1061 lines
182 KiB
Plaintext
1061 lines
182 KiB
Plaintext
{
|
|
"nbformat": 4,
|
|
"nbformat_minor": 0,
|
|
"metadata": {
|
|
"colab": {
|
|
"provenance": [],
|
|
"authorship_tag": "ABX9TyMB6nkfgiGNF9TB3L9/dTxZ",
|
|
"include_colab_link": true
|
|
},
|
|
"kernelspec": {
|
|
"name": "python3",
|
|
"display_name": "Python 3"
|
|
},
|
|
"language_info": {
|
|
"name": "python"
|
|
}
|
|
},
|
|
"cells": [
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"id": "view-in-github",
|
|
"colab_type": "text"
|
|
},
|
|
"source": [
|
|
"<a href=\"https://colab.research.google.com/github/udlbook/udlbook/blob/main/Trees/SAT_Crossword.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"source": [
|
|
"<img src=\"data:image/svg+xml;base64,<?xml version="1.0" encoding="UTF-8"?>
<svg width="764.45" height="63.759" version="1.1" viewBox="0 0 764.45 63.759" xmlns="http://www.w3.org/2000/svg">
 <g transform="matrix(.73548 0 0 .73548 0 3.388)" stroke-width="1.3597">
  <rect x="5e-7" y="5e-7" width="77.387" height="77.387" ry="11.35" fill="#4469d8" opacity=".98" stroke-width="0"/>
  <text x="10.330567" y="65.761719" fill="#ffffff" font-family="Courier" font-size="93.483px" stroke-width="1.3597" style="line-height:1.25" xml:space="preserve"><tspan x="10.330567" y="65.761719" fill="#ffffff" font-family="Courier" stroke-width="1.3597">I </tspan></text>
  <rect x="96" y="5e-7" width="77.387" height="77.387" ry="11.35" fill="#4469d8" opacity=".98" stroke-width="0"/>
  <text x="106.33057" y="65.761719" fill="#ffffff" font-family="Courier" font-size="93.483px" stroke-width="1.3597" style="line-height:1.25" xml:space="preserve"><tspan x="106.33057" y="65.761719" fill="#ffffff" font-family="Courier" stroke-width="1.3597">C </tspan></text>
  <rect x="180" y="5e-7" width="77.387" height="77.387" ry="11.35" fill="#4469d8" opacity=".98" stroke-width="0"/>
  <text x="190.33057" y="65.761719" fill="#ffffff" font-family="Courier" font-size="93.483px" stroke-width="1.3597" style="line-height:1.25" xml:space="preserve"><tspan x="190.33057" y="65.761719" fill="#ffffff" font-family="Courier" stroke-width="1.3597">L </tspan></text>
  <rect x="264" y="5e-7" width="77.387" height="77.387" ry="11.35" fill="#4469d8" opacity=".98" stroke-width="0"/>
  <text x="274.33057" y="65.761719" fill="#ffffff" font-family="Courier" font-size="93.483px" stroke-width="1.3597" style="line-height:1.25" xml:space="preserve"><tspan x="274.33057" y="65.761719" fill="#ffffff" font-family="Courier" stroke-width="1.3597">I </tspan></text>
  <rect x="348" y="5e-7" width="77.387" height="77.387" ry="11.35" fill="#4469d8" opacity=".98" stroke-width="0"/>
  <text x="358.33057" y="65.761719" fill="#ffffff" font-family="Courier" font-size="93.483px" stroke-width="1.3597" style="line-height:1.25" xml:space="preserve"><tspan x="358.33057" y="65.761719" fill="#ffffff" font-family="Courier" stroke-width="1.3597">M </tspan></text>
  <rect x="432" y="5e-7" width="77.387" height="77.387" ry="11.35" fill="#4469d8" opacity=".98" stroke-width="0"/>
  <text x="442.33057" y="65.761719" fill="#ffffff" font-family="Courier" font-size="93.483px" stroke-width="1.3597" style="line-height:1.25" xml:space="preserve"><tspan x="442.33057" y="65.761719" fill="#ffffff" font-family="Courier" stroke-width="1.3597">B </tspan></text>
  <g transform="translate(2 1.5376)">
   <rect x="624" y="-1.5376" width="77.387" height="77.387" ry="11.35" fill="#4469d8" opacity=".98" stroke-width="0"/>
   <text x="634.33057" y="64.224167" fill="#ffffff" font-family="Courier" font-size="93.483px" stroke-width="1.3597" style="line-height:1.25" xml:space="preserve"><tspan x="634.33057" y="64.224167" fill="#ffffff" font-family="Courier" stroke-width="1.3597">T </tspan></text>
   <rect x="708" y="-1.5376" width="77.387" height="77.387" ry="11.35" fill="#4469d8" opacity=".98" stroke-width="0"/>
   <text x="718.33057" y="64.224167" fill="#ffffff" font-family="Courier" font-size="93.483px" stroke-width="1.3597" style="line-height:1.25" xml:space="preserve"><tspan x="718.33057" y="64.224167" fill="#ffffff" font-family="Courier" stroke-width="1.3597">R </tspan></text>
   <rect x="792" y="-1.5376" width="77.387" height="77.387" ry="11.35" fill="#4469d8" opacity=".98" stroke-width="0"/>
   <text x="802.33057" y="64.224167" fill="#ffffff" font-family="Courier" font-size="93.483px" stroke-width="1.3597" style="line-height:1.25" xml:space="preserve"><tspan x="802.33057" y="64.224167" fill="#ffffff" font-family="Courier" stroke-width="1.3597">E</tspan></text>
   <rect x="876" y="-1.5376" width="77.387" height="77.387" ry="11.35" fill="#4469d8" opacity=".98" stroke-width="0"/>
   <text x="886.33057" y="64.224167" fill="#ffffff" font-family="Courier" font-size="93.483px" stroke-width="1.3597" style="line-height:1.25" xml:space="preserve"><tspan x="886.33057" y="64.224167" fill="#ffffff" font-family="Courier" stroke-width="1.3597">E </tspan></text>
   <rect x="960" y="-1.5376" width="77.387" height="77.387" ry="11.35" fill="#4469d8" opacity=".98" stroke-width="0"/>
   <text x="970.33057" y="64.224167" fill="#ffffff" font-family="Courier" font-size="93.483px" stroke-width="1.3597" style="line-height:1.25" xml:space="preserve"><tspan x="970.33057" y="64.224167" fill="#ffffff" font-family="Courier" stroke-width="1.3597">S </tspan></text>
  </g>
  <g transform="matrix(1.0499 0 0 1.0499 -28.092 -.27293)" fill="#4469d8" stroke="#fdffff">
   <rect x="528" y="-1.5376" width="77.387" height="77.387" ry="11.35" opacity=".98" stroke-width="5.18"/>
   <g transform="matrix(.74592 0 0 .74367 530.84 1.6744)" stroke-width="5.2162" featureKey="inlineSymbolFeature-0">
    <g fill="#4469d8" stroke="#fdffff" stroke-width="5.2162">
     <g fill="#4469d8" stroke="#fdffff" stroke-width="5.2162">
      <path d="m47.659 81.427c0.358-7.981 1.333-15.917 1.152-23.917-0.01-0.425-0.544-0.843-0.94-0.54-2.356 1.801-4.811 3.219-7.664 4.104-3.649 1.132-7.703-2.328-5.814-5.981 0.758-1.466 2.146-2.708 3.447-3.672 0.467-0.346 0.358-1.176-0.315-1.165-3.154 0.054-10.835 1.149-10.042-4.386 0.481-3.365 6.29-5.458 8.917-6.84 0.333-0.175 0.435-0.73 0.127-0.981-6.663-5.431-3.069-14.647 5.731-12.788 0.272 0.058 0.563-0.033 0.706-0.287 2.235-3.995 4.276-8.063 7.106-11.688-0.356-0.147-0.712-0.294-1.067-0.442 0.294 3.116 2.036 5.269 4.337 7.272 2.459 2.142 7.634 4.27 8.085 7.845 0.481 3.821-6.549 4.356-6.054 7.588 0.33 2.147 1.354 3.423 3.021 4.74 1.052 0.831 1.968 1.405 3.017 2.329 1.818 2.036 1.596 4.223-0.667 6.561-1.486 0.252-2.927 0.138-4.32-0.341-0.556-0.144-0.945 0.435-0.706 0.918 1.412 2.842 3.23 5.449 3.529 8.707 0.821 8.969-7.237 1.748-8.13 0.875-0.813-0.793-1.6-1.561-2.486-2.27-0.623-0.498-1.514 0.38-0.885 0.884 3.399 2.717 6.507 7.782 11.132 4.42 4.323-3.142-0.524-10.114-2.08-13.246-0.235 0.306-0.471 0.612-0.706 0.918 3.9 1.01 8.231 0.447 7.941-4.452-0.117-1.973-1.259-3.644-2.8-4.778-1.468-1.081-6.729-4.234-3.68-6.41 1.261-0.899 2.453-1.826 3.548-2.929 2.294-2.311 1.726-4.94-0.326-7.105-3.535-3.732-9.97-5.682-10.521-11.525-0.044-0.47-0.692-0.921-1.067-0.442-1.267 1.622-6.265 11.724-7.841 11.391-2.234-0.472-4.485 0.06-6.418 1.186-4.105 2.391-3.919 7.903-1.738 11.448 0.122 0.199 1.517 2.084 1.782 1.944-1.682 0.885-3.351 1.737-4.951 2.768-1.664 1.072-4.177 3.262-3.904 5.54 0.671 5.619 7.144 4.902 11.409 4.829-0.105-0.388-0.21-0.776-0.315-1.165-3.56 2.636-8.58 11.381-0.562 12.174 2.34 0.231 4.247-0.259 6.423-1.142 0.883-0.358 1.698-0.845 2.525-1.311 0.775-0.437 1.976-2.122 2.008-0.692 0.166 7.357-0.865 14.714-1.194 22.056-0.036 0.804 1.214 0.801 1.25-2e-3z" fill="#4469d8" stroke="#fdffff" stroke-linejoin="round" stroke-width="5.2162"/>
     </g>
     <g fill="#4469d8" stroke="#fdffff" stroke-width="5.2162">
      <path d="m22.301 83.156c-0.441-6.032-1.072-12.618 0.266-18.564 0.138-0.613-0.578-1.042-1.045-0.608-1.743 1.625-3.443 2.831-5.732 3.604-6.34-3.393-7.913-6.373-4.717-8.939 0.988-0.856 2.034-1.633 3.139-2.329 0.287-0.191 0.397-0.544 0.225-0.855-0.658-1.178-1.392-2.163-2.251-3.191-4.397-5.264-0.382-9.414 4.759-10.875 0.271-0.077 0.455-0.322 0.459-0.603 0.036-2.864 0.313-5.642 1.094-8.407 1.865-6.606 10.255-9.181 13.143-1.487 0.28 0.748 1.489 0.424 1.205-0.332-2.517-6.706-9.574-7.649-13.918-2.003-2.305 2.996-2.61 7.466-2.759 11.084-0.035 0.85-3.839 2.269-4.496 2.694-1.034 0.669-2.219 2.098-2.45 3.312-0.808 4.233 1.103 6.056 3.512 9.323 0.405 0.548-5.327 5.252-5.317 7.279 0.016 3.468 2.455 5.64 5.605 6.645 3.404 1.086 7.127-1.932 9.386-4.037-0.349-0.203-0.697-0.405-1.045-0.608-1.368 6.079-0.762 12.734-0.311 18.896 0.056 0.8 1.306 0.806 1.248 1e-3z" fill="#4469d8" stroke="#fdffff" stroke-linejoin="round" stroke-width="5.2162"/>
     </g>
     <g fill="#4469d8" stroke="#fdffff" stroke-width="5.2162">
      <path d="m21.424 64.741c1.983 2.707 4.981 4.199 8.349 3.637 3.594-0.6 5.191-4.13 5.291-7.411 0.024-0.807-1.226-0.804-1.25 0-0.202 6.67-7.523 8.313-11.31 3.143-0.472-0.643-1.557-0.02-1.08 0.631z" fill="#4469d8" stroke="#fdffff" stroke-width="5.2162"/>
     </g>
     <g fill="#4469d8" stroke="#fdffff" stroke-width="5.2162">
      <path d="m74.661 80.878c2.869-5.406 3.251-12.191 2.679-18.182-0.036-0.381-0.375-0.742-0.791-0.603-1.482 0.496-9.677 1.84-5.634-4.557 0.251-0.397-0.075-0.952-0.54-0.94-4.913 0.123-9.233-0.937-9.57-6.683-0.047-0.801-1.297-0.806-1.25 0 0.201 3.426 1.375 5.828 4.622 7.214 1.514 0.646 3.278 0.7 4.894 0.751-0.658-0.021-0.338 3.074-0.216 3.489 0.625 2.13 4.101 2.773 5.896 2.466 2.606-0.446 1.551 3.288 1.477 5.177-0.15 3.833-0.832 7.82-2.646 11.236-0.378 0.713 0.701 1.345 1.079 0.632z" fill="#4469d8" stroke="#fdffff" stroke-width="5.2162"/>
     </g>
     <g fill="#4469d8" stroke="#fdffff" stroke-width="5.2162">
      <path d="m76.881 63.299c3.341-0.618 7.425-1.372 7.423-5.67 0-1.473-0.141-3.462-1.403-4.486 0.524 0.425 2.703-1.287 3.381-1.885 5.097-4.499 1.607-12.585-4.301-13.85-0.222-0.047 2.216-4.5 2.515-5.157 0.832-1.834 0.614-3.634-8e-3 -5.472-1.133-3.347-6.327-9.06-10.153-9.283-1.411-0.082-2.449-0.077-3.515 0.881-1.212 1.09 0.842 3.98-1.963 2.484-4.82-2.573-5.125 2.25-7.856 4.852-0.584 0.557 0.301 1.439 0.885 0.884 1.199-1.143 0.961-0.736 1.574-2.026 2.202-4.641 4.768-2.589 7.178-1.388 0.334 0.167 0.839 0.047 0.918-0.374 0.208-1.098 0.205-1.025 0.186-2.169 2.787-1.84 5.084-1.596 6.891 0.731 0.745 0.715 1.449 1.469 2.113 2.261 4.874 5.507 2.097 8.833-0.535 13.968-0.228 0.445 0.06 0.897 0.54 0.94 8.368 0.749 8.684 11.983 0.698 13.757-0.432 0.096-0.64 0.75-0.276 1.044 4.99 4.046-0.386 7.969-4.622 8.753-0.794 0.147-0.458 1.351 0.33 1.205z" fill="#4469d8" stroke="#fdffff" stroke-linejoin="round" stroke-width="5.2162"/>
     </g>
    </g>
   </g>
  </g>
 </g>
</svg>
\">"
|
|
],
|
|
"metadata": {
|
|
"id": "QjHXD27ieTS-"
|
|
}
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"source": [
|
|
"# Crosswords with SAT\n",
|
|
"\n",
|
|
"The purpose of this Python notebook is to use investigate using SAT to find a valid arrangement of known answers in a crossword puzzle.\n",
|
|
"\n",
|
|
"You should have completed the notebook on SAT constructions before attempting this notebook. Note: this exercise is pretty hard. Expect it to take a while!\n",
|
|
"\n",
|
|
"Work through the cells below, running each cell in turn. In various places you will see the words \"TODO\". Follow the instructions at these places and write code to complete the functions.\n",
|
|
"\n",
|
|
"You can save a local copy of this notebook in your Google account and work through it in Colab (recommended) or you can download the notebook and run it locally using Jupyter notebook or similar. If you are using CoLab, we recommend that turn off AI autocomplete (under cog icon in top-right corner), which will give you the answers and defeat the purpose of the exercise.\n",
|
|
"\n",
|
|
"A fully working version of this notebook with the complete answers can be found [here](https://github.com/udlbook/udlbook/blob/main/Trees/SAT_Crossword_Answers.ipynb).\n",
|
|
"\n",
|
|
"Contact me at iclimbtreesmail@gmail.com if you find any mistakes or have any suggestions."
|
|
],
|
|
"metadata": {
|
|
"id": "jtMs90veeZIn"
|
|
}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"# Install relevant packages\n",
|
|
"!pip install z3-solver\n",
|
|
"from z3 import *\n",
|
|
"import numpy as np\n",
|
|
"import time"
|
|
],
|
|
"metadata": {
|
|
"id": "mF6ngqCses3n",
|
|
"colab": {
|
|
"base_uri": "https://localhost:8080/"
|
|
},
|
|
"outputId": "9325fa59-8ad2-4cea-acd1-16843db6b19a"
|
|
},
|
|
"execution_count": 1,
|
|
"outputs": [
|
|
{
|
|
"output_type": "stream",
|
|
"name": "stdout",
|
|
"text": [
|
|
"Collecting z3-solver\n",
|
|
" Downloading z3_solver-4.15.0.0-py3-none-manylinux_2_17_x86_64.manylinux2014_x86_64.whl.metadata (602 bytes)\n",
|
|
"Downloading z3_solver-4.15.0.0-py3-none-manylinux_2_17_x86_64.manylinux2014_x86_64.whl (29.5 MB)\n",
|
|
"\u001b[2K \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m29.5/29.5 MB\u001b[0m \u001b[31m27.3 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n",
|
|
"\u001b[?25hInstalling collected packages: z3-solver\n",
|
|
"Successfully installed z3-solver-4.15.0.0\n"
|
|
]
|
|
}
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"source": [
|
|
"First let's write some code to visualize a crossword problem. We'll represent the crossword as a ndarray of integers where each integer represents a letter index and zero represents a blank spot. "
|
|
],
|
|
"metadata": {
|
|
"id": "3A5_7mByYrur"
|
|
}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"puzzle = ['ALCOVE NSEC MIC',\n",
|
|
" 'LEANED ALTO ADO',\n",
|
|
" 'LAVALAMPOON CON',\n",
|
|
" 'ASSN EKG GABLE',\n",
|
|
" ' DENTI MEMO ',\n",
|
|
" ' AEOLIANHARPOON',\n",
|
|
" 'MOANER SAX SKUA',\n",
|
|
" 'ERS MVP TWI PTS',\n",
|
|
" 'OTTO AUS ESPRIT',\n",
|
|
" 'WAILINGWALLOON ',\n",
|
|
" ' NARA IDLES ',\n",
|
|
" 'REDYE UMA ECHO',\n",
|
|
" 'ARI FILMBUFFOON',\n",
|
|
" 'JOE UTNE SLOPPY',\n",
|
|
" 'ASS LEAR CORTEX']\n",
|
|
"\n",
|
|
"# Convert to a list of lists\n",
|
|
"for i in range(len(puzzle)):\n",
|
|
" puzzle[i] = [char for char in puzzle[i]]\n",
|
|
"\n",
|
|
"# Represent the puzzle as integers in a grid\n",
|
|
"puzzle_as_integers = np.zeros((len(puzzle), len(puzzle[0])), dtype=int)\n",
|
|
"for i in range(len(puzzle)):\n",
|
|
" for j in range(len(puzzle[i])):\n",
|
|
" if puzzle[i][j] == ' ':\n",
|
|
" puzzle_as_integers[i][j] = 0\n",
|
|
" else:\n",
|
|
" puzzle_as_integers[i][j] = ord(puzzle[i][j]) - ord('A') + 1\n",
|
|
"\n",
|
|
"print(puzzle)\n",
|
|
"print(puzzle_as_integers)"
|
|
],
|
|
"metadata": {
|
|
"id": "cvGNbKkf-Qix",
|
|
"colab": {
|
|
"base_uri": "https://localhost:8080/"
|
|
},
|
|
"outputId": "6fb16e40-886c-4633-c768-11f5a6178aa8"
|
|
},
|
|
"execution_count": 2,
|
|
"outputs": [
|
|
{
|
|
"output_type": "stream",
|
|
"name": "stdout",
|
|
"text": [
|
|
"[['A', 'L', 'C', 'O', 'V', 'E', ' ', 'N', 'S', 'E', 'C', ' ', 'M', 'I', 'C'], ['L', 'E', 'A', 'N', 'E', 'D', ' ', 'A', 'L', 'T', 'O', ' ', 'A', 'D', 'O'], ['L', 'A', 'V', 'A', 'L', 'A', 'M', 'P', 'O', 'O', 'N', ' ', 'C', 'O', 'N'], ['A', 'S', 'S', 'N', ' ', ' ', 'E', 'K', 'G', ' ', 'G', 'A', 'B', 'L', 'E'], [' ', ' ', ' ', 'D', 'E', 'N', 'T', 'I', ' ', 'M', 'E', 'M', 'O', ' ', ' '], [' ', 'A', 'E', 'O', 'L', 'I', 'A', 'N', 'H', 'A', 'R', 'P', 'O', 'O', 'N'], ['M', 'O', 'A', 'N', 'E', 'R', ' ', 'S', 'A', 'X', ' ', 'S', 'K', 'U', 'A'], ['E', 'R', 'S', ' ', 'M', 'V', 'P', ' ', 'T', 'W', 'I', ' ', 'P', 'T', 'S'], ['O', 'T', 'T', 'O', ' ', 'A', 'U', 'S', ' ', 'E', 'S', 'P', 'R', 'I', 'T'], ['W', 'A', 'I', 'L', 'I', 'N', 'G', 'W', 'A', 'L', 'L', 'O', 'O', 'N', ' '], [' ', ' ', 'N', 'A', 'R', 'A', ' ', 'I', 'D', 'L', 'E', 'S', ' ', ' ', ' '], ['R', 'E', 'D', 'Y', 'E', ' ', 'U', 'M', 'A', ' ', ' ', 'E', 'C', 'H', 'O'], ['A', 'R', 'I', ' ', 'F', 'I', 'L', 'M', 'B', 'U', 'F', 'F', 'O', 'O', 'N'], ['J', 'O', 'E', ' ', 'U', 'T', 'N', 'E', ' ', 'S', 'L', 'O', 'P', 'P', 'Y'], ['A', 'S', 'S', ' ', 'L', 'E', 'A', 'R', ' ', 'C', 'O', 'R', 'T', 'E', 'X']]\n",
|
|
"[[ 1 12 3 15 22 5 0 14 19 5 3 0 13 9 3]\n",
|
|
" [12 5 1 14 5 4 0 1 12 20 15 0 1 4 15]\n",
|
|
" [12 1 22 1 12 1 13 16 15 15 14 0 3 15 14]\n",
|
|
" [ 1 19 19 14 0 0 5 11 7 0 7 1 2 12 5]\n",
|
|
" [ 0 0 0 4 5 14 20 9 0 13 5 13 15 0 0]\n",
|
|
" [ 0 1 5 15 12 9 1 14 8 1 18 16 15 15 14]\n",
|
|
" [13 15 1 14 5 18 0 19 1 24 0 19 11 21 1]\n",
|
|
" [ 5 18 19 0 13 22 16 0 20 23 9 0 16 20 19]\n",
|
|
" [15 20 20 15 0 1 21 19 0 5 19 16 18 9 20]\n",
|
|
" [23 1 9 12 9 14 7 23 1 12 12 15 15 14 0]\n",
|
|
" [ 0 0 14 1 18 1 0 9 4 12 5 19 0 0 0]\n",
|
|
" [18 5 4 25 5 0 21 13 1 0 0 5 3 8 15]\n",
|
|
" [ 1 18 9 0 6 9 12 13 2 21 6 6 15 15 14]\n",
|
|
" [10 15 5 0 21 20 14 5 0 19 12 15 16 16 25]\n",
|
|
" [ 1 19 19 0 12 5 1 18 0 3 15 18 20 5 24]]\n"
|
|
]
|
|
}
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"source": [
|
|
"Let's write a routine that draws this out nicely"
|
|
],
|
|
"metadata": {
|
|
"id": "v7UbEiIjYdxj"
|
|
}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"def draw_crossword(puzzle_as_integers):\n",
|
|
"\n",
|
|
" # Find number of rows and columns\n",
|
|
" n_rows = puzzle_as_integers.shape[0]\n",
|
|
" n_cols = puzzle_as_integers.shape[1]\n",
|
|
"\n",
|
|
" # Draw the top row\n",
|
|
" print(\"╔\", end=\"\")\n",
|
|
" for i in range(n_cols-1):\n",
|
|
" print(\"═╤\", end=\"\")\n",
|
|
" print(\"═╗\")\n",
|
|
"\n",
|
|
" for c_row in range(n_rows):\n",
|
|
" print(\"║\", end=\"\")\n",
|
|
" for c_col in range(n_cols):\n",
|
|
" if puzzle_as_integers[c_row][c_col] == 0:\n",
|
|
" print(u\"\\u2588\", end=\"\") # Use block character for blank spaces\n",
|
|
" else:\n",
|
|
" print(chr(puzzle_as_integers[c_row][c_col] + ord('A') - 1), end=\"\")\n",
|
|
" if(c_col < n_cols-1):\n",
|
|
" print(\"│\", end=\"\")\n",
|
|
" print(\"║\")\n",
|
|
"\n",
|
|
"\n",
|
|
" # Draw the bottom row\n",
|
|
" print(\"╚\", end=\"\")\n",
|
|
" for i in range(n_cols-1):\n",
|
|
" print(\"═╧\", end=\"\")\n",
|
|
" print(\"═╝\")\n",
|
|
"\n",
|
|
"draw_crossword(puzzle_as_integers)"
|
|
],
|
|
"metadata": {
|
|
"colab": {
|
|
"base_uri": "https://localhost:8080/"
|
|
},
|
|
"id": "gdJakiT6TrIU",
|
|
"outputId": "aa8f182f-ad60-47a6-e204-8d88c55e0501"
|
|
},
|
|
"execution_count": 3,
|
|
"outputs": [
|
|
{
|
|
"output_type": "stream",
|
|
"name": "stdout",
|
|
"text": [
|
|
"╔═╤═╤═╤═╤═╤═╤═╤═╤═╤═╤═╤═╤═╤═╤═╗\n",
|
|
"║A│L│C│O│V│E│█│N│S│E│C│█│M│I│C║\n",
|
|
"║L│E│A│N│E│D│█│A│L│T│O│█│A│D│O║\n",
|
|
"║L│A│V│A│L│A│M│P│O│O│N│█│C│O│N║\n",
|
|
"║A│S│S│N│█│█│E│K│G│█│G│A│B│L│E║\n",
|
|
"║█│█│█│D│E│N│T│I│█│M│E│M│O│█│█║\n",
|
|
"║█│A│E│O│L│I│A│N│H│A│R│P│O│O│N║\n",
|
|
"║M│O│A│N│E│R│█│S│A│X│█│S│K│U│A║\n",
|
|
"║E│R│S│█│M│V│P│█│T│W│I│█│P│T│S║\n",
|
|
"║O│T│T│O│█│A│U│S│█│E│S│P│R│I│T║\n",
|
|
"║W│A│I│L│I│N│G│W│A│L│L│O│O│N│█║\n",
|
|
"║█│█│N│A│R│A│█│I│D│L│E│S│█│█│█║\n",
|
|
"║R│E│D│Y│E│█│U│M│A│█│█│E│C│H│O║\n",
|
|
"║A│R│I│█│F│I│L│M│B│U│F│F│O│O│N║\n",
|
|
"║J│O│E│█│U│T│N│E│█│S│L│O│P│P│Y║\n",
|
|
"║A│S│S│█│L│E│A│R│█│C│O│R│T│E│X║\n",
|
|
"╚═╧═╧═╧═╧═╧═╧═╧═╧═╧═╧═╧═╧═╧═╧═╝\n"
|
|
]
|
|
}
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"source": [
|
|
"The goal of this notebook will be to take a set of words and create a crossword layout like this in an $n \\times n$ grid. We'll start with just a small set of clues. "
|
|
],
|
|
"metadata": {
|
|
"id": "yDJLSLNtaSOL"
|
|
}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"words = ['JANE','AUSTEN','PRIDE','NOVEL','DARCY','SENSE','EMMA','ESTATE','BENNET','BATH']"
|
|
],
|
|
"metadata": {
|
|
"id": "NkNMg4GuYt-h"
|
|
},
|
|
"execution_count": 4,
|
|
"outputs": []
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"source": [
|
|
"This routine takes the words, the grid size and various sets of constraints (which we'll develop one at a time). It then runs the solver and displays the crossword."
|
|
],
|
|
"metadata": {
|
|
"id": "NdMkEZVl_Dci"
|
|
}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"def solve_crossword (words, grid_size, add_constraint_set1, add_constraint_set2=None, add_constraint_set3=None, add_constraint_set4=None ):\n",
|
|
"\n",
|
|
" # Fail if longest string length is not large enough to fit in grid\n",
|
|
" longest_string_length = max(len(word) for word in words)\n",
|
|
" if (longest_string_length > grid_size):\n",
|
|
" print(\"Grid too small, no solution\")\n",
|
|
" return ;\n",
|
|
"\n",
|
|
" start_time = time.time()\n",
|
|
" # Set up the SAT solver\n",
|
|
" s = Solver()\n",
|
|
"\n",
|
|
" # This is a dictionary indexed by the word itself that contains the possible start\n",
|
|
" # positions of that word, and whether the word is horizontal or vertical\n",
|
|
" # The number of possible positions depend on the grid size as the word cannot exceed\n",
|
|
" # grid.\n",
|
|
" placement_vars = {word: [[[z3.Bool(f'{word}_{orientation}_{y},{x}')\n",
|
|
" for x in range(grid_size-len(word)+1 if orientation=='h' else grid_size )]\n",
|
|
" for y in range(grid_size-len(word)+1 if orientation=='v' else grid_size )]\n",
|
|
" for orientation in ['h', 'v']]\n",
|
|
" for word in words}\n",
|
|
"\n",
|
|
" # We will also define variables that indicate which letter is at which position\n",
|
|
" # There are 27 possible characters (26 letters and a blank)\n",
|
|
" # The variable x_i,j,k says that letter k is at position (i,j) in the grid\n",
|
|
" letter_posns = [[[ z3.Bool(\"x_{%d,%d,%d}\"%((i,j,k))) for k in range(0,27)] for j in range(0,grid_size) ] for i in range(0,grid_size) ]\n",
|
|
"\n",
|
|
" # Add the first set of constraints\n",
|
|
" s = add_constraint_set1(s, placement_vars, letter_posns, words, grid_size)\n",
|
|
" # Add the second set of constraints if present\n",
|
|
" if add_constraint_set2 is not None:\n",
|
|
" s = add_constraint_set2(s, placement_vars, letter_posns, words, grid_size)\n",
|
|
" # Add the third set of constraints if present\n",
|
|
" if add_constraint_set3 is not None:\n",
|
|
" s = add_constraint_set3(s, placement_vars, letter_posns, words, grid_size)\n",
|
|
" # Add the fourth set of constraints if present\n",
|
|
" if add_constraint_set4 is not None:\n",
|
|
" s = add_constraint_set4(s, placement_vars, letter_posns, words, grid_size)\n",
|
|
"\n",
|
|
" # Check if it's SAT (creates the model)\n",
|
|
" sat_result = s.check()\n",
|
|
" print(f\"Executed in {time.time()-start_time:.4f} seconds\")\n",
|
|
" print(sat_result)\n",
|
|
"\n",
|
|
" # If it is then draw crossword, otherwise return\n",
|
|
" if sat_result == z3.sat:\n",
|
|
" result = s.model()\n",
|
|
" # Retrieve the letter position variables in the solution as [0,1] values\n",
|
|
" x_vals = np.array([[[int(bool(result[z3.Bool(\"x_{%d,%d,%d}\" % (i, j, k))])) for k in range(0,27)] for j in range(0,grid_size) ] for i in range(0,grid_size) ] )\n",
|
|
"\n",
|
|
" # Find the position of the true value -- this is now a 2D grid with a 0 where there is a space and a value 1-26 representing a letter\n",
|
|
" solution = np.argmax(x_vals, axis=2)\n",
|
|
" # Draw the solution\n",
|
|
" draw_crossword(solution)\n",
|
|
" else:\n",
|
|
" print(\"No solution\")"
|
|
],
|
|
"metadata": {
|
|
"id": "Ijuo4HdSefPk"
|
|
},
|
|
"execution_count": 5,
|
|
"outputs": []
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"source": [
|
|
"Here's a couple of helpful routines that we can make use of"
|
|
],
|
|
"metadata": {
|
|
"id": "BBD_gK-q_AaT"
|
|
}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"# Takes a list of z3.Bool variables and returns constraints\n",
|
|
"# ensuring that there is exactly one true\n",
|
|
"def exactly_one(x):\n",
|
|
" return PbEq([(i,1) for i in x],1)\n",
|
|
"\n",
|
|
"# Converts a word in capital letters to its indices so 'ABD' becomes [1,2,4]\n",
|
|
"def letter_to_index(word):\n",
|
|
" return [ord(char) - ord('A') + 1 for char in word]"
|
|
],
|
|
"metadata": {
|
|
"id": "O5p-8Ul6cvsk"
|
|
},
|
|
"execution_count": 6,
|
|
"outputs": []
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"source": [
|
|
"Let's work on the first set of constraints. \n",
|
|
"\n",
|
|
"\n",
|
|
"1. Each word can only appear at one valid position\n",
|
|
"2. Each position in the grid can have only a single letter present\n",
|
|
"3. The letters implied by the word positions must agree where the words overlap\n",
|
|
"\n"
|
|
],
|
|
"metadata": {
|
|
"id": "VT-QNf-FHClF"
|
|
}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"def add_constraint_set1(s, placement_vars, letter_posns, words, grid_size):\n",
|
|
" # Constraint 1: Each word can only be placed in exactly one position\n",
|
|
" for word in words:\n",
|
|
" # TODO implement this constraint\n",
|
|
" # Replace these lines\n",
|
|
" print(placement_vars[word]) # Will help you understand what to do!\n",
|
|
" s.add(placement_vars[word][0][0][0])\n",
|
|
"\n",
|
|
" # Constraint 2: Each grid position can only have one letter present\n",
|
|
" for i in range(0,grid_size):\n",
|
|
" for j in range(0,grid_size):\n",
|
|
" #TODO implement this constraint\n",
|
|
" # Replace this line\n",
|
|
" s.add(letter_posns[0][0][0])\n",
|
|
"\n",
|
|
" # Constraint 3: If a word is in a given position and orientation, the letters at the\n",
|
|
" # appropriate grid positions must correspond (uses the routine letter_to_index() defined above)\n",
|
|
" for word in words:\n",
|
|
" for i in range(0,grid_size):\n",
|
|
" # We'll do the horizontal words for you. Read this code closely.\n",
|
|
" for j in range(0,grid_size-len(word)+1):\n",
|
|
" for letter_index in range(0,len(word)):\n",
|
|
" s.add(Implies(placement_vars[word][0][i][j], letter_posns[i][j+letter_index][letter_to_index(word)[letter_index]]))\n",
|
|
" # TODO define an equivalent constraint for the vertical positions\n",
|
|
" # Replace this line\n",
|
|
" s.add(letter_posns[0][0][0])\n",
|
|
"\n",
|
|
" return s"
|
|
],
|
|
"metadata": {
|
|
"id": "NdjsISBCFr6K"
|
|
},
|
|
"execution_count": 19,
|
|
"outputs": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"# Let's test this routine so far\n",
|
|
"solve_crossword(words, 10, add_constraint_set1)"
|
|
],
|
|
"metadata": {
|
|
"colab": {
|
|
"base_uri": "https://localhost:8080/"
|
|
},
|
|
"id": "ksTQlgvnHiqK",
|
|
"outputId": "498bce1e-26fc-47ed-b067-31b01ac4e65c"
|
|
},
|
|
"execution_count": 20,
|
|
"outputs": [
|
|
{
|
|
"output_type": "stream",
|
|
"name": "stdout",
|
|
"text": [
|
|
"[[[JANE_h_0,0, JANE_h_0,1, JANE_h_0,2, JANE_h_0,3, JANE_h_0,4, JANE_h_0,5, JANE_h_0,6], [JANE_h_1,0, JANE_h_1,1, JANE_h_1,2, JANE_h_1,3, JANE_h_1,4, JANE_h_1,5, JANE_h_1,6], [JANE_h_2,0, JANE_h_2,1, JANE_h_2,2, JANE_h_2,3, JANE_h_2,4, JANE_h_2,5, JANE_h_2,6], [JANE_h_3,0, JANE_h_3,1, JANE_h_3,2, JANE_h_3,3, JANE_h_3,4, JANE_h_3,5, JANE_h_3,6], [JANE_h_4,0, JANE_h_4,1, JANE_h_4,2, JANE_h_4,3, JANE_h_4,4, JANE_h_4,5, JANE_h_4,6], [JANE_h_5,0, JANE_h_5,1, JANE_h_5,2, JANE_h_5,3, JANE_h_5,4, JANE_h_5,5, JANE_h_5,6], [JANE_h_6,0, JANE_h_6,1, JANE_h_6,2, JANE_h_6,3, JANE_h_6,4, JANE_h_6,5, JANE_h_6,6], [JANE_h_7,0, JANE_h_7,1, JANE_h_7,2, JANE_h_7,3, JANE_h_7,4, JANE_h_7,5, JANE_h_7,6], [JANE_h_8,0, JANE_h_8,1, JANE_h_8,2, JANE_h_8,3, JANE_h_8,4, JANE_h_8,5, JANE_h_8,6], [JANE_h_9,0, JANE_h_9,1, JANE_h_9,2, JANE_h_9,3, JANE_h_9,4, JANE_h_9,5, JANE_h_9,6]], [[JANE_v_0,0, JANE_v_0,1, JANE_v_0,2, JANE_v_0,3, JANE_v_0,4, JANE_v_0,5, JANE_v_0,6, JANE_v_0,7, JANE_v_0,8, JANE_v_0,9], [JANE_v_1,0, JANE_v_1,1, JANE_v_1,2, JANE_v_1,3, JANE_v_1,4, JANE_v_1,5, JANE_v_1,6, JANE_v_1,7, JANE_v_1,8, JANE_v_1,9], [JANE_v_2,0, JANE_v_2,1, JANE_v_2,2, JANE_v_2,3, JANE_v_2,4, JANE_v_2,5, JANE_v_2,6, JANE_v_2,7, JANE_v_2,8, JANE_v_2,9], [JANE_v_3,0, JANE_v_3,1, JANE_v_3,2, JANE_v_3,3, JANE_v_3,4, JANE_v_3,5, JANE_v_3,6, JANE_v_3,7, JANE_v_3,8, JANE_v_3,9], [JANE_v_4,0, JANE_v_4,1, JANE_v_4,2, JANE_v_4,3, JANE_v_4,4, JANE_v_4,5, JANE_v_4,6, JANE_v_4,7, JANE_v_4,8, JANE_v_4,9], [JANE_v_5,0, JANE_v_5,1, JANE_v_5,2, JANE_v_5,3, JANE_v_5,4, JANE_v_5,5, JANE_v_5,6, JANE_v_5,7, JANE_v_5,8, JANE_v_5,9], [JANE_v_6,0, JANE_v_6,1, JANE_v_6,2, JANE_v_6,3, JANE_v_6,4, JANE_v_6,5, JANE_v_6,6, JANE_v_6,7, JANE_v_6,8, JANE_v_6,9]]]\n",
|
|
"[[[AUSTEN_h_0,0, AUSTEN_h_0,1, AUSTEN_h_0,2, AUSTEN_h_0,3, AUSTEN_h_0,4], [AUSTEN_h_1,0, AUSTEN_h_1,1, AUSTEN_h_1,2, AUSTEN_h_1,3, AUSTEN_h_1,4], [AUSTEN_h_2,0, AUSTEN_h_2,1, AUSTEN_h_2,2, AUSTEN_h_2,3, AUSTEN_h_2,4], [AUSTEN_h_3,0, AUSTEN_h_3,1, AUSTEN_h_3,2, AUSTEN_h_3,3, AUSTEN_h_3,4], [AUSTEN_h_4,0, AUSTEN_h_4,1, AUSTEN_h_4,2, AUSTEN_h_4,3, AUSTEN_h_4,4], [AUSTEN_h_5,0, AUSTEN_h_5,1, AUSTEN_h_5,2, AUSTEN_h_5,3, AUSTEN_h_5,4], [AUSTEN_h_6,0, AUSTEN_h_6,1, AUSTEN_h_6,2, AUSTEN_h_6,3, AUSTEN_h_6,4], [AUSTEN_h_7,0, AUSTEN_h_7,1, AUSTEN_h_7,2, AUSTEN_h_7,3, AUSTEN_h_7,4], [AUSTEN_h_8,0, AUSTEN_h_8,1, AUSTEN_h_8,2, AUSTEN_h_8,3, AUSTEN_h_8,4], [AUSTEN_h_9,0, AUSTEN_h_9,1, AUSTEN_h_9,2, AUSTEN_h_9,3, AUSTEN_h_9,4]], [[AUSTEN_v_0,0, AUSTEN_v_0,1, AUSTEN_v_0,2, AUSTEN_v_0,3, AUSTEN_v_0,4, AUSTEN_v_0,5, AUSTEN_v_0,6, AUSTEN_v_0,7, AUSTEN_v_0,8, AUSTEN_v_0,9], [AUSTEN_v_1,0, AUSTEN_v_1,1, AUSTEN_v_1,2, AUSTEN_v_1,3, AUSTEN_v_1,4, AUSTEN_v_1,5, AUSTEN_v_1,6, AUSTEN_v_1,7, AUSTEN_v_1,8, AUSTEN_v_1,9], [AUSTEN_v_2,0, AUSTEN_v_2,1, AUSTEN_v_2,2, AUSTEN_v_2,3, AUSTEN_v_2,4, AUSTEN_v_2,5, AUSTEN_v_2,6, AUSTEN_v_2,7, AUSTEN_v_2,8, AUSTEN_v_2,9], [AUSTEN_v_3,0, AUSTEN_v_3,1, AUSTEN_v_3,2, AUSTEN_v_3,3, AUSTEN_v_3,4, AUSTEN_v_3,5, AUSTEN_v_3,6, AUSTEN_v_3,7, AUSTEN_v_3,8, AUSTEN_v_3,9], [AUSTEN_v_4,0, AUSTEN_v_4,1, AUSTEN_v_4,2, AUSTEN_v_4,3, AUSTEN_v_4,4, AUSTEN_v_4,5, AUSTEN_v_4,6, AUSTEN_v_4,7, AUSTEN_v_4,8, AUSTEN_v_4,9]]]\n",
|
|
"[[[PRIDE_h_0,0, PRIDE_h_0,1, PRIDE_h_0,2, PRIDE_h_0,3, PRIDE_h_0,4, PRIDE_h_0,5], [PRIDE_h_1,0, PRIDE_h_1,1, PRIDE_h_1,2, PRIDE_h_1,3, PRIDE_h_1,4, PRIDE_h_1,5], [PRIDE_h_2,0, PRIDE_h_2,1, PRIDE_h_2,2, PRIDE_h_2,3, PRIDE_h_2,4, PRIDE_h_2,5], [PRIDE_h_3,0, PRIDE_h_3,1, PRIDE_h_3,2, PRIDE_h_3,3, PRIDE_h_3,4, PRIDE_h_3,5], [PRIDE_h_4,0, PRIDE_h_4,1, PRIDE_h_4,2, PRIDE_h_4,3, PRIDE_h_4,4, PRIDE_h_4,5], [PRIDE_h_5,0, PRIDE_h_5,1, PRIDE_h_5,2, PRIDE_h_5,3, PRIDE_h_5,4, PRIDE_h_5,5], [PRIDE_h_6,0, PRIDE_h_6,1, PRIDE_h_6,2, PRIDE_h_6,3, PRIDE_h_6,4, PRIDE_h_6,5], [PRIDE_h_7,0, PRIDE_h_7,1, PRIDE_h_7,2, PRIDE_h_7,3, PRIDE_h_7,4, PRIDE_h_7,5], [PRIDE_h_8,0, PRIDE_h_8,1, PRIDE_h_8,2, PRIDE_h_8,3, PRIDE_h_8,4, PRIDE_h_8,5], [PRIDE_h_9,0, PRIDE_h_9,1, PRIDE_h_9,2, PRIDE_h_9,3, PRIDE_h_9,4, PRIDE_h_9,5]], [[PRIDE_v_0,0, PRIDE_v_0,1, PRIDE_v_0,2, PRIDE_v_0,3, PRIDE_v_0,4, PRIDE_v_0,5, PRIDE_v_0,6, PRIDE_v_0,7, PRIDE_v_0,8, PRIDE_v_0,9], [PRIDE_v_1,0, PRIDE_v_1,1, PRIDE_v_1,2, PRIDE_v_1,3, PRIDE_v_1,4, PRIDE_v_1,5, PRIDE_v_1,6, PRIDE_v_1,7, PRIDE_v_1,8, PRIDE_v_1,9], [PRIDE_v_2,0, PRIDE_v_2,1, PRIDE_v_2,2, PRIDE_v_2,3, PRIDE_v_2,4, PRIDE_v_2,5, PRIDE_v_2,6, PRIDE_v_2,7, PRIDE_v_2,8, PRIDE_v_2,9], [PRIDE_v_3,0, PRIDE_v_3,1, PRIDE_v_3,2, PRIDE_v_3,3, PRIDE_v_3,4, PRIDE_v_3,5, PRIDE_v_3,6, PRIDE_v_3,7, PRIDE_v_3,8, PRIDE_v_3,9], [PRIDE_v_4,0, PRIDE_v_4,1, PRIDE_v_4,2, PRIDE_v_4,3, PRIDE_v_4,4, PRIDE_v_4,5, PRIDE_v_4,6, PRIDE_v_4,7, PRIDE_v_4,8, PRIDE_v_4,9], [PRIDE_v_5,0, PRIDE_v_5,1, PRIDE_v_5,2, PRIDE_v_5,3, PRIDE_v_5,4, PRIDE_v_5,5, PRIDE_v_5,6, PRIDE_v_5,7, PRIDE_v_5,8, PRIDE_v_5,9]]]\n",
|
|
"[[[NOVEL_h_0,0, NOVEL_h_0,1, NOVEL_h_0,2, NOVEL_h_0,3, NOVEL_h_0,4, NOVEL_h_0,5], [NOVEL_h_1,0, NOVEL_h_1,1, NOVEL_h_1,2, NOVEL_h_1,3, NOVEL_h_1,4, NOVEL_h_1,5], [NOVEL_h_2,0, NOVEL_h_2,1, NOVEL_h_2,2, NOVEL_h_2,3, NOVEL_h_2,4, NOVEL_h_2,5], [NOVEL_h_3,0, NOVEL_h_3,1, NOVEL_h_3,2, NOVEL_h_3,3, NOVEL_h_3,4, NOVEL_h_3,5], [NOVEL_h_4,0, NOVEL_h_4,1, NOVEL_h_4,2, NOVEL_h_4,3, NOVEL_h_4,4, NOVEL_h_4,5], [NOVEL_h_5,0, NOVEL_h_5,1, NOVEL_h_5,2, NOVEL_h_5,3, NOVEL_h_5,4, NOVEL_h_5,5], [NOVEL_h_6,0, NOVEL_h_6,1, NOVEL_h_6,2, NOVEL_h_6,3, NOVEL_h_6,4, NOVEL_h_6,5], [NOVEL_h_7,0, NOVEL_h_7,1, NOVEL_h_7,2, NOVEL_h_7,3, NOVEL_h_7,4, NOVEL_h_7,5], [NOVEL_h_8,0, NOVEL_h_8,1, NOVEL_h_8,2, NOVEL_h_8,3, NOVEL_h_8,4, NOVEL_h_8,5], [NOVEL_h_9,0, NOVEL_h_9,1, NOVEL_h_9,2, NOVEL_h_9,3, NOVEL_h_9,4, NOVEL_h_9,5]], [[NOVEL_v_0,0, NOVEL_v_0,1, NOVEL_v_0,2, NOVEL_v_0,3, NOVEL_v_0,4, NOVEL_v_0,5, NOVEL_v_0,6, NOVEL_v_0,7, NOVEL_v_0,8, NOVEL_v_0,9], [NOVEL_v_1,0, NOVEL_v_1,1, NOVEL_v_1,2, NOVEL_v_1,3, NOVEL_v_1,4, NOVEL_v_1,5, NOVEL_v_1,6, NOVEL_v_1,7, NOVEL_v_1,8, NOVEL_v_1,9], [NOVEL_v_2,0, NOVEL_v_2,1, NOVEL_v_2,2, NOVEL_v_2,3, NOVEL_v_2,4, NOVEL_v_2,5, NOVEL_v_2,6, NOVEL_v_2,7, NOVEL_v_2,8, NOVEL_v_2,9], [NOVEL_v_3,0, NOVEL_v_3,1, NOVEL_v_3,2, NOVEL_v_3,3, NOVEL_v_3,4, NOVEL_v_3,5, NOVEL_v_3,6, NOVEL_v_3,7, NOVEL_v_3,8, NOVEL_v_3,9], [NOVEL_v_4,0, NOVEL_v_4,1, NOVEL_v_4,2, NOVEL_v_4,3, NOVEL_v_4,4, NOVEL_v_4,5, NOVEL_v_4,6, NOVEL_v_4,7, NOVEL_v_4,8, NOVEL_v_4,9], [NOVEL_v_5,0, NOVEL_v_5,1, NOVEL_v_5,2, NOVEL_v_5,3, NOVEL_v_5,4, NOVEL_v_5,5, NOVEL_v_5,6, NOVEL_v_5,7, NOVEL_v_5,8, NOVEL_v_5,9]]]\n",
|
|
"[[[DARCY_h_0,0, DARCY_h_0,1, DARCY_h_0,2, DARCY_h_0,3, DARCY_h_0,4, DARCY_h_0,5], [DARCY_h_1,0, DARCY_h_1,1, DARCY_h_1,2, DARCY_h_1,3, DARCY_h_1,4, DARCY_h_1,5], [DARCY_h_2,0, DARCY_h_2,1, DARCY_h_2,2, DARCY_h_2,3, DARCY_h_2,4, DARCY_h_2,5], [DARCY_h_3,0, DARCY_h_3,1, DARCY_h_3,2, DARCY_h_3,3, DARCY_h_3,4, DARCY_h_3,5], [DARCY_h_4,0, DARCY_h_4,1, DARCY_h_4,2, DARCY_h_4,3, DARCY_h_4,4, DARCY_h_4,5], [DARCY_h_5,0, DARCY_h_5,1, DARCY_h_5,2, DARCY_h_5,3, DARCY_h_5,4, DARCY_h_5,5], [DARCY_h_6,0, DARCY_h_6,1, DARCY_h_6,2, DARCY_h_6,3, DARCY_h_6,4, DARCY_h_6,5], [DARCY_h_7,0, DARCY_h_7,1, DARCY_h_7,2, DARCY_h_7,3, DARCY_h_7,4, DARCY_h_7,5], [DARCY_h_8,0, DARCY_h_8,1, DARCY_h_8,2, DARCY_h_8,3, DARCY_h_8,4, DARCY_h_8,5], [DARCY_h_9,0, DARCY_h_9,1, DARCY_h_9,2, DARCY_h_9,3, DARCY_h_9,4, DARCY_h_9,5]], [[DARCY_v_0,0, DARCY_v_0,1, DARCY_v_0,2, DARCY_v_0,3, DARCY_v_0,4, DARCY_v_0,5, DARCY_v_0,6, DARCY_v_0,7, DARCY_v_0,8, DARCY_v_0,9], [DARCY_v_1,0, DARCY_v_1,1, DARCY_v_1,2, DARCY_v_1,3, DARCY_v_1,4, DARCY_v_1,5, DARCY_v_1,6, DARCY_v_1,7, DARCY_v_1,8, DARCY_v_1,9], [DARCY_v_2,0, DARCY_v_2,1, DARCY_v_2,2, DARCY_v_2,3, DARCY_v_2,4, DARCY_v_2,5, DARCY_v_2,6, DARCY_v_2,7, DARCY_v_2,8, DARCY_v_2,9], [DARCY_v_3,0, DARCY_v_3,1, DARCY_v_3,2, DARCY_v_3,3, DARCY_v_3,4, DARCY_v_3,5, DARCY_v_3,6, DARCY_v_3,7, DARCY_v_3,8, DARCY_v_3,9], [DARCY_v_4,0, DARCY_v_4,1, DARCY_v_4,2, DARCY_v_4,3, DARCY_v_4,4, DARCY_v_4,5, DARCY_v_4,6, DARCY_v_4,7, DARCY_v_4,8, DARCY_v_4,9], [DARCY_v_5,0, DARCY_v_5,1, DARCY_v_5,2, DARCY_v_5,3, DARCY_v_5,4, DARCY_v_5,5, DARCY_v_5,6, DARCY_v_5,7, DARCY_v_5,8, DARCY_v_5,9]]]\n",
|
|
"[[[SENSE_h_0,0, SENSE_h_0,1, SENSE_h_0,2, SENSE_h_0,3, SENSE_h_0,4, SENSE_h_0,5], [SENSE_h_1,0, SENSE_h_1,1, SENSE_h_1,2, SENSE_h_1,3, SENSE_h_1,4, SENSE_h_1,5], [SENSE_h_2,0, SENSE_h_2,1, SENSE_h_2,2, SENSE_h_2,3, SENSE_h_2,4, SENSE_h_2,5], [SENSE_h_3,0, SENSE_h_3,1, SENSE_h_3,2, SENSE_h_3,3, SENSE_h_3,4, SENSE_h_3,5], [SENSE_h_4,0, SENSE_h_4,1, SENSE_h_4,2, SENSE_h_4,3, SENSE_h_4,4, SENSE_h_4,5], [SENSE_h_5,0, SENSE_h_5,1, SENSE_h_5,2, SENSE_h_5,3, SENSE_h_5,4, SENSE_h_5,5], [SENSE_h_6,0, SENSE_h_6,1, SENSE_h_6,2, SENSE_h_6,3, SENSE_h_6,4, SENSE_h_6,5], [SENSE_h_7,0, SENSE_h_7,1, SENSE_h_7,2, SENSE_h_7,3, SENSE_h_7,4, SENSE_h_7,5], [SENSE_h_8,0, SENSE_h_8,1, SENSE_h_8,2, SENSE_h_8,3, SENSE_h_8,4, SENSE_h_8,5], [SENSE_h_9,0, SENSE_h_9,1, SENSE_h_9,2, SENSE_h_9,3, SENSE_h_9,4, SENSE_h_9,5]], [[SENSE_v_0,0, SENSE_v_0,1, SENSE_v_0,2, SENSE_v_0,3, SENSE_v_0,4, SENSE_v_0,5, SENSE_v_0,6, SENSE_v_0,7, SENSE_v_0,8, SENSE_v_0,9], [SENSE_v_1,0, SENSE_v_1,1, SENSE_v_1,2, SENSE_v_1,3, SENSE_v_1,4, SENSE_v_1,5, SENSE_v_1,6, SENSE_v_1,7, SENSE_v_1,8, SENSE_v_1,9], [SENSE_v_2,0, SENSE_v_2,1, SENSE_v_2,2, SENSE_v_2,3, SENSE_v_2,4, SENSE_v_2,5, SENSE_v_2,6, SENSE_v_2,7, SENSE_v_2,8, SENSE_v_2,9], [SENSE_v_3,0, SENSE_v_3,1, SENSE_v_3,2, SENSE_v_3,3, SENSE_v_3,4, SENSE_v_3,5, SENSE_v_3,6, SENSE_v_3,7, SENSE_v_3,8, SENSE_v_3,9], [SENSE_v_4,0, SENSE_v_4,1, SENSE_v_4,2, SENSE_v_4,3, SENSE_v_4,4, SENSE_v_4,5, SENSE_v_4,6, SENSE_v_4,7, SENSE_v_4,8, SENSE_v_4,9], [SENSE_v_5,0, SENSE_v_5,1, SENSE_v_5,2, SENSE_v_5,3, SENSE_v_5,4, SENSE_v_5,5, SENSE_v_5,6, SENSE_v_5,7, SENSE_v_5,8, SENSE_v_5,9]]]\n",
|
|
"[[[EMMA_h_0,0, EMMA_h_0,1, EMMA_h_0,2, EMMA_h_0,3, EMMA_h_0,4, EMMA_h_0,5, EMMA_h_0,6], [EMMA_h_1,0, EMMA_h_1,1, EMMA_h_1,2, EMMA_h_1,3, EMMA_h_1,4, EMMA_h_1,5, EMMA_h_1,6], [EMMA_h_2,0, EMMA_h_2,1, EMMA_h_2,2, EMMA_h_2,3, EMMA_h_2,4, EMMA_h_2,5, EMMA_h_2,6], [EMMA_h_3,0, EMMA_h_3,1, EMMA_h_3,2, EMMA_h_3,3, EMMA_h_3,4, EMMA_h_3,5, EMMA_h_3,6], [EMMA_h_4,0, EMMA_h_4,1, EMMA_h_4,2, EMMA_h_4,3, EMMA_h_4,4, EMMA_h_4,5, EMMA_h_4,6], [EMMA_h_5,0, EMMA_h_5,1, EMMA_h_5,2, EMMA_h_5,3, EMMA_h_5,4, EMMA_h_5,5, EMMA_h_5,6], [EMMA_h_6,0, EMMA_h_6,1, EMMA_h_6,2, EMMA_h_6,3, EMMA_h_6,4, EMMA_h_6,5, EMMA_h_6,6], [EMMA_h_7,0, EMMA_h_7,1, EMMA_h_7,2, EMMA_h_7,3, EMMA_h_7,4, EMMA_h_7,5, EMMA_h_7,6], [EMMA_h_8,0, EMMA_h_8,1, EMMA_h_8,2, EMMA_h_8,3, EMMA_h_8,4, EMMA_h_8,5, EMMA_h_8,6], [EMMA_h_9,0, EMMA_h_9,1, EMMA_h_9,2, EMMA_h_9,3, EMMA_h_9,4, EMMA_h_9,5, EMMA_h_9,6]], [[EMMA_v_0,0, EMMA_v_0,1, EMMA_v_0,2, EMMA_v_0,3, EMMA_v_0,4, EMMA_v_0,5, EMMA_v_0,6, EMMA_v_0,7, EMMA_v_0,8, EMMA_v_0,9], [EMMA_v_1,0, EMMA_v_1,1, EMMA_v_1,2, EMMA_v_1,3, EMMA_v_1,4, EMMA_v_1,5, EMMA_v_1,6, EMMA_v_1,7, EMMA_v_1,8, EMMA_v_1,9], [EMMA_v_2,0, EMMA_v_2,1, EMMA_v_2,2, EMMA_v_2,3, EMMA_v_2,4, EMMA_v_2,5, EMMA_v_2,6, EMMA_v_2,7, EMMA_v_2,8, EMMA_v_2,9], [EMMA_v_3,0, EMMA_v_3,1, EMMA_v_3,2, EMMA_v_3,3, EMMA_v_3,4, EMMA_v_3,5, EMMA_v_3,6, EMMA_v_3,7, EMMA_v_3,8, EMMA_v_3,9], [EMMA_v_4,0, EMMA_v_4,1, EMMA_v_4,2, EMMA_v_4,3, EMMA_v_4,4, EMMA_v_4,5, EMMA_v_4,6, EMMA_v_4,7, EMMA_v_4,8, EMMA_v_4,9], [EMMA_v_5,0, EMMA_v_5,1, EMMA_v_5,2, EMMA_v_5,3, EMMA_v_5,4, EMMA_v_5,5, EMMA_v_5,6, EMMA_v_5,7, EMMA_v_5,8, EMMA_v_5,9], [EMMA_v_6,0, EMMA_v_6,1, EMMA_v_6,2, EMMA_v_6,3, EMMA_v_6,4, EMMA_v_6,5, EMMA_v_6,6, EMMA_v_6,7, EMMA_v_6,8, EMMA_v_6,9]]]\n",
|
|
"[[[ESTATE_h_0,0, ESTATE_h_0,1, ESTATE_h_0,2, ESTATE_h_0,3, ESTATE_h_0,4], [ESTATE_h_1,0, ESTATE_h_1,1, ESTATE_h_1,2, ESTATE_h_1,3, ESTATE_h_1,4], [ESTATE_h_2,0, ESTATE_h_2,1, ESTATE_h_2,2, ESTATE_h_2,3, ESTATE_h_2,4], [ESTATE_h_3,0, ESTATE_h_3,1, ESTATE_h_3,2, ESTATE_h_3,3, ESTATE_h_3,4], [ESTATE_h_4,0, ESTATE_h_4,1, ESTATE_h_4,2, ESTATE_h_4,3, ESTATE_h_4,4], [ESTATE_h_5,0, ESTATE_h_5,1, ESTATE_h_5,2, ESTATE_h_5,3, ESTATE_h_5,4], [ESTATE_h_6,0, ESTATE_h_6,1, ESTATE_h_6,2, ESTATE_h_6,3, ESTATE_h_6,4], [ESTATE_h_7,0, ESTATE_h_7,1, ESTATE_h_7,2, ESTATE_h_7,3, ESTATE_h_7,4], [ESTATE_h_8,0, ESTATE_h_8,1, ESTATE_h_8,2, ESTATE_h_8,3, ESTATE_h_8,4], [ESTATE_h_9,0, ESTATE_h_9,1, ESTATE_h_9,2, ESTATE_h_9,3, ESTATE_h_9,4]], [[ESTATE_v_0,0, ESTATE_v_0,1, ESTATE_v_0,2, ESTATE_v_0,3, ESTATE_v_0,4, ESTATE_v_0,5, ESTATE_v_0,6, ESTATE_v_0,7, ESTATE_v_0,8, ESTATE_v_0,9], [ESTATE_v_1,0, ESTATE_v_1,1, ESTATE_v_1,2, ESTATE_v_1,3, ESTATE_v_1,4, ESTATE_v_1,5, ESTATE_v_1,6, ESTATE_v_1,7, ESTATE_v_1,8, ESTATE_v_1,9], [ESTATE_v_2,0, ESTATE_v_2,1, ESTATE_v_2,2, ESTATE_v_2,3, ESTATE_v_2,4, ESTATE_v_2,5, ESTATE_v_2,6, ESTATE_v_2,7, ESTATE_v_2,8, ESTATE_v_2,9], [ESTATE_v_3,0, ESTATE_v_3,1, ESTATE_v_3,2, ESTATE_v_3,3, ESTATE_v_3,4, ESTATE_v_3,5, ESTATE_v_3,6, ESTATE_v_3,7, ESTATE_v_3,8, ESTATE_v_3,9], [ESTATE_v_4,0, ESTATE_v_4,1, ESTATE_v_4,2, ESTATE_v_4,3, ESTATE_v_4,4, ESTATE_v_4,5, ESTATE_v_4,6, ESTATE_v_4,7, ESTATE_v_4,8, ESTATE_v_4,9]]]\n",
|
|
"[[[BENNET_h_0,0, BENNET_h_0,1, BENNET_h_0,2, BENNET_h_0,3, BENNET_h_0,4], [BENNET_h_1,0, BENNET_h_1,1, BENNET_h_1,2, BENNET_h_1,3, BENNET_h_1,4], [BENNET_h_2,0, BENNET_h_2,1, BENNET_h_2,2, BENNET_h_2,3, BENNET_h_2,4], [BENNET_h_3,0, BENNET_h_3,1, BENNET_h_3,2, BENNET_h_3,3, BENNET_h_3,4], [BENNET_h_4,0, BENNET_h_4,1, BENNET_h_4,2, BENNET_h_4,3, BENNET_h_4,4], [BENNET_h_5,0, BENNET_h_5,1, BENNET_h_5,2, BENNET_h_5,3, BENNET_h_5,4], [BENNET_h_6,0, BENNET_h_6,1, BENNET_h_6,2, BENNET_h_6,3, BENNET_h_6,4], [BENNET_h_7,0, BENNET_h_7,1, BENNET_h_7,2, BENNET_h_7,3, BENNET_h_7,4], [BENNET_h_8,0, BENNET_h_8,1, BENNET_h_8,2, BENNET_h_8,3, BENNET_h_8,4], [BENNET_h_9,0, BENNET_h_9,1, BENNET_h_9,2, BENNET_h_9,3, BENNET_h_9,4]], [[BENNET_v_0,0, BENNET_v_0,1, BENNET_v_0,2, BENNET_v_0,3, BENNET_v_0,4, BENNET_v_0,5, BENNET_v_0,6, BENNET_v_0,7, BENNET_v_0,8, BENNET_v_0,9], [BENNET_v_1,0, BENNET_v_1,1, BENNET_v_1,2, BENNET_v_1,3, BENNET_v_1,4, BENNET_v_1,5, BENNET_v_1,6, BENNET_v_1,7, BENNET_v_1,8, BENNET_v_1,9], [BENNET_v_2,0, BENNET_v_2,1, BENNET_v_2,2, BENNET_v_2,3, BENNET_v_2,4, BENNET_v_2,5, BENNET_v_2,6, BENNET_v_2,7, BENNET_v_2,8, BENNET_v_2,9], [BENNET_v_3,0, BENNET_v_3,1, BENNET_v_3,2, BENNET_v_3,3, BENNET_v_3,4, BENNET_v_3,5, BENNET_v_3,6, BENNET_v_3,7, BENNET_v_3,8, BENNET_v_3,9], [BENNET_v_4,0, BENNET_v_4,1, BENNET_v_4,2, BENNET_v_4,3, BENNET_v_4,4, BENNET_v_4,5, BENNET_v_4,6, BENNET_v_4,7, BENNET_v_4,8, BENNET_v_4,9]]]\n",
|
|
"[[[BATH_h_0,0, BATH_h_0,1, BATH_h_0,2, BATH_h_0,3, BATH_h_0,4, BATH_h_0,5, BATH_h_0,6], [BATH_h_1,0, BATH_h_1,1, BATH_h_1,2, BATH_h_1,3, BATH_h_1,4, BATH_h_1,5, BATH_h_1,6], [BATH_h_2,0, BATH_h_2,1, BATH_h_2,2, BATH_h_2,3, BATH_h_2,4, BATH_h_2,5, BATH_h_2,6], [BATH_h_3,0, BATH_h_3,1, BATH_h_3,2, BATH_h_3,3, BATH_h_3,4, BATH_h_3,5, BATH_h_3,6], [BATH_h_4,0, BATH_h_4,1, BATH_h_4,2, BATH_h_4,3, BATH_h_4,4, BATH_h_4,5, BATH_h_4,6], [BATH_h_5,0, BATH_h_5,1, BATH_h_5,2, BATH_h_5,3, BATH_h_5,4, BATH_h_5,5, BATH_h_5,6], [BATH_h_6,0, BATH_h_6,1, BATH_h_6,2, BATH_h_6,3, BATH_h_6,4, BATH_h_6,5, BATH_h_6,6], [BATH_h_7,0, BATH_h_7,1, BATH_h_7,2, BATH_h_7,3, BATH_h_7,4, BATH_h_7,5, BATH_h_7,6], [BATH_h_8,0, BATH_h_8,1, BATH_h_8,2, BATH_h_8,3, BATH_h_8,4, BATH_h_8,5, BATH_h_8,6], [BATH_h_9,0, BATH_h_9,1, BATH_h_9,2, BATH_h_9,3, BATH_h_9,4, BATH_h_9,5, BATH_h_9,6]], [[BATH_v_0,0, BATH_v_0,1, BATH_v_0,2, BATH_v_0,3, BATH_v_0,4, BATH_v_0,5, BATH_v_0,6, BATH_v_0,7, BATH_v_0,8, BATH_v_0,9], [BATH_v_1,0, BATH_v_1,1, BATH_v_1,2, BATH_v_1,3, BATH_v_1,4, BATH_v_1,5, BATH_v_1,6, BATH_v_1,7, BATH_v_1,8, BATH_v_1,9], [BATH_v_2,0, BATH_v_2,1, BATH_v_2,2, BATH_v_2,3, BATH_v_2,4, BATH_v_2,5, BATH_v_2,6, BATH_v_2,7, BATH_v_2,8, BATH_v_2,9], [BATH_v_3,0, BATH_v_3,1, BATH_v_3,2, BATH_v_3,3, BATH_v_3,4, BATH_v_3,5, BATH_v_3,6, BATH_v_3,7, BATH_v_3,8, BATH_v_3,9], [BATH_v_4,0, BATH_v_4,1, BATH_v_4,2, BATH_v_4,3, BATH_v_4,4, BATH_v_4,5, BATH_v_4,6, BATH_v_4,7, BATH_v_4,8, BATH_v_4,9], [BATH_v_5,0, BATH_v_5,1, BATH_v_5,2, BATH_v_5,3, BATH_v_5,4, BATH_v_5,5, BATH_v_5,6, BATH_v_5,7, BATH_v_5,8, BATH_v_5,9], [BATH_v_6,0, BATH_v_6,1, BATH_v_6,2, BATH_v_6,3, BATH_v_6,4, BATH_v_6,5, BATH_v_6,6, BATH_v_6,7, BATH_v_6,8, BATH_v_6,9]]]\n",
|
|
"Executed in 0.2938 seconds\n",
|
|
"sat\n",
|
|
"╔═╤═╤═╤═╤═╤═╤═╤═╤═╤═╗\n",
|
|
"║█│A│I│A│E│E│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█│█║\n",
|
|
"╚═╧═╧═╧═╧═╧═╧═╧═╧═╧═╝\n"
|
|
]
|
|
}
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"source": [
|
|
"If you did this correctly, you should see that the words are all in there, but we don't have blank spaces where we should. We need to add two further constraints to improve matters\n",
|
|
"\n",
|
|
"1. Horizontal words must have a blank space or an edge to the left and right of their positions. Vertical words must have a blank space or and edge above or below their positions.\n",
|
|
"2. Any position that is not part of a word should be blank\n",
|
|
"\n"
|
|
],
|
|
"metadata": {
|
|
"id": "SlzqglXAH1wG"
|
|
}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"def add_constraint_set2(s, placement_vars, letter_posns, words, grid_size):\n",
|
|
" # Constraint 1: Horizontal words must either start in the first column or have a 0 to their left\n",
|
|
" # Horizontal words must either finish in the last column of have a 0 to their right\n",
|
|
" # Vertical words must either start in the first row or have a 0 above them\n",
|
|
" # Vertical words must either end in the last row of have a 0 below them\n",
|
|
" for word in words:\n",
|
|
" # Horizontal words -- We'll do this one for you (read this code carefully)\n",
|
|
" for i in range(grid_size):\n",
|
|
" for j in range(1, grid_size - len(word)+1 ):\n",
|
|
" # Check for border or blank square before the word starts\n",
|
|
" s.add(Implies(placement_vars[word][0][i][j], letter_posns[i][j-1][0]))\n",
|
|
" s.add(Implies(placement_vars[word][0][i][j-1], letter_posns[i][j+len(word)-1][0]))\n",
|
|
"\n",
|
|
" # Vertical words\n",
|
|
" for i in range(1,grid_size - len(word)+1 ):\n",
|
|
" for j in range(grid_size):\n",
|
|
" # TODO -- write the equivalent constraint for the vertical words\n",
|
|
" # Replace this line\n",
|
|
" s.add(letter_posns[0][0][0])\n",
|
|
"\n",
|
|
" # Constraint 2: Any position in the crossword grid that is not part of a word must be a blank space\n",
|
|
" # This stops random characters appearing outside the solution\n",
|
|
" for i in range(grid_size):\n",
|
|
" for j in range(grid_size):\n",
|
|
" # Create a list of placement variables that add a letter to the current square\n",
|
|
" relevant_placements = []\n",
|
|
" for word in words:\n",
|
|
" # Horizontal words\n",
|
|
" for col in range(grid_size - len(word) + 1):\n",
|
|
" if j >= col and j < col + len(word):\n",
|
|
" relevant_placements.append(placement_vars[word][0][i][col])\n",
|
|
"\n",
|
|
" # Vertical words\n",
|
|
" for row in range(grid_size - len(word) + 1):\n",
|
|
" if i >= row and i < row + len(word):\n",
|
|
" relevant_placements.append(placement_vars[word][1][row][j])\n",
|
|
"\n",
|
|
"\n",
|
|
" # If none of the relevant placements are true, the square must be blank\n",
|
|
" # TODO implement this constraint\n",
|
|
" # Replace this line\n",
|
|
" s.add(letter_posns[0][0][0])\n",
|
|
"\n",
|
|
" return s"
|
|
],
|
|
"metadata": {
|
|
"id": "7iHXNe_0F7ej"
|
|
},
|
|
"execution_count": 21,
|
|
"outputs": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"# Let's test this routine so far\n",
|
|
"solve_crossword(words, 10, add_constraint_set1, add_constraint_set2)"
|
|
],
|
|
"metadata": {
|
|
"colab": {
|
|
"base_uri": "https://localhost:8080/"
|
|
},
|
|
"id": "lPEcYEIbItHp",
|
|
"outputId": "15cc8da2-8688-4cfc-8cda-32362f603583"
|
|
},
|
|
"execution_count": 22,
|
|
"outputs": [
|
|
{
|
|
"output_type": "stream",
|
|
"name": "stdout",
|
|
"text": [
|
|
"[[[JANE_h_0,0, JANE_h_0,1, JANE_h_0,2, JANE_h_0,3, JANE_h_0,4, JANE_h_0,5, JANE_h_0,6], [JANE_h_1,0, JANE_h_1,1, JANE_h_1,2, JANE_h_1,3, JANE_h_1,4, JANE_h_1,5, JANE_h_1,6], [JANE_h_2,0, JANE_h_2,1, JANE_h_2,2, JANE_h_2,3, JANE_h_2,4, JANE_h_2,5, JANE_h_2,6], [JANE_h_3,0, JANE_h_3,1, JANE_h_3,2, JANE_h_3,3, JANE_h_3,4, JANE_h_3,5, JANE_h_3,6], [JANE_h_4,0, JANE_h_4,1, JANE_h_4,2, JANE_h_4,3, JANE_h_4,4, JANE_h_4,5, JANE_h_4,6], [JANE_h_5,0, JANE_h_5,1, JANE_h_5,2, JANE_h_5,3, JANE_h_5,4, JANE_h_5,5, JANE_h_5,6], [JANE_h_6,0, JANE_h_6,1, JANE_h_6,2, JANE_h_6,3, JANE_h_6,4, JANE_h_6,5, JANE_h_6,6], [JANE_h_7,0, JANE_h_7,1, JANE_h_7,2, JANE_h_7,3, JANE_h_7,4, JANE_h_7,5, JANE_h_7,6], [JANE_h_8,0, JANE_h_8,1, JANE_h_8,2, JANE_h_8,3, JANE_h_8,4, JANE_h_8,5, JANE_h_8,6], [JANE_h_9,0, JANE_h_9,1, JANE_h_9,2, JANE_h_9,3, JANE_h_9,4, JANE_h_9,5, JANE_h_9,6]], [[JANE_v_0,0, JANE_v_0,1, JANE_v_0,2, JANE_v_0,3, JANE_v_0,4, JANE_v_0,5, JANE_v_0,6, JANE_v_0,7, JANE_v_0,8, JANE_v_0,9], [JANE_v_1,0, JANE_v_1,1, JANE_v_1,2, JANE_v_1,3, JANE_v_1,4, JANE_v_1,5, JANE_v_1,6, JANE_v_1,7, JANE_v_1,8, JANE_v_1,9], [JANE_v_2,0, JANE_v_2,1, JANE_v_2,2, JANE_v_2,3, JANE_v_2,4, JANE_v_2,5, JANE_v_2,6, JANE_v_2,7, JANE_v_2,8, JANE_v_2,9], [JANE_v_3,0, JANE_v_3,1, JANE_v_3,2, JANE_v_3,3, JANE_v_3,4, JANE_v_3,5, JANE_v_3,6, JANE_v_3,7, JANE_v_3,8, JANE_v_3,9], [JANE_v_4,0, JANE_v_4,1, JANE_v_4,2, JANE_v_4,3, JANE_v_4,4, JANE_v_4,5, JANE_v_4,6, JANE_v_4,7, JANE_v_4,8, JANE_v_4,9], [JANE_v_5,0, JANE_v_5,1, JANE_v_5,2, JANE_v_5,3, JANE_v_5,4, JANE_v_5,5, JANE_v_5,6, JANE_v_5,7, JANE_v_5,8, JANE_v_5,9], [JANE_v_6,0, JANE_v_6,1, JANE_v_6,2, JANE_v_6,3, JANE_v_6,4, JANE_v_6,5, JANE_v_6,6, JANE_v_6,7, JANE_v_6,8, JANE_v_6,9]]]\n",
|
|
"[[[AUSTEN_h_0,0, AUSTEN_h_0,1, AUSTEN_h_0,2, AUSTEN_h_0,3, AUSTEN_h_0,4], [AUSTEN_h_1,0, AUSTEN_h_1,1, AUSTEN_h_1,2, AUSTEN_h_1,3, AUSTEN_h_1,4], [AUSTEN_h_2,0, AUSTEN_h_2,1, AUSTEN_h_2,2, AUSTEN_h_2,3, AUSTEN_h_2,4], [AUSTEN_h_3,0, AUSTEN_h_3,1, AUSTEN_h_3,2, AUSTEN_h_3,3, AUSTEN_h_3,4], [AUSTEN_h_4,0, AUSTEN_h_4,1, AUSTEN_h_4,2, AUSTEN_h_4,3, AUSTEN_h_4,4], [AUSTEN_h_5,0, AUSTEN_h_5,1, AUSTEN_h_5,2, AUSTEN_h_5,3, AUSTEN_h_5,4], [AUSTEN_h_6,0, AUSTEN_h_6,1, AUSTEN_h_6,2, AUSTEN_h_6,3, AUSTEN_h_6,4], [AUSTEN_h_7,0, AUSTEN_h_7,1, AUSTEN_h_7,2, AUSTEN_h_7,3, AUSTEN_h_7,4], [AUSTEN_h_8,0, AUSTEN_h_8,1, AUSTEN_h_8,2, AUSTEN_h_8,3, AUSTEN_h_8,4], [AUSTEN_h_9,0, AUSTEN_h_9,1, AUSTEN_h_9,2, AUSTEN_h_9,3, AUSTEN_h_9,4]], [[AUSTEN_v_0,0, AUSTEN_v_0,1, AUSTEN_v_0,2, AUSTEN_v_0,3, AUSTEN_v_0,4, AUSTEN_v_0,5, AUSTEN_v_0,6, AUSTEN_v_0,7, AUSTEN_v_0,8, AUSTEN_v_0,9], [AUSTEN_v_1,0, AUSTEN_v_1,1, AUSTEN_v_1,2, AUSTEN_v_1,3, AUSTEN_v_1,4, AUSTEN_v_1,5, AUSTEN_v_1,6, AUSTEN_v_1,7, AUSTEN_v_1,8, AUSTEN_v_1,9], [AUSTEN_v_2,0, AUSTEN_v_2,1, AUSTEN_v_2,2, AUSTEN_v_2,3, AUSTEN_v_2,4, AUSTEN_v_2,5, AUSTEN_v_2,6, AUSTEN_v_2,7, AUSTEN_v_2,8, AUSTEN_v_2,9], [AUSTEN_v_3,0, AUSTEN_v_3,1, AUSTEN_v_3,2, AUSTEN_v_3,3, AUSTEN_v_3,4, AUSTEN_v_3,5, AUSTEN_v_3,6, AUSTEN_v_3,7, AUSTEN_v_3,8, AUSTEN_v_3,9], [AUSTEN_v_4,0, AUSTEN_v_4,1, AUSTEN_v_4,2, AUSTEN_v_4,3, AUSTEN_v_4,4, AUSTEN_v_4,5, AUSTEN_v_4,6, AUSTEN_v_4,7, AUSTEN_v_4,8, AUSTEN_v_4,9]]]\n",
|
|
"[[[PRIDE_h_0,0, PRIDE_h_0,1, PRIDE_h_0,2, PRIDE_h_0,3, PRIDE_h_0,4, PRIDE_h_0,5], [PRIDE_h_1,0, PRIDE_h_1,1, PRIDE_h_1,2, PRIDE_h_1,3, PRIDE_h_1,4, PRIDE_h_1,5], [PRIDE_h_2,0, PRIDE_h_2,1, PRIDE_h_2,2, PRIDE_h_2,3, PRIDE_h_2,4, PRIDE_h_2,5], [PRIDE_h_3,0, PRIDE_h_3,1, PRIDE_h_3,2, PRIDE_h_3,3, PRIDE_h_3,4, PRIDE_h_3,5], [PRIDE_h_4,0, PRIDE_h_4,1, PRIDE_h_4,2, PRIDE_h_4,3, PRIDE_h_4,4, PRIDE_h_4,5], [PRIDE_h_5,0, PRIDE_h_5,1, PRIDE_h_5,2, PRIDE_h_5,3, PRIDE_h_5,4, PRIDE_h_5,5], [PRIDE_h_6,0, PRIDE_h_6,1, PRIDE_h_6,2, PRIDE_h_6,3, PRIDE_h_6,4, PRIDE_h_6,5], [PRIDE_h_7,0, PRIDE_h_7,1, PRIDE_h_7,2, PRIDE_h_7,3, PRIDE_h_7,4, PRIDE_h_7,5], [PRIDE_h_8,0, PRIDE_h_8,1, PRIDE_h_8,2, PRIDE_h_8,3, PRIDE_h_8,4, PRIDE_h_8,5], [PRIDE_h_9,0, PRIDE_h_9,1, PRIDE_h_9,2, PRIDE_h_9,3, PRIDE_h_9,4, PRIDE_h_9,5]], [[PRIDE_v_0,0, PRIDE_v_0,1, PRIDE_v_0,2, PRIDE_v_0,3, PRIDE_v_0,4, PRIDE_v_0,5, PRIDE_v_0,6, PRIDE_v_0,7, PRIDE_v_0,8, PRIDE_v_0,9], [PRIDE_v_1,0, PRIDE_v_1,1, PRIDE_v_1,2, PRIDE_v_1,3, PRIDE_v_1,4, PRIDE_v_1,5, PRIDE_v_1,6, PRIDE_v_1,7, PRIDE_v_1,8, PRIDE_v_1,9], [PRIDE_v_2,0, PRIDE_v_2,1, PRIDE_v_2,2, PRIDE_v_2,3, PRIDE_v_2,4, PRIDE_v_2,5, PRIDE_v_2,6, PRIDE_v_2,7, PRIDE_v_2,8, PRIDE_v_2,9], [PRIDE_v_3,0, PRIDE_v_3,1, PRIDE_v_3,2, PRIDE_v_3,3, PRIDE_v_3,4, PRIDE_v_3,5, PRIDE_v_3,6, PRIDE_v_3,7, PRIDE_v_3,8, PRIDE_v_3,9], [PRIDE_v_4,0, PRIDE_v_4,1, PRIDE_v_4,2, PRIDE_v_4,3, PRIDE_v_4,4, PRIDE_v_4,5, PRIDE_v_4,6, PRIDE_v_4,7, PRIDE_v_4,8, PRIDE_v_4,9], [PRIDE_v_5,0, PRIDE_v_5,1, PRIDE_v_5,2, PRIDE_v_5,3, PRIDE_v_5,4, PRIDE_v_5,5, PRIDE_v_5,6, PRIDE_v_5,7, PRIDE_v_5,8, PRIDE_v_5,9]]]\n",
|
|
"[[[NOVEL_h_0,0, NOVEL_h_0,1, NOVEL_h_0,2, NOVEL_h_0,3, NOVEL_h_0,4, NOVEL_h_0,5], [NOVEL_h_1,0, NOVEL_h_1,1, NOVEL_h_1,2, NOVEL_h_1,3, NOVEL_h_1,4, NOVEL_h_1,5], [NOVEL_h_2,0, NOVEL_h_2,1, NOVEL_h_2,2, NOVEL_h_2,3, NOVEL_h_2,4, NOVEL_h_2,5], [NOVEL_h_3,0, NOVEL_h_3,1, NOVEL_h_3,2, NOVEL_h_3,3, NOVEL_h_3,4, NOVEL_h_3,5], [NOVEL_h_4,0, NOVEL_h_4,1, NOVEL_h_4,2, NOVEL_h_4,3, NOVEL_h_4,4, NOVEL_h_4,5], [NOVEL_h_5,0, NOVEL_h_5,1, NOVEL_h_5,2, NOVEL_h_5,3, NOVEL_h_5,4, NOVEL_h_5,5], [NOVEL_h_6,0, NOVEL_h_6,1, NOVEL_h_6,2, NOVEL_h_6,3, NOVEL_h_6,4, NOVEL_h_6,5], [NOVEL_h_7,0, NOVEL_h_7,1, NOVEL_h_7,2, NOVEL_h_7,3, NOVEL_h_7,4, NOVEL_h_7,5], [NOVEL_h_8,0, NOVEL_h_8,1, NOVEL_h_8,2, NOVEL_h_8,3, NOVEL_h_8,4, NOVEL_h_8,5], [NOVEL_h_9,0, NOVEL_h_9,1, NOVEL_h_9,2, NOVEL_h_9,3, NOVEL_h_9,4, NOVEL_h_9,5]], [[NOVEL_v_0,0, NOVEL_v_0,1, NOVEL_v_0,2, NOVEL_v_0,3, NOVEL_v_0,4, NOVEL_v_0,5, NOVEL_v_0,6, NOVEL_v_0,7, NOVEL_v_0,8, NOVEL_v_0,9], [NOVEL_v_1,0, NOVEL_v_1,1, NOVEL_v_1,2, NOVEL_v_1,3, NOVEL_v_1,4, NOVEL_v_1,5, NOVEL_v_1,6, NOVEL_v_1,7, NOVEL_v_1,8, NOVEL_v_1,9], [NOVEL_v_2,0, NOVEL_v_2,1, NOVEL_v_2,2, NOVEL_v_2,3, NOVEL_v_2,4, NOVEL_v_2,5, NOVEL_v_2,6, NOVEL_v_2,7, NOVEL_v_2,8, NOVEL_v_2,9], [NOVEL_v_3,0, NOVEL_v_3,1, NOVEL_v_3,2, NOVEL_v_3,3, NOVEL_v_3,4, NOVEL_v_3,5, NOVEL_v_3,6, NOVEL_v_3,7, NOVEL_v_3,8, NOVEL_v_3,9], [NOVEL_v_4,0, NOVEL_v_4,1, NOVEL_v_4,2, NOVEL_v_4,3, NOVEL_v_4,4, NOVEL_v_4,5, NOVEL_v_4,6, NOVEL_v_4,7, NOVEL_v_4,8, NOVEL_v_4,9], [NOVEL_v_5,0, NOVEL_v_5,1, NOVEL_v_5,2, NOVEL_v_5,3, NOVEL_v_5,4, NOVEL_v_5,5, NOVEL_v_5,6, NOVEL_v_5,7, NOVEL_v_5,8, NOVEL_v_5,9]]]\n",
|
|
"[[[DARCY_h_0,0, DARCY_h_0,1, DARCY_h_0,2, DARCY_h_0,3, DARCY_h_0,4, DARCY_h_0,5], [DARCY_h_1,0, DARCY_h_1,1, DARCY_h_1,2, DARCY_h_1,3, DARCY_h_1,4, DARCY_h_1,5], [DARCY_h_2,0, DARCY_h_2,1, DARCY_h_2,2, DARCY_h_2,3, DARCY_h_2,4, DARCY_h_2,5], [DARCY_h_3,0, DARCY_h_3,1, DARCY_h_3,2, DARCY_h_3,3, DARCY_h_3,4, DARCY_h_3,5], [DARCY_h_4,0, DARCY_h_4,1, DARCY_h_4,2, DARCY_h_4,3, DARCY_h_4,4, DARCY_h_4,5], [DARCY_h_5,0, DARCY_h_5,1, DARCY_h_5,2, DARCY_h_5,3, DARCY_h_5,4, DARCY_h_5,5], [DARCY_h_6,0, DARCY_h_6,1, DARCY_h_6,2, DARCY_h_6,3, DARCY_h_6,4, DARCY_h_6,5], [DARCY_h_7,0, DARCY_h_7,1, DARCY_h_7,2, DARCY_h_7,3, DARCY_h_7,4, DARCY_h_7,5], [DARCY_h_8,0, DARCY_h_8,1, DARCY_h_8,2, DARCY_h_8,3, DARCY_h_8,4, DARCY_h_8,5], [DARCY_h_9,0, DARCY_h_9,1, DARCY_h_9,2, DARCY_h_9,3, DARCY_h_9,4, DARCY_h_9,5]], [[DARCY_v_0,0, DARCY_v_0,1, DARCY_v_0,2, DARCY_v_0,3, DARCY_v_0,4, DARCY_v_0,5, DARCY_v_0,6, DARCY_v_0,7, DARCY_v_0,8, DARCY_v_0,9], [DARCY_v_1,0, DARCY_v_1,1, DARCY_v_1,2, DARCY_v_1,3, DARCY_v_1,4, DARCY_v_1,5, DARCY_v_1,6, DARCY_v_1,7, DARCY_v_1,8, DARCY_v_1,9], [DARCY_v_2,0, DARCY_v_2,1, DARCY_v_2,2, DARCY_v_2,3, DARCY_v_2,4, DARCY_v_2,5, DARCY_v_2,6, DARCY_v_2,7, DARCY_v_2,8, DARCY_v_2,9], [DARCY_v_3,0, DARCY_v_3,1, DARCY_v_3,2, DARCY_v_3,3, DARCY_v_3,4, DARCY_v_3,5, DARCY_v_3,6, DARCY_v_3,7, DARCY_v_3,8, DARCY_v_3,9], [DARCY_v_4,0, DARCY_v_4,1, DARCY_v_4,2, DARCY_v_4,3, DARCY_v_4,4, DARCY_v_4,5, DARCY_v_4,6, DARCY_v_4,7, DARCY_v_4,8, DARCY_v_4,9], [DARCY_v_5,0, DARCY_v_5,1, DARCY_v_5,2, DARCY_v_5,3, DARCY_v_5,4, DARCY_v_5,5, DARCY_v_5,6, DARCY_v_5,7, DARCY_v_5,8, DARCY_v_5,9]]]\n",
|
|
"[[[SENSE_h_0,0, SENSE_h_0,1, SENSE_h_0,2, SENSE_h_0,3, SENSE_h_0,4, SENSE_h_0,5], [SENSE_h_1,0, SENSE_h_1,1, SENSE_h_1,2, SENSE_h_1,3, SENSE_h_1,4, SENSE_h_1,5], [SENSE_h_2,0, SENSE_h_2,1, SENSE_h_2,2, SENSE_h_2,3, SENSE_h_2,4, SENSE_h_2,5], [SENSE_h_3,0, SENSE_h_3,1, SENSE_h_3,2, SENSE_h_3,3, SENSE_h_3,4, SENSE_h_3,5], [SENSE_h_4,0, SENSE_h_4,1, SENSE_h_4,2, SENSE_h_4,3, SENSE_h_4,4, SENSE_h_4,5], [SENSE_h_5,0, SENSE_h_5,1, SENSE_h_5,2, SENSE_h_5,3, SENSE_h_5,4, SENSE_h_5,5], [SENSE_h_6,0, SENSE_h_6,1, SENSE_h_6,2, SENSE_h_6,3, SENSE_h_6,4, SENSE_h_6,5], [SENSE_h_7,0, SENSE_h_7,1, SENSE_h_7,2, SENSE_h_7,3, SENSE_h_7,4, SENSE_h_7,5], [SENSE_h_8,0, SENSE_h_8,1, SENSE_h_8,2, SENSE_h_8,3, SENSE_h_8,4, SENSE_h_8,5], [SENSE_h_9,0, SENSE_h_9,1, SENSE_h_9,2, SENSE_h_9,3, SENSE_h_9,4, SENSE_h_9,5]], [[SENSE_v_0,0, SENSE_v_0,1, SENSE_v_0,2, SENSE_v_0,3, SENSE_v_0,4, SENSE_v_0,5, SENSE_v_0,6, SENSE_v_0,7, SENSE_v_0,8, SENSE_v_0,9], [SENSE_v_1,0, SENSE_v_1,1, SENSE_v_1,2, SENSE_v_1,3, SENSE_v_1,4, SENSE_v_1,5, SENSE_v_1,6, SENSE_v_1,7, SENSE_v_1,8, SENSE_v_1,9], [SENSE_v_2,0, SENSE_v_2,1, SENSE_v_2,2, SENSE_v_2,3, SENSE_v_2,4, SENSE_v_2,5, SENSE_v_2,6, SENSE_v_2,7, SENSE_v_2,8, SENSE_v_2,9], [SENSE_v_3,0, SENSE_v_3,1, SENSE_v_3,2, SENSE_v_3,3, SENSE_v_3,4, SENSE_v_3,5, SENSE_v_3,6, SENSE_v_3,7, SENSE_v_3,8, SENSE_v_3,9], [SENSE_v_4,0, SENSE_v_4,1, SENSE_v_4,2, SENSE_v_4,3, SENSE_v_4,4, SENSE_v_4,5, SENSE_v_4,6, SENSE_v_4,7, SENSE_v_4,8, SENSE_v_4,9], [SENSE_v_5,0, SENSE_v_5,1, SENSE_v_5,2, SENSE_v_5,3, SENSE_v_5,4, SENSE_v_5,5, SENSE_v_5,6, SENSE_v_5,7, SENSE_v_5,8, SENSE_v_5,9]]]\n",
|
|
"[[[EMMA_h_0,0, EMMA_h_0,1, EMMA_h_0,2, EMMA_h_0,3, EMMA_h_0,4, EMMA_h_0,5, EMMA_h_0,6], [EMMA_h_1,0, EMMA_h_1,1, EMMA_h_1,2, EMMA_h_1,3, EMMA_h_1,4, EMMA_h_1,5, EMMA_h_1,6], [EMMA_h_2,0, EMMA_h_2,1, EMMA_h_2,2, EMMA_h_2,3, EMMA_h_2,4, EMMA_h_2,5, EMMA_h_2,6], [EMMA_h_3,0, EMMA_h_3,1, EMMA_h_3,2, EMMA_h_3,3, EMMA_h_3,4, EMMA_h_3,5, EMMA_h_3,6], [EMMA_h_4,0, EMMA_h_4,1, EMMA_h_4,2, EMMA_h_4,3, EMMA_h_4,4, EMMA_h_4,5, EMMA_h_4,6], [EMMA_h_5,0, EMMA_h_5,1, EMMA_h_5,2, EMMA_h_5,3, EMMA_h_5,4, EMMA_h_5,5, EMMA_h_5,6], [EMMA_h_6,0, EMMA_h_6,1, EMMA_h_6,2, EMMA_h_6,3, EMMA_h_6,4, EMMA_h_6,5, EMMA_h_6,6], [EMMA_h_7,0, EMMA_h_7,1, EMMA_h_7,2, EMMA_h_7,3, EMMA_h_7,4, EMMA_h_7,5, EMMA_h_7,6], [EMMA_h_8,0, EMMA_h_8,1, EMMA_h_8,2, EMMA_h_8,3, EMMA_h_8,4, EMMA_h_8,5, EMMA_h_8,6], [EMMA_h_9,0, EMMA_h_9,1, EMMA_h_9,2, EMMA_h_9,3, EMMA_h_9,4, EMMA_h_9,5, EMMA_h_9,6]], [[EMMA_v_0,0, EMMA_v_0,1, EMMA_v_0,2, EMMA_v_0,3, EMMA_v_0,4, EMMA_v_0,5, EMMA_v_0,6, EMMA_v_0,7, EMMA_v_0,8, EMMA_v_0,9], [EMMA_v_1,0, EMMA_v_1,1, EMMA_v_1,2, EMMA_v_1,3, EMMA_v_1,4, EMMA_v_1,5, EMMA_v_1,6, EMMA_v_1,7, EMMA_v_1,8, EMMA_v_1,9], [EMMA_v_2,0, EMMA_v_2,1, EMMA_v_2,2, EMMA_v_2,3, EMMA_v_2,4, EMMA_v_2,5, EMMA_v_2,6, EMMA_v_2,7, EMMA_v_2,8, EMMA_v_2,9], [EMMA_v_3,0, EMMA_v_3,1, EMMA_v_3,2, EMMA_v_3,3, EMMA_v_3,4, EMMA_v_3,5, EMMA_v_3,6, EMMA_v_3,7, EMMA_v_3,8, EMMA_v_3,9], [EMMA_v_4,0, EMMA_v_4,1, EMMA_v_4,2, EMMA_v_4,3, EMMA_v_4,4, EMMA_v_4,5, EMMA_v_4,6, EMMA_v_4,7, EMMA_v_4,8, EMMA_v_4,9], [EMMA_v_5,0, EMMA_v_5,1, EMMA_v_5,2, EMMA_v_5,3, EMMA_v_5,4, EMMA_v_5,5, EMMA_v_5,6, EMMA_v_5,7, EMMA_v_5,8, EMMA_v_5,9], [EMMA_v_6,0, EMMA_v_6,1, EMMA_v_6,2, EMMA_v_6,3, EMMA_v_6,4, EMMA_v_6,5, EMMA_v_6,6, EMMA_v_6,7, EMMA_v_6,8, EMMA_v_6,9]]]\n",
|
|
"[[[ESTATE_h_0,0, ESTATE_h_0,1, ESTATE_h_0,2, ESTATE_h_0,3, ESTATE_h_0,4], [ESTATE_h_1,0, ESTATE_h_1,1, ESTATE_h_1,2, ESTATE_h_1,3, ESTATE_h_1,4], [ESTATE_h_2,0, ESTATE_h_2,1, ESTATE_h_2,2, ESTATE_h_2,3, ESTATE_h_2,4], [ESTATE_h_3,0, ESTATE_h_3,1, ESTATE_h_3,2, ESTATE_h_3,3, ESTATE_h_3,4], [ESTATE_h_4,0, ESTATE_h_4,1, ESTATE_h_4,2, ESTATE_h_4,3, ESTATE_h_4,4], [ESTATE_h_5,0, ESTATE_h_5,1, ESTATE_h_5,2, ESTATE_h_5,3, ESTATE_h_5,4], [ESTATE_h_6,0, ESTATE_h_6,1, ESTATE_h_6,2, ESTATE_h_6,3, ESTATE_h_6,4], [ESTATE_h_7,0, ESTATE_h_7,1, ESTATE_h_7,2, ESTATE_h_7,3, ESTATE_h_7,4], [ESTATE_h_8,0, ESTATE_h_8,1, ESTATE_h_8,2, ESTATE_h_8,3, ESTATE_h_8,4], [ESTATE_h_9,0, ESTATE_h_9,1, ESTATE_h_9,2, ESTATE_h_9,3, ESTATE_h_9,4]], [[ESTATE_v_0,0, ESTATE_v_0,1, ESTATE_v_0,2, ESTATE_v_0,3, ESTATE_v_0,4, ESTATE_v_0,5, ESTATE_v_0,6, ESTATE_v_0,7, ESTATE_v_0,8, ESTATE_v_0,9], [ESTATE_v_1,0, ESTATE_v_1,1, ESTATE_v_1,2, ESTATE_v_1,3, ESTATE_v_1,4, ESTATE_v_1,5, ESTATE_v_1,6, ESTATE_v_1,7, ESTATE_v_1,8, ESTATE_v_1,9], [ESTATE_v_2,0, ESTATE_v_2,1, ESTATE_v_2,2, ESTATE_v_2,3, ESTATE_v_2,4, ESTATE_v_2,5, ESTATE_v_2,6, ESTATE_v_2,7, ESTATE_v_2,8, ESTATE_v_2,9], [ESTATE_v_3,0, ESTATE_v_3,1, ESTATE_v_3,2, ESTATE_v_3,3, ESTATE_v_3,4, ESTATE_v_3,5, ESTATE_v_3,6, ESTATE_v_3,7, ESTATE_v_3,8, ESTATE_v_3,9], [ESTATE_v_4,0, ESTATE_v_4,1, ESTATE_v_4,2, ESTATE_v_4,3, ESTATE_v_4,4, ESTATE_v_4,5, ESTATE_v_4,6, ESTATE_v_4,7, ESTATE_v_4,8, ESTATE_v_4,9]]]\n",
|
|
"[[[BENNET_h_0,0, BENNET_h_0,1, BENNET_h_0,2, BENNET_h_0,3, BENNET_h_0,4], [BENNET_h_1,0, BENNET_h_1,1, BENNET_h_1,2, BENNET_h_1,3, BENNET_h_1,4], [BENNET_h_2,0, BENNET_h_2,1, BENNET_h_2,2, BENNET_h_2,3, BENNET_h_2,4], [BENNET_h_3,0, BENNET_h_3,1, BENNET_h_3,2, BENNET_h_3,3, BENNET_h_3,4], [BENNET_h_4,0, BENNET_h_4,1, BENNET_h_4,2, BENNET_h_4,3, BENNET_h_4,4], [BENNET_h_5,0, BENNET_h_5,1, BENNET_h_5,2, BENNET_h_5,3, BENNET_h_5,4], [BENNET_h_6,0, BENNET_h_6,1, BENNET_h_6,2, BENNET_h_6,3, BENNET_h_6,4], [BENNET_h_7,0, BENNET_h_7,1, BENNET_h_7,2, BENNET_h_7,3, BENNET_h_7,4], [BENNET_h_8,0, BENNET_h_8,1, BENNET_h_8,2, BENNET_h_8,3, BENNET_h_8,4], [BENNET_h_9,0, BENNET_h_9,1, BENNET_h_9,2, BENNET_h_9,3, BENNET_h_9,4]], [[BENNET_v_0,0, BENNET_v_0,1, BENNET_v_0,2, BENNET_v_0,3, BENNET_v_0,4, BENNET_v_0,5, BENNET_v_0,6, BENNET_v_0,7, BENNET_v_0,8, BENNET_v_0,9], [BENNET_v_1,0, BENNET_v_1,1, BENNET_v_1,2, BENNET_v_1,3, BENNET_v_1,4, BENNET_v_1,5, BENNET_v_1,6, BENNET_v_1,7, BENNET_v_1,8, BENNET_v_1,9], [BENNET_v_2,0, BENNET_v_2,1, BENNET_v_2,2, BENNET_v_2,3, BENNET_v_2,4, BENNET_v_2,5, BENNET_v_2,6, BENNET_v_2,7, BENNET_v_2,8, BENNET_v_2,9], [BENNET_v_3,0, BENNET_v_3,1, BENNET_v_3,2, BENNET_v_3,3, BENNET_v_3,4, BENNET_v_3,5, BENNET_v_3,6, BENNET_v_3,7, BENNET_v_3,8, BENNET_v_3,9], [BENNET_v_4,0, BENNET_v_4,1, BENNET_v_4,2, BENNET_v_4,3, BENNET_v_4,4, BENNET_v_4,5, BENNET_v_4,6, BENNET_v_4,7, BENNET_v_4,8, BENNET_v_4,9]]]\n",
|
|
"[[[BATH_h_0,0, BATH_h_0,1, BATH_h_0,2, BATH_h_0,3, BATH_h_0,4, BATH_h_0,5, BATH_h_0,6], [BATH_h_1,0, BATH_h_1,1, BATH_h_1,2, BATH_h_1,3, BATH_h_1,4, BATH_h_1,5, BATH_h_1,6], [BATH_h_2,0, BATH_h_2,1, BATH_h_2,2, BATH_h_2,3, BATH_h_2,4, BATH_h_2,5, BATH_h_2,6], [BATH_h_3,0, BATH_h_3,1, BATH_h_3,2, BATH_h_3,3, BATH_h_3,4, BATH_h_3,5, BATH_h_3,6], [BATH_h_4,0, BATH_h_4,1, BATH_h_4,2, BATH_h_4,3, BATH_h_4,4, BATH_h_4,5, BATH_h_4,6], [BATH_h_5,0, BATH_h_5,1, BATH_h_5,2, BATH_h_5,3, BATH_h_5,4, BATH_h_5,5, BATH_h_5,6], [BATH_h_6,0, BATH_h_6,1, BATH_h_6,2, BATH_h_6,3, BATH_h_6,4, BATH_h_6,5, BATH_h_6,6], [BATH_h_7,0, BATH_h_7,1, BATH_h_7,2, BATH_h_7,3, BATH_h_7,4, BATH_h_7,5, BATH_h_7,6], [BATH_h_8,0, BATH_h_8,1, BATH_h_8,2, BATH_h_8,3, BATH_h_8,4, BATH_h_8,5, BATH_h_8,6], [BATH_h_9,0, BATH_h_9,1, BATH_h_9,2, BATH_h_9,3, BATH_h_9,4, BATH_h_9,5, BATH_h_9,6]], [[BATH_v_0,0, BATH_v_0,1, BATH_v_0,2, BATH_v_0,3, BATH_v_0,4, BATH_v_0,5, BATH_v_0,6, BATH_v_0,7, BATH_v_0,8, BATH_v_0,9], [BATH_v_1,0, BATH_v_1,1, BATH_v_1,2, BATH_v_1,3, BATH_v_1,4, BATH_v_1,5, BATH_v_1,6, BATH_v_1,7, BATH_v_1,8, BATH_v_1,9], [BATH_v_2,0, BATH_v_2,1, BATH_v_2,2, BATH_v_2,3, BATH_v_2,4, BATH_v_2,5, BATH_v_2,6, BATH_v_2,7, BATH_v_2,8, BATH_v_2,9], [BATH_v_3,0, BATH_v_3,1, BATH_v_3,2, BATH_v_3,3, BATH_v_3,4, BATH_v_3,5, BATH_v_3,6, BATH_v_3,7, BATH_v_3,8, BATH_v_3,9], [BATH_v_4,0, BATH_v_4,1, BATH_v_4,2, BATH_v_4,3, BATH_v_4,4, BATH_v_4,5, BATH_v_4,6, BATH_v_4,7, BATH_v_4,8, BATH_v_4,9], [BATH_v_5,0, BATH_v_5,1, BATH_v_5,2, BATH_v_5,3, BATH_v_5,4, BATH_v_5,5, BATH_v_5,6, BATH_v_5,7, BATH_v_5,8, BATH_v_5,9], [BATH_v_6,0, BATH_v_6,1, BATH_v_6,2, BATH_v_6,3, BATH_v_6,4, BATH_v_6,5, BATH_v_6,6, BATH_v_6,7, BATH_v_6,8, BATH_v_6,9]]]\n",
|
|
"Executed in 0.3757 seconds\n",
|
|
"sat\n",
|
|
"╔═╤═╤═╤═╤═╤═╤═╤═╤═╤═╗\n",
|
|
"║█│A│I│A│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█│█║\n",
|
|
"╚═╧═╧═╧═╧═╧═╧═╧═╧═╧═╝\n"
|
|
]
|
|
}
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"source": [
|
|
"If you did this correctly, it should be an improvement, but it's not perfect; every letter is now part of either a horizontal or a vertical word. However, when there are several vertical words adjacent to each other and we read horizontally across these words, we get nonsense. Similarly, when there are several horizontal words adjacent to each other an we read vertically through these words, we get nonsense. We can fix this by adding another constraint:\n",
|
|
"\n",
|
|
"* If a letter is in a horizontal word, it is either inside a vertical word as well *OR* it has a blank square (or the edge of the grid) above and below it.\n",
|
|
"* If a letter is in a vertical word, it is either inside a horizontal word as well *OR* it has a blank square (or the edge of the grid) to the left and the right of it.\n",
|
|
"\n",
|
|
"This one is pretty tricky to get right, so just read the code and try to understand how it works."
|
|
],
|
|
"metadata": {
|
|
"id": "2X4guZwZI_JW"
|
|
}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"def add_constraint_set3(s, placement_vars, letter_posns, words, grid_size):\n",
|
|
" # Constraint 1: If a letter is in a horizontal word, it either\n",
|
|
" # -- is inside a vertical word as well\n",
|
|
" # -- has a blank (or edge) above and below it\n",
|
|
" # If a letter in a vertical word exists, it is either\n",
|
|
" # -- is inside a horizontal word too\n",
|
|
" # -- has a blank (or edge) to the left and to the right of it.\n",
|
|
" for i in range(0,grid_size):\n",
|
|
" for j in range(0,grid_size):\n",
|
|
" relevant_placements_horz = []\n",
|
|
" relevant_placements_vert = []\n",
|
|
" for word in words:\n",
|
|
" for j2 in range (max(0,j-len(word)+1), min(j+1,grid_size-len(word)+1)):\n",
|
|
" relevant_placements_horz.append(placement_vars[word][0][i][j2])\n",
|
|
" for i2 in range(max(0,i-len(word)+1), min(i+1,grid_size-len(word)+1)):\n",
|
|
" relevant_placements_vert.append(placement_vars[word][1][i2][j])\n",
|
|
" in_horizontal_word = Or(relevant_placements_horz)\n",
|
|
" in_vertical_word = Or(relevant_placements_vert)\n",
|
|
"\n",
|
|
" if(i == 0):\n",
|
|
" above_and_below_are_blank = letter_posns[i+1][j][0]\n",
|
|
" else:\n",
|
|
" if(i == grid_size-1):\n",
|
|
" above_and_below_are_blank = letter_posns[i-1][j][0]\n",
|
|
" else:\n",
|
|
" above_and_below_are_blank = And(letter_posns[i-1][j][0],letter_posns[i+1][j][0])\n",
|
|
"\n",
|
|
" if(j == 0):\n",
|
|
" left_and_right_are_blank = letter_posns[i][j+1][0]\n",
|
|
" else:\n",
|
|
" if(j == grid_size-1):\n",
|
|
" left_and_right_are_blank = letter_posns[i][j-1][0]\n",
|
|
" else:\n",
|
|
" left_and_right_are_blank = And(letter_posns[i][j-1][0],letter_posns[i][j+1][0])\n",
|
|
" s.add(Implies(in_horizontal_word, Or(in_vertical_word, above_and_below_are_blank)))\n",
|
|
" s.add(Implies(in_vertical_word, Or(in_horizontal_word, left_and_right_are_blank)))\n",
|
|
"\n",
|
|
" return s"
|
|
],
|
|
"metadata": {
|
|
"id": "4LSgimAjGQdT"
|
|
},
|
|
"execution_count": 23,
|
|
"outputs": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"# Let's see how this improves things\n",
|
|
"solve_crossword(words, 10, add_constraint_set1, add_constraint_set2, add_constraint_set3)"
|
|
],
|
|
"metadata": {
|
|
"colab": {
|
|
"base_uri": "https://localhost:8080/"
|
|
},
|
|
"id": "8HHqCWMzKCTL",
|
|
"outputId": "401fbfd2-194b-4258-a890-7d99fc601937"
|
|
},
|
|
"execution_count": 24,
|
|
"outputs": [
|
|
{
|
|
"output_type": "stream",
|
|
"name": "stdout",
|
|
"text": [
|
|
"[[[JANE_h_0,0, JANE_h_0,1, JANE_h_0,2, JANE_h_0,3, JANE_h_0,4, JANE_h_0,5, JANE_h_0,6], [JANE_h_1,0, JANE_h_1,1, JANE_h_1,2, JANE_h_1,3, JANE_h_1,4, JANE_h_1,5, JANE_h_1,6], [JANE_h_2,0, JANE_h_2,1, JANE_h_2,2, JANE_h_2,3, JANE_h_2,4, JANE_h_2,5, JANE_h_2,6], [JANE_h_3,0, JANE_h_3,1, JANE_h_3,2, JANE_h_3,3, JANE_h_3,4, JANE_h_3,5, JANE_h_3,6], [JANE_h_4,0, JANE_h_4,1, JANE_h_4,2, JANE_h_4,3, JANE_h_4,4, JANE_h_4,5, JANE_h_4,6], [JANE_h_5,0, JANE_h_5,1, JANE_h_5,2, JANE_h_5,3, JANE_h_5,4, JANE_h_5,5, JANE_h_5,6], [JANE_h_6,0, JANE_h_6,1, JANE_h_6,2, JANE_h_6,3, JANE_h_6,4, JANE_h_6,5, JANE_h_6,6], [JANE_h_7,0, JANE_h_7,1, JANE_h_7,2, JANE_h_7,3, JANE_h_7,4, JANE_h_7,5, JANE_h_7,6], [JANE_h_8,0, JANE_h_8,1, JANE_h_8,2, JANE_h_8,3, JANE_h_8,4, JANE_h_8,5, JANE_h_8,6], [JANE_h_9,0, JANE_h_9,1, JANE_h_9,2, JANE_h_9,3, JANE_h_9,4, JANE_h_9,5, JANE_h_9,6]], [[JANE_v_0,0, JANE_v_0,1, JANE_v_0,2, JANE_v_0,3, JANE_v_0,4, JANE_v_0,5, JANE_v_0,6, JANE_v_0,7, JANE_v_0,8, JANE_v_0,9], [JANE_v_1,0, JANE_v_1,1, JANE_v_1,2, JANE_v_1,3, JANE_v_1,4, JANE_v_1,5, JANE_v_1,6, JANE_v_1,7, JANE_v_1,8, JANE_v_1,9], [JANE_v_2,0, JANE_v_2,1, JANE_v_2,2, JANE_v_2,3, JANE_v_2,4, JANE_v_2,5, JANE_v_2,6, JANE_v_2,7, JANE_v_2,8, JANE_v_2,9], [JANE_v_3,0, JANE_v_3,1, JANE_v_3,2, JANE_v_3,3, JANE_v_3,4, JANE_v_3,5, JANE_v_3,6, JANE_v_3,7, JANE_v_3,8, JANE_v_3,9], [JANE_v_4,0, JANE_v_4,1, JANE_v_4,2, JANE_v_4,3, JANE_v_4,4, JANE_v_4,5, JANE_v_4,6, JANE_v_4,7, JANE_v_4,8, JANE_v_4,9], [JANE_v_5,0, JANE_v_5,1, JANE_v_5,2, JANE_v_5,3, JANE_v_5,4, JANE_v_5,5, JANE_v_5,6, JANE_v_5,7, JANE_v_5,8, JANE_v_5,9], [JANE_v_6,0, JANE_v_6,1, JANE_v_6,2, JANE_v_6,3, JANE_v_6,4, JANE_v_6,5, JANE_v_6,6, JANE_v_6,7, JANE_v_6,8, JANE_v_6,9]]]\n",
|
|
"[[[AUSTEN_h_0,0, AUSTEN_h_0,1, AUSTEN_h_0,2, AUSTEN_h_0,3, AUSTEN_h_0,4], [AUSTEN_h_1,0, AUSTEN_h_1,1, AUSTEN_h_1,2, AUSTEN_h_1,3, AUSTEN_h_1,4], [AUSTEN_h_2,0, AUSTEN_h_2,1, AUSTEN_h_2,2, AUSTEN_h_2,3, AUSTEN_h_2,4], [AUSTEN_h_3,0, AUSTEN_h_3,1, AUSTEN_h_3,2, AUSTEN_h_3,3, AUSTEN_h_3,4], [AUSTEN_h_4,0, AUSTEN_h_4,1, AUSTEN_h_4,2, AUSTEN_h_4,3, AUSTEN_h_4,4], [AUSTEN_h_5,0, AUSTEN_h_5,1, AUSTEN_h_5,2, AUSTEN_h_5,3, AUSTEN_h_5,4], [AUSTEN_h_6,0, AUSTEN_h_6,1, AUSTEN_h_6,2, AUSTEN_h_6,3, AUSTEN_h_6,4], [AUSTEN_h_7,0, AUSTEN_h_7,1, AUSTEN_h_7,2, AUSTEN_h_7,3, AUSTEN_h_7,4], [AUSTEN_h_8,0, AUSTEN_h_8,1, AUSTEN_h_8,2, AUSTEN_h_8,3, AUSTEN_h_8,4], [AUSTEN_h_9,0, AUSTEN_h_9,1, AUSTEN_h_9,2, AUSTEN_h_9,3, AUSTEN_h_9,4]], [[AUSTEN_v_0,0, AUSTEN_v_0,1, AUSTEN_v_0,2, AUSTEN_v_0,3, AUSTEN_v_0,4, AUSTEN_v_0,5, AUSTEN_v_0,6, AUSTEN_v_0,7, AUSTEN_v_0,8, AUSTEN_v_0,9], [AUSTEN_v_1,0, AUSTEN_v_1,1, AUSTEN_v_1,2, AUSTEN_v_1,3, AUSTEN_v_1,4, AUSTEN_v_1,5, AUSTEN_v_1,6, AUSTEN_v_1,7, AUSTEN_v_1,8, AUSTEN_v_1,9], [AUSTEN_v_2,0, AUSTEN_v_2,1, AUSTEN_v_2,2, AUSTEN_v_2,3, AUSTEN_v_2,4, AUSTEN_v_2,5, AUSTEN_v_2,6, AUSTEN_v_2,7, AUSTEN_v_2,8, AUSTEN_v_2,9], [AUSTEN_v_3,0, AUSTEN_v_3,1, AUSTEN_v_3,2, AUSTEN_v_3,3, AUSTEN_v_3,4, AUSTEN_v_3,5, AUSTEN_v_3,6, AUSTEN_v_3,7, AUSTEN_v_3,8, AUSTEN_v_3,9], [AUSTEN_v_4,0, AUSTEN_v_4,1, AUSTEN_v_4,2, AUSTEN_v_4,3, AUSTEN_v_4,4, AUSTEN_v_4,5, AUSTEN_v_4,6, AUSTEN_v_4,7, AUSTEN_v_4,8, AUSTEN_v_4,9]]]\n",
|
|
"[[[PRIDE_h_0,0, PRIDE_h_0,1, PRIDE_h_0,2, PRIDE_h_0,3, PRIDE_h_0,4, PRIDE_h_0,5], [PRIDE_h_1,0, PRIDE_h_1,1, PRIDE_h_1,2, PRIDE_h_1,3, PRIDE_h_1,4, PRIDE_h_1,5], [PRIDE_h_2,0, PRIDE_h_2,1, PRIDE_h_2,2, PRIDE_h_2,3, PRIDE_h_2,4, PRIDE_h_2,5], [PRIDE_h_3,0, PRIDE_h_3,1, PRIDE_h_3,2, PRIDE_h_3,3, PRIDE_h_3,4, PRIDE_h_3,5], [PRIDE_h_4,0, PRIDE_h_4,1, PRIDE_h_4,2, PRIDE_h_4,3, PRIDE_h_4,4, PRIDE_h_4,5], [PRIDE_h_5,0, PRIDE_h_5,1, PRIDE_h_5,2, PRIDE_h_5,3, PRIDE_h_5,4, PRIDE_h_5,5], [PRIDE_h_6,0, PRIDE_h_6,1, PRIDE_h_6,2, PRIDE_h_6,3, PRIDE_h_6,4, PRIDE_h_6,5], [PRIDE_h_7,0, PRIDE_h_7,1, PRIDE_h_7,2, PRIDE_h_7,3, PRIDE_h_7,4, PRIDE_h_7,5], [PRIDE_h_8,0, PRIDE_h_8,1, PRIDE_h_8,2, PRIDE_h_8,3, PRIDE_h_8,4, PRIDE_h_8,5], [PRIDE_h_9,0, PRIDE_h_9,1, PRIDE_h_9,2, PRIDE_h_9,3, PRIDE_h_9,4, PRIDE_h_9,5]], [[PRIDE_v_0,0, PRIDE_v_0,1, PRIDE_v_0,2, PRIDE_v_0,3, PRIDE_v_0,4, PRIDE_v_0,5, PRIDE_v_0,6, PRIDE_v_0,7, PRIDE_v_0,8, PRIDE_v_0,9], [PRIDE_v_1,0, PRIDE_v_1,1, PRIDE_v_1,2, PRIDE_v_1,3, PRIDE_v_1,4, PRIDE_v_1,5, PRIDE_v_1,6, PRIDE_v_1,7, PRIDE_v_1,8, PRIDE_v_1,9], [PRIDE_v_2,0, PRIDE_v_2,1, PRIDE_v_2,2, PRIDE_v_2,3, PRIDE_v_2,4, PRIDE_v_2,5, PRIDE_v_2,6, PRIDE_v_2,7, PRIDE_v_2,8, PRIDE_v_2,9], [PRIDE_v_3,0, PRIDE_v_3,1, PRIDE_v_3,2, PRIDE_v_3,3, PRIDE_v_3,4, PRIDE_v_3,5, PRIDE_v_3,6, PRIDE_v_3,7, PRIDE_v_3,8, PRIDE_v_3,9], [PRIDE_v_4,0, PRIDE_v_4,1, PRIDE_v_4,2, PRIDE_v_4,3, PRIDE_v_4,4, PRIDE_v_4,5, PRIDE_v_4,6, PRIDE_v_4,7, PRIDE_v_4,8, PRIDE_v_4,9], [PRIDE_v_5,0, PRIDE_v_5,1, PRIDE_v_5,2, PRIDE_v_5,3, PRIDE_v_5,4, PRIDE_v_5,5, PRIDE_v_5,6, PRIDE_v_5,7, PRIDE_v_5,8, PRIDE_v_5,9]]]\n",
|
|
"[[[NOVEL_h_0,0, NOVEL_h_0,1, NOVEL_h_0,2, NOVEL_h_0,3, NOVEL_h_0,4, NOVEL_h_0,5], [NOVEL_h_1,0, NOVEL_h_1,1, NOVEL_h_1,2, NOVEL_h_1,3, NOVEL_h_1,4, NOVEL_h_1,5], [NOVEL_h_2,0, NOVEL_h_2,1, NOVEL_h_2,2, NOVEL_h_2,3, NOVEL_h_2,4, NOVEL_h_2,5], [NOVEL_h_3,0, NOVEL_h_3,1, NOVEL_h_3,2, NOVEL_h_3,3, NOVEL_h_3,4, NOVEL_h_3,5], [NOVEL_h_4,0, NOVEL_h_4,1, NOVEL_h_4,2, NOVEL_h_4,3, NOVEL_h_4,4, NOVEL_h_4,5], [NOVEL_h_5,0, NOVEL_h_5,1, NOVEL_h_5,2, NOVEL_h_5,3, NOVEL_h_5,4, NOVEL_h_5,5], [NOVEL_h_6,0, NOVEL_h_6,1, NOVEL_h_6,2, NOVEL_h_6,3, NOVEL_h_6,4, NOVEL_h_6,5], [NOVEL_h_7,0, NOVEL_h_7,1, NOVEL_h_7,2, NOVEL_h_7,3, NOVEL_h_7,4, NOVEL_h_7,5], [NOVEL_h_8,0, NOVEL_h_8,1, NOVEL_h_8,2, NOVEL_h_8,3, NOVEL_h_8,4, NOVEL_h_8,5], [NOVEL_h_9,0, NOVEL_h_9,1, NOVEL_h_9,2, NOVEL_h_9,3, NOVEL_h_9,4, NOVEL_h_9,5]], [[NOVEL_v_0,0, NOVEL_v_0,1, NOVEL_v_0,2, NOVEL_v_0,3, NOVEL_v_0,4, NOVEL_v_0,5, NOVEL_v_0,6, NOVEL_v_0,7, NOVEL_v_0,8, NOVEL_v_0,9], [NOVEL_v_1,0, NOVEL_v_1,1, NOVEL_v_1,2, NOVEL_v_1,3, NOVEL_v_1,4, NOVEL_v_1,5, NOVEL_v_1,6, NOVEL_v_1,7, NOVEL_v_1,8, NOVEL_v_1,9], [NOVEL_v_2,0, NOVEL_v_2,1, NOVEL_v_2,2, NOVEL_v_2,3, NOVEL_v_2,4, NOVEL_v_2,5, NOVEL_v_2,6, NOVEL_v_2,7, NOVEL_v_2,8, NOVEL_v_2,9], [NOVEL_v_3,0, NOVEL_v_3,1, NOVEL_v_3,2, NOVEL_v_3,3, NOVEL_v_3,4, NOVEL_v_3,5, NOVEL_v_3,6, NOVEL_v_3,7, NOVEL_v_3,8, NOVEL_v_3,9], [NOVEL_v_4,0, NOVEL_v_4,1, NOVEL_v_4,2, NOVEL_v_4,3, NOVEL_v_4,4, NOVEL_v_4,5, NOVEL_v_4,6, NOVEL_v_4,7, NOVEL_v_4,8, NOVEL_v_4,9], [NOVEL_v_5,0, NOVEL_v_5,1, NOVEL_v_5,2, NOVEL_v_5,3, NOVEL_v_5,4, NOVEL_v_5,5, NOVEL_v_5,6, NOVEL_v_5,7, NOVEL_v_5,8, NOVEL_v_5,9]]]\n",
|
|
"[[[DARCY_h_0,0, DARCY_h_0,1, DARCY_h_0,2, DARCY_h_0,3, DARCY_h_0,4, DARCY_h_0,5], [DARCY_h_1,0, DARCY_h_1,1, DARCY_h_1,2, DARCY_h_1,3, DARCY_h_1,4, DARCY_h_1,5], [DARCY_h_2,0, DARCY_h_2,1, DARCY_h_2,2, DARCY_h_2,3, DARCY_h_2,4, DARCY_h_2,5], [DARCY_h_3,0, DARCY_h_3,1, DARCY_h_3,2, DARCY_h_3,3, DARCY_h_3,4, DARCY_h_3,5], [DARCY_h_4,0, DARCY_h_4,1, DARCY_h_4,2, DARCY_h_4,3, DARCY_h_4,4, DARCY_h_4,5], [DARCY_h_5,0, DARCY_h_5,1, DARCY_h_5,2, DARCY_h_5,3, DARCY_h_5,4, DARCY_h_5,5], [DARCY_h_6,0, DARCY_h_6,1, DARCY_h_6,2, DARCY_h_6,3, DARCY_h_6,4, DARCY_h_6,5], [DARCY_h_7,0, DARCY_h_7,1, DARCY_h_7,2, DARCY_h_7,3, DARCY_h_7,4, DARCY_h_7,5], [DARCY_h_8,0, DARCY_h_8,1, DARCY_h_8,2, DARCY_h_8,3, DARCY_h_8,4, DARCY_h_8,5], [DARCY_h_9,0, DARCY_h_9,1, DARCY_h_9,2, DARCY_h_9,3, DARCY_h_9,4, DARCY_h_9,5]], [[DARCY_v_0,0, DARCY_v_0,1, DARCY_v_0,2, DARCY_v_0,3, DARCY_v_0,4, DARCY_v_0,5, DARCY_v_0,6, DARCY_v_0,7, DARCY_v_0,8, DARCY_v_0,9], [DARCY_v_1,0, DARCY_v_1,1, DARCY_v_1,2, DARCY_v_1,3, DARCY_v_1,4, DARCY_v_1,5, DARCY_v_1,6, DARCY_v_1,7, DARCY_v_1,8, DARCY_v_1,9], [DARCY_v_2,0, DARCY_v_2,1, DARCY_v_2,2, DARCY_v_2,3, DARCY_v_2,4, DARCY_v_2,5, DARCY_v_2,6, DARCY_v_2,7, DARCY_v_2,8, DARCY_v_2,9], [DARCY_v_3,0, DARCY_v_3,1, DARCY_v_3,2, DARCY_v_3,3, DARCY_v_3,4, DARCY_v_3,5, DARCY_v_3,6, DARCY_v_3,7, DARCY_v_3,8, DARCY_v_3,9], [DARCY_v_4,0, DARCY_v_4,1, DARCY_v_4,2, DARCY_v_4,3, DARCY_v_4,4, DARCY_v_4,5, DARCY_v_4,6, DARCY_v_4,7, DARCY_v_4,8, DARCY_v_4,9], [DARCY_v_5,0, DARCY_v_5,1, DARCY_v_5,2, DARCY_v_5,3, DARCY_v_5,4, DARCY_v_5,5, DARCY_v_5,6, DARCY_v_5,7, DARCY_v_5,8, DARCY_v_5,9]]]\n",
|
|
"[[[SENSE_h_0,0, SENSE_h_0,1, SENSE_h_0,2, SENSE_h_0,3, SENSE_h_0,4, SENSE_h_0,5], [SENSE_h_1,0, SENSE_h_1,1, SENSE_h_1,2, SENSE_h_1,3, SENSE_h_1,4, SENSE_h_1,5], [SENSE_h_2,0, SENSE_h_2,1, SENSE_h_2,2, SENSE_h_2,3, SENSE_h_2,4, SENSE_h_2,5], [SENSE_h_3,0, SENSE_h_3,1, SENSE_h_3,2, SENSE_h_3,3, SENSE_h_3,4, SENSE_h_3,5], [SENSE_h_4,0, SENSE_h_4,1, SENSE_h_4,2, SENSE_h_4,3, SENSE_h_4,4, SENSE_h_4,5], [SENSE_h_5,0, SENSE_h_5,1, SENSE_h_5,2, SENSE_h_5,3, SENSE_h_5,4, SENSE_h_5,5], [SENSE_h_6,0, SENSE_h_6,1, SENSE_h_6,2, SENSE_h_6,3, SENSE_h_6,4, SENSE_h_6,5], [SENSE_h_7,0, SENSE_h_7,1, SENSE_h_7,2, SENSE_h_7,3, SENSE_h_7,4, SENSE_h_7,5], [SENSE_h_8,0, SENSE_h_8,1, SENSE_h_8,2, SENSE_h_8,3, SENSE_h_8,4, SENSE_h_8,5], [SENSE_h_9,0, SENSE_h_9,1, SENSE_h_9,2, SENSE_h_9,3, SENSE_h_9,4, SENSE_h_9,5]], [[SENSE_v_0,0, SENSE_v_0,1, SENSE_v_0,2, SENSE_v_0,3, SENSE_v_0,4, SENSE_v_0,5, SENSE_v_0,6, SENSE_v_0,7, SENSE_v_0,8, SENSE_v_0,9], [SENSE_v_1,0, SENSE_v_1,1, SENSE_v_1,2, SENSE_v_1,3, SENSE_v_1,4, SENSE_v_1,5, SENSE_v_1,6, SENSE_v_1,7, SENSE_v_1,8, SENSE_v_1,9], [SENSE_v_2,0, SENSE_v_2,1, SENSE_v_2,2, SENSE_v_2,3, SENSE_v_2,4, SENSE_v_2,5, SENSE_v_2,6, SENSE_v_2,7, SENSE_v_2,8, SENSE_v_2,9], [SENSE_v_3,0, SENSE_v_3,1, SENSE_v_3,2, SENSE_v_3,3, SENSE_v_3,4, SENSE_v_3,5, SENSE_v_3,6, SENSE_v_3,7, SENSE_v_3,8, SENSE_v_3,9], [SENSE_v_4,0, SENSE_v_4,1, SENSE_v_4,2, SENSE_v_4,3, SENSE_v_4,4, SENSE_v_4,5, SENSE_v_4,6, SENSE_v_4,7, SENSE_v_4,8, SENSE_v_4,9], [SENSE_v_5,0, SENSE_v_5,1, SENSE_v_5,2, SENSE_v_5,3, SENSE_v_5,4, SENSE_v_5,5, SENSE_v_5,6, SENSE_v_5,7, SENSE_v_5,8, SENSE_v_5,9]]]\n",
|
|
"[[[EMMA_h_0,0, EMMA_h_0,1, EMMA_h_0,2, EMMA_h_0,3, EMMA_h_0,4, EMMA_h_0,5, EMMA_h_0,6], [EMMA_h_1,0, EMMA_h_1,1, EMMA_h_1,2, EMMA_h_1,3, EMMA_h_1,4, EMMA_h_1,5, EMMA_h_1,6], [EMMA_h_2,0, EMMA_h_2,1, EMMA_h_2,2, EMMA_h_2,3, EMMA_h_2,4, EMMA_h_2,5, EMMA_h_2,6], [EMMA_h_3,0, EMMA_h_3,1, EMMA_h_3,2, EMMA_h_3,3, EMMA_h_3,4, EMMA_h_3,5, EMMA_h_3,6], [EMMA_h_4,0, EMMA_h_4,1, EMMA_h_4,2, EMMA_h_4,3, EMMA_h_4,4, EMMA_h_4,5, EMMA_h_4,6], [EMMA_h_5,0, EMMA_h_5,1, EMMA_h_5,2, EMMA_h_5,3, EMMA_h_5,4, EMMA_h_5,5, EMMA_h_5,6], [EMMA_h_6,0, EMMA_h_6,1, EMMA_h_6,2, EMMA_h_6,3, EMMA_h_6,4, EMMA_h_6,5, EMMA_h_6,6], [EMMA_h_7,0, EMMA_h_7,1, EMMA_h_7,2, EMMA_h_7,3, EMMA_h_7,4, EMMA_h_7,5, EMMA_h_7,6], [EMMA_h_8,0, EMMA_h_8,1, EMMA_h_8,2, EMMA_h_8,3, EMMA_h_8,4, EMMA_h_8,5, EMMA_h_8,6], [EMMA_h_9,0, EMMA_h_9,1, EMMA_h_9,2, EMMA_h_9,3, EMMA_h_9,4, EMMA_h_9,5, EMMA_h_9,6]], [[EMMA_v_0,0, EMMA_v_0,1, EMMA_v_0,2, EMMA_v_0,3, EMMA_v_0,4, EMMA_v_0,5, EMMA_v_0,6, EMMA_v_0,7, EMMA_v_0,8, EMMA_v_0,9], [EMMA_v_1,0, EMMA_v_1,1, EMMA_v_1,2, EMMA_v_1,3, EMMA_v_1,4, EMMA_v_1,5, EMMA_v_1,6, EMMA_v_1,7, EMMA_v_1,8, EMMA_v_1,9], [EMMA_v_2,0, EMMA_v_2,1, EMMA_v_2,2, EMMA_v_2,3, EMMA_v_2,4, EMMA_v_2,5, EMMA_v_2,6, EMMA_v_2,7, EMMA_v_2,8, EMMA_v_2,9], [EMMA_v_3,0, EMMA_v_3,1, EMMA_v_3,2, EMMA_v_3,3, EMMA_v_3,4, EMMA_v_3,5, EMMA_v_3,6, EMMA_v_3,7, EMMA_v_3,8, EMMA_v_3,9], [EMMA_v_4,0, EMMA_v_4,1, EMMA_v_4,2, EMMA_v_4,3, EMMA_v_4,4, EMMA_v_4,5, EMMA_v_4,6, EMMA_v_4,7, EMMA_v_4,8, EMMA_v_4,9], [EMMA_v_5,0, EMMA_v_5,1, EMMA_v_5,2, EMMA_v_5,3, EMMA_v_5,4, EMMA_v_5,5, EMMA_v_5,6, EMMA_v_5,7, EMMA_v_5,8, EMMA_v_5,9], [EMMA_v_6,0, EMMA_v_6,1, EMMA_v_6,2, EMMA_v_6,3, EMMA_v_6,4, EMMA_v_6,5, EMMA_v_6,6, EMMA_v_6,7, EMMA_v_6,8, EMMA_v_6,9]]]\n",
|
|
"[[[ESTATE_h_0,0, ESTATE_h_0,1, ESTATE_h_0,2, ESTATE_h_0,3, ESTATE_h_0,4], [ESTATE_h_1,0, ESTATE_h_1,1, ESTATE_h_1,2, ESTATE_h_1,3, ESTATE_h_1,4], [ESTATE_h_2,0, ESTATE_h_2,1, ESTATE_h_2,2, ESTATE_h_2,3, ESTATE_h_2,4], [ESTATE_h_3,0, ESTATE_h_3,1, ESTATE_h_3,2, ESTATE_h_3,3, ESTATE_h_3,4], [ESTATE_h_4,0, ESTATE_h_4,1, ESTATE_h_4,2, ESTATE_h_4,3, ESTATE_h_4,4], [ESTATE_h_5,0, ESTATE_h_5,1, ESTATE_h_5,2, ESTATE_h_5,3, ESTATE_h_5,4], [ESTATE_h_6,0, ESTATE_h_6,1, ESTATE_h_6,2, ESTATE_h_6,3, ESTATE_h_6,4], [ESTATE_h_7,0, ESTATE_h_7,1, ESTATE_h_7,2, ESTATE_h_7,3, ESTATE_h_7,4], [ESTATE_h_8,0, ESTATE_h_8,1, ESTATE_h_8,2, ESTATE_h_8,3, ESTATE_h_8,4], [ESTATE_h_9,0, ESTATE_h_9,1, ESTATE_h_9,2, ESTATE_h_9,3, ESTATE_h_9,4]], [[ESTATE_v_0,0, ESTATE_v_0,1, ESTATE_v_0,2, ESTATE_v_0,3, ESTATE_v_0,4, ESTATE_v_0,5, ESTATE_v_0,6, ESTATE_v_0,7, ESTATE_v_0,8, ESTATE_v_0,9], [ESTATE_v_1,0, ESTATE_v_1,1, ESTATE_v_1,2, ESTATE_v_1,3, ESTATE_v_1,4, ESTATE_v_1,5, ESTATE_v_1,6, ESTATE_v_1,7, ESTATE_v_1,8, ESTATE_v_1,9], [ESTATE_v_2,0, ESTATE_v_2,1, ESTATE_v_2,2, ESTATE_v_2,3, ESTATE_v_2,4, ESTATE_v_2,5, ESTATE_v_2,6, ESTATE_v_2,7, ESTATE_v_2,8, ESTATE_v_2,9], [ESTATE_v_3,0, ESTATE_v_3,1, ESTATE_v_3,2, ESTATE_v_3,3, ESTATE_v_3,4, ESTATE_v_3,5, ESTATE_v_3,6, ESTATE_v_3,7, ESTATE_v_3,8, ESTATE_v_3,9], [ESTATE_v_4,0, ESTATE_v_4,1, ESTATE_v_4,2, ESTATE_v_4,3, ESTATE_v_4,4, ESTATE_v_4,5, ESTATE_v_4,6, ESTATE_v_4,7, ESTATE_v_4,8, ESTATE_v_4,9]]]\n",
|
|
"[[[BENNET_h_0,0, BENNET_h_0,1, BENNET_h_0,2, BENNET_h_0,3, BENNET_h_0,4], [BENNET_h_1,0, BENNET_h_1,1, BENNET_h_1,2, BENNET_h_1,3, BENNET_h_1,4], [BENNET_h_2,0, BENNET_h_2,1, BENNET_h_2,2, BENNET_h_2,3, BENNET_h_2,4], [BENNET_h_3,0, BENNET_h_3,1, BENNET_h_3,2, BENNET_h_3,3, BENNET_h_3,4], [BENNET_h_4,0, BENNET_h_4,1, BENNET_h_4,2, BENNET_h_4,3, BENNET_h_4,4], [BENNET_h_5,0, BENNET_h_5,1, BENNET_h_5,2, BENNET_h_5,3, BENNET_h_5,4], [BENNET_h_6,0, BENNET_h_6,1, BENNET_h_6,2, BENNET_h_6,3, BENNET_h_6,4], [BENNET_h_7,0, BENNET_h_7,1, BENNET_h_7,2, BENNET_h_7,3, BENNET_h_7,4], [BENNET_h_8,0, BENNET_h_8,1, BENNET_h_8,2, BENNET_h_8,3, BENNET_h_8,4], [BENNET_h_9,0, BENNET_h_9,1, BENNET_h_9,2, BENNET_h_9,3, BENNET_h_9,4]], [[BENNET_v_0,0, BENNET_v_0,1, BENNET_v_0,2, BENNET_v_0,3, BENNET_v_0,4, BENNET_v_0,5, BENNET_v_0,6, BENNET_v_0,7, BENNET_v_0,8, BENNET_v_0,9], [BENNET_v_1,0, BENNET_v_1,1, BENNET_v_1,2, BENNET_v_1,3, BENNET_v_1,4, BENNET_v_1,5, BENNET_v_1,6, BENNET_v_1,7, BENNET_v_1,8, BENNET_v_1,9], [BENNET_v_2,0, BENNET_v_2,1, BENNET_v_2,2, BENNET_v_2,3, BENNET_v_2,4, BENNET_v_2,5, BENNET_v_2,6, BENNET_v_2,7, BENNET_v_2,8, BENNET_v_2,9], [BENNET_v_3,0, BENNET_v_3,1, BENNET_v_3,2, BENNET_v_3,3, BENNET_v_3,4, BENNET_v_3,5, BENNET_v_3,6, BENNET_v_3,7, BENNET_v_3,8, BENNET_v_3,9], [BENNET_v_4,0, BENNET_v_4,1, BENNET_v_4,2, BENNET_v_4,3, BENNET_v_4,4, BENNET_v_4,5, BENNET_v_4,6, BENNET_v_4,7, BENNET_v_4,8, BENNET_v_4,9]]]\n",
|
|
"[[[BATH_h_0,0, BATH_h_0,1, BATH_h_0,2, BATH_h_0,3, BATH_h_0,4, BATH_h_0,5, BATH_h_0,6], [BATH_h_1,0, BATH_h_1,1, BATH_h_1,2, BATH_h_1,3, BATH_h_1,4, BATH_h_1,5, BATH_h_1,6], [BATH_h_2,0, BATH_h_2,1, BATH_h_2,2, BATH_h_2,3, BATH_h_2,4, BATH_h_2,5, BATH_h_2,6], [BATH_h_3,0, BATH_h_3,1, BATH_h_3,2, BATH_h_3,3, BATH_h_3,4, BATH_h_3,5, BATH_h_3,6], [BATH_h_4,0, BATH_h_4,1, BATH_h_4,2, BATH_h_4,3, BATH_h_4,4, BATH_h_4,5, BATH_h_4,6], [BATH_h_5,0, BATH_h_5,1, BATH_h_5,2, BATH_h_5,3, BATH_h_5,4, BATH_h_5,5, BATH_h_5,6], [BATH_h_6,0, BATH_h_6,1, BATH_h_6,2, BATH_h_6,3, BATH_h_6,4, BATH_h_6,5, BATH_h_6,6], [BATH_h_7,0, BATH_h_7,1, BATH_h_7,2, BATH_h_7,3, BATH_h_7,4, BATH_h_7,5, BATH_h_7,6], [BATH_h_8,0, BATH_h_8,1, BATH_h_8,2, BATH_h_8,3, BATH_h_8,4, BATH_h_8,5, BATH_h_8,6], [BATH_h_9,0, BATH_h_9,1, BATH_h_9,2, BATH_h_9,3, BATH_h_9,4, BATH_h_9,5, BATH_h_9,6]], [[BATH_v_0,0, BATH_v_0,1, BATH_v_0,2, BATH_v_0,3, BATH_v_0,4, BATH_v_0,5, BATH_v_0,6, BATH_v_0,7, BATH_v_0,8, BATH_v_0,9], [BATH_v_1,0, BATH_v_1,1, BATH_v_1,2, BATH_v_1,3, BATH_v_1,4, BATH_v_1,5, BATH_v_1,6, BATH_v_1,7, BATH_v_1,8, BATH_v_1,9], [BATH_v_2,0, BATH_v_2,1, BATH_v_2,2, BATH_v_2,3, BATH_v_2,4, BATH_v_2,5, BATH_v_2,6, BATH_v_2,7, BATH_v_2,8, BATH_v_2,9], [BATH_v_3,0, BATH_v_3,1, BATH_v_3,2, BATH_v_3,3, BATH_v_3,4, BATH_v_3,5, BATH_v_3,6, BATH_v_3,7, BATH_v_3,8, BATH_v_3,9], [BATH_v_4,0, BATH_v_4,1, BATH_v_4,2, BATH_v_4,3, BATH_v_4,4, BATH_v_4,5, BATH_v_4,6, BATH_v_4,7, BATH_v_4,8, BATH_v_4,9], [BATH_v_5,0, BATH_v_5,1, BATH_v_5,2, BATH_v_5,3, BATH_v_5,4, BATH_v_5,5, BATH_v_5,6, BATH_v_5,7, BATH_v_5,8, BATH_v_5,9], [BATH_v_6,0, BATH_v_6,1, BATH_v_6,2, BATH_v_6,3, BATH_v_6,4, BATH_v_6,5, BATH_v_6,6, BATH_v_6,7, BATH_v_6,8, BATH_v_6,9]]]\n",
|
|
"Executed in 0.5563 seconds\n",
|
|
"sat\n",
|
|
"╔═╤═╤═╤═╤═╤═╤═╤═╤═╤═╗\n",
|
|
"║█│█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█│█║\n",
|
|
"╚═╧═╧═╧═╧═╧═╧═╧═╧═╧═╝\n"
|
|
]
|
|
}
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"source": [
|
|
"If you've done this correctly, it should be working better, but we now have the problem that words do not all connect to each other. Hence, we have to add a final constraint that all of the letters are connected.\n",
|
|
"\n",
|
|
"First we form an $N\\times N$ adjacency matrix which the value is true if word $i$ intersects with word $j$. Then we use the 'is_fully_connected' construction that we developed in the notebook on SAT constructions."
|
|
],
|
|
"metadata": {
|
|
"id": "R69urJyN9wlc"
|
|
}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"def is_fully_connected(s, adjacency):\n",
|
|
" # Size of the adjacency matrix\n",
|
|
" n_components = len(adjacency)\n",
|
|
" # We'll construct a N x N x log[N] array of variables\n",
|
|
" # The NxN variables in the first layer represent A, the variables in the second layer represent B and so on\n",
|
|
" n_layers = math.ceil(math.log(n_components,2))+1\n",
|
|
" connected = [[[ z3.Bool(\"conn_{%d,%d,%d}\"%((i,j,n))) for n in range(0, n_layers)] for j in range(0, n_components) ] for i in range(0, n_components) ]\n",
|
|
"\n",
|
|
" # Constraint 1\n",
|
|
" # The value in the top layer of the connected structure is equal to the adjacency matrix\n",
|
|
" for i in range(n_components):\n",
|
|
" for j in range(n_components):\n",
|
|
" s.add(connected[i][j][0]==adjacency[i][j])\n",
|
|
"\n",
|
|
" # Constraint 2\n",
|
|
" # Value at position [i,j] in layer n is value at position [i,j] of the binary matrix product of layer n-1 with itself\n",
|
|
" for n in range(1,n_layers):\n",
|
|
" for i in range(n_components):\n",
|
|
" for j in range(n_components):\n",
|
|
" matrix_entry_ij = False\n",
|
|
" for k in range(n_components):\n",
|
|
" matrix_entry_ij = Or(matrix_entry_ij, And(connected[i][k][n-1],connected[k][j][n-1]))\n",
|
|
" s.add(connected[i][j][n]==matrix_entry_ij)\n",
|
|
"\n",
|
|
" # Constraint 3 -- any row of column of the matrix should be full of ones at the end (everything is connected)\n",
|
|
" for i in range(n_components):\n",
|
|
" s.add(connected[i][0][n_layers-1])\n",
|
|
"\n",
|
|
" return s"
|
|
],
|
|
"metadata": {
|
|
"id": "2uPPXENwLugr"
|
|
},
|
|
"execution_count": 28,
|
|
"outputs": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"# Helper routine that returns true if the current word is at position (i,j) in the grid\n",
|
|
"def word_at_position_ij(i,j, placement_vars, word, grid_size):\n",
|
|
"\n",
|
|
" relevant_placements = [] ;\n",
|
|
" # Deal with horizontal words first\n",
|
|
" for horz_pos in range(np.max([0, j-len(word)+1]), np.min([j+1, grid_size-len(word)+1])):\n",
|
|
" # First the horizontal words\n",
|
|
" relevant_placements.append(placement_vars[word][0][i][horz_pos])\n",
|
|
" # Then the vertical words\n",
|
|
" for vert_pos in range(np.max([0, i-len(word)+1]), np.min([i+1, grid_size-len(word)+1])):\n",
|
|
" relevant_placements.append(placement_vars[word][1][vert_pos][j])\n",
|
|
"\n",
|
|
" return Or(relevant_placements) ;"
|
|
],
|
|
"metadata": {
|
|
"id": "FhJPmmAOV3AS"
|
|
},
|
|
"execution_count": 29,
|
|
"outputs": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"def add_constraint_set4(s, placement_vars, letter_posns, words, grid_size):\n",
|
|
" # First lets create a new variable that represents the adjacency matrix of the words\n",
|
|
" adjacency = [[ z3.Bool(\"adj_{%d,%d}\"%((i,j))) for j in range(0, len(words)) ] for i in range(0, len(words)) ]\n",
|
|
"\n",
|
|
" # Run through each word\n",
|
|
" for c_w1 in range(len(words)):\n",
|
|
" for c_w2 in range(c_w1, len(words)):\n",
|
|
" # If word indices are the same (i.e., c_w1=c_w2) then adjacency at c_w1,c_w2 is true\n",
|
|
" # TODO -- replace this line\n",
|
|
" s.add(adjacency[0][0])\n",
|
|
"\n",
|
|
" word1 = words[c_w1]\n",
|
|
" word2 = words[c_w2]\n",
|
|
" # TODO determine if word1 and word2 intersect. You can use the routine \"word_at_position_ij\" above\n",
|
|
" # Replace this line\n",
|
|
" words_intersect = True\n",
|
|
"\n",
|
|
" # Set value and symmetric value of adjacency matrix\n",
|
|
" s.add(adjacency[c_w1][c_w2] == words_intersect)\n",
|
|
" s.add(adjacency[c_w2][c_w1] == adjacency[c_w1][c_w2])\n",
|
|
"\n",
|
|
" # Add the constraint that the adjacency matrix must be fully connected\n",
|
|
" s = is_fully_connected(s, adjacency)\n",
|
|
" return s"
|
|
],
|
|
"metadata": {
|
|
"id": "Xmzv8g_-RIid"
|
|
},
|
|
"execution_count": 32,
|
|
"outputs": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"# Let's see how this improves things (took 32 seconds to run for me, but might be longer)\n",
|
|
"solve_crossword(words, 11, add_constraint_set1, add_constraint_set2, add_constraint_set3, add_constraint_set4)"
|
|
],
|
|
"metadata": {
|
|
"colab": {
|
|
"base_uri": "https://localhost:8080/"
|
|
},
|
|
"id": "M7pPhYTfaLEd",
|
|
"outputId": "dbe3c395-a935-45a3-8c2d-d615e6b4ed39"
|
|
},
|
|
"execution_count": 33,
|
|
"outputs": [
|
|
{
|
|
"output_type": "stream",
|
|
"name": "stdout",
|
|
"text": [
|
|
"[[[JANE_h_0,0, JANE_h_0,1, JANE_h_0,2, JANE_h_0,3, JANE_h_0,4, JANE_h_0,5, JANE_h_0,6, JANE_h_0,7], [JANE_h_1,0, JANE_h_1,1, JANE_h_1,2, JANE_h_1,3, JANE_h_1,4, JANE_h_1,5, JANE_h_1,6, JANE_h_1,7], [JANE_h_2,0, JANE_h_2,1, JANE_h_2,2, JANE_h_2,3, JANE_h_2,4, JANE_h_2,5, JANE_h_2,6, JANE_h_2,7], [JANE_h_3,0, JANE_h_3,1, JANE_h_3,2, JANE_h_3,3, JANE_h_3,4, JANE_h_3,5, JANE_h_3,6, JANE_h_3,7], [JANE_h_4,0, JANE_h_4,1, JANE_h_4,2, JANE_h_4,3, JANE_h_4,4, JANE_h_4,5, JANE_h_4,6, JANE_h_4,7], [JANE_h_5,0, JANE_h_5,1, JANE_h_5,2, JANE_h_5,3, JANE_h_5,4, JANE_h_5,5, JANE_h_5,6, JANE_h_5,7], [JANE_h_6,0, JANE_h_6,1, JANE_h_6,2, JANE_h_6,3, JANE_h_6,4, JANE_h_6,5, JANE_h_6,6, JANE_h_6,7], [JANE_h_7,0, JANE_h_7,1, JANE_h_7,2, JANE_h_7,3, JANE_h_7,4, JANE_h_7,5, JANE_h_7,6, JANE_h_7,7], [JANE_h_8,0, JANE_h_8,1, JANE_h_8,2, JANE_h_8,3, JANE_h_8,4, JANE_h_8,5, JANE_h_8,6, JANE_h_8,7], [JANE_h_9,0, JANE_h_9,1, JANE_h_9,2, JANE_h_9,3, JANE_h_9,4, JANE_h_9,5, JANE_h_9,6, JANE_h_9,7], [JANE_h_10,0, JANE_h_10,1, JANE_h_10,2, JANE_h_10,3, JANE_h_10,4, JANE_h_10,5, JANE_h_10,6, JANE_h_10,7]], [[JANE_v_0,0, JANE_v_0,1, JANE_v_0,2, JANE_v_0,3, JANE_v_0,4, JANE_v_0,5, JANE_v_0,6, JANE_v_0,7, JANE_v_0,8, JANE_v_0,9, JANE_v_0,10], [JANE_v_1,0, JANE_v_1,1, JANE_v_1,2, JANE_v_1,3, JANE_v_1,4, JANE_v_1,5, JANE_v_1,6, JANE_v_1,7, JANE_v_1,8, JANE_v_1,9, JANE_v_1,10], [JANE_v_2,0, JANE_v_2,1, JANE_v_2,2, JANE_v_2,3, JANE_v_2,4, JANE_v_2,5, JANE_v_2,6, JANE_v_2,7, JANE_v_2,8, JANE_v_2,9, JANE_v_2,10], [JANE_v_3,0, JANE_v_3,1, JANE_v_3,2, JANE_v_3,3, JANE_v_3,4, JANE_v_3,5, JANE_v_3,6, JANE_v_3,7, JANE_v_3,8, JANE_v_3,9, JANE_v_3,10], [JANE_v_4,0, JANE_v_4,1, JANE_v_4,2, JANE_v_4,3, JANE_v_4,4, JANE_v_4,5, JANE_v_4,6, JANE_v_4,7, JANE_v_4,8, JANE_v_4,9, JANE_v_4,10], [JANE_v_5,0, JANE_v_5,1, JANE_v_5,2, JANE_v_5,3, JANE_v_5,4, JANE_v_5,5, JANE_v_5,6, JANE_v_5,7, JANE_v_5,8, JANE_v_5,9, JANE_v_5,10], [JANE_v_6,0, JANE_v_6,1, JANE_v_6,2, JANE_v_6,3, JANE_v_6,4, JANE_v_6,5, JANE_v_6,6, JANE_v_6,7, JANE_v_6,8, JANE_v_6,9, JANE_v_6,10], [JANE_v_7,0, JANE_v_7,1, JANE_v_7,2, JANE_v_7,3, JANE_v_7,4, JANE_v_7,5, JANE_v_7,6, JANE_v_7,7, JANE_v_7,8, JANE_v_7,9, JANE_v_7,10]]]\n",
|
|
"[[[AUSTEN_h_0,0, AUSTEN_h_0,1, AUSTEN_h_0,2, AUSTEN_h_0,3, AUSTEN_h_0,4, AUSTEN_h_0,5], [AUSTEN_h_1,0, AUSTEN_h_1,1, AUSTEN_h_1,2, AUSTEN_h_1,3, AUSTEN_h_1,4, AUSTEN_h_1,5], [AUSTEN_h_2,0, AUSTEN_h_2,1, AUSTEN_h_2,2, AUSTEN_h_2,3, AUSTEN_h_2,4, AUSTEN_h_2,5], [AUSTEN_h_3,0, AUSTEN_h_3,1, AUSTEN_h_3,2, AUSTEN_h_3,3, AUSTEN_h_3,4, AUSTEN_h_3,5], [AUSTEN_h_4,0, AUSTEN_h_4,1, AUSTEN_h_4,2, AUSTEN_h_4,3, AUSTEN_h_4,4, AUSTEN_h_4,5], [AUSTEN_h_5,0, AUSTEN_h_5,1, AUSTEN_h_5,2, AUSTEN_h_5,3, AUSTEN_h_5,4, AUSTEN_h_5,5], [AUSTEN_h_6,0, AUSTEN_h_6,1, AUSTEN_h_6,2, AUSTEN_h_6,3, AUSTEN_h_6,4, AUSTEN_h_6,5], [AUSTEN_h_7,0, AUSTEN_h_7,1, AUSTEN_h_7,2, AUSTEN_h_7,3, AUSTEN_h_7,4, AUSTEN_h_7,5], [AUSTEN_h_8,0, AUSTEN_h_8,1, AUSTEN_h_8,2, AUSTEN_h_8,3, AUSTEN_h_8,4, AUSTEN_h_8,5], [AUSTEN_h_9,0, AUSTEN_h_9,1, AUSTEN_h_9,2, AUSTEN_h_9,3, AUSTEN_h_9,4, AUSTEN_h_9,5], [AUSTEN_h_10,0, AUSTEN_h_10,1, AUSTEN_h_10,2, AUSTEN_h_10,3, AUSTEN_h_10,4, AUSTEN_h_10,5]], [[AUSTEN_v_0,0, AUSTEN_v_0,1, AUSTEN_v_0,2, AUSTEN_v_0,3, AUSTEN_v_0,4, AUSTEN_v_0,5, AUSTEN_v_0,6, AUSTEN_v_0,7, AUSTEN_v_0,8, AUSTEN_v_0,9, AUSTEN_v_0,10], [AUSTEN_v_1,0, AUSTEN_v_1,1, AUSTEN_v_1,2, AUSTEN_v_1,3, AUSTEN_v_1,4, AUSTEN_v_1,5, AUSTEN_v_1,6, AUSTEN_v_1,7, AUSTEN_v_1,8, AUSTEN_v_1,9, AUSTEN_v_1,10], [AUSTEN_v_2,0, AUSTEN_v_2,1, AUSTEN_v_2,2, AUSTEN_v_2,3, AUSTEN_v_2,4, AUSTEN_v_2,5, AUSTEN_v_2,6, AUSTEN_v_2,7, AUSTEN_v_2,8, AUSTEN_v_2,9, AUSTEN_v_2,10], [AUSTEN_v_3,0, AUSTEN_v_3,1, AUSTEN_v_3,2, AUSTEN_v_3,3, AUSTEN_v_3,4, AUSTEN_v_3,5, AUSTEN_v_3,6, AUSTEN_v_3,7, AUSTEN_v_3,8, AUSTEN_v_3,9, AUSTEN_v_3,10], [AUSTEN_v_4,0, AUSTEN_v_4,1, AUSTEN_v_4,2, AUSTEN_v_4,3, AUSTEN_v_4,4, AUSTEN_v_4,5, AUSTEN_v_4,6, AUSTEN_v_4,7, AUSTEN_v_4,8, AUSTEN_v_4,9, AUSTEN_v_4,10], [AUSTEN_v_5,0, AUSTEN_v_5,1, AUSTEN_v_5,2, AUSTEN_v_5,3, AUSTEN_v_5,4, AUSTEN_v_5,5, AUSTEN_v_5,6, AUSTEN_v_5,7, AUSTEN_v_5,8, AUSTEN_v_5,9, AUSTEN_v_5,10]]]\n",
|
|
"[[[PRIDE_h_0,0, PRIDE_h_0,1, PRIDE_h_0,2, PRIDE_h_0,3, PRIDE_h_0,4, PRIDE_h_0,5, PRIDE_h_0,6], [PRIDE_h_1,0, PRIDE_h_1,1, PRIDE_h_1,2, PRIDE_h_1,3, PRIDE_h_1,4, PRIDE_h_1,5, PRIDE_h_1,6], [PRIDE_h_2,0, PRIDE_h_2,1, PRIDE_h_2,2, PRIDE_h_2,3, PRIDE_h_2,4, PRIDE_h_2,5, PRIDE_h_2,6], [PRIDE_h_3,0, PRIDE_h_3,1, PRIDE_h_3,2, PRIDE_h_3,3, PRIDE_h_3,4, PRIDE_h_3,5, PRIDE_h_3,6], [PRIDE_h_4,0, PRIDE_h_4,1, PRIDE_h_4,2, PRIDE_h_4,3, PRIDE_h_4,4, PRIDE_h_4,5, PRIDE_h_4,6], [PRIDE_h_5,0, PRIDE_h_5,1, PRIDE_h_5,2, PRIDE_h_5,3, PRIDE_h_5,4, PRIDE_h_5,5, PRIDE_h_5,6], [PRIDE_h_6,0, PRIDE_h_6,1, PRIDE_h_6,2, PRIDE_h_6,3, PRIDE_h_6,4, PRIDE_h_6,5, PRIDE_h_6,6], [PRIDE_h_7,0, PRIDE_h_7,1, PRIDE_h_7,2, PRIDE_h_7,3, PRIDE_h_7,4, PRIDE_h_7,5, PRIDE_h_7,6], [PRIDE_h_8,0, PRIDE_h_8,1, PRIDE_h_8,2, PRIDE_h_8,3, PRIDE_h_8,4, PRIDE_h_8,5, PRIDE_h_8,6], [PRIDE_h_9,0, PRIDE_h_9,1, PRIDE_h_9,2, PRIDE_h_9,3, PRIDE_h_9,4, PRIDE_h_9,5, PRIDE_h_9,6], [PRIDE_h_10,0, PRIDE_h_10,1, PRIDE_h_10,2, PRIDE_h_10,3, PRIDE_h_10,4, PRIDE_h_10,5, PRIDE_h_10,6]], [[PRIDE_v_0,0, PRIDE_v_0,1, PRIDE_v_0,2, PRIDE_v_0,3, PRIDE_v_0,4, PRIDE_v_0,5, PRIDE_v_0,6, PRIDE_v_0,7, PRIDE_v_0,8, PRIDE_v_0,9, PRIDE_v_0,10], [PRIDE_v_1,0, PRIDE_v_1,1, PRIDE_v_1,2, PRIDE_v_1,3, PRIDE_v_1,4, PRIDE_v_1,5, PRIDE_v_1,6, PRIDE_v_1,7, PRIDE_v_1,8, PRIDE_v_1,9, PRIDE_v_1,10], [PRIDE_v_2,0, PRIDE_v_2,1, PRIDE_v_2,2, PRIDE_v_2,3, PRIDE_v_2,4, PRIDE_v_2,5, PRIDE_v_2,6, PRIDE_v_2,7, PRIDE_v_2,8, PRIDE_v_2,9, PRIDE_v_2,10], [PRIDE_v_3,0, PRIDE_v_3,1, PRIDE_v_3,2, PRIDE_v_3,3, PRIDE_v_3,4, PRIDE_v_3,5, PRIDE_v_3,6, PRIDE_v_3,7, PRIDE_v_3,8, PRIDE_v_3,9, PRIDE_v_3,10], [PRIDE_v_4,0, PRIDE_v_4,1, PRIDE_v_4,2, PRIDE_v_4,3, PRIDE_v_4,4, PRIDE_v_4,5, PRIDE_v_4,6, PRIDE_v_4,7, PRIDE_v_4,8, PRIDE_v_4,9, PRIDE_v_4,10], [PRIDE_v_5,0, PRIDE_v_5,1, PRIDE_v_5,2, PRIDE_v_5,3, PRIDE_v_5,4, PRIDE_v_5,5, PRIDE_v_5,6, PRIDE_v_5,7, PRIDE_v_5,8, PRIDE_v_5,9, PRIDE_v_5,10], [PRIDE_v_6,0, PRIDE_v_6,1, PRIDE_v_6,2, PRIDE_v_6,3, PRIDE_v_6,4, PRIDE_v_6,5, PRIDE_v_6,6, PRIDE_v_6,7, PRIDE_v_6,8, PRIDE_v_6,9, PRIDE_v_6,10]]]\n",
|
|
"[[[NOVEL_h_0,0, NOVEL_h_0,1, NOVEL_h_0,2, NOVEL_h_0,3, NOVEL_h_0,4, NOVEL_h_0,5, NOVEL_h_0,6], [NOVEL_h_1,0, NOVEL_h_1,1, NOVEL_h_1,2, NOVEL_h_1,3, NOVEL_h_1,4, NOVEL_h_1,5, NOVEL_h_1,6], [NOVEL_h_2,0, NOVEL_h_2,1, NOVEL_h_2,2, NOVEL_h_2,3, NOVEL_h_2,4, NOVEL_h_2,5, NOVEL_h_2,6], [NOVEL_h_3,0, NOVEL_h_3,1, NOVEL_h_3,2, NOVEL_h_3,3, NOVEL_h_3,4, NOVEL_h_3,5, NOVEL_h_3,6], [NOVEL_h_4,0, NOVEL_h_4,1, NOVEL_h_4,2, NOVEL_h_4,3, NOVEL_h_4,4, NOVEL_h_4,5, NOVEL_h_4,6], [NOVEL_h_5,0, NOVEL_h_5,1, NOVEL_h_5,2, NOVEL_h_5,3, NOVEL_h_5,4, NOVEL_h_5,5, NOVEL_h_5,6], [NOVEL_h_6,0, NOVEL_h_6,1, NOVEL_h_6,2, NOVEL_h_6,3, NOVEL_h_6,4, NOVEL_h_6,5, NOVEL_h_6,6], [NOVEL_h_7,0, NOVEL_h_7,1, NOVEL_h_7,2, NOVEL_h_7,3, NOVEL_h_7,4, NOVEL_h_7,5, NOVEL_h_7,6], [NOVEL_h_8,0, NOVEL_h_8,1, NOVEL_h_8,2, NOVEL_h_8,3, NOVEL_h_8,4, NOVEL_h_8,5, NOVEL_h_8,6], [NOVEL_h_9,0, NOVEL_h_9,1, NOVEL_h_9,2, NOVEL_h_9,3, NOVEL_h_9,4, NOVEL_h_9,5, NOVEL_h_9,6], [NOVEL_h_10,0, NOVEL_h_10,1, NOVEL_h_10,2, NOVEL_h_10,3, NOVEL_h_10,4, NOVEL_h_10,5, NOVEL_h_10,6]], [[NOVEL_v_0,0, NOVEL_v_0,1, NOVEL_v_0,2, NOVEL_v_0,3, NOVEL_v_0,4, NOVEL_v_0,5, NOVEL_v_0,6, NOVEL_v_0,7, NOVEL_v_0,8, NOVEL_v_0,9, NOVEL_v_0,10], [NOVEL_v_1,0, NOVEL_v_1,1, NOVEL_v_1,2, NOVEL_v_1,3, NOVEL_v_1,4, NOVEL_v_1,5, NOVEL_v_1,6, NOVEL_v_1,7, NOVEL_v_1,8, NOVEL_v_1,9, NOVEL_v_1,10], [NOVEL_v_2,0, NOVEL_v_2,1, NOVEL_v_2,2, NOVEL_v_2,3, NOVEL_v_2,4, NOVEL_v_2,5, NOVEL_v_2,6, NOVEL_v_2,7, NOVEL_v_2,8, NOVEL_v_2,9, NOVEL_v_2,10], [NOVEL_v_3,0, NOVEL_v_3,1, NOVEL_v_3,2, NOVEL_v_3,3, NOVEL_v_3,4, NOVEL_v_3,5, NOVEL_v_3,6, NOVEL_v_3,7, NOVEL_v_3,8, NOVEL_v_3,9, NOVEL_v_3,10], [NOVEL_v_4,0, NOVEL_v_4,1, NOVEL_v_4,2, NOVEL_v_4,3, NOVEL_v_4,4, NOVEL_v_4,5, NOVEL_v_4,6, NOVEL_v_4,7, NOVEL_v_4,8, NOVEL_v_4,9, NOVEL_v_4,10], [NOVEL_v_5,0, NOVEL_v_5,1, NOVEL_v_5,2, NOVEL_v_5,3, NOVEL_v_5,4, NOVEL_v_5,5, NOVEL_v_5,6, NOVEL_v_5,7, NOVEL_v_5,8, NOVEL_v_5,9, NOVEL_v_5,10], [NOVEL_v_6,0, NOVEL_v_6,1, NOVEL_v_6,2, NOVEL_v_6,3, NOVEL_v_6,4, NOVEL_v_6,5, NOVEL_v_6,6, NOVEL_v_6,7, NOVEL_v_6,8, NOVEL_v_6,9, NOVEL_v_6,10]]]\n",
|
|
"[[[DARCY_h_0,0, DARCY_h_0,1, DARCY_h_0,2, DARCY_h_0,3, DARCY_h_0,4, DARCY_h_0,5, DARCY_h_0,6], [DARCY_h_1,0, DARCY_h_1,1, DARCY_h_1,2, DARCY_h_1,3, DARCY_h_1,4, DARCY_h_1,5, DARCY_h_1,6], [DARCY_h_2,0, DARCY_h_2,1, DARCY_h_2,2, DARCY_h_2,3, DARCY_h_2,4, DARCY_h_2,5, DARCY_h_2,6], [DARCY_h_3,0, DARCY_h_3,1, DARCY_h_3,2, DARCY_h_3,3, DARCY_h_3,4, DARCY_h_3,5, DARCY_h_3,6], [DARCY_h_4,0, DARCY_h_4,1, DARCY_h_4,2, DARCY_h_4,3, DARCY_h_4,4, DARCY_h_4,5, DARCY_h_4,6], [DARCY_h_5,0, DARCY_h_5,1, DARCY_h_5,2, DARCY_h_5,3, DARCY_h_5,4, DARCY_h_5,5, DARCY_h_5,6], [DARCY_h_6,0, DARCY_h_6,1, DARCY_h_6,2, DARCY_h_6,3, DARCY_h_6,4, DARCY_h_6,5, DARCY_h_6,6], [DARCY_h_7,0, DARCY_h_7,1, DARCY_h_7,2, DARCY_h_7,3, DARCY_h_7,4, DARCY_h_7,5, DARCY_h_7,6], [DARCY_h_8,0, DARCY_h_8,1, DARCY_h_8,2, DARCY_h_8,3, DARCY_h_8,4, DARCY_h_8,5, DARCY_h_8,6], [DARCY_h_9,0, DARCY_h_9,1, DARCY_h_9,2, DARCY_h_9,3, DARCY_h_9,4, DARCY_h_9,5, DARCY_h_9,6], [DARCY_h_10,0, DARCY_h_10,1, DARCY_h_10,2, DARCY_h_10,3, DARCY_h_10,4, DARCY_h_10,5, DARCY_h_10,6]], [[DARCY_v_0,0, DARCY_v_0,1, DARCY_v_0,2, DARCY_v_0,3, DARCY_v_0,4, DARCY_v_0,5, DARCY_v_0,6, DARCY_v_0,7, DARCY_v_0,8, DARCY_v_0,9, DARCY_v_0,10], [DARCY_v_1,0, DARCY_v_1,1, DARCY_v_1,2, DARCY_v_1,3, DARCY_v_1,4, DARCY_v_1,5, DARCY_v_1,6, DARCY_v_1,7, DARCY_v_1,8, DARCY_v_1,9, DARCY_v_1,10], [DARCY_v_2,0, DARCY_v_2,1, DARCY_v_2,2, DARCY_v_2,3, DARCY_v_2,4, DARCY_v_2,5, DARCY_v_2,6, DARCY_v_2,7, DARCY_v_2,8, DARCY_v_2,9, DARCY_v_2,10], [DARCY_v_3,0, DARCY_v_3,1, DARCY_v_3,2, DARCY_v_3,3, DARCY_v_3,4, DARCY_v_3,5, DARCY_v_3,6, DARCY_v_3,7, DARCY_v_3,8, DARCY_v_3,9, DARCY_v_3,10], [DARCY_v_4,0, DARCY_v_4,1, DARCY_v_4,2, DARCY_v_4,3, DARCY_v_4,4, DARCY_v_4,5, DARCY_v_4,6, DARCY_v_4,7, DARCY_v_4,8, DARCY_v_4,9, DARCY_v_4,10], [DARCY_v_5,0, DARCY_v_5,1, DARCY_v_5,2, DARCY_v_5,3, DARCY_v_5,4, DARCY_v_5,5, DARCY_v_5,6, DARCY_v_5,7, DARCY_v_5,8, DARCY_v_5,9, DARCY_v_5,10], [DARCY_v_6,0, DARCY_v_6,1, DARCY_v_6,2, DARCY_v_6,3, DARCY_v_6,4, DARCY_v_6,5, DARCY_v_6,6, DARCY_v_6,7, DARCY_v_6,8, DARCY_v_6,9, DARCY_v_6,10]]]\n",
|
|
"[[[SENSE_h_0,0, SENSE_h_0,1, SENSE_h_0,2, SENSE_h_0,3, SENSE_h_0,4, SENSE_h_0,5, SENSE_h_0,6], [SENSE_h_1,0, SENSE_h_1,1, SENSE_h_1,2, SENSE_h_1,3, SENSE_h_1,4, SENSE_h_1,5, SENSE_h_1,6], [SENSE_h_2,0, SENSE_h_2,1, SENSE_h_2,2, SENSE_h_2,3, SENSE_h_2,4, SENSE_h_2,5, SENSE_h_2,6], [SENSE_h_3,0, SENSE_h_3,1, SENSE_h_3,2, SENSE_h_3,3, SENSE_h_3,4, SENSE_h_3,5, SENSE_h_3,6], [SENSE_h_4,0, SENSE_h_4,1, SENSE_h_4,2, SENSE_h_4,3, SENSE_h_4,4, SENSE_h_4,5, SENSE_h_4,6], [SENSE_h_5,0, SENSE_h_5,1, SENSE_h_5,2, SENSE_h_5,3, SENSE_h_5,4, SENSE_h_5,5, SENSE_h_5,6], [SENSE_h_6,0, SENSE_h_6,1, SENSE_h_6,2, SENSE_h_6,3, SENSE_h_6,4, SENSE_h_6,5, SENSE_h_6,6], [SENSE_h_7,0, SENSE_h_7,1, SENSE_h_7,2, SENSE_h_7,3, SENSE_h_7,4, SENSE_h_7,5, SENSE_h_7,6], [SENSE_h_8,0, SENSE_h_8,1, SENSE_h_8,2, SENSE_h_8,3, SENSE_h_8,4, SENSE_h_8,5, SENSE_h_8,6], [SENSE_h_9,0, SENSE_h_9,1, SENSE_h_9,2, SENSE_h_9,3, SENSE_h_9,4, SENSE_h_9,5, SENSE_h_9,6], [SENSE_h_10,0, SENSE_h_10,1, SENSE_h_10,2, SENSE_h_10,3, SENSE_h_10,4, SENSE_h_10,5, SENSE_h_10,6]], [[SENSE_v_0,0, SENSE_v_0,1, SENSE_v_0,2, SENSE_v_0,3, SENSE_v_0,4, SENSE_v_0,5, SENSE_v_0,6, SENSE_v_0,7, SENSE_v_0,8, SENSE_v_0,9, SENSE_v_0,10], [SENSE_v_1,0, SENSE_v_1,1, SENSE_v_1,2, SENSE_v_1,3, SENSE_v_1,4, SENSE_v_1,5, SENSE_v_1,6, SENSE_v_1,7, SENSE_v_1,8, SENSE_v_1,9, SENSE_v_1,10], [SENSE_v_2,0, SENSE_v_2,1, SENSE_v_2,2, SENSE_v_2,3, SENSE_v_2,4, SENSE_v_2,5, SENSE_v_2,6, SENSE_v_2,7, SENSE_v_2,8, SENSE_v_2,9, SENSE_v_2,10], [SENSE_v_3,0, SENSE_v_3,1, SENSE_v_3,2, SENSE_v_3,3, SENSE_v_3,4, SENSE_v_3,5, SENSE_v_3,6, SENSE_v_3,7, SENSE_v_3,8, SENSE_v_3,9, SENSE_v_3,10], [SENSE_v_4,0, SENSE_v_4,1, SENSE_v_4,2, SENSE_v_4,3, SENSE_v_4,4, SENSE_v_4,5, SENSE_v_4,6, SENSE_v_4,7, SENSE_v_4,8, SENSE_v_4,9, SENSE_v_4,10], [SENSE_v_5,0, SENSE_v_5,1, SENSE_v_5,2, SENSE_v_5,3, SENSE_v_5,4, SENSE_v_5,5, SENSE_v_5,6, SENSE_v_5,7, SENSE_v_5,8, SENSE_v_5,9, SENSE_v_5,10], [SENSE_v_6,0, SENSE_v_6,1, SENSE_v_6,2, SENSE_v_6,3, SENSE_v_6,4, SENSE_v_6,5, SENSE_v_6,6, SENSE_v_6,7, SENSE_v_6,8, SENSE_v_6,9, SENSE_v_6,10]]]\n",
|
|
"[[[EMMA_h_0,0, EMMA_h_0,1, EMMA_h_0,2, EMMA_h_0,3, EMMA_h_0,4, EMMA_h_0,5, EMMA_h_0,6, EMMA_h_0,7], [EMMA_h_1,0, EMMA_h_1,1, EMMA_h_1,2, EMMA_h_1,3, EMMA_h_1,4, EMMA_h_1,5, EMMA_h_1,6, EMMA_h_1,7], [EMMA_h_2,0, EMMA_h_2,1, EMMA_h_2,2, EMMA_h_2,3, EMMA_h_2,4, EMMA_h_2,5, EMMA_h_2,6, EMMA_h_2,7], [EMMA_h_3,0, EMMA_h_3,1, EMMA_h_3,2, EMMA_h_3,3, EMMA_h_3,4, EMMA_h_3,5, EMMA_h_3,6, EMMA_h_3,7], [EMMA_h_4,0, EMMA_h_4,1, EMMA_h_4,2, EMMA_h_4,3, EMMA_h_4,4, EMMA_h_4,5, EMMA_h_4,6, EMMA_h_4,7], [EMMA_h_5,0, EMMA_h_5,1, EMMA_h_5,2, EMMA_h_5,3, EMMA_h_5,4, EMMA_h_5,5, EMMA_h_5,6, EMMA_h_5,7], [EMMA_h_6,0, EMMA_h_6,1, EMMA_h_6,2, EMMA_h_6,3, EMMA_h_6,4, EMMA_h_6,5, EMMA_h_6,6, EMMA_h_6,7], [EMMA_h_7,0, EMMA_h_7,1, EMMA_h_7,2, EMMA_h_7,3, EMMA_h_7,4, EMMA_h_7,5, EMMA_h_7,6, EMMA_h_7,7], [EMMA_h_8,0, EMMA_h_8,1, EMMA_h_8,2, EMMA_h_8,3, EMMA_h_8,4, EMMA_h_8,5, EMMA_h_8,6, EMMA_h_8,7], [EMMA_h_9,0, EMMA_h_9,1, EMMA_h_9,2, EMMA_h_9,3, EMMA_h_9,4, EMMA_h_9,5, EMMA_h_9,6, EMMA_h_9,7], [EMMA_h_10,0, EMMA_h_10,1, EMMA_h_10,2, EMMA_h_10,3, EMMA_h_10,4, EMMA_h_10,5, EMMA_h_10,6, EMMA_h_10,7]], [[EMMA_v_0,0, EMMA_v_0,1, EMMA_v_0,2, EMMA_v_0,3, EMMA_v_0,4, EMMA_v_0,5, EMMA_v_0,6, EMMA_v_0,7, EMMA_v_0,8, EMMA_v_0,9, EMMA_v_0,10], [EMMA_v_1,0, EMMA_v_1,1, EMMA_v_1,2, EMMA_v_1,3, EMMA_v_1,4, EMMA_v_1,5, EMMA_v_1,6, EMMA_v_1,7, EMMA_v_1,8, EMMA_v_1,9, EMMA_v_1,10], [EMMA_v_2,0, EMMA_v_2,1, EMMA_v_2,2, EMMA_v_2,3, EMMA_v_2,4, EMMA_v_2,5, EMMA_v_2,6, EMMA_v_2,7, EMMA_v_2,8, EMMA_v_2,9, EMMA_v_2,10], [EMMA_v_3,0, EMMA_v_3,1, EMMA_v_3,2, EMMA_v_3,3, EMMA_v_3,4, EMMA_v_3,5, EMMA_v_3,6, EMMA_v_3,7, EMMA_v_3,8, EMMA_v_3,9, EMMA_v_3,10], [EMMA_v_4,0, EMMA_v_4,1, EMMA_v_4,2, EMMA_v_4,3, EMMA_v_4,4, EMMA_v_4,5, EMMA_v_4,6, EMMA_v_4,7, EMMA_v_4,8, EMMA_v_4,9, EMMA_v_4,10], [EMMA_v_5,0, EMMA_v_5,1, EMMA_v_5,2, EMMA_v_5,3, EMMA_v_5,4, EMMA_v_5,5, EMMA_v_5,6, EMMA_v_5,7, EMMA_v_5,8, EMMA_v_5,9, EMMA_v_5,10], [EMMA_v_6,0, EMMA_v_6,1, EMMA_v_6,2, EMMA_v_6,3, EMMA_v_6,4, EMMA_v_6,5, EMMA_v_6,6, EMMA_v_6,7, EMMA_v_6,8, EMMA_v_6,9, EMMA_v_6,10], [EMMA_v_7,0, EMMA_v_7,1, EMMA_v_7,2, EMMA_v_7,3, EMMA_v_7,4, EMMA_v_7,5, EMMA_v_7,6, EMMA_v_7,7, EMMA_v_7,8, EMMA_v_7,9, EMMA_v_7,10]]]\n",
|
|
"[[[ESTATE_h_0,0, ESTATE_h_0,1, ESTATE_h_0,2, ESTATE_h_0,3, ESTATE_h_0,4, ESTATE_h_0,5], [ESTATE_h_1,0, ESTATE_h_1,1, ESTATE_h_1,2, ESTATE_h_1,3, ESTATE_h_1,4, ESTATE_h_1,5], [ESTATE_h_2,0, ESTATE_h_2,1, ESTATE_h_2,2, ESTATE_h_2,3, ESTATE_h_2,4, ESTATE_h_2,5], [ESTATE_h_3,0, ESTATE_h_3,1, ESTATE_h_3,2, ESTATE_h_3,3, ESTATE_h_3,4, ESTATE_h_3,5], [ESTATE_h_4,0, ESTATE_h_4,1, ESTATE_h_4,2, ESTATE_h_4,3, ESTATE_h_4,4, ESTATE_h_4,5], [ESTATE_h_5,0, ESTATE_h_5,1, ESTATE_h_5,2, ESTATE_h_5,3, ESTATE_h_5,4, ESTATE_h_5,5], [ESTATE_h_6,0, ESTATE_h_6,1, ESTATE_h_6,2, ESTATE_h_6,3, ESTATE_h_6,4, ESTATE_h_6,5], [ESTATE_h_7,0, ESTATE_h_7,1, ESTATE_h_7,2, ESTATE_h_7,3, ESTATE_h_7,4, ESTATE_h_7,5], [ESTATE_h_8,0, ESTATE_h_8,1, ESTATE_h_8,2, ESTATE_h_8,3, ESTATE_h_8,4, ESTATE_h_8,5], [ESTATE_h_9,0, ESTATE_h_9,1, ESTATE_h_9,2, ESTATE_h_9,3, ESTATE_h_9,4, ESTATE_h_9,5], [ESTATE_h_10,0, ESTATE_h_10,1, ESTATE_h_10,2, ESTATE_h_10,3, ESTATE_h_10,4, ESTATE_h_10,5]], [[ESTATE_v_0,0, ESTATE_v_0,1, ESTATE_v_0,2, ESTATE_v_0,3, ESTATE_v_0,4, ESTATE_v_0,5, ESTATE_v_0,6, ESTATE_v_0,7, ESTATE_v_0,8, ESTATE_v_0,9, ESTATE_v_0,10], [ESTATE_v_1,0, ESTATE_v_1,1, ESTATE_v_1,2, ESTATE_v_1,3, ESTATE_v_1,4, ESTATE_v_1,5, ESTATE_v_1,6, ESTATE_v_1,7, ESTATE_v_1,8, ESTATE_v_1,9, ESTATE_v_1,10], [ESTATE_v_2,0, ESTATE_v_2,1, ESTATE_v_2,2, ESTATE_v_2,3, ESTATE_v_2,4, ESTATE_v_2,5, ESTATE_v_2,6, ESTATE_v_2,7, ESTATE_v_2,8, ESTATE_v_2,9, ESTATE_v_2,10], [ESTATE_v_3,0, ESTATE_v_3,1, ESTATE_v_3,2, ESTATE_v_3,3, ESTATE_v_3,4, ESTATE_v_3,5, ESTATE_v_3,6, ESTATE_v_3,7, ESTATE_v_3,8, ESTATE_v_3,9, ESTATE_v_3,10], [ESTATE_v_4,0, ESTATE_v_4,1, ESTATE_v_4,2, ESTATE_v_4,3, ESTATE_v_4,4, ESTATE_v_4,5, ESTATE_v_4,6, ESTATE_v_4,7, ESTATE_v_4,8, ESTATE_v_4,9, ESTATE_v_4,10], [ESTATE_v_5,0, ESTATE_v_5,1, ESTATE_v_5,2, ESTATE_v_5,3, ESTATE_v_5,4, ESTATE_v_5,5, ESTATE_v_5,6, ESTATE_v_5,7, ESTATE_v_5,8, ESTATE_v_5,9, ESTATE_v_5,10]]]\n",
|
|
"[[[BENNET_h_0,0, BENNET_h_0,1, BENNET_h_0,2, BENNET_h_0,3, BENNET_h_0,4, BENNET_h_0,5], [BENNET_h_1,0, BENNET_h_1,1, BENNET_h_1,2, BENNET_h_1,3, BENNET_h_1,4, BENNET_h_1,5], [BENNET_h_2,0, BENNET_h_2,1, BENNET_h_2,2, BENNET_h_2,3, BENNET_h_2,4, BENNET_h_2,5], [BENNET_h_3,0, BENNET_h_3,1, BENNET_h_3,2, BENNET_h_3,3, BENNET_h_3,4, BENNET_h_3,5], [BENNET_h_4,0, BENNET_h_4,1, BENNET_h_4,2, BENNET_h_4,3, BENNET_h_4,4, BENNET_h_4,5], [BENNET_h_5,0, BENNET_h_5,1, BENNET_h_5,2, BENNET_h_5,3, BENNET_h_5,4, BENNET_h_5,5], [BENNET_h_6,0, BENNET_h_6,1, BENNET_h_6,2, BENNET_h_6,3, BENNET_h_6,4, BENNET_h_6,5], [BENNET_h_7,0, BENNET_h_7,1, BENNET_h_7,2, BENNET_h_7,3, BENNET_h_7,4, BENNET_h_7,5], [BENNET_h_8,0, BENNET_h_8,1, BENNET_h_8,2, BENNET_h_8,3, BENNET_h_8,4, BENNET_h_8,5], [BENNET_h_9,0, BENNET_h_9,1, BENNET_h_9,2, BENNET_h_9,3, BENNET_h_9,4, BENNET_h_9,5], [BENNET_h_10,0, BENNET_h_10,1, BENNET_h_10,2, BENNET_h_10,3, BENNET_h_10,4, BENNET_h_10,5]], [[BENNET_v_0,0, BENNET_v_0,1, BENNET_v_0,2, BENNET_v_0,3, BENNET_v_0,4, BENNET_v_0,5, BENNET_v_0,6, BENNET_v_0,7, BENNET_v_0,8, BENNET_v_0,9, BENNET_v_0,10], [BENNET_v_1,0, BENNET_v_1,1, BENNET_v_1,2, BENNET_v_1,3, BENNET_v_1,4, BENNET_v_1,5, BENNET_v_1,6, BENNET_v_1,7, BENNET_v_1,8, BENNET_v_1,9, BENNET_v_1,10], [BENNET_v_2,0, BENNET_v_2,1, BENNET_v_2,2, BENNET_v_2,3, BENNET_v_2,4, BENNET_v_2,5, BENNET_v_2,6, BENNET_v_2,7, BENNET_v_2,8, BENNET_v_2,9, BENNET_v_2,10], [BENNET_v_3,0, BENNET_v_3,1, BENNET_v_3,2, BENNET_v_3,3, BENNET_v_3,4, BENNET_v_3,5, BENNET_v_3,6, BENNET_v_3,7, BENNET_v_3,8, BENNET_v_3,9, BENNET_v_3,10], [BENNET_v_4,0, BENNET_v_4,1, BENNET_v_4,2, BENNET_v_4,3, BENNET_v_4,4, BENNET_v_4,5, BENNET_v_4,6, BENNET_v_4,7, BENNET_v_4,8, BENNET_v_4,9, BENNET_v_4,10], [BENNET_v_5,0, BENNET_v_5,1, BENNET_v_5,2, BENNET_v_5,3, BENNET_v_5,4, BENNET_v_5,5, BENNET_v_5,6, BENNET_v_5,7, BENNET_v_5,8, BENNET_v_5,9, BENNET_v_5,10]]]\n",
|
|
"[[[BATH_h_0,0, BATH_h_0,1, BATH_h_0,2, BATH_h_0,3, BATH_h_0,4, BATH_h_0,5, BATH_h_0,6, BATH_h_0,7], [BATH_h_1,0, BATH_h_1,1, BATH_h_1,2, BATH_h_1,3, BATH_h_1,4, BATH_h_1,5, BATH_h_1,6, BATH_h_1,7], [BATH_h_2,0, BATH_h_2,1, BATH_h_2,2, BATH_h_2,3, BATH_h_2,4, BATH_h_2,5, BATH_h_2,6, BATH_h_2,7], [BATH_h_3,0, BATH_h_3,1, BATH_h_3,2, BATH_h_3,3, BATH_h_3,4, BATH_h_3,5, BATH_h_3,6, BATH_h_3,7], [BATH_h_4,0, BATH_h_4,1, BATH_h_4,2, BATH_h_4,3, BATH_h_4,4, BATH_h_4,5, BATH_h_4,6, BATH_h_4,7], [BATH_h_5,0, BATH_h_5,1, BATH_h_5,2, BATH_h_5,3, BATH_h_5,4, BATH_h_5,5, BATH_h_5,6, BATH_h_5,7], [BATH_h_6,0, BATH_h_6,1, BATH_h_6,2, BATH_h_6,3, BATH_h_6,4, BATH_h_6,5, BATH_h_6,6, BATH_h_6,7], [BATH_h_7,0, BATH_h_7,1, BATH_h_7,2, BATH_h_7,3, BATH_h_7,4, BATH_h_7,5, BATH_h_7,6, BATH_h_7,7], [BATH_h_8,0, BATH_h_8,1, BATH_h_8,2, BATH_h_8,3, BATH_h_8,4, BATH_h_8,5, BATH_h_8,6, BATH_h_8,7], [BATH_h_9,0, BATH_h_9,1, BATH_h_9,2, BATH_h_9,3, BATH_h_9,4, BATH_h_9,5, BATH_h_9,6, BATH_h_9,7], [BATH_h_10,0, BATH_h_10,1, BATH_h_10,2, BATH_h_10,3, BATH_h_10,4, BATH_h_10,5, BATH_h_10,6, BATH_h_10,7]], [[BATH_v_0,0, BATH_v_0,1, BATH_v_0,2, BATH_v_0,3, BATH_v_0,4, BATH_v_0,5, BATH_v_0,6, BATH_v_0,7, BATH_v_0,8, BATH_v_0,9, BATH_v_0,10], [BATH_v_1,0, BATH_v_1,1, BATH_v_1,2, BATH_v_1,3, BATH_v_1,4, BATH_v_1,5, BATH_v_1,6, BATH_v_1,7, BATH_v_1,8, BATH_v_1,9, BATH_v_1,10], [BATH_v_2,0, BATH_v_2,1, BATH_v_2,2, BATH_v_2,3, BATH_v_2,4, BATH_v_2,5, BATH_v_2,6, BATH_v_2,7, BATH_v_2,8, BATH_v_2,9, BATH_v_2,10], [BATH_v_3,0, BATH_v_3,1, BATH_v_3,2, BATH_v_3,3, BATH_v_3,4, BATH_v_3,5, BATH_v_3,6, BATH_v_3,7, BATH_v_3,8, BATH_v_3,9, BATH_v_3,10], [BATH_v_4,0, BATH_v_4,1, BATH_v_4,2, BATH_v_4,3, BATH_v_4,4, BATH_v_4,5, BATH_v_4,6, BATH_v_4,7, BATH_v_4,8, BATH_v_4,9, BATH_v_4,10], [BATH_v_5,0, BATH_v_5,1, BATH_v_5,2, BATH_v_5,3, BATH_v_5,4, BATH_v_5,5, BATH_v_5,6, BATH_v_5,7, BATH_v_5,8, BATH_v_5,9, BATH_v_5,10], [BATH_v_6,0, BATH_v_6,1, BATH_v_6,2, BATH_v_6,3, BATH_v_6,4, BATH_v_6,5, BATH_v_6,6, BATH_v_6,7, BATH_v_6,8, BATH_v_6,9, BATH_v_6,10], [BATH_v_7,0, BATH_v_7,1, BATH_v_7,2, BATH_v_7,3, BATH_v_7,4, BATH_v_7,5, BATH_v_7,6, BATH_v_7,7, BATH_v_7,8, BATH_v_7,9, BATH_v_7,10]]]\n",
|
|
"Executed in 1.9492 seconds\n",
|
|
"sat\n",
|
|
"╔═╤═╤═╤═╤═╤═╤═╤═╤═╤═╤═╗\n",
|
|
"║█│█│█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█│█│█║\n",
|
|
"╚═╧═╧═╧═╧═╧═╧═╧═╧═╧═╧═╝\n"
|
|
]
|
|
}
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"# Now let's see what the smallest grid we can fit this in is. The longest word is 6 letters, so can't be shorter than this\n",
|
|
"solve_crossword(words, 10, add_constraint_set1, add_constraint_set2, add_constraint_set3, add_constraint_set4)\n",
|
|
"solve_crossword(words, 9, add_constraint_set1, add_constraint_set2, add_constraint_set3, add_constraint_set4)\n",
|
|
"solve_crossword(words, 8, add_constraint_set1, add_constraint_set2, add_constraint_set3, add_constraint_set4)\n",
|
|
"solve_crossword(words, 7, add_constraint_set1, add_constraint_set2, add_constraint_set3, add_constraint_set4)\n",
|
|
"solve_crossword(words, 6, add_constraint_set1, add_constraint_set2, add_constraint_set3, add_constraint_set4)"
|
|
],
|
|
"metadata": {
|
|
"colab": {
|
|
"base_uri": "https://localhost:8080/"
|
|
},
|
|
"id": "OFLdFlaP6g7L",
|
|
"outputId": "15710d99-0086-4016-807d-cf63912265e3"
|
|
},
|
|
"execution_count": 34,
|
|
"outputs": [
|
|
{
|
|
"output_type": "stream",
|
|
"name": "stdout",
|
|
"text": [
|
|
"[[[JANE_h_0,0, JANE_h_0,1, JANE_h_0,2, JANE_h_0,3, JANE_h_0,4, JANE_h_0,5, JANE_h_0,6], [JANE_h_1,0, JANE_h_1,1, JANE_h_1,2, JANE_h_1,3, JANE_h_1,4, JANE_h_1,5, JANE_h_1,6], [JANE_h_2,0, JANE_h_2,1, JANE_h_2,2, JANE_h_2,3, JANE_h_2,4, JANE_h_2,5, JANE_h_2,6], [JANE_h_3,0, JANE_h_3,1, JANE_h_3,2, JANE_h_3,3, JANE_h_3,4, JANE_h_3,5, JANE_h_3,6], [JANE_h_4,0, JANE_h_4,1, JANE_h_4,2, JANE_h_4,3, JANE_h_4,4, JANE_h_4,5, JANE_h_4,6], [JANE_h_5,0, JANE_h_5,1, JANE_h_5,2, JANE_h_5,3, JANE_h_5,4, JANE_h_5,5, JANE_h_5,6], [JANE_h_6,0, JANE_h_6,1, JANE_h_6,2, JANE_h_6,3, JANE_h_6,4, JANE_h_6,5, JANE_h_6,6], [JANE_h_7,0, JANE_h_7,1, JANE_h_7,2, JANE_h_7,3, JANE_h_7,4, JANE_h_7,5, JANE_h_7,6], [JANE_h_8,0, JANE_h_8,1, JANE_h_8,2, JANE_h_8,3, JANE_h_8,4, JANE_h_8,5, JANE_h_8,6], [JANE_h_9,0, JANE_h_9,1, JANE_h_9,2, JANE_h_9,3, JANE_h_9,4, JANE_h_9,5, JANE_h_9,6]], [[JANE_v_0,0, JANE_v_0,1, JANE_v_0,2, JANE_v_0,3, JANE_v_0,4, JANE_v_0,5, JANE_v_0,6, JANE_v_0,7, JANE_v_0,8, JANE_v_0,9], [JANE_v_1,0, JANE_v_1,1, JANE_v_1,2, JANE_v_1,3, JANE_v_1,4, JANE_v_1,5, JANE_v_1,6, JANE_v_1,7, JANE_v_1,8, JANE_v_1,9], [JANE_v_2,0, JANE_v_2,1, JANE_v_2,2, JANE_v_2,3, JANE_v_2,4, JANE_v_2,5, JANE_v_2,6, JANE_v_2,7, JANE_v_2,8, JANE_v_2,9], [JANE_v_3,0, JANE_v_3,1, JANE_v_3,2, JANE_v_3,3, JANE_v_3,4, JANE_v_3,5, JANE_v_3,6, JANE_v_3,7, JANE_v_3,8, JANE_v_3,9], [JANE_v_4,0, JANE_v_4,1, JANE_v_4,2, JANE_v_4,3, JANE_v_4,4, JANE_v_4,5, JANE_v_4,6, JANE_v_4,7, JANE_v_4,8, JANE_v_4,9], [JANE_v_5,0, JANE_v_5,1, JANE_v_5,2, JANE_v_5,3, JANE_v_5,4, JANE_v_5,5, JANE_v_5,6, JANE_v_5,7, JANE_v_5,8, JANE_v_5,9], [JANE_v_6,0, JANE_v_6,1, JANE_v_6,2, JANE_v_6,3, JANE_v_6,4, JANE_v_6,5, JANE_v_6,6, JANE_v_6,7, JANE_v_6,8, JANE_v_6,9]]]\n",
|
|
"[[[AUSTEN_h_0,0, AUSTEN_h_0,1, AUSTEN_h_0,2, AUSTEN_h_0,3, AUSTEN_h_0,4], [AUSTEN_h_1,0, AUSTEN_h_1,1, AUSTEN_h_1,2, AUSTEN_h_1,3, AUSTEN_h_1,4], [AUSTEN_h_2,0, AUSTEN_h_2,1, AUSTEN_h_2,2, AUSTEN_h_2,3, AUSTEN_h_2,4], [AUSTEN_h_3,0, AUSTEN_h_3,1, AUSTEN_h_3,2, AUSTEN_h_3,3, AUSTEN_h_3,4], [AUSTEN_h_4,0, AUSTEN_h_4,1, AUSTEN_h_4,2, AUSTEN_h_4,3, AUSTEN_h_4,4], [AUSTEN_h_5,0, AUSTEN_h_5,1, AUSTEN_h_5,2, AUSTEN_h_5,3, AUSTEN_h_5,4], [AUSTEN_h_6,0, AUSTEN_h_6,1, AUSTEN_h_6,2, AUSTEN_h_6,3, AUSTEN_h_6,4], [AUSTEN_h_7,0, AUSTEN_h_7,1, AUSTEN_h_7,2, AUSTEN_h_7,3, AUSTEN_h_7,4], [AUSTEN_h_8,0, AUSTEN_h_8,1, AUSTEN_h_8,2, AUSTEN_h_8,3, AUSTEN_h_8,4], [AUSTEN_h_9,0, AUSTEN_h_9,1, AUSTEN_h_9,2, AUSTEN_h_9,3, AUSTEN_h_9,4]], [[AUSTEN_v_0,0, AUSTEN_v_0,1, AUSTEN_v_0,2, AUSTEN_v_0,3, AUSTEN_v_0,4, AUSTEN_v_0,5, AUSTEN_v_0,6, AUSTEN_v_0,7, AUSTEN_v_0,8, AUSTEN_v_0,9], [AUSTEN_v_1,0, AUSTEN_v_1,1, AUSTEN_v_1,2, AUSTEN_v_1,3, AUSTEN_v_1,4, AUSTEN_v_1,5, AUSTEN_v_1,6, AUSTEN_v_1,7, AUSTEN_v_1,8, AUSTEN_v_1,9], [AUSTEN_v_2,0, AUSTEN_v_2,1, AUSTEN_v_2,2, AUSTEN_v_2,3, AUSTEN_v_2,4, AUSTEN_v_2,5, AUSTEN_v_2,6, AUSTEN_v_2,7, AUSTEN_v_2,8, AUSTEN_v_2,9], [AUSTEN_v_3,0, AUSTEN_v_3,1, AUSTEN_v_3,2, AUSTEN_v_3,3, AUSTEN_v_3,4, AUSTEN_v_3,5, AUSTEN_v_3,6, AUSTEN_v_3,7, AUSTEN_v_3,8, AUSTEN_v_3,9], [AUSTEN_v_4,0, AUSTEN_v_4,1, AUSTEN_v_4,2, AUSTEN_v_4,3, AUSTEN_v_4,4, AUSTEN_v_4,5, AUSTEN_v_4,6, AUSTEN_v_4,7, AUSTEN_v_4,8, AUSTEN_v_4,9]]]\n",
|
|
"[[[PRIDE_h_0,0, PRIDE_h_0,1, PRIDE_h_0,2, PRIDE_h_0,3, PRIDE_h_0,4, PRIDE_h_0,5], [PRIDE_h_1,0, PRIDE_h_1,1, PRIDE_h_1,2, PRIDE_h_1,3, PRIDE_h_1,4, PRIDE_h_1,5], [PRIDE_h_2,0, PRIDE_h_2,1, PRIDE_h_2,2, PRIDE_h_2,3, PRIDE_h_2,4, PRIDE_h_2,5], [PRIDE_h_3,0, PRIDE_h_3,1, PRIDE_h_3,2, PRIDE_h_3,3, PRIDE_h_3,4, PRIDE_h_3,5], [PRIDE_h_4,0, PRIDE_h_4,1, PRIDE_h_4,2, PRIDE_h_4,3, PRIDE_h_4,4, PRIDE_h_4,5], [PRIDE_h_5,0, PRIDE_h_5,1, PRIDE_h_5,2, PRIDE_h_5,3, PRIDE_h_5,4, PRIDE_h_5,5], [PRIDE_h_6,0, PRIDE_h_6,1, PRIDE_h_6,2, PRIDE_h_6,3, PRIDE_h_6,4, PRIDE_h_6,5], [PRIDE_h_7,0, PRIDE_h_7,1, PRIDE_h_7,2, PRIDE_h_7,3, PRIDE_h_7,4, PRIDE_h_7,5], [PRIDE_h_8,0, PRIDE_h_8,1, PRIDE_h_8,2, PRIDE_h_8,3, PRIDE_h_8,4, PRIDE_h_8,5], [PRIDE_h_9,0, PRIDE_h_9,1, PRIDE_h_9,2, PRIDE_h_9,3, PRIDE_h_9,4, PRIDE_h_9,5]], [[PRIDE_v_0,0, PRIDE_v_0,1, PRIDE_v_0,2, PRIDE_v_0,3, PRIDE_v_0,4, PRIDE_v_0,5, PRIDE_v_0,6, PRIDE_v_0,7, PRIDE_v_0,8, PRIDE_v_0,9], [PRIDE_v_1,0, PRIDE_v_1,1, PRIDE_v_1,2, PRIDE_v_1,3, PRIDE_v_1,4, PRIDE_v_1,5, PRIDE_v_1,6, PRIDE_v_1,7, PRIDE_v_1,8, PRIDE_v_1,9], [PRIDE_v_2,0, PRIDE_v_2,1, PRIDE_v_2,2, PRIDE_v_2,3, PRIDE_v_2,4, PRIDE_v_2,5, PRIDE_v_2,6, PRIDE_v_2,7, PRIDE_v_2,8, PRIDE_v_2,9], [PRIDE_v_3,0, PRIDE_v_3,1, PRIDE_v_3,2, PRIDE_v_3,3, PRIDE_v_3,4, PRIDE_v_3,5, PRIDE_v_3,6, PRIDE_v_3,7, PRIDE_v_3,8, PRIDE_v_3,9], [PRIDE_v_4,0, PRIDE_v_4,1, PRIDE_v_4,2, PRIDE_v_4,3, PRIDE_v_4,4, PRIDE_v_4,5, PRIDE_v_4,6, PRIDE_v_4,7, PRIDE_v_4,8, PRIDE_v_4,9], [PRIDE_v_5,0, PRIDE_v_5,1, PRIDE_v_5,2, PRIDE_v_5,3, PRIDE_v_5,4, PRIDE_v_5,5, PRIDE_v_5,6, PRIDE_v_5,7, PRIDE_v_5,8, PRIDE_v_5,9]]]\n",
|
|
"[[[NOVEL_h_0,0, NOVEL_h_0,1, NOVEL_h_0,2, NOVEL_h_0,3, NOVEL_h_0,4, NOVEL_h_0,5], [NOVEL_h_1,0, NOVEL_h_1,1, NOVEL_h_1,2, NOVEL_h_1,3, NOVEL_h_1,4, NOVEL_h_1,5], [NOVEL_h_2,0, NOVEL_h_2,1, NOVEL_h_2,2, NOVEL_h_2,3, NOVEL_h_2,4, NOVEL_h_2,5], [NOVEL_h_3,0, NOVEL_h_3,1, NOVEL_h_3,2, NOVEL_h_3,3, NOVEL_h_3,4, NOVEL_h_3,5], [NOVEL_h_4,0, NOVEL_h_4,1, NOVEL_h_4,2, NOVEL_h_4,3, NOVEL_h_4,4, NOVEL_h_4,5], [NOVEL_h_5,0, NOVEL_h_5,1, NOVEL_h_5,2, NOVEL_h_5,3, NOVEL_h_5,4, NOVEL_h_5,5], [NOVEL_h_6,0, NOVEL_h_6,1, NOVEL_h_6,2, NOVEL_h_6,3, NOVEL_h_6,4, NOVEL_h_6,5], [NOVEL_h_7,0, NOVEL_h_7,1, NOVEL_h_7,2, NOVEL_h_7,3, NOVEL_h_7,4, NOVEL_h_7,5], [NOVEL_h_8,0, NOVEL_h_8,1, NOVEL_h_8,2, NOVEL_h_8,3, NOVEL_h_8,4, NOVEL_h_8,5], [NOVEL_h_9,0, NOVEL_h_9,1, NOVEL_h_9,2, NOVEL_h_9,3, NOVEL_h_9,4, NOVEL_h_9,5]], [[NOVEL_v_0,0, NOVEL_v_0,1, NOVEL_v_0,2, NOVEL_v_0,3, NOVEL_v_0,4, NOVEL_v_0,5, NOVEL_v_0,6, NOVEL_v_0,7, NOVEL_v_0,8, NOVEL_v_0,9], [NOVEL_v_1,0, NOVEL_v_1,1, NOVEL_v_1,2, NOVEL_v_1,3, NOVEL_v_1,4, NOVEL_v_1,5, NOVEL_v_1,6, NOVEL_v_1,7, NOVEL_v_1,8, NOVEL_v_1,9], [NOVEL_v_2,0, NOVEL_v_2,1, NOVEL_v_2,2, NOVEL_v_2,3, NOVEL_v_2,4, NOVEL_v_2,5, NOVEL_v_2,6, NOVEL_v_2,7, NOVEL_v_2,8, NOVEL_v_2,9], [NOVEL_v_3,0, NOVEL_v_3,1, NOVEL_v_3,2, NOVEL_v_3,3, NOVEL_v_3,4, NOVEL_v_3,5, NOVEL_v_3,6, NOVEL_v_3,7, NOVEL_v_3,8, NOVEL_v_3,9], [NOVEL_v_4,0, NOVEL_v_4,1, NOVEL_v_4,2, NOVEL_v_4,3, NOVEL_v_4,4, NOVEL_v_4,5, NOVEL_v_4,6, NOVEL_v_4,7, NOVEL_v_4,8, NOVEL_v_4,9], [NOVEL_v_5,0, NOVEL_v_5,1, NOVEL_v_5,2, NOVEL_v_5,3, NOVEL_v_5,4, NOVEL_v_5,5, NOVEL_v_5,6, NOVEL_v_5,7, NOVEL_v_5,8, NOVEL_v_5,9]]]\n",
|
|
"[[[DARCY_h_0,0, DARCY_h_0,1, DARCY_h_0,2, DARCY_h_0,3, DARCY_h_0,4, DARCY_h_0,5], [DARCY_h_1,0, DARCY_h_1,1, DARCY_h_1,2, DARCY_h_1,3, DARCY_h_1,4, DARCY_h_1,5], [DARCY_h_2,0, DARCY_h_2,1, DARCY_h_2,2, DARCY_h_2,3, DARCY_h_2,4, DARCY_h_2,5], [DARCY_h_3,0, DARCY_h_3,1, DARCY_h_3,2, DARCY_h_3,3, DARCY_h_3,4, DARCY_h_3,5], [DARCY_h_4,0, DARCY_h_4,1, DARCY_h_4,2, DARCY_h_4,3, DARCY_h_4,4, DARCY_h_4,5], [DARCY_h_5,0, DARCY_h_5,1, DARCY_h_5,2, DARCY_h_5,3, DARCY_h_5,4, DARCY_h_5,5], [DARCY_h_6,0, DARCY_h_6,1, DARCY_h_6,2, DARCY_h_6,3, DARCY_h_6,4, DARCY_h_6,5], [DARCY_h_7,0, DARCY_h_7,1, DARCY_h_7,2, DARCY_h_7,3, DARCY_h_7,4, DARCY_h_7,5], [DARCY_h_8,0, DARCY_h_8,1, DARCY_h_8,2, DARCY_h_8,3, DARCY_h_8,4, DARCY_h_8,5], [DARCY_h_9,0, DARCY_h_9,1, DARCY_h_9,2, DARCY_h_9,3, DARCY_h_9,4, DARCY_h_9,5]], [[DARCY_v_0,0, DARCY_v_0,1, DARCY_v_0,2, DARCY_v_0,3, DARCY_v_0,4, DARCY_v_0,5, DARCY_v_0,6, DARCY_v_0,7, DARCY_v_0,8, DARCY_v_0,9], [DARCY_v_1,0, DARCY_v_1,1, DARCY_v_1,2, DARCY_v_1,3, DARCY_v_1,4, DARCY_v_1,5, DARCY_v_1,6, DARCY_v_1,7, DARCY_v_1,8, DARCY_v_1,9], [DARCY_v_2,0, DARCY_v_2,1, DARCY_v_2,2, DARCY_v_2,3, DARCY_v_2,4, DARCY_v_2,5, DARCY_v_2,6, DARCY_v_2,7, DARCY_v_2,8, DARCY_v_2,9], [DARCY_v_3,0, DARCY_v_3,1, DARCY_v_3,2, DARCY_v_3,3, DARCY_v_3,4, DARCY_v_3,5, DARCY_v_3,6, DARCY_v_3,7, DARCY_v_3,8, DARCY_v_3,9], [DARCY_v_4,0, DARCY_v_4,1, DARCY_v_4,2, DARCY_v_4,3, DARCY_v_4,4, DARCY_v_4,5, DARCY_v_4,6, DARCY_v_4,7, DARCY_v_4,8, DARCY_v_4,9], [DARCY_v_5,0, DARCY_v_5,1, DARCY_v_5,2, DARCY_v_5,3, DARCY_v_5,4, DARCY_v_5,5, DARCY_v_5,6, DARCY_v_5,7, DARCY_v_5,8, DARCY_v_5,9]]]\n",
|
|
"[[[SENSE_h_0,0, SENSE_h_0,1, SENSE_h_0,2, SENSE_h_0,3, SENSE_h_0,4, SENSE_h_0,5], [SENSE_h_1,0, SENSE_h_1,1, SENSE_h_1,2, SENSE_h_1,3, SENSE_h_1,4, SENSE_h_1,5], [SENSE_h_2,0, SENSE_h_2,1, SENSE_h_2,2, SENSE_h_2,3, SENSE_h_2,4, SENSE_h_2,5], [SENSE_h_3,0, SENSE_h_3,1, SENSE_h_3,2, SENSE_h_3,3, SENSE_h_3,4, SENSE_h_3,5], [SENSE_h_4,0, SENSE_h_4,1, SENSE_h_4,2, SENSE_h_4,3, SENSE_h_4,4, SENSE_h_4,5], [SENSE_h_5,0, SENSE_h_5,1, SENSE_h_5,2, SENSE_h_5,3, SENSE_h_5,4, SENSE_h_5,5], [SENSE_h_6,0, SENSE_h_6,1, SENSE_h_6,2, SENSE_h_6,3, SENSE_h_6,4, SENSE_h_6,5], [SENSE_h_7,0, SENSE_h_7,1, SENSE_h_7,2, SENSE_h_7,3, SENSE_h_7,4, SENSE_h_7,5], [SENSE_h_8,0, SENSE_h_8,1, SENSE_h_8,2, SENSE_h_8,3, SENSE_h_8,4, SENSE_h_8,5], [SENSE_h_9,0, SENSE_h_9,1, SENSE_h_9,2, SENSE_h_9,3, SENSE_h_9,4, SENSE_h_9,5]], [[SENSE_v_0,0, SENSE_v_0,1, SENSE_v_0,2, SENSE_v_0,3, SENSE_v_0,4, SENSE_v_0,5, SENSE_v_0,6, SENSE_v_0,7, SENSE_v_0,8, SENSE_v_0,9], [SENSE_v_1,0, SENSE_v_1,1, SENSE_v_1,2, SENSE_v_1,3, SENSE_v_1,4, SENSE_v_1,5, SENSE_v_1,6, SENSE_v_1,7, SENSE_v_1,8, SENSE_v_1,9], [SENSE_v_2,0, SENSE_v_2,1, SENSE_v_2,2, SENSE_v_2,3, SENSE_v_2,4, SENSE_v_2,5, SENSE_v_2,6, SENSE_v_2,7, SENSE_v_2,8, SENSE_v_2,9], [SENSE_v_3,0, SENSE_v_3,1, SENSE_v_3,2, SENSE_v_3,3, SENSE_v_3,4, SENSE_v_3,5, SENSE_v_3,6, SENSE_v_3,7, SENSE_v_3,8, SENSE_v_3,9], [SENSE_v_4,0, SENSE_v_4,1, SENSE_v_4,2, SENSE_v_4,3, SENSE_v_4,4, SENSE_v_4,5, SENSE_v_4,6, SENSE_v_4,7, SENSE_v_4,8, SENSE_v_4,9], [SENSE_v_5,0, SENSE_v_5,1, SENSE_v_5,2, SENSE_v_5,3, SENSE_v_5,4, SENSE_v_5,5, SENSE_v_5,6, SENSE_v_5,7, SENSE_v_5,8, SENSE_v_5,9]]]\n",
|
|
"[[[EMMA_h_0,0, EMMA_h_0,1, EMMA_h_0,2, EMMA_h_0,3, EMMA_h_0,4, EMMA_h_0,5, EMMA_h_0,6], [EMMA_h_1,0, EMMA_h_1,1, EMMA_h_1,2, EMMA_h_1,3, EMMA_h_1,4, EMMA_h_1,5, EMMA_h_1,6], [EMMA_h_2,0, EMMA_h_2,1, EMMA_h_2,2, EMMA_h_2,3, EMMA_h_2,4, EMMA_h_2,5, EMMA_h_2,6], [EMMA_h_3,0, EMMA_h_3,1, EMMA_h_3,2, EMMA_h_3,3, EMMA_h_3,4, EMMA_h_3,5, EMMA_h_3,6], [EMMA_h_4,0, EMMA_h_4,1, EMMA_h_4,2, EMMA_h_4,3, EMMA_h_4,4, EMMA_h_4,5, EMMA_h_4,6], [EMMA_h_5,0, EMMA_h_5,1, EMMA_h_5,2, EMMA_h_5,3, EMMA_h_5,4, EMMA_h_5,5, EMMA_h_5,6], [EMMA_h_6,0, EMMA_h_6,1, EMMA_h_6,2, EMMA_h_6,3, EMMA_h_6,4, EMMA_h_6,5, EMMA_h_6,6], [EMMA_h_7,0, EMMA_h_7,1, EMMA_h_7,2, EMMA_h_7,3, EMMA_h_7,4, EMMA_h_7,5, EMMA_h_7,6], [EMMA_h_8,0, EMMA_h_8,1, EMMA_h_8,2, EMMA_h_8,3, EMMA_h_8,4, EMMA_h_8,5, EMMA_h_8,6], [EMMA_h_9,0, EMMA_h_9,1, EMMA_h_9,2, EMMA_h_9,3, EMMA_h_9,4, EMMA_h_9,5, EMMA_h_9,6]], [[EMMA_v_0,0, EMMA_v_0,1, EMMA_v_0,2, EMMA_v_0,3, EMMA_v_0,4, EMMA_v_0,5, EMMA_v_0,6, EMMA_v_0,7, EMMA_v_0,8, EMMA_v_0,9], [EMMA_v_1,0, EMMA_v_1,1, EMMA_v_1,2, EMMA_v_1,3, EMMA_v_1,4, EMMA_v_1,5, EMMA_v_1,6, EMMA_v_1,7, EMMA_v_1,8, EMMA_v_1,9], [EMMA_v_2,0, EMMA_v_2,1, EMMA_v_2,2, EMMA_v_2,3, EMMA_v_2,4, EMMA_v_2,5, EMMA_v_2,6, EMMA_v_2,7, EMMA_v_2,8, EMMA_v_2,9], [EMMA_v_3,0, EMMA_v_3,1, EMMA_v_3,2, EMMA_v_3,3, EMMA_v_3,4, EMMA_v_3,5, EMMA_v_3,6, EMMA_v_3,7, EMMA_v_3,8, EMMA_v_3,9], [EMMA_v_4,0, EMMA_v_4,1, EMMA_v_4,2, EMMA_v_4,3, EMMA_v_4,4, EMMA_v_4,5, EMMA_v_4,6, EMMA_v_4,7, EMMA_v_4,8, EMMA_v_4,9], [EMMA_v_5,0, EMMA_v_5,1, EMMA_v_5,2, EMMA_v_5,3, EMMA_v_5,4, EMMA_v_5,5, EMMA_v_5,6, EMMA_v_5,7, EMMA_v_5,8, EMMA_v_5,9], [EMMA_v_6,0, EMMA_v_6,1, EMMA_v_6,2, EMMA_v_6,3, EMMA_v_6,4, EMMA_v_6,5, EMMA_v_6,6, EMMA_v_6,7, EMMA_v_6,8, EMMA_v_6,9]]]\n",
|
|
"[[[ESTATE_h_0,0, ESTATE_h_0,1, ESTATE_h_0,2, ESTATE_h_0,3, ESTATE_h_0,4], [ESTATE_h_1,0, ESTATE_h_1,1, ESTATE_h_1,2, ESTATE_h_1,3, ESTATE_h_1,4], [ESTATE_h_2,0, ESTATE_h_2,1, ESTATE_h_2,2, ESTATE_h_2,3, ESTATE_h_2,4], [ESTATE_h_3,0, ESTATE_h_3,1, ESTATE_h_3,2, ESTATE_h_3,3, ESTATE_h_3,4], [ESTATE_h_4,0, ESTATE_h_4,1, ESTATE_h_4,2, ESTATE_h_4,3, ESTATE_h_4,4], [ESTATE_h_5,0, ESTATE_h_5,1, ESTATE_h_5,2, ESTATE_h_5,3, ESTATE_h_5,4], [ESTATE_h_6,0, ESTATE_h_6,1, ESTATE_h_6,2, ESTATE_h_6,3, ESTATE_h_6,4], [ESTATE_h_7,0, ESTATE_h_7,1, ESTATE_h_7,2, ESTATE_h_7,3, ESTATE_h_7,4], [ESTATE_h_8,0, ESTATE_h_8,1, ESTATE_h_8,2, ESTATE_h_8,3, ESTATE_h_8,4], [ESTATE_h_9,0, ESTATE_h_9,1, ESTATE_h_9,2, ESTATE_h_9,3, ESTATE_h_9,4]], [[ESTATE_v_0,0, ESTATE_v_0,1, ESTATE_v_0,2, ESTATE_v_0,3, ESTATE_v_0,4, ESTATE_v_0,5, ESTATE_v_0,6, ESTATE_v_0,7, ESTATE_v_0,8, ESTATE_v_0,9], [ESTATE_v_1,0, ESTATE_v_1,1, ESTATE_v_1,2, ESTATE_v_1,3, ESTATE_v_1,4, ESTATE_v_1,5, ESTATE_v_1,6, ESTATE_v_1,7, ESTATE_v_1,8, ESTATE_v_1,9], [ESTATE_v_2,0, ESTATE_v_2,1, ESTATE_v_2,2, ESTATE_v_2,3, ESTATE_v_2,4, ESTATE_v_2,5, ESTATE_v_2,6, ESTATE_v_2,7, ESTATE_v_2,8, ESTATE_v_2,9], [ESTATE_v_3,0, ESTATE_v_3,1, ESTATE_v_3,2, ESTATE_v_3,3, ESTATE_v_3,4, ESTATE_v_3,5, ESTATE_v_3,6, ESTATE_v_3,7, ESTATE_v_3,8, ESTATE_v_3,9], [ESTATE_v_4,0, ESTATE_v_4,1, ESTATE_v_4,2, ESTATE_v_4,3, ESTATE_v_4,4, ESTATE_v_4,5, ESTATE_v_4,6, ESTATE_v_4,7, ESTATE_v_4,8, ESTATE_v_4,9]]]\n",
|
|
"[[[BENNET_h_0,0, BENNET_h_0,1, BENNET_h_0,2, BENNET_h_0,3, BENNET_h_0,4], [BENNET_h_1,0, BENNET_h_1,1, BENNET_h_1,2, BENNET_h_1,3, BENNET_h_1,4], [BENNET_h_2,0, BENNET_h_2,1, BENNET_h_2,2, BENNET_h_2,3, BENNET_h_2,4], [BENNET_h_3,0, BENNET_h_3,1, BENNET_h_3,2, BENNET_h_3,3, BENNET_h_3,4], [BENNET_h_4,0, BENNET_h_4,1, BENNET_h_4,2, BENNET_h_4,3, BENNET_h_4,4], [BENNET_h_5,0, BENNET_h_5,1, BENNET_h_5,2, BENNET_h_5,3, BENNET_h_5,4], [BENNET_h_6,0, BENNET_h_6,1, BENNET_h_6,2, BENNET_h_6,3, BENNET_h_6,4], [BENNET_h_7,0, BENNET_h_7,1, BENNET_h_7,2, BENNET_h_7,3, BENNET_h_7,4], [BENNET_h_8,0, BENNET_h_8,1, BENNET_h_8,2, BENNET_h_8,3, BENNET_h_8,4], [BENNET_h_9,0, BENNET_h_9,1, BENNET_h_9,2, BENNET_h_9,3, BENNET_h_9,4]], [[BENNET_v_0,0, BENNET_v_0,1, BENNET_v_0,2, BENNET_v_0,3, BENNET_v_0,4, BENNET_v_0,5, BENNET_v_0,6, BENNET_v_0,7, BENNET_v_0,8, BENNET_v_0,9], [BENNET_v_1,0, BENNET_v_1,1, BENNET_v_1,2, BENNET_v_1,3, BENNET_v_1,4, BENNET_v_1,5, BENNET_v_1,6, BENNET_v_1,7, BENNET_v_1,8, BENNET_v_1,9], [BENNET_v_2,0, BENNET_v_2,1, BENNET_v_2,2, BENNET_v_2,3, BENNET_v_2,4, BENNET_v_2,5, BENNET_v_2,6, BENNET_v_2,7, BENNET_v_2,8, BENNET_v_2,9], [BENNET_v_3,0, BENNET_v_3,1, BENNET_v_3,2, BENNET_v_3,3, BENNET_v_3,4, BENNET_v_3,5, BENNET_v_3,6, BENNET_v_3,7, BENNET_v_3,8, BENNET_v_3,9], [BENNET_v_4,0, BENNET_v_4,1, BENNET_v_4,2, BENNET_v_4,3, BENNET_v_4,4, BENNET_v_4,5, BENNET_v_4,6, BENNET_v_4,7, BENNET_v_4,8, BENNET_v_4,9]]]\n",
|
|
"[[[BATH_h_0,0, BATH_h_0,1, BATH_h_0,2, BATH_h_0,3, BATH_h_0,4, BATH_h_0,5, BATH_h_0,6], [BATH_h_1,0, BATH_h_1,1, BATH_h_1,2, BATH_h_1,3, BATH_h_1,4, BATH_h_1,5, BATH_h_1,6], [BATH_h_2,0, BATH_h_2,1, BATH_h_2,2, BATH_h_2,3, BATH_h_2,4, BATH_h_2,5, BATH_h_2,6], [BATH_h_3,0, BATH_h_3,1, BATH_h_3,2, BATH_h_3,3, BATH_h_3,4, BATH_h_3,5, BATH_h_3,6], [BATH_h_4,0, BATH_h_4,1, BATH_h_4,2, BATH_h_4,3, BATH_h_4,4, BATH_h_4,5, BATH_h_4,6], [BATH_h_5,0, BATH_h_5,1, BATH_h_5,2, BATH_h_5,3, BATH_h_5,4, BATH_h_5,5, BATH_h_5,6], [BATH_h_6,0, BATH_h_6,1, BATH_h_6,2, BATH_h_6,3, BATH_h_6,4, BATH_h_6,5, BATH_h_6,6], [BATH_h_7,0, BATH_h_7,1, BATH_h_7,2, BATH_h_7,3, BATH_h_7,4, BATH_h_7,5, BATH_h_7,6], [BATH_h_8,0, BATH_h_8,1, BATH_h_8,2, BATH_h_8,3, BATH_h_8,4, BATH_h_8,5, BATH_h_8,6], [BATH_h_9,0, BATH_h_9,1, BATH_h_9,2, BATH_h_9,3, BATH_h_9,4, BATH_h_9,5, BATH_h_9,6]], [[BATH_v_0,0, BATH_v_0,1, BATH_v_0,2, BATH_v_0,3, BATH_v_0,4, BATH_v_0,5, BATH_v_0,6, BATH_v_0,7, BATH_v_0,8, BATH_v_0,9], [BATH_v_1,0, BATH_v_1,1, BATH_v_1,2, BATH_v_1,3, BATH_v_1,4, BATH_v_1,5, BATH_v_1,6, BATH_v_1,7, BATH_v_1,8, BATH_v_1,9], [BATH_v_2,0, BATH_v_2,1, BATH_v_2,2, BATH_v_2,3, BATH_v_2,4, BATH_v_2,5, BATH_v_2,6, BATH_v_2,7, BATH_v_2,8, BATH_v_2,9], [BATH_v_3,0, BATH_v_3,1, BATH_v_3,2, BATH_v_3,3, BATH_v_3,4, BATH_v_3,5, BATH_v_3,6, BATH_v_3,7, BATH_v_3,8, BATH_v_3,9], [BATH_v_4,0, BATH_v_4,1, BATH_v_4,2, BATH_v_4,3, BATH_v_4,4, BATH_v_4,5, BATH_v_4,6, BATH_v_4,7, BATH_v_4,8, BATH_v_4,9], [BATH_v_5,0, BATH_v_5,1, BATH_v_5,2, BATH_v_5,3, BATH_v_5,4, BATH_v_5,5, BATH_v_5,6, BATH_v_5,7, BATH_v_5,8, BATH_v_5,9], [BATH_v_6,0, BATH_v_6,1, BATH_v_6,2, BATH_v_6,3, BATH_v_6,4, BATH_v_6,5, BATH_v_6,6, BATH_v_6,7, BATH_v_6,8, BATH_v_6,9]]]\n",
|
|
"Executed in 1.0347 seconds\n",
|
|
"sat\n",
|
|
"╔═╤═╤═╤═╤═╤═╤═╤═╤═╤═╗\n",
|
|
"║█│█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█│█║\n",
|
|
"╚═╧═╧═╧═╧═╧═╧═╧═╧═╧═╝\n",
|
|
"[[[JANE_h_0,0, JANE_h_0,1, JANE_h_0,2, JANE_h_0,3, JANE_h_0,4, JANE_h_0,5], [JANE_h_1,0, JANE_h_1,1, JANE_h_1,2, JANE_h_1,3, JANE_h_1,4, JANE_h_1,5], [JANE_h_2,0, JANE_h_2,1, JANE_h_2,2, JANE_h_2,3, JANE_h_2,4, JANE_h_2,5], [JANE_h_3,0, JANE_h_3,1, JANE_h_3,2, JANE_h_3,3, JANE_h_3,4, JANE_h_3,5], [JANE_h_4,0, JANE_h_4,1, JANE_h_4,2, JANE_h_4,3, JANE_h_4,4, JANE_h_4,5], [JANE_h_5,0, JANE_h_5,1, JANE_h_5,2, JANE_h_5,3, JANE_h_5,4, JANE_h_5,5], [JANE_h_6,0, JANE_h_6,1, JANE_h_6,2, JANE_h_6,3, JANE_h_6,4, JANE_h_6,5], [JANE_h_7,0, JANE_h_7,1, JANE_h_7,2, JANE_h_7,3, JANE_h_7,4, JANE_h_7,5], [JANE_h_8,0, JANE_h_8,1, JANE_h_8,2, JANE_h_8,3, JANE_h_8,4, JANE_h_8,5]], [[JANE_v_0,0, JANE_v_0,1, JANE_v_0,2, JANE_v_0,3, JANE_v_0,4, JANE_v_0,5, JANE_v_0,6, JANE_v_0,7, JANE_v_0,8], [JANE_v_1,0, JANE_v_1,1, JANE_v_1,2, JANE_v_1,3, JANE_v_1,4, JANE_v_1,5, JANE_v_1,6, JANE_v_1,7, JANE_v_1,8], [JANE_v_2,0, JANE_v_2,1, JANE_v_2,2, JANE_v_2,3, JANE_v_2,4, JANE_v_2,5, JANE_v_2,6, JANE_v_2,7, JANE_v_2,8], [JANE_v_3,0, JANE_v_3,1, JANE_v_3,2, JANE_v_3,3, JANE_v_3,4, JANE_v_3,5, JANE_v_3,6, JANE_v_3,7, JANE_v_3,8], [JANE_v_4,0, JANE_v_4,1, JANE_v_4,2, JANE_v_4,3, JANE_v_4,4, JANE_v_4,5, JANE_v_4,6, JANE_v_4,7, JANE_v_4,8], [JANE_v_5,0, JANE_v_5,1, JANE_v_5,2, JANE_v_5,3, JANE_v_5,4, JANE_v_5,5, JANE_v_5,6, JANE_v_5,7, JANE_v_5,8]]]\n",
|
|
"[[[AUSTEN_h_0,0, AUSTEN_h_0,1, AUSTEN_h_0,2, AUSTEN_h_0,3], [AUSTEN_h_1,0, AUSTEN_h_1,1, AUSTEN_h_1,2, AUSTEN_h_1,3], [AUSTEN_h_2,0, AUSTEN_h_2,1, AUSTEN_h_2,2, AUSTEN_h_2,3], [AUSTEN_h_3,0, AUSTEN_h_3,1, AUSTEN_h_3,2, AUSTEN_h_3,3], [AUSTEN_h_4,0, AUSTEN_h_4,1, AUSTEN_h_4,2, AUSTEN_h_4,3], [AUSTEN_h_5,0, AUSTEN_h_5,1, AUSTEN_h_5,2, AUSTEN_h_5,3], [AUSTEN_h_6,0, AUSTEN_h_6,1, AUSTEN_h_6,2, AUSTEN_h_6,3], [AUSTEN_h_7,0, AUSTEN_h_7,1, AUSTEN_h_7,2, AUSTEN_h_7,3], [AUSTEN_h_8,0, AUSTEN_h_8,1, AUSTEN_h_8,2, AUSTEN_h_8,3]], [[AUSTEN_v_0,0, AUSTEN_v_0,1, AUSTEN_v_0,2, AUSTEN_v_0,3, AUSTEN_v_0,4, AUSTEN_v_0,5, AUSTEN_v_0,6, AUSTEN_v_0,7, AUSTEN_v_0,8], [AUSTEN_v_1,0, AUSTEN_v_1,1, AUSTEN_v_1,2, AUSTEN_v_1,3, AUSTEN_v_1,4, AUSTEN_v_1,5, AUSTEN_v_1,6, AUSTEN_v_1,7, AUSTEN_v_1,8], [AUSTEN_v_2,0, AUSTEN_v_2,1, AUSTEN_v_2,2, AUSTEN_v_2,3, AUSTEN_v_2,4, AUSTEN_v_2,5, AUSTEN_v_2,6, AUSTEN_v_2,7, AUSTEN_v_2,8], [AUSTEN_v_3,0, AUSTEN_v_3,1, AUSTEN_v_3,2, AUSTEN_v_3,3, AUSTEN_v_3,4, AUSTEN_v_3,5, AUSTEN_v_3,6, AUSTEN_v_3,7, AUSTEN_v_3,8]]]\n",
|
|
"[[[PRIDE_h_0,0, PRIDE_h_0,1, PRIDE_h_0,2, PRIDE_h_0,3, PRIDE_h_0,4], [PRIDE_h_1,0, PRIDE_h_1,1, PRIDE_h_1,2, PRIDE_h_1,3, PRIDE_h_1,4], [PRIDE_h_2,0, PRIDE_h_2,1, PRIDE_h_2,2, PRIDE_h_2,3, PRIDE_h_2,4], [PRIDE_h_3,0, PRIDE_h_3,1, PRIDE_h_3,2, PRIDE_h_3,3, PRIDE_h_3,4], [PRIDE_h_4,0, PRIDE_h_4,1, PRIDE_h_4,2, PRIDE_h_4,3, PRIDE_h_4,4], [PRIDE_h_5,0, PRIDE_h_5,1, PRIDE_h_5,2, PRIDE_h_5,3, PRIDE_h_5,4], [PRIDE_h_6,0, PRIDE_h_6,1, PRIDE_h_6,2, PRIDE_h_6,3, PRIDE_h_6,4], [PRIDE_h_7,0, PRIDE_h_7,1, PRIDE_h_7,2, PRIDE_h_7,3, PRIDE_h_7,4], [PRIDE_h_8,0, PRIDE_h_8,1, PRIDE_h_8,2, PRIDE_h_8,3, PRIDE_h_8,4]], [[PRIDE_v_0,0, PRIDE_v_0,1, PRIDE_v_0,2, PRIDE_v_0,3, PRIDE_v_0,4, PRIDE_v_0,5, PRIDE_v_0,6, PRIDE_v_0,7, PRIDE_v_0,8], [PRIDE_v_1,0, PRIDE_v_1,1, PRIDE_v_1,2, PRIDE_v_1,3, PRIDE_v_1,4, PRIDE_v_1,5, PRIDE_v_1,6, PRIDE_v_1,7, PRIDE_v_1,8], [PRIDE_v_2,0, PRIDE_v_2,1, PRIDE_v_2,2, PRIDE_v_2,3, PRIDE_v_2,4, PRIDE_v_2,5, PRIDE_v_2,6, PRIDE_v_2,7, PRIDE_v_2,8], [PRIDE_v_3,0, PRIDE_v_3,1, PRIDE_v_3,2, PRIDE_v_3,3, PRIDE_v_3,4, PRIDE_v_3,5, PRIDE_v_3,6, PRIDE_v_3,7, PRIDE_v_3,8], [PRIDE_v_4,0, PRIDE_v_4,1, PRIDE_v_4,2, PRIDE_v_4,3, PRIDE_v_4,4, PRIDE_v_4,5, PRIDE_v_4,6, PRIDE_v_4,7, PRIDE_v_4,8]]]\n",
|
|
"[[[NOVEL_h_0,0, NOVEL_h_0,1, NOVEL_h_0,2, NOVEL_h_0,3, NOVEL_h_0,4], [NOVEL_h_1,0, NOVEL_h_1,1, NOVEL_h_1,2, NOVEL_h_1,3, NOVEL_h_1,4], [NOVEL_h_2,0, NOVEL_h_2,1, NOVEL_h_2,2, NOVEL_h_2,3, NOVEL_h_2,4], [NOVEL_h_3,0, NOVEL_h_3,1, NOVEL_h_3,2, NOVEL_h_3,3, NOVEL_h_3,4], [NOVEL_h_4,0, NOVEL_h_4,1, NOVEL_h_4,2, NOVEL_h_4,3, NOVEL_h_4,4], [NOVEL_h_5,0, NOVEL_h_5,1, NOVEL_h_5,2, NOVEL_h_5,3, NOVEL_h_5,4], [NOVEL_h_6,0, NOVEL_h_6,1, NOVEL_h_6,2, NOVEL_h_6,3, NOVEL_h_6,4], [NOVEL_h_7,0, NOVEL_h_7,1, NOVEL_h_7,2, NOVEL_h_7,3, NOVEL_h_7,4], [NOVEL_h_8,0, NOVEL_h_8,1, NOVEL_h_8,2, NOVEL_h_8,3, NOVEL_h_8,4]], [[NOVEL_v_0,0, NOVEL_v_0,1, NOVEL_v_0,2, NOVEL_v_0,3, NOVEL_v_0,4, NOVEL_v_0,5, NOVEL_v_0,6, NOVEL_v_0,7, NOVEL_v_0,8], [NOVEL_v_1,0, NOVEL_v_1,1, NOVEL_v_1,2, NOVEL_v_1,3, NOVEL_v_1,4, NOVEL_v_1,5, NOVEL_v_1,6, NOVEL_v_1,7, NOVEL_v_1,8], [NOVEL_v_2,0, NOVEL_v_2,1, NOVEL_v_2,2, NOVEL_v_2,3, NOVEL_v_2,4, NOVEL_v_2,5, NOVEL_v_2,6, NOVEL_v_2,7, NOVEL_v_2,8], [NOVEL_v_3,0, NOVEL_v_3,1, NOVEL_v_3,2, NOVEL_v_3,3, NOVEL_v_3,4, NOVEL_v_3,5, NOVEL_v_3,6, NOVEL_v_3,7, NOVEL_v_3,8], [NOVEL_v_4,0, NOVEL_v_4,1, NOVEL_v_4,2, NOVEL_v_4,3, NOVEL_v_4,4, NOVEL_v_4,5, NOVEL_v_4,6, NOVEL_v_4,7, NOVEL_v_4,8]]]\n",
|
|
"[[[DARCY_h_0,0, DARCY_h_0,1, DARCY_h_0,2, DARCY_h_0,3, DARCY_h_0,4], [DARCY_h_1,0, DARCY_h_1,1, DARCY_h_1,2, DARCY_h_1,3, DARCY_h_1,4], [DARCY_h_2,0, DARCY_h_2,1, DARCY_h_2,2, DARCY_h_2,3, DARCY_h_2,4], [DARCY_h_3,0, DARCY_h_3,1, DARCY_h_3,2, DARCY_h_3,3, DARCY_h_3,4], [DARCY_h_4,0, DARCY_h_4,1, DARCY_h_4,2, DARCY_h_4,3, DARCY_h_4,4], [DARCY_h_5,0, DARCY_h_5,1, DARCY_h_5,2, DARCY_h_5,3, DARCY_h_5,4], [DARCY_h_6,0, DARCY_h_6,1, DARCY_h_6,2, DARCY_h_6,3, DARCY_h_6,4], [DARCY_h_7,0, DARCY_h_7,1, DARCY_h_7,2, DARCY_h_7,3, DARCY_h_7,4], [DARCY_h_8,0, DARCY_h_8,1, DARCY_h_8,2, DARCY_h_8,3, DARCY_h_8,4]], [[DARCY_v_0,0, DARCY_v_0,1, DARCY_v_0,2, DARCY_v_0,3, DARCY_v_0,4, DARCY_v_0,5, DARCY_v_0,6, DARCY_v_0,7, DARCY_v_0,8], [DARCY_v_1,0, DARCY_v_1,1, DARCY_v_1,2, DARCY_v_1,3, DARCY_v_1,4, DARCY_v_1,5, DARCY_v_1,6, DARCY_v_1,7, DARCY_v_1,8], [DARCY_v_2,0, DARCY_v_2,1, DARCY_v_2,2, DARCY_v_2,3, DARCY_v_2,4, DARCY_v_2,5, DARCY_v_2,6, DARCY_v_2,7, DARCY_v_2,8], [DARCY_v_3,0, DARCY_v_3,1, DARCY_v_3,2, DARCY_v_3,3, DARCY_v_3,4, DARCY_v_3,5, DARCY_v_3,6, DARCY_v_3,7, DARCY_v_3,8], [DARCY_v_4,0, DARCY_v_4,1, DARCY_v_4,2, DARCY_v_4,3, DARCY_v_4,4, DARCY_v_4,5, DARCY_v_4,6, DARCY_v_4,7, DARCY_v_4,8]]]\n",
|
|
"[[[SENSE_h_0,0, SENSE_h_0,1, SENSE_h_0,2, SENSE_h_0,3, SENSE_h_0,4], [SENSE_h_1,0, SENSE_h_1,1, SENSE_h_1,2, SENSE_h_1,3, SENSE_h_1,4], [SENSE_h_2,0, SENSE_h_2,1, SENSE_h_2,2, SENSE_h_2,3, SENSE_h_2,4], [SENSE_h_3,0, SENSE_h_3,1, SENSE_h_3,2, SENSE_h_3,3, SENSE_h_3,4], [SENSE_h_4,0, SENSE_h_4,1, SENSE_h_4,2, SENSE_h_4,3, SENSE_h_4,4], [SENSE_h_5,0, SENSE_h_5,1, SENSE_h_5,2, SENSE_h_5,3, SENSE_h_5,4], [SENSE_h_6,0, SENSE_h_6,1, SENSE_h_6,2, SENSE_h_6,3, SENSE_h_6,4], [SENSE_h_7,0, SENSE_h_7,1, SENSE_h_7,2, SENSE_h_7,3, SENSE_h_7,4], [SENSE_h_8,0, SENSE_h_8,1, SENSE_h_8,2, SENSE_h_8,3, SENSE_h_8,4]], [[SENSE_v_0,0, SENSE_v_0,1, SENSE_v_0,2, SENSE_v_0,3, SENSE_v_0,4, SENSE_v_0,5, SENSE_v_0,6, SENSE_v_0,7, SENSE_v_0,8], [SENSE_v_1,0, SENSE_v_1,1, SENSE_v_1,2, SENSE_v_1,3, SENSE_v_1,4, SENSE_v_1,5, SENSE_v_1,6, SENSE_v_1,7, SENSE_v_1,8], [SENSE_v_2,0, SENSE_v_2,1, SENSE_v_2,2, SENSE_v_2,3, SENSE_v_2,4, SENSE_v_2,5, SENSE_v_2,6, SENSE_v_2,7, SENSE_v_2,8], [SENSE_v_3,0, SENSE_v_3,1, SENSE_v_3,2, SENSE_v_3,3, SENSE_v_3,4, SENSE_v_3,5, SENSE_v_3,6, SENSE_v_3,7, SENSE_v_3,8], [SENSE_v_4,0, SENSE_v_4,1, SENSE_v_4,2, SENSE_v_4,3, SENSE_v_4,4, SENSE_v_4,5, SENSE_v_4,6, SENSE_v_4,7, SENSE_v_4,8]]]\n",
|
|
"[[[EMMA_h_0,0, EMMA_h_0,1, EMMA_h_0,2, EMMA_h_0,3, EMMA_h_0,4, EMMA_h_0,5], [EMMA_h_1,0, EMMA_h_1,1, EMMA_h_1,2, EMMA_h_1,3, EMMA_h_1,4, EMMA_h_1,5], [EMMA_h_2,0, EMMA_h_2,1, EMMA_h_2,2, EMMA_h_2,3, EMMA_h_2,4, EMMA_h_2,5], [EMMA_h_3,0, EMMA_h_3,1, EMMA_h_3,2, EMMA_h_3,3, EMMA_h_3,4, EMMA_h_3,5], [EMMA_h_4,0, EMMA_h_4,1, EMMA_h_4,2, EMMA_h_4,3, EMMA_h_4,4, EMMA_h_4,5], [EMMA_h_5,0, EMMA_h_5,1, EMMA_h_5,2, EMMA_h_5,3, EMMA_h_5,4, EMMA_h_5,5], [EMMA_h_6,0, EMMA_h_6,1, EMMA_h_6,2, EMMA_h_6,3, EMMA_h_6,4, EMMA_h_6,5], [EMMA_h_7,0, EMMA_h_7,1, EMMA_h_7,2, EMMA_h_7,3, EMMA_h_7,4, EMMA_h_7,5], [EMMA_h_8,0, EMMA_h_8,1, EMMA_h_8,2, EMMA_h_8,3, EMMA_h_8,4, EMMA_h_8,5]], [[EMMA_v_0,0, EMMA_v_0,1, EMMA_v_0,2, EMMA_v_0,3, EMMA_v_0,4, EMMA_v_0,5, EMMA_v_0,6, EMMA_v_0,7, EMMA_v_0,8], [EMMA_v_1,0, EMMA_v_1,1, EMMA_v_1,2, EMMA_v_1,3, EMMA_v_1,4, EMMA_v_1,5, EMMA_v_1,6, EMMA_v_1,7, EMMA_v_1,8], [EMMA_v_2,0, EMMA_v_2,1, EMMA_v_2,2, EMMA_v_2,3, EMMA_v_2,4, EMMA_v_2,5, EMMA_v_2,6, EMMA_v_2,7, EMMA_v_2,8], [EMMA_v_3,0, EMMA_v_3,1, EMMA_v_3,2, EMMA_v_3,3, EMMA_v_3,4, EMMA_v_3,5, EMMA_v_3,6, EMMA_v_3,7, EMMA_v_3,8], [EMMA_v_4,0, EMMA_v_4,1, EMMA_v_4,2, EMMA_v_4,3, EMMA_v_4,4, EMMA_v_4,5, EMMA_v_4,6, EMMA_v_4,7, EMMA_v_4,8], [EMMA_v_5,0, EMMA_v_5,1, EMMA_v_5,2, EMMA_v_5,3, EMMA_v_5,4, EMMA_v_5,5, EMMA_v_5,6, EMMA_v_5,7, EMMA_v_5,8]]]\n",
|
|
"[[[ESTATE_h_0,0, ESTATE_h_0,1, ESTATE_h_0,2, ESTATE_h_0,3], [ESTATE_h_1,0, ESTATE_h_1,1, ESTATE_h_1,2, ESTATE_h_1,3], [ESTATE_h_2,0, ESTATE_h_2,1, ESTATE_h_2,2, ESTATE_h_2,3], [ESTATE_h_3,0, ESTATE_h_3,1, ESTATE_h_3,2, ESTATE_h_3,3], [ESTATE_h_4,0, ESTATE_h_4,1, ESTATE_h_4,2, ESTATE_h_4,3], [ESTATE_h_5,0, ESTATE_h_5,1, ESTATE_h_5,2, ESTATE_h_5,3], [ESTATE_h_6,0, ESTATE_h_6,1, ESTATE_h_6,2, ESTATE_h_6,3], [ESTATE_h_7,0, ESTATE_h_7,1, ESTATE_h_7,2, ESTATE_h_7,3], [ESTATE_h_8,0, ESTATE_h_8,1, ESTATE_h_8,2, ESTATE_h_8,3]], [[ESTATE_v_0,0, ESTATE_v_0,1, ESTATE_v_0,2, ESTATE_v_0,3, ESTATE_v_0,4, ESTATE_v_0,5, ESTATE_v_0,6, ESTATE_v_0,7, ESTATE_v_0,8], [ESTATE_v_1,0, ESTATE_v_1,1, ESTATE_v_1,2, ESTATE_v_1,3, ESTATE_v_1,4, ESTATE_v_1,5, ESTATE_v_1,6, ESTATE_v_1,7, ESTATE_v_1,8], [ESTATE_v_2,0, ESTATE_v_2,1, ESTATE_v_2,2, ESTATE_v_2,3, ESTATE_v_2,4, ESTATE_v_2,5, ESTATE_v_2,6, ESTATE_v_2,7, ESTATE_v_2,8], [ESTATE_v_3,0, ESTATE_v_3,1, ESTATE_v_3,2, ESTATE_v_3,3, ESTATE_v_3,4, ESTATE_v_3,5, ESTATE_v_3,6, ESTATE_v_3,7, ESTATE_v_3,8]]]\n",
|
|
"[[[BENNET_h_0,0, BENNET_h_0,1, BENNET_h_0,2, BENNET_h_0,3], [BENNET_h_1,0, BENNET_h_1,1, BENNET_h_1,2, BENNET_h_1,3], [BENNET_h_2,0, BENNET_h_2,1, BENNET_h_2,2, BENNET_h_2,3], [BENNET_h_3,0, BENNET_h_3,1, BENNET_h_3,2, BENNET_h_3,3], [BENNET_h_4,0, BENNET_h_4,1, BENNET_h_4,2, BENNET_h_4,3], [BENNET_h_5,0, BENNET_h_5,1, BENNET_h_5,2, BENNET_h_5,3], [BENNET_h_6,0, BENNET_h_6,1, BENNET_h_6,2, BENNET_h_6,3], [BENNET_h_7,0, BENNET_h_7,1, BENNET_h_7,2, BENNET_h_7,3], [BENNET_h_8,0, BENNET_h_8,1, BENNET_h_8,2, BENNET_h_8,3]], [[BENNET_v_0,0, BENNET_v_0,1, BENNET_v_0,2, BENNET_v_0,3, BENNET_v_0,4, BENNET_v_0,5, BENNET_v_0,6, BENNET_v_0,7, BENNET_v_0,8], [BENNET_v_1,0, BENNET_v_1,1, BENNET_v_1,2, BENNET_v_1,3, BENNET_v_1,4, BENNET_v_1,5, BENNET_v_1,6, BENNET_v_1,7, BENNET_v_1,8], [BENNET_v_2,0, BENNET_v_2,1, BENNET_v_2,2, BENNET_v_2,3, BENNET_v_2,4, BENNET_v_2,5, BENNET_v_2,6, BENNET_v_2,7, BENNET_v_2,8], [BENNET_v_3,0, BENNET_v_3,1, BENNET_v_3,2, BENNET_v_3,3, BENNET_v_3,4, BENNET_v_3,5, BENNET_v_3,6, BENNET_v_3,7, BENNET_v_3,8]]]\n",
|
|
"[[[BATH_h_0,0, BATH_h_0,1, BATH_h_0,2, BATH_h_0,3, BATH_h_0,4, BATH_h_0,5], [BATH_h_1,0, BATH_h_1,1, BATH_h_1,2, BATH_h_1,3, BATH_h_1,4, BATH_h_1,5], [BATH_h_2,0, BATH_h_2,1, BATH_h_2,2, BATH_h_2,3, BATH_h_2,4, BATH_h_2,5], [BATH_h_3,0, BATH_h_3,1, BATH_h_3,2, BATH_h_3,3, BATH_h_3,4, BATH_h_3,5], [BATH_h_4,0, BATH_h_4,1, BATH_h_4,2, BATH_h_4,3, BATH_h_4,4, BATH_h_4,5], [BATH_h_5,0, BATH_h_5,1, BATH_h_5,2, BATH_h_5,3, BATH_h_5,4, BATH_h_5,5], [BATH_h_6,0, BATH_h_6,1, BATH_h_6,2, BATH_h_6,3, BATH_h_6,4, BATH_h_6,5], [BATH_h_7,0, BATH_h_7,1, BATH_h_7,2, BATH_h_7,3, BATH_h_7,4, BATH_h_7,5], [BATH_h_8,0, BATH_h_8,1, BATH_h_8,2, BATH_h_8,3, BATH_h_8,4, BATH_h_8,5]], [[BATH_v_0,0, BATH_v_0,1, BATH_v_0,2, BATH_v_0,3, BATH_v_0,4, BATH_v_0,5, BATH_v_0,6, BATH_v_0,7, BATH_v_0,8], [BATH_v_1,0, BATH_v_1,1, BATH_v_1,2, BATH_v_1,3, BATH_v_1,4, BATH_v_1,5, BATH_v_1,6, BATH_v_1,7, BATH_v_1,8], [BATH_v_2,0, BATH_v_2,1, BATH_v_2,2, BATH_v_2,3, BATH_v_2,4, BATH_v_2,5, BATH_v_2,6, BATH_v_2,7, BATH_v_2,8], [BATH_v_3,0, BATH_v_3,1, BATH_v_3,2, BATH_v_3,3, BATH_v_3,4, BATH_v_3,5, BATH_v_3,6, BATH_v_3,7, BATH_v_3,8], [BATH_v_4,0, BATH_v_4,1, BATH_v_4,2, BATH_v_4,3, BATH_v_4,4, BATH_v_4,5, BATH_v_4,6, BATH_v_4,7, BATH_v_4,8], [BATH_v_5,0, BATH_v_5,1, BATH_v_5,2, BATH_v_5,3, BATH_v_5,4, BATH_v_5,5, BATH_v_5,6, BATH_v_5,7, BATH_v_5,8]]]\n",
|
|
"Executed in 0.8997 seconds\n",
|
|
"sat\n",
|
|
"╔═╤═╤═╤═╤═╤═╤═╤═╤═╗\n",
|
|
"║█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█│█║\n",
|
|
"╚═╧═╧═╧═╧═╧═╧═╧═╧═╝\n",
|
|
"[[[JANE_h_0,0, JANE_h_0,1, JANE_h_0,2, JANE_h_0,3, JANE_h_0,4], [JANE_h_1,0, JANE_h_1,1, JANE_h_1,2, JANE_h_1,3, JANE_h_1,4], [JANE_h_2,0, JANE_h_2,1, JANE_h_2,2, JANE_h_2,3, JANE_h_2,4], [JANE_h_3,0, JANE_h_3,1, JANE_h_3,2, JANE_h_3,3, JANE_h_3,4], [JANE_h_4,0, JANE_h_4,1, JANE_h_4,2, JANE_h_4,3, JANE_h_4,4], [JANE_h_5,0, JANE_h_5,1, JANE_h_5,2, JANE_h_5,3, JANE_h_5,4], [JANE_h_6,0, JANE_h_6,1, JANE_h_6,2, JANE_h_6,3, JANE_h_6,4], [JANE_h_7,0, JANE_h_7,1, JANE_h_7,2, JANE_h_7,3, JANE_h_7,4]], [[JANE_v_0,0, JANE_v_0,1, JANE_v_0,2, JANE_v_0,3, JANE_v_0,4, JANE_v_0,5, JANE_v_0,6, JANE_v_0,7], [JANE_v_1,0, JANE_v_1,1, JANE_v_1,2, JANE_v_1,3, JANE_v_1,4, JANE_v_1,5, JANE_v_1,6, JANE_v_1,7], [JANE_v_2,0, JANE_v_2,1, JANE_v_2,2, JANE_v_2,3, JANE_v_2,4, JANE_v_2,5, JANE_v_2,6, JANE_v_2,7], [JANE_v_3,0, JANE_v_3,1, JANE_v_3,2, JANE_v_3,3, JANE_v_3,4, JANE_v_3,5, JANE_v_3,6, JANE_v_3,7], [JANE_v_4,0, JANE_v_4,1, JANE_v_4,2, JANE_v_4,3, JANE_v_4,4, JANE_v_4,5, JANE_v_4,6, JANE_v_4,7]]]\n",
|
|
"[[[AUSTEN_h_0,0, AUSTEN_h_0,1, AUSTEN_h_0,2], [AUSTEN_h_1,0, AUSTEN_h_1,1, AUSTEN_h_1,2], [AUSTEN_h_2,0, AUSTEN_h_2,1, AUSTEN_h_2,2], [AUSTEN_h_3,0, AUSTEN_h_3,1, AUSTEN_h_3,2], [AUSTEN_h_4,0, AUSTEN_h_4,1, AUSTEN_h_4,2], [AUSTEN_h_5,0, AUSTEN_h_5,1, AUSTEN_h_5,2], [AUSTEN_h_6,0, AUSTEN_h_6,1, AUSTEN_h_6,2], [AUSTEN_h_7,0, AUSTEN_h_7,1, AUSTEN_h_7,2]], [[AUSTEN_v_0,0, AUSTEN_v_0,1, AUSTEN_v_0,2, AUSTEN_v_0,3, AUSTEN_v_0,4, AUSTEN_v_0,5, AUSTEN_v_0,6, AUSTEN_v_0,7], [AUSTEN_v_1,0, AUSTEN_v_1,1, AUSTEN_v_1,2, AUSTEN_v_1,3, AUSTEN_v_1,4, AUSTEN_v_1,5, AUSTEN_v_1,6, AUSTEN_v_1,7], [AUSTEN_v_2,0, AUSTEN_v_2,1, AUSTEN_v_2,2, AUSTEN_v_2,3, AUSTEN_v_2,4, AUSTEN_v_2,5, AUSTEN_v_2,6, AUSTEN_v_2,7]]]\n",
|
|
"[[[PRIDE_h_0,0, PRIDE_h_0,1, PRIDE_h_0,2, PRIDE_h_0,3], [PRIDE_h_1,0, PRIDE_h_1,1, PRIDE_h_1,2, PRIDE_h_1,3], [PRIDE_h_2,0, PRIDE_h_2,1, PRIDE_h_2,2, PRIDE_h_2,3], [PRIDE_h_3,0, PRIDE_h_3,1, PRIDE_h_3,2, PRIDE_h_3,3], [PRIDE_h_4,0, PRIDE_h_4,1, PRIDE_h_4,2, PRIDE_h_4,3], [PRIDE_h_5,0, PRIDE_h_5,1, PRIDE_h_5,2, PRIDE_h_5,3], [PRIDE_h_6,0, PRIDE_h_6,1, PRIDE_h_6,2, PRIDE_h_6,3], [PRIDE_h_7,0, PRIDE_h_7,1, PRIDE_h_7,2, PRIDE_h_7,3]], [[PRIDE_v_0,0, PRIDE_v_0,1, PRIDE_v_0,2, PRIDE_v_0,3, PRIDE_v_0,4, PRIDE_v_0,5, PRIDE_v_0,6, PRIDE_v_0,7], [PRIDE_v_1,0, PRIDE_v_1,1, PRIDE_v_1,2, PRIDE_v_1,3, PRIDE_v_1,4, PRIDE_v_1,5, PRIDE_v_1,6, PRIDE_v_1,7], [PRIDE_v_2,0, PRIDE_v_2,1, PRIDE_v_2,2, PRIDE_v_2,3, PRIDE_v_2,4, PRIDE_v_2,5, PRIDE_v_2,6, PRIDE_v_2,7], [PRIDE_v_3,0, PRIDE_v_3,1, PRIDE_v_3,2, PRIDE_v_3,3, PRIDE_v_3,4, PRIDE_v_3,5, PRIDE_v_3,6, PRIDE_v_3,7]]]\n",
|
|
"[[[NOVEL_h_0,0, NOVEL_h_0,1, NOVEL_h_0,2, NOVEL_h_0,3], [NOVEL_h_1,0, NOVEL_h_1,1, NOVEL_h_1,2, NOVEL_h_1,3], [NOVEL_h_2,0, NOVEL_h_2,1, NOVEL_h_2,2, NOVEL_h_2,3], [NOVEL_h_3,0, NOVEL_h_3,1, NOVEL_h_3,2, NOVEL_h_3,3], [NOVEL_h_4,0, NOVEL_h_4,1, NOVEL_h_4,2, NOVEL_h_4,3], [NOVEL_h_5,0, NOVEL_h_5,1, NOVEL_h_5,2, NOVEL_h_5,3], [NOVEL_h_6,0, NOVEL_h_6,1, NOVEL_h_6,2, NOVEL_h_6,3], [NOVEL_h_7,0, NOVEL_h_7,1, NOVEL_h_7,2, NOVEL_h_7,3]], [[NOVEL_v_0,0, NOVEL_v_0,1, NOVEL_v_0,2, NOVEL_v_0,3, NOVEL_v_0,4, NOVEL_v_0,5, NOVEL_v_0,6, NOVEL_v_0,7], [NOVEL_v_1,0, NOVEL_v_1,1, NOVEL_v_1,2, NOVEL_v_1,3, NOVEL_v_1,4, NOVEL_v_1,5, NOVEL_v_1,6, NOVEL_v_1,7], [NOVEL_v_2,0, NOVEL_v_2,1, NOVEL_v_2,2, NOVEL_v_2,3, NOVEL_v_2,4, NOVEL_v_2,5, NOVEL_v_2,6, NOVEL_v_2,7], [NOVEL_v_3,0, NOVEL_v_3,1, NOVEL_v_3,2, NOVEL_v_3,3, NOVEL_v_3,4, NOVEL_v_3,5, NOVEL_v_3,6, NOVEL_v_3,7]]]\n",
|
|
"[[[DARCY_h_0,0, DARCY_h_0,1, DARCY_h_0,2, DARCY_h_0,3], [DARCY_h_1,0, DARCY_h_1,1, DARCY_h_1,2, DARCY_h_1,3], [DARCY_h_2,0, DARCY_h_2,1, DARCY_h_2,2, DARCY_h_2,3], [DARCY_h_3,0, DARCY_h_3,1, DARCY_h_3,2, DARCY_h_3,3], [DARCY_h_4,0, DARCY_h_4,1, DARCY_h_4,2, DARCY_h_4,3], [DARCY_h_5,0, DARCY_h_5,1, DARCY_h_5,2, DARCY_h_5,3], [DARCY_h_6,0, DARCY_h_6,1, DARCY_h_6,2, DARCY_h_6,3], [DARCY_h_7,0, DARCY_h_7,1, DARCY_h_7,2, DARCY_h_7,3]], [[DARCY_v_0,0, DARCY_v_0,1, DARCY_v_0,2, DARCY_v_0,3, DARCY_v_0,4, DARCY_v_0,5, DARCY_v_0,6, DARCY_v_0,7], [DARCY_v_1,0, DARCY_v_1,1, DARCY_v_1,2, DARCY_v_1,3, DARCY_v_1,4, DARCY_v_1,5, DARCY_v_1,6, DARCY_v_1,7], [DARCY_v_2,0, DARCY_v_2,1, DARCY_v_2,2, DARCY_v_2,3, DARCY_v_2,4, DARCY_v_2,5, DARCY_v_2,6, DARCY_v_2,7], [DARCY_v_3,0, DARCY_v_3,1, DARCY_v_3,2, DARCY_v_3,3, DARCY_v_3,4, DARCY_v_3,5, DARCY_v_3,6, DARCY_v_3,7]]]\n",
|
|
"[[[SENSE_h_0,0, SENSE_h_0,1, SENSE_h_0,2, SENSE_h_0,3], [SENSE_h_1,0, SENSE_h_1,1, SENSE_h_1,2, SENSE_h_1,3], [SENSE_h_2,0, SENSE_h_2,1, SENSE_h_2,2, SENSE_h_2,3], [SENSE_h_3,0, SENSE_h_3,1, SENSE_h_3,2, SENSE_h_3,3], [SENSE_h_4,0, SENSE_h_4,1, SENSE_h_4,2, SENSE_h_4,3], [SENSE_h_5,0, SENSE_h_5,1, SENSE_h_5,2, SENSE_h_5,3], [SENSE_h_6,0, SENSE_h_6,1, SENSE_h_6,2, SENSE_h_6,3], [SENSE_h_7,0, SENSE_h_7,1, SENSE_h_7,2, SENSE_h_7,3]], [[SENSE_v_0,0, SENSE_v_0,1, SENSE_v_0,2, SENSE_v_0,3, SENSE_v_0,4, SENSE_v_0,5, SENSE_v_0,6, SENSE_v_0,7], [SENSE_v_1,0, SENSE_v_1,1, SENSE_v_1,2, SENSE_v_1,3, SENSE_v_1,4, SENSE_v_1,5, SENSE_v_1,6, SENSE_v_1,7], [SENSE_v_2,0, SENSE_v_2,1, SENSE_v_2,2, SENSE_v_2,3, SENSE_v_2,4, SENSE_v_2,5, SENSE_v_2,6, SENSE_v_2,7], [SENSE_v_3,0, SENSE_v_3,1, SENSE_v_3,2, SENSE_v_3,3, SENSE_v_3,4, SENSE_v_3,5, SENSE_v_3,6, SENSE_v_3,7]]]\n",
|
|
"[[[EMMA_h_0,0, EMMA_h_0,1, EMMA_h_0,2, EMMA_h_0,3, EMMA_h_0,4], [EMMA_h_1,0, EMMA_h_1,1, EMMA_h_1,2, EMMA_h_1,3, EMMA_h_1,4], [EMMA_h_2,0, EMMA_h_2,1, EMMA_h_2,2, EMMA_h_2,3, EMMA_h_2,4], [EMMA_h_3,0, EMMA_h_3,1, EMMA_h_3,2, EMMA_h_3,3, EMMA_h_3,4], [EMMA_h_4,0, EMMA_h_4,1, EMMA_h_4,2, EMMA_h_4,3, EMMA_h_4,4], [EMMA_h_5,0, EMMA_h_5,1, EMMA_h_5,2, EMMA_h_5,3, EMMA_h_5,4], [EMMA_h_6,0, EMMA_h_6,1, EMMA_h_6,2, EMMA_h_6,3, EMMA_h_6,4], [EMMA_h_7,0, EMMA_h_7,1, EMMA_h_7,2, EMMA_h_7,3, EMMA_h_7,4]], [[EMMA_v_0,0, EMMA_v_0,1, EMMA_v_0,2, EMMA_v_0,3, EMMA_v_0,4, EMMA_v_0,5, EMMA_v_0,6, EMMA_v_0,7], [EMMA_v_1,0, EMMA_v_1,1, EMMA_v_1,2, EMMA_v_1,3, EMMA_v_1,4, EMMA_v_1,5, EMMA_v_1,6, EMMA_v_1,7], [EMMA_v_2,0, EMMA_v_2,1, EMMA_v_2,2, EMMA_v_2,3, EMMA_v_2,4, EMMA_v_2,5, EMMA_v_2,6, EMMA_v_2,7], [EMMA_v_3,0, EMMA_v_3,1, EMMA_v_3,2, EMMA_v_3,3, EMMA_v_3,4, EMMA_v_3,5, EMMA_v_3,6, EMMA_v_3,7], [EMMA_v_4,0, EMMA_v_4,1, EMMA_v_4,2, EMMA_v_4,3, EMMA_v_4,4, EMMA_v_4,5, EMMA_v_4,6, EMMA_v_4,7]]]\n",
|
|
"[[[ESTATE_h_0,0, ESTATE_h_0,1, ESTATE_h_0,2], [ESTATE_h_1,0, ESTATE_h_1,1, ESTATE_h_1,2], [ESTATE_h_2,0, ESTATE_h_2,1, ESTATE_h_2,2], [ESTATE_h_3,0, ESTATE_h_3,1, ESTATE_h_3,2], [ESTATE_h_4,0, ESTATE_h_4,1, ESTATE_h_4,2], [ESTATE_h_5,0, ESTATE_h_5,1, ESTATE_h_5,2], [ESTATE_h_6,0, ESTATE_h_6,1, ESTATE_h_6,2], [ESTATE_h_7,0, ESTATE_h_7,1, ESTATE_h_7,2]], [[ESTATE_v_0,0, ESTATE_v_0,1, ESTATE_v_0,2, ESTATE_v_0,3, ESTATE_v_0,4, ESTATE_v_0,5, ESTATE_v_0,6, ESTATE_v_0,7], [ESTATE_v_1,0, ESTATE_v_1,1, ESTATE_v_1,2, ESTATE_v_1,3, ESTATE_v_1,4, ESTATE_v_1,5, ESTATE_v_1,6, ESTATE_v_1,7], [ESTATE_v_2,0, ESTATE_v_2,1, ESTATE_v_2,2, ESTATE_v_2,3, ESTATE_v_2,4, ESTATE_v_2,5, ESTATE_v_2,6, ESTATE_v_2,7]]]\n",
|
|
"[[[BENNET_h_0,0, BENNET_h_0,1, BENNET_h_0,2], [BENNET_h_1,0, BENNET_h_1,1, BENNET_h_1,2], [BENNET_h_2,0, BENNET_h_2,1, BENNET_h_2,2], [BENNET_h_3,0, BENNET_h_3,1, BENNET_h_3,2], [BENNET_h_4,0, BENNET_h_4,1, BENNET_h_4,2], [BENNET_h_5,0, BENNET_h_5,1, BENNET_h_5,2], [BENNET_h_6,0, BENNET_h_6,1, BENNET_h_6,2], [BENNET_h_7,0, BENNET_h_7,1, BENNET_h_7,2]], [[BENNET_v_0,0, BENNET_v_0,1, BENNET_v_0,2, BENNET_v_0,3, BENNET_v_0,4, BENNET_v_0,5, BENNET_v_0,6, BENNET_v_0,7], [BENNET_v_1,0, BENNET_v_1,1, BENNET_v_1,2, BENNET_v_1,3, BENNET_v_1,4, BENNET_v_1,5, BENNET_v_1,6, BENNET_v_1,7], [BENNET_v_2,0, BENNET_v_2,1, BENNET_v_2,2, BENNET_v_2,3, BENNET_v_2,4, BENNET_v_2,5, BENNET_v_2,6, BENNET_v_2,7]]]\n",
|
|
"[[[BATH_h_0,0, BATH_h_0,1, BATH_h_0,2, BATH_h_0,3, BATH_h_0,4], [BATH_h_1,0, BATH_h_1,1, BATH_h_1,2, BATH_h_1,3, BATH_h_1,4], [BATH_h_2,0, BATH_h_2,1, BATH_h_2,2, BATH_h_2,3, BATH_h_2,4], [BATH_h_3,0, BATH_h_3,1, BATH_h_3,2, BATH_h_3,3, BATH_h_3,4], [BATH_h_4,0, BATH_h_4,1, BATH_h_4,2, BATH_h_4,3, BATH_h_4,4], [BATH_h_5,0, BATH_h_5,1, BATH_h_5,2, BATH_h_5,3, BATH_h_5,4], [BATH_h_6,0, BATH_h_6,1, BATH_h_6,2, BATH_h_6,3, BATH_h_6,4], [BATH_h_7,0, BATH_h_7,1, BATH_h_7,2, BATH_h_7,3, BATH_h_7,4]], [[BATH_v_0,0, BATH_v_0,1, BATH_v_0,2, BATH_v_0,3, BATH_v_0,4, BATH_v_0,5, BATH_v_0,6, BATH_v_0,7], [BATH_v_1,0, BATH_v_1,1, BATH_v_1,2, BATH_v_1,3, BATH_v_1,4, BATH_v_1,5, BATH_v_1,6, BATH_v_1,7], [BATH_v_2,0, BATH_v_2,1, BATH_v_2,2, BATH_v_2,3, BATH_v_2,4, BATH_v_2,5, BATH_v_2,6, BATH_v_2,7], [BATH_v_3,0, BATH_v_3,1, BATH_v_3,2, BATH_v_3,3, BATH_v_3,4, BATH_v_3,5, BATH_v_3,6, BATH_v_3,7], [BATH_v_4,0, BATH_v_4,1, BATH_v_4,2, BATH_v_4,3, BATH_v_4,4, BATH_v_4,5, BATH_v_4,6, BATH_v_4,7]]]\n",
|
|
"Executed in 0.8943 seconds\n",
|
|
"sat\n",
|
|
"╔═╤═╤═╤═╤═╤═╤═╤═╗\n",
|
|
"║█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█│█║\n",
|
|
"╚═╧═╧═╧═╧═╧═╧═╧═╝\n",
|
|
"[[[JANE_h_0,0, JANE_h_0,1, JANE_h_0,2, JANE_h_0,3], [JANE_h_1,0, JANE_h_1,1, JANE_h_1,2, JANE_h_1,3], [JANE_h_2,0, JANE_h_2,1, JANE_h_2,2, JANE_h_2,3], [JANE_h_3,0, JANE_h_3,1, JANE_h_3,2, JANE_h_3,3], [JANE_h_4,0, JANE_h_4,1, JANE_h_4,2, JANE_h_4,3], [JANE_h_5,0, JANE_h_5,1, JANE_h_5,2, JANE_h_5,3], [JANE_h_6,0, JANE_h_6,1, JANE_h_6,2, JANE_h_6,3]], [[JANE_v_0,0, JANE_v_0,1, JANE_v_0,2, JANE_v_0,3, JANE_v_0,4, JANE_v_0,5, JANE_v_0,6], [JANE_v_1,0, JANE_v_1,1, JANE_v_1,2, JANE_v_1,3, JANE_v_1,4, JANE_v_1,5, JANE_v_1,6], [JANE_v_2,0, JANE_v_2,1, JANE_v_2,2, JANE_v_2,3, JANE_v_2,4, JANE_v_2,5, JANE_v_2,6], [JANE_v_3,0, JANE_v_3,1, JANE_v_3,2, JANE_v_3,3, JANE_v_3,4, JANE_v_3,5, JANE_v_3,6]]]\n",
|
|
"[[[AUSTEN_h_0,0, AUSTEN_h_0,1], [AUSTEN_h_1,0, AUSTEN_h_1,1], [AUSTEN_h_2,0, AUSTEN_h_2,1], [AUSTEN_h_3,0, AUSTEN_h_3,1], [AUSTEN_h_4,0, AUSTEN_h_4,1], [AUSTEN_h_5,0, AUSTEN_h_5,1], [AUSTEN_h_6,0, AUSTEN_h_6,1]], [[AUSTEN_v_0,0, AUSTEN_v_0,1, AUSTEN_v_0,2, AUSTEN_v_0,3, AUSTEN_v_0,4, AUSTEN_v_0,5, AUSTEN_v_0,6], [AUSTEN_v_1,0, AUSTEN_v_1,1, AUSTEN_v_1,2, AUSTEN_v_1,3, AUSTEN_v_1,4, AUSTEN_v_1,5, AUSTEN_v_1,6]]]\n",
|
|
"[[[PRIDE_h_0,0, PRIDE_h_0,1, PRIDE_h_0,2], [PRIDE_h_1,0, PRIDE_h_1,1, PRIDE_h_1,2], [PRIDE_h_2,0, PRIDE_h_2,1, PRIDE_h_2,2], [PRIDE_h_3,0, PRIDE_h_3,1, PRIDE_h_3,2], [PRIDE_h_4,0, PRIDE_h_4,1, PRIDE_h_4,2], [PRIDE_h_5,0, PRIDE_h_5,1, PRIDE_h_5,2], [PRIDE_h_6,0, PRIDE_h_6,1, PRIDE_h_6,2]], [[PRIDE_v_0,0, PRIDE_v_0,1, PRIDE_v_0,2, PRIDE_v_0,3, PRIDE_v_0,4, PRIDE_v_0,5, PRIDE_v_0,6], [PRIDE_v_1,0, PRIDE_v_1,1, PRIDE_v_1,2, PRIDE_v_1,3, PRIDE_v_1,4, PRIDE_v_1,5, PRIDE_v_1,6], [PRIDE_v_2,0, PRIDE_v_2,1, PRIDE_v_2,2, PRIDE_v_2,3, PRIDE_v_2,4, PRIDE_v_2,5, PRIDE_v_2,6]]]\n",
|
|
"[[[NOVEL_h_0,0, NOVEL_h_0,1, NOVEL_h_0,2], [NOVEL_h_1,0, NOVEL_h_1,1, NOVEL_h_1,2], [NOVEL_h_2,0, NOVEL_h_2,1, NOVEL_h_2,2], [NOVEL_h_3,0, NOVEL_h_3,1, NOVEL_h_3,2], [NOVEL_h_4,0, NOVEL_h_4,1, NOVEL_h_4,2], [NOVEL_h_5,0, NOVEL_h_5,1, NOVEL_h_5,2], [NOVEL_h_6,0, NOVEL_h_6,1, NOVEL_h_6,2]], [[NOVEL_v_0,0, NOVEL_v_0,1, NOVEL_v_0,2, NOVEL_v_0,3, NOVEL_v_0,4, NOVEL_v_0,5, NOVEL_v_0,6], [NOVEL_v_1,0, NOVEL_v_1,1, NOVEL_v_1,2, NOVEL_v_1,3, NOVEL_v_1,4, NOVEL_v_1,5, NOVEL_v_1,6], [NOVEL_v_2,0, NOVEL_v_2,1, NOVEL_v_2,2, NOVEL_v_2,3, NOVEL_v_2,4, NOVEL_v_2,5, NOVEL_v_2,6]]]\n",
|
|
"[[[DARCY_h_0,0, DARCY_h_0,1, DARCY_h_0,2], [DARCY_h_1,0, DARCY_h_1,1, DARCY_h_1,2], [DARCY_h_2,0, DARCY_h_2,1, DARCY_h_2,2], [DARCY_h_3,0, DARCY_h_3,1, DARCY_h_3,2], [DARCY_h_4,0, DARCY_h_4,1, DARCY_h_4,2], [DARCY_h_5,0, DARCY_h_5,1, DARCY_h_5,2], [DARCY_h_6,0, DARCY_h_6,1, DARCY_h_6,2]], [[DARCY_v_0,0, DARCY_v_0,1, DARCY_v_0,2, DARCY_v_0,3, DARCY_v_0,4, DARCY_v_0,5, DARCY_v_0,6], [DARCY_v_1,0, DARCY_v_1,1, DARCY_v_1,2, DARCY_v_1,3, DARCY_v_1,4, DARCY_v_1,5, DARCY_v_1,6], [DARCY_v_2,0, DARCY_v_2,1, DARCY_v_2,2, DARCY_v_2,3, DARCY_v_2,4, DARCY_v_2,5, DARCY_v_2,6]]]\n",
|
|
"[[[SENSE_h_0,0, SENSE_h_0,1, SENSE_h_0,2], [SENSE_h_1,0, SENSE_h_1,1, SENSE_h_1,2], [SENSE_h_2,0, SENSE_h_2,1, SENSE_h_2,2], [SENSE_h_3,0, SENSE_h_3,1, SENSE_h_3,2], [SENSE_h_4,0, SENSE_h_4,1, SENSE_h_4,2], [SENSE_h_5,0, SENSE_h_5,1, SENSE_h_5,2], [SENSE_h_6,0, SENSE_h_6,1, SENSE_h_6,2]], [[SENSE_v_0,0, SENSE_v_0,1, SENSE_v_0,2, SENSE_v_0,3, SENSE_v_0,4, SENSE_v_0,5, SENSE_v_0,6], [SENSE_v_1,0, SENSE_v_1,1, SENSE_v_1,2, SENSE_v_1,3, SENSE_v_1,4, SENSE_v_1,5, SENSE_v_1,6], [SENSE_v_2,0, SENSE_v_2,1, SENSE_v_2,2, SENSE_v_2,3, SENSE_v_2,4, SENSE_v_2,5, SENSE_v_2,6]]]\n",
|
|
"[[[EMMA_h_0,0, EMMA_h_0,1, EMMA_h_0,2, EMMA_h_0,3], [EMMA_h_1,0, EMMA_h_1,1, EMMA_h_1,2, EMMA_h_1,3], [EMMA_h_2,0, EMMA_h_2,1, EMMA_h_2,2, EMMA_h_2,3], [EMMA_h_3,0, EMMA_h_3,1, EMMA_h_3,2, EMMA_h_3,3], [EMMA_h_4,0, EMMA_h_4,1, EMMA_h_4,2, EMMA_h_4,3], [EMMA_h_5,0, EMMA_h_5,1, EMMA_h_5,2, EMMA_h_5,3], [EMMA_h_6,0, EMMA_h_6,1, EMMA_h_6,2, EMMA_h_6,3]], [[EMMA_v_0,0, EMMA_v_0,1, EMMA_v_0,2, EMMA_v_0,3, EMMA_v_0,4, EMMA_v_0,5, EMMA_v_0,6], [EMMA_v_1,0, EMMA_v_1,1, EMMA_v_1,2, EMMA_v_1,3, EMMA_v_1,4, EMMA_v_1,5, EMMA_v_1,6], [EMMA_v_2,0, EMMA_v_2,1, EMMA_v_2,2, EMMA_v_2,3, EMMA_v_2,4, EMMA_v_2,5, EMMA_v_2,6], [EMMA_v_3,0, EMMA_v_3,1, EMMA_v_3,2, EMMA_v_3,3, EMMA_v_3,4, EMMA_v_3,5, EMMA_v_3,6]]]\n",
|
|
"[[[ESTATE_h_0,0, ESTATE_h_0,1], [ESTATE_h_1,0, ESTATE_h_1,1], [ESTATE_h_2,0, ESTATE_h_2,1], [ESTATE_h_3,0, ESTATE_h_3,1], [ESTATE_h_4,0, ESTATE_h_4,1], [ESTATE_h_5,0, ESTATE_h_5,1], [ESTATE_h_6,0, ESTATE_h_6,1]], [[ESTATE_v_0,0, ESTATE_v_0,1, ESTATE_v_0,2, ESTATE_v_0,3, ESTATE_v_0,4, ESTATE_v_0,5, ESTATE_v_0,6], [ESTATE_v_1,0, ESTATE_v_1,1, ESTATE_v_1,2, ESTATE_v_1,3, ESTATE_v_1,4, ESTATE_v_1,5, ESTATE_v_1,6]]]\n",
|
|
"[[[BENNET_h_0,0, BENNET_h_0,1], [BENNET_h_1,0, BENNET_h_1,1], [BENNET_h_2,0, BENNET_h_2,1], [BENNET_h_3,0, BENNET_h_3,1], [BENNET_h_4,0, BENNET_h_4,1], [BENNET_h_5,0, BENNET_h_5,1], [BENNET_h_6,0, BENNET_h_6,1]], [[BENNET_v_0,0, BENNET_v_0,1, BENNET_v_0,2, BENNET_v_0,3, BENNET_v_0,4, BENNET_v_0,5, BENNET_v_0,6], [BENNET_v_1,0, BENNET_v_1,1, BENNET_v_1,2, BENNET_v_1,3, BENNET_v_1,4, BENNET_v_1,5, BENNET_v_1,6]]]\n",
|
|
"[[[BATH_h_0,0, BATH_h_0,1, BATH_h_0,2, BATH_h_0,3], [BATH_h_1,0, BATH_h_1,1, BATH_h_1,2, BATH_h_1,3], [BATH_h_2,0, BATH_h_2,1, BATH_h_2,2, BATH_h_2,3], [BATH_h_3,0, BATH_h_3,1, BATH_h_3,2, BATH_h_3,3], [BATH_h_4,0, BATH_h_4,1, BATH_h_4,2, BATH_h_4,3], [BATH_h_5,0, BATH_h_5,1, BATH_h_5,2, BATH_h_5,3], [BATH_h_6,0, BATH_h_6,1, BATH_h_6,2, BATH_h_6,3]], [[BATH_v_0,0, BATH_v_0,1, BATH_v_0,2, BATH_v_0,3, BATH_v_0,4, BATH_v_0,5, BATH_v_0,6], [BATH_v_1,0, BATH_v_1,1, BATH_v_1,2, BATH_v_1,3, BATH_v_1,4, BATH_v_1,5, BATH_v_1,6], [BATH_v_2,0, BATH_v_2,1, BATH_v_2,2, BATH_v_2,3, BATH_v_2,4, BATH_v_2,5, BATH_v_2,6], [BATH_v_3,0, BATH_v_3,1, BATH_v_3,2, BATH_v_3,3, BATH_v_3,4, BATH_v_3,5, BATH_v_3,6]]]\n",
|
|
"Executed in 0.6775 seconds\n",
|
|
"sat\n",
|
|
"╔═╤═╤═╤═╤═╤═╤═╗\n",
|
|
"║█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█║\n",
|
|
"╚═╧═╧═╧═╧═╧═╧═╝\n",
|
|
"[[[JANE_h_0,0, JANE_h_0,1, JANE_h_0,2], [JANE_h_1,0, JANE_h_1,1, JANE_h_1,2], [JANE_h_2,0, JANE_h_2,1, JANE_h_2,2], [JANE_h_3,0, JANE_h_3,1, JANE_h_3,2], [JANE_h_4,0, JANE_h_4,1, JANE_h_4,2], [JANE_h_5,0, JANE_h_5,1, JANE_h_5,2]], [[JANE_v_0,0, JANE_v_0,1, JANE_v_0,2, JANE_v_0,3, JANE_v_0,4, JANE_v_0,5], [JANE_v_1,0, JANE_v_1,1, JANE_v_1,2, JANE_v_1,3, JANE_v_1,4, JANE_v_1,5], [JANE_v_2,0, JANE_v_2,1, JANE_v_2,2, JANE_v_2,3, JANE_v_2,4, JANE_v_2,5]]]\n",
|
|
"[[[AUSTEN_h_0,0], [AUSTEN_h_1,0], [AUSTEN_h_2,0], [AUSTEN_h_3,0], [AUSTEN_h_4,0], [AUSTEN_h_5,0]], [[AUSTEN_v_0,0, AUSTEN_v_0,1, AUSTEN_v_0,2, AUSTEN_v_0,3, AUSTEN_v_0,4, AUSTEN_v_0,5]]]\n",
|
|
"[[[PRIDE_h_0,0, PRIDE_h_0,1], [PRIDE_h_1,0, PRIDE_h_1,1], [PRIDE_h_2,0, PRIDE_h_2,1], [PRIDE_h_3,0, PRIDE_h_3,1], [PRIDE_h_4,0, PRIDE_h_4,1], [PRIDE_h_5,0, PRIDE_h_5,1]], [[PRIDE_v_0,0, PRIDE_v_0,1, PRIDE_v_0,2, PRIDE_v_0,3, PRIDE_v_0,4, PRIDE_v_0,5], [PRIDE_v_1,0, PRIDE_v_1,1, PRIDE_v_1,2, PRIDE_v_1,3, PRIDE_v_1,4, PRIDE_v_1,5]]]\n",
|
|
"[[[NOVEL_h_0,0, NOVEL_h_0,1], [NOVEL_h_1,0, NOVEL_h_1,1], [NOVEL_h_2,0, NOVEL_h_2,1], [NOVEL_h_3,0, NOVEL_h_3,1], [NOVEL_h_4,0, NOVEL_h_4,1], [NOVEL_h_5,0, NOVEL_h_5,1]], [[NOVEL_v_0,0, NOVEL_v_0,1, NOVEL_v_0,2, NOVEL_v_0,3, NOVEL_v_0,4, NOVEL_v_0,5], [NOVEL_v_1,0, NOVEL_v_1,1, NOVEL_v_1,2, NOVEL_v_1,3, NOVEL_v_1,4, NOVEL_v_1,5]]]\n",
|
|
"[[[DARCY_h_0,0, DARCY_h_0,1], [DARCY_h_1,0, DARCY_h_1,1], [DARCY_h_2,0, DARCY_h_2,1], [DARCY_h_3,0, DARCY_h_3,1], [DARCY_h_4,0, DARCY_h_4,1], [DARCY_h_5,0, DARCY_h_5,1]], [[DARCY_v_0,0, DARCY_v_0,1, DARCY_v_0,2, DARCY_v_0,3, DARCY_v_0,4, DARCY_v_0,5], [DARCY_v_1,0, DARCY_v_1,1, DARCY_v_1,2, DARCY_v_1,3, DARCY_v_1,4, DARCY_v_1,5]]]\n",
|
|
"[[[SENSE_h_0,0, SENSE_h_0,1], [SENSE_h_1,0, SENSE_h_1,1], [SENSE_h_2,0, SENSE_h_2,1], [SENSE_h_3,0, SENSE_h_3,1], [SENSE_h_4,0, SENSE_h_4,1], [SENSE_h_5,0, SENSE_h_5,1]], [[SENSE_v_0,0, SENSE_v_0,1, SENSE_v_0,2, SENSE_v_0,3, SENSE_v_0,4, SENSE_v_0,5], [SENSE_v_1,0, SENSE_v_1,1, SENSE_v_1,2, SENSE_v_1,3, SENSE_v_1,4, SENSE_v_1,5]]]\n",
|
|
"[[[EMMA_h_0,0, EMMA_h_0,1, EMMA_h_0,2], [EMMA_h_1,0, EMMA_h_1,1, EMMA_h_1,2], [EMMA_h_2,0, EMMA_h_2,1, EMMA_h_2,2], [EMMA_h_3,0, EMMA_h_3,1, EMMA_h_3,2], [EMMA_h_4,0, EMMA_h_4,1, EMMA_h_4,2], [EMMA_h_5,0, EMMA_h_5,1, EMMA_h_5,2]], [[EMMA_v_0,0, EMMA_v_0,1, EMMA_v_0,2, EMMA_v_0,3, EMMA_v_0,4, EMMA_v_0,5], [EMMA_v_1,0, EMMA_v_1,1, EMMA_v_1,2, EMMA_v_1,3, EMMA_v_1,4, EMMA_v_1,5], [EMMA_v_2,0, EMMA_v_2,1, EMMA_v_2,2, EMMA_v_2,3, EMMA_v_2,4, EMMA_v_2,5]]]\n",
|
|
"[[[ESTATE_h_0,0], [ESTATE_h_1,0], [ESTATE_h_2,0], [ESTATE_h_3,0], [ESTATE_h_4,0], [ESTATE_h_5,0]], [[ESTATE_v_0,0, ESTATE_v_0,1, ESTATE_v_0,2, ESTATE_v_0,3, ESTATE_v_0,4, ESTATE_v_0,5]]]\n",
|
|
"[[[BENNET_h_0,0], [BENNET_h_1,0], [BENNET_h_2,0], [BENNET_h_3,0], [BENNET_h_4,0], [BENNET_h_5,0]], [[BENNET_v_0,0, BENNET_v_0,1, BENNET_v_0,2, BENNET_v_0,3, BENNET_v_0,4, BENNET_v_0,5]]]\n",
|
|
"[[[BATH_h_0,0, BATH_h_0,1, BATH_h_0,2], [BATH_h_1,0, BATH_h_1,1, BATH_h_1,2], [BATH_h_2,0, BATH_h_2,1, BATH_h_2,2], [BATH_h_3,0, BATH_h_3,1, BATH_h_3,2], [BATH_h_4,0, BATH_h_4,1, BATH_h_4,2], [BATH_h_5,0, BATH_h_5,1, BATH_h_5,2]], [[BATH_v_0,0, BATH_v_0,1, BATH_v_0,2, BATH_v_0,3, BATH_v_0,4, BATH_v_0,5], [BATH_v_1,0, BATH_v_1,1, BATH_v_1,2, BATH_v_1,3, BATH_v_1,4, BATH_v_1,5], [BATH_v_2,0, BATH_v_2,1, BATH_v_2,2, BATH_v_2,3, BATH_v_2,4, BATH_v_2,5]]]\n",
|
|
"Executed in 0.5988 seconds\n",
|
|
"sat\n",
|
|
"╔═╤═╤═╤═╤═╤═╗\n",
|
|
"║█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█║\n",
|
|
"╚═╧═╧═╧═╧═╧═╝\n"
|
|
]
|
|
}
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"source": [
|
|
"These were some random words that I chose for an example. Here are some real words from an NY Times mini puzzle. You can see that it recovers the minimal possible solution correctly."
|
|
],
|
|
"metadata": {
|
|
"id": "kFQs0iZXmipH"
|
|
}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"words2 = ['GUM','TAB','ERA','END','IRA','MAP','TIMWALZ','ONE','ELI','COATS','POPHITS', \\\n",
|
|
" 'GOT', 'PIE','BIZ','SPA','ALLSTAR','UNICORN','MEMOPAD','WAH','TEATIME']\n",
|
|
"solve_crossword(words2, 7, add_constraint_set1, add_constraint_set2, add_constraint_set3, add_constraint_set4)"
|
|
],
|
|
"metadata": {
|
|
"colab": {
|
|
"base_uri": "https://localhost:8080/"
|
|
},
|
|
"id": "sDmahKMoldGi",
|
|
"outputId": "959eeb9a-3633-4b86-b94b-c80eb0f0f73a"
|
|
},
|
|
"execution_count": 35,
|
|
"outputs": [
|
|
{
|
|
"output_type": "stream",
|
|
"name": "stdout",
|
|
"text": [
|
|
"[[[GUM_h_0,0, GUM_h_0,1, GUM_h_0,2, GUM_h_0,3, GUM_h_0,4], [GUM_h_1,0, GUM_h_1,1, GUM_h_1,2, GUM_h_1,3, GUM_h_1,4], [GUM_h_2,0, GUM_h_2,1, GUM_h_2,2, GUM_h_2,3, GUM_h_2,4], [GUM_h_3,0, GUM_h_3,1, GUM_h_3,2, GUM_h_3,3, GUM_h_3,4], [GUM_h_4,0, GUM_h_4,1, GUM_h_4,2, GUM_h_4,3, GUM_h_4,4], [GUM_h_5,0, GUM_h_5,1, GUM_h_5,2, GUM_h_5,3, GUM_h_5,4], [GUM_h_6,0, GUM_h_6,1, GUM_h_6,2, GUM_h_6,3, GUM_h_6,4]], [[GUM_v_0,0, GUM_v_0,1, GUM_v_0,2, GUM_v_0,3, GUM_v_0,4, GUM_v_0,5, GUM_v_0,6], [GUM_v_1,0, GUM_v_1,1, GUM_v_1,2, GUM_v_1,3, GUM_v_1,4, GUM_v_1,5, GUM_v_1,6], [GUM_v_2,0, GUM_v_2,1, GUM_v_2,2, GUM_v_2,3, GUM_v_2,4, GUM_v_2,5, GUM_v_2,6], [GUM_v_3,0, GUM_v_3,1, GUM_v_3,2, GUM_v_3,3, GUM_v_3,4, GUM_v_3,5, GUM_v_3,6], [GUM_v_4,0, GUM_v_4,1, GUM_v_4,2, GUM_v_4,3, GUM_v_4,4, GUM_v_4,5, GUM_v_4,6]]]\n",
|
|
"[[[TAB_h_0,0, TAB_h_0,1, TAB_h_0,2, TAB_h_0,3, TAB_h_0,4], [TAB_h_1,0, TAB_h_1,1, TAB_h_1,2, TAB_h_1,3, TAB_h_1,4], [TAB_h_2,0, TAB_h_2,1, TAB_h_2,2, TAB_h_2,3, TAB_h_2,4], [TAB_h_3,0, TAB_h_3,1, TAB_h_3,2, TAB_h_3,3, TAB_h_3,4], [TAB_h_4,0, TAB_h_4,1, TAB_h_4,2, TAB_h_4,3, TAB_h_4,4], [TAB_h_5,0, TAB_h_5,1, TAB_h_5,2, TAB_h_5,3, TAB_h_5,4], [TAB_h_6,0, TAB_h_6,1, TAB_h_6,2, TAB_h_6,3, TAB_h_6,4]], [[TAB_v_0,0, TAB_v_0,1, TAB_v_0,2, TAB_v_0,3, TAB_v_0,4, TAB_v_0,5, TAB_v_0,6], [TAB_v_1,0, TAB_v_1,1, TAB_v_1,2, TAB_v_1,3, TAB_v_1,4, TAB_v_1,5, TAB_v_1,6], [TAB_v_2,0, TAB_v_2,1, TAB_v_2,2, TAB_v_2,3, TAB_v_2,4, TAB_v_2,5, TAB_v_2,6], [TAB_v_3,0, TAB_v_3,1, TAB_v_3,2, TAB_v_3,3, TAB_v_3,4, TAB_v_3,5, TAB_v_3,6], [TAB_v_4,0, TAB_v_4,1, TAB_v_4,2, TAB_v_4,3, TAB_v_4,4, TAB_v_4,5, TAB_v_4,6]]]\n",
|
|
"[[[ERA_h_0,0, ERA_h_0,1, ERA_h_0,2, ERA_h_0,3, ERA_h_0,4], [ERA_h_1,0, ERA_h_1,1, ERA_h_1,2, ERA_h_1,3, ERA_h_1,4], [ERA_h_2,0, ERA_h_2,1, ERA_h_2,2, ERA_h_2,3, ERA_h_2,4], [ERA_h_3,0, ERA_h_3,1, ERA_h_3,2, ERA_h_3,3, ERA_h_3,4], [ERA_h_4,0, ERA_h_4,1, ERA_h_4,2, ERA_h_4,3, ERA_h_4,4], [ERA_h_5,0, ERA_h_5,1, ERA_h_5,2, ERA_h_5,3, ERA_h_5,4], [ERA_h_6,0, ERA_h_6,1, ERA_h_6,2, ERA_h_6,3, ERA_h_6,4]], [[ERA_v_0,0, ERA_v_0,1, ERA_v_0,2, ERA_v_0,3, ERA_v_0,4, ERA_v_0,5, ERA_v_0,6], [ERA_v_1,0, ERA_v_1,1, ERA_v_1,2, ERA_v_1,3, ERA_v_1,4, ERA_v_1,5, ERA_v_1,6], [ERA_v_2,0, ERA_v_2,1, ERA_v_2,2, ERA_v_2,3, ERA_v_2,4, ERA_v_2,5, ERA_v_2,6], [ERA_v_3,0, ERA_v_3,1, ERA_v_3,2, ERA_v_3,3, ERA_v_3,4, ERA_v_3,5, ERA_v_3,6], [ERA_v_4,0, ERA_v_4,1, ERA_v_4,2, ERA_v_4,3, ERA_v_4,4, ERA_v_4,5, ERA_v_4,6]]]\n",
|
|
"[[[END_h_0,0, END_h_0,1, END_h_0,2, END_h_0,3, END_h_0,4], [END_h_1,0, END_h_1,1, END_h_1,2, END_h_1,3, END_h_1,4], [END_h_2,0, END_h_2,1, END_h_2,2, END_h_2,3, END_h_2,4], [END_h_3,0, END_h_3,1, END_h_3,2, END_h_3,3, END_h_3,4], [END_h_4,0, END_h_4,1, END_h_4,2, END_h_4,3, END_h_4,4], [END_h_5,0, END_h_5,1, END_h_5,2, END_h_5,3, END_h_5,4], [END_h_6,0, END_h_6,1, END_h_6,2, END_h_6,3, END_h_6,4]], [[END_v_0,0, END_v_0,1, END_v_0,2, END_v_0,3, END_v_0,4, END_v_0,5, END_v_0,6], [END_v_1,0, END_v_1,1, END_v_1,2, END_v_1,3, END_v_1,4, END_v_1,5, END_v_1,6], [END_v_2,0, END_v_2,1, END_v_2,2, END_v_2,3, END_v_2,4, END_v_2,5, END_v_2,6], [END_v_3,0, END_v_3,1, END_v_3,2, END_v_3,3, END_v_3,4, END_v_3,5, END_v_3,6], [END_v_4,0, END_v_4,1, END_v_4,2, END_v_4,3, END_v_4,4, END_v_4,5, END_v_4,6]]]\n",
|
|
"[[[IRA_h_0,0, IRA_h_0,1, IRA_h_0,2, IRA_h_0,3, IRA_h_0,4], [IRA_h_1,0, IRA_h_1,1, IRA_h_1,2, IRA_h_1,3, IRA_h_1,4], [IRA_h_2,0, IRA_h_2,1, IRA_h_2,2, IRA_h_2,3, IRA_h_2,4], [IRA_h_3,0, IRA_h_3,1, IRA_h_3,2, IRA_h_3,3, IRA_h_3,4], [IRA_h_4,0, IRA_h_4,1, IRA_h_4,2, IRA_h_4,3, IRA_h_4,4], [IRA_h_5,0, IRA_h_5,1, IRA_h_5,2, IRA_h_5,3, IRA_h_5,4], [IRA_h_6,0, IRA_h_6,1, IRA_h_6,2, IRA_h_6,3, IRA_h_6,4]], [[IRA_v_0,0, IRA_v_0,1, IRA_v_0,2, IRA_v_0,3, IRA_v_0,4, IRA_v_0,5, IRA_v_0,6], [IRA_v_1,0, IRA_v_1,1, IRA_v_1,2, IRA_v_1,3, IRA_v_1,4, IRA_v_1,5, IRA_v_1,6], [IRA_v_2,0, IRA_v_2,1, IRA_v_2,2, IRA_v_2,3, IRA_v_2,4, IRA_v_2,5, IRA_v_2,6], [IRA_v_3,0, IRA_v_3,1, IRA_v_3,2, IRA_v_3,3, IRA_v_3,4, IRA_v_3,5, IRA_v_3,6], [IRA_v_4,0, IRA_v_4,1, IRA_v_4,2, IRA_v_4,3, IRA_v_4,4, IRA_v_4,5, IRA_v_4,6]]]\n",
|
|
"[[[MAP_h_0,0, MAP_h_0,1, MAP_h_0,2, MAP_h_0,3, MAP_h_0,4], [MAP_h_1,0, MAP_h_1,1, MAP_h_1,2, MAP_h_1,3, MAP_h_1,4], [MAP_h_2,0, MAP_h_2,1, MAP_h_2,2, MAP_h_2,3, MAP_h_2,4], [MAP_h_3,0, MAP_h_3,1, MAP_h_3,2, MAP_h_3,3, MAP_h_3,4], [MAP_h_4,0, MAP_h_4,1, MAP_h_4,2, MAP_h_4,3, MAP_h_4,4], [MAP_h_5,0, MAP_h_5,1, MAP_h_5,2, MAP_h_5,3, MAP_h_5,4], [MAP_h_6,0, MAP_h_6,1, MAP_h_6,2, MAP_h_6,3, MAP_h_6,4]], [[MAP_v_0,0, MAP_v_0,1, MAP_v_0,2, MAP_v_0,3, MAP_v_0,4, MAP_v_0,5, MAP_v_0,6], [MAP_v_1,0, MAP_v_1,1, MAP_v_1,2, MAP_v_1,3, MAP_v_1,4, MAP_v_1,5, MAP_v_1,6], [MAP_v_2,0, MAP_v_2,1, MAP_v_2,2, MAP_v_2,3, MAP_v_2,4, MAP_v_2,5, MAP_v_2,6], [MAP_v_3,0, MAP_v_3,1, MAP_v_3,2, MAP_v_3,3, MAP_v_3,4, MAP_v_3,5, MAP_v_3,6], [MAP_v_4,0, MAP_v_4,1, MAP_v_4,2, MAP_v_4,3, MAP_v_4,4, MAP_v_4,5, MAP_v_4,6]]]\n",
|
|
"[[[TIMWALZ_h_0,0], [TIMWALZ_h_1,0], [TIMWALZ_h_2,0], [TIMWALZ_h_3,0], [TIMWALZ_h_4,0], [TIMWALZ_h_5,0], [TIMWALZ_h_6,0]], [[TIMWALZ_v_0,0, TIMWALZ_v_0,1, TIMWALZ_v_0,2, TIMWALZ_v_0,3, TIMWALZ_v_0,4, TIMWALZ_v_0,5, TIMWALZ_v_0,6]]]\n",
|
|
"[[[ONE_h_0,0, ONE_h_0,1, ONE_h_0,2, ONE_h_0,3, ONE_h_0,4], [ONE_h_1,0, ONE_h_1,1, ONE_h_1,2, ONE_h_1,3, ONE_h_1,4], [ONE_h_2,0, ONE_h_2,1, ONE_h_2,2, ONE_h_2,3, ONE_h_2,4], [ONE_h_3,0, ONE_h_3,1, ONE_h_3,2, ONE_h_3,3, ONE_h_3,4], [ONE_h_4,0, ONE_h_4,1, ONE_h_4,2, ONE_h_4,3, ONE_h_4,4], [ONE_h_5,0, ONE_h_5,1, ONE_h_5,2, ONE_h_5,3, ONE_h_5,4], [ONE_h_6,0, ONE_h_6,1, ONE_h_6,2, ONE_h_6,3, ONE_h_6,4]], [[ONE_v_0,0, ONE_v_0,1, ONE_v_0,2, ONE_v_0,3, ONE_v_0,4, ONE_v_0,5, ONE_v_0,6], [ONE_v_1,0, ONE_v_1,1, ONE_v_1,2, ONE_v_1,3, ONE_v_1,4, ONE_v_1,5, ONE_v_1,6], [ONE_v_2,0, ONE_v_2,1, ONE_v_2,2, ONE_v_2,3, ONE_v_2,4, ONE_v_2,5, ONE_v_2,6], [ONE_v_3,0, ONE_v_3,1, ONE_v_3,2, ONE_v_3,3, ONE_v_3,4, ONE_v_3,5, ONE_v_3,6], [ONE_v_4,0, ONE_v_4,1, ONE_v_4,2, ONE_v_4,3, ONE_v_4,4, ONE_v_4,5, ONE_v_4,6]]]\n",
|
|
"[[[ELI_h_0,0, ELI_h_0,1, ELI_h_0,2, ELI_h_0,3, ELI_h_0,4], [ELI_h_1,0, ELI_h_1,1, ELI_h_1,2, ELI_h_1,3, ELI_h_1,4], [ELI_h_2,0, ELI_h_2,1, ELI_h_2,2, ELI_h_2,3, ELI_h_2,4], [ELI_h_3,0, ELI_h_3,1, ELI_h_3,2, ELI_h_3,3, ELI_h_3,4], [ELI_h_4,0, ELI_h_4,1, ELI_h_4,2, ELI_h_4,3, ELI_h_4,4], [ELI_h_5,0, ELI_h_5,1, ELI_h_5,2, ELI_h_5,3, ELI_h_5,4], [ELI_h_6,0, ELI_h_6,1, ELI_h_6,2, ELI_h_6,3, ELI_h_6,4]], [[ELI_v_0,0, ELI_v_0,1, ELI_v_0,2, ELI_v_0,3, ELI_v_0,4, ELI_v_0,5, ELI_v_0,6], [ELI_v_1,0, ELI_v_1,1, ELI_v_1,2, ELI_v_1,3, ELI_v_1,4, ELI_v_1,5, ELI_v_1,6], [ELI_v_2,0, ELI_v_2,1, ELI_v_2,2, ELI_v_2,3, ELI_v_2,4, ELI_v_2,5, ELI_v_2,6], [ELI_v_3,0, ELI_v_3,1, ELI_v_3,2, ELI_v_3,3, ELI_v_3,4, ELI_v_3,5, ELI_v_3,6], [ELI_v_4,0, ELI_v_4,1, ELI_v_4,2, ELI_v_4,3, ELI_v_4,4, ELI_v_4,5, ELI_v_4,6]]]\n",
|
|
"[[[COATS_h_0,0, COATS_h_0,1, COATS_h_0,2], [COATS_h_1,0, COATS_h_1,1, COATS_h_1,2], [COATS_h_2,0, COATS_h_2,1, COATS_h_2,2], [COATS_h_3,0, COATS_h_3,1, COATS_h_3,2], [COATS_h_4,0, COATS_h_4,1, COATS_h_4,2], [COATS_h_5,0, COATS_h_5,1, COATS_h_5,2], [COATS_h_6,0, COATS_h_6,1, COATS_h_6,2]], [[COATS_v_0,0, COATS_v_0,1, COATS_v_0,2, COATS_v_0,3, COATS_v_0,4, COATS_v_0,5, COATS_v_0,6], [COATS_v_1,0, COATS_v_1,1, COATS_v_1,2, COATS_v_1,3, COATS_v_1,4, COATS_v_1,5, COATS_v_1,6], [COATS_v_2,0, COATS_v_2,1, COATS_v_2,2, COATS_v_2,3, COATS_v_2,4, COATS_v_2,5, COATS_v_2,6]]]\n",
|
|
"[[[POPHITS_h_0,0], [POPHITS_h_1,0], [POPHITS_h_2,0], [POPHITS_h_3,0], [POPHITS_h_4,0], [POPHITS_h_5,0], [POPHITS_h_6,0]], [[POPHITS_v_0,0, POPHITS_v_0,1, POPHITS_v_0,2, POPHITS_v_0,3, POPHITS_v_0,4, POPHITS_v_0,5, POPHITS_v_0,6]]]\n",
|
|
"[[[GOT_h_0,0, GOT_h_0,1, GOT_h_0,2, GOT_h_0,3, GOT_h_0,4], [GOT_h_1,0, GOT_h_1,1, GOT_h_1,2, GOT_h_1,3, GOT_h_1,4], [GOT_h_2,0, GOT_h_2,1, GOT_h_2,2, GOT_h_2,3, GOT_h_2,4], [GOT_h_3,0, GOT_h_3,1, GOT_h_3,2, GOT_h_3,3, GOT_h_3,4], [GOT_h_4,0, GOT_h_4,1, GOT_h_4,2, GOT_h_4,3, GOT_h_4,4], [GOT_h_5,0, GOT_h_5,1, GOT_h_5,2, GOT_h_5,3, GOT_h_5,4], [GOT_h_6,0, GOT_h_6,1, GOT_h_6,2, GOT_h_6,3, GOT_h_6,4]], [[GOT_v_0,0, GOT_v_0,1, GOT_v_0,2, GOT_v_0,3, GOT_v_0,4, GOT_v_0,5, GOT_v_0,6], [GOT_v_1,0, GOT_v_1,1, GOT_v_1,2, GOT_v_1,3, GOT_v_1,4, GOT_v_1,5, GOT_v_1,6], [GOT_v_2,0, GOT_v_2,1, GOT_v_2,2, GOT_v_2,3, GOT_v_2,4, GOT_v_2,5, GOT_v_2,6], [GOT_v_3,0, GOT_v_3,1, GOT_v_3,2, GOT_v_3,3, GOT_v_3,4, GOT_v_3,5, GOT_v_3,6], [GOT_v_4,0, GOT_v_4,1, GOT_v_4,2, GOT_v_4,3, GOT_v_4,4, GOT_v_4,5, GOT_v_4,6]]]\n",
|
|
"[[[PIE_h_0,0, PIE_h_0,1, PIE_h_0,2, PIE_h_0,3, PIE_h_0,4], [PIE_h_1,0, PIE_h_1,1, PIE_h_1,2, PIE_h_1,3, PIE_h_1,4], [PIE_h_2,0, PIE_h_2,1, PIE_h_2,2, PIE_h_2,3, PIE_h_2,4], [PIE_h_3,0, PIE_h_3,1, PIE_h_3,2, PIE_h_3,3, PIE_h_3,4], [PIE_h_4,0, PIE_h_4,1, PIE_h_4,2, PIE_h_4,3, PIE_h_4,4], [PIE_h_5,0, PIE_h_5,1, PIE_h_5,2, PIE_h_5,3, PIE_h_5,4], [PIE_h_6,0, PIE_h_6,1, PIE_h_6,2, PIE_h_6,3, PIE_h_6,4]], [[PIE_v_0,0, PIE_v_0,1, PIE_v_0,2, PIE_v_0,3, PIE_v_0,4, PIE_v_0,5, PIE_v_0,6], [PIE_v_1,0, PIE_v_1,1, PIE_v_1,2, PIE_v_1,3, PIE_v_1,4, PIE_v_1,5, PIE_v_1,6], [PIE_v_2,0, PIE_v_2,1, PIE_v_2,2, PIE_v_2,3, PIE_v_2,4, PIE_v_2,5, PIE_v_2,6], [PIE_v_3,0, PIE_v_3,1, PIE_v_3,2, PIE_v_3,3, PIE_v_3,4, PIE_v_3,5, PIE_v_3,6], [PIE_v_4,0, PIE_v_4,1, PIE_v_4,2, PIE_v_4,3, PIE_v_4,4, PIE_v_4,5, PIE_v_4,6]]]\n",
|
|
"[[[BIZ_h_0,0, BIZ_h_0,1, BIZ_h_0,2, BIZ_h_0,3, BIZ_h_0,4], [BIZ_h_1,0, BIZ_h_1,1, BIZ_h_1,2, BIZ_h_1,3, BIZ_h_1,4], [BIZ_h_2,0, BIZ_h_2,1, BIZ_h_2,2, BIZ_h_2,3, BIZ_h_2,4], [BIZ_h_3,0, BIZ_h_3,1, BIZ_h_3,2, BIZ_h_3,3, BIZ_h_3,4], [BIZ_h_4,0, BIZ_h_4,1, BIZ_h_4,2, BIZ_h_4,3, BIZ_h_4,4], [BIZ_h_5,0, BIZ_h_5,1, BIZ_h_5,2, BIZ_h_5,3, BIZ_h_5,4], [BIZ_h_6,0, BIZ_h_6,1, BIZ_h_6,2, BIZ_h_6,3, BIZ_h_6,4]], [[BIZ_v_0,0, BIZ_v_0,1, BIZ_v_0,2, BIZ_v_0,3, BIZ_v_0,4, BIZ_v_0,5, BIZ_v_0,6], [BIZ_v_1,0, BIZ_v_1,1, BIZ_v_1,2, BIZ_v_1,3, BIZ_v_1,4, BIZ_v_1,5, BIZ_v_1,6], [BIZ_v_2,0, BIZ_v_2,1, BIZ_v_2,2, BIZ_v_2,3, BIZ_v_2,4, BIZ_v_2,5, BIZ_v_2,6], [BIZ_v_3,0, BIZ_v_3,1, BIZ_v_3,2, BIZ_v_3,3, BIZ_v_3,4, BIZ_v_3,5, BIZ_v_3,6], [BIZ_v_4,0, BIZ_v_4,1, BIZ_v_4,2, BIZ_v_4,3, BIZ_v_4,4, BIZ_v_4,5, BIZ_v_4,6]]]\n",
|
|
"[[[SPA_h_0,0, SPA_h_0,1, SPA_h_0,2, SPA_h_0,3, SPA_h_0,4], [SPA_h_1,0, SPA_h_1,1, SPA_h_1,2, SPA_h_1,3, SPA_h_1,4], [SPA_h_2,0, SPA_h_2,1, SPA_h_2,2, SPA_h_2,3, SPA_h_2,4], [SPA_h_3,0, SPA_h_3,1, SPA_h_3,2, SPA_h_3,3, SPA_h_3,4], [SPA_h_4,0, SPA_h_4,1, SPA_h_4,2, SPA_h_4,3, SPA_h_4,4], [SPA_h_5,0, SPA_h_5,1, SPA_h_5,2, SPA_h_5,3, SPA_h_5,4], [SPA_h_6,0, SPA_h_6,1, SPA_h_6,2, SPA_h_6,3, SPA_h_6,4]], [[SPA_v_0,0, SPA_v_0,1, SPA_v_0,2, SPA_v_0,3, SPA_v_0,4, SPA_v_0,5, SPA_v_0,6], [SPA_v_1,0, SPA_v_1,1, SPA_v_1,2, SPA_v_1,3, SPA_v_1,4, SPA_v_1,5, SPA_v_1,6], [SPA_v_2,0, SPA_v_2,1, SPA_v_2,2, SPA_v_2,3, SPA_v_2,4, SPA_v_2,5, SPA_v_2,6], [SPA_v_3,0, SPA_v_3,1, SPA_v_3,2, SPA_v_3,3, SPA_v_3,4, SPA_v_3,5, SPA_v_3,6], [SPA_v_4,0, SPA_v_4,1, SPA_v_4,2, SPA_v_4,3, SPA_v_4,4, SPA_v_4,5, SPA_v_4,6]]]\n",
|
|
"[[[ALLSTAR_h_0,0], [ALLSTAR_h_1,0], [ALLSTAR_h_2,0], [ALLSTAR_h_3,0], [ALLSTAR_h_4,0], [ALLSTAR_h_5,0], [ALLSTAR_h_6,0]], [[ALLSTAR_v_0,0, ALLSTAR_v_0,1, ALLSTAR_v_0,2, ALLSTAR_v_0,3, ALLSTAR_v_0,4, ALLSTAR_v_0,5, ALLSTAR_v_0,6]]]\n",
|
|
"[[[UNICORN_h_0,0], [UNICORN_h_1,0], [UNICORN_h_2,0], [UNICORN_h_3,0], [UNICORN_h_4,0], [UNICORN_h_5,0], [UNICORN_h_6,0]], [[UNICORN_v_0,0, UNICORN_v_0,1, UNICORN_v_0,2, UNICORN_v_0,3, UNICORN_v_0,4, UNICORN_v_0,5, UNICORN_v_0,6]]]\n",
|
|
"[[[MEMOPAD_h_0,0], [MEMOPAD_h_1,0], [MEMOPAD_h_2,0], [MEMOPAD_h_3,0], [MEMOPAD_h_4,0], [MEMOPAD_h_5,0], [MEMOPAD_h_6,0]], [[MEMOPAD_v_0,0, MEMOPAD_v_0,1, MEMOPAD_v_0,2, MEMOPAD_v_0,3, MEMOPAD_v_0,4, MEMOPAD_v_0,5, MEMOPAD_v_0,6]]]\n",
|
|
"[[[WAH_h_0,0, WAH_h_0,1, WAH_h_0,2, WAH_h_0,3, WAH_h_0,4], [WAH_h_1,0, WAH_h_1,1, WAH_h_1,2, WAH_h_1,3, WAH_h_1,4], [WAH_h_2,0, WAH_h_2,1, WAH_h_2,2, WAH_h_2,3, WAH_h_2,4], [WAH_h_3,0, WAH_h_3,1, WAH_h_3,2, WAH_h_3,3, WAH_h_3,4], [WAH_h_4,0, WAH_h_4,1, WAH_h_4,2, WAH_h_4,3, WAH_h_4,4], [WAH_h_5,0, WAH_h_5,1, WAH_h_5,2, WAH_h_5,3, WAH_h_5,4], [WAH_h_6,0, WAH_h_6,1, WAH_h_6,2, WAH_h_6,3, WAH_h_6,4]], [[WAH_v_0,0, WAH_v_0,1, WAH_v_0,2, WAH_v_0,3, WAH_v_0,4, WAH_v_0,5, WAH_v_0,6], [WAH_v_1,0, WAH_v_1,1, WAH_v_1,2, WAH_v_1,3, WAH_v_1,4, WAH_v_1,5, WAH_v_1,6], [WAH_v_2,0, WAH_v_2,1, WAH_v_2,2, WAH_v_2,3, WAH_v_2,4, WAH_v_2,5, WAH_v_2,6], [WAH_v_3,0, WAH_v_3,1, WAH_v_3,2, WAH_v_3,3, WAH_v_3,4, WAH_v_3,5, WAH_v_3,6], [WAH_v_4,0, WAH_v_4,1, WAH_v_4,2, WAH_v_4,3, WAH_v_4,4, WAH_v_4,5, WAH_v_4,6]]]\n",
|
|
"[[[TEATIME_h_0,0], [TEATIME_h_1,0], [TEATIME_h_2,0], [TEATIME_h_3,0], [TEATIME_h_4,0], [TEATIME_h_5,0], [TEATIME_h_6,0]], [[TEATIME_v_0,0, TEATIME_v_0,1, TEATIME_v_0,2, TEATIME_v_0,3, TEATIME_v_0,4, TEATIME_v_0,5, TEATIME_v_0,6]]]\n",
|
|
"Executed in 6.0718 seconds\n",
|
|
"sat\n",
|
|
"╔═╤═╤═╤═╤═╤═╤═╗\n",
|
|
"║█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█║\n",
|
|
"║█│█│█│█│█│█│█║\n",
|
|
"╚═╧═╧═╧═╧═╧═╧═╝\n"
|
|
]
|
|
}
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"source": [
|
|
"Further work for keeners:\n",
|
|
"\n",
|
|
"1. Technically, we should also put in a constraint to stop two words starting in the same place. For example, the current solver would allow the words 'EAT' and 'EATEN' to start in the same place and overlap. Add this constraint.\n",
|
|
"\n",
|
|
"2. As proposed, this is fairly impractical to help make crosswords. It would be more useful to have a superset of answers and allow the SAT solver to choose from these to make a sensible crossword. You would then ask the SAT solver to build an crossword of size $N$ that included at least $W$ words. Add this feature.\n"
|
|
],
|
|
"metadata": {
|
|
"id": "c2ZiS3OgzHXW"
|
|
}
|
|
}
|
|
]
|
|
} |