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March 11, 2025 12:44
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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"id": "1bbaae3d-bc16-41d5-9d0e-7555d3617826", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"[[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0]\n", | |
" [0 0 0 0 2 0 2 0 0 0 0 0 0 0 0]\n", | |
" [0 1 0 0 0 0 0 0 2 0 0 0 0 1 0]\n", | |
" [0 0 0 1 0 1 0 1 0 0 2 0 1 0 0]\n", | |
" [0 0 0 0 0 0 0 2 1 0 0 0 0 1 0]\n", | |
" [0 1 0 0 2 0 2 0 0 0 2 0 2 1 0]\n", | |
" [0 0 0 0 0 0 0 2 0 1 2 0 2 1 0]\n", | |
" [0 0 1 0 2 2 0 0 2 1 2 0 2 1 0]\n", | |
" [0 0 0 0 0 0 2 2 0 0 0 0 0 1 0]\n", | |
" [0 0 1 0 2 0 0 1 1 1 0 2 0 0 0]\n", | |
" [0 0 0 1 0 0 1 0 0 0 1 0 0 1 0]\n", | |
" [0 0 0 0 0 1 0 1 0 2 1 0 1 0 0]\n", | |
" [0 1 0 0 0 0 0 0 0 0 0 0 0 0 0]\n", | |
" [0 0 0 0 0 1 1 1 1 1 0 0 2 0 0]\n", | |
" [0 0 0 1 0 0 0 0 0 0 0 0 0 0 0]]\n" | |
] | |
} | |
], | |
"source": [ | |
"import polars as pl\n", | |
"from bs4 import BeautifulSoup\n", | |
"\n", | |
"def extact_yin_yang(html):\n", | |
" soup = BeautifulSoup(html, \"html.parser\")\n", | |
" result = []\n", | |
" \n", | |
" for div in soup.find_all(\"div\", class_=[\"cell-off\", \"cell-0\", \"cell-1\"]):\n", | |
" style = div.get(\"style\", \"\")\n", | |
" styles = dict(item.split(\": \") for item in style.split(\"; \") if \": \" in item)\n", | |
"\n", | |
" for cell_type, cell_class in enumerate(['cell-off', 'cell-1', 'cell-0']):\n", | |
" if cell_class in div[\"class\"]:\n", | |
" break\n", | |
" \n", | |
" result.append({\n", | |
" \"class\": cell_type,\n", | |
" \"top\": int(styles.get(\"top\", \"0px\").replace(\"px\", \"\")),\n", | |
" \"left\": int(styles.get(\"left\", \"0px\").replace(\"px\", \"\"))\n", | |
" })\n", | |
"\n", | |
" arr = pl.DataFrame(result).sort('top', 'left').pivot('left', index='top').drop('top').to_numpy()\n", | |
" return arr\n", | |
"\n", | |
"with open('tmp.html') as f:\n", | |
" puzzle = extact_yin_yang(f.read())\n", | |
"print(puzzle)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"id": "ba556c54-aa80-49f4-b948-c8a9a84e1217", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"from z3 import *\n", | |
"import numpy as np\n", | |
"from collections import defaultdict" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 10, | |
"id": "08cba47b-92ff-410c-9759-201a3edd3161", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"s = Solver()\n", | |
"h, w = puzzle.shape\n", | |
"edges = []\n", | |
"\n", | |
"cell_colors = {}\n", | |
"cell_numbers = {}\n", | |
"\n", | |
"for (r, c), v in np.ndenumerate(puzzle):\n", | |
" cell_colors[r, c] = Bool(f'color_{r}_{c}')\n", | |
" cell_numbers[r, c] = Int(f'step_{r}_{c}')\n", | |
" s.add(cell_numbers[r, c] >= 0)\n", | |
" s.add(cell_numbers[r, c] < h * w)\n", | |
" c1 = c + 1\n", | |
" r1 = r + 1\n", | |
" if c1 < w:\n", | |
" edges.extend([(r, c, r, c1), (r, c1, r, c)])\n", | |
" if r1 < h:\n", | |
" edges.extend([(r, c, r1, c), (r1, c, r, c)])\n", | |
"\n", | |
"edge_variables = {edge:Bool(f'edge_{edge}') for edge in edges}\n", | |
"\n", | |
"out_edges = defaultdict(list)\n", | |
"in_edges = defaultdict(list)\n", | |
"\n", | |
"for (r, c, r1, c1) in edges:\n", | |
" out_edges[r, c].append((r, c, r1, c1))\n", | |
" in_edges[r1, c1].append((r, c, r1, c1))\n", | |
"\n", | |
"for (r, c, r1, c1) in edges:\n", | |
" n1, n2 = sorted([(r, c), (r1, c1)])\n", | |
" edge1 = edge_variables[n1 + n2]\n", | |
" edge2 = edge_variables[n2 + n1]\n", | |
" s.add(AtMost(edge1, edge2, 1))\n", | |
"\n", | |
"start_loc_1 = next(zip(*np.where(puzzle == 1)))\n", | |
"start_loc_2 = next(zip(*np.where(puzzle == 2)))\n", | |
"\n", | |
"start_locs = [start_loc_1, start_loc_2]\n", | |
"\n", | |
"for (r, c), v in np.ndenumerate(puzzle):\n", | |
" if (r, c) not in start_locs:\n", | |
" s.add(PbEq([(edge_variables[v], 1) for v in in_edges[r, c]], 1))\n", | |
" s.add(cell_numbers[r, c] > 0)\n", | |
" else:\n", | |
" s.add(PbEq([(edge_variables[v], 1) for v in in_edges[r, c]], 0))\n", | |
" s.add(cell_numbers[r, c] == 0)\n", | |
" \n", | |
" if v == 1:\n", | |
" s.add(~cell_colors[r, c])\n", | |
" else:\n", | |
" s.add(cell_colors[r, c])\n", | |
"\n", | |
" for edge in out_edges[r, c]:\n", | |
" n1 = edge[:2]\n", | |
" n2 = edge[2:]\n", | |
" s.add(Implies(edge_variables[edge], cell_colors[n1] == cell_colors[n2]))\n", | |
" s.add(Implies(edge_variables[edge], cell_numbers[n1] + 1 == cell_numbers[n2]))\n", | |
"\n", | |
" for dr, dc in [(0, 1), (0, -1), (1, 0), (-1, 0)]:\n", | |
" r2 = r + dr\n", | |
" c2 = c + dc\n", | |
" if 0 <= r2 < h and 0 <= c2 < w:\n", | |
" s.add(Implies(cell_colors[r, c] == cell_colors[r2, c2], Or(edge_variables[r, c, r2, c2], edge_variables[r2, c2, r, c])))\n", | |
"\n", | |
"s.check()\n", | |
"m = s.model()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 7, | |
"id": "b3a2fd8f-a99c-4423-84cf-090f48378b8c", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"from matplotlib import pyplot as plt\n", | |
"from matplotlib.collections import LineCollection" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 8, | |
"id": "1a2c13ad-e6d3-4bcd-b090-fde47ae8f9f2", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
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", | |
"text/plain": [ | |
"<Figure size 500x500 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"fig, ax = plt.subplots(figsize=(5, 5))\n", | |
"\n", | |
"cells = np.zeros_like(puzzle)\n", | |
"for c, v in cell_colors.items():\n", | |
" if m[v]:\n", | |
" cells[c] = 1\n", | |
"\n", | |
"ax.pcolormesh(cells, edgecolor='gray', cmap=\"gray\")\n", | |
"\n", | |
"for (r, c), v in cell_numbers.items():\n", | |
" num = m[v].as_long()\n", | |
" color = 'black' if cells[r, c] == 1 else 'white'\n", | |
" ax.text(c + 0.5, r + 0.5, str(num), color=color, size=12)\n", | |
"\n", | |
"segments = []\n", | |
"for (r1, c1, r2, c2), edge in edge_variables.items():\n", | |
" if m[edge]:\n", | |
" segments.append([(c1 + 0.5, r1 + 0.5), (c2 + 0.5, r2 + 0.5)])\n", | |
"\n", | |
"ax.add_collection(LineCollection(segments))\n", | |
"ax.invert_yaxis()\n", | |
"ax.set_aspect('equal')\n", | |
"\n", | |
"ax.axis('off');" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"id": "f3872026-5205-4297-aa8f-b9fa6a8804f5", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"(2, 1)" | |
] | |
}, | |
"execution_count": 6, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"start_loc_1" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 7, | |
"id": "f56b86f9-e31f-4439-b6b2-e203c4029a30", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"(array([2, 3, 4, 4, 5, 6, 6], dtype=int64),\n", | |
" array([1, 1, 3, 7, 0, 2, 8], dtype=int64))" | |
] | |
}, | |
"execution_count": 7, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"np.where(puzzle == 1)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"id": "249c7922-5750-413a-a70a-1cb6e95f5027", | |
"metadata": {}, | |
"outputs": [], | |
"source": [] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Python 3 (ipykernel)", | |
"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": "3.12.2" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 5 | |
} |
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