2022_01_Hooks8-z3.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "id": "Oq1xibzMT1Wl"
   },
   "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 copy import deepcopy as dcopy,copy\n",
    "from skimage.morphology import label\n",
    "from scipy.ndimage import measurements\n",
    "from scipy.signal import convolve2d\n",
    "import numba as nb\n",
    "from IPython.display import Markdown, display,HTML,Image\n",
    "from z3 import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "id": "ICTfvjZUT1Wr"
   },
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "### Puzzle as published \n",
       "https://www.janestreet.com/puzzles/hooks-8-index/"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {
      "image/png": {
       "width": 400
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/markdown": [
       "### Hooks 8\n",
       "\n",
       "The grid above can be partitioned into 9 L-shaped “hooks”. The largest\n",
       "is 9-by-9 (contains 17 squares), the next largest is 8-by-8 (contains\n",
       "15 squares), and so on. The smallest hook is just a single\n",
       "square. Find where the hooks are located, and place nine 9’s in one of\n",
       "the hooks, eight 8’s in another, seven 7’s in another, and so on.\n",
       "The filled squares must form a connected region. (Squares are\n",
       "“connected” if they are orthogonally adjacent.) Furthermore, every\n",
       "2-by-2 region must contain at least one unfilled square.\n",
       "The sum of the values in each of the connected regions must be\n",
       "the same.\n",
       "The answer to this puzzle is the product of the areas of the connected\n",
       "groups of empty squares in the completed grid."
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Hooks again but the change is the nxn hook does not have to contain n's.\n",
    "# Also shows up a issue in my connectivitity calcs when looking for valid grids,which excluded the right answer. Now \n",
    "# it's only checked at the end but makes it a lot slower. Used z3 to speed up the final placements (~20 times faster than\n",
    "# numba enhanced backtracking !!) so got the speed down.  \n",
    "\n",
    "url='https://www.janestreet.com/puzzles/hooks-8-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/2022-01-01-hooks-8.png',width=400))\n",
    "display(Markdown(\"### \"+y[8]+\"\\n\\n\"+str(\"\\n\".join(y[11:15]))))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "id": "0VI0NM6ET1Wt"
   },
   "outputs": [],
   "source": [
    "# Setup the constraints\n",
    "# use 20 for the filled cells and treat as smaller \n",
    "# group with a different total\n",
    "\n",
    "\n",
    "groups = np.array([[ 1, 0, 0, 0, 2, 3, 3, 4, 4],\n",
    "                   [ 1, 0, 5, 5, 2,14, 3, 4, 7],\n",
    "                   [ 1, 8, 8, 5, 5,14,14, 7, 7],\n",
    "                   [ 1, 8, 9, 9, 5,14,10,11,11],\n",
    "                   [ 1, 9, 9,12,12,12,10,13,13],\n",
    "                   [ 1, 6, 9, 9, 9,12,10,10,13],\n",
    "                   [ 1, 6, 6,15,16,12,17,17,18],\n",
    "                   [ 1, 1,15,15,16,12,17,17,18],\n",
    "                   [ 1,15,15,16,16,12,12,18,18]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 374
    },
    "id": "zexQ8t1kT1W3",
    "outputId": "7c2aec4e-d2fb-45d8-fc7e-679051faafed"
   },
   "outputs": [],
   "source": [
    "def sol_print(solved,matrix,groups):\n",
    "    fig,ax = plt.subplots(1,2,figsize=(6,3))\n",
    "    x = np.array((solved*matrix).astype('int').astype('str'))\n",
    "    x[x==\"0\"] =\"\"\n",
    "    groups_fixed = dcopy(groups)\n",
    "    groups_fixed[0,2] = 0\n",
    "    ax1 =sns.heatmap(solved,annot=x,cbar=False,cmap=\"tab10\",fmt=\"\",linewidths=2,ax=ax[0],linecolor='k',annot_kws={\"fontsize\":12,\"color\":\"k\"},alpha=.6)\n",
    "    ax2 =sns.heatmap(groups_fixed,annot=x,cbar=False,cmap=\"tab20\",fmt=\"\",linewidths=2,ax=ax[1],linecolor='k',annot_kws={\"fontsize\":12,\"color\":\"k\"},alpha=.6)\n",
    "    ax1.axis(\"off\")\n",
    "    ax2.axis(\"off\")\n",
    "    plt.tight_layout()\n",
    "    plt.show()\n",
    "    \n",
    "def neigh(x,y,N):\n",
    "    return [(i+x,j+y) for i,j in [(-1,0),(0,-1),(1,0),(0,1)] if i+x >=0 and i+x <N and j+y >=0 and j+y <N]\n",
    "\n",
    "def areas(grid):\n",
    "    labels, num = measurements.label(np.logical_not(grid!=0))\n",
    "    areas = measurements.sum(np.logical_not(grid!=0), labels, index=range(1, num+1))\n",
    "    print(areas)\n",
    "    return np.prod(areas)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 374
    },
    "id": "zexQ8t1kT1W3",
    "outputId": "7c2aec4e-d2fb-45d8-fc7e-679051faafed"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x216 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Took 9.7110 seconds\n",
      "[ 1.  1.  1.  2.  1.  1.  1. 17.  5.  1.  1.  4.]\n",
      "solution is 680\n"
     ]
    }
   ],
   "source": [
    "start = time.time()\n",
    "N =9\n",
    "#set up the solver and variables.\n",
    "s = Tactic(\"qffd\").solver()\n",
    "\n",
    "# H== hooks\n",
    "H = np.array(IntVector(\"h\",N**2),dtype=object).reshape((N,N))\n",
    "\n",
    "row_fix =IntVector(\"r\",N)\n",
    "col_fix =IntVector(\"c\",N)\n",
    "\n",
    "s += [And(e>0,e<=N) for (i,j),e in np.ndenumerate(H)]\n",
    "s += [And(e>=0,e<N) for e in row_fix+col_fix]\n",
    "\n",
    "s += Distinct(row_fix)\n",
    "s += Distinct(col_fix)\n",
    "\n",
    "for n in range(1,N+1):\n",
    "    s+=PbEq([(e==n,1) for _,e in np.ndenumerate(H)],2*n-1)\n",
    "    if n!=1:\n",
    "        s+=PbEq([(If(e==int(n),Sum([H[k,l] ==int(n) for k,l in neigh(i,j,N)]),0)==1,1)                 \n",
    "                        for (i,j),e in np.ndenumerate(H)],2)\n",
    "        \n",
    "for n in range(N):\n",
    "    s += [Implies(e == int(n+1),Or(i == row_fix[n],j == col_fix[n])) for (i,j),e in np.ndenumerate(H)]\n",
    "    \n",
    "# X== nums  \n",
    "X = np.array(IntVector(\"x\",N**2),dtype=object).reshape((N,N))    \n",
    "hook_num = IntVector(\"n\",N)\n",
    "\n",
    "s += [And(e>0,e<N+1) for e in hook_num]\n",
    "s += [And(e>0,e<N+1) for (i,j),e in np.ndenumerate(X)]\n",
    "s += Distinct(hook_num)\n",
    "\n",
    "for n in range(N):\n",
    "    s += [Implies(e==n+1,X[i,j]==hook_num[n]) for (i,j),e in np.ndenumerate(H)]\n",
    "\n",
    "# Y = filled    \n",
    "Y = np.array(IntVector(\"y\",N**2),dtype=object).reshape((N,N))\n",
    "s += [Or(e==0,e==1) for (i,j),e in np.ndenumerate(Y)]\n",
    "\n",
    "for n in range(1,N+1):\n",
    "    s+=PbEq([(And(e==n,Y[i,j]==1),1) for (i,j),e in np.ndenumerate(X)],n)\n",
    "\n",
    "# no 2x2\n",
    "s += [Or(Y[i,j] ==0,Y[i+1,j] ==0,Y[i,j+1] ==0,Y[i+1,j+1] ==0) for j in range(N-1) for i in range(N-1)]\n",
    "    \n",
    "edge ={}\n",
    "Z = np.array(IntVector('z', N*N),dtype=object).reshape(N,N)\n",
    "\n",
    "# create edges and variable to define order in connectivity tree\n",
    "for i in range(N):\n",
    "    for j in range(N):  \n",
    "        for (k,l) in neigh(i,j,N):\n",
    "            edge[(i,j,k,l)] = Int(\"e%d%d%d%d\" % (i,j,k,l))\n",
    "            s+=Or(edge[(i,j,k,l)] ==0,edge[(i,j,k,l)] ==1)\n",
    "\n",
    "# no edges into or out of unfilled cells. Only one edge per cell     \n",
    "for i in range(N):\n",
    "    for j in range(N):       \n",
    "        s += Implies(Y[i,j] ==0 , Sum([edge[(k,l,i,j)] for (k,l) in neigh(i,j,N)]) == 0)\n",
    "        s += Implies(Y[i,j] ==0 , Sum([edge[(i,j,k,l)] for (k,l) in neigh(i,j,N)]) == 0)\n",
    "        s += Implies(Y[i,j] > 0 , Sum([edge[(k,l,i,j)] for (k,l) in neigh(i,j,N)]) <= 1)\n",
    "\n",
    "        for (k,l) in neigh(i,j,N):\n",
    "            # Make edges one way to form a tree\n",
    "            s += (edge[(i,j,k,l)] + edge[(k,l,i,j)]) <= 1\n",
    "\n",
    "    # limit the order values\n",
    "    s += [And(e>= 0 ,e <=int(N*N)) for (i,j),e in np.ndenumerate(Z)]\n",
    "\n",
    "    # order is ascending along edges\n",
    "    for i in range(N):\n",
    "        for j in range(N):            \n",
    "            s += [Implies(And(Y[i,j]!=0,edge[(k,l,i,j)]==1),Z[i,j] > Z[k,l]) for (k,l) in neigh(i,j,N)]\n",
    "\n",
    "    # only one cell with no feed in => root\n",
    "    s += PbEq([(And(Y[i,j] != 0,Sum([edge[(k,l,i,j)] for (k,l) in neigh(i,j,N) ]) == 0),1) for i in range(N) for j in range(N)],1)\n",
    "\n",
    "#fixed an       \n",
    "s += X[0,2]==8 \n",
    "s += And([sum([Y[i,j]*e for (i,j),e in np.ndenumerate(X) if groups[i,j] == g]) == 15 for g in range(19)])\n",
    "           \n",
    "if s.check() == sat:\n",
    "    m = s.model()\n",
    "    evalu = np.vectorize(lambda x:m.evaluate(x).as_long())\n",
    "    result_x =  evalu(X)\n",
    "    result_y =  evalu(Y)\n",
    "    sol_print(result_x,result_y,groups)\n",
    "    print(\"Took {:.4f} seconds\".format(time.time()- start))\n",
    "    soln = result_x*result_y\n",
    "    print(\"solution is {:,.0f}\".format(areas(soln)))\n",
    "else:\n",
    "    print(\"Fail\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 374
    },
    "id": "zexQ8t1kT1W3",
    "outputId": "7c2aec4e-d2fb-45d8-fc7e-679051faafed"
   },
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "### Solution as published \n",
       "https://www.janestreet.com/puzzles/hooks-8-solution/"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {
      "image/png": {
       "width": 200
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/markdown": [
       "### Hooks 8\n",
       "\n",
       "The above image shows the shaded L shapes with the assigned numbers that\n",
       "satisfies the requirements. The empty regions have areas 1, 1, 1, 2,\n",
       "1, 1, 1, 17, 5, 1, 1, and 4, which multiply to\n",
       "680\n",
       "."
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "url='https://www.janestreet.com/puzzles/hooks-8-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/2022-01-01-hooks-8-solution.png',width=200))\n",
    "y =[text for text in soup.body.stripped_strings]\n",
    "#display([(i,j) for i,j in enumerate(y)])\n",
    "display(Markdown(\"### \"+y[8]+\"\\n\\n\"+str(\"\\n\".join(y[11:14]))))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "colab": {
   "include_colab_link": true,
   "name": "JaneSt-Feb18.ipynb",
   "provenance": []
  },
  "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": "3.9.12"
  },
  "vscode": {
   "interpreter": {
    "hash": "aee8b7b246df8f9039afb4144a1f6fd8d2ca17a180786b69acc140d282b71a49"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}