diff --git a/ipynb/xkcd-Name-Dominoes.ipynb b/ipynb/xkcd-Name-Dominoes.ipynb index 13054d4..dd348ac 100644 --- a/ipynb/xkcd-Name-Dominoes.ipynb +++ b/ipynb/xkcd-Name-Dominoes.ipynb @@ -5,15 +5,14 @@ "metadata": {}, "source": [ "
Peter Norvig
21 March 2018
\n", + "\n", "# `xkcd` Name Dominoes\n", "\n", "The March 21, 2018 `xkcd` comic number 1970 was [Name Dominoes](https://xkcd.com/1970/): domino tiles laid out in a legal array,\n", - "but with each tile having names of famous poeple rather than numbers. In regular [dominoes](https://en.wikipedia.org/wiki/Dominoes), each tile has two halves, and a tile can be legally placed only if one half is adjacent to another tile with the same number/name, and neither half is adjacent to any tile with a different number/name. (The very first tile in a game has no adjacent tiles, so it can be placed anywhere.) `xkcd 1970` also allows some tiles to three names, with matches allowed against the middle name; I won't allow that.\n", + "but with each tile having names of famous poeple rather than numbers. In regular [dominoes](https://en.wikipedia.org/wiki/Dominoes), each tile has two halves, and a tile can be legally placed only if one half is adjacent to another tile with the same number/name, and neither half is adjacent to any tile with a different number/name. (The very first tile in a game has no adjacent tiles, so it can be placed anywhere.) I will write a function to lay out dominoes in a random, legal array. I'll start with two key data structures:\n", "\n", - "I will write a function to lay out dominoes in a random, legal array. I'll start with two key data structures:\n", - "\n", - "- **`Board(n)`**: Creates an [n × n] 2-dimensional array of locations; each location holds as a value one half of a tile, or it can be `empty`, or it can be a `border`, meaning nothing can be placed there.\n", - "- **`tiles(text)`**: a function to create a list of tiles, each of which is a 2-element list, like `['a', 'b']`, indicating the two halves. The input is a string, consisting of comma-and/or-space-separated tiles, where the two halves of the tile are separated by a `|` character." + "- **`Tile`**: a tile is a 2-element tuple, like `('Tim', 'Cook')`, indicating the two halves.\n", + "- **`Board(n)`**: Creates an [n × n] 2-dimensional array of locations; each location holds as a value one half of a tile, or it can be `empty`, or it can be a `border`, meaning nothing can be placed there.\n" ] }, { @@ -27,6 +26,8 @@ "empty = ' '\n", "border = '--'\n", "\n", + "Tile = tuple\n", + "\n", "class Board(list):\n", " \"A board is a 2d array of values.\"\n", " \n", @@ -38,7 +39,9 @@ " \n", " def get(self, loc): return self[loc[1]][loc[0]]\n", " \n", - " def put(self, loc, value): self[loc[1]][loc[0]] = value" + " def put(self, loc, value): self[loc[1]][loc[0]] = value\n", + " \n", + "tiles1 = [('Bo', 'Ja'), ('Ja', 'Po'), ('Ja', 'Ry'), ('Ry', 'Ke'), ('Gr', 'Ke'), ('Gr', 'Ho')]" ] }, { @@ -68,50 +71,6 @@ "Board(4)" ] }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "def tiles(text):\n", - " \"tiles('Bo|Ja, Ja|Po') => [['Bo', 'Ja'], ['Ja', 'Po']\"\n", - " return [tile.split('|') for tile in split(text)]\n", - "\n", - "def split(text): return text.replace(',', ' ').split()\n", - "\n", - "tiles1 = tiles('Bo|Ja, Ja|Po, Ja|Ry, Ry|Ke, Gr|Ke, Gr|Ho')" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "[['Bo', 'Ja'],\n", - " ['Ja', 'Po'],\n", - " ['Ja', 'Ry'],\n", - " ['Ry', 'Ke'],\n", - " ['Gr', 'Ke'],\n", - " ['Gr', 'Ho']]" - ] - }, - "execution_count": 4, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "tiles1" - ] - }, { "cell_type": "markdown", "metadata": {}, @@ -130,7 +89,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 3, "metadata": { "collapsed": false }, @@ -139,15 +98,15 @@ "data": { "text/plain": [ "[['--', '--', '--', '--', '--', '--', '--'],\n", - " ['--', ' ', ' ', 'Ja', 'Ja', 'Bo', '--'],\n", - " ['--', ' ', 'Ry', 'Ry', ' ', ' ', '--'],\n", - " ['--', ' ', 'Ke', ' ', ' ', ' ', '--'],\n", - " ['--', ' ', 'Ke', 'Gr', ' ', ' ', '--'],\n", - " ['--', ' ', ' ', 'Gr', 'Ho', ' ', '--'],\n", + " ['--', 'Ho', ' ', 'Po', 'Ja', ' ', '--'],\n", + " ['--', 'Gr', 'Gr', ' ', 'Ja', 'Bo', '--'],\n", + " ['--', ' ', 'Ke', ' ', 'Ja', ' ', '--'],\n", + " ['--', ' ', 'Ke', 'Ry', 'Ry', ' ', '--'],\n", + " ['--', ' ', ' ', ' ', ' ', ' ', '--'],\n", " ['--', '--', '--', '--', '--', '--', '--']]" ] }, - "execution_count": 5, + "execution_count": 3, "metadata": {}, "output_type": "execute_result" } @@ -225,9 +184,9 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 4, "metadata": { - "collapsed": true + "collapsed": false }, "outputs": [], "source": [ @@ -244,7 +203,8 @@ " for (y, row) in enumerate(board):\n", " for (x, val) in enumerate(row):\n", " if val is not border:\n", - " plt.text(x + 0.5, y + 0.3, val, ha='center', fontsize=9)\n", + " plt.text(x + 0.5, y + 0.3, val.replace('-', ' '),\n", + " ha='center', fontsize=8)\n", " \n", "class Board(list):\n", " \"A board is a 2d array of values.\"\n", @@ -274,16 +234,16 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -298,12 +258,379 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Scaling Up Names\n", + "# All the Names\n", "\n", - "Now let's try with more tiles, with names taken (mostly) from `xkcd 1970`, and with approximate matches, like \"Amy\" matching \"Aimee\".\n", + "Now let's try **all** the names from `xkcd 1970`, as reported \n", + "by [explainxkcd](http://www.explainxkcd.com/wiki/index.php/1970:_Name_Dominoes), with a few typo corrections:" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "270" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "def split_names(text):\n", + " \"For each line of text, create a Tile of ('First Name(s)', 'Lastname').\"\n", + " return [name.rpartition(' ')[0::2]\n", + " for name in text.strip().splitlines()]\n", + " \n", + "tiles1970 = split_names(\"\"\"\n", + "Christian Campbell\n", + "Neve Campbell\n", + "Joe McCarthy\n", + "Eugene McCarthy\n", + "Gene Vincent\n", + "Gene Kelly\n", + "Kate Hudson\n", + "Rock Hudson\n", + "Gordon Brown\n", + "James Brown\n", + "Jon Brown\n", + "John Howard\n", + "Columbo\n", + "Chris Columbus\n", + "Christopher Columbus\n", + "Naomi Campbell\n", + "Joseph Campbell\n", + "Joseph Smith\n", + "Frank Vincent\n", + "John Kelly\n", + "Katherine Johnson\n", + "The Rock\n", + "Chris Rock\n", + "Chris Isaac\n", + "James Newton Howard\n", + "John Wayne\n", + "Howard Stern\n", + "Howard Hunt\n", + "Chris Hughes\n", + "Naomi Watts\n", + "Naomi Klein\n", + "Kevin Kline\n", + "Francis Bacon\n", + "Francis Drake\n", + "Lyndon Johnson\n", + "Oscar the Grouch\n", + "Oscar Isaac\n", + "Isaac Hayes\n", + "Isaac Newton\n", + "Wayne Newton\n", + "Wayne Knight\n", + "Helen Hunt\n", + "Helen Hughes\n", + "James Watt\n", + "James Watt\n", + "Kevin Costner\n", + "Kevin Bacon\n", + "Kevin Love\n", + "Lisa Frank\n", + "Frank Drake\n", + "Drake\n", + "Oscar de la Renta\n", + "Oscar de la Hoya\n", + "Sean Hayes\n", + "Wallace Shawn\n", + "Wayne Howard\n", + "Wayne Brady\n", + "James Brady\n", + "Tom Brady\n", + "Helen Thomas\n", + "Tom Hanks\n", + "Hank Aaron\n", + "Aaron Carter\n", + "Stephen James\n", + "Will Smith\n", + "Kevin Smith\n", + "Kein James\n", + "Garfield\n", + "James Garfield\n", + "Warren Buffett\n", + "Jimmy Buffett\n", + "Warren Beatty\n", + "Elizabeth Warren\n", + "Earl Warren\n", + "Eliabeth Kolbert\n", + "Stephen Colbert\n", + "George Wallace\n", + "Charles Wallace\n", + "James Monroe\n", + "Marilyn Monroe\n", + "Hank Williams\n", + "William C. Williams\n", + "Steve Harvey\n", + "Domino Harvey\n", + "Harvey Milk\n", + "James Saint James\n", + "Etta James\n", + "Jim Jones\n", + "James Earl Jones\n", + "Charlie Parker\n", + "Ray Parker\n", + "Ray Charles\n", + "Charles Manson\n", + "Marilyn Manson\n", + "Robin Williams\n", + "Billy D. Williams\n", + "Will Wright\n", + "Fats Domino\n", + "Bill Clinton\n", + "Jimmy John\n", + "Tom Jones\n", + "Tommy John\n", + "Quincy Jones\n", + "James Earl Ray\n", + "Man Ray\n", + "Rachel Ray\n", + "Ray Allen\n", + "Tim Allen\n", + "Tim Cook\n", + "Tim Howard\n", + "Robin Wright\n", + "Wilbur Wright\n", + "Fatty Arbuckle\n", + "Fat Joe\n", + "George Clinton\n", + "John Kerry\n", + "Kerry Washington\n", + "John Irving\n", + "John Quincy Adams\n", + "John Adams\n", + "Amy Adams\n", + "Aimee Mann\n", + "Super Man\n", + "Bat Man\n", + "Ayn Rand\n", + "Lily Allen\n", + "Paul Allen\n", + "Ron Howard\n", + "Howard Hughes\n", + "Joe Kennedy\n", + "George Bush\n", + "George Wasington\n", + "Wasington Irving\n", + "Martha Wasington\n", + "Ma Rainey\n", + "Jack Ma\n", + "Super Grover\n", + "Jack Black\n", + "Rand Paul\n", + "Paul Ryan\n", + "Paul Simon\n", + "Ron Paul\n", + "John Hughes\n", + "Langston Hughes\n", + "John F. Kennedy\n", + "Little Richard\n", + "Rich Little\n", + "Martha Stewart\n", + "Yo Yo Ma\n", + "Ma Bell\n", + "Grover Cleveland Alexander\n", + "Grover Cleveland\n", + "Jack White\n", + "Jack Ryan\n", + "Debby Ryan\n", + "Carly Simon\n", + "Carly Hughes\n", + "Charles Evans Hughes\n", + "John Williams\n", + "Little John\n", + "Stuart Little\n", + "Potter Stewart\n", + "Kristen Stewart\n", + "Kristen Bell\n", + "Kristen Hooks\n", + "Alexander Graham Bell\n", + "Franklin Graham\n", + "Lloyd Alexander\n", + "Meg White\n", + "Meg Ryan\n", + "Debbie Reynolds\n", + "John Reynolds\n", + "Carly Fiorina\n", + "Grace Lee Boggs\n", + "Wade Boggs\n", + "William Safire\n", + "Prince William\n", + "Little Prince\n", + "Harry Potter\n", + "James Potter\n", + "James Hook\n", + "James Dean\n", + "Aretha Franklin\n", + "Frank Lloyd Wright\n", + "Barry White\n", + "Walter White\n", + "Walt Whitman\n", + "John Kelly\n", + "Grace Lee\n", + "Nancy Grace\n", + "Garnet\n", + "Prince\n", + "Prince Felder\n", + "Prince Harry\n", + "Harry Styles\n", + "John Dean\n", + "Benjamin Franklin\n", + "Harrold Lloyd\n", + "Harrold Ford\n", + "Betty White\n", + "Meg Whitman\n", + "Christine Todd Whitman\n", + "Megyn Kelly\n", + "Grace Kelly\n", + "Grace Jones\n", + "Jack Nicholson\n", + "Jack Ruby\n", + "Jack Russel\n", + "Harry Fielder\n", + "Harry Trueman\n", + "Harry Jon Benjamin\n", + "John Edward\n", + "Benjamin Harrison\n", + "Harrison Ford\n", + "Henry Ford\n", + "Betty Ford\n", + "Betty Friedan\n", + "Chris Christie\n", + "Chris Pratt\n", + "Maggie Grace\n", + "Grace Hopper\n", + "Russel Crowe\n", + "Russ Smith\n", + "John Smith\n", + "Justin Long\n", + "John Bel Edwards\n", + "John Candy\n", + "John Henry\n", + "Henry James\n", + "Bill James\n", + "Chris Cooper\n", + "Chris Hemsworth\n", + "Chris Evans\n", + "Topher Grace\n", + "Van Morrison\n", + "Sheryl Crow\n", + "Sheryl Sandberg\n", + "Cameron Crow\n", + "Long John Silver\n", + "Olivia Newton John\n", + "Huey long\n", + "John Edwards\n", + "Candy Crowley\n", + "Aleister Crowley\n", + "James Fenimore Cooper\n", + "James Cook\n", + "Robert Frost\n", + "Bob Evans\n", + "Evan Tayler Jones\n", + "James Cameron\n", + "Cam Newton\n", + "Cameron Diaz\n", + "Huey Newton\n", + "Huey Lewis\n", + "John Lewis\n", + "Jenny Lewis\n", + "Ryan Lewis\n", + "Burt Reynolds\n", + "Alistair Cooke\n", + "Alistair Cookie\n", + "Cokie Roberts\n", + "John Roberts\n", + "Robert Johnson\n", + "Robert E. Lee\n", + "Tommy Lee\n", + "Tommy Lee Jones\n", + "Etta James\n", + "John Oliver\n", + "Ryan Reynolds\n", + "Alastair Reynolds\n", + "\"\"\")\n", "\n", - "With many names, the program can get stuck before it has placed many tiles. I could modify the program to *back up* in this case, but it will be easier to just add a new function, `best_dominoes(tiles, repeat=R)` that calls `dominoes` R times, and returns (and optionally displays) the\n", - "board that has placed the most tiles out of those R boards (as measured by `len(board.boxes)`)." + "len(tiles1970)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Approximate and Partial Matches\n", + "\n", + "The halves of two tiles match if they are an exact match, like \"Amy\" and \"Amy\", but also if they are an **approximate match**, like \"Amy\" and \"Aimee\". You can manually allow for this with:\n", + "\n", + " synsets = synonyms(\"Amy=Aimee, ...\")\n", + "\n", + "Another issue is a **partial match**: \"John Smith\" is allowed to match \"Long John Silver\"\n", + "because the first name \"John\" is a piece of the first name \"Long John\". allowed to match. If you pass in a list of tiles as a second argument to `synsets`, then all the pieces of a first name (if it has more than one piece) will be (individually) made synonyms of the whole first name.\n", + "\n", + "I also update `legal_match` to consult the `synsets` global variable for an approximate or partial match, and to handle a special case: a single names like \"Prince\" gets represented as the tile `('', 'Prince')`, but we don't want the empty first name of this tile to match the empty first name of \"Drake\", so we disallow an empty-to-empty match." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "import collections\n", + "\n", + "Synset = set\n", + "\n", + "def synonyms(text, tiles=()): \n", + " \"synonyms('a=A, b=B') => dict(a={'a', 'A'}, A={'a', 'A'}, b={'b', 'B'}, B={'b', 'B'}\"\n", + " synsets = collections.defaultdict(set)\n", + " # Process `text`\n", + " for text1 in text.split(','):\n", + " synset = Synset(text1.strip().split('='))\n", + " for s in synset:\n", + " synsets[s] |= synset\n", + " # Process `tiles`\n", + " for (first, last) in tiles:\n", + " if ' ' in first:\n", + " for piece in first.split():\n", + " synsets[piece].add(first)\n", + " synsets[first].add(piece)\n", + " return synsets\n", + "\n", + "synsets = synonyms(\"\"\"\n", + " Amy=Aimee, Cook=Cooke=Cookie=Cokie, Alastair=Alistair, Columbo=Columbus, \n", + " Safire=Sapphire=Garnet, Garnet=Ruby, Charlie=Charles, Sean=Shawn, \n", + " Jimmy=James, Man=Mann, Jack=John, Tom=Tommy, Will=William=Williams, \n", + " Robert=Roberts=Bob, Cam=Cameron, Oliver=Olivia, Edward=Edwards, \n", + " Rich=Richard, Oscar=Oscar, Frank=Frank, Chris=Christopher=Topher,\n", + " Fat=Fats=Fatty\n", + " \"\"\", tiles1970)\n", + "\n", + "def legal_match(value, nbrval):\n", + " \"Does this value match the neighbor's value?\"\n", + " if value == '' == nbrval: return False\n", + " return (nbrval == value or nbrval is empty or nbrval is border or\n", + " nbrval in synsets[value])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Random Restart\n", + "\n", + "With many tiles, the program can get stuck before it has placed enough tiles. I could modify the program to *back up* in this case, but it will be easier to just *give up* and start again with an empty board. I can repeat this multiple times, and take the board on which the most tiles were placed. The function `best_dominoes` does this, and optionally plots the result. (I could fit more tiles on a larger square (with smaller tiles), but then the text would overflow the tiles even more than now.)" ] }, { @@ -312,72 +639,19 @@ "metadata": { "collapsed": false }, - "outputs": [], - "source": [ - "tiles2 = tiles(\"\"\"\n", - " The|Rock, Chris|Rock, Rock|Hudson, Chris|Isaac, Isaac|Newton, Olivia|Newton-John, Isaac|Hayes, \n", - " Sean|Hayes, Wallace|Shawn, Charles|Wallace, George|Wallace, Charles|Manson, Ray|Charles, \n", - " Rachel|Ray, Ray|Allen, Tim|Allen, Lily|Allen, Tim|Cook, James-Earl|Ray, James-Earl|Jones, \n", - " Man|Ray, Ray|Mann, Bat|Man, Super|Man, Tim|Howard, Ron|Howard, Ron|Paul, Paul|Allen, \n", - " Rand|Paul, Ayn|Rand, Paul|Ryan, Jack|Ryan, Debby|Ryan, Paul|Simon, Carly|Simon, John|Kelly, \n", - " Megyn|Kelly, John|Henry, Grace|Kelly, Grace|Jones, Grace|Hopper, Jack|Ma, Ma|Bell, Yo-Yo|Ma, \n", - " Jack|Ruby, Jack|Russell, Marilyn|Manson, Marilyn|Monroe, James|Monroe, George|Bush, \n", - " George|Clinton, Bill|Clinton, Jack|White, Meg|Ryan, Meg|White, Barry|White, Walter|White, \n", - " Betty|White, Charlie|Parker, Tommy|John, John|Kerry, Kerry|Washington, Jimmy|John, \n", - " John|Adams, Amy|Adams, Aimee|Man, Benjamin|Harrison, Benjamin|Franklin, Aretha|Franklin, \n", - " Franklin|Graham, James|Garfield, Garfield|, Kristen|Bell, Kristen|Stewart, Martha|Stewart, \n", - " Martha|Washington, Wsshington|Irving, John|Irving, Jimmy|Buffett, Jimmy|Jones, Warren|Buffett, \n", - " Elizabeth|Warren, Betty|Ford, Henry|Ford, Harrison|Ford, Kevin|Bacon, Kevin|Kline, Kevin|Love, \n", - " Kevin|Smith, Kevin|Costner, Will|Smith, Tommy|Lee, Robert-E|Lee, John|Wayne, Wayne|Newton, \n", - " Wayne|Knight, Wayne|Howard, Wayne|Brady, Tom|Brady, James|Brady, Cam|Newton, Cameron|Diaz,\n", - " James|Cameron, Etta|James, John|Oliver, John|Candy, John|Edward, John|Edwards, John|Lewis,\n", - " Huey|Lewis, Huey|Newton, Huey|Long, Long|John-Silver, Prince|, Prince|Harry, Harry|Potter,\n", - " Harry|Truman, Little|Prince, Stuart|Little, Little|Richard, Rich|Little, Chris|Pratt,\n", - " Chris|Evans, Bob|Evans, Tommy|Lee-Jones, Super|Grover\n", - " \"\"\")\n", - "\n", - "def synonyms(text): return [set(group.split('=')) for group in split(text)]\n", - "\n", - "match_groups = synonyms(\"\"\"\n", - " Charlie=Charles, Newton=Newton-John, Sean=Shawn, James=James-Earl=Jimmy, Man=Mann, Amy=Aimee,\n", - " Jack=John=John-Silver, Tom=Tommy, Will=William, Robert-E=Robert=Bob, Cam=Cameron, Oliver=Olivia,\n", - " Edward=Edwards, Rich=Richard, Lee=Lee-Jones, Jones=Lee-Jones\n", - " \"\"\")\n", - "\n", - "def legal_match(value, nbrval):\n", - " \"Does this value match the neighbor's value?\"\n", - " return (nbrval in (empty, border, value) or \n", - " any(value in group and nbrval in group\n", - " for group in match_groups))\n", - "\n", - "def best_dominoes(tiles, n=24, figsize=16, verbose=True, repeat=300):\n", - " board = max((dominoes(tiles, n) for _ in range(repeat)), \n", - " key=lambda board: len(board.boxes))\n", - " if verbose:\n", - " print(len(board.boxes), '/', len(tiles), 'tiles placed')\n", - " plot_board(board, figsize)\n", - " return board" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": { - "collapsed": false - }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "110 / 126 tiles placed\n" + "110 / 270 tiles placed\n" ] }, { "data": { - "image/png": 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Lxh1i3JIsBxj3thhAa8YQrXC/SGtXVRl3hqGYOF+9bkwvW0QlSZIkSb2yEJUk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MysUG6ImpmZmZmZWaHcEDUzMzMzM7NCuSFqZmZmZmZmhfLPt1hTko4ExpYdB1D7ceRnS40CdoOu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\ndQxapcVVNTHqIMbBoObc9SHNCAvB43VgX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ZSlpZlrvNsU2TRs+EVRqzqjoZOHnccYxDVZ0JnDnuOOayGuOrquOX+PW6LkNJ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\n6r3eVtKNqvRmS3pYa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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -385,7 +659,16 @@ } ], "source": [ - "best_dominoes(tiles2);" + "def best_dominoes(tiles, n=20, figsize=16, plot=True, repeat=30):\n", + " board = max((dominoes(tiles, n) for _ in range(repeat)), \n", + " key=lambda board: len(board.boxes))\n", + " if plot:\n", + " print(len(board.boxes), '/', len(tiles), 'tiles placed')\n", + " plot_board(board, figsize)\n", + " else:\n", + " return board\n", + "\n", + "best_dominoes(tiles1970)" ] } ],