simons-problem.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "231def4f",
   "metadata": {},
   "source": [
    "# Simon's Problem\n",
    "\n",
    "***"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "f6746f07",
   "metadata": {},
   "outputs": [],
   "source": [
    "import itertools as it"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "239246ef",
   "metadata": {},
   "outputs": [],
   "source": [
    "n = 3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "089d9a10",
   "metadata": {},
   "outputs": [],
   "source": [
    "words = lambda: it.product([0, 1], repeat=n)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "eb3194e5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[(0, 0, 0),\n",
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       " (0, 1, 1),\n",
       " (1, 0, 0),\n",
       " (1, 0, 1),\n",
       " (1, 1, 0),\n",
       " (1, 1, 1)]"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "list(words())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "63de35a0",
   "metadata": {},
   "outputs": [],
   "source": [
    "guesses = lambda: it.permutations(words())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "07277b8c",
   "metadata": {},
   "outputs": [
    {
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       "  (1, 1, 0)),\n",
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       "  (0, 1, 1)),\n",
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       "  (1, 1, 1)),\n",
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       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
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       "  (1, 1, 1),\n",
       "  (1, 0, 0)),\n",
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       "  (0, 1, 0),\n",
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       "  (1, 1, 0),\n",
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       "  (1, 1, 1)),\n",
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       "  (0, 1, 1)),\n",
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       "  (1, 0, 0)),\n",
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       "  (1, 1, 0),\n",
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       "  (1, 0, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
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       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 1, 0),\n",
       "  (0, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 0, 0),\n",
       "  (0, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 1, 1),\n",
       "  (0, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 0)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (1, 0, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (0, 0, 1),\n",
       "  (1, 1, 1)),\n",
       " ((0, 0, 0),\n",
       "  (0, 1, 0),\n",
       "  (1, 0, 0),\n",
       "  (0, 1, 1),\n",
       "  (1, 1, 0),\n",
       "  (1, 0, 1),\n",
       "  (1, 1, 1),\n",
       "  (0, 0, 1)),\n",
       " ...]"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "list(guesses())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "be18243c",
   "metadata": {},
   "outputs": [],
   "source": [
    "funcs = lambda: it.combinations(words(), 4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "3e46b67e",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[((0, 0, 0), (0, 0, 1), (0, 1, 0), (0, 1, 1)),\n",
       " ((0, 0, 0), (0, 0, 1), (0, 1, 0), (1, 0, 0)),\n",
       " ((0, 0, 0), (0, 0, 1), (0, 1, 0), (1, 0, 1)),\n",
       " ((0, 0, 0), (0, 0, 1), (0, 1, 0), (1, 1, 0)),\n",
       " ((0, 0, 0), (0, 0, 1), (0, 1, 0), (1, 1, 1)),\n",
       " ((0, 0, 0), (0, 0, 1), (0, 1, 1), (1, 0, 0)),\n",
       " ((0, 0, 0), (0, 0, 1), (0, 1, 1), (1, 0, 1)),\n",
       " ((0, 0, 0), (0, 0, 1), (0, 1, 1), (1, 1, 0)),\n",
       " ((0, 0, 0), (0, 0, 1), (0, 1, 1), (1, 1, 1)),\n",
       " ((0, 0, 0), (0, 0, 1), (1, 0, 0), (1, 0, 1)),\n",
       " ((0, 0, 0), (0, 0, 1), (1, 0, 0), (1, 1, 0)),\n",
       " ((0, 0, 0), (0, 0, 1), (1, 0, 0), (1, 1, 1)),\n",
       " ((0, 0, 0), (0, 0, 1), (1, 0, 1), (1, 1, 0)),\n",
       " ((0, 0, 0), (0, 0, 1), (1, 0, 1), (1, 1, 1)),\n",
       " ((0, 0, 0), (0, 0, 1), (1, 1, 0), (1, 1, 1)),\n",
       " ((0, 0, 0), (0, 1, 0), (0, 1, 1), (1, 0, 0)),\n",
       " ((0, 0, 0), (0, 1, 0), (0, 1, 1), (1, 0, 1)),\n",
       " ((0, 0, 0), (0, 1, 0), (0, 1, 1), (1, 1, 0)),\n",
       " ((0, 0, 0), (0, 1, 0), (0, 1, 1), (1, 1, 1)),\n",
       " ((0, 0, 0), (0, 1, 0), (1, 0, 0), (1, 0, 1)),\n",
       " ((0, 0, 0), (0, 1, 0), (1, 0, 0), (1, 1, 0)),\n",
       " ((0, 0, 0), (0, 1, 0), (1, 0, 0), (1, 1, 1)),\n",
       " ((0, 0, 0), (0, 1, 0), (1, 0, 1), (1, 1, 0)),\n",
       " ((0, 0, 0), (0, 1, 0), (1, 0, 1), (1, 1, 1)),\n",
       " ((0, 0, 0), (0, 1, 0), (1, 1, 0), (1, 1, 1)),\n",
       " ((0, 0, 0), (0, 1, 1), (1, 0, 0), (1, 0, 1)),\n",
       " ((0, 0, 0), (0, 1, 1), (1, 0, 0), (1, 1, 0)),\n",
       " ((0, 0, 0), (0, 1, 1), (1, 0, 0), (1, 1, 1)),\n",
       " ((0, 0, 0), (0, 1, 1), (1, 0, 1), (1, 1, 0)),\n",
       " ((0, 0, 0), (0, 1, 1), (1, 0, 1), (1, 1, 1)),\n",
       " ((0, 0, 0), (0, 1, 1), (1, 1, 0), (1, 1, 1)),\n",
       " ((0, 0, 0), (1, 0, 0), (1, 0, 1), (1, 1, 0)),\n",
       " ((0, 0, 0), (1, 0, 0), (1, 0, 1), (1, 1, 1)),\n",
       " ((0, 0, 0), (1, 0, 0), (1, 1, 0), (1, 1, 1)),\n",
       " ((0, 0, 0), (1, 0, 1), (1, 1, 0), (1, 1, 1)),\n",
       " ((0, 0, 1), (0, 1, 0), (0, 1, 1), (1, 0, 0)),\n",
       " ((0, 0, 1), (0, 1, 0), (0, 1, 1), (1, 0, 1)),\n",
       " ((0, 0, 1), (0, 1, 0), (0, 1, 1), (1, 1, 0)),\n",
       " ((0, 0, 1), (0, 1, 0), (0, 1, 1), (1, 1, 1)),\n",
       " ((0, 0, 1), (0, 1, 0), (1, 0, 0), (1, 0, 1)),\n",
       " ((0, 0, 1), (0, 1, 0), (1, 0, 0), (1, 1, 0)),\n",
       " ((0, 0, 1), (0, 1, 0), (1, 0, 0), (1, 1, 1)),\n",
       " ((0, 0, 1), (0, 1, 0), (1, 0, 1), (1, 1, 0)),\n",
       " ((0, 0, 1), (0, 1, 0), (1, 0, 1), (1, 1, 1)),\n",
       " ((0, 0, 1), (0, 1, 0), (1, 1, 0), (1, 1, 1)),\n",
       " ((0, 0, 1), (0, 1, 1), (1, 0, 0), (1, 0, 1)),\n",
       " ((0, 0, 1), (0, 1, 1), (1, 0, 0), (1, 1, 0)),\n",
       " ((0, 0, 1), (0, 1, 1), (1, 0, 0), (1, 1, 1)),\n",
       " ((0, 0, 1), (0, 1, 1), (1, 0, 1), (1, 1, 0)),\n",
       " ((0, 0, 1), (0, 1, 1), (1, 0, 1), (1, 1, 1)),\n",
       " ((0, 0, 1), (0, 1, 1), (1, 1, 0), (1, 1, 1)),\n",
       " ((0, 0, 1), (1, 0, 0), (1, 0, 1), (1, 1, 0)),\n",
       " ((0, 0, 1), (1, 0, 0), (1, 0, 1), (1, 1, 1)),\n",
       " ((0, 0, 1), (1, 0, 0), (1, 1, 0), (1, 1, 1)),\n",
       " ((0, 0, 1), (1, 0, 1), (1, 1, 0), (1, 1, 1)),\n",
       " ((0, 1, 0), (0, 1, 1), (1, 0, 0), (1, 0, 1)),\n",
       " ((0, 1, 0), (0, 1, 1), (1, 0, 0), (1, 1, 0)),\n",
       " ((0, 1, 0), (0, 1, 1), (1, 0, 0), (1, 1, 1)),\n",
       " ((0, 1, 0), (0, 1, 1), (1, 0, 1), (1, 1, 0)),\n",
       " ((0, 1, 0), (0, 1, 1), (1, 0, 1), (1, 1, 1)),\n",
       " ((0, 1, 0), (0, 1, 1), (1, 1, 0), (1, 1, 1)),\n",
       " ((0, 1, 0), (1, 0, 0), (1, 0, 1), (1, 1, 0)),\n",
       " ((0, 1, 0), (1, 0, 0), (1, 0, 1), (1, 1, 1)),\n",
       " ((0, 1, 0), (1, 0, 0), (1, 1, 0), (1, 1, 1)),\n",
       " ((0, 1, 0), (1, 0, 1), (1, 1, 0), (1, 1, 1)),\n",
       " ((0, 1, 1), (1, 0, 0), (1, 0, 1), (1, 1, 0)),\n",
       " ((0, 1, 1), (1, 0, 0), (1, 0, 1), (1, 1, 1)),\n",
       " ((0, 1, 1), (1, 0, 0), (1, 1, 0), (1, 1, 1)),\n",
       " ((0, 1, 1), (1, 0, 1), (1, 1, 0), (1, 1, 1)),\n",
       " ((1, 0, 0), (1, 0, 1), (1, 1, 0), (1, 1, 1))]"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "list(funcs())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "fa7520d0",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "66637842",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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