n00b_A_star.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Load some daters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "from ast import literal_eval\n",
    "from pathlib import Path\n",
    "from pprint import pprint\n",
    "from sympy.combinatorics import Permutation\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# local data_dir\n",
    "data_dir = Path(\"data\")\n",
    "\n",
    "puzzle_info = pd.read_csv(data_dir / 'puzzle_info.csv', index_col='puzzle_type')\n",
    "# Parse allowed_moves\n",
    "puzzle_info['allowed_moves'] = puzzle_info['allowed_moves'].apply(literal_eval)\n",
    "# puzzle_info_df['total_allowed_moves'] = puzzle_info_df['allowed_moves_dict'].apply(lambda x: len(x.keys()))\n",
    "puzzle_info['number_moves'] = puzzle_info['allowed_moves'].apply(lambda x: len(x.keys()))\n",
    "\n",
    "puzzles_all = pd.read_csv(data_dir / 'puzzles.csv', index_col='id')\n",
    "# Parse color states\n",
    "puzzles_all = puzzles_all.assign(\n",
    "    initial_state=lambda df: df['initial_state'].str.split(';'),\n",
    "    solution_state=lambda df: df['solution_state'].str.split(';')\n",
    ")\n",
    "\n",
    "puzzles_all['total_components'] = puzzles_all['solution_state'].apply(len)\n",
    "puzzles_all['all_unique_components'] = puzzles_all['solution_state'].apply(lambda x: np.unique(x))\n",
    "puzzles_all['unique_components'] = puzzles_all['all_unique_components'].apply(len)\n",
    "\n",
    "# load the sample_submission\n",
    "ss = pd.read_csv(data_dir / 'sample_submission.csv', index_col='id')\n",
    "ss['moves'] = ss['moves'].str.split('.')\n",
    "ss['move_count'] = ss['moves'].apply(len)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                                                 moves  move_count\n",
      "id                                                                \n",
      "0                                            [r1, -f1]           2\n",
      "1    [f1, d0, -r0, -f1, -d0, -f1, d0, -r0, f0, -f1,...          63\n",
      "2    [f1, d0, -d1, r0, -d1, -f0, f1, -r0, -f0, -r1,...          62\n",
      "3    [-f0, -r0, -f0, -d0, -f0, f1, r0, -d1, -r0, -r...          92\n",
      "4    [d1, -f1, d1, r1, -f0, d1, -d0, -r1, d1, d1, -...          70\n",
      "..                                                 ...         ...\n",
      "393  [f19, f21, -f39, f20, f2, -f5, f7, -r3, f55, -...       30596\n",
      "394  [-f31, -f22, f16, -f17, -f13, -f24, -f14, f2, ...       28971\n",
      "395  [-r0, -f42, -f8, f16, -f49, f14, -f1, f56, f26...       28876\n",
      "396  [f25, -f29, f46, f49, -f8, f27, f26, -f20, f2,...       26402\n",
      "397  [-r1, f23, -f24, -r2, f30, f30, f38, -f19, f24...       21111\n",
      "\n",
      "[398 rows x 2 columns]\n",
      "282\n",
      "puzzle_type                                                  cube_33/33/33\n",
      "solution_state           [A, B, A, B, A, B, A, B, A, B, A, B, A, B, A, ...\n",
      "initial_state            [F, B, A, F, A, C, B, B, C, B, B, A, E, F, A, ...\n",
      "num_wildcards                                                            0\n",
      "total_components                                                      6534\n",
      "all_unique_components                                   [A, B, C, D, E, F]\n",
      "unique_components                                                        6\n",
      "Name: 282, dtype: object\n"
     ]
    },
    {
     "data": {
      "image/png": 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YYI8QqY1BiIiIFCNNlu7oEfIzCJHKGISIiEgxPU6fZxAilTEIERGRYnj6PAUbBiEiIlIM9xGiYMMgREREyunoANJqNF2/JFINgxARESnG3zE21pGDpKEyIrUwCBERkWICwUcXSEIABNMQqYhBiIiIFNN9Q0WAvUKkLgYhIiJSTCD0aLr2CKlUFyKAQYiIiBQUWDXWpUOIQ2OkKgYhIiJSjOi2agxgjxCpi0GIiIgUE+j94RwhChYMQkREpJhA5tF0HRpjnxCpiEGIiIgU0+vQGHMQqYhBiIiIFNPbZGkiNTEIERGRYgJnrGq7JCE/u4RIRQxCRESkmN53llapMkRgECIiIkUFhsa4fJ6CA4MQEREppnOydNdrjEKkHgYhIiJSTOfp8+wRouDAIERERIqR5ghxQ0UKEgxCRESkmEDmkS2fZxAiFV1zEDpw4ABWrFgBm80GjUaD1157TXZfCIHNmzfDZrPBbDZj0aJFOHHihKyM2+3G2rVrER8fj6ioKKxcuRIXLlyQlbHb7cjMzITFYoHFYkFmZiYaGhpkZSorK7FixQpERUUhPj4e69atg8fjkZU5fvw4Fi5cCLPZjPHjx+Opp57ieDQRkUp6P32e/yaTeq45CDU3N2P27NnIzc3t9f7TTz+NHTt2IDc3F0ePHoXVasXSpUvR2NgolcnOzkZ+fj7y8vJQXFyMpqYmpKenw+fzSWUyMjJQVlaGgoICFBQUoKysDJmZmdJ9n8+H5cuXo7m5GcXFxcjLy8PevXuRk5MjlXE6nVi6dClsNhuOHj2KZ599Ftu3b8eOHTuutdlERDQERG+rxpiDSE3iSwAg8vPzpa/9fr+wWq1i27Zt0jWXyyUsFot44YUXhBBCNDQ0CIPBIPLy8qQy1dXVQqvVioKCAiGEECdPnhQARElJiVTm0KFDAoA4deqUEEKIffv2Ca1WK6qrq6Uye/bsESaTSTgcDiGEEM8995ywWCzC5XJJZbZu3SpsNpvw+/29tsnlcgmHwyF9VFVVCQDScxIR0ReXnXdMTNr4hnhx/6di0sY3xKSNb4grja6BH0h0jRwOx6Dev4d0jlBFRQVqa2uRlpYmXTOZTFi4cCEOHjwIACgtLYXX65WVsdlsSE5OlsocOnQIFosFc+fOlcrMmzcPFotFViY5ORk2m00qc9ddd8HtdqO0tFQqs3DhQphMJlmZixcv4ty5c722YevWrdJwnMViQVJS0pf8UyEiogAhuI8QBZchDUK1tbUAgMTERNn1xMRE6V5tbS2MRiNiY2P7LZOQkNDj+RMSEmRlun+f2NhYGI3GfssEvg6U6W7Tpk1wOBzSR1VV1cANJyKiQekt9HBojNSkH44n7ToJDmj/DaD7te66l+mt/FCUEb3sYdGVyWSS9SAREdHQ6TpZWqNp/5qTpUlNQ9ojZLVaAfTsbamrq5N6YqxWKzweD+x2e79lLl261OP5L1++LCvT/fvY7XZ4vd5+y9TV1QHo2WtFRETDT9pQseMDAMfGSFVDGoSmTJkCq9WKoqIi6ZrH48H+/fsxf/58AEBKSgoMBoOsTE1NDcrLy6UyqampcDgcOHLkiFTm8OHDcDgcsjLl5eWoqamRyhQWFsJkMiElJUUqc+DAAdmS+sLCQthsNkyePHkom05ERIPQdR+hQM88cxCp6ZqDUFNTE8rKylBWVgagfYJ0WVkZKisrodFokJ2djS1btiA/Px/l5eV48MEHERkZiYyMDACAxWLBQw89hJycHLz99ts4duwYHnjgAcyaNQtLliwBAMyYMQPLli1DVlYWSkpKUFJSgqysLKSnp2PatGkAgLS0NMycOROZmZk4duwY3n77bWzYsAFZWVmIiYkB0L4E32Qy4cEHH0R5eTny8/OxZcsWrF+/fsChOiIiGgZdh8YCl5iESEXXPEfogw8+wJ133il9vX79egDA6tWrsWvXLjz55JNobW3FmjVrYLfbMXfuXBQWFiI6Olp6zM6dO6HX67Fq1Sq0trZi8eLF2LVrF3Q6nVRm9+7dWLdunbS6bOXKlbK9i3Q6Hd58802sWbMGCxYsgNlsRkZGBrZv3y6VsVgsKCoqwqOPPoo5c+YgNjYW69evl+pMRETKCswH0mjaP7peI1KDRghm8f44nU5YLBY4HA6pp4mIiL6Y771cirfKa/Hze27Ez9/4BB6fHwd/8HXYRpvVrhqFmMG+f/OsMSIiUkzX0+cDPUJ+/j5OKmIQIiIixXQun+8yNMYcRCpiECIiIsUEMo+m439EamMQIiIixbBHiIINgxARESlG9LKhIleNkZoYhIiISDGdGypqOjdUZA4iFTEIERGRYqQdWzRde4SI1MMgREREiumcLA0pCXE7O1ITgxARESlG9HbEhmq1IWIQIiIiBclOn5fmCDEKkXoYhIiISHFabfsJ9AAnS5O6GISIiEgxnXOlu6waU7E+RAxCRESkGNnp84FrTEKkIgYhIiJSTNfQI+0szT4hUhGDEBERKSYwWVqr6dxbmj1CpCYGISIiUgzPGqNgwyBERESKkZ8+H7jGJETqYRAiIiLlsEeIggyDEBERKUa2oSLnCFEQYBAiIiLFSENjGk3nhoocGiMVMQgREZFiAsdptA+NsUeI1McgREREipGdPt/tGpEaGISIiEgxstPnpcnSjEKkHgYhIiJSjJCdPt9xTb3qEDEIERGRcgKhR6vlqjEKDgxCRESkGPnp89JVtapDxCBERETKkZbK8/R5ChIMQkREpBi/v/2/7XOE2qOQn0GIVMQgREREipHmCHHVGAUJBiEiIlKMbEPFwDX1qkPEIERERMprnyzNVWOkPgYhIiJSjOh6+nzgGvuESEUMQkREpBh/LxsqMgeRmhiEiIhIMV1Pn5c2VFSvOkQMQkREpBz56fOBaypWiMIegxARESmm99PnmYRIPQxCRESkHNnp89xQkdQ35EGora0NP/rRjzBlyhSYzWZcd911eOqpp+APbCeK9q7RzZs3w2azwWw2Y9GiRThx4oTsedxuN9auXYv4+HhERUVh5cqVuHDhgqyM3W5HZmYmLBYLLBYLMjMz0dDQICtTWVmJFStWICoqCvHx8Vi3bh08Hs9QN5uIiAbB39s+QhwbIxUNeRD61a9+hRdeeAG5ubn45JNP8PTTT+OZZ57Bs88+K5V5+umnsWPHDuTm5uLo0aOwWq1YunQpGhsbpTLZ2dnIz89HXl4eiouL0dTUhPT0dPh8PqlMRkYGysrKUFBQgIKCApSVlSEzM1O67/P5sHz5cjQ3N6O4uBh5eXnYu3cvcnJyhrrZREQ0CJ07S7efQN/1GpEqxBBbvny5+M53viO7dt9994kHHnhACCGE3+8XVqtVbNu2TbrvcrmExWIRL7zwghBCiIaGBmEwGEReXp5Uprq6Wmi1WlFQUCCEEOLkyZMCgCgpKZHKHDp0SAAQp06dEkIIsW/fPqHVakV1dbVUZs+ePcJkMgmHw9Fr/V0ul3A4HNJHVVWVANBneSIiGrw7fvWOmLTxDfHBuXqR/tv3xKSNb4h3PrmkdrUoBDkcjkG9fw95j9Dtt9+Ot99+G2fOnAEAfPTRRyguLsY//MM/AAAqKipQW1uLtLQ06TEmkwkLFy7EwYMHAQClpaXwer2yMjabDcnJyVKZQ4cOwWKxYO7cuVKZefPmwWKxyMokJyfDZrNJZe666y643W6Ulpb2Wv+tW7dKQ20WiwVJSUlD8cdCRETonBgtWzXGPiFSkX6on3Djxo1wOByYPn06dDodfD4ffvnLX+Lb3/42AKC2thYAkJiYKHtcYmIizp8/L5UxGo2IjY3tUSbw+NraWiQkJPT4/gkJCbIy3b9PbGwsjEajVKa7TZs2Yf369dLXTqeTYYiIaIjITp/vuMYpQqSmIQ9Cr7zyCl5++WX8+c9/xo033oiysjJkZ2fDZrNh9erVUjmNRiN7nBCix7XuupfprfwXKdOVyWSCyWTqtx5ERPTlaLt0CTEIkZqGfGjsiSeewA9+8AN861vfwqxZs5CZmYnvf//72Lp1KwDAarUCQI8embq6Oqn3xmq1wuPxwG6391vm0qVLPb7/5cuXZWW6fx+73Q6v19ujp4iIiIaf4OnzFGSGPAi1tLRAq5U/rU6nk5bPT5kyBVarFUVFRdJ9j8eD/fv3Y/78+QCAlJQUGAwGWZmamhqUl5dLZVJTU+FwOHDkyBGpzOHDh+FwOGRlysvLUVNTI5UpLCyEyWRCSkrKELeciIgG0rmhoqbLztKMQqSeIR8aW7FiBX75y19i4sSJuPHGG3Hs2DHs2LED3/nOdwC0D1VlZ2djy5YtmDp1KqZOnYotW7YgMjISGRkZAACLxYKHHnoIOTk5GDNmDOLi4rBhwwbMmjULS5YsAQDMmDEDy5YtQ1ZWFl588UUAwMMPP4z09HRMmzYNAJCWloaZM2ciMzMTzzzzDOrr67FhwwZkZWUhJiZmqJtOREQD6O30eW6oSGoa8iD07LPP4sc//jHWrFmDuro62Gw2fPe738VPfvITqcyTTz6J1tZWrFmzBna7HXPnzkVhYSGio6OlMjt37oRer8eqVavQ2tqKxYsXY9euXdDpdFKZ3bt3Y926ddLqspUrVyI3N1e6r9Pp8Oabb2LNmjVYsGABzGYzMjIysH379qFuNhERDYK/S++PhsfPUxDQCPZJ9svpdMJiscDhcLAXiYjoS7rtl3/D5UY39q27Az99vRxHz9nx/P234u5Z49SuGoWYwb5/86wxIiJSjHxorGPVmIr1IWIQIiIiBXWuGoM0WVq92hAxCBERkWICE6M1Un8Qd5YmdTEIERGRYmT7CLFHiIIAgxARESmm6+nznCNEwYBBiIiIFNPZ+8MNFSk4MAgREZFiODRGwYZBiIiIFCMtn0fXoTEmIVIPgxARESmmc46Qhj1CFBQYhIiISDHyobGOHiEGIVIRgxARESlGdvp8t2tEamAQIiIixfh7nSzNKETqYRAiIiLFdM087BGiYMAgREREipEmS2s10hwhJiFSE4MQEREpR7Z8PnCJSYjUwyBERESKEeg5R8jPHEQqYhAiIiLFdD19PtAnxLnSpCYGISIiUkzXfYS00hQhJiFSD4MQEREpRtpHiGeNUZBgECIiIsWILkNjnWeNEamHQYiIiBTRdePErj1C7BIiNTEIERGRIrpvpshthCgYMAgREZEiugYerabL0BiTEKmIQYiIiBTRfWgMPGuMggCDEBERKaJr3Ol6+jw3VCQ1MQgREZEi/N0mCQXOGmMOIjUxCBERkSJkOUjT5awxDo2RihiEiIhIcVqNRtpZmkhNDEJERKSInsvnuWqM1McgREREiuh6pphsaIyzhEhFDEJERKQIv6xHSNNl+bw69SECGISIiEghPY7Y4FljFAQYhIiISBGyfYR4+jwFCQYhIiJShOg2NNa5oSKTEKmHQYiIiBTR5+nzRCpiECIiIkX0WD4vHbrKHiFSD4MQEREpovvp89qOdyDmIFLTsASh6upqPPDAAxgzZgwiIyNx8803o7S0VLovhMDmzZths9lgNpuxaNEinDhxQvYcbrcba9euRXx8PKKiorBy5UpcuHBBVsZutyMzMxMWiwUWiwWZmZloaGiQlamsrMSKFSsQFRWF+Ph4rFu3Dh6PZziaTURE/ehx+jxXjVEQGPIgZLfbsWDBAhgMBrz11ls4efIkfv3rX2P06NFSmaeffho7duxAbm4ujh49CqvViqVLl6KxsVEqk52djfz8fOTl5aG4uBhNTU1IT0+Hz+eTymRkZKCsrAwFBQUoKChAWVkZMjMzpfs+nw/Lly9Hc3MziouLkZeXh7179yInJ2eom01ERAOQrxrTcNUYBQcxxDZu3Chuv/32Pu/7/X5htVrFtm3bpGsul0tYLBbxwgsvCCGEaGhoEAaDQeTl5UllqqurhVarFQUFBUIIIU6ePCkAiJKSEqnMoUOHBABx6tQpIYQQ+/btE1qtVlRXV0tl9uzZI0wmk3A4HINqj8PhEAAGXZ6IiHp3ydkqJm18Q0za+IYQQogfvvqxmLTxDbGz6LTKNaNQNNj37yHvEXr99dcxZ84cfOMb30BCQgJuueUW/Od//qd0v6KiArW1tUhLS5OumUwmLFy4EAcPHgQAlJaWwuv1ysrYbDYkJydLZQ4dOgSLxYK5c+dKZebNmweLxSIrk5ycDJvNJpW566674Ha7ZUN1XbndbjidTtkHERENgY6en0BPEHuEKBgMeRD6/PPP8fzzz2Pq1Kn461//ikceeQTr1q3Dn/70JwBAbW0tACAxMVH2uMTEROlebW0tjEYjYmNj+y2TkJDQ4/snJCTIynT/PrGxsTAajVKZ7rZu3SrNObJYLEhKSrrWPwIiIupFIO9oOxIQd5amYDDkQcjv9+PWW2/Fli1bcMstt+C73/0usrKy8Pzzz8vKabptICGE6HGtu+5leiv/Rcp0tWnTJjgcDumjqqqq3zoREdHgBHp+Av/6dvYIMQqReoY8CI0bNw4zZ86UXZsxYwYqKysBAFarFQB69MjU1dVJvTdWqxUejwd2u73fMpcuXerx/S9fviwr0/372O12eL3eHj1FASaTCTExMbIPIiL68gI7SEtDYx3XmYNITUMehBYsWIDTp0/Lrp05cwaTJk0CAEyZMgVWqxVFRUXSfY/Hg/3792P+/PkAgJSUFBgMBlmZmpoalJeXS2VSU1PhcDhw5MgRqczhw4fhcDhkZcrLy1FTUyOVKSwshMlkQkpKyhC3nIiI+hPIO4EhsUDPvODgGKlIP9RP+P3vfx/z58/Hli1bsGrVKhw5cgQvvfQSXnrpJQDtf/Gzs7OxZcsWTJ06FVOnTsWWLVsQGRmJjIwMAIDFYsFDDz2EnJwcjBkzBnFxcdiwYQNmzZqFJUuWAGjvZVq2bBmysrLw4osvAgAefvhhpKenY9q0aQCAtLQ0zJw5E5mZmXjmmWdQX1+PDRs2ICsriz09REQKE93GxjhZmoLBkAeh2267Dfn5+di0aROeeuopTJkyBb/5zW9w//33S2WefPJJtLa2Ys2aNbDb7Zg7dy4KCwsRHR0tldm5cyf0ej1WrVqF1tZWLF68GLt27YJOp5PK7N69G+vWrZNWl61cuRK5ubnSfZ1OhzfffBNr1qzBggULYDabkZGRge3btw91s4mIaACBwKOVhsY4WZrUpxGcpdYvp9MJi8UCh8PBXiQioi+hqr4Fdzz9LswGHT75+TL8/I2T+H1xBR5ZeD1+cPd0tatHIWaw7988a4yIiBTR52Rp9gmRihiEiIhIEX0tn2cOIjUxCBERkSJ6bKio4RwhUh+DEBERKaLHqrGO634/oxCph0GIiIgU0bmPkPwTxiBSE4MQEREpQkiTpbudNcYkRCpiECIiIkWIvk6fZ58QqYhBiIiIFNF9srSWO0tTEGAQIiIiRfRYPt85W4hINQxCRESkiB4bKko9QuwSIvUwCBERkSI6846my/9z1Ripi0GIiIgUEZgUrem2tTQ7hEhNDEJERKSInqfPt/MzCZGKGISIiEhRgUnSGm6oSEGAQYiIiBTR8/R5Do2R+hiEiIhIEX2ePs8+IVIRgxARESlCOmuMGypSEGEQIiIiRYge+whxaIzUxyBERESK8Hc7ayyAZ42RmhiEiIhIIR09Qt1XjTEHkYoYhIiISBE9Tp8PrBpTqT5EAIMQEREppPvp84FAxA0VSU0MQkREpIiep88HbqhQGaIODEJERKQIf7ckxJ2lKRgwCBERkSJ69ggFls8zCpF6GISIiEgRnafP86wxCh4MQkREpIzup89zQ0UKAgxCRESkCGlDxcA+Qh3XmYNITQxCRESkiM6hMcj+yzlCpCYGISIiUkT3vMMeIQoGDEJERKSInhsqctUYqY9BiIiIFNHz9PnAdZUqRAQGISIiUkjPs8bk14nUwCBERESKEN1Onw8kIsFZQqQiBiEiIlIEe4QoGDEIERGRIjqDUHsE0ko9QkTqYRAiIiJFBAKPdNYYJ0tTEBj2ILR161ZoNBpkZ2dL14QQ2Lx5M2w2G8xmMxYtWoQTJ07IHud2u7F27VrEx8cjKioKK1euxIULF2Rl7HY7MjMzYbFYYLFYkJmZiYaGBlmZyspKrFixAlFRUYiPj8e6devg8XiGq7lERNQHf/dVY9IdJiFSz7AGoaNHj+Kll17CTTfdJLv+9NNPY8eOHcjNzcXRo0dhtVqxdOlSNDY2SmWys7ORn5+PvLw8FBcXo6mpCenp6fD5fFKZjIwMlJWVoaCgAAUFBSgrK0NmZqZ03+fzYfny5WhubkZxcTHy8vKwd+9e5OTkDGeziYioFz1On2ePEAUDMUwaGxvF1KlTRVFRkVi4cKF4/PHHhRBC+P1+YbVaxbZt26SyLpdLWCwW8cILLwghhGhoaBAGg0Hk5eVJZaqrq4VWqxUFBQVCCCFOnjwpAIiSkhKpzKFDhwQAcerUKSGEEPv27RNarVZUV1dLZfbs2SNMJpNwOByDaofD4RAABl2eiIh699bxi2LSxjfEfc+9L4QQ4pUjlWLSxjfEg//vsMo1o1A02PfvYesRevTRR7F8+XIsWbJEdr2iogK1tbVIS0uTrplMJixcuBAHDx4EAJSWlsLr9crK2Gw2JCcnS2UOHToEi8WCuXPnSmXmzZsHi8UiK5OcnAybzSaVueuuu+B2u1FaWtprvd1uN5xOp+yDiIi+PNHt9PlA1xA7hEhN+uF40ry8PHz44Yc4evRoj3u1tbUAgMTERNn1xMREnD9/XipjNBoRGxvbo0zg8bW1tUhISOjx/AkJCbIy3b9PbGwsjEajVKa7rVu34mc/+9lgmklERNegz9PnmYRIRUPeI1RVVYXHH38cL7/8MiIiIvosF1g+GSCE6HGtu+5leiv/Rcp0tWnTJjgcDumjqqqq3zoREdHgSBsnSvspcvk8qW/Ig1BpaSnq6uqQkpICvV4PvV6P/fv347e//S30er3UQ9O9R6aurk66Z7Va4fF4YLfb+y1z6dKlHt//8uXLsjLdv4/dbofX6+3RUxRgMpkQExMj+yAioi+vx2Rp6TqjEKlnyIPQ4sWLcfz4cZSVlUkfc+bMwf3334+ysjJcd911sFqtKCoqkh7j8Xiwf/9+zJ8/HwCQkpICg8EgK1NTU4Py8nKpTGpqKhwOB44cOSKVOXz4MBwOh6xMeXk5ampqpDKFhYUwmUxISUkZ6qYTEVE/up8+r+VOdhQEhnyOUHR0NJKTk2XXoqKiMGbMGOl6dnY2tmzZgqlTp2Lq1KnYsmULIiMjkZGRAQCwWCx46KGHkJOTgzFjxiAuLg4bNmzArFmzpMnXM2bMwLJly5CVlYUXX3wRAPDwww8jPT0d06ZNAwCkpaVh5syZyMzMxDPPPIP6+nps2LABWVlZ7OkhIlKY6LGPUMfQGDuESEXDMll6IE8++SRaW1uxZs0a2O12zJ07F4WFhYiOjpbK7Ny5E3q9HqtWrUJraysWL16MXbt2QafTSWV2796NdevWSavLVq5cidzcXOm+TqfDm2++iTVr1mDBggUwm83IyMjA9u3blWssEREB6OWsMWnVGJMQqUcjODjbL6fTCYvFAofDwV4kIqIvIf/YBXz/lY9w+1fi8fK/zsX/llXj8bwyzL9+DP6cNU/t6lGIGez7N0doiYhIET17hNo/8fP3cVIRgxARESmi++nz3EeIggGDEBERKUI6dLXjaw13lqYgwCBERESKCASe7qvGmIRITQxCRESkjL5On2cSIhUxCBERkSICgScwRyhw+CrnCJGaGISIiEgRPU6fB88aI/UxCBERkSL8UuLpWDUm9QgxCpF6GISIiEgRnUNj7V9Ly+fVqQ4RAAYhIiJSSI/T56UNFdWpDw2vs5cakfvOWbR6fGpXpV+qnDVGRETh5eMLDfjRa+UAOk+fl6YKcWgsJC3deQAA0OLx4cll01WuTd/YI0RERMNuZe770uc9D12lUPZhpV3tKvSLQYiIiBTVIwgxCYU0gy64o0Zw146IiEJOYEdpjbR8nkko1HRdCajXalDf7Ana1YGcI0RERMpij1DIa+kyQfrvZy7j1p8X4dE7r4cGGkwaE4lvzElSsXZyDEJERKQoabJ0x38ZhEJPfbNH+jzw+v7Hu59J1+6eNQ6jTMERQTg0RkREitJ0+y9zUOi50uTu9/77n15RqCYDYxAiIiJF9ZwszSgUarr2CPXm3VN1CtVkYAxCRESkqM4eIQ6NhaqrAwShvKNVyH3nbFCEYAYhIiIaVv5uW0drNN3OGuPgWMi52tR/EAKA7YVncKyqYfgrMwAGISIiGlauNvkRCz3mCDEHhZz65r7nCN0xNV6aKF1e7VCqSn1iECIiomHV0u2sKXebv/0T7iwdsvrrEbp+7Cg8OH8yAOBEtVOhGvWNQYiIiIZVi1sehBrdbQC6zhFiFAo1/c0RGmXS40ZbDADgZA2DEBERhbgWb5vs6yaXFwDPGgtl/a0ai47Q40abBQBwurYRXp9fqWr1ikGIiIiGVfehsaaOHiEtk1DIana39XlvVIQeE2LNiDbp4fH58Wldk4I164lBiIiIhlVrtyDU3DFUxhwUurz+vnt5oiMM0Go1mD4uGgBwlkGIiIhCWfceocbA0FjH15wjFHrafH2/ptEdK8YSYiIAAFca+9+FergxCBER0bBq8XSbIxSYLN2RhPzMQSHH218QimgPQmNHmQAMfBzHcGMQIiKiYdW9R6gz+HSsGuPgWMhp6xgaWzHb1uNedIQBABA/ygiAQYiIiELYjqIz2PTq8V7vdZ41pmCFSBGBobH1S2/A/icW4Z9SJkj3RnX0CI2ReoQG3oV6OOlV/e5ERBTSfvv22R7XLOb2HgHuLB26AkviDToNJsRGSsNhQOfQWHyQDI0xCBERkSIWT0/AqAg9Hll4PYDOM8co9LR1jH8adO0DT4EJ0gAQZQwEoY6hMZUnSzMIERGRIqaPi8YTd02XvuaqsdAkhICvIwjpte2vcmBe0CiTHrqOa/FdhsaEEKoFY84RIiKiYdHWbcfgSKP8d+/AhoqMQaGl64oxfUePUGBe0KguPUNjo9uDkMfnh9PV9waMw41BiIiIhoV0uGoHs0En+zocJ0u/e7oOT/zlo353Xh7p2rpsphjoEQoEoK5zhSIMOun6VRXnCXFojIiIhkX3INTXyEc4LZ//lz8cBQAkxkRgw13TVK7N8JD3CLW/6FMTRwEAbkiMlpUdM8qIJncbrjR5cN1Y5erYFYMQERENC3ebfP+gWodL9nU4b6h40dGqdhWGTdchUYO2feBpujUGB564EwkxJlnZ+FEmnL/aourKsSEfGtu6dStuu+02REdHIyEhAffeey9Onz4tKyOEwObNm2Gz2WA2m7Fo0SKcOHFCVsbtdmPt2rWIj49HVFQUVq5ciQsXLsjK2O12ZGZmwmKxwGKxIDMzEw0NDbIylZWVWLFiBaKiohAfH49169bB41F3zwIionDg9sp7hBbeIP+VXxPYUDEMg5A2hFfMBVaMaTWAVtvZzoljIhHRbXg0GDZVHPIgtH//fjz66KMoKSlBUVER2trakJaWhubmZqnM008/jR07diA3NxdHjx6F1WrF0qVL0djYKJXJzs5Gfn4+8vLyUFxcjKamJqSnp8Pn6/wNIyMjA2VlZSgoKEBBQQHKysqQmZkp3ff5fFi+fDmam5tRXFyMvLw87N27Fzk5OUPdbCIi6iYwNKbTavDqmvlIvX6M7H5nFgi/JKQN3Rwk7SEUmCjdH2nlmJpL6MUwq6urEwDE/v37hRBC+P1+YbVaxbZt26QyLpdLWCwW8cILLwghhGhoaBAGg0Hk5eVJZaqrq4VWqxUFBQVCCCFOnjwpAIiSkhKpzKFDhwQAcerUKSGEEPv27RNarVZUV1dLZfbs2SNMJpNwOByDqr/D4RAABl2eiIjafVRlF5M2viFSt/yt1/uf1DjEpI1viFufKlS4ZuqZtPENMWnjG2Lj/3ykdlWGTcXlJjFp4xti5o/fGrBs5dVmcabWKZytniGvx2Dfv4d91ZjD4QAAxMXFAQAqKipQW1uLtLQ0qYzJZMLChQtx8OBBAEBpaSm8Xq+sjM1mQ3JyslTm0KFDsFgsmDt3rlRm3rx5sFgssjLJycmw2TrPOrnrrrvgdrtRWlraa33dbjecTqfsg4iIrp2no0fI1G04JEAaGlOsRsEjhEfGpFVjg+kRSoqLxNTEaGmfITUMaxASQmD9+vW4/fbbkZycDACora0FACQmJsrKJiYmSvdqa2thNBoRGxvbb5mEhIQe3zMhIUFWpvv3iY2NhdFolMp0t3XrVmnOkcViQVJS0rU2m4iI0Dk0ZuzjDbFz+Xz4RaFQ3lU7sGrMoBsZbRzWIPTYY4/h448/xp49e3rc6/6XQAxiV8nuZXor/0XKdLVp0yY4HA7po6qqqt86ERFR7wKrxkyG3t9qAvNkwi8GhfYcoc5dpUfGVoXDVsu1a9fi9ddfx7vvvosJEzpPnbVarQDQo0emrq5O6r2xWq3weDyw2+39lrl06VKP73v58mVZme7fx263w+v19ugpCjCZTIiJiZF9EBHRtQusGjPp+3qrCa9VY117vkJ51VjnZOmR0cYhD0JCCDz22GN49dVX8c4772DKlCmy+1OmTIHVakVRUZF0zePxYP/+/Zg/fz4AICUlBQaDQVampqYG5eXlUpnU1FQ4HA4cOXJEKnP48GE4HA5ZmfLyctTU1EhlCgsLYTKZkJKSMtRNJyKiLgJDYyZ9H3OEwmxorOsGk6EchLofuBrshnxDxUcffRR//vOf8b//+7+Ijo6WemQsFgvMZjM0Gg2ys7OxZcsWTJ06FVOnTsWWLVsQGRmJjIwMqexDDz2EnJwcjBkzBnFxcdiwYQNmzZqFJUuWAABmzJiBZcuWISsrCy+++CIA4OGHH0Z6ejqmTWvfrTMtLQ0zZ85EZmYmnnnmGdTX12PDhg3IyspiTw8R0TCThsb66BHqPHRVoQqpzNNlo8EQzkGdPUIjZPxvyIPQ888/DwBYtGiR7Pof/vAHPPjggwCAJ598Eq2trVizZg3sdjvmzp2LwsJCREd3br29c+dO6PV6rFq1Cq2trVi8eDF27doFna7zN4vdu3dj3bp10uqylStXIjc3V7qv0+nw5ptvYs2aNViwYAHMZjMyMjKwffv2oW42ERF1I/UI9TFHSBNmh656uh05EqraOiZLD2bVWDAY8iA0mC5OjUaDzZs3Y/PmzX2WiYiIwLPPPotnn322zzJxcXF4+eWX+/1eEydOxBtvvDFgnYiIaGh1zhHqa/l8u3AcGmvzhW6bA8vnuWqMiIjC2oBDY2G2aqxrj1DXE9pDTWD5/EgZGmMQIiKiYSHtI9TnHKHwWjXW9RBaT1voNnqkDY2NjFoSEdGII+0sPWCPUOiGgq7CpUeIQ2NEREQYePl8QLj0CHUNQl5f6AahzqGxkRExRkYtiYhoxBlojpBWG16rxtyyIBS6rW7zsUeIiIioc9VYX8vnA5+EbiaQCZseIR6xQURENPidpf1hMjYWNsvnw/2IDSIiImAwO0uH29BYl1VjIdwj1Mbl80RERIPZWbr9v+GyoaJs1VgIByGvP9AjNDIixsioJRERjTiBOUJG3QA7SytUH7V17QUK7cnSgUNX2SNERERhbKChMUg9QgpVSGWBYAiE9mRpaY4QJ0sTEVE4anR5cc9/vI+PLjgA9LdqbGT0GAwVeY9Q6AYhadUYe4SIiCgc/eWDC/ioqkH6eqBVY0B4zBPq2iPU5g/d9vr8gaGxkRExRkYtiYhoxCivdsi+7nNDxS5JKAxyEDy+zlVj3rYQ7hGShsbYI0RERGFGCIH3Pr0iuzbghooIjwnTsg0VQ7hHiIeuEhFRWBJC4I8Hz+Fyo1t2fTBDY+GwqaI7TJbPS4euskeIiIjCyX+VnMfm/zvZ4/pAGyoCYTI0FiZnjXnZI0REROHG6/Pjxf2fAwC++7XrkJtxi3TPOMDyeQAQYTA4Fi5njY20Q1f1aleAiIhGvn3Ha1Dd0Ir4UUZ8f+kNOHe1WbrXVxCSrxob7hqqzx0mQajz0FUGISIiChN7P6wGADwwbxIiDDpMTYjGLRNHQ6vRINrU+1vNyHibHDpdg5BftC8z142QsHAtOg9dHRmDTgxCRET0pThavTj0WftKsZWzbQAAnVaDV783HwCg0fT+Zq8Ju+Xz8l4gr88Pnbb3ieQjGY/YICKikOZ0eWXzXd49VQevT2BqwihcN3aUdF2j0fQZgoDuy+dDPwm5vT7Z16G6qWLn0NjIiBgjo5ZERBQUKq4047Zf/A1r93wIoH3JfN7RSgDAsmTrNT1X+G2o2K1HKEQ3VewcGhsZPUIcGiMiokF746OLcLf58dcTl3D2UiMOfX4VJZ/Xw6TX4v+7dcI1PZdssvQQ1zMYdT1iAwC8/lANQiPriA0GISIiGrRTtY3S50t3HpAm+/7g7umYHB/1hZ83HDZU7DlHKDTbHAh4XDVGREQjXlV9C/KOVqLW4cbji6fiw0q77L7PL3DPzTasTp18zc8dbsvnPd2GwoJpd+nPLzdhbLQJ0RGGL/1c7BEiIqKQUOd04b7nD0pHZuz98AKA9gDz8B3X4fSlRtxoi0H2khug/QK//WsQ+mNjQgj89u1P8fpH1aisb5HdU3svodLz9Xjq/07iH2aNw68KTuG2yXHIe3hevxPcB8PLOUJERDTSCSGw/r8/wuVGN8aPNsPr86OuIxDNHBeDTf8w40t/D02I7Sxder4exy848MC8SdIeOkfP2bHzb2cAtG8pcOe0sSg9b4e9xav60Niv3jqNjy448NEFBwDgcEU9Pqy0I2VS3Jd63sBquJGyRxKDEBERAWgfHsl+pQz33DweNyeNRvGnV2DUa/Gnh74Ka0wEnvv7p3jj4xr8y4IpQ/L9ZMvnR34OQs5/f4RzV1tw5Fw9fnnvLMRGGVF0shYAsGRGIn69ajYsZgPmb30bdnhV7xHqbUfL3xdXfPkgJB2xwaExIiIaAeqbPXirvAZb951Ck7sNH3f0EADAvTfbcH3H3kBP3DUdT9w1fci+r2xDxSF7VnW4vD6cu9o+9LXveC32Ha9FztIbUHTyEgDgvlvHw2Jun38T6C1Su0fI12Ufo/GjzahuaEVBeS2q6luQFBcpK3vos6uYZo1GXJRxwOeVDl0dIT1CIyOuERHRsPn5Gyfxb/nlaHK39bj3nduHpvenN/IeoZEdhbqerRbw66IzOHe1BUadFl+7Yax0PbDjsto9Qlea2oc6b5sciz/8y224/Svx8AvgjwfPAWgPSicvOvH2J5fw7f8skfaOGkibnz1CREQ0AtQ3e1Df7MbfPrkkXfv1N2ajyd2Go+fqMXvCaEy3xgzb9w+lfYQ+v9wehG5OGo3XHl2A3HfOYnth+9ygpTMTMarLeWuBgNCmco/QlY45X0//02xMiY/CQ7dPQfGnV/DK0SqsT7sBv3rrFP546LxU/v1Pr/boLXJ5ffiw0o4L9a1YNG0sEmIipJ4mTpYmIqKgUlXfgu+/UoblN43Dg/Mn41svHcKZS00AgDFRRhz5tyXSBNfV8ycPe31C6ayxzy+3/zleN7Z9L6XHvj4V/3jrBDhavJiaOEpW1iANjanXI9TiaUOzp/3Ij/hR7cNdC28Yi4lxkaisb8Hv3qvAy4crezzujqffxY+Wz0Bm6iT8xzuf4qX3PoerY6PIGeNi8PpjC7oMjbFHiIiIgoTX58e/7DqKT+ua8MF5OyaPiZJCEND+JqjGKh+Npj0EBevQWHm1AwkxJiRER/RbLtAjdH2Xs9bGjzZj/Ghzj7L6IBgau9LoAQCY9Fqpt0qr1WDlbBty3/0UO4rO9PnYX7z5CbYXnpYC0JgoI642e/BJjRNzt7wNR6sXwMg5dJVBiIjoCxJCoK7RjcSY/t8khRB97s1y6LOr2PbWJ/jZPcm4OWn0l6qPzy/wP6VVKKtqwMS4KHxYacfJi05suW8W/u+ji/i0rjP4/Muuo7LHrrjZ9qW+9xelQfuwWDDGoE/rmrAytxgRBh2+OiUOQrQPc31wrh5mow6jI424OWk0bk4ajcMV9QCA6waxu7YhCCZLX+6YHxQ/yiT7u7ny5vYgBLSH1DunJeCdU3W452Yb2vwCnjY/Dn56Bc0eH2Ii9Pj5vclYOduG1z+6iMfzylDf7JGeS885QkREoWdv6QU0udvwz6mTsLPoDH77zqd4+v+7CatuS+q1/F9P1OL7r5Rh0z/MQOa8SbJ7Pr/Av+Ufx+dXmvHMX09h97/OQ6PLi417P4bfD/z227fAqNeiqr4Fv337LFbPn4zk8Ra0eNrwcsl5NLl9eOzOr8Co1+JiQyt2FJ3B/5Re6FGH1f/vCID2N7bF0xNlc4J2fnM2EmMiMP/6+CH8Uxo8TUeXUDB2CL139jL8Amjx+PD305cBAPvPXO73MdcnjOr3PtDZU9Km4lljgYnS8dEm2fUbEqPx1clxKLvQgBcfSMHtU+NRUF6Lr90wVlr1Vt/swQV7C6ZbY2DUt4ede24ej9GRRlxsaMVb5bXQazUYN8AvCMGCQYiIaJBqHK3I+ctHANqHNV448DkA4NdFp7HyZhv8QuB371VAp9Vg1ngLPr/chJ1/O4sWjw8/fq0cRp0G+ceqodNq8OD8Kah1uvD5lfYhlfc/vYoX9n+G//voIk5cdAJo39Plodun4Hu7S1Fe7cThinrkZtyC7738IaobWgEAfz5cidGRBqm3R6fVYHXqZOw/U4c2v8DNSaPxxsc1iNBr8ZMVM3HvLeORnVeGA2cu4ysJo5B+k03V1T2Bvohg3FDx6Ll66fOx0SbMGBeD4xca8M3bJiLSqEOt04VDn12VdoxOvW6MbGisL4E/7+5HbigpEITGjuq5HP5PD30VLR6ftFR+xWx5b2FclLHXZfQLO1bGffurE4e6usMqLILQc889h2eeeQY1NTW48cYb8Zvf/AZ33HGH2tUiCmlenx/uNr9stcxQE0Lg07omJMVFIsKgG9RjPq1rwuVGN1KvH3PN3+/Nj2ukz3/x5ifS55ecbty0uRARBi2crp5L0AM27j0uff7+p1elz80GHVq9Pmx765Ss/K8LT2PXwQpccra/aVXWt2Bl7vuyMlea3LjS5IZOq8F0azTWLZ6Ku260ApgpDcntXHUzBDp3+n3+gZR+h+uUFKhCsPUICSFwpKL9XLU/feerSL1+DAw6ba9/bm0+PzQazaDnWAUmEbf51Wt0YI5Q/ChTj3sRBt2gf55CQcgHoVdeeQXZ2dl47rnnsGDBArz44ou4++67cfLkSUycOLJS63Dy+vzQazXSD7jL64PT5ZVNEHS3+aDXamU/7JVXW/DfH1QBAJYlW5E83tLjuZvdbThV24jr4qMQ28tvEUIINLnbMMqkl/0D4/X50eYTMBsH/oH0+QUaXV5YzAb4RftvmV/k7KP+CCFwpcmDuChjn//geX3+Qf123f3PuytPmx8GXe/3+tPm86PNL6R/wFze9hUh/f2D5mj14tyVZhj1Wlw3NgomvbxsQ4sHP3qtHC6vDzcnjUZclAlnLjWi1uHCVxJGocbhgsfnx422GFTbW1FxpRnXj41Co7sN//fRRXh9AvOui8NNE0bD5fXBNtqM2ybHoaq+BUWfXMKUMVGYOCYSMRF6/PlIFYQQuH/uJHx0oQHvfFKHFbPHISEmAia9FiWfX0Wrx4eZthi4vX6cutSINp8ffz1xCRNizYiLMqLJ1YYZ42Jw/9yJKD1vx6vHquFp82N8rBnzrx+DNp/Aiwc+g9cn8M+pk3DPzeNx9lIjTlx0otnThmSbBVEmHeqbvYiLMqDF48OE2Ei423xwtrbJwg/QPtH0G3Mm4OWSSnh8fnh8fowfbUab3w97sxfQtL+eD8ybCINOi798cAGzxltwU5IFew5XotHdhtWpk7H8pnH43sulmBAbicXTE3DvLePxizdP4q8nLuGS0w2zQYf7507E/3u/An4BzLsuDs/fn4JzV5vx3tkruCFxFFKvj5eGLgICf4d6+1kIhhAEBM4bE6hv9uDTuqb2pdcaINlmwdhoE4QQ8PkFtBoNtFoNWjxt+KSmETckjkJDixdCADFmPSIMOpj0WjS0eFHrdEGn1cCo00KjAfyifXM/j88PR6sXCdEmnLvSgj+8X4FIkx7zrx+D/acv49zVZtw/dyLGWczQattDplGnxVenxEk/1739uV3rXBij/tomS5+86MQlZ/vPWoRBB4vZgBZ3G5rcbWj1+mDQaRFh0EoBxtzxYdRr0eYT8Pr98Pr88La1f37B3iod+zE2umcQCjcaEaxT9YfI3Llzceutt+L555+Xrs2YMQP33nsvtm7dOuDjnU4nLBYLHA4HYmKGbj+NNp8fNQ4Xqhta4fX5pd+GAi9G4GWRvTgdXzS629DQ4oHZoEOUSY/IjqDgFwJtPtH+X3/7mLu54wfD6fLCqNPCLwTcbZ1vwpX1zfif0gs4W9eExOgITE0chWZ3G05cdMLd5sdXEkZBr9UgyqTHR1UNiI7QY2JcJAw6LSbEmvHOqTrZb8CRRh3GRpvwlbGjoNEAV5s9OH7BgTa/gEYD3GiLgVajQYvHB6/Pj2Z3Gww6LWocLlw3NgpJsZE4VmlHhEEHv2j/x/FrN4xFo6sNFxtaEWnUIX6UCfEd/0DWOFy45HDhUqMbPr9ApFEHd5sfPr/AOEsEpsRH4UqTGxfsrbhl4mgAQH2zF0a9FrGRBmjQXkdPmx+TxkSiocWLFo8PLm97t7BttBl1jS5csLfC7fWj1umS6hBp1MFs1KGhxYv6Zg9izHpU1bd/n8ljoqDRtP8DVt3QCrNBhwmxZui1WrR423DyohMT4yLxlYRRqG/2wN7iRbO7DT6/wNVmD3RaDWIi9IjpeGNrcrXBLwQsZgMEIL32Pr+Ay+uDvcWDy41uaDQazLsuDo2uNpRXO+AXwKQxkfD5BRwtXiSPt8BiNsCg1+LTuiacqnVKf/dMei1so8240uTGVxJGYUyUEacvNaKqvnXI/t6HAo0GeCdnEbw+PybEmmE26PDZ5SbUOFwYbTZimjUaAgIujx+Xm1woKK/FgwumYJRJD79fSKGk1dP+y0ZfE62FEPjscjPqGl24OWk0Io16XHK6oNEAY7tNcB3JbvjRW30OERl0GmlCsU6rQWykAc7WNnh8fmg7Ak5XkUYdWjqWhA+VBV8Zg93/Om9In3PdnmN4/aOLAIA7p42F2aiDXqtt/+XPLxDTcQK8EALVDa3SROzh8NQ9N+KfUycP2/OrabDv3yEdhDweDyIjI/GXv/wF//iP/yhdf/zxx1FWVob9+/f3eIzb7Ybb7Za+djqdSEpKGvIg9KPXjuPlkp57NIxEsydYYBttxlvltX2WiYsyylYTUPBIiDZ19AD2PqSTEG3Cd26fghMXnXC2enFD4iiMjTbh7KUmTIiNhMmgxTun6hBl1GHJzERUXm2Bo9WLb8yZgIToCOw6eA4+v0B0hB6f1Dhx8qITAu2rUxqavahxunCl0Y2ZthhEGLQoPd+AaJMeC6eNxaHPrkLX0Qtw/dhRmBBrxskaJ1xeP2aMi8bJi05kzJ2ES04XzAYdEmMi8N8fVKH0vB2jIw146PYpmBwfhbOXGvHOqTrotVosmZmAUSYDfl/8OT6ta8LUhGjclGTBKKMe75yuAwAkxUbC0epFhEGL6oZWRBr1iInQw9nahq/dEI/Hvj5VwVcotP3jc+/jWGUDgPYVV1EmPVxeH852WeHWXXSEHo2uNqnntHuQCsxfCVzXANIvY6PNBlxp8sCo12LFbBvGjjLi4GdXERtlxKzxFhz67CocrV5U1bcg9fox+HH6zB7HTXxZW/Z9gpc65pcNhkGnwTRrNIw6LZrdPjS6vIgy6aVfhNt8Aq3e9l/g2v/rh9vrg7uj59mg08Kg00Cv1cKg1yAuyoSxo0zw+vx45hs3Dbg1wEjFIATg4sWLGD9+PN5//33Mnz9fur5lyxb88Y9/xOnTp3s8ZvPmzfjZz37W4/pQB6EX9n+GHYVnMD7WLBu6CPyO1/WXvcDnmo67ZoMOcVFGuNp8aHH70OxpfwPTa9u7jnVdxqoDPxgxEQZ4OsaxI/TtPUN+0d4LkH6TDXdOH4uKK82odbhg0utwQ+IoxEYZUVbZAINei/pmN2aMi4GjxQtHqxetXh8uOV1IiI7A3bOsMOl1uOR0ocXjw7mrzahzuiBE+7BMyqRYJMVFos7pwuGKeui1GlgiDdBp2nuamtxtmBIfhWOVdjhavbhu7Ci0eHzw+wXioow4eq4eVksExo82o9Xrw5UmD640uqHRAOMsEUiMicA4ixmjIw24YG/BKJMBOq0Gn11uQq2jvQdnnMWMj6sbEGnUITbSCK9PwN7sgYDAmCgTtFrg3JUWjBllREyEASa9FhcdLtibPRgVoZeWxN443oJahwuOVg9aPD60eHwwG9p7iOwtHthGm1Hy+VU0udrgEwK20WbcaItBo6sNtY5W+AWg1bSvzDhe7UCLx4fYyPaJh4GePdtoMzxtfjhdXmk/jugIPTTQwOlq/7rV40OLpw06bXuXuMVsgNUSAUeLFyWft/+jfsvEWEQadPjgvB0aAIkxEThb14hmdxtcXj+S4sy4dWIsEmIiIITA2br2P6/4USZUXGmG0+WF2aDD124YO6jzhYi+CK/Pj/NXWxAdoZf1jtmbPXB1DMcbdBq4vH7YWzwYZdJjQqwZF+yt0s+Nzy/gaG3/ebGNNgf9/BZHqxcHzlyGxWzA+avNEAgMibdPPWh0tUGraf+3X6/V4uvTEzB5EMvySY5BCJ1B6ODBg0hNTZWu//KXv8R//dd/4dSpUz0eo1SPkLvNB4NWO+TzWIiIiGjwQSikJ0vHx8dDp9OhtlY+ZFNXV4fExMReH2MymWAyDf/kse6TUomIiEh5I2Pbxy/IaDQiJSUFRUVFsutFRUWyoTIiIiIKTyHdIwQA69evR2ZmJubMmYPU1FS89NJLqKysxCOPPKJ21YiIiEhlIR+EvvnNb+Lq1at46qmnUFNTg+TkZOzbtw+TJk0a+MFEREQU0kJ6svRQGK59hIiIiGj4DPb9O6TnCBERERH1h0GIiIiIwhaDEBEREYUtBiEiIiIKWwxCREREFLYYhIiIiChsMQgRERFR2GIQIiIiorDFIERERERhK+SP2PiyAhtvO51OlWtCREREgxV43x7oAA0GoQE0NjYCAJKSklSuCREREV2rxsZGWCyWPu/zrLEB+P1+XLx4EdHR0dBoNEP63E6nE0lJSaiqqgrJc8xCvX0A2xgqQr2Nod4+gG0MFUPZRiEEGhsbYbPZoNX2PROIPUID0Gq1mDBhwrB+j5iYmJD9Sw2EfvsAtjFUhHobQ719ANsYKoaqjf31BAVwsjQRERGFLQYhIiIiClsMQioymUz46U9/CpPJpHZVhkWotw9gG0NFqLcx1NsHsI2hQo02crI0ERERhS32CBEREVHYYhAiIiKisMUgRERERGGLQYiIiIjCFoOQSp577jlMmTIFERERSElJwXvvvad2lb6QzZs3Q6PRyD6sVqt0XwiBzZs3w2azwWw2Y9GiRThx4oSKNR7YgQMHsGLFCthsNmg0Grz22muy+4Npk9vtxtq1axEfH4+oqCisXLkSFy5cULAV/RuojQ8++GCP13XevHmyMsHcxq1bt+K2225DdHQ0EhIScO+99+L06dOyMiP9dRxMG0f66/j888/jpptukjbXS01NxVtvvSXdH+mvITBwG0f6a9jd1q1bodFokJ2dLV1T+3VkEFLBK6+8guzsbPzbv/0bjh07hjvuuAN33303Kisr1a7aF3LjjTeipqZG+jh+/Lh07+mnn8aOHTuQm5uLo0ePwmq1YunSpdIZbsGoubkZs2fPRm5ubq/3B9Om7Oxs5OfnIy8vD8XFxWhqakJ6ejp8Pp9SzejXQG0EgGXLlsle13379snuB3Mb9+/fj0cffRQlJSUoKipCW1sb0tLS0NzcLJUZ6a/jYNoIjOzXccKECdi2bRs++OADfPDBB/j617+Oe+65R3qTHOmvITBwG4GR/Rp2dfToUbz00ku46aabZNdVfx0FKe6rX/2qeOSRR2TXpk+fLn7wgx+oVKMv7qc//amYPXt2r/f8fr+wWq1i27Zt0jWXyyUsFot44YUXFKrhlwNA5OfnS18Ppk0NDQ3CYDCIvLw8qUx1dbXQarWioKBAsboPVvc2CiHE6tWrxT333NPnY0ZaG+vq6gQAsX//fiFEaL6O3dsoROi9jkIIERsbK373u9+F5GsYEGijEKHzGjY2NoqpU6eKoqIisXDhQvH4448LIYLjZ5E9QgrzeDwoLS1FWlqa7HpaWhoOHjyoUq2+nLNnz8Jms2HKlCn41re+hc8//xwAUFFRgdraWllbTSYTFi5cOGLbOpg2lZaWwuv1ysrYbDYkJyePqHb//e9/R0JCAm644QZkZWWhrq5OujfS2uhwOAAAcXFxAELzdezexoBQeR19Ph/y8vLQ3NyM1NTUkHwNu7cxIBRew0cffRTLly/HkiVLZNeD4XXkoasKu3LlCnw+HxITE2XXExMTUVtbq1Ktvri5c+fiT3/6E2644QZcunQJv/jFLzB//nycOHFCak9vbT1//rwa1f3SBtOm2tpaGI1GxMbG9igzUl7ju+++G9/4xjcwadIkVFRU4Mc//jG+/vWvo7S0FCaTaUS1UQiB9evX4/bbb0dycjKA0Hsde2sjEBqv4/Hjx5GamgqXy4VRo0YhPz8fM2fOlN4AQ+E17KuNQGi8hnl5efjwww9x9OjRHveC4WeRQUglGo1G9rUQose1keDuu++WPp81axZSU1Nx/fXX449//KM0oS9U2trVF2nTSGr3N7/5Tenz5ORkzJkzB5MmTcKbb76J++67r8/HBWMbH3vsMXz88ccoLi7ucS9UXse+2hgKr+O0adNQVlaGhoYG7N27F6tXr8b+/ful+6HwGvbVxpkzZ47417CqqgqPP/44CgsLERER0Wc5NV9HDo0pLD4+HjqdrkeKraur65GIR6KoqCjMmjULZ8+elVaPhVJbB9Mmq9UKj8cDu93eZ5mRZty4cZg0aRLOnj0LYOS0ce3atXj99dfx7rvvYsKECdL1UHod+2pjb0bi62g0GvGVr3wFc+bMwdatWzF79mz8+7//e0i9hn21sTcj7TUsLS1FXV0dUlJSoNfrodfrsX//fvz2t7+FXq+X6qjm68ggpDCj0YiUlBQUFRXJrhcVFWH+/Pkq1WrouN1ufPLJJxg3bhymTJkCq9Uqa6vH48H+/ftHbFsH06aUlBQYDAZZmZqaGpSXl4/Ydl+9ehVVVVUYN24cgOBvoxACjz32GF599VW88847mDJliux+KLyOA7WxNyPtdeyNEAJutzskXsO+BNrYm5H2Gi5evBjHjx9HWVmZ9DFnzhzcf//9KCsrw3XXXaf+6/ilp1vTNcvLyxMGg0H8/ve/FydPnhTZ2dkiKipKnDt3Tu2qXbOcnBzx97//XXz++eeipKREpKeni+joaKkt27ZtExaLRbz66qvi+PHj4tvf/rYYN26ccDqdKte8b42NjeLYsWPi2LFjAoDYsWOHOHbsmDh//rwQYnBteuSRR8SECRPE3/72N/Hhhx+Kr3/962L27Nmira1NrWbJ9NfGxsZGkZOTIw4ePCgqKirEu+++K1JTU8X48eNHTBu/973vCYvFIv7+97+Lmpoa6aOlpUUqM9Jfx4HaGAqv46ZNm8SBAwdERUWF+Pjjj8UPf/hDodVqRWFhoRBi5L+GQvTfxlB4DXvTddWYEOq/jgxCKvmP//gPMWnSJGE0GsWtt94qW/I6knzzm98U48aNEwaDQdhsNnHfffeJEydOSPf9fr/46U9/KqxWqzCZTOJrX/uaOH78uIo1Hti7774rAPT4WL16tRBicG1qbW0Vjz32mIiLixNms1mkp6eLyspKFVrTu/7a2NLSItLS0sTYsWOFwWAQEydOFKtXr+5R/2BuY29tAyD+8Ic/SGVG+us4UBtD4XX8zne+I/07OXbsWLF48WIpBAkx8l9DIfpvYyi8hr3pHoTUfh01Qgjx5fuViIiIiEYezhEiIiKisMUgRERERGGLQYiIiIjCFoMQERERhS0GISIiIgpbDEJEREQUthiEiIiIKGwxCBEREVHYYhAiorCxaNEiZGdn93l/8uTJ+M1vfqNYfYhIfXq1K0BEpJRXX30VBoNB7WoQURBhECKisBEXF6d2FYgoyHBojIjCRtehsbq6OqxYsQJmsxlTpkzB7t271a0cEamCPUJEFJYefPBBVFVV4Z133oHRaMS6detQV1endrWISGEMQkQUds6cOYO33noLJSUlmDt3LgDg97//PWbMmKFyzYhIaRwaI6Kw88knn0Cv12POnDnStenTp2P06NHqVYqIVMEgRERhRwgBANBoNCrXhIjUxiBERGFnxowZaGtrwwcffCBdO336NBoaGtSrFBGpgkGIiMLOtGnTsGzZMmRlZeHw4cMoLS3Fv/7rv8JsNqtdNSJSGIMQEYWlP/zhD0hKSsLChQtx33334eGHH0ZCQoLa1SIihWlEYLCciIiIKMywR4iIiIjCFoMQERERhS0GISIiIgpbDEJEREQUthiEiIiIKGwxCBEREVHYYhAiIiKisMUgRERERGGLQYiIiIjCFoMQERERhS0GISIiIgpb/z/b/euF1Ioz8QAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "\n",
    "# create a line plot of ss showing id vs move_count\n",
    "ss['move_count'].plot.line()\n",
    "print(ss)\n",
    "\n",
    "# what is the id of the maximum move_count?\n",
    "max_move_count_id = ss['move_count'].idxmax()\n",
    "print(max_move_count_id)\n",
    "# print the puzzles_all for max_move_count_id\n",
    "print(puzzles_all.loc[max_move_count_id])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>puzzle_type</th>\n",
       "      <th>total_components</th>\n",
       "      <th>unique_components</th>\n",
       "      <th>count</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>cube_10/10/10</td>\n",
       "      <td>600</td>\n",
       "      <td>6</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>cube_19/19/19</td>\n",
       "      <td>2166</td>\n",
       "      <td>6</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>cube_2/2/2</td>\n",
       "      <td>24</td>\n",
       "      <td>6</td>\n",
       "      <td>25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>cube_2/2/2</td>\n",
       "      <td>24</td>\n",
       "      <td>24</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>54</td>\n",
       "      <td>6</td>\n",
       "      <td>110</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>54</td>\n",
       "      <td>54</td>\n",
       "      <td>10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>cube_33/33/33</td>\n",
       "      <td>6534</td>\n",
       "      <td>6</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>cube_33/33/33</td>\n",
       "      <td>6534</td>\n",
       "      <td>6534</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>cube_4/4/4</td>\n",
       "      <td>96</td>\n",
       "      <td>6</td>\n",
       "      <td>55</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>cube_4/4/4</td>\n",
       "      <td>96</td>\n",
       "      <td>96</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>cube_5/5/5</td>\n",
       "      <td>150</td>\n",
       "      <td>6</td>\n",
       "      <td>30</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>cube_5/5/5</td>\n",
       "      <td>150</td>\n",
       "      <td>150</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>cube_6/6/6</td>\n",
       "      <td>216</td>\n",
       "      <td>6</td>\n",
       "      <td>11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>cube_6/6/6</td>\n",
       "      <td>216</td>\n",
       "      <td>216</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>cube_7/7/7</td>\n",
       "      <td>294</td>\n",
       "      <td>6</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>cube_8/8/8</td>\n",
       "      <td>384</td>\n",
       "      <td>6</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>cube_9/9/9</td>\n",
       "      <td>486</td>\n",
       "      <td>6</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>globe_1/16</td>\n",
       "      <td>64</td>\n",
       "      <td>16</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>globe_1/8</td>\n",
       "      <td>32</td>\n",
       "      <td>16</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>globe_1/8</td>\n",
       "      <td>32</td>\n",
       "      <td>32</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>globe_2/6</td>\n",
       "      <td>36</td>\n",
       "      <td>12</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>globe_3/33</td>\n",
       "      <td>264</td>\n",
       "      <td>22</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>globe_3/33</td>\n",
       "      <td>264</td>\n",
       "      <td>264</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>globe_3/4</td>\n",
       "      <td>32</td>\n",
       "      <td>8</td>\n",
       "      <td>10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>globe_3/4</td>\n",
       "      <td>32</td>\n",
       "      <td>32</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>globe_6/10</td>\n",
       "      <td>140</td>\n",
       "      <td>15</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>globe_6/4</td>\n",
       "      <td>56</td>\n",
       "      <td>12</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>globe_6/8</td>\n",
       "      <td>112</td>\n",
       "      <td>24</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>globe_8/25</td>\n",
       "      <td>450</td>\n",
       "      <td>30</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>wreath_100/100</td>\n",
       "      <td>198</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>wreath_12/12</td>\n",
       "      <td>22</td>\n",
       "      <td>3</td>\n",
       "      <td>10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>wreath_21/21</td>\n",
       "      <td>40</td>\n",
       "      <td>3</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>wreath_33/33</td>\n",
       "      <td>64</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>wreath_6/6</td>\n",
       "      <td>10</td>\n",
       "      <td>3</td>\n",
       "      <td>20</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>wreath_7/7</td>\n",
       "      <td>12</td>\n",
       "      <td>3</td>\n",
       "      <td>15</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       puzzle_type  total_components  unique_components  count\n",
       "0    cube_10/10/10               600                  6      5\n",
       "1    cube_19/19/19              2166                  6      4\n",
       "2       cube_2/2/2                24                  6     25\n",
       "3       cube_2/2/2                24                 24      5\n",
       "4       cube_3/3/3                54                  6    110\n",
       "5       cube_3/3/3                54                 54     10\n",
       "6    cube_33/33/33              6534                  6      2\n",
       "7    cube_33/33/33              6534               6534      1\n",
       "8       cube_4/4/4                96                  6     55\n",
       "9       cube_4/4/4                96                 96      5\n",
       "10      cube_5/5/5               150                  6     30\n",
       "11      cube_5/5/5               150                150      5\n",
       "12      cube_6/6/6               216                  6     11\n",
       "13      cube_6/6/6               216                216      1\n",
       "14      cube_7/7/7               294                  6      5\n",
       "15      cube_8/8/8               384                  6      5\n",
       "16      cube_9/9/9               486                  6      5\n",
       "17      globe_1/16                64                 16      5\n",
       "18       globe_1/8                32                 16      5\n",
       "19       globe_1/8                32                 32      5\n",
       "20       globe_2/6                36                 12      5\n",
       "21      globe_3/33               264                 22      6\n",
       "22      globe_3/33               264                264      2\n",
       "23       globe_3/4                32                  8     10\n",
       "24       globe_3/4                32                 32      5\n",
       "25      globe_6/10               140                 15      5\n",
       "26       globe_6/4                56                 12      5\n",
       "27       globe_6/8               112                 24      5\n",
       "28      globe_8/25               450                 30      2\n",
       "29  wreath_100/100               198                  3      1\n",
       "30    wreath_12/12                22                  3     10\n",
       "31    wreath_21/21                40                  3      5\n",
       "32    wreath_33/33                64                  3      3\n",
       "33      wreath_6/6                10                  3     20\n",
       "34      wreath_7/7                12                  3     15"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# create a df from puzzles_all grouping by puzzle_type and total_components summarizing the number of puzzles\n",
    "# with each unique number of unique components\n",
    "# naming the summary column with the labele count\n",
    "puzzles_summary = puzzles_all.groupby(['puzzle_type', 'total_components', 'unique_components']).size().reset_index(name='count')\n",
    "puzzles_summary.head(50)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [],
   "source": [
    "def test_move_sequence(initial_state, move_sequence, move_dict_permutation):\n",
    "    new_state = initial_state\n",
    "    for i, move in enumerate(move_sequence):\n",
    "        p = move_dict_permutation.get(move)\n",
    "        if p is None:\n",
    "            print(\"Requested move is not in puzzle's Move Dictionary\")\n",
    "            return\n",
    "        new_state = p(new_state)\n",
    "        print(f\"{i}: {move}\")\n",
    "    return(new_state)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [],
   "source": [
    "puzzle_number = 1\n",
    "move_sequence = ss.moves.iloc[puzzle_number]\n",
    "initial_state = puzzles_all.initial_state.iloc[puzzle_number]\n",
    "solution_state = puzzles_all.solution_state.iloc[puzzle_number]\n",
    "puzzle_type = puzzles_all.puzzle_type.iloc[puzzle_number]\n",
    "\n",
    "# create move dictionary\n",
    "move_dict = puzzle_info.loc[puzzle_type]['allowed_moves']\n",
    "move_dict_permutation = {k: Permutation(v) for k, v in move_dict.items()}\n",
    "\n",
    "# add inverse moves to move_dict_permutation\n",
    "keys = list(move_dict_permutation.keys())\n",
    "for k in keys:\n",
    "    # add inverse moves to move_dict_permutation\n",
    "    move_dict_permutation['-' + k] = move_dict_permutation[k] ** -1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Initial State: ['D', 'E', 'C', 'B', 'B', 'E', 'F', 'A', 'F', 'D', 'B', 'F', 'F', 'E', 'B', 'D', 'A', 'A', 'C', 'D', 'C', 'E', 'A', 'C']\n",
      "Initial State: ['D', 'E', 'C', 'B', 'B', 'E', 'F', 'A', 'F', 'D', 'B', 'F', 'F', 'E', 'B', 'D', 'A', 'A', 'C', 'D', 'C', 'E', 'A', 'C']\n",
      "0: f1\n",
      "1: d0\n",
      "2: -r0\n",
      "3: -f1\n",
      "4: -d0\n",
      "5: -f1\n",
      "6: d0\n",
      "7: -r0\n",
      "8: f0\n",
      "9: -f1\n",
      "10: -r0\n",
      "11: f1\n",
      "12: -d1\n",
      "13: -r1\n",
      "14: f1\n",
      "15: d1\n",
      "16: r0\n",
      "17: f1\n",
      "18: d1\n",
      "19: d0\n",
      "20: -r0\n",
      "21: -d0\n",
      "22: -d0\n",
      "23: f1\n",
      "24: d1\n",
      "25: d0\n",
      "26: -r0\n",
      "27: -d0\n",
      "28: -r0\n",
      "29: -d0\n",
      "30: -d0\n",
      "31: r0\n",
      "32: -d0\n",
      "33: -f1\n",
      "34: d0\n",
      "35: -r0\n",
      "36: -r1\n",
      "37: f1\n",
      "38: -f0\n",
      "39: f1\n",
      "40: -d1\n",
      "41: d0\n",
      "42: -r0\n",
      "43: -d0\n",
      "44: -d0\n",
      "45: f1\n",
      "46: -d1\n",
      "47: r0\n",
      "48: -d0\n",
      "49: -d1\n",
      "50: -f1\n",
      "51: -r1\n",
      "52: f1\n",
      "53: d1\n",
      "54: -d0\n",
      "55: -f1\n",
      "56: -d0\n",
      "57: -d1\n",
      "58: r0\n",
      "59: -d0\n",
      "60: -d1\n",
      "61: -f1\n",
      "62: -f0\n",
      "Final State: ['A', 'A', 'A', 'A', 'B', 'B', 'B', 'B', 'C', 'C', 'C', 'C', 'D', 'D', 'D', 'D', 'E', 'E', 'E', 'E', 'F', 'F', 'F', 'F']\n",
      "---------------------------------------------\n",
      "Solution State: ['A', 'A', 'A', 'A', 'B', 'B', 'B', 'B', 'C', 'C', 'C', 'C', 'D', 'D', 'D', 'D', 'E', 'E', 'E', 'E', 'F', 'F', 'F', 'F']\n",
      "Final is equal to Solution: True\n"
     ]
    }
   ],
   "source": [
    "print(f\"Initial State: {initial_state}\")\n",
    "test_final = test_move_sequence(initial_state, move_sequence, move_dict_permutation)\n",
    "print(f\"Final State: {test_final}\")\n",
    "print(f\"{'-'*45}\")\n",
    "print(f\"Solution State: {solution_state}\")\n",
    "print(f\"Final is equal to Solution: {test_final == solution_state}\")\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import heapq\n",
    "import time\n",
    "\n",
    "# Define a function to evaluate the difference between two states to see if they match\n",
    "def evaluate_difference(current_state, final_state):\n",
    "    return (max(0, sum(s != g for s, g in zip(current_state, final_state))))\n",
    "\n",
    "# Define a function to evaluate the score of a state\n",
    "# this is used as the heuristic function for A* (h-value)\n",
    "def evaluate_score(current_state, final_state):\n",
    "    # Reward having the final position match, and also reward having 2 of the same state adjacent to each other\n",
    "    # This has to be fast since it's called so often\n",
    "    return (max(0, sum(s != g for s, g in zip(current_state, final_state))) + sum(s != g for s, g in zip(current_state[1:], current_state[:-1])) + 0.5*sum(s != g for s, g in zip(current_state[2:], current_state[:-2])))\n",
    "\n",
    "\n",
    "def astar(move_dict, initial_state, final_state, wildcards, max_depth=50, timeout = 180):\n",
    "    '''\n",
    "    A* search algorithm. Returns the path of moves to solve the puzzle.\n",
    "    Inputs:\n",
    "        move_dict: Dictionary of moves\n",
    "        initial_state: Initial state of the puzzle\n",
    "        final_state: Final state of the puzzle\n",
    "        wildcards: Number of wildcards allowed\n",
    "        max_depth: Maximum depth to search\n",
    "        timeout: Maximum time to search\n",
    "    Outputs:\n",
    "        path: List of moves to solve the puzzle\n",
    "        node_counter: Number of nodes visited\n",
    "        time_delta: Time elapsed\n",
    "        '''\n",
    "    \n",
    "    # Priority queue to store nodes with their f-values (g + h)\n",
    "    start_time = time.time()\n",
    "    open_set = []\n",
    "    node_counter = 1\n",
    "    \n",
    "    # Use a heap to store nodes with the lowest f-value at the top in open_set\n",
    "    # heap is a list of tuples (f-value, state, path)\n",
    "    heapq.heappush(open_set, (0, initial_state, [])) \n",
    "    \n",
    "    # create closed set to store visited nodes\n",
    "    closed_set = set()\n",
    "\n",
    "    while open_set:\n",
    "        # Check for timeout\n",
    "        time_delta = time.time() - start_time\n",
    "        if time_delta > timeout:\n",
    "            print(\"Timed out.\")\n",
    "            return None, node_counter, time_delta\n",
    "        \n",
    "        # Get the node with the lowest f-value from the heap open_set\n",
    "        current_f, current_state, current_path = heapq.heappop(open_set)\n",
    "        \n",
    "        # Check if we've reached the max depth (early termination)\n",
    "        if len(current_path) > max_depth:\n",
    "            print(\"Max depth exceeded.\")\n",
    "            return None, node_counter, time_delta\n",
    "\n",
    "        # Check if we've reached the goal and return the path, node_counter, and time_delta\n",
    "        if evaluate_difference(current_state, final_state) <= wildcards:\n",
    "            # We've achieved our goal. Return the move path.\n",
    "            return current_path, node_counter, time_delta\n",
    "\n",
    "        # Add the current state to the closed set\n",
    "        closed_set.add(tuple(current_state))\n",
    "        \n",
    "        # Add the next possible moves to the open set\n",
    "        for move_str, move in move_dict.items():\n",
    "            # apply the move permutation to the current state\n",
    "            new_state = move(current_state)\n",
    "            if tuple(new_state) not in closed_set:\n",
    "                if len(current_path) < max_depth:\n",
    "                    # Add the new state to the open set tuple (f-value, state, path)\n",
    "                    # f-value = g + h\n",
    "                        # g is the number of moves taken so far plus 1\n",
    "                        # h is the heuristic score of the new state using evaluate_score\n",
    "                    # state is the new state\n",
    "                    # path is the current path plus the new move\n",
    "                    heapq.heappush(open_set, \n",
    "                                   (len(current_path) + 1 + evaluate_score(new_state, final_state), \n",
    "                                    new_state, \n",
    "                                    current_path + [move_str]))\n",
    "                    # Increment the node counter\n",
    "                    node_counter += 1\n",
    "    \n",
    "    # end of the while loop\n",
    "    # If no solutions are found:\n",
    "    print(\"Open set completed. No solutions.\")\n",
    "    time_delta = time.time() - start_time\n",
    "    return None, node_counter, time_delta\n",
    "\n",
    "def plot_final_path(move_dict, initial_state, final_state, path):\n",
    "    state_list = [initial_state]\n",
    "    for move in path:\n",
    "        p = move_dict.get(move)\n",
    "        state_list.append(p(state_list[-1]))\n",
    "    eval_list = [evaluate_score(state, final_state) for state in state_list]\n",
    "    plt.plot(eval_list)\n",
    "    plt.xlabel(\"Move Number\")\n",
    "    plt.ylabel(\"Heuristic Score\")\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Testing - Puzzle #2 solved in 14 moves. 92753 nodes. 0 wildcards.\n",
      "Solution path: ['-f1', 'f0', '-r1', '-r1', '-f0', '-r0', '-d0', '-f0', 'd0', 'f0', 'f0', '-d0', '-f0', 'd0'].\n"
     ]
    }
   ],
   "source": [
    "# test astar\n",
    "\n",
    "puzzle_number = 2\n",
    "move_sequence = ss.moves.iloc[puzzle_number]\n",
    "initial_state = puzzles_all.initial_state.iloc[puzzle_number]\n",
    "final_state = puzzles_all.solution_state.iloc[puzzle_number]\n",
    "puzzle_type = puzzles_all.puzzle_type.iloc[puzzle_number]\n",
    "wildcards = puzzles_all.num_wildcards.iloc[puzzle_number]\n",
    "\n",
    "# create move dictionary\n",
    "move_dict = puzzle_info.loc[puzzle_type]['allowed_moves']\n",
    "move_dict_permutation = {k: Permutation(v) for k, v in move_dict.items()}\n",
    "\n",
    "# add inverse moves to move_dict_permutation\n",
    "keys = list(move_dict_permutation.keys())\n",
    "for k in keys:\n",
    "    # add inverse moves to move_dict_permutation\n",
    "    move_dict_permutation['-' + k] = move_dict_permutation[k] ** -1\n",
    "\n",
    "solution_path, node_counter, time_delta = astar(move_dict_permutation, initial_state, final_state, wildcards)\n",
    "plot_final_path(move_dict_permutation, initial_state, final_state, solution_path)\n",
    "print(f\"Testing - Puzzle #{puzzle_number} solved in {len(solution_path)} moves. {node_counter} nodes. {wildcards} wildcards.\")\n",
    "print(f\"Solution path: {solution_path}.\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "list"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "type(solution_path)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Testing - Puzzle #0 (cube_2/2/2) solved in 2 moves. 24 nodes. Time = 0.0. 0 wildcards.\n",
      "Solution path: ['r1', '-f1'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #1 (cube_2/2/2) solved in 13 moves. 38359 nodes. Time = 0.33. 0 wildcards.\n",
      "Solution path: ['f1', '-d0', '-r0', 'f1', 'r0', 'f0', 'd1', '-r0', '-d0', 'f0', 'f0', 'd0', '-f0'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #2 (cube_2/2/2) solved in 14 moves. 92753 nodes. Time = 0.8. 0 wildcards.\n",
      "Solution path: ['-f1', 'f0', '-r1', '-r1', '-f0', '-r0', '-d0', '-f0', 'd0', 'f0', 'f0', '-d0', '-f0', 'd0'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #3 (cube_2/2/2) solved in 14 moves. 176509 nodes. Time = 1.52. 0 wildcards.\n",
      "Solution path: ['-f0', '-d0', '-f1', 'r0', '-d1', 'r0', 'f1', '-r1', '-d1', 'r1', '-f0', 'r1', 'f0', '-d1'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #4 (cube_2/2/2) solved in 14 moves. 106131 nodes. Time = 0.91. 0 wildcards.\n",
      "Solution path: ['r0', '-f0', 'r1', '-f1', 'd0', 'r0', 'r0', '-f0', '-r0', 'f0', 'r0', '-f0', '-r0', 'f0'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #5 (cube_2/2/2) solved in 12 moves. 105516 nodes. Time = 5.81. 0 wildcards.\n",
      "Solution path: ['-d1', '-r0', '-r0', 'f0', 'd1', 'r1', '-f1', '-r1', 'f0', '-d1', '-d1', '-f0'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #6 (cube_2/2/2) solved in 14 moves. 90840 nodes. Time = 1.02. 0 wildcards.\n",
      "Solution path: ['-r0', '-d1', 'r1', '-f0', '-d1', '-f0', 'r1', '-f1', '-d1', '-r0', '-f0', '-d0', 'f0', 'd0'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #7 (cube_2/2/2) solved in 13 moves. 206673 nodes. Time = 2.35. 0 wildcards.\n",
      "Solution path: ['-f0', 'd1', '-f0', 'r0', '-d0', 'r0', 'd0', '-r0', '-r0', '-d0', 'r0', 'd0', '-r0'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #8 (cube_2/2/2) solved in 14 moves. 213640 nodes. Time = 2.37. 0 wildcards.\n",
      "Solution path: ['-f0', 'd1', '-d0', '-d0', '-r1', 'd0', 'r1', '-f0', '-f0', 'r1', '-d1', 'f1', '-d1', '-f1'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #9 (cube_2/2/2) solved in 14 moves. 42190 nodes. Time = 0.36. 0 wildcards.\n",
      "Solution path: ['-d1', 'f1', '-d0', '-f0', 'd0', '-f0', '-r0', '-f0', 'd0', 'r0', 'd1', 'r0', '-d1', '-r0'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #10 (cube_2/2/2) solved in 16 moves. 43293 nodes. Time = 0.47. 0 wildcards.\n",
      "Solution path: ['f0', '-r0', '-d1', '-f0', '-r1', 'd1', 'f0', 'd1', 'd1', 'f0', '-d1', 'r1', '-f0', '-r0', 'd0', 'r0'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #11 (cube_2/2/2) solved in 13 moves. 18066 nodes. Time = 0.24. 0 wildcards.\n",
      "Solution path: ['-r1', 'r0', 'd1', '-f1', 'r1', 'f0', 'd0', '-r1', 'f1', 'd1', 'r1', '-d1', '-f1'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #12 (cube_2/2/2) solved in 16 moves. 115607 nodes. Time = 1.32. 0 wildcards.\n",
      "Solution path: ['-r0', 'd0', '-r1', 'f0', '-r0', 'd0', '-r0', 'd1', 'd1', '-f1', '-d1', '-r0', 'f1', 'r1', 'd0', '-r1'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #13 (cube_2/2/2) solved in 15 moves. 50506 nodes. Time = 0.53. 0 wildcards.\n",
      "Solution path: ['-r0', 'd0', '-f0', '-r0', '-d0', '-f0', 'd0', '-f1', '-d0', 'f1', 'r0', 'd1', 'f1', '-d1', '-f1'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #14 (cube_2/2/2) solved in 12 moves. 12208 nodes. Time = 0.11. 0 wildcards.\n",
      "Solution path: ['d1', 'r0', '-d1', '-r1', '-r1', 'd0', 'r1', '-d0', 'f1', 'r0', 'd0', '-r0'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #15 (cube_2/2/2) solved in 14 moves. 23828 nodes. Time = 0.29. 0 wildcards.\n",
      "Solution path: ['d0', '-r1', 'd0', '-r0', 'f0', 'd0', '-f0', '-d1', '-f0', '-f0', 'd1', '-f0', '-d1', 'f0'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #16 (cube_2/2/2) solved in 13 moves. 31492 nodes. Time = 0.37. 0 wildcards.\n",
      "Solution path: ['d0', '-f0', '-d1', '-d1', '-f1', 'r1', 'd0', 'r1', 'd1', '-f0', '-r0', '-d1', 'f0'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #17 (cube_2/2/2) solved in 14 moves. 2577 nodes. Time = 0.02. 0 wildcards.\n",
      "Solution path: ['-d1', 'd0', '-f1', '-d0', '-f1', '-r1', 'f1', '-r1', '-f1', 'r1', 'f1', '-r0', '-d1', 'r0'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #18 (cube_2/2/2) solved in 13 moves. 23622 nodes. Time = 0.2. 0 wildcards.\n",
      "Solution path: ['f1', 'd1', 'f0', '-d1', '-d1', '-r0', 'f1', 'r0', 'r0', 'd1', 'f1', '-d1', '-f1'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #19 (cube_2/2/2) solved in 14 moves. 247156 nodes. Time = 2.94. 0 wildcards.\n",
      "Solution path: ['-f1', 'd1', '-d0', '-r1', '-f1', 'r1', '-r0', '-d0', '-f0', '-d0', '-d0', 'f0', 'f0', 'd0'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #20 (cube_2/2/2) solved in 12 moves. 4455595 nodes. Time = 50.7. 0 wildcards.\n",
      "Solution path: ['-f0', 'r1', '-d0', 'd1', 'r0', '-f0', '-d0', '-f0', 'd0', '-f0', '-d0', 'f0'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #21 (cube_2/2/2) solved in 12 moves. 8308080 nodes. Time = 94.26. 0 wildcards.\n",
      "Solution path: ['-f1', 'r1', '-f0', 'r0', 'f1', 'd0', 'r1', 'r1', '-d0', '-f1', '-d0', '-f1'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #22 (cube_2/2/2) solved in 11 moves. 1106362 nodes. Time = 12.64. 0 wildcards.\n",
      "Solution path: ['-f1', '-r1', '-f0', '-d1', '-f1', '-d0', 'r0', '-d0', '-d0', '-f0', '-d0'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #23 (cube_2/2/2) solved in 11 moves. 284027 nodes. Time = 2.78. 0 wildcards.\n",
      "Solution path: ['f0', 'f1', 'f1', '-r0', '-d0', '-d0', 'r0', '-d0', '-d0', 'r0', 'r0'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #24 (cube_2/2/2) solved in 11 moves. 438910 nodes. Time = 4.99. 0 wildcards.\n",
      "Solution path: ['d1', '-r0', '-d0', '-f0', 'd0', 'f0', '-d0', '-f0', '-f0', 'd0', 'd0'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #25 (cube_2/2/2) solved in 17 moves. 881150 nodes. Time = 9.78. 0 wildcards.\n",
      "Solution path: ['r0', 'd1', 'r1', 'd1', 'f1', '-d1', 'f1', 'r1', '-d1', '-f0', 'd1', '-r0', 'f1', 'f1', '-r1', '-f1', '-f1'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #26 (cube_2/2/2) solved in 13 moves. 233034 nodes. Time = 2.35. 0 wildcards.\n",
      "Solution path: ['-f1', 'd1', '-d0', 'r0', '-f0', '-d0', '-r0', '-r0', 'f0', '-d0', 'f0', 'd0', 'r0'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #27 (cube_2/2/2) solved in 15 moves. 712912 nodes. Time = 8.06. 0 wildcards.\n",
      "Solution path: ['f0', 'r1', 'f0', '-r1', 'f0', 'd1', '-r1', 'f0', 'r0', 'd0', '-r1', 'd1', '-f0', '-d1', 'f0'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #28 (cube_2/2/2) solved in 15 moves. 222171 nodes. Time = 2.35. 0 wildcards.\n",
      "Solution path: ['d1', '-r1', '-f0', '-f0', '-r1', '-f0', '-r1', 'f0', '-r0', 'f0', '-r0', '-f0', 'r1', '-d1', '-r1'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #29 (cube_2/2/2) solved in 16 moves. 303736 nodes. Time = 3.33. 0 wildcards.\n",
      "Solution path: ['-r0', '-d1', '-f1', 'd0', '-f1', '-r0', '-f1', '-r0', 'f0', 'd0', '-f0', 'r1', 'r1', 'f0', '-r1', '-r1'].\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #30 (cube_3/3/3) did not find a solution. 10096147 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #31 (cube_3/3/3) solved in 38 moves. 516453 nodes. Time = 7.54. 6 wildcards.\n",
      "Solution path: ['f2', '-d1', '-r0', '-r1', '-d2', 'r1', 'f0', '-d0', 'f0', '-d0', '-d2', '-f0', 'd2', 'd2', '-d0', '-d0', 'r2', 'd0', '-r2', '-d0', 'r2', '-f0', 'd0', 'f0', 'd2', 'f0', '-d2', '-f0', 'd2', 'd2', 'f0', '-d2', '-d2', '-f0', 'd2', 'r2', '-d2', '-r2'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #32 (cube_3/3/3) solved in 30 moves. 3215769 nodes. Time = 53.39. 0 wildcards.\n",
      "Solution path: ['r1', '-r2', 'd1', 'r0', 'd2', 'r1', 'r2', '-f0', '-r2', 'd0', '-f0', '-f0', 'r2', '-f0', '-f0', 'f2', 'd2', '-f2', '-d2', '-d1', '-f2', '-r2', 'd1', 'd2', 'f2', 'r2', '-d2', '-r2', '-f2', 'r2'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #33 (cube_3/3/3) solved in 46 moves. 353010 nodes. Time = 5.17. 6 wildcards.\n",
      "Solution path: ['-r2', '-r2', '-f2', 'd2', 'd2', 'r1', 'f2', 'f2', '-f1', 'r0', 'd1', '-f1', 'd2', '-f0', 'd2', '-r0', 'd2', '-r0', '-d2', 'r0', '-d2', '-d2', 'f0', '-r2', '-f0', '-f0', 'r2', 'r2', 'f0', 'f2', '-d2', '-f2', 'd2', '-f0', '-d2', '-d2', 'f0', 'd2', '-f0', '-d2', 'f0', 'd2', '-f0', 'd2', 'f0', '-d2'].\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #34 (cube_3/3/3) did not find a solution. 10117032 nodes. Time = 181.46. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #35 (cube_3/3/3) did not find a solution. 10578545 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #36 (cube_3/3/3) did not find a solution. 10586160 nodes. Time = 184.77. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #37 (cube_3/3/3) did not find a solution. 10537406 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #38 (cube_3/3/3) solved in 39 moves. 3941917 nodes. Time = 65.56. 6 wildcards.\n",
      "Solution path: ['r2', '-d1', 'r2', 'f2', '-r2', '-d0', '-f0', '-f0', '-d0', '-r2', '-f2', 'r2', 'f2', 'd1', 'f2', '-d1', '-r0', 'd1', 'r0', '-d1', '-r0', '-d2', 'r0', 'd2', '-r0', '-r0', 'd2', '-f2', '-d2', 'f2', 'f2', 'd2', 'f2', '-d2', '-f2', '-f2', 'd2', 'f2', '-d2'].\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #39 (cube_3/3/3) did not find a solution. 10135011 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #40 (cube_3/3/3) solved in 39 moves. 3359677 nodes. Time = 56.31. 4 wildcards.\n",
      "Solution path: ['-f1', '-r0', '-f0', '-f2', 'r0', 'd2', 'f2', '-d0', '-d2', '-f0', 'd0', 'f0', 'd2', '-f2', 'd2', 'f2', 'f0', '-d2', '-f0', '-r2', 'd2', '-r2', '-d2', '-d2', '-r2', 'd2', 'r2', '-d2', '-f0', 'd2', 'f0', '-d2', 'f0', 'd2', '-f0', 'd2', '-f0', '-d2', 'f0'].\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #41 (cube_3/3/3) did not find a solution. 10362893 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #42 (cube_3/3/3) did not find a solution. 10372566 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #43 (cube_3/3/3) did not find a solution. 10162291 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #44 (cube_3/3/3) did not find a solution. 10624047 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #45 (cube_3/3/3) did not find a solution. 10395091 nodes. Time = 185.43. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #46 (cube_3/3/3) did not find a solution. 10566208 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #47 (cube_3/3/3) did not find a solution. 10344193 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #48 (cube_3/3/3) did not find a solution. 10587280 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #49 (cube_3/3/3) did not find a solution. 10527223 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #50 (cube_3/3/3) did not find a solution. 10306952 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #51 (cube_3/3/3) did not find a solution. 10087796 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #52 (cube_3/3/3) did not find a solution. 10560304 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #53 (cube_3/3/3) did not find a solution. 10314230 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #54 (cube_3/3/3) did not find a solution. 10292793 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #55 (cube_3/3/3) did not find a solution. 10467065 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #56 (cube_3/3/3) did not find a solution. 10462802 nodes. Time = 183.95. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #57 (cube_3/3/3) did not find a solution. 10543182 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #58 (cube_3/3/3) did not find a solution. 10574151 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #59 (cube_3/3/3) did not find a solution. 10437205 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #60 (cube_3/3/3) did not find a solution. 10412324 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #61 (cube_3/3/3) did not find a solution. 10189065 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #62 (cube_3/3/3) did not find a solution. 10392651 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #63 (cube_3/3/3) did not find a solution. 10109436 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #64 (cube_3/3/3) did not find a solution. 10607462 nodes. Time = 180.0. 2 wildcards.\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #65 (cube_3/3/3) solved in 38 moves. 4036989 nodes. Time = 70.07. 4 wildcards.\n",
      "Solution path: ['-f2', '-f0', 'f1', 'd0', '-d1', 'f0', 'd0', 'd2', 'r0', 'f1', '-d2', '-f1', 'd2', 'f0', 'f0', '-d2', '-f0', 'd2', 'f0', '-d2', 'r2', 'd0', 'f0', '-d0', 'f0', 'r1', 'f0', '-r1', '-f0', '-r1', 'f0', '-r1', '-d2', '-d2', '-r1', '-d2', '-d2', '-r1'].\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #66 (cube_3/3/3) did not find a solution. 10379663 nodes. Time = 185.72. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #67 (cube_3/3/3) did not find a solution. 10567805 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #68 (cube_3/3/3) did not find a solution. 10326765 nodes. Time = 181.59. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #69 (cube_3/3/3) did not find a solution. 10444501 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #70 (cube_3/3/3) did not find a solution. 10566036 nodes. Time = 185.85. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #71 (cube_3/3/3) did not find a solution. 10586138 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #72 (cube_3/3/3) did not find a solution. 10584443 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #73 (cube_3/3/3) did not find a solution. 10511029 nodes. Time = 180.0. 4 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #74 (cube_3/3/3) did not find a solution. 10442894 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #75 (cube_3/3/3) did not find a solution. 10610647 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #76 (cube_3/3/3) did not find a solution. 10413939 nodes. Time = 180.0. 2 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #77 (cube_3/3/3) did not find a solution. 10389572 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #78 (cube_3/3/3) did not find a solution. 10307738 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #79 (cube_3/3/3) did not find a solution. 10507480 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #80 (cube_3/3/3) did not find a solution. 10305506 nodes. Time = 180.0. 4 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #81 (cube_3/3/3) did not find a solution. 10292365 nodes. Time = 182.65. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #82 (cube_3/3/3) did not find a solution. 10462394 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #83 (cube_3/3/3) did not find a solution. 10368636 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #84 (cube_3/3/3) did not find a solution. 10613908 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #85 (cube_3/3/3) did not find a solution. 10390993 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #86 (cube_3/3/3) did not find a solution. 10588621 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #87 (cube_3/3/3) did not find a solution. 10200649 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #88 (cube_3/3/3) did not find a solution. 10649500 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #89 (cube_3/3/3) did not find a solution. 10141480 nodes. Time = 180.0. 2 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #90 (cube_3/3/3) did not find a solution. 10495781 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #91 (cube_3/3/3) did not find a solution. 10230637 nodes. Time = 180.62. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #92 (cube_3/3/3) did not find a solution. 10628712 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #93 (cube_3/3/3) did not find a solution. 10573853 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #94 (cube_3/3/3) did not find a solution. 10402279 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #95 (cube_3/3/3) did not find a solution. 10373488 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #96 (cube_3/3/3) did not find a solution. 10249140 nodes. Time = 180.0. 4 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #97 (cube_3/3/3) did not find a solution. 10358732 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #98 (cube_3/3/3) did not find a solution. 10215546 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #99 (cube_3/3/3) did not find a solution. 10689072 nodes. Time = 184.45. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #100 (cube_3/3/3) did not find a solution. 10451876 nodes. Time = 180.0. 4 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #101 (cube_3/3/3) did not find a solution. 10282725 nodes. Time = 180.0. 2 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #102 (cube_3/3/3) did not find a solution. 10656672 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #103 (cube_3/3/3) did not find a solution. 10439894 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #104 (cube_3/3/3) did not find a solution. 10300750 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #105 (cube_3/3/3) did not find a solution. 10456355 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #106 (cube_3/3/3) did not find a solution. 10344177 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #107 (cube_3/3/3) did not find a solution. 10657479 nodes. Time = 180.0. 2 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #108 (cube_3/3/3) did not find a solution. 10281866 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #109 (cube_3/3/3) did not find a solution. 10480238 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #110 (cube_3/3/3) solved in 39 moves. 689410 nodes. Time = 10.14. 4 wildcards.\n",
      "Solution path: ['-d1', '-f0', '-d0', '-d0', '-r1', '-r1', 'd0', '-r0', '-f2', '-d0', 'f2', 'f2', 'd0', 'f2', '-f1', '-r0', 'f1', 'f0', 'd0', '-f0', '-f0', '-d2', 'f0', 'd2', 'f0', '-r2', 'd2', '-f0', '-d2', '-f0', '-f0', 'd1', '-f0', '-d1', '-f0', 'd1', '-f0', '-d1', 'f0'].\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #111 (cube_3/3/3) did not find a solution. 10392742 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #112 (cube_3/3/3) did not find a solution. 10407408 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #113 (cube_3/3/3) did not find a solution. 10457681 nodes. Time = 183.19. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #114 (cube_3/3/3) did not find a solution. 10567927 nodes. Time = 180.0. 4 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #115 (cube_3/3/3) did not find a solution. 10512735 nodes. Time = 183.8. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #116 (cube_3/3/3) did not find a solution. 10604071 nodes. Time = 180.0. 2 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #117 (cube_3/3/3) did not find a solution. 10728966 nodes. Time = 185.62. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #118 (cube_3/3/3) did not find a solution. 10648229 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #119 (cube_3/3/3) did not find a solution. 10453958 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #120 (cube_3/3/3) did not find a solution. 10521522 nodes. Time = 184.46. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #121 (cube_3/3/3) did not find a solution. 10508643 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #122 (cube_3/3/3) did not find a solution. 10503655 nodes. Time = 180.0. 4 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #123 (cube_3/3/3) did not find a solution. 10355271 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #124 (cube_3/3/3) did not find a solution. 10306771 nodes. Time = 184.86. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #125 (cube_3/3/3) did not find a solution. 10598824 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #126 (cube_3/3/3) did not find a solution. 10428180 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #127 (cube_3/3/3) did not find a solution. 10321868 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #128 (cube_3/3/3) did not find a solution. 10447873 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #129 (cube_3/3/3) did not find a solution. 10531335 nodes. Time = 184.15. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #130 (cube_3/3/3) did not find a solution. 10560105 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #131 (cube_3/3/3) did not find a solution. 10594024 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #132 (cube_3/3/3) did not find a solution. 10558491 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #133 (cube_3/3/3) did not find a solution. 10302541 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #134 (cube_3/3/3) did not find a solution. 10566989 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #135 (cube_3/3/3) did not find a solution. 10540626 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #136 (cube_3/3/3) did not find a solution. 10423796 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #137 (cube_3/3/3) did not find a solution. 10524433 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #138 (cube_3/3/3) did not find a solution. 10367653 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #139 (cube_3/3/3) did not find a solution. 10401085 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #140 (cube_3/3/3) did not find a solution. 10276596 nodes. Time = 180.0. 6 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #141 (cube_3/3/3) did not find a solution. 10128028 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #142 (cube_3/3/3) did not find a solution. 10353909 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #143 (cube_3/3/3) did not find a solution. 10136655 nodes. Time = 180.0. 6 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #144 (cube_3/3/3) did not find a solution. 10516755 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #145 (cube_3/3/3) did not find a solution. 10163924 nodes. Time = 180.0. 2 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #146 (cube_3/3/3) did not find a solution. 10219793 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #147 (cube_3/3/3) did not find a solution. 10148799 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #148 (cube_3/3/3) did not find a solution. 10265512 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #149 (cube_3/3/3) did not find a solution. 10162466 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #150 (cube_4/4/4) did not find a solution. 6573290 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #151 (cube_4/4/4) did not find a solution. 6518250 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #152 (cube_4/4/4) did not find a solution. 6333818 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #153 (cube_4/4/4) did not find a solution. 6523166 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #154 (cube_4/4/4) did not find a solution. 6482923 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #155 (cube_4/4/4) did not find a solution. 6379719 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #156 (cube_4/4/4) did not find a solution. 6349072 nodes. Time = 180.0. 8 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #157 (cube_4/4/4) did not find a solution. 6475889 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #158 (cube_4/4/4) did not find a solution. 6462514 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #159 (cube_4/4/4) did not find a solution. 6344268 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #160 (cube_4/4/4) did not find a solution. 6331123 nodes. Time = 180.0. 8 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #161 (cube_4/4/4) did not find a solution. 6210562 nodes. Time = 180.04. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #162 (cube_4/4/4) did not find a solution. 6065493 nodes. Time = 181.18. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #163 (cube_4/4/4) did not find a solution. 6334692 nodes. Time = 180.0. 2 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #164 (cube_4/4/4) did not find a solution. 6314666 nodes. Time = 180.0. 2 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #165 (cube_4/4/4) did not find a solution. 6496812 nodes. Time = 180.0. 4 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #166 (cube_4/4/4) did not find a solution. 5962645 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #167 (cube_4/4/4) did not find a solution. 6556926 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #168 (cube_4/4/4) did not find a solution. 6188103 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #169 (cube_4/4/4) did not find a solution. 6424873 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #170 (cube_4/4/4) did not find a solution. 6408532 nodes. Time = 184.79. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #171 (cube_4/4/4) did not find a solution. 6309228 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #172 (cube_4/4/4) did not find a solution. 6179222 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #173 (cube_4/4/4) did not find a solution. 6543947 nodes. Time = 184.51. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #174 (cube_4/4/4) did not find a solution. 6359358 nodes. Time = 181.11. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #175 (cube_4/4/4) did not find a solution. 6359839 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #176 (cube_4/4/4) did not find a solution. 6335884 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #177 (cube_4/4/4) did not find a solution. 6139424 nodes. Time = 182.07. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #178 (cube_4/4/4) did not find a solution. 6244850 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #179 (cube_4/4/4) did not find a solution. 6184652 nodes. Time = 181.36. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #180 (cube_4/4/4) did not find a solution. 6065387 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #181 (cube_4/4/4) did not find a solution. 6199612 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #182 (cube_4/4/4) did not find a solution. 6194528 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #183 (cube_4/4/4) did not find a solution. 6063986 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #184 (cube_4/4/4) did not find a solution. 6180568 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #185 (cube_4/4/4) did not find a solution. 6210234 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #186 (cube_4/4/4) did not find a solution. 6146854 nodes. Time = 180.0. 4 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #187 (cube_4/4/4) did not find a solution. 5817305 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #188 (cube_4/4/4) did not find a solution. 5907442 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #189 (cube_4/4/4) did not find a solution. 6270543 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #190 (cube_4/4/4) did not find a solution. 5892185 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #191 (cube_4/4/4) did not find a solution. 5944570 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #192 (cube_4/4/4) did not find a solution. 6118576 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #193 (cube_4/4/4) did not find a solution. 6100187 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #194 (cube_4/4/4) did not find a solution. 6096336 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #195 (cube_4/4/4) did not find a solution. 5720562 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #196 (cube_4/4/4) did not find a solution. 5608123 nodes. Time = 184.36. 8 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #197 (cube_4/4/4) did not find a solution. 5990729 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #198 (cube_4/4/4) did not find a solution. 6030014 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #199 (cube_4/4/4) did not find a solution. 5861756 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #200 (cube_4/4/4) did not find a solution. 5853455 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #201 (cube_4/4/4) did not find a solution. 5941780 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #202 (cube_4/4/4) did not find a solution. 5961825 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #203 (cube_4/4/4) did not find a solution. 5964789 nodes. Time = 180.0. 10 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #204 (cube_4/4/4) did not find a solution. 5960186 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #205 (cube_4/4/4) did not find a solution. 5915783 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #206 (cube_4/4/4) did not find a solution. 5733540 nodes. Time = 180.0. 10 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #207 (cube_4/4/4) did not find a solution. 5863306 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #208 (cube_4/4/4) did not find a solution. 5847168 nodes. Time = 180.33. 6 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #209 (cube_4/4/4) did not find a solution. 5745025 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #210 (cube_5/5/5) did not find a solution. 3813856 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #211 (cube_5/5/5) did not find a solution. 4019187 nodes. Time = 180.0. 10 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #212 (cube_5/5/5) did not find a solution. 3894515 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #213 (cube_5/5/5) did not find a solution. 3785668 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #214 (cube_5/5/5) did not find a solution. 3869905 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #215 (cube_5/5/5) did not find a solution. 3740696 nodes. Time = 180.0. 6 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #216 (cube_5/5/5) did not find a solution. 3993242 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #217 (cube_5/5/5) did not find a solution. 3573571 nodes. Time = 181.92. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #218 (cube_5/5/5) did not find a solution. 3850625 nodes. Time = 180.0. 2 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #219 (cube_5/5/5) did not find a solution. 3903119 nodes. Time = 180.0. 2 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #220 (cube_5/5/5) did not find a solution. 3885699 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #221 (cube_5/5/5) did not find a solution. 3992312 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #222 (cube_5/5/5) did not find a solution. 3608477 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #223 (cube_5/5/5) did not find a solution. 3947885 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #224 (cube_5/5/5) did not find a solution. 3818235 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #225 (cube_5/5/5) did not find a solution. 3809475 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #226 (cube_5/5/5) did not find a solution. 3806992 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #227 (cube_5/5/5) did not find a solution. 3710411 nodes. Time = 180.0. 6 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #228 (cube_5/5/5) did not find a solution. 3727481 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #229 (cube_5/5/5) did not find a solution. 3849752 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #230 (cube_5/5/5) did not find a solution. 3899943 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #231 (cube_5/5/5) did not find a solution. 3745188 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #232 (cube_5/5/5) did not find a solution. 3898298 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #233 (cube_5/5/5) did not find a solution. 3513647 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #234 (cube_5/5/5) did not find a solution. 3737125 nodes. Time = 180.0. 16 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #235 (cube_5/5/5) did not find a solution. 4003113 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #236 (cube_5/5/5) did not find a solution. 3876664 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #237 (cube_5/5/5) did not find a solution. 3838841 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #238 (cube_5/5/5) did not find a solution. 3936544 nodes. Time = 180.86. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #239 (cube_5/5/5) did not find a solution. 3992041 nodes. Time = 183.07. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #240 (cube_5/5/5) did not find a solution. 3901611 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #241 (cube_5/5/5) did not find a solution. 3788232 nodes. Time = 180.0. 2 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #242 (cube_5/5/5) did not find a solution. 3758732 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #243 (cube_5/5/5) did not find a solution. 3840455 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #244 (cube_5/5/5) did not find a solution. 3811822 nodes. Time = 180.0. 10 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #245 (cube_6/6/6) did not find a solution. 2833565 nodes. Time = 181.37. 2 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #246 (cube_6/6/6) did not find a solution. 2910874 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #247 (cube_6/6/6) did not find a solution. 2627500 nodes. Time = 180.0. 2 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #248 (cube_6/6/6) did not find a solution. 2693286 nodes. Time = 180.0. 2 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #249 (cube_6/6/6) did not find a solution. 2582537 nodes. Time = 180.0. 18 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #250 (cube_6/6/6) did not find a solution. 2775214 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #251 (cube_6/6/6) did not find a solution. 2769151 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #252 (cube_6/6/6) did not find a solution. 2715150 nodes. Time = 182.53. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #253 (cube_6/6/6) did not find a solution. 2556944 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #254 (cube_6/6/6) did not find a solution. 2695561 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #255 (cube_6/6/6) did not find a solution. 2840842 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #256 (cube_6/6/6) did not find a solution. 2847087 nodes. Time = 180.0. 16 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #257 (cube_7/7/7) did not find a solution. 1880607 nodes. Time = 180.0. 42 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #258 (cube_7/7/7) did not find a solution. 2015549 nodes. Time = 182.17. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #259 (cube_7/7/7) did not find a solution. 1876354 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #260 (cube_7/7/7) did not find a solution. 1866123 nodes. Time = 180.01. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #261 (cube_7/7/7) did not find a solution. 1895512 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #262 (cube_8/8/8) did not find a solution. 1407373 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #263 (cube_8/8/8) did not find a solution. 1585784 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #264 (cube_8/8/8) did not find a solution. 1617008 nodes. Time = 180.0. 34 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #265 (cube_8/8/8) did not find a solution. 1529929 nodes. Time = 180.0. 18 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #266 (cube_8/8/8) did not find a solution. 1568260 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #267 (cube_9/9/9) did not find a solution. 1336634 nodes. Time = 181.53. 38 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #268 (cube_9/9/9) did not find a solution. 1145426 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #269 (cube_9/9/9) did not find a solution. 1135251 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #270 (cube_9/9/9) did not find a solution. 1159577 nodes. Time = 180.0. 16 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #271 (cube_9/9/9) did not find a solution. 1340410 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #272 (cube_10/10/10) did not find a solution. 851302 nodes. Time = 180.01. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #273 (cube_10/10/10) did not find a solution. 945998 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #274 (cube_10/10/10) did not find a solution. 1006386 nodes. Time = 180.01. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #275 (cube_10/10/10) did not find a solution. 1020555 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #276 (cube_10/10/10) did not find a solution. 1021664 nodes. Time = 180.0. 54 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #277 (cube_19/19/19) did not find a solution. 225562 nodes. Time = 180.02. 176 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #278 (cube_19/19/19) did not find a solution. 144305 nodes. Time = 180.02. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #279 (cube_19/19/19) did not find a solution. 226533 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #280 (cube_19/19/19) did not find a solution. 272584 nodes. Time = 180.02. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #281 (cube_33/33/33) did not find a solution. 18639 nodes. Time = 180.08. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #282 (cube_33/33/33) did not find a solution. 26963 nodes. Time = 180.3. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #283 (cube_33/33/33) did not find a solution. 32255 nodes. Time = 180.2. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #284 (wreath_6/6) solved in 7 moves. 571 nodes. Time = 0.0. 0 wildcards.\n",
      "Solution path: ['-r', '-l', 'r', '-l', '-r', '-l', '-l'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #285 (wreath_6/6) solved in 3 moves. 11 nodes. Time = 0.0. 2 wildcards.\n",
      "Solution path: ['-r', '-l', '-l'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #286 (wreath_6/6) solved in 5 moves. 198 nodes. Time = 0.0. 2 wildcards.\n",
      "Solution path: ['-r', 'l', 'r', 'l', 'l'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #287 (wreath_6/6) solved in 2 moves. 8 nodes. Time = 0.0. 2 wildcards.\n",
      "Solution path: ['-r', 'l'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #288 (wreath_6/6) solved in 6 moves. 763 nodes. Time = 0.0. 0 wildcards.\n",
      "Solution path: ['-l', 'r', '-l', '-l', '-r', '-l'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #289 (wreath_6/6) solved in 9 moves. 1265 nodes. Time = 0.01. 0 wildcards.\n",
      "Solution path: ['-l', 'r', 'r', 'l', 'l', '-r', '-l', '-l', 'r'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #290 (wreath_6/6) solved in 10 moves. 3886 nodes. Time = 0.03. 0 wildcards.\n",
      "Solution path: ['-l', '-l', '-l', 'r', '-l', '-l', 'r', 'l', 'r', 'l'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #291 (wreath_6/6) solved in 5 moves. 143 nodes. Time = 0.0. 2 wildcards.\n",
      "Solution path: ['r', 'l', '-r', 'l', 'l'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #292 (wreath_6/6) solved in 8 moves. 1508 nodes. Time = 0.01. 0 wildcards.\n",
      "Solution path: ['-l', 'r', 'l', 'l', 'l', 'r', 'l', 'l'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #293 (wreath_6/6) solved in 8 moves. 1308 nodes. Time = 0.01. 0 wildcards.\n",
      "Solution path: ['-l', '-r', '-l', '-r', 'l', 'l', 'r', 'l'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #294 (wreath_6/6) solved in 10 moves. 3183 nodes. Time = 0.02. 0 wildcards.\n",
      "Solution path: ['r', 'l', '-r', '-l', 'r', 'l', 'l', 'r', '-l', '-l'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #295 (wreath_6/6) solved in 9 moves. 2547 nodes. Time = 0.02. 0 wildcards.\n",
      "Solution path: ['-r', '-r', 'l', 'r', 'l', 'r', 'l', 'r', 'l'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #296 (wreath_6/6) solved in 10 moves. 2111 nodes. Time = 0.01. 0 wildcards.\n",
      "Solution path: ['r', '-l', '-r', '-l', 'r', '-l', 'r', '-l', '-l', '-r'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #297 (wreath_6/6) solved in 9 moves. 1193 nodes. Time = 0.01. 0 wildcards.\n",
      "Solution path: ['-l', '-l', '-r', 'l', 'l', '-r', '-l', '-l', 'r'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #298 (wreath_6/6) solved in 7 moves. 1028 nodes. Time = 0.01. 2 wildcards.\n",
      "Solution path: ['-l', '-l', '-r', 'l', 'r', 'l', '-r'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #299 (wreath_6/6) solved in 8 moves. 2567 nodes. Time = 0.02. 0 wildcards.\n",
      "Solution path: ['-l', '-l', '-l', '-r', '-l', 'r', '-l', '-r'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #300 (wreath_6/6) solved in 12 moves. 5365 nodes. Time = 0.04. 0 wildcards.\n",
      "Solution path: ['l', '-r', '-l', '-l', '-l', '-r', 'l', 'r', '-l', '-l', '-l', '-r'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #301 (wreath_6/6) solved in 5 moves. 47 nodes. Time = 0.0. 0 wildcards.\n",
      "Solution path: ['r', 'l', 'r', '-l', '-l'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #302 (wreath_6/6) solved in 9 moves. 1996 nodes. Time = 0.01. 0 wildcards.\n",
      "Solution path: ['-r', 'l', 'r', 'l', '-r', 'l', 'r', '-l', '-l'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #303 (wreath_6/6) solved in 11 moves. 5331 nodes. Time = 0.04. 0 wildcards.\n",
      "Solution path: ['-l', 'r', '-l', '-l', '-l', 'r', 'l', 'r', 'l', 'r', 'l'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #304 (wreath_7/7) solved in 10 moves. 4525 nodes. Time = 0.03. 0 wildcards.\n",
      "Solution path: ['l', 'r', 'r', 'r', '-l', 'r', 'r', 'l', 'r', 'l'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #305 (wreath_7/7) solved in 9 moves. 2088 nodes. Time = 0.01. 0 wildcards.\n",
      "Solution path: ['r', '-l', '-l', 'r', '-l', '-l', '-r', '-l', '-l'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #306 (wreath_7/7) solved in 11 moves. 2480 nodes. Time = 0.02. 0 wildcards.\n",
      "Solution path: ['-l', '-l', '-r', '-l', '-l', 'r', 'l', 'l', '-r', '-r', '-r'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #307 (wreath_7/7) solved in 11 moves. 2921 nodes. Time = 0.02. 0 wildcards.\n",
      "Solution path: ['-l', '-r', '-l', '-r', '-r', '-l', '-l', '-l', '-l', '-r', '-r'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #308 (wreath_7/7) solved in 8 moves. 713 nodes. Time = 0.0. 0 wildcards.\n",
      "Solution path: ['r', 'l', '-r', 'l', 'l', '-r', 'l', 'r'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #309 (wreath_7/7) solved in 7 moves. 41 nodes. Time = 0.0. 2 wildcards.\n",
      "Solution path: ['-r', '-l', '-r', '-l', '-l', 'r', '-l'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #310 (wreath_7/7) solved in 4 moves. 20 nodes. Time = 0.0. 2 wildcards.\n",
      "Solution path: ['-r', 'l', '-r', '-r'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #311 (wreath_7/7) solved in 12 moves. 4889 nodes. Time = 0.03. 0 wildcards.\n",
      "Solution path: ['-r', '-l', 'r', 'r', 'l', '-r', '-r', '-l', '-l', 'r', 'r', 'r'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #312 (wreath_7/7) solved in 12 moves. 4041 nodes. Time = 0.12. 0 wildcards.\n",
      "Solution path: ['l', 'r', '-l', 'r', '-l', '-l', '-l', 'r', 'r', 'r', 'l', 'l'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #313 (wreath_7/7) solved in 13 moves. 6384 nodes. Time = 0.05. 0 wildcards.\n",
      "Solution path: ['-l', '-r', '-l', '-r', '-r', '-l', '-r', '-l', '-r', 'l', '-r', '-r', '-r'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #314 (wreath_7/7) solved in 9 moves. 1273 nodes. Time = 0.01. 0 wildcards.\n",
      "Solution path: ['-l', '-l', 'r', 'l', '-r', '-l', '-l', '-r', '-r'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #315 (wreath_7/7) solved in 12 moves. 3242 nodes. Time = 0.02. 0 wildcards.\n",
      "Solution path: ['-l', '-r', '-r', '-l', 'r', '-l', '-r', '-r', 'l', '-r', '-r', '-r'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #316 (wreath_7/7) solved in 8 moves. 1052 nodes. Time = 0.01. 0 wildcards.\n",
      "Solution path: ['r', 'l', 'r', 'l', '-r', '-r', '-l', '-l'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #317 (wreath_7/7) solved in 8 moves. 798 nodes. Time = 0.0. 0 wildcards.\n",
      "Solution path: ['r', 'l', '-r', '-l', '-r', '-r', '-l', '-l'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #318 (wreath_7/7) solved in 9 moves. 2429 nodes. Time = 0.02. 0 wildcards.\n",
      "Solution path: ['-r', '-l', '-l', 'r', '-l', '-l', '-r', '-l', 'r'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #319 (wreath_12/12) solved in 18 moves. 15507 nodes. Time = 0.15. 2 wildcards.\n",
      "Solution path: ['l', '-r', 'l', '-r', '-r', 'l', 'r', 'l', 'r', 'l', 'l', '-r', 'l', 'r', 'r', 'r', 'r', 'r'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #320 (wreath_12/12) solved in 15 moves. 62986 nodes. Time = 0.82. 0 wildcards.\n",
      "Solution path: ['l', 'l', 'l', 'l', 'r', 'l', 'l', 'r', '-l', '-l', 'r', '-l', 'r', 'r', '-l'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #321 (wreath_12/12) solved in 16 moves. 93420 nodes. Time = 1.17. 2 wildcards.\n",
      "Solution path: ['-l', '-l', 'r', '-l', 'r', '-l', 'r', '-l', 'r', '-l', '-r', '-l', 'r', '-l', '-l', '-r'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #322 (wreath_12/12) solved in 23 moves. 399149 nodes. Time = 5.25. 0 wildcards.\n",
      "Solution path: ['r', '-l', '-l', 'r', '-l', 'r', 'r', '-l', '-r', '-r', '-r', '-r', '-r', 'l', 'l', 'l', 'l', 'l', 'r', 'l', 'l', 'l', 'r'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #323 (wreath_12/12) solved in 20 moves. 107718 nodes. Time = 1.47. 0 wildcards.\n",
      "Solution path: ['-r', '-r', '-r', 'l', '-r', '-r', '-r', 'l', '-r', 'l', 'l', 'r', 'l', 'l', 'r', '-l', '-r', '-r', '-r', '-r'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #324 (wreath_12/12) solved in 21 moves. 19157 nodes. Time = 0.19. 0 wildcards.\n",
      "Solution path: ['l', 'l', 'r', 'r', 'l', 'r', 'r', 'l', 'l', 'l', 'r', 'r', '-l', 'r', '-l', '-l', '-l', '-r', 'l', 'l', 'l'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #325 (wreath_12/12) solved in 22 moves. 313130 nodes. Time = 4.06. 0 wildcards.\n",
      "Solution path: ['-r', '-l', 'r', '-l', '-l', 'r', 'r', '-l', '-l', 'r', '-l', 'r', 'r', 'r', 'l', 'l', 'l', '-r', '-l', 'r', '-l', '-l'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #326 (wreath_12/12) solved in 22 moves. 230700 nodes. Time = 3.02. 0 wildcards.\n",
      "Solution path: ['-l', 'r', 'r', '-l', '-l', 'r', 'r', '-l', 'r', '-l', 'r', '-l', '-r', '-l', '-r', '-r', 'l', 'r', '-l', 'r', 'r', 'r'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #327 (wreath_12/12) solved in 20 moves. 523534 nodes. Time = 7.49. 0 wildcards.\n",
      "Solution path: ['-r', 'l', 'l', 'r', '-l', 'r', '-l', '-r', '-l', '-r', '-r', '-l', 'r', '-l', '-l', 'r', 'r', 'r', 'r', '-l'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #328 (wreath_12/12) solved in 17 moves. 5563 nodes. Time = 0.05. 2 wildcards.\n",
      "Solution path: ['-r', '-r', 'l', 'l', 'l', 'l', '-r', 'l', 'l', 'l', '-r', 'l', '-r', 'l', 'r', 'l', 'l'].\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #329 (wreath_21/21) solved in 39 moves. 798141 nodes. Time = 13.31. 0 wildcards.\n",
      "Solution path: ['l', '-r', '-l', '-r', '-l', '-r', '-r', 'l', 'l', 'l', 'l', '-r', '-r', '-r', '-r', 'l', 'l', 'l', 'l', 'l', 'l', '-r', 'l', 'l', '-r', '-r', '-r', 'l', '-r', 'l', 'r', '-l', '-l', '-r', '-l', '-l', '-l', '-l', 'r'].\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #330 (wreath_21/21) did not find a solution. 10027993 nodes. Time = 185.39. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #331 (wreath_21/21) did not find a solution. 10150222 nodes. Time = 181.94. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #332 (wreath_21/21) did not find a solution. 9998334 nodes. Time = 181.23. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #333 (wreath_21/21) did not find a solution. 9921131 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #334 (wreath_33/33) did not find a solution. 7249283 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #335 (wreath_33/33) did not find a solution. 7170090 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #336 (wreath_33/33) solved in 48 moves. 660098 nodes. Time = 13.66. 8 wildcards.\n",
      "Solution path: ['-r', '-l', '-l', 'r', '-l', 'r', '-l', '-l', '-l', 'r', '-l', '-l', 'r', 'r', 'r', 'l', '-r', '-l', '-l', '-l', 'r', 'r', 'r', 'l', 'r', '-l', '-l', '-l', '-l', 'r', '-l', 'r', '-l', 'r', 'r', 'r', 'r', 'r', '-l', 'r', 'r', 'r', 'l', 'r', 'r', 'l', 'l', 'l'].\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #337 (wreath_100/100) did not find a solution. 2476161 nodes. Time = 180.0. 8 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #338 (globe_1/8) did not find a solution. 15042046 nodes. Time = 180.55. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #339 (globe_1/8) did not find a solution. 15823052 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #340 (globe_1/8) did not find a solution. 15600773 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #341 (globe_1/8) did not find a solution. 15335905 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #342 (globe_1/8) did not find a solution. 15676377 nodes. Time = 180.0. 2 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #343 (globe_1/8) did not find a solution. 15544363 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #344 (globe_1/8) did not find a solution. 14738406 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #345 (globe_1/8) did not find a solution. 15291494 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #346 (globe_1/8) did not find a solution. 15341685 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #347 (globe_1/8) did not find a solution. 15149967 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #348 (globe_1/16) did not find a solution. 9778780 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #349 (globe_1/16) did not find a solution. 9342501 nodes. Time = 182.43. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #350 (globe_1/16) did not find a solution. 9712362 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #351 (globe_1/16) did not find a solution. 9737650 nodes. Time = 180.0. 2 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #352 (globe_1/16) did not find a solution. 9343796 nodes. Time = 180.0. 2 wildcards.\n",
      "---------------------------------------------\n",
      "Testing - Puzzle #353 (globe_2/6) solved in 23 moves. 5752012 nodes. Time = 70.42. 4 wildcards.\n",
      "Solution path: ['-r1', '-r1', '-r1', '-r1', '-f4', '-f0', '-f10', '-f3', '-f11', '-r2', '-f10', '-f9', '-f11', '-f3', 'r2', '-f2', '-r0', '-r0', '-f2', '-f3', 'r0', 'r0', 'r0'].\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #354 (globe_2/6) did not find a solution. 14013465 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #355 (globe_2/6) did not find a solution. 13914605 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #356 (globe_2/6) did not find a solution. 13950933 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #357 (globe_2/6) did not find a solution. 14131836 nodes. Time = 182.19. 2 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #358 (globe_3/4) did not find a solution. 15573578 nodes. Time = 180.0. 2 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #359 (globe_3/4) did not find a solution. 14843773 nodes. Time = 183.66. 4 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #360 (globe_3/4) did not find a solution. 15496635 nodes. Time = 180.0. 2 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #361 (globe_3/4) did not find a solution. 15025126 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #362 (globe_3/4) did not find a solution. 15137162 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #363 (globe_3/4) did not find a solution. 15265828 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #364 (globe_3/4) did not find a solution. 15304701 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #365 (globe_3/4) did not find a solution. 14944211 nodes. Time = 183.75. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #366 (globe_3/4) did not find a solution. 15462860 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #367 (globe_3/4) did not find a solution. 15132466 nodes. Time = 182.56. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #368 (globe_3/4) did not find a solution. 15067905 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #369 (globe_3/4) did not find a solution. 14731109 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #370 (globe_3/4) did not find a solution. 15104272 nodes. Time = 180.0. 2 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #371 (globe_3/4) did not find a solution. 14719760 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #372 (globe_3/4) did not find a solution. 15092047 nodes. Time = 180.0. 2 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #373 (globe_6/4) did not find a solution. 10242759 nodes. Time = 180.0. 4 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #374 (globe_6/4) did not find a solution. 10266904 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #375 (globe_6/4) did not find a solution. 10447323 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #376 (globe_6/4) did not find a solution. 10074163 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #377 (globe_6/4) did not find a solution. 10295587 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #378 (globe_6/8) did not find a solution. 5234400 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #379 (globe_6/8) did not find a solution. 4997410 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #380 (globe_6/8) did not find a solution. 5078836 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #381 (globe_6/8) did not find a solution. 5092865 nodes. Time = 180.0. 12 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #382 (globe_6/8) did not find a solution. 5057983 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #383 (globe_6/10) did not find a solution. 4189778 nodes. Time = 180.0. 8 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #384 (globe_6/10) did not find a solution. 4227709 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #385 (globe_6/10) did not find a solution. 4229812 nodes. Time = 180.0. 8 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #386 (globe_6/10) did not find a solution. 4178888 nodes. Time = 180.0. 6 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #387 (globe_6/10) did not find a solution. 4204728 nodes. Time = 180.0. 2 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #388 (globe_3/33) did not find a solution. 2455599 nodes. Time = 180.0. 6 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #389 (globe_3/33) did not find a solution. 2425690 nodes. Time = 181.19. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #390 (globe_3/33) did not find a solution. 2477616 nodes. Time = 180.01. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #391 (globe_3/33) did not find a solution. 2358009 nodes. Time = 180.01. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #392 (globe_3/33) did not find a solution. 2428116 nodes. Time = 180.0. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #393 (globe_3/33) did not find a solution. 2435520 nodes. Time = 180.01. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #394 (globe_3/33) did not find a solution. 2432600 nodes. Time = 180.01. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #395 (globe_3/33) did not find a solution. 2376444 nodes. Time = 180.01. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #396 (globe_8/25) did not find a solution. 1452421 nodes. Time = 180.01. 0 wildcards.\n",
      "---------------------------------------------\n",
      "Timed out.\n",
      "Testing - Puzzle #397 (globe_8/25) did not find a solution. 1491250 nodes. Time = 180.01. 0 wildcards.\n",
      "---------------------------------------------\n"
     ]
    }
   ],
   "source": [
    "puzzles_all['solved'] = False\n",
    "puzzles_all['solution_path'] = None\n",
    "puzzles_all['node_count'] = None\n",
    "puzzles_all['time_to_solve'] = None\n",
    "\n",
    "for puzzle_number in puzzles_all.index:\n",
    "    puzzle_type = puzzles_all.puzzle_type.iloc[puzzle_number]\n",
    "    move_sequence = ss.moves.iloc[puzzle_number]\n",
    "    initial_state = puzzles_all.initial_state.iloc[puzzle_number]\n",
    "    final_state = puzzles_all.solution_state.iloc[puzzle_number]\n",
    "    puzzle_type = puzzles_all.puzzle_type.iloc[puzzle_number]\n",
    "    wildcards = puzzles_all.num_wildcards.iloc[puzzle_number]\n",
    "\n",
    "    # create move dictionary\n",
    "    move_dict = puzzle_info.loc[puzzle_type]['allowed_moves']\n",
    "    move_dict_permutation = {k: Permutation(v) for k, v in move_dict.items()}\n",
    "\n",
    "    # add inverse moves to move_dict_permutation\n",
    "    keys = list(move_dict_permutation.keys())\n",
    "    for k in keys:\n",
    "        # add inverse moves to move_dict_permutation\n",
    "        move_dict_permutation['-' + k] = move_dict_permutation[k] ** -1\n",
    "\n",
    "    solution_path, node_counter, time_delta = astar(move_dict_permutation, initial_state, final_state, wildcards, timeout = 180)\n",
    "\n",
    "    #plot_final_path(move_dict_permutation, initial_state, final_state, solution_path)\n",
    "    if solution_path is None:\n",
    "        print(f\"Testing - Puzzle #{puzzle_number} ({puzzle_type}) did not find a solution. {node_counter} nodes. Time = {round(time_delta, 2)}. {wildcards} wildcards.\")\n",
    "        puzzles_all.at[puzzle_number, 'solved'] = False\n",
    "        puzzles_all.at[puzzle_number, 'solution_path'] = solution_path\n",
    "        puzzles_all.at[puzzle_number, 'node_count'] = node_counter\n",
    "        puzzles_all.at[puzzle_number, 'time_to_solve'] = time_delta\n",
    "        print(f\"{'-'*45}\")\n",
    "    else:\n",
    "        puzzles_all.at[puzzle_number, 'solved'] = True\n",
    "        puzzles_all.at[puzzle_number, 'solution_path'] = solution_path\n",
    "        puzzles_all.at[puzzle_number, 'node_count'] = node_counter\n",
    "        puzzles_all.at[puzzle_number, 'time_to_solve'] = time_delta\n",
    "        print(f\"Testing - Puzzle #{puzzle_number} ({puzzle_type}) solved in {len(solution_path)} moves. {node_counter} nodes. Time = {round(time_delta, 2)}. {wildcards} wildcards.\")\n",
    "        print(f\"Solution path: {solution_path}.\")\n",
    "        print(f\"{'-'*45}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.86"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Percentage of puzzles solved: 21.36%\n"
     ]
    }
   ],
   "source": [
    "# count the number of puzzles solved as a percentage of the total (2 decmil places)\n",
    "puzzles_all['solved'].sum()/len(puzzles_all)\n",
    "print(f\"Percentage of puzzles solved: {puzzles_all['solved'].sum()/len(puzzles_all):.2%}\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>total_puzzels</th>\n",
       "      <th>total_solved</th>\n",
       "      <th>percent_solved</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>puzzle_type</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>cube_10/10/10</th>\n",
       "      <td>5</td>\n",
       "      <td>0</td>\n",
       "      <td>0.0000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>cube_19/19/19</th>\n",
       "      <td>4</td>\n",
       "      <td>0</td>\n",
       "      <td>0.0000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>cube_2/2/2</th>\n",
       "      <td>30</td>\n",
       "      <td>30</td>\n",
       "      <td>100.0000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>cube_3/3/3</th>\n",
       "      <td>120</td>\n",
       "      <td>7</td>\n",
       "      <td>5.8333</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>cube_33/33/33</th>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>0.0000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>cube_4/4/4</th>\n",
       "      <td>60</td>\n",
       "      <td>0</td>\n",
       "      <td>0.0000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>cube_5/5/5</th>\n",
       "      <td>35</td>\n",
       "      <td>0</td>\n",
       "      <td>0.0000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>cube_6/6/6</th>\n",
       "      <td>12</td>\n",
       "      <td>0</td>\n",
       "      <td>0.0000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>cube_7/7/7</th>\n",
       "      <td>5</td>\n",
       "      <td>0</td>\n",
       "      <td>0.0000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>cube_8/8/8</th>\n",
       "      <td>5</td>\n",
       "      <td>0</td>\n",
       "      <td>0.0000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>cube_9/9/9</th>\n",
       "      <td>5</td>\n",
       "      <td>0</td>\n",
       "      <td>0.0000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>globe_1/16</th>\n",
       "      <td>5</td>\n",
       "      <td>0</td>\n",
       "      <td>0.0000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>globe_1/8</th>\n",
       "      <td>10</td>\n",
       "      <td>0</td>\n",
       "      <td>0.0000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>globe_2/6</th>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>20.0000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>globe_3/33</th>\n",
       "      <td>8</td>\n",
       "      <td>0</td>\n",
       "      <td>0.0000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>globe_3/4</th>\n",
       "      <td>15</td>\n",
       "      <td>0</td>\n",
       "      <td>0.0000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>globe_6/10</th>\n",
       "      <td>5</td>\n",
       "      <td>0</td>\n",
       "      <td>0.0000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>globe_6/4</th>\n",
       "      <td>5</td>\n",
       "      <td>0</td>\n",
       "      <td>0.0000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>globe_6/8</th>\n",
       "      <td>5</td>\n",
       "      <td>0</td>\n",
       "      <td>0.0000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>globe_8/25</th>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>0.0000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>wreath_100/100</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0.0000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>wreath_12/12</th>\n",
       "      <td>10</td>\n",
       "      <td>10</td>\n",
       "      <td>100.0000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>wreath_21/21</th>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>20.0000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>wreath_33/33</th>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>33.3333</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>wreath_6/6</th>\n",
       "      <td>20</td>\n",
       "      <td>20</td>\n",
       "      <td>100.0000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>wreath_7/7</th>\n",
       "      <td>15</td>\n",
       "      <td>15</td>\n",
       "      <td>100.0000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                total_puzzels  total_solved  percent_solved\n",
       "puzzle_type                                                \n",
       "cube_10/10/10               5             0          0.0000\n",
       "cube_19/19/19               4             0          0.0000\n",
       "cube_2/2/2                 30            30        100.0000\n",
       "cube_3/3/3                120             7          5.8333\n",
       "cube_33/33/33               3             0          0.0000\n",
       "cube_4/4/4                 60             0          0.0000\n",
       "cube_5/5/5                 35             0          0.0000\n",
       "cube_6/6/6                 12             0          0.0000\n",
       "cube_7/7/7                  5             0          0.0000\n",
       "cube_8/8/8                  5             0          0.0000\n",
       "cube_9/9/9                  5             0          0.0000\n",
       "globe_1/16                  5             0          0.0000\n",
       "globe_1/8                  10             0          0.0000\n",
       "globe_2/6                   5             1         20.0000\n",
       "globe_3/33                  8             0          0.0000\n",
       "globe_3/4                  15             0          0.0000\n",
       "globe_6/10                  5             0          0.0000\n",
       "globe_6/4                   5             0          0.0000\n",
       "globe_6/8                   5             0          0.0000\n",
       "globe_8/25                  2             0          0.0000\n",
       "wreath_100/100              1             0          0.0000\n",
       "wreath_12/12               10            10        100.0000\n",
       "wreath_21/21                5             1         20.0000\n",
       "wreath_33/33                3             1         33.3333\n",
       "wreath_6/6                 20            20        100.0000\n",
       "wreath_7/7                 15            15        100.0000"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# create a df from puzzles_all grouping by puzzle_type with columns for total puzzles, number solved, and percent solved\n",
    "puzzles_summary = puzzles_all.groupby(['puzzle_type']).agg(\n",
    "    total_puzzels=('puzzle_type', 'count'),\n",
    "    total_solved=('solved', 'sum'),\n",
    "    percent_solved=('solved', lambda x: round(x.sum()/len(x) * 10000, 2) / 100)\n",
    ")\n",
    "puzzles_summary.head(50)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 118,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "12.345699999999999"
      ]
     },
     "execution_count": 118,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "round(.12345678 * 10000, 2)/100\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>puzzle_type</th>\n",
       "      <th>solution_state</th>\n",
       "      <th>initial_state</th>\n",
       "      <th>num_wildcards</th>\n",
       "      <th>total_components</th>\n",
       "      <th>all_unique_components</th>\n",
       "      <th>unique_components</th>\n",
       "      <th>solved</th>\n",
       "      <th>solution_path</th>\n",
       "      <th>node_count</th>\n",
       "      <th>time_to_solve</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>id</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>[A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...</td>\n",
       "      <td>[A, A, E, C, F, F, C, C, C, D, B, D, D, B, A, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>54</td>\n",
       "      <td>[A, B, C, D, E, F]</td>\n",
       "      <td>6</td>\n",
       "      <td>False</td>\n",
       "      <td>None</td>\n",
       "      <td>10096147</td>\n",
       "      <td>180.00022</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>[A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...</td>\n",
       "      <td>[C, B, E, B, A, B, A, F, F, E, D, D, F, E, A, ...</td>\n",
       "      <td>6</td>\n",
       "      <td>54</td>\n",
       "      <td>[A, B, C, D, E, F]</td>\n",
       "      <td>6</td>\n",
       "      <td>True</td>\n",
       "      <td>[f2, -d1, -r0, -r1, -d2, r1, f0, -d0, f0, -d0,...</td>\n",
       "      <td>516453</td>\n",
       "      <td>7.543039</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>[A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...</td>\n",
       "      <td>[F, B, B, E, E, D, B, E, E, F, A, D, C, D, A, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>54</td>\n",
       "      <td>[A, B, C, D, E, F]</td>\n",
       "      <td>6</td>\n",
       "      <td>True</td>\n",
       "      <td>[r1, -r2, d1, r0, d2, r1, r2, -f0, -r2, d0, -f...</td>\n",
       "      <td>3215769</td>\n",
       "      <td>53.388252</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>[A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...</td>\n",
       "      <td>[C, A, F, D, F, A, B, F, D, F, B, A, C, B, B, ...</td>\n",
       "      <td>6</td>\n",
       "      <td>54</td>\n",
       "      <td>[A, B, C, D, E, F]</td>\n",
       "      <td>6</td>\n",
       "      <td>True</td>\n",
       "      <td>[-r2, -r2, -f2, d2, d2, r1, f2, f2, -f1, r0, d...</td>\n",
       "      <td>353010</td>\n",
       "      <td>5.174142</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>[A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...</td>\n",
       "      <td>[B, C, F, F, D, D, C, A, B, A, B, A, E, A, F, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>54</td>\n",
       "      <td>[A, B, C, D, E, F]</td>\n",
       "      <td>6</td>\n",
       "      <td>False</td>\n",
       "      <td>None</td>\n",
       "      <td>10117032</td>\n",
       "      <td>181.462675</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>[A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...</td>\n",
       "      <td>[D, C, C, E, D, E, B, B, B, E, C, C, F, C, F, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>54</td>\n",
       "      <td>[A, B, C, D, E, F]</td>\n",
       "      <td>6</td>\n",
       "      <td>False</td>\n",
       "      <td>None</td>\n",
       "      <td>10578545</td>\n",
       "      <td>180.000743</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>[A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...</td>\n",
       "      <td>[B, C, D, A, D, A, A, E, A, B, B, B, F, A, E, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>54</td>\n",
       "      <td>[A, B, C, D, E, F]</td>\n",
       "      <td>6</td>\n",
       "      <td>False</td>\n",
       "      <td>None</td>\n",
       "      <td>10586160</td>\n",
       "      <td>184.765062</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>[A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...</td>\n",
       "      <td>[B, D, D, A, F, D, D, C, A, E, D, C, A, B, B, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>54</td>\n",
       "      <td>[A, B, C, D, E, F]</td>\n",
       "      <td>6</td>\n",
       "      <td>False</td>\n",
       "      <td>None</td>\n",
       "      <td>10537406</td>\n",
       "      <td>180.00053</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>[A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...</td>\n",
       "      <td>[F, C, B, F, A, D, A, D, F, D, E, B, F, E, D, ...</td>\n",
       "      <td>6</td>\n",
       "      <td>54</td>\n",
       "      <td>[A, B, C, D, E, F]</td>\n",
       "      <td>6</td>\n",
       "      <td>True</td>\n",
       "      <td>[r2, -d1, r2, f2, -r2, -d0, -f0, -f0, -d0, -r2...</td>\n",
       "      <td>3941917</td>\n",
       "      <td>65.563192</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>[A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...</td>\n",
       "      <td>[D, D, A, E, D, F, D, A, F, C, D, B, A, F, A, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>54</td>\n",
       "      <td>[A, B, C, D, E, F]</td>\n",
       "      <td>6</td>\n",
       "      <td>False</td>\n",
       "      <td>None</td>\n",
       "      <td>10135011</td>\n",
       "      <td>180.000864</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>40</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>[A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...</td>\n",
       "      <td>[E, E, B, E, E, A, C, F, B, D, C, C, E, B, B, ...</td>\n",
       "      <td>4</td>\n",
       "      <td>54</td>\n",
       "      <td>[A, B, C, D, E, F]</td>\n",
       "      <td>6</td>\n",
       "      <td>True</td>\n",
       "      <td>[-f1, -r0, -f0, -f2, r0, d2, f2, -d0, -d2, -f0...</td>\n",
       "      <td>3359677</td>\n",
       "      <td>56.307013</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>41</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>[A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...</td>\n",
       "      <td>[B, B, A, F, E, A, B, F, C, E, D, F, E, F, D, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>54</td>\n",
       "      <td>[A, B, C, D, E, F]</td>\n",
       "      <td>6</td>\n",
       "      <td>False</td>\n",
       "      <td>None</td>\n",
       "      <td>10362893</td>\n",
       "      <td>180.000704</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>42</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>[A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...</td>\n",
       "      <td>[F, B, A, C, B, D, B, F, E, A, E, D, F, F, C, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>54</td>\n",
       "      <td>[A, B, C, D, E, F]</td>\n",
       "      <td>6</td>\n",
       "      <td>False</td>\n",
       "      <td>None</td>\n",
       "      <td>10372566</td>\n",
       "      <td>180.000741</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>43</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>[A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...</td>\n",
       "      <td>[A, C, D, C, E, F, C, C, E, B, F, F, B, B, B, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>54</td>\n",
       "      <td>[A, B, C, D, E, F]</td>\n",
       "      <td>6</td>\n",
       "      <td>False</td>\n",
       "      <td>None</td>\n",
       "      <td>10162291</td>\n",
       "      <td>180.000085</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>44</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>[A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...</td>\n",
       "      <td>[C, D, C, F, C, D, C, E, B, A, A, E, E, F, B, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>54</td>\n",
       "      <td>[A, B, C, D, E, F]</td>\n",
       "      <td>6</td>\n",
       "      <td>False</td>\n",
       "      <td>None</td>\n",
       "      <td>10624047</td>\n",
       "      <td>180.000083</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>45</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>[A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...</td>\n",
       "      <td>[F, F, D, D, D, C, E, D, B, A, C, C, E, C, E, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>54</td>\n",
       "      <td>[A, B, C, D, E, F]</td>\n",
       "      <td>6</td>\n",
       "      <td>False</td>\n",
       "      <td>None</td>\n",
       "      <td>10395091</td>\n",
       "      <td>185.430278</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>46</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>[A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...</td>\n",
       "      <td>[B, B, F, B, B, C, E, F, C, B, E, D, F, C, C, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>54</td>\n",
       "      <td>[A, B, C, D, E, F]</td>\n",
       "      <td>6</td>\n",
       "      <td>False</td>\n",
       "      <td>None</td>\n",
       "      <td>10566208</td>\n",
       "      <td>180.000437</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>47</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>[A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...</td>\n",
       "      <td>[B, A, B, E, C, B, C, B, F, D, F, E, F, F, C, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>54</td>\n",
       "      <td>[A, B, C, D, E, F]</td>\n",
       "      <td>6</td>\n",
       "      <td>False</td>\n",
       "      <td>None</td>\n",
       "      <td>10344193</td>\n",
       "      <td>180.000413</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>48</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>[A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...</td>\n",
       "      <td>[E, F, F, A, D, F, D, A, A, E, E, B, E, F, A, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>54</td>\n",
       "      <td>[A, B, C, D, E, F]</td>\n",
       "      <td>6</td>\n",
       "      <td>False</td>\n",
       "      <td>None</td>\n",
       "      <td>10587280</td>\n",
       "      <td>180.000477</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>49</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>[A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...</td>\n",
       "      <td>[C, B, E, C, D, E, F, A, B, E, C, C, B, E, A, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>54</td>\n",
       "      <td>[A, B, C, D, E, F]</td>\n",
       "      <td>6</td>\n",
       "      <td>False</td>\n",
       "      <td>None</td>\n",
       "      <td>10527223</td>\n",
       "      <td>180.000352</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>[A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...</td>\n",
       "      <td>[A, A, F, D, C, B, C, F, D, F, E, F, B, F, B, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>54</td>\n",
       "      <td>[A, B, C, D, E, F]</td>\n",
       "      <td>6</td>\n",
       "      <td>False</td>\n",
       "      <td>None</td>\n",
       "      <td>10306952</td>\n",
       "      <td>180.000225</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>51</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>[A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...</td>\n",
       "      <td>[D, D, C, F, E, B, B, F, B, A, C, E, C, F, E, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>54</td>\n",
       "      <td>[A, B, C, D, E, F]</td>\n",
       "      <td>6</td>\n",
       "      <td>False</td>\n",
       "      <td>None</td>\n",
       "      <td>10087796</td>\n",
       "      <td>180.000204</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>52</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>[A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...</td>\n",
       "      <td>[E, E, A, F, F, E, C, C, F, F, B, E, D, D, E, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>54</td>\n",
       "      <td>[A, B, C, D, E, F]</td>\n",
       "      <td>6</td>\n",
       "      <td>False</td>\n",
       "      <td>None</td>\n",
       "      <td>10560304</td>\n",
       "      <td>180.000044</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>53</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>[A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...</td>\n",
       "      <td>[E, B, B, D, D, D, A, F, F, C, C, C, A, E, B, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>54</td>\n",
       "      <td>[A, B, C, D, E, F]</td>\n",
       "      <td>6</td>\n",
       "      <td>False</td>\n",
       "      <td>None</td>\n",
       "      <td>10314230</td>\n",
       "      <td>180.000777</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>54</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>[A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...</td>\n",
       "      <td>[C, A, B, F, C, B, D, D, E, C, C, A, F, B, D, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>54</td>\n",
       "      <td>[A, B, C, D, E, F]</td>\n",
       "      <td>6</td>\n",
       "      <td>False</td>\n",
       "      <td>None</td>\n",
       "      <td>10292793</td>\n",
       "      <td>180.000665</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>55</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>[A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...</td>\n",
       "      <td>[E, A, D, E, F, B, E, F, A, F, E, B, D, B, F, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>54</td>\n",
       "      <td>[A, B, C, D, E, F]</td>\n",
       "      <td>6</td>\n",
       "      <td>False</td>\n",
       "      <td>None</td>\n",
       "      <td>10467065</td>\n",
       "      <td>180.000126</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>56</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>[A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...</td>\n",
       "      <td>[C, E, C, F, A, A, D, D, B, C, C, A, E, C, C, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>54</td>\n",
       "      <td>[A, B, C, D, E, F]</td>\n",
       "      <td>6</td>\n",
       "      <td>False</td>\n",
       "      <td>None</td>\n",
       "      <td>10462802</td>\n",
       "      <td>183.949872</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>57</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>[A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...</td>\n",
       "      <td>[B, D, A, A, D, C, B, C, F, C, A, D, A, F, B, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>54</td>\n",
       "      <td>[A, B, C, D, E, F]</td>\n",
       "      <td>6</td>\n",
       "      <td>False</td>\n",
       "      <td>None</td>\n",
       "      <td>10543182</td>\n",
       "      <td>180.000348</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>58</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>[A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...</td>\n",
       "      <td>[B, C, E, C, D, A, C, E, B, A, D, E, B, A, B, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>54</td>\n",
       "      <td>[A, B, C, D, E, F]</td>\n",
       "      <td>6</td>\n",
       "      <td>False</td>\n",
       "      <td>None</td>\n",
       "      <td>10574151</td>\n",
       "      <td>180.000974</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>59</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>[A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...</td>\n",
       "      <td>[D, D, C, B, D, F, B, C, F, C, A, D, D, C, C, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>54</td>\n",
       "      <td>[A, B, C, D, E, F]</td>\n",
       "      <td>6</td>\n",
       "      <td>False</td>\n",
       "      <td>None</td>\n",
       "      <td>10437205</td>\n",
       "      <td>180.000969</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>60</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>[A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...</td>\n",
       "      <td>[F, A, F, F, E, D, D, E, C, A, B, A, D, F, B, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>54</td>\n",
       "      <td>[A, B, C, D, E, F]</td>\n",
       "      <td>6</td>\n",
       "      <td>False</td>\n",
       "      <td>None</td>\n",
       "      <td>10412324</td>\n",
       "      <td>180.000217</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>61</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>[A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...</td>\n",
       "      <td>[B, E, B, B, E, C, D, B, F, A, E, D, D, F, F, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>54</td>\n",
       "      <td>[A, B, C, D, E, F]</td>\n",
       "      <td>6</td>\n",
       "      <td>False</td>\n",
       "      <td>None</td>\n",
       "      <td>10189065</td>\n",
       "      <td>180.000686</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>62</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>[A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...</td>\n",
       "      <td>[C, F, E, D, A, E, C, F, E, B, E, F, B, B, F, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>54</td>\n",
       "      <td>[A, B, C, D, E, F]</td>\n",
       "      <td>6</td>\n",
       "      <td>False</td>\n",
       "      <td>None</td>\n",
       "      <td>10392651</td>\n",
       "      <td>180.00035</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>63</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>[A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...</td>\n",
       "      <td>[A, C, F, F, A, D, C, F, D, B, E, E, A, E, D, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>54</td>\n",
       "      <td>[A, B, C, D, E, F]</td>\n",
       "      <td>6</td>\n",
       "      <td>False</td>\n",
       "      <td>None</td>\n",
       "      <td>10109436</td>\n",
       "      <td>180.000061</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>64</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>[A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...</td>\n",
       "      <td>[E, B, B, A, A, B, E, F, F, F, C, B, F, E, A, ...</td>\n",
       "      <td>2</td>\n",
       "      <td>54</td>\n",
       "      <td>[A, B, C, D, E, F]</td>\n",
       "      <td>6</td>\n",
       "      <td>False</td>\n",
       "      <td>None</td>\n",
       "      <td>10607462</td>\n",
       "      <td>180.000329</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>65</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>[A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...</td>\n",
       "      <td>[A, F, C, F, B, B, F, D, D, E, A, C, D, E, A, ...</td>\n",
       "      <td>4</td>\n",
       "      <td>54</td>\n",
       "      <td>[A, B, C, D, E, F]</td>\n",
       "      <td>6</td>\n",
       "      <td>True</td>\n",
       "      <td>[-f2, -f0, f1, d0, -d1, f0, d0, d2, r0, f1, -d...</td>\n",
       "      <td>4036989</td>\n",
       "      <td>70.067578</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>66</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>[A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...</td>\n",
       "      <td>[F, A, E, B, F, F, D, D, A, A, C, B, E, B, C, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>54</td>\n",
       "      <td>[A, B, C, D, E, F]</td>\n",
       "      <td>6</td>\n",
       "      <td>False</td>\n",
       "      <td>None</td>\n",
       "      <td>10379663</td>\n",
       "      <td>185.720054</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>67</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>[A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...</td>\n",
       "      <td>[C, F, D, F, D, D, C, D, D, B, E, F, C, A, F, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>54</td>\n",
       "      <td>[A, B, C, D, E, F]</td>\n",
       "      <td>6</td>\n",
       "      <td>False</td>\n",
       "      <td>None</td>\n",
       "      <td>10567805</td>\n",
       "      <td>180.000354</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>68</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>[A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...</td>\n",
       "      <td>[B, E, B, B, D, F, B, A, F, C, C, D, D, F, D, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>54</td>\n",
       "      <td>[A, B, C, D, E, F]</td>\n",
       "      <td>6</td>\n",
       "      <td>False</td>\n",
       "      <td>None</td>\n",
       "      <td>10326765</td>\n",
       "      <td>181.590657</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>69</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>[A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...</td>\n",
       "      <td>[F, A, A, E, B, D, A, B, E, E, F, D, A, C, B, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>54</td>\n",
       "      <td>[A, B, C, D, E, F]</td>\n",
       "      <td>6</td>\n",
       "      <td>False</td>\n",
       "      <td>None</td>\n",
       "      <td>10444501</td>\n",
       "      <td>180.000904</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>70</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>[A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...</td>\n",
       "      <td>[F, B, E, D, A, F, C, A, B, F, E, E, E, E, A, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>54</td>\n",
       "      <td>[A, B, C, D, E, F]</td>\n",
       "      <td>6</td>\n",
       "      <td>False</td>\n",
       "      <td>None</td>\n",
       "      <td>10566036</td>\n",
       "      <td>185.847492</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>71</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>[A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...</td>\n",
       "      <td>[B, C, C, F, E, F, B, E, C, C, B, A, E, B, F, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>54</td>\n",
       "      <td>[A, B, C, D, E, F]</td>\n",
       "      <td>6</td>\n",
       "      <td>False</td>\n",
       "      <td>None</td>\n",
       "      <td>10586138</td>\n",
       "      <td>180.000957</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>72</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>[A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...</td>\n",
       "      <td>[C, B, A, B, C, A, C, D, B, A, C, A, E, D, D, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>54</td>\n",
       "      <td>[A, B, C, D, E, F]</td>\n",
       "      <td>6</td>\n",
       "      <td>False</td>\n",
       "      <td>None</td>\n",
       "      <td>10584443</td>\n",
       "      <td>180.000288</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>73</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>[A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...</td>\n",
       "      <td>[A, A, F, D, D, D, A, D, B, E, E, F, E, C, C, ...</td>\n",
       "      <td>4</td>\n",
       "      <td>54</td>\n",
       "      <td>[A, B, C, D, E, F]</td>\n",
       "      <td>6</td>\n",
       "      <td>False</td>\n",
       "      <td>None</td>\n",
       "      <td>10511029</td>\n",
       "      <td>180.00046</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>74</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>[A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...</td>\n",
       "      <td>[E, D, C, A, A, C, F, C, D, D, F, A, B, B, B, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>54</td>\n",
       "      <td>[A, B, C, D, E, F]</td>\n",
       "      <td>6</td>\n",
       "      <td>False</td>\n",
       "      <td>None</td>\n",
       "      <td>10442894</td>\n",
       "      <td>180.00068</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>[A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...</td>\n",
       "      <td>[C, C, C, A, C, C, D, E, E, A, A, B, B, F, E, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>54</td>\n",
       "      <td>[A, B, C, D, E, F]</td>\n",
       "      <td>6</td>\n",
       "      <td>False</td>\n",
       "      <td>None</td>\n",
       "      <td>10610647</td>\n",
       "      <td>180.000417</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>76</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>[A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...</td>\n",
       "      <td>[C, D, A, D, B, F, B, D, C, E, E, A, B, E, B, ...</td>\n",
       "      <td>2</td>\n",
       "      <td>54</td>\n",
       "      <td>[A, B, C, D, E, F]</td>\n",
       "      <td>6</td>\n",
       "      <td>False</td>\n",
       "      <td>None</td>\n",
       "      <td>10413939</td>\n",
       "      <td>180.000592</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>77</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>[A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...</td>\n",
       "      <td>[D, C, F, F, D, E, E, A, B, D, D, C, E, F, D, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>54</td>\n",
       "      <td>[A, B, C, D, E, F]</td>\n",
       "      <td>6</td>\n",
       "      <td>False</td>\n",
       "      <td>None</td>\n",
       "      <td>10389572</td>\n",
       "      <td>180.000996</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>78</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>[A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...</td>\n",
       "      <td>[B, C, A, E, B, C, B, B, C, E, A, A, B, E, A, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>54</td>\n",
       "      <td>[A, B, C, D, E, F]</td>\n",
       "      <td>6</td>\n",
       "      <td>False</td>\n",
       "      <td>None</td>\n",
       "      <td>10307738</td>\n",
       "      <td>180.000863</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>79</th>\n",
       "      <td>cube_3/3/3</td>\n",
       "      <td>[A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...</td>\n",
       "      <td>[C, C, D, D, A, E, E, A, C, B, C, B, C, B, B, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>54</td>\n",
       "      <td>[A, B, C, D, E, F]</td>\n",
       "      <td>6</td>\n",
       "      <td>False</td>\n",
       "      <td>None</td>\n",
       "      <td>10507480</td>\n",
       "      <td>180.000764</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   puzzle_type                                     solution_state  \\\n",
       "id                                                                  \n",
       "30  cube_3/3/3  [A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...   \n",
       "31  cube_3/3/3  [A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...   \n",
       "32  cube_3/3/3  [A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...   \n",
       "33  cube_3/3/3  [A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...   \n",
       "34  cube_3/3/3  [A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...   \n",
       "35  cube_3/3/3  [A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...   \n",
       "36  cube_3/3/3  [A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...   \n",
       "37  cube_3/3/3  [A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...   \n",
       "38  cube_3/3/3  [A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...   \n",
       "39  cube_3/3/3  [A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...   \n",
       "40  cube_3/3/3  [A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...   \n",
       "41  cube_3/3/3  [A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...   \n",
       "42  cube_3/3/3  [A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...   \n",
       "43  cube_3/3/3  [A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...   \n",
       "44  cube_3/3/3  [A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...   \n",
       "45  cube_3/3/3  [A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...   \n",
       "46  cube_3/3/3  [A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...   \n",
       "47  cube_3/3/3  [A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...   \n",
       "48  cube_3/3/3  [A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...   \n",
       "49  cube_3/3/3  [A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...   \n",
       "50  cube_3/3/3  [A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...   \n",
       "51  cube_3/3/3  [A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...   \n",
       "52  cube_3/3/3  [A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...   \n",
       "53  cube_3/3/3  [A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...   \n",
       "54  cube_3/3/3  [A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...   \n",
       "55  cube_3/3/3  [A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...   \n",
       "56  cube_3/3/3  [A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...   \n",
       "57  cube_3/3/3  [A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...   \n",
       "58  cube_3/3/3  [A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...   \n",
       "59  cube_3/3/3  [A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...   \n",
       "60  cube_3/3/3  [A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...   \n",
       "61  cube_3/3/3  [A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...   \n",
       "62  cube_3/3/3  [A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...   \n",
       "63  cube_3/3/3  [A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...   \n",
       "64  cube_3/3/3  [A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...   \n",
       "65  cube_3/3/3  [A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...   \n",
       "66  cube_3/3/3  [A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...   \n",
       "67  cube_3/3/3  [A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...   \n",
       "68  cube_3/3/3  [A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...   \n",
       "69  cube_3/3/3  [A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...   \n",
       "70  cube_3/3/3  [A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...   \n",
       "71  cube_3/3/3  [A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...   \n",
       "72  cube_3/3/3  [A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...   \n",
       "73  cube_3/3/3  [A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...   \n",
       "74  cube_3/3/3  [A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...   \n",
       "75  cube_3/3/3  [A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...   \n",
       "76  cube_3/3/3  [A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...   \n",
       "77  cube_3/3/3  [A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...   \n",
       "78  cube_3/3/3  [A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...   \n",
       "79  cube_3/3/3  [A, A, A, A, A, A, A, A, A, B, B, B, B, B, B, ...   \n",
       "\n",
       "                                        initial_state  num_wildcards  \\\n",
       "id                                                                     \n",
       "30  [A, A, E, C, F, F, C, C, C, D, B, D, D, B, A, ...              0   \n",
       "31  [C, B, E, B, A, B, A, F, F, E, D, D, F, E, A, ...              6   \n",
       "32  [F, B, B, E, E, D, B, E, E, F, A, D, C, D, A, ...              0   \n",
       "33  [C, A, F, D, F, A, B, F, D, F, B, A, C, B, B, ...              6   \n",
       "34  [B, C, F, F, D, D, C, A, B, A, B, A, E, A, F, ...              0   \n",
       "35  [D, C, C, E, D, E, B, B, B, E, C, C, F, C, F, ...              0   \n",
       "36  [B, C, D, A, D, A, A, E, A, B, B, B, F, A, E, ...              0   \n",
       "37  [B, D, D, A, F, D, D, C, A, E, D, C, A, B, B, ...              0   \n",
       "38  [F, C, B, F, A, D, A, D, F, D, E, B, F, E, D, ...              6   \n",
       "39  [D, D, A, E, D, F, D, A, F, C, D, B, A, F, A, ...              0   \n",
       "40  [E, E, B, E, E, A, C, F, B, D, C, C, E, B, B, ...              4   \n",
       "41  [B, B, A, F, E, A, B, F, C, E, D, F, E, F, D, ...              0   \n",
       "42  [F, B, A, C, B, D, B, F, E, A, E, D, F, F, C, ...              0   \n",
       "43  [A, C, D, C, E, F, C, C, E, B, F, F, B, B, B, ...              0   \n",
       "44  [C, D, C, F, C, D, C, E, B, A, A, E, E, F, B, ...              0   \n",
       "45  [F, F, D, D, D, C, E, D, B, A, C, C, E, C, E, ...              0   \n",
       "46  [B, B, F, B, B, C, E, F, C, B, E, D, F, C, C, ...              0   \n",
       "47  [B, A, B, E, C, B, C, B, F, D, F, E, F, F, C, ...              0   \n",
       "48  [E, F, F, A, D, F, D, A, A, E, E, B, E, F, A, ...              0   \n",
       "49  [C, B, E, C, D, E, F, A, B, E, C, C, B, E, A, ...              0   \n",
       "50  [A, A, F, D, C, B, C, F, D, F, E, F, B, F, B, ...              0   \n",
       "51  [D, D, C, F, E, B, B, F, B, A, C, E, C, F, E, ...              0   \n",
       "52  [E, E, A, F, F, E, C, C, F, F, B, E, D, D, E, ...              0   \n",
       "53  [E, B, B, D, D, D, A, F, F, C, C, C, A, E, B, ...              0   \n",
       "54  [C, A, B, F, C, B, D, D, E, C, C, A, F, B, D, ...              0   \n",
       "55  [E, A, D, E, F, B, E, F, A, F, E, B, D, B, F, ...              0   \n",
       "56  [C, E, C, F, A, A, D, D, B, C, C, A, E, C, C, ...              0   \n",
       "57  [B, D, A, A, D, C, B, C, F, C, A, D, A, F, B, ...              0   \n",
       "58  [B, C, E, C, D, A, C, E, B, A, D, E, B, A, B, ...              0   \n",
       "59  [D, D, C, B, D, F, B, C, F, C, A, D, D, C, C, ...              0   \n",
       "60  [F, A, F, F, E, D, D, E, C, A, B, A, D, F, B, ...              0   \n",
       "61  [B, E, B, B, E, C, D, B, F, A, E, D, D, F, F, ...              0   \n",
       "62  [C, F, E, D, A, E, C, F, E, B, E, F, B, B, F, ...              0   \n",
       "63  [A, C, F, F, A, D, C, F, D, B, E, E, A, E, D, ...              0   \n",
       "64  [E, B, B, A, A, B, E, F, F, F, C, B, F, E, A, ...              2   \n",
       "65  [A, F, C, F, B, B, F, D, D, E, A, C, D, E, A, ...              4   \n",
       "66  [F, A, E, B, F, F, D, D, A, A, C, B, E, B, C, ...              0   \n",
       "67  [C, F, D, F, D, D, C, D, D, B, E, F, C, A, F, ...              0   \n",
       "68  [B, E, B, B, D, F, B, A, F, C, C, D, D, F, D, ...              0   \n",
       "69  [F, A, A, E, B, D, A, B, E, E, F, D, A, C, B, ...              0   \n",
       "70  [F, B, E, D, A, F, C, A, B, F, E, E, E, E, A, ...              0   \n",
       "71  [B, C, C, F, E, F, B, E, C, C, B, A, E, B, F, ...              0   \n",
       "72  [C, B, A, B, C, A, C, D, B, A, C, A, E, D, D, ...              0   \n",
       "73  [A, A, F, D, D, D, A, D, B, E, E, F, E, C, C, ...              4   \n",
       "74  [E, D, C, A, A, C, F, C, D, D, F, A, B, B, B, ...              0   \n",
       "75  [C, C, C, A, C, C, D, E, E, A, A, B, B, F, E, ...              0   \n",
       "76  [C, D, A, D, B, F, B, D, C, E, E, A, B, E, B, ...              2   \n",
       "77  [D, C, F, F, D, E, E, A, B, D, D, C, E, F, D, ...              0   \n",
       "78  [B, C, A, E, B, C, B, B, C, E, A, A, B, E, A, ...              0   \n",
       "79  [C, C, D, D, A, E, E, A, C, B, C, B, C, B, B, ...              0   \n",
       "\n",
       "    total_components all_unique_components  unique_components  solved  \\\n",
       "id                                                                      \n",
       "30                54    [A, B, C, D, E, F]                  6   False   \n",
       "31                54    [A, B, C, D, E, F]                  6    True   \n",
       "32                54    [A, B, C, D, E, F]                  6    True   \n",
       "33                54    [A, B, C, D, E, F]                  6    True   \n",
       "34                54    [A, B, C, D, E, F]                  6   False   \n",
       "35                54    [A, B, C, D, E, F]                  6   False   \n",
       "36                54    [A, B, C, D, E, F]                  6   False   \n",
       "37                54    [A, B, C, D, E, F]                  6   False   \n",
       "38                54    [A, B, C, D, E, F]                  6    True   \n",
       "39                54    [A, B, C, D, E, F]                  6   False   \n",
       "40                54    [A, B, C, D, E, F]                  6    True   \n",
       "41                54    [A, B, C, D, E, F]                  6   False   \n",
       "42                54    [A, B, C, D, E, F]                  6   False   \n",
       "43                54    [A, B, C, D, E, F]                  6   False   \n",
       "44                54    [A, B, C, D, E, F]                  6   False   \n",
       "45                54    [A, B, C, D, E, F]                  6   False   \n",
       "46                54    [A, B, C, D, E, F]                  6   False   \n",
       "47                54    [A, B, C, D, E, F]                  6   False   \n",
       "48                54    [A, B, C, D, E, F]                  6   False   \n",
       "49                54    [A, B, C, D, E, F]                  6   False   \n",
       "50                54    [A, B, C, D, E, F]                  6   False   \n",
       "51                54    [A, B, C, D, E, F]                  6   False   \n",
       "52                54    [A, B, C, D, E, F]                  6   False   \n",
       "53                54    [A, B, C, D, E, F]                  6   False   \n",
       "54                54    [A, B, C, D, E, F]                  6   False   \n",
       "55                54    [A, B, C, D, E, F]                  6   False   \n",
       "56                54    [A, B, C, D, E, F]                  6   False   \n",
       "57                54    [A, B, C, D, E, F]                  6   False   \n",
       "58                54    [A, B, C, D, E, F]                  6   False   \n",
       "59                54    [A, B, C, D, E, F]                  6   False   \n",
       "60                54    [A, B, C, D, E, F]                  6   False   \n",
       "61                54    [A, B, C, D, E, F]                  6   False   \n",
       "62                54    [A, B, C, D, E, F]                  6   False   \n",
       "63                54    [A, B, C, D, E, F]                  6   False   \n",
       "64                54    [A, B, C, D, E, F]                  6   False   \n",
       "65                54    [A, B, C, D, E, F]                  6    True   \n",
       "66                54    [A, B, C, D, E, F]                  6   False   \n",
       "67                54    [A, B, C, D, E, F]                  6   False   \n",
       "68                54    [A, B, C, D, E, F]                  6   False   \n",
       "69                54    [A, B, C, D, E, F]                  6   False   \n",
       "70                54    [A, B, C, D, E, F]                  6   False   \n",
       "71                54    [A, B, C, D, E, F]                  6   False   \n",
       "72                54    [A, B, C, D, E, F]                  6   False   \n",
       "73                54    [A, B, C, D, E, F]                  6   False   \n",
       "74                54    [A, B, C, D, E, F]                  6   False   \n",
       "75                54    [A, B, C, D, E, F]                  6   False   \n",
       "76                54    [A, B, C, D, E, F]                  6   False   \n",
       "77                54    [A, B, C, D, E, F]                  6   False   \n",
       "78                54    [A, B, C, D, E, F]                  6   False   \n",
       "79                54    [A, B, C, D, E, F]                  6   False   \n",
       "\n",
       "                                        solution_path node_count time_to_solve  \n",
       "id                                                                              \n",
       "30                                               None   10096147     180.00022  \n",
       "31  [f2, -d1, -r0, -r1, -d2, r1, f0, -d0, f0, -d0,...     516453      7.543039  \n",
       "32  [r1, -r2, d1, r0, d2, r1, r2, -f0, -r2, d0, -f...    3215769     53.388252  \n",
       "33  [-r2, -r2, -f2, d2, d2, r1, f2, f2, -f1, r0, d...     353010      5.174142  \n",
       "34                                               None   10117032    181.462675  \n",
       "35                                               None   10578545    180.000743  \n",
       "36                                               None   10586160    184.765062  \n",
       "37                                               None   10537406     180.00053  \n",
       "38  [r2, -d1, r2, f2, -r2, -d0, -f0, -f0, -d0, -r2...    3941917     65.563192  \n",
       "39                                               None   10135011    180.000864  \n",
       "40  [-f1, -r0, -f0, -f2, r0, d2, f2, -d0, -d2, -f0...    3359677     56.307013  \n",
       "41                                               None   10362893    180.000704  \n",
       "42                                               None   10372566    180.000741  \n",
       "43                                               None   10162291    180.000085  \n",
       "44                                               None   10624047    180.000083  \n",
       "45                                               None   10395091    185.430278  \n",
       "46                                               None   10566208    180.000437  \n",
       "47                                               None   10344193    180.000413  \n",
       "48                                               None   10587280    180.000477  \n",
       "49                                               None   10527223    180.000352  \n",
       "50                                               None   10306952    180.000225  \n",
       "51                                               None   10087796    180.000204  \n",
       "52                                               None   10560304    180.000044  \n",
       "53                                               None   10314230    180.000777  \n",
       "54                                               None   10292793    180.000665  \n",
       "55                                               None   10467065    180.000126  \n",
       "56                                               None   10462802    183.949872  \n",
       "57                                               None   10543182    180.000348  \n",
       "58                                               None   10574151    180.000974  \n",
       "59                                               None   10437205    180.000969  \n",
       "60                                               None   10412324    180.000217  \n",
       "61                                               None   10189065    180.000686  \n",
       "62                                               None   10392651     180.00035  \n",
       "63                                               None   10109436    180.000061  \n",
       "64                                               None   10607462    180.000329  \n",
       "65  [-f2, -f0, f1, d0, -d1, f0, d0, d2, r0, f1, -d...    4036989     70.067578  \n",
       "66                                               None   10379663    185.720054  \n",
       "67                                               None   10567805    180.000354  \n",
       "68                                               None   10326765    181.590657  \n",
       "69                                               None   10444501    180.000904  \n",
       "70                                               None   10566036    185.847492  \n",
       "71                                               None   10586138    180.000957  \n",
       "72                                               None   10584443    180.000288  \n",
       "73                                               None   10511029     180.00046  \n",
       "74                                               None   10442894     180.00068  \n",
       "75                                               None   10610647    180.000417  \n",
       "76                                               None   10413939    180.000592  \n",
       "77                                               None   10389572    180.000996  \n",
       "78                                               None   10307738    180.000863  \n",
       "79                                               None   10507480    180.000764  "
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# examine results from puzzels_all with puzzle_type == cube_3/3/3\n",
    "puzzles_all[puzzles_all['puzzle_type'] == 'cube_3/3/3'].head(50)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "puzzle type: wreath_6/6\n",
      "solution length: 339\n",
      "puzzle type: wreath_6/6\n",
      "solution length: 335\n",
      "puzzle type: wreath_6/6\n",
      "solution length: 484\n",
      "puzzle type: wreath_6/6\n",
      "solution length: 482\n",
      "puzzle type: wreath_6/6\n",
      "solution length: 489\n",
      "puzzle type: wreath_6/6\n",
      "solution length: 351\n",
      "puzzle type: wreath_6/6\n",
      "solution length: 356\n",
      "puzzle type: wreath_6/6\n",
      "solution length: 380\n",
      "puzzle type: wreath_6/6\n",
      "solution length: 378\n",
      "puzzle type: wreath_6/6\n",
      "solution length: 322\n",
      "puzzle type: wreath_6/6\n",
      "solution length: 341\n",
      "puzzle type: wreath_6/6\n",
      "solution length: 486\n",
      "puzzle type: wreath_6/6\n",
      "solution length: 319\n",
      "puzzle type: wreath_6/6\n",
      "solution length: 452\n",
      "puzzle type: wreath_6/6\n",
      "solution length: 393\n",
      "puzzle type: wreath_6/6\n",
      "solution length: 398\n",
      "puzzle type: wreath_6/6\n",
      "solution length: 327\n",
      "puzzle type: wreath_6/6\n",
      "solution length: 397\n",
      "puzzle type: wreath_6/6\n",
      "solution length: 447\n",
      "puzzle type: wreath_6/6\n",
      "solution length: 412\n",
      "puzzle type: wreath_7/7\n",
      "solution length: 422\n",
      "puzzle type: wreath_7/7\n",
      "solution length: 441\n",
      "puzzle type: wreath_7/7\n",
      "solution length: 428\n",
      "puzzle type: wreath_7/7\n",
      "solution length: 409\n",
      "puzzle type: wreath_7/7\n",
      "solution length: 470\n",
      "puzzle type: wreath_7/7\n",
      "solution length: 408\n",
      "puzzle type: wreath_7/7\n",
      "solution length: 421\n",
      "puzzle type: wreath_7/7\n",
      "solution length: 706\n",
      "puzzle type: wreath_7/7\n",
      "solution length: 556\n",
      "puzzle type: wreath_7/7\n",
      "solution length: 453\n",
      "puzzle type: wreath_7/7\n",
      "solution length: 752\n",
      "puzzle type: wreath_7/7\n",
      "solution length: 508\n",
      "puzzle type: wreath_7/7\n",
      "solution length: 501\n",
      "puzzle type: wreath_7/7\n",
      "solution length: 406\n",
      "puzzle type: wreath_7/7\n",
      "solution length: 607\n",
      "puzzle type: wreath_12/12\n",
      "solution length: 2586\n",
      "puzzle type: wreath_12/12\n",
      "solution length: 2003\n",
      "puzzle type: wreath_12/12\n",
      "solution length: 2388\n",
      "puzzle type: wreath_12/12\n",
      "solution length: 2061\n",
      "puzzle type: wreath_12/12\n",
      "solution length: 2309\n",
      "puzzle type: wreath_12/12\n",
      "solution length: 2271\n",
      "puzzle type: wreath_12/12\n",
      "solution length: 2246\n",
      "puzzle type: wreath_12/12\n",
      "solution length: 2104\n",
      "puzzle type: wreath_12/12\n",
      "solution length: 2047\n",
      "puzzle type: wreath_12/12\n",
      "solution length: 2093\n",
      "puzzle type: wreath_21/21\n",
      "solution length: 5179\n"
     ]
    }
   ],
   "source": [
    "for i in range(284, 330):\n",
    "    print(f\"puzzle type: {puzzles_all.iloc[i]['puzzle_type']}\")\n",
    "    print(f\"solution length: {ss.iloc[i]['move_count']}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "puzzle_type              object\n",
       "solution_state           object\n",
       "initial_state            object\n",
       "num_wildcards             int64\n",
       "total_components          int64\n",
       "all_unique_components    object\n",
       "unique_components         int64\n",
       "solved                     bool\n",
       "solution_path            object\n",
       "node_count               object\n",
       "time_to_solve            object\n",
       "dtype: object"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "puzzles_all.dtypes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "# save puzzles_all to json\n",
    "puzzles_all.to_json(data_dir / 'puzzles_all.json', orient='index')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "# save puzzles_all to pipe delimited csv\n",
    "puzzles_all.to_csv(data_dir / 'puzzles_all.csv', sep='|')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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  "kernelspec": {
   "display_name": "2023_12_KagglePolytopePerm",
   "language": "python",
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  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
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   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.5"
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