WAYys+awCrG1bRw3wgsA3QTv/0H6q/kGKQYDsAl8JW27tfpnbb33E4H3hYCoDIj4vvpRHwqW0mKoqH0FTuOLyNIuC2AbqLMBOYCdzmOGwANIf7b0sIgKD/3t0Y5vimDLHtXpxL+yIsAG4BbnGcWe9D7eapv8i4N3RAD5hqWmLkzbjEJS7hl1gILLnipTHc5UDH4Q3UUjNBhN8KbcEIO61UsNmkIbx/MDxbK/WSc18d/d71YjAWqA+0FskcP5OteMV4wSevwiEhWwIzXoZMXsS6DaBPOr8lf5g7DgcBlwGHifCnfuq1FhO5FQPmaQPUIjMM+B64BO6eCYtcxv/kUcBZwFWOw3+BO6XIeNK4FFUakcES6HfevkKLCAsdh+NRS+AHjsMV6Nr5W4Q/gImOs3wp1N479cnqbn1eUA6rm+eiDDMWxF2Bt0JiLnKl6sU4xiUucSmJYtsfNab8yDs+48DdQM4CedXEVowDORTEKRYtEU6bnGu8Asi5aKqArf3pr1eMV4/PQW60PR/ec1R1kCFB6po5bZ99LfZeAnMWgLwE0iQgfjYBGQLyPcjLIEfkOv4gDUGuB1kO8izI0UQA0bS6UGJuRv6lCJpuKLzRizU1a2c3E/v2JsiOic/jONTc5rDPCvf5liEg/wl+zdlDC44ppphiiiJZZyCmAiYti5BhguxH6MV91iw4f3kxF6pcLzkgx4D8ALK7f33t8om7ANp7BsgDtueiqpMqEeRRkHG5rkWQDUAGoWlL/gOyg0+8bAFyuan3CYrISYhC658P8jXIdJDzQGrbHu+qTNmEOzO/R6mCJ5pCFch6IJeBLAPpllCyRU9otU2pe8MxT8OcJSAnuIzphyDH21hzMcUUU0zVmawzEFOAk4s40PY19wtV+0kgO+ViBUk9SMtFETHPXAOHTEi6wO1lLuetfOK9ll74R/7mzn/fb0Getz3GVZ1AeoJMA9mogGc3A7naWKb/DbJpIVp5kO2M9W6FESp9VDKIY5QXzxrr4PUgWXmKKZ8xrpjzNkt07yhPe5cHLQSZjyY7fw8GLHRX/EQHKRGkqXkvJoBsU9Ws/wGNWQsoW6b5XSve/2GHm/cuEFTQ2ErrNiaxZTSmmGJSimMCq3ARQRynRi0PIJl9gY+AjR2HacBXSTRdhF8T9VTEK0y/GRqdDHvVgu03gr/awvYnOM6Rk+C/TaDxRZJnLkCN/Wl8s+YmrIMik3a4E4ZeDayA346CPg+nxngNWsz/s3fm8VaN+x9/fxulOhGN0khEpmuIRKLk0nVTylCIUCIZIxpQ5gxX5vle8TMP16xkqi6iRERJpSiF6tRBqO/vj2dtezhrnbOHtYdzzvf9ej2vc87eez3Ps9Z61tnrs74To9sD7V08SVG1QogfygfZjJ0SYRfgOqCrphFjqspaYJQIdwJXwjdfw4nATdtGz+XALiKd5kCLBonzF6EtcDEulu8RYC91ySdCQxXFxSK96Y03DPhYhHeB24C3vc8YSRK/Jpevg8P2cvUjI+d8OFAEbA0MAtavBY4BvlFls8isya4eaeEmV1LlEy9O9kpgLhSfpWr13MqmaLm7/p/tHV0LFx4Bn0xV3TNLWUGDklcdcLgIRwOvahXKSFoodVQNwygQ8q1CrWW3lfckFLQRLi5qhGdlmQVagqvv9zzoeNB+oDvB356H8xW+ULhQ411szvo59VjD+q2h9xLXZ2xfwzfBm6MiVsoAl8O93ecXrYGhGbm7VtSWTVcn0DqepeO08OZ75Ivxa3GJlj73A7+Gm3qAPuJZ/q4GbZzb46r1cHXsvvCOwZmgW+b7fOe7JWNBgPpdoHsxXK6uxugX3jlOtP5F6o+er7Dnc6XHSVzXwzcU6jUNeiAuZvZh0Ab5nk+htuDvomPfzP2YJ70POh0XvnAr6J75Pj75PQdV1zJqzVpVbnmfgLUsn+C0Cg1rdVwShGNBr/LE4CI4ZrO7qeujYXyReAki0uoLtKn7Au/5fFX9UsvmFzroPaCPEmLSlNIFka8IOPeX/wI6Kt831DGuoi94Lms3VFVX0WT+j7jPHF8c/5kLPSF4nne+x3o/R8R8Zr/n/MeLPPjp8hgs+Ar0hHwfhzLWSj3QOz231sPyPZ9CbMEF0fu8lb0x67eGc38pIw51B+87bgnoXFySmib5PlbZORbaAoZ/638OCsfV2po1a7lr5g5ayUmv0DCbgAVeezryusiqn+CShtCATOvDibAt7L6vq0OYVl9esfi6RYVQqy4/BLk67bW/CEfiXHu/U03NnVGE/sChwN6pbls2iSUlNuM//68+VOXa8MZNl6JW0PFUaFYfSqbDhK1gn49EeI8q5yracULUhQyixb83TRbhDvdar7Phvvrxn7kSGA2sA84EngT+wJXamwEcCGzXIHG0xFIsnuvlyyJMU+WH8PcvM1TZAAzzykk8LMKzwChVfsnz1AqIoJIyK74La4TS7vGPTYedlkLP2dC4WeL3nypfA2NFuALoiis5M0aEGbhaty+q8ltw/4UfeiDCjrgyOgNgmy2sKL1hGBFMBFYBwig07L78jixyReMnUtYXSdAXpQhbAL2Ak4CuUHuNEwLpfCkVNXfWBfkbjAFOB1qlsH3FRgSBevX8j92m34HzgD2AGiJx8Z5zgc81IMZP5IqDYNO/Yek8+PpOkTBvcuaNhoFdoGMrJ/4/BeYDHRLm/93ycMZLn4DYmUWw8mCYcjBwB7BJhNuARyv/zX7QA4emOwBHu7+b7uj/mSXANbj/HVcSHxvYkGSuVVU+EuEB4C4R+haq+FbldRF2B24H5ohwsiof5HtehYFfQfQR34dVQ9X/mh19HKw/WXX6/5W1rSqbgbeAt0SoB/QBhuLW25PAv6HoB9f/Ze3cw4wOQN2jRYqOVC2eHsY+hIkIewKjcA/0ngSWwTGfwVl7wF2Vqo6tYRhpkm9TpLWK0aKuh0s8166TNd7F5sQlzvXGz23stOUw5zEvxutN0EGgRcExga6v4Ln4jRGJO6r8MYGgW7qYuQXzYdDSsl30tAloD9ALQf8D+gnor6Bf4sosXA76D9BWsMuOMOK3bMVXuvM2YEl8/ydtcu6C4Y8XznpXX1dbz1W0O+h/q4KraDKux8GfOfrPYNff7sXJnm9c6ZHPQY/P9/FIcr79vJiz8aC18j2fQmhRN9+TP3JrosvO4fUdvns8LoP25aAL4NJ1/vHwxye9hnNzjPUgXP3U77z/+3/DxayOJ65usGWytWatqre8T8BaxWgunmNJTIzPGeri+cZ6P3sviX65+H0RnzabmALL0X7rt4Y9n4NDVkKvlbFlJ4LnEjTGISsr+5eaF8PyqROBumU6X+i48hu7gQ4AvR70NdDvg2/UQ4kxrO2SMfj2/00h3ZCANoBhXycbOwPaFvQm7yHHs6DdqGQF6JOPCUz8zPHFsM/rLlGM3/E8ekaK52Zf0JXZjNsKM4U+Lnb5RdDZoB0rcnr+kI/LRd4aCK0+IBz7tv8aO/adTOaPi5E/Ci7fmM3/kZntuwro30HfA12ES2a1BWhn73o5Pd/rx5o1a4XXzB3USJIV38P9OHeuicAtJLghtoIrP4JaDfxdwtasVWVZYq+eq+Exqc0lyDVt6y9Un620adq9lOb3A1cAd6mikLqrr7qU6J957VGv77/Dny9B3Wrxn84svtJzrRoCXACNawe4FC5RffbQdMcICxGaAiOAM6B6cbJuyqp8A1wowjicq3OlcxWNxhZvNRV+/wM++zgxHioo/ti9u9WnUFK/9PFcvTi1eTBLhAfJkluoSFEX6PQKdKoPNYEJwFVpu/ypstK7bk+Fb96BAQoTt6lo6fmzUFqgH/AG0Bd4PbO50Rg4C3bu5H/NdthfZPa/oe8hcHvLZOfvyg8xGDgNWAHfzoGWnQopBl2E6sBjpdzwAAAgAElEQVSxwKVAdXjtfpjQCZocD7UGwtW7QNuBqryWj/kZhlHg5FuFWqsYzT1FPfYX9+RzbMBT/ZM/gm5PZftJaVVLc+09ib4a9FvQ/bPQ/3buaXHv18M6rqANQceBrsa5ne4Fhz1diOfNs+TdBfoz6O2grTMpv0G8q+hqz9raKjf7ErF2/HOms7AePiNMixPoO6Dd0phXl9KZQ9Nz/SVLbqFlZzftXgw77uCs71oEug3O1bqFWy+6I2gH0N1x7nedQLuAHoJzx/47nDKrENd/Oce6CPQwGPxJiP8bWnvXRXucu2z1NOe2M+i9oGtA74OJ3f2v2fM6wRmfJjN/nJdEH9BXcZb9SaB7RNdH9+JCOIegtUAHgy4AnQnay/9/1qnLKpK12Zo1a7lteZ+AtYrTnKtmbI0vLfVFmM3addF5ZH+MQmm4Oo5TcLGUodfL8wTmW6Bj/I/riI1wxK4p9NcM9EZPUD0AupP3eg2Y/z9XT7IwzhvoHqCP4WL6JiQeX3c8RhXDif9LV0iBtgO9mair6CHExeWE5xbof/4iIia0+pHLQVumP78DJsN538NpczJ0J9wXFq12DxbKrFuY9HGGAx/1/792hTp31nGbQX8DXe+t71W4uKuluJirL3F1JWeDfgg6wxPNU0Ffgwt/jO870gojPT9oNdBdPXFxn7cvG0Dfg+FLw5o7zhX0Pu/3OaBdy18z0fOHc7d+yROQV8Ret7BNGxj5E5w+L/Z8B5encPPHudlfB7oC9F3Qk0Dr+MwntIcZaZ6juqDngy4DfR20K3/V061aD0etWbOWecv7BKxVnBa9yfQLjo+tvZT9wPOqENwOup93g3ktaI0sjTHWE5jV/Y/rnEdxSQbKHJ94a9q/QFvG38AN+Rw+fxuatc3leQu4iTwI9GXQ70EvBi0qY78Wgu4YwnGuB3oW6HyX0Gfwj6kkQ0pujKCbwCtCuRkErYNLKpSW5Samn7956zrtNe3OY9kPFIIfFo3pAno46Nm4QuEvg34FYzb5C4VI4fvMxFoub9KTEb+g24IehUsYMgV0nSdmJ3vHZm9n/TxgMhy2KkRL4IegPdzvMyfCWV/6zdPtw4lL4s/f2Rth4de4mDcfkaaneeJb4l/f87loDPsVGk0idsJ00Gk4QT8RtNxENfn47sF5Voz15vk06N6lP1O20LVmzZq1xJb3CVirWC36BdhjhnM3OzpUdzNrGnEnHOp94ffO4jhdvSffzcv4TA3Q12D2f/xuKkE7ejeNP+FcVhtH10niDfjJ3+RynfjP4dxfYeES7yZyiySOUSgiMP7c9prhf0Ndumh6an0H3QSODeVmEHQX0C9DOg4zQI9Jf/sgQXXmPFySnkkwbIH/Zy7b4D34uAdnlfqn27cuj/l//h/qHnxlKqJz48HgP85JX8OdR4EOwyWVWghajLNSTgDtBdoouJ8lWjqLc+pzJ+oKWsP1H5zdOOp5kng+OvleJ6ANvP9n+5Tej0Qxeb7C6X/CF++B9getHeY5CO9cajNc5uGfQB8qS6TC6XPNEmjNmrVUWt4nYM2atWjDxRz9G+eKFZr48BlnW5xL0RHlf7ZXR+cWGnsTddoymPc6ziVrFGiD+G3y75oUPIcDH03hOIUqAl2f/1jpL9Z6rczO/kYsgV2fSL/v+q2h31vOpTHzhz6gJ4C+mf72QYJ32NeesDsXhnyVimUkIKZKYUpoYi03XhJB6+CSNaD3g57uPbwp06Jbup8l6qxpvdLOwoyzvN9b9jzP+Az0bOi7JpXrBOeG/kDyx6Pb62Ef+/DOobYFvRvnWXEb5bhguzW/cBGcsrhQ3O2tWbNW+M2ygxpGHnFZ9zpOcBlPS4ph0o6w4yfA/qqUZGdMBHgY+D9NKmvcT5fC47WiWfHqAre1gLNXwsNt1Df7ZWBx8Rxm0QuaQ+NmuZuDH+vxz2K4IcN+/Ypxj8MlOBwHPNRThFuB29RlNE0Kn8yQA0LIavkMcLMIu6jyReqbr/je/xjOeV+ViW7en+4HJe2TyfAKEJ/dtFEbWN0M6q2AsYsTM6Gmi9dHljMYB637BXNUOT39floB44E+X6jOTHcf+gGXlz3PWnWBjrCxTrLXiQjtgVPdduXtR2ScrWqmswPZRITdcJk+ewL3ADursqqcbc4ChsEOB8OzNWBBXHbeQs88axhG/jARaBh5onQ6+v7ATT/CY5erFmdFAHqcB2zLXzdj5RF0E1W83l8AQvBNuv8NeHYohDnEI0I1aLgKxjRxN9QRsTYGWPu/TPoOFjEXr4HbDoA2JwMHAx+K8C5wMzBDtbwyCx0nRAUg3pzvbufGSU/QqPK7CPcCZ3stRfwE79BF0ZIUyX4mcV65EGnZJqx1H+71I0IboA3wVtn9z56pylkiy5vCmN5JXic3A9epsjLb+5ENRNgfuAzYD1d/aZgq6/w/G/vgsM4WcGVraNdFleVQDBV+/RqGkTPybYq0Zq0qtrLT0WfPZRJ0H1ysYZvkt0ndtbMQMrjCs6fC+X9kMocw3UFBW4JOgy8/gr7LookqRiv0XpLNY+O5Xy7CJZio59ztdCHoLO+9msHbBhXhzjjGsLnn7tYgve3Ld62sCgmk/Pd52LrM4/fqt4Zha8O6hmNdQaP9B/+PcO/3XlLedYIrkr4AtFbwfhReNmlc7HcPXHbmJbh4zVLJbsrfl0FL870v1qxZq5jNSy1sGEYuEek8GaYMKP10eiIw961sFE8XoQiYA1yiytPJb+dbKHoRvFCmO2D0iXWbdtB2L1iwn+oTn2a4G0nOme2Aj+GR4XDXP9N1jxJhIXCkKgszmIsAJ+NO7k3AjVC0vTs2uXPbEuEmnLvckapsclZJegHnAzsAtwP3qrImZptWcMlsGNuw9Frt8WgGboGR/p8ApqsyKZN+jCgi7AzfzIDT34Sttk13fYmwNSxeDGdMhaKGma5TEWYBo1SZGn0t8j/C/zoo/31qAZ8CF6nyUvDYZfeTS7zrrjfO8rclcC3wuCp/lL9t0PfGoc+rfnBMViZsGEalxUSgYeQBkb7T4Jlupd8ZDUzL+Oa69HgI8BiwVpWzUt8+s5soER4AvldlTKpjp4oI1YE3gamqTMiwr5REYLyr1orvYddb4L7RQDvgJFXmZjKfTBChBvA68KEqoxLe2wsnBnvh1sm/gO3d79Pvh3uOT/UhQJJzOgi4H+igyuZM+jIcIjyPc/O9McN+LgF2UeWUEObUBvgQaKbKn5n2F9Pv+cDhuGu0oG9mRKgJnIiL+VsPXAP8N5V1H/y9ceyv8MYuFv9nGEYqWEygYeSFoDiVD9aXFbOUAYOBXYFO6WwcQqzUeOBjEf6lyo8Z9JMMY4BNuCfsOcPfYjrmeJh1H+x7vCobczmfRFT5U4TjgVkifBxrDVZlDnCyCM1xMXoLvLfGQ5dxcOT9LgYwdEvKdOA34DBgSgj9VWk8Ub0XcHyG/dQEzgH+Eca8cAlhng1ZADbGWdMOLmQBKEId3P/fi4Gvccd1WjJzLv1QadM6/++NDnXg+7RjdA3DqJqYCDSMvOCXtOLsTfDVP8N+mivCrjhBdLAqv4bZd7KoskSEx4GRXguN+Bsl/RMm7glt91BlU5jjlI9fApXx1aFHfdWZeRWAEVRZLUJf4DUR5qvyecJH1uGsll8Az+Nu3v8BxTcDp6nye8jzURFux90YmwjMAM/afyMwWpXfMuyuH/C1Kp9kPrO/+rs0jI6i1/t+3WDjj/Dor15ClIJChAbAMGAE8D7QX5UPkt/e76HSKd/BWZvgrurxGYCHA5/nMPOyYRiVAROBhpEH4jM5Rqwr920LD/fjr+x5mSPClsATwEhV5ofVb5pcA4s/FzmjLTRo6J5sZ2ZR8r9RGvE9PFk70xtD1/c5TWDpf0QWL/KbqwhbAPsCB8GBf89/WYzyUeVjES6Gr18UOWMWNGzkzsXf74MxtwMfAfuo8qsIY4AjcK6i14twB3C3Kj+FOKXHgGtFaK3KkhD7rWr0BWoDj2bSiScmz8dZ7zNGhLa4+hLvZN5Xqeu9OWyYmmG5klDxLJTnAUOAV4DDfB62JIHfQ6V/bwd/L4briqAarg3HJXsunGynhmFUEPKdmcaaNWuugTbwstydFGKf94JOBpX871/91jBsTZhZ+rJVlD44o+ARu4L2BL0a9F3QDaAfgd4Mx72Tjblk8VwkZH48/094a3TQWgHdHfRB0DVeIeudQ1ynN4Fen+/jUlEbaC3Qr0G7h9BXFy9zbLWQ5jYS9O5w+srO9R7SfrYCneRlvL0zlQzM/v31meaflbfHjELMdmrNmrWK18wSaBgFgirrPFe9aSLMVSWjTJoiHAd0A/6mWggxMx0nwA1bla43V/91Ed7DWTHKarVKv9ajTnasb0G18W74BJgJvAdMAP6nynoAkVdaw1CfLKpZifHMkI4T4IYGPq6rO6vO9F0r3no8TYRRwFnAOyJ8jKvR9maGa+xO4H0RrtA8uSxXcIbg3DenlvvJ8rkAuFXDS9TTH7gknK6Capbmz9ouQgfc/v0DuA+XTMenXmGqBMWNb1gM7w/IUoyuYRhVCBOBhlFAqPKZl/HuGRH20YCCweXhuWBNAo6IiJT8E3QDtxngA2Bjku336O9v3gsjTwy/EHTQXD+fropPdr4gF99CvTlL/2ZalR+AK0S4DhgA3ApsFuEW4P/Ui0crndQi+FioskiED4ATgAfT3q1KRLLHz4s9Gw30yHy8zrfCPkfCe7+LzHk5hOyvbYGWhOAK6iicwu8i7AOMArrg/tfuoDHlVTLHL258aKxbuiWBMQwjM/JtirRmzVrpBnoHzHvNuT/1SanQtecaNgv03HzvR/y8wnflylYh6EJ2Oyu0c+EVvT4c9FXQlaDj4PS9Uz0voEeAzikE1+V8t1TWNeg1oA/larwU18YlYbmCZnOeKeyPgHYDfQN0Gei5oHWzuw56vw4j16byHWDNmjVrybS8T8CaNWulG+zRHkb8ls7Njhdf9UKh3Uxn70azfmt3g3RMSmI5H3MtlJbFm/5dQO+BMRtTFZmg1bxYtM75Pj75bsmKdNAWoD+Bbp+L8dJYDx+BHhrusYlc72cthLMXhn1NRvuPPnzz1ubRoP8D/Qr0VNBaYfSdxDHsBvpWvtekNWvWKl8zd1DDKEi2HAtX1y4dk7aozFpQIhyFS8e+l2ohxAFGyZa7ZDZcoyqWa2fqZO9c8AUwROSrXaBul/h3y3Y3VWWzl330HFzcZZVEhLqwyx5JuuteBdyryrL0xoq4nDY9MuxYO88VdHvg3XT78CNyvYuwPfAJ3L4irL79sw2f3x0WroUdf8EVeH9O0yg/49/30P2TyGxaE/gj5Z0xDMMoBxOBhlGQBMVsdTpUhGOBKerFC0Zv5Fq2hh3+Bu1PVj05zBT+oVGRYlkq0lzTIbv7t2wplHRJI3brYWCcCM1UCe3mvtARoT5wFHAs0AMalJQX+ybCbt427dMbM1aUTCQLsXahF4iPRZVlInwG/B1X0zIE/BJC3dIEBn0OT3XP7MFaULKpsh/s4e7TsnIMDcOo2lTL9wQMw/AjkgAhlhJgzXfAacByEd4RmXkdHPsuTBkAjx8Io+rAlOvcDZ5RmRApai3SebJI32nuZyGf43mj4YJV0TWcXKZUVdbi6lqeke0Z5oqg8yZCAxEGivA88B1wMvAy0Bbu6+yOV+zxG/079Lw3pusbgKs1zeRR8aJkEK7oeGrnqxz6A09lsH0yPAacGF53QQ/fNknmnhVpJ2OqgVkCDcPIAmYJNIyCJCgz3Av9VB9e4hWBPwQm3wKTtk/j6bJRgcjAlSwvOHfTzz+BM+vBrxtTdDe9A3hNhGtVK97Nb3xWz+Xr4LC9YHKr6Hm7oIfIF/Ngl32Bt4GngVM1LrNk8U+l3XWv+QoOeUqEgYDiLIC9RSgCtga28lrs74l/x/x+WIwoaYUrOj4RmLsGVr6SiXuwCO2AFoTsCurD08CNIhSpUpxKRlp/spl9NKjvrbeOzD9gw5qYJdAwjCwgqgUVNmQYhkdMvE5gzJZI32nwjE/Jgj5vqT57aG5mamQbkc6TnbU38Qayx6OqMwtO7IuwBbAKaKvKj2ls/zZwpypPhj23bOIv1scAI3BCC++1M2bAY0cC64E6JC/g/glUjxlyE/ALsNZra2J+T/w74b1DroeXj8vGmhLhUqCVKmdl0k9yY33+BlxbD1YrNNwN7q+f8OAs6QclIlceDOumuZqZ6fUR3Lff2hi+DM6fDbt1wdXKvC3xevHqvfZR5bhMxjcMw0jELIGGUaAkF7NVOHWzjGwS5Eq2w04iVE8nUUWWOQT4NB0B6HE7cC5kJgIztwwl0/8e10Dz7aH4Z9i3qHTc13ichW1czGut9wIW4sTdZsoWcD8AX3q/3wUMA44BXgX6q7IhvbnPvhSG7uNXhy6d/hLoB1wUQj9l4o7/8bvBPU3dMb6IdL0inHfFuEnwzlXQo33YCaGiyZgW3go7Hg3f/wg/fwwHng/FNYCRwAIRHgJuUiXyP9wSwxiGkRVMBBpGhSa4oHC+Z2aESZDYb74DsEqEqcAbwBvpZooMmV7ASxls/wJwqwh7qDI3nQ6SdaEVoRrQgJTdKRdtC2c0hqskxrID/Ej8eaqL03kRSoBP3gTOBNaq8lvy+8QWwP24ZCiDgGki5w+HD4anKnSzlSE2h66gOIF/S9PoMU4vw6kIAtwLfApdx6vOzKKL1I4d4W6Buo2gpDcM3Q2KuqsWnynCVcCFwDwRnsDFfVpiGMMwsoKJQMOowFT2UgZGhMAY0e5w3R/A4V67XoRVwOs4UfiuaqkMQ6HhY2m7GzoOhUP6wtypIu+1TmctqvKHCHcBZ+PEUhoEZWNs8r4IK4kKu/o4t8yyrHELS7839Ap4vk98/5OA63DWvwglREVg5LxNP1eVlWns1DnAXFVeE+F1mHkdyHSYUiOdWNEsZYjtBzyTG+t0rIW8Ghl4RZwNdAQ6Z7e0TtkZQlVZDpwvwjXAecAsYBtgZrat2oZhVD1MBBpGBaeylzIwEsV+8xaw095w5BjVR5Z4H3kIeEiE6sBeQE/gUuBJET7ACcLXcS6aodzkihR1gU6vQKf6zmNtAjD+BDitGnQHSnrB0A4ZJK+5D/hKhEvik6YkS5AL7Y/fA4OJCrriVARLTKxuN+eCOIhovF9dYP6vUFInKsrOXApfzIHPG2TykEaEhsAlwEEAqqjIRdtFBWBk/LwnhuqPs2blgFgL+SCcy+2VpOIVIcKBuMDNzqr8kq2ZitAK9uuWjLVSldXA5SLcAHwGSzvDKfPguroVITGUYRgVAxOBhmEYFYBYsS9CX+AKEZ6KrcPmiZmPvHa1V3+uG85K+DRQX8S5jeJqTf6QzlycEDrqlfgkHOOAMdWcTtkRJ4zSFySqrBLhJVxJlJtSn2WQC+2CL1SZk3p/QS6m43BuoK28v5e9Dj1KsmCZvwxnYfsy+lLaZQeyggg7AM3JiSsoxFvIW+G0fe/1UHcedNwTdh8S86DEb75NcSVJTlVlUTZmKEJL3LnrB7+ugJLmyVorVVknwo1w4wi4Pp0ag4ZhGIGYCDQMw6h4PItzYRuKS6Liiyrrgf96DRHaAj2APsAkEZYQtRLOUGVjcsN3nBAVgOB+XomzjO2OV/OdEATJ7cBjItyaunuhnwvt8OWZxcv6ufNF9vsinOVp/vlhW2dEaAOcCuwa/07BJYaKFIjPSaKistzhRbgWFzv5pt+2ItTEJR66T5VXMpmHn6smFG8CRgHH4azaO8H/1YNfEuNUy7NW1oRqtQpJ7BuGUTkwEWgYhlHBcK6AjADeFOHxZLNwqvINcA9wjwg1gE44K+HVwK4iTCcaT/hlsOtokAXqD5xraGwMXEaC5EPgZ+AIXCH1pCktELasDeMawYPpxOJ5BO333DXQI6PaeuUwAZhUOo5w7Icwuj9MqFkgiaH6ARfkcsAy3OEfAGaKcHnAw40bcbGg433eSxp/6/DIXrAYaHMPsLPn3gkU/5hGDHcN+H19gYl9wzAqAVYn0DAMo4IiwiSgRhj12LyYs0Nx8YQ9vZcjrqNTVfk5+tmguoUnANfjDCwRy1hmNdZEOAU4XpW/p9uH1494E1ummrpQcduf8Qncunsu6zWKsDfwItA+thyEl4XzfbjzFJh8Yr4TQ3muoNOB7QqlZInIlzPgyk3w+5+xyVREOAEnrPdJL940doyga+Hop1Xf7JdJ365/LoMPm8PkQXBt3Xixn3n9QsMwqi4mAg3DMCoonnCbDxyebimFgH4F2Ilo1tGDvXE8K2H7ldDptQRXS+BE4IH18NNnsGFxSCUHtgC+BQ5UZWGGfW0DzAVOUfV3EwzYri7wEHzVDq5tCHe0zsXNuHce3gSeUOWemNdr4QTXo6r8K+xx00GEUUALVc7O91zgrxqC78MtTeLP1T5nw4jJQPcwrhmRvtPgmW6l3+nzluqzh2beP+OAhrD4VDj1VWjYyLJAG4YRBiYCDcMwKjAiDMWZ4A7JVnp7EWoDnXEWwsOBtvD5+/DEobB6DcwtgXorwhJ+PuNfC2yhyvkh9NUTF6O1uyprk/h8S+B54DNgCBQ19bKDZt3yJsKRuKQ4u8UmABLhOlxJg39kt6RB8ogwBzhflbcz7yvzcgjBFrqr18M1w1SZnOk83TidnoNpvbNlHRZhPO7pyqeqHJNpf4ZhGBFMBBqGYVRgvLIQHwPXqvJEjsZsjEswE7mRXkQ0lvAtVYpDHq8VMBtoFesSmUF/twNbqZadWVGEzrisqjcBN+dScHnndS5wmapL7OO93gNXEmSvaKxZfhFhR+A9UnAFDRJ6/jF2qVtbgy10I5ar/mv7ZPspfx8OexvatHKhhbFlQV48JIyHA94DkEuBE1R5PNP+DMMwIlhiGMMwjAqMKptEGA48KsJL2SwOHzPmKm+8dbgC5iNxFsJzgMmeVSiSdXR2pjFiqiwV4V1gAETdIjNgJDBbhOOChLMIg4AbgEGZZo9Mk1NwSXFejJlTY1zq1ZPzLQDjRdzWW8PZr6vulYIATBR6wzqLPHYZ9LkA7gihHEJQ5tTZ7yXfR3l0nACTW8GPuAyxm732xZwQrcPNvJ8vlvkpwzCMFDFLoGEYRiVAhMeBBaqMzeGYu+Hi1XaJeW1LXAzh4Tj30abAVDxLoSrL0xzrMOBWnBtnxl9cIuwLvAT8TZXvYl6vjhN/RwNHqzI/07HSmFtd4CugryofeK9Vw2VInaPKZbmeU/z8fK11G2Heq7Co3BIZwa6aV6yGDZvhrialt/rnTNUXDsxsjuOA/U9RPfY/yfYT3D81YMhncM/Opd8NJx7QG+dXnCu0hNGfYRhGBLMEGoZhVA4uBj4R4UFVluRozG+BViJIRJip8gvwmtcQoQXOdbQncIMIq4i6jr6jyi9JxoBNA6rjBOY7mU5clVki3AE8JLLtEGg/Hlq0hO3bwemLoUOn2IyoOeY8YAYU/SDScbI7Lg0awCXATuPyNKcY/Ool3l0brusNS3YTKSrHdTOo1MaiebCytb8Fb3UzUiBaImTVLbDvUfD5W9Dnfjj2XyI0Ik33Xi9ZTx9gAhQ1zEHphi0IqHVoGIaRCSYCDcMwKgGqLBPhVph3p8iZP2eSVCOFMdeJ8AfQEPgp4DPLcTFsD3lWtr1wgvBS4EmR+XNhwM4wcZsYq9L+iULCq414O87lNGMR6HENfDULjv0Qbto2Ov5Zv8LzRVCccxHouXyeD1f2KW3JOmcpPLMd5C8rpIv/O+BwfxFXjeRcN8sqcl+/NoxrA1cSb8GrtyL12Rb/ALQGRqpyqzf/D4AXgD1EOFOV35LtTYTuwLW4e6cL4J75sDLV4u9JjlXUGvabCAcCSxuIPNvasoEahhEmJgINwzAqDQc8CfuPhSk1yhJUIbMUaEWACIzFiw38yGtXi1AEV/wXHtwmyRiwR4AJIrRI1600YT5/ipz3LTy9Z/z4d7WDr1OMQQuNMcCj8PqZMCXB2nZ7K/gqL/PyymuMBQbA2m+hpFFpEVfNm+fOHWOtw/H9FLWGDnVh8J+wYw04HdgWTzzdDbs+BoOJxthVw/09aFWK8xXgLuBLiJbRUOVbEboADwLviHCMKmVa7kToBFwDbI87P0+pshmKSaP4exJzL+XKug9smprl69gwjCqGiUDDMIxKg4yBCTUyT6qREhERODvVDVUpFvlzs79VqWlzn8+vF2EyMBTI2Nri2LJ+suNnGxHa48p97AzNnsz1vKJuuY3bwqqmUH8F/LIUrv0GugwBngA6wFN14XefeLvh3u9NWgNvi3CJKu/H959o3RzyK3z+Oiy6Cf75MFy2PTxAvCVwDPB7qrszBNgb2D9RjKpSIsLxwCjgQxH6QtEPiS7JUFwXuNrr5yrgYVX+iO+reAmhX1uJ7rY/Aq3bwSHvi3SeajUCDcMIAxOBhmFUGcKoP1bYBMVaZVXQfAu0TH/zINfAP34N2OBOnAVnvCob0x+3vPHX/Jh53ylzDc4E1hhatQ8r3iyZdR+QSKUNDO4Md5XAzH+qjvRi04pXOwvY5pdhU3tn0RtO1KL35uFwbVfgKRE+Ai6Dol+h4zRo1cbt4iDcs4N76kCPEug4NDr2cO8w/AHMB24GljRIfn/ZHyfaDgzKlusJw2tE+Ay+eRlO2AQ3N47u+yVHwze/Q9trceUZgtZjFoi9jmfgRPEkoG4TKBmQA+u+YRhVAVW1Zs2atUrfoH5rGPg1bFBQdT8Hfg31W+d7buHt4wGTo/unMft5wOTsHdNTZ8Pwb93YqR9L//Ny+gpY9CNod/9t9A3QgdlbF8PWwsJFoO1zd+70ANCNoA+DroJ3x8NJizJdr2Wte9DaoC1BO0H/t/3XzhWBawh0LjzS3537Y6YlrgHQOqAXuXN59rr4OVyosMT7+5hp0Gda/NiRNjalNQzaBHQZ6D+SP0ZHvui/710fz9X5j59P5DpeovAPzeU1bc2atc1S/FoAACAASURBVKrTzBJoGEYVwTejYTvY8iUvS+SymLZGNXeFwcNj3mgYun+8NefiNWEkqkgkajmaFBkrLQtFNItjfFwV3Lc98LQIF6jyaMJmtwOXES1Wnzbx43fY3bkyLugMOxwITBdhoCpvZDpOWYhQB5jp/bkG2Fn1oJ9FjnrAxSZmEm8WtO5bf4kLuFsFrITtW/tbkTfjZ00WYSegMQx8RnXgk34jq7OeTRQZvC+81D9+DlfirH0XEbVu+lk+NwOj/4Q7EGFLddlnfXFlG3gc57aZQl29Ler673vDxsn3kTnx7ri9SqB2XWhEvOU0MrfcuysbhlG5MBFoGEYVIchVskFzYAIuw2WEX0TiRGFs+xZYpsoGKCwX09KCau1PcM+ecOexuDvJEImIi9hC2a3bQbtbgGNSnTel46qWiHAo8KoIzYCbYoT5y8BtIuyryqyMdiNhfBEeAkaoMkSEr4AnRbgWuC2MBwPx62Xl9zD2I+h5i/f2Tqos8JtX+gSt+wUfAoeostnNa+ZkJ+T9kr34uqH2A55Wl+ynHBo28p/DH8Rn00x8gBGJF2wxBva6FPhYhBNU+STSS/zxbNQUzl0Fu1xR/pxiKStbaW7wd8cdA4zAudlGYi5b5XxuhmFUUvJtirRmzZq1XLSyXCVBBbQ56BGgI0Eng34K+oePi9qvoL+AroEF82F4Sbyb2+Dv4KquoFvke5/dfmsL0CWgp4bbb59pzl3tQo3f/wG/hOli683/M9BbQKvFvD4S9OEsHK8i0MWgvby/23jj3we77OjWS59Sro/J9e3nmjniN88tsmeu1335c7tQ4QtfN1TnCqoHZziHb+LdR+u3DnIt9cYcCLoa9DzQav5zPvmbMF1ms3FOUjtGV/i45h5fXJnc2K1Zs5afJqoV0OPJMAwjRfyftA9dBC8Eui+KUAvYGdg9oW0JfAcjG8E4n1T512yAq2sB6/C3Jkba95qQbTAbeK57bwNnqfJ8OH12ngyHDXDl/hL3v8ejqjNDy5gowla42m4rYc8xsOVY2L4l7NQJlh+g+mDKmUnLGe9gnFvhHqqsFqE+fP4M3NsFrqmT7Pop3W/nyTDFx9o2dgXctJ1q+C7IIu13gF7zYXyN8uYdtao1auOKs9dbARsWJ1q3vfX0FrC9JmEJTOfaC+6LtsBjwBroXgIv9HV9LgUexlkXpy2GeYem0nd038Mr9ZAKIn2nwTPdSr8zDuc6C3ASsHI9fHCkavH0XM3NMIzKibmDGoZRJQiKPSvrRk+V34FPvfYXIjQCdoP1d0PdRvFb1QXmzwK6A01wtcVi2z4xvzcWYTUJrqYJ7Qf1XPbS33e+EqEXzrVynSpvZdKfY95o2K4P1K0T/3r48UqqrBWhJ8x7Brp+Ei/ELnpDpGifMG/YVXlXhEeAe0Xoo8p6kTNXwRt1Miu/EeSa+d2qsAVgVNR03Qt+XQtdpkObBmWt+xTcT/sBzyQjACP9hlVPT5VvRDgIGAudRkYF4CRiykq0gaEp1dXLTqmHVAhySa0W8/uilMWtYRhGECYCDcOoMoR1o6fKamCayNwPoWRHv1giT7it8NqHfv2IUBNoRrxIbAt0jfl7KxG+p2yL4k/liQhVPhahP/CkyN2nwX+OzySO0d3Yd3sXSnrmIpZKld9Ehq6F12OE2I/AtttkqX7aWNx5GwQ85MRLpuU3gm70f2orUtQ6nCLjkcQinTrCbfWhgzfG0N3SsbwF0B84O5UNwhRZnvV8jMj8TlDSw1kAIwIQclQfM2TmjYYLe8JN25aOCYxYTudZWQjDMELDRKBhGEba+GXjHP073FWzvEyG8NfN7Lde80WELYDtcLX4IsJwN+DImL9ri7CcgCQ2uEQ2xaq8LfLf0bDgeZhSPcY1L+WsniII3F4dLvoZJjaMd/MLPxupo0mz6I1+nPUn9PppqmwUYSAwTYS3w0keMm80nH403F8/vsj6bfVhcEaCJaDOH9FkIuGIIhF2xmUqmZFJP+Ew9UwYNg22b5OH+pghU7wKvlE4/hWoWQe+Wwe/AzUPhS9nwltnmQA0DCNMTAQahmGkib+bW+2rYY/Lgf+JcKwqCzMbg9+ARV7zRYR6lHY77QQcG/lbhE3AMnhnaxhfPQSrSW/YtQX87wDoMTY3sVSxQuxhsm39UeUzEa4D/gNLTikt+FMTvG699PwMJnZ22VSrERVpmQoWv1IQkTIM4whRFEWygmbkohwG3vV3qCtCX9ImFxbpLDIE2k5XfbFP7IsifAyMVmVJfqZlGEZlxUSgYRhGBvi5uYlwEjAEmCHCWao8k905sAGY77VSOKsdWwHbw5pHoG6CGEhNILhEKdwGDFT9ZAE5c7mLtbxG6tfFkhXrzy1AL/i+PxR1h8YzYc0q+HJeeoJ3/WK4qHNpwSJJxdcFkxhvGEmUsggnBvsTkijqR4quoNkkKgSHJlhBL/sVtr8h3/NLBhG2BEYCPX3ergnZTx5lGEbVw0SgYRhGyHjxeXd7T/GfFOFA4JJcZAItYz5rgDUiX34GJbtnaDUZD0xR5Z0w51ke8ZbX2t2hpEm2rT+qbBZhEHwzG7oeBFs0hO8+SN/iOW80jDoGrt0yKlhGrIAbdhNhIs7q81vq/cZaSUslSgGG/gHz7k693yieK+g2FIQraJT4ddF8O9i2CYzqAK0eE+HvqizL9xzL4Sxghmp8AiqPGsCfOZ6PYRhVACsRYRiGkUVEaAj8B9ga6K/Kd/mdT2bp+kXYG1esvaMqP2Z3tmXNw28/hi2G50LPnujGOv59uKVJ+uUhIklb2u8CW7WH6VOhZVHEhRaKNwD3ADsCA6GoOJrkZVVTqL/CWRGj4tOz8NYBtoY3B8Cr10ddQC8i7NIdIowBGqlybrp95AoReuCuu81w22B4fGAmiZCyhQh1cebaw/1EoAgLgaNUWZDzyRmGUakxS6BhGEYWUeVnEY4GLgE+EuEkVabmbz7pp+sXoTpOqFySTwEIsfux8j+wZSfYcjNsXp+d0TpOiApASDX+MEB4d4yISBFq4B4SXAaMgKVz4bTfXa3Jv5K8tIHBneHuviILl8GO9b1tAH6Bw7aGHYDRy+GHxlC3VvwsQnGV7Y+zWhU8qkwRYXf44v9g6cswpVomiZDCJvpQYM9OUGsjPFgMxX4frYG5gxqGkQVMBBqGYWQZL4nGtSJ8AEwW4S7g6nwl18ggXf/ZwHqchaVA2G57uKQWPAn8sTv8/KlIUcjFtIPq+yUrqvySttzdDlrOE2EzsCWwDvgZWAN3F8PVRf5JXq7ZAvp/BS8PAdao8qsINwEtVFsdB7d4RelLfIrSp+8qK0IHoCEwM90+co0qq0VOXxkVgJDN8hFRYVe2xdH/ocBPQXUNzR3UMIysYCLQMAwjR6gyTYR9gCeAziIMVOWnfM8rGURogStc1iXswubp03ECXNIaHiAm/q0+nP6KSNHu4Vl6Mi0PESQiF3+KK/VRHPtAQGTBNKjbrfTnI8lwateFolrQ8T6R9h2gRQdYfqBLBAP+pUvG/AlNn3cCMS23yILJCpoamQr45Aiw9u7vrNXF3wFNcKVetoM+l8IdPg8FfIWpJYYxDCMrmAg0DMPIIap8L8KhwNXAbBH6q/JBvucVS7xFY7lXr+zQA6F4BTyxMcBtLQ80a+4sgImlIu6vDz1CtPT4iapUykMEicgl36iyNvnPV/N+1m0Ofd6GO1rFzOepiCXJ3+X3pFWgj8EjNdN0i+xHBXEFjSeM+o7JEGTtbfUFTsitBr4DvoetUhGmZgk0DCMrmAg0DMPIMV6W0JEizAReFOEq4I5CsLD5WzTGAOcC2zaC34Lc1vLAiu+hA9m29GQSR+lIVUT6fX4cMBg451vQGlEBCH6WpESXX2cBnFIzHbfIiugKGiVTAZ8sQRbHRXOArqpRISfyYSruujUxEWgYRhYwEWgYhpEnVHlehM+Ap4EDRThTlSwlN0kWP4vGeKJFx7MTT5Ue80ZD3aOdC2i2S0WkHUeZsoiM/3yjNrC6GdRbAYMXu33u8SDUbRe/VXnCNyO3yArqChqGgE+WIItj612BASI8Fi0Rk5IwtcQwhmFkBROBhmEYeUSVRSJ0xhV2+1Dk5nPh6VPKKg2QCeUnr6jfxgm+zTj3w0FAK+9vyFJB9rTwbvCPhNNfcS6gkRvqsZtBx+d7frGkKiLL+rxI5zRcHDNyi+wPDEnicwVJJgI+eYKE3VFjgdOA8V4Cn/tTFKbmDmoYRlYwEWgYhpFnVPkVOF1k6sWw/FWYUr10aYBrMk5rX1byCu/GtDUctZu7538SZ4AYjnMFreb1ko14qvRRLZ4uUrS7iwFs2hxqVoMbusJNnYGv8j2/7JCOi+O1C+DyjXB17VTcIkXYBdgK+F948698BAu7R5YAj4mwL65MzOUi3A7Ft6smJUzNHdQwjKxgxeINwzAKBC9uyydWKFL8O9Ni30H993sRXjkHDr0J7jg2IdsmcCYwDNiTVIuk5xpXQP2LN+Hfe8DXcwutOHhYRC265bs4ehlpX4Xxx8KrZ6TiFinCOGBrVc4LfSeqICLsBIwEjsGlc71ZleUBn60G/Kn61xMYwzCM0DBLoGEYRsEQFLcVKQ2QqRtmUP97HAZMh85N/bNt3gv0+gE2Ti18QVXUCvq2g9sbujILhVEcPGzKdheNdfn9eTXctz/sMEx1zDsw5p0Uh+pHBXYFLTRU+QoY7Inr84FPRXgOuMF7L5ZAV9BkaxIahmEEYU+XDMMwCoZI3FYssaUBMnXDDOr/nedUaQnTnnQuoH5CcesvVGcOLPwbzY4T4PaWpbNgdpyQz1nliqjL75QB8Ew3eKk/3NIAimal3pe5gmYLVZarciGwA7AUeE+EZzy30Qi+NQJLn+MpA+CfU93rhmEYyWEi0DAMo2CYN9q5W0aEWqQ0QH9caYBM09r79R8bFzZvNHyw3l8oFk4cYNnkpjh44eKX3fWGBmmK4AqbFbSioMrPqlwFtAHeAZ4RYaoI3aFvWxhbU6TvNJHOk6MiL6gmYdV40GEYRjiYO6hhGEaBEFwa4MY6cNEq1YeWZN5/655w40L49O3EuLDgbJvZqKuWLXJVHLxQCVUE9wfOyHxORnmoUgLcJsJdwImw8C5o2RouqRF1ax7RTeTde2G/blX7QYdhGGFgItAwDKOA8Iv1EmEL4EsRuqqSakxXAktWARtUOTRg/IRsm9mqq5YtclUcvFAJEsFF9USoGa1VVzYi7Ao0AN7PwiSNALzz82+RQT3gjR3irX3/ag4jB0DJd1DSvOo+6DAMIwxMBBqGYRQ4qvwmwihgogidMnTP2xL4pezxclFXLTvkrjh4oeIngocvg0s24pKQXAS8okp5qcH7AU+ZK2i+aBpg0V2xHKaeBpvfhLvaVs0HHYZhhIGJQMMwjIrBE7hsgscDj2XQT7kisKJTkUVspgSJYHhwKXAkrt7ICBEuVOWzMrrqh7mC5pFgt2Z3jv97PYy7Cr75ouo96DAMIwysTqBhGEYFQYSDgMnAzl6B+XT62BV4UpVdQ51cueNaSvtCQISauMKPY4EXgLGqrEz4zK7Aa0ArswTmB3e99H0nmuk2Yu1zNTpFeAKYpso9+Z2pYRgVFcsOahiGUUFQ5T3gY+DcDLrJuSXQUtoXDqr8ocodwM5AMTBPhFEi1BEpai3SeTKc8xKctQGKWuZ5ulUW94Bkl9Ngwjro8xb0eBRe6A4g0vVxGNMXDj3MriHDMNLFLIGGYRgVCBHaAzOBDqqsTmP7rsBVqnQNfXKBY3ae7IRfomtbj0dVZw6Mfs6shblGhHbADbCoE1xfA25p4md5yu8sqyYi7A48qspu7u/Iw5TEpEd2jgzDSB2zBBqGYVQgVFkAPIorIJgOeYgJ3K6Ff5KLA3qIMFiEFmYtzA+qLFKlL1z8RVQAgtWeKwhqEFcs3uoDGoYRHiYCDcMwKh7jgeNE2CmNbXMqAkXYGtrs4l+A/odFQHfgEzj7E7vBzSdSw2rPFRw1gT+jf5ZdAzLizlu6uLxhGEZpTAQahmFUMFT5EbgBuD6NzXMmAkVoDrwLx73g3NYiQjDixvbfE1U5AWgC3y00EZJPItkoY7Hac3kmwRIYfI7Mkm4YRqqYCDQMw6iYTAL28GL8UqEOORCBIuwATAceg73PdEktejwam+QiEsekyib4+isTIflk3mh/oW615/JIDeIsgfPuhn4bYTRwJTCf6DnqcItZ0g3DSAWrE2gYhlEBiSkgf5MI+6WQyj/rlkAR9gJeBsapcp97tbzafX5Fziu3CCmkRDhB9QUt4Uhe+csd1LP0PQx3145eH6evh5cHuY+27BkVgEuBh4HNQO3uIkWt7TwahpGIiUDDMIyKS6SA/Im4+oFl4m4k+58CdbYW+bhRNm7yRTgYeBo4S5Vnkt0uXoTsdwhsWA0vHFNZb14DMj3uL1KUt0yP3rhlCHUjx8S4g3acAJe1g4k4cVcNGFsflg517+9cx62hH3FOAlfirasmMHRqPteVYRiFiZWIMAzDqMCI0AV4DNiprALy2UovH2/NqlENru0IbY9T5c30+2Q/3D7tqEql/JJKtmyGUXURoRcwVJVeIj1nwG6dY8QdLkHwpzOh/ka4uZsTf3WAS7F1ZRhGeVhMoGEYRgVGlenALGBE2Z8MP7186WQUD3aFq3+FokXp9ukxC/gNOCjDfgqOaEH2Fr0tEY5RDjHZQdc3iwpAvJ9XAhuaOVfibYHhOFdQW1eGYZSPiUDDMIyKz6XARSI0Dv5I2enl08NPWN7WItNkFJ7170HgtEz6KTScaO73nhPNu9a1RDhGOcS4gzZe6X/9Nlrh4mZHrnNCsB22rgzDSAYTgYZhGBUcVRbiYgLLKCCfjRIA2RCWfzEZ6C1CUQh9JU22aq2JsCOc9o4TyXWBQbjTZdk4jUBiLIGrvvG/flcvhuKlcEEx9H8JpnwMvf/wzyBqGIYRxRLDGIZhVA7GA1+KMEmVL0u/PW80nNMFbm8VXvbNiLBMjD8qWZd+nw5VVokwDegP3J9pf8mQTLIWEQSXYXVrYKuEn36/7+Q1oAHRY9UK5743EZi7Bla+Ytk4jQRiLIGdJsHYE+Cqaj7X787OAvjecG/91kzMIGrryjCMRCwxjGEYRiVBhIuAg1U52v/9F4fAW2NgyYIwSgD4i6aLfoKLq0HbccAdKZSu8OmfXsBlqnROt4/S8w0uySDS9XF45bjSovbKH+GGn4kKuz+BtcAar61N+LkG+B04FdgbeBu4EA4ZCS/79G9JO4zSiHAa0EWV00S4AWZvC+fUSizh4V33O0DnevDAAHiSaAbR/sBgW1+GYZTCRKBhGEYlQYTaOP+vwaq85fP+VYCoMia8MSPCKnpjCsVb8Jf17rqx8N/T0qmFJ0IN4FvgMFXmZz7PRMF67ncw6CE4qA2wN4xpD+N9wiRO+Rj+PRAn8taq8ls5cx6E88V7D7hclUXBc8g8Q6tRORFhCHzSFc6rBl36wqyX4H/nJ64Vz2J+C/S8NCiDqOobB+Z+DwzDKGTMHdQwDKOSoMpGr4D8RBH29bHC7QU8FO6Y/rXlXL3Ad0bDqjdgSvV0auGp8qfIrOfhgadFVv+QjIj03DXrA83i24mD4abEJDbbwcX94aDrgRvhrZFQcmJpS93CL/1dbEuNexRwPbAa6K3KrPj9sYLshj9+Vmp4sTE8eSS83MC7fnrD0N0S3JMbAPsC02D9v/wziPZoloddMgyjwDERaBiGUbl4EldAfgDwSMJ7ewKf5GISqmwWGdU+KgAhWpZi0QSSKEruboz7HgW3t4S6uzhBNvxgkacuh37VKCX0/moKrIhv1Wv7J7FZ+Z0qD7rxPr0chnYqbakrO27Sq2t4A9AIuAR4Oai+oRVkr5qIFHWBjv+BplvByrUw72TV4unee61LW4jPOwye3QZuqFnO9dMdmKFKiUjjlVC3TfzIkQyihmEY8ZgINAzDqESooiJcCPyfCE9HCsiLsC3OQrY4d7PJNHtoxwmeAIzZdtL2MO4G6PcmTuAtBd4Hvvf+XqHK+sSeROZsCyXtSlv5otlRU7XUidAOuBpXz3Ac8LBqJJujYUQE3k73QM8esLPA6cC2W8PQt0SGD4NJv8LxI+GWBCv1rU3hJE3i+jkKeMX9uuobKDmg9BpfncNr3jCMioKJQMMwjEqGKjNE+BA4D7jWe3lPYG6QhSo7BGUPTbYsRZCI/Ga+aqrWtHmjYej+5Vn5krHUeYJ6tPe5W3ExmIn5+40qTmkL33xcRtgOQOsa8P4k4DmoVd9/nVcvgZJ6QdePCNWAvwPXuPeSW+OGYRhgItAwDKOycinwvggPqLKKHLqCRpk3Gkb+A24oSu+mNFMRGSWMeDwR6gAjgIuA/wN28Y6tYfjQcUJUkC0FHsAtm8i1cGZNKBrlPlfSuvQ6r7UMLm4KN24dcP3sBRSr8jUkrvF9u0LJT/BCb4s5NQzDD8sOahiGUUkR4RagtirDRHgUmKLKw+n3F1xiwT+xRfEvsHghnDEFihqmKrwKJZumCNWBk4GrcK6nl6myMFfjGxUTkb7T4Jlu7q8rcc8OSpcHcdeK3zo/5yVQhQsa+T24EGEMsLUqF5Qem67ArarsldWdNAyjwmKWQMMwjMrLBLwC8jhL4I3pdlRWIXX3iUS3t3OPhjPXQc0f4MOL0hFt+c6m6WX8PAKX9GUd0F+V/+VibKMyEGvJ3kxQfJ/qTN91Do+cAfyiOvP8gAGOwrkl+zEdaC5Cu0iJEsMwjFhMBBqGYVRSVPlJhOuASUAb4Iv0e4t1bYOETIWUdnt7vj7Ure9ugounJlsWovQ+5Cebpgh748TfdriMn//NbTylUfGJjdGrRlmuzX7rXISa4J9oSIRGuODC9/zeV2WTyCdT4banRNatTbVGp2EYlR8TgYZhGJWb24GJAKr8nsqGIjQE9nbtgMODMxUK0fcepnStsuTLQuQbEVrjMn52w+3IA5bx00ifBZ/BCfXgj62dR/F/aqUQH1sD+CPgvSOAaaps9HvTWe77HwKTmqdTo9MwjMqPiUDDMIxKTVEzOGMl1GsqMnUyfOZrDYgXfOwN7ANsA8wBPoYVC6Ckkb8lo1mTZNzeQt+1EPH2/3JgEHAbMESVDXmdlFFh8XefHvItdJkNbRok6docaAkEjgReDt604wT4V/OK+jDGMIzsUy3fEzAMwzCyQ/RG9Kqmzqj1xgD451SRk/YU4XARRonwtAiLgSU4EdQIeA5nadhKla4u8cRLA53lIlIJYT5wzHpo0QG2OwjO+cG9F3F7iyW9jJ65QIQtRLgY+ArYEthVlStNABqZ4ec+fU9LqFOi+uyhqjMHJmGRq4GPCBShBtATeDV400xrdBqGUdkxS6BhGEalJSiO7/oPgZnAx8CzOPG3UJXNQT3FJ2mp1waa7wfP1Ye6f3Mib+BvcOjz0KAxfLkb3F+/kGuVeTXWBuCS58wGDlLly/zOyqg8hCLCgtxB9weWqvJd8KbhlVcxDKNyYiLQMAyj0hJ0I/r5dFUOTbW3SPIKkc6T4Y7O8eJycivoMV31jQOdBbJHXjJ6JoMIPXBJX34DBqgyPc9TMiodiSJsKXA/8Ocu7vpJ6poIcgc9Cnil7E2tcLxhGGVjItAwDKPSEmQNWPdzZv2WbeXIV0bP8hD5//buPcjOur7j+PtLk6AkWZSB5qKWEMEF3dhCbRGUi7DhElQuLQGFzjgtlWhtphSVSLcN0QUEySiiwDCgRhFrgo7YNtN2goiVy446RdkGBHLRsZu0itGE1WqAX//4nXA2mz1L9jwney7P+/XPmezl93z3j5M5n+f3e75f/gC4DpgPLAO+asdP7RsjQ9jPgBuBjwDTZ8HwRXvZpGXM46Dk5wHfM97Vqzv3P74WTlwM3/wyfP/KVroZI6m5DIGS1LHG2g344C/gY78utm57HTWL4PfIn8BPr7zellLNrotSYbsfn96/F/55Vh1NWvY4DhrBq8hjSwb2pgbgHREcBdyYEpvr+FMkdSgbw0hSh8ofAu/phYVfhPPuy6/bToajT4/gtfWvPNi3e5OY1jxqFsHLIriO3OH0x8BrUuLTBkBNhpS2b07pwYvhoPV1Ph841nHQM4F/S4nnJlDKAHDsBH5eUgm4EyhJHazGEOpryc/EvbXeNau7HK333F8E+wPvBT4EfA1YkBItuUupMqh753ysxjBnAasnWMAAcOoEf0dSh4uUfBxCksqkEpLWA+9OiXubXU+jVDp+XgBcAzwKLEuJ9c2tSmU39szAD2yDO48Z78ZJBGuBT6eU5wFW3rc/BQ5Liaf3/vq8DrgnJQ4v8ndI6izuBEpSyaTEbyJYBtwQwRsmeLSsJUVwCnl383ngXSlxf5NLkoCxds63/xxuOxluPvBFfnV0Y5iTgMGJBMCKx4FDIjg4JX42wd+V1KEMgZJUTncDl5GPiq5qci11i2ABueNnN/n45xo7fqrVjD6WHcElwG0RHD/OTZjRx0EXQd4VnNi1eS6C7wJ/zIuOlpBUFjaGkaQSqgSly4H+CA5odj0TFcErI/gMsA74V+ColFhtAFSb+Ax5TuV4ox5GN4bZi/mANdkcRtJuDIGSVFIp8RDwEPC3za5lb0VwYARXA98HtpI7fn4yJX7b5NKkvZYSzwOXAssjeGWNH3vhOGgER5AfKHykzksaAiXtxhAoSeW2DLgsgtnNLmQ8EUyLYCnwBDAH+P2UuDIlftnk0qS6pMTjwKeAm2r8yFSqx0HPAtYW2OkeAI6tNE+SJP8zkKQyS4mNwOeAq5pbydgiiAgWA48BZwC9KfHnKfGTJpcmNcJHgSMjOHeM741sDFPX84C7pMRWYDtwRL1rSOoshkBJ0tXAeZVW8i0jghOBh4EryOMsFqXEo00uS2qYlPgN+VjoJyPoGvXtKcDOCGYAx5Gffy3CI6GSXmAIlKSSS4mfk2frXd/sWgAieG0EXyd3Lb0R+KNOMHy98QAACSZJREFUmmcojZQS3yI3N7pm1Ld2NYY5FRhIiR0FL/UwhkBJFY6IkCQB3Ay8L4LelArvONQlgrnkY6nnkI/JnV/ZKZE63Qdh4+MRl70apuwPW4bg8y+Bw58lPw9Y91HQqlU/gvV/F/HUUXn9wb7xhtVL6myGQEkSKfHbygD5lREcM5kD5COYCXwA+CvgdqA7JbZN1vWl5us6EC5McNcZuQnoMPD3z8IBs6F/EbCyyOoRXfPgnOvhloNg+lvy+kveGNHVaxCUysnjoJKkXb4CPAP82WRcLIKpEbyX3PHzUODolLjCAKjy6emHy2bBDcBy8utfToEffpg8T/CJ4uvfMj8HTMivt746f11SGbkTKEkC8gD5CC4H7o5gTUoM74vrRBDAueQjn5uBM1Oqe/6Z1AFmHgZ3ACuo7gQuB6Z3A18pMBqiYs7cagDcZTowe26xdSW1K3cCJUkvSImHgQfYRwPkI3hTZf1/AN6XEqcZAKUdc6oBkMrrCmDbwTTkecAtQ+xxT2cY2DpUfG1J7cgQKEkabRnwN40cIB9BdwRfBe4CbgGOSYl/b9T6Unv73a1j79R1TwPuL77+YB8s2VANgsPkfw/2FV9bUjvyOKgkaTcpsSmCzwIfBt5dZK0IZpHPtZ1PHkHxzpT4v+JVSp3kfzfC8HG7B8Fh4LktjXi/pLR9c0RXL7ziP+G/n4ANT9odVCq3SKngMXNJUseJ4OXAD4FTUmKwjt+fQT5SupQ87++alHi6sVVKnSF37zx7XW7WMvKZwLdfldKJKxp3Hf4LuKCe97SkzuJOoCRpDymxLYKrybt3i2r9XP7w2tOfG09sGYKh5bC5l/wJ9j7yoPdNk1O11J6qO3Ub+uGEt8GTA/DxhXDo5xp8qd8hD6CXVHLuBEqSxhTBNHjqCVj2FKT9Rg+YHnv3om8nXPodOHJpSnyvmfVL7SiCNcBWcuOkaPDaT5G78T7ZyHUltR93AiVJNXTNhQv2h1WnVkPeyAHTPf3VAAj5tX8qLNyU0oMGQGmC8o2Vi3rg4PNgChEr5zXqub289l/Pgk2rIjZv9JlAqdzsDipJqqGnHz4xu/aAaWePSY1S3Vm/4Uj4yH7wfuDsdfnrhdd+Mxz7A4gZ0H0c3HFRo9aW1J4MgZKkGl4s5Dl7TGqcsXbWR950qU8Oemetha/NhH5yuLwDuLLw2pLalyFQklRDrZB36BERHOPsMamR9tXOek8/3D5zz0H0qxuwtqR25TOBkqQaBvtgyRt3b/zyno1wyReAf4Lt34Gbl8LCd8Lh3fCqo+DRRT5nJNVj102X0bMCi+6szzwMbgCeJ9/7fxdwKLCzAWtLald2B5Uk1VQdATF7bv7AmJtJRPBS8iD5K4AB4CpY/3G4bgY888zoTqKSxjd2t90lG+Ce3nrfR5WjoD+o7gTumj/4F8DSHTDwet+jUjkZAiVJdYvgAOBS2PghuOlluTtoYz7ASmVTvekybz7MWwCfWlDk/RNx/J25CcxqqjuBi4GlO2HglJS2f7sxlUtqN4ZASVJhESd9CdZeuOdRtoVfTOnBi5tVl9SOIugGvp4S3cXWOf0BWHB8fgZw5E7gI99Lad0bGlCqpDZlYxhJUgMcPMtxEVLDTAWeLb7MjjnVAAjVpjC/Oqj42pLamSFQktQAjouQGmgKBUNgPlo6bQZcTw5+P6p8ZzpwyJZi5Ulqd4ZASVIDOC5CaqCp5Paddak2mfmXQ3IAfD9wEzkIDgM/3dSQKiW1LUdESJIKyx1Du3phwx6dRJtdm9SGCu4EjjV4fgXwUWCzN2ckGQIlSY1RCXw2gZGKKxgCaw2ef+R/4H479koyBEqSJLWYQsdB8zO6j7HnaIin1xkAJYEhUJIkqdUU3AkcvBWuWQy3jpzbuTN/XZJsDCNJktRqCu4E9iypBkDIr7dOzV+XJEOgJElSq9lHzwQ6t1NSZgiUJElqLQVD4H44t1PSeAyBkiRJraXu46ARnAnXvR6W/sS5nZJqsTGMJElSa6lrJzCCM4BVMP+tsGYrPObcTkljMgRKkiS1lgmHwAhOBz4PnJ0SD8N2cG6npBo8DipJktRaJnQcNILTgC8A56TEQ/usKkkdwxAoSZLUWvZ6JzCCXuBO4NyUeHCfViWpYxgCJUmSWste7QRGcCpwF3BeSjywz6uS1DEMgZIkSa3lRXcCIzgF+BLwJynx7UmpSlLHMARKkiS1lnFDYARvAf4R+NOU+I9Jq0pSxzAESpIktZaax0EjOBn4MnB+SnxrMouS1DkcESFJktRaxtwJjOAkYA2wOCXun/SqJHUMdwIlSZJayx4hMIITyQHwgpS4rylVSeoYhkBJkqTWsttx0AhOAO4G3pES32haVZI6hsdBJUmSWsp3D4KbT4v45UJ4fies/EOYf2FK3NvsyiR1hkgpNbsGSZIkARFdb4YT7oWjp+UNwcXAyiFY/aaUtm9ucnmSOoQ7gZIkSS0gomsenLUWbp8G04FhYDlw+VxY3w9c3NQCJXUMnwmUJElqCT39cPvMHAAhv64AVgOz5zavLkmdxhAoSZLUEubMrQbAXaaTe8RsHWpCQZI6lCFQkiSpJWwZykdARxoGBnbAYF8zKpLUmQyBkiRJLWGwD5ZsqAbBYeCSHTCwyKYwkhrJ7qCSJEktIjeH6enPzwBuHYLBPgOgpEYzBEqSJElSiXgcVJIkSZJKxBAoSZIkSSViCJQkSZKkEjEESpIkSVKJGAIlSZIkqUQMgZIkSZJUIoZASZIkSSoRQ6AkSZIklYghUJIkSZJKxBAoSZIkSSViCJQkSZKkEjEESpIkSVKJGAIlSZIkqUQMgZIkSZJUIoZASZIkSSoRQ6AkSZIklYghUJIkSZJKxBAoSZIkSSViCJQkSZKkEjEESpIkSVKJGAIlSZIkqUQMgZIkSZJUIoZASZIkSSoRQ6AkSZIklYghUJIkSZJKxBAoSZIkSSViCJQkSZKkEjEESpIkSVKJGAIlSZIkqUQMgZIkSZJUIoZASZIkSSoRQ6AkSZIklYghUJIkSZJKxBAoSZIkSSViCJQkSZKkEjEESpIkSVKJGAIlSZIkqUQMgZIkSZJUIoZASZIkSSoRQ6AkSZIklYghUJIkSZJKxBAoSZIkSSXy/z2AhrX0AtMWAAAAAElFTkSuQmCC\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1989,21 +2034,21 @@ }, { "cell_type": "code", - "execution_count": 63, + "execution_count": 64, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "improve_mst: 1089 cities ⇒ tour length 44779 (in 5.559 sec)\n" + "improve_mst: 1089 cities ⇒ tour length 44810 (in 5.488 sec)\n" ] }, { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2041,14 +2086,12 @@ "# Shoulders of Giants: Held-Karp Algorithm: `held_karp_tsp`\n", "\n", "\n", - "| |\n", - "|----|\n", "| ![](http://archive.computerhistory.org/resources/still-image/IBM/IBM_People/IBM.3_mathematicians_Held_Shareshian_Karp.ca1964.102650390.lg.jpg) |\n", + "|----|\n", "| [Held, Shareshian, Karp (Computer History Museum)](http://www.computerhistory.org/collections/catalog/102650390) |\n", "\n", - "| |\n", - "|----|\n", "| ![](http://imgs.xkcd.com/comics/travelling_salesman_problem.png) |\n", + "|----|\n", "| [xkcd 399](http://xkcd.com/399/) |\n", "\n", "\n", @@ -2068,7 +2111,7 @@ }, { "cell_type": "code", - "execution_count": 64, + "execution_count": 65, "metadata": {}, "outputs": [], "source": [ @@ -2095,7 +2138,7 @@ }, { "cell_type": "code", - "execution_count": 65, + "execution_count": 66, "metadata": {}, "outputs": [], "source": [ @@ -2125,21 +2168,21 @@ }, { "cell_type": "code", - "execution_count": 66, + "execution_count": 67, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "alltours: 10 cities ⇒ tour length 2720 (in 1.624 sec)\n" + "alltours: 10 cities ⇒ tour length 2720 (in 1.621 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2152,21 +2195,21 @@ }, { "cell_type": "code", - "execution_count": 67, + "execution_count": 68, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "held_karp: 10 cities ⇒ tour length 2720 (in 0.034 sec)\n" + "held_karp: 10 cities ⇒ tour length 2720 (in 0.040 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2186,21 +2229,21 @@ }, { "cell_type": "code", - "execution_count": 68, + "execution_count": 69, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "held_karp: 18 cities ⇒ tour length 2771 (in 45.137 sec)\n" + "held_karp: 18 cities ⇒ tour length 2771 (in 44.195 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2239,7 +2282,7 @@ }, { "cell_type": "code", - "execution_count": 69, + "execution_count": 70, "metadata": {}, "outputs": [], "source": [ @@ -2252,21 +2295,21 @@ }, { "cell_type": "code", - "execution_count": 70, + "execution_count": 71, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "ensemble: 80 cities ⇒ tour length 13534 (in 0.197 sec)\n" + "ensemble: 80 cities ⇒ tour length 13674 (in 0.197 sec)\n" ] }, { "data": { - "image/png": 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\n", 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2300,7 +2343,7 @@ }, { "cell_type": "code", - "execution_count": 71, + "execution_count": 72, "metadata": {}, "outputs": [], "source": [ @@ -2312,7 +2355,7 @@ }, { "cell_type": "code", - "execution_count": 72, + "execution_count": 73, "metadata": {}, "outputs": [ { @@ -2326,7 +2369,7 @@ " frozenset({(312+209j), (381+645j), (489+448j), (737+451j), (990+36j)}))" ] }, - "execution_count": 72, + "execution_count": 73, "metadata": {}, "output_type": "execute_result" } @@ -2344,7 +2387,7 @@ }, { "cell_type": "code", - "execution_count": 73, + "execution_count": 74, "metadata": {}, "outputs": [], "source": [ @@ -2368,7 +2411,7 @@ }, { "cell_type": "code", - "execution_count": 74, + "execution_count": 75, "metadata": {}, "outputs": [], "source": [ @@ -2402,14 +2445,14 @@ }, { "cell_type": "code", - "execution_count": 75, + "execution_count": 76, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2435,7 +2478,7 @@ }, { "cell_type": "code", - "execution_count": 76, + "execution_count": 77, "metadata": {}, "outputs": [], "source": [ @@ -2461,14 +2504,14 @@ }, { "cell_type": "code", - "execution_count": 77, + "execution_count": 78, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2510,14 +2553,14 @@ }, { "cell_type": "code", - "execution_count": 78, + "execution_count": 79, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2529,11 +2572,11 @@ "text": [ " #1 #2 #3 #4 #5 | Algorithm\n", " --- --- --- --- --- | ---------\n", - " 16 7 7 10 0 | improve_greedy\n", - " 19 15 6 0 0 | rep_improve_nn\n", - " 1 1 1 4 33 | improve_divide\n", - " 2 13 14 8 3 | improve_nn\n", - " 2 4 12 18 4 | improve_mst\n" + " 13 15 8 4 0 | improve_greedy\n", + " 19 14 7 0 0 | rep_improve_nn\n", + " 1 1 0 5 33 | improve_divide\n", + " 5 8 17 8 2 | improve_nn\n", + " 2 2 8 23 5 | improve_mst\n" ] } ], @@ -2547,7 +2590,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "The `improved_greedy_tsp` and `rep_improve_nn_tsp` algorithms give the shortest tours. One surprising result is that the divide and conquer algorithm was not improved much; perhaps the re-assembly steps of divide and conquer are already doing the same things that `improve_tour` does. The minimum spanning tree algorithm is no longer terrible.\n", + "The `improve_greedy_tsp` and `rep_improve_nn_tsp` algorithms give the shortest tours. One surprising result is that the divide and conquer algorithm was not improved much; perhaps the re-assembly steps of divide and conquer are already doing the same things that `improve_tour` does. The minimum spanning tree algorithm is no longer terrible.\n", "\n", "# Comparison of *k* Values for `rep_improve_nn_tsp`\n", "\n", @@ -2556,14 +2599,14 @@ }, { "cell_type": "code", - "execution_count": 79, + "execution_count": 80, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2575,12 +2618,12 @@ "text": [ " #1 #2 #3 #4 #5 #6 | Algorithm\n", " --- --- --- --- --- --- | ---------\n", - " 11 4 3 1 15 6 | improve_greedy\n", - " 17 7 9 5 2 0 | rep_improve_nn, 15\n", - " 4 19 7 6 3 1 | rep_improve_nn, 10\n", - " 5 8 10 10 6 1 | rep_improve_nn, 5\n", - " 3 4 11 10 8 4 | rep_improve_nn, 3\n", - " 2 2 1 4 4 27 | rep_improve_nn, 1\n" + " 9 3 2 3 16 7 | improve_greedy\n", + " 12 10 11 6 1 0 | rep_improve_nn, 15\n", + " 13 10 10 5 1 1 | rep_improve_nn, 10\n", + " 5 11 5 10 7 2 | rep_improve_nn, 5\n", + " 2 6 8 11 7 6 | rep_improve_nn, 3\n", + " 2 4 2 6 2 24 | rep_improve_nn, 1\n" ] } ], @@ -2602,14 +2645,14 @@ }, { "cell_type": "code", - "execution_count": 80, + "execution_count": 81, "metadata": {}, "outputs": [ { "data": { - "image/png": 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GiDiYopLW706WlgZGKapeTTq4bGvcNlZOy9x/ulG7mUwjVXUGBwcZHBysOgypY3kOSa3xHJJa4znU/iJ2ORY243Xugp1H1K6mKJgCxSKtV5UPtBj4IvC+zNwwuXNm3gc8GBFHRxHNyZP3KY81udDrb7GjhLgkSZIkaYZ2m9yV5Ya/RlHh8p6I+N8Uyx2siojvAceV30Ox0G8v8McRcUtEfDsiDmzY9klgI3BnZk6uH/RJ4MCIuJNivahz5ui5SZIkSVLX2O20zMz8nV1s+tUm+54HNF1zJjO/BTy/SfujwAm7i0Odoa+vr+oQpI7mOSS1xnNIao3nUGeb0VII7SIispPilSRJkqS5FBG7LKgy02vuJEmSJEltzOROkiRJkmrA5E6SJEmSasDkTpIkSZJqwOROkiRJkmrA5E6SJEmSasDkTpIkSZJqwOROkiRJkmrA5E6SJEmSasDkTpIkSZJqwOROkiRJkmrA5E6SJEmSasDkTpIkSZJqwOROkiRJkmpgYdUBSJIkSarWyMhm+vvXMjo6QU/PAoaGVrNs2WFVh6U9FJlZdQwzFhHZSfFKkiRJ7W5kZDOrVl3Mpk1rgEXAOL29A6xbd6YJXhuKCDIzmm1zWqYkSZLUxfr71zYkdgCL2LRpDf39ayuMSrNhcidJkiR1sdHRCXYkdpMWMTY2UUU4aoHJnSRJktTFenoWAONTWsdZutRUodP4ikmSJEldbGhoNb29A+xI8Ipr7oaGVlcWk2bHgiqSJElSl5usljk2NsHSpVbLbGfTFVQxuZMkSZKkDmG1TEmSJEmqOZM7SZIkSaoBkztJkiRJqgGTO0mSJEmqAZM7SZIkSaoBkztJkiRJqgGTO0mSJEmqAZM7SZIkSaoBkztJkiRJqgGTO0mSJEmqAZM7SZIkSaoBkztJkiRJqgGTO0mSJEmqAZM7SZIkSaoBkztJkiRJqgGTO0mSJEmqAZM7SZIkSaoBkztJkiRJqgGTO0mSJEmqAZM7SZIkSaoBkztJkiRJqoHdJncR8cmI2BoRtza0LYmIL0fE9yLiSxHxjIZt50bEnRFxR0S8qqH9qIi4NSI2RsRFDe37RMRny/t8PSIOncsnKEmSJEndYCYjd58GXj2l7Rzgusz8WeCrwLkAEXEkcAKwAngN8PGIiPI+lwCnZOZyYHlETB7zFOD+zDwCuAj4UAvPR5IkSZK60m6Tu8z8V+CBKc2vBy4tv74UeEP59fHAZzNze2beDdwJHB0RBwH7ZebN5X6XNdyn8Vj/ABw3i+chSZIkSV1tttfcPSsztwJk5n3As8r2HuDehv1Gy7YeYEtD+5aybaf7ZObjwLaIOGCWcUmSJElSV1o4R8fJOToOQEy3cXBw8Imv+/r66Ovrm8OHliRJkqT2MTw8zPDw8Iz2jczd52URcRjwhcz8hfL7O4C+zNxaTrm8PjNXRMQ5QGbmBeV+1wIDwObJfcr2E4GVmXna5D6ZeVNEPAX4z8x81pOjgIjImcQrSZIkSXUUEWRm0wGxmU7LDHYeUbsaWF1+/Tbgqob2E8sKmMuAw4FvlFM3H4yIo8sCKydPuc/byq9/i6JAiyRJkiRpD+x25C4iPgP0AT8DbKUYifs88PfAIRSjcidk5rZy/3MpKmA+BpyVmV8u218ErAX2Ba7JzLPK9p8C/hb4ReCHwIllMZZmsThyJ0mSJKlrTTdyN6Npme3C5E6SJElSN5uLaZmSJEmSpDZmcidJkiRJNWByJ0mSJEk1YHInSZIkSTVgcidJkiRJNWByJ0mSJEk1YHInSZIkSTVgcidJkiRJNWByJ0mSJEk1YHInSZIkSTVgcidJkiRJNWByJ0mSJEk1YHInSZIkSTVgcidJkiRJNWByJ0mSJEk1YHInSZIkSTVgcidJkiRJNbCw6gAkSZIkVWtkZDP9/WsZHZ2gp2cBQ0OrWbbssKrD0h6KzKw6hhmLiOykeCVJkqR2NzKymVWrLmbTpjXAImCc3t4B1q070wSvDUUEmRnNtjktU5IkSepi/f1rGxI7gEVs2rSG/v61FUal2TC5kyRJkrrY6OgEOxK7SYsYG5uoIhy1wOROkiRJ6mI9PQuA8Smt4yxdaqrQaXzFJEmSpC42NLSa3t4BdiR4xTV3Q0OrK4tJs2NBFUmSJKnLTVbLHBubYOlSq2W2s+kKqpjcSZIkSVKHsFqmJEmSJNWcyZ0kSZIk1YDJnSRJkiTVgMmdJEmSJNWAyZ0kSZIk1YDJnSRJkiTVgMmdJEmSJNWAyZ0kSZIk1YDJnSRJkiTVgMmdJEmSJNWAyZ0kSZIk1YDJnSRJkiTVgMmdJEmSJNWAyZ0kSZIk1YDJnSRJkiTVgMmdJEmSJNWAyZ0kSZIk1YDJnSRJkiTVQEvJXUScFRG3lbd3lm0viIivR8QtEfGNiHhxw/7nRsSdEXFHRLyqof2oiLg1IjZGxEWtxCRJkiRJ3WjWyV1EPA84BXgx8ELgdRHRC3wIGMjMXwQGgA+X+x8JnACsAF4DfDwiojzcJcApmbkcWB4Rr55tXJIkSZLUjVoZuVsB3JSZj2bm48B64E3ABPCMcp/FwGj59fHAZzNze2beDdwJHB0RBwH7ZebN5X6XAW9oIS5JkiRJ6joLW7jvd4A/jYglwKPAa4GbgXcBX4qIPwMCeFm5fw/w9Yb7j5Zt24EtDe1bynZJkiRJ0gzNOrnLzO9GxAXAOuDHwC3A48BpwFmZ+fmI+E3gU8CquQgWYHBw8Imv+/r66Ovrm6tDS5IkSV1pZGQz/f1rGR2doKdnAUNDq1m27LCqwxIwPDzM8PDwjPaNzJyTB42I8yhG3T6QmUsa2rdl5uKIOAfIzLygbL+W4pq8zcD1mbmibD8RWJmZpzV5jJyreCVJkiQVid2qVRezadMaYBEwTm/vAOvWnWmC14YigsyMZttarZb5zPL/Q4E3AlcAYxGxsmw/juLaOoCrgRMjYp+IWAYcDnwjM+8DHoyIo8sCKycDV7USlyRJkqSZ6e9f25DYASxi06Y19PevrTAqzUYr19wBfC4iDgAeA07PzIci4lTgoxHxFOAR4FSAzLw9Iq4Ebm/Yf3IY7gxgLbAvcE1mXttiXJIkSZJmYHR0gh2J3aRFjI1NVBGOWtBScpeZxzZpu5FieYRm+38Q+GCT9m8Bz28lFkmSJEl7bv/9HwbG2TnBG2e//R6uKCLNVkvTMiVJkiR1tojtQD9Fgkf5f3/Zrk7S6rRMSZIkSR3swQf3B94OXEixZPUC4CweeuhTlcalPWdyJ0mSJHWxnp4FwIEUhewnjbN0qZP8Oo2vmCRJktTFhoZW09s7QOO0zN7eAYaGVlcWk2Znzta52xtc506SJEmae5OLmI+NTbB0qYuYt7Pp1rkzuZMkSZKkDjFvi5hLkiRJktqDyZ0kSZIk1YDJnSRJkiTVgMmdJEmSJNWAyZ0kSZIk1YDJnSRJkiTVwMKqA5AkSZI0cxFNq+B3DJc2mz8md5IkSVIHmc/kKALMvTqX0zIlSZIkqQZM7iRJkiQBMDBQdQRqRXTSnNeIyE6KV5IkSZLmUkSQmU0vvHTkTpIkSZJqwOROkiRJkmrA5E6SJEmSasDkTpIkSZJqwOROkiRJEgCDg1VHoFZYLVOSJEkS4CLmncBqmZIkqdbWr7+RZcvezOLFJ7Ns2ZtZv/7GqkOSpL3OkTtJktTR1q+/keOO+2u2b/8LYBEwzsKFZ/CVr7yDY4/95arDkzqKI3ftb7qRO5M7SZLU0ZYtezN3330ZRWI3aZznPOdkRkY+V1VYUkcyuWt/TsuUJEm19cADi9g5sQNYxLZtU9skqd5M7iRJUkdbsmQcGJ/SOs7ixVPbJO3OwEDVEagVTsuUJEkdrbjm7hNs3/5xdlxzdzpf+cqpXnMnqXamm5a5cG8HI0mSNJcOOeRgDjzwMe67763AfsCPOPDAp3HIIQdXHZok7VUmd5IkqaP196/lvvv+msbr7u67b5z+/gu5/HLnmEnqHl5zJ0mSOtro6ATNCqqMjU1UEY4kVcbkTpIkdbSengU0K6iydKkfcyR1F3/qSZKkjjY0tJre3gF2JHjj9PYOMDS0urKYpE41OFh1BGqF1TIlSVLHW7/+Rt72to+wbdsiFi8e59JL322lTGkWXMS8/U1XLdPkTpIkdbSRkc2sWnUxmzatYXIphN7eAdatO5Nlyw6rOjypo5jctb/pkjunZUqSpI7W37+2IbEDWMSmTWvo719bYVSStPeZ3EmSpI5mtUxJKpjcSZKkjma1TEkqeM2dJEnqaF5zp3ZzwAHwwANVR9GdliyB+++vOor5ZUEVSZJUayMjm+nvX8vY2ARLly5gaGi1iZ0qY1GS6nRD35vcSZIkSXtJNyQY7aob+t5qmZIkSZJUcy0ldxFxVkTcVt7Oamg/MyLuKNvPb2g/NyLuLLe9qqH9qIi4NSI2RsRFrcQkSZIkSd1o4WzvGBHPA04BXgxsB/4lIr4AHAr8BvD8zNweEQeW+68ATgBWAAcD10XEEeU8y0uAUzLz5oi4JiJenZlfaumZSZIkSVIXaWXkbgVwU2Y+mpmPA+uBNwOnAedn5naAzPxBuf/rgc9m5vbMvBu4Ezg6Ig4C9svMm8v9LgPe0EJckiRJktR1WknuvgO8IiKWRMTTgdcChwBHAMdGxIaIuD4iXlTu3wPc23D/0bKtB9jS0L6lbJMkSZIkzdCsp2Vm5ncj4gJgHfBj4BbgceCpwJLMPCYiXgL8PfDcuQgWYHBw8Imv+/r66Ovrm6tDS5IkSVJbGR4eZnh4eEb7ztlSCBFxHsXI3PHABZl5Q9l+J3AM8A6AzDy/bL8WGAA2A9dn5oqy/URgZWae1uQxXApBkiRJba0byvG3q27o+3lbCiEinln+fyjwRuAzwFXAK8v25cA+mflD4GrgtyNin4hYBhwOfCMz7wMejIijIyKAk8tjSJIkSZJmqNV17j4XEd+hSMZOz8yHgE8Bz42I2yiSvZMBMvN24ErgduCacv/JvPoM4JPARuDOzLy2xbi0l61ffyPLlr2ZxYtPZtmyN7N+/Y1VhyR1FM8hSZLUqjmblrk3OC2zPa1ffyPHHffXbN/+F8AiYJyFC8/gK195B8ce+8tVhye1Pc8hSaqXbpga2K66oe+nm5ZpcqeWLVv2Zu6++zKKD6WTxnnOc05mZORzVYUldQzPIUmql25IMNpVN/T9vF1zJwE88MAidv5QCrCIbdumtklqxnNIkiTNBZM7tWzJknFgfErrOIsXT22T1IznkCRJmgsmd2rZpZe+m4ULz2DHh9PieqFLL313lWFJHcNzSJIkzQWvudOcWL/+Rt72to+wbdsiFi8e59JL320hCGkPeA6pmxQrH3UuP4tod7rhuq921Q19b0EVSZIkaS/phgSjXXVD31tQRZIkSZJqbmHVAUiSYGRkM/39axkdnaCnZwFDQ6tZtuywqsOSJEkdxGmZklSxkZHN9PV9hHvu+QCTi5gfeuj7GR5+twmetIcGB4ubVKVumBrYrrqh773mTpLa2Otf/16uvnqQqYuYH3/8IFdd9eGKopI6Uzd8sFP7831YnW7oe6+5k6Q2tmHDVpotYn7TTVurCEeSJHUokztJqtyPabaIedEuSZI0MyZ3klSxl770MKCfxkXMoZ9jjvF6O0mSNHNecydJFRsZ2czKledx773Ppvib2wSHHLKVG274QwuqSHuoG663UfvzfVidbuh7r7mTpDa2bNlh3HDDH3LSSQv5lV+Bk05aaGInzdLAQNURSFJ1HLmTJEmS5lA3jB61q27o++lG7lzEXHPCBZglSZKkajlyp5a5ALMkSdIO3TB61K66oe+95k7z6uyzP9aQ2AEs4p57PsDZZ3+syrAkSZKkruK0TLXMBZjVTSKa/qGsYzj7QZKk+nLkTnPABZjVPTJzXm8w38eX6m1wsOoIJKk6JndqmQswS5LaxZo1VUcgSdWxoIpa5gLM0tzphgvBpfnkOaR24PuwOt3Q9xZU0bxyAWZp7rgAsyRJmi1H7iRJUm10w1/t1f58H1anG/rekTuFZefUAAAgAElEQVRJkiRJqjmXQugylnGXJNWZU5sldTOnZUqSJElzqBumBrarbuh7p2VKkiRJUs05LVNzanDQBWSlVngOSZL2tvNPPZVHNm58Uvu+y5dzzic+UUFEmi2nZWpOdcNQuDSfPIckqfN12s/ywb4+Bm+44cntK1cyODy89wNqQaf1/Ww4LVOSJEmSas7kTpIk1YbTmiV1M5M7SZJUG2vWVB2BJFXH5E6SJEmSasBqmZpTLh4rtcZzSJK0t+27fDmDu2hXZ7FapiRJqo1uqJSn9uf7sDrd0PdWy5QkSZKkmjO5kyRJteHUZkndzGmZkiRJ0hzqhqmB7aob+t5pmZIkSZJUcyZ3mlMuHiu1xnNIkiTNltMyNae6YShcmk+eQ5LU+fxZXp1u6Pt5m5YZEWdFxG3l7Z1Ttv1+RExExAENbedGxJ0RcUdEvKqh/aiIuDUiNkbERa3EJEmSJEndaNbJXUQ8DzgFeDHwQuA3IuK55baDgVXA5ob9VwAnACuA1wAfj4jJjPMS4JTMXA4sj4hXzzYuSZLUvZzaLKmbtTJytwK4KTMfzczHgRuAN5Xb/i/w3in7vx74bGZuz8y7gTuBoyPiIGC/zLy53O8y4A0txCVJkrrUmjVVRyBJ1VnYwn2/A/xpRCwBHgVeC9wcEccDWzLzth0DcwD0AF9v+H60bNsObGlo31K2S5IkSR0nCWh6RZTmWzb8241mndxl5ncj4gJgHfBj4BZgX+D9FFMy1YVcPFZqjeeQJHW+IGtf1KNdRXRzatfayB2Z+Wng0wARcR5wH8X0y38vr6c7GPh2RBxNMVJ3aMPdDy7bRoFDmrQ3Ndgwmb6vr4++vr5WnoLmmNc6SK3xHJIkSY2Gh4cZHh6e0b4tLYUQEc/MzP+OiEOBa4FjMvOhhu0jwFGZ+UBEHAlcAfwSxbTLdcARmZkRsQF4J3Az8M/An2fmtU0ez6UQJEnSLnVDGXS1P9+H1emGvp9uKYSWRu6Az5VLHTwGnN6Y2JWScsZxZt4eEVcCtzfsP9n1ZwBrKaZ1XtMssZMkSXvHAQfAAw9UHcXsRYde67RkCdx/f9VRSOpkLmIuSZJ20g1/+W5H9nt9+FpWpxv6ft4WMZckSZIktQeTO80pi0FIrfEckiRJs+W0TM2pbhgKl+aT55Dage/Datjv9eFrWZ1u6HunZUqSJElSzZncSZIkSVINmNxJkiRJUg2Y3EmSJElSDbS6iLm0k4GBqiOQXIC5Ki7ALElStayWKal2uqFSVjuy3+vD17Ia9nt9+FpWpxv63mqZkiRJklRzJneSJEmSVAMmd5IkSZJUAyZ3kiRJklQDJneaU4ODVUcgSZIkdSerZWpOdUOFIrU/34fVsN/rw9eyGvZ7ffhaVqcb+t5qmZIkSZJUcyZ3kiRJklQDC6sOQJIkSaqbaDppTvNtyZKqI6iWyZ0kSZI0hzr5mq9uuGatzkzu2tABB8ADD1Qdxex16l+qliyB+++vOgpJkiRpdkzu2tADD/gXkyp0alIqSZIkgQVVJEmSJKkWTO4kSZIkqQZM7iRJkiQBMDBQdQRqRWQHXdwVEdlJ8c6WVYqqYb/Xh69lNez3+vC1rIb9LmkmIoLMbFotwpE7SZIkSaoBkztJkiRJqgGTO0mSJEmqAZM7SZIkSaoBkztJkiRJAAwOVh2BWmG1zDZktaxq2O/14WtZDfu9Pnwtq2G/qx34Pmx/VsuUJEmSpJozuZMkSZKkGjC5kyRJkqQaWFh1AJIkSa04/9RTeWTjxie177t8Oed84hMVRCRJ1TC5kyRJHe2RjRsZvOGGJ7UP7v1QpI43MFB1BGqF0zIlSZIkAS6F0OlM7iRJkiSpBkzuJEmSJKkGvOZOkiTtJAloujxuh7nhhmJF5g6RDf9K0myY3EmSpJ0ESXZQjrHvqacyuItqmXRQtcwIUztJrYnsoJ/eEZGdFO9sRdBRv1Trwn6vj057LetSxr3T+l275mtZDftd7WBw0KIq7S4iyMym0xIcuZOkilnGXZLULtasMbnrZCZ3kmrH64Wq4fVCkiRVq6VqmRFxVkTcVt7eWbZ9KCLuiIh/i4jPRcT+DfufGxF3lttf1dB+VETcGhEbI+KiVmKSpCCLuU2dclu5svkTWbmy+tj24BYmdpIkVWrWyV1EPA84BXgx8ELgdRHxXODLwPMy84XAncC55f5HAicAK4DXAB+PeOJP0pcAp2TmcmB5RLx6tnFJkiRJdRYR83aD+Tv2jsfQfGll5G4FcFNmPpqZjwPrgTdl5nWZOVHuswE4uPz6eOCzmbk9M++mSPyOjoiDgP0y8+Zyv8uAN7QQlyRJklRbmdnRN82fVq65+w7wpxGxBHgUeC1w85R93g78Xfl1D/D1hm2jZdt2YEtD+5ayXZK6wr7LlzctnrLv8uV7OxRJUpcaGdlMf/9aRkcn6OlZwNDQapYtO6zqsLSHZp3cZeZ3I+ICYB3wY+AW4PHJ7RHxh8Bjmfl3uzjErAw2lO/p6+ujr69vLg8vSXtdJy13IEmqn5GRzaxadTGbNq0BFgHjbNgwwLp1Z5rgtYHh4WGGh4dntO+crXMXEecB92bmX0bEauAdwCsz89Fy+zlAZuYF5ffXAgPAZuD6zFxRtp8IrMzM05o8huvcad7Y7/Xha1kN+70+fC2rYb+rKm996xquuOI9FIndpHFOOulCLr98oKqwtAvTrXPXarXMZ5b/Hwq8EfhMRPwa8F7g+MnErnQ1cGJE7BMRy4DDgW9k5n3AgxFxdFlg5WTgqlbikiRJkjQzo6MT7JzYASxibGyi2e5qY62uc/e5iDgAeAw4PTMfioiLgX2AdWU1nA2ZeXpm3h4RVwK3N+w/+fepM4C1wL7ANZl5bYtxSZIkSZqBnp4FwDhTR+6WLm1pHEgVmLNpmXuD0zI1n+z3+vC1rIb9Xh++ltWw31WVZtfc9fZ6zV27mm5apsldG/KHezXs9/rwtayG/V4fvpbVsN9VpclqmWNjEyxdarXMdmZy12H84V4N+70+fC2rYb/Xh69lNex3STMxbwVVJEmSJEntweROkiRJkmrA5E6SJEmSasDkTpIkSZJqoNV17iTOP/VUHtm48Unt+y5fzjmf+EQFEUmSJEndx+ROLXtk40YGb7jhSe2Dez8USZIkqWs5LVOSJEmSasDkTpIkSZJqwOROkiRJkmrA5E6SJEmSasCCKm0oCYiqo5i5fWlePGXfG26A6Jwnkg3/SpIkSZ0mMjvnw2xEZCfFO1sR0AVPs+3Y7/Xha1kN+70+fC2rYb9LmomIIDObjqA4LVOSJEmSasDkTpIkSZJqwOROkiRJkmrA5E6SJEmSasDkTpIkSZJqwOROkiRJkmrA5E6SJEmSasDkTpIkSZJqwOROkiRJkmpgYdUBSJIkSarWyMhm+vvXMjo6QU/PAoaGVrNs2WFVh6U9ZHInSZKeJKLqCLrPkiVVR6BuNTKymVWrLmbTpjXAImCcDRsGWLfuTBO8DhOZWXUMMxYR2UnxzlYEdMHTbDv2e334WlbDflc78H0o7bm3vnUNV1zxHorEbtI4J510IZdfPlBVWNqFiCAzm/4JzmvuJEmSpC42OjrBzokdwCLGxiaqCEctMLmTJEmSulhPzwJgfErrOEuXmip0Gl8xSZIkqYsNDa2mt3eAHQneOL29AwwNra4sJs2O19y1Ia8XqIb9Xh++ltWw39UOfB9KszNZLXNsbIKlS62W2c6mu+bO5K4N+YupGvZ7ffhaVsN+VzsYHCxuklRXJncdxg9I1bDf68MS7tVYsgTuv7/qKCRJqrfpkjvXuZNUO52cpPtHBkmSNFsWVJEkSZKkGnDkTpIkSepykwVVRkcn6OmxoEqn8pq7NuS0rGrY72oHvg8lSXvbyMhmVq26mE2b1lAsZl4shbBu3ZkmeG1oumvunJYpSZJqw0qZ0p7r71/bkNgBLGLTpjX096+tMCrNhsmdJLWRgYGqI5A625o1VUcgdZ7R0Ql2JHaTFjE2NlFFOGqByZ0ktRFHHSRJe1tPzwJgfErrOEuXmip0Gl8xSZIkqYsNDa2mt3eAHQlecc3d0NDqymLS7FhQpQ1ZUKEa9rskdT5/lkuzM1ktc2xsgqVLrZbZzqYrqGJy14b8xVQN+12SOp8/yyXVndUyJUlSV7AokaRu1lJyFxFnRcRt5e2dZduSiPhyRHwvIr4UEc9o2P/ciLgzIu6IiFc1tB8VEbdGxMaIuKiVmCSpk1lQRWqN55CkbjbraZkR8Tzg74CXANuBfwFOA04FfpiZH4qI9wFLMvOciDgSuKLc/2DgOuCIzMyIuAn4P5l5c0RcA3w0M7/U5DGdlql5Y7+rHfg+lCRJ05mvaZkrgJsy89HMfBxYD7wJOB64tNznUuAN5dfHA5/NzO2ZeTdwJ3B0RBwE7JeZN5f7XdZwH0mSJEnSDLSS3H0HeEU5DfPpwGuBQ4BnZ+ZWgMy8D3hWuX8PcG/D/UfLth5gS0P7lrJNkiRJkjRDC2d7x8z8bkRcAKwDfgzcAjzebNfZPkYzgw2T6fv6+ujr65vLw0uSJElS2xgeHmZ4eHhG+87ZUggRcR7FyNxZQF9mbi2nXF6fmSsi4hwgM/OCcv9rgQFg8+Q+ZfuJwMrMPK3JY3jNneaN/a524PtQas3goEVVJNXbvC2FEBHPLP8/FHgj8BngamB1ucvbgKvKr68GToyIfSJiGXA48I1y6uaDEXF0RARwcsN9JKmrWMZdas2aNVVHIEnVaWnkLiLWAwcAjwHvyszhiDgAuJLi+rvNwAmZua3c/1zglHL/szLzy2X7i4C1wL7ANZl51i4ez5E7zRv7XZI6nz/LJdXddCN3czYtc28wudN8st8lqfP5s1xS3c3btExJkiRJUnuYdbVMza9omotrPi1ZUnUEkiRJ0uyZ3LWhTp5O4nQYSdLuxDz/BXO+/0DaDZeISOpMTsuUpDZiCXd1g8zs6JsktSsLqmhOOXIntcZzSJIkTceCKpIkSZJUcyZ3kiRJklQDJneaUwMDVUcgSZIkdSevuZOkNuI1d5IkaTpecydJHcLRb0mSNFuO3EmSJElSh5hu5M5FzCVJUscbGdlMf/9aRkcn6OlZwNDQapYtO6zqsCRpr3LkTpIkdbSRkc309X2Ee+75ALAIGOfQQ9/P8PC7TfAk1Y7X3GmvGRysOgJJUrc5++yPNSR2AIu4554PcPbZH6syLEna60zuNKfWrKk6AklSt9mwYSs7ErtJi7jppq1VhCNJlfGaO0naAxFNZ0F0DKe2q55+DIyzc4I3XrZLUvdw5E6S9kBmzsvtrrvu5qSTBunr+2NOOmmQu+66e14eR6qjl770MKCfIqGj/L+fY47xejtJ3cWCKppTLsAs7bmRkc2sWnUxmzatYbIYRG/vAOvWnWkxCGkGRkY2s3Lledx777Mp/m49wSGHbOWGG/7Qc0hS7UxXUMXkTnPK5E7ac2996xquuOI9TJ1SdtJJF3L55a5qLs3E5FIIY2MTLF3qUgiS6st17rTXDPg5VNpjo6MTNCsGMTY2UUU4Ukdatuww/xgiqet5zZ3mlEshSHtu//0fZse1QpPG2W+/h6sIR5IkdSiTO0mqWMR2mhWDKNolSZJmxmmZklSxBx/cH3g7cCEwQfF3t7N46KFPVRqXJEnqLCZ3klSxnp4FwIFA4/VC4yxd6uQKaaYmC6qMjk7Q02NBFUndyWqZklQxl0KQWuM5JKmbuBSC9prBQYuqSLNhGXdp9lxORFI3cSkEPSGi6ftgTq1ZM3/HNrlXXVnGXZo9lxORpILJXZcxOZIk1U1x3eo4U0fuvG5VUrfxp54kSepoQ0Or6e0doHE5kd7eAYaGVlcWkyRVwWvuJElSx/O6VUndwoIqkiRJklQDFlTRvHN9Iak1nkOSJKlVjtypZa4vJLXGc0iSJM3UdCN3FlRRy/r71zZ8KAVYxKZNa+jvX1thVFLn8BySJElzweROLXN9Iak1nkOSJGkumNypZTvWF2rk+kLSTHkOSZKkueAnB7XM9YWk1ngOSZKkuWBBFc0J1xeSWuM5JEmSZsJ17iRJkiSpBqyWKUmSJEk1Z3InSZIkSTVgcidJkiRJNbCw6gBUD5PFIEZHJ+jpsRiEJGnv8veQJLVYUCUi3gWcAkwAtwH/G1gB/CWwL/AYcHpmfrPc/1zg7cB24KzM/HLZfhSwtrzPNZl59i4ez4IqbWhkZDOrVl3Mpk1rKBZiLsq4r1t3pr9YJUnzzt9DkrrJvBRUiYilwJnAUZn5CxSjgG8BPgQMZOYvAgPAh8v9jwROoEj+XgN8PCImg7oEOCUzlwPLI+LVs41Le19//9qGX6gAi9i0aQ39/WsrjEqS1C38PSRJhVavuXsKsCgiFgJPB0YpRvGeUW5fXLYBHA98NjO3Z+bdwJ3A0RFxELBfZt5c7ncZ8IYW49JeNDo6wY5fqJMWMTY2UUU4kqQu4+8hSSrM+pq7zByLiD8D7gEeBr6cmddFxBbgS+W2AF5W3qUH+HrDIUbLtu3Alob2LWW7OkRPzwJgnJ1/sY6zdKn1eiRJ88/fQ5JUmHVyFxGLgdcDhwEPAn8fEScBR1NcT/f5iPhN4FPAqrkIFmBwcPCJr/v6+ujr65urQ2uWhoZWs2HDwJOudRgaOrPiyCRJ3cDfQ5LqbHh4mOHh4RntO+uCKmXi9urMfEf5/e8CxwC/k5lLGvbblpmLI+IcIDPzgrL9Wopr8jYD12fmirL9RGBlZp7W5DEtqNKm1q+/kbe97SNs27aIxYvHufTSd3Pssb9cdVhSx7DSn9SayXNobGyCpUs9hyTV13QFVVpJ7o4GPgm8BHgU+DRwM3A6RYXMGyLiOOD8zHxJWVDlCuCXKKZdrgOOyMyMiA3AO8v7/zPw55l5bZPHNLlrQ1Ypk1rjOSRJkmZqXpK78sADwIkUSx7cAvwexbTMj1IUW3mEItG7pdz/XIqlEx5j56UQXsTOSyGctYvHM7lrQ2996xquuOIE4EqKejoLgBM46aQrufzygWqDkzpAcQ69h6nXC5100oWeQ5KkvcIZJJ1juuSupUXMM3MNsGZK843Ai3ex/weBDzZp/xbw/FZiUXW+//0HKAZxd4w6wACbNm2vNC6pU1jpT5JUpWYzSDZscAZJJ7KMlFq2deu97EjsKP9fw3333VtdUFIH2VHpr5GV/iRJe4drRdaHnxzUsoMOOpxmow4HHdRbRThSxxkaWk1v7wA7ErzJSn+rK4tJktQ9nEFSHy1Ny5QAenufzoYNT15fqLd36g8JSc0sW3YY69adSX//hQ2V/pwKI0naO1wrsj5aKqiyt1lQpT1Z6U+SJKlz+Vmus8xbtcy9zeSufbm+kCRJUufys1znMLmTJEmSpBqYLrlzIq0kSZIk1YDJnSRJkiTVgMmdJEmSJNWAyZ0kSZIk1YDJnSRJkiTVgMmdJEmSJNWAyZ0kSZIk1YDJnSRJkiTVgMmdJEmSJNWAyZ0kSZIk1YDJnSRJkiTVgMmdJEmSJNWAyZ0kSZIk1YDJnSRJkiTVgMmdJEmSJNWAyZ0kSZIk1YDJnSRJkiTVgMmdJEmSJNWAyZ0kSZIk1YDJnSRJkiTVgMmdJEmSJNWAyZ0kSZIk1YDJnSRJkiTVgMmdJEmSJNWAyZ0kSZIk1YDJnSRJkiTVgMmdJEmSJNWAyZ0kSZIk1YDJnSRJkiTVgMmdJEmSJNWAyZ0kSZIk1YDJnSRJkiTVgMmdJEmSJNWAyZ0kSZIk1YDJnSRJkiTVgMmdJEmSJNWAyZ0kSZIk1YDJnSRJkiTVQEvJXUS8KyK+ExG3RsQVEbFP2X5mRNwREbdFxPkN+58bEXeW217V0H5UeYyNEXFRKzGpWsPDw1WHIHU0zyGpNZ5DUms8hzrbrJO7iFgKnAkclZm/ACwEToyIPuA3gOdn5vOBC8v9VwAnACuA1wAfj4goD3cJcEpmLgeWR8SrZxuXquUPBKk1nkNSazyHpNZ4DnW2VqdlPgVYFBELgacDY8BpwPmZuR0gM39Q7vt64LOZuT0z7wbuBI6OiIOA/TLz5nK/y4A3tBiXJEmSJHWVWSd3mTkG/BlwDzAKbMvM64DlwLERsSEiro+IF5V36QHubTjEaNnWA2xpaN9StkmSJEmSZigyc3Z3jFgMfA74LeBB4O/L788BvpqZZ0XES4D/l5nPjYiLga9n5mfK+/8NcA2wGfhgZr6qbH858AeZeXyTx5xdsJIkSZJUE5kZzdoXtnDMXwXuysz7ASLin4CXUYzO/WP5oDdHxOMR8TMUI3WHNtz/4LJtFDikSfuMn4QkSZIkdbtWrrm7BzgmIvYtC6McB9wOfB54JUBELAf2ycwfAlcDvx0R+0TEMuBw4BuZeR/wYEQcXR7nZOCqFuKSJEmSpK4z65G7zPxGRPwDcAvwWPn/J8rNn4qI24BHKZI1MvP2iLiSIgF8jP/f3pmHyVXV6f/zhoQgJoGwCEmASNjCGhgZVFSWKJsiirIpSFQYcGQA9YfIKEOCIILoTxg2ERECYReQ1YDGqAjKgA6RTZAQkmBCQjayy5Lv/HFOkZuyqro63Z2uqn4/z3Oevuee9Xbd9579HPhyrJwTehJwLbAOcH9EjF/dfBljjDHGGGNMT2S119wZY4wxxhhjjGkcOnoUgjGrjaRRkh6q4T5R0hfXZJ6MqRdJT0naq7vzYUxX4Pe7a3C5ZopYZ6Yr6MiGKsZ0Bh46Nk1JROzU3Xkwpqvw+21M12Od1UbS3sC4iNi8Tc/mbTxyZ4xpaSSt1d156AjNnn9jqtEM73be6M2YpqUZdFYD4UGAduPGXYsjaZCkn0maLWmypJPz/dGSbpE0VtJCSU9K+pdCuG9Iejm7PStp33xfks6Q9IKkVyXdnM88RNJQSSskfV7SNElzJZ0oaXdJkyTNy+cdFukl6RJJCyQ9I2lkjWf5YvYzV9IvJG1Rza/p2UiaIul0SZOAxZI2l3R7uQ6y39GSbsvv8kJJj0vapc40RhbiuFXS9TmOSZK2yVqZJWmqpP0KYSdKOk/So5Jek3RnBR19UdJUYEK+f0iewjNP0q8lDc/3T5d0W1neLpZ0Ub4eIOknkmZImi7pnLYqrKUp05IuzOlNlnRgWf6/Len3+XnHS9qg7V/GNAul97sF3+1ekn6Qy6/Jkk7KeepVyP+5+d1eAmyZ07m6WjqqUTZJ2k+pDJ2vVP4p3++T/e9Y8LuxpCVKx0eZHkAL62xU1tD/z+/+C5Len+9Pk/SKpGML/j8q6en87NMlfU3SuqTzsAdLWpTdNu2kf31L48ZdC5PFdw9pJ9NBpOMqTi18ID4O3Aisl/1dlsNtS9rB9D0RMQA4AHgphzkFOAT4EDAYmA9cXpb0HqSjLo4ELgK+SToeYyfgCEkfKvh9L/A3YENgDHBH6QNV9iyfAM4APglsDDwE3NS+/4jpYRwFHARsANwJ/JnKOoD0Tt8CDCS9Vz9X+3s7DwbGAusDTwAPkCpyg4FzgCvL/H8O+DywKfAWUN7xsRcwHDhA0jYkrZ5Cev9/AdwjqTdwM3CQpHdCqrwChwM35HjGAq8Dw4DdgP2A4+t4nj2AZ0navBC4usz9M8ConJ++wGl1xGmak1Z6t08glWm7AP9CKlPKRwaOyfH0Jx37NJa0+/c/pVOrbJK0EXA7qQzcCJgMfAAgIt7I/o4ppPsZ4Ff5+CjT82glnUEqQ54glcE35XR2B7bKeb80N+AAfgL8W65z7gT8OiKWksrwGRHRPyIG5OPTTFtEhE2LGpKwXiq7dwbwU2A08GDh/vbAkny9FfAKqRLcuyz8M8C+Bfsgkuh7AUNJH5hNC+5zgMML9p8Bp+TrUcDLZfE/ChydrycCX8zX9wNfKPjrBSwBNu/u/7NN4xlgCjAqX7+3ig6uztejgUcKbgJmAB+oI42RhTgeKLgdDCxk5Y7E/YAVwIBsnwicV/C/PanyqIKOhhbczwRuLsvjy8Be2f474Jh8vR/wt3y9CbAc6FsIexSp4Kz1bKOA5wv2d+T8v6uQ/28W3P+ddIxNt//2Np1jSu93C77bE0iVyJL9wzlPvQr5H1Nwf1eVdCbk66plE6kC+0hZ+tNZWa7tAUwtuD0GHNbdv73NmjMtrLNRwHMF+045TxsV7s0BdsnXLwH/BvQvi2dvYFp3/07NZjxy19oMBYbkIfh5kuYD/0kqrCA14EosBdaR1CsiJgNfIY2kzZJ0Y2EofChwZylOVp5buEkhrtmF62XArDJ7v4L972V5nkrqpar0LBcX0p1L6m0dUv3xTQ/n5fx3C2rrAFKFC4BIJcrLVH4Pa1H+ns/JcZXssOq7P71wPRXoQ+rdL88/OS9Ty/I4nZXv/02kXn/y3xvz9RY53pmFZ/9RWTrVePv7EBGV8l/+/Si6mdaild7twWX5m17BT/He0CrpbFxwr1Y2lae1StwR8T/AEkl7S9qO1LF6dxv5N61LK+ms0vMQEXPK7pWe59PAx4Cpecrp++qI31TBu2W2NtOBFyNiu3IHSaNrBYyIm4GbJfUjHU5/AaknZhqp1/EPFeIcuhp5LG+cbQHcVcHfdODciPBUTFMvpUKxqg4KvL0TV57OvBlp9K4rKe7+NZQ0Aj6HpAFYdarYDFLPZ3n4UufIbcD3JQ0BDgVKBeN0Uq/rhoVKgjFdTSO/2zNJ+i5Rae12Mb620plGlbIpL3Eoj79817+xpBG+V4CfRcTrtbNvzNs0ss7aRUT8CfhkXg5xMnAr6Tlcbq0GHrlrbf4HWJQXy64jaS1JO0ravYr/0kLvbSXtK2lt0sdiGWk6AKQ53+cpLxhXWgB+SHkc7WATSSdL6i3pcNL88Psq+PsR8E1JO+R015N0WDvTMj2TenTwHkmlguWrpMLsj12cr2MkDc9rDs4GbisUnuU6uhX4WNZlb0mn5Tw+Am/3hv4WuIbUkH0u338FeBD4oaT+SgyTz1UyXUsjv9u3ktbcDjp0ihoAAB1HSURBVM7ru0+v5bmOdK6ketl0H7BD6dsi6VRWneUCaV3TocDRwHVt5N2YIo2ss0pUrB8qbS70WUkDIuItYBFpCiek0b8NJQ1YjfR6LG7ctTARsYI0b3tX0rzu2cBVQDWRlD4KfYHzgVdJvT0bk6axAVxMGll7UNJrpA/DHhXiqNf+R2AbUm/TOcCnI2JBud+I+HnO082SFgB/AQ7EmMoU3516dHAXaQOg+aRK1qG5kKkrjfbmKXM9qdd+BrA2cGo1vxHxPGnjhUtJuvwY8PGIeLPg7UbS+qEbWJVjc/zPAPNIPbSrs+NYVLk2rUl7fuNmerevIlVW/wL8idQAezN/Jyo9S810apVNkTZGOZw082UOadrlw2XP/zJps6eIiN+3kXfTerSqzurJf9H+OWBK1tAJpHKY3Mi8CXgxTwv1bpl1oPBMHWNMDyZPUd4qIo5t03PnpTkRuD4ifrqm0jRmTdBs77bSER9XRMSW3ZiHq4G/R8RZ3ZUH01w0m87MmsVr7owxxhjTI5C0DrAvafRuU9IuhXd0Y37eTZqWuVt35cEY01p4WqYxxlRA6eDz0sGpJVOyb9Z2DDXp9ikTkq4oe77Sdfm5lca0h0Z/t0VanzSPNC3zaVIDrzvy+W3SNM7vRcTUtvwbU6DRdWa6EU/LNMYYY4wxxpgWwCN3xhhjjDHGGNMCuHFnjDHGGGOMMS2AG3c9FEm/kbSsME/62YLbUEkryuZQf6vgvrakH0l6RdIcSXdJGtQ9T2JM9yHpekkzJS2Q9FdJx5W5HyHpGUmvSXpK0ifK3C/IGnpV0vlrNvfGNB65/Lkvb3s+Q9IlknoV3D8s6VlJiyVNUD5z1RiTyGffTcjl0vOSPlnF31m5rjdyTefRdC1u3PVcAvhyRAyIiP4RsX0F9/Wy24CI+E7B7SvAe4GdgMHAAuCSNZJrYxqL7wJbRsT6wCHAuZJ2A5A0mHQO0VciYj3SYck3Stoou5+Yw+wM7AJ8XNIJ3fAMxjQSl5POotyEdDbl3sCXASRtCNwOfAvYgLQhyi3dk01jGg9Ja5HObb0bGAicCIyTtHWZv2HAYaQz8kyL4cZdz0ZtuFV7P94NPBARcyLidVLhumPFSFaOAn5e0jRJcyWdKGl3SZNy7+wlBf9b5VHFBZJmS7ppNZ/NmC4nIp6JiOXZKlKnyFbZvhkwPyIezH7vB5YU3I8FfhARMyNiJvB94POV0rGOTA/i3cAtEfFGRMwGxrOyfPkU8FRE3JHLnjHACEnbVopI0kRJ50h6OM9CuUvSBpLG5dH0R4sjf5J+KGlWdpskaYcufVJjOp/hwKCIuDgSE4GHSYeEF7mM1OH4Rq3IrKHmxI27ns13c8XvIUl7l7kF8FKuSP4095iWuBr4oKRBktYFjgbubyOtPYCtgSOBi4BvAiNJo39HSPpQ9ncOqeG4Pqly7BFB09BIukzSEuBZUi9oSQuPA89KOlhSrzw1Zjlp63NIFdZJhagmUaWTpIB1ZFqdi4CjJL1D0hDgIOAX2W0VzUTEUuAFauvmSFIZNZiknUdIZdhA4K/kYxAk7Q98ENg6j7QfAcztvMcyptsQqYxIFulwYHlEjK8zvDXUZLhx13M5HRgGDAGuAu6RtGV2mwP8KzAUeA/QH7ihEPZvwHTg76QpmcNJlclqBPDtiHg9In5FGr24KSLmRsQM4CFWHuD6BjBU0pDs/5GOP6oxXUdEnAT0IxVqdwD/yPdXkKZl3pTvjQNOjIhlOWg/4LVCVAvzvapJYR2Z1uchUkV0ITANeCwi7s5u5Zoh++tfI75rIuKliFhEaiROjoiJWZ+3sapm+gM7SFJEPBcRszrnkYxZYzwHzJZ0mqTeucG1N7AugKT+wHeAU9oRpzXUZLhx10OJiMciYkme+nIdadj+o9ltSUT8OSJWRMSrwH8A+0t6Zw5+OdCX1GvzTuBO0tSZWswuXC8DZpXZS5Xar5Pey/+R9KSkL6z+UxqzZsjTXx4BNgf+HUDSR4DvAXtFRB9gH+BqSbvkYIuBAYVo1sv3amEdmZZFkkhlyc9IldGNgA20crOhcs1A0s2iGtGWa6SiZvL0tUtJ09VmKW0aVquzxZiGIyLeBD4JHAzMBL5KWjrzcvYyBrguIqa3I1prqMlw486UCGqvwQtWvi8jSD05r0XEG6QpX3tI2qDDmYiYHREnRMQQ4EvA5XnhrzHNQG9WrqkbAfw2Iv4XICIeBx4FPpLdn85+Suya73UY68g0KRuQOkguyx2P84FryB2PJH3sWvKcOxy3ovN0c2lE7A7sAGxH6iQxpqmIiKciYp+I2DgiDiJp5NHsPBI4RWmX55kkvd0qqVPedWuoMXDjrgciaT1J+0vqK2ktSUcDHyKPvknaQ9K2SmwIXAxMzEPyAI8Bx0oaIKkPcBLw94iYVy3JduTtsLzOAtKUzxXZGNNQSNpY0pGS3pnX1B0AHAX8Knt5jLQ2dUT2vxtJZ6U1Q9cBX5M0OL/zXyNVZKsm2Y68WUem6YiIucAU4Eu5bFofGMXKdap3AjtKOlRSX9Janyci4vmOpp03J9pDUm/SaMRyrBnThEjaOdfv1pV0GrApMDY7l9Zoj8hmBnACabSto+laQw2CG3c9kz7AuaQpXq+SGmefiIgXsvswUkNvIalQXQ58thD+NNIaor+RhucPBA6tkV60w/6vwKOSFgI/B06JiJfqeipj1ixBmoI5HZhHmoJ5akTcBxARvwPOBn4m6TXS2oRzI2JCdr8SuAd4ktTguzsirmojvXrt1pFpVj5FGql7FXgeeJ00tYyImAN8GjiPpLndSR0q1SjXSC0GkNafzyM1MOcAF7Yz78Y0Ap8jTcl8BdgX2C/PsiIi5ueZHbPzbrRvAgvy5kSVsIaaEEW053czxhhjjDHGGNOIeOTOGGOMMcYYY1oAN+6MMcYYY4wxpgVw484YY4wxxhhjWgA37owxxhhjjDGmBXDjzjQtkkZJeqi782FMM2MdGdMxrCFjOoY11Lm4cdfASBouaYKkBZKel/TJglsfSbdJmiJphaS9qsTRR9KzkqaV3X9J0lJJC7MZ39XP00V4u1dTkzZ09F5JD0qaK2mWpFskbVpw30fSr3PYF6vEf6qkFyUtlvS0pK3XxHN1MtaRqUpHNFTwV60s+rWk2Tnu/5V0yJp4pi7AGjJVqaWhMn9n5TrdyMK90ZJez3W1RfnvuwvuIyT9Lsc9TdKZXf9EXYI11Em4cdegSFoLuAu4GxgInAiMK6s4PgQcTTrPpBqnk86iKyeAj0XEgGwO7JycG9M41KGjgcCVwNBsFrPqQeJLgKtJZztWiv944AvAQRHRDziYdLaPMS1BJ2ioRLWy6FRgSESsX4h7k059CGO6kTrrc0gaBhxGOli8nJtzXa1//vtSwe1G4DdZQ/sAX5Z0cOc/iWkW3LhrXIYDgyLi4khMBB4mHU5JRLwREf8dEY8AKypFIGlL0uHj362ShurJSO41ulXS9bnHaJKkbSSdkXtqp0r6SMH/AEk/kTRD0nRJ50hSdhuWe6/m5N7acZIGFMJOkfT/chrzJd0kae068zm80IP8rKTDC27XSLpU0r35Gf6Q/z+mtWlLR+Mj4vaIWBwRy4FLgT1LgSPisYi4gXQg6yrkd/os4KsR8Vz2PyUiFlTKiHVkmpQOaQhql0UR8WTpgOVMb2DzShmxhkyTUlNDBS4jdYK8UR5BGwwlNfCIiBeB3wM7VvJoDfUM3LhrLgTs1A7//w38J7C8ivsNWczjJe3SRlwHA2OB9YEngAdyfgYD5wA/LvgdC7wODAN2A/YDji88w3nApsD2wGbAmLK0Dgf2B7YERgCfbyNvSFoXeBAYB2wEHAVcLml4wduRwOj8DJOB77QVr2lJaulob+DpOuPZLJudlabCTJY0po0w1pFpBdqroZplkaR7JC0D/ghMjIjHa6RtDZlWYBUN5cbL8oiotkTm47kR9aSkL5W5XQSMktRb0nbA+4Bf1kjbGmp1IsKmAQ2p9/IF0nSw3iRx/AP4RQW/04G9yu4dCtyXr/cGppW5vx/oC6wDnEGa2jmgSl5GAw8U7AcDCwFlez/gLWAAsAmpAO9b8H8U8OsqcX8C+FPBPgX4TMF+AXB5lbCjgN/l6yOA35a5/wj4r3x9DfDjgttBwDPd/TvbdK1pp452AeYCe1Zw+zDwYtm995NGze8B+pN6T58DjquSF+vIpulMRzVEG2VRwd9awAHAV2rkxRqyaTrTloZy+fE8sHm2TwFGFsIPJzWgRCp3ZgBHFtzfD/yNNOL3FjC6Rl6soR5gemMakoh4U2nB7aXAN4DHgVtIH4Sa5F6PC0gvPFSYfhkRfyhYz5c0CvgQcF+VaItrJZYBcyKrKttF+igMAfoAM0sj99lMy3l7F3BxTqsfqUCfVyOtpcCgKnkqMhR4n6RSXMpxX1fw80pZvP3qiNc0MfXqSGntw/3AyZGmOtfDsvz3gohYBCySdCXwUdI6vUpYR6ap6IiG6imLCum8BTwg6SuSXoiIe6t4tYZMU1GHhsYA10XE9Crh/1qw/kHSxaS1ebdIGgiMB74M3ERqBN4uaVZE/KhKlqyhFseNuwYmIp4iLY4FQNLDwLV1BN2GJI6H8tzotYH1JM0A3hcR0yqECepcg9cG00k9PRsWPhZFziONduwYEa9J+gRwSSel+5uIOKAT4jItRFs6kjSUNIXl7Ii4sR1RP0earrJKcqud0VWxjkzD0AENrU5Z1BvYqhOybQ2ZhqGKhkobD40Ehkg6Kds3Bm6VdEFEXFgpOlbW14YBb0ZaGw4wQ9LNpE7Gao27erGGmhSvuWtgJO0sqa+kdSWdRuqRubbgvrakdbK1r6S++fpJ0oL0XUlznI8n9XKMAF6WtLmkPZW2pu4r6evAhqQFvh0iIl4hzZX+oaT+SgzTyqMa+pN2U1skaQjw9Y6mmbkX2FbSMXneeR9Ju+f556YHU0tH+R2cAFwSEVdVCKusq7WBXjmePgARsQy4GThdUj9JmwEnkKZpdgjryDQSHdBQW2XRdpIOlLROft+OIY0C/LajebaGTCNRRUNjs/NI0vq7EdnMIJUll+Wwh0haP1/vQdph9uc57PPpto7K7/impPVokzqaZ2uoeXHjrrH5HGkt3CvAvsB+sequYs+RtmofTBqWXyppi4hYERGzS4Y0TL4iIl6NiBUkQV6R779Mmv99YETM70Bei706x5Iqw8/kNG4jfcgAzgbeAywgVYJvrxFP/YlHLCY9x1GkD+MM4HzSukLTs6mlo+NIC73HqHCGUCHsXqRpKveSKqlLSYvPS5xM0uAMUufIuIi4tgN5tY5MI7JaGqqjLBJpStosYDZJT0dExBMdyKs1ZBqRqhqKiPllOnkTWBARS3PYo4AXsq6uBc6LiHE57CLgU8DXSO/4n4G/0LENRqyhJqe0gNIYY4wxxhhjTBPjkTtjjDHGGGOMaQHcuDPGGGOMMcaYFsCNO2OMMcYYY4xpAdy4M8YYY4wxxpgWwI0701BIGipphaSK76akKZJGrul8GdMsWEPGdBzryJiOYQ11H27cNRGShkuaIGmBpOclfbLg1kfSbVksKwrnkJTcvyJpsqTXJL0s6QflgpN0qqQXJS2W9LSkrdfUs5XhLVxNl9CGht4r6UFJcyXNknRLPjOo5L6PpF/nsC9WiHtPSY/m7eCfkPSBNfVcFbCGTJfRQR3VLIskvSRpadbRQknj1/TzFbCOTJdQS0Nl/s7KdbqRZfcvkDRH0quSzq8QzvW5Howbd02CpLWAu4C7gYHAicC4MsE+BBxNOkulnLuA3SNiPdJhmbsCpxTiPx74AnBQRPQDDgbmdMGjGNMt1KGhgcCVwNBsFgPXFKJYAlwNnFYh7oE53guA9YALgXskrdclD2NMN9EJOqpZFpEqgx+LiAHZHNiVz2PMmqbO+hyShgGHkc55K94/ETgE2BnYBfi4pBMK7q7P9XDcuGsehgODIuLiSEwkHZr8OYCIeCMi/jsiHgFWlAeOiCmFQ8rXyn62BpAk4CzgqxHxXMH/gkoZkTRa0q2Srs89q5MkbSPpjNxTO1XSRwr+B0j6iaQZkqZLOieniaRekr6fe59eAD5W7z9EiTMkvZDD3yxp/exWmg5wbM7PbEnfrDdu05K0paHxEXF7RCyOiOXApcCepcAR8VhE3ABMqRD3nsArEXFHjvsG4FXS4bL/hDVkmpiO6qhqWVRA9WTEOjJNSk0NFbgMOB14o+z+scAPImJmRMwEvg98HlyfMwk37pobkXo+6/MsfUbSa6RK5y6k3lWAzbLZWdI0pSkzY9qI7mBgLLA+8ATwQM7PYOAc4McFv2OB14FhwG7AfsDx2e0E4KPACGB3Ui9VvZxC6r36UE53PnB5mZ8PANsAHwHOkrRdO+I3rU8tDe0NPN1FcYM1ZFqHdumoRllU4oZcsRwvaZc20raOTCuwioYkHQ4sj4hK05J3BCYV7JPyPYDNcX3ORIRNExigN/ACaUpYb2B/4B/ALyr4nQ7sVSOurYCzgXdl+/tJvaf3AP1JU2meA46rEn408EDBfjCwEFC29wPeAgYAmwDLgb4F/0cBE/L1BOCEgtt+OWyvKmlPAUbm62eAfQtug0gfnV75Gd4i9Y6V3B8Fjuju39Kme0w7NbQLMBfYs4Lbh4EXy+5tkP0fkeMeld+/K6rkxRqyaUrTWTrK7quURfne+4G+wDrAGaRlBgOqhLeObJrOtKUhUj3seWDzbH/7Xcv2N4FtC/atgbfytetzNvTGNAUR8abSgttLgW8AjwO3kD4I7Y1rsqRngCuATwPLstMFEbEIWCTpSlIPzNVVoplVuF4GzImsuGwX6aMwBOgDzCyN3GczLfsdTGqMlpjajkcZCtwpqTQNVaTpC5tUyefSnCfTA6lXQ0rrHu4HTo40zbmeuOfluH9A6m18APgl8HKNYNaQaTo6U0cVyiIi4g8FL+dLGkXqzb+vSpasI9NU1KGhMcB1ETG9cgwsJjW2SqyX74HrcwbcuGsmIuIpYJ+SXdLDwLWrGV0f0rA6pF6d18uTW814y5lO6unZsPCxKDKTNI2gxNB2xD0N+GJZZQBIc7TblUvTI2hLQ/m9+SVwdkTc2M64HwL2yPGsBbxIaux1FGvINBSdrKNiWVQxOepcg9cG1pFpGKpoqLTx0EhgiKSTsn1j4FZJF0TEhaRpziNIjUJImxKVpj67Pme85q6ZkLSzpL6S1pV0GrApqxaoa0taJ1v7SupbcDtO0sb5egfSdJdfAUTEMuBm4HRJ/SRtRpo7fU9H8xwRrwAPAj+U1D8vmh2mlUc13AqcImmI0o6D32hH9FcC50naIj/XxpIOKbh3RoXAtBC1NCRpCGlaySURcVWFsMqaWhvolePpU3DfVVJvSQNIjbppEfHLjubZGjKNRgd1VLUskrS50pEifXL8Xwc2JG020SGsI9NIVNHQ2Ow8krT+bkQ2M0h1ssuy+3XA1yQNznr7Grlh6PqcATfumo3PkXpGXgH2BfaLiOIuSs+RtmsfDIwHlpaEQlqI+qSkRcC92XyrEPbkHHYGqSAdFxHXdiCvxV6dY0kV4meAecBtpA8ZwFWkKWyTSL1Qt7cj3otJ2wk/qLQ4/xHyyEkFv5XspudRS0PHAVsCY5R2DVskaWEh7F6kKSr3knonl5Le3RKnk7abnkqaSnJoB/NqDZlGpSM6qlUW9SdN0ZxHmtK8P3BgrNxdc3WwjkwjUlVDETE/ImaXDGmN3YKIWJrdryQ11p4kva93l3WkuD7Xw1HlkVVjjDHGGGOMMc2ER+6MMcYYY4wxpgVw484YY4wxxhhjWgA37owxxhhjjDGmBXDjzhhjjDHGGGNaADfuTLcjaZSkh7o4jacK2/Ua03JYR8Z0DGvImI5hDTUGbtw1GJJOkvSYpOWSflqH/69KmilpgaSflJ27NVDSnZIWS5oi6TNlYT8s6dnsPqFwbEJ30Gnbtkq6RtK3V4k8YqeI+F1npWEamzWso+Ml/S1v+36/pEFd8Ux1Yh2ZTqGTNVQ1rnym3W1ZWysaoNJmDZlOoZM1dH3B7a+SjisL6/qceRs37hqPvwPnAFe35VHSAaSztfYFhgJbAWcXvFwOLAc2Bo4BrpC0fQ67IekMkm8BGwB/Am7ptKfoIiSt1d15ME3BmtLRPsB3gI+TdPQScFMnPUOXYR2ZOuhMDbUV10PA0aRzv5oCa8jUQWdq6LvAlhGxPnAIcK6k3XJY1+fMqkSETQMa0gfhp234uQE4t2DfF5iZr9cF/gFsVXAfC5yXr/8N+H3BbV3SoczbVklrYs7Tw8Ai0mGTGwDjgNeAR4EtCv6HAw8Cc4FngcMLbhsAd+dwfwS+DfyuSrpDgRXAF0mHQ/8m37+VVBGYD/wG2L7wXK+TKuMLgbvy/SnAyHy9NnAR6cP7MvBDoE93/+Y2nW/WgI4uBC4tuA3K7+uWVdKyjmyaynRUQ+2JC5gO7NVGWtaQTVOZztRQdtuOdED5Ydnu+pw1tIrxyF1zsyMwqWCfBLxL0kBgW+CNiJhc5r5jpbARsRR4oeBeiSNJvauDga2BR0g9UgOBvwKjASStS/oQjAM2Ao4CLpc0PMdzOenDswlwHEnobbEX6QNzQLbfT+rZehfwZ+DG/BxXkT6S34uIARHxiQpxnQnsAewCjMjXZ9aRB9OadERH5ZS+qTvVSM86Mq1GLQ11BdaQaTXa1JCkyyQtITWwZpDevX8K6/qcNeTGXXPTj9RbUmIhIKB/dltY5n9hdqsUtty9EtdExEsRsQj4BTA5IiZGxArgNmC37O9gYEpEXBeJSaQpA4dL6gV8CviviFgeEU+TRkJqEcDoiFgWEf8AiIhrI2JpRLxB6ikaIalW3ot8Fjg7IuZGxFzS1Idj6wxrWo+O6Gg86b3eSdI7gLNIPZPr1kjPOjKtRi0NdQXWkGk12tRQRJyU/X0QuIM0q6RS2FJ41+d6KG7cNTeLgQEF+3ok4Syq4FZyX1QlbLl7JWYVrpdVsPfL10OB90mal818kgA3Ia1b6k0aPi8xtUaaJd72L6mXpPMlvSBpAWmIPki9SvUwGJhWln53boJhupfV1lFETADGkAraF7NZxKrvdznWkWk1ammoK7CGTKtRl4ZyA+sRYHPg36uELYV3fa6H4sZdc/M0aRi6xK7ArIiYDzwP9Ja0VcF9RA5TCrtryUHSO0nD4k/TcaaT5lJvkM3APKT+H8CrwBukD1OJenZ1Ku6+9FnSBhYjIy0ufjeph0sV/FZiBumDVWJovmd6Jh3RERFxRURsGxGDSI283sBTnZAv68g0C7U01J1YQ6ZZaK+GepPqbKWwrs8lrCHcuGs4JK0laR1gLVKlsm+NHYWuA46TtH2el30mcA28Pef6DuDbktaV9EGSgK7PYe8EdpR0qKS+pPnVT0TE853wGPcC20o6RlLvvNX17pK2y0P+dwBjJL1D0g7AqDbiU5m9P2k6wvz8Efsuq34AZgHDasR3E3CmpI0kbQT8Fyv/L6YFWFM6yvHumK+3AH4MXBQR5VNkVgfryHQbnaWheuKStHZ2B+iby6TOwBoy3UZnaUjSxpKOlPTOPNJ1AGnt269yWNfnrKFVcOOu8TiTtDj1G6TFrktJ29siaXOls7Q2A4iIB4DvkXY+mgJMJk0RK3ESae3PbNJi2C9FxLM57Bzg08B5wDxgd9LHohpt9Z6s9BixGNg/xzcjm/OBUoF9MknQM4GfZlMzyjL7daRh+L+TRkgeKXO/mvShmyfpjgpxnAs8DvyFtAj5cdJ29qZ1WCM6AtYBbpS0iLRT2MOkdXfVsI5Ms9CZGqoaV+Y5YAlpitV4YKmqn9NlDZlmobM0FKQpmNNJ9bXvAadGxH05rOtz1tAqKKLu39gYY4wxxhhjTIPikTtjjDHGGGOMaQHcuDPGGGOMMcaYFsCNO2OMMcYYY4xpAdy4M8YYY4wxxpgWwI07Y4wxxhhjjGkB3LgzxhhjjDHGmBbAjTtjjDHGGGOMaQHcuDPGGGOMMcaYFuD/AN3KIcWz2FukAAAAAElFTkSuQmCC\n", + "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2622,9 +2665,9 @@ " #1 #2 #3 #4 | Algorithm\n", " --- --- --- --- | ---------\n", " 40 0 0 0 | ensemble\n", - " 20 0 18 2 | rep_improve_nn\n", - " 17 0 11 12 | improve_greedy\n", - " 3 0 11 26 | improve_mst\n" + " 23 0 15 2 | rep_improve_nn\n", + " 15 0 21 4 | improve_greedy\n", + " 2 0 4 34 | improve_mst\n" ] } ], @@ -2637,7 +2680,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "The `ensemble_tsp` algorithm gives a 1% improvement in tour length, because it gets contributions from both `rep_improve_nn_tsp` and `improve_greedy_tsp` (and, for just 3 out of 40 problems, from `improve_mst_tsp`). Note that in the rankings, for every problem there is a two way tie for first between the `ensemble_tsp` algorithm and whichever member of the ensemble contributed that tour. That's why there are 80 (not 40) entries in the \"#1\" column, and none in the \"#2\" column. This ensemble is comparable to `rep_improve_nn_tsp` with *k*=15, but twice as fast.\n", + "The `ensemble_tsp` algorithm gives a 1% improvement in tour length, because it gets contributions from both `rep_improve_nn_tsp` and `improve_greedy_tsp` (and, for just 2 out of 40 problems, from `improve_mst_tsp`). Note that in the rankings, for every problem there is a two way tie for first between the `ensemble_tsp` algorithm and whichever member of the ensemble contributed that tour. That's why there are 80 (not 40) entries in the \"#1\" column, and none in the \"#2\" column. \n", "\n", "# Comparing Precise Algorithms\n", "\n", @@ -2646,14 +2689,14 @@ }, { "cell_type": "code", - "execution_count": 81, + "execution_count": 82, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2666,14 +2709,14 @@ }, { "cell_type": "code", - "execution_count": 82, + "execution_count": 83, "metadata": {}, "outputs": [ { "data": { - "image/png": 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LZ7oLkrZA1hZJ08HaolGY8EbeMyFJzcZ+SZIkSdLmkGTcSUwmdR84SZIkSdLMM8BJkiRJUiMMcJIkSZLUCAOcJEmSJDXCACdJkiRJjTDASZIkSVIjDHCSJEmS1AgDnCRJkiQ1wgAnSZIkSY0wwEmSJElSIwxwkiRJktQIA5wkSZIkNcIAJ0mSJEmNMMBJkiRJUiMMcJIkSZLUCAOcJEmSJDXCACdJkiRJjTDASZIkSVIjDHCSJEmS1Ig5M90BaVOsXLmKxYtPZfXqdcybtw3Lli1ijz12m+luSWqctUXSdLC2aJRSVTPdh/UkqdnYL80OK1eu4pBD3sOKFScA2wO3sOeeSzjnnFdaDCVtMmuLpOlgbdGmSkJVZbjdIZRqzuLFpw4UQYDtWbHiBBYvPnUGeyWpddYWSdPB2qJRM8CpOatXr+POIjhme9asWTcT3ZG0hbC2SJoO1haNmgFOzZk3bxvglqHWW5g717ezpE1nbZE0HawtGjXfOWrOsmWL2HPPJdxZDLux5MuWLZqxPklqn7VF0nSwtmjUnMRETRqbzWnNmnXMnetsTpJGw9oiaTpYW7QpNjSJiQFOkiRJkmYZZ6GUJEmSpMYZ4CRJkiSpEQY4SZIkSWqEAU6SJEmSGmGAkyRJkqRGGOAkSZIkqREGOEmSJElqhAFOkiRJkhphgJMkSZKkRhjgJEmSJKkRBjhJkiRJaoQBTpIkSZIaYYCTJEmSpEYY4CRJkiSpEQY4SZIkSWqEAU6SJEmSGmGAkyRJkqRGGOAkSZIkqREGOEmSJElqhAFOkiRJkhphgJMkSZKkRhjgJEmSJKkRBjhJkiRJaoQBTpIkSZIaYYCTJEmSpEYY4CRJkiSpEQY4SZIkSWqEAU6SJEmSGmGAkyRJkqRGGOAkSZIkqREGOEmSJElqhAFOkiRJkhphgJMkSZKkRkwY4JLsmuQrSS5NckmSV/Xtj0nyjSQXJvlWkscNrHN8kiuTXJ7k0IH2/ZNcnOSKJO+ankOSJEmSpC3TZM7ArQVeU1X7Ak8Ajk6yN/A2YElVPRZYArwdIMk+wBHA3sDTgZOSpN/W+4Cjqmo+MD/JYSM9GkmSJEnagk0Y4Krquqq6qH98M/BfwFxgHbBTv9h9gdX948OBM6pqbVVdBVwJLEiyC3CfqrqgX+504LmjOhBJkiRJ2tLNmcrCSXYH9gO+Cbwa+FKSdwABntgvNg/4xsBqq/u2tcC1A+3X9u2SJEmSpEmYdIBLsgPwKeDYqro5ySv6x59J8jzgZOCQUXVs6dKldzxeuHAhCxcuHNWmJUmSJGlWWb58OcuXL59wuVTVxAslc4AvAF+sqhP7thuq6r4Dy9xQVfdNchxQVfXWvv1sumvkVgHnVdXeffuRwEFV9Ypx9leT6ZckSZIkbYmSUFUZbp/sbQROBi4bC2+91UkO6jf+e3TXugF8DjgyybZJ9gD2Ar5VVdcBNyZZ0E9q8iLgs5t4PJIkSZK01ZlwCGWSJwEvBC5JciFQwOuBlwLvTnIP4DbgZQBVdVmSM4HLgNuBowdOpx0DnApsB5xVVWeP9nAkSZIkacs1qSGUm5tDKCVJkiRtze7uEEpJkiRJ0gwzwEmSJElSIwxwkiRJktQIA5wkSZIkNcIAJ0mSJEmNMMBJkiRJUiMMcJIkSZLUCAOcJEmSJDXCACdJkiRJjTDASZIkSVIjDHCSJEmS1AgDnCRJkiQ1wgAnSZIkSY0wwEmSJElSIwxwkiRJktQIA5wkSZIkNcIAJ0mSJEmNMMBJkiRJUiMMcJIkSZLUCAOcJEmSJDXCACdJkiRJjTDASZIkSVIjDHCSJEmS1AgDnCRJkiQ1wgAnSZIkSY0wwEmSJElSIwxwkiRJktQIA5wkSZIkNWLOTHdA2hQrV65i8eJTWb16HfPmbcOyZYvYY4/dZrpbkhpnbZE0HawtGqVU1Uz3YT1Jajb2S7PDypWrOOSQ97BixQnA9sAt7LnnEs4555UWQ0mbzNoiaTpYW7SpklBVGW53CKWas3jxqQNFEGB7Vqw4gcWLT53BXklqnbVF0nSwtmjUDHBqzurV67izCI7ZnjVr1s1EdyRtIawtkqaDtUWjZoBTc+bN2wa4Zaj1FubO9e0sadNZWyRNB2uLRs13jpqzbNki9txzCXcWw24s+bJli2asT5LaZ22RNB2sLRo1JzFRk8Zmc1qzZh1z5zqbk6TRsLZImg7WFm2KDU1iYoCTJEmSpFnGWSglSZIkqXEGOEmSJElqhAFOkiRJkhphgJMkSZKkRhjgJEmSJKkRBjhJkiRJaoQBTpIkSZIaYYCTJEmSpEYY4CRJkiSpEXNmugPaeiTr3Uh+1qqqme6CpEmytkiaDtYWzVYGOG0201FcErBmSVs3a4uk6WBt0WzlEEo1bcmSme6BpC2RtUXSdLC2aBQyG0+5JqnZ2C9JkiRJ2hySUFXrjeX1DJwkSZIkNcIAJ0mSJEmNMMBJkiRJUiMMcJIkSZLUCAOcmrZ06Uz3QNKWyNoiaTpYWzQKzkKppnk/FUnTwdoiaTpYWzQVzkIpSZIkSY0zwEmSJElSIwxwkiRJktQIA5wkSZIkNcIAp6YtWTLTPZC0JbK2SJoO1haNgrNQSpIkSdIss8mzUCbZNclXklya5JIkrxp47pVJLu/b3zLQfnySK/vnDh1o3z/JxUmuSPKuURyYJEmSJG0t5kximbXAa6rqoiQ7AN9J8mVgF+DZwKOram2SBwAk2Rs4Atgb2BU4N8nD+1Nq7wOOqqoLkpyV5LCq+tJ0HJgkSZIkbWkmPANXVddV1UX945uBy4F5wCuAt1TV2v65n/SrPAc4o6rWVtVVwJXAgiS7APepqgv65U4HnjvKg5EkSZKkLdmUJjFJsjuwH/BNYD5wYJLzk5yX5IB+sXnANQOrre7b5gHXDrRf27dJkiRJkiZhMkMoAeiHT34KOLaqbk4yB9i5qh6f5HeBfwIeNqqOLV269I7HCxcuZOHChaPatLYgS5d2X5I0StYWSdPB2qKNWb58OcuXL59wuUnNQtmHtS8AX6yqE/u2s4C3VtW/9d9fCTweeClAVb2lbz8bWAKsAs6rqr379iOBg6rqFePsz1koNSkJ+FaRNGrWFknTwdqiqdjkWSh7JwOXjYW33meAg/uNzwe2raqfAp8DXpBk2yR7AHsB36qq64AbkyxIEuBFwGc3/ZAkSZIkaesy4RDKJE8CXghckuRCoIDXA6cAJye5BPgVXSCjqi5LciZwGXA7cPTA6bRjgFOB7YCzqurs0R6OJEmSJG25vJG3muZQBEnTwdoiaTpYWzQVd3cIpSRJkiRphk16FkptXe53P/j5z2e6F5OT9f4uMfvsvDP87Gcz3Qtp5llbRsvaInWsLaNlbZndHEKpcXmKf7R8PaWOvwuj5espdfxdGC1fz9nBIZSSJEmS1DgDnCRJkiQ1wgAnSZIkSY0wwEmSJElSIwxwkiRJktQIA5wkSZIkNcIAJ0mSJEmNMMBJkiRJUiMMcJIkSZLUCAOcJEmSJDXCACdJkiRJjTDASZIkSVIjDHCSJEmS1AgDnCRJkiQ1wgAnSZIkSY0wwEmSJElSIwxwkiRJktQIA5wkSZIkNcIAJ0mSJEmNMMBJkiRJUiMMcJIkSZLUCAOcJEmSJDXCACdJkiRJjTDASZIkSVIjDHCSJEmS1AgDnCRJkiQ1wgAnSZIkSY0wwEmSJElSIwxwkiRJktSIOTPdAc1ORSAz3YstRw38V9qaWVtGy9oidawto2Vtmd0McBpXKMrf25FJLIMSWFtGzdoidawto2Vtmd0cQilJkiRJjTDASZIkSVIjDHCSJEmS1AgDnCRJkiQ1wgAnSZIkSY1wFko15y0vexm3XXHFeu3bzZ/Pcf/4jzPQI0lbAmuLpOlgbdGoGeDUnNuuuIKl//Zv67Uv3fxdkbQFsbZImg7WFo2aQyglSZIkqREGOEmSJElqhAFOkiRJkhphgJMkSZKkRjiJiZqz3fz54174u938+Zu7K5K2INYWSdPB2qJRS1XNdB/Wk6RmY7+2Jgn4IxgdX0+p4+/CaPl6Sh1/F0bL13N2SEJVZbjdIZSSJEmS1AgDnCRJkiQ1wgAnSZIkSY0wwEmSJElSIwxwkiRJktQIA5wkSZIkNcIAJ0mSJEmNMMBJkiRJUiMMcJIkSZLUCAOcJEmSJDXCACdJkiRJjTDASZIkSVIjDHCSJEmS1IgJA1ySXZN8JcmlSS5J8qqh5/8yybok9xtoOz7JlUkuT3LoQPv+SS5OckWSd432UCRJkiRpyzaZM3BrgddU1b7AE4BjkjwSunAHHAKsGls4yd7AEcDewNOBk5Kkf/p9wFFVNR+Yn+SwkR2JJEmSJG3hJgxwVXVdVV3UP74ZuByY1z/998Brh1Z5DnBGVa2tqquAK4EFSXYB7lNVF/TLnQ489+4fgiRJkiRtHaZ0DVyS3YH9gG8mORy4pqouGVpsHnDNwPer+7Z5wLUD7ddyZxCUJEmSJE1gzmQXTLID8CngWOA3wOvphk9KkiRJkjaDSQW4JHPowttHquqzSR4F7A58r7++bVfgu0kW0J1xe+jA6rv2bauBh4zTPq6lS5fe8XjhwoUsXLhwMl2VJEmSpOYsX76c5cuXT7hcqmrihZLTgZ9U1Ws28PxKYP+q+nmSfYCPAf+DbojkOcDDq6qSnA+8CrgA+Ffg3VV19jjbq8n0S9MnAX8Eo+PrKXX8XRgtX0+p4+/CaPl6zg5JqKoMt094Bi7Jk4AXApckuRAo4PVDwauAAFTVZUnOBC4DbgeOHkhjxwCnAtsBZ40X3iRJkiRJ45vUGbjNzTNwM8+/vIyWr6fU8XdhtHw9pY6/C6Pl6zk7bOgM3JRmoZQkSZIkzRwDnCRJkiQ1wgAnSZIkSY0wwEmSJElSIwxwkiRJktQIA5wkSZIkNcIAJ0mSJEmNMMBJkiRJUiMMcJIkSZLUCAOcJEmSJDXCACdJkiRJjTDASZIkSVIj5sx0BzR7JTPdgy3HzjvPdA+k2cPaMjrWFulO1pbRsbbMbgY4jatqpnswOUk7fZXUzu+rtUVqSyu/r9YWjYJDKCVJkiSpEQY4SZIkSWqEAU6SJEmSGmGAkyRJkqRGGODUtCVLZroHkrZE1hZJ08HaolFIzcKpcJLUbOyXJEmSJG0OSaiq9W6Q4Rk4SZIkSWqEAU6SJEmSGmGAkyRJkqRGGOAkSZIkqREGODVt6dKZ7oGkLZG1RdJ0sLZoFJyFUk1LwLeKpFGztkiaDtYWTYWzUEqSJElS4wxwkiRJktQIA5wkSZIkNcIAJ0mSJEmNMMCpaUuWzHQPJG2JrC2SpoO1RaPgLJSSJEmSNMs4C6UkSZIkNc4AJ0mSJEmNMMBJkiRJUiMMcJIkSZLUCAOcmrZ06Uz3QNKWyNoiaTpYWzQKzkKpzSZZbxKdWcv3n9QOa4uk6WBt0Uzb0CyUc2aiM9o6WVwkTQdri6TpYG3RbOUQSkmSJElqhAFOkiRJkhphgJMkSZKkRhjgJEmSJKkRBjhJkiRJaoQBTpIkSZIaYYCTJEmSpEYY4CRJkiSpEQY4SZIkSWqEAU6SJEmSGmGAkyRJkqRGGOAkSZIkqREGOEmSJElqhAFOkiRJkhphgJMkSZKkRhjgJEmSJKkRBjhJkiRJaoQBTpIkSZIaYYCTJEmSpEYY4CRJkiSpEQY4SZIkSWqEAU6SJEmSGjFhgEuya5KvJLk0ySVJXtm3vy3J5UkuSvLPSXYcWOf4JFf2zx860L5/kouTXJHkXdNzSJIkSZK0ZZrMGbi1wGuqal/gCcCfJ3kk8GVg36raD7gSOB4gyT7AEcDewNOBk5Kk39b7gKOqaj4wP8lhIz0aSZIkSdqCTRjgquq6qrqof3wzcDkwr6rOrap1/WLnA7v2jw8HzqiqtVV1FV24W5BkF+A+VXVBv9zpwHNHdyiSJEmStGWb0jVwSXYH9gO+OfTUS4Cz+sfzgGsGnlvdt80Drh1ov7ZvkyRJkiRNwpzJLphkB+BTwLH9mbix9jcAt1fVJ0bZsaVLl97xeOE/27DBAAAgAElEQVTChSxcuHCUm5ckSZKkWWP58uUsX758wuVSVRMvlMwBvgB8sapOHGhfBLwUOLiqftW3HQdUVb21//5sYAmwCjivqvbu248EDqqqV4yzv5pMvyRJkiRpS5SEqspw+2SHUJ4MXDYU3p4GvBY4fCy89T4HHJlk2yR7AHsB36qq64AbkyzoJzV5EfDZTTweSZIkSdrqTHgGLsmTgH8HLgGq/3oD8G5gW+Cn/aLnV9XR/TrHA0cBt9MNufxy334AcCqwHXBWVR27gX16Bk6SJEnSVmtDZ+AmNYRyczPASZIkSdqa3d0hlJIkSZKkGWaAkyRJkqRGGOAkSZIkqREGOEmSJElqhAFOkiRJkhphgJMkSZKkRhjgJEmSJKkRBjhJkiRJaoQBTpIkSZIaYYCTJEmSpEYY4CRJkiSpEQY4SZIkSWqEAU6SJEmSGmGAkyRJkqRGGOAkSZIkqREGOEmSJElqhAFOkiRJkhphgJMkSZKkRhjgJEmSJKkRBjhJkiRJaoQBTpIkSZIaYYCTJEmSpEYY4CRJkiSpEQY4SZIkSWqEAU6SJEmSGmGAkyRJkqRGGOAkSZIkqREGOEmSJElqhAFOkiRJkhphgJMkSZKkRhjgJEmSJKkRBjhJkiRJaoQBTpIkSZIaYYCTJEmSpEYY4CRJkiSpEQY4SZIkSWqEAU6SJEmSGmGAkyRJkqRGGOAkSZIkqREGOEmSJElqhAFOkiRJkhphgJMkSZKkRhjgJEmSJKkRBjhJkiRJaoQBTpIkSZIaYYCTJEmSpEYY4CRJkiSpEXNmugPSpli5chWLF5/K6tXrmDdvG5YtW8Qee+w2092S1Dhri6TpYG3RKKWqZroP60lSs7Ffmh1WrlzFIYe8hxUrTgC2B25hzz2XcM45r7QYStpk1hZJ08Haok2VhKrKcLtDKNWcxYtPHSiCANuzYsUJLF586gz2SlLrrC2SpoO1RaNmgFNzVq9ex51FcMz2rFmzbia6I2kLYW2RNB2sLRo1A5yaM2/eNsAtQ623MHeub2dJm87aImk6WFs0ar5z1Jxlyxax555LuLMYdmPJly1bNGN9ktQ+a4uk6WBt0ag5iYmaNDab05o165g719mcJI2GtUXSdLC2aFNsaBITA5wkSZIkzTLOQilJkiRJjTPASZIkSVIjDHCSJEmS1AgDnCRJkiQ1wgAnSZIkSY0wwEmSJElSIyYMcEl2TfKVJJcmuSTJq/r2nZN8Ocn3k3wpyU4D6xyf5Moklyc5dKB9/yQXJ7kiybum55AkSZIkacs0mTNwa4HXVNW+wBOAY5I8EjgOOLeqHgF8BTgeIMk+wBHA3sDTgZOSjN2/4H3AUVU1H5if5LCRHo0kSZIkbcEmDHBVdV1VXdQ/vhm4HNgVeA5wWr/YacBz+8eHA2dU1dqqugq4EliQZBfgPlV1Qb/c6QPrSJIkSZImMKVr4JLsDuwHnA88uKquhy7kAQ/qF5sHXDOw2uq+bR5w7UD7tX2bJEmSJGkS5kx2wSQ7AJ8Cjq2qm5PU0CLD398tS5cuvePxwoULWbhw4Sg3L0mSJEmzxvLly1m+fPmEy6Vq4tyVZA7wBeCLVXVi33Y5sLCqru+HR55XVXsnOQ6oqnprv9zZwBJg1dgyffuRwEFV9Ypx9leT6ZckSZIkbYmSUFUZbp/sEMqTgcvGwlvvc8Ci/vGLgc8OtB+ZZNskewB7Ad/qh1nemGRBP6nJiwbWkSRJkiRNYMIzcEmeBPw7cAndMMkCXg98CzgTeAjd2bUjquqGfp3jgaOA2+mGXH65bz8AOBXYDjirqo7dwD49AydJkiRpq7WhM3CTGkK5uRngJEmSJG3N7u4QSkmSJEnSDDPASZIkSVIjDHCSJEmS1AgDnCRJkiQ1wgAnSZIkSY0wwEmSJElSIwxwkiRJktQIA5wkSZIkNcIAJ0mSJEmNMMBJkiRJUiPmzHQHpE2xcuUqFi8+ldWr1zFv3jYsW7aIPfbYbaa7Jalx1hZJ08HaolFKVc10H9aTpGZjvzQ7rFy5ikMOeQ8rVpwAbA/cwp57LuGcc15pMZS0yawtkqaDtUWbKglVleF2h1CqOYsXnzpQBAG2Z8WKE1i8+NQZ7JWk1llbJE0Ha4tGzQCn5qxevY47i+CY7VmzZt1MdEfSFsLaImk6WFs0agY4NWfevG2AW4Zab2HuXN/OkjadtUXSdLC2aNR856g5y5YtYs89l3BnMezGki9btmjG+iSpfdYWSdPB2qJRcxITNWlsNqc1a9Yxd66zOUkaDWuLpOlgbdGm2NAkJgY4SZIkSZplnIVSkiRJkhpngJMkSZKkRhjgJEmSJKkRBjhJkiRJaoQBTpIkSZIaYYCTJEmSpEYY4CRJkiSpEQY4SZIkSWqEAU6SJEmSGmGAkyRJkqRGGOAkSZIkqREGOEmSJElqhAFOkiRJkhphgJMkSZKkRhjgJEmSJKkRBjhJkiRJaoQBTpIkSZIaYYCTJEmSpEYY4CRJkiSpEQY4SZIkSWqEAU6SJEmSGmGAkyRJkqRGGOAkSZIkqREGOEmSJElqhAFOkiRJkhphgJMkSZKkRhjgJEmSJKkRBjhJkiRJaoQBTpIkSZIaYYCTJEmSpEYY4CRJkiSpEQY4SZIkSWqEAU6SJEmSGmGAkyRJkqRGGOAkSZIkqREGOEmSJElqhAFOkiRJkhphgJMkSZKkRhjgJEmSJKkRBjhJkiRJaoQBTpIkSZIaYYCTJEmSpEYY4CRJkiSpERMGuCQfTnJ9kosH2h6T5BtJLkzyrSSPG3ju+CRXJrk8yaED7fsnuTjJFUneNfpD0dZo+fLlM90FSVsga4uk6WBt0ShM5gzcKcBhQ21vA5ZU1WOBJcDbAZLsAxwB7A08HTgpSfp13gccVVXzgflJhrcpTZmFUNJ0sLZImg7WFo3ChAGuqr4K/HyoeR2wU//4vsDq/vHhwBlVtbaqrgKuBBYk2QW4T1Vd0C93OvDcu9l3SZIkSdqqzNnE9V4NfCnJO4AAT+zb5wHfGFhudd+2Frh2oP3avl2SJEmSNEmpqokXSnYDPl9Vv9N/fyJwXlV9JsnzgJdX1SFJ3gN8o6o+3i/3IeAsYBXw5qo6tG9/MvDXVXX4BvY3cackSZIkaQtWVRlu29QzcC+uqmP7jX6qD2rQnXF7yMByu/ZtG2qfdEclSZIkaWs32dsIpP8aszrJQQBJfo/uWjeAzwFHJtk2yR7AXsC3quo64MYkC/pJTV4EfHYkRyBJkiRJW4kJz8Al+TiwELh/kqvpZp18KfDuJPcAbgNeBlBVlyU5E7gMuB04uu4co3kMcCqwHXBWVZ092kORJEmSpC3bpK6BkyRJkiTNvMkOoZSmTZIXJ/mPge/XJXnYTPZJ0uySZGWSg0e5XpKDklwzXfuWpLtj+PPROM+fl+Qlm7NPmh0McJotarzHSU5J8rcz0B9JWweHoUiazaxRWo8BTrPRZpmFtL+GU5I2C2uOJGkUDHDabJK8LskPktyU5D+TPHeC5V8KvBD4636dz/bte/fDBn6e5JIkzx5Y5y7DCTYwPPPoJFcAV/Rtf5/k+iQ3Jvlekn1GfOiSRuOx/e/oz5N8Ism2AEmeleTCvv2rSR493spJtktyapKfJflP4Hen2oG+/vwwyQv67zdY1/r689Uk70zyE2DJQNt7ktyQ5DKHZ0ozJ8lvJ/lUkh8nWZHklX37kiSfTHJa//t9SZL9B9Z7XZJr++cuT/LUvj1Jjuvrwn8nOSPJffvndus/hyxKcnWSnyZ5eZLH9bXtZ/09lQdtM9l6keQl/TI/TfLFJA+dhpdMs4ABTpvTD4AnVdWOwAnAR5I8eEMLV9UHgY8Bb6uqHavqOUnm0N2u4mzggcCrgI8lefhG9js8/OA5dB/c9klyKPAUYK+q2gk4Avjpph2epGn2fOBQYA/gMcCiJPsBH6abHfl+wAeAzyW55zjrL+3X3QM4DHjxVHbef3g7Gzimqj7ZNw/XtY8O1bX/0S/zIOCNA21XAvfv+/QvYx/wJG0+SQJ8HrgQ+G3g94BjkxzSL/Js4OPATv1y/9CvN59udvUD+t/9w4Cr+nVeBRxO99liLvBz4KShXS+gu9XWC4B3Aa8HDgYeBRyR5CkDy06qXiR5DnAc8Fy6z0f/AXxiaq+IWmGA02ZTVf9cVdf3j/+J7kPNgilu5vHA9lX11qpaW1XnAV8A/mgK23hTVd1YVb+iu93FDnRhLlX1/bE+Spp1Tqyq66vqBroPU4+lu43N+6vq29X5CPArulox7PnA/+1//1cD757Cvg+ku3/pn1TVF8cax6lrV3LXura6qk6qqnV9zQG4vqreXVW/qaozge8Dz5xCXySNxu8CD6iqN/a/j1cBH+LOzxRfraov9bfE+gjwO337b4BtgUclmVNVV1fVyv65lwNvqKofVdXtwN8Cz0sy9pm7gL+tql9X1bnALcAnquqnVbWGLng9dqCPk60XLwfeXFVXVNU64C3AfkkecjdfI81CBjhtNkleNDDM6efAvsADpriZucDwrHGrgHlT2Ma1Yw/6APheur+qXZ/k/Ul2mGKfJG0eg39cuZXujy+7AX/VDz36WV9bdqWrFcPmMvD7T1c7JuvlwNeq6i4zwk2iro03y+Xqoe9XbaC/kqbXbsC8ofpxPN0Zc4DrBpa9FdguyTZVtQL4C7ozYtcn+XiSXQa2+emxbXLnvZEHz8z/eODxL7lrbfslXW0bM9l6sRtw4sB+f0oXFqfy+UiNMMBps+jHYf8j3c3dd66qnYFLmXjCkuHhj2uA4b8mPZQ7C9wtwG8NPLcL67vLNqvqvVX1OGAf4BHAayfok6TZoYCr6c6q3a//2rmqdhgY4jjoR9y1fuw2hX39b+ChSd451jDJujbeDHLDH6geSlfbJG1e1wA/HKofO1XVsyZasarOqKqncGcdeWv/79XA04e2uX1V/WgT+zjZenEN8PJxauH5m7hfzWIGOG0u2wPrgJ8k2SbJ/6Ib6z2R64HBe8J9E7g1yV8nmZNkIfAs7hznfRHwh0nunWQv4KiNbby/cHhBf23dL4Hb+n5KasMHgVckWQCQZPskz0iy/TjLngkcn+S+SXYF/nwK+/kF8DTgwCRv7ts2ta49KMkr+xr2fOCRwFlT6Iuk0fgW8Iv+M8V2Se6RZN8kj9vA8oHuGrgkT003kdKv6T4/jH12+ADwprEJRJI8MMnhw9uYggePUy/+dZzl3g+8Pv1EbEl2SvK8Ke5LjTDAabOoqsuBdwDn0w1J2Bf46oYWH3j8YWDffkjAv/TjyZ8NPAP4Cd3wxz+tqiv75f+ebqjCdcApwEc3sm2AHek+AP4MWNlv8+1TPkBJ023ceyFV1XeBPwPe2w8buoK7Tk4yuN4JdH8dX0k3GcnpU9l3Vd0EHAI8LckJfV17J5Ora4O+CTycrt4sA/5nVf18kn2RNCL9tWLPAvajqws/pvtMsOOGVun/vRfdNWb/TXc27IF0Qy8BTqS7XvbLSW4Evs5dr4sdrmUTfX8+69eLG4aXrarP9H06I8kNwMV0f3TSFijddZmSJGm6JXkxcFRVHTjTfZEktckzcJIkSZLUiDkz3QFJkmZSP832Zdx16FL67/epqmvHXVGSpBngEEpJkiRJaoRDKCVJkiSpEQY4SZIkSWqEAU7TJskxSS5IcluSk4ee2y3JuiQ3JflF/+8bBp7/qySX9O0rkvzV0PpXJbm1f/6mJGdvruOSNLsl+UiSHyW5Icl/JRn3fpBJ/qavQwdv7j5KatvGPuNI081JTDSdVtPds+Qw4N7jPF/ATrXhCzH/lO4+JnvR3U/l6qo6c2DdZ1bVeSPus6T2vRl4aVXdlmQ+8G9JvltVF44tkORhwPPo7uEkSVM10Wccadp4Bk7Tpqo+U1Wfo7tJ9njCBt6DVfV3VXVRVa2rqivobor5pHHWn1CSJUnO7P8qf1OS7yV5eJLjklyfZFWS3x9YflF/1m/s7N8fTWY/kmaHqrqsqm7rvx2bTXLPocX+Afhr4PaNbSvJeUmWJflaP1rgs0nul+SjSW5M8s0kDx1Y/u/7unJjX2v2GeWxSZodJvEZ5w5JXpzkq0nemeTnSX6Q5Al9+9VJrkvyooHln5Hk0v5zyDVJXjOtB6PmGOA0kwq4qi9eJye5/0aWfQpw6VDbx/oPSmcn+Z0J9vUs4DTgvsBFwJfoPtjNpfsL2j8CJPkt4ETgsKraEXhiv7ykhiT5hyS3AJfTnWU7a+C55wO3VdVkh16/AHghXb3YC/g68GFgZ+C/gCX9dg8FngzsVVU7AUcAPx3JAUlq3QK6zxP3Az4BnAE8ju6PS38KvLf/DALwIbpRBDsCjwK+svm7q9nMAKeZ8hPgd4HdgAOA+wAfG2/BJCfQha1TBpr/GNi9X3858KUkO25kf/9RVedW1Trgn4AHAG+pqt/QFdHdB9b/DfDoJNtV1fVVdfmmHaKkmVJVxwA70AWqfwF+BZBkB+CNwKumsLlTquqqqvoF8EVgRVWdN1BPHtsvdztdLdsnSarq+1V1/WiOSFLjVlbV6f1lI58EdgVOqKrbq+oc4Nd0fyCif7xvkvtU1Y1V5R+SdRcGOM2Iqrqlqr7bD5H8b+DPgUOTbD+4XJI/B/4EeEZV3T6w/jeq6ldVdVtVvQW4ge4s3YYMfoj6JfCTgWvvftn/u0NV3Ur31/ZXAD9K8vkkj7g7xyppZlTn68BD6H6nAU4ATq+qa6awqeH6Mfz9Dv3+zgPeSzc88/ok7+8DoyQN1w2q6idDbWP14n8CzwRW9cO4H795uqhWGOA0mxQD78kkL6G7RuXgqvrRJNad1DVxE3ai6pyqOhTYBfg+8MFRbFfSjJnDndfAHQy8qp+l8kd04e7MJK8dxY6q6r1V9ThgH+ARwEi2K2nrUVXfqarnAg+kmwPgzAlW0VbGAKdpk+QeSbYD7gHMSXKvJPfon1uQZH4696e77uy8fogSSV5IN8zpkKpaNbTdhyR5YpJ79tt8LXB/4Gsj6PODkhzej0O/HbiZbkilpAYkeWCSFyTZPsk2SQ4DjgTO7Rc5mO6aksf0X2vg/7d390FW1fcdx98fXLChPIhPRBC3WRWxmqDVyTjTqhUfY4gZW2mUWmxMwnTGaidxqk6KokukRjujTiNJ4wOCJFqMWq0mastoYx5MYxxJQ7QWZwUS1iXAIuCyCvLtH7/fxeP17nKX3St7735eM2fmnvt7OOcss5/ld87vnMNs0lWz/m77xJxtTaSz6d3Azv72a2aDT2//x6m2ix76HS5ppqQx+TaPLfj/IVbGAzirpTlAF3A16QEAXUDpXW8twJPAZtKrArpJ97WVzCPd6PtzvfeeuAW5bDTwTdKTn34DnAWcExGd/djX0nTKYcBXSI8HXg+cwntTr8xs8AvS7+waUkbcDPxdRDwBEBGdEbGutAA7gE15+nRP/VVrDOmK/UagjZQht+zZYZjZINfb/3GqUZ4txfW/AtokbSKdYJqJWYF6fgWXmZmZmZmZDSa+AmdmZmZmZlYnPIAzMzMzMzOrEx7AmZmZmZmZ1QkP4MzMzMzMzOqEB3BmfSDpEknP7e39MLPG4mwxs1pwtjQmD+BsF0kjJN0l6XVJb0p6UdI5PdS9TtJOSdPKvv8jSf+VH/3fLunyCm1PzW1ba3UsNeZHt5r1gbOlas4Wsz5wtlTN2dJgPICzoiZgNXByRIwFrgWWSjqsWElSC3AB6QW4xe8PAH5AekfbOOAI4OmyOk3AbcDzNToGMxt8nC1mVgvOFhuSPICzXSKiKyJaI2JNXn+C9DLaE8qq3gFcBWwv+/4rwJMR8UBE7IiItyLif8vqXAk8BbzS275ImitpqaT78ku8l0s6UtI1kjokrZJ0RqH+mHwWbq2kNZLmSVIua5G0TNJ6SeskLZE0ptC2TdKVeRudku6XNKKan5mkKZKelrRB0suSZhTKFkr6hqTH8zH8VNLHqunXrJE4W5wtZrXgbHG2DFUewFmPJI0HjgRWFL6bAXRHxJMVmpwEdEr6cQ6rRyVNKrRtBj4PtAKqYhemA4uA/YCXSAEqYAIwD/h2oe4i4B2gBTgeOBP4YmnTwHzgo8DRwKHA9WXbmgGcBXwMmAr89e52TtJI0pm6JcCBwIXAAklTCtU+B8zNx/AacOPu+jVrdM6W3jlbzPaMs6V3zpbG4QGcVaQ0ZWAJcG9EvJq/G0X6Rb6ih2aHArOAy4FJwOvA/YXy24E5EdFV5W48FxH/GRE7gQdJYXNTRLwLPAA05zNY44FPAV+OiO6IWE+a7nARQES8FhHL8tm1DcCtwKll27o9IjoiYhPw78BxVezfdKAtIhZHshx4iBSqJY9ExC/yMXynyn7NGpazxdliVgvOFmfLUNK0t3fABp98CX8J8DYp1EquBxaXpipUsI30i/9i7ucGYL2k0cCfAqMj4nt92JWOsr7XR0QU1gWMAiYCw4H20uyDvKzO+3EwKYRPzvX3ATb2sq0u4JAq9q8ZOElSqS/lvhcX6rxR1u+oKvo1a0jOFmeLWS04W5wtQ40HcFbJ3aSzRufms0YlpwMTJV2W1w8i3Sz89Yi4BfglH3zSUWl9GnCCpPa8PhbYIenjEXF+P/d3DdANHFAIyqL5wE7gmIh4U9JngX/u5zZL2302Is4egL7MhgJnS/XbdbaYVc/ZUv12nS0NwFMo7X0kfQuYApwXEe+UFU8DjiXNtZ5KeprTbNLNwQALgfMlfULScNLToH4UEVuAOcDkQtvHgDtJc8v7JSLeIM3pvlXSaCUtkk7JVUYDW4EtkiYCf9/fbWaPA5MlXSypSdJwSSdKOmqA+jdrGM6WPnG2mFXJ2dInzpYG4QGc7aL02N3ZpPnOHUrvRNksqTQnuzMi1pUWYAewqTQ3PCKeAb4KfJ90Cb4FmJnL3ipruw14K8/d3lPFs1azgBHAr0nTDB4k3fwLcAPpiVSleeIP9dJP9RuP2Eq6gfhC0h+FtcBNwL570p9Zo3K29HHjzhazqjhb+rhxZ0vDUOUrt2ZmZmZmZjbY+AqcmZmZmZlZnfAAzszMzMzMrE54AGdmZmZmZlYnPIAzMzMzMzOrEx7A2ZAnqVnSTkkVfx8ktUma9mHvl5nVN2eLmdWCs8U8gLMeSRoh6S5Jr0t6U9KLks7poe51OUymFb4bK+leSR2S3pA0t4e2p+a2rbU6lir4caxmHxJni5nVgrPFhoqmvb0DNqg1AauBkyNijaRPA0slHRsRq0uVJLUAF5DeJ1J0G/AR4DDSu02WSXo9IhYV2jbles/X9lDMbBBxtphZLThbbEjwFTjrUUR0RURrRKzJ608AbaSXSxbdAVwFbC/7fjpwc0S8HRGrgLuBS8vqXAk8BbzS275ImitpqaT78ks6l0s6UtI1+UzZKklnFOqPyWfh1kpaI2meJOWyYZL+SdLvJK0EPl3tz0TJNZJW5vYPSNovl5WmNMzK+7NO0ler7dtsqHC2VNwPZ4tZPzlbKu6Hs6UBeQBnVZM0HjgSWFH4bgbQHRFP9tSs8HkYcGyhbTPweaC1rF5PpgOLgP2Al0gBKmACMA/4dqHuIuAdoAU4HjgT+GIumw2cC0wFTiSdhavWFcB5wMl5u53AgrI6f0z6OZ0BXCfpqD70bzbkOFsAZ4vZgHO2AM6WxhQRXrzsdiFNS/gPYEHhu1HAq8CkvN4GTCuU3wc8mOsdAawEthXK/w24IH9eCLT2sv25wFOF9enAZkCFfXkXGAOMB7qBfQv1LwSW5c/LgNmFsjNz22E9bHvXcQG/Bk4rlB1CCtxhQHPu55BC+c+Av9jb/35evAzWxdnibPHipRaLs8XZ0siL74Gz3cqX8JcAbwOXF4quBxZHnqpQweXAN4D/A9YD3wUuyn1+BhgdEd/rw650FD5vA9ZHTpu8LlIgTgSGA+2l2Qd5Kc1/nwAU93lVH/ahGXhE0s68LtIUjPE97GdX3iczK+NseR9ni9kAcba8j7OlAXkAZ9W4GzgQODci3i18fzowUdJlef0g0s3CX4+IWyJiE3BxqbKkG4H/zqvTgBMktef1scAOSR+PiPP7ub9rSGeyDigEZVE7MKmw3tyHvlcDl0bET8sL8tQKM6ues+U9zhazgeNseY+zpQH5HjjrlaRvAVOA8yLinbLiaaS54VPzspY0T/uO3LZF0v755ttPAV8izfkGmANMLrR9DLiTNLe8XyLiDeBp4FZJo/MNvC2STslVlgJXSJooaRxwdR+6/xdgvqTD8jEeJOm8Qnk1c+LNhjxnywc4W8wGgLPlA5wtDcgDOOtR/mWfDRwHdEjaovQkpYsAIqIzItaVFmAHsCkiunIXJwD/Q5rzfSMwMyJeyW3fKmu7DXgrn/3aU8WzVrOAEaS53xtJc9o/msvuJN1IvBx4AXioD/3eDjwKPC3pTeAnwCd7qFtp3WzIc7ZU7NfZYtZPzpaK/TpbGlDpRkozMzMzMzMb5HwFzszMzMzMrE54AGdmZmZmZlYnPIAzMzMzMzOrEx7AmZmZmZmZ1QkP4GxIknSJpOdqvI1fFR4BbGZDgLPFzGrB2WJFHsAZki6T9HNJ3ZLuqaL+lyW1S9ok6S5Jwwtl4yQ9ImmrpLbSo3sL5adLejmXLyu9l2QvGbBHsEpaKKn1fZ1HHBsRPxyobZjVG2dL/zlbzD7I2dJ/zpb65gGcAfyW9KLKu3dXUdLZwFXAaUAzcDhwQ6HKAqAbOAi4GPimpKNz2wNI7y75B2B/4BfAvw7YUdSIpH329j6Y1SlnSy+cLWZ7zNnSC2fLEBARXrwQEZDC8J7d1PkO8LXC+mlAe/48EngbOLxQvgiYnz9/CfhRoWwk0AVM7mFbz+R9+jGwhfQiyv2BJcCbwM+Awwr1pwBPAxuAl4EZhbL9gcdyu+eBVuCHPWy3GdgJXAqsAp7N3y8F2oFO4Fng6MJxvUP6A7AZeDR/3wZMy59HALeR/uj8BrgVGL63/wAuKqMAAAN+SURBVM29ePkwFmfLrrrOFi9eBnBxtuyq62wZYouvwFlfHQMsL6wvBw6WNA6YDGyPiNfKyo+p1DYiuoCVhfJKPgf8JTABOAL4CemM2zjgFWAugKSRpBBcAhwIXAgskDQl97OAFLrjgS+QQm53TiGF69l5/fukM3cHAy8C383HcSfpD8TNETEmIj5boa85wCeBTwBT8+c5VeyD2VDhbHG2mNWCs8XZ0nA8gLO+GkU6G1SyGRAwOpdtLqu/OZdValteXsnCiHg9IrYAPwBei4hnImIn8CBwfK43HWiLiMWRLCdNe5ghaRjwZ8C1EdEdEStIZ9h6E8DciNgWEW8DRMS9EdEVEdtJZ8KmSupt34tmAjdExIaI2ECavjGryrZmQ4GzxdliVgvOFmdLw/EAzvpqKzCmsD6WFBpbKpSVyrf00La8vJKOwudtFdZH5c/NwEmSNualkxQ+40nz2ptIUwBKVvWyzZJd9SUNk3STpJWSNpGmGQTprFk1JgCry7Z/SJVtzYYCZ4uzxawWnC3OlobjAZz11QrSpfSS44COiOgEXgWaJB1eKJ+a25TaHlcqkPT7pEv7K+i/NaQ53/vnZVyeFvC3wO+A7cCkQv1qniJVfNrTTOAzpLnh+wF/QDqDpwp1K1lLCuuS5vydmSXOFmeLWS04W5wtDccDOEPSPpJ+D9iHFGT79vIEo8XAFyQdneePzwEWwq654Q8DrZJGSvoTUnjcl9s+Ahwj6XxJ+5Lmgb8UEa8OwGE8DkyWdLGkJknDJZ0o6ag8beFh4HpJH5H0h8Alu+lPZeujSTc6d+YA/0feH34dQEsv/d0PzJF0oKQDgWt57+di1pCcLRU5W8z6ydlSkbNlCPEAziCFWRdwNenG2y7SI3ORNEnSZkmHAkTEU8DNpCcttQGvAdcX+rqM9JSmdaQbc/8mIl7ObdcDfw7MBzYCJ5Ju2u1J1e87iYitwFm5v7V5uQnYN1e5nBRm7cA9eem1y7L1xaSpBL8FfkW6KbnoblLIb5T0cIU+vga8APySdEP0C8CN1RybWR1ztux+284Ws75ztux+286WBqaIAXsnoJmZmZmZmdWQr8CZmZmZmZnVCQ/gzMzMzMzM6oQHcGZmZmZmZnXCAzgzMzMzM7M64QGcmZmZmZlZnfAAzszMzMzMrE54AGdmZmZmZlYnPIAzMzMzMzOrE/8PhK+RqiUfs8kAAAAASUVORK5CYII=\n", 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2699,7 +2742,7 @@ "* **Branch and Cut**: this is a technique to cut off a search early, when a partial solution is obviously not optimal. We saw how Held-Karp cuts off some permutations of cities when another permutation is better. A refinement on that is to keep track of, say, the best total length of the segment going through all the Bs cities. Then, any time you have a partial segment through some of the Bs cities that exceeds the best total, we can stop right there, before even finishing all the Bs. With this technique, you can find optimal tours for around 50 cities.\n", "* **Linear programming**: Look up the topic \"linear programming\" and see how it applies to TSP.\n", "* **Heuristic Algorithms**: There are many approaches for using heurisitic estimates to find good (but not optimal) tours. For example, *ant colony optimization algorithms* make random choices of which link to follow, and then the links that occur in the best tours get reinforced with some virtual pheromones, and other ants tend to follow those pheromones. *Simulated annealing* takes its inspiration from metallurgy.\n", - "* The **[Lin-Kernighan heuristic](http://akira.ruc.dk/~keld/research/LKH/LKH-1.3/DOC/LKH_REPORT.pdf)** is a generalization of `improve_tour` that sometimes splits the tour into three pieces, not two, and cosiders all ways to put it back together. With this and other tricks, approximate algorithms can handle hundreds of thousands of cities and come within 0.01% of the shortest possible tour.\n", + "* The **[Lin-Kernighan heuristic](http://akira.ruc.dk/~keld/research/LKH/LKH-1.3/DOC/LKH_REPORT.pdf)** is a generalization of `improve_tour` that sometimes splits the tour into three pieces, not two, and considers all ways to put it back together. With this and other tricks, approximate algorithms can handle hundreds of thousands of cities and come within 0.01% of the shortest possible tour.\n", "* The **[Christofides algorithm](https://en.wikipedia.org/wiki/Christofides_algorithm)** gives a guarantee of 3/2 the optimal tour length (improving on the minimum-spanning-tree guarantee of 2).\n", "* **improved** as a function: we defined a lot of one-line functions that just call another algorithm, and then call `improve_tour` on the result. Can you write a function, `improved(algorithm)`, which takes a TSP algorithm as argument, and returns an improved TSP algorithm that does the original algorithm and then calls `improve_tour` on the result? Make sure it handles extra arguments, and has a readable function name.\n", "* Why does `mst_tsp` produce a guaranteed result, while `greedy_tsp` does not, even though the two algorithms have similar structure in the way they iterate over `shortest_links_first`?\n", From 2ce3e089622368a634afbd0317a95c364ecb14df Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Mon, 9 Apr 2018 10:10:01 -0700 Subject: [PATCH 55/90] Add files via upload --- ipynb/Dollar.ipynb | 52 ++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 52 insertions(+) create mode 100644 ipynb/Dollar.ipynb diff --git a/ipynb/Dollar.ipynb b/ipynb/Dollar.ipynb new file mode 100644 index 0000000..78345d1 --- /dev/null +++ b/ipynb/Dollar.ipynb @@ -0,0 +1,52 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Dollar sign: $" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "Slash dollar sign: \\$" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.0" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} From c87a6b6dfa00075d0dddd6d90f2c8fde81d516d8 Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Mon, 9 Apr 2018 10:21:21 -0700 Subject: [PATCH 56/90] Update Dollar.ipynb --- ipynb/Dollar.ipynb | 24 +++++++++--------------- 1 file changed, 9 insertions(+), 15 deletions(-) diff --git a/ipynb/Dollar.ipynb b/ipynb/Dollar.ipynb index 78345d1..83a7e19 100644 --- a/ipynb/Dollar.ipynb +++ b/ipynb/Dollar.ipynb @@ -8,25 +8,19 @@ ] }, { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, - "outputs": [], + "cell_type": "markdown", + "metadata": {}, "source": [ - "Slash dollar sign: \\$" + "Slash Dollar sign: \\" ] }, { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [] - } + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Entity: $" + ] + }, ], "metadata": { "kernelspec": { From e69aa3f8101e30509e907aa38907ecedde5bd94b Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Mon, 9 Apr 2018 10:22:48 -0700 Subject: [PATCH 57/90] Add files via upload --- ipynb/Dollar.ipynb | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/ipynb/Dollar.ipynb b/ipynb/Dollar.ipynb index 83a7e19..5c17e5e 100644 --- a/ipynb/Dollar.ipynb +++ b/ipynb/Dollar.ipynb @@ -4,23 +4,23 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Dollar sign: $" + "Dollar sign: $1,000,000" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Slash Dollar sign: \\" + "Slash dollar sign: \\$1,000,000" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Entity: $" + "Entity: $1,000,000" ] - }, + } ], "metadata": { "kernelspec": { From 3316d2dfb89106c97748d27185214bdb78ed1130 Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Mon, 9 Apr 2018 10:42:57 -0700 Subject: [PATCH 58/90] Delete Dollar.ipynb --- ipynb/Dollar.ipynb | 46 ---------------------------------------------- 1 file changed, 46 deletions(-) delete mode 100644 ipynb/Dollar.ipynb diff --git a/ipynb/Dollar.ipynb b/ipynb/Dollar.ipynb deleted file mode 100644 index 5c17e5e..0000000 --- a/ipynb/Dollar.ipynb +++ /dev/null @@ -1,46 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Dollar sign: $1,000,000" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Slash dollar sign: \\$1,000,000" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Entity: $1,000,000" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.6.0" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} From be742d5a745479daef1eb1545a1536c0010021db Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Mon, 9 Apr 2018 16:16:59 -0700 Subject: [PATCH 59/90] Add files via upload --- ipynb/Beal.ipynb | 306 ++++++++++++++++++++++++++--------------------- 1 file changed, 171 insertions(+), 135 deletions(-) diff --git a/ipynb/Beal.ipynb b/ipynb/Beal.ipynb index 24ac4bd..9453899 100644 --- a/ipynb/Beal.ipynb +++ b/ipynb/Beal.ipynb @@ -29,11 +29,12 @@ ">
and $x, y, z$ are all greater than $2$, \n", ">
then $A, B$ and $C$ must have a common prime factor.\n", "\n", - "[Andrew Wiles](https://en.wikipedia.org/wiki/Andrew_Wiles) proved Fermat's theorem in 1995, but Beal's conjecture remains unproved, and Beal has offered [one million dollars](http://www.ams.org/profession/prizes-awards/ams-supported/beal-prize) for a proof or disproof. I don't have the mathematical skills of Wiles, so I could never find a proof, but I can write a program to search for counterexamples. I first wrote [that program in 2000](http://norvig.com/beal2000.html), and [my name got associated](https://www.google.com/webhp?#q=beal conjecture) with Beal's Conjecture, which means I get a lot of emails with purported proofs or counterexamples (many asking how they can collect their prize money). So far, all the emails have been wrong. This notebook catalogs some of the more common errors, updates my 2000 program, and introduces this tool:\n", + "[Andrew Wiles](https://en.wikipedia.org/wiki/Andrew_Wiles) proved Fermat's theorem in 1995, but Beal's conjecture remains unproved, and Beal has offered [one million dollars](http://www.ams.org/profession/prizes-awards/ams-supported/beal-prize) for a proof or disproof. I don't have the mathematical skills of Wiles, so I could never find a proof, but I can write a program to search for counterexamples. I first wrote [that program in 2000](http://norvig.com/beal2000.html), and [my name got associated](https://www.google.com/webhp?#q=beal conjecture) with Beal's Conjecture, which means I get a lot of emails with purported proofs or counterexamples (many asking how they can collect their prize money). So far, all the emails have been wrong. This notebook catalogs some of the more common errors, updates my 2000 program, and introduces this tool for verifying counterexamples:\n", + " \n", "\n", - "# Online Beal Counterexample Checker\n", + "| [**Online Beal Counterexample Checker**](http://norvig.com/bealcheck.html) |\n", + "|:---:|\n", "\n", - "Got a counterexample? Verify it with my [Beal Counterexample Checker](http://norvig.com/bealcheck.html).\n", "\n", "# How to Not Win A Million Dollars\n", "\n", @@ -69,47 +70,11 @@ "cell_type": "code", "execution_count": 1, "metadata": { - "button": false, - "collapsed": false, - "new_sheet": false, - "run_control": { - "read_only": false - } + "collapsed": true }, - "outputs": [ - { - "data": { - "text/plain": [ - "True" - ] - }, - "execution_count": 1, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ - "from math import gcd #### In Python versions < 3.5, use \"from fractions import gcd\"\n", - "\n", - "A, B, C = 60000000000000000000, 70000000000000000000, 82376613842809255677\n", - "x = y = z = 3.\n", - "\n", - "A ** x + B ** y == C ** z and gcd(gcd(A, B), C) == 1" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "button": false, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "source": [ - "**WOW! The result is `True`!** The two sides of the equation are equal, and the greatest common divisor is 1. Is this a real counterexample to Beal? And also a disproof of Fermat's Last Theorem?\n", - "\n", - "Alas, it is not. The decimal point in \"`x = y = z = 3.`\" indicates a floating point number, with inexact, limited precision. Change the inexact \"`3.`\" to an exact \"`3`\" and the two sides of the equation are no longer equal. Below we see they are the same for the first 18 digits, but differ starting with the 19th: " + "from math import gcd #### In Python versions < 3.5, use \"from fractions import gcd\"" ] }, { @@ -127,8 +92,7 @@ { "data": { "text/plain": [ - "(559000000000000000000000000000000000000000000000000000000000,\n", - " 559000000000000000063037470301555182935702892172500189973733)" + "True" ] }, "execution_count": 2, @@ -136,6 +100,52 @@ "output_type": "execute_result" } ], + "source": [ + "A, B, C = 60000000000000000001, 70000000000000000003, 82376613842809255677\n", + "x = y = z = 3.\n", + "\n", + "A ** x + B ** y == C ** z and gcd(A, B) == gcd(B, C) == 1" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "button": false, + "new_sheet": false, + "run_control": { + "read_only": false + } + }, + "source": [ + "**WOW! The result is `True`!** The two sides of the equation are equal, and the greatest common divisor is 1. Is this a real counterexample to Beal? And also a disproof of Fermat's Last Theorem?\n", + "\n", + "Alas, it is not. The decimal point in \"`x = y = z = 3`**`.`**\" indicates a floating point number, with inexact, limited precision. Change the inexact \"`3.`\" to an exact \"`3`\" and the two sides of the equation are no longer equal. Below we see they are the same for the first 19 digits, but differ starting with the 20th: " + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "button": false, + "collapsed": false, + "new_sheet": false, + "run_control": { + "read_only": false + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(559000000000000000054900000000000000002070000000000000000028,\n", + " 559000000000000000063037470301555182935702892172500189973733)" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "(A ** 3 + B ** 3,\n", " C ** 3)" @@ -151,7 +161,9 @@ } }, "source": [ - "They say \"close\" only counts in horseshoes and hand grenades, and if you threw two horseshoes at a stake on **[Kapteyn-b](https://en.wikipedia.org/wiki/Kapteyn_b)** (an exoplanet 12.8 light years from Earth that is habitable and thus possibly horseshoe-playing) and the two paths differed in the 19th digit, the horseshoes would end up [less than an inch](https://www.google.com/webhp?sourceid=chrome-instant&ion=1&espv=2&ie=UTF-8#q=12.8%20light%20years%20*%201e-19%20in%20inches) apart. That's really, really close, but close doesn't count in number theory.\n", + "They say \"close\" only counts in horseshoes and hand grenades, and if you stood in your yard and threw a horseshoe at a stake on **[Kapteyn-b](https://en.wikipedia.org/wiki/Kapteyn_b)** (an exoplanet 12.8 light years from Earth that is deemed habitable and thus possibly horseshoe-playing) and the flight path differed from the perfect path in the 20th digit, then it would end up \n", + "[about a millimeter](https://www.google.com/search?q=12.8+light+years+%2F+10%5E20+in+inches&oq=12.8+light+years+%2F+10%5E19+in+inches) \n", + "from the target. That's really, really close, but close doesn't count in number theory.\n", "\n", "![Kapteyn-b and Homer Simpson](https://norvig.com/homer.png)\n", "Left: [Kapteyn-b](https://www.space.com/26115-oldest-habitable-alien-planet-kapteyn-b.html).     Right: [Homer Simpson](https://www.youtube.com/watch?time_continue=1&v=ReOQ300AcSU).\n", @@ -160,57 +172,7 @@ "# *The Simpsons* and Fermat\n", "\n", "In two different [episodes of *The Simpsons*](http://www.npr.org/sections/krulwich/2014/05/08/310818693/did-homer-simpson-actually-solve-fermat-s-last-theorem-take-a-look), close counterexamples to Fermat's Last Theorem are shown: \n", - "$3987^{12} + 4365^{12} = 4472^{12}$ and $1782^{12} + 1841^{12} = 1922^{12}$. These were designed by *Simpsons* writer David X. Cohen to be correct up to the precision found in most handheld calculators. Cohen found the equations with a program that must have been something like this:" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "1782**12 + 1841**12 == 1922**12 has relative error of 3e-10\n", - "3987**12 + 4365**12 == 4472**12 has relative error of 2e-11\n" - ] - } - ], - "source": [ - "from itertools import combinations\n", - "\n", - "def Fermat(A, B, n):\n", - " \"Return a tuple of the form (error, A, B, C, n)\"\n", - " C = int(round((A ** n + B ** n) ** (1/n)))\n", - " lhs, rhs = A ** n + B ** n, C ** n\n", - " error = abs(lhs - rhs) / rhs\n", - " return (error, A, B, C, n)\n", - "\n", - "def simpsons(bases, powers):\n", - " \"\"\"Find the Fermat equation that minimizes the error.\"\"\"\n", - " return min(Fermat(A, B, n) \n", - " for A, B in combinations(bases, 2) \n", - " for n in powers)\n", - "\n", - "def show(fermat):\n", - " (error, A, B, C, n) = fermat\n", - " print('{}**{} + {}**{} == {}**{} has relative error of {:.0g}'\n", - " .format(A, n, B, n, C, n, error))\n", - " \n", - "show(simpsons(range(1000, 2000), [12]))\n", - "show(simpsons(range(3000, 5000), [12]))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "These are the same two equations that David X. Cohen found. The sides of the equations are nearly equal, up to 10 or 11 decimal places, respectively.\n", - "\n", - "Can we do better? The following search will take about 8 minutes:" + "$3987^{12} + 4365^{12} = 4472^{12}$ and $1782^{12} + 1841^{12} = 1922^{12}$. These were designed by *Simpsons* writer David X. Cohen to be correct up to the precision of a typical handheld calculator; here we see the two sides of the second equation agree on the first ten digits, `6397665634`, and then differ:" ] }, { @@ -220,17 +182,11 @@ "collapsed": false }, "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "2196**3 + 5984**3 == 6081**3 has relative error of 4e-12\n" - ] - }, { "data": { "text/plain": [ - "(224866629440, 224866629441)" + "(63976656349698612616236230953154487896987106,\n", + " 63976656348486725806862358322168575784124416)" ] }, "execution_count": 4, @@ -239,16 +195,94 @@ } ], "source": [ - "(_, A, B, C, n) = f = simpsons(range(1000, 6000), range(3, 13))\n", - "show(f)\n", - "A ** n + B ** n, C ** n" + "3987 ** 12 + 4365 ** 12, 4472 ** 12" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "This is an equation that differs by just 1 in the 12th and last decmal place." + "Cohen must have found the equations with a program something like this (here `bases` is a sequence of integers to consider for the values of `A` and `B`; the variables `An` and `Bn` hold the `A**n` and `B**n` values; `lhs` is their sum (the left-hand-side of the equation); and the function `Cn` computes the `C**n` that is closest to that sum):" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "from itertools import combinations\n", + "\n", + "def simpsons(bases, n):\n", + " \"\"\"Print the (A**n + B**n = C**n) equation that minimizes the relative error,\n", + " for a given n and A, B values from the sequence of integers `bases`.\"\"\"\n", + " def Cn(lhs): return iroot(sum(lhs), n) ** n\n", + " def err(lhs): return abs(sum(lhs) - Cn(lhs)) / sum(lhs)\n", + " def show(Xn): return '{} ** {}'.format(iroot(Xn, n), n)\n", + " powers = [b ** n for b in bases]\n", + " (An, Bn) = lhs = min(combinations(powers, 2), key=err)\n", + " print('{} + {} == {} (with error {:.0g})'\n", + " .format(show(An), show(Bn), show(Cn(lhs)), err(lhs)))\n", + "\n", + "def iroot(x, n): \"integer nth root\"; return int(round(x ** (1 / n)))" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1782 ** 12 + 1841 ** 12 == 1922 ** 12 (with error 3e-10)\n", + "3987 ** 12 + 4365 ** 12 == 4472 ** 12 (with error 2e-11)\n" + ] + } + ], + "source": [ + "simpsons(range(1000, 2000), 12)\n", + "simpsons(range(2000, 5000), 12)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "These are the same two equations that David X. Cohen found. \n", + "\n", + "Can we find other near-misses? I'll try each single-digit exponent. I want A, B, C to be 4 digits each, so I'll limit A and B to 9500 (not 9999), to try to keep C from overflowing to 5 digits. (This takes around 10 minutes to run.)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "5856 ** 3 + 9036 ** 3 == 9791 ** 3 (with error 1e-12)\n", + "2396 ** 4 + 4551 ** 4 == 4636 ** 4 (with error 4e-11)\n", + "3993 ** 5 + 7767 ** 5 == 7822 ** 5 (with error 2e-11)\n", + "6107 ** 6 + 8919 ** 6 == 9066 ** 6 (with error 8e-13)\n", + "5592 ** 7 + 9079 ** 7 == 9122 ** 7 (with error 2e-11)\n", + "4749 ** 8 + 8952 ** 8 == 8959 ** 8 (with error 3e-11)\n", + "5433 ** 9 + 6725 ** 9 == 6828 ** 9 (with error 4e-11)\n" + ] + } + ], + "source": [ + "for n in range(3, 10):\n", + " simpsons(range(1000, 9500), n)" ] }, { @@ -261,13 +295,15 @@ } }, "source": [ + "The equation for *n*=6 has the smallest error yet (in the 12th decimal place).\n", + "\n", "# Back to `beal`\n", "\n", "In October 2015 I looked back at my original [program from 2000](http://norvig.com/beal2000.html).\n", "I ported it from Python 1.5 to 3.5 (`print` is now a function, `long` is `int`). It runs 250 times faster today, a tribute to both computer hardware engineers and the developers of the Python interpreter.\n", "\n", "I found that I had [misstated the problem](https://web.archive.org/web/19991127081319/http://bealconjecture.com/) in 2000. I thought that, *by definition*, $A$ and $B$ could not have a common factor, but actually, \n", - "the conjecture only rules out examples where all three of $A, B, C$ share a common factor. But, as [Mark Tiefenbruck](mailto:mark @tiefenbruck.org) (as well as Edward P. Berlin and Shen Lixing) pointed out, my statement is correct, not by definition, but *by derivation:* if $A$ and $B$ have a commmon prime factor $p$, then the sum of $A^x + B^y$ must also have that factor $p$, and hence $C^z$, and $C$, must have the factor $p$.\n", + "the conjecture only rules out examples where all three of $A, B, C$ share a common factor. But, as [Mark Tiefenbruck](mailto:mark @tiefenbruck.org) (as well as Edward P. Berlin and Shen Lixing) pointed out, my statement is correct, not by definition, but *by derivation:* if $A$ and $B$ have a common prime factor $p$, then the sum of $A^x + B^y$ must also have that factor $p$, and hence $C^z$, and $C$, must have the factor $p$.\n", "\n", "Mark Tiefenbruck also suggested another optimization: only consider exponents that are odd primes, or 4. The idea is that a number like 512 can be expressed as either $2^9$ or $8^3$, and my program doesn't need to consider both. In general, any time we have a composite exponent, such as $b^{qp}$, where $p$ is prime, we should ignore $A=b, x=qp$, and instead consider only $A=b^q, x=p$. There's one complication to this scheme: 2 is a prime, but 2 is not a valid exponent for a Beal counterexample. So we will allow 4 as an exponent, as well as all odd primes up to `max_x`.\n", "\n", @@ -276,7 +312,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 8, "metadata": { "button": false, "collapsed": true, @@ -342,7 +378,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 9, "metadata": { "button": false, "collapsed": false, @@ -356,7 +392,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 354 ms, sys: 4.32 ms, total: 358 ms\n", + "CPU times: user 353 ms, sys: 4.84 ms, total: 358 ms\n", "Wall time: 376 ms\n" ] } @@ -380,7 +416,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 10, "metadata": { "button": false, "collapsed": false, @@ -394,8 +430,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 11.1 s, sys: 152 ms, total: 11.3 s\n", - "Wall time: 12.3 s\n" + "CPU times: user 8.97 s, sys: 56.6 ms, total: 9.03 s\n", + "Wall time: 9.12 s\n" ] } ], @@ -425,7 +461,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 11, "metadata": { "button": false, "collapsed": false, @@ -446,7 +482,7 @@ " 6: [216, 1296, 7776, 279936]}" ] }, - "execution_count": 8, + "execution_count": 11, "metadata": {}, "output_type": "execute_result" } @@ -471,7 +507,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 12, "metadata": { "button": false, "collapsed": false, @@ -507,7 +543,7 @@ " 279936: 6}" ] }, - "execution_count": 9, + "execution_count": 12, "metadata": {}, "output_type": "execute_result" } @@ -519,7 +555,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 13, "metadata": { "collapsed": false }, @@ -530,7 +566,7 @@ "3" ] }, - "execution_count": 10, + "execution_count": 13, "metadata": {}, "output_type": "execute_result" } @@ -559,7 +595,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 14, "metadata": { "button": false, "collapsed": false, @@ -608,7 +644,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 15, "metadata": { "button": false, "collapsed": false, @@ -624,7 +660,7 @@ "{True}" ] }, - "execution_count": 12, + "execution_count": 15, "metadata": {}, "output_type": "execute_result" } @@ -658,7 +694,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 16, "metadata": { "button": false, "collapsed": true, @@ -689,7 +725,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 17, "metadata": { "button": false, "collapsed": false, @@ -705,7 +741,7 @@ "'tests pass'" ] }, - "execution_count": 14, + "execution_count": 17, "metadata": {}, "output_type": "execute_result" } @@ -810,7 +846,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 18, "metadata": { "button": false, "collapsed": true, @@ -875,7 +911,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 19, "metadata": { "collapsed": false }, @@ -891,7 +927,7 @@ " 6: [(216, 3), (296, 4), (776, 5), (936, 7)]}" ] }, - "execution_count": 16, + "execution_count": 19, "metadata": {}, "output_type": "execute_result" } @@ -917,7 +953,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 20, "metadata": { "button": false, "collapsed": false, @@ -952,7 +988,7 @@ " 936: [(6, 7)]})" ] }, - "execution_count": 17, + "execution_count": 20, "metadata": {}, "output_type": "execute_result" } @@ -976,7 +1012,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 21, "metadata": { "button": false, "collapsed": false, @@ -990,8 +1026,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 55.9 s, sys: 530 ms, total: 56.4 s\n", - "Wall time: 59.6 s\n" + "CPU times: user 56 s, sys: 436 ms, total: 56.4 s\n", + "Wall time: 59.2 s\n" ] } ], From 3cfb4f15d02bfc9abbaea1739842cc5f7ab574ca Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Tue, 10 Apr 2018 13:01:36 -0700 Subject: [PATCH 60/90] Add files via upload --- py/ngrams.py | 258 +++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 258 insertions(+) create mode 100644 py/ngrams.py diff --git a/py/ngrams.py b/py/ngrams.py new file mode 100644 index 0000000..6f03378 --- /dev/null +++ b/py/ngrams.py @@ -0,0 +1,258 @@ +""" +Code to accompany the chapter "Natural Language Corpus Data" +from the book "Beautiful Data" (Segaran and Hammerbacher, 2009) +http://oreilly.com/catalog/9780596157111/ + +Code copyright (c) 2008-2009 by Peter Norvig + +You are free to use this code under the MIT licencse: +http://www.opensource.org/licenses/mit-license.php +""" + +import re, string, random, glob, operator, heapq +from collections import defaultdict +from math import log10 + +def memo(f): + "Memoize function f." + table = {} + def fmemo(*args): + if args not in table: + table[args] = f(*args) + return table[args] + fmemo.memo = table + return fmemo + +def test(verbose=None): + """Run some tests, taken from the chapter. + Since the hillclimbing algorithm is randomized, some tests may fail.""" + import doctest + print 'Running tests...' + doctest.testfile('ngrams-test.txt', verbose=verbose) + +################ Word Segmentation (p. 223) + +@memo +def segment(text): + "Return a list of words that is the best segmentation of text." + if not text: return [] + candidates = ([first]+segment(rem) for first,rem in splits(text)) + return max(candidates, key=Pwords) + +def splits(text, L=20): + "Return a list of all possible (first, rem) pairs, len(first)<=L." + return [(text[:i+1], text[i+1:]) + for i in range(min(len(text), L))] + +def Pwords(words): + "The Naive Bayes probability of a sequence of words." + return product(Pw(w) for w in words) + +#### Support functions (p. 224) + +def product(nums): + "Return the product of a sequence of numbers." + return reduce(operator.mul, nums, 1) + +class Pdist(dict): + "A probability distribution estimated from counts in datafile." + def __init__(self, data=[], N=None, missingfn=None): + for key,count in data: + self[key] = self.get(key, 0) + int(count) + self.N = float(N or sum(self.itervalues())) + self.missingfn = missingfn or (lambda k, N: 1./N) + def __call__(self, key): + if key in self: return self[key]/self.N + else: return self.missingfn(key, self.N) + +def datafile(name, sep='\t'): + "Read key,value pairs from file." + for line in file(name): + yield line.split(sep) + +def avoid_long_words(key, N): + "Estimate the probability of an unknown word." + return 10./(N * 10**len(key)) + +N = 1024908267229 ## Number of tokens + +Pw = Pdist(datafile('count_1w.txt'), N, avoid_long_words) + +#### segment2: second version, with bigram counts, (p. 226-227) + +def cPw(word, prev): + "Conditional probability of word, given previous word." + try: + return P2w[prev + ' ' + word]/float(Pw[prev]) + except KeyError: + return Pw(word) + +P2w = Pdist(datafile('count_2w.txt'), N) + +@memo +def segment2(text, prev=''): + "Return (log P(words), words), where words is the best segmentation." + if not text: return 0.0, [] + candidates = [combine(log10(cPw(first, prev)), first, segment2(rem, first)) + for first,rem in splits(text)] + return max(candidates) + +def combine(Pfirst, first, (Prem, rem)): + "Combine first and rem results into one (probability, words) pair." + return Pfirst+Prem, [first]+rem + +################ Secret Codes (p. 228-230) + +def encode(msg, key): + "Encode a message with a substitution cipher." + return msg.translate(string.maketrans(ul(alphabet), ul(key))) + +def ul(text): return text.upper() + text.lower() + +alphabet = 'abcdefghijklmnopqrstuvwxyz' + +def shift(msg, n=13): + "Encode a message with a shift (Caesar) cipher." + return encode(msg, alphabet[n:]+alphabet[:n]) + +def logPwords(words): + "The Naive Bayes probability of a string or sequence of words." + if isinstance(words, str): words = allwords(words) + return sum(log10(Pw(w)) for w in words) + +def allwords(text): + "Return a list of alphabetic words in text, lowercase." + return re.findall('[a-z]+', text.lower()) + +def decode_shift(msg): + "Find the best decoding of a message encoded with a shift cipher." + candidates = [shift(msg, n) for n in range(len(alphabet))] + return max(candidates, key=logPwords) + +def shift2(msg, n=13): + "Encode with a shift (Caesar) cipher, yielding only letters [a-z]." + return shift(just_letters(msg), n) + +def just_letters(text): + "Lowercase text and remove all characters except [a-z]." + return re.sub('[^a-z]', '', text.lower()) + +def decode_shift2(msg): + "Decode a message encoded with a shift cipher, with no spaces." + candidates = [segment2(shift(msg, n)) for n in range(len(alphabet))] + p, words = max(candidates) + return ' '.join(words) + +#### General substitution cipher (p. 231-233) + +def logP3letters(text): + "The log-probability of text using a letter 3-gram model." + return sum(log10(P3l(g)) for g in ngrams(text, 3)) + +def ngrams(seq, n): + "List all the (overlapping) ngrams in a sequence." + return [seq[i:i+n] for i in range(1+len(seq)-n)] + +P3l = Pdist(datafile('count_3l.txt')) +P2l = Pdist(datafile('count_2l.txt')) ## We'll need it later + +def hillclimb(x, f, neighbors, steps=10000): + "Search for an x that miximizes f(x), considering neighbors(x)." + fx = f(x) + neighborhood = iter(neighbors(x)) + for i in range(steps): + x2 = neighborhood.next() + fx2 = f(x2) + if fx2 > fx: + x, fx = x2, fx2 + neighborhood = iter(neighbors(x)) + if debugging: print 'hillclimb:', x, int(fx) + return x + +debugging = False + +def decode_subst(msg, steps=4000, restarts=90): + "Decode a substitution cipher with random restart hillclimbing." + msg = cat(allwords(msg)) + candidates = [hillclimb(encode(msg, key=cat(shuffled(alphabet))), + logP3letters, neighboring_msgs, steps) + for _ in range(restarts)] + p, words = max(segment2(c) for c in candidates) + return ' '.join(words) + +def shuffled(seq): + "Return a randomly shuffled copy of the input sequence." + seq = list(seq) + random.shuffle(seq) + return seq + +cat = ''.join + +def neighboring_msgs(msg): + "Generate nearby keys, hopefully better ones." + def swap(a,b): return msg.translate(string.maketrans(a+b, b+a)) + for bigram in heapq.nsmallest(20, set(ngrams(msg, 2)), P2l): + b1,b2 = bigram + for c in alphabet: + if b1==b2: + if P2l(c+c) > P2l(bigram): yield swap(c,b1) + else: + if P2l(c+b2) > P2l(bigram): yield swap(c,b1) + if P2l(b1+c) > P2l(bigram): yield swap(c,b2) + while True: + yield swap(random.choice(alphabet), random.choice(alphabet)) + +################ Spelling Correction (p. 236-) + +def corrections(text): + "Spell-correct all words in text." + return re.sub('[a-zA-Z]+', lambda m: correct(m.group(0)), text) + +def correct(w): + "Return the word that is the most likely spell correction of w." + candidates = edits(w).items() + c, edit = max(candidates, key=lambda (c,e): Pedit(e) * Pw(c)) + return c + +def Pedit(edit): + "The probability of an edit; can be '' or 'a|b' or 'a|b+c|d'." + if edit == '': return (1. - p_spell_error) + return p_spell_error*product(P1edit(e) for e in edit.split('+')) + +p_spell_error = 1./20. + +P1edit = Pdist(datafile('count_1edit.txt')) ## Probabilities of single edits + +def edits(word, d=2): + "Return a dict of {correct: edit} pairs within d edits of word." + results = {} + def editsR(hd, tl, d, edits): + def ed(L,R): return edits+[R+'|'+L] + C = hd+tl + if C in Pw: + e = '+'.join(edits) + if C not in results: results[C] = e + else: results[C] = max(results[C], e, key=Pedit) + if d <= 0: return + extensions = [hd+c for c in alphabet if hd+c in PREFIXES] + p = (hd[-1] if hd else '<') ## previous character + ## Insertion + for h in extensions: + editsR(h, tl, d-1, ed(p+h[-1], p)) + if not tl: return + ## Deletion + editsR(hd, tl[1:], d-1, ed(p, p+tl[0])) + for h in extensions: + if h[-1] == tl[0]: ## Match + editsR(h, tl[1:], d, edits) + else: ## Replacement + editsR(h, tl[1:], d-1, ed(h[-1], tl[0])) + ## Transpose + if len(tl)>=2 and tl[0]!=tl[1] and hd+tl[1] in PREFIXES: + editsR(hd+tl[1], tl[0]+tl[2:], d-1, + ed(tl[1]+tl[0], tl[0:2])) + ## Body of edits: + editsR('', word, d, []) + return results + +PREFIXES = set(w[:i] for w in Pw for i in range(len(w) + 1)) From 498432601e155826a3c52db99d8ff2bee7dca5a3 Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Tue, 10 Apr 2018 13:02:01 -0700 Subject: [PATCH 61/90] Delete latlongx.htm --- data/latlongx.htm | 80 ----------------------------------------------- 1 file changed, 80 deletions(-) delete mode 100644 data/latlongx.htm diff --git a/data/latlongx.htm b/data/latlongx.htm deleted file mode 100644 index 2ddadde..0000000 --- a/data/latlongx.htm +++ /dev/null @@ -1,80 +0,0 @@ -[TCL] 33.23 87.62 Tuscaloosa,AL -[FLG] 35.13 111.67 Flagstaff,AZ -[PHX] 33.43 112.02 Phoenix,AZ -[PGA] 36.93 111.45 Page,AZ -[TUS] 32.12 110.93 Tucson,AZ -[LIT] 35.22 92.38 Little Rock,AR -[SFO] 37.62 122.38 San Francisco,CA -[LAX] 33.93 118.40 Los Angeles,CA -[SAC] 38.52 121.50 Sacramento,CA -[SAN] 32.73 117.17 San Diego,CA -[SBP] 35.23 120.65 San Luis Obi,CA -[EKA] 41.33 124.28 Eureka,CA -[DEN] 39.75 104.87 Denver,CO -[DCA] 38.85 77.04 Washington/Natl,DC -[MIA] 25.82 80.28 Miami Intl,FL -[TPA] 27.97 82.53 Tampa Intl,FL -[JAX] 30.50 81.70 Jacksonville,FL -[TLH] 30.38 84.37 Tallahassee,FL -[ATL] 33.65 84.42 Atlanta,GA -[BOI] 43.57 116.22 Boise,ID -[CHI] 41.90 87.65 Chicago,IL -[IND] 39.73 86.27 Indianapolis,IN -[DSM] 41.53 93.65 Des Moines,IA -[SUX] 42.40 96.38 Sioux City,IA -[ICT] 37.65 97.43 Wichita,KS -[LEX] 38.05 85.00 Lexington,KY -[NEW] 30.03 90.03 New Orleans,LA -[BOS] 42.37 71.03 Boston,MA -[PWM] 43.65 70.32 Portland,ME -[BGR] 44.80 68.82 Bangor,ME -[CAR] 46.87 68.02 Caribou Mun,ME -[DET] 42.42 83.02 Detroit,MI -[STC] 45.55 94.07 St Cloud,MN -[DLH] 46.83 92.18 Duluth,MN -[STL] 38.75 90.37 St Louis,MO -[JAN] 32.32 90.08 Jackson,MS -[BIL] 45.80 108.53 Billings,MT -[BTM] 45.95 112.50 Butte,MT -[RDU] 35.87 78.78 Raleigh-Durh,NC -[INT] 36.13 80.23 Winston-Salem,NC -[OMA] 41.30 95.90 Omaha/Eppley,NE -[LAS] 36.08 115.17 Las Vegas,NV -[RNO] 39.50 119.78 Reno,NV -[AWH] 41.33 116.25 Wildhorse,NV -[EWR] 40.70 74.17 Newark Intl,NJ -[SAF] 35.62 106.08 Santa Fe,NM -[NYC] 40.77 73.98 New York,NY -[BUF] 42.93 78.73 Buffalo,NY -[ALB] 42.75 73.80 Albany,NY -[FAR] 46.90 96.80 Fargo,ND -[BIS] 46.77 100.75 Bismarck,ND -[CVG] 39.05 84.67 Cincinnati,OH -[CLE] 41.42 81.87 Cleveland,OH -[OKC] 35.40 97.60 Oklahoma Cty,OK -[PDX] 45.60 122.60 Portland,OR -[MFR] 42.37 122.87 Medford,OR -[AGC] 40.35 79.93 Pittsburgh,PA -[PVD] 41.73 71.43 Providence,RI -[CHS] 32.90 80.03 Charleston,SC -[RAP] 44.05 103.07 Rapid City,SD -[FSD] 43.58 96.73 Sioux Falls,SD -[MEM] 35.05 90.00 Memphis Intl,TN -[TYS] 35.82 83.98 Knoxville,TN -[CRP] 27.77 97.50 Corpus Chrst,TX -[DRT] 29.37 100.92 Del Rio,TX -[IAH] 29.97 95.35 Houston,TX -[SAT] 29.53 98.47 San Antonio,TX -[LGU] 41.78 111.85 Logan,UT -[SLC] 40.78 111.97 Salt Lake Ct,UT -[SGU] 37.08 113.60 Saint George,UT -[CNY] 38.77 109.75 Moab,UT -[MPV] 44.20 72.57 Montpelier,VT -[RIC] 37.50 77.33 Richmond,VA -[BLI] 48.80 122.53 Bellingham,WA -[SEA] 47.45 122.30 Seattle,WA -[ALW] 46.10 118.28 Walla Walla,WA -[GRB] 44.48 88.13 Green Bay,WI -[MKE] 42.95 87.90 Milwaukee,WI -[CYS] 41.15 104.82 Cheyenne,WY -[SHR] 44.77 106.97 Sheridan,WY From bd373c8d085645be8ebe112328c2a580768c3c98 Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Tue, 10 Apr 2018 13:02:43 -0700 Subject: [PATCH 62/90] Create README.md --- data/ngrams/README.md | 1 + 1 file changed, 1 insertion(+) create mode 100644 data/ngrams/README.md diff --git a/data/ngrams/README.md b/data/ngrams/README.md new file mode 100644 index 0000000..8b13789 --- /dev/null +++ b/data/ngrams/README.md @@ -0,0 +1 @@ + From 5e4eb3524e6fdbac7cd70e193cf553d3c7603f10 Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Wed, 11 Apr 2018 01:12:03 -0700 Subject: [PATCH 63/90] Add files via upload --- ipynb/TSP.ipynb | 1227 ++++++++++++++++++----------------------------- 1 file changed, 466 insertions(+), 761 deletions(-) diff --git a/ipynb/TSP.ipynb b/ipynb/TSP.ipynb index c71b39b..c37cff5 100644 --- a/ipynb/TSP.ipynb +++ b/ipynb/TSP.ipynb @@ -56,7 +56,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# All Tours Algorithm: `alltours_tsp`" + "# Exhaustive Search Algorithm: `exhaustive_tsp`" ] }, { @@ -65,7 +65,7 @@ "source": [ "Let's start with an algorithm that is *guaranteed* to solve the problem, although inefficiently:\n", "\n", - "> **All Tours Algorithm**: *Generate all possible tours of the cities, and choose the shortest tour (the one with minimum tour length).*\n", + "> **Exhaustive Search Algorithm**: *Generate all possible tours of the cities, and choose the shortest tour (the one with minimum tour length).*\n", "\n", "My design philosophy is to first write an English description of the algorithm (as above), then write Python code that closely mirrors the English description. This will probably require some auxilliary functions and data structures; just assume they exist; put them on a TO DO list, and eventually define them with the same design philosophy:" ] @@ -76,7 +76,7 @@ "metadata": {}, "outputs": [], "source": [ - "def alltours_tsp(cities):\n", + "def exhaustive_tsp(cities):\n", " \"Generate all possible tours of the cities and choose the shortest tour.\"\n", " return shortest_tour(alltours(cities))\n", "\n", @@ -93,7 +93,7 @@ "\n", "**Cities:** the only thing we need to know about a city is its distance to other cities. We don't need to know the city's name, population, best restaurants, or anything else. We'll assume the distance between two cities is the [Euclidean distance](http://en.wikipedia.org/wiki/Euclidean_distance), the straight-line distance between points in a two-dimensional plane. So I want `City(300, 100)` to be the city with x-coordinate 300 and y coordinate 100. At first glance it seems like Python does not have a builtin type for a point in the two-dimensional plane, but actually there is one: complex numbers. I'll implement `City` with `complex`, which means the distance between two cities, `distance(A, B)`, is the absolute value of the vector difference between them. \n", "\n", - "I'll also define `Cities(n)` to make a set of `n` cities. I want `Cities` to be reproducible (to return the same result when called with the same arguments), so I provide a keyword argument that sets `random.seed`. " + "I'll also define `Cities(n)` to make a set of `n` random cities. I want `Cities` to be reproducible (to return the same result when called with the same arguments), so I provide a keyword argument that sets `random.seed`. " ] }, { @@ -143,7 +143,7 @@ "source": [ "# A solution!\n", "\n", - "Now we're ready: `alltours_tsp` can find a tour for a set of cities:" + "Now we're ready: `exhaustive_tsp` can find a tour for a set of cities:" ] }, { @@ -171,7 +171,7 @@ } ], "source": [ - "alltours_tsp(Cities(9))" + "exhaustive_tsp(Cities(9))" ] }, { @@ -215,7 +215,7 @@ "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -223,7 +223,7 @@ } ], "source": [ - "plot_tour(alltours_tsp(Cities(9)))" + "plot_tour(exhaustive_tsp(Cities(9)))" ] }, { @@ -265,14 +265,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "alltours: 9 cities ⇒ tour length 2450 (in 1.001 sec)\n" + "exhaustive: 9 cities ⇒ tour length 2450 (in 1.229 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -280,7 +280,7 @@ } ], "source": [ - "do(alltours_tsp, Cities(9))" + "do(exhaustive_tsp, Cities(9))" ] }, { @@ -321,7 +321,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "But this is redundant: `(1, 2, 3)`, `(2, 3, 1)`, and `(3, 1, 2)` are three ways of describing the same tour. So let's arbitrarily say that all tours must start with the first city in the set of cities. While we're redefining `alltours`, we'll take the opportunity to define a tour as a *list* rather than a *tuple*. It doesn't matter now, but I anticipate wanting to represent *partial* tours, to which we will append cities one by one; appending can be done to lists, but not tuples." + "But this is redundant: `(1, 2, 3)`, `(2, 3, 1)`, and `(3, 1, 2)` are three ways of describing the same tour. So let's arbitrarily say that a tour must start with the first city in the set of cities. While we're redefining `alltours`, we'll take the opportunity to define a tour as a *list* rather than a *tuple*. It doesn't matter now, but I anticipate wanting to represent *partial* tours, to which we will append cities one by one; appending can be done to lists, but not tuples." ] }, { @@ -342,7 +342,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "We can verify that for 3 cities there are now only 2 tours, and that `alltours_tsp` can now do 10 cities in about the time it took to do 9 before:" + "We can verify that for 3 cities there are now only 2 tours, and that `exhaustive_tsp` can now do 10 cities in about the time it took to do 9 before:" ] }, { @@ -374,14 +374,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "alltours: 10 cities ⇒ tour length 2720 (in 1.479 sec)\n" + "exhaustive: 10 cities ⇒ tour length 2720 (in 1.553 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -389,24 +389,24 @@ } ], "source": [ - "do(alltours_tsp, Cities(10))" + "do(exhaustive_tsp, Cities(10))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "## Computational Complexity and General Strategies\n", + "# General Strategies\n", "\n", - "It takes 1 or 2 seconds to solve a 10-city problem. Since `alltours` looks at all permutations, an 11-city problem would take about 11 times longer, and a 15-city problem would take days.\n", + "It takes Exhaustive Search 1 or 2 seconds to solve a 10-city problem. Since it looks at all permutations, an 11-city problem would take about 11 times longer, and a 15-city problem would take days.\n", "There must be a better way ... \n", "\n", "To get inspired, here are some general strategies for algorithm design: \n", "\n", - "* **Brute Force Strategy**: That's what we used for `alltours_tsp`; as [Ken Thompson](https://en.wikipedia.org/wiki/Ken_Thompson) [says](https://www.brainyquote.com/quotes/ken_thompson_185574?src=t_brute_force), *\"when in doubt, use brute force.\"*\n", + "* **Brute Force Strategy**: The strategy used for `exhaustive_tsp`; as [Ken Thompson](https://en.wikipedia.org/wiki/Ken_Thompson) [says](https://www.brainyquote.com/quotes/ken_thompson_185574?src=t_brute_force), *\"when in doubt, use brute force.\"*\n", "* **Approximation Strategy**: If it is too hard to find a precise, optimal solution, consider finding an approximate, suboptimal solution.\n", "* **Greeedy Strategy**: To complete a multiple step problem, first do the step that has the best gain. Repeat. \n", - "* **Improvement Strategy**: Use an existing algorithm to create a solution, then have another algorithm improve the solution.\n", + "* **Iterative Improvement Strategy**: Use an existing algorithm to create a solution, then have another algorithm improve the solution.\n", "* **Ensemble Strategy**: Apply a set of algorithms to the problem, and pick the best solution. \n", "* **Divide and Conquer Strategy**: Split the problem in half, solve each half, and combine the two partial solutions.\n", "* **Stand on the Shoulders of Giants Strategy**: Find out what other people have done, and copy (or modify).\n", @@ -462,7 +462,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "While `alltours_tsp` was limited to about a dozen cities, this algorithm can do hundreds or even thousands of cities in less than a second:" + "While `exhaustive_tsp` was limited to about a dozen cities, this algorithm can do thousands of cities in less than a second:" ] }, { @@ -474,41 +474,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "nn: 200 cities ⇒ tour length 11477 (in 0.006 sec)\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "do(nn_tsp, Cities(200))" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "nn: 1998 cities ⇒ tour length 33688 (in 0.507 sec)\n" + "nn: 1998 cities ⇒ tour length 33688 (in 0.539 sec)\n" ] }, { "data": { "image/png": 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Z5ssxIC8m+w6vTHj+kzLqH/62x+du8gm5Q4X+0nVBBBM9gl4OsmPy/PzX6RpwWajIvX4zegR/LiFOwbx2Al2j8jzX+JjqDojG+b858dFSwZHB3h34xPAekH4hZK4p6q9+acD7t/evLm7axVR2QrMRfYS6hBh3G4ywmTAFTRqwkyvHeyctxw3tyl/0Br8H079Xp0457Wznl5yn9O/8ZQ492f9j8rSbOyGstNNGkAdAeifw3K2gZqkmQCqv0HkbQENXq8FULt5q0LuVwlNt99yaUoZjUjIIcjLIs2baYcaFO8sL3cS8FeR1kB2S4cmIz2H2VJDm5un3fN8X8MHbIIeZeYdv5sglQXQoA310PyVi1NAQlrPR8JjPUIPxZHySYCQuU1m81LxgyQgSSqpQr9B0nQwjP9cjzCALgBwJMqUM3Y7rqhJIMNHA6wkJ83InkEVwf1+fk5T90FOw6SBtg/GvcNCf+xnM/wzkTpBflKBlF5CP47XHb0JoM7HgXQNA7grIo01QF4q/hzFMkt5pdum6EI2puApDu2wm2uIqOvu7/x6G+vZXdAayLC93oVgC0jprWpJpX5R0vf4yh6YKH5k83SYTFP3r9EpIuZ2/83vMA+Zd3uVakFv9ZaAwfXlwo5KieKtza9JR9Eq7BqLeDI+pXJqNLwzorfI7kHFm23vaM3DBp94u3JWfXtqVlXFoJsw9zclAXb/u2grNLLpElXpz7qNpnHT5y1WbiSlt+g4ECRibdcwDMHiOJmapWYW6ZR4F0igtt91MhNh4I5AbScClLWYQbUeQR8vfF2qhaIK6th2dEB83RbNilTxNcSehHuhx8S2UcOXzb1+HBwPQsz3Iimj9Vjd4Wk+EMxcW75p1qs1fbMa2g+ovyrk5uG2/Az1GDuVDneROM1oT4wOQJ0B2T0I+4rTFlZWfuP9uhCYEODtpOhvyBTII3ajIPOFIJVz+Mtf7FZAnQU5LeuHU0xMvGk54JEL/PgIvVKeduCOfhsTLQuzlbubsUPzeHgUK+Nkr4Z3HYeyGqAZQGqd5AY2XX6On7YnsipePV5WpIB3MvlMOAnkzyPsr+UJPL5aAHJbEfAFyBMxbqJvEScedJbUpcFqOl1BVC9WXqkVdRKuL9CdD/dICTRbku6nqPfb61sK034HM0BNuc3wvSW/WgmyI6S+BHGX+udEnYpC+IP8qf1+4xUuNsrnzNP2r6cBeuQnkoaDKGuq69kdKuPLFGfSov+v6cG3w4me7tfUDv85/vr4fw/QBeqLjG9genrZzlsXbkZKWIBPR3bRTTI+B0m0JPkmhWdSa5Pz/567c/Dgtmhva5RqZM0FOz5qWSri8x0//hVobTwSm/9svW5Sh/ugGNSthwOL8dwxarp/LedBstyDKGMjerqIQeh4xy9NEN3QcNNj7vOLv/HazO78Bxz4Ufd3183QwWffLi2d1ddI6P69lL+Z9Umgwptenshnqzril4eeWTJPdkC6QE73HsqlECO3vMzmusnTx9d7o6GHceHL7ZQ4lvC3KbKBVw5jFafEpUaancbkT9KokJqromXKqWkDf12HEx0GMmzC7OHrv8PWmBzzqtvYeETKaUMKVL6YB2gjku6DGnP/7/LJ71dWICUYjmuRjLjGSZuT39fEPw7wlIN0i8Hxz1EVgpU4asplp+S/z/o10l+eERwLU+9kczajlFHx+DQm7oTb0C6Q9GheYeYBsJVwlErMIXLQqiYXTXWOuQE/9D/DenZXd4L3/ahxCoE2YmzHoVhW9bcntaKNFOd/Ho/aWfxzFKUvinobl90/7+2DObJBqM/ySlnDeinyaa6U4813/j7NLUiHtQF5P4Lk7gXyStcyaa4/fKbKJjQOz4yrLRChpGm5oYrULw/N11CKQ36ornzm+l7oa0/CxA/AdsMz8oxcvgvVAk5zP1gNLFvn9wnGatoCOz8LfWunv1veEwYc6TtMOImtqvX7jft4rGE37jYert6inqQlwYyuoGR/8GYU00wb4LXCECGvC/l6EWY7DUcCZwAOOw3+g/9/g/THQtBUM+w6u38jlBzC4BmZVB3jut47D18CmwJfBqGnWPL+/ADamdD96/aYJsGPzuv85DqcCl6M8Wh6MlmIU9rXj8DNgkuOwWoSnvX6jMrXfeKVz8SK46EXoeCnwBnCACB9FpScG2sBuK0Se6hjg3q2BT0WQgs+vBN5xHI73a/sPHSJMdhxeB84HfpM1PVnDa650HJoAX8Lct6DJUfm/yB/HYeE4bA7cBrQADhFhCTpFFs21jnN2DTxzaKm5Wcdym2uhbUeY9rDjvNHCb11IB6tWhF3jgsBx2BT4MzBchA3Fd6zF+73rEFlT6zhNOyjfdmyutMyqDsonjzl2R2Cq4/CpCH+L0Z7zgdHw2cewftt62m9Hp7Lcfr/uJ/Be5DU5Jo4Apibw3HXAlgk8NyNsvFm5dT86wuuOpRB3TMRDef3IIJ4BRgDXeH+9xIevrz4vwqWOM3MXWL+H6fnME1lY/IYt1cQy7UWx9pO20v0t7+qv0Uwyd6P+1r3ROgvblTq5QYNtPwLpaML/F6SpZuXLzdY3WzQ98anTwj4X5FOQrYPf7+dS4Z/dq1yfgRyKZojzTW4RU4YPQ13YirLmeMvgqA1wd48kaAlB8zUg4wPeuy/IbJ/vTkBdDo27L6UVOJoCr1ugcSM7Z01LJV6oC9wcE3Nvvsx0eBA+mIkmtil7sus/N1/4Gcgf4NFB0HdBpQTagzgaY2Q+RgBNXPOY//etJ2rsaWEsauuJcd5bgp6WIAtBekb47THuCdqjOhYL5+TSng0Z9OsTIF0SeG5jkG9K6RMN6UrWZTV599Hs+TR6IVrw2Fj9UdUfZa2fPgAv/6HU6X6aJ3SZd4wBZieWaa++M85bAmfNCOaCl3RGNd9CZve7Sn5vkCtB7kIrfH+KpnX0Mqyaoe52vzEpdGbT+coi3PoFwfvLsx3t/FwjS7UdZA+QxSAnJyzHx6MxED9LipcGaXVQ98UDA95/BMi0Et/fDXK1WRorq96LAZ7/Guvi6Meb40CeNePuVfj7wSuC/95vrHaeBFKtykbljGW0kOk7cOheZrPBSTPX2N+jNK+TD0IvoGtfNFFAoNhQtx13oW6zpxbT/z+eza+EflWaDrtTN1LNZ010efJlkI2EhnAlnywlV0aOvBfmfkgDjF/15lPvGnj2QrREwAKQizEUv4wmWjne4/NjVB8c0aZ0spR0kplk3jEGGJ1Ipr2Cd3wIsluwe5M+eQqdYMJBT5+8DKs6Gt+EEQvMGTwm0/lKDSGzxymPjpsIl34RPA1yVQvo+TKMWpwTx/Bj9/0DU5LlM9CsdK2S4KVBOvd3FYqgiUVOpeQutOyInrztb47GyjM6Y/K8CcjHIIdnTUulXWj2rNv031Ut4OLPtARE2FPueDJTbm6upLEMsrtr4BgbcznPvgPkd8H4NWYR9HsrrZNhNKX5cpBflrinEchw976rKVPyoRI2atKiwZWZ7dJqVzp86/Cgpuk/fELCxvtBULNCY50bljdEKYME5BdoDa3P0PqS7VTvjOb5AXIZBTX7+F8JHTkma17UXd+HmKd9gXuTerjjsAmwIwSNK5lVDYMPVV/3uhifCz4LEuMTBGF9X0UQYIV7vVL3uePQA42hOAHYFr64xZxfq1F/38+BLSL8LhSUr9wEHC1CXzeO4gVgggj/SPr9SgP3Og4/AiY5zsju8PoI2G4fuAwYAOzq3pmQD29wnAY87MpWEGwNfOr3pQhLHIdq4GbH4XARvotPYqp+2olDhPWOw0Uw50bH6TdT27E4Rb/3isYuFM3PToTHxJOZ8nOz2TiIqHAcNgbuAn4twjuGn30o0AHYu9y97pz7DXCaCAtM0uH/Tl51nLrY3BvOgjt71MeSzqqGNT8GbgRWA0eKMLv8M7OMR6nDfuPrdQ4wEQvtg7q4pxUGn5kZ3D7q4jjMBK4XoTa5tzVdCT0EHuyYE/9dMh6+UlAqLl+E14HXHYfzgb7ArTD3WzhzW/jT9hHa+gzwz7r/uPPVPcANIjwXvzWGkLX1Fs8aTi7TXs479gCpCfebXCv9qPs1belD/Ssl/gKktbur9rP6z0y62pl0AZTXQA5J491oevk7UN/uJ9zdlNT9u2Ha72HUV8XxALWxeGlQfmaU2rn1uH80yF/K3LMRWpvkXDM0+snzmEUN9fRGZTtYNrcfyqU8GVYD57wXpXhn/u5ou48qyWsgOZ7JVWhdLKNzmzuGXwPpE/D+JmgJA2MxE8FpfXRQflzuOoFzV0PNMpBeWcz78dqTVh0gmQWyX9btNc8/+T3Ilcm+4/vlDVGClxtBl2djZlleBdLc/f817nzlW/8pk3ZmTUDMTtrRPUZObKJDY1EmxXvGHV2LJ+pslB6QbUDmg3TP/9zswm7K7xSNyWof/P74tblA/oHWJ0mkwGH0NrRfUgGGd0vUxS6wwoPG61wR4L59XKO+eXw6veR52Fp47mLUR/uZhmZE/VAW33h9XLfJUJ4/xb+fLdA70Xk6LX98//fLkWgMZwKlPaQfyH+DKjkgB4C8k43s+M6x92ZBT3LtMTs3oDUOD826veb5J0eBvJrsOyrHbTd5fvq1tXOgtoLcD9IHpBMaNrNt1m0qvBq6296+wLsigd2HomA3YH68R9zYCSY1SuFIvSQch0bA3cBEEe7J/a7Y9WD3/aDndSL/ro3yrnDp10viC0K57cV21+oNTEddNr4O/l6T8GvD1rNFHsoi9W0uTgMeEeHbEL/ZBvig3E0izHYcbgSuA7pGpM99VqE8r1wK/zwI9lgK7AX0Ae50HOYCV4owLc770sH3yxUxPrxclX4DXAtckfOZH38Kf/9T4JJGcOwC2LE2Cfcrg/NiYNSXOvjJLrDHgXDQMJHOS82+g62Aq4COEtztdi/gfZN0BIfvHLt9km8tLjthSr68wgVGfGIqXCAH37N05f/DNGBvx2F7iVGKpDQqw203Hfi1dfefOw6HitSHkPjgGWAI0Ar4lQgrEyI0Mr4PxlNZn+So0Imux3BotInjzLgz+kRXMUrPb9CiRxd5fZm7sDsOxwF/dRz+FlJRNo0vgM2D3960aYwJqp/792QR1gV/p2lU9CTbGa0JFgYlY54KcBVa++lXIjwW8j158Kj3sg/MfwmGd4bNmsCy/8K4mXBMAzGiKlouEkOxwll7OSzaGX7R3ntezdXdS/HHa17+KbBjrchDR5uhPlvU1x3MVaoHVzvOWZPjKu35/bL9jjDkJZGfvx78t2dcCps1dZw3Y6ytUZH+WPLpCyMxL8WbRZs0gvG7wC2m61+mZjwlZ2gWQ4QNjsMLwLFoPGAC8DJwg9W8jII0+VcMv7b2uh540HGYBFwswhKfB7wE3AyMFOHVdGgOiayPvuIdDSaXaa9SU3fH4FVn9/hz+4D3O/D+m3Dm1CzjtNAaK72C0StXw9x50Lc2bL+h9YYE5JW025ik7Bnuix3R1PebhvzdUyAnhbj/GFdWtzTP13OWFvN1nz1ABhS681VanahKlYv02zz6G/hgFpw9w3terQ7EH/95eeA7JFB3LBv+JbP2ePdL3wXBM5v+MLLTpdEX/u+Tu0D+bPiZgdbjhtk/Mgjk38m2a9uWcNkGOP3FRNNoV8wYK3ZRBqlCY8xWgJwPsolHX9zkjpED0qI3dPuyJiBe58hLIEcl82yTCRQ6759lzBP1sSQHB/9NVQs4+5OsFTU0/uicMvc0BrkF5FWQ7cLGFYAc5PLnJpA70mxfaf5nFxvhw6dBIHdH+N0rIG1D/uYOkD+Zpb9sMeRN6o2o2VOg/8Ks5d9bLoZ8AIM+qBS5SLa9/n2mvOj/cX4f9ajVAqzlx42/AfD2o2gq/k5klDjAlOEOXV8sjjsQiRtnES+2NPvNxHwel5YVE30B0gTOrUmiL0q8czs0vXM7g8+8EWRw8n2TvoygxciXkWBiApDdQD7+PvIvAi/2cjdW3wc5LufzPu5nd4BcmDWdfleDddtzHBxiuu2VPtb0culYAWzawXG6PB/uGPTB02DmRDiAoSToAAAgAElEQVT2q7RTmbq+6BOBC0V4I/gv9xsPf22eRZxWfr/s0By6L4Jf+tzLFmgay03QNOPrYc2KoDQ6Di2Bx4BzgKZARbjrZBEb4Yf6/jj8RFg423GeaBFSdrcBVoV87XnAu47DBBHeDPlbH5R2nxVhA/BPx+FfcPUU+PtOWccpFsJN7zwJeF+E67OiIz3s9BO/PhN5udZxHhsP1dXw4dyw86p/iunbax2Ho4HrgUGOwwgR5hpumC9KuHedBfsNDuqG4zjsC7v/PBn3tDiu6JXhxh5kjo3rauemWT4buBwaf5Wmq6AIKxyHocBtjsPPRfjcwGPXk4rbnp+MNN8pqTeKUOs4rAQOAFNrThH2B7PlAbxRGWOsFET4wHE4CTgF+Lvj8A5wK8z/Mwx/GXY8AH50nOP8476KTOWetfUWw2qNlWmvfEHDQsu9VjSTU2h3sB+5dIYq9GqIRxuBPAJyQ/jfZpMZxrtfBq/IL8pWtxN4+hQ4f5kapsVHvwH4s627wzHM/X/fSjl5qpTLxPG/e6oXuvq42x9vgjQ205bgu3H+8n/uPJA2ZJBeub4/fhgnTyBOueLdICNB/i+h92+CupWsAPkNyBZhTyHC3O++rwV0etq7zR3WBB2HID103E26IAn3ne/DyZOpdnr1scqudAWZAzIJ5KCsXKkw6L4HciUBMqfGf89xE735ftlXaCa2XiDb+PE/Rvv+BFKdYF9cBvL7ZJ6dy4ejl3rzb8wnIMdF1ZsT5MtmIFe7evbX+WOkd00lrnOZExCD2ceAvBj9936T4qiPQR6FWZNg+Lr6e6olyoQPcgXI7Rnx6DKQaWENC5AmqqClv8D598sZL4IcAhe0hd6xFyCQzUFezp3IrPEUpj+CyYGrRHxNhLTv7m+fAxltpi3BlRf/dg95H+QdNPbrEVd53y+NxagS/NjTlT05T2Obetf4b3LJH0EuSJiOnUDuhnkfw4DFwQ0Yr/7qvxCeGgFyAch1IA+BvI6mD98A8jFcuLrYaBeBsWXHIcimIDeAzAX5eT0dZl2A49XT8/rtqA3Qt+LiG0psotToetRsN+8+fn8GyHSQY4vb3vZOGP4RnP1WGmMXg+57rtz+IWF6W+pYG7S8WL4GHATS351718B707zvi1wa5TiQqQm27T4CxoyF23jxLLvgYYRMusBdv2a5fNwsafkLyBcH5F4Y/UkcfSNVmrMmIAazR4D8Pfrv/SbF/jNBTtXr4QHQbbJ+1vlT7/v9T2LI9tTpJJBPCFkzB+RQkDkw8yHoMz/9XbKer3jz+bzlIK/B2PVxBxdahG0iyARc/2adfHq+DKMXe01UlZY8ID056vNGWLkv4HVTkLUx5HhPdwztYqY9VS1g+HwY+G75OIdSJ9OyA0h3kJtBakCWqoItA0FaJWFMNaQd+/htlQ4gS0B2LaX8o7vQZ6RDU+dJ3vzvPgWNB7wE5A9oce2H4Xyf3d8RtajRNxo9nTgUNdAal+7ncSXHIRqz8TrIgyBbJc+Pqha6mTB4Ttg5sbhPX7sB3cyqiEQd9fR1Wq4bp4W1wwbPViX0sq+8++rMlygROwNyNMhr6bVHTkMN6lj8BRkSR+8qzevOz+uJ07yPQYaWM/pBtlD9zNyciJ6ArAHZOqF+eA/kZ8F4UnL9qULrpJ0OcikMm1fMh9kCbed7JGxwQI5FC88uQTf4Q3uGGObLMJDp0HVyHH0jVZqzJiAGs28iRqY9/2Nhv4KKYVx+6gb90PkwLPUjR5DdXWUucBFQ1GXkN+5g6prfjnSSFoCcCtVflnbTiedO6E4c14M8j5s1rvxEVdk7/kkYdqjhfwOM/TzmydOuIB/FpOUykEdNGSQgj4F0DM7XIMkHpAVaJPROdJe31lWie1GwgRGlv3R8phtwntWFFmJeQoBkQGgyksPSoctv7hmzDDWif4fuzJ+tymrf6VH6y3u+6fENDPdQ4jtPcvlwkjvnjzE1TgL21eNBxlKA52ykY2fW03D4hGwzvJYqvly4NpwxNVof77OHGl5nTE2rnRhw3wPpjcGMdN68HrQ8KD+SCC8AeQLk9AT4vxnIFwTwBPLXN89f6s6N60HeRk+ufw/nvBdNDmUfd+76FE3OtW99v6SzWQxyCJqoo1VD2iDMnIAYDI+caU8V6Hef11iaOC4YxfdnrWiDNHEH1bkhfrMvGlvyBEizDPrSAakGWQj/7FTMv6Gr/WPRpOzgyp8I+k2HOe+RszNbImXx2yC/1r+VOaBNy5vbFz1RN6K/Q7efxXk+ujv2Vkz52ARkNkgXQ/I2BaR9wvL8U5Ch6CnAKnTH8W/w6KAgJ7r5MtvpaZgzB0YvrFQ5LC+jpRfi+nu6ToaLVsGUXwfk9SKQn6TTjnBzT7y4oKoW0GYidPm8/uSjUIkfsAhqlulz569WOUnX6HDH5f5mnrXPHjDi86zWzvL91n5J8cln1PUok9in2O576AnWxOR5HXRzzryyDTIc5BazvK9qAac8ARevCxYr6WcU9p2OnlJvlH9/bPf67dFNyiXw7gtpZVpG484/BOlUz6fCsTHmWxjRxvS7Y9OeNQERGe64CskOEX9/phoYe+weLqV1+Z3oLC1nly/3gNxGgN1HdLdvDOoWNTDIbxKgeUvU9eYV3B36fD6fORXefiS/D4IvPP7piHMXQL+Jauh8kMvdvx7fZ7/j7y9vxz9cOMH6y3OdwnX10WiM0QyQQ8LIfYn+PRrkBQNy0g5kIQbckUBmkmL9CNRN9ECQCzRg16u/er4McqLeN+qQ4ri+AYuhql0ln4D6y1hpmqMqk2h8zwZSSt5hZu4Js/FQTokfcBDIm2pMjfkuA2XcAfkcQ/XYKmXXOcxpRpQ+zlhHiOW+h7p7TYpJwyYgR4JcBRetibO2+pwSfg3/GRWDvj3QkAdDng7Jy4gpgxxkM12LkpdPV/98koIYunp947zlqv+98wRIH5PvNkJ/1gREZHozImbaA9kG3VU/xDRd+vxsstS5bTtPF1PZvPi7QkX5ksNBJoNMBWmVUT+2dBXZ2/AJXERrrTyS/1kYd6og2ZLK1f+pjEU9nLxd+iXIWtQovRndTWsPsm09D72Kj075NYay27n91xXkQUPPuhnkbwaeUwuyW2X116jFIP8BmVHKVTJtV9r47f3l3d5tqf4CddVYpv+Osnt//MNw6RfpnrSErSEXZ+PBfy2hfjNhvLq5pT8/uevwsuTHRrqbVNEU1zAykW07ieG+B9IW5L8hf+OgNX2Goy7Tq9HYvKvgtGfiym4x/6/tALIU7j4zqusZyDwCxCYlIU/1bQpXhNrU2pCWfIKMRT3IPJNJoXGkE9CN/cx1rSL6siYgItMjZ9pD4xD+mhxtv3oyo4XsaNwA6+Lv/BTlab8js5TLcpRL7whKGMEgx4M8E/09hRNBrWjg9Wmr6pXRhhnzBNJIA7b9FG3ZGuQIkHPR4obT3IVrkf8JiPHdpYEg/zT0rK2V9nAFdz2e8ymuEZl+nwUx5itDiYzJ4y1AxsDYr7zb0u0lkB/rdcZLYdpbqeMxPVnp96Yqh3JylvICchjIq8m3N4viucFd+htaO4nhvgeyP8g7Ae7bFqQbyD9BPnKvf7qfbVt/XzJjGSZ0Vx0nsrv59Rgq0Bp1fOYbQ4Nmw5u3pyMf0eQzTJyUq8MvokRCM5Cd0UOSVu58l1jx4kh8ypqAaJ0bLtNefaeeNQMuXQcn7JsQXc1h3qIw6WwNvXcX9DTtaO/vK2NRcml10MwqS0COCXD/EcRIHZrf9lqB88Srb8pn9qlqAb1fgZGfVMKOPxrb9ijMnhYmK6LL/13drJKJK1wgF4FcY/B5rstt+NTn7u83Avk26u/j0x/Eja1yxmvwNtUtmr+8G14a785HD8LJj8c9+S1+n9/9x00s169pBkInIyvD1sEHM0ECyMuxDyVLn/QEuSfZ9vaZn03SiHeeVJch8ye83u0c+SX8fM/02hfNfQ/1Flng8XmdK954kNfQTbrHXF1tb0pukCaRSj92DNApIEbWQn9a2kwMYWzsgIaq7JS8bFS10HT7YdwMw5QBkZ3c9SGI/vcWyOFovbTWSbc9FJ+yJiBa5wbPtJfWLiW60/o6yNg0XWvQekVvgJzvf0+WroS5ykq7u2DGPWidgUBuUyAHg7wZ7/11/T9OYk6o54DcnDTPAtCxo9vnt+miFV7e0lLQ0Qxklxh8noO6t10UTRaOvAeqv81ScQ5mqDeMkxV/Bf+6E4O2JXwska+r6hdoDNRCNO31PSDXoJs1p8L1J2VRfsGMrPR6FS5ZA9P/hZsltDT/Bq2AeUtADk2ONrkM5LfJtPe057WkwDRjGy+l35evwKKuvYkZM8VzwKz/gPwxXdkq7b7nxRv0tHg5JV3x5EgiFK032za/OWL0YncdL2PQSRPU7b3KTF8XzZFfQ5/ARa/1Oa/frJ4maWTAe/ZCzRQd1BU1mD4BsjHqqheoELErT1dj8CTQGI+yJiBaxwbPtJeGkkh9ooYJpQZkAnxwXAX6Hr/3gjSFoR41ANJwJfRTrDrsE6KN+4DMjk9H2zuh69o4RmRU48nkbjeaGbHWVVwiy1qKmwo3gQwy/MyW6HF+4LilhmSQ5MtMZcc2BXNDDJJox0wcI0hj9CS+HUgPkIvRorGPw0WfNqQTvfr2ylmuwtozjLygu+fLQXokRNetIAMTbPfeaFxcbAXWn2dFKeFr4ZDHofobOCzFWDrZFuRjkBNSlCtf9z3/U8BJ57tj50OX3iJXvEq4/OeI3q+A/NtdQ5eh2VBHoQl9GuU/QyZhIA1/PT9zx+cvHg0fV9d3QVrrl2uwBDVwtoWhC4LoVuhm1pMEdMFDXYPfRmuvPpu1XOXRljUBpQWtWNkkZKa9NE5dQC5HA/NTrdaMxrK8A9LE5/sjQRbAjLuyKXgb33B1FeXamHzaHOQvcQvsRjGeTCrtaFzbUgJWKA9GW7IKOppJsVsCz70Q5OmgBmRDc4VrKFcWp9pRx1RDiyVz561/gLyPW38lwjP21zVArgqqsIR49mQCuN7EfMedGDy5zn+235xQneo6mdPWo1xjJlIW4Yjv9HTf8+fN6IXu//cNOvdmcQU78ZZdUNfTG9GU+6tRr4ZL0XCBS8kJDzG7CRpuLkp7/QJ5AKR7mXt2Qot9r4Khc73pO3xCzv2dUKM7sKGNZqpd7srb2kI5zfJqTIXBcZq2gI7Pwo2toAmwHhh8qOM07SCyphbYEfgOWBbsiYsX6TOa5Hy2HliyKB6N+42HZs1hk8YwvhW0OkiEL6M+MzwNHA6MAw4TYX3Bd5sB44EewDkirR93nIktYO542LG5tn1WtcvPBNGseT7fQf+/Y/MQD/kC2LzUDfn9sXA1bAB220r7vuddMPQPwCyYfxgMfrBAtmpgVnU5IvQdnfrDNjs7zmt3BuGfS9fzcGPLej40Qd9fMx7oVe699c+iL3AN0E2EF4P+rhRc+gPTEBba/oHtYNXujvPBqYZl7s9AT+BM4K7ytxuRRYsimJ9fy0FkTa3jNO2gYyjMfJY+rVHhOLQCHgA+AH4hwtoozxHhHcehDfAQvPuE45y7Grb7sfIi9nhsCSyI8fsgGA9McRyuj8oDf/jNCRvl/Dv8XB0VIrzgONwGs+9xnIGfqGwb6adS75zoOO/0hRvedJxli+veB8f68KZ2DtAU+FgESYImEwgyR4jwETDBvXActgfaAUeg68tB7uer4IEP4LRxcENLH700JMLORamvX7sDc72+cBz2AC4EugB3AD+DfzWG1QV6+6VfwJitHafdBNh1N9itNbQ4U+TslUGJEOFbx3n7Jbj2Vmj2Lcx/zHGePjt53TUQcdlbcGEsbEJm2tPdgmFrTZ26eO9o9Ps4TbcakOZoHYKTindD/nYSyCz0OHr7Su7LgG1tCrI2XH/kFpIc/Q38Z1TdLlm0+KAodRrqfjPWY3dJSu52F/fpK38BmQ/y0yz7M1zfJ+8mh1YmXwyyTfl7T33Knjwl1c9nL2oI7pDeMlk6/W82dEpH1KVomKndffj5nlps3NQ6KJuAfEUKiVeSOn3yX5/GBZ6rzdO0x+4w4ou0xpOOCS+vlIOfLuEaWzJL2vflcnUP0VOY85eaXD/Cx3mmd/KEeneto6CmIkhrkHvdk6ArQbYrblOubrXHMXGLXuszBy6pxPUlcwEtZpbfcWaXF1y/z9dh5MLgiq9sq9XX299nwj0pa/cfd9GaBnKZj+GQZyxEf0/8I2pv+kZtgEEHh2jvxiDfhO+Pccb6xv8dJzyCFtTzuE54JEqSCv9MTAMOSkO+zMlpagkprgf5R5l7ekPNChjQIJT8rK8wY1/vPf0tOONzLd7aemIl8zR/gR/0LsycmDVN9bRJYzQm4EMM1yE0PR5Bdscj61pCfEkk9qn0xlt8HlVCP0V732yBU9cqLwrjwapaoJnPUssMmOWFxuyOTsLlt34uGvkJ9H3NVDa7eO2tagEdHoSxG3JiJ49A45Q+QWuJBhqHZjbPK9fdvuLc9vyPM3c4CM54Gf7SzD0W7Bnw2LQXtHxM5AVDx+6Zu//8BVgBXAX7/av+mLSOjt80gmMPFjleor4ggOtkIHgfnf9pORz6L8fhKBGWln8GXzsOOA4bi/B18R3NdvLuj+9y/h23b/z6/IBjgSe9f3OAS9dZwBXAldTz8rJv1Z3QC/uNL+7TqzaFY0eTguuIOex3YErj5FJgtuNwhAgv5X7hODQCrga6wG5Hwr3r4d2UXVcbFsKMfY97N4fB+0NN+oQHRK6rquPQBJWdY0R4Lku6HIdmwL3A58BBIqww+wZz65b2+3E3wm5bOc7UQC7McSDC+47DM8AwdDwbem7u+vSL9rD8M/hiS9huV70juFu3OaStX3i97z7gri1VzbgWXUu/A2bPUJ6xDtgyGXoqDv8BBifh8ls3FzkOI4G9RG6vLXWvymrVf0A2gpmvmR53HvN5T7i0C8xbCrv/FugsoUJTTMhy5vq2P7K23rwt3yGfFlvYv3o5rAXqHj++A9LeHH3ZWcIg/UA+qDtOTSoAOuk2glwBMhsGHRxkhxtkTeERcv13/adnd/JUSvYK60uNE3XhazsfHj8XZCFcdFhxKtgzpibRp2ld7knhX+GS1WmNE5DOIO+Rk8IZdbl4HOQFKiwTVCVfYWS9kncFQ8jOqe6cummGNLR3d3Uvx2BSh/wTxKMWm+irrLJWJnX6lPP8E0GmZJ3lsjJOnkq7miuf5Jdp8iWry11H1kK7vb29fK4/ycA7OoBMLn9fVQtN2NH/7SRk01/26pM+mHne9+PkKdOX+wjSpupic/zD+WlXwxsKIG1A5mEwK4x/Cs/EF4+DUV/Tn9Z/loxg+fN61GKQAWh9h5hugf/9s7rwlV+E0QxzO3p8fhjULC9O4Zkb82SiWnmcmCfv32gh0VFf5X9/7mcw+qtKnSwCyOh2IM+DPAmd909LyUI3SR4Budz9/+5qnMsNZFQMt6FeYebZhpa9roT8PAJyWQbv3QhNpb4Y5Fizzy6cf2YL9P467njMdvNw5kQ4e0YSdW7QzIZrCBA/mWwbvdaN/svUHTaJdnu9r8OaUn2s87vENhoayoVmlTyp2LB+bDDIEq0fFz3EAaQZyPLw/WQ6htjsfG6CZp9yN2sqwTU805f7CFJ3PPK5R9v9l5tJJNA0dxANng1vP5wwT7ZH/eA7lxes0d/An46L974Bb3vzuveraPDuh65BU1cj4SCQxt488p5Qwu1wywKQlgWfbYPWajg1vz/aTNSFxuzOYfREE96/KdH+JxtSPaKc/mjt9tNvcetlpLmLC7IzWvtpiCubQ7LmSUO8wp88zRY9Vb3c/Tu7QRj6BbKzK9Ss0g275AtQuu/cGuRRtJjvzun042zRk+/o4zErg1nnkrM+TFZ5lMdAzsxeHnPnzeMnw4Bvkm130TzdrvTGn9xHAuUnKvVyNziu8/7uscGqc8U1EC77Cs54yW9cprFpkcQ7TOgA+ozDJ8DYr6Hjf3TD3GzZhUhty5qAYkbJ814DM3x2EtkSrQeVaFYYkC3QAMrTEnp+Y5DnQK72F6xc4XxqhLuTuV/E9w2EubXl6kKRXyPhXXfX7hmQy2BCd+hdk//73vPgmmNc4/i3cN6KoIsweoqwb87/HZCJIH/JWl6j96u/EpK160gEmemOnopmtqC6MjHX5WOgAtr28uKjV3ajs2q9F/SqdtCr8PR4A1QVFd2s5EvbPHhFWhsWaEHO+SB/AdkkmXc0TJfuLN8LMgikogz/7PhdauNPbgXpnzVv0usDaQ0yJ4n+CarXplOvtLILybtG+1muvt06a3oqKmGE47AnsC/wcOF3EWp7nA5MFSHRGh4ifO449APudxxeEjfQN7/2UHGthnLf5+B3wDeAZ9CqV60ex2EFMMlxOFaEWUHb4jicAvwadv8lTPy6VF0oKa6RsB1wOHAEvPV/8Pft8pMe/L0VXDURmATMhI9nwfojAwZgFtZ6GgrsAnQP2rbKg38AatL1l0zBTcjwW3SsdRBhZnrvzh0/y5bAdd/BAd8AnwK7pkVHlggxhwSGzrOvT4SRbWHVKvjRVtB9Y5h7leN0aZb/noNHwo0bF9Qw2xhqBgNT06Y9+vP3Gw/Xbhu3Flt5mnCAgcBVwLki3G/q2cVIqqbVrGoYfGjYWnnx+zuVwPEngasch0YifGvwuTGQTcB8mTVoPT+chBEAM4Eqx6GVSGE2nLj945UgymvuCT+ew4656PXzUsMzwHE5f9/KlJqsrbcCy/IPIL839KypIKemSPufQO7Sf5eLdwm62yDd3R3K0AHvID3CnEChNXOWgbSJz4vyuyRhdjlAXsINUHV3bZeD7J61vMbjUWXv8gSQl63RauzPUVDvIRveDV8Hp+znysdSMq5x1pDlB+RpkFP039u2hOEFtTqGroG586H6myi7oUnLfngvhaROaXJdl395N8x8EK3Bt1c68pFMvaD6dp0xVd2N2pesP2cm9sFvh7/jf8zyTWaCHJZ0/8Rvd3ausSBXk0A4RCVfILeBDDXdP0HnHu8x5F+jrqHrF95tuuRwqP5CE2aMWZx1WzJnSD1jZFNXeY+sFNdP6j1fgbGfw66tUqT/f+57/gOq/RL9rvXEcgMO5GeukRD5eDKoAYXWJlpcpzDF50WwCSWoexrqDng8SJXL4+5Zy6sZPjUs97yc/tgXdZH7MwWxbum8v2wh7T+C/CtrPmXJg5j9uwQ3Dsf/PSc9pn7o4WlIPptnuOcn5+tfqLwMXVPO0DAnH9IVPpgFhyU6v6BxWyVduMxk3fLi54DFULMM5CoMuT+iMZu/TaOPorc7WyUYZCzIVdHbE69+ZDZtfnKYZrrLp9u7fwYuCdqucDGmufrCgLdh1jP4JO6qRKM7Hv+9+Ny7JtNxUBlMaXsnDJgVx5qshEkG5HCQRdDtJe/dhMtduvp8nV+Ir+76XyrQrdEsgT0N0FTSgALZwX3XQLN9aq4v0GxYp6HJKkoWRLWXX3+YWbBAOrlGfZ9s2iLbwqD3S+3WofGOH4J0yJr3yfEhqdMS2RFkZd2iXD42L/w4T9p/3//5Q+ahacGr8u8Pt6sbjIZMS1ps4s7pics/PNQfLlheam7x748e/w33ruLNJnf9ehRkOjlxsdHbc1tnuGhVJSn3bkzebBgytxJoAhkJ8tdo7agsQzA43f4x4PlyecoTMHkVHBcoO6L+tjA+PMgcKpuiseCne3///ciEWt+eyjMGM2aIucFUKcwF+RP0/QiqpT4DVV3a7NzaQ9WetII0QlOBGkuG4GdAuUrm6yBXJtO3Zk5VQO4GmYS6vGyRpcw2tMvUGEPTKo8D+Qjk4ORoLTby0DTC3VwlaTWMqA1wcnuKq0BunnUfmOeT7A1jFiUx36EnvDnuteVO+cKNcxAHBr3r/cw2E83wx4/mwe+BTANZ784lt6HZGQ+Cffaob0f3D6D/h3EU6CyVF5ARIE8l/56g7ud+/TH2c9foOR/kJzHa66AlNJaDjNG5KvyGUSUr9y6P/pQ1HS4tZ4PcEv53laGjJUl3lOQzcMPJcNGnYXUlkMNAFuGRXl/dhL1oHr4AZMuseRq+DyrPGMyYIeYGU6UwV4upDS2opzFaYKDknzZ1+dxrgIH8Bq0rYLQ+Tb0B9afjlO9dXoDRn8Bb92CwDlYyPJVXXL7F3ln8oV1mXGakKXr6NxVkh2To9FJczv4E3roP5FPXeO6rtASOGbyfiO4llXi5/XCtKolTfq0ZLM0qeiAXgvy5dL9E3eASB+QadSfr9VHxHNmp1lxMTslUyxuDHIBmV7sFLaS+HuS/8OatcM6y+JsNWWVJkx+hMX/7Jy+PYdyzvfqj2W4gR4P8Az3tfNHtk0hFrUF20znqvZehb23YPqxk5d5dv+/Omg6XljNA7g1x/7Ygw+Gitd462imB3dyyaW+Y2neRSur0B/l3xL74P5BbCz5ztCba0DX5Y6B3Dbx1L5odORX3YXN9UHljM2OGmDN4KoW5/nScX/D/NhP13m4vQfWXbhrvTujOfkIK6lMjimsS9K6InTV/mmVzl28zsqalIV7Q8eU4YwxkT9Q94O8klFZZ3+M3bvq9iUe5gSAnHiDN1dBo2EY3eurXF91lvLVufsjZXX8BLlkNd8WuUQNyF0jfsLwO8FzXcJIZqky1nuh9Om8q7qn9T+Hyr5U3gU7EqkCOhH7TTawjmsa9x/q0TzFAfkeEU4Fo78pdv2ulvt5X+yJlGG4+FS5Z4ydDqBvSqSD3gKwGedw1GELtkoM0gv6h+tCVzV+GKZ+R9oW6m76YNR0uLSeDPFG+H+QENL30ZyAToMuz3v1SncrYiN7eMCdP4XVakOtAzovYF1UUuKiDDAWZqRv5xfM2enK4HOSMrHkbvJ29WhfrrmO+hRGxE5xFpilbhpg8efIMKEt9QPoPnrG+iyhaaPZDDGW7S4Pf6fFTbnJpvTBrWhrapWOidLX4Mrw/ybTsg1MAACAASURBVJXJc5KnNbEYniGoq1bmRfUi0n8wyH9BXi01N4D0RnfuY50io7uSsWtoFLtNvX5jneGUZH/ntKMNyPQs5LB+LaorIDxWdBwmW/8Krb23EmSndGSzbj2pFThPShmK6A755QHbUYXWEHzCVbzvdg2rQJs3/n14ypJcNz5Xwe+MejbMgd6vVOr6CLIXyNys6XBpOdLPkEOTT10FshDkNXf+3Vq/89LRzhPTGyfm21vVIuhpdMSTpykgx8Toj5Ng7ofqqtfnDc1IN+6XZX5zAEiNa7htUs7NNetEHyC3wxu35BuD7zxBwUZfqjRlL5QmEwvk7pAOXA4dX027s0sMHt/K7iDbuPc+nhyf294Jp62q3+XNpS/7nTVvuqUb9VndrsianoZ2aZ/P9lBsuq8p7YMtDlpV/ROQw9OjNZEYno1AXgYZlHV/lKazcHHqdyDqzrQYpF854w+ksaYP7zwp6pyHnvJ+AbJp/LYUzusjv4RerevvSTrjngwEuT0LOczQZe8OkPHpyWmbiepqWS2l2qvKmSwH2S1Cm7YDGewqmCvdMXEUSKPw/K/O+fc5y3S8yCtoMqJGFR7zVAWyjgxd7Ov7vvfrcOHKnJOMLd05agrqMvpHfBNUVbXQk8ncE+e6PqpMPUTpnvUU9JxWPjNw2DIJshF60hq53Ie+c9iasHKLuvg+Au9P1wQ5fm7O2Y4LkA4gtRScQrtz/A/Tba++Y055Qv1hzRg57k7B0iw6O+LgeQgNbp+P4QD30rs9df+vvB0fkFboqceBriJvpP7XD+nSuDaRfJeacQLHTivB9yYg96K7hqnsYOt7E61btL+rvDXLuk+Ct330N/DGP0C2Cv6MgUvi8A895ZoZvz3ljQf/Nk863wxP5f9ARmchh1nE34K0dg3tpunK6VlL4FdflmovSEeQKQbauAvIBegJ5idobcWDCw0KH9kqUNTXCXR62vu3lVk+wjWeEuvf8H3ff6EbQ/MpmsynEwFOBxuaB4xr/H8G8uPgvLroU+j1avlse7IbyMfx6IvOTxCnnKtyxplDt0BPyE7y+K6Fa6xn4lWSmUAWMKE1yFvmnhe2zpDZ06kwEzDIpahbzqYgDxDQtSE+L8YZVVDN8q3LZLhwBbw4zuXRSJDrsqavoV0aLxTK978lWiTydpDNsuv/blM0E9dNvzL3bLmaEEHO6ba7Mk47UF/42PWxwhV+zJ0nrznG3US6hhInCwHbMgXk6HhyGF6BBmkEQ95PU9lQBUgmgZybjZx2WF7m5OlBkAGG2/xTkF+jnglzQa4E2du7D9svKVUapKFcaI3DvbN5t29M6nSQHcM9q3JP+Hz43h7k9ZC/WRaEL6jb6GPx6Iu3WeP/+8vdvxd6fBf8+dHaVDd+h30IIxaUOHyYgwE380g0ZvFSDwYYNp7KC1MlDGA0LfAi3B1+15JeCbJrCrxYVUk7a6X6A+QcbH2nkPyUXaFmFZz1YTBfbTkaLY46ggrIvojG8MzAUBFe1CXNcwcr68tMnI2JZ8j/gYyJ355YO6HbgrwA8hgF9ZhCtMNBd4oju8JEfO9mIPfBe/8tVRfG3PvqFIx+b2nCkD0iF5iPJ2OnTisxd2+LuiUFOkEtblvpjU23r3+BunYvoj71+c4m5LGSLjQL71FR+JRc30dToPON2/OXmjpxTojvvwf5dfB2HT4BLvtO/5ar8TTwbRi6IE7fxZXvUr+PGzcdXTaC6eYg15NRPHymQpnDgNRPnrKeUNHj2qUgRxR8fgXI/WnyohKu0gNYeoFMyJrGhnK5CsVjINX1i9SZL2sg6bYtPe4d5RpOR2VBb4k2TCJiFiKfZx6L+k43ybp9+XRVzMlTrMDl+ufE25hC3WRuRlOItwirIOrGgXySbh/KVq7Rd78aUcm6f2Wx+VdeyfLM7HUuyD1ptA1NAFGY+nww9D0gaV6lYcSgiTN6ZiEDcOS9SekRIIe783KsWMukLpC3QdqalFuTfRd/vi21cR0tbjoev8NkN5RTQZ4tbk8KGwpZC6bLAMPGU1U7OHatZjkaJerv3PVzDXCtagGyKQycXd8xpdOsJtDeLUDeAhnh8d3mIAuI6HLiwYvMT9iC0em/swXSBeShdOnJNrtMTPnqjKYX37Tg89nkZGxzZe0OVxYrrn1o3NsKkJYGn3knyB+ybls+TSbibGIbLEZPa5Se7lNgzLKIySsckJFQs0xjK4K3y11QEy8Sm/O+5qi76/XEdDcM/s70N8WiyBiakOFEM22rK+9Rfk6mKPX5u89Bj6nQdbLp+TytNRZNxHB+/f/9+PSrJ8ttEIVZ35SXs6fBuZ/lt7F3jblQB3kcZHhSshu9Xzs8CGO/LneKVLo/vJR+s+M37maN/+ZHnV4WPG46Pt8LdcG6d+d7SynNR94D1d9opsGqFqluKGQtoMoEc8ZTPvNqXcMpl5GDV0LNUhizqP6e0mlWDbfVAZkA8m983KNU+Z3zgQ7Y+Mp7JQfB1tNY8uTpxHSVoYZhcPrITlM0TWxRqlKQP4Bc6f57Z5DXXeVii6zpLtGei0Ge8hsrEZ73Y9QfPRM/aX+6qlrAZRug64tRx2j9OB/7lS76oWJ1WoIsNNx3XUEeiPeMrs+FVTJAqkF+l06/yV7uZtelpmQ02HvDFO40txGUv5ZctAoeHliGN4sJ6Xrr37auX0SZk8lPfb7anfMCpz4v//x0DFnUHfFP5fl00Vo0a+YC1yj5PVon7mCQJiHdojZCEwg9oEWN6/q++kvoe4DBttUlPAlV1yupK9pGQZgxmX5SmUqWbf93+urn7bz7p83EtOjNvHOUWSaNp1zGjxNvRp70WP3gKJ1mNYG2jkJjOXwVVqVt+OcNUXmPzpcBBxUXQfuf33x7UiwQ2FBcHX3k6zqQf/p81x7kDZB2aHzAhWkqfBHbszHqNtHd4DPPdg3HVE4JgtFU1QLGbIBTl+rpd+uJ0X3gZTI5RRODvbvbZC0SajJxjgnjKVLRyftBeiTfZ3II6u7aL11ZkY3hnFlB5qgkN4LQ7Goz/OYQkPEgfwz/3HKpxv3bG4Dm0KnPo8to18mG+70HOS6QZTYcG6MFzjuBjEWLX78F8jlcujaY7IgD8lfU/XGzgu9qMeytgLoljk1izJiTwVKbNtmdPCXHB6/549zPknUPzn2nlw4/W6Ctjwz3/CbsehGZzqw7R5ll0njKncgu92BiPSO1k361JDVmq/K6pNyk01AGlmHe3KSpmT395g8BeS09Wjq+nJZMGObhL1z52sbn+41z2nNC1vSGaNch6K6kZ7siPM9xFYIit9ls2lfVAnrU5i9Qo0Vr6EQ5gZIbQYYFf3diyrUB48lvLjzhkRLv/QBk32T7TE5G09+fnK6syM4gU+HdyUGSUiS5lug4+mCWGt6dC+fsjdDC7z8P/9yH+hdvpPX83HTGPPJTny9CU5//ghAbSiA7wLAaH2PvS9f42MdQ3+dtIsKQg2HMtyHdKBtDj//6rW/5p5T9p8Oc90B+5PGcWfjUcorRvj1QN20j83w8WvwM4nPex8eNPH7M08gv4RSjPDXDi7zMlfe69dH6pvTOVfn8rzuJGuuj23f6Ni3dOfOOUUalffKUfuIId9FbDHJs+XsbxpGuQd78HE2eUTRJu9/vDzIrHVpKZZc55YmseVWCh41dJaCXz/ebqIEqAnJ11vQG64dcV6M3b8fnRC0iv/Z2F+qdTT0zOi2ldtrDz0Noav+/xXu3EeXagPHkpWQMXgE1K10jsVnBO5uAfA6ycXL9Jf3QTYpD05UTOcl97yVqnBS7YxePm5Pf8FEC3yMnA14U1z79zYDFPt4CRxGhZhjIKSDL4B8d89vW2scdZ+RHIHvGdU2kPvX5PEqmPq97/q6tQIaDLIfXb/I2ZC85HOQ3qGH2EppBNHIdR9QNcm7O/6+C6XeEdcn3H/NHLtO1b3bOZ30X+LjzvZKE/KOJYlJxuY3Go+Hz3TE4D+QGtMBywTjq8iycXzabcfH4nX4nyHNkUCYkZB/to3IvB0d/RtBsmoX9UKfT++n2J79qY55idUqpmKd8Rur9IyL5Uodo32Zo0dGLgt3/wzl5Qk8BngcZUuKe3UFq0qHHL7tMry+gZgXq6lYx7l45PBoD8iweu6YgO4JMA5kIMpSUk2+Eb4uXwtxnPsxbBHKkQZ6NA5mYfXtL1dko3A0OlG3ueJDn4r07/kaNCeOpXh4KjQTZBq0HtVKVSNlKPz/1KZMF1wva47iGywKQvdKTD9kY5HcgH+MRy5jPp6Iitt/VK8OS8/nID9H4n/tg4tnQO0xhd0fXtKPvL+E2dhsBMmXmy/bpL7hzbJtgbetdA1OvVkO6MJlB1MxlXqnPp/5WjYi8U4Kv4L1puKdKpeKK3f47DeQ/6IbNn4lQrwmN3Vrv0ljlPqtVtPHkV0R4nbv21eb1pwctzxLCNThEG3/ijulMC5qXzkAnDsjP0Bi0p0HWuuvrOJDD0BjtSRHa3gh1OX6gEnWMAlo7w7yFOgeE27CIdkI32zWYerl/p3roaOcszd9ASjbGP/NOcDvCdLa9HOa1nqhBZN6MVEVjzlxNzmCe2e5A+6c7KAK5AzTkhAUR+NMJdQHwDSpGs1ktSoce/+wyaArkySAv6q5iZWTjc+laAbKHx3dtXKXrCpCNoN+BcNlXWoi4oSUP6TYZ5s6DdneZCX6XTfV5xW5HldHeaoGBn0TINrdLqfGSr7AetsBbua6Mk6cA79gZ5FZVugctT2rOdBWb69D4u+bpyYb8BGSqq3hvH02Ock/S85TAbUAGwfnLSuyyP6bzncxA66StANkA8hWM3ZD/m7qr62SQTylTJNR7nev/sb/R5pcR7ChfI85Anx8NQ+eaej6amOW36OnFi2gcU+AU3SDr0KRAY4hR9Luel6cs0XmmtqBt43L+75XwQB4G6ZSQzF8LckNaY6w8j0rrhWjW2g7oZs5bOXIyBN34DaH3tbtLT63OnVOJa3M+rUNWRZlv/eepjv9BT7WakXP6pskhuhfMYee5BtQ4URe+DsthZqoboZl3git8Ro2nEO91QP6LwWB0j3cMAnmXkAUf6wfugHc1M2DlDqQYvNkUPf4u6coIsjXIZ+F5F14hLnfqpwvq1N/6JbfIgIf/q+nk8V1fNLNcx3q+VL5R7n8acuJrMGydKfqVH+EMk2Ta6xfzdNqHcNpbYRU3NN5kHR6FSX1O9b7Nd9WpnJin4O866bEE3Q83BbkP3TjxdC1Opk1yIjlueuXvL1XE1l8J9P/dgHfRrHTtQQ5ESwdsX6fs+8+VPaaCPFmeXjMeFkm7uSfxfNSNuitay26ZazDsGeB3c1A39o9BDkqubZeX7A80Y7Cni7gBud9OC7wf/3AlbE5GoL+Xy8fb0dPL+ajLfBeQrb1/47k2f6Yb/5XHgzhj191c8ZC5C1eDvI+GcGxAM0Z+Ahd96v2uOte9XvNgbDv3d2XnSWM8yLoTXGFL1XiqV677vQUXfwbNdkuoXW3dibHspFjiGZu6C2joY/5Kver5P2QejPLdaczhwWYgXwV/djIF4+rvSc+tspwhiEdNJ9RN5K/uQrtPFnTHa7MfnacZDQatJH5oP7eZqDvB9dn2oipuIG+CHBKizfNNn7yTqvGUjAJNQfHbZPu/bpwfPgFe+xtl3PSKn3FYJHmOOg7858rZLxJgQ9JUnyU9jpN/vuyOphNfirqwn4FHGnXl93lLYNQiGLPYzAaHX9tyFVPPmKebQAYlNxYGr8x6Uys67fkxTyD7gYxGS26sQePFfg1yBG5sZnGK7fIhJ9m202/sDnwXN66vWHfZtiVIb7h0XbnxhG4KNwH5CfR61WeeKKj7JHNIsQRJ5p3gNjo14ymt3Xc0zmQhyCkGnjUe5Lqs+ykr/rsD6TsC+AGbWOiUxiu+hS4vhNupNZvQowSv2ildp78IY9fDv7vl8Go7dwF+koJd8oaSiMQ/EP20V0zS3xD4EV2xlQl4ZERKs83pGk/mFVxSKn7rPc6Hr4d+B4Z7zivXRYnfjbMmFrs2jToEZBUBEiOYO3lKdk1PUWfYBKQbmjRgKeoGtnuSNHg/t/sadVMv6ar2RwLEtEWjqXI2tUzLCboRfDQaw/gmyGqYNQm6FbjAlk92lm1b/fpozCcgK+CNW+CsD/N5MfJLeH863N4ljCwHlQd3nr4wNR5k3Qluo1M0npIfmO4k+BLIOEPP29ldkEK5/lXiFUMZXI9PAb38HQ6/1PNjlrpGaG809bWv+02O8TTZ23gqLOJW53fbdr7ZeLnQMQyt0WD2q72UvYa0KMGbt2qq3NwkAWbpbwj80N26URvCbTZUtYCz34JhtcXB62memqZpPJlVLkmx+G28k5+6ea/nyzD3Q41pDB8sbSrIGk2oEygrpsk+02cNq9EsgkkkC0knCD2Hj3uiRc2XgTwL3ack55Yavm1oNsIrkml75W9qedMdfhyDbA9nvlRcb7R0mZ2srzIJNVrAwHdK8SKMzAWdJ1AX42dT40HWneA2OkXjKfmBCfJ/aByKMf9LNAOLb0a6hnLFcENagUfAdPHA8it6fOZUNGnCXWih2DXuwjQV5BaQi0A6wbUdNItTqd2j3AwwntWvWyTLq8IaB+tEJ2BZDtLN/3kNI+bJ7e/pIG2TpN8n/seoAWyAD8fAnNmmFhrv7wcYcQHyoD0146m+bUYMgLq6YqkUv41WCNgzs96HWcou6iHwLqFcDataaLzaxesNJIB5BaRdVu1PiKebgpwJF3xaSco0Wh/rD8k8u/I3tbzp9ovlKafbdH6+vn5ROT2mcnhQar41rWcHmdvRRCprQbZIpf1Zd4Db6IxOnsyfGoD0QetEGA0sRutmvEvCu6Dh6QqbRrnr8xFPnj4C2bV0f9b1aXlfYXehb8b/s3feYVYVSR9+m6AiDib2U5CVEcOuiooJBVFRwIiCCMqKgChITmJCRkRl1zWtrrqGNawBxQzmhIoBzBlQwMExIQIKDElBre+POuNN59x78jmj9vOcB+bec7urq6pDdVf9CjkY5HQ0YPdRGLvC3RVxWbnqTBK+9hPyPhOBsWtxkZAyI6++78LZ36XJUMiSzaYo4IGD3394J8C59Q1fADMj2RAE4MX9IEOC60y2P3l2n7s+A59+A9IoAtpjNZ5Covko61AltuS3/k6s07fBREElFuDx0BB1cV8UsG0DspwSiIS19XGW9wF3JyTrwSA3RFO3LSz9jzVxoEnLwoEfnWHsSn97m27P6XvZCL/DBXrmgSOd8TPMfh5kBJqXLFV7wdw+JTM/gbwMcngsfUyayVaHE4h5Cv/WwFo8lhBy5m2r7ppTvUOSllchL936rspempPj1C+9++XLXGxAM+xPOKpEg+69b7C9nJhEj/JkFzjb10JGy55oKwT285TAF02q+x0pSBJrQ9uRIC8m0O4uaKxBw+R5UFYOHR6EivVw8H3u3a/83GK8NxkGf+I/wWjhAYo+PV+GMxbH4eYUkvxPIZHkt37iQNPn2gRyNciFPn63IYqu5XszCLKVNZ+ldkMZvo6MWAuVNe7ojroSkax7g9wVbX9bT4Hj12Sg1JP3lCic6y44UA9dZS7c39tHPPfemmbBFvW1Xe5B4cmt0Ji4m0E+RwFlbgPpCdI4aR0tra/Ryw6kAuTKWPqYNJOtDieBthfqrQEaqP8ZRdymQuDTYJCHkpZXhp5SsN7ZE81hU+DTRSDdfPpYvweyZ+Hn+Sg1NTS09oX57+XEJI7TQJj9ouYhquHVjh2gT3Xh7dpJVd43vXIHyLCk9ciGrkv8bMJCavshkFHR1V/6pjZYAL+3Ez9tq88Cv4ucPa0nVUHXqjS7hxbKYcZl1vwdO6qp0tL2Kej6s6Itti55wp62mycU4fNbLIADH79fhc+YXuXfcc8q1HHtMNT99zN33QTZFUVW/Q5Fc+tKkZyJ4dFx4kswZkmU/Lb3KqkQjWuOX872c93on6y5Y0MnGTnXJzuh7sFdve6J0MP0v4AMs4y3FSgAxSUoIIXr3GFx6mv0bd7SVaHNo4d3T5S5WYoQe56nME/u0FP850Aui5hPm6DAEdsmLbPiPDx2hm4AuuedGg1cEiAOYSbIAYWf7/NIoSExWqCVT+PJT/br7HeHr4b7HvLiylikz3XQZJP/l/t5l9fD2DihWe9jC7D0QNerRJC93mXbe6MomaEvPs4xVld2QnPp9AAZCv0/9Ctf77fBwTbhzr+vSM3G3h2PRv4II1qng5ZoEfKi6Yd0BpkR4PefY+OWHRX/fmsPmqi1D8gMkK9RKOzQ9wlx8htOfjPXcIouvtgdPeEdWIBsYx3WnBaS/Ouj0OcXo7F/1Sji7mjLwP5N3sjm8iDeuSDxDluCT8B4CnUgXAoyLeoTH23rnf8pkknyidOceXjU+lwFHpNlQHmFDK8xQsZ8A/f2svjd0Npo3g8VP+W6sE2w2gqSwNArEkz2u7sfBqN+DGMAo8kQ52X9XQdkApz3QxiGv8XHahwS9yWjU9IARVZMzHUOPcE9Pfx6ncbLuctBXkJBYW6AoZ8FkW9GJ0cvgl4zonT/Kp1k03ud0cs3Pbc2QWhROfd+A0Z+nfxaIA/gM++P9uOc73Wz7NXNOj2yTMtjrRvXordRj4McQ0hQ+3HwG0UrvggqsmD3k4fudp7rhlR6MVRBtgCZBXJOhDqwOZqU9ybLSPsaTdp7EnmHsbX9yax3xyzKHNZHryOJd9wSdALGk52V2q9kwlYb2nuAVBGDz6nSnI+dn+Rpo1Ng5xybSa4G5MDLBjC/7qHV8NHj6BX1syD94ZAHkp5Uc+kO1SgfDPI/6/+NQKaCvKqxMEE2XNm3YrOeJaJM8f74JweDvJEwDQeCVBLyYYhbQyUsHUJdOCqi1NfaefOUnnih4MarXABysfP33gB9/PVBNrfmZM+HMEFPi9Mky7Q9IBuD9ENvIr60dKVZsDqjjvOVvUA+BHkMRrTO6Eby0N3Oc93guSga8DSQkyly8GfJZAaaJyuS2yD7GFTZAWQIyBQUWOU9NI9YRyJM/h29TOzmj5rD+mh1JPHOWwoVu/GUq2THvQB934JZz3ikuyUKEOEpmaF/etN3ylZ483LYDPtJbnxIm7Ler5NlqKbNbSOMxSX35qD36/D3Q0DmgNwIskG4rj6nfwsfPZmU/hTSKOcTEQSuRzpeDtuodNbp9jk+/GHpNMggkJu960TQmKdTF6c55ilN82jwm6chc2HgXDvDKK65EWQgyP1JyKLI71OVciDpB2QPkOtRt/9HUFRJz7dRRbxNHvNWT/4Gf5cdUVfDxSgYhcl9r/2ipOOfio0nNPltD5AnUFf7W0DagZhMH45/EUZ/DR88SIhpbNzSmKUL9UDagkxAwyFWgjwDMgZk96iMumj6WwqR+I+bpzhoaIBebRaAEji8vxkKSd4nPhrTf8pW/CTaFapeHZD2MGqh274mEZjovf9uNwNOQakvnBe0z/a0zRE47mfNUZF8sDV6o3hs8nosh6PoliHmarOVrdghSYWh0yhq4bPu6GozCfq87Qe+PpfW7s/DvHnQpEVaxqQ7OSRj3EUV8wSyhcLQR28koifpnf39NujNm9PJ8xyBntV6mJcu/UvyQeOm+4O8icaZVYA0DaavA76ByiW4zLHlHHM4e5oTLbm/cZeOJBr+uco31ATNgzUH5lcVIub2ji4Ox3H/cfhUJ2PZ2sseZxnXn6IgFndZRuzWSets8f4Wcxv/XcQ8XXeU+jwnG8cDL02AUV+WosPa4D8Gcm289KXnxNSZRruJse9PMGg5/OcoJzcS68TjMtS94H3o927a++q+/15O8qOTceFEk3wQbi59Ug+NwdoyeTmKQZMpdwtfP9pMUlS1aP2zUej1uR7e3xCNN/OFepbFt1dBeiUtw9JyGPYpnP5x0ptrpeXc5dDrjWAHIasEzvjG2vysUPQ5kcKnp29gBxt574Ci7NX39/vg8501phZovsYJWWOq5gQ6XTefaXlQF7kb0ZuSKSBHuDkssjMgQDqht0bHRCVz51so7zoTE38NHPNknLSWiEH9AXWJvB/kInh6pNLX/aW8vVgL9Db5IUs3PkTzYB5OTAlo3ff3oMluvDkiaTv5zpe1g8NWZSa+OYlMdFbwbaWbjSR63fmK3wUjGI3ecyQlIFO7ybWP5jPIP4UZtBTmfYImwb0EK0eWvREycGna+urc/wEfwdAF3gOgo7tdhAPuzp1okg/CzaVP9gX5KGn5ZdFznGVAhe7GoAtWNHLOor8hyFov9BMC0iGKHDg/7vnRB533gfRMmg6Llmo8JFZ3nidOeQ/kz7pxc/QC+AHkv4SQGwjkQpCr/f++rFxvHYK6qJYCLknf5jotD0gZmij+HRRc4Dx83DhY8/c3IKf4k1VQkJr0eOAkRavzmO/3DgpK9DPIL/DplzBiTe64G74G3rkdZCgaC9UMPdDcH2S8teddiSJLn416jEXifli6nzV7zNMXwtHrMnH2Md5CJqtYZeV6tW535Z470UUd+Or2NARFrvnSz+RSWhFK9w1e/zcMnJ1Gd5jS/ez4kD2Pj3vWbhDmGmEDPoKZVyTdB/d9lZtABkelh/5oeu7M3AlznM2kLoktQqjP9fVJyy6LnjooKlJoGcvRk/qrdAMbi0vVUpCtPLx/KcgFIbQ7jZBgeCOU7xP4dDcLmY5GaJ4jD0Zu6XnC+Rb85FYgf0fR2H41ouwDzZ3XJmt8fEaAmF+QI2HenOAuqqViHySVm+u0PSD7oElYl6Hon528bJDR3ENVIGcF0d2gup+WJ25aXbjzNgbpAyM/t6frlLfR28jpaMLwlegB4iTUxfM0kHFoTNdc9LbxbpC+FHW5DG/vbt/HntXQKVYX3ZQq1gSBEV+hCd82jcNH3c0JAZrUbDFIm7iUvfB9eRfkoCTlFiWPnX8r40D+kXQf3PdVpoAcH7U+eKCnHsinMOnErI1KqImiQ+DZVFJyE5BFl+pVhwAAIABJREFUUy+Ql73JrwDpqA7IYShs8BKQS+CctjEF878D4jp/EUztD2csDCFHWRs0piLxZI1FaJwOckgK6NgV5GNvv3E3TxSL0QDZMmNEvXcP9K3Kra9rlSY8rvlsjkDHaugyU+u66wT0cMH3zSzIi4Tg4ukc+5Ttwucvcfrv8bEM+sEg7+u6IefgEuIazWE0C+RyO8MLrj9a43j9uranJ2YxjbS6i8tyi/wqm4HsZxlHl1j7mo9RF8BKNC64OquOWSBXofG2DaPof1qM54QVy0mA48S6ZnxGLd8zF0fNrFICQa+2Z+Mzl0UYigDSFEXLiTyfVDTyDoIsJWeAXJV0H9z3VV71a+RGAYABcgrIC4XtJL8IKR1tJ8G49Xo7mZ5F0DI6K0EOdNePAlfTJTD/U5AP0FO7BlHK2Yb+h0F6uJdDnwVh6YNlLA5LWoZF6HsbZN8U0HE4yHPefxeO/qgRNeCjwrm5QjKf2cVHDl0Br/o+0AJpbRnYobh3Zvhx9GI4RnJdefwnTv89P2gM434gt6EQ1/eBHGpnFOX9bgsUye32bPmCbKrG2JPD8nS3nfMNZ7Eb0fR74KSR1uC3f1IfvUw4FnXhu82S9/dZdf4IY0KPT0uL22ZKBdixOuuasYHlxx0ps+CyDk6nIdYE8gB6VRlq/AOc+KrbvqEoOfcmKbNgffW/WUdhl29Kug/u+thmEoxdDUc+mo6JsubWSQ52pjeZiT0tBlwJ/p0O8nTp95zms+OeDXve8ED7VSBnuns33BM9kD1BFpKyIOMs+j4B2TkFdPQHuS1ZGuw2JNm5dZziIzs+FKDfD4CMjKYv4SZO/+ORmluIYSAfoTGNZ4H8qcj7G4M8AbOf18D+bi/AiCp4985cg6j1FKfUBrVhfaiNjz1fR62DmYHShFh75T+huRIHwPAvwt67p+XmqR6JllkVMGh/uHF7aAisBvqvhDeOEqmuAhBhrTFzZ8PqVvpOTVkNLFoYBhXGsDGcdTU8Pw467QZbN9W6Z1WIVFcZw9lAc+AgESSMNq12W8L2rbQvrvp2NPBwWO3HXZSXjTpC5cR8Hrv4+VqgQcQkBirGNCqHLtOy9PkYGLSLMY06uuxjVOVk4AsRXsr/wqLr5Ngp+rW0nJjhF+i/N26vOpIkXTnlDqi80JjRT0L9jeAbB71t0jR3HIP1d70w5w2P5XNge3evOtG/dVM/DYvwnjHMAIYAV/ipI+JSs+gkXZoBXyVLwjcLC9ehX8h89gv2ulG2uZdWdI5sORG22x5a7AmvjocXPVGaqaNJU/ux+M1CaAxckPWr8PYLv9ciwnLgOmP4D7A/MBCYbwxPATcBL2XPcyKsMWankXDYu/BkWWa4DTwYOkyHSc0zn50PLEX/rlkDNnpUa7o67etDrSv2e7G9/w1t7jKGZdDonuJjzKleBFhiPa8Y8/bBsLpXuHt3O7th2Bf6eYwlHRZwKf/MsnIYsCiq0wfrRmmS3ekwGjD5Dcifw+trtxeg23OKPvfUCPu8Pv89No+ODdEs7o2D0lEbH5ATQB5Imo7iNLa7Jw0nInl8c7x1SsOTliv44jSWlav7Xan4knw0w1TI/ziQR92965jE11cCVKv9XVAoa9/w5xHyZhnIFimg4xaQAcnSYHcSnR3zFByZM4xbBDd1/HFbEafeyOYgI9CQhk9Q9/otM98Xy/uY/9mEvM+GLtBHpPBJz/rwW3pAmqib+aClpcdYaRCI6GK4s+2G3q/DvI/JcomPhVdJC8s9s2Y9A71mhu1ehCYC+wRkE5vvylHEkfbB27FTolO/svffndrfMth2zKLlMJCZScshOflLZ5An4m+3KNrUBmgW8QqQaVDxU9omemxindL0pOUKPgwa4e1bFe41PZs2NJfLB+7etZujhiyHT7/R8ecPNQlNuFiRtBxt6FoHskGyNJSVK0BHv/eTjocoXIe67QZv36LIkCctgL/lIeP2rvRm+ISR08ntWCwrV3fZs5cnzdffw4O6a7Wzxvpy6zD6wNIQ8k6fqUxrw/rwW3ugw4PF4/+9gpxFGxpg6d5kkBti5VPSgnLJnEborYvrPBgu690ZRb/a3ea7Biiy3ehw2nKcBBY4bMz7gyzAgkQH+TfIuKRlkaAOdIjbCHA2eGdeocbSrzCeV+jmsv19aZroSfmtkzOP03VK7BKJ83Q9hOm2W5qCg1FEteXe5FGQo609fPoFDK32IycUnn0JyOZJyzKLpg1A1idLQ3p0P9cwPuBumHaOdXB4MxbKWuadQfNhmCfDSX8f/JYZTnjZbR0oyNPqpA3k39tjzTmjdT48d7n7m6eKgnFgP0YGf5/0vPpbfpzH6dnLQR6GIfPStM+xdK6RtdfpHlubSQvKJWN6gTwecp0bo4GP/W2+MyB3ovj1oQR6F0cWFNuFE+R8mDsLDr4Xxq6Bzk/8HicNnUC7PA1nr4gVx9/R4B04R42lXGM+LZuhzCZnwBxFu0m3zii9J0yHMUvSYHC414NfkTgPQV3TdkySTnvaxaA5hDYNVs9B9wZEZ7oZ5O9J8yOLni1AlqVZr+Kjw27eGrEWbrDNgYUiR7YP1t8aQIdxogeIxce8Ja+LveZHs9b4fZLWt9/jo3PPpBNh2Mpc3eq3GPpb4FxVltF0/Fpo/YVdrp7cA50OD0LlYpC2Sffvt/o4z0tdnwHpDgPnBj0EiUjf9kFTCW0XS3tJC8olU6aC9A25zltxjnMabi0QoaFEuUvil7sI6KQxZEXSm/HcfkSbrNi+vWQMEj8npX+g1/mlW9rjIZ9SWniK3qosAjk0aTqL8HY2Nrfr3uoIdmsAsi2alNVVrpgYePJnkC+TpSH5eD+QTdS9zZ1BArIHCi/uOnFq5rc142iOFMKe289RGaNJvgO5Bd68AUb+6N5lSG4BGZq0vv2eH5X7IQ/ojeXYFTDvE/jocRi5Hnq7lmWWTLuhtwwFoRZ/PGHJq1ii3XQc+jjoxhkgrxNS+oOibSXdWRfMCN1lD6QPznFOB1qnyC3C7UepJH41T7YrULqUNImNeZI8SBv/3dEc7IYgObplT1zG5iRDX41RPOIrOO09y3DaDE0YOChp+krw9kmQY4LVEUa8ilwLcmXy/Cgr1zQCY1cnedNZBKBjUUSxAXVBdkNdwm8G+RBktd7oixQ+tq5wV4JMDMb70sm5C40maYHG7y2Bvx/i9oAKZADInUnr3B/Pr/Iw6E39vXDBz37nFJA7iDnG5ff0FDsETvMBraVfj4NcGnlbSXfWBTNCcdnLKEOv1/Xq/99H2LS1DZqXpOC7cPqSo5ALMkn8xGEBSf5kMpf+1lPi3phDtxeT4kEaJwm7mz9rU3QYyF1QsT5NOuO+X7IdSFXcvPNex9094Zzv4fgX4Yyv4Z3bk+adC97eQMBkteEgpUkTazO8TXK8SM+YtqdltOiBWnC6rPWsG8ilINPRGM25Ok/IMJB9QTZwD8Ig9VAgo78E67fzumZnNFltW8lV5USPPNgdZG5S+vbHU0w2J77id62y9OFzkCOT7sfv8cmKf5ynMVDJG05ZutEY5Muo9vG/tpN0R10wIrDLnjt4U9kQve47L55+lbWDv60sTlN6bj6Uh93XxL0xhwEfJcmDzCRx7io49qnkDaeC4NllUPktyFsgI+DQB9KiM976Fm0MSnQwyb1TceJWgrfnggRKfpjpf48XYcxS/8anXAbyn+R4kZ45NcPTNpOg8yKN/ajKo6v1lNxkoq2mOAAMbYK6vp4D8jDIVyBLQZ4AGQ9yOA6w7G7HBshRIK+HI4M5kpvEdo7oXJ9rNFntGqtP13lvq0kLOH8d9Hg56lvGuF3aa/sTdCyCHGrp+ZZR0vnHU1QGB4C8nTQdNnQdbB30NI2sjaQ7WYIBobjsuRmkIDdZE3QoABHF6cn2/a4Jmu1YDWXt7N9Lwylpm0m6uNvxceh8kNBpAukMny6Evp8lzQNr0zchbr4XysCO/0c+mnknOp2JcnNgnWr/FNX4ixMmOW0PyN9AfOdqyqvrIJBXAvy+sbWpD013PLS9EZz+cdwHQO5oc7qNOWGd883U6Yvhvcn86n4nr4FcDXISyPZexpKbWE2Qe0GGBO9rWTs4Oa9ffQUeeBQbd3mQUSiq6YYe24lt/UzTWl1bnpBus68GuTfpvvxeH5CGIGtIIaIlyASQ50HqRlJ/0h0s0fmQXPaKu7+hPuAfgzSKp1/uN2FJAxDk8rBKCgN9e62BN661Tgz/G9amCPVxXwzSVnkwcLaeUibDA+uUK/Cpa3AZiKMeR6kzcWwOUFS4SJKphgOTnC43Wg98bQvyRkh1tSJgbBrIRSC3xtj/rUAuBFkEo79OowHsvCYUSya6SqDvm1judxHzcDP0IDNwUmFv65/sj08ErTgPO2rrwUrST9C1Ck0pMwfkb0n35ff6gMwC2StpOmzoqgsyXVPLhH/oW490lx7AA8Gr+WYhrAYaZn22Gli00Jhbu0LVtbDgA/jsemNmVYhUVwVvs1hp0jSXFizatm6a/6ZFy8nR0uOmfLMQGgPDgSuAX6xn9jMirYcbwwRgNPCOMTwE/EOEKi8tGNOoHFpOhG2awfa7w1H/FjloJlRjDDcDV8GFA0RYG2bPXJYZwM7GsKUI3yXQPs56vE1zY47cFVaMVd1quRBmVYjMrAqv7ZYT4cbtM203RP+unEh4+rkC2BRYGVJ9WcV5Doi3jiTK6J+h4W7GfPyC9iHQHFeNyihI+Rcw3xh2EmFewLocizHsgc5JXYB7gUPglrWwZFpGl1cDgyphVkVUdLgrsypg0P65dA1cC39vkPteQ3Terfl/9SoR3oqBwO7ANBG+D16Vu/XPGLYE7gP6i/BZVO2EU+Js67dTgu5vRFhrDL2Bp4zhZWhUX9eqJk1DmOv+KO7KO8DewLtJE5JdRPjZmNHngJkBz9XNmu/3N6ZRx8B6kbR1WMRqDA1lz/nUvP0xMHp93FfttfGUSl0tepZMkokmyJvo9SaqNDym9LR4FfjkM4BOPgrSM0EZ2PCodyXc/wiMWheVHuvVfLS5HbRv5y6HXm9EgzRWVl6Y5PWUX2A/17nTaqNrTtg0W+P7++B0zbwcRnwW9mkgSB2QY0FeQOMhxpIXE5GW23x7WWXT1coBoCf75imu2E95GaRLOHW5cqOvg6JE+o7V++Pm6ffzgIyHOS/Vtvn5t/CAjAC5KWk67GmLblwm3rkiAgk1MW5WvMaLMGQlHP0qHPNjEhMeXH80jP6ptgxytzFaefLzZES5TEQqIM0S1MkhILcnL4vcjV9UEwSKjvZ3kCUw8ovIJqF4XAJ3gsrv4IDH4Pg1meD8OZYud5npZiOd1o23M73h6gbIBgSMTVMe9q4MU94oYMJwkPkoeMpJxJDrI1rZRYvG54G3LXQOCMc10CWA01iQGUFkmHzM06lfpX1++K08IPXgrCV/GLCJ8L4tKQSNUNqic7VPs9teSC57Wmquh9U17G9vwH0HwGVkrto/B25HXSI27GhMo/IornuNoQ4MroDnz4NOu+u1/qKUXy9nu2xdYH22ugw6DQJetfuFqGtbhTFchSt3vpJuD99a/+a5scRangbGG0MdkV99Z2Itdm4OxhwfqsuIMbQExgBdgbuBNnDbT/BdnrvT+T/BVUuNoa4IP/tpS0ssLoEV0OJq+OUvcEcDbeNz4FZgahk0bAOr25S60k+PG63bEq47kQjrjGE9Og7X+KOp5US4oUWhvL/4J9DTS03G0BwYBvQDpgOnADNFEH+0paeIVFcZ06ijjoOtm8LXK2AdULVpzGtGb+BeEdaFUVlhv3L7YgwHAyOAfUVYH7ydBo/CBpvAuzOj4llun9ocButWwskNYcFlxhzf+A8XsmiLCD8Zs3ABNGyc+80frpMxlPeBXYxhg7DmiPBKdK72qTSejKERcAi6EIZcWk6Ef/2fMrMOysilwLXAacD9wAFbQb0PjWl0lEi1rXEQoJwCGOhwhUiHRDbg3ov/DVgxIwoakfFPrt69hJLXGE8bB+lJkCLCAmOoBnZHJ4yUFKcJokkzY9hMhOWlajAGA3REjaY9gOuAHeTX+K5qCjc8ra6G/a4EHjem91ioPNOfr3m08QLGsBNwJDAcmkzJtHU7cCERG20Jl9XVESwe1ejg9Wk8Ocn7oO7G8BzwlPV8IoJkYiEzugXVTdD5pAMqyH3sD2WiL3b0hbVJTtpYt+aFPng0aksVp34Zw1bAPUBfEb4Kox1jmAr8JMJFQesr1RZwsjGMgXd3h1u7wOM9Qo+1+KMUFNXTTTevnTGptbuIsMYYFgAtSVnck64V5x4L/ywLPcY16Wu13Cu2GpeY/rNhdCRX3nDym5mruxr0uAqB5wSOsVzSavJO9KwOF+K5x8swbg3c0DlpXnujPzzXn4w7X+UyGLoiU+8cgd6O8WeWD7yAHJwsL+QakHOTlkmhfuW7jPRZAO9OAvkapFuuHuYk2N0ApC/IByhqTj88QAKD1Ie3/usndjBDT/tFUbpbgNwJcr7+PzvR83ib63wJ5Uo/DY+OmY/fgIFLw4t5KiuHsSvgpNf953pymk8OvhekK5o24guQKnj3Luj/TS79I9bC/M9RX/tI0Bm98eO3G2eB5nGZE8RN00NbdVFo4YtCrvcikPEx8qy1JtIOd07LzJddZkKbBXDYDH8Idb+9fFQgo2DeJ7ru/TbHYpofkDtABiRNhw1d9WHBcuj4UNiu9ol3LtPJWOIetoCxK3MntSqB4wT6SW7bY6wNvZc8MHab09q/uEbRBzjk/sLFZY7oomCv5NZ7fZPlhRwFMj1pmTjrXi7vQA4E+RhmPV2YL2vQUvh0EchzaBJNXxskP8Z1rk5VicZyhD9GQHZC4zU21Ta7VmXamiBhb3DS9FjGxauaKDR4nFZY84DLmBcDsiv0e8deRu3uAdlY5SqN0fi85iA7gOwMsjvIPiBt0NxUHUCORMEkjkcBaPqAnAYyCI2XGoMmFD7f2nD/E+RK68DkBpBbLUN8MsiDII/CGamEPg9Rh24ipsMii+cv4CMvSzGDIAHjqT5U/BTmwYz9mKnZo7gfg7+F/YgNvzuDLNTxX1auG+WK9XDBL3DJoUnT93t44KUJMGRe2gxyNMXMW1HUnSK3vWjjHoyhLjAZuk2GQYdm2moMLF0Pd9XPbftCFJI74zpUzD1Dv+uSD4G7P8z7KIZ4jshdRzIuW02aQrPW8M1X0Ok2Y9r6bGvzxoWuOzsDW1eJPHxokR9u562d0MtLwH3G0EiE6oRp+bU4ucGI8IoxtIKr34L/lOfq4RVbwolPiDzeOVjrftzussd7Q2Ak8E/g/W81tiqY/mbGw/4doPpruH9z/XtSc3XTvQJYhobLXEe6YKuDF2PYARgPtBVZuIAs3TCGusawEbABUD/rKfH3Eefaz2V17zeGye7rq64Psyvh/AZQtwHIOqhYDnc9YEz++02a2OvWIT2B44D11rMu6/9h/b229PvLmkPDPD3/bcRZWDrSHWgVQ1uHo37ze4vH+EmntTcpFzkR1huzdims3qrQhWy7nXU+brS81Hqt8dFsB7SCnhPgqu3t9yhe9hOxxJfGVoxhd+A24FgRPlePYo43hl7AJGAI8EKCJP7mi46/HqfBNc2g4Y5Jj7+8cizwSBQVp8h4ijxPwsVAfdhnCDzSLDd2Y8udoeFehW2vB8p3MoYRcNls6HKT8wTtNCkNLI+iX7nG0oIVcMye8N/mUS0euYAbJ70FjxwcrC3fgXzlHsgOvYiw2hheAw4FpiZJi9siwo/GfL/UXg83CCGGzI8s88d7c3SIdpsjMjPQIm6zmdoafpwGi7/NGGsXWG9/DnT+Fjaf4yYI39rQuDU4PBonof29IbCDRfIrWQZJzffgy5jYdjd7Hdq8GbBt3vurite36zr4l4v237wCVncr1K1p94hclPhmz5hPesDq3QvpW5Oag5UA5RjgPRG+jLIRY2iGxq39TYRF3mtIo0HQ4z44qzdcvnlmnRxcCafeDguehT4bwaVZcRiD2xhzwwgYvBWwJ2qw7gEsB95XwAu7sfcL3vYTTZv9VvJRGUMT4DFguAiv5319D5rfrYcx7G/z/R8ltNJyomU4WX+nYfz9Gq/ZBTWgQi8pMp6iQ8Uwhm5ALzSo+CfIPaU3pu0kWL1XYdtvroKR/wD2hBX/gBsbOiuIk/G38CdYXTfMfhVuDs8HziUe5W05Ea5sHLwtu6SQrk79k755AkXdO4JaYjxpiTLBqx9ZRkmP02bqhK0L22wM7FsXLtvU+uPpwtuPnL/rEt1NR83/16IJg/3+fpDVyTbAj/nfez3ZrynGzJwEq3sVyqxsS4t3DwDPivCDn/rt23xjDAzaI31JbWuKne6fsQSub2sMbUWYmTSFAUof4M4oG7DG2n3ANSJM91eL09rbdBtdK3t2hQ02MebdneJDvNvvcdh0f+g0PxdR8M4qY9q3hCdOzJ2fbmgBF09CjYH3gSnAB2IB9hjz7iRYXV449mpAr35cXYwaC4TrdPjrvr8FUAVjaIDeKNwiwn3534sgxjAYOBD4pzEcIlL7ETjTWVKbIHo3699ZkdSetE9ixjcxGl9ckF2smId9vLXdsxrKDwE5BuR2GLe+mA+zc9zHcIGTQ01gWthWfIHvYeLme82ZY7X1efK6KruAVPmNEUqG5mh93bX+096HYVXu8yXZgVyEEefkpKN95haCDwxfBbcdB7K3FSezsxU3s60VR9PYiqtpAFIv7TK3aF8KslN8OjRsX5BhIC+BLAO5y4ot2ij3t/6C1NOeW8s+95ocCbIY5MSk6fOpR1uBLAfZJOJ2LkeT4dbxX4fj2vsDDFmeRHwPSBnIKmzAd/ysocVjngYsgspv4cpONoBATUAuseaEe+A/R9XWmKfcXJ0jquCDKaXmYx2HVQLdn09bPM5v5Ulrgmg0dvXqyOpPmvG5na0ZHMO/gFPeDsFw2hRkLkg/9213nw49X4EPH7MWj+kgI6DTw8WTuDpNbjWJOJ2BELz3K3/yjS/wPcmBUtNe8noqBkUD+2vStHijO9pNqI4TucYfPYPnwluhZCkvpqO5bXZ6GCoXg/wmgopRRMqXQc5ISoeszVqeITW1f9hJcWvDA7KHNU+cl3aj24b2USB3RNxGF5DPQbYMVk9ZOYyyOaBs/0xya1VZOZz9HfR5uxDAwt8amhl7x87Q/USnGZk57emRhYinQ1co0phcC7Jdpp5JJyoaYDoPI5z7nr+/6l3p7pBuyIrf29wTv2wGL0sbj9Fk6YdEVn/SjHfo9JkgV7oTmiPCTh2QR0Cud9HeFihc86Mg1SBPgQwA+b/ctkohRJWVK+zyeMugqXJ1quSdP/mTb3RoZYX8bjUF+v6U0GneZ2kwnixa/gsyKmk60vSAnApym8/fNgP5PnvM+afD/S0bisbzDci2SfMvBP5b6Hre0coioscypM78No0nkzHxoCnIuyhSX/2k6fFA97sgHSKsfzv0Zq5NCHUdCPPmF97+hecl4Y2e4vNPNOi1TgbZIQ/Y8Os6kHFJ61g4/StlcKbzVsSbLqUfVh7mzoIuT6fFIAfZBuS7KOfcxJnu0PGeIPcXf6fUBCXng8wA2cChja1BBqMwzdUgD4OcDLJZ8TaLn9z7h20uHCDFP8/v+3FfaA4b/8pb3BjNh5auEDh+jbYZz0BBYWwlaf20aOkG8nTSdKTpATkBpGCx9vD760AuD4cW97ds1mHN2yANkuZhAN5F5q4XnLZkNrFpeUA2AXkMZFqx9SUtD8huIF+GbYRnxuTx0+HspfDyxSHRezvImMLPk9k4u2k3bC8AN2NM2zzgbhj3IxzxSNIbXA/yNXDqh37mkCjnntL7pWBGT22BlQf5E8iKNB0OWXv7aMd50p106PgBIDOLv+M0QbWeAt1fgPN+VLz/nNuocpAzrNPZZSB3W5vghuHR7k3hi7zfrvTp1ZGP6i1Xr5nBJ19nunVwdH8+6RMckNtSZDxtCrKyNm+4I+DJUSBPBfh9aLdPHts1IPeB/I9a5l5l0R+5u14w+mr36W9IMqoL8m804ex2SdNTgtbLQC4Jt87IYpo3Rd3rC+aMpDafSRwWlBpjtWUjnidbg7p2vus36XBUc0/x/VJY+fBqx7yJXnY8mjQdeTQ9DdIj0jaS7qRDx5uDfFn8ne7T7SeoE/J8n0/5HGZeDvIOChxxCxrMWxDIGR79ZeUawzFwbulTb6cBctSq0qdXMtL6LpDPeHE6zluli9NZ38e9INjoxflpMZ4sel4GOSJpOtLyoAl5XwlYR2i3Tx7b3QTkI5DBSfPRB+2pctcrpK/2bdwiltVCkP2SpsWBvroWfbuEW29Um1gZCPKg8/fxg40ksekt7YlTOzbilkyzjCZ5T//vbw6Jzmh34ucECSsG3dkI7zkjaRnlyesWkOFJ05FFTyPUm6wsynZSBFWeUxYCWxlDPRF+yv/SGPaEHVrZQ27ulJfs9rpt4axjoM0g4FW7+sIumlSW54BPRLguQ3dhIls4qtwe5rHmyf9c4R+NYRsUo3wJmhPi+WBUO8FNfvYh0A5evdMepjhWiNOFoMkbJUQ4ZP/ltTfgzquMWXx22ImJa2lZBWwSsI5/Ah8aw+UiLA6BJldFhFXGcBww0xg+kJRDTGfmku22hxZ7QoMjRc7zBUEedclNsr3TzrD1dvBIGhIoRl5s5vwb4Yi5sNMrxlS+Dk/0SRkfOgJfizAn3GojgzPuj66DtsUpeXi0xXcaDt8ld4xlQ6PX6FY64aQLx8c5L0GXwYABJgCPiiBQTfH+2ZfSfPFbnPj5wYvwy0bQsE3hd1557ZTOY4e9jeEK4BKxoOyTKlYupU7AlUnSkVcOB2aIsDLSVpK2EotYjwtBtsn7rB6KXLQYnh5lA3X8Uy5IQ80Tr2+93c2T/QnIkOUw4keHU4oFxa/h5QGQi1FXkDOD05z+a3/relhIQXC/8qPfl3+cpufIZ0eQ+SEhqjnEAAAgAElEQVTUk8jtk9X20SBfgTRJmp/ONCY/FgPwty4K0JG62Kzo5TRHCtNWDFqaJrmhruyhnyJHcfNBBs0wdTeumRuvwvCBZOhx4v8BdyfLo/x57JSf4eJzSbn7dPGwkY7V4dw8lZXDyB8K5/lh+4Jcj8a4jiPEsBPvfJAdQL5Ok7xAJoEMirydpDtahAFvgOyfJ6SZIM+D/Fk/y76S7/cODFwW9gTtnW6njU2rKfa0Hfik15gnNLbkUzT3TF+Qe6Kj2y4IMhlEFesqX0D2TV4/a48bRIzyaQKyKIR6minE7qEPJIEyBHIB6gZnCzYTTZvuA4xru+5RC9G+PPZvU5CDoO9buXJycucZMo8UBFtb7i7LQRqHX3cUCHNyDciFSfOtBI3vUiTHZHx02PF/+Br4cGpSxqfzPNaxOmlj0x8/a/Z5c0TT1GR/19Nzn0COgXmzoa3tnsvaE09GLxqGgGwQFTqfTb3t9N+Bc2FYScj4+OQi9dG46W0ibyvpzjoLauTncNpHKqAXzrOs7FHYJNND4YYXwdgDkj6RdZ4Qjvkx97Oa57gXnIySzOc9Z0DFWthyO5CNUcjuw6y+7w7ycTi0d24J49drErrk4SYL6bu/t25ATv0gafrs/ZGrRKHq0w0rGh1PNDFk8HrKypNKbmn1ow6atuC6eNrzCjJTu9Hr1LCQ95Omw51cnDciaGxGU+swaxzIgyCVaHLU12DkV7nycUpmPmYpyDMgmyYsl34gU6Orf8z+UPFDGIdvIBtZewLfdcTE06dAjk6aDqUlf5+x/19AnkVvG2M3oJznsXG14iAow8+xaxW8Kxsev8o6LKlJW9PJU5ySNbe8A3Kci3f3Anka5ldpwuSw47vc3KCnw/PBsgXeiqWtpDtbWlCrRK8ur+jowKxtUTeQQzO/T/J2xGlC6OYLLSarnx+D7INmC5+c9Xl9kNWEkAneUrxUBSPm6sWpXwUZsF4h4YvXlUyurTQ/atxf8EtQ4zsNNyvo7cE8kL7Rt+Wtv9D79aT5E6y/TVrAuDVw0mtpPWRwcCn6HJ4Yas3BT4N8a23gn0MR6v4G8teajWihXJ1ung64G3XD+YgEXJIz899Zy+DEl6KQh7bR82UYsyTY3FBDa/9ZcMbCNOpOLq3DKuH0j9Or59IgKQOqOOhC7TgIsnh4G8iQ4n3y6rInx4C8j81lgfNvuj0XDSiL23nMXzvhwbq3mQQjvoTT3o8FGCZpxSstKGfBWAP/bUKI+Yme/tZTgtyKgfwL5F4UMXDrvO/eAmkbnHYZC/KvpHkYVC/sf+8PEt59fRWhTii17QnTLSctNysgu1rjba9o23Hqb/fpefQYkAv1hPGUz2ujoV5b4rWc55uRX4CMtzY3zSji629/YtvbNsG4Jdsz0PiBvX9L8gjSRu7GqtUUOKkq7boTF1/DozUZA8oyqKtzeTTGGie1Z90E6YOVl9Re7qPWw8T2HuqruXXq5o2OaNbNwnqdbtC9txPGOEksJUHSiudXASwF+59lUKQoWK0U/r+/WzGQwyxeDLH57iaQYcFpl6kgJybNwyB64fx7p81Q28/8Gj258jxmkT19w6pA9ifrBCkqv+Rk5RPebVEabp4ytEgPkCoiiAMp3d+KtWj81RboDfOt1kHJVknfsBf2obRO6yaty9Npka2DvOvoXDtmSRgbhEI5PfkO9HzFSW4gx1kGe5d4+hv9WPPbRm0+oErTHOaO3sQMqHbQcZW66k0QNZxOqkp6PvPIu+Ygi2v2oYVjfto5qHeUq1ht9GDmAzzcOkWpc1HePBUJc3kSde8+ylqD+4EMBzkXZCLI1SA3g0yG0V8lMdZSCFXuBM9YAIk9GNgH2F8EiYu6UsUFNKZf2NQdrH8fsPnuPWBfn/UCv0JO7geMClJPdMW1XjgUJ2jRFuV+IVyzYXCNaTvJHsr9x5XALUBjY3gMprwGXcfBDS2yYGz3N6ZRLYduDhMK1w7q99yVMM8RkjiqIsIDxrAPMNkYjpRIUh3Y9XfYIqj8CEYPhE3HQ7860PwDoJ0Iq6AaYodgti8KN9xlWh408/7GXDYQzm6Gziv7ATvDX39KJ2QyjYC+wDDgB1hcCasbB03NkDtHsBPwChz5ZxHW2b/PFGP4CphqDNsB/452fdvmz9HLw+/c0HJiRqcA6pBG3bEv25bXHlpBhLXG0AV4BLjTGPqIEEfqg69gk6VgGsIvwD3AmhiaDa+I8LkxrAJ2BubYweMbw8fAk8bQW4Snneqy9mETgAtF+MUbJVFB5OfXewIwaD3cWD94O05zwy4HomlPVlkNrMr7/9LM/1fsAg23Kawj4rGWtNVeaIm6QX2TAyxLf4ek6Y2HJ/InqFyiCWv7z7JBXWkN8l4wnnd6GMatS8MptjONfT/L1YtR62GYy9Mcx1OZopDw3ugrlqRQtgcZDWMW+W0vzTdWYZ965Z7eHTgZPn4T5CoSuGVGUyRMA7k0Wv2u6W+3t+DUPIjaMQILVoLcCNLCX93R6I2z7M9biXoGjAZpq6fb6TqRB9kZ5D8oQtN9aKJnExE63BVudcg6zZ6FIhPWi6jvTeHs79J785TvbRBurEWEOnWYxvTFQ2uY4zv3BqpJi/x6w55L0jYfBODbr3FPRd5pC/ItPDPama+nfgDnfA9bbhdMF85dBZ2fCBdt78hHYezqXLS9YJ4Puu8MJv+kdChxpSuuALbwjE1Rv/CjkqYzPn68/wAMWVZkY94AZA3Ihv54XVt8s4/YVdEAa/Ri5hUg70DHXUq7DHmJeTp9cbCgRecJxa/7YdrlZE/f0BXQfPtw6pfN0YD6c5LpnzRG3fd6RN9WW4fF4JCa3G5L0VwWLf3JJeyYFvc6nQY9RnNNdbUM4kUgF2EDbRumayTIhng88ENBS54FeQKkLGQe7A7yOcy4LK0xT7UNlMc6ZJkI8hXc3TMOPY/IyG8Ac16GYXnxSCdVQdeqcNtyF++Z9oesuKfi713WAUavj56vci/IySH3cQ+QD0Osb1uY/zkMXPJHzFPED8gGIDNAzk+alhj73F5vnIpb1tbG0nNge206+bEWp5/51bdYDLx3Lwxf7Wbg6CAbOBsGz7dH2zvuBT1dqfwO5C/R9MFuQ1AhGjPlGCvSGE6YnnY55fLx4Ht1AZYpIA1Ckv82KEx/v4T0by80HmXXaNspboyg+Xhq/OingrTO5X/2iWb6YlqSiteyDOBz1GiQ10BOwseBk8+2/wYyzcfv6oP8F0XeahYSLUdYhtyJcckjSzdfhLEr4e6e7n6TDygwwDKgOjvOl0k86KHuSyjy4lZe+BrkNie6OJcDJzvEYYbaVpF4zx9ALq051Eiz14Ul/+ZkxT356G/IfJXzQS4JuY/7EgAGPFeGnR5Ww0lGhzH/JLGmJK50HoV3PcgjeAykqw2P/cZHNtaBVBrdBOQOkP7e200HspkHHVhPVvJShfn1snGTy0HOKtHGIBTtJvQkqbmnJE4nqWMPADkZBQKZA1INZ35Xm+Rk8XEDNInfSyCbhVTnX9RomHJaEospmpR6Xlj9sW+jZoHNzhVSIdBqSh4tDUCGglTBnFfhtK9zdanPAuj9SdR6Y3/yN/onuLVkjpKYZLYX6lazDAUZij1pKciLICf4/K0BORvkS5A9A9IxyDK6A6OzBqDhZPQQtKQLLlz9D+j8Uy6gQHpum6z+HGbxtAKPYAtBT83hbzPtx/dJr+Xz14sB4rwvsNuL+J9LnPt/fjsUFOB79bzp90Vabxyz9GAByC7F34mLr3I8yKMh968dyKvhyXngkrTJ0FOfkibAg+D6gcwl4USC0fTNTrEGfaebJxHoNdPFzdMokP94b7v23DxZ/VxRs3FVvrVflElEVyWlJh6XxpNBjfTLopN3m0lKu+0p1Fo04eZIa+NXz8+NVRoeFL3sGpAPYUTrMAweuLmLbs6TWUzROJRHiegQR/Wja1WhYW2PQgVSH3rNsNelzqvjGN+FJ38PnYLmQdojHpnkbwx32RG9WZoJ8gWK0vQn5/ej0R1t54hHNJ603T0BXXG6ozefnX38tg4aczUXJBRX2gD9qAsymxKu9ygU/BK45shw4ivCjtfJdtOT9j7p8BVzC7InyL16Q2Mbb7jK0pVHQM6G24+H3pVu58y4bkhy+WEbprEFnPZebdijwPv3QZ83i4cPxHXzdGkHGFsd5vwG0gHkeX+/dep3qylpvlEs2qekCXAptH2siWDneNuNa4F1UqwJAtLcJYjGQSCv+etjMjEIfviLxig0sad7jGVUBLt5st77Expb1yFkXa6PQpef6QUO2d2NVfgBvSH12Whsxaj1YehZ0gY/eqP2Ksj46NpoPcXbjarTiWanGcmNb+kBspCIXGAz7TjdfM2ZgcY21Sv9fq2JR9kfveVwnZoC9WB4CL0B3iJqubukqRvIu/kHELnz1xlfw2uh5B0MWxbYuOn5o2OczZgVhzVADMghIM9Ya9MYjQN2So0izUBOBLnGKzCIPb/sYnOivz2oDd4xyq/Tvy2lX+75GkQ3y8qhd+jzGwob/lR4MqwS6LUmibUpFJknTYALgf0f6qPuKWFY8HbjMyqcJ4fB83PpcT59Q+MgVuEjR4PWPeBDGLogNn9R30HEsgCkRfETnJIxT5+66SdIJ9RVZssA+tsQpCPIhSAvgKxEczhcp/le/MSKON1Y7T016WB8Zz6EZ/CkYTEFaYKeOB8dTf3e+liMvwqocv466PFS3AY1yKnW/N08ft0auwJ1scx7xq6I5zYuqngU2Q7kY9Stqeh8D7IVyBsgdxJTfJfLPhg0wX33zGd2a0LvInN56UMikE1A9oPer4c3/wRx03OTM2eO6I1UTd+atECNzTdBPrHG1IaFvAgXqMiu3tzPMnEr0eqK0zgaNAdk86R1uTiNhfpVmq9BwWmK0+L3gBU9iJoaHk21J2+bbZ+SJqCEsOpZG85QA9/8CzsawTq3dcDdHvk1nxI+t0V+OwLkurTzF3X3aOm8GPT6CRasQm8GrgbpDbKLLkC+jLUrQR7GJUQ2GpTe1frdmyCrUf/+f4IcTVasjG5qR63zTpPjQviLP2Ms+luqMA2epG+esmTdlohSJnjtY7HDCGvj9WycvMnj00hrbto6Xt066TWQnQqfk14LSxf90XXOSjQYviPIRj55urm1Nj4C0tDhnV1QgJUL3M5fMevFEagRWFf/dqfzzkbWpR3Q286LUKCaT1EU2ndh9DdBZY5PN73iOlEl6jFR05c5An1+ye3bqHXwyXtoAmVfrsK5vK2JpRwnaqQFugndFqQSXr44qrXEXt59P4P37kZdg0eA1E9Wl53G+slvElGqAe+0jFoID57i91YKvcW8LzwZdl8TxzwcGZ+TJqCEsK5Ar6hjy3httbsZDJoXl2DhggMLYzhO/dIb6k5ZOYyogv6z/UxeaHzA5Ph47BeyW94G2bf4Sbtsjvrnno3mbvlUT959GWsbwtxZenJZuDCgKDvZ4A4rLJ2tADmYIkhzIDfD+/d7PXFy7vux37rladzumuHePEVLu7fAahmMIl1uEi6/vPfR6fQS5C6QwVHI1X1/pMLiU+huY94NzXiMb+d2uj6D3kTPRG+in7Xmqj29bI5R99H/oeA2TfO+64Aa9qHCFYesEwbkFZC++rfTmtB5kTsEybErUfTJi0FOQHN41Ssui6Mec0lrjZves3hw03OnEzU3Tcf5joEq3W7NfDJHFLGwQjJANF2rghlQ57QNyyW7OP22c1tLkKfRW+UuJHRI4Kxf5y4HqUbTIlyEHhg4gg2FcaDpTMspb8NZi/3qFwrHfmd4MvTmmp62J3ECigiqJ+qi5dtlykebrXRDK8tgxGfxLLBSH+R1ePkiVagRX8GQed4Np2CbSdQV4blo+Jo/Ieyxk165+zJmXlajxFufocfLbg2LQtpP+Ty3ndMXw4dT0UD0b8kDd3DJ72Mt/W7kj592fW89RRfHGoS2GnSq/JNbqQNHPRbnxBV+zEGNTp3+MYz6IlzDyYteibE2sPeFvXCH4cphzS/fY5PHKM7H4tPl6G1syDmLvMosPTFPaC6nrmii3rmWwTMZdc36s7NO5KCynoe6Ru5u1XkqGht6cJIyd6kXB6G3YxuUDqZfJYq61m+R17ncXhYDFkHlUpBDi21aybjpjSMgSEwpnYjSJVnb3uuLwnjZ0ZKP5Omt3uQ9AUAOR5NKTwfZO349LnrzvwUaLzQRRd1ciR4k3YSit+5IiIm5i9PiX79ABoDcEgfP4pafL/qTJsBBSLujABGtYmhrQ5Be6Cngl9YEubUX/+uA7V8C8ri1uWhtTdKe/HjDsOBB9gZ5L3z+2vFx5A/wyIsKpZxjlHzrwo3uGZAjMnW721z6dxN0+t3JNS5BrjfMGXpPfEUz0N/R3e1vnevK8ZtuByfnuwGugxaHordg56EJN7+HsbFfmcO/DlMUqFARgMpQCGrfp8FB9QRkI/RGdExUvAvAn44gbyRNh0WLsTYM0wkp91embm+GZub9QfO9HlZFS5c0BzkNTXK5BI1xuRbkWOjcssgGraf1/juou1qkIB0h68UzIIPt14rRkouiukrgsO/9zeV2c6a0h8olakhlt9trDew1Fd64lgBueg50tIPDl8GJayy3uXaZ76I1RJzjZdsv8l+n04a8W6zuV6hb5enWHupOQsqL5kGursY6eqC1N8hw9KDkcx27o74M1zvD7qbOv36haTE8Izq7o/OsZdD9+dpiOImk0HhCXa4+BekVcTvbgvwdPaF7DvUntkFlqlHAM76GO/4Xpl+vtbH5GkV2qwfyntd+K43BfUc1t1C4G1utt5h7XTZ/j3rMSk5bNAEp6pbhOX+M31OOsE4Ctf2uVWG6S7jn9fj1aND4lWj8y9aF70YPfY6evIUO/47e/JwZTl2+3Um3teaSQ8PuX0DeXAdybtJ0ZNFTF+Ru9MAo9DxqPuhpid58pDEmqA56m30OyLRirseoAf+F9fm4pGn32M99LAOlQe6a0H5RruFU8xwbKoKkJkZ3uvEavgYGhpYXrPTNU9Quycc43Np1DmA8Oa075ywDOSzO2FpLn8qsvd13qAtnqC7VEdHcDPrPCmOv4V3/Rq+HS0quWyBngISCfmlT93iQy5OWgyeakyYgj4F1QZ4EuTqi+uugCGpTrYH1b5C/uvvtwH3CyC2TmUhOeAXGrYbJJ1m0jdYF0tsirnUFQy1RmtzngPBGn/vNKEg/mDcPDprsNNGC3OPVwCzkfRjxRd5OgzSfQbjuEu553X26PS9qJtFXBY6RKBNRorcOlSB7hVVnVt3t0HizwBtgZ3kfVxJwAeRQ9NRz27D76JMvdaxNqas5Lka66qNAB/cpkEt8G6tCWsrK9Rb4pNeSaN8brd2n24/vE15GQWnuBdkVdf+7nFqUTB4F5RmT+5nbg7eg6GTFEpeG637mZj0Js2+F7Tt5qbQO4LbnZPA9OhDmfwbDV0dlDJbQqW3ReM+FIP2JOXY+Ct0Ip518/XruTGudKHpbDTKWiMDbQA4AeTdpGXiiOWkC8hh4MerS4Qs5xemEA2QzNInsPBQm+nSvpxHOit3/Q5Az0cDx3ugN1mEoEtceINujcLGbwJbb2U8yZ7UBWQqyk/c+d3uhELGnxu3ALQRldIPWS90qv6HVJWIEbgXpH59OhuWHHL67RFA5at9aTYGeeYcCY8QuVioYbbKvNf5CP+FXw2x+JXR5OngC3ks7FB6SDFhkQfI+B7JfCVrORF34fKGohcyXfUE+TpoOB9o2gjmvwtAVSWyslIba5XNfBCihGj1pr2PxdksU3OAhkI2TptulPuyKxo+WZT6LKzbNia8TrP+HefKfbJoF5elJVbk8tU++7b1eOzexdvekIB5qXzRW+kOQw3LpTVM+xLJyzZuViKF5ihpQlxxaJPZvAsiFEbVfHwXbapy0HFzTnDQBWczrirod+IpdsJ9o+30B701GYyLusaxbX5s350lv6GcoKuCNIJNQiNTnQF6zBusCNAh4NVzgACU98guQC/zRVTPx18CP1riEub/RiD5INV8uo9ZB55bOfcnnT/apnFwLMtxdu+FMjuEE7ofvLuGO16UQ2optHMLcNMiV0U28ZeUwaGlwA1fq6ridfr5NbER99NDlS5BHsYLzbeowKHjEbVEYih778w8SSPPgnr6D7k1yY5WGQHdv9NqN7zEC0862kf2G6Kn7m0QEER9+/2QSyPmFfY7mFqY0X4snXK+tOqf97fcODP/C3rsjzLUz+Zx8lm4Z1GX9U5j9gu4N03VoArIRfPoNHPNklPru3P5zZ6oLn5NLqfwD5LwI+/84SI8kZeCJ3mSVpWaQnvQ6VKyFm7v4r8tpUjrt/TAWjzAmPej2ov1EMnYNvvN9hIG0F3WQav4C+O4k9FTU5L7nNNGe/jFWLhOQy0DOiZon4et6+O4S7njtN6ZrXIjy/9V9zFcOsrj0F+QsFA3J0d1JFzgZhcY33YuNqwOamPMjkocHnwPSOkka/OleXKfw6djYeaO5ZnwPmK0HHFUCcoiD/A2a4+kzSsSSpuEB2QH1wAgdzt4dX1tPgePX6OFjjeEUBeR2PjhF/GsTiv5WgK4b9tqZBmMxr98bKGR3emjKom0YiCvo/GjaLy4r9AA0MlAkNHTlxiRl4Ine5AQV9iCNdiGM1kjpFggiPLOgDv8CBnzoLw4rv2/e8kx5a082BHk93why5s+oL8nEqN0Lr19d7GQsDa4C9jzOd5cY8gN88DDssmNef9rF5VLgzPOO1eEFKctBIB9E14fgYx/kr9bGrYXL9zdBfcCXoLdMeTooO6A3zm2T0Tf5CwpGk9q4l6Q3VnDg5LTNEy7kalD3mc/QJLiHo7ehjik90Dx0i0E6Jk1/6f69dw+cPivZGLiob7re+i+c9l4StwtZOtEcZGHh53ZjsiYPlXeZ2O8thv8MB09LTsbF14skXPqsQ7mvQEIDJwmfL3IdLrx+AvBgd5BPk+q/Z3qTE1S4C2ccC3HQidV+IhkW5iZ1PzRju2d3ody+nTAdPv0yyhNAkGZocH3HXBocoXgtdES7+K7TFsKMS1HYz9lw/s9RGtLh6U+7v8Ksp2DEmkx/5ogN3HiEyWvteN73ZzjgqBBlfT3I2Oj4Gmzs86u7ngz10bfN0FjN79BcPU2zvjvaWhCbxK9rcg7I9XG3643G5G6IQbaBuR/q/JueG+oSNNe44r1Blns7eiI8tdi8bx1gfAtyWtL9KK4PfT+rLfIIIMfpWLE3CdJg0HxDm+d+fkJePkS79dbroXH2utd6CvRcnKSMSwORxD8nkfCtUym+WDT+F+T0CHlQx5qjYtOFQPQmI6SycucYEH8bXAtsILHgY290tpkEvd5QV8UwYVDFoDkDdguhrn+hsR2RxW2AHIK6PzUv5I+9gQr93rUf4IPmoBmwW6Xx5smZBwfcnUvrBImb9kKev3EtGq8XOHgTheBfDLJdtPT3+9Lv2MeFu56LOv6Exj5+b/3b2Pr8ApBXiRmWG73Z7RRnm/5lN3S+uubGdsq7n2XUnhvHTUNING+BAwiEZVS9CzKoRB1/QdOAXBJE16PrY7pcvCKSYx00MN7xpjAeOsrK4ayl0Ocd5fseO4GcARU/uFuP2t9fW2VcDDQjTvoy7XWfrsjLNx2TvE4M+q5IzNMdIH2jpUEmp/mAJ/upR8zFmEbl0GUalG8Fq4GGWd+uBhYt9F5fy4nQbRcw9eHwx+H/Gmo9sypEqqvCoz54EamuMoY+wAxgpAhvh1c3YgwPAj2AjwJWdy7wCjAa+FdQ2uyKCC8awxXAQ8bQToQfLHmd7Pyr+g1ydQb0728XiXAngDEfnAeDWsON2+t3q4FzV8Gsiij6Eaxs1SS3P79g37+tm0ZFQT7PjcEAE4EXjOFQEZYGqL4DsECEz4JR6Vx0TE27BsYOhq+qvIx9Y/grcA7QWoRf/NPAEuBMY7gKGAfMNYb/AFcBewNXAsP91u+lGENTYCfgpWjqr5lzmzSFbwLNs9Z8+CiwUIQrQyXUphjDyahMThXhMaiGovNN8sUYtgeeBB4FzsnXUxF+NIa/Aa8awysizLarR4S5xrA/MBW41xj6irA2avrdlyZN4577Eig7AMtE+C4pAjJ7sAu2hIZbwuq9oOJEmPMSNDoaBt2UWTvXYy+Tdt2M4S1gmvXMEOGHTP1O80NaZLwG+CdQB11zf6gDdx8Ozx1oT98h3Y1hL2A5sMLjv6tFkOwaMzLI3qMMusqYMz9Kbs9a/S0s+AW6PwoNymzW0Q2BHyMm4nl0z3BrxO0ELrEbTzqobtwelgIXABeSpTyVXja4Dgq4MzzSMW1GU17pDwhwSwR13w/cbgwX5A9YL0WEdcZwIvCmMcwU4fXwSMwpVwKt4f3bjRnyU+kN2arvShnduiFr1BEqJ+qkvGQR3LYHXHsUcH1E/XBVCheWtSty+1OHMA4VghTLCK8Zh0ENqJ7AvSGRVqR0bAodbxThMre/MIa6wP+AC0RYEAYVInwNDDGGy4HxwDzgVqg8xZgL9oK1PwY1OFyUY4EnRVgXdsUOc+7+xjQKMueuBBqFRaNdsWR9CXA80N7JwEhbMYa2wEPAhSLc6PSeZRidA0w2htY1G1mb95YaQ0dU718whi4iLI6EeM/lm4VJz33FSkiHBntDeAem/krNHqyGzw2BifWg0yKRmc/nrp2LymH1doUymX4/cCPQET1oa2kMr8GMd6D7yXBtM/v5IQ0ybjkRJjXPo+HPcP54WLMEVm9bSN+bT6Ab1k2BzWz+be7w+abAhsbkG1Sn7QAT/5wrgxu3V77He5iT0evd9oGGP8KMkQ56vSGEv6bklopPwFxrzJwXYlgng5X4rwazg9Ky4bXbL/IeQ+QmiV56cPyta8mtLDcmW6jjEOoPzXXPqq8rSBWRxj8dsSuM+tGN25Um3hu+yquLFsiOaHB/6Ela3ffTzp968Bro/3NSMYwe0zAAACAASURBVE8udOnv6sLXd0+v48lyJ/qerDigXF6ENz5BXgA53ONvArvruWjjr/DhY0HjBjy2+QxI92jqDt+thQgz11v1N0JhcF9M2l3KI90nWmvFES7fNyD3g1zr4t06aKxeJSlJouyc1qJjJCidwWnzlQ7hCiKM/3RHg5fE9e76DbIpSBcY/EnxuJlddoRRjnDYSfc/ipgnNM1FYxREaG+QDnDaR25lkBa9BnkC5OikaEnbnj7+BkODFS4rV4NrvGRBtlpP33nQuzING1AbBbwL5LKI27gS5KIQ67uKCOOfvOgEyBEwe7qfOAWQnqjP/6bJyN6pn20fy+tPu7TEYeiG7I1rYaQr4zbvt11BXiz8PLwFKjOhjlsPHR70oAue0PWikXsUfvSyGUg1HpOAu6/faeMxpBKfKSFABoDcEg29sgMK2X49PpOvx/1YRtB5aN5DT4dslvyrQFzFT4D0Q4O02yfdb6UnPwbtvXvRHI0J50wLCkpT06+zlsHx05Kd0/0kU3e3HrlAbBsKs19Mcn0rDYwQB+Ji8rFfXukAmUaEiJ3OtBw+NZXpZ2JvMBTI71JJ7TqvSYNi2ihfB2thaxhxO75R9xzq2wBNtnhGNPR6OQmTg0FeDtCXG9DT2dgX49qYV0bp9jfRo3mQBhZ+Hg6gh9+5hADoemmXO8hJRIja5KwLQ+ejycjvQ4FgXI8v9Iblvgh4cSgKSJNovi2PNNcHuRUFgCi4sXVZxwFWv1393uLTYiIOBvfZlwYgHyQtQ+jxkt8xnLaNX5T0OM8Ph01B0zt8A7JnsrJMXh5poEHp8LT3egXkwPhpOe8HBVdL154+9pin3HiUlnvBxg29xyjZ+exeiAYAVlXCum+hYdvc3zQEtt/JGIyI/1ggv8UYNgJuAIaLsDri5t4ENgZaEhw4Avk1/mnBW8aM7gT1NgzXH3X9Dx78oNcCDQI0Nhp4HRhM7PFPafD39lOyg3w/B25Hg2w37GhMo3I7HTCGJsCJwItWLEYLYHt9DmluH5TbbFtvdNnNA678xs8AfkDHYwwlVrl3RQEBIipjX4HzT4SL6+XGqj7SCa5bBvQGrgPqGMONwJ0iLCtR6UqgLChluTEpZZvA+HJocaIILwatO45iDJsBD6LR7AeJsMpPPSLMMIYb4OP7jelfpbErzvO1CC8Yw8HAExY4xQVJrJF2RYS1xtADmGEMb4rwTtw0GMOOsP0e/sew73kqklIYExwmuNasChi0f25M5JilcENbYBJ89AYMHGNMcLAZvyXa/tceGrRUL3Oj1zq3DtoZvr3KmPmfREOr0zr54oPQfDv7PX2CYDJJWW2WJbsVyHI8wvg6W6idFxWHmxxbjbpCXGOdttXPrTc6n0oUsvjhGHkbsuteWTn0/yZkX2ADMhIql7qtG6QlyOyAvEkk/in3tKlKNJN99zWa+yJ5l1JnumvGk13Oj1O/gufOROMn7kYhspdkjb2pli4OQRN67lAIz15T1/nrrPdPAGlQmi7vNzrE6K5nL3cpqt8B9Xojaz79UzT9qBk3N3cpnk5ADMiBqLvVMjSJ8L5F6m0H8mow/raaAr3W5PL4lKp0j6vs9eawKTBvHpoIvG7wuptvDyPWetE5kP9Db2TvBtkoWH9CXz97gCwgLy9R9DKSDiDf69x3uq/8RLXV48A/zwrd3kBOUx4OXJL0bcsfT42cpCnMXwCDlhaTSXzrV7E8n+lwc8yhNwUCfAOkg7ffuPFZdUy2uivIOJC30MSWd4AcB+13ju4qW3ayNmzNYuRryK57Tjw/4G6f9G0OMgXkbZDt3foZ67uyIAT+JBL/5LzRS+8ikhlPFWKvA8MXgFyI5tlqB9IEjZHrU7y+/P532Q3kFJBnrU33HZbBVS/zu+zNWesp3nz343XXK+xz1H70cjQBXFpL1L0x6j41xOPv/g9N2LvAGuv9yXNbBtkD5INodDPcxTUsA8F+DAxcEpZeBHC1bYC6Nb+ChzxvcWyw0EPPosmAQ2zLoIlLF1sHEjf4HcNp3PjF/YBcCWd/93vnQ7IyyJ67Oj6khlPpXHfJ5L7KpUU/H7AoTXumFAhUxuMRacnNRO1mogP5M8hQkOf01Dt8BbEm4edBRsfM15BR95xOzyrWo3EOfXB54g3S2tpMXQOyocd+NQH5JiQe3QAfPR43gkttXEx1PLlLbG0ZxiuKGaalJ2zZGmQkeriyCN75H5yalwi3axWc5pjUz0bekaPrJSsjuSWKecaaS/6H3kj42rii6G5HWkb1d9bY38X6bjuQz/zVWzOWxtvoZaFuBuOD7xi7+iiQwzboQdqe0PWZKOcATbzpjx+WrP4JMh9kR29yiKY/Fl0bWPPBmLB13Kadm0BmWTr/MgGSXKveDFuZpo1fnA/Itjrme86Ieoz+8TjJwG7uGrQ02M1pt5iRAT+eCT1fTgOQlkgCMU825XFgMhqH4Kq48RctnWwVRPgS+A/wH2O+eAca7pX7Rig+lScBWwDXBqzHUxEJNWEuzv6orz0CPIvGWlxrDHOAJ6znfaUjJxahDMZvBy0GivCQD0LWovFcIZR9roJ2H8FzG4SYs8ZFSUuiQPdFx1zbabC6lwu//67A8yKsKFYfRcanCIuAfwP/NoYd4IaH4JpmuXEDk5rDmSug7/PwSx27eSCje9vtAC1aQd1OIhN8J8MNUmzyxNwILQcFTTar9e7+d2jfA95+0piZU0LW39OA1mgiYfFTgWhi16eAp4xhW2AA8LwxzIOXpsHz2xgz20duj5qx5JQf7f/ZO+94K4rrgX8XsEUfajAaNSr2mohRUQQVFbDRQUW69CLlYaWKCf6SmMTEkhiNqSJiidi7IgL2ikh/8ESqCAoCStHz++Ps87bde7fMlkuyn898lPt2Z86cOTNz+lnuSoP+H7fYlXrT7HNv96y2R9b/1wCX1Y6qH9UZYFnUggMPCxqjY6/V9ZZFFTDdsrhEhOkO4+wKnAI0hjPOj/pME429vRStPfiGCDNN9V3zWBb7oHFnG9Di8DcAp0qommkb9oGqTXDRk1Bvv+TiW+J9MufdaecCm2DP44LSpMnC3P+dj9PZ9bt68KGHuDs33u/Y0zW2kv8A00TYZh5ufSyLo+GYw+D+g8PtRYNP8hKxWCArvGq4Ihh/T5A/RpHNw9bArwRpmNDcjLnuebP2yS4gzRSfshBkGbw/qTCeKXgsgj3GVjP4ScYCpPEN5WV58koD9ho9D3KJ2bHdtF8jN7tZktKS0agILFu1rldw2KKpS5Lt3tHyKahaSwS1gNQi8+RAv7E5uX0Ui8erFLVOmnKFc6PB3h+BXIRmAj0F5Fhb217PPq8Kzl/TZ0/umvX/GJ5+z0S5DpDmqOtaF5AfgbQBuRlkJsgm1BXzVug0PT7XHmmJxi4bje1D42kXg/wK5CQMxMWS8TwpyDq6Izfnc6n357of/Vpu03OOl2sLE3fnjv+bzkFdst9Cw1L+AdKKAPGSxcduNBGGLIV+s9O05okDoAiSe0CGRz9Ovr/6c5W24PZXLQJqvDjaXSB/ShCvhl33/Pl8gxwFV7xrlkkQC+Rb7DiYcPOJP5AX5FBY9GnQ4OOkmwd3u33RGIEfmB03m9msKa49WqD5Wnc3vfS4R7rDMj7v39d8jhb8fQLkfj2b5I8gE0CuBxmC1ua5RBn2ds+bZ8Lzz8G+K6OiTfe09ZdMxUPiBOckLJ0FrpZM6QpTrnDm6MkkQ+jcV/fFlKgXVyx+yz5njwHpjbrK1cz5edTV/jyyaonFzeCiboXPYcgFF6S1LSx1RQuaLgHpZKDfFiDzKZMaY+bWx22vNJziN24sTed4uTZzdcpc7/2DQYaCTLPv/8lo4qfA9QbTLjQnDoCN+LYgL0Q7htNCDPsG7mnrlUB8zukMWzBLpCBrFhxGs+75H9+8gAKyEaQiPGzxHsoqOEk1yKA4EggUjh99hW6dmwRKIlIa9q6L1FKTb2Fwy8zoRnsjPkPjb2oXjhFVtjA3WPJjdbq9bTOmrdGaTX1BKkHG2gzjHaiG7yGQZ+DaL03ur7j2hM2cd7Athw7wX7seVfyMpkTx3cy6XbKpsGB6cFw4j2Ou+LqpMyDImjnfh72WwYxfoXFpn9tn1X1kMmW+iyZxcYz/ycxn4EIYOC/KMw2kDhqLNNYAHY4EWYZ6auyExkX+ygCMtUDeB+kQFR7S2kze+/9t2QqjWY+KJurpkO/5UNHE/FiyH0g/kGfRgu2PoTHxvjJlpl1oThwARVKz4zRhQ8dpO0JFZ/sAnoUBzVV4WO5pC9d/GWdChKjxjmoI9w0P258ugspt0WaIqmEoLn8NRm2EqSEv+2AMfnzpRuVVkFbR0FJFfWi02Cs9udNetzdRV4NlqEXncL1cmm1Qa9Z4USGtWPIJf+vg3fLkt1CwafevKJQd+bj6WzvU7esD6PCiG/wgPwe5mxLFd1HXuDvh+vXRJy14chCMWJGWoOWga+ZONwPnoRrjAx3w/AM0Q+pUkB+69/3PDppZLdo7B+QAVEHpK1tv1ve72cLh2zXzBbkd5ClCpIu3LX6L4dKN0OqbKBjUtDezVtqmD6aZiS6Hpusxx75vxmXdcVGHKMjeIN3QLJkbUMt1f0ooxPTbdAvNyQMQG1PXfmpcCwFyNepSEHlK1TTgNm4YUI106Dnohp42PioLkOm5+4g5qm0zFqeiMQqDoO9H0TOWchCaSS1wZqrSY/ipiF4cXyA/BfmD1hnrsT33vavsy6XPLNRV7nLUBefncN0Zfi0Q5RLzFE0sTj58ldvs2mC1PcZS7ommjf4YjeEchq3FBPkJWlvsEWh5QnTlJmoEwBGrodsbaRCawqxZUMbEPlt+BzIP5HBnPJmzzpWeu5xnC1AH+PzuAFSBcj92TTk0jf48QniLxKHhj8ODwAyM4feiMt/zP4JBX+T21fOTNM47rS0NggjIHiAd7T33JapoHQ5ysPP7zR9Js9CcPADxpDitDVdWxbEQIIegLg8FF8uOiFtvcJh1UbMvuGND9nESyHI8FGMN2L8FrZ42y4gW1RY/gsYmLAPZCrIa5D00duYvMHhx1IcnyFUg90RLS/5o2gvtucfdjBcYvAR1lZsM8iLI+zB6U5B1zYXlunXwy+vNuG2ZdDeuqA9XLI1eGDvzfr/wU1h8t8ru83psRVUU7rBpUEKZhi98DIQMRJMhnWGy32Dzl7ForIWnOFhUqfQp6hJq042cgSbGODocLK6W8dC1Cd3Xum21xhKlS5gKuxdVcJJ3VVjP7qvbG/DCAj230zXntLa08IJZa7srmvjl7za//DbqPnuU/fd9YWFVmosqJw9ARBJxlnZmqgpOT78TtUbMvtwfBxmTNF6jxG3SzRYKAmVBytDFVWugx9sRuK0dAjIKZK57PEfQeJRLXnXub8ACNIHAGfb4BZafmJQUb4M0i3bto7Bkuu2T0Y74MbGv4NG+KkCZufxNaqPh/fuhz4dmhDHX+nDbQR5Gs7jt5ZPOLDT+q6Y/x+K75mguXYxH8fXvMBVGboAHu5V+P9w+QuMGPwO5rPR6R5qEpxbq6VEyTgm1IK8ByYp1lp+girSLwsPSbp3z/C/ZSJareXD363xarBbNKplOBjPEmmYJTrkePIq7KzfuaHOOFp9uMf8nHpU8bLITakH+E2pFXmrT96NJxIZ7hjtxACKJiXEilG5VlMg+ZIAI2irT7K/waznhNg0NjZfw7QYRlQYZdSvqDfIKqkW5UwUZM/i3mcXOMHpz0P507v0/j+rCATkCZBUGsiB6m4tJS6bbOjXb4GypMpG5KCzjms18NZwSJAWwc3+XTYexW+CKUCmaS+PqnIfQrIGPo77wz4EMANm/+FzPmgyznrAFpkMoUnzXHL2VlxIKpD0smAON7yvGnCtehy+FXrOC7iOQE21mZ5SeU0mVf5AfwaIVmqXRMXtgLZCb0Cx6P8v6fTdU6XOdIXp3sTxdvAl1VXof3roTei8Psl8LaXG87Gh3fDHBycZxZDRWDi6R4edWc29+9IwWn0/PfEF2B9lmr2s1yCK0NMJppKy4ffIAODIS4fxZE3IdqLAvkbOTxmlx3HarSnqDGMD1iyDNzdFF01V+Dw5bW9ISDWRfjwZSt8sWnA1pd4+y5/sh/L1dmP5g9rNw+Yxo4rtkDMjtSdNGMNid1qnTBrc4hbDr6ud8crrMXeKIJDfL3EbRMgFyOUhTm44cM1RG6ZbmMaapxhf+PtQd73WQa0GOdP5+8Ho4uUBjiqbL/SXqTjYNpBMG4u/c1+u8h5OmXXece6udhWZuvCLceHIA6g3wNzjyiCRcHHXOvZY5jWvfzY+iMRY/yoLbArkXjcEwEp9cLObJvjMaQ5e5wZVg+bSYn62zpo1YDdITZD9/OEyWkS4lOOk7UXorpdc91zyu2/8UhkeaMMvn2u+Ehhnchyo7LDRp0ASQOWhIwu32fRa5krYkvEkDoEjLlog7fwzdl4bZwAm5DtwC8s+kcVkct0OrYfqEpGEygOvHQdr4x0PTVZlMM9mM5riCg8OZaRUL9Ze/DY0peg31/a/nDf9+3DNkV5AbUUvWiJrDIkR/FuquclBEazIbpHHStBEcfr81zCrqw+CF0G+u13UA+THIUDsNd8nzyfky71ENbd93j9HK/m3IUlS4fxXV4G0G+QqtO/MKGjv0e9O12MLgFmRnNDHHnSoEXfeFX9jsS7gjWpx0FVr0tOT6FIc/fx0GroOqz8hy/0pL8yecyx9AKsOPKXvYjM+LypQ1mqjxggPmxMGMuc+5xRQ08+1fyROk0RjN9zBek64m2167dfrfjBJGaaljYHdu/b7nJ5m5jhHneXd5DXWL/RKNhR0HcjJZ2vvcO67BFOjsar2OQ7DyIjj5pe+o9s2O0NI0X1tYmgjyJC410dDi46NtGvnM3tMX5u/r2GBOegFzkVNRX4v7hZOE4yYKNPnAapB9ksZhCTgboD6lxipAJzSPB/CRBt6Z+blKMkU0x2f9fsZE5/cHfA4LF9lM6HiQIyKcXwuQhfbl9xNDfR4DUh0RvCegVtdUmdWjbiC/Bbm2xDt1QXqgKVq/APkXdHzJy/nkfo61dGG+xpXoTyzUxfRYkHPRgqDX2EJWIGYuYvzWgu7vhIEN5GhbQPgcTUHdkgBpqJ0EQDTGsArkHrjg+KS19hk43ZREThkp5QaQGw2tV22QW1Et8aE2nS0Pgm//Y7vGLW5Bi3fmxc3I+aiF0jHTV3RwNproLvB4dft979+aBbSdB6FHdkbjSW5BlSYrlV4f75/La7nB5HYfGo8X9yQ4ZWg8Cvf78nLPDY/z6OfrRei276XbUCWfpwRe9vkyAg3h+AIVvNphWBFSFIakFzAXIaZiRCrqw7AtUZsjdZzG96kmuevr5WDeRSX7gUnDEXIO/8SHq4k7XY2RjBBV8/vY72DUV87vt3m21MEecl4HoFndFmMgeDmv774g90YE900gN5vrL3n3EY/zHgXyq0J4TzwKjX98CHXpfBStnfODzPy8pJx3u9xarnKnZ/f+3OeRHg1kVLChsS09US18QfHd4AH8UgEfTIbh+a5asbu/lFYSOVqehoHcanhfDEWVdKeBfADSNDk66fiSA3xHosrOM+On5/Yv63rkF/rustmj9Xovm1ncP/ObL8vukSDDtVaZF/e/sd/CSJf7MKylpwbuS17VumBv3+31ftVvr/8Surxh6o5I8zkYDS22mBK9x4HzPZd73vaZBfNnE7BEgM03DULDG9ajSufOIHVz6cwsP5H4AuYiwYwkDNIQFlar1iSq5BDl6R8L0ggNmnU0jZZDA/kzyODwdNVVCuNEmkyCzq+boEMf86mN1hJaYwsixrUnIP8G6RdBvxaqfTeUYKB89hXIQHhvYiG8I76Fua/ZAqtjMVEvDI/7Zd5wSuGYnatVC+3/vEszzqOAjYLiu5MujyuGLVpcFVMSucY89QD5VwR7o6V9nr0JclcydDJ8G3zwEDmualIXtYz1j5uWc9eoWjIFS8cINJjiEa+VIJPCw+E18UQ096GheOA1+Ijp8gBTE+iWuBIkHjqU4zXBSnSpwP3dX90XmxGAZR80EdETIBvg45eh3+oo5pj4InpDtm8t498wlD0naliTwbNMBemeNBwh4P89yNXh16rZBmetSHxrC3IKmjnsFULWrioxzpIo+kdjwBYQ0CKHalJPRTVF42CIW52U1O0rkE4aRxgNvEqLzgd/0Ni34mOlNCVsRLDxffHd678M50aVDncfdzgu+xoe7olDkDVaRPvxaOCRn2fBEXlcAlz6M7WoXL0Wmj4ATY9F41J/jyp5aqHxsnfGuS65MD7SS4tE+2fmUCVbFcjp4eHwnvI8ivswbJ82LrY70XQweGpiyeaICpKjbf7AXHHjtDSQxqjltUuU5777edR5Wxx3vCpK+syKaqw6pOqZPQYGnA5/ORx2BzYBA6r0d2+PZbEn0B44Jioo9dn/AIUx+9kd+PEB0Y5r5LkJuN2ymCjCd0kDE+DZDOzm/XU3unqzJzQfoGu2agXMHiOyodqy6oamw1KPZbEXMAHoAFwLTBRBTPWfN9ZPgD2AeWb7rVsfuvwLau8E791rWYo/h/H3Ao4EjrD/m/3/uwALgUX63y1bymhffQE7V0QFr9LinLnQZwFs2ZZNo/YrXcOOkT2Wyf5MPqZhU7o9YYKe4StXwI/nw+4Nc9/ys4YrV+gZkU0Hm9D1ivNxg2PXj6BDf+A3lsUDwH3AW1D3EGg2GI5saFnTJ+bRVuhHhPcsi4OBpcASy6K+CNtM9Z/9WBbHwAMPA5OBa0XYbv/eEpgGXIciZi+gYxQweIDxFGj3a1jbEZpfkn/veOjiImAt8GZ4aPLvxH2AJZ/Aue/DgXtGfx+G5p9+CHxZs87hnxMmwB0HKww32L9tqlD+gBlmxkj+sSxaAX8HuorwHGyAyM59t/Posw2w+w9z3w1+Zxae51t/Ae+cAvSH/Y6OjJ9IWgoulBZrJOFR30DzR/wni5BBIA9GD2dZW54s1J2iY9KwBIR/FB4KIuZ+EySbWiTabgtNH70C5C+4uHUZxtflIJ7cQvzhM9/03utTeGaoWpDk32jK6TVohrf3QB5E3RKvAGmCZp/LC+Quj32l82/9DHTZrm43+e6fJuIBznlQi8meNTlNlqBybs502+q7cFpwdwth8nPLSR5whL0358PCJTBgbRwwo2nnBa3lFSiuoUT/F6DZt3q5/P2ArLXd1/T4HmE8FE2e0TrYujaaCFevgy4zzd1FfmKlKuprUe9ub5uxdAc/5xWWi56A6zeZi3e64oM0WI/N0lx+rM8L16AJQxrGN35BSY1t0PhZU3e8yxjbYc40kA6akyAiz5CkF9gdKfIeyMk+v7FAPgRplhBhbC9V2T0tDaS1jePIEiBECHslyB+ThiMA3DU1mz4w4XrhY9w/g4ww26fb5Te0upSAVLzf9Ncmc9n7kgnMDxuTk94YpHJvznQ7R7SuV5j4i9nPKGObrNujt1g6saDV0zG6Jv8IZCPIv0A+wlCGO/u+r7QZQlf3KrSQb808Y1cYgvwQZC4+4nRz19MtvjGehDoZmhq9Fc572IywEuyMiygGcme4fn05KO3C4bdyG/zq3PjhyD6Ppt0IC+abyKqt/RcXwqO8SxNfZHekyDP4zDiGZvepIqaUyYWE8a+OqKa9RdL484CrWmj9C6NZ3WKCvT/I3UnD4QPe7JpNlcRc4M1mWE4122d0cR65+2r4pzB1bNJrmAufuWLL/vovz4s8Tc2dbpvPDGppBtkFzfL0o6jgjg8PkSXFeRqNa6xEi136Uoy64PzvtiLqkCLv7YPGe3ayhajP4IGucWXztOGcBvLbYN8XSwJS8//RKVYiZT7VYjsbBi3yug7RxF9JJXw8tXCe/T4rV4VVWu8QW+FxB8x5Va1C4ZRNXs6xqLyIUhbzlPOsBvbz8mLG5/G0c2HDKnjoYDDnu+32OPniWxargCmWRRcRno8ahqCPCN9ZFv8HjLYsnhGJJt4moudrfMU8JfdYFi2APwEfAg1EWBbf2HXrw8k3Q5NjYepwy5o12lxMw+qVUcV5ZO8ry6IRcL9l8WuJKF7C/+Pmr7/3HJFHDPiPl3U8pYMPutlYmnCPmx/+xiUirwVduzOBuSKsCQ1ebE/scVr3A5eL0MqyWAI8a1n0EeExvx1ZFvsBj6A8QhMRNrq8txPwEDBZhMn6272D4f374YXaWfE7p1tW3WamadSyqAX804bzumC9uJ0FtbL+/y+Hw7I3LOuMF83vtRMmZGKdssermkDIWBmNp+IhoJbI94FGJR6zZ6NlsS8wCo47Ex77Ruf14wPg66/g+saw9h7L6lArfedYqSedd4gIYlkMh2MfgxkbgfPC8Z6lz7HI4nmTlpCLSKg34yFjnknNiKl88Ki7UuotUGjGmgXEUIfDMNyXgDycNBwlYIysZpO38aN1/YInBxbWKoksZmIqSGrcYaPW6oVNZxw9XbmfkWl3OYzI7eePIGOSnlvSeCg+3gXHw9itcOmrSjd3t0ZjgIbjy61XGqB1um4s5WECcjtaGLl25rdYM6n+GmQGIYrSu8M7Pu+3cZGsYdQWSpBr/FjlTK8fyF0gtxT+XlEfei1L6zkWN57MwycVttXYc9Zk536Su28SR2IR5F7lRNRREYnpRSgjAaoXyPNJw+ET5otBnk4aDhfYIq/Z5A2OqBl8sZn76NNbg7QA+bgUsxQfbqMWTCvqQ9vqwtTBnauTvLy9zDvtl3ZmHu2eh2u+MONmKQtBTkp6XsHwEMf+daObkY1BZqsbT2lXZpD29rl6qYd3+4DMIy9BRUYYyFZMjBdoPtPsnGUgyHyQeuZxVxNfKQ7ClNm9FsM9ciXIHeFpKYiyXE4CWQWyV9zzjropnvquSrPwB/IT1IW3ffi59psNg6rijDdNHIFFENsNxEPmFVOFdSPxpU29AAWyM8hSDMfEmIczW+Pdz9oLvAAAIABJREFU/gWY+1rSMDngMpaaTSVg2BPkfBi8JCqNIerHL7hkt4pgThbIuyBtkl7jDEzRMp5aSDBdl7f7GdlvNsg9II/BteujojvDNHUWyHQD/RyFWlDKLvFO8nTTaKJ9Xj2PWogqXHBsoVkCl+IhVgrkDDT73tHOsMyRQqt5pw3hk7zU3E+XTIWq1SCHmcFf9lnTcIoqVrJhvypPmGptTBCM2gKDKm//7h+mTq/CiM+Cnr02Tb2KS+H4+GMCzXg9Zc2vNiysUl4pfbX7suD8ufLIf20TZv6oBfP3ccK+A8Q8mfLdNu8jKsIMy6IddgwU1F0QJhYgilgCEbZaFr+FjydYVt81aYxT0Hm3eTG3zsSobyzrH/XjhtFpDWDDl8RUsykXFizgEKBxVjsceBe2bTId05CZ+88bw4+A26fC54Hh9/qIIJbFr4BRlsXjceC2NExR10X6yZ7p81l3OyPr7Aa8BayBBbvCphbJ1zwq+QhgGejnYuCpNNBkeh/3u1WE9ZbFxWhc6HTLoqVkxYVaFj9A44YOBk4TYWWxkeyadg8BPUWYX/jG7DEwtDU8WpEbx3NPBTQPFMfjfD8NXQYPfWfX0Qn15J81Ol7zCVCvGTTYD4ag1wD22Jt/all1jdyNGpc0+wMYvBI2fOWzLpWXx3f8sh0rdRvQScTfemXusOMbQL0D4N8vgtPRFF9MoDP9BIvDy5rfSbDXHvBC37TwcU6PCO9Z1mMjYc7D8EKdEPNfCxwfGaBOT9KSZxFJsgHIrNLvOZlxh2zymS1pLxg4L7J88EgTqFoLvZcH1eBEm/Xm9KM1zXo6TbxpMaE7r0HfVbaWMVTNJi+aJ5A6tnVrGFozabntdvAfkBFotsmdo6CXpGNZVJMm80FiTbWaVEsLzefC1PKpUjAlTSc+6KkxSGDrdWa/XrMOLn0lbfNLU/NCy7Yl4FqQT7FdIEEOQstp/BsPcUMgu4G8TYlYaWjzmkmrQlJ71bbAbCi0Qs0xNjYau/sFEdTnsvtvA/JYgO864jPu2c/ZFOc5ltbQk7iaifnbdPRErHAnjbgiyNgfZJV3oqkxaze+D+a9DzLMwxgWSHeQlfD+JFO5553HavucM4E0mYS6zpVoTSZFJ9ylj1HLhS9eE7p/PLV+Jly/bodem5+iBSB/CfIyWmz2Y5C7QXqAHE4RdyGTrmVpoBG0dtQLSdNjPHNt81Oty5GOixDkJKj6DPqsLAVThu46vw6jN0O9Q5PGp8N8zgB5Pdi35cmkJIfrivow4HNvTKvUlPv4pa0cuqbYGZf1nQVyL8j9bu9n6LLVKpOFrZO8n6DFzNzYrWqjY4PcAHJndPBLCwLEXAcTnvzdYRl66fiKJjtpeYLhuddRpv/qtSboJ5rQE7PuhM5jhN8/IGcSQhkWpKXZbW8NUM+yqC3Ct8VeLDRrcxjwpmXxqgjvO31jWZyIugrsArQRafCWZZ3VFib8E+a/Z948XWsnZ9eFczoBHUt/f06d6Nx40pnWMvPEnlb3+8ey2B04BjgeTj7TGU+1dwk3ils62JvfA14DZgK/B14XYZ3XXs26lqWCRu4DbrQsThHhnRjHTeB5dCh88CA0F8WxcXcZz49lcRLwDBw2EB54Fz6eUAymvFTzs2DCT4AlccNd4vmOTL5nn0906Zt3zGdDHVhcC9o/CrvvWYyWRXjYsjgXGAM8K8JvPQ4yAnXbaSJS6ELp7Bo1FhgG7AMMqFKXviCP2/20/4GWxR7ikkrdzPPVErj6jCjuRjvVez/ggrB9FXk2E0PZEcuiNhxzgp87LO8cexE4DJhtAJb9gT4obj+FlfNgk4E1NJ3G3Z87YfCwEiP83Vrghz7eD//EKakFkMw/J2DhQZDLNWDurMnZUjPIXiC3oQGl/UFqZ6TrIUuh76w0mmY1O9R/q+XJSdM74lu3dQqiLQHZHXWJ6w7yG5An0TTjm9GUmpOg9wdR4Mld89JhatK4TxuNaIXyYZ8E0YTFoUUzM0c5H03HXDcFsNRkpOoQ8PuxILclPQ8HuE4DeSvYt+mwhJdDsy1Cz+MhJbHexfJbkEVoRtW5aBr42iW+Ox9kJcjB7u/kn1/VotanVlug0WKoaBJ8jk73U/fFqvyQJUToagzHHQnDt0Tjzi8dQV6NmD5OBnk3IGwlLU8gh4CMB1kK164NeoehLqW3e6OFwjvG3gfnoO72X6Ap0hu408+VG2HPJn7uK/Np3N36u/hJ1KV2d2wrbxhrvAlLPsh+IGuipNWCMeMczP/iyccggUyluiCD8/yB+61W1xO5G2QfUwvnHR7/44DsCvI7WLQK+qyI5pB0gq3Xp2liLjOH0rXr1T1hyTdB8FxESPoa5EMVkmQ0SDs0k1Ydr30Hn1vj+9IgmERBv+Zh6FaV1AEdzxxlT73opXkKYAklONl9HAOygpSkmc+C61SQd4J9mw5FQjk0kM6o8mmnEu/VRTPuvYyd3htkb5CXQB4D2d3luyNBVoOcWbz/bIG3WkzXqHNzkbaFwGUgfwbZIwL8joGPX4oi8ydaX++yiOnjWJA5Ab5zFZ7QbLCXgDyHKuBvB2kQjsGXBiDzS9OAkxA9bTzIHJufvRKH+LFc+mkyCZ5+DwZ+4QdWE/H/uf25KYmu32jT9GaQb/R8v+6LMGdiZv7DV8IV7wbItrcTyPY475lYBgkMnG7e84J96y0+Jd6ief5iUOwN+xHIwyD7RJkeObfvji9B1RqQnydNAw44uShrrQo2ivt6Vi7zKiSZXEMP87E03m7IpvQz9vHUhXEfP/heLReGF+SvIHelAI7QglOmrwVzNeYzPRY/VIHiW+Ot35aHIG4OV8EstiA/RC1Cp5V47wibufxTvpCFxvz+Ay1VcEDe3+ra3zmmm859N3v/j5c4zwLU2+UfGLZC2ffW5yCHRADz8fba7RwtbUl9kGr/9FiYqtyG+RbUq+hlVHDfzZmW/d1hILVQId31ffc7Zmg1WhrBRzHocx4MQqOFQtj8j7zsD3/zyUn0shvIgdD1TWdBy2/cljQFmeUHV1nfbsChZldktBvXQMEWTyaDXB7sW2+uFWl0wUDdF663D4FuQQjJAAztbObp+KTpIA+unbLWqaAArft69prlR0iKcT4jQd6HC45PUjAph+a+tqXrmkCHqWnb5xnYai68Kz6AURtNByb7h8ek4FRRHwasTZuggdYXeT/cvC56QrWw5bFfFeaGUzRhQtNV0GBKaQVeKG393ZQogApyrs2UDizyjgUyCuQTuPUCW5CbCsM/hff+7X3uNfMY53AOSORnAar4+xTkz9DsuJB1bSxbQBgREax3gPwiepqU/UBW+6PhfHrstxrmvYsmGLkJ5PCIYJ0I0tf97+Z4SXP1S+VYVMA+yj8MFfWhb8kEQfquqYyBUgtVMvguOm5/F8naO44X10CBgENuBRke7Ftvi1nkvcX+D7TwMRUgh4HMQK1urj7cMeG/K2qePSJpWsiDq2atCqq3Q5eZabYw5NJI5xmwaBl5GtX/NTfcue3VZhugwtE/HORAkPGa9S19dJEGK0YuTbZ8ynZtDi04FV+z/HM43ng0W0D8IFwfl/5Ms3Clx6JWfI07V+fSWaVowdWK+jYzvivIvqgl6GSQczQNu/P6FVsztED8MoqkuAYZZAvp53ibw9NDCktqdPNZ7qPRRBUckzkLQPbSWKjhoTJpom7n7xKBMhCkAmQdyIEx4KMC5Cvv77udJ5dMjQIXebD2AHnIP2z+6cq9r5ZPBYD7Ss1A3fg+/9bj2c9Bl9dKKXXdXRYD8cDjQW4N8N07IA2jptnvx4troEDAqVvVr4J9640pcX6vplaCFx/TmsvDqfK3nzpOYoH0RdO0VpKSGAGQfiDVSQtyeTC9YR8oB+XhbxQs+hR6fpI2Tbc7rV2xNA2wlUOz3TVc6po0y/u91zL46Ck0OPfPcEuLQtxXboPXbyEBy25mPo0Ww2jJTTM8R/T36JlyZ5rss9Jc3ISbBvW6DSD/ArkWHukFPQOfncHgkhPxUEfQH97Scc44w+vGjI0RGPMNyFaQLai3wyK0vtIrcNUa5/Vr+4bb/FFXu49BOrrgfieQO+13PGuKzWm3k65ZFzZ5lOxjC50nRwOfDMJnGvAQY9VBY1U8ncHJpoWXA2yh0jGBCTze31R5CWca7f+5XVPyCUq4whb25T8sAI05XF9MAVI4To33zNBqmD4hIJ4Ps88hXy6jaIzbhXHQrUj6hac+IH8L/r03/1Z3Jsb9QHMm7koJUjsCNV0/AfI+KXOTs+GrBFkA8uOkYbHhaWPj+BT737WVQZYP9YBLNjbHHe7yiLtJc3OvazLaAa893iIrY10hXQw8BeRNNP6tZBFOs/NwU9rMENPB7EnSZLHYU5DeILfAiOVx7wuQn4F8lFa8mZ9v+5d1r+TvnXECl74Ksou/ebbd7jL/xTCoSmNMHes41UO9Kp7AZzZJs25RFfXh5Eeh3XfQerUqP+MSnsLNA+SfIH+IBjaxQGYTaYbAfKXz8G+hwytJZJQLgJ+PnAQXkLOV4b+zpSnew4mPQa3Dg9GkQs+DnFW6n2A4s8/n/wTE00mo5dnxXPHw/Ssg7Xx+cz9IlzjoQBSN8QwUEIGtQZ6MZyxXDelX9mE/BQ36/APIDdDjbWeCHO/rQCQTW3STX0k75rUYZx8cBa5y8cNywfGK58FL4Mz7YfazIC8SURX06Gks+bibcmnuF0H+vvOGVzTgdTLI6yD7JT+P9hJvMHu0NOlFy5/EvgA5AeTjYPNpNBHarcsV3qOHOdx8G0xR5V6+sm9IUdpyX7+W7zqv2egi6yzHg1ShWU6Lph93hsWkW1Ry1qdwiW/kXLSMgfHMfXb/Z6NJOCKxxhdXOpdeg+SthvJ7kDF5v52oglOw5GYB4djZFm6qQF4FaZ6/ZrlnlUhhK8mbvki4TKvPgfQK+G1PkMd8fnMHyNDY1iCugQIiMHAtDv9jufuY2gdWe5BeICNAfgFDP3UmyHF537tZrqSuLYwtAjkjaVx7WAsL5GaQt0mw/ozz4XnlBjjuyKRxFJzG0qmtTmNzXv9OG9TVLRhebdoej7qn/jSeebgJDF0dfpPImPI4aLKUJTiJfWEz8r5SJLtbC0t7KiTdVMPvhOOmG70ljcjXgHtRYmTwAdIKdUnvFo6OzDDOCv8cybXEzYll/ZznMXi9BzeqXVEPkFbRwSYPgFwZXf+l6MaLRSQ5zxK0ptirWf8+FLWwXBoXDHnw1EFj0+ei4Qwt9T7LpjH/2SVB9kdd3ncLAdu5IPMIEIKiCVXGboHLpntdY5AbQW6MDfdJLLgP5B8K8kk8Y/k7mIv7kNf8v3PsAKrdWYIWSotEgxTRelioe9x0XOpuRA9D+QogLlq37fA3X+bp//bmcHk2McFUgVyOahAvjn4OrnT8VbyWp+Rjd0wGG/tY62NB5plZs/GJ4M0f7MEzVXpfs2xBsqa1exnkOjQTmuc4jeLjhmec1f033z32KoHmgfARbh5nTYZFS0EuKkGzvySCWKQMLJfNUIa1TWQKJHc6HJdDM3GsQTD4mxyjSWIumQbnPgQLF4MMTh4uqY3WtvoQ5ANN5V5D2/7rmoEMB/lnSJgskLfw7X4XuCbqMEpk9zSK86QXvTgymhwD47bHl4HJ+8HsvMCdq9U9ol1N1qo1IG2zFndXtIL68jgYtGhwJLXQQO/nCejPGm788nZ9K6SxR/tqkoumD5ZD1q60NnNMlZyOFnWtJMJEEu4XRJOLYcS3cQozCkvDKXDZ13DBBi8prKNdv6FLYPpN0Y4nx1Ci6GXhN65nz7q079solE55e26xs/V3yGI0K9xPksZBHj4Wu8VsJQOPnAuLVkDTB1yyFx6HWu6MZmaNW3liwvKUHM044WrgujTte1tgaWUn5MnCcU28o7ezCo0FbmEAng52Xz5qXAWO0eoKMik2XCe92O6IiF8j6jddbml3FPk5WsOiLeoX+33B26TxGw5PUseex6OUqBxvfuzytTy509AgX5XE/9eiXhM5BC3Ud1eU9O0SEPwHePdfcbqlpMH6lIf/mmDjyGJA0ZpvC/19U75nD0zuUpjm29waO9PQsG9g1hM41ONLukGb15wF4WCWODP4G7TeaX1sheUMkEHmx3Wi6eiyfTpnfvMe85QszZTP/g8ZV3eEzbeGTv0OUhsWVkG754vRUy7v3XRVoQVbxEOM1oUgz8WG46QXOYrFDzZeNAwEyKkZyb/LTDcC8iu4Jd3QgMWn0UxlvoN/07ZOyeHRLJ2XGx2ltaH1R54EeQlk75jGPARkLTEkrsijkzwtfLWo+3GrVUnREGrZ7hlh/0eCLPKPs/I7ezLM0MTLohTKMzTV7W0YvQle+50fjXOM+LCg/5w0McLF7gG0XMgbNfesyTO+0Jrq38XLJ+6bw8Il0GSS0mHDKRlvnXTfV+Xg9ZKhjZbvQs/v8oTUbTB1LCUyy4KMAbndHDz9VhejJ1OZq0EagrwTG66TXmx3RMRLqNG4NdQUvF28odiBVMaX8m5oJsK/xsm021q6Beon3e3NtOOp+Fzc6HxQFZpO2SWDjpNrR3nSUVqbas3k9yDzYULTqOkbTUH8y+jnlU8n2Wneo2WefOCiGZr1K5J6dyCHg/h20VLcdXsThi1PO7Nnz7OujccBMY13Gepelso4TntP361FQ7svTprOM3C53QPXrrf/vz/ILqbP+EK+x39ygdJjfH9nTYXr1sHj/ZOmAzO4Co8bs/Dl00ZN/cPWMxX2v7ezFYLLUbf0grh1VSzIXJBG0eJs2Ccg/9E27BPnd7LzB3iKeToiyJkeeG5JL3haCBW6vJE7Vk0LUkNCLLRGlV3w9gyXufT/GGQEdJ6R5k1ZYq4VMO9dGPRlvC6W8ke0yGLqcVR8Hm50PmAumlRkCcitIOfCkUc4X5wnHgXSQC2b5UlHaW7w0vVRujzpGHIC6ioRebr94gyTeeYpID4stFBrJJnFbMXWkoDfngfySpz4CAhnbbSe0p3m+85X4tQ7FE1oUA1yovM7yQqaaHHeySAv672VnnqA7vfADd/Z/34XZCNc/Zl5TwU3RUp2C6a03pEUemmfi1eeGXWL/o9931wPUjezF7q+BaO+MmdpdFMK9P4IjYfqYP+/wzstV/nZm9hFfWPDd9ILHjehFh7o/U8B+YtWWXcOIPVz+KMFbx8nq+BtEevCIhUCKlebPLCiWw83i0fTB+NmuED+D+TfINVJ4yY8Xp3p3GYgf4aa0d/WTEhOeB63HWQ2VK5KOx2VY4tDkQPyGMiIeOZTzFVnnAP9SCI0hFoxpkfUd30CZnIFORhkWdz48AZb9jndbzbMfR3DsWPOZ9aVG2HuWyD7ur+TaBzdbqjW/XFiLogdHKe9V8DCT7BjxlTg6/m+6f1ZmPjDpHCWbmtNSFwlrhDIhc2ftxZaruE+qFoLA9ZGsVe9rL8pGkFjA7cTUxx+4gteHBkV9aHX+3DlJyYI1cW3cju881e4/MTCv/WQTAah0gSFS8HbUsSR9gPGGW99VsDrf9DLaNSWuBkukLE2nteAHJQ0jsLjt/SBrKlknfDc4ZVyoKNybdEXkpXGaOHLWJi64kHiTVelhYbQxDSLiaAOHhpftjTgt7VAviZAIgQHJVQTc/Er8aR8dz9n+n5kK3rGQO8P3GN4arI7tlql9BZtdkfUdfEVND431gRHwWij3ctw1v12+vIWue9Ee8YrDMO2mGKkyyFOaEdpwbPUXfBYVDTlRYliUtFi84OxFLtPfME9IKMHyL1xEJe31KuFBEWJgreliCNtWjrveOs3G6QjtHApwBip5ekqNB5lCkinpHGU7Dpk02966ahcWzTxkNlM9NWr4YVr4ptPRX3o+YkTnaSNhkAGg0yJoN+DCGE9Ql2GfdXDccHtVj8Kurjp1HkcN4Z48BKQCdqurHZ+p89S6LkqFweVAm2rI4ojrIfWmvkLMSY2MgD3zSD3eaQhkwkdDoaqddD4PhPWlf8p9OKkmaD1kaJWDpZWDpuy6IHMBzk2FnwnveClkd7hRbjGSB0N6PCKVyIpVlQwV1M48TI8FLwtRRz69wFzYOCicjMHJ8FwgQwCudMWov6UNI7iWQevWpxGE6HTTHVFrXdo0nCXe4P9D4OhX5vTxjqtY7eYC9PO/DUMmu90Hil8Ld+GdgId1quVIDHh6Qdo4eJjDPf7E5Dlwddv+Kfqq+/9rHZnJMfn/Tuoi1Q8Wv5wrjjnf+H8+5gIhDzZH2Q2yG9IYda/InA3sGl+X3f6azQRrvhAFS9GYy8HYkhZnYE1/6zruzJN/M2O1BTfozerl4rXUJMdR8AFeQ2kSSxjJT3Z4kRgMquMHKOZXrwRiTtBXZhn0q7cBo9cYWjhnyWiAOlwcHm5LOP1BQa5As1OdhrIh0njKL618FPIWeaCnJw0zOXeQK6Hua9p4pfktLEmA/DtS+Z893G6VaXI+nQDyD2G+zwAZKX/74LfS+7CTX6cWdDg/Fhi8+rAO3+D4VvzXNyXeHPFaTHTHQfmhDyQQ1FPkFFlJjjVRi1lvT28+wOQr0Aqwo9bc7Zc9Tl0mm5WIMu+s1o/A1WfUea1LtPaQHZHXYo9ZylNm7dByPk/AdImlrGSnqw7EowFkVkgvUDWwEsjvRKJM0F13ujVlS/gwi8FOSxp3HvDRbKbCw0mfxCtN/UVyF5J4yltDd79B/R+Py3ZrpLBQTiBAy10/RnIweZg8m8hMOwXvh/IlyC7OP89XZpIkH1AvgA5wBxNnPcwjN6SicEpTSfK2AZ3UY7e8uREI70+NejStTdaf+t5uPRnGYa4z4fw8Sv5QoqToscdB+EsT7nrd+HjsGgFyJXx0agZxQbIEJBpXgU+kBfDKlwzdDPHpsXRoimuKyLR4KPu9gUuif9rRnB7AsicYDSQzkQY/uZwZRX0mxuLAj/pCbsjwo3BaD+1NAHUHGBtfoqmJv2I7zPf+dHc57/rpjULrzFD46Y2+dEYxE+YjSbCdV9B2+eS3lwgrUGesP//ZZALk8ZRmpquV58VaRJ4k8FBEB/wGlrv+Apc/yU8O8wsXP6FE5MCDUhvkAfd/56+IG+Q20F+HQ1NdK7WmJvs33ovh6ljQG6xtZlzQb6BUd8ExY2O3XdlVDFPubTb7mXo9gbMnemVES+B/6PReII/gNTJ+9tOIG/joZaUwtc5D9eVAn22w6N9za1pP6PubP7H97+OqCvpGny4qIJcR8iCpkovc6SwvlunDRHFof0AtQqmzsum3JvNFz2ZNBzxzzuB0JGkJ+2ODDdm4bovQM7zhrzh2+C9f4HsFi1MJrKSyGkg7yaNdw9wjgP5QwrgaA7yov7/G7dq8or0W1hMul4VHydd1oNkcB1ESIn+EHZhoktk8nQTaHp9iMdA+CzXnDVaW84tq2P6aAdNLb4WpG40NDHG4bfBC0GuRbOonqBMXzjcwIz/09jW75V3dra93h9B5TLD8St1QBaANA/ZTwu0JoyrKxnIcSCfgxzujQ4bTtE6LjXZ9u5qpWM82tfv+Zg0vRr0kpkCMt7nNyeBzA8Hf/uX467vBtIUZBn/8xgxjddKkFuThiP+ecd/BiQ+aXdkuDExj/dH09dOyT6o4/H3jo6xQl0L/5003j3AeQJaCDFRP3I0vfNruia9l6fRwuIgKDXx5zYaxt0sfdaD+PEfxD0ulriR2rBgAXR8yaubhDtc13xun4cjijEifs6uNLrp2nibBHJ1NDThVN/KKZFQONyA/AlkqMPve4NswHC6etS9+e0g5zXq8j4cZCXImR7eHwEy3aswX/j9Xa2CFKNO+qxzH3/IUjQ29xRc0tpnzvles2DkejjxKJ9rVAt1K/ZEf859NJpoujiuR9j/jOFYxv/2hlrojXpKlENL4gxIfNLFEeLsYgeyK8hIW9P1a5CK+DINReMbivoBX5c0zj3AaaHazJ8nDMfPQd5PWutYnE7ymawWG51hbf0MyJE2A1XLBPOaVrzEuwaXTXPGQdNV7nEtXjJLhqvTYzO0b/hhaIvRBGq1vg+NC/ozyHGFcDb0FauTRh94kJNg0UpoMim4UsGP5ck8btBCrY4Bzbbg4ZjEIwTOauk5Ke19frcLyN9APvTKmNtjTQO5KhisQROpJHfW6X14+Qzn8Xu9BzLRxuHXqNvjw2gClPYwoakhd7/7QAK5PGboudmG2DX3SAVa3y6UZfR/LXsdK5epN0I6zuz45t5k0v8sT74QJgegGddWQJfXyplZBHmGMvEBtgXWCQnDcAzIvKS1ju7wNb6vkB7dtHvXrkd9wL8E2QZjvg5Ly87M9qAvzcRTlIN7pJwNVZ/DFZ8WxldUuzIq7ozYVatgSu+gdXqycDdV46ge6uEf9w2mQJtt0GaNU/pwNDXzeM1mNWRzXvzC9jTuE/84yJ+X10x3Nfhv8xpcvD13zZxinqKxtKHxtw1c/jYK5I8RjHkhyBw8u3fKvrYgN4Ui5Tdcvj0Mjds53j+cwc7y3LOuWlQQ7rg56hT7ID9WHC2Yr4k53OkHjQs7HqQTyP+BPAGjXJRpvt39elAkhtFbHxVNNMYpew65GRQjwuH5aKkXX3T2v1awfqn0Foh2vjW8SJNJ8MRMuHJjnPNPHAlmECkNYd67MOybPEZpO9xxUdLweZxDKjPtuePbf0YXwzAcojhLl4UF5ESQ38KoLYVMQGm/cr1kL5tugtHN1ZA3fRDmz0IDvgO48KTncC4lxNlr8BnIeZl3W65Spqq6KJ04z7PbInhmKFy71nn98rOldXsD5EybCbXCu3r5+95ZCzemJO2lvQW3TDjh7/KvYMj2wmx70VnalBZkAy7ulWj8yoKIxp0O0sPDuyeibtm/JGDyIpB+IO+C7BTH+mbWuMEU6LY16jPKxuflaBzYTSC7BKEfU4o/kAPReMBQRYBz59D3I/j45SB3RQB8/oOQSS92xOZHWRlf2EryylPn8/zKjfDjs+P0lkicQMysyUzuAAAgAElEQVQhVCx4dhiM3gSVq6D5I/DUYJBPQQ5KGr7ihHD2ZBjzrdaRSb+mAHXPWEZMlZxdYNgXZE0amHo0S9K1ILNQN4T/03S5+YfZHCnU7vmxfoQ7CFG3wHeCCFBpEVJLrTda32UZyCW533lnVNzdhb3GywxfgdZRWgfyBVyzJgzu/OLeGc5qgS6BrDZpae74H/EZmhVvGEhbWwipV0Pj7vgbuzV3vaNO4iI/BFnvTGs1Y1d9hoekCwHGbmILRY7p6e132umZKp1CjmWhnhQ3+PvOaW9fsdS7kiGWeEXb2iSzQU4J15fRDJqzQRoanOdO9l1RMoOigbH2BlmOh7i6/5bmX2EWrQdOGvisDCwp4UWSJhLziJU9UK3ZWjQz3DhYMA/OfiBpibkQ1mJxDOmQ8ovg+XaQUQmv86YMHhtNhMtfgzHfQJ/IC8OC7Ikm+XjZprW7Qc7C1tYWWdsmpbQjzt8O3wIX+HaFcYDbtwAFsovWTpDIDmfv8LsdnE1XwbkPwcLFIIO8f+fHFdJfnR6bifwRdH83DO78XozucDaYkrY4JjNr32k6yDUgd6BpxWehLrAbQT7Wwp9O+BsnalHsWR2Ty95JILMy/87f53MELtoKVyyOYn1AngIZ4vC7BTIWVTSGEgiy+jwQtf76OotzFRfd34K5nmIDQWrbmScjOaNwsDaF79No7bZbQMYYppdjQNbAr86NmhcBaYPGUhvJjJzG5pWnU1rzV0/O/WxsMcUM7OkQWBSWdIRqJE5Q0SFY6oM8CIuWBcngEw+MbgTZcEphLYzO1WmAOQu/54C8k+D4tUG+y79YQW4jolSdaEHeViAP2MzZIyDtccmQFS6wPP/b9+8HeRQDdcC8ClCogHgNyHIYsSINh2dx689GgYHrosog59JHyZinsBePf8tTerSEZtferzZW9gT5GVwy1V3odXOlveCxIIycG4Okv1/6igpyNa6C2e6V1VJYZ8d0inw5Cc2ct0fWbz9AayG+CbK/2fWSLiq8BssgaJ/x74F0KfLOXmiWvyq49vOILPbGrE3u9BJOoQFyAcirJmHTfqeOLQyHiEy5MBnkZtP9pqGVSPhzKEhHNJb8BZC1zm7/4iogOPfff43G/Uq78PBf8moaBBaFJR2CXOJEFT2i2z2fi+iagNJWrhm34oPNjRHs9K0zcZzyXNL4zMAudVAXj0MShGEreRpA1J1vLcih/vsrZHxQjWMjNMXwGjR2oD/ID2Oe684gM0B+Yag/W4B65x6HOR8A8hsbj5OU6aqorwHEibpH1oFBC4pbf0oJFY0mwiXTYOwW6OoYuO+NRvLr9Pi1JPqJebruDL8KoDhieJJowWJLHOPYqmDJd9D5deczeORmkG9Q68nbaJY0V9fAEuvsUKJgwFq4amtmvHjq7MCsx6H3+7rfm/3HjoO8N6iAU3wssWy8/TZEH42garW6tuecUcehmSW/sM+o000rDYjA2hTdvmhyDIzdCh2nmdzvcTKqID8CWYUP98O0e+iUxuOYb1CXxcfRLIwtQfYPgnensxHNxLoE5I8gOwdYk1ogPWH0Zmd42jwbPy4r6msccrLKwcSJKnpEZwso0Wv3/MHmtkHOcali33p7mg4HNJXt8ATH/xJkb4ffx+OzZpbzxTtgLSysBpkHMjqIQGZ4vvuhMVWXmOnv0p8VahUHr4fFX6IWvENz37+7tSZNiCkgM+diPHsyfPwKfDwVui/OhfkqyU0EUVobhqYQjq0eRlBhBo09eF2Lq+54wlBy+D/5KJAtxZgUm3HYXxlzuZSMa+DjaPrpLNdAedpdsD93tfPvZy3L/O5UZ0o80bI/HPT8JO+M+zxKWrIZYk91otxhHrw+F+Yhm+3YsBtBDii+zoEFp8isTdHQdlT1J+N1kUKzEc72IqjGbWEPI6i54/Gy6VHPDVWUPgrylh8eBlUQvabf3dWqEJ4+K6FqDcjVUO/QOIVYeKCrxhIndx/GOlgSLfdyjLeKdmnY3DbI6Z85w9k2MVid4ZeLicBVwMf4K/MvT/v3uqgG62fB6CQb562eJuGCwHlzOwmq1kLLp8IeVEWE94cK362or3WTrloTbkyvft+OqdbXwyGHZ/rwlkHPBY9N0bTRqVlbZzwN+URrd9RLVHDf0Rpqyd3qTGf9VvsQbvcE+SlIS+g/35lBunyr8+/NZ2bGjv5uSsrdBaQNLPwEzprs98xyh7nJpIhgLRtrUxzrGjfN2Ph/FA8eFkVgW2w+XjCs90BQS9L5j8Kob8IKCGQKXn9GCTc+1BX2dnsP9CUnjrvAsnWIZroesilOowRqdU60LmpiA8c2wRyij167Fwy+fIJsMEXr0WQTY6XA8ERhLYRddkW1r/slNH4VLpmpUPeaJ733lY4gRG/00nelGY2Utzmb0oL56cf9sjljYm5/batVgBon+t+21d5cucRCa2sZy1Bldo13vJilNDXUorc9g++aM7jV07ZVwzGdePE+izFzbtatmrGbz/SSiTPcnNtPTeKMs61HgeYW57lMGVmbcuFu81pUOEriLELdxj8DOTHYvEdHsHfCxq0Gu7fte2oVhsIjyHHjO+7IXEVmvUNBeqJK6b+A1PPWp1NNy0gF7FogK0COiooGPcGR5OCxTfL7C6rpqjRZnorD2+qrXKawr2hgetpglftB+iU09myQn7r8bRdY9Cm0fS4tdRLMzNlkeltvfbm/d8FjIEd7bxc85qZFpiDxhxvTNHoLGqPRHa48NUxiFZCRIHcnvablSovl3NBkBN+6/O2vILf479NPzJNTYpHo4tRA6qoFMwnLU3B6jmMvUIbWplyaabYhShzpGOMlThcpkCvQZCGutcLclRLjI6CR8EI8vPVn6P1BANft/4B0NojbvWH2c4Uu+0O/hvkf+FUcJODaeTrIx850GqPrYJSdp62Vk0ZXL9zmG1WLMt4WnNIHKzw5CEYsTyJgEw3kdrQc6Fr3W+11rZ1po9ey9OHb3EHldT+4jzlyE8h8723kJud+xn4Hsh0tILoSpAqu+8L5YqxcjgaJS1hXJ1TD+QUpq25fLlbQcm6o9lJc/mbXkPNfx85NAIJmx8G4bUn46IMcDvIxvHdvEoHW7vTc3kNsovk7O5fJOu9hmP0sZWZtysyl0UTlDfJjuTttMCx8CzG6ONsC7XMgI93faTGzcN7Z8a8m4wVNlLqQF0EuCoCLESB/Kv6OP8HBi2dHnLjxiY/fgNxUOP+YLaRRdZzWVk5ZqGD6TTB4YVphtbOeVCUljIJMA2nq/Lew2WoumwYLl4D8IGk8h51X6TUslS3OzJglgvN3QuNH9ldm79YLoNenhbEor4xFA/fHazyQSGHzow2Ux0GuSHpdveHptEfLIbNUOTSbOXNlCEGGw5xppvANcjzIvATmeQ7q9jNI/12z36/fCBc/GY8VwY2er/kc5LTS35u7s52ZrIHr4MREXYCCz6dGMK0WVSaNs//bYqa5MWosT/GeOyCHaHzvhY87jZ0RHNtLRslcIzjNEbVMmYFZcTBgbS7d9FjizfW0hn5Hb1Nh3a+7+z1t4bp1bnMJIjiYV8JWbouDD7TP7QUgp+QJjIszJUMkC47orOqRdPq/ZoxQ3gJpnjQc7vCdPTlJ9yKQZ0EudP6bCTO7TIJ3/pomhlUPjLiDM+OPecq87840GdIGtgGZkeSaesPTwM3Qc3Oc6x5+DunZNy5rL7jUTYMjj4DhW03hG+QikFhLTYAMtAWncx3+9jhI2/howWnfPzcCjV34BzHFze5oLrHu8xm5Hq2zVTvMXkzSW8f2HvnMbezM3/Mtb3MEekgpmP1ba+bMhI4v633UZxZ8/KKb8sUU/mwFtVt9qJ1BToQuM/0rik26/8sZsGBhHEYJtETBUme85mfdFV/8nm9Yot4AkQFeBpdzSCKpj7qO1Ekaljy49kMzsDwNY7ab0l4EhGUKSHvnv5lgrLs2iEuj4mPOJ2hAe5NJ8fqgm0oBHLUW2W/hW9kJdRX07aIVL75//qgzPTeckrZzsFzco0G+Bant/DfTFl4ZCHJXTPPaCa1LNwfkCJd3/ggyIl6acHJnlLogv7XvukqKxLiYgWPHcol132v3dwaZAQuroO+q4Mx7csJmqbGVdqo+08yzzWeq9aH1zGIJWkrjzbXg9k4gX2EnkgHZBXX17BQl/ty/v+4LkK91j1eu9kvTJs9oNDPf2HjoXUaD3OaOl/GB8BwIljgmbB6B5XE5hySSq0lJMDvIYSBX6WEsX6KVwC9LgeXpPpCu3mnEewpi7SN9WkqQf4KMSpom0tJMCGMayNt/jv80yvEpcNyZvo5fp+0cTOO+cYZTtrsx66aZbJBfx7Fv0cK9L4M8BbJnkfeGUiKOIua1OAaNcZkD0iy6ceJIQBFz4Lq7YGpB+xfCMe/JCZulxgb5P5B/ev9u5CaQV0EehIHz/OAFzVL3ocNvq0D2iQp/7t93fQtktzA0bebulDo2DhyVNOZpQt4BOadIQqnY7sI6lOVzwgT4y+Gwu/3v3dF/V00Auma/aVl16+v7+x8AK1fA7DEiG6pjBtjzk4H3rNaw6C3Ler5+3PBaFhZwItAWaAf8GHgMuAl4WYQt+t57b8KAUzJrsQkYUAWzx8QE6tfAbk5/ENlQbVl1mylN/PgA2LoZbmsEd1leOrYs9oGTTs/QWM2zO9pf/I9lcSDQGjgiifHT+Nh7o2up99we3W8dLoY7Dobdj7Vp+HTLqtus2L7T79q8mEf7Jb8L/qxcoWNk0+Mm4JhdvZyD8T77H5CmfVPk+Q5wOQ/c8L1qRcCx6gNPBPzW02NZHAc8DjwCjBTh2yKvVwEXRgmPn0eEeZbFBej5drdl8T6M+QO8PCD/7rasuk3ghH/Dj/eCVV/C7O4iG2Z4G+nw38G4y+EXtaK4s+I/F9zPQBHEsqgdbi/m74NPgHuA7cdZ1hkTTfNTefxafXgRmIlu1VpAY2BVfcu6fCYccTJ83RR+VwJm0H9/8BJwC/BjkAY+8XImMD37BxHetCwmAX/E9bwNe464fV+1QISv9d+zx8C1F8PNe/mh6bB3p/2cA3wqwqKQ/RR9lC5OvwUa/gxe6QP71nPGy8tLoEM1HH0qnHONyL3VkQEVh7RoXvp0kzqv+QJkAsiFIHulyULlRRuVrH+x1AY5E+QWkMV2+z1IE1xcW3LnlUgWqdtAhvp4/2rUelZkPtIA5G8gX8CVVWnSoNva61uTGHtHbcG1dnFnGHI6G7psLvTxlli0woWw1ZxtZ94PXVz2zaAFJFQTzhlu2QKya3F8zxF1BRktmhK6oknAsV4HCfStx/4vRmvjdPf4/rEg85NeAxfYdoXXfgeV2wvvwj06Qtf8WLStXtcFZCx8MDmqOyuKcyFczJKJ+kQ15061FNafNMefuPA/kkkEMMf+t5dYpuJ8lF+8oIV7L3P4fXe03uTFPubkM+bJS0bcBXOh9TNx82Egfydi919nHAzaAh2WucfDTbsRhlZHaf2NHLnRINON8Du+BPJL1G3hK/d0x/Eyv+4bYP/DUJe4C0GGK3MRJ0Mmu6CBzH9Fa1x8AHIDyM+IMS1pCPh/A3K9j/drgUyFmTfnXkaHHA7SEc3etwxkFMiP0iV8SwXI5yCHJo33HakFdatw/67lquiCZfMVFQ2mJH2+Oe+RARuh3dLc37ov1uQr8jnqt554Fks0ZmC3InNrYqpwLZoY4ScRzMFCs08uB2nk/bvTj4Zx27Vwbjpi5XLhc7vjz/3OheYXe8DVrqiL0XHRwW3a3TMs831fJ2ch1G/SiOjrZJaOY/FemqJ0siE/Bdulln1uHehCV+eCfApS1/nvXRvA2K1BBZvSc5H9QdZRRCkcDa3LLva4jngxN44bXdTE++a7q1bU1/smWr4tNkSbRaYXzYLsBN3eNnmQmV/8cdtBloK8AHI79J8fNbxogG4nkAfQ+KXpaB2Bw5Je1wBzGQ9yo79vrjuj8DKp3AZz3wK5lLwYiCQta3lzrQSZnDTOd7QWRDOrl4abVXJMJAe1MxzxXBLB8Od2scnhIA/azEYPXLLdxQO7bAbZ3SRtuNOLbDHN3NjCwL9B3gU5yB/dpEMp5A6jqxCyzeX3dR7w1RfkyWjhPut+kwJGGBoEOVSFxfs7m0n2E238k3v/4/L+a2Z83QfXfq58ojte0AxvRYVzVAF9p8vfzgGZHh3NSXeQh6Oka5dx24K8Ev04/uguLq+Qsox5yo1nOeMCWD4Hnuqe7XsrwjbLWjQfNp1i0G+95OMUYwVtj3b2r50zQ4SmmW9nTYRNRwWB12Hcv8AJtr/4+nUw6h049yygCeq7OwUYIsJnIaec5LMZ+JG/T14dBC/Uzo0T+WUdaL5A5LUH89825Bcc6rEsdgIqgfZJwrFjPrPHwIDTvcbtaSwcj8CABTAQuPOwzHc3AEOAfWKJO9JzcNIoGH8bVM3WcyLumE63+KYD9xR5pF3+2yJUAZdaFmegwQrDLYurRXgpBmC/f/S8rNwJ5jxtWcs/zcabZVELOBVObmIodusgYLkUj0Hy9VgW+6Nn+CfAmSJs9v6195jh5B7XWJFvYNMeDr9/Waw3e02vAgYYBzXnuXmN1tD69R6Zc2HkZlhxQ7D+DjgwCA1aFntgxymLdJoEnSYFGz/7MR4H6LH/Wvb/1yLa8V2fgngnh+caYLZlMVmEaXl/OxGYZRqoDM93ejP4vNqyHq0fc3z85cD90Q/jl+5iirmNW1qNQPodjksKWGcN27At8P4kkJ3Nw+I03uANMPxrL5JwUI2g83fdtmV8hTcKXPkVPH0lLqblcmwgQ0Du8PdN+aWqBekch4bnv7VlrIsdX4ExX8NN57iswzEgi9DYs1r6XdNVmcKU1bHTE8gwEsyaBo3vC6EZt0AuQWMGnsR2p4o6W5nLeVkF/+kJchfqYjcH+s02ZHlqBjLV4JqfjHosjCWAe3U5nIHud6FjzNO2UjFPIK1B3g6CLx/rcijIWrjq9Iylp/F9WmxZ/uR3bJC9YcRKZxrsMws7bbbDd7VAHgG5x+R84bYLw7oABljzrXkxT0Zqr/l027sXpI+H9WoDshDbJTlzjg1fAd3eMBtbl6z1GGQPkPUg9aIfy29a+XgsT5EjOYZFPAGkqjjis03WFxyPFgh8xfTCuy/aqY9736j+3cTSkPM+/nWvqA9dX9eDyU966fJIo5yBVyyQ93AJSP1fM47vX4D8xeH389C4wCtyf0+WntCA3f7J4WvaDTA0VPFe1K2tEuQzeG8i9FgSJVPgvmZXr0aTyhyp75kqDi29Qf5haL0vRWsidTA//3Sdge4puCuaaC2fduvgoq/gvkke8DYdh4B/s/DKIyCjHX7fE60JNNxHX4eDzIN37imkwZ7V8MEDaBzOeL5PjlWjcOgzC+a9DbKLwbntAjILXrg6Sjd2hzVvUuLfgcb3swdAqkGO8YinySA3Ry3cJL2H0QLMT8UxlgtduOIxLsEylolHvIgWWuTSc8wOmlnuN6jG01jwaDGNXpSxM6V9hWva8JWopa4pyN7uBJqegpvO8w2+OZLW2Pifq5yH1j5JLDbkv6mB7AuL18O5D2X2wUsjbcHp7ML3k6GnzF69boNmWUokicl+ysj/rpkZhkZ+CAPmRM0U+LG8mDi3bYF8fEhc17L7qQZpEJ52yucMLIGXfez7v3GRd04HWUKEBeftc3oxrtkb5RA0qUcbD32dhSa2GFCMBm0B6+9QtQ4GrM1dzx5LzPIY8is041zqE0l5m4+3MwDkIFXqeJu33h+yGlo9HW1yjVI1sKK23suTuNTYTEODy0/UJB3RJcRJfJKGFvJekH4Bvuthb4wLTRBbUtoA75anbm+g7gMz0WrZ1faBOB4e6wc9qsvhQjWTfjX5JBAeafQZkN7xjVceAnS08x+8PncfDN8KE5qWxtnorXDew/EITskzv2jB5t8a6qs2yPkwYrVXwSb4WG7nR9+PMO6NUFFfk4v0mxtC+NoDtWrMANnXHFyNJsLAhTB4YXDXp+TPCpD2IAtwyeAI8hA+Slr4n3+HqZrZ9/GiFmCQU1XZICcXeae7zZM09w7H+Y9Gy6jLGbaAaoT20tC88hCoy/wjPvHVVePeRAqbqeQa2fBXS6acQqPFap2L0uol9VCXvYqk17EIjK1Bno90jKQnaQhRPUAeDPhtY6haDf3XhHfPePpKzdyWhBa6mK9wIRyoJvNINObgJqhcloTgF2y+6fXZNyOE1/TR5U0YvRlOPCo+2JNnypNdv1DZrZ4GaZtmGM3BII3RtP6eLlC3fYHGifwCjeF5B7q/Fb3lyYnOe1TbsbBr0VqBoYUoE/sJtVh8iLpnGnPDyur/QDTdsKPFJMq5GZ7H/SC/d/j9cNS9bQ+z4wWNT5Z29r45KO/3WnoP+/eGifI+ROsYLQRpn8S6RkcvXusnyZ/xWccIxILK5dEKtNl16K6S3Hk02xDF2JkzvN88raGUXr4A5HcgYyIdI+lJmkHU8NNgzDdBTXTQInS9FDSIdw3ccVESVg0PvsJF4UizQFIIqxPzOEdU65KcFtQMs5RkoeTkmfKkW5h9gMYf/Cp6GLu/k+ReBamD1oTr5O19J5ruuwrmzNQzU24FOdH93Qj81amor3fGpdPzhLn6IHebEKLCW8ilMZq8opJoEx28jM8YqrSdFbi474HcAfJ/5scLpWS5GhbMgbMn63lz1v3w0VOoZfFHcdNZCVjvALk3iTWNnmYq6sPQJdBnthvPAPIRyKn++76mUZTJNTLwN1pcuPajHe4GCXU/pE1ZUhpeeQvkzEjHSHqSZggoLMMaTnBAi5QtLWftjPsB3HRV2ty3Ctd8jkD375Le2O447P4myEBvrfub0WusHC0AFnR/t1wE6PjX0BNTdCGIb1x5tVaiMUb/gNGbEg4WHmIz3B7jANxw2mk6DtaUuNxqUfeo/Vz+li1E3RREiAopiPey4bsghvXsBTLF59ympu2sIM99zxaovgDZ3/xYYda2oj4MynMNvnJDUA+DqBhbkOZoPTbHrH47QkPrMzmGfID8EGQDAWPlYOoYGLkBRm+LLO6GFjPVZS8746v3YsLex0mXsqTEmlaAbMSnNd33OElPNDyiwi9qSIZpV5A3QMYljYtweHQ6gHsKDLeFE68p070wgSZd29q97Kx9iX9jw2UznC/UYctA7vTWhi2LiilxWeNP4I0/glTB9V+mAY/p2wdek5FIPfuy9VwM1ct4qKVnKGql+S20PCEMsxRm//F9kgjvrkVptWqjQflFGWs3IcoLDoMUTLXX+g+2EHB0cBr2vr5oNrj1ID8s1Q8am9YZrl+fxrMC5H54+26Fd/BiGByJEi0cz2CeETWtcADZC1UIe469Ksdm77VKl7+1AnkhRN+1QOaCSDSwV9SHThty74GrBF6Qwt/DCdNpPcNd8H4+yLTIx0l6ouERFX5RlQi7VQXwX7bQCu8PsgNkoVE8NHkKOgqMEdVi1GzIOSUufa8+xOa1ZIU0UKN9abcuLqsZyCVaIyg5QT543wPngZxia0S/NLk25diCMiL63cgNGqtWKp2q1ANpCj3eLrbeIGejriMvghxrBsYwgpf/JBFp1Vqibl4HeHw3S4h683bovrj0WffO39Si4A3XNsP6LMgLOGRD9ba2DaZAF9+p49VtrNsbWYKSQ9B531WwcBHITJjcJY1uPNDjpKjdpTK4HrIpyDjlwIjafE1i9eNinOcEkLEuf/sNyA0h+29sr++h5mF3O1ebbdD9O3ihxieZEKbTeYa74PwmkF9GPk7SE42OgPwwrBX14ewXoc02aLkKGk7xqGm+Fq3B45jlpxybe9HL8WJnkJkO8gSa4fB2kF+CXKU1l5y+a/MsSKNMa/NstCblaikMoIzuUrcZnokgC+CetmmOeSqd3lROhKo10PTBcshEmKbmvm4nHwVyEppF63cgz6FxLOtBZrhbGru8AbMehVEbofdHptYipJXdV5KIOGg6HC5kOchPfH5TX5mS4ji0hd5lmjK3tJALchTIPDT+y7ebUAbHY8Tv+uq3fVbmro9b0HmHF7EVhRkBfuAiGDA36fUMS98+6aAFLFwCTSb5V2CkmxFFk1osBNk9aVhimOv1IL9x+dtrIOcG77uiPpzzkLrUjVhhXoB3u89bz7ThvwXkajNjOZ3hvZalYc87rNt0kGaRj5P0RM0sareQLiyBsua0tJmgg8LOIU3NfUOOFrjoCZAzUXN2NzT2YSzI77VYrdN3164HeT3Trl1fjIEPTgM1a2je37cIDZyHujb8qeaiMeE+Yd4Fo6a/pqvccINaUadh1xaJh9bSkerYzFzcGKJx21HL0SSQkSAXgxycYUDdvrtaolACBNV64zNJhPNaN/sPjNqSlrXGIeuZCRyiqcUX47GwtTLishqkb3j6y6/tV3x9M0HnoyUTMyHiJ+gcrUv0ZtLr6WVtDNFNHbTobaDMmmlRJuSevw2nqNXysuma4fUfkcRvp+3Mt3mYOxx+3w1kEwEV4y5r/DVUNDEHe3EhHORGQtaXc167di/D5dNh/mx8uKjHtJ67ofFOkQv+iU/WDMJuu1DjNfwzm0G0QCDHo8G8jZKeu3lcFjUFu+LVKx6j0rplbex10Qhn2Qf+6UeD/NFmviIP6A6Pl5pDvFqg0pEhB7nMZo5jOQzTwkCYm48b09Zhqn88DNkELWZEs0/c9l+fWRTJ9IXPJBEufewG8k2YPsyumSwFOcQcDr9nWu4E+buH8S2QYaj74Flm6M+78siZ9q4Sv0HnaDrrTUQcoG1ibQzRTT+QV8LthWRrDTqvfaVkXPWjcnVM15kPcgXIPx1+bwryhnk6bP6VqfmWwifI1Tik7zeEt9iVrR7hCrVuvsZKerKGENabgOk0/Wqq0FiFRSDd451jPBobHWfYN7kbstOGUhqTJGOecvv/f/bOO9yK6urD78EWy7UlMUqKKGqssQalhBKxF6qNIsVCE2sTLiwAACAASURBVATBQlNiNMaoURONpmmMXVSMvQIWUFEshCLlwkWUriACKmjW98fa13vKzDlT9syei995nnm4nDMze+211y6r/ZbdzdOb3sEbYNoTWC6omcx4FvOjRjS05+RvURTN4WcRCUN7JjlOrq944XDDm8OFC2H4F3DaBB2TZCzocPPxpTkhPReaGkerUC/qnnpv7ZpzxqsK63197FAIkPVkJBwIZCFIo/DP+a9hKELZQpAdKrS9JYr0NS0KDf7yFzxs2V9mx4jmuAZPOgeZCtLM/Zgmvb/I9kbZPcx1X+3Ii9fY1/5tO9Qxe2s+WudyrMf3o0Guj/7echE8tmvWeSvhIH1A/pYg7w5GPeaZOQeBXI5PGKbta3M2jc/hwNRojy5ZDOuAbfO+WwcsXVx8Zy7HFsBYYJwI/47WXv77tm8EB14FuzVUOqaPEllT431fuxfh9sZK5zqg71G53PZtve6P//lyNZy/Myz+FFa/DtVDKrUjsqYml9u+LVRfBbs2VP6V9qfwvsNbwNdfwH9OsNeP6aOg71GFvLpwsX5f+VM6Jo23rXsX6L9XbQHHfCYy+RM7NCf52a1hoWzvDvwW6DhTZHI3gFyOq4BXRXjVHV2g/9+1YRqtB517wT9ecte3upzc5XJ8D7gYfjcYuAm4ToQv9bdmgdeloJ9cjhwMGgovXwnH7FM4T++syeXYFRgETMnl/jsZOh8Kf/5JXn9ut7DmfArsbF7o+vM/oEHYhwrXsF0OBA4AVsBh10J1C2jcU4TP/J7P5fgh8AjKi+YifB61A3Wf6aNgYEv4809hIPB7oFpg5QR44xzvMfObgxuB31XDUz3hmL7l1vO8z+tAU2By/L5E/wTdh2J8LgOeE+EdS+9L7FN+jdutIawErqduGvQ0f0Mya7HbNd/nsw7YzuP7FsBfor/W71y5BbD/wdHfW/gx49nN5+e1QJWttkrb5v1cjrHogaJ/Uu2E/LQEbkylJdeaYnltOjDU6psgkWJJw1iqjFX2KSyENgVwuW6JwgLvlwTIQlxe2GlPfoZCACdQ/b3WGtPheQVBkIo1NLz7331DXR5A/pUdZKTyfaoYYtQYZCXIj7NElz0ZKF1DvMe5S43G/FuDz6+EtncySDXIo16eB31XZUS3cPTJiSgowRYV7quCXlOTCRuUaSCHpClrZWiZD9I4noy1r1FP7uWi/3avEN4svwBZgKJ8NbDXl6pGcPwkOOXLOtCj9x8F6e3/jO8cnB9WzkC6gjwcj/7s5ML49HF3s1+lulZG52e588V+z8IpUpfrNlM0bG+wA8/TyU85HNOWIK8Wfbc5CugTo0C2H4z4TNGcsuS9NSCngjyZcBs7G++T8zXdnJk/J6W6ZE47682AcAd4kC3QeOvIB3CFdTxuFZzxhdk4ShQxkL4gM6kQjhG8Tb+FZMRatFbMRjSv6gO4ZLW3C/jkpTY3GxdudXN4TDRuFg3rnE0F+F///o9KlSd2+/5Iz3LQvSCPgQxPn66qRtBjQSFd5y+zI8ee9axq4F+dQDr7w4OP8uSRZVlsDPKkkcfjyt/7cE8YutRGXoRZJ2eBnBzsfvthgzouQ5dCz3ezcEBGw6/3jt6XJh/CWVJY1mGIwCGeBWdB2qM1ss6y2w+/PfOVK0H+Ev65KIYD2RNFLwydB5TFXBifPt6HxQT8ZGn128s6vgBXtYYz13of7Iclxn89Z3XbUGSc/BomfgpyHRZQiyMY3g8Deafou8NBZtjpb9vPCxXUbvNg6h0gd6Ugr21AJqbQTh+QV6LMfct0NAV5N7X2XHbWmwHhDvAgh4DMjN5eoCKVrY12vZe9fvodTs6ajMZV5+rurXSot7PYuag/gSLW/TfpiYfCdr5IGat7maT/0HVTXF2Fm8dJT0L1J3BHBy+PCFpMbh6OEr21AvvABXUewrkLiFjNPW+cc4oK6TVfLl6hyvogH3jwy4vut5pkvg0K678SLXGwZYBnYtcZyXtXfyP/geZZOrmDzpPF5xLAIx2sL7VAC2sFWi8tlUkZieYV/tJ+P/zGqv1zVEDBswVcYPq4DORn9uh3b6Cq48/Zb8PIddB6P9c0BaPbby+7eBUM/9w/3ym52oj63pmmncvzFIqjHwa5H/UEexblDaIURVljQH4OMqfou8Egf7XT5yf6Kkx53fxC0TgXkDDYFMgRIFOTlzXZDC3ZY9UoFIGOS0FuSq09l531ZkDwA7yZLK/DkKVRJ3yAsKY90Ur0R9vtZ/ANozwyTvlnk6LJHh8kh1rEWyUrV7IZyNOUKfwHv7rfu/9NxrlERgreRy85OW+JTwjqlmgI1ynu6JUJ5MH9oghWoYFY0EruR4L8HmQ2jPiy3BpSOVm68P6YfcyBdEJBBO4nRF0hNBy5lQUadjQH24PjyVJ0ZSeLB2SVFdnXXl9q5efkpXltbG3GfQoBC/KGp8dvz+w8EY3KKBumaZGf/wE5wx79bkOjs6jw19FVSZHwn29pgRmEHWc0rLgG5C6QH4QZB93ffz027BoDg4/UMLqO+crNwyDdLM2JB0HO9/j+WLMnhKqZF7LtEsUwwbZqawBaTcEIScNTIIlA7Hu256qj/gzwm/RNxhXeZ2dhKzehUQ/QdJAL7PczbHhivoWw9dIk8nBcbRYgA/BAvEmgnR3Q0Mv+3r+/+We44POsbZbB+xdGIZeLQJ7BkasdzedbRZ7XC/XwziWA9wmNS/81yC1m0Z6FVhY/orJBJC1jhOwL8rxZQ1qHfHZ7tF5FbK8gyB9A/hH+OXtwylk8IKPGg9CeBOg4wbsvlxfsVSA/Bnkb5F6Qre3Snn+Abr7Q/6AsMwmhNMejadK1Wiy3cshUIf0tP8qaYq00ZlHhj49q69+v8uVI0uAn6pW5ETVYdwPJ+T83bJmR7xUgX8PIDWHWmMK80loU2s7rYfCXMLx5/HFqeT+M2qiFcqtaFCu8IHfgUWPKHr8HNSlWDJOVzfcfhfOnu8hbRI3jqylTbsN6m2k1FJwJVY00ebv4YNO+xghcDmQ36PySjYXNf2Ke9CTMeBH6z0lKGMzkfRMu/CjM+8ssQv+Jm3Rr88AUvE2pAvmUEFb5GG01Ngtz28L+dn1T4ZjbnlofvEzefTv9lSCbB8iuaPjYz93RKv1A7i39ftbr0HWSN9CDbI0mwd5p6H8LZETxATiYpTJfzpuMgy6fRFWaSy3Bxx9gFJaVaAhIaMs/yAkgEyzweU80yX03t7KZxYOozAQ5IOQzP9dDm18YdZfafepIVKm/DMsGilL5ninQ/RsP+W0BA+fD+bOSXsuUpt4fBZlDPvT75mW6k48sKvxhI1Zq17iLl8PTA735v1aClCOxL7flZER+CfI+yLMmlcFjHHq8g9bc3EUPz6F5Y4pDDxM4T+x52T37uUHlPP/9p/8CZDEJlAhJAnCocnvFOczpzWE0dy1y+k6kNtNsLDgjWjxXh2BUW/V8rWjsqCzXw8DFVoqhegv6+cvhNQlaLyPmoF8Kcl18mvuug95fZm0DCsGHP4P8NqW2WoEsg6vbZDEsI0J/tgMZrcpf5c3DWLxCyVwCNE8gL2RPv/M6gJ09H54ZBDIWRUCaADKICrkVYY0AMP0FOOu1sEqzjxdrI7w3FmTXGPyJnO9UqMwNqoHJkeuV2Bvvl39TWj/Oec7TdJADA967hVHUV8LLY0rHvOt6RWusaoQizy0nZEhs0GR370PiTNHD4Lfy2yJd5FS/g+vwNWheZd41fI0//cM+0Xnofg3OmsIPklOwFZHSq/y5Bw0Tm4lBCnZhJC1sd9incOarFfKRtlDjQ9B9LY5Xzl7kQbCw8G89wx3R8GGrecfQ4r40Zdf1XEGNlLel0da3babZWHBGnDfTe4Ho9R4aClHGlRt+sEoXkmcHw+Ub0xAGFLJ2dHyaDxmXpYU+Ah/2RT1CW6XU3rkw/LN6zrOtQAYavt0HV7YKEBveBLV2be+Q7pKQPf3eb04P+QikNwm55NH8r8/Ii7MP/mwymwYR8528Dwbdqx0rKc1BlsHoFlny6qJANb8IcN8RqBX8GZDd9btnBsFlq6HTxLwwnAYg16CJ74GUsvLj9m3h3V1Rg08fkD/C0JWVDtBpH2YqACDtVXh1ed2PfpCzQJ5zKRd1fXrxErjwK9cKv5535BiQSXCZz5514cJy66O+44OpcNarWYCDN+P8fLB7r2wFgwKBNul8OfphDZdrfm+4fDA7Oa/+c+Fyz/ejOVa/s8TXrUD6V8r7tT+ebr20KGpzqoAVqTUUjhED5lVa+JPKz0HDLVZAtzfTEAaQP4EMjv+e7IUYhO/DzNfU6phWjO7AD+sjz9D43rNRxJ6nyKuxUM6iaA53b4L0cEy/T8ieGxlGIV2nRHs2CUjv6PlOri2AhTLYcbweZOYtATnB+/e0Y+Pz2770U/hTGbpa7wdyPQq20Q0Tfgeym/nuiKIxexwFPbGohI/+SvcjeQ3kHyAXw+kTK++P6c6lcCFT5cAMZGtSCuEu3x9prHz/47GuFH4KlCb5AKQL7Lant3HkrdtBluCTMK+yfc7HrhXBvL59Dw1r3j3Y/VUtoP1G6C5w3GrYuyyAF8h7IE29f+s8sbJyk47nydC6K+qpPiwGP43SJItAnoBTnv6ueJ7MuSb9WpVpNhacGXOrodeHwdyv9hY21Kv1EUi7tIQBzd/wLWQY/D3uD03x6K9qBOcuSXNxV8tUdnnmdchU2ZTp5jAVKlYapCfIG1gszhmtX6Uhe/q9GxlGUfoihYwmQTMx8p1cG1F8Qoo/qZ3HrkBp/NvutUi/9/pt8EaY9hh5Fn1zoH0iX17QvLLpILcTAILem7Z2Pnkdp70SrB/FHua0PU9h8lkqFXCVv+Kg9lzeeG5mFJYhjtr3UJo03K6Of56lJ5qBzEEBSnYufGf2zgco2M8V0WRr8EZ40BcRD805vaLou5zunyN8oNrtlH4JnvNUYNjsAfIuIfNjS5UmNeikvc5qewM+c7OuywEg81KX37QbDMCIXUBWq4UlPYsPavF6q3bRTkv4QB4BOS3+e9JXPuzywQVMerpJleFpK5a/QV/AnFkgJxMyCR1FGlxCAnVmQtLhGbLn3+dU0B7fBYmULJ0EzcTKd3Ide+7XfpuxID/Qf11ZKP1oO3cadJ0chC7UAPFerZKEIkQuRRFDIwFDqAy19cgD8udLJcOhi7kUxphZwUPeFM0DcYUEOhxkPCkbmSopTQHfsQ3IzWjB4pPqvs9eZAqa5F9Tic/+83bEWopgzeueeaCrgmTUGh7HtESjNGbpb8Vzo0sNnDQFhq6wY4gvkW8TstxntoZYFs9XyYE8h4/RoNSQevA+XkpTBRpi9anCWP4I5n8GbR5KP49O+oHckbr8pt1gAEZ0AHk65TZzaC2OeykoTnvPGRrakZwwoFDGx9l516wpcOYrWckpCEe7q5CtqkZadf1y0X+zwTP/DaNZxFACuR7kn+775R2yVzgeqRpNfqTGmui1cPKSoD+BM16OZ7Fseg9c8pkWDY6KllmSDP01jA1dPytaH3xryGwAWRkWTjgd2gYs0FqB5ekC+SkaQnew+X8fNHwvVg1AHfOZUgpQdGYs6OjCA9eItfkhilm+zH48G5+wq9K+2VsnQA5FQ6hCF/uNNi7fRhTEUpo8+tEKzb27A2QH10YVfzpnT9d91xNddSeQk+CCGu+52XkidbDmXfk2rLaqkYYyFq+Br13Dt0aP0n0GTaG4JGHZrkUW/qnHb410jSysPecPSjTjRS+lKd3xq+XjgAWKTJ3++cmc3Xum3q5Lxvsw4gaQESm3OQItYrh10fe3+lkCLLb9OkgzC+85Ai26VrFGThYvxzGzubx293bNC6UpvjJZt7B1eUMRi/o4XWgNryfgEbLnkJ7uII9aetdAkDujPWvPU1B6MPhXJ3MgPCh5fpafx8kBbPgfput+O2WphuaUompVpvtby/AoFAXsFrS2WOz1om6u14jmRdSizB4zyaKcXwXyx6TH3yK9w0H+6j/WieQ7bw0yA6Rrcv3yiyiYO8+G0lTUn+1AbgP5EB7qnjVkWeVFnxWFNJ2/DN69Fw2D/RzkJThvWoW5mQdrLo2irjFoBIKvwm5xXG7GByDC7CGvkeeNy67i6y4Eu679JuOg2zdw9PJatNPU+u+S+T7CMwWkZYrttUPznH5c9P1maJjTXgm3P4OQyEw+77kbZJjr8YtOfxLhT0Ghf6saKQz+0BWKZnR6RQSu5PkRb8F0vbB50+QfsueQpnvwqAAfVobMu/YwSkroA1DSGySKblVDwvWeKuezJDXP/ZDqysESrxXoXSbnqSAPpw8a1r2LHujkaZAd7PAs+cMRyN6olyyyhzXNC4YepWAZnSeWKsMtH0hGAZcbQR4kwXBB/7Fu7uuNtzD2x4AshHfugVYPwGVr4eSnXEdZ+POix1sgh2MMwcFy/GphzWUl9Jtb+M7ay9/wiIa1ryVizmLI8djb7BMlhbNR8IPXQC6o+87PkNr1jWyOXxoG76pG5erBptJ/l8wvZUbL+2HUN4pRn0qi2UFoGEYTj99agbybbH+b3qOQksfG0phBGqKu4J1cj2M8nvQ4VDfM+CFbQQ9p3vcNXA+7N3bLi3iFDLNoraJCyJ4DehqYA+XucWSo6J3TQY4KT0vyYauo1+QtkG2T5WuQfJxTntZDXPR5DrIzSGs9bHnLuv88aL0ULl4B/+xQiW6jFK8A6YTWKrouioJcnl+p5Ne+BnJqkmOfHD+6V8PTF4A8AqO+9p4rJy+NGsYHcjRqRN05iT7VteMMUXQHkH+ioXw1IOe5H+fgvAgazg2yFwxdEnbvQ0F6JqbXd3kKH6AwtGzLt0iE/mvYyHWot2woSMMsj5/9tv14Miq1M06qzPZnhIvkVvmhWUi6+PyeWMie7f6C/BbkFtfjaGFMjgOxMvH8J9dp40FOqrtOG+99X78P3POjqoUmko8UDeOZGVhOMpogPIGMhOzpHDz5KRi+zm8zjqKAonV+rg5PzwmPp+B9yIH8C62JYe3wH42W3fZUQ8kZr2roxSHj/A6+IJuD7AdyBsjvQJ5EE6XXgEyCCz/yk/Vy84AAIdOogj0RBRBYTkIw/3WHw17vwcUrE8qvPRdLIarJ9b/jeGg6vw6ZTPLmwkUfg/SG1g/5H5xq/w6+n6K5NR9iKfe4fFuuAV3kpLrw0FKvXrpjnmQI7/nLQhq9riYi4mpAmS7O5zrOKD6eXk40leRZXbP9zou77YmW2bgDjeh4Hi1hUpXO+J30pDvPU7laWikhy6bRSGVGpA2rKluCvAxyjc/vsUP2yk8ce/1F47SXg+zjehwtjMtwkOvtvOvYSYX5A7V5DkNXolYfc/kVnLxsHUhft/xoErnwsetN2mNsMxOy570Z9VwIj/ZGrXh/B3klCrgBChc8LSRvdod5H8N5S1PwPmyJKrFW5pk9/heE0n0EL/8GtZS/DbIO9fg8AnIFSHsUHrxBeVnvOwsOf0wP1fnrQK1XSiaBNK/Ar0HmnUsrKVqWxmcz1DNgPT8RrUW1moSKTduVh6FmrPLzwFovrQux9ArZKc1lC9b2wAUwaFE6ADVefT3n43TzRM5dnIVw7iSN5vruX49VIJjhn8MDZfPYdL2XY+202/QePX+cucavbyANtCRP++d8lKstjHJ1duF7/bz5sjXI6WitudUo+NkJJJQDD/ITmLcYznOC8Pz/nqdvGZGelVw1efmbETJPiExihuxVjp+311+Qc2DGS0kgD6UvB/IwFqpEK/+LF66hotbMYuhhv0l43GPmwPRrN7yoagSd10eVE28ZPH+ZOytjdkL2/Mf8oo/RZN5+IL+Gto9E8DxthoZ47R6QL7ugyGKDgoamWBiLnUE+gPEjXawb/vwfk/d3/9lonlFTkO3Kv89L1s+eD49NgAEb/OLiqVArDeRAQ9/neKBjJccfuYyEkDHR3NhBafUlnjwMk1IEwm7z1CPfvqZOKW4vhYpT7VV+nVQZSN5g4d1u7TzvOglmWQMGic7rFve5Gfvk1zyQE41BwgfWXLZC851ieWwK16Ex4s3nrpNA2sCVraDvygp5XIehYeW7huzvD9DSCa+b529GQTVyhbQGX/sL72/1oCmZMiytPcubnv/PeUrVSo6imUwvN1GIGbKXBuJUndAOXgfHrStXgK2+XGgYZWwPmj9/25ZA/5ZPNpfWZvFJHYEPWj+oh4PoclK4sB3/H6heBtLZ0dhOIDMhe8GMF1Eto2aTvqAyHbI9yFSQK9PnwZiWCt/rwmpYLuTCeywqv9MLethvHWgyzvD/FXzAidA80trnEs0R82jb1Dq0n8MK93eBSz7JkqHNXx66+ax/LRYWfu93UK2ErhbeOJLAWG9hDvZHuuX1ZevwyP3eVC4UebAE1tz81gJkavw28tebyz14LGJKIrys3rDKsoeGgY+N0e+9UG/9XBQGfxSMbhFmX/PeB/uvdr12KF1NxsGpy6D9N99JtD1lQv/VKYSstDWTZ88y91gI2St/ONP+FtchCBOjXS7Mofb/bmEsI4zNzmgOQ+zChP78P9XTwlfOegJyvll0dkyBBznU0v4vGLVRx7PY8tp1fYzcuNoaJrHDE0K2m5mQPaUnuPFCZeOYRxXYJdhhE6QzyLMV7vkemktzKw6KgbpFSgrieYpPR+V1WF4GaV063ic/VRfmt5vvXpEsj+RekMF235k9BE6lq9dUb3lo7eN57/pN4f+91smKOS4NYNin5eQjxbG+AGRcOm35zb0zX0UNhVeDbOVSHhLmdRGseVUj6P2ujbDNwvWmvEIf3IAnW6ORCR1j9jsHciTIn2HUF2HW/qylAPj0bS2W0E8Dt+u646bzW0L1JxoqlYz7jzqo1tb+91Q10uKUl34eDwXKH4607qDeYw6ctA6OmRS2rcqHD0l9A7AwPm1BXrbzLrtQtqjb+zmSix/eEfWI/he1EF0MbcYqzfkx/6MEDom1yaJWthWkkL+R12ZmQvaUnnCHSNQ6vIGAIAuoR2kNPt5tFADhMbS4X2xjQTQeuERKqpTzZCvvoWLtpgkgbQrpchPD7yEjLcyhyZpinZVDUGEI0Bkvw/jl0KOmlO+H+OV8zi/9fqb53v/8UNhuj7dg8DfZ4IdsY84m+yXf1l2dYfAGLxkH2RXkPyDTQA5NW+ZT5PcWIJdC9afQp2zoXLj35s+v8gp9OAOe/ArkYyx5oqHThNKacjUlaz/ItiDHw8APXe0VIcZ0GsghqbbputOm4x1sHZx93r8DWtDQFwDAplXO+12DvoAX5mpdkXhtVA57yY5VIMQYXYKFIo5qhXj/ERjgm6wZ4Z2bo5aqP1nsb56XSVaDPIAi5+RVSU8qmVZOMJt1KvWsyFDIXh1N4WK1UY91YDhYFPmoY2l7HSfABdUwYyIp1BTxp89v8z5kXBp5UIX8r0Xbs2s4q5x7KuNBjjZ/N4BzyxbjTHd8JGeMKUfbe6d7BE7vMem1SPOYisMufccvVNiRf7sDv4HTl5Xu0zMmknA9NI/xHgnyrxTaeQwmjCoTaZFDC4cvR8O96kVdsGi8OO4xu0bWYhmbKZoqcGqJgTyCAe8WkDvs9PuQcWqsKjZeHfYY6p0aafbstSCvwLnvZ2VdLCPX40A6pdqm606bjv8HpFdC794M5BmQW8vfZ9cqV3g46Dcb/vs0nPWajTbKe56yEYoRYZweBOkWj9cdx0PXyTBnDrTez2YiI+odmgXSx8J7irxM3uhXSSZjorDPH5NwPhcZC9mL0Y+phEBAM2N8Z904etWtcVmw2Ium3l9BH2tGhyxcFUJyX0Q93tuCPAyXfOZauSiSoX4gD9t7n02U13AJ51Fp8Bu/8MYP//y3wvfsvRfIb4yxJDWDDwqX/gnIzxJs4+fGaLZNgHt/bM5NU0EOTIsPaV5JGBNULgfVwLnTK8llGBkGqQJZCHJM/H77ofgO2WDOJTeipVy2q6Mze+G+Rfy5AeTiVNvMQKd/hFreE8GmB7kerQhf1oLiP5GGLAVpF+fwh+Y3TIU+s21MVm9hPnMNdJqhycDZEeoQPJpHhLAFb170XJgQas9eZlNtE/K5sl4mhzw/D2QByE8SbCNTIXsx+vEESLsQ9++BWm83y0q4VCmNxZt38yeySGeCY/oCWvvoXZA7tTh7dvoPxx9gamG9ZscAZOcQVAFkZ2uzTrYC6YIah24CeQhkEoz4woWCGvagbNbrarRsQVm0R4vy+AeQmxN8/19BxoS4P2fmxwoUATKRsHVXV1LrMsgUkKYJjN8JZr+OJY/+c+GMV/2fcYOqF4I3A0BuS7XNDHT6IpC7Enp3D3Mor1g13H8inT0FTeyuxc6PpEiBNA6bqFf+fV7oUtIAZA5IC9fjGpI3O6JwwKELd/qP2zG+hUCDWE397jFKz1ICeGxQa2IgL5ND3l8CMhN6HJpEuBYZDNmL2I/bQfqFfGY6yFFZCJcKRm/9oNPimK41fbyIssUoU0Rw+nbdOXYSnLm2kJYuNXYUqOGfQ5fXo85z/zV39FcgX5kD3mtoNMGNIMNAzgJpaTtUKj7NZcsOVIHcafbUxJHoQBrC/NWa72p9Hd4FjQDYJcKzu6MG6DdAfh7V65i1K6n5jhrNQsGLh3j3v0FuiveObBrz4o1j55dg2CdpyqPjTn8b1x3Kkh/w3c2MEO8ffADKxsfvCtI/jiIFT/aHwRuT3JzNYT0ytKUjOWgD8lq0Z/0OfCO+BPnSbHzPgvwFZCg83gd6fVhuDALIQh+QD6DjQcWbiJHpZmTMy1Seh1NuhQu/TGAT2SRC9kxfLge5KuQz14BcXV82q7h01qdDFUgv08ebC7+vagRdXtOIg3T7ULjuDBO/MLOY/d4a5AtieBH819zTX6ECAIorBTVOuyh65jKQ0XH4FozGAZ8llOd6JcjtMZ5voOcfuyALri/bHhU0BPiLpPZ7kO+jaNCRPVtZMBLZHT83fXHccTkMrXFgFXEKoerzNAAAIABJREFU5Kcgi0FODD8QlSdSHEUKpt4FFy5MEFWwCuRTEoydTkAOhhUfYoI/63/gQ8Ml90WL5A0EuREGL/K+f/RXhm+f6t9e95z5Cora2ACm3gkD1xdO2j4rYM4HZNTLFIWHMcd1kwjZM305l5AJu0aJnlZfNqt4B8xgz7pWsNAc2BvMHF3gtUeANMFC3ZfwtOXPw+4eyokInLw0Zv9/ATLDHp0iYdcLVyFAcdpFc4BeBJkEskcSclwZHTJqnplsgxqSLdRQdOM5rC8XyP4gHyTcxmkgM4kBKW9faXSzrrs0TKYqWKWMHrRIEY6sel62BXmHlJLH8hSpCaiVvawixbf5T5WLaMag6SaQa12MbUR67wPpEV2WwqDW+FlNT3sFrTW1s7GgetwzdIVR9tdqbpnXpO34Ahn2MoXjSbRwrbr5ffEqOH1i1pSEiDJ6AshzIZ/ZDM0X2F15cvJTWowyu14ZpfPc92HAAjtAAC3uK3y3OyUSRV19xhyCdwZ5CuRkj/t2QqHmU53HhfOwg3jzs3Vc5ekMkEfiy0j2jQEJyE8DkCFaVuX8Zbb7778On/NfuLhpDM9ZfyzVkfquhfZGkJETqVDjz0IbORRd7reu+6v0+KEMtpuc9F7ntOSGe0ZbdU03ABmLxoU6KDwZTJECaWwsQYHRu0LS0RhkJci2afMgIr2ziYHoEw61prKlorIFUHaEHlM3lU0ETnjcbi7epnewAjkY5L8Rnrur1lACuzeG0RtUOc+yAiVDCBlX77+Jjf6fWQs/gKFLnVkJ1WP8AcifMOBBKAjIKT73ryChvAV/GvPXncHiDSccu87bGEKGn3q/p6qR1i0c9TW0fiirspzMOJ30ZDKeer99Z/AiGPVllDaNAWcelur61ZcQZHeyIf2JER4Zop2GZo062E0/CzxNeXXXwhesjkfHd8jzFMRCGUOgrgB5vVhZcSNc5RUpkNNg7kJo/WASrk6Qx4kJq50Sn7ZHE7dTQfIJcrgPds+msYmAHAHVy+G8pTYWvE2FLx58+gHIpxGe6wzybH1SKkHOIXSIot+4N7sHjdPfH3q848LgAHIMmrNyftH3j+ODoAgyGeRX6fI9X0ZqBM4VLYxdWyC7fY2FnIwHQLpa5O0LeHjvNuUrKWt3eRTDaG2CdAKZbK/v9WcdS18uqhpBnxnQf14axjGzTr+d1tnJXwZG5sljbbkcybuS2/+/UzlP/ovAqK9BXgW5FuRUQuaLmEXiQ1IubheQNg9F6rHzkkoONW0eDTKDjIeQgbQEeT3dNit7qird4z1pk4FIT5D3rVEPaDtbMdCbalgHGirxFcjWIZ/bHmQNtHqgviiVIKcTEnRG0RqHfJ0lg4MZs4EoOmYrj98fwwcJEgV8OSd93tfOw97T4JzlWpPFXm4QyPsgh1vk8RiQ36fNJ5dXknLstw77t3nGy2XGJoci5HWMS5c3jWdPhUs/rU97XnIykf4h3ozviyCXpNvXYlnMV5gu99j7JdH9P08e34ZLVm6yaHv+i0CrB9CChZej6GirUaS0f4GcD3IgRcASdUzrNkXd2rdl3gJWp0glG8JCHZJh7KJqCfNjCMgtrumIRnv+Rtf9TZg7F2RH13QF5PspRnGyinS5qXqeDM8WgDSO8NzzmrcgUnr1n2cMHTu47l8evccTPr/r7/D2PysbHHp/lMYBA2RLkL+ZNXAPn3vG+R0sQUa6VApAtkPLN2xv8Z2bgazHYjg36tXzrQ+zKV5uDsqeRa0/grkL0Jzh73uMTQsUGCV0CZAQ8rQsypq4qV2u9j2QPdEUjdhgIMHb7DyxsJ/5oXrpep6KeLGtWd+2TIUP6QtZUFQm2cwoTH3QvIG5qNfmGZDRcH8XOHt+mguYXT4kb6FHi6A+6bqvFWi8G6SXazos9eXPRvHPdDFBkK6oNf6X9t/tNb+HfA1/Ocl1vy3wbRIRQrlABsIF1d6bSt+ZqMd9LZqTczfIIJCjKBN+nCS6EUhzQoT6gByJoptWVADh5Sug/5wkkdZAfgjyMsh/KFN8HeQRkE4+v50G8qhjeXvOj74osoDmwi60S+PxB8DlG6HTxCzn8dkfm6pG0OMtGPRRWv328kqhSHo3mvnXofC+oSvg7DcT9n78FWSYvb4FX8+SRniDqhaaz9PhU/23qkXdb7IDauwfCfI4jPwq6fNcmTEYbNY7q6jVPm2doHXiiveymaI8OmYSnLmmcP/vXp28YaG2Nt6pX8GZ76cSNpk0s8t3NtwGihZ6awdyLQxbblvDTRNuMY6lIsRmuQ2aVFixoKurC4XcdJL0mEBfNjcHnlhF7BKmcQDIIpADkmujeH4/3gfkY3w8APXlAnkI5MwIz+0B1Ssq1A7bHOQgNI79dhQxdL3593bz/S/0vmQt36ad6cHGuOMERZ58bkjAd/8TpG+CY3QQ6iH8XaXDBMjDIKf5/HYIEQBCLPdlEBVyz8LIAshJWEQC+67nv6Betwmu6TC0GC/TtMfSNCqDHAcyKW05Sn4NrGoB3TYUKQFfw8NPgcwyxq5XQK5TQ8sxjzr0uGwG8jqMH5mgQe2nZr2cB2N7lN/L8vf/wYvg1dgANZXlYKakCVQh4kh5ssO0JOCV09sIorYX9jm0UGekGkrh+xPWciTbgawD2SJNxTVZPsiOqAfhPNe0FNGVM1ayeS6UGJALYG41tBlbX8cYLQFwUcRnp8M/O4QxGqEFTY8yh+i7jVythWHLktyoQRpRxkMRZ61EyzQcldD4tDPGoi4B738I5HSf37Yzymvi1twy9DVGPcS+NIQxwqH19KwZdjblEN2A4/MTkFjQ8Zbp2Qb6zko5r3BLtD5i5Fxzfzk64XG0bpLHZQ8h1oem+d7vb7vCGFY2L7zfdRmG69tqhMdM0dC5kaJw4XXesojju4VZN1ai+Y1b1/U3UE3U/RTav81DySh1tbKTfrhg4oOanLDYXbhdbARRPHBh6TQWg0+xGDvv3Y8oiqA0B5nieuGxzw/ZG40Fb+2aFkNPDuR6kGlxNrn4MtJvVX0eY7Tw8Q0Rn70G5GoLNOwIPd+1aTjyaOP7IKv8f4+2VpqN2GrOjXlvDmQ4yEcgTUI89yBlPImot9RpsXHUyu0bXutvROw0weNd/8QiAuumCg4TYmxyaD2wnVzT4nJMUMNOP/s0X7YOjUzxuC5bl+wa2OFTn/f7Iq7aAl2KRm/Te7y9L2euCR7ZVWzAvqszmjP6HBGjl/Sd/RMERquVnfSBKhpQbz/TR0Hfalhn/r8O/f/0UX5P5HLbN8rlmt2Ty3Uar/9u30i/54dwWDPYtuiJbYHdfpwI+YDImhqRyd1EHv21/rumpvJTuzX0pnPXht5tsAh4AegVk9wyn19cDbc3rqNrW/T/B15V4cHDgal6X6TnM/kRYS5wFvBALsdeLmjIk/UJcMEcmN0GaC3CEhf06Fhet2N9HWNdK7q2g4u65a8dIT5PAKfEpUOE1TB7Rt26V/tZByxdXHy/35pX/nPAzjBmB69ncjn2918rvdegvM++wIciJcRH/uRybA3cC3QEjhRhSojH/wfkyvw+B9gnBnk2Pk8BJ3n9oPvWjxt5y8J+TXM5bsnlODKX+7aP+wGz7JG2ZHFQOdwUPyII8AHK14x8nIzJo+j8i/jxo/nlcSLsL8L+sP2J0Owd6LRU/11QnWw/V2/wef9qvyeinedsfXZrCA8Bv6Fwj/1HVZA9Vtf4di/CC13hkTb673v3w1O3AcebM02Ez4FXwR+2T27f32pLHZcGpC73aWnGyWjbYYqj+kFLv3svyCoYMNfbmjrqCzQhMxN5OVGsviDN0HAta6g7aEhRO5C7YOTGKFq/PivnbqoWTJB+xlKWKpKat6wnm7RZmab6O8Y2PKNoXPoKkN3t0HPuksqgO7ZyCXouhNdvBJmu3p1ooUEg3UEesDcu8mOQt1C0sVAQ8ub5+yhT8whF64tsUbfUxzYgbxV9lwPpAbIM3vqbzu3iMb7iVyCjUaCl2eZvIWQJkMpyWH9BmyyNz104gLQvPyapQ2ZvA/IZyM72aB7yNTw72P/33l9B90SQO0F+AOOXQ/eNRe/fEDcMLrkxaHpPYb2l/KvyHptE5JWOW+ul6hUaI4rKF5ymAOO0p4YE9lr0/zlPCV7+wnHu+yC7+C86V7YCuRJkIci7IBfWbkAu8nTg4H1gSPGkrnAgkpw5ZJwSU1i3BzkTzRVYDTIeZAC0fSTaYWrOB3DyUzrBNs3YeZBbUITI1BD4oMV9WeNnfc6PsEW7OWgNsCBTDXTunDa+fK2yKIYWv2f6zkKNMA1ihOneAHKZnTGRJqrIyXAi1rIDuQekW5nfh4Hc6Fb29t4LRn8FZ7ymYzOmJVqY9h1MvaZyRkSz9h8FMtaM5ysoCquVkgrw9AUw5CMXoUpZuEAuA7neNR2FNKUfPoYiV/awR/MNx6DAL7/xX5MOGWe7n2a+PAJyXTm0vaxdyr+2a6LuU+lgCAw1ClT8fR8NAX9Tz+O1snPMJB2nUydtsmh7boSrsnBU2IQagPwa5N+qOEx/Noj1134/pC/MGF9XFGz457DbngGe6wbyYoT2vg/SC+QJ1Lr0JEhvkB8U8i2shbvFvnDR//TeGoEhsilaMFEUtRfSOIShYBWXwIgvbS6EdmjzkpFzl9SHMba1sYB0xgLamXnPW5WUhih0B30mvNe/6T1w8afQ+aW4Yw7SBfXitYv5nrtBzi7zezsclnrwt8i/9ruwxhi0IPYU06eHzVo+Fi1Iv2XhOIUC/bmHBNETs34Zfj7lmg7XF1r+4j+W3/kjkNdhyLK09jOQs9E8H98yEVm9VNnruj4akE9aGAKjrJztQH5vzqKRDGdW+O16wNMTLHvCAbI9dHs9fYAJ2QrkQ5Aj6777YCqc8XIA2PIt0VoQBwZopyFIf5CX8jbZsygTfqYb7+kTYdgnwZDETn2mkH81ZmKdvHRTs2CC7ISGziSCwAfyM9Sq/4keCE9+KotensIDd+eXTFHhTNfEUrqteZ62RxPMfWsPBXhHA7O5V6yb5Y9I1d63AK79TdReGJHp++9A5oMcFH9c5S6QnmV+3x9kTn2XO9OXviB/z/v/Tmjx+VdBlsPUf0HvRUHHSce1+b0asn3Mo5vSeh2Sr/uAzHdNh+sLNdytAdnO8nu3hkE1aexnZh9dTkZSNKL14d37odfU8GWAgoWCB6fDzwh38lILitMxKJiPtRDkSHS4Huz0hMrPivd4JPQhR6g2fUGeLuxTcIGH1/+ouV2lihZaqXooyGQUne/fIO1BtglB30/M4lPRGgB9ZqfNP7fyJ/tgGYEP5FDU8vsJiqb30zq5yDZ6IRoe8TL1oECyZQXgeZCOMfgW0OskW8LsaXD+8kK6z/lYa07JAK932JYdi4pnFVr09mVbmybIneXkDzVWfQmyhRu5s7fHgNyMD8y+rv3nvBd0nFKosRPaA+bqQiMLviRCzt2mdqEF4j3rpsV77zODks5nMYaZCVgKK3bE/y1Qj3wkvsD056DrZBthkEmF6aO1Xj8GOdo5v10TkGpnS0JNbj0RraMR+jCTdg4Hnl6nMDU+qhpBjwUeieA3oLlcy9Bq4cdhwjgi0JgzytNPKt97wTxv2o951LWcJCd/0tbIW+MY78iZMXoRzfm4GA+PoEvY1BB9aY7mEm7lmpbKtNbys9d7WmcpqjIhg0DujNZ+s3vgsrWa61Qxv+gqkCe95ACtHzQN5A48wlNsyo4NBQBkD9Tb9reoa5PPe++gQrI/mnfhpMi4Zc/T8yAn2hinJPe++mD48eDtDJBD7L2v/iiPRXw4H+R+y+88UBWCP50AXSfByA3Q6UX7inrfuTBseZAUiKxeqEfmzYjP7oLmsUeOiijlq915bBTcp0F+55rXIt8x5clnQA7VA+3jfSotWIWLWssXYOA3aS3yFHmd9DsbG17fWSAtsYTEh4IjnFr5vjkz4ILPC/nXZyVULwc51rVcJChv/SmDwOe3caJhlz3MoXcaGptt7SDpkB9PggxyTUcIeqvQ6vKRLM1GEVhGiOKrQTaiQrlp96yZR7uWoWNbtM7RlCDGjuj8infQBmkFsgRkIJbj20H+AXJuhXueK6d0JCtrVj2ei/Aojl0nN79eHtwQl1zURX0ElkFzyM7K2pg74MOPzAG8jEGmUnpB/n2tHtDC6nV5iSC/0vNa/Dy7sLzOulIL8neQYRGfHQxyl116avnVbSEctxraTY7DN0PjGziKBCihxzUBWbjUAzXk68qHk+KJdtZKaDIuKet+nfB1mggj1sI/2hf+HsbzlE6YIcjVIL+pcM/3tO35a+G4x4qs4q3Q3KxRYQ6Y4XnqbgFEEfieLlZYvWXs7Pnw2jWol+kF1OvkLEkyAV4cbDZDq7HyCdP8BkibGM9PBzkq+P3l53lUMA7Ui3mJmW+/SoZXnuHSG+HR3gH4dL5RNNsmNI5/Bzm/wj23gAx2J2vxvYBG4V9XvJ4Wjk1w0J74CrGvgegnMGC+9z7V+/1ig0UW1nJD929BrrTzrvqnPBbSP+tN9Yx3zNvTgykp3vf1/6z0PtkL5AOQPxbvoXZ43bLEe5Z1pZbYIXvyXpw9zf+9VY2gd2xIeZDD0KimEgOQM567JiALV5AFK/0wvaDW5mATOi36QTqBPFFIY+EGh8IMC8gIn3c0BJmEIvxZq96elQWQOgS+PwYbo4HzsRgWkrULrbczyjUdIej9fSUDQYXnrwG5Ovj9foaPEV+CPAnnT4/p3TnWKCmeeVDx+VWsANzRwWyE+/nQsznIn0FmkWDIHBqmXDbnFQ2zvNW1zMXs5xEg75Z+X7zeBAPt0fH0qi0VBNXLU9FfDNOfB/kU+s/xluWhS1HwonEgvaDXYVlYyw1/u4CMtfOu+l4Pr8+K0jFpMi7I+hTOGCw7oaVSHiei4c2f16O/QY2VE1ADyyUKypVdpZZ4IXuHgtSQiLE6/rkTZDuQOVjy7lrrm2sCsnAFgzFPd1ELKnS6YJ3zLlxQU3nDS36zAWkE8nH5Nme+ZvrkG3aGhqndDFJtS3HIklWPOgS+c+u+q78bZ0xe7AWykohFFh3QezzIyzGebwYyLfj9fnJ73GMg7f2t9aHyisrmQSXAw55oAdedir7fGc3newZLtYjK0HA7FYrggpwA8oJrmYvZz+545KLEWW/g+rYw/LPwqF5+stztdT0k+e9TaNmM7iAPw+gN2VnLbz0RLl1lwwPmz5+LPiaiVyE9PvjRfuaXqpiPkcKCqR3GowV2D9NxvWBhGHk0Z4R/gLwLQ48KD7PvR2/ze0F2R3OU+4LcAENXZHFvrjNMXfixouxF8kzfjCXPaem7reS83glyh2v5Lr425/8/wJLFsA7YNu+7dcDSxeHusfnZrWFhW5i2d22Y/43ImppcjrHAdiKM8Hub3rd9W6i+St+xdDFMHyWypsYy4QuB7+Vy7AoHXgW3N67rx7bo/89uDGP+I3LQBn962QBcmMvxBvBCLscwEe6KSlQux8/h0KZBeJrGR4RVuRynAK/mcswV4eX0ZSwbHxHm5XI8Alxqrqx/JgGH53JsLcIXEZ5/E9gtl2N3ERZWvn36KOh7VN1cWgf0rYbJg0WoyeXe6Qzr9ogjNyJU53I0Be4AXsnl6CjCR6F6FeIjwr9yOQ4GHszlGvWDhr+BPfaC3feHjg/AEf1E+Cap9s3nf0Cuwj1zgL0TpiPpz77ArNKvo603udz2jeC4EdDo6/D7iN++tu4LEdbCmrUV9qm7gbtzuVkTYdtWpe9Jdy1XXrT/M9y2I2zbxszNo3K57dtG21unj4KLjoU//rBurverhr6PAm/ncvwWuCWFueH50f4eeJWO45KisfEb24+/gpu3gt9S16fRwG5NgE+AucBM+GIVrPtZUHkUYUMux3kw6Wr436vwwuZ562OAMfBbV6eNNOvyQuBF7ffkH8G6rlnam3Us2r2YR39D2PhiENmrG8eGP4H9joLNj4UrEqAy3pkml6ML0BQ4IgHi4n1ca29ZuOCon0fLeUoSICKUC3sEGUEgMfS8AHKiv9VhpGhNkaDWSjnAeGluJwQyG8jP0dyp90EWQ78PsmKtzKOxFoFvz6yEFTriw49RyPWGrmkJSG/cvKe7QAYEv79cAW+rwAKJ50HltbU5zHwF+q9yIfMgt4JcUJlG+TINb1yC/XwUDwhplZsuNYW871JTjvelsjZToO2aoMng9qDrfb0cr5BiTqj9umiyFcz7WOsgdijOCdsHhep/gwD1Gu33tfw648+LEzd6f3/0C+TV+Yu6jsUZg6A5hVncm6P2O82+aFsD1kQL8ZU90TyuQ13xuCx9rgnIwgXSG2a8VGkS1U20S9fo4pbcxNG2+n0aLMmyctheyvy8FmS0/+QeE3qDQQuMPgIyBS5t5ueiL1WY5E8oQk+DLC6AhuYBKNzt9maxmat1sLIxniny4TqQ21zTEYzWKX+Bc6dFDdVB6zU9a48eu9D0JJwHVddO64dcGTTQvKqBAe77AOQAV7JmoZ+zig/bKi+HjIP2X2ie0+Wi/7avoDzlr+k1Erb+jtmvFsdPIPday3t/BHNmowiJ+6QBKGE71BqkD8gzZX5vgAKprAD5TRhjYvy++u3n508HeRzmLoSL/leUz7YETn83KI+irGPpgWHV0jZggebmuT43ROt3mukLILvA/M+gzdggY5oHkjYBLl4BL0fOLU6c/64JcH2hltb3QI4L8cyjIJ0TpuvHUL1Kq7d7C12GlYEzQMYpfQPXFtI31Gy6Enpx07F69epSL2HPhTD5ei+FqfQdtZNz8OKoMcIJ8exWkKdANkPBMlq5pskBD76P5j5FroOVDp3xD4DGGLAGS3U1EhqPRPOgQLbSeSiJH3x82v8TyIUB7nsCpIPr8YjYxy1Qz9lWdd/V7hujJOwhqvDANib08/qOd+6C3u/GVfS9DtqmvxdB9adBjI/x+Wu1FteWaOJ+0wD3/hjkMbTsRbPk5CdfAT1lqfdc7V8N0hFkX9i9ceGYnP4LzddK7rDuPwatH0xoTv0Q5FPKlIJI44rueUovtxpkJMg/g8ta9s6zvvS6JsD1hdY4+sDroF3mmZtAhiZM1z9Afl/+nuwAIBTRvhda/LQxVH8CzRZoqF5tomh0Ov373O8DP4XJh8Y2IO+5lr88erZAE+X/iNbK+KFrmhzx4XKQTCAY+dNoK/RInidCge7k+uWJjFlQD8qWNR+tCTMJLlzo0PN0ExVgyLW/fWdCv3n10ROsB1qZW/hdrfxe7nGAkrKHqELZj/K85IyCkGjYGbR9JA25shwyey7I8yHuz6Ee7MUopL5VQ0xp38Ip22iB23nw9t+he2KHYh+I89UwdwGWPMal697Uu3CcKuHd78Eb1MDsuZbnQI5OWpnNG/8tUNTCQIBfWT3P+tLrmgDXF1rgLnDugXlmCMjN8dr1P4SgOT7LqYA2lVV0NjS04DOQf4Nca3eDsdNnQ+OHIAe5lsE8mnZCC7CKa1oc8qAKzQELNS5phOjUtWVNBgeB3Oma53X880U5M3lQ1css1ew41BhXxkCfI+Ci1IqNF9FxI8hFUXjierxC9LEDyOOF39XKb3jPUSFPojwvB5ixTzQvKV3reu3aM3QFnPVaRMVpC5D5IC0iPLszyD/NfnaSvX55Qdl71wIrXX+f7IeGFnYr5FHSNTELvJBnGxo6xtkfvNeBnjXq3XQbOVDa76FHwdwa6LOykN7zlsLs6SAz4cVLopYaCCmXpxMAlRbN5RsCwz7N4nnWl27XBLgVPPkZmqQeagKgtYzGRW/XazJ2qdEY9I7jYchH8MpvK7+j6fysauogbxmads+j1+SLtXs2usXaZpjElFuhzwzXRRYLx7THFLXodnjeNT0OZWdw8YGvMt+yAObSJNSaAKNbwKgvoOME1/Ln36dmC6DzRGhxH5z6Rty5h1rKV2AADNS48s5dSR6sytByA2UiCOqbJbSU/m/zYRcWAg/U9it8zlLde5veA8dMgm5fhMt5kktB/uJOnpMbO5DeIA9FfLYXyEsx2z8aLe1xHxYiF3RdkiIe1gi0XlqopPgVwv6LNUUuBk8Oh3kfxQnh9JelQTXljC/u+uzndT1tPCYyJ2ll1vD+NTzSW0C2QutS3YSWq1gM8o+s19Iq6YdrAtwKmVwDclOE534JMjV6u36TcVTe392rKyO/zIy0+aXE2/UgUvTdFmil+22jv9fOQVnf03NhVnjnb91yP5YOZOd7xopaMfZf73dRwLoYpWygQIvPg6OOZcurUR4Zs5a+szx+FwlWF0gagFxhxvUw890PjfHqp47k7HqQi8PzJJuW0KDyVfhbbWHcTuu1mGnQA+W39WXWQpulqkgFkXt5BeREl/1PUJ5+iIZch8oPRBEd52EhzxWtm3QdCvbSnZAevjwPzQQ48fMg62rWjQzw67Fx6PNfB9q9ByPXQaeJro1fwehNb91Ca3d9iEFTBGmIhqWOQ6OSXkeBvQ6tldGs7YkV++iaAHcCJlujFtC9Ijz7I5AV0dv2E+7LA03uUsSjMeaQ03R+FgQNDfORYh6BHAIyI/7741tNsrbg+9PT6gHX4xl9fMp79CqErp6DVnjPFT4jm4Psh4YEXKmL8fD1aW8W6iWuRSkbJnCehLPA1xf5G5P3//AAA2bMtgUZazbMXfO+vxbkVndyKn8AucT/9+b3ZmmMwvWt1YPlaK+be+fN1EgHLzAiv7kZFVJadkJBUrZOhwe1fRi1UdG+UgkFDa0couFlEy3TcQQKhPUsJvojGL+KYei7baw0zoXnmfxiuK2XZuM8EqcYtBylqG/Fc2mmQPevsnjQd7m31M25IUtg8CJ4408g76AAGw+gCr2vVzQNj5i1vromwFnH9XD2ZMRnG6AIRttEez7IQUV8J3cWLAvedNUKfs934YpvYN6HHjz/t+uxzyIP/ekZuhJkM9f8CicDlQ9Wle5DvZTrUdf+pSD3mMMy/2APAAAgAElEQVTAetTV/6hRnk6DEx5PP0QnHupY9uTPazzykTHF/N11fcgwrZ+ZzfMu8izyOPY6GRquBbmskAe1CkOrB+CJSTAwVH8d9KEBiorYEYWufgxkAYz6Ooh8oZ6KT0B+lseHFlq7qRbkZ6bUea1kKzjl6YhK9JlR99x4cn3pKug2JY3DGMhFIH8Lcf9mIHNAfp0ALVuADEcRTC+stI94n0tmihply5VwiRcGmrwMhFcmQBqB3A/yEbwwrHRtPHatKwWlcn/deHCg40Fw3pLCdvutgrtPJ6+e16ZyOSfASafr4MmPjfZ8VSMYvga6vBFlQfaJES46qAT1PFW+Px2eevXpom/g9F/k8f1WKqBbpUdvh+dt8NAWUAEc/bA3PRctAbnBNb+C98NPNls+ALJd3dXyAe/7+s9Bodo/y/vtjyA9UWtqicHCW/YGrYfjE6vNEx91LKtz+Fur33w9OBXTd8i4oJZBkGZoPPtQSj2ITr1OhoZrQIb7y9CAz2DXVlmxhBpF50i0zs+taE7BGjQ85gmQq0BOA9kbmgWWLxSy/Td1fDizqKjlUHOIvuQTkPVw6edh5d20cw9I33TlOfXQvcYo4E0ggxdIFzOOCdZSC1ZcN3rdoOjQ91mTA7SExDWoQeEKTIpBqUek3eQovEq3z4nnNOVQAJhLVL5Gb8ji+CfGY9cE2BeWyodYIsCTF7ZjK+emVribjIMzlgV9p4/y9TU82tsd//0Ogx1fyOP7GyC/ci8r0loh1M/5OM442pMF2RJmTYG+n5S+66yDUcvkOa75FqwvfhvwqK9RJEFz+VnG+8wGaYXWfGoAMhWkU7CxqJ1Pze+Fd+9Hw8TKIlZG72dVozr43bioZbX391zo2kprS7ZBeqCIoSUhTGTA62To+B3ISP07HWU2yD5lDiU/ATkJZAQKFT9bFRd5B+ROFFSlNcjOcccP5CAUUnjz8lERZ78NsnVES/5mqAfkZ1H4Fo3XbgwUaG20irWXDE9mgRyTgqw3QAvw+hbX9edX5XpJKm9+daDcKxR18+60V2DUlzC8eRF/Njf8WWLm14+zKFuuL53/chJqvKlBkTP/AnIq9J+X1fFPhBeuCQg3cN4bT7hQoab3wEXLFdUsO7kySlvXyTD8C0VLCYp4VGtZ+Ed71Mo7yM3Y+B2a+83V32VzFCwidWjPQrnp8LwqTtImrnXGliyYhehx+P4eXvSgtVqWg7R0MbZJ8CT4fXK8OWCEcvubA+jN5rD5g2T6et9ZcPFKTZYvttaHQS3rMB56vQPTX0iCzuj9G91CE6KDzw9zILweTYDf3+ce514nQ8dVIKP072TCKAvXnibjoH1NoZx0r4ZbTkSVzRtBxqOK5TK0DtgfQLqiNXO2iNZ2IC/hZD0AlQMOyc+XCqdYo17IaemOr5vQWHjj5iAormgx+dcpSJhPttwCZYrreo9r/9Uw70OQX1Z+d/1QKODNP2uEQy2fx54NMh1kIgbMpvI76he4QUyZ2R2kP8hTMP9zGLZMFaUTnzChvC1A3oehS+rD+Fvji2sCgg+gl7D2+hAe6Qnd3/QetBb3lX8+ipcg2QUZtTS+D+0OCruQguxhFsU/kXKejP/COWiBoe0gkA+yITfnfGxjkbMhCyi87QcgO1S471jUKrZH2jyMz+/ei8LmPOX1O4eGnPQKT4vkUO/CDJDd7PdVfg/y27r+xFHEZSsUZrit6zHMo6kDyBMh7t8B5GmQl0C+73NPJrxOhpbfglyuf9s/+AUPz750Fci9aPjLceSBaqTIix56OPLjQ9s1paARweUd5GpSLirqxpt4yDjosTjAutbAHNiP95eVZA7jFBbX/TN5Bk2vcTX3Lkfr0vmGF+q9A9dlWaFQGs+eX0jj4A3w2Hnl+lZ+3N2H9FqWj83R6KxrjYyuALkbnh5YyrsBa2DeEjUEfHcUSpF6pTw1vUfjrmuRXGoTWS/6GAYv9j7Ejv4GdaHfrZZdG16CZBdkXdim3qU5G+GFEGRHkBfRGPjt0hsf/4RzQ1dPkHvdyE0y4xX33SBNzKa0b8D7LzCL2fZp8zG8LNRuKqdPhHmL8AgvCrr5oFbrhXiEmgTk2wgUZMJqyBDIu0QoalnmfR3NepUJgBA0vKdsvbm8e/dGPYS3UMZDQka8Tnn9u0L/tr/xxwUGSpkX20D1Kmj9LJz5jeav1Bh6z1wDVbHkHOR9kOY2aA3epl94u736Q6VtBMv7MQrJFL71OjmpS1VbXHchFYrrorlcb6NAPZ6h0CA/hfmroeX9WVUo6ot3LH2+yA9QJLwHUGS8d1DPfFPYbU/l2ylL69aFfN7VIQJvqgqlJ89cExB8cI+dVIrkMlTq6kt4TYhf3Q9yOEhvGLTIW8EKt3HBH4/VBTg57TouRC6KsvMPc7grG7trd4yKJ86tJxr6R6AWrtQLyiXpKfRXGCdeTgUrFsiuIItA2gVvT3Igt4E8mZUDdkC6b4Tpz8cJSTHGgMghqWiOSA0RShP4vO9HaE2XUKFUAcZ3Isj5rsfM0PMfAuWbydFomFmfCvdlxutk6BmDAUrQ/1c1Unjd3tNsbPxxS1Kky4uqRhqilb+WdV2vnpS4fJCfovlOqa9ZpXvS431Qg5UVo0fp2aMyeAzqdZqWr7D4y0q3KcnzKFhxXdQ7/ieQ+XiE8Zn5lAnDiH8fsoVy6o4PkkNrLI1CQ0c/Q2swnZt/ZixnFP+u8u5b3rgmIPhgN53vo1DMD2I1tGFxMIveqzBhdJLataVwsBwK8bxIY+qTjaUuQ0d+EmlrB3KTsKcwf3Nu8xDMrU2avM3vYA2ypcpR3cEtBD+3QMOirk+bl8F5UZyTuP/ecOGXcQwOIAcbWYrsTUVRyj7CJxcn5Lu6gzxqn4dyqOln2TDOdMZTFoI0LvN7DmSAobd1Zbm4YCH0m50Fa6TSdO77MGBBXXiSbeXJb+0ZFXkeJMePJD300gcHUQdl6DkGDUU6Lv67ivfqyuAxaDjsVPIMbP78H7neHGoPTZgngYvrgnTi2zC+2rndaYLmR/7pBNfjW76f313PE4p02x7k7yAfo9EYN5n54BnVUdl7Hox3aeTzpc5P1wQEH3g/aMhTJxUOjrdCYyMsA6QX6mpPxIJW1wc/92j4CQ5P9kvaU1aBZ7eiuSEC8iDs3jjNSZR2HC5aH2IJyP+MkuMRrlYLEBEe7dE8v7NZ+ELnAaXL516LNJa8xxQ7IbNyHybBP8b4dDPjE+swgsIul/W0xHj3HSDXuh1P2RmFwfaUUWMAuB0NI90znFy4VRi8aepSUwrmEDdsz6+dQ8ZlLawlWQ+9PA5ylus+FtHU3CgAFT2r5d9TfLisEc1r85YjY3B4l6KIA5WVAZ+VPnfUz9EaTYtTUqKOQEMsyxbXBWkMs6fBBWuzNLcr9y9761HC47mXkZ/nQT5HUzqGgOwT7Ply3vNgvNtUee6cgOBCYMNzFD0eE4VOXkZANJbw/SuXXBxd2FxbWtDCuG/rgXXmKzAw9cUWehyqNQjSUtjkEDQ86S2QOXDt0XUKY7fXjXcqlmeBOgS+LEC/bwmdXvSWsyEfwYUf2TiYmY1gpZdCGvI9Hc1cbhrx+QaG94nIEchupp++SkkKY9oG5FWf336Ahhc+ToX8O9frTziaRlmnsw5FdfCSLClLaY0TCm28Ju6cTabPcqgxpPSMN77F+/Z5AsNEEQrbLC2MgJFT0RqTxXXPttV8obaPeJ1PDB9TUaIIWFwXWtyXtbkdfMw2zbwc3YvlaLQ24mwj3/80e17oXGn/daH919DzbTjZt25Y5XdkW04q9ss1AcEH0a32iuYQ3Zzc+31rLCyNM8Fdx/iaDUpAHnC12KKu6mfT6G9emyYP5K2/lXr+7NTzwSECnzngn4MmEH8Gl3zmJ2c2F0/U2xHbKwNyIhq60zrCs4eDzE6YvyNBHk57XLXtqka6MQ5a5HGIOxDNebjG71BV+K7s5RgEy0WyRyfIQJBbXPU3+Jjb319BTvBTwrNwoUaoD4mVT1nVSGHoO60vBNro/RHMXQjyb5CdUK/T2yAdPejoAfJkAHpLlKikQqKoUFw3i3P7u3iV7sXyJsjlZp+KFN1S926/deHv7UDuR8El/kgZQ6K/nFyyGqQvGTSsBOKNawLCD+R5/4X+1emFfDW9B86eqvG8hVq2zUUruTojfgfXc6eBbJn8mMmWpt0x7upuyA2YYphpXiBdYMTaJBVGczD7LxYR+LzkGvW2NEERyt4GWYUW7zwb5IflFCSbBzO0TsknIA0t8K6NUaCOD8eX/tXQ74Mk1x9zSKoh5dpe5cYKtZqvAOkW/H3Zszqm6XkyYzmClGG6o4+9XYs8ir54qeu+VaBxdzQMejQh4aor8Q9kWxQs6WPU8DPN60BrlJQOIWg2SlT1siSjOShTXDeLc/u7cJkxORLkSjR3bhXIQ6gCvov99vzXBZCfobXoVhoajip9rvVSbzk5bYI5Q3xmFL8OtfJVH3KknBMQQXAGkgKiS6UDn21LXXJhE1509lgAM15CwwcOSWHMBGRU0D7anjhonpqTArPQb26SCiNqzbwdSwh83vIyYA1UL0driF0H0poiMIxg88XOwczQcJsl/jVDQ/DKHlxceL5BzjSbYyzrYbg2/eZo73dRsI0j48vTdyPnKW8cfw8y3FV/3fFZcsYAUDG0x/WFop/+Fy3wHFmBKvP+VmY+fQGyU9Fve6NhxKGNmYoonLwCg0dx3SzO7fTlJp1DPlqC5nSQu8x+NcMoLa2K92I3fJAqczavBpkMT/aH7kY2KuYB7oB6ziaqEvbO3VobMtty5ZyACIN0GimEs/gfIo5+GORH+q+9RQtuPj4pYAcfi1gO9RosRy1KiXihUCuJUZ6CoCLaVkplO5B1IFu7kdfkrXNojPp4kOuSo/e4x6LIWUIy9X1dZP2R4EK+7zA0/LGLf5/8rGeJ1mHJ6UYUPScjZHsNoM9sb2X/0jVELHuQh8g1UQvC3nS1a6ui95qYjPyiADED0u6j6wvkABSx0boykhC9O6MhT3+rq21jzYB3vFEkb0W9UKfkoVDWQJ+Z0Tzx6UVzmPXoNPKK627K+UOV+ZGc8mh4vT/IxUap+BwtQD4AB2H6IejeDKQDDFtWCqQySuDksmkoII3gnPfKR7FkwyPlnNnhBqaqEXR4XmMlk2Wc/6I0coNaiUZusLVoGavCXHj2wrQXIpCGqNciES8UGlMuIHfUjWGrF6HdRkUVbDKuUHmyq2yAtAWZ5FZmk7fOGYVibtyDdn2JY0dDbGwqoAfooebFS+sW50PGqUdirQSp35JQP5uYw1aiBa/NPH0VLl7uPf9+db+ddm46ziX6p4sLzXk52zUdDvp9CRmv++NBcxXMmgQXfG7RgJdDa+mcaf7fSnOhBqyJ24aL0DmjZN5hFOMTXY+ZO1mxflbZGs0RvAVkAZqLdxvIySDbuO5vuL5EP0f4P3vWPDh7flb2DudMDj4YaUNOl58YcSdOngY9QWuLTL0r5HM249KLvFD7720vl0u6mIXg/Tr6u1cXjuM5H8Pk60AehRFf2jykan/k9+5lt8V9cPGqJHNlQPYjZgHI+hLHroccWQpykL13XtUahmys6/8oqfu7cv2WBPt6D8hvE3r3lig4xUqQgWpxT26drS/yZZnHj4G0d01Hev2t3aMuXgWdx9c3xTgIsFGYfdgY8GaRF1YNLa2E2/mg9H4NQ48K855ofJK2aJjWvZQprrupXKVj7lc+J1Q9zp+hoAlPoKiUr4JcBnIQ9cRj692v6Ou8/7MnJpo/HrqPrpmcxmBEay9KztOg9dCjIoSo97PdnePlgzTUXKgLv7JodbsB5AqQ9SDf8x/HPjNBzoITHrdszRlPXiV3tzIsO6Jx9cMSbOM4NAQt4njVnzh2kMEgj9t7X7Fs5nubakQrq6fPF5CfoiAZP7P83l+iCexP578bnhkEo76wVSy2sM364dm0zOeXQI52TUc6fa0/64d/H/xk9Jz/gmwfpo+oYfJVkK7B2ogSuVIcOjf5OtPm5snz6tviukvRGnqZOfDbBfTyGvOTvw57VgHZHKQFilY6zRit7tGzT/1EnQvOr2DrgP+z8ZVVq310zeTgg5H+plspnrfw92b3wJRbjSXmgPLvjaYIppM/Y90VPRGtYP2eHtbKjyO8fiMMXGdj80Wt6p+D7OhafvNo+gka7tA1wTYGGSWtKtrztXLdeSKM/grOPdw133z6+T3Dy0j1mkrfVyybxd6mYHHbCfX1NyD3xRvP2kNE6/1QeNmlIF1rDzxofuLVqKf4F8n0w299aRGpb/XhQuu9/dI1Hen0tf57Fv37cNHHup9ctDhoH1FEzznFikySfDLz+HlSRHgkYHHd9OixnTvd/N7S8ZopcGZR6GX36tJzovzArLP3oUaw98w62wwLIE9ZveLkw3nnpGZrbXHO4ODMzBbj/OmU7mjolG8scBhFsPDgc8rSpBVIuxYxaYDCUH4fjZHuW24cQQ5W3g0+0kbuFwrn+b5rmfCg6wAUXaltQu/PgfwVDQWItTiD3A1yoWuelaGvN8gELFg8S2WzPEpQyv3cFkW7C6Uoeh8iBm+E98eRF2qDhkE+BvIKCYbgeNMzcB3Mngayr2t5Sqa/l30GXd5wneCcTn/rv2ex3MEbZDv1yAbrI2o8LMl3SyGKZBezXgQqw2CpzUDFddOhxe+c0esdkDEoUt0t5lzyoNkrX0Jz06aBzEOBMVaDbPTPeT1mUt1Z5cKF8OpVZv89BA2HnmzOQI+BnAfyE9fyXV+vrHm1nTOkvjKuPK3S1Ey8i0qtvqf/AgbVBFEES/ucn4Ph/1w82q0WNN0bpMb8PQDkb/7juPdeIO9iAVmsjuf95kK/2RmVkZaqKCYDFW82sgkgf4j5nrYg77jmVxn6Ngf5AORYO3JTLJvtaxTUxD2aFJqX+AYhoMuDzGeQPcyB4e+kUvvNE/2znzl09bWhCGfhqk97lr0+1w8jZ7Cx86ttE7TkhrQyh3DP8Lmkkeq0/erl0PaRNNHJQH5ujDBvUCEKJzka/JT4gQuN8nQJyAWo8e1MkFPQwvZNUSPu3iiY1o4gW1bOgZftQEaZ3z41434zWsh+q1L6soMaV58u5dvI9XDGa6755pwZ4RnX4j4Y/T/XjKtMq+wOc2bCgM+Kkjk3wv1jS0ETSjfVYJbwC7+EjhaT5qsaldIcOWzuDJBHzN9NQd6ua6Pk8HQFyFNxD0716cAC0hm1DiZCG+rxmxdHIUWhRz/CIjBDAv08DS3ca8H7lF3oXdST+xYhQj4rh8lKSzRHbpBrpQVF/JuKWoGtF3tMvz+bhiIRrs+ens4N8P6jWCzk7baPrfcLghiJejJ6ux2Lvisd5Wn6FtdNp++20w+85LpnDbw8BuQ5ND3gJdPWX8utpfXpjJK1y5xHNpKF2lauCQjHuPqjPCm9LR/wD1GrfEjzPvjUiNacqX1u6h3mQGUlrwckB/OWKHBD7LC5P4CMNH9vg4JGlFi2+TZcL1odmcJ31a8DC1pY7gOQ7yf0/loEvuYx3nENyPWueVWGvgbm0N3JNS0p9LUFCmEbCLq2QpjseWj46DGu+5XXvy2NvC2mnsMgbwohbNH6Xby3tdjXHCirCVlkOYsXSH+Y/kz5fGhpgeYOOjvkZWEvxKO4bjrtVjWCHgtsKiiKQtzxBRj4oYbiVi9Hw/461RoGUJS8JeXW5yyMS329QH4EssI1HSL1SHmqj9p63M0zYMhNDuRmmP0+tH4wrhvYTP4FNqzQxhJzfN7/p4McWnTPFlgK1yvP865v2OhTMnIi16Kx0YkU8kULNMZA4JN9zfOJozfF7OOsLNNosa8PgYwOdq8fsufUO0Bmg+zjuj8+fWyFgoHcGlRRzNoFvab+/yGpYEw7GmV9OPU0Ud4YauZSoRwE6o04z377wcK9QPaCvnOzoLxTUlz3+AOSDllTPrV9BU79SgF+CutJhqB9V5BeIA+j+U9T0CiZI/AJnwYZC3KR/ztPfzUL41IfL5BfgEx3TYdIvVKegigSYWovJB9zGtfC4H3w6bpei3fmx2BXNYL+qy2F2l0C8pf4fZccyCrywm/QYpHnFN13BRbC9SrzfMRas+ldB9K8ePN2GYNsNuS7UQtdIod/NIE3BgKfvAlyQlo8iSZvs96ArpM39ThyNEfpEwJ6aqGqBRy3Gs5YD81r4Kk3UVSszKBQ+vRzR7SGzCz4y0n1KUcA5Ndqme5RU58Mfinw5acoiML4fPlNcv218e66d/SeBhevLH+2kKOM4m81f1Bp6FKjKG9jBEYKtF2r81saoABJvwOZocauAXO90UJPSR0t1PBlZ3jvwcJaevbnRDyYbGmAlnAYg0b0rDLKUE+QHwXs50E691veny9zKOreNTDqS+8zSp8ZZACpMMsXitz8oms6ROqV8uTnURi8GKSdhgbkT5iZAm3XKDZ8ccJnOl4sG+3oO5qMg07rdeGrKXmPv8LQ/N4IwjkB5JT4fZc9QRYVfXdhvmKGxXC9IDwHOQzkSjQ5fhmaIH8SHL6Pa68mGq70AsjtthTJovfnQP4G8nix4hjw+f4gD6TFj2jj3nvRd+Wgqpuw/CsYX4plu/8q2L2x6z4E7+szg4LkmGTlQgtfLlEFKrs5dA75sxmKRLZU9+5yQC3HToKm87328WBt2dqDg78DrZvW1z7fmozTc01JvbmNJoRshlGejlIlIJ/ubCCHZrHcCsgOaP7xnUYmZ4Jcj8LMhw67VL5f8Hkhr/t9CtWrQG6DS5uVylOPGnjrb8YoNhY18GYyUsblhaJZhz7XJkKLawKCM81vQvR4C+QlGL2h7ne/gpa9/o+9M4+3alwf+PetiOpkvtS9aLjmXJkrIZRw0aQ0DyLNGig0COG61zXda7juDxdJZMg8hagoSUklpTqUOo2aTig8vz+edexprb3X2ntNJ9bnsz7n7L3Xet/nfZ7nHZ75BJDzoOfcsNwp/Ng8c2d6cRIsR+xEzc190OwxWScjSHU08LFq4eOWtiCT0r47HWSG9b+v7npecQ5SF2QIyAepvOOdH/zSmlr4n4MVJ+Y/XmR3VOt7ex7v7oumXI2lteK35kdu8coqkJN2dbyUpzGgtcdmEWAh7F3lRpMILYO+X9onRrIVFFwf+FVh1Hi8Pe/UfyHXmo1m8jxWrdnu+A/kFJAVBJAgQS1G6bXnymBpPsn+nbK9qUlJHOZQGHGALpLkGDQW+GpUWbwV5HU0+16dwvt3Wq+aPZ9Jl9QzCloyoj/qJTMLrQ+1e+o75cP6Hgz/yNUgd0YNh4hQiXJzzR8JvRvAg3WhKlAK9F4KL7YV+V+xMYs+gKqn67P/A25En8P6+2BduP0jYDpU2Ue/+9p69hegAlCttt9Qi2wpBjoX1kqNmomxlF1VgYNq6v+rVyk+kp8pBWa+BLwINAVGAL8Yw2TgHeAdEUrKnjamei244DE4eAdM/48x80dasOd7nQB8mvbdXOBYY6gEXA+sAh4roA/byw3ORVgK3AncacziqVC1ceoTVYHjGxhDM+BTETYk/6r4qjcW/lAHTq0H9xbBUVh82cCY6k294k+ELcZwPvChMXwrwv+8vO+i/R3G0Ab42BgWirjHvQgbLd5pBzzkJ1z+XLnmyK51WbwyGrjLGM4QQeyf3BXwUj7GYAwGuA9YDvwzYnBif4nwkTEcD3yVSt//ATcDd2C/j+/xkjG8DVSz7qKk/9O+O6tiJu+sB45pDv/ZM3GW6NPAmHv6wVU1gJOAE4FjgZXwh7098N8o4G8i/OgVH7mvrcBO7GGpUt3ujbK90Jg270LVAzPfC3sOOZ1VSlYF30dFMYZ/ARcAuwOvomeAd0Uo9a9/p/Wq2t5ln5zOKCJsBf5tDPdbcA4C/m7MR+OhVRu4v3bS+Tevc0Y5vw4E1kQNBFB+hCeRLcXGVG8KS8fqhC9ZBckH/JXfJCbML9gz74LpIpxtzCfj4ItO8DCJxbkUWHSsMdVrxY8Zcy04ToLlzKEiFANPWBv7EcA5QBt0gn4LvAOT5kGrEUkTs5MPE/NE4J7Ur6rvB/1+gg2fwYF1YduZInc5HPrCvL75GkobZ+L3lx3ASOB4Y9gAzNb7mRXQ6qbUhewGYABwKEqHpWPJQ2gWocQSoKYYwxoRXi9wcOntbzCGi6z2vxJhuofXHwOGE0vhKdhNOSEs16ipfRWsXPDjehToD1wCTEz/0RgqQ81D7PFS+whjOFyExeGAWsgVxoHLl+sK4FSggbMw6/8VU950eVXfB06tnErfsv3baR+vXA1YDWxDJYptDvdWmPwIDO+U2s7/kRCcytp8oC6MfQZ4BV3nJwJzVEkxY5zuidn5zxhOAI4H2uaJjBzXpo9gXsv85kJc5tDiUTDiErilcupZZf5I//qwOw+N/gXGVkcVtq2Az4Obo4XjWoRfUF58xRiOhSefT5w3IKFIyO+cUY6vA4H5UQMBELnpyz9zXrJ/r5Npu8zNraiWxkNFb8b2PrYyOC9fnRnH5d49EPU7PxnkWhiy2t+aCGJQ392Dso8hHnELuWBDg0iPAOkIcidcvcYeX2OSPl9YUlhaVGmAxoOdHMyYvWfgQ10t14D8OWqauaNh76yB3X7xR7TjlrPQ7Jh7pH1/IMh0TamcXlOuy1cwdSxalPYWfHDTDZ62V5TEEf9J+C6br4eFj5t48qY7+BuOy3TPKysGn30fd4+flsXa5mir7Vbfe3Edc4tjNOHPwOBwNbEbXLoDuksqLB2Lc+/38eATkA6waE4QcYDWmeY0kFu1xubIH5TmYwQ6B1KMPixc/1bLHtjQ+C2SMjhHCkvUAPiL2DIBotl0aL8lG/NqAKrYMGO3T6MeR/axtXoXLn0fFn2Kbxnq/J2YIIeCrEr9Lt5xC16ET2d8jU4a10gfFky5GI1rCSS4H2QQmjzDdQY+kLtBbgqHFt58u1Np2PQ5WLoOpGHh8DjxbpNIsiSQDWUAACAASURBVFbZ0GQSyLVJn+uj2b5u5NfAcVv/+pog461nW/u1ngQzxvlvQKfpcUy8YAmqK/Ah0Y73vs90rCUYNV7cwV+2lhZbh9zRAoMEuv5SaMyTtl+WoS65jSalXnGWa3+w5twqgis3YUA+gVf6arxWkxKvKbijTl6CxtwuA2niY5v7WkrNJy1l0GcqPGlGXTTD3eag6BIWrsM+P8U1vsqi7/FRwyGyiwlP9sR3WuycmPG6LWhQfZOox5CFgSqCfEWOWhPu2/O7Gre0Bnk59btdR3PijK8yTelQSWRFLGxxA+mFBo/+wQ/Y09o2aMbBF3GoWWHzzvEgxW6fz3w/+6Lsp9YOpAVqldmrMDxlE5aj1/SjyWDWozVJWoOsA2nn4f2z0ExdbxDDuk8gVa0D0D5Rw2ID224g74PcGGKfBi3C+giM3Fme19UswfVTYUQpdF0JjZbDxdPzy7aX3n6xwOWSmXkut/UmB02eAxkcDI6KaqnCdPhWaBSbg2weOBoA8lqBbRi01s91INNAtqAZZK8EOdjhnXdBWkQ9/sJ5oO93YVgO42KldKBlCUjNqOEQ2YWFp/wZ5NC6IF2tA2tkQlTuQ+Z7o2DQCj80A35PFpCxIGNSv4u35alwfLX/Ca6yBKhiXw8xIDdqEeQzJvitCSKRge9vLp83qLWqiVfedeazFseibpFnQPsPfBbk7wd5igKsKtDqrexumtsELnoN5E+4rO3it2YP5E4Ltm9ATszj/d1AhhJDVz6QNiBvRg2HA2x3oXXq8lImeOORPieBDEeLGy8CuQbOebY8r6v2a0L34qS6OC+BfEKe7pCZio8yBdc0gdYCXQRaChz1RgE8cKx1qPOlmHMq3U95Qd0O43eQ9Yij6haOjsvj3aogF6FlPFaALAW5F6Q5ae7KDu/3A3k8ahwUjsNFs6H120FbDp3Pao3Hpz4XnnVK+zrtSRj1i/6Nnv8jZ4hIB5/FOoWmKY1EiModg1NUKzOOoVAXMf/MzGjaz4u9jKm83Zn4qv9CUIcY7avf5qBwZx1SloJ0dff81Fug/1K7RdOZzvvVhgtetsfRqB3WPJsGQ9am/l525+1CuifIfPJMiQ/SBJZugMtWpo6pzLpYBt/wLSDfguywBJDP0bpdj4P8HU2L3wHkLLj9HOi6zEdlRRWQtxSeS94prBho/Fz5UJcc3+vm+ABXR9QDwHeLmP08GvIzzJkA0qiMLvbPDdoJk4dFjR9vYy1bSy+bAwsmJ34TYx1+16GFSj3xY+ZBcLTYlzLptL2A+fcMyDXB0X1w2lpT3oTjhuOg33IYsMxDmvk6aMru11Hr0ruWcudI7zwgfwTZiM9Fi8PFo+wBso0QlFrOnhajfrb2tSdh2m3Qc1XmHKrv2o3UGw95PzsGLdxFzhRxv6MQopwl/4HFIHdCj0/jqm20NjvbwrdR+1wHO+7ghMNwCgvK0RbdGuUeZ7flzoK9E6yjfoTrtucSjIIYK0g96/DlySVNBSdZp3/LePfCkkSx6kz40OQiB6CuJedaa8dw1EIxQdeQazf7NUaQg0E+hc+egyvX+SiQJbvyhZoEIQ2OyiDfgdSICoZM/m84DjrP1ID0ewIJXvYyDzLX1VvOQpPBhB6D5QO9d0etahelfV8PVYI8hYdac5nr8khJJKTIjVsX8B6DJtGpFizdx6R9F3+3TC97Imr5PgstTvuFhdNH0eK1BbldW+1/CNI8apwUAH9jkFnh9FWWxKUsBnGM6OfG41G3/e7Qe6E9nxYe620Pj11ffRaBDAZpZcG1D1mVSj7DFTVTlJc7TCHKWfK/fD7IEBjwTa5DaIR4+pO18EWusQ5/7EW1oM1kuGajv6514cSLgZyPBj0f6vyM00I2+FuQuTBihz2s7aa6ORAGteiB9AWZTZbilamaqlZvqcUpdZ77AZ9f9EQzvH0Lck1AQmfkrnwWT04Lu19n/gjHel4oj6CZVHMqQ+J4gzSDr76B059K1hqjVuR/o3GMrseVKlzWfwHaeMq2lwPW8SQlawmO7qPT5nXPuQTgKuovHbOvSWiile4gE1EFySyQMRbv+jo2tLjqQ1HjpAD4h4HcE05fRY2h8460dW4HFDVOPJMrDthPxa5TX70Xg9yDxmx/hlooN+v/g1YErnCOjhnimc0jN9yZQpT/8QuNciw68Y0fQoP0CwoKLc83GruzxN82w6M3qsn5DAdNqvNC1mMuyPHZYjDcHj71ufYfqAufP2sDahGdBHKH/e92sF220l5LWpgF1Q96WmvQWpALs9PFl5i7NFe+MH3d5b8gQ4JqP5OmzmOCJs+ENw994ZHmqCLrmKDx5z8t+m91tm7LxWj8zGiQit7bP8UXF2vUhWwtHrKV5k/3kUn/d1sOi2aBvAKyT5zOUqmwNClJtdCX3f2WgXwMsgnkWZAeJJU1CQYuqWPNBc/8EofbEhBcJwEKhgeTlZy5LKT+KXbdroXWHr8vyAnQ8/Og9sNf+4uGEcp//EtCiFqyHAZu9zf+aMbd2dqMM/5AbgK5OWo4Ihx/VZDv8dHypvT2l8eywG9A/s8SNDK0f7m1iW7i9XILHqjL29s+j21/NOA4w30jXAG1qFa+LnZops1/oLE2x4QJP8hZsHgxDCgNiRcrWofT2n63nUkPO57tcBxISzQ9/1wY+VPQG3JumLwK6tIJTSJim4ksjre7w5v8EeQdkA9ADokIt0+AjPB37H8/Bwb/lApbx2K1mLVKtsLtBnKXWuh6rIjDWcB9vFbvhSBnE3IMEsgckDOj4OkC4Tao+/ifQuirElz5Za51zp7W/mUZzs1X2Xk8lP0wGmaIr+XEJYNVBTkF5DL1u/RvLCAX6gHvypOyHTLjGj+EasNaRQ2HPa7C0cyhwan7+9jen2HpevU5Dp7eaNzB+yC32eMy+0LmB2+iLmkzAxjbWahr4oGp34ebSh/mPAndPvaCIzRj1ato8PR+XuniD9ynPRmiFfQMkMDr7mWJ09uBxnxdC3JqmGNPoulHMGh1IXMeTVayEGTfoHHpz7jdzUVLuL4WtSi08Y7bQqzHcrh1oC04Hiet3Ze1gPUZT8GIH+HCV7MfEttPjctZyp3VLDolL8hIQnJ98xnuI0C+DqGfc0EWwNASNzylc+iUF6DN9kQccFD7jrf5GsZ+WIlIrho1oWrad1WBg2pGAY3TZQy7AYcBx1p3PetvDWARMB+o5NdYjOHPwCNAC5EHPwE6Oz0rsqU42+8RXicCfaMGouwypnotaDEZHqyrdCkFejcwpnpTC4dBXCuBPwHrfWrvCqjzqMjUa3xqL+slwg5jaAPMNIaFIjyR+G1LsTHVm8LSscrjJatg/shkXPrEm5uB6gW2kXGJ8J4xPAr8zxj+KsIv+svqVcobyXO5FB1fEFf9Q+B/w0V4z83T1trwEvAeMEiEncm/J+hS9VWoWBnmzEiniz/XgTVCXLtbA88H0G7a5bQfLZguwnll3xgzbwT0PjVtLVkK80cGB9v3pVCpciEtiHCnMRwEvGIMTUXY7hNwAV3u5qIIPwN/M4Z3gfHG0BwYLEJprh58WKOuB/4lwuYC2ki5jOFs4BhofAm8PwioKEK77G/t2Bmfs5TTPJq7BlovtNsrQr6eA94yhsGJdb9cXI2A6UE1bgxHAHcARwFD4aHPYE36mSljnbPo2ErPWAdPhZu+gy/mBUFjr/M1sR9Wew3YDT6b6Ttc0UjSThqK4d+BDEzXqoYgcRuQQy2rz7VoatzPQLajNTWeQwMZL7G0AJVyj8Wz/3RVtH5O3yho4hMea1rauNgki4jCymlZB3zJdGVZgdYQQfFSNJNUJEHnqFvOtwG1vRvIDJKKWoabDECMZZ10VfgYdXFZA9LHxbP/AhkYHF3CmU8Wjr4BOTp4XnMa08WvZz4bjsXfb35Es0A+rpaNxP4VHOz5W/rzc9ORIpDH0Ext9YMdn9RFk6i4zvqXe7yNxmkR3PZTrbp3a0GOyp9342R5io9HkcUfp2biPx4xYw4w/x9IvwDa3QfNArseTahROfGbV0uPTAJpGTWubOB6kIDKXEQ0IKfFcXwHkHFoIOFTIE3xP+vK/qjrzgCQh9AUlmU1Wt5AU2V2AzkBZM/8x+Il+5YYNCD7sTgJHnng9kJiVswybHcsCw//cXPQddlWO5DIsiiCXECODHwB9VsEsi3A9utYgv7xie/KNozhW+Di14M7GEsNa8PKOdfRLIElIGe5bPthkMuDw9t5x2i9oaDdA+UkNGV14Ouh/Rreaw0sXQPyCGkunmHcAWZPfM0aUwZe/ThE+hdPVAZL2w80Jfx1p7kcY0drXg/2++yQ1MfDIDcGx3u9N8Bnz4aJ7+DGEo9Y7CTajQW5vZzB/EXyPuVDe5WsfWWNJVy4UuLlaDOuwtPjuKxf6bnt6AZVVAv6fKnBaRkFavdBC+PNRdOSjsQKlnO7wJMSlyR3oQUrSyzBbCrIAxYDnUGBvuA++E9fhQYz5hTW4nyD3ABya9RwpMLklFnplBcCxMNIv/AAMhmkfXCwuskyJkPIkoEvIBxWAPmZALMjWQetRaSl4EYtzW0D7LcpyPs5ntnNWqMWgNT10PZTIB0DhL07zH8raOsLyK3YxNwFN67MNRyNMftH0mF8t/DgcVL6dPiwQLxWBZmZvj4VeohEFYB7wlkTAxD6bgH5j4fn66CW5df9FnxBaoNsKPTMkGjPSUhuPskb7545QROanDEhHtn24hWLnUS/E9BkOyY7/uNhLQPZD1Xu+2It5te4JnkX5C8+whlX4elZkEuCaDuimCdQn0QmAwtFuC/1N74D7jOG+4ETgJ7APGMWzoVLj4K7D0r4YvZpYMw/e8PQ/XCOS/oceMv6+60I4vdY8Og/rX6i9cbC4UfBwUeDaSZy0/d+whXBdQLweNRApF6V9oBRwM0keGYUsCOQ3pSuF18Af6htzIxD8vGzTfBG7bpQpz683BfmBgSrq3iwu4BjgCeMoY2E4C8uwi/GsA0oAjYF1Md4YzgXuAe4POmnb4BDgujTuo4GFjj9aAz7Ac8C24CGImxJ8ESNmhoT4shXVSDQmJYucMwDIh8+mwqza/iyXol2mrSC+e8bM6VWGDESWdbwa4zhYSweMYaBIrwTNDzOcT91TzCGW4DbRNjmtVURSo3hr8A0YygR4V79pd7YxDqA1e+DdaHqq8YwBahmfZn8N/27HdCoYgAxOHcCi43hVhG+djHGZcZwOnADMMcYLhPhjQL6T76uAx4QYaM/zTnFCVVxHe9p8W57K/brSRGK/YHN+xXjWOyyaw5QET0jznPGf6PmxnA7sNi6vwTW2Z0d/Vr7HK6GwEwRfnLbj91zsKUyKXFNvOT3OTimV3D7YcRS4X249OUEqQKdpttrCa7bbGmLb8QmLimasTlr9MuDqThPeq4k4LTC3mHqX6xZYJKrZRdLXNMLhxt7417rhsZefRCWZVHxMKIU2k8PNrZEitCabe2SvhtMgFmZULfO/g6/HQOyFOT2MqubF55ALezn+k+LhuOUFiN/gBMPz/zdL1eteK6LlmWlBcgya6+plYobf+MlnHEx6FTUtX2FZTk1+cCAxviugNcGWJaCjfaWrj5foV4g3a299XyQ00GORzPO1QTZq2y/DUqTDzP/BX0Xe8UzyJlo7NydZCmQ7bKtQ9FYRd9isv3EF8g1IPdHPVfifoP8E8vt0hn/7T8AuR7kfyAfWXTfhNanegJkFEg7+PcF0GVpUGsWyG16rvVSIzH9ub6bYOlG0uKafMZpXC1P75FW6N63tiMemGvhSZ8PP34lv3E5MfqhdUHqQacP42wqzpOWB6LuDLGJ2QLZA0Z+H15qZT8KW4ZZb8jbfAI5wDo8dg6WbuEeotH4mrWJA7G0AQnSrXMaNjFMIBehLmJdvPJE4gA9bBO0fDP4Q3xRLdS18s9w6fv28A1cjha5vQvkZjQZT3/rIN426SB+gh7Emz4X93URZE/ULXe91uML8uDk7AIFchrIbC2Wml+dH7i7eaKm0BjxJ/GR/3NX2+y6rACXwn1Bnkdd448sgPYPgPzNX34qqgUtizXV82jRvy2L8yzvUA8Nc4jNHhzHG6QRyPwE/t3V3ENd6BpZ69etIM9pkrPg1iy0ZMi57gvFOj139sSAcRpX4WkmaQlCfGs74oF5FJ7i7Z+aG87RO0G+hMEl5UEI9EjL8/G5qKkPMHWDBVPCs+QULtyHqSDIZz6RyMDXMPV79j4GngYKzkAVUYbEa0Cmo8G0J4PM9r+PssPwiJ1w9sQyHkStGsPRpDUZC70zT3T9RA/zwQmbzrS4Zh3IVpCvYeg6e/gunw/SC7XkjUKtaf9GtbnPojEpU61D7WK4/sfysi6CHAIDi6Pcj0AqQpcZ+cKQStti0SKXhfNQgs+v/BIGLC+UD/1RSomxeHEdyOVeBQyQg1HrwwH+0rColhbBTcZ7x3yFJ4NaJHNm6fst36jSZxXqoVQRlhRDizfyidMKcr9GvT226X7Ue7F9P6NzfPYPHmc4i2rBoBVw2by4xbmBfA5ybCBtRzwwj8JTfN06UuF0mlCXvK+/lw8h0B09ytxFes6Fjx+IGqYk3jIgn4JckJS56X0tfHlhvWD6LG+Wp6Ja0D1t426/Bc7N6ioH8ldr8zlEP1c57xSq/LAM5BSq/ABVzisMrkgyJFYAeQt1/T0QZJ3/uLZbu048HHUDmY1DBXlnnhi2AWR7kNpPZ1p0mw2yj588W97WxTh4QhQCQ+a7Ze7NrTb6cQiCbsfDqB913XVb2DLT/dBPPIMcjSa/mVjGvy7f+zfIP/ynn788D3PGQ4/ZcU27HZcbPn0Mes7RA/816/IvAeBEv0ErnNZzF7xWxdpjZ1ltroR+SwqzPAVayDu2Z3LUBd51wiVPbUc8ME/CU4JYsc7mYqD7J9kYOO4M554O6WO4YnVcxoC6tSwhLV0tLHgXOk4LYnPxL+ap2/LwXNbuuwCGb4TWH8NFv8DCpH47bYf6Lzi4MAwFmQu1WpzMvr+UBUxsBDmZfX8pRICKZgNoOA4unQYjtsOw/jD6J7hkil88ksOC8zRIlezw9Vrr4DpXGbrMSm237HZyv3QfI+PeZXDXjnmKA5/aw3DBy/5YnvyF3ysts7uH+i1gyB4g94B8DXK6i+f/aC1tvqesz1cwtJvDel++urzMn6huxVPPb/2zsqbzbZel8NFdqJWzH0iF7DHwYlAr2CCQN1GL/nsgq9E4Y1NYzFOQ54fo18Ds8MlqkBqBtB0tA9unKi+vN0hFkHth8ZfQrTgbA8ddCMw91nhOmgReB6+BbrMycd5rTZALC/Q4QbWt+R+8Ydqt0O+rMHgDDaj+wJmeIx0WaTGwatzJVP85PdJ8I2UWqPxc+MJNmmHXVzdJFSIL79v5kNR3Ka7qPc2dqC5advEvXhJ/+HeotZ93hfFseVoXoxb2QM6CpevhipJ8YIjG3dN+f8j2fFBwotr91SA3kSXBFMjdIHcGQ8N8XKed8OFUliMeB9m43P4L4/ZrFshRINNg0Wzo8U2mgPV8D9SiuRRNtvVfkNYg1a33nwXplKsft/AEg8vore/Z4ZPNIHsF0nY0AypfGkaXRKoK8iLIOyB7l6dDQH7jjd+kycVXYQh8qF/9hPzhbzgOrt3mZ9B/DngvBnnZmZ6jLRz1mI0WGLwPLej8+iGc/90y+5dkGcgx8HRhtLzicxUugsy258QTY3zlEed+2r7nkk5fgNR3z/f2VsP8D2u77lpWGF2LaulcHbY5TNyAtEdjD88uhD5B0dbL/gBS0Yrfc3xe4bxmnbqL+gmn1EDddT/EShhj8/tGgtJe53EWcp7D7X+I254cxzvcuGKpAF1m2tNraAnIMJBjSVOgodao1cQse3Hm+Jx4sUnee7/P+N9BQPX5KhHJ5VRTYulY4l0jwPYyhoOAl4GFQFsRdsCWTQQ8loDrC+S4nOqQVKtiDEYkihoCufjKqaZDQTVI0q+2wINeX7KpuXQu9J5sU3PJ76s6sAVWb7anZwXru2oHAD8CXwDfAd99w4g7L2Xqq2+ybbd9kt76DmjH3rKAzzcYQyNghnisDWXVgXsMqCnCkPyHl+ty4olf0j4XyiPzR0LvBqk1tQZ+C7cdZgx3A8NF+NHuTWPYGzgYrVmXcSmuqjeFxXfBn1tCHeCWPWH/ltD3OGMeHwYHHw4Tu0Ktul7nQDmo3RLZZfFpS2A9cIUIgdTqS13r99oLRtSAuk1FmAdbIE/6BEfbZZu1nl4F6+4O7A+UrAIwhn2A5sBfgfOgRiX79Uefhy2r0ZotZ4hQ6heUIqw2hvOAwcDHVh2vCQl8n3QG/LQWxlW28OzrlZi7S8fqHCxxsY87rVkbv4fSys44/P3Sy+ns4j+eRPjFmNJSe3otWyjC3x1erQUIRFezy91lt68N2wz/PdUY6osEUKDS5WUMuwEVRNgZSAfRSIPxs1oUINkehaYHvSFdexBsv1G7jDzRDgbvTO2/+9ew+AvLMlEUN75y1pIM+Rat4VJQbTA0lfcmssSvOL8bjRskSF+QB+z5aahoEHk2d5sq551kG/PUshfIGLSa+Qo0XXVD0mLQcsDWE+TRYMcfluVJqsH81+HqNdBuasIdSfZB0yh/CnK4w7vNQD7I3cfpT9mPpe8G6Lc5Ma7fXXv85yOZBdI4mLZtXUuXx9UCaJ9BbrBAm5Uw7TY0/fIWkJdBeoMcYj/Gy1cnvAbkVJA5AdPwRJDFMPeZIFPQFw6n05pV/4VdzaMnOP6Md1wQSGeQQNOL+4vPVOs1yKXkmdnSP7ikOsiWwNqPZlDxjJfJgzhNUNeJbr8lHIJUBvkCXrpS4RiyFjpMsybNniAPgXwJclyccOIc3PnmELQQ3jdoDZeD3PeZHAjaZQbMeyk/2J0Ev84z7fvyK5GBXAtye6L9U16ANts11qlMcMrlRlLlvJOptnMZyMlU/TE9WQSa3nwMyEJLkLrTjSCF+n9PCpZnbDfSHakxT12WFoJrkFpohq+HsSlSiLpo9MGmxpP1+0hcZPqCdh/Y89CFSTEx/qWk/v1OodG9INcE03b52i+d4b2qFHX7vQBkz8z3kg9hF78OUzZo7a/W72r86qePh0DHahpvGl98Z0+u8buLrXschhUXlI9rpjwAMjhqPBU2bjkSZD5amsKzQtmH/g8CKQms/WiQasdMPb8tTxPd0gysBTknmv6js95Zh7mXyjQKaIjL4WnPdLIOg73C0jy4WaSyLZogx1uC33doBrQz+TXTjV0K3ezaUm+wOx04rt8G8jFMHhaENhQt9nd9Jh69bSzA3nU5bi6smwdSNUt/yYLUN9kEKZCzQN4Pnm8urKc12H4db+PE+K/6GmY/WgB+T0d916/KNQ9A/mLh5TGQaknfvwxySe6+mj3v4H+eVlfO35TUv98CSAeQ54Npu3x5avhT766oFvTekLre9VoTThxo/PGt+LnoNRi+9fc5HP/b654KMg/klKjhLnzcUhXkcbTe0hHh4rv5JLju+6DmR4RITWamNpPhq9Ug+0dNbBfMYCzhoRjkmOjgaPKM/UGp5ZsBj/8wkPX8WuNH9kVdMOwOv0dYi0BobnwJvmrzHly3FZ7qkMcY9wIZoAfZxYvtK5A3PbqQNMH2cNsJfjXqqKZ20IogtKGoJri/T7xhQB5B3dByuudZgtSNaYJUgySh/DiQecHzjBwHssDht33QlMYX5tFuT1TB0tzDO1VB/g/kS00j33AcjNihglGuDfe2s2HQjkweqv97Fq7geai2JST7rijadSxP/te7C8YaXz7wba2fC6OG4/fbd7ruhRbHDSTRQQTjSS5Q3S74/sJxy4wcsUkI/gearS4S/0iXMO6Gut7MJqDsOy7hOByWLIW+m1IZ5IoS+GolyDMEkKXFmgSTQYYkfdeULNYBInXjk3bw5XxolNfmquNt9Zb9Rjr6J7i21E8NZXarmP/aUO1vwDK4YqGPboCVQaaCjPXIV/UsQeoLS5D6J7zSF0aUBl3wEaQlyMtZfm8MUuJ2zoNUQtMbLyZPbRu8NgAG/+TR1eN4WLwg0//cbjMZuB32i3Ump/J0WzxcAnKo/20XNVZX0nTX0qJAYqx8gLfgw4vzejdwBciFINWCS2FePrIBg9QBWR41HL/fvtO1ebYzVbiw+KecADkBTct+Dxx9mN9Kj0Q/4Sg/IidOEmJ3R4Ome0cNiwN81dGUpq+Q5FITARzngKwBucIhUK8KyCiQDahLlm8WH9RVcQ5JiRXQVJs5a2AQmRvfwO+D2cTLcB6OhjKY2hTuDgheF1A0ccYykmpUeOAxS5CacXdmQpKgaj3JYJB7czwzxlIc5IrT2sdaJ94C2SdMeoM0AvnQmd5la8VpT2rtEX8sjr/fv+L/BZD2/rfbcJzG4I0RLR0wRvRzvCwhqTAXFlPizP+XzUHLgWzVVM/BrL/lIXYIpCbI6qjh+P32na43gdwaPRz+KxF0f5z/VqHnsux9hON2GzmjpCH2SOuAfVTUsKTB9SfU/ex+CszIViAcfSztZhMXz/4RjZ1YBdID9qtdiKQPsp/V98lp3z8N0tkDfUNz4wvafSRMDaXffXlzi/HerwpAshbkVH/hu3IhmnnLNwEc5F8gg3I8UwlkGsjwLM8cgVpY7yp0nchnA0CtwJNdjvkI1P22jt+8+lu9LUXSPc6/u1NCgBSBnIQqq27RhDzeeKG837nWHZCq0GOuPV7a5cxMuSvclqJmU9Rw5KZjMBaGXfW2lHR/jR6OYJTDQSudf3OWpyTG6QUyF5usVBHBUx/NEHa1nwe23P0mLzqnPQmzH0NjQ/7sEf5TVMt81Q/eD8DJMPRbYhc4D/KVF2GXEN34/AtczraJF9VSTfC1peFk7ekyE676tnATuh1uikWTC7ROsmSeMSHfhQh1r/kW5GD/aNdvOcgiNObwDj8EKdSa3MLFc4daAmFGIC/IuahFuKc/tM7L8nQxiOts/IXRtgAAIABJREFUjyBDQabgIX3873c2fD7eFq5Zb3dQdE43/lQHtFzAv0DetvaaUtTCPx5kNLSfWh5icPzHZ9n+c813GhfttuDzqB0gM1Fr8akgFVPb2zUO8tZe+kPUcGSnX/zdH+N0o0q6LSD7Rku3huM0oZD4rrQJ2jIEh9aFQT/+ZmKekpjHgDwPsx5KX+iCXvwy25/YDbWEtQ0XB3aLzoBSaHFsfu3lcxCzg6HrsrTsdHuDbC3bnDzSOXA3Pr80ELlcOKy2b3LHUwVnx2uFD+m7M3FTLFqLJZneg3fC1T8XstCBXGMdBB0z8HmlnbVGHAtyc5ogdUo+vITWovqLy2cvQRUGRdZnAzIITRZwun+8m1d62/YgEzyMuyLIhzBl9K50qIzithQbadkwuxfDY5eAtNNU23b8fPUakP+grqPnoWntK2S2/ds8hFqHya0ge9vj3A4vRx8GcjYaRz1f95l5kzQmeNfBobX2SByVHwrb+S/9FoX+AvF2AhEmAUmdU041Ac95trA+grY8SX9YOC1ot9vImcV+8J3rZ8Y7tCzOLLznp5+k3UI8+Cd4tHX44/c7vsVJ0u8+x+mw6QYGNJX0tPzHmezGd94x/mdNKqoFvdcHuWGi8T0C0tAdTxXsM9wIZEae7xq09sHZcP8/4YIfYYS1SA5wWCgbLrf/vqcr67DV5/9AnvOyySvu7LIcZgiuBk3xfTNqzSy2Dk2uBCnr/e14cCMF+S+afrUymkDmMxDfeCoVB57S216Gx6LCmqHPW2KK3287PDqtl9esBXnWSnRgswa7VULEPwYnGLxK/WyHSTd4ATlEa/Dtegd5kB+wqZnlfz/ZlYBozHoDVFn2Ish6TRMtefP8b/HWg7/8N7r+k9cxu5qAfTbC0nUgHd3sr868lHtvzxN/+6PeIYFnwq5ELK+lV8ODlaCq9bkqUO9QuJbU7x6sC0vHAp0L77PeWG0vuf2bK0Kz1tD9+cLbd3cZQ034y0kJOMquqsBBNfNrdfUqKCW1zVLgoNrAbGP4O/CsCD8lfq9R0wUMJwKz84MJRFhkDKfC3IfhyDkwdjftoxTo3cCY6k1FthTn3/6WYmO+/Bq6fwY/GyhZBfNHFtKmzdXK+rs98yc7niqUZ8dUhJ3HGLPoXaVr5niMoQJwMHA0cBTMPQXGnw2V9wF+hkZfwII68MzuSfgG1pNK86pAtVXQ++fEOEqB/l+rxpz5xjBAhDecoBVBjOFK4B3gJmCkm1Eq7eZNg94HQen3TrQTQYB5wDxjGA0cC7QFngAqG8NEYCIwy3o2/ToQKBVhqxu4rGsQLFsJT/wAW9fDrHdgDrDFQxO5L2usXvikCrZ8mO166TJ4u2Jw62r5v4ypXkvnco2aTnPOeb38ar4IlxgzaxyUdspcg0tWuYEhD17YVa4GwEdOP7rBiwjfGFO63d89NTbX98Ce1t9ALuX/FpNT94C+jYx59ka45DCgMXASsASYCjwJ9IUptxfC87/R6zTgzei6T17HDgUGAHcAn30HJa/B/JFw/37AY8AlxtBHhDXe+tjyHSwD2r0Clav6fC67GXhKhAU+tJX9ilrStpce7Swlo200GOKbFiNIP0wXWpsjQa4FmQGyUdNHh5FZbb/aaFzKByDLLa1HVQveZQmrRLGT5Wk8SLfC8ePGyuXd/Q2kBlrwdvfgeFXetmDOiN+CS973k6ccXIO+hhd7gVwH8gTIJ2iNiG8VttmPQq+1qe902KrZutLxPdKWBk7aXZC/oqlHnydHimaQP1g81tEDbpeA1MuTLmUWqbGoRWo5apE6OVljhhbonemt7XvPz9TIRW+tsbS+//D2TvwLgkaLU3fW41xr2G/Z9S5/vDccB4NWq9WoUHfn8lG7yfu4ZDVIzWD7cMLd0BLU4t8cZC97Gv7O8x7p+Q3I4dH17zaRlFRGszmX4LF2E8gtII8EgLv6Fjx5Z7n11F/UzOKegCMlyMUvuMwiTgvIw61A/obGbKwE+TeaLWu3YNy9csbtNNRD8NL1mZXdh4oetlNhsA6leR1uU/vOmhzgFBXy8sr41gtkfHB8KgfAss1w3Rbo/HFSuviDdIEY+YOfPOXMo4NXWoJBD9R1Yq/c74yxwXeb7XngeA8SqfFHkMWVD41TcpWBD83uuIU84uls2jJoIdyxaO2l5SB/twSpzniLE2rlN1195McbQG70h6fOnLCrBdjnh1P/slJG7XpXXugZ3P6X3maPb+KKA/fjkmUgdYPkgUIULIn+2n2g6+YNvsWF7kq34qnZ81oQPbq5qXAMdH0OQBOyfIFmXd4/d/vyJ+us8Cd/4RaDGgGuDA1XUTONMwHTF7ooYp78KLjntPkO/846zJ2Eje9oVBstnPeiw2EhPVlEddTCUXDq9ixpqReALIQR2/M5rIK8RoAVreGd66D/1lSe6bdZBSq5D24609/04vmkr3Z6Z4QNPk95IV+eA6kNMgm1Fp2X5bmLcJGBDw2e9936YSNIleHAdh6mvTcKZAV0mZXvYSLIG+R2sqRSt3/Hbt3rtxneXQOXr/4ta42V5j0+c0vrqIUj73SOJz2hydPBKTLL6NPmc7h8pbM3SHkRNGUhLhWY+fIANB7vBz3QIuiPRY2zuN1xmpsgdWDpBqW561jbPVHl7WqQVs5jbDgOBq2CXvP9T/Yml6KJqQpWtrruM2rGyc5Q6QVgi2qp0NFpRrDZ9vou1XoyfgSwlS+3GLfwgpwB8pF/eM+WDrzjR96FBqmOWi6qB4erIavsN5WzJmby1CVTNIVujxPy7y+frIlO7zTdElDAZpkr3ws4JFFA6+F8SpYMfKgV5bZgeV0M6ua41hL6llkCSIoghRaenoCmP67hjNNzXwgSXhfj+RfIAO/v2a21rd6Ko3XNP1zldKU+FWQKXLtpV8BDHNzWnHBuzcPjQa4HmQojfwpyz7R3f04vPxGPw2zuschskJP85oFUWvUohu6lheIDZC9rrY1VHc+o7zjMzSQajSFLrboc756GKiTHkZRqPej5BFIVdXcM1aoZOeN4Q9KvwtPMILVBqA/ve/60FZ+J4Se8aGrdf/tLW3utbX5Cg7QDeS04PMkBMHKnl00eNW33KgxHXtNXO77TOCgtORmufMcdnn5owiEDX4IPhq6HS98Pbo5n1pBBfaZvSROkWlgHlCdA9nDG6ZXr4KtV+ODGWgDeH8a3OlPlS+njnfbp9Gu/ReeEHAHyLOpK3VNrhpSPg3R+9OzwYXQ4v2I1zH0G1VgvBrlH997Tn4rGRb/nHBXges4pL3s2yHS3h0Zo+4E9DwxdD3In6uZ+Jlx5UiatOn0N9V8odL9AFWcTcz9XPix//tAwunj7NNpUQF3ajy+AH6uA3I16l1yk3wWemvwmkKdCp1vUjOONCcLZxNB0h5vTD3b5w929uLxsvu4DpOUJkB5xgikNvvGFCCoueKQXDCz2siigNYLeLhwX3oSexDuDS6DTh+G5gEptmP8WDNqRSbvjDgeZBnJzIXQOgp9QTXh9kHeSaHs7yIlYFil7a410RAvlZqStDwnfT4F08Ket8qX08Wds5+9QlxUZDlIl8fzYJjCiNI7ueO7H7OR6NfJ7tM7Z31DNse9uLyAVnWv+dPuYtJid4DXVTofV/sUgt1p/AznMBoDbySDNcjxjQNopD9vRoN0US6h5RIWx4GI6rcP1KhBHD4zyZPnzh4ZO69FZOYXM7O16wyNIE7R0TMF1N1UIl6Ug/3MW2v0QDqUWqqTNGgYQCN2iZpzCGSyYzRzka3zKegJvXwMDl5eXzdfNAR31tc7IMBcsTJe8A1dvyIZDfa7xeLUKnfNsgNbJt+Hl3h4XpyqWUH5ANHSVIfhoLXTXp9O8HbAMdYUTkA9BOil9g5/j7rI7ShfUxeQi1KXoVtQitdQ6aP4qSKXh+HzrPce4rwDpOwmkpT9t7boHmOxxgI1fSdPUNoZO02HImvKwdjuPecY9MGBbJj33q426KI5F65WtQ2uYtSXN5dmNFhu1Op+MWjEeQDPIboPrtns5QClco37UGImec/y1jOfKjFh+FAcgr4BcnOX32mjs73x4tLU7xWiwVmc0q6+jV0h5wr8/+LBba/t+Z9VT6pqvMOMVjyroyBAfebMayH3OQrsvwvizICMjoVvUjOMeSeG6kaAuRQVpcZM0/quhy8zyuvHa4KYaSCnIbiH3ez7I69nxHYblQg4A2aTCkOdCpgW57hUI95m4jFPzy23Ced5esQBkkHXgFxVKrt4QxhzPtpaAVEStTEtJK7RHIjbjVpCvnAQpNHPlmkLXjzzo+xbIuf61V8YDwzZpDNSusn41ypKBMjnj5EKBzjZW0+jwkM+8BDlB+bH/yS6UYoeC9AV5HY0ZfRtkINxweuba2nUZjO+AKmWe0AO6bAeZax3ErkJjY/fK4yB3lDW/rsTnoqG5Lc/lR3EAMhGbpEggu6EW1PVoGZTdU/knGw8E7mZVGS1mfpr977uuy3B2nszwZDgRjQ1+C6SO17nvBY/WmW4TyIH+j+2pjjB4Z+p86rOx0PkEcjbqZhh4kWjb/qNmGveICt3ydD3IHfm/X34W4DxwcxrIxxH0m0N4CodHUK2q6/TWae8W7LpXANzVUaE3a4ZEP3nXpZXnYpCV0PS5aC1PZ05ANbnvkSPtapIgdVuaIHWC9Vs9HZP0D5G+00AaB9DunSDXRsOz/sc+wJTR0O2nVP4uK8eQXOtsjMRJA56n+/LuqCtO5zzoXg2kFcgj6t5nh4ur16KJSnpavG9bqiAPF6IeIE+CNAN5Jzi+cirdUVRLvUUuXxBniyNqJeyW9l1Di+ZvgNQJg8/ygPsykCnYWu9/W5anHHiqBHINLN0Ivdd7m/tOeOwxG8stOTEPrlgIg1YE56lzYT3ouxiu/x46TIMlywrZGy28fA7SOjLaRM0c7pFVVAt6rAhLGIGJXbUIXH6b9q68AIAMBHkggn5zCE+dZrjVtBQIx9sgbfJ8N2rXvS9Bjs3+jH+86yGGbjh8+Xm2LFj+4cAOpu7FsHgx6mrkyaJqCUsnpAlSt4G0Rl39xtgdEgKg7adkiSUooN12IJPC59Ug6v3IESDr4dL2mnGyrBD4QoFO2xMFwUWCLszuHfa8EufcBPJSofwHrd8rFBderPQg/0Hdu+qCLI8G33IXyNAo+naPz35L4MpFloLhWJD70Zii9oXQPJ/YWo+4rWTtRRnxWjD1Frjqx9R5P2gHzJ0IUi1qvEdD6+aTvM99p9pmn78Gshqmjg1jv02je3M0M94bqKUrr1Iy1towOYx91emuRLm6Nq6Cyw+Akk2w6SNYOlhkS7HfvRhTvRa0GgP3HwhVD4RSoHcDY6o3dd9fjZpQNe27qsBBNf2ENaLrRGBq1ECUXcZQGbgOatdXWiXjvRQoWeVjXwcAJwMt8nlfhO3G8AbQCnjIL7g8XJ+g9Ps8/Qdj2A/oBGe08It3RbYUG1O9KSwdq++XrIL5I23m0d/h8KNh2AFw7kdwYLZnC7oUpnv7wy0TYdEsMD/DP46DOn8X4X7v7SHAp8CnxnA9cDzQFvgHcABwA3CuMZwuws9+jiXtqgJsD6DdGcC9xmCssYZ01RsLD9ZN8GJV9PPSsUBnr60ZQyXgceAGkQkTjKk+A0otvnxzFXxfFfZvmXijAkGvJy7hLgJaw2kXeJmXxnACcCVQv3C6rf62UFxY89gt3RoA/wW+AWoaw24i7HTbl09XCXBgyH26uvSM0mIy3G7Nj9IjYNSlMOdpOP5oETYV0r5HWuXRPj8Zw2jgFmOqL9G5XqMm7FYRbjkcdm8Czfol9ozKt8Bxw4BPjOFSET4LCrZ4XlWr28/94xsaQz1gQfocT+y9NT6BNcWwZJHup48UG8Nf4NmX4YFD/Fpf3VwivKl9cyewF/C0MWwUYXKud5Xn642Fgw+Fw0+CfS4WGRLifpR2RS1Ru5Myw3WB80PzHnfLUyHuMJa51HcNt4t+MyxPII3R5BWTYGiDENwN8nbZS2ojQte9qWOhz6IE3WvUsbRBT1uaoCeh9dtR8C7qCz8d5KYQeOl6kHtB+oCUgJwdQB9lFqn7k3B5B+ru57vGzNLoHRLQOFbhULcrOBq1KdjakTaOUWj8gG0WVV0T2yfVP1so0E2icL22NPPno1lDN4G8CO0/yO0CW7aut5miZT3eGOQPPKFmuy1CC7BbcTqynLSMfMHjv6iWZiYdvDqObntxP1+4pHMFWLwgsxh3D0f3MZDOaFKTvlFaHeJD795foPFjX1l7S2OsjJmJtWDEDrvkWVHHlqE1Ia0+H2+b7TwaxzCYyJkiE0F2RfScAnyDindyYqpLp2WDM+7E9gM21O2stGxjCxfuZ7vDkG8V72c+DZ8+gdYTaEOWFNL+8ubVG/UQU4jrUOMjtWBuu6lhbsw6hstWptJ98E74cp4lROwTNe+C/MHaDNoH3M9Ma8NZCPLnEMa1J8gKay1Zg7rz3epGkHK/3oz8ISieAnk+KJrYjQ/kRBi2wT/3UTkRzYL4p+zPnTtd3fhGi/6dZv1ttTHouWoJqSehdVJKQD6yDon7J/DUf6v7RAcLRV0TW3zoB+x+r63O+72cDZK01w5ZDT3mhrVWZln/Gvsdf5c/jLtGUgVo+14erqiHoS7Kz5XtWbv6nW1PJlFaYwyarGUtzJkAl6/KtofHQQAH2QeWbdOY03RYmxyFpiI/GS55N2pYM2CPmimyM8eV62D+6yo5i4S1UDgz1agf4YuZClfug6WOqfcX0HtJ1Iutu/G1eCPXYgTSAOSTIAK5c/NHz7TFoO9maJ01fic43sw3gULutoLCrZfFUmHoME1rQ4XLuyB/QbWLpwTU/uHW+CeD7BXiuCqhtVRmoIHwt6PFeMsEqfrpgpR7fgnc4joM5G7/cWKbpncTLF0Lbw7xY1yW4LoQpFPuZ8M/UFgHhBEgX1gC/ZhkgT6xHnSaAQN+gEYv5y4mXiz2B5K47EFZD4PXg9wRlRLHngcWCnQsjQs+43Dw9Wcc+QmBqJfCPaiiLZK6euHjyp3yAqQ2dP/EnZU6egW/My+P/gktGfRJWJl4PcEdNUPkRmCHaWFl4crNVMcd7lVTgrpDhZqyOPf4nBasYZvR9LRr0Ew4D6LpZpujKWwrgPSDOePDnnRRbhb+JlBwaqvNZJD9glzQvG5UIOeBvBkNj0oLNFtdVktBHu0enTR23wuCuujfgPwdTev8RxLWhmRB6pYyQSqTX4pFM8Jd9KtQC82eD3puoCmnZ/iPj+wFIhMHhss+g+EbYb/aecD+TzSlc043n7AOFCD7oC7AH6CKgvtQxZRn4TnxbPL8jlemQPd07/qx9Xm9Zv+Kwn3Ybp2MFz7jcvANjg/c4RXN1LoGTcdu6477W7zd7vVBJwbxC9Y4KgtilDDCKcHCDztg5lDofVwieLgU6L0U5o8MApJsQe7GtBG3Qbsa4HZlE1h3mDGL/xpE8LvXyxgMFBXZB/9OfRnoAtQEjgKOtP5ebP2/N1AFXgQeJMxAw2gTcPjZt1NbdU4ElsGACnB9tWBwu3qVx6DvjcC+hfWZ3yXCi8ZwJPCiMZwhQmmhbRrDX4FHrY+9JNjkDbaXCAIMM4b1wDSguQifoIHQ16LJPNoCLwA74cTdE/T6GvgXcCNWIptOcG1LqFw5+Llx1jo440RjFkyBVSv9W8uc5sPe+4GuxUBnXbf4BP5WH1jutnVjaAJ0AP5i4T7rlbr2H3EMHPAneNFDoqCssFQGLkDncVPgTXjxcbjjbPjDUbC6P8wvgeS+vCTNSJ7fvxDvhEVOdN/nj9aHh2DrRVD1T5nPBDMGiz71oGrVzHVyJ3HCp4dEPDG/5o+E3g3g+rrwDIrnmVth/oNu3hbhJWOYA4wHzjaGLiKsCRLi8nG52+uDTgzi7nKC9Q8HGsMeIvyQ4JNwZABXV/QScpnke1GJalSLbSXLOEjIXiTgOGqG0MJ5D8DiRdCt2CtsIHvp8wNX5NIU+A97/ReUP8piEYpD0zyEY3lqOA6kAnT8KCjceuVJNE3wsgj51YA8ZlkN8tYqWu1cg8bHNQbZAPLHqMaVBNdlaCKGjOQrCYtU22UJejlpvxsVe+FPr26hwVpDvbiSykUaYN7IRfxXw3HQ9n24fhs8f1me9NkdZCNIzQJ57zTUir8etej3BNnbHq/di+GlK0FuAHkertvudj1IbS9elhL3dG8+CWSlV97wyueo29eJqPXvIZDZaIHfeTD3mUzX/KZb4ozP8nxrLFmnglwiUZfom3WNn9ApLrFpEeI0dudPb7B2XQafv466W5+ceC56GeBXuOOHtMFJB+P4EdstU8bNzKibtbwF8hpI9XwYEWQP3WAajw/fjbJjcSaftCyOLoC467IgYp6c+ebMp/0bi+taK/uAbIqCX9N47kOQGwt4/3H4cr66t3WbrYkI4rGugLQEWQtPts9MmlDUGFrtUF7fJs51h5pNd+/aVcZ/C60D9gjrYFhkW1xXBYgLXw1qvntzSyuqBVf9kO1Zvw8NIE+A9M0Ov23Sg8PRGkvLrAPAdaRlQnSe64NXojFwl8L5L+UnGDebnpo5MF77qTOdXh8I8myhtLR/t9damPNkqqAkj6I1YxpiFQ5NxeOv62Tj8nIY9Yc27oQPP+Jz/VVOPtVRkyDt+nRyT8dwhI1CeMEOVkvx1B51y7wFhwLckeE3WuI6TZomoQep58ck3efANety+58n3+EHuIHUsTbwe0EqFdDOKSBzwtZqOPPJKS+ET/NW70KfL+Hj+/xpK10j6hRAv2Q5yHHh8s1+teGGXzRldD6Fov1JfAFyIBoYfKnH92qAzIDPXwm7GKA3OMd3gME/ZcLX4Bv9v9gSdFqJ/Ty44nO493x3wcQNx6nglJ5MoP0WOPowNLX6FailZJYeMq/dFuRapnxywcvaTy7Ysx+y/FZaoYWObcsKKNwtixMW8ZECHTfAojkgq0HutPBpG2vlzte/UAGi4Ti47nsVgOPB76nwtXhDY21/PTDdS1Jh2nwPgM580O3jdEHJG7zx0XwHRxOvipjC1lU/z0pxU1r/Vu5gvRPkIJAXLWVH6CVyHOGKFuHxETDyJOpuqCvGoZm/hWudyQJjYzTtbT8f2uoN8rD+/2sGqJkw8nvoENjBPm58gmbH2gCydzDt22phOqKB5T3CGWNhi2EAFoDjrPGf7PL5E9G6R6PivqFmSSLyS+p3dhnULlsBs/5jCZdfoq4rf3E+sF/yvrNL1+idIAtAHgcZiLqbVQ0DfyDHgCzI/owbYcPftULHL1tA9s38rf4LCatgGU4GCzSfjgsllTcX8PwP7Wgykluj5vNMuGyFp49BTiu87XjtGeXldubJ9h+AtE29c9cdK6zPfCxPv9M9Xnzjzx6BWqG6oOUmxhBBqZz0O+KEEZ4D2GN1ibDTGCYBlwD/TP31pgXqr35blTAD3BJVmGvUhD0rw01HQJ1OIrzpQ/MnArMBkgMNjeFBoAcwyIc+bK548YkIxcbwMtAPuMX/9m2DOIuNYS7wnDGcBgwQ4Xu/+05cXgLVg3g/9RLhM2O4AnjBGE4V4VunZ42hHXAf0FuE54yp8W6cgr0zL6fg+bU7oDQpGcShQE+g2TY4aFYiSPzhYiuhwslosomXge+NYSIwEfhcBDGG3eGQw5yD3xdOF6FJOnTGxCVYt8TFOvDjdj/XChFKjeEd4ELg8dRf924IN5PK4zcDF9YV4afcrbvDa+FB3Q9OhW/GG/NlA11Lo08soPtUi8lJY+8EfRrC8hpQ+9PCe4jXnlF+Lqe1qOYRQLvU72seCeuBO9AEJRWA7nhfV/1cX36nezRXsAm9RBDgCWN4F/gvMNMYuokwz4/28wQqSmm1/AS1ZZGIm2Ol8E1oCNtM0UDlgb3C9zlNx2ePb/zqFy1Md6rN9wdYVoEjfyt8AnIk6otbNeR+i0AmgMwBqRNcP4Vp8ILSAKIpaT/Bxu0GTaV/E1obon7i+/JqeTrqDei8I43vdzjFJyXhwaAutndYuFgEMhZkHsx/E5p5Dn5PrG2jxclVuUC6urA8TR0LA793jheUQ+Gr1XDFaj/XCpCuIBkuwprkKJ2/ReDCEvdtF9VSl7rhW4PYI+K4dmbn+WHrd+Vxx/32lsDFyfJa37M7vV8ukfZ0v+oHmPnvqHG7q94gh2icZjh7rLW/XWadOUdQQChKQXBEj/iiWnDOszDix/LoR8yvrnvXnRb1Yh3kIRHNTrQdZE+H34eCvBIsn8TL3xzNAjcogn4NyADLhH1xHHkpKF60xv44yDMkZeADqQbyPMh0kAMzeSe+B6ls8GmgesNl0Gqj/s0uODng69QkOnwN/3sk34KfqGugBMDTWYUntO7VOhjV2G4dANkXjesc5PdaYbW9JV1RAqdOKjQWM3jhKXedsGh43km5MnCFf30U1VIlZocP47JnxP32FvN0ygtRxyI7jyF5/nc7Hi1APTRKuHa1G6QiWgd0PXz4D+gScu1POQRNgjYL5JjQxx81ASwk7E0EWb18DGj/P+gxO2rtdpD+vmgMybwsv++OFvhsHjU/hcc3nT+GEaVw3OHRwCEN0Liev/mtfdEx5r8YBhxAugfIRyBjrM+HgnwG8ggOGXkSNLu2VJMTxOsgFaRywFJsLADZzxKk7oCvVsK1m6Dfci/4QGOhxP/xOwtPIFUswaizPc4umQJXr4FZDwVHH3kbpHXqd5OHQd80S1jH4jjMkUQfyXuCXcxcNEoEZ+VKx2k+0mwPkB/8Xht39Tsxr/oXQ8+5zglcnM4bfZeC7OXX+conXjhYFUfSPWr8lsc7k5b3nAcyEy29cHjimbbvwdD1YdHbUg72UgFOhsOhdcPiuciJYiFgD5AfwmcGfzYumNgVLt6RWoNIfBNc3MMRqOXpCpBHczxzMSxeAqc9GYcFM1i+SU71fN73Xi0C/sEjB1jalykgB/nb9pUnaTKQfAPVi2rBdZt1XvguEBzpmPWJAAAgAElEQVRobYb3oLWSBuOQJCHtvY9BGkTNR8HyRPJG13EafPUtyMFpeCizSP3TEsC/QF0e62XDI2qFEZAD/IXXOdseyP0gT2a+E2bGT+kDkpTVT6qCrIT/tshX6A0nEUdyH/Gp/WRPv8E7YcwZPtLsKJDFYY9tV7nRxBCTnH934t8By2DpBui9Idv8DFu4Ql3tV4O0iBq35el2mKs/qfIosVdEITwl0bYWfDE9m1u3731GTRhr4AbkFzeHH//69GfjstfQD5Uwi7gmYDnsz0HVOEBTFw/IjYuB2+Og2QyWb+xSPXfYEp0LjFQEuREtAnu6j+0eA7KwwDYeCMJSYbV9jzV3R3p45x2QplHzUXC84D3u0Vp/G6QJUjc6CVIWzq8ODt6UOKaLQZaD7JX6Xtk8HCMJpdXCwNZbkJpowdzdrc8jQAqqvQYtPrTX3F88PRh+cKoTFlXW0uRse02f0wO3f2cAi3dejWJsu8KNljhxdKPM7m583ov256szJuR6N+AxnYTGyjQprJ34WNWC5wM3JSKid43X4unhKYciJ0xi4PIDyB7h9eePi5szY42MgHmks0rf/rv/oH6ljfLDRTwC8/3jm/hocNNodB6alv5qPw4hIGeCTC2wjUstHFX0cZyVQO4CWYwmkFgJ8keX704CaRU1HwXHA4XGqkmFNEFqoSVIHZP0jIAsDxpetE5XCTapq+Hc6ZkKjKECzXwTPGxw8xGaIOgA1E3kzwWOfZnD2Jf5C3fZQa9JSZzWrVThqf0HsGCyz/QaAnJPFGPbFW5LqbKRtBjSTBraxSA6na9G/qxrygAn3g+cF0HOBlkL9/81HwEoDoJCuHzgpkRE9Ge/sNPUR5yqPOX6AdjD+hvCtX6tPyktnVI0zl0D7zcNKyWslap4GBw5TOTDN3xuezfgaOAzh9+rAafDSWfEOyV0YZfi4cA/Oqd6rhHpOEV4wxhORdNTn2YM3UXYXECT+6G5aAu5Flt/DwGWF9gWxrA3MAGoCJwqwncW779oDGeIsD1HE1uBokLhiO9VWMpYEX4BZgAzjOEa4BQ0RfHrxrANmAjLvoMnahkz793CU187wVujJvAY8KAI0zPf21oDbiQ1TfiNQLMaZU+klm3wI0X39Pdg/L+g0p6wcz2M+wm25N8cRavhhtqJcZQCNwDVVhfQaMZVlupc8dF7cvQp521TlZ8OV28w5slafuyZ2n6X3vCzGDNvXBzSs5e3SwQxhk/REiWv2T/jlEbfKWX4exOAf8CPT0V1VhDhXWNeHgVLXoS3KybNhQbGVM84sxlDZaA6um9Uh3Nu97MMR/wvN+nfg01V7u4KOU191FJtQmqUEnyO2cje34y7of+WQrUHcZC4Lfydh1Zg9sHikG6S/vcFJAVzoxkGTwO5AeQDkG0g78Pln8UBFwHhdx+QybDgXWi21X6c7aZEDacFa2WQ+0C+AsmreLHljjoDrvq2wGQqf7BwdF7hfHjLWWja7XtICgK3NKRPgDydi/9RN8KCC0bH9Q4wy2EFkIbwyX/9TDrgDG+P2SAf4hDs7+zy1ncdyFB4sj10XeYfnEW1oPvXfmqbw3Y9TIzjtCdh1C/6NypXYye6X/gqGleXJe4uu8vUb80yECyd5HaQUfnxWTZ33GjPTc79X73WOkctB9kAssO614MsA/kMhm0K08IR9a207Plt9vi16M/B1hpd/JuKedKBSzFIIIO06aumTowRVtrbIWuh04f5JYuIx0IN8h5p2ajya8duPL3WwOIFaFD+qyCb0ZpP/7CEtqpxwkUAuD0CdRG7E6Sipo9unyZ4DxVYNMcP4dVHuDui/t3dvfho+5tMRSpYi+nwwvlw8E/wzrUO/ZRl4LshBzx/B7FtY1e4g56Dzpvk5fNAjvYH3rKYUantHY5OH4L8S2tR+beZB3E4sB/7ZStCylK1HuQP0fGpk4vN8K0g36EKuYUgb4A8BDISpKsKxekHpMtWwKQr0Kxbo6DPl1Ef5HaVG17tB4NW5BPbky2DqD3vdy8O66zgzH9dZ4Mch8Z77Y9N9tY4CArh88Hnr0HXj53CQeJy9oOXrtSaU8GXtImcKIlByyICKrJq09fDILcnfW4P8nr+7UVTgyjRb5dZWs/isIJ88LVNp4VhjID8B83As3/ccBEgrzRD6yldnn2csx/VA1+byXEKIgU5BpZ8Bf02u13Y/N4crDbe8IcPsxVylYPQDHztsjwzCmRs1HQJluZlvNlnCfT+IrjU18n3gG9AVqAp0W/wIkilzqUznkrKVuqYec15s25xLMgATUlvB2d+2uHgij4nj73bxzD/9dTvg1lLLMEk9Nooif6zz2+Q6mjCkgtAeoPcCjJOU9LbvTd4Jcj/gYyF3ouDoNVv7Q5ak5/K+90/gS/nYiVkiZr/csOdvvYM2gGfPh4W/OHygfwRjX0rckfPy+bB0NVRnH9AxoDcEkpfURMmadBzQeqH0M9fQNaQlL0JLbC5GWTfqPHgfhzBSPrZNDJRjzl8HEs/1J20Se5njztcK5nHz+oGZ07wslH4fVC03v/Rw/N7QI/P8oGBX4upykkOvw/iNxJEDtIS5GV/28ya4KECSCM0mcdKkPneBSlNSw5yjqW0yCFAlR2+LnwV5jyFWi2eglZvxd3yZDP2qjrm284Ovv6TvO9mXQuON/Pbv8pL8PqucIeJR9T1ehJ88nAYWewKPT9lKk9bHAvyIshUQgw/CYcP5EaQ+zw8X8U6Tzsq2QOEdRJZlKe+9hU1YZIGPYMQ6q+AvAnSP/P7+a+ry0d8rAbZxxFUbINTu2dOiHrM4eFWdkNjhhaC1I2SHv6Mx5swFIDl6WMQyfHMXiAd0LilTc4aZjeaQWmFWkEyMvCBXA7ySNQ08Z/GmZYKVHO/yP9+ch86kgSpu9MEqaOy0C0lLXlCgHqind2BSoVs6WrtHV+DXI+VGcxv5VJYbikgY6DfkiDXEh3LVV/D5fOj3OsSPDu4BDp/5AaO8pI2eVe4w85eBu3+AoMCKbWSnf/88ZKx1rwbrL3n1Kjp5w9u2kyBEdvhn8084uJZkB7hwy3LsYr2Bt5X1ERKGvQUkLMC7qM5GruyWyajXFFSnhbbYN1I7EzS8cWFzzxiJYaQ10irLRMFPfwZk9OB45xn3fNAvjFPRbWgzyINiD/jqVS/dzkQjVN4HWQLyCuWcPOHwjWDcj2aXr9KKiztp2qMY/wVJN5wbIerBkegJSB8SxOf6M/9ocM6VJyWJkiNThakcEhLDk911Fi3lNiIr2HWQ6iF8XWQi+zG6P/hKHiXZJADYMRO+7Wk1yIKLE4cR8ECTWzjyjrpXnjftdzHo6FLuArBOCsgvY1DLlalj1wWNSz5wV/4GoHGW78UMt73QmMlfd3vHPuLmlBJA38D5PwA268I8jlIy8zfyt+kDRLmxMbTa5HGOs1zrDK+K92kJYaICz38oWf6YthnIyxdC9La/p3jDocbfobW7+V7+HAOCp56C8h0kE0gT4G0w8afupADEOoGMg5kgv4fv0Ojf/TN6kr3DVkSL4QPa4og9a21Jt9gwTnG/diuXABSJ+rxBIOjTku1TmBZBr6ygusDi605MxnkymRBym2MVNzWKRUWZRNIBffv/C4YBUuTMvxe8DF0/yU8S1B8FZDexyJHonH891PO4qD8WCMsQWaz3b4eIM5PB5kRWn9REypp4IEWrwTpiabVzsiGVh4nrf1hsOsyn/3iq1i4uD/q8QaHw7IDR5vJsHQ9aYkhCqNHfA7ndgcOkIYgS0AeIyUGsKgWNJ8E131fyOHEeRHutwTkfGwyGfk7ZtkDdekaHbdDo0/jMyCnWskabNavZtNhaAn0mBvHQ2aSIFUG8xdKq0TioPK4NheGk6Ja0GVl6joyWKBlsTVnq4C0tpQCliD17vVu07JDm/fihE+QC0Heihrvv9XbRuhunLqPLRRougUunh549rJdbI22BIhyEweFZqFu47yfeFsjUO+dUOKPrP76g/w/e+cdLUWRNfBfg4AKD3MAdUExJzCsAqKiImtAQYKSk0gGCaIiYdkV067rmsO67mfABArmiGAAxIgBUZEHD5QcJEtQ7/fH7efMm+me6Z7p7up5UOf0gTczXXXr1q2qm+9DUY0XxyK5gTe7iOvfgRYiSPovIi6uFUATWV9iWdWbaGG2A2vCwYdCr/Eij5UENwabLQuARkH1GZfmUKQRGLgYJkzOpfBl+nosC6AoZ3DNpZhhiWVxEvBP4EvLoitU/xVOfw1OLYJKwCMd4GbH4oHZm1vhvCU/ivB6LvPw00TYYlm0AD6GY9eZL+KXf7MLAp8GtLGfzbBlLWw6pOz8vgUOPBX+VhmqHgCb6roVgTTVRPjdstiEFmKuD9RA5/SOZbEGGA+/bCy0szm/dvxYeOCgsgU4bwTOnZW0bhOBiZbF7sAF8MIdcH8tp6KdllV9ZKJQ8PKlcMQRMcNnfbQoc+xbtqLLwRdlDrc534EtL4MHd0/QxzHAC0Vw/gKRGSEXgJUbYXQ7+HsF00Wcg2girLMsLgNGAZ9YFq1F+Mg0XACWRWWgHtAg6akKzITNa9Lvk5zOiIlAS2B8ACB7afWAzyIaK1aWp0cJOMAsoVXptwAGLHB3ZYi31cAj/k4AWQqya4B9VrS1Dr+C7Gl6jsHiq3xpuQJY64tg3jLotK3sPhgquRbujAuOQU6CkVviAEuO8NsWJrkdTYzwLcjf7T3v4pLYdGPc52tbUeaQUp/Otkg1ArkbipfD1VsL+Wz2hxP/ljb3d9rPdnDX3QyXBVrsN08aeIcQ3fWDgzNb0dfC4yGcz+cRDnQkoVomE3xaj9nQaxnUm1TeXDIJMQ7Ki8tuwqokt4NMQ2ODvgB5EKQLyJHYXllB0TLI/rZ1PDCeNMt4n4A0jGxNTRNV0sQfBOkTLEF5JwD9/eDFQbm4hF2nwwWHr4D0DrC/Y9EYoCdBrjFNI8HiasdyB/KGk3MmODPcY3LCS5wYCi2eN1TiAIszntIy5SULTCWpApN7H3+kzp0Rd/rGTkue5TcV4PE2mnTkhq1w3c8w43aQo0zDHw5Ocqlv5vbOpVudPz9tUhxihmzl3HqQfUzjPfd1GVgCchd0/zzuyor0ObWfmX4+jJEo5xGnOyJ8fCfHQR17RBD8oTP+Os2Dh5uDXI269y5Ei2K/AjIC5Fw812zK74xAE8E1iwC3u4BsyjavQMc0TVBJk78TZHBw/eVUZPM1kIvyH9vMgYDGDxSD7BJQf53szXeqvQED6TcOT1ysInF63AXKETnjJXEIt3kPRhnL2qhCR4nA8HWafjUeWk3ns6LvzzDvx2wCU+Z+40nfCXro/hXcsAGan+BjDSugQcF3gywB+RJkZHkSpHK5O9zfaTo9rgK0wnzRyzB8U1z2YmZ43c7GHrNBBsOAhc7fD1piM7Hn4pIp0ZCitSmM/CX9jJgj0HZ9fpnWvM8nrudUiHjfA2a/BQN/CYI/dMffdWtwsCoZmO9AIigNAnIMyLxI52aamJImfyvI8OD6czvsus7CJVA9OOHpnPGmDgQ0OLFdQH3dCTIsqd82pukkODwV1VYNTfnXeHnHidtB3GR9EHhBi1On1V4Kd41LL/Ehi+G9v6FW1KdNXSbecX7Ry/nAGEeNbrAp8P8QpO5JEaQiqfERPp78aX2dE8LEkzGNI21mhzkzLt2/7/wRamH9AHVhWgryFsi/QLrCA82gU3F0Ge3EQgPrl2n9NMd1aJR7llO/Hj87ngcINAxsX8YdfyCHoFavUBXvaI3I5yOdm2nkJk1+DMjfguvP7TAbtsI+xJ7Xw0v2T4LBUXjKpkkB2QctzHmXXuIjfzVF0CAX2YxE3swhmp3wPPv/rUBmmKaTYHF1exO1RJQv/+rc8eF08bVdD0WNgulf3gc519xcOpXWPvoIZJRpfCuc4V1+cUvpHBYzj7p/nZUiSI0oD4JU/usfPyElrkKdf1y2L9H4nJZT9N/2JZlwbQsufwK5GOR6VeRc93NUuECLvz8A8kea/+BroflbW/ffN51kes3Do6XgzvxC2EtoLFKo9z5qfIn0TjeOWJ14UW3oPgv6Lwzqks90caCBbF3QKshrQT6EGf+EEZug25fJMLinBH+pV0JYknW24HUtyGlwxpMGLU8WyFdOQqDPfiqg/uh72X9XRKs3F3Tl7JQ5tgLZIWpYecdJeAw3yMMEGNeYeayMtY9qoHWFjFtSC+HyC26u4WtJUwSppWhQ9A4rSMVNgI6KDsLD5bWrodMnGjfWIkVYalGin/uxGEaDC5C90eQcr4JUj8vaOvNXvVbaZUMuM+HSGD4dBXfmw1/PTC8ibiqu2HmtQIaD3Bvu2PI6yKWRztc8IYWnHfNycYBUhmc6QN+1ZWG4cgm0qwsXvOhM6IMXJ4SlsiZJ0xo/kPbw7Uf5HDpocGNxymeDQZ42TTMB4mkEyK2m4dhRHpBrQO6MZqzMlzjISSArQU4xi5O6R8bl8gt/ro2eijYY/Q9B6t6dglR8nkJUGCR4iRHb4Lzn1NKU/xzCs8YmM7IXvAg/zEddBX0Vfw9ubc9+JjusZWoQngbzFqXzZYV/NgbsvvwyTL/NtIIki7HiKLQguudC2DngYQlIrUjnbJ6QzB+k7jCMEa3yLg5PZs2QEs2wldD506gJGmrVgUHb8wv6lPYgE1I+2wNkDcjBpukmGDzJEyBdTcOxozwgl4C8Hs1YroG0P4N0A6mCFhv9EaSGQZx0gjkfmL78opnrtJthwCYTzJAtSJ2dIkjdAHKEabzsaI8zozVoO3w5CWRf0/B5g7fjFk1AI774Ao+42Aaf/CdXZtO5z57LI0hYVQE+fwyu3lJ27H7rVBCSs/3119hY7Hg0NDX4p1RPJ5/4vgTN3lfZ/HxOc1Um6Fz7rIMmq+GSZfrbQD1a9gf5mYjjmGNAROZN+O4wXP4+tJ+W6wYGmQlSP3qc5i+Q2lqq6x0+v5NyYq0B+ZRy5IYY9wfN+jM/mrHcNGHPdgR5w9ZU3QByB8jHILsZwIcF8jnIxabXJoK5HgiyCm46x7SgmCJILQOZtVOQinoNUq0NjY+x9+IyNPg7FgldFFa3+3Skw2cD5vvVgKfjol1dNMHEM2qZ9udBYkIhjaaKflThbn6CgyWpGWp9+LfXszYOvGG4dCWv4DONd4JWWr8LwzfAsx3DgM0/TK03u6zVbHVnHSzp8YLBnP0g54O8G/m8zSM+zpan0o3vpBmatwzkIVv6391lUQ0JT/kfOiBTQc53+PwwZYKkqmnayQ9HYoFsANnDNCw7yoMGLG8hsqJ57m67aPrv/7M1VmILUNFqrjRb3PeE6M4QlwfkEZB/mobDAa6KII1B7ksSpIaDHG4ath3xQWubzQZ5mZh4OLjfp602p8dCz7wTZDVan23vXGN2QHaFr1+DgZvTFUCZ+4ha6ACpDDIBzSLoyhegibWets+8rHyRGSEwmhirhOWpu2fLk+lwkMzrNFKc1+rSre7fBbOOaDjAXZHP2yTS40IQ2WBw8ck9EmSILWSst7UIvUEOSVpUQ8JTs1fzIVY0WcRaXIoXgkwiosD/8HAkh4AsMQ3HjvagbgbHm4YjCZ4aqJW1dK80THwX7kWKZvzsaxoHEeD4VNRVLtaKCgdB6vOdgpSRdagM8lc0JrG3aeWCOxPvXGzYPlMehOLV0HtVrrxNromnohQ6QHZDk1C86FUpBtLG3l8341I2Rn9XVBv651Vzyt9couFFvYxjn0V7gdRCFX1nQOt3TBsanOfTcoq6sKYWoe+wWYu15xb64oMGnwDpHvm8TSK9LDFdtwY6fmw24C3X2gayJ0hbkHG21mkWyI0gvyczY9HMQ06G4pXQY2nuh7YcAVKS4fuz4IdirVdQmFlwUFNvuTD/F9JjX7KtTMPhANfhSQf7h/BKnzAvUpBDUQtuNdNzDxmvFsh0kCtNw+IT7lJB6v6dgpSxNTjOVkC+p8pKM5nXcmWq4cKX8nD5rwRXzcmF6dQ6TamFbjts1iQXgcaaVAOZAvIUSCWf7x4A8gKaGfgkl99U0Kx7TX1lMMx9PtEIne7jXL8OdSffCPIr6hWxEORrPUOvWR2mEJL/fEokkSdgpCi9ZbJKBWZ5+goDiZ+MIdwBAT8Tw2DRHOaxC+qOc1sSsTyC1oEKlVFSwUmWgzTPUxi8ggwFx7Tv1KDQVM1JvFOMopWv7zMNx472gPwD5AbTcLjAdrKt/Bir9eBCPfD/BfIP03OOAKftQT4j5CxfIc+hIsg5KYLU9SB1TMNW3h8b94OgeE0+Vpz84SiqrYzhyF/DTEMOsitIH5AFMHSp3zMoIejNsRnZEQKXCEwLFGeowngGWn4ip71tK1Y6gawAGZUqgKEZUb+PjtZc3TOnBsnPuI/T/kOQmrZQmuZCHocQl8w055Rpr6h2mDFPaOKnX4goFKDM2CaRnoSAIpDNTgRTyA+qNetgM+pvozE2b6AVvmsFPNYfglMAff0DZIT799mqrUeRfj73Q0z76Ps99J4bR8GuPD8gPUAeMw1HBvhagSyCK6aFpeWzz7vVIH8KZw7xUFyAVEWzGZ5hel0DnFOyILXcFgx3ClKh471pIKnB81x7AXnH+++9M7v2XhmCJlV4BaRBLvdo5szBweAMZD/Uu+bOXHm2smdUk+dhzntoMdVjk8a5lpDrA3nD3cAN+Xjy5EMX6TiLX8xT2fUcuhIufzddkV5vEjReBs0CzbZnC9izjczZNNJtBBwbpYYhmjmlpyoHqQ7SGs1KswI1x94M0jBX7Y2Nv8AEJ7u/d0AucP8+Ww2dMGtX5Hd4xPkA2hEe1Co70zQcWWAcpXs3WBpOXDC958LAQDRvzmPEg75B/g7ylOn1DHF+pYLUAzsFqbBxbTbzWsLy1L8kyAB/1IIz0uYHxoPUS+/DuweJO55GB4Iz1DIyB2RsfoKTE16m3ACyEj64SeO9rlmTyoiHv8ZOcP1lepB3QT5ndD4eRdHgUO4GGRTheF1BnjQyV9PIthHwF5C3TcMR3Hw8BwQ2ALkJ9dlcCfIYGkzpuQJ4CIKThbpQ7u/+m2yWp3AuumBSsMfT9L2jPBiqyeATRgu+ehH6bwhO2xhVMHI86BukNmpdOyTKcQ3SzC4g56YIUteBHGYatvLwmKTrYJjd69ZD8zeSkkrsZytOV9v3/tHh4inZ8nTapNz6ltog83AoYRIMjK0mw/Nds4UEhL/Wfb6HXt8nlN7B8zNxF4Jyn5cMAbkzwvH+DXKtkbmaRraNgKtA/mcajoDmYsHFr/j3VZZaIP1AXkfd+yaDDErVYpY1dzd7VZNDBCM42XAcBvJj5t84XSadihMXQ1iWJ7dDrG8xyFH59VE+akfE/fEinMfhAdkNvv8C+s+D4b/k7+ceVTCyG30PXgZyJQ6ugmG4+aFa9NGm19EQ7SQLUivQenI7Bam8cGrOohpQ3cS7QYaBHGQzfGts+jg0fDwNFg3mL/1/C99Wb5CjQBaB9M8fRrczatgaGL7OtPIHzSbcKvF3PBRShfCghedfiHC8KSB/MTHXXYhHOwRYZBqIXJtlsQtwBtBCnxMPgKopv6oKHFjTrQ8RFgL3AfdZFtWAJkAz4HrL4mfgZRj3KbS4GR6oo/1tAgYtg2e/hPVBTecU4LNMPxBZX2JZ1ZtA8Vid05/qwKAPRB4v0V80fQhGtYUbKybg7F0Ms0fmB9rmDdpXMm43AfIrMNWyWA08DzwHfCOCpPexdIlzH8uW5AfbzualiSCWxffAUcAK0/C4NRF+sawjL4J7FgK7iNAxvx5r1PR7JuTW3Oh75QLgPOAWy2ItMFmfK+ZB84nwYNKZ0ru+ZVVvIrK+xM/IllW9Nhw/Fo48Fg46Et4fDR8EMqtCaiL8CkwBplgWA4CzgTbATMtiETAemCDCAoNgFlTTO+cfveDmF+Hbj/W8nj3SL43m1gLZu0uAfwDDgUeBE0RYHAx8qW3219CsGlQDVvwGp9eE/wEVgKuBfWvB+WPB25lmWZwIvAGMEOH/8odv3RrnM2raazauzyn7+6pArUPzH9dzq4Gul91mj4Te9cuekaN+hQsfjhCmQmklQO0oBrIsLKAe8EUU46U105KqLT0+SoxT2TppZkF2B2mOFtpcibppjAI5IUhNBVpz6c8gf4NrV4etAQG5xa/GGGRP+GEhtH1fM9MMWwEP3aPm72CSMqglYO4c6LnCSfto4+kMtEr9IrQQ380gp5DkIqa/9V94cOcTFH0V1Yb+xdDz20JwV0DTVQsu6XS99xOV5amoNly52I2+7X1SF2SoWrlHbQsCrjjFWsX1sS1S54E8aFukPkGD4g8t+7t4JPyI2wMyAOSR6MfNfe+CHAPyeNK7+4UHp9MevGKbs5UnU8a/ZPq75DUoXgFyRUBrWAW++xR6r3a+x91wPXILSPco9obNP9Qu+1mqm92UG+zf7SxdUBZ3e4OsjWisQ0CWGZuraWTbSJgCcr5pOJxhczqQBmyE+evRxAoDSHGFCYuRiMLlDK0SfrF/HHX/MX2+s98goJo+IP8FecqLrzDqGvZnkFtRH+0FaMX3Brq552+As54ub/7GcX8KkcEGqWTvs0UgNQph7vDeX6HvXC/0Da3eDeJM2ena4puuSgWph8oKUqMaFdoeiRBnL4G0jX7cXLLeyUkgz6HxbyOg5Qlww0ZoPzM8pt9pD/qrseM81x5LAnLltex7fCLsc6hzgWE3XN91AXw/GwZsCnNv2MqlrWQo3pv02147BSjHNV4PsmcEYzUDedPYXE0j20bCD3iMWYkeNjemoPH4zO8FHxAYNoNiE/4qkAODgWvYKpD6AcDVDc3w47tOlj2numjmr+Sig2dRwLVnCvFRgbXwGGyQbWh2qZnkUU8icSZcNSesbHs2vA/iMTYhqDNlZyxhXuu1C0gTFaRG/lKIeyQCHFUCWUeIlpvM43u7z9HMua+iKccHg1SNLlmM0x4sES2Q623sMHkMVM9qCZcAACAASURBVNH8VbZ73A3X0OipCDxv9gNZ7eP3OwWodJx8RUrWyJDGGYHBWonGY55sv8VDgB9Nw+Lc3Pyd99o301u2L3aecRKpzcn3NohYoj/an4BtIizz95objipVg/z8um1/638AZ4uw0e/7Igjwpf2Mtiw+RX2a7wYOtCxeQOOk3hVhez6w7mzpzbLYHbgIaANntYom7ifw9gvwL+Bw4BHLoqNNV75a6ZlgWdQGZsJdCwOFMtGOReNqPDSnM6XPfP9nilusVY2DLIs9RVjrr78dp4nGSE0GJlvWt0dC1cZlfxF5zEcc2+lAsQgrTQye6T63eZhzgZFovMdtQCsRtuj3xz+U2F+g/z5YR2OGg+QRnPbgvsA3b8L5m/SczRYr5naXn3CKZXEaMCeXe9iyOA8YATTI9r47rvc/MIL7oyZl4p0yNxEesixA4xvPFWFegLAUaitB90HYsUj1gBdCHsO1GReegP2AjSJsNg2Ic3MLbow+wUB6oobAg2azJotwbm6MU6VK4FcQSzTLojqa/GGQCHNy7Sepv4pALeAUERZZFocDrYCbgMMsi5fs8d4RYWu+40XREkH6NWrqOkQVRJ0JpmSBiQuAj4EJML0CbGodh73ks20GdgO6Ae8DN6A0k1MTocSy+AU4Gvg2EAjtZjNyxwHfeIMl9Uw55FC4ekoi+YvX5iSE9V0Agz4G5lgWw4CnchE6C6nlvx+XLHY+S49uaFml+4gJIvjoM5hm+Kw5H3g7orE8NXuvNUOFgj2BW1AaT1HCuQkk+wUsELspV4sHe18nt7u8ShXgIeAoy2IpMBv4OunfuanzTtDLoXXgsHpwTDeR9gtyn18kyZ5qAEv9vJAQoIrfs6x+n0DV6nG5iw21EqJJGlEXGBPBOM4tBia+U0FmmYbDBbYKMGeae3Bj+QrstV2Txvh/z8ktocsCKF6RBywWyASQBwKcXwOQr1y+q2W7WUxDU2mPA2kBspvpdfGH9/DiIzLRO5pApTXIs7Z7zdtoCYL9TMEbIN0UY5cMQItE/gjSMs8+/w+kTwiwHmi73uZYwFL2AVkC0ih3+kh1t5HTQWahMaJHlbdzs+z8wyji3WOpJuQRQdOer9Q0+t0+g3YzosCh6b0LMgOkiek1tmGpCHIFyJcgX6C1GV1dwN1d4ZqsD951r3RvtX4XRmyGO5oGuc62i+nR9ln/N5DnQeaC/GK7az0JMhwmdocuJUHSi8LmnDAqwLXtDvJoHGErlIcIaj2pO6xsBtnF2DxjgOjLQF40DYcLbNeBvA+16qQyBc6HTIsSOG1SoTIFaI2pS3N7N5Vxerg5yKd5wHK1zSjkHGPi0OdYkFs8/K4mWnNrii0IjAe5PNlXOw4MYJRB+u61vV7p4yAw7eudTuK/R0C+Bjkh6e9TlIHNPQMfSBeQZ0OA9TyQ9/Ps4zKbIdo9QLh2ARkExWugz5ryyGRAw4Dix3qcAqO2pmR3rQTSG2QpfP1KOqPWaxUMPyO8uZksUit7oLUPA7sLcoSjEkhXNJPrhyAXe1FS6Pq1XV92vYYKzAkVfyDXgGSMzXaH198ZDbIbyMn2ufZPGLI4DHqBzx6Drp+GdX+gcTQ3+39vZ8KcJByGXusJpD7IZ0bnGQNEXw1yr2k4HOA6Hc2Uk1ZUUr9P3SwlogXoCpMpQC09K0AOCqi/nIVi1EK0nMALCMoX+NSoowGkV4G8gWaReQHeGASd55te6yiD9N0vhyFLsglMhf6AfARyespnbUAW4jO5StL7tW0az8lClKHfAQRgrQV5CuSO4HHZ5PnyyGSo0HrdBuf92HKqz76agbzl8l016PFlhnTOH6Fp6GsFOz9zCUFQDwBHfES0truC9AEpQRVq5/rdt9B0OowRGC36b0no+EO188tAjo8eZ+HQC8hUEF/WNJ/93wcyIC7zLcTHFqK/CHmMXiD/MzlPozFP6hPbvhdUqGxZX4yLi4+oZbEHzBsPI7+D7Y9alvqv6relPt8HnFjW9/ZR4EbCDwoNrR0ECD6CJT305ylZRFlf+p9Xw8MNoU4PCaiIpPZ/+r/g9OPg3T6W9dVPXulMNED5YeBhy2Iv4FJ4Yyzcf7D5tY6y4K+b3/6C70Qo78UCNwO7J38gwgTL4ljgBcuisdjB4d5bdWDA7rDwQ8uaPy/As+84NA4h3zYA+NqymCjCtAD6s1v1vQo0aQjgFPfT6lEYOhg4GhbOgk1npu/Ho062LNoC40X43cMwpwMfOX0hwkbLWrPaGYdzPkTjbtoAn1kW89AYqedEi7Dn0YzG/hqJd7KL1fcChgKfA+1E+DCHfiyoUQmuIUr8ibDJsrgdZt9qWT3XRhurFtrddCwe4zlzbDXQAtc+W5R3cdxb+9/g8GMs65spIdKbueK4pc2cdBqP+AfnArhfvQh916W75LUvSXyWWj9htIPWQQpG84AW/H0tOJz2nA19i7PXmXGigz5rgqID7T953TaK/p2P73U8tEzOuBv8K0y/jYDTsO/Ibgkgr+FQ+8y21j6L+vl71kSHcfYlzrFr10LLtwOqyxKC+17h0pH7fnv/7yBV3Nf16fYgH6OW76yuXmitvWb+cXjGk0l9VAJpitbVWYWm2R+KiydFFnh2he9mucX+ho93+Z4IUh8njbcnWvB+BRp3m4977kEgbyr+ui6MGn/Q+Bil0ajHDeOMk31B1vq1+vkcYyZIwzjM1/u48YkfjS4tv8wAOdvoXM0h2e0CuPgVkErmFrrnCrhG0mFLFZZS3fT8FaOL24PWQboxHJyaqSuh/Z82ybn/0yYFT7vRr7Xiu900GLJc4bquIepaMg3ksGDHMa/sMPGgxS5bu3y3O1rg9AZT9BPm2hCw+55dUPunQqQjL+uWIWmGZQuj34B8AHKmC74roAlrXOsZOa/3wM3w7YcgBzv0WQnkLymC1BAvgpQN9xMgz+i4V30N/eZHxaiB/MkWYipEMNZ+IDeDrAZ5DOSYPPtri7rmjgbZxUS8p9lYtWDnC3I2yPSQaWARSE5wJuZ73Xq49PVCFFALgd7sM3IDyF6m5iliVHhy094P3wSyyWZI/oP6Gp9OgNrP7Avd8fd0uJwsSyUCjZfp4VBvUrqFozCYApsgXwG5LDyculU0D9eKA5csc+6/2bLc+3Q6tHqvNrXWIMeAzEv6uwKaOXAlGo8UiKZO5z1sJXT5PA5argjx+zhI5wzfl2bg87R/3Gl+1O8247wYLRz+JaphmwzykjKw8gjIPSC3gfwV5Bro/HFYFxZ5ZN9z73P2mwpz4SQNybxu3s8qNFNbZ5AFqEXzpJTvjwaZn72fVMa0xmFosPsyMiT9cRCkPswkSIFcC/JZ6f2LJgSITEkEciXI08H2maqtH1of5E6QNWiB6bxibUH2Anka5FuQU+NKs3GzWnjAax+Qh0PsvwLIVpAqefbzBsgF4eMjPkrcBExu9DZoCcgNqELhNNSKmGtG2MNBFpqaY+ljMObJzUf03UlAb+BE4GTgVOAq4GjLYgEwC/U/ngV8IcLPpW/7r0NxyJ+cfcd/WgGbDij73e84F6DbOllkYkd7/EbQ5jUoqgg/LofZXeMQw+WxnQL0zb8bt9gYt5iGsH2FN+Dcv+86f3+09No4G36Gh86CB2pA9PVXgLlowd89RFgnGlfxb8viLWAccKll9f4bfDUoV7933Vt1b4Yqe8OCyXGJT4yopcU8pZ81XftCz/9ZFgtEsvliu9H81GeAfvZYVe1/d3f5u/SzA2Evn3vOexNhtWXRD+Y9bllXfgT7HpCPH7tlcQQcdzI8VktiW9vPreV/VonwG/C4ZfEseq+9Zlm8B4yG6tvg0kdg/6qWNTNjDLBLIdGbLIupwFOWxfnAMEmJxROtxfMm8KZl0Qct7no5cINl8QOJGKlFlsXFwNVA/aS1mkcg94Tndj7wVlCd6b5tPrlsLaTR7eCz/8EpJ4j4L+pe9iywfofbjoU6E4CTRfglKNhza240u/cRcPkMuKtGAg+9WlrWSW/6qwsVafNcvy7Htg+wURxqPPrkLdfYfYXc/PJaUTQ3elu9CA30bQUcBtQBLMtiPjg+C0XY5jzGq+fD5AqWtSjMmKrszZyE6te9SyqD1EPz8N+DuiVtsDV4z8OM26HHEi/9gewNcqNmJ3KS3OtNck5D7m5ZiqMJ1YckX9O2UlhlP/enmQLZBfp878/y9H8tw/TJ1rVMzYI4WKBezm57LnO/DGQ+SHVDa+joA6z75qN78sFxIdN2/ngtqg2950DvHzKXKeg4D17th4cMfEHjM3zX16La0H9DEPCC3E8A7sHmaKHbooDjOKqqRrZ4NfRbFxCO90TLK3yJR9cz2yJ1AWrZXIWWHhCQNim/2x9kdTS4bjgORmyD8yfmvjekKsiRIOeAdILus8J3mb1ycVzORmf4Os+HFl+4ZGyM7dmOZto7P8T+TwT52hsOM/Kq95JDxj7/8MbR8uQdV7aF9hQ0c+31qKfZZJuP2koiu+V/E1ar/1yano/ADL0aQXBZROfuE2ubWY9UpPb6Jrs/eqnQJKtBHoZRjdwW2gm2TPDGkZB94LEZyJt+N0FZ4ersZ+CbKTDnPa9pvO3DajlM6ByWL7jC2KJEL4XR9uXQoiSMzQbyEMgThtbwPpBBzt+50WbrKSCHpArN6et7yTLFW0nB0Xb+tOO0B9zi6BqMAxmDxpRkrEkTZDxA2MJtUGcb6qqxJptwGecHPr5fk+EEe1ZB4/HBMvVigfRAlWI93Pa4y7sH2DBst+/KGagb8CF2v+tA9g5m3k4Jm7zcPWLZ9FQXTcLREy3a+gjqNjUbdYHdgha5fg/kKRiwMIHf5Cc3N/FCuPedeRk396rRMYZ/xDYtdRBWEXi5AIeU+P5DEeTvIH+NBi89lqYohn+FvleadMcM4m5DlTmHgTRB05LfBjIBrl0dl/0W6WDhLljyYVAiiZoKjZdBu7plhaaETzP0/7NW4u7yWT6EFpcMbLnBLn8lpTCc+4HRcJx+73TB9V0HRxzuZfOgfquLSdFshjO/JsfC6O1adT28wwTVcn4H0sHAGvYAecwfbV6zGo2R+BkNYr8PLcR5BjQ/IX19h6YIUPGn7fxw6rYH2m932+uoQmc8yDg/DGv+sIYXjB7U2YZmMHvE9LrmjgepgFoWTwi+79Dq4hyDWqDGg+zp4feVQN4B+af9d2WbqfwfCUFKQFrmP2c3Iamei3Ji4AJbCCoG+cU+t2bbwtIjqPDUExWm6uIQVxF8spbCvPfd8TAmVvBH6fWAejU9mu8ao7VL744GP3M+0IRRpef+jdeZyK4YHT24rsWaqAVF48gIDqmlh0GJzeQlE8+Q32DW06QEgtqX4WSQMcGNn7ygzodyWW1bvUmqyTYXtAnyIkirsp9lDGpfpIkDcruEUDfB+SBXRTS/i0CmRjTWSai2N7BMdx7HPQUHlwMvtIlmmTrXPvQfAflYhc1Ml2u8tJPh4NRtDzRZlQWfu4N8CjLc9ByCwUP+DCdaaHQZyHGm55M7HuRMtz0WBxxnwf09qBtMxjTM9u9ew6HUgQpSz3VNKCaHrbDTtKdl+NPfu7t9g1hw3nPOc77MIWGTCFz1Dep+dyRI1dxwUVgus+HRshMeSpVjGwUazI9DIgl3/J4zIVUw9kJ3WWh/BMgtKZ9Z0OUTn5anTkSQVAWkDpqJskris8KkR+9zdrPQj8l7L/uGxTQygkNq6WHgPWU4yHUg74PsEtz4yYdRt0WpC1n2d6npzs1oCUB+Shcs3TZho6dAakHnT50vuMwaK9R1cjbIdRHO7w6QERGONxTV0OZNVz7GrAKyGWQ3b7SZmc6g5VTn9R1tjE6jftz3gFNMZJpb0UH2vmpheh7548GJfgZshBqeFQRo1rTXg4crOvcUkAfCEoij0LCDXGoLsCNchKOeaIa4PbzD2G89FP8MMh1kUKkg5fzbXith1pNovPIadcMShzPm0uVhMoDhu8y22wBNp5sWPLzBftokaLU54Za9UaDzbzDHKE+SgNFNgTViOxrz/iXIRJDbQfrChC651tNCPS8GJP1dBPIMfD8bupZ47RO1fAZSMzMz/fZfCL3mlL13CtMS6n3uT7aFgb+4e8REJygaR0bwROWWmros8aDpz5eTQ9HAzOOXHsrtpsG8xan9l2XISqXlZDij1RKg/u1rcEwW4X6Z56LhAKmGxoPcFi1dyJcg9SMcrwJa6PJvEc/zC5A/Z6dNL8k/3Na38bK4MwXB4dN9DyTwOWQ5dP7IxTX1z6gVsq7puQSDi1L6OeNJmDMNtVJkdU1E41O+ATkvirUJZ/5S2V7LUPpPx3E4e8wW6qfqM+j0hPB52VtQvBLkCPd33c6EUQ5CkNvd1uVjkMYg+7v3d9okTbpQGK5HiXW7dDpcvC0ugkdudNdwQQL+5DUxY7nIxGegiVFOBmmNptR/EIYsyZWnsoWwVvb/j0UVCf8F2S2Bozbvwchf4C7XVOQg9UFmuuO5rLLHjxIoDL6skB6Qq+Hzx216XaPnTEnKfKMRFI0jI3jkeilkKHugftN5+21nWeghIHNICq4tqxlwqh0V3eLbMF4IMtn5u9K6Pp0/TXe78J2BpgrI22jMWYSxILI/WpU8MiuQPW4NVMvrWAwzpDH/D6RnMH3tuBn20vHgztCiAa1fuNE0yBV4yMBXaI/NuMzGJUlJym8vzISj3MaPlklAk+pMM433sjDl7J5UEWb8Mz02InOWOHet9uXvo/FF+6Iu2Z1h6Kpsd1tm5cQnD0GPLwupFlh5YFzjZrnwz2e4wd/q3exjyUyQhiDtUEVJN5ff9SclwVbZ7286B4av95gExTVpWcqYu+neuujlzC7j5fveRmMve+n/ze4348gIHrnZJHOx0AJ2D3jvL3fXEJB/gkyH+kfp++ckuSS4aeeaPB8hMY4kgyXIFgAOyoybzBecXtbyHMgEHNxFQp5fW5AXzdCiXILGGWQN1A5ovIEgDwbXX/ia8EJ/UCtjMchpGX7zN7QYacYMfIX2gNRCk75kLA6MJiDolP94yWfxpcudmaTW74Y016dA+prGeVlc5M4k5eY54Ceu1+23XT5Jvk/czhhb2M4YnxUtrt15AFtg7A5DVsRJ8MhtrvETAP3cQ+7wD18H0jjz2o7YrBmDZR5IPfcxpBL8UAyt33G2IqVmG+6yAC583xmuv/zs/PmwFajifSmaMXKL/v/6Td6UEqX4umY5vH2NaboKjhbkM2wvIuhYT/MZmBEUjSMjHARnSikuXVGNaVpsiHM/+Unxylx9OUljBFLjnJxinnqtgnk/4bE+RwDEOAnkcpfvdkPz7VfIo38LNX2/RZ6Vu9PX14uZWx4GGWiOFuU+kGeIwNoG0gjkI1Nz3VEfNHbSNYsciQx8T0RBBxHP/RRUS3t62c9L92jHj2HEJjjW1R3M2zipZ7FbbOuorWhs0p9LcZ2d+c3KHFdDrdf7RofXbDDlx+TmYmHwcx86/7bHEvhiAuomPs1W9qQp5lBX8si9BbzPudM8eOJykFtsIW8NyLPQYUbcBI9g5jv4Vxift/LDHPwd58ELV4H8aPMie+nv6k2CDptTYjk3QcuM2TT13dQU4d1/gtcHQrfPnWmgvUt83xWbnT/v/BnIcbZgvltibN9p0xuCLPLC78b9UaFVNmMniwG5SWMozSh4jSMkYuQfZV/0x3v7fVD1TRo9VbafEvvyb7YskW0vuQaDdEYtPqHH6aAuRYe7fHc0yA959G2hlrcPQaoFA69vd8EFhJjhywPjtRsa79ElgrUsAtkUB6ZjR3qSmD3HQHv7N6UZ+K43DW8I878EZAl20pkwXEfSz2K3ZDvDGqDW9PkgX2k2OPe6c15gBekA8mp0+PQCk1tCF29WjlzvNn9WAFerUhU0qP5RW/D4IFmQAmmPIW8B73i6djXIWJAzSs/b8uIylb5uT7VDLcxjC+FuyUB31UHug+LlcNVSP8nFvNHEwBIYsMh5XzZe5jLWfH/CUC7Jn2QSSKytT14U4iDHg3xv/38ftHRCLWMwm0ZadIsjVUA+B+nt/Z2g6pvkouWTi9A0lBeGiJN9babPLV7jApC38+j/epCvCaigovbpx3VEDkPN3qFo+70eZGgx4JVuQmrAazoXj8qBnU+geJ9AFrcuEhn4mpuGN4T590MDrPcKw/XH+QwtsZkSRw+DCiDnwAAX5qTdByBt9d+sMbKvEmHttmz4A7Gg3w/5WZ7iwegnCVKPJQlSQkrdQXN07bfGT/l0dUYVRG+jdbZqmoYnv7k0f0PpPbeY80w04b53XTO0eop5yofG0FpvK0H2Mo179/l44qM6gIy3/38TyEMm4d6FHafdCpQAD3l/ZflS2ARUTfpsE7B8k2U1HAc1asLSJTB7pMj6Evd+li5x7mfZErc3RHjNsmgOTLKst26DMad4H89zOwX4XARx+b42ijPfzbLoBVwFnCnCmpygc2z7H1YWj6B/H3xsYuzqteH4sXDCqVDlF3i0FgSCr5R2/Fh4sE4Cnqro38VjgY5JsFwLdX+GopmW9UJ9kbnzgofljzYLOAmYHeIYBd8SNBLUnnr2BZh1j2X90NqtPxEWWxaXAa9ZFiVQfV2wMJhrItxnWRwGTISiXeF24HegAtAVqAUcWDP3EZzO0H2BrZNFJnZ0gOd3YKplLS6BqoeW/bYqcOCRQAv91+k8UVgti/2AM4ArcofdW7MsdgPOh9PPzQQT8HcYuBn6LoD7D9XvNgGjfoO247yMJbK+xLKqN9Gz6sCaehdFT38ibAVeBV61LKoA5wONgOGWxZnAeOB5EVzvynCbv7vbxl8aPRZ6E2G5ZXEBcAPwmWXRRYS3TMOVW6tYWdezAn75Mm2ZaGL2SOhdP8EXbAJ6F0PxYCjGab/53Yd+aUyEby3ri3fggQ8sa9WK+N012fkou9UFvrQs9gF6AydHDGjZZlrqjEaylYtRv09fFhCYdoteUmViktZDty3+NQW5afng9iYweHsYGkKQ4SC3Z/j+VnKoj4RmGPsJpE5ucGUqruhm5m6xHWQqvDYAOhVHoVF110AN3wwyCWbeme4b3WdNmNpImH4b9J4ThwKHcX2C1rrn4EraVuMauywwrfkPFq9SAb5+HTqnnFdDRdMf52N5csLx1Vtg3Lh8YoM8WHn6gjwVIs72tDWqz4GsA3kXun7qBhOa6WsuyH7pGujX+qOW9hNN00Ie+DjavquroBkOHwf5Ga3HOCBqq0dcLHRxetBCxQXjxpcOf+meL7HPJn9rmz0pWVFtGLIYun0RhztY4YnvXeO1ZijIm/aZYNzqJAqieeSFuzB/pIw+y+d7tqvViEZlL6iTJoXtK172vfCy39gXdjt3eAeWQI9vfKbBvQCtn5Ux6DIzntICdIth0pUg/4F+W9MPvKECTWeAtMmnzoN/WEvN/6ljXfiSCpBXfe38/WVvhUPrRbULqT6Kqcd9T43eDrLR/zN6u//+zNd4Cwe3Zz3tPK8m6/Olw/Qz9Kiu0CVjtiVvjE7G7KzTQJrlB29qRi6pAdLbZgbWg7wM0h1kv8wwvdoPVUq54lHPncIVoGwB6ZGUz6qgcXXJglR/kBrRwFS6jj2/hcE/7TxPBcq48Q08LZ+MxNHDnry/SuPPL98GHb/3zudkSkpWVBsGLvDLO4U33/hlULRpqCLISK2b5QTfWU+n/H45SF0Mxzr9AY9pAEJenAogk0HG+HyvClpYNS3Pf9R1ENzHu2qOwpl7KnU0qPrI9M9z07ahwbMryCPFrDvzNXQZyBC44EXVYo8R9VkeI8la7ajWB6QmzFumGaTcGC83WG7YQoBxYAmY4nlIxukB2QV6fue8Lq3fRTOr+Xxav+e/vzYu7xROWmNn/LrR/KXTgx2nqLYKZNnpPZviKvH9gEXQfVaSkFMbjRWolBt8qWdo71Xw3We2APAkSBuQIvf3L3kNrtugsD3TwT5bswpFhSxAgbwE0jbD96mC1HtRCVIgu6KK2NASEBXSo8zvh/9KrxcWf4Vd+pnw+WMgA4LpN16WyrjV7rJppxYa3zgFhtZPx1m/9fDDfOwSICAHokLTzcTA6iRS/mOehgGVgbE+3/srGuvzaPpX/uOX8mtu4xXtAfN/hA4V4fa9k/xr61tW9SbZ/Fkti73RoAGH+BvPPqhJsSN1joDaJ0LdXiKtZ7iMuTtwcNJzSPq/Z+/p7O8/f44Id1jW9Ilw83HpPsWzR2bGV3DrY/vmPwd17oNnn4BvXPyV3WCpAPAfy6KNiGu8WQ6tRs3EWAtR8v0dqNLEsqrXjo+Pc/jNKaYJ1tcFboWiPZ3XZfFPImz0P9avW/z2Z1k//RjtORJVc6P5lQuCHef4sXB6UZbYIACyxQiUfm9Zr/aFycPh/P9ZVsMlcPsSaPicCNu9QmVZ7AHUggvuSj9Db98Hun4JEw4QYVumfjQWousIqDwTDj8KZreC7V1EOn6VDQYRnrUsgPmTLav712AdB0XA8g/h28FxPQcsi0rA2cCVbr8RjZF6GXjZPoebApcDN1oWXwET0BippUHDJ8IWy+JeYCjQPej+C62J8JtlDTkA3q7ohVeIU0s9EyyLiRAEzXjnnaJrbmfywbUtizoiFEcJjWXRFrgbDYz9l8jtvznFfcG9f0b3+f0waRF8ZMEuw+CTVyzrQ/P8jGnpLUTJ9nTUzPcnn+81tLVLBzh/7+Z7//VrhJDNJJMmI1u16SzzbALynvN33jQVzrBduRjeHAIyAq238gpaC2M1WuhtHsi7aM2bW9CYgktBTgbZz4v1JLvJPFzND8hDaPrPjPWvnGHpuhCKV9pzuzJYWsnPl7u8PM54H/gLzP0O5KKgaASkMsitmvrW3QLpHcbCX6Oo5gVXTAvS9dE5LmDQVnisddJ6V0Bd7urb1p1hIPeibndfoplLN4J8A0NX5aPtzReP+n7bFenp3NuXxJXG0Dp1n+f47q72PfJEkkWqH8iBAcO4D8xfC+c9o29w/QAAIABJREFUVyhuauGuWfysGjmu60wCKMocR3w4nyWd58OHd4Cssvm00GMJ0VIqj4F8D3KKx3cOgjnvx5GfMTZwyIu0B+qS1tLne9Vs5v6yzL9LZd5PORLkbpASkAbBz8etbkHuGxXkWpB/O3/nzf3L/XcD5jsLRtlThgfBfIWZLhakJ1r529HdxgssIIck4ezoYOmk47xc61eUl8edLs94MlcaSXePvb0JyCyQF0H2z4XmEu+M+l0FgbsuMI274OgwvHTNIG3UT36OpF+qbXOKrXKnmf7FIO/Y98IW1HXuEzRe9F8gV4O0ADlJGevSwrz5FrEN4v0BomdBqXtzSazPAZC/gdwWQD+pgtS7QQlSStt918aNkTO3ZuXDVRytd5n3GsYVH+48pOwLcjuq3L6NgMIJ0u/L/7YAKQZ5GLvIrfe+GsYTpyYHD4dIxAJ5GuSBHN69H+SxPMZujlq7hpPFKhHMXHPfqCDPgnR0/u66hjAkYyC2/u7y93MV3jLDFs9aGahVcgUOcWI59LVPEs52Dw7GotpwybIw1qVQnqC1f84C/eBf4Z3rvSgEPNDC4yBvocoXR4v3zkdAM9ONA5kLDzfXNSmNfxwhdlKKRsHSTM9vQZqiBdZ3y49m/FiO8qNhaDoduqUIlkNtASqe5wDIDJAmAfdZKkiNC0KQ0oL2TnfuaZNM48/MmhW+BR21KG8D2XVHxQfIwahHzSq0yHi1YHEw+Fd42XON1bL9xc+aJ1I+haeuILO9XHRlpePW72j6YNkzz/EPRrMBTcZHEGsuiR/y2aioJvUYZxj6l0CXeVrYzS3IusmxcMmWOGoEQqKrmmh61osD7LOq4qxENFFGMG4gcdV+RbdWwc4/bHyCjEYDYf8OMh2kimkcxu0BOQ9NYX0ftuYySCVLOIV9c4cvAMuTS0mHkbE8B1BvkQ1BMLAZxtgVVXCOQ10s30W9IzwJUrqerTc7M3KtNsedQQ4Pr0W1NfPstWvjpOz0QRf7gawOFh/Xr4UOMwsNHyBHoMaHpSADS+8iP/xp8Pdvo6fiyM8YX6yAF/4oNDvS8dl/6xavE0j9pF1AxtgEeEE2wss9u11RbdWEdfodzlmuwo4nwWlP+6KqmAsMUPdIGLDZ2W0m/lqWHNaziq0VHRV83wNPCxqHhar9Cg6nRbWh54qg5h+25gukHcgEWwP6HOoXnrdFq1CfsuflmU/Dp4+gKbr/Eu6Y8dkz+Vuums9wYfJ/ieM5gLo+vh3heKWC1JO2IDXVFqRcLb9Kk24u0fEUSiPE5xkggWbUjBD2E0FmB9znz4SQUTdCnNRD49VL4O1r/NUxDNrz44FmcPXWuJzNf8BlepECXOwqIJ+DeDINRqGdB2kM85ZAn58zLXwuPp1eLlc3oQ0tcjfNGz6GLgN5HuQ/aNHcG8oGapdIwm2mwXzTBB0SbXlKEJFb3+HQoa59w9ehxW/qxneaJ8G6vDww+01oPy2uVokU+joVZJb9/6r2OXataRyaWTenc63/BuhYL5qxG4yDq3+CK2eZ3i/hWK7i6V6GWhSN0DzIbrbwlixI9UkVpPQedUrG003i7A4ZEQ4LWXi6ACSw2os2PW0pDwowkEZwzXI/91/wlie5Er6cGLdQDuOLE+Ai/xtkoleCja4e0DkTnAlpyGI04HyJBoz7g8WdQBs/C2JlztIn14Dc5Q0fXT5H65H0UsFJRAOQw8ddHB58Jojw3384dBg3TXrEa1bJZoL2D6a/otrQ/cewcAktT4BR2xJKjqH1URfRS03jMvq1M+tyimZQXEUAweNm8fh8Vxi8Pe77PyEgDt8MzV41DZ+DIDWlVJAqm820tM7gSIFBkdJoHJ8CF566gTwaYH+HgSwwPa/g5uOPRwma90CTsQ01jYfUp1zUebIsLgZaAfVEvNbNiape0177ONci+Xkl0ANYDlP/AZva+YMluaZPcr+NWgGbof+vMKKaS72BCsCbZd91w8fcOSJMsCws4B/ATHh3IWy6ovzVqCnbLIuGaI2wRiJsCGeUsOjQf70Jp9pIxmsp5NYaAPNEWBFEZ1pz56uPYcAKWLsuvZ5X7k1x3nwSXFcJqp5TWqsNHukHVz5iWZwnQtbaPuWnuZ1rZWs3hdiaAt+JUBLReIE3y+IIaHkbrL8Czm/pXIPOfLNpf3JSzb6LoPdkL3UKw2oi/AK8ALxgWewG/AWtI3UL/O8bGLIS7thPS0FuQv/tSdlagztbgbWaBFLj6Y9WI1N/hXfP+uNR9L4c3AFufQ/mzAhgjnWBl3J8N7xmWnrLXyqWGmhdprP8vRdVPRKvdYtSYen+U65BeSDVoP2HbtoCNM/+8X7wAXI9yNcge+8IVg1CSBDhnQ6HCtTNK6Ofu7bohi0gr4LcZFsUjwCpkMua5pLkJKK1uwnkpgD7OxD1YQ+hjlvGfdwezcAXiAWtEB53fFz+LhG4wYA8BdLXNB7ygL8I5BuQXqZhyX2t42fBsS1Sl8FXL8CorTBgLbQU6LQoTmefQfwUsuXpPpABAfbXBuQ55+8Kj3eCfQ6FQdv88QbSFeTZAHBp2XfvfqbxkAabaQDyRGwFNKvdmNzeT/YpH7YSXugRPIzeNktZWFpNhuIVIIfn2q/7xXT2M2ghx10y46NMjFQvNEd/zWy/LQ8PISaIyE6HnT5StxD5V359uq1/00m2W8oYkBds5nwDDFvhh5GJ8yUA8qlfZUqW/kaDPBgOrJldIkBuBJnGDpKBzyWRzxKY+629J88MkW6qoa5a+5rGg3+clSoxrl4Is56OQtDMH+54piD2QCe2IPUHzO+A9N6RlBwOOClk4WkiSOsA+7sa5G7n7wpHYZA0n6Ywd46/uojyFEje/DRILZAlpnHgCJtpAPJE7HVoWvA0QSCHvtqDTA4HzlwKaEpP1ELkmrElU7/uzO0Tl4N86AMvV6AWmDqm1zs8Okq1oIx/AQYtgqYzNAlG8xlRCYi2pmW6fbDWz29OXrMnyl52bJtnRiaulwCadnYtSKWA+qsMsgTkuHDgzYxHEhn4Hi0EhjgYnDgWlq4I0skW9l8COT5oyydIB5BXTc/fP65S93mn4vyzddabBI2XhZlsJq5niA966YZmybwMTe+81osgFVeLfZ64KEjhSddi2Ero/GlQa4Em1hru/F3G2PLQ0vTnOZ+XvQpCdqKqcTBimypq8z6Tm4O8bhoHjrCZBiAPpJ6OFqT9U0D9VUZTi4fCJOUI0z9B3stV66yE3GYqDF2ZxIQMBrnX4/gX2Dg+0TQuwsOxE/PRReBtMZWGnYAK6PoR2v0yMnHVGttKkBcC7K8dyDvR0l9q1sw/MvANM4nbODxoiunBULwK+q0PNsW/vArSwfQc/cHstm/bfoDWxqqH1h70VOBX6bFFCQxOOfvalwTv0h5f67VHemmafDagFqmWKYJUL5Jcjgp9zhlwUXDCU1hrgRY97+L8ndt+HbYCZD3IGyBDVDlkXlkGcjha/icrHxIGPlGvj1tM48ERNtMA5IjQPUDmg7QMuN+/gjxgen5J8FRA04Q/nutGArkE5OWkv58A6e7hvTNAVoA0NI2HcHHsdpi1FJNaUZBz7XGfjGY8fwefO94ufsXsespjIH2CwUeDcXDtOo23CY+5gV6nwsgtmYRckEPYQTPwOePs7GcDTodbarGsZnpu/uB2U2IMWW4z71/adLMVZBPIQpDPQN5CXWvutu+9fiBXqMu4Wy2j4M++xD67YprGEp2SV6xntLiX40C+c/lud1uQegZkHRpe0Ms9+25hWNsy4KIAhaewyoTI2yBNnb/LmAV5T5tmHrT52yWox0EHHOqPRWHBRLNY32oKnzb/29Y0rTjCZhqAHJBp2ZqdwIUcQgwMzwOm3UE+Jof4myTL06oky9MckLpZxqyLWpxCK0oZl8ed+ejk8JlIlJYVkIftcRtHM15RbRixCdpldVN0qcezEYpXg3Q0s5ZiodbjwxIw+r9cotYO47FII2ptXwlyggn8xumBDjOD3J9ogdSnTM/LP9zeGBZ7b1QDqY3WFfuLzZRdDfJ3kPtBxsOwNaZKUdgCRmCxJ+HjXvZA44czKjbtO7yP4rD8lfnQ87L5G3Dt2kJxQwSpCgN/DPYMKb1vrt8IF73srngsqg09voJ+8zPhC6SOTTeTUMXOLJDbQJrAKUeGfUfZ58VqPHp3heGNAjIP5BjT9OIIm2kAckBmV5DZeHRD8N//lxOh22dx8ke2hboSeH2gV2bQ3Rd+/mYyxIOgZtrFIJebnnc0uG3+RhwtT/ZaVE4aP5Q6UynjHYdqvDzWSktNcvLDfJCTQX5ANdqVo8NVUW24+BWtF9NgHBQ18uAOZ+klKgeCHAlyCsg5ammKUvPearIyrZ4CcduDLGDHDk6/Qi11gVqephFyZs1wcBF0TZUG46K0PKWsQVcCcLmNKqbIPj82qhCVPqZ9tnQAec1mfp+AK95zxu05E0zTUhzoLxqY5WyQYuhfHBSd+/fckDH4SHSG1i48A+RvIDO0LmA4ezRBy72+1wQ0XpWOgRfHrY5ay/POaRAKHZkGwCcyj0I1r8eH03+4xTDzg+2OpjD41/zdqoatyoDfg2zmuafp+UZET1Vg7g8OeN1mMuYpBcYj7fWbFsFYg0EeyuP9t21N2Z7wzWS4ZoW644SrhHC+uDpshjkO9H/9WpBFNjPzK8hm1Mr6AxpX9J5aakXSn6ALaOfGeICMZQfKwJc078q2UF4M910UFNOGWmNWElCSkejxElzm0yhjnhzWoTrq4rZPfvBHajX+Hm5vovhJHrP3Rpi/Do2jaw9S1R2+/htg/nr7/OxJDNMyu8/fTNKPXARkW5i9B+QnkEuCpBX/McP+hKf099u8H8YdlQ9O9N3O84NT5MgZIB+bou2s8JkGwAciq9jMTe/wxohv9p/gAvqv/skFv/ug9UGuMz3XCGnq74qTuT9oCvdS5qNaa/jLz3DJFmiwAZp9ZtIKCTLIXr/m4fRfehFdsxravp/HYXcyyFJocmy0DIzb3hjjQP8dZqLpT/dy02hFdQ7kOg4aCzkRvhhf3rJ2ZZjzISAfgrwIsmdZus1PaAAZToxiXU0/ZbPttd8OF7wXFW2hMUI5xyxGfYeDvAPNpjuPeeZr7vgt696Fuva1BnnWFiDfBrmKmKfNN5E4KBcGH6SxKl3kMZLCMoI7Q9zw0N4xs3H+wlNY8Vr59QvjO8HQZcEocqQvyMNR07Rn+EwD4AOR/1aGIbwMJHHNIJYLbEq4c2wGcrT97xyBTjMdcFsN5COQf5ieZ4T0dALIdvuiOjLxefzcEFD3kDX2mu8ZbN9Bu/3Ik9D+W+cDuN6kMJh9970xIqdLICoayOe8gcbHwNVb4kSnYT0g56OF0K8DqRBw3xbqBt7I9Dzj+IDcTITZrkCakUfiAfc91XJqSPA+Dq3WOY/ZbFmWdz8EaeDweaog9VZcBSkTCmc/Y9q8zR/WpuhhGvmL3olydApceQpPTnfU4O3wyYPkYUF33z8dPwKpmP19GU6eNSqT+noIpH/YNJwzfKYB8IjEi1FXG9eaR8GMU7iWp3QzdrXW6n6WvLk6/w69uqXgtgoaqPvfMAXTOD1ozZiZIL+DNCsEGkAtJQLi6nYZBl35729UI2jrcPiWCHTx7HYazBya5JzKOkhXqDBwH1c6DQYvf5xlU6HHl1C8nJCSpqDJOhYGLZSVlwdNUjInwvEqoS6Uh+X2fpePnffF9evQmjGW/i6YuCiQW+DCDc5jNs4mPL0JckGW31S1BanxcRSkTCgbMymdyq7rZW/BDwtJsTZFi4cLjrMFihWlQlRSwogF+dFe6h3V5SQ0vm46yMG59el2rwxfh7q6vwZyA8iZJNWlSsAyZAW0mxbMvS4zCbEoet7wmQbAAwJroFrHs8Ifq6g29F0bR21u5hSXTt+1Xe8c89HoqUSfsguaCnKCF61CeXlIuMGlZTCMt/VRLrTh6RVcn8HOVwtqOgWchxeEnmFvNApbAAoJ7qxwxplOg8dJlwXBW/1KL/v+C6Hn7LjRRlwe1EV0CcgREY55r9PZ7OG9i6F4BXQtSd9Tz3UF+RrkffhviwDj5fpDx/npMWKDBepNyvLuBHwkZrIFqTYpglQP8ogRC2a9os22587g91kJVy0tuw49lkTncuqucAMpUiGqeBX0D7Q+XQqNVLCFtWXkkC05Syr1/dFU6negGaA3qaD28QOK5+DmhCq4N4HsYZK2M8JoGgAPhDCZPMybPsc7UYn7nPFxZLiUgFu+nZqZy1/MhzJXqLvKI/YBvMMEnqPB4ZvQ9J9p2ua4a/RBptpwBRJUHLzl6ZJlamVKTbbR6vcwmf0oLEXhrGdRbRiyGLp94S+derzpNC706I7zeLnmxvlB3WeuiXC8+iDf48MTAi0GvBKkgdtZYDNkV2o5hmBoDKQFzH4bLl+mCqLRov+2KPGQ+OURkB454qhUkJpgC1JvmhSkiLDOk/P+HbQNWnwR9zNRY6ujiKeVs9GsyTfiUzHu9S61afBc9Q4Idk5ocrj5ptcr07ML8W7DgMrA2LAHsiws4C44bLTIlPvDHi/Y9qfaUDXls6rA9pTPNgHLlthz/SdwHNBEhK3hw2iuWVb12nD8WKhRE2ofDb2XwBGdRfg9/dezR0Lv+vBgHcXhJuCaNfp5LFpTYBuwwrKoIILk153TfHsX5z7fDcC+wADgduB3+1myFTbtWpZOlR7zgb60iawvAToG0VeUTWR9iWWxCLhGhOne3wx63eLSatR0PssOrBncGMePTeCttP8H60DxWAqQhsJvk2bCjFsta/5FsHQJzB5p77ew2kdAReBU4JNsP7YsDgJeAvqJ8CGsB4d1FOE34BHL+r4TVD277Lc509hiOG5vGPM93DQfNm/RM80TjtYB1XMYExE2AROACZZFVeBioA3wL8tiJjAeeEGE1bn076fp/XruKDjqOMv6YFzY9KFnZvUmul8PrKn4vvNnmNQt/LMj37bP/lHAKMJ7lsXJwJPA25ZFexGWeXvX211q0+AUy1qzOsg5KT1d/F84qMiyZoROTzk309JbBsnzdDSFsKcCXQGM1xqtxh7PnPKO2pZeK+Hbj7Uyu5eYj54rbPPrcNSFIdQYsjg8znjrmrF2QVnNy/kToXgNyLGm55KAT46z1zmQQG6db6eZcPXi/DPkNJ7i7MJyzBs7tf2u6zmHHMovJPmZL4f208sDLt0tT63fKTvn3GNVyqvLYzjrUVRb6wNm37dBxRFpXzIG5C4Pv6uGZuEdnj+NqUu7n3mA1LT7WOzXg4M8kwa49FkV5PIki9Qbam0LxyIVFysuiAVXfR1/y1Pk2SArorWhFhNa3Ghwc4oLPXmC1TQA6YhrMA7avAfDN8BLgcV2ZB5XdkeDhs82jQN3GN0ItM0UqOtWbTop5uO6NfCfS0F6obWcapqek1m8ed/YaMrMGX7N3+HOS+6255NTYLVDf1eRZ1pQkBowbzFcscLJhaVQXesiWMvFIIfk8f4wkHtMzyMYXLjV7JqyGL54Nog6IuXV5TGc9fCGqxCydh5hK08zFXSvCPIS6v7mw8XPCdYBG2HeT/DGIJ/FTivaeBmdwxyHgPw7vLWTarYg9VxYglSc9pKua581cWa8TQkHIE1BlqLJHgLOWGquXpbRtTQNgGmisgnrryDjTeMgM4yZtaXuft5FtaHRUzDyN+gwHeYtA6ljej5xwZtH+qgA8gHIANPzSYLJSppP3lkS8xWeQHZD092PKpst7fq1MLG7aXzF+QHZCFI9j/fPAvnI9DyCw0dRI7Waj5BEiYXO86Hr/CAuVhfmeRPU2mHORe+48nZ+hsH0oNm2Lszw/Z0g74BUzoHG0u5LkDNh2ErvwmKDcdB2utLo3a5wuo/faSYMWqIlHE6bFGa9NluQuiJFkOpOnt4ncbPiKl6v+lpraJ0zIU6CUybai2ZcOcjmY14n4GyN4dfLip9XgHEAEkgzValaaoGsAqllGgdB48eZSei2KI4HSpzw5kInR8WNTkD20+QMgxYFkHI3Z+HJFuSeAnk6VZADuQStoxMbq12cHjTj5W/5aANRV51NFGDiFycXKfc9225rUBdr2cv+jCfhm6n4tGDsCI93y1PwTA9If5AnnWmly8fwww8EnILafR6956L1xmo636vdf/RXBqH0/RJJd3MOO9V3miD1eq6CVBwtBfZ9NBbkKwJKrFReHrQUwG1o6Z+GpuFJhy9+9OQKq2kAEkhzO7SaLQv5IBkP8lfT888OZy5VtQuHEOOEtwy0MtzW2MWCwdK59VwR0NzyEZ5GoqlLd3P4zgJ5H2Sn9ckZd3uDrA2gny9ATjc9H38wpzKRIwVab4ZmK53vgvPXhHWe2QzlxyBjM8MbfJHnOD/O5+fgX+HWUQlcnP0MdPzOeW0a5mN52s9m7otcYldLgk9h75oG+3s00+kK9xhjb3SolqZSt+aWYvKOThKkns9FkIprjEpZAarbyTvavvWAn2aoW+zQuPAzClc86ckRVtMAJJDmWqE5NOSBNAYpAdnd9Py9wevPNFpIJtA44S0DvVQCmQXS2fScFJ4gAzW9C09lmci272uck9TI0Hd9kB8LZZ9Fu4ZyKMjC/PuZ9SR0+aSQGIQE/aamtnerCVZvUpgXq82sz4V3R6VbwwrnUg9+nVLPzx5dVYBKxkXnDdDpx7KfDdwM30zJxaKRtCavgHSKShHoZZ3h8g9yvVe1/w6bE/2PcOjHW1/Br7NUA2mbIkh1I4t1L0EfvedC37lx2RMqQH10D1y9dUfctx7wUwt1tX8h2xpHC1fjY2D09rjHRhsHIIEwp0NrqH2xhnFIyi5odr3WpuceHk53Wp6Cx6mcbGtsDjAPS3DCsVfhycUVNKvLCuoicr1pnMXpUVw2e1X98xuMSyR48ScA2RbI5YXGICTod0yKsOTuyhR2vACMagSDt5cdu9M8uPD9nWdpKY7c7pV6k8quzRGHowU158P9F+dG29IW5E33s67V1ODnl5nG8rlX099Npf140FWSIDURZD3Ia9kEKXi4uSamio8CJ5iEUeXX4gxSGY0dnA9yqml4bJhqgSwyDUdWOE0DUBZpRbWh8TI1Z4+xL1EJRRODZlCbSoxMluHgc8fUloaLV7kV5FnzcERvecp1TJAj0SKWRoo4xu1J35tzBDpuy2WvFqqSBC5/V+Ec7cAUl4jeBVEHVbvhsv32uFgITD9+lTbwar90S5VX2pbdQX6G855zXpfh69C4ysjuced7tf8Gb/NJxZ1TQfF43dEgRSDtbEFqnS1IdU0WpOwEGLHjNfJVMO4oPBRIK5AVIP1M88Qgp4DMMo2TrHCaBiAdcVFUmJe9bUI50fR8w8fnzvTQweNUdoMf5ivzZ04bFXA8V1bhCaQidPsi18sI5H6QO/zNz7vGr5A0hEFqoJ0ZsjECl62JGx4Sa9TxYxiwBbosdXfTM5Hu2I3ZarwsLjCafvze0fne6SD/B+/f6HzWTeiC1kl7G+SEzDQX3LlQ9l697C341lO2S2dczBE4ewVcszpu+9VhLZIFqfUgr6og1Xh8HPdHOr5LYysvWebtTilMxVSOa3s4GpbwLHlkfw0AjqYgb5vGR1Y4TQOQjrjwJX2Qe0HuNT3XnU98n0wXrn7X/ac4aKMCjOdyFZ7QQpCjQBbCtatyZ/LlQJDVIFlh9HsOFJqGMJ1Jd7K+iEehNPmCj68m23mNWpTAiW+UjQMxuZ8yuaQN2hk74bqOmfZmvtp/OQ/kM7ezDo1F7W8rRO8H2S/x2+YzNO39nDD5iSNA5ueHuzcGkZRZML+1iUaBlCRITYKRv+azxtHQqv/Mhjta3DjIriAPgswFqWtmvdpNg8HLY69IMA2AOwIbjIM+PwQdgAhyIhqzkld9g51P+X3cL7hadUCOhw4zypM2yna5mAlXL04EyEtFkAv1YpQ19oF6cr5CClrtPIfYgNKxrl4I8jDIP9Dsh71BroBWkwtpTYK1PCWvSTxjKBTO0ya5wRYXC7k7fT90CfywMA4wxuHxs14BWJ4qooWkj83yu71B7oLi1dBrVdk1LI2f9je2R/h2B9mCR3cnJ9yBDMhXoWtSgaQZF53WuHEM3NtL8e3feuzfylo43g+ZcSYdUDf7K6OaU24KU3O4Nr5IWRbwcLQqciA1YtD0lVNB+pqeW3l+TBN1/vC7HZijt6tGZvDy8qKNcj6weq+GeT+CfIJapKo5r69/JtLWVi4FOSnz7zp/6ozjK78G6QlyHRp79hDIeLhmTSGtiXPMU6ec4kJS1iSWeFD4Wm+OI2wZcJnM3N4LMso0bIX4BMHUg/wT5CZvv73wJefze0xoNGcrmHIuPAoyGuTG/GAw52LmvMYDNsL8DWjGxC4ge5qlQ/9WJD+0a0p4DZrfSvTXfib0Xge9N0YxJ3f6bfRUXHCd/OxCjJsI8yyLlUB9YLrf9y2rem04fizsfxisOBAO3gaH7Q/P9ICSoMHd2SjFefPJ8GAdqApsAnrXt6zqTUTWl5iFzmurUVNhT25VgTkzRDjbsmaOg/9v79zjvRqzP/7ekVtzwrgVg0Pu4z6mm1AUhqiIUrrnki4KuVVkZDCMcZsZd35uNcVEjBgUUiK3lIqcOul2SpHq5BLW74+1j+9t7+93X7/7e+pZr9d+dfp+v/vZ61nP2s/zrPWs9VnVXTN/Uw1ULSsej1HRoaNSYwX67+2/hc7TRV443ekOexzPD/I0EdZZFqOAW4GTs7+3LHYCboE9D1GZZst4zkwRHsi9b2pRxyQ1tzTcHZYvg9nD/ei3yNpKy6rfGipGQYPdlc/rj4Beq+An0f97b7NmTCyreYnq5qGj4KBtncc0ad4yKVu/LYutgc7AH5LiqTZTpq433AMOaQa7ne9zPXgSeN6yGCHCL/l/uu1vnOfvmtti0bmlwB7AqoD37wgs9nuTZbEz0Bw4Fo5r69zvBrsH5MkzZY7xH0+A6lUwtgNb3LmBAAAgAElEQVTc/TXQFjgXuNuymAKMA54XYU3cfGXS8mV+559Uv3aZCtvuBJOfcZ+XndbS+xrBwpuArtm/DruGpNpo9xpc2wjGAgcD9c60rPqniax9209bme3V9GMEcDW5faoYRcA9gDu57btadbYs2gNfA6v13977wk17FYcvF0rKC+DdGpUbQG4PZj07QZ/PKbqFujldebxfC2rLSVS+8CJ33aqdOpVETDeaozAfpE3aZ3XQ4owrQO6GdoeVas5THM9Cw4mXgGwZPW+DNsAh+yevZ075WF03lPp7A9IR5HX/41B7T99jlufjfqM/7KiRWSDHFf6t2xpUE9LqDRnPJ38vg5wW4v7/A+nlQQb7oUh3D4LMRdHv/qcnV2e9Wgohu2iOWg6ABkh9NBzsOZvvF0G6F+tEKsy8jRbQ/pE8oZnua+mIn+2xGo9GS/SERzpA9wVh1xBoNU73tNnzaue1wYCjst+d4Lm44Z9d05dmT4LUA9kT5AiQE+0IlKLuW3L4LdaDggtUjkAx6H3BJxaeQJPPAdgUL/cJZFjaGJSuoaETbPvK3MTSLpW5oBG1P/8hqVAPkHPgs9nQ/Ek4/124YiXM+wjk6KAy1t+f9kJa3aRYxiQOmYHcA3JDNPyly+3Yp+DT10Ae8juHxiOzGiTA60RRr44cnxRPPsbmRZBu/uSfVO5J6RttIGeB/C/AfVeB3B9M/p3XQpup0OJp+GwWyOCI+/QQyIXBx2zwYuj9iQMQRmOQy9DCtStsB8sYFCDjqHRni3O/B/8IH4+BFgcVEUiiLgoMtEee36QbUmtBXiiGIaUyuv5nOGuyHznYe1AhT668+7pw3GiQw3TNk+EgTwQFXkLD3k9H66fNVKCO6PJcc/dvxcuh9Rci6SbrM14qWo5WnIoajUDFshXXF/KH+ya+xpIurTj7TeXKb7RKrC9ftPzXvk1esP4mGacdPXqZvUjNipd3t7nl8lVozRlfp0dowvlqkL3i4VfKdKGVy0tLz4ZshKm3JGnUeZBdQ5BvQOp5vycph0TtOBFHvchr/W6UUc/zapCtvcnC2fECsg9UfAXtX4kuT0RuCOL8cB6zfl/D3Gkg6+z39p8gXdDioXnfldx+tz4EZv6n2EiRaiBIP4+/rTGknk8zpLqBbB8TbxtB6vq7Z8E6GLYBuk530xd/m39vER8gW4O0BLkRZBrIepBJthHWTJ1jwxzaEYGOb/qXjRO0uz+EwnBj481h6izrC5bDG1/DxauKwW/knY9J2W8HGRlOCWoEGd/JUz6LtzZ4BKOTgVO4ZKXkmySiknN4/jcvaNJMecZziuY0XtD5rTg2mMUxntzmlq7TQN5BvcM3gOzpkeeeIC/Gy7PsBbIM5IzS0bPBTUA+AbkLpE5SfOXntd986O8T3CCZOaQ21aQBmQDSJcB9k0E6hB/bPssiDru9EOQhn/fspbDMTmPW8XW/xmUp6QVadPWVAPdtD3J+miE1IWpDyq/xBEcc4LX8A5x7OIz4sdDJln43R1IO2pGi/z/2KZA/glyN1i5bB/IuyM0grUG2zdXl1mudx3fEjyBv2m0dUWN4F96nOpWTaDy+1KJsnIF9Ts6bchHp85MWgEdlPxbkE/+CDZfz5GeTns/rUFs8gtGNV1k5tHsZrlyjuU5zIlPmuGVZmzYgteFyHq/LfoZLHTaXEnqDWRzjKb8OovlL96Be8hcpcBqFehTPjH8spAkKP1v0+h15eNrBXuD/rZuU5B1MYecYP6hR0fJdexw/aH7j2AD39QF5Ntyzo53jVV/OmZSvyC0Kt34kGm43GmQxyAq4bGXcY5ZQXutvCHC6mNVGjSE1Ac2RisSQ8m88tX7Wi77YiKKvw9BvPOwXW8D5P2bOMd1/gTfXgnwKcjdIOy/y07Y6r82dr1ocBHIaihRaAbIEPhoDfZfnm9u0HxfMgv4LSslYKjVdT7yz3gQidVB44/383Vdj/FxcBW1Wa8yzN2XwsEGqD3I0SCeQYTCgwvkF6/0RdJm6uW3I7Zd2orMce30Z9IWM27jZ3Azd+PXAbbzarK6tJ08pPWn2JFy6BLq/57Jh2g49Vco5jUrdf/67MKwa9m5UnPGQziCLQBokrRtpPG0Ds15SYIvk37uwc4yObTcH2ObPZvpdw/zxfexTtWWdAdkFZA3INj7v28HeSO8Y/NnRbbDc14uWB4OciBYXf8XmeS6aG9UTBX6wiuGsSzCv9UWQ8yJqa3vbcEo3pM4HqR+gLU/GE8hOIJd6AU3Is29o4eQQch+Tk54JJp/80SOqa3IA9JjhzRCUa0BujlM/4tG54ul64p31LhS5D2RowHvbgLwXzSBcsRJN3KxG45GfAbkFLpzr/IINWARDqqKarGvLhVYeH6N/p7/YPd+H2S8HbNOCbjOcZXlWhJ66snK45lvo8k5t87yU2uW+UTlzavSIdcUBjMh8plwF8lcPv0s7jfr0degbadiQT55HgkwnKwQkWT0pnY1/FJtr+FsbnUMyakUNQE/+usbD9wePwsCSMEAL81pWDlesgF4z/b6rIOMICM6g90e3wXJv67qNIFPRYt5n4lIDCu44GYYEru/mXdZJ5LW+dhUMqoz6JDnLkFqLhvh5NqTyGU+oo741CsqxBuRJPYXJry/uetDa4USorDy50F7PuVaDQe6Kk5d4+ldE1N2kO+tdKHIKyLSA925pL1qeBeiuZD0+ANmdrMTN/DCL/ifr2p4jBXIxDshIINuiuRd5i6Sm/b4OSAuQv4Ms0g2JkyyvWWdvZHeJiP8M5DdzBZVjvvciulyr5DYI0gkf4Ucg22luVHKGgjohZLR9lQRYQymFnEWxuUYT/Mc5fH4kyDyQx8gqPu2fz/Q1oscM+PxzOOsw/eyieRoNUXrrRviwSGkH8la0z79wZRBZuevt2W947MtYmHJTnDmn+pw7ToZr1hYrb0Vl3GNhFPNx/hydXw2pF9ATqbyGlLZ1/c9w9uQsZMM90VPChfba3x/7dBNeGqDw9vlC3QqhDEvavcH2hNGMS6txHk+eLgR5IE5e4tW9jq/D0K83a7S9tMHcCq3i3TDg/Q+CXOH99/4S2gvnPF2QN87Ua1tJj4MPebt65OHNG2Dwl26GIQp12hrkX2i45icg14Mc6i6bB84EeQRFxnoSzZMLvDFEvYYtkpZjbb+KpcsJhqY0wfepdvKGgu3EmA5yfdI6Uszx8+KU0t/0+zqMzqL1XEa4fFfPnqs+w6MTyZnH7PeqR2XaZvBgkIVJj2scY23vBVbhwxnqrgcdJkHb/0LFSpCyYvZF1zOpwgeSY/D+ykUg/1dbxjhznLwi2MkOKNx5uiHVtcaQcm6r73L4dBKan/pPHBymakh9+Hj+sDgvKMM1V4dJyTn7PpkAl3xT6Lm2QVpy4b4+9H1vkKWxPiPpTvoTyMzx0P3dIKcxeAzdQ/MU7of5ldB7sR/lzudJhw+f0JC1wp6fTQG0AOQvIMOcZdStIleufzgApC3Io/bC+J5tgOUU98wvZ/ktyBB7Y/IJegJWlnmfFwAQ+R/IyUnLcVO4ojxhcn+Gm0Fyjm+4Vn/Pld1AVvq7pzTeb5AGaP5Tp9LQkXg3E16focZNxWo49Xm/OpvS9StWw7lvFJhjzkMjIi716+gppEPo6eKKMAZGfGPt9q72/MirHFDH2rXR8SRP4BPRN6zegozFh0M3ZP8eJ0SoY3Rj7M9BFHSuzDKk1oI8B11ckA27TgXZLk9bI0H+7F8POq/NB5ZVjHUxqx9n676o6YGFnmv/NhQwS5IXGrFUTYCcOM/PSLqT3oVRVl4IJaSAMAuG7oH8HmQ2yFMg9aNQ7lQbV1erh8vLpBqPZ7qYoYAg/wAZkPvsllXOE9iIH1DUrUuJoN6NvXk4CS0u+LV6jnp96f30T54DaZ+03pvL63i7LbLDvwPph8/aS96fKxbIBnzVASqdk2UUwvYrkCbJj2HNHDF4OfRwBOGIR0dyQlYGgPwnGP/+xhWkEeooegGXvBjn+wqvESD/BumR9Lh6H4erv0VP/NsUMqLQyIK5eIBf9saTlKOnD74jW4LsEyjiqZP9vAqQ3yc/xn5Pntz0fPBykKZejO2UIXX5qiD7KhStblAAPWgBPRclOc+neDp3itapevQsj/pyGsjEYvEZT9/lI5A/xtZ+0h30LohI4tAdQ/fsDdCF9iaip5cX0tvzgm2S3PvaOHCh1qIm0lFWDgMXwAWfpiaRmme7IdecOyU+3ZE9oO8n/sIw5WliSuw2Vxxj7Kbf956G1oaZBdI6nmfLXJBD/PNbPK9jAf7PAFkahdMiIn7OiWPh9mhwbIEWZW/mv/3AXvKtUGCBxSAto3oWTB6ueU+llTfr/q423BfNFZuXMqKcjSJ7zV4IcnRUaxvMeAAu+bxIzsWinDqpbE56BoZthOZF04HoxsRNz3t9CDIfBe26BA8nDO5tnfc2eUI2UfCIQKiB8M7foN+8JOb5kKeiLUHeKBav8fRfRoN0i639pDvoXRBRICDlhu7ZXomx9kt4ULQ8B11My8qhS2Wm0g8UOL4a2k0L5lkrZk5B9gt73rrU8XVNkeJ4+QirPyik7AVJ6ry5/I6xs0Fib7Q6oN7XCSD7R3kKCzIR5LSk+x9OdnIFyMeEBDGIiJft0eKQkXrl3efA48ek9KHPLBgaMXiAtzUKBUVaDnIjBU5KbQdVtdvGSL9P1utdmH/X0Ost1Iia/wUM+i6zDz0r7fzWU23j6RcvaGje+Om+oDjOxeKcOiV9wq3PP/YpGP4TtPx38Mgdt1zyX5HxxqG5zg+CHOOvrQtX2DlP34KMt433ssz75DWQNgHH+hOQ44oh79xnh8rH853LW2oXmid/U2ztJ93BYihCqo29G8Hw7+E82wB5uIM9Ad+Lz3oT3p6XvZhW2sZDh4IoIHDkeBguelJzhcAF4mcSzN0ctpsW1vgMN04j02TgrVp3kvoDchfIpUnrvbmi1AHZGmQoVHztJWnWR7v/AumfdP9CysayHQbPg2xRAvxMIuLCwTon9l6SOe7918KkpdBnaXgveYunI4iOaIDmW75NnpNAkJM0L7fF084GSGnk1YUbLzf4+itXo7WTPtDP+i8Mu7YVU14U7dSpNHQArXN3fPD77zwlG/bf4RkNQK6193Pvg1yAgyMoj4NtRzTq6L9phtR5IGWoU8k3sAvcfKKGyp01OYmT3zDOHIpULzFmvetEjHlbiXfQuyBubx2mHoKz12HITzDhovh4Tp+83IyGnfYB+R3I8fbL+2eQp+DKb1PK7u+0RvvavjJlfA0XOHljcU6evEB2Vto8ta0q1qSidVe86w/IzSDXJK335opDF056Jsp3AQU2uS3pfoWXi2wF8kYx+5InLOtyHEodhH/e69fAgC8y6y91fD0Co6cOfPKcFsMNa4RJHZArQVaC5OQo2N9/AHKuexvJIzqGHytPYZYz4OzXwo9fvPJK6XnXd3VD3fLgUpBfccZR/oWHnKE89/cFedzjb+ugp5LjUXTmf4Ec4fN52YaUgAzFBxqjjvfFq8POBeHk7hry+AFInQIy2A+koph6EoPeHQHyaWztJ91BH4IYDVNvCZonkIQXJtNgczOArvsJDdV4G0XEGQnSHdq/kvp94QrXmc89cjwMkcwXt69A56yFvWdl8ZKys4vFDfoO9m5UJN2xQCbDG9d51R+05sONSeu9ueLQh2g3FaiHK6emT228QHZCcwn6xP+svCE5B6E5QJHWoULrxV0ZpT7Y88vdIG95QbLywWsTNP/qnyDbpjbgfWfD0FX556/wp2BJX97yuuRSmPls2PC0OPcHSYXPldDJ04Ugj4S4/yECnOyD7AFyHciXaFmGXuRB1XNpY0dbdjWhff/BPpHKP97NFqjDeKSos7j4snfWu56VMO99NBTxd3n6vTvIsmLqSQx6tx3Id8QFFpV0Bz0K4RAUdjVwPH5yFZ1/PSb+2vn5Hd9wv6+Q4XXsUw6ysuDkb5x/33RlamG/YBZ8NCae/jouFC1Sz27+JMx5kyLVmAHpjCKveH6JUM/3HcXScXMV74p6U2Fvcmck3a/o5CMH2vNty6TGwTZIKvDpNfbQt4kgZzjzURNWXXNa3+wlj20OR0N7dohhLLYHGQOfz/OHFjrp2nw5UbXh8mJ0oKUC1kDLg3UcO74BI36EU30hy8Vp4CRlxDj3afAPcFXz4o6jNAb5MMT9s8iTy+Th/i1RUJwXUUTFu/GIPIiG7a23//6tbYC9lGZIdU7flzrL/PI0A6rru8WVfW6Yoi2P4fYc39Gl3zuCrCkmrzHp3kKQ/WJpO+nOeRTAaJCrwrWRrBcmyPNTit9mqtYMSH8hB66H/7yihkhNyMtVzUEmQNeNzoZa26o0mf7Wnkj2jb6vhZHEbM/GCmKCSE7x0PFNGFbtFaIzjb+LQe4rhm6Yq7hX1BslewP3VdL9ilZG0tp+P2NZePQZ+R1aaN5hTq24kP1aSFbtuFSYc/Zp/cCf4JUh5Dn9sueJCpAGMY6FBee/43X9QMMvF2lOb2kgOgbvu6e15CWQLmn/fxmHcEd/zxr6FYyP5PQ1yfC5XPlNGYWe6EbqlMjPg2yHlnPYKsC9ZWi9Ht/3urS3NwrIsgyN9jmfPPnuIPuAVDp8nm1IPauG1PFj3HO+14uGbMpLKJpdpKfqAWTRGI0yeJQstEI0P/iHJPmLqI8TQdrG0nbSnfPQ+dCnTtpOKSDPBH9+7iS474kwaENuDte026Hp884vcCbUuT2JPJTg2HaE+Qvg+NFRwsNGMdZogT1Pcdbmqn2X5hoO/w46Tw0fXlVWDtdtVEO9dm5SnfslF6Ow0TvG036vD53nqcuWgRwBY7sp8l00cwN5wjig8XhnXq762t7s5IA3oJDqS0FiDz/2swEHuYhaXqPF57h2AXkp7f8DCREmZrfRM73NcG2VRvhcWt86ofl0sZRucHnmHJDDA9zXCmRqDPzURRFYX0ZL1NwBcqDD7/4I8n6BtmoMqYmKLCgO7+kwew/yhwPQHK7P0PpuHUG2KIT+GiU6bBbvv0FRCitAmqd9boH8QgmAB4Xs39+JCZwl8c556HzoU6dUW8nWVony+flDXpygzrtU5r6Q8Z0+eZdH/7VRG7TRIDNKR5BnkpCLudx0JbrFA+RwkC+i4as0Ct7GI3e5E42Prxtxu53gi6XQY2Gm7Lp9AZNHQMVKGBDp3AByJMhsZ506cWUqtCb9OmsyyDB7g3WJGt3NnoSeH6nxfW9RIOq9zmn8euokTZPWnSLqaD2QNSC72f/fF4UCz5sUX6DNbUFWgewTnj83sKp/xeIR99i/41GndGx1cDL7P2ghXDDHf666XE3M4fO2vtxs68xkNBRva/u700Be9t5Wy7HO72nzjP0XCmzRHuQdmL8QLlzpNtcVY42xealCAcvqbioOQduRFMsBQeKdK9DxSE6dNsWrcMiLN0ONBE+f4vLIRVQTrNZX2N5UrsJ5dP4NKpAhRIDmVmpe5eDydZajekXlJRS1KnCYSeYz2r8CFavUgHWDDj7h31HLFU30HueuU0Mk04BKPQ/kYJj3Qe5pf3EMZa8bKDazU6e0fj9OGqIbWrg6cJ6M3cYdIDdHN37pej7hIhTIILZwTw/9OwSkEoX4jiWELHzEjTwH0qlI8tgKPU1+3d533gpyA8gT4fo7sBoWrAV5Rp1G6TlSYmWCg0nafVesAJmi/8a/xoA0BHkZ5n1YyjXifPbpBJC3Y2k76c4V6Hhkp06b2hXVpg09fVqFh9On6L3/8cSCR3Ty1BLkzaTH2Vxu4zlHcvMAfS3KL4KcE46vsnJoWaUAA+moShJah4Px4v/d9JiUXx9kNgHhhp2f0WdpfrS46OcGeyN0o7tOrRcFinCTg1vdoWLlzeZ3iLEZnjql9f1k0op6gtwGMjJkmzXAKVvHxPP1INPiat8jD7ujYCf3EQMqWZi1WA0LWQ5SnoBcDrB1qIbvjng8fXcBadgJpI8aJ/KtbUidC1LPfa7r/gHIcdDjgzj2SS79rgM9ZtR2h2Baf3YDWRVH21tSomRZHAKcCFyQNC+lSbOHw8VN4b5GUA+oBi6u0M+9kwhfWxb/BK4F+rr9zrLql0O717Ke19Sy6rcWWVsZrA/Ll2k79dI+qwaqlgVrr4YikU01sF04PgxFQw13z9QRgLHAQ2Wpz+uh410xCjg/X2uWRV3gOKBnUI7S3ofdUjp2PTAQ2JnwOhyIl4LvpmWxBfAboAyoD63+lroPUnKUpyyL+9NuHQvcZVk0Ayb64/DMi3KfcdfuMCfPWMUyNxwEPK9/NjogV6fqAR+vgLPm6HNmD8+U324Nne9psHsInjyTzUs+3e4FzBFhejH4KTGaBOxpWRwowmfAf4HbgJFBGxThM8tiNnAWMDoSLjPpRuAw4J+WRV8RJIZn5CURllkWxwPPAOMti84iVEf3BKe52/M7sydQB1gUHT/eSITPgaH2fHkKOrHfY1k8AjwoQqX7va7v6cPAw5bFTkB7oDfwIOy5xnmumz9XhCmW9flcqD46+n2SE+/8Ylnr1iU5z0VMK4EtLIudRVgVZcMlazwBI4A7RFifNCOlSCJrKy2rfmvdLDbY3Xmx90x3Ap9bFn8RYYHzTw4d5bzJKrxZdadoDMBsypRN45awZjk8f45P2WxgEzKedIN96CjYdV9Y2QDKlsO6hSF0pojktJHeSIgJvjFQEW4ydXofbgBuASpD63B4Xu5rBLtNtyyW8KuhRBmwLSrMtcA6OMhlc7PrvkDrrC8WAJ2BA4HZ3vnbdV//YxXd3JDS/RNOh9m/saxeW0H54c4bltWviUwrpkEXCVkWW6EOsE5J85IEifCTZTEa6ApcBwcsgc6HW9bnb8OXlSHmuX+hG+fIjSfdqNIT5r8HN72nm9blYdbxoHystSxOBx4AJlsWbUVYGU3rod6ZJsD0JIxKqJk3up8BP/0MnyyGs2+Ey9sC71sW7wH3A/8V4Sc/7YqwmgxD6ow+cM1IuHnb1FzXb0FqrnOaCy/aAGX7WFbzJ6PXl9Kd5/ySCGJZzEMdZ29H3HjyR2sOR20m16n4Mv8zeXKf4Lxp8YTYlZVrzO+Va+JITERRcHwfN6MQpQuTHpdoZOBWe2KOr1C3ZPnv900m/+lFl8VXaAFaOPG2cDy5hVqcsx7uPIW0HIK4kJIK89LjQxQt6kA7PKeMrCR6v2E1KLTvQpBdvfMXLHQnCoAd92T9Sy/ym4tRyuAgbKa5TlkyOBpkQZTjhKKyLcdjXSD/7ZeVQ4/KUtApO0zuBhR57YBo2rzoGH3f/PcP5HaQa5PRpZryBcMlVfetfaUdgrctisY7DWQJyEjyFJz1/rxW4+DCuYo2umAtyDg0B6teai48cyqcskHX7nj0pZTnuWD9kUdB+kbebtIdyx20Zk/CkBXQ+8PaOljFl1f4TRkuuU8o3v8wGP59XHGwMKyF1mKKfnMJ8nuQzwPctxvIyqTHOBoZuG1eR0Y2hvHyL3UUme20F9I20i1yJ/gLV3pclN8COTUemV40B807masOiTtPiR8pKUxegf+FEmQUyFTy1EcJ+4xiyCaIcZY0YqvLeGy2uU5ZcrBA5kC7l6Ncq1BQpXvi4TlbPyvtjfoZVUnpFwqlXQXSLIK2HoAZDwR5Z0CmgJyUjC4dOT637tsQgSOzy70cBnIvilo8AeR0bHjvMPszkJ3tcXgFzZEaq4bU8aOLAx5RevNcCB28CuT2yNtNumOZg7XpWLu1UV4w/S7oPz/1so/rgRZRG68GTvTjo/3oFtu4o2hha0F+6/O+32BXFq/tl/vJxHX2v8UFNwgwhseDzHTWnZoJ/rQXoGI1SMMCbdUDWQ9SLxxP7u+fvYlrop7Ta9fHvdjBmK4wZGNw8Ax/C6UaszIO5Ak8onQltRgnWaC0WBeb6KlTkM0nyLVw6RLnMb94PloY1BfsPsieIF8TQyRMpn5WikYEJL8HQtFmvwJpH6KNI9EIoh0C3FvXnqfrO38f92l+yyrnebtllQu/9VBAiPfUkTHt9twyDIFPP2sMqf+515HadOazqC+QdiAvRt5u0h1LdbD2Q/4WV15uRR2DetfKyqH7gsyXffCP8GzPzN80e1LrNVy6KIoJqxjjDvIGyMk+79kCLRKXaBXwaPp/5sRafvJ0Px5QN+Hde2FQpTPkdo3u9vpYoV+jKsac3yCIe/OOwssug6fPK6ZxghacnUFCYTXe+dz01pWU3rWbBs0XQv/v9R3fdByNQZ2DIOXuURL9PgOZaTvTXkXDd1uCbJsr28w5BOR54gj9ydDPmvk4m+/Eiukeo3OL9A9wr4XWTOoX8NlHg3wapW54fG4ZyJlwbrXzvN3W0XjK5f2Sz+MYSw3tc2r3+NFJ6EhtuODmE+GatZEXGE66Y6kObvoewuhkVVYOHTdEKS8/mwyQBiDfEAG0aTHGHeSvIMMD3Pc9HkOTSvUCOUNr6vRZVhtzntCQpFUge+f/XVk5dKtwPgnyAscdVwX3+DbvtoE/GeS6hMZmd5DFIB2T1pP8erHpRDTU9vzF/H0TC+R3IK2g2/Tgoahz34W+y93GHGRHkLb2uvAOesIxFd77Z+48WTOHPNMTrlwd/fyQPp41kQCVtiFVUwKhzdQEx2RfkM/Qmkeeiw6DdACZFXSPANIP5GHn7/zmaeatY1cH5Ci0GO9kkHUgr0Pn2c7PaDzeG/9xlWFxe/8XfAvybxRSfbuk9KXUrjgjmxLvXKqTbi9EO8/VnTeXS2U1XKI9efL3soN8CHJcfOMe6clTR5AJAe77GmSnpMc7RL/7osnOjTMTTpstgJOnwfDvYOTxSfNZoA9ngLwVRo8K6Vi8nsxYvaQ3gLyGHWOf0PgcjYb3hCpIGi+Pm1L8fq3PX7TQfNIWKJjPzWjNm5kg1WiuzRQYvCzo5hPkQpj1otcxR0OuToS+n7jMEy/FaYCn9LNllRrB2aF7ndcmqbNojaKpIBisCbcAACAASURBVE/joSYVmiddAdImxDMfA7nQ+Tu3vcolX5AVtu08/3ZfAC8PRsOOV4B8DnI3mq9UL3Vfl8rM+7pUeg+FjtNplj6fHT8a5i8A6a96L6+CrLENqbM3d0Mq1nFIunOZCpGt5H2XQ8UKkDspQeS9uONu3Z971iTn+OiuG4LyEAB16yaQv8Qz7oN/hEGNo5OX7GUvyr5C8FCv+p5J61mA/lpoAcYKkP3z/O52kFuS5rdAX8aAXJzn+zpqYF25xm2z5b7Ytpma2rSsl0yP73DJTg4O3oeaeaL3JzD0q+DvaPp8c/Zr8EUVyG7+7/U/VxXw3nZAUadCIU6Zy8s41I78RRSAqAlINxTJdTTI+2jI3GqQ6SCPg4wA6QzyB9LyW9zXo9ML5i6gJ0vfgmwfjWzb/1y8JP3gKKLRj2H6O3/caJg1ET2dccxhSv2+3xcweHFIAKu5IEc4f+emG/3noxExL4C0B6mrwA81iHk1hczXCwz+EuRikH0K99+/06WYJ94ooupKuLyp8nnuFD25nTPFfg/GbK6GVJyRTYl3LrOjrpWZ/w+Fxw3syYiHV/eXI07DKjV5RLfZ8/uyo57Dj+IZ92m3gXwGgxpHIUPbmKgC2cvnfZ+BHBivDkWrIyBbgjwA8kGhjTUKYV0FslVcfQzZlzJ78t/Z4btt0JO1udrX86b4O3maI9Djp1S4TLTOCJf+bGHPY02C6Ur2+9lnqXeEuOALubewR7kaPY0OBcRhrkJjUTonTyD1baOns20EPW4bRattI+l922j6s21ENcEjcI+zzl2wXEOQC+evgvwHpHc0sj2jKq4NWC4P7WIpCeKfD7d3/oNHQGaT5VSM0liwjd91uIT8OT+rx0J7v1gPpCfIW1CxErpnAelcbs/18csztb4PqYLu78bpXId3/gaDNuTKv9fR6InUa+iJ1GZlSG0WJ0+FhSCnonCsD4PsmDw/hSBw4z7mz35RhmyE60OF0fnxtMDejWDED9Dp7XjQbqbdpidQUUzGZeXqCeszyydU6kcgR8WjP3GgJcp2aGLzKyBlHu+ZDHJOdH3KNAbDGIhoTaEXsj7bEeRaNBxxIsiJahznQ79z+q5Nmod3pEQdBpunT5cTqO5YGDjysHWWzqhS+VS63q9jII/Zm1bPuRHm8qsHZeXQf23uhrBwzlNA9LrtQA63N1zXgDyCQkhXoWF2M9Gwu5vRMLwWaFheaKAdF2dqC/vZfQrwfRbIZP/Pc5pDogVnys9D+rta4xwdJhpqXbzQPfc546qv0z77CXWYfKj5YNHICORkkDe968aFs+Hjcbm/OfV5Z56GxzJ2efrTFmRKvM849qlC8gfZFUXmTDekziINMGVTu6DpgXDZz1Hus35tO+nO+ROElKGY+ktBOiTLi9tx4KDF0OvDOCdbNSTnz9cXpmZheWMECivuuXhl8OfHfyQdlccgDK9onPex8cgwWo8IekI7DfX+ej5JAjkP5NV4dKJLpRYW9Cf71MJ4xWo4721701QOcheah/YYyGHu93VwMN7aTdMNSE2oXrqHt1Kgi8O7LBK1h9I2/r4BaeDvvuDhB0HudU9MrnS9H811eAvk5jjeGXMJINtrcnircan8xRqdDlbgF444AP40QcNKe30AHz0FMgkNW/4eZA7qlLkN9WK3QoEdEjGSQfYH+QKtN+ZopKEn01/jO9rAbQ4pVghWzbOccp+KBwjiPmec/x6a53ir/dmV+v/z34tq/kRPMW/1905IFVlhfu59ODvSiAIP/HkCPYpnvFxz1rMNqdGboiEFcq6GL0af85p45wIK5Dg0yW8sHmP+o+eh5VjnzW+PGTDwy7g2YmiOx4c4IFyh4RHv4/HUITgPbhv/5gEMG0dYWAt6fBCFDMN57OV/+IQ4985XdLG4qGExD+QWt81Ennu3BlkJ0igenRjuS/ZQ1kITpNM3DQPWQcU3KDrWHv70y23DmM3vFRKlMVtA5veBXB+NfLtOowCiVZ53wNWbDSf82z08rObvljmFPNGaJBUgPeJ4b0r5Cnay4+8e1Hh5xj9vbjpw6Xq47JfMd+Sir2BsN3teSQyMpIAcdkGdRU/hAmKAhi8XLHHgb2yj24C5r39l5fpuFmc+cubr2EUeTjKORwEXukXpDAR5EeQsn/cMAHnFm857Q8yLWF/vi0oXndsPtc+pMaRej8uQSg4fQF4E6RZL28VWogiFsi0aKmC/vDWhO/EPEMiWMOdNuGSNt41Zzfddp+GzQJ/Ds8+xDaScTbLKQO4HeU29iXHlXLlt/If/DPIJGrpzK8gFaB2NPcjyUrqj4Lx1I8hcuHpNFJNxOI+9PEeIIoH523bTkYvm+DMQ5Eg0WX9gCJ0KDRxROJE9/Rq8DAUcGQTSCeQEkIPg3MPdE6ZPGBOdjJ1Ca+cIdAtcaNanvH+Phh36OCF0el96L4G5U1EvfE9ccwT2bgSDvnMO9eq9GF4aiHp7/8/ekK50L8Z4nX3/EEklX+fkPx2ibYRH46wtV5DTiWD3yLsgp/nnz+397CZJbdLDy1y2RUMG38AhlB/d3M92WiuTvtzH/qJjQHrD5V8FXbfC8dR4vJZBGSgwSArppv2uV2qYffjTOXsP85WfNdC+ry7qUD85sz+lUaYAl0Lv8euTb/nvigJppBtSHQhhSCU1Dmj48DfEBDZXVAWKSUB/APkYPp0EPSqLtPm5DeQ13ZTkeqMKbHQq0Nhw30YUCgYwjzynISBbwOyJ6q2PRxbum9ITxqA1E85B81IeJTM+Ps2wcqvjMXAByHHRTQbnvR3CI/M0SJd49LbhvjD4h8z+9VgI7z+Ihps8DHJQAf5OtDepoXKWiAA4wt/JU7fpIMPRENxxaKjXZ3DdTxrfLw5XkBM5tw1j2yqV/5s3aEHNSyqgxdN66lUcSGudP6Srv3ucvd+o8TmJNCMq05HUdyb89z31Zg+TFOpUzXhcugh1RPXWd08a5nnHNxTKf7J5OsXWqX3jkmEpXQUQwG6z9X0gSHe04n1LaPtfP3MTyKGoo8T3aZA7f62KBoYQj9ylDur8mUsWcpr93SJcUNtKU19G/AAyFrpOLaZR6wLQIXoinz/nCq339hF8+GRmKkEgsIhGIEsC6sLZaA7eFpn9Sr5Mga2Li0F+H98zysrhxP9B1581KuDI8SFzqGsMqUmoIfU0AQypOEEbCvA/BOSx2NpPQpFiEFJd6PNxMQYITWKvoED9Hw8bHd9GFEgf1MuW15OmG8H4ZBHQY1qGGlbnglzrpY5HmIkPDUe7F+ZXQq8vgxhhIA8RQ1V5u+1OMO9DFx35LXoSsAJkPEjTTHmcNUnR5Sq+AjkhIn4mE8IIC5PzhMasXwnXfp9CDQuvu/kNuku/h7nTiRFNsYC824G8G3Gb9twyvxIuXJFrmJ881etG2f0d99OGDEDzZXxBRtfGy91Qv2geyFUgfwH5B8iTKJTyW3DVOud7uk5Pn+NT7/3AL+GCWcFBc5zG88iigSHEK3/pD7IMpHHW538BuS1p/rzry9mT849XXNE0+VAcxfH9zpJzGQpU9AIhEDdBuoA8G/BeC81T7pH0+LrwdxvIqPjaj7Wm4G5o4eJ0Q6o9yDa5PKRHPDU9EC7+3FnXzylYvzEkzx+BnBhb+0krVHSCig/PPW0wjkGPlA+NoC17o+PNiEITYL8EaVYasgjn0YnTG4HWdXrXNjx2CMorClBwabR6Wlau3rmr10PH1wsYnNvZG9BKmPsO9FmWOTH2+jK608TwwBH5ARuG/wzHj8kK79oT9RqvBnlKPfHRFYnUk6RTNqROW2rargk385ejF60eBIctL9x2h/+5vFu+8iicxzNf/pRjDah7QV6mQF5Wbb+CzGfu91y7DgVFegwmDtJw5vAbIu9gCAPWJeWhDzcGcgZ6Et8u7bNDbFmWVO6WF30p5qlJ/rBrz5EaddFok/cICFxlr7lDQ+hAc3ufVHLAB6jzeAExpZgU64THwZB6Sg2pPxyQO5cM2Qg9l7o4Mb9DDwQiB55BEUK/jKPtX5+RtEJFJ6y4T1ukgT0YkaL8eTWiQAaDTPDWZjLHpP76HY+XhFS40FBCxrqjoUzXJN1nXZS6BA4/9NjXSIAj8rRfAbKf/ffhKCrg1yB3YCNiZSJN1UD0tl4LZS2ikXUvgbfT5JdsaBIBYcsLt+u2ETpzath3zlmuPUTHLLdNNNT4FZB7kpR1/GMZbc4TyH4gl2iJhXjn8sxN+nGj4bPZROw0Kt44yDG2sTQo7bMPQE5Kmrew+hIvP/lO6QdtgCMO8Ch/C+QGNITYtUB7nvungxwfUgeeiXLdjk7GYoHMhYc7xLP3id9p7tCnGkNqsoacOulQ4/HO/f3HafZ4TwU5PGK+bgO5KdbxTFqhohPWjPth4PqYjiy3tgf4+vj4zzWiUotaxzdh2Aa461RvbTnmXIWq+B1Pn8OeXqV7b459CqbfaS+coSbfVNt9Pob+C0vBM1Skk9XQwBF52p4KMtLeSC9Di6o6JHlH4211lvUcgbMkiqLSEcmkBra8YbTtFgLKCCffrDYWpAwncdRpkB3Q8L1LkpR3/ONZVg6XV0GPD/2j7TmPR0Ibon3QkOFYyjTEPw5SbuvbnegJ7xCQR5Pmy3nse32g4ZjJ5eOkeMneM3TdAEeNh1n/Bfk3Prz4aAHz5dgh5x7v2RrNjQ5VaBuFsl8FskvSY+zA2wjoN8/7qaMf5M5knebQ91PnuersN/KksdRBEURXoo7U0EjRqMNuGQVyxkM/J2llikghTwJZAj2OivqY2/YWPESRij+mjKj5i3LzFrwbg5nKeu4bMPkrOHl8saEi45OT02Q/aAMM+GM8bSfrGSrGxEgEwBEObdYF6ZrGdy9coYWjC2XIlXWl5IYDdqlM+j3QJOu+n0QbvlHMujTedBpNBK8iJuj/UrnQ3MFW0bWXWLL1abqm+qtHViqXbbBPstftfW0nxXZJ8+XA5+Ugf0uaD+XFdYO7DQrqc0cAHfoKj4i1IE1APo5IrvdQgqfdIPvBsB+d58zeM0H2CB6hUlauTvLinmbac/t4uGad81w14gc017MdWTlSaW3sgoZ8LkEBxwJHDYGcSsT5xI7PSVqZIhi436IoJjHV45H+ILOisIj9Pdc1byFA4nxZudbuKI0QgWjkE2fOVDxthzt5Ks6GGAUkCYXeZ7dThnp8F9ltLsAOBXIykvL0r0UQgypX1tEBUUQn67LyoGAm3tqOP1/Cj06jSH4rQQ5OSubxj2nUxlNy4V1o+NUb1NJ8NbQ46eMg72ooYucppeY8LCXjqQCfO4J8ClNG+ZmP0TDKZSD9PTxjEMj9EfG7C1R8Dac+ryA3zRbYhdITH3sY+pXznHnZUp0fh21Iha5fJ6l8XS/7hPcfVGdcURBjy1BAllUg1zjnPJ3/BfQ7BuQSey75Jp8hZa8Rs9A8WTvM35tTNfW7IVXQ/b3YjcYklSiCwbNQqOO/R9dm+kB1+J+NaFZ0uN1oi6iWfg5UkvLx3nbXwN4M1avG46HDd9Be4FLR0LH2nk8/irEhJiRwBApbe4s9of4b5I/258N0onULKW07w1lH2wSC3M99TnQQ6NHJuva/l3439yiUegXIzknzHo88ojWeUjIuPtwyGvL2MiWIVuejD5aGc2efOifvPCylsD1v/F7VXAEAfOfs7oOWWLmVPNE7KPBAr+hke/EqZwCiZMdeS2T0X+vEk+rr6e/n8ny5QJupBeRcB83Ljw0OPe053dEUicdJq8lVOAxZGqAHEumG1JnphhQarXKF7iGm3wndKgqNXxJOpkSUJ8JB7InWDnI8CvTfntMA9FmaxIsW5cbK3Rjo8k7SY1gK8vHe9rBqkBlo7YMdwulVTZHS5EPHMnmVbdBQC1/AESiq1SMoCMTd2Q4HFFXnEXfZtv3OWUezjR7vY5ybm1NahkoS+Szx9KOsXJEjr1jt0Rt9CxoG5Bi+WZuvOIynaMfJbx6F7ARSCdIxaf6D97v0nBSlBhgRtxxtPZqKQly7hG3LFyCHRMtrKUYcSENY8C00ex66/gStV6XXZMqzVi0o0G4zkDkx894EBXl4Fx/5bO5ykP4gb9qG1BO2IbW1/f2eWoOw8Pgl8Y4nojwRDWIjIoINT3IA3HmJbnLNg6TzHertOSgO6MzaIh/vbTfcF42nHYtCdD4B0ooCuXDu8h+ZmH7l51f+hgfgCPTk9wSQF9F8luG41D8DOR1kYv7CtW4yyv7t1evRkKKj8BgbrQWtL/2+lDYrcSOEFllnOoGM9fjbOiDj4eOxtWnO8di3kjSewsyXpEp0xJqAHV/fS89JUUp7jWLJEWRbkGftd2SHrO92ttfUSPLKU7xe58CvCFzzHerkO8XNmItXlnOmQN/lzqdP7aY583xmoZOnO0BuiIdf2R3k/9DTpu5RjVNa+w3RsizphtQZCjbhJIu2Val14/rjvNQNjfraklpIlsWWwJPAKBFmR9fyHntCvazP6gENdo/uGd5IZG2lZdVvDRWj9PlVy2D2cJG1lf5bmz0cLm4K9zXS/lQDF1fAqnbAmbDgbeixFdxSlvZ9U8uq3zrY8+KnTPk0OgD2OhgmtomC3wKyXwC8bFnsDHQF7gLqWRaPAo+JsCS3xYa7O+vVLySlXwXoAeBNy+I6EX7M/tJ+/84CrgC2B24HOorwfZ42lwMNYPmnql/p8qgGVr4DFx+WqaN918F1ZZnNVAPzptoNPAPUsSyeA8YDU0X4OcVn/XI4dJTK/8Tt4eRZ0Oaz8O9TcMrkaZ/fwYANcO92me/l7OHF5Ckiqg986+WHIvxiWa2uhSM+gle3jmPOyZTz8kTGOgqKrh8H/z31boH+e18jneM4P9+dIrxvWVwL/MeyaCzCev/PT5KWL3Oec6qWJcQQ7mvC7nskwY03CidHEb6zLM4F7gDetiz+JMJi++smwPsi/BItr3Vw5nnma8AyYAQw1rKYBLwIvCTC8mh4yEc3bQH3N3B+H1cugOpmuTx/tdCpJZ0jDhsFLTvCx69a1pTyMHNd5pyzsgpuXQLNewMPAgeJsC5o225ky/xe4F7LoiFwNnAFHNLUefyO3A1u3E3/HtEZls+H6oZFfceLbXFHZKWORGOxI/JSSBnINXoSU7u8Qd776B6LCieMSarfUZx42ScgH5NALQ/72ceA/AsNWZsI0jHdm1XbTp6U57nvQOe3MkEdpJ7tHVoA8jaa9OnpHbQ9V1XajvMJkIOOtsjnLbdlfzjI9fb4r0SRMU93Tl7tuaj04IDPX6whG8XNZynMp+/wrivwkfgeb9htoiALkZ08RdUPO6xyQ8hTAwvkEfhkQm07LSzFELkC0SB3EHPeSrL6KBbIZSCL4a5TVRb9F8IFs6IakxSvhXOe7FOv80HG2Gv4DHtNOSbKExY0dLEdyO1wTbXb+6i8D/7Ri5yj1m3n9gauh5Ghy78E42dQ41ywsyGi6LmS9plbLSmT85SugM11Exa+NkrKaJKVIE/DX08qtUm2ODJNJqwh2tBEGQAyOlk5ynb2JDwJDXO5E+Sw/DlPpadfyu8FVZn89vsaKlajYRfNAshmS5CNIK3h8/nQ3FMCvJ9keTQxeQjIW+4F+5KMdQ9vMMQdXhscJlf+jI86ePECvrjJ+bjRaC2ZuigYQqgi2i5yiNB4isbA1HaGS3jda3pgqYW+euc9GdCN/Pw4vWcjjwe5CUWomwbSG+Q3ScvPWY5Dv4KXAxdThpcGwJCf4tKnFK9tbLS9M6d6WEPqoqHot4HMRWtVPQTSPnscCs3FIHuhZTruA/kUZC1a53B4PjRlkMYwf6EXfY3aCVWK4aQpOXd6G079NtNwqrlqjM7iveO1KmzPsqgPPAFcJB6PVvUI8uC/w27NYB2w5h1oMBwmngkMAV4DThBhLgwlulC52kRux/F7NbIsdhVhZTzPPXRU0FASB3oKGGVZ7CTC6kjZ9EgibEDDSZ+0LPYFegEvwdoqmPwotD0c6v8O1uwNh+8Kl78Mbw8qPf06dBT8fbfMcbltR+g4QWTi2cHarP87uPQn2PgfWDYHZg0XmVpZ6C5bNp50QYSFwN+Bv1vW51OgXovMXyQdIukWqnPsnyyLh9HQxmX2VfN3lQgboWYua/daVvhtxOG1gd/J+sAi78+JM5TKTc4nnIuGm9apuSwL0PjZX4Cf0/52ugp9/wtwENDSspgZsJ26wIHAXtAG5340OcmyeMQjPxa07gJ9gOuBG0jpzkDg9qWWxVAP7fwMjfrCTVvn6sZPj1sWd3rkJwoZ+/qN7nW8zyPFoAKh4W9ZFtcDfwL6An+zLMYBDwEzRJAk+QbO17mIB6DuLZY1qgnMvNb/HHRjU3h1i4jWf1de/d3DRuBN+xpqWewHnA70Bx63LKYBL8J1H0O7xzLn4gHHWdbk+6HVIcBxwLbAFPt6EJgpwk8AlvVaOQx+B+5s4BCyfSXs95DItJsKc7zrvtGmmrjNncmtm+njaFnNn4Sdu2b+ohrYY29YeyjQR4QfisFXrTKeYObD8MDPUHWpZS0/J92wcYoN13vOeAMe2DuloCPaw7ozYNaLcJhtNKWo1CbZ4pBTTlS/BTDoVeATy2KgCOOif27DPZxf1N/t6bclEb6xLP6L5iHdHQV3YUiEBcAIy2Ik0AZa9YZWJwMvAMOB/dHdS0yGaRhym0C3LXP6dSFKbfqv3gbqbQPVTUBeizen7stFUN2itPIc3AyGypnAO0BD4DDgFPvv3YFdLYs1wHK4YGf48+65m42lf7UsOuXbVOXLnbEstgGOAppA0zYBF8/6wNqCIviV3PIwo8j3cpPz66NFbsyY2y0LizRjyr62cPjMw29u+x2sfRFWLYbFS+D0f0G/FXna2A2V+9HAH4Gd0ljbAN9tgOqdXXIf3vbA85HA+frVztjGEin7YnugeTtggrd+77KPS57OQfqcsPKL5zf2GBfFUPP3m7U1f69Gjea/WFbOfV8BU4EL7Avb4H8cWJVMn57fGTr9Ge5sqCzUOQ8anm1ZbWfAefdA12Xe2tlnP2d92qvcznvxw7PEYVSK8AWa13yX7bxvA5yuJ1P3bZM5F9+7F1zdB1rdDNwIfO7GkxrPzVrCrZ/A5+/pejV7uDpa6YTOC3lJ5/Qmh0brhCrF/MB0clo3+ldC78eBq1AD9wVgHPCqCD/Elf9aa4wny3qpP7zaDv5aF+rtn+511V/kemRh3qcpwwn03xuBW7aAi9aLTJvr9KzNjdy9YI9XWhaPAY/ZiZ79ozqFsizKYd9DnF/Ug5rZIABjgBdEqPbY7MPAnZbFPUl659JJFMDgZRxAJoB9gWdRD2MJUdQTaKQnjB4pzs151Dy90luESqc7LOvXnW9D+Ob/oF6WEVMPaN4BqLYslsCv1+LUv//4BTrcC//cJ/Xcy9pY1kcvw1G/Bw4G5gHvwsoKqN41d+z3P9yyOB1NqHZ6tzwDRkD2nLP7HnBQE/jjAJEnHOXgj7yPvd2Xn+0rMNkOgvvtDdX+UL0/XHwQXNUa1i5GnSVH2NeR9r/1gJn2Ncb+91OxgVcs675yWJ69rlXAhC5u+qL3sTUwDDgV6At/ex2+sNu5Pq2dk69B56JbC53WWxb7Q50/Oc8L7/xPpHQdji4GcmLGXMDfvIju11qhp6fd7e69DLxl/519f914+HnjDynD6R7s08ytoPpYuPZo+MNsOGhj4Xb22sNZn/Y7CvjQJ8+Wg+EZlzH8M/z4ozoC06kesM0O9vi0A37Jz9M7PwNbAS2AucDVQEfgt8AV9r15eOnUHi4ryz1R7vcD3LrAshjkv9/XTIHhnWDUlqn2Ll0OQ16xLFpHJD+PMnYykN32qo9VAjdYFnugYBO2IfXJJOjUXPU12miNWmE8WRZ7wju3w6i6uRuwbSbAd+udN2fd9nX2bNShBBHOEiW3EzcRplsWR6FvZ+hTKHsh6wXcCu0fhIvPzd0crOuAemN7AvdZFi+hm4tXChzJvoE2dAwwIyiPcZEIq1AP1t3AH4BBQDfLQoBzUEMxNk+Jd4ra8Ch+KEC0aJXJ8WQb3yuAFZY1bxZUH5672Zj0b+Ai4Hf2taf975FAW1jcHP65Q+b8eMeuMPBQeGQQ8KEI3wFY1oRysBw27J3/BtwCjLRPU7ONqO3xdfKUHY7BVfbfL/tpw63dlJybnwJL58F/u8U79m4OgoYz0PCdlcDHqIF0v/3vonxOnsx+HPsnWDQTXu6drx+WRVPUiTQfOEKEZbDWJRz9iUrL4lj0pL6rS3vboBuRgdDhPujXGf5VQg6JwhSVgVwidC+AZfFboAupE6mHUbTXpXE+3LLYDr6fqeN/O6lNO/a/f9kW2nwuMq2gMW1Z/yiHJQ5zzfOtRUZV+uTLghwjOUZj97ProfoUhyiCj9Ex8vqsrYHO6H6lDjqPTwe+KNzG1vXV75V+olwH9WMdtzOwg/9+n7EFHL4l/KUafvgefvkBLpsPh3SLVn6BflNH90prsw2sdi5G6nYw/my4k1gct0klgXlPFpMtNAm3/wLnBOP+C2HIcufvzljhgmiTaAJcbb1AmqKVwseB7Brg/gYgE1BktMP0s4IVqXcB6acgALIa5GGQ1iBbujxjGMj9ScvKh0yaaALksGoY9iN0mQ/dlyadlB1l8mUpJqHWxis4mIM/cAa3sUfrM3UEmQXyHshpIJb+fuhX0P39EIiZO9jv997RymzKKLjks7jR4dxl3P0DkPrh25c7QK7M8309+zfL0ZpbHuufyXYg80HaO3zXGuRzkP+A7JlPN8yVzEUK7fU+FCnuBRTRrW7Ez9kOBeNZnipc6lZDyTvoS23VpwiRB7cEWQGyP4pI+w3Idt7udVtXL6+y54Gb/M6naLH7RV7nj+LKXCx7DdoSZCuQbWy9/A1IfXsN2cneM+4G0lBBJsLpqCs/SQvEXTFrUEx6fQjzF8HQle7oJG5K1Hg8dKnMhTlsX1lbXtJSu9BCd39FEQ/P8XHfF6/v6wAABbVJREFU2fY9N4FsFfDZe4JcDvK+3dY9KPpinbTf7AEL1sDxo2sDnK7q+oVpRn54VKxSu0oRKri2XkE2G9EjMqUbUZ99DH2WRYSY+VeQO6OVVa/FxdC7uB0EIH1BHnP57iS0fMATIDsHaPs4qFgBrcbqnHnSM/DJcyALQdrGqc/miu6yDeieaBmJ5SA3g+wfss00o0meBTkiNZ9vemuVP9lEY/jBB49C35nQ7wvoP99rO/nWVZCDQe5CHVIvoI6uLTyM9zUg9yQt2+jGKMaSGEl3zptCXC7w8P3uipJPicrK1YhqWwUtq7Smitm0hR8nb6dQtjfgcdS76RviOk+7+4OMAJlje0puBTlKx3tgdW3ZqOe+3OG9eaV41VYP46ZwxWW8qhHV+a2oFqeU46NmE+9PT2zP5E4gR4O0hx4zirW5i9tBANIMZEbWZzuAPAjyJcjp4Xi/ZE1uaYKWByetu+YKrC8Hg9yOlmGZjEJmb+vj/hyjKVdnjhwPXTfUlrW2FC+VY+/ADh4PkTv1ULj7GbYz5BqQ3fKM+3SQ1knLJVr5xjMvJ9653M66W4r5C72azVnxxyrzFCq37sGYrvbC/g+QejHxUFMo9WadHK7+tjZ5w3LDfWoK59YO/s1VO6645sco6zUpj/2/dVvo0HCNvUBa2JvBa9FwpYm2E2U9yBqQmSATYNCSYjoi4lyDoN1hcN1GOGuytv3cBSBLQP5JyLBAE1a76V5oeNPZ9juyGuRekCNT32ev2S0Oymc05bZv9l3hxqd47x4a3vkQGho4Bq1nZaXG8aRnYPhGaPH0pjSOsa19SXcst6PJFGw1V5gxk6Yw/wsYsC4rRHIjjOteRD4szbuQWqM/uZNnpWhoqfHmmav0rygXf/e2rlgBUgnyI8hSkHfsxf9WkP4gbUEOA9k+Lt6SlbGT93Twj/Bkp2jaN2vu5nDZjofr0UiN92HSMOi+IGvN/glmTSxkNJkrqjEp/ruHnlgPsh1Oc+DNkbl6YPYcha46lBzVwCSnUynhzBvKJhGmQ+8ZcMtvsmDht4Q7Ti4iHwLz59Uu/Zk9XBGGanjeGVi4CE58Tr3MbZ5S9KFSK6RryBDk6m8YBDY3VMavlgInAWUi7CFCMxE6i3CVCP8Q4UURZolkQ6VHyVuS5ITkN6ou/OOMaNo3a+7mQCJ8KcINaImMYfD8hanyBWCv2VvAhatFmJkcp5sTFf/dE2GNCHcDvwf6wbM9c/XgvkY67xhyoxKEKi/F+iyGCtMuu5VGZerapT+lCKltyJBXilZ/3eqLfT5HhIpkeUuS4ob6r11zpqFwJFr+4BXLWlwB9fbK/DaJNXtzpuTePXU286ZlLVkA9fbO/NboQSEqOeNp01nwNjcqjcrUtVF/3GpsGTJUGyg6/Y1+I7FpvFvxzq21cc40FAWVxpq9OVNpvHtGD4KQnSxmyFA40sKu7VwK3plF2JAhQ4UpVSDabOJryMythuIgo1eGwOhBUDLGk6HIyGx8DBkyZCh6MnOroTjI6JUhMHoQhIzxZMiQIUOGDBkyZMiQIUMeqATR9gwZMmTIkCFDhgwZMmSo9MgYT4YMGTJkyJAhQ4YMGTLkgYzxZMiQIUOGDBkyZMiQIUMeyBhPhgwZMmTIkCFDhgwZMuSBjPFkyJAhQ4YMGTJkyJAhQx7IGE+GDBkyZMiQIUOGDBky5IGM8WTIkCFDhgwZMmTIkCFDHsgYT4YMGTJkyJAhQ4YMGTLkgYzxZMiQIUOGDBkyZMiQIUMeyBhPhgwZMmTIkCFDhgwZMuSBjPFkyJAhQ4YMGTJkyJAhQx7IGE+GDBkyZMiQIUOGDBky5IGM8WTIkCFDhgwZMmTIkCFDHsgYT4YMGTJkyJAhQ4YMGTLkgYzxZMiQIUOGDBkyZMiQIUMeyBhPhgwZMmTIkCFDhgwZMuSBjPFkyJAhQ4YMGTJkyJAhQx7o/wFM7glu898XtgAAAABJRU5ErkJggg==\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -523,12 +496,12 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "(Note: I asked for 2000 cities but only got 1998, because the random number generator happened to produce the exact same city two times.)" + "(Note: I asked for 2000 cities but only got 1998 distinct ones—sometimes the random number generator produces the exact same city.)" ] }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 16, "metadata": {}, "outputs": [ { @@ -542,7 +515,7 @@ "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -557,18 +530,18 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "On `Cities(10)`, `nn_tsp` took almost no time, but the tour is not optimal: it is 3% longer than optimal. But that will vary, depending on the set of cities, and also depending on the starting city. So that gives me an idea: Just as with buying lottery tickets, we can improve our chance of winning by trying more often:\n", + "On `Cities(10)`, `nn_tsp` took almost no time, but the tour is not optimal: it is 3% longer than optimal. But that will vary, depending on the set of cities, and also depending on the starting city. So that gives me an idea: Just as with buying lottery tickets, we can improve our chance of winning by trying more often.\n", "\n", "## Repetitive Nearest Neighbor Algorithm: `rep_nn_tsp`\n", "\n", "> **Repetitive Nearest Neighbor Algorithm:** *Run the nearest neighbor algorithm repeatedly, each time with a different start city, and pick the resulting tour with the shortest total distance.*\n", "\n", - "This is an instance of the **ensemble strategy**, because providing a different paramater to the function each time is like providing a different algorithm each time. Which starting cities should we pick? I'll define a function to randomly `sample` the cities (and for reproducibility I'll give it a `seed` argument, as I did with `Cities`). The parameter *k* says how many cities to sample." + "This is an instance of the **ensemble strategy**, because providing a different paramater to the function each time is like using a different algorithm each time. Which starting cities should we pick? I'll define a function to randomly `sample` the cities (and for reproducibility I'll give it a `seed` argument, as I did with `Cities`). The parameter *k* says how many cities to sample." ] }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 17, "metadata": {}, "outputs": [], "source": [ @@ -594,7 +567,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 18, "metadata": {}, "outputs": [ { @@ -608,7 +581,7 @@ "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -621,21 +594,21 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "rep_nn: 200 cities ⇒ tour length 10461 (in 0.143 sec)\n" + "rep_nn: 1998 cities ⇒ tour length 32327 (in 13.049 sec)\n" ] }, { "data": { - "image/png": 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OkEf10+j7TSDVTMsnQP5uBXk81DbNM534Bus53V02eXPO9miXwHEgw/RMUlqnef/R1r0rrFnwzXDme0Hzk27qOZBDQS4CeQhkEsg2dPyIV0H6gTRKV4mClELnN1wIUi+DPqgC8ik6kP/B5sasOdfHZDREeyNbVpDl6dBS8NcBZFyobZplOOUMsZw187oEfez4LZDZMGRPkDNXFx3VEJ3bsCs6wllSRWIpnT7W7H2dpcgaupVDFIqlgBuCXAfyEsg8ywwzxeKnK0idRDNMQUXT6m34cYL1AjzAB3pKgvwTHbagaVTGrFkaGh0NchJ0nxIFbxSHfpsPcrxpOgLkr6a1ig0t76lhhp1stQNXgyxG28/mo6OH3Q/SQ88Ag7Uhu+ysF0Ae0XTNn6xXBwWSxZYCOQfkHZDfQd5FhxSwnb0GlaQ5YBlUQpuE7gT50FqZrAP5CKY+DL1+Kaho+v0GRx3pMw3no00z15kds2GOPSca7toN8gMM/NXkJCdFf80AaWKajgD5U+jwBaGlPjTMsNPhhqvngtRLrvBMz4akuu6sf7UpGgyn3xZYsh5kmjUDz3jmmQ3FGsCHgVwMveeHpexAjgH50XqxBho4LQphfZ1puGiC/t38iyZJX00EOSO89ow4QIwHaR8Wj4ZjpzjFKPlprgg/O92VH4vhsHmwbC4sXxp2LAYR1inFo7DuZXigfEEf7IcqQ5ePRD7rFBY9UYAIAqwEViq1oS/kHFvwimB8k0VYoBSnovNVfqUUF4mwyu92NKIQ1teJhjW/6L/nDYE+pxYKpRyey1tyhOYrHkZIaQfMBRoAXwTYRj7MvpW9z6jRHhU78MnNz+MbtxwM2ml6ZhbFYmI2aK0EbrXMOoHM9qzwBYVWXv1/N28T77MdThyVMONsEUXznGVe7BpOW63fMbEiQXtfvRaWTI3OxPNn1J6ipR0DLJIAI/+lggh/KLX0O8htESdcKIzwZ4MiCPCwUswC3lSKh4DHre99wtatsGwPnP0WVD0YNq+HF06C/5wNPONfO86weW62w3Ed4esLEmec+qDQ1OVh0JQGApuJK0UV4HSgtS4tGhg6qToXGBBwG/kw/WbO4G3XE+Qt83RUrAM37IyyZ4lZ2ZiZDYLURh/Kegskx8d6e4CMLvRdXWtDt40ZOUfXBm4jv/+ADPCprirWxvZjIN+j3WDHohM6nwYt3siXy3KBewQGCzRbGuRYBKlgWQlCOccQxXjibnEsMN80EXpW9NKl8K+RsGAG/LI6u2Ml+wdLBoGkEUvdNiuUogV6dvyNUlwowmIfqu4EfFiorSVKcRnwhlI0F2GpD+2kAaewCjUiFWdG26gvbQ2lOio1q2nic6J/qz8sWbqzojNtjgK+ASaiZ74zRPgr//o5v0CfJjCoLryEjpqRA+QeDn3GBWUbF2GHUqwCjkan1AsWpt/MGbztRoFcbJqOBHpGgtxrmo64FOkXBdIX7YaYUdxsvQciv4Ec6PB7f7T/fKVweXSaiQ/eAfI0SMu8vSNTB5WS7X85/3ZJA5uZ9hcgg0Ca4yKtocXvUgP7M++CXBqKbMMcbD4LaQEROjSAdq3bCHKoaVriYts/zdHhBO7GY0x4kLNBJif5XYE8B/KR1za80eWkBP/VBmQI+mTwGpj5Cly92ky4CqcXzbmf6GL329C/0lXa9m2H7xaKDlfxrzD6PyvNKUpRFqgNLDJNSx5EWKkUw4F/AT1N0xOjIESYqhSnAO8CjZWihwi/pVlNJ2B0kjZEKQYAY4H70NnRA4ezg8Dry9FRQYcpxdHwzDvw1CFFQxIvGUbgZi8nk8/xLfP/Lvzb/CkitM+8bSNuoXOB6wKs/29kpRJH28KWS4L9KyJ4EFigFE1E+NY0MTEKQrRv/5nAI8AMpegswg9u7lWKEsD5QMsUbfylFF2Ab5VinghvZky4C6TafxBhoVJbNpuLK+6kSL+yXoq53Z393jOFnadU/xUB+83n+YoHj7CWfD4vVS4GGZXePeHYAi0f0a8JMXZCXDz1U090jItuqcaG/v38z+CO7W7HDjrmzwYQ3/OyeufZmxeLH8+ON5u4f89oQU+pPvNhxnMBj68SIFtBqgTer6YHlkcB3Q3ygB8DKADaSoLMitKma1wc++okWLxSh0lwCsKW0YG0ziArCTGORnJ6Tj0Gbt6TDi9+PjvJXE7DdEcFORwdEne/gMfXVJCWgfer6YHlUThvgfRwf73TDKR5ILvTIK3RWcQDjeMRFz/66gyHU30XfA7SAbpOysSzAeQudAwd42MB5CKYPyW9kMTZ44OepizeB+kfcBvPglwfNC/ZahM/FnjY6ceiPqcH1LO3BZ5xibVJOh6YACwQKXi6z43/amGIMFEpZgM3ou3kviMVXV7o3jdRpZr92Di6KXALHHpchnbkYcAJwLNKcVXh8RUyusKxr4pMfd79LZHJz+k3Hgf+TymGi7A3oDbmAicGVHc+TL8RPbzdSoLsxOEUnv3y78q9MN9mNtHuA5DLQV6xlr1r0P7evfSSK6Ol9FGWy6HvSQtSx2E3H+UxW0qqmaYfM1GQHJDZIDeb41P2Q4dETiurDnT7qpjOxBXIdyDnBthGC5BvAufFtDA9COZIkOXOvzs9dG23JlNqVqfWBbkW5A2QtTBoe4ZL6cdAfN9Acebx0q/1C+iKGcXxwQtmPIXzQkSHAVgD0tEMn9IN5LM077kalvwKV60sjhMCdAiFwLLwgOwPsp2AzwxkoznlOOCnwl9aGbSbQZPW9su/Cj9Au2VOgbZEEKUq7YH6raBGdVj7JRxWH3IaFq3L9VLyPli6UKkBNaFcjn9mDccl7pFAc9i/uv3vjVspRTtgkkTPPdMIUgVhyzBIW0I7rFCKS4APlOJ0ERYEwE4ydAXednuxUtwEDIQjTof3/oKfLf6PbADdn7J80LMd7wAPKUUDEeb6XbkIvyvFRuAI8CXkg1ND5t+I7t9sFevA1d/DgJUJGXTqor1VFoP8DL1me3ejKjzjOndPZjPxinWg9wa/ZzHeTQC9ZqF3zH9DHwvuCVK1KM1m80cW52KZ6hYQgutZQpv7o93dUia7tlakd6PzoB5m83sr9KZ9WdOy9Ek2g0FeCrD+j0AuDJQH00J0Lww7JXvDTliyEeQpkMZ6AHpb/torvvkC3ZKaYdKvM3OzBnQ8Hm7a5dUEAHIQyFXotHe/g0wGuRUePDO2pYcxluVJ+HFi4ZR+AbZ3OchHLq5TII+ij+k77uVYiukW03L0STYHgmwBOSig+u8HuTtQHkwL0b0wnBTiaSOLXpu+z6lzfIV2ablkuauz+3QyOAwE8jLMejMZXW5lgA7qdBbIMzA4N7alhzGWa9eFATvCelmCfALSPcU1JdHp7aalWiWAHIs+yFQs0g5afN8VUN1dQd4PlH7TAnQvjGCD2AQxa3au885t6PjTI0CuADkkjUFxsbXU9f2gQhTyR+4LJUzfa5ADrNVWxSTXlEGfvfjS7bhCB/p62LQsfZLR8ehsUL6biKwX3qIg6S/hk2k9BOTFXkiEn0Fs5g3RmWfy2vAjE41Tnf85AWgOTAbOBeYqxY9K8YRSnKsU+yXWolSlOko1H6HUpVNg6Gvwwj9E2O6dLicELeMYGsH7XueNGeg9BW76DSpVtb+O8sAooAJwThrj6h7gaqWo4wvBBiHCj8AP6M1fv7EIOKTwM+0rTL8F3b/Rwoqv0Gs2XL/cLzulG7OGtZRtjA65OQHtlvQVyFB46ULoGVLIgIp1oOeS2CYebAl6Ju72WQGphM4+PxIPWWhA7gEpFqY2eP9KuH1zEHsU6AxTTQOj3bTw0hNG8PEVQG4Becwsn5Jj2akfg9u3hGmnhhc66cEcrQS7xanYK9nLfUsZ5vySuHgCyCHWBmZVkG/h+9ehuSdvJJCKlhniZNMy9b8//Ju86D0suSYo+rPKTzykdF9/AOUDbiMpRMgFPgM+U2rRiZBzRsErgjz2fE0N4EMRrg6m/hhFfc+rHwIDJom8utyfFpzMNbUbALOBavq7FcDwWvBF9cQEy27TlomwTSnuRSenbitiNKRABqg/LD9MLQQQZ/0HAgxLm1VKPCTsBMqZJiIfoQe0Pwn4PqC6Y1hInJAoRQ1YOl+pdlWhUpXMD4U5jZkpnwFD0YflZsGwCvBEgwyV14vATUBH9MQjCxH4HsVcdCz6QJBFG5uhYSeGZ+IFEcSGa1KcBMwKqO4YtqhUFh4R+LAzvH8GjO0OncbpIGZe4DRmLngZmAT8Q4RmsHlTpspLhN3A7eiTjyW90WsagW/ozwUaWKfK/Ydpe1R6dqtQkjpcCPKhaX7teQ/WTg1SGiQ3CPfFuCSTexDurYXHzDPnWPbry/1u17KxTwa52rQsvcsqaKcJWUdA+XeNCzAqQk4QdkeQz03zbEbOcgLIz6bp2NdK8GcgpAXIepDOBb/3M+GDNEUnoq5gWp7eZJT30rt0KgzeAVUP97d++QLk7CBozxJzitPGQ/1hATQWMXNKqIhNKUZQ5YCglvNK0QHtB95DhA8Sf9M299Ft4dx3YehuaDcSRrva1CwMEaYDU9H28ayDyNblIlN7iLzRHIYtg40H+dxEYDk3s0SJhxqY/g8itbEZKk4m3tQMFUrRHe6sCv2X+73voRSdgdeBC0T4wu4arbAnXAH37dZKLKMIm4OAm5XCbwUYNsYA5/lc51x0chDfkSXeKU677ewGb1lsktyzr8/EPzZNxL4CpWgNPAZ128AHubAwo3C3heq+Avg30EEk5erqT6CsUigR726CIixWipFoD5gBXusxj1dnwE8vKLWouY9ZsX4AbvWBuKIwbYtyb6/qs7Gg7e6atbB4rT6scPlSv5K/ojPyLDbNc/gylhJWjI2qpmnJpuJ1wx3kOJBfQdoE0JfXozNV1XPPw127ocvETDfO0VEBN4IcZbpvvPen//tv0OhoLeOLMpZxkbpNC83lwDgYlmyGjqMTPTRAKkP/RfY77F0nobP03AHyEMhLIB/qXfQ7fnPalQc5FGS1aZ4NyPhIkBWm6cim4j3ssVQHWZ7oKeJTHyp0fOzFIElpyJSHFHTcCfKe6f7xRntQnkLBOWZkiTmFf8IRr4h8dnPhH5Rauwpyjiz4bQ5wyLFAU2AzsAlYaH1uhlUPQU6TovdUr0kETmwaQrypmTbSP+lnBUL6GPg/EV7zixLLB/lB4GzgdBHWurszkNOKTwALlaKZCNNSXRytpN5O+2/tuluZmXa7LHvy/+59BNxzUFAnQiOvxJWiAXABUM/+Cid7+bQvRLjGvs6liyC3SdF7SuyFMw6ElpWUmjfe/IAKHvkPUKMW8MfvSr1dx47faD1oUYHTA9/iHKXoC3wgwq/5sqt5CBx2FFwxFRre5xcV1iGb/6I3pluJsMn93f47DYiwUymGoo/jny7ibGfXsuk0Lv9Fkt7Rf//hpE++fAPuvQqtM92Ukvl/b/gP5BTa7PXRMcP08iXFskyBjAO53s+liv09V6+GCRugz6Z9JYqf+2h34fnpZ1NxXnpfMhEdGXAL/DQVrltfUHY9/QyuVNpqayJIpfTvb/FGMNmnpCTIXFKkJgsztro7uoMwLwUctdKEoNIYCOeBzCdFmExvmXyK3gNt34/SgApevu4GV9QetKgUF2nwymuFHozs0FmZPgL5GKS8tzpmPAcDcoN4QYN0QOcTdXx+o5iIxO8T0vusTVwpygCPADeJsCvZtV6iG9rdo9RFVUL0Rw8Fyc0gbpfSofrpZw3yoxHufBGOOBm+/jRRviLsVGr33iBkZ9nWRwMbgMtF+MtDHefAKWfBk6dBu3/45d6YgC+AlcA1wHD7S0IP8JYSfkdLLRq10lcZR1eJA32BZSJhRkaL3oDKBKntjW75Xb8uinKJgp1eP6A8D1wiYvfg+z+mlOIA4FO073EfEfZ4qONQ4CWgi8jrswkgxLMIohS3AZ8qxQgRthW96o6vYGg3uK9k/hgduhsaP+U3PSYRaBhtU0uWFMuwquhYD8eHv4wqPrbfVGYQe35v2AG16yb0RQX4cTwM2B4luUSfESFgAAAgAElEQVSpr0B6g7wQBp2We+JcdFZ6T8m2QUqhM0cNCkk+r4H80+b79vo5H35uQfPFlIfQ2XByTI2vbCpKCzNaUIqngFIi9Au/7bzZnf/LnrCh1EXjdWjTwug8QeSDNvqaRH5/XQMvHAq5P8GNFeHQWlC7HvScCl1uhWr3wKGHQb1TYdbJImPmhctRPnT+yLHdi85w240UmRp04pBCtHAHcIAIt9n/7s+YUorawFhgBHCfiLfTlUpxH9r9tqMIe73UkWZ7tYHv4cazYMYNeuW0dxc8egoccb4IUwpdr9BxyqsBncXDSmNfQuTMKUpRD7gUOM5E+yFlDwoJqZfyhflV6sqT4IBvYWypBBPMCbBut8jCvCQGHwGNAGNKPGJ2+irAFqcf/RhTSnE0WoE/JsKT6d2baHZSe+HB+lC3YaICD9I0JcIKpb57F/aMhbGV8sfVjWvgnV9ga+HrxXLR/B96X2ygH3QUW5heCtgssT4GucU0HcWheHO/TO2JAnIJyFizvEXHYwbkeZA+AdbfEGQNHuJ124+BXr8kjoFw4mm3fjvd/gKpAvITTByabmiDsPIPRKEYJ6BQp7VDHxkua5qW4lL0YB6yE4bsdjOY3bh8adc52QJS0yxf/bZExCb+DkjXgOpuho6xcrG3+51edlfNBPkXyAtw48qgX4heXQnh7tNh4G6/YiOZGq9BlsiYU5SiFPAYcKsIf5qmp/hg6xb0EeDScN9VksJd050Jhp1KMQrohu6z0KG9QhZvgd4/Qa2GMGmUwf2LpOYUr1CKtsCbaBdCj15aTman/Q4EtgHLYPupkFOr6DV+mqa8eul80RvGlix6ZD33eaVwyCfQdkjAiY8jhcgocaAXOrbJh6YJyRRRcH1LQF1YtAJeqwuLxiu1ckVyeuYNgT6nFnJLtIttPQJtrzSixJXiGDiyDIxoDfwG9BYpklkhLFSxaPANStEJeAG4SISvvNfkpDy/+0qEB3Rb81tCbv1gXUhdj6tCcHoJHdkYnJT4UQ0itF8SPEwvBfTyR/ZH56A7yTQtmfMSraUcfHo9XJ+We6CbE2voY9W/hO0GmtD+LSDPWn/PBGlmrs9lCT6GXgXpbj0Pp2ReV+rxGNaY1e10HA13CVw62Z1tO/29jyjtl4Qy/kwToIWuQ8WapsMfXqI1gKDX7ACPfT8M8oChMTMB5Bzr7xdB+pnrc9kMUs2nuvqic1X69nJ091KuWAe6jId/bA44GXcVaxwudbP35T02UnoTl2wuxswp+SaHOkdA3ZPht9PhaVPk+IhIub4BFQ8KkJ4RwGilGCIh+BvnQSmqoF0cx1tfzUKH0g0dSlEC2B8fzCmWv/l1QEsRlmZaXx7cuDhaJ0+vAqaJ7clTv1CtMly/F3L3h41TlHq/SzJTo7cj61tLwtI/4ewxUPXgbD/vkQpGlLjDcfA3zYWf9BNRO7pfqmSA9MxFb46dBkz2oT636ABMEmGn9f8s4KoQ209EJSBXRKcK9ALrcMv96JDLp4vwi1/EpYmVQEWlqCISxEZtpTrQaSzcWgJyDoDcA2DveKUqtUmlyElvQ/JGOOI5kUmDMiQ5O2Bi+h81k4O/vNkt/65cYc4mvmQ9XLGsUNjdVT6GQr0D5LlweZKRINcl/L8fyA5SRLsMiJY6ZJARCZ0W7z+WXd8Xk0yG/HwLclowdQf/3Fvmms0m3V/DLobMKVEzOfgHvfx74Fp4YAz89C1U3h9u3QYvrwibFh3p7oj94OOmsPA+Ld9SCv59HLwk/rRyx1dQ+h6lfjoG1qwOetlquaJ2hPwj7iJsV4qVwLHo1UGY8OxeaPHyf8DhQBsRfveTMI/4EX1aekqqC92goKdW2eNgIwWf/Ryg9uF+tGWhNzBGhKwMWucFhpR41EwOfmPQocAnInRVitLo5X5n4P2QCTkSWCKycRkFjtZzMzBGKU4T28hy7mAtj1+DZ8tCTquQsrI0A1ZIUZNDnl08K5S4UpQF3gLKoTPS7/CbMI/4ETjej4rszaZDgRuB2tZVucCBNfxpjzLAAHSKun0GJcw0O2+I9hHNc+vNCz956/hkd2URmgDfAog+XNMPeNyKAR0mjgQW23z/OPAN8KaV2ssjnPIz1nfw3/UF5wFjbL43tbmZto+4UuSgedgNdIqQAgeYj09K3H583IeObQX6ue+3DG7aTylf+q4r8JMIc3yoK2tgRInrWdrottBuJHSeoD+Pvxgu/LdSNDRBk89oCkzP+0f0YY2JwF0h02GrxEUQoD86IfTD6VaqFEr300nNDJjFzkUnGi6M7zGnxF3PxJWiMjpZwi/ApeIhmUPAyDOn+AAns+nsX/Of+1Ft4Ih70Pk4VbotKFWpjlLNR+iInXc8Ce+P8IPyrIJpo3yhTYlLQFaA1DBNSwY8lAXJBalQ6PuDQTaEeTjG8p/uneT3Kuj0WY7XJFxbDuRskGdAVmo/374/h7lBDVIXZC1ICZvfqoL8bvdbcPKtWAeu+h4GrHQXl0YOApkF8mSYdKYpYwWyDaRy5nU5bWTevBbk9IQ2S1vjsEP68o/OwTpjfWaaAJtBNARkRmElmC0FpCnILIff+oNMwmMwfw+0TARpk+Kao2DJBrhoXOGIbyA1Qa4FGQ2yFZ1I4DaQY/XDHuZJv2YjoM9C6L/I+bDKoO1w2bQwotalyztILZCfQf4ZVv9nMG6m++GhYi+jnoth3G3WYZ9xIKfr67pOgju2w2kj3fZdcfZyS0vOpgmwGUAKnQnkvajOVlLQP8DJ5Q59VH0mSM+QaPkF5LDk11SsA1evLvig9dkEC+ZarlpvglwGcoDz/f4llbWvP9xj49YYLA9yoOVCeDxIE5A26OTd3aDHNLcKBORIkOVkSYhlkJdBrvWv/4qOD2v2fTUsXqmzSaXfd1FMsmyiRCkAFqDttUpxLTAOHeAm2xz2m5J/krAARNhjBbsfrRRjRPwNmpQIa/PsAGB18ivrD4OnDim4+fTIAdBzJnzQSAJIUp0enDZPtw5Xinv0d2fcY3+NvKEUb1hf7Gd95jj8n/hdBWAXeudtu/WZW/D/arXd7AcoxQno5Ab3ivB8xuIIGNqjpEsDqNhWqRmtMncZ3boWuB2dpaca0FQnaKaq/v9pgQfKe4s46OTlVr6sUigRb5mPsg2RU+IAIvypFBcC3yjFQhFeMU1TGmgC/NvpRxG+VYrR6BfU9QHScQQ60XSK4/BOm0+USqXAw4ETffWaA1Yy3Xr17K858HC073ieAv4FW4Vc5P8dkuIEplLTR0CuTXq4fDdZpWiC9kK5SYQ3XTJsDPkugU/nuQR2T3QZtdxlLeX7dyn8f+FSFu0cvhEdpXRjQlkCudu9b47bRUa8YTXcvT8wQSn6QaUdEYooGggiqcQBRNioFOcCk5RimQiTTNNkh4KHGTZvhP+rAYf/lOK2QcB8pXhZhJkBkebkXlgIUffZd6Jv8hixYnwoNdlBoU7/UoT+wdCVPLSqUpwBvA1cLWLrTRNBOK16as1Vir3WF5spqIjzyiq0m2fh77clmxEr9WNjyD2uaN/9tikVtU5xVeClVUAfWDoZepSAhysn9FHQ5xjCh2l7jgv7XFt0WE7fQn36R5tTtng39jy5ChbM1hs5/qeQArkV5FFvPERnhz9KoVTtabO1954Lsh7kDNPyS48fJxvzZdPQnky+71HZ912/32Dm/2XeL23W7wsbn8YJcNcpcp12Qbq0YZTy5mWyOw5VD4cbdgaleECeA+nr7tpgNycz58VtKNVmI3Qo1S7jzcWqkW7odGpNTMstfdrNeHsU7d9rGoFsBDnSW115L4W7bF5IUuw2Po0T4L5zZjzvdRc7OJq8744H/cCAjAdpZ7rfwu8TeRhksKG2r7M8gk4wLQdv9EdnVQYyGOSd9O9LfK7ukX1hJh5Zm3hR3JQDn3vcxfYfOo70wTW925MDDwLm0iZe7JAXpyZUKMU/0KdgW4lkp9y9xe4ODI8DC5WiqUj+6efUSHyurgTuBu4lvZRw2YUsUuIH14hK5ENrl/4luGGrjv3wzOH5g2TAKneDpHRgcb6VojxwEHqzaV/DLHSAjlBgHRW/F7gEncwhq2UevMuoWzrYoRR3AY8oRUsRt+6CiRvhtdHxsP6NPuq/aVxx9E4xFADLC/I6JxG5wLo62kMkHFgK8n2gGtRrrWM/tBsJ1/6o8wYP2gVbHXfWlaKkUvwL7q+r3aESg4BlPkvQsjj7bRi0B5q/EqZsIoKFwMFKsX/QDVlZfZ5AB+XKegUeQbwKVAbOd39L4eB61YAVS2DSqSJTexQ3BQ6gtB0p+rAPa3k30At4YAmMDtxtSCkqAR8Ba4ArJSF4kVI8BqxHx4auAnQtPHtQimrAm4ACLoVKOdqty5+lq0PGpFBkEyUoxTTgDgnQLdWKBf4CcDRwjgR4cGtfhlKchTat1BeX2ZPy3X6r14TDj4FOL4i0vCdIOk0ia5Q4/N0546HN4VAabfOqjVZW7UaKTPV1GVjQB3zLJni2Hhw9GbheCh2iUYopwBBgGjAFvvoY7qibf8jgyrfhuqfRMaSHuB2Q6dHbfASMtfGX9l82UYZSPAMsFOGJzOpJ7P/8gyJWLPCR6NRsF4oUWSLG8AmWuWoc8K4Iz3q4vz76BHU9ETb7TV8kYHpnNf3d53DiJdjv1PfdbO/eJqVBtoNU0v8PbQEDdxe8d+Bu+ChltMBskE3UCzpo16v+93+PxdCiHsj/QD7ARbb2uPjSn43Q0Ssrerx/OMgTpvkIqmSRTTwPjrZxn08Y2p1ee7iKQ8KDE4DlImzV/47rA/eVLBQMvyT863R/aSyM9GWTGI9ZfxYLG7oPCSKcTi+eOgltNrtEhD8zayOGG4g+1fwlcIvHKu4GeijF0f5RFR1koRKfNwQG/+n3hmBRpOUC+HcmHw/3+gi7jEnOssm3oY/tDu+foT87jSsGinwecJRSlPNys1IcCic0su/Dv3ah90N8N4fFSIohwAClSDuVmwjrgYfwkAAlG5BFLoZ52FofFi2F9t9rP+2gfFnTiinSFJ3uzMu9viHfz1e9BVUPg+njk8vGabZpxvfeL4jwh1IsAuoD36W63kqb1wpoD7QDDoZy2+z7cPbXkjKoWAy/IcJypXgZuAedDDldPAn0UYo2IvZRRrMWpu05adq2FDphxEXBt+X+9BrIjyAnebk3IDn1BHFx9L/zBHsb+lVzQErmH4eORpiDNGXwqraNF+VB8yZNrFOBk9CZbCaA3AlySj7vhfuw/1Y9gZDGpvnbF4sVv2UDyLEe7+8CMgekpGlefJWLaQLS7ISzQH4IIhCPfXsV68Cpo6HHXmjzK5w4qrAiA6lkbWqWLnqvmXgk6DR376a4pgnctsn+WPKtG2HxKuizMQpHsD3K4Cb4/rWiivj6bbBkC8g8kMetMZVjX8ej7WBwLvT+OeEFcLEVG2Uw1DgiW19y2VpAbgH5yOO9CmQySC/TfPgqE9MEpNkB34BcEl6bbiLoyZkgX5uWTyFZdXIa6OhclM+BrIHPBzrxB+d9aq/gO47OhpkMSCu4dYM9D23fd3H/KejomT1sfjsUfpoSZACzuDj2SzmQZSCtPN7fWI99e08Xp9VnlFelxglIQ/gdLLNFiIlwUwepspbgKUO+hiyrjiCfF/quBMg11izyaaxEuM7hVJ3cFe/cCbLDWpa+CTIU5CJ03s3SyekK70HQKw1vUexAWqJDyXZyvqa5zdiYL9BsaTYpgGws6HSB3+IxVynMeR+u/cG+n2wnNS2iEhjMlh/TBLjsNAUyFeTScNtN7XcN8iFIV9MyyqenYh3oPBZu3ZJgAjgJZJq1kjnZXT3OLzCQHJCTQXqAPGDJYCHITutF+y7IvSBdQU4AKRteUmU5COS/IBu9RLGzzCsbQM5Mb2wsF7hFsk0BZGOxJiQzvTx3ehxescx+9ek05jtsiXI0ROMEuOy0tiA/hb2MTzUTt14ua0HqmJaRpscpwP6SDdYs3PUqxovStZa6DdAxtf+JTnY9Xyv3O3+3l+VZH4FU89K3BWe4Ld+EqQ9r5S1PgFSFHz6Ba9elkZE+z97dLP2x4fTCaOtg0omGAsjWgk5avYQ0D1w5P9ND/oChe+0nbT1tvhOJyiE64wS46Ky8zYju4bdtp8iuWJaQwaUWetntaVnnP71OA/SMtOMy5/Of+eYsSBno/o39g3BnLsgmkN3WDHg+yFcg74M8CzIM5Eb0Ero9elVxKDQ62n7T8p6WCe0OghnPueEB5Gq0rbSht7Ex2OFB7/ZnlBVANheQT0BuTO8ep9X1JV9BizccXrhLo/wiNk6Ai446A71UL2Wm/URF1ns+zHojgbaLQMaYllE+PdE9du9iVVMKbQo5HqQ12h2sL8hdIE+h7e/jQGaD/AJ373GxX3EWyJcuxthNICtAjvY+NhwfdIfve/8IcoDpfsnmAlLfmkRV9mMcxjbx4DpqIsjlpumwaKmCXm6fYP3/EMhQ03Tl02cmvZY72vy1ibvcr6gOstlppWSt8u6yJgmHBcSfjQK4YhnMesNaedwOUiHe/PQqd3kJ5N9+jcP8fhi4DrpPLfp99FIYGicgRQe1AllsahbuQNMALM8P6wXT3jRN+bRFJ72WM33+PAhuX1joPYvaNv2oQB4FmQtycJD8JUmofAzIe7B4LVy3Pqr9FuUCcgjaHOf6JewuZ6sMBHnGNH+u+DFNQIoO+hLkKtN0FKKpNMgCkHPQJ/2qmKapIH3RnTH4z2fqFxbIpyAXFPquJMgLaG8d4yYNOP+zqK6gsqGg900yilppU+dpIDNM8+amRDZ2ilK0QCdYGGGalkSIsEspbgU+BpaKsMU0TYmISnqtoJFGPsi8iIYfAihFGeA14ECgnQjbQiXcFqXKRiX1YJbiIXQ+zhNFmO1TnbOA45WirEQ8WmVklThwF/CACLtME2KDMdbnEUap2Mfh8oU1C7gc/k6t9x6wB52N549ACXQNMwHT/IZTEo2g2xVhq1LcBzwIdPCpzh1WELWGFIhQGj1EMhStUjRDp716zTQtdhBBgJnwd8q2GNHFLOAkq58+A34DLoqOAgf7EMKD/oDhZa00cJFHBMIaPw8crhTtfazzW6Cxj/UFgkimZ1OK/wGjRHjONC1OUIo56JXMaBEGmaYnhj2sZMZ7gGXAF0B/EfaYpaooCuaFXLcGyt4PEx5F095VhB2GSUwK+9SAPwG9lkGN5X7PzO1m/bC1ETAUaORHHyvFdcBpIlyRaV2BwrRR3mZDoSnISpAypmlJQmMOOn7IEdbOeG3TNMXFsa9qWJuF3zu5Gka1WJvor6MPu0VqA70ora7DENTJ1J0y2aY2OjyHLy7J6INl8/PbjKYLaORm4krxCfCxCMNN0+IEpWgJPCxCU6W4FzhShO7BtGXGzlgcoBR10El26wK3i/CQWYrSh7WSeBRoC3QQIXJ2cqU4EAZ+D8MOzZ+J3wv8g6J2/hYfQv0T8pOR5AL9l0O9XnDHdmB/q1RK+LvQ/7edBHdXtUsIDlOHA28Cx4iwM0O+SgO/wXlNofKHBWnuswRGt43Csxgpe5tSnAI0ADqbpiUFmgDTrb8fBhYoRRMRbxsgzlnV8+yMBQbPqUpVisTgiTKUoh7afPIQsA3oaJYibxBhr1LcDNwOTFGKDiIsNE1XHpTibOBFuOxD6NsehltjdRcFlewK4BWgytnwbJmC2aT+WwfuHwUsAn4vVLYCqwv+/+v9kFO1ICXam0eEKUrxHXADeqPTM0R7os2BMo9HOgOW6aVAoeXLRyDXm6bDBZ3vkhBnGh134+tky/XkcYqdlobRPYEZ5YKOsLgW5Ar9/5Md4Y7fo7gUTpOvayy+GkWAlgroaJErsGJ7O4chSDSteAsPXLBtp+ei/SiLtmPQgdCqZcZjxTrQ92foukMHOFvumeZA+8I0AQmD4mSQX0DKmabFBa0rQI5K+L8kOqaHbdo4b4r6lrUweFemA35fKyAt0PE0OufLvmfap1ijagMFucDir41BGhqB/AwyAoe4JQXHfGKEx/TDAyevO+/+3htgyXqQ0ywa/wvyhHce7dq4JUGRR2cyZZyAhIExijQjkhmi0zYeBzrDj21oTGdF3W8h/GOzvaK+ajac+V48E0+rb9qj45G0z/8u/dVM9MMXSCtLkXcJud2S6CQo63ER2z9hZp4wxp03PNOjpejJZHTAs/XoOPcHo50O6nrj1Wnc5L2EBu6CaY8lW32H1i+mCbAGR0N0GNDyUZ0BJdB6Psj/HH4bA3Jz0e+dgjX1XgBdvvQQVS1SMolCAelsPcAt3MnefjUDUi1Zn5jmM4HOE62Va5+Q2quD9pKZQJrBwooqxOUCQwTOXef3M46ObLgM5D50cLO3vNXjOG42a5r7ngIy3VqNGLUeGGtYCypPYd+8Hq6aGfWQj9YguR/kXoff6lkzwaoFv/cU/rJOvowumQi3bIziSy0KBeQKtK24SNaiFBmKqqHT/g1Cxy9fDvK7zookdg9wpMxYIHWt1d9dQc0I0YHCelrj+h94SI8Y9mQEHdJ4CsgnsPQ3HZsmvUmhy9SM5UHesdo6yNg4MDcA7Tq2+w6dp9BZcKYLyFiQc5L8/h+QJ1Pzahf+0j5oFdp3PiuC8Rjoj+tBVoEc636cXb8dFq/SClsmgDyCzkZ0FEiJbNpQRpv3Zlvjztf8syAHgLwNMg+XyTKc6wo3MBtIOZgzyqvpJo0AayWsWf9SkOONjAFzgy+ZzUkKlZvWoJP/Jk3EGzzNUgLkN5ADk1xzIHpn/OiC31esozcrr5yV7iC2lrIrTfJuutiZ2awZ9GIKpccrOsNevBqG/qU9I25dD58OyFPYzm1Fe0VYiN/90WGR38KnQ3LoPZ5V6FR35U3z6I2HzF7G6bx4rNXKepAOofNpTsBONqfCaa62C1z5HTps6AZ0yq7WhJxv0+qoeiBLXVx3G8iHNt8vBTnSQ7vlQf4Maskc9WKvVPtugYUL0ImYE00iK6wX7XiQhwvOsOURXCbx0G2e/qbOuxh9M5aeecookC+g7XFe95Wseh4FWU2EYuV7k0m4ma7QnlHrQPqFyqc5ATu9JdtudTY7yOHoTCiz0BuhT4I093sZmaSTrgB508V15dCbK60TvittKWJPMyX00j/SR6/DHyt37XJS2A4yPAtkUhoyVyC7/JrdBi8nKQWz3oQb//BmQpAT0Eky3qfQvk42FhNmMfQ+xU/olIKhJLMxKOBk6axcJbY9Br2h85M1+3oI7b8a2GwV7Xs60OW1XdHxOkpY/x8BssK7rO78HS77Jhtmhf7L3WlGddm0dF7gIPuBbAfJSeOezdmk0Ly5VEoJdCabDSBXFpcVnymzGEhlvSKST0EqBc6neSFnttlhzZYaoL1GloAsQm801A+gc74DaZ4GXdP4+9SgnAkywZuMssc+G8w48W9GBfIVadgtrQlC1sjag0vloegE1FNAjjBNv//yMJPpylp5Dwf5gYAD5BkXss+CUyCnoG2fq9C76kNBjtadeeIoaL0OzlsHTUZ5sBXmksYmD0gzi44ckGtB/i99nrLHUyK4fm17HNyw048XGcjdIA+ncf08rMTY2VCcx8vpRcyAIBejE38PCWvpvy8VSx/diDb9nhrUGRjjjAYowBLojYan9XHcq/+AgVJQEVy23L3fqDQDmemBjrf0ya7r5kG/JelvNIW7ORO1gnZz+wZ++Ex7mGQ2o4JXLoLbNrl9kKzV1Gmm5eCeP1uXym2w8CeQevr3Vm/BwLXaRPdCJ9M0F/cCcg4s2QTXrgtiRW2cwXCEeNpIfUIsE3cjuRFkePptD20BN+/x2nn78kwc7QM9F+0tkbGbZbpxVPT1N6/RIRCyZy/C4Uj6tVqR9P99XzbNmeuTcz4O6jk2zlw4Auw8PtPoaSBvgFyZftt++KruezZxkMNAFmKdRgQ5HitAv/c63fdFcZM7SBm4adW+OiEwKPfqINfoE9ciXvVPshKpeOLBYdN62EuGyWibAMPSb7tGzUwymRfM6n5UPTjkqKgEow8KSnE0MBZ4XIQnrO/2A7ZnVrNTX7S6QCm+pkAc60tPh8eiG0M6DVix1UdAyfKZjMUYqaEUCjgOON8q9YDPYc3PkHtaEMmwI5ko2X88thNWbtPp9xKT0V63QufmSw6lqAYcCPycftt5mcwTkV7niWxdLjK1B7zaGB5YA1sPSZ+O7IBSNAQmAvfmKXAL+6GTO2QAp774YSJwJzAc+AT4AUplvcJTCqUUfYHJwIsw9X/2/P8auWxBUYRSleoo1XyEUheN1586CbRSlFKK1krxGDqxxadATeAu4GARusHHPYomw+6zxI3+SQnTy40QljONQdZBjxPzvVPOTcs7BX1I5Etv7fu7LEefBn3JtFwD6qtmlrfExTa/dQIZnVn97vsi2/ci0KFYP0a7xR7jzP8NO+HHiSAHm6Y5ysVedteuhTkfoEPezrRMfyfi4GcflLujceEEK3gphT7d2TPDeu4BeSCzAeBP56ET/24B2c+0fH3uqzPRh03Ocvi9O8jIzNtx1xfZbBMHOQ8d1XEYhU6bFuX/qCOt69aAdDRNe1SL80v98ukgh5qkrVjaxPNzVjZsCjn7wfOTdao+z2gCPO/1Zst+7YsdVYS1lv22CzppYSSQSUJnpegEvABcJMJXDpdVJGObuPu+KLgXUb2mNn9FO0m1UuSgkyp3AC4W4evC1zjwP0QpxgGvK8U7wCAR/gya3uyC037KtlwRVpug6G+YfsP5/8b03Xyh0FEJa5jmLYGmC0kjBkiUZW7NsNeBnJK8/qtmwoCV2eTqF/KYaGx587wKsr/HOqqCfIgOF3G0n/Rle4HLv42qec24cPwXtr+2THRAm1Wm+SpEUxl02Mu0IyJGSeYgfdHR8hzjMGezWSOksVAKfSr5V5BLfKhPWf2yAeQqJ/vuvlT0PtTilXDl8iiOw2JoTsnMpc8GTYHpmdHkL0T4Sz+rGbMAABbDSURBVKmZo+G5UUpt2pCu+cJ/OMm8ZSeluBkYKcKvBU0ulSvDoGpQt6UIS53rrj9Mu/Zlv6uf31CKusDrwA6gkfiwrBdBgOFKMRl4E2ivFH1E+D3Tur0iE1NdZu2igHuBS6Buc3i/FCyInHmtGCrxPDcy3/wxmwDfZkyWj9CDuksHeLqW5jMX6HOqUpUM+Y+XL2cv80XfAA2AoUrN/x66HQePV8+nuf9y+GBv8v0K31/KWQ9LuVwJPAQ8ADwpwl4/2xBhnlI0AR4BZivFZSJMS02bvwpX19dpXP6LPJyxbsn4UaAN0FKE9dY4jd7EwfRSwP+lj+828WkgrUzzVZCmYNzfvATo0UvuxWvhyhVJ4sDvB92neDO5ZLern/99L1XR8b7nElJgLsu981eQwSRJxhKE6ctQTPCSIM+jE9FEPoa/cQKC6YSKdXSQo54zMguWJGXQkQsj5c4XRFAsLw+gZTNdzd9RIpPlCfVGs0NAp61RsEWG3+/S3pL3o4ScYR0dsnaCVWxd6goq3OWiUy0OFmi21PszGHp2ntIgIy0+K5ruczelGJpT8lCiJOzdk2ElDYAlIpm7tvkLJ5PR5g3e60zP9qwUVwH3AW1EWJh6qenNzFXU1W/jr/BSA3j6bOCZNBjMWihFeeDfQGfgChG+DJsGEVYrRVvgdmCmUvSGSrMLmk5qHK37dwXwNNqcnAPkHg59xnkzgTiNm02/+sBWAShFWeBtoAxwtgg7/W4jEJh+i/j/JvVvSQfSD+RF0zy547Hf77BoGchJ3up0mvH0XgBSraCppftUbUJx74bmc78caXnnNDXdF8H3tZwI8iPIOyAHmKbHoulU7a3Rr1BExPP25ic79yuJh9246b8VFszDx2QLIBVAPgd5jyxJx/c37aYJ8H+A+ZoF5lWQa03zZE+bbbjRrpZy65Oua5iz3AYsg6W/w4DtBR+kK1ekq4B9PrnaCZ11p5rpvgimf6UEyK1oV7+e6fZn8PS1ervoeJkv0G1r0WTnecWbCSR/3HSZBEP/hN6noNPJrQVp6YOsK6EzPr1KFibHME6Af4NKyoFcCbdv9WsAofN3NjTNW5o0HwUyG+RN0sjvB8+cAwN3282UdRKB6G0ugjxozZ4cN9tS1xFMtpXMaLi1mWWTnUxEU8M5r9zaTdE28IBiZyMvgNxp/d0eveHax2s/glSFBXOg3wLoPCEbD5MZJ8CHTj0UnV/zV5DPoMt4PwYQOtnptqx8MyPlQZ5Dn+BL+RJCJxBeAJ/dYDdTjmp2IfRBl4kg93i73/xBInsaBu6GKQ9l8nIKnm7nFa9OhGI/IfChzxuBLMuTjZ60LFxU1LSTuj2Q6rDwZ+i7JYqHeNyWrNzYtHw4TwcGoP04RwCni7BQqc/rQJ/CfqVeQj6eAswSYbeftIcB0RsyvZXiMmCcUgwGXhBBHG75DzBVpONT0NHmZ999732BCLuVohvwnVLvLYPH2qXnn+y0mbvpKaW4AyiJDtcc4Gfnq+C/hWi4ryS0qykyNdON+QAxbwj0OdX+OZv6DEx9DNrV9PtgjAgzlWIj0B74TIRFSl07Ez7pWrQfZaRSPA38Bewq9FkDeAf+swIerpzNh8mySokrRQXgMrTyLoNWPleL5MeZ9jFwUeROaqYLEd5QipnAu0ArpegthTxtlKI7cCr6peWAZA+sWYiwTqnXB8KsN2FsyfQOhDgdJDrxTOA9YA86m0je516b71J9primclYeZnJ6zmDrKUBtaH6ByNS/Amr+WaAP8Jn+t+pB9jI86AjgQqA0Wl/kfR4LHKyvq1AtG+VfAKaXAi6XUHVAHrI2ecaAtAt6owfkI2ziWmdjQe+8vwjyMwkHRNBeHhtATkxdRzCxkP3hz2vsFvMHiaJAg4/jrBLaj71FwO3koGN410pXhiD1QX7BclgoDvI3ToAWZNFNCXQgnjPRUdU2og841A2HHlHoyHqHmZaNz3z1tJR2L/RBphkgN5imK3O+nGz2l88EKeF8X8U6phMHR8Eu70yXu43C/GtvWAX9F4VBO8hTIPemI0PLnr4O5LKoyz8tWRgnwFaI162HhQtB5oH0BsnxOsA8DpDaVmdHyq3LJ96OteQqIF8WBx6dZ1O3b0YnO3gapGX+Zlje+Ok5A67fCaeNMbnCiNoqJ70MSGaUIDpx9i8gpd3IEKQF2v32Amf5d/0ahvwBgwNdSfguC+MEOD6A3b6ym0W5f+tS+Xh9+qqyhwFyMRmmAotiyR+svX7QBzKWbCBJGNhsKcnGBMgxIENA5miFPvMVuHp1Ns+8gpdnOuYJc+YItG93ZxfXtbUUeHsX194F8o7pPkhLDsYJcFwKD9kFsgvtOjgP7Tf7jvbnTD5ooELHJlT4YylIEyr8ARXSSjsF8gjIYNOy8VfOtiueX2HJJpArTdPnD3/JZ7Naofeane020GDlKAp6TLd/Jou6lJp0PwW5DOSLFNecbynw013WWQF9iCzjQ0Sh9ZlxApL6m0oZkJogDdD28W7QZ6H9oLlhFUhXaNG9MQfs3Wz9sBmkMQfsTUeRW2/4tqZlE46czx4DMh/kZZAKpukMXg7R9HkPj3/b/acyaGeBp0GWw6BtWTITL0uS5ChaXyTPGpXkvu+JsJ9+AXqNE5CmTc150Fz1Paz75BQqy+ZCT+jmv2fkqU0r6AMk20HSNsNEuSRTXujDPq9ZK55jTdMarByy3xvBO++2ESG36bAKMg1kEEh9fd3129w8k/Z19t4QlnkK7bX2kM33vdA28/oe6lQgX4P0Mt1nrug1TUD+QHC3sZNM6R8Pby+111SyFOR4eNtFBzYE+cm0TPyXcYcPkykva+BejRWrwzS9wY617PZG8M670wvszPcKXic9YeECaPGG+2cy7/ltPwomboQuX4YRyoD8YGhlE7670TKJHJVBvaegY7O4Dl1hrF9NE+BNwPZKH6jchAp/ZDgTvw7kVdM8+isvKQk/f6dnSCndsE5A+5O/CFLeNO1hjp/iXtyYktBnMjbgMWaQlm24G8cwfxJc9rXmr9dsK5pn7czrlZdBHjTdbynpNE2A/x1aoWMmNnFLefUzzYc/sshTVv0Wwy3rYP8WbpSXZV4Zgc4eU880H3Hxazyc+V6K1VhJ9H7Qrd7bCNdcpcf4NWsLvjSuWOZTnJYa6DMqoZxP8UynaQKC6dgKHRuT86cX7xSQH9LdCIliydRsYJlXrrVmZZdFIdpfXDIZD6Jg3hfQd7PTmAC5A+0FlkFUyLAz8QT70gC5E2SU6f5LSqNpAgJjjEfq1uLCP9PxEwepiE7HllVB4e158Wdw6z2CRUtNn2yMS6bjQS4HmQMNj7Y3RcrJlm05o1PK4c/Eg31pgJTTCTA6j43qBMY4AYExpuOL/5XmPa1Bppmm3R/+/RvcfsUTj2fzpsaC1LIUtK2dGx26eD4Jx9G9txXuxnHwM3E7c020JjBZFcUwTfwJKKUoI4LbaGpNyPLIhfnwM3ysU5S4085SiheBlejEiiutslqEPxOvVqpSHehUOESwi0iDMbxAyzsv/2WdetDlVZFmcxwufxCYI8IbmbabH92w4v+0jX3OdL/C0Noj6Aib9YfBE9WjHKq22CpxEUQptgEVgU0ub2sKvB8cVWFi3hC4pQM8Wi3zwe30Qlg+G/gWOAw40/qsDdRUis3kK/WV0Lll0bjZ0XoYigvsX5h9L1Sqw38LK1Ol6AhcADT0q32tyJkHvCvC237V69yWL6GnHeAUrjg6oWqLrRK3kK4SbwLcFhw54UEP7jkToO9hsH1HZoPbabbzeS8RitSnFCWB6milbpX9q0f9YSg+sEt2MbwurPg30A3yFP0pD0Oz8+Hnr2Ds/rB1i49EHAL84mN9jrDGdEATgWgmREnEvqLEU0IpagLlgaWBUhQqGtaF1/qL8E0mtaQ72xFhD/oB/gWYBqDUjIaQ2z3KD0PxgdPssWUXpRgPU6ZDl+7wdC3rpdwW+ozz2bQVmhL3GwVNUYfVhNt3wYOlo5YQ5W+YNsoHWdBHiZu7vPYCkE9N0+wj76VAdoDsZ5oWTc++e1IyfFk7bfa1fAvkXOibMohcZu1LCZC/SDhFmS3FfpxeuBKajIrq4bB4Jp6Ppv/f3rnHWFVdcfhb+HYKWgXBVMqbRqGAWEXHGMCGoLalPERB1MSaWEh81EekWLQ1VWvUQEQLQaRt0iGRTmWkBk1LhJYqSpRHEYuAKFVQQR6KxSoCq3/sM965954z3rlzzz1nn1lfsnN5nDl33X33/M7aa629Ny6+mxX6Aju04Di2pMh58ye/AF98ARvWxJvwastEhb/W/lyVbSIf3xVzaOs04BMtSG77QVgo6o9dYcQK1UVjkrQsChPxHOcBj8RoS7UZCERVIyRCkPCqx/2C/yZpe7JKc+EvEY6GM3rHFed1oYhhs+Gs40VW1Pn3oE5/IrOQNi/ibtANuB+GD4WX9oq8ttGvQRfJAFIm4gE7cRUsRow0k+ybCtdtgcn78z31uw/DzUta854hVTGT/CsjTX8is5A2LeIhg+5ymHy2X4MukoHA3KSNCGEnLnRlVBkRvgfcAmcOhsVH53vqNy2B82aJXDoBTmzvxKylXvTAB4pDEb6VkYaFou4+DD+pT9qyKNq0iIfHv3wbdJGk1RP/EOictBFtDRFqgAXATapsh/3QZIw7h2aiwp9HtWQxlgjHABcDV8LQ8b6FIgoJD0VN+yf8aJYIL6uyK2kbC2kLIn5S9H/7F/8qBRFOxT28/pO0LSHsxEQ8CR4GXtXIxTf974MZnUpxaIJ1AEOBK4GxwFZgIaz6CxwY61MoIoywUJQI3wYWijBClUOJGBZBu6QNiJmv8cQb419N8W/QhTAAWK+KJm1ICDtxC4GMKiHCZcBlwI3RV0U5NJ16BPdoJ8JFIjyOq/9+GCfe56pyviozYdXtrgqm8XcqhTXV5XMPbiuPB5M2pJC24Ik3I+Jh8a/pX0LXh6pkX1wMBNYnbUQEe4H2LdzTxigTEToBTwITVfk4+sqohN7ng0RWPwnnXIL77hYCF6mypfAO8S+BTw5VDotwFfCaSHMzmuojrsA9m4gwFrhGlcj6ztzqrMZB99jncE5vYKRvda65zzLkYtjzLjwzIY2/QCLsAIa42KwRFyII0ABsUmVq89d26A4/WA9Pts85NL8ErgdmvA7zrlRlY+xGpxwRBgFLgeGqbEjaHmjznnhx/CuI99UD80W4JqUhiSJCKm1OB630UupW4+yccjx80CDy1qaseGop5XqgOy523SzOix75OjxSC0dwkdabcNWge3abgDtUWSfCrUCDCOc2P7upmlHJLxuNbwmtXgC6qoyfOzFYsn9f0p+hdJvTf4q7Lb2vZl9r7+BUpn5ZGkNpaaCzQJ8FbZe0LZlNbAbTw7tgWj+R2jr399JQ5TNgFDBBhOvjsrGy+FBpE1XS2f++JK3KCiIduruxfvlyuPNlWDFblTdKv8OG6RlOTLaYXH+OWxaiIXcAJwOJ900mwymVWDmmykdBVn+FSP1BmDnSCWU5iyCqQVRi6tNKbi/aSnx40PhJxKEbk0R++PvSx3x2E5Mt5esOMVHloAhXAK+KsFqVVq12bRVJTwXimepUbloIfxgHtx5KewggPFQxeQ9s/Qh0TNL2ORtHPW/T9bj61kIhSfQnaC3oThe+Sub4wUx64tEe3/Bxwb7hW3H7hn/1qkqExzp3DCw9qjgEsGGmSO2BtHjnUV4UzOkCLAhmFT9TLSqMj438fZnlCNw2GG75AB49PbV7M3uLzXIqS1R/Dh0jwhLgHZx2vA00wNblMPogzOlZ7eMHMyriUaGF1X8FHgd6Be2Kxj+LcJh8cQ/+3K1H8Ze5G+g3EuaekKbzIiM2PdomwtnAY8AaEa5SZXXctoRPR2/eAfUT4Lj50LEvLF2Q9MMvO+zf59vGTelm357w/ly/DHgC6Bm0YUAvqDsD5lDs7FVhC4+kpy3xTIVaVgUBKqAdQYeATgSdDvo70H/ALw4UT6umq49TV9AJwannd8adVW9uOgp6A6gm3R9ZaaCnwOZNMHl32sN+PjSnBZs3wpS9pWvI5X93121T+JXCPcHriJfitjeTnngZx4kpzr3eTcFp9yKzusO7L+RPk7YcgpqCvkv/1FWVp0R4GagDRopwrWplj9AK6uwvg9pLmpner63ke7ZlRPgG8Bz0WQwLZsO/2nxSsjWI0BFYBn0WQd08WFdif+7YDhuB+cC95LTize+KdOge5/eQ6RWblaJ4VefhGlg2uniqNWKB6srU734YCO003GqOyao0VOCeXXCLS24APoCrj8DcC8L6CFb+FPgvcLx6tio2TYhwHHwVn70hcEZifs+meY7kc0GVJCfgPAtMb0l/un4Zsh6eaV91XUh66uJjy8qiFdDzQbeCzgOtKePnBXQY6ELQfcF9BpfSR0GIZUDSfeBrC85QXQT6J9CjqvOe2Rj3Ef3ZEXQ96P2gUt49frwyP3zY2MYsi9P2TIZT4iYr9bSqvFJO0lOEk4BrgSnBP83BeYKf5O5dUh8NIr0bdaUWEdoB83Au3yhVDlfnPS98NIv777fGA89n19twIGT2GXNyOeknoLV0tPyk56k9wupdQQcH3vY+0KdAh5bvtaiCzkj6c/vWgtnPDNCV5cyeSnyPY0EHgV4H+hjoi6CfwrT/hXuaU/cH100KlvsXjYmkaqhL+Kyt9sDzP2P1ZyoWEze+QoRu8GY9zOkPDzQpn7xtF9z2PnznFNyRb/NV2Vn++3ToDre/Awf2wYvP+TiLSQoRpgPjgWEaubahRferwe0/fzYwOHg9ExdnX4NLQq8B1kHt47B0UrGnefXfoGEp7ti984ETgFeCtgpGfwjtGwpWP26FxYmW5FbOA296z8L8WRXGdtJPQmvpanDhgvDSwPHLKxF7zXJcNf7vRm8EfQu0S5k//03Q4aC3g9aB/hv0M9DXghnWlCBPcmJrvjvQb4GOBX0IdAXc82XaSnIr6YEn3SwmbhTQ+fTw0sBDqhWJvWb6XNPYEGESMBV3IMOHJVzfhZxn3fjaCViH865fwJ3Os1FLPJyj1FyQurLVRUFD5I3lUDMs/241wPcniHAWsAXYHLQtwGZV9pZiUznE4YEniYm4UUDUatdKJWdseXgp5JfyHSXwYD/oOUyVbfnXIbg9w5uK9WDgGHKhkHpcSelbqhxpjV0Rq4K/hvd3hI+pF58GHgH6AH2BS4FbgL4iHCRf3BsFfou2YuuIrAk4mIgbRYQdWVfJ/U3ifkj4T8SWBdvh+c9F3j8LJ9SNYj0I+Ixc/PqJ4PW99AhU1JhaPTV4KL3a9OrgwXQaTtgbBX5i8NpLhD2EeO/A22GzitwDsWs36NEfxtbBeZkQcLDFPkYIcSZnIrb4TDzJlSZEauvCE4gPHYJ7t5HzsNcCa1XZlYCZLaJSYyoor+xKvsA3tjOA7eQJfP1+WPJr+G23rI43E3Gj6iSSwfcIkXHL4Onhxf8zfoVq/dDqW+QHIhwL9CBP4O8YDfd29nV1dSlYOMWoOuXFVdsSUSGnHe8lZJAXBKGUTUEDQOSdvlDTOf/KbOVgMns8m2H4ix2TVjkaH4hNyVYOxsIphpFCLORUGdpCDsZE3DCMTJP1B6KJuGEYhsdYTNwwDMNjTMQNwzA8xkTcMAzDY0zEDcMwPMZE3DAMw2NMxA3DMDzGRNwwDMNjTMQNwzA8xkTcMAzDY0zEDcMwPMZE3DAMw2NMxA3DMDzGRNwwDMNjTMQNwzA8xkTcMAzDY0zEDcMwPMZE3DAMw2NMxA3DMDzm//+lR3jWBvr3AAAAAElFTkSuQmCC\n", + "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -643,25 +616,114 @@ } ], "source": [ - "do(rep_nn_tsp, Cities(200))" + "do(rep_nn_tsp, Cities(2000))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "That's encouraging; it found the optimal tour for `Cities(10)` and it improved the `Cities(200)` tour by 10%, although it does take *k* times longer to run. But there are still some obvious flaws in the 200 city tour, which gives me another idea.\n", + "That's encouraging; it found the optimal tour for `Cities(10)` and it improved the `Cities(2000)` tour by 4%, although it does take *k* times longer to run. \n", "\n", + "# Real Cities" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Random cities are boring to look at; I thought it would be fun to work on some *real* cities. I found a web page (now 404, but a copy is [here](https://raw.githubusercontent.com/norvig/pytudes/master/data/latlong.htm)) that lists coordinates of over 10,000 cities in the USA, in this format:\n", "\n", - "# Improving Tours\n", + " [TCL] 33.23 87.62 Tuscaloosa,AL\n", + " [FLG] 35.13 111.67 Flagstaff,AZ\n", + " [PHX] 33.43 112.02 Phoenix,AZ\n", "\n", - "The nearest neighbor algorithm sometimes makes obvious mistakes. Consider this tour:" + "I define the function `parse_cities` to take an iterable of lines and build a `City` out of each line that matches the format (excluding Alaska and Hawaii)." + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [], + "source": [ + "def continental_USA(line): \n", + " \"Is this a line of the form '[TLA] long lat City,ST'?\"\n", + " return line.startswith('[') and ',AK' not in line and ',HI' not in line\n", + " \n", + "def parse_cities(lines, keep=continental_USA, long_scale=-48, lat_scale=69):\n", + " \"\"\"Make a set of Cities from lines of text.\"\"\"\n", + " return frozenset(City(long_scale * ncol(line, 2), lat_scale * ncol(line, 1))\n", + " for line in lines if keep(line))\n", + "\n", + "def ncol(line, n): \"The number in the nth column\"; return float(line.split()[n])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "You might be wondering about the `long_scale=-48, lat_scale=69` part. The issue is that we have latitude and longitude for cities, and we want to compute the distance between cities. To do that accurately requires [complicated trigonometry](http://en.wikipedia.org/wiki/Haversine_formula). But we can get an approximation by assuming that latitude and longitude are on a flat rectangular grid. (This is a bad approximation if you're talking about distances of 10,000 miles, but close enough for distances of 100 miles, as long as you're not too near the poles.) I took the latitude of the center of the USA (Wichita, KS: latitude 37.65) and plugged it into a [Length Of A Degree Of Latitude\n", + "And Longitude Calculator](http://www.csgnetwork.com/degreelenllavcalc.html) to find that, in Wichita, one degree of latitude is 69 miles, and one degree of longitude is 48 miles. (It is -48 rather than +48 because the USA is west of the prime meridian.) \n", + "\n", + "I also found a [blog post](http://www.randalolson.com/2015/03/08/computing-the-optimal-road-trip-across-the-u-s/) by Randal S. Olson, who chose 50 landmarks across the USA and found a tour based on actual road-travel distances, not straight-line distance; I would need a new `distance` function to handle that. William Cook provides an\n", + "analysis, and a [tour that is shorter](http://www.math.uwaterloo.ca/tsp/usa50/index.html) than Randal's.\n", + "\n", + "Now let's fetch the file (with a shell command); parse it; and find a baseline nearest neighbor tour:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, + "outputs": [], + "source": [ + "! [ -e latlong.htm ] || curl -O https://raw.githubusercontent.com/norvig/pytudes/master/data/latlong.htm" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "nn: 1089 cities ⇒ tour length 52879 (in 0.170 sec)\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "USA = parse_cities(open('latlong.htm'))\n", + "\n", + "do(nn_tsp, USA)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Improving Bad Links\n", + "\n", + "There are some obviously bad (long) links in this tour. \n", + "To understand the problem and how we might fix it, consider this simpler tour:" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -674,7 +736,7 @@ "data": { "image/png": "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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -691,14 +753,14 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Starting at the upper left, the tour goes to the right, picking up the 5 cities in a line, jogs downward, and continues to the right, picking up the remaining 5 cities. But then it has a long diagonal link back to the start. Once you've seen this a few times it becomes clear: *any time a tour has an \"X\" where two links cross, we can shorten the tour by uncrossing the \"X\".* (This is true because of the [triangle inequality](https://en.wikipedia.org/wiki/Triangle_inequality).)\n", + "Starting at the upper left, the tour goes to the right, picking up the 5 cities in a line, jogs downward, and continues to the right, picking up the remaining 5 cities. But then it has a long diagonal link back to the start. Once you've seen this type of configuration a few times it becomes clear: *any time a tour has an \"X\" where two links cross, we can shorten the tour by uncrossing the \"X\".* \n", "\n", "You can think of uncrossing the X as deleting two links and adding two new ones. Or you can think of it as **reversing a segment**: this tour visits the bottom 5 cities in left-to-right order; let's reverse that segment and visit them in right-to-left order:" ] }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 24, "metadata": {}, "outputs": [ { @@ -707,7 +769,7 @@ "15.299342436137655" ] }, - "execution_count": 22, + "execution_count": 24, "metadata": {}, "output_type": "execute_result" }, @@ -715,7 +777,7 @@ "data": { "image/png": "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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -737,12 +799,42 @@ "source": [ "That's an improvement! \n", "\n", - "It is difficult to get nearest neighbors to avoid making mistakes (like crossing an X), because when it is part-way through the tour, it doesn't know where the future rest of the tour will be. So, rather than trying to solve the difficult task of avoiding the mistakes, the **improvement strategy** says to go ahead and create the complete tour, mistakes and all, and then do the much easier task of fixing the mistakes. Why is it easier to fix the mistakes? Because we can propose a change to the tour and get a definitive answer: either the change makes the whole tour shorter or it doesn't. The changes we propose will all consist of reversing segments; here is how we can check if reversing an arbitrary segment would be an improvement, and if it is, go ahead and do the reversal:" + "Below is a diagram to explain why uncrossing the X is *always* an improvement. The four cities that form the cross are marked with red diamonds. The crossed lines that we will remove are dotted blue; the lines we will add are red. We can see that two red-and-blue triangles are formed, and by the [triangle inequality](https://en.wikipedia.org/wiki/Triangle_inequality) each red line is shorter than the two parts of the blue lines that make up the rest of the triangle." ] }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_tour([tour[4], tour[5]], 'r:'); plot_tour([tour[5], tour[0]], 'b:')\n", + "plot_tour([tour[0], tour[9]], 'r:'); plot_tour([tour[9], tour[4]], 'b:')\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "It is difficult to get nearest neighbors to avoid mistakes (like crossing an X), because in the middle of the tour, when the algorithm is forced to make a choice, it doesn't know where the rest of the tour will end up. So, rather than tackling the difficult task of *avoiding* the mistakes, the **iterative improvement strategy** says to go ahead and make mistakes, finish the tour, and then do the much easier task of *fixing* the mistakes. Why is it easier to fix the mistakes? Because we can see the whole tour, so we can propose a change and get a definitive answer: either the change makes the whole tour shorter or it doesn't. The strategy is called *iterative* because we do multiple improvements, if possible.\n", + "\n", + "The changes we propose will all consist of reversing segments; here is how we can check if reversing an arbitrary segment would be an improvement, and if it is, go ahead and do the reversal:" + ] + }, + { + "cell_type": "code", + "execution_count": 26, "metadata": {}, "outputs": [], "source": [ @@ -765,7 +857,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 27, "metadata": {}, "outputs": [], "source": [ @@ -794,7 +886,7 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 28, "metadata": {}, "outputs": [ { @@ -803,7 +895,7 @@ "[(1, 5), (0, 4), (2, 5), (1, 4), (0, 3), (3, 5), (2, 4), (1, 3), (0, 2)]" ] }, - "execution_count": 25, + "execution_count": 28, "metadata": {}, "output_type": "execute_result" } @@ -823,7 +915,7 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 29, "metadata": {}, "outputs": [], "source": [ @@ -837,16 +929,9 @@ " for start in sample(cities, k))" ] }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We can see that `improve_tour` does indeed fix the 10 cities problem:" - ] - }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 30, "metadata": {}, "outputs": [ { @@ -860,7 +945,7 @@ "data": { "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -871,112 +956,78 @@ "do(improve_nn_tsp, cities10)" ] }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The nearest neighbor algorithm on these 200 cities has a lot of X crossing mistakes, which `improve_tour` successfully uncrosses:" - ] - }, - { - "cell_type": "code", - "execution_count": 28, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "nn: 200 cities ⇒ tour length 11477 (in 0.007 sec)\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "do(nn_tsp, Cities(200))" - ] - }, - { - "cell_type": "code", - "execution_count": 29, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "improve_nn: 200 cities ⇒ tour length 9523 (in 0.118 sec)\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "do(improve_nn_tsp, Cities(200))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Can we do even better by improving several repetitions and taking the best?" - ] - }, - { - "cell_type": "code", - "execution_count": 30, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "rep_improve_nn: 200 cities ⇒ tour length 9396 (in 0.325 sec)\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "do(rep_improve_nn_tsp, Cities(200))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Yes we can! Note that `rep_improve_nn_tsp` takes a default value of *k*=5 repetitions. Could we do better still by trying more repetitions? Maybe, but there's a problem: `do` doesn't accept extra arguments. I could modify `do`, but instead I'll define a [higher-order function](https://en.wikipedia.org/wiki/Higher-order_function), `bind`, so that `bind(rep_improve_nn_tsp, 5)` creates a new function that calls `rep_improve_nn_tsp` with one extra argument (*k*) bound to 5. (My `bind` is similar to `functools.partial`, but does a better job with the function name of the newly created function.)" - ] - }, { "cell_type": "code", "execution_count": 31, "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "improve_nn: 1089 cities ⇒ tour length 45489 (in 2.668 sec)\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "do(improve_nn_tsp, USA)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Not bad! A single call to `improve_tour` fixes the `cities10` problem, and on the USA map, uncrosses every X and saves over 7000 miles of travel! Let's try repetitions:" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "rep_improve_nn: 1089 cities ⇒ tour length 44901 (in 15.133 sec)\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "do(rep_improve_nn_tsp, USA)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We saved another 600 miles! Could we do better still by trying more repetitions? Maybe, but there's a problem: `do` doesn't accept extra arguments, so I can't change *k* from the default value of 5. I could modify `do`, but instead I'll define a [higher-order function](https://en.wikipedia.org/wiki/Higher-order_function), `bind`, so that `bind(rep_improve_nn_tsp, 5)` creates a new function that calls `rep_improve_nn_tsp` with one extra argument (*k*) bound to 5. (My `bind` is similar to `functools.partial`, but does a better job with the function name of the newly created function.)" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, "outputs": [], "source": [ "@cache()\n", @@ -987,128 +1038,23 @@ " return newfn" ] }, - { - "cell_type": "code", - "execution_count": 32, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "rep_improve_nn, 200: 200 cities ⇒ tour length 9290 (in 15.438 sec)\n" - ] - }, - { - "data": { - "image/png": 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Iv42F+iU+EZ8Lb9IONjsCj4bxIGNoCvQBLgGmAncBbyiLw0OJn4yhF/Y67oESy8LhWqsZnNIXHm0E1RvZAdCvnTEDz4cha4CaQK2AUtb/1QB+g8OqJOQlLgZjaAYtWvsfIn+/GNY1zwXfdmPoBnQC9s/mOdK6t42pfkIXqo1+nvXbnk213z7jqGvgzuuNQcAtdsIvE48A1xrD/hJf2X9atiQh9wTWAdWMwUgo5rojxPSB0Oew1MIPRADX25IiW62m3sFMSjbngGD0BnQ0aJS3E30o6KAnS65DwrSPB293b14L+ho0ERu8fiT2uv59WJewAaBLPDNUF1A7UCvQrli3syplP9+daQJ7C24xfHBHLtvEQY2wWWIOD++ZhX7iXh0NPFPeq6BaKXC6GjSm8O8pj8GVa5MgS+zN2+1d91v47SrQR/0XQ49JccrWeeOLdG4v0AupC6zkC957GcyaBfoG1BdUM0KuodrHo74WnzSbOOhi0DK8pLVB8TeiyrQUYjsM6E3Q4Bjqqgp6DDQdtFs5n90O5iyGk96EXl/ALeug/YlJkCU2jn19130XYfv+DHog1jrdN7roDNZzcmrZ5IOc7U99l5hy5oEa25Wkjsr+WdGvlJOgEL3J737QrCh2SPG1o0CWl82E61dAy4wu2WQgPwO63K78R5wTFNvH8uu9LCmTdok2LCTH06GV077jQGNjrdNtg8teIdoVhVqDzgLdBnoeNBUG/hHlyjWNDjsWe21+xyjlkKuluMmrw0j4ZgLWJ7+ua2653Ffw3Lll5elMovmskLtmkMFN1lwp3uJueVyLScm5Eg8abP0XgeZ49rMZWBv3nVh/7oPgyOeTMkhBQ2DGh9Auq4iHSVgphysXP2XXbzXsmvjEzGW3y72CLI9DkqNWgqaA2rjmEWH7DDZ8QWypDx17pwS5Pv2yCjgTmCuxqeS3jPnyRuhzsLPT4GJo9m/oNgDePSKbiIfRJWl2Bb80YvfUhql/AXo4JJYlkuCuVx6HREetjNXNMO6k0hIyhmlAa4gn/aFjJR402L6dJgXnUyyMxRBObIfs0PgOuGv70j7Yc4dQoZRyughSNB26G8NG4FVgrFRGUJBEIgkKsjwOjl3eykZsSjyOkNIBKFDi70ZYRyHcbj3c2xezb0Nyt65u5RK05T9uNNYFbhxoDeg1rJtkbNvP7NpVs5nrMKT+702ftbD/K0VMeu2TaJ4DvQA6K566OrzgwvSFDUP8TFwydboST9aKOlMkYWWWRAStBiddI5u84O/GUAc4HjgZuNcYZmJX6K8C30hJvBCyZg3M/wNOeB7qNXQxZn3em7Xwpy7w8SlFV5wwppM0KTZeKSKylbg3no4AOtjSvrUj09c0bC7SWGDszJFHpjDmuXNgyjMwuEpxZTUml5IQR4JCe2T5E7QxVAWOBLphlfpmChX6x/I5G3EBYzgPOEPiFNdcCmBMu2HwXo/SC4nOw6VJiTLpGcM/gJkSQ0N4VgmlTUvgv8AEW464HN4+x8plIfA0sAkYNx+md4zq/TSGasAKoHYc4zZp1+5zCsawLZxzO1TrC5075O5uIhqkc1grm3ptLDDWGK7C2hRPBu4BWhjDW1iF/rbEL9EwTgndgDEO6/dB0PnDTomKM2Mn9XM6QJUuxnx5aNH3JJUDyHKU9pXAFBVJ4WfM1B+hTxu4uQU8CdyBt9BqDn3GRmUbl1hvDD8Ae0B6MeUzrNC9nSxXi+e7/oprHhW9gHYGXYa9HfkrNuTBFXFfGvHuLawGNXAtk+K8gs4fblkPGooNcVDJfjbaBODBHIPPv4L/78zWoJO9C2JfFOn7m7EhJspNnO21d17ctnHQi6BzYpGt6wGYqwW0h+cP2tQ1l62pYMOtnoYNKbwcm8fyL9gww5FesACdAPrItQxK8wpSgnd3BA0ETQP9BJ8/DRctcnEoGzzRdH3DFr//G/R7ukrbv+74nQ9Ag0B3x9H/eXNKBvAymT+KTcH1g2s+WxNkw62+DLxsDJWBdlizywigujH/s6OPl9gYcvUJNKWU5SDw7AJsaOchxrAnPDISHtrZjTtskMlnnyMLfy/5fzMmShybfd1OnA+mAb0jfP7/kFfimeE8oA7wD9dEtmbIhhX+yCt/toqKk4GbgeeNYSxWob8hsSKbuoyhkvfsI7NjHQ3KO3+QmGnMz6v8leUhRxnDEcBElR/qNkMEKdIPvUlxnc/B7E8/hlO3n6fU5Qsj9psv8BWPHq63gnGVsGyBoLrYwFeHuG5TvpTZTw1AF4BeBv0C+hB0HWiPdMeG/f+T34Ib1ybJ5zp9mQSZNC7+qtDkUtyGnop8Uqs7E5t4eHIuHtaizwyY8s+Ix18l7x5Encj71fXAiqOEOUiw8byHum5TvqTVZ9t59uzHPEX1HegeUHvYabeyg7Dl/oW0QjmUG3Buz+I2dA2FZ7qH9+4ExweKM3YQqDk2JG6NiMfdJNCRkfer64EVRwkraJG3QlkEqu26TfmS6VhQJdAhoMHYiJgb/MfGKe+AjoOzPnAd8Crc9qemLAsV+g0/V6T2F2nfKNDlEdfxGOiKqNtSIW3ipX1O6+6V6c2twmc1bgIt94f2N0knuvRTLsHL36827sA/uQJZm+8UrwwyZu4kqN62+KeqA3scClwLTf7kPuBVeEjVd19iJjDEmNkdofrRxf83d9tfBA8ATxnDo4rsHIBpZJmyLyW4nhHDn/38towXbIEZfrbALykjxVpSt9Llb4uTyTuJpfywru5DzyZZPrlasCFjPwN1jbCO9qD/Rt4W18IMX3BBg67TmuJKrdd8+PZTzw+1YXrPcjuAg3md8zHoYug1JYm8k1jyE2Im8um/Cf7WyTW37Num84gwCw+oNmhtWQvFMEqFMad4vtttoU0H/+1vta+h8/yifrTw9CLgNuBLYzgfas0pboKo2SLbrXQ0Zo3AeNK7A+2gdqMyXMk6Ax+oyPXkrRnlBWGrGEHaMod/+2//HI59xhiOlZjummMWeAG4xxhaS0wL++ESvxjDCmA3YE7Yzy9SkfsZMfWZzTfDfQts5vc51uvg4q/SXYWCOsGcJdB3VQkzzB/+ZpjUVrRRreIyNwFc/KV3Yr4aey24J6heeTJ23e/5krwCOhfratvaNZcs23EL6MkIn/8q6NRI2+BaiKkLw08hXrUB5q4APeR5HJhMFScc81JqZpjUlXBU5hjosg9csylTEwBoR9CFoFewPtQfgf4M/3fM1mw6iH885/Zkic19uwS0v2suWbShAehnssyTW8bz7wTdFmkbXAsxdWEEKcTDh5f+bPo+p8HxFU6emKn/avAze0wmizgfoH/Dl8+VxSsNV7LtQMeDHoVb1uVt6XGM5YpjZwd19xT5ga65ZNGGJ0C3RvTss0CjIuXvWoCpCyPaIDZRrJqDn3nTr95W9FnQ+aDGaQyK7qBZRHBRIZ+lKJ4SPC6OeSnqQ7Bo2qPTQEtBB7vmkiH/fbz3cdsInr03aHaU/HPoYDPqIDZR5CUMeuaYTnBXJaAzNh7Hg8awGHjPKx/IBnoCih6O7tocdj8QdjlLunStT4VZIp+lKB4EHUwfdjKwwRiWAD+WVSQ2lFVDnPcEJF42hj+AN42hq8SnUdQTFSS+MYavgbOAZ0J+/GxgZ2OoUfSdDhWuZ8HUZ7S44yuEY6e0z+zzLfSZHfRMUGVQG2zIzfFYt6QPQAPhyVOhZyxb74q0zU9yKWvX55m3mmN9jM8CDQDdB3reO7uYB9oIWgX6GvQO6CnsDdQ+oJPgkROtC228/QjqCloGOsy1jNPnPuoCuGFVFGcUoM9Bh0bG3bXw0hNGzWY2xnD3D3LpMAjrCXJmGp+v7tmp74/72nPhRNb7W7h6Ya7IOJeK/2R5/rzUD8xlQPVB+2FjwlyK9dB6HPSGVUZ+Y6b7eGyCDVOcS3gHrB6fZaB2ruWcXX+EN+nZMyxdEhl/1wLMQCC/gbZzzSNNzp+ADs/su27s1KA6WM+VfJyYSORbdNfXdyZMeTy8ZweNmetWYhNpLAW9DZP/AZcuDt8FVsd5iry9azmnxjfaS33ebuqhqPjnkE38fzGdqwK/ueaSJnYGFmX2VTd2aomfjWE8cArwnyjr2hpRNIaJMewE82YY07ke1KqTvQ07aMxMfAvoiR2PB8ATQ+DBIhfDwkkSIfGOMZyLTdzRXeKDTJ8VDwIvz4UVH2Ya9uwrElSK6sERoSrwm4RcE0kVXvaZRsDizJ4wfaA9DF3n/R3GgWvKGAGcG0M9WzlqbQt/E4w+DUYdbTPXdxtrDyczQfCY8RZviyReg1Uro1JeEmOBs4GXjOHo8j7vFgWTXlGEulCaBrT2bpWHD9dbmdS3JDWbQYeRMHBTjtnDdwItyb7t8cRaLsG9GvYihG9smXwJS85RuLeWP2biiA0E6uCZcBIbayUepwktATWJhL9rASZFyNFx1yGgz13zyIL/s6ArXfOoyMXduUc87xU2Dv9y0LGuZV22LNoOg3MmwS3roV7zkGXwLuiEKLjniDml1ZBCX2sotN21GuKSVYrIwh6eCORNKpGjTt2It/O+sDb3MZ2g64swaDN0Hg5jOoXtTy7xEfZsZZgxdAnz2WFBWrNAmnSeNKIdDJkPK3YMuYrIcm7miBKP/OAhSjTBXtDIVYwFWhjDbq6JVEQYQw+4qR5cvsDFuYdV2ON7weA/rBKL7ELQRKAb8IwxnBhFHSHiNeCkkJ85Ddg35GcCOZPtPui0nc2Q2e20GG+05fRKXGKTMbyIPaS6yzWfigRj6ADcDy06wsvrYJarcLcbgarGYKTonAYkPjGGk4DXjOESiVejqis7/GcKfPuEMbPbhagbvgb+HAK50nBti0rdXlXSdnfJYpizGL541l6USN2uF6eN3bMp93ItwyzbcDjoG7II2lVRS6aXZUB/8vy1OyajDbduhjMmxHFw7p0TLQWd4rrt/rKIInz0QXtYGZ8euoydCy094RY/bQftAJfP9j9hP+sD7ybbjdjM5k+CRoM+ghtXx3ULEjQOdIxr+WXZhkqgheR47Ojw5ZJp2GM1Ai0AnZ+rbci+Xh3oKfLTXcugOK+oPIWik3GOmFOKX44oCmMW/wDVdy/+r9WBnfcGDgVWASuBWd7PVfDDPVC9TenvRGJjz3WbOBJbjOE54BwIPwNK7iLowD34sowx1ABeB56SQg+2lAHSb0MYkPjCGI4D3jbmzUYwpG0yknoHnb917mEMZ2JNuKmUPwp/v2w3uH3HqGScM0o8GEH28k/elbjE7xvGzJsN69qU/k6lLWHayj3n/p1JsBJPvb0PTYClLxnz3WGw+MetKUVZMIJe+PYnGkNf4GWJpYUybrwz7NISek2C/QbHz9cP7pwGJL4y5qELYMHr8F7lIpE+DzOmVuheMqkhSJ+8PwLuuBCrM1MplQt/X/4PqF7C2yVEGbvevmS//Ul/q+L/nYsWwfjl0GdFWNuegvgjrmWUrexy2U8/WvkFbb3PnAAabi9KfTsJei8rLrueiZGd62TgrusvzSf8sR55bBbXgyg8waebycfPxt5pVJjCBrUCfeNaPtkOrqS9aEkpKaTB294q9OTKzvUEncREJGHfkM7bxFNAkL081e/YAEScCzceG/LW0rk93M9cAmsWAvvAfoem1t6c9tOPDIWZ4Df8C3Y7ED5+s6iZSWKDMZu3JFl2hW2o8RZQBaZOjtdUlrxEJJnok/KeZ2U8NxIX0gqhxDOBMVTDXj44HzgMeAVmfQLrOoc4oJz6iFsF3m1s8cxCN5wM8zbAbuug0ubUXqBlS5L2okG82WuCYF9QHgfOlPxe/OQpqZLw2vAU0Eji2nhrv+EDGHQ2DC5qE48rwFtsCHtiKPFw91u6+LZJqgQ6ynM3/Bn0NuhcULUotj2g20CD3bU3yAxy3Ojg9l61HnZtUaQN1eCbcXDl2iTZxF2bAUr082WgJ5LOs5w2nAt6PuY6jwUtg0e7ugjwVlHKVrESN4aW2DjKPYG12PjY+0gUWw1FsO3ZGfg8G+7ZIcgMUq0W+LV36U/wRBM47zpj2tWEJk1KBGA8AAAgAElEQVRh172g5yR4e3/47HZHNwp94MY1LgB1gJ/9/iPqrXSI+AmI1MRTfOe0ZRPcdzDs1k3q8zH0eT3KuisyKqwSN4a6wJlYc0kLbCCn04CvpOCrxSFve5qAy6vF5W/lS7bXmAsOgLqfwntVimxv94Ulm6VZcStHXxhDIziwXYJszTsQoMQh4q10CkjN7HSXgbUHGDNzXBSmKX/T3tU/wQuLYE1Y1WydcL0VCHl7VhV0MuglbGqxkaATQds44jMVtL87eWTifplcTxTQwaBnrCms36yk8AT9E9THtXwyHQP2Mz3nRhtPO/NxlUlog7Bzhya5OCeQ/eCQ8V7uh6x9TR9hr9vvkABuK0EN3HKo2Qw6vAADN6cymJPm8gXaBpv1fSL26v/1oLq2Xf1+ToKtGfQC6CzX482fW5DyvPBz0N2gJ+Ca76NPDpHZuArvHkjyziHCKjlrTjGGJtgt6vnAtsAzQFuJuU6JeTCG7bH7xhUueXieB2cDv8PgCyU2lf2NZHhTGEN9oDfQD5gL3A+MkQoiV675GeashrMnwTbbO7Y1B9rE3SPoXKRGA+BXYD78ehhUb1r6M2GapjIdV0FnH+seN4aAfAKdBibovCRy5JQS9+JOnIpV3AcBLwKXApOk5OTdtPa/dg/CgYIJzxrj+iCr1i5w9WaYNc6YHxaWreymD4Q+hxW3Xcbn8mUMrYGrsecXrwAnSXzp89E9YPdt4LWuCej7OsBqxxwCEKQ8P/tQsqGFjZlxJKxrFe3Enem4CpqEdj8EgpR4y9YJOi+JHq63AuVvw1QZdAzoP6DVoNdA3UHbuebmzzdZW7nMt6PxuXx5fXwqaALoR9At5ZmhQNeCHnPd3x6XuaCWrnmk3v+9l5a2iceRpq1mM+gyBm5an7ptO31bepLPdSLpY9cEgjtCe3s2ux9AX4CuIQcS9iZtACWNT4k+rgO6DhuWdRLo7FQPoT2F39V1GzwuK0H1XfMI5ld0Uj7xdZi7ghJJe+OauL0+X53653faDa7emP4i5IpE3WuIsjgzpwRcB1+HzSBzPtbHehhwgsTXrnimj6RdUU8aHzCGvYGrsH39OtBdYkoa368DHAi8Hw3D1GEMlYDaJNac4udGykDgX8ZwvGRNUfG5QdbfAa6oacz08fBTCtEwfzoGZk6HY7+Dhin62a+pDPN+gxNeg3oNE+ybHw7crQxKbt+uXAvzfgENw97kqux6hsusbcla+SaFD/a27InYrN9LQLeDdsrwWWeDXnPd1x6X2qA1rnmkyXkb0GegS+OtNz2zjfVC0lLSdNP1PNXuci3n2OTqpNJAxXJUrNd+o2mb30C9YGGybOIX/RBflDrVAl0Fmu0pjp6gbbN85nBQb9d97XFpBlromkcGvPcBLQftGl+d6S0oQI+AHk6zXXVAq0CNXcs4ruLInBK0xa+7o9+ncwmlr1nvUBv+/Cv8e2Ey+FQx8Nc/wZOheHQE3Qb0Qh1cgQ118B7QC/hEys6TxBiqAF2A67PlHhIS7F4YDIlvjOFvwFPG0FliSxT1FB8f9f+UqmnPGA4ETgf2TrPKy4DXVCKkRkWGIyWeDF/kqFAizO02wJdYl7lRrvl4nAZgM44fLvFrps8NuEp9tDEzvoM/7Qv8C2gthRrJsS2wUEpMtqScVOIe7sO67PYBHgn74aXHxyBSee+9c4Z/ALdIrEq9PqoCVwInZMs9p+Bi+e+/xe+/CV652PXWJJr26kjPy6aGay4eHwN6HPR6NmcPwdvj8z4BbR8R93tAd7iWYRE+p4Fecc0jC/57emaV3cJ/dsnxsUDQX+VnklIv0KegSmm2pSdorGuZxl2crMT9I7td/BKc8oQxfC7xlQteUUHiQ2MYD9xKAswAEjKGy4G3gXuBAel838sdui8c0NZ/e7xug8SGcNiWQlesaSYpyOWVOBIzjeFu4N/GcLRCNauUNJvuir3H1XUp1Jnh5zViDLWBvwInp8KluLmm5f5wyABrhdmK4HoWKTGTngn6PlOvhSQXUENvxdPKNZcinOqAZoIuS+Gz24GO9w6bvgfNg77fxen5AmoBWpzuCi06+dVsZmOQXPl9LgdZwl62+hh0dbjPDdqpXbsYdEQAlwcJiM3uL//kXKxz1n+uCfh04kDQFLxEDRWpgPqBPgAZ11yKcGoJc5fD6WNLRnwDNQZdAhoDWgP6EBuAam9rkonzpl/bYdBnFlw+2+/5cUetq2gKxI4DrQDtEa2Mes6BsdfbRYDeBx1R2HfnTYaBG6DXAak9Pxnus66LcwI+g8lgw42OSsqKK8S2VS5ws3PNpZBTzWZw0aLiL1qflTBzmueq9Rw260vd4O9Hd9Mv9VCq8SrUiqhAQFdio0WGdkcjaHxgfdUvgjnf22xS6fdd0iJuOus31wQCBtO22JCyd7vmEkHb2ngmAeehci2fIGV06rs4isOeGr+T3wIdasvJb8WtUCuiAgFVgm8/sSaiuHY0hw/PPM540Ng4d2KSdrtRl0RGMZT4zRhOBSYbwyyJf7vmFBYkPjWGMdgIbFe45hPss08VlRu2Ng4E8durHfCQ/XuvveIPLVAR3WRr7QKn7wT/2LVIpMHDjKnVKbor6w13yrzv/CIjXrUIbqsNjDeGflBrvetk2pHD9SxSzspgL2yih6NccwnmmEnWEdXFXj0/yD3/ZJsFUuHnog3wl6Og/+aKYhN3J8fs6vQz13hmy8th7krom4jEIZH2m2sC5XeSOmHjJyQu1Gc2tljQhTDzK7uddJdCKukHdMm1iWs0TPxrRcrS7sJEFEXfFSr2jsuSvEAJTYauCaTWKeoNmgXn7JekvHnZ5Q2s1xyu2pAE5Rl3/PAo+BV+pt8cm38zUgV+jOddkciY9pm3y82uLMzxV3xSuNVnQlJOn1v4ttk1gdQ7Z8rjmZ5iR8cp85VL0s0YuVpATbDxvaO6MVoZNA10uuu2ht+28hNIJL0Uf69u19bwjlUK18IeJa6pDndtXzpvXquAFE3RwsZ3aNjYHqYURaqHW8mL810RIBun5TOgW0RVXAKsAl6O6PnOYA/8xnSCzsPhtPHQ4x24fhOsWeyaW+oo+l5dANxG4Tsab6rBuJBI7xR/ZHOKHS68oFZPwlVroN98eKR54en4lT+kNki2qVzxvBsSg/9gr+Y/H+ZDvSvhd0BhMoWKBp9gaa9iIwM+5IpTeijqNbQrNh7WX4GvlsLKsRXRO8XYLUjyYUy7YfBeD9s5C4GngU3AuPkwvWNcHeNlsR+JnQDPgFo72t1Ao8ZQbVu4vRHsvr8CogMaQ2VgCMztCXcJHmpSPHHsmKzcuYJCw2b6vFyEMVQDFgGtFGJIUmO4F6gjcUlYz0w6vMTV7wAtJda65lMe/CNr9p0LoyN0k3QM1/ac1G1dBfa6GYJr5cI2jk1wMAE0AlQ14DP/BL3gd9kAVB/0HmgsqEHYB4pJ9zSJd7zoCdD1IT6v4Fp64vO8RiDLEaCbXfNInW/R92rAj/DB7a45RVlyZiUO/1tljoP3mpc2Q3QeLk0KNUdg8VXtzyvhsb1gj4+AKxQQYc0YtgMmwoevw40tClfEF4yE3kOxW/yBEpvD5GrrLrpbKUA0skk6jKE98E/sajyjQV68/3dpCd2HS+1uDJVoDsBL8DEJ2EPKrYiNxtAKGAfspTRik+cUXM8i6c+y8fiy+q9q+65KzQd8UPvSF0H6b4ZXy40WGI1sLp8Par01XUXGxuCZAzo4vP7vOXdr3NV48nycHM1bCXoU9KBrHlGVHPJOKUDBwUVRRHEg2GpIoV0N7M9766TmDTO2DwyuXPy7gyvD3UeEy7EkgmSzeT3wKvCdMQwxhtZeTHCMqdXMmHbDjDl9nP1Zq1m0HOOBhLAHnBdk9gS//n90N1feUAnAYOAyY2jkmkgGuA04zxj2cE0kCuSgEp8+EK5ZEr3bUDYugK7cB6cPtLIoKZsRJwLNsfkut+V/Cv3ToXDGh9YEM+po+7Pb2IqiyIFngbOMYdv0v5p3AS0KiR+wk+LNrrmkC4llwD3YBCgVDjnkYmhhswJ9PQX6NoS16/yyg4SDbAIcuQmOVJgxyTwP9XaByeNKyOZT4FNjuB44GJ56GoY2Le17P3cIRdzMchUSC4xhOjYbUJr5TYP6cOWy0AjmHu7G7ubuk3CS+DsL/B3oYwwdJca5JhMqXNtzMrBvVQf9AqofbT3ZxEVx6yWCzTWYwtX/IBv6hVPtzcR4Ey1EI4t3r4Vrfki3Df59ePkamD0PdIjrdrmTp/4Ceso1jwy5nwGaSojx0pNQcm4ljl1VfSKxIspKCle1c/4Ou58EPy2HVV+n992iOURj9df+DVIxIQStNus3hrkLocd28Ld68YUlDRfWLHRKP3i0CVRvkk4bgvoQ/nEI8LoxPASNn4Nmf9nKfPLvA2Ybw14S37kmkyZGYZN8XgA86ZZKiHA9i2Qwm74MujCeunLT7xrUDfRqNu2Dk970jzvRZUyurGSiik9j47PMmJiUAGYOxtcNoBdc88iQ+yGgn0A1/f/ff/eZ5F2pcwJpdkAtbK7HOvHUl5tBqkBdQO+k9tmg9FlBppabNoDWe9vS50CDQKdj826WmQkozhcBtCdcuzwqd1RoFzQ25uWSAshQttU9RXigay6Z8Z86Ci792r+ffBc17ZO8mHNOIM3B0zOVFWZ49eVeCi47EE97D/78czYKo6wJzHuJDwSdB7oLNBo0C7QB9A3oRdAdoLNA+4K2jS+psnYEPQxaDhd+EdUkHDw2bskpBZCFnC8HvemaR/q8azaDXvP9d59BY77D4iQv5pwTSHPgvA7qEV99ubUSD1NRZvIs0HbYS0VnewdgL4FmWOV+0y/+sjz+VWw4grRNNMVXuEc+B5PuxV6NfxBUL8qJI3hs3F7i707Lc2kMpd5+VQXNBx3hmks4/TZwIwza4j8xn7MpyYs55wTSGDR1sV4pvrasaOr0UwL9N8Nz57iWhz/fcCedsGK72Be+x3/9X4Sb1mHjf2+2q2fNAH0IGgV6DDQEdDXoXNCxoANATeCgPUr3zRW/wu1HRtGG1MbGtYIFJdp39sYkK4DsZKBe2ITmOXMTOHgHdeaH0H5EsIksuROxcwJpDJiLQaPir7ekEhh2Fjbv50muZVKaa3LNP+VNMKAqWFPIPqAOWHewvqBbQQ9h7e9jQV+BfoTb/nD9YpUYG/NscLZSfAIUwGXfgOq67pfs2q/K3qTbxTWXMMZh3iYe/YB5F9TdNQ+PSxtsouOzXXMpzuvw4a4VWzC3cE0bSZuw0lMAvebDlyO8nccNoGq5eviJPdT+AlTJNZcwxmHwQX/NZnDmBHtYnqz+cU4gxYGyI2g1qJprLkU47WtXhLrENRePT1X4+g24MlEp7IpzDDOXYvLOK8pWAH7/rj1BL8GcxdB7WVL7rZxxZ0Cfgc5wzSXqcejtDl9yzb8UL9cEUhReX9Bzrnn48GoJWgDq75jH9qA3QKOtrTi5SY/Da3Nu+vD7t+Xkt5I2IaXHX8eBvgVVcc0l4naeCxrhmkfJkis3Ns8CHnBNoiQkZhvDkcBYY6gJDJbiTdvl1fsq8BNwgfTZJipA3JPykIBbsSGiyrY5HmzrXWAZdtw97ZZKpKgK/O6aREkkXokbQ2OgNfC2ay5+kPjeU+TvArWM4c9xKXJjqAu8BXwF9JP4I456k4KS+SBzF24CpoUFCRnDLTD3OWMuOBZ2bFRBwxBsSwKVeC6Eou0OvCbxm2siQZBYAnQAjgAe8/JoRgpjaAiMBz4C+mxtCrxiwS+E8M0b4dFtjUn+Qsui1iL4e114+5wKGtYYEroSzwUlfhY2MXGiIZv6qROwB/CMMWwTVV3G0BT4EHgZ4lv55xEN7Gp1TCfoPBxOG29/TjsQ9qsOvOIlfk44Wg2Bu6sVD2t8cwtoNS6KhCOOkplUheQtJhOdY9MYdgU+BxpLyZsB/WAM2wMvAZuBsyQ2hvz83YH3gH9I3Bfms/NIFryFwFNAM+BkJTi/pTGnj7Mr8AIsBIYCd1AkCuZcO1lBYe7S9M0u/hnt7bOjMt/YOs98BbavA59/nCRTUdKV+J+xyVkvdc0lHRhDVWAYUBc4RWJt5s8qmqx34zp46GBocZvE42HxzSO5MIZK2PCvnYDjJBJpJy+dpPsO4DpK2/nbj4ZW+xZXwJcvgL0uhhvXArW9UqvI7yX+vv4AuK1eXAnBXUwa6SDp9razgJzLLi7xuzGcAzwBvGMMJ0qsDvp8cUVduDLxHzz9l8Lz78KaeBqTh1NIbDGGAcANwERjOE5ilmtepTF9IPQ5rHCsbqK4kl2IdVypcwI8VrW42eXhZnDnK8Bs4JcSZQ2wqPjfS++E6vWK1x+lN49fvtXkZMBKrBL3zAZNgQmOqWQEiT+M4RKsa+R4Yy69BL7pn5qitokL/AfPAw1heiIGT64gaJJ0zStVeGcefzWGFcAHxtBV4nPXvIrCx+WzGaxrbsdsUdPKlqr+7pTffS7RMZW6jJndE9YdVHolvu6XEJpSpJ6CcdPohES7gLp2VC/Dsf4W0MOueYTQDgOTh8I1v6cX/vLaxXBLoqOn5ULJ9FJQUq/Bg07Bxu7p6JpL6nK/XYXyL/q7ivRJ6heb/Pv0suUwdxno8Gj5Z8Y5Ulm7JhAsRE0DHemaRzhtKSvoTmCey6/gmJeSPHhyoQTL/qjnsaFzS8X8SPptUNBRniJP9FX3ItfbVxXKfoFstMfsZOt3dR50vCeX87LnXjQOUTicI5OzawL+nXP8q3DzbzZ7SjIElV2bgoM1ZRhVLedlEo/cZaDX5/6yH7gZVBAmdjM2W9FqqwRuWZf0yRO0PzZ2Tx/XXMrnWnKMLxAMFHRdEvYuB9QKG+d8sN8EXc53d8SG1x1Zehe8wFuRn7oqSTszybES99myJjrkY+btTFdR91tdXvCkfClL3qoPGmDjedy4upwQuAYbBrc6qA6oIZw9MRfMWKAWoLnYcL2Jjekd92LEU8YTQS9A+72CzGKgSqCDPflN9ibxUaCLoNOopE/k/2tHsjq2x/qAmMyJE1z2bQ0Kf3nUSJg1G9TXNe9cKt4LeQzoee9lfAbUPrMMRUGT7uHDXbfTp92NsDHW/5HuyjNenvEuRqypbOorcPXG4n1//jx4rQ/oKdBi0Heg+0AdQVWL882NBaXDTk0lvVVBSdYKKLP21mxmDysv+LK8QQzaHRuvPNGHV/HLzy8LuRqBbgTNwZ6jXEmJRNrpKhD/F/jKdTBtNBmkkYteNqoNmuBNYFVd80lKCdYxA370xkmL1MZcsnfBDl0Md2rs77azqcS/5U4goLJgXbDYAHSXmFP2Z5nj+Zk/ZwyHS8yNh2Uy4e+GeXVHY6ZPhVaHYcMP9AA+lUqHIEg3UJZ/hMTf/wIPPQr80xh6S2wJpXEhQOIXY+gCPAe8bkzna2DdzbnqUhkegnTM/JkSQ8v7ds4EWEveLNlpTS5sYdJvr7YB/ZbOSgnUB5v+qpZr/m5lFzRWek6OUzagGp6t9e9JtEFb2/6Xz5U2IVSMdyi8cZPb5tmSxWEALL/IbX3mwuQTigcCSsbV1hDQFFiiNGLASDwGjIMZo41pPzzmYD8JQtCKau06Kb6rq7LhE04A2gN3xlVvqpDYDP3+gDu3LX27sNUQl9zcIEjHTB/oklXYcGZOKdyy1p0A69fCN18V2fZ97IpXhGgOzEv/a3s8CMdPg3e2L3mjs4JMbikgKN72HgcYw23YgGMzpOijOcqaLo4DJhjDWom7oq4zPQRNeAm5XRgjKlbikGA4vXbv2YnfAL5TCjaqbGBXry0egB3aQk1g6Sfwbf8YO3Q3YH76X6t/O9y1fVLjNsSDknE5ClZUnW7ArorfAtYbw0tYhT41SoUuscIYOmOvwK+XeDCqutJH0IS3cpkjQk6RJLt2ZOEfXNtzQLeBBkdbR81mcMoC6K/itsJzF8RhK7T1954O/eame8qdtKzu7sZJsKcA1te7Dege0DzPU+Wvng+w8X9O9tfpQbtgc6xe6lo+xdtX0rPm8jUwew5o/6SGE6joJUqXxQQ0Tn1Bj0VbR9th9oaY3yFH/0Wg4Z6f7RDQtaCLQad5vqMHgJqDdsjEDzfbzttaDmdCHE8GdCDoLtAsT8neB2oL9Zqn0xepKDzPHXQRqIfrtpfmXexK+rkwd6WNMZI/9Iy/T6J7j5MQxXAZsGO0VezU2CYx8rMVrl6J3Y7XAXYAdgb2KfJ30Z81jGENsBr4ObWf7W/MLoxlkCmhYh3OhAUJAV8AX9i8j7QCzgD+BX2awU3VUumLsqJLFt0Cy7qDHgu875lWXom6jeUhwISwwJh+Z8Koblu3aS5eGEMj4CRo1yWqs4qtRImvXAZb8LcVfve1xLBUnuLlzqxNaeVe9Gfj4n/v3zqbzit+ONNyL9i5ZQXy2IkUnkL/2iu3GbPgv1D90OKfqg4cdYoxfEyxONbnHAH3pzT5SswwhhOAt41hg5TMpN5QvVb+0DNaGIMB/gScDHQD9gTehp++g3WHR5EMOwlKfDmRK/H7N8Dff4VBNWEwhSur3gvTWdHKJiNe5ZWUYMyEYbCuRzadV7Cy8gbIDLhrZ2BBqt/PowDz5sC6Q0v3xdcTgP+jWCaZKsemo/AkvjSGU4AxxnCmlMQ4+EGHnssWOyKUUwhO3kIV7AH7yV7ZBngVGAh8KPG7MZ1OhUGHwuAqoe+o3duKVBf0c4TPPwS0BM7bH/Z/BTossdHT2rwS36FmeAcaoOtBT7rut1ws6fRFpjZM0NHYcKiHuW5vau2/ch189zmolAzypTzZXboYpr4MWgn6DBtIaz+/i2Cg9+H9G6O4xp8A4agSaFM6NxnTeHYV0Jegnu4HQDidB9oJ9DOohuu+y8WSal/Yz13+SyaTL+gE0FLQ/q7bW3776zX3DvOXgbq75pfUEjypnz8Z1KSc8dDR85jaJgpuiUiUbAw/AYdI/BjO8wq2PfsdCtVrwONtK5IN2RheA0ZJPO2aSwFyPQVaSRhDHZi/AC55F2rXS/eiiDGcDvwD6CjxbZRcw4AxHIyNvTIBuFpivVtGyYIxp4+DUUeX/p/TxksvB6aV80ygE4GHJYZHwS0JNnEotItnrcT9vQqWjq1gNxyfAvpDMpR4qp4c2T0/9gmiFzR/Q3r/3Ey+LDHKGLYH3jWGDkp4EDOJz4zhQOBh4DNjOFtimmteycGKpf7nCeWebZ2APWd5Pipmzrcp3nbjPdBx0W57Ko5fNaiqt/1t6ZpL1DJ3EdfZ8zX/DtQ+hGddhs0009R1P6XBuSdoOehyP/vu1lbseJj6kr00lU5celXyzLmnRckvKSvxZUCDcB5V8WNHSPxuzOdj4J8vG7NyuXvzRZDMj+xmDAOA4RJLU11Re1vQHYEWcPK92fnZZ4SjsTGRJ2b7IIl/GkM1rB/5kRJLsmYXMSSeNYb/Ys0rnY3hYomVrvgkwFR3MbTeC745FDrfkkYcltOBPyDauwNJUuIhuRkGuVHlfkzyAthBfcZxMLRpMoJibb+dv8xn/xdoDdxqzIwv4Oy94YFGhZyvaG/Mi4Ogew2gRZGyG7ARmAs77upgUu4HPCKFE39F4gFjqAG855lWnCnEVCEx2xjaAXcBXxnDeRIflPe9sBVu1Ka68utnf+Bu4Ehp/LekuHDw7pT8Begf1jgKhOutirftuAn013CelTtplTJvYzTmi0ziaoAuhDmL4YKFwennVAN6TPTnfO1i0OOgG0DdvSvztaNuaxntaQxaBaoZ8nMNNp7LZ0XblwsF1AX0E+gOUJWyx0+o7rSVXOa6xGZMmg06J4Pv9gJ9FIc5yvkA8Rp8Ceip8J5XsxlcvxJ6TqmIQX6iCIqVWS5KXYiNG7JHea57mXL253XFmgiT7N4GejSiZxvQUNDHoOqux1Ga3BuB3vUU0y7+nwmccOcFu3Jqe9DeoK6gq7EJN14HfQvaALf8FvZYT6OvRoEeyeC7Vb1zkCPj6JsKaE4pQKUqsOWPcJ+ZFERhMmo1JB3bszFciL3+2lFiFjY3Qxlbzcw4l44JvXIp/Ks1DD0BeCSNBpYL7+bdpViPgtAhIWO4GvgXMNoYTpLYGEVdYUNiiZcC7jpgijH0hVpfFDed7NDS3/TVsTns/ZExb98LXWpRaDJrAdQHvgfmemUeMM77fT6M+6f/jeeVSyNtMFwN7AJk4p10MTBL4sNwKQXA9QzvzVyHgSaH86ytwZzi18ZrfocLD8z8mUEr5ctmguoXN7X0mGRNKNrDRb9gIwcuAx0a8jg8FfRx9P2nytikxq8R0QWQiPm3gdkLoV+Jy1AXbIEZPivx272fVy3wTEqXYi/A7Eo5iaeDQ+vOnA7aNaL2tcVe1mqewXe3B/0IOiS2/nA9ILyG7waaH86zKr6LoW1nSfPF5KGgz8kw52Sw3K6aD/N+gSvXlnhhF6argEO+udoNtBBUP8Rx+B7o3Hj6T9uAXgWNLE+RJbHAUc+nliP3WsGCrEwgAaF1+4MWh22ysAsWfQ86KcPvDwC9EmtfuB4MXsNrgNaF86ytM4mCZ8N7BDQBtH363w9eKQe/sG4nRtD/gd7JRgkWKohzP4GBG2C/lHcXIfDfztqZv3oB2uVUoobg9+zkidYGfou3Al8Q2XgBHeutmPtkk+yiyHfHw4Af4dOMzkRANUFLQK1i7QvXg8FrvLGHGNkf9mwtK/EAOVYCjfBWeGlv0wsH8+njYeBGGNTe/nsyJ0ZsbJwJoNsz+7570xt02Buu2pBr5r+y3rM45QpqCbNmlzbtpBrnxo9rz0zNfANBw2PvC9eDoYgAFhJCJLUkvJiO5bgN6A3Qs2SQiajIcx4GDbS/J3dixHpN/Agv9krfPdJ9u5LAITPeZb9nYZrOyueS+U4xLPmD6mBvue4ed18kxTsFCj1UFmTzkEJvhoafwMolMPObXA/GlA4kNhlDd+Ad4EFjuFrK6LLBs8DTxnBnkrMLSSwx5kOGkRIAABJgSURBVNlr4Mvn4L3K6V0IScLt3iRwSB/lZZKPN0FxvR0zl2Fo8v8zMFpiTprfyxpJVOJZwwvU/l9gmMSoMJ6ZS5BYbwwnAeOB24DbM3jMZOz4OFhaM6WsF9Y9Hu1WqMAh9av5SbjdmwQOmSE5meQzk6Ex1IYmzbOVvzE0BC4DDkidc4hwvS0r3HpdMRd6fxvW1gv0NOhC121zK1c1xCYLvjrD798O+rvrdpTPM8hmf/7nZZmUsokZHh73ZJr/0jkozOZQ0ZUMsW6E8+CLZ6Dn3GzkD3oQ9JCzvnI5UDLvgJSykP8ddI3r9rkuWF/c70G9Mvju7t7pf6J9mYPtmjeswl4XHwo6ssCLpXD89JwCV2yAw1+Lw3YbzL+Azw1r4KQ3k6HAU82AlIxJCLq2gls3lZ/sQ5VBgzwvkm7F5Z/+GAA1xYZpaOSsv1wOFiuEoBewwwt+q6hUBw1oMOg21+1LQgHtBVoMY3pnEBvlE9AJrttQNsey3CO1p+c1MNUq9M+fhosWuVY6AbJ+HdTVPY+gd/Lkt7BxVM4G9QHdCL2nJ+FglhTumoB2AX0Ieh+0c0j1Pk5IcZ8yLQmwiQcdLLQ/FfjNGFZhk0Z4ped+cE+Z18O9KH8nQI0GxnzWMln22/gh8Z0xj10Ks0anf/jHMKxc34yDayYo75ANGAIMMYY94ZGR8NDOMYe2TRVLgJ1cErBhgFsEXJ/fqx1ggNWFpcp2CTmYbQCsCPpPYzgDG6bhPuBvsknPs4Ix7A6cBuyR7bOyQQKUeNChxPsjYfBF2NgK9bGd1AC27F/WoCkMXTm0wJOih9swrUnBM2dndvjHSOBOY6gp8WvkNDNEKodsEjON+XlVQpSOH5YAjaKswC9ULKz5CTgKm6n9JGhaz/+d/Og1qbiMjfmyCaxrkYCD2QbYhV4xGEN14O9AB+BEiSkh1nkb8JDEqhCfmT7cb93Ss6mV59eZq3630cs58ws72MtDvVy3IRw5JHd8gK4APRzd830jQv5qwyroE2xI6FbZ28QvWx6/TVwXgP5T4t8OBM30nBzCDi28j3delFGYi1C5uCZQOBBSO1go/5JBMm8Xui5w3OjML0ToTNB7rtsQ3lhzfxAXIOczQKOie37QBHbMS/5ySuedLPjssa/AhBVwxvtxequA/gz6m/d7JdC12Ms3accCT7G+UaDrXI8ZKRE28dS2wkU/W2j/3K8NVKkMY4qYSnLX7zYq2Cwjf28C166A++pncGHnNeAxY2gskdNyTMF+7hKLidScEnT+VKtuyU+m+05S7DzqmY/h6Y5xZeKxdZ57AVTe1piZzWBoA9h7G6CNxPzw6+Mg4DDcn6FYuJ5FspwNG4F+BlUrviooudLqsyIJK6345VOwQuo3B65dArXbZ+FK9WRSVh4VtYBagOZF9/xjXoralBR/Jia/973vKti1RYT99Baon+vx8j8+rgmEINB3QWeW7tgCZdX5ZZi7ErSfa67xyiXsVFkjzrF+17kTaS/XCjaa53oiSOkFMjD9XavgojMlxW3OdJC+rz02a09V1+OloCTCnJIlRmCzb7xQ8A8lt4LG0At4xhjaSPwWO0MnSC9TT1nwPH4Gw2N1oPrR7hMzV0xIrDWGP4CaeKmSQkRP2KchTDoMOt8anSkpbnNm9LFninv07LYPHHev1On3sJ6fNVzPIiHMjLVAv4DqlvEZAxoDutM13/jkEt6KKLxIb26vZ+dCwSbmDTWmOfZW4bI4dqNxHxxHvRIPM1RtVCXnV+ISa4zhXeB04ImAz8gYLgO+MoZXJSbHStIJwlwRBa12Dj/eGP6FzZH4PbDQ+7lIJXY8hf77xSIh5lfzpVFwuDkrm4cUXz022wvO+I/UdmooDMtA4cFxzbdBlWHq5GgPjqOOsOm3o320BcxJwuUwIBGXfULBCOAqApQ4gGyi1yuxZpUDJNbHxs4Jpg+Ea4/L0BulBIImhAVfAZ9iE8p29H7uCjT2btp+X1hOOxIeDsW8U8GR9a1N/wmz76nGHPdwHBOmF0V0OvCixMjo64rS2yj5oYIrihJ/E/iXMTSRWBT0IYkXjeE04E6gf2zsHMAO7qnjoe8usHZ9doM7aLXzzsVS6fjv1qWRRlil7pXajZL+MiQEIdzaDFo9LvwrcDb439wMWcHvDPwY4vMCEW1I3OS7LFcIJS7xmzG8gh2gfyvn41cA04xhjMSEyMk5xX4t4JnLJf6bzVPSXe3IxqX40SufABgzZT8bAiG5L0NCEIISD1o9HnmGMYyDiZPhjB4wtGmEpq3YlHjYKD7B7dIYbtgE/7dN0hKi/A+ujfLhHXCoI+iLFD97oucmFOpV3CQVbP7J9aAarrlYPsm9KZmkAroI9O/snhF02Hfk86Cu0HdmtIeBqgT6HbSta3mmz91vnJ76PbR5xWW44rJKJVeTRwT4AGhoDHuX90GJN4D3KX/VnsvYA/hRYq1rIlCw5R3TCW6aD71nQOfhxW/a5uFhMVlHMpw+0K4W13l/F6wev7xR4nVY+mPEpq0dgV+Uk+68fqaoZ5tC5XXSyx2lSeclbcxWCHMK2C28MTyP9RkflMJXBmDNKl0k3o6WnRPsB0TujZAOvAOv0djJ5T7XfBKKrM0p5Zu/orPzWlNEh0fgT9sZ8+GwBIU0SBHJP8gsiQqjxD2MAF4whlulspMDy7omXgRzhxlzycdQt35EBzyu0JqEKXEPywkpl2oFRSjhaMs+7PM7qB70B1z1RjZ1+njF5GAY6OQfZJaCa3tOuPYsGdB3oENTt3/1W10R7bSgN/HSTyWpgC4GPeWaR1KLd5axCS+VXHT1lIxSOOIcmLscuozJ9DJWksP8pieX3Dq7qVArcQkZwwigB6RyoafVELindgX1XU7qSnwZ+ZV4ICQ2ez72DbCr8ojqKRmaolYzOEfw0smZe6zknimiJIqboo7oCrM/hbG9k7yTqFBK3MMIYKIxDJDYXPZHc3/Q+cEY6mHjbyx0zcUHeSVePgoONyNT4qXRagjc3yC7BU0OmiJ8UDDBGcN/gAnyuQuRJFQk7xQAJOYAC7A3CMtBwaAritwbdD5oDUyTyj4XcIS8Tbx8RJ6mrTSCFjQNmqf+jFmDYODvpb1iEuRTnR7mALu7JlEeKpwS91BgUikHfq5YAzdB03si5BYH9gOmuSYRgPxKvHw4UOJBC5r1+1pTSypYsZ/1Qe88HE4bXwHcSOeSA0rcWGN+xYIxNAK+BRpLbCj7swW3swpcsYZuhINaAF2UY36uhW05tCOs/B5Gn520F8hmU2cd0EAqpTXyAIzhr1g/67vjq7NWMzhxGvyrZqFN/DbgYuDi4dKkMk0qXr9+Ctwt8XLkhGOAMbQBHpE42DWXslARbeLIBruaAnQFXiz7s6Vij1f2vvMvYzg/oSaJUvBx79oJNDZ57l21doUrt8D894xZMK8CuXSGiSXAbnFVZgy1YM3BcPFG+FtN2ILdpF+JjWeW0hlRZ6AaMDpCqnFjDrC7MZhE6wHX7jHRuQrpAtDoDL9bDZv9e7DrdqTOOfnuXbnovuVGTjoL9ELEdbQE9Qe9D/oV9Bb0+jSLZNofgnq4ll0EcvoZVN81j7JKRbWJAyd9xv+3d+YxVlV3HP/8EFwyZRoRi2gpCgqR4B8FF8BMOq1BglEYJCEzdSEuaUajov84GiakscSatmqKqJGmdQkT0QkqcUOpGFQUNa51YxAUFHFD67NE4zK//nHuOG+5l3nvzbvv3nP5fZKTuXnbPXPfed97zu/8FpacJrLgKZEZK8u364G6NLVzgDYXEOQDPnjaRFUbmrw0yV6lkKps4iKNR7qxPn998ZgXYX8RfifCDSJsxqWpOBZYBoxWZTbctyA8XH/vG5MiNOESXsWadrbeuOvX8SMsXFuphtSTTJpTAtPCA9AxDBqaqvF5VeUzEU4DnhLp/h5unBVj2s4aEOXe9fWXCXUoBB9uNKmgYhEPzyF+8QyRx5fDqdNw5o4twENAG/CKaqGJYBC5uRcD1+mALr3+0H89lxwCDYfAnqmpjT5NeikQzxKodqYFuGM+XPFD2k0A4aaK9t0uCk/nJd0/18e5a9Nu8klDA/05aK6y90SN+UXbQc8DPSymvh4P+oGPGQuru57RYzWp8oOZnIlHz/h+O1+Ew4FtOPehrX3HqkTMWG+bB+v2KzUB9NwoMmNPWmbnUbMouPUwoCtYVVyudfQIKczLLL1wxVRYtAv+Pjq1uZnTQQ4YJkJD+d9X1JjfsVWV22vcv3wWA39Vzzy5Bibqev5mnggPA+/htGObOz7jR7f6r3/5wYyKeJRp4aXHgOXA+KAt6DsOqoz/JOr9x2OPCv8yx8yCOw9KU73IiKRH74vwa+Am4GURfq/KS3H3JXx5f9lO6G6Ft9rjq7buP6qoyE+1NreW967cl/WOlhRhMjCdsmIyfCNKQ15fD6zAeQ+NA5rd3ykT4cqhiaTwSHrZEs9SqDIviCBx1kjQk0DbQDtB/wW6ARbvCV9WdXpnFgBtxVU9vxJ0SLznSr+3TJob6LOgJ5f52hHQsxnaP6+n2Q+0C/SqpK9VPP9bpRpy5vrCsd7X5myMu6+ZnIlXUU5Mgc+DVpA4S2TZkbDjCbh1XN6G0Q9wTdG1S/8GnSqrRHgOWAnMCvzgYyqhZZuYg6SszU0RfgY8Asesga5b4LWYCgaXnPdo4FTgojg+P2kq3+SNmrm7iNc4V5uZFHEYKJ9yZZ8j0ngKvJv3ZX7TACNbCl/pR84VVbaL0AxcjTOvtKtyf+3PlI1kSAkyoIiLcAAuuOY/QIdqTol56V4YFfy/XXDPCMjl4jxnUlSmIW90wh9aYEVDYcTrsuFwQawmlcyKeC0JT9vZflxp9Xc/NujUFTJeKsK/iW3TM6zwQEfOl2uUAj5mL2XaRBgK3A18AbQHq8lYCY8K/jaFUcH1I1gJzYPcQrj0AFfxsaqI16oxEa+CQfjTpgpVNsW16Vl6jXZ/Cv+cBsunQrpTe6aEXcBJYU+IMAT4B05J5wQ35ToQFayVifz7ZRNc/2bgXGAusBG4DV79FNa21Xv1aSJeJbUy1ySNKjlgoQitwKMi/A1GdsOEPw3WfTIkL800YI0Iz6liZpW9E2pOCRJNXQ9MBGZqXV37ovY5ms4Q4SZgU9C2Fa8MCt1Nk3fJrQYRJuKE+xxgN3AX0KHKJ+75116E9hPrvUI3ETeA/E3Pd7rhrD/CtTV3nwxm/rfA26tELtzhZuh+/qDrQJRNvBOXK7+5tuavcoja5+jZhFtdtQDXAQeK8DxO0J+Hlo9h7v1J+FAPFhFGAK048R4LdAGnq5amek5shZ60K4+1dDU4uSvcNXDuWtDJoL8CPRh0aHWfP3Y8XPZN2iNgk26gY0B3Fj12CeiWuKIvB+5TeW53oEeAngn6F5cYa8n3Prmbgg4DnQO6GvS/oHeDzq52zMfdbCZuFDFqdPiSeeJ0YBXQGLThInwLfI2LMMxFHBc9dvzFcO2B+7pdtQw+AQ4VYYgqvSKcDXQATar1LNvWT7kzTXVuq/cFDZE3n4SG5sJPawBOaRVhEi6nS09e26LKF3H/P/kEZqopuBl3G/AOzlxyvipf1bMvlWIibhQRtWR++kHVAvu24PJHN+LqeTbmteFFx6P7j8dNMf/xcmg8HBb1Qs8GF03850kwrlkTrvdY3V7QRzvDx9Qzq3HuHMcAE4DZwCJgggjfEQg6hQL/rtbQjCTCEbiI03OBg3DCPV213EjZ5MlkZR+jesLD5du31qrMlsiMlbDurNIf9MwBq8fsK0SkLPgQupvSbkMOo9IxFUwQfoET9j6B72vjcZuKxQK/Bbeh+l34+fM3VfdbCk9PxQn3CcBq4E5go2qKiz9EYCJulFBasq52mzNx3ySyQBZvdLUaU4F73xjCBf6XwIcUCPy9X8EjS+Hmsf3jbUkvXLABJq0A1ugAJRzTjplTjBLidJ/Mio99vGQvZUHtIqjpBbYHbV3+cyLsDxxFv8AfBy+0wM2jCvdgrhkCMz9SfXbVYPuTBkzEjbqTFR/7+LCUBdUQmFI2Bw0AkfcmQMOowlf6fUMsJsPl2QzDV97orKZMmhFG3w0xn2zdEM0mbhgpJM59iX2JfWEPxkTcMIxMk/Uboom4YRiGx5hN3DAMw2NMxA3DMDzGRNwwDMNjTMQNwzA8xkTcMAzDY0zEDcMwPMZE3DAMw2NMxA3DMDzGRNwwDMNjTMQNwzA8xkTcMAzDY0zEDcMwPMZE3DAMw2NMxA3DMDzGRNwwDMNjTMQNwzA8xkTcMAzDY0zEDcMwPOb/6nUglc0eYBgAAAAASUVORK5CYII=\n", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "do(bind(rep_improve_nn_tsp, 200), Cities(200))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The extra repetitions did indeed help.\n", - "\n", - "# Non-Random Cities" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "I thought it would be fun to work on some *real* cities, instead of random ones. I found a web page (now 404, but a copy is [here](https://raw.githubusercontent.com/norvig/pytudes/master/data/latlong.htm)) that lists geographical coordinates of USA cities, in this format:\n", - "\n", - " [TCL] 33.23 87.62 Tuscaloosa,AL\n", - " [FLG] 35.13 111.67 Flagstaff,AZ\n", - " [PHX] 33.43 112.02 Phoenix,AZ\n", - "\n", - "I define the function `parse_cities` to take an iterable of lines in this format, pick out the latitude and longitude, and build a `City` out of each one (excluding cities in Alaska and Hawaii)." - ] - }, - { - "cell_type": "code", - "execution_count": 33, - "metadata": {}, - "outputs": [], - "source": [ - "def parse_cities(lines, long_scale=-48, lat_scale=69):\n", - " \"\"\"Make a set of Cities from lines of text.\"\"\"\n", - " return frozenset(City(long_scale * ncol(line, 2), lat_scale * ncol(line, 1))\n", - " for line in lines \n", - " if line.startswith('[') and ',AK' not in line and ',HI' not in line)\n", - "\n", - "def ncol(line, i): \"The number in the i-th column\"; return float(line.split()[i])" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "You might be wondering about the `long_scale=-48, lat_scale=69` part. The issue is that we have latitude and longitude for cities, and we want to compute the distance between cities. To do that accurately requires [complicated trigonometry](http://en.wikipedia.org/wiki/Haversine_formula). But we can get an approximation by assuming that latitude and longitude are on a flat rectangular grid. (This is a bad approximation if you're talking about distances of 10,000 miles, but close enough for distances of 100 miles, as long as you're not too near the poles.) I took the latitude of the center of the USA (Wichita, KS: latitude 37.65) and plugged it into a [Length Of A Degree Of Latitude\n", - "And Longitude Calculator](http://www.csgnetwork.com/degreelenllavcalc.html) to find that, in Wichita, one degree of latitude is 69 miles, and one degree of longitude is 48 miles. (It is -48 rather than +48 because the USA is west of the prime meridian.) \n", - "\n", - "Now let's use a shell command to fetch a small file with 80 USA cities; then find a tour for it:" - ] - }, { "cell_type": "code", "execution_count": 34, "metadata": {}, - "outputs": [], - "source": [ - "! [ -e latlongx.htm ] || curl -O https://raw.githubusercontent.com/norvig/pytudes/master/data/latlongx.htm" - ] - }, - { - "cell_type": "code", - "execution_count": 35, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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/A16f7ZbG/yzJAAAAAElFTkSuQmCC\n", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "USA = parse_cities(open('latlongx.htm'))\n", - "\n", - "plot_segment(USA, 'bo')" - ] - }, - { - "cell_type": "code", - "execution_count": 36, - "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "rep_improve_nn, 80: 80 cities ⇒ tour length 13491 (in 0.864 sec)\n" + "rep_improve_nn, 12: 1089 cities ⇒ tour length 44622 (in 36.311 sec)\n" ] }, { "data": { - "image/png": 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\n", 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1116,129 +1062,19 @@ } ], "source": [ - "do(bind(rep_improve_nn_tsp, 80), USA)" + "do(bind(rep_improve_nn_tsp, 12), USA)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Not bad! There are no obvious errors in the tour (although I'm not at all confident it is the shortest tour). \n", + "We took another 300 miles off, but we may be at the point of diminishing returns. Let's try something new.\n", "\n", - "Now let's fetch a much bigger file in the same format:" - ] - }, - { - "cell_type": "code", - "execution_count": 37, - "metadata": {}, - "outputs": [], - "source": [ - "! [ -e latlong.htm ] || curl -O https://raw.githubusercontent.com/norvig/pytudes/master/data/latlong.htm" - ] - }, - { - "cell_type": "code", - "execution_count": 38, - "metadata": {}, - "outputs": [], - "source": [ - "USA_big = parse_cities(open('latlong.htm'))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Here is a baseline nearest neighbor tour:" - ] - }, - { - "cell_type": "code", - "execution_count": 39, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "nn: 1089 cities ⇒ tour length 52879 (in 0.176 sec)\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "do(nn_tsp, USA_big)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "There are some obvious problems with long links in this tour. \n", + "# Greedy Algorithm: `greedy_tsp`\n", "\n", - "A repetitive improved nearest neighbor tour, with a modest value of *k*=3, should help:" - ] - }, - { - "cell_type": "code", - "execution_count": 40, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "rep_improve_nn, 3: 1089 cities ⇒ tour length 44877 (in 9.913 sec)\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "do(bind(rep_improve_nn_tsp, 3), USA_big)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Not bad! We saved over 8,000 miles of travel in 10 seconds of computation! There are no obvious errors—all the really long links are gone, and Florida is cleaned up—but it is very unlikely this is optimal.\n", - "\n", - "I also found a [blog post](http://www.randalolson.com/2015/03/08/computing-the-optimal-road-trip-across-the-u-s/) by Randal S. Olson, who chose 50 landmarks across the USA and found a tour based on actual road-travel distances, not straight-line distance; I would need a new `distance` function to handle that. William Cook provides an\n", - "analysis, and a [tour that is shorter](http://www.math.uwaterloo.ca/tsp/usa50/index.html) than Randal's." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Greedy Algorithm: `greedy_tsp`" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ "We've covered the Nearest Neighbor Algorithm and some variations; now it is time to develop the so-called Greedy Algorithm, which (naturally) is an instance of the **greedy strategy**, this time being greedy in adding the \n", - "shortest **links**, not nearest neighbors.\n", + "**shortest links**, not nearest neighbors.\n", "\n", "> **Greedy Algorithm:** *Maintain a set of segments; intially each city defines its own 1-city segment. Find the shortest possible link that connects two endpoints of two different segments, and join those segments with that link. Repeat until we form a single segment that tours all the cities.*\n", "\n", @@ -1254,12 +1090,12 @@ }, { "cell_type": "code", - "execution_count": 41, + "execution_count": 35, "metadata": {}, "outputs": [], "source": [ "def greedy_tsp(cities):\n", - " \"\"\"Go through links, shortest first. Use link to join segments if possible.\"\"\"\n", + " \"\"\"Go through links, shortest first. Use a link to join segments if possible.\"\"\"\n", " endpoints = {C: [C] for C in cities} # A dict of {endpoint: segment}\n", " for (A, B) in shortest_links_first(cities):\n", " if A in endpoints and B in endpoints and endpoints[A] != endpoints[B]:\n", @@ -1267,11 +1103,13 @@ " if len(new_segment) == len(cities):\n", " return new_segment\n", " \n", + "def improve_greedy_tsp(cities): return improve_tour(greedy_tsp(cities))\n", + " \n", "def shortest_links_first(cities):\n", - " \"Return all (A, B) links between cities, sorted shortest first.\"\n", + " \"Return all links between cities, sorted shortest first.\"\n", " return sorted(combinations(cities, 2), key=lambda link: distance(*link))\n", " \n", - "# TO DO: function: join_endpoints" + "# TO DO: join_endpoints" ] }, { @@ -1280,12 +1118,12 @@ "source": [ "**Note:** The `endpoints` dict is serving two purposes. First, the keys of the dict are all the cities that are endpoints of some segment, making it possible to ask \"`A in endpoints`\" to see if city `A` is an endpoint. Second, the value of `endpoints[A]` is the segment that `A` is an endpoint of, making it possible to ask \"`endpoints[A] != endpoints[B]`\" to make sure that the two cities are endpoints of different segments, not of the same segment.\n", "\n", - "For the `join_endpoints` function, I first make sure that A is the last element of one segment and B is the first element of the other, by reversing segments if necessary. Then I add the B segment on to the end of the A segment. Finally, I update the `endpoints` dict by deleting `A` and `B` and then adding the two endpoints of the new segment (which is `Asegment`). " + "For the `join_endpoints` function, I first make sure that A is the last element of one segment and B is the first element of the other, by reversing segments if necessary. Then I add the B segment on to the end of the A segment. Finally, I update the `endpoints` dict by deleting `A` and `B` and then adding the two endpoints of the new segment: " ] }, { "cell_type": "code", - "execution_count": 42, + "execution_count": 36, "metadata": {}, "outputs": [], "source": [ @@ -1304,26 +1142,26 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Let's try out the `greedy_tsp` algorithm on the two USA maps:" + "Let's try out the `greedy_tsp` algorithm, with and without improvement, on the USA map:" ] }, { "cell_type": "code", - "execution_count": 43, + "execution_count": 37, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "greedy: 80 cities ⇒ tour length 16088 (in 0.002 sec)\n" + "greedy: 1089 cities ⇒ tour length 46982 (in 0.604 sec)\n" ] }, { "data": { - "image/png": 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\n", 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1336,64 +1174,21 @@ }, { "cell_type": "code", - "execution_count": 44, + "execution_count": 38, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "greedy: 1089 cities ⇒ tour length 46982 (in 0.586 sec)\n" + "improve_greedy: 1089 cities ⇒ tour length 43844 (in 2.964 sec)\n" ] }, { "data": { - "image/png": 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T6+PAZuA2L/OOXmb+M1KrNhx4JJzzqOrJ81wunQqcCkwIQi74t40vEGEiMF6VN5LPrfBYXQb3cXv1j7HkiTyf7b2TJxHqYpzAPKHKg17lmxjR3i810+X9YrFYLJYsJwOUwEWDoUez4sGm/T6zk7zyGRDfAweEKUBQMdZEuAR4GLhAlWle5esjNTBxRx4E2qjyccjyxIUqu4CnRXgLeAATW7C3KpNSyPZk4HNPBEyBAkXs6ONh7/3gmxaq7/seXiXKM9JV5NznXZ6RqcBYv2WKwirM+b8UKDxWXw4MociZwLjGbT+U/3xEqIdRAB9V5WE/yoiPaO+Xhk1F6AE8n8zCicVisVgs8SKq6eJTIzoFE7jg3P9Hmbzlwtu+uiqPFxH2wewG7q3qrWOUgvau1gDW1YDyv8Ef+0KltSa22aLBsPl7OGcSvHZu8YlMm/Gq0z2ZxInQG7gFs5MWSMDoZBHhCOAejKOL4RhHMQNSVKJCQ4RWwJPAt0AfVX5IIo9PgbtV+dBj8RKQIbxnWaT5OJjcOZ5nxPGQuR44RJV1fspVXE76AA1V6ZVaPoXH6lWOd9D99w46bIu7bNTDKNoPqfJoWHIYWXLqGTPnJ+tH9snWt0C3bsBxGA++T6nyW5iyWiwWiyU7yYCdQH9Xhksq05gl7fV/sHsFmDs97ElMEfJj0e0D3k0S3CfMt9eH7sCz9aF7c3jiPMjdCo2ruJs0HXeqCEeosji58vPNS6tUhZsrwkEtVAOIFp0kjofBO4DzMGEfLlTlbxFWAWNFmKLK1lCFTAJVPhHhKIwSPleEe4BH1ISaiIkIe2BCYITswbbRiKDDDhQQv1m5KjtF+AJjEvqav3IVYxVwZqqZhDFWx4MI9TEK4ChVHg9bHvN+eW0oDHsAchcXKMkv5gETnAWlm4AVIjyHUVx/sh5FLRaLxeIVGaEEhkuZsrBrV9hSFMU5e5ZvEurhSrHbhPkOYFShz3tzoONn8Ptm2Oayy/HHBmCyCEsx568mqbIzVsnuCuh1q2Ai5ghXeiHC3pjdvmuAMZgdnN/zv1dlqgifYUJCDAhFyBRRE0z+ThFeBp4ALhOhh2pcit1xwLeqbPFVyJjU2j+8870Jm5XnnwsMQwlM0Rw0PRGhAaZd71PlibDlKeCig+GiZ1UZVPQbZwHtciccTl9gocg3k6FDM3j8AD/N7y0Wi8VSOigTtgDpgEhOPZHm40Q6TDGfOfUKFJIHDoMnDzQmXecsEMlpEba8hcgPGO8h0XYudhX53LOicwYol399h+SbNL3aFhNTbAzQD1gpwkAR9svP0a3N3RXQJ+ubv6cPIuwhwo3Ad0B14GhVBhZWAAsxAFZeLnLuO6auJ0wUaTIxst7pjyrLgTOAkcAbIowRoXKMn6XFeUCosh/F/NsEdb53+AK4bXvxZyTq2bipQEv/5SpGHlDXcZyT0USOLWe+BbmfA/eklwIIQAso+YyzKj+q0g84CB5rWKAAQsGOdvqMj+7jusVisVjSkVK/ExjNuQl8t7C4QvJMJWj3nkjOUWmy8pofMN5Dou1clCny+fOaODz5vQK8IsIxQC/gOxEmwX8nQNsHI9v8xlZQtnw6e2QVoQzQCRgBLAFaqbKo5F/llIdL/oFXzymo6xDgBqAqmbSS75w9fUWED3DaQISbgHFRzqWeDDwVpIxFEaEN3FzF7CgXPX/lr3MpswPV6iZYcB60uSzOM80LgOoi1FRlrZ/yFUaVrSJswyxq/BxUuV7jPp73+xVefj+drAlE2A04HpgRz/WqbBT5bWN6j4/BOAqzWCwWi0eEHaMi7BQ9XtM5v7rHubrNt1hOBXHR2scVFw30FtD7vZehaJyu/gpLCn0mF7cLtAroTTBoi3ubn/ZLusbOAm0F+jXobBIIfB69fw1Lq/ol2SbHgc4FnQp6aJHvymGCn1cJUb7qoD+BtgwhIHxZ0Gmg/ZL47Vugl4TQXrNBm4Xdr1KrQ/Dx9xIdt522Pg50QbrXLZvks8kmm2yyKTKV+p3A6OaPf1Rx3xHbDT9WXuNdRY10DLDHbjBok3FG6Q2Ru3u1D4MdR8PWb6D7vlBxLXRflawzAlU2APeLLD0bKpwa+W0FoOIK6LEl+HAg0RHhaOBe4CBgIPCGaiLeWEsyr83/d6MmIlTQ1GPyBYoqc0Q4HrPLO02Ep4CRkFMdTn0SjigLnz0iErzzCmfX9nngOVWmOrtAQTosuQnYDkmFIcg/F/iylwLFQR7mXODMgMv1kGDju6aw+xXTFLQ4buGSeoY6PkaS9rF1LRaLxVIIqwRGN3/cDr33MF66//WSifGS+WHUs0SJeG9zJqoHAA2h/Qh4wsWD4eanROioylb3Ccegv0Seq+flJLuwhz8R3gUmqPI/r/KHtT+5t/mvq2BqZz8DRceLE1B6OHA6xvRxjCrbE8+pJPPa/H9X3BtY7QTsfh74QpW0c0bkhhqHP4+I8AbwMKxYCheVg0ecCeG2ziGZhPUHKmGc8gSKCE0wZ2GbJnkfp0JqoRqSJAucwwQd3zVpz7MtgAmJlFTc/L7+YdDlSdUX8pKT3TtEKAt7753msXUtFovFUpiwtyKDTG5mO9HNH/sqTFY4zzEBHeaYQnbaHM3cxz2vLivg3EaO+U8X0OGgr4F+A/qHY642BW5Y7W5+essW57o86Ls6eFMnPRN0Hqh4ex/c2slfE70461sZdBToBtA7QXO8r2tfhbyIeoPWBB0Augh0JejtoPXDbo/E63vhlLBNwkCPB10HWjeE/rMn6GLQzinkUQZ0Pej+AcveE3RM2H0otTp4O7aUZOoJeij0WuU+bl8wpYR2FtBfQA9I8X6d7owXZcJtcz0UdAZ8OwMuz4ts+97b4OCDwu4XNtlkk002FU+lZicwugOYt1ublDsFTqtvzD17O796BGMJ+BqwA+izBWadHX1HI9qq8H3zgEXAMie95Xx+p477fJHZ49zDLXz+NtANaACbJkCF/SPLrADUOMcEpfZl1+wj4FGgOfClFxnG4VAmcETYE3PjbwbeBBqpB445itf1p03GSjDPLYD2KBEeAI4BLgfmiLAIGIsxQ82AWIP53mMLE5xJmAg5GDPKnqp8H0SZRRiJedZfSjYDVXY5oUVaAuO8EiwOVgHtAyzPcwqet9rzYfV3kPtdsmOL+zvj+hYi01+F5mcA+8E/m5PY/ToI+FuVHxKVqQiTMYPJ2cA7KeYVF5GWLr+shXu/h5OuAYbCoaNhwgGwzBnr1q2FMbXg0ZucsDIJmNFbLBaLxXfC1kKDSrEOrZuVXi3yfZ7CKevidSbhnocqtI+6Klzw29gr2CU7GfFvNw30BtCXw76H/vQLLQvaDfR70IlFHZyELNseoO1BJ4H+Dvq8cXIS7sp/yTKH7ZijzyqY+2JI96sV6GrQyh7kdT3oMwHL3xB0Rdh9yIN6lHesJ3ZPLZ9offm670BPMWOH27h94w644pgS5LsC9CWP6toJ9PNg2tWtrn3+gCEtSpCvEuh80JvD7hc22WSTTTZFptAFCKSSaJVYZjvRX/ito5p/Fi8ntQlwLA+G0U1X83ydbIPuDboRtFbY99LDOgnoWaALQL8EPSlsmWLIWx20ryNvHugdoAe695/4vRR6L2ewpr7u5XXNDbruoPuC/gB6hkf5HQGaG3Ad9gT9G7Rs0P3G43qcADov9XyiLepFmnoWH7dnPeaMKXtGke8Z0F4e1bUcxnz8RP/bNbn3G2ht59m4KOy+YZNNNtlkU0EKXQBfK4fuB3oP6AbotbzkncBKLUw8N7fQCIkocUUnpNf+6uWEtNCEY6PZAczTkiYoHrblk6DDwr6nHtWlKegU0KWg7fDwvGMAsgtoE9BHMOfePge9Es48Il3OWQYZjiFd3NKDjgd9zOP7vI4Uz40lUe4a0DpB9xmP69AD9H+p55O00lMGc+57vNvY4ow7R3tY316gb/nfrvEpxVFkPNrpz2m92GaTTTbZVJpSvovCjEUkp55I83EiHaaYz5x6ItQQYRTm3F0OcAy80MaEG8j3wr8NuGEHaCWRDlOg0QtQpQyMwngBHYU5InYY8Z5nMudO3m4NbcZD+6nQ/i1zxGxzHa/qq7o5T3V6F/j5PRhAZKx4Xz2xPQFcK8LuPuXvOyI0EOFlYBLwKubc31uqmXNWxXlu56lyA1AbeBA4H46b634etdGI4GU0fVT1zdPMp59nPcN3Sy9CJ+BY4Bav8nT65KeYc4FBsoqM9xBKE2Bu6tksGgwDNka+M2KHrFHjEbYb5uzf0MLfibAfUANzbtQrngNOFOEwD/N0Id/zamHie+eo8g1wGTBBhIP8kM5isWQWbvP3sGUqbWS0Yxj3g/s3n+vMY14AjlJltbl6M5EOOlZtghPPgI/PN78djHEKM4BUXFwXDq9gZORM4BURmqoHjkYKcIsZ5V9MPVUWi7AE6EDw8csSoniYjkMegLHdgK6YuG1Xa0Y4WSkZNSEr3gLeEln2BVRoEXlFaYjRJbvCdEsvwv4Yx0lnq/KHx9lPxcQLfN7jfF0xz83lteCv0SKL5vrhrCmREDrJ59+jA/zSVGR5s9Ty37wZVgp0eBvK5yTiwEqVP0VoC8wU4TvVf8fMk4AZqvyTnEyuZf0hwuOYl1d3r/Itjts7Z8g/MGqNCGU0RjgUVT4QYSjwngjNVVnvn6wWiyWdSSHGqsVLwt6KTCVFN9dp9Ubiv80PAdFfI03qooeEiF9OHQI6jRQdFRTPNzizO6ceF4BOD/u+x26TYiEZdsLXz4NWC1s+/+qdHmaRwdZZ20LuerhydRhmsI7Z30egQ3zK/1DQvGDa0v+znH6XYfLv6mF4CL2bFENmgB4F+itoc+f/o0Bv86GvVMGc2/Y1rEjxd07/Zs677T3o0jieM8nOEY1p0c5M2mSTTdmdnHFkZWmbs6RjEnNDMhNjxjnBxVyq/VTVN09L7LffYwLDd6cgJMSs/JAQ01KTkzKYHZtVasz4MhIRygG5QHtVvg5bHjdMqIzJLqE22ow3ZrTZiVlV6/wVjKoSuTP8dlauqonQBWOzfS7krDe7S8GGGxGhN9AZaKHKTh/yF2AN0FyVVV7nH1lWtOem70IY8waw00n/FPp3PKnQ9W1vg5fOTPTZjHf30MtnX4QawGKgsSo/JvJbl7zOhpVjoeeX0Pg0WD4LPr7G+11WHgZ2qHKTl/nGUe5u8NXj8NKVMLxcrPHHeR++DChwqcbYQbRYLNlDwQ5g3QPB7bRK7Pm7xTsy2hy04IxCMqZgRX9bF6MAdl8FNfK8nEyqift1GfCVCLNUk48hFiaq7BSZ/gq8/KrImh/8MOdKnWhnxA4+VARRzZzzf4mx+SfI3QEXvwu7l0+H2It+IcJ1wCDgNFWWwGYoZILtb9n5CkmDg6B+Y9jzTNXbPFcADTl14Yq/4K/3RBZ+7e/9jPbc7F4R857Yw/mMJ5V1//uhRyZ6ftPdZKjniSKPXQ+9y2PO3R1sPlue6OH50FuBcakqgIacJXCpwJvtnDq0gR4f+2D29CAwT4S7VPndw3xLRJUdIn0qwORyxc8k546gyLPpvA+7AZ9gZoGDgpLVYrGEzdEjzdgwijCPclgcwt6KTCWlYl4UtCt7U+a/pkFHhd12ybf3ZSvTwQNldBmjmUUO3AS6GLQf6H5hy+l9vbUjAcULC7meA0FzQRsEX3ZwY0bwoTb8NydOpozov7nlN9C3HPPKa0FbQZs33a895ZUE+1gd0A2gNTKlbQvJ/iLorX70kZLLTdxzKGhV0OWgVwctr0022RRswni8bgcD/zBjQ57L8av0mk+WhhS6AClX4N8zCjdthA4fJ9KBgj5TZ8rUzqArQPcJu+0Slz39z52VNHkGPRkTcP130DcwcQLLpkN8PQ/61eegHcOWw8f6iXOWaDEhxasMdjIf7LOWrmcCE1EuTP59/ojMv9cmyF0H2p044x+CPg16j3f1Tj60QuJl6ZGga4M+b5dCOI2DQX/Go/iaNtlkU/ol0GNAPwVdCOd+WTBW5Knxx3GbmjOCmTf3yvSU4eagkO+NU4TXgAkg3DPTAAAgAElEQVSq5CX6W38ki1Ym40U4AXhRhLaaUechwnfHHwvVzXmRXmAjzCLzgM9F2BvoBAyD3Gehy55w/77Jeqjy2+Nh7PJpDDTAnDvNOpwzRE8ATYFTNDSvgkH2/2CftRjPjYdlDO8Od78P386M71lJxOR/8/ewagec9y7sUyW/DvB4VYxX4F4i3KDKF9GeWREOxHhAPsSreqd2bCExVFkowlxMOIYxXucfHTfPoQM2xhFOY7kIHYCJIrRWZUEg4losFt8RoTZwF3A6MBRqfQInTIEhwHDMMawBwDXfw6LTsvH4SrqT8UpgITYAVcMWIk4GAFNg5v0i/arHqzyErWwEOZlJhVjKvSqbgKeBp0X6/B+8dm7xsyx7THTcrq9z0i/AOi0SBiBN3Bz3Bp5SZUdA5QWGcTrBWExMxFaq5gBgOATZ/4N/1oJZFBtyDDBelavju37RYLjp7CKLNNFC4dSH+ptVp3Qs8vc8Ef4DXAyME1m0ENo3gifqFn1mYfPtwGOqbEy2hu51CC6cD3AvrBgrcvkpUL1mEO+K4osImzfCmJPhqTpQ8sKsKl86TpbeEeFEVX7yS06LxeI/IlQEbgKuB0YDh6iyRaTeOBhXF9ZjzgTuctKSeVYBDImwtyK9SqDDQYcm/rtwTAHh+uOg7454TaPCOMOYjjJ4X6doplrX54H+D/Qd0Nmg34P+BbrFOZM2w5xJ6rU8TBNZjGv438jOc457gr4N+i7oXuHL49b/L/PFhCUbnzXnnk4BPS+x3yydY0z9SzbbB70QdFKM8svDVd+4P7NnTQJdB5rjz/0M5uiBYxb7Z9h9B/RcZ9zcN87rbwWdB1opSDltsskmb5I5XqNXgP4EOh60buT3wZnG2xRfyradwAaJ/CDcXZyvb3D3prb/PBE3j3TX1YEh+8Tjfc0vIld7T2wDa5fDO10yewUn2o7L19NUubLwlY7L/kpANSdVh513h2EiW7Ar3KQZlNkIz1eAzb/6WabfRO50b1gHo+vAoT8Cl6myPWz5iu921KgFfb5QfT7P37KOPBZ23z3Tw32IsC/GpPeTBH5TERoeBm9U0yK78C40AeaVdIEqf4hs3OD+zB52AjBKfdhtDvboQaMRMHLPMN8VAKq8I8LpwBgRLlKN6Zn5Xsw7/FURzlcfwq6URPiWNhZL5iJCS4yH4j8wYcRmFb8qM6zJShVha6FeJdAuoOMT+014jk6ir4h0noXxIlokdZmVTisoMP1+uHZxJjtTMfVIbccljD6UjbtE7nXqtQlqBu4FNH6ZtSaBBOjWE0C/Dru+HtTjUtC3E/zNGaBfxHnte6DtYl9X+Jkt7Jig3Q5ocWjY7ZR6O6fParuzm/8NaPc4r98N9APQp0AlODmzb0y1yaYgEmhDx2JnpWONEfW5tc9Z+qUygWmb/pPEmcD9a4fn6CR/RaQw24CVy1VZUDRB7nL36zeu81/WSMyK6bOd4YHDYUJLE6C57cfm75mFWel9uzW0GQ/tp5rPRHZcjnsUhu4quDe+n/fBrFbn715DwUp/I7fIqxmCW53uzYF6d4YpVUmoshZ4BrjN56IWA4eJZLzlxvnApAR/0xKYGue1MXcCDYsGm2f0W+AxzBHtEcC4clDvnUwcxyL5Z7v7uyL41XZV/gIugZX3iZw9SaTDFJHm46K1sZpzzRcBzYH+wUmajWOqxeIfIlQR4RHgS2AacLgqb6hG3/EvPt8a/huceZvdcQ+RsLVQrxLocaBfxXltbdC7YfBf4e0EJrYi4n79dZtg2SJzvjC4c42ZECoiwH43GuaMCTLUSDqt9Jf2OmFinW0Are9zOctBDwu7vinIvzvm7Gr1+K7PP0N38yZoPznWMwVaw7kPce0eOfmvzLZxDPQ0yF0P3deky2q7aetr1iUWGkRrg/5IQGFvMnX8scmmoJMzlvfFxLx+ghT8EWDi/j4Vdp1Kc8r0leXCxNwJFOF44EbgTOBFKHc69HsdHqwWkNe2f0nUJXu066FLLyg3veB8YRDnGtM/VEQQiHAIcCE0bag6fUNwJWejXX1m1kmV9SI8gfF5fWWs61NgAXAUZvsqEzkZWKrKL7EudDmr3Rp6fBxjTGsCzFONee4MyB9PO+RBhfqR32TuOCbCucD/oEEHeO17WOJbuI/EaDQCHtwvkTOKqqwW4TxgsgirVZnhl3TOWcB6mTj+WCxB4fhEaAfcBywDTlZN+X30KjBThN4a8BlgiyGblMD1QJWif3RMqC7AKH+1gEeBnqpsErm9DCzfDJctAC0b9MsyUWcBbteLNK/p7mDGTycAmTlh94ERwIOqBKgAAlQYCUMuhuHlgl688I/A3eh7yYPAchEOUeU7n8rIVwJf9Sl/v0nAFDSaaV6JY9oxxGUKWpjsGcdEuBjzbjtXldkY3zaBxsCNTnKLhqrMF+Ey4E0RWqiS67VkBQsOg+rD7cAdZOD4Y7H4igjHYt5z+wLXqTLZi3xVWSlCHnAa8JEXeVoSI4uUwJzK0K+8yOJP4afVUPNemHAGJobaD8ADwKQiqw3nw8G/wYTT411BTj+ivWAbHCyC+FMvtwn7kH9g2Nfel5WeiNAUaAFcEXzpkzvBwnehzdb0WOlPnYKd7h/vgf9cCFNfhQUZcVZAld9FeAgYBlzqUzEL8Hen0TecFeTzgXPi+0VSSkMT4M3EJMvohYd/EeFKTOTl1qosDFue4iSvbKvyvgjDgPdEaO79glvhBYfemNhlO4DFO2HeGZkw/lgsflEo2HsbYCjwnCr/eFvKtI/glSdF1v5gvfKGQNj2qF4k9/Ny/f6Bb94Eber+GxXQWaDtw5Y/tbpHO583cItzpuJp0PNBK0S2V2pnCIvHvXr4DNBvQZ8rXFa2JtCPQXuEUG5d5+xTnbDbwMc6rgRtGLYcCcpcEfRn0CN9yv9A0O/DrmficleqB+e8AwP/jHesiT6mtXiphPbJTebMZJDx+3zqF30wsfgOCVuWkts4NY+AoPeBfgG6p7eyRTsLePMm0HPDbjubbAojOe+zO5y5xgh8it1pxoZuq9Ll/HJpTKEL4EklknBUAtoSdClombDlT63u0V+woIeC9gf9BBPk/EP4bBhc/r0fD50zcIwFXQLaKOy28a/NtQ3od6C7hVD2y6DDwm4Dn+s4EfSisOVIQu5+oG/6lHcZ5xneJ+x6xi9zcpN/999dvwW+neFWf9C9QbeClg27zsG2rw7COAyqG7Ys8fWFE8fBhZ/CkO3QrUmCdS0D+jroS16+s6PPHbrMAJ0UdrvZZFOQichg7+NAD/C3POtkMOwUugCeVCIJz15GIdIrw5bdm/rHXs0GzQFtD72W+/3QgXbDeI66igBjPQXT1loG9OswlBTQ5s7ublbvtIIOAx0RthxJyL2X8/I81qf8Z4D+J+x6xi9v8i/44mNalfqgj4IuoEhcRtBTQKeHXd/g2lUF9G7QRaA1w5YnCflfAr0uid/tBTrdy7HB9LOuucUXKk49DBMDtHbY7WWTTUEk0NNA54FOAz3ex3IE9BDQ66H/r4nO3W3yNmXJmcDEzhyIcAxwODAuAOF8Jx4HM6psBt4U+bkPVDgo8ltvPeKp8rwIszFOLE4TOW8kbLjVnPXJTJtvx4PcCDiiMVSuCc/OMb6IgiqfMsAjwK2qxYKAZRsLCOWsZWqo8qfIp6Nh0iSR75f50NfzncN84VF+PnPYUcl6EXZ3gsUNwM3AlyKcpQWe6eKMD5j5OOPAo0Az4BQN3CmVJ4wDBgNPJvIj83zRFpgh8slmGHJUqu8Ucxb5vQdh6CBYtazw+WoRXsGcw03bWKUWS6qI0BDj8fNIzPg6QdVbXxIiVAZaAac7qQwwGdYshW0tssE5V8YSthbqRUo85p6+Bto3bLmDbyctC33ygtp+Nyu388bDjdsz2ebbizMtHrTlZaAzvTSFSteEOf/2Q9hyJNdP3HYVvOknoL1AR4ddzzjk3Av0CRi0xY+xBrQr6M/wXHuzS9h3LXSdmUljSpL1Locxt/8CdO+w5UmhHruB/gJ6YHK/v6sl9N3p1XPmmJl2d/l7Y9AfSpuZsU2lI4FWcawrfgUdALqHh3nv7lho3AU6G3Qz6DugN4Aelm8hlg5zq9KeQhfAs4rEecAf9GCn01cMW+Zg20cF9BlYMs3PiWrxcuM3CfPCYU3YdfDp3lUEXQ3aLOy2CKi+ZZyXRuWwZUmnfgL6n3Q3ewQ93DHZfBXaH+nXCx5ev8xLRSDdkzOpeh1zjCGtzMGTGbedyefQ5Mrz7jkDrQC6CbRKlO/ngJ4VdhvbZJNXyRlL+jnz4MdJIdh7oTwF44Oij6PsbXKenbtATy1Jwcx051yZnrLEHDQ+k0iHm4AnVNnqr0Tpg+Oi/UHgcDjsdHirKqwIKJBwNHfvzc8Q4XZgDvAV5JQvEiAa/4Pex0tyca7cKDArTciM6RbgU1VmJlqeD7L4jiq7RFiIMX38NGRxEsC7fhKFhcCRIpRRZZdHeXqCM8ZcBYwEbgX+pzpBTdiPXB/GmgdPh8llg42PGg4i7AVMAP4Gzlfl75BF+peCOHsJj9vjgHEiDFdN1PTM0+fsHGCmRjerHQNcA7yfRN4WS9rgjNEXYEw/lxJHsPeS5ggiVAVaY8JHnA4oJtbfC0C3Ep6pCBKNl23xlqxRAuNBhFrAhcAhYcsSMLcDLYGWRvndvJXAHrpo5zVXLwH2BPoCTaH3bjCoQnpO6rwJKp3IhKlg8K1bHw46Fv5uacZub0hh8hYU3wBHk1FK4MZf/Qw+riYe4W9APWClF3l6gQj7YCbLDSkysfDvBe+7wp0WiFAJ+D9gNXCFKjtCFqkIR91VMIZAAuP2HFhRDvq/J1Juj8QWoaKNx4c0FqEL8GoC7dQReL2E718B7hOhlir2nJIlI3HiGj8I7AP01DiCvbvPEW5oKTLnLTjuBOBg4DNgMmZy8l3iCzqW0Al7KzLIBHo/6MOp5ZGeJovRZbzia1i+ArRaeLKUbBJmTAkunRFp3pOfwvcS5ZXdenQzpj6rjPmcvgE6ERZNht7bIsvr8wd8Oxv0S+ds4BzQuaDfgC7EhOVYBroCdJVzlmU16FrQdZh4P787ZpbbYOjOME1cY7fVlEFw/Yp0fs4i5dWqsGwRXPe7nyaKjqlNu7DrW0ieE53+9jgex3Arudzsdy0OWhkTy3Y0aXAW2DH5Ohj0EtAHQT+HwTuTGbfNmNpjQzLPSvTx+I3LMfFbfwS9mRjhVAqZglaNcd3ToLeF3f422ZRoAq0N+gLoGoy39rjPt0YfY69eCHoy6O5h18+m1FOp2QkUYV+Mp6/G0a8p2TwuuZ2cYE3t3GXslQdvlofNfhdfDONlrWSTMFVUZFUubGuWjl6iCuqQ8xH8swsWfJXc/Yy2e1GpNmZ3B+A3GLsD7i4fubo+ci/o+ju8eQfwD7DL+SycEvjbknegwinFZQl/J8X04Y494dHaUOHANNyljECEGsDHcMgkeHEMzPPT1DrfQ+hbHuaZMI6XyluAG4FrVYOWZ9Fg6NGsyFica/6e+YhQHWNaNRm4SdX7FfYYpl4C1AGOA5o6n8cCWzAm/HOAO2HaNbCtY+LjdqMRMKpyMpYf0d8pL+YBY0VoDPQHVorwAvCIKqtcsjobmKUa083zf4HXRbhb08wM22JxQ4SKGE+fvYCngIaqbEksl2jzlfW/qvK5F3Ja0oCwtdCgEuhg0Oeif++2uthpM5z+Zf5ORPSVkU5fgDYDrQlaJkyPR5m6Qg4HHwQ37khnRw+Y+FZd/Lg3oNUw3rSuhT4/+r0rms79JJ1lc+kTdUC/Ax0cUHmdQN8Iuc41nR2Xz0DrhCeHNw4F0s26w+lTy0Bvx6c4q+7vqKvWwMyHQd/FeO/8xdl5vh30HNDq8eUTe9xOJrZvEu1YG/Re0PUYj+AnRN7vfr/E41XW2QGdC3p6mP3CpuxPqY5FmGDvV+JBsPdMeg/blHwKXYBAKomWd15ohxX8rejD1niie4cf5nx2XwNXrnN/cfVbhzHP+wX0bxjoi2v0+Ooa7eXafkq6TXaK3KMr4Nsv09lLFOgk0LbJ/z6+CVMQg6+R5bKV6ah0Q/upfk8QPeoP9UFXgvYPrsxRrWHgprCeYdCzMCbGt5MFrvPTzUU5JjzKKtB+/pYTbYy5ZhFoe0cRjUsBLXivXLkAbt4Qn0nnGW8FGKqoEsY1/SpYOgeuWpu40qo9wl58sSm7U6pjESbY+3w8CvaebmOjTf6k0AUIpJLo9aATC/7v1rkv2wF5LhPPoYWuab0+1osLdK8wz7eV8HLfAFf+mI4PNCb+1QrQU8KWJYacU0FPSy2P2LsXQQ2+MOla6PdTOindZiWz98qwFlESkPMQzLnL64Irs1I96BrYSzly0ajFSzBnjFPnk8Nuf+/qGHb4l8JtfPb/wYq1oNf4X673O3GY0C4LiRFSAVRgyedw7fog30fmPdPp82TuN2gO6G+gNcLopzZlf0p2LAJt6CxQrwS9MN7Fm/hkqlQPjp8Inf6C038zmyXhzxNs8i5l/ZlAEXYDBgAXF/y10YjiHs2eLAf3AMML/XobUKbQNeWXQY/qJZ1DUeXPcM+3RTsr8+cmeP6Y9PS+SWdgtSqfhSxHLCpBonb1kcTjLTGec5TecN5RcN5DqozyNt/kEKEs8Dz0/Al6KjzVIB3Pe4nQCPgQGKzKc8GV3GgEPOXiiTHnQxHeBDZhDv5uKpQK/3+zKv/EU5L72eKB2+CRFqovzve2XmESnpdR9zbu+wu88pH/57e98XhcGDWhXe4ChojwgWrUc4yXwmE58MEJsOCOYEIVgSo7RbbvTOZ+q7LZecYux0wULBaPSWwsEqEKxvP7JZg+2VF9CR9zyJEweg+osAdsawc9jkzX8/mWxMl6JRDoBKxUZVbBn6I9bN/+Cdv2Kngh3w70dr7fBvy6CqZ2jj05D89pQTQFAtr8Lx1dqotQDrgNuDZMOeKkEgQTXzKg2DltgIt8LiMunH7wPFDNiWVZPbhYlvEjwjHAe0BfVV4OtvRo49Y/YBYn9gHqAns7KafQv/cGKonwJ+4KYpH/n39x8YWyuytAmwGEv2jkId4rQ/Hjthj5UHVYFMDC3KLB0PtkeKyOx++o14FhwGnAJ0W/FKEyMApoq5qXS+B9KaX7PQYYL8J9ah3EWDwnWt/8PSLengh7YBy+DMSEMDlMYzs3ShK3MSptNg8sHpDVSmAhD3b9Ir+J9rD9+CG02Qb71Yc/joRHK5k5VcELMrGdnG1j4KDjYNq7QU5i3WQUaR7iZKdEOgE/kxnx4CqS4k5guiBCXYzSsCANZCmHCTBbFRMM+09IvwCyIjQD3gZ6qDIxeAmijVsL5qgyMtavHY+PFXFXEAv//0AzBqbfopH3DJkJgy+CEbsVKEOD/oIKMdszdcLbhTTvqPfvh9sGwA+5Xi20qPKPCCOBwbgogZh4Yq+rMjuVcpInpQXa2c4PWuJeN4slBRYNhkHtjSfw/L550+/wzCkidATeIMFg76lTOuKxlmayWgkEzgX+hqKBMYu+CL4FbtgGNavDupVmtw+ge9I7EeYlywhghGo6TGbdXn63/Q031xA55RWoWi3IUBbwr/nfYKBXCaZDoVPgSr1VdfjiAZG5t6TDrlSKtAI+CXtF21EAXwQqA22NAph+iHAKZpejmyrvhyNFahYGzjO2hTgWMkRmVYZtndNw0cgzRDgIzhoKq9pBm0vNWP/LGniiLDR+WoSzVP3c+Q9zFxLgrGpw1lhVbvc445eAYSK0UGVa/h9FOBk4AzjC4/LiJhVTe1VUhDHANVgl0OI5m4+AFT/BGbOhWs0CK64nawAznIt+Brqq8nEwMoU9Rll8J+xDiX4lc/hcZ4B2dP8+/0B+my+h699+HFDHBNT8POy2KF7nfEcg9VpCr01hOYsBvdTxZOWjG/TUvKFmq4csTLiL7iHLUA70FdAPCDDQeBJyng66LlWnQN7I4k1YhPjKyb5+X+ie7olx+9/L5bsyoP8F/QK0or/3Mrw2Bp0AerFPeV8N+mGh/+8B+i3oBWHf+xTrtQ/o76DVwpbFpuxJzrtwCei5Rf5eB/RF0I2gvzrpYr/mTMXlchujem/NlveATZrVSuDJmPhdJbox99M7XLopgUHWPY62KetMCtqklo+7oufVBCts74E+tX0ZTDiTuiHKUA70VdD3000BjOxTHadC7nrQk8KWK7x2SB/vsd7d155LYeH70SZTwSqCJ46Di7+AIX9D3QODaw9dCtrIp7x3x3iSPd75/1DQt8LuAx7VbSzoTWHLYVP2JNCeoJ/kj0egFUHvBN0AOhy0kvP340EXOws4xeJ2+iNb4fdAi5dg6VzQW8JuM5u8SdlsDjoQuE9jesMrzTbPoda9I/AbJG/W4O5dr0czY+7j1YHmrOwfjTCeIr8Po3DHY+94zPm0C1T5Kww53HDvU31Ww+s/+e+xMb0IyDlRILjf1+t2h4l1nfOnEajxdHkt8DTwvl+moYXbWIT5cGd1INfrcoriOJeoByz3I39Vtot89l94a4LIup+gQWP4u6U5zpTxjAHGijBKNX2PMVgyAxFyMF4IzwTKiNAN46Z+CtBYlR/zr1VltgjHAkOBBSLcCLziZz8s+h4QoTYwR4SvVK1ZdKaTlUqgCI2Bo4B2sa8uzTbP4dTdcdgzBOif2uAVTdFrsAIo643ylpX9ow3FzskGg6MAvgSUB9qnkwJocOtTj9aGb603tIzGNSxQfVge9b5GKoJLp4hcu9Lns9MfAacD0z3O141DgFXqi0v5fKW73eXwVG2oUNtZoHsxS1zLz4DlCrd8KCLlgj5Lb8k6BgLvA1WArzFnttupMsftYuedOUiEicBzwEUi9FTl5yCEVWW1CJ0xnnKPL6ykWjKPMrEvyUhuBR6K7wVX734Y8o95SUG6xSTzl0WDTV0Dr/uFmFALHyabgVEk6x/oruht+x3WLiyoVz7JKG+htZGftCaFHdhkcRTAl4G9SEsFELJ059eS5H1VZRdUHQmPN4T3LoYJLWFyZ2j7sVF0PCVfCQyCI4DF/mXfaERBnE8oWKBrNMK/MoMipy48UBlebONzf7BkOSIcgJmvHoXZYR6O8frpqgAWxrnmWMxz/I0InR0P0L6jyhTgIeANx6rAkqFk3U6g8fhGa+Dq6Nfke3usWQv2qw4nvgNttqZbTDK/ifSUVmt/OPwkKNvRz7o7u4BDgZvj3QV0vIgeAhzjpGOBJlCvrPsu3fQPjJL2Z1FT0YSVt8g2OrQRVK4Bb2fsarYzYJ8EXBpwubthYhrtDnTwawcidbJy5zc0IsfaMHdMUrmvhwyHe3OKKzTfPSTSfJuHdZsGHCnCPqr8nkI+JWLuSafbYPeKInPH+XNPsnkxpdEIeKCqjZ2WPYQxTolQFf49kvES8Hii70Xn+sHOruBYzK5gD1XWeiqsO/cDzYCHgZ4BlGfxg7APJXqdQEeDDo/+vZvDkG6r/HB6kO6OYVzkfRv0En/yzj9c3H0h3Lw+WnuD7gZ6FOjloI+Cfgm6FXQF6Gugt4C2Aa0ay/mL144tQPd2ZNk97HuVQh1OAZ0dcJm7g74JOgl0j7DboGRZs9srZmltS7ivFfTdmYwsxpGMavF0/k5Y4mndYPGncPFnqXg0Tod7ko0OtWL3hwumhC2bTcncz2DHKYyn3P6F+o4n5Tj53uk4fevqhXf0OMrMAV0GennY99GmJO9h2AJ4Whm0JsaV7n7Rrwnu5ZR5SuDUIXB9rteDRvRB9uhDQI/FuBMfDTobdBvGa+h40H6gp4LuU3LeJ46Dm3+HDh/7PcEEnQ96Qtj3KgX5h4OODLC83UEnOgsMaa0AFsic36du2w6tJ1gFMNl2TA9FAOOJdhZMHZzMohAcP9G9HoMV+ivkeVI30++u/dXPyWhQ9ySdFgC870/p0a9tyqz7iQlb1gE0F/QdTNihq7yvjx4D3y2B3tuCeP5Aj8CErmgS9r20KfGUbeagNwLjVfk1+iXZbKaSPMYcokN3eLwuVGhQ2NNm6mYR0Ry43LcY+BaYizkQ/SLwjSbghS/fc5UIw4C9VElR1phMA1oAs3wuxy9aA7f5lXmkWc26n2F0FTjiT6CjKtv9KtdLCvWpusBjAfSpLCVtxtoBwBY4daTq9F2J/ND051ZNjB+r4RSYlg8C+gFVgVEY536p1i0IM8NqDYK4J6kEZU9/Fg2GHs1SPWpgSRf8H6dEOA54EMgBrgUqAQdgHLt4iipzRa6cDx8cFoTJsiqLRbgect8WuWomVK5qnSVlDlmjBIqwD3AV5sxYCdgzP+40GuEogM7/vRw0og2yi79U5dTU8v6Xj4FHPMqrJKYBnYAHAijLU5xnpBE+eR90d8M/cBt80kR1cUYogEX4DmgIfBqyHBmHCBWgZp2wx1oRGgH9gaaqJKQAGhqNgHF1YT1G2dvlpDJAXeea/GxTrVu0cfLktiJMBTYCG5zPqP/WKA6XzPN5QqOg7knQIUaCOtdVoOBuGQ2HNofPJ9kJb2ZizshX2c+vZ0KEOsBIoBVmJWksUBZYBFyvMUOYJUu1GsEuwOXMgq6V4J2ORcN12ecivckaJRC4DnhXY8Y+WzQYrmtu3IPbVbwC/FwNi6Z4r1mdet7/Mgs4SISqqqz3MN+iTAMeF0FUkwtvEaKzjFOB6dEmianjtuN7dwVoczuZ6TBhGUYJtCSACEcDr8A1C+C6smGNtY4zorHAoNjvhWjkj4sVMLt9+eT/extGIfSibtHGycWfYxadKmPcyFcG9gMOdf5d+O9VRNiBq6J4SXO4sZKR/Q4K7slVWzL9/VdSzFj/FEEuBNYBV6iyw+syLN5S/L3b/Q3ofhfcsBp6VYQn6hXa6f8Ltt+ZfFlUBG7BzEufBBqqssX5rheQq8pHKVcqKkFvdjQaAfftY50lZR4ZrQQWPNT714aGx0PltsZEJzpm8J45EW5tCz/9kF1mKqng56Dhv78QsQ4AACAASURBVPmMKjtE+Bw4DXjNq3xdylktwhaMcrA00d+bPnvepzCmbkFbXNNCJOfUAPqgz6Eh0sb8zyuWAaeELUSm4Lgnvx7j/bev6lHjRCbWM7H4Tjwdfl0Fb18c4Fh7C0YJeib5LKKNi/mK31VbYMNC+HBV6u+RaOPkZ73iNUl27kEFiiuHlaFcKzgM6E3BrmYZYMPCzH//RTty4N8kVJWtIvyIeRcs8qMMize4LxIM6QTv3whnPQFv1oXvHNPlX9bA0/vCI4NEuCKRxV7jyfyT/jB1GPyxGRZ9BjOfVd2crwDuizmO0cqPehbw3RAY2B7u3iuYBbise/eXHsI+lJhsSvbgOehejvekw/yXMXMcw/jtNdVrT51R2rsP6H/9b6tv3oSuMxN1oANaHlp/7H4I/fiJ/sutS/08vB39gP0tG0GvAi3vdx09bq9DQVeELUcmJND9QP/Pce50kMv3Z4J+FaA8RznOCuqklo/buHjZdmjzpX/eO/0ZJ7PZoUlYHjtBXwXtGnb9bYp1nxLr+6AVQOeB9k+gL7Q2Dln6/BndY7mOAh3jTx0LewPtNhs+WAQnjfdzzpVs+9qUPil0AZIWPMlOB3od6NvByJg5SqCRt/AEpPs8WDINtEzYcsUv/6jWMGirvy6RK9WDa9a5DfKgZUHrYMIwXI5x1zwOE+ZiLeif0Hmn+2Tl/HXu9yL1upi82rxpvF029+1lEH1h5vXLMOEh1oM+6KYkpGPCeDb9iwwOCRJQO7UCXQ16b7S2cp6N7/1dhMh/ZjpMNQsPk2/yNt/eP0D/tXBwRvRf93pkn8dO43Xx6oXu84ELPvK57FtBHwy7DWyKdZ8SXyQAPQB0DehZMfrAoc4CWC50+jzavBS0gfMOrOF9/dye7cu/D+rZdi+/7054rn3Y996mGPcubAGSFjzBh9p00pPGw8A/oe0HQTwcmaYEFpG9HOh00N5hyxKfvGHHvxq4yVEY1oBOA30BdBhoN9D/gO4PWgZO/dn99+3+Af0RdAJ8eQ90/8mLugQfAyn6TgZoPdB7MK6x3wc9B7Rs2H2n5ProcgKwGsjEhInpeTfoT6Bt4rj+dtAnEi8n9oKI3/3cWTz8FnTfsNs9tXp4HTvV/1hkMe6LmDHluyVw2crI+3/1WlixGvR1PIrFVrz81y+D/j+HVX+b4r1PSW8anOS8rw51+a4q6GMYi4N+oMdD//XF56R5at77/X6B7vP9WZwOfyeu+NjyejfQn+HeVmGOETbFuG9hC5C04FE7fcvXi18bzgpoJiuBjvwHOwNcsQEw3VJwsX6iLT5cOhN0r9i/bzwR+mqRFTM1f9cDQS+BHt96VZd0eDm49Ks9HeV4DuhK0JtAq4Tdh6LI+g5ou7DlSLfkrGrPAn0PtFqcv6kDuoEEzIJjjd2Y3drG0GWGX/0cY8q6FvTAsNs9nVLYO4uOAng/xmyvipuCC1oedKjT70aAVvS2/kUVz8zfWc3GZO5Vj/XJ3CvQK0G/y18AoiDY+6+gjxrlT8ebMaLb7MhxKE+Lv+/j7yPxLrKEZQ4dW/6P+kPfHfYZSd8UugBJC+76Auq5EZbngjaIvDaciXCmK4FOHXpizvmUC1uWkuUMZhBMtS+ZftsuzwSaHqrms11e5I6Zd3VJ15dDof51POjzoL+B/g/02Mi2iucF6N9uBOgDoLeE3U5B1jl2We/3cSZAN5KguTjou6CXxX99tOet13LQr0H/AF0MfX/2o5+DNsLsBJwU9j1PtxTmApOjAD4E+hVo5Tiur40xzV8N2hW0TKrPUDousNlUUn9ZvsJYgSW+C2762pLPodMXMPAPuPFHGN8J9AmMiecQ0IrF56WDNdk+ksgiS7r2xXSVy6ZC9yhsAVIS3n3l7zqMeVLTgutCOzSeDUqggH4AOiRsWUqWM6idwNRXv2OZZHlZl0wZhDGORW7FnBubAR/cCF1zY7VzAGaA14D+L+z2CbLOscu6cTs8cXZy+U26Fgb8EluxVwE9GK5e4j52X7sMtBnOrqIf/Ry0Bmge6KVh3/N0TCG+VwX0EcziZELmuU6fmQVL58GVP6Y2jqf3AptNEff9OIxpvyT3+/9dAP01sr/0+wfmjAGtGnlt4ff7eUkvTiUypnn9TvBqkdE+I+mfQhfAl0qhbTEr1Web/wc/ETYP0QUfwc2/Z7odNOY82zoK7dKkWwp+Yuyfp1OTf2oTlJLb5cbtMP910Aph3zeXvvb/7J13lBVV0sB/DRhxwBxQ1wEzouIaEERBF8xIEBEElCwgOZgYENMGV1fdb9e06howYQB1jSgiCGsCUQETYRCBIUpGQa3vj+rZF6b7TefuN7x7Tp2Z9173vXXr1g11K1XX+TtsmZ25tykwmnD282HObTTIzwdx0yUTpyaRrWfBXkgUFUNXyzkKUgukBUgJqi1coxcCg0qdtB/8IUh2V2FBxsQ93kmBigfDltOi48P/tf0e9PsGvp4FsqfHsa0Gnaf7xT1fLtgKIKC+e67nMhocZhyM2uLNp7Dp09bvXfJG5W23f9+pAGXOj1egy29wdpm6l/gRAINZS6HdpMIcSTbEjkBoHUMag5SB9IonOEbVisIGcgXIPBz4vcWHY1ExDFig2oN8F7yn3Q79vg5C0KwotDY/FjXBnAtSP+6+WuNsd4M4apt5wWPCqG1h3jSCHASyKm56mLjUB/mjJjIOr8/OxsGLabJtCpEfQTaBTAW5A6QtSJ0U7zo1ifJ3OZMpaAxerKlgvGkOqhpYm7F3+wU6lGWOzeCf4MN7gm+7QpqOhf7WRP98bY1X39X5vO9URUADWK0ky02okneKUB/SNSC3uBHIMuuZdjsM3JTJI72Xw4KVaDTlXSteruxTF6S7U8Ez+Asw/5cbJs1vgwUrggpyV4BwIHYEQu0cchTIApCbdaJ0nAbDVhZypniipQEyHuSuuHGpBM8XQdrHjUcA/XgJpFPI49nDFKYSl+fK6RwKe67pujF6G3SYGlP0wzpo5LlZqD/THXDRf/JTE2h38O7yMchOuccg7ByjVgeprgsKh5Vy+tgFtDrhzcyxufoU1OzuGv9tiqH83/bt4E19g+HrTN5s8SJ8VwoyLO7xKkAGH7XCoTUHaonSC43y/QRmnlEv/IJGD12Vio6Z4ba0P8gL8O13Fa1+Bv8EX8+Ef7V2ItwFvQf6vSBBo4DPQN2IDohi/S6Ad4gdgdA7qJPtY5B/w7jLYeSqsIMp2E+izh/GTQ+ftNwX9bdsFjcuOXCcBHJu3Hj47IOBarEPi6Ct49Ek8g+TIC2v09vNMLXuMUYVLgK5EuRtUgFzzsFMp2Fj4vszzHyUgFNuBGsalNzLsSTjlgSwT23TvKzis1JXLyxeH1CZXxFINTRq7NkgvVHtyEsgX4Bs1nXw2nV+DqXW/QlnbqPmgwtBBsQ9ZgX435g8D9LHwXMtQD5HLRJOyfzNPb+gfqv/yPG7AZ1ymlSrAHnjplwCVNB+d/Zr4ZAlIA0qoeFlqNZ1OHmUY3pHhtgRiKSTSE2Y+47esEThM2Y3iUZtMYWUi/J1gpi4LwKpFTcuNvh9BHJ63Hj47EM9PURFY4pmCh1PmQevo+PufwovZzeIcP/FcP26oG8awwk2Yu1wj5rPXATyNMg6kFdAOtgJ5hVp0+54kMkgE3GRgsEdzr3nwUDPZnhJNpMvBDCojD52AS4uriAE6vP3nq/JotPHuudSmHwjyJ0mn85Bo7suMw/ej4LcYB4kTwIp0rrCEdBTfN35I92bmwaSCskUghc7ETwKECbPFhVD8+eg5BdoPj5HEKpj0VRAC0Da2e27bjRaqBXaapD9cuOYe90BuRrkidx1BK0JLCqGqxZVtIqYdhvIClRDWjdzLzvrGfjsGZD52QJ0AZINsSMQWUc546londitDjv1jwTpgoY2/xbkGgLMWxQdLeUh+OzZqELUu8TtKxLq5+aiD11AxkfcpoFGwlxFnkVDRM0l7wu+3tYzrDfoS6Z7q89qXeixBGY+Zt6ezkCjG+/rrX7ZGfX1/BjkgBDofBzId/7qSKZpUEETWBl9TpsA8wTGivoEjhX9fNoEd/S85juQ60AuBTnRyf4XxeUB6kYwNMD6jgBZAtI97rHbUSBTKGk4Aa4ozcUzqGXTP0gle98lwPGfgIPUQpWtO+alYM9K+t0Uzt0Eo9Lmpb/5AS/10OBsbbMvK2uBjIUFP0L/dZn0HbABzj8ubj4ogMuxjhuByDoa8U1vrsOOeeBuCvKCeVv0VyIw/Quub+cfB0MSmQAUNVc9JG48fPbhPpAhMbV9onlB8SCcfnQSBX0LnF8BuTz4ehsvtNmgF3qsz2bD7/U5ASUiN9eWm1CTtGMDpnM1kPVehdQkg7oKFJIa29OnqCl0yabPdihqav180CZqYUdklhNRjWRgJvEgR5v7UZe4x6+qQ8WLAvv8fGiy9xGkkr0Hup6hEaVLQXZ1j3dq3THX8mUgR7h7v+MGu3npog9jQf5o/3u4UbkLEB3UYIcpy5fBZqBm2nebgbJlYbQmsqEU6GL9GwJ8AHxgGBQDA4BZhsFk4B5ghvlMQsv6G+C2Gila1gQeOBwW3IZNnyMstYANMePgtzQBHoujYRE+NwxOgS/HQaMv4PaddXw3A31PN4xaLUzeTkQxDKoDZwJ9gq+9aDncVBduJkWDm4A9lnur76A6mesPZr1r1oiwwA+m5cVcN242DEqBKYbB5SJMCaju3wyDT4BGwGtB1JmEYhjsDJ3HQK0B0PJMOLCO7gtzSrzyumHUKoYGt+mYL/dVVzLabdAXHshe82vAgr7oXpZVgt1vc+2nQRRz3fsIuBrdg4Oo8xvDoCXwrmGwTYTxQdRbKFalwW16Binnt2pYr7X1TwTmAXOBM0X4OkgsDINqwF3ADSL8VNnzIhtKDaNWCz07Za47hsGRgECuvSG73zWBh4ugpc28rAz/8vWjyfnww1zDeL3Yev3Yax9r+h5Yx22bhRJv2YGEwDkl0Pf01ITZDPRdoN/HV0QoBUYYBjcDV6GH/3WGwd3ACyJsixE9m2J3mI13ATAX4N2BTXHi4acYBrWAI4DZceEgwgbDuHoDTNo5oYJ+ejkeWCFCWfBV77EFegJ3Ar+hB4ueQM9F3uqL7iJKhMcNgyXAeMNgmAjjAqr6Q6qYEAgMARZDq4dEWj3otzI9SLV+J2uvcX2B4lagC6pd6+J2zU/mfltJuQV4zTB4UIStQVQowjzD4DzgbcN4dS/405lRXwzsGCWbP6thvdbuezBwmQjvhoRIJ+BX4FmnL+S44GgGTMmtEAjuLGaxfpwFfd+xXj+iVaoUSoglblVklJBUf5RMHKUaGtL4XdOU5MakmV/Zm7U1idUUwLRX3xA3fXz2oQXI1PjxyI9AGSBDQB4MuM5qIKODznEUR2AU1I+vVPtjHZTGZX2tQN6Oe9wDpM/vTJP8QMxxtc4mufzh7tSxkMEg3dCciOeAnAJyJBrNeldrXrlqEfz9ApBzUb/h4Wg0zcdAXodr14RlouUtRH7y91sLfpgIMij4eu+7qGKgnIK5cXD0zebPUqmY0qTPCjjIca5AD7yzGxoQyJcpZlp9T1JJcKFgU/g4ryvJQb4K4A52IE1g+CYlQRQRfgNeBV41DE4ABgPfGQbPA/eKMDdWBAHrW94bf4KH9jUMikTYGBNiVcUUdEbcSOTRTV8z8Gdmlalx+XEN/GM/qG9AvZNg/M4wr4Kpjpd2Mk1/zmoNX30A7/ULUxsgwlzDoDF8+zZccS3ctUdqzvZpahi1mrtrv/cyOKiZYcx9D5YvrQLajHuBv0sA5riGQR2gOzS71Pp2fvuvwEr4n7a/tvl/7Yr/D6sOI6tlauL/WQy3Pg3MNOtZYf79Rv8u3w9q7l2x3SAsNNxr9vJhv7Uot6B770PiwJzPeXmyE0yqngeWFXla5pRA/yZwX12l7b7AqvUwejfYtgy+/Ag+uz7ktWoI8KmIezPM7GIYGOjedlvuJ4PUuDvXKuYyY3XfbqHEWuKWQgtQOZi3w6NBlqO5wy4k5hQTFW956x8J8gDI3FyOzCHTqT7IvLjHy2cf3gK5JH48ioph0NYk3/SZGrs1IHX89TP7RrPfWjgsMM2QDe6PgvSNjlZNXrG+5bWO7uicVsniCZdjcDGa2NxhAAfL1B7V0dQeE9Gcjg9Cq9f93M6DGNB+iltNfNgRTlM0GLwUes7O13F3QP9XQAYGW2d+WFbkM8DopjBqM/T5SlN+fP4iZrL3CHhmf9OiIJCzD5pmpAwHaaJgn7pw06/Q7j0/GndNo1EI9rKjQewIFMDFYGlUq64gs0C+QcPJJyrFBJrXZgXI+TG0fTrIh3HTwAf+1dHoizlzC0WEyxGwYJWmVkmmORfICSDf+qsjntQAIAMJ2Iw1d3t2ed4u34LmiBxvCjKvo7lM3wf5L5rO5guQr+GGjUk4JPgxa029236K9md8V2fvWJlmfngPyPdobtJe5WtxEMKyd/PL8IV0kIZmv2tEOe7R8ZecjOZprfRywHmdLV5MwtypyoC6zggWyd4jaPt+kLv915Oek3VQqZO5i6a6WOO9rXaT4byJ8E5pxbQP+XvJVwCHfBA3AgXwMGgaOvhMNLfRapA7QH6nv/n3+wkAv6ZoaOORUeKD+srkpb+S0unCV+GGLUkQuNAQ0ffGTZdKcBwE8i9/dcRzQ2/OkY+jo1XzMutD6HnrUP+yDiBtUCuDlmiY88aor9oJIMdAJ5u8ie5o5V+I8yboeH3XXiDr9w3Iibn76O0CxTuuRcVwxXQYWhbmOmJeELSOin+jBpBXQa4JqK4LYMFK6LumcMAOZayOBXktbX5Wqj0LuP36aLqJvf3V437O6zsXvAI3bHYz363b6rNSU8Hklx9vAfxB7AgUwOcAqtnAXSBr4Mv/aPLp+DcakEPhmy9gwMao8AFpD/JCtP0MIthGsszszEuG+VHfpnrA80V85uCKURNYBLI5Km2KJk/ODpQwVKChC3NQ/7Ryw+smH+6tAqg0A7kMrvrYKw5e8Y/vosCbIGlehk0KmX+vBHkzCt6NA/TyY/4yaPq017UdZGc0END3emmbf4Fykgwg+5GZ7L03yJPRtJ2+7w/9Aabd5r9Od+uTvwuxePa9AiQPYkegAAENJFIEV32SpIkNZz4TFT7mgvhfGLIsqg3W282d7AxyMMhJIOeBdIXuM5M1btIE5Kuob1Rd4lgN1YL78vmwHsOuC6LhH/kWpEE09CoqhjalmkR5jOjfNo7MjXLTKigzx6vngTwB8ibIZ2hk5G0g61DT92kgL8DgH7wKZF6FuXw7MKHmmp+H3Mau5uE7VN/Z+GhYVAwDN3vldZB6IB+j/oX7xN2fqgRkJnu/t5y+piDo2yTTGW8Ev2e4XZ/8rEsFH9UClENeRgeNKxFvkosIGw1j48Zk5e/b74Ao8LHIb9M5msTmVolaHzgcqo83DN4A9reAPYBVaFQ/E/bYL1njRlfgSZFc+YliL/WB9SIs8VNJxShn9erD5XeJPFEaDJo5y2fAScCcsBsy+9kcVniO5hZMRDi7CHTVdgYmk4p4uQJYJcLP6U8axsfjdH57iVq7bo23iLd5l/NuJbrWhFZE+MkweAxNrn5tmG3FUxrcBn/a3Us0T8PgcuAfaGTHvyd8Hc2bYkbMbA/8BfgSaCrCN2mP7AusDh8Tq33//now32ekV7cRuf3kCMyb6N+FEnJJlBDoRLgLNyFuvpf1a5M1saNaaOyEsbDDb9stwrXrAIJuVCuzYJ1oGpD/FcP41MfBNthiGOwCXAacHHXbLkszYEoQFaWHsjcMugCdgfuCqLuSUi4EPhlBWwQRst9/HXZrwuwPRXis8vetBLJ+C+0EstSecvChcOQJMHQ93F3bjTCXEn6//zOcdRm8+0zCLx5XA/saBtWy15qAy4PADMNgjASaTiEJxf0B2zDYHbgHOBs4X4SZISK4QxXD4DTgbnQQeokw2eKx/YDF4WMTXIL2zDKnBIb8Ae450Nn65Od81fMFGN0Rbq2eJxdbhRJWiVsVWQ5OTY00WmH+mOZERz8xYO47Gt4+Kb5lUUWri8tnJxgzsST5BKLJq9+Pg19c4vk8yJUh1Ls7yFq/ZqYO2zoP5L24aRntuJ1+NAzZ5s+kNN23atAi+Pif9s9lz6s2pXDaBC9+WbrGyq8g1eOmowNc10ZhhoimtKk0wmq+gXv/LDkOZA4aabcobvyrCoD8zqTpUpDuueYeyASQdvHxxpmv+4kPAFIDvv0WLpvsZH3yHjxKaoDMgjeHFHxUCxA7Av9DxHZiDV6Mhiufpzbgo3+zPvBflviDa7j0k546sesfmaSJrQtVy5c0mXw4+PjNy+W93atPgaG/BCG8JSVoABpspVecPOMARwNkJchhIdV/P0hJBP3YH80tl1jfyxD6fJcGsAqG10EONH2DKvhWhuHLB7IBZM+46egAz69Bjo2gnTYgM+Lub/D9cnopLQYakGSVKaTsMHM5XPpLEcjtaB7Ym3GQCgv1Gz4rHt7ovQ56bvd3uSU9zLOuYx5SXK5dA10/cbqWoumJ3ivwagFEEiUE2mlzen4JcjZIA5AD7DWBo7eh+a2uyb7FT0LahHBpJ3XtDkJJADzmsXFY96Ewfzn0Wh61Jg1kHHzyQBKEt4D6sxeapzDRh1w0JPeiEOs/BWQhSLUI+rIUpG7cNI1o3JqZ/d034Hr7gkzPHi/oON16T/FuIYDmj4skAbVPmkwFaRZBOzVAlmCTKiOfIXVuuGYh9P/WQgCsDfIsmkczdIF7RwA0V25vkOUgj4Mc4uLdr0DqVz6e/s+BFS9tG07wc+EEsps5j073QLMfna6pIAeZZ8UCvxYAkUQFhrGzb573uQjvlX9jGF+Mgr6NKjrpl10CHAO0AW4xDBYBL8O9H0Prf1ZVH0LDoBrwGHCHSPgBJjyWrcBuQVdqGNQCXoPD74LnXoC5PgJWuG77HOBMOOU4kRmbwmon4tIBeEuEdXEjUklpRkD+gDZlJrDJbOe9Sp71W8r9AheF3E6sxTAoQtepPiKBB294CL7pDbfPMIzNW3Qv6TsRDj8pBJ/kjUAtX9iGXNQPssdhsOkfhjHv8zDXQhF+MQweAvoBfcNoA+IJBlfu/2oY1AHmwj/XpvDhVOBZ4C2gkQhbw8RlRyiGQUvgLuBHoJUIn7qsYj9sAsMEHUsi2zfaMC6d7NNPcADwiQgfOsVB+3TyHdC0CN69xzAczYm7gIdF+MppO4VSxUvcUmg5uMsfldt0zrydPBvkHrhxU1X2IUTDIk8jwX4qaDj/34I0PwDZCfVHuT9qswY0RPXXVLFkySAfgLSKGw8HeD4H0i3kNgaDhL5GgNwKcmvcNI2gn/8CeTicuouKofv3WTkQf4HRw4L0tdV2Rq6CKz9NqtbfrZ9QMHlO5SBYuB6aPRuGtU0SfKZBXgDpb+5lw1Fz9EvjHu/oecu/Jq1iPXe2QJO9z0d90l3t51rfGU+pq9AZT1mfGZs+HeY50F+6BtnL1M4d467PrtNT/QGkFGT3uHmpAMmB2BHIQOZ/i0O3z2DEiiAW+aqcD8U0i1sFUi9uXBzg+jPIrpnj7NmB2gB5EOQNIkq2ndX+KJBX4qZpMH0pH4tOM6BkKxx5RNw4ORj7srBNKFET5nWEbBoL0g7kP3HTNeQ+XgSyCKRWOPXbH8CC8rVNgiDijxZXz0VdJVqBnACyZ1B90noGbAyLNtYuIPMEGi+MysXDPEAvB3kd5L8giRr38PkqSF7JrmfoLzD1VpCdg8PrhjNALge5W8drxK/W58BLpgdDn/OPg2G/ekvcLn8Bechde86EztT6d+kUuH49TEy0v38BoofYEbBECqkJsgmkpv+68ivRrwsa7QQyE6RP3Lg4xHed3ng5dbi3FxRBrgX5PKxDZSX9qIcmKS+Ouu3g+5IfB9ss+h8DstjtbbHHtsaD9Au5jbogS+Oma4j92wf1A2wWXhvhX/Tlyz5iT4v+80EeMIWYOSAb1Y8+iOjGwdEGTUJ/CuoXdp8e4Et+yay7VGC4RLluoZZFglrd7BT3OEfPV0FFwg52HtnXN2oLGi30OpBm0GSRTbsLA+KPa+DL191eOIEcgga/Odhde5Wvefm4vxcgekiQT2CqiLDZMJgFnAG87a+2vEv067SUoAmV/xU3Ig6L6RdYeU6/XPb7sOEUYCDQWIQNUXbATFb7D+CvIpRG2XY4Ja78ir5KM+B9kUgSMD8K3ArcH2IbpcDuhsH+IqwMsZ24yn3AsyK8H14TUeQjPeR34eQGC7rY0eKzD0VSPnu6ln39PtQ8M/N9L31Kz5u2GHX9/A3YpYVh1Cq281Myfboboj6x5XAkMB/1lf0MeA6m9YfNHVJtPAbcTBTrlmFQAxgN9IZ578MDv4OlbxlGNH6JySnOc+NZ+W/ChsXAqdDonGDnkR1e8z4UoW0Kpz2WwU3FKb7ZDNwE7LHcW7upYsZlGAgN+ojMmOry9bHAQyIsdfeakzUvL/f3Qom4JFIINMt7aNJVX0JgKtHv4QtgzlRYtjTfF2/TKb0vcFJEh+EgiikE2i3aTc4zDB4ElkKbC+F+i8Vrw/3AKcC5IvwQFeKpTa3+ibDfofDKYJgbVfMhlrCS3lqXgII7NAcmBY6cdZkE/MswOEGEL8JoQAQxDGajB+C3wmgj6pIa5+Mawr6HwKTTcB3jwU0J96JPhZXiY8MXNIMozmihfPfD98H0qfxAuhr4P9IO2gdA33fMy7ufyBT2TgIOBL5Ehb3p6AXbHMlKPG8YsxZD35NTfdpOFOuWYXAI8BSwDfpfApvHw311oWbdqhZgrvJiJ3T8WN8wmowrX8utL3CHnQvfroCjasKGMth8UHDzyOkF0MZF0LMJ3IleUFQDegI9F3lrN6Oci55vprl5yTCoD1wCHJX5vZN9snye33g4jEfnxEcbYc4DqWei3d8LJU9L3KpIO1AVvnwUYH0/+w/wCAAAIABJREFUg+wSd78C6MduaCjky+PGxSXec0Ea2JtvdJiCOt7fBkOWWZs6jPoZ5KJo8a66JhVRmrgFQUfUH3AZyOHR0UhuBbkn5Db+BnJ95fRLfpqbuOZLWHk20Xxl02HWE/myDjilhfVYXbnQu59XieQwzVsD8g7IX0GuADkWF8HMsvq00Lqdpm8FlwJALkZ9j28AqZYv5sDh8lTXBVm+fKZpbvlc6HeKfc7e9u8qHYNdH9y5l2Q/12+rpnbwGpugnCeHr4bOM5y+n/beKug+M9PVxVWAxKbQcYPdszs6zxbAGcSOgC1iGoFxI0jtgOqrKkLg3SDPxo2HB7w/BTlVF7m+a3ItcvaL11UfR4931VtIU5tQq5nQ7bcoDrZB0BHkSDSXUmTRYOGmM6HkJ3WsD0f4AukK8lzu8coXAaTqzBeQPVAfsAdTB9iqkRM0k7fK+zT4e5h8o/d6WpVZX951nB7knLWeD53XwkBPgTmyxnwXc49dDHJG6vuqG2DOOW3eGgrDlsLFZSrwl2bN8ZKtcN3GyugU9Dxyd+lR/lyjidDjJ6/84nVNzvUeSA1o9lzm+lkqSutWZRVjI+Rea+Gww2Hwz/mwbxQgPogdgZzIafL3QELWVwUhEHVO/wFkn7hx8YD7NJCzQHaFBSvhglfsU3xYLZTDBQacGj3edpt/5w/jpqm3/mTTdp5Aiw1wyfQwD7b2dBz5I8gf0aiFlglvU5t3n69hoGtNRXC0CmcTBWkA8q397/kjWFWVwzIanOx9kEfISkJfVQGkJchsrwJb9JYF6Qf/0zwl687UsJ83Eb75Ag0osndcfUsqgEwHaZNrjucLnfziaf/+aRO8vTfmF5BfM4Mg5Q6ABOdOh7ECY0T/lgvlutaC9IOvZlS1i6sCBAuxI5ATOeRGkLsDqiuvhUCQ2miOlwvixsUj/m+DnAfSA+SNyp8v35yHLochS+C/d4N8AbJXtHjbRh/bDPIxSF9CTiMQbH9avBjHJm1Px/bvgow1+WM9yLcgj5t0PQEOqheXFiyqA43eAMtmkCLr3/NHsLKn2RlPxY2bi/HYHWQyyGM7igBo9rsayHcgjb29H5/G2sscscb36lX2uYmznx2waUc5VIMcj0b5rVF5SpbkWy34XVPt3790S+5cfbbvTQExMmk7VnLTOdsUdLjAJFFz6Q5TVTP797w8LxYgOogdgZzIIaeDzA6ornwXAh8FeTBuPHzg/zKaCPZLkJYO3xkD8gl6K2+A3IMmNI8s2an9pnbY4SAXgDyPpr94GqRF+aExKT5cIHuCtAH5P5B5MGp7HAIF7FMXhmzLdTgAqY5qxfqA/Bvkm6DC2HvDOTrhy7xQaGr9m92hq92kOHgqdz+s5sugLfDVdJCD4sbPwTjshlqgPIkLn7WqAiAjQB73N/7Rax68XNi4fSezb02fVq3h1FuSsM5HwBf/ALk5RQd7QS8fzKah+6xwNIElvnguk7ZjLPYeEXuN6zyBTr5NoguwY0HsCORETm/I12NjJua8nqJiuOnXMP16QqbDJSALQPaIGxfv9B9UqgFfrvvRYf6cLqjm88C076qZh7PXiDBXU2WbGpoLbSDIZyCL4cN7oFtpPDfispspjP7JFCw2gryF5lY82TrxchSaQGkN38x2n0epw9Q4hFZtO0rzNnkQZIA9//Vbm8lPPZfC/DKQ23WdTMalQwrf9HE+qB7ITWhQnxZx4eVgDHYFedO80NnhBEClQZeGMPpnnXf5s1d60UD51waNbqqJzisThuKfk/5oK3uArAU5NJPeyRb0cvSnO8xfAlct8ucT2HlLRU1caU7+ccKnKdo2L7PXBFrxrp3msHkFf8ICFKAcYkegUgSR/4C09/5+fpgn5Oj/fubh6cy4cYmK/mhk2JUgx1n8thPIqyBP4dBUK8rNGOQk6Pd10MKDXR/Mi5JGqOn0u6bQNx3kFpOOu1SsJ47ojTINpIP79+LzMYmSVqj56yM2v+1i5UcLcoAKLV9/ClfFcungso/noCZlt4LUiB+f9DnV9GmYOxlkfFC45ZsQkP97Zbpgcu0aeOaK3M+H5Rd26TtwS7OK0TTzh5aZ/ZReIC/HjUdAfWkDshzkaL+CrEYWLZFMnzw3fqheoveWB5GxanuUxYWGmM/kL/8VIFyIHYFKEUSGg9zn/f38cFS26bsB8iLIHXHjEhX9dXGWFbk0Bqi2ayrI/1V20IrjYBO0GaG978qct0B+RH0l70bDmtdyVl90t7ioWfciL4fruA+mKVr1+AKGLQsvcI40Apll81sXEEvTT5BqGmY8P9Y4U3CdBDIFpE58eNj5eB15RHj1J/sQls97ZcW+yAiQh8Mco9zBrm7YWIVo+QnIhXHjkTlu7i9XQJqDrAI5JTg8svln6Ha44Ywg6s/sa/8FcPVc/VxUDFdkXfoNFWi+yZrnxuY1/xUgXKhB8stkoJf31/M6YWZnNJFo57gR8V6c098w2A94DbhBhHfsahRhq2FwCXw3HTpfAXfunZYYOSuBb4PbUolry9t+4HBYcBvQxW/vrMvqlcEmlrbqw137Qu/d4eljRFjhpjaTNiH13bIMB+4W4Re3L5oJiFvoeB1YR2noKcm8p1JOK8Ngb6AU7loaUlNfAscYBjuLsC3rtwHAH63x4zfDWL/eeo6dcpZhMARYnAZrRRCrupwlKfZXRFhhGJwP3AjMNAy6ifBWkG04K1Zz6s81YeMzhsGT/utv1xX+GfG647fk9V6ZXZ4DZhsG14jws9UDqbWl7C5odDFMft4dz9slKv/gNZOWZ2c+n3+0NAxOAfaDOOZoxWKdjD57z7d6j5PQrOqXi/BpELhY701/WQhn/sswOEOEH4NoA91/2gC9RR4oNYwm4+ChwzLXlt5A5/VwdTV4cLcUbW4CBqY9l1/8Vyjhl3wQAj8H9jcM6ojg4RBtt1BvWhcMeuEUw+BQ4G/AeSL8FDc+3osd/TMFIsNgN+Bl4DkRHq2sVhHWGUa/r+Dl+hUPWrtMNAxmAHXgrHOiPNgYBnvBQ0fCdRvgL7XSNqoFMKfEW612h7OftrsVAKMuhsHhwNlAd691xCC0WuDAWsNgIXAy8GEI9W8xDBYB9YHZ5d8bBqcCB6CXIzbFdo1bBdQDzgEOM6GGYWQIhaX6998/Q7u/wT+L3RyuvBQRfgVuNQymAk8ZBo9D8aNQ5+YwBdDMYjenah8IHOG//toHhrnuhCOwO1ur86GIsMQwmAucB7xi/9yGUsOgPbAGGO5uPZ1TAn1PzxJIFsCcB4AnqggtrwYeMudsAor7S13D4Ch0/ewrwuQgsbHamwyDmsBEwwj07DYHOE7/zV67FgOPANPqwGrgz8AXv8IJ1VUAPMx8Li/5r1DCLnGrIp0AyEsgnb29a6Wy77saFqyCV/sm0WdDTbxkEsiouHHx3xcnjtBSDeQ5kGdxEZLd3hxnQCnINSBt4ZI3IgzucZBpmnlXkCaX+WympSa78se48QioL/eAXB9i/eNAumd99zjIyNzvOTdrQ1PNnIDmZRwIcifI8zBydUwBg/aHeVM1gmiUJtvhzqkw6w/L1DQfTVgr4a1+IM84fHYKDqNWV6RZxjrfVGk2T3LleMsHMNeKH0kLzhY3uHW1ADkYdUXoFSHdys8zz7k5z1RSZ3U0jVCtimtLdkCYUoGBAlfYBi0qQAHKIXYEHCGJDMAmaIKz9yseyOHhNjBkexIniSnAfEgCgicE059Ko2v+CU39sKu7eis/aNnY7f8C9/wxyAsAkLog80FG4THZcm76WfkedDgh7rGthCb7oFHlEp8awGF/2oC8GWL9w0H+nvZ5f/MQtnfl7/oNchBfLkJoEvklR9gCj43P4cYg6g9fwLx6LvSfn6SLUW99ueokjXTafkrlATj6fQ39vgv2wq7UPKCPEs3dll+0BOkP8nzceGTidPFrTnkfZG+QOSDXxUC7XUHeB7krmPqKijXY0ZWfalCYdJ/A9IAw6QnmS0WDx3TYBqdNyDf+K0A0kA/moKB+gcO8vmytsm9yG0yqUdGsYNlfgcu8tuW3mKYLNwNniAcfqiSWXOZ8hkFvlN6ni2vTCVtznP+ZXVrb7R/+OshjMGmnIEzfDIPjUJ+JP4nwT7fvV1as+/CPbfD7sYbBpSLWPl4JKP2ACSIsjxuRgMpU4AnDYCcRtodQ/2dAm7TPvYEXRVhb2Yv+TWbjNAU8/OiofdHC9jWtWP+qMnj0JPi/P6C2Wz5KnYPDopdpHvk58LoI4/zWF2XJNJH9YT3UOQmu2xlqNrNb41M+Zn8t30OOsNsLMutfuB52Bg6pnfn//g1SY3MY6pMF0K5UZEZGfUkuhoEB9AWGxo1LeTEMGsC9p8KQMrjnwNTePfoXGPR65visXgEPHQVHvwHcETWuIvxk+vFNN4xpm+G6el5Nt1M8OmZvqLk3bD4ZuiyGcybCwbWhrBg211V6PIYeH2uacCuweSdouTkqP/pCybMStxTqBNAomWUgdYOr0+7mu2Q7yEyQP6Ih9ncOv3/lt/iXvgcjV8H7N8VN84jGtSUaCfQo/7Rzk3vOb2jw9Ohkl7yh4fu9mSv7oN0uJp9a5paLG8yb0DIs0nzkM4DMBjk9pLr3BtlgmhPVAFkC0jCafsURRVcO0suYUVui1gTGxDv10eiEx/qo42AYsSIMeqXWtWvXQdu380lzYGMtYWpD7GnkdC/IrL/UrDv7fzE1L/nPyyCNQb4jIHNGf/zYbjKc/zIsWAHSseKe/8wV+lvfNZnjf82GuHkYrmuiVjtWaR7K+3HudNUUt55hbSnlNMH8PIG2kpk2ovz58C06CpCfEDsCjhFFngHpEVx9dhPrjKdAzgS5DQ2NvB7kZdM04vDU+8HkgKpqfhguxrMBmgsw8vyHfkzfrMerV2ipAyqh4RHmofKkuMfTArdeIK/FjUcI/bqXcP0CS0GOBGkPMi3avhUVw3U/QpePwjQFNC8IbgRZDfJnuLjBjrIGgvQG+RyXpu/mu+fpfF/0G/QuC5JeSdyH3Oyx9vv5WMm1xudI87AWzUX7V5Bh0Glaqv50Hywrf6x0oTB+Onrk08dh2u1xxUyw5sc+K+xNelu8mETh254v234CPZY48R11cl5RX9SOGzLr6S0wQvLVHLkA0UDsCDhGlHevh4ELg/Phcrbpocnar9BFUZaDzIdZj0Ov5UEs9Pkc9MM77eUgkMUgOZP5hte+d5onbbxAOoF8C1IU97im4VQN5CuQs+PGJYS+tSVcv8AJIB1Qf5IOEffNANmEg1yTPuq/FGSh2U+LS7VoclfGyD8GyPOk+X46eKcGapmy3Vxz+gdNryDXtSAuSN0KpfYH5TE5+2Pf73aTQLqCXAdyDwxbYV3nGIs2SwWalyWNl52OC8jeauJ65cK4hFn3+YXj82nO3Q87vDpuTV1SVBbXwEnsg+xnqsZlRAHCh9gRcIQkRcXQrTScaGjON1JzAz8Rus8KbsNM5uIV3lhKTZBPQUbHy089fvDCT0kcL5CHQZ4k4IA0PvC5GDVVTQQ+wfatS0MYvU1Nt4M94Clf9vochq+GUZuDSlzuYtz2B1kTUt0N0QiMX4CcE/c4xgkge6Ea31YOnj0EZBpqlbIC5MZwcApmXQtKo+heCLB7viQnHs4vg9Prz6UJzI1nfDyXu59o9MmDQE4FeT/ufrmPApqsy9nK8WpeZn+JkNlP67Ebsg2Gn556Jpte+cGXBYgfYkfAEZIJm+BBCgJJ61u4dJPqqGntv+MWEGDOm9D1I7e3tUkcL5DdQeaCdIt7jE18poB0ihuP4PsVnslcEszxQE4D+dR/P9K1Db1OBnnQFGD6UkUiHgdA6zNQn9mDczxzgfnM7aYQeEdY66b9utbsWXf1nDYhiPURLv/AnRDQ7viKvldXlGokxdxrvJPLYOc+gcnUuNiP78iVIN+DbDN5bZb+dv2moM44weJrdwkQ//rpDq+GE5xqAq159IM/oj6bh1jTq3LhsgAFEMkbITA52heQ/WDoD0EJAkldvEKi3T0gk4kg2E4leNRDfelqBjNeV8Zub4/6WPoKOhEQHqeipr47xYlHOH1r9mxYFwBJuFwAuRzkBe/v26Vj+fRhkL3iHr+kAchocz2snvX9TiB/MQ/nLcxnHgrz4sx67Pqvh68/gRb1rcwILcwLm0KHn/3s1SDFIPdragc3QoD8E2aNC9OkOPMg3nCCCrzZ/yfH/DMT9y4fWY/LlTNNmu9s0rG5XijarUedPogGX/fnoqSalFunKCsq1ksK7/kkQUaWC4IV6VU1AhQVIHyIHQFHSCbggKR4SEuQpfDx/dA1MMENRjdV869kLV4B024g6icW+2EQ5G6QP3t/P31R7zMHvvowbsHW7Fdv1NxutxhxeBZkaNy08DaeFX1l0FyH3UH+AyW/hHUZlYSLLpDrQf7q/f1krNP5AqhlxBSY8dcU/7V8Cb7+FOR1kANBJppzqnr4+GQfVvepC589C4O2WOx1TSse0q/6RZNUW/LARihqmoMWR6EWImtAbofuv3cqBJgXT8uTsLckDdD8tU9AyVZnGid5RvdqKyGs+/cw/3uQP0fHj0OWQI/Pq9q5SPvWplSFtcECbQTabHWbz6+iIJh+SZGeS7DqKhcK4A9iR8ARkjFry0B2RqOE/QDSIoVTMLdOIK2pgpEU0/p3McgyAkzx4QOXWmgC80MDqq+aeVB7JMybeoe4GOaB8f6Y2i82D3GJCVJTOc5Wa8tVi2DyKJBJaHTgF0E6Q7Pnqrgm8EGQ/t7fj1+QzTeA4aertjSd//quhoPqoX6+r8d5wQRN7PhyofX3I6SiZqO7qMajy7ZsQRC1YHgajRQ9Ol2QS+2xw1dBx6k2AmB11P/4yrjHMkkAcgDI/5nr8VgnEXhRn+B1IHtm0j9dgyX7oprp18ufC7kfr4FcGDc9g+9XkIGYUoJg5vfJ1IwWIFmQF8niMxPv1jkYDjkVViyHlo8aRpNAk/xCdlLYLRvh3npw1EKgoQiry3HCV3LmjHIC8GVAdSWqGAa/B/4NXCzCorjxAXoAb4uwJIjKRPjNMOgCfAAf3GYY1x7mNSlsALiIYdAHmGUYXCbC81G0m5ovpzaDn8vg6X1gw8Yo2vZfGtwGDxyeSvBcE/hnMdzYC84eAbQRYTOAYcyaDn1PTj2/Gei7AOaU+MdjTgn0PT2cujNL5vqWwafFwETvNceZcD5fy4wBMKl6Jv/duQ8YbwArgPNF2BYffgfWsU5Mv9/ecCfwG1AN6IYmR98F6E3qt9+A2sCxwAM7wYIngHqGwcnAKKAJ8DfgahEy1ozyPdYwuEU/U2qBYH9gI/Ck355WhWIY1AZGoHR5AjhGhFXwKqkz1IF1dE5W2J+6Ay+JsA7szziGwXnoAH9kGHf0h4ndQ9zzagC/BFhfQspBNvPqwDpuaxLhr4aBAbxnGJwtwg/6vd342a7/hbIjlrilULegtxu9A0nPYFN/U2ixQXOrjDVvMPusDPMWBWQ8MaVLCHes5FBTe3pp3LiY+FRHw9MHnuwbRja2SwobQz9PMW/WQ9e8xq2l94+/2yh04d2uRnFzm2u80FQjPhKZ5zcvJIv/rtsAUjuc8XeevsFeY9Eia60bbu6VLTZU/D49aXX7DaZ25weQwSC7V47zf/qpWWC672HjcRo8puQnuOMPcY9j3ACyG8gIc93/N8hhLt+vBrIA5DTn70waWVGLHex8B3kXJJLxDSK1ifO27ObVaRO849x9Fny3iJzBpgprdAGyeCJuBFwjHKLZlE6Q7ISb5ZtbeGZZIF+DNIibtgH3qRbqnzYiblzScGoD8mE4dcdvzpfV16EgH4VtSpa0fu9o+AfX3ybjQH7Cpz+prqGt34Rr1xdMkPyMx9nPB9+W12Ab2e903qJ7YjbOLTaYAtpCaCvq71Sa9UzrbSBXg+ziHOdui7Nw3pZqf8c+xKI5JHuBLEFzbx7nsZ5zQT7DhUtDFGsnmi+1Wfh0jFY4SgWGyQiiJeon6DRSuRXOfVerIDikkXUwp8avWI9Z87LMC5bwBeECJANiR8A1wiH6ndgvamMDqd+6TdkdZCtVKJoiGt3uTZD73WwqEeA1BaRjOHUnyx8K9Q98FT55MMxF3b7f/ReA7Bv3mFeOv10AhKq5+dmP16XrYNSWYNJdyGEgS+Luaz6AvU9qGFpgb4f2ihrqc6db89Al01M89oHAVZJ1qBZoOjOYlDxjQxM8ctMgvsNxJg5NxsF/+oN8A/IePq1bQF4CudrdO+HveSDTQc4In7bu54ZfntDgLSWi6RzGil6YOOdlbXOe+W55HfMEui3QPILpc6/PCnhlGnSyGC8x3y9csOyIkBc+gZklTL8TOzvt7QHVb1nqA9+IsD2k+iMtpm36/wECDBRBYkYJAMPgJOAI4MVwWkiWP5QIYhjdxsDeH8OkGml+ZqcbRq0WwfkA2PXbEOA7w+Bp4G4R5gfTXrAl09/4wDpQaw+4bhs8ujhu3MIpRUXW43V8bXUlWvxOAPyxHDjAMKguwq8+6qnyJcV/vzwJ9U6FWW/B9MHB+rhjAGdD04u8+CFl+xYZRpNxsLlJRR5atUj/L1sGDVHfwCvNNjYCewLTfg+bf+98HbLbk39z1Qc/RX2oWr+T5a8b8DpaKQ5N4aLX4eGiFA6j2sOW3nDZOD/7rGFQB2gOXOXuzUj2vIh8Au34rPG5hsH/AT9kwinVofXr/niiXm241eJ7p7xcVBceAW4mhcNNwLpi+Ee1TD/jv+0Plxjqgms1ZtXM7x7YSd09byr/fLjujYHFvyiUpJW4pVC3EG7CZlv/hw3hmQVId5An46ZrgP0ZCfI5SK24ccnC6zGQ68Orv6gYeixJkq19NOY6OX3MDkITXa9GI2wG7osZAp/shJpnXxQ3LiH0bYCGeL+q1N5vKyjTelkBclDcffbXh2i0P2hS+BUgJwRcrwFynqlN+QY6Tw9iPbCf8wfVA7kcvv0KBv9U0dQt2zS08naToAmMy2Q8xX/nTocW28LCAY3K+oA3/LL5YPBP8GlgkbLRyK8nh0tnaQDDllnT9/L3QQaB3AHyNHz1EdywEbqKtbmz8/Hwy1f2EXrP2GKjoV2r+FpF703vR3ai+UJ056oMsSPgCWmKimHkSk10GtzmbL2oddyQK7+R//b6fgX95lcF+2uQ9qjD/yFx45KF14EgP4LsHW47U0bDNd8lJSRzVCaqlQU0AdkDzRO5COQD1Dcz9DxTPvjlYpB5IDXixiXAPl0DUgpSN2281qbMkILjD63/2jXQ9ZMkzAPvfQjfRwjkTDSYh6cLEitB1RT+Lgb5GGQuSEeQ6kH2KXPOn/EUvDXMvDz5L8iFmb83L6vIY874zAbnSE3W4jD1z+z3WNFAdcHjoHwh34Oc5I//ytf+dseDzND8kmc85fcCBWQ2yInh0Fj2BblP59/7N1WW+9maF7MDHzkfD+v6hvwMnRz1F1rPsOaJi1baCJem0FgqKRPSEoEhWc9Fa2pdgHghdgQ8I6628McEX2/5otbvOz3Qh+kYXHWiNIGcDrLK62YSMm43E0HuPDRXYN+4+5vCJ1lBT9AgBpeZh9Nv0QARsSW2z4GngUal6xc3Lt77kC4cXPkRzP8BpF7Y/FFV1rWIgl783hQAWwRH617L4Zs5qDVGe5BqFd/pNA2Grgggv+0uIL3RiMvvgZyDhQbIv8ajwiVT06jyn6mQdOXHUa2jqb42L0u1We7vFTwO5mVBoMHSoEV9GLQlmMsGmYPHYDc56twZDZy2CuTvIPvY8Flx5nuVaaW9atXT2/zkIRWipWbl79pHGLUQLrfBKX0qBj7MvlDpur3gE7hjQewIeEZck6CGFngC5BA0qfiu4dSfrAO6T1rVA1lOAk3oQHZFTa08h7530dZskFPj7nMKn6JiuHJh0g7kppB1Fsgr5tjcBLJf3PTKwrEhSBkhhOmPZtyzDwHdSiseaqye67rAn2AQZBLk+IJx2Gt/2gWi/QE5xlwz2wZP6w5TsoW/rLbPAXnP+zicfjSq2V8C8gZITksZaH182KkEwuEB+b1eWH31kQaLClsrnD4f003yygN+ZJvxdfTlpqLtDf0B+nwVrEVVoInQvwY5OqDxLNeQf2Pyraszgf2aMCaDJ/ysW2iqjsdM/HJG9q64fpenaGk9QwXBhhNSwuXD96kgWB5IZpT57B7tM4XQ+++G/t8mxZqpAOFD7Ai4RpiiYjUzGP2b/g3zFvCr6WoTHvwhJGnRJL33Q/YC+QrkGvvxii+qGupz+UYE7ewKssXppUF0/kavD9AcW8lc1M3D8EPmhct9IEfGzTNpuD0K8ue4aeQeb+eHsBStb9yqJpyfPOivbbt1reQXVGP0IcjLIP9C/UUHg3QC+QPI8SAHYGu6GJ5pvnMaXrcWpBU+fJ7Q6Knfg1wVDq1z7yEmnec4a8NqHIb+AnPecnrhpeM8e3xU2jv/Yy+1QO41L6i6qfBQPk8GLYHuM8OP3pqu+Sv348o+wHufC9qfbN/goGIrdP4wqLMNyHyQI7z3sXwfufBVmDfVPKtc4H98JI1u/0uvUByEJQRqMfMyfPEyNJoArcq0jYYTrC/yGo+DltPhKtuLFqd7AsgDIAPDnF8FSBbEjoArZCM0NdK2+qwIq62qoAlEzSreA7k77vGywc9AzaLOi6CtU0FmO+etqPhYHgEZEDevOMDzAJBbYcEaGLApCVoDkDqoxUHkbfvD251wgAbD+dns73KQJt7btlvXmj0LcjhIY5DWqBlhCWqO9SzIZNT0ayXIdijZal1PeEG6MvtRVAz911Xkw4m90fynH6G51VwJgyaffwsyyD+OXlM+yIEgK8NsI62tg805dGjc88IBrgZIB9Sv/WFMM8GsZ/qDPBRO++nzNjuAR7mW55LpuYToyi7Q0KTyp6mJuNW4NvFhCi4HK93s5q4XU8kbN0GnGe41alZ77NWr4EhPAqV9nb2WZ/oN5p70AAKOAAAgAElEQVQvWkfDCSrUtSpTjV3Ffqm2vf/WzLbs8whW3q5taqD3Mvnm2nXQblKSL2kKECzEjoArZCMUnMJuC448Ih9NZFL4iwHyOMhEbIJ8xB9V7apZcP26sGmq7XX9CIYsc7JZRUUXc4yWEJA5TTR8ddYzSbocQU1Vn4mbLu5wdsdfqDn3YvP/tqaQsru3tgO5Ca8Ol0+zPrSMiowX4JvZ0OatbO0VarJ1OWqqNhXkLIf92gu9lBodDH7eaI1qGrbbrduZz9odHi+b6rDPD4P8JYrx8kdLORzNbfslOfLSoaa0jvruHofseVsqGrjj4jJn+4oVP/RYAlPGoFYNn6PWKrNh6HKb+bUN5N8gl2IR4dsmENGeIH80hf0/a3AYv2uAv3UkrD0204ev3SSYv4Q0/71cF3D6bptSFeYyhPtNasKZkdTdBv8Syz7A5R/YtVtJfVvVD7Hb4nw9ixbAH8SOgCtkIzShDLstkAvg65n5YiJjgf8YkE/I4cAcf1Q1CX1B89JedFE75RiQxQQUrjsavrKjzaifzcNJB5C9Ko5BOOajIDVRzUAs6S289E3fuWa9U540D7bvp31+CuRe/zh7X9dyB2EI32QeDXqyOZcwbApTV6Jmrm+DNKqEj2aA/C3I+Zii9dAV0OkD5/xR8hN0mFbZ+OQ4PP5k7gG2qYBA6qOa3b3c9isqMMe5BE1jMxJkp0qerwOyIhxcrPaSfmv9Cz7XfIcG4ToV010BOk61fva8iai/55sgG0EmoSbbh9tr1xasQi1ODsnsi/c1wL8GOrI99inSXAag6dMV8Z4nGpmzeZkKcdlmvhXX6dz+h10+ztwXLnkDBmzJRS/7c8ptzaHPnCRdvBYgWogdAVfIVilNoDxOACZB8YyDdEHDzR+YlPGqvM3m46Ntz76P9u94N8WxGadBIP+Km1+Coef/Dievm4eTD/Twdv/FYQv9IN1SFzbR+Sn60PTsCwvXw9nPOzmEgfQEeSzt894gS0GaxccHRcUVI9mV+0WFfzgBaQTymcNndwLpg2rdXwFpmOpD43Fw6RTNQzb72SAFwCwc7gC5IWiesn/+lmYg41C/uRFYRPk1aTEsLh5yQLNzUG3uyyCHOXzHANlASOmGMoWnFi/CgrU4DGDiRvBR/7jeZbn4AE3t0wbV5i5XqxqrtfnCV4Ongz8hLkJrmwPRKKMN9PP7Y2Hg5kxN35W/6ecxUjHgjzWOuTWBg7dktrFJoPtK1TLmGk9rwbyqxKcogEcejhsBV8haR7ML0ScwrKT0siuaty7vkimjUR1X4iBsM+xTVyNSpdOwz8pwg/nkDEwxC+Ru1Cdp78z3vGmT7HP1XDLdHW8N2gIzHwvykAjyH5AOcfOMO5wrn3eoX8t5IPfADevD3uyVj7OTX4dvLuPD5+tGkEdc8MltIDdlfXcxquHaIz5e2KM9tPxVTUDLIyR22RZFcBj0AsVVAm1zXR+kB+YvX4vSxArNA1lpGhxvl1b2Wh2Q40BeNC8N+kP9I01T/Jnqz3XiUXHxTw5aHQDyJGol0drD+x+DNI4I10Go332l+4KL4B9H6B5+4lFOtXUg1TTvp0hFCMMSK4i0IlH53U8ZDSNWwGVT1byyW9c0uqZF5x4rmZrA7KTsKXoq/ldkCXXlPoEnT7SmzWkTvGhfq0J8igL44N+4EXCNcMaG1H8NnDc9rNt5beuG9XDFf4OsH/W7ybtbFpCj0ZtfR3mtQM6Fb+emxuvCVzXwR3hBAuwXtKZPgzQBuQHkLfQ29zMVCif29ppKIXORT2+v8UJnfNxxuppWdTrRxGdMQGO1s9nHCsENkg5uTImiuMWMz7fVfd9QrdQPICe44JWnsIhUCfJvmPVE1BrQTLqXR0Qsz5UWmSbwKZDuHt+tCd1nRckzptD+ehg85bD9k2HuezBke5J8izIv95qMg8mjUM3NHV4uOLS+gQuDTquQg641zH2hizPcsgWf7t9bBIe5A+Sv7nGJ0hKrqBj6rvHDS6mxv25DWMFOKhM2Kwb76S0pn8DcuR+17tMmqE9oKjpo0HM47gB+BYgXYkfAM+IUFas9eriMCzIXU9UfYJ3PgfSJm4Yucd4PDdfc08U7L4FcnfXdaNSkLySzKGcLmnlYbqxC4bBlXjc3OHd6Rbv+4QItbTWBFnSaBdIMvaH+DqR/AOPVDOTjuPkmfL4M/2ASl7mMHlqt+tZ9FjapSEA64iIHnPnODCyCm2iAh6GRH+pRk7uzYcSaOOhu4vAdPpJUR80zcO/5aq6XW1gPc74kTaNgY3GxFe7xFC06rsMySCNYsBKaj698fNMv0LrPgs8nZNW1C2rJc2TS+w/z3tecl/5iJqA+n/eEg2NlUTmtgv0MFGi2Bc5ZCR1dR8IOY54F4cddgPyE2BHwjHh0Nt+zMX08AqpvD5D1hJjo3jtu1iaRqJnTdJA/uujnwWjut6Ks73cyado1/H44W9D8HNiC0FagESj/Zv5fF9XkdPTJZ7eD3B43T4UNOta5fVv8txGHb6vsDF9M1ENret+6LTZztC1GfXOrpejQeBxcu14PTq6icS7DQjsfdb/RqJvt0PQLX0OX/8ajgZV9zDW60uiZSeAZHXtnlgz6bNcF4bg5JMu3KOgxsK/vglcIMfiWjll/x4Ge0vi4NlnpOdCcnJP84RK+sABSPahzEsgJIIv8jJH92Sg3z1euKSwqhmFLoftsd4G/Cpq7AgQDsSPgGfHooj99CnJKgPV1woHZTvT0tFtY9qmLai6fLT9wOuznTSD32fz2e40o9ocX4k4Irvh4PywEsSCDNET9rwzzcwPU7NZzfkM0cmuzuPkqmvGb8yZ0nhHWwUTHOLycoRZjtwcane9lzRdl5cwvZ6KJ12fCM5288iDqX/mzlcATnulg9oHqxKNAeqjgJx+h5vLVYtS8XADyrv8+RuWT5DYlyO1nww0bg54vydMEBm02Z1ffDVvM9Xo8mkewvp3A4cX33N/+JHeB3Jn2+X2Q9tGPhbt+m3viV8G0LYYpBDo2ka+Ie/Zc7rhBrYAaL9RLX/uxye1TW25e3HueOz++guauAMFA7Ah4Rjw6TeCHBOgErgc7uTJu+jmnZ585qBbQ0vzMpo81yOGXpAtYv7VJucnye2CDoqZwdhl02qabgrvAFeYmVQpyfNp3TVCzHdepCUhpMnaOm6/CHzvZ3exrKNH6Uu188hD0mBXBDfi+piD0CEgNB3zTQQ/0ng+Jx4DMt/4tLLOj7Lk2dDvMnQJydvbhOY7DDshYXFg95O6r31QZlR+e3Qo7IH8AmRI83ZKloYhOE9h4HMjvQLqa83aBlVDoMOjVHiDHo8HLhoD8HYav9irMghyKagNrgxwLspxK0mAkgS9ABhBgZGuQe0BKvOHeeGEqOFVpWh/Kffo6CnQzf7NzP7HKr5is+VKAHRNiR8Az4hFNIJBpIGcGVNde5oG1dtz0q4hbrrw0sp/LfrYByREdM1k3xil+ajxOk+h2nuHuRs4/H4Lcm71JgVwIUoZL3yQVDOQ/cfNUNOMmbUHeiaCdSSAXhNzGYag27PZsYSj3e5dO8XJIVN5t/y6MWGslYISxxiZx7luMwxt4iBoZPB5O/ZvdagKlG8iT4eGcDA2F4tLjh6D41818sBYKB5Vaj9OgRSD/NQXHLSDz0MjOf1dBsMMUP3MGPp+g/oGDlkDvL6MeEy9zHrU8uio4HOQckE+8jXe5u8cogVYCH6Sfjcy+tBJos9UM3tI0S+Bras03zd5J+lpYgKoPsSPgC3mKimHw99Dzy7A2HDQ889kB1dUd5KW46WaNW9u3rRekm34D+RzNJVYhF5RNP9/EwucPZE+QS2HwUq83m+HTQW7HRYTOoA61qBbkU4vvO6P5xw5zUdfD5GkOSg/j9QTINRG0swLk4BDrb2COs+tx83bIcipg3NIMRm0O6lCfNL8xi3EwUM1J7Ol7nI6rjuWgLc6Ek6Ji6DkbBpTGLaRFQ8N3roMBC4LjX29CrgqFveda837vuSBngByEhcuFn8sYfbf793Fqmzxoqg3Ukujw4HCQndAYBY7X8JS/f3ngt1LRFA+XiUb4HJLWl1Hmb6dNsDYdtTIZbb09yWthAXYMiB0B3x1QfzVfQTQqqX8SyLn+6ijfOEasgY7TkrbxgjSBBauh59LMxavHD6ZP4Lkgr6HmibenL6QVzRzGnoWG4N4Vde5uBDIGNSndqAJit0+TegMG0hcXZihBHWpRE9o1IIdY/DYI5BuQ/R3UY6BBQxwlGM5nMDf2NWEKZ2Y7B5jthJXou6kpZHpax7yZWznOKdaJAC+ukqwJVDqeNxFu/CkJApLTtQXkKI0e2fTpXMJJvpufefOnk7+BXBs37oqLX9/z/MwB50FTfRhqARPoequBtrp+5Nwvsd3klMlnqVSMAj5IUiag5YHhLtpqLfCNtZjHF5fFPTYFKEDsCPjugCZ9Dc3HDk1ncKH395O98YKcagp35ymuf3gBbtwKV3xQUSsgR6EmKmtBnoVH21bs24ANsHCdKZyvAfkSdU4/F1OTmGSaoCaYbzp/PrhN1uRly/QQILeAzASpVUkdR6MapdCi1cUNqQNRt89g5KoIAoW0xGXaBRd1X2LOv5bB0MRvRNwrZ2IGidE6+86D/guCEoqSOveTiJf92tLixSwe+gsO8r4lQSCIenz00lFaxY1/XDyWBM27Bn4asi2z3/3X2/UbtX55IXja917u/qJslPm8XU6/ElM4nGf+X/65NOvZURbvWmkN418LC7BjQewI+O6A2tz3CrH+V/DhH5LkjRfkJFQDcbH5uSYaDXV0Je/VBhliH5Di2jWo6authiZJviNZfTseZJ7z54Pb2EEuBXnb5jcD5D6QyeQI0gMyEOSRuOkY3vjEcZCS4SB/Dw7/cm1Gl/+qBie46MPO8bBbl65bC7IcZj1e0TIgqFQCRcXQ87MkmSQmcZ225vW+q2H+cpBG+vsZT8GonzVNgVfBv13izc/sc2bmHh/UKiIws8JgxjS6fS8JfA1SAnPeTvW7+Xhz3fu9zfP3gwyJmw46Vi026HNjLOaNCHQ1BcChoong0zWD6e2U11P+WdfSpJ6DCrDjQOwI+O4A8gBIv3Dq9u9zmISbOBu6HY+aXLQ1P1cHmQjyGA61SNDuvST2zSdd9kTNVl0E5ihfyLvPhhErvAceaFEfRm+Dy963DtQh1VGH+ZfIihyZwmH4KugUqsmxs4iF7k23nLVdvpmXSsoEp0Sg4YQg6rfhiceDuGiyPtR3WxzHxp9LmAY5SoW08A6PIDcSQATO4OiR1HW6qFgDgwxflYoqKK3UfN9d2hL7g/CNm0D+BFI/s93g568HPqmlF1s3bHY7PiBFaKAVz/ke8x10HPuvzwxu0mIDLiNY+xi/I0BWk+XTDtILZAaWPpDyJcipAeJQA65Z5GV+a1CXjht0j7GaO81/hbai/oHp2r9Rac90mZ8KFlMQ9gqQLIgdAd8dUPPEwcHXG1TUxzOeivsmzoJmx6IJoi9P++5uVMvkOK1AEm4ZQ6CNAbIBZE8P7+4Ksg4Hvnte+Q1kZ5C30OAvRpC8GhSeYeKjh1Ir/4zOWyyisgXSf5DPQE7zX0+y5kuuW+iwhaLkCYHJGpssWl1JVjRP1fx50WxYzct7zgO5A2QpyEyYegtctSgqbbuVwImmLvkH6nowHtq8Zd3ftpaWEybdTgWZHff4xcw7RfD+erhiU9Rmh+Ze+jbICIvfqoF8TJYrDxpBfSMWaSw8+oTWVWFz2DJ//pgNJ+gek03DhhNs6l1YEPgKkA8QOwK+O4DcCTIy+HqDivr44T0w0FHktojodRQaeatr2ncDQL4C2ctdXVaHiq55b9MOMhfPiWXleZAewfHb8DJUQ/tvU1AfA3KD+cyXIE3hwlejOsBWYkY4A2QSDFkSFj7avtWt7DzRG9tg5xkafGYrSE3/uCdT2+RunKuqJjB5PoFptBpMljmyV17KLfhLdZCWmrw6qvXEiu4Dt5jmgrdiuhRYP9dzqfncMCwsN0zh+em4xy9m3umj1kxW62XjhWFqekE6opHFLfMSgpwGC1ZAs+dSeLzYDeRdZ3xidfmYLiS+MQgNUjdMA9z5m99a/3VroesnqcuK5K4bBSiAE6hB/pftwE7BV3tQHaiZ9V1N4MA6TmswDM6GRh3g8bOg5RB9t2wZzCkR2VAaKLrO8KkHvAPcJMKT5ncXAzcCZ4jwo5v6RDaUGkatFrDgNji1GWz5ESZeEkffAi5LgEOBLzy8OxG4HHjU3Wt2/LZ6GfA4sJcJewL7A28C5wPT4IQtfnnVP55L5wMjgd1hw11Q85Bw8JlTAge3g5q7ZX4/Hni4KIVbTeCBw5U36eKjwaOAJSJs9lGHWZYvg82kcFwMPAz8Ut8wmoyLa12wLnNKoO/pSsOaKN59F+j3/oph1CqGDpfBbnsZxszfJaHfmWtZw0ZQvRq83CJuvMyyF2Svzdm8BPq5bFmuisz+WM4HEX4FJhnG0lKoWTfz17DWkwa3pXisvJ0/7QbnTxSZNjod79T4pPZReFiAF4FGhkFPETalVV4fmBc8zvlRDAMD6Asb1kLNQ1O/LAYeASbV1XHeDPQ93TBqOeJ3nb8NbtO9YHnGeSb12yG/g6NOgXqdRXpst66p1kq4cld4rUNqjRl5IRz8BDTKetaKT1Lru7bb+p3M9aqkAyxsI9L/dViNFf+4m98blgG7Ac1E2JJGD5/1FkqhxFjilkL9AsjNIGODr9ffTTjI/qbGzVd6iQDpdBjIItL8J0F+b96UNfJZ9x6o2c6hcfczIFo9BNLX47t7oeakrjRHHhPqHgJSqsnto7q5b/p0ZW3Z96V9hRtebzicZmGCkx19rRz8adnQFAmBRKrLvDUuFQ0mkNwb5DCCFgRxcx62v5qu3QvXZ2oo4owSKveSFSgjXJPr1m9GsZ4onQeU+p23qBn+I6gFx9Fp378Mcmlc4xY3oOawCysG1bGLdKnja22eW/7dudPtLC7c8qT9PnHpOxWfza35DsJyIde6or9d9B+4fnPc60EBChAkxI6A7w4gJSC3B1+vnwStUg1NLfHnuOlj4nMwyHzSfCdBDjWFVN+bJEhvkIlx9zO4cfeXTBnmfQCXv+/Od8FzCPSj1SSql6vw197pM/nGysybrfvS4weYvxRNF7KL/zHKrj89+pqIl0OADX3/BDImWP5qPA6a2+SIamppvpaUQB3++293WOs4DeQikGYgJ6Nm63XQwCDVU++Hb36lbQzYGMV8csiDT4B0s+eJIIV0ORjml0GvZUH038bfr5j/+fv1/yaoeWvuQyvh5T7a1g1bnERNrapgCsbXVZwzdhdm/RfAC90q+oO2KYUrSvV/OwGywxRo+7absbQX7Lp8nMk/DSfAGVty1e0+IX0FvmxqHyirYPJZgKoLsSPguwPItTjIkeSt7qJiaDkNWv0MrcpUA+FICBwB8l9sbOEjps+BaKLxa9O+qwXyBRYO2x7qN0BmgZwfd1+DGW9ni73doVy/v3qVt8sDrwmB5RSNFtj27TCd0UF2AfkeHmlbGZ5WfQHZB/VvnAlylP+xSq9/7zNh0NagNupU/cNX6wEnaG2T3aGl5FeTPg+D9Ac5HZoeU1UOIfb9HrbCvDibaq4n36LBqzaA/IpGeVxpn5YmOC1V0oLE4DNNkYt2dgP5BOT6IARM6/V0wAZY8CPIn3VvCvaADf9qDUO3V4W54n0ci4qh+XNQsh3OeT5Tk9d2svoCWvH31XNh2PKKv6X7YNulShi+Ckb+6E4Qs5tnJVtBPoB3roO236vFxDypGAys75rUvtt8vNM5a81znTZaJ3lvPC5p60EBChAkxI6A7w4gQ0DuDafuomIN4e58QwE5TQ8rYvtMuPRIF07Ofh6+/RakJA2/GiBvoKk1fCcUN/u7EItQz/kG9ov9GU9VpLHVwWV0U2j/bhwbBsg5Jt+dFGIb/UDe8FmHYQo3q0C6BcGDZr2D4KsP1fTJnyAcjbbJjtfOegakkUnrf6lAOGZ7VTmEeDR7NkB2B9kfOs1wc9D0hqOdoNrvO5CWVBL9N2itLcg0kLPCHRcxQMaBPB3cnLQb6+bPWdPL/wXWjn5gdx5AxU7rZcX76YKfvSmpW9pb49F/HRx5BEgrDWiTLoCWpwUaJdB0MUz5UTW97adAn9XQZ72zC1w7PMdKxb63nZxPAb0KUAC3EDsCvjuAXANyXzh1u13UpLYpEMXih2C9qPZbm7otE8MU/t4gK8+cD/o/CnJd3HwQTF/sFvsxgoat/gFkDoxcac0XozbDiLVxbRgg7VDtyZEh1L0LyBICSJVg1nc86sPzNEhtn3UdhuaiOjoY3MI/SLrTOl86paocQvwK2NGMjV0b/b4GmQLyI8hyNFXLHSCdTX7eKYwLBF1z5Phwx0VGohro3QOqr66aF0qkfBv3gT1us22n88NO8LZ+P1sQy9bIeTebzMRjyBJ4fUDmWNppHltOr2hx06ZUrbVyXyb8P3vnHTZFkfzxT5OzCRUwkEw/RcVEEk89AT0TCKIoiJgIIghi5kVRMdyd8e5U9Mw5gznAKSogBlQkqoQXBcmgL7xEpX5/9Ky7++7MvruzPdPzwtTz1APv7k53dXdNh+qqb6XrSGq+2S6SnusvvgmMedtn6wIUJDx1m8B5U2DIL8EABOS+oDgHrJeCOpDmJm/2yQrtpjoNpJ6Z+mQnZ0O0q21dCLb/2j2DdqHdS2/2ek/10gvbCwY6LmY+SCPD5Q4EedtwmbVAHnTkbe1nA+W8d++CXG9OrnA2krnegNjWKdNcyM2PE7uzucxGczMGk1+Xt5l1dG4vkFNBhjvz/hyQ9RpC3uxYofP3BQa6BXJyvnV4xPrtAtIfZCLIChhgLN4vd7nsvSvuetOjRIOphHMgLHTucm9DakygiHab7FACp2e0q4CQBoU25O2ZPpZeSdq9XFpzyfuX0BG3A+1Q5/OEi2inSXDk+3BMqb6BHOm0f/tyMY5522XrAvgW3KrLlpufufR1Dlg17PWJ9wIA0g19k2NsM4HOX7XN5GHKVaey6UUUgshBrkXnEMwr72OW8mqgb0GPCkjerjqmsf/KfPsNpBfItxiMv43aoctdp86btz1uQvTYzJKk9T6xKTONXJn/ZlYbNc770n0OvnIVOg7uHJCDyMMTA6QUpE4w/SkHoN3I2xWmj4PWwfwSkBecw3E1G3OhzfkXjn7W280w1/mssJtEsyiZqfHc5kGIXPRwQaYcXYozUZTPLYbOvt3CkzridcA8djmcvCUZI1j2cNijxKTRKeaYbbJ1AXwLbs1lK3PzBdJCWz7lgGj2yenvOvIZixdzLHezQY6xrQtm+7D8xa78m4JgF8wcx+YukEkYcO8CGQTyZrAyd3wtd4NLon/P+hSGr4eHTjOvA73n29hI5qaXg+bDlw/ZksUm23b3K18+rzn4rAkgI0BeQYPerEe7Xz6Ojms/HmTnzDFv/xyM2BrQxntHNGjYhWbaeOwLmb8Nfy4stM58D2Igh4DcCcM3uevmDZJtPkuv10T6lLJlDN0CIyJ9aAG5GORp9/a0HKPRlE/9E5yvkP2ffr7VGOiySR/Qi8uUc6oHcvPIvOqJOeaKwNYF8C24FZetyxfC1CfTv5da6NimPvb7xG0B6FOsUwjIqWb74/yv4Zo12+NtRKZeRA+yH52m5Ek04qLvWzI0YuBikCOClTe39zksSz98MAyG/BTF8QXZ3bm9OdS2LOG3PVq3tJny5epNIHVA2oD0A7kf7UJZgr5xfxs+/w9cstS0nqcccD6CKxbD1Mdy+G2qy+fuMGhhlA/i5sev53p9EEl1e5SGIMPQ3j8LQUbBSa9nPzxk76PMfH6J5/PT7cy16aMRaJf7Pf30STj9Lk+QR25ev+uA+3PDUg6C60QfOEUy+YacxjHmmCsSWxfAt+AWNgNo4Je58PbA5OI48EeY9hqGENUKlzGxAAxdBud/CT/+CHKZubK3Daj67YFBqqLh5Z/FJ3or2uX39eBlzRXQIJz33jk8n2N7DLPI1xedhqbCo/Lm1263Oej8BVGagwqIi6oE0hSkC1w8zXxsoatnS5YUOG7IjfN/1QA50T2IFzZ2nmkLRHsBvTsYHYO8Bg2KdlziHcztgPFnfH49kKPRKMCjQSZD0e9BHa7RwD9zQHa33cce8s0FaZG/Pufrsp0NGTSxn2k5Jr4JjHl7YesC+BbckssWPHgqDP09vd7e86O0CdFyypXOBHaPuTKjbYWP2VUPaqJzr/0rX0OF8+wvBJh2IllXrq7XZW8ME+huZ6w2dWMHsjPIbyB1bY9fFhkrod19c7aebyucvvm76FuY+WFUjHDm2mje0yW/GHev357wStjGwDARN7MjRK8TfXsq5+DhZp/iargBTpP0uLJLfoUZ76Fv5UpBvkDnAx0Ecmw+ue78tU1GovMD72Jbv9P764RXYPgWfRMa9P7N871anbztdnWplWRMYGz4jnnb4SpUUBIpKVbqpRtg5F0wbyYs/QVmFImUFAdb81M9YFxlqO38XRt4oCn8OAroFWzduZFSKOAC588rzZXcsFGy3QmqDTRoZK6OmEySCBuU4nRgAlAE3JLH4/2Bz0X4JgjZUkm/z/U6wLxRWp+a7Af9XxF5qjj9l0t+gVK03i0E/g3cBKzcCR7pCXt0Var1+zB7aAFzQRdgnAhrfTcoYBJhq1L0Bz5UirEiLLUtU1jkjGsvAKWoCnzp/P20RbEMU6qeJ6gUvc75pXzmb6/f1ts5810Nbu1Vql4T6DweRjfX9ZcC/dsoVa9DMGu9V79Xcj5b8L0Iz3s9rfumXSk8UwNWAk8AWx0uWQoHPQZMA+aK8Efqs0pNXQj9Dy/T1nkwo8hQ424CagHvKUUHEX4zVG7OpMezxSitX/N/g9MOg4cbO+3tGezYAqxf6/FevSMy+c/9W7p+L/4NNgPFO4S3z4wpptd8BMwAACAASURBVJDI9im0EHYsW7eHW2e0gQmcfhmBRkzcSoE52NLLjW8CgxuzYK3dIA0cl5sBOf6+FjoXWt5xZybaAtIMZBXI3pllJ6y0CRce79xVPvvqPZCzbOtEjrL+nW0IoddnHxwOsgykgW1ZzLUpiHyD+dwEnvNpFOb6sNec7C6duQKP+N8jpM+d16yBsRebbZ8okP/AnC/hL8+Hmc8ws2890z8YBvdL9OcZH8CEVdB3WRzSEnPMmq0L4EvoP1/sK1dD94/Chd+P9kEInbi42Nn0fwzS0Wy/xzGB5scsLLATaYYGnij3gIMGPXjVZlu0kWf625ngFH+6A67WdQxxNhSJlAG5b9hc6qzvuILWtq0XOcpbG2QBSCfbsljuh1tBIhObbaZNZsGn3N/Ni35xAa3pC3OXwgU/2Z7rbRhdYUhrGLoJuq3X80p+boCm9gggp6ARuHNOJ5Jbubs0hYEl4YfSlO0Xr0TwZsbWQ98XQ932UQZ1iznmMNm6AHkLbPkgYrv+7LLJX9CogS2cv+8AudF8+094BYZvjidQU30anmEBDWe+LNuhwTlYLAU5JDnm5d/sgVSGv71hqi3QZn8YssULqS+ZM+4CSf9NwnKf/2YC5BKQF23rRJ4yn+zc8ta0U394MVtZ+qCGs2Hubns8oszpB8szPoAJK6HDq8mxm3i7Y1TYJwoIyJYA4E7X3gB+AX7M7BGcW7uPQC6p6H2q6y17oE94cgQjR9QN9jHHHAW2LkDeAkfgxQ57ccxlkwWyv7O575jy2ekg75uXZ5emcOMfcOaEfNsfhQ1jFNhZ4BuDnAODF4Vp7QZp7xgLWnt8fxXIy8nxctvQNG7uHCj7oEFnJoKshevWm2pLdqS+XnO1RbdDifdvfN0EjgPpZls/fMj9Msgt4dcbHaMYSFu0C3N92+NREViPXf9V6WM3ZDMMa5Pbs8HP47qePgvD1C+Qm0BuLVzuwvcIIEehU/QY80ywFdKSOZ8XS2YieD+HZddUJgdqhPTw2xlzzBWJrQuQt8AVICbPbHvL32SB7OrcBFyU/uwFh8OITTonlCnkRP+bvihtGMMfR6kK0gqdGPolZ2FfCvIqXDDVgrX7FKf+A8t8XscxJji3yV4HsRu2oCHHn0O7jh4PspNJI035SH0D58Kg39x/0229D8v7biC/4oH8F2UGaQSyAuT/DJdbBWQXkH1AjgTpANIdfWN6FfSdYdsoV0beu0GetT0eFYH9vquFrwH5HR7h2xdh2FK4yhgCcDk69BZIV9vjkyLPCyBFtse98HqfPzfTs6NLsUZT9XdYdtfFy9bCvBVw4dd+2xkbq2PeXrgCooN6oXdt3WxJoICpxagkWhjof0c318hV9FKKGsBY4CURHk085aCqvQTXVIPax5lDVfOSZ7dJSvFd9mcvOQRubuTVFv8yRY+UYhegLXA00A44ApgHTAbeAK4FFoggSr3SBLaURcAziQqXQSK8rRRXopHijhFhofPVQGCCCDP0n14ogbMmiXBc2XKVmlEE/duYaUt5SH1btsDKL6C0Q+Zvfn7fh553Bd4RYX3+spZP6ch4S4yizInwi1LcDHMeU+rCeal1QMlqYEeHd3L5v9tnif/XBH4DfgXWOP+m/L9q7YghBhcB3yn1+sXw9+OC6Otth/yiPXutAb89oBRD0S9gKVAqwp/rcj5In8l3Ze8msN9RcOL10PF4kVDWiSPQ82BUaDjwhVI8LMLywoubUQTXdYHbawe93iTHsdGesG9L2KUIOh5sDlXWTRfvqAOnvA1fXwubPddVr/k4fETamGKyRxXwEOi2yRy6FO4+TCkeBK4VC9DHpihzYmp0uNdCrRSV0BjUP6M3PymU/fDoX0KvjcOaFcC/sj+75naoXWaDURto00EpegEfmFnkzFJ5m3dnHPZHH/YSh76GwOfoQ9+twBQRStzKT4dc37sJ7HsEtLtc5Olit9+bIhGecQ6rHyhFe2AjcAVwfPJXtWq6H8QWL3IvM9EWnof6jeHzD/0v9G7v+o3AIOf/06c6v3FZ6GcPzb8+zqJcHfZHhWwsHENPDge4mXvB421gXJuU/uoJC0qh6RpcD3GsARbgechjnQhbPeTaBWqcZz6VgX8SYb1SzxXBV0/DuCrJfujXVanD3od5haQO2cbIbxqKRnu6rwEHHoM2cNVxPqitFMKfh8LL6sLweuWtSe7vytAroeFUaOGzrbmRUjQCqgI/BVpRHiTCPKW+fh0e+USpZb8UbtQo2RfmroKT3oBdGwSV9sBjzrsEZnQQmey7rvT1uPqBOhVHqj7WBnbeLVsqE+/5uFEn+Mu/gtk7xRRTBMn2VaQfdvO3165o8jAa/TAyrhzesme6Gbi7NvTZmkw4K2kuDSC3oRNG18isJxi32UJcSbyfPW8KGtnvV5CvQEaBHE0ZVDQbLhreScyf7QFyveM6tAqdAPhpkAEgh4JU9l+n9AKZDlI9HJ2UUU6/34aTbsBxX70ffpzrJyYHHY/6lpn+bzUmG1KfifgbNJruGrd3yUwfe+n+BV+jkS0fcFxr3wH5DA1ysgRkI8hmtIvuHJApIO+CPA/yoDNmV4P0hR6fhAgw9H8gc+HL0VFz8c4hltSabFHifN06nTnhIrh+be6pJqQayM4ge8G5U3JZk7zH77J5wfeJBoWxPTaZ49R7fiHvWHKO7PYRXPsrjDUKNuNep3m30+yJ3HOvw1u2EZtMxrXHHHPU2boAxhukETLngIwB2dO2POmyZV904ehn3SemkzdnPjP+GpAf8QBBCMrvP8iYQGeTcSzI7SDfOJvyl/XGY0hrG5tN7368agXIXSBdQRoa1mEFMpYCwQnyrO9Zp32HomPjPnYOuDvke8jSv+/8Hlz9m9vv/cUFBQvGBDIQ5Ong+tjLKDNoIUiRU39PdKxmO5AD0XF+Nckx7UFY8dIgJ6KBhfqEMTbm+joRSxqjAyb7qvyxQ8eF9taHfhkPT3TzMxd7z6Wnv5vb+A1eFHx/FA4Kk3/fZwV8U3Dym4Ws5bZi8YOYj7IbeHJvm7dsZ30KA76PUpxzzDEHydYFCKRRSHVnMl/pbK5838qYlctrArtmNcgyGLHVfWIaukEvBImF+sVe+veyn3ddwU38hWz68nkWpCEaffIFKNoYDVjrBAeNpCYNnDE+KhzdlBucts1H36aP8vPelH/QjxY4UFIfr1oTZM7RMMAYgq7DMRYMQt9QtrcxXoX1w8hQ3t1thUEqg5wL8r1jFDo2+V3+a4D7u3/JEpi3HJ3OqHr28es3M4Q2hwIKk20eRN+yX4oGEFte6M2UPSAYkyBhqblhE7lgU8s9dWl+unjcS+6yDS6G2Z8VevMac8wVha0LEGjjtDV9Itq9qkVQ7oRJl7XTlsJxSxN5zFLk2E0fZq5Y7j6Z9/pCH3i8bgKLNoBUcspqoRcG+UtucnUdpze49i30hfVx14/sHMbspSQBORtkFoG5KCbeh+4f60P25/9x2rgGn0m3vfur/yyQJ2HooqhYWcM8kOqch0O3BFmXe3su+NmM4Ueqot1PZ4A0Nad75l273fshkTtynUDb+RV5LgyaQSqlzD2TQP7qdz7wHve0UI7d0Z4700EO16lfzlmbPn79V8GUe4Nrc0Ku4Zug05ig9SPLjdYGxxD3GPr2de9C1yB7hkxX180t8EqfwstJvM+59UX6fHPiWBhfDJeuSS9z0HqY8R5Ijah5N8Qcc1BsXYDAG6gXtP4wbxUMWG16E6Yni3OLM33Uz1wMk+9Ex/Cs0Va9npOyTebuk13fZTD9LactDUGKQXrm0f4jQL62PQ6Fj6Mta2bdJnD5xjAOCi5jp9DusP8Ipl1ldW3IFni8K8gXILf5K9drw9H/R20IuXCajQ2JbZ0CGaI3GMFuLNI3L+d8Cj/OB6lboOw7g/wP5G2QegZkbA89Svy8U7keHr1jSYeJjrGOLfsu41wJpJtzGJsC0snU4S+HuhVIL5i3Uh/4Zom+8RkuOhfoM8+AXG22zoQudZ6s65iVtz76r9trnuwxyV1O/8Yqu4bMsoepJ7qhPVz2zb2MlmP0O3yDJG8BEzf75feFx75quZ6H2j4D3T/R4R3fvkAZHIKYY97W2boAoTWUDq8GEyOXzUe9/2zHilpN/zaXnH9lJ81vX0aDjdQG+RJkRH7yyb4gc233f+HjZyuuQU6HH2ZBOytWQXQOyCX6cGbu5iTbxgCkPhqY5AqT5ebyfYj9WgUumRXGgRSklh5DaRlmG526/wvyVAHP7w/yAzr+tWC3ev0edyhx14GBP4KMBLkY5CS018OOiYOInznAmU/n68NEqhtZHOOTMsYKpDPIt2iAqJPDOvxlyuK1Tg/4HuQyc/UUfrtUWP35zYOFh2CUbWv/VfZc8KUf+pa5XOOUlr3nevdxOiOnvJHlrHV7OrL83ZbOxxyzTbYuQGgNDQwtMxsIQWbZecbEKZCf0G6tY0GeyHeiQruirrDd/2bGsG4TjSQ65JcwDmOOZfxbkM522/1mfxjiAg7kv/3lvQ8ge4EsBDk//zGKbkwgOs6plz7YDFsaxoEUZCjIa3Z0R2o5m5zePp7tgLbaX2ROnrbP6AOZm+71nY2O5X4M5ANH7rUOz4aLlrnfCJTnCmbHHS7q7KwvpzgHv29h7MVhoy/nPlZDfgG50KweZosbDVY/wp4H0/cdHV7VN65yqEXde0h7RrQrBxgnm5G9UHfYcz9De1ZdZasfYo7ZNldhuyG/OZH8lrvVtWwnF0+5uWZ0Hpt298IRu8PqV+Hy1XDAWSJIngKWAPXyfCaSpPP7cD1wo4STNLgrsAWd+8oi3dYexlU1m7co+/sgws9KcSIwQSlWi/BmLqVmy82U+f2hraCSwOsnBp27TSkqA93RiQZXAv3g4QWwzDOZsKF6awFXA38zVWY+JMJ6pTgb+FApPhfh+1yeU4oB6L46S4SPzUnUfF+dhs1N96ZPFeFGF1nqwV2tYNPbcC2ZOSPLS24e1NxfMUkpFNAJuBmoBdwI9b+Bv42DcZYTZHuup5ud/xgir3y3iZSYwepHch7cewYUz4AFc4PI1ZdaH2m5GLkQeFwpWouwJYg6s1PLu+DYafBBjez65jVOszfkPk976VTTQ4GBIjzuuxkxxVTRyfYpNCwOyvLmHRPYpdhv2e6y9vYFZuBYezcTUs654MdRGoOEARVe2bmJ+Jv9NgcBtZ3b+wByFDkCEfno4yNAZgQ8jpVAuoPMRANEdUy9TQ8h9YS1W8AycvSD72dA++fKWt7T4+yOfhamPunofnNDdddAp7+YCMNLdezVMEnXvR4l2b0i8rsRSG9TyzFwzqL0+s71PT9XFHaLnwQ5AQ32Msu5EW+p/+03Mxpu2l7z0sz/gZxmrp5sN4GhhRrsA7IYC26Iel8wcwJc9K2Nm9/sLpppejvfPU9yqzGF6dTQ38PIlRhzzFFn6wKE2tg/J5den+vNyL77mCn30P1g2B8apjgTHTT/8szGTYGsANnNdv+b6WupDLIBpGbA9fR0NkvW4wSCiqPL9QCEdgtcjuGYNnT+sd/wyHXpry1pG94zQL5DA92cFPZYkowFtOZ2ld4/l611OfS3z9wgDSqFzgcX0vdO+/cB+YejOx/o8WjcXNdXFvijbtaUE96GkLO3wPirHYNCjaQ8XYqTrqODBDpvSf5dVJCRzpR+Bl+fZ8zbVscossE5DL4Al84zbWgqvK/SEEQ/BDnBbB0X/JRpiOg4KawDEUh/kCfD7t9k+88vLs8IGFz9Xu/z6ZMy9ban8w4X+5YzqVP9vtfzzhhjLu4xx1yR2boA1hqu8x6dbais+iCrzMlm9uYHZB6IkQNvFBhkDshBAZZfBeRHkL/abquWx21Dd/lG6NQ5rI0lyJmO1dqoHoG8B9IlmP75fgbIqbYO8iBXgLxqW3+0LF6GhA4rCjEwuPf9xUtg1seO8emfZXXGz+2rt/w9poM8CTINZD3IDOj9k/bGSPy+SIIwohSmn0GkB0mdC1qO8QBYmQNyPshhpKSeiQpgk3f7ZApIG7NlThgBA+faSgOARn7OO1bXTN12xztL/fPdPy8SDRDj38AO0hfkF2dtH2ij32OOOWpsXQBrDUe6gkwuvJy6TXReoes3mFpIArgJ/AbkcNt9bnDs3gY53Xy5iY1U39kaNCQ67mKZG+dHHwo675xLv/dF57BqaLDM60HuKqyM6G1gidAtoJbHE5J+YyEGJ+++P3cSBvNb5oasLNX14ebEX9NlusGlfbm10c8NHtr9tQlIW73OnP9FkPrp0TcbMxNqe7fZNmBTDn06HeQQw2U+h0GwmTzrrgyyCmQPO/XbBUty17dzi6HN8nTgp4RcN/h+Z9AhMdc7a9e+aMT26UTAyyfmmG3zdgQMk0GvA3crxVEifOmnAA3e0jkFWGJ2Txh8ulJdZsDy+f4DvWcUQf82BgErSoAdfD4bRZoL7GOywMyxLAWWjQ8fGMGdMgP72z0D46qYBYspTwYeVor6wPtKcawIawwU+wlwT2FFeIEHlAcYEij1ByaLMM2iDCnkBY6w8BcobeofNMWr7zdsEmFjAQKnUXmAQ/o3bAK+UaraRqidMt9Vwg8wjPuccNkxSj13DZyrgIYu3MCpaBmwRPOOgeinlq/FKDiuAzTZXeMd1XZ4dHW4A7glpzan9+8hR0H16vB6JOY+h2oB6w2X2Q64yXCZuVJLYJkIi+1UbxcsKV3fDj4C/qith3f8rpnAT/XR73D+74xSVALuBDoC7UX4RSnmAtWAo4GJ5loVU0wVkGyfQm0yyJUgvq2x6VbwYskEO/BvSTUJWAHyBpbTHBget8Eg95stM3q3SdnltWPJdayq94BMBKlloLzqIOsoIKG5TgruNna5gwcY7qPELaDRm4vCZPK86XGJCawYiahz14diSXcPza2N3m27chnIiyD3glyLdq/sBHIwOjSgUtB9VH6eOxHott7PuELXg2HEJjj7U1upIjJlkiWY9UDYA2SlrdsgkGtA/mWvP9+61HTaoQL6Yh+N0eDlBprQ6/zeGZCqIE+hY/t3KvPd0EL2fjHHvK3w9nwTCPAoMF8pGoqwJP/HU63gT6CNiivRhqetQJPm0Pwe4Ix8S841lUR5pK3FfVrAxtuUmtE9SBjqEGkucLLZIiN5m5SF7FhyRRClGAY8CbysFF2kDMS4UvXaQ4unoMGOsPRXmNFbpMTD4lqvIfRdB6s/VWrODH/6uRkYgb71SFiRRzifW6H+wCQRvrMlQFnKdpNW3g1bdppRBAPawoPNgkqzkT/NHgp9D4OHG2uZ6gPzFsFfv4I9dsi9jV5zwryZIpyduzwzRkP/s2B01ZQ+2qI/90stRiVvKBNy3YRee2506li5DjouhdoboPZ+wHJoMUqpep5td24/x8A11aB2eyhtbydVRAbVxuxN4NHom3oxWGY+1AH4t42KlaIZnDISFneDjmf7e++N0jyQKu7vWjEwCv0O5z6vOKl5XgIU0FEkQ3eehAUjlbroZdhpF72ebhN7o5hiyo9sn0JtM3z9FFz8nR9wjXQL7+UCVwqc61ivEparnuttWVKjHufhv12yP8hcs2VG70YjCmObBfmxKshbIE+n3nw4N0tlLcyb3dAfTbVBy1YsOo4kNZ7EBrKh1I7aLWDwbX7sDLh6lS2ADXeZCvekgL+9YWJO0PXPKqOfswq8CfTyBEjETg1NWYN6bU7C7Gd/x7xv1a3G1yqQ30GqGizzPpBrLLWnBshakB0s1F0NjZY8xNZ4ZspUtwmcvFYjBafGAiaAYvJ7h0F2dDxVnvbSGV3nwJJtbW8Uc8z5snUBrDaeuk2gz0L/rlCJTewsgQvE3TXH3gJa0Q42ubdLqoNsNLspqHgHZi3z5T/BRdODyXGXvU8ct8dPQR4C2RvkMDhuibvOHb/UcZk7Bp178GA4cay5TXY09BxkGMgrtnUj5DZfDjLathyG21QDfpgJfZebMVKIy4GtkDyfXjp/7PqkETL185Hlvhv6fT9zvWlZDYxFNZAthsv8EiRrWpIA2/NXkM8s1X0nOjwkEqAo3m7Ns3y+a9IQnRboXsq4Zaf/LjprRswx2+Tt3B20xSj4z95+wTVSXKk+hHFNvV1zbLkUVjQXx9xIhE1KsRTYG5hnpszEWO7yMawrgVnTou4eomVmOvCgCG+Zr8HN5Wx0c9jtM6f/6wN7Au2BvsB30Ki+h87tDFwF1HC4JhzezIx+GgdS8kVKURvdxk5h1hsBOgr40LYQhukO2HcOPH8KTPfpKpugIFy3vXS++jK4pV36b2ujwxNS/3Z7x1qMggNq2gQM8aBEA42Q854eCHxlqsw8qQMwPuxKleIU4CzgMBFrbrBlyMutueMCmJGXC7JSNAc+AB4Dbsvexj323Bb3RjHFlC9t54fAwg9JeiN+YYl7OVuxu4DaRQALmOYBzTF0CIQ/D1VzgLtFeN9UublQEumvYaM84xOqA5uCkcrr/Vi9FLgIHQC7CqiHRll7EBZc7Y42WbxIhI6pJSk14Rko7VmofqbHte17AOyxP/yvk4UDfH9gokQoFjAkaoWGoiyYCngPjJGzWT4DOEykZDUFx2a7HdiGLivESOEVy6n7rrRd5jtVqczfbu9Yw0ZwMdpweRNJWfttsBvjaRwZtBXwnRhEr82Fkrr9l9PhhylKjW9Snm6beh+UYk80BsKZIqzyI38w5LkHKxaZXJxrKUrREngbuEWEjFjb9H78bTU0P2Qb3hvFFFPuZPsq0ib7cQnIjJH65GYYvt69nCKrLoVa1t7zK5KLY+5tk4dABgRQ7mSQduGPkz9XVMcd8y/ByJX7+wHSHGQx3DEi7JjAMnIo+P5bOGuCnzjfAuqtDbIU5OAwdcc2g+zkxDdVLrws+y7ZjjvZUpBjzJabGqPY+T2Yu5QCEHHz7MOcYgKT73tqfG2R6Nxt9mI90bndjMWAgxSB3BluG/LXbXMx01IF5GOQ4ebakl/uTO+y/LllpstwxgcwbyVI99z78ZI10KV4W9wbxRxzPmxdAKuNLzfmKWOyc4FTv3wTnN4t8/Oe66HlGNuTCjx/Dly5PEqgDWbaJVdTYJJxj3K/I2RQj0LiE9BB/q2DkatuE7hsba4LJcihIMth+BAnoH+1/jfzAJheh5lUKMnyLlka9uKOTjfzcph6EwUG6QjysZmy7MbpgFQCGQcyMoS6ngT5RzBlZ7xT7XN5x9zXwzSAGVspBFqCTCu/vbkdSkDeATkj3DZ46fYNW0DWu/MNW8zETMtNIOOjaKgxdzi+aLG3Xnv1fasxJteemGOuiGxdANusJ5RBC+Dimenoh24TTY+SpEVV0iZl05tZc+2T68O2eobUrq4gYwModz5Is3Db4gUc0evzHOT9DuTQgPp4D5j/Kxz7Yq56jQZ+WQ7Syo5ehH+Q2F5vAZ22Dwf5p5my7OS+TGnL1WhUwSoh1NUAnaduf9tjmC5XYh07dak7wIwVsKV2eACpaHm7FGtZEzeXXYqzGKoqgawB2T3cNnjp9pkT0ABbLnzmhELfB5DjQX4BaWCmHUHlvMx975SvDLbnlZhjjjJv5zGB4MSBfQ6MFeGF5DduAcuP1E2CvZDyeYNGjv96wXn9AqA2wFO2hQiAEjGBpqkOsC6AcrOQV+xm44OV4gXgRhG+93g4wJhALoWmT4tMGJTrAyJ8qhQXAm8oxfEizA5INg/yijHZu7HpmpJxJi1bQ7VN8NhaKDFdTdSpFfCMmaJ+W20rTkcpWgFXAkeJ8HvQ9YmwVCluhdkPK3XRzzZjINPl0vlpler2Idyye/q31oAzssQENr8HmjaGa0nJEdo4S37eA4GVIiwLSFYP8prjFy+SzBx2ACi1eFEh74NS7AY8DfQRYak/ucvSXnu7z691mirV7hk/epx/TuR8sRy2aWyEmGIqiCqV/5PtgiqTDp+G90Szpcxn0Z1MlEKhD4FTzJZbr4lS7Z5RqtuH+t96TUyWnyPNB5o7bTRJdQn9EDijSCP7JQDwEkh/nx8JfAdMVIrHlMLtIBPIIVApagKX4COhsWik0quB95Vib9OyZafEgp9KpcB+rZTiE6UYrBR7FFqLk1R7PIzrCQ/sA7fuDZ3HW3oXQqfEHABFJ8GJ5xbabqU4Ah5qC1euTn8Pri0NGpREKeoBzwOXirAwyLrSab834eE2WodePV7/GxUd8nqPrKx1WdBBd2wLt5BurL0F2Ploj7KOBiYbli8H8prjs+m22zODfs7lfVCKSmjj71MifFCY7BpYRinugf1bZw7FbGC3luHp8cbS/HTTT9/HFNN2QravIqPAIK+CdEv/zMvloEOFSTAK0gzkZ7Nl2gdvSGnfUpBGBsurAvIHFnIo6X69+DsYOL+sSww6+e0okFUg/wZpmHxm+Ho4e6JpF2SQi0HeKrCMoSBzQHYNtx/d9PPQ/UBORcdirXbc/oaA7Jl8Lp+4ou03z5T5uCA5B2QFSLd017D2z8H30wg4sTU6qfTD4fdjdHXIia1dUugYmwARcfTjBffvTlvq7urX8w+Q90HOAqmelGPoEjhvip31Kv+QkfRnzv8SZn2ay/rkuDZPKtS1GQ3K84gzZ94FQ1pnvvsnbQhLj0F2hbk/5Rv3rfvx6lXQ64sohevEHLNtti5AFBhkLEiX9M/KbnRmCXRaB6dO1WAXHSdFfTIBORfDYBVR2rg4i5wxZEyQHUB+szheRSCjsny/G8jd+jD4xYNBIb+CKJDpIB0NlHUbOjGzcSRE7zqzb7bQyadPBnlc9+WcqdBvZXpfnjcPbj0endi5Nzq29gF0ouWvYfjm7TXOxNQcAFIZ5HaQBXiAMYE0BVkG0iaYtsh5ILNAaoXfj9GOVYIp98Il3/mNczeIbnkRyGPu37Ua46GLrzvr33iYtwou/TUKhsvCxkOqgswGOaWc37Vx3pm9C6irJciLjnFmJMgu6eOaOr92nhyGHjvz9scgt/o7UMtnIG1tDbIOggAAIABJREFUj2PMMUeJrQsQBXY2dqdnfp6YaDpOgl4bK9oigr41GmawPAW9v4rKxgV9q3OBwfL2AFlscbyuBbkjh9/tCZf+ENRh3Dn4zMzF4pybzsjDIP8DqW6rb7PIVw3O/J97X15XAvIR+qbodpCBIJ1BjoATXgnDGGISjt2cTIUfXkDqgbwFMgGkfjm/PR1kYepG1NDY7+NscgMBViq//naRMah59M+rIGf7f96YsWAQyL/dv3t3MAzclL42n1uc7knRyeugGIl+zrMvTkF7V1T1+H4nkGLKGLW9yys7vzzVHY2e+gvIMHIw3nmP89HPGmy3Qt9IjgWp5LOMCSDH2x7DmGOOEscxgZoqA3+U/VCkpFhkci9YtwBGV0+POxjdXINCZFJEYubAUDygUlRRirN1WXvsF6FYEdPgMBbiAdPodygfrEmERbB0UX7B8XnR5cC/RJBCC3LKGACsAZ5VisqFlmmSRNgMW5V7X875SoTjRThPhOtEuF+E10WYCl9cGXScSXrcYZRixgqLF1OKfdHz0kKgowgrs/1ehDeAl4CnnVingkkpqqHjAG8WYZqJMvOn2+fC9RsjHKvUApjh//F8ATw8qTYpwDDJ9fWsj2Hi7VBlMHR8Frp+pP9987h0UJI6OwQ4V4ZN7wA/Af3LfuHExz8KvC7CWP2Z917EfX75+jn48FOgmQh3ibC2fJHcYu6u3wD/3VMpdiqwvQm6HDgK6CVSFr8hZ9qIjqGPKaaYEmT7FGqbtSXsisVwwbdelvZ8LN9RiZkDqQlSClKzgDJ2cKyBCx03jM7QsFlm+4Zsgulvg+wccht74hEr4rO8I0G+sqeLMgTk3tx+G4xbLjrp+woMu8eBVEfnqnrIxA2jWdkKTVgcTFqYKLleZ7a77Bxw4aIcXbI6oV3V+uWpP1XRcZzXGdLHf4C8aUsXnfdspXY5jmRqoZogG0Cq+S+j/XOGbgJvBrnRW/fKiweL5ntUwNi0QKfh2anM5wNBpuJ4XHj31aktQI6FPl+Z6pfMubBxc3Towo8gBxXY3pOcm8nG/suo2wSG/AwXfhel9yzmmG2zdQGsNt51kkwmeU9ObKd55kxy3BT2QOfj6Q/9Z0VhwQE5GuRLn882BbkXHQz+LMiRmf2WOuEfsR/IPSA/g3QIsY2t/bbRo7zjQCbY00e5DOQ//nW3cGODM+7luqT6LLsuOj7wVlt9HGZfFi6Xl/Gp72wccKD0NoTnNpo+B5z5P5j7C2XcNTNl+uQWkCX4jOMF2dN5/tgC9bATyCJCBCwq0x8fwbCl8Gkk3gMX3WkPp74N164rAMxFwbTXYNC69Pfq8o3w+MN5Jne/E53wvC2c93m+62tU3+/CxuzrZ6D/7GQf/udkx3i3b/I3WRPUfwaDF7nPL+ZCO9Dx1CvI0T3V5fkDnAPv0YXp97Y1/jHHbIqtC2C18Z6TZJHouIIuxekTRx+BiaJBYk79Ay5fByM2w7wVIJ+A/BcGzA16Ys2tbTIMjzgKj98rdFLeV7SFWv4OsleedXZ0Nld3g9QIoY31QdaYKatuE+j+EQxbactSqI0IMjo/mc3dIqDjtFbnO+551rErOqZlaNj9G2ZfmpHJa34avMAZp89Broe7O9ne5Dgb9ddxbtbcN16Xb4Lh7QuspxPIYnwmv0aDKy0GOSF8/YreRtQdAK3XZgNgLreCTIH2B6S/Vx1Oh6FbvMpHgwXtB9LNOfiNSdH/L2DIL37W1yi+34WN2fkLynjjbIZ3B6f/zsuI1PUj/X04N6QgR4H8hAaYyTmeD2Rn9E1in8Lq37ZugmOO2SRbF8Bq4z0nyRtSDoNSZuLosBVO2eq9iEVjwgF5GeTcHH5XBeRsZ0M5F30bVaeAendxDpLfgRwccBsVyK8U6IYalQ0aOi3Do2HWWab+y0FeCqGevZ1NQW9bba0IrPWyz0I3vUS7R54Ach9cv872nING7vsKJtxQnveEgbpuhtmT4Ohn87n5BKmEBr24PfyxjMa6UL5cI6VQOUH6Opv3jJtW734Y+KM+5EkpGi32dZBbQLrrw6RcFOV+jKIulfe7MNc9kAZoNO8x5AQ2I1XRYGL/LLBeBf2+92M4iDnm7YHLBaHYtikBcJAaNF4KVHI+Wwjc6PzdB2gMtFY6f/dK5zcJkJh5o4BeTpB0G/1ZIsft1Ztgcx2lun2o65xRlB64bo50sHeLUXD8aTC1qlKTf4IW/XWQfrJupdgBuBgYDBQDtwNvimQC5ORDIqxSiu7A+cCHSnEbcJ/4D+bOQvUaw4A/YMn7Ss393n+/thiVHC/IHNPQaAs5AMMEQQ5gyyCgd9B1ifCTUpwIfKQUa0R4M+g6KyLp9/TdO2H4lfDTPA28kqbj/wP+p9Scg6H28elPhwt8IcJmpW69ElaNh3GVk3PfIGAHYAh6/jQhU6MnoPuV8H67ZD392yhVr0M57/9gYBfghsJlyJeMgaQYprJybaUQOZXiVOAm4BgRVpRfX6L83/8AhgIzRPitTJlnASX6L7f11S6YTnLNTV9jg6sxV13K3ld6fqnXQa9zDRq5zC/GSISlSvFX4N/AFKXoLMLcLI/ciwZyudZvnUrRAHgUdqjvvs+zAmYXU0zRItunUJvsbgkb5livU28CE5/Pciylw51/xdWqlO560moM9CkNx9qWi2tPn2L46lE84v3MyiPNQSaDjNNJZs3FLJm0YkYlXxca6MYYrHaedZ+GjtcLDSgDHdO5AuQYG22uCAzyT5Dh2X/jZfG/YjEFxNLkL2s29/rE/GniJjD/2yCQwxxda2ZnHKN5g2XyJhDt9rcCpLXhsXuHlNx4UXLttOFFkk8fJvuq3/cwaEEU3GDRYQ/LQE70+P5SdIqiegXU0QVkKcgoOHDfKHj6xBxzFNm6ALZZT5KtxkC39Un3pXUCQ53/F6cc/I4TGOf8fUNOi1iYi3/uC3q/mQQY95Uuk1SBz+6Cob+bnIRN9msUNmhaD3t8Clcss7GxQSN39gqzTqfejujAfyu52qLOjkvUSdl/47YRPW8u/O9akPnoXIcnBH3AL9+9vkOJCb3O12gDUgfke3Jwjw+ub+o2gb7Lo7YR1XJd8FOhMYEgzdAIjp3z19Xy0D2jm9/Nxtqh+/C8eXn24e7o0AnfaOFm2yDHOPpyVTowUddxMG95rsaaTFCjkw4CeRRkXqoBLEqGg5hjjhJv5+6g4Lg+nKFdOn4ZBTMbwZoD4Ynd9S/+DVyETlN1NPBPtMfcHKeE8txRwnQDytW1Z/kyEX42X38mifC7UlfsnnQRS8hQqLulyX6dUQTXdoY76thwMUrma/rTbadnju5thurnYOBAtJKHSiKMU4rLgHeUuukceL9veG5V0SYn79fhwNfZfuft1vVUsVLcCZwD3A+sVopRwLsiheeAzKTy3OtrTTcznl71lP7m8cB9wGciPFd43f5Ij9EPS6DPdPhDBel6l79c30yAIS1h1UpHrtEwr3+uLoJKsQvwLnCrCK+XX1/eLoi1SMkTGC3yWodaHK4UBwA/SEoohAnXUWfMJsOdzeDnGTBrWnnliLBMqdkz4eb3ldr8u+35VYRPlaI1/PAOnD8C7qibXHsHL4aXt/7pAexBLusmUHQ2THsVDm0pKTkOnXaGGdoRU0wVg2yfQqPISeveSMcyWtYVtMNW2GdCLlalaN4Ehg1SY97d0rtf2z+Xf1nSHuYuhmOet2EptH0TCfJfkBFh6kSmDB8OhyGeqIHbI6PdqX82VFZlkLPQgE1TQc4gD6S+3Oooz73ejD6719NvJcxbCdK9TLvPRoOUlAtGEfBYHoxOoVPZtl6VkaseyBqQPXw+XxMN+PH3AGWcCdLCdl+5y9bxNQ8E32I0wM0akPdBbobXLoDe8w0gr3ZHg7gtAjkkt2eiehN9zPP+3Y/te/DEHHNFZ+sCRJGTm4xE7F/iILjO2dAUCXT7XbuRlucm47ZhGbIJnn7adF6voOC+C5fL/GTt3q+D1sHsyeSBFopGDPwcC66QSRnsxSTipNkA2c1W+4PSkYrOzmZvrOEyK4F0BvkKZDpID5MHE2/3erPzjpt7FzombS7IaOdw0gTtanxEBMbybpBRtuVwkesykJd9PlsZjQT9vGmDQpl6FmAplrMcufaGHxdqA4QXWrjsDnI6yK1wxRL3Oe64nBGZ0W63y0FagWwAqZXbc9GcXwtZ+6ISyx9zzBWZt3t3UDdKuqy0+BD+2lR7yd2ERgT90z20MhzQBeqdoFS9k0VKJmYvK9X9RZ4DeQ3GVc8T3S5HudNcbfJy7QmGzCO6ube1+Ab41wA0+tipIvyQQ1E90P5q1lzFvN3bgkMvS7olHdYWKq2GJ2uV534TLHm5VR11nFL0BaYB00Wi6hYWCB1BOa6g+ZJo17TXleIN4ERgBHCTg+L7nAhbCnFZc3evNz/veLh3FSvF4cBo4BugATBKhKmpPwobzVEpqjmytguqDj/kuBtf6rAfuhOoD5wogaA//0mRcwdVir2Bj2Cfe+G5MfCdq3urCMuAN4A3lCpuC7UbpJdUG2jfVSnmAVNT+GsRVpepsxrwAnw6GkZdB0cq+OhhpXLRX8/wiZOVaveM1zsQ/LtSyNoX/roZU0zbHNk+hUaZtXW5Q4m+ERSXW0Fx/u2RF+CBt1Wu1RjbbQ62L095C65dF7S7JTrf3jLKARNwbgsWYhmdEqbcC5dvDOvGNip5EdNl8nonzv8S5HGQr0HWg8x2bh6uATmJcpKGZwIHVBz3UpAPSEFFDKgOBXI8yIf6xuXD6/MFnYgaO21a5OhRP1IAcfzqfiF6hHa9/dh2v2S25fyv4Zo1/hCVZQjaTXPHEMZzHZbdecvI0xgNuDQ0v+e85rijnwX5P5BeIPeAfAKy1rkBfQXkOpBOeh6cMc6f/nrVPdKzjDDWiULqgAdOMQ04F3PM2xtbFyDqDHXbQwfHpfIGMZNM18uNodv6bXkCA9kHZF5IdR3vHAQvzvKb60BetdwnA0F+hH5HhoVeFkXXoFw2A+iE5IeA9Aa5C42cuQoNBf4eyB0g5zgbqspRPOzmoRfKaVvDEOs8GoYujppu+GjHcWjkweNApoG8CLKD/s5L9y+YinbbOwCkWr666a3TbZ+BYSuh5+Qo6J2JdwLkTOeQvXcIY6lAtoJUsd13jjyJA+CQIPse7bZ9ADpt0N1JXR2x2c/7mT1eN/H3NWscI9tckIUwfH0Yc4Ef5E50GEMxvHVpjPoZc8z+2boAFYH1QbBHiY5xGV5mUkxw7n7o2fNpVZzNVv79KA1BloZY334gP4DcSZm4J3SsxkqQfSz2Rw9nM9U03Hrzj6UI40bN52ZAgeyFznNY5FjO54KUwlUrKuqBxtls/hJ+vRU7zgZkFzQAy0nO3zVB7tcb90e6wHFLk8a84pT2DfoJ5G1tkJGNjg69A3Iv9P4iXz2KqgGiUAMQSHt0TFrLkMazBsgm23rlyNIEfTt3uf8yfM1xe6INXX+Bc6f4fT9T6l6dqf8i0OtzkANB9tVt7TEpSnOBlr/lGP0On7MJzvvB9vsUc8wVneOYwBxIpGSiUvUOgeb3QP1TobRKYX7oM4qgX1d4qGYyRu5GYBA6hmabpbIO/IGSCD8oRRvgFeA1pTpeB6XX6/iGBnvCBa+JHDk3LHlSSSk6oaHrO4iwINza84ulcIfiNp/Cwg+MtwgC/Ozwm0mZqQfLPoLa9dOfCCo9i3E6AtJj2cKhSlJR42ycGLdHgZdEeA9AhA3AQKXe7AczX4G3KmfOufWBrz4R0brnxF41AfbTvFP3/NPRtBiVfF8Svy80LY4J8p9aRyn2R8+lvUT4NgjpXCgxWKFTejzcut/ggSOg+Z0i/MtvmfnOcUpRBXgW+LcInyi1YC6Utvbzfibq1jGAT/fMLGPejyLMSta9cAGUtovCXKDH4oQJ0LQx3ILGZ3hkX+g0W6nW78HsobbTrcQUU4Uk26fQisbJW8FCYZ5bjtE3f6lWaR0fYLuNwfWdVAb5g4CTVrvUWw2+eQEu35Q+br3n27AkopHdloO0tzMO+d1SRNF9NLd2VlS56zaBS6bDwAVhujiBHKDTLFy4KGo3WDnKPwAdO1o9d10oKrd9fvQoqjeqWdryhttNf/L26OxP4bq1MO7KkMd0L5BF4feTaxqSFeEja8tNIOMTnixm3HlzKyNKt9laB4skidBeFpehYsxRMcccNbYuQEXk5MJ44Xc6hsZPYL3bBDt4PUx/y20Ts60wGta6Zvj1RuNAgI5XWwpymt1xSOhwtwk69uMBTwCSqG5oc2vjpb/a3Czk60Zra+MFsjPadfoiPy5rthmdh28FyH7u33vp8KlLgxgTk3lMzetj2bb0XwcXueXobG/zEKBlPel1uG799pa71dHpv6JjWxukf174+5lrGSnz10cwvBTuO8mO3nb9UBvMRaKS/zjmmLcFjt1BfVDSrYLdge/h7p/8lJGZ4mDzzXDf7cBbStFVhLWmZY8AlQJ1gA3hVuvfDaoQSncpWvsrPNgKml8jknRdtEGpbklKMRjoB7zt/uvfN1VEF0H9jv2wEHotBVU17BQp5bnRKkVlYCdgV7RPYn3ocg08GKoboVJURefBeUuER51UIRZdFvMjpagJPA9cJZ5pYbxcoFeNL08f0ufq47rCt+Nh4uDsz7mlxbmuFB5qoBS1xFKqE/d1Z0NtmNglU+dKP4bRlWy4tLq8Oz2DcEH3JjvrRYKUYjfgaeB8EZamfufHbb4s5VpG+jrx+b3w5H1KdVscRmqVdFryCxyIfo+2osdiIfCE83cloE7TcGSJKaZtiGyfQis6o4EEDjZYXmWQ/4J8AVLfdvsC6K+FIE3Crzd8y66HS9HKqN2soMEXFoEc6fLdnjB3KVy8pKK534DUASkFqWGnfi+du/Y3NCjR72gE0O9BJoKMhSG/hH3rCvJvkHeJCAKjD/kfQKcN8XQzN3XDCjIGpHtuvy1727LvPiDPgHwMp7aISuoS71vSrmtseQDYvomzWT8aGfQ9kNts6USmTHWbwPkL7N4KdymGoaLdQhOpumY5N4PDRaO417USYhFzzBWVrQtQ0Rmdw6y/4TIVyK0gcwgBhjvk/poFclD49YbvZmd7I5PnuAwEebvMZ7XRMVZXJze0534GRRvhpNDH0Eeb/goy2V79Z37svok+dwrIrm6HrrB1BqQ/GhZ+B9vj5VP+M9CQ/eXKb8aNTm4FubEAeSvB10+FmRe0fJk8dW6+vYPQmRNsHUCTumLHFVbPtzIpSkaZKKxlSXTQNsuh49bMnM2znINg58m2DSsxx1xROHYHLZwmAccBo00VKIIAw5ViBTBRqbsuhFf7aBeVsN0wjFOoCKEJcneDCrof7boU5UmPANcqRWsRPleKSsBTwHTgnyIlQtJ99FngNGCmNWlzo6PR72fopBSnwX5HuLsgLpgrwgr3J93cCPvP058bl/E44CagvQi/mS4/aFKKvdDzbudc5DfhRofW+S5+HxZhq1IDK8G46qbcLNNdzv2sD5461wf6PxGGLibIQSDtCwe0semCnlwvar4JVWvBN5+Fse4qRVtgGHCUCL8HWVd+ZH8tc/r+DAClukyGl9rq6SvhGvooMLYq1G4LpW3DdR+OKaaKSfEhsHCaCAwPomAR7lXqAwWL34Nxld3iioKoN2CycggEY5vAPCi/VAw2SYRNSn00Gt56Tani72GXXWHYRti/vWOUSKVbgY+U4j8irLMhbzZKboqP/hv8NF2pd5uEFwfInujUHwfDwX2h/835bKLDMlYoRTPgBeBcEX40WXZ6Pf4PKNmedeIpnwHuE2FKUPK70Czg+sKK8NpQH3+mUuwDLEKnPFlU5v9LRNiS+pSJ9C3ZdC4kXayG3tz3Aw4CHocqnaD/Y2EeQMuSE7f7DLCLCFcHXZ9S7ISObe0nQt44A8FS1Nay5fNhS9ukPE+QPBBCdFKyxBRTxMn2VWRF5aRrUefJ0OV3OPnLIFwQouCGYbY98jbIqbblCE9HBqyOittX+bKeV8b9yTuFBsiLIFfZltu9HVbQNSuDDHZi/W7CiUOMItImSD2QmSCXRnUsynsWZATIhzjQ+SH2XQ00wnFV/2V4zekdXwNpC3IWyBUgd4O8DPIZyM8gm9FokZ+DvApyH1wwNerrgxdCLkhzkL+DLHPG8myQapnP2Xt3QC4FeTCEehTIayD32R4vd/le7g1D3BBkQx+TpG50SEnVdUOZdyDB0Uawjjlm2xzfBPogd+vrjUfCRUfCbYZv6ey7YZgi3W8XHATr71BqZo8K7taaA5X8BvOBrmOh9g5ho1PmRy1GZaJSPtAUfvSypI4CxinF/WIJ6dCdwk/SrRRHAA8B69CulXMS34V/+5ydnBu054CPRXgg2Nq8xqL6GKV4A6gGVHe4zP8vbgW3NHIbR6V4EBgIHCHCH8G2IZ1E2KgUPwP7QjKxdn7k5X455QoRioHP3J5yEoc3APZ0eC+oc0aU14fkWnl9cw1A+39Ava5KvTMDTm4KPAkcIy6orhF5d9ai0ayDpkuBxsA5IdSVFylFHTjzJpALoeOJ4YVTeJNzS30yXPwOPFJXo4NG6aYyppgqBsWHQF/U/B5o0hz+gZ58+qBdEe7E/IYzam4Y/ii5GbitsbPxOchxW+oDLfpvI/GOZWkINBsj8v5FtgUpn/IzNogwXSkmoV247glaulxIu1O1bB3Wplgp6gG3AGcD1wBPiWS4zkaNbgdqAZcHX5WXTtXcCRD0BnslsAnY7Pzr/P/XZlC7Ueaze+4FPAv0FWFxoOJ70yw0Xr2vQ6BfN0vRMWIJF1EAlPrqCJ0+IarrQ4tR+gD4KEl3vdKa0P9guOFQka88UnpEhtYBdYOsQClaAiOBdiJsCrKuXCndFXu3BjBgqkj3p6H707ZlS5BIyUSl6h0CHUfBjvvBZUfCf5Qt9+GYYqqIFB8C8yQ9OZ5+IlxLyi0gMIhk/hqTG84ZRTCgTfKWpqJObm63Atc3h9/fgRvqJq3EtU9Xqt7JIiUT7claODnxHQOBVrZlyY18GRtuAd5RitEiYed9TJJSHAgMBs6GKmuCNpoohULHMN0HfAAcJMIqU+UHRUpxPtAVaC1lYsuCIS+dmjpRhJHZnlRqTlcoPSTz2YaN0fkM3zAubu40Ex279orfAszdcs0ogqtOhn/uFM31oWEjPbdnxGvVgI43YP+mrzxaS4CHQKWoi+6gyyXA2Nx8yN3T6dIaSo1pEjUDbUrO5tvh69nQsXIUbipjiqnCkG1/1IrG3vEcRaLz1ZiPx9D++FevjFJcUf5tcMtFNVIyYZ7XCfQoqYhtTG+vjAR53LYcucvrL34L5HWQQRb6tzLIaSDjQJaA3AjSIOiYQJDGIG+g0yr8xfa45SF3O5DlIP8XdZ3yfrbvMvhhNkhNy315LshLtsfUkWVnmLcaOo2J4vqg5RleYeO1QFqDfGG2zNQYyUHz4ZsXbLczc8yiHWdaZox2ROdbbWJblphjrmgc3wTmTV4uTvOBIoKxwp7ZCc68SYR/my03THK7FdiCu5X4kbraxSPyVmJXUoodgcuANrZlyZUKQAK8BRirFP8VYaNJmdzQIaHkV+ACdP+uQt/GvSzCZv1UCaYQDdPrX7YE7lgA7fsD9wLdJSKuW+WRUuyNvrU6X4TZYdWb1Knl98CRJ8FHr+Y6Fun6eMI5MO19uLc1NOsmFm+dHTKAEGqMhkKzV0Te72tbEHeaUQS1T4fSutF1Wc1K6zAYE+h+yzZAlBrbJDq3VhUOh+BS4G3R8bQxxRRTPmT7FFrR2NtKdszyYNBBpQ7IryC72m57Ye1ws+x3KKnIVuIsY3YDyBO25QixvW+DDAheXy79Feb/CvIsSOtg2+RW/6D1cPOxtvs7z7GpA/ItyBXB9FEm6qOLDHuBLCqgDfNAfgfpZ7s/HXkKRgg1JMfOaDRa136PCkPd9tq7I/VdGroFbj3etmw59PHeID+bKy/6t2wVQcaU8akFshTkQNuyxBxzReT4JjBvckN2GzAfvj3BpCUveQvR4nCosw4eqQ0lKzK/rxiAKh43TaOBd9ytxKuWWxK1IFKKHdDxaW1tyxIi3Qy8rBSPyp83coWSWwzpP3aALq+JjOtppo5867+9JnS8BEZ8HHz9/illbtgD9moGF0yBQ42B9+jym9+jY6MfqplDfro/gMoFVNkMDRzzcAFlGCMxghBqhIYCr0nEb0DSATwSc/8t38EJzyhFJxFm2pYxCxmOCawIt2y3TIeiLTCqajTjTNPoQuAzEavvYUwxVViKD4F5UuZhpvE+0P9VkaeKTdXh7jKyYnxig2UiQbANcgNDSId5TrTlmhJ45DCl2FciEiyfBw0G3qmAcvsmET5XilnA+cB/zZTqtVmqu5OZ8v3WH6XNWiZ5uJv9DmMbQ+FzQ7L8Js2T4FhQTioO34dApTjF+e9tItFAXtV9cFFNWPuiUrOm2TDAKcXOwADgyDDr9Uvucz+LgfFKcZII06wIVj6tA+oohTKjf9FG+1aKv8EJQ2BKJ+h4cZRBVpSiKsy7Fq6YrlSVDyuCMTymmCJHtq8iKzqjE96uBGlkrkwvd4yBP4I8AP1nVxR3jdzam5kUGGSABrJ4pU8uLmdRYHQS7hUg+9mWxULb24EsMOUiZ9slybv+Dq/a7mub/ZYs3ys58zmTXXSjPsgqHzrVEOYthyE/w6CfovD+Bw08lEff3ALysG19M9CO7uhk8UfaliWLjBtNgRFp/blsrW398WjnEQ54VBvbsuQm7wfDYPD6KPZlzDFXFI5vAgskEeYpxaPAbeiEgQbI6xZiy+9oePKOFfGWwos84NIfVOqpFfDt8zCuSgW58RwEvCcuiY+3dRJhslLMQ4/j44WX6JVQOyyXJLf6r1wFDx6iFLuJEFF35aBvMBPleyVnbn64UrwG3A1MgnqN4Yh/QPt6Sv3vmVwt9UpRCWa/BP+qDHfu6YxBT9PYmS8LAAAgAElEQVTvfz5u9RrO/y//yXQTNp0btjyZK9YtYDYS4WWl2IRONdNFhMm2ZXKhhEuoAUCikjowfwOc/BbssntUbtmUoinwBtBPhCk2ZcmF9Pzw4Qi4rabNdzGmmCo6xYdAM3QrzP9RqSHvQNUahbsleLmMTJ8qwv1KTWsLpftE1aXEHI3ukjwAQpQneSdx+BCgvW1ZLNLNwGNK8bToxNa+Kd3t+sBDYcf68Hpoh38vtFR48AK0C9vxEsncgEG7myXK74POj/pnAnD0IX3RacDxwOPwQyn0aAD37K5/c20+h7gr4bH94c6dg3r/3V1nB7ZX6vnr4Jxa6FjEZkBT59/acLDYMsAlD6yHHw2sgaeAkqCrDZxEeEMpegOvK/XsZXD/aRGLdU8cAk0Yfm6EZv8Q+fhOA2XlTNmMHY5R4V3gDhHGhClXvpRsx4GHwoZa25IxPKaYrJDtq8htgbWLR99lptwSynM5iopLUvB9etxS7XY2UqA40sihINeDPGtbDtsMMgGkt+Eya0QFBRFEgdwB8jXIjrblyZQv6DyJqeUXi86P2m09tBqTWgdIZThrgh/XVJBW2i2tx6QgkYO9XWevXAbyOMgIkJ6Oq3MDPfZ23JS3jzn/+XNg6O9RayPIdyCHGijnEHRO09rhyu+mO12K9Tt75gSt718+ZHv8829Hkbi/i+2fsy1rzDFXFLYuwLbA6RuDYufQMlyg7fzCDoLpcXLu31+3AU5+0/ZCabY/3RatYU7fRi/2EaQuISfijirrjdx1v0HXj0zGcIH8B2Sk7fY5siiQe2HON3DsC1GLV03ODVcsg/O/MJ+2JlH+BdPgiiXeqSG6fpjvIc6Jq50Lcmbw8Y1+5LNzGAuiL3JN8RGe3ppfR83IJZNA2hso51UCSNWSv+4UCwyVqB22zbTjsnUwczxIddvyxhxzRWDrAmwLnNxMFDuHlfAmV5DRIENt94HZNnlteIoitVglN1GXzoXBC6Iil93+CGaDDHI4SDFIJdvtTLb10t+ivJECOQ5kFogKqPydQdbiAQbk5+AC8jQO4Im7Pg1YY86w0GqMu3ytxpQ/9t4GumD6Ov8Da7qs6Qe9KN4sBrWOFnrYBXkP5G+FtU1agvwCUivcPpUmMHhRus6MlCCNK8HrRyoXi/YYSryL++4D8hrI6yDVbMscc8xRZ+sCbAuc3OyEP7mCdAV513YfmG2T14bn1KVR2WRHcRNlm3Pd9PvZlDm3b9NA/mq7nfm01a6MokBmgASWlNsp3xXZMd93BOQ8kNmkuMulH7iOfxnmLQP5ixnZW47JvEkYKtAy6yGwouibe//3ng//7QznfBo1/Q1iHTUxT4O8AnKWvzYl9HfYCujzVVjrA8iBIE+BrIK+M9L70wvZN3phFu76kV0vQKqBjIEZ70P756Jy0x1zzFFk6wJsC5xcaIaHPrmC7AhSAlLDdj+Ya5PXZH/S67ZlK1/G6BwCwu8Tr8P7tetAbgNpCw2b+d2UgQwBedp2O7O3NVobKZBLQV4JsPwHQYZ4f5/brRnIPuj0Klljr0BORaciqWdmDBNuh6mxx9Eaw2Q/ln1vLlqpD7Lum1w49kX3OerqVXDF8qjpbxDrqIl5Gh0feqGZMQvcM6iVPgDJMnSc+o65x9Ll0yf5GfJMuB7n059w4L4waF1spI055uxsXYBthZ1Jbr4d0ACZDHKC7T4w25dlJ/u+y2DuUpCDbcunZfQ6BAxbCXIryNkgB4BUti1reH3iteHq/B7I7SDToWiD33cEZFeQX0F2iG5bo2UEQMerrgbZM6DyexZ6yHQs91+CDMrx9w+BPLG9jGFS3tQDdYfxcLELiMrdnUCuBpkARb97Haai2nbT62gWw1Qp+obvJnSuwgNxcWvW8gyYA/1/yPfwElYfo2/8TwAZD/ITyCDKuJ2m607LMXBusd8DUv43/OYOw7kblaKp3zHHHDW2LsC2xPZAA2QkyN9tt998X2YkkD8bZCnIUfbl81pkzv7YGY8xIPNBSkG+APkvyGUgx0ThEBPcmGXXfzhnciFWfnS8R99otnXoFhjcyrZsLn12P8jNAZXd2Hknfccdgvwd5M1cywCpgwaP6Vb4GPZbURFvC7znn+vXOuN9Cvzlea+NsLf+vtjLfttMHhq8+unkN0F6gIxy5uofQTZoQ5U8DzIcXu8LfRb6PyyZ9RbIvE3bpSlIF5DPQeaA9CHHOLhC4lq9+/SKxc78/BzIYyAPgNyd6Y6a1MPgdKhieGrEHLNtjvMEGqRkbrF1D8F+reHTt0LKc/QBcD9wjYnC8kmgHBR5JJAvVooNwNtK0VWEiWHKlE5eyczfOV+E4sSvnPyBhwCHOnwecJBSrACmleEFImwNuSHGyCu3XrruFM+H0rYF5LF7HLgeeNiU3H7Iva13L4c2/1CKDlJgnkTD9AA6t+EoETYbLvsnYAuwD/Bjvg8rRUegJ3CYCJLLMyKsU4rzgLFKMVmEJfnWq8spKVbqu09gwB6wbn1UEnfnRg0buedIm/2lCAMBlPpmJvQ/KnOO0m3M1N+Bb8L/s3feYVIUWxv/FUElLYqKICrZiCIqCIgKAgYuKAIqgkoQJEgUFUVAFAzXnLPXhFwVFTF9RkQEzChB8sKiZBBkZRFQON8f1XtnZqd7d2Y67lLv85xnw0xXna6qrq5Tdc57Ln1YKWaJsDLoO8pHTLeDZ8D2bbBwbub9smA0XNsCHq+Z2AZfDY6fpwGUojxwLHAC0ACmD4DHamSep9K7nJ32OS1HXwJLl8LR44B3RNiTankO79cU4TT2tm4CJgIHxEk5KFMu+Hx+fudLNTAoIQjbCi2JAv9ubdHkF5HewZuAZZAyIFtBDnOve/QJT0DaoFMytA1Xj8x2U0FKgxwDcqm1E/2e5caTi6YjfwKkH0hTAs4pFUybxY+vhQJt/4SLZqcWWyJlIHsjXPBu1AL+rX793K9TN5e6fQFymU9l/xekVwbXVQVZQ4au7CDj4ZdpLpkfF+FBDrjg+zNdEqbU5iiQoSA/ETCLpYMu80BOcV/O1/fDgCXpz9PuTpOCOdEM3r0xXV3C0L04rGOMGImChK5ASRM9+Vy1wmny8WtystwwurvXPzovmyLut4VlCF4Yti4e3lMVNK3/UMud5keQHSBLQSaDjAbpAHIUPtH+B3Of+QvTtrPgyt3pPAtWjM7WqL7c0UnF14C0CVuXAnp1AZnhU9nXgjyf5jWlQD4EuSvzeuvXg6E7M3fXkyyQ7SBlwu6f9O/dt/eIApkIc6eEmUPQ0iMPl67zVjnZZBBC4A2pTP5cN3QNXP1T5mkuouPeWNQax+33vdWz2US4cZuOS4/GO8KIkShJ6AqUNHF+cdy6F+Qf/dN7IwukP8hL7vWPzssmhXs+DR2P1DVsXXy8x7IgJ4B0Q8dOfQSyDk32MR3kYZDeIKeSAkNslBJEZ0Z7H/1NCpBz0DnBqoetS4FxtBofiJXgkQsK83xw0GcYOpbJNsegX+OngA6tQGaF3TeZ378/+QqhxbFujGtvdJDqIBs9KOdMkF8y2TTz9iRPTkPHiGeU5zRq8x7ceqaOP031hPnxdjBya5C5NePafhLIlWG0kxEjURcTE+g5nPzl538JtIUFn0KFlsmfu/aP/wS4VSmUSGqxNfYoPr70IvxgxRR9rBTlRfhP2Dp5DRH+Bn6xZFL+/5WiKrE4w1bAMKC+UqwA5pEYa7hOBLGPK+nfVKmsNuHEQTk9K4U9C07XHF7DW90yhwjTlOIZ4FWlaCtpxOr4qNPflk7XAv29KtcaU4/CU1lQoVUqY0opGgG3AKdb4ztDZDJ+EtAE+D7z+sOFu7iuwrBnNNyxf+axcJ6gHpDtQTk9gBczeSemFuOcMn4E/gDaoN/VacIuBn3ACv3/MDBuN7BIhHNS+/7A/YCZInTwUysHLEePJwMDgwIwRqDncDKi1q0R4R+l1q7xx8jK2guDKsBv3yiVvSzzl1Xlu2BMVxhfOi4A/W9o/7w7/fyBCPOVoiWa+KK8CI+FrVMQEGEj8KklACjF/sBxxIzD662fohRzofvhcF/dkBd3cchkw8HpmmObKMUtwNMibPZB2XQxHt03Y4Bx4aryPzwLLFSKkSJs86bIBhNiC1OIG1PTlOqcU5BYSikqAP8Fhoqwwl3drjesGgNT3OlQcmCRWF0GZ3YInsgjCXXRi/eMYY21zsDxmZbhlaGtN+G+eAumPqvUb9npEq4lG6RH1IZBH4q8nNL1PuAQSGuePQpY5ZMuRWE5cG5IdRsYRBthH0WWNCnKhcSPWA6P3VZGw7x3Et2MPhtpuV22CLt9C9G7Fpo2fmTYukRJrJiYGiDtYGB2lFx9Mxm3ztc8fD7I82iCpOf8cHvMoO2rWW6hkcnhCfIayBDvynPMl+kw/8lzXrit67KOrw/DbXLlpRwTuAqkfth9EvJ4KGW5L7+CzsH5FlzyRdiuh2jCrHEuy7gC5MOw21jr4m1cnDWnbwapF9K46ZnOcwxyP8gNIel6Bsg3YY8BI0aiKKErUBKlqFiN2OfD10P32e6D+b2JFwA5yHqxJC2MQM4D2QQfDopKTJmNjoeDLAQZn0kMSEkX53Fy/tTwdKpUC7rOgOs2ph5P5vx8oRPKj7aMr8/RRDoZxeF4c3/S2tKlWtj9r/V5+RK4Ka34vczGVAeBnIS5CM2GuwykkkdtezEs+jrduDg9fs6ZrD0cojWH+dPnyXHAILXR+UxXgvyMJqM6NPb9cJkV0YyzrnIWopOnXxp2+2tdvI/pAxkJ8l449yPXg9yf+vgbugr6LLDGX4sg1xAgh4FsCnsMGDESRQldgX1ZQEaB3OOyjBrQf6kXJzwgd4I85/z5IxfohMKFnXKGayBaRsBPIA9GQZ8oif3irv9myN4C8gDIQeHoJf8C+cDjMvcD6Q7yvWV4DPHK+MhAl9ssg7R09PrfCy+ErrmJZY4QnfpjXNxc1HUWms33VA/bdSpIz7DbIMpif79DdkD27yCPgDRyvs570pk0+vZ7kKYurj8K5HdSIMsK5n68J1wD2R9kCci/gr8fuRvkpqK/Z/u87dbzgwTy/GkdxuyGS2aYdYARI4kSugL7osResL3nwfDVGeS2qmHt3M4E2QKDst1TWcth1kvzKOfvOO1mnvFqlBZX+kRz8Ry4dlsU9ImS2C3urL5/BmQDyAACpsy3Tss+96lsBdIc5A1rfD8AUifg+ysN8gV8/WC4tPv+MAzCubO0wTfWMvzyTwDHxtVxw0aQ6z1s08PQ7osVo9AGzvWFuxHlfL8tJgWpRwb9uzX/ZDLD628BeSLs+yi6H1yzgp8Py1ZCi0lejrGixi3a9b5P5vc9LsDn74rlsU2pWwTa5EKlyIa2GDESpISuwL4giRNqkynQMSdd4yTZ8JMXrROU/bwwwEAeAnmk8O847WaO2aMp4qNEYX32a1HSpzgIyMnotBPzsfLcBbGIRcdszA7g/o5Cp9nYBDIF5GxtJAZxj4Mau4lf80YHf9K/FL7Q2y4wYAss/BIP3XJBhoO8GJU2sK8r/I2x4pTyJ65vq4BsI0OXfmvjZynI6WHfS+FjYfAOqO5qQ0qXO3i7/xwD3XLg5CmxOXLBJyAdMx9/YwMZj1rXhaK9E+Lvp2vuvr4hbMSIiDEC/W9g2wl1uMR2y/P/l2ycFGb42deTmfsOyJFW+YXGLRW2qwzdv43SYiPMxU/Yu//udBcFcjFItk5n0nOV34tYdI7DOQHeYwV0Xs1FsPQXuGaD//cYfp4v/04j7FxCewkMEmi5FrI3FjW3ZNCHc0FaRaUNwq4ryjpk0LdNQH7MfCxe9BHclBe1uTfxHX3Gq7BwJsi/o9a/zmWOjvu9xx5oPb3ozetUTwIv8ckI7DQtthnlXRsZMVJSJHQFSrqkNgnK/4yTdAw/d3pVqqVPJTush3Z50HVJ0RO688521BYb0PHjMPSJwu6/N/ch+0OvOd4QDhXpWnQ8yMIQ7rEUdPk8iHEShRMZP8ems0voqJ0gF3jcbyeD5JDByaJug6vXBPF8Ovf5jX9Y8/pokMusTZDK/vT3yVPgilATv2fQv91A3sjsfovP3AtyMDqBfFfvx9jw9WjyltYgVbwpM/70Lt8ozIjNuUBM4NVrYdkKkPdA6nq5iQrNJ2oXULv7ie5puBEjQYnJE+g7nBIa7437Ow/IqqQUM9E5jd4F7gI+FWG31xrpBM8dpsMzNWO5AMccDa2nK5XV0il3UWHJc5XKGg1DW8HDh8clIs8OI5mtUpwC958KQ9cGr49T3rTf7ga6OuucVUtfW/3wdHNI+QERdim17Q/7sduyk1J8AqyIk5XAChG2xn87xQT1O4EDfLwdW4iwV6m9KpicaK5z2rlG4vN75AmwqwH8tQEaTFAqy+V4+3MlXN88+f62rBDh/1yqXhA9gZdEEibRlKDb4If3YVhT+P13lwnAi4BTny/7DvgKncC6C1AfqKcUO9A5zZYDy+J/F+GPdGpOfO42A3cDi/6C3z6GRcPDnFtSQIY5AtPLWRk2RPhdKS5G57hdLMLP6ZfiNMY2rkDn5rsIaKgUW4GfCshqESS+NOs9VAtGA2XRj1pNq8xScd+sYP1deJ5ZhzXDU5DdP34NAc+tA4bBiu91UfceVMj7IiUoxSHwbHW4cQ/klQ5z7jUwiCzCtkJLslg7Wiv0TlT87nhB14oRAj9P9uPEz16vwtw93LiRfP8U9JkXFqOc1kGOAVkH0ikMhjvnXdTRe9B5yT4EuRedZ6kxSIWo7mAXllIC5HyQgSD3gbyNppnPRRM6/AgyGeTfcOW3hZ206Xtv8xbcsitaxBlenwTa9fGwXfDTayD7B3vPQeUqHboTGh7tre6yH5pltK6LMn4GaR6ldka7YVcHOROkF5qp+Q2QOSB/olP3fIPO53crmvm2idMpT9Q8M9Lsn5dAeqd/ndPce4tn49yn+70UnarjED/GGDoXZH2rnrtA/g+d93czOo3Gvfr09Z7WyWXlM/3ahbDkezNdOMu7tmjzljfeJ9IC5FeQe6Da2cnu6tEbB0aMhCGhK1BSxX5yzp9QB+6EIbvghq1wvUDvdUHGjxXu7nHxlkz1QKdm8H1xVUj9R1mGVq/wdLh0uv1L7IxXQeqBXIRODfKqtRjdAaP+jOKCLV1jwVrIHmItTi8DuRmGrrEfa/2Xwn8v9zKBchD36L6u+E2J80+wDOjZINWDu2c/YwObTYQrvtMLxFczdnNzrkM6gnzp4vqqaFbRQBhwY23SYw4M3A5Np6Y711vP1WFoAqWe6ETqr1mbLbnosIFvrTnlNpAr4Kof7J+76LvAgcwCOTv968JlonQ3PgblQP+NcMo76Y+PzDY7rU2Hdmgm1TfhZof3UNNfk8nsRlhG4XaBZiu8aw+ntUn79anlAJVS+r0j64lLnRF2yhMjRqIqoStQUsX5hdTuT3i7F/9j9fSW2cudbqMlFkSduh76Plq/qZMv63QRwbe3VEXnTBoeXp9LX8jeAL1+S8NwKgPdvo7qgs3ty9N5rA1YAtdvjILxG7vHvr/AkJxgjVApBTIWZDVIk2Dq9C8+EaQcyAKrzMHe99GITdB9dqZ9BHI5yNQgx1dM/8F5Xs/1loF4KDoNylUgt4P8F27cbP9sdZ8F0sy6JiP2Tf/bStaD1Misje02XnM8H+fejIcmU6DLDv3ezTeohsf9Hh0mWa3vmRuhmyTqO0KgrYcngYWtTYqKP5SqIB+DfAVyRNh9bMRIcZDQFSipkspCKyyXHT2hdyuwszdcoK8kuqwWrUcUXBlBKqPdpm4Pp69FoUkeskHqpWs4FWfXLTfjIwpkKQX68Sh0rsTAF8foE65NID38r8u/8QbyhDZCpD3ITL/HUAb6PQ8yKNi+LSwswO/8aPFtNnArzHsHfWq4BZ2G4Qf0qeIEkB7o08bDwjIQQSqB7CDDdCIF5t4VMQIS8b3N3fVN/MnauFB0LWpeiKVbiCeAWpi2joURvxTdNvZ1gbS0NtLuJOA8t0aMFGcJXYGSKqkstPxeBBc92TaZot0sWu2CYZLJjmm4hmyzidBlOly/AX58MaTFe2mQx9CunRnR4Nu/+HoGeiIVTF8lGsVRNH7RrJPHhFT3CSDLQB70cyGj+6PPWh9OpTqi2Q4ro2P3tnixI+88TpqnGyek0HFCxwbXp0WdTvm34ZH43A3Jga8mFGiPKmjX7e7oOMOJ6LjDzWg30znouMQ70HGKZ4JUS3WezYTlEaQhyAL/2j78WLCi3VbjWTijwx7sRXumFsNYqRa0XJ/MNJzcHtb7dyyaB+C8MPvViJHiKIYd1DcsGA39mxZgRSzATukfY2BhrIz6Gw0mQPXKsP4zOKohTGiQmR616wXDrhiDw721gKk1ITjmN6XYH3gZqAqcLcK2TMpJZlA7sDKM3A0v/OqpwiHBYnWzYY9L5RkJHDOAs4ElQVcswi9K0QR4DfhIKS4T4Xfv68nNUWrxauiTDbv+9oIhUymOBJ4GLsp/DpRiKpr98iF3GjsxLLe6VCnKA18C04H5UjhjaH1AEWjf2jFW3gbcB1yPnwyF8c+dUpyEHlN3iPCX/pwtwHeWJEApDkKzl9ZDt1sroK/1ezmlkhlMrZ/rRJAUWYHtUI+MmEGTkTiv1qkPtU6ERe3CZwctjDE8noUzTPbgRPbvVD5PDQWfh81ArbrQ8hulmn8GS8dA7mlwczm4kcLWJEpRDZgIlAZOFcGwfRoYpIuwrdCSLEW5Bfqbt8tpt7Hxe8l19toJV65ORw9rV30gjN4Z9GlO+KePnabB2a/Bwlkgb4Ic4G09UhqdJ3Jo2GPYb4lawD7I1SAhu4tJaZB7rFO1E71v66t+0CQQNQtl2Ez1JMfSdzrIqAL/Px9ktnu9nZ73Nm+hc8o9g44H3gLyDshwkEYgpRPvpcd3MGxtkONME8KIJMstgZ9KgUzFA1dYkAPRuQ27ot3gX0STuWwAyQOZC0NXpTtH6z7qPQcG/+pHH6GZmfsE1d7pj+fREmZMYDD3Hu/9lGOdisevO4buhCXz4I0rCz+VlNYga9BESKXDvCcjRoqzhK7Avi5+LYILcTXda/8COnlKqnqAHA7yEch3cNc5QbrcaOOzzy8O9+aza1VSjM02qF7Hp/ush44RC8U1cV8VNJX6b6m6vPmsS3drDHR2X1a6TK9ppTcYDfJFwcUYSFm0a+FRQeiOZjvsCvIUyCJ0upJ34asJ0DtlsiaP+u4IkNdg1HYHY2hF8OlQpAnaHda3NEQgWSCnQJ8FifecLzdsAXkEpB86/vDATMZnhrq1AllMhvGG3unxyQgYtjvxXrvvgJM+0u/haGyI+XPv8QZwPgmdFHw24tIHJa5JrA2n20HWgrQO+36MGCnuEroCRnzqWMfdxg7r0zWgEk8Eus6A7E3oGJKyiZ/7+/ICqQXyfzBy675w+ggyCORrs9MZnOhNBlkHUjtsXSx9TrUW7re7Wbw6j99B2SBPgzwEcrf1XI+EHt+nMt7RrJSObI4gz4Fc574d0p9j0PFrl2om2mCeXZD90RT1v+s+a3FslOLS0OyJvp+GOY+3Lp+DXIcm6PkWnQNxDVy31u8+0s/2krk6jU9wKZkK6HCM3th56LwoeUAEd/+VakGfdbpvxxbo73yxX4ugN5+no3MbZhR/b8SIkUQxMYElFkvHwOhLYULZxHirDfMhr2Oq8X/2sR1DVsPkl0Ry/wZwjvnyBkpRBhgK3AzcD28PhjUfBRtL5hTH4V/sI/AE0AkdPPRvH+sxsCCCKMWXwFnAygjo86NSNAbeBBoqxZUi5KZfktP43bUL+Ak4AChn/TwYDqhh//1Da+f/pRQHAq8C14iwxqHiN4DbgQfS1zmGTOYYEdYDbyi1oT9UODrxU3fPrp4XG0zQ7bpurZ57co8HHgYWAo1FWAFf4T6OylNMAF5UihdF+Me/apzifT++WoSc/G8pRSngSNj6LlSonliG1/NrVk3oWhX+c1KacYquEBsrNY6AuifBefeJDP0Yhn7sV51RhY4rXPgL9FsJa+pA3mGprEWU4jzgRfQ78U4R9gSjsYFBCUfYVqiRwiUThjV9nbSDJfOT3SnSdQsLl8ERHdvzA8g0kPrJ7RLMTqpzO/SdD5Ll4/3X0jvH0iDssbivCMhAkOfD1qOATvuBPAmyEKR+uvNCus+xdle0d2O09FEgr4M8VoTeZa3xW6h+/radt3OY/Rw6eDssWwFyQdhjJYWx9CXIFf7Xk/ocHcR7JhxvjmgylIYl1un8VpCKqTGFShmQu9DpH84OW38jRkqahK6AkUI6x8ULBB2z18O53FRfzuHkcgMpD3IvyEY0PXmoMVr2fdFjJfw82XKHG4TlHutDW/RB07X7Ur6Rgu39wLlwc25YLmNFjIV+2h376rRSPKS/+XPurGTShlhiaJDeIPNAyqWg89MgN4TXZt4uxJ2NiRaTwh4fKY6hNrBsGZzxalTGeDAxgcG/y8LeRI2agNwA8p/Efrdfi6Djar9CuzBXDVt3I0ZKooSugJFCOifDFwjIsZZhsr9/OgxfjUvCh0L0PxfNjDgJ5LCw+yGml1O+O2lovaiWgnT22mC1Tl0+BLk17DYo6VIcdu6h48eZzQvpnszYJ4a25pdNIMenpq+0Bvk+/H71xnMgrI0xb9tiyF9RG+N+eHcknpifkTZjqfv6i/dY8bYtRKE9Gc5M4bvtrDXMTYRM5GPESEmW0BUwUkjnZPgCAXkc5HZvdLBbFF+5HGbfh2b+GwpSuujE9ClRzR8C8go6YXe7sNs//baSc0HmounSm3tcdg19KvrEvzJxDzaSajtHd+cepALI+TB4ld8LSyulwspkQ6Hh0SA/gfRLvayadWH0X3D57JIwZp3HyIj1IFeAlA9bx8z0Tx7jmYYjREGS310LBa7aEyxLbItJUZ1Pgu2H/6WmyS2CebwsOj3OryAtwtbdiJGSLqErYKSQzqHlG/YvkEunO7T+110AACAASURBVJ02oXM4bQU5PPH/9i/zVF7yhZyAHQPyJSz+CXr9avdyTdHvX4Fcae38PQBSMey2z7zPpDRID+sl9hbI0am2c9FlfzQMhu2K2g5+SZIo7dyj4wBboBk7Z6CZFL+EPnODWFjC0x3gxt8LULQ/aI3rlE67i8PJavrtYrsxlg3vD7RO7LegXWCbptpOwervNMYHZqPTKFQsCX1nb+wuFB3vGlQs+ZyXYND24tqG7u8/rVQzNdFs2O+DHBK27kaM7AsSugJGHDoGOUgTuwzcmjiB9lkLSxeBfANyTrJxMWM8yKTEsvIn4nz3rlsE2uRCxS5uX/IgpeDKb+wXpedOgfOnFp4LSOqAfALyM0jjsNvdw/4rh3Zl2Qw/vgRXrXC7EIjyKVVJET/buKiNAP0sSSOQ60H+DyQXTYp0D8h5IBVi5fi/OAdpD/JB3N/trM2NKlFoz3DHSaGxTDXQaSKWod3fbqAApX2YJ2zOfdJvIdqLIQ/kpyBTa/hzn+Fu6KBzVi6Hi06McjoIP8diqs8/yEUgG6y5z7h/GjESkISugBGbTtGneT/oUzHbhKmlQC6HZTkweEeicdd+Dwy5JrG8/PiegkQPXf/W/xdXL3nnl+2ov+DmPPvPOn1hLY42g9xICSU9ATkEBiz2YjEV9qJmXxB7A2v4P/BmT+/LvWI53NEKpD/IZOtZWIx25+5UmLEVBDsuSF8sllR0IvZ1IGelV8a+O2bRHg4tQP7D/xLXS0eoXy/ME7aiNhHQuQ6bQv9lxbnvwtyAIBY3e3LY7eBmLLgvv/DnH+3t8CA6BKRZ2O1hxMi+JiZPYMSgFJWBT4CZwAiRXME+P9Z/lerZHp7tBs8Dt2HlPioFfe5TKuuTWO6j6ofrdF3538H6+VwZuA+4Na7YCkC1dko1n1gwn5Vdbiz9+bq1Or9PwXw/X7xl/d49+bP6DYF/gNNFyE6vlYoPRNis1Ia1UOGYxE8yyYHl1M72OR7DgvM4CeZ6N9B5rArmdes3BTo/rhSlRXg+s5IbTIjlTAP986m6cNf76ByA7wHDRVidqp74mJvTQjVgvZXL7WXgGRFmpFdE8RizfkAEQc/jM5ViCHAJcB1c1hhuOiB5LGRPwP8+dRjjsWdMhF3AN0rN/Rby6hXfvmvxOIzpCuNLB5dPFpSiPDAZGCXCz37W5R5O85JXYzF3q9PzrxS1gdeBdcApImxxX5+BgUFaCNsK3dcl0RXj7Ndh8RyQR0ghlkRfM06K2u3U5Q+SRKa/HOu7t9hce33+SWGupopvNhEqtXDaMSxsN9H5ZOXj61K5x5IgXu1IF4cYHbc6RvUe0fGvK0DGZTJui+OJmHUiOcg6qZ8JUsab8XDVirD7M9x27fZ1cRgLUX0WU9df3oavHwzaFdM6+X0l6u83kNLQe65fY1GfJi9fB/03J4+hd/uh0z8Ni3o7GTFSksWcBIYIfeJx0Wexnbg84MZt8Eon6wSwCKxbC8eRuMsGyadMC56CWpfD3aVi9dwKXA3MI7ZTlweMAcT6+7lKcF9zuL459LkQRlWy2zEUmX1FYTvL+rODpsFBtWHrStjeReTcOZm0WfHEgtEwrDU8VM3NjnRsB3+/t6HCIfDDjCBPyVKD087y7heV4kmgXCFSHnq1hDtrhnVK4gQRlihFc+B94Cil6CfC36mXULxOxPTc1Ls97GkPB1aFPW1E7vwn3XKST51q1IR+k0VeyvFe6+KCldmQ1zTqYyGx7047C3Zug6kdwpxvUvUSUIr2QANo2k1k9s7g9KMX0BRoIkIK73A/dbFvK6WoAfTRcvABfsxLStEbuBvq9oZXF8Bc6/nftB4e3g2njAT+JcL3buoxMDBwibCt0H1Z3J4Q6Z3aNrmpnQRut07/hglcLHCFQPM98KbNCeHYuLLGxpXZKe4EMV/ary+cWVSqgrxqfX9d2G0eXl/PeQl6zfEmT5l0BHk/7Huy183pxGvEJpA3QF4CecqKA7kTZAyaDOBakN7QZ0GUT0lAKqIZID8CqZT6dZVqQe/fisOpip8nQCCnWfE/pcO+z/Dat99pcF2gqQo86LdG1kl4aKc2qY5LkPIgK0HapF5u5sQoseuv+BZG74T7UqrXfVsk6pz4v5OnQLecxLa6ei0s+BjNXvsESENnT51Pb8hwnJQFeRRkCcixBT6rBzIH5E2QA8Me00aMGBFjBIba+B64iGk3za65hb0YdT05An0FhkvidwcLzIwzBEdbhmL+5+Pi9LpFoJf1eY71+WjbetGkCD3RjF/3Wm4fz4bd5uH1tSwEOc2jso4FWR72Pdnr5nZjw+n6VpPDvre49i8D8izIjxRgfSz8uo+vgyEro8oS6FUfptB+34BcGPZ9hjh+7ocfX4gyY6SNzvmJvj3Nf5qeDikzTd4J8t/UyrQzghLCIArtlzBcZu3r7JiTaPSNFvu2uvIbCqRgSiaZuusca6NmZDpGP8ihIF+AfFDQyAO5DE2Uc22YGwlGjBhJlNAV2JfF21gx5wWF/t/oAi+GHMvAGyTQrYBhOERibKI5cf/Pjz8cbRmTfSTxZFDrDrefDSPWwchcaP+BxWh6LcgTYbd5OP0s1dDsgJ6cfqAZ1XaC7B/2vdmPRbsk425iAgdssdKiHBr2/cX1gbJOMVcW3PEu5JrxIOPC1r1oPf2NX0TnBP047PsMadxUA/mdAnlci4OAjApzDk9lXIIcZxkb1VMr0+kdPC5h7rLm3JogzUA6gwwBuRsGr/BzwyR1nQsafWNt2imxrYro6xog89F5e5NSNiSfRD7WzjIc74x/z6FTJT2FTpdySthj2IgRI4liYgJDxYLR0L9pYkzgmH+g+WPplFI0U+CC0VCjExxfDjYDo4FtwKPAOOAZEmOw7gTaA08ANS29BqPjCCsApYDx1rU14+qpAJzaDv64HG7Pjz9sB/0/g6/+C2emEUNVotASmCHCHi8KE2G3UvwK1AUWelGmV9AxJ188BzdfDatzCsaHpnZ9cnwpPNEH+FwpWouwydebSElPBBivFKuBL5Wiswgzi7jsaGCq/9q5he/xi5OB+5XiaBGWelRmccFI4BURIhX/lyImAT8oxTARdgdffVZWYeNSKRTwJHCbCOtSK7P64fqdeB+wF/1u62n9nh+PXGsRUBrYAKwF1lg/18LOnUXH5HuN6ocn11mKxP+Vws0zLMIapTgLzVr8slL0zu9zey6DMV3hw6Ei7R7PL0MpjkHTki8CThUhN63bNDAw8B3GCAwR9gve+1ZD8yeV4kwRtntXz+kfQ/WO8DBQEZiAfvmtJfaiWAW8iH4BViJmHM5Dr13yDcL8F87+BWrKA9YepNnkCxJ7DP4XnPm5F/dTDNEK+MLjMhcDxxIxI1Cj1RnQ6iYR3sjkartNDaUYY/0aGUMQQIQXlGItMEUp+ovwViFfPxpYFpBqLmC3OeUdtb4IO5X67g14YapSG9cFnQYkLChFdaAHcELYumQCEXKUYiFwPvBuUPUqRWngARiVBdeugsdrOozLK9EvtydTL33FNv1OHE8yORrW/5b+ALS028RTasHxkHdcsCQ/ZUolG3h7SfxfT/R9xN9Xes+wCFuV4lx0God3rY2uPHvyr/GloW0z0EagUnQHHkLvOD9jbZoZGBhEDMYIDBkFF7zWbuahwERr0vXk9AgWDYfybeH9CnAPeuK+D6iDfkH8jM43eAN68+4k4Ns9sG0nvFRBs5Dms4oOtn7/9k/IqxR7yQzfANuzoULzxLorAOUqQzpsisUDKbLVtUIfq3qJJcAxRX4rYChFJaAF0NXLckWQCBuCHyvFecB7SnGECA/Hfx4bI61PhJnXK/XjyCgbPEXlkXML3R6d2luL+WOtBWpTpbLaRLldPMBNwEupn1JFEdP+D6Y+otTqYUEY71bOvVeBylC/Cbx9ICydAA0aQaUDYWobi/GyCvBvoEN678z90IZS/GlgBWCj9Xke8Nsq5zL93TApCKXoDHcdD4NXw6NHxOpcsAquAZ6xDORDgJWr4JyfoEblTJ9hEXYoxcXoHeHPlbqyPxzSxun00+qvR4AzgTYizHV5ywYGBn4ibH9UI8lixR98AXKvt+VeNFvHBeTHO4yVGGFMh7g4wIQg+e1w0kfQeYeOO8gnhLliOYy7AUZth2HroNUbsTgBuxiJc7fCtSvdM2O6Y3Lztj3j49dyrLiMLjugyZQ4gpwjQDbbxVW4HCN9QF4Me6za6NXZz3gvKxZvAsi8KMUIWrrVAlkEcj8cXFuPz4tmawbfhRnFSJZEcZ4jWr+Z6nMSpXkgxbFxOJqVMWUioaiJbvOrVmQa75tBm1UF+RbkZZD9Cny2P5p07Fjr76dAHku/jnzStILvvV7W+7Do+ysqJt/D9rgMZD3IyXZ1+qmHnne/ewKG7XYmnbngXZAFIBNJgznZiBEj4UnoChhx6BikCshSkD7elRmfKmJEXDD59aKZP50Tzye+YFq/CfPeA8mmAA23PbFHD/FiEewXE1umC8rk9kzWC02C8ZYP46MFyNdhj1MbvV4GGehzHVE2BKvAou9g0J+J46EgyZJ/xBFRF2eCj1t2g+yyCCZmoVOKPIhOIXI5yJkgdeDUo4tbEnOQR0DuD1sPd/fgN2ts/Dx8/lRYtgrkdhzYJOGbR2DAErjqB7hlB3Q6MbN7cjJqmq2IypgCuQJkHUja9+h9/9u9767ZANm/g/R26i8jRoxET0JXwEghnYPUt3b+WntTXsGTq8EC3ffGDMBbbBZmIvmMYtbi+2qQjSB3g5R3rud/O5IrYgagiJuFg/Mi5LIvQVrpHVKpBVI5vROF1BeUiQuVDuv1NYUZz/IfkEE+jI1D0YyjkXnholMnbAY5MoC6ImwItpjkzDiY/3c08h6G0z7OxgTIAdrQkzNBuoKMQDMUvmEZhjlw6x4/jRHv7jN/rrhsJozZBf08SRGTXt3enZT6yRprPw9fs6HweThzFuLEcrrs8Ou+vOlL6QmyBuT4cPWI7/98dvGxAv/aAUuXgTQIu62MGDGSnpiYwAhDhGVK0RV4XSnOFmGxu/JsY32eggYvw/O1NfmLPaOYUhyNjgsoD7SVQnz94+Mcleo8DY6rnfiNTNnT7FjRKgA1jkMHKx4IHGRJeaXIBbYCfxT4Gfd7++7JQe5P1YXf7laKK0T4J7+mZFa0Mej2yY8jgURynf3bQPZuqHtf+vdaJDYDgo4f3VjEd4PCGcCvIvzmd0Ui0Y0RhKrV7MfpXut3v4kjog7nOCoRdgIrLLGFUvO/gAotE//rjpExxdjeNMsryKDY/7VM4x7T0c+hblcxl1b9tfxjjbUjG3mgKsyfgC3zdYMJ8Hit5Hk72+H79oiRpuV1DJbcJTUoRR80DXdrt+9/94hnDa6JfuXmATetg/oni5AXqnoGBgZpwxiBEYcI05XiJuB9pWgqwmZ35dkxL2adA3d+BkPqatKXR9E2xnPA4r+gdiNY8Q3UuR14VNIKvPeSbt6prK8/EUlikywDVCbRMCz4+1FQvb79gv3MLsAlSrEX2AH8BYMrwBUVYwQC24GbrWry0G32KHCbVUbeYTBmDzy3A4/ZsS0jaDGaHCYqRuCFBJgCIbqGoNM4zadt9484ojjAPfHMujVeGiN+GE32Rk36Rkoq+llkYmWBA7Q0e9CruhPrH1VbL/z/N7/h3Vg+5oT0Ui04bQhmshFQ61YY0x7GlwmC3CVVKMUA9AumlUgUWIXtNm+u2wj/bS3yqDEADQyKI8I+ijSSmljulzPwKUF4zH2o7Sw45Ve4+G8dKzFW9M9Ov4Udx+dHTGARrmkKTdJTGaQ6tP8xORbicoEW/0BPKSS2xBc3NZAXQPqGPTYtXRTIcpBGIdUdGddQ+3HaNVc/W9EnMYm6wNu9YfjfXs0DfsS6eek66azfmF0gO0D2guwGydWu+qN2eunemFh/vhvgLeJFzBzIsSDvwc1/ptMHXvWZNXe8Bj++EAS5S+G6xLvw9vgelv8GUidoPQrX8fwTYPBKuGm7JoIxc5kRI8VZQlfASIodhZQCeRvkRb/jwKDxuzA8zqBZKJo99F+bMnlBeslaFitr1E44d4r7RUjqhqVe9BRceOQbfjkCV9rES4wTaDvLpzFxE8h9YY9NS5fjQX71e2wWUn+cIdjrlLCZI4NiDNzXBKQ2yAZ4oZN3c4qTwdZjTqabbtDyDa8MS2f9LpkBUh6kdOL3vTVq/YgFBDkE5FGQTSAjoGFaZD9ebQiiibsWgJQLd1zbEqrlRGneAGkIsgTkWRz4AIwYMVK8JHQFjKTRWUgFkB9h1j1+LXJBLoSO/yTu/NozX4bcFj+BnOJNWakt2GMpNuJlbNzv48QhzUauH+0F0hHkvXD7Ib/tBi7XTH1hpuwQBd8+CkN3RW28GvGkfw/Q858M9bZcJ6Pphk3W6dqHIENBjktlk0PP04t/hIFbvfGAOOPV9E7JvPWYyNSotCOnQad2GGEZf4+AHJL8/dQMe7cbLWgSsU0gDcMf2/4yr7rTTRRIf6utuoWtjxEjRryT0BUwkmaHMaSJl65QsXKlOshkkKXQaUuiYRO9lxPI5xRIT+F/nXYv6ngX0BzRJ6bBtJe1KF0WXh/4k7LD+z4Kf7wa8aJv5WmQ170+bS5sHIMcBNLFOv341ZLnQC4FqZJYRrOJ0Hk6XLcWfp4cyxXp7rQSvnscBu9I5znT+pw/FW7O88b7Ir3n3P6aPuustA/vYuX3C3EslQb5CuT6CIzrUnDNIq9PWz3SrbL1zP0McnTYbWXEiBFvxRDDFDt8PwQ+LeNd0D+lgD7AHWj2z6tg9aQYW1o+82U862UpoGJt+xIDwxagSrBV2gXGL1gF1wDP1NSMaUfjHWFBkcgGjlSK/UTY7UP5RcA78gvvUO+YANvfICAoRQ/gbKCxCOJl2YlENa06w5xPYNbQOFKYN4E3LQKWY4BzgR7Ac0qxCL79Bi7pDI/UiM0LAxrBbhGZ7eo5UIqLoHF7ePwMaDsiVSIdizDmRuBdEXfPYqx9fr0LzroUPv9v0UQ+dnPDQ9Xgqs9E3rrQjT4e4SZgN/BAmEooxZnAQ1D5YP+YVzODUpwKvA58CjQVzdxrYGBQgmCMwGIHJ1a0mmkbZUpxLNrw2w84R4T5+v+LhsM1jbRhUwpYBDxPIivc4hOVyqrlhkY9dT2T6dEh93fgYL/rjocTq6H+tG3+/2pBXu0gXuYi7FaKX4G66E4KGF4y9LmDUhwPjIejjo/aYsrAHZTiJDQlb0sR/vSjjnzWZKUQ4EsRcpK/gwCLLXlEKfYHzoD/PBIzAEH/fLIuLHe1GaIU9YBngQ4iL/7kpiy3sIzKXsDFIuNT0MNpbpDSPqiXFpSiMTAEOFXkf3lbgtahJnAP0Ay4CZ6aDesKMsCGwlBqbXZcC4wFBonwRtA6GBgYBANjBBY7ONHP1ztVKT4FXgCmiPCXUwlKsR96J3Qw2rJ7UuLSPljGTktt2FSsDTMbwztlExc5z1XSn/u7MHGiR4fvPoImAZ8ExhaLNh9ZeRGzakH/IF/mS9CnEyEYgRvWhW1wKUVtdB6tC4B74PNRsOqDKCymDDJHbOPniCOhXiM4e4zIeb8EUPUM4Cx0fpxCIcIuYJpSmzdChRMSP3Wbt5DywFvAOBG+zbQcj5HvBpICvEwN5B2UoiLwKtq4WR1S/SOBgcAjQC8RdkAu7tKmeKbfgegd31pAMxGyg6zfwMAgWBgjsNjBKdHyonYwvhHQC3hUKSYD/wG+h6yasZO0Pbvh3jpQfzFwijgk9k5M+N5xNlRolviNoE58nFwOBzeDJtP9rz89uM+BljaWAMf6VLYj9EbCU5Xh5r/grnJBG1xKUR24BbgceAyoL8I2+DoSiykDe6SS9Nxh42ewUpdMDaAfv0KPqzTgrcFjncQ8BcwDnsykDJ+QhhFo9566fks4J1vxY676kdD3Z5GGk4PVgVLo9+mdwJfAyQXfvYVsMAYCpWgCvAa8D3SzNjkMDAxKMIwRWMxQhJGxFHhdKY4ErgImwbK90K0K3H9w7GU8bD28PkQk19YATMbGFZDXLJxd3bpH27sVlSlHwO6gqSLgl/li4IyA6gJAKQ4AJkODvTD7ZGg7NiiDSymqADegAzFfBI6VAgniw15MGdgjhaTnVYCG0OU+eDSsWNMlQHmlqCnCqtQucdqYy9jg6Qc0QsdheRr/6BIpG4HJ76ncLfB0C3jyWEh2tfUL9mNuYGmlpgQSyqB1oBnwkPXnJSJ8HUS9qcLadBiGTkzfX4S3Q1bJwMAgIBgjsBiiqEWutcN4h1LcCTd+BBPrJwfo/5LGgip+kbMZ7Sm1ZBfsqeBXXKBSlAVuhlon2u+ylylN4MQwkcQSoHdQlSlFBeAdNDHPFSI//E0aC/NUToIc6q0IDAWGA29js5NuEE3E+vzUNvDUYcnG3SFfKcVe9PM8FypVDSvWVARRihnAmZCaEejl6b91GnM7cIYIeele7zMEUEqhUjFOC76nlKIFrJii1ICZULFyOs9/5rDzJHmiNiwLIJSBI4G70YRGNwOvhhWDGI/EOXjLZnjsQDjhQOB0EVaGrZ+BgUFwMEZgCYZe0JQq63ZBFVvkLHgQap0PDQ6A4/aHYzrC4ecr1egjyB6e2aInqxbUfRAObAaVgA1fw6WPw4i7gN/hr1bQf2LiTu6wdTD6aOBopTgKskplYliUDPTdAdVPVeqXaX7fu1JkAR+gWUmvjo8jTe16u135K1oodfpPcITtotAi3+iHXkR9gY5TWebRLRn4gMRF5opt0MEimboH+7nozz+ATkC2CHuV+n4i5HUPMZ4sPy5wYqoXeHH6rBSHAJOBflEc45aBLICCTE4os1ZDN+DtjnYnwV7qGkPw5FVWPOeN6Jj7x9H9ud2v+tKB/Rx84x8wvYnIL8YANDDY1xB2jgoj/oqXedPg5CkwXBJzPw0XGJxRfjidS6pjTnKZg/fA5zfn5wOzSwoMcqr+fvZW6L85Srnqguvb4PL0gVQB+R7kCZBS3ozFHEnu+//lZysD0htkFch7UUjovK+LXfJvm++0gK65sT6Nz6N5vUMOzSZTkusJL/8kyMkgi4JtWykN8jHIvz0s8xiQJR7r+Q9ImcyuDT6HZ5B1opOqd7NySb4GUjPIMRS19jBixEj0xZwElnh4Ga9yYDPoi2Zrzw8P6YvmUXglg5idBhOgQU1NVBrvrnNXKWh7gshsAftddqXYCWyEgV/DWxdFK1ddUAgmT59SVEXnivoUuEEk0zilgrvyLwLjSdb/n1eAqsA64HIRZmdWn4FXKCqeL/ad0z/UzMH5fVqK2O//AGOI9Xme9XdiissQyJUKYj5QTSmqirAxoDpvRafqSZOUJnCkQQ5TEGGklLlhGoy5DMaX8ZO8ynLjfRgoiyZVmell+d6heo2wXK0NDAyiB2MElnB4u6D6u4xmtz4J/a67FM0mrUj3RaJdn05qnLhIzEdKZVnJ4itk7bsvNf8XVUpRA/gcnTR4XOYGICSzKO7FXv+aDYEuwKfu6nOHTOMXSyacNhz2TFSKx/X/2l8LdSol9mkpYn2ehQ5fjd9EGgrkVC5YW5jkPiLsUYrZ6LjAt/yuTyn+hW6YU0X4x+/6XGIvesLPAP6njUh8ZrdvgydbQG5XaHuxFxsKyXPC6Y/Cg9cCrdEG/MsSgbg/O2g31aPqRjF1h4GBQTgwRuA+AG/iVbJqQbvK2ujL31G9FbgafZIXe5E4LZ4tVsn2wJXA2bD/Vr2myOSllHU4DBNQp+jThD5AzTSuL97QjG4VK3r9Qk9eRD1+CtR7XIR73Oqsd9+vaaHjwyrg3Pcz3hXhE/f1ZY5UTr72LThuONQDLtR/V6uvN4fi+7QnMAidxaMUcAh63shHZJ/V/LhAX41AK8/lC8DFImzwsy6P4OIk0HMW1QTYP7MjfodJP4rkuu5H+/IHdYNXXoErjxXhT7d1+AXLm+Nd6PUDDNgNT5o8qgYGBiYm0EhqEoslyBEYJzBUoKPA5QIdRMf2VaplH8/TezX8NAnkd5DPQXqCZDnHBHbLKSz+x76O4ZZuJT8mEKQ8yCuwdBH0XOVV7JR9u/bb5FVbxvp7tMDY/FjSvYn1Dd0F7RuE38Ymdibd9tDfWSgwosDzfME/sTmjV4HPuuZG8VkFaQbyk891lAOZAzLMp/L9iAncDlIh8+vz40ovmwljdsHx9b3Tzd9n1rn8NpEcw3F9djTIcpDxOm4xOcY+bB2NGDESjoSugJHiIZoMIsda4Nkt9LrlxF4udi/K3nNAjkwut1ItTTjTcj20Xw9NphT1UnKuo+X6kv5SA6kHMk8bgVLeyxd6OIuohQLNV8b0n/MyyGcg+4XYxpVh4PJEPfPl4mlhj4Fw2qRospbYdxZaG0W3WAvk0z6OXZcT91kngbazwr43+3ttMQlG/wMtX/dyPkkk17l2Gcx7L58Ay/v78NYI1LqP2Q1dvvRingWZDXKed/p1mmb/zHb5Mrnt09ffufxbIrs5BNIcZD1In7B1MWLESPTEuIMapIh1a3V+wNvQMT23kRgf9ExNuO0H2K+yvdvY1j/EJq+b5Vp3cXq6OLmmHbRQ5O0SSwajFBeiO2Ec8KQIAl7GTvkdY1izdnL5xwGHrRR5+xwApSiNdsF7Ximu0vcYDJSiGjpIrS+UzjWxMzHEYosP/Ax2/w3zfywYW+UUf6w/7TNPE8bUBK5Hu4ROAK5eGcLtOEKprBaa3Ob0Sjpa4olL4fYLlMpqJ5LriuzDKXE5TKlpPceRRUz3kWWhwlkeuUe/DXQGPvZGS6eYw+OaKjXnJejcEh47KnP3bqfyyxKVGPREd/79ysAdJ0Cd7iJ8FLZuBgYGEUTYVqiR4iF6F7XLDr3zOdZmN1QErvoBWk32241uX3PVQ9PH32FRjzf1rx5/2hWkKshD+gSo6PItd9evQe4KqH3rgDwJsgXkMZBaYacpyPxe8k87zp0FzVbAh6McAwAAIABJREFURbO9PB0H+RKkVQZ6tdCngrdYJ4ELI9eeuu3i01tsj/N8cO/yF/S85eVJoB+6W8/dBpDS3vWf3TM77HToO8+t/oWPj/DfPfb33+u3KD1jRowYiZaEroCR4iPaVXO7FLaYD2LxXFwX6JndqxwK8ik6lrKqv3XZtevQXXD+CRnqfiDIBHQs6OOwdBn0/z2VfgM5BGQJyEAf27YhyCSQzZaeVRM/r1QLbs6Fbl977Wbs1jWt8P6zc9f25vkAWQ1ylLt79iYWKcW8hSm3M5zxqv28lu++6nYzpNMXQboYe2sEOrlCutMd5CeQs930cSpjzCv97TczrtkYhXfPvrY5asSIEfdi3EEN0sCi4dD/RBhVV7tz5buExhjGgsjxFYE8YoHAyj01GZgEjBGf6ePt2/UJBSffqxQXplq/piJnMKy4ER7cCpsXQ+WWMGQ1TD0P5t5eVL+JsFkpLgBmKsVaEd7J5J7smGoh90g0pW0j4EGgvwi59u3BBuAqEZZlUr+zTh2mx1hS84BrWiiV1RJyVwPlMpNuneH+uvbu2u7zRypFOeBgYE0m13uZ9iH1vIV23xnbE24vD9SPk3pwTj17d+i/cevyp1lA6xwflIuxvvcz7oFGRyg1fWKm82Ps+SnfwB/dv/4cXnlaqQ1rC6Zh0XW3nq5zyZYCjgcOa6FUVkune3EeYyu2aRbpUpb0RDPVpqe/SO5MpbJOgjxrjvx2OzzWAp6OwFoqjDyMBgYGxRphW6FGipfEdlrbWu5mF84q6WQswbexKJD+IBtBOoasS1mQjzVhS1GnLrIfyLUga2H++8nMpVetSJ+MQU4D2QTSPH3d7U42h/wFy3JArgE5IIX6l4F4xmCoy8w/UZcCO/Yj9oDsQTMwbrLcf5eA/Gy5x04D+QDkTTQx0DMgD4PcDXIrDLDIbJzctV2f2hwPsjjM8RjTxenU45oFIPeDPAoDl9p/Z9R262T9aZDrQS7S99Zikv33O0imLn/Ws3y1Pm2eeWcQHgxeeUoklpMjySzO7nTX5TuzG2vCsIJ1Dhc4eUr69XTLSS5HM1q7b28ZCjILj9xaM9ejz1xzEmjEiJF0JHQFjBgxEhN0PNxLIPO9Nj4y16l9A+0W6rRYk9IgV4GsBPk/kFO8dE0CuQDNcHdMetc56XDGq2nU7YMR2GG9vZHWYT0umCJj95ta7GV6ZVeqBZd8ASM2R2HTx9m9b+Byy7AbAv2WpGMMO8RUCXyaoREl1UDeQ7s8nhirw196fq+eveRyckSnd2nvCQuzs5595+vNpHO3OrFAe1NPk7SMyUL6uZS1QTMyvOdBrodl2dBj5b4QJmHEiBFvJAIuDAYG+y4S3RXzcuHR+lD/Z6CpCHlh66fx+03w2n527oVK8TYwHtgK9BBhBoBS3rkmifB/SjEK+D+laC7C+tSudNKhavV0dfAWf2LvWvcnIm7YUPOTcdu5aw/fkGlCaBu3yu4eMEO6hBNT40/fiHAfgFLzmkDe0am6MCa6Qx9aGzZVh4rrYOzKdN0plaIL8BiazbezCLvz68AzNl8nePXsFSynJvpR77RQZLYH9+Ck534VgAZQpZz95xU9qqdG5TQLsoUIe5WiF/CDUnwownwvyk0VSjEAGAj1zoK3y8DSEh0mYWBg4B2MEWhgEBIS6ejLApcC92+GSbeI5EbEAATnRdRZFwInADcA/5dowDgt0jOLIRLhP0pxJPCBUrQU4c+ir/JWBy+gFKWgykYYc5heUOcbaWOAP752U3aiEVOxNrStDoeugz1b4ZFm8EyGi94GE2IGIHgVY+gO+QZvQrxfdqKhm8p3EuHWSFOKg4BHgSZARxG+ybSszOHVuPf7+XEqf85sEQYotaIa5HVM/nxjms+J//OACKuUYiTwilI0yTf6/UDixmG5A+C2WlC3hQir0aHNJTZNkoGBgccI+yjSiJF9UaJON56oq5M71a17QRo435+38U9WfNWzIB+BlC36+2/3guF/u9HBS3dQkKO029jiH6Dzb9q1bqzlYudNfFIhdV8Okg1SJf1ru0xPx60yuHGZ71p56VcwZhe0TxqLQbhfxrVxW5Df0GlGKoTbLgWfvf6bM4sJHPiHX+6FRc0R9rF8vdNm4rSvZ9juTFmPC+l/BfI+yPhg+7bnKuPyacSIkUxEibjwPjIwMMgISjWfCJ92T96dvg+Y+0V+8vQoQO88d5kBjx4Zl+R6JfR7A5r3AqYDt4vwS/J1DSZA7bpQpxEsbCzylitXKaUoA0wFNgK9RezdJ5WiBvAjvDIYnrwoU/copVgGtBMX7KBKoYCr0J17P3AvZB2p2yY4ty2luB9ogL6fPSleUxNGzoGxVZLHattXvXELdA+leBP4TISnQqi7AvBv4CL0mPw0aB0KIvbsVTscduTCE2dBnUYirEq9DA6ClSuh72eQVcWPcZqoZ3L5iZ+XLQXjD4GjT3R67lOv54kycPJfIvTy6l50PVQHfgY6iPCdl2Xr8vPfG5uBF4G9lrz/jshPF3tdn4GBQcmGMQINDEKAUp2nwVutkj8ZDUyL0uK6PnAbrGgDt6+C7XmwdnUsHQgVgYHACOBLtDG4wKac54E1Ioz1QKeKwBfAhyLcavN5aeBztFEwwWVdaRmBySkpTngQnh0N1AWuFGGuG33cwDKgPwa+E+HmFL5/DjAJZj4HT3dNdqucGmJMYCKU4lzgLhFODbjeZsBLwLfAEBG2Bll/qlCK0UBjES5K45qRwPEi9PBPs9ShXamZC9wgwkcuy6oIzAFGi/CGF/rFlX0pcDvQSIS/vC278zR4oJX2OI6P+e33F7x7fFSeRwMDg+IBYwQaGIQA55PAjn/CtyeF/TJXiiPQgWqdgYeAh6WQODxrUTUAbQx+hTYG58d9Xgv4EThGhM0e6FcVmA38W4RnC3w2DjgTODfVE69C6knZCLTPSzdmD1z+LDQeJsIuN7p4AaU4FPgeuF6ENx2+o9D9OALoLsK0ok5swoZlIGQDXUT4MYD69kOz71wNXCvCW37X6QZKsT/agLpRhHdT+H5ZYAX6ROtnv/VLFUrRDZ3X8ywPymoMfACcJsKvrpVLLPu/wAYRhrkrp+Cm0l8VoH1HneY0uifzBgYGxQPGCDQwCAH2BsO1e2BaW5FfvwhPLw4BbkZnU34WuEeELWlcXwHojyaLmYk2BudZnz0BbBfhRo90rQ/MgCmj4N7WeqEk/8B9J0OdhiKs86CONIxAJ8M+WoszpTgV+AhomezCSwXgeaAe0MnrxbGfUIpbgKNE6OdzPScCLwO/AddIymy14cI62f0PcIIUwTxsGVt9RbDxVggP+jR7+XK4YQmUKlswwXwG5d0MnAe0drthVKDcKsA89Ol/RvO5/TtiwBr4oxq8Wzr5ik6RCiMwMDCIPgw7qIFBCEhkcsw/XXn2EHjxEshs0eAGSpEFXAcMBl4DGmRiRFmLy/uV4km0MfixUnyNdo+6A1b+olTfOlC5itsFnAjLlHp+APzyJnxaOrZQGroW3tjfYsrLGHoRNugwWPWyUiuz7XRVigOAxsCZcMYFXqXF8BMi/KgUN8Dy95Tq+z1UOVT3xQXPwpjHgB+AM712ZQsALwC/KMUIEbZ7XbjlZnwdcCMwEngh3di0MKFPdJkFjEXrbwvrJHg4mr42Ysg6Ai4vDxPPjXNNdpOu5B60EXgjcJdXWoqwRSmuAV5QipNEMpmM7Fh5n6wBHbdBXuUosR4bGBgUU4TNTGPEiBEtIJVBloJcGWCd5azk2hutJPV1PC6/PMhwkLWw4CMYssNbxlDvktInluvEXHj+CSDngdwBMgNkO8gPIA/AZV/6oYs//W7H/Dj8H/hitJuE9WELyDsgfXwoty7IVyBfgtQO+z5d3Ec1kE1OrL7Wd1pYrLilwtY3WTfvn3eQI635r7EP7f0MyHOZXdtpmj0r74WzvGZeNmLEyL4ppYI3Ow0MDOwgwjZ0DN4DSnGSn3UpRVml6AcsA5oDrUToIcIKL+sRYYcIDwJ14d6D4c5yyfnmGrggb/EuKX0inHLjNfkZGAUIMAGoLsJpIlwHH/bQhCn5nnZF56ULDw0mwD2VE+9vfGkYdaxI8TndssGzQF+vClMKZZ3ofAtMQT8nK70qP2iIdl0dBzxhnfjZ4TrgIRH2BqZYyvD+eRfhN+BaYJIV2+wlRgCtleJf6V+an98wHnnAppUwtQ20fRU6faF/RoekycDAoPjAuIMaGEQIIsxXiuHAW0pxmmUYegaLQKMr2j1zBXCxCN97WYcdRPhLqT//9N5g8ysRtNNi85eZ4hAnZe/iGy0ClRj8Mp5jSCa1CKQtPgKeUoqTxSWhiUX3/zxwGHCWCAu9UDD1+n1rv6fQMb890HkG4upr/hCc1g6+2q3UTx9Eb+z687yLMFkp2gEPo8l+PIEIfypFT7SBeZIIv6d+9YLR0L9pMivv/8ZBZOKMDQwMiieMEWhgEDGIMFFTz//yulJ9N3uxCLR2/TugT6/y0KQPAcce+rGAc14ouVLVUde1awq7qvgszvwynjXsSS1cxW6lBBH2KMVz6NPAazMtx6L5fxRtME0Q4W+PVEyxfv/az2qj/sAHSvGeCL/b1HcZ9D/N7/5KH3497wAMAX5Sii7iwJybCUT4UileB54ALkv9uvhNpaZtYGM2vNs9Wv1hYGBQrBG2P6oRI0aSBRoeDUN3ehH3AdIK5GuQeSAdwor5co6zcxfLosttNhEunqZ/uo+N8UvXqIjf9+dXrGZqdcuRIL+DlM/g2iogk0AWgzQJr3/8bz+QR0GeCbu/0tc7/3kfsByuXeblMwlyOmRvgrZv65g8r+YTKQeyED4cpMtMr2yQkSD3h932RowYKVliTgINDCKJ8mPhjv2TY9KyJ5DiSZNSNAHuAGqjGQFfkxDjfPxyl/Tj9K14uXamD//vz393UyeI8JvFSHspce6ORUEpzkO7f74JnCLCDn80LFKPCnB8wwDabzRkL1FqxFFQrUlxYLaF2POuFEcCP8NjrlPBxJC1AbormHKxlyewIvyl1DMjYfGURCbjlMueh47VNDAwMPAMxgg0MIgknBbRp5+jFF2AT8WKF0yOHbrkZRg+AJ264HY0lX2g7mxOKD7uksVL10zg7/35626aAp5F0/6/WNQXLTKQe4F2wFUiTPNXNVsdKgH/AroAbaFynv/tl3WQDg9+9Ty4j5D7K21Yxv584ALgHW9KbTAB7jvYzeabM168LGYApl32PKChUiiRYk3cZGBgECEYdlADg0jCiRlu6xqgN7BaKb5Uava/ocsMnaT8rVb6528fwsxfgPoiPBMVA9DAHZTKqqVU84lKdZ6mf2bVClsnZywYDddtDJEp9QOgllI0KOxLSnEG8DNQDjjJDwPQqd+UorJSXKEU7wBrgKssvevAs82TmWZH74bznvFOswYT4MHDtDHSE7iV4sFsm4BJQDfvivPzBNtV2WuB0miSIgMDAwNPYE4CDQwiCScChKmXiLyYoxTlgZYw8UF49Mhkqv+2tURmF7dk3wYOCItoJVNod9NffoZrKgCloU4jKHtpULqK8I9SvIAmiBla8HOl2B+dKqEnMEDEq5OkgifzK7ZBh0bwTM1Yv13XVqmFC+D4xsB0tPtpLxG2xkrJ/T3ZXffOJdByslJcIcKn7jWNN0pqAoPRJ4Jzt8L6D4uJ+/ObwL1KkSVCrntGVT9PsDMvWwRRirnAScB697oYGBgYYIhhjBiJqqRCeOKcUPjiaWHrb8TLsVB8iDu0vnIAyDaQg62/HwJ5MmAdaoNsBilX4P8ngcy1EstX9bbOgoQ7o8W+3y6fCZKVwT2dDbIOZLhbgqfiNqac72PBJ9B9Nlw0G9rkwsKMyY7sCZOG7YbLG3o/NtLTz3qGbgi7vY0YMVJyxJwEGhhEFKnFbIUee2XgM5SiDBx3UnEh7rBwNjBfYnnRbgcWK8XjIiz4//buO06q6vzj+OehiLiwWKnSRFQUuxFB/cWoqDH2hhGNRlGwxx4RNQj2jhqxJxGNxq6xI3aiRhMLVqRopIiIuLiCIjy/P85dZ2f3zrI7fXa+79frvnbZcufMzgyv+51zzvPkYwDuzAgzbhdONFvyA3w5By77AgYdCZwO/M09s/1V9Wee+lUkZmsh7LiIe9yW/OhOVRr36UUztiHsgdvcjOHupDnjn9N2C3kR/v4Hbww3dU7ch/MJs5o9aep+vviCSeO+h62uMmM3z2BpfeLcU6+BvnvB7Pmw4L0mnOJdiO9RKiKSDoVAkZJW+hdyEs+MrsAw4GhYo02Jhf09gH/W/MOdBWaMAa4yY9dMw1djhIAwZH24uVZAGLkYHt3Z/ZLJ2Tl/3SW6Ry5NfoxakO3HzZ3Por2MtwMvmp1yIrx+YlOXQDaPCrj9x8LVnZOXw48mLGs9n3TeKKn75psZLYFHgXFmHJf5c7dvfxhvULEWVO8DIzZu5LLud4hZ2iwiki6FQJES1jwu5KSGGS2AHYFjo4/3AHvA+G9hTt09gQUP+zF7sMZD/xGww/7wzkSzl3vVei6OB44jVOF8PPej6z8WrqkTEC5qC4OPAzIOgeH8tWf9KoD1WieHviOAc4ExZPNxc+d7M34Lky8BewWebZXOXtHSr4CbqthKTSeczN8ocWdZ+FvzL+B44Pr0zxb3nGnsbOXA72CXjczefwFmf6H/50UkUwqBIiWu9C/kxIw1CIlhOLAYuBE4wp1F4SeqSIT9rmvD+lvB7ue63zmzQEPGrHI7+M0TcGv7cDH7IXDhb+GmFlEg2QNG9KsJJO4sNeM0wmzgM5ksrWuc3FR6TATfzrvXP/8wYPhiuKlt+N6awIzPYMf/QrcO2XyTxh03O71bIgBCdlsalIJUy+FrZmCz80aJO1Vm7Am8asYn7jzT1HOY0RO2/lU6z8lo1vlxOLMlVPyy2AtDiUhpUAgUESkAMwzYhjDrtxdhydnhwGtxS85qh30z9gf+ZMZ97vyUt0FHwkXpgFoBEOAfJAIgpAgkTwInEe7zuNyOMvv7ZZOXgMb11lsTeP9pGFydn5n5XLY0KAVxy+GHLYIFU+DizWCT4dl6o8Sd6WYcBDxgxi/d+bAxv2dGD2AkcCAsngPVXZv+nMxkBlFEJJ5CoIhIHkWNwYcCI4iu5oBTahVRaYwHCUvThgM3ZH2QK9R/LAxon3wxu5wVBZIwe8VpwPNmTHBnQe7GmIv9srUvxo8g7DsbTfL5p52Sv9mZ8i4M1dByeDMuJjSSfy57t8fLZvwReMyMATWv2bjWFFC1DDgbGALcAqwPf28H36exrLvcw76I5IJCoIhIHpixCWEGbAjwPKFC5ST3nzcwNVoUpk4GnjPjniYGyCzo0hVakxxAGlcExZ33zbiPkKByVugiN/tli6233nlvwKiDYGzrYtormk8NLIe/DZhsxjnu/JC92+N2M/oB95uxK1R2rV8g6Mw9YAbQ+yZgA3e+Cr9dNT+952R5h30RyQ1zz3mRNhGRsmTGysCBhPDXnTAjcKs7Wbl4M+M6oKU7x2XjfI2/3UET4LahcDlwHYk9gZcSJiZrB5JH6u1bMmPN6Be2d+ejfI49XWH57tFvwzWb1L8YH3yX++S8Lsszow/wGvz5cJhwiApD1Wf20aswehn8+FN6zeNTnZeWhDYdc2DQKvDs0PrPib3ud3/uwExvK9xeZS84YgpcXLGi15aISGMpBIqIZJkZfQlLNQ8H3iQs+Xw82/v3zFidEKZ2ceedbJ674dut2Rt3eJ+wtW8TwszgtsCli2CV9+CrGQ1ddJtxKrCjO3vka9zpMqMCuAM+7gMXrw439CrkxbgZKwGvAHe5c22+breURD0EX4OrO+XisYqWdU+GY9vAjX3r/8R+z7s/uGOmtxPd1qow43P4/ZOw+loK+yKSDQqBIiJZYEZrYE/CrN+mwB3ATe5Mz/HtjgB+C+yQj/57idut7AWHPA7fVcD05bDWnBUFv+TfZyXgfeAEd57O9XjTFRX2eBh4DxgOlZ2j6qAFm3kz4xKgP7BnPh/zfInbY9fUv3GYrY6bocverK0ZveCUD2Hsyjm+nSOAvd3ZNxvnExEB7QkUEcmIGd0JvQGGAdMIs34PZHMf0grcQigycyChRGdeRMU3xhP2PB3f9N/nRzNOJ7SM2LQQVU5XxIxBwP3AlcBVIXAVtiWLGYOj29+8lANgqqCXXIG16b0PE/JRTKUS2G0hnNs5uRfkMZ9leV/mEOCvWTyfiIhCoIhIU0VN3XchhK/tgbuBXd2Zku+xRM2sTwTuMuOf7nyfx5v/nPB3SNejhJYRRxN6IxaNaPblMkK/xicKPBwAzOgI/AX4XaLYSKHGkv5sXXzQO26Q2d0jYb9T4ayoBcdyQsGhkWm0Q8hHMZX+Y+GOzjCfxHiXAx/8N1uzw9H+2UHAAdk4n4hIDYVAEZFGMmMt4EjCfr+FhOByqDvfFXJcUen6ycBZhKqb+fI50CPdX46qnJ4KPGPG391ZmL2hpScq+nEZoXdjo/vB5Vr0xsNfgb+6Z6/tQXpjqR3i5gO3At32MxvwNHzYiBYZcX3v/twb/jQOWiwPhT1rt944H2jXu2mjjGsRcu4yOLXJjd5Tq5ltrCD5Zfd+h+zdBvsDT7pTncVziogoBIqINCRq6r4dYdZvd+Ah4GDg30W2HO8M4G0z7nBnZp5uM6MQCODOO2ZvPwfjJ5t9NTebVRwbKzGrtXYP6N4Hhs2AfgNy28ewKePq0hU6dAgZf/18hvwUakLcfEJ12NFARVuo3gdGbLzipZuplmpOmwJze8GzJAfE0cDgLk0ZYXyLkGMfgQOujWbXrs789ZuX1g1DCH9kEZGsUggUEYlhRgfgMEL4a0nY63eCO98UdGApuPM/M66BKX82O2ZBJkU1mmABsJIZle5UpXOCEHT2GxhV3OyX/h6w9MQvTTx2MTxcCVUFC4Hx4zrhM3igW7QvsUDjoi8M3CWM6QoSM3ZEH8c3YulmQ+Gp48owv3fyctAjCIWHmiauh6AZrxMK/WxqxnB3ljT1vAlxs43Z6dMYHv+tr4CB28MLc83eydoSUxERCP+7iohIxIwtzLgFmEnY73cCsKE71xZrAEwY+A+4bXCoivjAr8LHvSeGC8rsi2ZSPif0QExT/7GJlguQCBL9x2Y8wEbfft2liTfm8fZTiRvX9T0LNS4z1jDjWuBfsPCLEHiWEz+jt0H/aAY95jyVvWBxBRz3Ez+vcPw5PI2HOWvD2cBPhJXXpwPXAp/Py8b9cOdzwsx+G+BFM9IuFBNC2SM7w+C7YL/nw8fMW1Ak3gB4ZH8Y0wqe+m0uX8ciUp40EygiZc+MVQjLrkYAnYCbgX7uzC3owJrMzoWxrZo+M5ORmiWh76f36/mo4ljMt59K/seVWH7avjcs6gId58LXM+Hi6bDdcOBeoB/cVwE/ToRefeJn9Dr1Al4w4yx3Xks+f+29hJcAHy6G/z0NH14Je/8FxndP3gt4IqHyZlZa7gHgzvdm/JaQNt8wY3+o/DKdQjdxs42Zq/sGwHzC33qH18wGTVSPQBHJBoVAESkb9Ssa7nMHnLkn4SLuNeAC4Cl3lhV0oGkrSKDJcF9gqqWBSxdnNqxMb/+b+fm5/frM2BB6rpet/WaNqeSZCGgj+9QqzNIbqgfC2dUweW/3M6OCNFVfhf12fa6GGbvCTW2Tl0M+twtc/EvgPjPeBEZC5WLoPwnG904UUxkDVLeFwdXQf0T9mc/RhGWh5wPdsllspWYW+yIz3oPpj8Nvl8FVHTNrS5EttV/HrwKXApsAW3aCg4bCRQUcm4g0G+6uQ4cOHc3+gPa94NBP4TsH9/DxlJ/g9evAexZ6fNm5jwMnJO6f17qfAyfk7m961Ntwwsxw2+17ZedxGTYHps0HH1yY58VxC2HqNPD18vv4eUfwG8HnwUtj4LBpyeM69NOm/o3j7184D3gb8B7gA+CgF8L3/uRNeQ6F8wycAPtOqvscAG8Lfnp4LI//Fs6pc96aY99JsN+k+O+dl9PncBjnrx/N5+tmxeOpeR3PdPi9Jz92pzl8ULCx6dCho/kcmgkUkTIRt8dqTEs4vB/c/4MZ5l5U1T7TEFeo4oxvsty4Gqg9c3RtzW31TGf2JL6K45RRcEt34H4zTnXnrmyPf8W3f8Ng4BUzDnUni20F6jOjLfAH4DTgTmAD9+0XmP3mNvg0aVxNn/2Je96P7wO9PiLUBZgHzIXuvcL3Uu3zi59Nbmg5pDuLgSvMjvoF/POgMKvX0Oxm3PeWA2dVwanPmNHanaWNuttN0rZdMSwJTszYdlwH9qiGNhWwFeHvdgTQk8TsaKGXK4tIqVMIFJEykWqp5DpbEPazLTPjXUg6PvAVVA/MpGl2ttUPNAu/hps3gz8fQLhyzKJU4eKTq4F9mzpu6geJmWbsCDxhRhfgylyF9BS3f4sZHwP/MONiYFw2bj/5+TJ3Npz3Jux6CvAmsI07n65gXE2U6nn/yRvADu4sD+OaPAGqh4ZcmO22B6uvFc53BGFpZ+0egLWradZ9A2P4Ypj5ElzyJmx3LHCVGY8C9wHPufNjdl5/eWn10KD4arDnAkcDa5LYH9kTWJrXsYlIM1XoqUgdOnToyMfR0FJJcAPvCr4b+JngE8DfBV8M/gH4PeAjwfeIls9ZOGfqpXaFvr+J++3dwWeC/z675021fG//77N5/8HXBn8P/GrwFgX4+/WObv8W2LBveL7sV2/pY+POFfd8OXkJ/O3A3I1/t0cas9QxMbYPoiWH2XtOJ7/2ZkZLTs9xGDg9eflo6qWltZ7LfwB/FXwBvH0fDJud+ZLZR4fDH5YW8nWc+v+nP9X5/DuHnauK6f8YHTp0lOZR8AHo0KFDRz6OdAIb+Ergm4AfCn4Z+FPgs8EXgr8Ex35cTHuJGrgf64PPAd8ne+dMddE6Kuv3H3xV8BfB74VN18skiKV5++1hyjNw0veZBIX879n0SvhkKhwskga9AAAgAElEQVQzrzHjToSwwa+GgLbXq9n4G+fizRLwbnD4vxsTLldwnq7gX8Lt+zYUQHP/HGtoT2TN5+c4HFwF7bfL59h06NDRPA8tBxWRspBq71dDS8fc+ZHE0tCfmbEWsDH4+GLYS7Qi7nxsxh7Ak2Z8687zmZ91yigYvl9yZciaJWvvZ/X+u7PQjF1hygPwy7fhorb5rOLoziKzY+bBM20za79RszTzM+AvJJqht+ud7TGbrdkbDnspzHK/8WposdCtQ0PP+9y0O0jvtbficzLLbNGixN/zOmotM+0NIyau6HlhRgvgDmC8++8fgt8/lO54MpdqSWqLWp9PmgFTdlRVUBHJBoVAESkb2brIdecrYJLZO29Add9C7iVqLHfeMmMIcK/Z+CPhbwdnso8qXNhv9yJcslu4UG1BCIBrkov7784SsxEL4elaQSyf/dM6Z6H9xpzZ8CG1WjAQni8fbWxW2Ss7TcZrCotsvSUcsxL0A6q7hb13mTcyT1duAmZNcPoLib8nNCGgnwh0IPSqKLApo+C0XeHKNZP3BJ5Mrb2TagshIlmjECgikra4apyjfoQbW5uxijvfF3qEtbnzvNmjo+CTh+HZlpnPpt3UEq5fAFesHl/oI9s6dUlc6CfN/nQKRU1yOSuYjeIhU0bBSXvBw+2TA8ut7WFwE2YU64svLFK7mEhTZy1LQc3rr2efpgZ0MzYGRgED3fkpl6NsnKp5MN3h4CegdVuY9S38CMxscPZWRCRdCoEiImmKX+bW5kLY9BzgX2Yc4M7UQo8z2SX/lwiAkN6yRjBjH9ioO/xrIAw+L1vL/BpWO4j9hTRnf9IUF/ibFnjD82WfKVAxMPk72VhCHFettXaz9eJbppypxOuv/6SwBLRxAd2MlYG7gLO8VjXWAhsO67zi/th+hR6IiJQHhUARkQzELXMz4zBgOPCqGce680AhxhYvVcuAxgcEM9oTpuEOdX/7E/I2u1Q7iDWtn12mEoGj42T4Zh58NCW9wDtvOlQPzP4S4lSP6/Is3kbxiR6XHWFEnVnQkYuh+2Upfu0iYCphP2DBmbEKcCawa6HHIiLlQyFQRCTL3HFgvBlvEfrMbUuYdchBo+umykpPtAuAZ915MatDW4Hkmdc2O0N1p3ztx0zst1t5dZj1evoznlNGwR/3gUsqsruEtqHCItXAiKUwZXxmt1Gc6s/Ifzkbxi2BLe8249fu/K/mZ80YDBwEbBq9TovBscCr7skFqEREcinqdSUiIrlgxurA34DVgIPcmVXY8cTtHWt80RAztgCeAPq7Mz+3o21oHJndj3zfViJE9u0Hq20Ar06E7u1TLaFN/Hz73rCoC3ScG2YR48Nn/BhPBCqJnnrAUXe5T25GewIbZsapwClw7TC49zDo3gP6bgmbDHc/aEKhxwdgRgUwDdhFIVBE8kkzgSIiOeTOAjP2As4C3jTjMHcmFm48VTPNttodLv8Q3n2xKfv4zGgJ3EyY1SxYAITasz9z/warDAD/Br58Lze3FrffrvH7D1OEyI1ShcjEz4/sU6uSaO+wjDS++E2d2bDdYdPVwl7AnrV+qnntCVwRd64ye3IpfPZ4nUJIfzIb9kohC60kQv5mA2ClH+D2Kqgq1HBEpAwpBIqI5Jg7y4GLzXgdmGDGjcCF0dcL4M0fgS/c2bGJv3g8sIgws1kkunWHs1aCf3SCpftA5U5mlbu7V72SjbObsRJsvGVm+w9Thcg2D5txJyGZ1Dp2OjV8/wqaUvymZn+q2aAJcOfQUmhdkntjBmSjEFJjJIJdw61X4t8U+HqFfQ1FRLJJIVBEJE/cmWTGVsC9wCAzDnXn6wIMpSswpym/YMbahMZl2xXPXqr+Y+GsXnX67rWHYU+YVW6SyQV1VPzmaOAUaNcys32UqYq2rNwBWBtYJfpCdKy3daKoS3z4bDhwxFUyPfcn6PxwCIjp94csPZkXQmqMFLO924TZ2apZQCegWzj2+yPckPbMsohINigEiojkkTuzzdgRuBD4jxkHufN6nofRBUgZYJIDxvRvYSVgu22hag7c+0PxLFvr0hX+Qf3ZsvT77pmxFnASMAJ4HtgHbvka5sXsCWxsMZdURVv+86o7p9Qfw8sTQt/DmqIudX9vpa6w3wtwQ8+4Xo/xrUsOmwd+N9zZOvP+kKUkK4WQGiHVbG/PD4DWwFfALGA2rJqXYCoi0hCFQBGRPIuqhJ5pxmTgMTMuAG7I4wxbypnA5BmN+cC1wBii4LAWLCmiZWtzZkM/snFBbUYv4DRgKHAfMCjR47GK+qGqKbNoTe0xWPPzI/uEfX0/z3ICJ3wOK7dOBMCa+5s8k1S3dUmYAXy2dfnNPmXe37FxUs04LvwS+KU7n9d81eyNKORrua6IFI5CoIhIgbjzsBnvAfcD25pxjDuL8nDTDcwE1p7RuIJEAITiCw5TRkHFXmEJaHoX1GZsQujR9mvgFmAj9/oBOa4fZGPFz8ylDpHJP9+uNwzuAmvNga9mhPs8+HaoWCf5t1YUfPOzLLLYNPVvn76GWnTwthmfAo+EI1/BVEQkNYVAEZECcmeaGYMIzdffMLvqJLj/cOi4DszrDO3nwKIZ2bpwDTN9hw+BH380e69f/fN2XCdxIZvfhuxNFV3g7w7DnghLQGsuqE+e3dAFtRkGbE+o2Lo5YbrzeHe+zeVYaUKIbOjnzQalscQxX8sii08mAb7xUgW7R3aGcbOA/wP2Bh6Hqp/grUlw2HSw1jBnVnnszxSRYqIQKCJSYO4sBoaZTTwDvngyuZz9+b3hqEFwUcb7txJLPS+Jgl71BrX3hYXvD+ifCAup9qQVT3Bwr3rFrHKTsAewc1do3QIu7Aa31hujGS2APQnhryNwGbC/O0vyPOwMpSr8cmADVVsv/gTO+QEubKPZp+xrxIzjc8BzZpwMbApb7g0Pbgn0AD4HtjBjvjvfFeguiEiZUbN4EZEiEe3bitkrdAVwOjA4o2bfqc9/4GPwxAmw45VwwwGJapv19gSSq4bs2RJm+T54Dq5YFb5dGGbAvh0N729LWPa5GLgEeNCdZYUdbfoSxXtqAsd5b8BuZwO7u/Pf5J9lK+BJGHMAPHl0bpdFSlOY0QPYizBLOAB4CXgUeNSduYUcm4g0b5oJFBEpGqn2bdUsy8x0GWaq82+2E/AKDOocCq2cSAieywEHhgD2JXw9sfiDQ2VP2L8PXN+j1izZEPjwdeh3EvBc8bS4SF/cEkczvgCeMrv1GLj9wPB4L/gKbtkG1j3O/dwX4dwXCzJgiRUVjLkeuN6MVQl7U/cGLjXjY37eR8iHtZ+3je1JKCKSikKgiEjRaKi4RDWwMMOegqnO/8JD7hxqNimqWtiTUJWy5vtXAO98kMksZP70H5sIgBA+jmkFg2e6T55YyJHlmjsPmj3UAT54IHlJ8Znfwp3/Lp7WHhLHnYXA34G/m7ESsAMhED4NLDGrCYRdZ8Hez8T1JFQQFJHGalHoAYiISI0po8Jyy+ro39WEMHYQcMY3cPMvzNggu+evvS9syigYtij+9otnH2DDyrMKZsLlO8GYlskh+LIOIRxLqXDnR6j8BAZ1gP2nwl5T4fXWwHVw1AfxPQn1GItI42kmUESkSCQXl1irN3zVBdrNgaOi1gB//hXwohmHuPNcZuevvy8sUW1znydgQPvQ4/oo4KISKiBSvlUwg3IPwc1Dcr/On6vebgo/3AJLToSKNsm/ocdYRJpGIVBEpIisoJz9HWZMB+4141x3bsny+WtV26yOguLTJbbfqNx7sJV7CG4uavfrhPDx2q5w5iFQPQ2qV9djLCKZUAgUESkh7rxoxvbAP81YHzgr21Uu89NXLTfy1xy8WJV7CG4uUs3ozvkCJh4JyybqMRaRTCgEioiUGHemmjEQeAB40Iyh6i+WUMohNlMKwc1F6hldPcYikg3qEygiUqKiCoI3AlsAe7rzRYGHlJJK2os0XvyewHN+gIc3cp85rcDDE5FmQCFQRKSEhebonEFo7rePO28VeEj1xF/QFnfT+XKkoF5cEo9HzWzfbb1hwYtwRg89RiKSKYVAEZFmwIx9gZuBY9x5qNDjqc1s0AR4dmj9pW2D76rde1AhpHAU1Iuf2Z+2h6rnEy1A9BiJSPq0J1BEpBlw5yEz/gc8bEZf4HJ3iuRdvm5rxxe5GDjYjKOAp6GyVUwIUQPsvImrRjm+T9h3Vp77K4vPM8Ph2ZZ6jEQkGxQCRUSaCXfeNGMb4DFgfTOODU2nC8eM1aD3hvFFLr6cBuwMXArHt4JRHXSBm1vR8uGuwIZAv+jjhrDjNuovWOwa7gGpmXQRaQqFQBGRZsSdL6IWEncDT5lxgDsLCjEWM7oCT8OQR2DEr+ovNXz0EHdmmtESZr0GFVsln0EhJF1mtAB68HPISwp9i4EPgQ8ID0ZXaIH6Cxa71BVDUyzn1Uy6iKTUotADEBGR7IraRewL/Bf4V7Q8NK/MWBd4BbgbtjwGHtkZBt8F+z0fPib2MYU+h59+HC5ca1MIWREzWpmxnhl7m3G2GXea8RZQBbwMnAysDbxGKCC0jjudgaOBtsARwN9hxtYhmNc8Buo9V3ymjIcDf4BRwGhCjq95jPpdHb+ct//Ygg1XRIqaCsOIiDRjZhwDXAAMcefFPN3m5sDjwPnu3NK43ym/wiRNWb4XtQPpS/1Zvb7AHMKsXs3xIfChO1Ux51kPOAf4DXA9cK073ySPR73nik3862PYInh8d+AL2PUDuK9t+OnPgL8Ay4GXvoS3ttHjKCJ1KQSKiDRzZuwM3A0TL4PzNsvlniEz/g+4HzjWnQea9rs1IWTrHeC7r+Af+zbXi9fUoXfmHvByW5L267Eh0JNwdV+zjLPm+Nid71d8e/QjhL9dgXHAOHe+zf49k1wIFXZvGwr/IIS7FsBBwFF3hZ/YaSj8EZgPXEeYKSyPN1NEJD0KgSIiZcDs8p1g9lMwtlU2Lw6TZ7NatYCL+8M6Q9x5Lv1zsjVhT2Pf4qlwml2p22ZctgxG1wS92oFvqjs/NP122IiwfnAn4Brg+rgZQiluZru+ChsPSg535wNfz4XO7WFERQh/bQlhsOF2LCIiKgwjIlIWHvo9PNsqm9U342ezTvoC7ptGZjnj38ASYHvgpUxOVGxqLbncHa4gbMnrGX23Apjysju/yvx22IQQ/n4JXEXoH7ko0/NKoSzqkgiARB9HA/uuBF+/BGv+Gk4EzkVVXkWkMVQYRkSkLDRcXj49cb3lxq2daTGKaPbvduDITM5TbBKh+dmh8OBqcDph9uaz6CeqgTmzMrsNNjPjQeAZ4A1CIZhLFQBLXce58a/fth/BC8eFWf01gT6owJKINIZmAkVEykLq8vLpnzMXwfJnE4BPzKjM5/LF3PZaiwvNowkzgqeTSTVOM7YEzgN+AVwOHNqYvYJSKuZNh+qB9V+/X81wr5ppVrlzmNVvsQG8sgkMaA2tCfsGL1KVVxGpRyFQRKQsTBkFJ2wH1/dM3hOYycVhqmBZnXHBEXfmmTGJcBV7a6bna4zG9FqLmq2vAqwGrFrn4wo+36lLfGh+5xsY/EQ6gTPaP3kesDlwKXCwO4ubfOelyE0ZBSO2qV9IKLx+oyA4Knr+tq5TQfQIFYURkbpUGEZEpEyYPTYcnj8XZn6SjRYA8aHp9K/hjBawzvnADe4sT//87AGMdGdQuueoP97Us3xmv7wHnhhSP9SOng+XLSAR7H4CFgLfRMfCOh9TfL7DZfB4zPmbXrTDjG0IlUH6A5cAt7mzpCnnkNKyohYeDVUQVVEYEalLIVBEpEyYcQFg7pybvXPWvzCFqpX5efbukvPg0SPTWV5pRivgc2Andz7MfJz1itjMgiPugO17A1vCuevBmJi98oe/BX89lBDmFqYbtrLRC9GMbQnhb33gYuCOdKqGSmloWi/JVBVE353s/sy2+Ru1iJQCLQcVESkfmxG6SGdNdEFab5Yh9At8cRTMewaebZlqeWXD5+Yns38/DLfdb/bVl40JkdFyzfZAl+TjkKPgyrpFbLrBGQfB9pcCl8PzZ0L1IfVn6qZ+5M5Hjfl7NHx/au/dalpD9qj/4vnAOsBFwF/d+THTMUlxiAt74TsNL09OlqqC6OAuub8HIlJqFAJFRMrH5sAf8nFD7iw3O3u9RACEpralCBfG+/8Gru8BFRuGi+AT/8/svnPgwBbUC3o/Hw7MST5atonfjzd3lju3h9t79xwYMSDVvqtsSBWa40SBdgdC+OsOXAjc6c7SbI1H8sOscjvo/zfovCrMXQhTfude9Ur0vV71w94fdoKqhfULCTX0+uk4Fyp6J3+tAlhrTs7umIiULIVAEZEyYMaahBmyGfm71Uyrh/YfGwXAWr97XXc4/zI48DlCwPsMeA2YHf17Tlw7BLP/rgnVferP8iWqo2YyU5dNUfjbiRD+OgFjgbvd+Smf45DMhYC39njYexcYb1HIWw1GTDKr3BGqPoPf/K1+2LumMxzYLv710yXF6yd1BdHs3isRaQ4UAkVEysNmwDtRD748ybQtRaoQOf1D96Y2uG+4umKNpszUZVsU/nYhhL/VgTHAvQp/pSkxw/ddHxgPzCe0A1kO9GoNg54HvoFuFv88b1kN1e3qv37W3cSMHdx5Ifl3GvccFxEBNYsXESkXmwFv5/cmp4yCM6sSzaubelFaEyJrS6+3YQh3j+wMg++C/Z4PHxtfkCWXzDAzdgf+BVwFjAM2cucuBcBSVtMXsj0hAF5H6Ac5GvgjsGYLqNwaJj8d/zyf96/weqn7+tlhNHC7Gf80Y6Oa30h+jp/8BZz8TrE8x0Wk+Kg6qIhIGTDjLuBZ9/QLwzRUqTC+sEXV9zBjKhz9LFSu3tTlldmoplnMopm/PQl9/toAFwAPZNJWQ4qH2f6T4IFfwf7AhoTgV789SHitxD/Pw8/VbwthRhvgWGAk8ChwvjuzErfNL4Fr3Nk8H/dVREqPQqCISBkw431gqHt6s4ENBbLwE3W/N2wRtF4I7ZfAnbukG9pW1ButFJnRAtibEP6MEP4eVvhrXkLfvmeHhgn4awn9++ra73n3B3dM93luxqqEdHk0cCNwmTtVZrQk7JMd5M60rN0pEWk2FAJFRJo5M1YhrEdbNd22AokL2riZDIj/3hWE5W/NZ/YuE1H42w84F1hGWBf4mMJf85T8xslZwKXEvX6y0cjdjB6ENxN2IxQSuhnevgPG9YNvFza1R6eINH8qDCMi0vz1Bz5uagA0Y3Vgy3AM3CV1pU8j/nvLaWpbiOYompU5gBD+FgPnAI/nt0iPFMYn78Fv28HS1eB3wN9WykXRFnc+B44wY1PgUvj0NLhldbiuMp0enSLS/CkEiog0Y2E2Yp9xsEYns9cnpJoNSA58bAlsBawB/Bd4C+Z8AtVrxVf67NIpvgpoTe2xprSFaD6i8DcEGAVUAWcATyn8NX/xy6eHfw7b/Qd6d8jV0mZ33gF2M/vjRPhrr3R7dIpI86cQKCLSTCUuRG+suRAdGmYDDjsA7uxIcuhbA/gP8BbwECG4TK1Zqmj2z14wos5F7dGLYM1+0GMjOPJLuL1T4nvnAydGI0mvomepMqMV8FvC33A+8AdCUR6Fv7JRUxm0dgi7qQcMftn9wX1zf/veIrMenSLS3CkEiog0W3EXouP7wKVvAJMJge9BwvLEqQ3tTUtupL5Wb1i2NVzeHvptEULeMUtgu4ehR0f4fmMY1x56Uk69ysxoDQwl/D3nAMcBkxT+ylGqHpf5CmGZ9ugUkeZOIVBEpNlKdSH6/ivu7NjUs9U0Uo+KxAxKDpc394TBr7g/sm2YgTyqWVX0bEgU/n5HKNf/OXB0/UbeUl7qhrDPgFuBnzYMr59cvybUOF5EGqYQKCLSbKWaDZiT4WxAw7McNWExs9sofmasBBwBnA18CvzenZcKOigpErVD2HxCi4gxQEWnxLLs3BVpSZ65L483Y0SkaRQCRUSarVzNBpT3UrOoUfeRhP5sHxL6L04u7KikmCSHsDY7wz875btIS7m8GSMi6VEIFBFppnI3G1CeS83MWBkYRmj69i4wxJ3XCjsqKVaJ5dP7TwozgLWpSIuIFJZCoIhIM5aL2YByW2pmRlvgGOBMQjGd/dz5d2FHJaWjvGfORaQ4mbuKlomIiNRlRgUwnNDf7zVgjDv/KeyopNTE9ww84xuYsEVzfeNERIqfZgJFRERqMaMdcCxwGvAK8Gt33i7sqKRU1Z85r1oAN+8Af+5Q6LGJSPnSTKCIiAhgRnvgeOAU4AXCzN+Ugg5KmiUzhgFHA4PcWVbo8YhI+WlR6AGIiIgUkhkdzDgHmAZsAvzKnSEKgJJDtwNLCDPOIiJ5p5lAEREpS2asCpwMnAg8CVzozkeFHZWUCzM2AF4GNnfni0KPR0TKi2YCRUSkrJixuhkXEBq89wYGunOYAqDkU/R8ux64rtBjEZHyoxAoIiJlwYw1zLgQmAp0Awa4c4Q7Uws8NClflwAbmLFvoQciIuVFIVBERJo1M9Yy4xLgE2AtYCt3jnJnWoGHJmXOnR8IbUjGmVFZ6PGISPlQCBQRkWbJjE5mXA58DFQCW7hzjDszCjw0kZ+58xLwFHBRocciIuVDhWFERKRZMaMLocH7EcDdwKXu/K+ggxJpgBmrwfSP4JT/QKs2MGc2TBmVzWbyoWl9/7HQpWsuzi8ipUXN4kVEpFkwoxtwJnAYcCewsTuzCjsqkcao7AAHO9y9G1QA1cCIbcwqd85GUAsBcO+JML5PLs4vIqVHIVBEREqaGd2Bs4BDgL8AG7kzp6CDEmmS/mPhlE5wBbCcsFtnZB+YNhY4NDvnrwmAED6Oz+L5RaTUKASKiEhJMqMHcDYwBLgV6OfOl4UdlUg62veG24DRJGbqzgfa9c7O+bt0TQTAGhVA567ZOb+IlBoVhhERkZJiRm8zbgb+CywE1nfnTAVAKV2LuiQCINHH0cB3XbJz/rmzQ7CsrTr6uoiUI4VAEREpCWb0MeM24E1gHrCeO2e781WBhyaSoY5z42fq1srSsuaRk+GcHxJBsBoYMQ2mjMrO+UWk1Gg5qIiIFDUz+gLnAHsANwB93VlQ2FGJZNO86VA9MDkIVgNfZdzOxIyW8JsTYPFwGHMNzPoEpk1VdVCR8qYWESIiUpTM2IAQ/nYDrgPGubOwsKMSyb4U1TunwSMZV+8041BgBLA9MAUY4s6UTMcsIqVNy0FFRKRBZrZqf7N7zWzV+t+r7GU2aILZ/pPCx8pemd8eG5pxN/AS8BGwrjsXKABKcxWC3iM7w+C74KwqGPp0lgJga+BPwCh3HGgJ/JTxgEWk5Gk5qIiIpGRWsdvWrPLwPXzf5mBW2dusYh/36qfC97Lbe8yMjYFRwA7A1cBwdxZl7c6IFLHoNXOoGfcB97szMwun/R0w050Xon+3BJZl4bwiUuK0HFRERGKZVez2C1Z+4mkW2GrAN8CurO7/Zsnu7tVPmW07AZ4ZWn8f0+C73Cc3uveYGZsC5wHbAlcCN7rzXTbvi0gpCG+sDH0SrBW8/Xom+/bMaAN8Ahzszr/CuU98D2a8BzOna0+gSHnTTKCIiNRjZqtuzSoPPxUFQIDVgKdZYLvS4XGzr2fATr0z6T1mxhaE8DcAuBz4nXu9OvYiZSExs35Fzcz6upnMrAPDgClRANwOfvMEjGwHFQNDEZqMzi0iJU57AkVEpJ6N4KZ7+L7NanW+vhpwL9+26M4RHWH+p+n0HjPjF2Y8BjwGPA+s485VCoBS3vqPTSythvBxfJ/w9aYxoy0wEjgvhMsBT8Ct7bNxbhFpHhQCRUSknvdh+MGs8sM3db7+DTCEiqX/4+Lj4dCHQhGL2r3HRv0It3Q040ozRpixsxk9zWhpxgAzngAeAp4G+rhzrTuL83jXRIpUl66ZzKzXcSzwujtvhaA3oH0Wzy0izYCWg4qISD3uvtCsYp9dWT1uT+Be7v2j4jC7jYf/jIV114eeG0O/A2Gj1sC6wBbAEEKhl9r+TChOsb0ZnwKfu6tYhZS7ObPDGyl199i2bFLxBjPaAWcCg8NXOq4DrYk/d8Oz9iLSfKkwjIiIpBSqg1JTHfSHN+Dn6qD1f/aDSXBpO/juu3BBe9yjcOgxhEB4NfAy0APoG32t5mNHYCYwFfg0Omo+/9xdJe2l+YuvtnvybDh7GfR5DjjVnbqT8zHnYSTQ351DoqWg78K49nAbMJrEuYctgsc30Z5AkfKkECgiIg0ys1U3gpveh+HuHturL1xsHvgyjFs7cZE56ifY4xzY6Wp3lqY+P22BdUgOhjWfdwI+IzkY1nz8TAFRmpPwOuo/NizTnDsbpoyCqvnAJcC+wLHuPJr691mV8PrYzp2PzQZNgNuGhgB4FPAPYCnw+lJ4fUf3qldyf69EpBgpBIqISMbCxeazGbeLqH9eViYREGuHxL5AZ+BzkoNhzeefNRQ8RUqNGf9HSHP/Bk5yZ37Mz4wGerjz+/DvfSbDwwPD+yh/AZYTykG8/Jb7xK3yNngRKTraEygiIlmQ1aIWP3NnCfBBdCSJ+qD1JhEM+wF7Rp93NeN/1F9e+ikwQwFRSo07L0U9NccA75lxkjv31XzfjDWAE4Ba4W5e5/BmTE/g/Ohr1cDTq+dr3CJSnBQCRUQkC1IVtchd4Ql3fgA+io4kUUDsRWLWcD3gN9G/u5kxi/rLS2sC4o+5GrNIJtz5HjjNjPuB280YAhzvzpfAGcB97syAmqWlW7cL4a/2XsDzgXZzCnIHRKRoaDmoiIhkLL6oxYhp8EjRNaM2YyWSA2LtpaZrA7OJL1IzIwqeIgUXLZU+j7DZ7zLgHGATd75IvB579YFDCHsBa5aCHgQcldEybREpfQqBIiKSFXFFLYotAK6IGa1JBMS6exC7A3OI34M4I1q6KpJXZmwJvBn9c213ZiX26M4HriN5JrA435wRkfxSCBQREWmEKCDGtbhYl7Dpai71Z7bH3egAAAYTSURBVA+nAtMVECVXzFgb+BCYAOwP/BH2PxQe+FX4idpFYV76Et7aRgFQRBQCRUREMmRGK5IDYu2Q2AuYR/wexGnuLC7AkKWZMONGoMqds8zYBLgDTusCF3TJdrVeEWk+FAJFRERyKAqI3am/vHRdQnXTr4jfgzgtKgQiEsuM3oSloOu583X0tVZw2/Xw8nC4gVrLQJfCI+oNKCKAqoOKiIjkVNTQfkZ0PFv7e2a0pH5A3Db6vLcZX1N/eWlNQKzO132QonUucENNAITwfDO7rV1oKXgFiYIwI1vDtBGAQqCIKASKiIgUijvLgJnRMbH296KAuDbJy0sHRh/XMWMB8UVqprnzXX7ugRSKGesR+mL2rf/dLl1D28zz63w9s76dItJ8KASKiIgUoSggfhYdz9X+nhktgG4kLy8dEH3ex4yFxBepmebOonzdB8mpPwFXu7Ow/rfy37dTREqL9gSKiIg0I1FA7Ep8kZo+wCLi9yB+6k5VIcYsTWNGf8IbA33iZn1LqW+niBSGQqCIiEiZiAJiF+KL1KwLfEf8HsRP3fm2EGOW+sx4AJjszpWpf6b0+3aKSO4oBIqIiAhmGImAGBcSvyd+D+Kn8UsSJRei5vCPAn1VPVZE0qUQKCIiIg2KAmIn4mcP+wJLiN+D+Kk73xRizM2VGY8DT7pzfaHHIiKlSyFQRERE0hYFxI7E70HsCywlZnkpMNWdBYUYc6kyYyBwD6Ev4A+FHo+IlC6FQBEREcmJKCCuRfzy0r7AMuKL1EwFFriji5RazJgI3OPOrYUei4iUNoVAERERybsoIK5J/PLSvoCTokgNML/cAqIZOwC3Av3cWVrg4YhIiVMIFBERkaISBcQ1iF9e2hcwUhSpAb5qbgEx+nu8BNzszp2FHo+IlD6FQBERESkpZqxO6iI1rUhRpAaYV4oB0YxdgWuA/u4sK/R4RKT0KQSKiIhIsxEFxHWJn0VcifoBsebzL4sxIEazgG8Al7lzX6HHIyLNg0KgiIiIlAUzVgP6ED+LuAqp9yDOKVRANGMvYAywuTvLCzEGEWl+FAJFRESk7JmxKskBsXZIrACmEb8HcXauAqIZLYD/Aue682gubkNEypNCoIiIiEgDzOhACIhxrS7aEwJi3Czi7HRm78wqe0H/sbDRZrBaZxi/lXvVzGzcFxERUAgUERERSZsZ7ak/c1jzeQfqB8Saz2fFBUSzyu1gwBMwoD20Bg4CLpoGj+ysICgi2aIQKCIiIpIDZrQjfg9iX2BVYDpJwfCeRfDYzXBzRViBWg2cDxwFHHWX++RDC3A3RKQZalXoAYiIiIg0R+58B7wTHUnMqCA5IG4Fb+6ZCIAQPo4GrgA6d83PqEWkHCgEioiIiOSZO9XAu9EBgNmMSVDRKfknK4ClwNzZ+RyfiDRvLQo9ABEREREBmDM7LAGtrRp4fRFMGVWIEYlI86QQKCIiIlIUpoyCEdMSQbAaGLYIXt9dRWFEJJtUGEZERESkSCTaQ3TuGpaAThmlACgi2aYQKCIiIiIiUka0HFRERERERKSMKASKiIiIiIiUEYVAERERERGRMqIQKCIiIiIiUkYUAkVERERERMqIQqCIiIiIiEgZUQgUEREREREpIwqBIiIiIiIiZUQhUEREREREpIwoBIqIiIiIiJQRhUAREREREZEyohAoIiIiIiJSRhQCRUREREREyohCoIiIiIiISBlRCBQRERERESkjCoEiIiIiIiJlRCFQRERERESkjCgEioiIiIiIlBGFQBERERERkTKiECgiIiIiIlJGFAJFRERERETKiEKgiIiIiIhIGVEIFBERERERKSMKgSIiIiIiImVEIVBERERERKSMKASKiIiIiIiUEYVAERERERGRMqIQKCIiIiIiUkYUAkVERERERMqIQqCIiIiIiEgZUQgUEREREREpIwqBIiIiIiIiZUQhUEREREREpIwoBIqIiIiIiJQRhUAREREREZEyohAoIiIiIiJSRhQCRUREREREyohCoIiIiIiISBlRCBQRERERESkjCoEiIiIiIiJlRCFQRERERESkjCgEioiIiIiIlJH/BxkPUrc8Q0H6AAAAAElFTkSuQmCC\n", + "image/png": 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\n", "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "do(greedy_tsp, USA_big)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "These results are mediocore. Let's see if the **improvement strategy** can help:" - ] - }, - { - "cell_type": "code", - "execution_count": 45, - "metadata": {}, - "outputs": [], - "source": [ - "def improve_greedy_tsp(cities): return improve_tour(greedy_tsp(cities))" - ] - }, - { - "cell_type": "code", - "execution_count": 46, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "improve_greedy: 80 cities ⇒ tour length 14133 (in 0.016 sec)\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1404,38 +1199,11 @@ "do(improve_greedy_tsp, USA)" ] }, - { - "cell_type": "code", - "execution_count": 47, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "improve_greedy: 1089 cities ⇒ tour length 43844 (in 2.958 sec)\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "do(improve_greedy_tsp, USA_big)" - ] - }, { "cell_type": "markdown", "metadata": {}, "source": [ - "That's the best result yet on the big map! (But not on the smaller one.) \n", + "That's the best result yet, knocking off another 800 miles!\n", "What about a repetitive greedy algorithm? That might be a good idea, but there is no obvious way to do it, because the greedy algorithm as it stands doesn't have a parameter that can be varied on each repeated run.\n", "\n", "## Visualizing the Greedy Algorithm\n", @@ -1445,7 +1213,7 @@ }, { "cell_type": "code", - "execution_count": 48, + "execution_count": 39, "metadata": {}, "outputs": [], "source": [ @@ -1460,10 +1228,8 @@ " if len(new_segment) == len(cities):\n", " plot_tour(new_segment)\n", " plt.show()\n", - " print('Improving tour:')\n", - " tour = improve_tour(new_segment)\n", - " plot_tour(tour)\n", - " return tour\n", + " do(improve_greedy_tsp, cities)\n", + " return \n", " \n", "def plot_segments(endpoints, plot_sizes):\n", " \"If the number of distinct segments is one of plot_sizes, then plot segments.\"\n", @@ -1476,14 +1242,14 @@ }, { "cell_type": "code", - "execution_count": 49, + "execution_count": 40, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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\n", 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\n", 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fvjUvjXc0tWwqSvOTRfFO++T5MHJOGj+blcc+4vVynxl4T/DtwI8AHxU1WYX7HEI2R6b5HFx53N5EB0rOZPX1Jf5+hg4gDx9gLWNNa59FWuOq/jM74+VCc+K74E+D3xl1gp4wK0Qz0Irv+U7j4MipMGo5HDgwmeOGaQKrLmbfqNCB3a1j72t2z+WkthQ3Q6W/+aXoc/1rFWtx3Pi6/4TmN2HW0+koUZH11efKnV+vLQYOBhZ5q+ZOs/9uBMu+EHJYZbshobcAQ4hKatRYJoeU7gf8zb3yvKcV52bUdynyclK8+FE2Fqwx4yuwyfa1irXYb7N6L3jjpfScxFlK5qWUO7/mzHRnoa/QL9Y0Kiqp3XohnJ8sgzk/q32sJV0MnGZGt9ofqtRr/9nHcOrE2h+7c8waGs12Hgc/PB+O7h99fypzb17gPm24+117Rj/T8B1LmdCPNll9NCyM1T4H/CW4/du1iDXN70GWmgnjem/bDivd9SaY9Tj4eQHPwanghyX3frUeqn7TsOjc9x+BW+jPsxDjrnBkcxq/L3nYggdQ4cNvTNtciigu7wP+IPiUlqGytYg1zRfkNCeypM4v8N7gC8CPCBO/fwP8kXDvn38OfDr4reA9w3+WQ5rT+n3Jw5biPou2bbRpYcZewI3A1cC5XmgTrU2s6W3qKbbz9p0OS56H52anp4msY6r9zNx5xYyDgUlmPOfOk7EF1zF/Bn5rxg7uya8d4s4LZuwG/AH4lxmHuDM36TgiA0fD4F5p/b7kQaqTRZoU6vifAxwHfMudv9f+qOnuWIwSBi8AJ7rzROh4QnDnP2acBPy5cNF+OcFjf2TGpcDpwLCkjtsuhuVmHAeMAKaZTTgTfrNX8uvM9O0Hq5Hm70vmhX60ycIG3g/84ULTU5/kjluqqefU92DTTUK/J63emybwRIZwpnkD/zn4NCqs61CD436WaCZ6rGVmuhbL9YfC6R+Gmwsy06Ny5K2Pf2RzlppG07xZ9EZLOWbsC1wPXA6M8Q4MxYv3+C2jofr0gyWL4eo+sOXT7vwgyTjKMWMOcKA7c0LHEpIZqwC3Ae8A33FPbpVAM34HfODOmUkds3QcO4+DSSVWwxs63n1aTZuTizPsz944+hg+BB57Bx7b3735kVoeu16oGaqMQrPTecC3gCPdeThEHO3b1c1YG3jCjGnu3BEipnZWBz4IHURo7nxixjHAVOA04PcJHv5SYLoZ57mzNMHjthOuj01zJWpPyaIEMzYCbia6S9zOnVcDh/Qpd94043DgPjOeDnlHX6iH1Rvmjou3HlY2ubOs0OH9qBkz3flbQsf9P7Om6fDbyWbvLA23Jn25Pra11zJjFa9xTbc0DojJldDtYGnbwA8EXwJ+JimtbluI8wTw/4J3D3P87A+dreFns1vhHNosuc/iOy+G/ixKnxPHLIDZT4BPpEypcG3Z2Oq6z6LYH9C3H7zyMvxuKQzaBzjKnamh41sZMwy4AXDgWPfk2sij44drn84CM44HzgAGu/N2bY+Vns+ibR9b1BQEzYuA0UQrKR7lzj+TjEniUbfNUKVLTv/kXbhkF/cbnwocXkXuuBkjgMeA44E/JnFcM/oC+8JOe2tMe3nuXG3GNsDNZhzkNR0YkZ75OCtpCjrTjIeB280YSzRYJHVLDUh5Ka4NVWulCuGN6Q7zfhgyqs5w513gMGC0GV+qxTHM6GbGTmacZ8YTwExgP1gyNwu1uwI7nWgAwK9qe5hyda6WB+zsXpE7E4FBwL7A/Wb0DhySdEIdJ4u+G6TlbqwaHnVwjyS6Y1s7jn2asa4ZR5sxHlgCXEn0FHo60Nudb8JfjlqxuNyIeVGzg0A0aQ44AjjEjG/X7kilCv2d8RpctqsZ55vRvXbH7hx3XgT2AKYDM8zYI3BI0kF12WdhRk/4/kw4f6M0tPPGoTDWfhPg4M4+3hfmCGxPtLLY/sAWwGRgInBf4Qte4vdWbJ+u59FQ5ZixFTAF+Jo7j9bmGCX7Cj4ELgIGA6dAQ1Oxjy7UiKnWMbM3Ub/blcDo2jbVSbXqLlmY0Qj8BZ6aCRd/Ga4Y0GqpyHlwd9qXiizJjNWAh4B73RnTgf9/bWAoUXLYD3iDKDlMBB5x5/3aRVt/zDiI6KK4gzuLEj72UJh7FVzaG8b0SNP5bkY/YDzwCXA0NHwmTQlNiuoqWURrT3ALcAFwGTT0z9OdsRkbwPwZ8KP/AN1af9kKo6e2pvj0sC3wT4pPD/PDRV4fzDgL5gyD786E9dZP8mJotttNcP+wND5JF9bkOAfmj4ALPoJL+qUpoUlB6LG7SW3gIwpj34eEjqV2r7FXIxy3qO049+++BDNuBn8RfB74peD7gq8ZOt5626LP53vvhKmdlP6lUeHQSSoxnt4tl0Nn286fWPISjP0YtvsSsIsHK6GchIGji3dlEP38fR/43qZw/Z7Ac+7JzseQ1gaOhl/1DLMUbborGBd0y8Ogk7zKXbIoP3/inMHu9+Q4UUD58fZvN3udF/pLh5DzIZpGwRn7wEXrtm3iSdPotUwktLqVw6Gz5eZPvH5WyKiSkY11y+tXuM8navM/+VE48V9w6BQYOj59fQFNo+DURRqOnU45TBbpmc2avFLj7fVlS48wn49ZQ2NUEuSWofDaK/Dgd9ynDU9XomhJaEeNhbPmpzeh1a/cNUPV86OsyjSnW4jPp0Sz7MEwYqBZQ0ovwnv9D+x1jXdg+LckK3dDZ81OHww2Fc7rpuF3Uu/SVGSwI8z4M3CjO3eGjkXaytWTRTSX4He/gEcvhaG9dXddv9qOiKvnyV2Za5bdHDQYI41ykSyKF4atB8Fa68GEU9zn5Hzkk5RTekTciB3T2/RSS9lpli2sTvl5yPPw9uzKfAd38cIw6Wi4anM4Zx0YfH/091KfSo2Iu3Lj6O/rTTYGPUTf133vgJ867Hy1vr/pk4Mni3IXhiQmOkk6Za7ppWbadqoP2h3eexPuPjhNT1glngSPrt8nwfTKQbLQhUHay07TSxJaFiQyYzdgrPvVC8JG1J5u+LIg881QWZ+I1jIG3uywydFPPX5XLxtNLwFMA/qaMSB0IG3phi8LcvBk0TQKRuzYrjMzExeGznbEaoRPxxSbXpZfC43bwtT79F6BOx+bcTdwCNE6FymhJ8FMCF3JMI4tqua50zg4bAqcvRSuOyR0TB2Le6dxpatsHj4F/Evg/cBXLb7G4XNDVCzN6gZ+OPidoeNI01aoOPxI6DjaxnTvSPj++zq3073l4Mmi7SLxZhwPnARMCBlTx2ywYenH789tDVwN9APWMeM1OGmNaKSX2nU7oRfQHDqIlJkM3GxGH3deDh2MGQ1wwNnw+tEw9OuaG5VeuUgW7dwAnG3GLu5MDR1MOWZ8Fvp/ofTj97T73T9NfqsC68NLf4Ye67Tdi9p1K+gFvBM6iDRx5wMz7gMOBq4KHQ8wGrjf/dt3wLfvCB2MlJeDDu623PkAOB/4ZehYyjFjfeAhOPqBSh2x7nzkziKY+2yWO/IDaUBPFqXcBRwaOggzBgHfBM4MHYtUlrvaUPDpetTPAse488/Q8bRWGInyADAOOLejS7uW6QxXzauVMOPXwOvuXBg6ljQxoyewGOjvzpuBYugGPAaMdeeGEDFI5+SxGQp3PjRjNPALYK/A4XzKjG2I1rwe487l0d8W+1tWpjjCZ817YLXuMONfatetqAFYEDqItHFnqRlTgAOIblpi0cnReiOBpcCf4jq+1FYuk0XBjcBPzdjdnX+ECKDtl+eTD+Gi7WHA99y5tSv7ixIG/wL+7c4f4402l9TBXd4EoqaoWJJFZ4aBm9EPOAfY3V3L/GZFbpNF4eniPKK+iz2SPn7pL89pi+G2x6q8fvUGXo0jxjrQgDq4y7kHuMSM7u68W/3uVj4Lu+2N04YD4Ohb3HeYVf1xJSm56+BuZxywoRlfTf7Qpb48l/SLoZhdb+CVKvdRL/RkUVZDL/jhu3Dco/FUDig3C3urbc1GDioW+7xzD7igP1y2v6oVZEuuk4U7H0H0dBGtdZGkmpUwSDRZZLwciZ4sSig+9f6yD1y7dXQRP/jB6j7bcmV3ejbAulNXvHG6YkB9VgHOrlwni4KbgL4k3hRVs5pV65FQsmhb/v3OPeK5qCRKTxYl1aKEe7l6XNfuDs9MU+2n7Mt9sgj3dNE0Cs54Lc5idmZ8BvgMiV0As7kuRMvTEIzqD0MuyFByS0j8T71RJ/bdQ2D02zD8MRg6vjis+6VFmiOUfbnt4G7nZpj7CzhrkpmvkkwRvubn4bm34FszgFVjKmGwHvBqciNIslcNtMTAgsNgxLa1XBshewUea1O4rzBa7zngVHceL/5Ldot9SlGdJIuGDeHIHnDDXgkus/lV2PQDuGufOC7u0QXpq3+ALT9r9o9xyVyQslgNtNzTUMMDhYqr7xS2pRX+/G5HPreuLuEaNsHU9OLd/oSh7QJMqv2UVXWSLAaOht+tn3ARvpHAH+JLFCFWEsviHWG5p6GPAV4n6sdYF+hZ+HOvdn9u+e81zFhKMXmUSS5H7A2/L5GcXhgDDCsVYeg1wosX77X+Du+/D01PxnjxXiFZtBwTFbzMtDpJFsk2pxQmHQ0Bjotnj2FWEsvmHWG5p6Gnp3em7EehgGNPKiaVNXqVPre+8k0z9gMWEZXWWFz88/6Hh14ZrtBktAQ4M+aSOCWThWRfnSSLcheQJbVqTjkBuMU9ro7ocH0H2bsjjOdpqDAw4q3CVpbZk1+EZY0rnlsP3gznnkpUZn6Dws9+wBaw4ZYp6QvaBJgb8z6VLHKqTpJFqQvI2cvhqrXjm8EaKRQxPAHYJ659ZrPvIIzkn4bKJyd33gDeAJpa/4bZtM9GTYnhPs+oRD49IPY1LZQsciqXVWdLKXYotlxAPjgX/j0K2Ao42J0X4zkO3yAaDbJ7HPuL9qmKs2m24rm18uSUhs/TjO2B6935Ysz7vRB4051fxblfCa9OnixKN6eYcQzwY+AxMw5157EYDnUy8IcY9vOp4t1y42yYMx0WPp/+voP60dmmupT0BW0CPFeD/erJIqfqJlmUUhipdKEZs4B7zTjNnZu6uj8ztgS+QLS4TMyam4H3UaXOXEhBX1At+isgShYb1GC/EljuZ3B3hDt/IVr34nwzzjfr8vtyEnBNYbW+uG0KzFWikJjUMlnoySKHlCwK3Hka2AHYHbjTbOiWnSmgV1h97Gio2ToTtWo2kPq0KUoW0gl13QzVnjuvmjEE/vMn2GoGnL96JyZNDQcecmdhjcLbFCULiY+eLKRT9GTRjjvvw0kfFhMFVCqgVyhQOJKYO7bbqdWdoNSRqMjiV26Bn/WGXX5VgyKLy4gmL0rOKFmU1OlJcLsAawCTaxiUmqGkKsUhuxOPgPNWgb/VouS8nixySsmipE6vRXEyUR2oT+KOpFW57e1hz9NVblu6LpGS80oWOaU+i5JKzcr9wSulSkaY0QfYj2gkVKxKTN76BozYLqmCc5Iuna1Ua0Z3YBtg22jb7aAEyowoWeSUkkUJK06aWr4ULtsFrlq9xP9+HHC7+8prCHVNmAKCkj6VKtWa0ZsoKWzHp8mB/sAs4Klom/MoLNu7xmVGlCxySsmijPaTpswYCdxkxs4t8ygKlUlHAAfVJorsLT4ktVLuxmG9Rwrzgtbk06TAfcAYYHbrOT9mf78HRpQoMxJryXkli5xSsui4K4iam34J/KTwdwcCC915qjaHVAFBaVHuxuHtN4huVl6oNGEzmTIjm60LR/U0++/kbKwaKB2lZNFB7rgZxwFPmd38NIw9AHbZDxbPNrunsTZfiFJ9J6e9lO7FhyRu0dyfTbYpfeMw62l3nu/ovmpZZqTQVHY//Migxx5JL+oktVU3VWfjYnbHMTDtGjhv1SQqhrataNoNGNMfNtmiRiVFJEXM+DJwAdAfJl4CN5+e5srD0ai9SSVKrw8d7z5NfWwZpyeLTrt4KExaNalO5xJ9J38FTgEuivtYkg5mbA6MBnYmava83n3/D82O/Gu6Vy1UH1ueKVl0WvAvxA+AqWZooTCFAAAHIUlEQVSMc2dJQseUmJUaBgvNHwE/B74O/AY4pvXCXCmoVFuB+tjyTMmi08J+Idx51owbiO48j0/imBKv0sNgf3QAzAcGXAls5s6bQYPskniWtJV0Up9FJ6VklbO1YP4cOG06rL6mRp1kS/m2/a/f5T7psFBxxaGzqwZKdujJopPSscpZw1owDLhl/05UxZXUKNeU2WvtENHEKf1NZdJVShZdEP4LMXA0XLyeZnZnldr2JXtUSDCTgneyS1WaRkVNly3FKtW2L+mnJ4tM0p1plhWbMtd7BN5+HWb9V237knbq4M6gNHSyS/XMmADc6M5doWMRqURPFhmUjk52icFH6DsoGaETNaPCd7JLDJQsJDPUwS0SjpKFZIaShUg4HxFVhxRJPSULkXD0ZCGZoWQhEo6ShWSGTlSRcDKVLEpVytUIvPqRmRNVJIc+JuHvYFcv+GXm9qgeWR1RshAJJ9Eni+ou+ANHF38PVI+s/ihZiISTcDNUuQv+8mvNuAZYG1ir8LP1n9eCr26pemT1TclCJIDoLv/IA2C17mYztkqm/b9cAcrGbYGvAW8BbwKvAnMKfy783ZM/g2UHqx5Z/VKyECHZzttic9DvWpqDBiTT/l+uAOXU+9xX3pRkNu378P3B8Ps+WgWvPqmQoNS9lRVmhObniW6qViv8LLet7N/b/dtRp8HVu6540R463n1azdr/qy1AafbvP8KVX4Y33lQ9svqjJwuRsm35G88HjKhvoWX7sN1/t99W9u+Ff+uzWYj2/+oLUA7aBq75vjsP1zJOSSclC8m86puQyrXl//chYC93Yn38Nnt0HCwrsQZ37dv/u1qA0ow1ga2B6XHHJNmgZCGp0tkLfzzj/7uvWbot/6XFcSeKSNMoGLHjis1BqW7/HwTMdOfd0IFIGEoWkhodvfCb0R3oE237j6lm/L8Z/eGXm8EpC2HsRklcvDO6HsnOwNTQQUg4ShaSIuX6DtZ5yIzngb5ESWI14OVo23CTrrb/m7EKcB0M+DXccSvMTuzincH1SHYBxoUOQsJRspAUKdd38O5S4Bw+TRA0tzQPmU2rpv1/JNAd+K1788dk6+KdGDOM6MliZOhYJBxVnZUUaZkH0Noy4Jmn3HnYnWfdebttP0LTqKjJaFmr/79yE5IZmwI/B45x5+P4XkMubQosc+fF0IFIOJpnIanR1XkAxU7xgdtBz8/CNbuu/P+nG/BP4GZ3xsb7KvLHjP8H7O3OsNCxSDhKFpIqxQt/5/sOzOgBLAQGulO2GcqMHwP7AkPc+SSOuPPMjKuB/7hzWehYJBwlC8kVM/4IzHfnV2X+fSAwBfiyOwuSjC2rzJgJDHfnydCxSDhKFpIrZgwGbgQ2bz9HwozVgMeAy925NkR8WWPGOsDzwNrufBQ6HglHHdySN48TldXYtcS//RR4Cbgu0YiybSfgcSUKUbKQXCk8TVwHfKf135vxJeAk4PjazMrOrZ2BaaGDkPDUDCW5Y8b6wLPARu68Y8ZngCeA0e7cHDa6bCgONNj1APi/J+GB41I+w1xqTMlCcsmMCcC97lxrxq+BzwPf1FNFZdWWMpd8UrKQXDL783EwbQwsWQgbbQGLd3W/TqN5OsBs53EwqcSs+NqutyHppnIfkjvRnfHXfwJXrAc91ivcGd9W+5Xo8qJc2RWtt13P1MEtOTRwNFxRoiDhwNEho8qOcmVXtN52PVOykBzSnXF1StXbOmtpytfbkBpTM5TkUMudcfIr0eXBiuttvLYErt0Wxu6J5qjULXVwS+5oNE/8zNgSeBjYzZ3ZoeOR5ClZSC5VU5BQSjPjBKI1LXZ0Z3noeCRZShYi0iGFRZBuBxa5c1roeCRZShYi0mFmrA3MAE5x557Q8UhylCxEpFPM2AW4E/iSO4tCxyPJ0NBZEekUd6YClwM3FlYdlDqgZCEiXXEB0fXjrNCBSDLUDCUiXWLGhkTVfA9xVxnzvNOThYh0iTsvAicA481YK3Q8Ult6shCRqpgxFlgfOEIl4PNLyUJEqhItLvXcDDjvbVj2blRuRZMg80a1oUSkSg194LDucMUXWpVX2VEl4fNFfRYiUqWBo+Gyz6kkfL4pWYhIlVQSvh4oWYhIlbRYUj1QshCRKpVaLGnEPC2WlC8aDSUiVVNJ+PxTshARkYrUDCUiIhUpWYiISEVKFiIiUpGShYiIVKRkISIiFSlZiIhIRUoWIiJSkZKFiIhUpGQhIiIVKVmIiEhFShYiIlKRkoWIiFSkZCEiIhUpWYiISEVKFiIiUpGShYiIVKRkISIiFSlZiIhIRUoWIiJSkZKFiIhUpGQhIiIVKVmIiEhFShYiIlKRkoWIiFSkZCEiIhUpWYiISEVKFiIiUpGShYiIVKRkISIiFSlZiIhIRUoWIiJSkZKFiIhUpGQhIiIVKVmIiEhFShYiIlKRkoWIiFT0/wEn5guQ5nDMnQAAAABJRU5ErkJggg==\n", + "image/png": 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yS6oegLXAf54ptA24DFOGRyxYZKuNbbebGYcBf3UnzE7EGwmmarkxnwe7s8qMmcD3gStLWbD8rN82y+fbDuZ9Ef2acMSF3Q627u2U0cx6qZQN/Arws1v33L1vL+WxAz8LfHLYn1FDebK1m99xLMH68n8D7xnisWwDvgh89/yfM/1oOPuDsPuFwAcEyy6P+Cz98x3nwWy7hz2hPot122Jfs4hwPn2lWEUwQ2jezNgKGAXfHlbiY9eVYBBcJGQfjfzHRWb8CRgLPGXGdcBlwSyp5VvVz521ZtwEnAQ8m+vxqZrhRTBlM+iwf7kWk2peDnYD7oAeR8H80+HSoUELexuCsaJbAO8vhIePjcOszVGVgGARh47WRPuMYOnOnMzYAzgNOBiYDs8/AHWHlvDYdQUeK9JrFUW20cjufAFcZsbtwJVQ+xoMbwtXb1XOVf1gzIOw6eNmr2wPb7/V8gU1/A57M7YF/gac7M5cs9pFsKh3poG6MZq1OZrCrtqse/VTKXHhfv4+FvzqFv6+PvjR4E+CLwQfB75pOY4d+FPge4b9GbWu7MNml7t5tdDjEXb6NHiX1Dk1svn7iMaCW0naYl+zSK/ad+0GO/SDlUeoell6QTPE0O/DZl3Nnt4ifQAUXyNozhgNvAZcRtCBu6b++enHrt8BsPR1+OuIIh67bkSqg7sQ3qb8zauF1hTKW6tPH3D34TKYuhNsO9Wdmxs/TjWIEgk7WhV7A/8z+IlhlyPpW3D3dsyi9LvQYxbB9UPAfwe+HPwm8N55HrfTCh0U1nLZ9roNJq4NfsbvzjKMxI1CawqwVQ84bVU5avWZaz2nfBTHYxvXLfQCFP0N4YeDPxp2OZK+wR4zM1/MTl+ZWtOgoMWPwHcBfzX73/NbqCcpzZLB+xi6KFgz+zwPfg5dVMr3UWiAAj8dXnkK+pe8yUdZj+FvsW+GyuDvwG/NqHFP/trc4enUL3MzyX9XuHNpK17wRaCTGZ3cebfxHwobjxF+p2vxbASMp+E9n1Ti/WWaxfms5Y0HWjY0BdX0gJ67QvvvuD/xcIkLhrIew5e4YOHOF2bMILgwTAq7PMn1CZnbq/OdKSKdO2vMeBzYB/hz+l8LCQDxv6iYYbDXr2Fq9/T3PLU7DC5Z0Gue2vvJcpgwCGqvMhvWEf73MQzsA9O6NwraN5UiQyu9f+L9d6FrV2U9hitxwSJw6yx443dmrw0oR356ZfroSZg4FC6i4cIxMfX7VnsU+DbNgkUhAaCNx+2iYsZ6QG9gX4JguS/s2jGMoNe4czi4YN/xHNw9NP0YL0uVpTS1tsw1yTNXwnFvwR+7ae2acCQuWKROtCtgSnWYA4WSr3Ys1PSBS7sHg5/WAgsXB79vtUeBqc1/nS3r5u2Pg6nS6wetXboALusNp70N12wd1YuKGesDuxEEh32B/gQTYT5GMN/SmfDwxVCXYQr4cga9XpNg8mbptZuLgMnA+Y1+t24BrPm04j07NK9JTt4IBjwIgx/VoLqQhN1pUuxNHWHl/KyLm8+eWhhoBfhm6b/v3hPGrk7vtB7zJQx/N/13P/0cJu5djHLl26Gez+PBO4APBL8AfA74p+D/Av81+DDwTplfL9yO+uzZUecV7buV+X0e/2UwRUfT/UZn+vtK3EIvQNHfUNYT/LAnwi6btnyOnz8IfliT3w2DV59NDwAD55bqpqDwwWmZHj/yHXhmSmowYh34E+CXgg8B3yT/coQ3uCz7jdeEogWw3Pso7rHVtg7nQ9gFKPobynryDVqR70ld6F2ltmIeP59Ak8n/wOeCD0//XelGD7dwAVsF/jb4YvAF4K+AvxhMpJfp8SP/Db4/+EZhf66t+xwyBcFjFsEuM4tXm8x2HIetjHv6c9K2xPVZBG3TIw+Dm6sa2qzPB66pghNydsSVYdpsadmjBI3iAJixE7AtcHf6w0o5ejhbh/rrzxJMx90utbUNfi75LXTYrPnjP/jAnYfXvTzhyD7xYTG/B9mO41sPwOA69U9ESNjRqhQbHPAEXJBqW73AG9o/c991qs8j7GPnG6ba9KtS/78JfELzx5WuTb/wwWk6Z1r/WWc6jj96S7WI6G0JrFkAVH8OZ9K6u8745+nHmTufmfEc0N+MZ4CjgO2bP66Ud72ZBqe1lFFV6OOlXvPj2LEaxi11v2VR2GWTdIkLFmYMhMt2gtP+B9d0LfzLqynPI+BRgpTSnQgmH3wv04NKNWFcoYGoPM01yZU+toONgYVmbOvOG6EWTNJYUBVMBjP2IWjbHgbVbwa524V9eTP3WUz8Eob83H3QFaV9BwJgduex8NzV0G5jePFhmHuKLryVw4xfAJ3cOTnsskiDWAeL9ME8X34OV30LenzfndnFed36QHPYLTD+d8AV7lxbjLJLZqlpzx+CG3qk1wrvUYJBhTBjS4Jp7b/pzpKwyyOB2AaLzDWA05fAjP6luKiYUQPMBn7rziXFfn0JBCOyZ2UYuTz4Nvd5MZsIUFrLjGuAle6MD7ssEmgTdgFaL9Pkcr/eCnrNCQJJcXkwg+2+wAgzLgkme5PiU4KBAHAlcKIZHcMuiARiHCyyXVQGbAOHzy5RwHiHYKK7A4BrzOL8+UVVfYJBY0owqDSpm7P7gVEhF0VSYnyxy3ZRaUdQ4+hVkunJ3VkGDAD6EKybkbiMsnDNnxD0UdQf22SnoZpV15j1n2Y2bE7ws/g3OTF2OfBTMzYMuyCSuD6L84ExQHfgyIfd7x5Quv3TAZgJfASMcOeLUu2r0jRPMEhmGmqW2QLUmd+IGX8jSJ++MeyyVLrYBgv46qIyJ2h6agf8kCBQlKdDNHXHcwfBzo9yZ1Up9yfJos783FLp8LcC27uzJuzyVLIYN0PVD+aZPwAW1wYjtusDxbgPytFs4c5nwHcJahf3m1FV6n1KkmTrd9uxt5o3v/I4vPYRHD1XTXXhiv0J2Xz07Gefws/2htcuMxu2ZalXynNntRk/AH4DzDLjO+4sL8W+JGmyzRaweReCUcw3EaRqvx1K8SKhujsM3xpu7qyJPUMW9uRUxd6Cicl+8nG5pzcGN/Bfgf8bTt5dU5xry7XBA2fAT1dnOlfBdwG/AXw5+N3gB4C3qbTp8zVJY3S22Ncsmus1CS6rTh9/Ufx1gptyx804E566CtrPg1ntdCck2ZixLxwwHl78Dgz+YZbO/NFmnA0cA1wGCzaDYzvA5M0r59zSuJuoSGCwCO/kCgLG2C0aAkX9vksfrCQ+zNgWmAEc4z5uNozLOj2NO58AN5oxFcbdD7cfVFnnlib2jIpYd3BnFvagrqbBajHBWj6dh6hzrjKlj6UYMAMWPAhM9ALmMHPHoe0GlXeXXVnjbqIsgTWLTGsLjPwE5k8pz/4b3wktBq4FLgQ6bAp1xya/2UAayzyW4qyPYNosWFHgq1XeXbamf4+QsDtNSrFB1d4w+BM4N7VS3stlW8M3feWvC1ydc5W9FbODtpSrA2rTlmtLYM0CoNcomLlx+h1Yedp2m9wJDQlqFI0lvdlA0hWvD0132RKmhAaLcDMo6lf+Mtv7Nqg7ppKaDaSp4jYdlWp1QJFcEtjBDeF3cte7cjmcs1Kdc+UVrcn55k+AUxfrHJC4i/XcUNlk7lQ89U2469vlqrKbsT8wDX58KLx6hpoNyiOKk/OZPX0t3DoQ3l2qc0DiKpHBAprOXLpJRzjKYdKrQRNVaacAMWNz4AXgBHceLMU+JLOoTc6XmuPpTWCQOy+Xe/8ixZLQPov0tl2zmp5Q/RLM2q3UI19TK+jdBNypQBGGyI34HQIsVKCQuEton0VTXS6EizdoPvK1JAsknQjUAOeW4LUlp6j0V31lJHBzSPsWKZoKCRbluds0Y0fgYuBodz4v5mtLvuZPiEpSgRlbA3sTTO0hEmuJbYZKV/qRr2ZsAEwHznHntWK9rhRqxXaw4D046EnYsnPIHco/BGa4N6vqiMROhQSLTFOATPwSfrXEjDburC3CTi4BFgC/LcJrSQsakhe+SlaYEgzE3Gpr2HYX2Gu8+2OhLsNpRhvgBOB7YZZDpFgSmw3VVPN1nfteC1ddDSwFjncveKKeRq/NQcBUYBd3PixSkSWDLKmxq+Hn7WBHopAqG5STgQQzSO7qTmV8ySTRKiZYZJJqOroa2B84wp1XWvEanYB/EfRTPFLkIkoT2VNjJwPnN/p/uOtYm3EH8Jg714dVBpFiqpAO7szc+dyd0cDlwKNmHFnI81NpsrcCtyhQlEu2ZIW1Tf4f3vxbZmwBHATcHlYZRIqtQvosWubOLWa8CPzZjN0J1hpYk+mx6e3lVVVwznqw/YVlLXBFy5as0KbJ/0Odf2sEcK9rLXZJkIpuhmrKjC2BO4A1cNzZUHtm4xHfwaOaTSOyGO7aT9M3lEfmPotT1sL4NlHos0jVNucDo915tNz7FykVBYsmgukZnr0ebvsxTGqbvoDSv+fBMwdGZSqJSpWerLDsXTj3mzBzPXjv3bDnXjKjH/B7YHt1bEuSqBmqCXe+NDutA8xqmz7i++YqOGIQLCM9WGh9inJrOk13MBfXgfOAuyLQoTwSuFmBQpKmoju4s8vWibrHes1nbgi9fbziufMBQYfyuWYcHlY5zKgGjiSoWYgkimoWGWXrRG0HvLgK6tqnT3+ttQnC5s5CMw4D/m7GUneeKte+G5rFeu8O7VfALe0LX19bJNrUZ5FB8OU/+D9B01N9UDifYEDuD/8C69VpfYpoMuNggurfPu4sKP3+ord+hkgpKFhkYVa9N/S9H/pWBTWK7wG/1EUgBsw4CTgL6O/O+6XbT3UN9JoDs7ZR0oMknZqhsnBf8bhZ9U5Ql8q6eUC1iJhwZ6oZ3YG/mjHAnZXF3kdDjaL7NhFbP0OkJBQsWtA060ZiZQLQDbjdrMsZUPOL4q6S2GtS0PQ0mVLPaCwSBQoWkkjuuBkj4ZU5cMTzcHnH4q6SWJ8x90OC/qwLUdKDJJmChSSWO1+YjX4b7tur+SqJtZNYp1pjfcZcd2AMQQ1jNTBnIcxXv5YkjsZZSMJtvmVp+hTmTwhqEPUB40xgcS3MH6BAIUmkmoUkXGlWSXRfsciselBQQ1EatSSfUmcl0YKspeFPwtWdkzQOIsNqgQpUUlKqWUiiBTWAeX+AcYdEYaLBYsgyELAInfaF7F+BqtKoZiGJZ8bvCFatS8T66NlXCyz9QECNWK9c6uCWSrA98FrYhSiebBNdlmMgYP34kqbZZb0mlX7fEiYFC0m01GJEOwCvhl2W4ln5SXBH31i5BgKGGagkTAoWknRfA9a4syzsghSDGVvDdbvCGe81BIzyDAQ0ox1sull4gUrCpA5uSbrENEGZsRnwAPS8DqbfCS+WLG23eSf2cdNh9MVwxofwk0VwfY1GrFcWdXBLoqVmoO3rzglhl2VdmLERMBuYB5xVypX4MndiT1wDB50FB1wN1d0blrWNf3aZ5EfBQhLNjCuBJe5cEXZZWito/uEe4H3gR+6sLe3+wsu2kuhSM5QkTnBnvONV0Kkf+Caw5l9mj/8pjne/ZrQBbgHWACNLHSgC6sSW5hQsJFGCQHHoXJjavVETyp6wwVyz6v3iFDBSmVy/AmqAA91ZXdr91fdTbPANTbsuTSkbShKm16SGQAHBz4uAXt1jOBZgPDAQOKwUCzg11tBPMetY+F0nmEi5s60k2lSzkITJ1oTShjg1owRrcXAisLc7y0u/x8aD7ToApwOXAi+8Cx/MVie2qGYhCVM/y2xjdcBa4tKMYsYRwC8Imp7KVOamQbY7QY2s3cvu80YoUIiChSTM/Alw0uL0JpSJwPzFcWhGMWM/4EbgEHfeKN+eswXZLt3M2CEoW3WNWf9pZsPmBD+ra8pXPgmbUmclcYKL2MAZsGFvWPoxfPQk1I6N+t2xGX2AB4Dh7jxc3n1nGltxykI45V7oezS8/CL8age4ZmtNIFiZFCwkkcw4FDjZnUPKt8/WT91txrbAI8Cp7txdynJmL0N9+dMH25nRHr43D27dRWMvKpc6uCWpVgIblWtnha4xkR5YViyHKd+Cnuc2+ATPAAAEXUlEQVSHFSggWPuDjOuSV3eCA7fX2IvKpmAhSVXWYJF96u6FFwPHNn5k5sBy5gdw2yxYUb4i563XJNihvcZeVDZ1cEtSrQLal+KFM3f0duue+c57wNFmLDbjETN+b8aFcPj05oFl8ubRHQeyTU8YCZxPeuLAyavikDQgxaGahSRVQTWLfPsbMtcKzj4ENshy5z1nOvxiAsEo7BqgO2xRE4cmndQI8hOgRx/YAhgDTCZIQ14LvPSAOrcrh4KFJFXewaKw/oZMzU2Xd4TBf4dR2zVfbvQ/57qzCFjYsL+nvg51GSbqC7dJJz1gLv8Arq2Cb3aGTQ+FUTcE762+djGqFmrHhlleKS8FC0mqleTdDJWtv2GDv5jxGNAZ2Cr4ObAmS61gQ7hnENTmMXX3/Akwas/mgSW8Jp3MAfOsj2BeX/cXXjerzvO9SVIpWEhSrSLvZqhsU4S03wR4A3gMWAosgccugrrhmWoF2bOJ0gXpqFG7+GYKmFdsAoPPA0bk+94kuRQsJKk+A9Y3Yz131rT80PrRy00DwHOPu3NN40eaPT8eRu2+rrWC6F18NS25tEzBQhLJHTdjFbAhzeexaGLsAzBxOFzUNlcAiGatoBiyBUylxkpAI7glscxYBuzozvstPKYT8C+YPg6uPThZASB/WTr5NZ2HfEXBQhLLjDeBfdxZnOXvbYD7gOfdObeshYughmyo3faBVcthxlAFCqmnYCGJZcarwFB3Xk3/ff1Fcee+ULUJ/KWf++sLwill9JhxFHCcO4eHXRaJDvVZSJI1y4jK3Nyy5B/Z5nCqUE8D15lh7uhuUgBN9yHJlmFgXrYxFVGdaiMUb6V+dg21FBIpChaSZBkG5nXtphTRlqVqE08De4RdFokOBQtJsrRmKDM2hO47ZF4RTimiTShYSBoFC0myr5qhzGgLTIcf/DNICW08e2q4U21E058Ww5nHawlVqacObkmylUD71OypU4CNoPehcE+X5A2qK55UEsDFMKUTdOgUBNST9jar3k+fU+VS6qwkUnDBG/FAMJW2r4YzVsP2+7jzadhlizqzvjNhztDmo7kH/MX9qSPCKpeESzULSZyG9NgrGqXHnrIQZm4BKxQscurUL3MSwNf6hVEaiQb1WUgCZUqP/c02So/N1ydkTgJQnK1kChaSQJpBdd189CRMJD0JYGLq91Kp1AwlCaQZVNdN7Vio6QOXdg/uJ9cCCxdrZbzKpg5uSRzNoLruGubPUsaYBBQsJJF0sRMpLgULERHJSR3cIiKSk4KFiIjkpGAhIiI5KViIiEhOChYiIpKTgoWIiOSkYCEiIjkpWIiISE4KFiIikpOChYiI5KRgISIiOSlYiIhITgoWIiKSk4KFiIjkpGAhIiI5KViIiEhOChYiIpKTgoWIiOSkYCEiIjkpWIiISE4KFiIikpOChYiI5KRgISIiOSlYiIhITgoWIiKSk4KFiIjkpGAhIiI5KViIiEhOChYiIpLT/wN/UGxFBLJAdwAAAABJRU5ErkJggg==\n", 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\n", + "image/png": 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\n", 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\n", + "image/png": 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\n", 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\n", - "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1543,14 +1299,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "Improving tour:\n" + "improve_greedy: 100 cities ⇒ tour length 12464 (in 0.025 sec)\n" ] }, { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1558,7 +1314,7 @@ } ], "source": [ - "visualize_improve_greedy_tsp(USA, {40, 20, 10, 5, 2});" + "visualize_improve_greedy_tsp(sample(USA, 100), {40, 20, 10, 5});" ] }, { @@ -1567,7 +1323,7 @@ "source": [ "# Divide and Conquer Strategy\n", "\n", - "The next general strategy to consider is **divide and conquer**. Suppose we have an algorithm, like `alltours_tsp`, that we can't feasibly apply to a large set of cities, because it is inefficient. We could divide the problem into smaller pieces, and then combine those pieces:\n", + "The next general strategy to consider is **divide and conquer**. Suppose we have an algorithm, like `exhaustive_tsp`, that we can't feasibly apply to a large set of cities, because it is inefficient. We could divide the problem into smaller pieces, and then combine those pieces:\n", "\n", "1. Split the set of cities in half.\n", "2. Find a tour for each half.\n", @@ -1579,14 +1335,14 @@ }, { "cell_type": "code", - "execution_count": 50, + "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1611,14 +1367,14 @@ }, { "cell_type": "code", - "execution_count": 51, + "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1639,14 +1395,14 @@ }, { "cell_type": "code", - "execution_count": 52, + "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1661,21 +1417,21 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Now we have a feel for what we have to do. I'll call the divide and conquer algorithm `divide_tsp`. If the size of the set of cities is *n* or less, then find the shortest tour using `alltours_tsp`. If there are more than *n* cities, then split the cities in half (with `split_cities`), find a tour for each half (using `divide_tsp` recursively), and join the two tours together (with `join_tours`): " + "Now we have a feel for what we have to do. I'll call the divide and conquer algorithm `divide_tsp`. If the size of the set of cities is *n* or less, then find the shortest tour using `exhaustive_tsp`. If there are more than *n* cities, then split the cities in half (with `split_cities`), find a tour for each half (using `divide_tsp` recursively), and join the two tours together (with `join_tours`): " ] }, { "cell_type": "code", - "execution_count": 53, + "execution_count": 44, "metadata": {}, "outputs": [], "source": [ "def divide_tsp(cities, n=6):\n", - " \"\"\"Find a tour by divide and conquer: if number of cities is n or less, try all tours.\n", + " \"\"\"Find a tour by divide and conquer: if number of cities is n or less, use exhaustive search.\n", " Otherwise, split the cities in half, solve each half recursively, \n", " then join those two tours together.\"\"\"\n", " if len(cities) <= n:\n", - " return alltours_tsp(cities)\n", + " return exhaustive_tsp(cities)\n", " else:\n", " half1, half2 = split_cities(cities)\n", " return join_tours(divide_tsp(half1), divide_tsp(half2))\n", @@ -1692,7 +1448,7 @@ }, { "cell_type": "code", - "execution_count": 54, + "execution_count": 45, "metadata": {}, "outputs": [], "source": [ @@ -1720,7 +1476,7 @@ }, { "cell_type": "code", - "execution_count": 55, + "execution_count": 46, "metadata": {}, "outputs": [], "source": [ @@ -1747,7 +1503,7 @@ }, { "cell_type": "code", - "execution_count": 56, + "execution_count": 47, "metadata": {}, "outputs": [], "source": [ @@ -1758,12 +1514,12 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Let's divide and conquer! First the 6 cities, then the USA:" + "Let's divide and conquer! First the 6 cities, then 100 USA cities:" ] }, { "cell_type": "code", - "execution_count": 57, + "execution_count": 48, "metadata": {}, "outputs": [ { @@ -1777,7 +1533,7 @@ "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1790,21 +1546,21 @@ }, { "cell_type": "code", - "execution_count": 58, + "execution_count": 49, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "improve_divide: 80 cities ⇒ tour length 14210 (in 0.110 sec)\n" + "improve_divide: 100 cities ⇒ tour length 12994 (in 0.207 sec)\n" ] }, { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1812,14 +1568,14 @@ } ], "source": [ - "do(improve_divide_tsp, USA)" + "do(improve_divide_tsp, sample(USA, 100))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Divide and conquer performs adequately, but not exceptionally. \n", + "That's not as good as `improve_greedy_tsp`.\n", "\n", "# Shoulders of Giants: Minimum Spanning Tree Algorithm\n", "\n", @@ -1852,7 +1608,7 @@ "\n", "* A **pre-order traversal** means that you visit the root first, then do a pre-order traversal of each of the children.\n", "\n", - "* A **guarantee** means that, no matter what set of cities you consider, the tour found by the minimum spanning tree traversal algorithm will never be more than twice as long as the shortest possible tour. None of the other algorithms has any guarantee at all (except for `alltours_tsp`, which is guaranteed to find the optimal algorithm, if it has enough time to complete).\n", + "* A **guarantee** means that, no matter what set of cities you consider, the tour found by the minimum spanning tree traversal algorithm will never be more than twice as long as the shortest possible tour. None of the other algorithms has any guarantee at all (except for `exhaustive_tsp`, which is guaranteed to find the optimal algorithm, if it has enough time to complete).\n", "\n", "We will implement a directed graph as a dict of `{parent: [child, ...]}`. Now our plan is:\n", "\n", @@ -1872,7 +1628,7 @@ }, { "cell_type": "code", - "execution_count": 59, + "execution_count": 50, "metadata": {}, "outputs": [], "source": [ @@ -1893,26 +1649,26 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Let's see what a minimum spanning tree looks like. I'll plot trees in red so that we can tell a tree from a tour." + "Let's see what a minimum spanning tree looks like:" ] }, { "cell_type": "code", - "execution_count": 60, + "execution_count": 51, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "80 node Graph of total length: 11518.4\n" + "1089 node Graph of total length: 37868.3\n" ] }, { "data": { - "image/png": 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\n", 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1926,8 +1682,9 @@ " links = [(parent, child) for parent in graph for child in graph[parent]]\n", " total = sum(distance(p, c) for (p, c) in links)\n", " print('{} node Graph of total length: {:.1f}'.format(len(vertexes), total))\n", + " if len(graph) > 1000: plt.figure(figsize=(15, 7.5))\n", " for link in links:\n", - " plot_segment(link, 'rs-')\n", + " plot_segment(link, 'b.-')\n", "\n", " \n", "plot_graph(mst(USA))" @@ -1952,7 +1709,7 @@ }, { "cell_type": "code", - "execution_count": 61, + "execution_count": 52, "metadata": {}, "outputs": [], "source": [ @@ -1980,21 +1737,21 @@ }, { "cell_type": "code", - "execution_count": 62, + "execution_count": 53, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "mst: 80 cities ⇒ tour length 17924 (in 0.003 sec)\n" + "mst: 1089 cities ⇒ tour length 58059 (in 0.911 sec)\n" ] }, { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2005,66 +1762,11 @@ "do(mst_tsp, USA)" ] }, - { - "cell_type": "code", - "execution_count": 63, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "mst: 1089 cities ⇒ tour length 58059 (in 0.842 sec)\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "do(mst_tsp, USA_big)" - ] - }, - { - "cell_type": "code", - "execution_count": 64, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "improve_mst: 1089 cities ⇒ tour length 44810 (in 5.488 sec)\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "do(improve_mst_tsp, USA_big)" - ] - }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Overall, `mst_tsp` looks pretty bad. \n", - "Why would anyone want to use it, when the nearest neighbor algorithm is simpler to describe and implement, runs faster, and produces shorter tours? \n", + "That's 5,000 miles worse than `nn_tsp`. Why would anyone want to use the minimum spanning tree algorithm, when the nearest neighbor algorithm is simpler to describe and implement, runs faster, and produces shorter tours? \n", "\n", "# Guaranteed Tour Length!\n", "\n", @@ -2095,7 +1797,7 @@ "| [xkcd 399](http://xkcd.com/399/) |\n", "\n", "\n", - "Another algorithm that shows up with a literature search is the [Held-Karp Dynamic Programming Algorithm](http://en.wikipedia.org/wiki/Held%E2%80%93Karp_algorithm), named after giants [Michael Held](http://www.computerhistory.org/collections/catalog/102650390) and [Richard Karp](http://en.wikipedia.org/wiki/Richard_M._Karp). It is an algorithm for finding optimal tours, not approximate ones, so it is not appropriate for large *n*. But even in its simplest form, without any programming tricks, it can go quite a bit further than `alltours_tsp`. That is because `alltours_tsp` is O(*n*!), while the Held-Karp algorithm is only O(*n*2 2*n*). How did Held and Karp achieve this speedup? They noticed that `alltours_tsp` wastes a lot of time with permutations that can't possibly be optimal tours. Here's the key idea:\n", + "Another algorithm that shows up with a literature search is the [Held-Karp Dynamic Programming Algorithm](http://en.wikipedia.org/wiki/Held%E2%80%93Karp_algorithm), named after giants [Michael Held](http://www.computerhistory.org/collections/catalog/102650390) and [Richard Karp](http://en.wikipedia.org/wiki/Richard_M._Karp). It is an algorithm for finding optimal tours, not approximate ones, so it is not appropriate for large *n*. But even in its simplest form, without any programming tricks, it can go quite a bit further than `exhaustive_tsp`. That is because `exhaustive_tsp` is O(*n*!), while the Held-Karp algorithm is only O(*n*2 2*n*). How did Held and Karp achieve this speedup? They noticed that `exhaustive_tsp` wastes a lot of time with permutations that can't possibly be optimal tours. Here's the key idea:\n", "\n", "\n", ">*Given a start city A, an end city C, and a set of middle cities Bs, then out of all the possible segments that start in A, end in C, and go through all and only the cities in Bs, only the shortest of those segments could ever be part of an optimal tour.*\n", @@ -2104,14 +1806,14 @@ "\n", " [A, {B1, ... B10}, C, {D1, ... D10}, E]\n", " \n", - "That is, segments that start with A, then have have 10 Bi cities in some order, then C, then 10 Dj cities in some order, then E. With the All Tours algorithm, we have to consider all orderings of Bi and all orderings of Dj, so overall there would be (10!)2 ≈ 13 trillion orderings of this form. But with Held-Karp, we consider the Bi and Dj separately, and chose the best segment from each, giving us only 2 × 10! ≈ 7 million orderings to consider. (Actually it is even better than that, because we use Held-Karp recursively to split the Bi and Dj into pieces.) \n", + "That is, segments that start with A, then have have 10 Bi cities in some order, then C, then 10 Dj cities in some order, then E. With the Exhaustive Search algorithm, we have to consider all orderings of Bi and all orderings of Dj, so overall there would be (10!)2 ≈ 13 trillion orderings of this form. But with Held-Karp, we consider the Bi and Dj separately, and chose the best segment from each, giving us only 2 × 10! ≈ 7 million orderings to consider. (Actually it is even better than that, because we use Held-Karp recursively to split the Bi and Dj into pieces.) \n", "\n", "So far we have only been talking about segments. We know that the TSP is defined for tours, not segments. So even if we find the shortest possible segment, it might not be the shortest possible tour. But here's something we do know: a tour has to end somewhere. So just find the shortest segment from the start city, `A`, to each possible end city, `C`. Out of those segments, choose the one that is the shortest tour. That gives us our algorithm:" ] }, { "cell_type": "code", - "execution_count": 65, + "execution_count": 54, "metadata": {}, "outputs": [], "source": [ @@ -2138,7 +1840,7 @@ }, { "cell_type": "code", - "execution_count": 66, + "execution_count": 55, "metadata": {}, "outputs": [], "source": [ @@ -2148,8 +1850,7 @@ " if not Bs:\n", " return [A, C]\n", " else:\n", - " return min((shortest_segment(A, Bs - {B}, B) + [C] \n", - " for B in Bs),\n", + " return min((shortest_segment(A, Bs - {B}, B) + [C] for B in Bs),\n", " key=segment_length)\n", " \n", "def segment_length(segment):\n", @@ -2163,26 +1864,26 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "That's all there is to it. Let's compare `alltours_tsp` with `held_karp_tsp` on 10 city tours:" + "That's all there is to it. Let's compare `exhaustive_tsp` with `held_karp_tsp` on 10 city tours:" ] }, { "cell_type": "code", - "execution_count": 67, + "execution_count": 56, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "alltours: 10 cities ⇒ tour length 2720 (in 1.621 sec)\n" + "exhaustive: 10 cities ⇒ tour length 2720 (in 1.614 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2190,26 +1891,26 @@ } ], "source": [ - "do(alltours_tsp, Cities(10))" + "do(exhaustive_tsp, Cities(10))" ] }, { "cell_type": "code", - "execution_count": 68, + "execution_count": 57, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "held_karp: 10 cities ⇒ tour length 2720 (in 0.040 sec)\n" + "held_karp: 10 cities ⇒ tour length 2720 (in 0.034 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2224,26 +1925,26 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "We see that `held_karp_tsp` is optimal, and is a lot faster. We can take Held-Karp into uncharted territory beyond the reach of `alltours_tsp`:" + "We see that `held_karp_tsp` is a lot faster. We can extend into uncharted territory beyond the reach of `exhaustive_tsp`:" ] }, { "cell_type": "code", - "execution_count": 69, + "execution_count": 58, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "held_karp: 18 cities ⇒ tour length 2771 (in 44.195 sec)\n" + "held_karp: 18 cities ⇒ tour length 2771 (in 45.141 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2258,10 +1959,10 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Not bad! To see how much time we save using `held_karp_tsp` over `alltours_tsp`, we can extrapolate from the timings we've done, using the fact that Held-Karp is *O*(*n*2 2*n*) while `alltours` is *O*(*n*!), to get this table:\n", + "Not bad! To see how much time we save using `held_karp_tsp` over `exhaustive_tsp`, we can extrapolate from the timings we've done, using the fact that Held-Karp is *O*(*n*2 2*n*) while Exhaustive Search is *O*(*n*!), to get this table:\n", "\n", "\n", - "|*n*|`alltours_tsp`|`held_karp_tsp`|\n", + "|*n*|Exhaustive Search|Held Karp|\n", "|---|---|---|\n", "|10| 2 secs | 0.04 secs |\n", "|12|≈ 4 mins | 0.25 secs|\n", @@ -2271,18 +1972,18 @@ "|50|≈ 1050 years|≈ 45,000 years|\n", "\n", "\n", - "So if we had the patience to wait 3 hours, `held_karp_tsp` could give us an answer that saves 270 billion years of computing with `alltours_tsp`. The original Held-Karp algorithm had refinements that allowed it to handle 50-city sets in hours, not milleniums, and could do so even with 1970s-era computing power! See **Branch and Cut** below.\n", + "So if we had the patience to wait 3 hours, `held_karp_tsp` could give us an answer that saves 270 billion years of computing with `exhaustive_tsp`. The original Held-Karp algorithm had refinements that allowed it to handle 50-city sets in hours, not milleniums, and could do so even with 1970s-era computing power! See **Branch and Cut** below.\n", "\n", "We have one more trick to try:\n", "\n", "# Ensemble Strategy: `ensemble_tsp`\n", "\n", - "When we have several optimization algorithms and we're not sure which is best, we can always try them all and take the best tour:" + "When we have several optimization algorithms and we're not sure which is best, we can always try them all and take the best result:" ] }, { "cell_type": "code", - "execution_count": 70, + "execution_count": 59, "metadata": {}, "outputs": [], "source": [ @@ -2295,21 +1996,21 @@ }, { "cell_type": "code", - "execution_count": 71, + "execution_count": 60, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "ensemble: 80 cities ⇒ tour length 13674 (in 0.197 sec)\n" + "ensemble: 100 cities ⇒ tour length 12467 (in 0.337 sec)\n" ] }, { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2317,7 +2018,7 @@ } ], "source": [ - "do(ensemble_tsp, USA)" + "do(ensemble_tsp, set(sample(USA, 100)))" ] }, { @@ -2328,66 +2029,65 @@ "\n", "Here are the algorithms we developed, sorted by strategy:\n", "\n", - "- **Brute Force Strategy**: `alltours_tsp`\n", + "- **Brute Force Strategy**: `exhaustive_tsp`\n", "- **Greedy Strategy**: `nn_tsp`, `greedy_tsp`\n", "- **Divide and Conquer Strategy**: `divide_tsp`\n", "- **Ensemble Strategy**: `rep_nn_tsp`, `ensemble_tsp`\n", "- **Giant Shoulders Strategy**: `mst_tsp`, `held_karp_tsp`\n", - "- **Improvement Strategy**: `improve_nn_tsp`, `improve_greedy_tsp`, `improve_divide_tsp`, `rep_improve_nn_tsp`, `improve_mst_tsp`\n", + "- **Iterative Improvement Strategy**: `improve_nn_tsp`, `improve_greedy_tsp`, `improve_divide_tsp`, `rep_improve_nn_tsp`, `improve_mst_tsp`\n", "\n", "\n", - "# Comparison of Algorithms: Benchmark Experiments\n", + "# Benchmark Experiments on Algorithms\n", "\n", - "Which algorithm is best? I can't tell by trying them on only one or two problems. What I need to do is **benchmark** them on a standard **test suite** of problems. If the test suite is large enough, the results will have statistical significance. First we'll define `TestSuite`. It passes a different `seed` to `Cities` each time, so we get a collection of different city sets." + "Which algorithm is best? I can't tell by trying them on only one or two problems. What I need to do is **benchmark** each algorithm on a standard **test suite** of problems. If the test suite is large enough, the results will have statistical significance. First we'll define `TestSuite`. It passes a different `seed` to `sample` each time, so we get a different set of cities each time." ] }, { "cell_type": "code", - "execution_count": 72, + "execution_count": 61, "metadata": {}, "outputs": [], "source": [ - "def TestSuite(num_tests, num_cities):\n", - " \"Return a tuple of length num_tests, each element a different set of num_cities.\"\n", - " return tuple(Cities(num_cities, seed=(num_tests, num_cities, i))\n", - " for i in range(num_tests))" + "def TestSuite(n, k, cities=USA):\n", + " \"Return n different samples from cities, each consisting of k cities.\"\n", + " return tuple(frozenset(sample(cities, k, seed=(n, k, i)))\n", + " for i in range(n))" ] }, { "cell_type": "code", - "execution_count": 73, + "execution_count": 62, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "(frozenset({(365+79j), (54+67j), (543+93j), (747+328j), (964+336j)}),\n", - " frozenset({(222+23j), (476+122j), (578+299j), (644+573j), (706+558j)}),\n", - " frozenset({(250+427j), (319+62j), (612+206j), (703+504j), (794+204j)}),\n", - " frozenset({(133+534j), (305+351j), (585+648j), (663+401j), (753+137j)}),\n", - " frozenset({(101+89j), (107+517j), (28+152j), (35+149j), (629+137j)}),\n", - " frozenset({(312+209j), (381+645j), (489+448j), (737+451j), (990+36j)}))" + "(frozenset({(-3726.24+2437.08j), (-4401.6+2889.7200000000003j)}),\n", + " frozenset({(-3672+2492.9700000000003j), (-3684.96+2773.8j)}),\n", + " frozenset({(-5460.96+2934.57j), (-5628.96+2337.7200000000003j)}),\n", + " frozenset({(-4120.799999999999+2317.02j), (-5721.6+2359.8j)}))" ] }, - "execution_count": 73, + "execution_count": 62, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "TestSuite(6, 5)" + "# A tiny test of sets of 2 cities each:\n", + "TestSuite(4, 2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Next, `benchmark` takes as input a TSP function and a test suite, runs the function on each city set in the suite, and returns two values: the list of tour lengths that the function produced, and the average run time of the function. (Note that I *cache* the results, so that if you call benchmark a second time, and it has already done the computation, it just looks up the result rather than tediously re-running it.)" + "Next, the function `benchmark` takes as input a TSP function and a test suite, runs the function on each city set in the suite, and returns two values: the list of tour lengths that the function produced, and the average run time of the function. (Note that I *cache* the results, so that if you call benchmark a second time, and it has already done the computation, it just looks up the result rather than tediously re-running it.)" ] }, { "cell_type": "code", - "execution_count": 74, + "execution_count": 63, "metadata": {}, "outputs": [], "source": [ @@ -2404,14 +2104,14 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Comparison with Boxplots\n", + "# Boxplots\n", "\n", - "A **boxplot** is a standard statistical visualization tool that represents a data set with a box covering the first and third quartiles of the data; inside the box is a horizontal line indicating the median and a dot/marker indicating the mean. The 10% and 90% intervals are the \"whiskers\" coming out of the top and bottom of the box, and individual points outside that range are shown as dots. I'll define the function `boxplots`:" + "A **boxplot** is a standard statistical visualization tool. I'll plot them first, then explain them. " ] }, { "cell_type": "code", - "execution_count": 75, + "execution_count": 64, "metadata": {}, "outputs": [], "source": [ @@ -2422,8 +2122,9 @@ " labels = [boxplot_label(A, L, T, best) \n", " for (A, L, T) in zip(algorithms, lengthlists, times)]\n", " plt.figure(figsize=(15, 7.5))\n", + " plt.grid(axis='y')\n", " plt.tick_params(axis='x', which='major', labelsize=12)\n", - " plt.boxplot(lengthlists, labels=labels, showmeans=True, whis=(10, 90), sym='o')\n", + " plt.boxplot(lengthlists, labels=labels, showmeans=True, whis=(10, 90), sym='o', notch=True)\n", " plt.title(\"Comparison on {} sets of Cities({})\"\n", " .format(len(tests), len(tests[0])), fontsize=14)\n", "\n", @@ -2434,25 +2135,16 @@ "def unzip(sequences): return zip(*sequences)" ] }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Comparsion of Five Basic Algorithms\n", - "\n", - "Let's get boxplots for the 5 basic approximate algorithms:" - ] - }, { "cell_type": "code", - "execution_count": 76, + "execution_count": 65, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2460,29 +2152,32 @@ } ], "source": [ + "# boxplots for the 5 basic approximate algorithms:\n", "basic5 = [greedy_tsp, rep_nn_tsp, divide_tsp, nn_tsp, mst_tsp]\n", "\n", - "boxplots(basic5, TestSuite(40, 200))" + "boxplots(basic5, TestSuite(50, 200))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "The **label** at the bottom of each box plot consists of the name of the algorithm, the average run time in milliseconds, the mean and median tour length, and the ratio of the median tour length of this algorithm to the median tour length of the best algorithm (among all the algorithms in this boxplot).\n", + "Each column represents a data set (in this case, the 50 tour lengths for one algorithm) with a box covering the first to third quartiles of the data; inside the box is a horizontal line indicating the median and a marker indicating the mean. The 10% and 90% intervals are the \"whiskers\" coming out of the top and bottom of the box, and individual points outside that range are shown as dots. The \"notches\" in the sides of a boxes represent the 95% confidence interval on the median: if two boxes' notches do not overlap, that is strong evidence that the true medians of the algorithms differ. The **label** at the bottom of each column gives the name of the algorithm, the average run time in milliseconds, the mean and median tour length, and the ratio of the median tour length of this algorithm to the median tour length of the best algorithm in this boxplot.\n", "\n", - "This plot says that the greedy algorithm was best overall, but the repetitive nearest neighbor algorithm was within 1.5% in tour length (but not in run time). The minimum spanning tree algorithm produces by far the longest tours. Nearest neighbor if fastest, while divide and conquer is slowest.\n", + "This plot says that the first three algorithms all did about the same in tour length (although the greedy algorithm was much faster). The minimum spanning tree algorithm produces by far the longest tours. Nearest neighbor is fastest, while divide and conquer is slowest.\n", + "\n", + "# Compare Rankings\n", "\n", "I'd also like to know for how many different problems each algorithm was best, or second best, etc. I will define a function called `rankings` to do that. I'll also define `compare` to call both `boxplots` and `rankings`:" ] }, { "cell_type": "code", - "execution_count": 77, + "execution_count": 66, "metadata": {}, "outputs": [], "source": [ - "def compare(algorithms, tests=TestSuite(40, 200)):\n", + "def compare(algorithms, tests=TestSuite(50, 200)):\n", " \"Compare TSP algorithms on a test suite.\"\n", " boxplots(algorithms, tests)\n", " plt.show()\n", @@ -2502,39 +2197,6 @@ " print(fmt(*[ranks[i] for i in range(N)], name(alg)))" ] }, - { - "cell_type": "code", - "execution_count": 78, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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eS5IkSepoKaWmOVMR1TKvI1t3N0g2Undow7Hn5m0ztdNwbCIvm3zAbKN2cxWA0fwNDg4yODhYdhjSHnxvqpX5/lSr8r2pVuV7s1i7Sprsab773AUNI2rTNlA9Gfi3/P5NwKkRsV9E9JKVb/5aXknzsYg4Li+wcgZZaen6Y+obvb6BXSXEJUmSJEnzNOfIXV5uuB94VkQ8SFYZ87ci4ufJ9kTaAvwhQErpO3mJ4O8APwXOTruG2s5h960Q6vsHXQF8PCLuJdtT6dRiXpokSZIkdY45k7uU0u83ab5ylvM/AHygSfs3gF9u0v4k2fYJWmL9/f1lhyA15XtTrcz3p1qV7021Kt+bS2fOTcxbSUSkdopXkiRJkooUETMWVJnvmjtJkiRJUgszuZMkSZKkCjC5kyRJkqQKMLmTJEmSpAowuZMkSZKkCjC5kyRJkqQKMLmTJEmSpAowuZMkSZKkCjC5kyRJkqQKMLmTJEmSpAowuZMkSZKkCjC5kyRJkqQKMLmTJEmSpAowuZMkSZKkCjC5kyRJkqQKMLmTJEmSpAowuZMkSZKkCjC5kyRJkqQKMLmTJEmSpAowuZMkSZKkCjC5kyRJkqQKMLmTJEmSpAowuZMkSZKkCjC5kyRJkqQKMLmTJEmSpAowuZMkSZKkCjC5kyRJkqQKMLmTJEmSpAowuZMkSZKkCjC5kyRJkqQKMLmTJEmSpAowuZMkSZKkCjC5kyRJkqQKMLmTJEmSpAowuZMkSZKkCjC5kyRJkqQKMLmTJEmSpAowuZMkSZKkCjC5kyRJkqQKMLmTJEmSpAowuZMkSZKkCjC5kyRJkqQKMLmTJEmSpApYXnYAkiRJkqpnbGwLtdoGxsen6OlZxvDwWnp7V5UdVqVFSqnsGOYtIlI7xStJkiR1orGxLaxZcwmjo0NAFzBJX98AGzeea4K3QBFBSimaHXNapiRJkqRC1WobGhI7gC5GR4eo1TaUGFX1mdxJkiRJKtT4+BS7Eru6LiYmpsoIp2OY3EmSJEkqVE/PMmByWusk3d2mH4vJ3pUkSZJUqOHhtfT1DbArwcvW3A0Pry0tpk5gQRVJkiRJhatXy5yYmKK722qZRZmtoMqcyV1EXAH8NrA1pfT8vO0i4HeAJ4FR4A9SSj+MiFXAPcC/5Q/flFI6O3/MMcAGYAVwc0rp/Lx9P+Bq4Fjg+8DvpZQenCEWkztJkiRJHWuh1TKvBF45re0W4BdTSi8E7gUubDh2X0rpmPx2dkP7ZcC6lNJqYHVE1K+5Dng0pXQkcDFw0TxikiRJkiQ1mDO5SyndAWyb1vbFlFK91M0m4LkNh/fIIiPiEGD/lNLX86argZPz+ycBV+X3PwmcOO/oJUmSJElAMQVV3gT8Q8PXh0fENyPi1oh4ad7WAzzccM7DeVv92EMAKaWngO0RcVABcUmSJElSx1i+kAdHxB8DP00pXZc3TQCHpZS25WvsPhMRR+/tZWc7ODg4uPN+f38//f39e3l5SZIkSWoPIyMjjIyMzOvceVXLzAulfLZeUCVvWwu8BXh5SunJGR53K/B2sqTv1pTSUXn7qcAJKaU/iojPAwMppbsi4mnA91JKB89wPQuqSJIkSW2gXi1zfHyKnh6rZRZltoIq8x25CxpG1CLiVcA7geMbE7uIeDZZcZSpiHgecARwf0ppe0Q8FhHHAV8HzgD+Mn/YTcCZwF3AG4Av79WrkyRJktRSxsa2sGbNJYyODgFdwCSbNg2wceO5JniLaM41dxFxHfBVsgqXD0bEHwCXAM8ANubr6y7NTz8euDsivgncAPz3lNL2/Ng5wBXAZuDelNLn8/YrgGdHxL3A+cAFBb02SZIkSSWo1TY0JHYAXYyODlGrbSgxquqbc+QupfT7TZqvnOHcTwOfnuHYN4BfbtL+JHDKXHFIkiRJag/j41PsSuzqupiYmGp2ugpSRLVMSZIkSdqpp2cZMDmtdZLubtOPxWTvSpIkSSrU8PBa+voG2JXgTdLXN8Dw8NrSYuoE86qW2SqslilJkiS1h3q1zImJKbq7rZZZlNmqZZrcSZIkSVKbmC25c1qmJEmSJFWAyZ0kSZKkwt1++1fo7X09Bx54Br29r+f2279SdkiV57RMSZIkSYW6/favcOKJf8OOHR+lvon58uXn8KUvvYXjj/+1ssNra665kyRJkrRkentfzwMPXM3ue91NcvjhZzA29qmywqoE19xJkiRJWjLbtnXRbBPz7dunt6lIJneSJEmSCrVy5STNNjE/8MDpbSrS8rIDkCRJktQaIprO9ttHK4DLqa+5g7N44IFPF/YcLtfakyN3kiRJkoAsYSrqdtttZ3P44Wfw9KefweGHn8Ftt51d6PW1JwuqSJIkSVKbsKCKJEmSJFWcyZ0kSZIkVYDJnSRJkiRVgMmdJEmSJFWAyZ0kSZKkRTM4WHYEncNqmZIkSZIWTQT4Eb44VsuUJEmSpIozuZMkSZKkCjC5kyRJkqQKMLmTJEmSpAowuZMkSZK0aAYGyo6gc1gtU5IkSZLahNUyJUmSJKniTO4kSZIkqQJM7iRJkiSpAkzuJEmSJKkCTO4kSZIkLZrBwbIj6BxWy5QkSZK0aCLAj/DFsVqmJEmSJFWcyZ0kSZIkVYDJnSRJkiRVgMmdJEmSJFWAyZ0kSZKkRTMwUHYEncNqmZIkSZLUJqyWKUmSJEkVZ3InSZIkSRWwvOwAJEmStO/GxrZQq21gfHyKnp5lDA+vpbd3VdlhSSqBa+4kSZLa1NjYFtasuYTR0SGgC5ikr2+AjRvPNcGTKso1d5IkSRVUq21oSOwAuhgdHaJW21BiVNLuBgfLjqBzmNxJkiS1qfHxKXYldnVdTExMlRGO1NTQUNkRdA6TO0mSpDbV07MMmJzWOkl3tx/xpE7kT74kSVKbGh5eS1/fALsSvGzN3fDw2tJiklQeC6pIkiS1sXq1zImJKbq7rZap1hMBfoQvzmwFVUzuJEmSJC0ak7tizZbcuc+dJEmS1KYOOgi2bSs7irlF01SktaxcCY8+WnYUC+PInSRJktSmHBUrTrv0pfvcSZIkSVLFmdxJkiRJUgXMmdxFxBURsTUi7m5ouygi7omIb0XEpyLigIZjF0bEvfnxVzS0HxMRd0fE5oi4uKF9v4i4Pn/MnRFxWJEvUJIkSZI6wXxG7q4EXjmt7RbgF1NKLwTuBS4EiIijgVOAo4BXA5dG7Fw+eRmwLqW0GlgdEfVrrgMeTSkdCVwMXLSA1yNJkiRJHWnO5C6ldAewbVrbF1NKU/mXm4Dn5vdfA1yfUtqRUnqALPE7LiIOAfZPKX09P+9q4OT8/knAVfn9TwIn7uNrkSRJ6jhjY1s4/fQhfv3XBzj99CHGxraUHZKkkhSxFcKbgE/k93uAOxuOjedtO4CHG9ofztvrj3kIIKX0VERsj4iDUkptXohUkiRpcY2NbWHNmksYHR0CuoBJNm0aYOPGc93IXOpAC0ruIuKPgZ+mlD4x58l7cdnZDg4ODu6839/fT39/f4FPLUmS1D5qtQ0NiR1AF6OjQ9Rq67nmmoEyQ5NUkJGREUZGRuZ17j4ndxGxFvhN4OUNzePAoQ1fPzdvm6m98TETEfE04IDZRu0akztJkqRONj4+xa7Erq6LiYmpZqdLakPTB7SGhoZmPHe+WyEEDSNqEfEq4J3Aa1JKTzacdxNwal4Bsxc4AvhaSukR4LGIOC4vsHIGcGPDY87M778B+PI8Y5IkSepoPT3LgMlprZN0d7vbldSJIs2xDXtEXAf0A88CtgIDwHuA/YAf5KdtSimdnZ9/IVkFzJ8C56WUbsnbjwU2ACuAm1NK5+XtTwc+Drwov96peTGWZrGkueKVJEnqFM3W3PX1ueauk0SAH4+L0S59GRGklJouZZszuWslJneSJEm7GxvbQq22gYmJKbq7lzE8vNbEroO0S0LSDtqlL03uJEmSpApql4SkHbRLX86W3DkhW5IkSZIqwOROkiRJkirA5E6SJEmSKsDkTpIkSZIqwOROkiRJkipgedkBSJIkSdo3iYCmdRO1t1LDf9uVyZ0kSZLUpoLUFuX720FEu6d2TsuUJEmSpEowuZMkSZKkCjC5kyRJkqQKcM2dJEmSpEJ98KyzeGLz5j3aV6xezQWXX15CRJ3B5E6SJElSoZ7YvJnB227bo31w6UPpKCZ3klrG2NgWarUNjI9P0dOzjOHhtfT2rio7LElqaf7bKanO5E5SSxgb28KaNZcwOjoEdAGTbNo0wMaN5/ohRZJm4L+dkhpZUEVSS6jVNjR8OAHoYnR0iFptQ4lRSVJr899OSY1M7iS1hPHxKXZ9OKnrYmJiqoxwJKktjI4+TrN/O0dHJ8sIR1LJnJYpqSX09CwDJtn9Q8ok3d3+DUqSZvLII/fR7N/ORx4ZLSkiKbNi9eqmxVNWrF691KF0lEgplR3DvEVEaqd4Jc1fs3UjfX2uG5Gk2bz4xedz113LgV3/dsIAL37xDu688+Jyg9OSiAA/HhejXfoyIkgpRbNjjtxJagm9vavYuPFcarX1TExM0d29jOFhEztJms0RR6zkrrtOAdYDU2QrbtbR13dDuYFJKoUjd5IkSW3KWQ9ql9GmdtAufTnbyJ3JnSRJUhur73O3a9aD+9x1knZJSNpBu/SlyZ0kSZJUQe2SkLSDdulL19xJkiS1kIimn8takn9Yl9qHyZ0kSdISM2GStBjcQEqSJKkCBgfLjkBS2VxzJ0mSVAHtsl5IxfL7Xpx26cvZ1tw5cidJkiRJFWByJ0mSJEkVYHInSZIkSRVgcidJkiRJFWByJ0mSVAEDA2VHIKlsVsuUJEmS2lS7VHhsB+3Sl1bLlCRJkqSKM7mTJEmSpAowuZMkSZKkCjC5kyRJkqQKMLmTJEmqgMHBsiOQVDarZUqSJFVAu1T6U7H8vhenXfpytmqZy5c6GEmSJEnFiaYf87W3Vq4sO4KFM7mTJEmS2lR7jDS1R5xV4Jo7SZIkSaoAkztJkiRJqgCTO0mSpAoYGCg7Aklls1qmJEmSpEXjmrtizVYt05E7SZIkSYvGUeWl48idJEmSJLUJR+4kSZIkqeJM7iRJkiSpAkzuJEmSKmBwsOwIJJXNNXeSJEkVYEVCqTMsaM1dRFwREVsj4u6Gtt+NiH+JiKci4piG9lUR8XhEfDO/Xdpw7JiIuDsiNkfExQ3t+0XE9RFxb0TcGRGH7ftLlSRJktRKHFVeOvOZlnkl8Mppbd8GXgvc1uT8+1JKx+S3sxvaLwPWpZRWA6sjon7NdcCjKaUjgYuBi/bqFUiSJElqWUNDZUfQOeZM7lJKdwDbprV9N6V0L9BsOHCPtog4BNg/pfT1vOlq4OT8/knAVfn9TwInzi90SZIkSVLdYhRUOTyfknlrRLw0b+sBHm445+G8rX7sIYCU0lPA9og4aBHikiRJkqTKWl7w9SaAw1JK2/K1eJ+JiKP38hpNFwfWDTZM2u3v76e/v39vY5QkSaqcgYGyI5C0GEZGRhgZGZnXufOqlhkRq4DPppSeP639VuDtKaVvzvC4W4G3kyV9t6aUjsrbTwVOSCn9UUR8HhhIKd0VEU8DvpdSOniG61ktU5IkSWojVnIt1oKqZdavwcwjajvbI+LZEbEsv/884Ajg/pTSI8BjEXFcRARwBnBj/rCbgDPz+28AvjzPmCRJkiS1OEeVl86cI3cRcR3QDzwL2AoMkBVYuQR4NrAd+FZK6dUR8TrgvcBPgCngT1NKN+fXORbYAKwAbk4pnZe3Px34OPAi4AfAqSmlB2aIxZE7SZIkSR1rtpE7NzGXJEmSpDZRxLRMSZIkSVILM7mTJEmqgIaC4pI6lNMyJUmSKsCKhFJncFqmJEmSpFI4qrx0HLmTJEmqAEfu1Kp8bxbLkTtJkiRJqjiTO0mSJEmqgOVlByBJktTKDjoItm0rO4r5iaYTtVrLypXw6KNlRyFVk2vuJEmSZuF6oWLZn53H73mxXHMnSZIkqRQDA2VH0DkcuZMkSZqFow7Fsj+lhXHkTpIkSZIqzuROkiRJkirA5E6SJEnoL9vOAAAgAElEQVSSKsDkTpIkSZIqwOROkiRJ0qIZHCw7gs5htcwONDa2hVptA+PjU/T0LGN4eC29vavKDkuSpJZkdcdi2Z+dx+95sWarlmly12HGxrawZs0ljI4OAV3AJH19A2zceK4JniRJTfjBtFj2Z+fxe14st0LQTrXahobEDqCL0dEharUNJUYlSZKkVhARhd+g+Gtm19V0y8sOQEtrfHyKXYldXRcTE1NlhCNJkqQW4iy59ubIXYfp6VkGTE5rnaS727eCJEmS1M78RN9hhofX0tc3wK4EL1tzNzy8trSYJEmSJC2cBVU6UL1a5sTEFN3dVsuUJGk2FoMolv0pLYzVMiVJkvaRyUix7E9pYWZL7iyoIqlluAejJEnV4e/1pefInaSW4B6MklqVI03Fsj87g7/XF4/73Elqee7BKElSdfh7vRwmd5JagnswSpJUHf5eL4fJnaSWcMABj9NsD8b993+8jHAkSdICuLdyOexdSS0hYgdQo3EPRqjl7ZIkqZ24t3I5rJYpqSU89tgBwJuA9cAU2d+ezuOHP/zbUuOSJEl7r7d3FRs3nkuttr5hb2WLqSw2kztJLSGbvvFsYKCh1ekbkiS1q97eVVxzzcDcJ6owfmqS1BKcviFJkrQw7nMnqWXUNzvdNX3DzU4llc992Yplf0oLM9s+dyZ3kiRJszAZKZb9KS2Mm5hLkiRJUsVZUKUD1ae+jY9P0dPj1DdJkiSpCpyW2WHGxrawZs0ljI4OAV3Ui1Zs3GhpWkmSmnEaYbHsT2lhnJapnWq1DQ2JHUAXo6ND1GobSoxKkiRJ0kKZ3HWY8fEpdiV2dV1MTEyVEY4kSZKkgrjmrsNkG0VPsnuC50bRkiRJKpZ1Hpaea+46jGvuJEnaO628RuyDZ53FE5s379G+YvVqLrj88hIimlsr96eK42fOxTPbmjtH7jpMb+8qNm48l1ptfcNG0f6QSZLUjp7YvJnB227bo31w6UORdjNznYf1XHPNQJmhVZrJXQfq7V3lD5UkSZIWjXUeyuFCK0mSJEmF2lXnoZF1HhabvStJkiSpUMPDa+nrG2BXgpetuRseXltaTJ3AaZmSJEmSCmWdh3JYLVOSJGk20bQoXUv4IPBEk/YVwAVLHMte8fOctM9mq5ZpcidJkjQLS/cXy/6UFma25M41d5IkSZJUAXMmdxFxRURsjYi7G9p+NyL+JSKeiohjpp1/YUTcGxH3RMQrGtqPiYi7I2JzRFzc0L5fRFyfP+bOiDisqBcnSZIkSZ1iPiN3VwKvnNb2beC1wG67ZkbEUcApwFHAq4FLI3ZOVL8MWJdSWg2sjoj6NdcBj6aUjgQuBi7alxciSZIkSZ1szmqZKaU7ImLVtLbvAjQkbnUnAdenlHYAD0TEvcBxEbEF2D+l9PX8vKuBk4Ev5I+p76j9SeAj+/piND9jY1uo1TYwPj5FT88yhofXWrlIkiRJhfIz59IreiuEHuDOhq/H87YdwMMN7Q/n7fXHPASQUnoqIrZHxEEppUcLjk1kP2Rr1lzC6OgQ0AVMsmnTABs3WppWkiRJxfAzZzlacZ+7WesNDw4O7rzf399Pf3//IodTLbXahoYfMoAuRkeHqNXWc801A7M9VJIkSZoXP3MWZ2RkhJGRkXmdW3RyNw4c2vD1c/O2mdobHzMREU8DDpht1K4xudPeGx+fYtcPWV0XExNTZYQjSZKkCvIzZ3GmD2gNDQ3NeO58t0IIZh5Ra2y/CTg1r4DZCxwBfC2l9AjwWEQcl6/TOwO4seExZ+b33wB8eZ4xaR/09CwDJqe1TtLd7a4YkiRJKoafOcsx5ybmEXEd0A88C9hKVvxkG3AJ8GxgO/CtlNKr8/MvJKuA+VPgvJTSLXn7scAGYAVwc0rpvLz96cDHgRcBPwBOTSk9MEMsbmK+QM3mP/f1Of9ZkqSZuOl2sezPzuBnzsUz2ybmcyZ3rcTkrhj1ykUTE1N0d1u5SJKk2ZiMFMv+7Bx+5lwcJneSJEn7yGSkWPantDCzJXetWC1TkiRJUptzn7ul58idpJbhLwFJrciRpmLZn53BNXeLx2mZklqevwQktSqTkWLZn53h9NOHuPbad7D7dgiTnHaa+9wt1GzJnbVIJbWEmTc73VBiVJIkaV+4z105XHPXgZz6plbkLwFJkqpj1z53u4/cuc/d4jK56zDNpr5t2uTUN5XPXwKSJFXH8PBaNm0a2GO5xfDwuSVHVm2uueswzn9Wq3LNnaRW5RqxYtmfncN97haHWyFoJ6e+qVX19q5i48ZzqdXWN/wSMLGTJKld9faucvBgiZncdRinvqmV+UtAkiRp3zkts01ENB153UcnAddSn/oGpwE3Fnb1Tv0eSZKqyWmExbI/pYVxK4QKSCkVdrv//g9z2mnrgQFOO20999//4UKvL0mSJGnpOXLXwQYHs5skaW5uI9O5HGkqlv0pLcxsI3cmd5IkzcFqrp3NZKRY9qe0ME7LlCRpAWq1DQ2JHUAXo6ND1GobSoxKkqTdmdxJkjQHt5GRJLUDkztJkuawaxuZRm4jI0lqLa65k7QgxW7Tsbj890P7yjV3nc01YsWyP6WFsaCKmrJaplqV7021onq1zImJKbq7rZbZSUxGimV/Sgtjcqem/MdVrcr3pqRW4r9JxbI/pYWxWqYkSZIkVZzJnSRJkiRVgMmdJEmSJFWAyZ0kSZIkVcDysgNQeQYGyo5Aas73pqRW00a7vrS8lSvLjkCqLqtlSpI0D9df/yne/OZLeeKJg1ix4lE+9rGzOfXU15cdlrSTVSilzjBbtUxH7iRJmsP113+KN77xM8BNQBeTk5O88Y1/CGCCJ0lqGY7cSZI0h2c840QmJ7PEbpdJurpew49+9KWywpJ248id1Bnc506SpAV44omD2D2xA+jK2yVJag1Oy5QkVVYUVgXjOGCS6SN3Tz31YGHP4cwUSdJCOXLXwQYHy45Aas73poqSUirk9olPvAv4Q7IEj/z/f8gnPvGuwp5DWigrDUtyzV0Hc26+WpXvTbWierXMycmD6OqyWqYkqRyzrbkzuetgfoBWq/K9qVbm+1OSVCYLqkiSJElSxZncSZIkSVIFmNxJkrQXLFohSWpVJncdzA8oneegg7L1Qq1+g/JjmM/tILc460hWc1Wr8r0pyYIqUgexEESx7E9JrcR/k6TOYEEVSZIkSao4kztJkiRJqgCTO0mSJEmqAJM7SZL2gkUrJEmtyuSug/kBRZL23tBQ2RFIzVkFW5LVMjuYVbU6j9/zYtmfncnvuySpTFbLlCRJkqSKM7mTJEmSpAowuZMkSZKkClhedgCSJAEcdBBs21Z2FPMTTVc6tI6VK+HRR8uOQpK01Cyosgja6QNKO/BDSnEsBFEs+7NY9mdx7MvONDhoJWypE8xWUMXkbhH4S7VY9mdx7Mti2Z/Fsj+LY192Jr/vUmewWqYkSZIkVdycyV1EXBERWyPi7oa2lRFxS0R8NyK+EBHPzNtXRcTjEfHN/HZpw2OOiYi7I2JzRFzc0L5fRFwfEfdGxJ0RcVjRL1KSJEmSqm4+I3dXAq+c1nYB8MWU0s8DXwYubDh2X0rpmPx2dkP7ZcC6lNJqYHVE1K+5Dng0pXQkcDFw0b68EEmSJEnqZHMmdymlO4Dp5UFOAq7K718FnNxwbI/5nxFxCLB/SunredPVDY9pvNYngRPnFbkkSZIkaad9XXN3cEppK0BK6RHg4IZjh+dTMm+NiJfmbT3Aww3nPJy31Y89lF/rKWB7RBy0j3FJkiR1pIGBsiOQVLai9rmr12b6HnBYSmlbRBwDfCYijt7La826e9BgQ43f/v5++vv79/LykiRJ1eM2CFI1jYyMMDIyMq9z57UVQkSsAj6bUnp+/vU9QH9KaWs+5fLWlNJRTR53K/B2YKLxnIg4FTghpfRHEfF5YCCldFdEPA34Xkrp4OnXyh/nVggdyP4sjn1ZLPuzWPZncezL1hcx69+yW0o7fPaSOkkRWyEEu4+o3QSsze+fCdyYP9GzI2JZfv95wBHA/fnUzcci4rjI/jU7o/6Y/Fpn5vffQFagRZIkqbJSSm1zk9Q+5hy5i4jrgH7gWcBWYAD4DPC/gUOBLcApKaXtEfE64L3AT4Ap4E9TSjfn1zkW2ACsAG5OKZ2Xtz8d+DjwIuAHwKkppQdmiMWRuw5kfxbHviyW/VmwNhrJaAu+OSWpkmYbuZvXtMxWYXLXmezP4tiXxbI/i2V/Fse+lKTqKmJapiRJkiSphRVVLVOSpMr64Fln8cTmzXu0r1i9mgsuv7yEiCRJ2pPJnSRJc3hi82YGb7ttj/bBpQ9FkqQZmdxJagmOjEiSJC2MyZ2kluDIiCRJ0sJYUEWSJEmSKsDkTpIkSZIqwGmZkiTNYcXq1U2nCK9YvXqpQ5EkaUYmd5IkzcGiPpKkdmByJ6klODIiSZK0MJFSKjuGeYuI1A7xRkAbhNk27M/i2JfFsj+LZX8Wx76UpOqKCFJK0eyYBVUkSZIkqQJM7iRJkiSpAlxzJ3WQREDTQXzti9TwX0mSpLKZ3EkdJEiuwylQhKmdpPKNjW2hVtvA+PgUPT3LGB5eS2/vqrLDklQCC6osAheyF8v+LI59WSz7s1j2Z3Hsy84xNraFNWsuYXR0COgCJunrG2DjxnNN8KSKmq2gisndImjlX6ofPOssnti8eY/2FatXt+w+Tq3cn+3GviyW/Vks+7M49mXnOP30Ia699hTgBmCKrJzCKZx22g1cc81AucFJWhSzJXdOy+wwT2zezOBtt+3RPrj0oUiSpAW6775twBXArpE7GGB0dEepcUkqh8mdJKllhAV/CrFyZdkRaKls3foQcDVZYkf+/yEeeeSM8oKSVBqTO0lSS2iXaYROeVQrOeSQI3jgga5prV0cckhfKfFIKpfJnSRJUpvq6/s5Nm26h+lr7vr6pid8kjqByZ0kSVKbOuus3+Dv/u7P2bHjo9TX3C1ffg5nnfWWskOTVAKTuw6zYvXqpsVTVqxevdShSJKkBbr88i82JHYAXezY8VEuv3w9xx//a2WGJqkEJncdplW3O5AkSXtvfHyKXYldXRcTE1NlhCOpZMvKDkCSpHYy4NZhaiE9PcvItj9oNEl3tx/xpE7kJuaLwEpqxbI/i2NfFsv+lFS2sbEt9Pd/iAcffD/1NXeHHfYeRkbeRm/vqrLDk7QI3MRckiSpolL6MfBBsglZU/nXkjqRI3eLwL/mF8v+LI59WSz7U1LZTj99iGuvfQe7r7ub5LTT1nPNNc4hlqpotpE7J2RLkiS1KQuqSGpkcidJktSmLKgiqZE/+ZIk7YXBwbIjkHYZHl5LX98AuxK8Sfr6BhgeXltaTJLK45q7xRBNp8BqIdrh+94GXCNWLPuzM/l9V6sZG9tCrbaBiYkpuruXMTy81kqZUoXNtubO5G4R+Iu/WPZncezLYtmfncnvuySpTBZUkSRJkqSKM7mTJEmSpAowuZMkSZKkCjC5kyRpLwy4L7QkqUVZUGURuNi+WPZncezLYtmfrS/aqHpxO/x+kySVb7aCKsuXOhhJ5Wqjz7otb+XKsiPQXEyYJEmdxORO6iDt8jnXETFJkqS955o7SZIkSaoAkztJkubh9tu/Qm/v6znwwDPo7X09t9/+lbJDkiRpNxZUWQROKSuW/dl5/J6r1dx++1c48cS/YceOjwJdwCTLl5/Dl770Fo4//tfKDk+S1EFmK6hicrcI/GBaLPuz8/g9V6vp7X09DzxwNVliVzfJ4YefwdjYp8oKS5LUgWZL7pyWKanluI+YWs22bV3sntgBdLF9+/Q2SZLKY3InqeUMDpYdgbS7lSsngclprZMceOD0NkmSymNyJ0nSHK666m0sX34OuxK8bM3dVVe9rcywJEnajWvuFoHrhYplf0pqBbff/hXOPPNDbN/exYEHTnLVVW+zmIokaclZUGWJmYwUy/6UJEmSMrMld8uXOphOEU27W/ti5cqyI5AkSZJan2vuFkFK7XFrl1gffbTc76eWngVVJEmS9t6cyV1EXBERWyPi7oa2lRFxS0R8NyK+EBHPbDh2YUTcGxH3RMQrGtqPiYi7I2JzRFzc0L5fRFyfP+bOiDisyBcoqf0MDZUdgSRJUvuZz8jdlcArp7VdAHwxpfTzwJeBCwEi4mjgFOAo4NXApRE7JyheBqxLKa0GVkdE/ZrrgEdTSkcCFwMXLeD1SJIkSVJHmjO5SyndAWyb1nwScFV+/yrg5Pz+a4DrU0o7UkoPAPcCx0XEIcD+KaWv5+dd3fCYxmt9EjhxH16HJEmSJHW0fV1zd3BKaStASukR4OC8vQd4qOG88bytB3i4of3hvG23x6SUngK2R8RB+xiXJEmSJHWkoqplFlmoftY6k4MNlRb6+/vp7+8v8Kk7y8BA2RFIkiRJms3IyAgjIyPzOnde+9xFxCrgsyml5+df3wP0p5S25lMub00pHRURFwAppfTn+XmfBwaALfVz8vZTgRNSSn9UPyeldFdEPA34Xkrp4D2jaJ997iQtzOCgFTMlSZKamW2fu/lOywx2H1G7CVib3z8TuLGh/dS8AmYvcATwtXzq5mMRcVxeYOWMaY85M7//BrICLZI6mImdJEnS3ptz5C4irgP6gWcBW8lG4j4D/G/gULJRuVNSStvz8y8kq4D5U+C8lNItefuxwAZgBXBzSum8vP3pwMeBFwE/AE7Ni7E0i8WRO0mSJEkda7aRu3lNy2wVJneSJEmSOlkR0zIlSZIkSS3M5K6Dua5JkiRJqg6Tuw42NFR2BFJz/uFBkiRp77nmroNFgN2pVuR7U5IkqTnX3EmSJElSxS0vOwBJktrB2NgWarUNjI9P0dOzjOHhtfT2rio7LEmSdnJaZgdz6ptale9NtZqxsS2sWXMJo6NDQBcwSV/fABs3nmuCJ0laUk7LVFMDA2VHIEntoVbb0JDYAXQxOjpErbahxKgkSdqd0zLbRETT5HzBFqNipqOrWij/8KBWMz4+xa7Erq6LiYmpMsKRJKkpk7s2YcKkTuJWCGo1PT3LgEl2T/Am6e52AowkqXW45k5Sy7BghVqVa+4kSa1itjV3JneSFqTYKcMnAddS//AMpwE3FnZ1//3QQtT/+DAxMUV3t398kCSVw+ROUss7/fQhrr32HUyf9nbaaeu55hoX4UmSJIHVMiW1gdHRx2lWsGJ0dLKMcCRJktqOBVU6kOua1IoeeeQ+mhWseOSR0ZIikiRJai8mdx1mbGwL/f0f4sEH3099XdP//b/vYWTkbSZ4KtVznnMoDzwwAOwqWAEDHHLIoeUGJkmS1Cacltlhzj//Iw2JHUAXDz74fs4//yNlhiVxxBErgXXAemAg//86+vpWlhqXJElSu3DkrsNs2rSVZuua7rpraxnhSDsND69l06Y9S80PD59bcmSSJEntweSu4/yIZuuasnapPL29q9i48VxqtfUNpebdQ0ySJGm+3Aqhw5x88lu58cYAhtm1rqnGSSclPvOZ/6/c4CSphVmMSpLUCtznTjuNjW3hhBPex0MPPYdsyeUUhx66ldtu+2M/pEjSDMbGtrBmzZ7ThjdudHRZkrS0TO60m/pfn3dNffOvz2oNjoyoVZ1++hDXXvsOpk9pP+209VxzzUBZYUmSOtBsyZ1r7jpQb+8qP4yo5TQbGdm0yZERtYbx8SmaFaOamJgqIxxJkppyKwRJLaFW29CQ2AF0MTo6RK22ocSopExPzzKyNcqNJunu9teoJKl1+FtJUktwZEStbHh4LX19A+xK8OpbdawtLSZJkqZzWqaklrBrZGT3NU2OjKgVuFWHJKkdWFBFUkuwGqEkSdLcrJYpqS1YyVWSJGl2JneSJEmSVAGzJXcuZpEkSZKkCjC5kyRJkqQKMLmTJEmSpAowuZMkSZKkCjC5kyRJkqQKMLmTJEmSpAowuZMkSZKkCjC5kyRJkqQKWF52AJJUNza2hVptA+PjU/T0LGN4eC29vavKDkuSJKktREqp7BjmLSJSO8Uraf7GxrawZs0ljI4OAV3AJH19A2zceK4JniRJUi4iSClFs2NOy5TUEmq1DQ2JHUAXo6ND1GobSoxKkiSpfTgtswM59U2taHx8il2JXV0XExNTZYQjSZLUdkzuOkyzqW+bNjn1TeXr6VkGTLJ7gjdJd7cTDCRJkubDT00dxqlvalXDw2vp6xsgS/CgvuZueHhtaTFJkiS1E0fuOoxT39SqentXsXHjudRq65mYmKK7exnDw44oS5IkzZfJXYdx6ptaWW/vKq65ZqDsMCRJktqSn+g7jFPfJEmSpGpyn7sOVK+WuWvqm9UyJUmSpHYw2z53JneSJEmS1CbcxFySJEmSKs7kTpIkSZIqwOROkiRJkipgQcldRJwXEd/Ob/8zbxuIiIcj4pv57VUN518YEfdGxD0R8YqG9mMi4u6I2BwRFy8kJs1tbGwLp58+xAtfeCannz7E2NiWskOSdjMyMlJ2CNKMfH+qVfneVKvyvbl09jm5i4hfBNYBvwK8EPjtiOjLD38opXRMfvt8fv5RwCnAUcCrgUsjor4Q8DJgXUppNbA6Il65r3FpdmNjW1iz5hKuvfYd/PM/93Ltte9gzZpLTPDUUvwloFbm+1OtyvemWpXvzaWzkJG7o4C7UkpPppSeAm4HXpcfa1a95STg+pTSjpTSA8C9wHERcQiwf0rp6/l5VwMnLyAuzaJW28Do6BC7NjHvYnR0iFptQ4lRSZIkSVqohSR3/wK8LCJWRsTPAb8JPBdIwP+IiG9FxMci4pn5+T3AQw2PH8/beoCHG9ofztu0CMbHp9iV2NV1MTExVUY4kiRJkgqyoH3uIuIPgHOAHwH/CjwJfAD4fkopRcSfAYeklN4cEZcAd6aUrssf+zHgZmAL8IGU0ivy9pcC70opvabJ87nJnSRJkqSONtM+d8sXeNErgSsBIuJ9wEMppf/XcMrfAJ/N748DhzYce27eNlN7s+dr+iIkSZIkqdMttFrmf8r/fxjwWuC6fA1d3evIpm8C3AScGhH7RUQvcATwtZTSI8BjEXFcXmDlDODGhcQlSZIkSZ1mQSN3wKci4iDgp8DZKaUfRsRHIuKFwBTwAPDfAVJK34mIG4DvNJxfn2Z5DrABWAHcXK+wKUmSJEmanwWtuZMkSZIktYYFTctUZ4iIEyLiobnPlKT2EhFXRsR7I+KlEXHPPB9zc0T8txmOrYqIqYjw96skacktdFqmOodDvJIqK6V0B9n+rfM59zfnOmXhEUlSZ4iIW4GPp5T+tuxYqsC/LFZQxP/f3pmH2VWU+f/zzUIiZCEhbAkkGjYNS4IEzIDAzPAjAiJKUESUsAr8RqLCMOCCExaRZUQREHCAAGFfwyIQUAENouzEsG8hCUnIvpJV8s4fb930yeVu3fd2uvv2+3me+/Q5p5ZTp+/31qm36q0qdWzpMgTtm9BgEARBEATB+ieMuzaEpM9LelHSIkl3Sro9uRPtK2mapDMkzQTGpPgHS3pJ0gJJT0naOZPXlpLuljRb0ruSRmXCukq6QdJ8Sa8Au2fCTpd0d165LpP06+b/DwStGUmTkwYnAkslbS3pniIaGy3prqThxZKel7RLhff4T0kTk65vk7RBCsv9Dk6TNEvSdEnHNN8TB20RSbtKeiHVo7fjC3mt436edHxXXrrfSLo0HT8h6bh03EHSLyXNkfQO8OW8dD0kXStpRtLneWll6CBoEsXqwagDg5Yg6fH0pMclkq6RtFlyX18s6TFJPSV1kXSTpLlJt89I2lS+J/bewBUp/mUt/UxtnTDu2giSOgP34oZbb+A2fPuJHFsAGwP9gRMl7QpcB3w3xf8d8ICkzqlh8SDwErAlsB/wA0n7p7zOBj6TPl8Cjs7c52bgS5J6pHJ1BL4J3FjjRw7aJkcAB+KaGwe8SGGNARwC3AH0wvV8X4Ujft8AhuP6HAwckwnbAugO9AVOAH4rqWcVzxPUEakeHYfXV72Bu4DDMlFy7pS3AwdK2iil64Dr7pYC2Z4IHIRrcSjw9bzwG4FVwEBgV2B/XJtBUA3F6sGoA4OWYAT+nt8ef7c/DPwI6AN0BL6PtyV7AP3w+vdkYLmZnQVMAE4xsx5m9v31X/z6Ioy7tsMwoKOZXWFmH5vZOODZTPjHwGgzW21mK3Gj7moze96cm4CVKZ/dgT5mdn7K633gWrxhDv7S+LmZLTKz6cDaXpS0L+FfUhzwhvwcM3u5uR48aFP8xsxmALtQWmMAL5jZODP7GPgVPoIyrMJ7zDKzhXgnxZBM2CrgvHTPR4ClwA7VP1ZQJwwDOpnZZUkj9wDP5Ucys6l4x0SuA20/4CMz+0RcvC681MxmJE1ekAuQtDleR55qZivMbC5wKfCtmj5V0B4pVg9GHRi0BJeb2Vwzm4kbas+Y2T/MbBXeobYrrs1NgO1Tu/QlM1vagmWuW2JBlbZDX2B63rXsCpZzzGx15nwAMDLjCiegc8pnDdBP0vxMWAfcaMvd64NMXlPy7jsW73G5Dvg2cFOjnyaoV3K66U9pjUFGv2Zmkj7AtVeOWZnjZfjIYI55ZrYmL7xbhWUP6p9C9Wh+/ZbjNtwIuzn9vbVEntm6OJtff7zenZk8MZU+UxtV6iD4JMXqwagDg5Ygq8flBc674W3F/sDtaTT5FuAnqYM3qCFh3LUdZuJD2Vm2Bt5Jx/mrs00DzjezC/KuI2kY8J6ZFevNm5Hyzi0LPiAv/D7gSkk7AgcD/1XREwTtgZwOp1FaY+AaAyC5Cm+Fay8ImotC9Wh/GurRLHcBv5TUDx/BKzaqPJOMllm3vpwGrAA2sdhUNgiCdkwy4s4FzpXUH3gEeAO4nlhhuKaEW2bb4W/Ax5K+J6mjpK8Ce2TC8yfoXwOcLGkPAEkbSToozSF5FliSFg3omvLbUdLQlPYu4MeSNpa0FXBKNuPk9nkP3pP9jJllR/mCAMprDGA3SV9L8+LeT1kAACAASURBVOxOxRvBf2+R0gbthb8B/5Q0SlInSSMoUo8mF8o/4w2P98zszSJ53gl8X1I/Sb2AMzN5fAg8BvxaUnc5AyXtU+PnCoIcsVhP0CpJC/7slOYwLwVW41OKwEf6BrZY4eqMMO7aCMnlcgQ+QXoBcCTuZ78yFyUv/gv4vLsrkmvcW6SFUZLLxsG4j/5kYDZuDPZIyc/B3YYmA+NxN8x8bgR2LhIWtE/WarACjQHcjy/GswB37z20AveMxvbuRW9gsJZMPXosMA+fL3dPNkpeklvx+Xb5C6lk410DPApMBJ7Pyw9gJLAB8BowH+8826LJDxEEpeu1/LCoA4PmplLNbQHcDSwCXgWewN3eAX4DfEPSvNyqxEHTUXiKtF0k/R24yszW+0qVknJum1vEhNigsUgaDWxjZiNbuixBEARBEAT1QozctSEk7SNp8+TidjQ+cja+BcrRAfhP4PYw7IIgCIIgCIKgdRALqrQtdsDnd2wIvAccZmazSiepLZI2xH2jJ+NLfAdBzUgjwq+xrluH0vmgmN8ZBEEQBEFQnHDLDIIgCIIgCIIgqAPCLTMIgiAIgiAIgqAOCOMuCIIgCIIgCIKgDgjjrg2S9rp7TtIKSWPywgZIWiNpsaQl6e9PW6qsQf1TRo9fkPRYWt54lqQ7JG2RCe8p6YYU9mFaRTMImkQ1WkxxPi/pz6nunClpVCZsT0nPpDr1ZUl7ra/nCtonko6Q9JqkpZLeDs0FLYGkDSRdK+l9SYskvSjpgEx4Z0l3SZqc2p+xj2cLE8Zd22Q6cB5wXZFwA3qaWXcz62Fm56+/ogXtkFJ67AX8DhiQPkvxTaFzXAp8CugPfAE4Kq0EGwRNoclalLQJ8AhwVYq7Lb4BOWlz8geAi4CewP8AD0rq2VwPErRvJO0PXAAcbWbdgH3whdSCYH3TCd/7eG8z6wn8DLhTUv9MnAn4frUzW6B8QR5h3LVBzOw+M3sA3xC3EKLC71bSE5LOk/TX1Ft9v6Tekm5OPTTPZH/Akn6der0XSZooaVANHilow5TSo5mNN7N7zGypma0ArgD2zEQ5GLjYzFaa2RS8UX5coftkRqWPkTQ1jcCcJGlo0uJ8SZdn4m8j6UlJCyXNlnRbTR88aHVUqcXTgPFmdruZ/dPMPjKzN1PYnsCHZnavObcAc/AN0T+BpNGS7pR0UxrpmyhpO0k/SvXnFEn/LxP/GEnvprjvSvpWjf4lQdvlbOBcM3sOwMxmmlnBhrOkoyU9JelXkhZIekfSv6TrU5NXxMhM/IMkvZr0Nk3SaevnkYK2iJktM7NzzWxaOn8IXzF9t3S+2swuM7OngTXl8ot2Z/MTxl19YsD7qVIfk3qkS/FNvMelL95b/TTeyO4FvAGMBpA0HPgisG3qvTkcmNc8jxDUKfsCr+ZdU+a4A7BTmTz2wHX6TXzk7yfAv6d0h0vaO8U7D3jUzDYGtgIuL5BX0H7J1+IwYEFqcMxKDY6tS6QXpbV6MHAjsDHwMvBoStMX1+b/wtrtZX4DfMnMeuCG5MtNe6SgHpDvJTsU2Cy5Y06VdLmkLiWS7YHrpjdwG3B7ymMb4CjgiqQ1gGuB7ya97QQ83kyPEtQhkjYHtuOT7/LGEO3OZiSMu/pjLrA77na0G9AduKVMmuvN7H0zW4K7Jb1rZk+Y2RrgLmDXFG91ym+QJJnZm+t7n72g7SJpF9yd4/TM5fHAmZK6SdoWOBbfx7EYhvdmrzKzPwIfAbeZ2Twzm4G7hmT1OkBSvxT/6Vo/U9A2KaLFrYCRwChga+B9vJEM8DdgS0mHS+qUXIe3obRWJ5jZHzP1aB/gQjP7GG94f1pSjxT3Y2BnSV3NbJaZvV6TBw3aKpsDnYHDgL2AIXi9dlaJNJPNbKz5/lZ34Ho+J42q/AFYhTeiScc7SupuZovMLDoTgoqQ1Am4GbjBzN6qIqtodzYjYdzVGcmV6EUzW2Nmc4BTgOGSNiqRLPtDWV7gvFvK+wnclem3wCxJV0vqVtsnCOqRZLg9DIzKM7JGASuBt4FxwK1AuY3KZ2eOi+oV+C+8jntW0iRJxzb9CYJ6oYQWlwPjUv25CjgH2DM1gOcDX8ONwQ+B4cAfKK3VfF3OtYaNZZenv93MbBnei/3/gZmSHpS0Q3VPGbRxcvq4zMxmJ/39CjioRJp8vWFmc/Ou5erGw4AvA1OSi9yw2hQ7qGckCTfsVuLv7mqIdmczEsZd+8Co0XdtZleY2VBgELAD3oAOgqJIGoA3hM8xs1uzYWa20My+Y2ZbmtnOQEfg2VrcNzWKTjSzfsDJwJWSBtYi76BtUkqLwD/wujLL2nMzm2Bme5hZH3yE73PUTqt/MLPhwBbAm8A1tcg3aJuY2UI+2XGQr81q8n/BzL4GbArcD9xZq7yDuuY63ANhRPJAWC9Eu7PxhHHXBpHUUVJXvCHcSVIXSR1T2B6StpezCT6X44k09F3tfYem/DvhPSsrqGDybFDflNFjP+BPwOVm9okGq6SBaSJ1B0kHAt/F5yMVvV0jyvX1dH+AhbhWQ691TDVaxFfOPFTSLpI6426bT+XqTklDkktmD+ASYGpyd6u2zJtJOiTNh1qNr+K53hpOQavlemCUpE3lq7WeCjzYiPQF60r5svVHSuqRGuhLCL0FZZB0NfBZ4JDk2ZAfvkGqewG6lJkf2pj7RruzCYRx1zY5C1gGnIlPSF0G5PayG4jPY1qM90SvAI4skVdjegN74D3K8/GVkubiS4IH7ZtSejwe+AxwtjJ7L2bS7gZMwvV6PnCkmb1R4l5FR1YKnO8OPJPudx/wfTN7v+KnCtoiTdZicv/5Ce6y+SFel2brzjPwOm8KPifq0CrLmtNqB3ylzukp/31wF82gfXMe8DzwFr5wxQvALxqRvlTdeBQwWdJC4ERKtxGCdk5aufJEfO7nLDXsoZxd1fdNfA58X7wNukzrbpWQJdqdzYwapgAEQRAEQRAEQRAEbZUYuQuCIAiCIAiCIKgDwrgLgiAIgiAIgiCoA8K4C4IgCIIgCIIgqAPCuAuCIAiCIAiCIKgDwrgLWoy0eepxLV2OIMgntBm0VkKbQWsm9Bm0VtqTNsO4qwJJ35P0nKQVksYUCN9P0uuSlkr6U3ZZWEk/lPSupEWSPpB0iaQOmfABkh6X9JGk1yTtlwnbQtL9kqZLWlNiudmgnVKNNjNxOqc4U/OuF9VmCv+ppCmSFkq6VVK32j9h0FZpLm2m/cBuTfXiAkkTJO2Rl26UpPeSNp+VtFfzPGXQVimlz6S7uyRNTu/efQqkv0jSXElzJF2YFzZY0l+S/qZKOisvPPQZFKUabcr3obta0odJn/dL6psJf1zS7KS9lyQdkgn7sRq2P1gsaZmkf0rq3fxPHTSFMO6qYzq+F811+QHyDcTvwfdY6o3vUXNHJsr9wFAz6wnshO8f8v1M+G0pTW9876a7U57gGzg+AoygcfuFBO2HarSZ4wxgVoHrRbUp6Wh8f7F/wfe72RC4ospnCeqL5tJmN+BZYNeUdizwkHxzcJKhdwEwwsw2BsYA4yQV3Ow5aLcU1WdiAl7HzcwPkHQScAiwM7AL8BVJJ2ai3Ao8mfT3r8B/SDo4pf0Coc+gNE3WJvBD4At4e7MvsBC4PBP+A6Bf0t5JwM2SNgcwswvMrLuZ9TCzHsBFuI7n1+CZgmYgjLsqMLP7zOwBfHPFfEYAr5jZvWa2CjgbGCxp+5R2spktSHE74gbbtgApzq7A2Wa20szuxTckPyylnW1mV+MbnJat+FNPzumSJqbel2skbSbp4dQL85iknpn4wyT9NfV+vyRp30zYMWm0ZrGkd7IvLkn7Spom6TRJs1IP+jGV/j8lHZfynifpEa070rlG0kmS3pI0X1IYDCWoRpsAkj6Db2x7QTahpO0ooU3gYGCMmc0ws2X4S+BwSV0LlTO02f5oLm2mOvXSVD+amV0DbADskKJ8OuX9cjofC2wCbFaonKHN9kkpfZrZajO7zMyext/Z+YwELjGzmWY2E/glcGwmfABu4GFm7wFPATtmwkKfQVGq1OangUfNbG6qW+8ABmXSTzKz1Zn4nYCtixRlJHBDsXKGNlueMO6ajx2BibmT1NB9h4aKHEnfkrQImIP38l2dggYB75nZR5n8JmbTNoERwH7A9njP4sPAj4A+uHH5/VSmfsDvgXPNrBdwOnCPGkYNZwEHpd6bY4FfSxqSuc8WQHe8Z+gE4LfZH3ExJH01ledrwKZ4D9RtedG+DOwGDMYNhuGN+QcEaymrTeAy4MfAigJpG6PNDkAXYLsS5QltBjmq0eY6pO++c0oP7u3QUdIechf444GXzazQ6HSO0GbQGNbRbzoelDm/FDhaUidJOwDDgD+ksNBn6LM5uQ74oqQt5d4M38b1shZJD0paDvwdeMLMns/PRO7uuSlwb5n7hTZbkDDumo9uwKK8a4txEQJgZrclt8ztcMNudqVpm8DlqcdmJi7iZ8zsH6kHZxw+GgP+g3/IzB5NZfwTPkJ4UDp/xMzeT8cTgMeAvTP3WQWcZ2Yfm9kjwFIaes5LcRJwgZm9ZWZrgAuBIZKyPUcXmNkSM5sGPIG7sgaNp6S+JB0KdEg9hI1KC4wHTpDPy+uJu8+Bu2cWI7QZ5KhGm2uR1AMf+TjbzJYApL/34qMlK4CfAScWzcQJbQaNIV+/i9O1HA8BXweWA68B15nZixD6DH02O28D03DXzoXAZ3EXz7WY2VdwvR5IQ6dDPiOBu1PHWylCmy1IGHfNx1KgR961nsCS/Ihm9i5e0V/V2LSNINv7t7zAee4FNADvoZifPguAvYAtASQdKOlvaRh7AV4J9MnkNS/9UHIsY92XWzEGAL/J3ReYh88n7FfkGSrNN/gkRfWVevQuomH+Z77bbzltjsF7v54EJgGPp+sflChPaDPIUY02/aK7AD8APG1mF2eun4D3/H7OzDYAjsLn5G1RojyhzaAx5Ou3Z7qGpF5459fZuDfD1sABkk5O4aHP0GdzciWuu17ARriBNT4/UjKSHgW+pDQfNIekTwHfoIRLZobQZgsSxl3z8SoZK1/SRsA26XohOgMDM2kHpjQ5BpdIW0umAWPNrHf69DKfSHuxpA2Au4GLgU3TEPojVDDvr8L7npR3325m9vca5B2sSyltbodXehMkzcQXt+graUbyRy+pTXPOMbPPmFl/4HVguplNr0G5Q5v1TzXaJOngPmCqmZ2cl/dg4MHUmUZqwMwE9qxBuUObAbhOB2fOh9Dw3h4I/NPMbjGzNWY2A7idNEJB6DNoXgYD15vZIvO5dZcDe6j4iped8Lo3ywjcmPpLDcsV2mwGwrirAkkdUy9xR6CTpC6SOqbgccCOkg6V1AUYjfvPv5XSHi9p03Q8CPf9/SOAmb0NvAyMTnmOwFc4uidz7y5AbpGKrum8FtyMr/A1XFIHSV3lk1b74osTbADMNbM1kg4EauWDfDXwk/S/QFJPSV+vUd7tjiq0+QreozwEfxmcAHyYjqeV06akXpIGpuNBwCXAOTV6rNBmHdBc2pTUCdfhMuCYArd+DviyfEEWJO2PG4yv1OCxQpt1Qhl95paUz717u+S9e8cCp0nqK59LdBpwfQp7y5PrCDlbAN+kYY5e6DMoSZXafA4YKamHpM7A9/CO1/mSdpB0QNJFJ0nfwV0f/5xXhJG4xmtJaLMZCOOuOs7CGxJn4n7Dy/AlvDGzufgKgr/AVzYaChyRSbsXMEnSEnwy6e9zaRNHALsDC4DzgcPMbF4mfDnuz2/AG+nexcjfLqHo9glm9gHwVeAn+EIvU/AJrh3MbCnuEnWXfBj7CHxLh1KU2qphbZiZ3Yf7PN8uaSG+AuMBTXmGAGiiNpNLxuzcJ4WvMbM5Zpb7n5fSZh/gYUlL8fkl15pZsWWbIbTZHmkube6Jj4IMBxapYV+mvVL6sfhIyZPyhawuBU7MdbgVILTZPimqz8SbwEf4Ag7jgWW5kWMz+x3wIO6SPhF4wHzV1tycuhG4wTcfeBH/vs5P4aHP0Gc5mqxN/Pteic+9m4V/D4emMOHuwrPwtR9GAYdbw8qtJGPr36jMuAtttjBqaK8FQRAEQRAEQRAEbZUYuQuCIAiCIAiCIKgDwrgLgiAIgiAIgiCoA8K4C4IgCIIgCIIgqAPCuAuCIAiCIAiCIKgDwrgLaoak0ZJuKhK2r6Rp67tMQZAj9Bm0VkKbQWsltBm0ZkKfhQnjrkZI+p6k5yStkDSmQPh+kl6XtFTSnzLL0yLpdEmT0rLd70o6PS/tAEmPS/pI0muS9suEHSRpgqQF8s18/1frbjC9vqloGdpg/VKlPn+YdLlI0geSLpHUIRP+vqRlSb+LJY3PhG0h6X5J0yWtyebbQoQ+WxnVaDMTp3OKMzVzbevMdgiL0/EaSadm4vxU0hRJCyXdKqlb8z1pWUKbrYxS2kyau0vS5KSrfQqkv0jSXElzJF1YIPwHkt5L2n5V0rbp+r6SPs7odrGko5rvScsS2myFVKNP+b5uN0iaJelDSaPzwou2O1N41J2tmDDuasd04DzgE3t6SdoE31z3p0Bv4AXgjrxoRwEbAwcCp0g6PBN2W0rTG9/n5O6UJ0CPdN8tgc8BWwH/U5tHCuqIavR5PzDUzHriG5YPwfeeyWHAl82sR/pk94pZAzyC7+/ULivZoCzV1p0AZ+B7NK3FzKaZWfecLoGdgY+Bu1PeR+N7Rf0Lvi/UhsAVNXqmoD4oqs3EBFxDM/MDJJ0EHILrbhd8o+YTM+EnAMcCB5pZN+BgYG723km7OQ0XHJ0I2jVN1ie+j+KngP7AF4CjUp2Yo2i7M+rO1k8YdzXCzO4zswfwzUnzGQG8Ymb3mtkqfLPIwZK2T2l/aWYvm9matGHp/fgm56Q4uwJnm9lKM7sX32zxsJT2djN7zMxWmNki4Jpc2kKkXpzTJU1MPYLXSNpM0sOpd/AxST0z8YdJ+qt8ZPAlSftmwj4t6ck0ovMovoF1RUjaUtLdkmanUaFRmbDRku6QdGMq0yRJn6807+CTVKnPyWa2IMXtiBts2+bloSL3nW1mVwPPF4uzTiahz3ZHNdoEkPQZ4EjggjK3Ohr4i5nl3HQOBsaY2QwzWwZcBBwuqWuhxKHN9kcpbZrZajO7zMyexuvEfEYCl5jZTDObCfwSOAZAkoD/Bk41szdTfpPNbGFTyhnabJ9Uqc+DgYtTu3IKbiAeB+XbnUTd2eoJ4279sCMwMXeSfgzvpOuF2Bt4JR0PAt4zs48y4RNLpN0XeLVMeUYA+wHb4z2LDwM/wn8kHUmjMpL6Ab8HzjWzXsDpwD1qGDW8FXgupfs53ngqS3qxPQi8hI847gf8QNL+mWhfSfn3THF/W0neQZMoq09J35K0CJiD90L/Li+PW+TuHeMl7VJleUKfQY5K6s7LgB8DK8rkdRRwQ4nwDkAXYLsScUKbQaWso13WfW9vjXvZ7Cxpamponp2XfjNJM1PYryRtWOZ+oc2gsWQ7XDvgnjnQ+HZn1J2tjDDu1g/dgEV51xYD3fMjSjoH/8Hd0IS0++MNmJ+VKc/lZjY39SZOAJ4xs3+knvFxeI8N+LD7Q2b2KICZ/QkfgTlI0tbAUOC/Uw/RBPzHUAl7AH3M7Hwz+9jM3geuBY7IxHnKzB41MwNuwg2KoHkoqzEzuy25ZW4HXM26LnBHAp8GBgBPAo9K6lFFeUKfQY6S2pR0KNAh9V4XRdLewGa4i2eO8cAJ8rklPXHXTnAXo2KENoNKydfu4nQNoF/6uz/eYP534FuSjk/X3wCGmNmWKWw34JIy9wttBo1hPHCmpG7yuZ7H0lD3lWsTRN3Zygnjbv2wFJ8bl6UnsCR7QdIpwHeAg8xsdSPTDgNuAQ4zs3fLlCfbMF9e4Dz3AhqAD7XPT58FuMvnlrif9QIzW55JO6XMfXP0B/rl5ftjvPGV48PM8TKgqzKLeAQ1pSKNASRtvQZclbn2t+S6scLMLgQW4qPPTSX0GeQoqs00knERDfM/S7n9jgTuSSN/Ocbg80qeBCYBj6frH5TIJ7QZVEq+dnuma+BaAbjIzJYkt7jfAQcBmNksM3sjHU/BG8+HUZrQZtAYRgErgbdx4+pWGuq+cm2CqDtbOZ1augDthFfJDB3LV7Pchoz7pKTj8Ap879SzkU07UNJGmSHywcDNmbS7AvcBx5jZkzUs9zRgrJmdlB8gX7Gul6RPZX5o/Sns210o3/fMbIfaFTWogrL6zKMzMLBEfkYF8+tqQOiz/imlze3whsCE5HKzAdBT0gxgmJlNTWm6At8AvprNOPXOnpM+SBqOL2IxvQblDm0Gr+Lv6ufT+RAa6tQ3gVV58cstOFWrRmZoM8B8fud3cueSzgeeTacl251Rd7Z+2qRF2hqR1DE1IjoCnSR1kdQxBY8DdpR0qKQuwGjgZfPFU5D0beB8YP/US7cWM3sbeBkYnfIcgftF35PS7oSvRjjKzB6u8WPdjK/wNVxSB0ld5Us0900Np+eBc+RL7n4R91euhGfxnvczUp4dJe0oaWiJNOvDWKhbqtTn8ZI2TceDcD/5P6bzrSXtmTTQRdJ/AZsAf83cuwuQm2jdNZ3XgtBnHVCFNl/B5y4NwRseJ+A9r4PxF3mOEcB8M/tz3n17SRqYjgfhbm/n1OixQpt1QBltImkDNSwi0SWvbhsLnCapr3we0WnA9QCpYXo7cIbcLW4r4ESSi5mkf00NWeSuaBfiHbi1ILRZJ1SjT0kDJfVOGjgQ+C4+h62SdmfUna2cMO5qx1n4MO6ZuM/wMnz5bsxsLu5S8Qt8VaOhrOvnex6+3OxzatjT5spM+BHA7sAC3Ag8zMzmpbDT8Iml16W0SyRNKlHO/N7Bor2FZvYB3tv9E3whjSn45Nacbr4NDAPm4fP8bixx32y+a/DVloYAk4HZ+CqfpeZpxTL61VGNPvcCJklagk90/n0uLe6Df1VK9wEwHDjAGlbXBHe5WIx/h2+kexcj9Nn+aJI207yJ2blPCl9jZnNSz3KOkXhDO58+wMOSlgIPAdeaWbElxSG02R4pqs3Em8BHuLvYeGBZzigzs9/hxtokfDGKB8zsmkzaUSntDLwz7GYzuyGF7Qo8nbT5FN7Q/kGJcoY22ydN1ic+j3MS/m4+HzjSzF7PpC3V7oy6s5Wjdd+BQRAEQRAEQRAEQVskRu6CIAiCIAiCIAjqgDDugiAIgiAIgiAI6oAw7oIgCIIgCIIgCOqAMO6CIAiCIAiCIAjqgDDugkYh6WhJE5r5Hq9I2qc57xHUJ6HPoLUS2gxaM6HPoLUS2mw8YdxVgaTvSXpO0gpJYyqIf6qkmZIWSrpWUudMWC9J4yQtlTRZ0rfy0u4n6fUU/qfMcrYtQc2WWJV0vaRz18ncbCcz+0ut7tFeqbE+i+YlaYCkNWkLj9xWHj/95B3WG6HPVk6ttJn2cbpW0vuSFkl6UdIBmXRHZjS5WNJHSau7NufzlSC02Qaocd05QNJDkuZLmiHpckkdMmFRdwYV0xhtpn3cxkuaI+njInGOkPRaalu+LWmvdD3qzjZMGHfVMR3fo67U/h4ASPoScAbwb8AAYBvW3fTxSmAFsCnwHeAqSZ9LaTfBN4/8Kb4f3gvAHTV7imZCmc00gxahlvosl5cBPc2su5n1MLPzqyn4+iD02aLUSpudgKnA3mbWE9/36E417DV2a0aTPYD/AN41s5dq/UC1JLTZ4tT63T4b2BzfY2tfXIc5ou4MGkPF2gRW423F4woFStofuAA42sy6AfsA70HUnW0eM4tPlR/8hzamTJxbgJ9nzv8NmJmONwRWAttkwm8EfpGOvws8lQnbEN+scvsi93oilemvwBLgftwovBlYBDwD9M/E/yzwGL4p5OvANzJhvYEHUrq/A+cCfyly3wHAGrwimQI8ma7fCczEN8N8Evhc5rlW4UbtYuD+dH0y8O/peAPgUrxC+wD4NdC5pb/ztvSpVp/l8sp87x0rLE/oMz4112YmfCJwaJGwx4GfhTbjs770CbwKHJA5vxi4Ku97j7oz9FlzbWbibgN8XOD6X4FjK8wj6s5W8L1X+omRu/XHjnijI8dEYDNJvYDtgdVm9m5e+I6F0prZMuCdTHghvgl8G+gLbAs8jff09ALeAEYDSNoQ/4HdDPQBjgCulPTZlM+VuCG5OXA8RXqA8tgH/+F+KZ0/jFcumwEvArem57gGfzFebN479NUCeZ0F7AHsAgxOx2dVUIagcZTSZyUY8L6kqZLGpNHmUoQ+g0qpWJuSNge2wxvU+WEDgL2BsWXuF9oMGkM5fV4KHCHpU5L6AQcCj2TiR90Z+lzvJNfgobhW3076u1xSlwJxo+5sY9oM42790Q3vhcixGBDQPYUtzou/OIUVSpsfXojrzex9M1uCv0jeNbMnzGwNcBeQ85s+GJhsZmPNmYi7gH4j/fhH4L01K8zsVXxEsRQGjDaz5Wa2EsDMbjCzZWa2Gu+BGSypVNmzHAmcY2bzzGwe7u4yssK0QeWU0mc55gK74z1ou6U0t5RJE/oMKqUibUrqhDcWbjCztwrkMxKYYGZTytwvtBk0hnL6nADslK5PBZ4zswdSWNSdoc+WYnOgM3AYsBfuMrwrhY2YqDvbmDbDuFt/LAV6ZM574oJcUiAsF76kSNr88ELMyhwvL3DeLR0PAIalyd7zJS3Ahb05Pv+vEz4snaPcj5tsfEkdJF0o6R1JC/Ghb8N7ayqhL/5CzN5/ywrTBpVTSp8lMbOPzOxFM1tjZnOAU4DhkjYqkSz0GVRKWW1KEm7YrQRGFcnnKOCGCu4X2gwaQ1F9Jl2OB+7Gp1P0AXpLugii7iT02ZIsT38vM7PZZjYf+BVwUIG4UXe2MW2Gcbf+eBUf3s0xBJhlZguAt4BOkrbJhA+mwbXo1RQfgFTxb0MB16MmMA33Ue6dPr3Mh6pPAebgE3K3zsSvZJXO7KpGRwJfwX2ZNwY+jfdqmrWEfQAAAqxJREFUqkDcQszAK4IcA9K1oLaU0mdTMGpTv4Q+g0q0eR3+4h5hZp9YFS6tALcl3jtcK0KbAZTWZ29cA781s9Xp2vW4a2Yxou4Mmh0zW8i6BhQU+M6i7gTaoDbDuKsCSR0ldQU64sZZlxIr9YwFjpf0ueSLfxZeyefm0N0LnCtpQ0lfxIV5U0o7DthR0qHJH3o08HIR16PG8ntge0nfkdRJUmdJQyXtkIbS7wXOTvMFBgFHl8lPeefd8d70BckovYB1f1izgIEl8rsNOEtSH0l98NXwbioRP0jUSp/l8pK0h6Tt5WwC/AZ4IrlmVEvosw6psTavxudaHGJmq4rkcTRwj5l9VLunCG3WKzV8t8/DRw1OTnlujOtgYrpP1J2hz0bRSG2S2oxd/FBdJG2QCb4eGCVp06TdU4EH87KIurMNajOMu+o4C5/0eSY+iXQZvl0BkraW7w2yFYCZPYqvkvUEXtm/C5ydyet7uNvGbNy96GQzez2lnYv7Rf8CmI9Pgj2iRLnK9Uo0RDRbCgxP+c1InwvxygDcxak7vurQmPQpmWXe+Vh8eHs68Ao+wTbLdbjhOl/SvQXy+DnwPPAP/IX4PNDql4puJdRSn0XzwivJ8fickn/gq1AdWaJcoc+gJtqUb3lwImm0RA37Mq3dJzQ1br5OZW5Foc0Aalt3jsBd3ebgXjqrgNNSWNSdoc/GUrE25QuhLAcm4f/75fjCJjnOw//vb+Ej0C/g7UxS+qg726g2ZVbx9xEEQRAEQRAEQRC0UmLkLgiCIAiCIAiCoA4I4y4IgiAIgiAIgqAOCOMuCIIgCIIgCIKgDgjjLgiCIAiCIAiCoA4I4y4IgiAIgiAIgqAOCOMuCIIgCIIgCIKgDgjjLgiCIAiCIAiCoA4I4y4IgiAIgiAIgqAO+D94QMIKmajxIgAAAABJRU5ErkJggg==\n", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - " #1 #2 #3 #4 #5 | Algorithm\n", - " --- --- --- --- --- | ---------\n", - " 19 10 9 2 0 | greedy\n", - " 11 18 11 0 0 | rep_nn\n", - " 10 11 16 3 0 | divide\n", - " 0 1 4 34 1 | nn\n", - " 0 0 0 1 39 | mst\n" - ] - } - ], - "source": [ - "compare(basic5)" - ] - }, { "cell_type": "markdown", "metadata": {}, @@ -2553,14 +2215,14 @@ }, { "cell_type": "code", - "execution_count": 79, + "execution_count": 67, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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tdk0VgJHmGzVqFKNGjQodhsgq9N6UVKb3p6QqvTclVem9mVxmq531p9nz3N0LvOOcu2l154g72aZmlhP9vg2+hPMHzrklwFdm1sd8RKfgy0uDL60cm+z1eOrLiIuIiIiIiEgzNNlyZ2b74CdOfcvM3sAP7L8MP53BGPycPlPMbK5z7hBgP+BKM/sRP3XCH+PmoTmbladCiM0hdA8wzswW4OdVGpSk6xMREREREckKTSZ3zrkX8ROuJjIpwf6PsZoJTp1zc4CdE6z/ATihqVgkuQoLC0OHIJKQ3puSyvT+lFSl96akKr03150mJzFPJWbm0ileERERERGRZDKz1RZUae6YOxEREREREUlhazTPnYiISLaqqlpEcfFYqqvryM/PoaysiO7du4UOS0RE5GfqlikiItKEqqpFDBw4hsrKUiAXqKWgoITy8uFK8EREZJ1St0wREZEWKC4eG5fYAeRSWVlKcfHYgFGJiIisTMmdiIhIE6qr66hP7GJyqampCxGOiIhIQkruREREmpCfnwPUNlhbS16ePkZFRCR16FNJRESkCWVlRRQUlFCf4Pkxd2VlRcFiEhERaUgFVURERJohVi2zpqaOvDxVyxQRkTAaK6ii5E5ERERERCRNqFqmiIiIiIhIhlNyJyIiIiIikgGU3ImIiIiIiGSA9UMHICIikg5iBVWqq+vIz1dBFRERST0qqCIiItKEqqpFDBw4hsrKUvxk5n4qhPLy4UrwRERknVJBFRERkRYoLh4bl9gB5FJZWUpx8diAUYmIiKxMyZ2IiEgTqqvrqE/sYnKpqakLEY6IiEhCSu5ERESakJ+fA9Q2WFtLXp4+RkVEJHXoU0lERKQJZWVFFBSUUJ/g+TF3ZWVFwWISERFpSAVVREREmuH551/k1FP/ytKluXTqVMs//nEB++23T+iwREQkyzRWUEXJnYiISBOqqhbRr99VLF68Ob7TSx1bbfUJM2f+n6pliojIOqXkTkREpAWOOmoEkycbUEZsKgQo5sgjHZMm/S1scCIiklU0FYKIiEgLvPTSIuoTO6KfZcyevShcUCIiIg0ouRMREWlSBxJNheDXi4iIpAYldyIiIk34zW82J9FUCHvuuXmIcERERBJSciciItKEG288h65dLyN+KoSuXS/jxhvPCRmWiIjISlRQRUREpBmqqhZRXDyWmpo68vJyKCsrUqVMERFZ51QtU0REREREJAOoWqaIiIiIiEiGU3InIiIiIiKSAZTciYiIiIiIZAAldyIiIiIiIhlAyZ2IiIiIiEgGUHInIiIiIiKSAZTciYiIiIiIZAAldyIiIiIiIhlAyZ2IiIiIiEgGUHInIiIiIiKSAZTciYiIiIiIZAAldyIiIiIiIhlg/dABiIiIpIOqqkUUF4+lurqO/PwcysqK6N69W+iwREREfmbOudAxNJuZuXSKV0REMkNV1SIGDhxDZWUpkAvUUlBQQnn5cCV4IiKyTpkZzjlLtE3dMkVERJpQXDw2LrEDyKWyspTi4rEBoxIREVmZkjsREZEmVFfXUZ/YxeRSU1MXIhwREZGElNyJiIg0IT8/B6htsLaWvDx9jIqISOrQp5KIiEgTysqKKCgooT7B82PuysqKgsUkIiLSkAqqiIiINEOsWmZNTR15eaqWKSIiYTRWUEXJnYiIiIiISJpQtUwREREREZEMp+ROREREREQkA6wfOgAREREREck8sbHK1dV15OdrrPK60GTLnZltaWbTzextM3vLzM6N1h9nZvPMbIWZ9W7wnEvNbIGZvWtmB8at721mb5rZfDO7MW59WzN7KHrOS2bWNZkXKSIiIiIi605V1SIGDhzDhAkjqagoZcKEkQwcOIaqqkWhQ8tozemWuRy4wDm3I7AXcLaZbQe8BRwNzIzf2cy2B04AtgcOAW4zs9iAv9uBoc65nkBPMzsoWj8U+MI5ty1wI3B9yy5LRERERERCKS4eS2VlKZAbrcmlsrKU4uKxAaPKfE0md865Jc65udHv3wLvAvnOufeccwuAhpVajgQecs4td84tBBYAfcysC7CRc+7VaL/7gaPinvOP6PdHgAEtuCYREREREQmourqO+sQuJpeamroQ4WSNNSqoYmZbA72AlxvZLR9YHLdcHa3LBz6KW/9RtG6l5zjnVgBLzewXaxKbiIiIiIikhvz8HKC2wdpa8vJUz7E1Nbugipl1wLeqnRe14LWmhPM2ABQVFbH11lsD0KlTJ3r16kVhYSEAFRUVAFrWspa1rGUtA9C/f3/SxYwZM4K/XlrWspa1nKzlsrIiZs8uobJyALABsAcFBSUcdtjuVFRUBI8vnZbnzp3L0qVLAVi4cCGNadYk5ma2PjAFeNo5d1ODbTOAC51zr0fLlwDOOXddtDwNKAEWATOcc9tH6wcB/ZxzZ8b2cc69bGbrAR875zZLEIcmMRcRkaBGjfIPERFpXKxaZk1NHXl5qpaZLI1NYt7c5O5+4DPn3AUJts0ARjrn5kTLOwATgD3x3S3LgW2dc87MZgPnAq8CTwE3O+emmdlZwE7OubOipO8o59ygBOdSciciIkGZgT6KREQklBYld2a2D/A8vjqmix6XAe2BMcCmwFJgrnPukOg5l+IrYP6E78b5bLR+N2Bs9NypzrnzovXtgHHAr4HPgUFRMZaGsSi5ExGRoJTciYhISC1uuUsVSu5ERCQ0JXciIhJSY8ldzroORkRERERERJJPyZ2IiIiIiEgGUHInIiKyBkpKQkcgIiKSmMbciYiIiIiIpAmNuRMREREREclwSu5EREREREQygJI7ERERERGRDKDkTkREREREJAMouRMREVkDo0aFjkBERCQxVcsUERFZA2agjyIREQlF1TJFREREREQynJI7ERERERGRDLB+6ABEREREZO1VVS2iuHgs1dV15OfnUFZWRPfu3UKHJSIBaMydiIjIGtCYO0klVVWLGDhwDJWVpUAuUEtBQQnl5cOV4IlkKI25ExERSZKSktARiNQrLh4bl9gB5FJZWUpx8diAUYlIKEruRERE1oCmQpBUUl1dR31iF5NLTU1diHBEJDAldyIiIiJpKj8/B6htsLaWvDzd4olkI425y0IaeC0iIpIZNOZOJPs0NuZOyV2W0YeAiIhIZol9aVtTU0denr60Fcl0Su7kZ0OGlDJhwkhW7p9fy+DBoxk/XlUCRERERERSmaplys808FpEpGVUUEVERFKVkrsso4HXIiItU1oaOgIREZHEdEefZcrKiigoKKE+wfNj7srKioLFJCIiIiIiLacxd1lIA69FRNaeGeijSEREQlFBFRERkSRRciciIiGpoIqIiIiIiEiGU3InIiKyBko0a4yIiKQodcsUERERERFJE+qWKSIiIiIikuGU3ImIiIiIiGQAJXciIiIiIiIZYP3QAci6F5vnrrq6jvx8zXMnIiIiIpIJVFAly1RVLWLgwDFUVpYCuUAtBQUllJcPV4InItIMo0b5h4iISAiaxFx+NmRIKRMmjMQndjG1DB48mvHjVd9bRKQpmsRcRERCUrVM+Vl1dR0rJ3YAudTU1IUIR0REREREkkTJXZbJz88BahusrSUvT28FEREREZF0pjv6LFNWVkRBQQn1CZ4fc1dWVhQsJhERERERaTmNuctCsWqZNTV15OWpWqaIhHfmmfCvf4WOonkWLIBttw0dReO22QamTQsdhYiItAYVVBERkZS2995w7rnQu3foSJo2ZgwMHx46itX78ks49FD4/PPQkYiISGtoLLnTPHciIpISunaFnj1DR9G0MWNCR9A4JXUiItlLyZ2IiIiIiCRdbChQdXUd+fkaCrQuKLkTEREREZGkqqpaxMCBY6isLMVPw1XL7NkllJcPV4LXilQtU0REREREkqq4eGxcYgeQS2VlKcXFYwNGlfmU3ImIiIiISFJVV9dRn9jF5FJTUxcinKyh5E5ERERERJIqPz+H+nmVY2rJy1P60Zr06oqIiIiISFKVlRVRUFBCfYJXS0FBCWVlRcFiygYqqCIiIiIiIknVvXs3ysuHU1w8mpqaOvLycigrUzGV1qbkLgupLK2IiIiItLbu3bsxfnxJ6DCyipK7LKOytCIiIiIimUlj7rKMytKKiIiIiGQmJXdZRmVpRUREREQyU5PJnZltaWbTzextM3vLzM6N1m9iZs+a2Xtm9oyZdYzWdzOz78zs9ehxW9yxepvZm2Y238xujFvf1sweMrMFZvaSmXVtjYsVlaUVkdS0005w7bXwww+hI0lvzsGVV8LOO4eOREREQmjOHf1y4ALn3I7AXsDZZrYdcAnwnHPuV8B04NK457zvnOsdPc6KW387MNQ51xPoaWYHReuHAl8457YFbgSub9llyeqoLK2IpKJbboG2beHoo2HZstDRpKe6Ojj7bHjlFZg8OXQ0IiISgjnn1uwJZpOAW6JHP+fcJ2bWBahwzm1nZt2AKc65nRs8rwsw3Tm3Q7Q8KHr+mWY2DShxzr1sZusBS5xzv0xwbrem8cqqYtUy68vSqlqmiIS3fDmcfDJ8/jlMmgQbbhg6ovRRVwfDhsF778FTT8HGG4eOSEREWouZ4ZyzhNvWJFkys62BCmAnYLFzbpO4bV84534RJXfzgAXAV0Cxc+4FM9sNuMY5d2C0f1/gYufcEWb2FnCQc64m2rYA2NM590WD8yu5ExHJYMuXw2mnweLF8OST0KFD6IhS34oV/jX78EO9ZiIi2aCx5K7ZUyGYWQfgEeA859y3ZtYwy4otfwx0dc59aWa9gUlmtsOaxry6DUVFRWy99dYAdOrUiV69elFYWAhARUUFgJa1rGUtazmNl++7D3772wr22gtmzSpko41SK75UWu7bt5BTToH33qvgqqugQ4fUik/LWtaylrXc8uW5c+eydOlSABYuXEhjmtVyZ2brA1OAp51zN0Xr3gUK47plznDObZ/guTOAC4Ga+H2a6Jb5sXNuswTHUsudiEgWqKuDs86C//wHpk2Djh1DR5R6fvoJTjoJamvhscegffvQEYmIyLrQWMtdTjOPcS/wTiyxizwBFEW/nwpMjk62qZnlRL9vA/QAPnDOLQG+MrM+ZmbAKbHnRMc6Nfr9eHyBFhERyVI5OXD77bDHHnDAAfDll6EjSi0//ADHH+9/Pv64EjsRSU1VVYsYMqSU/v1LGDKklKqqRaFDynhNttyZ2T7A88Bb+K6XDrgMeAWYCGwFLAJOcM4tNbNjgCuBH4E64Arn3NToWLsBY4H2wFTn3HnR+nbAOODXwOfAIOfcwgSxqOVORCSLOAcjR8L06VBeDptuGjqi8JYtg+OOg3bt4MEHfZVRyW6xQmnV1XXk56tQmqSGqqpFDBw4hsrKUvwcy75Ce3n5cL0/WyhpBVVCU3InIpJ9nIPLLvNVIJ97DjZbpdN+9vj+ezjqKNhkExg3Dtq0CR2RhKYbaElVQ4aUMmHCSPz7MqaWwYNHM358SaiwMkIyumWKiIgEYQZXX+3nwCsshI8/Dh1RGLW1cPjhPrkdP16JnXjFxWPjEjuAXCorSykuHhswKhGorq5j5cQOIJeamroQ4WSNZlfLFBFpbepaJKtjBqWlPqEpLPTdNPPzQ0e17nzzDRx2GPToAXffDeutFzoiSRW6gZZUlZ+fA7yLH8VVh29TOoG8PLUttSYldyKSEhJ1LZo9W12LZGWXX+7HmO23n0/wumXBW+Orr+CQQ2DnnX2RmRzdF0kcfwNdS8Oub7qBltCGDTuAhx++juXLbyX2ub7++mczbNjpoUPLaPqXLyIpQV2LpLkuvhiGD/cteFVVoaNpXV9+CQMHwm67wR13KLGTVZWVFVFQUIJP8CA25q6srChYTCIAd931XFxiB5DL8uW3ctddz4UMK+Op5U5EUoK6FsmaOP/8+i6a//qX766YaT7/3Cd2hYXwl7/4rqkiDXXv3o3y8uEUF4+mpqaOvLwcysrU40HCq6z8jkSf65WVtYl2lyRRciciKUFdi2RNnX2276JZWOiraG63XeiIkud///Pz+x16KFxzjRI7aVz37t1UfVD1TcDMAAAgAElEQVRSzpIl75Poc33JkspAEWUH3TWJSEpQ1yJZG6efDn/+MwwYAG+/HTqa5FiyBPr391MeKLETkXS1+eZbASt/rkMJXbpsFS6oLKCWOxFJCepaJGurqMh30TzgAJg2DXbdNXREa6+62ieqgwdDcXHoaERE1l6PHpvw8ssnAKOpr5Y5lIKCiWEDy3CaxFxERDLCxIlw7rkwdSr07h06mjX34Yew//6+NfJPfwodjYhIyySqgl1QoCrYydDYJOZK7kREJGM89hiccQZMmQJ9+oSOpvkWLvSJ3fDhMGJE6Ggk3WiOUElVsfdmfY8cvTeTQcmdiIhkjSefhKFDYdIk2Hvv0NE0rbLSJ3YXXQTnnBM6Gkk3ah0RyT5K7kREJKtMmOBb8KqrYeONQ0fTuG23hZNOgtLS0JFIOhoypJQJE04AJlI/rukEBg+eqAqaIhmqseROBVVERCSjfPIJXHutH3+3ccfklJq8FliWYH174JIWHnsBwJXw7iDH9tu38GCSdd5//0vgHqC+5Q5KqKxcHjQuEQlDUyGIiEjGqKnx894dd5yfIgHnkvJY1q8fo2CVx7J+/ZJy/PHjHAMGwLx5YV43SV+ffLKY+sSO6GcpS5YsDheUiASjljsREckIixf7sWu//z1cdlnoaNbMkCGw/vr10zn06hU6IkkXXbr0YOHC3AZrc+nSpSBIPCISllruREQk7S1c6Fvs/vjH9EvsYgYNgltvhYMOgtdeCx2NpIuCgg2pnyQ6ppaCgoYJn4hkAyV3IiKS1j74wCd2550HI0eGjqZljj0W7r4bDj0UZs8OHY2kg7KyIgoKSqhP8Hy1zLKyomAxiUg46pYpIilDczXJmlqwAAYMgEsvhTPPDB1NchxxBIwd638+9hj07Rs6Ikll3bt3o7x8OMXFo+PmEtM0CCLZSsmdiKSERHM1zZ6tuZpk9d59FwYO9FMIDB3auudq37Mno1azvjUceqifzuGYY2DiRN8yKdIUzRYlIprnTkRSgp+raST1Fd8Aahk8eLTmapJVzJsHBx7opzw45ZTQ0bSeGTPgxBPhgQd8sRWRhjSJuUj2aWyeO425E5GUUF1dx8qJHUAuNTV1IcKRFDZ3rk90Ro/O7MQOoH9/ePRRP8n5tGmho5FUVFw8Ni6xA8ilsrKU4uKxAaMSkVCU3IlISsjPzyFRxbe8PP03JfXmzPHVJMeM8QlPNth3X5g82SeyTz4ZOhpJNfpiTJLNzNLmIavSXVMWqqpaxJAhpfTvX8KQIaVUVS0KHZKIKr5Jk15+GQ45BO68E44/PnQ069Zee8FTT8Ef/uCLrIjE6IsxSTbnXNIfkPxjaqhWYhpzl2XUN19SWaxaZn3FN1XLFO/FF+Hoo+G+++Cww0JHE84bb/gE96ab/Fg8EX2uSzowU8GfZGpszJ2SuyyjohUikm5mzoTjjoPx432XzGz35pv+dbjhBhgyJHQ0kgr0xZikOiV3ydVYcqepELKM+uaLSDr5179g0CB4+GHYf//Q0aSGXXbxr8vAgbB8ORQVhY5IQuvevZu+oBURQMld1qnvm79yy5365otIqpk2zRcRefRR2G+/0NGklh12gOnTfdXQH3+EYcNCRyQisnol+u5hnVG3zCyjvvkikg6mTIHTToNJk2DvvUNHk7refx8GDICLL4azzw4djYiIrAsacycrUd98EUlljz8OZ5zhy/736RM6mtRXVeUTvOHDYcSI0NGIiEhrU3InImkh9sVDdXUd+fn64iEbTZwI554LU6dC796ho0kfH37oxyQOG+Zb8ST1pdMcXbr3EkktKqgiIikvUZfh2bPVZTibTJgAI0fCM8/ArruGjia9dO3qq4ruv78fg3f55aEjkqa0RsI0apR/iEj2UsudiKQETdOR3SZMgIsugvJy2HHH0NGkryVLfBfNE0+EK64IHY2IiLSGxlruVCJRRFKCpunIbrfeCvfco8Supbp08WMVb7opdCQiIvXUorzuKLkTkZRQP01HPE3TkU06dgwdQWbQ6ygiqaa0NHQE2UN3TSKSEsrKiigoKKE+wfPTdJSVFQWLSURERCSdqKCKiKSE7t27UV4+nOLi0XHTdKiYioiIiEhzKbkTkZTRvXs3FU8REVlLqpYpIkruRERERDJAaamSu2xz+eXwv/+FjqJ5hg0LHUHT9t0XTj45dBQto+RORFKGJjEXERFpvuuvhxtvhPVT/I7+449h991DR9G4t9+GceOU3ImIJIUmMRcREVlzf/gDtG0bOorGpUOr3bPPwrvvho6i5VQtU0RSQnHx2LjEDiCXyspSiovHBoxKREREJH0ouRORlFBZ+R2JJjGvrGw4952IiIiIJKLkTkRSwpIl75NoEvMlSypDhCMiknZKVGxYJOspuRORlLD55lsBK09iDiV06bJVuKBERNKIKmWKiAqqiEhK6NFjE15++QRgNFCH/+5pKAUFE8MGJiIiIpImlNyJSEooKyti9uyVq2UWFJRQVjY8cGQiIiIi6UHJnYikhO7du1FePpzi4tHU1NSRl5dDWZmmQRARERFpLiV3IpIyunfvxvjxqgggIiIisjZUUEVEREQkA6igiogouctCVVWLGDKklP79SxgypJSqqkWhQ5I0ZmZp8xARyWSlpaEjEJHQ1C0zy1RVLWLgwJWLVsyeXUJ5ucY2ydpxziX9mKNG6RtoERERkTXVZMudmW1pZtPN7G0ze8vMzo3Wb2Jmz5rZe2b2jJl1jHvOpWa2wMzeNbMD49b3NrM3zWy+md0Yt76tmT0UPeclM+ua7AsVr7h4bFxiB5BLZWUpxcVjA0YlsjIldiIiIiJrrjndMpcDFzjndgT2As42s+2AS4DnnHO/AqYDlwKY2Q7ACcD2wCHAbVbfH+p2YKhzrifQ08wOitYPBb5wzm0L3Ahcn5Srk1VUV9dRn9jF5FJTUxciHBERERERSZImu2U655YAS6LfvzWzd4EtgSOBftFu/wAq8AnfEcBDzrnlwEIzWwD0MbNFwEbOuVej59wPHAU8Ex0rViLvEeCWll+aJJKfnwPUsnKCV0tenoZfioiINPT223B9Gn3lfOqpoSNonBlcfjn06BE6EpHMtEZj7sxsa6AXMBvY3Dn3CfgE0Mw2i3bLB16Ke1p1tG458FHc+o+i9bHnLI6OtcLMlprZL5xzX6zR1WSw5BaDeAOYQGzMHQxmwoTJTJgwKilHb40xWCIiIiG8+ipUVsLpp4eOpGlffQX77x86isaNGQP/+Y+SO5HW0uzkzsw64FvVzota8BrewSfzjn61mUxRURFbb701AJ06daJXr14UFhYCUFFRAZCRy865pB2vW7fuFBePZsKEDzjgAOOuu26ie/dJSTt+TCq9flrWspZTe/mrryp4/XXYe+/UiCfdl3/6qYKKitSJJ92XO3SooFu31IlndcuTJqVWPImWn3gC5s2roHPn1IgnE5ZnzqygTZvUiSddlyG14olfnjt3LkuXLgVg4cKFNMaa08piZusDU4CnnXM3ReveBQqdc5+YWRdghnNuezO7BHDOueui/abhu1wuiu0TrR8E9HPOnRnbxzn3spmtB3zsnNssQRxOrULJYwZ6OSUVqVpm9tl7bxg92v+Ulvn8c+jZ0/+Ulhs7Fioq/E9puWOPhZNO8j+l5TbaCJ59FvbaK3Qk6e+aa2DWLHjyydCRNM3McM4lbAzLaeYx7gXeiSV2kSeAouj3U4HJcesHRRUwuwM9gFeisXtfmVmfqMDKKQ2eE+slfjy+QIu0spKSpvcRCUFzNYmIiDTtwQfhiCPgqadCR5K+nPP3xPfcA3/9a+hoWq7Jbplmtg8wGHjLzN7Ad7+8DLgOmGhmp+Fb5U4AcM69Y2YTgXeAn4Cz4prbzgbGAu2Bqc65adH6e4BxUfGVz4FBybk8aYxaRkRERETS1+GHw5QpcOSRcNVVMHRo6IjSy/LlcMYZfhzoiy/C5puHjqjlmlMt80VgvdVsPmA1z7kGuCbB+jnAzgnW/0CUHIqIiIiISPPsuSc8/zwcfDBUV0NxsR96I42rrYUTT4QVK2DGDOjQIXREydHcbpkiIiIiIpKCevb048UmT/YtUcuXh44otX36qa8s+8tfwhNPZE5iB0ruRERERETSXpcuvvhPVRUccwx8913oiFLTBx/APvvAwIFw773Qpk3oiJJLyZ2IpBwV+xEREVlzG23kx+B17AgDBsBnn4WOKLXMmQN9+8L558Of/5yZ3VeV3GUxFVSRVKX3poiIyNpp2xbuvx8KC30i08S0aFnj2WfhkEPg1lvhrLNCR9N6lNxlMZWbFxEREck8Zn7etnPO8V0Q33gjdERh3X8/nHwyPP44HH106GhaV5PVMkVEREREJP2ccw5ssQUcdBA88AAckLDOfeZyDq67Du64w49H3H770BG1PrXciYiIiIhkqGOPhUcfhcGDYcKE0NGsOytWwPDhfqL3WbOyI7EDtdyJiIiIiGS0ffeF6dP9mLOaGhg5MjOLicQsWwZDhsAXX/g5ADt2DB3RuqOWOxFJOSqoIiIiklw77uhbsO6/H0aMgLq60BG1ji+/hAMP9FMcPP10diV2oJa7rKZy85KqSkuV4GWbl17yg/733jt0JOnvp59gvfVCRyEiqWjLLeHf/4ajjoJBg3yi17596KiS58MPfevkwQfDDTdAThY2Yym5y2K6eRaRVDFuHHTuDBtvHDqSpt1zDwwdGjqKxnXuHDoCEUlVnTrBtGlwyik+CZo0ya9Ld2+9BYce6lslL7ggdDThKLkTEZHghgwJHUHz9e0L994bOgoRkbXXvj089JBPgvbd13df3HLL0FGtvYoKOPFEuOkm3yKZzbKwsVJEREREJLvl5MDf/gannuq7xb/9duiI1s7EiXDCCT5ZzfbEDtRyJyIiIiKSlcx85cwttoD994dHHvEteenipptg9GgoL4dddw0dTWpQciciKUfFfkRERNadwYNh8839nHi33+5/pjLn4OKL4amn4IUXoFu30BGlDiV3WWzUKBVVkdSk96WIiMi6NWAAHHYYHHtc6k+AZ8ANwI73OSV2DWjMXRYrLQ0dgYhI+lHLsohkmp9+gt//Ht55Bz79n/NNYyn+ePUVx6WXwp13hn71Uota7kRERNaAWpZFJJN8+y0cf7yfH3P6dMjNTc5xrx02jGXz56+yvn3Pnlxy110tPv4ee/g5+w4+GKqrfaOFpX6jY6tTciciIiIikoX+9z/fFXPXXeGOO2D9JGYGy+bPZ9TMmausH5W8U9CjB8ya5a+hpib515CO1C1TRERERCTLvP8+7L23T4zuvjt9k6LNNoMZM3xyd+SRUFsbOqKwlNyJSMpRtzcREZHW88orfsqDiy/2n7np3p2xQweYPNknev37w6efho4oHCV3WUxFASRVqdiPiKSSb74JHUFmcE6vZSp4+mnfWnfnnTBsWOhokqdNG7j3XjjwQN8i+cEHoSMKQ8ldFlPriIjImtP/ndmlf39fQXDwYFi6NHQ06euzz+CYY/wYr332CR1N9rrvPl8V84kn4IgjQkeTfGbw5z/DBRdA374wZ07oiNY9c86FjqHZzMylU7wisnbM/De8IqlI78/s8913cNFFfsLkceN8dzZpvmef9QnFSSf5G+927UJHlH2cg6uu8i1bTz8Nv/pV65+ztatlNmXSJN8yOW4cHHRQq59unTIznHMJO9MquRORlKObZ0llen9mrylT4PTT4bTTfAtumzahI0pty5bBpZfCI4/4FqMDDggdUXZasQLOOQdmz4apU2GLLUJHtO68+CIceyxcfz2cckroaJKnseRO3TJFREREmuHww2HuXHjjDd+1cMGC0BGlrnnzoE8fWLzYv2ZK7ML4/nuf3Lz/PsycmV2JHfh/pzNmwBVXwDXXZMcXc0ruRCTlqNiPiKSqzTf33TNPPdUXbfj737PjhrG5nIObb/ZjFc8/H/75T+jcOXRU2enzz31S3aGDf89uvHHoiMLYfns/F95DD8Hw4b4lM5OpW2YWGzVKhQFERNaUumVKzDvv+HFk22zj5wnL9iRmyRI/tu6LL2DCBD/BtISxaBEcfLAvmnLNNZCj5hy++gqOPho22QTGj4cNNggd0dpTt0xJSOXmRUTWnFqWJWaHHeDll6GgAHbdFcrLQ0cUzhNPQK9esMce8MILSuxCmjvXd0c880y47joldjEdO/piMu3a+ekSvvgidEStQy13WUzfPouINF9V1SKKi8dSXV1Hfn4OZWVFdO/eLXRYkiKee863Wh1/PFx9NbRvv27OG7oiYW0tXHghPPOMr0rYt2+rn1IaMX06DBoEt97q34uyqro6P3n71KkwbRp07Ro6ojXXWMvd+us6GBERkXRTVbWIgQPHUFlZCuQCtcyeXUJ5+XAleAL4sU1z58If/wh77gkPPAA77tj65102fz6jZs5cZf2o1j81c+b4+f/22MNfe8eO6+CksloPPlg/zrFfv9DRpK6cHBg9GvLzfQvn1Kmw886ho0oeJXciIpKxzBJ+sbkWegBz8YkdQC6VlaVss00v4P2knEE9U9Jf587+xvq++6Cw0FfoO+cc31Mmk6xY4W+O//IXuOkm+N3vQkcksb/Fv/4FO+0UOpr0MGIE5OXBgAEwcaL/N5sJlNwl2dVX+0e66NAhdASNa9cO3nsPNt00dCSyLqnYjyRLshKm/v1LqKjIbbA2l/79T2L6dA1glnpmfh68/fbzrVpTp/pkr0uX0JElx+LFcPLJfljHq69CNzVcB1VXByNH+oniX3wRttoqdETp5cQTYbPN4IQTYMwYv5zulNwl2ccf+5vSM84IHUnTrr4aLrssdBSN22EH+PZbJXfZprRUyZ2klvz8HKCW+pY7gFry8lSpQBLr0cMXFikrg1//Gu66C37729BRtczDD/tS8iNG+DFL660XOiIpKvKVMf/9b18FUtZc//5+zOxhh/l7zqFDQ0fUMkruWkG7dqnfIgbp0cKoCk8ikgrKyoqYPbtkpTF3BQUllJUNDxyZpLI2beDKK31lvpNP9q14f/kLbLhh6MjWzNdf+6TupZf8Ney+e+iIJOahh/x8dhttFDqS9LbLLnDbbb71TsmdiIhIhuvevRv33ns0p556CkuX5tKpUy333nuBiqlIs/Tt6wuOnHMO9O7ti6307p2cY7fv2TNh8ZT2PXsm5fizZsGQIb5gzBtvQG7D3skSXLt2oSPIDJnyOiq5ExERaUJV1SJOPnkiH354P5DL0qW1nHzyZVRUbKkET5qlY0c/VcCDD/rxeBMmwJFHtvy4rTndwQMP+Oqf48bBUUe12mlEJImU3IlkiS+/9N1qfvopdCTNkw6DmocO9d2tJPOdf/4tfPjh1cRXy/zww6s5//xRTJ58Q8jQJI189pmvytejBxx5VOqX0Dwp9pjoKCyETp0CByQiTVJyJ5IlPvoIZs705atT3YoVcMwxoaNo3OOPQ0WFkrtsMXv2J6xcTAUgl5df/iREOJKGnn3WT3J+0kl+nBTt0mPqi+++g00ugl694P77faujiKQuJXciWaRTp/RoEUuHGCsrfVUtyRbfkqhapl8vsnrLlsGll8Ijj8A//uHHrqWTDTeEW2+FQw7x/zefdpqvZtymTejIRCQR1SIUERFpws47/xIoxid0RD+L2WmnX4YLSlLevHnQp4+fG27u3PRL7OIdfri/hjfegL33hvnzQ0ckIokouRMREWlChw4bAt8A1wIl0c9vovUiK3MObr7Zz591/vnwz39C586ho2q5zTeHp56CU0/1Cd7dd/trFZHUoeRORESkCV99tTFwOfWjGdYHLufrrzcOF5SkpCVL4NBDfTXMl17y3Rgt9WunNJuZn9Jh5ky45RY/Pvqzz0JHJSIxSu5awTffhI4gM/zwg3+IiISWn58DbIpvtSuNfm5KXp4+RqXeE0/4wiN77AEvvOCrYmaqHXeEV16BggJ/zeXloSMSEVByl3RHH10/u/0nKqK2VpyDKVNgp538WIX8/NARiUi2KysroqCghPgxdwUFJZSVFQWLSVJHbS2ccQacd54vnHLlldlRcKRdO1+BeexYXwn0ggt8ARkRCUfJXZLtvz/897+wySb+W63Ro+HHH0NHlT7++1/fnWXkSJ8kT56cHR+QIpLaunfvRnn5cAYPHk3//iUMHjya8vLhmsBcmDMHdtvNJ3hz50LfvqEjWvcOOAD+8x9YtAj23BPefjt0RCLZS8ldK+jY0Sd1L74I06fDzjvD00+Hjiq1ffUVXHgh7LsvDBwIb74JBx8cOioRkXrdu3dj/PgSpk8vZfz4EiV2WW7FCrjuOj9FwKhRMG6c//zPVp07+1bL886DwkL/Ba2KrYise0ruWtGvfgVTp8Jf/+r/szv8cFiwIHRUqaWuDu65B7bbzid48+b5bh1t24aOTEREJLHFi2HAAP8Z/9prMGhQ6IhSg5kvIPPSSzB+vO+Js2RJ6KhEsouSu3XgsMN80tKvH+y1F1x8MXz9deiowps1y4+pu/deP8bu73/3ZZZFRERS1cMP+26YBx/se+d07Ro6otTTo4cvKLPHHvDrX8OTT4aOSCR7KLlbR9q2hYsu8knep5/6lqqxY33LVbaproYhQ+CEE2DECP8BsNtuoaMSERFZva+/9vO7XXGFb7G75BJYb73QUaWuNm18YZl//hPOPRfOPBO++y50VCKZr8nkzszuMbNPzOzNuHW7mNksM/uPmU02sw7R+m5m9p2ZvR49bot7Tm8ze9PM5pvZjXHr25rZQ2a2wMxeMrOM/g6sSxe47z6YNAnuuMO35L38cuio1o1ly+Caa2DXXaFbN188ZfDgzJr/R0REMs+sWb7cf/v28PrrsPvuoSNKH337+kIz334LvXv7109EWs/6Te/CfcAY4P64dX8HLnDOvWBmRcDFwBXRtvedc70THOd2YKhz7lUzm2pmBznnngGGAl8457Y1sxOB64GM773ep4//sBg/3k8AesABcO21sMUWrXvea4cNY9n8+ausb9+zJ5fcdVernNM5P/fPBRfALrv4eXG22aZVTiUiIpJUM2f6niZ33QVHHhk6mvTUsaMvOPPgg3DQQb7InBJkkdbRZHIXJXANS4Jt65x7Ifr9OeAZ6pO7VdphzKwLsJFz7tVo1f3AUdHzjsTPBgvwCHDLGl1BGsvJgVNO8XPjXXWVr6p58cW++Eq7dq1zzmXz5zNq5sxV1o9qndPxzjtw/vm+K+add/okVsLYcEP/d5g7138DLWvvm2/g+eezs+S5SLapqvIVMZXYtdzvfucrai5apOROpLWs7Zi7t83siOj3E4At47ZtHXXJnGFmsVuffOCjuH0+itbFti0GcM6tAJaa2S/WMq60tNFGvtVu9mw//mynnfzg43QuIbx0qU/q+vXzBWXmzlViF1pBAdxyi59q4pZb0vv9FdLrr/uuRVtt5VujRURERFJFc7plJnIaMMbMioEngNg03R8DXZ1zX5pZb2CSme2whsdudARWUVERW2+9NQCdOnWiV69eFBYWAlBRUQGQtssffVTBBRfADz8Uct55UFZWwTnnwCmnJO98C5cuJaYi+lkYW07C8VesgMrKQq64Avr0qeDuu+Goo5IXv5ZbtpyXB7NmFTJoEDz0UAUXXwxHHJE68aXy8owZFTz6KDz8cCFjxkCXLhW88krqxKdlLWu59ZaXLKmgoiJ14kn35XnzKujcOXXiSfflmTMraNMmdeJJ12VIrXjil+fOncvS6B5+4cKFNMZcM76+j7plPumc2yXBtm2Bcc653yTYNgO4EKgBZjjnto/WDwL6OefONLNpQIlz7mUzWw/42Dm32WricM2JNxP89JNvXbn6at91889/hg02aPlxRxUWJu6W2a8fo35+c6+dV16BM86A3Fy4+WZf/lhS0w8/+Epvjz0GDzwA++wTOqLU9vnn8Pvfw8cfw0MP+VZQEckOY8dCRYX/KS137LFw0kn+p7Rc27a+WE3btqEjSX/PPgujR/ufqc7McM4lbBDLae4xiGtRM7NfRj9zgMuBO6LlTaN1mNk2QA/gA+fcEuArM+tjZgacAkyODvcEcGr0+/HA9DW4tozVpg0UFfl5dO65BzbY0HxZyZY+EiR2gF/fwmP32dN4/Q1j5EiN6Up17drB3/4Gt97qP2CvugpWrAgdVWp6/nn/RUXPnvDii0rsREREJHU12S3TzB7At1N2NrMP8cVPNjKzswEHPOacGxvtvh9wpZn9CNQBf3TOxfoBng2MBdoDU51z06L19wDjzGwB8DlZUCmzKStW+Am9r7jCF1tZsAD4ZXJaLNsPG8ao1VTLJAnVMp95Bi45H267DW68EbbfvsWHlFZ0+OHw2mt+SooZM3w1s9au2JouVqzwSe9tt8G998Khh4aOSERERKRxzamWedJqNt2cYN/HgMdWc5w5wM4J1v+AL8oiwL//7Sf77NABpk1LftfG1pruIOagg+DNN32X0v32g5NP9klqp06telppgS23hOnToazMFwq57z7fYpzNamrq52B8/XXIywsdkYiIiEjTmtstU1rZ4sUwaJC/ofzTn+q7gqWjNm1gxAh4+21fMn677XxLpLr9pa711oNRo/wcRKef7qfk+PHHJp+WkaZO9Unu/vtDebkSOxEREUkfa1stU5Lk++/hhhvgppvg7LP9+Lrc3NBRJcdmm8Hdd8OcOb418vbbfaEVFe9IXYWF8MYbfrznvvv6ZC9bJpz/8Ue47DKYOBH++U9//SIiTz7pi0/Nmxc6kszw/vu+UJyItI5mVctMFZlULdM5ePRRGDnST+Q5ejREMzxkJOd8onDxxX7uu+uvh/z8pp8nYTjnx0xec40vunL88aEjal2Vlb7lPC/Pj6/r3Dl0RCKSKt57zw836N49dCRNu+suGDYsdBSNM4NddvG9fKTlzKC0VNUyk2H+fPjoo/SvlqnkLoC33oLzzoNPP1fCvcIAACAASURBVPUtdvvvHzqidefbb33CcMcdfgLoCy+E9u1DRyWr89prPukZMMBX19xww9ARJd/DD8Pw4XD55f6nNTrTpohI6jLzX85J9jDz91Lrp3hfvBdegL59Q0fRtN/8Bo46KnQUTVNylyK++MIXF5k4EUpK4I9/TP1/jK3lgw/8f0Zvvgl/+QsceaRuqlPV11/7+QvffNMnQjvuGDqi5PjuO/8ly8yZfu663r1DRyQi0jJK7iRV6b2ZXMmY505aYPlyX059u+38G/vdd/34umxN7MCP43r8cbjzTvi//4MDD4R33gkdlSSy8cYwYYJvaS0s9MVx0v0/6HnzYI89/JjXOXOU2ImIiEhmUMtdK6uo8MVEOnf2XTB3+X/27jxMrqLe//j7k4Q1BMIOiRDCALIoBEQuP1AWWURUVEREjSGC4sJF71XEjXES5iqKqHhR8KpAWAKIIIKyGZDIIpsioIICYZJAAkEgIZCwhfn+/qhq5qSZpTNLevu8nqef9Dl1lurMt6tP1alTtWO1c1R7XnklDbbS3g4f/WgatXHddaudK+vOAw/Ahz8M22+fKubrrDN4x/7OMcfwYg9zMA7WFB4RaZCfb3wjPec6aZLvGJtZ4/DdEatVjs3B1duduya+dzS05sxJg6XcdVe6iPzgB30R2ZNVVkkV4I98BFpb08TnU6fCJz+Zhui32rHddnDHHalL7S67pO6Mb33r4Bz7xQcfZMof//i69VMG5/AsWpQGGvjXv9J8kttuO0gHNjMzM6sR7pY5yJYuTXeedtkF3vzmdKfjsMNcsavEhhumgVauvTZ1A9x113QRbrVljTVSN+NTToF3vzuNLlnrHn44fSc32ihVTl2xM7NG1NZW7RyYWbX5zt0ga29Pd+v++lfYfPNq56Y+TZiQBrm45BI4+OB0Yb7xxtXOlZV76aXUxeKoowVHD+GJ/vjHAbeObAU8AnzqpaCzc1ByZWZWc6ZMqXYOzLrnhoeVx3fuBtnzz6eRH12xGxgpPdu1/vpp0AurHUuWwNFHp66zM2aQaniD8dp77+5PuPfeg3L85xYHL7yQupF6MmIzM7OVxw0PK48rd2ZWsfvuS91lly1Lo0xOmFDtHFVu1Cg4/3w44QTYd9802a8f7jYzM7NG4m6ZZtaniPQ85De/meYlnDRp8M+x+jbbdDt4yurbbDNo55DgyCPhP/4j3Rm+/vpUyRs9etBOYWZmZlY1rtyZWa8WLoRPfQpmzYJbb4VBrGstZ7CmO6jEttumgVWOPz4NtHLRRanCZ2ZmZlbP3C3TzHp0222w884wdizcfvvQVeyqYfXV4cc/TlOVvPe9afRPD7ZiZvXMzzWZmSt3ZvY6nZ3wne/A+98PP/pReq22WrVzNTQOPTSNcHvFFWl01iefrHaOzMz6Z+rUaufArHtueFh5XLkzs+U88QQcdBBcdRX8+c9p9NdGN25cmnHhLW9JdypvuKHaOTIzM2scbnhYeVy5M7PX/P736Rm03XeHG2+EzTardo5WnhEj4FvfgnPPTQPGnHhiGhXUzMzMrF64cmdmvPIKfO1rcNRRMH06nHRSquw0o/33h7vvTl0199kH5s6tdo7MzMzMKuPKnVmTmz0b9toL7r03VWr23bfaOaq+jTeGa66BQw5Jk55ffnm1c2RmZmbWN1fuzJrYZZfBbrvBYYfB734HG21U7RzVjmHD0oTnV1wBX/wi/Od/wosvVjtXZmY9a2urdg7MrNpcuTNrQi+8AJ/9bKq8/O538KUvpcqMvd7uu8Nf/woLFqT3//pXtXNkZtY9j0hotcoNDyuPL+fMmswDD6QJuxcuTN0wd9ut2jmqfaNHwyWXpArx296WBl2x5tPRMYeJE6ey775tTJw4lY6OOdXOkplZXXDDw8rTpEMmmDWns8+Gr3wFTj4Zjj4apGrnqH5I8OlPwx57wIc/DNdfD2ecAaNGVTtntjJ0dMzhgANOZ9asqcBIYAm3397GjBnHMX78uGpnz8zMDPCdO7Om8dBD8OUvw8yZ8MlPumLXX29+cxpJc+FC+OEPq50bW1laW6cVKnYAI5k1ayqtrdOqmCszs8EnqW5e9nq+c2fWJF58EcaMgR12qHZO6t/IkekO3vPPVzsntrLMm9dJV8WuZCTz53dWIztmZkMmIqqdBRsA37kzMzPrw9ixw4AlZWuXMGaMf0atdvi5Jqs1flZ55fOdu0H2/PPw1FPpZQP36qvVzoGZGbS3T+b229uWe+aupaWN9vbjqpwzsy5Tp7qCZ7XDzypXhyt3g2zatPTvT35S1WxUZOlSWHPNaueid6ut5gErzKz6xo8fx4wZx9Haeirz53cyZsww2tt9gWJm1pOen1U+lQsu8NwIQ8WVu0FWT92UpVTBMzOzvo0fP84XJGZmFfKzytXhhwXMzMzMzGxQ+Vnl6vD/rpmZmZmZDar29sm0tLTRVcErPas8uWp5agbulmlmZmbWANrca9hqiJ9Vrg5X7szMzMwagEfKtFrjZ5VXPnfLbGJu4TMzMzMzaxyu3DUxt/CZmZmZmTUOV+7MzMzMzMwagCt3ZmZmZmZmDcCVOzMzM7MG4MctzMyVOzMzM7MGMHVqtXNgZtXmyl0TcwufmZmZmVnjcOWuibmFz8zMzMyGSkfHHCZOnMq++7YxceJUOjrmVDtLDc+TmJuZmZnVsY6OObS2TgM6mThxGO3tkxk/flyVc2XNrqNjDgcccDqzZk0FRgJLuP32NmbMOM7xOYR8587MzMysTpUuoKdPPx6YyvTpx3PAAaf7DolVXWvrtELFDmAks2ZNzQ0RNlRcuTMzMzOrU76Atlo1b14nXXFZMpL58zurkZ2m4cqdmZmZ2UomaVBe06dfT3cX0NOnXz9o5zDrj7FjhwFLytYuYcwYVz+Gkv93m1hbW7VzYGZm1pwiYlBeH/vY/nR3Af2xj+0/aOcw64/29sm0tLTRFZ9LaGlpo719ctXy1AxUT19aSVFP+TWrJTfdBHvvDeeeW+2cNIYrr4RttoFvf7vaOTGzZtbdoBUtLR60wmrDTTfdypFH/oBFi0YyevQSzj33i+y1157Vzlbdk0REdHtb3aNlmjWJVVZJ/15/fXXzUYl774Wddqp2Lnq35pqw337VzoWZNbvx48cxY8ZxtLaeyvz5nYwZM4z2dlfsrPo6OuZw1FGXM3v2ecBIFi1awlFHtTFjxhscn0PIlTuzJvH//h/Uy41vKVXwzMyscvVSxltz6Hmwn1O54AI/GzRUXLkzMzMzq1OeS8xqlUfLrI4+B1SRdJakBZLuK6zbUdKfJN0r6QpJaxXSvibpIUkPSDqwsH4XSfdJelDSaYX1q0q6OO9zm6TNB/MDmpmZmTWqdHfkaOBUoA04lVmzjvZUCFZ1Hi2zOir53z0HeGfZul8AJ0TETsDlwAkAkrYHDge2A94FnKGuMXTPBI6OiG2AbSSVjnk08ExEbA2cBpwygM9jK2DKlGrnwMzMzAbi4YcXAmcBaRLz9O9ZzJq1sKr5MvNomdVR0WiZksYBv42IHfPywohYN79/A3BdROwg6atARMR3c9o1wBRgDvCHiNg+rz8C2DsiPivpWqAtIu6QNBx4IiI27CEfHi1zEEnun2+1ybFpZlaZ8eM/+NqAFV2WsMUWk+jouKxa2TIDUrfh1tZphcF+Jru78CAYitEy/yHpkIi4knSn7g15/VjgtsJ28/K6ZcBjhfWP5fWlfR4FiIhXJS2StF5EPNPPvJlZnfMcjGZmldlkk62YPfspUrfMTlKnrMlssklLdTNmRhrN1YOnrFz9rdwdBZwuqRW4Enh58LJEt7XQksmTJ7PFFlsAMHr0aCZMmMA+++wDwMyZMwG8XOEyzGTmzNrJj5e9XFqeMqW28uNlL3vZy7W6vPHGL5O6Yh5FeiJmCTCZ4cO7uj/UUn697GUvr/jyPffcw6JFiwCYPXs2velXt8yytK2B8yNi9266ZV5Lerp3DnBjRGyX1/fWLfPxiNioh3y4W+Ygctc3MzOz+va+932ZK6+cQnm3zEMOmcIVV3yvSrkys6HUW7fMYZUeg8IdNUkb5n+HAScCP81JVwJH5BEwxwNbAXdGxBPAs5J2ywOsTAKuKOxzZH7/IeAPFX8yMzMzsya2ePGadDfc/HPPrVmN7Jgtp6NjDhMnTmXffduYOHEqHR1zqp2lhtdnt0xJFwL7AOtLmku6EzdK0rFAAL+OiGkAEXG/pEuA+4FXgM8VbrUdC0wDVgeujohr8/qzgPMlPQQ8DRwxOB/N+uLnmszMzOpb13Dzy9+583DzVm2eg7E6KuqWWSvcLdPMzMysS3cX0C0tvoC26ps4cSrTpx9PecPDxz52qgdZGaChGC3TzGzITJnieRjNzCoxfvw4Zsw4jtbWUwvDzbtiZ9U3b14n3XUZnj+/sxrZaRqu3JlZzZk61ZU7M7NKebh5q0XuMlwd7pZZJ9I4NPWhWf9GNng8kquZmVl9c5fhodNbt0xX7sys5rhyZ2ZmVv86OubQ2jqt0GV4sit2g8CVO1tO6Ys2b14nY8f6i2a1x5U7MzMzs+65cmev8S1yqweu3JmZmZl1bzAmMbcG0do6jVmzjgZOJU1ZeCqzZh1Na+u06mbMrMBzMJqZmZmtOI+W2WQefnghad74rjt30MasWcuqmi+zIo+UaWZmZrbifOeuySxY8ChdFTvyv1N54olHq5cpMzMzMzMbMFfumswmm2xFdxNKbrJJSzWyY2ZmZmZmg8SVuybT0rImqStm0RJaWsorfGZmZmZmVk9cuWsy7e2TaWlpo6uCl0bLbG+fXLU8mZmZmZnZwHkqhCbkCSWt1k2Z4kFVzMzMzLrjee7MrK54njszMzOz7nmeOzMzMzMzswbnyp2ZmZmZmVkDcOXOzMzMzMysAbhyZ2ZmZmZm1gBcuTOzmtPWVu0cmJmZmdUfj5ZpZmZmZmZWJzxappmZmZmZWYNz5c7MzMzMzKwBuHJnZmZmZmbWAFy5MzMzMzMzawCu3JlZzZkypdo5MDMzM6s/Hi3TzAZE6nawpgHYCtgEeAJ4eFCP7PLDzMzM6p1HyzSzIRMRg/J65JHZtLR8CbgHuBm4h5aWL/HII7MH7RxmZmZmjcyVOzOrCa2t05g1ayowMq8ZyaxZU2ltnVbFXJmZmVl/dXTMYeLEqey7bxsTJ06lo2NOtbPU8EZUOwNmZgDz5nXSVbErGcn8+Z3VyI6ZmZkNQEfHHA444PRCw+0Sbr+9jRkzjmP8+HHVzl7D8p07M6sJY8cOAx4ApgJt+d8HGDPGxZSZmVm9cY+c6vCduybU0TGH1tZpzJvXydixw2hvn+wWFKu6Y47Zn1/+8rssW/YTSi18I0YcyzHHfKraWTMzM7MV5B451eHKXZPxLXKrVT/72fWFih3ASJYt+wk/+9mp7LXXntXMmpmZma2g1CNnCctX8Ja4R84Q8/9uk/EtcqtVbuEzMzNrHO3tk2lpaSNV8ACW0NLSRnv75KrlqRn4zl2T8QW01Sq38JmZmTWO8ePHMWPGcbS2nsr8+Z2MGTOM9nb3FBtqrtw1GV9AW61qb5/M7be3LddlOLXwHVflnJmZmVl/jB8/jgsuaKt2NpqK6mliX0lRT/mtRd09c9fS4mfurDaUBvvpauHzYD9mZmZmRZKICHWbVk+VJVfuBocvoM3MzMzM6pMrd2ZWFzxNh5nZinPZadZcXLkzs5rnLsNmZivOZadZ8+mtcudRNMysJniaDjOzFeey08yKXLkzs5rgaTrMzFacy04zK3LlzsxqQtc0HUWepsPMrDcuO82syN/8JtTRMYeJE6ey775tTJw4lY6OOdXOkhnHHLM/I0YcS9dFyhJGjDiWY47Zv5rZMjOrae3tk2lpaaNYdqY5QidXLU9mVj0eUKXJ+MFrq1UTJ05l+vTDgUuATlLb0+F87GOXeAJUM7NeeIojs+bS24AqI1Z2Zqy6en7w+lRfQFtVpedGtgOWj0M/N2Jm1rvx48f5N9zMAHfLbDp+8NpqlZ8bMTMzMxsYXzU1GV9AW63ycyNmZmZmA+Nn7pqMn7mzWubnRszMzMx619szd67cNaGbbrqVI4/8AYsWjWT06CWce+4X2WuvPaudLTMzMzMz64Mrd/Ya37kzMzMzM6tfvVXu/KBVk+l5tMxpVcyVmZmZmZkNVJ+VO0lnSVog6b7Cup0k3Sbpr5LulLRrXj9O0lJJd+fXGYV9dpF0n6QHJZ1WWL+qpIslPZSPuflgf0jr4tEyzczMzMwaUyV37s4B3lm27hSgLSJ2Jk1K9b1C2sMRsUt+fa6w/kzg6IjYBthGUumYRwPPRMTWwGn52DZEPFqmmZmZmVlj6vOKPiJuARaWre4E1snvRwPzCmmv6/8paRNgVETclVedB7w/v38fcG5+fymwX0U5t37xcPNmZmZmZo1pRD/3+2/gOknfJ1Xm9iikbSHpbuBZoDVXDscCjxW2eSyvI//7KEBEvCppkaT1IuKZfubNejF+/DhmzDiO1tZTC8PNezAVMzMzM7N619/K3WeBL0TEbyQdBpwNHAA8DmweEQsl7QL8RtL2K3jsbkd+KZk8eTJbbLEFAKNHj2bChAnss88+AMycORPAyxUsX3BB22vLpYpdLeXPy172spe97GUve9nLXvbyTO655x4WLVoEwOzZs+lNRVMhSBoH/DYidszLiyJidCH92YhYp5v9bgS+BMwHboyI7fL6I4C9I+Kzkq4lPb93h6ThwOMRsVEP+fBUCGZmZmZm1rQGYyoEsfwdtXmS9s4H3w94ML/fQNKw/H5LYCvgkYh4AnhW0m6SBEwCrsjHuhI4Mr//EPCHij+ZmZmZmZmZARV0y5R0IbAPsL6kuaTRMT8F/G++0/YicEzefC/gJEkvkwZd+XRELMppxwLTgNWBqyPi2rz+LOB8SQ8BTwNHDMLnMjMzMzMzayoVdcusFe6WaWZmZmZmzWwwumWamZmZmZlZDXPlzszMzMzMrAG4cmdmZmZmZtYAXLkzMzMzMzNrAP2dxNzMbNB1dMyhtXUa8+Z1MnbsMNrbJzN+/LhqZ8vMzMysLni0TDOrCR0dczjggNOZNWsqMBJYQktLGzNmHOcKnpmZmVnm0TLNrOa1tk4rVOwARjJr1lRaW6dVMVdmZmZm9cOVOzOrCfPmddJVsSsZyfz5ndXIjpmZmVndceXOzGrC2LHDgCVla5cwZoyLKTMzM7NK+KrJzGpCe/tkWlra6KrgpWfu2tsnVy1PZmZmZvXEA6qYWc0ojZY5f34nY8Z4tEwzMzOzcr0NqOLKnZmZmZmZWZ3waJlmZmZmZmYNzpU7MzMzMzOzBuDKnZmZmZmZWQNw5c7MzMzMzKwBuHJnZmZmZmbWAFy5MzMzMzMzawCu3JmZmZmZmTUAV+7MzMzMzMwagCt3ZmZmZmZmDcCVOzMzMzMzswbgyp2ZmZmZmVkDcOXOzMzMzMysAbhyZ2ZmZmZm1gBcuTMzMzMzM2sArtyZmZmZmZk1AFfuzMzMzMzMGoArd2ZmZmZmZg3AlTszMzMzM7MG4MqdmZmZmZlZA3DlzszMzMzMrAG4cmdmZmZmZtYAXLkzMzMzMzNrAK7cmZmZmZmZNQBX7szMzMzMzBqAK3dmZmZmZmYNwJU7MzMzMzOzBuDKnZmZmZmZWQNw5c7MzMzMzKwBuHJnZmZmZmbWAFy5MzMzMzMzawCu3JmZmZmZmTUAV+7MzMzMzMwagCt3ZmZmZmZmDcCVOzMzMzMzswbgyp2ZmZmZmVkDcOXOzMzMzMysAbhyZ2ZmZmZm1gBcuTMzMzMzM2sArtyZmZmZmZk1gD4rd5LOkrRA0n2FdTtJuk3SXyXdKWnXQtrXJD0k6QFJBxbW7yLpPkkPSjqtsH5VSRfnfW6TtPlgfkDr2cyZM6udBbNuOTatljk+rVY5Nq1WOTZXnkru3J0DvLNs3SlAW0TsDLQB3wOQtD1wOLAd8C7gDEnK+5wJHB0R2wDbSCod82jgmYjYGjgtH9tWAn/RrFY5Nq2WOT6tVjk2rVY5NleePit3EXELsLBsdSewTn4/GpiX3x8CXBwRyyJiNvAQsJukTYBREXFX3u484P35/fuAc/P7S4H9+vE5zMzMzMzMmtqIfu7338B1kr4PCNgjrx8L3FbYbl5etwx4rLD+sby+tM+jABHxqqRFktaLiGf6mTczMzMzM7Omo4joeyNpHPDbiNgxL/8IuDEifiPpMODTEXGApNOB2yLiwrzdL4CrgTnAyRFxYF7/NuCEiDhE0t+Ad0bE/Jz2MLBbd5U7SX1n1szMzMzMrIFFhLpb3987d0dGxBfygS/NlThId+o2K2z3hryup/XFfeZLGg6s3dNdu54+hJmZmZmZWbOrdCoE5VfJPEl7A0jaj/RsHcCVwBF5BMzxwFbAnRHxBPCspN3yACuTgCsK+xyZ338I+EO/P42ZmZmZmVmT6vPOnaQLgX2A9SXNJY2O+Sngf/OdtheBYwAi4n5JlwD3A68An4uufp/HAtOA1YGrI+LavP4s4HxJDwFPA0cMzkczMzMzMzNrHhU9c2dmZmZmZma1rdJumdYNSX+XtFe189FoJN0o6ahq58P65u+ADVSzxJCkcZI6JQ3Ly1dL+ngF+71N0gO9pJ8j6aTBzKutuGaJY6t9jkXr74AqBkTEm6qdB7Nq8nfABqrJYui1rjIRcXBFO6S5ZrcbshzZoGiyOLYa5ljsXR4z5IKI2KzPjeuU79zVuPxcY03Lg+RYDauHOOpNveffqsvxY43AcWy1os5jURQa2hqRK3cDIKlD0jsktUm6RNL5khZLulfS1pK+KmmBpDmSDijsd6Okb0u6Q9Kzki6XNDqnlbruHCVpDnBDXn9IvtX+jKQ/SNo2rz9B0q/K8vUjSafl92tL+oWk+ZIeldTeV2VM0jBJ35f0b0mzJB1b1p3oRkn/I+kWSUuA8fk8Z/V0nvx57pf0tKRrJG1eSDtA0gOSFua5EpXXr5K336Gw7YaSlkhav59/tqaR4/MESfcCz0vaTNJlkp7Mf9fjCtu2SfqVpItzDP9Z0o4VnuMdhWM00vfgSEk3S/pePt8sSQeV5f+k/D1YLOlaSev1/ZexIjV2OXqqUjn6MPDusvQbc/5WzWXf9oW0DSQtzf/uLenRQtrOkv6SP/PFpEHKisd9j6S/5mPeIunNK/QHsX5p4Dh2OVhnGjwWb5H0g1y+PSzp/+X1cyU9IWlSYfuDJf0jf/ZHJX1R0pqk+bfHSHoup20ySP/1tSMi/OrnC+gA3kEaQXQpsD+pwnwu8AjwNWA48EngkcJ+NwKPkrrarAFcCpyf08YBnaSRRdcAVgO2Bp7P5xoOfJk0/cQIYPOcNjLvPwyYD7w1L18OnEG6ANgAuB34VB+f6zPA34FNgXWAGcCrwLBC/mcD2+bzjejtPMD7gAeBbfL2XwduzWkbAIuBD+TP9l+kkVaPyuk/Bk4u5O3zwBXV/tvXwyvH593AmBxLfwa+kf+ftwAeBg7I27YBLxX+Dl/KMTy8ku9A4RiN9D04Mv+fHEVqcPgMMK8s/w8BLTl/NwLfrvbfvd5eNHY5ej/p+zeaNM1PeTlaKud+AbQX9v0caVRpgL2Bufn9KqSy9/P5M3wQeBk4KafvDCwAds0x+/H8/7tKtf/Ojf5q4Dh2OVhnrwaPxZdJ06kJaAfmAKeTysYDSNeTa+bt5wN75PfrABPy+9fK1EZ9VT0D9fwq+wJdV1j/nhxgpdFI18pfirXz8nKFX/4ivZSDdRzpAmBcIf1E4OLCsoDHgL3y8k3AxPz+AOCh/H5j0lQVqxX2PQL4Qx+f64bilwzYj9dflEwppG/Uw3luyO+vBj5RSBsGLCFNXv9x4E9l53+Uroue3YA5hbS7gMOq/bevh1eOzyPz+/8AZpelfxU4K79vK/4dcozNB/as5DtQOEYjfQ+OBB4sLK+R879RIf9fL6R/lnxB7tcKx2mjlqPHFJYPoOfK3X7Aw4VtbynkpVi52wt4rOw8t9JVuTsDmFqW/k/g7dX+Ozf6q4Hj2OVgnb0aPBb/VVh+U87TBoV1TwE75vezSVO3jSo7TsNX7jygyuBZUHj/AvBU5CjKy5C+SIvz+0cL288htTpsUFj3WOH9mLwNABERuZvO2LzqIuAjwAX53wvz+s3zcR/Pd7tLk9HP7eOzjCnL36PdbFNcN66P84wDfiTp+3m51N95bDfnWu7YEXGnUjfMvYEnSK2DV/aRf+tSiqPNgbGSnsnLIlWybypsW/x/D0mPkf4+K6KRvgeQYq50vhfy/msBT5ank1pI16rgmNazRoqf8rJtTk8bki6q1pD0VlJs7URq2S63KTCvbF3xuOOASerqcq2c9xX9HtvANFIcg8vBetZosVj+eYiIp8rWleLvg0Ar8F2lx1O+FhG3V3COuufKXfUUR+kZR7rV/BQp6GH5hz3nk1ooyvcv/cj/CjhV0lhSt7rd8/pHSa0j6xe+zJV4HHhDYXnzbrYpHq+v88wF/iciLipPkLRNN8cvH8HoXNIdvieASyPi5d6zbwWlv8ejpO4Xb+xl29f+33Pf9zeQYm8o1fL3wGpfLcfP493kr1sR0SnpEuCjpIuX30XEkh6OObZs3eakLtalvH4rIk5egXxa9dVyHFtzaZhYjIi/AO9XGvzlOOAS0udo+Pj3gCrVM1HStvnhzqnArwpBXv5Q6SXAuyXtK2mEpONJX4w/wWutFn8EziFdwP8rr38C+D3wQ0mjlGypvuc/uQT4gqQx+WHaE3rbuILz/B/wdeUBAyStI+mwnHYVsL2k90saLukLpFv2RdNJBcPHgPP6yLt1707gufyQ8+r5/3oHSbsWtnlL6e8A/Dcpxoa6lauWvwdW+2o5fi4BPi9prKR1ga/0sf1FwIdJFbwLe9jmNmCZpOPyZziU1HW95OfAZyTtBiBpZB5UYGQf57bqquU4tuZSb7HY7SAsSgPymCVnpQAAIABJREFUfVTS2hHxKvAcqQsnpAa09SWt3Y/z1QVX7gZmRWr/5dueT7ojNR9YFfhCT9tGxIPARNLgIv8mjbr23ohYVtjsQtJzG9PLzjMpH/9+4BlSS0pfIwP9nPTFuw/4C6kCtiwiOnv4LL2eJyJ+A3wHuFjSonzcg3La08CHgO+SWodaSM+QFD//Y6SBQSLSnE9Wmdf+Tvlv9x5gAqk//pOkv3OxcLuCdHG5kFSR/kAuFCs6x4rmKavl70Ff+W/41r+VpJHL0euAe0mDGV3W22eJiDtJzyJvClzT3QEj4hXgUOATQKnsvKyQ/hfSMyY/zl2wHyQ9p2JDr1HjuK/8uxysPc0ai+XLHwc68nXnMaTrGnIl8yLgEaVRPhtutEyF786vdJJuJI1AdHa181IJpWGPz4yI8VXMw1mkEbq+Wa08NDJJbUBLREzqc+PBO2ddfQ+stjh+rBE4jq1WOBYbh5+5s9eRtDqwL+nu3SakEZd+XcX8bEHqlrlztfJgZmZmZlbr3C2zOqp+u1TSmeqawHFx4f0ZpD7MU0m3yv8C/INUwatGPk8ideM8JSJ6G23OhoDSxOfFOCnGyhv6PkKvav17YLXN8WONwHFstcKx2CDcLdPMzMzMzKwB+M6dmZmZmZlZA3DlzszMzMzMrAG4cleHJI2TdFUewnW+pNMlDSukHy7pfknPSvq7pPdVM7/WHCRtLekFSecV1q0i6VeSOiR1ls9jozTn4TRJCyQ9kUftNOsXScdKukvSi5LOLkvbLqc9I+lpSb+XtF0h/eqyZz1eknRvIX22pKWF9GtX5mezxtbb73pfsWs21JTmvrtB0iJJD0p6fw/bfTP/1r9jZefRurhyV5/OIM1TtjFp3rK9gc8BSBpDmqfkvyJiHdIE5BdK2qBKebXm8WPSZOnlbibNL/N4N2mnAWsAmwP/AXxckuflsv6aB7QDZ/WQdnhErAdsAPwWuLiUGBEHR8SoiFg7ItYmTcR7SWH/AN5dSo+Ig4bsU1gz6vF3nTTnWI+xazaUJA0nzYN7JbAu8GngAklblW23JXAYKV6tily5q09bAL+MiFci4kngWmCHnPYGYGFE/B4gIq4mTYzb0t2BJN0oqV3SrbnV+gpJ60m6IN/5u0PS5oXtf5jvsjwr6V5J2w/lB7X6IOkI0uTnNxTX5xj934j4E9DZza7vIY2E+lIeDfUs4KgezjEutwhOljQ3t2B/WtKuORafkXR6YfsWSTNzS+OTki4atA9sNSkifhMRV5JG+i1PWxwRHXlxOCkeeyoXtwDeTmooWy6pknxIapN0iaTz812+e/Od7a/m8nOOpP0L20+WNCtvO0vSRyo5jzWULejhdz0inq00dsG/6zbotgU2jYgfRXIjcCtpkvCin5BuKLzS28Ecn0PPlbv6dBpwhKQ1JI0F3gVck9P+DDwg6T2ShuVb5y+SphPoyYdJd1bGAFuRWqzPIrXQ/JM8DYKkA4G3AVvlu4KHA08P9oez+iJpbdLUGV+kwovf8kMU3g8D3tTH9ruR4vTDpO/C14F35P0Ol/T2vF07cF1EjCY1epzezbGsyUhaCCwFfgR8q4fNJgE3RcTcsvXT80XGtZJ27ONU7wHOBUYD9wDXkWJ9DCk2f5bzs2bOyzvzHcM98vbWXHr7XQcqjt0S/67bUBKF32pJHwJejIhKu6s7PoeQK3f16WbSl2oxMBe4K7dWExGdpNbmi4CXgAuAT0fEC70c75yImB0Rz5F+TGZFxI35WL+ia/LwV4BRwPaSFBH/iogFQ/D5rL6cBPw8IvrTFeNa4CuS1spdPD4BrNnL9gGcFBEvR8T1pLvSF0XE0/n8N7N8vI6TNDZv/6d+5M8aTESsC6wD/Cdwbw+bfRw4p2zdR0l3V8YBM4HrcsNGT26OiOsL5egGwHci4lVSl7otCvu/CrxZ0uoRsSAiHljxT2Z1rsff9ZIKY7fEv+s2WP4FPCnpeEkjcoVrb/JvtaRRpMaGz6/AMR2fQ8iVuzojSaQL4ktJX6wNgPUkfTen7w+cAuwVEasA+wBn9dHKXPyivNDN8loA+Vb8j0m33hdI+qmktQbjc1l9kjQB2J/U6twfx5EaIR4CLgcuBB7rY58nC+97jFfgy6Qy7k5Jf5P0iX7m0RpMbuz6P+C88ueRJb2N9NzTZWX73Ja7D78YEd8BFpG6bvakPC6fiq6JZUuNbWtFxFJSK/Zngccl/VbSG/v72az+9PW7XtRb7Jbx77oNiohYBryf1BvhceC/gV/S9Vs9BTgvIh5dgcM6PoeQK3f1Zz1gM+AnuW/+QlIL87ty+k7AHyPirwAR8WfgDtIF+IBFxI8jYldge+CNpAtoa157k+5kzJX0OHA8cJikP1eyc0QsioiJEbFpRLyZ9DxJd4OyrLCIeDIijomIscBngDOUHvg2gxRrawJjy9ZPAn6dK129CfrXDfn1B4qYEREHApuQWsl/PhjHtbrR1+96uZ5it1/8u259iYi/R8Q+EbFhRLyL9MznHTn5HcDnJT2erwM2Ay6RNChx5Phcca7c1ZmIeBroAD4jabik0cCRdHXRuAt4m6SdACTtTOqv3NszdxXJA1fsJmkEqWXlRbofJMOax/+RCvkJpIaFnwK/Aw4sbSBpVUmr58XVJK1WSNsyP0g9TNK7gE+RnkfqScUX05IOy8+uQLrL0onjtaHlMnF10sXvCEmrKY30hqT9JU3IsbY28APSwCsPFPZfnfRMxzllx91M0h5KU3usli9a1icNKjDQPG8k6ZD87N0rwPOkbprWJPr6Xa8kdvvLv+tWCUlvzmXfmpKOJzVEnZuTS8+875Rf84FjSHfbBnpex2c/uHJXnw4FDgb+DTwIvEwazIKIuIk0uMWlkp4l9V3+Vn4+qTvRw/rurE1qUX6G9EP0FPC9/nwAawy5i9qTpRfpwvTFiCiOVvgv0rNxY0hdj5YWRsJ6C/A30nMm3wI+GhH/7O2UK7D8VuAOSYuB3wCfj4jZlX86q0Mnkgac+ArpYf2lwDdy2mjSs8iLSN2AxwMHRcTLhf3fTxpt+I9lxx0FnEkq+x4jNV4clO+w9FcpVoeRyu95pDJ1L1IXTWsuPf6uU1nsFvl33Qbbx0ldMp8A9gUOiIhXACJiYdl1wDJgUS+9HxyfQ0xdjwCYmZmZmZlZvfKdOzMzMzMzswbgyp2ZmZmZmVkDcOXOzMzMzMysAbhyZ2ZmZmZm1gBcubOqkXSjpKOqnQ+zco5Nq1WOTatljk+rVc0Um67cDYCkYyXdJelFSWd3k/5JSQ9JWizpakmbFtLaJL2c057L/25RSB8n6Q+Slki6X9J+hbR9JN0naaGkf0u6TNKYof68Vj8GGJv/JWmWpGclPSbp+5KGFdJ3knSTpEWS5ko6sYc8nC2p0xOHW0me8/AXkmbn+Lpb0kFl2+wn6QFJz0u6oTBtRq+xKWlDSRdKmpfLxpsl7VZ27OMkPZJj905Je66cT271YiBlZ07fRdIf8+/645KOK6T1WHZK+lrhWmCxpKWSlklab2g/sdWLAf6uX10WXy9JureQvoekO3LaPeVlo6SP5nL7OUm/VpqL0WqUK3cDM4804fJZ5QmS9iHN2/VeYD1gNmmemqKLI2LtiBiV/51dSLsI+Eve90TSvHXr57R/AO+KiHVJc4c9TJqDyaxkILF5BbBrRKxDmph0AvD5QvqFwMyIGA3sA3xO0nvKzrEnsCUrNp+NNb4RwFzg7Tm+WoFLShW4XMZdRpqbbj1SGfjLwv69xeZawJ3Aznnf84CrlCYHJ1f0TgYOzbF7NnC5JA3dx7U61O+yM8fvNaTf43WBrYDfFw7RY9kZEScXrgXWBr6bty3OGWrNrd+xGREHl8XXn4BL8r7rAleSYm4d0jxyv5W0Tk7fAfgpae7QjUmTifuas4a5cjcAEfGbiLiSNLliuXcDv4qIf0bEMtIXci9J4/s6rqStSRcoUyLipYj4NXAf8MF83n9HxLy8+TCgE2jp5Xgdko6XdG9udfm5pI1yS85iSb8vfYnz9rtLujW3fv9V0t6FtMlKdxIXS3pY0jGFtL0lPSrpi5IW5Bb0yX193sL+R+VjPy3pmrIW+05Jn5b0oKRnJP240uM2o4HEZkR0FCZnHk6Kr60K+48jXaQQEY8AtwA7lBIlDQdOB/4T6PXC2bHZXCJiaUScFBGP5uWrSBPTviVvcijw94j4dZ6geQqwk6Rt8vY9xmZOOy1PpBsR8XNgVeCNefst8rHvycvnAesDG3WXV8dmcxrg7/oXgWsj4uKIWBYRSyLiX4X9ey07y0wCpvWUT8dn8xmsa06lXmJvJ5WBAHsAT+RyNyJiOvBvUnkM8FHgyoi4NU9M3gocKmlkd/l0bFafK3crT+n/+k2Fde+V9JSkv0n6TGH9DsAjEbGksO5elr+A3kzSQmAp6Qflu32c/1BgP2Ab4BDgauCrwAaki6TP5+OOBX4HnJTvDB4PXKauu4YLgINzy88ngB9KmlA4zybAKNIdxU8CPyl+iXsi6X05P+8HNgRu5vV3Ot9NugjcCThc0oF9Hdcq8rrYlPQRSc+SCvgdgf8rbH8acKSkEZLeCOwOzCikf5HU4vz3Cs/v2GxSkjYm/d1LsbIDqawDUmWQ1DOhWPb1FpvFY08AVsn7Q7qjMlzSbkpdOY8G7omIBb1k0bFpvSkvO3cHFuYL1QWSrpC0WWH7vspOACTtRfp7/rqP8zs+rSfdXXOWTAJuKjWy9UCFfcvL5UeAl0hx1xPHZhW5cjd0rgU+JOlNktYAvklqZV4zp/8S2I4UVMcA35T04Zy2FvBs2fEWkwIYgIh4NH8R1id123ywj/ycHhFPRcTjpCC+IyLuy63jl5PuFEK67X5VRFyXz3MD8Gfg4Lx8Tan7aETcTOpy8vbCeV4G2iPi1Yi4Bnierpbz3nwaODkiHoyITuA7wISyH8aTI+K5XCDdSOqSZSuur9gkIi7KXd+2JnXHKF4AXwUcRuqacT9wVkTcDanRAfhUPmalHJtNSNII4ALgnIh4KK+upOzrLTZLx16b1Co9JSKey/s9R7pYvgV4kdT6fEz5vmUcm1bUV9n5BtKF83HAZry+y3uPZWeZScCluXGjN45PK+nzd73g48A5heXbgE0lHZ4bHo4k9QYr7dtnudwNx2YVuXI3RHKATiFdTDySX88Bj+X0f0bEE/kW+G3Aj0iFPqTgXLvskOvk/cvPs4h0EXOFCoNedKN4AfRCN8tr5ffjSC0Uz+TXQmBPYFMASe+SdFu+jb0QeBepJabk6fxFKVlaOHZvxgE/Kp0XeJr0vNbYHj5Dpce1Mn3FZtm2s0gXIWfCa33zr837r0a6gDmocOf5h6QWuOdXIEuOzSYjSaSK3UukC+GSFSn7lovNwrFXJz0/8qeIOKWw/pOklt/tImJV0gXOVZI26SWrjk17TQVl5wvA5RFxd76InQrsIWlUBWUnAPnC/EP00iWzwPFpQOW/65LeRnpu7rLCvs+Q7mAdDzwBHEi6o1zat+JyucCxWUWu3A2hiDgzIraJiE1JX7gRdHU/et3mdD2f9A9gSy3fn3mnvL47q5DuAJZ/+frjUeC8iFgvv9aN9BDuKZJWBS4FTgE2zHcOrynke6Dn/XTZedeKiNsH4dhWZgVjcxXS4Cjkf5dFxPSI6IyI+cDF5FY2UjeM7ymNEvd4XnebpCMGIduOzcZxFukH+tCIeLWw/h8UWkdzGdhC72XfloXtVwV+A8yNiM+UbbsT8NtcKSS3FD9Oet5koBybTaKPsvM+Xj+IVGm5r7Kz5FDSBetNg5htx2cTqPB3fRLw6/K7whFxc0TsFhEb5G22A+7Iyf8glZ8ASGohlb199RirhGNzCLhyNwCShudW4uHACEmrKQ0mQX6/Q36/OfAz4LSIeDavO0R5KFmlUdy+QLooIVIXpXuAtnycQ0l9ny/L239A0jZKNgR+ANyd7+IN1AWkZwEPlDRM0upKD62OIQ1OsCrwVER0SnoXqYVnMPwU+Lqk7QEkrSPpsD72sR4MMDaPznFF/nt8Fbg+H/rBtFpH5PjbBPgwXf3xtyb9COxE10X6e0jdMAbKsdkAJP0U2BY4JN/dKLoc2CGXcasBbaTn4h7M+/YYm0rdPC8jtbBO7ubUdwHvVh5gQNIBpHit9NnQ3jg2G8RAyk5SV7cPSNpR0iqkrr+3ROoS3FfZWTKJroEuBovjswEMMDZLvRoOZ/kumaW0CUpdMtcGvk9qICv97k8nxc+eucHtJOCyWH5ciP5ybA4BV+4G5kTShcRXSP2Gl5KG8AZYHbhQ0nPA7cCtLP8c0hHAw5IWk7pffDsiLihLfyuwkDS87Qcj4umcNpbUvWMx6YdhGV2jGnWnp5bE128Y8RjwPuDrpAEL5pBu1Q/LXe0+D/xK6Tb2EaShyXvT21D4r6VFxG9IfZ4vlrSI1AJ6UHfbVnBcG1hs7gn8Laf/Lr++Aa89t3QoadCUZ4C7SX+rb+X0pyKNVvhkpIEqgtQK/VIP+XRsNpF80XEMqeK/QF3zLn0EUvyQRgX+Nim+diX9LUt6jE3SHbiDST/+zxaOvWc+9nmkOyUzlQZkOQ04plRx7IZjszn1u+yMiBtJMXA1qXvblqSRBvssOwHyBe2+VFa5c3w2n4H8rkPqerkwIv7YzbFPAJ4ixcbGwAdKCRFxP/AZ0kivTwBrAMf2kk/HZpUpoq7ya2ZmZmZmZt3wnTszMzMzM7MG4MqdmZmZmZlZA3DlzszMzMzMrAG4cmdmZmZmZtYAXLmzQSOpTdL5PaTtLenRlZ0nsxLHp9Uqx6bVKsem1TLHZ/dcuRskko6VdJekFyWd3U36JyU9lIfmvlrSpt1ss4qkByTNLVu/k6SbJC2SNFfSiYW0vSW9mo9bGvr740PzKStS0TC0tnINJD4l/ZekWZKelfSYpO9LGlZI7y0+v1aIy8WSlkpaJmm9of/U3XJ81hBJq0r6haTZOb7ulnRQ2Tb75XLxeUk35OkUSml9xebsHHOl+Lu27NjfkDQnx+6FktYa+k/dI8dmjRno77qkXST9MZeBj0s6rptj7C2pU9JJhXUuN61PA/xdX1XSTyU9IekpSVeU0iVtmMvDeZIWSrpZaT7m0r6Ozxrnyt3gmQe0A2eVJ0jahzSXzXuB9YDZwEXdHOMEYEE36y8EZkbEaGAf4HOS3lM8d0SsHRGj8r/dtmJYUxtIfF4B7BoR6wBvIs1R9vlCeo/xGREnF+JybeC7edtnBvXTWb0aAcwF3p7jqxW4pFSBk7Q+aWLyb5Bi8y/ALwv79xWbAby7FH8R8VrFUdKRpLmi/h8wBlgT+PGQfEqrV/0uN3PsXgOcCawLbAX8vuwYI0jzLd5eXO9y0yo0kN/1/wL+g1RujgEWAafntLWAO4Gd877nAVdJWhMcn/XAlbtBEhG/iYgrSZOTlns38KuI+GdELCN9GfeSNL60QX7/UeDkbvYfR7qAJiIeAW4BduhPPiV1SDpe0r255eXnkjbKrTqLJf1e0jqF7XeXdGtuvfmrpL0LaVtImplbza8DNliBfGwq6VJJT+aW9+MKaW2Sfinp3Jynv0napT+f15KBxGdEdETEwrztcKCTdKFSsiLxOQmY1lM+HZ/NJSKWRsRJEfFoXr4K6ADekjc5FPh7RPw6Il4GpgA7Sdomb99XbAKoh9O/Bzg7IuZHxFLSBcrhklbvbmPHZvMZ4O/6F4FrI+LiiFgWEUsi4l9lx/gScB3wzz6y4nLTXmeA8bkFcF1EPJXL1l+Sf7dzuXpaRDwZyc+BVYE39pAVx2eNceWuOkr/728qrPtf4GvAi91sfxpwpKQRkt4I7A7MKKRvpNTlY5akHyi3rvTiUGA/YBvgEOBq4KukL8lwcsu3pLHA74CTImJd4HjgMqUWSUgX9Hfl/f4HOLLPT56OK+C3wF+BTXNeviDpgMJm783HXydv+5NKjm2D4nXxKekjkp4F/g3sCPxfYfu+4rN0jL2ADYFf93F+x2eTkrQx6e/+97xqB+DeUnquhD1MofGgj9gEmC5pgaRrJe3Yy+mHAasBW/eyjWPTelJebu4OLMwXqQuUur1tVtpY0jjgE8BJ9NwA4XLTBkt5fJ4FvC1XeNYk9WK4ursdJU0AViGVveVpjs8a5MrdynEt8CFJb5K0BvBNUgvzmgCSPgAMyy0w3bkKOAx4AbgfOCsi7s5pDwATImJT4B2kFu/v95Gf03NrzePAzcAdEXFfbr25nHQrHtKX/aqIuA4gIm4A/gwcnH+kdgW+GRGvRMTNpC9DJXYDNoiIb0XEqxExG/gFcERhm1si4rqICOB80kWbDY1e4xMgIi7KXd+2Bn7K8t2He4vPoknApfkCvTeOzyak1EXtAuCciHgor14LeLZs08XAqNJCH7H5UVIL9ThgJnCdpLVz2rXAJyWNy63GJ+T1vTWOOTatpK9y8w2kMu84YDNe3y3uR8CJFZSHLjetP/qKz4eAR0ldOxcB25Lu7i0nl5fnAVMi4rluzuP4rEGu3K0EOTinkFo2Hsmv54DHcovJd+l6TmS5FjxJ65K+pFNIrcqbAQdJ+kw+9pMR8c/8fg7pAuWDfWSpePHzQjfLpUEFxpG6KT2TXwuBPUmtHmOAhRHxQmHfOX2ct2RzYGzZcb8GbFTY5onC+6XA6ioMlGCDp7f47GbbWaQK3JnQd3yW5B+XD9FL140Cx2eTya2qFwAvkS6GS54H1i7bfB1SfC6nPDbzutsi4qWIeDEivkO6iHl7Tj6bdLE9E/gb8Ie8/nVxX+DYNKCicvMF4PKIuDtfwE4F9pA0StJ7gVERcWlv53C5af1VQXyeQfrNXhcYSapglQ84tTpwJfCniDil/ByOz9o1otoZaBYRcSZdF8RbAyeSuh5tTQrmm/MFzqrAOpLmk7p1bAgsi4jp+VDzJV0MHExqpe7OYAXjo8B5EfHp8gSlAQ/WlbRG4Yu2OallqJLjPhIRPfXftpWsl/jszirAlvn9llQWn4cCT0fETYOYbcdn4ziL1M3m4Ih4tbD+HxS63UgaCbTk9d0pxmZ3gtyAlltnp+YXkg4kDU41r5+focix2QT6KDfv4/Uj9ZWW3wG8RdLjeXkdYJmkN0fEBwrbu9y0fusjPncCvh4Rz+b004GTJK0XEc9IWhX4DTA3Ij7z+qMDjs+aVZc10lokaXhu5RgOjJC0mqThOW01STvk95sDPwNOy1+qv5Hudkwgfdk+SWo92IkUjA+m3XSEkk2AD5OfQ5G0j7pGltsM+A7pCzkYLgDeK+lAScMkra40bPOYiJhLulU+VWkKh7eR+itX4k7gOUkn5GMOl7SDpF172afHZxKsbwOITyQdLWnD/H57Uj/56/Ohe43Pgkmkrh2DyfHZACT9lNQl6JB8h6PocmAHSR+QtBrQBtwTEQ/mfXuMTUmbSdoj//1Xk/RlYH3g1py+rqQtC/t+n1zRGwSOzQYwkHITOAf4gKQdJa1CGgn2lty17UTSs0c75deVwM9Jz+AVudy0Hg0wPu8CJklaO8fnsaTGrWeUushfRrp7NbmXLDg+a5Qrd4PnRNIX4SukPsNLScN3A6wOXCjpOdKQx7eS+j8TEZ25a+WTEfEkadSjzoj4dyTPkVpHvpjT7ia1CH4rH3tn4E+SnieNUngP8IVe8tlTS+LrN4x4DHgf8HXSYAVzSA+3luLmY6S7i0+TfrjO7eW8xeN2kkaqm0AaGe9J0g9beferivJpFelXfGZ7An/L6b/Lr28AVBCfSBoD7EtlPwKOzyaSLzqOIf1fL1DX3EkfAYiIp0jdzL9Niq9dWf4ZiR5jk/Rc3pl5v8eAA4GDomt0zQ2Aq3PZeRXwi4h43ZDiBY7N5tPvcjMibiT9/a8mNdhuSXoGlEgjZxZ/918AlkTEotL+LjetAgP5XT+e1A3+IVIXyYOA9+e0PUi9bw4Eni2Uy3uWdnZ81jalnilmZmZmZmZWz3znzszMzMzMrAG4cmdmZmZmZtYAXLkzMzMzMzNrAK7cmZmZmZmZNQBX7myFSDpS0s1DfI6/S9prKM9hjcnxabXKsWm1zPFptcqxueJcuRsAScdKukvSi5LOrmD7/5b0uKRFkn6R5xYppa0r6XJJz0vqKA0FntPGSerMQ9GWhqT9RvdnWSkGbYhVSedIOmm5g0e8aZAnxWxKKys+c/p+kh7I6TfkIe6rxfFZ4wY5NmdKeqFQPj5Qtq9j01bIIMdnj8eStF1Oe0bS05J+L2m7ofhMFXJ81rjBik1Jq+bl2ZKelXS3pIMK+zk265grdwMzD2gHepsbCQBJ7wROIM0LMg5oYfkJc88AXgQ2BCYCZ5Z9kQJYJyJGRcTaEfEtapzyZJpWNSslPiWtT5rw9BvAesBfgF8O2qcYIo7PqhrM2Azgc7lcHBUR2xX2dWxafwxmfPZ2rHnA4RGxHmnexd8CFw8o5yuB47OqBis2RwBzgbdHxDqkOeMuKTR+zcexWb8iwq8BvkhftLP72GY68D+F5X2Bx/P7NUmTSbYU0s8Fvp3fjwM6geEV5ufGnKdbgeeAK0gXNhcAzwJ3AJsXtt8W+D1pUsgHgA8V0tYDrsz73Q6cBNzUw3lL+TyKNPHkzLz+EuBxYCEwE9gur/8U8DKp0rAYuCKv7wDekd+vCpxGKtAeA34IrFLtv3k9vVZCfH4KuKWQtiZpMtVtHJ9+DWVsFuLpqB72dWw6Nqsan5Uei3SxfSzwfC/bOD79GvTYLKTfC3zAsVn/sek7dyvPDqQvTsm9wEaS1gW2AV6JiFll6TsUlgOYLWmupLNzi3RvPgx8DBgDbAX8idTSsy7wT6ANQNKapC/YBaTWmSOAMyRtm49zBuliaGPgaNIXqC97kb6478zLV5NajDYC7gYuBIiIn5MKn1Mitbq/r5tjnQjsBuwI7JTfn1hBHmzFDCQ+l9s3IpYCD7N8/JZzfFqluovNjXNslpws6UlJN0vau6fb5CWzAAAEqklEQVR9HZuOzSHQW9lZEUkLSbHyI6CvXjmOT6tUxbEpaWNga+AfZesdm3UYm67crTxrkVohShYDAkbltMVl2y/OaQBPAW8ltVC8Ja+f3sf5zomI2RHxHHANMCsiboyITuBXwM55u/cAHRFxXiT3kroxfUjSMOBQoDUiXoyIf5Du2PQmgLaIeCEiXgKIiGkRsTQiXiG1wOwkaVSvR+nyUWBqRDwdEU+TuhRMqnDf/9/e/bvIUcZxHH9/zIXzZy7nj0JjiEkgghamCGKhnRwiqKjdKVgIIiRpTRMhiGiwsFYkKmthdxZaaOUfoIiKQYkRETVyiVyCiQYN+rX4PutNltnZye3kuFs/L1jYuZnn2Vvms8M8P2bG2hsnn4NlB9fXcT6trbpswnK+ngN2AFuAN4D3JW0fUrZf3tm0rjQdO1uJiFlgBtjHxSfjdZxPa6tVNiVNkQ2ttyPiWHWds7k+s+nG3eo5B2yqLM+QgTxbs66//ixARPweEZ9FxD8RcYr8kc1Juqbh8xYr78/XLF9b3m8D7ikXzS6VXpp5ssfkJnI4/qdK2R9GftPK9pKukHRY0nFJZ8ih7yB7a9q4hZwXXv38m1uWtfZWnM8W6+s4n9ZWUzaJiE/KMfJCRPTIaUEPDinbL+9sWlca89lWRJwHXgd6kpr2sfNpbY3MpiSRDbs/gf11lTib6y+bbtytnqPk8G7fbmAxIk4Dx4ApSTsr6+9iYHh8QNDN/vuRnKN8fXnNRg5V7wNOAReArZXt29xprnpXo3ngIXIu82bgNrLnSDXb1jlBHgj6tpW/WbfGyefRsj0ApdNhJ835bcv5tKZs1gmW95+zuczZvDwuNZ9NNpDXhW7p4P9yPq1NNo+QjZ7HIuLvhrqczXXEjbsxSNog6Uoy9FOSphvu1NMDni63l50l5+++Bf9dB7IAvCDpakn3ksHslc+5W9IupRvIuc8fl6HvcX0A7JL0pKQpSRsl7ZF0exlKXwAOSbpK0h3AUyPq08DydWSP0OlyYvUyF/+wFskpVcO8CxyUdGPpMXoeeKf91/v/WoV89vfDe8Cdkh6VNE3Oq/98cHrHCjmfE6irbEqakTTXLy/pCeA+4MNS1tl0Ni9ZV/kcVZek+yXtLiMNm4BXgSXyBhPjcj4nUMfZfI28Tu3hiPhr4HOczXWcTTfuxnOQvOjzAHkR6R/kLbeRtFX53KVbASLiI+AV8o5C3wPfAYcqde0le0VOkkPkz0bEN2XdDvJk5TfgS/IuP/MN/9eoXonlDSPOAXPkBa0nyuswMF022U/+UH4B3iyvxioHlnvk8PbPwFfkBbZVR8iTryVJCzV1vAh8Sn7vL8r7Nf8YiDXicufz61L2V+Bx4CXy4L+HzNMwzqd1lc2N5D44Sfb47gUeiYjjpayz6WyuRJfHzqF1AZvJE8kzwLfAduCBwRPtCufTOsmm8pEHz1BG87T8DOX+M2ydzXWcTUW03h9mZmZmZma2RnnkzszMzMzMbAK4cWdmZmZmZjYB3LgzMzMzMzObAG7cmZmZmZmZTQA37szMzMzMzCaAG3dmZmZmZmYTwI07MzMzMzOzCeDGnZmZmZmZ2QT4F8AfhjfNI6gxAAAAAElFTkSuQmCC\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2572,11 +2234,11 @@ "text": [ " #1 #2 #3 #4 #5 | Algorithm\n", " --- --- --- --- --- | ---------\n", - " 13 15 8 4 0 | improve_greedy\n", - " 19 14 7 0 0 | rep_improve_nn\n", - " 1 1 0 5 33 | improve_divide\n", - " 5 8 17 8 2 | improve_nn\n", - " 2 2 8 23 5 | improve_mst\n" + " 13 16 18 1 2 | improve_greedy\n", + " 24 17 4 5 0 | rep_improve_nn\n", + " 0 1 1 11 37 | improve_divide\n", + " 10 8 13 16 3 | improve_nn\n", + " 3 8 14 17 8 | improve_mst\n" ] } ], @@ -2590,7 +2252,8 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "The `improve_greedy_tsp` and `rep_improve_nn_tsp` algorithms give the shortest tours. One surprising result is that the divide and conquer algorithm was not improved much; perhaps the re-assembly steps of divide and conquer are already doing the same things that `improve_tour` does. The minimum spanning tree algorithm is no longer terrible.\n", + "The `improve_greedy_tsp` and `rep_improve_nn_tsp` algorithms give the shortest tours. One surprising result is that the divide and conquer algorithm was not improved much; perhaps the re-assembly steps of divide and conquer are already doing similar things to what `improve_tour` does. The minimum spanning tree algorithm is no longer terrible.\n", + "To make sense of the rankings: the top line says that `improve_greedy` was #1 (had the shortest tour) on 13 of the 50 problems, was #2 on 16 problems, and so on, while `rep_improve_nn` actually had more #1 finishes with 24. The big loser was `improve_divide`, with 0 first place finishes and 37 last place finishes.\n", "\n", "# Comparison of *k* Values for `rep_improve_nn_tsp`\n", "\n", @@ -2599,14 +2262,14 @@ }, { "cell_type": "code", - "execution_count": 80, + "execution_count": 68, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2618,41 +2281,41 @@ "text": [ " #1 #2 #3 #4 #5 #6 | Algorithm\n", " --- --- --- --- --- --- | ---------\n", - " 9 3 2 3 16 7 | improve_greedy\n", - " 12 10 11 6 1 0 | rep_improve_nn, 15\n", - " 13 10 10 5 1 1 | rep_improve_nn, 10\n", - " 5 11 5 10 7 2 | rep_improve_nn, 5\n", - " 2 6 8 11 7 6 | rep_improve_nn, 3\n", - " 2 4 2 6 2 24 | rep_improve_nn, 1\n" + " 3 8 6 8 11 14 | improve_greedy\n", + " 28 12 3 3 3 1 | rep_improve_nn, 15\n", + " 14 12 16 5 3 0 | rep_improve_nn, 10\n", + " 6 5 17 13 4 5 | rep_improve_nn, 5\n", + " 4 7 8 14 8 9 | rep_improve_nn, 3\n", + " 1 4 2 5 17 21 | rep_improve_nn, 1\n" ] } ], "source": [ - "improvers = [bind(rep_improve_nn_tsp, k) for k in (15, 10, 5, 3, 1)]\n", - "compare([improve_greedy_tsp] + improvers)" + "compare([improve_greedy_tsp] + [bind(rep_improve_nn_tsp, k) for k in (15, 10, 5, 3, 1)])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "With the default *k*=5, `rep_improve_nn_tsp` is comparable to `improve_greedy_tsp`, and with *k*=15 the tours are 1% shorter (but the run time is 14 times longer). \n", + "We do get shorter tours as we increase the reptitions, but of course we pay a penalty in run time. With *k*=3,\n", + "`rep_improve_nn_tsp` is roughly comparable to `improve_greedy_tsp` (although the later is twice as fast). With *k*=15 the tours are 2.5% shorter than with *k*=1, but the run time is 15 times longer. \n", "\n", "# Comparison of Ensemble Strategy\n", "\n", - "Since no one algorithm dominates the others, maybe it is time for the **ensemble strategy**:" + "Since no one algorithm always dominates the others, maybe it is time for the **ensemble strategy**:" ] }, { "cell_type": "code", - "execution_count": 81, + "execution_count": 69, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2664,39 +2327,81 @@ "text": [ " #1 #2 #3 #4 | Algorithm\n", " --- --- --- --- | ---------\n", - " 40 0 0 0 | ensemble\n", - " 23 0 15 2 | rep_improve_nn\n", - " 15 0 21 4 | improve_greedy\n", - " 2 0 4 34 | improve_mst\n" + " 50 0 0 0 | ensemble\n", + " 31 0 13 6 | rep_improve_nn\n", + " 16 0 26 8 | improve_greedy\n", + " 3 0 11 36 | improve_mst\n" ] } ], "source": [ "ensemble = (rep_improve_nn_tsp, improve_greedy_tsp, improve_mst_tsp)\n", - "compare((ensemble_tsp,) + ensemble)" + "\n", + "compare((ensemble_tsp, *ensemble))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "The `ensemble_tsp` algorithm gives a 1% improvement in tour length, because it gets contributions from both `rep_improve_nn_tsp` and `improve_greedy_tsp` (and, for just 2 out of 40 problems, from `improve_mst_tsp`). Note that in the rankings, for every problem there is a two way tie for first between the `ensemble_tsp` algorithm and whichever member of the ensemble contributed that tour. That's why there are 80 (not 40) entries in the \"#1\" column, and none in the \"#2\" column. \n", + "The `ensemble_tsp` algorithm produces the shortest tours yet, because it gets contributions from both `rep_improve_nn_tsp` and `improve_greedy_tsp` (and, for just 3 out of 50 problems, from `improve_mst_tsp`). Note that in the rankings, for every problem there is a two way tie for first between the `ensemble_tsp` algorithm and whichever member of the ensemble contributed that tour. That's why there are 100 (not 50) entries in the \"#1\" column, and 0 in the \"#2\" column. \n", + "\n", + "Let's see if the results are different for different-sized city sets:" + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " #1 #2 #3 #4 | Algorithm\n", + " --- --- --- --- | ---------\n", + " 30 0 0 0 | ensemble\n", + " 14 0 14 2 | rep_improve_nn\n", + " 15 0 10 5 | improve_greedy\n", + " 1 0 6 23 | improve_mst\n" + ] + } + ], + "source": [ + "compare((ensemble_tsp, *ensemble), TestSuite(30, 300))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "A similar picture.\n", "\n", "# Comparing Precise Algorithms\n", "\n", - "Here I compare the two precise algorithms, All Tours and Held-Karp, to the (approximate) ensemble algorithm. I won't bother with `rankings`, because the precise algorithms always tie for first. I'll try both 9 and 10-city test suites:" + "Here I compare the two precise algorithms, Exhaustive Search and Held-Karp, to the (approximate) ensemble algorithm. I won't bother with `rankings`, because the precise algorithms always tie for first. I'll try both 9 and 10-city test suites:" ] }, { "cell_type": "code", - "execution_count": 82, + "execution_count": 71, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2704,19 +2409,19 @@ } ], "source": [ - "boxplots([alltours_tsp, held_karp_tsp, ensemble_tsp], TestSuite(200, 9))" + "boxplots([exhaustive_tsp, held_karp_tsp, ensemble_tsp], TestSuite(200, 9))" ] }, { "cell_type": "code", - "execution_count": 83, + "execution_count": 72, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2724,14 +2429,14 @@ } ], "source": [ - "boxplots([alltours_tsp, held_karp_tsp, ensemble_tsp], TestSuite(20, 10))" + "boxplots([exhaustive_tsp, held_karp_tsp, ensemble_tsp], TestSuite(20, 10))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "This says that while `ensemble_tsp` does not give a guarantee of an optimal tour, in practice on random city sets it performs exactly the same as the precise algorithms, only faster.\n", + "This says that while `ensemble_tsp` does not quite give a guarantee of an optimal tour, in practice on random city sets it performs almost exactly the same as the precise algorithms, only faster.\n", "\n", "\n", "# Further Explorations\n", From d78700d4cbaf64ba5b9246ddcab4f31ca10bcff1 Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Fri, 13 Apr 2018 03:05:49 -0700 Subject: [PATCH 64/90] Add files via upload --- ipynb/WWW.ipynb | 1026 +++++++++++++++++++++++------------------------ 1 file changed, 507 insertions(+), 519 deletions(-) diff --git a/ipynb/WWW.ipynb b/ipynb/WWW.ipynb index b222814..f1a6ccd 100644 --- a/ipynb/WWW.ipynb +++ b/ipynb/WWW.ipynb @@ -4,136 +4,205 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# WWW: Will the Warriors Win?\n", + "# WWW: Who Will Win?\n", "\n", - "## 18 April 2016\n", + "## 12 April, 2018\n", "\n", - "The Golden State Warriors have had a historic basketball season, winning more games than any other team ever has. But will they top that off by winning the championship? There are 15 other teams in contention, including one, the Spurs, that has had a historic season as the best second-best team ever. The web site fivethirtyeight, using a complicated scoring system, [gives](http://projects.fivethirtyeight.com/2016-nba-picks/) the Warriors a 44% chance of winning, with the Spurs at 28%. Basketball-reference [has](http://www.basketball-reference.com/friv/playoff_prob.cgi) the Warriors at 41% and Spurs at 32.5%, while a [betting site](http://www.oddsshark.com/nba/nba-futures) had the Warriors at 54% and Spurs at 18%. But what's a good way to make a prediction? There are several choices:\n", + "\"It's tough to make predictions, especially [about](https://en.wikiquote.org/wiki/Yogi_Berra) [the](https://en.wikiquote.org/wiki/Niels_Bohr) future.\" That's true for the **NBA basketball playoffs**, where the Rockets are the favorites, with a 44% chance of winning the title according to [538](https://fivethirtyeight.com/features/the-nba-playoffs-sleepers-favorites-and-best-first-round-matchups/), and 35% according to the Las Vegas oddsmakers, a relatively small difference of opinion. But there are some big discrepancies: the Warriors are tied with the Rockets at 35% according to Vegas, but stand at only 4% according to 538. That 9-fold difference underscores that rational people can use different models with different assumptions and come to different conclusions. Here are some models you might choose:\n", "\n", - "- Subjective impression of a team's strength? Or a statistical model?\n", - "- Predictions based on:\n", - " - Holistic impression of entire postseason (e.g. \"I think the Warriors have a 50% chance of winning it all\")\n", - " - Series by series (e.g. \"I think the Warriors have a 95% chance of beating the Rockets in the first round, then ...\")\n", - " - Game by game (e.g. \"I think the Warriors have a 83% chance of beating the Rockets in Game 1, then ...\")\n", - " - Possession by possession (e.g. simulate games basket by basket, based on past stats)\n", - " \n", - "Here are the top four teams with their Won-Loss percentage and [SRS](http://www.basketball-reference.com/blog/?p=39) (Simple rating system: average margin of victory, adjusted for strength of opponents):\n", + "1. **Holistic**: \"I just feel that the Rockets have about a 1/3 chance of winning it all.\"\n", + "2. **Game by Game**: \"I think the Rockets have an 75% chance of winning each game in the first round, then 70% in the next round, then 60%; from that I'll calculate their overall chance.\"\n", + "3. **Point by Point**: \"The Rockets have a per-game average point differential of 8.2; I'll compare that to the other teams and caclulate their overall chance.\"\n", "\n", - " TEAM PCT SRS\n", - " Warriors .890 10.38\n", - " Spurs .817 10.28\n", - " Thunder .671 7.09\n", - " Cavaliers .695 5.45\n", + "# Point by Point Model\n", "\n", - "I decided to go with a subjective impression of one team beating another in a single game. For example, I might think that the Warriors have a 58% chance of beating the Cavaliers in any one game, and from that compute the odds of winning a series:" + "The [Simple Rating System](https://www.sportingcharts.com/dictionary/nba/simple-rating-system-statistics.aspx) (SRS) records the average point differential of a team over the season, with a slight adjustment for strength of schedule. We can look up the winning percentage and SRS of the top contending teams [here](https://www.basketball-reference.com/leagues/NBA_2018.html): \n", + "\n", + " TEAM PCT SRS\n", + " Rockets .793 8.2\n", + " Raptors .720 7.3\n", + " Warriors .707 5.8\n", + " Sixers .634 4.3\n", + " \n", + "\n", + "The Point-by-Point model of a game is: a game is decided by a random sample from the distribution of point differentials, which is a normal (Gaussian) distribution centered around the recorded differences of the two teams. So, if the Raptors play the Sixers, then the\n", + "mean of this distribution is 7.3 - 4.3 = 3.0. We also need to know the standard deviation; [Betlabs](https://www.betlabssports.com/blog/a-look-at-nba-team-totals/) says it\n", + "is 10.5 points (and they confirm that scores roughly follow a normal distribution). \n", + "The function `simulate` does the calculation:" ] }, { "cell_type": "code", "execution_count": 1, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ - "def win_series(p, W=0, L=0):\n", - " \"Probability of winning best-of-7 series, given a probability p of winning a game.\"\n", - " return (1 if W == 4 else\n", - " 0 if L == 4 else\n", - " p * win_series(p, W + 1, L) +\n", - " (1 - p) * win_series(p, W, L + 1))" + "from statistics import mean\n", + "from random import gauss\n", + "\n", + "def simulate(diff, 𝝈=10.5, n=10000):\n", + " \"Given SRS point differential of two teams, return favored team's win probability.\"\n", + " return mean(gauss(diff, 𝝈) > 0 for game in range(n))" ] }, { "cell_type": "code", "execution_count": 2, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "0.6705883933696" - ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - } - ], + "metadata": {}, + "outputs": [], "source": [ - "win_series(0.58)" + "simulate(7.3 - 4.3) # Raptors win probability vs Sixers" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "In other words, if you have a 58% chance of winning a game, you have a 67% chance of winning the series.\n", - "\n", - "Note that I ignore the fact that games aren't strictly independent; I ignore home court advantage; and I ignore the chance of catastrophic injuries. Why? Because all these factors would change the final winning estimate by only a few percentage points, and I already have more uncertainty than that.\n", - "\n", - "Note that `win_series` takes optional arguments to say how many games in the sries have been won and lost so far. Here's a table showing your chance of winning a series, given the current tally of games won and lost on the left, and your expected percentage of winning a game at the top:" + "The model says the Raptors have a 61% chance of beating the Sixers in a game. We can make a table of point differentials and game win percentages:" ] }, { "cell_type": "code", "execution_count": 3, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "def percents(items, fmt='{:4.0%}'): return ' '.join(fmt.format(item) for item in items)\n", - "\n", - "def series_table(pcts=[p/100 for p in range(20, 81, 5)]):\n", - " print('W-L | Singe Game Win Percentage')\n", - " print(' | ' + percents(pcts))\n", - " for W in range(4):\n", - " print('----+' + '-' * 5 * len(pcts))\n", - " for L in reversed(range(4)):\n", - " results = [win_series(p, W, L) for p in pcts]\n", - " print('{}-{} | {}'.format(W, L, percents(results)))" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "W-L | Singe Game Win Percentage\n", - " | 20% 25% 30% 35% 40% 45% 50% 55% 60% 65% 70% 75% 80%\n", - "----+-----------------------------------------------------------------\n", - "0-3 | 0% 0% 1% 2% 3% 4% 6% 9% 13% 18% 24% 32% 41%\n", - "0-2 | 1% 2% 3% 5% 9% 13% 19% 26% 34% 43% 53% 63% 74%\n", - "0-1 | 2% 4% 7% 12% 18% 26% 34% 44% 54% 65% 74% 83% 90%\n", - "0-0 | 3% 7% 13% 20% 29% 39% 50% 61% 71% 80% 87% 93% 97%\n", - "----+-----------------------------------------------------------------\n", - "1-3 | 1% 2% 3% 4% 6% 9% 12% 17% 22% 27% 34% 42% 51%\n", - "1-2 | 3% 5% 8% 13% 18% 24% 31% 39% 48% 56% 65% 74% 82%\n", - "1-1 | 6% 10% 16% 24% 32% 41% 50% 59% 68% 76% 84% 90% 94%\n", - "1-0 | 10% 17% 26% 35% 46% 56% 66% 74% 82% 88% 93% 96% 98%\n", - "----+-----------------------------------------------------------------\n", - "2-3 | 4% 6% 9% 12% 16% 20% 25% 30% 36% 42% 49% 56% 64%\n", - "2-2 | 10% 16% 22% 28% 35% 43% 50% 57% 65% 72% 78% 84% 90%\n", - "2-1 | 18% 26% 35% 44% 52% 61% 69% 76% 82% 87% 92% 95% 97%\n", - "2-0 | 26% 37% 47% 57% 66% 74% 81% 87% 91% 95% 97% 98% 99%\n", - "----+-----------------------------------------------------------------\n", - "3-3 | 20% 25% 30% 35% 40% 45% 50% 55% 60% 65% 70% 75% 80%\n", - "3-2 | 36% 44% 51% 58% 64% 70% 75% 80% 84% 88% 91% 94% 96%\n", - "3-1 | 49% 58% 66% 73% 78% 83% 88% 91% 94% 96% 97% 98% 99%\n", - "3-0 | 59% 68% 76% 82% 87% 91% 94% 96% 97% 98% 99% 100% 100%\n" + "0 point differential = 51% win game\n", + "1 point differential = 53% win game\n", + "2 point differential = 58% win game\n", + "3 point differential = 61% win game\n", + "4 point differential = 66% win game\n", + "5 point differential = 68% win game\n", + "6 point differential = 72% win game\n", + "7 point differential = 75% win game\n", + "8 point differential = 78% win game\n", + "9 point differential = 80% win game\n" ] } ], "source": [ + "pct = '{:4.0%}'.format \n", + "\n", + "for diff in range(10):\n", + " print(diff, 'point differential =', pct(simulate(diff)), 'win game')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This agrees very well with the \"Differential vs. Win Percentage\" [chart](http://a.espncdn.com/combiner/i?img=%2Fphoto%2F2018%2F0408%2F180408_differential.png&w=1140&cquality=40) on [this page](http://www.espn.com/nba/story/_/id/23071005/kevin-pelton-weekly-mailbag-including-nba-all-offensive-teams).\n", + "\n", + "# Game by Game Model\n", + "\n", + "The next model says that a playoff series is a sequence of independent and identically distributed game results (where the probability of a single-game win is specified either using point differential, or holistically). The idea here is to be consistent: if you believe that a team's win percentage is 60%, and you believe that games are independent, then you must believe that the team's chance of wining 4 in a row is 0.64 = 0.1296.\n", + "\n", + "The function `win_series` calculates the probability of winning a series, given the probability of winning a game:" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "def win_series(p, W=0, L=0):\n", + " \"\"\"Probability of winning best-of-7 series, given a probability p of winning a game.\n", + " The optional arguments say how many Wins and Losses the team has in the series so far.\"\"\"\n", + " return (1 if W == 4 else\n", + " 0 if L == 4 else\n", + " p * win_series(p, W + 1, L) + (1 - p) * win_series(p, W, L + 1))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can make another table:" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "% win game = 50.0% win series\n", + "% win game = 60.8% win series\n", + "% win game = 71.0% win series\n", + "% win game = 80.0% win series\n", + "% win game = 87.4% win series\n", + "% win game = 92.9% win series\n", + "% win game = 96.7% win series\n", + "% win game = 98.8% win series\n", + "% win game = 99.7% win series\n" + ] + } + ], + "source": [ + "for p in range(50, 95, 5):\n", + " print(format('{}% win game = {:5.1%} win series'.format(pct, win_series(p/100))))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "For example, if a team has a 60% chance of winning each game, then it has an 71% chance of winning the series. This model ignores the fact that games aren't strictly independent, and ignores home court advantage. Why? Because these factors would change the final winning estimate by only a few percentage points, and I already have more uncertainty than that. \n", + "\n", + "What happens if some games in a series have already been played? The following function prints a table where each row tells a team's current win-loss record, each column is the game win percentage, and each entry in the table is the series win percentage." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "W-L | Game Win Percentage\n", + " | 20% 25% 30% 35% 40% 45% 50% 55% 60% 65% 70% 75% 80%\n", + "----+-----------------------------------------------------------------\n", + "0-0 | 3% 7% 13% 20% 29% 39% 50% 61% 71% 80% 87% 93% 97%\n", + "0-1 | 2% 4% 7% 12% 18% 26% 34% 44% 54% 65% 74% 83% 90%\n", + "0-2 | 1% 2% 3% 5% 9% 13% 19% 26% 34% 43% 53% 63% 74%\n", + "0-3 | 0% 0% 1% 2% 3% 4% 6% 9% 13% 18% 24% 32% 41%\n", + "----+-----------------------------------------------------------------\n", + "1-0 | 10% 17% 26% 35% 46% 56% 66% 74% 82% 88% 93% 96% 98%\n", + "1-1 | 6% 10% 16% 24% 32% 41% 50% 59% 68% 76% 84% 90% 94%\n", + "1-2 | 3% 5% 8% 13% 18% 24% 31% 39% 48% 56% 65% 74% 82%\n", + "1-3 | 1% 2% 3% 4% 6% 9% 12% 17% 22% 27% 34% 42% 51%\n", + "----+-----------------------------------------------------------------\n", + "2-0 | 26% 37% 47% 57% 66% 74% 81% 87% 91% 95% 97% 98% 99%\n", + "2-1 | 18% 26% 35% 44% 52% 61% 69% 76% 82% 87% 92% 95% 97%\n", + "2-2 | 10% 16% 22% 28% 35% 43% 50% 57% 65% 72% 78% 84% 90%\n", + "2-3 | 4% 6% 9% 12% 16% 20% 25% 30% 36% 42% 49% 56% 64%\n", + "----+-----------------------------------------------------------------\n", + "3-0 | 59% 68% 76% 82% 87% 91% 94% 96% 97% 98% 99% 100% 100%\n", + "3-1 | 49% 58% 66% 73% 78% 83% 88% 91% 94% 96% 97% 98% 99%\n", + "3-2 | 36% 44% 51% 58% 64% 70% 75% 80% 84% 88% 91% 94% 96%\n", + "3-3 | 20% 25% 30% 35% 40% 45% 50% 55% 60% 65% 70% 75% 80%\n" + ] + } + ], + "source": [ + "def series_table(pcts=[p/100 for p in range(20, 85, 5)]):\n", + " print('W-L | Game Win Percentage')\n", + " print(' | ' + ' '.join(map(pct, pcts)))\n", + " for W in range(4):\n", + " print('----+' + '-' * 5 * len(pcts))\n", + " for L in range(4):\n", + " results = [win_series(p, W, L) for p in pcts]\n", + " print('{}-{} | {}'.format(W, L, ' '.join(map(pct, results))))\n", + "\n", "series_table()" ] }, @@ -141,121 +210,243 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "And here's a function to tabulate the chances of winning each series on the way to a title:" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "def playoffs(name, rounds):\n", - " \"Print probability for team winning each series.\"\n", - " overall = (1, 1, 1) # (lo, med, hi) probabilities of winning it all\n", - " for (opponent, probs) in rounds:\n", - " this_round = [win_series(p) for p in probs]\n", - " overall = [overall[i] * this_round[i] for i in range(len(probs))]\n", - " print('{} vs {:8} win this round: {}; win through here: {}'.format(\n", - " name, opponent, percents(this_round), percents(overall)))" + "For example, if our team with a 60% win percentage loses the first game of the series, then check the \"0-1\" row and the \"60%\" column to see that it still has a 54% chance of winning the series. You also have the option of updating your prior probability. Suppose after seeing our 60% team lose the first game you decide \"perhaps I was wrong about them; perhaps they're actually a 55% team\". Then you would look at the 55% column of the 0-1 row and find that their chances have slipped to 44%." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Now I enter my subjective probability estimates (low, medium, and high), and likely opponents for each round, for the three top contenders:" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Warriors vs Rockets win this round: 93% 98% 99%; win through here: 93% 98% 99%\n", - "Warriors vs Clippers win this round: 83% 91% 97%; win through here: 77% 89% 95%\n", - "Warriors vs Spurs win this round: 39% 67% 87%; win through here: 30% 60% 83%\n", - "Warriors vs Cavs win this round: 71% 83% 93%; win through here: 22% 50% 78%\n" - ] - } - ], - "source": [ - "playoffs('Warriors',\n", - " [('Rockets', (0.75, 0.83, 0.85)),\n", - " ('Clippers', (0.67, 0.73, 0.80)),\n", - " ('Spurs', (0.45, 0.58, 0.70)),\n", - " ('Cavs', (0.60, 0.67, 0.75))])" + "# Series by Series Model\n", + "\n", + "Here's a function to tabulate a team's chance of winning each series on the way to a title. The first argument is the team's name, and the second, `rounds` is a list of playoff round entries, where each entry is a tuple of the (expected) opponent team name, the game win percentage against this team, and optionally the wins and losses in the series so far:" ] }, { "cell_type": "code", "execution_count": 7, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Spurs vs Memphis win this round: 93% 98% 99%; win through here: 93% 98% 99%\n", - "Spurs vs Thunder win this round: 39% 75% 87%; win through here: 36% 73% 86%\n", - "Spurs vs Warriors win this round: 13% 33% 61%; win through here: 5% 24% 53%\n", - "Spurs vs Cavs win this round: 71% 83% 93%; win through here: 3% 20% 49%\n" - ] - } - ], + "metadata": {}, + "outputs": [], "source": [ - "playoffs('Spurs',\n", - " [('Memphis', (0.75, 0.83, 0.85)),\n", - " ('Thunder', (0.45, 0.62, 0.70)),\n", - " ('Warriors', (0.30, 0.42, 0.55)),\n", - " ('Cavs', (0.60, 0.67, 0.75))])" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cavs vs Pistons win this round: 93% 98% 99%; win through here: 93% 98% 99%\n", - "Cavs vs Hawks win this round: 39% 71% 93%; win through here: 36% 70% 92%\n", - "Cavs vs Raptors win this round: 29% 61% 80%; win through here: 11% 42% 73%\n", - "Cavs vs GSW/SAS win this round: 7% 17% 29%; win through here: 1% 7% 21%\n" - ] - } - ], - "source": [ - "playoffs('Cavs',\n", - " [('Pistons', (0.75, 0.83, 0.85)),\n", - " ('Hawks', (0.45, 0.60, 0.75)),\n", - " ('Raptors', (0.40, 0.55, 0.65)),\n", - " ('GSW/SAS', (0.25, 0.33, 0.40))])" + "def playoffs(name, rounds):\n", + " \"Print probability for team winning each series.\"\n", + " overall = 1.0 \n", + " for (opponent, p, *WL) in rounds:\n", + " this_round = win_series(p, *WL)\n", + " overall *= this_round\n", + " print('{} vs {:8} {}; through here: {}'\n", + " .format(name, opponent, pct(this_round), pct(overall)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "I have the Warriors at 50% (for the medium estimate of winning it all) and the Spurs at 20%, so I'm more of a Warriors fan than fivethirtyeight and basketball-reference, but I have very wide margins between my low and high estimate: 22% to 78% for the Warriors; 3% to 49% for the Spurs; 1% to 21% for the Cavs. Interestingly, while fivethirtyeight does not think this year's Warriors are better than the 1995 Bulls, they [do think](http://fivethirtyeight.com/features/the-warriors-still-arent-the-best-team-ever/) the Spurs, Thunder, and Cavs are the best ever second-, third-, and fourth-best teams in a season.\n", + "Here my holistic game estimates are turned into overall predictions:" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Rockets vs Wolves 93%; through here: 93%\n", + "Rockets vs Jazz 87%; through here: 81%\n", + "Rockets vs Warriors 71%; through here: 58%\n", + "Rockets vs Raptors 71%; through here: 41%\n" + ] + } + ], + "source": [ + "playoffs('Rockets',\n", + " [('Wolves', 0.75),\n", + " ('Jazz', 0.70),\n", + " ('Warriors', 0.60),\n", + " ('Raptors', 0.60)])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "So I'm in good agreement with [538](https://fivethirtyeight.com/features/the-nba-playoffs-sleepers-favorites-and-best-first-round-matchups/): I have the Rockets at 58% winning the conference and 41% winning the title, while 538 had them at 57% and 44%.\n", + "\n", + "What if I went by point differential?" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Rockets vs Wolves 88%; through here: 88%\n", + "Rockets vs Jazz 79%; through here: 69%\n", + "Rockets vs Warriors 70%; through here: 49%\n", + "Rockets vs Raptors 58%; through here: 28%\n" + ] + } + ], + "source": [ + "playoffs('Rockets',\n", + " [('Wolves', simulate(8.2 - 2.3)),\n", + " ('Jazz', simulate(8.2 - 4.5)),\n", + " ('Warriors', simulate(8.2 - 5.8)),\n", + " ('Raptors', simulate(8.2 - 7.3))])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This puts the Rockets at 48% and 28%, which is closer to the Vegas odds of 44% and 35%. How do I reconcile this discrepancy? I guess I would say that I don't have much faith in the point differential model, because it places too much emphasis on meaningless scores: for example, in the Warriors' final game, it was to their strategic advantage to lose, and they did—by 40 points, which dropped their average differential for the entire year by 0.5 points.\n", + "\n", + "Here are my projections for the hometown Warriors:" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Warriors vs Spurs 87%; through here: 87%\n", + "Warriors vs Portland 80%; through here: 70%\n", + "Warriors vs Rockets 29%; through here: 20%\n", + "Warriors vs Raptors 61%; through here: 12%\n" + ] + } + ], + "source": [ + "playoffs('Warriors',\n", + " [('Spurs', 0.70),\n", + " ('Portland', 0.65),\n", + " ('Rockets', 0.40),\n", + " ('Raptors', 0.55)])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "So I'm splitting the difference between 538's low estimate and Vegas's high estimate of the Warriors chances.\n", + "\n", + "---" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 2016 NBA Playoffs\n", "\n", "\n", + "An historical record of the 2016 playoffs.\n", "\n", - "What's better--a holistic guess at the outcome, or a reductionist model like this one? I can't say that one is better than the other in every case, but it can be instructive to examine the cases where the reductionist model differs from your holistic impressions. For example, look at the low end of my prediction for the Spurs. I feel like it is crazy to say the Spurs only have a 3% chance of winning the title, but I don't feel that any of the individual game win probabilities (75%, 45%, 30%, and 60%, respectively) are crazy. So now I know that at least one of my intutions is wrong. But I'm not sure how to reconcile the mismatch..." + "## 18 April 2016\n", + "\n", + "The Golden State Warriors have had a historic basketball season, winning more games than any other team ever has. But will they top that off by winning the championship? There are 15 other teams in contention, including one, the Spurs, that has had a historic season as the best second-best team ever. The web site fivethirtyeight, using a complicated scoring system, [gives](http://projects.fivethirtyeight.com/2016-nba-picks/) the Warriors a 44% chance of winning, with the Spurs at 28%. Basketball-reference [has](http://www.basketball-reference.com/friv/playoff_prob.cgi) the Warriors at 41% and Spurs at 32.5%, while a [betting site](http://www.oddsshark.com/nba/nba-futures) had the Warriors at 54% and Spurs at 18%. \n", + " \n", + "Here are the top four teams with their stats:\n", + "\n", + " TEAM PCT SRS\n", + " Warriors .890 10.38\n", + " Spurs .817 10.28\n", + " Thunder .671 7.09\n", + " Cavaliers .695 5.45\n", + "\n", + "I came up with my own subjective game winning percentages, informed by SRS calculations, plus injury status, etc." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Warriors vs Rockets 98%; through here: 98%\n", + "Warriors vs Clippers 91%; through here: 89%\n", + "Warriors vs Spurs 67%; through here: 60%\n", + "Warriors vs Cavs 83%; through here: 50%\n" + ] + } + ], + "source": [ + "playoffs('Warriors',\n", + " [('Rockets', 0.83),\n", + " ('Clippers', 0.73),\n", + " ('Spurs', 0.58),\n", + " ('Cavs', 0.67)])" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Spurs vs Memphis 98%; through here: 98%\n", + "Spurs vs Thunder 75%; through here: 73%\n", + "Spurs vs Warriors 33%; through here: 24%\n", + "Spurs vs Cavs 83%; through here: 20%\n" + ] + } + ], + "source": [ + "playoffs('Spurs',\n", + " [('Memphis', 0.83),\n", + " ('Thunder', 0.62),\n", + " ('Warriors', 0.42),\n", + " ('Cavs', 0.67)])" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cavs vs Pistons 98%; through here: 98%\n", + "Cavs vs Hawks 71%; through here: 70%\n", + "Cavs vs Raptors 61%; through here: 42%\n", + "Cavs vs GSW/SAS 17%; through here: 7%\n" + ] + } + ], + "source": [ + "playoffs('Cavs',\n", + " [('Pistons', 0.83),\n", + " ('Hawks', 0.60),\n", + " ('Raptors', 0.55),\n", + " ('GSW/SAS', 0.33)])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "I have the Warriors at 50% (for the estimate of winning it all) and the Spurs at 20%, so I'm more of a Warriors fan than fivethirtyeight and basketball-reference. Interestingly, while fivethirtyeight does not think this year's Warriors are better than the 1995 Bulls, they [do think](http://fivethirtyeight.com/features/the-warriors-still-arent-the-best-team-ever/) the Spurs, Thunder, and Cavs are the best ever second-, third-, and fourth-best teams in a season." ] }, { @@ -268,58 +459,31 @@ "\n", "The Playoff picture has changed! \n", "\n", - "We have some results for first-round series, and there have been key injuries to players including Steph Curry, Avery Bradley, Chris Paul, and Blake Griffin. To update, first I make a small alteration to allow the current state of a series in terms of wins/loses to be specified as part of the input to `playoffs`:" + "We have some results for first-round series, and there have been key injuries to players including Steph Curry, Avery Bradley, Chris Paul, and Blake Griffin. We don't know for sure how long Curry will be out, but here are my updated odds for the Warriors, under the assumption that Curry misses the second round, and comes back in time for the Western Conference Finals at a mildly reduced capacity:" ] }, { "cell_type": "code", - "execution_count": 9, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "def playoffs(name, rounds):\n", - " \"Print probability for team winning each series.\"\n", - " overall = (1, 1, 1) # (lo, med, hi) probabilities of winning it all\n", - " for (opponent, probs, *args) in rounds:\n", - " this_round = [win_series(p, *args) for p in probs]\n", - " overall = [overall[i] * this_round[i] for i in range(len(probs))]\n", - " print('{} vs {:8} win this round: ({}) win through here: ({})'.format(\n", - " name, opponent, percents(this_round), percents(overall)))" - ] - }, - { - "cell_type": "markdown", + "execution_count": 14, "metadata": {}, - "source": [ - "We don't know for sure how long Curry will be out, but here are my updated odds for the Warriors, with the middle probability value representing the assumption that Curry misses the second round, and comes back in time for the Western Conference Finals at a mildly reduced capacity; the low and high probability values represent more and less severe injuries:" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": { - "collapsed": false - }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Warriors vs Rockets win this round: ( 88% 97% 99%) win through here: ( 88% 97% 99%)\n", - "Warriors vs Blazers win this round: ( 39% 61% 83%) win through here: ( 34% 59% 83%)\n", - "Warriors vs Spurs win this round: ( 13% 61% 83%) win through here: ( 4% 36% 69%)\n", - "Warriors vs Cavs win this round: ( 29% 71% 87%) win through here: ( 1% 26% 60%)\n" + "Warriors vs Rockets 97%; through here: 97%\n", + "Warriors vs Blazers 61%; through here: 59%\n", + "Warriors vs Spurs 61%; through here: 36%\n", + "Warriors vs Cavs 71%; through here: 26%\n" ] } ], "source": [ "playoffs('Warriors',\n", - " [('Rockets', (0.50, 0.70, 0.80), 3, 1),\n", - " ('Blazers', (0.45, 0.55, 0.67)),\n", - " ('Spurs', (0.30, 0.55, 0.67)),\n", - " ('Cavs', (0.40, 0.60, 0.70))])" + " [('Rockets', 0.70, 3, 1),\n", + " ('Blazers', 0.55),\n", + " ('Spurs', 0.55),\n", + " ('Cavs', 0.60)])" ] }, { @@ -331,54 +495,50 @@ }, { "cell_type": "code", - "execution_count": 11, - "metadata": { - "collapsed": false - }, + "execution_count": 15, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Spurs vs Memphis win this round: (100% 100% 100%) win through here: (100% 100% 100%)\n", - "Spurs vs Thunder win this round: ( 39% 75% 87%) win through here: ( 39% 75% 87%)\n", - "Spurs vs Warriors win this round: ( 17% 39% 87%) win through here: ( 7% 29% 76%)\n", - "Spurs vs Cavs win this round: ( 71% 83% 93%) win through here: ( 5% 24% 71%)\n" + "Spurs vs Memphis 100%; through here: 100%\n", + "Spurs vs Thunder 75%; through here: 75%\n", + "Spurs vs Warriors 39%; through here: 29%\n", + "Spurs vs Cavs 83%; through here: 24%\n" ] } ], "source": [ "playoffs('Spurs',\n", - " [('Memphis', (0.75, 0.83, 0.85), 4, 0),\n", - " ('Thunder', (0.45, 0.62, 0.70)),\n", - " ('Warriors', (0.33, 0.45, 0.70)),\n", - " ('Cavs', (0.60, 0.67, 0.75))])" + " [('Memphis', 0.83, 4, 0),\n", + " ('Thunder', 0.62),\n", + " ('Warriors', 0.45),\n", + " ('Cavs', 0.67)])" ] }, { "cell_type": "code", - "execution_count": 12, - "metadata": { - "collapsed": false - }, + "execution_count": 16, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Cavs vs Pistons win this round: (100% 100% 100%) win through here: (100% 100% 100%)\n", - "Cavs vs Hawks win this round: ( 39% 71% 93%) win through here: ( 39% 71% 93%)\n", - "Cavs vs Raptors win this round: ( 29% 61% 80%) win through here: ( 11% 43% 74%)\n", - "Cavs vs GSW/SAS win this round: ( 13% 29% 71%) win through here: ( 1% 13% 53%)\n" + "Cavs vs Pistons 100%; through here: 100%\n", + "Cavs vs Hawks 71%; through here: 71%\n", + "Cavs vs Raptors 61%; through here: 43%\n", + "Cavs vs GSW/SAS 29%; through here: 13%\n" ] } ], "source": [ "playoffs('Cavs',\n", - " [('Pistons', (0.75, 0.83, 0.85), 4, 0),\n", - " ('Hawks', (0.45, 0.60, 0.75)),\n", - " ('Raptors', (0.40, 0.55, 0.65)),\n", - " ('GSW/SAS', (0.30, 0.40, 0.60))])" + " [('Pistons', 0.83, 4, 0),\n", + " ('Hawks', 0.60),\n", + " ('Raptors', 0.55),\n", + " ('GSW/SAS', 0.40)])" ] }, { @@ -402,106 +562,98 @@ }, { "cell_type": "code", - "execution_count": 13, - "metadata": { - "collapsed": false - }, + "execution_count": 17, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Warriors vs Rockets win this round: (100% 100% 100%) win through here: (100% 100% 100%)\n", - "Warriors vs Blazers win this round: ( 91% 96% 98%) win through here: ( 91% 96% 98%)\n", - "Warriors vs Spurs win this round: ( 39% 71% 83%) win through here: ( 36% 68% 82%)\n", - "Warriors vs Cavs win this round: ( 29% 61% 83%) win through here: ( 10% 42% 68%)\n" + "Warriors vs Rockets 100%; through here: 100%\n", + "Warriors vs Blazers 96%; through here: 96%\n", + "Warriors vs Spurs 71%; through here: 68%\n", + "Warriors vs Cavs 61%; through here: 42%\n" ] } ], "source": [ "playoffs('Warriors',\n", - " [('Rockets', (0.50, 0.70, 0.80), 4, 1),\n", - " ('Blazers', (0.55, 0.67, 0.75), 3, 1),\n", - " ('Spurs', (0.45, 0.60, 0.67)),\n", - " ('Cavs', (0.40, 0.55, 0.67))])" + " [('Rockets', 0.70, 4, 1),\n", + " ('Blazers', 0.67, 3, 1),\n", + " ('Spurs', 0.60),\n", + " ('Cavs', 0.55)])" ] }, { "cell_type": "code", - "execution_count": 14, - "metadata": { - "collapsed": false - }, + "execution_count": 18, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Spurs vs Memphis win this round: (100% 100% 100%) win through here: (100% 100% 100%)\n", - "Spurs vs Thunder win this round: ( 16% 36% 49%) win through here: ( 16% 36% 49%)\n", - "Spurs vs Warriors win this round: ( 17% 29% 61%) win through here: ( 3% 10% 30%)\n", - "Spurs vs Cavs win this round: ( 29% 50% 87%) win through here: ( 1% 5% 26%)\n" + "Spurs vs Memphis 100%; through here: 100%\n", + "Spurs vs Thunder 36%; through here: 36%\n", + "Spurs vs Warriors 29%; through here: 10%\n", + "Spurs vs Cavs 50%; through here: 5%\n" ] } ], "source": [ "playoffs('Spurs',\n", - " [('Memphis', (0.75, 0.83, 0.85), 4, 0),\n", - " ('Thunder', (0.40, 0.60, 0.70), 2, 3),\n", - " ('Warriors', (0.33, 0.40, 0.55)),\n", - " ('Cavs', (0.40, 0.50, 0.70))])" + " [('Memphis', 0.83, 4, 0),\n", + " ('Thunder', 0.60, 2, 3),\n", + " ('Warriors', 0.40),\n", + " ('Cavs', 0.50)])" ] }, { "cell_type": "code", - "execution_count": 15, - "metadata": { - "collapsed": false - }, + "execution_count": 19, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Thunder vs Dallas win this round: (100% 100% 100%) win through here: (100% 100% 100%)\n", - "Thunder vs Spurs win this round: ( 51% 64% 84%) win through here: ( 51% 64% 84%)\n", - "Thunder vs Warriors win this round: ( 17% 29% 61%) win through here: ( 9% 19% 51%)\n", - "Thunder vs Cavs win this round: ( 20% 39% 71%) win through here: ( 2% 7% 36%)\n" + "Thunder vs Dallas 100%; through here: 100%\n", + "Thunder vs Spurs 64%; through here: 64%\n", + "Thunder vs Warriors 29%; through here: 19%\n", + "Thunder vs Cavs 39%; through here: 7%\n" ] } ], "source": [ "playoffs('Thunder',\n", - " [('Dallas', (0.75, 0.83, 0.85), 4, 1),\n", - " ('Spurs', (0.30, 0.40, 0.60), 3, 2),\n", - " ('Warriors', (0.33, 0.40, 0.55)),\n", - " ('Cavs', (0.35, 0.45, 0.60))])" + " [('Dallas', 0.83, 4, 1),\n", + " ('Spurs', 0.40, 3, 2),\n", + " ('Warriors', 0.40),\n", + " ('Cavs', 0.45)])" ] }, { "cell_type": "code", - "execution_count": 16, - "metadata": { - "collapsed": false - }, + "execution_count": 20, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Cavs vs Pistons win this round: (100% 100% 100%) win through here: (100% 100% 100%)\n", - "Cavs vs Hawks win this round: (100% 100% 100%) win through here: (100% 100% 100%)\n", - "Cavs vs Raptors win this round: ( 50% 80% 93%) win through here: ( 50% 80% 93%)\n", - "Cavs vs GS/SA/OK win this round: ( 17% 39% 61%) win through here: ( 8% 31% 57%)\n" + "Cavs vs Pistons 100%; through here: 100%\n", + "Cavs vs Hawks 100%; through here: 100%\n", + "Cavs vs Raptors 80%; through here: 80%\n", + "Cavs vs GS/SA/OK 39%; through here: 31%\n" ] } ], "source": [ "playoffs('Cavs',\n", - " [('Pistons', (0.75, 0.83, 0.85), 4, 0),\n", - " ('Hawks', (0.45, 0.60, 0.75), 4, 0),\n", - " ('Raptors', (0.50, 0.65, 0.75)),\n", - " ('GS/SA/OK', (0.33, 0.45, 0.55))])" + " [('Pistons', 0.83, 4, 0),\n", + " ('Hawks', 0.60, 4, 0),\n", + " ('Raptors', 0.65),\n", + " ('GS/SA/OK', 0.45)])" ] }, { @@ -515,104 +667,37 @@ "- **Thunder:** Increased to 7%.\n", "- **Cavs:** Increased to 31%.\n", "\n", - "# Time to Panic?\n", + "# Time to Panic Yet?\n", "\n", "## 17 May 2016\n", "\n", - "The Thunder finished off the Spurs and beat the Warriors in game 1. Are the Thunder, like the Cavs, peaking at just the right time, after an inconsistent regular season? Is it time for Warriors fans to panic?\n", + "The Thunder finished off the Spurs and beat the Warriors in game 1. Are the Thunder, like the Cavs, peaking at just the right time, after an inconsistant regular season? Is it time for Warriors fans to panic?\n", "\n", "Sure, the Warriors were down a game twice in last year's playoffs and came back to win both times. Sure, the Warriors are still 3-1 against the Thunder this year, and only lost two games all season to elite teams (Spurs, Thunder, Cavs, Clippers, Raptors). But the Thunder are playing at a top level. Here's my update, showing that the loss cost the Warriors 5%:" ] }, { "cell_type": "code", - "execution_count": 17, - "metadata": { - "collapsed": false - }, + "execution_count": 21, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Warriors vs Rockets win this round: (100% 100% 100%) win through here: (100% 100% 100%)\n", - "Warriors vs Blazers win this round: (100% 100% 100%) win through here: (100% 100% 100%)\n", - "Warriors vs Thunder win this round: ( 26% 61% 74%) win through here: ( 26% 61% 74%)\n", - "Warriors vs Cavs win this round: ( 29% 61% 80%) win through here: ( 7% 37% 60%)\n" + "Warriors vs Rockets 100%; through here: 100%\n", + "Warriors vs Blazers 100%; through here: 100%\n", + "Warriors vs Thunder 61%; through here: 61%\n", + "Warriors vs Cavs 61%; through here: 37%\n" ] } ], "source": [ "playoffs('Warriors',\n", - " [('Rockets', (0.50, 0.70, 0.80), 4, 1),\n", - " ('Blazers', (0.55, 0.67, 0.75), 4, 1),\n", - " ('Thunder', (0.45, 0.63, 0.70), 0, 1),\n", - " ('Cavs', (0.40, 0.55, 0.65))])" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "collapsed": true - }, - "source": [ - "# Not Yet?\n", - "\n", - "## 18 May 2016\n", - "\n", - "The Warriors won game two of the series, so now they're back up to 45%, with the Cavs at 35%. At this time, [fivethirtyeight](http://projects.fivethirtyeight.com/2016-nba-picks/) has the Warriors at 45%, Cavs at 28% and Thunder at 24%" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Warriors vs Rockets win this round: (100% 100% 100%) win through here: (100% 100% 100%)\n", - "Warriors vs Blazers win this round: (100% 100% 100%) win through here: (100% 100% 100%)\n", - "Warriors vs Thunder win this round: ( 41% 73% 84%) win through here: ( 41% 73% 84%)\n", - "Warriors vs Cavs win this round: ( 29% 61% 80%) win through here: ( 12% 45% 67%)\n" - ] - } - ], - "source": [ - "playoffs('Warriors',\n", - " [('Rockets', (0.50, 0.70, 0.80), 4, 1),\n", - " ('Blazers', (0.55, 0.67, 0.75), 4, 1),\n", - " ('Thunder', (0.45, 0.63, 0.70), 1, 1),\n", - " ('Cavs', (0.40, 0.55, 0.65))])" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cavs vs Pistons win this round: (100% 100% 100%) win through here: (100% 100% 100%)\n", - "Cavs vs Hawks win this round: (100% 100% 100%) win through here: (100% 100% 100%)\n", - "Cavs vs Raptors win this round: ( 66% 88% 96%) win through here: ( 66% 88% 96%)\n", - "Cavs vs GSW win this round: ( 20% 39% 71%) win through here: ( 13% 35% 68%)\n" - ] - } - ], - "source": [ - "playoffs('Cavs',\n", - " [('Pistons', (0.75, 0.83, 0.85), 4, 0),\n", - " ('Hawks', (0.45, 0.60, 0.75), 4, 0),\n", - " ('Raptors', (0.50, 0.65, 0.75), 1, 0),\n", - " ('GSW', (0.35, 0.45, 0.60))])" + " [('Rockets', 0.70, 4, 1),\n", + " ('Blazers', 0.67, 4, 1),\n", + " ('Thunder', 0.63, 0, 1),\n", + " ('Cavs', 0.55)])" ] }, { @@ -628,169 +713,74 @@ }, { "cell_type": "code", - "execution_count": 20, - "metadata": { - "collapsed": false - }, + "execution_count": 22, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Warriors vs Rockets win this round: (100% 100% 100%) win through here: (100% 100% 100%)\n", - "Warriors vs Blazers win this round: (100% 100% 100%) win through here: (100% 100% 100%)\n", - "Warriors vs Thunder win this round: ( 2% 17% 27%) win through here: ( 2% 17% 27%)\n", - "Warriors vs Cavs win this round: ( 29% 61% 80%) win through here: ( 0% 10% 22%)\n" + "Warriors vs Rockets 100%; through here: 100%\n", + "Warriors vs Blazers 100%; through here: 100%\n", + "Warriors vs Thunder 17%; through here: 17%\n", + "Warriors vs Cavs 61%; through here: 10%\n" ] } ], "source": [ "playoffs('Warriors',\n", - " [('Rockets', (0.50, 0.70, 0.80), 4, 1),\n", - " ('Blazers', (0.55, 0.67, 0.75), 4, 1),\n", - " ('Thunder', (0.25, 0.55, 0.65), 1, 3),\n", - " ('Cavs', (0.40, 0.55, 0.65))])" - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cavs vs Pistons win this round: (100% 100% 100%) win through here: (100% 100% 100%)\n", - "Cavs vs Hawks win this round: (100% 100% 100%) win through here: (100% 100% 100%)\n", - "Cavs vs Raptors win this round: ( 50% 57% 78%) win through here: ( 50% 57% 78%)\n", - "Cavs vs Thunder win this round: ( 20% 39% 71%) win through here: ( 10% 23% 56%)\n" - ] - } - ], - "source": [ - "playoffs('Cavs',\n", - " [('Pistons', (0.75, 0.83, 0.85), 4, 0),\n", - " ('Hawks', (0.45, 0.60, 0.75), 4, 0),\n", - " ('Raptors', (0.50, 0.55, 0.70), 2, 2),\n", - " ('Thunder', (0.35, 0.45, 0.60))])" - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Thunder vs Dallas win this round: (100% 100% 100%) win through here: (100% 100% 100%)\n", - "Thunder vs Spurs win this round: (100% 100% 100%) win through here: (100% 100% 100%)\n", - "Thunder vs Warriors win this round: ( 73% 83% 98%) win through here: ( 73% 83% 98%)\n", - "Thunder vs Cavs win this round: ( 29% 61% 80%) win through here: ( 21% 51% 79%)\n" - ] - } - ], - "source": [ - "playoffs('Thunder',\n", - " [('Dallas', (0.75, 0.83, 0.85), 4, 1),\n", - " ('Spurs', (0.30, 0.40, 0.60), 4, 2),\n", - " ('Warriors', (0.35, 0.45, 0.75), 3, 1),\n", - " ('Cavs', (0.40, 0.55, 0.65))])" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# But Not Done Yet\n", - "\n", - "## 26 May 2016\n", - "\n", - "The Warriors won game 5, bringing them up from a 10% to an 18% chance of winning it all:" + " [('Rockets', 0.70, 4, 1),\n", + " ('Blazers', 0.67, 4, 1),\n", + " ('Thunder', 0.55, 1, 3),\n", + " ('Cavs', 0.55)])" ] }, { "cell_type": "code", "execution_count": 23, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Warriors vs Rockets win this round: (100% 100% 100%) win through here: (100% 100% 100%)\n", - "Warriors vs Blazers win this round: (100% 100% 100%) win through here: (100% 100% 100%)\n", - "Warriors vs Thunder win this round: ( 12% 30% 42%) win through here: ( 12% 30% 42%)\n", - "Warriors vs Cavs win this round: ( 29% 61% 80%) win through here: ( 4% 18% 34%)\n" - ] - } - ], - "source": [ - "playoffs('Warriors',\n", - " [('Rockets', (0.50, 0.70, 0.80), 4, 1),\n", - " ('Blazers', (0.55, 0.67, 0.75), 4, 1),\n", - " ('Thunder', (0.35, 0.55, 0.65), 2, 3),\n", - " ('Cavs', (0.40, 0.55, 0.65))])" - ] - }, - { - "cell_type": "code", - "execution_count": 24, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cavs vs Pistons win this round: (100% 100% 100%) win through here: (100% 100% 100%)\n", - "Cavs vs Hawks win this round: (100% 100% 100%) win through here: (100% 100% 100%)\n", - "Cavs vs Raptors win this round: ( 75% 80% 91%) win through here: ( 75% 80% 91%)\n", - "Cavs vs Thunder win this round: ( 20% 39% 71%) win through here: ( 15% 31% 65%)\n" + "Cavs vs Pistons 100%; through here: 100%\n", + "Cavs vs Hawks 100%; through here: 100%\n", + "Cavs vs Raptors 57%; through here: 57%\n", + "Cavs vs Thunder 39%; through here: 23%\n" ] } ], "source": [ "playoffs('Cavs',\n", - " [('Pistons', (0.75, 0.83, 0.85), 4, 0),\n", - " ('Hawks', (0.45, 0.60, 0.75), 4, 0),\n", - " ('Raptors', (0.50, 0.55, 0.70), 3, 2),\n", - " ('Thunder', (0.35, 0.45, 0.60))])" + " [('Pistons', 0.83, 4, 0),\n", + " ('Hawks', 0.60, 4, 0),\n", + " ('Raptors', 0.55, 2, 2),\n", + " ('Thunder', 0.45)])" ] }, { "cell_type": "code", - "execution_count": 25, - "metadata": { - "collapsed": false - }, + "execution_count": 24, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Thunder vs Dallas win this round: (100% 100% 100%) win through here: (100% 100% 100%)\n", - "Thunder vs Spurs win this round: (100% 100% 100%) win through here: (100% 100% 100%)\n", - "Thunder vs Warriors win this round: ( 58% 70% 94%) win through here: ( 58% 70% 94%)\n", - "Thunder vs Cavs win this round: ( 29% 61% 80%) win through here: ( 17% 42% 75%)\n" + "Thunder vs Dallas 100%; through here: 100%\n", + "Thunder vs Spurs 100%; through here: 100%\n", + "Thunder vs Warriors 83%; through here: 83%\n", + "Thunder vs Cavs 61%; through here: 51%\n" ] } ], "source": [ "playoffs('Thunder',\n", - " [('Dallas', (0.75, 0.83, 0.85), 4, 1),\n", - " ('Spurs', (0.30, 0.40, 0.60), 4, 2),\n", - " ('Warriors', (0.35, 0.45, 0.75), 3, 2),\n", - " ('Cavs', (0.40, 0.55, 0.65))])" + " [('Dallas', 0.83, 4, 1),\n", + " ('Spurs', 0.40, 4, 2),\n", + " ('Warriors', 0.45, 3, 1),\n", + " ('Cavs', 0.55)])" ] }, { @@ -799,46 +789,44 @@ "collapsed": true }, "source": [ - "# The Finals\n", + "# The 2016 Finals\n", "\n", "## 1 June 2016\n", "\n", - "The Warriors completed their comeback against the Thunder, putting them in a great position to win this year (and they are already established as [favorites for next year](http://www.foxsports.com/nba/story/golden-state-warriors-title-favorites-cleveland-cavaliers-odds-2016-17-053016)). Rather than update the odds after each game 0f the finals, I'll just repeat the table (with the note that I think the Warriors are somewhere in the 60% range for each game):\n" + "The Warriors completed their comeback against the Thunder, putting them in a great position to win this year (and they are already established as [favorites for next year](http://www.foxsports.com/nba/story/golden-state-warriors-title-favorites-cleveland-cavaliers-odds-2016-17-053016)). Rather than update the odds after each game of the finals, I'll just repeat the table (with the note that I think the Warriors are somewhere in the 60% range for each game and thus about 70% to win the finals):\n" ] }, { "cell_type": "code", - "execution_count": 26, - "metadata": { - "collapsed": false - }, + "execution_count": 25, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "W-L | Singe Game Win Percentage\n", + "W-L | Game Win Percentage\n", " | 20% 25% 30% 35% 40% 45% 50% 55% 60% 65% 70% 75% 80%\n", "----+-----------------------------------------------------------------\n", - "0-3 | 0% 0% 1% 2% 3% 4% 6% 9% 13% 18% 24% 32% 41%\n", - "0-2 | 1% 2% 3% 5% 9% 13% 19% 26% 34% 43% 53% 63% 74%\n", - "0-1 | 2% 4% 7% 12% 18% 26% 34% 44% 54% 65% 74% 83% 90%\n", "0-0 | 3% 7% 13% 20% 29% 39% 50% 61% 71% 80% 87% 93% 97%\n", + "0-1 | 2% 4% 7% 12% 18% 26% 34% 44% 54% 65% 74% 83% 90%\n", + "0-2 | 1% 2% 3% 5% 9% 13% 19% 26% 34% 43% 53% 63% 74%\n", + "0-3 | 0% 0% 1% 2% 3% 4% 6% 9% 13% 18% 24% 32% 41%\n", "----+-----------------------------------------------------------------\n", - "1-3 | 1% 2% 3% 4% 6% 9% 12% 17% 22% 27% 34% 42% 51%\n", - "1-2 | 3% 5% 8% 13% 18% 24% 31% 39% 48% 56% 65% 74% 82%\n", - "1-1 | 6% 10% 16% 24% 32% 41% 50% 59% 68% 76% 84% 90% 94%\n", "1-0 | 10% 17% 26% 35% 46% 56% 66% 74% 82% 88% 93% 96% 98%\n", + "1-1 | 6% 10% 16% 24% 32% 41% 50% 59% 68% 76% 84% 90% 94%\n", + "1-2 | 3% 5% 8% 13% 18% 24% 31% 39% 48% 56% 65% 74% 82%\n", + "1-3 | 1% 2% 3% 4% 6% 9% 12% 17% 22% 27% 34% 42% 51%\n", "----+-----------------------------------------------------------------\n", - "2-3 | 4% 6% 9% 12% 16% 20% 25% 30% 36% 42% 49% 56% 64%\n", - "2-2 | 10% 16% 22% 28% 35% 43% 50% 57% 65% 72% 78% 84% 90%\n", - "2-1 | 18% 26% 35% 44% 52% 61% 69% 76% 82% 87% 92% 95% 97%\n", "2-0 | 26% 37% 47% 57% 66% 74% 81% 87% 91% 95% 97% 98% 99%\n", + "2-1 | 18% 26% 35% 44% 52% 61% 69% 76% 82% 87% 92% 95% 97%\n", + "2-2 | 10% 16% 22% 28% 35% 43% 50% 57% 65% 72% 78% 84% 90%\n", + "2-3 | 4% 6% 9% 12% 16% 20% 25% 30% 36% 42% 49% 56% 64%\n", "----+-----------------------------------------------------------------\n", - "3-3 | 20% 25% 30% 35% 40% 45% 50% 55% 60% 65% 70% 75% 80%\n", - "3-2 | 36% 44% 51% 58% 64% 70% 75% 80% 84% 88% 91% 94% 96%\n", + "3-0 | 59% 68% 76% 82% 87% 91% 94% 96% 97% 98% 99% 100% 100%\n", "3-1 | 49% 58% 66% 73% 78% 83% 88% 91% 94% 96% 97% 98% 99%\n", - "3-0 | 59% 68% 76% 82% 87% 91% 94% 96% 97% 98% 99% 100% 100%\n" + "3-2 | 36% 44% 51% 58% 64% 70% 75% 80% 84% 88% 91% 94% 96%\n", + "3-3 | 20% 25% 30% 35% 40% 45% 50% 55% 60% 65% 70% 75% 80%\n" ] } ], @@ -863,9 +851,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.5.1" + "version": "3.5.3" } }, "nbformat": 4, - "nbformat_minor": 0 + "nbformat_minor": 1 } From 8e56e194bf8f7e7d24adf0430c44b21ed770cca0 Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Fri, 13 Apr 2018 03:06:44 -0700 Subject: [PATCH 65/90] Update README.md --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index 00dc3d9..cd352c1 100644 --- a/README.md +++ b/README.md @@ -21,7 +21,7 @@ Some are in Jupyter (IPython) notebooks, some in `.py` files. You can view the f |[When is Cheryl's Birthday?](https://github.com/norvig/pytudes/blob/master/ipynb/Cheryl.ipynb)
*Solving the "Cheryl's Birthday" logic puzzle.*| |[When Cheryl Met Eve: A Birthday Story](https://github.com/norvig/pytudes/blob/master/ipynb/Cheryl-and-Eve.ipynb)
*Inventing new puzzles in the Style of Cheryl's Birthday.*| |[Sol Golomb's Rectangle Puzzle](https://github.com/norvig/pytudes/blob/master/ipynb/Golomb-Puzzle.ipynb)
*A Puzzle involving placing rectangles of different sizes inside a square. Bonus: cryptarithmetic.*| -|[WWW: Will Warriors Win?](https://github.com/norvig/pytudes/blob/master/ipynb/WWW.ipynb)
*Golden State Warriors probability of winning the 2016 NBA title.*| +|[WWW: Who WIll Win (NBA Title)?](https://github.com/norvig/pytudes/blob/master/ipynb/WWW.ipynb)
*Golden State Warriors probability of winning the 2016 NBA title.*| |[The Riddler: Battle Royale](https://github.com/norvig/pytudes/blob/master/ipynb/Riddler%20Battle%20Royale.ipynb)
*A puzzle involving allocating your troops and going up against an opponent.*| |Math Concepts| From b3bd3a665b9b3a536f9dfea57fb9e791e1cf2740 Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Fri, 13 Apr 2018 14:42:07 -0700 Subject: [PATCH 66/90] Add files via upload --- ipynb/WWW.ipynb | 74 ++++++++++++++++++++++++++++--------------------- 1 file changed, 43 insertions(+), 31 deletions(-) diff --git a/ipynb/WWW.ipynb b/ipynb/WWW.ipynb index f1a6ccd..dcd468e 100644 --- a/ipynb/WWW.ipynb +++ b/ipynb/WWW.ipynb @@ -8,7 +8,7 @@ "\n", "## 12 April, 2018\n", "\n", - "\"It's tough to make predictions, especially [about](https://en.wikiquote.org/wiki/Yogi_Berra) [the](https://en.wikiquote.org/wiki/Niels_Bohr) future.\" That's true for the **NBA basketball playoffs**, where the Rockets are the favorites, with a 44% chance of winning the title according to [538](https://fivethirtyeight.com/features/the-nba-playoffs-sleepers-favorites-and-best-first-round-matchups/), and 35% according to the Las Vegas oddsmakers, a relatively small difference of opinion. But there are some big discrepancies: the Warriors are tied with the Rockets at 35% according to Vegas, but stand at only 4% according to 538. That 9-fold difference underscores that rational people can use different models with different assumptions and come to different conclusions. Here are some models you might choose:\n", + "\"It's tough to make predictions, especially [about](https://en.wikiquote.org/wiki/Yogi_Berra) [the](https://en.wikiquote.org/wiki/Niels_Bohr) future.\" That's true for the **NBA basketball playoffs**, where there is a difference of opinion over the probable fates of the Warriors and Cavs, the teams that met in the finals each of the last three years. The Las Vegas oddsmakers have the Warriors as co-favorites at 35% chance to win the title, while [538](https://fivethirtyeight.com/features/the-nba-playoffs-sleepers-favorites-and-best-first-round-matchups/), using their ELO rating, give the Warriors only a 4% chance. That 9-fold difference underscores that rational people can use different models with different assumptions and come to different conclusions. Here are some models you might choose:\n", "\n", "1. **Holistic**: \"I just feel that the Rockets have about a 1/3 chance of winning it all.\"\n", "2. **Game by Game**: \"I think the Rockets have an 75% chance of winning each game in the first round, then 70% in the next round, then 60%; from that I'll calculate their overall chance.\"\n", @@ -33,23 +33,34 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "from statistics import mean\n", "from random import gauss\n", "\n", - "def simulate(diff, 𝝈=10.5, n=10000):\n", + "def simulate(diff, 𝝈=10.5, n=100000):\n", " \"Given SRS point differential of two teams, return favored team's win probability.\"\n", " return mean(gauss(diff, 𝝈) > 0 for game in range(n))" ] }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 29, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "0.61204" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "simulate(7.3 - 4.3) # Raptors win probability vs Sixers" ] @@ -63,22 +74,22 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "0 point differential = 51% win game\n", - "1 point differential = 53% win game\n", - "2 point differential = 58% win game\n", + "0 point differential = 50% win game\n", + "1 point differential = 54% win game\n", + "2 point differential = 57% win game\n", "3 point differential = 61% win game\n", - "4 point differential = 66% win game\n", + "4 point differential = 65% win game\n", "5 point differential = 68% win game\n", "6 point differential = 72% win game\n", "7 point differential = 75% win game\n", - "8 point differential = 78% win game\n", + "8 point differential = 77% win game\n", "9 point differential = 80% win game\n" ] } @@ -105,7 +116,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 31, "metadata": {}, "outputs": [], "source": [ @@ -121,40 +132,43 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "We can make another table:" + "We can extend the table:" ] }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 33, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "% win game = 50.0% win series\n", - "% win game = 60.8% win series\n", - "% win game = 71.0% win series\n", - "% win game = 80.0% win series\n", - "% win game = 87.4% win series\n", - "% win game = 92.9% win series\n", - "% win game = 96.7% win series\n", - "% win game = 98.8% win series\n", - "% win game = 99.7% win series\n" + "0 point differential = 50% win game = 50% win series\n", + "1 point differential = 54% win game = 58% win series\n", + "2 point differential = 58% win game = 66% win series\n", + "3 point differential = 61% win game = 73% win series\n", + "4 point differential = 65% win game = 80% win series\n", + "5 point differential = 68% win game = 85% win series\n", + "6 point differential = 72% win game = 89% win series\n", + "7 point differential = 75% win game = 93% win series\n", + "8 point differential = 78% win game = 95% win series\n", + "9 point differential = 80% win game = 97% win series\n" ] } ], "source": [ - "for p in range(50, 95, 5):\n", - " print(format('{}% win game = {:5.1%} win series'.format(pct, win_series(p/100))))" + "for diff in range(10):\n", + " game = simulate(diff)\n", + " series = win_series(game)\n", + " print(diff, 'point differential =', pct(game), 'win game =', pct(series), 'win series')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "For example, if a team has a 60% chance of winning each game, then it has an 71% chance of winning the series. This model ignores the fact that games aren't strictly independent, and ignores home court advantage. Why? Because these factors would change the final winning estimate by only a few percentage points, and I already have more uncertainty than that. \n", + "For example, a team with a 3 point differential advantage has a 61% chance of winning each game in a series, and a 73% chance of winning the series. This model ignores the fact that games aren't strictly independent, and ignores home court advantage. Why? Because these factors would change the final winning estimate by only a few percentage points, and I already have more uncertainty than that. \n", "\n", "What happens if some games in a series have already been played? The following function prints a table where each row tells a team's current win-loss record, each column is the game win percentage, and each entry in the table is the series win percentage." ] @@ -306,7 +320,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "This puts the Rockets at 48% and 28%, which is closer to the Vegas odds of 44% and 35%. How do I reconcile this discrepancy? I guess I would say that I don't have much faith in the point differential model, because it places too much emphasis on meaningless scores: for example, in the Warriors' final game, it was to their strategic advantage to lose, and they did—by 40 points, which dropped their average differential for the entire year by 0.5 points.\n", + "This puts the Rockets at 48% and 28%, which is closer to the Vegas odds of 44% and 35%. How do I reconcile this discrepancy? I guess I would say that I don't have much faith in the point differential model, for several reasons: it counts games from the distant past, when some teams had very different lineups than they have now (due to injuries and trades); different teams have different approaches to how they handle games whose outcome is already decided; the metric puts too much emphasis on blowouts, for example, in the Warriors' final game, it was to their strategic advantage to lose, and they did it very convincingly—by 40 points, which dropped their average point differential for the entire year by 0.5 points.\n", "\n", "Here are my projections for the hometown Warriors:" ] @@ -339,7 +353,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "So I'm splitting the difference between 538's low estimate and Vegas's high estimate of the Warriors chances.\n", + "So I'm splitting the difference between 538's low estimate (8% win conference, 4% win title) and Vegas's high estimate (44% win conference, 35% win title).\n", "\n", "---" ] @@ -348,11 +362,9 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# 2016 NBA Playoffs\n", + "# Historical Relic: 2016 NBA Playoffs\n", "\n", "\n", - "An historical record of the 2016 playoffs.\n", - "\n", "## 18 April 2016\n", "\n", "The Golden State Warriors have had a historic basketball season, winning more games than any other team ever has. But will they top that off by winning the championship? There are 15 other teams in contention, including one, the Spurs, that has had a historic season as the best second-best team ever. The web site fivethirtyeight, using a complicated scoring system, [gives](http://projects.fivethirtyeight.com/2016-nba-picks/) the Warriors a 44% chance of winning, with the Spurs at 28%. Basketball-reference [has](http://www.basketball-reference.com/friv/playoff_prob.cgi) the Warriors at 41% and Spurs at 32.5%, while a [betting site](http://www.oddsshark.com/nba/nba-futures) had the Warriors at 54% and Spurs at 18%. \n", From e78bd1f692d2173dcd8a4a5ebb9b98f014357026 Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Fri, 13 Apr 2018 14:43:11 -0700 Subject: [PATCH 67/90] Add files via upload From 8c2e90f6abfe0fa403aa2ea1411eda65443c663f Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Fri, 13 Apr 2018 15:05:11 -0700 Subject: [PATCH 68/90] Add files via upload --- ipynb/Golomb-Puzzle.ipynb | 57 +++++++++++++++++++-------------------- 1 file changed, 27 insertions(+), 30 deletions(-) diff --git a/ipynb/Golomb-Puzzle.ipynb b/ipynb/Golomb-Puzzle.ipynb index f7480ea..8c6e852 100644 --- a/ipynb/Golomb-Puzzle.ipynb +++ b/ipynb/Golomb-Puzzle.ipynb @@ -13,7 +13,7 @@ "source": [ "This problem by Solomon Golomb was presented by Gary Antonik in his 14/4/14 New York Times [Numberplay column](http://wordplay.blogs.nytimes.com/2014/04/14/rectangle):\n", "\n", - ">Say you’re given the following challenge: create a set of five rectangles that have sides of length 1, 2, 3, 4, 5, 6, 7, 8, 9 and 10 units. You can combine sides in a variety of ways: for example, you could create a set of rectangles with dimensions 1 x 3, 2 x 4, 5 x 7, 6 x 8 and 9 x 10.\n", + ">Say you’re given the following challenge: create a set of five rectangles that have sides of length 1, 2, 3, 4, 5, 6, 7, 8, 9 and 10 units. You can combine sides in a variety of ways: for example, you could create a set of rectangles with dimensions 1 x 3, 2 x 4, 5 x 7, 6 x 8 and 9 x 10.\n", ">\n", ">1. How many different sets of five rectangles are possible?\n", ">\n", @@ -21,7 +21,7 @@ ">\n", ">3. What other values for the total areas of the five rectangles are possible?\n", ">\n", - ">4. Which sets of rectangles may be assembled to form a square?\n", + ">4. Which sets of rectangles may be assembled to form a square?\n", "\n", "To me, these are interesting questions because, first, I have a (slight) personal connection to Solomon Golomb (my former colleague at USC) and to Nelson Blachman (the father of my colleague Nancy Blachman), who presented the problem to Antonik, and second, I find it interesting that the problems span the range from mathematical to computational. Let's answer them." ] @@ -645,7 +645,7 @@ "\n", "In Way 1, we could pre-sort the rectangles (say, biggest first). Then we try to put the biggest rectangle in all possible positions on the grid, and for each position that fits, try putting the second biggest rectangle in all remaining positions, and so on. As a rough estimate, assume there are on average about 10 ways to place a rectangle. Then this way will look at about 105 = 100,000 combinations.\n", "\n", - "In Way 2, we consider the positions in some fixed order; say top-to-bottom, left-to right. Take the first empty position (say, the upper left corner). Try putting each of the rectangles there, and for each one that fits, try all possible rectangles in the next empty position, and so on. There are only 5! permutations of rectangles, and each rectangle can go either horizontally or vertically, so we would have to consider 5! × 25 = 3840 combinations. Since 3840 < 100,000, I'll go with Way 2. Here is a more precise description:\n", + "In Way 2, we consider the positions in some fixed order; say top-to-bottom, left-to right. Take the first empty position (say, the upper left corner). Try putting each of the rectangles there, and for each one that fits, try all possible rectangles in the next empty position, and so on. There are only 5! permutations of rectangles, and each rectangle can go either horizontaly or vertically, so we would have to consider 5! × 25 = 3840 combinations. Since 3840 < 100,000, I'll go with Way 2. Here is a more precise description:\n", "\n", "> Way 2: To `pack` a set of rectangles onto a grid, find the first empty cell on the grid. Try in turn all possible placements of any rectangle (in either orientation) at that position. For each one that fits, try to `pack` the remaining rectangles, and return the resulting grid if one of these packings succeeds. " ] @@ -669,7 +669,7 @@ " return solution\n", "\n", "def rectangle_placements(rectangles, grid, pos):\n", - " \"Yield all (rectangles2, grid2) pairs that are the result of placing any rectangle at pos on grid.\"\n", + " \"Yield all (rect, grid) pairs that result from placing a rectangle at pos on grid.\"\n", " for (w, h) in rectangles:\n", " for rect in [(w, h), (h, w)]:\n", " grid2 = place_rectangle_at(rect, grid, pos)\n", @@ -728,7 +728,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "It would be nicer to have a graphical display of colored rectangles. I will define the function `show` which displays a grid as colored rectangles, by calling upon `html_table`, which formats any grid into HTML text." + "It would be nicer to have a graphical display of colored rectangles. I will define the function `show` which displays a grid as colored rectangles, by calling upon `html_table`, which formats any grid into HTML text. (*Note:* Github is conservative in the javascript and even CSS that it allows, so if you don't see colors in the grids below, look at this file on [nbviewer](https://nbviewer.jupyter.org/github/norvig/pytudes/blob/master/ipynb/Golomb-Puzzle.ipynb); same file, but the rendering will definitely show the colors.)" ] }, { @@ -745,7 +745,8 @@ " display(html_table(grid, colored_cell))\n", " \n", "def html_table(grid, cell_function='{}'.format):\n", - " \"Return an HTML , where each cell's contents comes from calling cell_function(grid[y][x])\"\n", + " \"\"\"Return an HTML
, where each cell's contents comes from calling \n", + " cell_function(grid[y][x])\"\"\"\n", " return HTML('
{}
'\n", " .format(cat('\\n' + cat(map(cell_function, row)) \n", " for row in grid)))\n", @@ -754,7 +755,8 @@ " x, y = sorted(rect)\n", " return '{}{}'.format(colors[x], x%10, y%10)\n", "\n", - "colors = 'lightgrey yellow plum chartreuse cyan coral red olive slateblue lightgrey wheat'.split()\n", + "colors = ('lightgrey yellow plum chartreuse cyan coral red olive slateblue lightgrey wheat'\n", + " .split())\n", "\n", "cat = ''.join" ] @@ -931,17 +933,15 @@ { "cell_type": "code", "execution_count": 26, - "metadata": { - "collapsed": true - }, + "metadata": {}, "outputs": [], "source": [ "import time\n", "\n", "def pack(rectangles, grid, animation=False): \n", " \"\"\"Find a way to pack all rectangles onto grid and return the packed grid,\n", - " or return None if not possible. \n", - " Pause `animation` seconds between displaying each rectangle placement if `animation` is not false.\"\"\"\n", + " or return None if not possible. Pause `animation` seconds between \n", + " displaying each rectangle placement if `animation` is not false.\"\"\"\n", " if animation: \n", " clear_output()\n", " show(grid)\n", @@ -1073,7 +1073,7 @@ { "data": { "text/plain": [ - "'857 + 349 == 1206'" + "'325 + 764 == 1089'" ] }, "execution_count": 29, @@ -1094,8 +1094,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 29 s, sys: 42.2 ms, total: 29.1 s\n", - "Wall time: 29.1 s\n" + "CPU times: user 30 s, sys: 56.5 ms, total: 30 s\n", + "Wall time: 30.1 s\n" ] }, { @@ -1136,9 +1136,7 @@ { "cell_type": "code", "execution_count": 31, - "metadata": { - "collapsed": true - }, + "metadata": {}, "outputs": [], "source": [ "def compile_formula(formula, verbose=False):\n", @@ -1173,13 +1171,13 @@ "name": "stdout", "output_type": "stream", "text": [ - "lambda Y,M,E,O,U: Y and M and ((100*Y+10*O+U) == (10*M+E)**2)\n" + "lambda M,U,E,O,Y: M and Y and ((100*Y+10*O+U) == (10*M+E)**2)\n" ] }, { "data": { "text/plain": [ - "(>, 'YMEOU')" + "(>, 'MUEOY')" ] }, "execution_count": 32, @@ -1200,13 +1198,13 @@ "name": "stdout", "output_type": "stream", "text": [ - "lambda L,A,Y,P,M,E,R,U,B,N: P and B and N and ((100*N+10*U+M) + (100*B+10*E+R) == (1000*P+100*L+10*A+Y))\n" + "lambda U,A,R,E,L,Y,N,B,M,P: B and N and P and ((100*N+10*U+M) + (100*B+10*E+R) == (1000*P+100*L+10*A+Y))\n" ] }, { "data": { "text/plain": [ - "(>, 'LAYPMERUBN')" + "(>, 'UARELYNBMP')" ] }, "execution_count": 33, @@ -1221,15 +1219,14 @@ { "cell_type": "code", "execution_count": 34, - "metadata": { - "collapsed": true - }, + "metadata": {}, "outputs": [], "source": [ "def faster_solve_all(formula):\n", " \"\"\"Given a formula like 'ODD + ODD == EVEN', fill in digits to solve it.\n", " Input formula is a string; output is a digit-filled-in string or None.\n", - " Capital letters are variables. This version precompiles the formula; only one eval per formula.\"\"\"\n", + " Capital letters are variables. This version precompiles the formula; \n", + " only one eval per formula.\"\"\"\n", " fn, letters = compile_formula(formula)\n", " for digits in itertools.permutations((1,2,3,4,5,6,7,8,9,0), len(letters)):\n", " try:\n", @@ -1239,7 +1236,7 @@ " pass\n", " \n", "def replace_all(text, olds, news):\n", - " \"Replace each occurrence of each old in text with the corresponding new.\"\n", + " \"Replace each occurence of each old in text with the corresponding new.\"\n", " # E.g. replace_all('A + B', ['A', 'B'], [1, 2]) == '1 + 2'\n", " for (old, new) in zip(olds, news):\n", " text = text.replace(str(old), str(new))\n", @@ -1254,7 +1251,7 @@ { "data": { "text/plain": [ - "'857 + 349 = 1206'" + "'325 + 764 = 1089'" ] }, "execution_count": 35, @@ -1275,8 +1272,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 1.75 s, sys: 3.29 ms, total: 1.76 s\n", - "Wall time: 1.76 s\n" + "CPU times: user 1.77 s, sys: 4.05 ms, total: 1.77 s\n", + "Wall time: 1.77 s\n" ] }, { From 698d8b9ba977aeed00753b6f30ad644f4a417782 Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Fri, 13 Apr 2018 17:49:22 -0700 Subject: [PATCH 69/90] Add files via upload --- ipynb/Bike Speed versus Grade.ipynb | 62 ++++++++++++++++------------- 1 file changed, 34 insertions(+), 28 deletions(-) diff --git a/ipynb/Bike Speed versus Grade.ipynb b/ipynb/Bike Speed versus Grade.ipynb index 5791e61..bdb51ba 100644 --- a/ipynb/Bike Speed versus Grade.ipynb +++ b/ipynb/Bike Speed versus Grade.ipynb @@ -18,20 +18,9 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 1, "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", @@ -47,8 +36,26 @@ "for (dist, climb, time) in csv.reader(open('dist-climb-time.csv')):\n", " if miles(dist) > 30:\n", " X.append(feet(climb) / miles(dist))\n", - " Y.append(miles(dist) / hours(time))\n", - "\n", + " Y.append(miles(dist) / hours(time))" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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kVqR+Bm9FZq7BwVP4DRQePvyfOT36pUs3s2zZ3bz66h/gVVTwfnb06ASNjRvxes87E/en+zanTv0V2YOuXpv7SV+IVJwm3zZfeOES30FKv4FX77gP4J2f3J6198nny8ADDA7exMc+9qWc7fqK6ZVrlapI/Zry4J4742QBDQ1HOHv2y8DXgUeBZDCdAD7PW2+95bvU/7XXfo5fgPrpT19iYmIv6QHxyJFtdHffy4wZ96bNn/d+dvr0Q3jBusHn9d7GLxifd95PuPji6+joyJwXnz53fd68U5id5cSJeZOB9fLL57F/f26bV6xoLmlLP+/it4HsGTSpcgzJ73cwMvJNRka87x9//Bbmzz/NFVcsSFzsvoqXZvoGjY1DnDy5iOHh0Yx5/lqlKlKHwnT7i7nhM1smaIDwkks+FTDA6V/Sd8WK23zTOnPnXheYcghKR3gzZw7nvJ43Mya4TcuW3Zp3lWkqheI99tJLfy+R+kk9ZtGiL/iW7s23pZ83IDvi4LCbOfOjzm9wFrrytv1d77rRXXXVLW7WrMKDsvVK8/SlXlFvs2XyCa7f7j8t0cu5H3aZS+8P5y2DG5SnT5YK7ui4zbW2Xuc6Ou6YvPDkLnRKHxfwnptqT769UJMzcdLLBfhtmZd6rt8ipWQ+PVm3/UMf+l3nVctMf8y6RHDPfz7DlgyOMo0ZSD2LVXAvZqPo+fPXTfbACtdjyf2nLucfvrt7UyIor3O50zadO++8a92aNX3uiituLRBMs7/2bitX3uc6Ou70fW5yy7vFi7tc0NRJb5A2+yK30QVP9cw8n4UGVutRqjZRPC9cEn9hg/uU59zz8VsBml3S9/jxdnbvTq0cDRrw27dvCT09DzA4+AavvXaEX/mV99DTs4v+/vUlDRIOD4/yzDOv401d3Irf1M2334bduz+D2Sb8BzhnpH2dPWVygpkzj/KjHw0C9+INhq4nWekyOcD5+utNwFeynpucgtlEbvXMXvLn5L1jz58/4VsyuJ6nO6ZqE11GOStzRWIhzJWhmBsl9NydS+VIOzruSOS7D6f1ODPTIYV6YGE/lqeen1wMNeK8RVXp6Y+Nzqs+mUwR5c+5ewuYMhcT5U619NIuTU03ptXaCa6V45+XTz4+mQK6w0Hm+Vy27Na8n3LqVeoToFbYSv0iZM/dvNeoHjNz5R4jOXvEq8bYTqpH61m5spenntqa8/jkbJPx8ePs2fMVsnulXV19zJ3bFDijpa2theHhUT72sS8xMvIVvF57E3Bz4utmvN74OeAnwCbgSbwesreZh/ezU8yc+SwLFrSyYkUzDz74h4A3vTG1mGg8azGR10b4HB0dS3nmmQdZubKXgYENJGvJJ3vhs2Zt5OWXvd56Z+efpdXJmeBd79rIeefNzbhv1qwNzJ59ioaGizLas3nzgzzzzChmTSxfPos5c+bx5puzA+vsR513vpK/i8xz1t6u2jhSH8wM51zeirt5hbkyFHOjxJ67n2KW/Pv10r2t6fw3lg7qXWfm7JM57mQP2D+H6z0m33hBcG843ybgyfeX6plnDsReddUtGe8/u058+qeg1tbrcipd5p6zwznbGtZjLz7z7yW1YM2vqqhIVBGnAdUgxaRXggdj7/W5LzmNMDsIe1+nBuL6XKrOjXPBK0Lv8w2MxaSRgtrd1HTN5PvzBnRz6+R0d28Kde5Sx04GQP/Vs9ntjvr0Qs2SkTgIG9wjNaAaJHul5Ny5pzB7hw0bdhZc7NPYOMTp08kBw+SA4lfxPq5vxEvzJBcFec/xNuSYg5cG2khqkNR/VWdz84usWjWDW265me3bH0hLIyVf33tdv31Xg8oIP/HEXZOPOXFiHt7gaPpesrfx5ps7C567fKWFvXP2S1KpC/8NQdIHIKNcBjg9Lbd8+Tu87319nDw5uyIra4vZFlIkUsJcGYq5UYGee7pUVcV7J9MTS5fe7Fat+qJvr7Ora0vgdn2Z88/9eu7Oedv1JRf5jOT0oP16hPmndPpvKei39V6h1ytmYDAo7ZOcz+99ikm+duHjRLUMcDV76/okILXAdEjLpAtKUVxwwUdy7k+uHs2/OCpfzj2Vi25qusZ1dNzhurs3ua6uLYGB2LmglaqlzfQp9HrFBhf/YHw4rVRw/kJu9VIGuJoXnahe0CTewgb3ukjLpHvmmVHgW2QX0jpzZi1wG6nUxTmuuGJG3iJZzc0vsmJFH2aON9/c6TtPPjUX/qGiP4bn7ruam6Ipdd/Vcgt4+ad97mJ8/HFyU00tJAu5NTePsmpVe85xoloGuNzdpmr92iLVUnfBPaiqIszFC069k/e++ab3tV+A86bEbQsMkGEKZqXnZ71FQp8hs4586cGw3Pb4XRgGBy/j0KHkOVxP5kKnBbS3v8W+ff2+5yboXBZfFbM6qnnRieoFTSSvMN3+Ym5UOC0TXEhrc96PzalpgcnaMXdWZaaHXwrFbJ1LXzxU63xtbprB276vuXldUeek0BhBLSjnLnHDdMu5Dw2N5BTyWrToCzkrP4vdbq7S/6TBg6neoG5T0zXuwIGDGW2a6mmFcQ1W1bzoRPGCJvEWNrhHeoVqkGTaI5V/Xg+Qc192WmHt2q3s3p1bG2bNmgcqVrM8tToyWzL1kTqe37TCqVpB6XcO/WrSF5r2pymCItUxLVaoVspUzPQoprJl8nhRnIVRSq8+yp8Aor7QSqQQQvbcp9WIUGpgLF1lB8b6+9fT3t6bdpzkwqn1OceL4iyM4EVPu0I9diolPxHt3r2FgQHv09rq1Q8xPDxak7asXbuVlSt7Wbt2a03aINNUmCtDMTci1HOfqp5mvsqW6ceLYs/dv678iGtuvjanFzwd57yXIsqfbCT6mG4DqmFN9cBYvuNF7Z9/aGjEZ1vB4FW5QTOXpjKI+qVfqn3RKTblE5WLjNSnugzuU5EPrZeca5RmYaS2LUy/4PjXke/q2pKYoeS/KjifSv1ugi6O1bzolHJBjuonG6kPdRfcp6K3GrUecb1IBaP00sL+2/A1N69zmRUlU/vB5lPJ301Qz3jx4qsT5Z4r//svpTeunruEUXfBfSr+4PVPVR7/8+bfc/f2bc3fK/XroVfyd5OvFn5yYVZj4/Wuq2tLxS7spfTGi7mQ1csnTJl6YYP7lJcfmIoZIlGchVIP/EoLLF06htndGTs6tbf3snx5C3v2BC/JDyoNvGDBWbwyw+nli9eX9bsJKgvg7UPbAvRz+vQEc+c+MLm7Vtg5+aWUIihUEyjK5ZMlBgpFf2AHMAa8kHbf14BXgB8D3wXm5Xl+xtVIPfdoy7ejU/Z9+XqlQb+DJUs+5fJtPFJKT7Zw9c1Urzpfe8Mes9JpJf2dinNTkJYBPgL8elZwXwXMSHx9P/DHeZ6f0WDl3OMjO+gfOHBwMkguXOifq7/kkut9A1oydVLq7y29DV59+sO+wTIokHZ1bQl1zDCpFA24Sj5hg3vBtIxz7qCZtWTdtz/t20PA7xT7SSFM+dogfh+3K30MSck+3zt2bADISjH04Je+mDnzLfxSZidPzs67a1Sh8hDOweWXv5t33tnGkSPbyK5YuWHDTt/jPvvsGGNjXyY9TTQ4eBM9PbsCjxmmYmg6VZuUqirmCoCXwHwh4Gd7gevzPLeaFzf10qdY8dMP/efHe5ut+KciSu3J+rVl2bJbXXf3ppxedVDP/eKLr3bZG5TA7a6j47aanctS/3Y1KBtPTMVsmaDgDtwDfLfAc11vb+/k7emnn67oCVDecmoFnW//NIy3srXYXH2pv8tSHh90XG8MIPc1Wluvq/apnGxXmBSPOjfx8fTTT2fEypoFd7xiKf8CXFDguVU9IcpbTq2g893cfG1JgdYvoJUaqMrp6Wcf17/cgnMdHXdU7qRVkTo38RU2uBc7FdISN+8bs6uBO4ArnXNnyswIVYTyllMr6Hx3dLTw3HObOXKkGW964zmWLh2jv/+enNcIylmXOh7jteUV4NukplV+JvB373fc5ub/whsfmEFyWqa3G1V2fj6aNO1XAhWK/sBjwDHgDPAqcCPwM2AUeC5x++s8z6/q1U0fSyurUP426HwfOHAwZxOVYkoRhHHgwEHX0HBDxjEbGm7I2AwlH7+NX2CzW7r05rr5+ynUc1c+vn4xFWmZUAeocnB3Llr1WepZsRdKv/Ndi/RA0DFbW68rKpjlmx5ZLwrN31fHp34puEvFhAnQlRz7KLa3mb/8QOFgFpfxmqDOjfLx9S1scJ/y8gMSXWHyt5Ua+yhlSX7+8gNe27PnyafP0R8Zeakiba61oDEM5eOnt/r6K5aqCrNTld8OVN4CovUltaGU3Z0K73rlPT8ZzLJ3aBoZ+QoNDV8M3eaomoqdxyTCwnT7i7mhtEzdCJujrcTYR5jpjfnKDzgXlKY47Fpbr4vleI1y7vUNpWWkUsKWhqjEsvxS0zvpx/RL6STLD0BQmuIy2tqW89RTW0O1O4rK/X1WonqmRECYK0MxN9RzlxJU89ODBhgLU28/OgjZczfvNarHzFy1jyHxkuw5pnqblek5+vXsm5o28sQTN3HllR8O/fpxsHbtVnbv3kL2J6c1awoXb5PKMjOcc1b4kf6UlpHIqVTVRb/X3bnzWj75yd9jfPxy4DzGx+9gw4Yd7Nu3RKkHNMMmTjRsLtPK9u37GR9/HPgK3syaywJn40xHmmETH+q5y6S4DqSlv6/Dh1/E2+YvvXdauZ5pvZ9Dv60W0welpX4ouAtQ2/08qxkQ/d6XVyjsNrxipxCmZ5re9gsvfJPnnz+Xsd9sve2JWo3NdKRGwozGFnNDs2XqQq1mkvjNzmhsvNF1d2+qyAyNoPcF94aeDZLb9s01OYcST4ScLaNEmgC1G0jzW5F6+vRD7NnTxOrVDzE8PBrq9YPeV3PzKCtX9rJmzQNl96wz2z6Kt4+8BiMlGhTcBajdQFpQ8PX2Mg0/0Bn0vlatauepp7by6KO9ZaccMtu+C3i377E0GCm1oL86ASpXG6ZUQcHX+9MM3+ut5vvKbPs54PfxZuCkjjVr1sbY1KqR+qJFTDKpWouHCh0zd8CzF9gILKjI4plS3tc///O/cMMNf8Ybb8zhoosmeOSRLwUucMps+wPAFryZOLvwgv05urvH+f73t4Vqf6XV+4ye6SLsIiYNqErNDQ2NuK6uLa6x8frEQOdIwYHOauwwVM7OTsm2n39+t4P1Gc+t9k5U5VB5gfqByg9IXBTbww4qELZvnzcXu6dnFz//+RuMjR3h0kvfQ3v77KJ6p21tv8PIyDfJXnrf2vo5hoe/W7Dtmzc/yKFDo0ATK1Y08+CDfxi5HrHKC9QPlR+Q2Ci27EBQzfdNm/p4+WXH4OBNwA7gm4yMzOHQoeLmm7/xxhz8BnePH/fuy5fOaGtriVz6xY/KC0wfCu5Sd4IC1LPPjjE29jd4+W+/DT/y904vumiCEydyyw3Pnz9R00VelVSpHbMk+vQblbozb94p/GbYnD17Ai9oldc7feSRL+XszNTQ8EUeeeRLJe0QFWW1mhUlU089d6k7ZmfxSgj0k15SoLHxv0hNoyy9d3rllR/mn/4Jbrjhcxw/Pof581OzZXp7nyQO6YxqlBfQ7JtoUnCXunPixDxgA1765RxeML+NpUu30djYm8i595JKzRRf/OrKKz/M8HDu1Mc4pTMqWVI5LumqOKq/v0yZ9rxAu4BUAO8FFtDefhH79m1kzZpv09FxltbWz9HRcWeoEgNJSmf4i0u6Ko40FVLqTr6pkNXsLdZikVfUrVzZy8BA7v6zK1f2xnJf2qmkqZAy7dRq4+dq7RBVCbXKe8cpXRU7YVZAFXNDK1QlAuK8MrOW7y3O57XW0ApVkcLivDKz1u9N6arqqHpaxsx2AJ8Cxpxzlyfuuwj4O7ytbEaAzzjnTpTbCJFqi/PKzFq/t6lKV2nKZWmKSYw9DHwi674/AvY75/4b8BTw5Uo3TKSS4rzxc5zfW1JyEH337i0MDHifVCqxmUusFZO7weuhv5D2/U+A5sTXlwI/yfPcquWkRIoV59xwnN9bUq22gSxVJauOoOOHAAAI80lEQVSVEjLnXu5smYXOubFE5H7NzBaGvMaIVFWcN36O83tLqnXqqRhRW9BVqamQeUdM+/r6Jr/u7Oyks7OzQocVKV6UpzKGFef3BvUx5TJ4QVdxA9sDAwMMDAxUrD1FzZYxsxbgBy41oPoK0OmcGzOzS4GnnXOXBTzXFXMMEZEgtVq4VopKL+iaqkVMlrgl7QXWA38C3ADsKbcBIiKF1EPqKWqfLgr23M3sMaATuAQYwyvk8X3gO8BSYBRvKuTxgOer5y4isVfpTxdhe+5axCQiUiGVXNCl4C4iEkNhg3t0hppFRKRiFNxFRGJIwV1EJIYU3EVEYkjBXUQkhhTcRURiSMFdRCSGFNxFRGJIwV1EJIYU3EVEYkjBXUQkhhTcRURiSMFdRCSGFNxFRGJIwV1EJIYU3EVEYkjBXUQkhhTcRURiSMFdRCSGFNxFRGJIwV1EJIYU3EVEYkjBXUQkhhTcRURiSMFdRCSGFNxFRGJIwV1EJIZCBXcz22xmL5nZC2a228zOr1TDRESkfGUHdzNbBGwEPuicuxxoAD5bqYaJiEj5GkI+fyYwx8zOAbOBY+GbJCIiYZXdc3fOHQO+DrwKHAWOO+f2V6phIiJSvjBpmflAN9ACLAKazOz6SjVMRETKFyYtswoYcs79J4CZfQ/4EPBY9gP7+vomv+7s7KSzszPEYUVE4mdgYICBgYGKvZ4558p7otlvATuA3wTOAA8DP3TO/VXW41y5xxARma7MDOeclfv8MDn3fwX+Hnge+DfAgO3lvp6IiFRO2T33og+gnruISMlq1nMXEZHoUnAXEYkhBXcRkRhScBcRiSEFdxGRGFJwFxGJIQV3EZEYUnAXEYkhBXcRkRhScBcRiSEFdxGRGFJwFxGJobDb7ImI1Nzw8Cg9Pbs4evQcixfPoL9/PW1tLbVuVk2pKqSI1LXh4VFWr36IwcGtwBxggvb2Xvbt21jXAV5VIUVkWuvp2ZUW2AHmMDi4lZ6eXTVsVe0puItIXTt69BypwJ40h2PHztWiOZGh4C4idW3x4hnARNa9EyxaNL3D2/R+9yJS9/r719Pe3ksqwHs59/7+9TVrUxRoQFVE6l5ytsyxY+dYtCges2XCDqgquIuIRJBmy4iISA4FdxGRGFJwFxGJIQV3EZEYUnAXEYkhBXcRkRhScBcRiSEFdxGRGAoV3M3sQjP7jpm9YmYvm9mKSjVMRETKF7bn/ufAPzjnLgM+ALwSvkm1MTAwUOsmFEXtrJx6aCOonZVWL+0Mq+zgbmbzgP/hnHsYwDl31jn3ZsVaNsXq5ReudlZOPbQR1M5Kq5d2hhWm594G/NLMHjaz58xsu5nNqlTDRESkfGGCewPwQeCvnHMfBE4Bf1SRVomISChlV4U0s2bgGefcuxPffwS4yzl3TdbjVBJSRKQMYapCNoQ46JiZHTGz9zrnfgpcBRyuZONERKQ8oeq5m9kHgG8A5wFDwI3OuRMVapuIiJSp6pt1iIjI1KvaClUzu9rMfmJmPzWzu6p1nFKZ2RIzeyqx6OpFM7s1cf9FZvakmf27mf2jmV1Y67YCmNmMxGykvYnvI9dOv8VsEW3nZjN7ycxeMLPdZnZ+FNppZjvMbMzMXki7L7BdZvZlM/tZ4nx/vMbt/FqiHT82s+8mpkjXrJ1+bUz72e1mds7MLq5lG/O108w2JtryopndH6qdzrmK3/AuGj8HWvBSNj8GfrUaxyqjbZcCv574ugn4d+BXgT8B7kzcfxdwf63bmmjLZuBRYG/i+8i1E9iFl5IDbxznwqi1E1iElzo8P/H93wE3RKGdwEeAXwdeSLvPt13ArwHPJ85za+L/zGrYzlXAjMTX9wN/XMt2+rUxcf8S4P8Bw8DFifsui9i57ASeBBoS3y8I085q9dx/C/iZc27UOfc28LdAd5WOVRLn3GvOuR8nvh7HW1W7BK99jyQe9gjw6dq0MMXMlgD/E29cIylS7QxYzHaCiLUzYSYwx8wagFnAUSLQTufcQeCNrLuD2tUF/G3iPI8AP8P7f6tJO51z+51z5xLfHsL7X6pZOwPOJcA24I6s+7qJ0LkEPo93ET+beMwvw7SzWsF9MXAk7ftfJO6LFDNrxbt6HgKanXNj4F0AgIW1a9mk5B9k+sBI1Nrpt5htNhFrp3PuGPB14FW8oH7CObefiLUzzcKAdmX/bx0lOv9bG4B/SHwdmXaaWRdwxDn3YtaPItPGhPcCV5rZITN72sz+e+L+sto5batCmlkT8PfAbYkefPbIck1Hms3sk8BY4lNGvumktR4Rz17MNoG3mC1q53M+Xg+oBS9FM8fM1vi0q9bnM0hU2wWAmd0DvO2ce7zWbUmXWDV/N9Bb67YUoQG4yDnXAdwJfCfMi1UruB8FlqV9vyRxXyQkPpb/PfAt59yexN1jiYVZmNmlwH/Uqn0JHwa6zGwIeBz4mJl9C3gtYu38BV6v6EeJ77+LF+yjdj5XAUPOuf90zr0D/F/gQ0SvnUlB7ToKLE17XM3/t8xsPV768Pq0u6PSzna8PPW/mdlwoh3PmdlCohenjgDfA3DO/RB4x8wuocx2Viu4/xB4j5m1mNn5wGeBvVU6Vjl2Aoedc3+edt9eYH3i6xuAPdlPmkrOubudc8uctwL4s8BTzrl1wA+IVjvHgCNm9t7EXVcBLxOx84mXjukws0YzM1KL7qLSTiPzE1pQu/YCn03M9GkD3gP861Q1kqx2mtnVeKnDLufcmbTH1bKdk210zr3knLvUOfdu51wbXmfkCufcfyTa+LtROZfA94GPAST+n853zr1edjurOBp8Nd5MlJ8BfzQVI9BFtuvDwDt4M3ieB55LtPViYH+izU8C82vd1rQ2f5TUbJnItROv3PMPE+f0e3izZaLYzl68AfQX8AYpz4tCO4HHgGPAGbyL0I3ARUHtAr6MN2PiFeDjNW7nz4DRxP/Rc8Bf17Kdfm3M+vkQidkyETyXDcC3gBeBHwEfDdNOLWISEYmhaTugKiISZwruIiIxpOAuIhJDCu4iIjGk4C4iEkMK7iIiMaTgLiISQwruIiIx9P8B2EXAHAwbKEwAAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ "plt.plot(X, Y, 'o');" ] }, @@ -63,14 +70,14 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 3, "metadata": {}, "outputs": [ { "data": { - "image/png": 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Z6UxNJwCqgcViwcqXt0uWL8Plg0RERMrTbRW1x2/5f4LVwjxyNRpqYYg/l6ux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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -90,12 +97,13 @@ " plt.style.use('fivethirtyeight')\n", " plt.plot(X, Y, 'o')\n", " X1 = list(range(int(max(X))))\n", - " plt.plot(X1, [F(x) for x in X1], 'o')\n", + " plt.plot(X1, [F(x) for x in X1], '-')\n", " plt.ylabel('Speed (mph)')\n", " plt.xlabel('Grade (feet/mile)')\n", " plt.minorticks_on()\n", " plt.grid(True, which='major')\n", - " plt.grid(True, which='minor', alpha=0.2)\n", + " plt.grid(True, which='minor', alpha=0.4)\n", + " plt.title('Average speed vs Grade on {} rides'.format(len(X)))\n", " \n", "show(X, Y) " ] @@ -104,17 +112,15 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "So, I average about 14 mph when the road is fairly flat, with a lot of variability from 12 to 16 mph, depending more on my level of effort than on the grade of the road. But from 60 ft/mile and up, speed falls off quickly at 1 mph for every 20 ft/mile, and by 140 ft/mile, I'm down around 8 mph. Note that 140 ft/mile is only 2.7% grade, but if you figure a typical route is 1/3 up, 1/3 down, and 1/3 flatish, then that's 8% grade on the up part.\n", + "So, I average about 14 mph when the road is fairly flat, with a lot of variability from 12 to 16 mph, depending more on my level of effort than on the grade of the road. But from 60 ft/mile and up, speed falls off quickly at 1 mph for every 20 ft/mile, and by 120 ft/mile, I'm down around 10 mph, and 8.5mph at 140 ft/mile. Note that 140 ft/mile is only 2.7% grade, but if you figure a typical route is 1/3 up, 1/3 down, and 1/3 flat-ish, then that's 8% grade on the up part.\n", "\n", "I can use the polynomial `F` to estimate the duration of a route:" ] }, { "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": true - }, + "execution_count": 4, + "metadata": {}, "outputs": [], "source": [ "def duration(dist, climb, F=F):\n", @@ -131,16 +137,16 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "6.7314081227852185" + "6.2641828504384378" ] }, - "execution_count": 4, + "execution_count": 5, "metadata": {}, "output_type": "execute_result" } From f35adc518a37f36d5e38320c89e561466494fb30 Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Sat, 14 Apr 2018 20:50:02 -0700 Subject: [PATCH 70/90] Add files via upload --- ipynb/WWW.ipynb | 458 ++++++++++++++++++++++++++++++------------------ 1 file changed, 283 insertions(+), 175 deletions(-) diff --git a/ipynb/WWW.ipynb b/ipynb/WWW.ipynb index dcd468e..04836cc 100644 --- a/ipynb/WWW.ipynb +++ b/ipynb/WWW.ipynb @@ -8,15 +8,16 @@ "\n", "## 12 April, 2018\n", "\n", - "\"It's tough to make predictions, especially [about](https://en.wikiquote.org/wiki/Yogi_Berra) [the](https://en.wikiquote.org/wiki/Niels_Bohr) future.\" That's true for the **NBA basketball playoffs**, where there is a difference of opinion over the probable fates of the Warriors and Cavs, the teams that met in the finals each of the last three years. The Las Vegas oddsmakers have the Warriors as co-favorites at 35% chance to win the title, while [538](https://fivethirtyeight.com/features/the-nba-playoffs-sleepers-favorites-and-best-first-round-matchups/), using their ELO rating, give the Warriors only a 4% chance. That 9-fold difference underscores that rational people can use different models with different assumptions and come to different conclusions. Here are some models you might choose:\n", + "\"It's tough to make predictions, especially [about](https://en.wikiquote.org/wiki/Yogi_Berra) [the](https://en.wikiquote.org/wiki/Niels_Bohr) future.\" That's true for the **NBA basketball playoffs**, where there is a wide range of opinion about the Warriors and Cavs, the teams that met in the finals each of the last three years. The Las Vegas oddsmakers have the Warriors as co-favorites at 35% chance to win the title, while [538](https://fivethirtyeight.com/features/the-nba-playoffs-sleepers-favorites-and-best-first-round-matchups/), using their ELO rating, give the Warriors only a 4% chance. That 9-fold difference underscores that rational people can use different models with different assumptions and come to different conclusions. Here are some models you might choose:\n", "\n", - "1. **Holistic**: \"I just feel that the Rockets have about a 1/3 chance of winning it all.\"\n", - "2. **Game by Game**: \"I think the Rockets have an 75% chance of winning each game in the first round, then 70% in the next round, then 60%; from that I'll calculate their overall chance.\"\n", - "3. **Point by Point**: \"The Rockets have a per-game average point differential of 8.2; I'll compare that to the other teams and caclulate their overall chance.\"\n", + "1. **Holistic**: I just feel that the Warriors have about a 1/3 chance of winning it all.\n", + "2. **Game by Game**: I think the Warriors have an 75% chance of winning each game in the first round, then 65% for each game in the second round, but only 45% against the Rockets, then 55% if they make it to the finals. From that I'll calculate their overall chance.\n", + "3. **Point by Point**: The Warriors have a per-game average point differential of +5.8; I'll compare that to the other teams and caclulate their overall chance.\n", + "4. **Play by Play**: Use [detailed statistics](https://www.basketball-reference.com/play-index/plus/shot_finder.cgi) to model the game shot-by-shot, or even pass-by-pass.\n", "\n", "# Point by Point Model\n", "\n", - "The [Simple Rating System](https://www.sportingcharts.com/dictionary/nba/simple-rating-system-statistics.aspx) (SRS) records the average point differential of a team over the season, with a slight adjustment for strength of schedule. We can look up the winning percentage and SRS of the top contending teams [here](https://www.basketball-reference.com/leagues/NBA_2018.html): \n", + "The [Simple Rating System](https://www.sportingcharts.com/dictionary/nba/simple-rating-system-statistics.aspx) (SRS) records the average point differential of a team over the season, with a slight adjustment for strength of schedule. We can look up the winning percentage and SRS of the top contending teams [here](https://www.basketball-reference.com/leagues/NBA_2018.html) (and other sites have slightly different ways of making similar calculations): \n", "\n", " TEAM PCT SRS\n", " Rockets .793 8.2\n", @@ -25,15 +26,15 @@ " Sixers .634 4.3\n", " \n", "\n", - "The Point-by-Point model of a game is: a game is decided by a random sample from the distribution of point differentials, which is a normal (Gaussian) distribution centered around the recorded differences of the two teams. So, if the Raptors play the Sixers, then the\n", - "mean of this distribution is 7.3 - 4.3 = 3.0. We also need to know the standard deviation; [Betlabs](https://www.betlabssports.com/blog/a-look-at-nba-team-totals/) says it\n", - "is 10.5 points (and they confirm that scores roughly follow a normal distribution). \n", - "The function `simulate` does the calculation:" + "The Point-by-Point model says: a game is decided by a random sample from the distribution of point differentials, which is a normal (Gaussian) distribution centered around the difference of SRS scores of the two teams. So, if the Raptors play the Sixers, then the\n", + "mean of this distribution is 7.3 - 4.3 = 3.0. We also need to know the standard deviation of the distribution; [Betlabs](https://www.betlabssports.com/blog/a-look-at-nba-team-totals/) says it\n", + "is 10.5 points across the NBA (and they confirm that scores roughly follow a normal distribution). \n", + "The function `simulate` does the calculation by Monte Carlo simulation:" ] }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -41,28 +42,28 @@ "from random import gauss\n", "\n", "def simulate(diff, 𝝈=10.5, n=100000):\n", - " \"Given SRS point differential of two teams, return favored team's win probability.\"\n", + " \"Given SRS point differential of a team against another, return game win probability.\"\n", " return mean(gauss(diff, 𝝈) > 0 for game in range(n))" ] }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "0.61204" + "0.61166" ] }, - "execution_count": 29, + "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "simulate(7.3 - 4.3) # Raptors win probability vs Sixers" + "simulate(7.3 - 4.3) # Raptors game win probability vs Sixers" ] }, { @@ -74,7 +75,7 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 3, "metadata": {}, "outputs": [ { @@ -109,14 +110,14 @@ "\n", "# Game by Game Model\n", "\n", - "The next model says that a playoff series is a sequence of independent and identically distributed game results (where the probability of a single-game win is specified either using point differential, or holistically). The idea here is to be consistent: if you believe that a team's win percentage is 60%, and you believe that games are independent, then you must believe that the team's chance of wining 4 in a row is 0.64 = 0.1296.\n", + "The next model says that a playoff series is a sequence of independent and identically distributed game results (where the probability of a single-game win could be specified using point differential, or holistically, or some other model). The idea here is to be consistent: if you believe that a team's win percentage is 60%, and you believe that games are independent, then you must believe that the team's chance of wining 4 in a row is 0.64 = 0.1296. This model ignores the fact that games aren't strictly independent, and ignores home court advantage. Why? Because these factors would change the final winning estimate by only a few percentage points, and I already have more uncertainty than that.\n", "\n", "The function `win_series` calculates the probability of winning a series, given the probability of winning a game:" ] }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -125,7 +126,8 @@ " The optional arguments say how many Wins and Losses the team has in the series so far.\"\"\"\n", " return (1 if W == 4 else\n", " 0 if L == 4 else\n", - " p * win_series(p, W + 1, L) + (1 - p) * win_series(p, W, L + 1))" + " p * win_series(p, W + 1, L) + \n", + " (1 - p) * win_series(p, W, L + 1))" ] }, { @@ -137,7 +139,7 @@ }, { "cell_type": "code", - "execution_count": 33, + "execution_count": 5, "metadata": {}, "outputs": [ { @@ -147,7 +149,7 @@ "0 point differential = 50% win game = 50% win series\n", "1 point differential = 54% win game = 58% win series\n", "2 point differential = 58% win game = 66% win series\n", - "3 point differential = 61% win game = 73% win series\n", + "3 point differential = 61% win game = 74% win series\n", "4 point differential = 65% win game = 80% win series\n", "5 point differential = 68% win game = 85% win series\n", "6 point differential = 72% win game = 89% win series\n", @@ -168,7 +170,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "For example, a team with a 3 point differential advantage has a 61% chance of winning each game in a series, and a 73% chance of winning the series. This model ignores the fact that games aren't strictly independent, and ignores home court advantage. Why? Because these factors would change the final winning estimate by only a few percentage points, and I already have more uncertainty than that. \n", + "For example, a team with a 3 point net differential has a 61% chance of winning each game in a series, and a 73% chance of winning the series. \n", "\n", "What happens if some games in a series have already been played? The following function prints a table where each row tells a team's current win-loss record, each column is the game win percentage, and each entry in the table is the series win percentage." ] @@ -183,32 +185,32 @@ "output_type": "stream", "text": [ "W-L | Game Win Percentage\n", - " | 20% 25% 30% 35% 40% 45% 50% 55% 60% 65% 70% 75% 80%\n", - "----+-----------------------------------------------------------------\n", - "0-0 | 3% 7% 13% 20% 29% 39% 50% 61% 71% 80% 87% 93% 97%\n", - "0-1 | 2% 4% 7% 12% 18% 26% 34% 44% 54% 65% 74% 83% 90%\n", - "0-2 | 1% 2% 3% 5% 9% 13% 19% 26% 34% 43% 53% 63% 74%\n", - "0-3 | 0% 0% 1% 2% 3% 4% 6% 9% 13% 18% 24% 32% 41%\n", - "----+-----------------------------------------------------------------\n", - "1-0 | 10% 17% 26% 35% 46% 56% 66% 74% 82% 88% 93% 96% 98%\n", - "1-1 | 6% 10% 16% 24% 32% 41% 50% 59% 68% 76% 84% 90% 94%\n", - "1-2 | 3% 5% 8% 13% 18% 24% 31% 39% 48% 56% 65% 74% 82%\n", - "1-3 | 1% 2% 3% 4% 6% 9% 12% 17% 22% 27% 34% 42% 51%\n", - "----+-----------------------------------------------------------------\n", - "2-0 | 26% 37% 47% 57% 66% 74% 81% 87% 91% 95% 97% 98% 99%\n", - "2-1 | 18% 26% 35% 44% 52% 61% 69% 76% 82% 87% 92% 95% 97%\n", - "2-2 | 10% 16% 22% 28% 35% 43% 50% 57% 65% 72% 78% 84% 90%\n", - "2-3 | 4% 6% 9% 12% 16% 20% 25% 30% 36% 42% 49% 56% 64%\n", - "----+-----------------------------------------------------------------\n", - "3-0 | 59% 68% 76% 82% 87% 91% 94% 96% 97% 98% 99% 100% 100%\n", - "3-1 | 49% 58% 66% 73% 78% 83% 88% 91% 94% 96% 97% 98% 99%\n", - "3-2 | 36% 44% 51% 58% 64% 70% 75% 80% 84% 88% 91% 94% 96%\n", - "3-3 | 20% 25% 30% 35% 40% 45% 50% 55% 60% 65% 70% 75% 80%\n" + " | 15% 20% 25% 30% 35% 40% 45% 50% 55% 60% 65% 70% 75% 80% 85%\n", + "----+---------------------------------------------------------------------------\n", + "0-0 | 1% 3% 7% 13% 20% 29% 39% 50% 61% 71% 80% 87% 93% 97% 99%\n", + "0-1 | 1% 2% 4% 7% 12% 18% 26% 34% 44% 54% 65% 74% 83% 90% 95%\n", + "0-2 | 0% 1% 2% 3% 5% 9% 13% 19% 26% 34% 43% 53% 63% 74% 84%\n", + "0-3 | 0% 0% 0% 1% 2% 3% 4% 6% 9% 13% 18% 24% 32% 41% 52%\n", + "----+---------------------------------------------------------------------------\n", + "1-0 | 5% 10% 17% 26% 35% 46% 56% 66% 74% 82% 88% 93% 96% 98% 99%\n", + "1-1 | 3% 6% 10% 16% 24% 32% 41% 50% 59% 68% 76% 84% 90% 94% 97%\n", + "1-2 | 1% 3% 5% 8% 13% 18% 24% 31% 39% 48% 56% 65% 74% 82% 89%\n", + "1-3 | 0% 1% 2% 3% 4% 6% 9% 12% 17% 22% 27% 34% 42% 51% 61%\n", + "----+---------------------------------------------------------------------------\n", + "2-0 | 16% 26% 37% 47% 57% 66% 74% 81% 87% 91% 95% 97% 98% 99% 100%\n", + "2-1 | 11% 18% 26% 35% 44% 52% 61% 69% 76% 82% 87% 92% 95% 97% 99%\n", + "2-2 | 6% 10% 16% 22% 28% 35% 43% 50% 57% 65% 72% 78% 84% 90% 94%\n", + "2-3 | 2% 4% 6% 9% 12% 16% 20% 25% 30% 36% 42% 49% 56% 64% 72%\n", + "----+---------------------------------------------------------------------------\n", + "3-0 | 48% 59% 68% 76% 82% 87% 91% 94% 96% 97% 98% 99% 100% 100% 100%\n", + "3-1 | 39% 49% 58% 66% 73% 78% 83% 88% 91% 94% 96% 97% 98% 99% 100%\n", + "3-2 | 28% 36% 44% 51% 58% 64% 70% 75% 80% 84% 88% 91% 94% 96% 98%\n", + "3-3 | 15% 20% 25% 30% 35% 40% 45% 50% 55% 60% 65% 70% 75% 80% 85%\n" ] } ], "source": [ - "def series_table(pcts=[p/100 for p in range(20, 85, 5)]):\n", + "def series_table(pcts=[p/100 for p in range(15, 90, 5)]):\n", " print('W-L | Game Win Percentage')\n", " print(' | ' + ' '.join(map(pct, pcts)))\n", " for W in range(4):\n", @@ -224,7 +226,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "For example, if our team with a 60% win percentage loses the first game of the series, then check the \"0-1\" row and the \"60%\" column to see that it still has a 54% chance of winning the series. You also have the option of updating your prior probability. Suppose after seeing our 60% team lose the first game you decide \"perhaps I was wrong about them; perhaps they're actually a 55% team\". Then you would look at the 55% column of the 0-1 row and find that their chances have slipped to 44%." + "For example, if our team with a 60% win percentage loses the first game of the series, then check the \"0-1\" row and the \"60%\" column to see that it still has a 54% chance of winning the series. " ] }, { @@ -233,7 +235,7 @@ "source": [ "# Series by Series Model\n", "\n", - "Here's a function to tabulate a team's chance of winning each series on the way to a title. The first argument is the team's name, and the second, `rounds` is a list of playoff round entries, where each entry is a tuple of the (expected) opponent team name, the game win percentage against this team, and optionally the wins and losses in the series so far:" + "Here's a function to tabulate a team's chance of winning each series on the way to a title. The first argument is the team's name, and each following argument is a playoff round entry, consisting of the opponent team name, the game win percentage against this opponent, and optionally the wins and losses in the series so far:" ] }, { @@ -242,7 +244,7 @@ "metadata": {}, "outputs": [], "source": [ - "def playoffs(name, rounds):\n", + "def playoffs(name, *rounds):\n", " \"Print probability for team winning each series.\"\n", " overall = 1.0 \n", " for (opponent, p, *WL) in rounds:\n", @@ -270,26 +272,17 @@ "text": [ "Rockets vs Wolves 93%; through here: 93%\n", "Rockets vs Jazz 87%; through here: 81%\n", - "Rockets vs Warriors 71%; through here: 58%\n", - "Rockets vs Raptors 71%; through here: 41%\n" + "Rockets vs Warriors 61%; through here: 49%\n", + "Rockets vs Raptors 71%; through here: 35%\n" ] } ], "source": [ "playoffs('Rockets',\n", - " [('Wolves', 0.75),\n", - " ('Jazz', 0.70),\n", - " ('Warriors', 0.60),\n", - " ('Raptors', 0.60)])" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "So I'm in good agreement with [538](https://fivethirtyeight.com/features/the-nba-playoffs-sleepers-favorites-and-best-first-round-matchups/): I have the Rockets at 58% winning the conference and 41% winning the title, while 538 had them at 57% and 44%.\n", - "\n", - "What if I went by point differential?" + " ('Wolves', 0.75),\n", + " ('Jazz', 0.70),\n", + " ('Warriors', 0.55),\n", + " ('Raptors', 0.60))" ] }, { @@ -301,28 +294,28 @@ "name": "stdout", "output_type": "stream", "text": [ - "Rockets vs Wolves 88%; through here: 88%\n", - "Rockets vs Jazz 79%; through here: 69%\n", - "Rockets vs Warriors 70%; through here: 49%\n", - "Rockets vs Raptors 58%; through here: 28%\n" + "Warriors vs Spurs 93%; through here: 93%\n", + "Warriors vs Blazers 80%; through here: 74%\n", + "Warriors vs Rockets 39%; through here: 29%\n", + "Warriors vs Raptors 61%; through here: 18%\n" ] } ], "source": [ - "playoffs('Rockets',\n", - " [('Wolves', simulate(8.2 - 2.3)),\n", - " ('Jazz', simulate(8.2 - 4.5)),\n", - " ('Warriors', simulate(8.2 - 5.8)),\n", - " ('Raptors', simulate(8.2 - 7.3))])" + "playoffs('Warriors',\n", + " ('Spurs', 0.75),\n", + " ('Blazers', 0.65),\n", + " ('Rockets', 0.45),\n", + " ('Raptors', 0.55))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "This puts the Rockets at 48% and 28%, which is closer to the Vegas odds of 44% and 35%. How do I reconcile this discrepancy? I guess I would say that I don't have much faith in the point differential model, for several reasons: it counts games from the distant past, when some teams had very different lineups than they have now (due to injuries and trades); different teams have different approaches to how they handle games whose outcome is already decided; the metric puts too much emphasis on blowouts, for example, in the Warriors' final game, it was to their strategic advantage to lose, and they did it very convincingly—by 40 points, which dropped their average point differential for the entire year by 0.5 points.\n", + "So I'm in good agreement with the Vegas oddsmakers about the Rockets: I have the Rockets at 49% winning the conference and 35% winning the title, while Vegas had them at 44% and 35%. For the Warriors I'm splitting the difference between 538's low estimate (8% win conference, 4% win title) and Vegas's high estimate (44% and 35%, tied with the Rockets).\n", "\n", - "Here are my projections for the hometown Warriors:" + "What if I went by point differential?" ] }, { @@ -334,34 +327,120 @@ "name": "stdout", "output_type": "stream", "text": [ - "Warriors vs Spurs 87%; through here: 87%\n", - "Warriors vs Portland 80%; through here: 70%\n", - "Warriors vs Rockets 29%; through here: 20%\n", - "Warriors vs Raptors 61%; through here: 12%\n" + "Rockets vs Wolves 89%; through here: 89%\n", + "Rockets vs Jazz 78%; through here: 70%\n", + "Rockets vs Warriors 69%; through here: 48%\n", + "Rockets vs Raptors 58%; through here: 28%\n" + ] + } + ], + "source": [ + "playoffs('Rockets',\n", + " ('Wolves', simulate(8.2 - 2.3)),\n", + " ('Jazz', simulate(8.2 - 4.5)),\n", + " ('Warriors', simulate(8.2 - 5.8)),\n", + " ('Raptors', simulate(8.2 - 7.3)))" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Warriors vs Spurs 73%; through here: 73%\n", + "Warriors vs Blazers 76%; through here: 55%\n", + "Warriors vs Rockets 31%; through here: 17%\n", + "Warriors vs Raptors 38%; through here: 6%\n" ] } ], "source": [ "playoffs('Warriors',\n", - " [('Spurs', 0.70),\n", - " ('Portland', 0.65),\n", - " ('Rockets', 0.40),\n", - " ('Raptors', 0.55)])" + " ('Spurs', simulate(5.8 - 2.9)),\n", + " ('Blazers', simulate(5.8 - 2.6)),\n", + " ('Rockets', simulate(5.8 - 8.2)),\n", + " ('Raptors', simulate(5.8 - 7.3)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "So I'm splitting the difference between 538's low estimate (8% win conference, 4% win title) and Vegas's high estimate (44% win conference, 35% win title).\n", + "This model gives cuts the Rockets' chances a bit (mainly because the Raptors have a strong 7.3 score), and cuts the Warriors' chances a lot, bringing them more in line with the 538 prediction. How do I reconcile the discrepancy between my subjective probabilities and these numbers? I guess I would say that I have less faith in the point differential model, for several reasons: it counts games from the distant past, when some teams had very different lineups than they have now (due to injuries and trades); different teams have different approaches to how they handle games whose outcome is already decided; the metric puts too much emphasis on blowouts, for example, in the Warriors' final game, it was to their strategic advantage to lose, and they did it very convincingly—by 40 points, which dropped their average point differential for the entire year by 0.5 points.\n", "\n", - "---" + "# Series Length\n", + "\n", + "Given a team's game win percentage, how many games should we expect a series to run? That is, with a game win percentage of 60%, how likely is it to sweep all 4 games? To go to 7 games? Here's a chart:" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "W-L | Game Win Percentage\n", + " | 10% 15% 20% 25% 30% 35% 40% 45% 50% 55% 60% 65% 70% 75% 80% 85% 90%\n", + "----+-------------------------------------------------------------------------------------\n", + "4-0 | 0% 0% 0% 0% 1% 2% 3% 4% 6% 9% 13% 18% 24% 32% 41% 52% 66%\n", + "4-1 | 0% 0% 1% 1% 2% 4% 6% 9% 12% 16% 21% 25% 29% 32% 33% 31% 26%\n", + "4-2 | 0% 0% 1% 2% 4% 6% 9% 12% 16% 19% 21% 22% 22% 20% 16% 12% 7%\n", + "4-3 | 0% 1% 2% 3% 6% 8% 11% 14% 16% 17% 17% 15% 13% 10% 7% 4% 1%\n", + "3-4 | 1% 4% 7% 10% 13% 15% 17% 17% 16% 14% 11% 8% 6% 3% 2% 1% 0%\n", + "2-4 | 7% 12% 16% 20% 22% 22% 21% 19% 16% 12% 9% 6% 4% 2% 1% 0% 0%\n", + "1-4 | 26% 31% 33% 32% 29% 25% 21% 16% 12% 9% 6% 4% 2% 1% 1% 0% 0%\n", + "0-4 | 66% 52% 41% 32% 24% 18% 13% 9% 6% 4% 3% 2% 1% 0% 0% 0% 0%\n" + ] + } + ], + "source": [ + "from collections import Counter\n", + "\n", + "def series_results(p, W=0, L=0):\n", + " \"\"\"Return {(win, loss): probability} for all possible outcomes of the series.\"\"\"\n", + " return MCounter({(W, L): 1} if W == 4 or L == 4 else\n", + " (p * series_results(p, W + 1, L) + \n", + " (1 - p) * series_results(p, W, L + 1)))\n", + " \n", + "def series_results_table(pcts=[p/100 for p in range(10, 95, 5)]):\n", + " outcomes = [(4, 0), (4, 1), (4, 2), (4, 3), (3, 4), (2, 4), (1, 4), (0, 4)]\n", + " print('W-L | Game Win Percentage')\n", + " print(' | ' + ' '.join(map(pct, pcts)))\n", + " print('----+' + '-' * 5 * len(pcts))\n", + " for (W, L) in outcomes:\n", + " results = [series_results(p)[W, L] for p in pcts]\n", + " print('{}-{} | {}'.format(W, L, ' '.join(map(pct, results))))\n", + " \n", + "class MCounter(Counter):\n", + " \"A multipliable Counter.\"\n", + " def __mul__(self, p): return MCounter({k: p * self[k] for k in self})\n", + " __rmul__ = __mul__\n", + " \n", + "series_results_table()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ + "So we see that our 60% team has a 13% chance of sweeping, and 13+21+21 = 55% chance of winning in 6 games or less.\n", + "\n", + "**Note:** I think `collections.Counter` should support multiplication. If `C` is a `Counter`, then shouldn't `C + C` be the same as `2 * C`?" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "---\n", + "\n", "# Historical Relic: 2016 NBA Playoffs\n", "\n", "\n", @@ -382,7 +461,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 13, "metadata": { "scrolled": true }, @@ -400,15 +479,15 @@ ], "source": [ "playoffs('Warriors',\n", - " [('Rockets', 0.83),\n", - " ('Clippers', 0.73),\n", - " ('Spurs', 0.58),\n", - " ('Cavs', 0.67)])" + " ('Rockets', 0.83),\n", + " ('Clippers', 0.73),\n", + " ('Spurs', 0.58),\n", + " ('Cavs', 0.67))" ] }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 14, "metadata": {}, "outputs": [ { @@ -424,15 +503,15 @@ ], "source": [ "playoffs('Spurs',\n", - " [('Memphis', 0.83),\n", - " ('Thunder', 0.62),\n", - " ('Warriors', 0.42),\n", - " ('Cavs', 0.67)])" + " ('Memphis', 0.83),\n", + " ('Thunder', 0.62),\n", + " ('Warriors', 0.42),\n", + " ('Cavs', 0.67))" ] }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 15, "metadata": {}, "outputs": [ { @@ -448,10 +527,10 @@ ], "source": [ "playoffs('Cavs',\n", - " [('Pistons', 0.83),\n", - " ('Hawks', 0.60),\n", - " ('Raptors', 0.55),\n", - " ('GSW/SAS', 0.33)])" + " ('Pistons', 0.83),\n", + " ('Hawks', 0.60),\n", + " ('Raptors', 0.55),\n", + " ('GSW/SAS', 0.33))" ] }, { @@ -476,7 +555,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 16, "metadata": {}, "outputs": [ { @@ -492,10 +571,10 @@ ], "source": [ "playoffs('Warriors',\n", - " [('Rockets', 0.70, 3, 1),\n", - " ('Blazers', 0.55),\n", - " ('Spurs', 0.55),\n", - " ('Cavs', 0.60)])" + " ('Rockets', 0.70, 3, 1),\n", + " ('Blazers', 0.55),\n", + " ('Spurs', 0.55),\n", + " ('Cavs', 0.60))" ] }, { @@ -507,7 +586,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 17, "metadata": {}, "outputs": [ { @@ -523,15 +602,15 @@ ], "source": [ "playoffs('Spurs',\n", - " [('Memphis', 0.83, 4, 0),\n", - " ('Thunder', 0.62),\n", - " ('Warriors', 0.45),\n", - " ('Cavs', 0.67)])" + " ('Memphis', 0.83, 4, 0),\n", + " ('Thunder', 0.62),\n", + " ('Warriors', 0.45),\n", + " ('Cavs', 0.67))" ] }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 18, "metadata": {}, "outputs": [ { @@ -547,10 +626,10 @@ ], "source": [ "playoffs('Cavs',\n", - " [('Pistons', 0.83, 4, 0),\n", - " ('Hawks', 0.60),\n", - " ('Raptors', 0.55),\n", - " ('GSW/SAS', 0.40)])" + " ('Pistons', 0.83, 4, 0),\n", + " ('Hawks', 0.60),\n", + " ('Raptors', 0.55),\n", + " ('GSW/SAS', 0.40))" ] }, { @@ -574,7 +653,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 19, "metadata": {}, "outputs": [ { @@ -590,15 +669,15 @@ ], "source": [ "playoffs('Warriors',\n", - " [('Rockets', 0.70, 4, 1),\n", - " ('Blazers', 0.67, 3, 1),\n", - " ('Spurs', 0.60),\n", - " ('Cavs', 0.55)])" + " ('Rockets', 0.70, 4, 1),\n", + " ('Blazers', 0.67, 3, 1),\n", + " ('Spurs', 0.60),\n", + " ('Cavs', 0.55))" ] }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 20, "metadata": {}, "outputs": [ { @@ -614,15 +693,15 @@ ], "source": [ "playoffs('Spurs',\n", - " [('Memphis', 0.83, 4, 0),\n", - " ('Thunder', 0.60, 2, 3),\n", - " ('Warriors', 0.40),\n", - " ('Cavs', 0.50)])" + " ('Memphis', 0.83, 4, 0),\n", + " ('Thunder', 0.60, 2, 3),\n", + " ('Warriors', 0.40),\n", + " ('Cavs', 0.50))" ] }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 21, "metadata": {}, "outputs": [ { @@ -638,15 +717,15 @@ ], "source": [ "playoffs('Thunder',\n", - " [('Dallas', 0.83, 4, 1),\n", - " ('Spurs', 0.40, 3, 2),\n", - " ('Warriors', 0.40),\n", - " ('Cavs', 0.45)])" + " ('Dallas', 0.83, 4, 1),\n", + " ('Spurs', 0.40, 3, 2),\n", + " ('Warriors', 0.40),\n", + " ('Cavs', 0.45))" ] }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 22, "metadata": {}, "outputs": [ { @@ -662,10 +741,10 @@ ], "source": [ "playoffs('Cavs',\n", - " [('Pistons', 0.83, 4, 0),\n", - " ('Hawks', 0.60, 4, 0),\n", - " ('Raptors', 0.65),\n", - " ('GS/SA/OK', 0.45)])" + " ('Pistons', 0.83, 4, 0),\n", + " ('Hawks', 0.60, 4, 0),\n", + " ('Raptors', 0.65),\n", + " ('GS/SA/OK', 0.45))" ] }, { @@ -690,7 +769,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 23, "metadata": {}, "outputs": [ { @@ -706,10 +785,10 @@ ], "source": [ "playoffs('Warriors',\n", - " [('Rockets', 0.70, 4, 1),\n", - " ('Blazers', 0.67, 4, 1),\n", - " ('Thunder', 0.63, 0, 1),\n", - " ('Cavs', 0.55)])" + " ('Rockets', 0.70, 4, 1),\n", + " ('Blazers', 0.67, 4, 1),\n", + " ('Thunder', 0.63, 0, 1),\n", + " ('Cavs', 0.55))" ] }, { @@ -725,7 +804,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 24, "metadata": {}, "outputs": [ { @@ -741,15 +820,15 @@ ], "source": [ "playoffs('Warriors',\n", - " [('Rockets', 0.70, 4, 1),\n", - " ('Blazers', 0.67, 4, 1),\n", - " ('Thunder', 0.55, 1, 3),\n", - " ('Cavs', 0.55)])" + " ('Rockets', 0.70, 4, 1),\n", + " ('Blazers', 0.67, 4, 1),\n", + " ('Thunder', 0.55, 1, 3),\n", + " ('Cavs', 0.55))" ] }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 25, "metadata": {}, "outputs": [ { @@ -765,15 +844,15 @@ ], "source": [ "playoffs('Cavs',\n", - " [('Pistons', 0.83, 4, 0),\n", - " ('Hawks', 0.60, 4, 0),\n", - " ('Raptors', 0.55, 2, 2),\n", - " ('Thunder', 0.45)])" + " ('Pistons', 0.83, 4, 0),\n", + " ('Hawks', 0.60, 4, 0),\n", + " ('Raptors', 0.55, 2, 2),\n", + " ('Thunder', 0.45))" ] }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 26, "metadata": {}, "outputs": [ { @@ -789,10 +868,10 @@ ], "source": [ "playoffs('Thunder',\n", - " [('Dallas', 0.83, 4, 1),\n", - " ('Spurs', 0.40, 4, 2),\n", - " ('Warriors', 0.45, 3, 1),\n", - " ('Cavs', 0.55)])" + " ('Dallas', 0.83, 4, 1),\n", + " ('Spurs', 0.40, 4, 2),\n", + " ('Warriors', 0.45, 3, 1),\n", + " ('Cavs', 0.55))" ] }, { @@ -810,7 +889,7 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 27, "metadata": {}, "outputs": [ { @@ -818,33 +897,62 @@ "output_type": "stream", "text": [ "W-L | Game Win Percentage\n", - " | 20% 25% 30% 35% 40% 45% 50% 55% 60% 65% 70% 75% 80%\n", - "----+-----------------------------------------------------------------\n", - "0-0 | 3% 7% 13% 20% 29% 39% 50% 61% 71% 80% 87% 93% 97%\n", - "0-1 | 2% 4% 7% 12% 18% 26% 34% 44% 54% 65% 74% 83% 90%\n", - "0-2 | 1% 2% 3% 5% 9% 13% 19% 26% 34% 43% 53% 63% 74%\n", - "0-3 | 0% 0% 1% 2% 3% 4% 6% 9% 13% 18% 24% 32% 41%\n", - "----+-----------------------------------------------------------------\n", - "1-0 | 10% 17% 26% 35% 46% 56% 66% 74% 82% 88% 93% 96% 98%\n", - "1-1 | 6% 10% 16% 24% 32% 41% 50% 59% 68% 76% 84% 90% 94%\n", - "1-2 | 3% 5% 8% 13% 18% 24% 31% 39% 48% 56% 65% 74% 82%\n", - "1-3 | 1% 2% 3% 4% 6% 9% 12% 17% 22% 27% 34% 42% 51%\n", - "----+-----------------------------------------------------------------\n", - "2-0 | 26% 37% 47% 57% 66% 74% 81% 87% 91% 95% 97% 98% 99%\n", - "2-1 | 18% 26% 35% 44% 52% 61% 69% 76% 82% 87% 92% 95% 97%\n", - "2-2 | 10% 16% 22% 28% 35% 43% 50% 57% 65% 72% 78% 84% 90%\n", - "2-3 | 4% 6% 9% 12% 16% 20% 25% 30% 36% 42% 49% 56% 64%\n", - "----+-----------------------------------------------------------------\n", - "3-0 | 59% 68% 76% 82% 87% 91% 94% 96% 97% 98% 99% 100% 100%\n", - "3-1 | 49% 58% 66% 73% 78% 83% 88% 91% 94% 96% 97% 98% 99%\n", - "3-2 | 36% 44% 51% 58% 64% 70% 75% 80% 84% 88% 91% 94% 96%\n", - "3-3 | 20% 25% 30% 35% 40% 45% 50% 55% 60% 65% 70% 75% 80%\n" + " | 15% 20% 25% 30% 35% 40% 45% 50% 55% 60% 65% 70% 75% 80% 85%\n", + "----+---------------------------------------------------------------------------\n", + "0-0 | 1% 3% 7% 13% 20% 29% 39% 50% 61% 71% 80% 87% 93% 97% 99%\n", + "0-1 | 1% 2% 4% 7% 12% 18% 26% 34% 44% 54% 65% 74% 83% 90% 95%\n", + "0-2 | 0% 1% 2% 3% 5% 9% 13% 19% 26% 34% 43% 53% 63% 74% 84%\n", + "0-3 | 0% 0% 0% 1% 2% 3% 4% 6% 9% 13% 18% 24% 32% 41% 52%\n", + "----+---------------------------------------------------------------------------\n", + "1-0 | 5% 10% 17% 26% 35% 46% 56% 66% 74% 82% 88% 93% 96% 98% 99%\n", + "1-1 | 3% 6% 10% 16% 24% 32% 41% 50% 59% 68% 76% 84% 90% 94% 97%\n", + "1-2 | 1% 3% 5% 8% 13% 18% 24% 31% 39% 48% 56% 65% 74% 82% 89%\n", + "1-3 | 0% 1% 2% 3% 4% 6% 9% 12% 17% 22% 27% 34% 42% 51% 61%\n", + "----+---------------------------------------------------------------------------\n", + "2-0 | 16% 26% 37% 47% 57% 66% 74% 81% 87% 91% 95% 97% 98% 99% 100%\n", + "2-1 | 11% 18% 26% 35% 44% 52% 61% 69% 76% 82% 87% 92% 95% 97% 99%\n", + "2-2 | 6% 10% 16% 22% 28% 35% 43% 50% 57% 65% 72% 78% 84% 90% 94%\n", + "2-3 | 2% 4% 6% 9% 12% 16% 20% 25% 30% 36% 42% 49% 56% 64% 72%\n", + "----+---------------------------------------------------------------------------\n", + "3-0 | 48% 59% 68% 76% 82% 87% 91% 94% 96% 97% 98% 99% 100% 100% 100%\n", + "3-1 | 39% 49% 58% 66% 73% 78% 83% 88% 91% 94% 96% 97% 98% 99% 100%\n", + "3-2 | 28% 36% 44% 51% 58% 64% 70% 75% 80% 84% 88% 91% 94% 96% 98%\n", + "3-3 | 15% 20% 25% 30% 35% 40% 45% 50% 55% 60% 65% 70% 75% 80% 85%\n" ] } ], "source": [ "series_table()" ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 20 June 2016 \n", + "\n", + "Congratulations to LeBron and the Cavs for overcoming long odds to win a championship for Cleveland. My model says the Warriors were at 94% when they were up 3-1, and if you go by point differential, almost 97%:" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.9671243623571251" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "win_series(simulate(10.38 - 5.45), W=3, L=1)" + ] } ], "metadata": { From 0f75ed96d35dfd6cffea35a8288f72e79037df23 Mon Sep 17 00:00:00 2001 From: Sandeep Ghimire <24954470+Sandeep-Ghimire@users.noreply.github.com> Date: Sun, 15 Apr 2018 12:02:52 +0545 Subject: [PATCH 71/90] apply Issue replaced 'apply':apply in environment dictionary with 'apply':lambda proc, args: proc(*args) --- py/lis.py | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/py/lis.py b/py/lis.py index 2d031ad..525f982 100644 --- a/py/lis.py +++ b/py/lis.py @@ -57,7 +57,7 @@ def standard_env(): '>':op.gt, '<':op.lt, '>=':op.ge, '<=':op.le, '=':op.eq, 'abs': abs, 'append': op.add, - 'apply': apply, + 'apply': lambda proc, args: proc(*args), 'begin': lambda *x: x[-1], 'car': lambda x: x[0], 'cdr': lambda x: x[1:], @@ -142,4 +142,4 @@ def eval(x, env=global_env): else: # (proc arg...) proc = eval(x[0], env) args = [eval(exp, env) for exp in x[1:]] - return proc(*args) \ No newline at end of file + return proc(*args) From cfef4208cde25907c66efd3f01b6acf42b1d06ab Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Sun, 15 Apr 2018 15:35:09 -0700 Subject: [PATCH 72/90] Add files via upload --- ipynb/WWW.ipynb | 30 +++++++++++++++--------------- 1 file changed, 15 insertions(+), 15 deletions(-) diff --git a/ipynb/WWW.ipynb b/ipynb/WWW.ipynb index 04836cc..1839823 100644 --- a/ipynb/WWW.ipynb +++ b/ipynb/WWW.ipynb @@ -13,7 +13,7 @@ "1. **Holistic**: I just feel that the Warriors have about a 1/3 chance of winning it all.\n", "2. **Game by Game**: I think the Warriors have an 75% chance of winning each game in the first round, then 65% for each game in the second round, but only 45% against the Rockets, then 55% if they make it to the finals. From that I'll calculate their overall chance.\n", "3. **Point by Point**: The Warriors have a per-game average point differential of +5.8; I'll compare that to the other teams and caclulate their overall chance.\n", - "4. **Play by Play**: Use [detailed statistics](https://www.basketball-reference.com/play-index/plus/shot_finder.cgi) to model the game shot-by-shot, or even pass-by-pass.\n", + "4. **Play by Play**: Use [detailed statistics](https://www.basketball-reference.com/play-index/plus/shot_finder.cgi) to [model](https://danvatterott.com/blog/2016/06/16/creating-videos-of-nba-action-with-sportsvu-data/) the game shot-by-shot, or even pass-by-pass. That's too complex for me.\n", "\n", "# Point by Point Model\n", "\n", @@ -54,7 +54,7 @@ { "data": { "text/plain": [ - "0.61166" + "0.61119" ] }, "execution_count": 2, @@ -90,7 +90,7 @@ "5 point differential = 68% win game\n", "6 point differential = 72% win game\n", "7 point differential = 75% win game\n", - "8 point differential = 77% win game\n", + "8 point differential = 78% win game\n", "9 point differential = 80% win game\n" ] } @@ -146,13 +146,13 @@ "name": "stdout", "output_type": "stream", "text": [ - "0 point differential = 50% win game = 50% win series\n", + "0 point differential = 50% win game = 49% win series\n", "1 point differential = 54% win game = 58% win series\n", - "2 point differential = 58% win game = 66% win series\n", - "3 point differential = 61% win game = 74% win series\n", + "2 point differential = 57% win game = 66% win series\n", + "3 point differential = 61% win game = 73% win series\n", "4 point differential = 65% win game = 80% win series\n", "5 point differential = 68% win game = 85% win series\n", - "6 point differential = 72% win game = 89% win series\n", + "6 point differential = 71% win game = 89% win series\n", "7 point differential = 75% win game = 93% win series\n", "8 point differential = 78% win game = 95% win series\n", "9 point differential = 80% win game = 97% win series\n" @@ -328,9 +328,9 @@ "output_type": "stream", "text": [ "Rockets vs Wolves 89%; through here: 89%\n", - "Rockets vs Jazz 78%; through here: 70%\n", + "Rockets vs Jazz 78%; through here: 69%\n", "Rockets vs Warriors 69%; through here: 48%\n", - "Rockets vs Raptors 58%; through here: 28%\n" + "Rockets vs Raptors 57%; through here: 27%\n" ] } ], @@ -352,7 +352,7 @@ "output_type": "stream", "text": [ "Warriors vs Spurs 73%; through here: 73%\n", - "Warriors vs Blazers 76%; through here: 55%\n", + "Warriors vs Blazers 74%; through here: 54%\n", "Warriors vs Rockets 31%; through here: 17%\n", "Warriors vs Raptors 38%; through here: 6%\n" ] @@ -405,7 +405,7 @@ "\n", "def series_results(p, W=0, L=0):\n", " \"\"\"Return {(win, loss): probability} for all possible outcomes of the series.\"\"\"\n", - " return MCounter({(W, L): 1} if W == 4 or L == 4 else\n", + " return MCounter([(W, L)] if W == 4 or L == 4 else\n", " (p * series_results(p, W + 1, L) + \n", " (1 - p) * series_results(p, W, L + 1)))\n", " \n", @@ -432,7 +432,7 @@ "source": [ "So we see that our 60% team has a 13% chance of sweeping, and 13+21+21 = 55% chance of winning in 6 games or less.\n", "\n", - "**Note:** I think `collections.Counter` should support multiplication. If `C` is a `Counter`, then shouldn't `C + C` be the same as `2 * C`?" + "**Note:** I think `Counter` should support multiplication. If `C` is a `Counter`, then shouldn't `C + C` be the same as `2 * C`?" ] }, { @@ -936,16 +936,16 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "0.9671243623571251" + "0.967480202675441" ] }, - "execution_count": 29, + "execution_count": 28, "metadata": {}, "output_type": "execute_result" } From 296168e42c14916d5309cb739a95943ab425ace8 Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Sun, 15 Apr 2018 15:50:33 -0700 Subject: [PATCH 73/90] Add files via upload --- ipynb/WWW.ipynb | 85 ++++++++++++++++++++++++++----------------------- 1 file changed, 46 insertions(+), 39 deletions(-) diff --git a/ipynb/WWW.ipynb b/ipynb/WWW.ipynb index 1839823..eaec1e4 100644 --- a/ipynb/WWW.ipynb +++ b/ipynb/WWW.ipynb @@ -54,7 +54,7 @@ { "data": { "text/plain": [ - "0.61119" + "0.61163" ] }, "execution_count": 2, @@ -84,7 +84,7 @@ "text": [ "0 point differential = 50% win game\n", "1 point differential = 54% win game\n", - "2 point differential = 57% win game\n", + "2 point differential = 58% win game\n", "3 point differential = 61% win game\n", "4 point differential = 65% win game\n", "5 point differential = 68% win game\n", @@ -146,16 +146,16 @@ "name": "stdout", "output_type": "stream", "text": [ - "0 point differential = 50% win game = 49% win series\n", + "0 point differential = 50% win game = 50% win series\n", "1 point differential = 54% win game = 58% win series\n", "2 point differential = 57% win game = 66% win series\n", "3 point differential = 61% win game = 73% win series\n", "4 point differential = 65% win game = 80% win series\n", "5 point differential = 68% win game = 85% win series\n", - "6 point differential = 71% win game = 89% win series\n", + "6 point differential = 72% win game = 89% win series\n", "7 point differential = 75% win game = 93% win series\n", "8 point differential = 78% win game = 95% win series\n", - "9 point differential = 80% win game = 97% win series\n" + "9 point differential = 81% win game = 97% win series\n" ] } ], @@ -330,7 +330,7 @@ "Rockets vs Wolves 89%; through here: 89%\n", "Rockets vs Jazz 78%; through here: 69%\n", "Rockets vs Warriors 69%; through here: 48%\n", - "Rockets vs Raptors 57%; through here: 27%\n" + "Rockets vs Raptors 58%; through here: 28%\n" ] } ], @@ -351,9 +351,9 @@ "name": "stdout", "output_type": "stream", "text": [ - "Warriors vs Spurs 73%; through here: 73%\n", + "Warriors vs Spurs 72%; through here: 72%\n", "Warriors vs Blazers 74%; through here: 54%\n", - "Warriors vs Rockets 31%; through here: 17%\n", + "Warriors vs Rockets 31%; through here: 16%\n", "Warriors vs Raptors 38%; through here: 6%\n" ] } @@ -374,13 +374,27 @@ "\n", "# Series Length\n", "\n", - "Given a team's game win percentage, how many games should we expect a series to run? That is, with a game win percentage of 60%, how likely is it to sweep all 4 games? To go to 7 games? Here's a chart:" + "Given a team's game win percentage, how many games should we expect a series to run? That is, with a game win percentage of 60%, how likely is it to sweep all 4 games? To go to 7 games? Here's a chart of the probability of each possible series outcome, based on the win percentage of the first team:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, + "outputs": [], + "source": [ + "import collections\n", + "\n", + "class MCounter(collections.Counter):\n", + " \"A multipliable Counter: you can say `2 * MCounter(stuff)`.\"\n", + " def __mul__(self, p): return MCounter({k: p * self[k] for k in self})\n", + " __rmul__ = __mul__" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -401,11 +415,9 @@ } ], "source": [ - "from collections import Counter\n", - "\n", - "def series_results(p, W=0, L=0):\n", + "def series_results(p, W=0, L=0) -> MCounter:\n", " \"\"\"Return {(win, loss): probability} for all possible outcomes of the series.\"\"\"\n", - " return MCounter([(W, L)] if W == 4 or L == 4 else\n", + " return MCounter([(W, L)] if W == 4 or L == 4 else\n", " (p * series_results(p, W + 1, L) + \n", " (1 - p) * series_results(p, W, L + 1)))\n", " \n", @@ -417,12 +429,7 @@ " for (W, L) in outcomes:\n", " results = [series_results(p)[W, L] for p in pcts]\n", " print('{}-{} | {}'.format(W, L, ' '.join(map(pct, results))))\n", - " \n", - "class MCounter(Counter):\n", - " \"A multipliable Counter.\"\n", - " def __mul__(self, p): return MCounter({k: p * self[k] for k in self})\n", - " __rmul__ = __mul__\n", - " \n", + "\n", "series_results_table()" ] }, @@ -430,9 +437,9 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "So we see that our 60% team has a 13% chance of sweeping, and 13+21+21 = 55% chance of winning in 6 games or less.\n", + "So we see that our 60% team has a 13% chance of sweeping (4-0), and 13+21+21 = 55% chance of winning in 6 games or less.\n", "\n", - "**Note:** I think `Counter` should support multiplication. If `C` is a `Counter`, then shouldn't `C + C` be the same as `2 * C`?" + "**Note:** I had to define `MCounter` because `collectionsCounter` does not support multiplication. I think it should: if `C` is a `Counter`, then shouldn't `C + C` be the same as `2 * C`?" ] }, { @@ -461,7 +468,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 14, "metadata": { "scrolled": true }, @@ -487,7 +494,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 15, "metadata": {}, "outputs": [ { @@ -511,7 +518,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 16, "metadata": {}, "outputs": [ { @@ -555,7 +562,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 17, "metadata": {}, "outputs": [ { @@ -586,7 +593,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 18, "metadata": {}, "outputs": [ { @@ -610,7 +617,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 19, "metadata": {}, "outputs": [ { @@ -653,7 +660,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 20, "metadata": {}, "outputs": [ { @@ -677,7 +684,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 21, "metadata": {}, "outputs": [ { @@ -701,7 +708,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 22, "metadata": {}, "outputs": [ { @@ -725,7 +732,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 23, "metadata": {}, "outputs": [ { @@ -769,7 +776,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 24, "metadata": {}, "outputs": [ { @@ -804,7 +811,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 25, "metadata": {}, "outputs": [ { @@ -828,7 +835,7 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 26, "metadata": {}, "outputs": [ { @@ -852,7 +859,7 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 27, "metadata": {}, "outputs": [ { @@ -889,7 +896,7 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 28, "metadata": {}, "outputs": [ { @@ -936,16 +943,16 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "0.967480202675441" + "0.966301733" ] }, - "execution_count": 28, + "execution_count": 29, "metadata": {}, "output_type": "execute_result" } From a54c63b538e5c95c22ab978c405e4540e28692a8 Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Sun, 15 Apr 2018 15:51:24 -0700 Subject: [PATCH 74/90] Update README.md --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index cd352c1..91a6d41 100644 --- a/README.md +++ b/README.md @@ -21,7 +21,7 @@ Some are in Jupyter (IPython) notebooks, some in `.py` files. You can view the f |[When is Cheryl's Birthday?](https://github.com/norvig/pytudes/blob/master/ipynb/Cheryl.ipynb)
*Solving the "Cheryl's Birthday" logic puzzle.*| |[When Cheryl Met Eve: A Birthday Story](https://github.com/norvig/pytudes/blob/master/ipynb/Cheryl-and-Eve.ipynb)
*Inventing new puzzles in the Style of Cheryl's Birthday.*| |[Sol Golomb's Rectangle Puzzle](https://github.com/norvig/pytudes/blob/master/ipynb/Golomb-Puzzle.ipynb)
*A Puzzle involving placing rectangles of different sizes inside a square. Bonus: cryptarithmetic.*| -|[WWW: Who WIll Win (NBA Title)?](https://github.com/norvig/pytudes/blob/master/ipynb/WWW.ipynb)
*Golden State Warriors probability of winning the 2016 NBA title.*| +|[WWW: Who WIll Win (NBA Title)?](https://github.com/norvig/pytudes/blob/master/ipynb/WWW.ipynb)
*Computing the probability of winning the NBA title, for my home town Warriors, or any other team.*| |[The Riddler: Battle Royale](https://github.com/norvig/pytudes/blob/master/ipynb/Riddler%20Battle%20Royale.ipynb)
*A puzzle involving allocating your troops and going up against an opponent.*| |Math Concepts| From 43c5526872026c119a2a0248f3def9d0a4ec5b18 Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Mon, 16 Apr 2018 17:34:43 -0700 Subject: [PATCH 75/90] Add files via upload --- ipynb/TSP.ipynb | 559 +++++++++++++++++++++++++----------------------- 1 file changed, 297 insertions(+), 262 deletions(-) diff --git a/ipynb/TSP.ipynb b/ipynb/TSP.ipynb index c37cff5..68352f5 100644 --- a/ipynb/TSP.ipynb +++ b/ipynb/TSP.ipynb @@ -16,9 +16,6 @@ "|---|\n", "|[An example tour](http://www.math.uwaterloo.ca/tsp/history/pictorial/dfj.html)|\n", "\n", - " \n", - "# Understanding What We're Talking About\n", - "\n", "Do we understand the problem statement well enough to program a solution? Let's check:\n", "\n", "- ***Given a set of cities***\n", @@ -91,9 +88,11 @@ "source": [ "This gives us a good start; the Python code closely matches the English description. Now for the TO DO list.\n", "\n", - "**Cities:** the only thing we need to know about a city is its distance to other cities. We don't need to know the city's name, population, best restaurants, or anything else. We'll assume the distance between two cities is the [Euclidean distance](http://en.wikipedia.org/wiki/Euclidean_distance), the straight-line distance between points in a two-dimensional plane. So I want `City(300, 100)` to be the city with x-coordinate 300 and y coordinate 100. At first glance it seems like Python does not have a builtin type for a point in the two-dimensional plane, but actually there is one: complex numbers. I'll implement `City` with `complex`, which means the distance between two cities, `distance(A, B)`, is the absolute value of the vector difference between them. \n", + "**Tours:** A tour that starts in city `1`, moves to `2`, then `3`, then back to `1` will be represented by `(1, 2, 3)`. Any valid tour of a set of cities will be a *permutation* of the cities. That means we can implement `alltours` with the built-in `permutations` function (from the `itertools` module). \n", + "The length of a tour is the sum of the distances between adjacent cities in the tour—the sum of the lengths of the **links** between cities in the tour. \n", "\n", - "I'll also define `Cities(n)` to make a set of `n` random cities. I want `Cities` to be reproducible (to return the same result when called with the same arguments), so I provide a keyword argument that sets `random.seed`. " + "**Cities:** the only thing we need to know about a city is its distance to other cities. We don't need to know the city's name, population, best restaurants, or anything else. We'll assume the distance between two cities is the [Euclidean distance](http://en.wikipedia.org/wiki/Euclidean_distance), the straight-line distance between points in a two-dimensional plane. So I want `City(300, 100)` to be the city with x-coordinate 300 and y coordinate 100. At first glance it seems like Python does not have a builtin type for a point in the two-dimensional plane, but actually there is one: complex numbers. I'll implement `City` with `complex`, which means the distance between two cities, `distance(A, B)`, is the absolute value of the vector difference between them. \n", + "I'll also define `Cities(n)` to make a set of `n` random cities. I want `Cities(n)` to be reproducible (to return the same result when called with the same arguments), so I provide an optional argument that sets `random.seed`. " ] }, { @@ -101,32 +100,6 @@ "execution_count": 3, "metadata": {}, "outputs": [], - "source": [ - "City = complex\n", - "\n", - "def Cities(n, seed=123, width=999, height=666):\n", - " \"Make a set of n cities, sampled uniformly from a (width x height) rectangle.\"\n", - " random.seed((n, seed))\n", - " return frozenset(City(random.randint(1, width), random.randint(1, height))\n", - " for c in range(n))\n", - "\n", - "def distance(A, B): return abs(A - B)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "**Tours:** A tour that starts in city `1`, moves to `2`, then `3`, then back to `1` will be represented by `(1, 2, 3)`. Any valid tour of a set of cities will be a *permutation* of the cities. That means we can implement `alltours` with the built-in `permutations` function (from the `itertools` module). \n", - "\n", - "The length of a tour is the sum of the distances between adjacent cities in the tour—the sum of the lengths of the **links** between cities in the tour. " - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [], "source": [ "alltours = permutations \n", "\n", @@ -134,7 +107,17 @@ " \"\"\"The total of distances between each pair of consecutive cities in the tour.\n", " This includes the last-to-first, distance(tour[-1], tour[0])\"\"\"\n", " return sum(distance(tour[i - 1], tour[i]) \n", - " for i in range(len(tour)))" + " for i in range(len(tour)))\n", + "\n", + "City = complex\n", + "\n", + "def distance(A, B): return abs(A - B)\n", + "\n", + "def Cities(n, seed=123, width=999, height=666):\n", + " \"Make a set of n cities, sampled uniformly from a (width x height) rectangle.\"\n", + " random.seed((n, seed))\n", + " return frozenset(City(random.randint(1, width), random.randint(1, height))\n", + " for c in range(n))" ] }, { @@ -148,7 +131,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 4, "metadata": {}, "outputs": [ { @@ -165,7 +148,7 @@ " (31+501j))" ] }, - "execution_count": 5, + "execution_count": 4, "metadata": {}, "output_type": "execute_result" } @@ -185,7 +168,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 5, "metadata": {}, "outputs": [], "source": [ @@ -208,14 +191,14 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -239,7 +222,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ @@ -258,21 +241,21 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "exhaustive: 9 cities ⇒ tour length 2450 (in 1.229 sec)\n" + "exhaustive: 9 cities ⇒ tour length 2450 (in 1.049 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -299,7 +282,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 9, "metadata": {}, "outputs": [ { @@ -308,7 +291,7 @@ "[(1, 2, 3), (1, 3, 2), (2, 1, 3), (2, 3, 1), (3, 1, 2), (3, 2, 1)]" ] }, - "execution_count": 10, + "execution_count": 9, "metadata": {}, "output_type": "execute_result" } @@ -326,7 +309,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 10, "metadata": {}, "outputs": [], "source": [ @@ -347,7 +330,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 11, "metadata": {}, "outputs": [ { @@ -356,7 +339,7 @@ "[[1, 2, 3], [1, 3, 2]]" ] }, - "execution_count": 12, + "execution_count": 11, "metadata": {}, "output_type": "execute_result" } @@ -367,21 +350,21 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "exhaustive: 10 cities ⇒ tour length 2720 (in 1.553 sec)\n" + "exhaustive: 10 cities ⇒ tour length 2720 (in 1.466 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -427,14 +410,14 @@ "\n", "* ***Start at some city*** (pass the start city as an argument, or if `None`, use the first city in the set)\n", "* ***... at each step extend the tour*** (using `tour.append`)\n", - "* ***... by moving from the previous city*** (the previous city is `tour[-1]`)\n", + "* ***... by moving from the previous city*** (`C`)\n", "* ***...to its nearest neighbor*** (as given by the function `nearest_neighbor`)\n", "* ***...that has not yet been visited*** (I will maintain a set of `unvisited` cities)" ] }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 13, "metadata": {}, "outputs": [], "source": [ @@ -442,11 +425,11 @@ " \"\"\"Start the tour at the given start city (default: first city); \n", " at each step extend the tour by moving from the previous city \n", " to its nearest neighbor that has not yet been visited.\"\"\"\n", - " start = start or first(cities)\n", - " tour = [start]\n", - " unvisited = set(cities - {start})\n", + " C = start or first(cities)\n", + " tour = [C]\n", + " unvisited = set(cities - {C})\n", " while unvisited:\n", - " C = nearest_neighbor(tour[-1], unvisited)\n", + " C = nearest_neighbor(C, unvisited)\n", " tour.append(C)\n", " unvisited.remove(C)\n", " return tour\n", @@ -467,21 +450,21 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "nn: 1998 cities ⇒ tour length 33688 (in 0.539 sec)\n" + "nn: 1998 cities ⇒ tour length 33688 (in 0.510 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -501,7 +484,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 15, "metadata": {}, "outputs": [ { @@ -515,7 +498,7 @@ "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -541,7 +524,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 16, "metadata": {}, "outputs": [], "source": [ @@ -554,7 +537,7 @@ " if k >= len(population): \n", " return population\n", " else:\n", - " random.seed((len(population), k, seed))\n", + " random.seed((k, seed))\n", " return random.sample(population, k)" ] }, @@ -567,7 +550,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 17, "metadata": {}, "outputs": [ { @@ -581,7 +564,7 @@ "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -594,21 +577,21 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "rep_nn: 1998 cities ⇒ tour length 32327 (in 13.049 sec)\n" + "rep_nn: 1998 cities ⇒ tour length 32382 (in 12.480 sec)\n" ] }, { "data": { - "image/png": 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\n", 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -643,7 +626,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 19, "metadata": {}, "outputs": [], "source": [ @@ -674,7 +657,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 20, "metadata": {}, "outputs": [], "source": [ @@ -683,21 +666,21 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "nn: 1089 cities ⇒ tour length 52879 (in 0.170 sec)\n" + "nn: 1089 cities ⇒ tour length 52879 (in 0.158 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -722,7 +705,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 22, "metadata": {}, "outputs": [ { @@ -736,7 +719,7 @@ "data": { "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -760,7 +743,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 23, "metadata": {}, "outputs": [ { @@ -769,7 +752,7 @@ "15.299342436137655" ] }, - "execution_count": 24, + "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, @@ -777,7 +760,7 @@ "data": { "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -799,19 +782,19 @@ "source": [ "That's an improvement! \n", "\n", - "Below is a diagram to explain why uncrossing the X is *always* an improvement. The four cities that form the cross are marked with red diamonds. The crossed lines that we will remove are dotted blue; the lines we will add are red. We can see that two red-and-blue triangles are formed, and by the [triangle inequality](https://en.wikipedia.org/wiki/Triangle_inequality) each red line is shorter than the two parts of the blue lines that make up the rest of the triangle." + "Below is a diagram to explain why uncrossing the X is *always* an improvement. Below the crossed lines that we will remove are dotted blue; the lines we will add are dashed red. We can see that two red-and-blue triangles are formed, and by the [triangle inequality](https://en.wikipedia.org/wiki/Triangle_inequality) each red line is shorter than the two parts of the blue lines that make up the rest of the triangle." ] }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 24, "metadata": {}, "outputs": [ { "data": { - "image/png": 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oiAjoIYRQEBHQQwihICKghxBCQURADyGEgoiAHkIIBREBPYQQCiICegghFEQE9BBCKIgI6CGEUBD/D9InpkfzGD+AAAAAAElFTkSuQmCC\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -819,8 +802,8 @@ } ], "source": [ - "plot_tour([tour[4], tour[5]], 'r:'); plot_tour([tour[5], tour[0]], 'b:')\n", - "plot_tour([tour[0], tour[9]], 'r:'); plot_tour([tour[9], tour[4]], 'b:')\n" + "plot_tour([tour[4], tour[5]], 'r--'); plot_tour([tour[5], tour[0]], 'b:')\n", + "plot_tour([tour[0], tour[9]], 'r--'); plot_tour([tour[9], tour[4]], 'b:')\n" ] }, { @@ -834,7 +817,7 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 25, "metadata": {}, "outputs": [], "source": [ @@ -857,7 +840,7 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 26, "metadata": {}, "outputs": [], "source": [ @@ -886,7 +869,7 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 27, "metadata": {}, "outputs": [ { @@ -895,7 +878,7 @@ "[(1, 5), (0, 4), (2, 5), (1, 4), (0, 3), (3, 5), (2, 4), (1, 3), (0, 2)]" ] }, - "execution_count": 28, + "execution_count": 27, "metadata": {}, "output_type": "execute_result" } @@ -915,7 +898,7 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 28, "metadata": {}, "outputs": [], "source": [ @@ -931,7 +914,7 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 29, "metadata": {}, "outputs": [ { @@ -945,7 +928,7 @@ "data": { "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -958,21 +941,21 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "improve_nn: 1089 cities ⇒ tour length 45489 (in 2.668 sec)\n" + "improve_nn: 1089 cities ⇒ tour length 45489 (in 2.571 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -992,21 +975,21 @@ }, { "cell_type": "code", - "execution_count": 32, + "execution_count": 31, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "rep_improve_nn: 1089 cities ⇒ tour length 44901 (in 15.133 sec)\n" + "rep_improve_nn: 1089 cities ⇒ tour length 44500 (in 15.181 sec)\n" ] }, { "data": { - "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1021,12 +1004,12 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "We saved another 600 miles! Could we do better still by trying more repetitions? Maybe, but there's a problem: `do` doesn't accept extra arguments, so I can't change *k* from the default value of 5. I could modify `do`, but instead I'll define a [higher-order function](https://en.wikipedia.org/wiki/Higher-order_function), `bind`, so that `bind(rep_improve_nn_tsp, 5)` creates a new function that calls `rep_improve_nn_tsp` with one extra argument (*k*) bound to 5. (My `bind` is similar to `functools.partial`, but does a better job with the function name of the newly created function.)" + "Even better! Could we do better still by trying more repetitions? Maybe, but there's a problem: `do` doesn't accept extra arguments, so I have no place to change `rep_improve_nn_tsp`'s optional *k* parameter from the default value of 5. I could modify `do`, but instead I'll define a [higher-order function](https://en.wikipedia.org/wiki/Higher-order_function), `bind`, so that `bind(rep_improve_nn_tsp, 5)` creates a new function, that, when called with the argument `cities`, calls `rep_improve_nn_tsp(cities, 5)`. (My `bind` does the same job as `functools.partial`, but also sets the function name of the newly created function.)" ] }, { "cell_type": "code", - "execution_count": 33, + "execution_count": 32, "metadata": {}, "outputs": [], "source": [ @@ -1040,21 +1023,21 @@ }, { "cell_type": "code", - "execution_count": 34, + "execution_count": 33, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "rep_improve_nn, 12: 1089 cities ⇒ tour length 44622 (in 36.311 sec)\n" + "rep_improve_nn, 10: 1089 cities ⇒ tour length 44418 (in 32.362 sec)\n" ] }, { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1062,19 +1045,18 @@ } ], "source": [ - "do(bind(rep_improve_nn_tsp, 12), USA)" + "do(bind(rep_improve_nn_tsp, 10), USA)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "We took another 300 miles off, but we may be at the point of diminishing returns. Let's try something new.\n", + "We got a slight improvement, but we may be at the point of diminishing returns. Let's try something new.\n", "\n", "# Greedy Algorithm: `greedy_tsp`\n", "\n", - "We've covered the Nearest Neighbor Algorithm and some variations; now it is time to develop the so-called Greedy Algorithm, which (naturally) is an instance of the **greedy strategy**, this time being greedy in adding the \n", - "**shortest links**, not nearest neighbors.\n", + "Let's return to the **greedy strategy**. We've already covered the Nearest Neighbor Algorithm, which follows the greedy strategy in always choosing the neighbor that is nearest to the last city in the tour. But one problem is that when you get near the end of the tour, you may be left with some very long links. Another way to be greedy is to always grab the shortest possible link, from among all the links between cities. That means we will no longer be building up a single tour, city by city; rather we will be maintaining a set of segments, and joining segments together by greedily choosing the shortest link:\n", "\n", "> **Greedy Algorithm:** *Maintain a set of segments; intially each city defines its own 1-city segment. Find the shortest possible link that connects two endpoints of two different segments, and join those segments with that link. Repeat until we form a single segment that tours all the cities.*\n", "\n", @@ -1082,7 +1064,7 @@ "\n", "1. Pre-compute a list of links, sorted by shortest link first. A link is a pair of cities: `(A, B)`.\n", "2. Maintain a dict that maps **endpoints** to **segments**, e.g. `{A: [A, B, C], C: [A, B, C], D: [D]}` means that `A` and `C` are the endpoints of segment `[A, B, C]` and `D` is a 1-city segment. \n", - "3. Go through the links in shortest-first order. When you find a link like `(A, D)` such that `A` and `D` are endpoints of different segments, then join the two segments together. Update the endpoints dict to reflect this new segment: `{A: [D, A, B, C], D: [D, A, B, C]}`.\n", + "3. Go through the links in shortest-first order. Suppose `(B, D)` is the next shortest link. We can't use it, because `B` is already attached to `A` and `C`. But if `(A, D)` is the next shortest, that works: `A` and `D` are endpoints of different segments, so we can join the two segments together. Update the endpoints dict to reflect this new segment: `{A: [D, A, B, C], D: [D, A, B, C]}`.\n", "4. Stop when the newly created segment contains all the cities.\n", "\n", "Here is the code:\n" @@ -1090,7 +1072,7 @@ }, { "cell_type": "code", - "execution_count": 35, + "execution_count": 34, "metadata": {}, "outputs": [], "source": [ @@ -1123,7 +1105,7 @@ }, { "cell_type": "code", - "execution_count": 36, + "execution_count": 35, "metadata": {}, "outputs": [], "source": [ @@ -1147,21 +1129,21 @@ }, { "cell_type": "code", - "execution_count": 37, + "execution_count": 36, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "greedy: 1089 cities ⇒ tour length 46982 (in 0.604 sec)\n" + "greedy: 1089 cities ⇒ tour length 46982 (in 0.561 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1174,21 +1156,21 @@ }, { "cell_type": "code", - "execution_count": 38, + "execution_count": 37, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "improve_greedy: 1089 cities ⇒ tour length 43844 (in 2.964 sec)\n" + "improve_greedy: 1089 cities ⇒ tour length 43844 (in 2.855 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1203,7 +1185,8 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "That's the best result yet, knocking off another 800 miles!\n", + "That's the best result yet, and it only took 3 seconds!\n", + "\n", "What about a repetitive greedy algorithm? That might be a good idea, but there is no obvious way to do it, because the greedy algorithm as it stands doesn't have a parameter that can be varied on each repeated run.\n", "\n", "## Visualizing the Greedy Algorithm\n", @@ -1213,7 +1196,7 @@ }, { "cell_type": "code", - "execution_count": 39, + "execution_count": 38, "metadata": {}, "outputs": [], "source": [ @@ -1242,14 +1225,14 @@ }, { "cell_type": "code", - "execution_count": 40, + "execution_count": 39, "metadata": {}, "outputs": [ { "data": { - "image/png": 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NdeX0JPGnn74fjOFo4B3AbYU/qWVOv9Lisi89sArF07oJO44jgMfvhNndqk8kh3fBIjjBW9qDZSvzlfvh9amfvhcWAWutZV/ht6uz+FK4SgNREorRtVH7VGPUcexYrOCQLN4Fi8CQ1/v/4fXzLjGNjOFQ4ExgYt+f1faut9JAVMvA5bdk1GakHN4FC2OYCVcfDRf+Fq7tR59sf+8SU+hTwHet5dmwH9bqrrfSC5gueAOjif/SwQRFJj8Yw4kEue15UP/rIKVU2Yc3ombRARtVs4hJcAyOXgkf/Cg8djdsvUDvvYhbqQ4WhYN53vgjrHo/TDjLWjZX5//VXWLcFKxFkim1wSL8onLRLrhlqi4q6RWMyN60oDgNOPsmax9QqkLEkUGud6D/8nstdRFMQTBqNDRtCQKJpJM6GIgkUYoL3PkjtVcDV9LTwhgPrZs1LiKt1MFAJIlS3LLovah8i1yggNy4iCZNT55K7cuCGkV3z9d+d0M1pr7BmKnrjJm3JXhUq1iSKcUti96+7eMalbbwR5a6oWq2AEmT1AaL3EWlaUuQelLawhfZ6Xev2QIkPVKchuq9qLTPKE5bLPmDr2kL8YmK+eVQqi4ZUtuy6FWctnh9L/zTNPjV1cbMe5tWypPkUjG/FKXqkiO14yyiBCfXJx6Bq+tdDeoqXvlLwUqKGXPXZ+GOq6FtcLnnatbOLY27SY7UtyyKNbXlAgXEnQfWnZCUwxg+ACcvhcdOgdnnlFPMz+a5pVRdUngYLFyfXCpayv4ZwzuAW4CPWbtkMywpc3qaLJ5bStUlRaoL3OF6T658cZ5ckcFqjopz2VRYoJ1xC+y4C1he+Rxmrm+EXMjWuJsk87Bl0Tv+4tLG4OZtH/DgK9C+Np7nj7oTOuZguHGB/2kDyReeOrr4JVi3CfZU+L9l7y47S+NuEs/1uq612KBuGpz9ios1fMPXLV7Ss66w9WJtZm2VnA/VW587/NzS2tTa4tk8bFkANLXC9Qe6yO32uROaE7QoFgHj8vbF57SBFKpe6kh32eKSp8HCbW63dwRy0O3vxpBuf/6mDaSv6qaOsjO6XZLGwwI3uC9y91JxzoVkjfjVOSB+8G5QHkQVFf/h13DrB+NusmvVvXglcaU9nQPiAy+DBfT9gA4/CM600PbLrIx8zSqN+BWpDU9rFoW5XWMaGqH+cdh0fHZGvmZVFsciiNSepzWLvsZcCSvfqgWSsiAp9SoRv2QkWOhuMzval8HnX1VBWaS6vE1DFcreyNfs2vNO2PEcfHgbvG2UCsoi1eFtgTtfEnvISP+FTNO9NhiIOfpweMexcMJSa0//muv9FPFJJoIFqPuiLyIC/z64dAi8G90IiNRGZoKF+CG6a+w1wOV5X6urrEg1ZaTALf6I6qzwZp+v1XlBpJoyUuCunqwta5k8UZ0VBvX5Wp0XRKpJaagIYUEh+IkK5S6pZiHihoJFiNwFqe8CSi9tg60nayoJt0I6K/T0hlLnBZFaURoqVFNbECi+AVxJzx1sHZwzS4P73IuYpvs+B7sikhkqcIcaPSZoUfQGCnoeJw7SVBIikkUKFqF2PROknvq2Is4FPv2appKQfMlaP0OkNlSzCBF82Cc/ChvqiusT0zbA0G7lxwU0O4Bkh4JFBGPqp8GpP4Ab6nQRkDA9hfYtMGM8DAHOIVhrXZ0exD8qcEewds99xtQfDbM1RYgUyWtRjM/dTFwOLCIIGOr0IH5RsNiPiF43kjK1GUjZ1JZLPUHweCXBtCOfQ50exDcKFuK1iJpCFVZJjJp2ZB/q9CA+Um8o8VxYC6AaqyRGrci3ZafqWuIjBQvxXK1WSWxfFrQgirpRz1CgEB8pDSWeq80qidbu6TSmfhZ0qAOEZIK6zorXfB0HodmPJW4KFuI931ZJdB0AFaiyScFCJGWiVwus/UBA14FK3FGBWyR1alW0L0etepdJ0ilYiKROVLfdOAYCugxU4pKChUjqRHbbrelAQGMYAgcfomn6s0k1C5EUqnXRvriI/fGb4fyV8MQL8KXxcF2DahbZomAhIgXCi9jL/wwfvhhO/grUj/Opd5mUR8FCRAq47G0lyaWahXgnWLlu0npjpu825ozdxkxer9XrKqEithRTsBCvBEFh5laY3gLfGwm3j4QtLXD6VgWM/etdHhb2vQeWA115P1URO+uUhhKvBBe7mQtgKUqjlC+iTgFcBIxARWzRRILimdFjggaz0iiVCRtstwI47Vn442YVsUVpKPHMrmfgTTQWoFJRdYqDn7D2gYUKFKJgIZ5pXwbtXUEKJX/Q2nldWr1uf6JGhY85whgmQq6mYcy8LcGjakBZopqFeCe4iDWuguHNcCDw3DbYvlh3x9HCaxYX7IQLbofJZ8MTj8G/ToRrD9dgvGxSsBCpkrRP3R01KtwYhkLL/XDUpCAZMQg4h6DwrU4DWaECt0gVREzdPcWY+tA77yQGlp7nD7nw14+EMybmeph1A5cDi1CngexQsBCpiqipu3euBBbk/2algcW9pjb42tDC13YlcBXqNJAdChYiFQprFcAp48J7E8042ximAZ257SMnhweWjjZC7+xdG98Y/tq2v6ZOA9mhYCFC+Wmh8FbBJafB4KHBv/sOBNxyM/zzMqAht41oSMM4EGMwwLkwYVL4a/vNnclsCUktKFhI5lWWFgpLN33pIJhzB7S+s3i50Ue/YC2dwM7c8z3YCN0hE/W5TekUBswX/wCr6+C9o+Dg06F1TfFr277Y5f5KvBQsRCLrDW/dYAz3AqOA0cHjzIbwVsGhB8DGWUEqqdTU3e3LoHVK8cXXXUonPGBe/BI8MNnaXzxpTH2Zr018pWAhEjl6eehw4CngXmA3sAvuXQHd88NaBdG9iQoF3VGTdvENC5hfHg6zLwMWlvvaxF8KFiJ/Gb3cNwD87D5ruTb/N435+VJofd9AWwXJu/hqWnLZPwULERbfCcvnw4rBpQJAMlsF1RAVMNU1VgIawS2ZZgwjgYfh5iWw+lS/AkD5Ior8ms5D/kLBQjLLGAYB3wd+bi1fcL0/rkVN9+F6vyQZFCwkc3IXxWMmQ91w2NBs7ZM7XO+XSJKpZiGZEp5u2fXD5E61IZIMWs9CMiZqTEVTm8u9Ekk6BQvJmLFHqIuoSOUULCQzjOEAGDdRS66KVE7BQjLBGAYDN8MnHgy6hOYvuep2qo0k0hKq0pd6Q4n3emZPvR44Ajgd6seoi2i0IDDM3ApN44L7yTcJ1jX/0Ul6n7JLwUK8VDiD6ojD4LP74F0nWste1/uWdMZMWg/TW2AFuR5jy4G7N1j78Fy3eyeuKFiId8K7x16wE9bP0J1xacZM3w3fG1k89cdpz1p79yhX+yVuqWYhHgrrHvsf49U9tlx1hPcYO9DBvkhSKFiIhzSD6sA8uy28x9hz21zsjSSDgoV4qHcG1XzqHlu+7YvhvK7CHmPndWllvGxTzUK8oxlUB06TCkpfChbiJV3sRKpLwUJEREpSzUJEREpSsBARkZIULEREpCQFCxERKUnBQkRESlKwEBGRkhQsRESkJAULEREpScFCRERKUrAQEZGSFCxERKQkBQsRESlJwUJEREpSsBARkZIULEREpCQFCxERKUnBQkRESlKwEBGRkhQsRESkJAULEREpScFCRERKUrAQEZGSFCxERKQkBQsRESlJwUJEREpSsBARkZIULEREpCQFCxERKUnBQkRESvp/pAmlkPYhfeUAAAAASUVORK5CYII=\n", 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\n", 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\n", 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\n", 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\n", + "image/png": 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8ZUslxxkKF6mnOBaG4l5HvTkXoCDh0YdAJ2ZaxlvLuV83A50LOsK1LP5cj/uZeWq5mpXDqZ9ketmm3wF+3e9g+GIYtQmGLoffrA7GtKOt8UJfW6e+hsImanjh3nmHM6dXptdW98N30KyH63EY9eZcgPwHiJ4O+j7o1q5liWMDbYu36bGTa1kKv5ZwFhDKZcWT4qXco74CSeVs9sNprE+Ajg5wrG0Ln/zPyzSb+6oo/WRgdGjudRxaZBIJ1kaETsBtwEGqlFjm1OKgyiIRfgc8JsJ+qnzjWqZ88GoWjGsOIyvhlrJwFRDKPoS0bmEwLzS0bqLJ64Hb8UqJpz9WLojQB9gHOKWQ4zRM2Tbe4Z8ekF/tinSJGqt3BlhdCj+I3D6LxD6AKcBvVVngWp6Y8zDwAXCTYznyIpHK/n7o8A38vbO3X2HAbO/zmRDUH0+3byGbzKrpFM0PeRwrNSI0AcbiPWsB7lXoOAZu3Sb/vVIVo2D458npxa8BTq/199Iq9BUEkVpZJB7+8cCrqjzqWp64o4qKcA4sqhAZ2cmL3gm6vKWvXIlXqrSX6ofrCF15zIpRMOyAOtXgslzxpJtN/1DrzwWvns4DPgeeKeAYWVDYJj0vvfjciXBpP1i+FjZ0grHNoDXhWUVGn0gpC2AYsCfQ1bUgpUNZMzjhB/hLn0LKWxYbEU4Gzga6qbLOtTypKKyGQipFM3QJLHwbFmyTbz2GmjKku7SG3faDsiNVL9M8Li8H/Kgz0q0TdLtKlae8azjL6lL4jHgOovAjQmfgBbyH/yPX8pQKnm18xuD6D3LfiapzQzZT9xDhYGAS0DvOpsqaF3vLVtB8P1gyHzb/Nt/VX5q614uCNtl55z36JRjfOlnxTTsom/OK0BhYA+ymyhdByVnqhHplUfMwtNoF2u0N3X+neqQpiqLiqhRpfojQEU9RnBhnRQE1Tm/vOTlhDkzqVtjqz+/qjLmwAbgZz436Q+LvWfNLYIUpimAJrbJIM8u5RGTQ3/ya5dQooxY7RcwWX0S++9pNKdLcEaEl8DxwsSqzXctTPDqOgbt3Kvwl72pi0HEMTGhdZ4y1hr7Zyt8TeCUY2YxqQhwNlW6W40822RplNGNwTcbMY2a6yeYZTkTYFe7qDBevDHsh+0SU3PPAA6o85lqe4pLuJd8ix5d8IdFZhVCwkjoQeNVfmYy6hFhZBD3LCVYZRZXq9M4iJ74KV86Hz8bB5K7hCzutIRHiOQV4Hc+WkeI71dc1cJb3GadJQbqXfLtfibBf9sepGOVNBGpPDM6vgu+bBttv+SupRISkrSyKQGjNUP5ESDREtGzxmfDDpJbG9Hcq8EiIndkCPAB8D1ygSr2IDe+6+rwEHVt786MOQPMeImVZOVDDT7oQ3FPuA54VYSpwlbf5Lf0YqR+dtWwddDkMZh0bbCRcISHEtAe+UWWpf/IYKXG9hTz9Fv5U+XBGbIKH+vtz/PAml/Onr3LPCxTFPgG9GvTNhtK+wF5TvVQYdVNj7DXVtfz+joH6OZq8VBo6DhathqGrchkjxRwPnvy/eRV+uzqXdB+gQwrJK2Uth3vkWoCGB0LdB+CJ00FXg+7vz7HP+2/Y0lbndy3+PNQwcHYYE+6lHxdnL4Qr18G5+6b+nm4B2gYOWZO6fw5fB9oTdPP6x84tR1GQGV/96bOjp+c6RoqdgBH0F6Af5PibR0DPdt2/pdBCbIaqnw8HQITVwDQRjlLlX4UcW+SDT+CUNcBm0d68U7hJzcuh1HLXsEc+pTaVXTxN5NUHoefWwM7ALonP7YDlsEOz1P3TTIA7gfYi/BP+OQ+OOxXu2TkXs0sa811e5prgIvSa/CT3MRK0Kbgu7b+FQW1FFr4En3+W5bUfCNwYjDxGEq61VT4N9Ci8Aj0pZ5RZHmNL0CrQrVxfT4F9sTmcNT/3WWPtmXD3ifDOU7DwFThlUZhXW+lXUef+B/QS0BPwCji1BG3s/abL1NS/6TI10YfbgR4H532YzwotvUxHT081vmr6/pi50PUT+PWc9Jlk3VWQK2bRqNxLADcrh75PwVXfhXElF8fmXIC8BUePTiiMznn+/kDQN1xfR4F90B10ASyYCactzu1Bq/tgDt8APfbwoz5BsNecu2nEu6aT6vTPSYvr141Id+yBs/OTaeQ60K9BPwKdCnodPH8+nL4kWZZL1CvQM6jS+6x9DD9rU5+9MtcXf7HGQ3plNmwh6EWg/UH38RR7OCsfxr05F6Ag4dFjPIUx7sg0M7XyBn57Bej/ub6GPK97G9D7QZeDHg8qNQ/1sA+9GXI4HJf+X3t+smfz0kt/7CvWVfdzrjKBNgHdM7HiuQ4uXtpwoZ5rc1KEufXdvEfgjLfCOBFIr3DP/Qj0HtBnQeeD/hdGb4zq+I1ycy5AwRfAs+fUr8FdPVNraHatz4EOcC1/bteqAjoArwzlH0C3TfGdjqAfN3CMJnDGO7nOzsPSgpxVpj/244NA3wadA3pAITJlLtRzVYqX4FHP+zR+3sGH4JBg7msuhaCOfzmq4zfKzbkABV9AxpKKqQabNgJdC9rctfzZX6e2An0arzpgz/Tfa1YOV22AQXOrZ48JJXNAYoa2Ci77IsozsyBNIw2EoDbGq874Gegk0F1T/+7qHzwfULpJSqbxekhlstIZusoLe9U/wpDO+Udq9ZrklV/t8ViYVhTJMmarcKO7Mo5ycy5AwReQcaZWf7aBF6KXdvYdppZ4SV2AV+L0GtAt0n831QN37lr4aDHoB6CjQduZzbeg+9E00Y9rQG8B3abO/68F3S63e5S0Eu5RV1mB/hTefLD+Cjpbn0M07nW2k4AoXVOcmnMBCr6A/FYWQ0Efdi17skz14/RBO4G+Bvoq6J7598XR06ljbw+7IzvsDbQF6IOgK0HP98x7zcq9fR81q7qG73W/OZ6PrW8WPrZ8fTXxnIXb+HXQ564FKPgCGpypjdgIL1xU/zfh2siTfkWwaE1CsTXK7jjF3URlTQH9FegM+OhjGLI8qNluvvfWxoQ1v1qIEwlmh7dp55lDvAR3x8yFvp/Cu3PhrInQ6gg4dKQIg+r8rDswx4G4aUiV1PC2bWHobFXGqyYVVm4AV1lDSxdV3gF+DVcshbtaBJeYMt97a2PC8AnX2irohhcdtAL0xMTfWyTszVnN1osjoz+zP7PlRv8e+n1vU//unC9tTFjLtYU63YcfqFIhwqHA30We3w4m/AZaKsx9RCQs6T38SatQWE1nozCCTY2RfG97D4Q3X4DXRmS6t/XHxIZKGHcgPPATP+QySofI1OAuFJF7DodPp8H1jYtZXzizXGXlsOedUH4EtN8chgDbh0I2I3uKWb9ahApgkCrv5fn78+GDM+Gs/0DzFlYl0siG2K8sanh8MMxo7Ka+cGpSv2DO+RoWvAiLMs4ajfBQ5FVdJVCW/8+3nw6Db4MX9wm2ToURJ0pIWYSx2FEqx/YftoS+VfbQRo9UWZIDohJolv/P218PN24ZpomTEX5KSFkUO91yNoRRgRkRYB05rCxEaA7sA3T2PnsfYePOyJUSUhYFlW70Ha9+RPOdwqfAjDDjmS5P3Rs2dhR5r19tU1eixGwLflQKP35uBcxLtMkwrzFU9bNxZ+RCyTi4oXZhGbeRQiI0AybB+2Vwc0sYt2uYnO5GOElT+GklDJkC+7fFUw6bAW8l2rzE52LVmtrkxXTGG/GhpJRFGBBhZ+A54A3gfChrGQYFFheCqzTnHpFuE2DG4PorghEVMH40nmJYVlsxpD9WOCZORnQoITOUG5JfXhu/gTv3hrZ3AHd4D3XRnKKxx8/ypuEknY/ryy9UmZrLkYrojDdigimLAElvNpj8hGplyS3p/Jr1i9AYaA60Sm5nHA83lsc3yieMQRpGqWDKIlBShcbetSMsiMnLK3uynfWLsDmek7ZVA605sAb4LLl9vSHeUT7hCtIwSgtTFgEhwk9gr/3j/fLKhVSK84G20OxFEd6nRhH8DFhJsiJYBryW+PPnwApVvqt7BpGKTlDVIa4zb0vnYrjElIXPiNAIGATcAFs0jqPZIFtzkgg7APsC+0G3w1Irzh8A/kKNYlityvf5SRb/mbf5GgxXmLLwERH6ALcB3wGnwEPL4MsUIYrRfXmlNyedOAAmN8dTDgkFQTPgTa99vhCqetZXnO/+O1fnbDqSZ94tdoI9D4C2Z9jM2zAKx0JnfUCEXwK3ALsBlwNPVocvxi1EMX345i0b4brX+FE58G9gUXI/FDe2X2T+JLirLaxbF7cwWsMoNrayKAARWgHXA4cDY4DxdW3p8TMbpAvfXPBPVQ5O96ti29s95XRiL7hvx6DDaOO8t6Mh/LjuUu27SOK6oEYUG+g2oDcliiiNAS0L/pz1a3S7ufZo1HQulpylWnDKj+su1b6LanMuQNhb8ku6x2Pw8rWgq0AfAm1ZPBnC8VCFSZaG5SxO7emwK8+gJhl+XHfY+85acjMzVAOktrNfsQHeHqB60YvFkyRd2GnxN5tFJ3zzp9tmikTLxwQiQlOgHZ5/ajfY/+CwhkcXuqM9Xf94CQvb7V74dVvW5ShhyqJBUr2kb9oK+p4CxVQW4Xqowu6HEeFsuHI7OH8x3FeeKhKtoRcpVK4G2vKjQvixtcPbB/IJ8JHX1iyFqhbhDI9ON8moGi/ChcAq4CvV+rmkUvfP+d1F5k6GbsdAq5aFh4XbjvQoYcqiQcLyktZN9lClJ3kGvPlmMKY9tO0BT22CD+utgLyZ8b63pn6Rtl4ANAI+xVMIH+NFdz2e+Ptnqt7mEO/cT5eDhjQ8Ot343a0LXjLL5sDmIqyCpLYSBhwK99Xpn/vKYeRA6HY63Ps5LCvwuuO/LyZOmLJoEPczHxFOgtv3gYuWw9071TxUFyyxhyrdDPjCZfDVllDZGHgSKE+0sSLVf+6+ZeoX6aL5wIGa5cbAGrPcltNg86Ywb254zHLpxu+rz6l6K0MRtsJTGrXbjrBNi9T9s3yZKnOgEu+6P70Bep8Ic56CN3+Xy3VHx6RpAObgbqi5dOaCCujloEtBO9U4KvvPgrPmQ8WLrvsnDC29k/Tq70DfBX0G9G7QEaD9QfcC/anfzlXQSaCDXfdHskz5j99c+gf0b6ADXF+vtWCbcwHC3mpe0pevh2NeKJKi2Az0ftB3UkVcgf4E9CPQI1z3j+uWb9ST3xMB0Hmg+7nuj9TXefqbcOHSXKKhcukf0MtA73V9rdaCbWaGykC1M1eE64CtVFkc5PlE2BqYBDQBeqpSWV8mvhFhOHCPCLNU+SZImcJNfqZCP00giXKmu+H5NEJFwkczHthPlbNz+13W/TMbL7+XEWMs3UeWiNx3BHw+GT74d1A7TUXYEc/x+C5wjiobM3x/KvCWKmP8lCNKhKFEaOK+vafKz4txvlzx/F4cpcpJwRx/pzYw5H348N+wdLH5HeKJrSwaoCbKZoc2UNURxm4Ne/YOInWECHsA04GHgetVM5fGBEYAb4kwIegVT1gJiZO0PfBhEc+XK1XA1kEcOKGs/w4jN4em3aGqe7yqExo/4toOFtaW2mZ7icJi33eagvZM7Ao/LY/fjgKd6rq/SrmBngX6sGs5GpCvD+g/gjm27cIuldbIoZ4KOak2NP0eb+Jf/ffC91uIcCJeeOfJqnnZfW8HOolweKGyGHlTsiuL8OxFMoLGlEVa0j0E1fuxCttvIYKIcBney/4QVWbkcxz1nNvD8fYQbJGvPEZBhNK5XYu6EQA+Uh1gUPd0tmE0bpiySEu6h6BR4nNkJVz8gghNcj2yCI2Be4FTgK6qvFuIpKpMBxYAlxZyHCNvwq4s1hPYyqJilBdQUP2s2C7suGLRUGlIHWUzZB2seQ9kNYx+H7r3AdoAzwBPALM0RW3o5OPSFC91xJbAcap85Y+8lANvAfuossSPYxoN442RTmPg4EHwyhR4+/IwOnUT5W0XaEDRWl4/nPESbFgPC+ZbNFQ8MWXRANlUuROhNTAAOA7YA5iGpzhmqPJtct6ir9bCuHbQfj4wNJNiyV1ergb2VmWAn8c16hMIDEHWAAAJoUlEQVSGkN1sEem5BxxcARWvBBj2/TrwW1Xm+nlcI0S49rDHqYG2BL0Q9GXQ/8I7U2HIiuSIqmFrgtoFntjZ/THoYa77Iu4tKlFAxUpZA7octJXr67UWXDOfhY+o8rkq96jSC+gAd7SEu3ZMjqi6/WfeSiOQ838DXAQf3y/S8zGRgbNEuk3wZsGGv0QlCihdmnL/xmAisGJ7YIVfxzTCh23KCwhVVoisX1/8F0rZAjj95/DCoKBrT5c2VZWuMxKnQ4SfAnt5bf8+RRiDLYHlmmWmXiOa2MoiUFyEFXYcAzc1DXImWeqIsDPctw/89ougooBEysq9VWH61WEi/HoXEfqJMFqEqSJ8CiwDbgB2gzVLijAGdwGW+ng8I4TYyiJQXBR3iYp5JFrUBCrs0hp2/SUceQ88/iC853uakdTO83MPELnzPBixA7A3P64c+A6Yn2iPAyOBRdWz/KCLM3my9rsBdmgr8voEi4SKMa6dJnFvyXUosk8Rnf/5ouF4jVIrdl2T9Pfwiq9AJyfqnBwGumP28vs/Bl3We7FW/OZcAGs+31CalcPwDfYA+9mnxVXA+dboiHu/WHPbzAwVOyobwydfw2FPw893tFKVflBs0577cr7Z0b6DmTxLB1MW8eN0aPOo6qsXuxYkPhT75V0xCs7rBuN2LZ6vK3tEaARcCa32iIZSM/zAoqFiRCLn1GnAn13LEi+Km//IWwUedAlctwYGzIa+E8OyM1yE7fHqrhwKVb0tL1TpYOk+YkBNpM4eHeHnO8P9ncPwYokT2aR+8fd8nAn0UuW0oM6RKyJ0wyv5+xgwSpVNxe4Xwx1mhoo4qcMsl8+0TXj+Ul2LvYin3BN4v4jnSyI5p9mK5XDrYuhxNnCWKs9Vf89BvxiOsJVFxBHpNgFmDK5vN+47UXWuPcQRRYTngfGqPFP8c6eagFz1LWzVR/XGOcWWxwgH5rOIPLYJL6bsCSx0c+pU+aRu2AJeOteNPEYYMGUReaxSWV28VBn7TxXpt1Kk90qRvadGKZmiCFsBLYBP3UhgExCjPqYsIo9VKquNpxSOfglmHQvPNofnmkPvY6HPSxFSGLsDH6myqZgnrc5HBWs72ATEqIs5uCOOauVikbJDYJFFpACeCWV862QTyvXAza1h1Rii4YztQJGd28l+ii+Bq/H6LXz7PAw3mLKIARaRUptWO6c2oTQiQmYUB5FQtf0UTYGLgJuB+atgzczSnoAYYGYoI0aI0Bba/iq1CeUHYO1qB2LlgwPndl0/RWu8lUWThapzTzZFYZiyMGKBCAcCc+CwO2DokmQfztXA0nXwh7YiNHMnZdYU3QxlgRJGJkxZGJFHhLOAKcApqr2uh2kHwcFPw9Gr4KhVMPtpeP5XsPvbwHQRtnYrcWo8B3PPx2B0e+h5RXEd8qkCJa7+Hi6ZWTwZjDBjm/KMyJLIhXUL0A84WpUPMny/ETAeaA8cocr64KXMjtQb4YYtKmZOqPqpO86ZCqfdA9wJZVOSd3SbD6PUMGVhRBIRyvByFG0FHKfK2ix/1wh4EGgDHKlaz/bihLDuxPdKyH44He5pDTc3c6XIDPeYGcqIHCKUA3OAz4FDs1UUAKr8AAzB2/D2XGIDnFNE6AAH9A3jRjhVlsHZFTWKolouq+teapiyMCKFCN2B14A/AsNU2ZjrMWopjKXANFcKQ4SOIkwGZsNXIXYwb988jIrMKC6mLIzIIMKpwFTgDFXGqpK3DVWV74Ez8VYnz4p03V2k2wSRgbO8T3+cy9W7omsfV4ROIkwBZgJvAW1hSv+gduKnkiG3I1iklIHV4LYW/gbaCPQm0EWgHXw+dmN4Zypc6Hvdcq8e+skfJx/3gvWwaDXopaBN63+/6wToP8v7LLxuemoZcrs2P45hLfrNHNxGqEmEuT4K/AwYqMqX/p+jx0R48aT6zuVBf4Nnr8PLdNCkzmcW/zZkENy9V/3jHjFJ9eVBfl9HKvxynHurkc63Qo8BMHsyvHuVObdLC0v3YYSK5KI76/4H9+0Ou70OnKjKd8GctXmL1Db5Dj2Au4BNibYxzWeaf9ty29TH3a55MNeRCn8yyCYUwwki/Ae4RZXF/shnRAVTFkZoSL3X4JI18Nj1qpUBKQqoscnXnX2/8qxq/jm3RN5qAVWt6x+3mLb+dNeWtwyvA/sD7xYqmREtzMFthIhURXfu2C74EM2g0ryHIX18KhlGrCxAhjeAA/yRzYgStrIwQoSbojtBpXkPQ/r4+jJs+gbu6gLj862V8TpwgZ8yGtHAlIURInw3mWRNUGnew5A+vq4MIlwNPCzCr9Xbc5IL7wGtRdhGla98FNMIOWaGMkJEGMw2JcFNeBr5wlx/qF71vnnAfn4LZYQbC501QkX9ZHaWsC4IRGiHZ1LqpcqCHH97K1CpiqX7KCFMWRhGiSLC2cB5wP65hCWLTDsHZl8NSz60DLSlgykLwyhRRBDgaWChKldk95uychgwG+4rtwy0pYUpC8MoYUTYAXgHOEGVVxv+blk5dJwFM3YNWyp1I3jMwW0YJYwqq4GhwCOJGiEpqdkwefCuloG2NDFlYRgljirTgBnA3em/Vb1hsgmWgbY0MWVhGAbAb4GeIgxI/d/VGyZPB67BwptLD9uUZxgGqqwX4RRgqgivqbIi+RvVGyZb423PuB0vZ+KsT6HCnNslgDm4DcP4ERGuA/bFq0+uNf+eKsmjRUGVEqYsDMP4ERGaAHOBP6syLvn/ysrhN8/C5s1g3hzbX1FamLIwDCMJEXYH5gDdVfmgzv9NAqapMtGJcIYzzMFtGEYSCQUxGpiQWGnUpj3wYfGlMlxjKwvDMOqR2N09Hfi3KqNr/ds6oJUq/3Mpn1F8bGVhGEY9Es7tM4GhIj8WO2oBVJmiKE1MWRiGkZJE+Ox5wKMibI2ZoEoaM0MZhtEgIvwZ5m8B/9cGttsF3phlkVClhykLwzAaROTojtDubRizme2xKF3MDGUYRgbWXF6jKMD7fKCtly/KKBVMWRiGkYHqvFC1sUyzpYYpC8MwMlCdF6o2lmm21DBlYRhGBipGeT4KyzRbypiD2zCMjCSq5I3xTE8rre52CWLKwjAMw8iImaEMwzCMjJiyMAzDMDJiysIwDMPIiCkLwzAMIyOmLAzDMIyMmLIwDMMwMmLKwjAMw8iIKQvDMAwjI6YsDMMwjIyYsjAMwzAyYsrCMAzDyIgpC8MwDCMjpiwMwzCMjJiyMAzDMDJiysIwDMPIiCkLwzAMIyOmLAzDMIyMmLIwDMMwMmLKwjAMw8iIKQvDMAwjI/8PdkOJHOOACYAAAAAASUVORK5CYII=\n", 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\n", + "image/png": 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\n", 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fNiJA4pVern0QjKyRDfuvigJzRVb9lEo0iSp/ijAUeEaESRpItEvhTnDRZvh2psjib9NVEytxLa6WIyJl5iFyflffL8IIoADY2hsFCV7Lv1cPOpPtkT0ibAfsD8xI7Ztlf1M1sPLyVSMrlIXLei7Ik4Yz84phULty/SlKgJVQr230spm+/6n3HFBlpghvAcW4pD3fiCRZXVMX6rWHDe3T0fujsp4jsPZ3oDW0bh/7+t6vC7AzLqBgXYzX/yvzf4xlem4LK6+GWl1hw85ZfpPsAcxQ5bfUvlb2N3UWrkzazUT/vvLUaZ0KYU9tkpx6HgJXrcmFaXRy+1vRr5FtfSvcfky5Ci7+PVXTCmhDz9m9p7/yhHMM42+3eCPoStA34fwv/JYtsWM3eDOmH36YyDouWQ5nzK76Oo6ZCNdsgAMmQJsJ5rRO8RiGLUByJ1qvdY3YL/gl+mIfsiZfTnS2OShxmeA/wV3dqhJNAnoJ6GQ/nd3x/UHB2qvjb7ffrOioMX/Pb0UltVihWOG4Fem4SfqxT34eF9A6nr9qiyD3O1dHVpihgB5w0ELYZjUc8xpsvxOsWQmjOsCDrSD49qVhk00Nd7w8kLFAseplU+CyKVVYzQPAAKA3MN4fycJqhxpvu0sXq7qExmDOb/kk0GY480vv+empLhzPD1PnFRFeB2qXGVuV+98bQ4vg2kJ/fHWFO8OFf8Kit9Ppr8oVMlpZOFvvgbdB505Ae2jaV3XGK5HP6QDfviwyaCYU1M/Ernl+kkzWdYbwD2ARrkxIlVBlk+fsflqE11UrZDNWgYsmwfB+cPMW6bVXx/NDRW/X//MbT0mtXe3fNioiQi2gG7TrGtsPs+XWwErgN2/8XubvcmPJI3746iJ+o2H10umvyinCntpUZ/rplhm0MltMM/kwQI8CXQq6vU/rGwt6iw/r2R70O3ju9DCSrMrY3VfAae+kY7uxf0ODV0PJj6A9q+JPiPcd0BqgnUEfxvU6fxfO/LC6fhi//EzZ6PPLtBG6ANU5uXYBZNbAZWEvAz3cx3U29pzAu6f+3bI3touXwJzHMuAY3QJ6Xfq2FytYQjvAN0sq+gArf9CKrXzO/g4+fNQpYp2Lq0RQFH/5cHwWYfmrcmmELkB1Tq5dAJkzvCfLSX7MAmKs+wrQ11Jxdse+yZxeEvasE3Qg6JPhn6/DxqX6oBX/4ezcz4lTpsWPchn+rMMeLKs7MthnkYwzMiyHpRGDC4HtgBsCWPe/gHOAE4GXkvtKLOfqw7vCwrCTGBeFvH2P7XdKPW8pXtXklT+pMj/WN/zww/jjy0nOb2TEJ4OVRTIn1y6AMIlkJbfYA4paQc0eqjds8ns7qvzhObsfF2GyJlWiPt6NLfQkxsVA85BloGoPWtn7cBaJNqv5HGzTCD58K5eDYQIh7KlNdaefkWWu3QRHPB+2mSFfRhh5H6DPgd6U3LKZaXYArQX6B2itbDt/2ZbrE+f4nwP6RNhyZOPwEoKyHxG+APqpMi9sWfIBkQ6jXU/i8k+Z3ccEFcMvQlPgU6CNKiWVLxuzxEZJaUfAIORLBifXhfNg0WcQbqx/dL2qvQ6BpqeoDno1ue803QX2bAsfHqj62hfpkTgxldXgcp8dNxoa7AbvT7GZRYqEra18fGKYCtotbDnyZYSXDa1Xg76a3LL77wHXb86UkvaZ/GQOOgz00RS/MxH0jLBlT+b4ZvKxz5aRwT6LlPkBaBC2EPlDaPbru4GzRThOlUqfguHTTcB3qnQJWKYkiZfRnBGVg58E5otwmSbf2nY0Lsv+38GJlQqlx3clrjPqX0BRC2hxD9TZkMHHPivItraqMXHTy8EHwJDrY7UhNYJgXrEfLScTtZAtjyp/4CKv/iVC7QSrbwJ8n4o8wRLP6d64SRjSlEWV5cB04NQUvvYKcIgIYQcNeDRs5BTF/cDlwI24wsWtjoWDjs3QgIesIetnFhHb9F2ltundLI0/eCLRJQVvuCe4zz5M1QZcWenuytajymQRPgWuBG6qZBMZpizizcb2OEiEE4CJqoTpRHwEuNV7TYgqG0WYAPwNN+MLmS23gFE4JREVMl0LTvgjWyO5Moaw7WDVt1NmZtRLvgzQO0GvrNp3Oz5T1XMHuouX2d28kmWuAL0r7GMUkSee3Xzcabge5q+CtgjxXNbA9VE/OPnvjD0FrlwVtl8ItItru3zSb7F9ad3fMZ9F9UbWzywyOJ4+X9gICc1BUYjQEBgEh/Wp6rlTZakI9wD3AD3jLNYElwSXEcSvLPufxSI8D1wCzBbhAeB2VyW1su56fsvHXyI8BpwHzEm0vDczvBlGbgf1jkh2Zug3IhwEjINd+8KSi2FDz4oziPWL4P3TsqFqc8YStraq/hOFzSzCPf46DPQfSS7bBnQ06BrQh+DoV6pz7kC3Av0G9Og4n48H7Rv2MUrxeDYFfR4WLoWBy9LfrGjoITD8d+g7I9FMIRN+e6C7gy4H7eX+t6inwI512AJUewfs4gj5+OsloPdW8vmWoKeAvge6CPQy0G39OnegR3sKY6sYn80GbRf2Marace0zJd034lTPR9i12UAbedfUwIr7kf7Kwrk+st4MFT21b9IU9moPv/ay6WXwODNEz7/Bdk1EPtghOgGKnXDmjMHAV8DtOAfu5tLvR5+79j1gxdcwsX8q506V17yEzMuBW8p93JSMcnCngtZIv3k11dDe9IZPRyfcrV4Jj+4Huz+qyqiyy2VR35fsImxt5fcAfQH03LDlyPXhnt56LnZtOq9T99pzMTx4DOhTnqnpMdBWSZ63i1JNCivz3eagq0CbRWQ7dAwM/8u9Zt+TZRgmnlRnCtBwV7hoYzpm9bFnPUN+zsZzm60jdAF83yH0RNC3w5Yj14dren+JRv94L1EY+isuyzql5kegB4AuiP955Y16QK93PorcMEvGV8ZB1t5KTUGBXgxfzoYOgZt8MsE/ku8jdAF83yFnI1+J14DFRlDH+fAVsX+8h6+o4nmr6c1Gdq74WTJdE7UO6Ldh2PqDOb4FRXDq4uh9PjVgZRGvs1757pTtR8Mp70Lxb3DLEek5Hta7JuyR9T6L8qgrZ/0czmY5Imx5cpcCYtvUt67S2lTZLMIsoBPwQvSniW3p6hLELoY9xmV7KLUIAof+Cx5tFr3PjzaD7oGVp6gY2rtuDRR3g5J7RPpsA9//Al1bw+hmZZIoHwsiVDbaP/HTD1DUxJLqwiXnlIXjyTfhm6dEvuqSjvj0/OSH92LHs//4XjVW+jZwGBWURXK5NKpMFNmydrbdVESoCbQCOuOUZWc4cJswlF5Z57C7YY/7CF7sGVEOw3ElNeoRVH2l2Jn9F2yAQd/DyCbWuyYkwp7a+D1yxWad6SMIMwloW9C5Fd+PZ68+YEK0H2PGDbBY4TLN5PPvmUrbg14F+l/P/LbACwg4HbRZJtjo48twg6+moIr+qDYTKj/fFhIbxghdAN93KAN+ZPky/I5nxzUGWgu6XfT7zVrAJZuiFcDAP+HsH6Lf+/vvMLwjvP8vuGixP32fkytjUdnyoPVAu4LeADoNdD3oJ6D/Au1TVT9N8Oc3np/gOt9+W7H3829/mn8i80boAvi+Q3Ev8BPeSW091N8XngXqh71P+TRAJ4OeUO69PrBgTrRiOvrteA8FoHVxyVpV6m+SenJarOUHLoMPR+KSETeAvgN6G+gxoEldU2Enl8V/8Cr2TYHF3kax2gNf5o3QBfB9h+Je4N3WJntRQ92j2lD3t29B21D3N6h7VNj7lS8DtJhyxf9A3wLtF/1e5dExoD1BvwTd0r9rqHgj6DLQJaALvfV/7grpxVp+4FzQI0Drhn1cq3YuYinBUxc7c5Bfs8lY53Gxwmm/ZrIpMR9HDjq45xXDwBNgVEHEEXY9cF8BDEjoiBOpd9Qh1J70OqtlW+B1ft3qSLabJFLvGNUNr6dhB/Kdt3GdawAQYT9gd+DF6MUSZg+/DJwPXAzcmZoI8RzqX8/BleOuhQsOqeXG8seh3nYVl1+1SpXpqW07c4hf+NDPYJFY53EH4Is3oPsGK/qXQYStrYIY0OMd54S7Tt3r4qRsnkD9NtT9bXW5R53V/5thmEkq+HOntT2bfoH3/2OgxRWXSyr3Yndczk3jFK+fOA7WeMlp5ier+vmOdR7P/s5mEZk3QhcgkJ2i77Sq/Hj3hWe/jW3b0G9B94Vnw963fBigM0CPBN0OFym0U+zlEtv0QW8BHZvCtgXmz4BBK6vnszCzSfLHvOx5PGsOfJ5Uj3Ub6R3iTlbuIEJX+PZZuGUj3FcuJvvlSpOHRKR+G+queJ1ft9q2zPtrgB7UZw5fTYed7gEmaZmCeIa/iHAzruXvz0ArVc6oxrrqAfOBszQJk5AIZwJ/hz1Ogh1uSNYMEkkiM7NJdRBha1wPkg6qfBO2PEaEnFIWInTC2bb7QOHSqvx4S30Wb3g+C6cotmcOf78fiufg+j9vBzwEPKHKmgB3KS8RefY0+OheqLU1fD4d3hpSnRuvCH1w7VcPUGVTJcs1AD4DjlTlk6puz6geItwE7KzK+WHLYpQh7KlNdUZ0bPsJr7m2ilULl4xeb/loqGMHgC4FvdCZKbQd6BjPRPIIaMuwj0WuDHdOTy/x06TjnbPJoJcmWO550FvDPgb5PkB39FyFDcOWxUaZ8xK2AFUWPKadeMAyv+zElMuzAC3ywiWviSyjDXDVTpeBTgftBbpF2Mcmm0dQzmLQPT1nd8wbEGhv0K9Aa4d9DGwooPeD3ha2HDYiI2vNUCIdRsObp1UMney+COZ1CcJeLEIj4E3gFWCYKuq9vyXQB2eiaowzUY1SZZXfMuQ6In2mwfgjKn7Se7rqi12qt25uAxqrcnq597cFvgBOVmVWdbZh+IMIRcBHwK6q/BKyOAbOiZilxIuF79IcTpziHI7+osoyXKG7HsB9Iu74qfKHKmNV6QD0BvYGForwuAgH+C1HblMad18W3woBjgAO93xbZfknMN4UReagymJgEq7TopEBZLGyiHdTqYWrVtkykPLkqqwEugCtgcdFohMbVflIlbOAPYASYKIIM0U4WYRaQciUW8wrdpFrpefWv+qiqqwHLgMeLD1vInTHnc9h1V1/VRApLBLpMFqkzzT36v9DThZzB3CxCLXDFsQg13wWlyWdgFf97Ws9z2n6XGUlJUC3AO3r5Q58jytnETNvwEbZcxtMTSTP2T0V18Z1a1wNqSPD20/Lz0hwvl4FPT9sOWxksc8C/hfbPs2ZnmoBZwHN8HwXY1TfDbRpu/fEMw638b6qbEyw/P7AUKAvMBG4X5UPg5TRqIgI+wAzgKnAb+pmgiHIEdfvFvi1my14JsMngT3VcptCJYvNUK52DczrAktK4HIiiuKyVeloiqLKb8BJuOSxSSIUJFh+rirnArsB84DnRXhfhNM8J7mRBlSZD3wN9AMuDU+SeH63vVuVN2/mMbPgq5/hlLfMVBcuWa0soFRhvNwNuo+B3tPhpIlwSg046PZ0XFzqkrzOwN183vQiaxJ9Z5UqdwAtgNuAc4AlItwoQsOgZDUc3oywmffvXuFJEs/vtn0jYJEI14nQOATBMojCZnBXYxjV0UXJvXlaUAEsRgLCtoP5PZwd+IJf0m0H9mzh/wSdC+cfnErjHO/7+4I+7CX6jQXtACphH89cHKAjQF8EPRXXhKhmOHK8cSn8fVOsaxX0gDLXw4ugPUBrpNqUKRMHaE3QOqDbgO4E2gS0Beje3n63Ae0E2hX6TrUijZkxstpnEYsw7cAiCMy+B8YNgRG1UqlLVWYd9YGzgQuAX4D7gXHqTF5GNfFCmScD+wMrgOnA86o8mGY5OgMvwD9PhfFnxStL45k2TwUGw8Jt4Z/14K7tK7u23HXIlt7YKsGrX8uksmxN4Hdv/FHJ6x9wxf5wZ7ny7+BH3o2RGjmoLIJL6kpu+/4oKy+H42hcol9rYBTwsCrf+ypwHuH5AWYDD6jypPdeS5zC2EeVn9Ikx+7ATKC/KlOS/I7AiZPgmaMqXlv/2AgjNhK5GdcCNhF10014Yw6sCk8gAAASpUlEQVR62bLf+VOVpG48FgSQOeSgEy1hU5yAKe+0XAI8BTQ4xl34yRU0VOUv4L/Af0XYEzfT+EyEqbjZxsxkf3DG/7gUWI07IQCoMk+E0Tjf0YAgNhqpSNuwEaxZCY8eArsNT1ZReHKqyBZbxXaIL/wY6EmZG3LuXBvzimFQO5c7VXY2FXwAi1GOsO1gfo84DeDXQkHH9Gy/bG2jxV7uhz/+E9BC0KGgC5xvRAeSpS07039d6B5ebajmMT7bxqvv1c7/7ca6Hgevqco1kK9NlsLuRW7DOw9hCxDITlHQEbqvg2vVdcqbn7Zkp+ibww0aUFG8Gp7DcyLoT6B3gAa+b9k6vOP1NuhFlSxzOuhHfju7/bzBWxKfjTBHDpqhAFoOgglbR0/ZR7ZwvYQr78FdXcr1LT4G6pULpa2Hc2ZWZxv8hXPSThahBTAE+EiEmTgT1TTVXDFD+ML5OJNrZU7s0cB5wLnASP82HS+XIvVrID09sQ0jNjmqLPz7gVYF78fbX6TjGNhwapD+E1VKgMtEuA6nCP8FiAgPAP9RVw8pbxFhF1zjo85aSQawKirCUFyuzAvqaoD5gL8+tNJrywfBDCMlsj4pLzaBVi5NgbvXwDW/BlEUrzyqbFDlEaAVLoKqBy7R7x4RdvN7e5lM2eJ8cOl78N5TqnyZ6HuqzMWVb7nVP2nmFcPQJem4BgwjSHIudBZKo09OnBIdQTF0KYw/LF1TdhGOAEbDOcfDgkvDMBuI0AxnojoH+ABnoprsmbFyktjnfnAJvJRKnsuXwAnqU90ukQ/uhye7wg8rzHRkZCs5qSygbLhig0ZQfxvoqzBigTNRLQ/0ByvC9sCnwABVJgexjRTlqYNL7LoQqIOz3T+lytpQBQsAP+LyRTgLp2TbVVexerkdS4Fu6mpSGUZWkqM+i2jbrkhRCyj8At48qEysdjuRwqSeNlPBy559DHg2ExQFgLpquI+L8ATQEac0bhDhGVyC2oJQBfQVX/xV/8Y5uwfgzmV1OAZYZIrCyHZy1GdRnkY3wi1lEprqEWCDpHOBIuDaANZdLbwIuJmqnAzsh6uWO0OEN0Q4ToSaIYvoA9X3V3mziQuAESLEKDWREgNx2feGkdXkibJIT3SUCHsDtwCnqPK7n+v2G1W+V6UYV311DHA98LUIl3p2+yxlXrEfQQWqfAK8gDufVcKrGNsReK6q6zCMTCFPlEXw0VEibAWMBa5R5Su/1hs0qvymyr+BNsBpwEG48tgjvbpJWcbaPeCiH+Gosa5kffcxyRZxjEEx0EuEA6sozFnAc6oVLj7DyDpy1sFdltgRMsP/hJPuhfZX+REdJMLdwC7ASdmeEOf11DgPl8y2ABdFNVGVP0MVzCO61tLyZTBvpEvEbNgYdj8ADr1a9fhH/NkWA3CmpENTuU68QpALgZNVmeOHLIYRJnmhLKB8dNSKZdD2frjnXlyZ6jOrExkkwlHAo8ABqqz2SeTQ8br39cE5xBsDDwGjVFkVnkyxFP+gTTCsFuxNqiXhE2+PGsB7wEj1KtUm+b2uwF3Agdn+8GAYkEfKIhae6ehe4AigVzKJWzHWsTPwCc5PMcNnETMGEQ7GKY0TgBdx/cM/Tb8c8UJj78K5XUr/96+EtbfvrwJ7q7Imye+Mw1UGTmufDMMIijzxWcRGld9VGQzcAbwtQu9Uvu+FyT4JPJHLigJAlTmqnAnsCXwLvCrCTBFOEqFW+iSJF6zwV7n//Qte8MxIL+PKhiREhB2Ao4Bn/JLBMMImr5VFKao8gYuHv0eEWysLIY0uJXHWB/BVA+DGtAkbMqr8qMotQHPgPtxsY5EI14qwU/ASxAtWqFHuf99LuwwD+nmd9hLRH3gl2VmIYWQDeW2GKo8IO+JqA22G06+EksvLZny7pSqUEVkC4w/P5/INIuyPUxp9gFdwJqpAnLqxfRZD/oKrawThs4jeNucDpwOd4vkhvNnmPGCwKm/7uX3DCBNTFuVw5RnmPAhjzoERW0RuSAPXwdx34cMjrcVjbLwyJwNwpTKW46KoXlDlD3+3UzZYYeUPcO2+MKEm/PhDkLWXvBnnbOA+L9w41jLtgaeBPc2xbeQSpixiEN+J2mszPFbT5bGVxZrHl8W7qR6Pm23sjYsUe0SV5QFtb3vgXdxNPFCHsghtgZeAvVT5JcbnjwNfqXJHkHIYRroxn0VM4jlR29SsWLkhjNLnmY0qm1V5SZWuQHdgZ2C+CM+I0N4z1fi5vVU4h/K1Ipzo57pjbGs2rjd6BT+VCIVAb9zMwjByClMWMYnnRK0FfLnRehMkjypfeBFnzYEPcR3pPhThTBFq+7idRbiw3lHe03+QXAOcKkIriAQ9wPkfwN/XQmGdgLdvGGnHzFAxcDbxYz+DUQURn8X1OHP8WS9BzQ3W1rJqeEluR+NMVK1xU7WHVfnep/Uf662zkyoL/VhnnO0MAf4GhWfESBIMxMFuGGFiyiIOIoUdoe0kaFvgZhQnA7faTcBHRNgTGIqrSTUVF4o7q7qOYRHOA64AOqjyU7UFjb2NmvD1XBiyE7y8owU9GLmOKYtKqFgixGYRQeDZ+s/EKY6NuCiqZ7w+HFVd5y1AV6CLKr/6ImjU+guL4KSZ0LAJxKp0b0EPRm5hysLIGDwTVXeciaot8ATwkCpLqrAuwTmaC6HRpVB0k59dEiMRc3cBl2MzCyPXMQe3kTGo8pcqb6hyHNAOZ//7WIQJInRJJYrKM2UNhC93gF4fuxv7+CPc64lT3MygOpRGzJ2F82dZ0IOR29jMwshoRNgaVz7jQkCBB4D/JNsjQuTwZ+G/J/v95B+di7MEeArYBExbBPO6mLnSyDVsZmFkNKqsV2Uk0BK4CDgSWCrC3SK0SLyG7XcMpkvivGI3g9iAS9K8HFhSYorCyFW2CFsAw0gGz6w0DZgmQhEwGHhfhNk4h/ibsZsTlebMlJ9ZVC+RUnXtYpHCblBiARBGXmBmKCNrEaEucArORFUHZ6J6umwjK+eb6Pce3Nsgl/IgYnQLNEVlBIopCyPr8RzfHXFKoxswBnigtBe6yLu3w7+PC7rQYLqI0y0wbQrQFFV+YsrCyClEaAIMAs4FPsWZqE4GZqjyeJiy+UX8QpfF38M9bwHrvLE2xt/l31ufSm/1sBWVER7mszByCq9sSLEII4B+wA3AQUBdEcar8nOY8vlDvEKXa9cAbwIFQKH32qDM36WvZf/eWoTfia1YYvx9Yr+Ioijd7sgWzneD5ZXkMKYsjJxEld+Ap0X4N67naiGuo984nInqi1AFrBa/rovttP/ys3h9NuLhmfDqEV+ZlP27OezQLJjoMiPTMWVh5Do7AatU6SFCQ+B8YIoI83EmqomqbA5VwhQQoTE8cCBc+iPcvVO0KSj1REAvymy9NyrtN+J6ra87DDY09Du6zMh8zGdh5DQidAb+ocqhZd7bEuiLc4g3BB4CHvf6YmQsImwHvA38BwqfDbJuWUUn9uljYfAtMH813NEcHiwyn0V+YcrCyGm8CrRtVRkQ5/ODcUrjBGA8rn/43DSKmBRemPAUXEfAK4Js2RrbiT18Mxx1BfS4FwqbWYHN/MOUhZHTiHA3sFyVOxMstxMugmow8C3ORPWSKpuCl7JynPmHl4GfgLNjJx/6ub140VZWHDGfsXIfRs7hOte1nSBywgo4fggc0ztR4UBVflTlFlxHv/txs41vRbhWhB3TIHZMvEq8TwCbgYFBKwpHvGgrc2LnM6YsjJzCKYXj34JpPeGVnWHcVrBXO+j6VjKVZlXZpMrzqnQGjscpj69FeNozWaUNL1Lpn54M/YKe5UTaw27aB4ZDVGV4c2LnO2aGMnKK+CaU24CpVTKjiLA9rqfuEFzE0P3AC6r84YfMlWz3Glw5k8NUWRPstmL6KYCLgR0wJ7ZhMwsjx4hnQqlBVc0oqqxS5Q6gBXA7TnEsFuF6ERpUS9w4iDAQ50M5KmhF4Wg5omKy3c3AWT9A9zGmKAxTFkaOUVpltiwbcHl51a00y2ZVXlKlK66jXwNgvghjRGiXSnOmyhChF3ATcKQqaTL9xFOy285Xfbe/KQrDlIWRY8wrhvOWRHeuGw7MW+Jn9zpVvlBlMLArMAdXvPADEc4QYauqrleEw4FHgONU+cYXYZMinpJt1FSEvZxszqch0meae61ut0EjmzCfhZFzuJtY1+egditY8Qv8/B6UXBLk07EXtXQ0LoqqNfAYMNKrVZXsOloDb+Cc2dMDETTutmP5LIYsgiGvQNtTYP7n8M+94L7GloyXn5iyMHISEY4Hzvf6eadpm6VZz813g23qwxUNoPlknEN8VmWJdCLsDswAhqryYppELidDqfzRyXYi1IGe70Cr1s4YUQPXe3wHLPcif7DaUEau8itQN10bi/9kPuAL6DwK2CjC/cAzqmyMLqexdg2MPARaXB+WogDX/Y+YlWMLd4YT9oKriezb9bhJlOVe5AumLIxcJa3KInY00UPN4cg9YNbeOIf4hcBtIh++AL2PhgebRW6+l6+CMW8SafKXQbQcAY/Uid63G3HhyJZ7kS+YsjBylY24Vqu+E6tTHBwdp3R3l1NwXfwWe+MNmHgOPLhl9M33ru1hbob2hGjeIva+fbnRz6ABI7MxZWHkKinNLJJtFRrb3HTlcbBVndg9JqaNhZuKgSJvNIN1q6FeufyMekDjJinsX+B4ocADYNfWsfftuzfMuZ1HqKoNGzk3QJuA/l9yyxYUQf+FsF5B1b32XwgFRRWXbT86spyWWb79pOqvo/g30LtBW4RzzAqKnGy9p8ERz8O810E/hX92T3bfbOTusJmFkav8StJmqFj+hpEtYKuXRJiJS75r6F67FsUpslcbXu7m2osmKt09rxgGtavYx7rZWbh6VO+L8D4uimqKpqF4YOwZ0xU/w7ttVT/9WqQwyX0zchVTFkauspGkzVDxspfr1Ae+AWYCK4DlMPNm2NAvVqe4+NFE0bhw1Lg331ki3IirCXUHUFuEB4CnVVmX3P5UhVgK88760P06oH+y+2bkLqYsjFzlN2BLEWpqwrappdnL5RXAR7NUua/skiIfXw2DDq44K0jN0VvZzVeVX4HHRXgC5xy/ELhRhDG4/uFfp7Kt5LCy5EblWLkPIydRRXGzi9qJl77kDRj+Z3SJkNgKwN3kX+7miuv1nh5kkT3PVDxTlZOB/XFxtTNFeF2EY72scZ+IV+7DQmMNh2VwGzmLCCuBvVX5qZJldgY+gbGXwf3HZrpNXoTaQD/cbKM+8CDwpCo/V2+9sXwWVs7DiGDKwshZRFgKdFKN6uJT9vMawH+Bj1W5Nq3CVRMvrLUdTmkcDYzD9Q+fX/V1loYPH9QJNq6B53qaojBKMWVh5CwiLAB6qrIg+v3Sm+L+baGgPrzUXvXrheFIWX1EaAic7435uCiqiYl9NXHX1xc4XZUT/ZPSyHZMWRg5iwifAANU+TjyXu6aW0TYEuiLm200BB4CRqmyOsX17AJ8ADT0fD+GYQ5uI6eJkcUdL6ei5Yg0y+Y7qvyhyjOqtMcpjX2BEhEeE2G/FFb1nfeaURnlRriYsjBymRiJeU2a5kOIqCpzVDkT2BNXk2qSCDNE6CtSeci8N5v4AGgTvKRGtmDKwshlohLzXCRRs73yKURUlR9VuQVoDjwAXAQsEmGYCDtW8lVTFkYUpiyMXOZ/ZijvaXosnPG+81EkzqnIJVTZpMrzqnTGlRTZFfhahKdEOKjiN55fApefaS1UjVLMwW3kLF4G9CzgSVyb06bA8VDYKFZHuDBlDQMRtgcGAEOAZbgoqvHu+HR7G/Zt6p4n/8L1MJ96eD4eJ8NhysLISdyTcP833I1ON8Glm2DPTqqsD1u2TEOEmrjZxkXAXtDvZ2i8N9xMJGJsODD9JdVPeoUoqhEipiyMnCN+i9MJXezJuHJEaAnHzobn6laslXXcD6rTG8T7rpHbmM/CyEHitTjN/vDYoFFlHtRcFztibOswRDIyBFMWRg5iFVSrxw/vxY4Y+/G9MKQxMgNTFkYOYhVUq8eXl8B5S6Ijxs5b4t438hXzWRg5Ry6X9EgXkfpZ+R0xZkQwZWHkJHazMwx/MWVhGIZhJMR8FoZhGEZCTFkYhmEYCTFlYRiGYSTElIVhGIaREFMWhmEYRkJMWRiGYRgJMWVhGIZhJMSUhWEYhpEQUxaGYRhGQkxZGIZhGAkxZWEYhmEkxJSFYRiGkRBTFoZhGEZCTFkYhmEYCTFlYRiGYSTElIVhGIaREFMWhmEYRkJMWRiGYRgJMWVhGIZhJMSUhWEYhpEQUxaGYRhGQkxZGIZhGAkxZWEYhmEkxJSFYRiGkRBTFoZhGEZCTFkYhmEYCTFlYRiGYSTElIVhGIaREFMWhmEYRkL+H+iFmllhq20FAAAAAElFTkSuQmCC\n", + "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1299,14 +1282,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "improve_greedy: 100 cities ⇒ tour length 12464 (in 0.025 sec)\n" + "improve_greedy: 110 cities ⇒ tour length 14999 (in 0.030 sec)\n" ] }, { "data": { - "image/png": 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\n", 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1314,7 +1297,7 @@ } ], "source": [ - "visualize_improve_greedy_tsp(sample(USA, 100), {40, 20, 10, 5});" + "visualize_improve_greedy_tsp(sample(USA, 110), {40, 20, 10, 5});" ] }, { @@ -1335,14 +1318,14 @@ }, { "cell_type": "code", - "execution_count": 41, + "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1367,14 +1350,14 @@ }, { "cell_type": "code", - "execution_count": 42, + "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1395,14 +1378,14 @@ }, { "cell_type": "code", - "execution_count": 43, + "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1422,7 +1405,7 @@ }, { "cell_type": "code", - "execution_count": 44, + "execution_count": 43, "metadata": {}, "outputs": [], "source": [ @@ -1448,19 +1431,19 @@ }, { "cell_type": "code", - "execution_count": 45, + "execution_count": 44, "metadata": {}, "outputs": [], "source": [ "def split_cities(cities):\n", " \"Split cities vertically if map is wider; horizontally if map is taller.\"\n", - " width = extent(cities, key=X)\n", - " height = extent(cities, key=Y)\n", + " width = extent(list(map(X, cities)))\n", + " height = extent(list(map(Y, cities)))\n", " cities = sorted(cities, key=(X if (width > height) else Y))\n", - " mid = len(cities) // 2\n", - " return frozenset(cities[:mid]), frozenset(cities[mid:])\n", + " middle = len(cities) // 2\n", + " return cities[:middle], cities[middle:]\n", "\n", - "def extent(items, key): return max(map(key, items)) - min(map(key, items))" + "def extent(numbers): return max(numbers) - min(numbers)" ] }, { @@ -1476,7 +1459,7 @@ }, { "cell_type": "code", - "execution_count": 46, + "execution_count": 45, "metadata": {}, "outputs": [], "source": [ @@ -1503,7 +1486,7 @@ }, { "cell_type": "code", - "execution_count": 47, + "execution_count": 46, "metadata": {}, "outputs": [], "source": [ @@ -1519,7 +1502,7 @@ }, { "cell_type": "code", - "execution_count": 48, + "execution_count": 47, "metadata": {}, "outputs": [ { @@ -1533,7 +1516,7 @@ "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1546,21 +1529,21 @@ }, { "cell_type": "code", - "execution_count": 49, + "execution_count": 48, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "improve_divide: 100 cities ⇒ tour length 12994 (in 0.207 sec)\n" + "improve_divide: 110 cities ⇒ tour length 14749 (in 0.247 sec)\n" ] }, { "data": { - "image/png": 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JvW+xrT9h7uobSlnTLB7LRYGfppGHsWuDvg16YpbO0ZWgH8BZ+8bhXIQ/B+fuB8M2lL6nhiksDv49ZDUsXB1cx/VL/224ZXnj3LwLULmTXnzihq+CftPjdOJANwH9BB4fmOriA60HJ7+Zyq9R/sHbvDXo30AXgU4B3cvj8UkQeHC1O05dBHNvg5O/iPrmP9xGrkWgW3uUoT0sXAndH83Gwxxmj4Vzf4v6ucjO3KbyFV5R4t89HvMtZ9SbdwEyP+Hx3nUMOgL0yfTfS1XD+dC55Y//3F/ho3mgB/o+vjLHKqB7wKnvRz2aBJcgbhnojn7lqF8EQ1Zl6/ouxDowwfndDAa+l/yeurzgndaVaTFKJNhudKJUJbjP8W1cIjEivetYhO2Ac4G90387VQ3nTfaG8TVKH//oOtDzY9XZr4QscrVQRYF3Rb77NmpJDkvnxNINMHYvaN1LlU9yN26yXFztRsP1jbJ3fRdOHZggnXhv4HCgKzRal/yeqlHi34XptK4MMVIW8bzYA6flzcA/VVmS/i/mj4DBHUvXcB68EFgJ9fYr/d2oH38qxefnxkxeH/ucZTD5OxfolctxB3d0WVPX/Aq0h/adsnF9J5TUJrtE6VyESXCP7YxTDkcE/56KS7J4EtzREL4uM/8jcQFjBe60rgQxUhbRevBUgsNxETZ9M/ly8tTL80e4G37tfvE6/qvfh8t+gzF1Sis+XzdmstXpv1rAB1lenaZaFRd9iJuUt+H3X8K+vksrqZW4B+TV5PJchJHdOFkfsOZL4AASCqIO8BQwCpippVK2r1ld+p7asCk02wGGvZ9JLjUjwLcdLHPbY/0iOPOHOPksnMNal4B2C+f44+Ozwe0E/xbG9ohKNElqf1B27dWpxz12VumosXDPb3k/xWKFEQq9V+TiXIRxTMn7OHMNLFwF+iboKBcckPlOe9BbsRr1lW4xWlms2Rc+WwWHPgdNtorJG8EIXO2CGdXtKNWKI4rHH9RZmASMUD1/Opw/3bdMDl+r01TjLl2sikK2zm9Z020r3Mqi7we5yS6cakVV9ykRngc2TdE2Sfz7rCK4rEHpPq6tD0c+ofq/jFbrxSRWKF2Pgrf/JzLrkSjeP1El0soicXJbbQfb7wXbHqv60lPJvxOtIj4i7AycCuwWVp/BcUXamR9wDbAIuMO3IKUZOgVGHgtX18qtWSyVH6r0uOGf31RKas2q8MYoT5C8ryd07J7cD1Nnc5xd7Jeg/Vri32XaktuT++o236JyMpXzGx0Gg3cRadAjCs+LWOB7aVO55WfpJWxUTTNB6OgM0KG+59HDsR8CuhS0iW9ZysjVBPQLmPxXH2axxB6ZYSug/6u5GDf5/TFkFSz8xoUMV37DZKq/wSUw/BMuieG3oHPgxHnVDdcNK+S3UEOHQ72efAtQ+ZN7+gLQ6107fUEULwDQE3A7cmv5nsccH3fTYM9CF9+yOHlKPtjOWQJv3OlfJh0Dennu5yChHEH3h8+WVtYHmFz5DPwC5t2By1D8HugloNul/n4YPovKvxD68lflU4uwGSpVqGyNOlCc66jGJlELpxWhITAW6KuuxkBBECThuwe4R5WZnsVJEa46pJvIk0WezQ6LcFE8OSGFaWuxyCmz4dljy/sT1twWJKGsjTNTl/jsfW55H8RNLWFYJ9inlyoLyo5dXT9MeL6c2EZTRoYIK4tUJ/ed11W5HkDknT1gbZuIXQBXA8+q8ppHGXxwNtAYuMKzHAHJnKu3tYbPfG/iXOR5/IAmWyV/0Wq7P3AtsB7YUPqz+Y7J/2blt2UVRTFh+GHC8eVk5jcyUhNhZZHJyY3WBSBCe+BYYBcf4+eaRHBBmx2haDeoebDqFTnJ1pqeyG7iXAxs51kGUr+MvfK0avIHs8icibA2Se326L+dJ1YoNSbDFi1g3syoBMPEBt92sPT2ynQFeoq/c9l66PqIL+d24OB7DfQU3/OWu3MTveCChHzRdGjiMsz+Blo7bucv6uc8w/kfCHq3bzni2IINQfFHhAXAsarM9zT+qbgayJ01y0VzooDI/hNdTeKyb5k9H8hNDH/FpEixsRD+6zVU0sl19nxY9B4s/tzn221iZZi5L6Aqf5NLKgqld7/rPRGabQ+vTY+a7JHHt7YK8Y1hBmgPT2P/H1Uo3xjnFofoEthjRxj1e1TqN+TDm3mUW0Xza3Nf/RZhn0WlWQE08zT2P4AHVXnH0/geiEN0yTvrgS9U6eZbEkd8MyfHg+L5XYkLSNwIFLWBNjdC3bU299UjL5SFW1723xNkX5F3Dsnl8lKE/XH1qXfOxXjRIZzggizvwG9JpGq1p3K6b93ShzT5R/MWTlHcDFxJ4rpc8hdouDaiAQ+xIfbKImGbHlv80Nq+OP1zthWGCLWA24DzVbOY4zqCJKJL6k91b3Dvzavsg76i1N0hnbuIKYtUq7Ed9xbhcOBpVfLDieiFOrVgAglFQfB5W204/Lfor4Qjjm87WPXtlP6iXkDPBZ1emYyX+daC3fQXVu1vOz+YzXMHOhx0rO85SsiTym7+UH9cDfNnQNv4lrPyx+S/rjdoN1eW9uhfkvvSer5qPovqtdivLHzF04vQApdV9gDVgn4b/BmXITRjRGgODIY/9cvyuWuJ2wQXCVLvRr5/sQiPAMOA10X4N3AtNGgaxSSZxeRgZZihHOwNPAStj4Il58DaPuVXED8tgtf6xyFrc2Txra2q/0bhZ2UBOgl0jO/j991ALwW9JsPvdgCdCLoa9Db481PJz13nB0OS7XHQo3zPUSVl3gb0EZe7adCyXL8JV2alEIW9LKA7gC4HPTIhv60gsjLXvgWo9gF4uDhAe4AuAt3M9/H7bqDDQMdV8Ps6oMeDzgnm7HzQRqnP3Vk/wodzQBuGINtc0I6+56hqsvebnusHcfLzceIiuPMI0KOCc30j6GNubi/71Wf4NGiL4JoaVP44olFwK59a7M1QpZf2LbeBtp1g3ZHZWl4GhX1uAYaqsi4bY8QFZ4bocxw0bikyd8vSG6DYCjgNGAJ8jMs39LQqvxf/fXKzzOLL4ebzgZkiHKLK19UQMWIO7sqgNXJhXhWhHtAaaANHjYSby4SX3lIEV90NvAwsDdoc9/n6cFjbN1dO49KRc6tWwh27ww53qDKh5PdiVPclVsReWUDpi0OER4GOwPtZGu4C4GNVns5S/7HA3bjdZ0KrVlAD6N4fmnYWufUMOOMYXF3kR4E/q/Jeqn6S3dginAVcDswS4WDVyvkdnGy7j4FuzWDGtSLvXRY/23R4+1hEaIyrA98G2L7MZyOcX2chbP5/yRXUp++qcmT5fhcMh0sPhb9vmu3cbMn9Ixf+APdPorACEb2RN+k+ihHhCFwo60FZ6Hs74A1gn8o+wPINkfZPQNc+Lslu8c07Elj/M9x8FTBBlZXVG4MzgUuAP0ODHzNx9kY1zUdlSSjjdoEy3gjMXwIvdCl7HCII0JzUCqEW8BmwMMnnVxqkp6lsChcRhsJH/eGUT6FpVp3GUU8vUxD4toOF3QIb+UrQoiz0/RTopb6PMQoNuqxIblPvsiLkOT8eFn4LA7/MxC8VBadrOMddvwhOWFz6mP/6JTw8AHQw6FjQJ0DfB10bpJuZDXo/6CjQAaAdcaloMgrtzrw6ZaeJcPxsGPELjOmam/mIfnqZfG95YYYqiSq/iTAZZ9oYHVa/waapHYGjw+oz3tQnucli81BHUWWSyEWD4N5umaVqSBVKvcseImyuyk+hCpg12o2GO1qV2Vy2NYwaC8c8jVsZvIZbHSzUEDaFpgjtHQ/tRov0awFf/gDd28PEViVWbXdmI1S2tH/i26+hqKVtqvNL3ikLxz3T4NN7RT7uFkZ8euAEvAk4RZVfQxMz1nw9J3k8+zdzwh9ro2Tu7E1l62/YBPhKhBnAYzhn+w/hyxoWqZTe5x+ocmq2Ri3t/0tm0huJS6lRj2zlV0o+7plrYfCXML5lFGrXFCS+lzZht2yE0oL+HXSS72OLUktuJjlhcTbCFFOblvZ8ouyegIozj2pj0BMDc+Ia0Cm4+gZNko/LFrvCw8AWuZ9f/+a01DJcEaopqPzejg5PVHy+LSTWR/MuQOgHFPJNBto28IG08H1sUWu5imdPrgAGbYCTv06djjpd0SxtEOz/eBT0B1zaliGgzdzvNzukA5v98jloBzb7BTY7JLO5CCftRRQ2l8Hf3kzuJ7g8NAWW/DiP22D+ieg17wKEfkB/OMIWB29AlwefPV+tfF8qoC+AnuP7uAq9lVcAh7wU1ksB6GagfUEfAF0ND7+/D411VdDxKtB9abwxlcLI1oPd1+Yy0FqgV8Bl65LP8YgQV+3JXu5GqO9VlbUk58q3AKEfEJ0mwgcK52uZt5U1mV7UiZt00Hy4aBW0ilVyt0Jo2YqOgUO32pfN168q0/Eq0H3YQuG75aBLQD8D/dBFI134Xb483ECLQF8FnQZDO5RXgicsduagcBRY8vO4WKH/Op+rKmvlWx46uOePgKGHw5P1S0eSTKgPPdM64pI7176amuvkaEZqRKgNTf4vG9ExuzLl5oehVqMyP28ETOZ7DqXVvI/4cSguOKS2a8smQL3Gpf8ifrUSRDgOF8hxHXCD6r82Jk98GOZ9kCwgYUtgwVToudaS/kUI39oqGw2OmF3Vt84oOBatVXR+dAfQubBghstbFLbphy06sNkvyVYWzndR3tkd92sGtD7of0A/Bt0rt2MnM+Gd/IWtIqLXavhSUtml9i/ubaUkmb51+kl5blSMCCLCQGA2cB/s0h0e7wo9H4C+L7rP6u/SVtXv50KfXjTW1cHPVgO9aKxzoY+qfl/+r+aPcGGcxddcfMI6RegAvA38Buylylu5HN+dr//2SJzHs96E8961VUQE8a2twm6g3V0RlIFfVOWtM+5vifnYcCGvj4K+B9ouN2NWNRqq30wY+SsM2tv3vKWZ05q49PJfg/bzLU8JuTYH/RZ0B9+yWCvd8io3lAgHAo8D/aDBUrcDtHI2zxQbkTbAoZeq9rg+u0dgQNndu/wO1+0KbR4CLlXll9zJIVvsCrcvgNM16Yoi1d/xIPCyKuOzKF6VEWEb4P7gv39V5Quf8pRFhCuBZqqc7lsWI0GslUXph8qGX+HGfaH1capMD6ffYkVz+N1w8T3A9ar8OxThjaQkV9bnLIPJB8TFNCHCkcBZqnT3LUtZRDgKuBUYB1yrJVLGRwURtgQ+AXZVZblveQxHbJVFiofKcpi8f3ayXlIETAfuUuWasPs3HPmQXVSEusByYEdVvvEtD/yRsmYc0BXor8rrnkWqEBFuAtapcrFvWQxHjB3c7UYnFMUSYCzQrDm0m+EUSbioshg4EBggwjVBWmgjdOIfYKDKz8AUoK9vWQBE2At4Cxfq2z7qiiLgBuBUERr6FsRwxFhZFD9UlgA342oSjQambQdHTM+SwlgO/Ak4GLhJJM7zF1WK4+5LEsvsoo8Ax/gUQIQaIlwAPA+MUuUkVX70KVOmBC9nU3CVFo0IEOOHXfFD5V7gSsqnr24XWnrykqgr6NMNaA/cJULNbIxTuCQLQx25AQ661adUVeB5YC8Rmlb0JZEGRSL7TxTpN8N9hvOSI0ILYCrQB+igykNh9JtjrgPOEWFT34IYsVYWxQ+V9eTabKEutXUvYGtgkgh1sjVWoVE+7r7nA3DkP+AfE4LyoLEgE1NUwu82rT881tV9Vn9VHNReeQuYBXQJ3tJjhyrvA28CJ/qWxYixgxv+iFqa4UxPuXeIirAJLoV1beCo4AFhZAER/gl0AHrmMny2OgRRUWer0i3578N15ouwGc55dyjOif1qVeSOEiJ0xpkPdopi5FYhEeOVRfFb6Pxu5c0W53+Xi92z6gohHQ18D0wRoX62xyxghgNfARNjZPpLY4pK5czfeTeRyuVtE2F3YB4ujdWe+aAoAFSZBR9/D8fPDNtUZ1SOWCsLSGa2OPppOL4G7H1tLi4uVdYDf8PFhU8ToWwOOiMEVNmIM0c0AW6MQzRaelNUKmd+kxbAIhEuF2HrisYI0qDY1Jw6AAAQk0lEQVQMBV4ArgVOUCXjDYRRx927Y1vAhM5hmuqMKuB7C3nYzaVdOPOHXKc3DmpfjAV9F07fJ8xCONZKzfMWLi24DvctS4by9gFNmsASpp4H565PUdVvT9DbXH0NfRz0YNAapYssdX/UJVTU10HzMo2+pd+JTvMuQOgH5PHicgpjzo1w7m+Wiz+r89wyqCnR37csGchaF/R70KZlfn6Qy8s0tkdFBY6CjLCng74Dny6BwStLX1tDVsEO2/s+zuzNX3bqllirwrnwLUDoB+T54rI3oVydZ901SILX3bcsGcj6IOiQEv/fAXQFaI9K9CFw+HOFdm3Z/RSdFnufRXl8b+pKuQP5UHPOhYcqC3Cb3iaJsIdveSrmqZlwwSjnQ+s2GT6bCozUSuQwU0Wh1iZx391eef7+MVz2WxzTv+cbeVopb3BHuLQNTMbtw3j9R5ifowygySp/rQX2aAT394fBHa3qXjio8pIIZwHPinCAKkt8y1QW93LQ5yK4rSnUa+quheHfw8RpsKaSvaW6tmK3uz0jXK2NLkPh1V7Qc5BVzfOM76VNNhrU7wzH/+jDb5C88tf56uoKqy2hszLneg6uHnZj37KUly08M0ryays//WGgTUAXg/b1LYs11/JwZQHQbjDcuXn5FCAL09bgri6qaxaXqFt8qFtRnA20KiFLPpsNco8q/xKhJfCUCD01Upsjw0uMWObaytu37CDn2n3AY6o87lsew5GnysJv5tLg5h0g0vkBuOCEQjEbeOYiYCJu094xGpndvuGajoqvrRAEizKXAA3B0pNHiTx0cIN/J3cxN6yGS9aZcy77qNu0dzLQCN66OxvJ+apGfOtz+0CE7sBZwLHqNrwaESHWuaFSkbww0llL4bE/5WrJLkJXYCIMPAw+Oi+fzQZRQqTPblD0Boypkzj3gxfCf70FFZSvvGjXQDKC3erzcKVeX/Atj1GavFQWUPYG3aIhHKUw+iNnolqe1RtWhCbAO8ApqvwvG2MYycmHSnuFiAi1gReB51QZ41seozx56rMobdsVKWoDDRbAtL1LvG1mJYQ1yFl0J/CwKQofxL/SXoFyDS6W2EoWR5Q89VmUpcWVMGaTHBVIOhUoAi7LQt9GBbgomkaNo+GvMjJFhL7AUTjz00bf8hjJKRBlkZu3TRF2BsYAx6tLX27kiMD09wxc8BucudgcyvFAhO2B8cDRqnznWx4jNXlrhipN9ne+BoWQJgGXqPJxWP0a6RGhI64I1WRoeyk8vjV8Yg7liCNCXeBR4ApV5vmWx6iYvHVwlyR5dNTIDXD0OOh0URhLXxFuALbFvSHl/6R6JBG80LwF1K8PJ7eBW9+DDRuzHbxghIcIdwF1cVX97J6JOAWxski+83W/m6HTOOAxEU5UrXSinj8Q4RCczXVPu+izS3nF/yFwzQa4+0/ZDl4wwkOEgUAnoIPdM/GgIFYWqQhMR+OArsCRqnxYhT6aAm/j/BQvhSyiUYbyobFXAhdgobLxQYQ9gWnAQVW55ww/FIiDOzmq/KrKEOA64OUgKiNjgjDZe4C7TVHkirLBChuxUNn4IEJDnJ9iqCmKeFEQZqh0qHK3CO8Dj4qwD67WQNLcQuXt5ZfUhJ2uzKnABU3ZYIUaFFLa7jhT4uXqeVUm+ZbHqBwFbYYqiwj/BzwE/A5/vRAWXlByx7f7Vrk0IkvgsS5mH88NyX0Wf18P42snzsmQhfCk+SwihgjnA8cCB1poefwwZVEGEWrBG7fAAwPhtFqlCyh9PwdmHmz2cb8kybU03qWlb9YCWu8Cvf+t2iUbGy6NKiJCZ5z5aT+NYJEqIz1mhiqDKhtEhtaDu2rBXTgHaj1gbX04qYfZx/2TIk33LAARdgemiXCrKqtyLZtRniAI5CHgZFMU8aWgHdypad7CrSiKFQXBZ9salkoi2qjyHvAYMMq3LAaIUBN4ELhHled8y2NUHVMWSVm+zJmeyq4iBgGn/2ypJCLP5cDxIuySi8FEGhRFp35G5LgSUOAKz3IY1cR8FklwN/t+78GT9cv7Jzo/CXXXWiqJaCPCUKA30Cubm76SZwfwWz8jKojwF1zep71V+ca3PEb1MGWRApEGneEvU2BCfXsIxI+gPsK7wMWqPJWdMRoUQbsZMG278i8Vh0xSfeWEbIwbB0RoBcwF+qryqm95jOpjDu4UqK6ZJdJgd+hpCeliiCrrRTgXuFWEqWGHaiZWFK22Sx700OVolzKdJ4Ep1UknEzeCzAiPAteaosgfbGVh5DUi/Bde/QCGbxNmlcRE2pGxJE83csRjMP15oA9wEPAqTnE8pcry6owddUS4BWgGHGV5n/IHW1kYec7VN8DqF2BazXATDRanHTkJF3j1R4g1zlw59wJVFgMTRKgPHIJTHP8Q4UOc4nhSlU+qLkP0EOEE4GBgH1MU+YWtLIy8Jls1uUv3uwS4FxdBN2MRzO+WShGJUAfoglMcfYDVBIoDeCPOD9gg+uwloIcq7/qWxwgXC5018pxsVUmcP8KtINYCrXCmqG++rkhRAKjymyr/U+UMoCUwEHcf3g98IcItIvQIHPSxQYTNcX6K4aYo8hMzQxl5TnaqJJavkfL7r3DjXnDH95n3wUbg9aBdIkJb3GpjNLCjCFOAJ4CpqvxUHXmzSZAg8E5gtir3ehbHyBJmhjLyGhe1dOwcGNcs2yHQItwB/KzKOSH0tTVwOE55dMKZd4od5N+Wzn7stzqgCGcApwL7q/KzDxmM7GPKwsh7RGZfC/f1dmai7IVAi7AlsAC3EfCdEPvdAjgUpzgOho8+hnFt4J9NfOwBKq2oNvwKN+4LrfdTZWG2xzb8YcrCyHtEuBd4RZW7cjDWqcDJQOcwarsn6X9TOGYK3NPVR/bj5DvWz10BD3eyPUj5jTm4jUKgLfBxjsa6C6gJnJiNzlX5BX7HX/bjdqMTiqJ43HHN3M+NfMaUhZHXBM7XnYCPcjFesJo4A7hGhMbZGaXYaV+StcDqldkZryTZii4zoo4pCyPf2Qr4XZUcPEgdqryJS5M+JjsjlAzbBfd54Q9w+06BfyMruHDeRo0tTX9hYj4LI68R4SDgGlUOyPG4jXA1X3ur8kb4/ZerFjgC1gzDRU4drErGIbwV918cbfXXSTBkDHywCq7bDm4psgSbhYUpCyOvEeE0XCnPUzyMfRLOJNVJld9zMJ4A/wL2wymMH6rWTzIn9sjf4ZDhcPA4aNCqrKIyRZH/mLIw8hoRbgCWq3K9h7FrAC8D96tye47GFOAmoANVVBjZSpFixBvzWRh5h6tct98TIoevgMPOgEP7+qheFzi7zwSuDvZg5GJMBYYC84CpIjSofC/mxDbKY8rCyCucUjhsJszoA081hYc2gbYdoftMTwrjXVwN6n/kcEwFzgbeohIKo7g8LKzaxZzYRllMWRh5RrvRcEer0vsArgbatfK4F2AUcKgInXI1YKAwzgLeAZ5PpzASfopp/eHepjASqzVvlMSUhZFnpDKh1MCXGSXwGwzHVe2rmcNxi81g7wHPBXU1UlBys10r4BzcYuiwr6HnAxbtZJiyMPKMVBvWNuLZjPIg8D0wJJeDltgkOJ8KFUZZJdsKtyKr/YHq7AGmKAxTFkaeMX8EnLaktAllJDB/iU8zSgmz0CgRmuZ47I04JfUhMCW5wkilZFtsE6RO/8OnIdJvhvvMvQ/I8IeFzhp5h3uIdZ8Mm+4GK36A7+fAwmFReDsW4XpgK9Xs5I5KM3YN4HZc+pNDS9bISL634oxFcMZTsN/x8MH78M+2cNPWthmvMDFlYeQlIhwGnK5K79yNmb7GRFBR7kPgBFVeyZVsJcavgStUtD3wl/IKo/xmOxHqwjGz4Z49be9F4WKV8ox8ZR2wWa4GS/5mPrijSINSb96q/CTCefDpnSInvwlNm+eyeJEqG4M06hOAZ0U4VNXZn4Lxkzz4GzSFXjvZ3ovCxpSFka/kVFkkT909vg0sGgP0L/3dBvPgpG1h6k4VKZZsESiMQbh06s+I0LtYYSSn3WhoWzcb5WmN+GAObiNf+Rmom42Okzt6t2mV/M272/EiLBHhJRHuE+EqOGISXFO3vGLJ3T6QwOk9CFgCPC1SkWJt3sJ9dRSlAwdO/9n2XhQOtrIw8pVKrSwyrWmd3Nx0YW/YJMWb94xJcNUIoChorWDLoiiYdFT5XYRTgLtxCuMwVdaV/+byZbAlblP4WFwY8kZgwVRzbhcQqmrNWt410JagX2X23fpFMOAz+ElB1X0O+AzqF5X/bqeJie9pie93mhJCHxM9zVVN0Pvgg1lw0CToO8PJ6GR38zNoWSbHZi1/m60sjHxlHRmboVL5GzZ5UoRXgGZAc/fZvSjFqmBT+G8PWJhB6u75I2BwxzLOcG/pNFT5XaTFFdDvHZhyQDI/ishrk+C8XvDtN5aWvDAxZWHkKz+TsRkqVYqQulsAnwKvACuA5fDK1bD22GSO3tTRRKVxD98GGSqWXFF0FfyjfnmFuXA0MAA6FkHHq1V52J+Mhk9MWRj5yi9AHRFqatrCQ8W7l8sqgDdnqXJTyW+KvHUxDN6nuquCTBVL7kiblnxP4NLcymRECVMWRl6iiorwM7Ap5fNYlGHYVBh5LFxdK50CiOaqIAxSKcwVy0RoCDQFPvMimhEJbAe3kbeIsBLYWZVvK/hOU+BtmHQ+3PyX/FIAmZNiU+FC54dZsw1wnWruUqwb0cOUhZG3iLAUOFCVJSl+XwN4FnhLlctyKlwESYQP730g/LwaJvcJ0n2cDeyimtuMuUa0MDOUkc8kjYhKPBT32A/qbwFPng2f5F66iFHsRxHhKOBvqhMWB7/aE5jrSy4jGpiyMPKZchFRyc0ty5/PVaqNmDAX+LcIoorilMUdnmUyPGPpPox8Jsku7lR7KryVXI0iXwSfLUWoDewMvO9RHiMC2MrCyGeSmKFabhOFVBtRJogkmwt0wO0zWaJJ04AYhYQpCyOfKWWGEmFTaNXWsqdmRLGyqAe841kWIwKYsjDymT/MUCLUAibB316DwbtGJdVGdHlkCbx+Pfz2G6xdKfJIkfl0ChtTFkY+sw6oK4IA44HNYLfD4L8t8m9TXXi4IIAeY2DXpk6hNtwGus8UadDF5qlwsX0WRl7iHngDprpU2roezlsPOx2oJcqIGskRaf8EdO0DV5NYfY0EXnxS9e0j/Upn+MKUhZF3JA+PPWMRPNHN3ozTI9J1BTzTtLxfp/fXqi828yWX4RcLnTXykGThsbduZ+GxmVKf5BFjm3uQxYgKpiyMPCRtBlWjQr6eUz734lrgmzk+pDGigSkLIw8pzqBaEguPzZwPh8FpS0rX2z5tifu5UaiYz8LIOyrKoGo+i8xI5M+yiDHDYcrCyEvsYWcY4WLKwjAMw0iL+SwMwzCMtJiyMAzDMNJiysIwDMNIiykLwzAMIy2mLAzDMIy0mLIwDMMw0mLKwjAMw0iLKQvDMAwjLaYsDMMwjLSYsjAMwzDSYsrCMAzDSIspC8MwDCMtpiwMwzCMtJiyMAzDMNJiysIwDMNIiykLwzAMIy2mLAzDMIy0mLIwDMMw0mLKwjAMw0iLKQvDMAwjLaYsDMMwjLSYsjAMwzDSYsrCMAzDSIspC8MwDCMtpiwMwzCMtJiyMAzDMNJiysIwDMNIiykLwzAMIy2mLAzDMIy0/D8MfX2U49apMwAAAABJRU5ErkJggg==\n", + "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1568,14 +1551,14 @@ } ], "source": [ - "do(improve_divide_tsp, sample(USA, 100))" + "do(improve_divide_tsp, sample(USA, 110))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "That's not as good as `improve_greedy_tsp`.\n", + "That's slightly better than `improve_greedy_tsp` (although it took 10 times longer).\n", "\n", "# Shoulders of Giants: Minimum Spanning Tree Algorithm\n", "\n", @@ -1628,7 +1611,7 @@ }, { "cell_type": "code", - "execution_count": 50, + "execution_count": 49, "metadata": {}, "outputs": [], "source": [ @@ -1654,7 +1637,7 @@ }, { "cell_type": "code", - "execution_count": 51, + "execution_count": 50, "metadata": {}, "outputs": [ { @@ -1668,7 +1651,7 @@ "data": { "image/png": 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rVVvE6o9bRuyMvrWICGcBJxZ9XHfX4334Iyys6Nsp13Uw5sy6RprmSiJsB/wfZtbxc4n/zwm8ChyedUx7Eb4BllLlyyzrjYO/ox9jwmmifdoddKOLutVVeTmJsvPEo3mdABwJTMSymo8mvwVGIBAIVE2HF+xbEcJ7YXG4d/KvKRZ3uTsWz349VctE69/dBtgNs/t9AhiAafynYrbmC2NC/FRMcI8e32C23D0xs4+9sEXEMpGjYNc5nYRtl91BdDywQTWx5aWCjL61hAh/wBYn+wFrYZrHpamz6/H++BK2eBxJikKICMsCT2MLiDFp1OH19Mayyw5QZVgb31sDMzdZQ5VxabWnRL0jgH1UeS2rOitBhEHAp8BplfTp6FiJjW87+bE0Nn4VuFWV3atvcX54hKwbgAnYwvV73BQnCPWBQKCe6dA29iIsgJnBzEDE7lSVn0T4OPpV4BZgGEWCng/yNwM3izAPcKGXB3b/fgH+CoxR5etW2rEYrQjFIpxNs713A3CRCPslaB87XYR7ge2wTKyVlvM5cF0SbcqJg4AX3cyjYOoxNMf2VEoj5rAoNJsNtCoMV4ovhG7HdpHSFOoF61dXtyXUA6gyTIQzgLtEWEu1KVxr2ozHzPdqWrDHHN9PrkKoL0S5mo4JuncDxwPfYbslBeYSoaEQXape8GvcGksatidmUnRTxJwo8fcoEAgEsqZDaux9i3VXzCZ0nsi/9lM14VSak+AU7FInYyEb25wUkzZL8XaMoaW/Q9Jb6RsB56qyShLl1RsRbf1mqryRd3uqIeLoV3A2TFxj7318IPAVsEOasf1FOAjbRVnTY6a3933xtn2vyoFptauoziswTe6lWdRXCT7m/QTMpsqvFZx/OHBx5KMDC2Fx/f/LA0cBl2G+EM+ockp1rc4O79MfAt2whcsqqryea6MCgUAgBTqU86wI3UTYDxOU9wQOgaZJToloaN3c5erI6d0pw+FMm9PEJ+I06u3oR8uoMkk7vz0PLOzRRTojBwJD0xLqswyVl7azYcRWez3gz8C8SZZfVNcSmEPsX8oR6sGy4mLv3voi7JFW24qo6cg4zmLA+AqF+u6Yo30hj0OLsLgAqryhyt6qDMdMEXfN8P4nQX9MqAeb91bKsS2BQCCQGnUt2EcEqjncye89LFnKnqpspMo9NAvh1wGneQzzZUX4B7TQ+E2izJCNmlAWyUh572PasAKJho/0EIH3Y+neOxUi9AT+BpyeUvm9sC38wcDgrIR7TS8T8wU0m+ilFjFILOPvLZg9+DtxzvXr3h443/0A0qZgilPLLA3xHandB+dGbHdmYcpQWKjyFSYon+fhguuBQTQreaYD23sY10AgEOhQ1K1g7wLUC5hA9TlmO7mTKpuqMrjwvYIQjm0h74DZs4/EBIMoFdmmJsiKmKNiWuEj78bs7GuCDLXcBwAvqTIipfIbMUfWLtRxqDwRRITTgFWgyXY9zfwEJ2F23JdXcrIqozDflruiiZNS4mtg6ST7agr9f23M9r1vzPPOA+bHMsd+Wq7CwqMx7QbcWUGdmVO007oopgR6VYSVc21YINDJ8bFw7ZAcLjnq1sZeLHPo85h28Tcskk1bETWiTqpgdqIHUCMhHEX4L/C8KlelVH434AugUZXP0qgjRlt6YUm0emNaxlQiu7i2fizw57TsaT0M4+eYqVdq15Imbrf+H2BD4E/Ygj+1CEgirIppUFdS5dMqy7oSy7K8Uxq+AJHwuP1IKApRxE+ioGWvqkwXrN/zP8uOrCXCMcDeXv93FdZ9ELbbuGalZeSFCDtgC8vzsehlrSUQDAQCKSDC4liOjJmAN6nD+bMWqWfBPpYTYZGT6nRsov6FGgjh6I5vE0hZ6BaxyD+qXJZWHWW2Y21sUVZ4FicD/1FlSsL1HIEl0hmQZLlFdeyFOWr/nToMlSdCF8zXZClsAZSacOb2+9sAR2M7ZHckUGYPbOduIDAEGJXkM3AFwnNYJKwpwPrtRe+JWSaYU+c7WFSaD4uOrzBN877YrltXLCrS4pGfy2JmUwXOUuXkdtqwG3AWsLYq46u8nguwHcdTgDfq6R0QYS2s3wg1oOAJBDoLIsyP+S8VApgkMr4G6liwhybhvuzYwyKsiNlDL5NkrPhqEWFj4ExVVk+5ngHAscBN5KidKlqUfYG93IsDtwLXaQJJl1zgGwtsmVb8cdd0vwqcopqayUpq+C7OrcBswDZaIjFUgnVFo0lNAxZMMOpTIzTtyLxFglqfNKIQFZU5BhPa5wYWwcxEFokcf6BlDPmR2DW+Hzl+w8a1gmnlLcBRqnzbSv2b+nc2UuWtaq7Fy5sFc7ieEduJqxutmwj70zKIQlPktEAgkB4l3r1PMNmsLsaOWqau49h7Byh7dafK6yL8gGnqa4mtMefWtBmB2eKuTSSufwb1tsDzCKxLZFHmW3L7AE+K8BHm7Hw7tkXXIsFYmewPDE9LqHfWwpKLPZpiHangIUDvxuzpt8wgJnx/mgXULthOWVICVME2sysJx/Yv1VezLFOES4DDIh8NKqWNF6EfZlZzH5YE7x0RTseyTk+NfG9lbDG3bRJCvVNIYBX1M6kXrVvBqbYnZk43Kt/mBAKdhvciv0/GFA1BqE+AutbYV4IILwLHRx1s88S1vh8Bmyc40bZWV81rpzxayuaYFnN9YGZMEzkFEwbfBr6KCislylgaEyx2V01vwSTCQMy06cK06kgD17A+iJl67NPWvUywzjQ19qnH9s8LEQ6AJr+bOPbzy2IRjnpjpk/jgGOwyFgHqnJfgm2s6/svzVm158fGnvXKDb8aCATiU5RXYgqwWlrhqDsjnVGwvwl4VpUbUq6nFxYxpU2bXxG2wsLNrZa2eVAkRnlX6sCe1J37zot8NB4bCGYHfgC+xHwToj+nA2f698sWhCpo23yYScQiqvyQdPlp4c6+j2E5HY7QDLOHev/bHjgNc7Z8N8GyY5nl1Qsi/AfTJE8CbojTl11psBWWLXsR/1iBJZJ+J9K8/+WOpQnU04BlpX5V6yj5ViBQb9SDkrGe6YyC/QXA6sAeaQnS5Ua9qDSaRZVtOwzYHRhQy0I9tJ7l1x0+Z8eyCs8d+Tk3sCW0iG3eriNhhW07HZhTlUOSLjst3FnpCeBezC8gl5dfhJOBpVXZLY/66wkRXgcOVeXFKso4F8vlUCCVdyINfCwdCixBBlGnRJgH89fYVZVn06onDlktbAKBrCia26dgCrKalkfqiU4l2Lsg/S7mhZ2mNrc46kW5nK3KSUm3J4pv0d+hylJp1pMUkW3ysiIXiXA+Ft8cUnrGburzMrCdKo8lWXYa+D3cGwvverkq5+bcnl6Y0+cfVYNNc2uIMAcWKWeOakxDiiKCKXAqcH09TKQ+lg6h2Rwv9agZImwGXAOsoMo3adZVRlt6AS9iUdzqMpxuIFAKn5fOBmZXZau829ORqNsEVXFxp7F7aQ6t1IAJO2kwChuEpwBvADOrIsUHFgkmagqxssdeT5N3gIVFOE/qJLGMlpk0xwWhPYFNsVB+aQj1fTETnBmBh2v9HkZsGc8E5sOioeSKCybnAv/Muy01zvrAi9Xae/s70I/mre8zgLHeN2qdUdiiBEwpk6ofEoAqjwJ3AreIsH/O96kR812YgTpOgBcIFONz+l+B9UWYKe/2dCQ6tGAvQhcRthXheUyof4hmQXo6pGNn74LLutjE3KqGJTLhnoWZ7XwDPCHC7Gm0ywXfo7Htr2OAMbUumMbkROAuVZ5Q5eSUzJoOiPzeAByYQh1J0h/zSwATDrbIsS1RrgDWkJD5sy0GAN2TeEf9XRhOs2KjJ7XTF1rFx87VsQhOT2eorb4IS9Z2NfkugkZhEUOmYo7JqS9sAoGs8JC8L2AmtIGE6JCCvQgzi3A0tt3/N+BSzD77BEyQ/hEzA0jNnl2Vn1QZ1t5EpMr7LoSOBv4CvAQMFeGEJCYTEeYX4VARnsIiY+wT+XcDFhay7hFhIezaTs+46p1EWCfjOuMwCJpCWf4KtRFvX5WJ2II26+dV87hCYhvMF2YDkluAD8KERKihvtAePoYeDvxFhAUyqnZTmufHPBdBi/nP7QlmOIGOyUBg57wb0ZGoe8FehF4irOk/+7hz7AfAasAuqqypyh2F7WwX5l/CEr/UFB6h5DygD2Z79okIR4owb5xyROgrwnEiDMPSNK8OXIKFvutPS/Of/h5Dvt45DYvZnWbm3nmxxcPGmFC6OBZj/E4RzvaETzWFb3f2wSIGbV5jdtXXAo1i2T87LSKIv7MHiXAX9qyiESMSMRv0Z78lFhmrpiNiFeNtvQbzD8iCQnx7MJPKzBdBrtgZjs1Vt0EwVwh0SO4HNhBh1rwb0lGoa8E+En3meSxr2SuYRmoFVXZpw8nqHWDJbFoZm/40Jw7rgmnxR4vwigj/FGE1D8tWEODP9p/Li3CaCCMxZ7NFgb8D86qyhyr3qTKxyPxncWw340URds34OhPDnVn7Q+pOoWdiIQefKpj6qPIAsDxm+/qSSO3ZwLpQNBiL010zqDIZ09j/K++2ZEGREmIuEXYW4VpMEfEcsCY2yS3rv0cX4I8k1IwPgd/qSaiPcC6wbRaKCL8/i2E+KY/mdL/6Y3MA1InpVCAQFw8X/QLwnzrx+6l56joqjkdMeB4ThKcCm5QTokyEg4EVVVvYS9cEpUI8Al9j2WK3AP4MzIUJ79tETh0P3AHcgyVNmhajzhWwLK+DsdjmE6u/kuwQ4T5giGqLmPdJ17ESprXrVypuvccM3xfbaTkTuDjLGPHtIcKpwIxujlYziDAD5mh+oCpP592etHBt1KtYPPnJmBb4OeBJP94pDj/q5jcFTf3uwBbVRhHy8WWEKvNUU05eeKjUZVSzUUS4v9MHwEJZ56sQYTloStpT83lHAoG4iGVA3xrLht1A6OeJUO+CfUUZD0XYEDhdlXVTbmJFtBfiUYRFsKgNq0Q+rio2td/LK4AVgJ005Sy4SeFmHAOxpDuT2vt+hXUIJoTdqtrCRKLUdwtavonAXqqMT6NNcRFLhHawKpvn3ZZiRNgNOARYJ6/Y+mkjwtqYEqIBU0JsoMoLMc7fBXPo3EGV56pox0zABFVmrLSMPPH2vwdsphllqhThXuABTTmpYYl6DwU2xHZrygr3GwjUMm5tsDzmw7IJZib8GZanokBIVlUldW2KU270mRKMpnZNccoJ8Tg/ZjddEIKqjvDj92534HzgWRH2iZr6VFN2Wni7bsNis6ci1DvbAbNA+4ONKmOB9YBngNdcIKsF3sAG1FpkIDAncEEH3oodifm7TMEim4yMc7IqtwG7YP4c21fRjolAD5EmE4+6QpWfsV2xMzKs9lbMJDI2IvSuImTmjsDN5Yb7DQRqEQ/gsZcI/wO+wMb7BTBFxXxYgICCP0vdOPXXMnWtsa8U18B+B/RV5eu82xMHEVYEHsWE8HHYVn2sVPNl1LEMFh60YMuaSVbcOEjLZGNgPgPPACNV+TLBenpgC8F9VHkm5rkrY0LBCOAQVb5Lql1xifT5xVX5Kq92lCISa78bHXgr1nfFlgHeqjS6iZvNPQT8B0tcFDsbqQg/AfOr8mMlbcgbEbpj7/6ucXY9qqivB6ZVXC7ODpz7/ryBmYrG6tcizIeFuuztviiBQF0gwoyYsnUTTDM/L2Zu+ATwhCoflTgnViLKQNvUtca+Uny7v6a19qUQYSlsNXuwKo9HQmUmKnC7Gc79kY8agMEiXO3apxVFmKFKbVS17EuzUA82iJyKhQb8XITHRDhXhL+IsFxxxJoYbT8as0mOJdQDqPIqsDLwFfCGCBtHHSjjllcN3udHUpta++1pjrXfYZ0Eyw2B204ZI7D46mdifjaDK+hLP0G2/S9JXNA9DTjLF6wVUe4Y4LuBd0Pru28e2aiPCHv4ODkai2hTCITQEwvZWS7bAw8GoT5Qi0TfHREaRFhZhBNFeBrTyh+HzXt7AXOrspMq15YS6iFeIspA+3RKjT2ACDdgWR2vybst5eB29c8Dp6hycwb19cVsWcE09jthK+8AE4czAAAgAElEQVRVMdv+RaEpS27mWtYijX3TjoJP9AtgAuxykZ+L+PdHYjsdJ9COhtgn/DeB1d3Eppr2boqZS80AzEoO6eFFuAT4UJXzs6qzPdyp9HFgJSwCSIfV2CeFBw14DutLU4D124gAVur8d4EtVZsyutYdInTF3s2jVHksxnk9sPHgj1g0pi7ANOACTEP+IfARMF6VqZHzNgCuAoZhuyWjvJx1MHPQQi6LwfiCCxNs3sPGyd8wrf9nmLnjfW0FOBBhCOY3FcwSAjWFz4sfAN2xd+cHLETv43485yZzgZzo2v5XOizthrz0DtwfGJSXoOFtKDgXnpOFUA8W71+E4djOxunFuwIiHA5c7H8WtKyZObx4+87GYsrvVmifa6Y/8WNQpL09MTOI5TDNW1RDPEQsO/HoyPErFiloYLVCvbfrcRH2xhzhGmhOD1+2QJYAHwDbi/C/WhCcxTIhP44JQlsTtmLLZRS2MCwEDYjr6F7XGnsAVaZ6pKezRHi8lNO1R1xammZlxKrYPXsXS1JY8DPogs0F82IKgIWBeUT4HBP0P8R8E5bwYw/gZ2yMGYKNMycAH5SIbLQY3q8x4WcAlvX7XBEuxMwofy46ZwFv55MV3ZxAIF36Y0I92LtzdpoR6QLx6cwa+wOx7aI/lRBaBdPoPIYJYVOAzYDXoiHP0hb8vfxxQA8sksZCGWvFnwH+VSoMobQMy6lYRJMXs2qbt+EfQBdV/h7zvGjbJ2FZ7+bBJtOlMGFgQf/6JKBPEvddKozilARFWpbcteIizIMJLg8BJ3bUaDhpUY29vgjPAadVYl5WS3iEjTcwrfjxmJCxKs2C/PJYMq5XMLOYV4A3VJkoJcIKR98HN91bABP0FwGOwvILFBioWrljvO+6HIM5Dl4DXKKeXE8sa3qjKvtWWn4gkBb+7ownhKesWTqVxj4iiI8CLsc65hgR1gEagdcwW+2/YNqbgg9CN8wJchYRpmKTxRfARrj5gEgqnbs/JtSDPavTRTggQyHoN2y7/3eo8nlEGzUzcIcIm6gyOqO2gWVijO0oW9T232mIRdif5syfPUhoN0KVn0RYlyodKCtkS5q1LJnvsERxjeSTwP+whWPi/dkF30YqcC6tB/yaKt3tmQocIsInteQQXwF9sHepEcvp8TF2T4Zj+Txea81BuL0xQJUpmFJlHIDPEVHB/v+qabgqQ7Hdsz7YomGUCA8CN2PZrCsOXRzoHOQ1xvm7cym24D0oCPW1R6fR2BdpLKfT0nE4+vctmFA3DniflomivgBmAxbCnDcPi5SReOzVIq3SZMx8aCKWrXNBUjYREuEh4ArVZpOWNr67O3AOtgPyZlptKqrzSkwDd0XC5bapzas33B75dswMIFcti/uKPAVcqcq/U6qjFxYxph85+DLUMiV8Z1KLdpW24OGmeNGEa1Xl8mijnuWxiB47YWY4F2rCMfRFmA3T4J+E+Q3V/bgTSA9/t4ZgC9tRZO+vtSswQJUds6ozUD6dKSpOVGPZQHMMeKXlfXhOlSG+LboYsB8+wKqiqnzrkSnOIuXYq9qc1nw/zFl1JSy77MP44iPliDStauyLUeUWLILME2IhObOgFyQ/mBXd97qeXF2ovxnb3cj1mkRYHHP6vCAtod5pxMypZqDZlyER8opqlCDHRH5voDmzbaL4/RmGOfxXErmnHK4jwVwepRCL938VcLIqz6iyd9JCPYBaKNyPaI701WGjQwUSoREb27qQ8BhXJm8By5cZWS6QMZ1JsH8QE1TBBPG1MeF8bVoR0NsKwRQR/iBFQSnaBlWmA7/QPPj3wMJJpcUUyhTsAVS5HXPyfVSE1VJrVTOpCPbQMcJvuVB/CzA7pl35MK9rEsuN8CxmenNpytWNwky0plGZc2lJXDh9DdOUvVJvwr1Y/Pe1oYXp01MpVdeIOZp2JSXBw3carsQWD2ntPByEzRtZmK0NIiTqCZRHwYF+OmbvnnWm+EnY+301MDYI97VFpxHsXZhZAvge2FqVoWox4IdSoSaz8N2MBaXo4P8bcIwIfy43JnNMfoOW8d/bQ5V7MDOlQSKslWBbStELQlitUrhQfytmOjZAtanP5NGWFTGb+uNUuTbt+nxL+hxsMZ/kFnUjFjGlATPzuUqEWRIqOwvOxcwLl8CUGqcCN7qtedKMwkwH8Z9pCR7zAxenIdSLMD8WL/9AV6qkSkfaKQyki49p62ImljfnYGq4XuT3sLtUY3Qq51lVPhThNOBot/Ud5JrZz8nJkTAuxU5fmInOXcBceIbDBB15yzbFKWrjILe5v0+EHVR5LoG2lGJ2YHcRPqpzJ8BEcaH+v5hT8wC1BDt5tWV14AEs8+7dGVb9MSAJT3jRMJPvYe/HaBFOAG7NQvirFBG2AbYCVnKzj5P986+AZ0TYUBMI61rAHcXXAoZiUY/SEjyWIb1Fw0WYL8jbKZX/O+ppLgrki79jD2NmxllTUDD2xHZGw+5SDdFpnGcLuED/gf9ZtYOSCKpaefbDJBDhGGgRRzYRR14RrgFeUW2KEBP3/I0wjcIxmDB0XbEA3lbIUA85N0crR0GzBSk7AdYTHrv7v5hN/bZ5CfX+XI/Cdm/2VOWhjOtfGzhPlTUTLrdFmEk3ObsMM1s71P1vagof817GklK9VOL/B2KCfqLCvZd9OjCDKicmWa6X3RP4FphZtcnMMqmyt8QSUS2b58I4EGgLN3G8V5Ulcqi7N7AdcCRwhio3Zd2GQGk6lcbe2Snye65h/xLkf8DZmHY9SdvMijT2BVR5WoTDgIH+0fEi/B3LVFcQ2o/HTBumiTAYM68pCO+FifubEkffSFUFJ8BOHSLOhfr/AX8AttGc0tH7gP8R1ncmY3bpWTMBy02QKMVhJlV52Xcl9gUeE+Eu4FRVvk267koQYSHMjv7yUkI9gCpXiakmEtfcYwnILoLkBXssqdT7KQj1i2GOuAcHoT5Q44wB5hehV9bmOK6Iu1Qs382zIrxRi4qNzkinsbGPsDw0pQrvEA5K/oKtiTmS9k3QNrMqwd5ZIfK7ANti9snz+f8KfbALMAI4GEsOtiDQTZV5VFlalXVVGaDKvqocB+xPyhEx6gkX6m/DFkPb5iXUO/1p7jfdycf+cgKWPTT13TRVpqtyDbYrBfC2CPt5AqXciIT47QMc15b/jSpXAWdiwv0aCfrrvAQsJsJcCZRVzDKQrJmMX/O7mGLhpnpxCuwA0ZoCFaDKVMxEcPkc2/AWcDhwt4dtDeRMpxLsRVgSS0DVSAdzUFLlVeBTTGBOiiQE++ugyfZ4OrCjKoepcgym5YxGgThXlVdUGafKD9pG4iI3u9kDiwjQqc1wXKgfiAnR2+Us1IPZX07z3/NaPBecqmfKqkIPhXsosDmwDzAso+hQrXEkzWN8uw5uLtxfhtnFJxLtwrXpzwIbV1NOKyxN8vb1exPjntUCLsyPxLJapxVaNFC7jIDMQkyXRJWBmC/VrXkrNAKdSLD3CeoWzBlqTL2HMmyFx4A/JVjeFGJGxSnGBe5+2Jbh36ICeAJRIO7FHGg/raaN9Yz7IdyOLcC2rwGhvvBcr8CeTy6LZ18UpmKOU0bdrwPrAJdiDuTXiDCXCH1FONuTRKWKCH8AdsDeYSh/gRU1IeoJbJuAJvhxYNMqzm+NlYDeCWvVV6f+dnQbgQXIL6Z5AJMxcorr/jo5C/bOcVjAhlPybkhnp1MI9v6ifQisgoWHrIvt1Qp4lGQFewEWrVYD5ML8RcByJf5Xcbx4VX7BNHarVtO+esWF+juwCX2HWhDqI7wG/Jzz4jkXwR6azHNuxgStn7GQj+9hmVLHZCDcn4n5AixCvIXzIGiyK58G/I3qk0w9DmyWpNDj5WyKxZlPJI62CKtic0Q/6mtHdxTN2YQTy9sQKJ+I2Vsecd0rFuyTNOHy3bkdgQNF2Lza8gKV0ykEe8zmt6B5rovt1Qp5HlhRhI2rfVH9/L2wrekktnefBDZJweZ5MKYd7VREhHqoPaEezE65X85tyE2wL6DKD8D/ARMjH6eW8RVAhPWwCfaIChbOgkVVAlswLkz1SaZ+wZ5DkkLPfiSYpdXHpXOB09wUsG52dN1pcnXgR8y/JuuY5p0a7ztn0pzZPmsZ402gn88JZeNz+gckmB3a35mdsPwYq+W0g9Hp6SyC/Ts0O1rWy/ZqJXTBrvMRqn9RG4E5sT6SxPbu+5jN/pJVllPMEDqZYC9CHyx8YTfMZ2FKO6fkwRhssskzFGzugr0Im2IatfvJwNlbhBmB67GILt/EPHcRzKxt36J/VZvBtz/JCuG9seRaBSZR/Zi+OTAvKTvhp2Wu4cL8q5B92MPOjAgLAg8Bq0GTckWxRVYmqDIRE9CXjnnqqZgpa6LZoVUZgpkhDiNkps2FziLY7wX8m/raXq2ERqAHybyoo7CJfAoJbO+6zfOTmPNykrwArCVCl7gn5mgTWTFi2TDfx6IgbIBF76g5VPkaEwjnzrEZX5CTYC9CNxH+jTmP76bKYcCGmOZ+2RSdvf8PeEGVByo495wSn00Hdqa6DL6DSNZuPRp1CeDkKnORdMGu/QSPMpIKkTCwaQk7r9MyClkgBXzeOECE4zCTwxcxU5hFMRljeywMZOq+NBFimeOIsAS2gB9DQnN8EV+Q4GI+EI+6jWPv2uhGYFRbE44LQtsAi8fVYNUh0cyYVb2onnxnXSLJeBJo3xPAbsDFCZQFgCpfijAB6wtvtPVd1x7PgQ3AK2MRQBqASSL0qZMF3w38fsCs1TwMYzBznAk51T+BEn4daSPC4ljo0U+BFX2RgyrPifACtihLPJupCBtiY92yFZw7E7bwmIyZFEzCBNBLql2EqGXLPggLibd5Au9Z9D3/FbvX1bA7llujksVQHAq5RiCdd/d18slC2mmI2NJ3xxa9G2lzZvWmrMEizA08IMIaquVp70VYGtt9frCCd6QQGafdHSePonYr8HfgZpKd4wuEzLQ5UpcaexfqX8LMMN4WYeU2tvyPAm7uBEJ9YTt2XWB9qtOwNZWnyrAEX/ingfV9YEmS4XicbhF6iLCkCJuLcKgI54twjwgjsMn7feBKLF5+of/3AK4UYW2PJkKWEUzKRSzZ1yI0OzfWulnZGPI1DcjUFEcEEWEPTIN3PTCgINRHuAbLwZB03X0xn4vjVfmugiIOw97PgtaxjypHJrizMBSYMaHF837AhSSwAyuWvfZ04Li2wutWiwj7Y7uVUXONXTwEc1LUSnSUjkx/mm3pG6D0/KDKlViY1/+1t5ssQlcR/oop4q6ist2csp69l3sX5tB/eQpzPNAi4t1hmJJxv7bPCCSJqKY2lqWGCGsCz2Haj+nYBN4Vc6R83o+RmGZsCLCZKs+n1BZVzdWOuK5wAfty4LYkBhMfqD7Gnr9idvwfA+Mwzcq4yPFBQegR4VjMPKvAEGzAXgaLoFSwV1TgCGwLfVKJY3LR37+por5TtAUwKAlhRoStsAXJ2l7PFsDDtbzLIMKJwOyq/C2n+tfBciOslUFdM2MhPlcAdlblzVa+1x34BFgrCaHZHebWxyJiNWCLvVjCrgizYFFV1lPlnWrb1EY7fwRm1SqyuYpl0h1BAjuwvhi6GpiiymbVlNVOPQcBJwEbYY7EW2C7l9tjGXlvBU6vcEEWracrpryYNzjQpoPPN59iu6ZtvmuuwHoceEmVE0r8X4DtgDP8o2iwgVMxuaas+UOE2bF5a1bVprwxpdpe2G2YBNnsUoswL6bsOEuVa9OuLwCoat0doL1AR4BO9p+9QBcC3Q30KtDRoN+Dqh/TQPum1BbN+37Uy+HPaQLo1MJzS6DM/SPPWUH3L/O83qC/+jm/gvb2z7uD3lhU5tugD4I+AToY9BXQkaDvgn4M+iXoj6BTQKeDToyc21R2Fde4KuhXoKvm/Qxjtntb0AdyrH9x0LEZ1LM66FjQK0H/UMb3zwM9O0b5vb2fLwq6BughoNeCvup97dOi/rpvzPb/A/SmDO7TO6DLVlnGZaDnJNCWvj4vqL+zac0Ph4J+CNqnlf/P7XPWBNCDQbtWWd8I0JvTup7OfoCuAvoB6L7ljOugc4KOA/1L0ed/9HnkNdA/+TtemDd+8z6p/llZ8wfoeB+DSj77EnNlrHGiyvu2BOjnoLt7O6qaE8PRzv3OuwEVN9yExDVaEw5BLyrqxGem1A7N+17UywG6pgu/ii3K1kigzOiAWPYgGDn3dwO0T/qFgTXWohC0iwte0b53RhXXt4gLblsn+Bx6+bNo7d0pCJLVLkiWAR2TY3/rBfoL6NlpCDqg84HehS26to1x3lI+yc3QTj9aDvRYbCFc6EtvgF7jfWwN0D9U+Q7MDvo16GIZPI97QXes4vz5Qb8FnTuBtlya9vwAeqQLgYuU8d3lQZ8BfdOFvr6l+i1oTx8TVgfdyt/TU0AvAX0ocj2pKbM68+FyxWkxz2n0MWIL0DNAnwN9D3Qn0IbI9wrz0bFFfbNdZZX3lzafvZdfWMzGGicSund7RtqYef2d6ci9AaldWBXCWcx6NO9rrZeDEjstCZVbUkCvssz7QQdV0m+KBK3JLjgdCSoxy5kN2y04PIVnMKXUM6DlTkZVgy+2+zGpLQE2xb7WnZYLrETHANAFI+NL7F0Z0JexRUFf/3su0P4+8T+F7QCNAX2xaJIvqWWr9B0APQv06oyeyVmg/6ji/ItAz0+gHauCfhF5fgq6XsLX+ldsF2fhGOcI6HagHxU981dcEPzR36eP/bNBoNf5fT0S9L6i81JRZnXWA3QGbGelkjkhKtROAV2wje9G549poMPaqhN0VtCXip79y6CbgHYvav8PoEdVOq5TodIH2739sZyxLBzVH7k3INWLs4n9nSQn9KLye3kHTURA7QwH7ey01MqBadqWrOL8JkELtA9mNnE36Kxlnt8d0+BdkPB1RXdNyjmqGnxduFkio2fWALoOth39dQkBKTFBhyq2tWmpdFDvaz9gpl6nY5q9OSL9qCJtfBntWM3LXDej57M76G0Vnjsvpq2vZqG5POizoN+ADvDncCa2mHoHdM4ErrEXpj0f25bw1k4Z5xb1rVtA+7kA16pygJbmRQp6ahbPtbMc2ML7xQrPjTVeROaP+bBFW0E5FNXwdwE9EFukDow8+2mg54MOxUyS7wLdy9vweaXyEBVo/LEdpiswc6Q/pzWWhaPovufdgFQvzrYrX06p7ILmU0lQ+xyO/A8fTL9uaxKtoMzu2Pb/ONBV2vmu+GR+D2iXhK+tzV2TIkFyOugNoDNWUd8joFum/LyWdOHsA9C3QE/AfG6KBZ0DEqyzN80mMnHNX84umuSvaus5k86OVLtb9yk8p1VAR1R47nmgF1dR9/JF93z5ov+fhWk5Kx7H/d0a5+/NW5WWVdRv45oCFhYrG4F+ArpP2s+1sxygt4MeVOG5VS3QMX+hIZgZz0ag/8V2c58DXbHo2feNnDe3C/WPVvu+8/vFySVtzZGYCdIo0NtAZ4nch0THsnCUuPd5NyDVizObzAmk4KxBCvbi4aiNA3R70AdTKntHzN7ysNYGRUxrO4wyHDErbEN7/imFwbcf6E2Yk3BF/Rv0akxjlPT7Ny+2pTwc9DMX/FYovqeRyW5b/95hCbbhSBcG407SFQtuCbb96qJJOnWzDdCZXKiJtVjFzJS+BV2girpvKrreG4r+L5hD8tOg61UilCc5J3gfGQV6XhVlLIH55+yedf/qaAfoLJj2e/YqyqhKqMU09GdE+nDZTt/8XpkQ+33HdvimR/r329iuwAZF3xPQg3ye27st4T8c6Ry5NyDVizPBvtCRk97GTsVePBz5H6D/AT0xxfIXB30d9A5ckxH53z7YNn7VDoIJtnc7bLv3DNBuMc6LarUrjg5Es13nYqB/wbRP32HRizYuV1DEosqM9ufbUElbispbEvSDCs/t6/ekzd2blJ6nuACbqcbe6/6YViLEtHHO2aCXV1lvmxp7/86sLrxNq2RMT3pOwJysv6ymHC/jM9Cds+5nHekAPRqLYJOrprlSAZ0EdugwpdQjNJuYNmCRCMeCPga6KabseMjnt355P7fOetRlgqoY9I/8nmhaY004GVSWiDC/CPunkNK8o7AWFnc3FVR5D1gT+AYYLsKKnhDrNuBcYAtVvkyr/riocjcWn315YJgIy5R56j7QlJylB7BX3LojsZevxpKL7Q7cCMyvyl6qPKnKtHLKUuUD7NmuBNxZSEZWBe8Cs4rET4KlFsP+MyzueNYMAObFcjUMx5Kcjc2o7tFYZuyyEGEO4ADgnCrr/RaYCPwXWEG1ZJbqpYA/YPkAloKy+zmQ/JygymjgKeDQKsv4E3ChCNtV057OhAi9RFjTf64GnI8lgKokeVSSXAdNceqnU0amWWdWbKy5GOinleXQWBUYosp1qnyuynRV/ou9K89guTQuBDbFkvONqaCOQAJ0dMF+ODRlE0w8S6emlLUtDURoEGE1ES4CxmOCUt6DVM3hmSiXBV5Jsx5VJqlyMJbW+0lMSNwZmB3KE1SzRJUvgK2Ay4BnRTimvYyKWObBKGeJoHEOTPjtHinjDlUGqjKxwuv4DhN0JgJPe+r3ilBLBPMysHqFRXwHzFZp/ZUgwkzARcAhLvSthz2n3WKW07tC5UDZgr0nkLofeEKVj2LWEy2nF/aO9QQasWR1pRgFvA1M8Xa+FbeuFOaEfwFH+3OrCLVkaZsBl3uiu0AbeH8ZhiUt/AZLJlZIQpmogjAuLpD3Az4H9ipHQPd3dCgwC5b1+pcKq18Fk6mK2zQFu0+Fe9QV2LjCOgIJ0NEF+55YR6w69Xg9IkI3ETYR4XIs2+WNwOKRr/QEts6jbTXMysDblQqOcVHlNizFd2FQFGDvLOqOi+/yXYcJsltjgvEipb4rwmbAljQvrKdj2UIlzgHMhy3KIaHFuSqTgT2wCXuoSIuMj3F5iToS7LGMls+q8iyAKr8CuwIXiLBoOQW4oDAOUw58IMIGIiwowswi7c4pXwO7u9BeXG4PERYSYVUR9sMWu2sDO5T6fgwagUWxd6tVTXwt7sKq8jbwLHBIleWMAP4MXCuSn2BaJzRi82ShL+9KwmNQNbgwfxGUnVG7PyZsQ4ULExHmA9bA5IhSDKKG7lFnR8x2qmMiwq7AVqrsnHdbssK1DZth2+2bA+8A9wH3qzLGJ+Wx2As+DXgDu0ef5tTkmkKE4zAzjyMzrHML4CH/czqVb5VmhmvrjwaO9+MGVdQ/Pw1bnOyGpV/f2/9f0TV5n90CeDjpxbkI+wBnY+Yec1NmCvfI+VsAx6jyxwrqvh24V5WBcc+tBBEagaeBZVWZUPS/Y7ExYwNVprZRxnLYdvuGkY8/x/rtLJgpy8/Ytn/h+NF/KrCLn6PA48BMwDzYve8BfOnHLLTc8TlLlZNjXzRNY+JgTKgfTY0I7eXiz+0poI9qxdrWQllrAA9gyq6vgFH1dC+yoFR/wfppKmNQJfhC9wVgvvZMEX38/BgT7n8lppLTz/8Q6NbW+WmO04F4dHTB/gRgdlWOy7staSLCvJh2dAA2CL2ACfMPtPcCYnbPhwE7qKZnV14viHAfcJsqt2dY57lAL8wOuGIBOA9EWBa4BfgIuBK4AhPmty0WHmsVEXYCbsM0upMwAaqsiUmEOTHt9bHAgzEnzCuBkapcHr/V8RBBgOeAgaXqc037E8AzqpxR9L+ZgJ2wxc98wB2YBrkHRRO9L+x6YYJ54ZjZf+6BmUEVuAdbJHwJTAB+ULUdHhdcxmBa06oXuy6sLQO8VY+CrAh3AK+o8u8EytqEZo3qW9TZQicL6qG/iPA6cHRh962d7/4PMzE7Ma7QLcIlmIxQYD/fuQ3UKB1dsL8cM6u4NO+2JI0Ii2OC/ADMCe5RTJh/RJUfY5b1Z8wJ5yRVrk26rfWCCz8TgJVVW91yTLrOLpg2ZRPfdq87ROiG2d7v5x/Vxa5DAddWRwWmYcB7mIZqBv9Z/Hvh7x5AHz8vljZMhLOBn1U5M4HLaK+uPYAjgNVb0/CJsADwKia0r4LZ5W4B7IhpMK8GHlVlWiXaubjCuptIvQUsrcq7ZV1oB8UX0E9g/atarf2awPOYBncKsL4qw6pvZSBLRDgJ09gfVsZ3HwCuV+W+GOUL8FdMaTEb5usUW+MfyJ6u7X+lrlkIE3jrEtcaNGJOXT9jk21BmJ8Ncyw7HbOZnVxpPao8JMK6wP0irAgcpcpv1ba/DlkDeydaNUVIgQ2BCfUq1IM5T4nwdeSjBsz8piLTiRrgY8zZ8jdM8JlS9Hv07wHQpOEu2K+Wq836DuI57/qYsAIwolxNoptyXALs1Na2vSrjRTgd8/kocAFmuvNp0Xc/p/zrLJzzvgvrZZlmueng99h96tSo8qYIQ4CDsAgt1TAKWzAVTE1iOwkHaoK7gOfFoqmNbGc8mBMzvSoL97e5EZgL8yH6jWBmUzd0dI39SGAPdxyqK3wCH4Jp47/HhIifgHsxzfwrHpUjyTpnAW7Fts4PxUIyxrI5rlfcCfRdTAubmVZChJswIe2CtOtKE9fGvouZs9Sbxr7gDNqD+KY4UZ+VuBr7vwLbYmZw7Z7jY8JooDfwJmWYUIgwP7ZQaSinfb6LcELko4pt25NAhLex+9PphU/3b3gC+Cfmm1Hx+FQPpiYdlajCrpp77+V8iSmj2jSpEmEscD2mtW+z3/iYNh4bM2KNh4HaoKML9t9jnfLbvNsSl6Lt0mnAblnYfbut7fnAUf5RYkJuUgNaO3X0xqIAPIxpGeYu8+iBCfUFUrcjFGFGzB59SbVwknWNa2NfBnZW5ZG82xOHahy/KjRLie3Q5mPCc1g/nYpN5K2aUPhW+tPABpGP2+zXvkB7z//MfYEmwrPAP1V5Jq821AreZz7BckMEk4g6JOKYuzQWWrVi/4ZyTaq833zmf5azuD8X+Fvko2BTX2fUXbhLKTN+smufu1K/27iF7dIp/nsm4aN8F8WUMG8AACAASURBVCBqFpJI3F4f0F7DBqLB/neiRDQNV/vPt4GBwCmYyURfTAMxHNtmPBaLILQAsDDZh+vaGhjaEYR6MNMJ4FJgk7zbEhe1hCvXVSIoVXjuzsQPQVeIsz7Vj/YSwJyG5UWY5H+3269diH8CuJva2HX5kpjmSh2Y/jQnfMs1nnqgYhoxoX4GbMckVhK0IqIyQlsmVdtHfm+z37i/1NZeJoTQlXVJzdnYl9LquuZpZuyFeBYPuyTS5spzQeDjQpSFekOVn9zuPY/t0kGYMFAwTUjixf4bNMWiLsSSTtpha19aLlaPj6Fp+FGExcjWjnB3LKJMR+IG4EURTlBtmhwCEXw8+yMmnBc09u2+Y0VjwhmYs/LvoqT4AvcCzCdnLUwYjNOvvwCeqgGhHoJgH6UQK7wnJngFgav+KCzOl8ZCvu4kwngsNHUss9cYMsJobPetYI7XVr85GjMt3IBgU1+31JRg70L9y8ASwEQRPgDmwBw/JmNCZjf/ek/gehH+BbxUwilsIWyru27xFzXzaAWqfC5CHyys3QtV2nJ2wdLBb4PF1O9DCg5bLiz9CTO/KdjJx5r4KnEIrBQPUboGdKw07+4g+TamXbwn7/bUKLsCi2AL3Y2JMXkWxgQRDgReEuFOVT4s/L/IxGcy0KWCfv0TpkipBYJg7/i4vBjwD6AxCFz1R5Ew/jlwExYquIH2lZUly6N9GaEXtgt3J22MNSIsjCngVs9yLgwkT62Z4jRiSUkaMG3xeZhH9iyqzAwsT7O5xGRMULwS+EyEa0ToL0IP///KwDxSXcbCTou/2AcAe4vwh0rKcHOoB4CVgNX8SCur465YEpE+1Eem4V2wpGGZZLjNmOux3ZNAER5S8gLMqf+jKsx/xgL/AS7zRS0idMcm74LCpjuVmWv8CMmbylVIEOwjeF85AugrwpJ5t6czUq45cGuo8pMqw1T5CPgfzXJYWuZVfYB3yhhrLgQu8rElUMfUmmBf2Kaagml071VlvKrZiHqnXAwT3BZV5WhVlsOit7yNrTYniPAoFgZyBWBMEO4rQ5XRWLKrfeKe6/d8KJax7k+qfBMZ0BIV6kWYFTNJOMj7S0XCUsZ0RDOcAncBa3pEloDjAvj1wCWqvJZAkedhmv99PcLO81iG17Jt6luhljT2DcAG9TKGi9BLhDXT8CEq4CZu1wMHplVHoDSRCFpXA2MrFe4jPAZN5sJp2bM3YkrOVtsqQn9sF6HqBGiB/Km5qDjVhuESywR5A2YKUCDXkG31jAirA7cDi2uZse1F2AjTRPxTlSvSbJ/XdxlmcnBQ2nUlgQjLYAP6wiVMyDoEIlwFfKTKWXm3pVYQ4RBgT2Bt1WRyJYiwFRb+VjCb/YUxQaFi+1hPfLMpsEueC+SiEKpgOxQjMFOjj4BPC2NSJBpWLDvlSs9rpaxewIvAkqSc0dXD8w4HFuqIu36VRlBLIvJatE9gsd+Xxcwm18DMPeeJfL2qiDEi7ImNCf8lBXt2v5ZPsXeoZEQc35F/CzhQlceTrD+QDzUn2CeBJJyOvLMjwjPYIDcncF1b99KFl79jQkHqIepEWA0z91lKtfYjIPlAex0wTsvIGFiv+ILwv9iCsOMNMjHxMWkYsI4q7yRY7v6Y9rBAtYJGzYRULBFT/0VMoF/Ij3kxU51PMUfhsmL1R8rvje0odotzXhvlRcMPTsdCBk8ipVwgIgwC7lblhqTLzhMXzocBixMjJKQIs2OR1+anwoWV94kPMDO26cBEbCE5zI9vaZnAbQVV3ohTR6QuwTI9n6KajiN0e+ODX+81wDRVtk6jDYEcUNUOeYD2BVXQvnm3pd4P0L39XirodNDGEvf6HNBbQd8GXSyjdnUBfRV0j7zvUZnt7Q060e/jJNDeebcpxWsV0FGg6+fdlrwP76cvgh6ZQtnRPjWx2j4Fel/kXVfQfXO8b6tG2jGteCwH7Qq6sI89sdrs/XNgktcK2gt0BOhk0M99rEztXQf9M+hroPt3pLEEdO3IvZsMukaJ7/QuXDfoIqBngn7t/aTV88qoe/+iPnF4O/+vuM+ArgP6LmhDiveyN+iUUuOD/2+S/+/XjtSHOvtRazb2iaGuVdagqU+CVSK/C/C6CN+J8JYIg7GENscBuwG7agbON65puAVzoq4XW/X+mIMUVO7YWJJqHbqSRhXF7IBj+2d0JPx53IFp/y5Junxt6XdUrcb5JCwMX7U2+kmxBZaH4ixK7LqqMlXNAfFCmtvcbnheN9e8H+iHjR9gZkwTqrGNV9MOr4sFCDiTZhOi7sClIi0S4CXBCMyPLCl771phJDTtan0JbB/1sZDmbM+FfCWvAjNiZjJv0n5c97Z4mJY273cV/b8QchT/XjUmdUdg/jaJZpCP4uPBrtj9OrXo3/2xvgkWrCTkRego5L2ySPMA1bzb0BEO0GsjGpRprqGfA3TZElqvMzNoT1TTUDeab9C/Ru5j1drVovtR0NrWjOYFdC7Q70FnybjeJm1eztff2zWHNfVcWmnrcaBjvM29QffNs72gPUEngC4Z416PAD26ne+tD/oJ6Hmg3fy8E0B/82MEaK+Enn10d+4p0JGgWyTVN5PUHtfage1+HBu5tumgj4AOA/226LoPLjpvjUqfIegm/pxa7f+R92Nb0E9BD4/7PF1bPxF0hTLvxZqlrgl0PtAD2qofdJnIvWqad0B3TWM+Ckf+R4e0sS8gYteYdzvqGRFmxmwOt8E0IjdoRHNW5M8AcKEqR6fcpmK7weuAI7RGnchcw3QM5iS1DaYpTMxRqsT9+Bh4CLNJHorZ8+fyoovwEPANliwsdVvtGrMRT9T+PS08os7BwAaqfJp3ewBEOADYUpUtY5yzBXC6aosdxsL/umAaywOBfVR5JPK/qG38FGB91erzh3hf3ALTAn8BHARcRhuOjBWUPxbbBZyKOdLWejSwsinhY3EPcD62yzIYu+5E33ERbsNyt1xaxnejY81v3tavsT4UPSYX/T0vFjxBaMcH0HeQhmJJHX8EXsKueyYsctViXs4UmkNKt/DpEOEfWBbqAvthu9wjsZ2lboREVB2KmkpQFahJ9gGeUOV5bPJrgVpCon7A3sCDwC0ivK/KZSm2qTgD4yLAeBHuwiIiDctLkI0iQgOWYfRhmhMGjVVlSMJVDQKm0SzMHowtHrYC/g+YQYSh2ATxIjBclV+TiCDRFj7xbYIlDNs+bvKVCjkYuw/QHBc6L2E62k8VWFiEBk1x6z0uIhwJHEptCfUN2EL4gJinPobF9V9FleGR8hbAHLmnAiuV6IOjMLONpUgweZ4WJfkRYSrN5jnt9s323k9tTli1GxbqeSnoUMLZ0zQL9tMx5cD7AJJClnARZsMywB5a5in9aR5rZgAG0OyM3Q0zc+lW4piP5n7QABwOHNlKHY1Yws4GTJh/AjM9+snb+i//XjfgdS93sgh/xhZ9PwAr0jLz7HDgZuAz4NZamCsDCZP3lkGaRzDFqfr+dQH9AHT1GOcsCjoedJeU29bCXAB0ftATQd8DHe2mBZluLWIOeYuDHgx6F+g3mBNdqtvlvh37LegRpa4ZdEHQnUAvBH0J9BfM6fgrzLEqEfODEvVmbioAerObVBS2708AlSz7QSv9dBXQoaAPgc6ZV3uK2nYo6DjQhfJuS1G7/p+9sw6Xq7r68LsihAABgl80hAQIhASH4G4NUijFipQgxV1aCrQUCFasUCiQ4hQ+3B2Ka4FAcNdgwSGe9f2x9snsOXfk6Jy5987vefZz78ycs/c6+2xZe+kWoM8leW/ufY/yPm8O+jnon0C717gvlQlHjLEQmOdMqmM+0cddG2l+gq4P+hnosjSBGVpG/fUv0H9gjrG5B8EA3Rf0/xK+z8imLJgpa2ACU9NMj3KH7LJxEGp/olefYuZmH4J+7303DXS4a69DmbG2SrxSOAG5PVgrKk4WfbgN6BMJ7huM2cduUgDNgtkvjsLsu28H3d0t2nlEpmgD/R3opaAfYYeay0F3AV0w6eIfk4aRoOfGuL436N6gU7xNIXYEiYh94288uW4ioH1BvwUd4pjp1bGoITeBztHosViBvp6gp7txskbBtPwB9APQfkX3SwXaHgXdLuG987gxcK6bkx+Crl70M3n0tYFeAPpIneuGUScyTIV7TqEUFSYcAaWqnXYzFtD53Hucp4FtPhd3zyKhPwroMSFGvKrQgxqHTq/9oZX2GdCrQ+3cGbXdVum4pXACcnmo8hNxuzBprRKpD/tgTkQ7Jbx/GOiXoKsV+AyzgB5UbbNL0B/DMM3Alo5xeBWTlN/kDg5LUEHKmHTxj0HX16D9E9xXURKUMX1toDeDnteA930o6NWh73qBnuUYvC1oAmkmFqbwC0y6nFuouxrvfSQm0UsdljZrhhF0ZXfg6JHw/kCgE5Tli3zXVWjsjQkd5qvTr+OI4dCLOVG2Y9q8tXxKnnM94z4aCXp+A9tbBhPKVNXqZNyeL/SYBrpWRnWW7TOgV3rjYaqbq794n48qej1slexL4QRk/kC2aD4XWuByj9TSmYrbCN5yC07ijQB0Y8fArFuLoQJdGJMg5sH4nlNps0vQH++7/piKRbg4CjOvaMhGUIO2g4ihPq7wXLmaH7h21gR9Nuc2uoG+SxXJJujO3hiYgkk3dwZdC4uFXpWRJIcoO5h51BNYpI+5GzRW+mDaAsXM1VK9d1ffO2RozgV6HejBKe4f2RHWfsdwHVDnmiNBb4zaryFmcSroUu77YaSM797gvpmVBMKKFO0NwEwUG3aQ8N7XCCyqzgdZ73+UH3KngW7r1rGhWMSh1AKvVmnO0qmcZ0UYijlJfUjJWQRgeRHmUOWbwojrWBiMOaQK5pC1NMSPEqHKvc4j/0FX1yQRTsScgOZ3ZSEswyDAWSL01+ycobbHYvhOxByZksblHgwsiD3DZOAYzSBqRlqI0AM4BNguyf1qDnmNeI5ngUEizKrKDzm1sSnwLRY1ohJm9P7vjqWJXxhYxJW5RRiLrR1++QFzNOsFjM/KAViVj0VYBzgReEGEHVV5LG29dTAYy8oJ0J+E89rD8q6eVOtEABEWxZzN90hB0yjgKEoRRy5NUVee+A/wZ2rnNngW2EIjOrZryZl2M2AocLOLLrQP1hdTyNA5OEfshQVseC/vhkJR3VYS4SxtUO4b9ZyrXfS5O0VYO+r7joAzvP8FywkRONAeR4k/KjrIQAsZo1MkqBKhmwiHAQ8Ap2Le6ktgiU2WxpJdvCTCr5spiU8TYwyWyjtNoo8AUylFAJgBS97yHfauTgGu8q6dkYwSGonwByw02nrAoqRL4BNEzciiP7LENsBHqlWZ2aaAKhMxJmWNHJvZH0v2olV+9xPLjMdCT+6oyuqqLAj0wcbKX4GHsXG7uvscJHEJNsBMoMpkVY7CQjBeL8JIEfbOcX0aQ/oEPj5ewJLTgUXgSFyfe+ZLgP+kYWwcU3Y3cDM1wgg2Ae4HBorQr8Y1rwBDXJSgSFBlrCqjVDkQuA74L3bw745Fz1kzQ8Yxc4jQCzgYOK1BTY6gxAcJFt2tCJyMRau5PotEZi7CzzCYvh4q5Yz83N7lRSeiayFjdPg49i6U2eXY5ruzKu9XuW5HjInMJIZwZ4cLtbY08GqajSAUa7ldv4d+n4xJSA/ApPp3JHlHIhyNSX021Iyy4GbVH1lBBAGew+J231Y0PfUgwnHALKocmUPdiwOPY3G8J9S4bnpc8ajjqlFx8UXYGGNIc12fsh7Hrr6/YAf21VSZlKCONkphAicCi6Z5dhfa9TBVnkxaRyMgwgXAT5gkfVSlQ4gIn2DMeMV9rU79Z2FMcoCTVTkmKb2NgAi/B3ZQZaMGtCXAxRhzH+BmjI/4Oe/2K9DTA8uI/DkmeEjMnIlwIaalORM7rNyBac57U27NMA1YQ5WnUpDeQpOhQ0vsRdgWi+n6MBaHudbiNzPtYwi3UAWq/KjK02k3f62T8j70+yKYxP5qLLHP+yLMH7UtEUSEU4Gdsc0wE6be0ZlJf2SItTAp8x1FExIR/wXWyanufYFLajH1UCbNjMM0dscOmweRA7MtQm8RjsVS1+e+PmU9jl09h2Px0/9W5/J2cNLJyzCmHkxAk/bZF8YOY00HEdo8rfHTWN8dDbwlwroizBWS2L4FnO5MRirVN8BpegZ4dQ8V4Sgsj0XAHDazWRIwPX/BkZjWvRE4AVjRlZOBIVh8+GdEGCRCHxGGucNr7lBlCqZdGQqcmtS6QITNXT1nq/KOKsc4xj3YZ//pXd4Ns3BooROhQ0rsnT3aucBqwO9UeTbCPb5keBqwYCMk9nknAepsqJCtcwKWeONlTDX9MvCKKt959wygdDBYDNhUlXENI7oAiHA7cLtqWV81LUSYEcvKOH+WdvYizILZwi+rmj0z56Se01Q5LON6BfgtZnLwLHA6dvjJPJtmIyDCXMBLWFbX+yLeswhm9/sjsCZmipfq2UUYhK0TS6vyZpI68oLbg97HDi+BzfsM3iXfue9nw7SXPwFzeb9fiZlQfYYdpLpjB/tuVeqbjGlShhPKGN6MEGFLLDvwSmmk1XXaCPbjjYFtMYHgV97vgknwT8H6f37MLLVhJkwiDMHmkmAarCVU+dDtcyOA29wz3IHNnSW8MhTY0lVVTUN+JrC9+6pm5tsWOiY6nPOsCKthJjUPYFkEf4pyn+dYtBVmNzsnEbL0uYVgCPBy3Int7n0Zc1h7TaS57RubBH62zvHACpg94BBs0fodMFiEb7EN/CPMRjmQdi7bBZj6QVjq8N8WTUtUqDJBZLqdfZb2nLsA/82JqZ8L2BVztM2y3uWBczBzs11UecR9n3k2zUZBla9F2AXLPL28Kl/Uul6ELTAziNMxRmNeUj67Y3xexdaC10Qax7BEFOAMp+Sv0Q1jHv9MiTFfSS2Tt2Dr36mY70iA+TCmfhDQBixLSevejXKmHiwb6lLNbn4D09/d+cApOTP1j2HvaQow2GfqAVzbl4gwCdMkZeIYHhOrUNrPegGvi/Ak5gMklLLxKib4ehtzAH4TE54EKHOKdUz9e9gBejJ2UHwPGm921ELOKDosT9TiwsPdjsVG3zJlXX8EvTLCdX2xrIVTk4RzwxIlBeGmmj7MWLMU6sR9d6EN+4NuBfpIRwhvl3H/XAx6XNF0JKD7NNB7sgqtRikM6aY50XsC6EUZ1jcfljhtrAs7V2io1Jz67CQXwrNifH7QGUDPxPIKDMu47bNDa8HIBOMpdkx+d9+b1Ik5j+W6KAsx6EISVsys6n4Lrm+Xj4X2+VomhJ6/8DCGfp9iYSyXAt0I9Pegx2LZZR/0aM4t74yjY5JrZ1Kt/ZhS7P9c83xUaTuc1HAp0FtC7zYoe9S5149pH84E3jTjpFWyLR3CFEeEBYBP3McJkC4kogizYSfVFbW6s21/zJFlKUwaMglYW2OEORRhBeAJ7JT9Ok0ekaAjIhSuDGA5VV4qkKRcIcJ82FgaqFomnWlqhMwQUpuaOOnbi1i4xZfJeG65+t8DhmlCqa975uHAfZjq+wjMzvlEVb7PitZmgrMPfxS4XpUzQ7/1wyK1fAHsphmGH3bRVB4FVqIk7bwPGK7K5Aj3Lwc8hZm3vEqM8STCMNd2D6rsEyLMjpl07IlJ3iNpJtz69nuqmNKIcBlmLrIvJnndDIuusmLUNvKCm0NvYs+r2Lz/GPgU288/cf+vB/zGu/UqVXbOiZ7HMAl83f24yIAJYUd/Nw7eojS2oco6Wi1IQIVAFb4vxx6qrXCXnQZFnyyilAonzdRpkLEENRUTUoDuBPoVloQocXZO0O1Ab6UBSYC6cvGkXtdgKbM7nSTUe9a/gf6zaDpi0Ds7lgjqxSznsJO+TXZ1Za4NwxK4XJvi/nBmyXtABxb9Phr0zhfFNKsreN9t5b47hArZmVO2J1jCpxtBB7q1YBCm4b0edEFCCcbwko6FJN+xx5OT7o5x91bcJ0DPA/1XDn19KejuRb/zKrRFmqOUayamYcmp9s16nHjvqkPux6Crg/6EJWE7NImUnZI2fKj3bloS+05WOorE3rcNSx0OzdUZSD6XVGcP6pxyz8ekHTuo8lKaU7sIJwGTVPlrGlpbiAYnLbwHGK3KoUXTkzVEmBkLC7ia6vT44U0DT0L9JObYvjUWC/5hLNTaqWTgIOnaiiV9i1n3jNh6s6kqoxPWEXYC71ISMRG2wyKN3I45g64DbK855FwQ4a/AJsC6qvzifd8L8+dYh1JinsXcz4H2aCrwC5RFPvkGuBc4Ner7d+PxQ2BVVd4K/bYi5ju0lGacJFGEm4CrVbkxy3qzQJw56msmMOn+rdg6sr8mCKHaGRGyXMhiDb0Q6AscnJafaqG50CHCXbpB1x+4Bsss+XkGdX6OZf87CECEVTHV/s/ACurMOTRdeLghmINnCw2Amsp9W2C4Y6w6DRzTfBHwbJMy9f0wNftFWCKkzTHnswVU2VKVc7E5nCZR2HS4+bgmFvUjaxO3XYEXkzL1DuGEWF0tAcz/sPd9ELAbsE1OTP0umAP1Fj5TD6CWGO0m2mfY9J1Yu2NOvNO8W+cAdsCSGg6NQocbfy9QOjgE9HUHLgSOypqpd5gVcsvmnApx5qiWwjK+oxameBgWNOFhEYYkDf3YyeCHgc0iJG5PLMNvi6nvZOgQjD1MZ+53w+wJz8pokl8GHCTCM9hGfLgqfwhvECkwBLP/baFBcJvncOBkEc7oDJuBZxu5I7B+kz7TRhiTFOBWVa7zN3NNFke+KlIeuitChCWwaCVXpKlHS/kZvsMSwHS1zXNE6PM2WVbuYrafjmWX/pVWj8JzE6UD1jTMxn0m7/fxwBlYqMBzoF3ui4OJjpdpH0HpD5iwKNV4qoHZaFLGHpLPUXf9NpjU/iVMYPBuk659jcIdlA6gE4ghLKgSk382KPf1aXTs/hbyQYdh7B3mwmKVH0TKSe7ufQRb5FfGpDSZSdedg+6cmEq/hcbiR0ySdRidYzMYjklowCSNf5EM0o5njNsxMznooBJqZw7wBjA7cI1USQoUFY6Zf4f2YQi7Avzwo5kmR5JSptrDMROab6tdq+UJ8BbGTDzODn4G1nfX/Iwx4YuFqjib6PgC2CUYNy4e+UjgONV8Qjhi61yndMRWZRrlDqNNn1gyZ8b4J2xvm4odQCOF+na0PIvxO495tLUB23jjNQgY8BjwlAgHBHtni+HvWOhojP1wSp7caSf5cMzeN4BgNn5ZYRkspvG0ule2kDWGU2KmGr4Z5LAI+mYdk7Cx9Y4IhzTLQuuYo0UxqeXIDiqhvsT7vxvw5wz691OInj25M8DF/z8WiwR0MtknwPHnd91MtZ6mKPwuhFLWTd88B8zc87fA9uEDnliG674iDBZhYxF+L8KZmKZnaeBtET4FRmMHj7vzEC64OuelfB/LBVKeMbeR8Nc+hea1t3drxWuUGOOqa0fC/hyM5b7oDgzExlrU+5bEeKdBwNIirIT5QW2HZT1eGdtX5nD1L40lAX3Xjf/HaH8waKFJ0SGcZwO4SfAhNkDTZij0HXIh4wxsIuyLJUvaK4v6WoiOLMdJgrYDh7GlyDBjYYXwZythGokNMIb0H45xKRQiLIVlUF0yJ5viXCDC0ZiZRj9KAo9pmBYv8TsU4XzgDVX+kQWdHQEiXAt8osrhOdWfeH6LcBfmaCt4a34oFOAELFTmFu42xRjM2bBkg/NjCY4+9cpAzC48wH8xp90AmTpPV6A3VQjoOm0NxUJo9qCArMje2jcW0/wcqMp1jWo/KkJhT8ECBpwIPOJrbDyN0wzE6M+kAQPc+/NDQL+FWT74B9lfHD31kpbGDvvdQuPRoST2bvCfiE2YVIuL55D7AOY0m7VUaVVg5k5gBtLh4N7tbZgPRUM3IUw6shSedCSLSsP26ao8p8r2WNzuGYFXRLhMJNssqQnofA24EZPYdgiIcCSwO+botwRwORbnuRvp3+GnGDPY1BBhoSwksiL8BsuImtv7d3NgX5yzagymfjjGgA8hpEkImez0xw7l02/FmPu/Ar8C5lVlVlUGqbKBKrtiDryBdnYa8CfydZ72zfNmJAetpJMqH4k5QgcMX2/Mubxh8Na+u4ANMR+73RtJQ0SMwXIgTMIEAncD/wRedWYts7n5dQUJNMopAgZsH/r8JDZH/fE6FLi5wr3jsTkz2j3X69gzttDMKDreZtwCeiLosRnWtziWXbZHhnW2EcowWHS/dbUC+jro0ALa7QP6AQmzFadodw4so/JnLmb6+nnEgY5IyzwuFnVTx2138/R60HdBFwi9w8T5K0JtHAn6Cjll08yoHxb0YriPT7pegc6NZdVNnFGWiNlfQdcCfSxGvTO7eblBxOu39/okUjZUQllkqZNBO+U78/MkTMiyDfcc/wCd4vVBUKaAjsMyxxa1viyOZS4eieWjaZq5RShOPpZjYW3Qa0G/9fgCf2xdRpVMzRm+Tz9D8QDve3+8HhWi7fhgXIWfq1WauxROQGyC0QtB98m4zmdBN86wvv1CEyR1Qq1WidX/s7hNr2dB7V8GemYRiyBoL9DdQV/DkkLtVEQ/gB4NelPRY6EGfW0e49KOmc1iI6u2oca4PxKTm0FfHBNar24FnS1BPf8HenoKOoIDVd1DMZaA6o0Y9V4N+p+I1wvoU6CH+YxPsxU3hl8kwwRVtE/W5ZeJWGKjZUBfBr0BdI6Y7zf1eAbtjgn4Yh28ii5YUim/Py/FDimPuPG5JHZYyfxZXN3fgu5FKFmbd821WILH/1CAUKxVsisdyhTHYUFgaMYmLlcDIzJ0DppCSc3V4SKEdAIP+GUxx+UoqeQzfVYRBLOtvVgbnIYcQJWJqvwbMwk6Bgs7+K4Ih4kwsIEOcGcDy4uwdgPaSoJdKIXnbGfKoClDabqoRZdTiujRjRjO+W48Po3Z7L6aNkJPHXyPRdoAi2w0AXMAPVosKVpdiPBbzPnuuBR0BGZsUUygz0mzbgAAIABJREFUvgTmiUBXH8w+fEdgmYjzfGvMROIsdbHVI9zTcKiZD90HzJdhtXtQGrMBJmD+PP1UGa3KK1gkuY+B0SKsV6tCEXo6+/NXMRvxRA6Yzml5U8wEazfvp1hzKwky2if+Q7l51p/UkpltAtMTZh4NvBl3vjuzqcNdabe+q/IGZsZ8ARVCh4owP+ZIuxnwa2x+tdBRUfTJIk5xEopAmpCZiQvoEO8Unbpe0JtBDyInNWzOfdzHSXsbakqS8TMcCHpBnWtmBt0BUytPzupZnQTmEwpSU1ehaQU3JoMxPgF0kQa0uwPo8+SoZk5B2znklFIddCCmBXyYctX76jHqGObRl7m5Rait8zC1+/T1yknEr8NMaw4GnbHG/fNg5oyrpKQjkNhPA32z1nwE7eb6p6Y2KtSPE0FXrXN9T9C3QDcqeoxG7LPfg16RYX1neWNuGmbeV3XcgW4E+inoxaCngS7l1ps9Me36s6A/g77vzYW676FCOyuBPoSZWG6FaRaC+iJL7EmgNQCdDfR70Elp9wmqmGeBXuT1u4Ke5P02FPRyqkjRXZ0TvHsraSC7gd4eamOE9/ueod/eAP0daO8kfdYqxZbCCYhFbPvBl4mJS5b1eovA7EX3V0L6h7kFTN2GGGsBjtHO7HktFqA3gt4VXuwxG+DdMVODH0Cfo2SOEXuzqdL2/qD/Lvo9VqArPMZ/Ab0NdB/Qfjm1KaDPgO5c9POH6JoJ9CvQ1Sptsimfd3dX9/7uc2DHehbofUQ85LjN9KM81rsKbT0HukaV34aC3oIdVv8AOkOFZ74B9NSMaOmDmSbsGOHaL0EPr/X+iOkv4ebD/UWP0Rj9tRrosxnVtS52kFvNMZJjQWeNcN+KoXH6JmaOeCDo6phpZNz3EDCTQ7ED5qduDevhXTMAs7XfM8bYepWYghxHR+JDScQ27qXcBGpbjGE/IdS324D+yfXFSHffD6FrAjOfGVwd+2FM/bMY099OmEG5z8Yvbh27GxN8fUUGh5pWaVwpnIBYxJafTLOU2GemCQDdFfSWovsqBf3BAjwJY3qXyamNr1yff+36bL4M6u2OSZCCxW0q6HqYreyjoN9hzpI7gfaNu9lEpOFW0O2Lfo8V6Aov3EuB7gh6BcYgvY75BWwIughV7DATtLu625T3zWq+1hlXURwv9wS9PeO258AY3JdBB1f4vQdmt31AjDoHUDpkJ3ZqrdPGjG48zFTnupUxp+z3QXdzz9MG+i9Mwl1Vop+ApnNBD6lzTeQABUT0l8AY0LGgy+c5TjN+f3NijF0qDSHovG6ebuh9dwno2RHuHemtuWXS5oTvoQ/oGPd+p4D+BXTmKtfuB3plBBq7u/UtoDEyg+7o+ZSctNiga2IHlMGYEGCE2xd9jV24TME0JMNBl6XEsAfP9l9MMDDZu34Rajh0V/oN047keqhplexL4QTEJtgG38egv8643rcxJ7K0Zjh304SMXcxnCBbgY0EfSLtpVKg/rBV4BPQbTP13IRaRIixN2DP03TxY5JdDQP+NmXz8jDkI+QvgT5iac7NKzEfUzSbic/XEtDVzF/0Oq9BXTQ3cDZO6HYtJ2H2pftr54Dup5hYhyr3HN11bVTdfTMI8hojRUSK2vZ5bk86sNMa86wZgB9pBMfpuouu7vBj7VUFfiHH9mm6+vu3N4ayjshxGHYaSjLW3bvxcDHpd1n2cd8EO5vOnuL876IOgJ4S+nxP0C9Dl6tzvm8UoKZ0/iWE+BTqfW/NrzbuhmLT6cUyAEVuQgzkMjyOCBiPms86PHZb3DX1/fGh8Vyq+KU0b5px7aDAXQU9OO0fIQfjVKvmXwglIRLSFkLuUDE05MBXd0inrmMsxdhWlCx2tYFK550H3yLjedouF21yWxex5b6HE6F9B+0PA524xfwQLy7aXY1D6YAcDfzGraWuf8XOtCfq/ot9bymfImmHKxXyuQjs+MzANO/C1O5CCboAx9qkPq5iq+zRMmhcpqpYbq/8jZNJS4bolHSOSa99hvkCx5gh2OPp7XrSB/gb05jrXZKllDSTEivkXNYx5IQP7ZUwTdEbSPsAk4g+Bdq/w2wjQp6ljQoYx9ydjTGpFs66YfRLHbOdh0C0rfD8TFg7zS/cc3UghyMHC1iYO5Vqhvjaq+PnQXsN6HSbI+qXS9TXqj3x9nffRCnXZgUrhBCQi2ja9KWRo9wU6GnTZlHXsDXpt0f2TcV8vg0kZF8y43pqLBSVG/9oQA3E2Fne7ImNGebi2aTQwDBro30BHFv3OUj7DJlkxTK6+XMznqoyngBl4D5PeP0jIrAKzNY1kk1vnmY7DzG5uJYaGBmOK7wD9W5XfV8Z8RL7EDg0VbWIz7LdrQHdL2AepmYYqda+EMdpVQ/+5fpyA2cSnHaO+BrFh5gZuzL5PCud9yk2SJrlniXxoxQ66n1LFFBJjhp8APYBoZm77kIEpahxm0rV5dei7jbD8FNeAzpvR+zopy/Wd9g6zI0K/VzKNiZUbIe71rdI5SuEEJCI6B2cWTIq2Yso6HgbdquC+aWe2kkGdf3EMUcMjvSRhIDDmXhvJ1Lt2nwZdr8j3n8EznIzZOGfpVHosJhFshI19oLnpgR20PwO9ErMvHe4Y5cTRW9x4DJjtSUmeCTMf+Bz0twHz6hiRhzBb2wNxWr+8N2bH/EQyDarSF5nThh1uAmanYsQTzBRvXIbjpqHmBpj51quUDtGJ9jHaa8S+wRydrwLdw42takKQNjc/aq5Zbk5NJoIgDZOSfwm6RN59GBoL32EH4ZXcfH8fdNMcxuVrKcbYMPc+9sQ0imOJKfQgAw1Pq3T+UjgBiYjOx+nx6SQLq3f//NSx9WtAv/jSm8zsXjGTg1cwB8hMDw0xnisWAwGqDaZxDsyJrVdR7z+j53gddOWM6xwFundBz9MH9K+YfazPACVKwFKBkUpkgoJJGf163gLdmQYmE8OiRH1Pk4UjxXxm/L5pJyXFQiq+lPE4yd3cAPNluQ/0HSxUZap9jAqCD8c87uGY+08qMfqgS2CHyLMitBFLkObm278aOF4CQU5QLiEHc1hMe/EZMTJqu/dxAJb1eJLXj9OwwAKR9zaP72lFqGmVmqUjJqhCLWnMmsDawJqaTSKgKUCPFPdvC9yqyoQMaEmK82D6O+0FPOsSEs2UtEKXcGkx4HHgfCokt8gbqoxVZZRaQpa6CGhrJI3AesDjqkxsYJuZQoRBMD2hT5YYAryccZ2RoJZo6njgmdBPD4pwsQh7i7CiCL38H13Cl0rJvO7A1gpIl3xu4dDnG1S5UiMkVcsQKwHPqU5PptcwiDB7jYQ/0wD1Pu8owgiX9CvAQliCpEygKROS1YMIS4pwPXArcBMwSJVLSbmPuTVxMSyx1GJurXxHlUtU+R3WT+sA//X+fga8gY3BAyMkQxoDvAJMwpIovVrn+vOB34pwaIPW4BGhz1+o8nPWjbh5cjuwRZTr3bO/B5wLLAL0pLQ/C3Coq3eUKmPDa477fKAI24nwZ+BuYKirp14Ctxa6MDokYw+5LMRToGzjiIvtgWszoiU2RDgEy7gaHCzGY9kCtwA+FGGkCAtFrKuvCL8R4WLgA+BeyheR3oQydTYL3KL4gfvYyAPIhsD9DWorL/wauDlLRk+E7lg20TFZ1ZmABgH6hr4+CHgJWAX4N/CtCP8T4V8iHA68T4VDrJayfV6EY6QSkjWKUnbqaY6GRmMV2h94codj5t+nQhZSd8DaAtgAOBkYCPwO2AHLyLmHY/CXA+bPOSNvaoiwkAiXYM/6PDBQlQuDA1wW+1gtwYcT4IUZfX+dqpu1NYEgrTsmIPg7jVmD/bmkwKU5tnUbsGXEa4djWa2rYWvgfcfAtwHvYuvKhyLcgh3AzgGuwTLTXgi8RvQDVgtdFUWrDJqlgN6PF8M35r0rOzOMhQqifT/MYXChSqo9p6o8B7O/vM6pAAdQsu/t7tTQx4M+CfojFrbzYCwDpVRS+Rb9zqr0RUOisITaFKdqTRVVqeiCJSrK1EfAqfzfLfi5dgJ9EXR5LJpWOzMczDZ4GJZY6onQGPo7zkTGzYNvyCA6BgX5gnjPMQZ01wLa9p1Vp4Ku6/22LehDVe5bw63TfuKuyFlHG/h8AzAn/1GYCdjJoH2Lpsuj7xpKtv2Z919Ba/AAzNzoI+rkZEjZzoxurz+7Xr+5OTYp1BeVynmYo7//3ZOV+pBWhJpWiVAKJ6BZimNkIzvbYMlMhmIZ2iIlSsmJ7j0xW8lFI1w7K+aY90Fo0RiH2dCfgSUoqugnQAfwsA8dQDKNr12jzYFYZImGOxdn+AzLYwe6rKMfbUud0IU5P1dfzEktst9AaAxNwg48XzuGKNioM5nroFpAn/jPl0t8/Drt+z5S49wBo7/77V7qZJ3FQuD669dlzTL3MKdYn7bMwiNmRF9/N5ZXxKK8ZH4oKmIN9tq+DvSvOda/vPdu6x6KHI8wMTQmwmUqFrDAd6QdSgcQpLVKc5YOa4qTA2YARgSqXRFEhDlFWEWEHUU4ToTLRXhchM+BLzEV2QGUTJoaaqIiwq7A8cD6qrxf73pVflDlXNqbDF2lyjKqHK7K/VrFT0Bj2roXAS3ZnN4O8WkVYYAzW4qj4t8QuE+1zC44NUToU8MOuZYdeNx22oBngVmAtzJWnae2rxdhtlr9UAenADep8mzUG7TcbnkRVVbCTD+6UTLXa1pztAgYjtEPZirQ0OfQctOOfpiJwZMiHAysAYyuU8UJlJterA68LcLxIiwG2c2NKBChmwgbi3AHtu74+EPe7cfE8cB5qjyvyjGqvJN1A978eQJ4EZg56zZq4HBgfxH6Z12xCGsAD3lfRTFjGo2N8T95X08DngzVMxpYlJKvxGhCvhNp6W+hC6Hok0UzFNp71b+Mhc/6DguDeR2mTt0ddG3QBXCRJCjIRAV0ByclXjLh8+amim2GgkXNeDuOJM9J3v0Y+Ls6ydYALAtjpQQubZiZx75Z0e7q7YNpVqa4v9th2pTVsPj+q5FRfHjaq87/6D1bqihIWJz3bVLcPw8mVY4d69v10aegs2X0TjKf66Ca5bhJ8ByTm0EaCPq7mJLQATiJM2YKt6KTen6JZU/OVLNSof/2BF0c04C+6cbmCNDBlEc++dpdU7hGATOr/DKr+RDh/RSyx4D+EfTWiNfWDR+Jhc79K6b52zP0fiM9F2bqN56S+WuHMG1tlY5ZCiegGYqbbD5jcymWRTbSYkyDTVRAt3GLzOAUdVyPmR91OqbePZ+Afgy6VIRrB4KegB3k/HHwPugLmP/Ct25B/wEzfRqN2UFOcddmatLgNpug7qmgj4I+4Np8CUv13s4GM2FbfhKpYMM6PQvmyPVh5PBwdfohcqxv0J6Yedl2GY+rTOc6qGZJX8znOA4L39ejCBpC9IST9ZyUsJ6eWDbqTOZGlX7z58qtmO2/eNf4h47+br5eTcEZyTEB1VENauuU0Ds4B8+vK+e2e2FCnRG12sOY+leoIjRw7/oo7KB4XzDn3XPcC3pXDJpWBn2xQv1NbdraKh2zFE5AMxQ6kAQbdAvH1KXNkvsW6JCinyfnvjoP9E9VfuuLJTB6wvXnWa5vq44DLI7x7KD9QJfDfBLyYiBq5mqgPFHSVNKncT8n9CwfhD4/C7oXzhY6Yp2zgf5EBU1Hgn6YivkAnBllfoIeCXoPTSAprUFjm+vbwjZ20KdANy+4H7phfgyZrMGUS0OnpZ0bXr3DsAN9rDmPSWuvwDTBhewtmJZvbCMOF5hQxfeDmIb5UsR6v1TRGFb73htL82GCmpoaIGrE53dtTHa/TQKdP3RvH/dMC0fskz1BLyvi3bdK1yuFE9AsBfRvjnlpZqZ+U0yVmjZDbpCpLzHD1REKli79Ge9zT9Bfgf4flpjneiwbaU/vmrtAb4qx8eSmTqVOBARKEp8jQb/CEt4kYmRBlwlthMMod7A8CIs6MRbTYFyMmQfNXaPO1f3+T9kPvw0xCjuBzl7l+n6YCUTkQ0gBY7ONklPdZNCjQXcB3RrLQrsa6BBM4juPYw7FuzeTRHGYeeE9WdWXkIZ9ME3UQDJy6PTmxoGYOVbS7LoCujHofzHt09FJ5ryrZ1+3fm9OgzOIgt4GemCD2joB03QuR0lzcZU3f9X15+agC/rj2ft/C0qaukmgh7n1ZgdKmsRJmPDmGtDH3PuZiAlqxobau55Q8jfQtdzcayc8waLe1DzAYcKgU0PfVXyvWISk64qaY63StUrhBDRLwaJ33Fg0HTXo28BtComz43p1bQl6T9HPFJPmKLaQZapejJH/DvQ/bmH9HJNQ/oEq4efcBrF2DLqaQp2K2faOcc8a24YWs79912esKj2bY1CWxhj927ED0ouY6c7GeKHmMDX2o1n0De3N5T7GJPjvuk37j679pTGp6slFj9k6zxP2a3gYk3LehKn9n8QkvO+5ef8LJVOw4J7Uh0ns4BDUV0SEnAWwQ2luoWKxA9OnRDDLc9e3YdqpvTAGdQzmA+CHPE00590a9olbixqSQRR0FTdfcs2K7tboczBt8Dyh33w/tmmgF2AHyq+876dS7uPkz49H3TwfE/r+Rvdu1gZdLHhG155vC/8sxvCfiUUuOgZj/o8lJDzBDtXjqOPD5ObOOErR5Ea6e8pMeyhp5nIRALVKq4RL4QQ0S8EkBO8026Rzi8JpbgFZM6M6TwM9ruhni0FvH8fkTHVMzt8wSdyuoFuBrku5Gc00jEl6LLSZ1M1TgNlmLl70Myfsp96g/8SYwVgHQNDNSHDYww5Pq2M5EB7FTG8exmxsA4lbFgyozxhMpZR/YUnQHd3m+nhH2UBJoO3BnPiOCjE2qcy/aH/A+BGLqX0mxhAPBZ2hwn2ZSJxBbwY9oQH9vTPmT1CTucc0V4EJxlS3xnTLmJbNvLUqst9IivbuB90r5zb6UMov8GqlcYHZs4/C08hUGH9+aefjE2fe4Pk6uM8DaS+Jn4bTgLu6j8cOG5tQ5wAXWpMUE3QEY2f6e8UOiJnN2VZplXqlBy0E4f7+D+gFvCdCf22C8FKOrvcxuiZCZqHJVgeOy6iuRmAwsCQWFmwOYEFgdmA2V2Z3v4u7XrBMfZ96dQiWUr1edtj5gM8zoruhUGU8sK8IvwZuFeFs4DRVpka4vR+ljL1x2pyMhbV7AvirCLMAawEHYxkooRQaclTc+j28B3wLXIGF6wvmwhuuXCPCntjYzqrN3KCWQn4xjMa7oqw3qkwR4QssXF43LLv0XSlJucPV09v9XRNow1LXbwocDSwqwltYSL7RwFvASGBx4DWRSNlI28GN00FYVtlcocqVIijwgAgbqpaydoowM7AVluF2LZi+L3YDemiGmZgdHsNCwA4i5wyiIuwIrICFZc4Tg4EF3P8DsEzlT4eumQD8S8tDbIbHn2AhWMcDw4AV8eZHnHnj2jnG+/y2SLu+FuBxEcYCC2PvfBIw2tVda/0YEfr8OfYuw+91DKCurSzmbAst1EbRJ4ukJSuJkaur4ZnyItK1T9Z0YREDfs6i3xr8rqs6krpr9vf6KZDo+urYKCH0ZnFSoKZ1uIzRZwuBPuKkr8tSx4Ya0+IcnWH7mfofYKZC7zWyzWYrtHfoa5dBN0W9tSSTvbFwkntgEWde9OZaIokz5lj9CRlpIWO0uyNmkjEK80m5EjPXuxOz3+7fiDFEzhlEMU2aLymeCnphvTUw5fPUW6OfrjRW/PFXbyxmQKcfdCDol4FYhKhYe21ofwmk//tgJoEDKPkN7I1pnA/tbGtSqzRncc5YHQsuUc1rwPzAK5BMYuTV1wa8i0kNFDhElXOyoDUNHF2fUJLOpU5UIcJqmMRz+QxIbBjcO18aeLXSuxbhGmxM9AYuVScVcommfu9/V6ONAViiqcyTmxQBEboDJwNHUJIWVRxDIvwfcKMq12XYfhsxJNJ16todS8S2U6PabDY4jcRF3ld7qDZeI+Hm4mOUJJOx1l93/+XAd6rsng+VVdseQnkCrBOA81X50rumQ44hEQRYHtgF04JMxLSbPhTYGuuDccCPquWJ9dzzDwfuiPP8EdboJ4EjVHki8kPlAPd8uwHz4rR/IR4g8l4rwoXA3t5XH2Ba5T7Ymhto14hTbwstpEFHNcUZjDH13bDNpZLaLzK0XL33DnCDCA+o5qcijUHXucBAYM+MFoTVoNiFNQncRlHxHYswA2Y2cKhquRmNhtSxdTAfdJ5FV5WpIrxDyUSplnnKQGCICI9mtfFofVV2HKxGebbGRrTZbPDNFqZSkEpflR9FWJMaTFw1OObvBcxcY4wIfdIIZWK0OxuwP+UZQMFMbb70v2jWMeT6bjAwxu8zERYEdsIY+hmBKzEzFgHehLIM8wJcgDH9cwIzivANxuSPA34CNnL3jBeJzojWWqMdpoZoKQTueUaGv4trGucOA4t7X03DspCvB/zLfec/b1ObB7bQeVD4JEuIMcAUYDIZ2SiqMlaVUao8gkk4r3f2wkXjPqB3hqf89YBejUi13kCsC7weZuoToI0Oal9fAwEzCFWYQREWBpbFmJ53m3RsDAOeKpqIIuHWgMWA/TD/kaEF0vKjKk8nYMoHA4u6/xfHDgexIcJsIqzlmN1q1wwQ4SwR/oFJY5fAbOkDm/lpwKVJ2m80PC3148BzIpwrwuEiPIDZ6/cH9gIGqPIXVd51Qo0lKH/GaZiGpZ8qfYBZsLm/LSYAeY8SXxAwollhGiW/m6aDxwNEZeo/wvaeicDZwBKuz2+ntOZOcAVa9vUtNAgdVWI/GyZZ+BUxJUZRoMplIqwD/FuE+4mpkswYTwMri9BDlSlpKnKL0abu4+/iSGOaHL8Gbs6gng7rOFsNniRqG+DPwCK010ps7P3fGzhFhKObZWyI0BdzbHu5aFqKhnsn/3TOrKNEWEaVH4qmKwbGuJLYcdQxua9jphSvVHLedWZ1b3tfra/KQ+63JYhonpeQtnZS9QwwGHvebhizvoT7/gBguOp05jGML4A1MBOcL4GN/WdWZSK2Hox19L8N7I5J/ieSLSPaUIl9ju8C4O+U+Kdero13oL30313T4Uy7Wui46KgS+9WBxxNKjKLiBEyKcREFSjFV+Rb4GFgmg+o29/7PWhpTCEToBmwJ3JJBdZ3KFCeAk0SdBxwOnO9s7334Un0wlf77TiLYDNL7VYDn0x5sOxNUeQDT5p1aNC1x4NbrNYG1Se4bNRiYC9u/liYk9Xe25leF7lnfo+EdVY7Jial/EngEeKyWNiEBxmAS+3CEq7YaTD2UNCQC9MXW/apwjGd/4AbgwYwZ0Vwl9iK0ibCn+5v5u3AaoFNEuBSL1jPR/dROEu9L/+NoAlpoIQt0aMY+5zbW9/4vmgl+EjNFSIvbKamhO4tacBVgnGqZdC4pFgUGNgkzWxX+Bhbz1quBn4E9/S89E48rvK97AafTHKY5kezruyAOB4aLsG7RhMRBCjOeAAGTO9l9/iX4wR1a/4WNXz9M5RLOFydPDAaWAnpS8v3KBN6B6Erv6yimRGMwrcgkImpI3HqwC7CMyPTwsVmgO/CrPNYTLzT0RVjAiY+w95HJu3AaoDeBozDH2+2x/WIPWg6xLTQZOhxj7ybwFljs6jzhSzGzVknGxVMYc5MKbvG5HzifzrMYbUUGZjhuXG2HbWjNwMyWQYTeIqwiwlGYBie2JslFv9gfOEmEs91mFfw2FotZPj50W9GHWuhg9vUi9BFhWMYS23ZQ5XtgH+ASF4u9S8BjctfC/EJGiTCDY9yvxhxz18LMVU4GhmBmE/eJMEeOpP2ImbxEZqLjwD33EGBX7LmWqKd1SKohUcuJcSxwmtOApIJbp9YGDiKf9XU4dpgD42tOxSL/pH4XIvQCzqOcX9qmJYlvoVnRoRh7txi8h9kJX58n8+VJMW8Absl68saUuj5JBoy9wxeYSjYSUkiHc4fbcH5NNmY4w8nPaSwyXH/vL8IWIhwowmUivIxFrLjA0RlO/BQHv2Dh2A4C3hThGNfmrJgp0omh6ws91DoJ7MqkiHrVSEgpFGQe5hjtoMod2PoQfm+dGoHUHzgDcyS+GJPizwls5n4PTG5ewXxMngeecoeuPNa0vYBzSWdmVBUiLIXN0avjmBKl0JBchTnXbhXzvko4lPbRubLExzA9bOd4LJxqKpMvd1jcG0vI1surHyzMdgstNCeKDqQfp9A+kdQ1oN1zbnNO0G9B58mwzjZK6bIngC4P2rPG9d1AvwE9N02CEcoT3NRNvkJ5wp/xzZZcA3RpLI156oRSocQlE4p4VtDVQolTLndjfnnQXmnfCeisoE+F5lCQWOVnl0TlzdBvZxf8joeAvln0WItB7zBvbidK3pSgzTlBPwNdrejnL6jPVwjNm6prJOgRbrzHWQNrJnfz3sE3oPPn+Jwng57e4L7dxK0JVfenCHX0AH3VzYfME3+Bdgd9DvQAMkhuBbqIW3s/Ar0nmMNY0qmTQHfFkpz9oUYdmSXQbJVWiVs6WlQcP47zRMzG7UkR9lTNJ2KGKuNEuAGzSz4pbX1OynwmZvsHJgl4AJhFhHGYfeCnXvkEkxT0xSIg7CdSXwVbBcMpefL3Bj6T6ErWGbEwa9cC9wCPqU53HioKW2HalNRZ1tQiGfTH1M8bAd+nrTMORNgE+D/vq27AoxpKQKSliAtPEzG3gZN674ZJdZ+gPGkKmCTtQFVGOfOctyglVzkv8UNlg3WBtyXDeOc5R8sI7L+HkoM5RiW4NeoA4HIRziQHDWOT4zfe/92wiDfVcld8R7nk+CMRfsR8T35yf4MyBZMsdwcmi7AP8BJmy/1tsO64OTMKeECVzzJ8rulwQQJ2ojwAQiNwLyYNHwFcmLCOvbCIPBuQcXQYp3U5DXMqPi/tXuD8VR5yHycCqwS0qpcTRYQngFtFWBY4BzPhHIWFVR2M8SoLUiVqUwst5IqiTxZxC+Xpp7thac6/dNKM3jm1OQRLf55XayoAAAAgAElEQVRGajEA9CzQ+7CU2xN86YWTaiwIugro1k76cAroVaAfhKSoJ6Xou8jp0itcvymWevsp0B9AbwfdD7R/QePgA9Btcqj7P6BnNug5BPQoJ3HdIur7ceNokwj1rwn6P9AnQFfyxuLZ4THo3TMSS/+eS/r5GH3Tx0lBp1AlTX2COmcD/RiTqmdSZxW6tZHSOjcfpnjvcygRJM2dobjxHEjh60nsw2vaIpi0fWHQQaArga4D+ivQf4XW3RfcmPnerX8vgz7g/T4trznjaBpdUP+ugEmoD4g7nkDncPvzkBzoavPWsFRaVlfXBe69+u98RI17ZgW9P3T9l6BfuXHYMK1dq7SKXwonIJOHQOcDvQ70bdD1cmrjv6C/jXBdoLpdFHQxx1gdGFr8B+EdUCLUGXnjikhfZHVltevdZrgd6GWgn4O+hZkKbQY6DzmqIUMLeqZqXe/ZPgNdM+dxOxN2iHgedKE47wf0atDf1Rh/K7o58RHoDlQwV6rxbncAvTbPZ4/YP8Oy3iDzqLNKO9rgvgqbKUY2N+kMBXQD0O+irI0x5lhVQQjo7KDLgt4Y6vdEQpcINI8CPaLBfdoPdDe3jmjc8eT67yHQS3OiLzzm90hYT1toTYgj/LomRMN52MH+JVdXLsKDVmmVWqVwAjJ9GHRzx8hcCjpnxnVvA/p4ld96gq4N+o/QJP8Ak5S+nnbxx6S6o6NsXAX0eze3yf0R9HG3SGYmZa3QXnhBrypVSdHGlqDvgs6cU5/1A30R9AoSaJrcGL8fdHHQuUCXxCT+E71+OR10pgR1rw36aIzrc7EnzWODdHW+4hjf9/LadEE1j3prtOczoZO8MZDL/Gi24tag70DnzqFfqx4CMKFL0M+phC41aOiNaa4WyHHsBMKAXd3a8j4msLkW9Mq444ly4Usu/lmhMT+VmFpWd/8+mGDFf75Da71z7/7dQL+mgtDNrTOr5rW+tEqr1CqFE5D5A9mEOht0LOiO3qKV1qGmB+inoP92i3kb6O6g12POtc9jpintFkAykLhjB4ubiu7fCHTm7jwIurLXx7lJJDGm+7yM62wDPQNT2R5CAsffEDOhbtN/CzuIpGboQAeCvhPx2oD5nkwOB7k8NkhX596YeUFezJLGGA+ZmMx4TOhQSge8iaBD83jGZiuYWcxmDW5zHtCfMEltXmY4vwW9P6e6/YAK00BvdczuksHaRA3NRY16cxe+eLSNAB0M+iHo1jHuCw4eU6M+nzdfz3Lr7ZKUnGqbTujWKl2zFE5Abg9mzN+rlFRsqRhAx7CGmanrMAnHfO6aWqrbAe67YQnb3wD0waL7NQKduashscPVmWQQAaFOO30x34pMzLtAF/I20cQ2oZgNfDsNUJINuEr9s7j7ax46MCnpnykdWjuUPSnosaAPk0NkrSiMvWPA/b6LYkYSSTsCuhxdzxxnJOhxDWyvDybZnpr1Wue95wGYLf+BOT1DJAacOpqLKtcHa9G0rNbQOm2ugNm3D45w7WGh564rpac8ctrUKO20SqsUUQonINeHM6lcFhLMNm+TDMrIGtdWXCBA7wLdKiENK4M+V3SfRqQ1NzUkZnryFejsDXqWzTBJUGzHMa+O+UGPxzQ7WYzHqhqguBtwjTa+r9bHjqH/DegY0GcxyVWHsyfFwuQ9DHpsDnVrnd99Z9egjMdskg8HXYrQwcrNq0+I4PgblWHrTAULOnAvDXIadox3cFDP7FDr3vOrofGRlznLQl4bWYehDNaiQzAH/sTBJ2K0uTPoO6B969A1Je5zd8U51Sods3SoBFUJcBtMD8k4nuSJdoZDWfY9hfIwhNN/qJ2N7hlglYQ0/ADMmvDehkLTp4yvheOBs1X5Loe6K+FFYAEs8UzkjIkiiAjru1CpY4B5sGRaQWbXxONRLezajVhItbLQp3XGXxx8Bszvf+GeaSusT44GjsTG87LklJQnT6gyFQshuK8IazWiTRG6i7ApcDelRGMAk7EweWdhifHuBj4Q4QKXrGwWYGdsLPYEBgFL12jqDlcnpFv7OhI+wELVxs7KnBBjsHCmWWeaHQwsSfn4mJF8kuYtjCVb2oOMs5EHaxFwNvA1cERWdddo80rgduBGEfaqMgb8JH8Af4743H42+il0jTnVQkdE0SeLvIs7nY8GPTRlHcEJfzLJzWk2AX2EBI6GjobPi+7Pgt/l0phddCPDCIalNHvXub4v6MGgb2Aq9D/49GYoUb8B9Dc5PveDoBu6/wVzTH8Bc/jdIixN7sgF08p8TAWHexLawIcl9pgt9tGY6cbzTooZqPXb2cG7Pl/KSe8fxOy4/XH4dr154CTYbzVCet2Ad1TXBAl0r0ZLVMnPByQwZ8zElLRGW8fTgKRXWDjRr7BworkmbsLCRlftN9D+caX13r1tbk5+AzpL3v3WKq2SpDjnmM4NETbEkkINUU2WwEKEOzGJ0ImaUKohwsJYcpOpWBKbyBJOEWYGvlJlpiRtdwY46ffTqpzRwDbbsKQjvbH39j9gC1W+CF23ArAvsDUmyfkn8GTS8RaBrvuAv6tyb07134wlM7sZ2AdLpHY8cKsq0/Jos0iIcAYmKb0JeATT9A0E7sQk5BPd7+/We6ciDMUSGS0LzIb13yau7gtUed5d10bEhD0uMdx23lcTgR9dO0EZDcwE7Ietd99hicwuA0ZpsqR2kZBn0i8RZsWkym3UWDddf36EjdvxZCyBbiRcfy6NSbrXJsOkTqF2HgVOymsdCbV1IDASm0+x9r+Y7eyJaW0C7KGWfG8RTKPTAzgcS753bZJ+FeEm4B7VsnZaaKEp0FUYe8HUpgeoTs8qF7eOB4DTVLkvBR3DgEexhWUSsLYqT0e8VzDVem/V6Sr2LgOX4e8uYIAqvzS47YABuxvYG9gV2B9YC9t4twHmxTIz/luVLxtA01PAoao8lUPdA4C3va8OAP7ZGRn6AO7Q/aH31Sfu74LedxMxM7wva5RZsENdgPewzJRXqvJtCvrOwxj2AMsCX7m/Q93fFYH+obb9zydjh5YxwNjwASUpc+4Y7zeAuciIYXNjcATwHPA3zPRIqLNuirAc8BiwbJ4Hmc4AZ971OTCvKj83oL1hwONYduBY+1/MdnxhjGLr89NYJnffpDbx4U+EjYBTgBXyEt600EJS9CiagEZAFRXhXOAgSMbYA32BdUT4AlgZuCPBghDYZA4ipk2me4bAzn5czHY7NNxCfRlwfqOZejBbUUo+FceL8DVmxxlgT+BSNZvtRqEP5GbPfkDoc1tnZuodNg59/gt2kAwYhPGY7fsPwNyYz4RfFgCWA9YN1fOoKuemIUyEfsAOmNR/e8zHZLT7+TNHJyJcTjkjHx6PGwLDgGWAbiKMgenlXeDvwBLAayKxmPOlYbotc2D7n5hhc0z9W5SYsD8D2xJh3VTlRafNWg9ajH0drAU81wim3mEMpnmJvf/FgSpjRVgME8b8iEnvv6GcqQeb15tRxV+uDh7A9uKVMd+5FlpoGnQJiT2ACDNhErlVVXk35r1tZHTa91Ssr8aVaonwAbCuKu/Hua8jw/X9B8AMNIl6XYSRmPNogJNVOabBNHyESUY/rHtxvHrbMHOxXu6raYQcdDsjQlK+6eMsjrmMqycwwwmwrMeEJ6XtRuAlVf4Ws+3NgVsxCWnZexRhHkw6H5Rh7i/E1yb2wQ4YM2LMWiKJvatnJUxCv5r308mYdDTSuumkqWcA/yCZAKZLQIQzgXGqnNTANhPvfwnbCx8SfaTaT0Q4AlhKld+nILGFFjJHZ4+KMx1O0vtvzIQiLsJRccAYgB0S0JEmYswvwG4NiPbQTBiOMfVQkrAUDV/CMw24tJGNO5X2fJh0NWsMp8TUg0WM6NRMPUzXyixGKDqIxo8y9B42T68gG6Z+I8zM5vR617q2lsW0W8uqWtQkjDEOR0/6UpWHVDlXlb0wRno0CSK8uLXsduBh4DcpmPrngAcxxs+XOD2JaSo+BGYRYc86a+AY7JDSqOg4HRXrY5LnhiHl/pcEIyjfu+/E5kgWUYAuA34twkGtMdZCM6HLSOxhuh3ti5ia/YaokzokzfMxAejfCImQo+ET7DDWFJLrRqAZJfYAItyPOSf+MSvGN4qNswirY3aqATZxnyeETYGS2EyHxvoUYOFm6O+OAhHWBk5RZVgGdc0AvAwc7pj0XJFUmurGzMdYCMGkmsxhmP1/T+xwsRNm2jQXZuoW2NdDjbXASWgvotwkag/VROYWnRYizIv5RcytypSi6ckLzjfrRfcxU+1jFuO+hRbyQJeR2DtMBmYnZkxyN1nXgHZ2xnnFFq6E4ZTeV7NIrnOH6/tDMDvGZlo4p2KOslky9S9ijn9vinCOCJeJcLsIT4nwlgjjMObHx22YE+VkESaJ8L0IX4jwofv+ceAxV39deJLrozF78g4Tl75JsDLwbEZ1HQy80wimHlJJU/244EnXpjGY422gMbjXmbc9T0niOgPl2rv3RfhAhP+JcJ8It2FO3z5T31Vi+MfFesAjnZyp7wPcgGl/vgCWz1j7uBXpx30LLWSOrsbYh5njLaPcJMIcwNW0769Gbhr3FNRuM2Aq8HLeTL0IfUQYFpEJ7kUp+VkWGAz0wzaKebCx9ihwMRaabQvMrGLt0H3rqIVA7Y451C6MRUk52H3XjfrJjMrgzE9OxQ4RuyR+oq6JlTGTklQQYQEsAdjBqSnKH37inmmUr1WR4A4Ta9I+0Zlf9wRXcN8tgzHxf8DCe4bVz3fSXMKApoDTahxNuT9GtWvbIpg+NSsGA4tgB8O+tNe4J4bzUfk9JQf1rrYnt9DE6GqMvb9JTAX2FmGhWjeIsCQmLX6I8g3mMBq7acwNvEkOGQI7AGYhZ8mxY+afxpjZKBLuXpSYjCwQRCeZ5P7+SZV/q3KbKk+o8oYqX6vyBGYPfSewWhDuUi0vxURVvlflc8x2Nm1WzHOAA0W63DqRBiuRUmLvmKibsBCZTe/fEPJPeBYToCSpp53GIFR3f1eCNfBtVd5X5TlV7sHWZF+rOgYbvwOS0NMZ4friTWAIcGytvnHj8D06rq9C5pmBRRggwkWYJuk+TJDSFffkFpoYXcrGHsqTwmAp2g8BtlctN3Fw1x2BSSyPVOXfcSNkZEz3vpgqcY9GttsMEOEvgKhyfI5t+DkGpgGbq1aXwIjwP2AvVf6XIQ2ZRoxIW5/LnfAKdkg4tbVx1YZntzxn0vCgbo35ELM1b5gPT1ZwkXnuw6KFNDwsr2NUf4+Z5ARO7U0R2cm92+EUGKmnQkSvOGior0IW/RV1DfT9kTDn9zkx/465vb+LY/wCmHZo8aLHVAstVEKXY+zDcFEnrgT+hdlvPohN4HMxjcZEYNGiN1cRrsBiYl9SJB1FQCwr6Beq9SODpGijD2bfPgj4HjNjuRhLSvZNhevHYAfCMXnRVDSkPJPnZGBl1frq+64KEYYDB6myYYo6KmbNTE1cAyHCP4DuquxbIA1hBvZDLHHYncBr2uCkQu7A8xx2YCvM0dKT2LcLgVrhWt+RfhLQr1E0i7AKFg0p92ARbu1/BZO+Bwfyb7Hkg195fwcTCsOqDQ5z3EILUdDlVexqmWS3B44FjsKkTXtT6pteNIdTzKqkSPrSwTEL8FOeDYRsfBfDQqL1Bd4S4bgKpjkzkq2NfTNiOKUkdj2Bx0V4TIQDRcoyssZGTH+GjoLUZjiUmwsqZJ9ZuAE4DthahA0LtM8Oh6Q9EfNhuQtzuj1fhM1EsrO7rgb3/M9jcwiMUd4873YrwTHxg7CxVVOL4ZlBnQGMheSZk6NChGVEuBrTEvr+cMfkuGYMBubHbPGnAmupMrcqg1RZS5WtVadnHA8OhA0Pc9xCC1HR5Rl7h41Cn317+sKdYkSYE5gXsxNMW1dHZKhyZ+yh3MZXlY/dYr4qpsF5R4TDPEYga+fZZoTPZI7HVNqnAMsDL4vwhAiHBH4qzv50ZB273Z4iDAJeILo/Q9PDMW9bY8lwEiNkU34BcEZH83FQ5VvgNOBeCrLPdgzr11iSqiVUucRpEPphB9YPMUHOFyLcKcK+IvQL7s/YadQ/IIMxhyeJcIabCw1dl1V5C2NMP4hw7VhVjsByHByYF03u2W/DBGujsTUmWHsmYQKXLzBzyazXjHBEplcqXeTG1D6YmVfhpl0ttFANXd4UB9qpJ8GiLYyjIHv6METYDDhUlQ1S1tMHkygOIEWGyEZDhFuAy1S5pUAaBgMnYFFPTsIkgA9g6thUSYiaGdX8SsRirK8PbItFl/oAizsuGONyKGbatmCozIXF/5+LUmzyyFlOmxEhk4XM7OJF6An8F7MxHpm2vkZChAuwaDUBGm2fPRfwDtC3ltmNCH0xwc5mwKaYycXDWOz8THJniLAPcB62v0zC1pDxwO6YFPhDTGI8H8Zg5r4ui/ALMJda4sYo1y+OmcYspcqXGdEgwIbAH7ED1+nAparG0If84fpR8oHKfM2IYYu/MXCYajthYAstNA1ajL2D53Q1BJMMPEOTpCMXsVTyqhybsh7fQXQqsJ4qj6anMF+I8CAwUrWxWRKr0LIicCGwgvd16gyjHRmOAb0S2M77+jXgbiypml8+xxjgwJ/hdTJiZIpyTszTLt6ZPD1HBQf/ZoXTML6K5QzpRQE25WKJwk5SZY0Y93TDzKn+THlkn8Tv0zGMrwP7Yg6Y4QNyD8wh8xRKjH/uB10RvsNs5r+Lcc/ZQC9V9knRbhtmhjQVk373BkYC16kyucZ9vg9UZmtGXIiwDvBX1XZhh1tooWnQYuxDEGFTSqY3VTekRjIRYllOz1blzpT1+IvjeIzR2kG1suqxWSDCM5hTYuFSXRE2AG7HbOwDXKbK7wsiqSkgUmZfXjcKSQ4RgArLUByS2CuwvioPZ1j/Rpg97woulGlTQ4QrMY3nqRQXRWw/YIgzp4t7bxDmcUbMaXyRJPS7ei4DvlMtO/SGr2s40yrCl8DgONJ3sXwub2ACoapBA5yQbAQwKlgDRJgV0/BdjwUmmIZpLK6MGkEq6zUjCURYFThHlVWKaL+FFqKgQ9luZoFatowiLIxJHgNUzCYnwm+BT2mA/agI3THV7TNp6wo5iC6EOUU95Oykm3ksNMTGvhZEEMcsXAXton28WOGWLgOnUj8Gmw8nE8H+VJNnOa2G4ZRnJf2LCLNnVHdNhOziDwHOE2GmDOu/D3MGvcatB00LschAw4BjnH32qIK0nkHowthw9PbHEoSNo1w7VxPe/nIE8DFm5rNFrT1CqyfnyhOTKM2XSHDRwU4E/u7mfDt4Zq1HY4EHbhfhLeAzzNQmGL/dgB5xwsLmsGYkQR9g/oIcwltoIRK6lMTeMfNjMHvGN7EQlzeoMlaEZYD7gcuBAzDmoEzyJ8KawF+xTWNur+rc7EdFWBq4RZWBOdXfH2NWfwF2VeXTPNpJAxE+xCIVfFhQ+z2x8KdrAluo8p7I9Oyu92FZL/+k2jWjJIiwB7AfsKpqMQ7Fzgci0DxNxuykh2FahNtcGYdj+PJiDhzDcxXwo2rJxly8ONlJ2nYM/X3AE6oclxW9WUKEJbAoPnuoclMB7Qda1GcxyfAfVbkxZZ2rYmNnV2AtnBTavY/+mOmmXwI7+YnA6l5VTRW2VIT3gA1UeS/mfT0xrcL/gOMxs07/+deAMqHZ7cCfMEn/3JQ0W4WF/EwKEebH/CF60AHpb6HroKsx9r6NeYDx2GIUJBqaAvwai0LzPCYt/wKLCNAfk1jcjx0MervrF85rgoswAlhHlZ3zqN+10QNzYNof2E+VG/JqKwlE+AZzXL2uAJX+nMANmMZgJ1V+qHDNElgEkH8Cp9dy1utsEGEg5lS3tiqvFUjHJpht9KU40w8RZsac87bE7HpnwkIO5uo47swOXgCOUuVGx9S/gKW3T+wcKZYA6wUsw2ofmsQHCKYz1Z/QgLjjNdr/FMokyZk4MotwCHZ4D/ASMBBztH05VN5RZWrIPKvpmEAR3gC2UuWNmPcNwCI/Bf38LjYmg+f/Hosq140KSZyqOeM3O5yvy32YuVSApjqstdDCdKhqlymgfUBfAp0Cql65KfR5GuiuoJO8z4eC9vTqagM9BPQz0B1B9wRty4Hmq0CvzqPuCm2tDPo26GWgs2ZYb1vS/gGd33svvzSiH7y2lwJ9B/RU0O51rl0AdAzoGaDdGkVjkQW0J+gzoPs3AS3HgJ5e4/fVQSe7cTQRdNWc6VkZ9GvQ80H398ZwqrZBf+3Wo4bPhzp0HRtaQ0c0uP0TQ+1nRgfoyFCdl4POFuG+NtARzfKOQrS9DDokg744qcI1A9ye+kjRz5lRX20H+qXbB35ptrnXKq0SLoUT0PAHNub+V6DjPaa90oYQaYMA3SIvxtNtDAF9E0AXBx0G2ifH/pkF9CLQ99yCNhJ0QMR7BXRG0DkcozsQdD3HzCTqH9BLimAYQDdzi/kuMe6ZA/QJ0CvwDoGdtYCeAHo3qDQBLTeC7lDj9+BQP9H9zW0OufYGVVlHXkvTNnZALoyBrkHXmZQOTg1nekD/47Wf6XrsGNWp3n4RaT0s8F0sQB1BCujzoCsm7ItgT5parS9AZwb9HnSuovsjRT/OjgnW3gRdyX3XtIe1VmmVoPgmKV0CairwO51t+WaYqc1eVS6fTCkFeLUkVfN6/wfOtlmp5zanpPLshdkpKvCKSD6mBKr8BOwlwt7Ate7ro0W4C4tkMBP2nJX+zog5ZY135Rf3ne/UGLl/xJJBbYzZqwZh83JLFubZ6C6AjYktVaNn/lTlGxE2BP4PuEWEbTVinOiOBhFWw/poOdWmMD1aATMnqwhVfnQ+MrlG1RBhHixz9ZFVLrkzZdtB0rAgUdrcIkiR78A53m+DxYFfhAabWThzuU2xbNGrYiaUK2ZFh5pN/RKYg/hwzNykKSFCPyyijwBTRNgfMxP8MDRGYjvPwvS++CdmT7+7VnGSV+VnEe7BkrZdVOmaRiCub4u3B4wDzsLm23LBOu7GU8v8poWmRpeysa8EaZ+cKsAkjAntR40NokKouw1UeSgj2vy6Jzoae9KAWMcijMQiGwS4GbNf9pn28N8Jqkyt8QzTsEXy5Yg0/AnLQHgAOdtlhkLcTQNWVp3udxG3rp7AJZgd7nC1aBKFIa3jZpX6XsIStRSWNMyjZ07gfWB2jRFlI2MahgAHYYzMDcBNGFPgryt1w4BGbCuwU34Dy6z6ATBCLeNrw+FCwJ6myvIFtX8EsIwquzSgrdOw8JdVw1cWBScIeR5Yyvv6RaANG4fPAE+7vydhITbPjLumivw/e2cdLkeRtfHfiZAECG7BEkKwkOAW3DWwuLsGdw2LBEhg0eCyuEN2sWCLE/gIbkGCQ3BYFpYFYuR8f5zqOz19Z+bOtM3MvfU+Tz937kx3VXV3dfWpU+95D3cAD6hyaxv7bY2pRN1EHeJBao1tibwDFNhVldvyaKuHR6qo95JBI2wYP7fUsvlk0KWrOD5YnjsA9DvQTdpaCq2hbUHZ/XKmElS15FrjOZwD+nmV13QejKO8cE59YP80KQ6gnUDPBX0HdP48zqFMO3qCvudoCqn0G9DrQa+p1zmVaM8G1IHP6+7x5qBPgH7lxpE5Q7/3Az0Lo/5NzoLCAdoN9ELQz0BXq9P1vw300DrV3RmjDa6cU309HDVj63qcb4V2TQ/6GOgoIjxwjCK5IOh2WAzQ2NA4F4ce+SroSlXs1ydJPSlck0EUKFSTaSO2hQalufnNb7VudW9AI2xu8Ps98lAH29RqDNFQWbuSUXCbM9JWydqoD9W3PuhPaRokGG//B9DN29jvKtDzczpPAb029BJI7b6BHuuMrtXJKMC6jfoHkWLQKOi2WEDxjHmeRxttOh70ghzq6emuZy/QQ7FA85dBdwGdro1jv8vy3rsJxregJ1Ei0JsEAext1Dsr6M+gs9fp3m+G8cVzi/MAXRUTTajLOZdoz/Sgj4Pe7CY6FXngSQxY9wz8BrpAFftG67mhUv9Lu49SiKuZ4rad29h/iaze3X7zW55bh6fiBHDLcDti6a27RX6uOvugtE4vf5QqF6bW0BzhdHtfVU03GYcIK2NUhfOBC1WL+cFOk/xJjLaQOb1AhFMwCsX2mFZ9qpQfEQ7H+JpC/llRewLPAwMxObrVNZ7UYi9gF+B4YHNtgCzAAUS4C7hflVsyrKMnRmFYDFBMn/s84P+i/bfM8WMx6tLzGbZxfuBWTIJ3Vy3k3+iFJUvqjNH4NgBe1BRyDohwILCOKtsnLStm/Q8Bd2vOOSREuBCYU5Vd86y3RDumx/riV8BeGqFCljkmlhSnewZewOJU3qQ6aktQT4Ap2Dt2IiY73dVtMwFDSFkuVQrZarthVNLRwLGl+r4IFwGzYBSlppLj9PAIo5GzjeYKtSyJFwILAadB0QDZlRIZaMsgCG4LMLyJs9T9hmV9TRWqvIglD9oDuMpx0sM4DzgzJ6P+QGB3YGNVPtBsMmX+TiEIumQ246zgXryrAR8BhyYw6j/GMkfOAvVJFFYBy0G8eIgasDSwODZmTgPOUeX5aox6h0+wPBiZQZUvgXWxXB2vibCJ++lwChk/pwPuBH4R4RMRHhXhEhEOFWEjERYSYT4R9mtr3HLxSX8FHs7mjCpDhI2wbK0v16H6ocAqImxeh7qBIqP+S6o06sHedRQyJddiQA/AJrZgeu5LVlnPjaGvu2IBzjNjxvafwK/AXBTskdTGSC1kq30GGyfmB5534hktcMHRu2BGf72yJXt4pALvsS8Dl1n0FWJkmRPhGMwICtCUiSxc4qpJWOrv1DuK86bchinqbKvKf1yioZHAAFWmpF1npP7tgIswz1NNGRhrrCfsuaqY0CztQNdQudcCL6tyZYxjo6tQDdOfRZgF80bPUq1hE7Oenpgnbwks82ZNqlQinAlMUeX0jJoYrW9NLAPuQ1jCvVkpKHwtjCVX6gMsGtkWx1ShAvyEeVmnRrZO0HhIWyAAACAASURBVJINO5Wg4FogwkrYCgrQOhFSTm1YC1shGZiHEyJS9wyYUT8BU6fJrO+H6oz1DFSzQhAJXE0lsViZtggmxnAycCCWXG9vt92tWiQY4eHRnKg3F6iRN9B1QCfUyrWLcPangR5R73NJcA0mgfbIsPzOmAb2eNA1sCDEPXI4r/Uxnfqq4ycS1tcL9ATQf4POWmafnqAfOK5/qgHSoAeC/j1B24NkbQ3FPXWc/w/zaBMJYlxA9wa9Medr05/iuJGj2rpOJXjRR7j7Pz8WDNkPdHHQayL7ZR7jEGrj2qD/jdT/uGtjEUebQlxEJnFJoJeCXp/jufd076VnHWe9YuK8jOqv+Rloi/cf2udV0GNzOI8VsdincLLKaaCD8ryefvNbFlvdG9DIm3uRfR7z2GAgW90NIJkPVhldg5/IIckI6DGhATZT49EN6j+ArlmH63kt6LAyv4WTnaWaHdWd8xsJjn/AGXO5GPVUEUjn9qlbUqQaz2dt0DE511lzkCTFTomy15TWSZs+BJ0v4/PpDHoqFri6Z6T+lyKTmF4Ugicnk5GSGJbQ71PQTXK4nz2xjLF/Yg6CNrPfNtsGuhHoa+QQDA16WOT5UDeeNOw44je/VbN5jn1l/BcL6qkZapz9a1V5DuM47ynCuW4psJnwP2CGHOoJJ33JhIcuQk8RdsCWsPdR5dm066gCZwIHizBbpG0zAMOAr7EAx/eAd1Ks921gUad1XRNcn10eGK45cE/dsvznGP3nc/fcXCLC7SI8LsIbInzp9gmS7OUauxADmXPsSyAc71NVcjetkn+tRntZDBiOUXiuAcaIsHAK7W4FF8j/OMapX16VG0rUH+Zof42N30tjFKQ2OeFxoJbQb1/gGhenkGU81QAKcR4zYufU3vAYMBtwZg6xaXdjtJ8wumAiGh4eTQvPsa8AF9T5B9BVNRnH3BlyD2LJsPZVZWoKTcwcIrwHbKPKuxnXE0upoYbye2LJWfpjvNQlNaPso1W05WrgB1WGuv87YS+ZXzH+ZybZUUV4DThIa1S0cYFmzwHzJX0OqqhrNuBeTJ0owAOYUfcD8GNo64wlnsmkz6QJETpjQdSzqBYF12ddb5DMKnOVDxGGYNzlrbF7k1ZCtI2AG4ArgLO0BJ+81PiBOSVix0XU0L7+2MQ5VUWXEvUkivNoBrj7+AUxYtsS1HcIlik6cBJMAVZU5c2s6vXwyBLeY18BasGbU6B2L2eJsn4C1gfmBv4Zx3NaJ/xGDh77aj2FCRB4u8DuQereuxpwFjBEhDnc/8OwNh2gBRWHLF7YrwArxDhuNeC5LI16EUSE3bBVig8oeNL+wK7LxarcrspjqryuygRVPiPbPpManDH6ORawmme9wcph5tdGLTD7FExe9VnMg98zbnkidHUZsK8FdlJlWCmj3tXdavxwz9AamJc/dSNYhNlcUPRLZKDoEkXW59MgGEyOq3CunwwFTgx93RV4RYRjmljRzqMDwxv2bSM2HScKVX4D/oJ5Zh8VYbFqZOXqjFwMe8jcCBmHedWyoLnUBFU+B+4CThXhGmA3YCtNQVe8DdRs2DtJw6OwlaZMIMKimEf+SGALVfbFaCttGux5Gq4poCY6jgi9mmB8iOI997cLMekv7ryPw1aJlgWWU+Xpto4r1ReymCiLMLMIp2IT0HmAdaiR8hQXGU/8GwE/Q4sDIdNrGcGt2LshQBdM2e7jJnv+PDw8FactiPAp8C/gXE1JTs1RL64C9qEOSYtqgUsAc5kqD9a7LUkRSlaSOs0lRlvC2uuTgIVyoEosB9yoysAq9++HGfSdIH1JQRG6ASdg9KOzgEuahaIWByLcgul1H4QZ+d3cNl2Jz72Ae9z/DTs+RJGCLGgQX9EVk9XsrcrXWbS1VrhzOww4AjM4zwiehzwpT+0VTpf/LeB0rN/nei2dxPXL0CqvSsPI+3p4VIMube/SceEMmz7A/sC+IuwIPJLUKFRlmggf0zppUSMOHn8Cm4vwWrO/sNx9a5SMqcuHPncjn/s/DlhYhBnc6lFZuMnnCAqregJcJ8IRwOspxJysDVyJGX/LqjIhSXmNDjeW7OL+/dD9neS2ySU+z4QZN9DY40MRVPlVhDWIP4EeTMGw6gJsQh3O2xnxm2PP6Q3Y9T8aC+5cXbV4BcuNjQ1/fxocp2K5Nm6uR+WqvClCb2An4G9YnEieqwYeHqnAG/aVcWTocyfgdmCcSCr8xlkxj1QQJNRwg4fzQm2CDXC7hxQvBgOjm93QrzMCxZIg2C/z+6/KZBHGActgPOhWEGFmYC8soOx3zFMv7u94LGtpNxHuB+4DnlEtWsKuCBHmxDILr4Nlwr0v/hk1FfaJ/D88CJ4uhRLBoA03PpRDwgn0RCzhVRCImvt5O6P+baC3++oo1461sxYR6Ihwk96TgC0wcYO6wb3TLnDJC58HzvfvOY9mg+fYl4F7sR4Q+bozKcimOfnArTC+fSMH/g2mkIq+B6bq8wUmQ/iZW7r0iIEcgoXLoSTPXoTFRbgU+BRYGeP9L41JCQ7HaDj7uf83Br4CzgC+czKUO7pJQUm44Ni9sVWDf2OqRB3FqAfz5garHNOA6yvtHOof/8YMykYcH1KFGxcPB/ajvuPiAGD+yHdveKM+fYTofnthMpepxLMlgVut7A+M6AjPnUf7g/fYl0fYqAX4BpiddAIvV3J/H85aPjAhwl7lScD7WDAbGE3gZRF6+8EvHuq0fP8qsDa0vMA2xnjDy2ITtoGqfBXa/yMoeJZdf33XbSPcBHhzbCJwtQhjMU/+/apMcC/u47BJggAbq/J6pmfYgFDlIxFOwaQgt68mVkGVb0R4h5yC1xsAm2E0nBtUmVbHdozDAmPDOvFP1qktmcFNxPuTkixpTOxDMd1vLyi/kpUT+gK/qPLvOrfDwyMWvGFfHmGjdjKwJjAH6QRe7gbc3OBGfWBYLIwLCnNfb0OB+9sV2BLTl/ZoDrwCnCzCvzCP8C/ASGBL1VbJWtqEm5xcjRn1MwIbYStRw0T4GvN+gnmrF1flgxTOoSHhJjmVaGrfYvEJtQQgfwYsBDyVvIWNC+etPw04vc5GfRAnsDLWl1cG/gPcKML6qrxfz7alBUc3GgfMC7ydEr00DqaP/F9xJSsnLAMdz/ng0X7gqThlEFoKvwDLYjghDZkxERYEdgcejXzfU4RBSXSfs0BYQs5dk5UwbX+wwNoD3Dl5NAf6YgHhG2AG4/aq3BjHqI9Clf+p8g9Vdsd0+d8K/SzAHknrSANZPGtuZeIzbJJTTiLvT4pXAavBp+SsfV8nBN76e+vdEGiRlRylyrGqDMc44E+KtExUmx3LYnSjTmSUlbctOGreYGAV4BwsceB8ebejBJYF3qh3Izw84sIb9hXgjNmjsUCqI5KWFwqI6wk8L8IZIhzhlEbeIYWkLllDLRtfb4wDuwBwC/CiUznxaGCIsBBwY/grbOk7dTjZylOhyPt6Y5ndc0NIjvEZUnrWpJDVOKxic5aT8wwjjmH/GTYByx15ORsayVtfDqrchAXRPibSQkdsZqyA5WipS14PETbGYnc2VeVFVU7ApG/Pdf2hnlgVWNJN1j08mg7esK8ORwPHijBPwnLCWfW6YINrH4zmMx8JkrrkiYgX/zxsBeJOEU5pwoQ6HQIizI3lYziPgrHdZhBnEjjKyWJYopexwPGO119PDMCer66k96wNgKLA4SnYc/2ZCCdLIcPwVGo37H8BVk7rmaqU9MoFOM8lwioi7IXxzPNwNjSUt74cVLkDOBh4RIQV692euBChOzZJ2YI6ZLF1E6ObgK0jsqF3YM/Hdnm1JQoRVsVikLYBxnvj3qMZ4RNUVQkRzsP4iE8RU+qxhITdwo7HniipSyNAhJUw462hE251RIgwE/A0FtB6mntZ7QVcn2bCqTbaMAPwCLb6dXC94ktCz9pS2LO4XAr0uvDz+x2wrguWHYBJ5m6NyYT+6D5vUc11d+PFp1ieg8TPlCvvE6A75qkdhsUN9cVWBfpicpOfYBOKdTHnz2RgLdX0c0C4Nr0ADFPlurTLzwIiDAauwwI/56HJpH9FOBTYUJXNM66nJzbpbQnOdTrxzwOHqfLPEsesC1wDLFGLjG5K7VwGc3yEef8VZWk9PBoR3rCvEmJp798noeEqZTIUSgNlRa0Vru2XA7uGvvbZ+hoAzjv3ENZ362ZQu7bMhK0ajAWOrLNxfxrQR5VtUiyz5PPrVkuGYhl2wVZKFmvLuBdhP4yzHyDRM1WivKcwCdtPMWP+U1V+CZ1Pps4GKc4y21TOABF2wPKaNJUjQ4QemNLVFqotma+zqKcnZsAH/WdrbGXmYCyT+cgKxz6EJYK8OKv2Rdr5EibjOwlzeNxGgc2wlCpvZ90OD4804Q37KlHipXgTcEIzDOZZIjSAB0FlTfWia0aU8oSV2a8zcBfG7d5JlT9zamJZiDAL8ASWuv0/wLV5rRpE2jEzZtAumUc/FeFc4JjQV216AiMrfAArqfJygjb0wvJQdME8830rnXvWzoa0Ji5VqBGljhJtH4Hpnje0U0aEw7EVpb9kXM8gjMYVUE+DpGNTgQXb6HcDgcex3Bm/5NDOMRgFaDJGTfoR2BujEc4GbKbK71m2w8MjTXjDvkqUeMmCN2CDgfEZzOs2GVvKvLQe16Rag7eZ4c7xFUyx6SNgxVLn6gLQrnT7babKpFwbWgEirAAtBmpV3uuM2nEF8K0qp+dU1xD3b9XnHFrh641xf9eJO0FzZU3AjJg2DfusERlTp0DlnBiOQrYPRoP5DaMOLQNchJ1TbuNxiffBVCwAteaVjbzGLeet/xgbDzKVc4ys+HxPccKvNidwIlyHPZsnZdfKyitTzjFyHdb2zb1x79EsqHcgW9MgJH95U+jrHthLtyNjHJasKFBXOLuORv1LNIGyUEIMwAyaztjy8fsijBRhfRFTZXEG0BhM3WGrRjLqHXYJfe5ERso8VeAyYH8RumZZiQhLAtsCgzAlkKonMkGgOnA6lgvgqARNCSfd606dx67QmDoMU2gp6WVyAb8nAB9iyikfYFKq52I5QcLZsXM5p1DbR2BGfSzhAzdOvYg9r69mJTzgxoT7gbezNurB5EKBNTAP+DrYpAv396Fyx4VwCialvFyWggyRdhZNytwEem9M7voREQ70whAezQDvsa8REa9Xh/fYQ2PEB0SWfjML9qs3SniYhgDrYdlfFwP+j4JxUzdveDk4CchnsHwIgazdGqo8V6f2PANcosqojMrvhJ3v7apcnrCsPthKx/pOdrbW43tj8pnQYGOXCMOBgZjx+TC2QrEpsAmmMPQtxZlgh6syNOI5n4bRNz7Osd2JYhEi45ZiPO/vMYfJO6G/7wUe47aoRy5QvRcm9tALu64nYc+bYtco1zGhXGxZG8eMxDj5wQrTQCwmY2o0PidLOpYI82EUtk402HPj4VEK3rCPAREux9QkDvcPeGMgonbyEbB8O6fjtJpIuSDN6zFjKEDDqDo4etDNmOrECVjCqm5Yds91nPZ93m3aARiiyjoZlb83NvkalEaMgwh7YPK7K2mNScXEsqleC1xIDQZWHnCTjk8pTPbewYz8h7Bg6z6Yp16ITFhDRuN6mBG4Y56B2UkcGyUmBmth75ZAljX4uyjwFbZqsT42EZgC/B2TWg2M+HkxWuTXwDdu64NJKweoeUyoB83RqfeEA2gnYufdyX0OtkkUcj2kbninHcTu4ZE1vGEfAyIcD8yhyrH1bkspdASueSm48z4TmFOVnevdnnrALbmXNIDqDRHOwDLerhvyPnbCPLSvZs2nLdOm6TAv9gaq6SbpEdOvfwfYRJXXUipTgFHAJ7WOPyIcgql87J9GW9JENcaTCCdj+uLblerTTgFqDHCXKudm2d40Uc3EQIQuQD/gcAqxGgB3YxOgbygY87+EJzZuTBhPgXq7SC1jQmjysSQx4wjiQMrLQ3fBqGTBth9G3QmQquEtKcvOenhkDc+xj4dJwKql+HZSIQFMHggNwqll1mwWuJfNMGBTEWavd3vqAffCXhSTL7wY2EfaSLIiOWQYdZ7rnTGZvZYgNLVMo7sBu4tlo8wValrZ1wAHZVD834Db0jLqAZzBdgCwqwjn1jjOrAjxVXUyxmja5mGPAyaUM0rdCsbWwFEibJBJKzOAKr+qMraSsazKVFXex8a38HU6XJVbVHlClfdU+Tm6WqGFRHEjsfwEP9TYxAFAf8xb3p+cEiiG4hj2JWRMu2vxP1V+VOVL4EkK8RnVcvjjtGMK0N8b9R6NDu+xrxHuRfoZlj6+aPZezsOQc/vCKjVTMe9Ku+OaV4IINwFvqHJBvdtSL4iwBXCf+1ex7MD/BWaMbLNi+QdmxQynLPTKN8SCztfS4kyT4X3WxJI4raDKV2nWX0X75sMSZ/VR5b8plbkmcCtmCGSh//4ZNgZNARaq5pqJ8C6wsypvpNmetNAWD9uNbRepsnIb5ayN9aUDgcfa26plHL566Ni7gGdUuayGY8Ie+ynAPGk9J2lAhE2BY4FbyJBiJsJ4TIzg3SzK9/BIC95jXzsGYy9UMAP+axFUBMWWQnuEfquH6kSgUjMFM+jWqEMb6o0rgSGOtlB35OERL4FB4SYAZ2Cer8EY33Z+zAPXFTPqOxND1aMtiLAU9sLdrpxRD6DKs8ClwO1uqT03OKP4CWzlIDFEWBC4AzgtI6MyPAZ1BV4TYZ9AFalMm3oCC0K6dKM0ESgAVTDMvgPmrqKoVzGnxija4aplFdepEq7C1GaqHhtDyjFrYmpE28eoN0ssCHyY4JpUi4+g8uqnh0cjwBv2tSO6ZDyvKqKKYIFLE0O/xV4SjGsMRgbhZYG9RLhIpEUSriPgBew+rFvvhrj79x75y3CGOabTMA75FqrsrMr+qhylyinAidhkMJArTc3wc57w0Vj6+DFVHDICu2+Z68qXwGXAwUkng86b+gkWyHhJRpS86Bg0BNgB+EiEQ0WKcm0EWB54S5UpGbQnL3wHzF3FPRoAzIlNaFOfrDY5nsJW6s6spW86utALGGXtTBFmzaqBMdAbU63JGh9jlBwPj4aGN+xrRDneX+i3NYF/R3+rBUl58iHO5juYlvlSwCgRpo/TnmaD45heSXGQWb0wAJgH844PBFbLo1LHq70VeJQKAbRaQcc5CVyffRC4XJU7qmzzNIwWtIcIG6XRjhrwDLbCtXbCcsJa8T2ArdNerSkxBt2jyoZYYOm6wKcinCDCTKHDVsLyPDQtVPkNy6Lc1rWM5tZo2FWKOmBuYAFM/vLjWieeLl7kXuoz+S6H3pgMZtbwHnuPpoA37GOgjaXQX4EfEy4JDnBbVxJ6nFT5GdgY41c/LcLAegb35ohbgPUb4DzHUfCI/wTcIsJRlWgTKeI7jGNcUQGjmuC9WiCW8OkuLPHOObUcq8r3mHF/g/P45wI3GbwcC7xM8nyMi/x/ITZJT3W1ptQYpMrLqmyFyT4OAD4R4QynzrM20LetQOomwA/AoZXuT1aT1XaCwdBCdYtLFx0K7Ohodo2ARYCNROiXsXjFR3iPvUcTwBv26aMH1KYvXQLjgPfd5/Ek9Dg55Y89Ma/km5is3KciLC2C1EvJJ0vuuQvuugtLQV83RIyMvu7zesA4ETbPOA5gIiYHlxvc+QSBeQdHFTqqgSpPY0b2bTnz7f+FGT5XE8Ob6bBF5P9OZBS/UA6qvKPKrlh+gLkw+dNNsCRm45vVuHf3ozcmaVvx/qQ9WW1HCNO4phCDLqrKv4HTMKpZ4vEr7vvHvbu2wGKGdsH6+ecke34r4WNgcRFGNOsz5NEx4A37FBAZmPoBcyR58N3LaBAWBHZWGi8nZ2AF+uZgmrxjMPmzL8luMCwJZ8y/Trbc8yuB/esdXxA2Mpwk3WbAYZg3+1ERBmRU9UQoybfOBK7vjML67vaaLOHUcGyV46wcA4/XDn2O6828FotpCPA9daKEqPKxKgcAD4S+7gTslVYdOQeGb0Nh/KqXOEFTI0TjOhNb0atV+jLAVVhirAOSOIVCMSlVvX9E6CHCZiJciWWAvyH8M7bKDdY/9o7TpgrojE0sT6CJJ8ge7R/esE8INxAFXoIJmJd4PhI++M6Yvw7zIKaFaNDdYsBfKfSDPF+W22EvmC5k5M1U5XWM/nJHow3CqjwCLI0ll3lShMtF6J/yyskf5OSxDz0HW2OT2xmTlKeWpfUA4EjyCzweDS3BpbGC30Oa4ZdgnP1e7u+2dfQevxf6PA3LTpwY7n58Qn735zcKk6bU9crzQJ0UsorgaFx/xQJO/xKzmE5Y/M4VJHMKDaYwRvUAThBhMRGGinCJo9fM68bF+7HJyHEYLWZ9LHYk6BPTKKyWT8FodWeLJBuLQtgj9DnVCbKHR5rwhn1ybE7BSxD2DKfx4N8DDBahW8JygLKBv3eR88tShP6YAsqnZOjNdMb8UsC2NKCHRZUpqlwKLI71oXdwE0QRLnYvs/VEWCgmJSVPKs42FJ6D7qQzQQykDTOb/IXhnodlsOdgiQRxMj9gGXbDq2NrJW9hbCyDqR8NJ91MxAMwqdRc7g8mTHAKJYQLmgHOmH8eeA54oZ7GvcNILJNt1XBG9mlYHoUtQz/FdQpNoJBcaipGH3sfW1E4BPgQGxfXxSRk+6iylirnqfJ+aCI93P3ti/WP3lj/nBd4T4QdUqCcXkPxJCKVCbKHR9rwCaoSQiyj5jWYIT8R05fuhA1WiyZ9iYrwLHCOKg+W+b0fpv5yZZy63Mvla8wLcm/WL0sR+mAUoBOxBEoVU6knrOts4PjQVxOB17AXRXj7VhV1A/5gYHTeRoMI+2FGfYB7gP9gL6q+mLLOl5iHNLpNxNSPitotwr7AINXs4wzctfsS6/upJGeTgjrUEtjkL69U9i9hk86htT5T7jo8jPWzHaljsjrXnk6Yl3N51XQlAd39eQ5Te/oYWC6r++MCqd8D1lNt2Oy5FSHFyQPBaFsjMKO1HmNOV2z82MKtbpbbT7DYoIOBDTED+zJM/S12QkbXf67F3j9vY06lIMYljLNVObHackvUszpGHVqchOOTe9/uBVyf4gTZwyNVeMM+AdzA9CK27D4ZG5hmAA7FMn321oQZ+kQ4HFhatTVf0A0y40kwkRBhMHCkKuslaWeVdc2DGWojnac6y7q6Af+k4EWahnmDZsAmE+GtMxZ/sCIpGqY1trdi1mJ3PgtSMPSDbVFo4ehPw16KL2CJZNbHgqa3zOMlJMI5GL1or7SunXvGMpv8laivH4VYlGnU4OEWYTHgEewenI1NxmJlCE0LIiwD3KnKYhmV3xObPK8DrB4nWLqKOspm+24mRCaqH7ktCLauV6byE7H3RqvVZUdh2RXTrp8OM+ZvUuWX0D6xsuCGJoVLYRO2lVX5NcS5D680LqPKmzWfXHF9B2AxVwH2VS3K9eHh0X6gqn6LsYH2BP0IdBroG6A9I7/fD3oraK+E9SwA+m/QriV+GwGqoe1h912/KsvuBfoE6Jk5XK9ZQd8E/WsOdc3kzmsUaH/QsypdE9C5QM+LXMt96tCneoHuU0ufAd0v0u5RoLeDfhj67s9q+0TC9q8F+mLe1y3lc4g+U2dVedwqoN+C7plRu3qCDoqOM1UcdyzoZRlfsy6gH4BenHS8K1N+tI/n/mymfB9XcX/rfl6gs4P+B3QkaD83Bp0Meo1779wDuh6opFzvINDJ7rwnga4S+m0w6NRSvyWorxfo767MyaDHZNFX/ea3Rtjq3oBm3dzANKXMwNQLdKL77fcUjPsXQDcs8X0/Z7Spm2BUbchFBrqJWQ5yoDOA/h/ohWm/IErUNTfoa6BXgHau4bjw9ZjSLIN+pN0tfS2ugZqwLT1A/1er8dlIm3umwtftLtAebRwzGPR70E0yalNP0PHOIGnlRGjj2EdBt8z4mg0KjUOJx7sS5Yf7+J/N8mzWeF6ZjsFt3Ltwfw/eI1NAl8+w3p6uL0+K9ulKv1VZbskJsLvel4TONfW+6je/NcLmg2fjYxzGzy4V/DkYWgJee2ABtkkwCtgtGvijhcChEVDEkawmcHdLClKI3chIDUeE3hhd6XPgaNX0l+pDdS2MBafdBxykpqxSFbQQWHwYJlHYP5NGpgwtHRANxbKLSg6BXqr8gXHLB2VdV4bogwXsjcBoRVOxQMeSiWlE2AeLsRmsysMZtWkApjTUFaMu3CLCriIsUOkgEbpjsRdPZ9SugLr0PBkqa0X6+DuYbnlmyEu5JnReo4AHNX8azgLA/0W/dn+7YEHXmUArJBGr9FslhKhOrVSa3Of9MGpiAC+Z6tE+Ue+ZRTNvhJZVI99HPUy3JvFUg64Y8jL8AbpAqJ4TQF8CfTbkNVPQO0G7lClveWzpPFjuzMRzATpflp68SF3Lgn4FOiSFsjYG/Qx0pnr3sYTn0Q90DOg1OdZ5JjlQuzJs/2OE6DSgAnqI88hvHvn+r6Afgy6ScZvCHsz3QY8Gvdu16RPQ60D3AO0dOW5b175MnjuM8jY24vHNdLULdGs33mWy8ueu9TvEWB1JUOfMGO2ld9Z1Rep9qIS3PrWV5rw3iuk9U13/PxejYn4Heovbp9UKp9/81p62ujegvW4U+NILg74IOiJBWVEu5lRn4AfLppNB53WG3FmgS4H+C/SfoN1D5XQBHeoMgp2Iwemusd1DIu1OnUPqzuE80B9Bt0mx3KtB/17vfpTCeawE+m6O9W0IOqbe5x2z7RuA/gS6YInfBoF+ATocdAmM7jUOdJ6c2tbKieAmF/1BD8Im8t9hE9IbQI8go4m7q3dXbCJ9F8V0wEEZX4dOzvBuRU1MqfwwrUhBX8FiBw4AXQ10FrdfLzcup3JdnQF6UR59ydW3AejX7j0STMgGZf1OyPicwhPg3yLvnk1C+zXtOfrNb9VsXhUnB4gwB7ZEeI0qF8Q4vpViCrAVplIQoCjK36mo3AzMARyFJftZCZNQ3EuVCfHO7/3FcAAAIABJREFUpqZ2L4IpjEAGqg/uunyBLRtPAhZKq3y3dPsWcLBq8yXCCeDkDr8BVlHl0xzqmxGTV5xDtSUZWkPDSbDuA5zsvirZV0WYE3gQU0+CGlVzsoaTJVwMy6C7F/a8B0hFBcSp7FyKqZYcospYR8e5Hhivyr5J66iiDTsDQ1RZM4Oyo8o1QzH1qQGYOlN/4H/AXKQr7To/Nt70U+WnJGVVUdfcGHVzV4xGWlflpjQRUtE6HZPmDDBclaH1aZWHR77wHPscoMqP2CBzuAi7xzi+FI/6HoqzyD4UOWYSsBNm1L2Oad0vCxyYh1HvMMnVn1VCmcHQkripG3B0WgWr8Tr3Bq4WYba0ys0bqkzDdNVz4ZKq8j8s/mSltvatJ0SYT4QjRRgLvAxFRmI57m0X7BkK0FDZJ52z5n1VrsRiaMqOD7VChNlEuAyT87wRkycc6+r9CJNE3NBNLrLGXUAvkfQNey3md6+iyr2qXKDK3qqsDMwMXETKMQWqfIlloT425ezTRRBhXuAJTAL1SbUstNe2B6MeWu7fJCwOI/Ba+mRSHh0K3rDPCc6Y3hj4mwj7izCilkyo0QG4jLEfPeZPKEpKIxQHD2WNmYGfMnxxjKZgvEwGthbhYREGplG4Kk9hWvgXp1FeHfEgsFmO9T1DfTOttiCcbVKEuUQ4yCV9ewtLrHQKlp1yR9o2hMMTSSCfoOQ4qGZ8qAYizOzyE7yPnW9/Va7R1oHp44DfsFwRmUKVqVhw88lt7Ruz/F9VGaslgjbdRPkmCn1FgTdSqvofwAlYHoSP0zbuXXmfYx7tA7KaPNQTIsyOjdkHYTk+0s627OHR8PBUnJwhwtbYAA45LOUnSbiTQt1rYFkDV8uwjpYEKVgmxCHY8vlo4BRVvkpY/gzYi/s4Ve5J2Ny6QISZsdTt86jyew71DcZWT04CxpUykPJAJNnNNOBXrF/cCfzLrWpF9y9LS4gkSpoKrKnKC1meQz3haA1fAj0xpaAVKt1LEU4DZlblyBzaNh12bx8HzszbcAv1lb6YCtT6zuiPW15fTF1ontDXqSZREuFc4Jisyq83ROiMrU6+pVp0nh4eHQreY58/Vgx97gQcmGVl7oW3M/AV+XsuZgZ+zrKC8EqGKpNVuRjjGX8PvCXCWSLMlKD837BVjssdx7rpoJYp8jUsdX0eeAOjtjxDRHYua4jQXYT1RDgLy2wZZLDsBJyoyq6qPBA16qH1qlip3zGP6nPAgu3ZqHcYAEyPOQX6YJ7eSrgL2M7FdWSNBbGVlj2AD0RYNIc6WxD0FWzFpxtweJxyROgnwo3AWCyDeWr0qUg9c2LvgclZlN8gOBPLIn5CvRvi4VFPeMM+f/wQ+X9PEYa6oMOs8AAwK5Tm1ofpCqHv0tByngUK6cfzgio/q3IipsM8H/biP1iErjHLex4LRL4mD33rjJAnHSfQV++KBSG2ZRDGhghdRFhZhJNEeAJ7vs7AKBLHUWwo3ZtCldMDYxJQW3qKsHqT9KFKuTpaQZV3seD8VbNvGvtQ0FwXbBL/mAjDRNhYhFmh9NiWJhwlaTfgJBEG1HKsCIthKyG7YyIHd5ECfapEPZ2BWzAKUZ+0y6833D2+AtgF2NFRtTw8Oiw8FSdHODWH87CAuzUxfq5gEfzrYLzR+7BA29EV6ACDsZfuFlgiot/cdyWPcce9jilJvFiivAmYp2MqcB024dsaM8zfpoYkIZGyDwaWVOWgWo9NE07J4xxgIeBs7FzLXqsyZcyBXacumIET65rUCyL0x5ap+6hmlyTM1RVWFnmPFK+VC87sD6zntjWx+/KE255V5b+h/SvSa2LUfynwgVsZqvXYnhgtbk7s+W34PhRSGXmnmraK8FdgTlUOy7hd/TCjGIxmtTJGY1kVo8asAC1xBqmp11Rozz7AoVhQcavVoBL7r4klpgqvAv5NleMzaNtfgQ2AdRvB6A29w2oagyuU9RlGj0tVGc3Do2lRb73NjrKB7gj6DeiAMr8vjaV/D2vTLx36fQYsOcuUiD5vOA14Wb1q0CtADy/x/UWRsu5wmsqBBvYk0FVinvNJJNDvz+Ae7FDNtSpz7KDQtY99Tep47gL6abn+l0F9JZO3xSinF+jxoEeC3gb6LZaU6Rr3TM2d83UcBbp9zGObug9VeY6LYXr6Z4P2y7CehbGkTueUqgfL2TEsMralnkcjVJ+A3tfWeIcl7bsNy4lwMMWa+c+Dzphyu9bD9OrnrXffcO0JJ29MnF/Bvddyucd+81uzbJ6KkwNE2B64ENhQlXGl9lHlTcyDEywvdwVeFeE6EV7FOOPnUqzK0VKF+9sD2KnM0vN7wM4Ruk0XTKknzLs8EhiGeRSrWoKvgLpQcSpgToqvVS0ydTXRErJGrRQDVRR4CjgtDzUMraAsUi1cO7/GVlnOBV4BBqnSV5X9VLlDle9SanK1mAf4NuaxQR+ahp1XXftQRvgT03g/Hhhfi/JXjTgQuFaV47VE3JCaZ/oKYKL7aiIZcsrd87UfsIcIq0d/F2E6EY4D3sSCfpdQ5TIsHmi4+/s+8KgIs6TRJvf83AzspsrXaZSZsD1zYXEEPdxXsaVCRegkwhmY5z9YIWmPcQMeHjWjlJHokRLcMvahWGDVhqq83cYho4Ep0MIF7wzM4Mp4DePJB4mqAkyjOFbiXPf/ZBGGAreGvp8Ok1ELlqT3xJIJrUOEruAUbapegi+DmbGXWKNgeczw6EyNLwFVfk3pmiRGSLauK3afj8UmHD0qbLNgFK9OwKahPtDI2DL0uTPwi+aQZKsNzAPxrluoDx0BrFfPPpQhTgt9DnT+U00MJML02Ni1YqX9VPnGqc3cBTyedX9X5XsRDgBuEmEZdZQwETbEJHM/xrTxPwodEyTBQoT9MAfQkyJspNoqHqtqOKfNHcCVqjwR+6QSwlHn1sYSJG6M0QEnYQHH07AcErWWORMWMzALNqZ3ph0l2fLwSArPsc8Izqh/E+N1f0AbUnGh45YGXsKM8Fa8UPf7a9hLcyrG2a+kAjAJS1C1Sui7fbEB9TlgD81IxlGEO4F7Vbk9i/JrbMt6wA3A+sDqNPFLQIT9gatCX72AxUL8UWFbDYpiHRpe6k6EtbBVBiFjjnSV7emJTYQTtcNJNX6OGffvptW+RoAIL2B892BlbG/VdLX+RdgX2EKVLarcf13gPFWWS7MdFeq7GguGnYY5N/oCh6syuopjBVN32QqT0KzZ0+4m/tdigd7raeucA4nQFkfe/b4DZnjvhDmrrgJuVuXnUNzLIsB2mNPr4yrrXhSLQ3sKOEK1ZbXZw8PDwXvss8MACuogfTBP79i2DlLlTRH6UN4DsQEFD30Xt/2BeWUnYy+T7qH9u1Fs1E8E3sUkCQUYJZKZDGbmcpfVwHl4rgX2U2U8ML7OTUqKryis1PwBbNOWoSnCU5j3tAfNs2Q9K/AY5nGt60TMGfXPY9fvYZH4ga+qTBbhGmyidUiKzawr3ERsTixoencsCdilInyiyjMp1SHYNTuuhsOeAeYSYUnVXOhP10GRFOqKqrxSzYGO0jNUhF+B50V4CPPiVxRIcB76uYGlsAy2XbCxfi5irjCVgjPKg1XjSU6Y4BfgL1gQ6/KYKpVgq6NbAw+48wrO8RtsPEaETzBJ3M1Ueb2NujfFnDNDVbkmrXPy8Ghv8B77jJCVMogIx2C0mgBTgPOxF+lcmNH6AebxKYWpwE9u3wCXqHJYmmoFrq1jgaNU+b+kZSVsx9WAqLJfPduRFkQYjlG03qIGgzdthZis4TjJc6tydAO0ZRBmIHbFJtBrqbY9Ua9Q3nzYKksfDan4NDNEeBq4QZUbQt+th1FCNk9yvULlrY4ZhUtoDQmhRPgbMFWVk5K2oY16umCxFIuFvr5Blb1qLCecWBBs3O6CjfcXATNhOv7zub+zAz9ifbN3qKi0k1wdAFwZ+moiBUfSNOBFTJWo6vrFkjZeiUlVPhn5LXgn9cYcE9uryQ97eHiUgQ+ezQjOiF8DWIt0Ze1uxQb3AF0xKs682MC/CPbim9j6UHD7jIKil+IuLkB3AummM6+7x16EjTBued2NwxTxF+A2rZBMqRS0jQRMDYhFKUga1hvjsJWuVIKn1TIiP4FpoDc9RFgHMzJvCX/v+N17Avc5725SHAJcVotR73ALNs5l9s4Ty1J9D6blH8ZFMYoL6/RDYXW9Kyb3+iY2zg/BvOTTqzIvZlRnleSqK7A5hXfHH8BfQ7t0wt4tNdWvyj+B7YE7RNg2VF+QOfpq4ERscuiNeg+PNuAN+wyRhjJIiTK/ATapsMvnGK9/FYxLvyoWuBUY+n9gHM5AjWERLCBwDBaEBAnUCiLIXRVHQom1nLrENZjXqL14Rfth3rmag86aEItiXsu6I6OJ+mXA4bWoGzUiHD3mdOAMLaGTrsqDGO3oYbF8CnHrmRebpN9Q67GqvIWNRa0Ua9KACPNgKzo/YrkVlsFioe5xime14v7I/2Hll/1UuUKV+1R5WZWvg+vu3g9ZJLmaDqPEKRYzsK+r51aKDfnb49SvytPYvR0pwhD3PJxPceboZdM4Fw+P9g5PxWlCOPWEq8v8HKi+TAZWCl4qbdEwItzJaZhSzhRgXBwjxhmg7wLLV6EGlApCPOjFMU9PV+BlVXbMo/48IMJRGA2hXdCKysH1x/ewpDqv1bs9WcCd41fUGBzs+vkAYj6bacMFp14J9C9l2If22xWTLl07TkyPCKdhya8OjtnO44CBwLOkRDd05fbHMjtfB5wZ8MnFktp9CCxaq8JNiTH+YoxmeU/eK24idMM88VOBHaIBq2lS/JyK0eNYfFo4BrDuwfMeHs0Cb9g3ISJG+EQsQFZK7DoF6B2Dg90H06EWYmRZdUb9eMzLMg0yC86N1jsIU/qJrkQtE9Nr1nBwPObzqlHYaEY4o3U94E7KKEO1F5Qw3qrhIwexO0vSABmQnbf+WeAq1WIaTpn99wdOAtZU5Ysa6pkOC85cP66SkAjLAa+6fxP3KzdeHg3sgcUS3Vxin2uBL4B/UcNELDLGg43l75Lz/RahB/BP4H/AzqpFNNCs6jwK89YHuAE4qT2OAR4eWcAb9k2KsJcEC6QcSWn6TM3BU85AfhbzmNQcKCjCCIolOH/HEvL8x20/V/n5ZyzIt2JAbyjA6inMszSQYuO+5uC1RoQIs2MrEfOotix/txs4o/UDjBoWRsNLc8ZBHI990mczbYgl3xuJKb98WeUxRwAHY8Z9NSsUvTCqzxKqrJGgrcMo5oTH7leuTV9g92ESsFCZldBVgafdvzUZ5q6OQzAnS7AKm9v9FssXcB9GL9qt0mpMyvUG3PrutOOJvYdHVvByl02KsGQYtGg7R5NXxQ2eCjJkBoo+tQYKXkvB4x/Qen7BOPezui34PDvQL/Jd8HkmCrx/FeED4Fd3Xr+7v9OwYNIg6dRSmNFwRKg9X4jQqx28HDYFnmyPRr3DAEz/O4xmkeaMg18xo/BQ4MEq+2cQKzOFBEG8adB5HOf9Duw5/0CqTHqmykXOaHxahCuBO6LHuZWA7pgayuvu8+S4z7EzFjejoC4Tu1+JMBA77+D92Q17NktNEhQbmzph42lVssfQkmDrbNfuuGNxLLhA4AewiedeeRn1UJRYrGkUvDw8GgneY9+OEPLivwI84v6OBa6rdXB0L/5YWVad8sTnwKPA2XFpONI6EdNpWObCHljylSDId5/QPkcDf8NepkG8AbQDz48IozADMNWEP42CiETsh8Dl1IFTnBecSszNqgyscv/psef5WkxWMFYGZHedXwcWJCa9wxneT2OBogGq9oBHPN6KKXJ1wwz47hgNaxI2cZ8+Th2Ruj515U/CqEC3xxgT5waGYVLCI7GMsUFeiJJjSxqyx0nG4lrh6loJO88PsOudaoIrDw+PbOEN+3YIEVagWDVlItA3LwPJSd9dhHHbY3ewCM+05MtTLBPvG6GvJmNGQSk0LaVDhO5Y1tN+tQbiNRPyNGLqDUdj2UGVbarYVzCucSdg94TPVTgWRTG1kxuBZ1X5rcoyzgC2wJSLaqZMlIgvOMG1YaLbJqsyrZoxIEZdT2BJlJ6rxmh1PPMjMKfBjViA7H+qDRptlj4dEh8YgOU66dte1MQ8PDoSvNxlgyAs05igjE7uJRbN8tgdGJGjpN6eGK890ayxSum2lSL/n0pBfm0iBc3/iTQ3pWMd4O28jfo0+mUtyEIitoFRi5znfphe+ZCkzxVGtXsbmwR/iAW6nwB8K8LjIhwrwtJuMtEKIhyJ6Y5vQEj6sEaDezTFMok3qfKtKj+rMlGdTn1K8o3huiZhTo+LgK9EuFyEdUVa01LdeLoz8D527VdW5WhV06nXKvNCNFGfHoBNQAToCfGlST08POoH77FvADij6QXsRR93aXwFTBd7KiYpdy+tJ26Z01HcuUzAJN6+z6qeUH2tPHrup02xCc5oTLP/HWBQE7xcS0KEGzFKwmE5rrz0xLLbLogZgnVVYGlvEOEm4Km2qFUiLI9R61ZXZXxKdbfyIoswE7A2tCR1mxF4DKPUPQb0wsaYhbBnqWpVmzJtyC0Tcqm6nHrXtm5bEEsuNQqjCA3F4nWmYIo3Y7JsXyPA9YnnMLng1LKle3h45Atv2DcA3NL485inZCqWYe+RKo+dHUs0tQWWne8mt4TdDwvKmx/YOnTI0apckGb7I+3ZE9hKlb9kVUeJOksaCO66PoPp2dddQSQuRJgfmyxBjrECjabA0t4gwljseSybTVOE2bBYmeNUGZVb42jRFN8QM/TXwTJJB2g3ErIAIiyEGfg7Q0uGXMWkehsl+3HmaBbakIeHR3l4Kk5jYBzmGZ2KKWXcIcI9Imwhlsa7FUTo7IJL38WWl5dQ5YbQEvZHqhyOyaVNDB16VlaUHDeZOB3z8OWGCkvi47DrM5kcFSUyQDjTcA+M65sHgusHRkdo1uvXcHA0l8WoQMURYREsSPbpvI16AFU+UeVKVbaCVh7rI0od06xQ5VNVzoUih4pgtMIOgyaiDXl4eJSB99g3CMKeEuyFsj2wF8ZhvQW4HtN3H4x5b8/ADPpDVIuCR0uVfQxwbuir1INInVH/AQWJy1ySUrWF9uCBitCNJgNfYtzo47P2moYUVPbqCHSEvCCFrKSzleLMi7AUtNzbuj5PIswDvAZFDoFB7XH1RoqT6wEs29b4mkKdDZVJ2MPDo7nhDfsGhwiLYQb+nsCcFJQsDgcurSaQLiL3ljqVQ4QZMcrGsqGvnwY2VmVSWvV0ZEhxQrJ/A/sDJ2OrI39Nynduo+6bMS74dVnV0dHgFHEuBNbCVumWxSggy7jPC0HRat1wVYbWoZ09sGf5ISxu5wiMkvMbCdV5GhXOuN8LuwfTAdtldZ7SYJmEPTw8mh+eitPgUGW8Kidgai/B/RLg92pfNiFlif9i+supQYQ1MM/iJ5hnEWziMRV4W4SN0qyvoyJMN1JlsiqXYsHWXwCvi/A3EZYTYYQzTNLEGxR4xx4JIEIvEU4C7gTmxbz27wHHYhP30cA2WPbk4PmeBvnnLnB0oeuw1aJhqryplsF5V2zy0fTZnEvB0RiHYue3IHCqCPtlRGEcgN3rLhQSWLU75K2u5eHRkeE99k2CpHrOkYQwU4GDsIyPtarv9AJ2wRI/9Qa2BA5U5b6Qp+t6VT4SYTPgYswwHA4sB4zOS9Ula7hrMZg6n5NYBtDzgR3dV4oZCF+SwhK/COsBp6oWJSPyqALhPoJlVH6LQtK0ACW98e55ug34WpUts25rifpPxeI71tFItmMR+mOB6Wurtt/YC6dI9Ir7N4vVzi2xPAJKO1WiEWFWLF5nTmKqvnl4eFQPb9g3EZLIw5VI0gIWELlStYOsq/8zCgmgpgEDVVsCLEsd0x3LYnis+6rpM8BCq2tR93MSYQSmRR5gstu6kfBl6vjgHwGztkfqRRJUmtyJJU97Cesj07CYmB4lillflSfKlD89tiJ2jCr3pdn2ShBhR+AcTLv92zL77AUcg40hVSW2ajaUGDdTi09yalcvY86Qn2niOKBycB76x4AVsRVnr67l4ZExPBWniVBtQpQyGA2tsiwuQhVLvyLMI8JRWDr7cFbXTsCgSseqMhGKePY9sMlJ08JRFC6icC16AI+KcI4IO4swoJyaUYa4lgIVahrGwe+O8bQTLfGr8iPwP6BPsia2L4RiV64GPg5TNdznlyn0kU5YwPsf0XKAdcvVocrvwN7AFU76MnOIsDJwCSa7W9Kod7gBeNXt214xmoKqWGpJ7tz4cAdwsSqPJFGicfSurKhCseFWEp/FYgeChGjNrE7m4dEU8IZ9x8FctKYAfEhokA2/IESYQYRdRHgEG4wHYjKLYenMNl90IiyAZY2c7L76o61jGhnOA3UnJlUYTFgmYlSYXzFq0j+AX0R4XYQbRThahA1EmKtEeam8lJ1iyuru39WBf2L3Nq2Xac08e3duQxrN4EgRg7EVEbDJ3dciqAgKfE1x8OtkzBCOxpy0yZ93akR3k3J8TCmIsCDWd/ZW5a022qUYpW+QCLtl3bZ6wDlR+mKrXgensSrnKFZjsORX5yQsaz4Kk8tPM4iviQURBmBJF+/Exv81sEBxT8Px8MgYnorTQSCWuXT30FcfAZsEEnoRDv+fmJE6FrgJuM95DoP9dnJl3F7pRSeWyXIClsHyPeBy4J5mpeGIsARmtD+PJf+alTLUKEehWBJYGstguZT7PAnjWb8JfI5NCBLTeUrFYGBe9lSkPkU4E5iqymlV7NsZU3G6GnMe1J2qlAUicStF5xi5H1OAFVV5swS14xtMyrLi/RFhBqzPHKXK/amfDEWZR29S5fwajhsIPIkZbe9n0bZ6Q4QDscy/uyQsZ00sNgGMV7+4avlcBpFjO2EB8yu4bXn3t3totwnAkvU0nkVYF1uNOEKV2+rVDg+Pjgpv2HcQOL5vVI95CmZk9AJWwrLUBjhKlQsT1rkG8BS2UtDU3EoRtgWuAE6Iy7F1FJ75KRj6W2Mv5gCx+btZcoFd+dsCu1YK4hRhOkwx5TjMW903q/Y0CkS4HZusnVhictcqJiYiPQs1PBfOKLwdi2v5KaX2B8HwAqyHBVzvV2sshet/hwMHA681mlfWTVoGAm/HaZuYlv97wDxxJHxFWBFb8dyC4jiL/2DCAtcBswH7YLS6T7DJ+QqhbVngByyY91X39ytswldzf8oCbuXmPGB71ZYJjIeHR47whn0HgginA6dEvv4n5l35Gbgf8/6k4mENaTQvQZMqPojQBTgbkyDcVpVXUyw7bORNAhZK4LHfCbgVM9CyUO9YBHhMtTXPXiyPwf7AURjlZwSW5Ce2ilOzQIRnMcWgp2o4ph/m4Z6bGp8LEUZiSa0SU19KTDKmYX2w5pwI7ln/ApgJ41M3zLMuhSRrC5GgbSKMAUaoVkcldCtXgzGDfkGMSvUUZpR3wq73dhh9b3NgltDh/8WM/lcoGPKvlprQJelPacH1pcsx5bNNKgkqeHh4ZAtv2HcgROgBYNzwvhFvYizVnQp1Nm3mV+eluxP4HdglLS9ppI5ewPEYvWmQKp/EKGMhjDa1PzAHKd6/UB2dgF+ABVT52X03B0ZJOggzWM5W5bXQMb0wrvm8KU0S05DuDMr5AViHhFKlInyF3beajOG4z0W1lJxyaj1uVWUhLHB+P8yDHEaslRURBmEUk6402OqcCKthDgYhQdtEOAJbLdmnzO/BNX8ckwk9EjPOzwf+ocpUt1+RLLD7biRwWKi4C1U5qoa21W2cdef9JTZZKXqneHh45A9v2HcwuEF4R+wlV5Ej35EhwurYSsbfseQ809o4JGl9B2FG8qqq/KeG47pjnP+bVbkoq/a5ul7GPPFXYSsYu2MxB39T5cMyx6gqkrDenlgg3mIkyM7pynkRW0EKEHs1QSwr60/AjKqtFKcyg6Pk3IkFXt7j2jAdZlR3BebDjOzpMLrdLe67RdzfCVjgfE9gtVDRk4E+Ma9FZqtzSSZ1brw7H5vAdE3SNhF6A68BJwH3RyZM4dUPBR7BKDbPV0NrEmEFTEUJzJO/WGD0NzIcvfBfwPqhr9sl7c7Do1ngDXsPjxDci+ow7OW9pyoP51j3BRiPdg9MPaWiN9l5/kZh3rLNs9SYd3WFjfe/A6ep8lUbx6Vh2A/CZPO6YIHdf1HlwZjlBF7lMOJ6qZfEPLGL13psEkQ8pAC/YUb5FPe3O7ZyE+B2jKb1IfCZqilUuXI+cfu3BPgmaFfqXuPQhGFJapzURc5vEjYZfTaJrCTGaRfseu3q2vQNcCBwZmj3qvtUiCrUF/ge2CjJfcgTIgwDtgL6kSKN08PDIz661LsBHh6NAscV/zumPLGKKp/m3IRjMd3sT7CA40ki7O0+z+G22d3f+YGV3XEDsUC7LD18+0f+/74toz5FjMMoPQti12KUSKzl/nGYbOES2NjXCfOuxh0HVwe6iNAvZ+/qYIqlig8PG5ElFJKOLnWtVPlGhL6kRL9zBnPa9JsBQH/sHi3ptmrrGExBMaYbFviaZMIxGFomqV2B093nXsDMof1q1bsfgGXxFkxpq1QSs4aDCMcD22Iyll1Imcbp4eERD17H3qPDQ0xv/WQsQO03YLU6GPU4OsdoCvkGumHZZDfCXvx/YMpGd2KGW4BOGGc3S8wT+tym9npacJOtczHaSIDuxEhy5oy6QE97MUxfewPgTBGWqrFd/YArsQnV+Jz1w0dTSHTVKi+EM6wWxs6vovdUkyW9ywPBZGyK+3+BGo59GFpWsdLInxG97uuqsgSmlhXG1TVez3Gkm3MiU7jx8lZgCLCBKj80QT/y8Ogw8FQcjw4N5938HPPATQF61/PlVEqPvlR7nCE5nsLkfJGsvMYibAVcgFEZtiEU9FfFsbGpOCKsiuVRGIMp7bxBBio7IuwMDANWqiZA2ikljQFWCX09XJWhabSnGmQR6N6oCFF8emBV5kU6AAAgAElEQVST2t1UebSK43YAjsBW4VK5TmUkTKPP4vaq3F1juU0hMhAZLxMpeXl4eGQDb9h7dGiIcAzmEQ5wtCoX1Ks9UL3R5gyK/TFO/iZhRZoU29IbeAnYQpUXYxxfs2HvlFtOx1YhDlTlHvd9Zsasi29YAhhcKRDWKQHdDkyPGfaBMXcFlpnUD6gZwinc3AvsoMqTFfYTjLIzQpV7c2hXoHTzg/u7fKCC054gwuFQFKTvA2U9PBoMnorj4dFgqHZZW5WPVDkOC9oblnY7ROiKGbHnxTHqa6yrlwj7ibAONpHoDywdGPWQOW3kOIzic3q5HURYDtMUf50CnWc4sCKm3329u2YeGUGV5zHt9zvFEuCVwyAsHuWBnNr1kVuxGYkZ94e1cUiz4unI/6/UoxEeHh7l4T32Hh0aEeUMxWTmSko3NipE6IYpnmyfpna4CMMxlZ7N4sp9VuOxj9wDMP3vkXl7v0WYC5McPCI8oXC/7Y7JJh6syl0ljp0BuAsLgNxOld9yaHKHhQgbYEo/W5Tq8yLcjSngXFKHti0K/B+wjCpf5l1/mgjnQ8DiG64Clgnt4j32Hh4NBm/Ye3R4hCgea2E83u2bjVIhwn5YuzdIoaxemELPjphx8n2Cskoa9iLMjwWyroFpjM8X+rluxoLTE38IS2L0nvPAXwBsDGylyrgKx3bFDJ8B2GTohzza3FEhwqbADcCmqgXPsUvY9jKmyf+/OrVtGLA8cB/wQDPy0CPxPtMwWc/LgZNp5xmlPTyaGd6w9/BwcMmengNuqzfPvlY4o/IDTNf+gkjyHMGC3bqV2KaL/D8PcB0pBMeFM88CM1Ew5NcEZsSu9RhMBeQeGsRYEGFPYChmNG4O/Ajsqi7jbhvHCnAGsD2wscbIJOxRPUT4C3A1pv3+hvvuAmCqo6nVq119oEVZq+59Og6cs+Dq0FcHqHJ1Rwrc9vBoRnjD3sMjBBcs+iJGpxhT7/ZUC/ey/QLTk1YsG2lgzE+HJXaaVGGb7P7OieniB4ibvKkX8JmrW7HEPs9ghvyzwPvhVZFGMhZcWyZgsqNTMaWkr2ss4yBscjBYldfTb6VHABG2BS7BpEu/wPrd0qpMqGObokZx01FWIh77iRArd4SHh0fO8AmqPDxCUOVz57G9Q4QVmuhFNpjC8yzAWZjnfRIwuVqOfAm5zbja34Mxoz5oz2mVDBt3nRvF8BlMIZdAF2ATamybKpeL8B3wqAg7qfJEym30cFBllFNSehSjvnyLTWjridHYs9eNdDT0c4dLYLYw8BRwahONhR4eHRreY+/hUQIinIrxqm8A7m/0l1q1+vc1lJXIe55me/JGytdyTeBuTG1nCjC6Wa5DFnDXdhvgHxlIlg7FFKLAOOGLZZXbocr29MJWp4apcnO92pEUIowEJqhyXr3b4uHh0Ta8Ye/hUQIizIvRMTphNJXF65GNthY0Ep2lEdtTC9Jsu5PwDDTXm2qSkxZEmB3YHTgPe6ZST24kwmPA+qGvck0aVgoiHAisqcpOKZTVEwvMHpc0iVUtZYmwN7C2KrsnqdPDwyMfeB17D4/S2IzC8zEd8K4ID4twqEtGA9gLUoRB7kVZVzRaWvdGa08tSLnty4U+98AmDO0eIswlwv4i/AuTM92ZwjPVDQsyTquuJbCEYQHlbBpwfVrlJ8DdwCYizJikEDe+jMViVMYkGW/cse9gqwnVlPUWsHTc+jw8PPKFN+w9PEpjNOZdxf1dBuNZL4O9DD8Q4XLgDVxQaCMY9x4NiWnQks22KfnWlRBKLtbLbQeJ8CSm0rQOJgE6LyZrGjxTk4B1RLhQJFmslwgrA+MwpaUpWGbUutJwAqjyI6b+tGXCogYAi2CxHwMpnizGKWs+LH5kCWDJNvZ/B1jUxTF4eHg0OLxh7+FRAs5TuzCwL0adGK/KKFX2wYyUHbCg0IUw9ZlqXpAeOcCtoqzRQBOt1YGjKPSlplvBiCJkzC+NyTpeDXwJvItlfR0J9FJlJ1X+ocpvkWdqISxjb3/gEUfVqaX+WVz9Y4DHKF4JGNcIRn0It2KrFUDxRKiGMsZh13Yy8F/gfJGi3A+1YBzwOTbhfA8z3MtClT8wpaHFY9bn4eGRIzzH3sMjJpzhOAYz6t8D1kjKffVIBndP3sayZL5Nne+Jywr8PbBIkkRfjQRnkH6OTWgVihKQDVHlqhrK6gKMALYG/lJFArCNMK7+RphBfzPwOvA+DRqo7bISfwUMA57AKDXdqbGtrm8viRnihwIHAVur8lKMNs2JGevXAxe1NRES4U4s0dYttdbl4eGRL7zH3sMjJpzBuAaWsdYb9Y2BAdiKSifMCKr3KsqawLt5GvVpx32EPMyLi3AoltW1a/Az5kUGM1Tvr6VsVaaqcixwKvCUCFtH6hYRVnDKLF8BJ2LGcR9VtlXlPlW+oHh1rWGMeoeZgJ7A+dgkpLv7vqZ4C1V+VWWs+zscOBh4UIRdY7RpZmB6V8b4cNxQGbwJLBWjHg8Pj5zhPfYeHh7tBqFVlCWx5FK9qskYm3L9AzC6w9zA7cCzqhydY/0vAYuSwoqF885/SkEX/l6MWnITBQ/5IGAFEioIibAC8E9XR2fgdyyIvRvmmb+lwSg2VaFEsqop2MQocdInEQZgk6m7gZNUW2I5Kh0jWL/cIfT1h8CDwEdu+xD4QpWpoXM4EdiwGe+Bh0dHgjfsPTw82hVClIWzgVGqXJpTvf2wScWcwM/AbJhHOzdNdREGYcHcXbGA3dVVGZugvKMwT3OAfVW5NispUxFWAV5w/yqwE3BXOEtxs6FEXoRBwGXAk6qckkL5c2CG/W/Azqr8t8x+gmXnPQ3rowtj/VMxWs+MQL/QNg+WyfcrbFUy177s4eERD56K4+Hh0a4QUBaAQ4BTnOGTKZzx9g5mDHUGZqfAPe/k2pIHwkGWiq0axIIISwHHYSsfEFL0yVDKNHydBFiqmY16KBmI/yZ2XXdwxnbS8n8ENsTiHsZGaTWOzrQ+ps4zErgEC4RdFBgOLKrKlaqcp8oQVdZXpQ9G19kC+JHivrxX0jZ7eHhkB++x9/DwaLcQ4WKgqyoHZlxPlG4RhgLfAdup8lyW7XBtCVYsZsWCI1dW5fMay1gdW30Ao4wMBW7Pkr8uwmwYfagX7dw77Az6d4ADVFuucxrlDsGyHB+LBfW/C+wPzIUF795RDV0nUmY/TLq0Xd+T/2/vzsPkrup8j7+/IRBgFImAVwQlkCAzkBGVgIAPAqMoYhwdYCSIyA6iiCiCCC7MdcGFRcUrbggugDAgD0xgZrzgBgoYkS0BhbDKNrig4jVAMOf+cU6lqyu91PKrqu7q9+t5+kl3ddXvd7pTgc/v/L7ne6RBYbCXNLAimEnumPK6lLi5i+ep7xRTk4CzgDPIs6PnkGdIv9CrWegIjgUWkGvtn2zyNa8h17rXL749NCXO7sIQa+cM4BLy7/D/kGeFzxnkAFnKnLZOiQMqPu6+wPl1Dx1Lfs89M8pLxjtekNdZXA2cMsh/J9IgsBRH0sBKiceBjwBfqKLsYYzzPEIuI/kFsCNDJQ7vSomlKXElubb6QOD8TncibcHp5LaGXxjviaVk42jgO8ABDN+grdubar0DmAWcUH5fJ02BAPlt4M0RnN5EV5pWNHavWa/dUF9sQy7tOnQK/J1Ik57BXtKg+zp59vktXT7PrUBKietGCqYpcQ859D9FroV+cZfHQ7kzcDCwUwSHjPa8sqvoV4DDgB1S4lJ61EIygn8kl4ksSImnunWebmlzwynINezrAO+luZaTzapvObqCfKeoEwuACyf7WgdpqjDYSxpopab4aOCzZbOgbnkAeNE4Y1lGLjM5E7g2gn/p4nhq53yCvAHUpyLYpvH7ZbOiq8gLbXdMiXvL67q1QLb+3GuTWy8elxJ3dus8VakP8WW/gD3I5UNfBe5uMdzXX2hVsii1nP+H5cvl5K5Ibc+yRzCN3Bbzu52OTVJvGOwlDbyyQPGnwAe6eJpHgZkRKzcgGm0sqezO+gbgcxF8quzA2jUpcQdwJHBxBOvVHi+db35OXij7L33YZO108uZH3+zlSesC+tbNzraX5zxIDvEPkf++v8TQuoqWNpwir/2o9/fjvXfGGd+LyG0va3sOrA5s2e7xih2AP6bEkg6PI6lHDPaSporjgXdFsGk3Dp4SK8iBb+Mmn7+IXL+8DfD9COa2WdLR7PguBi4GLi0XE+8gL4g8sZQOrejGeUcTwV7kvupH9rLMI4L55L+nrwI30/xs+3EM/T8zgGOANzU85xdNjmFaef1R5PUYLyG3Ff1RBC9o5hh1x9oggtPJP8svYeUi6SrWRiwALuzwGJJ6yGAvaUpIid+QO9Sc2sXTjFuOU6/0IN+dXJ9/K+2VdLTi68BO5DsXZwGHp8QFXTrXiMps+QeALwP7jrahUhfOu2kEF5J3zW1cSD3mbHtZeP1K8iJSyKF5IbBdw1PnNTmct5LXWnypXFTdRg7RlwM/j+AV4x0ggnUiOJk8878GsFVKHA1sRgVrIyJYDfhXDPbSpGKwlzSVnAbMi+DzXQrPLQV7WLkGYAlDYbPVko5WHNjw9bZdOs+Iyu/8HvKuwOsCv+nBOWdGcCp5Nn0x+Q7JsoanJeBtEbxslMO8hfz3uj3DQ/NChjbweoomZshLuc3HgePr71SUEq1PkneBXRjB20d7fWmVeRd5gfO2KXFULcRXuDZib/Ls/186PI6kHjLYS5pK1iVvgHQ0cE8Xwn3Lwb5YyFDYTMBzKxvRcGfDsJKbHSN4TpfONUwEM8htN2t15NPpwgVMuSPw/gg+EMGHyDPa6wBzU+JjZXFwrePPS8ufs8j16VdEcH4Es+uO9wLyAt/nk9dpXJkSj5SNwF5bfg7INe3NLM5+J3BbSvxkpG+mxOXALuRdk0+NYONSorVxBIeSA/3OwGtSYv/SbalS5d/F+cAm5DtIcyLYofzMkiawri7YkjSYyv/g5wKL+7DgshPzGVrsuCZ5VvLMCo//AKuWZ4yrBMXZ5KC7BPh2BOsAH6my/jwllkawBbkDy7fJNd7XR/DPKXFXVeepV8pY3gKcQt7B9CnyAs+Wa8BL4JwPLKzNSJeSkQ3IwXtLcqnNauUlK8gB+If1xymvrW24dUv580sRfItc+35DBBeQS6O+TsPdlAguAm4g7+5aMw04L4K9UuLBUca/LnACsOtYP2dKLIlgO+BSctedaeQLvuuAt6TEdWO9vgLzGZr4Wwu4ifzvZUkEO02yf/PSlOLOs5JaUkL9fcBM4HHgs8Ai4NaU+G0fhzauEgzvJoeVZ8jlGf9U2lBWcfx9gQ+Rw2Qn9c3PA64g190f0eEGQ+Od6whyH/n9UuKqio+9I7n8aQ3g2JT4Ufk72IMy893CsTYk74A6gxzYl5AD/frk9+Gj5DC6VcNLW941t7QA/ThweMO3lpFn+2cBP2b4TsO1nvF7kgP5pxtbeEbwKWD9lDi0yXEcQV6LUNPVHYDrzlv/76Te08DOKXF9t8cgqT2W4khq1Vzyhk9BLnF4OXl31zsjeCSC/47gsxHsX9oJzhjrYL1UgmStDGMTclC8MGJYQGtLCUPnkGeN74tg6w7G+Rh5VndD4LJu9t8vrTf3Ab4Twbuigx1669pIvqLMan+X3BJy25T4UTlfuzXg8xlq5TgNuIy8WHXtlHheSryE3GXnybrXPEkbnWHKBWpjh5tzGaqtXwzcTg66d5AvbrcogX1z8p2bayO4qFa3H8FO5BKwVjaMupze7gBcf1fkjbBKD/zHwdaX0kTmjL2klpQZ+2vIZQh3QL41XwLhxuTWffUfm5EDwq0NHw+TyyeGlVb0Ugn0lwG/Aw7spOVjBIeRSzdqlgObdDhzv3o55pbA/G7eEYlgM3KQvBZ4d0osb/H1tYWxtRr6TwEfS4m/VjS+2QwFzWWM0vWljGPf8uUF7f7+G2atVzlf+XewFbBkpNKUCJ5F3sn32HKcV5VvrSBfBDS1cVS7dzjaUc71ACOX6SbgZSmtLF2SNAEZ7CW1bLxQ0/DcNckXAfVhf2tyHfRM8sz/qEGt2yLvfvp9cjnR+9qtaS+h6H6Gl2d0XDpRLpg+Rq5T35/8++vKhVCp6z8PWA+4CLiw2fOMcGFTadlIBEcDrwO+Rw9Cbjlnx6G63LH6D/LdhJrPp8QxFQyxUmVvg7NG+NYVwDGd7GIrqTcM9pL6orTsO63uoZ7UD48ylpnkmukLU+ITbR4jyIsb55EvWiq9WIngBPJmRl29EIpgI/IFSks/Q8OM/TPAq6pa5FkW/N5Afo9cXMUxeymCOeSFw7Uyp6eATftxITuWCI4j32mpL9Pt20W3pNZZYy+pXy5gqH54BbBnr1ovNkqJx8mzwQdHcHy0twPs28g14LOoYIOgEfye4d1Z9m1znOPZg6GuMk331C8/6z+VL6eTa8zndDKQUrP/UXLLyueQ10N0dMx+KDPdH617aAbd26ugLRGsQe6S9M8MbwVqqJcmEWfsJfVNXanDVcBx5HC9d7/qeMuOn7WOH63MVj+XvJjyjSmxqEtjq6/5rq0FmNbKOFs4T62kqKVjR3AKuZ1jzZllN9R2xrE58GtW3SX2kylxUjvH7KeGOxp/A2aN1hazH0oZzptS4vX9Houk9jljL6lv6jqk3J8SR5FnNa+K4KA+DekldZ+3sgPsp4F/71aoh1U6+pzI8D7jlc3+lvNcDHyT1i8Yrqg/FLBfaQHajjNZNdTXWkpOOuX3uBl5VvwnwFnd7HbUirIO4ETg5D4PRVKHnLGXNKFEsCU5WF4HHFVVj/kmz10/K57Idw++N85rdiKXFW2VEn/q/ihXjvNBujNj/2zy7/69KfF/W3ztOWU8j5MD+HOA7wA3A+8sJU/NHOeV5EWy6zDUZQdy+8rNJntpSOl29DXyovKudjtqcjxHku82TajyIEmtc8Ze0oSSEreTd29dG7iulzXVDbPi/wp8uewAOqJSl/xlcseQnoR6WDnOs8gbIVUd6q8hdzw6vXzd7Gt3JNdnfzwlTkqJpSlxI7AN8Fvg1gheXerm318+VlkfUGaxzwWOIM9wf6vu22sywWrT21FaiR5E7sb0swheEsEOrfy+q1Jm6z+Is/XSQHDGXtKEVLrMHEkOHEekxKV9GMN84OvAbilx2wjfPxHYkTzb2dP/mEbwXvLFx14VBvsdGNpRteldRksgfZh8p2MxZW+Dhue8jjyLvwFDfdJXmYGP4EzgOSnx9vJ149qCOSlxbyc/50RS2njWukMtYYTfXZfP/xHg7cDutrOUJj+DvaQJrcyYX0Quz/lgqxsnVXD+BeTgtXN98CkbJt0AzEuJ+3o8pg3Ju+bOIIfjDwPndRrwR9t8rInX7UCuG5/OGBcEERwDnNHw8Mkp8W/lZ3o/sACYW1+2U7fI+nXki469U+JvbfyIE06zv7s2jvts8i7RvwKeBWwEvKDhz82B7ctLWto4S9LEZLCXNOFFsB7wbXLN9T4p8VCPz38YeXHh/sAbyDu0fg34Xkp8pJdjqRvPVxserqTWvpXNxxpeM+4FwQi70z5D3vX3fuDlDN0pmDXKrrJrAP9F3oF2EX3asbhK7V5MNXHMRcAW5LUi/0Nek/EQ+c7KQ+Vjd2CfupdOyo5DkoYY7CVNChFMI9cCvwvYPyWu7vH5P1nOX68vm/c0lKfU6+cmX01dEJSx1zrlXEAO9l8A3lH3tFF/jrJZ1R30ecfiKrVzMTXO8ZoqqSrrV37N0Hq7l4xUciZp8jDYS5pUIng1udPKF4FTUlrZ073b5/0GjNiGsy9hui4gf4I8Az7qTPdE13ChMmZYj+DTwPF1D/XtYmaiauUuQAn3B5Fn91cH9hyUMidpKjLYS5p0ItgIuJBcX74Q+CG5k05HpRkl5BwCnN1QTz8HuGuEl/R9xriuNn0v4B962R60SnV19FeOEeo3ILfOXB9Ygwnw+5+oWr0LUMqc/pO8gPc9vV4MLqkaBntJk1IELyTXa0+vezgBd5ID3zPA8hH+HO2xtck19DU/K4+tBzyfPJtZ8zjwIeDSiRIqI7iYXFaxEFjcy84qvVBKsa4AbgU+xzgXAWpdBOsC15IvbBsXOUuaBKaP/xRJmpB2Z9X/hgW5bvtychCfXv6s/7zxz9rnezYc637gVOD35I2WbmZoJ9S/A345wULlh4HbyGUqSyJ62zaxB44Hng18qHRGsvymYinxxwjeQO6tf/94m7NJmnicsZc0KY2ygLTt0oyGcptVWv9FsDXw38BMKupeUqWyYPIaYDUqbJs4EUTwJvJGVbumxC/7PZ5BF8HLye/1N46y6LbWSnPg7gxJk53BXtKkVVeX/QtgHh2WZkRwKblDyLEj9fOuuntJlbrRNnEiiODvyT8PWFPfM2Vztm8Al5Bbq84AtgReChxIvmt1GwPyPpMGhcFekooILgHOT4lL+j2WdkzkC492jdCz317rPVDuYN3JUPnZbcBNwF+Aw6l4Qy1J1Zg2/lMkacpYG/hrvwfRrpR4IiWuH5RQXyyElZ1+lgMHRXB+BJv0cUxTwSEMhXqA/0iJA4ATyJ1znibfSVnSh7FJGoXBXpKGTOpgP4hK2c1s4FBgE2Bz8kzyLyP4ZLlLoeqdDcP2iPgF5ItHYCdgZyzDkSYcS3EkqYhgEfDOlFjUxXNsCMynw577U13Zy+ATwOuAjwDfcGOlatVtXvU74GBgm5R4ur+jkjQWg70kFREsBhakxOIuHX9DchvN1YGngE0N952JYBvgdHK3omOB67FjS6UiCOAy8p2SX+NFqTRhGewlqYjgHuA1KXFPl47/eeDouod+B1xMbi34g5T4szP6rSvB883kfQfWJ5dULcFSkcpE8DJY2WrU7kTSBGWNvSQN6VqNfQRvBd5KnqmHHI72BpYC7wQeiuA64EFyF5i7S8jXOFIipcSlDLVhnE5u+7lVP8c1YObVfb4Wuc2spAnGYC9JQ7oS7CN4N/BpYBdgU/JC0Nkp8eOUOC0lXgv8L+AGhv67bHhq3c3AYuzY0g0Lgdot/mXAlbVvRLBhBId5ISr1n6U4ksTKco7lwFopsbzCY54M7Au8NiXuG+f59TX4lju0YRB7+U8EEexG3qzqFODc2vuy7Mh8I3nHY9+zUp8Z7CUJiOBFwD3AC6sIJhGsBpwJbA/snhKPNfm6LYFFwMtS4s5Ox9EPJVy7gHVAlO44d9U99CVyCdnTwOfJob7mm8AHDfdSf1iKI2nKKzPlvyYHlI5r2yNYAzgP2BLYpdlQD5ASt5PLHHbtZAz9UkL9NbUP+8wPhEMavt6KXFL2doaHeoADcH2I1DcGe0nKXWjWLJ93VNsewWbk7iHrkGfq/9zGYb5B7hs+Gc0F/pEc+FzAOhgub/j6gylxNLkTUW1X4Po9BFwfIvWJwV6S8sLA2sY7wxYGtqLMUi4lh9ldyL3V2/F9YKMI5rb5+r4oP/9R5LUKLmAdHI3vwy1hlV2Bt6n7ftv/hiR1Znq/ByBJ/ZYSj0TwReDFwOEd1AfPB6J8vha5/eIpbYznbxF8k7zr57FtjmVczfbMj2A6sG75mFk+Gj9/AbAfecLoKWBP4CfW2A+EB8gdcYKG0F7eN2eXRbT/D/gw8F1r7KX+cPGsJAERXAZ8KyUu6eAYGwJ3k0P9cuAJcrA/I6VhpQrNHGsO8FPyYt6nx3t+G2PdHLgNmAE8Qy7/WYORg/vawJ+Ax4E/lj/rP/8jeRZ3v7pTHJoSZ1c9bvVeBBeS77w8BFzZGNrt5iRNHAZ7SQIieADYNSXu7vA4G5Lri68kB+KvAc8i18z/nhZ2lY3gx8DnyuZLnYxnb3Io25RcMrENMIsc5GsuIu+AO1JwfyIlVjRxntpFjeFuQETwCuAqcpempaM85zDypmo1XtRJfWKwlzTlRbAeudXlzPECbBvHDnIN8qfIC2qn02TwjeAA8m61FzPCxUAEawEbjvHxQko9NLACOJfcreZGcmC/kwqDeP1FjaF+8mkszYpgY+A+xulRX8pwbq576KUpcUsPhiypgTX2kgQvBW6pOtQDpEQCvhbBusBnysO1riHjzWpeQw7jrwWeieBycmlMLbivBTwKPAw8Uvdxbflze4aC/TTgZylxbu3gEcymwiBeq7fu9DjqnhLeDwaeD3w+JZaWPRfmkd9vqwN/i+B2YAuG2lmO9Z7druHreWCwl/rBYC9JOdjf1OVzLGWUBYhjeHXd59PJs+xfZijA/6FcOIwogpuA9zM0Kz/snAbxqaWs27idHN4BjopgKbAxeeFr7fHVyC0uvwEsZpT3T52F5AXTM8Z5nqQusxRH0pQXwXeAq1PinC6eYyHwI3I4b2qGvIq6dctjBCs3DrsHWL/hW18D3kNeLL3Ke63Z90953k3AgSnxX134ESQ1wWAvacqLYDHwtpSG1Ql3esyV9crAc4GrgVkp8WQbxzGYqyMR7AD8hFXv1O+YEteV53T0XovgFCBS4oROxyupPQZ7SVNaWYD6e2DddtpKjtQLvjx2H7nrzDJyOcMPDDzqlzJjfw15s6nV6r5VWQebCOYBFwAvHqtETFL3uPOspKluLnBnK6E+gohgdgSHAw+SW/3dXQI9wPsYaiW5FrAt8J6670s9VTYK243c9nR5ebjqevgbyXX2H/W9LvWHwV7SVDfmwtm6EL9PBJ+J4GrgD+R6+SMZ+u/oWsAeEcwC3g6rXCisSS5zkHquBO3zye/1TcgtWKvea+D55G5NH2X4ha6kHrErjqSp7pXAmiWEPArMZmgTp22Al5N3kL2xfJwK3JgSj5XX3EMO7U8BPyZ3E/kkecOnBeXzNbFbiPqkYWfYJwG6tIHUfIZyRbMtXSVVyBp7SVNWCTwPkVtQrgD+zPAQfyMlxI9zjA8Ae5HD+03AglqNsYtf1W+92hm24ULX3YelPjDYS5qyRgg870uJM9o4zhzgrvLlCmCLlFhawRCljjW0TV1BvhA9r8PubMwAAAbNSURBVBuhu5zrBuAdKXmHSuo1a+wlTWULyTOLlD+/2+ZxDqn7fBpwUCeDkqpUAvxs4Ljy0GfpUg18Odd/AnOqPrak8RnsJU1ZdYGn04WEZ8PK9n4roHsbXUntKO/tP9Gw2LtLp7sBeEWXji1pDJbiSFIFIlhAngnd1TIcTUQjlOTMSonfdOE8WwGXpeSsvdRrzthLUjVuAf5qqNdE1XCH6ifAvl061a+ADSJYv0vHlzQKZ+wlqQIlxNyZEs/t91ik8USwGfBzYLuUuKcLx78aOM0FtFJvOWMvSdX4A7BOBKv3eyDSeEqY/wxwVgTRhVNYZy/1gcFekiqQEivI4X69fo9FatIZ5N1iu1GScwOwfReOK2kMBntJqs5vgQ36PQipGSmxHDgMOC2i8hKyG4DtIswZUi/5D06SqmOw16SSEj8H/p3c0anK4z5K3sl58yqPK2lsBntJqo7BXpPRScBuEexS8XGts5d6zGAvSdV5DIO9JpmUeAJ4N/CVCNas8NAGe6nHDPaSVB1n7DUppcRlwGLgExEcVjaz6tT1wCsrPJ6kcUzv9wAkaYD8Ftiq34OQ2vRx4EYggCcj2KxsatWuh4Ctga8CyyKY3eHxJI3DGXtJqo4z9prMXg0re9qvSedtMHer+3wtYI8OjydpHAZ7SaqOwV4asrDu82XgLrRStxnsJak6BntNZucBy8vnTwIXdHKwUnazHDgCLMOResFgL0nV+S3wvH4PQmpHCd77AHdCx/X1NdOBsw31Um8Y7CWpOr8HZkawWr8HIrXpVmD1KoJ4BEGu2V/R8agkNcVgL0kVSYlngD8Bp0Uwp9/jkdrwMLBRRCX5YDVgRUqkCo4lqQmRkv/eJKkVETwbmEvu+/0XcvnNpsD2wBnlaSuALVJiaV8GKbUpgt8BW6bEYx0eZwbw55SYUc3IJI3HPvaS1IIS6n9K7le/nBzg/wrcC/xd3VOnAQcBJ/V6jFKHHgFeH8H3yq607doIIIINrbGXesMZe0lqQQQ7AD8GVicH+91T4gfle3PICw9rdcXO2GtSKReuDwJrA0uAndoJ92Wn2XuBGeQOO1UtxpU0BmvsJak1i4HbgafLn4tq3ygh/sXATcBXDPWahOaSN5OaDvwD7e+kvB+sLMGpYrMrSU0w2EtSC8rs5U7Azowwm1nC/JuBfSJ4fZkBlSaL+gvXO8iz9u2YWdmIJDXNUhxJqlgJ8/eSw81ttFnOIPVDef9uBSzpoAznAYbW8T0FbGopjtR9zthLUvXmAuuQ/xvbSTmD1HMp8URKXN/Bxeh8hjfnONFQL/WGwV6SqldVOYM0GS1q+PrqvoxCmoIM9pJUsfHq8KVBVcpwvtjw8Lx+jEWaiqyxlyRJHWtocVmzDJhtKY7UG87YS5KkKsxneKg/F0O91FPO2EuSpI41zNgvB7ZNiVv6OyppanHGXpIkdazMzO9QvlwduK6EfUk9YrCXJEkdiyCA/1330FrAHn0ajjQlGewlSVIVTgY2B54sXy8DruzbaKQpaPr4T5EkSRpdBCcDewOvAlYjz9Rf6cJZqbdcPCtJktoWwUeBfYBdU+J/+j0eaSpzxl6SJLUlgg8DCzDUSxOCNfaSJKllEZwEvJUc6h/t93gkOWMvSZJaFMGJwP4Y6qUJxWAvSZKaFsEJwAHALi6OlSYWg70kSWpKBMcDB2OolyYkg70kSRpXBMcBh5FD/cP9Ho+kVRnsJUnSmCI4FjiCHOof6vd4JI3MrjiSJGlUEbwXOJK8UPbBfo9H0uicsZckSSOK4BjgKPJM/W/6PR5JYzPYS5KklSJ4NrAzcCAwD3iVoV6aHAz2kiQJWBnqFwFblIeeBJb3b0SSWmGNvSRJqpkLzKn7ek1gjz6NRVKLDPaSJKlmMfCruq+XAVf2aSySWhQppX6PQZIkTRClHOdVwCbApW5EJU0eBntJkiRpAFiKI0mSJA0Ag70kSZI0AAz2kiRJ0gAw2EuSJEkDwGAvSZIkDQCDvSRJkjQADPaSJEnSADDYS5IkSQPAYC9JkiQNAIO9JEmSNAAM9pIkSdIAMNhLkiRJA8BgL0mSJA0Ag70kSZI0AAz2kiRJ0gAw2EuSJEkDwGAvSZIkDQCDvSRJkjQADPaSJEnSADDYS5IkSQPAYC9JkiQNAIO9JEmSNAAM9pIkSdIAMNhLkiRJA8BgL0mSJA0Ag70kSZI0AAz2kiRJ0gAw2EuSJEkDwGAvSZIkDQCDvSRJkjQADPaSJEnSADDYS5IkSQPAYC9JkiQNAIO9JEmSNAAM9pIkSdIAMNhLkiRJA8BgL0mSJA0Ag70kSZI0AAz2kiRJ0gD4/6UWt9PwJkiaAAAAAElFTkSuQmCC\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1694,7 +1677,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "This looks like a spanning tree. But can we be sure it is a *minimum* spanning tree? \n", + "This certainly looks like a spanning tree. But can we prove it is a minimum spanning tree? \n", "\n", "1. The output is a **tree** because (1) every city is connected by a path from the root, and (2) every city only gets one parent (we only add a B that is not in tree), so there can be no loops. \n", "2. The output is a **spanning tree** because it contains all the cities.\n", @@ -1709,7 +1692,7 @@ }, { "cell_type": "code", - "execution_count": 52, + "execution_count": 51, "metadata": {}, "outputs": [], "source": [ @@ -1737,21 +1720,21 @@ }, { "cell_type": "code", - "execution_count": 53, + "execution_count": 52, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "mst: 1089 cities ⇒ tour length 58059 (in 0.911 sec)\n" + "mst: 1089 cities ⇒ tour length 58059 (in 0.879 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1813,7 +1796,7 @@ }, { "cell_type": "code", - "execution_count": 54, + "execution_count": 53, "metadata": {}, "outputs": [], "source": [ @@ -1840,7 +1823,7 @@ }, { "cell_type": "code", - "execution_count": 55, + "execution_count": 54, "metadata": {}, "outputs": [], "source": [ @@ -1869,21 +1852,21 @@ }, { "cell_type": "code", - "execution_count": 56, + "execution_count": 55, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "exhaustive: 10 cities ⇒ tour length 2720 (in 1.614 sec)\n" + "exhaustive: 10 cities ⇒ tour length 2720 (in 1.611 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1896,21 +1879,21 @@ }, { "cell_type": "code", - "execution_count": 57, + "execution_count": 56, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "held_karp: 10 cities ⇒ tour length 2720 (in 0.034 sec)\n" + "held_karp: 10 cities ⇒ tour length 2720 (in 0.032 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1930,21 +1913,21 @@ }, { "cell_type": "code", - "execution_count": 58, + "execution_count": 57, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "held_karp: 18 cities ⇒ tour length 2771 (in 45.141 sec)\n" + "held_karp: 18 cities ⇒ tour length 2771 (in 42.475 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1983,7 +1966,7 @@ }, { "cell_type": "code", - "execution_count": 59, + "execution_count": 58, "metadata": {}, "outputs": [], "source": [ @@ -1996,21 +1979,21 @@ }, { "cell_type": "code", - "execution_count": 60, + "execution_count": 59, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "ensemble: 100 cities ⇒ tour length 12467 (in 0.337 sec)\n" + "ensemble: 110 cities ⇒ tour length 14727 (in 0.388 sec)\n" ] }, { "data": { - "image/png": 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\n", + "image/png": 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CVrRJ+vUo0G9B24Uti798+Zskge4I+hHo7VFUGKDVQS8H/Q70JtBawR07eHNfVWsRMkNVGvdMxaVzk73g7EdU/7k0r0KGgAhNgI648qmpvL8a0Bo4BugCRx9fFaNfMqGsOe6XzXDvobDnaaq8l7/zphPJN3c4XH4kPNA415sCVVktQjdgKrAFZ5YLjbJ99vMmuKcxtPwBOEKVT4M9W9vAzX1VjrC1VeYzAT0Z9O2w5cjTtRaB3l/J/wW0OeiFoOO8mfJC0L+Cng5dnrOVRaLZ4wXLcz17zHbWChMHwpVf+q24czTedgGdBzoiWvfqom/SvfYSa0VPH2uF1vQqOj4EN2zOh7kvzi10ATIfTFrTi4CoslELJTbUGzfD8RPLDfSGoGeB/h10Kehy0DGg54E2qXgcW2KHVxI1u/OCXgn6QH77ShuAfgo6LK73yn/c918ELwwA/Qfo96DvgQ6D7hNsQlV5i5QZKh1U2SLCE8B5wLCw5Qkan02Kf4ArDxX58FU4qB3QAHgDZzK4C/hU1T+KpaIJr1Bz9Ie1GS3ReQ9sL8KBwMeq/FbJAfYAvsyZeD6oslKELsAbImxR5Z58nh9a7pv9vfJNL78n3HQ79Lgdl0roCwCRGU1hUOty+7is6FEpYqssPP4BTBVhuFa5NNl+A/2+BnDZfvD3/sAcTaMWQWX+oMIhrM1oic772xbgaWB7EV4FJuMqH/4etukmDQN6wYZ1IvP2z6eSV2W5pzDeFOEXVe7Px3lF6AO7t8r+XiVS0ovnq/JA6b/ahCoFwl7aZL9c1XdATwpbjuCvKz8hk4XUwjLHJTCHlAoL12agg0BfBP0R9F3QP8Lfe0TBfAjaBLdZ8ZIcn0dArwH9Au7vnu21F3q4feD3J2wBsr4A59R9IWw5gr+uYAZ6ZQ6+QmxwUhsYuSXf/VE2LHzoSnj5Uv/36VagR4OOgutWR+Vh5ym0ZfCf63MxnkBrOEez/hdvB31lofSp93n/0JVtVWmhC5D1BaD1QNeA7hy2LMFeV/azYHNs+46Xw0A/CFmG00DfSP6+aK0u4ZYjYciWIMZT2UlM56dh3uugU0C3C1bmp8+Ea77PVyRZVW6hCxDMgPj4eTh3dlWbPWc/s7JleMU+0QGgT4YsQ00veq1VnO5fsKvd8pOYwWthrxY56Ou/gN4Q5v2uKi3uDm7PAXhae/hLo6qWjTZ7p3TVTEWdJa2AeWEKoC6S7zFcuvnLE79z7nAY1D46ETp+4+l7oFZXkV5TU99s6Be8MaoufHgzAQZheJtTTwW6BXXMQib2ysINvAca2c5LPxJF4Xy7IiSBokBr4OGwhcCl054jwvWaoGZG2QidnZvBdw2h7jfQpkikXgiROuXH0zJcjah/7wp1di2ZqDU9Dpb+DOzu37rsl8tJTMnO7xZ7Q6O68NAmWBvEoQubsJc22bao2XWj1Nxy/5wlZZf7l22ET2eDNg1bvnD6RJeBNg9bDk+WCaAXpHYfw/c9VZRjuPqbpW761TOzvQv6POi9oFd5vpr20PVfuTKvRaWvqmILXYDsB0e07LpRay565bLFJX6P+s1Ah+JSgpwRtnz564e6TeHIcTD816hkFAXtDvoBSZL2RWmMl/Wj/WGl/0St17Tkx8jNAz1KfVXVWugCZD84bjvapdu2mYR//+iLoGf6/P0gXIrnx0Hrhi1nbvsgmrNN0Gqgi6gk4y3objDwsyiunrN5MGcbvFHJ8VbDzQpLI9VXVaGFLkB2A0Rru7jsqTcEOfCqSgOthdvkVT/B/7cF/Rsu6WAkU3QH0w/RnW3C23fApYtKR/KB7g16Hegs0NVuZZhc/nzvqYmKEvaX4zyFK9QpjvmRuNdxb6ELkN0g0cdAxyZbxhdqA+0KOjOF9/XGFf8ZBlo9bLmD74do+rXcQ+7sxWUfclf+DAtX4jaodQWt6f8wHPg91O1UohzajYdTl4azOz3ciVriycDNxf3wM9TtFPY4jHuLbTSUCOfiajwcqhqPMpAhcALwcrI3qfK8CO8CY4BjRThbI1VaNFtWfRtOTqhktCmC0c3KRvIV1YRjX1edMbjkfeXzFq37Aa5vB4yHe3YqCasdgQtlrUO+ogKDyjmWeb0PSBwi/pv3+khNWDQIeDtbOQuZWCoLEdriMq0epcr6sOWJMCcAZ6byRlW+9JLGDQM+EGGQKuNzKl0eEKEGjN4VrlsLo+pFY79CMYkecrtWCCEt/1AWOfYFGN+jrKK5FbibkppF8dhT45NhmfT2SiUKEa/m/RyPfog61ZK/JVqIUBd4DrhKNdzNVVFGhObAdsCcVD+jyq+q3AacAtwjwiMi1M6VjLlGBAEehlY/wWsHQ7ex0HOae50QgU2bxQ+50qS64qm7feLZdLrHCpsD7/CvUtemKLXPzx0Ol39d0pcbcArz3FK/x6Efok2sVhbel/9RYLoqT4YtT8Q5HnhFK6+T4Isqs0Q4ABgNfCDy0FAYe2ZmJoJQuQE4GDhS9fN1RG6TZjY7tBOmPS/1cxRWT/6IUAs4DjgDOvfOZpOe27w4cyxcfTIsXw0b28IDdaEJUe+HOBErZYFLj7Av0CFsQWLACcDfM/2wKmuBfiKvXgmLJsKU6nFKpyJCP+BCoKMq68KWx4/saij4KZqBX8BOjaDnW5nWY8jOd5Ds2FQHjgbOAHoAc4FxMKMmbOidnU+pY1voeKMqL7hrON/qUgRN2B721CMe9BDQ70D3CluWqDcvpHgtAWTwjHLYaSXX38XbdNg6bFlye52lI5HajYdOr8INmzKNSspFKCyuRkUH0AdAV4DO9jaFNi573jOXlj3vmUtTr1Gu1amCmaej1iK9siiZ5TTeA1ocCIdfq3rigrDligFHAR+q8mP2h4pXMkIR2gDjgD5axX1axU5vHwfxWZmt/vwS/KUfUeWZi/cD+uJWERtxFQE7q5Lg+7sRuBPnRv3N+z1l9gNWqPJdOh8y0iOyyiJBhMRQkb6vBLcszt2SO2RSCplNjZ83RTPstCIiNAJeAq5UZVrY8uSPYB7y0KhxNhMDEfaiREFsg1PapwD/Va0svL1NEYxpUm6MNYFuqcp/BPBWKjIamRNZZRHcF8Cf7MP1ook3qzsR+EMAx2oG9x0MV6509b+jFHZaFi9K7iXgEVWeClue/JL96k+E7tDy4HQnBiLsDpyOUxKNgWeB84FZlSuIQOXvDLyY4nuNDIlw6GyuzR+JlFGq4XqRZW+gOhnWbBCp11Sk4xiRPtPhhjnw1Wh4pkP0wk5LEKEmLpx6Fs6W4fOe4uvqNdW91muaTxlzS+YhuCLsIsJYYDQccImbCJQOQb16A2yqU7rfRNhZhItFeAsXmr0vcB3QSJXLVXkndUWRtfyCrSzyQ9hOk8ROq9w6VuHCeVFMAZH59RQ7OwctgEs+j4qDM/fXreKlfXkJtEbi68rcgRr1Bg33hCs3J7tvFXNHvTbUS/NyF2idsu/pMRU6TIABP5VLcb8BFv8I+hToH0C3CmbsZjbuvDxay8K+B4XQQhcg8SDwG0BDfoHHemR3XK0O+ie4fl3conzS66v0H/IxjXwa4UXYbJv4Pe3G+19Xu/Fhyx9QH/SDTz+oLEeT/xi54icYfWL646Hz08FfQ92mcMZ0uOrbdKK5QC8g5DK5hdJCF6DygVA+Sdnz53ohkYdldjzdzpuBToN+B8AlP8RpFp34uoKqjdxrWhxWWyXj4sL5cMM6uPiQBPe7Fuie0GOV/3Wdth70iNKz40wzt+Y742upa6yJS3N+VNBjJN8JGEFbg36W5meeAL0w7DFZCC3CDm7/JGUifAtMEuEkVd5L9VgitAAmAm8AV6g+uUXks8XQfxVQI96bdwJxcNaARs2iHvnkH5hw5SSR6X+DI7bFle7cw3utDyyHX7f1v671APcCLUWYDm9/BL3Phgd3TyfoIchgiQwi9AYAi1R5o/IjZzJGEu0Sz9V4aLkZ+jYXmf8GfP1Vit/HzsDtuZHHKEPY2iqTBnqSZ2v1nVH6vL+r9/6LS/1tG9ANoLXDvp7s+yOTWWPpmfDhY+HjF2D+W9B/UZRXW4mv9eJPvc1ep4O2B22El24dDhgPQ7ScSVPhgPHeWKgP2tv5evyOPXQl6BuJ29CV6fR/Sd8fOwM6LIZTZnqrkU7pmBO9MfwVKdQiyXyM5MeHle653Pu7vQA3/mw1bPLTQhcgY8Gdc+0b0IMreY+AXg66svwyHbQz6LthX0cwfZHJF638+y/fCJ32iUJ9gsqvNX3TiLumU5e6mtEj1b2eurSiXT/Rsc/5EPSoxO2cD1OVqaTv5ysMLafAuq1NT+noVaAp+V3ceS9cme6DP1/jIbEyGzQf9ArQHrjqjvXjGIhRFVqkzVCVocokES4CXhZ5eAA82Rd22RO+bQB1V8DGZfCgwAFtcPmBFpc7xOHAjPxLHjxlcwzt385FRE84NvES3i9s+PZtoNtw1bX9iFzCvdKkbxrx+uco+CZJvqBEx/58vlZi5hH5fD5sODA1mYr7/m7gj5S9B+3qpmoq8vaVXAcck0iu0rg++Og1uKw1rPkxVbNrUPUqkpPITCY1gRa469wDaAJDtoVra+RqD5aRgLC1VbYNJg6sWIN7qLqZ22XrobtvfiCco7tX2PIH3x/aFnRh5e+JZuW41K4vd7PKTI+dzueg//vuPSN9+r+4slvpv/mvLHBRYGkGMOgcMgwOyf19Td1MBqe9GdfxG+cWugBZX0DSkoq+X7RqoKtBG4Qtf/D9UbcpDN8EfWcmMhvEMUS24jXmxjSS6bFLPjdSnQ+ovIlL64P+FW7cWHZ8lr4H8xXOWJtI6ZSc4/S3YPhPcMuRqct25DgY/gt0eiqK5pr0FG68x29cW+gCZH0BCWfJxTM3P7uxtk42+45jS/UL5/++i3+I4kMkbg30B9D6pX6vDjrI86/dDz3bJvZZ9FtYUle7z9tOIVzTIZ17m+mYiEJLVVHH6ZqqUgtdgKwvILOVxUDQx8OWvaxMmcfp42LtW0Dv/6S+lC/9xTzmeViU8f4Va6X79Ib1Jau6v/cA/QD0LdD9KvZ9Ny8a6uQZ/hvp9A7Qv7mfM5tNV9VZeNQDMapiC12ArC/Ad5ZR7LNItIyN1kaeVGZKJQpBjwe9DFcf4BXQBaCbQZfA1Qk2nyW35YL2Af0EdOuw+yOOLUHGgS3wyuWgktkxdXtcDZd9M/Uzxdk/ZS1aLbbRUMWUjQTauRl81xC2XQHnL6kk2uNwEiScC4dESQ3rThZhCS4aZA9gObAAWOi9TvFel6iyWWTGGFfLIKNNVM8CpwE3A8OCuKrCwu8e3loDurVT7a6ZHFGVNSLcBRRlvkEu3xvrjCpL2Noq3w20Iegq0Gphy1IiU6LZ36AFuP0k+4DWSn6c7Gy5oLvi9qSYOSqwe5jdDJ7fN9797dTgfBYDvzezjbV0W+xXFungUimc+AQ0Upj5hEhU0nskmv19/K4qk1I9SnY1nUGVb0S4AviHCAep8lNal1HQ5GYGr8omEf4I518BQ7x7e3QvmD0Z3hmSyj6JsmNi41oY3Rke2TobuYwCJGxtla8W1QgKJ1e78XD6ZrezeGmosuF2vf8L9M6w71mcWm73f2gN0M9Aj/N+/x9o2yyON9hlqT18bL4TH1qLbwtdgLxdaASjQvwfMGdtdLmMwvvymjkqm/uZq/0f2hv0Q9weoRmgh2d+rPrNXHqXaE2crEW7FZAZKlE6gaN6ibAOeA2YqsqP+ZPJzyn6122g24YwzWNq5qiMyHFqjH/h0nucDqwD6mV+qJa3uvQuli7DSJ0Il1UNmkSlGz9+HRdRNBD4SoS3RRgpQnsRqudWplyXjs2KZ4FPcNFRRsioorgotSJgE1A386NFetwZEaWAlMXc4RXrCw9aBNMvU+XPqnQHdsFld6sHPAp8J8JzIlwowh7By5R57eFc4z2cLgHOE6Fd2PIYoMp/4JMVMPJEGPjHzGuJR3fcGdFFVDMKAY8lJYVlUosUEmE3oBtwrPe6GngVZ7J6U9VVz8lOnvJFcy5ZAuO7RCNKC0Q4AxgJZo4KGzfLbSa0AAATAElEQVReTpsODzQuVWRpEUxIq8iSO85ZH8DdO2ZzHKOwKChlkQ0iVAMOwCmO44BDgPdxiuM1YI4qv6V/3NIKbJdd4bIvoPUJ3sw+dEQQ4Hngc1WuD1ueZGRQaS42iHQcA1N8Nl12G6s6M2VfgxvLC5fAVfOgxtbxrhJp5IsCcnBnh6cIPvTanSJsCxyJUxxPATuKMAW38piiygpI/vAq7RQVoRYwG+gPPJGva6sMVVSES4D/ijBe0yhlm2+CLG8aTQLzNRwJLX6EiSdGZVJiRB9TFhnimaBe8hoiNMGtOv4A3CfCVzD7HTj9JLh/t1QeXqpsFqEfMEWEN1T5Im8XVAmloqMezyY6Kvez/kRpU6pKlE9gG/8GAH83RWGkRdixu1WxeZuo2sMFH2eWKVSHgU6NVkqS3zfr3ZHZ53O/KbKqJ80Log9BtwNdA7pz2NdjLV6tgKKh8ocqvwBzoGbtDM0GdwG1gMtyIV8mqP4eHTUgs+ioRLP+NkXBSVm1o3zcKmxCV+g2FnpOc69pO6XPAF5X5bvcSGlUVcwMFTCeI/xMoAhqVc/EbKDKryKcA8wS4TVVPsmdxKmjv5ujFowRGTAbdmlQmTlJhF1wgQCHQsfuuY/tnzscBrUv57NY5P5eNQhg498AbO+MkQGmLAJEhGNwq4Kfgf7w2JfwfXmHa0oPL1UWijAceFKEDqpsya30qVJvFpyzG0zuW9YP06cnPLMrTjl4CoJ6OIf9bPh6Pmw4oqLibLCbCLur8mW2krmkef17w6j3YP4M2OcwaDGgaji3s0eENkAjXPSeYaSFhc4GgAj7AaOAvXC7bP/lmW3S3ttR7rgCvAy8qxqN2WDi8M1RW+CWWTjl8L73uki9cGL/SKXBS+HS1+CQ04AXgVGqfJadfJwCXKLKcSJzxsH9LWDt2qoWRpsJItwD/KTKjWHLYsSQsJ0mcW6gjUH/4SXduxR0qxycYzdc/eZDw75eJ08iJ3LPFKrx+SfaA90R9CavKtxzoAdl0V/3gN7oznXBinwky8umJG7+7ptuBfotaIsoXXcc+s6ad6/CFiCOzYsoucMrolQEWi/H5+sDCxZC56fD/lLlMnsv6LagV7liPzoZtDNpliQFfR/0iHxlGY5q6nuffukJ+maUrjsufWfNu19hCxD1Vnbm0+kpePNmb6b/GGij/Mlw6boofKnyEwKrtUAvAF3opeM+MRWlAVoXdD3o1vkKo41i6vuK96vDGBj6PZw1M6j7lPi6T3rJKWvtDtoL9GzQi0GvAb0Z9C7Q0aD/hCuWRbnvrJVt5uCuBH87+/Ub4aOeqle8mj9J2hTBndtGYbNZttX4UjsHm4G/ifA40Bu4HbhdhDuA51T5NcFHOwAfqPKTSKINbM1bi3AsMAXqNUl3k6AIdXA10fdy7bAuUc3g6jN+O4C8nuqO9kSbKJ0vrcXe/tfdujOwHa6zS7f13ut3wFL388ZDo9p3hg9ha6sot6jMGqv6ZrPk168CegLo295q40J8apJ7JsFb3c9+K6D+C+GVy0HnwWdzEvk0QGuDtvVMN9eB/g30DdCvQTe5z+uLbpbcf1YUxkh647fHa6B7g26faMXm33/nLIEZd4J+Atevzea6QTvA9T9Gte+s+dyzsAWIcovKQzoqSisKzTNxvOI9uK9yfo5iU8u1a6DX6yWO84QO9WrQ503/Pr1xg6cQ5oNOxDnMB4EeA7oH5XbVR9nunnj8XrsGdAHoWtCfQL8AfQ90kqcYb4Nz3vfvn8ELQA/P9LpxJsY7QFfCpEFR7TtrFZuZoSolsFw8WeK32ezSZVVps1mqqDIdOF6EA4HrYfGNcBal0m0fA4NKm1oqmOlU+U1ky6/+JpBFc4DOmtjUVe5YxWa5bSbBVnXgw5nRCdFNNH6n/1v19+SVtYFdy7UGsF1D//5Z/qUqM2At6ZojRdgflyBzCbC/6knfiJw5OZcmTSNAwtZWUW5u9tR/URRmPmVnyefPgbmvht0/UWjQfUJm+beCXa2BjgM9K+z+qDhmMpu5B9k/uFxpN+BCo89JZPqyFu0WugBRb9C1FYzcUt6UEa5MWsszI5wQtixht0xNhUGbj0A/JCJ7YSpeZ0VTXGqfy75/QFuCvgP6OugeYfeHtcybmaGSMuUrYJMqXcKWpBh1qcwvBx4UYaoWdAW7zEyFQUZ1eTvt98LVco8UmeaSyrZ/vBxpg4GbcLmoRmsGxcGM6GDpPpIgwg7AYqh3YNQqsIkwHhcqGmDm1niRoOBRXkuEitAA+J8qO+fjfFGjYoht59Fw561AbeAcVT4PWUQjAExZVIL7EhxyFxx0Kny8CR6oC/sSlZrFIjQFPgAOViU0OcImm/xbwZyfzsAdqhyer3NGBX9lPeJX6P1n6HiDunT9RhXAlEUC/L8EN+FKTDQhk9rHucDLTHuwKj3ClKOQEeF84AhVzg1blnwTVF1wI/pY8aOE+BXr+SPweKnfGzYKQ7Jy3A20FeH4sAUpYFpCoZpaAqsLbkQcUxYJSfQlKPbRbQD2PkSEgSJsnV/ZSvCc25cBD4hQKyw5CpxIOrfzQ9WuTmiUYMoiIYm+BNUo8Vnscx5wMrBYhKtFqJtvKQFUeQWYB1wdxvmNQlYWc4e770Lxd6XqVSc0HOazSIC/z+KCdbDqf7B+SWknqggH4IoeHQOMBh5QZVV+5f3d2X2QKsvyee5CxY2RtkXQpS+89Rx8NCzsCLkwcP1w3huwcT3MmxOFSEEjeExZVEK6UTYitASuBXoC/wD+DPVq5ivkVoQRwIGq9MzF8Y0SohCymyqJsscGew5mAVepMjPI4xoRIuxdgVWx4Sro3QuL18DgH/OVLgR0a1xW1u5h90FVb3FJ7pivRIegy0Ebh3291nLXzGeRA1T5SpUhcP4UGFWvYh2KNjnZRKfO2X0FLHxY5IinRHpNFek4xs0sjWCJSxSQX1RfsGPQC6zYCVgR1DGN6GHpPnLKDvX9HygtW4kgquTABlhvHpy7M0zuW8o80j7VgjdGqmxYG42MxBURYXtgf+BAOOyYPCi1RsByTTFTrxFPbGWRUxJFVDVsDrwnwmkiVA/2nG2K4I46+VrNFCIi7A4PHQRXfZerKCCRek3dqjDx6lAEEWF3EU4WYaQIL4iwBPgKuAPYC1Yty0No6x7AFwEez4giYdvBqnJLbC+u3wz0VC8b5wLQgaBbB3POaBRsqmqtJHtrn+muwtv0okwzumY2bvovhD8fC9oP9G7Q/4CuckWE9BWvoFAfL8tr9eRjMEhZz5oBQ1ZGJSuztdy00AWo6q2yBwquXOgRoP8GXeHl/N8hu/PFw/Eap5bvaniJ7+H1P4I+AzoMtDtog9Tlv2E9nDEj90rNKt1V1Ra6ANa8G4G2Af2nN1u8O9PIEvcFvnyjfYGDvDf5VcC5WB2CLgFtFud+sRZuMwd3RFBlLnCOCHsAQ4D/ijABuEuV+akfaW01WLwJur8IOzewUpXZIUIH6HRifiOfclLO9zcC91G2bBWPiDAjCMzBHTFU+UKVIUALYBEwTYSJIimnvz4X9nxSdfqZqi90UZ3ZzxRF+ojQVoSJwDOw4tP85j+aOxwuWRKw8/w3CCaYQoRqLttx430sL1ThYMoioqiyWl1Ro6bAZOBJEd72Il9875sXWXUubve4kQEi7CnCGGAKMBVoCRP65jP/kVPuRw2FW1ZBz2nQbWwAO8MDWVmIsBPwMnAcbDja8kIVDpbuIyaIUAPoBVwH1ALuAp5S5eeSdA77tIGdd4eHD7bVRHqI0BAYAZwOPADcq8q6kv/nt8CSCAOAI1U5J6DjzQd6p2fSrHCMjsA44ClguCq/hF14ysgf5rOICeoqjj0jwrNAV1wOqiKRtx+HHmfC6GYlm/CWv26b8FJDhB1xfXkhbkW2jyrfl39fprWss2Bf4JMAj5fWyqJiPqk/LYVOFwLnq/Lv4veF0C9GSJiyiBmqKM5EMkWEg+G5f8HoJhU34S0qwr7ECRGhDnAFLphgPLC/Kl+FK1UZWgGPBni8lJWFf5LEGzfDy8eo3j4jQJmMGGE+ixijygfw1WKLSEkdEWqJcCmu/kRb4HBVLoqYogC3ssjYZORDGisLv3xSt9WCNy4OUB4jZtjKIvbkJMwy1riZcfN7YfsOUBf45h34cigsPwK4GfcQPkGVOWHKmQgRagMNgSUBHjYNZRGXJIlGPrGVReyxSmWlcYrimDfg6FPh37vCxF1h6qnQ81P4dDBwtionRlVReOwNLPD8VEHxK0lCZ4vzUcGWVs7XX7qGVmFPQAxbWcQe1bVLRep1dT4Ki0hxJpQ2TVzhwtJmlFE1odvnqjOnhyhcqrQiWOc2JFlZ+PspRuDcOjtRyBMQw2HKogpgESmlaby7eybG2owSdCQUJDVD+fkpbgVO+gY2v17YExADzAxlVCFEaA7N93fPxVjvLA7auQ1JlUUiP8UO8y0LgAGmLIwqggidgRnQ/R6Yu8yZUEr7cS5aFiMzSt7NUIlrr8RGwRo5xpSFEXtEOB94DuiveuSt8J+jYNqLzoTyh2+gy4sw6aioz46dg/mIp2BkSzji+oDL4f5Kpd93v0CJEb/C0NcDlMGIMeazMGKLlwtrFHAy0FmVz+B3H06PEEVLGx8Hc18Y1C7AnfiVriz8AyUGjodeD4qwM9R7ruyObvNhFBqmLIxYIkI9XI6i2kB7VVaHLFKW+DmYA92JnzTrrF+ghAjvwecvwzkj4M66Vte9cDEzlBE7RGgKzAC+Bo6Lu6IQoRW075bjCK6Mss6q8iVcOLdEURTLZXXdCw1TFkas8Op6vAP8HzBIlS0hi5QxIrQR4RlgGvyYawdzFinKd9o15qHIRgCYsjBigwhn45L+nafKA15SxYCO7XYvi/Sa6l6DcS77HdcrrPQc8DrwAdAcnuuRq5347lquagsDRmV2bRYpZWA1uK1Fv4FWA70DdBFoq+CPX7epq1MebN1y/+Neuh4WfQt6NWidiu/vMAZ6THWv2ddND+LactU/1uLVrPiREWlE2BZ4EtgR6KU+tSayP0fHMTDlrIrJGPu+AhNvwQWC1Cz3msLfLugL9x9Q8bgnjFN9s2/Q1+FH4mvrNlZ1ZsqOc7caOfhP0KknTHsG/nujObcLC4uGMiJF2aI769bAQ3vDXrOAPqr8nPzz1MQplh2B+l4r/bPP710b+NvkW3UC7gN+8dqWcq9+fyv1v2128D9u/V3T6JIsCSaDrKcYThfhU2CUKkuDkc+IC6YsjMjgn8zu2h/hwIlwwTFeVbtkCqAO8AOwCljtva4q9fuyiv9780+w4YyKs++3JqpmHrYq8kFD2NCk4nHzaesPPIX9LOAw4L/ZSmbECzNDGZEhscnkltUwajb+D//yv/+oym/pnddPSQ1aBBOy2keQq+NmL8OQlTCuQyYyiHAxcIgq5wcsqhFxbGVhRIhEJpMFH6tyXK7Omqs071FIH19Rhl9+gvsOhUczDTmeBVwapIxGPDBlYUSI8Kr+5SrNexTSx5eXQYThwOMiHJfuKgz4H9BEhO1U+TFAMY2IY/ssjAhhVf/yxJ3AtsBl6X5QXfW+D4FDgxbKiDbmszAiRUk0lFX9yyWu9gezgKNUmZfmZ/8ErFXF0n0UEKYsDKNAEeECYDBwWCphySWfmzQQpo2AZZ9bBtrCwZSFYRQoIgjwIjBfletT+0y9ptBzGjzUNKwILyMcTFkYRgEjwi7AHNymx+mVv7deU2gzFbo0cxvVzwWakMmOcCN+WDSUYRQwqnwrwkDgCRH2V2Wt3/tK7ddoVrKiuAnnI2+CZaCt+lg0lGEUOKpMAqYA9yd+l19xpj8Cj2MZaAsDUxaGYQBcBXQSoaf/vxNtmNyChTcXBqYsDMNAlfVAf2C0CA0rviNRTYupS8y5XRiYsjAMAwBVZgGPAo95kVKlSLhhsospisLAoqEMw/gdL8X7DOBxVUaX/V+9pnDGRNiqLnw4w/ZXFBamLAzDKIMIe+MUxuGqfFbuf+OASaqMDUU4IzTMDGUYRhk8BTESGOOtNErTEvg8/1IZYWMrC8MwKuD5LF4CZqsystTf1gGNVVkTpnxG/rGVhWEYFVBFgfOBi0Ro7/25IbDBFEVhYsrCMAxfVFkBXAI8KcK2mAmqoDEzlGEYlSLCP2BOLfjznlB/D3h3qkVCFR6mLAzDqBSRP7SBFh9BUQ3LNFu4mBnKMIwkrBpWoijAvT7S3OWLMgoFUxaGYSQhUV4oyzRbSJiyMAwjCYnyQlmm2ULClIVhGElImBfKMs0WEObgNgwjKV6VvCJnelppdbcLEFMWhmEYRlLMDGUYhmEkxZSFYRiGkRRTFoZhGEZSTFkYhmEYSTFlYRiGYSTFlIVhGIaRFFMWhmEYRlJMWRiGYRhJMWVhGIZhJMWUhWEYhpEUUxaGYRhGUkxZGIZhGEkxZWEYhmEkxZSFYRiGkRRTFoZhGEZSTFkYhmEYSTFlYRiGYSTFlIVhGIaRFFMWhmEYRlJMWRiGYRhJ+X8WIxPRMK6UKwAAAABJRU5ErkJggg==\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2018,7 +2001,7 @@ } ], "source": [ - "do(ensemble_tsp, set(sample(USA, 100)))" + "do(ensemble_tsp, set(sample(USA, 110)))" ] }, { @@ -2044,7 +2027,7 @@ }, { "cell_type": "code", - "execution_count": 61, + "execution_count": 60, "metadata": {}, "outputs": [], "source": [ @@ -2056,19 +2039,19 @@ }, { "cell_type": "code", - "execution_count": 62, + "execution_count": 61, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "(frozenset({(-3726.24+2437.08j), (-4401.6+2889.7200000000003j)}),\n", - " frozenset({(-3672+2492.9700000000003j), (-3684.96+2773.8j)}),\n", - " frozenset({(-5460.96+2934.57j), (-5628.96+2337.7200000000003j)}),\n", - " frozenset({(-4120.799999999999+2317.02j), (-5721.6+2359.8j)}))" + "(frozenset({(-3804+2908.35j), (-3847.2000000000003+1798.83j)}),\n", + " frozenset({(-3512.6400000000003+2915.94j), (-3623.04+2611.65j)}),\n", + " frozenset({(-4736.64+3237.48j), (-4761.6+2439.15j)}),\n", + " frozenset({(-3435.84+2840.73j), (-4353.6+2925.6j)}))" ] }, - "execution_count": 62, + "execution_count": 61, "metadata": {}, "output_type": "execute_result" } @@ -2082,12 +2065,12 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Next, the function `benchmark` takes as input a TSP function and a test suite, runs the function on each city set in the suite, and returns two values: the list of tour lengths that the function produced, and the average run time of the function. (Note that I *cache* the results, so that if you call benchmark a second time, and it has already done the computation, it just looks up the result rather than tediously re-running it.)" + "Next, the function `benchmark` takes as input a TSP function and a test suite, runs the function on each city set in the suite, and returns two values: the list of tour lengths that the function produced, and the average run time of the function. (Note that I *cache* the results, so that if you call benchmark a second time, and it has already done the computation, it just looks up the result rather than tediously re-running it. Note also that I round the tour lengths at 4 digits past the decimal place, because I don't want a round-off error to proclaim one tour better than another when they actually have the same length.)" ] }, { "cell_type": "code", - "execution_count": 63, + "execution_count": 62, "metadata": {}, "outputs": [], "source": [ @@ -2095,7 +2078,7 @@ "def benchmark(algorithm, tests):\n", " \"Benchmark one TSP algorithm on a test suite; return ([tour_lengths], average_time)\"\n", " t0 = clock()\n", - " lengths = [tour_length(algorithm(cities)) for cities in tests] \n", + " lengths = [round(tour_length(algorithm(cities)), 4) for cities in tests] \n", " t1 = clock()\n", " return lengths, (t1 - t0) / len(tests)" ] @@ -2106,12 +2089,12 @@ "source": [ "# Boxplots\n", "\n", - "A **boxplot** is a standard statistical visualization tool. I'll plot them first, then explain them. " + "A **boxplot** is a standard statistical visualization tool. I'll plot first, explain later. " ] }, { "cell_type": "code", - "execution_count": 64, + "execution_count": 63, "metadata": {}, "outputs": [], "source": [ @@ -2137,14 +2120,14 @@ }, { "cell_type": "code", - "execution_count": 65, + "execution_count": 64, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2164,25 +2147,19 @@ "source": [ "Each column represents a data set (in this case, the 50 tour lengths for one algorithm) with a box covering the first to third quartiles of the data; inside the box is a horizontal line indicating the median and a marker indicating the mean. The 10% and 90% intervals are the \"whiskers\" coming out of the top and bottom of the box, and individual points outside that range are shown as dots. The \"notches\" in the sides of a boxes represent the 95% confidence interval on the median: if two boxes' notches do not overlap, that is strong evidence that the true medians of the algorithms differ. The **label** at the bottom of each column gives the name of the algorithm, the average run time in milliseconds, the mean and median tour length, and the ratio of the median tour length of this algorithm to the median tour length of the best algorithm in this boxplot.\n", "\n", - "This plot says that the first three algorithms all did about the same in tour length (although the greedy algorithm was much faster). The minimum spanning tree algorithm produces by far the longest tours. Nearest neighbor is fastest, while divide and conquer is slowest.\n", + "This plot says that the first three algorithms all did about the same in tour length; their notches overlap, so we can't be confident that one is better than the others. (Although we can be confident that the greedy algorithm is much faster.) The minimum spanning tree algorithm produces by far the longest tours. Nearest neighbor is fastest, while divide and conquer is slowest.\n", "\n", - "# Compare Rankings\n", + "# Rankings\n", "\n", "I'd also like to know for how many different problems each algorithm was best, or second best, etc. I will define a function called `rankings` to do that. I'll also define `compare` to call both `boxplots` and `rankings`:" ] }, { "cell_type": "code", - "execution_count": 66, + "execution_count": 65, "metadata": {}, "outputs": [], "source": [ - "def compare(algorithms, tests=TestSuite(50, 200)):\n", - " \"Compare TSP algorithms on a test suite.\"\n", - " boxplots(algorithms, tests)\n", - " plt.show()\n", - " rankings(algorithms, tests)\n", - " \n", "def rankings(algorithms, tests):\n", " \"Print a table of how often each algorithm had each rank: you get a #1 if you were shortest.\"\n", " N = len(algorithms)\n", @@ -2197,11 +2174,34 @@ " print(fmt(*[ranks[i] for i in range(N)], name(alg)))" ] }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " #1 #2 #3 #4 #5 | Algorithm\n", + " --- --- --- --- --- | ---------\n", + " 14 17 14 5 0 | greedy\n", + " 16 15 16 3 0 | rep_nn\n", + " 20 14 12 4 0 | divide\n", + " 0 4 8 22 16 | nn\n", + " 0 0 0 16 34 | mst\n" + ] + } + ], + "source": [ + "rankings(basic5, TestSuite(50, 200))" + ] + }, { "cell_type": "markdown", "metadata": {}, "source": [ - "The top line of the rankings says the greedy algorithm was #1 (had the shortest tour) for 19 out of the 40 problems, came in second for 10 problems, third 9 times, and fourth twice. The `rep_nn_tsp` algorithm was not quite as good, coming in first 11 times, while the MST algorithm was terrible, coming in last 39 times.\n" + "The top line of the rankings says the greedy algorithm was #1 (had the shortest tour) for 14 out of the 50 problems, came in second for 17 problems, third 14 times, and fourth 5 times. The `rep_nn_tsp` algorithm was similar, coming in first 16 times; divide and conquer had the most first-place finishes with 20, and the MST algorithm was terrible, coming in last 34 times." ] }, { @@ -2210,19 +2210,32 @@ "source": [ "# Comparsion of Improved Algorithms\n", "\n", - "Now let's compare the **improved** versions of these algorithms:" + "Now let's compare the **improved** versions of these algorithms (using `compare` to do boxplots and rankings):" ] }, { "cell_type": "code", "execution_count": 67, "metadata": {}, + "outputs": [], + "source": [ + "def compare(algorithms, tests=TestSuite(50, 200)):\n", + " \"Compare TSP algorithms on a test suite.\"\n", + " boxplots(algorithms, tests)\n", + " plt.show()\n", + " rankings(algorithms, tests)" + ] + }, + { + "cell_type": "code", + "execution_count": 68, + "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2234,11 +2247,11 @@ "text": [ " #1 #2 #3 #4 #5 | Algorithm\n", " --- --- --- --- --- | ---------\n", - " 13 16 18 1 2 | improve_greedy\n", - " 24 17 4 5 0 | rep_improve_nn\n", - " 0 1 1 11 37 | improve_divide\n", - " 10 8 13 16 3 | improve_nn\n", - " 3 8 14 17 8 | improve_mst\n" + " 17 16 8 8 1 | improve_greedy\n", + " 26 16 6 2 0 | rep_improve_nn\n", + " 0 2 4 6 38 | improve_divide\n", + " 3 10 15 19 3 | improve_nn\n", + " 4 6 17 15 8 | improve_mst\n" ] } ], @@ -2253,7 +2266,7 @@ "metadata": {}, "source": [ "The `improve_greedy_tsp` and `rep_improve_nn_tsp` algorithms give the shortest tours. One surprising result is that the divide and conquer algorithm was not improved much; perhaps the re-assembly steps of divide and conquer are already doing similar things to what `improve_tour` does. The minimum spanning tree algorithm is no longer terrible.\n", - "To make sense of the rankings: the top line says that `improve_greedy` was #1 (had the shortest tour) on 13 of the 50 problems, was #2 on 16 problems, and so on, while `rep_improve_nn` actually had more #1 finishes with 24. The big loser was `improve_divide`, with 0 first place finishes and 37 last place finishes.\n", + "\n", "\n", "# Comparison of *k* Values for `rep_improve_nn_tsp`\n", "\n", @@ -2262,14 +2275,14 @@ }, { "cell_type": "code", - "execution_count": 68, + "execution_count": 69, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2281,12 +2294,12 @@ "text": [ " #1 #2 #3 #4 #5 #6 | Algorithm\n", " --- --- --- --- --- --- | ---------\n", - " 3 8 6 8 11 14 | improve_greedy\n", - " 28 12 3 3 3 1 | rep_improve_nn, 15\n", - " 14 12 16 5 3 0 | rep_improve_nn, 10\n", - " 6 5 17 13 4 5 | rep_improve_nn, 5\n", - " 4 7 8 14 8 9 | rep_improve_nn, 3\n", - " 1 4 2 5 17 21 | rep_improve_nn, 1\n" + " 10 4 1 11 12 12 | improve_greedy\n", + " 17 17 10 6 0 0 | rep_improve_nn, 15\n", + " 15 9 17 5 2 2 | rep_improve_nn, 10\n", + " 8 8 8 12 9 5 | rep_improve_nn, 5\n", + " 5 5 7 10 12 11 | rep_improve_nn, 3\n", + " 1 4 8 4 13 20 | rep_improve_nn, 1\n" ] } ], @@ -2308,14 +2321,14 @@ }, { "cell_type": "code", - "execution_count": 69, + "execution_count": 70, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2328,9 +2341,9 @@ " #1 #2 #3 #4 | Algorithm\n", " --- --- --- --- | ---------\n", " 50 0 0 0 | ensemble\n", - " 31 0 13 6 | rep_improve_nn\n", - " 16 0 26 8 | improve_greedy\n", - " 3 0 11 36 | improve_mst\n" + " 28 0 19 3 | rep_improve_nn\n", + " 18 0 20 12 | improve_greedy\n", + " 4 0 11 35 | improve_mst\n" ] } ], @@ -2344,21 +2357,21 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "The `ensemble_tsp` algorithm produces the shortest tours yet, because it gets contributions from both `rep_improve_nn_tsp` and `improve_greedy_tsp` (and, for just 3 out of 50 problems, from `improve_mst_tsp`). Note that in the rankings, for every problem there is a two way tie for first between the `ensemble_tsp` algorithm and whichever member of the ensemble contributed that tour. That's why there are 100 (not 50) entries in the \"#1\" column, and 0 in the \"#2\" column. \n", + "The `ensemble_tsp` algorithm produces the shortest tours yet, because it gets contributions from both `rep_improve_nn_tsp` and `improve_greedy_tsp` (and, for just 4 out of 50 problems, from `improve_mst_tsp`). Note that in the rankings, for every problem there is a two way tie for first between the `ensemble_tsp` algorithm and whichever member of the ensemble contributed that tour. That's why there are 100 (not 50) entries in the \"#1\" column, and 0 in the \"#2\" column. \n", "\n", "Let's see if the results are different for different-sized city sets:" ] }, { "cell_type": "code", - "execution_count": 70, + "execution_count": 71, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2371,9 +2384,9 @@ " #1 #2 #3 #4 | Algorithm\n", " --- --- --- --- | ---------\n", " 30 0 0 0 | ensemble\n", - " 14 0 14 2 | rep_improve_nn\n", - " 15 0 10 5 | improve_greedy\n", - " 1 0 6 23 | improve_mst\n" + " 14 0 15 1 | rep_improve_nn\n", + " 14 0 12 4 | improve_greedy\n", + " 2 0 3 25 | improve_mst\n" ] } ], @@ -2389,27 +2402,7 @@ "\n", "# Comparing Precise Algorithms\n", "\n", - "Here I compare the two precise algorithms, Exhaustive Search and Held-Karp, to the (approximate) ensemble algorithm. I won't bother with `rankings`, because the precise algorithms always tie for first. I'll try both 9 and 10-city test suites:" - ] - }, - { - "cell_type": "code", - "execution_count": 71, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "boxplots([exhaustive_tsp, held_karp_tsp, ensemble_tsp], TestSuite(200, 9))" + "Here I compare the two precise algorithms, Exhaustive Search and Held-Karp, to the (approximate) ensemble algorithm. I'll try both 9 and 10-city test suites:" ] }, { @@ -2419,17 +2412,59 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " #1 #2 #3 | Algorithm\n", + " --- --- --- | ---------\n", + " 200 0 0 | exhaustive\n", + " 200 0 0 | held_karp\n", + " 194 0 6 | ensemble\n" + ] } ], "source": [ - "boxplots([exhaustive_tsp, held_karp_tsp, ensemble_tsp], TestSuite(20, 10))" + "compare([exhaustive_tsp, held_karp_tsp, ensemble_tsp], TestSuite(200, 9))" + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " #1 #2 #3 | Algorithm\n", + " --- --- --- | ---------\n", + " 20 0 0 | exhaustive\n", + " 20 0 0 | held_karp\n", + " 19 0 1 | ensemble\n" + ] + } + ], + "source": [ + "compare([exhaustive_tsp, held_karp_tsp, ensemble_tsp], TestSuite(20, 10))" ] }, { From e41dead58a50c622a0be6203fd9bdc377bc9364c Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Thu, 26 Apr 2018 16:40:13 -0700 Subject: [PATCH 76/90] Update Fred Buns.ipynb --- ipynb/Fred Buns.ipynb | 6 +----- 1 file changed, 1 insertion(+), 5 deletions(-) diff --git a/ipynb/Fred Buns.ipynb b/ipynb/Fred Buns.ipynb index f45ecff..47ed555 100644 --- a/ipynb/Fred Buns.ipynb +++ b/ipynb/Fred Buns.ipynb @@ -22,11 +22,7 @@ "which replaces digits with letters. I classified this as a Fred lock,\n", "\"[Fred](http://bikesnobnyc.blogspot.com/2014/06/a-fred-too-far.html)\" being the term for an amateurish cyclist with inappropriate equipment.\n", "I tried the combination \"FRED,\" and was amused with the result:\n", - "\n", - "

\n", - "

\n", - "\n", - "\n", + "![](http://norvig.com/ipython/fredbuns.jpg)\n", "FRED BUNS! Naturally I set all the other locks on the rack to FRED BUNS as well. But my curiosity was raised ... \n", "\n", "# Questions\n", From 43a93a875db2fbd450e2df157fc77265b2b2ec30 Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Sat, 28 Apr 2018 22:59:58 -0700 Subject: [PATCH 77/90] Add files via upload --- ipynb/WWW.ipynb | 189 ++++++++++++++++++++++++++++-------------------- 1 file changed, 111 insertions(+), 78 deletions(-) diff --git a/ipynb/WWW.ipynb b/ipynb/WWW.ipynb index eaec1e4..b83d92c 100644 --- a/ipynb/WWW.ipynb +++ b/ipynb/WWW.ipynb @@ -10,7 +10,7 @@ "\n", "\"It's tough to make predictions, especially [about](https://en.wikiquote.org/wiki/Yogi_Berra) [the](https://en.wikiquote.org/wiki/Niels_Bohr) future.\" That's true for the **NBA basketball playoffs**, where there is a wide range of opinion about the Warriors and Cavs, the teams that met in the finals each of the last three years. The Las Vegas oddsmakers have the Warriors as co-favorites at 35% chance to win the title, while [538](https://fivethirtyeight.com/features/the-nba-playoffs-sleepers-favorites-and-best-first-round-matchups/), using their ELO rating, give the Warriors only a 4% chance. That 9-fold difference underscores that rational people can use different models with different assumptions and come to different conclusions. Here are some models you might choose:\n", "\n", - "1. **Holistic**: I just feel that the Warriors have about a 1/3 chance of winning it all.\n", + "1. **Holistic**: I just feel that the Warriors have about a 1 in 5 chance of winning it all.\n", "2. **Game by Game**: I think the Warriors have an 75% chance of winning each game in the first round, then 65% for each game in the second round, but only 45% against the Rockets, then 55% if they make it to the finals. From that I'll calculate their overall chance.\n", "3. **Point by Point**: The Warriors have a per-game average point differential of +5.8; I'll compare that to the other teams and caclulate their overall chance.\n", "4. **Play by Play**: Use [detailed statistics](https://www.basketball-reference.com/play-index/plus/shot_finder.cgi) to [model](https://danvatterott.com/blog/2016/06/16/creating-videos-of-nba-action-with-sportsvu-data/) the game shot-by-shot, or even pass-by-pass. That's too complex for me.\n", @@ -38,6 +38,8 @@ "metadata": {}, "outputs": [], "source": [ + "%matplotlib inline\n", + "import matplotlib.pyplot as plt\n", "from statistics import mean\n", "from random import gauss\n", "\n", @@ -54,7 +56,7 @@ { "data": { "text/plain": [ - "0.61163" + "0.61325" ] }, "execution_count": 2, @@ -70,43 +72,14 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "The model says the Raptors have a 61% chance of beating the Sixers in a game. We can make a table of point differentials and game win percentages:" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "0 point differential = 50% win game\n", - "1 point differential = 54% win game\n", - "2 point differential = 58% win game\n", - "3 point differential = 61% win game\n", - "4 point differential = 65% win game\n", - "5 point differential = 68% win game\n", - "6 point differential = 72% win game\n", - "7 point differential = 75% win game\n", - "8 point differential = 78% win game\n", - "9 point differential = 80% win game\n" - ] - } - ], - "source": [ - "pct = '{:4.0%}'.format \n", - "\n", - "for diff in range(10):\n", - " print(diff, 'point differential =', pct(simulate(diff)), 'win game')" + "The model says the Raptors have a 61% chance of beating the Sixers in a single game. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "This agrees very well with the \"Differential vs. Win Percentage\" [chart](http://a.espncdn.com/combiner/i?img=%2Fphoto%2F2018%2F0408%2F180408_differential.png&w=1140&cquality=40) on [this page](http://www.espn.com/nba/story/_/id/23071005/kevin-pelton-weekly-mailbag-including-nba-all-offensive-teams).\n", + "\n", "\n", "# Game by Game Model\n", "\n", @@ -117,7 +90,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -134,12 +107,12 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "We can extend the table:" + "We can make a table:" ] }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 4, "metadata": {}, "outputs": [ { @@ -148,7 +121,7 @@ "text": [ "0 point differential = 50% win game = 50% win series\n", "1 point differential = 54% win game = 58% win series\n", - "2 point differential = 57% win game = 66% win series\n", + "2 point differential = 58% win game = 67% win series\n", "3 point differential = 61% win game = 73% win series\n", "4 point differential = 65% win game = 80% win series\n", "5 point differential = 68% win game = 85% win series\n", @@ -161,23 +134,23 @@ ], "source": [ "for diff in range(10):\n", - " game = simulate(diff)\n", - " series = win_series(game)\n", - " print(diff, 'point differential =', pct(game), 'win game =', pct(series), 'win series')" + " g = simulate(diff)\n", + " print('{} point differential = {:4.0%} win game = {:4.0%} win series'.format(\n", + " diff, g, win_series(g)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "For example, a team with a 3 point net differential has a 61% chance of winning each game in a series, and a 73% chance of winning the series. \n", + "With a zero point differential obnviously you're at 50% win percententage; with a 3 point differential you're at 61% to win a game, and 73% to win the series. This agrees very well with the \"Differential vs. Win Percentage\" [chart](http://a.espncdn.com/combiner/i?img=%2Fphoto%2F2018%2F0408%2F180408_differential.png&w=1140&cquality=40) on [this page](http://www.espn.com/nba/story/_/id/23071005/kevin-pelton-weekly-mailbag-including-nba-all-offensive-teams). \n", "\n", "What happens if some games in a series have already been played? The following function prints a table where each row tells a team's current win-loss record, each column is the game win percentage, and each entry in the table is the series win percentage." ] }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 5, "metadata": {}, "outputs": [ { @@ -210,6 +183,8 @@ } ], "source": [ + "pct = '{:4.0%}'.format \n", + "\n", "def series_table(pcts=[p/100 for p in range(15, 90, 5)]):\n", " print('W-L | Game Win Percentage')\n", " print(' | ' + ' '.join(map(pct, pcts)))\n", @@ -226,7 +201,67 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "For example, if our team with a 60% win percentage loses the first game of the series, then check the \"0-1\" row and the \"60%\" column to see that it still has a 54% chance of winning the series. " + "For example, if our team with a 60% game win percentage loses the first game of the series, check the \"0-1\" row and the \"60%\" column to see that it still has a 54% chance of winning the series. \n", + "\n", + "We can also do plots:" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "diff = [d/10 for d in range(100)]\n", + "game = [simulate(d) for d in diff]\n", + "series = [win_series(p) for p in game]" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(diff, series, label='Series Win')\n", + "plt.plot(diff, game, label='Game Win')\n", + "plt.legend(loc='best');\n", + "plt.grid()\n", + "plt.title('Point Differential vs. Win Percentage');" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "P = [p/100 for p in range(100)]\n", + "plt.plot(P, [win_series(p) for p in P])\n", + "plt.grid()\n", + "plt.title('Game Win Percentage vs. Series Win Percentage');" ] }, { @@ -240,7 +275,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 9, "metadata": {}, "outputs": [], "source": [ @@ -263,7 +298,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 10, "metadata": {}, "outputs": [ { @@ -287,7 +322,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 11, "metadata": {}, "outputs": [ { @@ -320,17 +355,17 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Rockets vs Wolves 89%; through here: 89%\n", + "Rockets vs Wolves 88%; through here: 88%\n", "Rockets vs Jazz 78%; through here: 69%\n", "Rockets vs Warriors 69%; through here: 48%\n", - "Rockets vs Raptors 58%; through here: 28%\n" + "Rockets vs Raptors 57%; through here: 27%\n" ] } ], @@ -344,17 +379,17 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Warriors vs Spurs 72%; through here: 72%\n", - "Warriors vs Blazers 74%; through here: 54%\n", - "Warriors vs Rockets 31%; through here: 16%\n", - "Warriors vs Raptors 38%; through here: 6%\n" + "Warriors vs Spurs 73%; through here: 73%\n", + "Warriors vs Blazers 75%; through here: 55%\n", + "Warriors vs Rockets 31%; through here: 17%\n", + "Warriors vs Raptors 37%; through here: 6%\n" ] } ], @@ -379,7 +414,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 14, "metadata": {}, "outputs": [], "source": [ @@ -393,7 +428,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 15, "metadata": {}, "outputs": [ { @@ -468,7 +503,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 16, "metadata": { "scrolled": true }, @@ -494,7 +529,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 17, "metadata": {}, "outputs": [ { @@ -518,7 +553,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 18, "metadata": {}, "outputs": [ { @@ -562,7 +597,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 19, "metadata": {}, "outputs": [ { @@ -593,7 +628,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 20, "metadata": {}, "outputs": [ { @@ -617,7 +652,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 21, "metadata": {}, "outputs": [ { @@ -660,7 +695,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 22, "metadata": {}, "outputs": [ { @@ -684,7 +719,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 23, "metadata": {}, "outputs": [ { @@ -708,7 +743,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 24, "metadata": {}, "outputs": [ { @@ -732,7 +767,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 25, "metadata": {}, "outputs": [ { @@ -776,7 +811,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 26, "metadata": {}, "outputs": [ { @@ -811,7 +846,7 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 27, "metadata": {}, "outputs": [ { @@ -835,7 +870,7 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 28, "metadata": {}, "outputs": [ { @@ -859,7 +894,7 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 29, "metadata": {}, "outputs": [ { @@ -883,9 +918,7 @@ }, { "cell_type": "markdown", - "metadata": { - "collapsed": true - }, + "metadata": {}, "source": [ "# The 2016 Finals\n", "\n", @@ -896,7 +929,7 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 30, "metadata": {}, "outputs": [ { @@ -943,16 +976,16 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "0.966301733" + "0.968211263722248" ] }, - "execution_count": 29, + "execution_count": 31, "metadata": {}, "output_type": "execute_result" } @@ -982,5 +1015,5 @@ } }, "nbformat": 4, - "nbformat_minor": 1 + "nbformat_minor": 2 } From 198aaae45444f4daac61825d1e8840a7d650f22b Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Sat, 19 May 2018 17:08:13 -0700 Subject: [PATCH 78/90] Add files via upload --- ipynb/Countdown.ipynb | 3451 ++++++++++++++--------------------------- 1 file changed, 1125 insertions(+), 2326 deletions(-) diff --git a/ipynb/Countdown.ipynb b/ipynb/Countdown.ipynb index bfb69cf..c653f90 100644 --- a/ipynb/Countdown.ipynb +++ b/ipynb/Countdown.ipynb @@ -4,7 +4,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "

Peter Norvig
5 January 2016
" + "Peter Norvig
5 January 2016
revised 18 May 2018" ] }, { @@ -17,22 +17,22 @@ } }, "source": [ - "# Countdown to 2016\n", + "# Four 4s, Five 5s, and Countdown to 2016\n", "\n", - "In 2016 Alex Bellos [posed](http://www.theguardian.com/science/2016/jan/04/can-you-solve-it-complete-the-equation-10-9-8-7-6-5-4-3-2-1-2016) this New Year's puzzle:\n", + "On January 1, 2016 Alex Bellos [posed](http://www.theguardian.com/science/2016/jan/04/can-you-solve-it-complete-the-equation-10-9-8-7-6-5-4-3-2-1-2016) this New Year's puzzle:\n", "\n", "\n", "> Fill in the blanks so that this equation makes arithmetical sense:\n", "\n", - "> `10 _ 9 _ 8 _ 7 _ 6 _ 5 _ 4 _ 3 _ 2 _ 1 = 2016`\n", + "> 10 ␣ 9 ␣ 8 ␣ 7 ␣ 6 ␣ 5 ␣ 4 ␣ 3 ␣ 2 ␣ 1 = 2016\n", "\n", "> You are allowed to use *only* the four basic arithmetical operations: +, -, ×, ÷. But brackets (parentheses) can be used wherever needed. So, for example, the solution could begin\n", "\n", - "> `(10 - 9) / (8` ...\n", + "> `(10 + 9) * (8` ...\n", "\n", "> or\n", "\n", - "> `10 + (9 - 8)` ...\n", + "> `10 + (9 * 8)` ...\n", "\n", "Let's see if we can solve this puzzle, and some of the related ones from Alex's [first](http://www.theguardian.com/science/2016/jan/04/can-you-solve-it-complete-the-equation-10-9-8-7-6-5-4-3-2-1-2016) and [second](http://www.theguardian.com/science/2016/jan/04/did-you-solve-it-complete-the-equation-10-9-8-7-6-5-4-3-2-1-2016) post. We'll start with a simpler version of the puzzle." ] @@ -47,9 +47,9 @@ } }, "source": [ - "# Four Operators, No Brackets\n", + "# Four Operations, No Brackets\n", "\n", - "Suppose for the moment we are not allowed to use brackets. Then there are nine blanks, each of which can be filled by one of four operators, so the total number of possible expressions is:" + "Suppose for the moment we are not allowed to use brackets. Then there are nine blanks, each of which can be filled by one of four operators, so there are 94 = 262,144 possibilities, few enough that we can enumerate them all, using `itertools.product` to get sequences of operators, and then `str.format` to plug them into blanks, and then `eval` to evaluate the string:" ] }, { @@ -66,7 +66,7 @@ { "data": { "text/plain": [ - "262144" + "('+', '+', '+', '+', '+', '+', '+', '+', '+')" ] }, "execution_count": 1, @@ -75,37 +75,22 @@ } ], "source": [ - "4 ** 9" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "button": false, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "source": [ - "The function `itertools.product` can enumerate all the ways of filling 9 blanks with one of the four operators:" + "import itertools\n", + "from functools import lru_cache # Used later\n", + "\n", + "ops = next(itertools.product(('+', '-', '*', '/'), repeat=9))\n", + "ops" ] }, { "cell_type": "code", "execution_count": 2, - "metadata": { - "button": false, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, + "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "262144" + "'10+9+8+7+6+5+4+3+2+1'" ] }, "execution_count": 2, @@ -114,41 +99,18 @@ } ], "source": [ - "import itertools\n", - "\n", - "operators = ('+', '-', '*', '/')\n", - " \n", - "len(set(itertools.product(operators, repeat=9)))" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "button": false, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "source": [ - "So we can fill in the equation with each possible sequence of operations, and evaluate each string to see if it equals 2016. But we need to catch errors such as dividing by zero, so we'll define a wrapper function, `evaluate`, to do the `eval`:" + "'10{}9{}8{}7{}6{}5{}4{}3{}2{}1'.format(*ops)" ] }, { "cell_type": "code", "execution_count": 3, - "metadata": { - "button": false, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, + "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "[]" + "55" ] }, "execution_count": 3, @@ -156,6 +118,28 @@ "output_type": "execute_result" } ], + "source": [ + "eval(_)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We need to catch errors such as dividing by zero, so I'll define a wrapper function, `evaluate`, to do that, and I'll define `countdown_no_brackets` to put the pieces together:" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "button": false, + "new_sheet": false, + "run_control": { + "read_only": false + } + }, + "outputs": [], "source": [ "def evaluate(exp):\n", " \"eval exp, or return None if there is an arithmetic error.\"\n", @@ -164,13 +148,31 @@ " except ArithmeticError:\n", " return None\n", "\n", - "def solve_no_brackets(operators, target=2016):\n", + "def countdown_no_brackets(target, operators=('+', '-', '*', '/')):\n", " \"All solutions to the countdown puzzle (with no brackets).\"\n", " exps = ('10{}9{}8{}7{}6{}5{}4{}3{}2{}1'.format(*ops)\n", " for ops in itertools.product(operators, repeat=9))\n", - " return [exp for exp in exps if evaluate(exp) == target]\n", - "\n", - "solve_no_brackets(operators)" + " return [exp for exp in exps if evaluate(exp) == target]" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "countdown_no_brackets(2016)" ] }, { @@ -183,12 +185,12 @@ } }, "source": [ - "Too bad; we did all that work and didn't find a solution. What years *can* we find solutions for? Let's modify `solve_no_brackets` to take a collection of target years rather than a single one, and return a dict of the form `{year: 'expression'}` for each expression that evaluates to one of the target years:" + "Too bad; we did all that work and didn't find a solution. What years *can* we find solutions for? I'll modify `countdown_no_brackets` to take a collection of target years rather than a single one, and return a dict of the form `{year: 'expression'}` for each expression that evaluates to one of the target years. I'll also generalize it to allow any format string, not just the countdown string." ] }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 6, "metadata": { "button": false, "new_sheet": false, @@ -211,19 +213,20 @@ " 2019: '10*9*8*7/6/5*4*3+2+1'}" ] }, - "execution_count": 4, + "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "def solve_no_brackets(operators, targets):\n", + "def countdown_no_brackets(targets, operators=('+', '-', '*', '/'), \n", + " fmt='10{}9{}8{}7{}6{}5{}4{}3{}2{}1'):\n", " \"All solutions to the countdown puzzle (with no brackets).\"\n", - " exps = ('10{}9{}8{}7{}6{}5{}4{}3{}2{}1'.format(*ops)\n", - " for ops in itertools.product(operators, repeat=9))\n", + " exps = (fmt.format(*ops)\n", + " for ops in itertools.product(operators, repeat=fmt.count('{}')))\n", " return {int(evaluate(exp)): exp for exp in exps if evaluate(exp) in targets}\n", "\n", - "solve_no_brackets(operators, range(1900, 2100))" + "countdown_no_brackets(range(1900, 2100))" ] }, { @@ -249,25 +252,27 @@ } }, "source": [ - "# Four Operators, With Brackets\n", + "# Four Operations, With Brackets\n", "\n", - "Now let's return to the original puzzle, with the brackets. How many ways are there of bracketing an expression with 9 binary operators? I happen to remember that this is given by the [Catalan numbers](https://en.wikipedia.org/wiki/Catalan_number), and we can [look it up](http://www.wolframalpha.com/input/?i=9th+catalan+number) to find that there are 4862 diffferent bracketing. If we enumerated and evaluated all of them, it would take about 4862 times longer than doing a single `solve_no_brackets`, which took about 6 seconds, so the estimated time would be about 8 hours. I'm impatient, so I'd like a faster approach. \n", + "What is the problem I want to solve? I want to know if I can create an expression whose value is 2016. But to get there I'll solve a more general problem: given a sequence of numbers, like `(10, 9, 8)`, what expressions can I make with them?\n", + "I'll define `expressions(numbers)` to return a dict of `{value: expression}` \n", + "for all expressions (strings) whose numeric value is `value`, and can be made from `numbers`, for example:\n", "\n", - "I'll use the idea of [dynamic programming](https://en.wikipedia.org/wiki/Dynamic_programming): break the problem down into simpler subparts, and compute an answer for each subpart, and store intermediate results in a table so we don't need to re-compute them when we need them again.\n", + " expressions((10,)) ⇒ {10: '10'}\n", + " expressions((9, 8)) ⇒ {1: '(9-8)', 1.125: '(9/8)', 17: '(9+8)', 72: '(9*8)'}\n", "\n", - "How do we break the problem into parts? In general, any expression must consist of an operator with two operands (which might in turn be complex subexpressions). For example, a complete countdown expression might be of the form\n", + "I'll use the idea of [dynamic programming](https://en.wikipedia.org/wiki/Dynamic_programming): break the problem down into simpler subparts, compute an answer for each subpart, and remember intermediate results so we don't need to re-compute them later. How do we break the problem into parts? `expressions((10, 9, 8))` should consist of all the ways of splitting `(10, 9, 8)` into two parts, finding all the expressions that can be made with each part, and combining pairs of expressions with any of the four operators:\n", "\n", - " (10 ... 8) + (7 ... 1)\n", - " \n", - "where `(10 ... 8)` means some expression that starts with 10 and ends with 8. Of course we need not use `'+'` as the operator, and we need not split after the 8; we could use any of the four operators and split anywhere. Let's start by defining `c10` as the tuple of integers forming the countdown from 10 to 1, and the function `splits` to split a tuple in all ways: " + " expressions((10, 9, 8)) ⇒ {11: '(10+(9-8))', 27: '(10+(9+8))', 720: '(10*(9*8))', ...}\n", + "\n", + "First the function `splits`:" ] }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 7, "metadata": { "button": false, - "collapsed": true, "new_sheet": false, "run_control": { "read_only": false @@ -277,15 +282,15 @@ "source": [ "c10 = (10, 9, 8, 7, 6, 5, 4, 3, 2, 1)\n", "\n", - "def splits(items):\n", - " \"Split sequence of items into two non-empty parts, in all ways.\"\n", - " return [(items[:i], items[i:]) \n", - " for i in range(1, len(items))]" + "def splits(sequence):\n", + " \"Split sequence into two non-empty parts, in all ways.\"\n", + " return [(sequence[:i], sequence[i:]) \n", + " for i in range(1, len(sequence))]" ] }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 8, "metadata": { "button": false, "new_sheet": false, @@ -308,7 +313,7 @@ " ((10, 9, 8, 7, 6, 5, 4, 3, 2), (1,))]" ] }, - "execution_count": 6, + "execution_count": 8, "metadata": {}, "output_type": "execute_result" } @@ -327,70 +332,34 @@ } }, "source": [ - "Now what I would like to do is build up a table that says, for every subsequence of the numbers, what are the expressions we can make with those numbers, and what do they evaluate to? We'll call the table `EXPS`. For example, with the subsequence `(10, 9, 8)`, we would have:\n", - "\n", - " EXPS[(10, 9, 8)] = {\n", - " 27: '((10+9)+8)',\n", - " 8: '((10-9)*8)', \n", - " -7: '(10-(9+8))', \n", - " ...}\n", - " \n", - "We'll do the same for every other subsequence, for example:\n", - "\n", - " EXPS[(7, 6, 5, 4, 3, 2, 1)] = {\n", - " 1: '((((7/((6/5)-4))+3)*2)*1)',\n", - " 2: '((((7/((6/5)-4))+3)*2)+1)',\n", - " 3.5: '((((7/((6/5)-4))+3)+2)+1)',\n", - " 4: '((7-((6/5)*((4/3)+2)))+1)',\n", - " ...}\n", - " \n", - "Once we have the tables for these two subsequences, we can put them together to get the table for the complete `countdown(10)` by considering all ways of taking a value from the first table, then one of the four operators, then a value from the second table. For example, taking the first entry from each table, and the operator `'+'`, we would have:\n", - "\n", - " EXPS[(10, 9, 8, 7, 6, 5, 4, 3, 2, 1)] = { \n", - " 28: '(((10+9)+8)+((((7/((6/5)-4))+3)*2)*1))',\n", - " ...}\n", - "\n", - "\n", - "I can implement `EXPS` as a defaultdict of dicts, and define `expressions(numbers)` to fill in `EXPS` entries for `numbers` and all sub-sequences of `numbers`. Within `expressions`, note that `Lnums` and `Rnums` are sequences of numbers, such as `(10, 9, 8)` and `(7, 6)`. `L` and `R` are numeric values, such as `27` and `1`. And `Lexp` and `Rexp` are strings, such as `\"((10+9)+8)\"` and `\"(7-6)\"`. Rather than catching division-by-zero errors, we just avoid the division when the denominator is 0." + "Now the function `expressions`:" ] }, { "cell_type": "code", - "execution_count": 7, - "metadata": { - "button": false, - "collapsed": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, + "execution_count": 9, + "metadata": {}, "outputs": [], "source": [ - "from collections import defaultdict, Counter\n", - "\n", - "EXPS = defaultdict(dict) # e.g., EXPS[(10, 9, 8)][27] == '((10+9)+8)'\n", - "\n", - "def expressions(numbers):\n", - " \"Fill EXPS table for numbers, and all sub-sequences of numbers. Return EXPS[numbers]\"\n", - " if numbers in EXPS: # Already did the work\n", - " pass\n", - " elif len(numbers) == 1: # Only one way to make an expression out of a single number\n", - " expr(numbers, numbers[0], str(numbers[0]))\n", - " else: # Split in all ways; fill tables for left and right; combine tables in all ways\n", + "@lru_cache()\n", + "def expressions(numbers: tuple) -> dict:\n", + " \"Return {value: expr} for all expressions that can be made from numbers.\"\n", + " if len(numbers) == 1: \n", + " return {numbers[0]: str(numbers[0])}\n", + " else: \n", + " result = {}\n", " for (Lnums, Rnums) in splits(numbers):\n", - " for (L, R) in itertools.product(expressions(Lnums), expressions(Rnums)):\n", - " Lexp, Rexp = '(' + EXPS[Lnums][L], EXPS[Rnums][R] + ')'\n", - " expr(numbers, L * R, Lexp + '*' + Rexp)\n", - " expr(numbers, L - R, Lexp + '-' + Rexp)\n", - " expr(numbers, L + R, Lexp + '+' + Rexp)\n", + " for (L, R) in pairs(expressions(Lnums), expressions(Rnums)):\n", + " Lexp = '(' + expressions(Lnums)[L]\n", + " Rexp = expressions(Rnums)[R] + ')'\n", " if R != 0: \n", - " expr(numbers, L / R, Lexp + '/' + Rexp)\n", - " return EXPS[numbers]\n", - "\n", - "def expr(numbers, value, exp): \n", - " \"Record exp as an expression with the given value, covering the sequence of numbers.\"\n", - " EXPS[numbers][value] = exp" + " result[L / R] = Lexp + '/' + Rexp\n", + " result[L * R] = Lexp + '*' + Rexp\n", + " result[L - R] = Lexp + '-' + Rexp\n", + " result[L + R] = Lexp + '+' + Rexp\n", + " return result\n", + " \n", + "def pairs(left, right): return ((L, R) for L in left for R in right)" ] }, { @@ -403,12 +372,73 @@ } }, "source": [ + "For example, at one point in a call to `expressions((10, 9, 8))` we would have:\n", + "\n", + " Lnums, Rnums = (10), (9, 8)\n", + " L, R = 10, 1\n", + " Lexp, Rexp = '(10', '(9-8))'\n", + "\n", + "This would lead to us adding the following four entries to `result`:\n", + "\n", + " result[10] = '(10*(9-8))'\n", + " result[9] = '(10-(9-8))'\n", + " result[11] = '(10+(9-8))'\n", + " result[10] = '(10/(9-8))'\n", + " \n", + "The decorator `@lru_cache` takes care of storing the intermediate results. Rather than catching errors, we just avoid division by 0.\n", + "\n", "Let's give it a try:" ] }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{10: '10'}" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "expressions((10,))" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "button": false, + "new_sheet": false, + "run_control": { + "read_only": false + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "{1: '(9-8)', 1.125: '(9/8)', 17: '(9+8)', 72: '(9*8)'}" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "expressions((9, 8))" + ] + }, + { + "cell_type": "code", + "execution_count": 12, "metadata": { "button": false, "new_sheet": false, @@ -432,7 +462,7 @@ " 8.88888888888889: '((10/9)*8)',\n", " 9: '((10-9)+8)',\n", " 9.11111111111111: '((10/9)+8)',\n", - " 10: '(10/(9-8))',\n", + " 10.0: '(10*(9-8))',\n", " 11: '((10+9)-8)',\n", " 11.125: '(10+(9/8))',\n", " 11.25: '((10*9)/8)',\n", @@ -444,7 +474,7 @@ " 720: '((10*9)*8)'}" ] }, - "execution_count": 8, + "execution_count": 12, "metadata": {}, "output_type": "execute_result" } @@ -453,32 +483,6 @@ "expressions((10, 9, 8))" ] }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": { - "button": false, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "outputs": [ - { - "data": { - "text/plain": [ - "'((10+9)+8)'" - ] - }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "EXPS[(10, 9, 8)][27]" - ] - }, { "cell_type": "markdown", "metadata": { @@ -496,7 +500,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 13, "metadata": { "button": false, "new_sheet": false, @@ -509,8 +513,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 29.5 s, sys: 698 ms, total: 30.2 s\n", - "Wall time: 30.2 s\n" + "CPU times: user 28.3 s, sys: 728 ms, total: 29 s\n", + "Wall time: 29.2 s\n" ] }, { @@ -519,7 +523,7 @@ "'(((((((10+((9*8)*7))-6)-5)*4)+3)+2)-1)'" ] }, - "execution_count": 10, + "execution_count": 13, "metadata": {}, "output_type": "execute_result" } @@ -538,14 +542,401 @@ } }, "source": [ - "We have an answer! And in a lot less than 8 hours, thanks to dynamic programming! \n", - "\n", - "Removing unnecessary brackets, this equation is equivalent to:" + "We have an answer! And in seconds, not hours, thanks to dynamic programming! Here are solutions for nearby years:" ] }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{2010: '((((10*((9+((8+7)*6))+(5/4)))+3)*2)-1)',\n", + " 2011: '((((((10+9)*8)+7)*(6+(5*(4/3))))-2)-1)',\n", + " 2012: '((((((10+9)*8)+7)*(6+(5*(4/3))))-2)*1)',\n", + " 2013: '((((((10+9)*8)+7)*(6+(5*(4/3))))-2)+1)',\n", + " 2014: '((((10-(9*8))*(7-(6*((5+4)+3))))/2)-1)',\n", + " 2015: '((((((((10*9)+8)-7)*(6+5))+4)+3)*2)-1)',\n", + " 2016: '(((((((10+((9*8)*7))-6)-5)*4)+3)+2)-1)',\n", + " 2017: '(((((((10+((9*8)*7))-6)-5)*4)+3)+2)*1)',\n", + " 2018: '(((((((10+((9*8)*7))-6)-5)*4)+3)+2)+1)',\n", + " 2019: '(((((((((10*9)*8)*7)/6)/5)*4)*3)+2)+1)',\n", + " 2020: '((((10+((((9*8)*7)*(6-5))*4))-3)-2)-1)',\n", + " 2021: '((((10+((((9*8)*7)*(6-5))*4))-3)-2)*1)',\n", + " 2022: '((((10+((((9*8)*7)*(6-5))*4))-3)-2)+1)',\n", + " 2023: '(((((10*9)+8)*((7*6)-(5/(4+3))))/2)*1)',\n", + " 2024: '(((((10*9)+8)*((7*6)-(5/(4+3))))/2)+1)'}" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "{y: expressions(c10)[y] for y in range(2010, 2025)}" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Four 4s\n", + "\n", + "Alex Bellos continues with a related puzzle:\n", + " \n", + "> The most famous “fill in the gaps in the equation” puzzle is known as the [four fours](https://en.wikipedia.org/wiki/Four_fours), because every equation is of the form\n", + "\n", + "> 4 ␣ 4 ␣ 4 ␣ 4 = X.\n", + "\n", + ">In the classic form of the puzzle you must find a solution for X = 0 to 9 using just addition, subtraction, multiplication and division.\n", + "\n", + "This puzzle is \"most famous\" because it goes back to a [1914 publication by W. Ball](https://archive.org/details/mathematicalrecr00ball). The \"0 to 9\" solution is easy:" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{0: '(((4-4)-4)+4)',\n", + " 1: '(((4/4)-4)+4)',\n", + " 2: '((4/(4+4))*4)',\n", + " 3: '(((4+4)+4)/4)',\n", + " 4: '(((4-4)*4)+4)',\n", + " 5: '(((4*4)+4)/4)',\n", + " 6: '(((4+4)/4)+4)',\n", + " 7: '((4-(4/4))+4)',\n", + " 8: '(((4+4)+4)-4)',\n", + " 9: '(((4/4)+4)+4)'}" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "{i: expressions((4, 4, 4, 4))[i] for i in range(10)}" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# New Mathematical Operations\n", + "\n", + "Bellos then writes:\n", + " \n", + "> If you want to show off, you can introduce **new mathematical operations** such as powers, square roots, concatenation and decimals, ... or use the factorial symbol, `!`.\n", + "\n", + "Bellos is suggesting the following operations:\n", + "\n", + "- **Powers**: `(4 ^ 4)` is 4 to the fourth power, or 256.\n", + "- **Square roots:** `√4` is the square root of 4, or 2.\n", + "- **Concatenation:** `44` is forty-four.\n", + "- **Decimals:** `4.4` is four and four tenths.\n", + "- **Factorials** `4!` is 4 × 3 × 2 × 1, or 24.\n", + "\n", + "There are some complications to deal with:\n", + "\n", + "- **Irrationals**: `√2` is an irrational number; so we can't do exact rational arithmetic.\n", + "- **Imaginaries**: `√-1` is an imaginary number, but Python gives a `ValueError` for `sqrt(-1)`.\n", + "- **Overflow**: `(10. ^ (9. ^ 8.))`, as a `float`, gives an `OverflowError`.\n", + "- **Out of memory**: [`(10 ^ (9 ^ (8 * 7)))`](http://www.wolframalpha.com/input/?i=10+%5E+9+%5E+56), as an `int`, gives an `OutOfMemoryError` (even if your memory uses every atom on Earth).\n", + "- **Infinite expressions**: We could add an infinite number of square root and/or factorial signs to any expression: `√√√√√√(4!!!!!!!!)`...\n", + "- **Round-off error**: `(49*(1/49))` evaluates to `0.9999999999999999`, not `1`.\n", + "\n", + "We could try to manage this with *symbolic algebra*, perhaps using [SymPy](http://www.sympy.org/en/index.html), but that seems complicated, so instead I will:\n", + "- Arbitrarily limit expressions to two nested unary operations to avoid infinite expressions.\n", + "- Use floats for all computation (to avoid out of memory errors), and accept that there are some approximations. \n", + "\n", + "I'll define the function `do` to do an arithmetic computation, catch any errors, and try to correct round-off errors. The idea is that since my expressions start with integers, any result that is very close to an integer is probably actually that integer. So I'll correct `(49*(1/49))` to be `1.0`. Of course, an expression like `(1+(10^-99))` is also very close to `1.0`, but it should not be rounded off. Instead, I'll try to avoid such expressions by silently dropping any value that is outside the range of 10-10 to 1010 (except of course I will accept an exact 0)." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [], + "source": [ + "from operator import add, sub, mul, truediv\n", + "from math import sqrt, factorial\n", + "from collections import defaultdict, Counter\n", + "\n", + "def do(op, *args): \n", + " \"Return op(*args), trying to correct for roundoff error, or `None` on Error or too big/small.\"\n", + " try:\n", + " val = op(*args)\n", + " return (val if val == 0 else\n", + " None if not (1e-10 < abs(val) < 1e10) else\n", + " round(val) if abs(val - round(val)) < 1e-12 else \n", + " val)\n", + " except (ArithmeticError, ValueError):\n", + " return None" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [], + "source": [ + "assert do(truediv, 12, 4) == 3 and do(truediv, 12, 0) == None\n", + "assert do(mul, 49, do(truediv, 1, 49)) == 1\n", + "assert do(pow, 10, -99) == None" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "I'll take this opportunity to refactor `expressions` to have these subfunctions:\n", + "- `digit_expressions(result, numbers)`: returns a dict like {0.44: '.44', 4.4: '4.4', 44.0: '44'}\n", + "- `add_unary_expressions(result)`: adds expressions like `√44` and `4!` and return `result`. \n", + "- `add_binary_expressions(result, numbers)`: adds expressions like `4+√44` and `4^4` and return `result`." + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "button": false, + "new_sheet": false, + "run_control": { + "read_only": false + } + }, + "outputs": [], + "source": [ + "@lru_cache(1000)\n", + "def expressions(numbers):\n", + " \"Return {value: expr} for all expressions that can be made from numbers.\"\n", + " return add_unary_expressions(add_binary_expressions(digit_expressions(numbers), numbers))\n", + "\n", + "def digit_expressions(numbers) -> dict:\n", + " \"All ways of making numbers from these numbers, in order, and a decimal point.\"\n", + " D = ''.join(map(str, numbers))\n", + " exps = [(D[:i] + '.' + D[i:]).rstrip('.')\n", + " for i in range(len(D) + 1)\n", + " if not (D.startswith('0') and i > 1)]\n", + " return {float(exp): exp for exp in exps}\n", + " \n", + "def add_binary_expressions(result, numbers) -> dict:\n", + " \"Add binary expressions by splitting numbers and combining with an op.\"\n", + " for (Lnums, Rnums) in splits(numbers):\n", + " for (L, R) in pairs(expressions(Lnums), expressions(Rnums)):\n", + " Lexp = '(' + expressions(Lnums)[L]\n", + " Rexp = expressions(Rnums)[R] + ')'\n", + " assign(result, do(truediv, L, R), Lexp + '/' + Rexp)\n", + " assign(result, do(mul, L, R), Lexp + '*' + Rexp)\n", + " assign(result, do(add, L, R), Lexp + '+' + Rexp)\n", + " assign(result, do(sub, L, R), Lexp + '-' + Rexp)\n", + " if -10 <= R <= 10 and (L > 0 or int(R) == R):\n", + " assign(result, do(pow, L, R), Lexp + '^' + Rexp)\n", + " return result\n", + " \n", + "def add_unary_expressions(result, nesting_level=2) -> dict:\n", + " \"Add unary expressions: -v, √v and v!\"\n", + " for _ in range(nesting_level):\n", + " for v in tuple(result):\n", + " exp = result[v]\n", + " if -v not in result:\n", + " assign(result, -v, '-' + exp)\n", + " if 0 < v <= 100 and 120 * v == round(120 * v): \n", + " assign(result, sqrt(v), '√' + exp)\n", + " if 3 <= v <= 6 and v == int(v):\n", + " assign(result, factorial(v), exp + '!')\n", + " return result" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The function `assign` will silently drop expressions whose value is `None`, and if two expressions have the same value, `assign` keeps the one with the lower \"weight\"—a measure of the characters in the expression. This shows simpler expressions in favor of complex ones: for four 4s, the entry for `0` will be `44-44`, not something like `-√((-√4*--4)*(-√4--√4))`." + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], + "source": [ + "def assign(result, value, exp): \n", + " \"Assign result[value] = exp, unless we already have a lighter exp, or value is too extreme.\"\n", + " if (value is not None \n", + " and (value not in result or weight(exp) < weight(result[value]))): \n", + " result[value] = exp\n", + " \n", + "PENALTIES = defaultdict(int, {'√':7, '!':5, '.':1, '^':3, '/':1, '-':1})\n", + " \n", + "def weight(exp) -> int: return len(exp) + sum(PENALTIES[c] for c in exp)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "button": false, + "new_sheet": false, + "run_control": { + "read_only": false + } + }, + "source": [ + "I'll define a function to create a table of consecutive integers (starting at 0) that can be made by a sequence of numbers:" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "button": false, + "new_sheet": false, + "run_control": { + "read_only": false + } + }, + "outputs": [], + "source": [ + "def show(numbers, clear=True):\n", + " \"Print a table of expressions for all consecutive integers i from 0 up to the first unmakeable integer.\"\n", + " if clear: expressions.cache_clear() # To free up memory\n", + " print('{:,} entries for {}\\n'.format(len(expressions(numbers)), numbers))\n", + " for i in itertools.count(0): # All integers from 0\n", + " if i not in expressions(numbers):\n", + " return i\n", + " print('{:4} = {}'.format(i, unbracket(expressions(numbers)[i])))\n", + " \n", + "def unbracket(exp):\n", + " \"Strip outer parens from exp, if they are there\"\n", + " return (exp[1:-1] if exp.startswith('(') and exp.endswith(')') else exp)" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "705,959 entries for (4, 4, 4, 4)\n", + "\n", + " 0 = 44-44\n", + " 1 = 44/44\n", + " 2 = 4*(4/(4+4))\n", + " 3 = (4+(4+4))/4\n", + " 4 = 4+(4*(4-4))\n", + " 5 = (4+(4*4))/4\n", + " 6 = 4+((4+4)/4)\n", + " 7 = (44/4)-4\n", + " 8 = 4+(4+(4-4))\n", + " 9 = 4+(4+(4/4))\n", + " 10 = 44/4.4\n", + " 11 = (4/.4)+(4/4)\n", + " 12 = (4+44)/4\n", + " 13 = 4!-(44/4)\n", + " 14 = (4+(.4*4))/.4\n", + " 15 = 4+(44/4)\n", + " 16 = .4*(44-4)\n", + " 17 = (4*4)+(4/4)\n", + " 18 = .4+(.4*44)\n", + " 19 = (4+(4-.4))/.4\n", + " 20 = 4*(4+(4/4))\n", + " 21 = (4+4.4)/.4\n", + " 22 = √4*(44/4)\n", + " 23 = ((4!*4)-4)/4\n", + " 24 = 4+(4+(4*4))\n", + " 25 = (4+(4!*4))/4\n", + " 26 = (4/.4)+(4*4)\n", + " 27 = 4!+(4-(4/4))\n", + " 28 = 44-(4*4)\n", + " 29 = 4+(4/(.4*.4))\n", + " 30 = (4+(4+4))/.4\n", + " 31 = 4!+((4!+4)/4)\n", + " 32 = (4*4)+(4*4)\n", + " 33 = 4!+((4-.4)/.4)\n", + " 34 = 44-(4/.4)\n", + " 35 = 4!+(44/4)\n", + " 36 = 44-(4+4)\n", + " 37 = ((.4+4!)/.4)-4!\n", + " 38 = 44-(4!/4)\n", + " 39 = ((4*4)-.4)/.4\n", + " 40 = 44-√(4*4)\n", + " 41 = (.4+(4*4))/.4\n", + " 42 = √4+(44-4)\n", + " 43 = 44-(4/4)\n", + " 44 = 4+(44-4)\n", + " 45 = (4/4)+44\n", + " 46 = 4+(44-√4)\n", + " 47 = 4!+(4!-(4/4))\n", + " 48 = 4*(4+(4+4))\n", + " 49 = (√4/.4)+44\n", + " 50 = (4+(4*4))/.4\n", + " 51 = (.4+(4!-4))/.4\n", + " 52 = 4+(4+44)\n", + " 53 = 4!+(4!+(√4/.4))\n", + " 54 = (4/.4)+44\n", + " 55 = 44/(.4+.4)\n", + " 56 = 4*(4+(4/.4))\n", + " 57 = ((.4+4!)/.4)-4\n", + " 58 = ((4^4)-4!)/4\n", + " 59 = (4!/.4)-(4/4)\n", + " 60 = (4*4)+44\n", + " 61 = (4/4)+(4!/.4)\n", + " 62 = (4*(4*4))-√4\n", + " 63 = ((4^4)-4)/4\n", + " 64 = (4+4)*(4+4)\n", + " 65 = (4+(4^4))/4\n", + " 66 = √4+(4*(4*4))\n", + " 67 = √4+((√4+4!)/.4)\n", + " 68 = 4+(4*(4*4))\n", + " 69 = (4!+(4-.4))/.4\n", + " 70 = (4!+(4^4))/4\n", + " 71 = (4!+4.4)/.4\n", + " 72 = 4!+(4+44)\n", + "CPU times: user 11.2 s, sys: 60.4 ms, total: 11.3 s\n", + "Wall time: 11.3 s\n" + ] + }, + { + "data": { + "text/plain": [ + "73" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time show((4, 4, 4, 4))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "button": false, + "new_sheet": false, + "run_control": { + "read_only": false + } + }, + "source": [ + "We can also solve the \"2016 with four fours\" puzzle:" + ] + }, + { + "cell_type": "code", + "execution_count": 22, "metadata": { "button": false, "new_sheet": false, @@ -557,57 +948,486 @@ { "data": { "text/plain": [ - "2016" + "'(4!*(4!+(4!/.4)))'" ] }, - "execution_count": 11, + "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "(10 + 9 * 8 * 7 - 6 - 5) * 4 + 3 + 2 - 1" + "expressions((4, 4, 4, 4))[2016]" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "button": false, + "new_sheet": false, + "run_control": { + "read_only": false + } + }, + "source": [ + "In a [separate video](https://www.youtube.com/embed/Noo4lN-vSvw), Alex Bellos shows how to form **every** integer from 0 to infinity using four 4s, if the square root and `log` functions are allowed. The solution comes from Paul Dirac (although [Dirac originally developed it](https://nebusresearch.wordpress.com/2014/04/18/how-dirac-made-every-number/) for the \"four 2s\" problem).\n", + "\n", + "Donald Knuth has [conjectured](https://www.tandfonline.com/doi/abs/10.1080/0025570X.1964.11975546) that with floor, square root and factorial, you can make any positive integer with just **one** 4.\n", + "\n", + "Below are some popular variants:\n", + "\n", + "# Four 2s" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "109,747 entries for (2, 2, 2, 2)\n", + "\n", + " 0 = 22-22\n", + " 1 = 22/22\n", + " 2 = 2+(2*(2-2))\n", + " 3 = (2+(2*2))/2\n", + " 4 = .2*(22-2)\n", + " 5 = 2+(2+(2/2))\n", + " 6 = 2*(2+(2/2))\n", + " 7 = 2+(2/(.2*2))\n", + " 8 = 2+(2+(2*2))\n", + " 9 = (22/2)-2\n", + " 10 = 22/2.2\n", + " 11 = (2/2)+(2/.2)\n", + " 12 = (2+22)/2\n", + " 13 = 2+(22/2)\n", + " 14 = 2+(2+(2/.2))\n", + " 15 = (2+(2/2))/.2\n", + " 16 = 2*(2*(2*2))\n", + " 17 = 22-(√.2^-2)\n", + " 18 = 22-(2*2)\n", + " 19 = (2+(2-.2))/.2\n", + " 20 = (2/.2)+(2/.2)\n", + " 21 = 22-(2/2)\n", + " 22 = 2+(22-2)\n", + " 23 = (2/2)+22\n", + " 24 = 2*(2+(2/.2))\n", + " 25 = 2/(.2*(.2*2))\n", + " 26 = 2+(2+22)\n", + " 27 = (√.2^-2)+22\n", + " 28 = 2+(2+(2*2)!)\n", + " 29 = 2+(2+(.2^-2))\n", + " 30 = (2+(2*2))/.2\n", + "CPU times: user 1.78 s, sys: 16.9 ms, total: 1.8 s\n", + "Wall time: 1.8 s\n" + ] + }, + { + "data": { + "text/plain": [ + "31" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time show((2, 2, 2, 2))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Here are solutions for nearby years:" + "# Four 9s" ] }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 24, "metadata": {}, "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "539,849 entries for (9, 9, 9, 9)\n", + "\n", + " 0 = 99-99\n", + " 1 = 99/99\n", + " 2 = (99/9)-9\n", + " 3 = (9+(9+9))/9\n", + " 4 = 9-(9/(.9+.9))\n", + " 5 = √9+((9+9)/9)\n", + " 6 = ((9+(9+9))/9)!\n", + " 7 = 9-((9+9)/9)\n", + " 8 = ((9*9)-9)/9\n", + " 9 = 9+(9*(9-9))\n", + " 10 = 99/9.9\n", + " 11 = 9+((9+9)/9)\n", + " 12 = (9+99)/9\n", + " 13 = √9+(9+(9/9))\n", + " 14 = 9+(9/(.9+.9))\n", + " 15 = 9+((9+9)/√9)\n", + " 16 = 9+((9/.9)-√9)\n", + " 17 = 9+(9-(9/9))\n", + " 18 = 99-(9*9)\n", + " 19 = 9+(9+(9/9))\n", + " 20 = 9+(99/9)\n", + " 21 = (9+9.9)/.9\n", + " 22 = √9+(9+(9/.9))\n", + " 23 = √9+((9+9)/.9)\n", + " 24 = (99/√9)-9\n", + " 25 = √9!+(9+(9/.9))\n", + " 26 = (√9*9)-(9/9)\n", + " 27 = 9+(9+√(9*9))\n", + " 28 = 9+(9+(9/.9))\n", + " 29 = 9+((9+9)/.9)\n", + " 30 = (9+(9+9))/.9\n", + " 31 = (.9+(√9*9))/.9\n", + " 32 = (99-√9)/√9\n", + " 33 = √9*(99/9)\n", + " 34 = (√9+99)/√9\n", + " 35 = (√9!+99)/√9\n", + " 36 = 9+(9+(9+9))\n", + " 37 = (√9*9)+(9/.9)\n", + " 38 = √9!*(√9+(√9/.9))\n", + " 39 = 9+(√9*(9/.9))\n", + " 40 = (9+(√9*9))/.9\n", + " 41 = (.9+(√9!*√9!))/.9\n", + " 42 = 9+(99/√9)\n", + " 43 = √9+(√9!*(√9!/.9))\n", + " 44 = (√9!*9)-(9/.9)\n", + " 45 = 9*(9/(.9+.9))\n", + " 46 = (√9!*√9!)+(9/.9)\n", + " 47 = √9*(9+(√9!/.9))\n", + " 48 = √9!*(9-(9/9))\n", + " 49 = 9+(√9!*(√9!/.9))\n", + " 50 = ((√9!*9)-9)/.9\n", + " 51 = 9*(9-(√9/.9))\n", + " 52 = √9!*(9-(√9/9))\n", + " 53 = (√9!*9)-(9/9)\n", + " 54 = 9*((9+9)/√9)\n", + " 55 = 99/(.9+.9)\n", + " 56 = √9!*(9+(√9/9))\n", + " 57 = √9*(9+(9/.9))\n", + " 58 = √9!*(9+(√9!/9))\n", + " 59 = ((√9!*9)-.9)/.9\n", + " 60 = √9*((9+9)/.9)\n", + " 61 = (.9+(√9!*9))/.9\n", + "CPU times: user 7.42 s, sys: 40.3 ms, total: 7.46 s\n", + "Wall time: 7.47 s\n" + ] + }, { "data": { "text/plain": [ - "{2010: '((((10*((9+((8+7)*6))+(5/4)))+3)*2)-1)',\n", - " 2011: '((((((10+9)*8)+7)*(6+(5*(4/3))))-2)-1)',\n", - " 2012: '((((((10+9)*8)+7)*(6+(5*(4/3))))-2)/1)',\n", - " 2013: '((((((10+9)*8)+7)*(6+(5*(4/3))))-2)+1)',\n", - " 2014: '((((10-(9*8))*(7-(6*((5+4)+3))))/2)-1)',\n", - " 2015: '((((((((10*9)+8)-7)*(6+5))+4)+3)*2)-1)',\n", - " 2016: '(((((((10+((9*8)*7))-6)-5)*4)+3)+2)-1)',\n", - " 2017: '(((((((10+((9*8)*7))-6)-5)*4)+3)+2)/1)',\n", - " 2018: '(((((((10+((9*8)*7))-6)-5)*4)+3)+2)+1)',\n", - " 2019: '((((10+9)+((8+7)*(6+((5*4)*3))))*2)+1)',\n", - " 2020: '((((10+((((9*8)*7)/(6-5))*4))-3)-2)-1)',\n", - " 2021: '((((10+((((9*8)*7)/(6-5))*4))-3)-2)/1)',\n", - " 2022: '((((10+((((9*8)*7)/(6-5))*4))-3)-2)+1)',\n", - " 2023: '(((((10+(((9*(8+7))*6)*5))/4)-3)*2)-1)',\n", - " 2024: '(((((10+(((9*(8+7))*6)*5))/4)-3)*2)/1)'}" + "62" ] }, - "execution_count": 12, + "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "{y: expressions(c10)[y] for y in range(2010, 2025)}" + "%time show((9, 9, 9, 9))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Four 5s" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "button": false, + "new_sheet": false, + "run_control": { + "read_only": false + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "202,937 entries for (5, 5, 5, 5)\n", + "\n", + " 0 = 55-55\n", + " 1 = 55/55\n", + " 2 = (5/5)+(5/5)\n", + " 3 = (5+(5+5))/5\n", + " 4 = ((5*5)-5)/5\n", + " 5 = 5+(5*(5-5))\n", + " 6 = (55/5)-5\n", + " 7 = 5+((5+5)/5)\n", + " 8 = 5.5+(.5*5)\n", + " 9 = 5+(5-(5/5))\n", + " 10 = 55/5.5\n", + " 11 = 5.5+5.5\n", + " 12 = (5+55)/5\n", + " 13 = .5+(.5*(5*5))\n", + " 14 = 5+((5-.5)/.5)\n", + " 15 = (5*5)-(5+5)\n", + " 16 = 5+(55/5)\n", + " 17 = 5+(5!/(5+5))\n", + " 18 = (5-.5)/(.5*.5)\n", + " 19 = (5+(5-.5))/.5\n", + " 20 = 5+(5+(5+5))\n", + " 21 = (5+5.5)/.5\n", + " 22 = 55/(.5*5)\n", + " 23 = .5+(5*(5-.5))\n", + " 24 = (5*5)-(5/5)\n", + " 25 = .5*(55-5)\n", + " 26 = (5/5)+(5*5)\n", + " 27 = (.5*55)-.5\n", + " 28 = .5+(.5*55)\n", + " 29 = (5!+(5*5))/5\n", + " 30 = 55-(5*5)\n", + " 31 = 55-(5!/5)\n", + " 32 = ((5+5)/5)^5\n", + " 33 = .5*(5!*.55)\n", + " 34 = 5+(5+(5!/5))\n", + " 35 = 5+(5+(5*5))\n", + " 36 = (5!+(.5*5!))/5\n", + " 37 = (.5^-5)+√(5*5)\n", + " 38 = ((5!/5)-5)/.5\n", + "CPU times: user 3.33 s, sys: 17.6 ms, total: 3.35 s\n", + "Wall time: 3.35 s\n" + ] + }, + { + "data": { + "text/plain": [ + "39" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time show((5, 5, 5, 5))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Five 5s " + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "7,624,387 entries for (5, 5, 5, 5, 5)\n", + "\n", + " 0 = 5*(55-55)\n", + " 1 = 5^(55-55)\n", + " 2 = 55/(.5*55)\n", + " 3 = .5*((55/5)-5)\n", + " 4 = 5-(55/55)\n", + " 5 = 5*(55/55)\n", + " 6 = 5+(55/55)\n", + " 7 = ((5+55)/5)-5\n", + " 8 = .5*(5+(55/5))\n", + " 9 = (55-(5+5))/5\n", + " 10 = (55/5)-(5/5)\n", + " 11 = 5*(55/(5*5))\n", + " 12 = (5/5)+(55/5)\n", + " 13 = (5+(5+55))/5\n", + " 14 = (5*5)-(55/5)\n", + " 15 = 5+(55/5.5)\n", + " 16 = 5+(5.5+5.5)\n", + " 17 = 5+((5+55)/5)\n", + " 18 = 5.5+(.5*(5*5))\n", + " 19 = (5*5)-(.5+5.5)\n", + " 20 = 55/(5*.55)\n", + " 21 = 5+(5+(55/5))\n", + " 22 = (55+55)/5\n", + " 23 = (5+(55/.5))/5\n", + " 24 = (5+55)/(.5*5)\n", + " 25 = 55-(5+(5*5))\n", + " 26 = 5*(5+(5/(5*5)))\n", + " 27 = 5+(55/(.5*5))\n", + " 28 = .5*(.5+55.5)\n", + " 29 = 5+((5*5)-(5/5))\n", + " 30 = 5*((55/5)-5)\n", + " 31 = .5+(5.5+(5*5))\n", + " 32 = (5+(55/5))/.5\n", + " 33 = .55*(5+55)\n", + " 34 = (5!+(55-5))/5\n", + " 35 = 5+(55-(5*5))\n", + " 36 = (5*5)+(55/5)\n", + " 37 = 5+(((5+5)/5)^5)\n", + " 38 = .5+(5*(5+(.5*5)))\n", + " 39 = ((5*5)-5.5)/.5\n", + " 40 = 55-(5+(5+5))\n", + " 41 = (5!*.55)-(5*5)\n", + " 42 = (5+5.5)/(.5*.5)\n", + " 43 = (.5^-5)+(55/5)\n", + " 44 = 55-(55/5)\n", + " 45 = (5*5!)-555\n", + " 46 = 55+((.5-5)/.5)\n", + " 47 = (5*(5+(5-.5)))-.5\n", + " 48 = .5+(5*(5+(5-.5)))\n", + " 49 = 55-(.5+5.5)\n", + " 50 = 55.5-5.5\n", + " 51 = .5+(55.5-5)\n", + " 52 = 55-(.5+(.5*5))\n", + " 53 = 55-((5+5)/5)\n", + " 54 = ((5*55)-5)/5\n", + " 55 = .5*(55+55)\n", + " 56 = (5+(5*55))/5\n", + " 57 = 55+((5+5)/5)\n", + " 58 = (.5*5)+55.5\n", + " 59 = 5+(55-(5/5))\n", + " 60 = 5*((5+55)/5)\n", + " 61 = 5.5+55.5\n", + " 62 = (.5*(5*(5*5)))-.5\n", + " 63 = .5+(.5*(5*(5*5)))\n", + " 64 = 55+((5-.5)/.5)\n", + " 65 = .5*(5+(5*(5*5)))\n", + " 66 = 55+(55/5)\n", + " 67 = 55+(5!/(5+5))\n", + " 68 = 5.5+(.5*(5+5!))\n", + " 69 = 5+(.5^(-.5-5.5))\n", + " 70 = 5+(5+(5+55))\n", + " 71 = 55+(.5/(.5^5))\n", + " 72 = (.5+5.5)!/(5+5)\n", + " 73 = (5*5)+(5!/(.5*5))\n", + " 74 = (5!/5)+(55-5)\n", + " 75 = 55+((5*5)-5)\n", + " 76 = 5+(5+(5!*.55))\n", + " 77 = 5+(5!*(.5+(.5/5)))\n", + " 78 = 55+((5!-5)/5)\n", + " 79 = (5!+(5*55))/5\n", + " 80 = 5*(5+(55/5))\n", + " 81 = 5+(.5*(5!+(.5^-5)))\n", + " 82 = (.5^-5)+(55-5)\n", + " 83 = (.5*5!)+((5!-5)/5)\n", + " 84 = 5+((5!/5)+55)\n", + " 85 = 5+(55+(5*5))\n", + " 86 = (55/.5)-(5!/5)\n", + " 87 = (555-5!)/5\n", + " 88 = 5*(.55/(.5^5))\n", + " 89 = (5*5)+((.5^-5)/.5)\n", + " 90 = (55-(5+5))/.5\n", + " 91 = (5*5)+(5!*.55)\n", + " 92 = 5+((.5^-5)+55)\n", + " 93 = .5+(5!-(.5*55))\n", + " 94 = 5!-((5/5)+(5*5))\n", + " 95 = (55/.55)-5\n", + " 96 = 5!+((5/5)-(5*5))\n", + " 97 = 5!+((.5^-5)-55)\n", + " 98 = 5!-(55/(.5*5))\n", + " 99 = (55-5.5)/.5\n", + " 100 = 5*(5+(5+(5+5)))\n", + " 101 = (55.5-5)/.5\n", + " 102 = (.5+(5*5))/(.5*.5)\n", + " 103 = 55+(5!/(.5*5))\n", + " 104 = ((55-.5)/.5)-5\n", + " 105 = 55+(55-5)\n", + " 106 = (555/5)-5\n", + " 107 = 5!-(.5+(.5*(5*5)))\n", + " 108 = (55-(5/5))/.5\n", + " 109 = (55/.5)-(5/5)\n", + " 110 = (555-5)/5\n", + " 111 = (5/5)+(55/.5)\n", + " 112 = (5+555)/5\n", + " 113 = .5+(5*(5*(5-.5)))\n", + " 114 = 5+((55-.5)/.5)\n", + " 115 = 5+(55+55)\n", + " 116 = 5+(555/5)\n", + " 117 = 5!-((5+(5+5))/5)\n", + " 118 = ((5*5!)-(5+5))/5\n", + " 119 = 5!-(55/55)\n", + " 120 = 5+(5+(55/.5))\n", + " 121 = (5+55.5)/.5\n", + " 122 = (5*((5*5)-.5))-.5\n", + " 123 = .5+(5*((5*5)-.5))\n", + " 124 = (5*(5*5))-(5/5)\n", + " 125 = .5*(5*(55-5))\n", + " 126 = (5/5)+(5*(5*5))\n", + " 127 = (5*(.5+(5*5)))-.5\n", + " 128 = .5+(5*(.5+(5*5)))\n", + " 129 = (5!-55.5)/.5\n", + " 130 = (5+(5+55))/.5\n", + " 131 = 5!+(5.5+5.5)\n", + " 132 = 5!+((5+55)/5)\n", + " 133 = (5+(5!*5.5))/5\n", + " 134 = (5!/5)+(55/.5)\n", + " 135 = .5*((5*55)-5)\n", + " 136 = 5+(5!+(55/5))\n", + " 137 = (.5*(5*55))-.5\n", + " 138 = .5+(.5*(5*55))\n", + " 139 = ((.5+5.5)!/5)-5\n", + " 140 = .5*(5+(5*55))\n", + " 141 = 5!+((5+5.5)/.5)\n", + " 142 = 5!+(55/(.5*5))\n", + " 143 = ((.5+5.5)!-5)/5\n", + " 144 = ((55/5)-5)!/5\n", + " 145 = (5*(5+(5*5)))-5\n", + " 146 = 5!+((5/5)+(5*5))\n", + " 147 = 5!+((.5*55)-.5)\n", + " 148 = .5+(5!+(.5*55))\n", + " 149 = (5!/5)+(5*(5*5))\n", + " 150 = 5*(55-(5*5))\n", + " 151 = 5!+(55-(5!/5))\n", + " 152 = 5!+(((5+5)/5)^5)\n", + " 153 = 5!+(.5*(5!*.55))\n", + " 154 = 5+(5+(5!+(5!/5)))\n", + " 155 = 5+(5*(5+(5*5)))\n", + " 156 = (5!+(5!*5.5))/5\n", + " 157 = (.5^-5)+(5*(5*5))\n", + " 158 = ((5!/5)+55)/.5\n", + " 159 = (5/(.5^5))-(5/5)\n", + " 160 = (55+(5*5))/.5\n", + " 161 = (5/5)+(5/(.5^5))\n", + " 162 = (5*(.5+(.5^-5)))-.5\n", + " 163 = .5+(5*(.5+(.5^-5)))\n", + " 164 = 5!+(.5*(5!-(.5^-5)))\n", + " 165 = 55+(55/.5)\n", + " 166 = 5!+((5!-5)/(.5*5))\n", + " 167 = 5!+(((5!/.5)-5)/5)\n", + " 168 = (5+(.5*.5))/(.5^5)\n", + " 169 = 5!+(((5*5)-.5)/.5)\n", + " 170 = 5+(5+(5/(.5^5)))\n", + " 171 = (5.5/(.5^5))-5\n", + "CPU times: user 2min 33s, sys: 747 ms, total: 2min 34s\n", + "Wall time: 2min 34s\n" + ] + }, + { + "data": { + "text/plain": [ + "172" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time show((5, 5, 5, 5, 5), False)" ] }, { @@ -624,30 +1444,24 @@ "\n", "Alex Bellos had another challenge: \n", "\n", - "> I was half hoping a computer scientist would let me know exactly how many solutions there are with only the four basic operations. Maybe someone will. \n", + "> I was half hoping a computer scientist would let me know exactly how many solutions [to the Countdown problem] there are with only the four basic operations. Maybe someone will. \n", "\n", "As it stands, my program can't answer that question, because I only keep one expression for each value. \n", "\n", - "Also, I'm not sure what it means to be a distinct solution. For example, are `((10+9)+8)` and `(10+(9+8))` different, or are they same, because they both are equivalent to `(10+9+8)`? Similarly, are `((3-2)-1)` and `(3-(2+1)` different, or the same because they both are equivalent to `(3 + -2 + -1)`? I think the notion of \"distinct solution\" is just inherently ambiguous, and each of these questions could reasonably be answered either way. My choice is to count each of these as distinct: every expression has exactly ten numbers, nine operators, and nine pairs of brackets, and if an expression differs in any character, it is different. But I won't argue with anyone who prefers a different definition of \"distinct solution.\"\n", + "Also, I'm not sure what it means to be a distinct solution. For example, are `((10+9)+8)` and `(10+(9+8))` different, or are they same, because they both are equivalent to `(10+9+8)`? Similarly, are `((3-2)-1)` and `(3-(2+1)` different, or the same because they both are equivalent to `(3 + -2 + -1)`? I think the notion of \"distinct solution\" is just inherently ambiguous. My choice is to count each of these as distinct: every expression has exactly ten numbers, nine operators, and nine pairs of brackets, and if an expression differs in any character, it is different. But I won't argue with anyone who prefers a different definition of \"distinct solution.\"\n", "\n", - "So how can I count expressions? One approach would be to go back to enumerating every equation (all 4862 × 49 = 1.2 bilion of them) and checking which ones equal 2016. That would take about 40 hours with my Python program, but I could get it under 40 minutes in a more efficient language.\n", + "So how can I count expressions? One approach would be to go back to enumerating every equation (all 4862 × 49 = 1.2 bilion of them) and checking which ones equal 2016. That would take about 40 hours with my Python program. Another approach is mimic `expressions`, but to make a table of counts, rather than expression strings. I want:\n", "\n", - "Another approach is to count subexpressions as the table is filled in. We won't enumerate all the expressions, just count them. I'll introduce a second table, `COUNTS`, such that\n", - "\n", - " COUNTS[(10, 9, 8)][27] == 2\n", + " counts[(10, 9, 8)][27] == 2\n", " \n", - "because there are 2 ways to make 27 with the numbers `(10, 9, 8)`, namely, `((10+9)+8)` and `(10+(9+8))`.\n", - "How do we compute the counts? By looking at every split and operator choice that can make the value, and summing up (over all of these) the product of the counts for the two sides. For example, there are 2 ways to make 27 with `(10 ... 8)`, and it turns out there are 3526 ways to make 1 with `(7 ... 1)`. So there are 2 × 3526 = 7052 ways to make 28 with this split by adding 27 and 1. \n", - "\n", - "I'll make `expr` maintain `COUNTS` as well as `EXPS`. And I'll define `clear` to clear out the cache of `COUNTS` and `EXPS`, so that we can fill the tables with our new, improved entries." + "because there are 2 ways to make 27 with the numbers `(10, 9, 8)`, namely, `((10+9)+8)` and `(10+(9+8))`. And in general, if there are `Lcount` ways to make `L` using `Lnums` and `Rcount` ways to make `R` using `Rnums` then there are `Lcount * Rcount` ways of making `L * R` using `Lnums` followed by `Rnums`. So we have:\n" ] }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 27, "metadata": { "button": false, - "collapsed": true, "new_sheet": false, "run_control": { "read_only": false @@ -655,132 +1469,48 @@ }, "outputs": [], "source": [ - "COUNTS = defaultdict(Counter) # e.g., COUNTS[(10, 9, 8)][27] == 2\n", - "\n", - "def expressions(numbers):\n", - " \"Fill EXPS table for numbers, and all sub-sequences of numbers. Return EXPS[numbers]\"\n", - " if numbers in EXPS: # Already did the work\n", - " pass\n", - " elif len(numbers) == 1: # Only one way to make an expression out of a single number\n", - " expr(numbers, numbers[0], str(numbers[0]), 1)\n", - " else: # Split in all ways; fill tables for left and right; combine tables in all ways\n", + "@lru_cache()\n", + "def counts(numbers):\n", + " \"Return a dict of {value: count} for every value that can be made from numbers.\"\n", + " if len(numbers) == 1: # Only one way to make an expression out of a single number\n", + " return Counter(numbers)\n", + " else: \n", + " result = Counter()\n", " for (Lnums, Rnums) in splits(numbers):\n", - " for (L, R) in itertools.product(expressions(Lnums), expressions(Rnums)):\n", - " Lexp, Rexp = '(' + EXPS[Lnums][L], EXPS[Rnums][R] + ')'\n", - " count = COUNTS[Lnums][L] * COUNTS[Rnums][R]\n", - " expr(numbers, L * R, Lexp + '*' + Rexp, count)\n", - " expr(numbers, L - R, Lexp + '-' + Rexp, count)\n", - " expr(numbers, L + R, Lexp + '+' + Rexp, count)\n", - " if R != 0: \n", - " expr(numbers, L / R, Lexp + '/' + Rexp, count)\n", - " return EXPS[numbers]\n", - "\n", - "def expr(numbers, val, exp, count):\n", - " \"Fill EXPS[numbers][val] with exp, and increment COUNTS.\"\n", - " EXPS[numbers][val] = exp\n", - " COUNTS[numbers][val] += count\n", - " \n", - "def clear(): EXPS.clear(); COUNTS.clear()" + " for L in counts(Lnums):\n", + " for R in counts(Rnums):\n", + " count = counts(Lnums)[L] * counts(Rnums)[R]\n", + " result[L + R] += count\n", + " result[L - R] += count\n", + " result[L * R] += count\n", + " if R != 0:\n", + " result[L / R] += count\n", + " return result" ] }, { "cell_type": "code", - "execution_count": 14, - "metadata": { - "button": false, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, + "execution_count": 28, + "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "{-62: '(10-(9*8))',\n", - " -7: '((10-9)-8)',\n", - " -6.888888888888889: '((10/9)-8)',\n", - " 0.125: '((10-9)/8)',\n", - " 0.1388888888888889: '((10/9)/8)',\n", - " 0.5882352941176471: '(10/(9+8))',\n", - " 2.375: '((10+9)/8)',\n", - " 8: '((10-9)*8)',\n", - " 8.875: '(10-(9/8))',\n", - " 8.88888888888889: '((10/9)*8)',\n", - " 9: '((10-9)+8)',\n", - " 9.11111111111111: '((10/9)+8)',\n", - " 10: '(10/(9-8))',\n", - " 11: '((10+9)-8)',\n", - " 11.125: '(10+(9/8))',\n", - " 11.25: '((10*9)/8)',\n", - " 27: '((10+9)+8)',\n", - " 82: '((10*9)-8)',\n", - " 98: '((10*9)+8)',\n", - " 152: '((10+9)*8)',\n", - " 170: '(10*(9+8))',\n", - " 720: '((10*9)*8)'}" + "Counter({0: 1, 1.0: 1, 4: 2})" ] }, - "execution_count": 14, + "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "clear()\n", - "expressions((10, 9, 8))" + "counts((2, 2)) # corresponds to {0: '2-2', 1.0: '2/2', 4: '2+2' or '2*2'}" ] }, { "cell_type": "code", - "execution_count": 15, - "metadata": { - "button": false, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "outputs": [ - { - "data": { - "text/plain": [ - "Counter({-62: 1,\n", - " -7: 2,\n", - " -6.888888888888889: 1,\n", - " 0.125: 1,\n", - " 0.1388888888888889: 2,\n", - " 0.5882352941176471: 1,\n", - " 2.375: 1,\n", - " 8: 1,\n", - " 8.875: 1,\n", - " 8.88888888888889: 2,\n", - " 9: 2,\n", - " 9.11111111111111: 1,\n", - " 10: 2,\n", - " 11: 2,\n", - " 11.125: 1,\n", - " 11.25: 2,\n", - " 27: 2,\n", - " 82: 2,\n", - " 98: 1,\n", - " 152: 1,\n", - " 170: 1,\n", - " 720: 2})" - ] - }, - "execution_count": 15, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "COUNTS[(10, 9, 8)]" - ] - }, - { - "cell_type": "code", - "execution_count": 16, + "execution_count": 29, "metadata": { "button": false, "new_sheet": false, @@ -795,13 +1525,13 @@ "2" ] }, - "execution_count": 16, + "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "COUNTS[(10, 9, 8)][27]" + "counts((10, 9, 8))[27]" ] }, { @@ -814,63 +1544,12 @@ } }, "source": [ - "Looks good to me. Now let's repeat the computation, this time keeping track of `COUNTS`:" + "Looks good to me. Now let's see if we can answer the question." ] }, { "cell_type": "code", - "execution_count": 17, - "metadata": { - "button": false, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "CPU times: user 1min 4s, sys: 1.15 s, total: 1min 5s\n", - "Wall time: 1min 6s\n" - ] - }, - { - "data": { - "text/plain": [ - "'(((((((10+((9*8)*7))-6)-5)*4)+3)+2)-1)'" - ] - }, - "execution_count": 17, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "clear()\n", - "\n", - "%time expressions(c10)[2016]" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "button": false, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "source": [ - "# The Answer (?)\n", - "\n", - "Now we can read off the answer:" - ] - }, - { - "cell_type": "code", - "execution_count": 18, + "execution_count": 30, "metadata": { "button": false, "new_sheet": false, @@ -885,13 +1564,13 @@ "30066" ] }, - "execution_count": 18, + "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "COUNTS[c10][2016]" + "counts(c10)[2016]" ] }, { @@ -906,18 +1585,14 @@ "source": [ "This says there are 30,066 distinct expressions for 2016. \n", "\n", - "**But I don't believe it.**\n", + "**But we're forgetting about round-off error.**\n", "\n", - "Why not? Because floating point division can have round-off errors. \n", - "\n", - "# Dealing with Round-off Errors\n", - "\n", - "Consider this:" + "Let's find all the values that are very near to `2016`:" ] }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 31, "metadata": { "button": false, "new_sheet": false, @@ -929,94 +1604,28 @@ { "data": { "text/plain": [ - "2015.9999999999998" + "{2015.999999999997: 15,\n", + " 2015.999999999999: 10,\n", + " 2015.9999999999993: 14,\n", + " 2015.9999999999995: 1930,\n", + " 2015.9999999999998: 5868,\n", + " 2016.0: 30066,\n", + " 2016.0000000000002: 5792,\n", + " 2016.0000000000005: 510,\n", + " 2016.0000000000018: 264,\n", + " 2016.000000000002: 18,\n", + " 2016.0000000000023: 12}" ] }, - "execution_count": 19, + "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "2015 + 1/3 + 1/3 + 1/3" - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "metadata": { - "button": false, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "outputs": [ - { - "data": { - "text/plain": [ - "False" - ] - }, - "execution_count": 20, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "2015 + 1/3 + 1/3 + 1/3 == 2016" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "button": false, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "source": [ - "This means there might be perfectly good expressions that are counted under `2015.9999999999998` (or some similar number) when they should be counted for `2016`. Let's find all the values that are very near to `2016`:" - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "metadata": { - "button": false, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "outputs": [ - { - "data": { - "text/plain": [ - "{2015.999999999997,\n", - " 2015.999999999999,\n", - " 2015.9999999999993,\n", - " 2015.9999999999995,\n", - " 2015.9999999999998,\n", - " 2016,\n", - " 2016.0000000000002,\n", - " 2016.0000000000005,\n", - " 2016.0000000000018,\n", - " 2016.000000000002,\n", - " 2016.0000000000023}" - ] - }, - "execution_count": 21, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "epsilon = 10 ** -8\n", - "\n", - "{y for y in expressions(c10)\n", - " if abs(y - 2016) < epsilon}" + "{y: counts(c10)[y] \n", + " for y in counts(c10)\n", + " if abs(y - 2016) < 1e-10}" ] }, { @@ -1030,57 +1639,12 @@ }, "source": [ "I suspect that all of these actually should be exactly 2016. \n", - "\n", - "To be absolutely sure, I could re-do the calculations using exact rational arithmetic, as provided by the `fractions.Fraction` data type. From experience I know that would be an order of magnitude slower, so instead I'll just add up all the counts in the `COUNTS` table that are within epsilon of 2016:" + "To be absolutely sure, I could re-do the calculations using exact rational arithmetic, as provided by the `fractions.Fraction` data type. From experience I know that would be an order of magnitude slower, so instead I'll just add up the counts:" ] }, { "cell_type": "code", - "execution_count": 22, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "{2015.999999999997: 15,\n", - " 2015.999999999999: 10,\n", - " 2015.9999999999993: 14,\n", - " 2015.9999999999995: 1930,\n", - " 2015.9999999999998: 5868,\n", - " 2016: 30066,\n", - " 2016.0000000000002: 5792,\n", - " 2016.0000000000005: 510,\n", - " 2016.0000000000018: 264,\n", - " 2016.000000000002: 18,\n", - " 2016.0000000000023: 12}" - ] - }, - "execution_count": 22, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "{y: COUNTS[c10][y] for y in expressions(c10)\n", - " if abs(y - 2016) < epsilon}" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "button": false, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "source": [ - "# The Answer (!)" - ] - }, - { - "cell_type": "code", - "execution_count": 23, + "execution_count": 32, "metadata": {}, "outputs": [ { @@ -1089,7 +1653,7 @@ "44499" ] }, - "execution_count": 23, + "execution_count": 32, "metadata": {}, "output_type": "execute_result" } @@ -1111,17 +1675,6 @@ "I have more confidence in this answer, 44,499, than in 30,066, but I wouldn't accept it as definitive until it was independently verified and passed an extensive test suite. And of course, if you have a different definition of \"distinct solution,\" you will get a different answer." ] }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "clear()" - ] - }, { "cell_type": "markdown", "metadata": { @@ -1132,1831 +1685,77 @@ } }, "source": [ - "# Exponentiation, and Four 4s\n", - "\n", - "Now let's turn to another of Alex's puzzles: making 2016 and other target values from a string of four or five `4`s, with exponentiation allowed. Exponentiation is tricky for five reasons:\n", - "\n", - "- **Division by zero**: `(0 ^ -1)` is the same as `(1 / 0)`, and gives a `ZeroDivisionError`.\n", - "- **Irrationals**: `(3 ^ (1 / 2))` is an irrational number; so we can't do exact rational arithmetic.\n", - "- **Imaginaries**: `(-1 ^ (1 / 2))` is an imaginary number, but Python gives a `ValueError`.\n", - "- **Overflow**: `(10. ^ (9. ^ 8.))`, as a `float`, gives a `OverflowError`.\n", - "- **Finite memory**: [`(10 ^ (9 ^ (8 * 7)))`](http://www.wolframalpha.com/input/?i=10+%5E+9+%5E+56), as an `int`, gives an `OutOfMemoryError` (even if your memory uses every atom on Earth).\n", - "\n", - "How do we deal with this? We can't do exact rational arithmetic. We could try to do exact *algebra*, perhaps using [SymPy](http://www.sympy.org/en/index.html), but that seems difficult\n", - "and computationally expensive, so instead I will abandon the goal of exact computation, and do everything in the domain of floats (reluctantly accepting that there will be some round-off errors). We'll coerce numbers to floats when we first put them in the table, and all subsequent operations will be with floats. I define a new function, `expr2`, to call `expr`, catching arithmetic errors. Since we are making some rather arbitrary decisions about what expressions are allowed (e.g. imaginary numbers are not), I'll give up on trying to maintain `COUNTS`." - ] - }, - { - "cell_type": "code", - "execution_count": 62, - "metadata": { - "button": false, - "collapsed": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "outputs": [], - "source": [ - "from operator import add, sub, mul, truediv\n", - "\n", - "def expressions(numbers):\n", - " \"Fill EXPS table for numbers, and all sub-sequences of numbers. Return EXPS[numbers]\"\n", - " if numbers in EXPS: # Already did the work\n", - " pass\n", - " elif len(numbers) == 1: # Only one way to make an expression out of a single number\n", - " expr(numbers, float(numbers[0]), str(numbers[0]))\n", - " else: # Split in all ways; fill tables for left and right; combine tables in all ways\n", - " for (Lnums, Rnums) in splits(numbers):\n", - " for (L, R) in itertools.product(expressions(Lnums), expressions(Rnums)):\n", - " Lexp, Rexp = '(' + EXPS[Lnums][L], EXPS[Rnums][R] + ')'\n", - " expr2(numbers, L, pow, R, Lexp + '^' + Rexp)\n", - " expr2(numbers, L, truediv, R, Lexp + '/' + Rexp)\n", - " expr2(numbers, L, mul, R, Lexp + '*' + Rexp)\n", - " expr2(numbers, L, add, R, Lexp + '+' + Rexp)\n", - " expr2(numbers, L, sub, R, Lexp + '-' + Rexp)\n", - " return EXPS[numbers]\n", - "\n", - "def expr2(numbers, L, op, R, exp): \n", - " \"Fill table entries for op(L, R), catching errors.\"\n", - " try:\n", - " expr(numbers, op(L, R), exp)\n", - " except (ArithmeticError, ValueError):\n", - " pass\n", - " \n", - "def expr(numbers, value, exp): EXPS[numbers][value] = exp" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "button": false, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "source": [ - "Now we can solve the \"2016 with five fours\" puzzle:" - ] - }, - { - "cell_type": "code", - "execution_count": 64, - "metadata": { - "button": false, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "outputs": [ - { - "data": { - "text/plain": [ - "'(((4^4)-4)*(4+4))'" - ] - }, - "execution_count": 64, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "clear()\n", - "\n", - "expressions((4, 4, 4, 4, 4))[2016]" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "button": false, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "source": [ - "I'll define a function to create a table of makeable integers:" - ] - }, - { - "cell_type": "code", - "execution_count": 26, - "metadata": { - "button": false, - "collapsed": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "outputs": [], - "source": [ - "def makeable(numbers):\n", - " \"A table of {i: expression} for all integers i from 0 up to first unmakeable.\"\n", - " return {i: expressions(numbers)[i]\n", - " for i in range(unmakeable(numbers))}\n", - "\n", - "def unmakeable(numbers):\n", - " \"Smallest positive integer than can't be made by numbers.\"\n", - " return next(i for i in itertools.count(1) if i not in expressions(numbers))" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "button": false, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "source": [ - "We'll use this to see if we can solve the \"0 to 9 with four fours\" puzzle:" - ] - }, - { - "cell_type": "code", - "execution_count": 65, - "metadata": { - "button": false, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "outputs": [ - { - "data": { - "text/plain": [ - "{0: '(((4+4)-4)-4)',\n", - " 1: '(((4+4)-4)/4)',\n", - " 2: '((4/(4+4))*4)',\n", - " 3: '(((4+4)+4)/4)',\n", - " 4: '(((4-4)*4)+4)',\n", - " 5: '(((4*4)+4)/4)',\n", - " 6: '(((4+4)/4)+4)',\n", - " 7: '((4-(4/4))+4)',\n", - " 8: '(((4+4)-4)+4)',\n", - " 9: '(((4/4)+4)+4)'}" - ] - }, - "execution_count": 65, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "makeable((4, 4, 4, 4))" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "button": false, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "source": [ - "Yes: we can get 0 to 9 (but not 10).\n", - "\n", - "Now I'll see what integers we can make with five fives. Legend has it that you can get all the way up to 55:" - ] - }, - { - "cell_type": "code", - "execution_count": 67, - "metadata": { - "button": false, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "outputs": [ - { - "data": { - "text/plain": [ - "{0: '((((5-5)*5)-5)+5)',\n", - " 1: '(((5-(5*5))/5)+5)',\n", - " 2: '((((5+5)/5)-5)+5)',\n", - " 3: '((((5*5)-5)-5)/5)',\n", - " 4: '((((5-5)-5)/5)+5)',\n", - " 5: '((5/((5^5)^5))+5)',\n", - " 6: '((((5/5)+5)*5)/5)',\n", - " 7: '(((5/5)+(5/5))+5)',\n", - " 8: '((((5+5)+5)/5)+5)',\n", - " 9: '((((5+5)*5)-5)/5)',\n", - " 10: '((((5*5)-5)-5)-5)',\n", - " 11: '((((5+5)*5)+5)/5)',\n", - " 12: '((((5+5)/5)+5)+5)'}" - ] - }, - "execution_count": 67, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "clear()\n", - "\n", - "five5s = (5, 5, 5, 5, 5)\n", - "\n", - "makeable(five5s)" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "button": false, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "source": [ - "We didn't get there. \n", - "\n", - "# More Operations\n", - "\n", - "With some research, I [see](http://www.infobarrel.com/Five_Fives_Problem_Recreational_Mathematics) that others who got up to 55 with five 5s used some or all of these three concepts:\n", - "\n", - "- **digit concatenation**: `55`\n", - "- **decimal point**: `.5`\n", - "- **unary operations**: `-5`, `5!`, and √ `5`\n", - "\n", - "\n", - "We'll refactor `expressions` to call the following three new subfunctions:\n", - "\n", - "- `digit_expressions`: For every subsequence of numbers, we'll smush the digits together, and then make a table entry for those resulting digits as an integer, and with a decimal point in each possible position.\n", - "- `binary_expressions`: The code that previously was the main body of `expressions`.\n", - "- `unary_expressions`: Apply the unary operators to every entry in the table. \n", - "\n", - "We'll still do all computation in the domain of floats." - ] - }, - { - "cell_type": "code", - "execution_count": 68, - "metadata": { - "button": false, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "outputs": [], - "source": [ - "from math import sqrt, factorial\n", - "\n", - "def expressions(numbers):\n", - " \"Fill EXPS table for numbers, and all sub-sequences of numbers. Return EXPS[numbers]\"\n", - " if numbers not in EXPS: \n", - " digit_expressions(numbers)\n", - " binary_expressions(numbers)\n", - " unary_expressions(numbers)\n", - " return EXPS[numbers]\n", - "\n", - "def digit_expressions(numbers):\n", - " \"Fill EXPS with digits, with opyional minus sign and decimal point.\"\n", - " # digit_expressions(1, 2) => 12, .12, 1.2\n", - " exp = ''.join(str(n) for n in numbers)\n", - " for d in range(len(exp) + 1):\n", - " decimal = (exp[:d] + '.' + exp[d:]).rstrip('.')\n", - " if d < 2 or not decimal.startswith('0'): # '01' is illegal; '0', '0.1' ok\n", - " expr(numbers, float(decimal), decimal)\n", - " expr(numbers, -float(decimal), '-' + decimal)\n", - " \n", - "def binary_expressions(numbers):\n", - " \"Fill EXPS with all expressions formed by splitting numbers and combining with an op.\"\n", - " for (Lnums, Rnums) in splits(numbers):\n", - " for (L, R) in itertools.product(expressions(Lnums), expressions(Rnums)):\n", - " Lexp, Rexp = '(' + EXPS[Lnums][L], EXPS[Rnums][R] + ')'\n", - " expr2(numbers, L, truediv, R, Lexp + '/' + Rexp)\n", - " expr2(numbers, L, mul, R, Lexp + '*' + Rexp)\n", - " expr2(numbers, L, add, R, Lexp + '+' + Rexp)\n", - " expr2(numbers, L, sub, R, Lexp + '-' + Rexp)\n", - " if 1 <= R <= 10 and (L > 0 or int(R) == R):\n", - " expr2(numbers, L, pow, R, Lexp + '^' + Rexp)\n", - " \n", - "def unary_expressions(numbers):\n", - " \"Fill tables for -v, √v and v!\"\n", - " for v in tuple(EXPS[numbers]):\n", - " exp = EXPS[numbers][v]\n", - " expr(numbers, -v, '-(' + exp + ')')\n", - " if v > 0: \n", - " expr(numbers, sqrt(v), '√' + exp)\n", - " if 3 <= v <= 6 and v == int(v):\n", - " expr(numbers, factorial(v), exp + '!')" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "button": false, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "source": [ - "Now that we have more variety in the types of expressions formed, I want to choose a \"good\" expression to represent each value. I'll modify `expr` so that when there are multiple expressions for a value, it chooses the one with the least \"weight,\" where I define the `weight` of a string as the sum of the weights of the characters, where the square root sign is the heaviest, and other characters are as listed." - ] - }, - { - "cell_type": "code", - "execution_count": 69, - "metadata": { - "button": false, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "outputs": [], - "source": [ - "def expr(numbers, value, exp): \n", - " \"Fill EXPS[numbers][val] with exp, unless we already have a lighter exp.\"\n", - " if value not in EXPS[numbers] or weight(exp) <= weight(EXPS[numbers][value]):\n", - " EXPS[numbers][value] = exp\n", - " \n", - "WEIGHTS = {'√':3, '.':2, '^':1.3, '/':1.2, '-':1.1}\n", - " \n", - "def weight(exp, weights=WEIGHTS): \n", - " return sum(weights.get(c, 1) for c in exp)" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "button": false, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "source": [ - "We'll try again:" - ] - }, - { - "cell_type": "code", - "execution_count": 70, - "metadata": { - "button": false, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "CPU times: user 6min 4s, sys: 2.81 s, total: 6min 7s\n", - "Wall time: 6min 7s\n" - ] - }, - { - "data": { - "text/plain": [ - "{0: '((55-55)*5)',\n", - " 1: '((55/55)^5)',\n", - " 2: '(55/(55*.5))',\n", - " 3: '√(5!-(555/5))',\n", - " 4: '(5-(55/55))',\n", - " 5: '((55-55)+5)',\n", - " 6: '((55/55)+5)',\n", - " 7: '(((55+5)/5)-5)',\n", - " 8: '(((5!-55)/5)-5)',\n", - " 9: '(5!-(555/5))',\n", - " 10: '(5!-(55+55))',\n", - " 11: '((.55*5!)-55)',\n", - " 12: '((5.5/55)*5!)',\n", - " 13: '(((55+5)+5)/5)',\n", - " 14: '((5*5)-(55/5))',\n", - " 15: '((55/5.5)+5)',\n", - " 16: '((55+(5*5))/5)',\n", - " 17: '(((55+5)/5)+5)',\n", - " 18: '(((5!-55)/5)+5)',\n", - " 19: '((5*5)-((5/5)+5))',\n", - " 20: '(55/(.55*5))',\n", - " 21: '(((55/5)+5)+5)',\n", - " 22: '((55+55)/5)',\n", - " 23: '(((55/.5)+5)/5)',\n", - " 24: '(5-(55/55))!',\n", - " 25: '(55-((5*5)+5))',\n", - " 26: '(55-((5!/5)+5))',\n", - " 27: '((55/(5*.5))+5)',\n", - " 28: '((55+(5/5))*.5)',\n", - " 29: '(((5*5)-(5/5))+5)',\n", - " 30: '(((55/5)-5)*5)',\n", - " 31: '(((55*5)-5!)/5)',\n", - " 32: '(((5-5!)/5)+55)',\n", - " 33: '((55+5)*.55)',\n", - " 34: '(((55+5!)-5)/5)',\n", - " 35: '((55-(5*5))+5)',\n", - " 36: '((55/5)+(5*5))',\n", - " 37: '(((5!-55)+5!)/5)',\n", - " 38: '(((.55*.5)*5!)+5)',\n", - " 39: '((((5!/5)+5)+5)+5)',\n", - " 40: '(55-((5+5)+5))',\n", - " 41: '(5!-(55+(5!/5)))',\n", - " 42: '((.55*5!)-(5!/5))',\n", - " 43: '(55-(5!/(5+5)))',\n", - " 44: '(55-(55/5))',\n", - " 45: '((5!*5)-555)',\n", - " 46: '(((55/.5)+5!)/5)',\n", - " 47: '(((5!-5)/5)+(5!/5))',\n", - " 48: '(5!/((5.5-5)*5))',\n", - " 49: '(55-((5/5)+5))',\n", - " 50: '(55.5-5.5)',\n", - " 51: '((55+(5/5))-5)',\n", - " 52: '(((5.5+5)*5)-.5)',\n", - " 53: '(55-((5+5)/5))',\n", - " 54: '(((55*5)-5)/5)',\n", - " 55: '((55+55)*.5)',\n", - " 56: '(((55*5)+5)/5)',\n", - " 57: '(((5+5)/5)+55)',\n", - " 58: '(55.5+(5*.5))',\n", - " 59: '((55-(5/5))+5)',\n", - " 60: '(√(55*55)+5)',\n", - " 61: '(55.5+5.5)',\n", - " 62: '((55-(5!/5))/.5)',\n", - " 63: '(((5!-5)*.5)+5.5)',\n", - " 64: '(5!-(55+(5/5)))',\n", - " 65: '((5-(55+5))+5!)',\n", - " 66: '((55/5)+55)',\n", - " 67: '((5!/(5+5))+55)',\n", - " 68: '(((5!+5)*.5)+5.5)',\n", - " 69: '((5!-5)*((.5/5)+.5))',\n", - " 70: '(((55+5)+5)+5)',\n", - " 71: '((55/5)+(5!*.5))',\n", - " 72: '(((5/5)+5)!/(5+5))',\n", - " 73: '(((5!+5!)/5)+(5*5))',\n", - " 74: '((55+(5!/5))-5)',\n", - " 75: '((55+(5*5))-5)',\n", - " 76: '(((.55*5!)+5)+5)',\n", - " 77: '((((5!+5!)+5!)/5)+5)',\n", - " 78: '(((5!-5)/5)+55)',\n", - " 79: '(((55*5)+5!)/5)',\n", - " 80: '(((55/5)+5)*5)',\n", - " 81: '(((5!/√(5-.5))+√.5)/√.5)',\n", - " 82: '(((5-(5!/5))/.5)+5!)',\n", - " 83: '(((5!-5)/5)+(5!*.5))',\n", - " 84: '((55+(5!/5))+5)',\n", - " 85: '((55+(5*5))+5)',\n", - " 86: '((55/.5)-(5!/5))',\n", - " 87: '((555-5!)/5)',\n", - " 88: '((.55/(.5^5))*5)',\n", - " 89: '(((5!/5)-55)+5!)',\n", - " 90: '(((5*5)-55)+5!)',\n", - " 91: '((.55*5!)+(5*5))',\n", - " 92: '(5!-((55*.5)+.5))',\n", - " 93: '((.5-(55*.5))+5!)',\n", - " 94: '(5!-((5/5)+(5*5)))',\n", - " 95: '(((55-5)/.5)-5)',\n", - " 96: '(((5/5)+5!)-(5*5))',\n", - " 97: '((((5!*5)+5)-5!)/5)',\n", - " 98: '(5!-(55/(5*.5)))',\n", - " 99: '((55-5.5)/.5)',\n", - " 100: '((55/.5)-(5+5))',\n", - " 101: '((55.5-5)/.5)',\n", - " 102: '((((5-5!)/5)+5)+5!)',\n", - " 103: '(((5!+5!)/5)+55)',\n", - " 104: '(5!-((55/5)+5))',\n", - " 105: '((55+55)-5)',\n", - " 106: '((555/5)-5)',\n", - " 107: '(((55-5!)/5)+5!)',\n", - " 108: '(5!-((55+5)/5))',\n", - " 109: '(((5!*5)-55)/5)',\n", - " 110: '((555-5)/5)',\n", - " 111: '(555/√(5*5))',\n", - " 112: '((555+5)/5)',\n", - " 113: '(5!-(((5+5)/5)+5))',\n", - " 114: '((5-(55/5))+5!)',\n", - " 115: '((55+55)+5)',\n", - " 116: '((555/5)+5)',\n", - " 117: '((((5+5)/5)-5)+5!)',\n", - " 118: '(5!-(5!/(55+5)))',\n", - " 119: '(5!-(55/55))',\n", - " 120: '((55-55)+5)!',\n", - " 121: '((55/55)+5!)',\n", - " 122: '((5!/(55+5))+5!)',\n", - " 123: '((((5+5)+5)/5)+5!)',\n", - " 124: '(((5*5)*5)-(5/5))',\n", - " 125: '(((55-5)*5)*.5)',\n", - " 126: '(((55/5)+5!)-5)',\n", - " 127: '(((5.5/5)*5!)-5)',\n", - " 128: '(((5*.5)+5.5)+5!)',\n", - " 129: '((5!-55.5)/.5)',\n", - " 130: '((55/5.5)+5!)',\n", - " 131: '(((5!*5)+55)/5)',\n", - " 132: '(((55+5)/5)+5!)',\n", - " 133: '(((5!-55)/5)+5!)',\n", - " 134: '((55/.5)+(5!/5))',\n", - " 135: '((555+5!)/5)',\n", - " 136: '(((55/5)+5!)+5)',\n", - " 137: '(((5.5/5)*5!)+5)',\n", - " 138: '(((55*5)*.5)+.5)',\n", - " 139: '((((5/5)+5)!/5)-5)',\n", - " 140: '(((55*5)+5)*.5)',\n", - " 141: '(((5.5+5)/.5)+5!)',\n", - " 142: '((55/(5*.5))+5!)',\n", - " 143: '((((5/5)+5)!-5)/5)',\n", - " 144: '(((55/5)-5)!/5)',\n", - " 145: '((((5*5)+5)*5)-5)',\n", - " 146: '(((5/5)+(5*5))+5!)',\n", - " 147: '(((55*.5)+5!)-.5)',\n", - " 148: '(((55*.5)+5!)+.5)',\n", - " 149: '(((5*5)*5)+(5!/5))',\n", - " 150: '((55-(5*5))*5)',\n", - " 151: '((55-(5!/5))+5!)',\n", - " 152: '((((5+5)/5)^5)+5!)',\n", - " 153: '(((.55*.5)*5!)+5!)',\n", - " 154: '((((5!/5)+5!)+5)+5)',\n", - " 155: '((55-(5!/5))*5)',\n", - " 156: '(((5.5*5!)+5!)/5)'}" - ] - }, - "execution_count": 70, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "clear()\n", - "\n", - "%time makeable(five5s)" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "button": false, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "source": [ - "Wow! We almost tripled the 55 goal! (Although the increased number of expressions means it took 6 minutes.)\n", - "\n", - "I have to say, I would never have come up with the solution for 81 on my own. It works because (√(5 - .5) \\* √.5) = √(4.5 \\* 0.5) = √(9/4) = 3/2." - ] - }, - { - "cell_type": "markdown", - "metadata": { - "button": false, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "source": [ - "# Even More Operations \n", - "\n", - "At the risk of making the computation take even longer, I'm going to add two more unary operations:\n", - "\n", - "- **Floor**: ⌊*x*⌋ is the largest integer less than or equal to *x* (in other words, rounding down).\n", - "- **Ceiling**: ⌈*x*⌉ is the smallest integer greater than or equal to *x* (in other words, rounding up).\n", - "\n", - "These operations are useful because they produce integers, and our targets are the integers (from 0 up to whatever). \n", - "\n", - "In addition, I'll allow two consecutive applications of unary operators, thus allowing expressions such as\n", - "\n", - "- ⌊√5⌋ = 2\n", - "- ⌈5.5⌉! = 720\n", - "\n", - "But still not allowing three consecutive applications, such as\n", - "\n", - "- ⌈√5⌉! = 6\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 72, - "metadata": { - "button": false, - "collapsed": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "outputs": [], - "source": [ - "from math import floor, ceil\n", - "\n", - "floor_ceil_allowed = True # Should we allow floor and ceil?\n", - "\n", - "def unary_expressions(numbers):\n", - " \"Fill tables for -v, √v and v!, ⌊x⌋, and ⌈x⌉\"\n", - " for i in range(2):\n", - " for v in tuple(EXPS[numbers]):\n", - " exp = EXPS[numbers][v]\n", - " expr(numbers, -v, '-(' + exp + ')')\n", - " if 0 < v <= 100 and 4*v == round(4*v):\n", - " # Be stingier in allowing √ operator\n", - " expr(numbers, sqrt(v), '√' + exp)\n", - " if 3 <= v <= 6 and v == int(v):\n", - " expr(numbers, factorial(v), exp + '!')\n", - " if floor_ceil_allowed and v != int(v):\n", - " uexp = unbracket(exp)\n", - " expr(numbers, floor(v), '⌊' + uexp + '⌋')\n", - " expr(numbers, ceil(v), '⌈' + uexp + '⌉')\n", - " \n", - "def unbracket(exp):\n", - " \"Remove outer brackets from exp if they are there.\"\n", - " if exp.startswith('(') and exp.endswith(')'):\n", - " return exp[1:-1]\n", - " else:\n", - " return exp" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "button": false, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "source": [ - "Let's try (warning—it will take 20 or 30 minutes to run):" - ] - }, - { - "cell_type": "code", - "execution_count": 73, - "metadata": { - "button": false, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "CPU times: user 24min 17s, sys: 3.22 s, total: 24min 21s\n", - "Wall time: 24min 23s\n" - ] - }, - { - "data": { - "text/plain": [ - "{0: '⌊55/555⌋',\n", - " 1: '⌈55/555⌉',\n", - " 2: '⌊.5555*5⌋',\n", - " 3: '⌈.5555*5⌉',\n", - " 4: '⌊5-.5555⌋',\n", - " 5: '⌊5.5555⌋',\n", - " 6: '⌈5.5555⌉',\n", - " 7: '⌈5.55+.55⌉',\n", - " 8: '⌈5.555+√5⌉',\n", - " 9: '⌊55/5.55⌋',\n", - " 10: '⌊555/55⌋',\n", - " 11: '⌈555/55⌉',\n", - " 12: '⌈55.55/5⌉',\n", - " 13: '⌊(.555*5)*5⌋',\n", - " 14: '⌈(.555*5)*5⌉',\n", - " 15: '⌊(5.55+5)+5⌋',\n", - " 16: '⌈(5.55+5)+5⌉',\n", - " 17: '⌈(55.5/5)+5⌉',\n", - " 18: '⌊55/⌈5!/55⌉⌋',\n", - " 19: '⌈55/⌈5!/55⌉⌉',\n", - " 20: '(⌊555/5!⌋*5)',\n", - " 21: '⌊5!/5.555⌋',\n", - " 22: '⌈5!/5.555⌉',\n", - " 23: '⌈555/(5*5)⌉',\n", - " 24: '⌊5-.5555⌋!',\n", - " 25: '(⌊5.555⌋*5)',\n", - " 26: '⌈(55*55)/5!⌉',\n", - " 27: '⌊5.555*5⌋',\n", - " 28: '⌈5.555*5⌉',\n", - " 29: '(⌊555/5!⌋!+5)',\n", - " 30: '⌊.555*55⌋',\n", - " 31: '⌈.555*55⌉',\n", - " 32: '⌊(5.55*5)+5⌋',\n", - " 33: '⌈(5.55*5)+5⌉',\n", - " 34: '⌈5.55*⌈5.5⌉⌉',\n", - " 35: '⌊(55*.55)+5⌋',\n", - " 36: '⌈(55*.55)+5⌉',\n", - " 37: '⌊(55/√55)*5⌋',\n", - " 38: '⌈(55/√55)*5⌉',\n", - " 39: '⌊55.55*√.5⌋',\n", - " 40: '(55-((5+5)+5))',\n", - " 41: '⌊5.55*√55⌋',\n", - " 42: '⌈5.55*√55⌉',\n", - " 43: '⌈55-(√55+5)⌉',\n", - " 44: '(55-(55/5))',\n", - " 45: '((5!*5)-555)',\n", - " 46: '⌊5555/5!⌋',\n", - " 47: '⌈5555/5!⌉',\n", - " 48: '⌊55.5-√55⌋',\n", - " 49: '⌊55-5.55⌋',\n", - " 50: '⌈55-5.55⌉',\n", - " 51: '⌈55.55-5⌉',\n", - " 52: '⌊55-(5!/55)⌋',\n", - " 53: '⌈55-(5!/55)⌉',\n", - " 54: '⌊55-.555⌋',\n", - " 55: '⌊55.555⌋',\n", - " 56: '⌈55.555⌉',\n", - " 57: '⌈55.55+.5⌉',\n", - " 58: '⌈(5!/55)+55⌉',\n", - " 59: '⌊(55-.55)+5⌋',\n", - " 60: '⌊55.55+5⌋',\n", - " 61: '⌈55.55+5⌉',\n", - " 62: '⌊√55.5+55⌋',\n", - " 63: '⌈√55.5+55⌉',\n", - " 64: '⌊5!-55.55⌋',\n", - " 65: '⌈5!-55.55⌉',\n", - " 66: '⌊.5555*5!⌋',\n", - " 67: '⌈.5555*5!⌉',\n", - " 68: '⌈(√55+55)+5⌉',\n", - " 69: '⌊555/⌈√55⌉⌋',\n", - " 70: '⌈555/⌈√55⌉⌉',\n", - " 71: '⌊(.555*5!)+5⌋',\n", - " 72: '⌈(.555*5!)+5⌉',\n", - " 73: '⌊(5!/55)^5.5⌋',\n", - " 74: '⌊555/√55⌋',\n", - " 75: '⌈555/√55⌉',\n", - " 76: '⌊555/(5+√5)⌋',\n", - " 77: '⌈555/(5+√5)⌉',\n", - " 78: '⌈√⌊5!/55⌋*55⌉',\n", - " 79: '⌊555/⌊√55⌋⌋',\n", - " 80: '⌊55.5+(5*5)⌋',\n", - " 81: '⌈55.5+(5*5)⌉',\n", - " 82: '⌊(55*.5)+55⌋',\n", - " 83: '⌈(55*.5)+55⌉',\n", - " 84: '((55+(5!/5))+5)',\n", - " 85: '((55+(5*5))+5)',\n", - " 86: '⌊5!-(5^(5!/55))⌋',\n", - " 87: '((555-5!)/5)',\n", - " 88: '⌈√5^5.555⌉',\n", - " 89: '⌊5!-(55*.55)⌋',\n", - " 90: '⌊(55-5)/.55⌋',\n", - " 91: '⌈(55-5)/.55⌉',\n", - " 92: '⌊555/⌈5.5⌉⌋',\n", - " 93: '⌈555/⌈5.5⌉⌉',\n", - " 94: '⌊(55/.55)-5⌋',\n", - " 95: '⌈(55/.55)-5⌉',\n", - " 96: '⌊(55+5!)*.55⌋',\n", - " 97: '⌈(55+5!)*.55⌉',\n", - " 98: '⌊⌊55-.5⌋/.55⌋',\n", - " 99: '⌊55/.555⌋',\n", - " 100: '⌈55/.555⌉',\n", - " 101: '⌈555/5.5⌉',\n", - " 102: '⌈⌈55.5⌉/.55⌉',\n", - " 103: '⌈⌈55/.55⌉+√5⌉',\n", - " 104: '⌊(55/.55)+5⌋',\n", - " 105: '((55+55)-5)',\n", - " 106: '((555/5)-5)',\n", - " 107: '⌊(55+55)-√5⌋',\n", - " 108: '⌈(55+55)-√5⌉',\n", - " 109: '⌊(55+55)-.5⌋',\n", - " 110: '⌊55.5+55⌋',\n", - " 111: '⌈55.5+55⌉',\n", - " 112: '⌈555.5/5⌉',\n", - " 113: '⌈(55+55)+√5⌉',\n", - " 114: '⌊5!-5.555⌋',\n", - " 115: '((55+55)+5)',\n", - " 116: '((555/5)+5)',\n", - " 117: '⌊5!-(.555*5)⌋',\n", - " 118: '⌈5!-(.555*5)⌉',\n", - " 119: '⌊5!-.5555⌋',\n", - " 120: '⌊5.5555⌋!',\n", - " 121: '⌈.5555+5!⌉',\n", - " 122: '⌊(.555*5)+5!⌋',\n", - " 123: '⌊555/(5-.5)⌋',\n", - " 124: '⌊55.55*√5⌋',\n", - " 125: '⌊5.555+5!⌋',\n", - " 126: '⌈5.555+5!⌉',\n", - " 127: '⌊⌈5^5.5⌉/55⌋',\n", - " 128: '⌈⌈5^5.5⌉/55⌉',\n", - " 129: '⌊(5/.555)+5!⌋',\n", - " 130: '⌊(5.55+5)+5!⌋',\n", - " 131: '⌈(5.55+5)+5!⌉',\n", - " 132: '⌊(√55-5)*55⌋',\n", - " 133: '⌈(√55-5)*55⌉',\n", - " 134: '⌈(5.55/5)*5!⌉',\n", - " 135: '((555+5!)/5)',\n", - " 136: '(((55/5)+5!)+5)',\n", - " 137: '⌈⌈55.5+5⌉*√5⌉',\n", - " 138: '⌊(5.55*5)*5⌋',\n", - " 139: '⌈(5.55*5)*5⌉',\n", - " 140: '(⌈5.55*5⌉*5)',\n", - " 141: '⌊⌊55^√5⌋/55⌋',\n", - " 142: '⌈⌊55^√5⌋/55⌉',\n", - " 143: '⌈((55*5)*.5)+5⌉',\n", - " 144: '(⌈5.555⌉!/5)',\n", - " 145: '((⌊5.55⌋*5)+5!)',\n", - " 146: '⌊(5-√5.5)*55⌋',\n", - " 147: '⌊(5.55*5)+5!⌋',\n", - " 148: '⌈(5.55*5)+5!⌉',\n", - " 149: '⌈⌊55*.5⌋*5.5⌉',\n", - " 150: '(⌊55*.55⌋*5)',\n", - " 151: '⌊(55*.55)*5⌋',\n", - " 152: '⌈(55*.55)*5⌉',\n", - " 153: '⌊(.55+√5)*55⌋',\n", - " 154: '(⌈55*.5⌉*5.5)',\n", - " 155: '(⌈55*.55⌉*5)',\n", - " 156: '⌈(55+55)/√.5⌉',\n", - " 157: '⌊(555*.5)-5!⌋',\n", - " 158: '⌈(555*.5)-5!⌉',\n", - " 159: '⌈(55-5)*√(5+5)⌉',\n", - " 160: '(((55*5)-5!)+5)',\n", - " 161: '⌊(5*.5)^5.55⌋',\n", - " 162: '⌈(5*.5)^5.55⌉',\n", - " 163: '⌊(5!/.55)-55⌋',\n", - " 164: '⌊(.555*5)^5⌋',\n", - " 165: '(⌈5!/55⌉*55)',\n", - " 166: '⌊5.5^⌈5!/55⌉⌋',\n", - " 167: '⌈5.5^⌈5!/55⌉⌉',\n", - " 168: '⌈(55-√55)+5!⌉',\n", - " 169: '⌊(55-5.5)+5!⌋',\n", - " 170: '⌈(55-5.5)+5!⌉',\n", - " 171: '⌈(55.5+5!)-5⌉',\n", - " 172: '⌈5.555^⌈√5⌉⌉',\n", - " 173: '⌊√⌊5.5+5⌋*55⌋',\n", - " 174: '⌊(55-.55)+5!⌋',\n", - " 175: '⌊55.55+5!⌋',\n", - " 176: '⌈55.55+5!⌉',\n", - " 177: '⌊(55*√5)+55⌋',\n", - " 178: '⌈(55*√5)+55⌉',\n", - " 179: '⌈√(5.5+5)*55⌉',\n", - " 180: '⌊(55.5+5)+5!⌋',\n", - " 181: '⌈(55.5+5)+5!⌉',\n", - " 182: '⌊(55*5.5)-5!⌋',\n", - " 183: '⌈(55*5.5)-5!⌉',\n", - " 184: '⌊(5!-55.5)+5!⌋',\n", - " 185: '(555/⌈5*.5⌉)',\n", - " 186: '⌊(.555*5!)+5!⌋',\n", - " 187: '⌈(.555*5!)+5!⌉',\n", - " 188: '((⌈5*.5⌉^5)-55)',\n", - " 189: '⌊(55+5)*√(5+5)⌋',\n", - " 190: '(⌈√55.5*5⌉*5)',\n", - " 191: '⌈√⌊√55+5⌋*55⌉',\n", - " 192: '⌈⌈√55.5^5⌉/5!⌉',\n", - " 193: '⌊5!^(.55+.55)⌋',\n", - " 194: '⌊(555-5!)/√5⌋',\n", - " 195: '⌈(555-5!)/√5⌉',\n", - " 196: '⌊555/√⌈5+√5⌉⌋',\n", - " 197: '⌊((55*5)+5!)*.5⌋',\n", - " 198: '(⌊55/.55⌋/.5)',\n", - " 199: '⌊55/(.55*.5)⌋',\n", - " 200: '⌊555/(5-√5)⌋',\n", - " 201: '⌈555/(5-√5)⌉',\n", - " 202: '⌊555/(√5+.5)⌋',\n", - " 203: '⌊5!^(5.55/5)⌋',\n", - " 204: '⌈5!^(5.55/5)⌉',\n", - " 205: '(⌈√55*5.5⌉*5)',\n", - " 206: '⌈5.55*⌈5^√5⌉⌉',\n", - " 207: '⌊(5!-5)/.555⌋',\n", - " 208: '⌈(5!-5)/.555⌉',\n", - " 209: '(⌈√55*5⌉*5.5)',\n", - " 210: '((55*⌈5.5⌉)-5!)',\n", - " 211: '⌊(5!/.555)-5⌋',\n", - " 212: '⌈(5!/.555)-5⌉',\n", - " 213: '⌈(5!/.55)-5.5⌉',\n", - " 214: '⌊⌊5!-.5⌋/.555⌋',\n", - " 215: '((55*⌊5-.5⌋)-5)',\n", - " 216: '⌊5!/.5555⌋',\n", - " 217: '⌈5!/.5555⌉',\n", - " 218: '⌈(555-5!)*.5⌉',\n", - " 219: '(⌊55/.55⌋+5!)',\n", - " 220: '((55*5)-55)',\n", - " 221: '⌊(5!/.555)+5⌋',\n", - " 222: '(555/(5*.5))',\n", - " 223: '⌊⌈55*√5⌉/.55⌋',\n", - " 224: '⌈⌈55*√5⌉/.55⌉',\n", - " 225: '((55-(5+5))*5)',\n", - " 226: '⌈(5!+5)/.555⌉',\n", - " 227: '⌈555/√⌈5.5⌉⌉',\n", - " 228: '⌊(5.5+5!)/.55⌋',\n", - " 229: '⌊⌈5.5+5!⌉/.55⌋',\n", - " 230: '((55+55)+5!)',\n", - " 231: '((555/5)+5!)',\n", - " 232: '⌈(√55+5!)/.55⌉',\n", - " 233: '⌈⌈√55+5!⌉/.55⌉',\n", - " 234: '⌊(5!-5.55)+5!⌋',\n", - " 235: '(⌊55-√55⌋*5)',\n", - " 236: '⌊555/√5.5⌋',\n", - " 237: '⌈555/√5.5⌉',\n", - " 238: '⌈(55-√55)*5⌉',\n", - " 239: '⌊(5!-.555)+5!⌋',\n", - " 240: '(⌊5.555⌋!+5!)',\n", - " 241: '⌈(.555+5!)+5!⌉',\n", - " 242: '⌈(.555+5!)/.5⌉',\n", - " 243: '(⌈.555*5⌉^5)',\n", - " 244: '⌊(5-.55)*55⌋',\n", - " 245: '⌈(5-.55)*55⌉',\n", - " 246: '⌈(55+55)*√5⌉',\n", - " 247: '⌊(55-5.5)*5⌋',\n", - " 248: '⌈(55-5.5)*5⌉',\n", - " 249: '⌈555.5/√5⌉',\n", - " 250: '(⌈55-5.5⌉*5)',\n", - " 251: '⌈(555+5)/√5⌉',\n", - " 252: '⌊(55.5-5)*5⌋',\n", - " 253: '⌈(55.5-5)*5⌉',\n", - " 254: '⌈(555/√5)+5⌉',\n", - " 255: '(⌈55.5-5⌉*5)',\n", - " 256: '⌊((5!/55)*5!)-5⌋',\n", - " 257: '⌈((5!/55)*5!)-5⌉',\n", - " 258: '⌊⌈55.5/5⌉^√5⌋',\n", - " 259: '⌊(5!/55.5)*5!⌋',\n", - " 260: '⌈(5!/55.5)*5!⌉',\n", - " 261: '⌈(.55*5)^5.5⌉',\n", - " 262: '⌊((5.5+5)*5)*5⌋',\n", - " 263: '⌈((5.5+5)*5)*5⌉',\n", - " 264: '((55/(5*5))*5!)',\n", - " 265: '((55*5)-(5+5))',\n", - " 266: '⌊(55.5-√5)*5⌋',\n", - " 267: '⌊(55*5)-√55⌋',\n", - " 268: '⌈(55*5)-√55⌉',\n", - " 269: '⌊(55*5)-5.5⌋',\n", - " 270: '⌈(55*5)-5.5⌉',\n", - " 271: '⌈((55*5)+.5)-5⌉',\n", - " 272: '⌊(555*.5)-5⌋',\n", - " 273: '⌈(555*.5)-5⌉',\n", - " 274: '⌊(55*5)-.55⌋',\n", - " 275: '(⌊55.55⌋*5)',\n", - " 276: '⌈(55*5)+.55⌉',\n", - " 277: '⌊55.55*5⌋',\n", - " 278: '⌈55.55*5⌉',\n", - " 279: '⌈⌈555*.5⌉+.5⌉',\n", - " 280: '(⌈55.55⌉*5)',\n", - " 281: '⌈(55*5)+5.5⌉',\n", - " 282: '⌊(555*.5)+5⌋',\n", - " 283: '⌈(555*.5)+5⌉',\n", - " 284: '⌊((5^5)*5)/55⌋',\n", - " 285: '(((55*5)+5)+5)',\n", - " 286: '⌊555-(5!*√5)⌋',\n", - " 287: '⌊(√55*55)-5!⌋',\n", - " 288: '⌈(√55*55)-5!⌉',\n", - " 289: '⌊55^√⌊5!/55⌋⌋',\n", - " 290: '⌈55^√⌊5!/55⌋⌉',\n", - " 291: '⌊√⌈55*.5⌉*55⌋',\n", - " 292: '⌈√⌈55*.5⌉*55⌉',\n", - " 293: '⌊√⌈5.555⌉*5!⌋',\n", - " 294: '⌈√⌈5.555⌉*5!⌉',\n", - " 295: '(((55+5)*5)-5)',\n", - " 296: '⌈(55.5+5!)+5!⌉',\n", - " 297: '⌊(55*5.5)-5⌋',\n", - " 298: '⌈(55*5.5)-5⌉',\n", - " 299: '⌊(55-.5)*5.5⌋',\n", - " 300: '(⌊55.5+5⌋*5)',\n", - " 301: '⌊⌊55*5.5⌋-.5⌋',\n", - " 302: '⌊(55.5+5)*5⌋',\n", - " 303: '⌈(55.5+5)*5⌉',\n", - " 304: '⌈⌈55*5.5⌉+.5⌉',\n", - " 305: '⌊5.55*55⌋',\n", - " 306: '⌈5.55*55⌉',\n", - " 307: '⌊(55*5.5)+5⌋',\n", - " 308: '⌈(55*5.5)+5⌉',\n", - " 309: '⌊((5!-55)/5)^√5⌋',\n", - " 310: '(⌊√55+55⌋*5)',\n", - " 311: '⌈5.55*(√5^5)⌉',\n", - " 312: '⌊(√55+55)*5⌋',\n", - " 313: '⌈(√55+55)*5⌉',\n", - " 314: '⌊(55+√5)*5.5⌋',\n", - " 315: '(555-(5!+5!))',\n", - " 316: '⌊√⌊5.55+5⌋^5⌋',\n", - " 317: '⌈√⌊5.55+5⌋^5⌉',\n", - " 318: '⌊(55+5!)/.55⌋',\n", - " 319: '⌈(55+5!)/.55⌉',\n", - " 320: '(⌊5!-55.5⌋*5)',\n", - " 321: '⌈555/√⌈5*.5⌉⌉',\n", - " 322: '⌊(5!-55.5)*5⌋',\n", - " 323: '⌈(5!-55.5)*5⌉',\n", - " 324: '⌈55.5+(5!*√5)⌉',\n", - " 325: '(((55+5)+5)*5)',\n", - " 326: '⌈(5!/55)^√55⌉',\n", - " 327: '⌊(55+(5!*5))*.5⌋',\n", - " 328: '⌈(55+(5!*5))*.5⌉',\n", - " 329: '⌊(55*⌈5.5⌉)-.5⌋',\n", - " 330: '((55*5)+55)',\n", - " 331: '⌈(55+(5*√5))*5⌉',\n", - " 332: '⌊((5!*5)+5)*.55⌋',\n", - " 333: '⌊(.555*5)*5!⌋',\n", - " 334: '⌈(.555*5)*5!⌉',\n", - " 335: '(⌈.555*5!⌉*5)',\n", - " 336: '⌊(5!/.555)+5!⌋',\n", - " 337: '⌊(555+5!)*.5⌋',\n", - " 338: '⌈(555+5!)*.5⌉',\n", - " 339: '⌈(5-(5!/55))*5!⌉',\n", - " 340: '⌈√⌈√55*5⌉*55⌉',\n", - " 341: '⌊(5.5+√.5)*55⌋',\n", - " 342: '⌈(5.5+√.5)*55⌉',\n", - " 343: '⌊((5^5)*.55)/5⌋',\n", - " 344: '⌈((5^5)*.55)/5⌉',\n", - " 345: '(⌈5!/55⌉*(5!-5))',\n", - " 346: '⌊((55*5)-5!)*√5⌋',\n", - " 347: '⌊(5^5)/⌊5/.55⌋⌋',\n", - " 348: '⌈(5^5)/⌊5/.55⌋⌉',\n", - " 349: '⌊((5-.55)^5)/5⌋',\n", - " 350: '(((5-55)+5!)*5)',\n", - " 351: '⌊555/√(5*.5)⌋',\n", - " 352: '⌈555/√(5*.5)⌉',\n", - " 353: '⌈(√55-⌈.5⌉)*55⌉',\n", - " 354: '⌊(⌈5/55⌉+√5)^5⌋',\n", - " 355: '((⌈5!/55⌉*5!)-5)',\n", - " 356: '⌈(55/5)^√⌈5.5⌉⌉',\n", - " 357: '⌊(5!-55)*5.5⌋',\n", - " 358: '⌈(5!-55)*5.5⌉',\n", - " 359: '⌈⌈5!/55⌉*(5!-.5)⌉',\n", - " 360: '(⌈.555*5⌉*5!)',\n", - " 361: '⌊(55-5)*(5+√5)⌋',\n", - " 362: '⌈(55-5)*(5+√5)⌉',\n", - " 363: '⌊(5.5*.55)*5!⌋',\n", - " 364: '⌈(5.5*.55)*5!⌉',\n", - " 365: '((⌈5!/55⌉*5!)+5)',\n", - " 366: '⌈(⌈√5⌉^5.5)-55⌉',\n", - " 367: '⌊(55*(5-.5))+5!⌋',\n", - " 368: '⌊(555/√5)+5!⌋',\n", - " 369: '⌈(555/√5)+5!⌉',\n", - " 370: '⌊(55-5)*√55⌋',\n", - " 371: '⌈(55-5)*√55⌉',\n", - " 372: '⌈(√(5+5)^5)+55⌉',\n", - " 373: '⌈(5-√⌈5!/55⌉)^5⌉',\n", - " 374: '⌈√⌈5.5^√5⌉*55⌉',\n", - " 375: '(⌈5!/55⌉*(5!+5))',\n", - " 376: '⌊(5.55+5!)*⌈√5⌉⌋',\n", - " 377: '⌈(5.55+5!)*⌈√5⌉⌉',\n", - " 378: '(⌊55-.5⌋*⌊√55⌋)',\n", - " 379: '⌊√⌊5.55+5⌋*5!⌋',\n", - " 380: '⌊(√55-.5)*55⌋',\n", - " 381: '⌊55^(√55/5)⌋',\n", - " 382: '⌈55^(√55/5)⌉',\n", - " 383: '⌊((55-√5)*5)+5!⌋',\n", - " 384: '⌈((55-√5)*5)+5!⌉',\n", - " 385: '(⌊√55.5⌋*55)',\n", - " 386: '⌈⌊55-√5⌋*√55⌉',\n", - " 387: '⌊(555*√.5)-5⌋',\n", - " 388: '⌊√(55-5)*55⌋',\n", - " 389: '⌈√(55-5)*55⌉',\n", - " 390: '(((55*5)+5!)-5)',\n", - " 391: '⌊⌊55.5+5!⌋*√5⌋',\n", - " 392: '⌊555.5*√.5⌋',\n", - " 393: '⌈555.5*√.5⌉',\n", - " 394: '⌈⌈555.5⌉*√.5⌉',\n", - " 395: '((55+(5!/5))*5)',\n", - " 396: '⌊⌈5.55⌉!*.55⌋',\n", - " 397: '⌊(555*.5)+5!⌋',\n", - " 398: '⌈(555*.5)+5!⌉',\n", - " 399: '⌊.555*⌈5.5⌉!⌋',\n", - " 400: '((55+(5*5))*5)',\n", - " 401: '⌊55.5*(5+√5)⌋',\n", - " 402: '⌊(√55*55)-5⌋',\n", - " 403: '⌈(√55*55)-5⌉',\n", - " 404: '⌈(√5.5+5)*55⌉',\n", - " 405: '⌈(55-.5)*√55⌉',\n", - " 406: '⌊√(55-.5)*55⌋',\n", - " 407: '⌊(√55^5)/55⌋',\n", - " 408: '⌈(√55^5)/55⌉',\n", - " 409: '⌊√55.5*55⌋',\n", - " 410: '⌈√55.5*55⌉',\n", - " 411: '⌊55.5*√55⌋',\n", - " 412: '⌈55.5*√55⌉',\n", - " 413: '⌈(√55*55)+5⌉',\n", - " 414: '⌊(5!-(√55*5))*5⌋',\n", - " 415: '⌊⌈55.5⌉*√55⌋',\n", - " 416: '⌈⌈55.5⌉*√55⌉',\n", - " 417: '⌊(5^(.55*5))*5⌋',\n", - " 418: '⌈(5^(.55*5))*5⌉',\n", - " 419: '⌊(5^5)/√55.5⌋',\n", - " 420: '⌊⌈5!/55⌉^5.5⌋',\n", - " 421: '⌈⌈5!/55⌉^5.5⌉',\n", - " 422: '⌊(55*5.5)+5!⌋',\n", - " 423: '⌈(55*5.5)+5!⌉',\n", - " 424: '⌊(55+√5)*√55⌋',\n", - " 425: '⌊(5.5+√5)*55⌋',\n", - " 426: '⌊√(55+5)*55⌋',\n", - " 427: '⌈√(55+5)*55⌉',\n", - " 428: '⌈((5-√5)+5)*55⌉',\n", - " 429: '⌈⌈55*5.5⌉/√.5⌉',\n", - " 430: '(555-(5!+5))',\n", - " 431: '⌈⌈55+√5⌉*√55⌉',\n", - " 432: '⌊555-(5!+√5)⌋',\n", - " 433: '⌈555-(5!+√5)⌉',\n", - " 434: '⌊555-(5!+.5)⌋',\n", - " 435: '⌊555.5-5!⌋',\n", - " 436: '⌈555.5-5!⌉',\n", - " 437: '⌊(555+√5)-5!⌋',\n", - " 438: '⌈(555+√5)-5!⌉',\n", - " 439: '⌊(55*⌈√55⌉)-.5⌋',\n", - " 440: '((555-5!)+5)',\n", - " 441: '⌊(5^5)/√(55-5)⌋',\n", - " 442: '⌈(5^5)/√(55-5)⌉',\n", - " 443: '⌊√(5!-55)*55⌋',\n", - " 444: '⌊(55+5)*√55⌋',\n", - " 445: '⌈(55+5)*√55⌉',\n", - " 446: '⌊√(.55*5!)*55⌋',\n", - " 447: '⌊⌈√5⌉^5.555⌋',\n", - " 448: '⌈⌈√5⌉^5.555⌉',\n", - " 449: '⌈(√(5+5)+5)*55⌉',\n", - " 450: '((55*⌈5.5⌉)+5!)',\n", - " 451: '⌊(⌈5.55⌉-√5)*5!⌋',\n", - " 452: '⌊(⌈5.5⌉+√5)*55⌋',\n", - " 453: '⌈(⌈5.5⌉+√5)*55⌉',\n", - " 454: '⌊(⌈5!/√55⌉/5)^5⌋',\n", - " 455: '((5!-55)*⌊√55⌋)',\n", - " 456: '⌊⌊√5^5.5⌋*5.5⌋',\n", - " 457: '⌊(55+(5^√5))*5⌋',\n", - " 458: '⌈(55+(5^√5))*5⌉',\n", - " 459: '⌊555/(√.5+.5)⌋',\n", - " 460: '(⌊5!-(55*.5)⌋*5)',\n", - " 461: '⌈√⌊√5.5^5⌋*55⌉',\n", - " 462: '⌊(5!-(55*.5))*5⌋',\n", - " 463: '⌈(5!-(55*.5))*5⌉',\n", - " 464: '(⌈55+√5⌉*⌈√55⌉)',\n", - " 465: '(⌈5!-(55*.5)⌉*5)',\n", - " 466: '⌊5.55*⌊5!*√.5⌋⌋',\n", - " 467: '⌊(⌈√55⌉+.5)*55⌋',\n", - " 468: '((5-(5.5/5))*5!)',\n", - " 469: '⌊((√.5*5)+5)*55⌋',\n", - " 470: '⌊555-(5!*√.5)⌋',\n", - " 471: '⌈555-(5!*√.5)⌉',\n", - " 472: '⌈5.55*⌈5!*√.5⌉⌉',\n", - " 473: '⌈(5!*5)-(√55+5!)⌉',\n", - " 474: '⌊(5!*5)-(5.5+5!)⌋',\n", - " 475: '((⌊5-.55⌋*5!)-5)',\n", - " 476: '⌊5!/((.55^5)*5)⌋',\n", - " 477: '⌊(555+5!)*√.5⌋',\n", - " 478: '⌈(555+5!)*√.5⌉',\n", - " 479: '⌊(5!*5)-(.55+5!)⌋',\n", - " 480: '(⌊555/5!⌋*5!)',\n", - " 481: '⌈(.55-5!)+(5!*5)⌉',\n", - " 482: '⌊(5!-55)*√55⌋',\n", - " 483: '⌈(5!-55)*√55⌉',\n", - " 484: '⌈(5!*√5)/.555⌉',\n", - " 485: '((⌊5-.55⌋*5!)+5)',\n", - " 486: '⌈⌈5!/.555⌉*√5⌉',\n", - " 487: '⌊((5!*5)-5!)+√55⌋',\n", - " 488: '⌊⌊√55*5!⌋*.55⌋',\n", - " 489: '⌊(√55*.55)*5!⌋',\n", - " 490: '⌈(√55*.55)*5!⌉',\n", - " 491: '⌈5!*(5-(5/5.5))⌉',\n", - " 492: '⌊((55/5)+5)^√5⌋',\n", - " 493: '⌈((55/5)+5)^√5⌉',\n", - " 494: '⌊((55*√5)*5)-5!⌋',\n", - " 495: '(⌊55/.55⌋*5)',\n", - " 496: '⌊555/(√5*.5)⌋',\n", - " 497: '⌈555/(√5*.5)⌉',\n", - " 498: '(⌈555/√5⌉/.5)',\n", - " 499: '⌊(55/.55)*5⌋',\n", - " 500: '(555-55)',\n", - " 501: '⌊555-(5!/√5)⌋',\n", - " 502: '⌈555-(5!/√5)⌉',\n", - " 503: '⌊⌈5.5^5⌉/(5+5)⌋',\n", - " 504: '⌈⌈5.5^5⌉/(5+5)⌉',\n", - " 505: '((55*⌊√55⌋)+5!)',\n", - " 506: '((((5^5)+5)/5)-5!)',\n", - " 507: '⌊((5.5+5!)*5)-5!⌋',\n", - " 508: '⌈((5.5+5!)*5)-5!⌉',\n", - " 509: '⌊(√55^5.5)/5!⌋',\n", - " 510: '⌈(√55^5.5)/5!⌉',\n", - " 511: '⌊(5-.55)*(5!-5)⌋',\n", - " 512: '⌊(555*√.5)+5!⌋',\n", - " 513: '⌈(555*√.5)+5!⌉',\n", - " 514: '⌈(5!/55)^⌈√55⌉⌉',\n", - " 515: '(((55*5)+5!)+5!)',\n", - " 516: '⌈⌊√5⌋^(5/.555)⌉',\n", - " 517: '⌊⌈(5/.55)^5⌉/5!⌋',\n", - " 518: '⌊555-(5^√5)⌋',\n", - " 519: '⌈555-(5^√5)⌉',\n", - " 520: '(((5!-5)*5)-55)',\n", - " 521: '⌈(5^5)/⌈5.55⌉⌉',\n", - " 522: '⌊((5+5)-.5)*55⌋',\n", - " 523: '⌈((5+5)-.5)*55⌉',\n", - " 524: '⌈((5!+5!)/55)*5!⌉',\n", - " 525: '(((55/.5)-5)*5)',\n", - " 526: '⌈(⌈5!/55⌉+.5)^5⌉',\n", - " 527: '⌊(√55*55)+5!⌋',\n", - " 528: '⌈(√55*55)+5!⌉',\n", - " 529: '(((5-.55)*5!)-5)',\n", - " 530: '(555-(5*5))',\n", - " 531: '(555-(5!/5))',\n", - " 532: '⌊5^(5-(5.5/5))⌋',\n", - " 533: '⌊(5-.555)*5!⌋',\n", - " 534: '⌈(5-.555)*5!⌉',\n", - " 535: '((55+(5!*5))-5!)',\n", - " 536: '⌊√(5!-(5*5))*55⌋',\n", - " 537: '⌊(5-(√55/5))^5⌋',\n", - " 538: '⌈(5-(√55/5))^5⌉',\n", - " 539: '(((5-.55)*5!)+5)',\n", - " 540: '((5!*5)-(55+5))',\n", - " 541: '⌊((5^5)/√55)+5!⌋',\n", - " 542: '⌊((5!-.5)*5)-55⌋',\n", - " 543: '⌊555-(5*√5)⌋',\n", - " 544: '⌈555-(5*√5)⌉',\n", - " 545: '(555-(5+5))',\n", - " 546: '((5.55*5!)-5!)',\n", - " 547: '⌊555-√55⌋',\n", - " 548: '⌈555-√55⌉',\n", - " 549: '⌊555-5.5⌋',\n", - " 550: '⌊555.5-5⌋',\n", - " 551: '⌈555.5-5⌉',\n", - " 552: '⌊555-√5.5⌋',\n", - " 553: '⌈555-√5.5⌉',\n", - " 554: '⌊555-.55⌋',\n", - " 555: '⌊555.55⌋',\n", - " 556: '⌈555.55⌉',\n", - " 557: '⌊555+√5.5⌋',\n", - " 558: '⌈555+√5.5⌉',\n", - " 559: '⌊(555+5)-.5⌋',\n", - " 560: '⌊555.5+5⌋',\n", - " 561: '⌈555.5+5⌉',\n", - " 562: '⌊555+√55⌋',\n", - " 563: '⌈555+√55⌉',\n", - " 564: '⌈(5^5)/5.55⌉',\n", - " 565: '((555+5)+5)',\n", - " 566: '⌊555+(5*√5)⌋',\n", - " 567: '⌈555+(5*√5)⌉',\n", - " 568: '⌈((5^5)-5)/5.5⌉',\n", - " 569: '⌊((5^5)+5)/5.5⌋',\n", - " 570: '(⌊5!-5.55⌋*5)',\n", - " 571: '⌈(⌊5!-5.5⌋*5)+.5⌉',\n", - " 572: '⌊(5!-5.55)*5⌋',\n", - " 573: '⌈(5!-5.55)*5⌉',\n", - " 574: '⌈((5^5)/5.5)+5⌉',\n", - " 575: '(⌈5!-5.55⌉*5)',\n", - " 576: '((5!/5)^⌊5!/55⌋)',\n", - " 577: '⌊(5.5+5)*55⌋',\n", - " 578: '⌈(5.5+5)*55⌉',\n", - " 579: '(555+(5!/5))',\n", - " 580: '(555+(5*5))',\n", - " 581: '⌈((5!-5)*5)+5.5⌉',\n", - " 582: '⌊((5!-5)*5)+√55⌋',\n", - " 583: '⌈((5!-5)*5)+√55⌉',\n", - " 584: '⌈(5!-√(55/5))*5⌉',\n", - " 585: '(⌊5!-(5!/55)⌋*5)',\n", - " 586: '⌊(5!-(.55*5))*5⌋',\n", - " 587: '(555+(⌊√5⌋^5))',\n", - " 588: '⌈(5!*5)-(√55+5)⌉',\n", - " 589: '⌊5!*(5-(5/55))⌋',\n", - " 590: '⌈5!*(5-(5/55))⌉',\n", - " 591: '⌊555+(5^√5)⌋',\n", - " 592: '⌈555+(5^√5)⌉',\n", - " 593: '⌈(5!*5)-√55.5⌉',\n", - " 594: '⌊(5!*5)-5.55⌋',\n", - " 595: '⌈(5!*5)-5.55⌉',\n", - " 596: '⌈√(5+5)^5.55⌉',\n", - " 597: '⌊(5!-.555)*5⌋',\n", - " 598: '⌈(5!-.555)*5⌉',\n", - " 599: '⌊(5!*5)-.555⌋',\n", - " 600: '(⌊5.555⌋!*5)',\n", - " 601: '⌈.555+(5!*5)⌉',\n", - " 602: '⌊(.555+5!)*5⌋',\n", - " 603: '⌈(.555+5!)*5⌉',\n", - " 604: '(⌊55*5.5⌋/.5)',\n", - " 605: '((55*55)/5)',\n", - " 606: '⌈5.55+(5!*5)⌉',\n", - " 607: '⌊√55.5+(5!*5)⌋',\n", - " 608: '⌊555+(5!/√5)⌋',\n", - " 609: '⌈555+(5!/√5)⌉',\n", - " 610: '(555+55)',\n", - " 611: '⌈555+(√5^5)⌉',\n", - " 612: '⌊(√55+(5!*5))+5⌋',\n", - " 613: '⌊((.55*5)+5!)*5⌋',\n", - " 614: '(((5^5)-55)/5)',\n", - " 615: '(555+(5!*.5))',\n", - " 616: '(⌊5!-√55⌋*5.5)',\n", - " 617: '⌊((5^5)/5)-√55⌋',\n", - " 618: '⌈((5^5)/5)-√55⌉',\n", - " 619: '⌊⌊555*.5⌋*√5⌋',\n", - " 620: '⌊(55.5*√5)*5⌋',\n", - " 621: '⌈(55.5*√5)*5⌉',\n", - " 622: '⌈⌈555*.5⌉*√5⌉',\n", - " 623: '⌊((5^5)-5.5)/5⌋',\n", - " 624: '⌊((5^5)-.55)/5⌋',\n", - " 625: '(5^⌊555/5!⌋)',\n", - " 626: '⌈((5^5)/5)+.55⌉',\n", - " 627: '⌊(5.55+5!)*5⌋',\n", - " 628: '⌈(5.55+5!)*5⌉',\n", - " 629: '⌊(5!-5.5)*5.5⌋',\n", - " 630: '(⌈5.55+5!⌉*5)',\n", - " 631: '⌈((5^5)/5)+5.5⌉',\n", - " 632: '⌊⌈5!-5.5⌉*5.5⌋',\n", - " 633: '⌈⌈5!-5.5⌉*5.5⌉',\n", - " 634: '⌊√⌈5.55*5⌉*5!⌋',\n", - " 635: '⌈√⌈5.55*5⌉*5!⌉',\n", - " 636: '((55+(5^5))/5)',\n", - " 637: '⌊(√55.5+5!)*5⌋',\n", - " 638: '⌊5.55*(5!-5)⌋',\n", - " 639: '⌈5.55*(5!-5)⌉',\n", - " 640: '(⌊55*√5.5⌋*5)',\n", - " 641: '⌈(√(5!-55)+5!)*5⌉',\n", - " 642: '⌊((√55+5!)*5)+5⌋',\n", - " 643: '⌈((√55+5!)*5)+5⌉',\n", - " 644: '⌊(55*√5.5)*5⌋',\n", - " 645: '⌈(55*√5.5)*5⌉',\n", - " 646: '⌈((5/.55)+5!)*5⌉',\n", - " 647: '⌊(5!-√5.5)*5.5⌋',\n", - " 648: '((⌊55*.5⌋/5)*5!)',\n", - " 649: '⌊5.55*⌊5!-√5⌋⌋',\n", - " 650: '((55+(5!*5))-5)',\n", - " 651: '⌊(((5^5)*5)*5)/5!⌋',\n", - " 652: '⌊((5.5+5!)+5)*5⌋',\n", - " 653: '⌈((5.5+5!)+5)*5⌉',\n", - " 654: '⌊⌊5!-.55⌋*5.5⌋',\n", - " 655: '⌊55.5+(5!*5)⌋',\n", - " 656: '⌈55.5+(5!*5)⌉',\n", - " 657: '⌈(5!-.55)*5.5⌉',\n", - " 658: '⌈√⌊55*.55⌋*5!⌉',\n", - " 659: '⌊(5.5*5!)-.55⌋',\n", - " 660: '(⌊√55+5⌋*55)',\n", - " 661: '((5.55*5!)-5)',\n", - " 662: '⌊((√55+5)+5!)*5⌋',\n", - " 663: '⌊(.55+5!)*5.5⌋',\n", - " 664: '⌊⌈5.5⌉!-55.5⌋',\n", - " 665: '(⌈5.55⌉!-55)',\n", - " 666: '⌊5.555*5!⌋',\n", - " 667: '⌈5.555*5!⌉',\n", - " 668: '⌊5.55*(5!+.5)⌋',\n", - " 669: '⌈5.55*(5!+.5)⌉',\n", - " 670: '((555+5!)-5)',\n", - " 671: '((5.55*5!)+5)',\n", - " 672: '⌊(555-√5)+5!⌋',\n", - " 673: '⌈(555-√5)+5!⌉',\n", - " 674: '⌊(555+5!)-.5⌋',\n", - " 675: '⌊555.5+5!⌋',\n", - " 676: '⌈555.5+5!⌉',\n", - " 677: '⌊(555+√5)+5!⌋',\n", - " 678: '⌈(555+√5)+5!⌉',\n", - " 679: '⌈⌊5.5^5⌋/√55⌉',\n", - " 680: '((555+5!)+5)',\n", - " 681: '⌈((5/√55)+5)*5!⌉',\n", - " 682: '⌊(√55+5)*55⌋',\n", - " 683: '⌈(√55+5)*55⌉',\n", - " 684: '(⌊5!-5.5⌋*⌈5.5⌉)',\n", - " 685: '(⌊(55*5)*.5⌋*5)',\n", - " 686: '⌊555*(√5-⌈.5⌉)⌋',\n", - " 687: '⌊((55*5)*5)*.5⌋',\n", - " 688: '⌈((55*5)*5)*.5⌉',\n", - " 689: '⌈((5^5)/5.5)+5!⌉',\n", - " 690: '⌊(5.5+5!)*5.5⌋',\n", - " 691: '⌈(5.5+5!)*5.5⌉',\n", - " 692: '⌊((5!+5)*5.5)+5⌋',\n", - " 693: '⌊5.55*(5!+5)⌋',\n", - " 694: '⌈5.55*(5!+5)⌉',\n", - " 695: '(⌈5.55⌉!-(5*5))',\n", - " 696: '(⌈5.55⌉!-(5!/5))',\n", - " 697: '⌈((√55*.5)^5)-5⌉',\n", - " 698: '⌊⌈5^5.5⌉/(5+5)⌋',\n", - " 699: '⌈⌈5^5.5⌉/(5+5)⌉',\n", - " 700: '((⌈55*.5⌉*5)*5)',\n", - " 701: '⌈(√55+5!)*5.5⌉',\n", - " 702: '⌊(5^5)/(5-.55)⌋',\n", - " 703: '⌈(5^5)/(5-.55)⌉',\n", - " 704: '(⌈√55+5!⌉*5.5)',\n", - " 705: '⌈(5^(5.5/5))*5!⌉',\n", - " 706: '⌊⌈5.55⌉*(5!-√5)⌋',\n", - " 707: '⌈⌈5.55⌉*(5!-√5)⌉',\n", - " 708: '⌊⌈5.55⌉!-(5*√5)⌋',\n", - " 709: '(⌈5.5⌉!-(55/5))',\n", - " 710: '(⌈5.55⌉!-(5+5))',\n", - " 711: '⌈⌈5.5⌉!-(5/.55)⌉',\n", - " 712: '⌊⌈5.55⌉!-√55⌋',\n", - " 713: '⌈⌈5.55⌉!-√55⌉',\n", - " 714: '⌊⌈5.5⌉!-5.55⌋',\n", - " 715: '(⌈5.555⌉!-5)',\n", - " 716: '⌊(5!-.55)*⌈5.5⌉⌋',\n", - " 717: '⌊⌈5.555⌉!-√5⌋',\n", - " 718: '⌈⌈5.555⌉!-√5⌉',\n", - " 719: '⌊⌈5.5⌉!-.555⌋',\n", - " 720: '⌈5.5555⌉!',\n", - " 721: '⌈⌈5.55⌉!+.55⌉',\n", - " 722: '⌊⌈5.555⌉!+√5⌋',\n", - " 723: '⌈⌈5.555⌉!+√5⌉',\n", - " 724: '⌈5^((5/.55)-5)⌉',\n", - " 725: '(⌈5.555⌉!+5)',\n", - " 726: '⌈5.55+⌈5.5⌉!⌉',\n", - " 727: '⌊⌈5.55⌉!+√55⌋',\n", - " 728: '⌈⌈5.55⌉!+√55⌉',\n", - " 729: '(⌈5!/55⌉^⌈5.5⌉)',\n", - " 730: '((⌈5.55⌉!+5)+5)',\n", - " 731: '((55/5)+⌈5.5⌉!)',\n", - " 732: '(((5.5/5)+5)*5!)',\n", - " 733: '⌈(√55+⌈5.5⌉!)+5⌉',\n", - " 734: '⌊((55*√5)*5)+5!⌋',\n", - " 735: '(⌊(55*.5)+5!⌋*5)',\n", - " 736: '⌊√5.5^√(55+5)⌋',\n", - " 737: '⌊((55*.5)+5!)*5⌋',\n", - " 738: '⌈((55*.5)+5!)*5⌉',\n", - " 739: '⌈⌈(5!*5)*√5⌉*.55⌉',\n", - " 740: '(⌈(55*.5)+5!⌉*5)',\n", - " 741: '⌊(5!/5.5)+⌈5.5⌉!⌋',\n", - " 742: '⌈(5!/5.5)+⌈5.5⌉!⌉',\n", - " 743: '⌊⌈5!^√5⌉/(55+5)⌋',\n", - " 744: '(⌈5.55⌉!+(5!/5))',\n", - " 745: '(⌈5.55⌉!+(5*5))',\n", - " 746: '((((5^5)+5)/5)+5!)',\n", - " 747: '⌊((5.5+5!)*5)+5!⌋',\n", - " 748: '⌈((5.5+5!)*5)+5!⌉',\n", - " 749: '⌈(√55^(5*.5))*5⌉',\n", - " 750: '(⌈5.55⌉*(5!+5))',\n", - " 751: '⌊(5/.55)^⌈5*.5⌉⌋',\n", - " 752: '⌊((5!-5)*5.5)+5!⌋',\n", - " 753: '((5.5+5!)*⌈5.5⌉)',\n", - " 754: '⌊(√⌈55*.5⌉*5!)+5!⌋',\n", - " 755: '(((55+5!)*5)-5!)',\n", - " 756: '⌈(55/5)^(5-√5)⌉',\n", - " 757: '⌈(55*.5)^⌊5*.5⌋⌉',\n", - " 758: '⌈(√55*5)+⌈5.5⌉!⌉',\n", - " 759: '⌈√⌊√55*5.5⌋*5!⌉',\n", - " 760: '⌊((5-√5)*55)*5⌋',\n", - " 761: '⌈((5-√5)*55)*5⌉',\n", - " 762: '(⌊√55+5!⌋*⌈5.5⌉)',\n", - " 763: '⌈(5!^(.55+.5))*5⌉',\n", - " 764: '⌊(√55+5!)*⌈5.5⌉⌋',\n", - " 765: '(⌈(5-√5)*55⌉*5)',\n", - " 766: '⌊((5*5)-5.5)^√5⌋',\n", - " 767: '⌈((5*5)-5.5)^√5⌉',\n", - " 768: '⌊√⌈5.55⌉^√55⌋',\n", - " 769: '⌊55^√(.55*5)⌋',\n", - " 770: '((55+⌈5.5⌉!)-5)',\n", - " 771: '⌈(5.55*5)^⌊√5⌋⌉',\n", - " 772: '⌊((5*.5)^5.5)*5⌋',\n", - " 773: '⌊(√55.5*5!)-5!⌋',\n", - " 774: '⌈(√55.5*5!)-5!⌉',\n", - " 775: '(⌈5.55⌉!+55)',\n", - " 776: '⌈55.5+⌈5.5⌉!⌉',\n", - " 777: '⌊(555-5)/√.5⌋',\n", - " 778: '⌈(555-5)/√.5⌉',\n", - " 779: '⌊(555/√.5)-5⌋',\n", - " 780: '((55+⌈5.5⌉!)+5)',\n", - " 781: '⌊(5^5)/⌊5-.55⌋⌋',\n", - " 782: '⌈(5^5)/⌊5-.55⌋⌉',\n", - " 783: '⌊⌊555-.5⌋/√.5⌋',\n", - " 784: '⌊555*√⌊5*.5⌋⌋',\n", - " 785: '⌊555.5/√.5⌋',\n", - " 786: '((5.55*5!)+5!)',\n", - " 787: '⌈((.55*5)^5)*5⌉',\n", - " 788: '⌈(55+5!)*(5-.5)⌉',\n", - " 789: '⌊(555/√.5)+5⌋',\n", - " 790: '⌈(555/√.5)+5⌉',\n", - " 791: '⌊(555+5)/√.5⌋',\n", - " 792: '⌈(555+5)/√.5⌉',\n", - " 793: '⌈(5.5/5)*⌈5.5⌉!⌉',\n", - " 794: '(⌊(5+√5)*55⌋/.5)',\n", - " 795: '((555+5!)+5!)',\n", - " 796: '⌈55^(5/⌈5*.5⌉)⌉',\n", - " 797: '⌊((5*5)+5!)*5.5⌋',\n", - " 798: '(555+(⌈√5⌉^5))',\n", - " 799: '⌈⌈5!^√⌈5!/55⌉⌉/5⌉',\n", - " 800: '(((5+5)^5)/(5!+5))',\n", - " 801: '⌊(5!-5.5)*⌊√55⌋⌋',\n", - " 802: '⌈(5!-5.5)*⌊√55⌋⌉',\n", - " 803: '⌊(5!^√5)/55.5⌋',\n", - " 804: '⌈(5!^√5)/55.5⌉',\n", - " 805: '⌈√(55-(5+5))*5!⌉',\n", - " 806: '⌊(5-.5)^(5-.55)⌋',\n", - " 807: '⌊((5!+5)*5.5)+5!⌋',\n", - " 808: '⌈((5!+5)*5.5)+5!⌉',\n", - " 809: '⌊(√(55+5)*5!)-5!⌋',\n", - " 810: '⌊⌊(5!^√5)+5⌋/55⌋',\n", - " 811: '⌈⌊(5!^√5)+5⌋/55⌉',\n", - " 812: '⌈(5^√⌊5.5+5⌋)*5⌉',\n", - " 813: '⌊((5+√5)*5!)-55⌋',\n", - " 814: '(⌊√55*55⌋/.5)',\n", - " 815: '⌊(√55*55)/.5⌋',\n", - " 816: '⌈(√55*55)/.5⌉',\n", - " 817: '⌊5^((5/⌈5.5⌉)*5)⌋',\n", - " 818: '⌊(5!/.55)+(5!*5)⌋',\n", - " 819: '⌈(5!/.55)+(5!*5)⌉',\n", - " 820: '(((55*5)*⌈√5⌉)-5)',\n", - " 821: '⌊5!/(√.5^5.55)⌋',\n", - " 822: '⌊√⌊55-√55⌋*5!⌋',\n", - " 823: '⌊555+(5!*√5)⌋',\n", - " 824: '⌈555+(5!*√5)⌉',\n", - " 825: '(((5+5)+5)*55)',\n", - " 826: '⌊(5!*5)^(.55+.5)⌋',\n", - " 827: '⌊(5-.55)^(5-.5)⌋',\n", - " 828: '⌈(5-.55)^(5-.5)⌉',\n", - " 829: '⌈(((5+5)^5)/5!)-5⌉',\n", - " 830: '(⌊55.5*⌈√5⌉⌋*5)',\n", - " 831: '(⌊555*.5⌋*⌈√5⌉)',\n", - " 832: '⌊555*(⌈.5⌉+.5)⌋',\n", - " 833: '⌈555*(⌈.5⌉+.5)⌉',\n", - " 834: '⌊(√55*5!)-55⌋',\n", - " 835: '⌈(√55*5!)-55⌉',\n", - " 836: '⌊(5!-.55)*⌊√55⌋⌋',\n", - " 837: '⌈(5!-.55)*⌊√55⌋⌉',\n", - " 838: '⌊⌊5.5^5⌋/⌈5.5⌉⌋',\n", - " 839: '⌈⌊5.5^5⌋/⌈5.5⌉⌉',\n", - " 840: '(⌈5.555⌉!+5!)',\n", - " 841: '⌈(⌈5.5⌉!+.55)+5!⌉',\n", - " 842: '⌊(55*√5)+⌈5.5⌉!⌋',\n", - " 843: '⌊(√(55-5)*5!)-5⌋',\n", - " 844: '⌊√(55-5.5)*5!⌋',\n", - " 845: '((⌈5.55⌉!+5!)+5)',\n", - " 846: '⌈⌊5!-5.5⌋*√55⌉',\n", - " 847: '⌊(√55*(5!-5))-5⌋',\n", - " 848: '⌊√⌊55.5-5⌋*5!⌋',\n", - " 849: '⌈√⌊55.5-5⌋*5!⌉',\n", - " 850: '(((55+5!)-5)*5)',\n", - " 851: '⌈5!^((5/5.5)+.5)⌉',\n", - " 852: '⌊⌈5!-5.5⌉*√55⌋',\n", - " 853: '⌈⌈5!-5.5⌉*√55⌉',\n", - " 854: '⌈(√(55-5)*5!)+5⌉',\n", - " 855: '⌈(5.55^⌈√5⌉)*5⌉',\n", - " 856: '⌊√55.5*(5!-5)⌋',\n", - " 857: '⌈√55.5*(5!-5)⌉',\n", - " 858: '⌈(√55*(5!-5))+5⌉',\n", - " 859: '⌊55^(√5-.55)⌋',\n", - " 860: '⌈55^(√5-.55)⌉',\n", - " 861: '⌊((5!/55)+5)*5!⌋',\n", - " 862: '⌈((5!/55)+5)*5!⌉',\n", - " 863: '⌈5^(⌊5!/5.5⌋/5)⌉',\n", - " 864: '⌊(√55*5!)-(5*5)⌋',\n", - " 865: '(⌊55*√(5+5)⌋*5)',\n", - " 866: '⌈(√55*5!)-(5!/5)⌉',\n", - " 867: '⌊((√5-.5)^5)*55⌋',\n", - " 868: '⌊(√⌊5.55⌋+5)*5!⌋',\n", - " 869: '⌊(55*√(5+5))*5⌋',\n", - " 870: '((555-5!)/.5)',\n", - " 871: '⌊5!^√⌊.555*5⌋⌋',\n", - " 872: '⌊((55+5!)-.5)*5⌋',\n", - " 873: '⌈((55+5!)-.5)*5⌉',\n", - " 874: '⌊((55+5!)*5)-.5⌋',\n", - " 875: '(⌊55.5+5!⌋*5)',\n", - " 876: '⌈((55+5!)*5)+.5⌉',\n", - " 877: '⌊(55.5+5!)*5⌋',\n", - " 878: '⌈(55.5+5!)*5⌉',\n", - " 879: '⌊(√55*5!)-(5+5)⌋',\n", - " 880: '(⌈55.5+5!⌉*5)',\n", - " 881: '⌊√⌊55-.55⌋*5!⌋',\n", - " 882: '⌊⌊5!-.55⌋*√55⌋',\n", - " 883: '⌈⌊5!-.55⌋*√55⌉',\n", - " 884: '⌊(√55*5!)-5.5⌋',\n", - " 885: '⌊(5!-.55)*√55⌋',\n", - " 886: '⌈(5!-.55)*√55⌉',\n", - " 887: '⌈(⌈5.5^5⌉/5)-5!⌉',\n", - " 888: '⌊⌊√55*5!⌋-.55⌋',\n", - " 889: '⌊(55/√55)*5!⌋',\n", - " 890: '⌈(55/√55)*5!⌉',\n", - " 891: '⌈⌈√55*5!⌉+.55⌉',\n", - " 892: '⌈(5!^√5)/(55-5)⌉',\n", - " 893: '⌊√55.5*⌊5.5⌋!⌋',\n", - " 894: '⌊(.55+5!)*√55⌋',\n", - " 895: '⌊(√55*5!)+5.5⌋',\n", - " 896: '⌈(√55*5!)+5.5⌉',\n", - " 897: '⌊√⌈55.55⌉*5!⌋',\n", - " 898: '⌈√⌈55.55⌉*5!⌉',\n", - " 899: '⌈(√55.5*5!)+5⌉',\n", - " 900: '(((55+5)+5!)*5)',\n", - " 901: '⌊√55.5*⌈5!+.5⌉⌋',\n", - " 902: '⌊(5-(5.5/5))^5⌋',\n", - " 903: '⌈(5-(5.5/5))^5⌉',\n", - " 904: '⌊⌊55*√5⌋*√55⌋',\n", - " 905: '⌈⌊55*√5⌋*√55⌉',\n", - " 906: '(⌊55*5.5⌋*⌈√5⌉)',\n", - " 907: '⌊(55*5.5)*⌈√5⌉⌋',\n", - " 908: '⌈(55*5.5)*⌈√5⌉⌉',\n", - " 909: '(⌈55*5.5⌉*⌈√5⌉)',\n", - " 910: '⌊⌊√55*55⌋*√5⌋',\n", - " 911: '⌈⌊√55*55⌋*√5⌉',\n", - " 912: '⌊⌈55*√5⌉*√55⌋',\n", - " 913: '⌈⌈55*√5⌉*√55⌉',\n", - " 914: '⌊⌊5.5^5⌋/5.5⌋',\n", - " 915: '⌊5.5^⌊5-.55⌋⌋',\n", - " 916: '⌈5.5^⌊5-.55⌋⌉',\n", - " 917: '⌈√55.5*⌈5!+√5⌉⌉',\n", - " 918: '⌊(√5.5+5)*(5!+5)⌋',\n", - " 919: '⌊(55+5)^(5/⌈√5⌉)⌋',\n", - " 920: '⌊(5.5^⌊5-.5⌋)+5⌋',\n", - " 921: '⌊(5*.5)^√55.5⌋',\n", - " 922: '⌊(√55*(5!+5))-5⌋',\n", - " 923: '⌊((5+√5)*5!)+55⌋',\n", - " 924: '⌈((5+√5)*5!)+55⌉',\n", - " 925: '(((5!-55)+5!)*5)',\n", - " 926: '⌈⌊5^√(55*.5)⌋/5⌉',\n", - " 927: '⌊((√55*5)*5)*5⌋',\n", - " 928: '⌈((√55*5)*5)*5⌉',\n", - " 929: '⌊√⌊55.5+5⌋*5!⌋',\n", - " 930: '⌊(5.5+5!)*√55⌋',\n", - " 931: '⌈(5.5+5!)*√55⌉',\n", - " 932: '⌈√55.5*(5!+5)⌉',\n", - " 933: '⌊√(55.5+5)*5!⌋',\n", - " 934: '⌈√(55.5+5)*5!⌉',\n", - " 935: '(⌈5!/√55⌉*55)',\n", - " 936: '⌈√⌈55.5⌉*(5!+5)⌉',\n", - " 937: '⌊√⌈55.5+5⌉*5!⌋',\n", - " 938: '⌈√⌈55.5+5⌉*5!⌉',\n", - " 939: '⌊5.5/(.5^√55)⌋',\n", - " 940: '⌈5.5/(.5^√55)⌉',\n", - " 941: '⌊⌊√55+5!⌋*√55⌋',\n", - " 942: '⌊⌈5^5.5⌉/√55⌋',\n", - " 943: '⌈⌈5^5.5⌉/√55⌉',\n", - " 944: '⌊(√55*5!)+55⌋',\n", - " 945: '⌈(√55*5!)+55⌉',\n", - " 946: '⌈√((5.5+5)+5)^5⌉',\n", - " 947: '⌊((5+5)^√5)*5.5⌋',\n", - " 948: '⌊5.55^⌊5-.5⌋⌋',\n", - " 949: '⌈5.55^⌊5-.5⌋⌉',\n", - " 950: '((⌈√55*5⌉*5)*5)',\n", - " 951: '⌊⌈(5+5)^√5⌉*5.5⌋',\n", - " 952: '⌊√⌈√55+55⌉*5!⌋',\n", - " 953: '⌈√⌈√55+55⌉*5!⌉',\n", - " 954: '⌊(555+5!)/√.5⌋',\n", - " 955: '⌊(√55+.55)*5!⌋',\n", - " 956: '⌈(√55+.55)*5!⌉',\n", - " 957: '⌊(5^5)/(5.5-√5)⌋',\n", - " 958: '⌈(5^5)/(5.5-√5)⌉',\n", - " 959: '⌊(⌈√55⌉*5!)-.55⌋',\n", - " 960: '(⌈55/√55⌉*5!)',\n", - " 961: '⌊555*√⌈5*.5⌉⌋',\n", - " 962: '⌊(55+5!)*5.5⌋',\n", - " 963: '⌈(55+5!)*5.5⌉',\n", - " 964: '⌈555*(√5-.5)⌉',\n", - " 965: '⌊(5!/5.55)^√5⌋',\n", - " 966: '⌈(5!/5.55)^√5⌉',\n", - " 967: '⌊√((55+5)+5)*5!⌋',\n", - " 968: '⌊(5!^(5.5/5))*5⌋',\n", - " 969: '((⌊5-.5⌋^5)-55)',\n", - " 970: '(⌈5!^(5.5/5)⌉*5)',\n", - " 971: '⌈((5/.55)*5!)-5!⌉',\n", - " 972: '⌊(555-5!)*√5⌋',\n", - " 973: '⌈(555-5!)*√5⌉',\n", - " 974: '⌊√⌊.555*5!⌋*5!⌋',\n", - " 975: '⌈√⌊.555*5!⌋*5!⌉',\n", - " 976: '(⌊55*√5⌋*⌈√55⌉)',\n", - " 977: '⌈((5*.5)^5)*(5+5)⌉',\n", - " 978: '⌊⌈(5*√5)+5!⌉*√55⌋',\n", - " 979: '⌊(√⌊5.5+5⌋+5)*5!⌋',\n", - " 980: '(⌈(5*.5)^5⌉*(5+5))',\n", - " 981: '⌊((5-.5)/.55)*5!⌋',\n", - " 982: '⌊((5.5^5)-5!)/5⌋',\n", - " 983: '⌈((5.5^5)-5!)/5⌉',\n", - " 984: '⌈(55*⌈√55⌉)*√5⌉',\n", - " 985: '⌊⌈5!/.55⌉*(5-.5)⌋',\n", - " 986: '⌈⌈5!/.55⌉*(5-.5)⌉',\n", - " 987: '⌊√⌈5*√5⌉^5.55⌋',\n", - " 988: '⌊(⌈5.55⌉+√5)*5!⌋',\n", - " 989: '⌊5^(5!/⌈55*.5⌉)⌋',\n", - " 990: '((555/.5)-5!)',\n", - " 991: '⌊((5.5-√5)+5)*5!⌋',\n", - " 992: '⌈((5.5-√5)+5)*5!⌉',\n", - " 993: '⌊((5^5)/√(5+5))+5⌋',\n", - " 994: '⌊(√(.55*5)*5!)*5⌋',\n", - " 995: '(((55+5!)*5)+5!)',\n", - " 996: '⌊√⌈(5!+5)*.55⌉*5!⌋',\n", - " 997: '⌊(√(55/5)+5)*5!⌋',\n", - " 998: '⌈(√(55/5)+5)*5!⌉',\n", - " 999: '⌈⌈5^5.5⌉/⌊√55⌋⌉',\n", - " ...}" - ] - }, - "execution_count": 73, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "clear()\n", - "\n", - "%time makeable(five5s)" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "button": false, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "source": [ - "The output got truncated by Jupyter Notebook after 1000 entries. Let's see what the first unmakeable integer actually is:" - ] - }, - { - "cell_type": "code", - "execution_count": 74, - "metadata": { - "button": false, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "outputs": [ - { - "data": { - "text/plain": [ - "23308" - ] - }, - "execution_count": 74, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "unmakeable(five5s)" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "button": false, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "source": [ - "I think we've conquered the five 5s problem!\n", - "\n", "\n", "# Countdown to 2018\n", "\n", - "On January 1 2018, [Michael Littman](http://cs.brown.edu/~mlittman/) posted this:\n", + "One more thing: On January 1 2018, [Michael Littman](http://cs.brown.edu/~mlittman/) posted this:\n", "\n", - "> `2+0+1x8, 2+0-1+8, (2+0-1)x8, |2-0-1-8|, -2-0+1x8, -(2+0+1-8), sqrt(|2+0-18|), 2+0+1^8, 20-18, 2^(0x18), 2x0x1x8`... Happy New Year!\n", + "> 2+0+1×8, 2+0-1+8, (2+0-1)×8, |2-0-1-8|, -2-0+1×8, -(2+0+1-8), sqrt(|2+0-18|), 2+0+1^8, 20-18, 2^(0×18), 2×0×1×8... Happy New Year!\n", "\n", - "Can we replicate that countdown, using the four digits of the year, in order, with operators and parens to evaluate each of the numbers from 10 to 1? I'm assuming Michael is disallowing floor and ceil, but allowing our other operators." + "Can we replicate that countdown?" ] }, { "cell_type": "code", - "execution_count": 75, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "'(20*.1)+8, (2.0-1)+8, (2.0-1)*8, (-2.0+1)+8, √(20*1.8), (-2.0-1)+8, √(-2.0+18), 2.0+(1^8), 20-18, (2.0-1)^8, (2*0)*18'" - ] - }, - "execution_count": 75, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "clear()\n", - "floor_ceil_allowed = False\n", - "\n", - "def littman_countdown(year):\n", - " \"Return a Littman countdown for the year.\"\n", - " return ', '.join(littman(year, i) for i in range(10, -1, -1))\n", - "\n", - "def littman(year, i):\n", - " \"Return a string that makes i with the digits of year.\"\n", - " digits = tuple(map(int, str(year)))\n", - " return unbracket(expressions(digits).get(i, '???'))\n", - "\n", - "littman_countdown(2018)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Similar results, with some alternatives for some numbers.\n", - "\n", - "Let's look at the decade:" - ] - }, - { - "cell_type": "code", - "execution_count": 76, + "execution_count": 33, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "20/(1+1), 20-11, (-.20+1)/.1, (2.0+1)!+1, √(20-11)!, (2.0+1)!-1, (2.0+1)+1, √(20-11), 2+(0*11), (2.0-1)*1, (2*0)*11 ... Happy New Year 2011!\n", - "-2.0+12, (2.0+1)^2, 20-12, 2.0+(1/.2), (2.0+1)*2, (2.0+1)+2, (20*1)*.2, (2.0-1)+2, 2+(0*12), (2.0+1)-2, (2*0)*12 ... Happy New Year 2012!\n", - "20/(-1+3), (2.0+1)*3, 2.0*(1+3), 20-13, (20*1)*.3, 20/(1+3), (2.0-1)+3, (2.0-1)*3, 2+(0*13), (2.0+1)/3, (2*0)*13 ... Happy New Year 2013!\n", - "2.0*(1+4), √((2.0+1)^4), (20*1)*.4, (2.0+1)+4, 20-14, (20*1)/4, 20/(1+4), (-20-1)+4!, 2+(0*14), .20*(1+4), (2*0)*14 ... Happy New Year 2014!\n", - "(20*1)*.5, √(201-5!), (2.0+1)+5, (20*.1)+5, (20*.15)!, 20-15, (20*1)/5, 20*.15, 2+(0*15), (.20*1)*5, (2*0)*15 ... Happy New Year 2015!\n", - "2.0*(-1+6), (2.0+1)+6, (20*.1)+6, (2.0-1)+6, √(20+16), 20/√16, 20-16, 2.0+(1^6), 2+(0*16), (2.0-1)^6, (2*0)*16 ... Happy New Year 2016!\n", - "(2.0+1)+7, (20*.1)+7, (2.0-1)+7, (2.0-1)*7, (20-17)!, (-2.0*1)+7, (-2.0-1)+7, 20-17, 2+(0*17), (2.0-1)^7, (2*0)*17 ... Happy New Year 2017!\n", - "(20*.1)+8, (2.0-1)+8, (2.0-1)*8, (-2.0+1)+8, √(20*1.8), (-2.0-1)+8, √(-2.0+18), 2.0+(1^8), 20-18, (2.0-1)^8, (2*0)*18 ... Happy New Year 2018!\n", - "20-(1+9), (2.0-1)*9, (-2.0+1)+9, (-2.0*1)+9, (-2.0-1)+9, 20/(1+√9), (2.0-1)+√9, 2.0+(1^9), 2+(0*19), 20-19, (2*0)*19 ... Happy New Year 2019!\n" + "2.0+(1*8), (2*0)+(1+8), (2*0)+(1*8), ((2*0)-1)+8, (2*(0-1))+8, -2+((0-1)+8), 20*(1-.8), 2.0+(1^8), 20-18, 2^(0*18), 2*(0*18) ... Happy New Year!\n" ] } ], "source": [ - "for y in range(2011, 2020):\n", - " print('{} ... Happy New Year {}!'.format(littman_countdown(y), y))" + "def littman_countdown(year):\n", + " \"Return a Littman countdown for the year, given as a tuple of numbers.\"\n", + " return ', '.join(unbracket(expressions(year)[i])\n", + " for i in reversed(range(11)))\n", + "\n", + "print(littman_countdown((2, 0, 1, 8)), '... Happy New Year!')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Similar results, with some alternatives for some numbers. Let's get ready for next year:" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "20-(1+9), (2*0)+(1*9), ((2*0)-1)+9, (2*(0-1))+9, -2+((0-1)+9), 20/(1+√9), (2*0)+(1+√9), 2+(0.1+.9), 2+(0*19), 20-19, 2*(0*19) ... Happy New Year!\n" + ] + } + ], + "source": [ + "print(littman_countdown((2, 0, 1, 9)), '... Happy New Year!')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# What's Next?\n", + "\n", + "One exercise would be adding even more operators, such as:\n", + "\n", + "- **Floor and Ceiling**: `⌊5.5⌋ == 5, ⌈5.5⌉ == 6`\n", + "- **Nth root**: `3√8 == 2`\n", + "- **Percent**: `5% == 5/100`\n", + "- **Repeating decimal**: `.4_ == .44444444... = 4/9`\n", + "- **Transcendental functions**: `log, sin, cos, tan, arcsin, ...` \n", + "\n", + "What would you like to do?" ] } ], From 683bfca0b6a667f6cbed10586e823a1a00d46502 Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Sat, 19 May 2018 17:10:15 -0700 Subject: [PATCH 79/90] Add files via upload --- ipynb/Countdown.ipynb | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/ipynb/Countdown.ipynb b/ipynb/Countdown.ipynb index c653f90..21e9680 100644 --- a/ipynb/Countdown.ipynb +++ b/ipynb/Countdown.ipynb @@ -22,9 +22,9 @@ "On January 1, 2016 Alex Bellos [posed](http://www.theguardian.com/science/2016/jan/04/can-you-solve-it-complete-the-equation-10-9-8-7-6-5-4-3-2-1-2016) this New Year's puzzle:\n", "\n", "\n", - "> Fill in the blanks so that this equation makes arithmetical sense:\n", + ">Fill in the blanks so that this equation makes arithmetical sense:\n", "\n", - "> 10 ␣ 9 ␣ 8 ␣ 7 ␣ 6 ␣ 5 ␣ 4 ␣ 3 ␣ 2 ␣ 1 = 2016\n", + "10 ␣ 9 ␣ 8 ␣ 7 ␣ 6 ␣ 5 ␣ 4 ␣ 3 ␣ 2 ␣ 1 = 2016\n", "\n", "> You are allowed to use *only* the four basic arithmetical operations: +, -, ×, ÷. But brackets (parentheses) can be used wherever needed. So, for example, the solution could begin\n", "\n", @@ -589,7 +589,7 @@ " \n", "> The most famous “fill in the gaps in the equation” puzzle is known as the [four fours](https://en.wikipedia.org/wiki/Four_fours), because every equation is of the form\n", "\n", - "> 4 ␣ 4 ␣ 4 ␣ 4 = X.\n", + "4 ␣ 4 ␣ 4 ␣ 4 = X.\n", "\n", ">In the classic form of the puzzle you must find a solution for X = 0 to 9 using just addition, subtraction, multiplication and division.\n", "\n", From d6918174147af56897040fc6853b3ce582595f76 Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Sat, 19 May 2018 17:12:56 -0700 Subject: [PATCH 80/90] Add files via upload --- ipynb/Countdown.ipynb | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/ipynb/Countdown.ipynb b/ipynb/Countdown.ipynb index 21e9680..284a596 100644 --- a/ipynb/Countdown.ipynb +++ b/ipynb/Countdown.ipynb @@ -24,7 +24,7 @@ "\n", ">Fill in the blanks so that this equation makes arithmetical sense:\n", "\n", - "10 ␣ 9 ␣ 8 ␣ 7 ␣ 6 ␣ 5 ␣ 4 ␣ 3 ␣ 2 ␣ 1 = 2016\n", + "> 10 ␣ 9 ␣ 8 ␣ 7 ␣ 6 ␣ 5 ␣ 4 ␣ 3 ␣ 2 ␣ 1 = 2016\n", "\n", "> You are allowed to use *only* the four basic arithmetical operations: +, -, ×, ÷. But brackets (parentheses) can be used wherever needed. So, for example, the solution could begin\n", "\n", @@ -589,7 +589,7 @@ " \n", "> The most famous “fill in the gaps in the equation” puzzle is known as the [four fours](https://en.wikipedia.org/wiki/Four_fours), because every equation is of the form\n", "\n", - "4 ␣ 4 ␣ 4 ␣ 4 = X.\n", + "> 4 ␣ 4 ␣ 4 ␣ 4 = X.\n", "\n", ">In the classic form of the puzzle you must find a solution for X = 0 to 9 using just addition, subtraction, multiplication and division.\n", "\n", From 4522be0f52f6fe18664b639c9bf067976bfdc0b8 Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Sat, 19 May 2018 17:13:44 -0700 Subject: [PATCH 81/90] Update README.md --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index 91a6d41..ba0eabf 100644 --- a/README.md +++ b/README.md @@ -15,7 +15,7 @@ Some are in Jupyter (IPython) notebooks, some in `.py` files. You can view the f |[The Devil and the Coin Flip Game](https://github.com/norvig/pytudes/blob/master/ipynb/Coin%20Flip.ipynb)
*How to beat the Devil at his own game.*| |[Translating English Sentences into Propositional Logic Statements](https://github.com/norvig/pytudes/blob/master/ipynb/PropositionalLogic.ipynb)
*Automatically converting informal English sentences into formal Propositional Logic.*| |[The Puzzle of the Misanthropic Neighbors](https://github.com/norvig/pytudes/blob/master/ipynb/Mean%20Misanthrope%20Density.ipynb)
*How crowded will this neighborhood be, if nobody wants to live next door to anyone else?*| -|[Countdown to 2016](https://github.com/norvig/pytudes/blob/master/ipynb/Countdown.ipynb)
*Solving the equation 10 _ 9 _ 8 _ 7 _ 6 _ 5 _ 4 _ 3 _ 2 _ 1 = 2016. From an Alex Bellos puzzle.*| +|[Four 4s, Five 5s, and Countdown to 2016](https://github.com/norvig/pytudes/blob/master/ipynb/Countdown.ipynb)
*Solving the equation 10 _ 9 _ 8 _ 7 _ 6 _ 5 _ 4 _ 3 _ 2 _ 1 = 2016. From an Alex Bellos puzzle.*| |[Sicherman Dice](https://github.com/norvig/pytudes/blob/master/ipynb/Sicherman%20Dice.ipynb)
*Find a pair of dice that is like a regular pair of dice, only different.*| |[Beal's Conjecture Revisited](https://github.com/norvig/pytudes/blob/master/ipynb/Beal.ipynb)
*A search for counterexamples to Beal's Conjecture*| |[When is Cheryl's Birthday?](https://github.com/norvig/pytudes/blob/master/ipynb/Cheryl.ipynb)
*Solving the "Cheryl's Birthday" logic puzzle.*| From e9374b32741604b0b046088ac6c8d6c046d4a18b Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Mon, 2 Jul 2018 15:27:45 -0700 Subject: [PATCH 82/90] Add files via upload --- ipynb/Scrabble.ipynb | 26084 ++++++++++++++++++++++++++++------------- 1 file changed, 17748 insertions(+), 8336 deletions(-) diff --git a/ipynb/Scrabble.ipynb b/ipynb/Scrabble.ipynb index 7dbea70..89efeb7 100644 --- a/ipynb/Scrabble.ipynb +++ b/ipynb/Scrabble.ipynb @@ -15,7 +15,7 @@ "\n", "# Refactoring a Crossword Game Program\n", "\n", - "In my [CS 212 class](https://www.udacity.com/course/design-of-computer-programs--cs212) on Udacity, the [most complex lesson](https://www.udacity.com/course/viewer#!/c-cs212/l-48634860) involved a crossword game program (for games such as Scrabble® and Words with Friends®). The program was developed *incrementally*. First I asked \"what words can be made with a rack of seven letters, reagardless of the board?\", then I asked \"how can you place words onto a single row of the board?\", and finally, I, with the help of the students, developed a program to find the highest scoring play anywhere on the board. This approach made for a good sequence of exercises, each building on the previous one. But the code ended up being overly complicated—it accumlated [technical debt](https://en.wikipedia.org/wiki/Technical_debt)—because it kept around old ideas from each iteration.\n", + "In my [CS 212 class](https://www.udacity.com/course/design-of-computer-programs--cs212) on Udacity, the most complex lesson involved a [crossword game program](https://www.udacity.com/course/viewer#!/c-cs212/l-48634860) (for games such as Scrabble® and Words with Friends®). The program was developed *incrementally*. First I asked \"what words can be made with a rack of seven letters, reagardless of the board?\" Then I asked \"how can you place words onto a single row of the board?\" Finally, I, with the help of the students, developed a program to find the highest scoring play anywhere on the board. This approach made for a good sequence of exercises, each building on the previous one. But the code ended up being overly complicated—it accumlated [technical debt](https://en.wikipedia.org/wiki/Technical_debt)—because it kept around old ideas from each iteration.\n", "\n", "In this notebook I will refactor the program to pay off the technical debt.\n", "\n", @@ -31,9 +31,9 @@ "* **Board**: a grid of squares onto which players play tiles to make words. \n", "* **Square**: a location on the board; a square can hold one tile. (In the code, the variable name `s` always stands for a square number, and `sq` for the contents of a square, which can be a tile or empty.)\n", "* **Bonus**: some squares give you bonus scores: double or triple letter or word scores.\n", - "* **Play**: a play consists of placing some tiles on the board to form a continuous string of letters in one direction (across or down), such that only valid words are formed, and such that one of the letters is placed on an anchor square.\n", + "* **Play**: a play consists of placing some tiles on the board to form a continuous string of letters in one direction (across or down), such that only valid dictionary words are formed, and such that one of the letters is placed on an anchor square.\n", "* **Anchor square**: Every play must place a letter on an anchor square: either the center start square or a square that is adjacent to a tile previously played on the board. \n", - "* **Direction:** Every play must be in either the across or down direction. (The variable `dir` always stands for a direction, and is `1` for across and `17` for down.)\n", + "* **Direction:** Every play must be in either the across or down direction. (The variable `dir` always stands for a direction.)\n", "* **Cross word**: a word formed in the *other* direction from a play. For example, a play forms a word in the across direction, and in doing so, places a letter that extends a word in the down direction. Any new extended *cross word* must be in the dictionary.\n", "* **Score**: the points awarded for a play, consisting of the sum of the word scores for each word created (the main word and possibly any cross words), plus a *bingo* bonus if all seven letters are used. \n", "* **Word score**: Each word scores the sum of the letter scores for each tile (either placed by the player or already on the board but part of the word) times the word bonus score. The word bonus score starts at 1, and is multiplied by 2 for each double word square and 3 for each triple word square covered by a tile on this play.\n", @@ -43,6 +43,7 @@ "rack is replenished with tiles until the player has 7 tiles or until the bag of tiles is empty.\n", "* **Prefix**: a string of zero or more letters that starts some word in the dictionary. Not a concept that has to do\n", "with the *rules* of the game; it will be important in our *algorithm* that finds valid plays.\n", + "* **HTML display**: a (hopefully) pretty display of the board.\n", "\n", "This notebook uses these imports:" ] @@ -61,8 +62,8 @@ }, "outputs": [], "source": [ - "from __future__ import division, print_function\n", - "from collections import defaultdict, namedtuple\n", + "from collections import defaultdict, namedtuple\n", + "from statistics import mean, median\n", "from IPython.display import HTML, display\n", "import random" ] @@ -81,7 +82,7 @@ "\n", "# Dictionary and Words\n", "\n", - "We will represent the dictionary as a set of words. A word is an uppercase string of letters, like `'WORD'`. There are several standard dictionaries used by different communities of players; we will use the ENABLE dictionary—we can cache a local copy with this shell command:" + "We will represent the dictionary as a `set` of words. A word is an uppercase string of letters, like `'WORD'`. There are several standard dictionaries used by different communities of players; we will use the ENABLE dictionary—we can cache a local copy with this shell command:" ] }, { @@ -131,20 +132,35 @@ "source": [ "def Word(w) -> str: return w.strip().upper()\n", "\n", - "def is_word(word) -> bool: \n", - " \"Is this a legal word in the dictionary?\"\n", - " return word.upper() in DICTIONARY" + "DICTIONARY = {Word(w) for w in open('enable1.txt')}" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { - "collapsed": true + "button": false, + "collapsed": false, + "deletable": true, + "new_sheet": false, + "run_control": { + "read_only": false + } }, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "172820" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ - "DICTIONARY = {Word(w) for w in open('enable1.txt')}" + "len(DICTIONARY)" ] }, { @@ -163,7 +179,16 @@ { "data": { "text/plain": [ - "172820" + "['MUTUALITY',\n", + " 'HYPERIMMUNIZE',\n", + " 'MULISH',\n", + " 'AIRSICK',\n", + " 'PERSISTS',\n", + " 'UNRIDABLE',\n", + " 'DECANES',\n", + " 'UNSETTLEDNESS',\n", + " 'PIANISSIMI',\n", + " 'IRENICS']" ] }, "execution_count": 5, @@ -172,7 +197,7 @@ } ], "source": [ - "len(DICTIONARY)" + "random.sample(DICTIONARY, 10)" ] }, { @@ -187,43 +212,6 @@ "read_only": false } }, - "outputs": [ - { - "data": { - "text/plain": [ - "['RATANY',\n", - " 'CONFERRING',\n", - " 'PHOTOTOXICITIES',\n", - " 'BESTIRS',\n", - " 'STRENGTH',\n", - " 'JACKSMELTS',\n", - " 'INVERSION',\n", - " 'PILEUP',\n", - " 'EYEBARS',\n", - " 'KNUCKLEHEADED']" - ] - }, - "execution_count": 6, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "random.sample(DICTIONARY, 10)" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": { - "button": false, - "collapsed": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, "outputs": [ { "data": { @@ -231,7 +219,7 @@ "True" ] }, - "execution_count": 7, + "execution_count": 6, "metadata": {}, "output_type": "execute_result" } @@ -257,12 +245,12 @@ "\n", "The blank tile causes some complications. We'll represent a blank in a player's rack as the underscore character, `'_'`. But once the blank is played on the board, it must be used as if it was a specific letter. However, it doesn't score the points of the letter. I chose to use the lowercase version of the letter to represent this. That way, we know what letter the blank is standing for, and we can distinguish between scoring and non-scoring tiles. For example, `'EELRTT_'` is a rack that contains a blank; and `'LETTERs'` is a word played on the board that uses the blank to stand for the letter `S`. \n", "\n", - "We'll define `letters` to give all the distinct letters that can be made by a rack, and `remove` to remove letters from a rack (after they have been played)." + "We'll define `letters(rack)` to give all the distinct letters that can be made by a rack, and `is_word` to test if a word is in the dictionary. The `dict` `POINTS` tells how many points each letter is worth." ] }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 7, "metadata": { "button": false, "collapsed": false, @@ -279,24 +267,43 @@ "\n", "def letters(rack) -> str:\n", " \"All the distinct letters in a rack (including lowercase if there is a blank).\"\n", - " if BLANK in rack:\n", - " return cat(set(rack.replace(BLANK, ''))) + 'abcdefghijklmnopqrstuvwxyz'\n", - " else:\n", - " return cat(set(rack))\n", + " return cat(set(rack.replace(BLANK, 'abcdefghijklmnopqrstuvwxyz')))\n", " \n", - "def letters(rack) -> str:\n", - " \"All the distinct letters in a rack (including lowercase if there is a blank).\"\n", - " if BLANK in rack:\n", - " return letters(rack.replace(BLANK, '')) + 'abcdefghijklmnopqrstuvwxyz'\n", - " else:\n", - " return cat(set(rack))\n", - " \n", - "def remove(tiles, rack) -> str:\n", - " \"Return a copy of rack with the given tile(s) removed.\"\n", - " for tile in tiles:\n", - " if tile.islower(): tile = BLANK\n", - " rack = rack.replace(tile, '', 1)\n", - " return rack" + "def is_word(word) -> bool: \n", + " \"Is this a legal word in the dictionary?\"\n", + " return word.upper() in DICTIONARY\n", + "\n", + "POINTS = defaultdict(int, \n", + " A=1, B=3, C=3, D=2, E=1, F=4, G=2, H=4, I=1, J=8, K=5, L=1, M=3, \n", + " N=1, O=1, P=3, Q=10, R=1, S=1, T=1, U=1, V=4, W=4, X=8, Y=4, Z=10)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "button": false, + "collapsed": false, + "deletable": true, + "new_sheet": false, + "run_control": { + "read_only": false + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "is_word('LETTERs')" ] }, { @@ -315,7 +322,7 @@ { "data": { "text/plain": [ - "True" + "'KCAR'" ] }, "execution_count": 9, @@ -324,7 +331,7 @@ } ], "source": [ - "is_word('LETTERs')" + "letters('RRAACCK')" ] }, { @@ -343,7 +350,7 @@ { "data": { "text/plain": [ - "'ERLST'" + "'rzvEbTathwfodRjLecgpixsymqlkun'" ] }, "execution_count": 10, @@ -351,92 +358,30 @@ "output_type": "execute_result" } ], - "source": [ - "letters('LETTERS')" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": { - "button": false, - "collapsed": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "outputs": [ - { - "data": { - "text/plain": [ - "'ERLTabcdefghijklmnopqrstuvwxyz'" - ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" - } - ], "source": [ "letters('EELRTT_')" ] }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 11, "metadata": { - "button": false, - "collapsed": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } + "collapsed": false }, "outputs": [ { "data": { "text/plain": [ - "'LTER'" + "10" ] }, - "execution_count": 12, + "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "remove('SET', 'LETTERS')" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": { - "button": false, - "collapsed": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "outputs": [ - { - "data": { - "text/plain": [ - "'LE'" - ] - }, - "execution_count": 13, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "remove('TREaT', 'LETTER_') " + "POINTS['Q']" ] }, { @@ -455,7 +400,7 @@ "In the [previous version](https://www.udacity.com/course/viewer#!/c-cs212/l-48634860) of this program, the board was a two-dimensional matrix, and a square on the board was denoted by a `(row, col)` pair of indexes. There's nothing wrong with that representation, but for this version we will choose a different representation that is simpler in most ways:\n", "\n", "* The board is represented as a one-dimensional list of squares.\n", - "* The default board is 15×15 squares, but\n", + "* The standard board is 15×15 squares, but\n", "we will include a *border* around the outside, making the board size 17×17. \n", "* Squares are denoted by integer indexes, from 0 to 288.\n", "* To move in the `ACROSS` direction from one square to the next, increment the square index by 1.\n", @@ -463,13 +408,14 @@ "* The border squares are filled with a symbol, `OFF`, indicating that they are off the board.\n", "The advantage of the border is that the code never has to check if it is at the edge of the board; it can always\n", "look at the neighboring square without fear of indexing off the end of the board.\n", - "* Each square on the board is initially filled by a symbol indicating the bonus value of the square. When a tile is placed on a square,\n", + "* Each square on the board is initially filled by a symbol indicating the bonus value of the square: 1/2/3-dot characters for single/double/triple letter score; 2/3-dash characters for double and triple word score; and a star for the center starting position. When a tile is placed on a square,\n", "the tile replaces the bonus value.\n", "\n", - "How will we implement this? We'll define `Board` as a subclass of `list` and give it two additional attributes: \n", + "How will we implement this? We'll define `Board` as a subclass of `list` and give it three additional attributes: \n", "\n", "- `down`: the increment to move in the down direction; 17 for a standard board.\n", "- `directions`: the four increments to move to any neighboring square; `(1, 17, -1, -17)` in a standard board.\n", + "- `bingo`: the number of points you get for using all 7 letters.\n", "\n", "Jupyter/Ipython notebooks have a special convention for displaying objects in HTML. We will adopt it as a method of `Board`:\n", "\n", @@ -478,7 +424,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 12, "metadata": { "button": false, "collapsed": false, @@ -491,9 +437,9 @@ "outputs": [], "source": [ "ACROSS = 1 # The 'across' direction; 'down' depends on the size of the board\n", - "OFF = '#' # A square that is off the board\n", - "EMPTY = '.:;-=*'\n", - "SL, DL, TL, DW, TW, STAR = EMPTY # Single/double/triple letter; double/triple word; star\n", + "OFF = '█' # A square that is off the board\n", + "(SL, DL, TL, DW, TW, STAR) = EMPTY = ( # Single/double/triple letter; double/triple word; star\n", + " '.', ':', '∴', '=', '≡', '*') \n", "\n", "Square = int # Squares are implemented as integer indexes.\n", "Direction = int # Directions are implemented as integer increments\n", @@ -523,110 +469,14 @@ } }, "source": [ - "We'll define the standard boards for Words with Friends® and Scrabble®:" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": { - "button": false, - "collapsed": true, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "outputs": [], - "source": [ - "WWF = Board(\"\"\"\n", - "# # # # # # # # # # # # # # # # #\n", - "# . . . = . . ; . ; . . = . . . #\n", - "# . . : . . - . . . - . . : . . #\n", - "# . : . . : . . . . . : . . : . #\n", - "# = . . ; . . . - . . . ; . . = #\n", - "# . . : . . . : . : . . . : . . #\n", - "# . - . . . ; . . . ; . . . - . #\n", - "# ; . . . : . . . . . : . . . ; #\n", - "# . . . - . . . * . . . - . . . #\n", - "# ; . . . : . . . . . : . . . ; #\n", - "# . - . . . ; . . . ; . . . - . #\n", - "# . . : . . . : . : . . . : . . #\n", - "# = . . ; . . . - . . . ; . . = #\n", - "# . : . . : . . . . . : . . : . #\n", - "# . . : . . - . . . - . . : . . #\n", - "# . . . = . . ; . ; . . = . . . #\n", - "# # # # # # # # # # # # # # # # #\n", - "\"\"\".split(), bingo=35)" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "SCRABBLE = Board(\"\"\"\n", - "# # # # # # # # # # # # # # # # #\n", - "# = . . : . . . = . . . : . . = #\n", - "# . - . . . ; . . . ; . . . - . #\n", - "# . . - . . . : . : . . . - . . #\n", - "# : . . - . . . : . . . - . . : #\n", - "# . . . . - . . . . . - . . . . #\n", - "# . ; . . . ; . . . ; . . . ; . #\n", - "# . . : . . . : . : . . . : . . #\n", - "# = . . : . . . * . . . : . . = #\n", - "# . . : . . . : . : . . . : . . #\n", - "# . ; . . . ; . . . ; . . . ; . #\n", - "# . . . . - . . . . . - . . . . #\n", - "# : . . - . . . : . . . - . . : #\n", - "# . . - . . . : . : . . . - . . #\n", - "# . - . . . ; . . . ; . . . - . #\n", - "# = . . : . . . = . . . : . . = #\n", - "# # # # # # # # # # # # # # # # #\n", - "\"\"\".split(), bingo=50)" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": { - "button": false, - "collapsed": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "outputs": [], - "source": [ - "assert len(WWF) == len(SCRABBLE) == 17 * 17\n", - "assert all(sq in EMPTY or sq == OFF for sq in WWF + SCRABBLE)" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "button": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "source": [ - "# Displaying the Board in HTML\n", + "# HTML Display of the Board\n", "\n", - "I want to diaplay the board in HTML, as a table with different background colors for the bonus squares; and gold-colored letter tiles. I also want to display the point values for each letter on the tiles; I'll use a `defaultdict` of `{letter: int}` named `POINTS` for that." + "I want to diaplay the board in HTML, as a table with different background colors for the bonus squares; and gold-colored letter tiles. " ] }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 13, "metadata": { "button": false, "collapsed": false, @@ -642,34 +492,42 @@ " \"An HTML representation of the board.\"\n", " size = board.down - 2\n", " squares = [square_html(sq) for sq in board if sq != OFF]\n", - " row = ('' + '{}' * size)\n", - " return ('' + row * size + '
').format(*squares)\n", + " row = ('' + size * '{}')\n", + " return ('' + (size * row) + '
').format(*squares)\n", " \n", - "board_colors = {\n", + "def square_html(sq) -> str:\n", + " \"An HTML representation of a square.\"\n", + " color, size, text = (bonus_colors[sq] if sq in EMPTY else ('gold', 120, sq))\n", + " return ('''{}{}'''\n", + " .format(color, size, text, POINTS[text] or ''))\n", + "\n", + "bonus_colors = {\n", " DL: ('lightblue', 66, 'DL'),\n", " TL: ('lightgreen', 66, 'TL'),\n", " DW: ('lightcoral', 66, 'DW'),\n", " TW: ('orange', 66, 'TW'),\n", " SL: ('whitesmoke', 66, ''),\n", - " STAR: ('violet', 100, '✭')}\n", - "\n", - "def square_html(sq) -> str:\n", - " \"An HTML representation of a square.\"\n", - " color, size, text = board_colors.get(sq, ('gold', 120, sq))\n", - " if text.isupper(): \n", - " text = '{}{}'.format(text, POINTS.get(text, ''))\n", - " params = \"width:25px; height:25px; text-align:center; padding:0px;\"\n", - " style = \"background-color:{}; font-size:{}%\".format(color, size, text)\n", - " return '' + text\n", - "\n", - "POINTS = defaultdict(int, \n", - " A=1, B=3, C=3, D=2, E=1, F=4, G=2, H=4, I=1, J=8, K=5, L=1, M=3, \n", - " N=1, O=1, P=3, Q=10, R=1, S=1, T=1, U=1, V=4, W=4, X=8, Y=4, Z=10)" + " STAR: ('violet', 99, '✭')}" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "button": false, + "deletable": true, + "new_sheet": false, + "run_control": { + "read_only": false + } + }, + "source": [ + "We'll define the standard boards for Words with Friends® and Scrabble®:" ] }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 14, "metadata": { "button": false, "collapsed": false, @@ -683,95 +541,320 @@ { "data": { "text/html": [ - "
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" ], "text/plain": [ - "['#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '=',\n", + "['█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '≡',\n", " '.',\n", " '.',\n", " ':',\n", " '.',\n", " '.',\n", " '.',\n", + " '≡',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " ':',\n", + " '.',\n", + " '.',\n", + " '≡',\n", + " '█',\n", + " '█',\n", + " '.',\n", + " '=',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " '∴',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " '∴',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " '=',\n", + " '.',\n", + " '█',\n", + " '█',\n", + " '.',\n", + " '.',\n", + " '=',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " ':',\n", + " '.',\n", + " ':',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " '=',\n", + " '.',\n", + " '.',\n", + " '█',\n", + " '█',\n", + " ':',\n", + " '.',\n", + " '.',\n", " '=',\n", " '.',\n", " '.',\n", @@ -1031,114 +1406,67 @@ " ':',\n", " '.',\n", " '.',\n", + " '.',\n", " '=',\n", - " '#',\n", - " '#',\n", - " '.',\n", - " '-',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " ';',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " ';',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " '-',\n", - " '.',\n", - " '#',\n", - " '#',\n", - " '.',\n", - " '.',\n", - " '-',\n", - " '.',\n", " '.',\n", " '.',\n", " ':',\n", - " '.',\n", - " ':',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " '-',\n", - " '.',\n", - " '.',\n", - " '#',\n", - " '#',\n", - " ':',\n", - " '.',\n", - " '.',\n", - " '-',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " ':',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " '-',\n", - " '.',\n", - " '.',\n", - " ':',\n", - " '#',\n", - " '#',\n", + " '█',\n", + " '█',\n", " '.',\n", " '.',\n", " '.',\n", " '.',\n", - " '-',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " '-',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " '#',\n", - " '#',\n", - " '.',\n", - " ';',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " ';',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " ';',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " ';',\n", - " '.',\n", - " '#',\n", - " '#',\n", - " '.',\n", - " '.',\n", - " ':',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " ':',\n", - " '.',\n", - " ':',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " ':',\n", - " '.',\n", - " '.',\n", - " '#',\n", - " '#',\n", " '=',\n", " '.',\n", " '.',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " '=',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " '█',\n", + " '█',\n", + " '.',\n", + " '∴',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " '∴',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " '∴',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " '∴',\n", + " '.',\n", + " '█',\n", + " '█',\n", + " '.',\n", + " '.',\n", + " ':',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " ':',\n", + " '.',\n", + " ':',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " ':',\n", + " '.',\n", + " '.',\n", + " '█',\n", + " '█',\n", + " '≡',\n", + " '.',\n", + " '.',\n", " ':',\n", " '.',\n", " '.',\n", @@ -1150,9 +1478,9 @@ " ':',\n", " '.',\n", " '.',\n", - " '=',\n", - " '#',\n", - " '#',\n", + " '≡',\n", + " '█',\n", + " '█',\n", " '.',\n", " '.',\n", " ':',\n", @@ -1168,97 +1496,32 @@ " ':',\n", " '.',\n", " '.',\n", - " '#',\n", - " '#',\n", + " '█',\n", + " '█',\n", " '.',\n", - " ';',\n", + " '∴',\n", " '.',\n", " '.',\n", " '.',\n", - " ';',\n", + " '∴',\n", " '.',\n", " '.',\n", " '.',\n", - " ';',\n", + " '∴',\n", " '.',\n", " '.',\n", " '.',\n", - " ';',\n", + " '∴',\n", " '.',\n", - " '#',\n", - " '#',\n", + " '█',\n", + " '█',\n", " '.',\n", " '.',\n", " '.',\n", " '.',\n", - " '-',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " '-',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " '#',\n", - " '#',\n", - " ':',\n", - " '.',\n", - " '.',\n", - " '-',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " ':',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " '-',\n", - " '.',\n", - " '.',\n", - " ':',\n", - " '#',\n", - " '#',\n", - " '.',\n", - " '.',\n", - " '-',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " ':',\n", - " '.',\n", - " ':',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " '-',\n", - " '.',\n", - " '.',\n", - " '#',\n", - " '#',\n", - " '.',\n", - " '-',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " ';',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " ';',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " '-',\n", - " '.',\n", - " '#',\n", - " '#',\n", " '=',\n", " '.',\n", " '.',\n", - " ':',\n", " '.',\n", " '.',\n", " '.',\n", @@ -1266,36 +1529,121 @@ " '.',\n", " '.',\n", " '.',\n", + " '.',\n", + " '█',\n", + " '█',\n", + " ':',\n", + " '.',\n", + " '.',\n", + " '=',\n", + " '.',\n", + " '.',\n", + " '.',\n", " ':',\n", " '.',\n", " '.',\n", + " '.',\n", " '=',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#']" + " '.',\n", + " '.',\n", + " ':',\n", + " '█',\n", + " '█',\n", + " '.',\n", + " '.',\n", + " '=',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " ':',\n", + " '.',\n", + " ':',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " '=',\n", + " '.',\n", + " '.',\n", + " '█',\n", + " '█',\n", + " '.',\n", + " '=',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " '∴',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " '∴',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " '=',\n", + " '.',\n", + " '█',\n", + " '█',\n", + " '≡',\n", + " '.',\n", + " '.',\n", + " ':',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " '≡',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " ':',\n", + " '.',\n", + " '.',\n", + " '≡',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█']" ] }, - "execution_count": 20, + "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ + "SCRABBLE = Board(\"\"\"\n", + "█ █ █ █ █ █ █ █ █ █ █ █ █ █ █ █ █\n", + "█ ≡ . . : . . . ≡ . . . : . . ≡ █\n", + "█ . = . . . ∴ . . . ∴ . . . = . █\n", + "█ . . = . . . : . : . . . = . . █\n", + "█ : . . = . . . : . . . = . . : █\n", + "█ . . . . = . . . . . = . . . . █\n", + "█ . ∴ . . . ∴ . . . ∴ . . . ∴ . █\n", + "█ . . : . . . : . : . . . : . . █\n", + "█ ≡ . . : . . . * . . . : . . ≡ █\n", + "█ . . : . . . : . : . . . : . . █\n", + "█ . ∴ . . . ∴ . . . ∴ . . . ∴ . █\n", + "█ . . . . = . . . . . = . . . . █\n", + "█ : . . = . . . : . . . = . . : █\n", + "█ . . = . . . : . : . . . = . . █\n", + "█ . = . . . ∴ . . . ∴ . . . = . █\n", + "█ ≡ . . : . . . ≡ . . . : . . ≡ █\n", + "█ █ █ █ █ █ █ █ █ █ █ █ █ █ █ █ █\n", + "\"\"\".split(), bingo=50)\n", + "\n", "SCRABBLE" ] }, @@ -1323,7 +1671,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 16, "metadata": { "button": false, "collapsed": true, @@ -1363,7 +1711,7 @@ }, { "cell_type": "code", - 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" ], "text/plain": [ - "['#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", + "['█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", " '.',\n", " '.',\n", " '.',\n", - " '=',\n", + " '≡',\n", " '.',\n", " '.',\n", - " ';',\n", + " '∴',\n", " '.',\n", - " ';',\n", + " '∴',\n", + " '.',\n", + " '.',\n", + " '≡',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " '█',\n", + " '█',\n", + " '.',\n", + " '.',\n", + " ':',\n", " '.',\n", " '.',\n", " '=',\n", " '.',\n", " '.',\n", " '.',\n", - " '#',\n", - " '#',\n", - " '.',\n", - " '.',\n", - " ':',\n", - " '.',\n", - " '.',\n", - " '-',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " '-',\n", - " '.',\n", - " '.',\n", - " ':',\n", - " '.',\n", - " '.',\n", - " '#',\n", - " '#',\n", - " '.',\n", - " ':',\n", - " '.',\n", - " '.',\n", - " ':',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " ':',\n", - " '.',\n", - " '.',\n", - " ':',\n", - " '.',\n", - " '#',\n", - " '#',\n", " '=',\n", " '.',\n", " '.',\n", - " ';',\n", + " ':',\n", + " '.',\n", + " '.',\n", + " '█',\n", + " '█',\n", + " '.',\n", + " ':',\n", + " '.',\n", + " '.',\n", + " ':',\n", " '.',\n", " '.',\n", " '.',\n", - " '-',\n", " '.',\n", " '.',\n", + " ':',\n", + " '.',\n", + " '.',\n", + " ':',\n", + " '.',\n", + " '█',\n", + " '█',\n", + " '≡',\n", + " '.',\n", + " '.',\n", + " '∴',\n", " '.',\n", - " ';',\n", " '.',\n", " '.',\n", " '=',\n", - " '#',\n", - " '#',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " '∴',\n", + " '.',\n", + " '.',\n", + " '≡',\n", + " '█',\n", + " '█',\n", " '.',\n", " '.',\n", " ':',\n", @@ -1481,26 +2054,26 @@ " ':',\n", " '.',\n", " '.',\n", - " '#',\n", - " '#',\n", + " '█',\n", + " '█',\n", " '.',\n", - " '-',\n", + " '=',\n", " '.',\n", " '.',\n", " '.',\n", - " ';',\n", + " '∴',\n", " '.',\n", " '.',\n", " '.',\n", - " ';',\n", + " '∴',\n", " '.',\n", " '.',\n", " '.',\n", - " '-',\n", + " '=',\n", " 'B',\n", - " '#',\n", - " '#',\n", - " ';',\n", + " '█',\n", + " '█',\n", + " '∴',\n", " '.',\n", " '.',\n", " '.',\n", @@ -1515,12 +2088,12 @@ " 'O',\n", " 'U',\n", " 'R',\n", - " '#',\n", - " '#',\n", + " '█',\n", + " '█',\n", " '.',\n", " 'G',\n", " '.',\n", - " '-',\n", + " '=',\n", " '.',\n", " '.',\n", " '.',\n", @@ -1528,13 +2101,13 @@ " 'E',\n", " '.',\n", " 'C',\n", - " '-',\n", + " '=',\n", " '.',\n", " '.',\n", " 'I',\n", - " '#',\n", - " '#',\n", - " ';',\n", + " '█',\n", + " '█',\n", + " '∴',\n", " 'A',\n", " '.',\n", " '.',\n", @@ -1549,8 +2122,8 @@ " 'A',\n", " 'R',\n", " 'D',\n", - " '#',\n", - " '#',\n", + " '█',\n", + " '█',\n", " '.',\n", " 'V',\n", " 'I',\n", @@ -1560,14 +2133,14 @@ " 'e',\n", " 'N',\n", " 'T',\n", - " ';',\n", + " '∴',\n", " 'I',\n", " '.',\n", " '.',\n", - " '-',\n", + " '=',\n", " 'L',\n", - " '#',\n", - " '#',\n", + " '█',\n", + " '█',\n", " '.',\n", " 'E',\n", " ':',\n", @@ -1579,29 +2152,29 @@ " 'E',\n", " '.',\n", " 'L',\n", - " 'Y',\n", - " 'T',\n", - " 'H',\n", + " '.',\n", + " ':',\n", + " '.',\n", " 'E',\n", - " '#',\n", - " '#',\n", + " '█',\n", + " '█',\n", + " '≡',\n", + " '.',\n", + " '.',\n", + " '∴',\n", + " 'E',\n", + " '.',\n", + " '.',\n", " '=',\n", - " '.',\n", - " '.',\n", - " ';',\n", - " 'E',\n", - " '.',\n", - " '.',\n", - " '-',\n", " 'R',\n", " 'E',\n", " 'D',\n", - " ';',\n", + " '∴',\n", " '.',\n", " '.',\n", " 'S',\n", - " '#',\n", - " '#',\n", + " '█',\n", + " '█',\n", " '.',\n", " ':',\n", " '.',\n", @@ -1617,61 +2190,61 @@ " '.',\n", " ':',\n", " '.',\n", - " '#',\n", - " '#',\n", + " '█',\n", + " '█',\n", " '.',\n", " '.',\n", " ':',\n", " '.',\n", " '.',\n", - " '-',\n", + " '=',\n", " '.',\n", " '.',\n", " '.',\n", - " '-',\n", + " '=',\n", " 'E',\n", " '.',\n", " ':',\n", " '.',\n", " '.',\n", - " '#',\n", - " '#',\n", + " '█',\n", + " '█',\n", " '.',\n", " '.',\n", " '.',\n", - " '=',\n", + " '≡',\n", " '.',\n", " '.',\n", - " ';',\n", + " '∴',\n", " '.',\n", - " ';',\n", + " '∴',\n", " '.',\n", " 'N',\n", - " '=',\n", + " '≡',\n", " '.',\n", " '.',\n", " '.',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#']" + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█']" ] }, - "execution_count": 22, + "execution_count": 17, "metadata": {}, "output_type": "execute_result" } @@ -1684,7 +2257,6 @@ " Play(158, DOWN, 'MUSES', ''),\n", " Play(172, ACROSS, 'VIRULeNT', ''),\n", " Play(213, ACROSS, 'RED', ''),\n", - " Play(198, ACROSS, 'LYTHE', ''),\n", " Play(147, DOWN, 'CHILDREN', ''),\n", " Play(164, ACROSS, 'HEARD', ''),\n", " Play(117, DOWN, 'BRIDLES', ''),\n", @@ -1707,338 +2279,17 @@ } }, "source": [ - "# Strategy for Finding Legal Plays\n", + "# Strategy for Finding All Legal Plays\n", "\n", "This is our strategy for finding all possible legal plays on a board:\n", "\n", "1. Find all *anchor squares* on the board. An anchor square is an empty square that is adjacent to a letter on the board—every legal move must place a letter on an anchor square. (One exception: on the game's first play, there are no letters on the board, and the `STAR` square in the center counts as the only anchor square.)\n", - "2. Using just the letters in the rack, find all *prefixes* of words in the dictionary. For example, with the rack `ABC`, we find that `B`, `BA`, and `BAC` are all prefixes of the word `BACK` (and the rack contains other prefixes of other words as well).\n", + "2. Using just the letters in the rack, find all *prefixes* of words in the dictionary. For example, with the rack `ABC`, we find that `B`, `BA`, and `BAC` are all prefixes of the word `BACK` (and the rack contains other prefixes of other words as well, such as `CA` and `CAB`).\n", "3. For each anchor square and for both directions (across and down):\n", " - Try each prefix before the anchor (that is, to the left or above the anchor). Don't allow a prefix to extend to another anchor or off the board. That means we won't have to worry about *cross words* for the prefix. If there are already letters on the board before the anchor point, use them as the (only possible) prefix rather than using the prefixes from the rack. For each prefix that fits:\n", - " - Starting at the anchor, march forward (or down) one square at a time, trying to fill empty squares with each possible letter from the rack that forms a valid prefix of a word in the dictionary. If the march forward hits letters that are already on the board, make sure they form a valid prefix too. Also check that any cross words are valid words. When we make a complete word (with an empty or `OFF` square ahead), yield the play that made the word.\n", + " - Starting at the anchor, march across (or down) one square at a time, trying to fill empty squares with each possible letter from the rack that forms a valid prefix of a word in the dictionary. If the march hits letters that are already on the board, make sure they form a valid prefix too. Also check that any cross words are valid words. When we make a complete word (with an empty or `OFF` square ahead), yield the play that made the word.\n", " \n", - "So, each legal play will have zero or more prefix letters (which either all come from the rack or all were already on the board), followed by one letter from the rack covering an anchor square, followed by zero or more additional letters (which can be a mix of letters from the rack and letters already on the board), followed by an empty or `OFF` square." - ] - }, - { - "cell_type": "markdown", - "metadata": { - "button": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "source": [ - "# Prefixes\n", - "\n", - "Here we define the set of all prefixes of all words in the dictionary, and investigate the set:" - ] - }, - { - "cell_type": "code", - "execution_count": 23, - "metadata": { - "button": false, - "collapsed": true, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "outputs": [], - "source": [ - "def dict_prefixes(dictionary) -> set:\n", - " \"The set of all prefixes of each word in a dictionary.\"\n", - " return {word[:i] for word in dictionary for i in range(len(word))}\n", - "\n", - "PREFIXES = dict_prefixes(DICTIONARY)" - ] - }, - { - "cell_type": "code", - "execution_count": 24, - "metadata": { - "button": false, - "collapsed": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "outputs": [ - { - "data": { - "text/plain": [ - "276374" - ] - }, - "execution_count": 24, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "len(PREFIXES)" - ] - }, - { - "cell_type": "code", - "execution_count": 25, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "1.5992014813100335" - ] - }, - "execution_count": 25, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "len(PREFIXES) / len(DICTIONARY)" - ] - }, - { - "cell_type": "code", - "execution_count": 26, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "['TOASTM',\n", - " 'SYNTAX',\n", - " 'BOOGEYM',\n", - " 'MASSAS',\n", - " 'TONS',\n", - " 'PYROT',\n", - " 'ETHNOCENTRICIT',\n", - " 'TROOPIA',\n", - " 'EVENTFULNES',\n", - " 'PENITENTIA']" - ] - }, - "execution_count": 26, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "random.sample(PREFIXES, 10)" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "button": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "source": [ - "Here are all the prefixes from a tiny dictionary of three words. Note that the empty string is a prefix, and we include `HELP` because it is a prefix of `HELPER`, but we don't include `HELPER`, because there is no letter we can add to `HELPER` to make a word in this dictionary:" - ] - }, - { - "cell_type": "code", - "execution_count": 27, - "metadata": { - "button": false, - "collapsed": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "outputs": [ - { - "data": { - "text/plain": [ - "{'', 'H', 'HE', 'HEL', 'HELL', 'HELP', 'HELPE'}" - ] - }, - "execution_count": 27, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "dict_prefixes({'HELLO', 'HELP', 'HELPER'})" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "button": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "source": [ - "The function `rack_prefixes` gives the set of prefixes that can be made just from the letters in the rack. Most of the work is done by `extend_prefixes`, which accumulates a set of prefixes into `results`:" - ] - }, - { - "cell_type": "code", - "execution_count": 28, - "metadata": { - "button": false, - "collapsed": true, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "outputs": [], - "source": [ - "def rack_prefixes(rack) -> set: \n", - " \"All word prefixes that can be made by the rack.\"\n", - " return extend_prefixes('', rack, set())\n", - "\n", - "def extend_prefixes(prefix, rack, results) -> set:\n", - " if prefix.upper() in PREFIXES:\n", - " results.add(prefix)\n", - " for L in letters(rack):\n", - " extend_prefixes(prefix+L, remove(L, rack), results)\n", - " return results" - ] - }, - { - "cell_type": "code", - "execution_count": 29, - "metadata": { - "button": false, - "collapsed": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "outputs": [ - { - "data": { - "text/plain": [ - "{'', 'A', 'AB', 'AC', 'B', 'BA', 'BAC', 'C', 'CA', 'CAB'}" - ] - }, - "execution_count": 29, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "rack = 'ABC'\n", - "rack_prefixes(rack)" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "button": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "source": [ - "The number of prefixes in a rack is usually on the order of a hundred, unless there is a blank in the rack:" - ] - }, - { - "cell_type": "code", - "execution_count": 30, - "metadata": { - "button": false, - "collapsed": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "outputs": [ - { - "data": { - "text/plain": [ - "155" - ] - }, - "execution_count": 30, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "len(rack_prefixes('LETTERS'))" - ] - }, - { - "cell_type": "code", - "execution_count": 31, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "120" - ] - }, - "execution_count": 31, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "len(rack_prefixes('HJRIPUM'))" - ] - }, - { - "cell_type": "code", - "execution_count": 32, - "metadata": { - "button": false, - "collapsed": false, - "deletable": true, - "new_sheet": false, - "run_control": { - "read_only": false - } - }, - "outputs": [ - { - "data": { - "text/plain": [ - "1590" - ] - }, - "execution_count": 32, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "len(rack_prefixes('LETTER_'))" + "So, each legal play will have zero or more prefix letters (which either all come from the rack or all were already on the board), followed by one letter from the rack covering an anchor square, followed by zero or more additional letters (which can be a mix of letters from the rack and letters already on the board). A legal play must be proceeded and followed by either an empty or `OFF` square." ] }, { @@ -2059,7 +2310,7 @@ }, { "cell_type": "code", - "execution_count": 33, + "execution_count": 18, "metadata": { "button": false, "collapsed": false, @@ -2083,7 +2334,7 @@ }, { "cell_type": "code", - "execution_count": 34, + "execution_count": 19, "metadata": { "button": false, "collapsed": false, @@ -2100,7 +2351,7 @@ "[144]" ] }, - "execution_count": 34, + "execution_count": 19, "metadata": {}, "output_type": "execute_result" } @@ -2121,14 +2372,35 @@ } }, "source": [ - "# Plays on Example Board\n", + "# Prefixes\n", "\n", - "Let's work through the process of finding plays on the example `board`. First, we'll find all the anchors:" + "Here we define the set of all prefixes of all words in the dictionary, and investigate the set:" ] }, { "cell_type": "code", - "execution_count": 35, + "execution_count": 20, + "metadata": { + "button": false, + "collapsed": true, + "deletable": true, + "new_sheet": false, + "run_control": { + "read_only": false + } + }, + "outputs": [], + "source": [ + "def dict_prefixes(dictionary) -> set:\n", + " \"The set of all prefixes of each word in a dictionary.\"\n", + " return {word[:i] for word in dictionary for i in range(len(word))}\n", + "\n", + "PREFIXES = dict_prefixes(DICTIONARY)" + ] + }, + { + "cell_type": "code", + "execution_count": 21, "metadata": { "button": false, "collapsed": false, @@ -2142,10 +2414,347 @@ { "data": { "text/plain": [ - "53" + "276374" ] }, - "execution_count": 35, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "len(PREFIXES)" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "['REDRAWER',\n", + " 'TRIVE',\n", + " 'MENT',\n", + " 'CORPO',\n", + " 'TALESME',\n", + " 'DAVENPO',\n", + " 'TEMPORIZATIO',\n", + " 'PLURA',\n", + " 'CRUP',\n", + " 'SPOOR']" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "random.sample(PREFIXES, 10)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "button": false, + "deletable": true, + "new_sheet": false, + "run_control": { + "read_only": false + } + }, + "source": [ + "Here are all the prefixes from a tiny dictionary of three words. Note that the empty string is a prefix, and `HELP` is included because it is a prefix of `HELPER`, but `HELPER` is not included because there is no letter we can add to `HELPER` to make a word in this dictionary:" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "button": false, + "collapsed": false, + "deletable": true, + "new_sheet": false, + "run_control": { + "read_only": false + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "{'', 'H', 'HE', 'HEL', 'HELL', 'HELP', 'HELPE'}" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "dict_prefixes({'HELLO', 'HELP', 'HELPER'})" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "button": false, + "deletable": true, + "new_sheet": false, + "run_control": { + "read_only": false + } + }, + "source": [ + "The function `rack_prefixes` gives the set of prefixes that can be made just from the letters in the rack (returning them in shortest-first order). Most of the work is done by `extend_prefixes`, which accumulates a set of prefixes into `results`. The function `remove(tiles, rack)` removes letters from a rack (after they have been played)." + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "button": false, + "collapsed": true, + "deletable": true, + "new_sheet": false, + "run_control": { + "read_only": false + } + }, + "outputs": [], + "source": [ + "def rack_prefixes(rack) -> set: \n", + " \"All word prefixes that can be made by the rack.\"\n", + " return sorted(set(extend_prefixes('', rack, set())), key=len)\n", + "\n", + "def extend_prefixes(prefix, rack, results) -> set:\n", + " \"Add possible prefixes to `results`.\"\n", + " if prefix.upper() in PREFIXES:\n", + " results.add(prefix)\n", + " for L in letters(rack):\n", + " extend_prefixes(prefix+L, remove(L, rack), results)\n", + " return results\n", + "\n", + "def remove(tiles, rack) -> str:\n", + " \"Return a copy of rack with the given tile(s) removed.\"\n", + " for tile in tiles:\n", + " if tile.islower(): tile = BLANK\n", + " rack = rack.replace(tile, '', 1)\n", + " return rack" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "button": false, + "collapsed": false, + "deletable": true, + "new_sheet": false, + "run_control": { + "read_only": false + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "['', 'A', 'B', 'C', 'BA', 'AB', 'CA', 'AC', 'CAB', 'BAC']" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "rack = 'ABC'\n", + "rack_prefixes(rack)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "button": false, + "deletable": true, + "new_sheet": false, + "run_control": { + "read_only": false + } + }, + "source": [ + "The number of prefixes in a rack is usually on the order of a hundred or two:" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": { + "button": false, + "collapsed": false, + "deletable": true, + "new_sheet": false, + "run_control": { + "read_only": false + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "155" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "len(rack_prefixes('LETTERS'))" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "196" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "len(rack_prefixes('ERYINNA'))" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "178" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "len(rack_prefixes('XNMNAIE'))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Unless there is a blank in the rack, in which case it is more like a thousand or two:" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "button": false, + "collapsed": false, + "deletable": true, + "new_sheet": false, + "run_control": { + "read_only": false + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "1590" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "len(rack_prefixes('LETTER_'))" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "1809" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "len(rack_prefixes('ERYINN_'))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "button": false, + "deletable": true, + "new_sheet": false, + "run_control": { + "read_only": false + } + }, + "source": [ + "# Plays on Example Board\n", + "\n", + "Let's work through the process of finding plays on the example `board`. First, we'll find all the anchors:" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": { + "button": false, + "collapsed": false, + "deletable": true, + "new_sheet": false, + "run_control": { + "read_only": false + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "54" + ] + }, + "execution_count": 31, "metadata": {}, "output_type": "execute_result" } @@ -2171,7 +2780,7 @@ }, { "cell_type": "code", - "execution_count": 36, + "execution_count": 32, "metadata": { "button": false, "collapsed": false, @@ -2185,95 +2794,320 @@ { "data": { "text/html": [ - "
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" '.',\n", - " '.',\n", - " ':',\n", - " '.',\n", - " '.',\n", - " '#',\n", - " '#',\n", - " '.',\n", - " ':',\n", - " '.',\n", - " '.',\n", - " ':',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " ':',\n", - " '.',\n", - " '.',\n", - " ':',\n", - " '.',\n", - " '#',\n", - " '#',\n", " '=',\n", " '.',\n", " '.',\n", - " ';',\n", + " ':',\n", + " '.',\n", + " '.',\n", + " '█',\n", + " '█',\n", + " '.',\n", + " ':',\n", + " '.',\n", + " '.',\n", + " ':',\n", " '.',\n", " '.',\n", " '.',\n", - " '-',\n", " '.',\n", " '.',\n", + " ':',\n", + " '.',\n", + " '.',\n", + " ':',\n", + " '.',\n", + " '█',\n", + " '█',\n", + " '≡',\n", + " '.',\n", + " '.',\n", + " '∴',\n", " '.',\n", - " ';',\n", " '.',\n", " '.',\n", " '=',\n", - " '#',\n", - " '#',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " '∴',\n", + " '.',\n", + " '.',\n", + " '≡',\n", + " '█',\n", + " '█',\n", " '.',\n", " '.',\n", " ':',\n", @@ -2289,26 +3123,26 @@ " ':',\n", " '.',\n", " '*',\n", - " '#',\n", - " '#',\n", + " '█',\n", + " '█',\n", " '.',\n", - " '-',\n", + " '=',\n", " '.',\n", " '.',\n", " '.',\n", - " ';',\n", + " '∴',\n", " '.',\n", " '.',\n", " '.',\n", - " ';',\n", + " '∴',\n", " '.',\n", " '*',\n", " '*',\n", " '*',\n", " 'B',\n", - " '#',\n", - " '#',\n", - " ';',\n", + " '█',\n", + " '█',\n", + " '∴',\n", " '*',\n", " '.',\n", " '.',\n", @@ -2323,12 +3157,12 @@ " 'O',\n", " 'U',\n", " 'R',\n", - " '#',\n", - " '#',\n", + " '█',\n", + " '█',\n", " '*',\n", " 'G',\n", " '*',\n", - " '-',\n", + " '=',\n", " '*',\n", " '.',\n", " '*',\n", @@ -2340,8 +3174,8 @@ " '*',\n", " '*',\n", " 'I',\n", - " '#',\n", - " '#',\n", + " '█',\n", + " '█',\n", " '*',\n", " 'A',\n", " '*',\n", @@ -2357,8 +3191,8 @@ " 'A',\n", " 'R',\n", " 'D',\n", - " '#',\n", - " '#',\n", + " '█',\n", + " '█',\n", " '*',\n", " 'V',\n", " 'I',\n", @@ -2374,8 +3208,8 @@ " '*',\n", " '*',\n", " 'L',\n", - " '#',\n", - " '#',\n", + " '█',\n", + " '█',\n", " '*',\n", " 'E',\n", " '*',\n", @@ -2387,13 +3221,13 @@ " 'E',\n", " '*',\n", " 'L',\n", - " 'Y',\n", - " 'T',\n", - " 'H',\n", + " '*',\n", + " ':',\n", + " '*',\n", " 'E',\n", - " '#',\n", - " '#',\n", - " '=',\n", + " '█',\n", + " '█',\n", + " '≡',\n", " '*',\n", " '.',\n", " '*',\n", @@ -2405,11 +3239,11 @@ " 'E',\n", " 'D',\n", " '*',\n", - " '*',\n", + " '.',\n", " '*',\n", " 'S',\n", - " '#',\n", - " '#',\n", + " '█',\n", + " '█',\n", " '.',\n", " ':',\n", " '.',\n", @@ -2425,14 +3259,14 @@ " '.',\n", " ':',\n", " '*',\n", - " '#',\n", - " '#',\n", + " '█',\n", + " '█',\n", " '.',\n", " '.',\n", " ':',\n", " '.',\n", " '*',\n", - " '-',\n", + " '=',\n", " '.',\n", " '.',\n", " '.',\n", @@ -2442,44 +3276,44 @@ " ':',\n", " '.',\n", " '.',\n", - " '#',\n", - " '#',\n", + " '█',\n", + " '█',\n", " '.',\n", " '.',\n", " '.',\n", - " '=',\n", + " '≡',\n", " '.',\n", " '.',\n", - " ';',\n", + " '∴',\n", " '.',\n", - " ';',\n", + " '∴',\n", " '*',\n", " 'N',\n", " '*',\n", " '.',\n", " '.',\n", " '.',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - 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" '#',\n", - " '#',\n", + " '█',\n", + " '█',\n", " '.',\n", " 'E',\n", " ':',\n", @@ -3802,29 +5536,29 @@ " 'E',\n", " '.',\n", " 'L',\n", - " 'Y',\n", - " 'T',\n", - " 'H',\n", + " '.',\n", + " ':',\n", + " '.',\n", " 'E',\n", - " '#',\n", - " '#',\n", + " '█',\n", + " '█',\n", + " '≡',\n", + " '.',\n", + " '.',\n", + " '∴',\n", + " 'E',\n", + " '.',\n", + " '.',\n", " '=',\n", - " '.',\n", - " '.',\n", - " ';',\n", - " 'E',\n", - " '.',\n", - " '.',\n", - " '-',\n", " 'R',\n", " 'E',\n", " 'D',\n", - " ';',\n", + " '∴',\n", " '.',\n", " '.',\n", " 'S',\n", - " '#',\n", - " '#',\n", + " '█',\n", + " '█',\n", " '.',\n", " ':',\n", " '.',\n", @@ -3840,68 +5574,68 @@ " '.',\n", " ':',\n", " '.',\n", - " '#',\n", - " '#',\n", + " '█',\n", + " '█',\n", " '.',\n", " '.',\n", " ':',\n", " '.',\n", " '.',\n", - " '-',\n", + " '=',\n", " '.',\n", " '.',\n", " '.',\n", - " '-',\n", + " '=',\n", " 'E',\n", " '.',\n", " ':',\n", " '.',\n", " '.',\n", - " '#',\n", - " '#',\n", + " '█',\n", + " '█',\n", " '.',\n", " '.',\n", " '.',\n", - 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" '#',\n", + " '█',\n", + " '█',\n", " '.',\n", - " '-',\n", + " '=',\n", " '.',\n", " '.',\n", " '.',\n", - " ';',\n", + " '∴',\n", " '.',\n", " '.',\n", " '.',\n", - " ';',\n", + " '∴',\n", " '.',\n", " '.',\n", " '.',\n", - " '-',\n", + " '=',\n", " 'B',\n", - " '#',\n", - " '#',\n", - " ';',\n", + " '█',\n", + " '█',\n", + " '∴',\n", " '.',\n", " '.',\n", " '.',\n", @@ -4073,8 +6032,8 @@ " 'O',\n", " 'U',\n", " 'R',\n", - " '#',\n", - " '#',\n", + " '█',\n", + " '█',\n", " '.',\n", " 'G',\n", " '.',\n", @@ -4086,13 +6045,13 @@ " 'E',\n", " 'N',\n", " 'C',\n", - " '-',\n", + " '=',\n", " '.',\n", " '.',\n", " 'I',\n", - " '#',\n", - " '#',\n", - " ';',\n", + " '█',\n", + " '█',\n", + " '∴',\n", " 'A',\n", " '.',\n", " '.',\n", @@ -4107,8 +6066,8 @@ " 'A',\n", " 'R',\n", " 'D',\n", - " '#',\n", - " '#',\n", + " '█',\n", + " '█',\n", " '.',\n", " 'V',\n", " 'I',\n", @@ -4118,14 +6077,14 @@ " 'e',\n", " 'N',\n", " 'T',\n", - " ';',\n", + " '∴',\n", " 'I',\n", " '.',\n", " '.',\n", - " '-',\n", + " '=',\n", " 'L',\n", - 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" '#',\n", + " '█',\n", + " '█',\n", " '.',\n", - " '-',\n", + " '=',\n", " '.',\n", " '.',\n", " '.',\n", - " ';',\n", + " '∴',\n", " '.',\n", " '.',\n", " '.',\n", - " ';',\n", + " '∴',\n", " '.',\n", " '.',\n", " '.',\n", - " '-',\n", + " '=',\n", " 'B',\n", - " '#',\n", - " '#',\n", - " ';',\n", + " '█',\n", + " '█',\n", + " '∴',\n", " '.',\n", " '.',\n", " '.',\n", @@ -4408,8 +6592,8 @@ " 'O',\n", " 'U',\n", " 'R',\n", - " '#',\n", - " '#',\n", + " '█',\n", + " '█',\n", " '.',\n", " 'G',\n", " '.',\n", @@ -4425,9 +6609,9 @@ " '.',\n", " '.',\n", " 'I',\n", - " '#',\n", - " '#',\n", - " ';',\n", + " '█',\n", + " '█',\n", + " '∴',\n", " 'A',\n", " '.',\n", " '.',\n", @@ -4442,8 +6626,8 @@ " 'A',\n", " 'R',\n", " 'D',\n", - " '#',\n", - " '#',\n", + " '█',\n", + " '█',\n", " '.',\n", " 'V',\n", " 'I',\n", @@ -4453,14 +6637,14 @@ " 'e',\n", " 'N',\n", " 'T',\n", - " ';',\n", + " '∴',\n", " 'I',\n", " '.',\n", " '.',\n", - " '-',\n", + " '=',\n", " 'L',\n", - " '#',\n", - " '#',\n", + " '█',\n", + " '█',\n", " '.',\n", " 'E',\n", " ':',\n", @@ -4472,29 +6656,29 @@ " 'E',\n", " '.',\n", " 'L',\n", - 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" '=',\n", + " '≡',\n", " '.',\n", " '.',\n", " '.',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#']" + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█']" ] }, - "execution_count": 44, + "execution_count": 40, "metadata": {}, "output_type": "execute_result" } @@ -4595,7 +6779,7 @@ }, { "cell_type": "code", - "execution_count": 45, + "execution_count": 41, "metadata": { "button": false, "collapsed": true, @@ -4637,7 +6821,7 @@ }, { "cell_type": "code", - "execution_count": 46, + "execution_count": 42, "metadata": { "button": false, "collapsed": false, @@ -4657,8 +6841,9 @@ " else: # Prefixes from rack fit in space before anchor\n", " maxlen = (anchor - scan_to_anchor(board, anchor, -dir)) // dir\n", " for prefix in prefixes:\n", - " if len(prefix) <= maxlen:\n", - " yield Play(anchor - len(prefix) * dir, dir, prefix, remove(prefix, rack))" + " if len(prefix) > maxlen:\n", + " return\n", + " yield Play(anchor - len(prefix) * dir, dir, prefix, remove(prefix, rack))" ] }, { @@ -4677,7 +6862,7 @@ }, { "cell_type": "code", - "execution_count": 47, + "execution_count": 43, "metadata": { "button": false, "collapsed": true, @@ -4735,7 +6920,7 @@ }, { "cell_type": "code", - "execution_count": 48, + "execution_count": 44, "metadata": { "button": false, "collapsed": true, @@ -4758,7 +6943,7 @@ "\n", "def valid_crossword(cword, L) -> bool:\n", " \"Is placing letter L valid (with respective to the crossword)?\"\n", - " return len(cword) == 1 or cword.replace('.', L).upper() in DICTIONARY\n", + " return len(cword) == 1 or is_word(cword.replace('.', L))\n", "\n", "def other(dir, board) -> Direction:\n", " \"The other direction (across/down) on the board.\"\n", @@ -4767,7 +6952,7 @@ }, { "cell_type": "code", - "execution_count": 49, + "execution_count": 45, "metadata": { "button": false, "collapsed": false, @@ -4784,7 +6969,7 @@ "'.MUSES'" ] }, - "execution_count": 49, + "execution_count": 45, "metadata": {}, "output_type": "execute_result" } @@ -4795,7 +6980,7 @@ }, { "cell_type": "code", - "execution_count": 50, + "execution_count": 46, "metadata": { "button": false, "collapsed": false, @@ -4812,7 +6997,7 @@ "'T.E'" ] }, - "execution_count": 50, + "execution_count": 46, "metadata": {}, "output_type": "execute_result" } @@ -4837,7 +7022,7 @@ }, { "cell_type": "code", - "execution_count": 51, + "execution_count": 47, "metadata": { "button": false, "collapsed": false, @@ -4854,7 +7039,7 @@ "True" ] }, - "execution_count": 51, + "execution_count": 47, "metadata": {}, "output_type": "execute_result" } @@ -4879,7 +7064,7 @@ }, { "cell_type": "code", - "execution_count": 52, + "execution_count": 48, "metadata": { "button": false, "collapsed": false, @@ -4903,7 +7088,7 @@ " Play(start=141, dir=1, letters='', rack='ABCHKNQ')}" ] }, - "execution_count": 52, + "execution_count": 48, "metadata": {}, "output_type": "execute_result" } @@ -4928,7 +7113,7 @@ }, { "cell_type": "code", - "execution_count": 53, + "execution_count": 49, "metadata": { "button": false, "collapsed": false, @@ -4948,7 +7133,7 @@ " Play(start=140, dir=1, letters='BAN', rack='CHKQ')}" ] }, - "execution_count": 53, + "execution_count": 49, "metadata": {}, "output_type": "execute_result" } @@ -4970,12 +7155,12 @@ "source": [ "# Scoring\n", "\n", - "Now we'll show how to count up the points made by a play. The score is the sum of the word score for the play, plus a bingo score if all seven letters are used, plus the sum of the word scores for any cross words. The word score is the sum of the letter scores (where each letter score may be doubled or tripled by a bonus square when the letter is first played on the square), all multiplied by any word bonus(es) encountered by the newly-placed letters." + "Now we'll show how to count up the points made by a play. The score is the sum of the word score for the play, plus the sum of the word scores for any cross words, plus a bingo score if all seven letters are used. The word score is the sum of the letter scores (where each letter score may be doubled or tripled by a bonus square when the letter is first played on the square), all multiplied by any word bonus(es) encountered by the newly-placed letters." ] }, { "cell_type": "code", - "execution_count": 54, + "execution_count": 50, "metadata": { "button": false, "collapsed": false, @@ -5025,7 +7210,7 @@ }, { "cell_type": "code", - "execution_count": 55, + "execution_count": 51, "metadata": { "button": false, "collapsed": false, @@ -5043,8 +7228,8 @@ " \n", "def enumerate_play(play) -> list:\n", " \"List (square_number, letter) pairs for each tile in the play.\"\n", - " return [(play.start + i * play.dir, L) \n", - " for (i, L) in enumerate(play.letters)]\n", + " return [(play.start + i * play.dir, play.letters[i]) \n", + " for i in range(len(play.letters))]\n", " \n", "def cross_plays(board, play):\n", " \"Generate all plays for words that cross this play.\"\n", @@ -5072,7 +7257,7 @@ }, { "cell_type": "code", - "execution_count": 56, + "execution_count": 52, "metadata": { "button": false, "collapsed": false, @@ -5089,7 +7274,7 @@ "116" ] }, - "execution_count": 56, + "execution_count": 52, "metadata": {}, "output_type": "execute_result" } @@ -5114,7 +7299,7 @@ }, { "cell_type": "code", - "execution_count": 57, + "execution_count": 53, "metadata": { "button": false, "collapsed": true, @@ -5133,7 +7318,7 @@ }, { "cell_type": "code", - "execution_count": 58, + "execution_count": 54, "metadata": { "button": false, "collapsed": false, @@ -5150,7 +7335,7 @@ "Play(start=140, dir=1, letters='BACKBENCH', rack='Q')" ] }, - "execution_count": 58, + "execution_count": 54, "metadata": {}, "output_type": "execute_result" } @@ -5161,7 +7346,7 @@ }, { "cell_type": "code", - "execution_count": 59, + "execution_count": 55, "metadata": { "button": false, "collapsed": false, @@ -5175,95 +7360,320 @@ { "data": { "text/html": [ - "
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" '.',\n", - " '.',\n", - " ':',\n", - " '.',\n", - " '.',\n", - " '#',\n", - " '#',\n", - " '.',\n", - " ':',\n", - " '.',\n", - " '.',\n", - " ':',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " ':',\n", - " '.',\n", - " '.',\n", - " ':',\n", - " '.',\n", - " '#',\n", - " '#',\n", " '=',\n", " '.',\n", " '.',\n", - " ';',\n", + " ':',\n", + " '.',\n", + " '.',\n", + " '█',\n", + " '█',\n", + " '.',\n", + " ':',\n", + " '.',\n", + " '.',\n", + " ':',\n", " '.',\n", " '.',\n", " '.',\n", - " '-',\n", " '.',\n", " '.',\n", + " ':',\n", + " '.',\n", + " '.',\n", + " ':',\n", + " '.',\n", + " '█',\n", + " '█',\n", + " '≡',\n", + " '.',\n", + " '.',\n", + " '∴',\n", " '.',\n", - " ';',\n", " '.',\n", " '.',\n", " '=',\n", - " '#',\n", - " '#',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " '∴',\n", + " '.',\n", + " '.',\n", + " '≡',\n", + " '█',\n", + " '█',\n", " '.',\n", " '.',\n", " ':',\n", @@ -5279,26 +7689,26 @@ " ':',\n", " '.',\n", " '.',\n", - " '#',\n", - " '#',\n", + " '█',\n", + " '█',\n", " '.',\n", - " '-',\n", + " '=',\n", " '.',\n", " '.',\n", " '.',\n", - " ';',\n", + " '∴',\n", " '.',\n", " '.',\n", " '.',\n", - " ';',\n", + " '∴',\n", " '.',\n", " '.',\n", " '.',\n", - " '-',\n", + " '=',\n", " 'B',\n", - " '#',\n", - " '#',\n", - " ';',\n", + " '█',\n", + " '█',\n", + " '∴',\n", " '.',\n", " '.',\n", " '.',\n", @@ -5313,8 +7723,8 @@ " 'O',\n", " 'U',\n", " 'R',\n", - " '#',\n", - " '#',\n", + " '█',\n", + " '█',\n", " '.',\n", " 'G',\n", " '.',\n", @@ -5330,9 +7740,9 @@ " '.',\n", " '.',\n", " 'I',\n", - " '#',\n", - " '#',\n", - " ';',\n", + " '█',\n", + " '█',\n", + " '∴',\n", " 'A',\n", " '.',\n", " '.',\n", @@ -5347,8 +7757,8 @@ " 'A',\n", " 'R',\n", " 'D',\n", - " '#',\n", - " '#',\n", + " '█',\n", + " '█',\n", " '.',\n", " 'V',\n", " 'I',\n", @@ -5358,14 +7768,14 @@ " 'e',\n", " 'N',\n", " 'T',\n", - " ';',\n", + " '∴',\n", " 'I',\n", " '.',\n", " '.',\n", - " '-',\n", + " '=',\n", " 'L',\n", - " '#',\n", - " '#',\n", + " '█',\n", + " '█',\n", " '.',\n", " 'E',\n", " ':',\n", @@ -5377,29 +7787,29 @@ " 'E',\n", " '.',\n", " 'L',\n", - " 'Y',\n", - " 'T',\n", - " 'H',\n", + " '.',\n", + " ':',\n", + " '.',\n", " 'E',\n", - " '#',\n", - " '#',\n", + " '█',\n", + " '█',\n", + " '≡',\n", + " '.',\n", + " '.',\n", + " '∴',\n", + " 'E',\n", + " '.',\n", + " '.',\n", " '=',\n", - " '.',\n", - " '.',\n", - " ';',\n", - " 'E',\n", - " '.',\n", - " '.',\n", - " '-',\n", " 'R',\n", " 'E',\n", " 'D',\n", - " ';',\n", + " '∴',\n", " '.',\n", " '.',\n", " 'S',\n", - " '#',\n", - " '#',\n", + " '█',\n", + " '█',\n", " '.',\n", " ':',\n", " '.',\n", @@ -5415,61 +7825,61 @@ " '.',\n", " ':',\n", " '.',\n", - " '#',\n", - " '#',\n", + " '█',\n", + " '█',\n", " '.',\n", " '.',\n", " ':',\n", " '.',\n", " '.',\n", - " '-',\n", + " '=',\n", " '.',\n", " '.',\n", " '.',\n", - " '-',\n", + " '=',\n", " 'E',\n", " '.',\n", " ':',\n", " '.',\n", " '.',\n", - " '#',\n", - " '#',\n", + " '█',\n", + " '█',\n", " '.',\n", " '.',\n", " '.',\n", - " '=',\n", + " '≡',\n", " '.',\n", " '.',\n", - " ';',\n", + " '∴',\n", " '.',\n", - " ';',\n", + " '∴',\n", " '.',\n", " 'N',\n", - " '=',\n", + " '≡',\n", " '.',\n", " '.',\n", " '.',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#']" + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█']" ] }, - "execution_count": 59, + "execution_count": 55, "metadata": {}, "output_type": "execute_result" } @@ -5496,7 +7906,7 @@ }, { "cell_type": "code", - "execution_count": 60, + "execution_count": 56, "metadata": { "button": false, "collapsed": false, @@ -5506,21 +7916,9 @@ "read_only": false } }, - "outputs": [ - { - "data": { - "text/plain": [ - "100" - ] - }, - "execution_count": 60, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ - "BAG = 'AAAAAAAAABBCCDDDDEEEEEEEEEEEEFFGGGHHIIIIIIIIIJKLLLLMMNNNNNNOOOOOOOOPPQRRRRRRSSSSTTTTTTUUUUVVWWXYYZ__'\n", - "len(BAG)" + "BAG = 9*'A' + 12*'E' + 9*'I' + 8*'O' + 'BBCCDDDDFFGGGHHJKLLLLMMNNNNNNPPQRRRRRRSSSSTTTTTTUUUUVVWWXYYZ__'" ] }, { @@ -5539,7 +7937,7 @@ }, { "cell_type": "code", - "execution_count": 61, + "execution_count": 57, "metadata": { "button": false, "collapsed": true, @@ -5573,15 +7971,16 @@ "def make_one_play(board, p, strategy, scores, racks, bag, verbose) -> Board:\n", " \"\"\"One player, player p, chooses a move according to the strategy.\n", " We make the move, replenish the rack, update scores, and return the new Board.\"\"\"\n", - " rack = racks[p]\n", - " play = strategy(board, racks[p])\n", + " rack = racks[p]\n", + " play = strategy(board, racks[p])\n", " racks[p] = replenish(play.rack, bag)\n", - " points = score(board, play)\n", - " scores[p] += points\n", - " board = make_play(board, play)\n", + " points = score(board, play)\n", + " is_bingo = ('(BINGO!)' if bingo(board, play) else '')\n", + " scores[p]+= points\n", + " board = make_play(board, play)\n", " if verbose:\n", - " display(HTML('Player {} with rack {} makes {}
for {} points; draws: {}; scores: {}'\n", - " .format(p, rack, play, points, racks[p], scores)),\n", + " display(HTML('Player {} with rack {} makes {}
for {} points {}; draws: {}; scores: {}'\n", + " .format(p, rack, play, points, is_bingo, racks[p], scores)),\n", " board)\n", " return board\n", "\n", @@ -5602,7 +8001,7 @@ }, { "cell_type": "code", - "execution_count": 62, + "execution_count": 58, "metadata": { "button": false, "collapsed": false, @@ -5633,7 +8032,7 @@ }, { "cell_type": "code", - "execution_count": 63, + "execution_count": 59, "metadata": { "button": false, "collapsed": false, @@ -5647,7 +8046,7 @@ { "data": { "text/html": [ - "Player 0 with rack NIEUTBT makes Play(start=144, dir=1, letters='BUTTE', rack='NI')
for 14 points; draws: NITDINC; scores: [14, 0]" + "Player 0 with rack EDOSOLB makes Play(start=144, dir=1, letters='BOODLE', rack='S')
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" - ], - "text/plain": [ - "['#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " '=',\n", - " '.',\n", - " '.',\n", - " ';',\n", - " '.',\n", - " ';',\n", - " '.',\n", - " '.',\n", - " '=',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " '#',\n", - " '#',\n", - " '.',\n", - " '.',\n", - " ':',\n", - " '.',\n", - " '.',\n", - " '-',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " '-',\n", - " '.',\n", - " '.',\n", - " ':',\n", - " '.',\n", - " '.',\n", - " '#',\n", - " '#',\n", - " '.',\n", - " ':',\n", - " '.',\n", - " '.',\n", - " ':',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " ':',\n", - " 'I',\n", - " '.',\n", - " ':',\n", - " '.',\n", - " '#',\n", - " '#',\n", - " '=',\n", - " '.',\n", - " '.',\n", - " ';',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " '-',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " 'N',\n", - " '.',\n", - " '.',\n", - " '=',\n", - " '#',\n", - " '#',\n", - " '.',\n", - " '.',\n", - " ':',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " ':',\n", - " '.',\n", - " ':',\n", - " '.',\n", - " '.',\n", - " 'C',\n", - " ':',\n", - " '.',\n", - " '.',\n", - " '#',\n", - " '#',\n", - " '.',\n", - " '-',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " ';',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " ';',\n", - " '.',\n", - " 'I',\n", - " '.',\n", - " '-',\n", - " '.',\n", - " '#',\n", - " '#',\n", - " ';',\n", + " '█',\n", + " '█',\n", + " '∴',\n", " '.',\n", " '.',\n", " '.',\n", @@ -7351,166 +8986,132 @@ " '.',\n", " '.',\n", " '.',\n", - " '.',\n", - " ':',\n", - " 'D',\n", - " '.',\n", - " '.',\n", - " ';',\n", - " '#',\n", - " '#',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " '-',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " 'B',\n", " 'U',\n", - " 'T',\n", - " 'T',\n", - " 'E',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " '#',\n", - " '#',\n", - " ';',\n", - " '.',\n", - " '.',\n", - " '.',\n", " ':',\n", " '.',\n", " '.',\n", + " '.',\n", + " '∴',\n", + " '█',\n", + " '█',\n", + " '.',\n", + " '=',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " '∴',\n", + " '.',\n", + " '.',\n", + " '.',\n", " 'I',\n", " '.',\n", " '.',\n", + " '.',\n", + " '=',\n", + " '.',\n", + " '█',\n", + " '█',\n", + " '.',\n", + " '.',\n", " ':',\n", - " 'N',\n", - " '.',\n", - " '.',\n", - " ';',\n", - " '#',\n", - " '#',\n", - " '.',\n", - " '-',\n", " '.',\n", " '.',\n", " '.',\n", - " ';',\n", + " ':',\n", " '.',\n", - " 'O',\n", - " '.',\n", - " 'F',\n", - " 'E',\n", - " 'T',\n", - " 'U',\n", + " ':',\n", " 'S',\n", " '.',\n", - " '#',\n", - " '#',\n", - " '.',\n", " '.',\n", " ':',\n", " '.',\n", " '.',\n", + " '█',\n", + " '█',\n", + " '≡',\n", " '.',\n", - " ':',\n", - " 'M',\n", - " ':',\n", + " '.',\n", + " '∴',\n", " '.',\n", " '.',\n", " '.',\n", - " ':',\n", - " '.',\n", - " '.',\n", - " '#',\n", - " '#',\n", " '=',\n", " '.',\n", + " 'T',\n", + " '.',\n", + " '∴',\n", + " '.',\n", + " '.',\n", + " '≡',\n", + " '█',\n", + " '█',\n", + " '.',\n", + " ':',\n", + " '.',\n", + " '.',\n", + " ':',\n", " '.',\n", - " ';',\n", " '.',\n", " '.',\n", " '.',\n", - " 'E',\n", - " 'O',\n", - " 'L',\n", - " 'O',\n", - " 'P',\n", " 'I',\n", - " 'l',\n", - " 'E',\n", - " '#',\n", - " '#',\n", - " '.',\n", " ':',\n", " '.',\n", " '.',\n", " ':',\n", " '.',\n", - " '.',\n", - " '.',\n", - " 'F',\n", - " 'A',\n", - " 'X',\n", + " '█',\n", + " '█',\n", " '.',\n", " '.',\n", " ':',\n", " '.',\n", - " '#',\n", - " '#',\n", - " '.',\n", - " '.',\n", - " ':',\n", - " '.',\n", - " '.',\n", - " '-',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " '-',\n", - " '.',\n", - " '.',\n", - " ':',\n", - " '.',\n", - " '.',\n", - " '#',\n", - " '#',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " '=',\n", - " '.',\n", - " '.',\n", - " ';',\n", - " '.',\n", - " ';',\n", - " '.',\n", " '.',\n", " '=',\n", " '.',\n", " '.',\n", " '.',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#']" + " 't',\n", + " '.',\n", + " '.',\n", + " ':',\n", + " '.',\n", + " '.',\n", + " '█',\n", + " '█',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " '≡',\n", + " '.',\n", + " '.',\n", + " '∴',\n", + " '.',\n", + " '∴',\n", + " 'I',\n", + " '.',\n", + " '≡',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█']" ] }, "metadata": {}, @@ -7519,7 +9120,7 @@ { "data": { "text/html": [ - "Player 0 with rack RRDACGA makes Play(start=112, dir=1, letters='CAIRD', rack='RGA')
for 28 points; draws: RGAEESA; scores: [135, 130]" + "Player 0 with rack STOYNRR makes Play(start=264, dir=1, letters='YIRR', rack='STON')
for 45 points ; draws: STONONE; scores: [63, 53]" ], "text/plain": [ "" @@ -7531,95 +9132,320 @@ { "data": { "text/html": [ - "
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" ], "text/plain": [ - "['#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", + "['█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", " '.',\n", " '.',\n", " '.',\n", - " '=',\n", + " '≡',\n", " '.',\n", " '.',\n", - " ';',\n", + " '∴',\n", " '.',\n", - " ';',\n", + " '∴',\n", + " '.',\n", + " '.',\n", + " '≡',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " '█',\n", + " '█',\n", + " '.',\n", + " '.',\n", + " ':',\n", " '.',\n", " '.',\n", " '=',\n", " '.',\n", " '.',\n", " '.',\n", - " '#',\n", - " '#',\n", - " '.',\n", - " '.',\n", - " ':',\n", - " '.',\n", - " '.',\n", - " '-',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " '-',\n", - " '.',\n", - " '.',\n", - " ':',\n", - " '.',\n", - " '.',\n", - " '#',\n", - " '#',\n", - " '.',\n", - " ':',\n", - " '.',\n", - " '.',\n", - " ':',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " ':',\n", - " 'I',\n", - " '.',\n", - " ':',\n", - " '.',\n", - " '#',\n", - " '#',\n", " '=',\n", " '.',\n", " '.',\n", - " ';',\n", + " ':',\n", + " '.',\n", + " '.',\n", + " '█',\n", + " '█',\n", + " '.',\n", + " ':',\n", + " '.',\n", + " '.',\n", + " ':',\n", " '.',\n", " '.',\n", " '.',\n", - " '-',\n", " '.',\n", " '.',\n", + " ':',\n", + " '.',\n", + " '.',\n", + " ':',\n", + " '.',\n", + " '█',\n", + " '█',\n", + " '≡',\n", + " '.',\n", + " '.',\n", + " '∴',\n", " '.',\n", - " 'N',\n", " '.',\n", " '.',\n", " '=',\n", - " '#',\n", - " '#',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " '∴',\n", + " '.',\n", + " '.',\n", + " '≡',\n", + " '█',\n", + " '█',\n", " '.',\n", " '.',\n", " ':',\n", @@ -7631,30 +9457,30 @@ " ':',\n", " '.',\n", " '.',\n", - " 'C',\n", + " '.',\n", " ':',\n", " '.',\n", " '.',\n", - " '#',\n", - " '#',\n", + " '█',\n", + " '█',\n", " '.',\n", - " '-',\n", + " '=',\n", " '.',\n", " '.',\n", " '.',\n", - " ';',\n", + " '∴',\n", " '.',\n", " '.',\n", " '.',\n", - " 'C',\n", - " 'A',\n", - " 'I',\n", - " 'R',\n", - " 'D',\n", + " '∴',\n", " '.',\n", - " '#',\n", - " '#',\n", - " ';',\n", + " '.',\n", + " '.',\n", + " '=',\n", + " '.',\n", + " '█',\n", + " '█',\n", + " '∴',\n", " '.',\n", " '.',\n", " '.',\n", @@ -7665,476 +9491,164 @@ " '.',\n", " '.',\n", " ':',\n", - " 'D',\n", - " '.',\n", - " '.',\n", - " ';',\n", - " '#',\n", - " '#',\n", " '.',\n", " '.',\n", " '.',\n", - " '-',\n", + " '∴',\n", + " '█',\n", + " '█',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " '=',\n", " '.',\n", " '.',\n", " '.',\n", " 'B',\n", - " 'U',\n", - " 'T',\n", - " 'T',\n", + " 'O',\n", + " 'O',\n", + " 'D',\n", + " 'L',\n", " 'E',\n", " '.',\n", " '.',\n", - " '.',\n", - " '#',\n", - " '#',\n", - " ';',\n", + " '█',\n", + " '█',\n", + " '∴',\n", " '.',\n", " '.',\n", " '.',\n", " ':',\n", " '.',\n", " '.',\n", + " '.',\n", + " '.',\n", + " 'U',\n", + " ':',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " '∴',\n", + " '█',\n", + " '█',\n", + " '.',\n", + " '=',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " '∴',\n", + " '.',\n", + " '.',\n", + " '.',\n", " 'I',\n", " '.',\n", " '.',\n", + " '.',\n", + " '=',\n", + " '.',\n", + " '█',\n", + " '█',\n", + " '.',\n", + " '.',\n", " ':',\n", - 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" '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#']" + " 'R',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█']" ] }, "metadata": {}, @@ -10327,7 +11805,7 @@ { "data": { "text/html": [ - "Player 1 with rack IRZDIIO makes Play(start=123, dir=17, letters='IODIZER', rack='I')
for 34 points; draws: IVUTLON; scores: [258, 277]" + "Player 1 with rack QEURLVI makes Play(start=80, dir=17, letters='QUELL', rack='RVI')
for 34 points ; draws: RVIDTHA; scores: [134, 176]" ], "text/plain": [ "" @@ -10339,61 +11817,456 @@ { "data": { "text/html": [ - "
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" ], "text/plain": [ - "['#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", + "['█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", " '.',\n", " '.',\n", " '.',\n", - " '=',\n", + " '≡',\n", " '.',\n", " '.',\n", - " ';',\n", + " '∴',\n", " '.',\n", - " ';',\n", + " '∴',\n", " '.',\n", " '.',\n", - " '=',\n", + " '≡',\n", " '.',\n", " '.',\n", " '.',\n", - " '#',\n", - " '#',\n", + " '█',\n", + " '█',\n", " '.',\n", " '.',\n", " ':',\n", " '.',\n", " '.',\n", - " '-',\n", + " '=',\n", " '.',\n", " '.',\n", " '.',\n", - " '-',\n", + " '=',\n", + " '.',\n", + " '.',\n", + " ':',\n", + " '.',\n", + " '.',\n", + " '█',\n", + " '█',\n", + " '.',\n", + " ':',\n", + " '.',\n", + " '.',\n", + " ':',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " ':',\n", + " '.',\n", + " '.',\n", + " ':',\n", + " 'B',\n", + " '█',\n", + " '█',\n", + " '≡',\n", + " '.',\n", + " '.',\n", + " '∴',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " '=',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " 'Q',\n", + " '.',\n", + " '.',\n", + " 'R',\n", + " '█',\n", + " '█',\n", + " '.',\n", + " '.',\n", + " ':',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " ':',\n", + " '.',\n", + " ':',\n", + " '.',\n", + " '.',\n", + " 'U',\n", + " ':',\n", + " '.',\n", + " 'O',\n", + " '█',\n", + " '█',\n", + " '.',\n", + " '=',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " '∴',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " '∴',\n", + " '.',\n", + " 'E',\n", + " '.',\n", + " 'O',\n", + " 'M',\n", + " '█',\n", + " '█',\n", + " '∴',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " ':',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " ':',\n", + " 'L',\n", + " '.',\n", + " 'N',\n", + " 'O',\n", + " '█',\n", + " '█',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " '=',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " 'B',\n", + " 'O',\n", + " 'O',\n", + " 'D',\n", + " 'L',\n", + " 'E',\n", + " 'S',\n", + " '.',\n", + " '█',\n", + " '█',\n", + " '∴',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " ':',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " 'U',\n", + " ':',\n", + " '.',\n", + " '.',\n", + " 'E',\n", + " 'D',\n", + " '█',\n", + " '█',\n", + " '.',\n", + " '=',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " '∴',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " 'I',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " 'T',\n", + " 'A',\n", + " '█',\n", + " '█',\n", + " '.',\n", + " '.',\n", + " ':',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " ':',\n", + " '.',\n", + " ':',\n", + " 'S',\n", + " '.',\n", + " '.',\n", + " ':',\n", + " '.',\n", + " 'W',\n", + " '█',\n", + " '█',\n", + " '≡',\n", + " '.',\n", + " '.',\n", + " '∴',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " 'L',\n", + " 'O',\n", + " 'T',\n", + " 'A',\n", + " 'H',\n", + " '.',\n", + " '.',\n", " 'K',\n", - " '.',\n", - " ':',\n", - " '.',\n", - " 'G',\n", - " '#',\n", - " '#',\n", + " '█',\n", + " '█',\n", " '.',\n", " ':',\n", " '.',\n", @@ -10403,234 +12276,64 @@ " '.',\n", " '.',\n", " '.',\n", - " '.',\n", - " 'H',\n", - " 'I',\n", - " '.',\n", - " ':',\n", - " 'R',\n", - " '#',\n", - " '#',\n", - " '=',\n", - " '.',\n", - " '.',\n", - " ';',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " '-',\n", - " '.',\n", - " '.',\n", - " 'I',\n", - " 'N',\n", - " '.',\n", - " '.',\n", - " 'E',\n", - " '#',\n", - " '#',\n", - " '.',\n", - " '.',\n", - " ':',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " ':',\n", - " '.',\n", - " ':',\n", - " '.',\n", - " '.',\n", - " 'C',\n", - " ':',\n", - " '.',\n", - " 'A',\n", - " '#',\n", - " '#',\n", - " '.',\n", - " '-',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " ';',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " 'C',\n", - " 'A',\n", - " 'I',\n", - " 'R',\n", - " 'D',\n", - " 'S',\n", - " '#',\n", - " '#',\n", - " ';',\n", - " '.',\n", - " '.',\n", " 'I',\n", " ':',\n", " '.',\n", " '.',\n", + " ':',\n", " '.',\n", + " '█',\n", + " '█',\n", " '.',\n", " '.',\n", " ':',\n", - " 'D',\n", - " '.',\n", - " '.',\n", - " 'E',\n", - " '#',\n", - " '#',\n", - " '.',\n", - " 'J',\n", - " '.',\n", - " 'O',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " 'B',\n", - " 'U',\n", - " 'T',\n", - " 'T',\n", - " 'E',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " '#',\n", - " '#',\n", - " ';',\n", - " 'E',\n", - " '.',\n", - " 'D',\n", - " ':',\n", - " '.',\n", - " '.',\n", - " 'I',\n", - " '.',\n", - " '.',\n", - " ':',\n", - " 'N',\n", - " '.',\n", - " '.',\n", - " ';',\n", - " '#',\n", - " '#',\n", - " '.',\n", - " 'L',\n", - " '.',\n", - " 'I',\n", - " '.',\n", - " 'T',\n", - " '.',\n", - " 'O',\n", - " '.',\n", - " 'F',\n", - " 'E',\n", - " 'T',\n", - " 'U',\n", - " 'S',\n", - " '.',\n", - " '#',\n", - " '#',\n", - " '.',\n", - " 'L',\n", - " ':',\n", - " 'Z',\n", - " '.',\n", - " 'A',\n", - " ':',\n", - " 'M',\n", - " ':',\n", - " '.',\n", - " '.',\n", - " '.',\n", - " ':',\n", - " '.',\n", - " '.',\n", - " '#',\n", - " '#',\n", - " 'G',\n", - " 'Y',\n", - " 'R',\n", - 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" '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#',\n", - " '#']" + " 'R',\n", + " '.',\n", + " '.',\n", + " '.',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█',\n", + " '█']" ] }, "metadata": {}, @@ -10639,7 +12342,7 @@ { "data": { "text/html": [ - "Player 0 with rack QHEBMNO makes Play(start=154, dir=17, letters='HE', rack='QBMNO')
for 28 points; draws: QBMNOVS; scores: [286, 277]" + "Player 0 with rack NEETN_A makes Play(start=190, dir=1, letters='NEATNEsS', rack='')
for 47 points (BINGO!); draws: VEXEPIL; scores: [181, 176]" ], "text/plain": [ "" @@ -10651,61 +12354,456 @@ { "data": { "text/html": [ - "
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Let's get statistics for both players over, say, 10 games:" ] }, { "cell_type": "code", - "execution_count": 64, + "execution_count": 60, "metadata": { "button": false, "collapsed": false, @@ -13182,9 +22588,9 @@ "name": "stdout", "output_type": "stream", "text": [ - "min: 278, median: 389, mean: 378.15, max: 447\n", - "CPU times: user 26.7 s, sys: 313 ms, total: 27 s\n", - "Wall time: 29.1 s\n" + "min: 307, median: 373.5, mean: 382.8, max: 459\n", + "CPU times: user 33.2 s, sys: 324 ms, total: 33.5 s\n", + "Wall time: 36.2 s\n" ] } ], @@ -13193,11 +22599,11 @@ "\n", "games = 10\n", "\n", - "scores = sorted(score for game in range(games) \n", - " for score in play_game(verbose=False))\n", + "scores = [score for game in range(games) \n", + " for score in play_game(verbose=False)]\n", "\n", "print('min: {}, median: {}, mean: {}, max: {}'.format(\n", - " min(scores), scores[games], sum(scores)/(2*games), max(scores)))" + " min(scores), median(scores), mean(scores), max(scores)))" ] }, { @@ -13218,7 +22624,7 @@ }, { "cell_type": "code", - "execution_count": 65, + "execution_count": 61, "metadata": { "button": false, "collapsed": false, @@ -13235,7 +22641,7 @@ "'ok'" ] }, - "execution_count": 65, + "execution_count": 61, "metadata": {}, "output_type": "execute_result" } @@ -13258,10 +22664,16 @@ " assert dict_prefixes({'HELLO', 'HELP', 'HELPER'}) == {\n", " '', 'H', 'HE', 'HEL', 'HELL', 'HELP', 'HELPE'}\n", " \n", - " assert rack_prefixes('ABC') == {'', 'A', 'AB', 'AC', 'B', 'BA', 'BAC', 'C', 'CA', 'CAB'}\n", + " assert set(rack_prefixes('ABC')) == {'', 'C', 'B', 'A', 'AB', 'CA', 'AC', 'BA', 'BAC', 'CAB'}\n", " assert len(rack_prefixes('LETTERS')) == 155\n", " assert len(rack_prefixes('LETTER_')) == 1590\n", " \n", + " assert remove('SET', 'EELRTTS') == 'ELRT'\n", + " remove('TREaT', 'EELRTT_') == 'EL'\n", + " \n", + " assert len(WWF) == len(SCRABBLE) == 17 * 17\n", + " assert all(sq in EMPTY or sq == OFF for sq in WWF + SCRABBLE)\n", + " \n", " DOWN = WWF.down\n", " plays = {\n", " Play(145, DOWN, 'ENTER', ''),\n", @@ -13270,7 +22682,6 @@ " Play(158, DOWN, 'MUSES', ''),\n", " Play(172, ACROSS, 'VIRULeNT', ''),\n", " Play(213, ACROSS, 'RED', ''),\n", - " Play(198, ACROSS, 'LYTHE', ''),\n", " Play(147, DOWN, 'CHILDREN', ''),\n", " Play(164, ACROSS, 'HEARD', ''),\n", " Play(117, DOWN, 'BRIDLES', ''),\n", @@ -13283,9 +22694,11 @@ " assert len(WWF) == len(board) == 17 * 17\n", " assert all_anchors(WWF) == [144]\n", " assert all_anchors(board) == [\n", - " 100, 114, 115, 116, 121, 127, 128, 130, 137, 139, 141, 143, 146, 148, 149, 150, 154, 156, 157, 159, 160, \n", - " 161, 163, 171, 180, 182, 183, 184, 188, 190, 191, 193, 194, 195, 197, 206, 208, 210, 212, 216, 217, 218, \n", - " 225, 227, 230, 231, 233, 236, 243, 248, 250, 265, 267]\n", + " 100, 114, 115, 116, 121, 127, 128, 130, 137, 139, 141, 143, \n", + " 146, 148, 149, 150, 154, 156, 157, 159, 160, 161, 163, 171, \n", + " 180, 182, 183, 184, 188, 190, 191, 193, 194, 195, 197, 199, \n", + " 201, 206, 208, 210, 212, 216, 218, 225, 227, 230, 231, 233, \n", + " 236, 243, 248, 250, 265, 267]\n", " \n", " assert crossword(board, 141, ACROSS) == '.MUSES'\n", " assert crossword(board, 148, ACROSS) == 'T.E'\n", @@ -13340,7 +22753,7 @@ "1. **Is the code easy to follow?** \n", " - I'm biased, but I think this code is easy to understand, test, and modify.\n", "2. **Does the strategy score well?** \n", - " - Yes: the mean and median are both well over 350, which is enough for [the elite club](https://www.facebook.com/WWF350Club) of high scorers. \n", + " - Yes: the mean and median scores are both over 350, which is enough for [the elite club](https://www.facebook.com/WWF350Club) of high scorers. \n", " - No: this is not quite world-champion caliber.\n", "3. **Is the code fast enough?** \n", " - It takes less than 3 seconds to play a complete game for both players; that's fast enough for me. If desired, the code could be made about 100 times faster, by using multiprocessing, by caching more information, by not building explicit lists for intermediate results (although those intermediate results make the code easier to test), by using PyPy or Cython, or by porting to another language.\n", @@ -13348,12 +22761,11 @@ " - We could give players the option of trading in tiles.\n", " - We could explore better strategies. A better strategy might:\n", " - Plan ahead to use high-scoring letters only with bonuses.\n", - " - Manage letters to increase the chance of a bingo.\n", " - Use blank tiles strategically, not greedily.\n", + " - Manage letters to increase the chance of a bingo.\n", " - Play defensively to avoid giving the opponent good chances at high scores.\n", " - Think ahead in the end game to go out before the opponent (or at least avoid being stuck with high-scoring letters in the rack).\n", " - In the end game, know which tiles have not been played and thus which ones the opponent could have.\n", - " - The display could be prettier.\n", " - The game could be interfaced to an online game server.\n", " - More complete unit tests would be great.\n", " - We could compare this program to those of the [giants](https://www.cs.cmu.edu/afs/cs/academic/class/15451-s06/www/lectures/scrabble.pdf) whose [shoulders](http://ericsink.com/downloads/faster-scrabble-gordon.pdf) we [stood](http://web.archive.org/web/20040116175427/http://www.math-info.univ-paris5.fr/~bouzy/ProjetUE3/Scrabble.pdf) [upon](http://www.gtoal.com/wordgames/scrabble.html).\n", From 6c7f16fa25214693805533f56fe15a9414aac3ac Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Sat, 7 Jul 2018 21:17:16 -0700 Subject: [PATCH 83/90] Add files via upload --- ipynb/Pickleball.ipynb | 422 +++++++++++++++++++++++++++++++++++++++++ 1 file changed, 422 insertions(+) create mode 100644 ipynb/Pickleball.ipynb diff --git a/ipynb/Pickleball.ipynb b/ipynb/Pickleball.ipynb new file mode 100644 index 0000000..206f6a0 --- /dev/null +++ b/ipynb/Pickleball.ipynb @@ -0,0 +1,422 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Scheduling a Doubles Pickleball Tournament\n", + "\n", + "My friend Steve asked for help in creating a schedule for a round-robin doubles pickleball tournament with 8 or 9 players on 2 courts. ([Pickleball](https://en.wikipedia.org/wiki/Pickleball) is a paddle/ball/net game played on a court that is smaller than tennis but larger than ping-pong.) \n", + "\n", + "To generalize: given *P* players and *C* available courts, we would like to create a **schedule**: a table where each row is a time period (a round of play), each column is a court, and each cell contains a game, which consists of two players partnered together and pitted against two other players. The preferences for the schedule are:\n", + "\n", + "- Each player should partner with each other player exactly once (or as close to that as possible).\n", + "- Fewer rounds are better (in other words, try to fill all the courts each round).\n", + "- Each player should play against each other player twice, or as close to that as possible.\n", + "- A player should not be scheduled to play two games at the same time.\n", + "\n", + "For example, here's a perfect schedule for *P*=8 players on *C*=2 courts:\n", + "\n", + " [([[1, 6], [2, 4]], [[3, 5], [7, 0]]),\n", + " ([[1, 5], [3, 6]], [[2, 0], [4, 7]]),\n", + " ([[2, 3], [6, 0]], [[4, 5], [1, 7]]),\n", + " ([[4, 6], [3, 7]], [[1, 2], [5, 0]]),\n", + " ([[1, 0], [6, 7]], [[3, 4], [2, 5]]),\n", + " ([[2, 6], [5, 7]], [[1, 4], [3, 0]]),\n", + " ([[2, 7], [1, 3]], [[4, 0], [5, 6]])]\n", + " \n", + "This means that in the first round, players 1 and 6 partner against 2 and 4 on one court, while 3 and 5 partner against 7 and 0 on the other. There are 7 rounds.\n", + "\n", + "My strategy for finding a good schedule is to use **hillclimbing**: start with an initial schedule, then repeatedly alter the schedule by swapping partners in one game with partners in another. If the altered schedule is better, keep it; if not, discard it. Repeat. \n", + "\n", + "## Coding it up\n", + "\n", + "The strategy in more detail:\n", + "\n", + "- First form all pairs of players, using `all_pairs(P)`.\n", + "- Put pairs together to form a list of games using `initial_games`.\n", + "- Use `Schedule` to create a schedule; it calls `one_round` to create each round and `scorer` to evaluate the schedule.\n", + "- Use `hillclimb` to improve the initial schedule: call `alter` to randomly alter a schedule, `Schedule` to re-allocate the games to rounds and courts, and `scorer` to check if the altered schedule's score is better.\n", + "\n", + "\n", + "\n", + "(Note: with *P* players there are *P × (P - 1) / 2* pairs of partners; this is an even number when either *P* or *P - 1* is divisible by 4, so everything works out when, say, *P*=4 or *P*=9, but for, say, *P*=10 there are 45 pairs, and so `initial_games` chooses to create 22 games, meaning that one pair of players never play together, and thus play one fewer game than everyone else.)" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import random\n", + "from itertools import combinations\n", + "from collections import Counter\n", + "\n", + "#### Types\n", + "\n", + "Player = int # A player is an int: `1`\n", + "Pair = list # A pair is a list of two players who are partners: `[1, 2]`\n", + "Game = list # A game is a list of two pairs: `[[1, 2], [3, 4]]`\n", + "Round = tuple # A round is a tuple of games: `([[1, 2], [3, 4]], [[5, 6], [7, 8]])`\n", + "\n", + "class Schedule(list):\n", + " \"\"\"A Schedule is a list of rounds (augmented with a score and court count).\"\"\"\n", + " def __init__(self, games, courts=2):\n", + " games = list(games)\n", + " while games: # Allocate games to courts, one round at a time\n", + " self.append(one_round(games, courts))\n", + " self.score = scorer(self)\n", + " self.courts = courts\n", + " \n", + "#### Functions\n", + " \n", + "def hillclimb(P, C=2, N=100000):\n", + " \"Schedule games for P players on C courts by randomly altering schedule N times.\"\n", + " sched = Schedule(initial_games(all_pairs(P)), C)\n", + " for _ in range(N):\n", + " sched = max(alter(sched), sched, key=lambda s: s.score)\n", + " return sched\n", + "\n", + "def all_pairs(P): return list(combinations(range(P), 2))\n", + "\n", + "def initial_games(pairs):\n", + " \"\"\"An initial list of games: [[[1, 2], [3, 4]], ...].\n", + " We try to have every pair play every other pair once, and\n", + " have each game have 4 different players, but that isn't always true.\"\"\"\n", + " random.shuffle(pairs)\n", + " games = []\n", + " while len(pairs) >= 2:\n", + " A = pairs.pop()\n", + " B = first(pair for pair in pairs if disjoint(pair, A)) or pairs[0]\n", + " games.append([A, B])\n", + " pairs.remove(B)\n", + " return games\n", + "\n", + "def disjoint(A, B): \n", + " \"Do A and B have disjoint players in them?\"\n", + " return not (players(A) & players(B))\n", + "\n", + "def one_round(games, courts):\n", + " \"\"\"Place up to `courts` games into `round`, all with disjoint players.\"\"\"\n", + " round = []\n", + " while True:\n", + " G = first(g for g in games if disjoint(round, g))\n", + " if not G or not games or len(round) == courts:\n", + " return Round(round)\n", + " round.append(G)\n", + " games.remove(G)\n", + "\n", + "def players(x): \n", + " \"All distinct players in a pair, game, or sequence of games.\"\n", + " return {x} if isinstance(x, Player) else set().union(*map(players, x))\n", + "\n", + "def first(items): return next(items, None)\n", + "\n", + "def pairing(p1, p2): return tuple(sorted([p1, p2]))\n", + " \n", + "def scorer(sched):\n", + " \"Score has penalties for a non-perfect schedule.\"\n", + " penalty = 50 * len(sched) # More rounds are worse (avoid empty courts)\n", + " penalty += 1000 * sum(len(players(game)) != 4 # A game should have 4 players!\n", + " for round in sched for game in round)\n", + " penalty += 1 * sum(abs(c - 2) ** 3 + 8 * (c == 0) # Try to play everyone twice\n", + " for c in opponents(sched).values())\n", + " return -penalty\n", + " \n", + "def opponents(sched):\n", + " \"A Counter of {(player, opponent): times_played}.\"\n", + " return Counter(pairing(p1, p2) \n", + " for round in sched for A, B in round for p1 in A for p2 in B)\n", + " \n", + "def alter(sched):\n", + " \"Modify a schedule by swapping two pairs.\"\n", + " games = [Game(game) for round in sched for game in round] \n", + " G = len(games)\n", + " i, j = random.sample(range(G), 2) # index into games\n", + " a, b = random.choice((0, 1)), random.choice((0, 1)) # index into each game\n", + " games[i][a], games[j][b] = games[j][b], games[i][a]\n", + " return Schedule(games, sched.courts)\n", + "\n", + "def report(sched):\n", + " \"Print information about this schedule.\"\n", + " for i, round in enumerate(sched, 1):\n", + " print('Round {}: {}'.format(i, '; '.join('{} vs {}'.format(*g) for g in round)))\n", + " games = sum(sched, ())\n", + " P = len(players(sched))\n", + " print('\\n{} games in {} rounds for {} players'.format(len(games), len(sched), P))\n", + " opp = opponents(sched)\n", + " fmt = ('{:2X}|' + P * ' {}' + ' {}').format\n", + " print('Number of times each player plays against each opponent:\\n')\n", + " print(' |', *map('{:X}'.format, range(P)), ' Total')\n", + " print('--+' + '--' * P + ' -----')\n", + " for row in range(P):\n", + " counts = [opp[pairing(row, col)] for col in range(P)]\n", + " print(fmt(row, *[c or '-' for c in counts], sum(counts) // 2))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 8 Player Tournament\n", + "\n", + "I achieved (in a previous run) a perfect schedule for 8 players: the 14 games fit into 7 rounds, each player partners with each other once, and plays each individual opponent twice:" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Round 1: [1, 6] vs [2, 4]; [3, 5] vs [7, 0]\n", + "Round 2: [1, 5] vs [3, 6]; [2, 0] vs [4, 7]\n", + "Round 3: [2, 3] vs [6, 0]; [4, 5] vs [1, 7]\n", + "Round 4: [4, 6] vs [3, 7]; [1, 2] vs [5, 0]\n", + "Round 5: [1, 0] vs [6, 7]; [3, 4] vs [2, 5]\n", + "Round 6: [2, 6] vs [5, 7]; [1, 4] vs [3, 0]\n", + "Round 7: [2, 7] vs [1, 3]; [4, 0] vs [5, 6]\n", + "\n", + "14 games in 7 rounds for 8 players\n", + "Number of times each player plays against each opponent:\n", + "\n", + " | 0 1 2 3 4 5 6 7 Total\n", + "--+---------------- -----\n", + " 0| - 2 2 2 2 2 2 2 7\n", + " 1| 2 - 2 2 2 2 2 2 7\n", + " 2| 2 2 - 2 2 2 2 2 7\n", + " 3| 2 2 2 - 2 2 2 2 7\n", + " 4| 2 2 2 2 - 2 2 2 7\n", + " 5| 2 2 2 2 2 - 2 2 7\n", + " 6| 2 2 2 2 2 2 - 2 7\n", + " 7| 2 2 2 2 2 2 2 - 7\n" + ] + } + ], + "source": [ + "report([\n", + " ([[1, 6], [2, 4]], [[3, 5], [7, 0]]),\n", + " ([[1, 5], [3, 6]], [[2, 0], [4, 7]]),\n", + " ([[2, 3], [6, 0]], [[4, 5], [1, 7]]),\n", + " ([[4, 6], [3, 7]], [[1, 2], [5, 0]]),\n", + " ([[1, 0], [6, 7]], [[3, 4], [2, 5]]),\n", + " ([[2, 6], [5, 7]], [[1, 4], [3, 0]]),\n", + " ([[2, 7], [1, 3]], [[4, 0], [5, 6]]) ])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 9 Player Tournament\n", + "\n", + "For 9 players, I can fit the 18 games into 9 rounds, but some players play each other 1 or 3 times:" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Round 1: [1, 7] vs [4, 0]; [3, 5] vs [2, 6]\n", + "Round 2: [2, 7] vs [1, 3]; [4, 8] vs [6, 0]\n", + "Round 3: [5, 0] vs [1, 6]; [7, 8] vs [3, 4]\n", + "Round 4: [7, 0] vs [5, 8]; [1, 2] vs [4, 6]\n", + "Round 5: [3, 8] vs [1, 5]; [2, 0] vs [6, 7]\n", + "Round 6: [1, 4] vs [2, 5]; [3, 6] vs [8, 0]\n", + "Round 7: [5, 6] vs [4, 7]; [1, 8] vs [2, 3]\n", + "Round 8: [1, 0] vs [3, 7]; [2, 8] vs [4, 5]\n", + "Round 9: [3, 0] vs [2, 4]; [6, 8] vs [5, 7]\n", + "\n", + "18 games in 9 rounds for 9 players\n", + "Number of times each player plays against each opponent:\n", + "\n", + " | 0 1 2 3 4 5 6 7 8 Total\n", + "--+------------------ -----\n", + " 0| - 2 1 2 2 1 3 3 2 8\n", + " 1| 2 - 3 3 2 2 1 2 1 8\n", + " 2| 1 3 - 3 3 2 2 1 1 8\n", + " 3| 2 3 3 - 1 1 1 2 3 8\n", + " 4| 2 2 3 1 - 2 2 2 2 8\n", + " 5| 1 2 2 1 2 - 3 2 3 8\n", + " 6| 3 1 2 1 2 3 - 2 2 8\n", + " 7| 3 2 1 2 2 2 2 - 2 8\n", + " 8| 2 1 1 3 2 3 2 2 - 8\n" + ] + } + ], + "source": [ + "report([\n", + " ([[1, 7], [4, 0]], [[3, 5], [2, 6]]),\n", + " ([[2, 7], [1, 3]], [[4, 8], [6, 0]]),\n", + " ([[5, 0], [1, 6]], [[7, 8], [3, 4]]),\n", + " ([[7, 0], [5, 8]], [[1, 2], [4, 6]]),\n", + " ([[3, 8], [1, 5]], [[2, 0], [6, 7]]),\n", + " ([[1, 4], [2, 5]], [[3, 6], [8, 0]]),\n", + " ([[5, 6], [4, 7]], [[1, 8], [2, 3]]),\n", + " ([[1, 0], [3, 7]], [[2, 8], [4, 5]]),\n", + " ([[3, 0], [2, 4]], [[6, 8], [5, 7]]) ])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 10 Player Tournament\n", + "\n", + "With *P*=10 there is an odd number of pairings (45), so two players necessarily play one game less than the other players. Let's see what kind of schedule we can come up with:" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Round 1: (6, 7) vs (0, 5); (3, 4) vs (2, 8)\n", + "Round 2: (1, 8) vs (0, 3); (7, 9) vs (4, 5)\n", + "Round 3: (3, 6) vs (1, 7); (0, 9) vs (2, 5)\n", + "Round 4: (2, 9) vs (6, 8); (1, 3) vs (4, 7)\n", + "Round 5: (0, 8) vs (5, 7); (4, 6) vs (2, 3)\n", + "Round 6: (2, 4) vs (3, 5); (1, 6) vs (8, 9)\n", + "Round 7: (6, 9) vs (3, 7); (1, 2) vs (5, 8)\n", + "Round 8: (1, 4) vs (5, 9); (0, 7) vs (3, 8)\n", + "Round 9: (1, 5) vs (2, 7); (3, 9) vs (0, 6)\n", + "Round 10: (7, 8) vs (4, 9); (0, 1) vs (2, 6)\n", + "Round 11: (4, 8) vs (5, 6); (0, 2) vs (1, 9)\n", + "\n", + "22 games in 11 rounds for 10 players\n", + "Number of times each player plays against each opponent:\n", + "\n", + " | 0 1 2 3 4 5 6 7 8 9 Total\n", + "--+-------------------- -----\n", + " 0| - 2 2 2 - 2 2 2 2 2 8\n", + " 1| 2 - 3 2 1 2 2 2 2 2 9\n", + " 2| 2 3 - 2 2 3 2 - 2 2 9\n", + " 3| 2 2 2 - 3 - 3 3 2 1 9\n", + " 4| - 1 2 3 - 3 1 2 2 2 8\n", + " 5| 2 2 3 - 3 - 1 3 2 2 9\n", + " 6| 2 2 2 3 1 1 - 2 2 3 9\n", + " 7| 2 2 - 3 2 3 2 - 2 2 9\n", + " 8| 2 2 2 2 2 2 2 2 - 2 9\n", + " 9| 2 2 2 1 2 2 3 2 2 - 9\n", + "CPU times: user 2min 39s, sys: 661 ms, total: 2min 40s\n", + "Wall time: 2min 43s\n" + ] + } + ], + "source": [ + "%time report(hillclimb(P=10))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In this schedule several players never play each other; it may be possible to improve on that (in another run that has better luck with random numbers).\n", + "\n", + "# 16 Player Tournament\n", + "\n", + "Let's jump to 16 players on 4 courts (this will take a while):" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Round 1: (0, 12) vs (9, 13); (5, 10) vs (11, 15); (6, 8) vs (1, 3); (2, 7) vs (4, 14)\n", + "Round 2: (5, 12) vs (0, 10); (6, 11) vs (3, 9); (8, 15) vs (2, 14)\n", + "Round 3: (12, 15) vs (4, 6); (10, 13) vs (1, 9); (2, 5) vs (8, 11)\n", + "Round 4: (11, 14) vs (0, 9); (3, 13) vs (7, 10); (2, 15) vs (4, 12)\n", + "Round 5: (10, 11) vs (0, 15); (12, 14) vs (5, 13); (1, 8) vs (6, 9); (3, 7) vs (2, 4)\n", + "Round 6: (3, 11) vs (8, 13); (7, 9) vs (5, 15); (1, 6) vs (4, 10); (2, 12) vs (0, 14)\n", + "Round 7: (3, 10) vs (7, 12); (1, 14) vs (5, 11); (6, 13) vs (4, 8)\n", + "Round 8: (4, 5) vs (0, 8); (6, 10) vs (2, 11); (1, 13) vs (9, 15)\n", + "Round 9: (3, 5) vs (2, 9); (10, 15) vs (1, 7); (0, 11) vs (6, 12); (8, 14) vs (4, 13)\n", + "Round 10: (1, 10) vs (3, 8); (6, 7) vs (5, 9); (11, 12) vs (4, 15)\n", + "Round 11: (4, 7) vs (1, 11); (9, 14) vs (10, 12); (0, 6) vs (2, 13)\n", + "Round 12: (10, 14) vs (5, 8); (9, 12) vs (2, 3); (4, 11) vs (7, 13)\n", + "Round 13: (7, 8) vs (0, 13); (3, 12) vs (1, 5); (14, 15) vs (4, 9)\n", + "Round 14: (0, 5) vs (1, 4); (13, 14) vs (3, 15); (9, 10) vs (2, 8)\n", + "Round 15: (0, 3) vs (1, 15); (2, 6) vs (5, 7)\n", + "Round 16: (7, 11) vs (8, 12); (3, 4) vs (5, 14); (6, 15) vs (0, 2)\n", + "Round 17: (3, 14) vs (9, 11); (8, 10) vs (0, 4); (5, 6) vs (7, 15); (1, 2) vs (12, 13)\n", + "Round 18: (0, 1) vs (7, 14); (13, 15) vs (3, 6)\n", + "Round 19: (11, 13) vs (2, 10); (0, 7) vs (8, 9); (6, 14) vs (1, 12)\n", + "\n", + "60 games in 19 rounds for 16 players\n", + "Number of times each player plays against each opponent:\n", + "\n", + " | 0 1 2 3 4 5 6 7 8 9 A B C D E F Total\n", + "--+-------------------------------- -----\n", + " 0| - 2 2 - 2 2 2 2 3 2 2 2 3 2 2 2 15\n", + " 1| 2 - - 3 2 2 3 2 2 2 3 1 2 2 2 2 15\n", + " 2| 2 - - 2 2 2 3 2 2 2 2 2 3 2 2 2 15\n", + " 3| - 3 2 - 1 2 2 2 2 3 2 2 2 3 2 2 15\n", + " 4| 2 2 2 1 - 2 2 3 3 - 1 2 2 2 3 3 15\n", + " 5| 2 2 2 2 2 - 2 3 2 2 2 2 2 - 3 2 15\n", + " 6| 2 3 3 2 2 2 - 2 2 2 1 2 2 2 - 3 15\n", + " 7| 2 2 2 2 3 3 2 - 2 2 2 2 1 2 1 2 15\n", + " 8| 3 2 2 2 3 2 2 2 - 2 3 2 - 3 2 - 15\n", + " 9| 2 2 2 3 - 2 2 2 2 - 2 2 2 2 3 2 15\n", + " A| 2 3 2 2 1 2 1 2 3 2 - 3 2 2 1 2 15\n", + " B| 2 1 2 2 2 2 2 2 2 2 3 - 2 2 2 2 15\n", + " C| 3 2 3 2 2 2 2 1 - 2 2 2 - 2 3 2 15\n", + " D| 2 2 2 3 2 - 2 2 3 2 2 2 2 - 2 2 15\n", + " E| 2 2 2 2 3 3 - 1 2 3 1 2 3 2 - 2 15\n", + " F| 2 2 2 2 3 2 3 2 - 2 2 2 2 2 2 - 15\n", + "CPU times: user 15min 6s, sys: 2.67 s, total: 15min 9s\n", + "Wall time: 15min 16s\n" + ] + } + ], + "source": [ + "%time report(hillclimb(P=16, C=4))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We get a pretty good schedule, although it takes 19 rounds rather than the 15 it would take if every court was filled, and again there are some players who never face each other." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.5.3" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} From c486d81938c0f09ba1c5ddf9d3d32ff17b5fd920 Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Sat, 7 Jul 2018 21:25:38 -0700 Subject: [PATCH 84/90] Update README.md --- README.md | 45 ++++++++++++++++++++++++++------------------- 1 file changed, 26 insertions(+), 19 deletions(-) diff --git a/README.md b/README.md index ba0eabf..728bf09 100644 --- a/README.md +++ b/README.md @@ -8,29 +8,31 @@ Some are in Jupyter (IPython) notebooks, some in `.py` files. You can view the f # Index of Jupyter (IPython) Notebooks -|Logic and Number Puzzles| +|Programming Examples| |---| |[Advent of Code 2017](https://github.com/norvig/pytudes/blob/master/ipynb/Advent%202017.ipynb)
*Puzzle site with a coding puzzle each day for Advent 2017.*| |[Advent of Code 2016](https://github.com/norvig/pytudes/blob/master/ipynb/Advent%20of%20Code.ipynb)
*Puzzle site with a coding puzzle each day for Advent 2016*.| -|[The Devil and the Coin Flip Game](https://github.com/norvig/pytudes/blob/master/ipynb/Coin%20Flip.ipynb)
*How to beat the Devil at his own game.*| +|[Project Euler Utilities](https://github.com/norvig/pytudes/blob/master/ipynb/Project%20Euler%20Utils.ipynb)
*My utility functions for the Project Euler problems, including `Primes` and `Factors`.*| |[Translating English Sentences into Propositional Logic Statements](https://github.com/norvig/pytudes/blob/master/ipynb/PropositionalLogic.ipynb)
*Automatically converting informal English sentences into formal Propositional Logic.*| +|[Beal's Conjecture Revisited](https://github.com/norvig/pytudes/blob/master/ipynb/Beal.ipynb)
*A search for counterexamples to Beal's Conjecture*| +|[WWW: Who WIll Win (NBA Title)?](https://github.com/norvig/pytudes/blob/master/ipynb/WWW.ipynb)
*Computing the probability of winning the NBA title, for my home town Warriors, or any other team.*| +|[Pickleball Tournament](https://github.com/norvig/pytudes/blob/master/ipynb/Pickleball.ipynb)
*Scheduling a doubles tournament fairly and efficiently.*| +|[Conway's Game of Life](https://github.com/norvig/pytudes/blob/master/ipynb/Life.ipynb)
*The cellular automata zero-player game.*| +|[A Chaos Game with Triangles](https://github.com/norvig/pytudes/blob/master/ipynb/Sierpinski.ipynb)
*A surprising appearance of the Sierpinski triangle in a random walk between vertexes.*| +|[Generating Mazes](https://github.com/norvig/pytudes/blob/master/ipynb/Maze.ipynb)
*Make a maze by generating a random tree superimposed on a grid.*| + + +|Logic and Number Puzzles| +|---| +|[When is Cheryl's Birthday?](https://github.com/norvig/pytudes/blob/master/ipynb/Cheryl.ipynb)
*Solving the "Cheryl's Birthday" logic puzzle.*| +|[When Cheryl Met Eve: A Birthday Story](https://github.com/norvig/pytudes/blob/master/ipynb/Cheryl-and-Eve.ipynb)
*Inventing new puzzles in the Style of Cheryl's Birthday.*| +|[The Devil and the Coin Flip Game](https://github.com/norvig/pytudes/blob/master/ipynb/Coin%20Flip.ipynb)
*How to beat the Devil at his own game.*| |[The Puzzle of the Misanthropic Neighbors](https://github.com/norvig/pytudes/blob/master/ipynb/Mean%20Misanthrope%20Density.ipynb)
*How crowded will this neighborhood be, if nobody wants to live next door to anyone else?*| |[Four 4s, Five 5s, and Countdown to 2016](https://github.com/norvig/pytudes/blob/master/ipynb/Countdown.ipynb)
*Solving the equation 10 _ 9 _ 8 _ 7 _ 6 _ 5 _ 4 _ 3 _ 2 _ 1 = 2016. From an Alex Bellos puzzle.*| |[Sicherman Dice](https://github.com/norvig/pytudes/blob/master/ipynb/Sicherman%20Dice.ipynb)
*Find a pair of dice that is like a regular pair of dice, only different.*| -|[Beal's Conjecture Revisited](https://github.com/norvig/pytudes/blob/master/ipynb/Beal.ipynb)
*A search for counterexamples to Beal's Conjecture*| -|[When is Cheryl's Birthday?](https://github.com/norvig/pytudes/blob/master/ipynb/Cheryl.ipynb)
*Solving the "Cheryl's Birthday" logic puzzle.*| -|[When Cheryl Met Eve: A Birthday Story](https://github.com/norvig/pytudes/blob/master/ipynb/Cheryl-and-Eve.ipynb)
*Inventing new puzzles in the Style of Cheryl's Birthday.*| |[Sol Golomb's Rectangle Puzzle](https://github.com/norvig/pytudes/blob/master/ipynb/Golomb-Puzzle.ipynb)
*A Puzzle involving placing rectangles of different sizes inside a square. Bonus: cryptarithmetic.*| -|[WWW: Who WIll Win (NBA Title)?](https://github.com/norvig/pytudes/blob/master/ipynb/WWW.ipynb)
*Computing the probability of winning the NBA title, for my home town Warriors, or any other team.*| -|[The Riddler: Battle Royale](https://github.com/norvig/pytudes/blob/master/ipynb/Riddler%20Battle%20Royale.ipynb)
*A puzzle involving allocating your troops and going up against an opponent.*| -|Math Concepts| -|---| -|[A Concrete Introduction to Probability](https://github.com/norvig/pytudes/blob/master/ipynb/Probability.ipynb)
*Code and examples of the basic principles of Probability Theory.*| -|[Probability, Paradox, and the Reasonable Person Principle](https://github.com/norvig/pytudes/blob/master/ipynb/ProbabilityParadox.ipynb)
*Some classic paradoxes in Probability Theory, and how to think about disagreements.*| -|[Symbolic Algebra, Simplification, and Differentiation](https://github.com/norvig/pytudes/blob/master/ipynb/Differentiation.ipynb)
*A computer algebra system that manipulates expressions, including symbolic differentiation.*| -|[Economics Simulation](https://github.com/norvig/pytudes/blob/master/ipynb/Economics.ipynb)
*A simulation of a simple economic game.*| -|[How to Count Things](https://github.com/norvig/pytudes/blob/master/ipynb/How%20To%20Count%20Things.ipynb)
*Combinatorial math: how to count how many things there are, when there are a lot of them.*| +|[The Riddler: Battle Royale](https://github.com/norvig/pytudes/blob/master/ipynb/Riddler%20Battle%20Royale.ipynb)
*A puzzle involving allocating your troops and going up against an opponent.*| |Word Games| |---| @@ -44,16 +46,21 @@ Some are in Jupyter (IPython) notebooks, some in `.py` files. You can view the f |[Gesture Typing](https://github.com/norvig/pytudes/blob/master/ipynb/Gesture%20Typing.ipynb)
*What word has the longest path on a gesture-typing smartphone keyboard?*| |[How to Do Things with Words, or Statistical Natural Language Processing in Python](https://github.com/norvig/pytudes/blob/master/ipynb/How%20to%20Do%20Things%20with%20Words.ipynb)
*Spelling Correction, Secret Codes, Word Segmentation, and more: grab your bag of words.*| -|Computer Science Algorithms, Concepts, and Problems| +|Math Concepts| +|---| +|[A Concrete Introduction to Probability](https://github.com/norvig/pytudes/blob/master/ipynb/Probability.ipynb)
*Code and examples of the basic principles of Probability Theory.*| +|[Probability, Paradox, and the Reasonable Person Principle](https://github.com/norvig/pytudes/blob/master/ipynb/ProbabilityParadox.ipynb)
*Some classic paradoxes in Probability Theory, and how to think about disagreements.*| +|[Symbolic Algebra, Simplification, and Differentiation](https://github.com/norvig/pytudes/blob/master/ipynb/Differentiation.ipynb)
*A computer algebra system that manipulates expressions, including symbolic differentiation.*| +|[Economics Simulation](https://github.com/norvig/pytudes/blob/master/ipynb/Economics.ipynb)
*A simulation of a simple economic game.*| +|[How to Count Things](https://github.com/norvig/pytudes/blob/master/ipynb/How%20To%20Count%20Things.ipynb)
*Combinatorial math: how to count how many things there are, when there are a lot of them.*| + +|Computer Science Algorithms and Concepts| |---| |[BASIC Interpreter](https://github.com/norvig/pytudes/blob/master/ipynb/BASIC.ipynb)
*How to write an interpreter for the BASIC programming language.*| |[Bad Grade, Good Experience](https://github.com/norvig/pytudes/blob/master/ipynb/Snobol.ipynb)
*As a student, did you ever get a bad grade on a programming assignment? (Snobol, Concordance)*| -|[Conway's Game of Life](https://github.com/norvig/pytudes/blob/master/ipynb/Life.ipynb)
*The cellular automata zero-player game.*| -|[A Chaos Game with Triangles](https://github.com/norvig/pytudes/blob/master/ipynb/Sierpinski.ipynb)
*A surprising appearance of the Sierpinski triangle in a random walk between vertexes.*| |[The Convex Hull Problem](https://github.com/norvig/pytudes/blob/master/ipynb/Convex%20Hull.ipynb)
*A classic Computer Science Algorithm.*| |[The Traveling Salesperson Problem](https://github.com/norvig/pytudes/blob/master/ipynb/TSP.ipynb)
*Another of the classics.*| -|[Generating Mazes](https://github.com/norvig/pytudes/blob/master/ipynb/Maze.ipynb)
*Make a maze by generating a random tree superimposed on a grid.*| -|[Project Euler Utilities](https://github.com/norvig/pytudes/blob/master/ipynb/Project%20Euler%20Utils.ipynb)
*My utility functions for the Project Euler problems, including `Primes` and `Factors`.*| + # Index of Python Files From 3859ec5c8719627fc665d8aad548d214a6a7868f Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Sat, 7 Jul 2018 21:26:16 -0700 Subject: [PATCH 85/90] Update README.md --- README.md | 1 - 1 file changed, 1 deletion(-) diff --git a/README.md b/README.md index 728bf09..ebeed6b 100644 --- a/README.md +++ b/README.md @@ -31,7 +31,6 @@ Some are in Jupyter (IPython) notebooks, some in `.py` files. You can view the f |[Four 4s, Five 5s, and Countdown to 2016](https://github.com/norvig/pytudes/blob/master/ipynb/Countdown.ipynb)
*Solving the equation 10 _ 9 _ 8 _ 7 _ 6 _ 5 _ 4 _ 3 _ 2 _ 1 = 2016. From an Alex Bellos puzzle.*| |[Sicherman Dice](https://github.com/norvig/pytudes/blob/master/ipynb/Sicherman%20Dice.ipynb)
*Find a pair of dice that is like a regular pair of dice, only different.*| |[Sol Golomb's Rectangle Puzzle](https://github.com/norvig/pytudes/blob/master/ipynb/Golomb-Puzzle.ipynb)
*A Puzzle involving placing rectangles of different sizes inside a square. Bonus: cryptarithmetic.*| - |[The Riddler: Battle Royale](https://github.com/norvig/pytudes/blob/master/ipynb/Riddler%20Battle%20Royale.ipynb)
*A puzzle involving allocating your troops and going up against an opponent.*| |Word Games| From b331d71218f09a238d7b5e5ad78750f2acb8dd69 Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Mon, 9 Jul 2018 13:35:54 -0700 Subject: [PATCH 86/90] Add files via upload --- ipynb/Euler's Conjecture.ipynb | 163 +++++++++++++++++++++++++++++++++ 1 file changed, 163 insertions(+) create mode 100644 ipynb/Euler's Conjecture.ipynb diff --git a/ipynb/Euler's Conjecture.ipynb b/ipynb/Euler's Conjecture.ipynb new file mode 100644 index 0000000..e40c82f --- /dev/null +++ b/ipynb/Euler's Conjecture.ipynb @@ -0,0 +1,163 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Euler's Sum of Powers Conjecture\n", + "\n", + "In 1769, Leonhard Euler [conjectured that](https://en.wikipedia.org/wiki/Euler%27s_sum_of_powers_conjecture) for all integers *n* and *k* greater than 1, if the sum of *n* *k*th powers of positive integers is itself a *k*th power, then *n* is greater than or equal to *k*. For example, this would mean that no sum of a pair of cubes (a3 + b3) can be equal to another cube (c3), but a sum of three cubes can, as in 33 + 43 + 53 = 63. \n", + "\n", + "It took 200 years to disprove the conjecture: in 1966 L. J. Lander and T. R. Parkin published a refreshingly short [article](https://projecteuclid.org/download/pdf_1/euclid.bams/1183528522) giving a counterexample of four fifth-powers that summed to another fifth power. They found it via a program that did an exhaustive search. Can we duplicate their work and find integers greater than 1 such that \n", + "*a*5 + *b*5 + *c*5 + *d*5 = *e*5 ?\n", + "\n", + "## Algorithm\n", + "\n", + "An exhaustive *O*(*m*4) algorithm woud be to look at all values of *a, b, c, d* < *m* and check if *a*5 + *b*5 + *c*5 + *d*5 is a fifth power. But we can do better: a sum of four numbers is a sum of two pairs of numbers, so we\n", + "are looking for\n", + "\n", + "     *pair*1 + *pair*2 = *e*5    **where**   *pair*1 = *a*5 + *b*5 **and** *pair*2 = *c*5 + *d*5.\n", + "\n", + "We will define *pairs* be a dict of `{`*a*5 + *b*5`: (`*a*5`, ` *b*5`)}` entries for all *a* ≤ *b* < *m*; for example, for *a*=2 and *b*=10, the entry is `{100032: (32, 100000)}`.\n", + "Then we can ask for each *pair*1, and for each *e*, whether there is a *pair*2 in the `dict` that makes the equation work. There are *O*(*m*2) pairs and *O*(*m*) values of *e*, and `dict` lookup is *O*(1), so the whole algorithm is *O*(*m*3):" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "import itertools\n", + "\n", + "def euler(m):\n", + " \"\"\"Yield tuples (a, b, c, d, e) such that a^5 + b^5 + c^5 + d^5 = e^5,\n", + " where all are integers, and 1 < a ≤ b ≤ c ≤ d < e < m.\"\"\"\n", + " powers = [e**5 for e in range(2, m)] \n", + " pairs = {sum(pair): pair \n", + " for pair in itertools.combinations_with_replacement(powers, 2)}\n", + " for pair1 in pairs:\n", + " for e5 in powers:\n", + " pair2 = e5 - pair1\n", + " if pair2 in pairs:\n", + " yield fifthroots(pairs[pair1] + pairs[pair2] + (e5,))\n", + " \n", + "def fifthroots(nums): \n", + " \"Sorted integer fifth roots of a collection of numbers.\" \n", + " return tuple(sorted(int(round(x ** (1/5))) for x in nums))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Let's look for a solution (arbitrarily choosing *m*=500):" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 1.07 s, sys: 21.4 ms, total: 1.09 s\n", + "Wall time: 1.11 s\n" + ] + }, + { + "data": { + "text/plain": [ + "(27, 84, 110, 133, 144)" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time next(euler(500))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "That was easy, and it turns out this is the same answer that Lander and Parkin got: 275 + 845 + 1105 + 1335 = 1445.\n", + "\n", + "We can keep going, collecting all the solutions up to `*m*=1000`:" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 1min 53s, sys: 706 ms, total: 1min 54s\n", + "Wall time: 1min 57s\n" + ] + }, + { + "data": { + "text/plain": [ + "{(27, 84, 110, 133, 144),\n", + " (54, 168, 220, 266, 288),\n", + " (81, 252, 330, 399, 432),\n", + " (108, 336, 440, 532, 576),\n", + " (135, 420, 550, 665, 720),\n", + " (162, 504, 660, 798, 864)}" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%time set(euler(1000))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "All the answers are multiples of the first one (this is easiest to see in the middle column: 110, 220, 330, ...).\n", + "Since 1966 other mathematicians have found [other solutions](https://en.wikipedia.org/wiki/Euler%27s_sum_of_powers_conjecture), but all we need is one to disprove Euler's conjecture." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.0" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} From a5b6e80622fe67bf13fcfd2a059ed86c82af692a Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Mon, 9 Jul 2018 13:40:40 -0700 Subject: [PATCH 87/90] Update README.md --- README.md | 1 + 1 file changed, 1 insertion(+) diff --git a/README.md b/README.md index ebeed6b..39993c0 100644 --- a/README.md +++ b/README.md @@ -52,6 +52,7 @@ Some are in Jupyter (IPython) notebooks, some in `.py` files. You can view the f |[Symbolic Algebra, Simplification, and Differentiation](https://github.com/norvig/pytudes/blob/master/ipynb/Differentiation.ipynb)
*A computer algebra system that manipulates expressions, including symbolic differentiation.*| |[Economics Simulation](https://github.com/norvig/pytudes/blob/master/ipynb/Economics.ipynb)
*A simulation of a simple economic game.*| |[How to Count Things](https://github.com/norvig/pytudes/blob/master/ipynb/How%20To%20Count%20Things.ipynb)
*Combinatorial math: how to count how many things there are, when there are a lot of them.*| +|[Euler's Sum of Powers Conjecture](https://github.com/norvig/pytudes/blob/master/ipynb/Euler's%20Conjecture.ipynb)
*Solving a 200-year-old puzzle by finding integers that satisfy a5 + b5 + c5 + d5 = e5.*| |Computer Science Algorithms and Concepts| |---| From 9ced85dd9a84859d0767369e58f33912a214a3cf Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Mon, 9 Jul 2018 13:57:19 -0700 Subject: [PATCH 88/90] Update README.md --- README.md | 4 +++- 1 file changed, 3 insertions(+), 1 deletion(-) diff --git a/README.md b/README.md index 39993c0..1f5625e 100644 --- a/README.md +++ b/README.md @@ -85,7 +85,9 @@ Some are in Jupyter (IPython) notebooks, some in `.py` files. You can view the f # Etudes for Programmers -I got the idea for the "etudes" part of the name from this [1978 book by Charles Wetherell](https://books.google.com/books/about/Etudes_for_programmers.html?id=u89WAAAAMAAJ) +I got the idea for the "etudes" part of the name from +this [1978 book](https://books.google.com/books/about/Etudes_for_programmers.html?id=u89WAAAAMAAJ) +by [Charles Wetherell](http://demin.ws/blog/english/2012/08/25/interview-with-charles-wetherell/) that was very influential to me when I was first learning to program. ![](https://images-na.ssl-images-amazon.com/images/I/51ZnZH29dvL._SX394_BO1,204,203,200_.jpg) From 21cd1dc29acb7c8644bded5d6c086ccc115d7ddc Mon Sep 17 00:00:00 2001 From: Victor Salgado <1109234+mcsalgado@users.noreply.github.com> Date: Mon, 23 Jul 2018 16:39:01 -0300 Subject: [PATCH 89/90] fix typo --- py/ngrams.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/py/ngrams.py b/py/ngrams.py index 6f03378..6b04c29 100644 --- a/py/ngrams.py +++ b/py/ngrams.py @@ -157,7 +157,7 @@ P3l = Pdist(datafile('count_3l.txt')) P2l = Pdist(datafile('count_2l.txt')) ## We'll need it later def hillclimb(x, f, neighbors, steps=10000): - "Search for an x that miximizes f(x), considering neighbors(x)." + "Search for an x that maximizes f(x), considering neighbors(x)." fx = f(x) neighborhood = iter(neighbors(x)) for i in range(steps): From afcc950afb7f6492976af58be445e53594cd327b Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Wed, 1 Aug 2018 22:19:48 -0700 Subject: [PATCH 90/90] Update Cheryl.ipynb --- ipynb/Cheryl.ipynb | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/ipynb/Cheryl.ipynb b/ipynb/Cheryl.ipynb index f4af940..3c9cfbb 100644 --- a/ipynb/Cheryl.ipynb +++ b/ipynb/Cheryl.ipynb @@ -17,7 +17,7 @@ "\n", "Peter Norvig, April 2015\n", "\n", - "This logic puzzle has been [making the rounds](https://www.google.com/webhp?#q=cheryl%27s+birthday):\n", + "This logic puzzle has been [making the rounds](https://www.google.com/webhp?#q=cheryl%27s+birthday) (and [not always favorably](https://www.newyorker.com/cartoons/daily-cartoon/daily-cartoon-thursday-april-16th-cheryl-singapore-math)):\n", "\n", "\n", "1. Albert and Bernard just became friends with Cheryl, and they want to know when her birthday is. Cheryl gave them a list of 10 possible dates:\n",