minefinder.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "\"\"\"\n",
    "MINESWEEPER AGENT: \n",
    "ALVARENGA, CARLOS - TRIPP, DANIEL - VASQUEZ, SERGIO\n",
    "HOW TO USE IT:\n",
    "1. RUN ALL 4 CELLS IN ORDER\n",
    "2. BE AMAZED\n",
    "\"\"\"\n",
    "\n",
    "import random\n",
    "import re\n",
    "import time\n",
    "\n",
    "\n",
    "class Mines:\n",
    "    def __init__(self, gridsize, numberofmines):\n",
    "        self.flags = []\n",
    "        self.__currgrid = [[' ' for i in range(gridsize)] for i in range(gridsize)]\n",
    "        self.__fail = False;\n",
    "        self.__currcell = (0,0)\n",
    "        emptygrid = [['0' for i in range(gridsize)] for i in range(gridsize)]\n",
    "        self.__mines = self.__getmines(emptygrid, self.__currcell, numberofmines)        \n",
    "        for i, j in self.__mines:\n",
    "            emptygrid[i][j] = 'X'\n",
    "        self.__grid = self.__getnumbers(emptygrid)                \n",
    "\n",
    "        \n",
    "    def __getrandomcell(self, grid):\n",
    "        gridsize = len(grid)\n",
    "\n",
    "        a = random.randint(0, gridsize - 1)\n",
    "        b = random.randint(0, gridsize - 1)\n",
    "\n",
    "        return (a, b)\n",
    "\n",
    "    def __getneighbors(self, grid, rowno, colno):\n",
    "        gridsize = len(grid)\n",
    "        neighbors = []\n",
    "\n",
    "        for i in range(-1, 2):\n",
    "            for j in range(-1, 2):\n",
    "                if i == 0 and j == 0:\n",
    "                    continue\n",
    "                elif -1 < (rowno + i) < gridsize and -1 < (colno + j) < gridsize:\n",
    "                    neighbors.append((rowno + i, colno + j))\n",
    "                    \n",
    "        return neighbors\n",
    "    \n",
    "\n",
    "    def __getmines(self, grid, start, numberofmines):\n",
    "        mines = []\n",
    "        neighbors = self.__getneighbors(grid, *start)\n",
    "\n",
    "        for i in range(numberofmines):\n",
    "            cell = self.__getrandomcell(grid)\n",
    "            while cell == start or cell in mines or cell in neighbors:\n",
    "                cell = self.__getrandomcell(grid)\n",
    "            mines.append(cell)\n",
    "            \n",
    "        return mines\n",
    "    \n",
    "\n",
    "    def __getnumbers(self, grid):\n",
    "        for rowno, row in enumerate(grid):\n",
    "            for colno, cell in enumerate(row):\n",
    "                if cell != 'X':\n",
    "                    values = [grid[r][c] for r, c in self.__getneighbors(grid, rowno, colno)]\n",
    "                    grid[rowno][colno] = str(values.count('X'))\n",
    "                    \n",
    "        return grid\n",
    "    \n",
    "    \n",
    "    def __showcells(self, rowno, colno):        \n",
    "        if self.__currgrid[rowno][colno] != ' ':\n",
    "            return\n",
    "\n",
    "        self.__currgrid[rowno][colno] = self.__grid[rowno][colno]\n",
    "\n",
    "        if self.__grid[rowno][colno] == '0':\n",
    "            for r, c in self.__getneighbors(self.__grid, rowno, colno):\n",
    "                if self.__currgrid[r][c] != 'F':\n",
    "                    self.__showcells(r, c)\n",
    "                    \n",
    "\n",
    "    def __showgrid(self, grid):\n",
    "        gridsize = len(grid)\n",
    "        horizontal = '   ' + (4 * gridsize * '-') + '-'\n",
    "        toplabel = '     '\n",
    "\n",
    "        for i in range(gridsize):\n",
    "            if i < 10:\n",
    "                toplabel = toplabel + str(i) + '   '\n",
    "            else:\n",
    "                toplabel = toplabel + str(i) + '  '\n",
    "\n",
    "        print(toplabel + '\\n' + horizontal)\n",
    "\n",
    "        for idx, i in enumerate(grid):\n",
    "            row = '{0:2} |'.format(idx)\n",
    "            for j in i:\n",
    "                row = row + ' ' + j + ' |'\n",
    "\n",
    "            print(row + '\\n' + horizontal)\n",
    "\n",
    "        print('')\n",
    "    \n",
    "\n",
    "    def checkcell(self, cell):\n",
    "        if not self.__fail:            \n",
    "            self.__currcell = cell\n",
    "            if self.__grid[cell[0]][cell[1]] == 'X':\n",
    "                self.__fail = True;\n",
    "                \n",
    "        return self.__currgrid\n",
    "\n",
    "\n",
    "    def showcurrent(self):        \n",
    "        self.__showcells(*self.__currcell)\n",
    "        self.__showgrid(self.__currgrid)\n",
    "\n",
    "    \n",
    "    def isfail(self):\n",
    "        return self.__fail\n",
    "\n",
    "\n",
    "    def checkmines(self):\n",
    "        if set(self.__mines) == set(self.flags):\n",
    "            return True\n",
    "        else:\n",
    "            return False\n",
    "\n",
    "        \n",
    "if __name__ == '__main__':\n",
    "    gridsize = 16\n",
    "    n_mines = 40\n",
    "#    sweeper = Mines(gridsize, n_mines)\n",
    "#    sweeper.showcurrent()\n",
    "#     while not sweeper.isfail():\n",
    "#         a = random.randint(0, gridsize - 1)\n",
    "#         b = random.randint(0, gridsize - 1)\n",
    "#         sweeper.checkcell((a,b))\n",
    "#         sweeper.showcurrent()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Minefinder:\n",
    "    def __init__(self, game, gridsize):\n",
    "        print(\"Introducing the Minefinder 3000.\")\n",
    "        self.game = game\n",
    "        self.gridsize = gridsize\n",
    "        self.KB = list()\n",
    "        self.squares = list()\n",
    "        self.safe_squares = list()\n",
    "        \n",
    "    def get_nbrs(self, cell):\n",
    "        #print(\"METHOD: GET NBRS\")\n",
    "        nbrs = set()\n",
    "        #print(cell)\n",
    "        for i in range(cell[0] - 1, cell[0] + 2):\n",
    "            for j in range(cell[1] - 1, cell[1] + 2):\n",
    "                if i != cell[0] or j != cell[1]:\n",
    "                    if i >= 0 and j >= 0 and i < gridsize and j < gridsize:\n",
    "                        nbrs.add((i, j))\n",
    "        return nbrs\n",
    "    \n",
    "    \"\"\"This method uses checkcell() method so only use on safe sqaures\"\"\"\n",
    "    def get_hidden_nbrs(self, cell):\n",
    "        #print(\"METHOD: GET HIDDEN NBRS\")\n",
    "        nbrs = set()\n",
    "        for i in range(cell[0] - 1, cell[0] + 2):\n",
    "            for j in range(cell[1] - 1, cell[1] + 2):\n",
    "                if i != cell[0] or j != cell[1]:\n",
    "                    if i >= 0 and j >= 0 and i < gridsize and j < gridsize:\n",
    "                        #print(\"(\", i, \",\", j, \")\", self.game.checkcell(cell)[i][j])\n",
    "                        if self.game.checkcell(cell)[i][j] == \" \":\n",
    "                            nbrs.add((i, j))\n",
    "        return nbrs\n",
    "    \n",
    "    \"\"\"Create a logic statement and add it to the knowledge base\"\"\"\n",
    "    def define_statement(self, cell):\n",
    "        #print(\"METHOD: DEFINE STATEMENT\")\n",
    "        nbrs = self.get_hidden_nbrs(cell)\n",
    "        val = self.game.checkcell(cell)[cell[0]][cell[1]]\n",
    "        return [cell, val, nbrs]\n",
    "    \n",
    "    def update_KB(self, cell):\n",
    "        #print(\"METHOD: UPDATING KB:\")\n",
    "        #print(\"KB\", self.KB)\n",
    "        #print(\"cell\", cell)\n",
    "        for sentence in self.KB:\n",
    "            #print(\"Sentence:\", sentence[0])\n",
    "            if sentence[0] == cell:\n",
    "                #print(\"Match: Sentence not added\")\n",
    "                return\n",
    "        self.KB.append(self.define_statement(cell))\n",
    "        #print(\"end method:\", self.KB)\n",
    "        \n",
    "    def get_fringe_squares(self, check):\n",
    "        #print(\"METHOD: GET FRINGE SQUARES\")\n",
    "        self.squares = list()\n",
    "        for i in range(self.gridsize):\n",
    "            for j in range(self.gridsize):\n",
    "                if sweeper.checkcell(check)[i][j] != \" \" and sweeper.checkcell(check)[i][j] != \"0\":\n",
    "                    self.squares.append(((i, j), sweeper.checkcell(check)[i][j]))\n",
    "        return self.squares\n",
    "    \n",
    "    def start_KB(self):\n",
    "        #print(\"METHOD: STARTING KB\")\n",
    "        self.KB = list()\n",
    "        for square in self.squares:\n",
    "            self.KB.append(self.define_statement(square[0]))\n",
    "            \n",
    "    def get_relevant_sentences(self, KB, square):\n",
    "        #print(\"METHOD: GET RELEVANT SENTENCES\")\n",
    "        clauses = set()\n",
    "        for sentence in KB:\n",
    "            for clause in sentence[2]:\n",
    "                if not clause in clauses:\n",
    "                    clauses.add(clause)\n",
    "        l_clauses = []\n",
    "        for clause in clauses:\n",
    "            l_clauses.append(clause)\n",
    "        combinations = []\n",
    "        for i in range(2 ** len(clauses)):\n",
    "            combinations.append(\"{0:b}\".format(i).zfill(len(clauses)))\n",
    "        #print(\"Getting relevant sentences\")\n",
    "        relevant_sentences = []\n",
    "        #print(\"GETTING RELEVANT SENTENCES:\", square)\n",
    "        for sentence in KB:\n",
    "            #print(sentence)\n",
    "            for clause in sentence[2]:\n",
    "                if clause in l_clauses and not sentence in relevant_sentences:\n",
    "                    relevant_sentences.append(sentence)\n",
    "                    continue\n",
    "        return (l_clauses, combinations, relevant_sentences)\n",
    "            \n",
    "    def easy_inference(self, sentence, flags):\n",
    "        #print(\"METHOD: EASY INFERENCE\")\n",
    "        for sentence in self.KB:\n",
    "            #print(sentence)\n",
    "            if len(sentence[2]) == int(sentence[1]):\n",
    "                for mine in sentence[2]:\n",
    "                    if mine not in flags:\n",
    "                        flags.append(mine)\n",
    "                #print(\"ALL MINES:\", sentence[2])\n",
    "        #print(\"MINES:\", len(flags), flags)\n",
    "        \n",
    "        \"\"\"TAG SENTENCES FOR REMOVAL FROM KB\"\"\"\n",
    "        #print(\"UPDATING KB:\")\n",
    "        tagged_for_removal = []\n",
    "        for i in range(len(self.KB)):\n",
    "            if len(self.KB[i][2]) == int(self.KB[i][1]):\n",
    "                #print(\"hit\", self.KB[i][2], \"\\t\", self.KB[i])\n",
    "                tagged_for_removal.append(i)\n",
    "        #print(tagged_for_removal)\n",
    "        \n",
    "        \"\"\"REMOVE TAGGED ENTRIES FROM KNOWLEDGE BASE\"\"\"\n",
    "        \"\"\"THERE IS AN ERROR HERE\"\"\"\n",
    "        for num in tagged_for_removal:\n",
    "            #print(num)\n",
    "            #print(len(self.KB), num)\n",
    "            del self.KB[num] #ERROR\n",
    "            for i in range(len(tagged_for_removal)):\n",
    "                tagged_for_removal[i] -= 1\n",
    "                \n",
    "        \"\"\"SIMPLIFY KB GIVEN KNOWN MINES\"\"\"\n",
    "        #print(\"SIMPLIFY KB GIVEN KNOWN MINES\")\n",
    "        #print(\"MINES:\", len(flags))\n",
    "        #for mine in flags:\n",
    "            #print(mine, end=\" \")\n",
    "        #print()\n",
    "        #print(\"KB:\", self.KB)\n",
    "        for i in range(len(self.KB)): #for each sentence in KB\n",
    "            for mine in flags:\n",
    "                if mine in self.KB[i][2]:\n",
    "                    #print(\"hit\", self.KB[i][2])\n",
    "                    self.KB[i][2].remove(mine) # set remove flag\n",
    "                    self.KB[i][1] = str(int(self.KB[i][1]) - 1) #decrement count\n",
    "            \n",
    "        #print(\"GETTING SAFE SQUARES (FOR CLICKING):\")\n",
    "        for sentence in self.KB:\n",
    "            if sentence[1] == '0':\n",
    "                for clause in sentence[2]:\n",
    "                    if clause not in self.safe_squares:\n",
    "                        self.safe_squares.append(clause)\n",
    "        #print(\"FLAGS:\", len(flags), flags)\n",
    "        #print(\"SAFE_SQUARES:\", self.safe_squares)\n",
    "        #print()\n",
    "        return flags\n",
    "    \n",
    "    def clear_safe_squares(self):\n",
    "        #print(\"METHOD: CLEAR SAFE SQUARES:\")\n",
    "        while len(self.safe_squares) > 0:\n",
    "            s = self.safe_squares.pop()\n",
    "            #print(\"CHECKING:\", s, \"REMAINING SAFE SQUARES:\", self.safe_squares)\n",
    "            self.game.checkcell(s)\n",
    "            self.game.showcurrent()\n",
    "        #print(\"NO MORE SAFE SQUARES.\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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      "   -----------------------------------------------------------------\n",
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      "   -----------------------------------------------------------------\n",
      "\n",
      "PRINTING...\n",
      "Introducing the Minefinder 3000.\n",
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      "\n",
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      "10 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "12 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "13 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "14 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "15 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 6 |   |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   |   |   |   | 3 | 2 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 8 |   |   |   |   |   | 1 | 0 | 1 | 2 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   |   |   |   |   | 3 | 2 | 2 |   | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "10 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "12 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "13 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "14 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "15 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 6 |   |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   |   |   |   | 3 | 2 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 8 |   |   |   |   |   | 1 | 0 | 1 | 2 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   |   |   |   |   | 3 | 2 | 2 |   | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "10 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "12 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "13 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "14 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "15 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 6 |   |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   |   |   |   | 3 | 2 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 8 |   |   |   |   |   | 1 | 0 | 1 | 2 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   |   |   |   |   | 3 | 2 | 2 |   | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "10 |   |   |   |   |   |   |   |   |   | 1 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "12 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "13 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "14 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "15 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 6 |   |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   |   |   |   | 3 | 2 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 8 |   |   |   |   |   | 1 | 0 | 1 | 2 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   |   |   |   |   | 3 | 2 | 2 |   | 2 | 1 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "10 |   |   |   |   |   |   |   |   |   | 1 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "12 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "13 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "14 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "15 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 6 |   |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   |   |   |   | 3 | 2 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 8 |   |   |   |   |   | 1 | 0 | 1 | 2 |   | 1 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   |   |   |   |   | 3 | 2 | 2 |   | 2 | 1 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "10 |   |   |   |   |   |   |   |   |   | 1 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "12 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "13 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "14 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "15 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 6 |   |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   |   |   |   | 3 | 2 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 8 |   |   |   |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   |   |   |   |   | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "10 |   |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   |   |   |   |   |   |   | 1 | 0 | 0 | 0 | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "12 |   |   |   |   |   |   |   |   | 2 | 0 | 1 | 1 | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "13 |   |   |   |   |   |   |   |   | 1 | 1 | 3 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "14 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "15 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 6 |   |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   |   |   |   | 3 | 2 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 8 |   |   |   |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   |   |   |   |   | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "10 |   |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   |   |   |   |   |   |   | 1 | 0 | 0 | 0 | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "12 |   |   |   |   |   |   |   |   | 2 | 0 | 1 | 1 | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "13 |   |   |   |   |   |   |   |   | 1 | 1 | 3 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "14 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "15 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 6 |   |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   |   |   |   | 3 | 2 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 8 |   |   |   |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   |   |   |   | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "10 |   |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   |   |   |   |   |   |   | 1 | 0 | 0 | 0 | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "12 |   |   |   |   |   |   |   |   | 2 | 0 | 1 | 1 | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "13 |   |   |   |   |   |   |   |   | 1 | 1 | 3 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "14 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "15 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 6 |   |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 |   |   | 3 | 2 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 8 |   |   |   |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   |   |   |   | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "10 |   |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   |   |   |   |   |   |   | 1 | 0 | 0 | 0 | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "12 |   |   |   |   |   |   |   |   | 2 | 0 | 1 | 1 | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "13 |   |   |   |   |   |   |   |   | 1 | 1 | 3 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "14 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "15 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 6 |   |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 |   | 3 | 2 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 8 |   |   |   |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   |   |   |   | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "10 |   |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   |   |   |   |   |   |   | 1 | 0 | 0 | 0 | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "12 |   |   |   |   |   |   |   |   | 2 | 0 | 1 | 1 | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "13 |   |   |   |   |   |   |   |   | 1 | 1 | 3 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "14 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "15 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 6 |   |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 8 |   |   |   |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   |   |   |   | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "10 |   |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   |   |   |   |   |   |   | 1 | 0 | 0 | 0 | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "12 |   |   |   |   |   |   |   |   | 2 | 0 | 1 | 1 | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "13 |   |   |   |   |   |   |   |   | 1 | 1 | 3 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "14 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "15 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 8 |   |   |   |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   |   |   |   | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "10 |   |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   |   |   |   |   |   |   | 1 | 0 | 0 | 0 | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "12 |   |   |   |   |   |   |   |   | 2 | 0 | 1 | 1 | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "13 |   |   |   |   |   |   |   |   | 1 | 1 | 3 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "14 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "15 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 8 |   |   |   |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   |   |   |   | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "10 |   |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   |   |   |   |   |   |   | 1 | 0 | 0 | 0 | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "12 |   |   |   |   |   |   |   |   | 2 | 0 | 1 | 1 | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "13 |   |   |   |   |   |   |   |   | 1 | 1 | 3 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "14 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "15 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 8 |   |   |   |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   |   |   |   | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "10 |   |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   |   |   |   |   |   |   | 1 | 0 | 0 | 0 | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "12 |   |   |   |   |   |   |   |   | 2 | 0 | 1 | 1 | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "13 |   |   |   |   |   |   |   |   | 1 | 1 | 3 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "14 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "15 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 8 |   |   |   |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   |   |   |   | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "10 |   |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   |   |   |   |   |   |   | 1 | 0 | 0 | 0 | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "12 |   |   |   |   |   |   |   |   | 2 | 0 | 1 | 1 | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "13 |   |   |   |   |   |   |   |   | 1 | 1 | 3 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "14 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "15 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 8 |   |   |   |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   |   |   |   | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "10 |   |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   |   |   |   |   |   |   | 1 | 0 | 0 | 0 | 1 | 1 |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "12 |   |   |   |   |   |   |   |   | 2 | 0 | 1 | 1 | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "13 |   |   |   |   |   |   |   |   | 1 | 1 | 3 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "14 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "15 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 8 |   |   |   |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   |   |   |   | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "10 |   |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   |   |   |   |   |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 |   |   |   |   |   |   |   |   | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 |   |   |   |   |   |   |   |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 |   |   |   |   |   |   |   |   |   |   |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 |   |   |   |   |   |   |   |   |   |   |   |   | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 8 |   |   |   |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   |   |   |   | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "10 |   |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   |   |   |   |   |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 |   |   |   |   |   |   |   |   | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 |   |   |   |   |   |   |   |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 |   |   |   |   |   |   |   |   |   |   |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 |   |   |   |   |   |   |   |   |   |   |   |   | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 8 |   |   |   |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   |   |   |   | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "10 |   |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   |   |   |   |   |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 |   |   |   |   |   |   |   |   | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 |   |   |   |   |   |   |   |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 |   |   |   |   |   |   |   |   |   |   |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 |   |   |   |   |   |   |   |   |   |   |   |   | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 3 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 8 |   |   |   |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   |   |   |   | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "10 |   |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   |   |   |   |   |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 |   |   |   |   |   |   |   |   | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 |   |   |   |   |   |   |   |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 |   |   |   |   |   |   |   |   |   |   |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 |   |   |   |   |   |   |   |   |   |   |   |   | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 3 | 4 |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 8 |   |   |   |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   |   |   |   | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "10 |   |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   |   |   |   |   |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 |   |   |   |   |   |   |   |   | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 |   |   |   |   |   |   |   |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 |   |   |   |   |   |   |   |   |   |   |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 |   |   |   |   |   |   |   |   |   |   |   |   | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 3 | 4 |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 8 |   |   | 2 |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   |   |   |   | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "10 |   |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   |   |   |   |   |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 |   |   |   |   |   |   |   |   | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 |   |   |   |   |   |   |   |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 |   |   |   |   |   |   |   |   |   |   |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 |   |   |   |   |   |   |   |   |   |   |   |   | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 | 4 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 3 | 4 |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 8 |   |   | 2 |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   |   |   |   | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "10 |   |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   |   |   |   |   |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 |   |   |   |   |   |   |   |   | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 |   |   |   |   |   |   |   |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 |   |   |   |   |   |   |   |   |   |   |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 |   |   |   |   |   |   |   |   |   |   |   |   | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 | 4 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 3 | 4 |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 8 |   |   | 2 |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   |   |   |   | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "10 |   |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   |   |   |   |   |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 |   |   |   |   |   |   |   |   | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 |   |   |   |   |   |   |   |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 |   |   |   |   |   |   |   |   |   |   |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 |   |   |   |   |   |   |   |   |   |   |   |   | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 | 4 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 3 | 4 |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 8 |   |   | 2 |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   |   |   |   | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "10 |   |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   |   |   |   |   |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 |   |   |   |   |   |   |   |   | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 |   |   |   |   |   |   |   |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 |   |   |   |   |   |   |   |   |   |   |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 |   |   |   |   |   |   |   |   |   |   |   |   | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 | 4 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 3 | 4 |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 8 |   |   | 2 |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   |   |   |   | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "10 |   |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   |   |   |   |   |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 |   |   |   |   |   |   |   |   | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 |   |   |   |   |   |   |   |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 |   |   |   |   |   |   |   |   |   |   |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 |   |   |   |   |   |   |   |   |   |   |   |   | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 | 4 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 3 | 4 |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 8 |   |   | 2 |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   |   |   |   | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "10 |   |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   |   |   |   |   |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 |   |   |   |   |   |   |   |   | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 |   |   |   |   |   |   |   |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 |   |   |   |   |   |   |   |   |   |   |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 |   |   |   |   |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 | 4 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 3 | 4 |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 8 |   |   | 2 |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   |   |   |   | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "10 |   |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 2 |   | 3 |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   |   |   |   |   |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 |   |   |   |   |   |   |   |   | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 |   |   |   |   |   |   |   |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 |   |   |   |   |   |   |   |   |   |   |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 |   |   |   |   |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 | 4 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 3 | 4 |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 8 |   |   | 2 |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 | 2 |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   |   |   |   | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "10 |   |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 2 |   | 3 |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   |   |   |   |   |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 |   |   |   |   |   |   |   |   | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 |   |   |   |   |   |   |   |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 |   |   |   |   |   |   |   |   |   |   |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 |   |   |   |   |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 | 4 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 3 | 4 |   | 2 |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 8 |   |   | 2 |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 | 2 |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   |   |   |   | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "10 |   |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 2 |   | 3 |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   |   |   |   |   |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 |   |   |   |   |   |   |   |   | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 |   |   |   |   |   |   |   |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 |   |   |   |   |   |   |   |   |   |   |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 |   |   |   |   |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 | 4 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 3 | 4 |   | 2 |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 8 |   |   | 2 |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 | 2 |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   |   |   | 2 | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "10 |   |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 2 |   | 3 |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   |   |   |   |   |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 |   |   |   |   |   |   |   |   | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 |   |   |   |   |   |   |   |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 |   |   |   |   |   |   |   |   |   |   |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 |   |   |   |   |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 | 4 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 3 | 4 |   | 2 |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 8 |   |   | 2 |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 | 2 |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   |   | 2 | 2 | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "10 |   |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 2 |   | 3 |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   |   |   |   |   |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 |   |   |   |   |   |   |   |   | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 |   |   |   |   |   |   |   |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 |   |   |   |   |   |   |   |   |   |   |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 |   |   |   |   |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 | 4 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 3 | 4 |   | 2 |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 8 |   |   | 2 |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 | 2 |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   | 2 | 2 | 2 | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "10 |   |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 2 |   | 3 |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   |   |   |   |   |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 |   |   |   |   |   |   |   |   | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 |   |   |   |   |   |   |   |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 |   |   |   |   |   |   |   |   |   |   |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 |   |   |   |   |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 | 4 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 3 | 4 |   | 2 |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 8 | 3 |   | 2 |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 | 2 |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   | 2 | 2 | 2 | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "10 |   |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 2 |   | 3 |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   |   |   |   |   |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 |   |   |   |   |   |   |   |   | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 |   |   |   |   |   |   |   |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 |   |   |   |   |   |   |   |   |   |   |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 |   |   |   |   |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 | 4 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 | 5 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 3 | 4 |   | 2 |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 8 | 3 |   | 2 |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 | 2 |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   | 2 | 2 | 2 | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "10 |   |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 2 |   | 3 |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   |   |   |   |   |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 |   |   |   |   |   |   |   |   | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 |   |   |   |   |   |   |   |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 |   |   |   |   |   |   |   |   |   |   |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 |   |   |   |   |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 | 4 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   | 5 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 | 5 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 3 | 4 |   | 2 |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 8 | 3 |   | 2 |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 | 2 |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   | 2 | 2 | 2 | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "10 |   |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 2 |   | 3 |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   |   |   |   |   |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 |   |   |   |   |   |   |   |   | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 |   |   |   |   |   |   |   |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 |   |   |   |   |   |   |   |   |   |   |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 |   |   |   |   |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 1 | 0 | 1 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 1 | 2 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 | 4 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   | 5 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 | 5 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 3 | 4 |   | 2 |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 8 | 3 |   | 2 |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 | 2 |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   | 2 | 2 | 2 | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "10 |   |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 2 |   | 3 |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   |   |   |   |   |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 |   |   |   |   |   |   |   |   | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 |   |   |   |   |   |   |   |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 |   |   |   |   |   |   |   |   |   |   |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 |   |   |   |   |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 1 | 0 | 1 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 1 | 2 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 | 4 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   | 5 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 | 5 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 3 | 4 |   | 2 |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 8 | 3 |   | 2 |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 | 2 |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   | 2 | 2 | 2 | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      "10 |   |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 2 |   | 3 |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   |   |   |   |   |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 |   |   |   |   |   |   |   |   | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 |   |   |   |   |   |   |   |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 |   |   |   |   |   |   |   |   |   |   |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 |   |   |   |   |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 1 | 0 | 1 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 1 | 2 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 | 4 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   | 5 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 | 5 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 3 | 4 |   | 2 |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 8 | 3 |   | 2 |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 | 2 |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   | 2 | 2 | 2 | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   |   | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "10 |   |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 2 |   | 3 |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   |   |   |   |   |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 |   |   |   |   |   |   |   |   | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 |   |   |   |   |   |   |   |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 |   |   |   |   |   |   |   |   |   |   |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 |   |   |   |   |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 1 | 0 | 1 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 1 | 2 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 | 4 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   | 5 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 | 5 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 3 | 4 |   | 2 |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 8 | 3 |   | 2 |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 | 2 |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   | 2 | 2 | 2 | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   |   | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "10 |   |   |   |   | 1 |   |   |   | 2 | 1 | 0 | 0 | 2 |   | 3 |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   |   |   |   |   |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 |   |   |   |   |   |   |   |   | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 |   |   |   |   |   |   |   |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 |   |   |   |   |   |   |   |   |   |   |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 |   |   |   |   |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 1 | 0 | 1 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 1 | 2 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 | 4 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   | 5 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 | 5 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 3 | 4 |   | 2 |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 8 | 3 |   | 2 |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 | 2 |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   | 2 | 2 | 2 | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   |   | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "10 |   |   | 1 | 0 | 1 |   |   |   | 2 | 1 | 0 | 0 | 2 |   | 3 |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   | 1 | 0 | 2 |   |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 | 1 | 1 | 1 | 0 | 1 |   |   |   | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 | 0 | 0 | 0 | 0 | 1 |   |   |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 | 0 | 0 | 0 | 1 | 1 |   |   |   |   |   |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 1 | 0 | 1 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 1 | 2 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 | 4 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   | 5 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 | 5 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 3 | 4 |   | 2 |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 8 | 3 |   | 2 |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 | 2 |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   | 2 | 2 | 2 | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   |   | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "10 |   |   | 1 | 0 | 1 |   |   |   | 2 | 1 | 0 | 0 | 2 |   | 3 |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   | 1 | 0 | 2 |   |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 | 1 | 1 | 1 | 0 | 1 |   |   |   | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 | 0 | 0 | 0 | 0 | 1 |   |   |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 | 0 | 0 | 0 | 1 | 1 |   |   |   |   |   |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 1 | 0 | 1 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 1 | 2 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 | 4 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   | 5 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 | 5 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 3 | 4 |   | 2 |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 8 | 3 |   | 2 |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 | 2 |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   | 2 | 2 | 2 | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   |   | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "10 | 2 |   | 1 | 0 | 1 |   |   |   | 2 | 1 | 0 | 0 | 2 |   | 3 |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   | 1 | 0 | 2 |   |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 | 1 | 1 | 1 | 0 | 1 |   |   |   | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 | 0 | 0 | 0 | 0 | 1 |   |   |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 | 0 | 0 | 0 | 1 | 1 |   |   |   |   |   |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 1 | 0 | 1 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 1 | 2 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 | 4 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   | 5 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 | 5 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 3 | 4 |   | 2 |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 8 | 3 |   | 2 |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 | 2 |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   | 2 | 2 | 2 | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   |   | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "10 | 2 | 2 | 1 | 0 | 1 |   |   |   | 2 | 1 | 0 | 0 | 2 |   | 3 |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   | 1 | 0 | 2 |   |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 | 1 | 1 | 1 | 0 | 1 |   |   |   | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 | 0 | 0 | 0 | 0 | 1 |   |   |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 | 0 | 0 | 0 | 1 | 1 |   |   |   |   |   |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 1 | 0 | 1 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 1 | 2 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 | 1 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 | 4 |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   | 5 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 | 5 |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 3 | 4 |   | 2 |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 8 | 3 |   | 2 |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 | 2 |   |   |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   | 2 | 2 | 2 | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   | 3 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "10 | 2 | 2 | 1 | 0 | 1 |   |   |   | 2 | 1 | 0 | 0 | 2 |   | 3 |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   | 1 | 0 | 2 |   |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 | 1 | 1 | 1 | 0 | 1 |   |   |   | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 | 0 | 0 | 0 | 0 | 1 |   |   |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 | 0 | 0 | 0 | 1 | 1 |   |   |   |   |   |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 1 | 0 | 1 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 1 | 2 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 | 1 |   | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 | 4 |   | 2 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   | 5 |   |   |   | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 | 5 |   |   | 3 | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   | 2 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 3 | 4 |   | 2 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 8 | 3 |   | 2 |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 | 2 | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   | 2 | 2 | 2 | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   | 3 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "10 | 2 | 2 | 1 | 0 | 1 |   |   |   | 2 | 1 | 0 | 0 | 2 |   | 3 |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   | 1 | 0 | 2 |   |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 | 1 | 1 | 1 | 0 | 1 |   |   |   | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 | 0 | 0 | 0 | 0 | 1 |   |   |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 | 0 | 0 | 0 | 1 | 1 |   |   |   |   |   |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 1 | 0 | 1 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 1 | 2 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 | 1 |   | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 | 4 |   | 2 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   | 5 |   |   |   | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 | 5 |   |   | 3 | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   | 2 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 3 | 4 |   | 2 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 8 | 3 |   | 2 |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 | 2 | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   | 2 | 2 | 2 | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   | 3 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "10 | 2 | 2 | 1 | 0 | 1 |   |   |   | 2 | 1 | 0 | 0 | 2 |   | 3 |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   | 1 | 0 | 2 |   |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 | 1 | 1 | 1 | 0 | 1 |   |   |   | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 | 0 | 0 | 0 | 0 | 1 |   |   |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 | 0 | 0 | 0 | 1 | 1 |   |   |   |   |   |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 1 | 0 | 1 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 1 | 2 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 | 1 |   | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 | 4 |   | 2 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   | 5 |   |   |   | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 | 5 |   |   | 3 | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   | 2 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 3 | 4 |   | 2 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 8 | 3 |   | 2 |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 | 2 | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   | 2 | 2 | 2 | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   | 3 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "10 | 2 | 2 | 1 | 0 | 1 |   |   |   | 2 | 1 | 0 | 0 | 2 |   | 3 |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   | 1 | 0 | 2 |   |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 | 1 | 1 | 1 | 0 | 1 |   |   |   | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 | 0 | 0 | 0 | 0 | 1 |   |   |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 | 0 | 0 | 0 | 1 | 1 |   |   |   |   |   |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 1 | 0 | 1 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 1 | 2 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 | 1 |   | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 | 4 |   | 2 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   | 5 |   |   |   | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 | 5 |   |   | 3 | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   | 2 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 3 | 4 |   | 2 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 8 | 3 |   | 2 |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 | 2 | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   | 2 | 2 | 2 | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   | 3 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "10 | 2 | 2 | 1 | 0 | 1 |   |   |   | 2 | 1 | 0 | 0 | 2 |   | 3 |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   | 1 | 0 | 2 |   |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 | 1 | 1 | 1 | 0 | 1 |   |   |   | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 | 0 | 0 | 0 | 0 | 1 |   |   |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 | 0 | 0 | 0 | 1 | 1 |   |   |   |   |   |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 1 | 0 | 1 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 1 | 2 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 | 1 |   | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 | 4 | 3 | 2 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   | 5 |   |   |   | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 | 5 |   |   | 3 | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   | 2 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 3 | 4 |   | 2 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 8 | 3 |   | 2 |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 | 2 | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   | 2 | 2 | 2 | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   | 3 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "10 | 2 | 2 | 1 | 0 | 1 |   |   |   | 2 | 1 | 0 | 0 | 2 |   | 3 |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   | 1 | 0 | 2 |   |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 | 1 | 1 | 1 | 0 | 1 |   |   |   | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 | 0 | 0 | 0 | 0 | 1 |   |   |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 | 0 | 0 | 0 | 1 | 1 |   |   |   |   |   |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 1 | 0 | 1 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 1 | 2 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 | 1 |   | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 | 4 | 3 | 2 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   | 5 |   |   |   | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 | 5 |   |   | 3 | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   | 2 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 3 | 4 |   | 2 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 8 | 3 |   | 2 |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 | 2 | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   | 2 | 2 | 2 | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   | 3 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "10 | 2 | 2 | 1 | 0 | 1 |   |   |   | 2 | 1 | 0 | 0 | 2 |   | 3 |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   | 1 | 0 | 2 |   |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 | 1 | 1 | 1 | 0 | 1 |   |   |   | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 | 0 | 0 | 0 | 0 | 1 |   |   |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 | 0 | 0 | 0 | 1 | 1 |   |   |   |   |   |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 1 | 0 | 1 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 1 | 2 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 | 1 |   | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 | 4 | 3 | 2 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   | 5 |   |   |   | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 | 5 |   |   | 3 | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   | 2 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 3 | 4 |   | 2 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 8 | 3 |   | 2 |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 | 2 | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   | 2 | 2 | 2 | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   | 3 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "10 | 2 | 2 | 1 | 0 | 1 |   |   |   | 2 | 1 | 0 | 0 | 2 |   | 3 |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   | 1 | 0 | 2 |   |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 | 1 | 1 | 1 | 0 | 1 |   |   |   | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 | 0 | 0 | 0 | 0 | 1 |   |   |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 | 0 | 0 | 0 | 1 | 1 | 1 |   |   |   |   |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 1 | 0 | 1 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 1 | 2 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 | 1 |   | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 | 4 | 3 | 2 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   | 5 |   |   |   | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 | 5 |   |   | 3 | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   | 2 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 3 | 4 |   | 2 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 8 | 3 |   | 2 |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 | 2 | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   | 2 | 2 | 2 | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   | 3 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "10 | 2 | 2 | 1 | 0 | 1 |   |   |   | 2 | 1 | 0 | 0 | 2 |   | 3 |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   | 1 | 0 | 2 |   |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 | 1 | 1 | 1 | 0 | 1 |   |   |   | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 | 0 | 0 | 0 | 0 | 1 | 1 |   |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 | 0 | 0 | 0 | 1 | 1 | 1 |   |   |   |   |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 | 0 | 0 | 0 | 1 |   |   |   |   |   |   |   | 2 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 1 | 0 | 1 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 1 | 2 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 | 1 |   | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 | 4 | 3 | 2 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   | 5 |   |   |   | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 | 5 |   |   | 3 | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   | 2 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 3 | 4 |   | 2 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 8 | 3 |   | 2 |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 | 2 | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   | 2 | 2 | 2 | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   | 3 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "10 | 2 | 2 | 1 | 0 | 1 |   |   |   | 2 | 1 | 0 | 0 | 2 |   | 3 |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   | 1 | 0 | 2 |   |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 | 1 | 1 | 1 | 0 | 1 |   |   |   | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 | 0 | 0 | 0 | 0 | 1 | 1 |   |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 | 0 | 0 | 0 | 1 | 1 | 1 |   |   |   |   |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 | 0 | 0 | 0 | 1 |   | 1 |   |   |   |   |   | 2 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 1 | 0 | 1 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 1 | 2 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 | 1 |   | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 | 4 | 3 | 2 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   | 5 |   |   |   | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 | 5 |   |   | 3 | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   | 2 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 3 | 4 |   | 2 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 8 | 3 |   | 2 |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 | 2 | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   | 2 | 2 | 2 | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   | 3 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "10 | 2 | 2 | 1 | 0 | 1 |   |   |   | 2 | 1 | 0 | 0 | 2 |   | 3 |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 |   |   | 1 | 0 | 2 | 4 |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 | 1 | 1 | 1 | 0 | 1 |   |   |   | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 | 0 | 0 | 0 | 0 | 1 | 1 |   |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 | 0 | 0 | 0 | 1 | 1 | 1 |   |   |   |   |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 | 0 | 0 | 0 | 1 |   | 1 |   |   |   |   |   | 2 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 1 | 0 | 1 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 1 | 2 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 | 1 |   | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 | 4 | 3 | 2 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   | 5 |   |   |   | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 | 5 |   |   | 3 | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   | 2 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 3 | 4 |   | 2 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 8 | 3 |   | 2 |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 | 2 | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   | 2 | 2 | 2 | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   | 3 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "10 | 2 | 2 | 1 | 0 | 1 |   |   |   | 2 | 1 | 0 | 0 | 2 |   | 3 |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 | 1 |   | 1 | 0 | 2 | 4 |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 | 1 | 1 | 1 | 0 | 1 |   |   |   | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 | 0 | 0 | 0 | 0 | 1 | 1 |   |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 | 0 | 0 | 0 | 1 | 1 | 1 |   |   |   |   |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 | 0 | 0 | 0 | 1 |   | 1 |   |   |   |   |   | 2 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 1 | 0 | 1 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 1 | 2 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 | 1 |   | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 | 4 | 3 | 2 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   | 5 |   |   |   | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 | 5 |   |   | 3 | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   | 2 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 3 | 4 |   | 2 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 8 | 3 |   | 2 |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 | 2 | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   | 2 | 2 | 2 | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   | 3 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "10 | 2 | 2 | 1 | 0 | 1 |   |   | 4 | 2 | 1 | 0 | 0 | 2 |   | 3 |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 | 1 |   | 1 | 0 | 2 | 4 |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 | 1 | 1 | 1 | 0 | 1 |   |   |   | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 | 0 | 0 | 0 | 0 | 1 | 1 |   |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 | 0 | 0 | 0 | 1 | 1 | 1 |   |   |   |   |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 | 0 | 0 | 0 | 1 |   | 1 |   |   |   |   |   | 2 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 1 | 0 | 1 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 1 | 2 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 | 1 |   | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 | 4 | 3 | 2 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   | 5 |   |   |   | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 | 5 |   | 6 | 3 | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   | 2 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 3 | 4 |   | 2 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 8 | 3 |   | 2 |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 | 2 | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   | 2 | 2 | 2 | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   | 3 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "10 | 2 | 2 | 1 | 0 | 1 |   |   | 4 | 2 | 1 | 0 | 0 | 2 |   | 3 |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 | 1 |   | 1 | 0 | 2 | 4 |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 | 1 | 1 | 1 | 0 | 1 |   |   |   | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 | 0 | 0 | 0 | 0 | 1 | 1 |   |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 | 0 | 0 | 0 | 1 | 1 | 1 |   |   |   |   |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 | 0 | 0 | 0 | 1 |   | 1 |   |   |   |   |   | 2 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 1 | 0 | 1 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 1 | 2 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 | 1 |   | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 | 4 | 3 | 2 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   | 5 |   |   |   | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 | 5 |   | 6 | 3 | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   | 2 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 3 | 4 |   | 2 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 8 | 3 |   | 2 |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 | 2 | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   | 2 | 2 | 2 | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   | 3 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "10 | 2 | 2 | 1 | 0 | 1 |   |   | 4 | 2 | 1 | 0 | 0 | 2 |   | 3 |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 | 1 |   | 1 | 0 | 2 | 4 |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 | 1 | 1 | 1 | 0 | 1 |   |   |   | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 | 0 | 0 | 0 | 0 | 1 | 1 |   |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 | 0 | 0 | 0 | 1 | 1 | 1 |   |   |   |   |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 | 0 | 0 | 0 | 1 |   | 1 |   |   |   |   |   | 2 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 1 | 0 | 1 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 1 | 2 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 | 1 |   | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 | 4 | 3 | 2 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   | 5 |   |   |   | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 | 5 |   | 6 | 3 | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   | 2 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 3 | 4 |   | 2 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 8 | 3 |   | 2 |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 | 2 | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   | 2 | 2 | 2 | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   | 3 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "10 | 2 | 2 | 1 | 0 | 1 |   |   | 4 | 2 | 1 | 0 | 0 | 2 |   | 3 |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 | 1 |   | 1 | 0 | 2 | 4 |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 | 1 | 1 | 1 | 0 | 1 |   |   |   | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 | 0 | 0 | 0 | 0 | 1 | 1 |   |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 2 |   |   |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 | 0 | 0 | 0 | 1 |   | 1 | 0 | 1 |   |   |   | 2 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 1 | 0 | 1 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 1 | 2 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 | 1 |   | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 | 4 | 3 | 2 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   | 5 |   |   |   | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 | 5 |   | 6 | 3 | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   | 2 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 3 | 4 |   | 2 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 8 | 3 |   | 2 |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 | 2 | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   | 2 | 2 | 2 | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   | 3 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "10 | 2 | 2 | 1 | 0 | 1 |   |   | 4 | 2 | 1 | 0 | 0 | 2 |   | 3 |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 | 1 |   | 1 | 0 | 2 | 4 |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 | 1 | 1 | 1 | 0 | 1 |   |   |   | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 | 0 | 0 | 0 | 0 | 1 | 1 | 2 |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 2 |   |   |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 | 0 | 0 | 0 | 1 |   | 1 | 0 | 1 |   |   |   | 2 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 1 | 0 | 1 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 1 | 2 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 | 1 |   | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 | 4 | 3 | 2 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   | 5 |   |   |   | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 | 5 |   | 6 | 3 | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   | 2 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 3 | 4 |   | 2 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 8 | 3 |   | 2 |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 | 2 | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   | 2 | 2 | 2 | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   | 3 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "10 | 2 | 2 | 1 | 0 | 1 |   |   | 4 | 2 | 1 | 0 | 0 | 2 |   | 3 |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 | 1 |   | 1 | 0 | 2 | 4 |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 | 1 | 1 | 1 | 0 | 1 |   |   |   | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 | 0 | 0 | 0 | 0 | 1 | 1 | 2 |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 2 |   |   |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 | 0 | 0 | 0 | 1 |   | 1 | 0 | 1 |   |   |   | 2 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 1 | 0 | 1 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 1 | 2 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 | 1 |   | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 | 4 | 3 | 2 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   | 5 |   |   |   | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 | 5 |   | 6 | 3 | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   | 2 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 3 | 4 |   | 2 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 8 | 3 |   | 2 |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 | 2 | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   | 2 | 2 | 2 | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   | 3 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "10 | 2 | 2 | 1 | 0 | 1 |   |   | 4 | 2 | 1 | 0 | 0 | 2 |   | 3 |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 | 1 |   | 1 | 0 | 2 | 4 |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 | 1 | 1 | 1 | 0 | 1 |   |   | 3 | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 | 0 | 0 | 0 | 0 | 1 | 1 | 2 |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 2 |   |   |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 | 0 | 0 | 0 | 1 |   | 1 | 0 | 1 |   |   |   | 2 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 1 | 0 | 1 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 1 | 2 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 | 1 |   | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 | 4 | 3 | 2 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   | 5 |   |   |   | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 | 5 |   | 6 | 3 | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   | 2 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 3 | 4 |   | 2 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 8 | 3 |   | 2 |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 | 2 | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   | 2 | 2 | 2 | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   | 3 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "10 | 2 | 2 | 1 | 0 | 1 |   |   | 4 | 2 | 1 | 0 | 0 | 2 |   | 3 |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 | 1 |   | 1 | 0 | 2 | 4 |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 | 1 | 1 | 1 | 0 | 1 |   | 4 | 3 | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 | 0 | 0 | 0 | 0 | 1 | 1 | 2 |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 2 |   |   |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 | 0 | 0 | 0 | 1 |   | 1 | 0 | 1 |   |   |   | 2 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 1 | 0 | 1 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 1 | 2 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 | 1 |   | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 | 4 | 3 | 2 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   | 5 |   |   |   | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 | 5 |   | 6 | 3 | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   | 2 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 3 | 4 |   | 2 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 8 | 3 |   | 2 |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 | 2 | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   | 2 | 2 | 2 | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   | 3 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "10 | 2 | 2 | 1 | 0 | 1 |   |   | 4 | 2 | 1 | 0 | 0 | 2 |   | 3 |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 | 1 |   | 1 | 0 | 2 | 4 |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 | 1 | 1 | 1 | 0 | 1 |   | 4 | 3 | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 | 0 | 0 | 0 | 0 | 1 | 1 | 2 |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 2 | 2 |   |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 | 0 | 0 | 0 | 1 |   | 1 | 0 | 1 |   |   |   | 2 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 1 | 0 | 1 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 1 | 2 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 | 1 |   | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 | 4 | 3 | 2 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   | 5 |   |   |   | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 | 5 |   | 6 | 3 | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   | 2 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 3 | 4 |   | 2 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 8 | 3 |   | 2 |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 | 2 | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   | 2 | 2 | 2 | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   | 3 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "10 | 2 | 2 | 1 | 0 | 1 |   |   | 4 | 2 | 1 | 0 | 0 | 2 |   | 3 |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 | 1 |   | 1 | 0 | 2 | 4 |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 | 1 | 1 | 1 | 0 | 1 |   | 4 | 3 | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 | 0 | 0 | 0 | 0 | 1 | 1 | 2 |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 2 | 2 | 2 |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 | 0 | 0 | 0 | 1 |   | 1 | 0 | 1 |   |   |   | 2 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 1 | 0 | 1 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 1 | 2 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 | 1 |   | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 | 4 | 3 | 2 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   | 5 |   |   |   | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 | 5 |   | 6 | 3 | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   | 2 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 3 | 4 |   | 2 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 8 | 3 |   | 2 |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 | 2 | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   | 2 | 2 | 2 | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   | 3 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "10 | 2 | 2 | 1 | 0 | 1 |   |   | 4 | 2 | 1 | 0 | 0 | 2 |   | 3 |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 | 1 |   | 1 | 0 | 2 | 4 |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 | 1 | 1 | 1 | 0 | 1 |   | 4 | 3 | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 | 0 | 0 | 0 | 0 | 1 | 1 | 2 |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 2 | 2 | 2 |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 | 0 | 0 | 0 | 1 |   | 1 | 0 | 1 |   |   | 2 | 2 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 1 | 0 | 1 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 1 | 2 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 | 1 |   | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 | 4 | 3 | 2 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   | 5 |   |   |   | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 | 5 |   | 6 | 3 | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   | 2 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 3 | 4 |   | 2 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 8 | 3 |   | 2 |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 | 2 | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   | 2 | 2 | 2 | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   | 3 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "10 | 2 | 2 | 1 | 0 | 1 |   |   | 4 | 2 | 1 | 0 | 0 | 2 |   | 3 |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 | 1 |   | 1 | 0 | 2 | 4 |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 | 1 | 1 | 1 | 0 | 1 |   | 4 | 3 | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 | 0 | 0 | 0 | 0 | 1 | 1 | 2 |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 2 | 2 | 2 |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 | 0 | 0 | 0 | 1 |   | 1 | 0 | 1 |   | 2 | 2 | 2 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n"
     ]
    }
   ],
   "source": [
    "\"\"\"THIS IS A GAME LOOP. IT CONTINUES UNTIL A WIN IS ACHIEVED\"\"\"\n",
    "start_time = time.time()\n",
    "win = False\n",
    "restarts = -1\n",
    "while win == False:\n",
    "    sweeper = Mines(gridsize, n_mines)\n",
    "    restarts += 1\n",
    "    sweeper.showcurrent()\n",
    "    print(\"PRINTING...\")\n",
    "    m = Minefinder(sweeper, gridsize)\n",
    "    m.game.checkcell((8,8))\n",
    "    if sweeper.isfail():\n",
    "        continue\n",
    "    if len(m.get_fringe_squares((0,0))) < 10:\n",
    "        continue\n",
    "    w = \"NOT A WINNER\"\n",
    "    for i in range(20):\n",
    "        if sweeper.isfail():\n",
    "            break\n",
    "        if sweeper.checkmines():\n",
    "            w = \"WINNER: \" + str(i)\n",
    "            win = True\n",
    "            break\n",
    "        b = m.get_fringe_squares((0,0))\n",
    "        m.start_KB()\n",
    "        sweeper.flags = m.easy_inference(m.KB, sweeper.flags)\n",
    "        m.clear_safe_squares()\n",
    "        #m.game.showcurrent()\n",
    "runtime = (time.time() - start_time)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "WINNER! RESTARTS: 0\n",
      "EXECUTION TIME: 0.1657 SECONDS\n",
      "DID I WIN? True\n",
      "DID I LOSE: False\n",
      "     0   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  \n",
      "   -----------------------------------------------------------------\n",
      " 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 1 | 0 | 1 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      " 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 1 | 2 |   |\n",
      "   -----------------------------------------------------------------\n",
      " 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 | 2 | 1 | 1 |   | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      " 3 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |   | 3 |   |   | 3 | 4 | 3 | 2 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 4 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 3 |   | 5 |   |   |   | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 5 |   | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 2 | 5 |   | 6 | 3 | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 6 | 3 |   | 1 | 1 |   | 1 | 0 | 0 | 0 | 1 |   |   |   | 2 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 7 |   | 3 | 3 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 3 | 4 |   | 2 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 8 | 3 |   | 2 |   |   | 1 | 0 | 1 | 2 |   | 1 | 1 | 2 | 2 | 1 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      " 9 |   | 2 | 2 | 2 | 3 | 3 | 2 | 2 |   | 2 | 1 | 0 | 2 |   | 3 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "10 | 2 | 2 | 1 | 0 | 1 |   |   | 4 | 2 | 1 | 0 | 0 | 2 |   | 3 |   |\n",
      "   -----------------------------------------------------------------\n",
      "11 | 1 |   | 1 | 0 | 2 | 4 |   |   | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |\n",
      "   -----------------------------------------------------------------\n",
      "12 | 1 | 1 | 1 | 0 | 1 |   | 4 | 3 | 2 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "13 | 0 | 0 | 0 | 0 | 1 | 1 | 2 |   | 1 | 1 | 3 |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "14 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 2 | 2 | 2 |   |   | 2 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "15 | 0 | 0 | 0 | 1 |   | 1 | 0 | 1 |   | 2 | 2 | 2 | 1 | 0 | 0 | 0 |\n",
      "   -----------------------------------------------------------------\n",
      "\n",
      "FLAGS: 40 [(3, 7), (5, 0), (6, 4), (4, 9), (8, 9), (9, 8), (3, 9), (3, 10), (6, 1), (8, 4), (0, 11), (7, 0), (8, 3), (13, 11), (8, 1), (6, 10), (6, 11), (6, 12), (7, 12), (9, 13), (10, 13), (14, 11), (2, 13), (4, 12), (4, 11), (5, 11), (9, 0), (10, 15), (1, 15), (4, 13), (10, 5), (10, 6), (11, 1), (15, 4), (11, 7), (11, 6), (12, 5), (13, 7), (14, 10), (15, 8)]\n"
     ]
    }
   ],
   "source": [
    "\"\"\"GAME STATISTICS\"\"\"\n",
    "#print(w, \"RESTARTS:\", restarts)\n",
    "print(\"WINNER! RESTARTS:\", restarts)\n",
    "print(\"EXECUTION TIME:\", round(runtime, 4), \"SECONDS\")\n",
    "print(\"DID I WIN?\", sweeper.checkmines())\n",
    "print(\"DID I LOSE:\", sweeper.isfail())\n",
    "sweeper.showcurrent()\n",
    "print(\"FLAGS:\", len(sweeper.flags), sweeper.flags)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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