2019_08_KnightMoves3-Z3.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import time\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "import requests\n",
    "from bs4 import BeautifulSoup\n",
    "import itertools\n",
    "from scipy.ndimage import label, sum\n",
    "from z3 import *\n",
    "from IPython.display import Markdown, display,IFrame,HTML,Image"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "### Puzzle as published \n",
       "https://www.janestreet.com/puzzles/knight-moves-3-index/"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {
      "image/png": {
       "width": 400
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/markdown": [
       "### Knight Moves 3\n",
       "\n",
       "Place the numbers 1, 2,…,\n",
       "N\n",
       "(for some\n",
       "N\n",
       ") on a subset of the squares\n",
       "above, so that it is possible for a knight to move from 1 to\n",
       "N\n",
       "via a\n",
       "series of legal knight’s moves. Each number\n",
       "inside\n",
       "the grid represents\n",
       "the height of a building located at that square, and we can think of\n",
       "the knight as jumping from rooftop to rooftop on this series of\n",
       "incrementally taller buildings.\n",
       "A number\n",
       "outside\n",
       "the grid indicates the first (i.e. smallest) number\n",
       "for which the knight was visible looking into the grid in the\n",
       "direction of that row or column. (As shown in the example.)\n",
       "The answer to this puzzle is the\n",
       "smallest achievable product\n",
       "of the\n",
       "areas of the connected groups of empty squares in the completed grid."
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "url='https://www.janestreet.com/puzzles/knight-moves-3-index/'\n",
    "res = requests.get(url)\n",
    "soup = BeautifulSoup(res.content, 'html.parser')\n",
    "display(Markdown('### Puzzle as published \\n'+url))\n",
    "y =[text for text in soup.body.stripped_strings]\n",
    "#display([(i,j) for i,j in enumerate(y)])\n",
    "display(Image('https://www.janestreet.com/puzzles/20190805_knight_moves_3.png',width=400))\n",
    "display(Markdown(\"### \"+y[8]+\"\\n\\n\"+str(\"\\n\".join(y[11:26]))))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Setup the constraints\n",
    "top = np.array([0,29,19,33,20,27,36,35])\n",
    "rhs = np.array([0,26,36,25,37,4,23,6])\n",
    "bot = np.array([13,14,12,2,1,5,7,0])\n",
    "lhs = np.array([18,19,30,10,16,11,12,0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "# finds the product of empty regions\n",
    "def areas(grid):\n",
    "    labels, num = label(grid < 1)\n",
    "    areas = sum(grid < 1, labels, index=range(1, num + 1))\n",
    "    return int(np.prod(areas))\n",
    "\n",
    "# defines how a knight can move\n",
    "def moves(i, j, N):\n",
    "    moves = [(2, 1), (1, 2), (-1, 2), (-2, 1), (-2, -1), (-1, -2), (1, -2), (2, -1)]\n",
    "    return [(i + x, j + y) for x, y in moves if 0 <= i + x < N and 0 <= j + y < N]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "<h3>Solved in 9.414136 seconds</h3>"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/markdown": [
       "<h3>Product of regions is 144</h3>"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "solution, smallest = None, float('inf')\n",
    "start = time.time()\n",
    "# this method of looping is needed to guarentee we have the minimum as z3 optimize does not work with our areas function\n",
    "while True:\n",
    "    check = solution\n",
    "    for HIGHEST in range(37,50):\n",
    "        X = np.array(IntVector(\"x\", 8**2), dtype=object).reshape((8, 8))\n",
    "        # faster than using just s = Solver() for this problem\n",
    "        s = Tactic(\"qffd\").solver()\n",
    "\n",
    "        # every value needs to be greater than 0 but it is unclear how high it can go also one instance of every number\n",
    "        s += [And(val >= 0, val <= HIGHEST) for pos, val in np.ndenumerate(X)]\n",
    "        s += [PbEq([(val == n, 1) for (r, c), val in np.ndenumerate(X)], 1) for n in range(1, HIGHEST + 1)]\n",
    "        # moves in the pattern of a knight\n",
    "        s += [Or(val == 0, val == 1, PbEq([(X[k][l] == val - 1, 1) for k, l in moves(i, j, 8)], 1)) for (i, j), val in np.ndenumerate(X)]\n",
    "\n",
    "        # this chunk isn't needed for the code to work, but it makes it run faster\n",
    "        # the corners are forced\n",
    "        s += [And(X[0][0] == 18, X[0][7] == 35, X[7][0] == 13, X[7][7] == 6)]\n",
    "        # values on both a top or bottom and a lhs or rhs are also forced along with respective zeros\n",
    "        s += [And(X[1][0] == 0, X[1][1] == 0, X[1][2] == 19, X[0][2] == 0)]\n",
    "        s += [And(X[0][6] == 0, X[1][6] == 0, X[2][6] == 36, X[2][7] == 0)]\n",
    "        s += [And(X[6][0] == 0, X[6][1] == 0, X[6][2] == 12, X[7][2] == 0)]\n",
    "\n",
    "        # constraint for value when looking in - don't do for corners since those are forced\n",
    "        for n in range(1, 7):\n",
    "            s += If(X[0][n] == 0, If(X[1][n] == 0, If(X[2][n] == 0, If(X[3][n] == 0, If(X[4][n] == 0, If(X[5][n] == 0, \n",
    "                    X[6][n] == int(top[n]), X[5][n] == int(top[n])), X[4][n] == int(top[n])), X[3][n] == int(top[n])), \n",
    "                    X[2][n] == int(top[n])), X[1][n] == int(top[n])), X[0][n] == int(top[n]))\n",
    "\n",
    "            s += If(X[n][0] == 0, If(X[n][1] == 0, If(X[n][2] == 0, If(X[n][3] == 0, If(X[n][4] == 0, If(X[n][5] == 0, \n",
    "                    X[n][6] == int(lhs[n]), X[n][5] == int(lhs[n])), X[n][4] == int(lhs[n])), X[n][3] == int(lhs[n])), \n",
    "                    X[n][2] == int(lhs[n])), X[n][1] == int(lhs[n])), X[n][0] == int(lhs[n]))\n",
    "\n",
    "            s += If(X[7][n] == 0, If(X[6][n] == 0, If(X[5][n] == 0, If(X[4][n] == 0, If(X[3][n] == 0, If(X[2][n] == 0, \n",
    "                    X[1][n] == int(bot[n]), X[2][n] == int(bot[n])), X[3][n] == int(bot[n])), X[4][n] == int(bot[n])), \n",
    "                    X[5][n] == int(bot[n])), X[6][n] == int(bot[n])), X[7][n] == int(bot[n]))\n",
    "\n",
    "            s += If(X[n][7] == 0, If(X[n][6] == 0, If(X[n][5] == 0, If(X[n][4] == 0, If(X[n][3] == 0, If(X[n][2] == 0, \n",
    "                    X[n][1] == int(rhs[n]), X[n][2] == int(rhs[n])), X[n][3] == int(rhs[n])), X[n][4] == int(rhs[n])), \n",
    "                    X[n][5] == int(rhs[n])), X[n][6] == int(rhs[n])), X[n][7] == int(rhs[n]))\n",
    "        \n",
    "        while s.check() == sat:\n",
    "            m = s.model()\n",
    "            evalu = np.vectorize(lambda x: m.evaluate(x).as_long())\n",
    "            r = evalu(X)\n",
    "            val = areas(r)\n",
    "            if val >= smallest:\n",
    "                s += Or([e!=e for (i,j),e in np.ndenumerate(X) ])\n",
    "            else:\n",
    "                solution = r\n",
    "                smallest = val\n",
    "\n",
    "    if np.array_equal(check, solution):\n",
    "        break\n",
    "\n",
    "\n",
    "display(Markdown(f\"<h3>Solved in {time.time() - start:.6f} seconds</h3>\"))\n",
    "display(Markdown(f\"<h3>Product of regions is {smallest}</h3>\"))\n",
    "fig, ax = plt.subplots(1, 1, figsize=(4, 4))\n",
    "x = np.array(solution, dtype='int').astype('str')\n",
    "x[x==\"0\"] = \"-\"\n",
    "x[x==\"-1\"] = \"-\"\n",
    "sns.heatmap(solution, annot=x, cbar=False, cmap=\"Reds\", fmt=\"\", linewidths=1, center=75, linecolor=\"grey\", ax=ax)\n",
    "ax.axis(\"off\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "### Solution as published\n",
       "https://www.janestreet.com/puzzles/knight-moves-3-solution/"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {
      "image/png": {
       "width": 300
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<div class=\"col-12\">\n",
       "<p>The lowest possible product of the areas of the empty regions is 144,\n",
       "which can be achieved in a few ways. (One is shown above.)</p>\n",
       "<p>Congrats to this month’s solvers!</p>\n",
       "<div class=\"section-header-wrapper\">\n",
       "<h4 class=\"omit-as-of\" id=\"correct-submissions-from\"></h4>\n",
       "</div>\n",
       "<p class=\"correct-submissions margin-top-20\" data-directory=\"2019-08-01-knight-moves-3\"></p>\n",
       "</div>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "url='https://www.janestreet.com/puzzles/knight-moves-3-solution/'\n",
    "res = requests.get(url)\n",
    "soup = BeautifulSoup(res.content, 'html.parser')\n",
    "display(Markdown('### Solution as published\\n'+url))\n",
    "display(Image(\"https://www.janestreet.com/puzzles/20190831_knight_moves_3_sol.png\",width=300))\n",
    "HTML(str(soup.find_all('div', {'class' :'col-12'})[4]))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3.11.1 64-bit",
   "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": "3.11.1"
  },
  "orig_nbformat": 4,
  "vscode": {
   "interpreter": {
    "hash": "aee8b7b246df8f9039afb4144a1f6fd8d2ca17a180786b69acc140d282b71a49"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}