{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# The Traveling Salesperson Problem\n", "\n", "Consider the [*Traveling Salesperson Problem*](http://en.wikipedia.org/wiki/Traveling_salesman_problem) (or TSP): \n", "\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", "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", "|![](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", "Do we understand the problem statement well enough to program a solution? Let's check:\n", "\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", "\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": {}, "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", "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" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Exhaustive Search Algorithm: `exhaustive_tsp`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's start with an algorithm that is *guaranteed* to solve the problem, although inefficiently:\n", "\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:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "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", "def shortest_tour(tours): return min(tours, key=tour_length)\n", "\n", "# TO DO: Data types: City, Cities, Tour; Functions: alltours, tour_length" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This gives us a good start; the Python code closely matches the English description. Now for the TO DO list.\n", "\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", "**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`. " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "alltours = permutations \n", "\n", "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)))\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))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# A solution!\n", "\n", "Now we're ready: `exhaustive_tsp` can find a tour for a set of cities:" ] }, { "cell_type": "code", "execution_count": 4, "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": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "exhaustive_tsp(Cities(9))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Quick, is that the shortest tour? I can't tell. But this should help:\n", "\n", "## Visualizing results: `plot_tour` and `do`\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "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", "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": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_tour(exhaustive_tsp(Cities(9)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That looks much better! It certainly looks like the shortest possible tour, although I can't prove it. \n", "\n", "*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": 7, "metadata": {}, "outputs": [], "source": [ "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": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "exhaustive: 9 cities ⇒ tour length 2450 (in 1.049 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "do(exhaustive_tsp, Cities(9))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Optimization: non-redundant `alltours`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We said there are *n*! tours of *n* cities, and thus 6 tours of 3 cities:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[(1, 2, 3), (1, 3, 2), (2, 1, 3), (2, 3, 1), (3, 1, 2), (3, 2, 1)]" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "list(alltours({1, 2, 3}))" ] }, { "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 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." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "def alltours(cities):\n", " \"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, and that `exhaustive_tsp` can now do 10 cities in about the time it took to do 9 before:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[[1, 2, 3], [1, 3, 2]]" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "alltours({1, 2, 3})" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "exhaustive: 10 cities ⇒ tour length 2720 (in 1.466 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "do(exhaustive_tsp, Cities(10))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# General Strategies\n", "\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**: 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", "* **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", "\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*** (`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": 13, "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", " C = start or first(cities)\n", " tour = [C]\n", " unvisited = set(cities - {C})\n", " while unvisited:\n", " C = nearest_neighbor(C, 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 `exhaustive_tsp` was limited to about a dozen cities, this algorithm can do thousands of cities in less than a second:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "nn: 1998 cities ⇒ tour length 33688 (in 0.510 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 distinct ones—sometimes the random number generator produces the exact same city.)" ] }, { "cell_type": "code", "execution_count": 15, "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 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": 16, "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((k, seed))\n", " return random.sample(population, k)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's try it:" ] }, { "cell_type": "code", "execution_count": 17, "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": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "rep_nn: 1998 cities ⇒ tour length 32382 (in 12.480 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "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(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", " [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 and build a `City` out of each line that matches the format (excluding Alaska and Hawaii)." ] }, { "cell_type": "code", "execution_count": 19, "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": 20, "metadata": {}, "outputs": [], "source": [ "! [ -e latlong.htm ] || curl -O https://raw.githubusercontent.com/norvig/pytudes/master/data/latlong.htm" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "nn: 1089 cities ⇒ tour length 52879 (in 0.158 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": 22, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "nn: 10 cities ⇒ tour length 17 (in 0.000 sec)\n" ] }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cities10 = {City(x, 1) for x in range(0, 5)} | {City(x - 1.49, 0) for x in range(5, 10)}\n", "\n", "do(nn_tsp, cities10)" ] }, { "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 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": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "15.299342436137655" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXQAAABLCAYAAABgOHyfAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAACNtJREFUeJzt3VuMVeUZxvH/y0HqbGc6UKowgI4GiShHLWitNaBQhyubtKmm5aZpUtP2oqnxohf2oilJL1p6W23StElrondtbMqAAqJIOdTggYMtVHGUYaAK5TBUrPD2Yq2db61hBoZh7/3tvdbzS1YIM4T9hKzvzcPe6/vG3B0REWl942IHEBGR2tBAFxEpCA10EZGC0EAXESkIDXQRkYLQQBcRKQgNdBGRgmjYQDezznlmz5lZZ6NeU0SkTBoy0M0qPUtpG3gevrGUtgGzSk8jXvdKmXV0m937R7OvbUp+7eiOnWk4yllbrZJT5LLcva4XtPUsYcqF4+AOfhx8CVMuQFtPvV/7ynK2d8Pqg3DGk6hnPPl9e3fsbMqpnLp0jeYy9/pt/TezzqW0DfRydtLkzNdPAA/Rfn4X+56CmefqFuCKfG8V/HIuVDJfGwSe2A+/Xhcr1cWUs7ZGyrnyGfdtq2OlEhmLCfX8y++Ap58dMswBJgPPcXr8Mr77zT7++hTwUT1zjI5NzC9qSH8/EehvfJ6RKGdtjZRz0T1mzAf2uKMDj6Ql1HWg74XHHqXt4eEa+iNc92kfv9sO/ADYB6xLr9fcuVDPXMMxe30xDM6+uKm9scOdtY3OMxLlrK2Rc3Ie+DNwjRm9JPfmi+6cjBBTZHTq/Z7O5d5DB58EvgJ8Lfg+8GPgfwD/FvjURr331CrvpSpn43KCG/gc8B+C94KfBt8C/mPwheAWO78uXdmrru+hVyVPufCnZzk76VHazu2Er7oP9g7/Z7kJ6AFWAcuBtwnt/e/unK9fzo5umLcGpnXBQD/sedL91KF6vd5YKWdtjTanGW3AMpJ7cxVwLeTa+38al1rkYg0Z6JB8QHoHPL0XHnP3Ud34ZlwD3EdYQDcAG0gW0Hp3/l23wCKXYcathHvzPmA3oXy84a733qWxGjbQa8GMGwnt/QHgH4QFtKue7V3kUsy4lnx7r5C0917gBXdOxEsnZdFSAz0rbe9fIiyg6eTb+7GI8aTkzJhNKB9fBt4klI/XPcIH/1J8LTvQhzJjFvAQyQJ6EDhIWEA71N4llrS9308oHx3AepJ7c4Pau9RKYQZ6lhkTgXsJC2gm8ALJAup152jEeFJyZtxCuDfvB94ilI/dau8yVoUc6EOZMYPw398HgXfIt/dPI8aTEjPjM+Tbeyf59n48YjxpMaUY6Flpe/8iYQHdSL69D0SMJyVnxs0k92UPyYese4m86U5aR+kG+lBmdBHa+wrgEGEB/U3tXWIxYxLJB6rV8jGVfHv/MGI8aUKlH+hZZkwA7iEsoG5gI6G9N9EZJFI2ZnQTyscyYD/5TXdq7yWngX4JZkwnPDmzEugj397/FzGelFja3rOb7q4ntPf1au/lpIE+Sml7v5uwgG4h394PR4wnJRfzyAxpHhroY2TGNPLt/QPCAtqm9i6xDHNkxjS06a4UNNBrIG3vSwkLaDawiXTAu/NBxHhScummu+yRGQcI5WOn2ntxaKDXgRnXE9r7V4AjhAX0qjufRIwnJZa29+ymuy7CY7vrtemutWmg15kZ44ElhAU0B9hMaO/vR4wnJWfGTPKb7rJHZuzUY7utRQO9wcz4PPn2fpSwgLaqvUsswxyZMQttumspGugRpe39C4SdgXOBlwjt/b146aTs0iMzquVjBfAuoXxsV3tvPhroTcSMqSStfRXJQvqQsIBecedcxHhSYml7z266uwl4kdDej0SMJykN9CZlxjjgLsICuh3YQmjvh+Klk7JLN91lj8x4Dx2ZEZ0Geosw43Pk2/txwgJ6We1dYhnmyIybybd3HZnRIBroLSht73cSFtA88u393YjxpOTSTXfV9r4SeB9tumsIDfQCMGMKSXvvSa+ThAW0xZ2PI8aTEhth0131yIx1OjKjtjTQCyZt74sIC2gB8AphAf0rYjwpOTNuIP/Y7mHym+7U3q+CBnrBmTGZ5L+91UcjT5Nv7/+NGE9KLH1sN9veb0VHZlwVDfQSSdv7QsICWghsJXx4dSBiPCm5SxyZ0Ys23Y2KBnqJmdFJvr2fJbT3l9w5GzGelNiQTXergNvIH5nRFzFe09JAFwDMMJLGXn064U7gVcKAP+CObhaJIj0yI/vY7jHyR2bosV000GUEZnyWZMNItSF9TFhAm9XeJZa0vWc33enIjJQGulxW2t7nExbQXcA2woD/p9q7xKIjMwINdLliZnSQb++fkHxwtQ7Y5M5gxHhSYkOOzOihZJvuNNDlqqTtfR5hAS0BthMa0ttq7xJLemRG9oP/E+SPzCjUpjsNdKkpM9pJflBCtb1fICygTe6ciRhPSixt74sJ9+Z84GVCe38nYrya0ECXuknb++2EBbQU2EEY8PvV3iWW9MiMbHtv+SMzNNClYdL2/gBhwEPYOLLRndOxskm5FeXIDA10iSJt73MJC+huYBehIe1Ve5dYMkdmVPdlnCG/6a4pj8zQQJemYMZ1wHLCgB9PeHJmozunkj/X0Q3z1sD0LjjSD3uedD91KFLsESlnbcXMmdl0V703F5HZdFc9MqMp/i3dXZeuprrADfw28B+BbwA/Db4Ztv4cvt0HZxzck19XH4T27tiZ8/nbu5NcylnEnOCd4F8H/y14P/hBeO338J3+2BnV0KXpmVEBlsP318Iv5kAl891B4CeH4Ve7I8UbxuOL4WczlLNWmjqnAQvgp7PgCS7OuPIZ922rGxVmQqNeSGSsPNmo9Bezo49DZU7+uxXg5EfAbyJEG8HJNVCZkf+aco5dK+TsWwOVBfmvVYBpXY1MoYEuLeRIf9J6hrag/W+583ykUBcx2/8IDC5QztpohZwjZxxo7M9Tjf3+mC5do72a7b1U5VTOZsuo99ClpYQnCaZ1Je2n2Z/KUM5aaIWczZBRA11EpCDGxQ4gIiK1oYEuIlIQGugiIgWhgS4iUhAa6CIiBaGBLiJSEBroIiIFoYEuIlIQGugiIgWhgS4iUhAa6CIiBaGBLiJSEBroIiIFoYEuIlIQGugiIgWhgS4iUhD/B9l356pXaE21AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tour = nn_tsp(cities10)\n", "\n", "tour[5:10] = reversed(tour[5:10])\n", "\n", "plot_tour(tour)\n", "tour_length(tour)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That's an improvement! \n", "\n", "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": 24, "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": 25, "metadata": {}, "outputs": [], "source": [ "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 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:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "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, i, j)\n", " for (i, j) in subsegments(len(tour))}\n", " if improvements == {None}:\n", " return tour\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 reversed(range(N - length + 1))]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here are all the subsegments of a 5 city tour:" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[(1, 5), (0, 4), (2, 5), (1, 4), (0, 3), (3, 5), (2, 4), (1, 3), (0, 2)]" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "subsegments(5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Improved Nearest Neighbor Algorithms\n", "\n", "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:" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "def improve_nn_tsp(cities): \n", " \"Improve the tour produced by nn_tsp.\"\n", " return improve_tour(nn_tsp(cities))\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": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "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": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "improve_nn: 1089 cities ⇒ tour length 45489 (in 2.571 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": 31, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "rep_improve_nn: 1089 cities ⇒ tour length 44500 (in 15.181 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": [ "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": 32, "metadata": {}, "outputs": [], "source": [ "@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": 33, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "rep_improve_nn, 10: 1089 cities ⇒ tour length 44418 (in 32.362 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "do(bind(rep_improve_nn_tsp, 10), USA)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "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", "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", "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", "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. 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" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [], "source": [ "def greedy_tsp(cities):\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", " new_segment = join_endpoints(endpoints, A, B)\n", " 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 links between cities, sorted shortest first.\"\n", " return sorted(combinations(cities, 2), key=lambda link: distance(*link))\n", " \n", "# TO DO: 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", "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": 35, "metadata": {}, "outputs": [], "source": [ "def join_endpoints(endpoints, A, B):\n", " \"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" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's try out the `greedy_tsp` algorithm, with and without improvement, on the USA map:" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "greedy: 1089 cities ⇒ tour length 46982 (in 0.561 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "do(greedy_tsp, USA)" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "improve_greedy: 1089 cities ⇒ tour length 43844 (in 2.855 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "do(improve_greedy_tsp, USA)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "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", "\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": 38, "metadata": {}, "outputs": [], "source": [ "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 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)\n", " if len(new_segment) == len(cities):\n", " plot_tour(new_segment)\n", " plt.show()\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", " segments = set(map(tuple, endpoints.values()))\n", " if len(segments) in plot_sizes:\n", " for s in segments:\n", " plot_segment(s)\n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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wmeVcaszw54Ka5cTYFh8hX3/hZthpc4yhI/AMcLEIs23LEx09quD27ct/yduaGPSogkmdm4yxzjCwUPn7Ai+FI5tSj8PRUH6znGCyyTYooxkjisuYmR6MoQvctg9cvMr1QvaZKLlngPtEeMi2PNHi95LvUORLvpzorHIoW0n1A14OVialKQ4ri7BnOeEqo7hSn97ZmJNehqvnw0f3wiMHuhd22kAmxPNR4BU8W0aO79Rf13GzvM8kTQr8XvLdfmwM+xV+nOpx3kSg8cTg/Dr4tk24/Va6kspESOrKIgKcNUMFEyHREvGyxecjCJOaj+nvVOCPDjuzDXAf8C1wQa7d/N51Hfoi9OjszY92B9ofZExFQQ5U9/ELwT31buApY5gKXONtfvMfI82js5avg/2PgFnHhhsJV04IMd2BL0VYFpw8Sk5s5xvxz/eSKx/OJd/AA0ODOX5yUhkHlVU1jn0CMh7kdZAt/L+z51Sv7kLTOgx7TrUtf7BjoHmOJpCtQO6BJWtg9OpixkiU48GT/6cvw8/WFJNjCmRUOXmltBVxj2wL0PJAaPoAPDYSZA3IAcEc+7z/uJa2urRrCao28nGzXUy45z8uzl4IV6+Dc/fN/T3ZFGQnOGxt7v45ch1IX5DWzY9dXD33Un8XXZ8d82yxYyTqBIwge4C8W+RvHgQ523b/pqE5bIbKnaTMGNYA041hkAj/LOfYxrz7Ppy6Ftg43pt3yjepeTmUOnZxPfIpt6ns4unGvHw/9N0C2AHYMfO5NbACtm2bu3/aGuBWoLsx/B3+Pg+OPw3u3KEYs0uQGxfDi9Db5AfFj5GwTcFN6f4VDO9qzMIX4aMPC7z2fsCvwpFHycK2tiqlgQwCWQ2Sc0ZZ4DE2A6kD2dz29ZTZF63hrPnFzxobz4T7TIY3n4CFL8GpS1xebfmvos79N8ilICeC9ALpCNLK+83+U3P/Zv+pmT7cGuR4OG9RKSs0f5mOeTbX+Gro+yFz4cD34SdzMquRg1yqIBdl0ahiz+V9f+ATcM3XLq7kktisC1Cy4MgxGYWxT4m/7wfyqu3rKLMP+oAsgAUz4fSa4h60pg/m2PVw0K6ul2EtxTTiXdPJTfrn5JrmdSP8jn3c7NJkumIdyBcgi0GmglwHz5wPI5dmy3KpwEKB4bXeZ+NjBFmb+uxVxb74oxoP/spszEKQi0CGguztKXY3Kx8mvVkXoCzhkSGewrjnaJ+ZWmULv70K5P/ZvoYSr7sdyL0gK0BOADEND/WYRd4M2Q3HZfDXXprshbz0/I991br6fi5WJpBNQHbLrHiug4uXtVyo5xdFKcLi+m7eg3DGGy5OBPwV7rmLQe4EeQpkPsh/YMKGuI7fODfrApR9ATx1TvMa3PUztZZm1/I0yDDb8hd3rWJAhoF8CPI7kK1yfKcHyHstHGMTOOPNYmfnrrQwZ5X+x354OMi/QOaA9CpHJv+X4oTM5zU5XoKDnglo/LxJAMEh4dzXwicBcMLf4jp+49ysC1D2BeQtqZhrsMlGIJ+CtLctf+HXKZ1AngR5B6Sv//faVsI162H43PrZY0bJ9MrM0FbD5R/HeWYWpmmkhRDUViAjM4p6CkiX3L8b/53nA/KbpOQbr4fVZiud0au9sFf5PYzap/RIrYOneOVXD3rIpRVFtoyFKtz4rozj3KwLUPYF5J2pNZ9t4IXo+c6+XWqZl9QFIB+DXAuyqf93cz1w534Ki2tA3gWZANJNbb5l3Y82mX5cC3ITSLsm//8pyNbF3aOslfBBTZUVyJbw+v3NV9CF+hzica8LnQTE6ZqS1KwLUPYFlLayGA3yB9uyZ8vUPE4fpCfIP0BeBtmt9L445lma2Ntdd2S73kA6gNwPsgrkfM+817bS2/fRsKpr+V4PnuP52AYW4GMr1VeTzFm4jl8LfW5bgLIvoMWZ2iUb4PmLmv/GrY08/iuCJWszim2jwo4T7SYqbQLIj0FmwOL3YNSKsGa7pd5bHRPagmoOJxIsDG/TzrTDvAR3Q+bCwA/grblw1mTodBQcfoUxDG/ysz7AHAvi+pArqeFvt4LRs0WYKJJVWLkFbGUNTS8ivAn8BK5aBrd1CC8xZan3VseEEhC2tVXYDS86aCXISZm/d8jYmwuarUcjYzCzP7Xlxv8eBn1vc//unE90TGgrtjmd7iMIRKg2hsOBvxjzzNYw6afQUWDug8a4kt4jmLQK5dV0Vsoj3NQY2fd2wHHw+vPwj0vy3dvmY2J9LdzTD+77QRByKekhNjW4y8WYO4+ED6bD9a2irC+cX66KSuh6K/Q8Cu5t7ZJsSuFEWb/aGKqB4SK8XeLvz4d3z4Sz/g3tO2iVSKUQEr+yaODhETCjlZ36wrnJfsF8gle3550vYPkL8E7eWaPiDhGv6mqBitJ/vs2zMOK38MLe4dapUJJEipSFi8WOGju22wDXA3WbwcA6fWjjR64sySFRC7Qt/efdr4dfbebSxElxnxQpi6jTLReCiwpMiQHrKGJlYQztgb2BfbzPAUfpuFOKJUXKoqzSjYHj1Y9ov717CkxxGc90edpesKGHMW8PbmzqypSY7cD3SuH7z82BeZn2CMxrBXWDddwpxZAaBzc0LixjN1LIGNoCU+CdCrixI9zTRR3bSj58Cj+tglGPwgFd8ZTDxsAbmTYv81kj0lCbPEpnvJIcUqUsXMAYdgCeBl4FzoeKji4osKQQXqU5+xjTexLMGNF8RXBJNUycgKcYljdWDP7HcmPipMSHFJmh7JD98trwJdy6F3S9BbjFe6gjc4omniDLm7qJn4/rk49FmFrMkSJ0xisJQZVFiPibDR55TKQ2dUu68Gf9udKmJCnKx8UgDSUtxD43lNvkenndtl1w+YLiQ4PinDECHh/gfQ6Z6f17UCQ9uqx6nOdbqM/1ZDdIQ0kXurIICWP4Aex5QLJfXsUQxaw/2TNvTeei2ESVRcAYw0bAcOAG2LRVEl9ehZqTjGFbYF+v9T4ifMXpVnh0GKivQbGFKosAMYZDgd8CXwOnwgPL4ZMcIYrxfXn5O5FPGgaPbAvsx/cKgnbA6177aCHU9Q1TcWbPvDtsD7v1gm5n6sxbUcpHQ2cDwBh+BNwE7AxcCTxeH76YtBBF//DNmzbAda8Ar+EpiNeA9yVTi8NGbL8x86fA7d2gtjZpYbSKEjW6sigDY+iEl9DpSKAKmCjC142/kzyzgZ8TecHfRTjE71dR29s95XTSwXDXdmGH0SZ5b0dLBHHdae27WGK7oEYcG0g7kF9niihVgVSEf87mNbrtXHs8ajpHJWdaC04Fcd1p7bu4NusCuN6yX9IHPQR/+wXIapAHQDpGJ4MbD5VLsrQsZzS1p11XnmFNMoK4btf7Tlt2UzNUC+S2s1+1Hv41TOSiF6KTxJ3NZvEJ39xyq3yRaKWYQIyhDdANzz+1MxxwiKvh0eXuaPfrHy9hYbddyr/upO+LSRaqLFok10v615vDwFMhSmXh1kPluh/GGM6Gq7eG82vg7spckWgtvUihdg3Qle8VwvetG/A/wPvAYq+tXQZ1HdwMj/abZNRNNIYLgdXAZyLNc0nl7p/z+xgz9xHoPQQ6dSw/LDzZ+2KShiqLFnHlJa0PVUtkz4BbbwxV3aHrQfDEN7Co2QrImxnv+5vcL9LOC/AyG3yApxDew4vuejjz9w8lE+HlnfvJShBHw6P9xu/O++Mls2wPtDaG1ZDVVsGww+HuJv1zdyVccRz0Hgl3fQTLy7zu5O+LSRKqLFrElZd0rofq/KX6UPnNgC9cDp9tBrWtgMeByky7w5j6P/fZLPeLdMl8oJ8I3xZy/gaz3GbToXUbmDfXHbOc3/h9+WkRb2VoDJvjKY3GbTto1yF3/6xYLsIcqMW77g9ugAEnwZwn4PWfF3Pd8TFpKoA6uFtqLjlzGxyVQ2fBWfOh+gXb/eNC83eSjv8a5C2QaSC3g1wCMhRkT5Atg3augkwBGWG7P5qPmdLGbzH9A/IcyDDb16st3GZdANdbw0v6ys9hyPMuRP2AbAqyCORI27LYbqVGPQU9EQCZB7Kf7f7IfZ0jX4cLlxUTDVVM/4BcDnKX7WvVFm5TM1Qe6p25xnAdsLkINXYlAhG+MoaxwJ3G0FOEL23LZI/STIVBmkAy5Ux3xvNpOEXGRzMR2E+Es4v7XcH9Mxv4Y1AyK26i6T4KxJi7j4KPHoF3X3Nlp6kxTAXeECF1Kc/rcaFEqDFsB7wtwg+jOF+xGMPJwCARTg7n+NvvBKPegUWvwbIaF54NJXh0ZdECDVE2bbvA//SE+7eANgMcqsB2CfC6MUxyYcVjA0ecpN2BRRGer1jqgC3COHBGWf8FrmgNbfpAXR9Hng0lYFRZ+JA9Y70ZuAwXNsU1RoQaY7gNuBUYaksO2ziw78NJE1QjPqd5aFNAuLNhVAkXrZTnS+OH4Dvc2G+Rk5uBnsZwpG1BUkxqVxbu7EVSwkaVhS+NH4KNaChlWY8bm+Iyzu0L8fYQbGpbnpTi+sqiaQRAgNQHGDQ9nf1nQwkWVRa+NH4IRgLXkl37+IpauPh5Y9jEhnSNEeE5YAGerUyJHteVxeeEtrLQuuBpQaOhfGgeZfMOMHYdbP42fLkGJrwDfQ7FyyE0DXgM+Ks0qWcRnbxU4qWl2EeEpTZkSBveGOlZBYcMh5cehX9d6aJTN1PedkFY0VpeP5zxIqz/HBbM12ioZKLKogUKqXJnDJ2BYcDxwK7AdDzFMcPbDxFdcRdjGA/sJcKwMI6vNOBCyG6hGNN3VzikGqpfCmsMGsMrwM9EmBvkcRWHsL0rMEkNpCPIWJCXQP4Db06FUSujShcC8gOQ90COsN0XSW9xqcUQVcoakBUgnWxfr7bwmvosAkSEj0S4Q4R+wO5wS0e4bbvmYYU9QtlEJ56z+yJ4715j+j5kzHGzjOk9yZsFK8ESlyggv9DW4MZgJrBiG2BlUMdU3EP3WYSECCuN+fzz6F8oFQtg5A/h+eFh155ON3W1bmQkbo4xbAns6bUDDo1gDHYEVkiBmXqVeKIri1CxEVbYowp+3Saq1UwaMYYd4O694WcfhxUFZExFpbcq9F8dGoMxhh2NYbAxTDCGqcbwAbAcuAHYGdYujWAM7ggsC/B4ioPoyiJUbBR3iYt5JF40BCrs2Bm6/AiOvhMevh/eDjzNSG7n+bm9jLn1PLhkW2Avvl858DUwP9MeBq4AltTP8sMuzuTJOvgG2LarMa9M0kioBGPbaZL0ll2HovAU0aWfLx6O1zi1qOua+N/Dqz4DeQTkSpAjQLYrXP7gx6BL9V60hd+sC6At4BtK20oYu14f4CD7NFoFXGqNjqT3iza7Tc1QiaO2Fbz/BRzxJPxwOy1VGQRRm/ZcKeebj+67q8kzPaiySB4jYac/ibx8sW1BkkPUL+/qcXBeb7inS3S+rsIxho2Aq6HTrvFQakoQaDRUgjCGVsDpwP/aliVZRJv/yFsF9r8UrlsLw2bDwMmu7Aw3hm2AZ4HDoW6A5oVKD5ruIwE0ROrs2gN+uAPcu48LL5YkUUjql2DPx5nAwSKcHtY5isUYegNTgIeAcSJ8E3W/KPZQM1TMyR1muWKmbsILFgsFlnbDy15pheY5zX5TAwedDZwlwtP133Og8JQSEbqyiDnG9J4EM0Y0txsPnCwyVx/imGIMzwATRZgW/blzTUCu+Qo2P1TkV3OilkdxA/VZxB7dhJdQdgMW2jl1rnxSN2wKL55rRx7FBVRZxB6tVNYUL1XGXlONGbDKmMGrjDlgapySKRrD5kAH4AM7EugERGmOKovYo5XKGuMphUNfhAHHwtPt4an2MOtYOObFGCmMXYDFInwT5Unr81HBht1hPGTV0Er3BERRB3fsEamtMabiMFiiESmAZ0Lp0RmuJNuMMrEzDKwiHs7Y3YnYuZ3bTzEeuAgv+3h6JyCKhyqLBKARKY3psL23YI61GcVCJFQuP8X1wKDV8NXMdE9AFFAzlJI4Vq6A78jtx/l0jQWBSsGCc9vPT7HVQpG5p6iiUFRZKAmjehxUL/VMKI39OJeug991NYbQG6QCAAAEUklEQVS2FoUrlMjNUBoooeRDlYWSKLwZ8F/7w+wnPRPKMavhkCfhsR/DLvOBZ4xhC8ti5sRzMPd9CCZ0h75XReuQzxUoMf5buHRmdDIoLqOb8pTUkEmANxHYGThKpNlU2hq5HcxjlkSZE6p56o5zpsLpdwK3QsWj2Tu61YeRNlRZKKkiozDuB7oAg1xRGK7uxPdKyC56Fu7sDDe2taXIFPuoGUpJFSJ8B4wCaoDpmQ1wVjGG3aHXQBcjuERYDmdXNyiKerm0rnvaUGWhpI5GCmM5FhWGMfQwhkeA2fCZww7mbdq7qMiUaFFloaQSEb4FzgRWANOMOXAXY3pPMua4Wd5nMM7l+l3RjY9rDD2N4VFgJvAG0BUeHRrWTvxcMhR3BI2UUtAa3NrS3UBawVtPwoWB1y336qGf8l72cS/4HJasAbkMpE3z7x84CYbO8j7Lr5ueW4biri2IY2iLf7MugDZtthv0mdzwIpRGL8QDJ5V33AMn5T5uv4ejuzY/GYq7Nk9h9P8zjPvG6y9VFGlrmu5DcYrmRXeiCNFs3yEcm7zfruit25d33CBkKO7aMvfgRGP4N3CTCDXByKfEBVUWijP47DXoFX7Vv3qbfNOw1XJt8mEd16oMrwAHAG+VK5kSL9TBrThErmR2UYRohpXm3YX08YHL8CrQKxjZlDihKwvFIewU3QkrzbsL6eNDkOEV4IIARVRigioLxSHsmW3CSvPuQvr4gGV4G+hsDO1E+CygYyoxQM1QikO4YLZRWkK86n3zgP1sy6JEi64sFGdwwWyjFMQreH4LzUibIjSRoKIoRWHM9HNg9nhYukgz0KYHVRaKohSMF948bDbcXakZaNOF+iwURSmIzIbJWdCpEm4GlqIZaNOD+iwURclLow2TXRpWFNcCFwKd0Qy0yUdXFoqiFECuDZO/BP6AZqBNB6osFEUpAL8NkxvQ8OZ0oGYoRVEKwG/D5KwPoFqd2ylAVxaKohSA74bJQ1RRpAMNnVUUpSA8J/dPn4LWbWHeHN1fkS7UDKUoSkF4O+xZCEwXYbJteZRoUTOUoijF0B1YZFsIJXrUDKUoSkEYgwHWAZ1E+K9teZRo0ZWFoiiF0gGoU0WRTlRZKIpSKGqCSjFqhlIUJS9eJNSxU2DrHeHVWRoJlT5UWSiK0iKN8kJ11Uyz6UXNUIqi5CFXXijNNJs2VFkoipIHv7xQmmk2TaiyUBQlD/V5oRqjmWbThioLRVHy4JsXSjPNpgh1cCuKkpdMlbwqz/S0SutupxBVFoqiKEpe1AylKIqi5EWVhaIoipIXVRaKoihKXlRZKIqiKHlRZaEoiqLkRZWFoiiKkhdVFoqiKEpeVFkoiqIoeVFloSiKouRFlYWiKIqSF1UWiqIoSl5UWSiKoih5UWWhKIqi5EWVhaIoipIXVRaKoihKXlRZKIqiKHlRZaEoiqLkRZWFoiiKkhdVFoqiKEpeVFkoiqIoefk/kpptrQbji8gAAAAASUVORK5CYII=\n", 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\n", 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\n", 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "improve_greedy: 110 cities ⇒ tour length 14999 (in 0.030 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "visualize_improve_greedy_tsp(sample(USA, 110), {40, 20, 10, 5});" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Divide and Conquer Strategy\n", "\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", "3. Join those two tours into one.\n", "\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": 40, "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", "half1, half2 = [c, a, b], [d, e, f]\n", "\n", "plot_tour(half1, 'bo-')\n", "plot_tour(half2, 'gs-')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "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": 41, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_segment(half1, 'bo-')\n", "plot_segment(half2, 'gs-')\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "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": 42, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_tour(half1 + half2)" ] }, { "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 `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": 43, "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, 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 exhaustive_tsp(cities)\n", " else:\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" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "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": 44, "metadata": {}, "outputs": [], "source": [ "def split_cities(cities):\n", " \"Split cities vertically if map is wider; horizontally if map is taller.\"\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", " middle = len(cities) // 2\n", " return cities[:middle], cities[middle:]\n", "\n", "def extent(numbers): return max(numbers) - min(numbers)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "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": 45, "metadata": {}, "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", " 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", " # A rotation is some suffix of the sequence followed by the rest of the sequence.\n", " return [sequence[i:] + sequence[:i] for i in range(len(sequence))]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As usual, we can define an **improved** version:" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [], "source": [ "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 100 USA cities:" ] }, { "cell_type": "code", "execution_count": 47, "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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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "do(bind(divide_tsp, 3), Cities(6))" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "improve_divide: 110 cities ⇒ tour length 14749 (in 0.247 sec)\n" ] }, { "data": { "image/png": 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aEnQx6PkZvo6AXu68we7skW7bq9p2BK0JOh70LdCGYY/NXCihC5B2A9CBoM+FLUfw7Qpmf73U7nHtJjjimUKzU1Tuj+PawshNQXjYpHYfKruFl/+c1gTtAnoLXPlDVPbRPYW2FF6/OigPpQr11wC91/PEap5Mn1Xd534Kp/MeoJNAXyDGmQsrPv0ZtgBpNwBtAPoT6HZhyxJsu9KfBZvvuO94ORh0VthyJCZrsKvL9OX52+EwdFMQ46m888Zh/4O5r3mr322Clbmiwum/L+i7nmNIjbDvcS6VXLdZoMpakU9fgzGviqxdmy/RaMu7TLbZA3bYFV4/Mrl2xQrOWDChqP3YC5gXthCJEbWAf68OhCk10h1P/s4bV/4C/7e/6peBBm+s4G6/EzAZmAhcrRoz6qzhR9jaKpiZw1lf5/Ps2dvLfRv0pOS+F62ZaRQK6G1huYMmL2u0Voaxx9Nxq5LZlgrDhRl0T9BloJeGfV9zteT8ysLNnu/aMZ9nz6qoCP8AbhLhKdVEZ0SxZqbfrQxeypxhL+C+sIVIhPKryz8fD18UwzbfQdtRIg1CWD3HGk/7NoEbm5QenCs6CpZsBFr4l65/zqQLc2UPsoHPwpn3AZer8lgQ1yhIwtZW6c8YCmP27K0uPgE9NvHv+M1ML1oPn38IWhR2m0Lqx6VE9CBc1fdx0OqwVxj+42mowpIKK4TrfscdEn0P9BnQMaCX4sKaHALdns3UyiKGjJvh2QFh38dcL6ELkP7gKJyYLqAngc4kiSBvlQ18jVuBXoYLntcv7DZlr+/qF7mgfMN/z7WIolEa4+XHU+dV5RVFSekzLX4dmdlei1Jf5VsJXYD0B8ffu7iZQzT2dTPbVq0O+hXo4QHUtT/oF6APg9YPu22Z7bdo7f0nL380V8/pPJjTdYutor4fothX+VBCFyC9AaJ1nV/21GuCHHhRLqBng04OqK56oP8GXUAEQnRnrs+iO9tMJLJqbPmHfQs6GLRxonUFL3v4Sri8HNdrVO91rpfQBUhvkOh/cKcw8y72fhVtronLd3BggHX2xSX/uQq0ethtDL7PojozT+xh6/+50xbA366Ai5fA8M1w7gro9104p9PDm6iB1oLjXi5t99sKZ2iFftgI9TuFPQ5zveSsN5QIA4AOwEGqheMvrcpGEW4Drgb6BFTnMyK8B4wDjhThdI1UatF0idp5hRJinYOp+5IIdwOLgMWwdhlUClN+P5zwMNzf0jur0AxG4LKB1iNbXoFlzzGkQ7wYWF7Av+bAn72yt/faGtr+XtqHrwFXArcBW3CZo6/ZChYOBt5OV86CJmxtleJsYm/Q70H3CluWkNpfz1sJ7BFwvdVBr/Xq7hV2O4Nrl9/M/MxlYW9XQp/p/iue8xeCPgg6FReTaYPnxTUNd/J4OJzytv92y/WRWj2lfn/OWu5Ci+jdoG+A/gi6EpckajToabjw5LXKb9ON9OnP3OiHqJecW1mIUB94GrhUlblhyxMGqhSLcBduCjUgwHp/B/4uwuvA4yIchevn9UFdIwwqJxDaui5cWxMeWh6WTCJsBS129l/xfPyOKueU/ywtgFa4JFetoMmu/mcVykY6j8LqKRH8Vlh3NYerzoau9wATgM9U+d7v2yJzhsPgQ1wd1YjmKjIPCFtbJTcDUQH9H+i/w5Yl7ALaEHQNGTovgYu59RjofLjnmGwaTrPQd9W82erFIV2/urO1zZ3qbA/J2xliG72Hh2psTq0/0rcpldpOus+AfmvDNrrnY8m1lcVgYA+gfdiChI0qP4nwADAMuDAD9a8FThOZfAksfAGmVE8nvWWUUGWLCOcCM0SYqMrSbF3b23u/H9gB9jwGnm8CC1LIoVB2Nl1yX85dCvM+hrnbpJqPIZz8GenblMrHgGpQBN0tL0XAiNPK0UeEA3HJYTqo8lXY8kQBEZoA84E9VVmVmWt0GAdTTq38Q+4+XnVmTodTEeEaoBNwrGrmnSQ8RXEH0A44UpVf0quv5MHedAdY/DPUBJpvk+pDPkbe64UwMaMTA3fdv0yHB1qWV3wvdraHfHSI9Mqi9MfQfCfYZT/oeIXqsaYoPFT5VoTHgUvIWGrZvE5kPxroB5yMy1iXaUYBhwFd0lUUUDqbjvGQT2H1F2aU4vXAzTibwxbv/0akCHsfrOo9yMwe+Mn2IabM9JO29GwXjTJTf1kfdi1zL/LjkBNoO9BVoNtm+DrXgM4lA3lXgkuU1Xd6GJ5EUT40aaW0VAtHRSVCrFlO21FB1F46G5tyKjzbxb2e8Jr7e+6gbr/9ReCCoOsWoRXccQBcssrNViHfEtmr8j5uVfHPTF1DhCHAWUB3jeHRkx6xVn/NEl79idAD2hxQep9LyIYnUV6vXvOGCCuLTA+gzCqjLHMLcLFIpQ5LGpEGRSIdxomc9BZcMxu+HgtPtofu46H3NPea2T3sTFDarj5T3Wu5ScEIoJPnKhzwdTkHuBQ4QpUMPXRLDMRlKQZ22UeEg+LIt70I44GxsO/5biJQdmJwQTH8Xi9Gv2VYfnN3jRRhL21ilUwvTWHg3Hw6vAOfvQIDPkxnSy0qsX6C75v6RXDKkvLtOmVJ2XaBHukdgNs6uOvqKaDfgO6a2fY12xku2VD5vk0e6h1kGwvaqPK26/9d5h3AHA1ar7SvSsJ3HDgRzvepN9jxkK/jLt9K6ALEFCxmXPr/pHWy2PNxvxWu/iVf9kldX525PN0fW77uHUO7Cf7tajehwth4BHRMMNfUnp4tpG3m26enuhwllWM0OSWhY2Hhd3Dut+XHyJDfYGzM/CjZHA9uDPd7Cy79Llfth/leQhegSuEqBSl7ZgAuD8PBqdWn24C+DDrNJW4//8d8mM0EZ+DsMy0XVluJOiaA1gLdGXqt8W/XietADwWt6X2+sXuoHv9qsiu08jL1fR0WrgY9IPN9oVuBLgTtXPXn/vJKMmPE1XveV9kcD6B7gX4R9viy4l8i7TrrF6RMhO+AF0U4Tp1xMiFE2AV4AZgODFF9bJPIF4vgtDVAjdw+vJO+fUeEGrBjq6iHSvB3E73kCJG3HoRDt8aFxdjJe20MrIDft/Zv1zqAMUAbEd6Ctz+Gx2vA4z2ScUH1l+nir+HpNbA2hfYldSjuLGChKtOrrnmr2omOERE6A/dCnXrZHQ9tNsDJrUXmTYdvvs7d32OeEra2SqWAHufttSYUphu0m/f588r8rQ5oMWjdsNuTfn8kv7IoPxPuOB4+eQ7mvQmnLYzyait2W8/7HHQY6F9B24PuiBduHfad4NJ/VkwHuu8Ebyw0Bu0L53+Zygot2f4v7fsjZ0D7RXDCTG8V0ymZvXtvDH9NArlIEpERtBku5P8y0N7ZtCUke618cHvPtRK6ACkLjv7FUwAxl/q4WFIXe3vHnSu8dxjoe2G3I5i+SOWHVvHzF6+HTruHnZ8gfluTjyPk2tRziYubNFLda88llfNGpBajKJnvlfb9PIXLKiiw7muT3Cq6FHRCVbIlMkZAa4AOBV0N+g88Y3fp9zI/HmIrs8HzQIeA9sJld9zWDOLhlEhvQ1WFKi968X1eEbnvLHjsZKjfCn5pBtuvgjVL4G6BfdviQoQsqlBFR2BG1gXPAOWjqu7TznlETzwy9hLez234pjrQfbjq2v5k/LRuOiQfR8jrn87wbZx4QanGKErmeyV9fxtwA+XvQbv6SWwV1cdFHT6iatkclSPvuj6AtS1w27PfAp1U+bzi98jKeIi1lSpbAbvg2rkT0BKGbg1X1AjnpHkBE7a2SrfAC4Ocl5TfTO2iddDDN+cFztDdJ2z5g+8P3Rt0QdWfiWbmuMTal7lZZap1J/M9OO0D9xm/vAuJpwQFHQGaslcSaFPQR3FZF08k5GyTyWzlwYlv5Or4zeUSugBpN+CPQZbUD60a6A+gTcOWP/j+qF8Ew3+Fk2fG2jbIdRfZ0q2RgXPh0m8yEwImuW2X0u+N2OJsQBW3uLQx6L/g2vWxx+s8rSq8duk1/vomDP8N/nZ4crKV2KfeuN7bcrqVAM+VpN/viSrc3B6/uVpCFyDtBvwxS048QxbORa/K2XculvRyOp/3Y67t+YLWxrlS7xK2LGVk+hG0cZn/Vwcd7NnX7oTee8e2WfRf4Izc7cfBSW87hXB5+2TubWJj4uL1cFu3sPvKX9b4ihruOMrtJpjNIqv3J2wB0m5AaiuLQaCPhC17eZlS9+7A+drv4vz7E+2Dsj/MI55x5wtSO78Sbr/pLaC3hS1HaZ9es650VfdQL9BZoG+C/rly33f3vKGOn+F3zz1j84Pu36nNpvNxFg76ErxxQ5QdMfKxhC5A2g2o0rsk1jJWHwUdGLbsldsQW/ZShaBHg14Eehfoq6Bf4XI0L4ZhMQ6fxd/LBT0JdD5o7bD7I7m+051x+djrRO8eDt0Er16cqj0Alw3xe9A9suGplQsF9HA31rVW2LIUWslZb6gSynt5bN0KujeD7VbC94urONTTERc8PyLECmpYf5IIi3HeIDsBK4CvgAXe6xTvdbEqG0RmjINin0RFCR2iego4EbiejOXGCB5VFonwPnAS8HB4kvjdwxtrQPd2qj00lRrVZUMcDYzKjqdWtPGSR90CDFdlQ9jyFBxha6tsF9zBox9Aq4UtS6lMsWZ/g7/CnSfZPZGZVLqeQqBNcGdScmo7CvRY0PejeQ/Tm8Hzx8G7B3sGZ7MYtDoXt21Ae4POjtJvt5BKzq8sksGFUjj2UdhxC8x8VCQq4QRizf4+eU+VFxOtJZYvfaJtVJd5bwjwXxH2V+W3pJoRHpOAe0Q4SJUPwhEhMzN4VX4V4QY4ewgM9e5tlz7w4SR4Z2i8e1t5TKxfC2MPg/trpyNXtnHhaLgJuESVLWHLU5CEra2yVaJ66tPJte8EOC3joaATk0cF9FnQm8O+Z0nKfSXoQ+Hex0yd/9AaoF+AHuX9/zPQvdOo7wL4fJZzo82NcBmgA0Gnpmr/sRLAPQhbgKw1NIJeIeUfMEvUhaHos96F1A7vx5uL21Gg2+HcVv8U7v3MjIcOaF/Qj3BnhGaAdky9rsatnPts+JOTBNteF5cX5KCwZSnkUkDbUFFM3VjWKFoPuBEorgPdi8PcHtMc3I5S5XsRXgIGkMEUqVXLkNHQGM/iwnv8FfgFaJB6VW1udOFdciZcxhBghoa2xWhApNOqBk0UUzdGUYH9wVPAfJx3VK4wFjhPJP/GtSqK81IbBfwK1E+9tkiPu3KI0Bi4DLg2bFkKnbz7UcVmzvDK+YWHrXF/zz7OYNdkh+gpMIf3cDofOFOEdmHLkyDv4pJUdAtbkEygyuswfyWMPBYG3ZB6TuwoTpxicg3wlCpfhS1IwRP2Plg2S/k95W7PeqeWD82+HFof9BWXP+L0RVHeOwbtBzovVw7reYbQ58OWIzNtq18EZwWQPrd+EQxeE+Vx593LlqBryMMYbrlYxN2UwkSEo4EHgP1UWZ2la7YAXsLNgi+EBjs620Xyrq7ZwDsI9QzwpSpXhy1PPES67AGdPoYFs2BpVQczcw6RDuNgis+hy+7jVWcmbGtw23QLFsOlc6FG7SiOOwARHgaWqzIibFkMCsnAXRlVXhXhceBRL01r4P7b5dNkbvoNxuwHrW8D/qmKQrbyBaSGKirC+cCnIkzQJFLZZhsvvemLcFUtqNcBijskkhY1dwjM1nA47PIzvHCsG4PRQ4S9gaOBXcOWxXAUkM0iJsOBhsCwoCsuzc085VR4tgv872gXZaTBs1H9kfqhyrc4j5SHRUj5MJdIgyK3z95naur77VURK2xK21HBXicsArM1nAU8FPEx+A/gJtUkk5gbmSPsfbAoFNCdcCGkOwRbb/TOdqTRRyWH9f6R2vczfygy34LmZaIPQbcB/Ql0u7DbU4WMFiwwgqWgt6FKUGWZCAOB/3nnCtYEU3OsbYPd9hJBVCM9syuHarrbUbFm/UH69udP0Dw/0g3n4tEPeE2V7zMkZlpYsMDoYsrCQ5UXROiMO4h2QjAP8lgPr6atgPdFuBmYoDkS60b/OKz31TiRsz6E7Zu6Nvp3HV6pAAASZElEQVQ/sETYHjgQOAg69Mi8b/+c4TD4kFKlVIxzlw7HPToTBHDw7yyifXamF1Ab+F/YghjlKWhvqIqIUBN4C3hClTHp11dis6j48Hq1O6zeF7gadxL3VmCcKhvTvWamcW06Yw7cXK98mzb2hieb4JSDpyBoAHwIfAAnd4QHD03Xkycx+UocCvY4BGocpXr9W0HVn8uI0BYXdLGlKr+HLU9FvGCBc4AhqkwOWx6jPKYsKiBCK+A94Ljkt1r86it5eFXeNvCW3F1wJ3P3wIWp+Lcq69K9bqaI7b55yyb427vAB/yhIFhYskKLrTgnZsxTSWT2E3BHa/jll6pWQIWCCLcDv6lG8zS0txXcD+iWS1u0BUPYRpMoFtBenoGtYRaveSDo07jMaNdTJo9zlEpsI3LvBLLx1S+CDuNg+Gbo/GQmD4G5a52zMhsHz9JJiZvF8VWTgPOVB9Hu0jr6Todri+GB48PuKysx7lXYAkS14NKWPpftkMigbUAfxCVoGgPawv09Gg+kIDy8QGeCHh51ORO7TjRD3/v0eW/QN6LU7lzpOyve/QpbgKgW0Fqgs+CN68J4SIPuCHqbUxqzn4QBS6PwowrIffM+0IszK2d23Gij7h5dOsm4bDWcOjOoMRO73ce9DHooaA/QPqCng54Herm3Yh4NOhb0ERiyNMp9Z6V8MW+oGKiyQeTGS+HH12FK9TL77Fk5EazKN8AwEW6Cu6fCPTtFIaR0QO6bn+AM4BmkYaN4brTljeGJ2TREqIfLib6rKwd3jWoEVx87UXuQ1xIdv7H6x9nadt3dv917HQZsg+tsv/I9sMT9e93+Ue07w4ewtVWUS1Rmjfl22Az0ENBZGax/ICxYBmcsjrUCqmqFhEu2s7e3dXOlty34Bi4Bz6+gc0Gfd7Pk096NwhgJevz6988Zi2HGzaDz4eq16W9HRuP3ZSXB+xW2AFEuUXlI59uPCrQe6HrQrYKpr6w9p9+bsGAV6C6xMteBCnR5yr9Pry32FMI80Imgt4MOBj0Cd9K/WuVrR3PfPZ3xG3vMXfAVaEezWRResW2oKonKiWC/w2YXLs3Vw2aqFIuwHNgN51efMv4uuRcth5/rwNrquAxzRV65S6Tk3x3r+G+BLJwNHKYJnkMo3Zar8yLUrAcfzYyOi2464zdW9IEVy1WZAWtJdzsyoC1NI1uEra2iXNzM57SFUZj5lJ8lnz0b5kwOu3/Sa48+BXpq+vXEmgGP2Aj6qbc6uBN0KM4lel/QhkGv1kCfCKI9wY+Z1Gbusfun27Nht8tKOCV0AaJeoPMeMHJTxa2McGXSWqBfgR4TtixptOFa0FvTrye1rZagt0BAPwI9KOx+9W/ngA/homXJjF///hm8Bhauxnk4ZdWl3Er4xbah4jLtG+BXVbqGLUkJqmwQ4SLgHhGmqvJb2DKlwGxc2PM0SW2rJcgtEO8k/q4QvdSfnvfSA8BBqgxM7nuV+wfuawQ8AvQV4VxVVmVMeCNSWLiPOIjQCFgMDfZN1s0yC7JNAGapknP5GkRoDnwENFFNPbRDGGFEKstAU+AzVbbLxvWSRYRTgL+ocnJA9dUERgDnApdAg3ei9tswgsdWFlXgHkQHjoa96sGxn8KD9bN93iIOQ4FZIoxTJUw5UuEbXPKtpsDKVCuJiJG0DfBlFq+XLBWXXmmhLuDlCBFegK/Gwxk7VAgsGYXfhhEwpixiUH7Gehtwc/0oHIoriypLRBgDjMGFds4ZVFERPgH2IQ1l4eoKPTVtJLegyrCOAJVFCap84ELVTzo5ar8NI3gsrWpMyibr2YK/G2GzHbMvVyVuA/YW4eiwBUmBEmWR6+TCymLrzFS9fVM7hV0YmLKISVk/82r45z7e7UARBqWTlzpdPOP2RbgzBLXCkiNFZgP7hi1EAER9ZRHoNlR5AssLbkQcUxYxKfsjGABcR+n/S4you58JHA8sEmGYCPWzLyeo8iowFxgWxvXTIF9WFlFXFuvI2MpiznD3W6j428jNA6NGbMwbKgaVvWzmAxf/AnU/g+8XV0hitC8ugdERwFjgLg0sj3ei8lIEzAL2V2VpNq+dKp5Xzc/An1T5NWx5ksWNkb1HQdeT4c2n4eOromjU9dLbzs2Ut5brhzOnw/p1MHe2eUPlJ6YsqqCqLHf+n6cNcAXQG/gv8E9osFW23ApFGAHsp0rvTNSfCUSYDQxU5YOwZUmGKLjsJorIobtD1zkw581MjUER3gUuVWVmkPUaESLsU4H5WECbg46BRT/BBT9nK1wIaG3QBaA9wu6DJGR+BPScsOVIXu7cCO6YrWB9oCtAm4fdXiuZK2azyACqfK3KUDh7CtzSoLJbYduMHKJTZ+weAgvuEzn0cZE+U0U6jHOz4MiSo0buWIH2ouYFVNarDzIxBj3Him1J0wXaiDZ2ziKjNGrs/0Bps6cIopqJpPQN5sKA7Up93yN/SOoTyJ1ts1KK10YjInFlRGiIU8D7wsFHZEGp7Qis0AQj9Rq5ia0sMkost8JmrYH3RThRhOrBXrPtKPhHvWytZgLgE2AfkeiPRRFp2FbkSZFH9oJ794dLv8+UF5BIgyK3Koy9OhRBRNhJhONFGCnCBBEWA8uBvwO7wpqlWXBt3QlYFmB9RhQJex8sn0vs/eLGrUB7gr7jRY8dBFo7mGtGI2FTcjLrctCdw5ajahnr9mhH3d8WgR7ENlvgln/FSq6UmXFz2gL455Gg/XG52V8HXQO6CvRV0H+A/hW0DWj1+GMwSFlPnQFDV0UlKrOVzBTzhsowVXlUedFKOwFXAgcAdwP3qfJj6tfrMA6mnFp5e6T7eNWZkQy/IMJLwH9UmRC2LH6I1OtxELVfmcwP0gj4ETiKP+kH/HaMavEk9xkE2Aqo6RW/fyf4/oBz4N6DKt/Dv6+Fmybh7DwfA7M1gaivyXr1JUoueYQZ6WPKIiKI0Ba4HDgO53Z7hypfJ19PgyI4cx7cVCdXfsAijAJ+V+W6sGWpiIg0bEfdVZNYX6tRmb//CBxJQz5k0XpoVBNn/9vklY1e8ft3Au8PORru9Akl03ua6nORCZWfixMTI3XMwB0RVJkDnCHCTrhosp+KMBEYrcq8xGtaWw0W/Qo9noftmuZIqspPgFPDFsKPveBfT1RQFACNgKf4iWNpMmk+G/sBm1WDcVgQ+WAcFPs8hMM3npenzZ654RFmBEHkjYqFhirLVBkK7AIsBKaJ8IIIHROsYgDs/JjqW6eoPtdVdWb/iCsKcMoiku6zc2FQP+puqLgv+CPQj7ob5rPpbFU2BaUoHNEOoSFCNRGGQ/PdLS5U4WDbUBFHhDrAmbi4TyuAW4GXVNni89nqwGJcoptPsipoGnhy/ww0V+WnsOWpSCI2i+CvmRk7Q/pysS0wDqgHQ4fB6vFmsygMTFnkCCLUAPrgjOG1gNHA46psLH2w7N4WtmsB9x2Qaz9WEd4BrlTlzbBl8UOkXo928PwTrK/Vj7ob3oeemVIUUUWEDsATwOPAcFU2R1WpGcFjyiLH8LxuuuFiUO0Bbz8M/z4FxrbK5dmdCPcB81W5K2xZYiEiDfeCf82FQaoauRVQkJQqgZKYZrcugU4DgbNVeSlk8YwQMGWRw4hwAAx5Fm5qmeseKSIMBg5S5eywZSl0/F1ir90AdY9QvWlGyOIZIWEG7hxGlVnw9aI88UjJl9wWeYBfPKm/14Lp54UplREupixynrzJVPYZsKdnm0kLFypjvwkiXVaJHL9K5OAJEQ+mGDFyJUiikU1MWeQ80XazTBRV1gFfA7ulU49TCkdMhy494aUm8EITmNoT/jLdFEbVlMSjgh/2zJMJiBEgdigvx1Fdu0SkQTdYmA8eKSXhyuemXkXbUdC2pUtcWHYb5YGW0H0UkDN2nGxS3k6xGhgB3Eh5p4ncmoAYwWLKIg/wFEM+PARL7BbjU6+ieQu3YLZtlOQoa6eoBwwBbgZmfwtrXsvhCYgRELYNZUSJtIzcIrSG1vvAFvy3UX74Lh3h8puKdoqWuJXFVvNyJAqAkWFMWRhRIuWseSIcDsyAHrfDnKVuG6WsHeeyX+BfrUWoH5CseUbeOEoYGcLOWRiRwTtwuBrYK5HQ22W+dzZwE9BflSlu/731GGjYHrYGvnsHFl4Kq68G9gCO9gzqkaLyQbjsbf34n60Y8Tt0PEe1z8PZkMGINqYsjEghwuu4SLtxQ2l4MaVuAY7HxcP6Is7nqwEPAG2AY6KkMKKQG6Jy6I5BE+CMu4Ex0ODpsBSZEQ1MWRiRQoR/At+qckuczzXAxSiqC/RV5YcE668GPAjsDByrWmnvJRRi54boMxEm9Qo2qm0yctECvnwF7m4JN9fP5ZAyRnqYzcKIGnGN3CIUATOAb4CjElUUAF603nNw0XlfEqFu6qIGgwh7wiHd/D24Djga+FqEJ0W4UCS7+cpVWQ4D55QqihK5Ip3X3cgApiyMqFGlkdvL6/EO8G9gsCqbkr1AGYWxDHgxLIUhQlsRngSmwc8r/Q3M054GDgNewfXLU8AaEV4S4UoROohQM7OSbtvEXJENUxZG1JgPtPLyeJRDhDOACcCZqtyVztaMKr8DZ+FWJy+ItN9NpMM4kT5T3Wswp71LTkWXrVeEvUV4GngNmAW0hqd7xTqJr8pCVR5R5RxVdgN2x6XebYbL275GhOki3CjCkRU9vvxkSK4V5illAKpqxUqkCugnoAeV+X810JtBF4LuGfC1qsMnE+Ci9bBOQdW99l8A9YvSq7t+kaunbL0XroOF34EOA61X+fPtx0Gvqe41seuDNgA9CnQU6Bug60A/BB0DLwyC0xel0zb/dqTfP1Zyq5iB24gcIjwCvKXKgyJsjcvM1gjoo8rq4K/XaTxMPqWycfnkV+GFv+EiHWxV4TWBv51zMty5b+V6j3lC9Y2Tg25HaXuoBRwIHAqXXgg37phuCHu3GjngVujUG6Y9CZ9ea8btwsLCfRiRwj2U+raF+l1F5h8D9+4Gu74L/FWVjZm5apNm/nvye3YC7gA2e2VTjNcYf6vTyL/exk0y0w6HKhtwDgAzRJYeCfV2rCxDcvYGTzH8VYTPgVtUWRKIsEbOYMrCiAylZw3uLjlr0BwuWwOP36i6NkOKAkr35CvOvt98QTX1mFsis5pBsU9iqmzu9cdqW8oyvAscDHyarmRGbmEGbiNC+CXdub1x5l00MxXmPQrh4/1kGPptGjK8BxwSjGxGLmErCyNChJN0J1Nh3qMQPr6yDJt/gzvawQObU6zyXeDCIGU0cgNTFkaECHzLJGEyFeY9CuHjK8ogwnDgYRGOVHfmJBk+A1qKsI0qPwcophFxbBvKiBBR2LYpCG7GhUm5ONkvqrIZ+Ag4KGihjGhjrrNGpKgczM4C1mUCl/uDd4HOqsllJhThVmCtKhbuo4AwZWEYBYoI5wAXAAcn45Ys8uIgmDYCln5pEWgLB1MWhlGgePlDngfmqXJ1Yt9pUAS9p8G9RRaBtrAwZWEYBYwI2+OCN56kyltVf7ZBEbSdClNapXsi3Mg9zMBtGAWMKt8B5wKPejlCfCk9MNm1lUWgLUxMWRhGgaPKS8D/AXfG/lTJgcmtsAi0hYkpC8MwAC4DOonQ2//tkgOTA4DrMPfmwsMO5RmGgSrrRDgNeF6Ed1RZWf4TJQcmWwIXAbfhYiZOXQxzzLhdANjKwjAMAFR5F/gX8JDnKVWGsgcmWwLDgKULYU5XUxSFgXlDGYbxByJshQtv/rAqY8u/16AI+r0ANevDRzPsfEVhYcrCMIxyiLAb8DbQSZUvKrz3BPCiKuNDEc4IDduGMgyjHJ6CGAmM81YaZWkDfJl9qYywsZWFYRiV8GwWLwMfqjKyzN9+AZqr8lOY8hnZx1YWhmFUQhUFzgbOFfkj2VEzoNgURWFiysIwDF8899nzgcdE2BrbgipobBvKMIwqEeG/MLsW/HNnaLwTvDfVPKEKD1MWhmFUichf2sIuH8OoGhZptnCxbSjDMOKw5qpSRQHu9f7WLl6UUSiYsjAMIw4lcaHKYpFmCw1TFoZhxKEkLlRZLNJsoWHKwjCMOJSNCwUWabYwMQO3YRhx8bLkjXJbT6ss73YBYsrCMAzDiIttQxmGYRhxMWVhGIZhxMWUhWEYhhEXUxaGYRhGXExZGIZhGHExZWEYhmHExZSFYRiGERdTFoZhGEZcTFkYhmEYcTFlYRiGYcTFlIVhGIYRF1MWhmEYRlxMWRiGYRhxMWVhGIZhxMWUhWEYhhEXUxaGYRhGXExZGIZhGHExZWEYhmHExZSFYRiGERdTFoZhGEZc/h+E/nIn896vrAAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "do(improve_divide_tsp, sample(USA, 110))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "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", "\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", "\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](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 links.\n", "* A **vertex** is a point (such as a city).\n", "* A **link** is an edge between two vertexes. Links have lengths.\n", "\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 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 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", "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", "\n", "# Creating a Minimum Spanning Tree (`mst`)\n", "\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](https://en.wikipedia.org/wiki/Robert_C._Prim)'s algorithm:\n", "\n", "> **[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": 49, "metadata": {}, "outputs": [], "source": [ "def mst(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", " links = shortest_links_first(vertexes)\n", " while len(tree) < len(vertexes):\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" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's see what a minimum spanning tree looks like:" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1089 node Graph of total length: 37868.3\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "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", " if len(graph) > 1000: plt.figure(figsize=(15, 7.5))\n", " for link in links:\n", " plot_segment(link, 'b.-')\n", "\n", " \n", "plot_graph(mst(USA))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "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", "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", "\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": 51, "metadata": {}, "outputs": [], "source": [ "def mst_tsp(cities):\n", " \"Create a minimum spanning tree and walk it in pre-order, omitting duplicates.\"\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", " yield root\n", " for child in tree.get(root, ()):\n", " yield from preorder_traversal(tree, child)\n", " \n", "def improve_mst_tsp(cities): return improve_tour(mst_tsp(cities))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "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": 52, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "mst: 1089 cities ⇒ tour length 58059 (in 0.879 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "do(mst_tsp, USA)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "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", "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", "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 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 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: `held_karp_tsp`\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", "| ![](http://imgs.xkcd.com/comics/travelling_salesman_problem.png) |\n", "|----|\n", "| [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 `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", "\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 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": 53, "metadata": {}, "outputs": [], "source": [ "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 - {A})\n", "\n", "# TO DO: function: shortest_segment(A, Bs, C)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "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 `@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": 54, "metadata": {}, "outputs": [], "source": [ "@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", " return min((shortest_segment(A, Bs - {B}, B) + [C] 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", " # Same as tour_length, but without distance(tour[0], tour[-1])\n", " return sum(distance(segment[i], segment[i-1]) \n", " for i in range(1, len(segment)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "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": 55, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "exhaustive: 10 cities ⇒ tour length 2720 (in 1.611 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": [ "do(exhaustive_tsp, Cities(10))" ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "held_karp: 10 cities ⇒ tour length 2720 (in 0.032 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "do(held_karp_tsp, Cities(10))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "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": 57, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "held_karp: 18 cities ⇒ tour length 2771 (in 42.475 sec)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "do(held_karp_tsp, Cities(18))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "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*|Exhaustive Search|Held Karp|\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", "\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 result:" ] }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [], "source": [ "ensemble = {rep_improve_nn_tsp, improve_greedy_tsp, improve_mst_tsp, improve_divide_tsp}\n", "\n", "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": 59, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ensemble: 110 cities ⇒ tour length 14727 (in 0.388 sec)\n" ] }, { "data": { "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": {}, "output_type": "display_data" } ], "source": [ "do(ensemble_tsp, set(sample(USA, 110)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Review\n", "\n", "Here are the algorithms we developed, sorted by strategy:\n", "\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", "- **Iterative Improvement Strategy**: `improve_nn_tsp`, `improve_greedy_tsp`, `improve_divide_tsp`, `rep_improve_nn_tsp`, `improve_mst_tsp`\n", "\n", "\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** 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": 60, "metadata": {}, "outputs": [], "source": [ "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": 61, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(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": 61, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# A tiny test of sets of 2 cities each:\n", "TestSuite(4, 2)" ] }, { "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. 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": 62, "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 = [round(tour_length(algorithm(cities)), 4) for cities in tests] \n", " t1 = clock()\n", " return lengths, (t1 - t0) / len(tests)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Boxplots\n", "\n", "A **boxplot** is a standard statistical visualization tool. I'll plot first, explain later. " ] }, { "cell_type": "code", "execution_count": 63, "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.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', notch=True)\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": "code", "execution_count": 64, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "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(50, 200))" ] }, { "cell_type": "markdown", "metadata": {}, "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; 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", "# 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": 65, "metadata": {}, "outputs": [], "source": [ "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": 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 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." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Comparsion of Improved Algorithms\n", "\n", "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", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " #1 #2 #3 #4 #5 | Algorithm\n", " --- --- --- --- --- | ---------\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" ] } ], "source": [ "improved = [improve_greedy_tsp, rep_improve_nn_tsp, improve_divide_tsp, improve_nn_tsp, improve_mst_tsp]\n", "\n", "compare(improved)" ] }, { "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 similar things to what `improve_tour` does. The minimum spanning tree algorithm is no longer terrible.\n", "\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": 69, "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", " 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" ] } ], "source": [ "compare([improve_greedy_tsp] + [bind(rep_improve_nn_tsp, k) for k in (15, 10, 5, 3, 1)])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "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 always dominates the others, maybe it is time for the **ensemble strategy**:" ] }, { "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", " 50 0 0 0 | ensemble\n", " 28 0 19 3 | rep_improve_nn\n", " 18 0 20 12 | improve_greedy\n", " 4 0 11 35 | improve_mst\n" ] } ], "source": [ "ensemble = (rep_improve_nn_tsp, improve_greedy_tsp, improve_mst_tsp)\n", "\n", "compare((ensemble_tsp, *ensemble))" ] }, { "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 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": 71, "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 15 1 | rep_improve_nn\n", " 14 0 12 4 | improve_greedy\n", " 2 0 3 25 | 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, Exhaustive Search and Held-Karp, to the (approximate) ensemble algorithm. I'll try both 9 and 10-city test suites:" ] }, { "cell_type": "code", "execution_count": 72, "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", " 200 0 0 | exhaustive\n", " 200 0 0 | held_karp\n", " 194 0 6 | ensemble\n" ] } ], "source": [ "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))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "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", "\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**: 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 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", "* The code in this notebook was designed for clarity, not efficiency. Can you make the code faster?\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?" ] } ], "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 }