X-Git-Url: https://git.njae.me.uk/?a=blobdiff_plain;f=04-08-amidakuji%2Famidakuji-solution-2.ipynb;fp=04-08-amidakuji%2Famidakuji-solution-2.ipynb;h=0000000000000000000000000000000000000000;hb=55f602f3ca4d1297233e471706caaad9c7a99b5e;hp=3bc37dbb8b7c474f3bf22e19e39827aa1c44d777;hpb=c1f001553a729b73032babaeb7b900a63704c436;p=ou-summer-of-code-2017.git diff --git a/04-08-amidakuji/amidakuji-solution-2.ipynb b/04-08-amidakuji/amidakuji-solution-2.ipynb deleted file mode 100644 index 3bc37db..0000000 --- a/04-08-amidakuji/amidakuji-solution-2.ipynb +++ /dev/null @@ -1,1452 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "import collections\n", - "import string\n", - "import itertools\n", - "import re" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "Link = collections.namedtuple('Link', 'height left right')" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "def extract_pairs(net_string):\n", - " return [[int(pi) for pi in p.split(', ')] for p in net_string[1:-1].split('), (')]" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "def read_net_string(net_string):\n", - " return [Link(h, l, r) for h, (l, r) in enumerate(extract_pairs(net_string))]" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "def read_net(filename):\n", - " with open(filename) as f:\n", - " pairs = [re.split('\\D+', p.strip()) for p in f.readlines()]\n", - " lrs = [(int(lr[1]), int(lr[2])) for lr in pairs]\n", - " return [Link(h, l, r) \n", - " for h, (l, r) in enumerate(lrs)]" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[Link(height=0, left=2, right=5),\n", - " Link(height=1, left=1, right=4),\n", - " Link(height=2, left=0, right=3),\n", - " Link(height=3, left=0, right=3),\n", - " Link(height=4, left=0, right=5),\n", - " Link(height=5, left=3, right=5),\n", - " Link(height=6, left=0, right=2),\n", - " Link(height=7, left=3, right=4),\n", - " Link(height=8, left=2, right=4),\n", - " Link(height=9, left=1, right=2),\n", - " Link(height=10, left=0, right=4),\n", - " Link(height=11, left=1, right=2),\n", - " Link(height=12, left=2, right=4),\n", - " Link(height=13, left=0, right=4),\n", - " Link(height=14, left=1, right=4)]" - ] - }, - "execution_count": 6, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "small_net = read_net('04-small.txt')\n", - "small_net" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "10135" - ] - }, - "execution_count": 7, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "net = read_net('04-lines.txt')\n", - "len(net)" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "def show_net(links, pair_sep=', '):\n", - " return pair_sep.join('({}, {})'.format(l.left, l.right) for l in sorted(links))" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "def link_ends(link):\n", - " return set((link.left, link.right))" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "def follow(initial_line, links):\n", - " line = initial_line\n", - " heights = sorted(set(l.height for l in links))\n", - " for h in heights:\n", - " for l in [l for l in links if l.height == h]:\n", - " if line in link_ends(l):\n", - " line = [e for e in link_ends(l) if e != line][0]\n", - "# print(l, line)\n", - " return line" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "def pack(net):\n", - " packed_links = []\n", - " line_heights = collections.defaultdict(lambda: -1)\n", - " for link in sorted(net):\n", - " link_height = max(line_heights[link.left], line_heights[link.right]) + 1\n", - " line_heights[link.left] = link_height\n", - " line_heights[link.right] = link_height\n", - " packed_links += [Link(link_height, link.left, link.right)]\n", - " return sorted(packed_links)" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "14" - ] - }, - "execution_count": 12, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "max(l.height for l in small_net)" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "10" - ] - }, - "execution_count": 13, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "max(l.height for l in pack(small_net))" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "10134" - ] - }, - "execution_count": 14, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "max(l.height for l in net)" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "2286" - ] - }, - "execution_count": 15, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "max(l.height for l in pack(net))" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "def height_groups(net):\n", - " return {h: list(g) for h, g in itertools.groupby(pack(net), lambda l: l.height)}" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "def follow_many(in_sequence, net):\n", - " hgs = height_groups(net)\n", - " seq = list(in_sequence)\n", - " for h in hgs:\n", - " for link in hgs[h]:\n", - " seq[link.right], seq[link.left] = seq[link.left], seq[link.right]\n", - " return seq" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "'acfbedghij'" - ] - }, - "execution_count": 18, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "''.join(follow_many('abcdefghij', small_net))" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "10000 loops, best of 3: 38.1 µs per loop\n" - ] - } - ], - "source": [ - "%%timeit\n", - "follow_many('abcdefghij', small_net)" - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "'doqzmbishkwunvltpcexyjgfra'" - ] - }, - "execution_count": 20, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "''.join(follow_many(string.ascii_lowercase, net))" - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "100 loops, best of 3: 19 ms per loop\n" - ] - } - ], - "source": [ - "%%timeit\n", - "follow_many(string.ascii_lowercase, net)" - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "pnet = pack(net)" - ] - }, - { - "cell_type": "code", - "execution_count": 23, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "def eliminable_pairs(net):\n", - " hgs = height_groups(net)\n", - " eps = []\n", - " for h in range(1, max(hgs.keys())):\n", - " for l in hgs[h]:\n", - " o = Link(l.height - 1, l.left, l.right)\n", - " if o in hgs[h-1]:\n", - " eps += [(l, o)]\n", - " return eps" - ] - }, - { - "cell_type": "code", - "execution_count": 24, - "metadata": { - "scrolled": true - }, - "outputs": [ - { - "data": { - "text/plain": [ - "[(Link(height=115, left=2, right=23), Link(height=114, left=2, right=23)),\n", - " (Link(height=149, left=15, right=23), Link(height=148, left=15, right=23)),\n", - " (Link(height=201, left=0, right=7), Link(height=200, left=0, right=7)),\n", - " (Link(height=207, left=22, right=23), Link(height=206, left=22, right=23)),\n", - " (Link(height=210, left=17, right=23), Link(height=209, left=17, right=23)),\n", - " (Link(height=247, left=16, right=20), Link(height=246, left=16, right=20)),\n", - " (Link(height=418, left=19, right=24), Link(height=417, left=19, right=24)),\n", - " (Link(height=424, left=9, right=21), Link(height=423, left=9, right=21)),\n", - " (Link(height=453, left=3, right=16), Link(height=452, left=3, right=16)),\n", - " (Link(height=456, left=2, right=22), Link(height=455, left=2, right=22)),\n", - " (Link(height=465, left=18, right=20), Link(height=464, left=18, right=20)),\n", - " (Link(height=491, left=14, right=18), Link(height=490, left=14, right=18)),\n", - " (Link(height=552, left=16, right=17), Link(height=551, left=16, right=17)),\n", - " (Link(height=772, left=0, right=7), Link(height=771, left=0, right=7)),\n", - " (Link(height=848, left=1, right=2), Link(height=847, left=1, right=2)),\n", - " (Link(height=895, left=6, right=21), Link(height=894, left=6, right=21)),\n", - " (Link(height=930, left=11, right=13), Link(height=929, left=11, right=13)),\n", - " (Link(height=987, left=8, right=17), Link(height=986, left=8, right=17)),\n", - " (Link(height=988, left=8, right=17), Link(height=987, left=8, right=17)),\n", - " (Link(height=1030, left=9, right=24), Link(height=1029, left=9, right=24)),\n", - " (Link(height=1134, left=4, right=23), Link(height=1133, left=4, right=23)),\n", - " (Link(height=1163, left=14, right=15), Link(height=1162, left=14, right=15)),\n", - " (Link(height=1164, left=14, right=15), Link(height=1163, left=14, right=15)),\n", - " (Link(height=1170, left=2, right=21), Link(height=1169, left=2, right=21)),\n", - " (Link(height=1232, left=6, right=22), Link(height=1231, left=6, right=22)),\n", - " (Link(height=1254, left=13, right=15), Link(height=1253, left=13, right=15)),\n", - " (Link(height=1255, left=1, right=24), Link(height=1254, left=1, right=24)),\n", - " (Link(height=1324, left=3, right=22), Link(height=1323, left=3, right=22)),\n", - " (Link(height=1370, left=15, right=19), Link(height=1369, left=15, right=19)),\n", - " (Link(height=1441, left=0, right=14), Link(height=1440, left=0, right=14)),\n", - " (Link(height=1441, left=11, right=24), Link(height=1440, left=11, right=24)),\n", - " (Link(height=1547, left=11, right=13), Link(height=1546, left=11, right=13)),\n", - " (Link(height=1578, left=14, right=23), Link(height=1577, left=14, right=23)),\n", - " (Link(height=1616, left=7, right=14), Link(height=1615, left=7, right=14)),\n", - " (Link(height=1671, left=8, right=20), Link(height=1670, left=8, right=20)),\n", - " (Link(height=1684, left=14, right=18), Link(height=1683, left=14, right=18)),\n", - " (Link(height=1717, left=0, right=17), Link(height=1716, left=0, right=17)),\n", - " (Link(height=1727, left=7, right=8), Link(height=1726, left=7, right=8)),\n", - " (Link(height=1866, left=8, right=16), Link(height=1865, left=8, right=16)),\n", - " (Link(height=1911, left=1, right=12), Link(height=1910, left=1, right=12)),\n", - " (Link(height=1966, left=20, right=23), Link(height=1965, left=20, right=23)),\n", - " (Link(height=1974, left=5, right=23), Link(height=1973, left=5, right=23)),\n", - " (Link(height=1994, left=18, right=19), Link(height=1993, left=18, right=19)),\n", - " (Link(height=2005, left=2, right=19), Link(height=2004, left=2, right=19)),\n", - " (Link(height=2031, left=12, right=17), Link(height=2030, left=12, right=17)),\n", - " (Link(height=2108, left=7, right=12), Link(height=2107, left=7, right=12)),\n", - " (Link(height=2137, left=7, right=16), Link(height=2136, left=7, right=16)),\n", - " (Link(height=2138, left=7, right=16), Link(height=2137, left=7, right=16)),\n", - " (Link(height=2229, left=10, right=11), Link(height=2228, left=10, right=11)),\n", - " (Link(height=2239, left=16, right=24), Link(height=2238, left=16, right=24)),\n", - " (Link(height=2240, left=16, right=24), Link(height=2239, left=16, right=24)),\n", - " (Link(height=2246, left=4, right=13), Link(height=2245, left=4, right=13)),\n", - " (Link(height=2247, left=4, right=13), Link(height=2246, left=4, right=13)),\n", - " (Link(height=2276, left=19, right=24), Link(height=2275, left=19, right=24)),\n", - " (Link(height=2277, left=4, right=18), Link(height=2276, left=4, right=18))]" - ] - }, - "execution_count": 24, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "eliminable_pairs(pnet)" - ] - }, - { - "cell_type": "code", - "execution_count": 25, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "10 loops, best of 3: 23.5 ms per loop\n" - ] - } - ], - "source": [ - "%%timeit\n", - "eliminable_pairs(pnet)" - ] - }, - { - "cell_type": "code", - "execution_count": 26, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "def eliminable_pair(hgs):\n", - " for h in range(1, max(hgs.keys())):\n", - " for l in hgs[h]:\n", - " o = Link(l.height - 1, l.left, l.right)\n", - " if o in hgs[h-1]:\n", - " return l, o\n", - " return None" - ] - }, - { - "cell_type": "code", - "execution_count": 27, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "def eliminate_pairs(net):\n", - " hgs = height_groups(pack(net))\n", - " eliminable_links = eliminable_pair(hgs)\n", - " while eliminable_links:\n", - " net = pack(l for l in net if l not in eliminable_links)\n", - " hgs = height_groups(pack(net))\n", - " eliminable_links = eliminable_pair(hgs)\n", - " return net" - ] - }, - { - "cell_type": "code", - "execution_count": 28, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "enet = eliminate_pairs(pnet)" - ] - }, - { - "cell_type": "code", - "execution_count": 29, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "assert follow_many(string.ascii_lowercase, net) == follow_many(string.ascii_lowercase, enet)\n", - "assert follow_many(string.ascii_lowercase, pnet) == follow_many(string.ascii_lowercase, enet)" - ] - }, - { - "cell_type": "code", - "execution_count": 30, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "1 loop, best of 3: 2.35 s per loop\n" - ] - } - ], - "source": [ - "%%timeit\n", - "eliminate_pairs(pnet)" - ] - }, - { - "cell_type": "code", - "execution_count": 31, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "def triple_pair(height_groups, debug=False):\n", - " ts = []\n", - " for h in range(3, max(height_groups.keys())):\n", - " for d in height_groups[h]:\n", - " if debug: print('d:', d)\n", - " ch = h - 1\n", - " cs = [l for l in height_groups[ch] if link_ends(l) & link_ends(d)]\n", - " if debug: print('cs:', cs)\n", - " while ch > 2 and not cs:\n", - " ch -= 1\n", - " cs = [l for l in height_groups[ch] if link_ends(l) & link_ends(d)]\n", - " if debug: print('cs:', cs)\n", - " if len(cs) == 1:\n", - " c = cs[0]\n", - " lines = set((d.left, d.right, c.left, c.right))\n", - " if debug: print('c:', '; lines:', lines)\n", - " bs = [l for l in height_groups[ch-1] if link_ends(l) & lines]\n", - " b = Link(ch - 1, d.left, d.right)\n", - " if debug: print('b:', b, '; bs:', bs)\n", - " if len(bs) == 1 and b in bs:\n", - " ah = b.height - 1\n", - " als = [l for l in height_groups[ah] if link_ends(l) & link_ends(c)]\n", - " if debug: print('ah:', ah, '; als:', als)\n", - " while ah > 0 and not als:\n", - " ah -= 1\n", - " als = [l for l in height_groups[ah] if link_ends(l) & link_ends(c)]\n", - " if debug: print('ah:', ah, '; als:', als)\n", - " a = Link(ah, c.left, c.right)\n", - " if debug: print('a:', a)\n", - " if a in als:\n", - " if debug: print('adding:', a, b, c, d)\n", - " ts += [(a, b, c, d)]\n", - " return ts" - ] - }, - { - "cell_type": "code", - "execution_count": 32, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "def eliminate_a_triple_pair(net, debug=False):\n", - " hgs = height_groups(net)\n", - "\n", - " tps = triple_pair(hgs)\n", - " if debug: print('eatp', tps)\n", - " if tps:\n", - " a, b, c, d = tps[0]\n", - " x = Link(b.height - 0.5, b.left, b.right)\n", - " y = Link(b.height, a.left, a.right)\n", - " if debug: print('removing', a, b, c, d, '; adding', x, y)\n", - " return pack([l for l in net if l not in [a, b, c, d]] + [x, y])\n", - " return None" - ] - }, - { - "cell_type": "code", - "execution_count": 33, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[(Link(height=8, left=1, right=5),\n", - " Link(height=9, left=1, right=21),\n", - " Link(height=10, left=1, right=5),\n", - " Link(height=11, left=1, right=21)),\n", - " (Link(height=40, left=16, right=23),\n", - " Link(height=41, left=16, right=19),\n", - " Link(height=42, left=16, right=23),\n", - " Link(height=43, left=16, right=19)),\n", - " (Link(height=62, left=0, right=10),\n", - " Link(height=63, left=10, right=13),\n", - " Link(height=64, left=0, right=10),\n", - " Link(height=65, left=10, right=13)),\n", - " (Link(height=137, left=23, right=24),\n", - " Link(height=139, left=0, right=24),\n", - " Link(height=140, left=23, right=24),\n", - " Link(height=141, left=0, right=24)),\n", - " (Link(height=138, left=10, right=21),\n", - " Link(height=139, left=2, right=10),\n", - " Link(height=140, left=10, right=21),\n", - " Link(height=141, left=2, right=10)),\n", - " (Link(height=139, left=2, right=10),\n", - " Link(height=140, left=10, right=21),\n", - " Link(height=141, left=2, right=10),\n", - " Link(height=142, left=10, right=21)),\n", - " (Link(height=156, left=6, right=11),\n", - " Link(height=157, left=3, right=6),\n", - " Link(height=158, left=6, right=11),\n", - " Link(height=159, left=3, right=6)),\n", - " (Link(height=184, left=2, right=21),\n", - " Link(height=185, left=5, right=21),\n", - " Link(height=186, left=2, right=21),\n", - " Link(height=187, left=5, right=21)),\n", - " (Link(height=272, left=7, right=13),\n", - " Link(height=273, left=7, right=11),\n", - " Link(height=274, left=7, right=13),\n", - " Link(height=275, left=7, right=11)),\n", - " (Link(height=290, left=14, right=15),\n", - " Link(height=291, left=5, right=15),\n", - " Link(height=292, left=14, right=15),\n", - " Link(height=293, left=5, right=15)),\n", - " (Link(height=387, left=1, right=8),\n", - " Link(height=389, left=8, right=15),\n", - " Link(height=390, left=1, right=8),\n", - " Link(height=391, left=8, right=15)),\n", - " (Link(height=420, left=14, right=22),\n", - " Link(height=422, left=14, right=18),\n", - " Link(height=423, left=14, right=22),\n", - " Link(height=424, left=14, right=18)),\n", - " (Link(height=432, left=5, right=19),\n", - " Link(height=433, left=1, right=19),\n", - " Link(height=434, left=5, right=19),\n", - " Link(height=435, left=1, right=19)),\n", - " (Link(height=454, left=0, right=15),\n", - " Link(height=455, left=14, right=15),\n", - " Link(height=456, left=0, right=15),\n", - " Link(height=457, left=14, right=15)),\n", - " (Link(height=546, left=13, right=21),\n", - " Link(height=547, left=6, right=21),\n", - " Link(height=548, left=13, right=21),\n", - " Link(height=549, left=6, right=21)),\n", - " (Link(height=620, left=17, right=23),\n", - " Link(height=621, left=1, right=23),\n", - " Link(height=622, left=17, right=23),\n", - " Link(height=623, left=1, right=23)),\n", - " (Link(height=699, left=8, right=15),\n", - " Link(height=700, left=3, right=15),\n", - " Link(height=701, left=8, right=15),\n", - " Link(height=702, left=3, right=15)),\n", - " (Link(height=789, left=7, right=24),\n", - " Link(height=790, left=8, right=24),\n", - " Link(height=791, left=7, right=24),\n", - " Link(height=792, left=8, right=24)),\n", - " (Link(height=795, left=8, right=13),\n", - " Link(height=796, left=4, right=8),\n", - " Link(height=797, left=8, right=13),\n", - " Link(height=798, left=4, right=8)),\n", - " (Link(height=809, left=16, right=17),\n", - " Link(height=810, left=3, right=16),\n", - " Link(height=811, left=16, right=17),\n", - " Link(height=812, left=3, right=16)),\n", - " (Link(height=900, left=2, right=15),\n", - " Link(height=901, left=13, right=15),\n", - " Link(height=902, left=2, right=15),\n", - " Link(height=903, left=13, right=15)),\n", - " (Link(height=921, left=2, right=15),\n", - " Link(height=922, left=15, right=16),\n", - " Link(height=923, left=2, right=15),\n", - " Link(height=924, left=15, right=16)),\n", - " (Link(height=961, left=2, right=15),\n", - " Link(height=962, left=2, right=14),\n", - " Link(height=963, left=2, right=15),\n", - " Link(height=964, left=2, right=14)),\n", - " (Link(height=976, left=13, right=18),\n", - " Link(height=979, left=18, right=19),\n", - " Link(height=980, left=13, right=18),\n", - " Link(height=981, left=18, right=19)),\n", - " (Link(height=985, left=5, right=16),\n", - " Link(height=986, left=2, right=5),\n", - " Link(height=987, left=5, right=16),\n", - " Link(height=988, left=2, right=5)),\n", - " (Link(height=1050, left=9, right=24),\n", - " Link(height=1054, left=9, right=18),\n", - " Link(height=1055, left=9, right=24),\n", - " Link(height=1056, left=9, right=18)),\n", - " (Link(height=1159, left=11, right=21),\n", - " Link(height=1160, left=11, right=14),\n", - " Link(height=1161, left=11, right=21),\n", - " Link(height=1162, left=11, right=14)),\n", - " (Link(height=1284, left=0, right=11),\n", - " Link(height=1285, left=0, right=14),\n", - " Link(height=1286, left=0, right=11),\n", - " Link(height=1287, left=0, right=14)),\n", - " (Link(height=1331, left=4, right=9),\n", - " Link(height=1333, left=4, right=10),\n", - " Link(height=1334, left=4, right=9),\n", - " Link(height=1335, left=4, right=10)),\n", - " (Link(height=1332, left=12, right=18),\n", - " Link(height=1333, left=12, right=24),\n", - " Link(height=1334, left=12, right=18),\n", - " Link(height=1335, left=12, right=24)),\n", - " (Link(height=1343, left=0, right=17),\n", - " Link(height=1344, left=0, right=23),\n", - " Link(height=1345, left=0, right=17),\n", - " Link(height=1346, left=0, right=23)),\n", - " (Link(height=1357, left=4, right=16),\n", - " Link(height=1358, left=16, right=17),\n", - " Link(height=1359, left=4, right=16),\n", - " Link(height=1360, left=16, right=17)),\n", - " (Link(height=1441, left=6, right=20),\n", - " Link(height=1443, left=16, right=20),\n", - " Link(height=1444, left=6, right=20),\n", - " Link(height=1445, left=16, right=20)),\n", - " (Link(height=1464, left=17, right=23),\n", - " Link(height=1465, left=3, right=17),\n", - " Link(height=1466, left=17, right=23),\n", - " Link(height=1467, left=3, right=17)),\n", - " (Link(height=1540, left=8, right=23),\n", - " Link(height=1541, left=7, right=23),\n", - " Link(height=1542, left=8, right=23),\n", - " Link(height=1543, left=7, right=23)),\n", - " (Link(height=1570, left=0, right=1),\n", - " Link(height=1571, left=1, right=21),\n", - " Link(height=1572, left=0, right=1),\n", - " Link(height=1573, left=1, right=21)),\n", - " (Link(height=1600, left=15, right=22),\n", - " Link(height=1603, left=7, right=15),\n", - " Link(height=1604, left=15, right=22),\n", - " Link(height=1605, left=7, right=15)),\n", - " (Link(height=1632, left=12, right=18),\n", - " Link(height=1634, left=12, right=20),\n", - " Link(height=1635, left=12, right=18),\n", - " Link(height=1636, left=12, right=20)),\n", - " (Link(height=1702, left=13, right=24),\n", - " Link(height=1705, left=14, right=24),\n", - " Link(height=1706, left=13, right=24),\n", - " Link(height=1707, left=14, right=24)),\n", - " (Link(height=1721, left=3, right=24),\n", - " Link(height=1722, left=3, right=21),\n", - " Link(height=1723, left=3, right=24),\n", - " Link(height=1724, left=3, right=21)),\n", - " (Link(height=1722, left=3, right=21),\n", - " Link(height=1723, left=3, right=24),\n", - " Link(height=1724, left=3, right=21),\n", - " Link(height=1725, left=3, right=24)),\n", - " (Link(height=1762, left=0, right=21),\n", - " Link(height=1763, left=13, right=21),\n", - " Link(height=1764, left=0, right=21),\n", - " Link(height=1765, left=13, right=21)),\n", - " (Link(height=1769, left=7, right=9),\n", - " Link(height=1770, left=7, right=12),\n", - " Link(height=1771, left=7, right=9),\n", - " Link(height=1772, left=7, right=12)),\n", - " (Link(height=1914, left=10, right=24),\n", - " Link(height=1915, left=8, right=24),\n", - " Link(height=1916, left=10, right=24),\n", - " Link(height=1917, left=8, right=24)),\n", - " (Link(height=1920, left=4, right=23),\n", - " Link(height=1921, left=3, right=4),\n", - " Link(height=1922, left=4, right=23),\n", - " Link(height=1923, left=3, right=4)),\n", - " (Link(height=2023, left=4, right=7),\n", - " Link(height=2024, left=7, right=15),\n", - " Link(height=2025, left=4, right=7),\n", - " Link(height=2026, left=7, right=15)),\n", - " (Link(height=2025, left=8, right=19),\n", - " Link(height=2031, left=8, right=15),\n", - " Link(height=2032, left=8, right=19),\n", - " Link(height=2033, left=8, right=15)),\n", - " (Link(height=2152, left=10, right=15),\n", - " Link(height=2153, left=10, right=16),\n", - " Link(height=2154, left=10, right=15),\n", - " Link(height=2155, left=10, right=16)),\n", - " (Link(height=2194, left=22, right=24),\n", - " Link(height=2195, left=7, right=22),\n", - " Link(height=2196, left=22, right=24),\n", - " Link(height=2197, left=7, right=22)),\n", - " (Link(height=2211, left=5, right=6),\n", - " Link(height=2212, left=6, right=14),\n", - " Link(height=2213, left=5, right=6),\n", - " Link(height=2214, left=6, right=14))]" - ] - }, - "execution_count": 33, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "hgs = height_groups(enet)\n", - "triple_pair(hgs)" - ] - }, - { - "cell_type": "code", - "execution_count": 34, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "etnet = eliminate_a_triple_pair(enet)" - ] - }, - { - "cell_type": "code", - "execution_count": 35, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "assert follow_many(string.ascii_lowercase, etnet) == follow_many(string.ascii_lowercase, enet)" - ] - }, - { - "cell_type": "code", - "execution_count": 36, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "def eliminate_triple_pairs(net):\n", - " print(len(net))\n", - " new_net = eliminate_a_triple_pair(net)\n", - " while new_net:\n", - " print(len(net))\n", - " net = new_net\n", - " new_net = eliminate_a_triple_pair(net)\n", - " return net" - ] - }, - { - "cell_type": "code", - "execution_count": 37, - "metadata": { - "scrolled": true - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "10033\n", - "10033\n", - "10031\n", - "10029\n", - "10027\n", - "10025\n", - "10023\n", - "10021\n", - "10019\n", - "10017\n", - "10015\n", - "10013\n", - "10011\n", - "10009\n", - "10007\n", - "10005\n", - "10003\n", - "10001\n", - "9999\n", - "9997\n", - "9995\n", - "9993\n", - "9991\n", - "9989\n", - "9987\n", - "9985\n", - "9983\n", - "9981\n", - "9979\n", - "9977\n", - "9975\n", - "9973\n", - "9971\n", - "9969\n", - "9967\n", - "9965\n", - "9963\n", - "9961\n", - "9959\n", - "9957\n", - "9955\n", - "9953\n", - "9951\n", - "9949\n", - "9947\n", - "9945\n", - "9943\n", - "9941\n", - "9939\n" - ] - } - ], - "source": [ - "setnet = eliminate_triple_pairs(enet)" - ] - }, - { - "cell_type": "code", - "execution_count": 38, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "9937" - ] - }, - "execution_count": 38, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "len(setnet)" - ] - }, - { - "cell_type": "code", - "execution_count": 39, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "assert follow_many(string.ascii_lowercase, etnet) == follow_many(string.ascii_lowercase, enet)" - ] - }, - { - "cell_type": "code", - "execution_count": 40, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "'doqzmbishkwunvltpcexyjgfra'" - ] - }, - "execution_count": 40, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "''.join(follow_many(string.ascii_lowercase, etnet))" - ] - }, - { - "cell_type": "code", - "execution_count": 41, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "'doqzmbishkwunvltpcexyjgfra'" - ] - }, - "execution_count": 41, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "''.join(follow_many(string.ascii_lowercase, setnet))" - ] - }, - { - "cell_type": "code", - "execution_count": 42, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "'doqzmbishkwunvltpcexyjgfra'" - ] - }, - "execution_count": 42, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "''.join(follow_many(string.ascii_lowercase, enet))" - ] - }, - { - "cell_type": "code", - "execution_count": 43, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "'doqzmbishkwunvltpcexyjgfra'" - ] - }, - "execution_count": 43, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "''.join(follow_many(string.ascii_lowercase, net))" - ] - }, - { - "cell_type": "code", - "execution_count": 44, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[]" - ] - }, - "execution_count": 44, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "eliminable_pairs(etnet)" - ] - }, - { - "cell_type": "code", - "execution_count": 45, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "(10135, 10031)" - ] - }, - "execution_count": 45, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "len(net), len(etnet)" - ] - }, - { - "cell_type": "code", - "execution_count": 46, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "def simplify(net0):\n", - " netp = eliminate_pairs(net0)\n", - " new_net = eliminate_a_triple_pair(netp)\n", - " while new_net:\n", - "# print('sipl', len(net0), len(netp), len(new_net))\n", - " netp = eliminate_pairs(new_net)\n", - " new_net = eliminate_a_triple_pair(netp)\n", - " return netp" - ] - }, - { - "cell_type": "code", - "execution_count": 47, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "simple_net = simplify(pnet)" - ] - }, - { - "cell_type": "code", - "execution_count": 48, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "True" - ] - }, - "execution_count": 48, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "''.join(follow_many(string.ascii_lowercase, simple_net)) == ''.join(follow_many(string.ascii_lowercase, net))" - ] - }, - { - "cell_type": "code", - "execution_count": 49, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "'doqzmbishkwunvltpcexyjgfra'" - ] - }, - "execution_count": 49, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "''.join(follow_many(string.ascii_lowercase, simple_net))" - ] - }, - { - "cell_type": "code", - "execution_count": 50, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "'doqzmbishkwunvltpcexyjgfra'" - ] - }, - "execution_count": 50, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "''.join(follow_many(string.ascii_lowercase, net))" - ] - }, - { - "cell_type": "code", - "execution_count": 51, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "9931" - ] - }, - "execution_count": 51, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "len(simple_net)" - ] - }, - { - "cell_type": "code", - "execution_count": 52, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "def simplify_with_checks(net0):\n", - " netp = eliminate_pairs(net0)\n", - " if follow_many(string.ascii_lowercase, net0) != follow_many(string.ascii_lowercase, netp):\n", - " print('pairs', eliminable_pairs(net0))\n", - " return net0\n", - " else:\n", - " print('pairs ok')\n", - " new_net = eliminate_a_triple_pair(netp)\n", - " if new_net and follow_many(string.ascii_lowercase, new_net) != follow_many(string.ascii_lowercase, netp):\n", - " hg = find_height_groups(netp)\n", - " print('triple', triple_pair_hg(hg))\n", - " return netp\n", - " else:\n", - " print('triple ok')\n", - " while new_net:\n", - "# print('sipl', len(net0), len(netp), len(new_net))\n", - " netp = eliminate_pairs(new_net)\n", - " if follow_many(string.ascii_lowercase, new_net) != follow_many(string.ascii_lowercase, netp):\n", - " print('pairs', eliminable_pairs(new_net))\n", - " return new_net\n", - " else:\n", - " print('pairs ok')\n", - " new_net = eliminate_a_triple_pair(netp)\n", - " if new_net and follow_many(string.ascii_lowercase, new_net) != follow_many(string.ascii_lowercase, netp):\n", - " hg = find_height_groups(netp)\n", - " print('triple', triple_pair_hg(hg))\n", - " return netp\n", - " else:\n", - " print('triple ok')\n", - " print('** done')\n", - " return netp" - ] - }, - { - "cell_type": "code", - "execution_count": 53, - "metadata": { - "scrolled": true - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "pairs ok\n", - "triple ok\n", - "pairs ok\n", - "triple ok\n", - "pairs ok\n", - "triple ok\n", - "pairs ok\n", - "triple ok\n", - "pairs ok\n", - "triple ok\n", - "pairs ok\n", - "triple ok\n", - "pairs ok\n", - "triple ok\n", - "pairs ok\n", - "triple ok\n", - "pairs ok\n", - "triple ok\n", - "pairs ok\n", - "triple ok\n", - "pairs ok\n", - "triple ok\n", - "pairs ok\n", - "triple ok\n", - "pairs ok\n", - "triple ok\n", - "pairs ok\n", - "triple ok\n", - "pairs ok\n", - "triple ok\n", - "pairs ok\n", - "triple ok\n", - "pairs ok\n", - "triple ok\n", - "pairs ok\n", - "triple ok\n", - "pairs ok\n", - "triple ok\n", - "pairs ok\n", - "triple ok\n", - "pairs ok\n", - "triple ok\n", - "pairs ok\n", - "triple ok\n", - "pairs ok\n", - "triple ok\n", - "pairs ok\n", - "triple ok\n", - "pairs ok\n", - "triple ok\n", - "pairs ok\n", - "triple ok\n", - "pairs ok\n", - "triple ok\n", - "pairs ok\n", - "triple ok\n", - "pairs ok\n", - "triple ok\n", - "pairs ok\n", - "triple ok\n", - "pairs ok\n", - "triple ok\n", - "pairs ok\n", - "triple ok\n", - "pairs ok\n", - "triple ok\n", - "pairs ok\n", - "triple ok\n", - "pairs ok\n", - "triple ok\n", - "pairs ok\n", - "triple ok\n", - "pairs ok\n", - "triple ok\n", - "pairs ok\n", - "triple ok\n", - "pairs ok\n", - "triple ok\n", - "pairs ok\n", - "triple ok\n", - "pairs ok\n", - "triple ok\n", - "pairs ok\n", - "triple ok\n", - "pairs ok\n", - "triple ok\n", - "pairs ok\n", - "triple ok\n", - "pairs ok\n", - "triple ok\n", - "pairs ok\n", - "triple ok\n", - "pairs ok\n", - "triple ok\n", - "pairs ok\n", - "triple ok\n", - "pairs ok\n", - "triple ok\n", - "** done\n" - ] - } - ], - "source": [ - "spnet = simplify_with_checks(pnet)" - ] - }, - { - "cell_type": "code", - "execution_count": 54, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "True" - ] - }, - "execution_count": 54, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "''.join(follow_many(string.ascii_lowercase, spnet)) == ''.join(follow_many(string.ascii_lowercase, net))" - ] - }, - { - "cell_type": "code", - "execution_count": 55, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "9931" - ] - }, - "execution_count": 55, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "len(spnet)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.5.2+" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -}