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jmandel/card-game.ipynb

Last active August 29, 2015 14:23
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Card Game
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card-game.ipynb
{
"metadata": {
"name": "",
"signature": "sha256:56003f56e4955c9494ab3102629d022b54098bb5e682c4525e43608dd4129868"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"%matplotlib inline\n",
"import pylab\n",
"import numpy as np\n",
"import json\n",
"\n",
"is_even = lambda x: x%2 == 0\n",
"is_odd = lambda x: not is_even(x)\n",
"\n",
"def keep_even_player_even(even_choices, odd_choices):\n",
" if filter(is_even, odd_choices):\n",
" return (max(even_choices), filter(is_even, odd_choices)[0])\n",
" return (max(even_choices), min(odd_choices)) \n",
"\n",
"def keep_odd_player_odd(even_choices, odd_choices):\n",
" if filter(is_odd, even_choices):\n",
" return (filter(is_odd, even_choices)[0], min(odd_choices))\n",
" return (max(even_choices), min(odd_choices))\n",
"\n",
"def print_state(s):\n",
" s = json.loads(s)\n",
" even, odd = s[0], s[1]\n",
" print \"Player 1: \", even\n",
" print \"Player 2: \", odd\n",
" print \"---\"\n",
"\n",
"class Game(object):\n",
" def __init__(self, n, strategy):\n",
" self.choose = strategy\n",
" self.even_player = []\n",
" self.odd_player = []\n",
" self.n = n\n",
" for i in range(1,n+1):\n",
" if is_even(i): self.even_player.append([i])\n",
" else: self.odd_player.append([i])\n",
" if is_even(n): self.odd_player.reverse() \n",
" self.seen_states = [self.dump_state()]\n",
"\n",
" def dump_state(self):\n",
" return json.dumps([self.even_player, self.odd_player])\n",
" \n",
" def move(self):\n",
" # print_state(self.dump_state())\n",
" even_choices, self.even_player = [self.even_player[0], self.even_player[1:]]\n",
" odd_choices, self.odd_player = [self.odd_player[0], self.odd_player[1:]]\n",
" even_choice, odd_choice = self.choose(even_choices, odd_choices)\n",
" \n",
" even_remaining = list(set(even_choices) - set([even_choice]))\n",
" even_remaining = [even_remaining] if even_remaining else []\n",
" even_remaining.sort()\n",
" self.even_player = even_remaining + self.even_player\n",
" \n",
" odd_remaining = list(set(odd_choices) - set([odd_choice]))\n",
" odd_remaining = [odd_remaining] if odd_remaining else []\n",
" odd_remaining.sort()\n",
" self.odd_player = odd_remaining + self.odd_player\n",
" \n",
" winner = self.even_player if even_choice > odd_choice else self.odd_player\n",
" winner.append([even_choice, odd_choice])\n",
" \n",
" current_state = self.dump_state()\n",
" found_cycle = current_state in self.seen_states\n",
" self.seen_states.append(current_state)\n",
" if found_cycle:\n",
" return True\n",
" return False\n",
" \n",
" def converge(self, limit = None):\n",
" for i in range(limit or self.n * 2000):\n",
" if self.move(): return\n",
" raise \"Failed to converge\"\n"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"## Plot cycles 'til convergence\n",
"def plot_convergence(sequence):\n",
" times_to_converge = []\n",
" for i in sequence:\n",
" game = Game(i, keep_odd_player_odd if i%2 else keep_even_player_even)\n",
" game.converge()\n",
" times_to_converge.append((i, len(game.seen_states)))\n",
" pylab.bar(\n",
" [x[0] for x in times_to_converge],\n",
" [x[1] * 1.0 for x in times_to_converge])"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"## Convergence for all decks\n",
"plot_convergence(range(3, 50))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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37wwCG+O8/bG+H7gOdFE67HUB+4G5wBHCtwJJUgNU9TWhTuz2UdOx22cqttXcXTH13FY9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\n/d+HOgAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x7fe24a411650>"
]
}
],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"## Convergence for odd-length decks\n",
"plot_convergence(range(3, 50, 2))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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"text": [
"<matplotlib.figure.Figure at 0x7fe22c782e10>"
]
}
],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"## Convergence for even-length decks that are =0mod%4 (4, 8, 12...)\n",
"plot_convergence(range(4, 50, 4))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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"text": [
"<matplotlib.figure.Figure at 0x7fe22c78b6d0>"
]
}
],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"## Convergence for even-length decks that are =2mod4 (6, 10, 14 ...)\n",
"plot_convergence(range(6, 50, 4))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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"text": [
"<matplotlib.figure.Figure at 0x7fe22c91fb50>"
]
}
],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"N = 10\n",
"game = Game(N, keep_even_player_even)\n",
"game.converge()\n",
"print \"N=%s coverges in %s\"%(N, len(game.seen_states))\n",
"for s in game.seen_states:\n",
" print_state(s)\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"N=10 coverges in 66\n",
"Player 1: [[2], [4], [6], [8], [10]]\n",
"Player 2: [[9], [7], [5], [3], [1]]\n",
"---\n",
"Player 1: [[4], [6], [8], [10]]\n",
"Player 2: [[7], [5], [3], [1], [2, 9]]\n",
"---\n",
"Player 1: [[6], [8], [10]]\n",
"Player 2: [[5], [3], [1], [2, 9], [4, 7]]\n",
"---\n",
"Player 1: [[8], [10], [6, 5]]\n",
"Player 2: [[3], [1], [2, 9], [4, 7]]\n",
"---\n",
"Player 1: [[10], [6, 5], [8, 3]]\n",
"Player 2: [[1], [2, 9], [4, 7]]\n",
"---\n",
"Player 1: [[6, 5], [8, 3], [10, 1]]\n",
"Player 2: [[2, 9], [4, 7]]\n",
"---\n",
"Player 1: [[5], [8, 3], [10, 1], [6, 2]]\n",
"Player 2: [[9], [4, 7]]\n",
"---\n",
"Player 1: [[8, 3], [10, 1], [6, 2]]\n",
"Player 2: [[4, 7], [5, 9]]\n",
"---\n",
"Player 1: [[3], [10, 1], [6, 2], [8, 4]]\n",
"Player 2: [[7], [5, 9]]\n",
"---\n",
"Player 1: [[10, 1], [6, 2], [8, 4]]\n",
"Player 2: [[5, 9], [3, 7]]\n",
"---\n",
"Player 1: [[1], [6, 2], [8, 4], [10, 5]]\n",
"Player 2: [[9], [3, 7]]\n",
"---\n",
"Player 1: [[6, 2], [8, 4], [10, 5]]\n",
"Player 2: [[3, 7], [1, 9]]\n",
"---\n",
"Player 1: [[2], [8, 4], [10, 5], [6, 3]]\n",
"Player 2: [[7], [1, 9]]\n",
"---\n",
"Player 1: [[8, 4], [10, 5], [6, 3]]\n",
"Player 2: [[1, 9], [2, 7]]\n",
"---\n",
"Player 1: [[4], [10, 5], [6, 3], [8, 1]]\n",
"Player 2: [[9], [2, 7]]\n",
"---\n",
"Player 1: [[10, 5], [6, 3], [8, 1]]\n",
"Player 2: [[2, 7], [4, 9]]\n",
"---\n",
"Player 1: [[5], [6, 3], [8, 1], [10, 2]]\n",
"Player 2: [[7], [4, 9]]\n",
"---\n",
"Player 1: [[6, 3], [8, 1], [10, 2]]\n",
"Player 2: [[4, 9], [5, 7]]\n",
"---\n",
"Player 1: [[3], [8, 1], [10, 2], [6, 4]]\n",
"Player 2: [[9], [5, 7]]\n",
"---\n",
"Player 1: [[8, 1], [10, 2], [6, 4]]\n",
"Player 2: [[5, 7], [3, 9]]\n",
"---\n",
"Player 1: [[1], [10, 2], [6, 4], [8, 5]]\n",
"Player 2: [[7], [3, 9]]\n",
"---\n",
"Player 1: [[10, 2], [6, 4], [8, 5]]\n",
"Player 2: [[3, 9], [1, 7]]\n",
"---\n",
"Player 1: [[2], [6, 4], [8, 5], [10, 3]]\n",
"Player 2: [[9], [1, 7]]\n",
"---\n",
"Player 1: [[6, 4], [8, 5], [10, 3]]\n",
"Player 2: [[1, 7], [2, 9]]\n",
"---\n",
"Player 1: [[4], [8, 5], [10, 3], [6, 1]]\n",
"Player 2: [[7], [2, 9]]\n",
"---\n",
"Player 1: [[8, 5], [10, 3], [6, 1]]\n",
"Player 2: [[2, 9], [4, 7]]\n",
"---\n",
"Player 1: [[5], [10, 3], [6, 1], [8, 2]]\n",
"Player 2: [[9], [4, 7]]\n",
"---\n",
"Player 1: [[10, 3], [6, 1], [8, 2]]\n",
"Player 2: [[4, 7], [5, 9]]\n",
"---\n",
"Player 1: [[3], [6, 1], [8, 2], [10, 4]]\n",
"Player 2: [[7], [5, 9]]\n",
"---\n",
"Player 1: [[6, 1], [8, 2], [10, 4]]\n",
"Player 2: [[5, 9], [3, 7]]\n",
"---\n",
"Player 1: [[1], [8, 2], [10, 4], [6, 5]]\n",
"Player 2: [[9], [3, 7]]\n",
"---\n",
"Player 1: [[8, 2], [10, 4], [6, 5]]\n",
"Player 2: [[3, 7], [1, 9]]\n",
"---\n",
"Player 1: [[2], [10, 4], [6, 5], [8, 3]]\n",
"Player 2: [[7], [1, 9]]\n",
"---\n",
"Player 1: [[10, 4], [6, 5], [8, 3]]\n",
"Player 2: [[1, 9], [2, 7]]\n",
"---\n",
"Player 1: [[4], [6, 5], [8, 3], [10, 1]]\n",
"Player 2: [[9], [2, 7]]\n",
"---\n",
"Player 1: [[6, 5], [8, 3], [10, 1]]\n",
"Player 2: [[2, 7], [4, 9]]\n",
"---\n",
"Player 1: [[5], [8, 3], [10, 1], [6, 2]]\n",
"Player 2: [[7], [4, 9]]\n",
"---\n",
"Player 1: [[8, 3], [10, 1], [6, 2]]\n",
"Player 2: [[4, 9], [5, 7]]\n",
"---\n",
"Player 1: [[3], [10, 1], [6, 2], [8, 4]]\n",
"Player 2: [[9], [5, 7]]\n",
"---\n",
"Player 1: [[10, 1], [6, 2], [8, 4]]\n",
"Player 2: [[5, 7], [3, 9]]\n",
"---\n",
"Player 1: [[1], [6, 2], [8, 4], [10, 5]]\n",
"Player 2: [[7], [3, 9]]\n",
"---\n",
"Player 1: [[6, 2], [8, 4], [10, 5]]\n",
"Player 2: [[3, 9], [1, 7]]\n",
"---\n",
"Player 1: [[2], [8, 4], [10, 5], [6, 3]]\n",
"Player 2: [[9], [1, 7]]\n",
"---\n",
"Player 1: [[8, 4], [10, 5], [6, 3]]\n",
"Player 2: [[1, 7], [2, 9]]\n",
"---\n",
"Player 1: [[4], [10, 5], [6, 3], [8, 1]]\n",
"Player 2: [[7], [2, 9]]\n",
"---\n",
"Player 1: [[10, 5], [6, 3], [8, 1]]\n",
"Player 2: [[2, 9], [4, 7]]\n",
"---\n",
"Player 1: [[5], [6, 3], [8, 1], [10, 2]]\n",
"Player 2: [[9], [4, 7]]\n",
"---\n",
"Player 1: [[6, 3], [8, 1], [10, 2]]\n",
"Player 2: [[4, 7], [5, 9]]\n",
"---\n",
"Player 1: [[3], [8, 1], [10, 2], [6, 4]]\n",
"Player 2: [[7], [5, 9]]\n",
"---\n",
"Player 1: [[8, 1], [10, 2], [6, 4]]\n",
"Player 2: [[5, 9], [3, 7]]\n",
"---\n",
"Player 1: [[1], [10, 2], [6, 4], [8, 5]]\n",
"Player 2: [[9], [3, 7]]\n",
"---\n",
"Player 1: [[10, 2], [6, 4], [8, 5]]\n",
"Player 2: [[3, 7], [1, 9]]\n",
"---\n",
"Player 1: [[2], [6, 4], [8, 5], [10, 3]]\n",
"Player 2: [[7], [1, 9]]\n",
"---\n",
"Player 1: [[6, 4], [8, 5], [10, 3]]\n",
"Player 2: [[1, 9], [2, 7]]\n",
"---\n",
"Player 1: [[4], [8, 5], [10, 3], [6, 1]]\n",
"Player 2: [[9], [2, 7]]\n",
"---\n",
"Player 1: [[8, 5], [10, 3], [6, 1]]\n",
"Player 2: [[2, 7], [4, 9]]\n",
"---\n",
"Player 1: [[5], [10, 3], [6, 1], [8, 2]]\n",
"Player 2: [[7], [4, 9]]\n",
"---\n",
"Player 1: [[10, 3], [6, 1], [8, 2]]\n",
"Player 2: [[4, 9], [5, 7]]\n",
"---\n",
"Player 1: [[3], [6, 1], [8, 2], [10, 4]]\n",
"Player 2: [[9], [5, 7]]\n",
"---\n",
"Player 1: [[6, 1], [8, 2], [10, 4]]\n",
"Player 2: [[5, 7], [3, 9]]\n",
"---\n",
"Player 1: [[1], [8, 2], [10, 4], [6, 5]]\n",
"Player 2: [[7], [3, 9]]\n",
"---\n",
"Player 1: [[8, 2], [10, 4], [6, 5]]\n",
"Player 2: [[3, 9], [1, 7]]\n",
"---\n",
"Player 1: [[2], [10, 4], [6, 5], [8, 3]]\n",
"Player 2: [[9], [1, 7]]\n",
"---\n",
"Player 1: [[10, 4], [6, 5], [8, 3]]\n",
"Player 2: [[1, 7], [2, 9]]\n",
"---\n",
"Player 1: [[4], [6, 5], [8, 3], [10, 1]]\n",
"Player 2: [[7], [2, 9]]\n",
"---\n",
"Player 1: [[6, 5], [8, 3], [10, 1]]\n",
"Player 2: [[2, 9], [4, 7]]\n",
"---\n"
]
}
],
"prompt_number": 7
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"N = 51\n",
"game = Game(N, keep_odd_player_odd)\n",
"game.converge()\n",
"print \"N=%s coverges in %s\"%(N, len(game.seen_states))\n",
"for s in game.seen_states:\n",
" print_state(s)\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"N=51 coverges in 76\n",
"Player 1: [[2], [4], [6], [8], [10], [12], [14], [16], [18], [20], [22], [24], [26], [28], [30], [32], [34], [36], [38], [40], [42], [44], [46], [48], [50]]\n",
"Player 2: [[1], [3], [5], [7], [9], [11], [13], [15], [17], [19], [21], [23], [25], [27], [29], [31], [33], [35], [37], [39], [41], [43], [45], [47], [49], [51]]\n",
"---\n",
"Player 1: [[4], [6], [8], [10], [12], [14], [16], [18], [20], [22], [24], [26], [28], [30], [32], [34], [36], [38], [40], [42], [44], [46], [48], [50], [2, 1]]\n",
"Player 2: [[3], [5], [7], [9], [11], [13], [15], [17], [19], [21], [23], [25], [27], [29], [31], [33], [35], [37], [39], [41], [43], [45], [47], [49], [51]]\n",
"---\n",
"Player 1: [[6], [8], [10], [12], [14], [16], [18], [20], [22], [24], [26], [28], [30], [32], [34], [36], [38], [40], [42], [44], [46], [48], [50], [2, 1], [4, 3]]\n",
"Player 2: [[5], [7], [9], [11], [13], [15], [17], [19], [21], [23], [25], [27], [29], [31], [33], [35], [37], [39], [41], [43], [45], [47], [49], [51]]\n",
"---\n",
"Player 1: [[8], [10], [12], [14], [16], [18], [20], [22], [24], [26], [28], [30], [32], [34], [36], [38], [40], [42], [44], [46], [48], [50], [2, 1], [4, 3], [6, 5]]\n",
"Player 2: [[7], [9], [11], [13], [15], [17], [19], [21], [23], [25], [27], [29], [31], [33], [35], [37], [39], [41], [43], [45], [47], [49], [51]]\n",
"---\n",
"Player 1: [[10], [12], [14], [16], [18], [20], [22], [24], [26], [28], [30], [32], [34], [36], [38], [40], [42], [44], [46], [48], [50], [2, 1], [4, 3], [6, 5], [8, 7]]\n",
"Player 2: [[9], [11], [13], [15], [17], [19], [21], [23], [25], [27], [29], [31], [33], [35], [37], [39], [41], [43], [45], [47], [49], [51]]\n",
"---\n",
"Player 1: [[12], [14], [16], [18], [20], [22], [24], [26], [28], [30], [32], [34], [36], [38], [40], [42], [44], [46], [48], [50], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9]]\n",
"Player 2: [[11], [13], [15], [17], [19], [21], [23], [25], [27], [29], [31], [33], [35], [37], [39], [41], [43], [45], [47], [49], [51]]\n",
"---\n",
"Player 1: [[14], [16], [18], [20], [22], [24], [26], [28], [30], [32], [34], [36], [38], [40], [42], [44], [46], [48], [50], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11]]\n",
"Player 2: [[13], [15], [17], [19], [21], [23], [25], [27], [29], [31], [33], [35], [37], [39], [41], [43], [45], [47], [49], [51]]\n",
"---\n",
"Player 1: [[16], [18], [20], [22], [24], [26], [28], [30], [32], [34], [36], [38], [40], [42], [44], [46], [48], [50], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13]]\n",
"Player 2: [[15], [17], [19], [21], [23], [25], [27], [29], [31], [33], [35], [37], [39], [41], [43], [45], [47], [49], [51]]\n",
"---\n",
"Player 1: [[18], [20], [22], [24], [26], [28], [30], [32], [34], [36], [38], [40], [42], [44], [46], [48], [50], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15]]\n",
"Player 2: [[17], [19], [21], [23], [25], [27], [29], [31], [33], [35], [37], [39], [41], [43], [45], [47], [49], [51]]\n",
"---\n",
"Player 1: [[20], [22], [24], [26], [28], [30], [32], [34], [36], [38], [40], [42], [44], [46], [48], [50], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17]]\n",
"Player 2: [[19], [21], [23], [25], [27], [29], [31], [33], [35], [37], [39], [41], [43], [45], [47], [49], [51]]\n",
"---\n",
"Player 1: [[22], [24], [26], [28], [30], [32], [34], [36], [38], [40], [42], [44], [46], [48], [50], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19]]\n",
"Player 2: [[21], [23], [25], [27], [29], [31], [33], [35], [37], [39], [41], [43], [45], [47], [49], [51]]\n",
"---\n",
"Player 1: [[24], [26], [28], [30], [32], [34], [36], [38], [40], [42], [44], [46], [48], [50], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21]]\n",
"Player 2: [[23], [25], [27], [29], [31], [33], [35], [37], [39], [41], [43], [45], [47], [49], [51]]\n",
"---\n",
"Player 1: [[26], [28], [30], [32], [34], [36], [38], [40], [42], [44], [46], [48], [50], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23]]\n",
"Player 2: [[25], [27], [29], [31], [33], [35], [37], [39], [41], [43], [45], [47], [49], [51]]\n",
"---\n",
"Player 1: [[28], [30], [32], [34], [36], [38], [40], [42], [44], [46], [48], [50], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25]]\n",
"Player 2: [[27], [29], [31], [33], [35], [37], [39], [41], [43], [45], [47], [49], [51]]\n",
"---\n",
"Player 1: [[30], [32], [34], [36], [38], [40], [42], [44], [46], [48], [50], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27]]\n",
"Player 2: [[29], [31], [33], [35], [37], [39], [41], [43], [45], [47], [49], [51]]\n",
"---\n",
"Player 1: [[32], [34], [36], [38], [40], [42], [44], [46], [48], [50], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29]]\n",
"Player 2: [[31], [33], [35], [37], [39], [41], [43], [45], [47], [49], [51]]\n",
"---\n",
"Player 1: [[34], [36], [38], [40], [42], [44], [46], [48], [50], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29], [32, 31]]\n",
"Player 2: [[33], [35], [37], [39], [41], [43], [45], [47], [49], [51]]\n",
"---\n",
"Player 1: [[36], [38], [40], [42], [44], [46], [48], [50], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29], [32, 31], [34, 33]]\n",
"Player 2: [[35], [37], [39], [41], [43], [45], [47], [49], [51]]\n",
"---\n",
"Player 1: [[38], [40], [42], [44], [46], [48], [50], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29], [32, 31], [34, 33], [36, 35]]\n",
"Player 2: [[37], [39], [41], [43], [45], [47], [49], [51]]\n",
"---\n",
"Player 1: [[40], [42], [44], [46], [48], [50], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29], [32, 31], [34, 33], [36, 35], [38, 37]]\n",
"Player 2: [[39], [41], [43], [45], [47], [49], [51]]\n",
"---\n",
"Player 1: [[42], [44], [46], [48], [50], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29], [32, 31], [34, 33], [36, 35], [38, 37], [40, 39]]\n",
"Player 2: [[41], [43], [45], [47], [49], [51]]\n",
"---\n",
"Player 1: [[44], [46], [48], [50], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29], [32, 31], [34, 33], [36, 35], [38, 37], [40, 39], [42, 41]]\n",
"Player 2: [[43], [45], [47], [49], [51]]\n",
"---\n",
"Player 1: [[46], [48], [50], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29], [32, 31], [34, 33], [36, 35], [38, 37], [40, 39], [42, 41], [44, 43]]\n",
"Player 2: [[45], [47], [49], [51]]\n",
"---\n",
"Player 1: [[48], [50], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29], [32, 31], [34, 33], [36, 35], [38, 37], [40, 39], [42, 41], [44, 43], [46, 45]]\n",
"Player 2: [[47], [49], [51]]\n",
"---\n",
"Player 1: [[50], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29], [32, 31], [34, 33], [36, 35], [38, 37], [40, 39], [42, 41], [44, 43], [46, 45], [48, 47]]\n",
"Player 2: [[49], [51]]\n",
"---\n",
"Player 1: [[2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29], [32, 31], [34, 33], [36, 35], [38, 37], [40, 39], [42, 41], [44, 43], [46, 45], [48, 47], [50, 49]]\n",
"Player 2: [[51]]\n",
"---\n",
"Player 1: [[2], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29], [32, 31], [34, 33], [36, 35], [38, 37], [40, 39], [42, 41], [44, 43], [46, 45], [48, 47], [50, 49]]\n",
"Player 2: [[1, 51]]\n",
"---\n",
"Player 1: [[4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29], [32, 31], [34, 33], [36, 35], [38, 37], [40, 39], [42, 41], [44, 43], [46, 45], [48, 47], [50, 49], [2, 1]]\n",
"Player 2: [[51]]\n",
"---\n",
"Player 1: [[4], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29], [32, 31], [34, 33], [36, 35], [38, 37], [40, 39], [42, 41], [44, 43], [46, 45], [48, 47], [50, 49], [2, 1]]\n",
"Player 2: [[3, 51]]\n",
"---\n",
"Player 1: [[6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29], [32, 31], [34, 33], [36, 35], [38, 37], [40, 39], [42, 41], [44, 43], [46, 45], [48, 47], [50, 49], [2, 1], [4, 3]]\n",
"Player 2: [[51]]\n",
"---\n",
"Player 1: [[6], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29], [32, 31], [34, 33], [36, 35], [38, 37], [40, 39], [42, 41], [44, 43], [46, 45], [48, 47], [50, 49], [2, 1], [4, 3]]\n",
"Player 2: [[5, 51]]\n",
"---\n",
"Player 1: [[8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29], [32, 31], [34, 33], [36, 35], [38, 37], [40, 39], [42, 41], [44, 43], [46, 45], [48, 47], [50, 49], [2, 1], [4, 3], [6, 5]]\n",
"Player 2: [[51]]\n",
"---\n",
"Player 1: [[8], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29], [32, 31], [34, 33], [36, 35], [38, 37], [40, 39], [42, 41], [44, 43], [46, 45], [48, 47], [50, 49], [2, 1], [4, 3], [6, 5]]\n",
"Player 2: [[7, 51]]\n",
"---\n",
"Player 1: [[10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29], [32, 31], [34, 33], [36, 35], [38, 37], [40, 39], [42, 41], [44, 43], [46, 45], [48, 47], [50, 49], [2, 1], [4, 3], [6, 5], [8, 7]]\n",
"Player 2: [[51]]\n",
"---\n",
"Player 1: [[10], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29], [32, 31], [34, 33], [36, 35], [38, 37], [40, 39], [42, 41], [44, 43], [46, 45], [48, 47], [50, 49], [2, 1], [4, 3], [6, 5], [8, 7]]\n",
"Player 2: [[9, 51]]\n",
"---\n",
"Player 1: [[12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29], [32, 31], [34, 33], [36, 35], [38, 37], [40, 39], [42, 41], [44, 43], [46, 45], [48, 47], [50, 49], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9]]\n",
"Player 2: [[51]]\n",
"---\n",
"Player 1: [[12], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29], [32, 31], [34, 33], [36, 35], [38, 37], [40, 39], [42, 41], [44, 43], [46, 45], [48, 47], [50, 49], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9]]\n",
"Player 2: [[11, 51]]\n",
"---\n",
"Player 1: [[14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29], [32, 31], [34, 33], [36, 35], [38, 37], [40, 39], [42, 41], [44, 43], [46, 45], [48, 47], [50, 49], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11]]\n",
"Player 2: [[51]]\n",
"---\n",
"Player 1: [[14], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29], [32, 31], [34, 33], [36, 35], [38, 37], [40, 39], [42, 41], [44, 43], [46, 45], [48, 47], [50, 49], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11]]\n",
"Player 2: [[13, 51]]\n",
"---\n",
"Player 1: [[16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29], [32, 31], [34, 33], [36, 35], [38, 37], [40, 39], [42, 41], [44, 43], [46, 45], [48, 47], [50, 49], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13]]\n",
"Player 2: [[51]]\n",
"---\n",
"Player 1: [[16], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29], [32, 31], [34, 33], [36, 35], [38, 37], [40, 39], [42, 41], [44, 43], [46, 45], [48, 47], [50, 49], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13]]\n",
"Player 2: [[15, 51]]\n",
"---\n",
"Player 1: [[18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29], [32, 31], [34, 33], [36, 35], [38, 37], [40, 39], [42, 41], [44, 43], [46, 45], [48, 47], [50, 49], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15]]\n",
"Player 2: [[51]]\n",
"---\n",
"Player 1: [[18], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29], [32, 31], [34, 33], [36, 35], [38, 37], [40, 39], [42, 41], [44, 43], [46, 45], [48, 47], [50, 49], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15]]\n",
"Player 2: [[17, 51]]\n",
"---\n",
"Player 1: [[20, 19], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29], [32, 31], [34, 33], [36, 35], [38, 37], [40, 39], [42, 41], [44, 43], [46, 45], [48, 47], [50, 49], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17]]\n",
"Player 2: [[51]]\n",
"---\n",
"Player 1: [[20], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29], [32, 31], [34, 33], [36, 35], [38, 37], [40, 39], [42, 41], [44, 43], [46, 45], [48, 47], [50, 49], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17]]\n",
"Player 2: [[19, 51]]\n",
"---\n",
"Player 1: [[22, 21], [24, 23], [26, 25], [28, 27], [30, 29], [32, 31], [34, 33], [36, 35], [38, 37], [40, 39], [42, 41], [44, 43], [46, 45], [48, 47], [50, 49], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19]]\n",
"Player 2: [[51]]\n",
"---\n",
"Player 1: [[22], [24, 23], [26, 25], [28, 27], [30, 29], [32, 31], [34, 33], [36, 35], [38, 37], [40, 39], [42, 41], [44, 43], [46, 45], [48, 47], [50, 49], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19]]\n",
"Player 2: [[21, 51]]\n",
"---\n",
"Player 1: [[24, 23], [26, 25], [28, 27], [30, 29], [32, 31], [34, 33], [36, 35], [38, 37], [40, 39], [42, 41], [44, 43], [46, 45], [48, 47], [50, 49], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21]]\n",
"Player 2: [[51]]\n",
"---\n",
"Player 1: [[24], [26, 25], [28, 27], [30, 29], [32, 31], [34, 33], [36, 35], [38, 37], [40, 39], [42, 41], [44, 43], [46, 45], [48, 47], [50, 49], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21]]\n",
"Player 2: [[23, 51]]\n",
"---\n",
"Player 1: [[26, 25], [28, 27], [30, 29], [32, 31], [34, 33], [36, 35], [38, 37], [40, 39], [42, 41], [44, 43], [46, 45], [48, 47], [50, 49], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23]]\n",
"Player 2: [[51]]\n",
"---\n",
"Player 1: [[26], [28, 27], [30, 29], [32, 31], [34, 33], [36, 35], [38, 37], [40, 39], [42, 41], [44, 43], [46, 45], [48, 47], [50, 49], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23]]\n",
"Player 2: [[25, 51]]\n",
"---\n",
"Player 1: [[28, 27], [30, 29], [32, 31], [34, 33], [36, 35], [38, 37], [40, 39], [42, 41], [44, 43], [46, 45], [48, 47], [50, 49], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25]]\n",
"Player 2: [[51]]\n",
"---\n",
"Player 1: [[28], [30, 29], [32, 31], [34, 33], [36, 35], [38, 37], [40, 39], [42, 41], [44, 43], [46, 45], [48, 47], [50, 49], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25]]\n",
"Player 2: [[27, 51]]\n",
"---\n",
"Player 1: [[30, 29], [32, 31], [34, 33], [36, 35], [38, 37], [40, 39], [42, 41], [44, 43], [46, 45], [48, 47], [50, 49], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27]]\n",
"Player 2: [[51]]\n",
"---\n",
"Player 1: [[30], [32, 31], [34, 33], [36, 35], [38, 37], [40, 39], [42, 41], [44, 43], [46, 45], [48, 47], [50, 49], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27]]\n",
"Player 2: [[29, 51]]\n",
"---\n",
"Player 1: [[32, 31], [34, 33], [36, 35], [38, 37], [40, 39], [42, 41], [44, 43], [46, 45], [48, 47], [50, 49], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29]]\n",
"Player 2: [[51]]\n",
"---\n",
"Player 1: [[32], [34, 33], [36, 35], [38, 37], [40, 39], [42, 41], [44, 43], [46, 45], [48, 47], [50, 49], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29]]\n",
"Player 2: [[31, 51]]\n",
"---\n",
"Player 1: [[34, 33], [36, 35], [38, 37], [40, 39], [42, 41], [44, 43], [46, 45], [48, 47], [50, 49], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29], [32, 31]]\n",
"Player 2: [[51]]\n",
"---\n",
"Player 1: [[34], [36, 35], [38, 37], [40, 39], [42, 41], [44, 43], [46, 45], [48, 47], [50, 49], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29], [32, 31]]\n",
"Player 2: [[33, 51]]\n",
"---\n",
"Player 1: [[36, 35], [38, 37], [40, 39], [42, 41], [44, 43], [46, 45], [48, 47], [50, 49], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29], [32, 31], [34, 33]]\n",
"Player 2: [[51]]\n",
"---\n",
"Player 1: [[36], [38, 37], [40, 39], [42, 41], [44, 43], [46, 45], [48, 47], [50, 49], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29], [32, 31], [34, 33]]\n",
"Player 2: [[35, 51]]\n",
"---\n",
"Player 1: [[38, 37], [40, 39], [42, 41], [44, 43], [46, 45], [48, 47], [50, 49], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29], [32, 31], [34, 33], [36, 35]]\n",
"Player 2: [[51]]\n",
"---\n",
"Player 1: [[38], [40, 39], [42, 41], [44, 43], [46, 45], [48, 47], [50, 49], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29], [32, 31], [34, 33], [36, 35]]\n",
"Player 2: [[37, 51]]\n",
"---\n",
"Player 1: [[40, 39], [42, 41], [44, 43], [46, 45], [48, 47], [50, 49], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29], [32, 31], [34, 33], [36, 35], [38, 37]]\n",
"Player 2: [[51]]\n",
"---\n",
"Player 1: [[40], [42, 41], [44, 43], [46, 45], [48, 47], [50, 49], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29], [32, 31], [34, 33], [36, 35], [38, 37]]\n",
"Player 2: [[39, 51]]\n",
"---\n",
"Player 1: [[42, 41], [44, 43], [46, 45], [48, 47], [50, 49], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29], [32, 31], [34, 33], [36, 35], [38, 37], [40, 39]]\n",
"Player 2: [[51]]\n",
"---\n",
"Player 1: [[42], [44, 43], [46, 45], [48, 47], [50, 49], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29], [32, 31], [34, 33], [36, 35], [38, 37], [40, 39]]\n",
"Player 2: [[41, 51]]\n",
"---\n",
"Player 1: [[44, 43], [46, 45], [48, 47], [50, 49], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29], [32, 31], [34, 33], [36, 35], [38, 37], [40, 39], [42, 41]]\n",
"Player 2: [[51]]\n",
"---\n",
"Player 1: [[44], [46, 45], [48, 47], [50, 49], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29], [32, 31], [34, 33], [36, 35], [38, 37], [40, 39], [42, 41]]\n",
"Player 2: [[43, 51]]\n",
"---\n",
"Player 1: [[46, 45], [48, 47], [50, 49], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29], [32, 31], [34, 33], [36, 35], [38, 37], [40, 39], [42, 41], [44, 43]]\n",
"Player 2: [[51]]\n",
"---\n",
"Player 1: [[46], [48, 47], [50, 49], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29], [32, 31], [34, 33], [36, 35], [38, 37], [40, 39], [42, 41], [44, 43]]\n",
"Player 2: [[45, 51]]\n",
"---\n",
"Player 1: [[48, 47], [50, 49], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29], [32, 31], [34, 33], [36, 35], [38, 37], [40, 39], [42, 41], [44, 43], [46, 45]]\n",
"Player 2: [[51]]\n",
"---\n",
"Player 1: [[48], [50, 49], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29], [32, 31], [34, 33], [36, 35], [38, 37], [40, 39], [42, 41], [44, 43], [46, 45]]\n",
"Player 2: [[47, 51]]\n",
"---\n",
"Player 1: [[50, 49], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29], [32, 31], [34, 33], [36, 35], [38, 37], [40, 39], [42, 41], [44, 43], [46, 45], [48, 47]]\n",
"Player 2: [[51]]\n",
"---\n",
"Player 1: [[50], [2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29], [32, 31], [34, 33], [36, 35], [38, 37], [40, 39], [42, 41], [44, 43], [46, 45], [48, 47]]\n",
"Player 2: [[49, 51]]\n",
"---\n",
"Player 1: [[2, 1], [4, 3], [6, 5], [8, 7], [10, 9], [12, 11], [14, 13], [16, 15], [18, 17], [20, 19], [22, 21], [24, 23], [26, 25], [28, 27], [30, 29], [32, 31], [34, 33], [36, 35], [38, 37], [40, 39], [42, 41], [44, 43], [46, 45], [48, 47], [50, 49]]\n",
"Player 2: [[51]]\n",
"---\n"
]
}
],
"prompt_number": 8
}
],
"metadata": {}
}
]
}
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