QUEENS.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "from z3 import *\n",
    "import argparse\n",
    "import itertools\n",
    "import time"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "n=4\n",
    "q=[]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[[q_0_0, q_0_1, q_0_2, q_0_3],\n",
       " [q_1_0, q_1_1, q_1_2, q_1_3],\n",
       " [q_2_0, q_2_1, q_2_2, q_2_3],\n",
       " [q_3_0, q_3_1, q_3_2, q_3_3]]"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "q = [ [Bool (\"q_{}_{}\".format(i,j)) for j in range(n)] for i in range(n)]\n",
    "q"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "def sum_to_one( ls ):\n",
    "    a=Or(ls)\n",
    "    c=[]\n",
    "    for i in range(len(ls)):\n",
    "        for j in range(i+1,len(ls)):\n",
    "            c.append(Or(Not(ls[i]),Not(ls[j])))\n",
    "    c=And(c)\n",
    "    return And(c,a)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "# def atmost_one( ls ):\n",
    "#     c=[]\n",
    "#     for i in range(len(ls)):\n",
    "#         for j in range(i+1,len(ls)):\n",
    "#             c.append(Or(Not(ls[i]),Not(ls[j])))\n",
    "#     c=And(c)\n",
    "#     return c"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "Fs=[]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "for i in range(n):\n",
    "    ls = []\n",
    "    for j in range(n):        \n",
    "        ls.append( q[i][j] )\n",
    "    #Fs.append( sum_to_one( ls ) )\n",
    "    Fs.append( AtMost( *ls,1 ) )\n",
    "    Fs.append( AtLeast( *ls,1 ) )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "for j in range(n):\n",
    "    ls = []\n",
    "    for i in range(n):        \n",
    "        ls.append( q[i][j] )\n",
    "    Fs.append( AtMost( *ls,1 ) )\n",
    "    Fs.append( AtLeast( *ls,1 ) )\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "for i1 in range(n):\n",
    "    for j1 in range(n):\n",
    "        for i2 in range(n):\n",
    "             for j2 in range(n):\n",
    "                    if (abs(j2-j1)==abs(i2-i1) and i1!=i2 and j1!=j2):\n",
    "                        Fs.append(Or(Not(q[i1][j1]),Not(q[i2][j2])))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "abs(-3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "_ _ 1 _ \n",
      "\n",
      "1 _ _ _ \n",
      "\n",
      "_ _ _ 1 \n",
      "\n",
      "_ 1 _ _ \n",
      "\n"
     ]
    }
   ],
   "source": [
    "s=Solver()\n",
    "s.add( And( Fs ) )\n",
    "if s.check() == sat:\n",
    "    m = s.model()\n",
    "    for i in range(n):\n",
    "       # if i % 3 == 0 :\n",
    "        #    print(\"|-------|-------|-------|\")\n",
    "        for j in range(n):\n",
    "            #if j % 3 == 0 :\n",
    "            #    print (\"|\", end =\" \")\n",
    "            ## Check for each number, if the Bool value is True, then Print that number\n",
    "            #for k in range(9):\n",
    "                val = m[q[i][j]]\n",
    "                if is_true( val ):\n",
    "                    print(\"1\", end =\" \")\n",
    "                else:\n",
    "                    print(\"_\", end=\" \")\n",
    "        print(\"\\n\")\n",
    "        #print(\"|\")\n",
    "    #print(\"|-------|-------|-------|\")\n",
    "else:\n",
    "    print(\"queens is unsat\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [],
   "source": [
    "s=Solver()\n",
    "s.add( And( Fs ) )\n",
    "if s.check() == sat:\n",
    "    m = s.model()\n",
    "    print(m)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[And(And(Or(Not(q_0_0), Not(q_0_1)),\n",
       "         Or(Not(q_0_0), Not(q_0_2)),\n",
       "         Or(Not(q_0_0), Not(q_0_3)),\n",
       "         Or(Not(q_0_1), Not(q_0_2)),\n",
       "         Or(Not(q_0_1), Not(q_0_3)),\n",
       "         Or(Not(q_0_2), Not(q_0_3))),\n",
       "     Or(q_0_0, q_0_1, q_0_2, q_0_3)), And(And(Or(Not(q_1_0), Not(q_1_1)),\n",
       "         Or(Not(q_1_0), Not(q_1_2)),\n",
       "         Or(Not(q_1_0), Not(q_1_3)),\n",
       "         Or(Not(q_1_1), Not(q_1_2)),\n",
       "         Or(Not(q_1_1), Not(q_1_3)),\n",
       "         Or(Not(q_1_2), Not(q_1_3))),\n",
       "     Or(q_1_0, q_1_1, q_1_2, q_1_3)), And(And(Or(Not(q_2_0), Not(q_2_1)),\n",
       "         Or(Not(q_2_0), Not(q_2_2)),\n",
       "         Or(Not(q_2_0), Not(q_2_3)),\n",
       "         Or(Not(q_2_1), Not(q_2_2)),\n",
       "         Or(Not(q_2_1), Not(q_2_3)),\n",
       "         Or(Not(q_2_2), Not(q_2_3))),\n",
       "     Or(q_2_0, q_2_1, q_2_2, q_2_3)), And(And(Or(Not(q_3_0), Not(q_3_1)),\n",
       "         Or(Not(q_3_0), Not(q_3_2)),\n",
       "         Or(Not(q_3_0), Not(q_3_3)),\n",
       "         Or(Not(q_3_1), Not(q_3_2)),\n",
       "         Or(Not(q_3_1), Not(q_3_3)),\n",
       "         Or(Not(q_3_2), Not(q_3_3))),\n",
       "     Or(q_3_0, q_3_1, q_3_2, q_3_3)), And(And(Or(Not(q_0_0), Not(q_1_0)),\n",
       "         Or(Not(q_0_0), Not(q_2_0)),\n",
       "         Or(Not(q_0_0), Not(q_3_0)),\n",
       "         Or(Not(q_1_0), Not(q_2_0)),\n",
       "         Or(Not(q_1_0), Not(q_3_0)),\n",
       "         Or(Not(q_2_0), Not(q_3_0))),\n",
       "     Or(q_0_0, q_1_0, q_2_0, q_3_0)), And(And(Or(Not(q_0_1), Not(q_1_1)),\n",
       "         Or(Not(q_0_1), Not(q_2_1)),\n",
       "         Or(Not(q_0_1), Not(q_3_1)),\n",
       "         Or(Not(q_1_1), Not(q_2_1)),\n",
       "         Or(Not(q_1_1), Not(q_3_1)),\n",
       "         Or(Not(q_2_1), Not(q_3_1))),\n",
       "     Or(q_0_1, q_1_1, q_2_1, q_3_1)), And(And(Or(Not(q_0_2), Not(q_1_2)),\n",
       "         Or(Not(q_0_2), Not(q_2_2)),\n",
       "         Or(Not(q_0_2), Not(q_3_2)),\n",
       "         Or(Not(q_1_2), Not(q_2_2)),\n",
       "         Or(Not(q_1_2), Not(q_3_2)),\n",
       "         Or(Not(q_2_2), Not(q_3_2))),\n",
       "     Or(q_0_2, q_1_2, q_2_2, q_3_2)), And(And(Or(Not(q_0_3), Not(q_1_3)),\n",
       "         Or(Not(q_0_3), Not(q_2_3)),\n",
       "         Or(Not(q_0_3), Not(q_3_3)),\n",
       "         Or(Not(q_1_3), Not(q_2_3)),\n",
       "         Or(Not(q_1_3), Not(q_3_3)),\n",
       "         Or(Not(q_2_3), Not(q_3_3))),\n",
       "     Or(q_0_3, q_1_3, q_2_3, q_3_3)), Or(Not(q_0_0), Not(q_1_1)), Or(Not(q_0_0), Not(q_2_2)), Or(Not(q_0_0), Not(q_3_3)), Or(Not(q_0_1), Not(q_1_0)), Or(Not(q_0_1), Not(q_1_2)), Or(Not(q_0_1), Not(q_2_3)), Or(Not(q_0_2), Not(q_1_1)), Or(Not(q_0_2), Not(q_1_3)), Or(Not(q_0_2), Not(q_2_0)), Or(Not(q_0_3), Not(q_1_2)), Or(Not(q_0_3), Not(q_2_1)), Or(Not(q_0_3), Not(q_3_0)), Or(Not(q_1_0), Not(q_0_1)), Or(Not(q_1_0), Not(q_2_1)), Or(Not(q_1_0), Not(q_3_2)), Or(Not(q_1_1), Not(q_0_0)), Or(Not(q_1_1), Not(q_0_2)), Or(Not(q_1_1), Not(q_2_0)), Or(Not(q_1_1), Not(q_2_2)), Or(Not(q_1_1), Not(q_3_3)), Or(Not(q_1_2), Not(q_0_1)), Or(Not(q_1_2), Not(q_0_3)), Or(Not(q_1_2), Not(q_2_1)), Or(Not(q_1_2), Not(q_2_3)), Or(Not(q_1_2), Not(q_3_0)), Or(Not(q_1_3), Not(q_0_2)), Or(Not(q_1_3), Not(q_2_2)), Or(Not(q_1_3), Not(q_3_1)), Or(Not(q_2_0), Not(q_0_2)), Or(Not(q_2_0), Not(q_1_1)), Or(Not(q_2_0), Not(q_3_1)), Or(Not(q_2_1), Not(q_0_3)), Or(Not(q_2_1), Not(q_1_0)), Or(Not(q_2_1), Not(q_1_2)), Or(Not(q_2_1), Not(q_3_0)), Or(Not(q_2_1), Not(q_3_2)), Or(Not(q_2_2), Not(q_0_0)), Or(Not(q_2_2), Not(q_1_1)), Or(Not(q_2_2), Not(q_1_3)), Or(Not(q_2_2), Not(q_3_1)), Or(Not(q_2_2), Not(q_3_3)), Or(Not(q_2_3), Not(q_0_1)), Or(Not(q_2_3), Not(q_1_2)), Or(Not(q_2_3), Not(q_3_2)), Or(Not(q_3_0), Not(q_0_3)), Or(Not(q_3_0), Not(q_1_2)), Or(Not(q_3_0), Not(q_2_1)), Or(Not(q_3_1), Not(q_1_3)), Or(Not(q_3_1), Not(q_2_0)), Or(Not(q_3_1), Not(q_2_2)), Or(Not(q_3_2), Not(q_1_0)), Or(Not(q_3_2), Not(q_2_1)), Or(Not(q_3_2), Not(q_2_3)), Or(Not(q_3_3), Not(q_0_0)), Or(Not(q_3_3), Not(q_1_1)), Or(Not(q_3_3), Not(q_2_2))]"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Fs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "ename": "AttributeError",
     "evalue": "'str' object has no attribute 'ref'",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mAttributeError\u001b[0m                            Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-59-3980c20cd12e>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mp\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mFloat64\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'x'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      2\u001b[0m \u001b[0my\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mInt\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'y'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda3/lib/python3.7/site-packages/z3/z3.py\u001b[0m in \u001b[0;36mFloat64\u001b[0;34m(ctx)\u001b[0m\n\u001b[1;32m   8750\u001b[0m     \u001b[0;34m\"\"\"Floating-point 64-bit (double) sort.\"\"\"\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   8751\u001b[0m     \u001b[0mctx\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0m_get_ctx\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mctx\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 8752\u001b[0;31m     \u001b[0;32mreturn\u001b[0m \u001b[0mFPSortRef\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mZ3_mk_fpa_sort_64\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mctx\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mref\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mctx\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m   8753\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   8754\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mFloatDouble\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mctx\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mNone\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;31mAttributeError\u001b[0m: 'str' object has no attribute 'ref'"
     ]
    }
   ],
   "source": [
    "p=Float64('x')\n",
    "y=Int('y')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "ename": "Z3Exception",
     "evalue": "Symbolic expressions cannot be cast to concrete Boolean values.",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mZ3Exception\u001b[0m                               Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-55-19d744d9482e>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0msolve\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m+\u001b[0m\u001b[0my\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0my\u001b[0m\u001b[0;34m<=\u001b[0m\u001b[0;36m1\u001b[0m \u001b[0;32mand\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0my\u001b[0m\u001b[0;34m>=\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[0;32m~/anaconda3/lib/python3.7/site-packages/z3/z3.py\u001b[0m in \u001b[0;36m__bool__\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m    341\u001b[0m            \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0marg\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0meq\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0marg\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    342\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 343\u001b[0;31m             \u001b[0;32mraise\u001b[0m \u001b[0mZ3Exception\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Symbolic expressions cannot be cast to concrete Boolean values.\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    344\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    345\u001b[0m     \u001b[0;32mdef\u001b[0m \u001b[0msexpr\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;31mZ3Exception\u001b[0m: Symbolic expressions cannot be cast to concrete Boolean values."
     ]
    }
   ],
   "source": [
    "solve(x*x+y*y<=1 and x*y>=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [
    {
     "ename": "Z3Exception",
     "evalue": "b'Sort mismatch at argument #1 for function (declare-fun and (Bool Bool) Bool) supplied sort is Int'",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mZ3Exception\u001b[0m                               Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-65-a63186c4b824>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m      4\u001b[0m \u001b[0ml\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mappend\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      5\u001b[0m \u001b[0ml\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mappend\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mSum\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0my\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m<=\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 6\u001b[0;31m \u001b[0mAnd\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ml\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[0;32m~/anaconda3/lib/python3.7/site-packages/z3/z3.py\u001b[0m in \u001b[0;36mAnd\u001b[0;34m(*args)\u001b[0m\n\u001b[1;32m   1709\u001b[0m         \u001b[0margs\u001b[0m  \u001b[0;34m=\u001b[0m \u001b[0m_coerce_expr_list\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mctx\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   1710\u001b[0m         \u001b[0m_args\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0msz\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0m_to_ast_array\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1711\u001b[0;31m         \u001b[0;32mreturn\u001b[0m \u001b[0mBoolRef\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mZ3_mk_and\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mctx\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mref\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0msz\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0m_args\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mctx\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m   1712\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   1713\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mOr\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda3/lib/python3.7/site-packages/z3/z3core.py\u001b[0m in \u001b[0;36mZ3_mk_and\u001b[0;34m(a0, a1, a2, _elems)\u001b[0m\n\u001b[1;32m   1697\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mZ3_mk_and\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ma0\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ma1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ma2\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0m_elems\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mElementaries\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0m_lib\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mZ3_mk_and\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   1698\u001b[0m   \u001b[0mr\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0m_elems\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mf\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ma0\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ma1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ma2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1699\u001b[0;31m   \u001b[0m_elems\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mCheck\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ma0\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m   1700\u001b[0m   \u001b[0;32mreturn\u001b[0m \u001b[0mr\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   1701\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda3/lib/python3.7/site-packages/z3/z3core.py\u001b[0m in \u001b[0;36mCheck\u001b[0;34m(self, ctx)\u001b[0m\n\u001b[1;32m   1379\u001b[0m     \u001b[0merr\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_error_code\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mctx\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   1380\u001b[0m     \u001b[0;32mif\u001b[0m \u001b[0merr\u001b[0m \u001b[0;34m!=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mOK\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1381\u001b[0;31m         \u001b[0;32mraise\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mException\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_error_message\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mctx\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0merr\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m   1382\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   1383\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mZ3_set_error_handler\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mctx\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mhndlr\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0m_elems\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mElementaries\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0m_lib\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mZ3_set_error_handler\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;31mZ3Exception\u001b[0m: b'Sort mismatch at argument #1 for function (declare-fun and (Bool Bool) Bool) supplied sort is Int'"
     ]
    }
   ],
   "source": [
    "x=Int('y')\n",
    "y=Int('x')\n",
    "l=[]\n",
    "l.append(x)\n",
    "l.append(Sum([x,y])<=2)\n",
    "And(l)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['x', 'y', 'z']\n"
     ]
    }
   ],
   "source": [
    "def clause2list(expr):\n",
    "    if z3.is_const(expr):\n",
    "        return [str(expr)]\n",
    "    elif z3.is_or(expr):\n",
    "        return [atom for disjunct in expr.children()\n",
    "                     for atom in clause2list(disjunct)]\n",
    "    else:\n",
    "        assert False, ('not supported', expr)\n",
    "\n",
    "x, y, z = z3.Bools('x y z')\n",
    "print(clause2list(z3.Or(x, y, z)))\n",
    "#['x', 'y', 'z']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[x = 0, y = 0]\n"
     ]
    }
   ],
   "source": [
    "x=Int('x')\n",
    "y=Int('y')\n",
    "solve(Sum([x,y])<=2,0<=x,x<=1,0<=y,y<=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {},
   "outputs": [
    {
     "ename": "TypeError",
     "evalue": "unsupported operand type(s) for +: 'int' and 'BoolRef'",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mTypeError\u001b[0m                                 Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-89-f429e1d5a67e>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m      1\u001b[0m \u001b[0ms\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mSolver\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0ms\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0madd\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msum\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0my\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m==\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[0;31mTypeError\u001b[0m: unsupported operand type(s) for +: 'int' and 'BoolRef'"
     ]
    }
   ],
   "source": [
    "s=Solver()\n",
    "s.add(sum([x,y])==2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[And(And(Or(Not(q_0_0), Not(q_0_1)),\n",
       "         Or(Not(q_0_0), Not(q_0_2)),\n",
       "         Or(Not(q_0_1), Not(q_0_2))),\n",
       "     Or(q_0_0, q_0_1, q_0_2)), And(And(Or(Not(q_1_0), Not(q_1_1)),\n",
       "         Or(Not(q_1_0), Not(q_1_2)),\n",
       "         Or(Not(q_1_1), Not(q_1_2))),\n",
       "     Or(q_1_0, q_1_1, q_1_2)), And(And(Or(Not(q_2_0), Not(q_2_1)),\n",
       "         Or(Not(q_2_0), Not(q_2_2)),\n",
       "         Or(Not(q_2_1), Not(q_2_2))),\n",
       "     Or(q_2_0, q_2_1, q_2_2)), And(And(Or(Not(q_0_0), Not(q_1_0)),\n",
       "         Or(Not(q_0_0), Not(q_2_0)),\n",
       "         Or(Not(q_1_0), Not(q_2_0))),\n",
       "     Or(q_0_0, q_1_0, q_2_0)), And(And(Or(Not(q_0_1), Not(q_1_1)),\n",
       "         Or(Not(q_0_1), Not(q_2_1)),\n",
       "         Or(Not(q_1_1), Not(q_2_1))),\n",
       "     Or(q_0_1, q_1_1, q_2_1)), And(And(Or(Not(q_0_2), Not(q_1_2)),\n",
       "         Or(Not(q_0_2), Not(q_2_2)),\n",
       "         Or(Not(q_1_2), Not(q_2_2))),\n",
       "     Or(q_0_2, q_1_2, q_2_2)), Or(Not(q_0_0), Not(q_1_1)), Or(Not(q_0_0), Not(q_2_2)), Or(Not(q_0_1), Not(q_1_0)), Or(Not(q_0_1), Not(q_1_2)), Or(Not(q_0_2), Not(q_1_1)), Or(Not(q_0_2), Not(q_2_0)), Or(Not(q_1_0), Not(q_0_1)), Or(Not(q_1_0), Not(q_2_1)), Or(Not(q_1_1), Not(q_0_0)), Or(Not(q_1_1), Not(q_0_2)), Or(Not(q_1_1), Not(q_2_0)), Or(Not(q_1_1), Not(q_2_2)), Or(Not(q_1_2), Not(q_0_1)), Or(Not(q_1_2), Not(q_2_1)), Or(Not(q_2_0), Not(q_0_2)), Or(Not(q_2_0), Not(q_1_1)), Or(Not(q_2_1), Not(q_1_0)), Or(Not(q_2_1), Not(q_1_2)), Or(Not(q_2_2), Not(q_0_0)), Or(Not(q_2_2), Not(q_1_1))]"
      ]
     },
     "execution_count": 93,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Fs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "metadata": {},
   "outputs": [
    {
     "ename": "AssertionError",
     "evalue": "('not supported', [And(And(Or(Not(q_0_0), Not(q_0_1)),\n        Or(Not(q_0_0), Not(q_0_2)),\n        Or(Not(q_0_1), Not(q_0_2))),\n    Or(q_0_0, q_0_1, q_0_2)), And(And(Or(Not(q_1_0), Not(q_1_1)),\n        Or(Not(q_1_0), Not(q_1_2)),\n        Or(Not(q_1_1), Not(q_1_2))),\n    Or(q_1_0, q_1_1, q_1_2)), And(And(Or(Not(q_2_0), Not(q_2_1)),\n        Or(Not(q_2_0), Not(q_2_2)),\n        Or(Not(q_2_1), Not(q_2_2))),\n    Or(q_2_0, q_2_1, q_2_2)), And(And(Or(Not(q_0_0), Not(q_1_0)),\n        Or(Not(q_0_0), Not(q_2_0)),\n        Or(Not(q_1_0), Not(q_2_0))),\n    Or(q_0_0, q_1_0, q_2_0)), And(And(Or(Not(q_0_1), Not(q_1_1)),\n        Or(Not(q_0_1), Not(q_2_1)),\n        Or(Not(q_1_1), Not(q_2_1))),\n    Or(q_0_1, q_1_1, q_2_1)), And(And(Or(Not(q_0_2), Not(q_1_2)),\n        Or(Not(q_0_2), Not(q_2_2)),\n        Or(Not(q_1_2), Not(q_2_2))),\n    Or(q_0_2, q_1_2, q_2_2)), Or(Not(q_0_0), Not(q_1_1)), Or(Not(q_0_0), Not(q_2_2)), Or(Not(q_0_1), Not(q_1_0)), Or(Not(q_0_1), Not(q_1_2)), Or(Not(q_0_2), Not(q_1_1)), Or(Not(q_0_2), Not(q_2_0)), Or(Not(q_1_0), Not(q_0_1)), Or(Not(q_1_0), Not(q_2_1)), Or(Not(q_1_1), Not(q_0_0)), Or(Not(q_1_1), Not(q_0_2)), Or(Not(q_1_1), Not(q_2_0)), Or(Not(q_1_1), Not(q_2_2)), Or(Not(q_1_2), Not(q_0_1)), Or(Not(q_1_2), Not(q_2_1)), Or(Not(q_2_0), Not(q_0_2)), Or(Not(q_2_0), Not(q_1_1)), Or(Not(q_2_1), Not(q_1_0)), Or(Not(q_2_1), Not(q_1_2)), Or(Not(q_2_2), Not(q_0_0)), Or(Not(q_2_2), Not(q_1_1))])",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mAssertionError\u001b[0m                            Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-94-02d9225fc563>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mclause2list\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mFs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[0;32m<ipython-input-40-eaa4f5bf3d67>\u001b[0m in \u001b[0;36mclause2list\u001b[0;34m(expr)\u001b[0m\n\u001b[1;32m      6\u001b[0m                      for atom in clause2list(disjunct)]\n\u001b[1;32m      7\u001b[0m     \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 8\u001b[0;31m         \u001b[0;32massert\u001b[0m \u001b[0;32mFalse\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0;34m'not supported'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mexpr\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      9\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     10\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0my\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mz\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mz3\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mBools\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'x y z'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;31mAssertionError\u001b[0m: ('not supported', [And(And(Or(Not(q_0_0), Not(q_0_1)),\n        Or(Not(q_0_0), Not(q_0_2)),\n        Or(Not(q_0_1), Not(q_0_2))),\n    Or(q_0_0, q_0_1, q_0_2)), And(And(Or(Not(q_1_0), Not(q_1_1)),\n        Or(Not(q_1_0), Not(q_1_2)),\n        Or(Not(q_1_1), Not(q_1_2))),\n    Or(q_1_0, q_1_1, q_1_2)), And(And(Or(Not(q_2_0), Not(q_2_1)),\n        Or(Not(q_2_0), Not(q_2_2)),\n        Or(Not(q_2_1), Not(q_2_2))),\n    Or(q_2_0, q_2_1, q_2_2)), And(And(Or(Not(q_0_0), Not(q_1_0)),\n        Or(Not(q_0_0), Not(q_2_0)),\n        Or(Not(q_1_0), Not(q_2_0))),\n    Or(q_0_0, q_1_0, q_2_0)), And(And(Or(Not(q_0_1), Not(q_1_1)),\n        Or(Not(q_0_1), Not(q_2_1)),\n        Or(Not(q_1_1), Not(q_2_1))),\n    Or(q_0_1, q_1_1, q_2_1)), And(And(Or(Not(q_0_2), Not(q_1_2)),\n        Or(Not(q_0_2), Not(q_2_2)),\n        Or(Not(q_1_2), Not(q_2_2))),\n    Or(q_0_2, q_1_2, q_2_2)), Or(Not(q_0_0), Not(q_1_1)), Or(Not(q_0_0), Not(q_2_2)), Or(Not(q_0_1), Not(q_1_0)), Or(Not(q_0_1), Not(q_1_2)), Or(Not(q_0_2), Not(q_1_1)), Or(Not(q_0_2), Not(q_2_0)), Or(Not(q_1_0), Not(q_0_1)), Or(Not(q_1_0), Not(q_2_1)), Or(Not(q_1_1), Not(q_0_0)), Or(Not(q_1_1), Not(q_0_2)), Or(Not(q_1_1), Not(q_2_0)), Or(Not(q_1_1), Not(q_2_2)), Or(Not(q_1_2), Not(q_0_1)), Or(Not(q_1_2), Not(q_2_1)), Or(Not(q_2_0), Not(q_0_2)), Or(Not(q_2_0), Not(q_1_1)), Or(Not(q_2_1), Not(q_1_0)), Or(Not(q_2_1), Not(q_1_2)), Or(Not(q_2_2), Not(q_0_0)), Or(Not(q_2_2), Not(q_1_1))])"
     ]
    }
   ],
   "source": [
    "clause2list(Fs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "def clause2list(expr):\n",
    "    if z3.is_const(expr):\n",
    "        return [str(expr)]\n",
    "    elif z3.is_or(expr):\n",
    "        return [atom for disjunct in expr.children()\n",
    "                     for atom in clause2list(disjunct)]\n",
    "    else:\n",
    "        assert False, ('not supported', expr)\n",
    "\n",
    "x, y, z = z3.Bools('x y z')\n",
    "print(clause2list(z3.Or(x, y, z)))\n",
    "#['x', 'y', 'z']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "metadata": {},
   "outputs": [],
   "source": [
    "di={}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[x = 2, y = 3]\n"
     ]
    }
   ],
   "source": [
    "solve([y == x + 1, ForAll([y], Implies(y <= 0, x > y))])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 110,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[f = [else -> 0]]\n"
     ]
    }
   ],
   "source": [
    "solve(Exists([x, y], f(x, y) >= x, skid=\"foo\"))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 119,
   "metadata": {},
   "outputs": [],
   "source": [
    "f = Function('f', IntSort(), IntSort(), BoolSort())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 124,
   "metadata": {},
   "outputs": [],
   "source": [
    "s=Solver()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 129,
   "metadata": {},
   "outputs": [],
   "source": [
    "x=Int('x')\n",
    "y=Int('y')\n",
    "s.add(ForAll([x],Not (f(x,x))))\n",
    "s.add(Exists([x,y],f(x,y)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 130,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<b>sat</b>"
      ],
      "text/plain": [
       "sat"
      ]
     },
     "execution_count": 130,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s.check()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 131,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "[f = [else &rarr; &not;(&#957;<sub>0</sub> = 1) &and; &#957;<sub>1</sub> = 1]]"
      ],
      "text/plain": [
       "[f = [else -> And(Not(Var(0) == 1), Var(1) == 1)]]"
      ]
     },
     "execution_count": 131,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s.model()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "ename": "AttributeError",
     "evalue": "'list' object has no attribute 'decl'",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mAttributeError\u001b[0m                            Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-19-ab852ec29e1b>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mFs\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdecl\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[0;31mAttributeError\u001b[0m: 'list' object has no attribute 'decl'"
     ]
    }
   ],
   "source": [
    "Fs.decl()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[And(And(Or(Not(q_0_0), Not(q_0_1)),\n",
       "         Or(Not(q_0_0), Not(q_0_2)),\n",
       "         Or(Not(q_0_0), Not(q_0_3)),\n",
       "         Or(Not(q_0_0), Not(q_0_4)),\n",
       "         Or(Not(q_0_0), Not(q_0_5)),\n",
       "         Or(Not(q_0_0), Not(q_0_6)),\n",
       "         Or(Not(q_0_0), Not(q_0_7)),\n",
       "         Or(Not(q_0_0), Not(q_0_8)),\n",
       "         Or(Not(q_0_0), Not(q_0_9)),\n",
       "         Or(Not(q_0_0), Not(q_0_10)),\n",
       "         Or(Not(q_0_0), Not(q_0_11)),\n",
       "         Or(Not(q_0_0), Not(q_0_12)),\n",
       "         Or(Not(q_0_0), Not(q_0_13)),\n",
       "         Or(Not(q_0_0), Not(q_0_14)),\n",
       "         Or(Not(q_0_1), Not(q_0_2)),\n",
       "         Or(Not(q_0_1), Not(q_0_3)),\n",
       "         Or(Not(q_0_1), Not(q_0_4)),\n",
       "         Or(Not(q_0_1), Not(q_0_5)),\n",
       "         Or(Not(q_0_1), Not(q_0_6)),\n",
       "         Or(Not(q_0_1), Not(q_0_7)),\n",
       "         Or(Not(q_0_1), Not(q_0_8)),\n",
       "         Or(Not(q_0_1), Not(q_0_9)),\n",
       "         Or(Not(q_0_1), Not(q_0_10)),\n",
       "         Or(Not(q_0_1), Not(q_0_11)),\n",
       "         Or(Not(q_0_1), Not(q_0_12)),\n",
       "         Or(Not(q_0_1), Not(q_0_13)),\n",
       "         Or(Not(q_0_1), Not(q_0_14)),\n",
       "         Or(Not(q_0_2), Not(q_0_3)),\n",
       "         Or(Not(q_0_2), Not(q_0_4)),\n",
       "         Or(Not(q_0_2), Not(q_0_5)),\n",
       "         Or(Not(q_0_2), Not(q_0_6)),\n",
       "         Or(Not(q_0_2), Not(q_0_7)),\n",
       "         Or(Not(q_0_2), Not(q_0_8)),\n",
       "         Or(Not(q_0_2), Not(q_0_9)),\n",
       "         Or(Not(q_0_2), Not(q_0_10)),\n",
       "         Or(Not(q_0_2), Not(q_0_11)),\n",
       "         Or(Not(q_0_2), Not(q_0_12)),\n",
       "         Or(Not(q_0_2), Not(q_0_13)),\n",
       "         Or(Not(q_0_2), Not(q_0_14)),\n",
       "         Or(Not(q_0_3), Not(q_0_4)),\n",
       "         Or(Not(q_0_3), Not(q_0_5)),\n",
       "         Or(Not(q_0_3), Not(q_0_6)),\n",
       "         Or(Not(q_0_3), Not(q_0_7)),\n",
       "         Or(Not(q_0_3), Not(q_0_8)),\n",
       "         Or(Not(q_0_3), Not(q_0_9)),\n",
       "         Or(Not(q_0_3), Not(q_0_10)),\n",
       "         Or(Not(q_0_3), Not(q_0_11)),\n",
       "         Or(Not(q_0_3), Not(q_0_12)),\n",
       "         Or(Not(q_0_3), Not(q_0_13)),\n",
       "         Or(Not(q_0_3), Not(q_0_14)),\n",
       "         Or(Not(q_0_4), Not(q_0_5)),\n",
       "         Or(Not(q_0_4), Not(q_0_6)),\n",
       "         Or(Not(q_0_4), Not(q_0_7)),\n",
       "         Or(Not(q_0_4), Not(q_0_8)),\n",
       "         Or(Not(q_0_4), Not(q_0_9)),\n",
       "         Or(Not(q_0_4), Not(q_0_10)),\n",
       "         Or(Not(q_0_4), Not(q_0_11)),\n",
       "         Or(Not(q_0_4), Not(q_0_12)),\n",
       "         Or(Not(q_0_4), Not(q_0_13)),\n",
       "         Or(Not(q_0_4), Not(q_0_14)),\n",
       "         Or(Not(q_0_5), Not(q_0_6)),\n",
       "         Or(Not(q_0_5), Not(q_0_7)),\n",
       "         Or(Not(q_0_5), Not(q_0_8)),\n",
       "         Or(Not(q_0_5), Not(q_0_9)),\n",
       "         Or(Not(q_0_5), Not(q_0_10)),\n",
       "         Or(Not(q_0_5), Not(q_0_11)),\n",
       "         Or(Not(q_0_5), Not(q_0_12)),\n",
       "         Or(Not(q_0_5), Not(q_0_13)),\n",
       "         Or(Not(q_0_5), Not(q_0_14)),\n",
       "         Or(Not(q_0_6), Not(q_0_7)),\n",
       "         Or(Not(q_0_6), Not(q_0_8)),\n",
       "         Or(Not(q_0_6), Not(q_0_9)),\n",
       "         Or(Not(q_0_6), Not(q_0_10)),\n",
       "         Or(Not(q_0_6), Not(q_0_11)),\n",
       "         Or(Not(q_0_6), Not(q_0_12)),\n",
       "         Or(Not(q_0_6), Not(q_0_13)),\n",
       "         Or(Not(q_0_6), Not(q_0_14)),\n",
       "         Or(Not(q_0_7), Not(q_0_8)),\n",
       "         Or(Not(q_0_7), Not(q_0_9)),\n",
       "         Or(Not(q_0_7), Not(q_0_10)),\n",
       "         Or(Not(q_0_7), Not(q_0_11)),\n",
       "         Or(Not(q_0_7), Not(q_0_12)),\n",
       "         Or(Not(q_0_7), Not(q_0_13)),\n",
       "         Or(Not(q_0_7), Not(q_0_14)),\n",
       "         Or(Not(q_0_8), Not(q_0_9)),\n",
       "         Or(Not(q_0_8), Not(q_0_10)),\n",
       "         Or(Not(q_0_8), Not(q_0_11)),\n",
       "         Or(Not(q_0_8), Not(q_0_12)),\n",
       "         Or(Not(q_0_8), Not(q_0_13)),\n",
       "         Or(Not(q_0_8), Not(q_0_14)),\n",
       "         Or(Not(q_0_9), Not(q_0_10)),\n",
       "         Or(Not(q_0_9), Not(q_0_11)),\n",
       "         Or(Not(q_0_9), Not(q_0_12)),\n",
       "         Or(Not(q_0_9), Not(q_0_13)),\n",
       "         Or(Not(q_0_9), Not(q_0_14)),\n",
       "         Or(Not(q_0_10), Not(q_0_11)),\n",
       "         Or(Not(q_0_10), Not(q_0_12)),\n",
       "         Or(Not(q_0_10), Not(q_0_13)),\n",
       "         Or(Not(q_0_10), Not(q_0_14)),\n",
       "         Or(Not(q_0_11), Not(q_0_12)),\n",
       "         Or(Not(q_0_11), Not(q_0_13)),\n",
       "         Or(Not(q_0_11), Not(q_0_14)),\n",
       "         Or(Not(q_0_12), Not(q_0_13)),\n",
       "         Or(Not(q_0_12), Not(q_0_14)),\n",
       "         Or(Not(q_0_13), Not(q_0_14))),\n",
       "     Or(q_0_0,\n",
       "        q_0_1,\n",
       "        q_0_2,\n",
       "        q_0_3,\n",
       "        q_0_4,\n",
       "        q_0_5,\n",
       "        q_0_6,\n",
       "        q_0_7,\n",
       "        q_0_8,\n",
       "        q_0_9,\n",
       "        q_0_10,\n",
       "        q_0_11,\n",
       "        q_0_12,\n",
       "        q_0_13,\n",
       "        q_0_14)), And(And(Or(Not(q_1_0), Not(q_1_1)),\n",
       "         Or(Not(q_1_0), Not(q_1_2)),\n",
       "         Or(Not(q_1_0), Not(q_1_3)),\n",
       "         Or(Not(q_1_0), Not(q_1_4)),\n",
       "         Or(Not(q_1_0), Not(q_1_5)),\n",
       "         Or(Not(q_1_0), Not(q_1_6)),\n",
       "         Or(Not(q_1_0), Not(q_1_7)),\n",
       "         Or(Not(q_1_0), Not(q_1_8)),\n",
       "         Or(Not(q_1_0), Not(q_1_9)),\n",
       "         Or(Not(q_1_0), Not(q_1_10)),\n",
       "         Or(Not(q_1_0), Not(q_1_11)),\n",
       "         Or(Not(q_1_0), Not(q_1_12)),\n",
       "         Or(Not(q_1_0), Not(q_1_13)),\n",
       "         Or(Not(q_1_0), Not(q_1_14)),\n",
       "         Or(Not(q_1_1), Not(q_1_2)),\n",
       "         Or(Not(q_1_1), Not(q_1_3)),\n",
       "         Or(Not(q_1_1), Not(q_1_4)),\n",
       "         Or(Not(q_1_1), Not(q_1_5)),\n",
       "         Or(Not(q_1_1), Not(q_1_6)),\n",
       "         Or(Not(q_1_1), Not(q_1_7)),\n",
       "         Or(Not(q_1_1), Not(q_1_8)),\n",
       "         Or(Not(q_1_1), Not(q_1_9)),\n",
       "         Or(Not(q_1_1), Not(q_1_10)),\n",
       "         Or(Not(q_1_1), Not(q_1_11)),\n",
       "         Or(Not(q_1_1), Not(q_1_12)),\n",
       "         Or(Not(q_1_1), Not(q_1_13)),\n",
       "         Or(Not(q_1_1), Not(q_1_14)),\n",
       "         Or(Not(q_1_2), Not(q_1_3)),\n",
       "         Or(Not(q_1_2), Not(q_1_4)),\n",
       "         Or(Not(q_1_2), Not(q_1_5)),\n",
       "         Or(Not(q_1_2), Not(q_1_6)),\n",
       "         Or(Not(q_1_2), Not(q_1_7)),\n",
       "         Or(Not(q_1_2), Not(q_1_8)),\n",
       "         Or(Not(q_1_2), Not(q_1_9)),\n",
       "         Or(Not(q_1_2), Not(q_1_10)),\n",
       "         Or(Not(q_1_2), Not(q_1_11)),\n",
       "         Or(Not(q_1_2), Not(q_1_12)),\n",
       "         Or(Not(q_1_2), Not(q_1_13)),\n",
       "         Or(Not(q_1_2), Not(q_1_14)),\n",
       "         Or(Not(q_1_3), Not(q_1_4)),\n",
       "         Or(Not(q_1_3), Not(q_1_5)),\n",
       "         Or(Not(q_1_3), Not(q_1_6)),\n",
       "         Or(Not(q_1_3), Not(q_1_7)),\n",
       "         Or(Not(q_1_3), Not(q_1_8)),\n",
       "         Or(Not(q_1_3), Not(q_1_9)),\n",
       "         Or(Not(q_1_3), Not(q_1_10)),\n",
       "         Or(Not(q_1_3), Not(q_1_11)),\n",
       "         Or(Not(q_1_3), Not(q_1_12)),\n",
       "         Or(Not(q_1_3), Not(q_1_13)),\n",
       "         Or(Not(q_1_3), Not(q_1_14)),\n",
       "         Or(Not(q_1_4), Not(q_1_5)),\n",
       "         Or(Not(q_1_4), Not(q_1_6)),\n",
       "         Or(Not(q_1_4), Not(q_1_7)),\n",
       "         Or(Not(q_1_4), Not(q_1_8)),\n",
       "         Or(Not(q_1_4), Not(q_1_9)),\n",
       "         Or(Not(q_1_4), Not(q_1_10)),\n",
       "         Or(Not(q_1_4), Not(q_1_11)),\n",
       "         Or(Not(q_1_4), Not(q_1_12)),\n",
       "         Or(Not(q_1_4), Not(q_1_13)),\n",
       "         Or(Not(q_1_4), Not(q_1_14)),\n",
       "         Or(Not(q_1_5), Not(q_1_6)),\n",
       "         Or(Not(q_1_5), Not(q_1_7)),\n",
       "         Or(Not(q_1_5), Not(q_1_8)),\n",
       "         Or(Not(q_1_5), Not(q_1_9)),\n",
       "         Or(Not(q_1_5), Not(q_1_10)),\n",
       "         Or(Not(q_1_5), Not(q_1_11)),\n",
       "         Or(Not(q_1_5), Not(q_1_12)),\n",
       "         Or(Not(q_1_5), Not(q_1_13)),\n",
       "         Or(Not(q_1_5), Not(q_1_14)),\n",
       "         Or(Not(q_1_6), Not(q_1_7)),\n",
       "         Or(Not(q_1_6), Not(q_1_8)),\n",
       "         Or(Not(q_1_6), Not(q_1_9)),\n",
       "         Or(Not(q_1_6), Not(q_1_10)),\n",
       "         Or(Not(q_1_6), Not(q_1_11)),\n",
       "         Or(Not(q_1_6), Not(q_1_12)),\n",
       "         Or(Not(q_1_6), Not(q_1_13)),\n",
       "         Or(Not(q_1_6), Not(q_1_14)),\n",
       "         Or(Not(q_1_7), Not(q_1_8)),\n",
       "         Or(Not(q_1_7), Not(q_1_9)),\n",
       "         Or(Not(q_1_7), Not(q_1_10)),\n",
       "         Or(Not(q_1_7), Not(q_1_11)),\n",
       "         Or(Not(q_1_7), Not(q_1_12)),\n",
       "         Or(Not(q_1_7), Not(q_1_13)),\n",
       "         Or(Not(q_1_7), Not(q_1_14)),\n",
       "         Or(Not(q_1_8), Not(q_1_9)),\n",
       "         Or(Not(q_1_8), Not(q_1_10)),\n",
       "         Or(Not(q_1_8), Not(q_1_11)),\n",
       "         Or(Not(q_1_8), Not(q_1_12)),\n",
       "         Or(Not(q_1_8), Not(q_1_13)),\n",
       "         Or(Not(q_1_8), Not(q_1_14)),\n",
       "         Or(Not(q_1_9), Not(q_1_10)),\n",
       "         Or(Not(q_1_9), Not(q_1_11)),\n",
       "         Or(Not(q_1_9), Not(q_1_12)),\n",
       "         Or(Not(q_1_9), Not(q_1_13)),\n",
       "         Or(Not(q_1_9), Not(q_1_14)),\n",
       "         Or(Not(q_1_10), Not(q_1_11)),\n",
       "         Or(Not(q_1_10), Not(q_1_12)),\n",
       "         Or(Not(q_1_10), Not(q_1_13)),\n",
       "         Or(Not(q_1_10), Not(q_1_14)),\n",
       "         Or(Not(q_1_11), Not(q_1_12)),\n",
       "         Or(Not(q_1_11), Not(q_1_13)),\n",
       "         Or(Not(q_1_11), Not(q_1_14)),\n",
       "         Or(Not(q_1_12), Not(q_1_13)),\n",
       "         Or(Not(q_1_12), Not(q_1_14)),\n",
       "         Or(Not(q_1_13), Not(q_1_14))),\n",
       "     Or(q_1_0,\n",
       "        q_1_1,\n",
       "        q_1_2,\n",
       "        q_1_3,\n",
       "        q_1_4,\n",
       "        q_1_5,\n",
       "        q_1_6,\n",
       "        q_1_7,\n",
       "        q_1_8,\n",
       "        q_1_9,\n",
       "        q_1_10,\n",
       "        q_1_11,\n",
       "        q_1_12,\n",
       "        q_1_13,\n",
       "        q_1_14)), And(And(Or(Not(q_2_0), Not(q_2_1)),\n",
       "         Or(Not(q_2_0), Not(q_2_2)),\n",
       "         Or(Not(q_2_0), Not(q_2_3)),\n",
       "         Or(Not(q_2_0), Not(q_2_4)),\n",
       "         Or(Not(q_2_0), Not(q_2_5)),\n",
       "         Or(Not(q_2_0), Not(q_2_6)),\n",
       "         Or(Not(q_2_0), Not(q_2_7)),\n",
       "         Or(Not(q_2_0), Not(q_2_8)),\n",
       "         Or(Not(q_2_0), Not(q_2_9)),\n",
       "         Or(Not(q_2_0), Not(q_2_10)),\n",
       "         Or(Not(q_2_0), Not(q_2_11)),\n",
       "         Or(Not(q_2_0), Not(q_2_12)),\n",
       "         Or(Not(q_2_0), Not(q_2_13)),\n",
       "         Or(Not(q_2_0), Not(q_2_14)),\n",
       "         Or(Not(q_2_1), Not(q_2_2)),\n",
       "         Or(Not(q_2_1), Not(q_2_3)),\n",
       "         Or(Not(q_2_1), Not(q_2_4)),\n",
       "         Or(Not(q_2_1), Not(q_2_5)),\n",
       "         Or(Not(q_2_1), Not(q_2_6)),\n",
       "         Or(Not(q_2_1), Not(q_2_7)),\n",
       "         Or(Not(q_2_1), Not(q_2_8)),\n",
       "         Or(Not(q_2_1), Not(q_2_9)),\n",
       "         Or(Not(q_2_1), Not(q_2_10)),\n",
       "         Or(Not(q_2_1), Not(q_2_11)),\n",
       "         Or(Not(q_2_1), Not(q_2_12)),\n",
       "         Or(Not(q_2_1), Not(q_2_13)),\n",
       "         Or(Not(q_2_1), Not(q_2_14)),\n",
       "         Or(Not(q_2_2), Not(q_2_3)),\n",
       "         Or(Not(q_2_2), Not(q_2_4)),\n",
       "         Or(Not(q_2_2), Not(q_2_5)),\n",
       "         Or(Not(q_2_2), Not(q_2_6)),\n",
       "         Or(Not(q_2_2), Not(q_2_7)),\n",
       "         Or(Not(q_2_2), Not(q_2_8)),\n",
       "         Or(Not(q_2_2), Not(q_2_9)),\n",
       "         Or(Not(q_2_2), Not(q_2_10)),\n",
       "         Or(Not(q_2_2), Not(q_2_11)),\n",
       "         Or(Not(q_2_2), Not(q_2_12)),\n",
       "         Or(Not(q_2_2), Not(q_2_13)),\n",
       "         Or(Not(q_2_2), Not(q_2_14)),\n",
       "         Or(Not(q_2_3), Not(q_2_4)),\n",
       "         Or(Not(q_2_3), Not(q_2_5)),\n",
       "         Or(Not(q_2_3), Not(q_2_6)),\n",
       "         Or(Not(q_2_3), Not(q_2_7)),\n",
       "         Or(Not(q_2_3), Not(q_2_8)),\n",
       "         Or(Not(q_2_3), Not(q_2_9)),\n",
       "         Or(Not(q_2_3), Not(q_2_10)),\n",
       "         Or(Not(q_2_3), Not(q_2_11)),\n",
       "         Or(Not(q_2_3), Not(q_2_12)),\n",
       "         Or(Not(q_2_3), Not(q_2_13)),\n",
       "         Or(Not(q_2_3), Not(q_2_14)),\n",
       "         Or(Not(q_2_4), Not(q_2_5)),\n",
       "         Or(Not(q_2_4), Not(q_2_6)),\n",
       "         Or(Not(q_2_4), Not(q_2_7)),\n",
       "         Or(Not(q_2_4), Not(q_2_8)),\n",
       "         Or(Not(q_2_4), Not(q_2_9)),\n",
       "         Or(Not(q_2_4), Not(q_2_10)),\n",
       "         Or(Not(q_2_4), Not(q_2_11)),\n",
       "         Or(Not(q_2_4), Not(q_2_12)),\n",
       "         Or(Not(q_2_4), Not(q_2_13)),\n",
       "         Or(Not(q_2_4), Not(q_2_14)),\n",
       "         Or(Not(q_2_5), Not(q_2_6)),\n",
       "         Or(Not(q_2_5), Not(q_2_7)),\n",
       "         Or(Not(q_2_5), Not(q_2_8)),\n",
       "         Or(Not(q_2_5), Not(q_2_9)),\n",
       "         Or(Not(q_2_5), Not(q_2_10)),\n",
       "         Or(Not(q_2_5), Not(q_2_11)),\n",
       "         Or(Not(q_2_5), Not(q_2_12)),\n",
       "         Or(Not(q_2_5), Not(q_2_13)),\n",
       "         Or(Not(q_2_5), Not(q_2_14)),\n",
       "         Or(Not(q_2_6), Not(q_2_7)),\n",
       "         Or(Not(q_2_6), Not(q_2_8)),\n",
       "         Or(Not(q_2_6), Not(q_2_9)),\n",
       "         Or(Not(q_2_6), Not(q_2_10)),\n",
       "         Or(Not(q_2_6), Not(q_2_11)),\n",
       "         Or(Not(q_2_6), Not(q_2_12)),\n",
       "         Or(Not(q_2_6), Not(q_2_13)),\n",
       "         Or(Not(q_2_6), Not(q_2_14)),\n",
       "         Or(Not(q_2_7), Not(q_2_8)),\n",
       "         Or(Not(q_2_7), Not(q_2_9)),\n",
       "         Or(Not(q_2_7), Not(q_2_10)),\n",
       "         Or(Not(q_2_7), Not(q_2_11)),\n",
       "         Or(Not(q_2_7), Not(q_2_12)),\n",
       "         Or(Not(q_2_7), Not(q_2_13)),\n",
       "         Or(Not(q_2_7), Not(q_2_14)),\n",
       "         Or(Not(q_2_8), Not(q_2_9)),\n",
       "         Or(Not(q_2_8), Not(q_2_10)),\n",
       "         Or(Not(q_2_8), Not(q_2_11)),\n",
       "         Or(Not(q_2_8), Not(q_2_12)),\n",
       "         Or(Not(q_2_8), Not(q_2_13)),\n",
       "         Or(Not(q_2_8), Not(q_2_14)),\n",
       "         Or(Not(q_2_9), Not(q_2_10)),\n",
       "         Or(Not(q_2_9), Not(q_2_11)),\n",
       "         Or(Not(q_2_9), Not(q_2_12)),\n",
       "         Or(Not(q_2_9), Not(q_2_13)),\n",
       "         Or(Not(q_2_9), Not(q_2_14)),\n",
       "         Or(Not(q_2_10), Not(q_2_11)),\n",
       "         Or(Not(q_2_10), Not(q_2_12)),\n",
       "         Or(Not(q_2_10), Not(q_2_13)),\n",
       "         Or(Not(q_2_10), Not(q_2_14)),\n",
       "         Or(Not(q_2_11), Not(q_2_12)),\n",
       "         Or(Not(q_2_11), Not(q_2_13)),\n",
       "         Or(Not(q_2_11), Not(q_2_14)),\n",
       "         Or(Not(q_2_12), Not(q_2_13)),\n",
       "         Or(Not(q_2_12), Not(q_2_14)),\n",
       "         Or(Not(q_2_13), Not(q_2_14))),\n",
       "     Or(q_2_0,\n",
       "        q_2_1,\n",
       "        q_2_2,\n",
       "        q_2_3,\n",
       "        q_2_4,\n",
       "        q_2_5,\n",
       "        q_2_6,\n",
       "        q_2_7,\n",
       "        q_2_8,\n",
       "        q_2_9,\n",
       "        q_2_10,\n",
       "        q_2_11,\n",
       "        q_2_12,\n",
       "        q_2_13,\n",
       "        q_2_14)), And(And(Or(Not(q_3_0), Not(q_3_1)),\n",
       "         Or(Not(q_3_0), Not(q_3_2)),\n",
       "         Or(Not(q_3_0), Not(q_3_3)),\n",
       "         Or(Not(q_3_0), Not(q_3_4)),\n",
       "         Or(Not(q_3_0), Not(q_3_5)),\n",
       "         Or(Not(q_3_0), Not(q_3_6)),\n",
       "         Or(Not(q_3_0), Not(q_3_7)),\n",
       "         Or(Not(q_3_0), Not(q_3_8)),\n",
       "         Or(Not(q_3_0), Not(q_3_9)),\n",
       "         Or(Not(q_3_0), Not(q_3_10)),\n",
       "         Or(Not(q_3_0), Not(q_3_11)),\n",
       "         Or(Not(q_3_0), Not(q_3_12)),\n",
       "         Or(Not(q_3_0), Not(q_3_13)),\n",
       "         Or(Not(q_3_0), Not(q_3_14)),\n",
       "         Or(Not(q_3_1), Not(q_3_2)),\n",
       "         Or(Not(q_3_1), Not(q_3_3)),\n",
       "         Or(Not(q_3_1), Not(q_3_4)),\n",
       "         Or(Not(q_3_1), Not(q_3_5)),\n",
       "         Or(Not(q_3_1), Not(q_3_6)),\n",
       "         Or(Not(q_3_1), Not(q_3_7)),\n",
       "         Or(Not(q_3_1), Not(q_3_8)),\n",
       "         Or(Not(q_3_1), Not(q_3_9)),\n",
       "         Or(Not(q_3_1), Not(q_3_10)),\n",
       "         Or(Not(q_3_1), Not(q_3_11)),\n",
       "         Or(Not(q_3_1), Not(q_3_12)),\n",
       "         Or(Not(q_3_1), Not(q_3_13)),\n",
       "         Or(Not(q_3_1), Not(q_3_14)),\n",
       "         Or(Not(q_3_2), Not(q_3_3)),\n",
       "         Or(Not(q_3_2), Not(q_3_4)),\n",
       "         Or(Not(q_3_2), Not(q_3_5)),\n",
       "         Or(Not(q_3_2), Not(q_3_6)),\n",
       "         Or(Not(q_3_2), Not(q_3_7)),\n",
       "         Or(Not(q_3_2), Not(q_3_8)),\n",
       "         Or(Not(q_3_2), Not(q_3_9)),\n",
       "         Or(Not(q_3_2), Not(q_3_10)),\n",
       "         Or(Not(q_3_2), Not(q_3_11)),\n",
       "         Or(Not(q_3_2), Not(q_3_12)),\n",
       "         Or(Not(q_3_2), Not(q_3_13)),\n",
       "         Or(Not(q_3_2), Not(q_3_14)),\n",
       "         Or(Not(q_3_3), Not(q_3_4)),\n",
       "         Or(Not(q_3_3), Not(q_3_5)),\n",
       "         Or(Not(q_3_3), Not(q_3_6)),\n",
       "         Or(Not(q_3_3), Not(q_3_7)),\n",
       "         Or(Not(q_3_3), Not(q_3_8)),\n",
       "         Or(Not(q_3_3), Not(q_3_9)),\n",
       "         Or(Not(q_3_3), Not(q_3_10)),\n",
       "         Or(Not(q_3_3), Not(q_3_11)),\n",
       "         Or(Not(q_3_3), Not(q_3_12)),\n",
       "         Or(Not(q_3_3), Not(q_3_13)),\n",
       "         Or(Not(q_3_3), Not(q_3_14)),\n",
       "         Or(Not(q_3_4), Not(q_3_5)),\n",
       "         Or(Not(q_3_4), Not(q_3_6)),\n",
       "         Or(Not(q_3_4), Not(q_3_7)),\n",
       "         Or(Not(q_3_4), Not(q_3_8)),\n",
       "         Or(Not(q_3_4), Not(q_3_9)),\n",
       "         Or(Not(q_3_4), Not(q_3_10)),\n",
       "         Or(Not(q_3_4), Not(q_3_11)),\n",
       "         Or(Not(q_3_4), Not(q_3_12)),\n",
       "         Or(Not(q_3_4), Not(q_3_13)),\n",
       "         Or(Not(q_3_4), Not(q_3_14)),\n",
       "         Or(Not(q_3_5), Not(q_3_6)),\n",
       "         Or(Not(q_3_5), Not(q_3_7)),\n",
       "         Or(Not(q_3_5), Not(q_3_8)),\n",
       "         Or(Not(q_3_5), Not(q_3_9)),\n",
       "         Or(Not(q_3_5), Not(q_3_10)),\n",
       "         Or(Not(q_3_5), Not(q_3_11)),\n",
       "         Or(Not(q_3_5), Not(q_3_12)),\n",
       "         Or(Not(q_3_5), Not(q_3_13)),\n",
       "         Or(Not(q_3_5), Not(q_3_14)),\n",
       "         Or(Not(q_3_6), Not(q_3_7)),\n",
       "         Or(Not(q_3_6), Not(q_3_8)),\n",
       "         Or(Not(q_3_6), Not(q_3_9)),\n",
       "         Or(Not(q_3_6), Not(q_3_10)),\n",
       "         Or(Not(q_3_6), Not(q_3_11)),\n",
       "         Or(Not(q_3_6), Not(q_3_12)),\n",
       "         Or(Not(q_3_6), Not(q_3_13)),\n",
       "         Or(Not(q_3_6), Not(q_3_14)),\n",
       "         Or(Not(q_3_7), Not(q_3_8)),\n",
       "         Or(Not(q_3_7), Not(q_3_9)),\n",
       "         Or(Not(q_3_7), Not(q_3_10)),\n",
       "         Or(Not(q_3_7), Not(q_3_11)),\n",
       "         Or(Not(q_3_7), Not(q_3_12)),\n",
       "         Or(Not(q_3_7), Not(q_3_13)),\n",
       "         Or(Not(q_3_7), Not(q_3_14)),\n",
       "         Or(Not(q_3_8), Not(q_3_9)),\n",
       "         Or(Not(q_3_8), Not(q_3_10)),\n",
       "         Or(Not(q_3_8), Not(q_3_11)),\n",
       "         Or(Not(q_3_8), Not(q_3_12)),\n",
       "         Or(Not(q_3_8), Not(q_3_13)),\n",
       "         Or(Not(q_3_8), Not(q_3_14)),\n",
       "         Or(Not(q_3_9), Not(q_3_10)),\n",
       "         Or(Not(q_3_9), Not(q_3_11)),\n",
       "         Or(Not(q_3_9), Not(q_3_12)),\n",
       "         Or(Not(q_3_9), Not(q_3_13)),\n",
       "         Or(Not(q_3_9), Not(q_3_14)),\n",
       "         Or(Not(q_3_10), Not(q_3_11)),\n",
       "         Or(Not(q_3_10), Not(q_3_12)),\n",
       "         Or(Not(q_3_10), Not(q_3_13)),\n",
       "         Or(Not(q_3_10), Not(q_3_14)),\n",
       "         Or(Not(q_3_11), Not(q_3_12)),\n",
       "         Or(Not(q_3_11), Not(q_3_13)),\n",
       "         Or(Not(q_3_11), Not(q_3_14)),\n",
       "         Or(Not(q_3_12), Not(q_3_13)),\n",
       "         Or(Not(q_3_12), Not(q_3_14)),\n",
       "         Or(Not(q_3_13), Not(q_3_14))),\n",
       "     Or(q_3_0,\n",
       "        q_3_1,\n",
       "        q_3_2,\n",
       "        q_3_3,\n",
       "        q_3_4,\n",
       "        q_3_5,\n",
       "        q_3_6,\n",
       "        q_3_7,\n",
       "        q_3_8,\n",
       "        q_3_9,\n",
       "        q_3_10,\n",
       "        q_3_11,\n",
       "        q_3_12,\n",
       "        q_3_13,\n",
       "        q_3_14)), And(And(Or(Not(q_4_0), Not(q_4_1)),\n",
       "         Or(Not(q_4_0), Not(q_4_2)),\n",
       "         Or(Not(q_4_0), Not(q_4_3)),\n",
       "         Or(Not(q_4_0), Not(q_4_4)),\n",
       "         Or(Not(q_4_0), Not(q_4_5)),\n",
       "         Or(Not(q_4_0), Not(q_4_6)),\n",
       "         Or(Not(q_4_0), Not(q_4_7)),\n",
       "         Or(Not(q_4_0), Not(q_4_8)),\n",
       "         Or(Not(q_4_0), Not(q_4_9)),\n",
       "         Or(Not(q_4_0), Not(q_4_10)),\n",
       "         Or(Not(q_4_0), Not(q_4_11)),\n",
       "         Or(Not(q_4_0), Not(q_4_12)),\n",
       "         Or(Not(q_4_0), Not(q_4_13)),\n",
       "         Or(Not(q_4_0), Not(q_4_14)),\n",
       "         Or(Not(q_4_1), Not(q_4_2)),\n",
       "         Or(Not(q_4_1), Not(q_4_3)),\n",
       "         Or(Not(q_4_1), Not(q_4_4)),\n",
       "         Or(Not(q_4_1), Not(q_4_5)),\n",
       "         Or(Not(q_4_1), Not(q_4_6)),\n",
       "         Or(Not(q_4_1), Not(q_4_7)),\n",
       "         Or(Not(q_4_1), Not(q_4_8)),\n",
       "         Or(Not(q_4_1), Not(q_4_9)),\n",
       "         Or(Not(q_4_1), Not(q_4_10)),\n",
       "         Or(Not(q_4_1), Not(q_4_11)),\n",
       "         Or(Not(q_4_1), Not(q_4_12)),\n",
       "         Or(Not(q_4_1), Not(q_4_13)),\n",
       "         Or(Not(q_4_1), Not(q_4_14)),\n",
       "         Or(Not(q_4_2), Not(q_4_3)),\n",
       "         Or(Not(q_4_2), Not(q_4_4)),\n",
       "         Or(Not(q_4_2), Not(q_4_5)),\n",
       "         Or(Not(q_4_2), Not(q_4_6)),\n",
       "         Or(Not(q_4_2), Not(q_4_7)),\n",
       "         Or(Not(q_4_2), Not(q_4_8)),\n",
       "         Or(Not(q_4_2), Not(q_4_9)),\n",
       "         Or(Not(q_4_2), Not(q_4_10)),\n",
       "         Or(Not(q_4_2), Not(q_4_11)),\n",
       "         Or(Not(q_4_2), Not(q_4_12)),\n",
       "         Or(Not(q_4_2), Not(q_4_13)),\n",
       "         Or(Not(q_4_2), Not(q_4_14)),\n",
       "         Or(Not(q_4_3), Not(q_4_4)),\n",
       "         Or(Not(q_4_3), Not(q_4_5)),\n",
       "         Or(Not(q_4_3), Not(q_4_6)),\n",
       "         Or(Not(q_4_3), Not(q_4_7)),\n",
       "         Or(Not(q_4_3), Not(q_4_8)),\n",
       "         Or(Not(q_4_3), Not(q_4_9)),\n",
       "         Or(Not(q_4_3), Not(q_4_10)),\n",
       "         Or(Not(q_4_3), Not(q_4_11)),\n",
       "         Or(Not(q_4_3), Not(q_4_12)),\n",
       "         Or(Not(q_4_3), Not(q_4_13)),\n",
       "         Or(Not(q_4_3), Not(q_4_14)),\n",
       "         Or(Not(q_4_4), Not(q_4_5)),\n",
       "         Or(Not(q_4_4), Not(q_4_6)),\n",
       "         Or(Not(q_4_4), Not(q_4_7)),\n",
       "         Or(Not(q_4_4), Not(q_4_8)),\n",
       "         Or(Not(q_4_4), Not(q_4_9)),\n",
       "         Or(Not(q_4_4), Not(q_4_10)),\n",
       "         Or(Not(q_4_4), Not(q_4_11)),\n",
       "         Or(Not(q_4_4), Not(q_4_12)),\n",
       "         Or(Not(q_4_4), Not(q_4_13)),\n",
       "         Or(Not(q_4_4), Not(q_4_14)),\n",
       "         Or(Not(q_4_5), Not(q_4_6)),\n",
       "         Or(Not(q_4_5), Not(q_4_7)),\n",
       "         Or(Not(q_4_5), Not(q_4_8)),\n",
       "         Or(Not(q_4_5), Not(q_4_9)),\n",
       "         Or(Not(q_4_5), Not(q_4_10)),\n",
       "         Or(Not(q_4_5), Not(q_4_11)),\n",
       "         Or(Not(q_4_5), Not(q_4_12)),\n",
       "         Or(Not(q_4_5), Not(q_4_13)),\n",
       "         Or(Not(q_4_5), Not(q_4_14)),\n",
       "         Or(Not(q_4_6), Not(q_4_7)),\n",
       "         Or(Not(q_4_6), Not(q_4_8)),\n",
       "         Or(Not(q_4_6), Not(q_4_9)),\n",
       "         Or(Not(q_4_6), Not(q_4_10)),\n",
       "         Or(Not(q_4_6), Not(q_4_11)),\n",
       "         Or(Not(q_4_6), Not(q_4_12)),\n",
       "         Or(Not(q_4_6), Not(q_4_13)),\n",
       "         Or(Not(q_4_6), Not(q_4_14)),\n",
       "         Or(Not(q_4_7), Not(q_4_8)),\n",
       "         Or(Not(q_4_7), Not(q_4_9)),\n",
       "         Or(Not(q_4_7), Not(q_4_10)),\n",
       "         Or(Not(q_4_7), Not(q_4_11)),\n",
       "         Or(Not(q_4_7), Not(q_4_12)),\n",
       "         Or(Not(q_4_7), Not(q_4_13)),\n",
       "         Or(Not(q_4_7), Not(q_4_14)),\n",
       "         Or(Not(q_4_8), Not(q_4_9)),\n",
       "         Or(Not(q_4_8), Not(q_4_10)),\n",
       "         Or(Not(q_4_8), Not(q_4_11)),\n",
       "         Or(Not(q_4_8), Not(q_4_12)),\n",
       "         Or(Not(q_4_8), Not(q_4_13)),\n",
       "         Or(Not(q_4_8), Not(q_4_14)),\n",
       "         Or(Not(q_4_9), Not(q_4_10)),\n",
       "         Or(Not(q_4_9), Not(q_4_11)),\n",
       "         Or(Not(q_4_9), Not(q_4_12)),\n",
       "         Or(Not(q_4_9), Not(q_4_13)),\n",
       "         Or(Not(q_4_9), Not(q_4_14)),\n",
       "         Or(Not(q_4_10), Not(q_4_11)),\n",
       "         Or(Not(q_4_10), Not(q_4_12)),\n",
       "         Or(Not(q_4_10), Not(q_4_13)),\n",
       "         Or(Not(q_4_10), Not(q_4_14)),\n",
       "         Or(Not(q_4_11), Not(q_4_12)),\n",
       "         Or(Not(q_4_11), Not(q_4_13)),\n",
       "         Or(Not(q_4_11), Not(q_4_14)),\n",
       "         Or(Not(q_4_12), Not(q_4_13)),\n",
       "         Or(Not(q_4_12), Not(q_4_14)),\n",
       "         Or(Not(q_4_13), Not(q_4_14))),\n",
       "     Or(q_4_0,\n",
       "        q_4_1,\n",
       "        q_4_2,\n",
       "        q_4_3,\n",
       "        q_4_4,\n",
       "        q_4_5,\n",
       "        q_4_6,\n",
       "        q_4_7,\n",
       "        q_4_8,\n",
       "        q_4_9,\n",
       "        q_4_10,\n",
       "        q_4_11,\n",
       "        q_4_12,\n",
       "        q_4_13,\n",
       "        q_4_14)), And(And(Or(Not(q_5_0), Not(q_5_1)),\n",
       "         Or(Not(q_5_0), Not(q_5_2)),\n",
       "         Or(Not(q_5_0), Not(q_5_3)),\n",
       "         Or(Not(q_5_0), Not(q_5_4)),\n",
       "         Or(Not(q_5_0), Not(q_5_5)),\n",
       "         Or(Not(q_5_0), Not(q_5_6)),\n",
       "         Or(Not(q_5_0), Not(q_5_7)),\n",
       "         Or(Not(q_5_0), Not(q_5_8)),\n",
       "         Or(Not(q_5_0), Not(q_5_9)),\n",
       "         Or(Not(q_5_0), Not(q_5_10)),\n",
       "         Or(Not(q_5_0), Not(q_5_11)),\n",
       "         Or(Not(q_5_0), Not(q_5_12)),\n",
       "         Or(Not(q_5_0), Not(q_5_13)),\n",
       "         Or(Not(q_5_0), Not(q_5_14)),\n",
       "         Or(Not(q_5_1), Not(q_5_2)),\n",
       "         Or(Not(q_5_1), Not(q_5_3)),\n",
       "         Or(Not(q_5_1), Not(q_5_4)),\n",
       "         Or(Not(q_5_1), Not(q_5_5)),\n",
       "         Or(Not(q_5_1), Not(q_5_6)),\n",
       "         Or(Not(q_5_1), Not(q_5_7)),\n",
       "         Or(Not(q_5_1), Not(q_5_8)),\n",
       "         Or(Not(q_5_1), Not(q_5_9)),\n",
       "         Or(Not(q_5_1), Not(q_5_10)),\n",
       "         Or(Not(q_5_1), Not(q_5_11)),\n",
       "         Or(Not(q_5_1), Not(q_5_12)),\n",
       "         Or(Not(q_5_1), Not(q_5_13)),\n",
       "         Or(Not(q_5_1), Not(q_5_14)),\n",
       "         Or(Not(q_5_2), Not(q_5_3)),\n",
       "         Or(Not(q_5_2), Not(q_5_4)),\n",
       "         Or(Not(q_5_2), Not(q_5_5)),\n",
       "         Or(Not(q_5_2), Not(q_5_6)),\n",
       "         Or(Not(q_5_2), Not(q_5_7)),\n",
       "         Or(Not(q_5_2), Not(q_5_8)),\n",
       "         Or(Not(q_5_2), Not(q_5_9)),\n",
       "         Or(Not(q_5_2), Not(q_5_10)),\n",
       "         Or(Not(q_5_2), Not(q_5_11)),\n",
       "         Or(Not(q_5_2), Not(q_5_12)),\n",
       "         Or(Not(q_5_2), Not(q_5_13)),\n",
       "         Or(Not(q_5_2), Not(q_5_14)),\n",
       "         Or(Not(q_5_3), Not(q_5_4)),\n",
       "         Or(Not(q_5_3), Not(q_5_5)),\n",
       "         Or(Not(q_5_3), Not(q_5_6)),\n",
       "         Or(Not(q_5_3), Not(q_5_7)),\n",
       "         Or(Not(q_5_3), Not(q_5_8)),\n",
       "         Or(Not(q_5_3), Not(q_5_9)),\n",
       "         Or(Not(q_5_3), Not(q_5_10)),\n",
       "         Or(Not(q_5_3), Not(q_5_11)),\n",
       "         Or(Not(q_5_3), Not(q_5_12)),\n",
       "         Or(Not(q_5_3), Not(q_5_13)),\n",
       "         Or(Not(q_5_3), Not(q_5_14)),\n",
       "         Or(Not(q_5_4), Not(q_5_5)),\n",
       "         Or(Not(q_5_4), Not(q_5_6)),\n",
       "         Or(Not(q_5_4), Not(q_5_7)),\n",
       "         Or(Not(q_5_4), Not(q_5_8)),\n",
       "         Or(Not(q_5_4), Not(q_5_9)),\n",
       "         Or(Not(q_5_4), Not(q_5_10)),\n",
       "         Or(Not(q_5_4), Not(q_5_11)),\n",
       "         Or(Not(q_5_4), Not(q_5_12)),\n",
       "         Or(Not(q_5_4), Not(q_5_13)),\n",
       "         Or(Not(q_5_4), Not(q_5_14)),\n",
       "         Or(Not(q_5_5), Not(q_5_6)),\n",
       "         Or(Not(q_5_5), Not(q_5_7)),\n",
       "         Or(Not(q_5_5), Not(q_5_8)),\n",
       "         Or(Not(q_5_5), Not(q_5_9)),\n",
       "         Or(Not(q_5_5), Not(q_5_10)),\n",
       "         Or(Not(q_5_5), Not(q_5_11)),\n",
       "         Or(Not(q_5_5), Not(q_5_12)),\n",
       "         Or(Not(q_5_5), Not(q_5_13)),\n",
       "         Or(Not(q_5_5), Not(q_5_14)),\n",
       "         Or(Not(q_5_6), Not(q_5_7)),\n",
       "         Or(Not(q_5_6), Not(q_5_8)),\n",
       "         Or(Not(q_5_6), Not(q_5_9)),\n",
       "         Or(Not(q_5_6), Not(q_5_10)),\n",
       "         Or(Not(q_5_6), Not(q_5_11)),\n",
       "         Or(Not(q_5_6), Not(q_5_12)),\n",
       "         Or(Not(q_5_6), Not(q_5_13)),\n",
       "         Or(Not(q_5_6), Not(q_5_14)),\n",
       "         Or(Not(q_5_7), Not(q_5_8)),\n",
       "         Or(Not(q_5_7), Not(q_5_9)),\n",
       "         Or(Not(q_5_7), Not(q_5_10)),\n",
       "         Or(Not(q_5_7), Not(q_5_11)),\n",
       "         Or(Not(q_5_7), Not(q_5_12)),\n",
       "         Or(Not(q_5_7), Not(q_5_13)),\n",
       "         Or(Not(q_5_7), Not(q_5_14)),\n",
       "         Or(Not(q_5_8), Not(q_5_9)),\n",
       "         Or(Not(q_5_8), Not(q_5_10)),\n",
       "         Or(Not(q_5_8), Not(q_5_11)),\n",
       "         Or(Not(q_5_8), Not(q_5_12)),\n",
       "         Or(Not(q_5_8), Not(q_5_13)),\n",
       "         Or(Not(q_5_8), Not(q_5_14)),\n",
       "         Or(Not(q_5_9), Not(q_5_10)),\n",
       "         Or(Not(q_5_9), Not(q_5_11)),\n",
       "         Or(Not(q_5_9), Not(q_5_12)),\n",
       "         Or(Not(q_5_9), Not(q_5_13)),\n",
       "         Or(Not(q_5_9), Not(q_5_14)),\n",
       "         Or(Not(q_5_10), Not(q_5_11)),\n",
       "         Or(Not(q_5_10), Not(q_5_12)),\n",
       "         Or(Not(q_5_10), Not(q_5_13)),\n",
       "         Or(Not(q_5_10), Not(q_5_14)),\n",
       "         Or(Not(q_5_11), Not(q_5_12)),\n",
       "         Or(Not(q_5_11), Not(q_5_13)),\n",
       "         Or(Not(q_5_11), Not(q_5_14)),\n",
       "         Or(Not(q_5_12), Not(q_5_13)),\n",
       "         Or(Not(q_5_12), Not(q_5_14)),\n",
       "         Or(Not(q_5_13), Not(q_5_14))),\n",
       "     Or(q_5_0,\n",
       "        q_5_1,\n",
       "        q_5_2,\n",
       "        q_5_3,\n",
       "        q_5_4,\n",
       "        q_5_5,\n",
       "        q_5_6,\n",
       "        q_5_7,\n",
       "        q_5_8,\n",
       "        q_5_9,\n",
       "        q_5_10,\n",
       "        q_5_11,\n",
       "        q_5_12,\n",
       "        q_5_13,\n",
       "        q_5_14)), And(And(Or(Not(q_6_0), Not(q_6_1)),\n",
       "         Or(Not(q_6_0), Not(q_6_2)),\n",
       "         Or(Not(q_6_0), Not(q_6_3)),\n",
       "         Or(Not(q_6_0), Not(q_6_4)),\n",
       "         Or(Not(q_6_0), Not(q_6_5)),\n",
       "         Or(Not(q_6_0), Not(q_6_6)),\n",
       "         Or(Not(q_6_0), Not(q_6_7)),\n",
       "         Or(Not(q_6_0), Not(q_6_8)),\n",
       "         Or(Not(q_6_0), Not(q_6_9)),\n",
       "         Or(Not(q_6_0), Not(q_6_10)),\n",
       "         Or(Not(q_6_0), Not(q_6_11)),\n",
       "         Or(Not(q_6_0), Not(q_6_12)),\n",
       "         Or(Not(q_6_0), Not(q_6_13)),\n",
       "         Or(Not(q_6_0), Not(q_6_14)),\n",
       "         Or(Not(q_6_1), Not(q_6_2)),\n",
       "         Or(Not(q_6_1), Not(q_6_3)),\n",
       "         Or(Not(q_6_1), Not(q_6_4)),\n",
       "         Or(Not(q_6_1), Not(q_6_5)),\n",
       "         Or(Not(q_6_1), Not(q_6_6)),\n",
       "         Or(Not(q_6_1), Not(q_6_7)),\n",
       "         Or(Not(q_6_1), Not(q_6_8)),\n",
       "         Or(Not(q_6_1), Not(q_6_9)),\n",
       "         Or(Not(q_6_1), Not(q_6_10)),\n",
       "         Or(Not(q_6_1), Not(q_6_11)),\n",
       "         Or(Not(q_6_1), Not(q_6_12)),\n",
       "         Or(Not(q_6_1), Not(q_6_13)),\n",
       "         Or(Not(q_6_1), Not(q_6_14)),\n",
       "         Or(Not(q_6_2), Not(q_6_3)),\n",
       "         Or(Not(q_6_2), Not(q_6_4)),\n",
       "         Or(Not(q_6_2), Not(q_6_5)),\n",
       "         Or(Not(q_6_2), Not(q_6_6)),\n",
       "         Or(Not(q_6_2), Not(q_6_7)),\n",
       "         Or(Not(q_6_2), Not(q_6_8)),\n",
       "         Or(Not(q_6_2), Not(q_6_9)),\n",
       "         Or(Not(q_6_2), Not(q_6_10)),\n",
       "         Or(Not(q_6_2), Not(q_6_11)),\n",
       "         Or(Not(q_6_2), Not(q_6_12)),\n",
       "         Or(Not(q_6_2), Not(q_6_13)),\n",
       "         Or(Not(q_6_2), Not(q_6_14)),\n",
       "         Or(Not(q_6_3), Not(q_6_4)),\n",
       "         Or(Not(q_6_3), Not(q_6_5)),\n",
       "         Or(Not(q_6_3), Not(q_6_6)),\n",
       "         Or(Not(q_6_3), Not(q_6_7)),\n",
       "         Or(Not(q_6_3), Not(q_6_8)),\n",
       "         Or(Not(q_6_3), Not(q_6_9)),\n",
       "         Or(Not(q_6_3), Not(q_6_10)),\n",
       "         Or(Not(q_6_3), Not(q_6_11)),\n",
       "         Or(Not(q_6_3), Not(q_6_12)),\n",
       "         Or(Not(q_6_3), Not(q_6_13)),\n",
       "         Or(Not(q_6_3), Not(q_6_14)),\n",
       "         Or(Not(q_6_4), Not(q_6_5)),\n",
       "         Or(Not(q_6_4), Not(q_6_6)),\n",
       "         Or(Not(q_6_4), Not(q_6_7)),\n",
       "         Or(Not(q_6_4), Not(q_6_8)),\n",
       "         Or(Not(q_6_4), Not(q_6_9)),\n",
       "         Or(Not(q_6_4), Not(q_6_10)),\n",
       "         Or(Not(q_6_4), Not(q_6_11)),\n",
       "         Or(Not(q_6_4), Not(q_6_12)),\n",
       "         Or(Not(q_6_4), Not(q_6_13)),\n",
       "         Or(Not(q_6_4), Not(q_6_14)),\n",
       "         Or(Not(q_6_5), Not(q_6_6)),\n",
       "         Or(Not(q_6_5), Not(q_6_7)),\n",
       "         Or(Not(q_6_5), Not(q_6_8)),\n",
       "         Or(Not(q_6_5), Not(q_6_9)),\n",
       "         Or(Not(q_6_5), Not(q_6_10)),\n",
       "         Or(Not(q_6_5), Not(q_6_11)),\n",
       "         Or(Not(q_6_5), Not(q_6_12)),\n",
       "         Or(Not(q_6_5), Not(q_6_13)),\n",
       "         Or(Not(q_6_5), Not(q_6_14)),\n",
       "         Or(Not(q_6_6), Not(q_6_7)),\n",
       "         Or(Not(q_6_6), Not(q_6_8)),\n",
       "         Or(Not(q_6_6), Not(q_6_9)),\n",
       "         Or(Not(q_6_6), Not(q_6_10)),\n",
       "         Or(Not(q_6_6), Not(q_6_11)),\n",
       "         Or(Not(q_6_6), Not(q_6_12)),\n",
       "         Or(Not(q_6_6), Not(q_6_13)),\n",
       "         Or(Not(q_6_6), Not(q_6_14)),\n",
       "         Or(Not(q_6_7), Not(q_6_8)),\n",
       "         Or(Not(q_6_7), Not(q_6_9)),\n",
       "         Or(Not(q_6_7), Not(q_6_10)),\n",
       "         Or(Not(q_6_7), Not(q_6_11)),\n",
       "         Or(Not(q_6_7), Not(q_6_12)),\n",
       "         Or(Not(q_6_7), Not(q_6_13)),\n",
       "         Or(Not(q_6_7), Not(q_6_14)),\n",
       "         Or(Not(q_6_8), Not(q_6_9)),\n",
       "         Or(Not(q_6_8), Not(q_6_10)),\n",
       "         Or(Not(q_6_8), Not(q_6_11)),\n",
       "         Or(Not(q_6_8), Not(q_6_12)),\n",
       "         Or(Not(q_6_8), Not(q_6_13)),\n",
       "         Or(Not(q_6_8), Not(q_6_14)),\n",
       "         Or(Not(q_6_9), Not(q_6_10)),\n",
       "         Or(Not(q_6_9), Not(q_6_11)),\n",
       "         Or(Not(q_6_9), Not(q_6_12)),\n",
       "         Or(Not(q_6_9), Not(q_6_13)),\n",
       "         Or(Not(q_6_9), Not(q_6_14)),\n",
       "         Or(Not(q_6_10), Not(q_6_11)),\n",
       "         Or(Not(q_6_10), Not(q_6_12)),\n",
       "         Or(Not(q_6_10), Not(q_6_13)),\n",
       "         Or(Not(q_6_10), Not(q_6_14)),\n",
       "         Or(Not(q_6_11), Not(q_6_12)),\n",
       "         Or(Not(q_6_11), Not(q_6_13)),\n",
       "         Or(Not(q_6_11), Not(q_6_14)),\n",
       "         Or(Not(q_6_12), Not(q_6_13)),\n",
       "         Or(Not(q_6_12), Not(q_6_14)),\n",
       "         Or(Not(q_6_13), Not(q_6_14))),\n",
       "     Or(q_6_0,\n",
       "        q_6_1,\n",
       "        q_6_2,\n",
       "        q_6_3,\n",
       "        q_6_4,\n",
       "        q_6_5,\n",
       "        q_6_6,\n",
       "        q_6_7,\n",
       "        q_6_8,\n",
       "        q_6_9,\n",
       "        q_6_10,\n",
       "        q_6_11,\n",
       "        q_6_12,\n",
       "        q_6_13,\n",
       "        q_6_14)), And(And(Or(Not(q_7_0), Not(q_7_1)),\n",
       "         Or(Not(q_7_0), Not(q_7_2)),\n",
       "         Or(Not(q_7_0), Not(q_7_3)),\n",
       "         Or(Not(q_7_0), Not(q_7_4)),\n",
       "         Or(Not(q_7_0), Not(q_7_5)),\n",
       "         Or(Not(q_7_0), Not(q_7_6)),\n",
       "         Or(Not(q_7_0), Not(q_7_7)),\n",
       "         Or(Not(q_7_0), Not(q_7_8)),\n",
       "         Or(Not(q_7_0), Not(q_7_9)),\n",
       "         Or(Not(q_7_0), Not(q_7_10)),\n",
       "         Or(Not(q_7_0), Not(q_7_11)),\n",
       "         Or(Not(q_7_0), Not(q_7_12)),\n",
       "         Or(Not(q_7_0), Not(q_7_13)),\n",
       "         Or(Not(q_7_0), Not(q_7_14)),\n",
       "         Or(Not(q_7_1), Not(q_7_2)),\n",
       "         Or(Not(q_7_1), Not(q_7_3)),\n",
       "         Or(Not(q_7_1), Not(q_7_4)),\n",
       "         Or(Not(q_7_1), Not(q_7_5)),\n",
       "         Or(Not(q_7_1), Not(q_7_6)),\n",
       "         Or(Not(q_7_1), Not(q_7_7)),\n",
       "         Or(Not(q_7_1), Not(q_7_8)),\n",
       "         Or(Not(q_7_1), Not(q_7_9)),\n",
       "         Or(Not(q_7_1), Not(q_7_10)),\n",
       "         Or(Not(q_7_1), Not(q_7_11)),\n",
       "         Or(Not(q_7_1), Not(q_7_12)),\n",
       "         Or(Not(q_7_1), Not(q_7_13)),\n",
       "         Or(Not(q_7_1), Not(q_7_14)),\n",
       "         Or(Not(q_7_2), Not(q_7_3)),\n",
       "         Or(Not(q_7_2), Not(q_7_4)),\n",
       "         Or(Not(q_7_2), Not(q_7_5)),\n",
       "         Or(Not(q_7_2), Not(q_7_6)),\n",
       "         Or(Not(q_7_2), Not(q_7_7)),\n",
       "         Or(Not(q_7_2), Not(q_7_8)),\n",
       "         Or(Not(q_7_2), Not(q_7_9)),\n",
       "         Or(Not(q_7_2), Not(q_7_10)),\n",
       "         Or(Not(q_7_2), Not(q_7_11)),\n",
       "         Or(Not(q_7_2), Not(q_7_12)),\n",
       "         Or(Not(q_7_2), Not(q_7_13)),\n",
       "         Or(Not(q_7_2), Not(q_7_14)),\n",
       "         Or(Not(q_7_3), Not(q_7_4)),\n",
       "         Or(Not(q_7_3), Not(q_7_5)),\n",
       "         Or(Not(q_7_3), Not(q_7_6)),\n",
       "         Or(Not(q_7_3), Not(q_7_7)),\n",
       "         Or(Not(q_7_3), Not(q_7_8)),\n",
       "         Or(Not(q_7_3), Not(q_7_9)),\n",
       "         Or(Not(q_7_3), Not(q_7_10)),\n",
       "         Or(Not(q_7_3), Not(q_7_11)),\n",
       "         Or(Not(q_7_3), Not(q_7_12)),\n",
       "         Or(Not(q_7_3), Not(q_7_13)),\n",
       "         Or(Not(q_7_3), Not(q_7_14)),\n",
       "         Or(Not(q_7_4), Not(q_7_5)),\n",
       "         Or(Not(q_7_4), Not(q_7_6)),\n",
       "         Or(Not(q_7_4), Not(q_7_7)),\n",
       "         Or(Not(q_7_4), Not(q_7_8)),\n",
       "         Or(Not(q_7_4), Not(q_7_9)),\n",
       "         Or(Not(q_7_4), Not(q_7_10)),\n",
       "         Or(Not(q_7_4), Not(q_7_11)),\n",
       "         Or(Not(q_7_4), Not(q_7_12)),\n",
       "         Or(Not(q_7_4), Not(q_7_13)),\n",
       "         Or(Not(q_7_4), Not(q_7_14)),\n",
       "         Or(Not(q_7_5), Not(q_7_6)),\n",
       "         Or(Not(q_7_5), Not(q_7_7)),\n",
       "         Or(Not(q_7_5), Not(q_7_8)),\n",
       "         Or(Not(q_7_5), Not(q_7_9)),\n",
       "         Or(Not(q_7_5), Not(q_7_10)),\n",
       "         Or(Not(q_7_5), Not(q_7_11)),\n",
       "         Or(Not(q_7_5), Not(q_7_12)),\n",
       "         Or(Not(q_7_5), Not(q_7_13)),\n",
       "         Or(Not(q_7_5), Not(q_7_14)),\n",
       "         Or(Not(q_7_6), Not(q_7_7)),\n",
       "         Or(Not(q_7_6), Not(q_7_8)),\n",
       "         Or(Not(q_7_6), Not(q_7_9)),\n",
       "         Or(Not(q_7_6), Not(q_7_10)),\n",
       "         Or(Not(q_7_6), Not(q_7_11)),\n",
       "         Or(Not(q_7_6), Not(q_7_12)),\n",
       "         Or(Not(q_7_6), Not(q_7_13)),\n",
       "         Or(Not(q_7_6), Not(q_7_14)),\n",
       "         Or(Not(q_7_7), Not(q_7_8)),\n",
       "         Or(Not(q_7_7), Not(q_7_9)),\n",
       "         Or(Not(q_7_7), Not(q_7_10)),\n",
       "         Or(Not(q_7_7), Not(q_7_11)),\n",
       "         Or(Not(q_7_7), Not(q_7_12)),\n",
       "         Or(Not(q_7_7), Not(q_7_13)),\n",
       "         Or(Not(q_7_7), Not(q_7_14)),\n",
       "         Or(Not(q_7_8), Not(q_7_9)),\n",
       "         Or(Not(q_7_8), Not(q_7_10)),\n",
       "         Or(Not(q_7_8), Not(q_7_11)),\n",
       "         Or(Not(q_7_8), Not(q_7_12)),\n",
       "         Or(Not(q_7_8), Not(q_7_13)),\n",
       "         Or(Not(q_7_8), Not(q_7_14)),\n",
       "         Or(Not(q_7_9), Not(q_7_10)),\n",
       "         Or(Not(q_7_9), Not(q_7_11)),\n",
       "         Or(Not(q_7_9), Not(q_7_12)),\n",
       "         Or(Not(q_7_9), Not(q_7_13)),\n",
       "         Or(Not(q_7_9), Not(q_7_14)),\n",
       "         Or(Not(q_7_10), Not(q_7_11)),\n",
       "         Or(Not(q_7_10), Not(q_7_12)),\n",
       "         Or(Not(q_7_10), Not(q_7_13)),\n",
       "         Or(Not(q_7_10), Not(q_7_14)),\n",
       "         Or(Not(q_7_11), Not(q_7_12)),\n",
       "         Or(Not(q_7_11), Not(q_7_13)),\n",
       "         Or(Not(q_7_11), Not(q_7_14)),\n",
       "         Or(Not(q_7_12), Not(q_7_13)),\n",
       "         Or(Not(q_7_12), Not(q_7_14)),\n",
       "         Or(Not(q_7_13), Not(q_7_14))),\n",
       "     Or(q_7_0,\n",
       "        q_7_1,\n",
       "        q_7_2,\n",
       "        q_7_3,\n",
       "        q_7_4,\n",
       "        q_7_5,\n",
       "        q_7_6,\n",
       "        q_7_7,\n",
       "        q_7_8,\n",
       "        q_7_9,\n",
       "        q_7_10,\n",
       "        q_7_11,\n",
       "        q_7_12,\n",
       "        q_7_13,\n",
       "        q_7_14)), And(And(Or(Not(q_8_0), Not(q_8_1)),\n",
       "         Or(Not(q_8_0), Not(q_8_2)),\n",
       "         Or(Not(q_8_0), Not(q_8_3)),\n",
       "         Or(Not(q_8_0), Not(q_8_4)),\n",
       "         Or(Not(q_8_0), Not(q_8_5)),\n",
       "         Or(Not(q_8_0), Not(q_8_6)),\n",
       "         Or(Not(q_8_0), Not(q_8_7)),\n",
       "         Or(Not(q_8_0), Not(q_8_8)),\n",
       "         Or(Not(q_8_0), Not(q_8_9)),\n",
       "         Or(Not(q_8_0), Not(q_8_10)),\n",
       "         Or(Not(q_8_0), Not(q_8_11)),\n",
       "         Or(Not(q_8_0), Not(q_8_12)),\n",
       "         Or(Not(q_8_0), Not(q_8_13)),\n",
       "         Or(Not(q_8_0), Not(q_8_14)),\n",
       "         Or(Not(q_8_1), Not(q_8_2)),\n",
       "         Or(Not(q_8_1), Not(q_8_3)),\n",
       "         Or(Not(q_8_1), Not(q_8_4)),\n",
       "         Or(Not(q_8_1), Not(q_8_5)),\n",
       "         Or(Not(q_8_1), Not(q_8_6)),\n",
       "         Or(Not(q_8_1), Not(q_8_7)),\n",
       "         Or(Not(q_8_1), Not(q_8_8)),\n",
       "         Or(Not(q_8_1), Not(q_8_9)),\n",
       "         Or(Not(q_8_1), Not(q_8_10)),\n",
       "         Or(Not(q_8_1), Not(q_8_11)),\n",
       "         Or(Not(q_8_1), Not(q_8_12)),\n",
       "         Or(Not(q_8_1), Not(q_8_13)),\n",
       "         Or(Not(q_8_1), Not(q_8_14)),\n",
       "         Or(Not(q_8_2), Not(q_8_3)),\n",
       "         Or(Not(q_8_2), Not(q_8_4)),\n",
       "         Or(Not(q_8_2), Not(q_8_5)),\n",
       "         Or(Not(q_8_2), Not(q_8_6)),\n",
       "         Or(Not(q_8_2), Not(q_8_7)),\n",
       "         Or(Not(q_8_2), Not(q_8_8)),\n",
       "         Or(Not(q_8_2), Not(q_8_9)),\n",
       "         Or(Not(q_8_2), Not(q_8_10)),\n",
       "         Or(Not(q_8_2), Not(q_8_11)),\n",
       "         Or(Not(q_8_2), Not(q_8_12)),\n",
       "         Or(Not(q_8_2), Not(q_8_13)),\n",
       "         Or(Not(q_8_2), Not(q_8_14)),\n",
       "         Or(Not(q_8_3), Not(q_8_4)),\n",
       "         Or(Not(q_8_3), Not(q_8_5)),\n",
       "         Or(Not(q_8_3), Not(q_8_6)),\n",
       "         Or(Not(q_8_3), Not(q_8_7)),\n",
       "         Or(Not(q_8_3), Not(q_8_8)),\n",
       "         Or(Not(q_8_3), Not(q_8_9)),\n",
       "         Or(Not(q_8_3), Not(q_8_10)),\n",
       "         Or(Not(q_8_3), Not(q_8_11)),\n",
       "         Or(Not(q_8_3), Not(q_8_12)),\n",
       "         Or(Not(q_8_3), Not(q_8_13)),\n",
       "         Or(Not(q_8_3), Not(q_8_14)),\n",
       "         Or(Not(q_8_4), Not(q_8_5)),\n",
       "         Or(Not(q_8_4), Not(q_8_6)),\n",
       "         Or(Not(q_8_4), Not(q_8_7)),\n",
       "         Or(Not(q_8_4), Not(q_8_8)),\n",
       "         Or(Not(q_8_4), Not(q_8_9)),\n",
       "         Or(Not(q_8_4), Not(q_8_10)),\n",
       "         Or(Not(q_8_4), Not(q_8_11)),\n",
       "         Or(Not(q_8_4), Not(q_8_12)),\n",
       "         Or(Not(q_8_4), Not(q_8_13)),\n",
       "         Or(Not(q_8_4), Not(q_8_14)),\n",
       "         Or(Not(q_8_5), Not(q_8_6)),\n",
       "         Or(Not(q_8_5), Not(q_8_7)),\n",
       "         Or(Not(q_8_5), Not(q_8_8)),\n",
       "         Or(Not(q_8_5), Not(q_8_9)),\n",
       "         Or(Not(q_8_5), Not(q_8_10)),\n",
       "         Or(Not(q_8_5), Not(q_8_11)),\n",
       "         Or(Not(q_8_5), Not(q_8_12)),\n",
       "         Or(Not(q_8_5), Not(q_8_13)),\n",
       "         Or(Not(q_8_5), Not(q_8_14)),\n",
       "         Or(Not(q_8_6), Not(q_8_7)),\n",
       "         Or(Not(q_8_6), Not(q_8_8)),\n",
       "         Or(Not(q_8_6), Not(q_8_9)),\n",
       "         Or(Not(q_8_6), Not(q_8_10)),\n",
       "         Or(Not(q_8_6), Not(q_8_11)),\n",
       "         Or(Not(q_8_6), Not(q_8_12)),\n",
       "         Or(Not(q_8_6), Not(q_8_13)),\n",
       "         Or(Not(q_8_6), Not(q_8_14)),\n",
       "         Or(Not(q_8_7), Not(q_8_8)),\n",
       "         Or(Not(q_8_7), Not(q_8_9)),\n",
       "         Or(Not(q_8_7), Not(q_8_10)),\n",
       "         Or(Not(q_8_7), Not(q_8_11)),\n",
       "         Or(Not(q_8_7), Not(q_8_12)),\n",
       "         Or(Not(q_8_7), Not(q_8_13)),\n",
       "         Or(Not(q_8_7), Not(q_8_14)),\n",
       "         Or(Not(q_8_8), Not(q_8_9)),\n",
       "         Or(Not(q_8_8), Not(q_8_10)),\n",
       "         Or(Not(q_8_8), Not(q_8_11)),\n",
       "         Or(Not(q_8_8), Not(q_8_12)),\n",
       "         Or(Not(q_8_8), Not(q_8_13)),\n",
       "         Or(Not(q_8_8), Not(q_8_14)),\n",
       "         Or(Not(q_8_9), Not(q_8_10)),\n",
       "         Or(Not(q_8_9), Not(q_8_11)),\n",
       "         Or(Not(q_8_9), Not(q_8_12)),\n",
       "         Or(Not(q_8_9), Not(q_8_13)),\n",
       "         Or(Not(q_8_9), Not(q_8_14)),\n",
       "         Or(Not(q_8_10), Not(q_8_11)),\n",
       "         Or(Not(q_8_10), Not(q_8_12)),\n",
       "         Or(Not(q_8_10), Not(q_8_13)),\n",
       "         Or(Not(q_8_10), Not(q_8_14)),\n",
       "         Or(Not(q_8_11), Not(q_8_12)),\n",
       "         Or(Not(q_8_11), Not(q_8_13)),\n",
       "         Or(Not(q_8_11), Not(q_8_14)),\n",
       "         Or(Not(q_8_12), Not(q_8_13)),\n",
       "         Or(Not(q_8_12), Not(q_8_14)),\n",
       "         Or(Not(q_8_13), Not(q_8_14))),\n",
       "     Or(q_8_0,\n",
       "        q_8_1,\n",
       "        q_8_2,\n",
       "        q_8_3,\n",
       "        q_8_4,\n",
       "        q_8_5,\n",
       "        q_8_6,\n",
       "        q_8_7,\n",
       "        q_8_8,\n",
       "        q_8_9,\n",
       "        q_8_10,\n",
       "        q_8_11,\n",
       "        q_8_12,\n",
       "        q_8_13,\n",
       "        q_8_14)), And(And(Or(Not(q_9_0), Not(q_9_1)),\n",
       "         Or(Not(q_9_0), Not(q_9_2)),\n",
       "         Or(Not(q_9_0), Not(q_9_3)),\n",
       "         Or(Not(q_9_0), Not(q_9_4)),\n",
       "         Or(Not(q_9_0), Not(q_9_5)),\n",
       "         Or(Not(q_9_0), Not(q_9_6)),\n",
       "         Or(Not(q_9_0), Not(q_9_7)),\n",
       "         Or(Not(q_9_0), Not(q_9_8)),\n",
       "         Or(Not(q_9_0), Not(q_9_9)),\n",
       "         Or(Not(q_9_0), Not(q_9_10)),\n",
       "         Or(Not(q_9_0), Not(q_9_11)),\n",
       "         Or(Not(q_9_0), Not(q_9_12)),\n",
       "         Or(Not(q_9_0), Not(q_9_13)),\n",
       "         Or(Not(q_9_0), Not(q_9_14)),\n",
       "         Or(Not(q_9_1), Not(q_9_2)),\n",
       "         Or(Not(q_9_1), Not(q_9_3)),\n",
       "         Or(Not(q_9_1), Not(q_9_4)),\n",
       "         Or(Not(q_9_1), Not(q_9_5)),\n",
       "         Or(Not(q_9_1), Not(q_9_6)),\n",
       "         Or(Not(q_9_1), Not(q_9_7)),\n",
       "         Or(Not(q_9_1), Not(q_9_8)),\n",
       "         Or(Not(q_9_1), Not(q_9_9)),\n",
       "         Or(Not(q_9_1), Not(q_9_10)),\n",
       "         Or(Not(q_9_1), Not(q_9_11)),\n",
       "         Or(Not(q_9_1), Not(q_9_12)),\n",
       "         Or(Not(q_9_1), Not(q_9_13)),\n",
       "         Or(Not(q_9_1), Not(q_9_14)),\n",
       "         Or(Not(q_9_2), Not(q_9_3)),\n",
       "         Or(Not(q_9_2), Not(q_9_4)),\n",
       "         Or(Not(q_9_2), Not(q_9_5)),\n",
       "         Or(Not(q_9_2), Not(q_9_6)),\n",
       "         Or(Not(q_9_2), Not(q_9_7)),\n",
       "         Or(Not(q_9_2), Not(q_9_8)),\n",
       "         Or(Not(q_9_2), Not(q_9_9)),\n",
       "         Or(Not(q_9_2), Not(q_9_10)),\n",
       "         Or(Not(q_9_2), Not(q_9_11)),\n",
       "         Or(Not(q_9_2), Not(q_9_12)),\n",
       "         Or(Not(q_9_2), Not(q_9_13)),\n",
       "         Or(Not(q_9_2), Not(q_9_14)),\n",
       "         Or(Not(q_9_3), Not(q_9_4)),\n",
       "         Or(Not(q_9_3), Not(q_9_5)),\n",
       "         Or(Not(q_9_3), Not(q_9_6)),\n",
       "         Or(Not(q_9_3), Not(q_9_7)),\n",
       "         Or(Not(q_9_3), Not(q_9_8)),\n",
       "         Or(Not(q_9_3), Not(q_9_9)),\n",
       "         Or(Not(q_9_3), Not(q_9_10)),\n",
       "         Or(Not(q_9_3), Not(q_9_11)),\n",
       "         Or(Not(q_9_3), Not(q_9_12)),\n",
       "         Or(Not(q_9_3), Not(q_9_13)),\n",
       "         Or(Not(q_9_3), Not(q_9_14)),\n",
       "         Or(Not(q_9_4), Not(q_9_5)),\n",
       "         Or(Not(q_9_4), Not(q_9_6)),\n",
       "         Or(Not(q_9_4), Not(q_9_7)),\n",
       "         Or(Not(q_9_4), Not(q_9_8)),\n",
       "         Or(Not(q_9_4), Not(q_9_9)),\n",
       "         Or(Not(q_9_4), Not(q_9_10)),\n",
       "         Or(Not(q_9_4), Not(q_9_11)),\n",
       "         Or(Not(q_9_4), Not(q_9_12)),\n",
       "         Or(Not(q_9_4), Not(q_9_13)),\n",
       "         Or(Not(q_9_4), Not(q_9_14)),\n",
       "         Or(Not(q_9_5), Not(q_9_6)),\n",
       "         Or(Not(q_9_5), Not(q_9_7)),\n",
       "         Or(Not(q_9_5), Not(q_9_8)),\n",
       "         Or(Not(q_9_5), Not(q_9_9)),\n",
       "         Or(Not(q_9_5), Not(q_9_10)),\n",
       "         Or(Not(q_9_5), Not(q_9_11)),\n",
       "         Or(Not(q_9_5), Not(q_9_12)),\n",
       "         Or(Not(q_9_5), Not(q_9_13)),\n",
       "         Or(Not(q_9_5), Not(q_9_14)),\n",
       "         Or(Not(q_9_6), Not(q_9_7)),\n",
       "         Or(Not(q_9_6), Not(q_9_8)),\n",
       "         Or(Not(q_9_6), Not(q_9_9)),\n",
       "         Or(Not(q_9_6), Not(q_9_10)),\n",
       "         Or(Not(q_9_6), Not(q_9_11)),\n",
       "         Or(Not(q_9_6), Not(q_9_12)),\n",
       "         Or(Not(q_9_6), Not(q_9_13)),\n",
       "         Or(Not(q_9_6), Not(q_9_14)),\n",
       "         Or(Not(q_9_7), Not(q_9_8)),\n",
       "         Or(Not(q_9_7), Not(q_9_9)),\n",
       "         Or(Not(q_9_7), Not(q_9_10)),\n",
       "         Or(Not(q_9_7), Not(q_9_11)),\n",
       "         Or(Not(q_9_7), Not(q_9_12)),\n",
       "         Or(Not(q_9_7), Not(q_9_13)),\n",
       "         Or(Not(q_9_7), Not(q_9_14)),\n",
       "         Or(Not(q_9_8), Not(q_9_9)),\n",
       "         Or(Not(q_9_8), Not(q_9_10)),\n",
       "         Or(Not(q_9_8), Not(q_9_11)),\n",
       "         Or(Not(q_9_8), Not(q_9_12)),\n",
       "         Or(Not(q_9_8), Not(q_9_13)),\n",
       "         Or(Not(q_9_8), Not(q_9_14)),\n",
       "         Or(Not(q_9_9), Not(q_9_10)),\n",
       "         Or(Not(q_9_9), Not(q_9_11)),\n",
       "         Or(Not(q_9_9), Not(q_9_12)),\n",
       "         Or(Not(q_9_9), Not(q_9_13)),\n",
       "         Or(Not(q_9_9), Not(q_9_14)),\n",
       "         Or(Not(q_9_10), Not(q_9_11)),\n",
       "         Or(Not(q_9_10), Not(q_9_12)),\n",
       "         Or(Not(q_9_10), Not(q_9_13)),\n",
       "         Or(Not(q_9_10), Not(q_9_14)),\n",
       "         Or(Not(q_9_11), Not(q_9_12)),\n",
       "         Or(Not(q_9_11), Not(q_9_13)),\n",
       "         Or(Not(q_9_11), Not(q_9_14)),\n",
       "         Or(Not(q_9_12), Not(q_9_13)),\n",
       "         Or(Not(q_9_12), Not(q_9_14)),\n",
       "         Or(Not(q_9_13), Not(q_9_14))),\n",
       "     Or(q_9_0,\n",
       "        q_9_1,\n",
       "        q_9_2,\n",
       "        q_9_3,\n",
       "        q_9_4,\n",
       "        q_9_5,\n",
       "        q_9_6,\n",
       "        q_9_7,\n",
       "        q_9_8,\n",
       "        q_9_9,\n",
       "        q_9_10,\n",
       "        q_9_11,\n",
       "        q_9_12,\n",
       "        q_9_13,\n",
       "        q_9_14)), And(And(Or(Not(q_10_0), Not(q_10_1)),\n",
       "         Or(Not(q_10_0), Not(q_10_2)),\n",
       "         Or(Not(q_10_0), Not(q_10_3)),\n",
       "         Or(Not(q_10_0), Not(q_10_4)),\n",
       "         Or(Not(q_10_0), Not(q_10_5)),\n",
       "         Or(Not(q_10_0), Not(q_10_6)),\n",
       "         Or(Not(q_10_0), Not(q_10_7)),\n",
       "         Or(Not(q_10_0), Not(q_10_8)),\n",
       "         Or(Not(q_10_0), Not(q_10_9)),\n",
       "         Or(Not(q_10_0), Not(q_10_10)),\n",
       "         Or(Not(q_10_0), Not(q_10_11)),\n",
       "         Or(Not(q_10_0), Not(q_10_12)),\n",
       "         Or(Not(q_10_0), Not(q_10_13)),\n",
       "         Or(Not(q_10_0), Not(q_10_14)),\n",
       "         Or(Not(q_10_1), Not(q_10_2)),\n",
       "         Or(Not(q_10_1), Not(q_10_3)),\n",
       "         Or(Not(q_10_1), Not(q_10_4)),\n",
       "         Or(Not(q_10_1), Not(q_10_5)),\n",
       "         Or(Not(q_10_1), Not(q_10_6)),\n",
       "         Or(Not(q_10_1), Not(q_10_7)),\n",
       "         Or(Not(q_10_1), Not(q_10_8)),\n",
       "         Or(Not(q_10_1), Not(q_10_9)),\n",
       "         Or(Not(q_10_1), Not(q_10_10)),\n",
       "         Or(Not(q_10_1), Not(q_10_11)),\n",
       "         Or(Not(q_10_1), Not(q_10_12)),\n",
       "         Or(Not(q_10_1), Not(q_10_13)),\n",
       "         Or(Not(q_10_1), Not(q_10_14)),\n",
       "         Or(Not(q_10_2), Not(q_10_3)),\n",
       "         Or(Not(q_10_2), Not(q_10_4)),\n",
       "         Or(Not(q_10_2), Not(q_10_5)),\n",
       "         Or(Not(q_10_2), Not(q_10_6)),\n",
       "         Or(Not(q_10_2), Not(q_10_7)),\n",
       "         Or(Not(q_10_2), Not(q_10_8)),\n",
       "         Or(Not(q_10_2), Not(q_10_9)),\n",
       "         Or(Not(q_10_2), Not(q_10_10)),\n",
       "         Or(Not(q_10_2), Not(q_10_11)),\n",
       "         Or(Not(q_10_2), Not(q_10_12)),\n",
       "         Or(Not(q_10_2), Not(q_10_13)),\n",
       "         Or(Not(q_10_2), Not(q_10_14)),\n",
       "         Or(Not(q_10_3), Not(q_10_4)),\n",
       "         Or(Not(q_10_3), Not(q_10_5)),\n",
       "         Or(Not(q_10_3), Not(q_10_6)),\n",
       "         Or(Not(q_10_3), Not(q_10_7)),\n",
       "         Or(Not(q_10_3), Not(q_10_8)),\n",
       "         Or(Not(q_10_3), Not(q_10_9)),\n",
       "         Or(Not(q_10_3), Not(q_10_10)),\n",
       "         Or(Not(q_10_3), Not(q_10_11)),\n",
       "         Or(Not(q_10_3), Not(q_10_12)),\n",
       "         Or(Not(q_10_3), Not(q_10_13)),\n",
       "         Or(Not(q_10_3), Not(q_10_14)),\n",
       "         Or(Not(q_10_4), Not(q_10_5)),\n",
       "         Or(Not(q_10_4), Not(q_10_6)),\n",
       "         Or(Not(q_10_4), Not(q_10_7)),\n",
       "         Or(Not(q_10_4), Not(q_10_8)),\n",
       "         Or(Not(q_10_4), Not(q_10_9)),\n",
       "         Or(Not(q_10_4), Not(q_10_10)),\n",
       "         Or(Not(q_10_4), Not(q_10_11)),\n",
       "         Or(Not(q_10_4), Not(q_10_12)),\n",
       "         Or(Not(q_10_4), Not(q_10_13)),\n",
       "         Or(Not(q_10_4), Not(q_10_14)),\n",
       "         Or(Not(q_10_5), Not(q_10_6)),\n",
       "         Or(Not(q_10_5), Not(q_10_7)),\n",
       "         Or(Not(q_10_5), Not(q_10_8)),\n",
       "         Or(Not(q_10_5), Not(q_10_9)),\n",
       "         Or(Not(q_10_5), Not(q_10_10)),\n",
       "         Or(Not(q_10_5), Not(q_10_11)),\n",
       "         Or(Not(q_10_5), Not(q_10_12)),\n",
       "         Or(Not(q_10_5), Not(q_10_13)),\n",
       "         Or(Not(q_10_5), Not(q_10_14)),\n",
       "         Or(Not(q_10_6), Not(q_10_7)),\n",
       "         Or(Not(q_10_6), Not(q_10_8)),\n",
       "         Or(Not(q_10_6), Not(q_10_9)),\n",
       "         Or(Not(q_10_6), Not(q_10_10)),\n",
       "         Or(Not(q_10_6), Not(q_10_11)),\n",
       "         Or(Not(q_10_6), Not(q_10_12)),\n",
       "         Or(Not(q_10_6), Not(q_10_13)),\n",
       "         Or(Not(q_10_6), Not(q_10_14)),\n",
       "         Or(Not(q_10_7), Not(q_10_8)),\n",
       "         Or(Not(q_10_7), Not(q_10_9)),\n",
       "         Or(Not(q_10_7), Not(q_10_10)),\n",
       "         Or(Not(q_10_7), Not(q_10_11)),\n",
       "         Or(Not(q_10_7), Not(q_10_12)),\n",
       "         Or(Not(q_10_7), Not(q_10_13)),\n",
       "         Or(Not(q_10_7), Not(q_10_14)),\n",
       "         Or(Not(q_10_8), Not(q_10_9)),\n",
       "         Or(Not(q_10_8), Not(q_10_10)),\n",
       "         Or(Not(q_10_8), Not(q_10_11)),\n",
       "         Or(Not(q_10_8), Not(q_10_12)),\n",
       "         Or(Not(q_10_8), Not(q_10_13)),\n",
       "         Or(Not(q_10_8), Not(q_10_14)),\n",
       "         Or(Not(q_10_9), Not(q_10_10)),\n",
       "         Or(Not(q_10_9), Not(q_10_11)),\n",
       "         Or(Not(q_10_9), Not(q_10_12)),\n",
       "         Or(Not(q_10_9), Not(q_10_13)),\n",
       "         Or(Not(q_10_9), Not(q_10_14)),\n",
       "         Or(Not(q_10_10), Not(q_10_11)),\n",
       "         Or(Not(q_10_10), Not(q_10_12)),\n",
       "         Or(Not(q_10_10), Not(q_10_13)),\n",
       "         Or(Not(q_10_10), Not(q_10_14)),\n",
       "         Or(Not(q_10_11), Not(q_10_12)),\n",
       "         Or(Not(q_10_11), Not(q_10_13)),\n",
       "         Or(Not(q_10_11), Not(q_10_14)),\n",
       "         Or(Not(q_10_12), Not(q_10_13)),\n",
       "         Or(Not(q_10_12), Not(q_10_14)),\n",
       "         Or(Not(q_10_13), Not(q_10_14))),\n",
       "     Or(q_10_0,\n",
       "        q_10_1,\n",
       "        q_10_2,\n",
       "        q_10_3,\n",
       "        q_10_4,\n",
       "        q_10_5,\n",
       "        q_10_6,\n",
       "        q_10_7,\n",
       "        q_10_8,\n",
       "        q_10_9,\n",
       "        q_10_10,\n",
       "        q_10_11,\n",
       "        q_10_12,\n",
       "        q_10_13,\n",
       "        q_10_14)), And(And(Or(Not(q_11_0), Not(q_11_1)),\n",
       "         Or(Not(q_11_0), Not(q_11_2)),\n",
       "         Or(Not(q_11_0), Not(q_11_3)),\n",
       "         Or(Not(q_11_0), Not(q_11_4)),\n",
       "         Or(Not(q_11_0), Not(q_11_5)),\n",
       "         Or(Not(q_11_0), Not(q_11_6)),\n",
       "         Or(Not(q_11_0), Not(q_11_7)),\n",
       "         Or(Not(q_11_0), Not(q_11_8)),\n",
       "         Or(Not(q_11_0), Not(q_11_9)),\n",
       "         Or(Not(q_11_0), Not(q_11_10)),\n",
       "         Or(Not(q_11_0), Not(q_11_11)),\n",
       "         Or(Not(q_11_0), Not(q_11_12)),\n",
       "         Or(Not(q_11_0), Not(q_11_13)),\n",
       "         Or(Not(q_11_0), Not(q_11_14)),\n",
       "         Or(Not(q_11_1), Not(q_11_2)),\n",
       "         Or(Not(q_11_1), Not(q_11_3)),\n",
       "         Or(Not(q_11_1), Not(q_11_4)),\n",
       "         Or(Not(q_11_1), Not(q_11_5)),\n",
       "         Or(Not(q_11_1), Not(q_11_6)),\n",
       "         Or(Not(q_11_1), Not(q_11_7)),\n",
       "         Or(Not(q_11_1), Not(q_11_8)),\n",
       "         Or(Not(q_11_1), Not(q_11_9)),\n",
       "         Or(Not(q_11_1), Not(q_11_10)),\n",
       "         Or(Not(q_11_1), Not(q_11_11)),\n",
       "         Or(Not(q_11_1), Not(q_11_12)),\n",
       "         Or(Not(q_11_1), Not(q_11_13)),\n",
       "         Or(Not(q_11_1), Not(q_11_14)),\n",
       "         Or(Not(q_11_2), Not(q_11_3)),\n",
       "         Or(Not(q_11_2), Not(q_11_4)),\n",
       "         Or(Not(q_11_2), Not(q_11_5)),\n",
       "         Or(Not(q_11_2), Not(q_11_6)),\n",
       "         Or(Not(q_11_2), Not(q_11_7)),\n",
       "         Or(Not(q_11_2), Not(q_11_8)),\n",
       "         Or(Not(q_11_2), Not(q_11_9)),\n",
       "         Or(Not(q_11_2), Not(q_11_10)),\n",
       "         Or(Not(q_11_2), Not(q_11_11)),\n",
       "         Or(Not(q_11_2), Not(q_11_12)),\n",
       "         Or(Not(q_11_2), Not(q_11_13)),\n",
       "         Or(Not(q_11_2), Not(q_11_14)),\n",
       "         Or(Not(q_11_3), Not(q_11_4)),\n",
       "         Or(Not(q_11_3), Not(q_11_5)),\n",
       "         Or(Not(q_11_3), Not(q_11_6)),\n",
       "         Or(Not(q_11_3), Not(q_11_7)),\n",
       "         Or(Not(q_11_3), Not(q_11_8)),\n",
       "         Or(Not(q_11_3), Not(q_11_9)),\n",
       "         Or(Not(q_11_3), Not(q_11_10)),\n",
       "         Or(Not(q_11_3), Not(q_11_11)),\n",
       "         Or(Not(q_11_3), Not(q_11_12)),\n",
       "         Or(Not(q_11_3), Not(q_11_13)),\n",
       "         Or(Not(q_11_3), Not(q_11_14)),\n",
       "         Or(Not(q_11_4), Not(q_11_5)),\n",
       "         Or(Not(q_11_4), Not(q_11_6)),\n",
       "         Or(Not(q_11_4), Not(q_11_7)),\n",
       "         Or(Not(q_11_4), Not(q_11_8)),\n",
       "         Or(Not(q_11_4), Not(q_11_9)),\n",
       "         Or(Not(q_11_4), Not(q_11_10)),\n",
       "         Or(Not(q_11_4), Not(q_11_11)),\n",
       "         Or(Not(q_11_4), Not(q_11_12)),\n",
       "         Or(Not(q_11_4), Not(q_11_13)),\n",
       "         Or(Not(q_11_4), Not(q_11_14)),\n",
       "         Or(Not(q_11_5), Not(q_11_6)),\n",
       "         Or(Not(q_11_5), Not(q_11_7)),\n",
       "         Or(Not(q_11_5), Not(q_11_8)),\n",
       "         Or(Not(q_11_5), Not(q_11_9)),\n",
       "         Or(Not(q_11_5), Not(q_11_10)),\n",
       "         Or(Not(q_11_5), Not(q_11_11)),\n",
       "         Or(Not(q_11_5), Not(q_11_12)),\n",
       "         Or(Not(q_11_5), Not(q_11_13)),\n",
       "         Or(Not(q_11_5), Not(q_11_14)),\n",
       "         Or(Not(q_11_6), Not(q_11_7)),\n",
       "         Or(Not(q_11_6), Not(q_11_8)),\n",
       "         Or(Not(q_11_6), Not(q_11_9)),\n",
       "         Or(Not(q_11_6), Not(q_11_10)),\n",
       "         Or(Not(q_11_6), Not(q_11_11)),\n",
       "         Or(Not(q_11_6), Not(q_11_12)),\n",
       "         Or(Not(q_11_6), Not(q_11_13)),\n",
       "         Or(Not(q_11_6), Not(q_11_14)),\n",
       "         Or(Not(q_11_7), Not(q_11_8)),\n",
       "         Or(Not(q_11_7), Not(q_11_9)),\n",
       "         Or(Not(q_11_7), Not(q_11_10)),\n",
       "         Or(Not(q_11_7), Not(q_11_11)),\n",
       "         Or(Not(q_11_7), Not(q_11_12)),\n",
       "         Or(Not(q_11_7), Not(q_11_13)),\n",
       "         Or(Not(q_11_7), Not(q_11_14)),\n",
       "         Or(Not(q_11_8), Not(q_11_9)),\n",
       "         Or(Not(q_11_8), Not(q_11_10)),\n",
       "         Or(Not(q_11_8), Not(q_11_11)),\n",
       "         Or(Not(q_11_8), Not(q_11_12)),\n",
       "         Or(Not(q_11_8), Not(q_11_13)),\n",
       "         Or(Not(q_11_8), Not(q_11_14)),\n",
       "         Or(Not(q_11_9), Not(q_11_10)),\n",
       "         Or(Not(q_11_9), Not(q_11_11)),\n",
       "         Or(Not(q_11_9), Not(q_11_12)),\n",
       "         Or(Not(q_11_9), Not(q_11_13)),\n",
       "         Or(Not(q_11_9), Not(q_11_14)),\n",
       "         Or(Not(q_11_10), Not(q_11_11)),\n",
       "         Or(Not(q_11_10), Not(q_11_12)),\n",
       "         Or(Not(q_11_10), Not(q_11_13)),\n",
       "         Or(Not(q_11_10), Not(q_11_14)),\n",
       "         Or(Not(q_11_11), Not(q_11_12)),\n",
       "         Or(Not(q_11_11), Not(q_11_13)),\n",
       "         Or(Not(q_11_11), Not(q_11_14)),\n",
       "         Or(Not(q_11_12), Not(q_11_13)),\n",
       "         Or(Not(q_11_12), Not(q_11_14)),\n",
       "         Or(Not(q_11_13), Not(q_11_14))),\n",
       "     Or(q_11_0,\n",
       "        q_11_1,\n",
       "        q_11_2,\n",
       "        q_11_3,\n",
       "        q_11_4,\n",
       "        q_11_5,\n",
       "        q_11_6,\n",
       "        q_11_7,\n",
       "        q_11_8,\n",
       "        q_11_9,\n",
       "        q_11_10,\n",
       "        q_11_11,\n",
       "        q_11_12,\n",
       "        q_11_13,\n",
       "        q_11_14)), And(And(Or(Not(q_12_0), Not(q_12_1)),\n",
       "         Or(Not(q_12_0), Not(q_12_2)),\n",
       "         Or(Not(q_12_0), Not(q_12_3)),\n",
       "         Or(Not(q_12_0), Not(q_12_4)),\n",
       "         Or(Not(q_12_0), Not(q_12_5)),\n",
       "         Or(Not(q_12_0), Not(q_12_6)),\n",
       "         Or(Not(q_12_0), Not(q_12_7)),\n",
       "         Or(Not(q_12_0), Not(q_12_8)),\n",
       "         Or(Not(q_12_0), Not(q_12_9)),\n",
       "         Or(Not(q_12_0), Not(q_12_10)),\n",
       "         Or(Not(q_12_0), Not(q_12_11)),\n",
       "         Or(Not(q_12_0), Not(q_12_12)),\n",
       "         Or(Not(q_12_0), Not(q_12_13)),\n",
       "         Or(Not(q_12_0), Not(q_12_14)),\n",
       "         Or(Not(q_12_1), Not(q_12_2)),\n",
       "         Or(Not(q_12_1), Not(q_12_3)),\n",
       "         Or(Not(q_12_1), Not(q_12_4)),\n",
       "         Or(Not(q_12_1), Not(q_12_5)),\n",
       "         Or(Not(q_12_1), Not(q_12_6)),\n",
       "         Or(Not(q_12_1), Not(q_12_7)),\n",
       "         Or(Not(q_12_1), Not(q_12_8)),\n",
       "         Or(Not(q_12_1), Not(q_12_9)),\n",
       "         Or(Not(q_12_1), Not(q_12_10)),\n",
       "         Or(Not(q_12_1), Not(q_12_11)),\n",
       "         Or(Not(q_12_1), Not(q_12_12)),\n",
       "         Or(Not(q_12_1), Not(q_12_13)),\n",
       "         Or(Not(q_12_1), Not(q_12_14)),\n",
       "         Or(Not(q_12_2), Not(q_12_3)),\n",
       "         Or(Not(q_12_2), Not(q_12_4)),\n",
       "         Or(Not(q_12_2), Not(q_12_5)),\n",
       "         Or(Not(q_12_2), Not(q_12_6)),\n",
       "         Or(Not(q_12_2), Not(q_12_7)),\n",
       "         Or(Not(q_12_2), Not(q_12_8)),\n",
       "         Or(Not(q_12_2), Not(q_12_9)),\n",
       "         Or(Not(q_12_2), Not(q_12_10)),\n",
       "         Or(Not(q_12_2), Not(q_12_11)),\n",
       "         Or(Not(q_12_2), Not(q_12_12)),\n",
       "         Or(Not(q_12_2), Not(q_12_13)),\n",
       "         Or(Not(q_12_2), Not(q_12_14)),\n",
       "         Or(Not(q_12_3), Not(q_12_4)),\n",
       "         Or(Not(q_12_3), Not(q_12_5)),\n",
       "         Or(Not(q_12_3), Not(q_12_6)),\n",
       "         Or(Not(q_12_3), Not(q_12_7)),\n",
       "         Or(Not(q_12_3), Not(q_12_8)),\n",
       "         Or(Not(q_12_3), Not(q_12_9)),\n",
       "         Or(Not(q_12_3), Not(q_12_10)),\n",
       "         Or(Not(q_12_3), Not(q_12_11)),\n",
       "         Or(Not(q_12_3), Not(q_12_12)),\n",
       "         Or(Not(q_12_3), Not(q_12_13)),\n",
       "         Or(Not(q_12_3), Not(q_12_14)),\n",
       "         Or(Not(q_12_4), Not(q_12_5)),\n",
       "         Or(Not(q_12_4), Not(q_12_6)),\n",
       "         Or(Not(q_12_4), Not(q_12_7)),\n",
       "         Or(Not(q_12_4), Not(q_12_8)),\n",
       "         Or(Not(q_12_4), Not(q_12_9)),\n",
       "         Or(Not(q_12_4), Not(q_12_10)),\n",
       "         Or(Not(q_12_4), Not(q_12_11)),\n",
       "         Or(Not(q_12_4), Not(q_12_12)),\n",
       "         Or(Not(q_12_4), Not(q_12_13)),\n",
       "         Or(Not(q_12_4), Not(q_12_14)),\n",
       "         Or(Not(q_12_5), Not(q_12_6)),\n",
       "         Or(Not(q_12_5), Not(q_12_7)),\n",
       "         Or(Not(q_12_5), Not(q_12_8)),\n",
       "         Or(Not(q_12_5), Not(q_12_9)),\n",
       "         Or(Not(q_12_5), Not(q_12_10)),\n",
       "         Or(Not(q_12_5), Not(q_12_11)),\n",
       "         Or(Not(q_12_5), Not(q_12_12)),\n",
       "         Or(Not(q_12_5), Not(q_12_13)),\n",
       "         Or(Not(q_12_5), Not(q_12_14)),\n",
       "         Or(Not(q_12_6), Not(q_12_7)),\n",
       "         Or(Not(q_12_6), Not(q_12_8)),\n",
       "         Or(Not(q_12_6), Not(q_12_9)),\n",
       "         Or(Not(q_12_6), Not(q_12_10)),\n",
       "         Or(Not(q_12_6), Not(q_12_11)),\n",
       "         Or(Not(q_12_6), Not(q_12_12)),\n",
       "         Or(Not(q_12_6), Not(q_12_13)),\n",
       "         Or(Not(q_12_6), Not(q_12_14)),\n",
       "         Or(Not(q_12_7), Not(q_12_8)),\n",
       "         Or(Not(q_12_7), Not(q_12_9)),\n",
       "         Or(Not(q_12_7), Not(q_12_10)),\n",
       "         Or(Not(q_12_7), Not(q_12_11)),\n",
       "         Or(Not(q_12_7), Not(q_12_12)),\n",
       "         Or(Not(q_12_7), Not(q_12_13)),\n",
       "         Or(Not(q_12_7), Not(q_12_14)),\n",
       "         Or(Not(q_12_8), Not(q_12_9)),\n",
       "         Or(Not(q_12_8), Not(q_12_10)),\n",
       "         Or(Not(q_12_8), Not(q_12_11)),\n",
       "         Or(Not(q_12_8), Not(q_12_12)),\n",
       "         Or(Not(q_12_8), Not(q_12_13)),\n",
       "         Or(Not(q_12_8), Not(q_12_14)),\n",
       "         Or(Not(q_12_9), Not(q_12_10)),\n",
       "         Or(Not(q_12_9), Not(q_12_11)),\n",
       "         Or(Not(q_12_9), Not(q_12_12)),\n",
       "         Or(Not(q_12_9), Not(q_12_13)),\n",
       "         Or(Not(q_12_9), Not(q_12_14)),\n",
       "         Or(Not(q_12_10), Not(q_12_11)),\n",
       "         Or(Not(q_12_10), Not(q_12_12)),\n",
       "         Or(Not(q_12_10), Not(q_12_13)),\n",
       "         Or(Not(q_12_10), Not(q_12_14)),\n",
       "         Or(Not(q_12_11), Not(q_12_12)),\n",
       "         Or(Not(q_12_11), Not(q_12_13)),\n",
       "         Or(Not(q_12_11), Not(q_12_14)),\n",
       "         Or(Not(q_12_12), Not(q_12_13)),\n",
       "         Or(Not(q_12_12), Not(q_12_14)),\n",
       "         Or(Not(q_12_13), Not(q_12_14))),\n",
       "     Or(q_12_0,\n",
       "        q_12_1,\n",
       "        q_12_2,\n",
       "        q_12_3,\n",
       "        q_12_4,\n",
       "        q_12_5,\n",
       "        q_12_6,\n",
       "        q_12_7,\n",
       "        q_12_8,\n",
       "        q_12_9,\n",
       "        q_12_10,\n",
       "        q_12_11,\n",
       "        q_12_12,\n",
       "        q_12_13,\n",
       "        q_12_14)), And(And(Or(Not(q_13_0), Not(q_13_1)),\n",
       "         Or(Not(q_13_0), Not(q_13_2)),\n",
       "         Or(Not(q_13_0), Not(q_13_3)),\n",
       "         Or(Not(q_13_0), Not(q_13_4)),\n",
       "         Or(Not(q_13_0), Not(q_13_5)),\n",
       "         Or(Not(q_13_0), Not(q_13_6)),\n",
       "         Or(Not(q_13_0), Not(q_13_7)),\n",
       "         Or(Not(q_13_0), Not(q_13_8)),\n",
       "         Or(Not(q_13_0), Not(q_13_9)),\n",
       "         Or(Not(q_13_0), Not(q_13_10)),\n",
       "         Or(Not(q_13_0), Not(q_13_11)),\n",
       "         Or(Not(q_13_0), Not(q_13_12)),\n",
       "         Or(Not(q_13_0), Not(q_13_13)),\n",
       "         Or(Not(q_13_0), Not(q_13_14)),\n",
       "         Or(Not(q_13_1), Not(q_13_2)),\n",
       "         Or(Not(q_13_1), Not(q_13_3)),\n",
       "         Or(Not(q_13_1), Not(q_13_4)),\n",
       "         Or(Not(q_13_1), Not(q_13_5)),\n",
       "         Or(Not(q_13_1), Not(q_13_6)),\n",
       "         Or(Not(q_13_1), Not(q_13_7)),\n",
       "         Or(Not(q_13_1), Not(q_13_8)),\n",
       "         Or(Not(q_13_1), Not(q_13_9)),\n",
       "         Or(Not(q_13_1), Not(q_13_10)),\n",
       "         Or(Not(q_13_1), Not(q_13_11)),\n",
       "         Or(Not(q_13_1), Not(q_13_12)),\n",
       "         Or(Not(q_13_1), Not(q_13_13)),\n",
       "         Or(Not(q_13_1), Not(q_13_14)),\n",
       "         Or(Not(q_13_2), Not(q_13_3)),\n",
       "         Or(Not(q_13_2), Not(q_13_4)),\n",
       "         Or(Not(q_13_2), Not(q_13_5)),\n",
       "         Or(Not(q_13_2), Not(q_13_6)),\n",
       "         Or(Not(q_13_2), Not(q_13_7)),\n",
       "         Or(Not(q_13_2), Not(q_13_8)),\n",
       "         Or(Not(q_13_2), Not(q_13_9)),\n",
       "         Or(Not(q_13_2), Not(q_13_10)),\n",
       "         Or(Not(q_13_2), Not(q_13_11)),\n",
       "         Or(Not(q_13_2), Not(q_13_12)),\n",
       "         Or(Not(q_13_2), Not(q_13_13)),\n",
       "         Or(Not(q_13_2), Not(q_13_14)),\n",
       "         Or(Not(q_13_3), Not(q_13_4)),\n",
       "         Or(Not(q_13_3), Not(q_13_5)),\n",
       "         Or(Not(q_13_3), Not(q_13_6)),\n",
       "         Or(Not(q_13_3), Not(q_13_7)),\n",
       "         Or(Not(q_13_3), Not(q_13_8)),\n",
       "         Or(Not(q_13_3), Not(q_13_9)),\n",
       "         Or(Not(q_13_3), Not(q_13_10)),\n",
       "         Or(Not(q_13_3), Not(q_13_11)),\n",
       "         Or(Not(q_13_3), Not(q_13_12)),\n",
       "         Or(Not(q_13_3), Not(q_13_13)),\n",
       "         Or(Not(q_13_3), Not(q_13_14)),\n",
       "         Or(Not(q_13_4), Not(q_13_5)),\n",
       "         Or(Not(q_13_4), Not(q_13_6)),\n",
       "         Or(Not(q_13_4), Not(q_13_7)),\n",
       "         Or(Not(q_13_4), Not(q_13_8)),\n",
       "         Or(Not(q_13_4), Not(q_13_9)),\n",
       "         Or(Not(q_13_4), Not(q_13_10)),\n",
       "         Or(Not(q_13_4), Not(q_13_11)),\n",
       "         Or(Not(q_13_4), Not(q_13_12)),\n",
       "         Or(Not(q_13_4), Not(q_13_13)),\n",
       "         Or(Not(q_13_4), Not(q_13_14)),\n",
       "         Or(Not(q_13_5), Not(q_13_6)),\n",
       "         Or(Not(q_13_5), Not(q_13_7)),\n",
       "         Or(Not(q_13_5), Not(q_13_8)),\n",
       "         Or(Not(q_13_5), Not(q_13_9)),\n",
       "         Or(Not(q_13_5), Not(q_13_10)),\n",
       "         Or(Not(q_13_5), Not(q_13_11)),\n",
       "         Or(Not(q_13_5), Not(q_13_12)),\n",
       "         Or(Not(q_13_5), Not(q_13_13)),\n",
       "         Or(Not(q_13_5), Not(q_13_14)),\n",
       "         Or(Not(q_13_6), Not(q_13_7)),\n",
       "         Or(Not(q_13_6), Not(q_13_8)),\n",
       "         Or(Not(q_13_6), Not(q_13_9)),\n",
       "         Or(Not(q_13_6), Not(q_13_10)),\n",
       "         Or(Not(q_13_6), Not(q_13_11)),\n",
       "         Or(Not(q_13_6), Not(q_13_12)),\n",
       "         Or(Not(q_13_6), Not(q_13_13)),\n",
       "         Or(Not(q_13_6), Not(q_13_14)),\n",
       "         Or(Not(q_13_7), Not(q_13_8)),\n",
       "         Or(Not(q_13_7), Not(q_13_9)),\n",
       "         Or(Not(q_13_7), Not(q_13_10)),\n",
       "         Or(Not(q_13_7), Not(q_13_11)),\n",
       "         Or(Not(q_13_7), Not(q_13_12)),\n",
       "         Or(Not(q_13_7), Not(q_13_13)),\n",
       "         Or(Not(q_13_7), Not(q_13_14)),\n",
       "         Or(Not(q_13_8), Not(q_13_9)),\n",
       "         Or(Not(q_13_8), Not(q_13_10)),\n",
       "         Or(Not(q_13_8), Not(q_13_11)),\n",
       "         Or(Not(q_13_8), Not(q_13_12)),\n",
       "         Or(Not(q_13_8), Not(q_13_13)),\n",
       "         Or(Not(q_13_8), Not(q_13_14)),\n",
       "         Or(Not(q_13_9), Not(q_13_10)),\n",
       "         Or(Not(q_13_9), Not(q_13_11)),\n",
       "         Or(Not(q_13_9), Not(q_13_12)),\n",
       "         Or(Not(q_13_9), Not(q_13_13)),\n",
       "         Or(Not(q_13_9), Not(q_13_14)),\n",
       "         Or(Not(q_13_10), Not(q_13_11)),\n",
       "         Or(Not(q_13_10), Not(q_13_12)),\n",
       "         Or(Not(q_13_10), Not(q_13_13)),\n",
       "         Or(Not(q_13_10), Not(q_13_14)),\n",
       "         Or(Not(q_13_11), Not(q_13_12)),\n",
       "         Or(Not(q_13_11), Not(q_13_13)),\n",
       "         Or(Not(q_13_11), Not(q_13_14)),\n",
       "         Or(Not(q_13_12), Not(q_13_13)),\n",
       "         Or(Not(q_13_12), Not(q_13_14)),\n",
       "         Or(Not(q_13_13), Not(q_13_14))),\n",
       "     Or(q_13_0,\n",
       "        q_13_1,\n",
       "        q_13_2,\n",
       "        q_13_3,\n",
       "        q_13_4,\n",
       "        q_13_5,\n",
       "        q_13_6,\n",
       "        q_13_7,\n",
       "        q_13_8,\n",
       "        q_13_9,\n",
       "        q_13_10,\n",
       "        q_13_11,\n",
       "        q_13_12,\n",
       "        q_13_13,\n",
       "        q_13_14)), And(And(Or(Not(q_14_0), Not(q_14_1)),\n",
       "         Or(Not(q_14_0), Not(q_14_2)),\n",
       "         Or(Not(q_14_0), Not(q_14_3)),\n",
       "         Or(Not(q_14_0), Not(q_14_4)),\n",
       "         Or(Not(q_14_0), Not(q_14_5)),\n",
       "         Or(Not(q_14_0), Not(q_14_6)),\n",
       "         Or(Not(q_14_0), Not(q_14_7)),\n",
       "         Or(Not(q_14_0), Not(q_14_8)),\n",
       "         Or(Not(q_14_0), Not(q_14_9)),\n",
       "         Or(Not(q_14_0), Not(q_14_10)),\n",
       "         Or(Not(q_14_0), Not(q_14_11)),\n",
       "         Or(Not(q_14_0), Not(q_14_12)),\n",
       "         Or(Not(q_14_0), Not(q_14_13)),\n",
       "         Or(Not(q_14_0), Not(q_14_14)),\n",
       "         Or(Not(q_14_1), Not(q_14_2)),\n",
       "         Or(Not(q_14_1), Not(q_14_3)),\n",
       "         Or(Not(q_14_1), Not(q_14_4)),\n",
       "         Or(Not(q_14_1), Not(q_14_5)),\n",
       "         Or(Not(q_14_1), Not(q_14_6)),\n",
       "         Or(Not(q_14_1), Not(q_14_7)),\n",
       "         Or(Not(q_14_1), Not(q_14_8)),\n",
       "         Or(Not(q_14_1), Not(q_14_9)),\n",
       "         Or(Not(q_14_1), Not(q_14_10)),\n",
       "         Or(Not(q_14_1), Not(q_14_11)),\n",
       "         Or(Not(q_14_1), Not(q_14_12)),\n",
       "         Or(Not(q_14_1), Not(q_14_13)),\n",
       "         Or(Not(q_14_1), Not(q_14_14)),\n",
       "         Or(Not(q_14_2), Not(q_14_3)),\n",
       "         Or(Not(q_14_2), Not(q_14_4)),\n",
       "         Or(Not(q_14_2), Not(q_14_5)),\n",
       "         Or(Not(q_14_2), Not(q_14_6)),\n",
       "         Or(Not(q_14_2), Not(q_14_7)),\n",
       "         Or(Not(q_14_2), Not(q_14_8)),\n",
       "         Or(Not(q_14_2), Not(q_14_9)),\n",
       "         Or(Not(q_14_2), Not(q_14_10)),\n",
       "         Or(Not(q_14_2), Not(q_14_11)),\n",
       "         Or(Not(q_14_2), Not(q_14_12)),\n",
       "         Or(Not(q_14_2), Not(q_14_13)),\n",
       "         Or(Not(q_14_2), Not(q_14_14)),\n",
       "         Or(Not(q_14_3), Not(q_14_4)),\n",
       "         Or(Not(q_14_3), Not(q_14_5)),\n",
       "         Or(Not(q_14_3), Not(q_14_6)),\n",
       "         Or(Not(q_14_3), Not(q_14_7)),\n",
       "         Or(Not(q_14_3), Not(q_14_8)),\n",
       "         Or(Not(q_14_3), Not(q_14_9)),\n",
       "         Or(Not(q_14_3), Not(q_14_10)),\n",
       "         Or(Not(q_14_3), Not(q_14_11)),\n",
       "         Or(Not(q_14_3), Not(q_14_12)),\n",
       "         Or(Not(q_14_3), Not(q_14_13)),\n",
       "         Or(Not(q_14_3), Not(q_14_14)),\n",
       "         Or(Not(q_14_4), Not(q_14_5)),\n",
       "         Or(Not(q_14_4), Not(q_14_6)),\n",
       "         Or(Not(q_14_4), Not(q_14_7)),\n",
       "         Or(Not(q_14_4), Not(q_14_8)),\n",
       "         Or(Not(q_14_4), Not(q_14_9)),\n",
       "         Or(Not(q_14_4), Not(q_14_10)),\n",
       "         Or(Not(q_14_4), Not(q_14_11)),\n",
       "         Or(Not(q_14_4), Not(q_14_12)),\n",
       "         Or(Not(q_14_4), Not(q_14_13)),\n",
       "         Or(Not(q_14_4), Not(q_14_14)),\n",
       "         Or(Not(q_14_5), Not(q_14_6)),\n",
       "         Or(Not(q_14_5), Not(q_14_7)),\n",
       "         Or(Not(q_14_5), Not(q_14_8)),\n",
       "         Or(Not(q_14_5), Not(q_14_9)),\n",
       "         Or(Not(q_14_5), Not(q_14_10)),\n",
       "         Or(Not(q_14_5), Not(q_14_11)),\n",
       "         Or(Not(q_14_5), Not(q_14_12)),\n",
       "         Or(Not(q_14_5), Not(q_14_13)),\n",
       "         Or(Not(q_14_5), Not(q_14_14)),\n",
       "         Or(Not(q_14_6), Not(q_14_7)),\n",
       "         Or(Not(q_14_6), Not(q_14_8)),\n",
       "         Or(Not(q_14_6), Not(q_14_9)),\n",
       "         Or(Not(q_14_6), Not(q_14_10)),\n",
       "         Or(Not(q_14_6), Not(q_14_11)),\n",
       "         Or(Not(q_14_6), Not(q_14_12)),\n",
       "         Or(Not(q_14_6), Not(q_14_13)),\n",
       "         Or(Not(q_14_6), Not(q_14_14)),\n",
       "         Or(Not(q_14_7), Not(q_14_8)),\n",
       "         Or(Not(q_14_7), Not(q_14_9)),\n",
       "         Or(Not(q_14_7), Not(q_14_10)),\n",
       "         Or(Not(q_14_7), Not(q_14_11)),\n",
       "         Or(Not(q_14_7), Not(q_14_12)),\n",
       "         Or(Not(q_14_7), Not(q_14_13)),\n",
       "         Or(Not(q_14_7), Not(q_14_14)),\n",
       "         Or(Not(q_14_8), Not(q_14_9)),\n",
       "         Or(Not(q_14_8), Not(q_14_10)),\n",
       "         Or(Not(q_14_8), Not(q_14_11)),\n",
       "         Or(Not(q_14_8), Not(q_14_12)),\n",
       "         Or(Not(q_14_8), Not(q_14_13)),\n",
       "         Or(Not(q_14_8), Not(q_14_14)),\n",
       "         Or(Not(q_14_9), Not(q_14_10)),\n",
       "         Or(Not(q_14_9), Not(q_14_11)),\n",
       "         Or(Not(q_14_9), Not(q_14_12)),\n",
       "         Or(Not(q_14_9), Not(q_14_13)),\n",
       "         Or(Not(q_14_9), Not(q_14_14)),\n",
       "         Or(Not(q_14_10), Not(q_14_11)),\n",
       "         Or(Not(q_14_10), Not(q_14_12)),\n",
       "         Or(Not(q_14_10), Not(q_14_13)),\n",
       "         Or(Not(q_14_10), Not(q_14_14)),\n",
       "         Or(Not(q_14_11), Not(q_14_12)),\n",
       "         Or(Not(q_14_11), Not(q_14_13)),\n",
       "         Or(Not(q_14_11), Not(q_14_14)),\n",
       "         Or(Not(q_14_12), Not(q_14_13)),\n",
       "         Or(Not(q_14_12), Not(q_14_14)),\n",
       "         Or(Not(q_14_13), Not(q_14_14))),\n",
       "     Or(q_14_0,\n",
       "        q_14_1,\n",
       "        q_14_2,\n",
       "        q_14_3,\n",
       "        q_14_4,\n",
       "        q_14_5,\n",
       "        q_14_6,\n",
       "        q_14_7,\n",
       "        q_14_8,\n",
       "        q_14_9,\n",
       "        q_14_10,\n",
       "        q_14_11,\n",
       "        q_14_12,\n",
       "        q_14_13,\n",
       "        q_14_14)), And(And(Or(Not(q_0_0), Not(q_1_0)),\n",
       "         Or(Not(q_0_0), Not(q_2_0)),\n",
       "         Or(Not(q_0_0), Not(q_3_0)),\n",
       "         Or(Not(q_0_0), Not(q_4_0)),\n",
       "         Or(Not(q_0_0), Not(q_5_0)),\n",
       "         Or(Not(q_0_0), Not(q_6_0)),\n",
       "         Or(Not(q_0_0), Not(q_7_0)),\n",
       "         Or(Not(q_0_0), Not(q_8_0)),\n",
       "         Or(Not(q_0_0), Not(q_9_0)),\n",
       "         Or(Not(q_0_0), Not(q_10_0)),\n",
       "         Or(Not(q_0_0), Not(q_11_0)),\n",
       "         Or(Not(q_0_0), Not(q_12_0)),\n",
       "         Or(Not(q_0_0), Not(q_13_0)),\n",
       "         Or(Not(q_0_0), Not(q_14_0)),\n",
       "         Or(Not(q_1_0), Not(q_2_0)),\n",
       "         Or(Not(q_1_0), Not(q_3_0)),\n",
       "         Or(Not(q_1_0), Not(q_4_0)),\n",
       "         Or(Not(q_1_0), Not(q_5_0)),\n",
       "         Or(Not(q_1_0), Not(q_6_0)),\n",
       "         Or(Not(q_1_0), Not(q_7_0)),\n",
       "         Or(Not(q_1_0), Not(q_8_0)),\n",
       "         Or(Not(q_1_0), Not(q_9_0)),\n",
       "         Or(Not(q_1_0), Not(q_10_0)),\n",
       "         Or(Not(q_1_0), Not(q_11_0)),\n",
       "         Or(Not(q_1_0), Not(q_12_0)),\n",
       "         Or(Not(q_1_0), Not(q_13_0)),\n",
       "         Or(Not(q_1_0), Not(q_14_0)),\n",
       "         Or(Not(q_2_0), Not(q_3_0)),\n",
       "         Or(Not(q_2_0), Not(q_4_0)),\n",
       "         Or(Not(q_2_0), Not(q_5_0)),\n",
       "         Or(Not(q_2_0), Not(q_6_0)),\n",
       "         Or(Not(q_2_0), Not(q_7_0)),\n",
       "         Or(Not(q_2_0), Not(q_8_0)),\n",
       "         Or(Not(q_2_0), Not(q_9_0)),\n",
       "         Or(Not(q_2_0), Not(q_10_0)),\n",
       "         Or(Not(q_2_0), Not(q_11_0)),\n",
       "         Or(Not(q_2_0), Not(q_12_0)),\n",
       "         Or(Not(q_2_0), Not(q_13_0)),\n",
       "         Or(Not(q_2_0), Not(q_14_0)),\n",
       "         Or(Not(q_3_0), Not(q_4_0)),\n",
       "         Or(Not(q_3_0), Not(q_5_0)),\n",
       "         Or(Not(q_3_0), Not(q_6_0)),\n",
       "         Or(Not(q_3_0), Not(q_7_0)),\n",
       "         Or(Not(q_3_0), Not(q_8_0)),\n",
       "         Or(Not(q_3_0), Not(q_9_0)),\n",
       "         Or(Not(q_3_0), Not(q_10_0)),\n",
       "         Or(Not(q_3_0), Not(q_11_0)),\n",
       "         Or(Not(q_3_0), Not(q_12_0)),\n",
       "         Or(Not(q_3_0), Not(q_13_0)),\n",
       "         Or(Not(q_3_0), Not(q_14_0)),\n",
       "         Or(Not(q_4_0), Not(q_5_0)),\n",
       "         Or(Not(q_4_0), Not(q_6_0)),\n",
       "         Or(Not(q_4_0), Not(q_7_0)),\n",
       "         Or(Not(q_4_0), Not(q_8_0)),\n",
       "         Or(Not(q_4_0), Not(q_9_0)),\n",
       "         Or(Not(q_4_0), Not(q_10_0)),\n",
       "         Or(Not(q_4_0), Not(q_11_0)),\n",
       "         Or(Not(q_4_0), Not(q_12_0)),\n",
       "         Or(Not(q_4_0), Not(q_13_0)),\n",
       "         Or(Not(q_4_0), Not(q_14_0)),\n",
       "         Or(Not(q_5_0), Not(q_6_0)),\n",
       "         Or(Not(q_5_0), Not(q_7_0)),\n",
       "         Or(Not(q_5_0), Not(q_8_0)),\n",
       "         Or(Not(q_5_0), Not(q_9_0)),\n",
       "         Or(Not(q_5_0), Not(q_10_0)),\n",
       "         Or(Not(q_5_0), Not(q_11_0)),\n",
       "         Or(Not(q_5_0), Not(q_12_0)),\n",
       "         Or(Not(q_5_0), Not(q_13_0)),\n",
       "         Or(Not(q_5_0), Not(q_14_0)),\n",
       "         Or(Not(q_6_0), Not(q_7_0)),\n",
       "         Or(Not(q_6_0), Not(q_8_0)),\n",
       "         Or(Not(q_6_0), Not(q_9_0)),\n",
       "         Or(Not(q_6_0), Not(q_10_0)),\n",
       "         Or(Not(q_6_0), Not(q_11_0)),\n",
       "         Or(Not(q_6_0), Not(q_12_0)),\n",
       "         Or(Not(q_6_0), Not(q_13_0)),\n",
       "         Or(Not(q_6_0), Not(q_14_0)),\n",
       "         Or(Not(q_7_0), Not(q_8_0)),\n",
       "         Or(Not(q_7_0), Not(q_9_0)),\n",
       "         Or(Not(q_7_0), Not(q_10_0)),\n",
       "         Or(Not(q_7_0), Not(q_11_0)),\n",
       "         Or(Not(q_7_0), Not(q_12_0)),\n",
       "         Or(Not(q_7_0), Not(q_13_0)),\n",
       "         Or(Not(q_7_0), Not(q_14_0)),\n",
       "         Or(Not(q_8_0), Not(q_9_0)),\n",
       "         Or(Not(q_8_0), Not(q_10_0)),\n",
       "         Or(Not(q_8_0), Not(q_11_0)),\n",
       "         Or(Not(q_8_0), Not(q_12_0)),\n",
       "         Or(Not(q_8_0), Not(q_13_0)),\n",
       "         Or(Not(q_8_0), Not(q_14_0)),\n",
       "         Or(Not(q_9_0), Not(q_10_0)),\n",
       "         Or(Not(q_9_0), Not(q_11_0)),\n",
       "         Or(Not(q_9_0), Not(q_12_0)),\n",
       "         Or(Not(q_9_0), Not(q_13_0)),\n",
       "         Or(Not(q_9_0), Not(q_14_0)),\n",
       "         Or(Not(q_10_0), Not(q_11_0)),\n",
       "         Or(Not(q_10_0), Not(q_12_0)),\n",
       "         Or(Not(q_10_0), Not(q_13_0)),\n",
       "         Or(Not(q_10_0), Not(q_14_0)),\n",
       "         Or(Not(q_11_0), Not(q_12_0)),\n",
       "         Or(Not(q_11_0), Not(q_13_0)),\n",
       "         Or(Not(q_11_0), Not(q_14_0)),\n",
       "         Or(Not(q_12_0), Not(q_13_0)),\n",
       "         Or(Not(q_12_0), Not(q_14_0)),\n",
       "         Or(Not(q_13_0), Not(q_14_0))),\n",
       "     Or(q_0_0,\n",
       "        q_1_0,\n",
       "        q_2_0,\n",
       "        q_3_0,\n",
       "        q_4_0,\n",
       "        q_5_0,\n",
       "        q_6_0,\n",
       "        q_7_0,\n",
       "        q_8_0,\n",
       "        q_9_0,\n",
       "        q_10_0,\n",
       "        q_11_0,\n",
       "        q_12_0,\n",
       "        q_13_0,\n",
       "        q_14_0)), And(And(Or(Not(q_0_1), Not(q_1_1)),\n",
       "         Or(Not(q_0_1), Not(q_2_1)),\n",
       "         Or(Not(q_0_1), Not(q_3_1)),\n",
       "         Or(Not(q_0_1), Not(q_4_1)),\n",
       "         Or(Not(q_0_1), Not(q_5_1)),\n",
       "         Or(Not(q_0_1), Not(q_6_1)),\n",
       "         Or(Not(q_0_1), Not(q_7_1)),\n",
       "         Or(Not(q_0_1), Not(q_8_1)),\n",
       "         Or(Not(q_0_1), Not(q_9_1)),\n",
       "         Or(Not(q_0_1), Not(q_10_1)),\n",
       "         Or(Not(q_0_1), Not(q_11_1)),\n",
       "         Or(Not(q_0_1), Not(q_12_1)),\n",
       "         Or(Not(q_0_1), Not(q_13_1)),\n",
       "         Or(Not(q_0_1), Not(q_14_1)),\n",
       "         Or(Not(q_1_1), Not(q_2_1)),\n",
       "         Or(Not(q_1_1), Not(q_3_1)),\n",
       "         Or(Not(q_1_1), Not(q_4_1)),\n",
       "         Or(Not(q_1_1), Not(q_5_1)),\n",
       "         Or(Not(q_1_1), Not(q_6_1)),\n",
       "         Or(Not(q_1_1), Not(q_7_1)),\n",
       "         Or(Not(q_1_1), Not(q_8_1)),\n",
       "         Or(Not(q_1_1), Not(q_9_1)),\n",
       "         Or(Not(q_1_1), Not(q_10_1)),\n",
       "         Or(Not(q_1_1), Not(q_11_1)),\n",
       "         Or(Not(q_1_1), Not(q_12_1)),\n",
       "         Or(Not(q_1_1), Not(q_13_1)),\n",
       "         Or(Not(q_1_1), Not(q_14_1)),\n",
       "         Or(Not(q_2_1), Not(q_3_1)),\n",
       "         Or(Not(q_2_1), Not(q_4_1)),\n",
       "         Or(Not(q_2_1), Not(q_5_1)),\n",
       "         Or(Not(q_2_1), Not(q_6_1)),\n",
       "         Or(Not(q_2_1), Not(q_7_1)),\n",
       "         Or(Not(q_2_1), Not(q_8_1)),\n",
       "         Or(Not(q_2_1), Not(q_9_1)),\n",
       "         Or(Not(q_2_1), Not(q_10_1)),\n",
       "         Or(Not(q_2_1), Not(q_11_1)),\n",
       "         Or(Not(q_2_1), Not(q_12_1)),\n",
       "         Or(Not(q_2_1), Not(q_13_1)),\n",
       "         Or(Not(q_2_1), Not(q_14_1)),\n",
       "         Or(Not(q_3_1), Not(q_4_1)),\n",
       "         Or(Not(q_3_1), Not(q_5_1)),\n",
       "         Or(Not(q_3_1), Not(q_6_1)),\n",
       "         Or(Not(q_3_1), Not(q_7_1)),\n",
       "         Or(Not(q_3_1), Not(q_8_1)),\n",
       "         Or(Not(q_3_1), Not(q_9_1)),\n",
       "         Or(Not(q_3_1), Not(q_10_1)),\n",
       "         Or(Not(q_3_1), Not(q_11_1)),\n",
       "         Or(Not(q_3_1), Not(q_12_1)),\n",
       "         Or(Not(q_3_1), Not(q_13_1)),\n",
       "         Or(Not(q_3_1), Not(q_14_1)),\n",
       "         Or(Not(q_4_1), Not(q_5_1)),\n",
       "         Or(Not(q_4_1), Not(q_6_1)),\n",
       "         Or(Not(q_4_1), Not(q_7_1)),\n",
       "         Or(Not(q_4_1), Not(q_8_1)),\n",
       "         Or(Not(q_4_1), Not(q_9_1)),\n",
       "         Or(Not(q_4_1), Not(q_10_1)),\n",
       "         Or(Not(q_4_1), Not(q_11_1)),\n",
       "         Or(Not(q_4_1), Not(q_12_1)),\n",
       "         Or(Not(q_4_1), Not(q_13_1)),\n",
       "         Or(Not(q_4_1), Not(q_14_1)),\n",
       "         Or(Not(q_5_1), Not(q_6_1)),\n",
       "         Or(Not(q_5_1), Not(q_7_1)),\n",
       "         Or(Not(q_5_1), Not(q_8_1)),\n",
       "         Or(Not(q_5_1), Not(q_9_1)),\n",
       "         Or(Not(q_5_1), Not(q_10_1)),\n",
       "         Or(Not(q_5_1), Not(q_11_1)),\n",
       "         Or(Not(q_5_1), Not(q_12_1)),\n",
       "         Or(Not(q_5_1), Not(q_13_1)),\n",
       "         Or(Not(q_5_1), Not(q_14_1)),\n",
       "         Or(Not(q_6_1), Not(q_7_1)),\n",
       "         Or(Not(q_6_1), Not(q_8_1)),\n",
       "         Or(Not(q_6_1), Not(q_9_1)),\n",
       "         Or(Not(q_6_1), Not(q_10_1)),\n",
       "         Or(Not(q_6_1), Not(q_11_1)),\n",
       "         Or(Not(q_6_1), Not(q_12_1)),\n",
       "         Or(Not(q_6_1), Not(q_13_1)),\n",
       "         Or(Not(q_6_1), Not(q_14_1)),\n",
       "         Or(Not(q_7_1), Not(q_8_1)),\n",
       "         Or(Not(q_7_1), Not(q_9_1)),\n",
       "         Or(Not(q_7_1), Not(q_10_1)),\n",
       "         Or(Not(q_7_1), Not(q_11_1)),\n",
       "         Or(Not(q_7_1), Not(q_12_1)),\n",
       "         Or(Not(q_7_1), Not(q_13_1)),\n",
       "         Or(Not(q_7_1), Not(q_14_1)),\n",
       "         Or(Not(q_8_1), Not(q_9_1)),\n",
       "         Or(Not(q_8_1), Not(q_10_1)),\n",
       "         Or(Not(q_8_1), Not(q_11_1)),\n",
       "         Or(Not(q_8_1), Not(q_12_1)),\n",
       "         Or(Not(q_8_1), Not(q_13_1)),\n",
       "         Or(Not(q_8_1), Not(q_14_1)),\n",
       "         Or(Not(q_9_1), Not(q_10_1)),\n",
       "         Or(Not(q_9_1), Not(q_11_1)),\n",
       "         Or(Not(q_9_1), Not(q_12_1)),\n",
       "         Or(Not(q_9_1), Not(q_13_1)),\n",
       "         Or(Not(q_9_1), Not(q_14_1)),\n",
       "         Or(Not(q_10_1), Not(q_11_1)),\n",
       "         Or(Not(q_10_1), Not(q_12_1)),\n",
       "         Or(Not(q_10_1), Not(q_13_1)),\n",
       "         Or(Not(q_10_1), Not(q_14_1)),\n",
       "         Or(Not(q_11_1), Not(q_12_1)),\n",
       "         Or(Not(q_11_1), Not(q_13_1)),\n",
       "         Or(Not(q_11_1), Not(q_14_1)),\n",
       "         Or(Not(q_12_1), Not(q_13_1)),\n",
       "         Or(Not(q_12_1), Not(q_14_1)),\n",
       "         Or(Not(q_13_1), Not(q_14_1))),\n",
       "     Or(q_0_1,\n",
       "        q_1_1,\n",
       "        q_2_1,\n",
       "        q_3_1,\n",
       "        q_4_1,\n",
       "        q_5_1,\n",
       "        q_6_1,\n",
       "        q_7_1,\n",
       "        q_8_1,\n",
       "        q_9_1,\n",
       "        q_10_1,\n",
       "        q_11_1,\n",
       "        q_12_1,\n",
       "        q_13_1,\n",
       "        q_14_1)), And(And(Or(Not(q_0_2), Not(q_1_2)),\n",
       "         Or(Not(q_0_2), Not(q_2_2)),\n",
       "         Or(Not(q_0_2), Not(q_3_2)),\n",
       "         Or(Not(q_0_2), Not(q_4_2)),\n",
       "         Or(Not(q_0_2), Not(q_5_2)),\n",
       "         Or(Not(q_0_2), Not(q_6_2)),\n",
       "         Or(Not(q_0_2), Not(q_7_2)),\n",
       "         Or(Not(q_0_2), Not(q_8_2)),\n",
       "         Or(Not(q_0_2), Not(q_9_2)),\n",
       "         Or(Not(q_0_2), Not(q_10_2)),\n",
       "         Or(Not(q_0_2), Not(q_11_2)),\n",
       "         Or(Not(q_0_2), Not(q_12_2)),\n",
       "         Or(Not(q_0_2), Not(q_13_2)),\n",
       "         Or(Not(q_0_2), Not(q_14_2)),\n",
       "         Or(Not(q_1_2), Not(q_2_2)),\n",
       "         Or(Not(q_1_2), Not(q_3_2)),\n",
       "         Or(Not(q_1_2), Not(q_4_2)),\n",
       "         Or(Not(q_1_2), Not(q_5_2)),\n",
       "         Or(Not(q_1_2), Not(q_6_2)),\n",
       "         Or(Not(q_1_2), Not(q_7_2)),\n",
       "         Or(Not(q_1_2), Not(q_8_2)),\n",
       "         Or(Not(q_1_2), Not(q_9_2)),\n",
       "         Or(Not(q_1_2), Not(q_10_2)),\n",
       "         Or(Not(q_1_2), Not(q_11_2)),\n",
       "         Or(Not(q_1_2), Not(q_12_2)),\n",
       "         Or(Not(q_1_2), Not(q_13_2)),\n",
       "         Or(Not(q_1_2), Not(q_14_2)),\n",
       "         Or(Not(q_2_2), Not(q_3_2)),\n",
       "         Or(Not(q_2_2), Not(q_4_2)),\n",
       "         Or(Not(q_2_2), Not(q_5_2)),\n",
       "         Or(Not(q_2_2), Not(q_6_2)),\n",
       "         Or(Not(q_2_2), Not(q_7_2)),\n",
       "         Or(Not(q_2_2), Not(q_8_2)),\n",
       "         Or(Not(q_2_2), Not(q_9_2)),\n",
       "         Or(Not(q_2_2), Not(q_10_2)),\n",
       "         Or(Not(q_2_2), Not(q_11_2)),\n",
       "         Or(Not(q_2_2), Not(q_12_2)),\n",
       "         Or(Not(q_2_2), Not(q_13_2)),\n",
       "         Or(Not(q_2_2), Not(q_14_2)),\n",
       "         Or(Not(q_3_2), Not(q_4_2)),\n",
       "         Or(Not(q_3_2), Not(q_5_2)),\n",
       "         Or(Not(q_3_2), Not(q_6_2)),\n",
       "         Or(Not(q_3_2), Not(q_7_2)),\n",
       "         Or(Not(q_3_2), Not(q_8_2)),\n",
       "         Or(Not(q_3_2), Not(q_9_2)),\n",
       "         Or(Not(q_3_2), Not(q_10_2)),\n",
       "         Or(Not(q_3_2), Not(q_11_2)),\n",
       "         Or(Not(q_3_2), Not(q_12_2)),\n",
       "         Or(Not(q_3_2), Not(q_13_2)),\n",
       "         Or(Not(q_3_2), Not(q_14_2)),\n",
       "         Or(Not(q_4_2), Not(q_5_2)),\n",
       "         Or(Not(q_4_2), Not(q_6_2)),\n",
       "         Or(Not(q_4_2), Not(q_7_2)),\n",
       "         Or(Not(q_4_2), Not(q_8_2)),\n",
       "         Or(Not(q_4_2), Not(q_9_2)),\n",
       "         Or(Not(q_4_2), Not(q_10_2)),\n",
       "         Or(Not(q_4_2), Not(q_11_2)),\n",
       "         Or(Not(q_4_2), Not(q_12_2)),\n",
       "         Or(Not(q_4_2), Not(q_13_2)),\n",
       "         Or(Not(q_4_2), Not(q_14_2)),\n",
       "         Or(Not(q_5_2), Not(q_6_2)),\n",
       "         Or(Not(q_5_2), Not(q_7_2)),\n",
       "         Or(Not(q_5_2), Not(q_8_2)),\n",
       "         Or(Not(q_5_2), Not(q_9_2)),\n",
       "         Or(Not(q_5_2), Not(q_10_2)),\n",
       "         Or(Not(q_5_2), Not(q_11_2)),\n",
       "         Or(Not(q_5_2), Not(q_12_2)),\n",
       "         Or(Not(q_5_2), Not(q_13_2)),\n",
       "         Or(Not(q_5_2), Not(q_14_2)),\n",
       "         Or(Not(q_6_2), Not(q_7_2)),\n",
       "         Or(Not(q_6_2), Not(q_8_2)),\n",
       "         Or(Not(q_6_2), Not(q_9_2)),\n",
       "         Or(Not(q_6_2), Not(q_10_2)),\n",
       "         Or(Not(q_6_2), Not(q_11_2)),\n",
       "         Or(Not(q_6_2), Not(q_12_2)),\n",
       "         Or(Not(q_6_2), Not(q_13_2)),\n",
       "         Or(Not(q_6_2), Not(q_14_2)),\n",
       "         Or(Not(q_7_2), Not(q_8_2)),\n",
       "         Or(Not(q_7_2), Not(q_9_2)),\n",
       "         Or(Not(q_7_2), Not(q_10_2)),\n",
       "         Or(Not(q_7_2), Not(q_11_2)),\n",
       "         Or(Not(q_7_2), Not(q_12_2)),\n",
       "         Or(Not(q_7_2), Not(q_13_2)),\n",
       "         Or(Not(q_7_2), Not(q_14_2)),\n",
       "         Or(Not(q_8_2), Not(q_9_2)),\n",
       "         Or(Not(q_8_2), Not(q_10_2)),\n",
       "         Or(Not(q_8_2), Not(q_11_2)),\n",
       "         Or(Not(q_8_2), Not(q_12_2)),\n",
       "         Or(Not(q_8_2), Not(q_13_2)),\n",
       "         Or(Not(q_8_2), Not(q_14_2)),\n",
       "         Or(Not(q_9_2), Not(q_10_2)),\n",
       "         Or(Not(q_9_2), Not(q_11_2)),\n",
       "         Or(Not(q_9_2), Not(q_12_2)),\n",
       "         Or(Not(q_9_2), Not(q_13_2)),\n",
       "         Or(Not(q_9_2), Not(q_14_2)),\n",
       "         Or(Not(q_10_2), Not(q_11_2)),\n",
       "         Or(Not(q_10_2), Not(q_12_2)),\n",
       "         Or(Not(q_10_2), Not(q_13_2)),\n",
       "         Or(Not(q_10_2), Not(q_14_2)),\n",
       "         Or(Not(q_11_2), Not(q_12_2)),\n",
       "         Or(Not(q_11_2), Not(q_13_2)),\n",
       "         Or(Not(q_11_2), Not(q_14_2)),\n",
       "         Or(Not(q_12_2), Not(q_13_2)),\n",
       "         Or(Not(q_12_2), Not(q_14_2)),\n",
       "         Or(Not(q_13_2), Not(q_14_2))),\n",
       "     Or(q_0_2,\n",
       "        q_1_2,\n",
       "        q_2_2,\n",
       "        q_3_2,\n",
       "        q_4_2,\n",
       "        q_5_2,\n",
       "        q_6_2,\n",
       "        q_7_2,\n",
       "        q_8_2,\n",
       "        q_9_2,\n",
       "        q_10_2,\n",
       "        q_11_2,\n",
       "        q_12_2,\n",
       "        q_13_2,\n",
       "        q_14_2)), And(And(Or(Not(q_0_3), Not(q_1_3)),\n",
       "         Or(Not(q_0_3), Not(q_2_3)),\n",
       "         Or(Not(q_0_3), Not(q_3_3)),\n",
       "         Or(Not(q_0_3), Not(q_4_3)),\n",
       "         Or(Not(q_0_3), Not(q_5_3)),\n",
       "         Or(Not(q_0_3), Not(q_6_3)),\n",
       "         Or(Not(q_0_3), Not(q_7_3)),\n",
       "         Or(Not(q_0_3), Not(q_8_3)),\n",
       "         Or(Not(q_0_3), Not(q_9_3)),\n",
       "         Or(Not(q_0_3), Not(q_10_3)),\n",
       "         Or(Not(q_0_3), Not(q_11_3)),\n",
       "         Or(Not(q_0_3), Not(q_12_3)),\n",
       "         Or(Not(q_0_3), Not(q_13_3)),\n",
       "         Or(Not(q_0_3), Not(q_14_3)),\n",
       "         Or(Not(q_1_3), Not(q_2_3)),\n",
       "         Or(Not(q_1_3), Not(q_3_3)),\n",
       "         Or(Not(q_1_3), Not(q_4_3)),\n",
       "         Or(Not(q_1_3), Not(q_5_3)),\n",
       "         Or(Not(q_1_3), Not(q_6_3)),\n",
       "         Or(Not(q_1_3), Not(q_7_3)),\n",
       "         Or(Not(q_1_3), Not(q_8_3)),\n",
       "         Or(Not(q_1_3), Not(q_9_3)),\n",
       "         Or(Not(q_1_3), Not(q_10_3)),\n",
       "         Or(Not(q_1_3), Not(q_11_3)),\n",
       "         Or(Not(q_1_3), Not(q_12_3)),\n",
       "         Or(Not(q_1_3), Not(q_13_3)),\n",
       "         Or(Not(q_1_3), Not(q_14_3)),\n",
       "         Or(Not(q_2_3), Not(q_3_3)),\n",
       "         Or(Not(q_2_3), Not(q_4_3)),\n",
       "         Or(Not(q_2_3), Not(q_5_3)),\n",
       "         Or(Not(q_2_3), Not(q_6_3)),\n",
       "         Or(Not(q_2_3), Not(q_7_3)),\n",
       "         Or(Not(q_2_3), Not(q_8_3)),\n",
       "         Or(Not(q_2_3), Not(q_9_3)),\n",
       "         Or(Not(q_2_3), Not(q_10_3)),\n",
       "         Or(Not(q_2_3), Not(q_11_3)),\n",
       "         Or(Not(q_2_3), Not(q_12_3)),\n",
       "         Or(Not(q_2_3), Not(q_13_3)),\n",
       "         Or(Not(q_2_3), Not(q_14_3)),\n",
       "         Or(Not(q_3_3), Not(q_4_3)),\n",
       "         Or(Not(q_3_3), Not(q_5_3)),\n",
       "         Or(Not(q_3_3), Not(q_6_3)),\n",
       "         Or(Not(q_3_3), Not(q_7_3)),\n",
       "         Or(Not(q_3_3), Not(q_8_3)),\n",
       "         Or(Not(q_3_3), Not(q_9_3)),\n",
       "         Or(Not(q_3_3), Not(q_10_3)),\n",
       "         Or(Not(q_3_3), Not(q_11_3)),\n",
       "         Or(Not(q_3_3), Not(q_12_3)),\n",
       "         Or(Not(q_3_3), Not(q_13_3)),\n",
       "         Or(Not(q_3_3), Not(q_14_3)),\n",
       "         Or(Not(q_4_3), Not(q_5_3)),\n",
       "         Or(Not(q_4_3), Not(q_6_3)),\n",
       "         Or(Not(q_4_3), Not(q_7_3)),\n",
       "         Or(Not(q_4_3), Not(q_8_3)),\n",
       "         Or(Not(q_4_3), Not(q_9_3)),\n",
       "         Or(Not(q_4_3), Not(q_10_3)),\n",
       "         Or(Not(q_4_3), Not(q_11_3)),\n",
       "         Or(Not(q_4_3), Not(q_12_3)),\n",
       "         Or(Not(q_4_3), Not(q_13_3)),\n",
       "         Or(Not(q_4_3), Not(q_14_3)),\n",
       "         Or(Not(q_5_3), Not(q_6_3)),\n",
       "         Or(Not(q_5_3), Not(q_7_3)),\n",
       "         Or(Not(q_5_3), Not(q_8_3)),\n",
       "         Or(Not(q_5_3), Not(q_9_3)),\n",
       "         Or(Not(q_5_3), Not(q_10_3)),\n",
       "         Or(Not(q_5_3), Not(q_11_3)),\n",
       "         Or(Not(q_5_3), Not(q_12_3)),\n",
       "         Or(Not(q_5_3), Not(q_13_3)),\n",
       "         Or(Not(q_5_3), Not(q_14_3)),\n",
       "         Or(Not(q_6_3), Not(q_7_3)),\n",
       "         Or(Not(q_6_3), Not(q_8_3)),\n",
       "         Or(Not(q_6_3), Not(q_9_3)),\n",
       "         Or(Not(q_6_3), Not(q_10_3)),\n",
       "         Or(Not(q_6_3), Not(q_11_3)),\n",
       "         Or(Not(q_6_3), Not(q_12_3)),\n",
       "         Or(Not(q_6_3), Not(q_13_3)),\n",
       "         Or(Not(q_6_3), Not(q_14_3)),\n",
       "         Or(Not(q_7_3), Not(q_8_3)),\n",
       "         Or(Not(q_7_3), Not(q_9_3)),\n",
       "         Or(Not(q_7_3), Not(q_10_3)),\n",
       "         Or(Not(q_7_3), Not(q_11_3)),\n",
       "         Or(Not(q_7_3), Not(q_12_3)),\n",
       "         Or(Not(q_7_3), Not(q_13_3)),\n",
       "         Or(Not(q_7_3), Not(q_14_3)),\n",
       "         Or(Not(q_8_3), Not(q_9_3)),\n",
       "         Or(Not(q_8_3), Not(q_10_3)),\n",
       "         Or(Not(q_8_3), Not(q_11_3)),\n",
       "         Or(Not(q_8_3), Not(q_12_3)),\n",
       "         Or(Not(q_8_3), Not(q_13_3)),\n",
       "         Or(Not(q_8_3), Not(q_14_3)),\n",
       "         Or(Not(q_9_3), Not(q_10_3)),\n",
       "         Or(Not(q_9_3), Not(q_11_3)),\n",
       "         Or(Not(q_9_3), Not(q_12_3)),\n",
       "         Or(Not(q_9_3), Not(q_13_3)),\n",
       "         Or(Not(q_9_3), Not(q_14_3)),\n",
       "         Or(Not(q_10_3), Not(q_11_3)),\n",
       "         Or(Not(q_10_3), Not(q_12_3)),\n",
       "         Or(Not(q_10_3), Not(q_13_3)),\n",
       "         Or(Not(q_10_3), Not(q_14_3)),\n",
       "         Or(Not(q_11_3), Not(q_12_3)),\n",
       "         Or(Not(q_11_3), Not(q_13_3)),\n",
       "         Or(Not(q_11_3), Not(q_14_3)),\n",
       "         Or(Not(q_12_3), Not(q_13_3)),\n",
       "         Or(Not(q_12_3), Not(q_14_3)),\n",
       "         Or(Not(q_13_3), Not(q_14_3))),\n",
       "     Or(q_0_3,\n",
       "        q_1_3,\n",
       "        q_2_3,\n",
       "        q_3_3,\n",
       "        q_4_3,\n",
       "        q_5_3,\n",
       "        q_6_3,\n",
       "        q_7_3,\n",
       "        q_8_3,\n",
       "        q_9_3,\n",
       "        q_10_3,\n",
       "        q_11_3,\n",
       "        q_12_3,\n",
       "        q_13_3,\n",
       "        q_14_3)), And(And(Or(Not(q_0_4), Not(q_1_4)),\n",
       "         Or(Not(q_0_4), Not(q_2_4)),\n",
       "         Or(Not(q_0_4), Not(q_3_4)),\n",
       "         Or(Not(q_0_4), Not(q_4_4)),\n",
       "         Or(Not(q_0_4), Not(q_5_4)),\n",
       "         Or(Not(q_0_4), Not(q_6_4)),\n",
       "         Or(Not(q_0_4), Not(q_7_4)),\n",
       "         Or(Not(q_0_4), Not(q_8_4)),\n",
       "         Or(Not(q_0_4), Not(q_9_4)),\n",
       "         Or(Not(q_0_4), Not(q_10_4)),\n",
       "         Or(Not(q_0_4), Not(q_11_4)),\n",
       "         Or(Not(q_0_4), Not(q_12_4)),\n",
       "         Or(Not(q_0_4), Not(q_13_4)),\n",
       "         Or(Not(q_0_4), Not(q_14_4)),\n",
       "         Or(Not(q_1_4), Not(q_2_4)),\n",
       "         Or(Not(q_1_4), Not(q_3_4)),\n",
       "         Or(Not(q_1_4), Not(q_4_4)),\n",
       "         Or(Not(q_1_4), Not(q_5_4)),\n",
       "         Or(Not(q_1_4), Not(q_6_4)),\n",
       "         Or(Not(q_1_4), Not(q_7_4)),\n",
       "         Or(Not(q_1_4), Not(q_8_4)),\n",
       "         Or(Not(q_1_4), Not(q_9_4)),\n",
       "         Or(Not(q_1_4), Not(q_10_4)),\n",
       "         Or(Not(q_1_4), Not(q_11_4)),\n",
       "         Or(Not(q_1_4), Not(q_12_4)),\n",
       "         Or(Not(q_1_4), Not(q_13_4)),\n",
       "         Or(Not(q_1_4), Not(q_14_4)),\n",
       "         Or(Not(q_2_4), Not(q_3_4)),\n",
       "         Or(Not(q_2_4), Not(q_4_4)),\n",
       "         Or(Not(q_2_4), Not(q_5_4)),\n",
       "         Or(Not(q_2_4), Not(q_6_4)),\n",
       "         Or(Not(q_2_4), Not(q_7_4)),\n",
       "         Or(Not(q_2_4), Not(q_8_4)),\n",
       "         Or(Not(q_2_4), Not(q_9_4)),\n",
       "         Or(Not(q_2_4), Not(q_10_4)),\n",
       "         Or(Not(q_2_4), Not(q_11_4)),\n",
       "         Or(Not(q_2_4), Not(q_12_4)),\n",
       "         Or(Not(q_2_4), Not(q_13_4)),\n",
       "         Or(Not(q_2_4), Not(q_14_4)),\n",
       "         Or(Not(q_3_4), Not(q_4_4)),\n",
       "         Or(Not(q_3_4), Not(q_5_4)),\n",
       "         Or(Not(q_3_4), Not(q_6_4)),\n",
       "         Or(Not(q_3_4), Not(q_7_4)),\n",
       "         Or(Not(q_3_4), Not(q_8_4)),\n",
       "         Or(Not(q_3_4), Not(q_9_4)),\n",
       "         Or(Not(q_3_4), Not(q_10_4)),\n",
       "         Or(Not(q_3_4), Not(q_11_4)),\n",
       "         Or(Not(q_3_4), Not(q_12_4)),\n",
       "         Or(Not(q_3_4), Not(q_13_4)),\n",
       "         Or(Not(q_3_4), Not(q_14_4)),\n",
       "         Or(Not(q_4_4), Not(q_5_4)),\n",
       "         Or(Not(q_4_4), Not(q_6_4)),\n",
       "         Or(Not(q_4_4), Not(q_7_4)),\n",
       "         Or(Not(q_4_4), Not(q_8_4)),\n",
       "         Or(Not(q_4_4), Not(q_9_4)),\n",
       "         Or(Not(q_4_4), Not(q_10_4)),\n",
       "         Or(Not(q_4_4), Not(q_11_4)),\n",
       "         Or(Not(q_4_4), Not(q_12_4)),\n",
       "         Or(Not(q_4_4), Not(q_13_4)),\n",
       "         Or(Not(q_4_4), Not(q_14_4)),\n",
       "         Or(Not(q_5_4), Not(q_6_4)),\n",
       "         Or(Not(q_5_4), Not(q_7_4)),\n",
       "         Or(Not(q_5_4), Not(q_8_4)),\n",
       "         Or(Not(q_5_4), Not(q_9_4)),\n",
       "         Or(Not(q_5_4), Not(q_10_4)),\n",
       "         Or(Not(q_5_4), Not(q_11_4)),\n",
       "         Or(Not(q_5_4), Not(q_12_4)),\n",
       "         Or(Not(q_5_4), Not(q_13_4)),\n",
       "         Or(Not(q_5_4), Not(q_14_4)),\n",
       "         Or(Not(q_6_4), Not(q_7_4)),\n",
       "         Or(Not(q_6_4), Not(q_8_4)),\n",
       "         Or(Not(q_6_4), Not(q_9_4)),\n",
       "         Or(Not(q_6_4), Not(q_10_4)),\n",
       "         Or(Not(q_6_4), Not(q_11_4)),\n",
       "         Or(Not(q_6_4), Not(q_12_4)),\n",
       "         Or(Not(q_6_4), Not(q_13_4)),\n",
       "         Or(Not(q_6_4), Not(q_14_4)),\n",
       "         Or(Not(q_7_4), Not(q_8_4)),\n",
       "         Or(Not(q_7_4), Not(q_9_4)),\n",
       "         Or(Not(q_7_4), Not(q_10_4)),\n",
       "         Or(Not(q_7_4), Not(q_11_4)),\n",
       "         Or(Not(q_7_4), Not(q_12_4)),\n",
       "         Or(Not(q_7_4), Not(q_13_4)),\n",
       "         Or(Not(q_7_4), Not(q_14_4)),\n",
       "         Or(Not(q_8_4), Not(q_9_4)),\n",
       "         Or(Not(q_8_4), Not(q_10_4)),\n",
       "         Or(Not(q_8_4), Not(q_11_4)),\n",
       "         Or(Not(q_8_4), Not(q_12_4)),\n",
       "         Or(Not(q_8_4), Not(q_13_4)),\n",
       "         Or(Not(q_8_4), Not(q_14_4)),\n",
       "         Or(Not(q_9_4), Not(q_10_4)),\n",
       "         Or(Not(q_9_4), Not(q_11_4)),\n",
       "         Or(Not(q_9_4), Not(q_12_4)),\n",
       "         Or(Not(q_9_4), Not(q_13_4)),\n",
       "         Or(Not(q_9_4), Not(q_14_4)),\n",
       "         Or(Not(q_10_4), Not(q_11_4)),\n",
       "         Or(Not(q_10_4), Not(q_12_4)),\n",
       "         Or(Not(q_10_4), Not(q_13_4)),\n",
       "         Or(Not(q_10_4), Not(q_14_4)),\n",
       "         Or(Not(q_11_4), Not(q_12_4)),\n",
       "         Or(Not(q_11_4), Not(q_13_4)),\n",
       "         Or(Not(q_11_4), Not(q_14_4)),\n",
       "         Or(Not(q_12_4), Not(q_13_4)),\n",
       "         Or(Not(q_12_4), Not(q_14_4)),\n",
       "         Or(Not(q_13_4), Not(q_14_4))),\n",
       "     Or(q_0_4,\n",
       "        q_1_4,\n",
       "        q_2_4,\n",
       "        q_3_4,\n",
       "        q_4_4,\n",
       "        q_5_4,\n",
       "        q_6_4,\n",
       "        q_7_4,\n",
       "        q_8_4,\n",
       "        q_9_4,\n",
       "        q_10_4,\n",
       "        q_11_4,\n",
       "        q_12_4,\n",
       "        q_13_4,\n",
       "        q_14_4)), And(And(Or(Not(q_0_5), Not(q_1_5)),\n",
       "         Or(Not(q_0_5), Not(q_2_5)),\n",
       "         Or(Not(q_0_5), Not(q_3_5)),\n",
       "         Or(Not(q_0_5), Not(q_4_5)),\n",
       "         Or(Not(q_0_5), Not(q_5_5)),\n",
       "         Or(Not(q_0_5), Not(q_6_5)),\n",
       "         Or(Not(q_0_5), Not(q_7_5)),\n",
       "         Or(Not(q_0_5), Not(q_8_5)),\n",
       "         Or(Not(q_0_5), Not(q_9_5)),\n",
       "         Or(Not(q_0_5), Not(q_10_5)),\n",
       "         Or(Not(q_0_5), Not(q_11_5)),\n",
       "         Or(Not(q_0_5), Not(q_12_5)),\n",
       "         Or(Not(q_0_5), Not(q_13_5)),\n",
       "         Or(Not(q_0_5), Not(q_14_5)),\n",
       "         Or(Not(q_1_5), Not(q_2_5)),\n",
       "         Or(Not(q_1_5), Not(q_3_5)),\n",
       "         Or(Not(q_1_5), Not(q_4_5)),\n",
       "         Or(Not(q_1_5), Not(q_5_5)),\n",
       "         Or(Not(q_1_5), Not(q_6_5)),\n",
       "         Or(Not(q_1_5), Not(q_7_5)),\n",
       "         Or(Not(q_1_5), Not(q_8_5)),\n",
       "         Or(Not(q_1_5), Not(q_9_5)),\n",
       "         Or(Not(q_1_5), Not(q_10_5)),\n",
       "         Or(Not(q_1_5), Not(q_11_5)),\n",
       "         Or(Not(q_1_5), Not(q_12_5)),\n",
       "         Or(Not(q_1_5), Not(q_13_5)),\n",
       "         Or(Not(q_1_5), Not(q_14_5)),\n",
       "         Or(Not(q_2_5), Not(q_3_5)),\n",
       "         Or(Not(q_2_5), Not(q_4_5)),\n",
       "         Or(Not(q_2_5), Not(q_5_5)),\n",
       "         Or(Not(q_2_5), Not(q_6_5)),\n",
       "         Or(Not(q_2_5), Not(q_7_5)),\n",
       "         Or(Not(q_2_5), Not(q_8_5)),\n",
       "         Or(Not(q_2_5), Not(q_9_5)),\n",
       "         Or(Not(q_2_5), Not(q_10_5)),\n",
       "         Or(Not(q_2_5), Not(q_11_5)),\n",
       "         Or(Not(q_2_5), Not(q_12_5)),\n",
       "         Or(Not(q_2_5), Not(q_13_5)),\n",
       "         Or(Not(q_2_5), Not(q_14_5)),\n",
       "         Or(Not(q_3_5), Not(q_4_5)),\n",
       "         Or(Not(q_3_5), Not(q_5_5)),\n",
       "         Or(Not(q_3_5), Not(q_6_5)),\n",
       "         Or(Not(q_3_5), Not(q_7_5)),\n",
       "         Or(Not(q_3_5), Not(q_8_5)),\n",
       "         Or(Not(q_3_5), Not(q_9_5)),\n",
       "         Or(Not(q_3_5), Not(q_10_5)),\n",
       "         Or(Not(q_3_5), Not(q_11_5)),\n",
       "         Or(Not(q_3_5), Not(q_12_5)),\n",
       "         Or(Not(q_3_5), Not(q_13_5)),\n",
       "         Or(Not(q_3_5), Not(q_14_5)),\n",
       "         Or(Not(q_4_5), Not(q_5_5)),\n",
       "         Or(Not(q_4_5), Not(q_6_5)),\n",
       "         Or(Not(q_4_5), Not(q_7_5)),\n",
       "         Or(Not(q_4_5), Not(q_8_5)),\n",
       "         Or(Not(q_4_5), Not(q_9_5)),\n",
       "         Or(Not(q_4_5), Not(q_10_5)),\n",
       "         Or(Not(q_4_5), Not(q_11_5)),\n",
       "         Or(Not(q_4_5), Not(q_12_5)),\n",
       "         Or(Not(q_4_5), Not(q_13_5)),\n",
       "         Or(Not(q_4_5), Not(q_14_5)),\n",
       "         Or(Not(q_5_5), Not(q_6_5)),\n",
       "         Or(Not(q_5_5), Not(q_7_5)),\n",
       "         Or(Not(q_5_5), Not(q_8_5)),\n",
       "         Or(Not(q_5_5), Not(q_9_5)),\n",
       "         Or(Not(q_5_5), Not(q_10_5)),\n",
       "         Or(Not(q_5_5), Not(q_11_5)),\n",
       "         Or(Not(q_5_5), Not(q_12_5)),\n",
       "         Or(Not(q_5_5), Not(q_13_5)),\n",
       "         Or(Not(q_5_5), Not(q_14_5)),\n",
       "         Or(Not(q_6_5), Not(q_7_5)),\n",
       "         Or(Not(q_6_5), Not(q_8_5)),\n",
       "         Or(Not(q_6_5), Not(q_9_5)),\n",
       "         Or(Not(q_6_5), Not(q_10_5)),\n",
       "         Or(Not(q_6_5), Not(q_11_5)),\n",
       "         Or(Not(q_6_5), Not(q_12_5)),\n",
       "         Or(Not(q_6_5), Not(q_13_5)),\n",
       "         Or(Not(q_6_5), Not(q_14_5)),\n",
       "         Or(Not(q_7_5), Not(q_8_5)),\n",
       "         Or(Not(q_7_5), Not(q_9_5)),\n",
       "         Or(Not(q_7_5), Not(q_10_5)),\n",
       "         Or(Not(q_7_5), Not(q_11_5)),\n",
       "         Or(Not(q_7_5), Not(q_12_5)),\n",
       "         Or(Not(q_7_5), Not(q_13_5)),\n",
       "         Or(Not(q_7_5), Not(q_14_5)),\n",
       "         Or(Not(q_8_5), Not(q_9_5)),\n",
       "         Or(Not(q_8_5), Not(q_10_5)),\n",
       "         Or(Not(q_8_5), Not(q_11_5)),\n",
       "         Or(Not(q_8_5), Not(q_12_5)),\n",
       "         Or(Not(q_8_5), Not(q_13_5)),\n",
       "         Or(Not(q_8_5), Not(q_14_5)),\n",
       "         Or(Not(q_9_5), Not(q_10_5)),\n",
       "         Or(Not(q_9_5), Not(q_11_5)),\n",
       "         Or(Not(q_9_5), Not(q_12_5)),\n",
       "         Or(Not(q_9_5), Not(q_13_5)),\n",
       "         Or(Not(q_9_5), Not(q_14_5)),\n",
       "         Or(Not(q_10_5), Not(q_11_5)),\n",
       "         Or(Not(q_10_5), Not(q_12_5)),\n",
       "         Or(Not(q_10_5), Not(q_13_5)),\n",
       "         Or(Not(q_10_5), Not(q_14_5)),\n",
       "         Or(Not(q_11_5), Not(q_12_5)),\n",
       "         Or(Not(q_11_5), Not(q_13_5)),\n",
       "         Or(Not(q_11_5), Not(q_14_5)),\n",
       "         Or(Not(q_12_5), Not(q_13_5)),\n",
       "         Or(Not(q_12_5), Not(q_14_5)),\n",
       "         Or(Not(q_13_5), Not(q_14_5))),\n",
       "     Or(q_0_5,\n",
       "        q_1_5,\n",
       "        q_2_5,\n",
       "        q_3_5,\n",
       "        q_4_5,\n",
       "        q_5_5,\n",
       "        q_6_5,\n",
       "        q_7_5,\n",
       "        q_8_5,\n",
       "        q_9_5,\n",
       "        q_10_5,\n",
       "        q_11_5,\n",
       "        q_12_5,\n",
       "        q_13_5,\n",
       "        q_14_5)), And(And(Or(Not(q_0_6), Not(q_1_6)),\n",
       "         Or(Not(q_0_6), Not(q_2_6)),\n",
       "         Or(Not(q_0_6), Not(q_3_6)),\n",
       "         Or(Not(q_0_6), Not(q_4_6)),\n",
       "         Or(Not(q_0_6), Not(q_5_6)),\n",
       "         Or(Not(q_0_6), Not(q_6_6)),\n",
       "         Or(Not(q_0_6), Not(q_7_6)),\n",
       "         Or(Not(q_0_6), Not(q_8_6)),\n",
       "         Or(Not(q_0_6), Not(q_9_6)),\n",
       "         Or(Not(q_0_6), Not(q_10_6)),\n",
       "         Or(Not(q_0_6), Not(q_11_6)),\n",
       "         Or(Not(q_0_6), Not(q_12_6)),\n",
       "         Or(Not(q_0_6), Not(q_13_6)),\n",
       "         Or(Not(q_0_6), Not(q_14_6)),\n",
       "         Or(Not(q_1_6), Not(q_2_6)),\n",
       "         Or(Not(q_1_6), Not(q_3_6)),\n",
       "         Or(Not(q_1_6), Not(q_4_6)),\n",
       "         Or(Not(q_1_6), Not(q_5_6)),\n",
       "         Or(Not(q_1_6), Not(q_6_6)),\n",
       "         Or(Not(q_1_6), Not(q_7_6)),\n",
       "         Or(Not(q_1_6), Not(q_8_6)),\n",
       "         Or(Not(q_1_6), Not(q_9_6)),\n",
       "         Or(Not(q_1_6), Not(q_10_6)),\n",
       "         Or(Not(q_1_6), Not(q_11_6)),\n",
       "         Or(Not(q_1_6), Not(q_12_6)),\n",
       "         Or(Not(q_1_6), Not(q_13_6)),\n",
       "         Or(Not(q_1_6), Not(q_14_6)),\n",
       "         Or(Not(q_2_6), Not(q_3_6)),\n",
       "         Or(Not(q_2_6), Not(q_4_6)),\n",
       "         Or(Not(q_2_6), Not(q_5_6)),\n",
       "         Or(Not(q_2_6), Not(q_6_6)),\n",
       "         Or(Not(q_2_6), Not(q_7_6)),\n",
       "         Or(Not(q_2_6), Not(q_8_6)),\n",
       "         Or(Not(q_2_6), Not(q_9_6)),\n",
       "         Or(Not(q_2_6), Not(q_10_6)),\n",
       "         Or(Not(q_2_6), Not(q_11_6)),\n",
       "         Or(Not(q_2_6), Not(q_12_6)),\n",
       "         Or(Not(q_2_6), Not(q_13_6)),\n",
       "         Or(Not(q_2_6), Not(q_14_6)),\n",
       "         Or(Not(q_3_6), Not(q_4_6)),\n",
       "         Or(Not(q_3_6), Not(q_5_6)),\n",
       "         Or(Not(q_3_6), Not(q_6_6)),\n",
       "         Or(Not(q_3_6), Not(q_7_6)),\n",
       "         Or(Not(q_3_6), Not(q_8_6)),\n",
       "         Or(Not(q_3_6), Not(q_9_6)),\n",
       "         Or(Not(q_3_6), Not(q_10_6)),\n",
       "         Or(Not(q_3_6), Not(q_11_6)),\n",
       "         Or(Not(q_3_6), Not(q_12_6)),\n",
       "         Or(Not(q_3_6), Not(q_13_6)),\n",
       "         Or(Not(q_3_6), Not(q_14_6)),\n",
       "         Or(Not(q_4_6), Not(q_5_6)),\n",
       "         Or(Not(q_4_6), Not(q_6_6)),\n",
       "         Or(Not(q_4_6), Not(q_7_6)),\n",
       "         Or(Not(q_4_6), Not(q_8_6)),\n",
       "         Or(Not(q_4_6), Not(q_9_6)),\n",
       "         Or(Not(q_4_6), Not(q_10_6)),\n",
       "         Or(Not(q_4_6), Not(q_11_6)),\n",
       "         Or(Not(q_4_6), Not(q_12_6)),\n",
       "         Or(Not(q_4_6), Not(q_13_6)),\n",
       "         Or(Not(q_4_6), Not(q_14_6)),\n",
       "         Or(Not(q_5_6), Not(q_6_6)),\n",
       "         Or(Not(q_5_6), Not(q_7_6)),\n",
       "         Or(Not(q_5_6), Not(q_8_6)),\n",
       "         Or(Not(q_5_6), Not(q_9_6)),\n",
       "         Or(Not(q_5_6), Not(q_10_6)),\n",
       "         Or(Not(q_5_6), Not(q_11_6)),\n",
       "         Or(Not(q_5_6), Not(q_12_6)),\n",
       "         Or(Not(q_5_6), Not(q_13_6)),\n",
       "         Or(Not(q_5_6), Not(q_14_6)),\n",
       "         Or(Not(q_6_6), Not(q_7_6)),\n",
       "         Or(Not(q_6_6), Not(q_8_6)),\n",
       "         Or(Not(q_6_6), Not(q_9_6)),\n",
       "         Or(Not(q_6_6), Not(q_10_6)),\n",
       "         Or(Not(q_6_6), Not(q_11_6)),\n",
       "         Or(Not(q_6_6), Not(q_12_6)),\n",
       "         Or(Not(q_6_6), Not(q_13_6)),\n",
       "         Or(Not(q_6_6), Not(q_14_6)),\n",
       "         Or(Not(q_7_6), Not(q_8_6)),\n",
       "         Or(Not(q_7_6), Not(q_9_6)),\n",
       "         Or(Not(q_7_6), Not(q_10_6)),\n",
       "         Or(Not(q_7_6), Not(q_11_6)),\n",
       "         Or(Not(q_7_6), Not(q_12_6)),\n",
       "         Or(Not(q_7_6), Not(q_13_6)),\n",
       "         Or(Not(q_7_6), Not(q_14_6)),\n",
       "         Or(Not(q_8_6), Not(q_9_6)),\n",
       "         Or(Not(q_8_6), Not(q_10_6)),\n",
       "         Or(Not(q_8_6), Not(q_11_6)),\n",
       "         Or(Not(q_8_6), Not(q_12_6)),\n",
       "         Or(Not(q_8_6), Not(q_13_6)),\n",
       "         Or(Not(q_8_6), Not(q_14_6)),\n",
       "         Or(Not(q_9_6), Not(q_10_6)),\n",
       "         Or(Not(q_9_6), Not(q_11_6)),\n",
       "         Or(Not(q_9_6), Not(q_12_6)),\n",
       "         Or(Not(q_9_6), Not(q_13_6)),\n",
       "         Or(Not(q_9_6), Not(q_14_6)),\n",
       "         Or(Not(q_10_6), Not(q_11_6)),\n",
       "         Or(Not(q_10_6), Not(q_12_6)),\n",
       "         Or(Not(q_10_6), Not(q_13_6)),\n",
       "         Or(Not(q_10_6), Not(q_14_6)),\n",
       "         Or(Not(q_11_6), Not(q_12_6)),\n",
       "         Or(Not(q_11_6), Not(q_13_6)),\n",
       "         Or(Not(q_11_6), Not(q_14_6)),\n",
       "         Or(Not(q_12_6), Not(q_13_6)),\n",
       "         Or(Not(q_12_6), Not(q_14_6)),\n",
       "         Or(Not(q_13_6), Not(q_14_6))),\n",
       "     Or(q_0_6,\n",
       "        q_1_6,\n",
       "        q_2_6,\n",
       "        q_3_6,\n",
       "        q_4_6,\n",
       "        q_5_6,\n",
       "        q_6_6,\n",
       "        q_7_6,\n",
       "        q_8_6,\n",
       "        q_9_6,\n",
       "        q_10_6,\n",
       "        q_11_6,\n",
       "        q_12_6,\n",
       "        q_13_6,\n",
       "        q_14_6)), And(And(Or(Not(q_0_7), Not(q_1_7)),\n",
       "         Or(Not(q_0_7), Not(q_2_7)),\n",
       "         Or(Not(q_0_7), Not(q_3_7)),\n",
       "         Or(Not(q_0_7), Not(q_4_7)),\n",
       "         Or(Not(q_0_7), Not(q_5_7)),\n",
       "         Or(Not(q_0_7), Not(q_6_7)),\n",
       "         Or(Not(q_0_7), Not(q_7_7)),\n",
       "         Or(Not(q_0_7), Not(q_8_7)),\n",
       "         Or(Not(q_0_7), Not(q_9_7)),\n",
       "         Or(Not(q_0_7), Not(q_10_7)),\n",
       "         Or(Not(q_0_7), Not(q_11_7)),\n",
       "         Or(Not(q_0_7), Not(q_12_7)),\n",
       "         Or(Not(q_0_7), Not(q_13_7)),\n",
       "         Or(Not(q_0_7), Not(q_14_7)),\n",
       "         Or(Not(q_1_7), Not(q_2_7)),\n",
       "         Or(Not(q_1_7), Not(q_3_7)),\n",
       "         Or(Not(q_1_7), Not(q_4_7)),\n",
       "         Or(Not(q_1_7), Not(q_5_7)),\n",
       "         Or(Not(q_1_7), Not(q_6_7)),\n",
       "         Or(Not(q_1_7), Not(q_7_7)),\n",
       "         Or(Not(q_1_7), Not(q_8_7)),\n",
       "         Or(Not(q_1_7), Not(q_9_7)),\n",
       "         Or(Not(q_1_7), Not(q_10_7)),\n",
       "         Or(Not(q_1_7), Not(q_11_7)),\n",
       "         Or(Not(q_1_7), Not(q_12_7)),\n",
       "         Or(Not(q_1_7), Not(q_13_7)),\n",
       "         Or(Not(q_1_7), Not(q_14_7)),\n",
       "         Or(Not(q_2_7), Not(q_3_7)),\n",
       "         Or(Not(q_2_7), Not(q_4_7)),\n",
       "         Or(Not(q_2_7), Not(q_5_7)),\n",
       "         Or(Not(q_2_7), Not(q_6_7)),\n",
       "         Or(Not(q_2_7), Not(q_7_7)),\n",
       "         Or(Not(q_2_7), Not(q_8_7)),\n",
       "         Or(Not(q_2_7), Not(q_9_7)),\n",
       "         Or(Not(q_2_7), Not(q_10_7)),\n",
       "         Or(Not(q_2_7), Not(q_11_7)),\n",
       "         Or(Not(q_2_7), Not(q_12_7)),\n",
       "         Or(Not(q_2_7), Not(q_13_7)),\n",
       "         Or(Not(q_2_7), Not(q_14_7)),\n",
       "         Or(Not(q_3_7), Not(q_4_7)),\n",
       "         Or(Not(q_3_7), Not(q_5_7)),\n",
       "         Or(Not(q_3_7), Not(q_6_7)),\n",
       "         Or(Not(q_3_7), Not(q_7_7)),\n",
       "         Or(Not(q_3_7), Not(q_8_7)),\n",
       "         Or(Not(q_3_7), Not(q_9_7)),\n",
       "         Or(Not(q_3_7), Not(q_10_7)),\n",
       "         Or(Not(q_3_7), Not(q_11_7)),\n",
       "         Or(Not(q_3_7), Not(q_12_7)),\n",
       "         Or(Not(q_3_7), Not(q_13_7)),\n",
       "         Or(Not(q_3_7), Not(q_14_7)),\n",
       "         Or(Not(q_4_7), Not(q_5_7)),\n",
       "         Or(Not(q_4_7), Not(q_6_7)),\n",
       "         Or(Not(q_4_7), Not(q_7_7)),\n",
       "         Or(Not(q_4_7), Not(q_8_7)),\n",
       "         Or(Not(q_4_7), Not(q_9_7)),\n",
       "         Or(Not(q_4_7), Not(q_10_7)),\n",
       "         Or(Not(q_4_7), Not(q_11_7)),\n",
       "         Or(Not(q_4_7), Not(q_12_7)),\n",
       "         Or(Not(q_4_7), Not(q_13_7)),\n",
       "         Or(Not(q_4_7), Not(q_14_7)),\n",
       "         Or(Not(q_5_7), Not(q_6_7)),\n",
       "         Or(Not(q_5_7), Not(q_7_7)),\n",
       "         Or(Not(q_5_7), Not(q_8_7)),\n",
       "         Or(Not(q_5_7), Not(q_9_7)),\n",
       "         Or(Not(q_5_7), Not(q_10_7)),\n",
       "         Or(Not(q_5_7), Not(q_11_7)),\n",
       "         Or(Not(q_5_7), Not(q_12_7)),\n",
       "         Or(Not(q_5_7), Not(q_13_7)),\n",
       "         Or(Not(q_5_7), Not(q_14_7)),\n",
       "         Or(Not(q_6_7), Not(q_7_7)),\n",
       "         Or(Not(q_6_7), Not(q_8_7)),\n",
       "         Or(Not(q_6_7), Not(q_9_7)),\n",
       "         Or(Not(q_6_7), Not(q_10_7)),\n",
       "         Or(Not(q_6_7), Not(q_11_7)),\n",
       "         Or(Not(q_6_7), Not(q_12_7)),\n",
       "         Or(Not(q_6_7), Not(q_13_7)),\n",
       "         Or(Not(q_6_7), Not(q_14_7)),\n",
       "         Or(Not(q_7_7), Not(q_8_7)),\n",
       "         Or(Not(q_7_7), Not(q_9_7)),\n",
       "         Or(Not(q_7_7), Not(q_10_7)),\n",
       "         Or(Not(q_7_7), Not(q_11_7)),\n",
       "         Or(Not(q_7_7), Not(q_12_7)),\n",
       "         Or(Not(q_7_7), Not(q_13_7)),\n",
       "         Or(Not(q_7_7), Not(q_14_7)),\n",
       "         Or(Not(q_8_7), Not(q_9_7)),\n",
       "         Or(Not(q_8_7), Not(q_10_7)),\n",
       "         Or(Not(q_8_7), Not(q_11_7)),\n",
       "         Or(Not(q_8_7), Not(q_12_7)),\n",
       "         Or(Not(q_8_7), Not(q_13_7)),\n",
       "         Or(Not(q_8_7), Not(q_14_7)),\n",
       "         Or(Not(q_9_7), Not(q_10_7)),\n",
       "         Or(Not(q_9_7), Not(q_11_7)),\n",
       "         Or(Not(q_9_7), Not(q_12_7)),\n",
       "         Or(Not(q_9_7), Not(q_13_7)),\n",
       "         Or(Not(q_9_7), Not(q_14_7)),\n",
       "         Or(Not(q_10_7), Not(q_11_7)),\n",
       "         Or(Not(q_10_7), Not(q_12_7)),\n",
       "         Or(Not(q_10_7), Not(q_13_7)),\n",
       "         Or(Not(q_10_7), Not(q_14_7)),\n",
       "         Or(Not(q_11_7), Not(q_12_7)),\n",
       "         Or(Not(q_11_7), Not(q_13_7)),\n",
       "         Or(Not(q_11_7), Not(q_14_7)),\n",
       "         Or(Not(q_12_7), Not(q_13_7)),\n",
       "         Or(Not(q_12_7), Not(q_14_7)),\n",
       "         Or(Not(q_13_7), Not(q_14_7))),\n",
       "     Or(q_0_7,\n",
       "        q_1_7,\n",
       "        q_2_7,\n",
       "        q_3_7,\n",
       "        q_4_7,\n",
       "        q_5_7,\n",
       "        q_6_7,\n",
       "        q_7_7,\n",
       "        q_8_7,\n",
       "        q_9_7,\n",
       "        q_10_7,\n",
       "        q_11_7,\n",
       "        q_12_7,\n",
       "        q_13_7,\n",
       "        q_14_7)), And(And(Or(Not(q_0_8), Not(q_1_8)),\n",
       "         Or(Not(q_0_8), Not(q_2_8)),\n",
       "         Or(Not(q_0_8), Not(q_3_8)),\n",
       "         Or(Not(q_0_8), Not(q_4_8)),\n",
       "         Or(Not(q_0_8), Not(q_5_8)),\n",
       "         Or(Not(q_0_8), Not(q_6_8)),\n",
       "         Or(Not(q_0_8), Not(q_7_8)),\n",
       "         Or(Not(q_0_8), Not(q_8_8)),\n",
       "         Or(Not(q_0_8), Not(q_9_8)),\n",
       "         Or(Not(q_0_8), Not(q_10_8)),\n",
       "         Or(Not(q_0_8), Not(q_11_8)),\n",
       "         Or(Not(q_0_8), Not(q_12_8)),\n",
       "         Or(Not(q_0_8), Not(q_13_8)),\n",
       "         Or(Not(q_0_8), Not(q_14_8)),\n",
       "         Or(Not(q_1_8), Not(q_2_8)),\n",
       "         Or(Not(q_1_8), Not(q_3_8)),\n",
       "         Or(Not(q_1_8), Not(q_4_8)),\n",
       "         Or(Not(q_1_8), Not(q_5_8)),\n",
       "         Or(Not(q_1_8), Not(q_6_8)),\n",
       "         Or(Not(q_1_8), Not(q_7_8)),\n",
       "         Or(Not(q_1_8), Not(q_8_8)),\n",
       "         Or(Not(q_1_8), Not(q_9_8)),\n",
       "         Or(Not(q_1_8), Not(q_10_8)),\n",
       "         Or(Not(q_1_8), Not(q_11_8)),\n",
       "         Or(Not(q_1_8), Not(q_12_8)),\n",
       "         Or(Not(q_1_8), Not(q_13_8)),\n",
       "         Or(Not(q_1_8), Not(q_14_8)),\n",
       "         Or(Not(q_2_8), Not(q_3_8)),\n",
       "         Or(Not(q_2_8), Not(q_4_8)),\n",
       "         Or(Not(q_2_8), Not(q_5_8)),\n",
       "         Or(Not(q_2_8), Not(q_6_8)),\n",
       "         Or(Not(q_2_8), Not(q_7_8)),\n",
       "         Or(Not(q_2_8), Not(q_8_8)),\n",
       "         Or(Not(q_2_8), Not(q_9_8)),\n",
       "         Or(Not(q_2_8), Not(q_10_8)),\n",
       "         Or(Not(q_2_8), Not(q_11_8)),\n",
       "         Or(Not(q_2_8), Not(q_12_8)),\n",
       "         Or(Not(q_2_8), Not(q_13_8)),\n",
       "         Or(Not(q_2_8), Not(q_14_8)),\n",
       "         Or(Not(q_3_8), Not(q_4_8)),\n",
       "         Or(Not(q_3_8), Not(q_5_8)),\n",
       "         Or(Not(q_3_8), Not(q_6_8)),\n",
       "         Or(Not(q_3_8), Not(q_7_8)),\n",
       "         Or(Not(q_3_8), Not(q_8_8)),\n",
       "         Or(Not(q_3_8), Not(q_9_8)),\n",
       "         Or(Not(q_3_8), Not(q_10_8)),\n",
       "         Or(Not(q_3_8), Not(q_11_8)),\n",
       "         Or(Not(q_3_8), Not(q_12_8)),\n",
       "         Or(Not(q_3_8), Not(q_13_8)),\n",
       "         Or(Not(q_3_8), Not(q_14_8)),\n",
       "         Or(Not(q_4_8), Not(q_5_8)),\n",
       "         Or(Not(q_4_8), Not(q_6_8)),\n",
       "         Or(Not(q_4_8), Not(q_7_8)),\n",
       "         Or(Not(q_4_8), Not(q_8_8)),\n",
       "         Or(Not(q_4_8), Not(q_9_8)),\n",
       "         Or(Not(q_4_8), Not(q_10_8)),\n",
       "         Or(Not(q_4_8), Not(q_11_8)),\n",
       "         Or(Not(q_4_8), Not(q_12_8)),\n",
       "         Or(Not(q_4_8), Not(q_13_8)),\n",
       "         Or(Not(q_4_8), Not(q_14_8)),\n",
       "         Or(Not(q_5_8), Not(q_6_8)),\n",
       "         Or(Not(q_5_8), Not(q_7_8)),\n",
       "         Or(Not(q_5_8), Not(q_8_8)),\n",
       "         Or(Not(q_5_8), Not(q_9_8)),\n",
       "         Or(Not(q_5_8), Not(q_10_8)),\n",
       "         Or(Not(q_5_8), Not(q_11_8)),\n",
       "         Or(Not(q_5_8), Not(q_12_8)),\n",
       "         Or(Not(q_5_8), Not(q_13_8)),\n",
       "         Or(Not(q_5_8), Not(q_14_8)),\n",
       "         Or(Not(q_6_8), Not(q_7_8)),\n",
       "         Or(Not(q_6_8), Not(q_8_8)),\n",
       "         Or(Not(q_6_8), Not(q_9_8)),\n",
       "         Or(Not(q_6_8), Not(q_10_8)),\n",
       "         Or(Not(q_6_8), Not(q_11_8)),\n",
       "         Or(Not(q_6_8), Not(q_12_8)),\n",
       "         Or(Not(q_6_8), Not(q_13_8)),\n",
       "         Or(Not(q_6_8), Not(q_14_8)),\n",
       "         Or(Not(q_7_8), Not(q_8_8)),\n",
       "         Or(Not(q_7_8), Not(q_9_8)),\n",
       "         Or(Not(q_7_8), Not(q_10_8)),\n",
       "         Or(Not(q_7_8), Not(q_11_8)),\n",
       "         Or(Not(q_7_8), Not(q_12_8)),\n",
       "         Or(Not(q_7_8), Not(q_13_8)),\n",
       "         Or(Not(q_7_8), Not(q_14_8)),\n",
       "         Or(Not(q_8_8), Not(q_9_8)),\n",
       "         Or(Not(q_8_8), Not(q_10_8)),\n",
       "         Or(Not(q_8_8), Not(q_11_8)),\n",
       "         Or(Not(q_8_8), Not(q_12_8)),\n",
       "         Or(Not(q_8_8), Not(q_13_8)),\n",
       "         Or(Not(q_8_8), Not(q_14_8)),\n",
       "         Or(Not(q_9_8), Not(q_10_8)),\n",
       "         Or(Not(q_9_8), Not(q_11_8)),\n",
       "         Or(Not(q_9_8), Not(q_12_8)),\n",
       "         Or(Not(q_9_8), Not(q_13_8)),\n",
       "         Or(Not(q_9_8), Not(q_14_8)),\n",
       "         Or(Not(q_10_8), Not(q_11_8)),\n",
       "         Or(Not(q_10_8), Not(q_12_8)),\n",
       "         Or(Not(q_10_8), Not(q_13_8)),\n",
       "         Or(Not(q_10_8), Not(q_14_8)),\n",
       "         Or(Not(q_11_8), Not(q_12_8)),\n",
       "         Or(Not(q_11_8), Not(q_13_8)),\n",
       "         Or(Not(q_11_8), Not(q_14_8)),\n",
       "         Or(Not(q_12_8), Not(q_13_8)),\n",
       "         Or(Not(q_12_8), Not(q_14_8)),\n",
       "         Or(Not(q_13_8), Not(q_14_8))),\n",
       "     Or(q_0_8,\n",
       "        q_1_8,\n",
       "        q_2_8,\n",
       "        q_3_8,\n",
       "        q_4_8,\n",
       "        q_5_8,\n",
       "        q_6_8,\n",
       "        q_7_8,\n",
       "        q_8_8,\n",
       "        q_9_8,\n",
       "        q_10_8,\n",
       "        q_11_8,\n",
       "        q_12_8,\n",
       "        q_13_8,\n",
       "        q_14_8)), And(And(Or(Not(q_0_9), Not(q_1_9)),\n",
       "         Or(Not(q_0_9), Not(q_2_9)),\n",
       "         Or(Not(q_0_9), Not(q_3_9)),\n",
       "         Or(Not(q_0_9), Not(q_4_9)),\n",
       "         Or(Not(q_0_9), Not(q_5_9)),\n",
       "         Or(Not(q_0_9), Not(q_6_9)),\n",
       "         Or(Not(q_0_9), Not(q_7_9)),\n",
       "         Or(Not(q_0_9), Not(q_8_9)),\n",
       "         Or(Not(q_0_9), Not(q_9_9)),\n",
       "         Or(Not(q_0_9), Not(q_10_9)),\n",
       "         Or(Not(q_0_9), Not(q_11_9)),\n",
       "         Or(Not(q_0_9), Not(q_12_9)),\n",
       "         Or(Not(q_0_9), Not(q_13_9)),\n",
       "         Or(Not(q_0_9), Not(q_14_9)),\n",
       "         Or(Not(q_1_9), Not(q_2_9)),\n",
       "         Or(Not(q_1_9), Not(q_3_9)),\n",
       "         Or(Not(q_1_9), Not(q_4_9)),\n",
       "         Or(Not(q_1_9), Not(q_5_9)),\n",
       "         Or(Not(q_1_9), Not(q_6_9)),\n",
       "         Or(Not(q_1_9), Not(q_7_9)),\n",
       "         Or(Not(q_1_9), Not(q_8_9)),\n",
       "         Or(Not(q_1_9), Not(q_9_9)),\n",
       "         Or(Not(q_1_9), Not(q_10_9)),\n",
       "         Or(Not(q_1_9), Not(q_11_9)),\n",
       "         Or(Not(q_1_9), Not(q_12_9)),\n",
       "         Or(Not(q_1_9), Not(q_13_9)),\n",
       "         Or(Not(q_1_9), Not(q_14_9)),\n",
       "         Or(Not(q_2_9), Not(q_3_9)),\n",
       "         Or(Not(q_2_9), Not(q_4_9)),\n",
       "         Or(Not(q_2_9), Not(q_5_9)),\n",
       "         Or(Not(q_2_9), Not(q_6_9)),\n",
       "         Or(Not(q_2_9), Not(q_7_9)),\n",
       "         Or(Not(q_2_9), Not(q_8_9)),\n",
       "         Or(Not(q_2_9), Not(q_9_9)),\n",
       "         Or(Not(q_2_9), Not(q_10_9)),\n",
       "         Or(Not(q_2_9), Not(q_11_9)),\n",
       "         Or(Not(q_2_9), Not(q_12_9)),\n",
       "         Or(Not(q_2_9), Not(q_13_9)),\n",
       "         Or(Not(q_2_9), Not(q_14_9)),\n",
       "         Or(Not(q_3_9), Not(q_4_9)),\n",
       "         Or(Not(q_3_9), Not(q_5_9)),\n",
       "         Or(Not(q_3_9), Not(q_6_9)),\n",
       "         Or(Not(q_3_9), Not(q_7_9)),\n",
       "         Or(Not(q_3_9), Not(q_8_9)),\n",
       "         Or(Not(q_3_9), Not(q_9_9)),\n",
       "         Or(Not(q_3_9), Not(q_10_9)),\n",
       "         Or(Not(q_3_9), Not(q_11_9)),\n",
       "         Or(Not(q_3_9), Not(q_12_9)),\n",
       "         Or(Not(q_3_9), Not(q_13_9)),\n",
       "         Or(Not(q_3_9), Not(q_14_9)),\n",
       "         Or(Not(q_4_9), Not(q_5_9)),\n",
       "         Or(Not(q_4_9), Not(q_6_9)),\n",
       "         Or(Not(q_4_9), Not(q_7_9)),\n",
       "         Or(Not(q_4_9), Not(q_8_9)),\n",
       "         Or(Not(q_4_9), Not(q_9_9)),\n",
       "         Or(Not(q_4_9), Not(q_10_9)),\n",
       "         Or(Not(q_4_9), Not(q_11_9)),\n",
       "         Or(Not(q_4_9), Not(q_12_9)),\n",
       "         Or(Not(q_4_9), Not(q_13_9)),\n",
       "         Or(Not(q_4_9), Not(q_14_9)),\n",
       "         Or(Not(q_5_9), Not(q_6_9)),\n",
       "         Or(Not(q_5_9), Not(q_7_9)),\n",
       "         Or(Not(q_5_9), Not(q_8_9)),\n",
       "         Or(Not(q_5_9), Not(q_9_9)),\n",
       "         Or(Not(q_5_9), Not(q_10_9)),\n",
       "         Or(Not(q_5_9), Not(q_11_9)),\n",
       "         Or(Not(q_5_9), Not(q_12_9)),\n",
       "         Or(Not(q_5_9), Not(q_13_9)),\n",
       "         Or(Not(q_5_9), Not(q_14_9)),\n",
       "         Or(Not(q_6_9), Not(q_7_9)),\n",
       "         Or(Not(q_6_9), Not(q_8_9)),\n",
       "         Or(Not(q_6_9), Not(q_9_9)),\n",
       "         Or(Not(q_6_9), Not(q_10_9)),\n",
       "         Or(Not(q_6_9), Not(q_11_9)),\n",
       "         Or(Not(q_6_9), Not(q_12_9)),\n",
       "         Or(Not(q_6_9), Not(q_13_9)),\n",
       "         Or(Not(q_6_9), Not(q_14_9)),\n",
       "         Or(Not(q_7_9), Not(q_8_9)),\n",
       "         Or(Not(q_7_9), Not(q_9_9)),\n",
       "         Or(Not(q_7_9), Not(q_10_9)),\n",
       "         Or(Not(q_7_9), Not(q_11_9)),\n",
       "         Or(Not(q_7_9), Not(q_12_9)),\n",
       "         Or(Not(q_7_9), Not(q_13_9)),\n",
       "         Or(Not(q_7_9), Not(q_14_9)),\n",
       "         Or(Not(q_8_9), Not(q_9_9)),\n",
       "         Or(Not(q_8_9), Not(q_10_9)),\n",
       "         Or(Not(q_8_9), Not(q_11_9)),\n",
       "         Or(Not(q_8_9), Not(q_12_9)),\n",
       "         Or(Not(q_8_9), Not(q_13_9)),\n",
       "         Or(Not(q_8_9), Not(q_14_9)),\n",
       "         Or(Not(q_9_9), Not(q_10_9)),\n",
       "         Or(Not(q_9_9), Not(q_11_9)),\n",
       "         Or(Not(q_9_9), Not(q_12_9)),\n",
       "         Or(Not(q_9_9), Not(q_13_9)),\n",
       "         Or(Not(q_9_9), Not(q_14_9)),\n",
       "         Or(Not(q_10_9), Not(q_11_9)),\n",
       "         Or(Not(q_10_9), Not(q_12_9)),\n",
       "         Or(Not(q_10_9), Not(q_13_9)),\n",
       "         Or(Not(q_10_9), Not(q_14_9)),\n",
       "         Or(Not(q_11_9), Not(q_12_9)),\n",
       "         Or(Not(q_11_9), Not(q_13_9)),\n",
       "         Or(Not(q_11_9), Not(q_14_9)),\n",
       "         Or(Not(q_12_9), Not(q_13_9)),\n",
       "         Or(Not(q_12_9), Not(q_14_9)),\n",
       "         Or(Not(q_13_9), Not(q_14_9))),\n",
       "     Or(q_0_9,\n",
       "        q_1_9,\n",
       "        q_2_9,\n",
       "        q_3_9,\n",
       "        q_4_9,\n",
       "        q_5_9,\n",
       "        q_6_9,\n",
       "        q_7_9,\n",
       "        q_8_9,\n",
       "        q_9_9,\n",
       "        q_10_9,\n",
       "        q_11_9,\n",
       "        q_12_9,\n",
       "        q_13_9,\n",
       "        q_14_9)), And(And(Or(Not(q_0_10), Not(q_1_10)),\n",
       "         Or(Not(q_0_10), Not(q_2_10)),\n",
       "         Or(Not(q_0_10), Not(q_3_10)),\n",
       "         Or(Not(q_0_10), Not(q_4_10)),\n",
       "         Or(Not(q_0_10), Not(q_5_10)),\n",
       "         Or(Not(q_0_10), Not(q_6_10)),\n",
       "         Or(Not(q_0_10), Not(q_7_10)),\n",
       "         Or(Not(q_0_10), Not(q_8_10)),\n",
       "         Or(Not(q_0_10), Not(q_9_10)),\n",
       "         Or(Not(q_0_10), Not(q_10_10)),\n",
       "         Or(Not(q_0_10), Not(q_11_10)),\n",
       "         Or(Not(q_0_10), Not(q_12_10)),\n",
       "         Or(Not(q_0_10), Not(q_13_10)),\n",
       "         Or(Not(q_0_10), Not(q_14_10)),\n",
       "         Or(Not(q_1_10), Not(q_2_10)),\n",
       "         Or(Not(q_1_10), Not(q_3_10)),\n",
       "         Or(Not(q_1_10), Not(q_4_10)),\n",
       "         Or(Not(q_1_10), Not(q_5_10)),\n",
       "         Or(Not(q_1_10), Not(q_6_10)),\n",
       "         Or(Not(q_1_10), Not(q_7_10)),\n",
       "         Or(Not(q_1_10), Not(q_8_10)),\n",
       "         Or(Not(q_1_10), Not(q_9_10)),\n",
       "         Or(Not(q_1_10), Not(q_10_10)),\n",
       "         Or(Not(q_1_10), Not(q_11_10)),\n",
       "         Or(Not(q_1_10), Not(q_12_10)),\n",
       "         Or(Not(q_1_10), Not(q_13_10)),\n",
       "         Or(Not(q_1_10), Not(q_14_10)),\n",
       "         Or(Not(q_2_10), Not(q_3_10)),\n",
       "         Or(Not(q_2_10), Not(q_4_10)),\n",
       "         Or(Not(q_2_10), Not(q_5_10)),\n",
       "         Or(Not(q_2_10), Not(q_6_10)),\n",
       "         Or(Not(q_2_10), Not(q_7_10)),\n",
       "         Or(Not(q_2_10), Not(q_8_10)),\n",
       "         Or(Not(q_2_10), Not(q_9_10)),\n",
       "         Or(Not(q_2_10), Not(q_10_10)),\n",
       "         Or(Not(q_2_10), Not(q_11_10)),\n",
       "         Or(Not(q_2_10), Not(q_12_10)),\n",
       "         Or(Not(q_2_10), Not(q_13_10)),\n",
       "         Or(Not(q_2_10), Not(q_14_10)),\n",
       "         Or(Not(q_3_10), Not(q_4_10)),\n",
       "         Or(Not(q_3_10), Not(q_5_10)),\n",
       "         Or(Not(q_3_10), Not(q_6_10)),\n",
       "         Or(Not(q_3_10), Not(q_7_10)),\n",
       "         Or(Not(q_3_10), Not(q_8_10)),\n",
       "         Or(Not(q_3_10), Not(q_9_10)),\n",
       "         Or(Not(q_3_10), Not(q_10_10)),\n",
       "         Or(Not(q_3_10), Not(q_11_10)),\n",
       "         Or(Not(q_3_10), Not(q_12_10)),\n",
       "         Or(Not(q_3_10), Not(q_13_10)),\n",
       "         Or(Not(q_3_10), Not(q_14_10)),\n",
       "         Or(Not(q_4_10), Not(q_5_10)),\n",
       "         Or(Not(q_4_10), Not(q_6_10)),\n",
       "         Or(Not(q_4_10), Not(q_7_10)),\n",
       "         Or(Not(q_4_10), Not(q_8_10)),\n",
       "         Or(Not(q_4_10), Not(q_9_10)),\n",
       "         Or(Not(q_4_10), Not(q_10_10)),\n",
       "         Or(Not(q_4_10), Not(q_11_10)),\n",
       "         Or(Not(q_4_10), Not(q_12_10)),\n",
       "         Or(Not(q_4_10), Not(q_13_10)),\n",
       "         Or(Not(q_4_10), Not(q_14_10)),\n",
       "         Or(Not(q_5_10), Not(q_6_10)),\n",
       "         Or(Not(q_5_10), Not(q_7_10)),\n",
       "         Or(Not(q_5_10), Not(q_8_10)),\n",
       "         Or(Not(q_5_10), Not(q_9_10)),\n",
       "         Or(Not(q_5_10), Not(q_10_10)),\n",
       "         Or(Not(q_5_10), Not(q_11_10)),\n",
       "         Or(Not(q_5_10), Not(q_12_10)),\n",
       "         Or(Not(q_5_10), Not(q_13_10)),\n",
       "         Or(Not(q_5_10), Not(q_14_10)),\n",
       "         Or(Not(q_6_10), Not(q_7_10)),\n",
       "         Or(Not(q_6_10), Not(q_8_10)),\n",
       "         Or(Not(q_6_10), Not(q_9_10)),\n",
       "         Or(Not(q_6_10), Not(q_10_10)),\n",
       "         Or(Not(q_6_10), Not(q_11_10)),\n",
       "         Or(Not(q_6_10), Not(q_12_10)),\n",
       "         Or(Not(q_6_10), Not(q_13_10)),\n",
       "         Or(Not(q_6_10), Not(q_14_10)),\n",
       "         Or(Not(q_7_10), Not(q_8_10)),\n",
       "         Or(Not(q_7_10), Not(q_9_10)),\n",
       "         Or(Not(q_7_10), Not(q_10_10)),\n",
       "         Or(Not(q_7_10), Not(q_11_10)),\n",
       "         Or(Not(q_7_10), Not(q_12_10)),\n",
       "         Or(Not(q_7_10), Not(q_13_10)),\n",
       "         Or(Not(q_7_10), Not(q_14_10)),\n",
       "         Or(Not(q_8_10), Not(q_9_10)),\n",
       "         Or(Not(q_8_10), Not(q_10_10)),\n",
       "         Or(Not(q_8_10), Not(q_11_10)),\n",
       "         Or(Not(q_8_10), Not(q_12_10)),\n",
       "         Or(Not(q_8_10), Not(q_13_10)),\n",
       "         Or(Not(q_8_10), Not(q_14_10)),\n",
       "         Or(Not(q_9_10), Not(q_10_10)),\n",
       "         Or(Not(q_9_10), Not(q_11_10)),\n",
       "         Or(Not(q_9_10), Not(q_12_10)),\n",
       "         Or(Not(q_9_10), Not(q_13_10)),\n",
       "         Or(Not(q_9_10), Not(q_14_10)),\n",
       "         Or(Not(q_10_10), Not(q_11_10)),\n",
       "         Or(Not(q_10_10), Not(q_12_10)),\n",
       "         Or(Not(q_10_10), Not(q_13_10)),\n",
       "         Or(Not(q_10_10), Not(q_14_10)),\n",
       "         Or(Not(q_11_10), Not(q_12_10)),\n",
       "         Or(Not(q_11_10), Not(q_13_10)),\n",
       "         Or(Not(q_11_10), Not(q_14_10)),\n",
       "         Or(Not(q_12_10), Not(q_13_10)),\n",
       "         Or(Not(q_12_10), Not(q_14_10)),\n",
       "         Or(Not(q_13_10), Not(q_14_10))),\n",
       "     Or(q_0_10,\n",
       "        q_1_10,\n",
       "        q_2_10,\n",
       "        q_3_10,\n",
       "        q_4_10,\n",
       "        q_5_10,\n",
       "        q_6_10,\n",
       "        q_7_10,\n",
       "        q_8_10,\n",
       "        q_9_10,\n",
       "        q_10_10,\n",
       "        q_11_10,\n",
       "        q_12_10,\n",
       "        q_13_10,\n",
       "        q_14_10)), And(And(Or(Not(q_0_11), Not(q_1_11)),\n",
       "         Or(Not(q_0_11), Not(q_2_11)),\n",
       "         Or(Not(q_0_11), Not(q_3_11)),\n",
       "         Or(Not(q_0_11), Not(q_4_11)),\n",
       "         Or(Not(q_0_11), Not(q_5_11)),\n",
       "         Or(Not(q_0_11), Not(q_6_11)),\n",
       "         Or(Not(q_0_11), Not(q_7_11)),\n",
       "         Or(Not(q_0_11), Not(q_8_11)),\n",
       "         Or(Not(q_0_11), Not(q_9_11)),\n",
       "         Or(Not(q_0_11), Not(q_10_11)),\n",
       "         Or(Not(q_0_11), Not(q_11_11)),\n",
       "         Or(Not(q_0_11), Not(q_12_11)),\n",
       "         Or(Not(q_0_11), Not(q_13_11)),\n",
       "         Or(Not(q_0_11), Not(q_14_11)),\n",
       "         Or(Not(q_1_11), Not(q_2_11)),\n",
       "         Or(Not(q_1_11), Not(q_3_11)),\n",
       "         Or(Not(q_1_11), Not(q_4_11)),\n",
       "         Or(Not(q_1_11), Not(q_5_11)),\n",
       "         Or(Not(q_1_11), Not(q_6_11)),\n",
       "         Or(Not(q_1_11), Not(q_7_11)),\n",
       "         Or(Not(q_1_11), Not(q_8_11)),\n",
       "         Or(Not(q_1_11), Not(q_9_11)),\n",
       "         Or(Not(q_1_11), Not(q_10_11)),\n",
       "         Or(Not(q_1_11), Not(q_11_11)),\n",
       "         Or(Not(q_1_11), Not(q_12_11)),\n",
       "         Or(Not(q_1_11), Not(q_13_11)),\n",
       "         Or(Not(q_1_11), Not(q_14_11)),\n",
       "         Or(Not(q_2_11), Not(q_3_11)),\n",
       "         Or(Not(q_2_11), Not(q_4_11)),\n",
       "         Or(Not(q_2_11), Not(q_5_11)),\n",
       "         Or(Not(q_2_11), Not(q_6_11)),\n",
       "         Or(Not(q_2_11), Not(q_7_11)),\n",
       "         Or(Not(q_2_11), Not(q_8_11)),\n",
       "         Or(Not(q_2_11), Not(q_9_11)),\n",
       "         Or(Not(q_2_11), Not(q_10_11)),\n",
       "         Or(Not(q_2_11), Not(q_11_11)),\n",
       "         Or(Not(q_2_11), Not(q_12_11)),\n",
       "         Or(Not(q_2_11), Not(q_13_11)),\n",
       "         Or(Not(q_2_11), Not(q_14_11)),\n",
       "         Or(Not(q_3_11), Not(q_4_11)),\n",
       "         Or(Not(q_3_11), Not(q_5_11)),\n",
       "         Or(Not(q_3_11), Not(q_6_11)),\n",
       "         Or(Not(q_3_11), Not(q_7_11)),\n",
       "         Or(Not(q_3_11), Not(q_8_11)),\n",
       "         Or(Not(q_3_11), Not(q_9_11)),\n",
       "         Or(Not(q_3_11), Not(q_10_11)),\n",
       "         Or(Not(q_3_11), Not(q_11_11)),\n",
       "         Or(Not(q_3_11), Not(q_12_11)),\n",
       "         Or(Not(q_3_11), Not(q_13_11)),\n",
       "         Or(Not(q_3_11), Not(q_14_11)),\n",
       "         Or(Not(q_4_11), Not(q_5_11)),\n",
       "         Or(Not(q_4_11), Not(q_6_11)),\n",
       "         Or(Not(q_4_11), Not(q_7_11)),\n",
       "         Or(Not(q_4_11), Not(q_8_11)),\n",
       "         Or(Not(q_4_11), Not(q_9_11)),\n",
       "         Or(Not(q_4_11), Not(q_10_11)),\n",
       "         Or(Not(q_4_11), Not(q_11_11)),\n",
       "         Or(Not(q_4_11), Not(q_12_11)),\n",
       "         Or(Not(q_4_11), Not(q_13_11)),\n",
       "         Or(Not(q_4_11), Not(q_14_11)),\n",
       "         Or(Not(q_5_11), Not(q_6_11)),\n",
       "         Or(Not(q_5_11), Not(q_7_11)),\n",
       "         Or(Not(q_5_11), Not(q_8_11)),\n",
       "         Or(Not(q_5_11), Not(q_9_11)),\n",
       "         Or(Not(q_5_11), Not(q_10_11)),\n",
       "         Or(Not(q_5_11), Not(q_11_11)),\n",
       "         Or(Not(q_5_11), Not(q_12_11)),\n",
       "         Or(Not(q_5_11), Not(q_13_11)),\n",
       "         Or(Not(q_5_11), Not(q_14_11)),\n",
       "         Or(Not(q_6_11), Not(q_7_11)),\n",
       "         Or(Not(q_6_11), Not(q_8_11)),\n",
       "         Or(Not(q_6_11), Not(q_9_11)),\n",
       "         Or(Not(q_6_11), Not(q_10_11)),\n",
       "         Or(Not(q_6_11), Not(q_11_11)),\n",
       "         Or(Not(q_6_11), Not(q_12_11)),\n",
       "         Or(Not(q_6_11), Not(q_13_11)),\n",
       "         Or(Not(q_6_11), Not(q_14_11)),\n",
       "         Or(Not(q_7_11), Not(q_8_11)),\n",
       "         Or(Not(q_7_11), Not(q_9_11)),\n",
       "         Or(Not(q_7_11), Not(q_10_11)),\n",
       "         Or(Not(q_7_11), Not(q_11_11)),\n",
       "         Or(Not(q_7_11), Not(q_12_11)),\n",
       "         Or(Not(q_7_11), Not(q_13_11)),\n",
       "         Or(Not(q_7_11), Not(q_14_11)),\n",
       "         Or(Not(q_8_11), Not(q_9_11)),\n",
       "         Or(Not(q_8_11), Not(q_10_11)),\n",
       "         Or(Not(q_8_11), Not(q_11_11)),\n",
       "         Or(Not(q_8_11), Not(q_12_11)),\n",
       "         Or(Not(q_8_11), Not(q_13_11)),\n",
       "         Or(Not(q_8_11), Not(q_14_11)),\n",
       "         Or(Not(q_9_11), Not(q_10_11)),\n",
       "         Or(Not(q_9_11), Not(q_11_11)),\n",
       "         Or(Not(q_9_11), Not(q_12_11)),\n",
       "         Or(Not(q_9_11), Not(q_13_11)),\n",
       "         Or(Not(q_9_11), Not(q_14_11)),\n",
       "         Or(Not(q_10_11), Not(q_11_11)),\n",
       "         Or(Not(q_10_11), Not(q_12_11)),\n",
       "         Or(Not(q_10_11), Not(q_13_11)),\n",
       "         Or(Not(q_10_11), Not(q_14_11)),\n",
       "         Or(Not(q_11_11), Not(q_12_11)),\n",
       "         Or(Not(q_11_11), Not(q_13_11)),\n",
       "         Or(Not(q_11_11), Not(q_14_11)),\n",
       "         Or(Not(q_12_11), Not(q_13_11)),\n",
       "         Or(Not(q_12_11), Not(q_14_11)),\n",
       "         Or(Not(q_13_11), Not(q_14_11))),\n",
       "     Or(q_0_11,\n",
       "        q_1_11,\n",
       "        q_2_11,\n",
       "        q_3_11,\n",
       "        q_4_11,\n",
       "        q_5_11,\n",
       "        q_6_11,\n",
       "        q_7_11,\n",
       "        q_8_11,\n",
       "        q_9_11,\n",
       "        q_10_11,\n",
       "        q_11_11,\n",
       "        q_12_11,\n",
       "        q_13_11,\n",
       "        q_14_11)), And(And(Or(Not(q_0_12), Not(q_1_12)),\n",
       "         Or(Not(q_0_12), Not(q_2_12)),\n",
       "         Or(Not(q_0_12), Not(q_3_12)),\n",
       "         Or(Not(q_0_12), Not(q_4_12)),\n",
       "         Or(Not(q_0_12), Not(q_5_12)),\n",
       "         Or(Not(q_0_12), Not(q_6_12)),\n",
       "         Or(Not(q_0_12), Not(q_7_12)),\n",
       "         Or(Not(q_0_12), Not(q_8_12)),\n",
       "         Or(Not(q_0_12), Not(q_9_12)),\n",
       "         Or(Not(q_0_12), Not(q_10_12)),\n",
       "         Or(Not(q_0_12), Not(q_11_12)),\n",
       "         Or(Not(q_0_12), Not(q_12_12)),\n",
       "         Or(Not(q_0_12), Not(q_13_12)),\n",
       "         Or(Not(q_0_12), Not(q_14_12)),\n",
       "         Or(Not(q_1_12), Not(q_2_12)),\n",
       "         Or(Not(q_1_12), Not(q_3_12)),\n",
       "         Or(Not(q_1_12), Not(q_4_12)),\n",
       "         Or(Not(q_1_12), Not(q_5_12)),\n",
       "         Or(Not(q_1_12), Not(q_6_12)),\n",
       "         Or(Not(q_1_12), Not(q_7_12)),\n",
       "         Or(Not(q_1_12), Not(q_8_12)),\n",
       "         Or(Not(q_1_12), Not(q_9_12)),\n",
       "         Or(Not(q_1_12), Not(q_10_12)),\n",
       "         Or(Not(q_1_12), Not(q_11_12)),\n",
       "         Or(Not(q_1_12), Not(q_12_12)),\n",
       "         Or(Not(q_1_12), Not(q_13_12)),\n",
       "         Or(Not(q_1_12), Not(q_14_12)),\n",
       "         Or(Not(q_2_12), Not(q_3_12)),\n",
       "         Or(Not(q_2_12), Not(q_4_12)),\n",
       "         Or(Not(q_2_12), Not(q_5_12)),\n",
       "         Or(Not(q_2_12), Not(q_6_12)),\n",
       "         Or(Not(q_2_12), Not(q_7_12)),\n",
       "         Or(Not(q_2_12), Not(q_8_12)),\n",
       "         Or(Not(q_2_12), Not(q_9_12)),\n",
       "         Or(Not(q_2_12), Not(q_10_12)),\n",
       "         Or(Not(q_2_12), Not(q_11_12)),\n",
       "         Or(Not(q_2_12), Not(q_12_12)),\n",
       "         Or(Not(q_2_12), Not(q_13_12)),\n",
       "         Or(Not(q_2_12), Not(q_14_12)),\n",
       "         Or(Not(q_3_12), Not(q_4_12)),\n",
       "         Or(Not(q_3_12), Not(q_5_12)),\n",
       "         Or(Not(q_3_12), Not(q_6_12)),\n",
       "         Or(Not(q_3_12), Not(q_7_12)),\n",
       "         Or(Not(q_3_12), Not(q_8_12)),\n",
       "         Or(Not(q_3_12), Not(q_9_12)),\n",
       "         Or(Not(q_3_12), Not(q_10_12)),\n",
       "         Or(Not(q_3_12), Not(q_11_12)),\n",
       "         Or(Not(q_3_12), Not(q_12_12)),\n",
       "         Or(Not(q_3_12), Not(q_13_12)),\n",
       "         Or(Not(q_3_12), Not(q_14_12)),\n",
       "         Or(Not(q_4_12), Not(q_5_12)),\n",
       "         Or(Not(q_4_12), Not(q_6_12)),\n",
       "         Or(Not(q_4_12), Not(q_7_12)),\n",
       "         Or(Not(q_4_12), Not(q_8_12)),\n",
       "         Or(Not(q_4_12), Not(q_9_12)),\n",
       "         Or(Not(q_4_12), Not(q_10_12)),\n",
       "         Or(Not(q_4_12), Not(q_11_12)),\n",
       "         Or(Not(q_4_12), Not(q_12_12)),\n",
       "         Or(Not(q_4_12), Not(q_13_12)),\n",
       "         Or(Not(q_4_12), Not(q_14_12)),\n",
       "         Or(Not(q_5_12), Not(q_6_12)),\n",
       "         Or(Not(q_5_12), Not(q_7_12)),\n",
       "         Or(Not(q_5_12), Not(q_8_12)),\n",
       "         Or(Not(q_5_12), Not(q_9_12)),\n",
       "         Or(Not(q_5_12), Not(q_10_12)),\n",
       "         Or(Not(q_5_12), Not(q_11_12)),\n",
       "         Or(Not(q_5_12), Not(q_12_12)),\n",
       "         Or(Not(q_5_12), Not(q_13_12)),\n",
       "         Or(Not(q_5_12), Not(q_14_12)),\n",
       "         Or(Not(q_6_12), Not(q_7_12)),\n",
       "         Or(Not(q_6_12), Not(q_8_12)),\n",
       "         Or(Not(q_6_12), Not(q_9_12)),\n",
       "         Or(Not(q_6_12), Not(q_10_12)),\n",
       "         Or(Not(q_6_12), Not(q_11_12)),\n",
       "         Or(Not(q_6_12), Not(q_12_12)),\n",
       "         Or(Not(q_6_12), Not(q_13_12)),\n",
       "         Or(Not(q_6_12), Not(q_14_12)),\n",
       "         Or(Not(q_7_12), Not(q_8_12)),\n",
       "         Or(Not(q_7_12), Not(q_9_12)),\n",
       "         Or(Not(q_7_12), Not(q_10_12)),\n",
       "         Or(Not(q_7_12), Not(q_11_12)),\n",
       "         Or(Not(q_7_12), Not(q_12_12)),\n",
       "         Or(Not(q_7_12), Not(q_13_12)),\n",
       "         Or(Not(q_7_12), Not(q_14_12)),\n",
       "         Or(Not(q_8_12), Not(q_9_12)),\n",
       "         Or(Not(q_8_12), Not(q_10_12)),\n",
       "         Or(Not(q_8_12), Not(q_11_12)),\n",
       "         Or(Not(q_8_12), Not(q_12_12)),\n",
       "         Or(Not(q_8_12), Not(q_13_12)),\n",
       "         Or(Not(q_8_12), Not(q_14_12)),\n",
       "         Or(Not(q_9_12), Not(q_10_12)),\n",
       "         Or(Not(q_9_12), Not(q_11_12)),\n",
       "         Or(Not(q_9_12), Not(q_12_12)),\n",
       "         Or(Not(q_9_12), Not(q_13_12)),\n",
       "         Or(Not(q_9_12), Not(q_14_12)),\n",
       "         Or(Not(q_10_12), Not(q_11_12)),\n",
       "         Or(Not(q_10_12), Not(q_12_12)),\n",
       "         Or(Not(q_10_12), Not(q_13_12)),\n",
       "         Or(Not(q_10_12), Not(q_14_12)),\n",
       "         Or(Not(q_11_12), Not(q_12_12)),\n",
       "         Or(Not(q_11_12), Not(q_13_12)),\n",
       "         Or(Not(q_11_12), Not(q_14_12)),\n",
       "         Or(Not(q_12_12), Not(q_13_12)),\n",
       "         Or(Not(q_12_12), Not(q_14_12)),\n",
       "         Or(Not(q_13_12), Not(q_14_12))),\n",
       "     Or(q_0_12,\n",
       "        q_1_12,\n",
       "        q_2_12,\n",
       "        q_3_12,\n",
       "        q_4_12,\n",
       "        q_5_12,\n",
       "        q_6_12,\n",
       "        q_7_12,\n",
       "        q_8_12,\n",
       "        q_9_12,\n",
       "        q_10_12,\n",
       "        q_11_12,\n",
       "        q_12_12,\n",
       "        q_13_12,\n",
       "        q_14_12)), And(And(Or(Not(q_0_13), Not(q_1_13)),\n",
       "         Or(Not(q_0_13), Not(q_2_13)),\n",
       "         Or(Not(q_0_13), Not(q_3_13)),\n",
       "         Or(Not(q_0_13), Not(q_4_13)),\n",
       "         Or(Not(q_0_13), Not(q_5_13)),\n",
       "         Or(Not(q_0_13), Not(q_6_13)),\n",
       "         Or(Not(q_0_13), Not(q_7_13)),\n",
       "         Or(Not(q_0_13), Not(q_8_13)),\n",
       "         Or(Not(q_0_13), Not(q_9_13)),\n",
       "         Or(Not(q_0_13), Not(q_10_13)),\n",
       "         Or(Not(q_0_13), Not(q_11_13)),\n",
       "         Or(Not(q_0_13), Not(q_12_13)),\n",
       "         Or(Not(q_0_13), Not(q_13_13)),\n",
       "         Or(Not(q_0_13), Not(q_14_13)),\n",
       "         Or(Not(q_1_13), Not(q_2_13)),\n",
       "         Or(Not(q_1_13), Not(q_3_13)),\n",
       "         Or(Not(q_1_13), Not(q_4_13)),\n",
       "         Or(Not(q_1_13), Not(q_5_13)),\n",
       "         Or(Not(q_1_13), Not(q_6_13)),\n",
       "         Or(Not(q_1_13), Not(q_7_13)),\n",
       "         Or(Not(q_1_13), Not(q_8_13)),\n",
       "         Or(Not(q_1_13), Not(q_9_13)),\n",
       "         Or(Not(q_1_13), Not(q_10_13)),\n",
       "         Or(Not(q_1_13), Not(q_11_13)),\n",
       "         Or(Not(q_1_13), Not(q_12_13)),\n",
       "         Or(Not(q_1_13), Not(q_13_13)),\n",
       "         Or(Not(q_1_13), Not(q_14_13)),\n",
       "         Or(Not(q_2_13), Not(q_3_13)),\n",
       "         Or(Not(q_2_13), Not(q_4_13)),\n",
       "         Or(Not(q_2_13), Not(q_5_13)),\n",
       "         Or(Not(q_2_13), Not(q_6_13)),\n",
       "         Or(Not(q_2_13), Not(q_7_13)),\n",
       "         Or(Not(q_2_13), Not(q_8_13)),\n",
       "         Or(Not(q_2_13), Not(q_9_13)),\n",
       "         Or(Not(q_2_13), Not(q_10_13)),\n",
       "         Or(Not(q_2_13), Not(q_11_13)),\n",
       "         Or(Not(q_2_13), Not(q_12_13)),\n",
       "         Or(Not(q_2_13), Not(q_13_13)),\n",
       "         Or(Not(q_2_13), Not(q_14_13)),\n",
       "         Or(Not(q_3_13), Not(q_4_13)),\n",
       "         Or(Not(q_3_13), Not(q_5_13)),\n",
       "         Or(Not(q_3_13), Not(q_6_13)),\n",
       "         Or(Not(q_3_13), Not(q_7_13)),\n",
       "         Or(Not(q_3_13), Not(q_8_13)),\n",
       "         Or(Not(q_3_13), Not(q_9_13)),\n",
       "         Or(Not(q_3_13), Not(q_10_13)),\n",
       "         Or(Not(q_3_13), Not(q_11_13)),\n",
       "         Or(Not(q_3_13), Not(q_12_13)),\n",
       "         Or(Not(q_3_13), Not(q_13_13)),\n",
       "         Or(Not(q_3_13), Not(q_14_13)),\n",
       "         Or(Not(q_4_13), Not(q_5_13)),\n",
       "         Or(Not(q_4_13), Not(q_6_13)),\n",
       "         Or(Not(q_4_13), Not(q_7_13)),\n",
       "         Or(Not(q_4_13), Not(q_8_13)),\n",
       "         Or(Not(q_4_13), Not(q_9_13)),\n",
       "         Or(Not(q_4_13), Not(q_10_13)),\n",
       "         Or(Not(q_4_13), Not(q_11_13)),\n",
       "         Or(Not(q_4_13), Not(q_12_13)),\n",
       "         Or(Not(q_4_13), Not(q_13_13)),\n",
       "         Or(Not(q_4_13), Not(q_14_13)),\n",
       "         Or(Not(q_5_13), Not(q_6_13)),\n",
       "         Or(Not(q_5_13), Not(q_7_13)),\n",
       "         Or(Not(q_5_13), Not(q_8_13)),\n",
       "         Or(Not(q_5_13), Not(q_9_13)),\n",
       "         Or(Not(q_5_13), Not(q_10_13)),\n",
       "         Or(Not(q_5_13), Not(q_11_13)),\n",
       "         Or(Not(q_5_13), Not(q_12_13)),\n",
       "         Or(Not(q_5_13), Not(q_13_13)),\n",
       "         Or(Not(q_5_13), Not(q_14_13)),\n",
       "         Or(Not(q_6_13), Not(q_7_13)),\n",
       "         Or(Not(q_6_13), Not(q_8_13)),\n",
       "         Or(Not(q_6_13), Not(q_9_13)),\n",
       "         Or(Not(q_6_13), Not(q_10_13)),\n",
       "         Or(Not(q_6_13), Not(q_11_13)),\n",
       "         Or(Not(q_6_13), Not(q_12_13)),\n",
       "         Or(Not(q_6_13), Not(q_13_13)),\n",
       "         Or(Not(q_6_13), Not(q_14_13)),\n",
       "         Or(Not(q_7_13), Not(q_8_13)),\n",
       "         Or(Not(q_7_13), Not(q_9_13)),\n",
       "         Or(Not(q_7_13), Not(q_10_13)),\n",
       "         Or(Not(q_7_13), Not(q_11_13)),\n",
       "         Or(Not(q_7_13), Not(q_12_13)),\n",
       "         Or(Not(q_7_13), Not(q_13_13)),\n",
       "         Or(Not(q_7_13), Not(q_14_13)),\n",
       "         Or(Not(q_8_13), Not(q_9_13)),\n",
       "         Or(Not(q_8_13), Not(q_10_13)),\n",
       "         Or(Not(q_8_13), Not(q_11_13)),\n",
       "         Or(Not(q_8_13), Not(q_12_13)),\n",
       "         Or(Not(q_8_13), Not(q_13_13)),\n",
       "         Or(Not(q_8_13), Not(q_14_13)),\n",
       "         Or(Not(q_9_13), Not(q_10_13)),\n",
       "         Or(Not(q_9_13), Not(q_11_13)),\n",
       "         Or(Not(q_9_13), Not(q_12_13)),\n",
       "         Or(Not(q_9_13), Not(q_13_13)),\n",
       "         Or(Not(q_9_13), Not(q_14_13)),\n",
       "         Or(Not(q_10_13), Not(q_11_13)),\n",
       "         Or(Not(q_10_13), Not(q_12_13)),\n",
       "         Or(Not(q_10_13), Not(q_13_13)),\n",
       "         Or(Not(q_10_13), Not(q_14_13)),\n",
       "         Or(Not(q_11_13), Not(q_12_13)),\n",
       "         Or(Not(q_11_13), Not(q_13_13)),\n",
       "         Or(Not(q_11_13), Not(q_14_13)),\n",
       "         Or(Not(q_12_13), Not(q_13_13)),\n",
       "         Or(Not(q_12_13), Not(q_14_13)),\n",
       "         Or(Not(q_13_13), Not(q_14_13))),\n",
       "     Or(q_0_13,\n",
       "        q_1_13,\n",
       "        q_2_13,\n",
       "        q_3_13,\n",
       "        q_4_13,\n",
       "        q_5_13,\n",
       "        q_6_13,\n",
       "        q_7_13,\n",
       "        q_8_13,\n",
       "        q_9_13,\n",
       "        q_10_13,\n",
       "        q_11_13,\n",
       "        q_12_13,\n",
       "        q_13_13,\n",
       "        q_14_13)), And(And(Or(Not(q_0_14), Not(q_1_14)),\n",
       "         Or(Not(q_0_14), Not(q_2_14)),\n",
       "         Or(Not(q_0_14), Not(q_3_14)),\n",
       "         Or(Not(q_0_14), Not(q_4_14)),\n",
       "         Or(Not(q_0_14), Not(q_5_14)),\n",
       "         Or(Not(q_0_14), Not(q_6_14)),\n",
       "         Or(Not(q_0_14), Not(q_7_14)),\n",
       "         Or(Not(q_0_14), Not(q_8_14)),\n",
       "         Or(Not(q_0_14), Not(q_9_14)),\n",
       "         Or(Not(q_0_14), Not(q_10_14)),\n",
       "         Or(Not(q_0_14), Not(q_11_14)),\n",
       "         Or(Not(q_0_14), Not(q_12_14)),\n",
       "         Or(Not(q_0_14), Not(q_13_14)),\n",
       "         Or(Not(q_0_14), Not(q_14_14)),\n",
       "         Or(Not(q_1_14), Not(q_2_14)),\n",
       "         Or(Not(q_1_14), Not(q_3_14)),\n",
       "         Or(Not(q_1_14), Not(q_4_14)),\n",
       "         Or(Not(q_1_14), Not(q_5_14)),\n",
       "         Or(Not(q_1_14), Not(q_6_14)),\n",
       "         Or(Not(q_1_14), Not(q_7_14)),\n",
       "         Or(Not(q_1_14), Not(q_8_14)),\n",
       "         Or(Not(q_1_14), Not(q_9_14)),\n",
       "         Or(Not(q_1_14), Not(q_10_14)),\n",
       "         Or(Not(q_1_14), Not(q_11_14)),\n",
       "         Or(Not(q_1_14), Not(q_12_14)),\n",
       "         Or(Not(q_1_14), Not(q_13_14)),\n",
       "         Or(Not(q_1_14), Not(q_14_14)),\n",
       "         Or(Not(q_2_14), Not(q_3_14)),\n",
       "         Or(Not(q_2_14), Not(q_4_14)),\n",
       "         Or(Not(q_2_14), Not(q_5_14)),\n",
       "         Or(Not(q_2_14), Not(q_6_14)),\n",
       "         Or(Not(q_2_14), Not(q_7_14)),\n",
       "         Or(Not(q_2_14), Not(q_8_14)),\n",
       "         Or(Not(q_2_14), Not(q_9_14)),\n",
       "         Or(Not(q_2_14), Not(q_10_14)),\n",
       "         Or(Not(q_2_14), Not(q_11_14)),\n",
       "         Or(Not(q_2_14), Not(q_12_14)),\n",
       "         Or(Not(q_2_14), Not(q_13_14)),\n",
       "         Or(Not(q_2_14), Not(q_14_14)),\n",
       "         Or(Not(q_3_14), Not(q_4_14)),\n",
       "         Or(Not(q_3_14), Not(q_5_14)),\n",
       "         Or(Not(q_3_14), Not(q_6_14)),\n",
       "         Or(Not(q_3_14), Not(q_7_14)),\n",
       "         Or(Not(q_3_14), Not(q_8_14)),\n",
       "         Or(Not(q_3_14), Not(q_9_14)),\n",
       "         Or(Not(q_3_14), Not(q_10_14)),\n",
       "         Or(Not(q_3_14), Not(q_11_14)),\n",
       "         Or(Not(q_3_14), Not(q_12_14)),\n",
       "         Or(Not(q_3_14), Not(q_13_14)),\n",
       "         Or(Not(q_3_14), Not(q_14_14)),\n",
       "         Or(Not(q_4_14), Not(q_5_14)),\n",
       "         Or(Not(q_4_14), Not(q_6_14)),\n",
       "         Or(Not(q_4_14), Not(q_7_14)),\n",
       "         Or(Not(q_4_14), Not(q_8_14)),\n",
       "         Or(Not(q_4_14), Not(q_9_14)),\n",
       "         Or(Not(q_4_14), Not(q_10_14)),\n",
       "         Or(Not(q_4_14), Not(q_11_14)),\n",
       "         Or(Not(q_4_14), Not(q_12_14)),\n",
       "         Or(Not(q_4_14), Not(q_13_14)),\n",
       "         Or(Not(q_4_14), Not(q_14_14)),\n",
       "         Or(Not(q_5_14), Not(q_6_14)),\n",
       "         Or(Not(q_5_14), Not(q_7_14)),\n",
       "         Or(Not(q_5_14), Not(q_8_14)),\n",
       "         Or(Not(q_5_14), Not(q_9_14)),\n",
       "         Or(Not(q_5_14), Not(q_10_14)),\n",
       "         Or(Not(q_5_14), Not(q_11_14)),\n",
       "         Or(Not(q_5_14), Not(q_12_14)),\n",
       "         Or(Not(q_5_14), Not(q_13_14)),\n",
       "         Or(Not(q_5_14), Not(q_14_14)),\n",
       "         Or(Not(q_6_14), Not(q_7_14)),\n",
       "         Or(Not(q_6_14), Not(q_8_14)),\n",
       "         Or(Not(q_6_14), Not(q_9_14)),\n",
       "         Or(Not(q_6_14), Not(q_10_14)),\n",
       "         Or(Not(q_6_14), Not(q_11_14)),\n",
       "         Or(Not(q_6_14), Not(q_12_14)),\n",
       "         Or(Not(q_6_14), Not(q_13_14)),\n",
       "         Or(Not(q_6_14), Not(q_14_14)),\n",
       "         Or(Not(q_7_14), Not(q_8_14)),\n",
       "         Or(Not(q_7_14), Not(q_9_14)),\n",
       "         Or(Not(q_7_14), Not(q_10_14)),\n",
       "         Or(Not(q_7_14), Not(q_11_14)),\n",
       "         Or(Not(q_7_14), Not(q_12_14)),\n",
       "         Or(Not(q_7_14), Not(q_13_14)),\n",
       "         Or(Not(q_7_14), Not(q_14_14)),\n",
       "         Or(Not(q_8_14), Not(q_9_14)),\n",
       "         Or(Not(q_8_14), Not(q_10_14)),\n",
       "         Or(Not(q_8_14), Not(q_11_14)),\n",
       "         Or(Not(q_8_14), Not(q_12_14)),\n",
       "         Or(Not(q_8_14), Not(q_13_14)),\n",
       "         Or(Not(q_8_14), Not(q_14_14)),\n",
       "         Or(Not(q_9_14), Not(q_10_14)),\n",
       "         Or(Not(q_9_14), Not(q_11_14)),\n",
       "         Or(Not(q_9_14), Not(q_12_14)),\n",
       "         Or(Not(q_9_14), Not(q_13_14)),\n",
       "         Or(Not(q_9_14), Not(q_14_14)),\n",
       "         Or(Not(q_10_14), Not(q_11_14)),\n",
       "         Or(Not(q_10_14), Not(q_12_14)),\n",
       "         Or(Not(q_10_14), Not(q_13_14)),\n",
       "         Or(Not(q_10_14), Not(q_14_14)),\n",
       "         Or(Not(q_11_14), Not(q_12_14)),\n",
       "         Or(Not(q_11_14), Not(q_13_14)),\n",
       "         Or(Not(q_11_14), Not(q_14_14)),\n",
       "         Or(Not(q_12_14), Not(q_13_14)),\n",
       "         Or(Not(q_12_14), Not(q_14_14)),\n",
       "         Or(Not(q_13_14), Not(q_14_14))),\n",
       "     Or(q_0_14,\n",
       "        q_1_14,\n",
       "        q_2_14,\n",
       "        q_3_14,\n",
       "        q_4_14,\n",
       "        q_5_14,\n",
       "        q_6_14,\n",
       "        q_7_14,\n",
       "        q_8_14,\n",
       "        q_9_14,\n",
       "        q_10_14,\n",
       "        q_11_14,\n",
       "        q_12_14,\n",
       "        q_13_14,\n",
       "        q_14_14)), Or(Not(q_0_0), Not(q_1_1)), Or(Not(q_0_0), Not(q_2_2)), Or(Not(q_0_0), Not(q_3_3)), Or(Not(q_0_0), Not(q_4_4)), Or(Not(q_0_0), Not(q_5_5)), Or(Not(q_0_0), Not(q_6_6)), Or(Not(q_0_0), Not(q_7_7)), Or(Not(q_0_0), Not(q_8_8)), Or(Not(q_0_0), Not(q_9_9)), Or(Not(q_0_0), Not(q_10_10)), Or(Not(q_0_0), Not(q_11_11)), Or(Not(q_0_0), Not(q_12_12)), Or(Not(q_0_0), Not(q_13_13)), Or(Not(q_0_0), Not(q_14_14)), Or(Not(q_0_1), Not(q_1_0)), Or(Not(q_0_1), Not(q_1_2)), Or(Not(q_0_1), Not(q_2_3)), Or(Not(q_0_1), Not(q_3_4)), Or(Not(q_0_1), Not(q_4_5)), Or(Not(q_0_1), Not(q_5_6)), Or(Not(q_0_1), Not(q_6_7)), Or(Not(q_0_1), Not(q_7_8)), Or(Not(q_0_1), Not(q_8_9)), Or(Not(q_0_1), Not(q_9_10)), Or(Not(q_0_1), Not(q_10_11)), Or(Not(q_0_1), Not(q_11_12)), Or(Not(q_0_1), Not(q_12_13)), Or(Not(q_0_1), Not(q_13_14)), Or(Not(q_0_2), Not(q_1_1)), Or(Not(q_0_2), Not(q_1_3)), Or(Not(q_0_2), Not(q_2_0)), Or(Not(q_0_2), Not(q_2_4)), Or(Not(q_0_2), Not(q_3_5)), Or(Not(q_0_2), Not(q_4_6)), Or(Not(q_0_2), Not(q_5_7)), Or(Not(q_0_2), Not(q_6_8)), Or(Not(q_0_2), Not(q_7_9)), Or(Not(q_0_2), Not(q_8_10)), Or(Not(q_0_2), Not(q_9_11)), Or(Not(q_0_2), Not(q_10_12)), Or(Not(q_0_2), Not(q_11_13)), Or(Not(q_0_2), Not(q_12_14)), Or(Not(q_0_3), Not(q_1_2)), Or(Not(q_0_3), Not(q_1_4)), Or(Not(q_0_3), Not(q_2_1)), Or(Not(q_0_3), Not(q_2_5)), Or(Not(q_0_3), Not(q_3_0)), Or(Not(q_0_3), Not(q_3_6)), Or(Not(q_0_3), Not(q_4_7)), Or(Not(q_0_3), Not(q_5_8)), Or(Not(q_0_3), Not(q_6_9)), Or(Not(q_0_3), Not(q_7_10)), Or(Not(q_0_3), Not(q_8_11)), Or(Not(q_0_3), Not(q_9_12)), Or(Not(q_0_3), Not(q_10_13)), Or(Not(q_0_3), Not(q_11_14)), Or(Not(q_0_4), Not(q_1_3)), Or(Not(q_0_4), Not(q_1_5)), Or(Not(q_0_4), Not(q_2_2)), Or(Not(q_0_4), Not(q_2_6)), Or(Not(q_0_4), Not(q_3_1)), Or(Not(q_0_4), Not(q_3_7)), Or(Not(q_0_4), Not(q_4_0)), Or(Not(q_0_4), Not(q_4_8)), Or(Not(q_0_4), Not(q_5_9)), Or(Not(q_0_4), Not(q_6_10)), Or(Not(q_0_4), Not(q_7_11)), Or(Not(q_0_4), Not(q_8_12)), Or(Not(q_0_4), Not(q_9_13)), Or(Not(q_0_4), Not(q_10_14)), Or(Not(q_0_5), Not(q_1_4)), Or(Not(q_0_5), Not(q_1_6)), Or(Not(q_0_5), Not(q_2_3)), Or(Not(q_0_5), Not(q_2_7)), Or(Not(q_0_5), Not(q_3_2)), Or(Not(q_0_5), Not(q_3_8)), Or(Not(q_0_5), Not(q_4_1)), Or(Not(q_0_5), Not(q_4_9)), Or(Not(q_0_5), Not(q_5_0)), Or(Not(q_0_5), Not(q_5_10)), Or(Not(q_0_5), Not(q_6_11)), Or(Not(q_0_5), Not(q_7_12)), Or(Not(q_0_5), Not(q_8_13)), Or(Not(q_0_5), Not(q_9_14)), Or(Not(q_0_6), Not(q_1_5)), Or(Not(q_0_6), Not(q_1_7)), Or(Not(q_0_6), Not(q_2_4)), Or(Not(q_0_6), Not(q_2_8)), Or(Not(q_0_6), Not(q_3_3)), Or(Not(q_0_6), Not(q_3_9)), Or(Not(q_0_6), Not(q_4_2)), Or(Not(q_0_6), Not(q_4_10)), Or(Not(q_0_6), Not(q_5_1)), Or(Not(q_0_6), Not(q_5_11)), Or(Not(q_0_6), Not(q_6_0)), Or(Not(q_0_6), Not(q_6_12)), Or(Not(q_0_6), Not(q_7_13)), Or(Not(q_0_6), Not(q_8_14)), Or(Not(q_0_7), Not(q_1_6)), Or(Not(q_0_7), Not(q_1_8)), Or(Not(q_0_7), Not(q_2_5)), Or(Not(q_0_7), Not(q_2_9)), Or(Not(q_0_7), Not(q_3_4)), Or(Not(q_0_7), Not(q_3_10)), Or(Not(q_0_7), Not(q_4_3)), Or(Not(q_0_7), Not(q_4_11)), Or(Not(q_0_7), Not(q_5_2)), Or(Not(q_0_7), Not(q_5_12)), Or(Not(q_0_7), Not(q_6_1)), Or(Not(q_0_7), Not(q_6_13)), Or(Not(q_0_7), Not(q_7_0)), Or(Not(q_0_7), Not(q_7_14)), Or(Not(q_0_8), Not(q_1_7)), Or(Not(q_0_8), Not(q_1_9)), Or(Not(q_0_8), Not(q_2_6)), Or(Not(q_0_8), Not(q_2_10)), Or(Not(q_0_8), Not(q_3_5)), Or(Not(q_0_8), Not(q_3_11)), Or(Not(q_0_8), Not(q_4_4)), Or(Not(q_0_8), Not(q_4_12)), Or(Not(q_0_8), Not(q_5_3)), Or(Not(q_0_8), Not(q_5_13)), Or(Not(q_0_8), Not(q_6_2)), Or(Not(q_0_8), Not(q_6_14)), Or(Not(q_0_8), Not(q_7_1)), Or(Not(q_0_8), Not(q_8_0)), Or(Not(q_0_9), Not(q_1_8)), Or(Not(q_0_9), Not(q_1_10)), Or(Not(q_0_9), Not(q_2_7)), Or(Not(q_0_9), Not(q_2_11)), Or(Not(q_0_9), Not(q_3_6)), Or(Not(q_0_9), Not(q_3_12)), Or(Not(q_0_9), Not(q_4_5)), Or(Not(q_0_9), Not(q_4_13)), Or(Not(q_0_9), Not(q_5_4)), Or(Not(q_0_9), Not(q_5_14)), Or(Not(q_0_9), Not(q_6_3)), Or(Not(q_0_9), Not(q_7_2)), Or(Not(q_0_9), Not(q_8_1)), Or(Not(q_0_9), Not(q_9_0)), Or(Not(q_0_10), Not(q_1_9)), Or(Not(q_0_10), Not(q_1_11)), Or(Not(q_0_10), Not(q_2_8)), Or(Not(q_0_10), Not(q_2_12)), Or(Not(q_0_10), Not(q_3_7)), Or(Not(q_0_10), Not(q_3_13)), Or(Not(q_0_10), Not(q_4_6)), Or(Not(q_0_10), Not(q_4_14)), Or(Not(q_0_10), Not(q_5_5)), Or(Not(q_0_10), Not(q_6_4)), Or(Not(q_0_10), Not(q_7_3)), Or(Not(q_0_10), Not(q_8_2)), Or(Not(q_0_10), Not(q_9_1)), Or(Not(q_0_10), Not(q_10_0)), Or(Not(q_0_11), Not(q_1_10)), Or(Not(q_0_11), Not(q_1_12)), Or(Not(q_0_11), Not(q_2_9)), Or(Not(q_0_11), Not(q_2_13)), Or(Not(q_0_11), Not(q_3_8)), Or(Not(q_0_11), Not(q_3_14)), Or(Not(q_0_11), Not(q_4_7)), Or(Not(q_0_11), Not(q_5_6)), Or(Not(q_0_11), Not(q_6_5)), Or(Not(q_0_11), Not(q_7_4)), Or(Not(q_0_11), Not(q_8_3)), Or(Not(q_0_11), Not(q_9_2)), Or(Not(q_0_11), Not(q_10_1)), Or(Not(q_0_11), Not(q_11_0)), Or(Not(q_0_12), Not(q_1_11)), Or(Not(q_0_12), Not(q_1_13)), Or(Not(q_0_12), Not(q_2_10)), Or(Not(q_0_12), Not(q_2_14)), Or(Not(q_0_12), Not(q_3_9)), Or(Not(q_0_12), Not(q_4_8)), Or(Not(q_0_12), Not(q_5_7)), Or(Not(q_0_12), Not(q_6_6)), Or(Not(q_0_12), Not(q_7_5)), Or(Not(q_0_12), Not(q_8_4)), Or(Not(q_0_12), Not(q_9_3)), Or(Not(q_0_12), Not(q_10_2)), Or(Not(q_0_12), Not(q_11_1)), Or(Not(q_0_12), Not(q_12_0)), Or(Not(q_0_13), Not(q_1_12)), Or(Not(q_0_13), Not(q_1_14)), Or(Not(q_0_13), Not(q_2_11)), Or(Not(q_0_13), Not(q_3_10)), Or(Not(q_0_13), Not(q_4_9)), Or(Not(q_0_13), Not(q_5_8)), Or(Not(q_0_13), Not(q_6_7)), Or(Not(q_0_13), Not(q_7_6)), Or(Not(q_0_13), Not(q_8_5)), Or(Not(q_0_13), Not(q_9_4)), Or(Not(q_0_13), Not(q_10_3)), Or(Not(q_0_13), Not(q_11_2)), Or(Not(q_0_13), Not(q_12_1)), Or(Not(q_0_13), Not(q_13_0)), Or(Not(q_0_14), Not(q_1_13)), Or(Not(q_0_14), Not(q_2_12)), Or(Not(q_0_14), Not(q_3_11)), Or(Not(q_0_14), Not(q_4_10)), Or(Not(q_0_14), Not(q_5_9)), Or(Not(q_0_14), Not(q_6_8)), Or(Not(q_0_14), Not(q_7_7)), Or(Not(q_0_14), Not(q_8_6)), Or(Not(q_0_14), Not(q_9_5)), Or(Not(q_0_14), Not(q_10_4)), Or(Not(q_0_14), Not(q_11_3)), Or(Not(q_0_14), Not(q_12_2)), Or(Not(q_0_14), Not(q_13_1)), Or(Not(q_0_14), Not(q_14_0)), Or(Not(q_1_0), Not(q_0_1)), Or(Not(q_1_0), Not(q_2_1)), Or(Not(q_1_0), Not(q_3_2)), Or(Not(q_1_0), Not(q_4_3)), Or(Not(q_1_0), Not(q_5_4)), Or(Not(q_1_0), Not(q_6_5)), Or(Not(q_1_0), Not(q_7_6)), Or(Not(q_1_0), Not(q_8_7)), Or(Not(q_1_0), Not(q_9_8)), Or(Not(q_1_0), Not(q_10_9)), Or(Not(q_1_0), Not(q_11_10)), Or(Not(q_1_0), Not(q_12_11)), Or(Not(q_1_0), Not(q_13_12)), Or(Not(q_1_0), Not(q_14_13)), Or(Not(q_1_1), Not(q_0_0)), Or(Not(q_1_1), Not(q_0_2)), Or(Not(q_1_1), Not(q_2_0)), Or(Not(q_1_1), Not(q_2_2)), Or(Not(q_1_1), Not(q_3_3)), Or(Not(q_1_1), Not(q_4_4)), Or(Not(q_1_1), Not(q_5_5)), Or(Not(q_1_1), Not(q_6_6)), Or(Not(q_1_1), Not(q_7_7)), Or(Not(q_1_1), Not(q_8_8)), Or(Not(q_1_1), Not(q_9_9)), Or(Not(q_1_1), Not(q_10_10)), Or(Not(q_1_1), Not(q_11_11)), Or(Not(q_1_1), Not(q_12_12)), Or(Not(q_1_1), Not(q_13_13)), Or(Not(q_1_1), Not(q_14_14)), Or(Not(q_1_2), Not(q_0_1)), Or(Not(q_1_2), Not(q_0_3)), Or(Not(q_1_2), Not(q_2_1)), Or(Not(q_1_2), Not(q_2_3)), Or(Not(q_1_2), Not(q_3_0)), Or(Not(q_1_2), Not(q_3_4)), Or(Not(q_1_2), Not(q_4_5)), Or(Not(q_1_2), Not(q_5_6)), Or(Not(q_1_2), Not(q_6_7)), Or(Not(q_1_2), Not(q_7_8)), Or(Not(q_1_2), Not(q_8_9)), Or(Not(q_1_2), Not(q_9_10)), Or(Not(q_1_2), Not(q_10_11)), Or(Not(q_1_2), Not(q_11_12)), Or(Not(q_1_2), Not(q_12_13)), Or(Not(q_1_2), Not(q_13_14)), Or(Not(q_1_3), Not(q_0_2)), Or(Not(q_1_3), Not(q_0_4)), Or(Not(q_1_3), Not(q_2_2)), Or(Not(q_1_3), Not(q_2_4)), Or(Not(q_1_3), Not(q_3_1)), Or(Not(q_1_3), Not(q_3_5)), Or(Not(q_1_3), Not(q_4_0)), Or(Not(q_1_3), Not(q_4_6)), Or(Not(q_1_3), Not(q_5_7)), Or(Not(q_1_3), Not(q_6_8)), Or(Not(q_1_3), Not(q_7_9)), Or(Not(q_1_3), Not(q_8_10)), Or(Not(q_1_3), Not(q_9_11)), Or(Not(q_1_3), Not(q_10_12)), Or(Not(q_1_3), Not(q_11_13)), Or(Not(q_1_3), Not(q_12_14)), Or(Not(q_1_4), Not(q_0_3)), Or(Not(q_1_4), Not(q_0_5)), Or(Not(q_1_4), Not(q_2_3)), Or(Not(q_1_4), Not(q_2_5)), Or(Not(q_1_4), Not(q_3_2)), Or(Not(q_1_4), Not(q_3_6)), Or(Not(q_1_4), Not(q_4_1)), Or(Not(q_1_4), Not(q_4_7)), Or(Not(q_1_4), Not(q_5_0)), Or(Not(q_1_4), Not(q_5_8)), Or(Not(q_1_4), Not(q_6_9)), Or(Not(q_1_4), Not(q_7_10)), Or(Not(q_1_4), Not(q_8_11)), Or(Not(q_1_4), Not(q_9_12)), Or(Not(q_1_4), Not(q_10_13)), Or(Not(q_1_4), Not(q_11_14)), Or(Not(q_1_5), Not(q_0_4)), Or(Not(q_1_5), Not(q_0_6)), Or(Not(q_1_5), Not(q_2_4)), Or(Not(q_1_5), Not(q_2_6)), Or(Not(q_1_5), Not(q_3_3)), Or(Not(q_1_5), Not(q_3_7)), Or(Not(q_1_5), Not(q_4_2)), Or(Not(q_1_5), Not(q_4_8)), Or(Not(q_1_5), Not(q_5_1)), Or(Not(q_1_5), Not(q_5_9)), Or(Not(q_1_5), Not(q_6_0)), Or(Not(q_1_5), Not(q_6_10)), Or(Not(q_1_5), Not(q_7_11)), Or(Not(q_1_5), Not(q_8_12)), Or(Not(q_1_5), Not(q_9_13)), Or(Not(q_1_5), Not(q_10_14)), Or(Not(q_1_6), Not(q_0_5)), Or(Not(q_1_6), Not(q_0_7)), Or(Not(q_1_6), Not(q_2_5)), Or(Not(q_1_6), Not(q_2_7)), Or(Not(q_1_6), Not(q_3_4)), Or(Not(q_1_6), Not(q_3_8)), Or(Not(q_1_6), Not(q_4_3)), 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