mergesort.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2 0 0 | 0 2 0 1 || [7]\n",
      "2 0 1 | 1 2 0 1 || [7, 8]\n",
      "2 2 2 | 2 4 2 3 || [7, 8, 2]\n",
      "2 2 3 | 3 4 2 3 || [7, 8, 2, 3]\n",
      "2 4 4 | 4 6 4 5 || [7, 8, 2, 3, 3]\n",
      "2 4 5 | 5 6 4 5 || [7, 8, 2, 3, 3, 4]\n",
      "2 6 6 | 6 8 6 7 || [7, 8, 2, 3, 3, 4, 4]\n",
      "2 6 7 | 7 8 6 7 || [7, 8, 2, 3, 3, 4, 4, 6]\n",
      "2 8 8 | 9 9 8 9 || [7, 8, 2, 3, 3, 4, 4, 6, 2]\n",
      "2 8 9 | 9 10 8 9 || [7, 8, 2, 3, 3, 4, 4, 6, 2, 8]\n",
      "4 0 0 | 0 3 1 3 || [2]\n",
      "4 0 1 | 0 4 1 3 || [2, 3]\n",
      "4 0 2 | 1 4 1 3 || [2, 3, 7]\n",
      "4 0 3 | 2 4 1 3 || [2, 3, 7, 8]\n",
      "4 4 4 | 5 6 5 7 || [2, 3, 7, 8, 3]\n",
      "4 4 5 | 6 6 5 7 || [2, 3, 7, 8, 3, 4]\n",
      "4 4 6 | 6 7 5 7 || [2, 3, 7, 8, 3, 4, 4]\n",
      "4 4 7 | 6 8 5 7 || [2, 3, 7, 8, 3, 4, 4, 6]\n",
      "4 8 8 | 9 10 9 9 || [2, 3, 7, 8, 3, 4, 4, 6, 2]\n",
      "4 8 9 | 10 10 9 9 || [2, 3, 7, 8, 3, 4, 4, 6, 2, 8]\n",
      "8 0 0 | 1 4 3 7 || [2]\n",
      "8 0 1 | 2 4 3 7 || [2, 3]\n",
      "8 0 2 | 2 5 3 7 || [2, 3, 3]\n",
      "8 0 3 | 2 6 3 7 || [2, 3, 3, 4]\n",
      "8 0 4 | 2 7 3 7 || [2, 3, 3, 4, 4]\n",
      "8 0 5 | 2 8 3 7 || [2, 3, 3, 4, 4, 6]\n",
      "8 0 6 | 3 8 3 7 || [2, 3, 3, 4, 4, 6, 7]\n",
      "8 0 7 | 4 8 3 7 || [2, 3, 3, 4, 4, 6, 7, 8]\n",
      "8 8 8 | 9 12 11 9 || [2, 3, 3, 4, 4, 6, 7, 8, 2]\n",
      "8 8 9 | 10 12 11 9 || [2, 3, 3, 4, 4, 6, 7, 8, 2, 8]\n",
      "16 0 0 | 1 8 7 9 || [2]\n",
      "16 0 1 | 1 9 7 9 || [2, 2]\n",
      "16 0 2 | 2 9 7 9 || [2, 2, 3]\n",
      "16 0 3 | 3 9 7 9 || [2, 2, 3, 3]\n",
      "16 0 4 | 4 9 7 9 || [2, 2, 3, 3, 4]\n",
      "16 0 5 | 5 9 7 9 || [2, 2, 3, 3, 4, 4]\n",
      "16 0 6 | 6 9 7 9 || [2, 2, 3, 3, 4, 4, 6]\n",
      "16 0 7 | 7 9 7 9 || [2, 2, 3, 3, 4, 4, 6, 7]\n",
      "16 0 8 | 8 9 7 9 || [2, 2, 3, 3, 4, 4, 6, 7, 8]\n",
      "16 0 9 | 8 10 7 9 || [2, 2, 3, 3, 4, 4, 6, 7, 8, 8]\n",
      "2 0 0 | 1 1 0 1 || [0]\n",
      "2 0 1 | 1 2 0 1 || [0, 4]\n",
      "2 2 2 | 2 4 2 3 || [0, 4, 0]\n",
      "2 2 3 | 3 4 2 3 || [0, 4, 0, 1]\n",
      "2 4 4 | 4 6 4 5 || [0, 4, 0, 1, 1]\n",
      "2 4 5 | 5 6 4 5 || [0, 4, 0, 1, 1, 5]\n",
      "2 6 6 | 6 8 6 7 || [0, 4, 0, 1, 1, 5, 1]\n",
      "2 6 7 | 7 8 6 7 || [0, 4, 0, 1, 1, 5, 1, 7]\n",
      "2 8 8 | 9 9 8 9 || [0, 4, 0, 1, 1, 5, 1, 7, 1]\n",
      "2 8 9 | 9 10 8 9 || [0, 4, 0, 1, 1, 5, 1, 7, 1, 5]\n",
      "4 0 0 | 1 2 1 3 || [0]\n",
      "4 0 1 | 1 3 1 3 || [0, 0]\n",
      "4 0 2 | 1 4 1 3 || [0, 0, 1]\n",
      "4 0 3 | 2 4 1 3 || [0, 0, 1, 4]\n",
      "4 4 4 | 5 6 5 7 || [0, 0, 1, 4, 1]\n",
      "4 4 5 | 5 7 5 7 || [0, 0, 1, 4, 1, 1]\n",
      "4 4 6 | 6 7 5 7 || [0, 0, 1, 4, 1, 1, 5]\n",
      "4 4 7 | 6 8 5 7 || [0, 0, 1, 4, 1, 1, 5, 7]\n",
      "4 8 8 | 9 10 9 9 || [0, 0, 1, 4, 1, 1, 5, 7, 1]\n",
      "4 8 9 | 10 10 9 9 || [0, 0, 1, 4, 1, 1, 5, 7, 1, 5]\n",
      "8 0 0 | 1 4 3 7 || [0]\n",
      "8 0 1 | 2 4 3 7 || [0, 0]\n",
      "8 0 2 | 3 4 3 7 || [0, 0, 1]\n",
      "8 0 3 | 3 5 3 7 || [0, 0, 1, 1]\n",
      "8 0 4 | 3 6 3 7 || [0, 0, 1, 1, 1]\n",
      "8 0 5 | 4 6 3 7 || [0, 0, 1, 1, 1, 4]\n",
      "8 0 6 | 4 7 3 7 || [0, 0, 1, 1, 1, 4, 5]\n",
      "8 0 7 | 4 8 3 7 || [0, 0, 1, 1, 1, 4, 5, 7]\n",
      "8 8 8 | 9 12 11 9 || [0, 0, 1, 1, 1, 4, 5, 7, 1]\n",
      "8 8 9 | 10 12 11 9 || [0, 0, 1, 1, 1, 4, 5, 7, 1, 5]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 2 8 7 9 || [0, 0]\n",
      "16 0 2 | 3 8 7 9 || [0, 0, 1]\n",
      "16 0 3 | 4 8 7 9 || [0, 0, 1, 1]\n",
      "16 0 4 | 5 8 7 9 || [0, 0, 1, 1, 1]\n",
      "16 0 5 | 5 9 7 9 || [0, 0, 1, 1, 1, 1]\n",
      "16 0 6 | 6 9 7 9 || [0, 0, 1, 1, 1, 1, 4]\n",
      "16 0 7 | 7 9 7 9 || [0, 0, 1, 1, 1, 1, 4, 5]\n",
      "16 0 8 | 7 10 7 9 || [0, 0, 1, 1, 1, 1, 4, 5, 5]\n",
      "16 0 9 | 8 10 7 9 || [0, 0, 1, 1, 1, 1, 4, 5, 5, 7]\n",
      "2 0 0 | 0 2 0 1 || [8]\n",
      "2 0 1 | 1 2 0 1 || [8, 9]\n",
      "2 2 2 | 3 3 2 3 || [8, 9, 0]\n",
      "2 2 3 | 3 4 2 3 || [8, 9, 0, 4]\n",
      "2 4 4 | 5 5 4 5 || [8, 9, 0, 4, 0]\n",
      "2 4 5 | 5 6 4 5 || [8, 9, 0, 4, 0, 3]\n",
      "2 6 6 | 6 8 6 7 || [8, 9, 0, 4, 0, 3, 5]\n",
      "2 6 7 | 7 8 6 7 || [8, 9, 0, 4, 0, 3, 5, 7]\n",
      "2 8 8 | 9 9 8 9 || [8, 9, 0, 4, 0, 3, 5, 7, 1]\n",
      "2 8 9 | 9 10 8 9 || [8, 9, 0, 4, 0, 3, 5, 7, 1, 8]\n",
      "4 0 0 | 0 3 1 3 || [0]\n",
      "4 0 1 | 0 4 1 3 || [0, 4]\n",
      "4 0 2 | 1 4 1 3 || [0, 4, 8]\n",
      "4 0 3 | 2 4 1 3 || [0, 4, 8, 9]\n",
      "4 4 4 | 5 6 5 7 || [0, 4, 8, 9, 0]\n",
      "4 4 5 | 6 6 5 7 || [0, 4, 8, 9, 0, 3]\n",
      "4 4 6 | 6 7 5 7 || [0, 4, 8, 9, 0, 3, 5]\n",
      "4 4 7 | 6 8 5 7 || [0, 4, 8, 9, 0, 3, 5, 7]\n",
      "4 8 8 | 9 10 9 9 || [0, 4, 8, 9, 0, 3, 5, 7, 1]\n",
      "4 8 9 | 10 10 9 9 || [0, 4, 8, 9, 0, 3, 5, 7, 1, 8]\n",
      "8 0 0 | 1 4 3 7 || [0]\n",
      "8 0 1 | 1 5 3 7 || [0, 0]\n",
      "8 0 2 | 1 6 3 7 || [0, 0, 3]\n",
      "8 0 3 | 2 6 3 7 || [0, 0, 3, 4]\n",
      "8 0 4 | 2 7 3 7 || [0, 0, 3, 4, 5]\n",
      "8 0 5 | 2 8 3 7 || [0, 0, 3, 4, 5, 7]\n",
      "8 0 6 | 3 8 3 7 || [0, 0, 3, 4, 5, 7, 8]\n",
      "8 0 7 | 4 8 3 7 || [0, 0, 3, 4, 5, 7, 8, 9]\n",
      "8 8 8 | 9 12 11 9 || [0, 0, 3, 4, 5, 7, 8, 9, 1]\n",
      "8 8 9 | 10 12 11 9 || [0, 0, 3, 4, 5, 7, 8, 9, 1, 8]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 2 8 7 9 || [0, 0]\n",
      "16 0 2 | 2 9 7 9 || [0, 0, 1]\n",
      "16 0 3 | 3 9 7 9 || [0, 0, 1, 3]\n",
      "16 0 4 | 4 9 7 9 || [0, 0, 1, 3, 4]\n",
      "16 0 5 | 5 9 7 9 || [0, 0, 1, 3, 4, 5]\n",
      "16 0 6 | 6 9 7 9 || [0, 0, 1, 3, 4, 5, 7]\n",
      "16 0 7 | 7 9 7 9 || [0, 0, 1, 3, 4, 5, 7, 8]\n",
      "16 0 8 | 7 10 7 9 || [0, 0, 1, 3, 4, 5, 7, 8, 8]\n",
      "16 0 9 | 8 10 7 9 || [0, 0, 1, 3, 4, 5, 7, 8, 8, 9]\n",
      "2 0 0 | 1 1 0 1 || [3]\n",
      "2 0 1 | 1 2 0 1 || [3, 9]\n",
      "2 2 2 | 2 4 2 3 || [3, 9, 7]\n",
      "2 2 3 | 3 4 2 3 || [3, 9, 7, 9]\n",
      "2 4 4 | 5 5 4 5 || [3, 9, 7, 9, 4]\n",
      "2 4 5 | 5 6 4 5 || [3, 9, 7, 9, 4, 9]\n",
      "2 6 6 | 7 7 6 7 || [3, 9, 7, 9, 4, 9, 2]\n",
      "2 6 7 | 7 8 6 7 || [3, 9, 7, 9, 4, 9, 2, 5]\n",
      "2 8 8 | 9 9 8 9 || [3, 9, 7, 9, 4, 9, 2, 5, 0]\n",
      "2 8 9 | 9 10 8 9 || [3, 9, 7, 9, 4, 9, 2, 5, 0, 1]\n",
      "4 0 0 | 1 2 1 3 || [3]\n",
      "4 0 1 | 1 3 1 3 || [3, 7]\n",
      "4 0 2 | 2 3 1 3 || [3, 7, 9]\n",
      "4 0 3 | 2 4 1 3 || [3, 7, 9, 9]\n",
      "4 4 4 | 4 7 5 7 || [3, 7, 9, 9, 2]\n",
      "4 4 5 | 5 7 5 7 || [3, 7, 9, 9, 2, 4]\n",
      "4 4 6 | 5 8 5 7 || [3, 7, 9, 9, 2, 4, 5]\n",
      "4 4 7 | 6 8 5 7 || [3, 7, 9, 9, 2, 4, 5, 9]\n",
      "4 8 8 | 9 10 9 9 || [3, 7, 9, 9, 2, 4, 5, 9, 0]\n",
      "4 8 9 | 10 10 9 9 || [3, 7, 9, 9, 2, 4, 5, 9, 0, 1]\n",
      "8 0 0 | 0 5 3 7 || [2]\n",
      "8 0 1 | 1 5 3 7 || [2, 3]\n",
      "8 0 2 | 1 6 3 7 || [2, 3, 4]\n",
      "8 0 3 | 1 7 3 7 || [2, 3, 4, 5]\n",
      "8 0 4 | 2 7 3 7 || [2, 3, 4, 5, 7]\n",
      "8 0 5 | 3 7 3 7 || [2, 3, 4, 5, 7, 9]\n",
      "8 0 6 | 4 7 3 7 || [2, 3, 4, 5, 7, 9, 9]\n",
      "8 0 7 | 4 8 3 7 || [2, 3, 4, 5, 7, 9, 9, 9]\n",
      "8 8 8 | 9 12 11 9 || [2, 3, 4, 5, 7, 9, 9, 9, 0]\n",
      "8 8 9 | 10 12 11 9 || [2, 3, 4, 5, 7, 9, 9, 9, 0, 1]\n",
      "16 0 0 | 0 9 7 9 || [0]\n",
      "16 0 1 | 0 10 7 9 || [0, 1]\n",
      "16 0 2 | 1 10 7 9 || [0, 1, 2]\n",
      "16 0 3 | 2 10 7 9 || [0, 1, 2, 3]\n",
      "16 0 4 | 3 10 7 9 || [0, 1, 2, 3, 4]\n",
      "16 0 5 | 4 10 7 9 || [0, 1, 2, 3, 4, 5]\n",
      "16 0 6 | 5 10 7 9 || [0, 1, 2, 3, 4, 5, 7]\n",
      "16 0 7 | 6 10 7 9 || [0, 1, 2, 3, 4, 5, 7, 9]\n",
      "16 0 8 | 7 10 7 9 || [0, 1, 2, 3, 4, 5, 7, 9, 9]\n",
      "16 0 9 | 8 10 7 9 || [0, 1, 2, 3, 4, 5, 7, 9, 9, 9]\n",
      "2 0 0 | 0 2 0 1 || [0]\n",
      "2 0 1 | 1 2 0 1 || [0, 2]\n",
      "2 2 2 | 2 4 2 3 || [0, 2, 3]\n",
      "2 2 3 | 3 4 2 3 || [0, 2, 3, 7]\n",
      "2 4 4 | 5 5 4 5 || [0, 2, 3, 7, 1]\n",
      "2 4 5 | 5 6 4 5 || [0, 2, 3, 7, 1, 8]\n",
      "2 6 6 | 6 8 6 7 || [0, 2, 3, 7, 1, 8, 3]\n",
      "2 6 7 | 7 8 6 7 || [0, 2, 3, 7, 1, 8, 3, 5]\n",
      "2 8 8 | 9 9 8 9 || [0, 2, 3, 7, 1, 8, 3, 5, 9]\n",
      "2 8 9 | 9 10 8 9 || [0, 2, 3, 7, 1, 8, 3, 5, 9, 9]\n",
      "4 0 0 | 1 2 1 3 || [0]\n",
      "4 0 1 | 2 2 1 3 || [0, 2]\n",
      "4 0 2 | 2 3 1 3 || [0, 2, 3]\n",
      "4 0 3 | 2 4 1 3 || [0, 2, 3, 7]\n",
      "4 4 4 | 5 6 5 7 || [0, 2, 3, 7, 1]\n",
      "4 4 5 | 5 7 5 7 || [0, 2, 3, 7, 1, 3]\n",
      "4 4 6 | 5 8 5 7 || [0, 2, 3, 7, 1, 3, 5]\n",
      "4 4 7 | 6 8 5 7 || [0, 2, 3, 7, 1, 3, 5, 8]\n",
      "4 8 8 | 9 10 9 9 || [0, 2, 3, 7, 1, 3, 5, 8, 9]\n",
      "4 8 9 | 10 10 9 9 || [0, 2, 3, 7, 1, 3, 5, 8, 9, 9]\n",
      "8 0 0 | 1 4 3 7 || [0]\n",
      "8 0 1 | 1 5 3 7 || [0, 1]\n",
      "8 0 2 | 2 5 3 7 || [0, 1, 2]\n",
      "8 0 3 | 3 5 3 7 || [0, 1, 2, 3]\n",
      "8 0 4 | 3 6 3 7 || [0, 1, 2, 3, 3]\n",
      "8 0 5 | 3 7 3 7 || [0, 1, 2, 3, 3, 5]\n",
      "8 0 6 | 4 7 3 7 || [0, 1, 2, 3, 3, 5, 7]\n",
      "8 0 7 | 4 8 3 7 || [0, 1, 2, 3, 3, 5, 7, 8]\n",
      "8 8 8 | 9 12 11 9 || [0, 1, 2, 3, 3, 5, 7, 8, 9]\n",
      "8 8 9 | 10 12 11 9 || [0, 1, 2, 3, 3, 5, 7, 8, 9, 9]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 2 8 7 9 || [0, 1]\n",
      "16 0 2 | 3 8 7 9 || [0, 1, 2]\n",
      "16 0 3 | 4 8 7 9 || [0, 1, 2, 3]\n",
      "16 0 4 | 5 8 7 9 || [0, 1, 2, 3, 3]\n",
      "16 0 5 | 6 8 7 9 || [0, 1, 2, 3, 3, 5]\n",
      "16 0 6 | 7 8 7 9 || [0, 1, 2, 3, 3, 5, 7]\n",
      "16 0 7 | 8 8 7 9 || [0, 1, 2, 3, 3, 5, 7, 8]\n",
      "16 0 8 | 8 9 7 9 || [0, 1, 2, 3, 3, 5, 7, 8, 9]\n",
      "16 0 9 | 8 10 7 9 || [0, 1, 2, 3, 3, 5, 7, 8, 9, 9]\n",
      "2 0 0 | 1 1 0 1 || [1]\n",
      "2 0 1 | 1 2 0 1 || [1, 3]\n",
      "2 2 2 | 2 4 2 3 || [1, 3, 4]\n",
      "2 2 3 | 3 4 2 3 || [1, 3, 4, 9]\n",
      "2 4 4 | 5 5 4 5 || [1, 3, 4, 9, 4]\n",
      "2 4 5 | 5 6 4 5 || [1, 3, 4, 9, 4, 6]\n",
      "2 6 6 | 7 7 6 7 || [1, 3, 4, 9, 4, 6, 4]\n",
      "2 6 7 | 7 8 6 7 || [1, 3, 4, 9, 4, 6, 4, 5]\n",
      "2 8 8 | 8 10 8 9 || [1, 3, 4, 9, 4, 6, 4, 5, 8]\n",
      "2 8 9 | 9 10 8 9 || [1, 3, 4, 9, 4, 6, 4, 5, 8, 9]\n",
      "4 0 0 | 1 2 1 3 || [1]\n",
      "4 0 1 | 2 2 1 3 || [1, 3]\n",
      "4 0 2 | 2 3 1 3 || [1, 3, 4]\n",
      "4 0 3 | 2 4 1 3 || [1, 3, 4, 9]\n",
      "4 4 4 | 5 6 5 7 || [1, 3, 4, 9, 4]\n",
      "4 4 5 | 5 7 5 7 || [1, 3, 4, 9, 4, 4]\n",
      "4 4 6 | 5 8 5 7 || [1, 3, 4, 9, 4, 4, 5]\n",
      "4 4 7 | 6 8 5 7 || [1, 3, 4, 9, 4, 4, 5, 6]\n",
      "4 8 8 | 9 10 9 9 || [1, 3, 4, 9, 4, 4, 5, 6, 8]\n",
      "4 8 9 | 10 10 9 9 || [1, 3, 4, 9, 4, 4, 5, 6, 8, 9]\n",
      "8 0 0 | 1 4 3 7 || [1]\n",
      "8 0 1 | 2 4 3 7 || [1, 3]\n",
      "8 0 2 | 3 4 3 7 || [1, 3, 4]\n",
      "8 0 3 | 3 5 3 7 || [1, 3, 4, 4]\n",
      "8 0 4 | 3 6 3 7 || [1, 3, 4, 4, 4]\n",
      "8 0 5 | 3 7 3 7 || [1, 3, 4, 4, 4, 5]\n",
      "8 0 6 | 3 8 3 7 || [1, 3, 4, 4, 4, 5, 6]\n",
      "8 0 7 | 4 8 3 7 || [1, 3, 4, 4, 4, 5, 6, 9]\n",
      "8 8 8 | 9 12 11 9 || [1, 3, 4, 4, 4, 5, 6, 9, 8]\n",
      "8 8 9 | 10 12 11 9 || [1, 3, 4, 4, 4, 5, 6, 9, 8, 9]\n",
      "16 0 0 | 1 8 7 9 || [1]\n",
      "16 0 1 | 2 8 7 9 || [1, 3]\n",
      "16 0 2 | 3 8 7 9 || [1, 3, 4]\n",
      "16 0 3 | 4 8 7 9 || [1, 3, 4, 4]\n",
      "16 0 4 | 5 8 7 9 || [1, 3, 4, 4, 4]\n",
      "16 0 5 | 6 8 7 9 || [1, 3, 4, 4, 4, 5]\n",
      "16 0 6 | 7 8 7 9 || [1, 3, 4, 4, 4, 5, 6]\n",
      "16 0 7 | 7 9 7 9 || [1, 3, 4, 4, 4, 5, 6, 8]\n",
      "16 0 8 | 8 9 7 9 || [1, 3, 4, 4, 4, 5, 6, 8, 9]\n",
      "16 0 9 | 8 10 7 9 || [1, 3, 4, 4, 4, 5, 6, 8, 9, 9]\n",
      "2 0 0 | 1 1 0 1 || [8]\n",
      "2 0 1 | 1 2 0 1 || [8, 9]\n",
      "2 2 2 | 2 4 2 3 || [8, 9, 2]\n",
      "2 2 3 | 3 4 2 3 || [8, 9, 2, 8]\n",
      "2 4 4 | 4 6 4 5 || [8, 9, 2, 8, 3]\n",
      "2 4 5 | 5 6 4 5 || [8, 9, 2, 8, 3, 8]\n",
      "2 6 6 | 7 7 6 7 || [8, 9, 2, 8, 3, 8, 1]\n",
      "2 6 7 | 7 8 6 7 || [8, 9, 2, 8, 3, 8, 1, 9]\n",
      "2 8 8 | 9 9 8 9 || [8, 9, 2, 8, 3, 8, 1, 9, 2]\n",
      "2 8 9 | 9 10 8 9 || [8, 9, 2, 8, 3, 8, 1, 9, 2, 9]\n",
      "4 0 0 | 0 3 1 3 || [2]\n",
      "4 0 1 | 1 3 1 3 || [2, 8]\n",
      "4 0 2 | 1 4 1 3 || [2, 8, 8]\n",
      "4 0 3 | 2 4 1 3 || [2, 8, 8, 9]\n",
      "4 4 4 | 4 7 5 7 || [2, 8, 8, 9, 1]\n",
      "4 4 5 | 5 7 5 7 || [2, 8, 8, 9, 1, 3]\n",
      "4 4 6 | 6 7 5 7 || [2, 8, 8, 9, 1, 3, 8]\n",
      "4 4 7 | 6 8 5 7 || [2, 8, 8, 9, 1, 3, 8, 9]\n",
      "4 8 8 | 9 10 9 9 || [2, 8, 8, 9, 1, 3, 8, 9, 2]\n",
      "4 8 9 | 10 10 9 9 || [2, 8, 8, 9, 1, 3, 8, 9, 2, 9]\n",
      "8 0 0 | 0 5 3 7 || [1]\n",
      "8 0 1 | 1 5 3 7 || [1, 2]\n",
      "8 0 2 | 1 6 3 7 || [1, 2, 3]\n",
      "8 0 3 | 2 6 3 7 || [1, 2, 3, 8]\n",
      "8 0 4 | 3 6 3 7 || [1, 2, 3, 8, 8]\n",
      "8 0 5 | 3 7 3 7 || [1, 2, 3, 8, 8, 8]\n",
      "8 0 6 | 4 7 3 7 || [1, 2, 3, 8, 8, 8, 9]\n",
      "8 0 7 | 4 8 3 7 || [1, 2, 3, 8, 8, 8, 9, 9]\n",
      "8 8 8 | 9 12 11 9 || [1, 2, 3, 8, 8, 8, 9, 9, 2]\n",
      "8 8 9 | 10 12 11 9 || [1, 2, 3, 8, 8, 8, 9, 9, 2, 9]\n",
      "16 0 0 | 1 8 7 9 || [1]\n",
      "16 0 1 | 2 8 7 9 || [1, 2]\n",
      "16 0 2 | 2 9 7 9 || [1, 2, 2]\n",
      "16 0 3 | 3 9 7 9 || [1, 2, 2, 3]\n",
      "16 0 4 | 4 9 7 9 || [1, 2, 2, 3, 8]\n",
      "16 0 5 | 5 9 7 9 || [1, 2, 2, 3, 8, 8]\n",
      "16 0 6 | 6 9 7 9 || [1, 2, 2, 3, 8, 8, 8]\n",
      "16 0 7 | 7 9 7 9 || [1, 2, 2, 3, 8, 8, 8, 9]\n",
      "16 0 8 | 8 9 7 9 || [1, 2, 2, 3, 8, 8, 8, 9, 9]\n",
      "16 0 9 | 8 10 7 9 || [1, 2, 2, 3, 8, 8, 8, 9, 9, 9]\n",
      "2 0 0 | 1 1 0 1 || [0]\n",
      "2 0 1 | 1 2 0 1 || [0, 8]\n",
      "2 2 2 | 3 3 2 3 || [0, 8, 2]\n",
      "2 2 3 | 3 4 2 3 || [0, 8, 2, 5]\n",
      "2 4 4 | 5 5 4 5 || [0, 8, 2, 5, 0]\n",
      "2 4 5 | 5 6 4 5 || [0, 8, 2, 5, 0, 2]\n",
      "2 6 6 | 6 8 6 7 || [0, 8, 2, 5, 0, 2, 3]\n",
      "2 6 7 | 7 8 6 7 || [0, 8, 2, 5, 0, 2, 3, 5]\n",
      "2 8 8 | 9 9 8 9 || [0, 8, 2, 5, 0, 2, 3, 5, 1]\n",
      "2 8 9 | 9 10 8 9 || [0, 8, 2, 5, 0, 2, 3, 5, 1, 8]\n",
      "4 0 0 | 1 2 1 3 || [0]\n",
      "4 0 1 | 1 3 1 3 || [0, 2]\n",
      "4 0 2 | 1 4 1 3 || [0, 2, 5]\n",
      "4 0 3 | 2 4 1 3 || [0, 2, 5, 8]\n",
      "4 4 4 | 5 6 5 7 || [0, 2, 5, 8, 0]\n",
      "4 4 5 | 6 6 5 7 || [0, 2, 5, 8, 0, 2]\n",
      "4 4 6 | 6 7 5 7 || [0, 2, 5, 8, 0, 2, 3]\n",
      "4 4 7 | 6 8 5 7 || [0, 2, 5, 8, 0, 2, 3, 5]\n",
      "4 8 8 | 9 10 9 9 || [0, 2, 5, 8, 0, 2, 3, 5, 1]\n",
      "4 8 9 | 10 10 9 9 || [0, 2, 5, 8, 0, 2, 3, 5, 1, 8]\n",
      "8 0 0 | 1 4 3 7 || [0]\n",
      "8 0 1 | 1 5 3 7 || [0, 0]\n",
      "8 0 2 | 2 5 3 7 || [0, 0, 2]\n",
      "8 0 3 | 2 6 3 7 || [0, 0, 2, 2]\n",
      "8 0 4 | 2 7 3 7 || [0, 0, 2, 2, 3]\n",
      "8 0 5 | 3 7 3 7 || [0, 0, 2, 2, 3, 5]\n",
      "8 0 6 | 3 8 3 7 || [0, 0, 2, 2, 3, 5, 5]\n",
      "8 0 7 | 4 8 3 7 || [0, 0, 2, 2, 3, 5, 5, 8]\n",
      "8 8 8 | 9 12 11 9 || [0, 0, 2, 2, 3, 5, 5, 8, 1]\n",
      "8 8 9 | 10 12 11 9 || [0, 0, 2, 2, 3, 5, 5, 8, 1, 8]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 2 8 7 9 || [0, 0]\n",
      "16 0 2 | 2 9 7 9 || [0, 0, 1]\n",
      "16 0 3 | 3 9 7 9 || [0, 0, 1, 2]\n",
      "16 0 4 | 4 9 7 9 || [0, 0, 1, 2, 2]\n",
      "16 0 5 | 5 9 7 9 || [0, 0, 1, 2, 2, 3]\n",
      "16 0 6 | 6 9 7 9 || [0, 0, 1, 2, 2, 3, 5]\n",
      "16 0 7 | 7 9 7 9 || [0, 0, 1, 2, 2, 3, 5, 5]\n",
      "16 0 8 | 8 9 7 9 || [0, 0, 1, 2, 2, 3, 5, 5, 8]\n",
      "16 0 9 | 8 10 7 9 || [0, 0, 1, 2, 2, 3, 5, 5, 8, 8]\n",
      "2 0 0 | 1 1 0 1 || [3]\n",
      "2 0 1 | 1 2 0 1 || [3, 8]\n",
      "2 2 2 | 3 3 2 3 || [3, 8, 1]\n",
      "2 2 3 | 3 4 2 3 || [3, 8, 1, 1]\n",
      "2 4 4 | 5 5 4 5 || [3, 8, 1, 1, 5]\n",
      "2 4 5 | 5 6 4 5 || [3, 8, 1, 1, 5, 5]\n",
      "2 6 6 | 7 7 6 7 || [3, 8, 1, 1, 5, 5, 5]\n",
      "2 6 7 | 7 8 6 7 || [3, 8, 1, 1, 5, 5, 5, 8]\n",
      "2 8 8 | 9 9 8 9 || [3, 8, 1, 1, 5, 5, 5, 8, 0]\n",
      "2 8 9 | 9 10 8 9 || [3, 8, 1, 1, 5, 5, 5, 8, 0, 8]\n",
      "4 0 0 | 0 3 1 3 || [1]\n",
      "4 0 1 | 0 4 1 3 || [1, 1]\n",
      "4 0 2 | 1 4 1 3 || [1, 1, 3]\n",
      "4 0 3 | 2 4 1 3 || [1, 1, 3, 8]\n",
      "4 4 4 | 5 6 5 7 || [1, 1, 3, 8, 5]\n",
      "4 4 5 | 6 6 5 7 || [1, 1, 3, 8, 5, 5]\n",
      "4 4 6 | 6 7 5 7 || [1, 1, 3, 8, 5, 5, 5]\n",
      "4 4 7 | 6 8 5 7 || [1, 1, 3, 8, 5, 5, 5, 8]\n",
      "4 8 8 | 9 10 9 9 || [1, 1, 3, 8, 5, 5, 5, 8, 0]\n",
      "4 8 9 | 10 10 9 9 || [1, 1, 3, 8, 5, 5, 5, 8, 0, 8]\n",
      "8 0 0 | 1 4 3 7 || [1]\n",
      "8 0 1 | 2 4 3 7 || [1, 1]\n",
      "8 0 2 | 3 4 3 7 || [1, 1, 3]\n",
      "8 0 3 | 3 5 3 7 || [1, 1, 3, 5]\n",
      "8 0 4 | 3 6 3 7 || [1, 1, 3, 5, 5]\n",
      "8 0 5 | 3 7 3 7 || [1, 1, 3, 5, 5, 5]\n",
      "8 0 6 | 4 7 3 7 || [1, 1, 3, 5, 5, 5, 8]\n",
      "8 0 7 | 4 8 3 7 || [1, 1, 3, 5, 5, 5, 8, 8]\n",
      "8 8 8 | 9 12 11 9 || [1, 1, 3, 5, 5, 5, 8, 8, 0]\n",
      "8 8 9 | 10 12 11 9 || [1, 1, 3, 5, 5, 5, 8, 8, 0, 8]\n",
      "16 0 0 | 0 9 7 9 || [0]\n",
      "16 0 1 | 1 9 7 9 || [0, 1]\n",
      "16 0 2 | 2 9 7 9 || [0, 1, 1]\n",
      "16 0 3 | 3 9 7 9 || [0, 1, 1, 3]\n",
      "16 0 4 | 4 9 7 9 || [0, 1, 1, 3, 5]\n",
      "16 0 5 | 5 9 7 9 || [0, 1, 1, 3, 5, 5]\n",
      "16 0 6 | 6 9 7 9 || [0, 1, 1, 3, 5, 5, 5]\n",
      "16 0 7 | 7 9 7 9 || [0, 1, 1, 3, 5, 5, 5, 8]\n",
      "16 0 8 | 8 9 7 9 || [0, 1, 1, 3, 5, 5, 5, 8, 8]\n",
      "16 0 9 | 8 10 7 9 || [0, 1, 1, 3, 5, 5, 5, 8, 8, 8]\n",
      "2 0 0 | 1 1 0 1 || [3]\n",
      "2 0 1 | 1 2 0 1 || [3, 4]\n",
      "2 2 2 | 2 4 2 3 || [3, 4, 4]\n",
      "2 2 3 | 3 4 2 3 || [3, 4, 4, 5]\n",
      "2 4 4 | 5 5 4 5 || [3, 4, 4, 5, 5]\n",
      "2 4 5 | 5 6 4 5 || [3, 4, 4, 5, 5, 5]\n",
      "2 6 6 | 7 7 6 7 || [3, 4, 4, 5, 5, 5, 0]\n",
      "2 6 7 | 7 8 6 7 || [3, 4, 4, 5, 5, 5, 0, 9]\n",
      "2 8 8 | 9 9 8 9 || [3, 4, 4, 5, 5, 5, 0, 9, 0]\n",
      "2 8 9 | 9 10 8 9 || [3, 4, 4, 5, 5, 5, 0, 9, 0, 1]\n",
      "4 0 0 | 1 2 1 3 || [3]\n",
      "4 0 1 | 2 2 1 3 || [3, 4]\n",
      "4 0 2 | 2 3 1 3 || [3, 4, 4]\n",
      "4 0 3 | 2 4 1 3 || [3, 4, 4, 5]\n",
      "4 4 4 | 4 7 5 7 || [3, 4, 4, 5, 0]\n",
      "4 4 5 | 5 7 5 7 || [3, 4, 4, 5, 0, 5]\n",
      "4 4 6 | 6 7 5 7 || [3, 4, 4, 5, 0, 5, 5]\n",
      "4 4 7 | 6 8 5 7 || [3, 4, 4, 5, 0, 5, 5, 9]\n",
      "4 8 8 | 9 10 9 9 || [3, 4, 4, 5, 0, 5, 5, 9, 0]\n",
      "4 8 9 | 10 10 9 9 || [3, 4, 4, 5, 0, 5, 5, 9, 0, 1]\n",
      "8 0 0 | 0 5 3 7 || [0]\n",
      "8 0 1 | 1 5 3 7 || [0, 3]\n",
      "8 0 2 | 2 5 3 7 || [0, 3, 4]\n",
      "8 0 3 | 3 5 3 7 || [0, 3, 4, 4]\n",
      "8 0 4 | 4 5 3 7 || [0, 3, 4, 4, 5]\n",
      "8 0 5 | 4 6 3 7 || [0, 3, 4, 4, 5, 5]\n",
      "8 0 6 | 4 7 3 7 || [0, 3, 4, 4, 5, 5, 5]\n",
      "8 0 7 | 4 8 3 7 || [0, 3, 4, 4, 5, 5, 5, 9]\n",
      "8 8 8 | 9 12 11 9 || [0, 3, 4, 4, 5, 5, 5, 9, 0]\n",
      "8 8 9 | 10 12 11 9 || [0, 3, 4, 4, 5, 5, 5, 9, 0, 1]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 1 9 7 9 || [0, 0]\n",
      "16 0 2 | 1 10 7 9 || [0, 0, 1]\n",
      "16 0 3 | 2 10 7 9 || [0, 0, 1, 3]\n",
      "16 0 4 | 3 10 7 9 || [0, 0, 1, 3, 4]\n",
      "16 0 5 | 4 10 7 9 || [0, 0, 1, 3, 4, 4]\n",
      "16 0 6 | 5 10 7 9 || [0, 0, 1, 3, 4, 4, 5]\n",
      "16 0 7 | 6 10 7 9 || [0, 0, 1, 3, 4, 4, 5, 5]\n",
      "16 0 8 | 7 10 7 9 || [0, 0, 1, 3, 4, 4, 5, 5, 5]\n",
      "16 0 9 | 8 10 7 9 || [0, 0, 1, 3, 4, 4, 5, 5, 5, 9]\n",
      "2 0 0 | 1 1 0 1 || [1]\n",
      "2 0 1 | 1 2 0 1 || [1, 9]\n",
      "2 2 2 | 3 3 2 3 || [1, 9, 3]\n",
      "2 2 3 | 3 4 2 3 || [1, 9, 3, 6]\n",
      "2 4 4 | 5 5 4 5 || [1, 9, 3, 6, 2]\n",
      "2 4 5 | 5 6 4 5 || [1, 9, 3, 6, 2, 4]\n",
      "2 6 6 | 7 7 6 7 || [1, 9, 3, 6, 2, 4, 7]\n",
      "2 6 7 | 7 8 6 7 || [1, 9, 3, 6, 2, 4, 7, 7]\n",
      "2 8 8 | 9 9 8 9 || [1, 9, 3, 6, 2, 4, 7, 7, 6]\n",
      "2 8 9 | 9 10 8 9 || [1, 9, 3, 6, 2, 4, 7, 7, 6, 9]\n",
      "4 0 0 | 1 2 1 3 || [1]\n",
      "4 0 1 | 1 3 1 3 || [1, 3]\n",
      "4 0 2 | 1 4 1 3 || [1, 3, 6]\n",
      "4 0 3 | 2 4 1 3 || [1, 3, 6, 9]\n",
      "4 4 4 | 5 6 5 7 || [1, 3, 6, 9, 2]\n",
      "4 4 5 | 6 6 5 7 || [1, 3, 6, 9, 2, 4]\n",
      "4 4 6 | 6 7 5 7 || [1, 3, 6, 9, 2, 4, 7]\n",
      "4 4 7 | 6 8 5 7 || [1, 3, 6, 9, 2, 4, 7, 7]\n",
      "4 8 8 | 9 10 9 9 || [1, 3, 6, 9, 2, 4, 7, 7, 6]\n",
      "4 8 9 | 10 10 9 9 || [1, 3, 6, 9, 2, 4, 7, 7, 6, 9]\n",
      "8 0 0 | 1 4 3 7 || [1]\n",
      "8 0 1 | 1 5 3 7 || [1, 2]\n",
      "8 0 2 | 2 5 3 7 || [1, 2, 3]\n",
      "8 0 3 | 2 6 3 7 || [1, 2, 3, 4]\n",
      "8 0 4 | 3 6 3 7 || [1, 2, 3, 4, 6]\n",
      "8 0 5 | 3 7 3 7 || [1, 2, 3, 4, 6, 7]\n",
      "8 0 6 | 3 8 3 7 || [1, 2, 3, 4, 6, 7, 7]\n",
      "8 0 7 | 4 8 3 7 || [1, 2, 3, 4, 6, 7, 7, 9]\n",
      "8 8 8 | 9 12 11 9 || [1, 2, 3, 4, 6, 7, 7, 9, 6]\n",
      "8 8 9 | 10 12 11 9 || [1, 2, 3, 4, 6, 7, 7, 9, 6, 9]\n",
      "16 0 0 | 1 8 7 9 || [1]\n",
      "16 0 1 | 2 8 7 9 || [1, 2]\n",
      "16 0 2 | 3 8 7 9 || [1, 2, 3]\n",
      "16 0 3 | 4 8 7 9 || [1, 2, 3, 4]\n",
      "16 0 4 | 5 8 7 9 || [1, 2, 3, 4, 6]\n",
      "16 0 5 | 5 9 7 9 || [1, 2, 3, 4, 6, 6]\n",
      "16 0 6 | 6 9 7 9 || [1, 2, 3, 4, 6, 6, 7]\n",
      "16 0 7 | 7 9 7 9 || [1, 2, 3, 4, 6, 6, 7, 7]\n",
      "16 0 8 | 8 9 7 9 || [1, 2, 3, 4, 6, 6, 7, 7, 9]\n",
      "16 0 9 | 8 10 7 9 || [1, 2, 3, 4, 6, 6, 7, 7, 9, 9]\n",
      "2 0 0 | 1 1 0 1 || [0]\n",
      "2 0 1 | 1 2 0 1 || [0, 0]\n",
      "2 2 2 | 3 3 2 3 || [0, 0, 6]\n",
      "2 2 3 | 3 4 2 3 || [0, 0, 6, 7]\n",
      "2 4 4 | 4 6 4 5 || [0, 0, 6, 7, 4]\n",
      "2 4 5 | 5 6 4 5 || [0, 0, 6, 7, 4, 5]\n",
      "2 6 6 | 6 8 6 7 || [0, 0, 6, 7, 4, 5, 3]\n",
      "2 6 7 | 7 8 6 7 || [0, 0, 6, 7, 4, 5, 3, 9]\n",
      "2 8 8 | 9 9 8 9 || [0, 0, 6, 7, 4, 5, 3, 9, 3]\n",
      "2 8 9 | 9 10 8 9 || [0, 0, 6, 7, 4, 5, 3, 9, 3, 5]\n",
      "4 0 0 | 1 2 1 3 || [0]\n",
      "4 0 1 | 2 2 1 3 || [0, 0]\n",
      "4 0 2 | 2 3 1 3 || [0, 0, 6]\n",
      "4 0 3 | 2 4 1 3 || [0, 0, 6, 7]\n",
      "4 4 4 | 4 7 5 7 || [0, 0, 6, 7, 3]\n",
      "4 4 5 | 5 7 5 7 || [0, 0, 6, 7, 3, 4]\n",
      "4 4 6 | 6 7 5 7 || [0, 0, 6, 7, 3, 4, 5]\n",
      "4 4 7 | 6 8 5 7 || [0, 0, 6, 7, 3, 4, 5, 9]\n",
      "4 8 8 | 9 10 9 9 || [0, 0, 6, 7, 3, 4, 5, 9, 3]\n",
      "4 8 9 | 10 10 9 9 || [0, 0, 6, 7, 3, 4, 5, 9, 3, 5]\n",
      "8 0 0 | 1 4 3 7 || [0]\n",
      "8 0 1 | 2 4 3 7 || [0, 0]\n",
      "8 0 2 | 2 5 3 7 || [0, 0, 3]\n",
      "8 0 3 | 2 6 3 7 || [0, 0, 3, 4]\n",
      "8 0 4 | 2 7 3 7 || [0, 0, 3, 4, 5]\n",
      "8 0 5 | 3 7 3 7 || [0, 0, 3, 4, 5, 6]\n",
      "8 0 6 | 4 7 3 7 || [0, 0, 3, 4, 5, 6, 7]\n",
      "8 0 7 | 4 8 3 7 || [0, 0, 3, 4, 5, 6, 7, 9]\n",
      "8 8 8 | 9 12 11 9 || [0, 0, 3, 4, 5, 6, 7, 9, 3]\n",
      "8 8 9 | 10 12 11 9 || [0, 0, 3, 4, 5, 6, 7, 9, 3, 5]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 2 8 7 9 || [0, 0]\n",
      "16 0 2 | 3 8 7 9 || [0, 0, 3]\n",
      "16 0 3 | 3 9 7 9 || [0, 0, 3, 3]\n",
      "16 0 4 | 4 9 7 9 || [0, 0, 3, 3, 4]\n",
      "16 0 5 | 5 9 7 9 || [0, 0, 3, 3, 4, 5]\n",
      "16 0 6 | 5 10 7 9 || [0, 0, 3, 3, 4, 5, 5]\n",
      "16 0 7 | 6 10 7 9 || [0, 0, 3, 3, 4, 5, 5, 6]\n",
      "16 0 8 | 7 10 7 9 || [0, 0, 3, 3, 4, 5, 5, 6, 7]\n",
      "16 0 9 | 8 10 7 9 || [0, 0, 3, 3, 4, 5, 5, 6, 7, 9]\n",
      "2 0 0 | 1 1 0 1 || [1]\n",
      "2 0 1 | 1 2 0 1 || [1, 8]\n",
      "2 2 2 | 3 3 2 3 || [1, 8, 4]\n",
      "2 2 3 | 3 4 2 3 || [1, 8, 4, 7]\n",
      "2 4 4 | 4 6 4 5 || [1, 8, 4, 7, 1]\n",
      "2 4 5 | 5 6 4 5 || [1, 8, 4, 7, 1, 6]\n",
      "2 6 6 | 7 7 6 7 || [1, 8, 4, 7, 1, 6, 6]\n",
      "2 6 7 | 7 8 6 7 || [1, 8, 4, 7, 1, 6, 6, 8]\n",
      "2 8 8 | 9 9 8 9 || [1, 8, 4, 7, 1, 6, 6, 8, 8]\n",
      "2 8 9 | 9 10 8 9 || [1, 8, 4, 7, 1, 6, 6, 8, 8, 8]\n",
      "4 0 0 | 1 2 1 3 || [1]\n",
      "4 0 1 | 1 3 1 3 || [1, 4]\n",
      "4 0 2 | 1 4 1 3 || [1, 4, 7]\n",
      "4 0 3 | 2 4 1 3 || [1, 4, 7, 8]\n",
      "4 4 4 | 5 6 5 7 || [1, 4, 7, 8, 1]\n",
      "4 4 5 | 6 6 5 7 || [1, 4, 7, 8, 1, 6]\n",
      "4 4 6 | 6 7 5 7 || [1, 4, 7, 8, 1, 6, 6]\n",
      "4 4 7 | 6 8 5 7 || [1, 4, 7, 8, 1, 6, 6, 8]\n",
      "4 8 8 | 9 10 9 9 || [1, 4, 7, 8, 1, 6, 6, 8, 8]\n",
      "4 8 9 | 10 10 9 9 || [1, 4, 7, 8, 1, 6, 6, 8, 8, 8]\n",
      "8 0 0 | 1 4 3 7 || [1]\n",
      "8 0 1 | 1 5 3 7 || [1, 1]\n",
      "8 0 2 | 2 5 3 7 || [1, 1, 4]\n",
      "8 0 3 | 2 6 3 7 || [1, 1, 4, 6]\n",
      "8 0 4 | 2 7 3 7 || [1, 1, 4, 6, 6]\n",
      "8 0 5 | 3 7 3 7 || [1, 1, 4, 6, 6, 7]\n",
      "8 0 6 | 4 7 3 7 || [1, 1, 4, 6, 6, 7, 8]\n",
      "8 0 7 | 4 8 3 7 || [1, 1, 4, 6, 6, 7, 8, 8]\n",
      "8 8 8 | 9 12 11 9 || [1, 1, 4, 6, 6, 7, 8, 8, 8]\n",
      "8 8 9 | 10 12 11 9 || [1, 1, 4, 6, 6, 7, 8, 8, 8, 8]\n",
      "16 0 0 | 1 8 7 9 || [1]\n",
      "16 0 1 | 2 8 7 9 || [1, 1]\n",
      "16 0 2 | 3 8 7 9 || [1, 1, 4]\n",
      "16 0 3 | 4 8 7 9 || [1, 1, 4, 6]\n",
      "16 0 4 | 5 8 7 9 || [1, 1, 4, 6, 6]\n",
      "16 0 5 | 6 8 7 9 || [1, 1, 4, 6, 6, 7]\n",
      "16 0 6 | 7 8 7 9 || [1, 1, 4, 6, 6, 7, 8]\n",
      "16 0 7 | 8 8 7 9 || [1, 1, 4, 6, 6, 7, 8, 8]\n",
      "16 0 8 | 8 9 7 9 || [1, 1, 4, 6, 6, 7, 8, 8, 8]\n",
      "16 0 9 | 8 10 7 9 || [1, 1, 4, 6, 6, 7, 8, 8, 8, 8]\n",
      "2 0 0 | 1 1 0 1 || [2]\n",
      "2 0 1 | 1 2 0 1 || [2, 8]\n",
      "2 2 2 | 2 4 2 3 || [2, 8, 0]\n",
      "2 2 3 | 3 4 2 3 || [2, 8, 0, 4]\n",
      "2 4 4 | 5 5 4 5 || [2, 8, 0, 4, 3]\n",
      "2 4 5 | 5 6 4 5 || [2, 8, 0, 4, 3, 9]\n",
      "2 6 6 | 7 7 6 7 || [2, 8, 0, 4, 3, 9, 5]\n",
      "2 6 7 | 7 8 6 7 || [2, 8, 0, 4, 3, 9, 5, 5]\n",
      "2 8 8 | 8 10 8 9 || [2, 8, 0, 4, 3, 9, 5, 5, 1]\n",
      "2 8 9 | 9 10 8 9 || [2, 8, 0, 4, 3, 9, 5, 5, 1, 2]\n",
      "4 0 0 | 0 3 1 3 || [0]\n",
      "4 0 1 | 1 3 1 3 || [0, 2]\n",
      "4 0 2 | 1 4 1 3 || [0, 2, 4]\n",
      "4 0 3 | 2 4 1 3 || [0, 2, 4, 8]\n",
      "4 4 4 | 5 6 5 7 || [0, 2, 4, 8, 3]\n",
      "4 4 5 | 5 7 5 7 || [0, 2, 4, 8, 3, 5]\n",
      "4 4 6 | 5 8 5 7 || [0, 2, 4, 8, 3, 5, 5]\n",
      "4 4 7 | 6 8 5 7 || [0, 2, 4, 8, 3, 5, 5, 9]\n",
      "4 8 8 | 9 10 9 9 || [0, 2, 4, 8, 3, 5, 5, 9, 1]\n",
      "4 8 9 | 10 10 9 9 || [0, 2, 4, 8, 3, 5, 5, 9, 1, 2]\n",
      "8 0 0 | 1 4 3 7 || [0]\n",
      "8 0 1 | 2 4 3 7 || [0, 2]\n",
      "8 0 2 | 2 5 3 7 || [0, 2, 3]\n",
      "8 0 3 | 3 5 3 7 || [0, 2, 3, 4]\n",
      "8 0 4 | 3 6 3 7 || [0, 2, 3, 4, 5]\n",
      "8 0 5 | 3 7 3 7 || [0, 2, 3, 4, 5, 5]\n",
      "8 0 6 | 4 7 3 7 || [0, 2, 3, 4, 5, 5, 8]\n",
      "8 0 7 | 4 8 3 7 || [0, 2, 3, 4, 5, 5, 8, 9]\n",
      "8 8 8 | 9 12 11 9 || [0, 2, 3, 4, 5, 5, 8, 9, 1]\n",
      "8 8 9 | 10 12 11 9 || [0, 2, 3, 4, 5, 5, 8, 9, 1, 2]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 1 9 7 9 || [0, 1]\n",
      "16 0 2 | 2 9 7 9 || [0, 1, 2]\n",
      "16 0 3 | 2 10 7 9 || [0, 1, 2, 2]\n",
      "16 0 4 | 3 10 7 9 || [0, 1, 2, 2, 3]\n",
      "16 0 5 | 4 10 7 9 || [0, 1, 2, 2, 3, 4]\n",
      "16 0 6 | 5 10 7 9 || [0, 1, 2, 2, 3, 4, 5]\n",
      "16 0 7 | 6 10 7 9 || [0, 1, 2, 2, 3, 4, 5, 5]\n",
      "16 0 8 | 7 10 7 9 || [0, 1, 2, 2, 3, 4, 5, 5, 8]\n",
      "16 0 9 | 8 10 7 9 || [0, 1, 2, 2, 3, 4, 5, 5, 8, 9]\n",
      "2 0 0 | 1 1 0 1 || [6]\n",
      "2 0 1 | 1 2 0 1 || [6, 6]\n",
      "2 2 2 | 2 4 2 3 || [6, 6, 3]\n",
      "2 2 3 | 3 4 2 3 || [6, 6, 3, 9]\n",
      "2 4 4 | 5 5 4 5 || [6, 6, 3, 9, 2]\n",
      "2 4 5 | 5 6 4 5 || [6, 6, 3, 9, 2, 9]\n",
      "2 6 6 | 7 7 6 7 || [6, 6, 3, 9, 2, 9, 0]\n",
      "2 6 7 | 7 8 6 7 || [6, 6, 3, 9, 2, 9, 0, 0]\n",
      "2 8 8 | 8 10 8 9 || [6, 6, 3, 9, 2, 9, 0, 0, 2]\n",
      "2 8 9 | 9 10 8 9 || [6, 6, 3, 9, 2, 9, 0, 0, 2, 3]\n",
      "4 0 0 | 0 3 1 3 || [3]\n",
      "4 0 1 | 1 3 1 3 || [3, 6]\n",
      "4 0 2 | 2 3 1 3 || [3, 6, 6]\n",
      "4 0 3 | 2 4 1 3 || [3, 6, 6, 9]\n",
      "4 4 4 | 4 7 5 7 || [3, 6, 6, 9, 0]\n",
      "4 4 5 | 4 8 5 7 || [3, 6, 6, 9, 0, 0]\n",
      "4 4 6 | 5 8 5 7 || [3, 6, 6, 9, 0, 0, 2]\n",
      "4 4 7 | 6 8 5 7 || [3, 6, 6, 9, 0, 0, 2, 9]\n",
      "4 8 8 | 9 10 9 9 || [3, 6, 6, 9, 0, 0, 2, 9, 2]\n",
      "4 8 9 | 10 10 9 9 || [3, 6, 6, 9, 0, 0, 2, 9, 2, 3]\n",
      "8 0 0 | 0 5 3 7 || [0]\n",
      "8 0 1 | 0 6 3 7 || [0, 0]\n",
      "8 0 2 | 0 7 3 7 || [0, 0, 2]\n",
      "8 0 3 | 1 7 3 7 || [0, 0, 2, 3]\n",
      "8 0 4 | 2 7 3 7 || [0, 0, 2, 3, 6]\n",
      "8 0 5 | 3 7 3 7 || [0, 0, 2, 3, 6, 6]\n",
      "8 0 6 | 4 7 3 7 || [0, 0, 2, 3, 6, 6, 9]\n",
      "8 0 7 | 4 8 3 7 || [0, 0, 2, 3, 6, 6, 9, 9]\n",
      "8 8 8 | 9 12 11 9 || [0, 0, 2, 3, 6, 6, 9, 9, 2]\n",
      "8 8 9 | 10 12 11 9 || [0, 0, 2, 3, 6, 6, 9, 9, 2, 3]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 2 8 7 9 || [0, 0]\n",
      "16 0 2 | 3 8 7 9 || [0, 0, 2]\n",
      "16 0 3 | 3 9 7 9 || [0, 0, 2, 2]\n",
      "16 0 4 | 4 9 7 9 || [0, 0, 2, 2, 3]\n",
      "16 0 5 | 4 10 7 9 || [0, 0, 2, 2, 3, 3]\n",
      "16 0 6 | 5 10 7 9 || [0, 0, 2, 2, 3, 3, 6]\n",
      "16 0 7 | 6 10 7 9 || [0, 0, 2, 2, 3, 3, 6, 6]\n",
      "16 0 8 | 7 10 7 9 || [0, 0, 2, 2, 3, 3, 6, 6, 9]\n",
      "16 0 9 | 8 10 7 9 || [0, 0, 2, 2, 3, 3, 6, 6, 9, 9]\n",
      "2 0 0 | 1 1 0 1 || [0]\n",
      "2 0 1 | 1 2 0 1 || [0, 7]\n",
      "2 2 2 | 3 3 2 3 || [0, 7, 5]\n",
      "2 2 3 | 3 4 2 3 || [0, 7, 5, 5]\n",
      "2 4 4 | 5 5 4 5 || [0, 7, 5, 5, 7]\n",
      "2 4 5 | 5 6 4 5 || [0, 7, 5, 5, 7, 8]\n",
      "2 6 6 | 7 7 6 7 || [0, 7, 5, 5, 7, 8, 2]\n",
      "2 6 7 | 7 8 6 7 || [0, 7, 5, 5, 7, 8, 2, 7]\n",
      "2 8 8 | 8 10 8 9 || [0, 7, 5, 5, 7, 8, 2, 7, 0]\n",
      "2 8 9 | 9 10 8 9 || [0, 7, 5, 5, 7, 8, 2, 7, 0, 6]\n",
      "4 0 0 | 1 2 1 3 || [0]\n",
      "4 0 1 | 1 3 1 3 || [0, 5]\n",
      "4 0 2 | 1 4 1 3 || [0, 5, 5]\n",
      "4 0 3 | 2 4 1 3 || [0, 5, 5, 7]\n",
      "4 4 4 | 4 7 5 7 || [0, 5, 5, 7, 2]\n",
      "4 4 5 | 5 7 5 7 || [0, 5, 5, 7, 2, 7]\n",
      "4 4 6 | 5 8 5 7 || [0, 5, 5, 7, 2, 7, 7]\n",
      "4 4 7 | 6 8 5 7 || [0, 5, 5, 7, 2, 7, 7, 8]\n",
      "4 8 8 | 9 10 9 9 || [0, 5, 5, 7, 2, 7, 7, 8, 0]\n",
      "4 8 9 | 10 10 9 9 || [0, 5, 5, 7, 2, 7, 7, 8, 0, 6]\n",
      "8 0 0 | 1 4 3 7 || [0]\n",
      "8 0 1 | 1 5 3 7 || [0, 2]\n",
      "8 0 2 | 2 5 3 7 || [0, 2, 5]\n",
      "8 0 3 | 3 5 3 7 || [0, 2, 5, 5]\n",
      "8 0 4 | 4 5 3 7 || [0, 2, 5, 5, 7]\n",
      "8 0 5 | 4 6 3 7 || [0, 2, 5, 5, 7, 7]\n",
      "8 0 6 | 4 7 3 7 || [0, 2, 5, 5, 7, 7, 7]\n",
      "8 0 7 | 4 8 3 7 || [0, 2, 5, 5, 7, 7, 7, 8]\n",
      "8 8 8 | 9 12 11 9 || [0, 2, 5, 5, 7, 7, 7, 8, 0]\n",
      "8 8 9 | 10 12 11 9 || [0, 2, 5, 5, 7, 7, 7, 8, 0, 6]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 1 9 7 9 || [0, 0]\n",
      "16 0 2 | 2 9 7 9 || [0, 0, 2]\n",
      "16 0 3 | 3 9 7 9 || [0, 0, 2, 5]\n",
      "16 0 4 | 4 9 7 9 || [0, 0, 2, 5, 5]\n",
      "16 0 5 | 4 10 7 9 || [0, 0, 2, 5, 5, 6]\n",
      "16 0 6 | 5 10 7 9 || [0, 0, 2, 5, 5, 6, 7]\n",
      "16 0 7 | 6 10 7 9 || [0, 0, 2, 5, 5, 6, 7, 7]\n",
      "16 0 8 | 7 10 7 9 || [0, 0, 2, 5, 5, 6, 7, 7, 7]\n",
      "16 0 9 | 8 10 7 9 || [0, 0, 2, 5, 5, 6, 7, 7, 7, 8]\n",
      "2 0 0 | 1 1 0 1 || [2]\n",
      "2 0 1 | 1 2 0 1 || [2, 7]\n",
      "2 2 2 | 3 3 2 3 || [2, 7, 4]\n",
      "2 2 3 | 3 4 2 3 || [2, 7, 4, 5]\n",
      "2 4 4 | 5 5 4 5 || [2, 7, 4, 5, 5]\n",
      "2 4 5 | 5 6 4 5 || [2, 7, 4, 5, 5, 6]\n",
      "2 6 6 | 6 8 6 7 || [2, 7, 4, 5, 5, 6, 4]\n",
      "2 6 7 | 7 8 6 7 || [2, 7, 4, 5, 5, 6, 4, 9]\n",
      "2 8 8 | 9 9 8 9 || [2, 7, 4, 5, 5, 6, 4, 9, 4]\n",
      "2 8 9 | 9 10 8 9 || [2, 7, 4, 5, 5, 6, 4, 9, 4, 8]\n",
      "4 0 0 | 1 2 1 3 || [2]\n",
      "4 0 1 | 1 3 1 3 || [2, 4]\n",
      "4 0 2 | 1 4 1 3 || [2, 4, 5]\n",
      "4 0 3 | 2 4 1 3 || [2, 4, 5, 7]\n",
      "4 4 4 | 4 7 5 7 || [2, 4, 5, 7, 4]\n",
      "4 4 5 | 5 7 5 7 || [2, 4, 5, 7, 4, 5]\n",
      "4 4 6 | 6 7 5 7 || [2, 4, 5, 7, 4, 5, 6]\n",
      "4 4 7 | 6 8 5 7 || [2, 4, 5, 7, 4, 5, 6, 9]\n",
      "4 8 8 | 9 10 9 9 || [2, 4, 5, 7, 4, 5, 6, 9, 4]\n",
      "4 8 9 | 10 10 9 9 || [2, 4, 5, 7, 4, 5, 6, 9, 4, 8]\n",
      "8 0 0 | 1 4 3 7 || [2]\n",
      "8 0 1 | 2 4 3 7 || [2, 4]\n",
      "8 0 2 | 2 5 3 7 || [2, 4, 4]\n",
      "8 0 3 | 3 5 3 7 || [2, 4, 4, 5]\n",
      "8 0 4 | 3 6 3 7 || [2, 4, 4, 5, 5]\n",
      "8 0 5 | 3 7 3 7 || [2, 4, 4, 5, 5, 6]\n",
      "8 0 6 | 4 7 3 7 || [2, 4, 4, 5, 5, 6, 7]\n",
      "8 0 7 | 4 8 3 7 || [2, 4, 4, 5, 5, 6, 7, 9]\n",
      "8 8 8 | 9 12 11 9 || [2, 4, 4, 5, 5, 6, 7, 9, 4]\n",
      "8 8 9 | 10 12 11 9 || [2, 4, 4, 5, 5, 6, 7, 9, 4, 8]\n",
      "16 0 0 | 1 8 7 9 || [2]\n",
      "16 0 1 | 2 8 7 9 || [2, 4]\n",
      "16 0 2 | 3 8 7 9 || [2, 4, 4]\n",
      "16 0 3 | 3 9 7 9 || [2, 4, 4, 4]\n",
      "16 0 4 | 4 9 7 9 || [2, 4, 4, 4, 5]\n",
      "16 0 5 | 5 9 7 9 || [2, 4, 4, 4, 5, 5]\n",
      "16 0 6 | 6 9 7 9 || [2, 4, 4, 4, 5, 5, 6]\n",
      "16 0 7 | 7 9 7 9 || [2, 4, 4, 4, 5, 5, 6, 7]\n",
      "16 0 8 | 7 10 7 9 || [2, 4, 4, 4, 5, 5, 6, 7, 8]\n",
      "16 0 9 | 8 10 7 9 || [2, 4, 4, 4, 5, 5, 6, 7, 8, 9]\n",
      "2 0 0 | 1 1 0 1 || [5]\n",
      "2 0 1 | 1 2 0 1 || [5, 6]\n",
      "2 2 2 | 2 4 2 3 || [5, 6, 5]\n",
      "2 2 3 | 3 4 2 3 || [5, 6, 5, 9]\n",
      "2 4 4 | 5 5 4 5 || [5, 6, 5, 9, 0]\n",
      "2 4 5 | 5 6 4 5 || [5, 6, 5, 9, 0, 3]\n",
      "2 6 6 | 6 8 6 7 || [5, 6, 5, 9, 0, 3, 4]\n",
      "2 6 7 | 7 8 6 7 || [5, 6, 5, 9, 0, 3, 4, 9]\n",
      "2 8 8 | 8 10 8 9 || [5, 6, 5, 9, 0, 3, 4, 9, 6]\n",
      "2 8 9 | 9 10 8 9 || [5, 6, 5, 9, 0, 3, 4, 9, 6, 9]\n",
      "4 0 0 | 1 2 1 3 || [5]\n",
      "4 0 1 | 1 3 1 3 || [5, 5]\n",
      "4 0 2 | 2 3 1 3 || [5, 5, 6]\n",
      "4 0 3 | 2 4 1 3 || [5, 5, 6, 9]\n",
      "4 4 4 | 5 6 5 7 || [5, 5, 6, 9, 0]\n",
      "4 4 5 | 6 6 5 7 || [5, 5, 6, 9, 0, 3]\n",
      "4 4 6 | 6 7 5 7 || [5, 5, 6, 9, 0, 3, 4]\n",
      "4 4 7 | 6 8 5 7 || [5, 5, 6, 9, 0, 3, 4, 9]\n",
      "4 8 8 | 9 10 9 9 || [5, 5, 6, 9, 0, 3, 4, 9, 6]\n",
      "4 8 9 | 10 10 9 9 || [5, 5, 6, 9, 0, 3, 4, 9, 6, 9]\n",
      "8 0 0 | 0 5 3 7 || [0]\n",
      "8 0 1 | 0 6 3 7 || [0, 3]\n",
      "8 0 2 | 0 7 3 7 || [0, 3, 4]\n",
      "8 0 3 | 1 7 3 7 || [0, 3, 4, 5]\n",
      "8 0 4 | 2 7 3 7 || [0, 3, 4, 5, 5]\n",
      "8 0 5 | 3 7 3 7 || [0, 3, 4, 5, 5, 6]\n",
      "8 0 6 | 4 7 3 7 || [0, 3, 4, 5, 5, 6, 9]\n",
      "8 0 7 | 4 8 3 7 || [0, 3, 4, 5, 5, 6, 9, 9]\n",
      "8 8 8 | 9 12 11 9 || [0, 3, 4, 5, 5, 6, 9, 9, 6]\n",
      "8 8 9 | 10 12 11 9 || [0, 3, 4, 5, 5, 6, 9, 9, 6, 9]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 2 8 7 9 || [0, 3]\n",
      "16 0 2 | 3 8 7 9 || [0, 3, 4]\n",
      "16 0 3 | 4 8 7 9 || [0, 3, 4, 5]\n",
      "16 0 4 | 5 8 7 9 || [0, 3, 4, 5, 5]\n",
      "16 0 5 | 6 8 7 9 || [0, 3, 4, 5, 5, 6]\n",
      "16 0 6 | 6 9 7 9 || [0, 3, 4, 5, 5, 6, 6]\n",
      "16 0 7 | 7 9 7 9 || [0, 3, 4, 5, 5, 6, 6, 9]\n",
      "16 0 8 | 8 9 7 9 || [0, 3, 4, 5, 5, 6, 6, 9, 9]\n",
      "16 0 9 | 8 10 7 9 || [0, 3, 4, 5, 5, 6, 6, 9, 9, 9]\n",
      "2 0 0 | 0 2 0 1 || [5]\n",
      "2 0 1 | 1 2 0 1 || [5, 9]\n",
      "2 2 2 | 2 4 2 3 || [5, 9, 0]\n",
      "2 2 3 | 3 4 2 3 || [5, 9, 0, 6]\n",
      "2 4 4 | 5 5 4 5 || [5, 9, 0, 6, 1]\n",
      "2 4 5 | 5 6 4 5 || [5, 9, 0, 6, 1, 2]\n",
      "2 6 6 | 6 8 6 7 || [5, 9, 0, 6, 1, 2, 0]\n",
      "2 6 7 | 7 8 6 7 || [5, 9, 0, 6, 1, 2, 0, 4]\n",
      "2 8 8 | 8 10 8 9 || [5, 9, 0, 6, 1, 2, 0, 4, 3]\n",
      "2 8 9 | 9 10 8 9 || [5, 9, 0, 6, 1, 2, 0, 4, 3, 5]\n",
      "4 0 0 | 0 3 1 3 || [0]\n",
      "4 0 1 | 1 3 1 3 || [0, 5]\n",
      "4 0 2 | 1 4 1 3 || [0, 5, 6]\n",
      "4 0 3 | 2 4 1 3 || [0, 5, 6, 9]\n",
      "4 4 4 | 4 7 5 7 || [0, 5, 6, 9, 0]\n",
      "4 4 5 | 5 7 5 7 || [0, 5, 6, 9, 0, 1]\n",
      "4 4 6 | 6 7 5 7 || [0, 5, 6, 9, 0, 1, 2]\n",
      "4 4 7 | 6 8 5 7 || [0, 5, 6, 9, 0, 1, 2, 4]\n",
      "4 8 8 | 9 10 9 9 || [0, 5, 6, 9, 0, 1, 2, 4, 3]\n",
      "4 8 9 | 10 10 9 9 || [0, 5, 6, 9, 0, 1, 2, 4, 3, 5]\n",
      "8 0 0 | 1 4 3 7 || [0]\n",
      "8 0 1 | 1 5 3 7 || [0, 0]\n",
      "8 0 2 | 1 6 3 7 || [0, 0, 1]\n",
      "8 0 3 | 1 7 3 7 || [0, 0, 1, 2]\n",
      "8 0 4 | 1 8 3 7 || [0, 0, 1, 2, 4]\n",
      "8 0 5 | 2 8 3 7 || [0, 0, 1, 2, 4, 5]\n",
      "8 0 6 | 3 8 3 7 || [0, 0, 1, 2, 4, 5, 6]\n",
      "8 0 7 | 4 8 3 7 || [0, 0, 1, 2, 4, 5, 6, 9]\n",
      "8 8 8 | 9 12 11 9 || [0, 0, 1, 2, 4, 5, 6, 9, 3]\n",
      "8 8 9 | 10 12 11 9 || [0, 0, 1, 2, 4, 5, 6, 9, 3, 5]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 2 8 7 9 || [0, 0]\n",
      "16 0 2 | 3 8 7 9 || [0, 0, 1]\n",
      "16 0 3 | 4 8 7 9 || [0, 0, 1, 2]\n",
      "16 0 4 | 4 9 7 9 || [0, 0, 1, 2, 3]\n",
      "16 0 5 | 5 9 7 9 || [0, 0, 1, 2, 3, 4]\n",
      "16 0 6 | 6 9 7 9 || [0, 0, 1, 2, 3, 4, 5]\n",
      "16 0 7 | 6 10 7 9 || [0, 0, 1, 2, 3, 4, 5, 5]\n",
      "16 0 8 | 7 10 7 9 || [0, 0, 1, 2, 3, 4, 5, 5, 6]\n",
      "16 0 9 | 8 10 7 9 || [0, 0, 1, 2, 3, 4, 5, 5, 6, 9]\n",
      "2 0 0 | 0 2 0 1 || [7]\n",
      "2 0 1 | 1 2 0 1 || [7, 9]\n",
      "2 2 2 | 3 3 2 3 || [7, 9, 3]\n",
      "2 2 3 | 3 4 2 3 || [7, 9, 3, 3]\n",
      "2 4 4 | 5 5 4 5 || [7, 9, 3, 3, 5]\n",
      "2 4 5 | 5 6 4 5 || [7, 9, 3, 3, 5, 5]\n",
      "2 6 6 | 7 7 6 7 || [7, 9, 3, 3, 5, 5, 2]\n",
      "2 6 7 | 7 8 6 7 || [7, 9, 3, 3, 5, 5, 2, 9]\n",
      "2 8 8 | 9 9 8 9 || [7, 9, 3, 3, 5, 5, 2, 9, 3]\n",
      "2 8 9 | 9 10 8 9 || [7, 9, 3, 3, 5, 5, 2, 9, 3, 7]\n",
      "4 0 0 | 0 3 1 3 || [3]\n",
      "4 0 1 | 0 4 1 3 || [3, 3]\n",
      "4 0 2 | 1 4 1 3 || [3, 3, 7]\n",
      "4 0 3 | 2 4 1 3 || [3, 3, 7, 9]\n",
      "4 4 4 | 4 7 5 7 || [3, 3, 7, 9, 2]\n",
      "4 4 5 | 5 7 5 7 || [3, 3, 7, 9, 2, 5]\n",
      "4 4 6 | 6 7 5 7 || [3, 3, 7, 9, 2, 5, 5]\n",
      "4 4 7 | 6 8 5 7 || [3, 3, 7, 9, 2, 5, 5, 9]\n",
      "4 8 8 | 9 10 9 9 || [3, 3, 7, 9, 2, 5, 5, 9, 3]\n",
      "4 8 9 | 10 10 9 9 || [3, 3, 7, 9, 2, 5, 5, 9, 3, 7]\n",
      "8 0 0 | 0 5 3 7 || [2]\n",
      "8 0 1 | 1 5 3 7 || [2, 3]\n",
      "8 0 2 | 2 5 3 7 || [2, 3, 3]\n",
      "8 0 3 | 2 6 3 7 || [2, 3, 3, 5]\n",
      "8 0 4 | 2 7 3 7 || [2, 3, 3, 5, 5]\n",
      "8 0 5 | 3 7 3 7 || [2, 3, 3, 5, 5, 7]\n",
      "8 0 6 | 4 7 3 7 || [2, 3, 3, 5, 5, 7, 9]\n",
      "8 0 7 | 4 8 3 7 || [2, 3, 3, 5, 5, 7, 9, 9]\n",
      "8 8 8 | 9 12 11 9 || [2, 3, 3, 5, 5, 7, 9, 9, 3]\n",
      "8 8 9 | 10 12 11 9 || [2, 3, 3, 5, 5, 7, 9, 9, 3, 7]\n",
      "16 0 0 | 1 8 7 9 || [2]\n",
      "16 0 1 | 2 8 7 9 || [2, 3]\n",
      "16 0 2 | 3 8 7 9 || [2, 3, 3]\n",
      "16 0 3 | 3 9 7 9 || [2, 3, 3, 3]\n",
      "16 0 4 | 4 9 7 9 || [2, 3, 3, 3, 5]\n",
      "16 0 5 | 5 9 7 9 || [2, 3, 3, 3, 5, 5]\n",
      "16 0 6 | 6 9 7 9 || [2, 3, 3, 3, 5, 5, 7]\n",
      "16 0 7 | 6 10 7 9 || [2, 3, 3, 3, 5, 5, 7, 7]\n",
      "16 0 8 | 7 10 7 9 || [2, 3, 3, 3, 5, 5, 7, 7, 9]\n",
      "16 0 9 | 8 10 7 9 || [2, 3, 3, 3, 5, 5, 7, 7, 9, 9]\n",
      "2 0 0 | 1 1 0 1 || [4]\n",
      "2 0 1 | 1 2 0 1 || [4, 6]\n",
      "2 2 2 | 3 3 2 3 || [4, 6, 1]\n",
      "2 2 3 | 3 4 2 3 || [4, 6, 1, 5]\n",
      "2 4 4 | 5 5 4 5 || [4, 6, 1, 5, 1]\n",
      "2 4 5 | 5 6 4 5 || [4, 6, 1, 5, 1, 5]\n",
      "2 6 6 | 7 7 6 7 || [4, 6, 1, 5, 1, 5, 1]\n",
      "2 6 7 | 7 8 6 7 || [4, 6, 1, 5, 1, 5, 1, 4]\n",
      "2 8 8 | 8 10 8 9 || [4, 6, 1, 5, 1, 5, 1, 4, 2]\n",
      "2 8 9 | 9 10 8 9 || [4, 6, 1, 5, 1, 5, 1, 4, 2, 3]\n",
      "4 0 0 | 0 3 1 3 || [1]\n",
      "4 0 1 | 1 3 1 3 || [1, 4]\n",
      "4 0 2 | 1 4 1 3 || [1, 4, 5]\n",
      "4 0 3 | 2 4 1 3 || [1, 4, 5, 6]\n",
      "4 4 4 | 5 6 5 7 || [1, 4, 5, 6, 1]\n",
      "4 4 5 | 5 7 5 7 || [1, 4, 5, 6, 1, 1]\n",
      "4 4 6 | 5 8 5 7 || [1, 4, 5, 6, 1, 1, 4]\n",
      "4 4 7 | 6 8 5 7 || [1, 4, 5, 6, 1, 1, 4, 5]\n",
      "4 8 8 | 9 10 9 9 || [1, 4, 5, 6, 1, 1, 4, 5, 2]\n",
      "4 8 9 | 10 10 9 9 || [1, 4, 5, 6, 1, 1, 4, 5, 2, 3]\n",
      "8 0 0 | 1 4 3 7 || [1]\n",
      "8 0 1 | 1 5 3 7 || [1, 1]\n",
      "8 0 2 | 1 6 3 7 || [1, 1, 1]\n",
      "8 0 3 | 2 6 3 7 || [1, 1, 1, 4]\n",
      "8 0 4 | 2 7 3 7 || [1, 1, 1, 4, 4]\n",
      "8 0 5 | 3 7 3 7 || [1, 1, 1, 4, 4, 5]\n",
      "8 0 6 | 3 8 3 7 || [1, 1, 1, 4, 4, 5, 5]\n",
      "8 0 7 | 4 8 3 7 || [1, 1, 1, 4, 4, 5, 5, 6]\n",
      "8 8 8 | 9 12 11 9 || [1, 1, 1, 4, 4, 5, 5, 6, 2]\n",
      "8 8 9 | 10 12 11 9 || [1, 1, 1, 4, 4, 5, 5, 6, 2, 3]\n",
      "16 0 0 | 1 8 7 9 || [1]\n",
      "16 0 1 | 2 8 7 9 || [1, 1]\n",
      "16 0 2 | 3 8 7 9 || [1, 1, 1]\n",
      "16 0 3 | 3 9 7 9 || [1, 1, 1, 2]\n",
      "16 0 4 | 3 10 7 9 || [1, 1, 1, 2, 3]\n",
      "16 0 5 | 4 10 7 9 || [1, 1, 1, 2, 3, 4]\n",
      "16 0 6 | 5 10 7 9 || [1, 1, 1, 2, 3, 4, 4]\n",
      "16 0 7 | 6 10 7 9 || [1, 1, 1, 2, 3, 4, 4, 5]\n",
      "16 0 8 | 7 10 7 9 || [1, 1, 1, 2, 3, 4, 4, 5, 5]\n",
      "16 0 9 | 8 10 7 9 || [1, 1, 1, 2, 3, 4, 4, 5, 5, 6]\n",
      "2 0 0 | 1 1 0 1 || [3]\n",
      "2 0 1 | 1 2 0 1 || [3, 3]\n",
      "2 2 2 | 2 4 2 3 || [3, 3, 3]\n",
      "2 2 3 | 3 4 2 3 || [3, 3, 3, 9]\n",
      "2 4 4 | 5 5 4 5 || [3, 3, 3, 9, 2]\n",
      "2 4 5 | 5 6 4 5 || [3, 3, 3, 9, 2, 7]\n",
      "2 6 6 | 7 7 6 7 || [3, 3, 3, 9, 2, 7, 1]\n",
      "2 6 7 | 7 8 6 7 || [3, 3, 3, 9, 2, 7, 1, 4]\n",
      "2 8 8 | 9 9 8 9 || [3, 3, 3, 9, 2, 7, 1, 4, 0]\n",
      "2 8 9 | 9 10 8 9 || [3, 3, 3, 9, 2, 7, 1, 4, 0, 6]\n",
      "4 0 0 | 1 2 1 3 || [3]\n",
      "4 0 1 | 2 2 1 3 || [3, 3]\n",
      "4 0 2 | 2 3 1 3 || [3, 3, 3]\n",
      "4 0 3 | 2 4 1 3 || [3, 3, 3, 9]\n",
      "4 4 4 | 4 7 5 7 || [3, 3, 3, 9, 1]\n",
      "4 4 5 | 5 7 5 7 || [3, 3, 3, 9, 1, 2]\n",
      "4 4 6 | 5 8 5 7 || [3, 3, 3, 9, 1, 2, 4]\n",
      "4 4 7 | 6 8 5 7 || [3, 3, 3, 9, 1, 2, 4, 7]\n",
      "4 8 8 | 9 10 9 9 || [3, 3, 3, 9, 1, 2, 4, 7, 0]\n",
      "4 8 9 | 10 10 9 9 || [3, 3, 3, 9, 1, 2, 4, 7, 0, 6]\n",
      "8 0 0 | 0 5 3 7 || [1]\n",
      "8 0 1 | 0 6 3 7 || [1, 2]\n",
      "8 0 2 | 1 6 3 7 || [1, 2, 3]\n",
      "8 0 3 | 2 6 3 7 || [1, 2, 3, 3]\n",
      "8 0 4 | 3 6 3 7 || [1, 2, 3, 3, 3]\n",
      "8 0 5 | 3 7 3 7 || [1, 2, 3, 3, 3, 4]\n",
      "8 0 6 | 3 8 3 7 || [1, 2, 3, 3, 3, 4, 7]\n",
      "8 0 7 | 4 8 3 7 || [1, 2, 3, 3, 3, 4, 7, 9]\n",
      "8 8 8 | 9 12 11 9 || [1, 2, 3, 3, 3, 4, 7, 9, 0]\n",
      "8 8 9 | 10 12 11 9 || [1, 2, 3, 3, 3, 4, 7, 9, 0, 6]\n",
      "16 0 0 | 0 9 7 9 || [0]\n",
      "16 0 1 | 1 9 7 9 || [0, 1]\n",
      "16 0 2 | 2 9 7 9 || [0, 1, 2]\n",
      "16 0 3 | 3 9 7 9 || [0, 1, 2, 3]\n",
      "16 0 4 | 4 9 7 9 || [0, 1, 2, 3, 3]\n",
      "16 0 5 | 5 9 7 9 || [0, 1, 2, 3, 3, 3]\n",
      "16 0 6 | 6 9 7 9 || [0, 1, 2, 3, 3, 3, 4]\n",
      "16 0 7 | 6 10 7 9 || [0, 1, 2, 3, 3, 3, 4, 6]\n",
      "16 0 8 | 7 10 7 9 || [0, 1, 2, 3, 3, 3, 4, 6, 7]\n",
      "16 0 9 | 8 10 7 9 || [0, 1, 2, 3, 3, 3, 4, 6, 7, 9]\n",
      "2 0 0 | 0 2 0 1 || [3]\n",
      "2 0 1 | 1 2 0 1 || [3, 5]\n",
      "2 2 2 | 2 4 2 3 || [3, 5, 5]\n",
      "2 2 3 | 3 4 2 3 || [3, 5, 5, 9]\n",
      "2 4 4 | 5 5 4 5 || [3, 5, 5, 9, 0]\n",
      "2 4 5 | 5 6 4 5 || [3, 5, 5, 9, 0, 6]\n",
      "2 6 6 | 7 7 6 7 || [3, 5, 5, 9, 0, 6, 8]\n",
      "2 6 7 | 7 8 6 7 || [3, 5, 5, 9, 0, 6, 8, 8]\n",
      "2 8 8 | 8 10 8 9 || [3, 5, 5, 9, 0, 6, 8, 8, 5]\n",
      "2 8 9 | 9 10 8 9 || [3, 5, 5, 9, 0, 6, 8, 8, 5, 8]\n",
      "4 0 0 | 1 2 1 3 || [3]\n",
      "4 0 1 | 2 2 1 3 || [3, 5]\n",
      "4 0 2 | 2 3 1 3 || [3, 5, 5]\n",
      "4 0 3 | 2 4 1 3 || [3, 5, 5, 9]\n",
      "4 4 4 | 5 6 5 7 || [3, 5, 5, 9, 0]\n",
      "4 4 5 | 6 6 5 7 || [3, 5, 5, 9, 0, 6]\n",
      "4 4 6 | 6 7 5 7 || [3, 5, 5, 9, 0, 6, 8]\n",
      "4 4 7 | 6 8 5 7 || [3, 5, 5, 9, 0, 6, 8, 8]\n",
      "4 8 8 | 9 10 9 9 || [3, 5, 5, 9, 0, 6, 8, 8, 5]\n",
      "4 8 9 | 10 10 9 9 || [3, 5, 5, 9, 0, 6, 8, 8, 5, 8]\n",
      "8 0 0 | 0 5 3 7 || [0]\n",
      "8 0 1 | 1 5 3 7 || [0, 3]\n",
      "8 0 2 | 2 5 3 7 || [0, 3, 5]\n",
      "8 0 3 | 3 5 3 7 || [0, 3, 5, 5]\n",
      "8 0 4 | 3 6 3 7 || [0, 3, 5, 5, 6]\n",
      "8 0 5 | 3 7 3 7 || [0, 3, 5, 5, 6, 8]\n",
      "8 0 6 | 3 8 3 7 || [0, 3, 5, 5, 6, 8, 8]\n",
      "8 0 7 | 4 8 3 7 || [0, 3, 5, 5, 6, 8, 8, 9]\n",
      "8 8 8 | 9 12 11 9 || [0, 3, 5, 5, 6, 8, 8, 9, 5]\n",
      "8 8 9 | 10 12 11 9 || [0, 3, 5, 5, 6, 8, 8, 9, 5, 8]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 2 8 7 9 || [0, 3]\n",
      "16 0 2 | 3 8 7 9 || [0, 3, 5]\n",
      "16 0 3 | 4 8 7 9 || [0, 3, 5, 5]\n",
      "16 0 4 | 4 9 7 9 || [0, 3, 5, 5, 5]\n",
      "16 0 5 | 5 9 7 9 || [0, 3, 5, 5, 5, 6]\n",
      "16 0 6 | 6 9 7 9 || [0, 3, 5, 5, 5, 6, 8]\n",
      "16 0 7 | 7 9 7 9 || [0, 3, 5, 5, 5, 6, 8, 8]\n",
      "16 0 8 | 7 10 7 9 || [0, 3, 5, 5, 5, 6, 8, 8, 8]\n",
      "16 0 9 | 8 10 7 9 || [0, 3, 5, 5, 5, 6, 8, 8, 8, 9]\n",
      "2 0 0 | 0 2 0 1 || [0]\n",
      "2 0 1 | 1 2 0 1 || [0, 2]\n",
      "2 2 2 | 2 4 2 3 || [0, 2, 2]\n",
      "2 2 3 | 3 4 2 3 || [0, 2, 2, 5]\n",
      "2 4 4 | 4 6 4 5 || [0, 2, 2, 5, 0]\n",
      "2 4 5 | 5 6 4 5 || [0, 2, 2, 5, 0, 9]\n",
      "2 6 6 | 7 7 6 7 || [0, 2, 2, 5, 0, 9, 4]\n",
      "2 6 7 | 7 8 6 7 || [0, 2, 2, 5, 0, 9, 4, 5]\n",
      "2 8 8 | 8 10 8 9 || [0, 2, 2, 5, 0, 9, 4, 5, 0]\n",
      "2 8 9 | 9 10 8 9 || [0, 2, 2, 5, 0, 9, 4, 5, 0, 3]\n",
      "4 0 0 | 1 2 1 3 || [0]\n",
      "4 0 1 | 2 2 1 3 || [0, 2]\n",
      "4 0 2 | 2 3 1 3 || [0, 2, 2]\n",
      "4 0 3 | 2 4 1 3 || [0, 2, 2, 5]\n",
      "4 4 4 | 5 6 5 7 || [0, 2, 2, 5, 0]\n",
      "4 4 5 | 5 7 5 7 || [0, 2, 2, 5, 0, 4]\n",
      "4 4 6 | 5 8 5 7 || [0, 2, 2, 5, 0, 4, 5]\n",
      "4 4 7 | 6 8 5 7 || [0, 2, 2, 5, 0, 4, 5, 9]\n",
      "4 8 8 | 9 10 9 9 || [0, 2, 2, 5, 0, 4, 5, 9, 0]\n",
      "4 8 9 | 10 10 9 9 || [0, 2, 2, 5, 0, 4, 5, 9, 0, 3]\n",
      "8 0 0 | 1 4 3 7 || [0]\n",
      "8 0 1 | 1 5 3 7 || [0, 0]\n",
      "8 0 2 | 2 5 3 7 || [0, 0, 2]\n",
      "8 0 3 | 3 5 3 7 || [0, 0, 2, 2]\n",
      "8 0 4 | 3 6 3 7 || [0, 0, 2, 2, 4]\n",
      "8 0 5 | 4 6 3 7 || [0, 0, 2, 2, 4, 5]\n",
      "8 0 6 | 4 7 3 7 || [0, 0, 2, 2, 4, 5, 5]\n",
      "8 0 7 | 4 8 3 7 || [0, 0, 2, 2, 4, 5, 5, 9]\n",
      "8 8 8 | 9 12 11 9 || [0, 0, 2, 2, 4, 5, 5, 9, 0]\n",
      "8 8 9 | 10 12 11 9 || [0, 0, 2, 2, 4, 5, 5, 9, 0, 3]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 2 8 7 9 || [0, 0]\n",
      "16 0 2 | 2 9 7 9 || [0, 0, 0]\n",
      "16 0 3 | 3 9 7 9 || [0, 0, 0, 2]\n",
      "16 0 4 | 4 9 7 9 || [0, 0, 0, 2, 2]\n",
      "16 0 5 | 4 10 7 9 || [0, 0, 0, 2, 2, 3]\n",
      "16 0 6 | 5 10 7 9 || [0, 0, 0, 2, 2, 3, 4]\n",
      "16 0 7 | 6 10 7 9 || [0, 0, 0, 2, 2, 3, 4, 5]\n",
      "16 0 8 | 7 10 7 9 || [0, 0, 0, 2, 2, 3, 4, 5, 5]\n",
      "16 0 9 | 8 10 7 9 || [0, 0, 0, 2, 2, 3, 4, 5, 5, 9]\n",
      "2 0 0 | 1 1 0 1 || [0]\n",
      "2 0 1 | 1 2 0 1 || [0, 4]\n",
      "2 2 2 | 2 4 2 3 || [0, 4, 4]\n",
      "2 2 3 | 3 4 2 3 || [0, 4, 4, 9]\n",
      "2 4 4 | 4 6 4 5 || [0, 4, 4, 9, 4]\n",
      "2 4 5 | 5 6 4 5 || [0, 4, 4, 9, 4, 5]\n",
      "2 6 6 | 7 7 6 7 || [0, 4, 4, 9, 4, 5, 0]\n",
      "2 6 7 | 7 8 6 7 || [0, 4, 4, 9, 4, 5, 0, 8]\n",
      "2 8 8 | 8 10 8 9 || [0, 4, 4, 9, 4, 5, 0, 8, 5]\n",
      "2 8 9 | 9 10 8 9 || [0, 4, 4, 9, 4, 5, 0, 8, 5, 7]\n",
      "4 0 0 | 1 2 1 3 || [0]\n",
      "4 0 1 | 2 2 1 3 || [0, 4]\n",
      "4 0 2 | 2 3 1 3 || [0, 4, 4]\n",
      "4 0 3 | 2 4 1 3 || [0, 4, 4, 9]\n",
      "4 4 4 | 4 7 5 7 || [0, 4, 4, 9, 0]\n",
      "4 4 5 | 5 7 5 7 || [0, 4, 4, 9, 0, 4]\n",
      "4 4 6 | 6 7 5 7 || [0, 4, 4, 9, 0, 4, 5]\n",
      "4 4 7 | 6 8 5 7 || [0, 4, 4, 9, 0, 4, 5, 8]\n",
      "4 8 8 | 9 10 9 9 || [0, 4, 4, 9, 0, 4, 5, 8, 5]\n",
      "4 8 9 | 10 10 9 9 || [0, 4, 4, 9, 0, 4, 5, 8, 5, 7]\n",
      "8 0 0 | 1 4 3 7 || [0]\n",
      "8 0 1 | 1 5 3 7 || [0, 0]\n",
      "8 0 2 | 2 5 3 7 || [0, 0, 4]\n",
      "8 0 3 | 3 5 3 7 || [0, 0, 4, 4]\n",
      "8 0 4 | 3 6 3 7 || [0, 0, 4, 4, 4]\n",
      "8 0 5 | 3 7 3 7 || [0, 0, 4, 4, 4, 5]\n",
      "8 0 6 | 3 8 3 7 || [0, 0, 4, 4, 4, 5, 8]\n",
      "8 0 7 | 4 8 3 7 || [0, 0, 4, 4, 4, 5, 8, 9]\n",
      "8 8 8 | 9 12 11 9 || [0, 0, 4, 4, 4, 5, 8, 9, 5]\n",
      "8 8 9 | 10 12 11 9 || [0, 0, 4, 4, 4, 5, 8, 9, 5, 7]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 2 8 7 9 || [0, 0]\n",
      "16 0 2 | 3 8 7 9 || [0, 0, 4]\n",
      "16 0 3 | 4 8 7 9 || [0, 0, 4, 4]\n",
      "16 0 4 | 5 8 7 9 || [0, 0, 4, 4, 4]\n",
      "16 0 5 | 6 8 7 9 || [0, 0, 4, 4, 4, 5]\n",
      "16 0 6 | 6 9 7 9 || [0, 0, 4, 4, 4, 5, 5]\n",
      "16 0 7 | 6 10 7 9 || [0, 0, 4, 4, 4, 5, 5, 7]\n",
      "16 0 8 | 7 10 7 9 || [0, 0, 4, 4, 4, 5, 5, 7, 8]\n",
      "16 0 9 | 8 10 7 9 || [0, 0, 4, 4, 4, 5, 5, 7, 8, 9]\n",
      "2 0 0 | 0 2 0 1 || [3]\n",
      "2 0 1 | 1 2 0 1 || [3, 7]\n",
      "2 2 2 | 2 4 2 3 || [3, 7, 4]\n",
      "2 2 3 | 3 4 2 3 || [3, 7, 4, 8]\n",
      "2 4 4 | 5 5 4 5 || [3, 7, 4, 8, 3]\n",
      "2 4 5 | 5 6 4 5 || [3, 7, 4, 8, 3, 5]\n",
      "2 6 6 | 6 8 6 7 || [3, 7, 4, 8, 3, 5, 1]\n",
      "2 6 7 | 7 8 6 7 || [3, 7, 4, 8, 3, 5, 1, 2]\n",
      "2 8 8 | 8 10 8 9 || [3, 7, 4, 8, 3, 5, 1, 2, 0]\n",
      "2 8 9 | 9 10 8 9 || [3, 7, 4, 8, 3, 5, 1, 2, 0, 7]\n",
      "4 0 0 | 1 2 1 3 || [3]\n",
      "4 0 1 | 1 3 1 3 || [3, 4]\n",
      "4 0 2 | 2 3 1 3 || [3, 4, 7]\n",
      "4 0 3 | 2 4 1 3 || [3, 4, 7, 8]\n",
      "4 4 4 | 4 7 5 7 || [3, 4, 7, 8, 1]\n",
      "4 4 5 | 4 8 5 7 || [3, 4, 7, 8, 1, 2]\n",
      "4 4 6 | 5 8 5 7 || [3, 4, 7, 8, 1, 2, 3]\n",
      "4 4 7 | 6 8 5 7 || [3, 4, 7, 8, 1, 2, 3, 5]\n",
      "4 8 8 | 9 10 9 9 || [3, 4, 7, 8, 1, 2, 3, 5, 0]\n",
      "4 8 9 | 10 10 9 9 || [3, 4, 7, 8, 1, 2, 3, 5, 0, 7]\n",
      "8 0 0 | 0 5 3 7 || [1]\n",
      "8 0 1 | 0 6 3 7 || [1, 2]\n",
      "8 0 2 | 1 6 3 7 || [1, 2, 3]\n",
      "8 0 3 | 1 7 3 7 || [1, 2, 3, 3]\n",
      "8 0 4 | 2 7 3 7 || [1, 2, 3, 3, 4]\n",
      "8 0 5 | 2 8 3 7 || [1, 2, 3, 3, 4, 5]\n",
      "8 0 6 | 3 8 3 7 || [1, 2, 3, 3, 4, 5, 7]\n",
      "8 0 7 | 4 8 3 7 || [1, 2, 3, 3, 4, 5, 7, 8]\n",
      "8 8 8 | 9 12 11 9 || [1, 2, 3, 3, 4, 5, 7, 8, 0]\n",
      "8 8 9 | 10 12 11 9 || [1, 2, 3, 3, 4, 5, 7, 8, 0, 7]\n",
      "16 0 0 | 0 9 7 9 || [0]\n",
      "16 0 1 | 1 9 7 9 || [0, 1]\n",
      "16 0 2 | 2 9 7 9 || [0, 1, 2]\n",
      "16 0 3 | 3 9 7 9 || [0, 1, 2, 3]\n",
      "16 0 4 | 4 9 7 9 || [0, 1, 2, 3, 3]\n",
      "16 0 5 | 5 9 7 9 || [0, 1, 2, 3, 3, 4]\n",
      "16 0 6 | 6 9 7 9 || [0, 1, 2, 3, 3, 4, 5]\n",
      "16 0 7 | 7 9 7 9 || [0, 1, 2, 3, 3, 4, 5, 7]\n",
      "16 0 8 | 7 10 7 9 || [0, 1, 2, 3, 3, 4, 5, 7, 7]\n",
      "16 0 9 | 8 10 7 9 || [0, 1, 2, 3, 3, 4, 5, 7, 7, 8]\n",
      "2 0 0 | 0 2 0 1 || [2]\n",
      "2 0 1 | 1 2 0 1 || [2, 5]\n",
      "2 2 2 | 2 4 2 3 || [2, 5, 5]\n",
      "2 2 3 | 3 4 2 3 || [2, 5, 5, 7]\n",
      "2 4 4 | 4 6 4 5 || [2, 5, 5, 7, 3]\n",
      "2 4 5 | 5 6 4 5 || [2, 5, 5, 7, 3, 5]\n",
      "2 6 6 | 6 8 6 7 || [2, 5, 5, 7, 3, 5, 3]\n",
      "2 6 7 | 7 8 6 7 || [2, 5, 5, 7, 3, 5, 3, 5]\n",
      "2 8 8 | 9 9 8 9 || [2, 5, 5, 7, 3, 5, 3, 5, 5]\n",
      "2 8 9 | 9 10 8 9 || [2, 5, 5, 7, 3, 5, 3, 5, 5, 8]\n",
      "4 0 0 | 1 2 1 3 || [2]\n",
      "4 0 1 | 2 2 1 3 || [2, 5]\n",
      "4 0 2 | 2 3 1 3 || [2, 5, 5]\n",
      "4 0 3 | 2 4 1 3 || [2, 5, 5, 7]\n",
      "4 4 4 | 5 6 5 7 || [2, 5, 5, 7, 3]\n",
      "4 4 5 | 5 7 5 7 || [2, 5, 5, 7, 3, 3]\n",
      "4 4 6 | 6 7 5 7 || [2, 5, 5, 7, 3, 3, 5]\n",
      "4 4 7 | 6 8 5 7 || [2, 5, 5, 7, 3, 3, 5, 5]\n",
      "4 8 8 | 9 10 9 9 || [2, 5, 5, 7, 3, 3, 5, 5, 5]\n",
      "4 8 9 | 10 10 9 9 || [2, 5, 5, 7, 3, 3, 5, 5, 5, 8]\n",
      "8 0 0 | 1 4 3 7 || [2]\n",
      "8 0 1 | 1 5 3 7 || [2, 3]\n",
      "8 0 2 | 1 6 3 7 || [2, 3, 3]\n",
      "8 0 3 | 2 6 3 7 || [2, 3, 3, 5]\n",
      "8 0 4 | 3 6 3 7 || [2, 3, 3, 5, 5]\n",
      "8 0 5 | 3 7 3 7 || [2, 3, 3, 5, 5, 5]\n",
      "8 0 6 | 3 8 3 7 || [2, 3, 3, 5, 5, 5, 5]\n",
      "8 0 7 | 4 8 3 7 || [2, 3, 3, 5, 5, 5, 5, 7]\n",
      "8 8 8 | 9 12 11 9 || [2, 3, 3, 5, 5, 5, 5, 7, 5]\n",
      "8 8 9 | 10 12 11 9 || [2, 3, 3, 5, 5, 5, 5, 7, 5, 8]\n",
      "16 0 0 | 1 8 7 9 || [2]\n",
      "16 0 1 | 2 8 7 9 || [2, 3]\n",
      "16 0 2 | 3 8 7 9 || [2, 3, 3]\n",
      "16 0 3 | 4 8 7 9 || [2, 3, 3, 5]\n",
      "16 0 4 | 5 8 7 9 || [2, 3, 3, 5, 5]\n",
      "16 0 5 | 6 8 7 9 || [2, 3, 3, 5, 5, 5]\n",
      "16 0 6 | 7 8 7 9 || [2, 3, 3, 5, 5, 5, 5]\n",
      "16 0 7 | 7 9 7 9 || [2, 3, 3, 5, 5, 5, 5, 5]\n",
      "16 0 8 | 8 9 7 9 || [2, 3, 3, 5, 5, 5, 5, 5, 7]\n",
      "16 0 9 | 8 10 7 9 || [2, 3, 3, 5, 5, 5, 5, 5, 7, 8]\n",
      "2 0 0 | 1 1 0 1 || [5]\n",
      "2 0 1 | 1 2 0 1 || [5, 6]\n",
      "2 2 2 | 3 3 2 3 || [5, 6, 1]\n",
      "2 2 3 | 3 4 2 3 || [5, 6, 1, 5]\n",
      "2 4 4 | 4 6 4 5 || [5, 6, 1, 5, 2]\n",
      "2 4 5 | 5 6 4 5 || [5, 6, 1, 5, 2, 5]\n",
      "2 6 6 | 7 7 6 7 || [5, 6, 1, 5, 2, 5, 2]\n",
      "2 6 7 | 7 8 6 7 || [5, 6, 1, 5, 2, 5, 2, 4]\n",
      "2 8 8 | 8 10 8 9 || [5, 6, 1, 5, 2, 5, 2, 4, 3]\n",
      "2 8 9 | 9 10 8 9 || [5, 6, 1, 5, 2, 5, 2, 4, 3, 7]\n",
      "4 0 0 | 0 3 1 3 || [1]\n",
      "4 0 1 | 1 3 1 3 || [1, 5]\n",
      "4 0 2 | 1 4 1 3 || [1, 5, 5]\n",
      "4 0 3 | 2 4 1 3 || [1, 5, 5, 6]\n",
      "4 4 4 | 5 6 5 7 || [1, 5, 5, 6, 2]\n",
      "4 4 5 | 5 7 5 7 || [1, 5, 5, 6, 2, 2]\n",
      "4 4 6 | 5 8 5 7 || [1, 5, 5, 6, 2, 2, 4]\n",
      "4 4 7 | 6 8 5 7 || [1, 5, 5, 6, 2, 2, 4, 5]\n",
      "4 8 8 | 9 10 9 9 || [1, 5, 5, 6, 2, 2, 4, 5, 3]\n",
      "4 8 9 | 10 10 9 9 || [1, 5, 5, 6, 2, 2, 4, 5, 3, 7]\n",
      "8 0 0 | 1 4 3 7 || [1]\n",
      "8 0 1 | 1 5 3 7 || [1, 2]\n",
      "8 0 2 | 1 6 3 7 || [1, 2, 2]\n",
      "8 0 3 | 1 7 3 7 || [1, 2, 2, 4]\n",
      "8 0 4 | 2 7 3 7 || [1, 2, 2, 4, 5]\n",
      "8 0 5 | 3 7 3 7 || [1, 2, 2, 4, 5, 5]\n",
      "8 0 6 | 3 8 3 7 || [1, 2, 2, 4, 5, 5, 5]\n",
      "8 0 7 | 4 8 3 7 || [1, 2, 2, 4, 5, 5, 5, 6]\n",
      "8 8 8 | 9 12 11 9 || [1, 2, 2, 4, 5, 5, 5, 6, 3]\n",
      "8 8 9 | 10 12 11 9 || [1, 2, 2, 4, 5, 5, 5, 6, 3, 7]\n",
      "16 0 0 | 1 8 7 9 || [1]\n",
      "16 0 1 | 2 8 7 9 || [1, 2]\n",
      "16 0 2 | 3 8 7 9 || [1, 2, 2]\n",
      "16 0 3 | 3 9 7 9 || [1, 2, 2, 3]\n",
      "16 0 4 | 4 9 7 9 || [1, 2, 2, 3, 4]\n",
      "16 0 5 | 5 9 7 9 || [1, 2, 2, 3, 4, 5]\n",
      "16 0 6 | 6 9 7 9 || [1, 2, 2, 3, 4, 5, 5]\n",
      "16 0 7 | 7 9 7 9 || [1, 2, 2, 3, 4, 5, 5, 5]\n",
      "16 0 8 | 8 9 7 9 || [1, 2, 2, 3, 4, 5, 5, 5, 6]\n",
      "16 0 9 | 8 10 7 9 || [1, 2, 2, 3, 4, 5, 5, 5, 6, 7]\n",
      "2 0 0 | 1 1 0 1 || [0]\n",
      "2 0 1 | 1 2 0 1 || [0, 4]\n",
      "2 2 2 | 3 3 2 3 || [0, 4, 4]\n",
      "2 2 3 | 3 4 2 3 || [0, 4, 4, 5]\n",
      "2 4 4 | 4 6 4 5 || [0, 4, 4, 5, 0]\n",
      "2 4 5 | 5 6 4 5 || [0, 4, 4, 5, 0, 9]\n",
      "2 6 6 | 7 7 6 7 || [0, 4, 4, 5, 0, 9, 7]\n",
      "2 6 7 | 7 8 6 7 || [0, 4, 4, 5, 0, 9, 7, 8]\n",
      "2 8 8 | 9 9 8 9 || [0, 4, 4, 5, 0, 9, 7, 8, 8]\n",
      "2 8 9 | 9 10 8 9 || [0, 4, 4, 5, 0, 9, 7, 8, 8, 8]\n",
      "4 0 0 | 1 2 1 3 || [0]\n",
      "4 0 1 | 2 2 1 3 || [0, 4]\n",
      "4 0 2 | 2 3 1 3 || [0, 4, 4]\n",
      "4 0 3 | 2 4 1 3 || [0, 4, 4, 5]\n",
      "4 4 4 | 5 6 5 7 || [0, 4, 4, 5, 0]\n",
      "4 4 5 | 5 7 5 7 || [0, 4, 4, 5, 0, 7]\n",
      "4 4 6 | 5 8 5 7 || [0, 4, 4, 5, 0, 7, 8]\n",
      "4 4 7 | 6 8 5 7 || [0, 4, 4, 5, 0, 7, 8, 9]\n",
      "4 8 8 | 9 10 9 9 || [0, 4, 4, 5, 0, 7, 8, 9, 8]\n",
      "4 8 9 | 10 10 9 9 || [0, 4, 4, 5, 0, 7, 8, 9, 8, 8]\n",
      "8 0 0 | 1 4 3 7 || [0]\n",
      "8 0 1 | 1 5 3 7 || [0, 0]\n",
      "8 0 2 | 2 5 3 7 || [0, 0, 4]\n",
      "8 0 3 | 3 5 3 7 || [0, 0, 4, 4]\n",
      "8 0 4 | 4 5 3 7 || [0, 0, 4, 4, 5]\n",
      "8 0 5 | 4 6 3 7 || [0, 0, 4, 4, 5, 7]\n",
      "8 0 6 | 4 7 3 7 || [0, 0, 4, 4, 5, 7, 8]\n",
      "8 0 7 | 4 8 3 7 || [0, 0, 4, 4, 5, 7, 8, 9]\n",
      "8 8 8 | 9 12 11 9 || [0, 0, 4, 4, 5, 7, 8, 9, 8]\n",
      "8 8 9 | 10 12 11 9 || [0, 0, 4, 4, 5, 7, 8, 9, 8, 8]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 2 8 7 9 || [0, 0]\n",
      "16 0 2 | 3 8 7 9 || [0, 0, 4]\n",
      "16 0 3 | 4 8 7 9 || [0, 0, 4, 4]\n",
      "16 0 4 | 5 8 7 9 || [0, 0, 4, 4, 5]\n",
      "16 0 5 | 6 8 7 9 || [0, 0, 4, 4, 5, 7]\n",
      "16 0 6 | 7 8 7 9 || [0, 0, 4, 4, 5, 7, 8]\n",
      "16 0 7 | 7 9 7 9 || [0, 0, 4, 4, 5, 7, 8, 8]\n",
      "16 0 8 | 7 10 7 9 || [0, 0, 4, 4, 5, 7, 8, 8, 8]\n",
      "16 0 9 | 8 10 7 9 || [0, 0, 4, 4, 5, 7, 8, 8, 8, 9]\n",
      "2 0 0 | 1 1 0 1 || [0]\n",
      "2 0 1 | 1 2 0 1 || [0, 2]\n",
      "2 2 2 | 3 3 2 3 || [0, 2, 2]\n",
      "2 2 3 | 3 4 2 3 || [0, 2, 2, 3]\n",
      "2 4 4 | 5 5 4 5 || [0, 2, 2, 3, 4]\n",
      "2 4 5 | 5 6 4 5 || [0, 2, 2, 3, 4, 5]\n",
      "2 6 6 | 7 7 6 7 || [0, 2, 2, 3, 4, 5, 2]\n",
      "2 6 7 | 7 8 6 7 || [0, 2, 2, 3, 4, 5, 2, 9]\n",
      "2 8 8 | 8 10 8 9 || [0, 2, 2, 3, 4, 5, 2, 9, 4]\n",
      "2 8 9 | 9 10 8 9 || [0, 2, 2, 3, 4, 5, 2, 9, 4, 9]\n",
      "4 0 0 | 1 2 1 3 || [0]\n",
      "4 0 1 | 2 2 1 3 || [0, 2]\n",
      "4 0 2 | 2 3 1 3 || [0, 2, 2]\n",
      "4 0 3 | 2 4 1 3 || [0, 2, 2, 3]\n",
      "4 4 4 | 4 7 5 7 || [0, 2, 2, 3, 2]\n",
      "4 4 5 | 5 7 5 7 || [0, 2, 2, 3, 2, 4]\n",
      "4 4 6 | 6 7 5 7 || [0, 2, 2, 3, 2, 4, 5]\n",
      "4 4 7 | 6 8 5 7 || [0, 2, 2, 3, 2, 4, 5, 9]\n",
      "4 8 8 | 9 10 9 9 || [0, 2, 2, 3, 2, 4, 5, 9, 4]\n",
      "4 8 9 | 10 10 9 9 || [0, 2, 2, 3, 2, 4, 5, 9, 4, 9]\n",
      "8 0 0 | 1 4 3 7 || [0]\n",
      "8 0 1 | 2 4 3 7 || [0, 2]\n",
      "8 0 2 | 3 4 3 7 || [0, 2, 2]\n",
      "8 0 3 | 3 5 3 7 || [0, 2, 2, 2]\n",
      "8 0 4 | 4 5 3 7 || [0, 2, 2, 2, 3]\n",
      "8 0 5 | 4 6 3 7 || [0, 2, 2, 2, 3, 4]\n",
      "8 0 6 | 4 7 3 7 || [0, 2, 2, 2, 3, 4, 5]\n",
      "8 0 7 | 4 8 3 7 || [0, 2, 2, 2, 3, 4, 5, 9]\n",
      "8 8 8 | 9 12 11 9 || [0, 2, 2, 2, 3, 4, 5, 9, 4]\n",
      "8 8 9 | 10 12 11 9 || [0, 2, 2, 2, 3, 4, 5, 9, 4, 9]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 2 8 7 9 || [0, 2]\n",
      "16 0 2 | 3 8 7 9 || [0, 2, 2]\n",
      "16 0 3 | 4 8 7 9 || [0, 2, 2, 2]\n",
      "16 0 4 | 5 8 7 9 || [0, 2, 2, 2, 3]\n",
      "16 0 5 | 6 8 7 9 || [0, 2, 2, 2, 3, 4]\n",
      "16 0 6 | 6 9 7 9 || [0, 2, 2, 2, 3, 4, 4]\n",
      "16 0 7 | 7 9 7 9 || [0, 2, 2, 2, 3, 4, 4, 5]\n",
      "16 0 8 | 8 9 7 9 || [0, 2, 2, 2, 3, 4, 4, 5, 9]\n",
      "16 0 9 | 8 10 7 9 || [0, 2, 2, 2, 3, 4, 4, 5, 9, 9]\n",
      "2 0 0 | 0 2 0 1 || [1]\n",
      "2 0 1 | 1 2 0 1 || [1, 5]\n",
      "2 2 2 | 3 3 2 3 || [1, 5, 7]\n",
      "2 2 3 | 3 4 2 3 || [1, 5, 7, 7]\n",
      "2 4 4 | 5 5 4 5 || [1, 5, 7, 7, 0]\n",
      "2 4 5 | 5 6 4 5 || [1, 5, 7, 7, 0, 6]\n",
      "2 6 6 | 7 7 6 7 || [1, 5, 7, 7, 0, 6, 0]\n",
      "2 6 7 | 7 8 6 7 || [1, 5, 7, 7, 0, 6, 0, 8]\n",
      "2 8 8 | 8 10 8 9 || [1, 5, 7, 7, 0, 6, 0, 8, 0]\n",
      "2 8 9 | 9 10 8 9 || [1, 5, 7, 7, 0, 6, 0, 8, 0, 2]\n",
      "4 0 0 | 1 2 1 3 || [1]\n",
      "4 0 1 | 2 2 1 3 || [1, 5]\n",
      "4 0 2 | 2 3 1 3 || [1, 5, 7]\n",
      "4 0 3 | 2 4 1 3 || [1, 5, 7, 7]\n",
      "4 4 4 | 5 6 5 7 || [1, 5, 7, 7, 0]\n",
      "4 4 5 | 5 7 5 7 || [1, 5, 7, 7, 0, 0]\n",
      "4 4 6 | 6 7 5 7 || [1, 5, 7, 7, 0, 0, 6]\n",
      "4 4 7 | 6 8 5 7 || [1, 5, 7, 7, 0, 0, 6, 8]\n",
      "4 8 8 | 9 10 9 9 || [1, 5, 7, 7, 0, 0, 6, 8, 0]\n",
      "4 8 9 | 10 10 9 9 || [1, 5, 7, 7, 0, 0, 6, 8, 0, 2]\n",
      "8 0 0 | 0 5 3 7 || [0]\n",
      "8 0 1 | 0 6 3 7 || [0, 0]\n",
      "8 0 2 | 1 6 3 7 || [0, 0, 1]\n",
      "8 0 3 | 2 6 3 7 || [0, 0, 1, 5]\n",
      "8 0 4 | 2 7 3 7 || [0, 0, 1, 5, 6]\n",
      "8 0 5 | 3 7 3 7 || [0, 0, 1, 5, 6, 7]\n",
      "8 0 6 | 4 7 3 7 || [0, 0, 1, 5, 6, 7, 7]\n",
      "8 0 7 | 4 8 3 7 || [0, 0, 1, 5, 6, 7, 7, 8]\n",
      "8 8 8 | 9 12 11 9 || [0, 0, 1, 5, 6, 7, 7, 8, 0]\n",
      "8 8 9 | 10 12 11 9 || [0, 0, 1, 5, 6, 7, 7, 8, 0, 2]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 2 8 7 9 || [0, 0]\n",
      "16 0 2 | 2 9 7 9 || [0, 0, 0]\n",
      "16 0 3 | 3 9 7 9 || [0, 0, 0, 1]\n",
      "16 0 4 | 3 10 7 9 || [0, 0, 0, 1, 2]\n",
      "16 0 5 | 4 10 7 9 || [0, 0, 0, 1, 2, 5]\n",
      "16 0 6 | 5 10 7 9 || [0, 0, 0, 1, 2, 5, 6]\n",
      "16 0 7 | 6 10 7 9 || [0, 0, 0, 1, 2, 5, 6, 7]\n",
      "16 0 8 | 7 10 7 9 || [0, 0, 0, 1, 2, 5, 6, 7, 7]\n",
      "16 0 9 | 8 10 7 9 || [0, 0, 0, 1, 2, 5, 6, 7, 7, 8]\n",
      "2 0 0 | 1 1 0 1 || [2]\n",
      "2 0 1 | 1 2 0 1 || [2, 3]\n",
      "2 2 2 | 3 3 2 3 || [2, 3, 2]\n",
      "2 2 3 | 3 4 2 3 || [2, 3, 2, 6]\n",
      "2 4 4 | 5 5 4 5 || [2, 3, 2, 6, 8]\n",
      "2 4 5 | 5 6 4 5 || [2, 3, 2, 6, 8, 8]\n",
      "2 6 6 | 7 7 6 7 || [2, 3, 2, 6, 8, 8, 4]\n",
      "2 6 7 | 7 8 6 7 || [2, 3, 2, 6, 8, 8, 4, 8]\n",
      "2 8 8 | 8 10 8 9 || [2, 3, 2, 6, 8, 8, 4, 8, 1]\n",
      "2 8 9 | 9 10 8 9 || [2, 3, 2, 6, 8, 8, 4, 8, 1, 3]\n",
      "4 0 0 | 1 2 1 3 || [2]\n",
      "4 0 1 | 1 3 1 3 || [2, 2]\n",
      "4 0 2 | 2 3 1 3 || [2, 2, 3]\n",
      "4 0 3 | 2 4 1 3 || [2, 2, 3, 6]\n",
      "4 4 4 | 4 7 5 7 || [2, 2, 3, 6, 4]\n",
      "4 4 5 | 5 7 5 7 || [2, 2, 3, 6, 4, 8]\n",
      "4 4 6 | 6 7 5 7 || [2, 2, 3, 6, 4, 8, 8]\n",
      "4 4 7 | 6 8 5 7 || [2, 2, 3, 6, 4, 8, 8, 8]\n",
      "4 8 8 | 9 10 9 9 || [2, 2, 3, 6, 4, 8, 8, 8, 1]\n",
      "4 8 9 | 10 10 9 9 || [2, 2, 3, 6, 4, 8, 8, 8, 1, 3]\n",
      "8 0 0 | 1 4 3 7 || [2]\n",
      "8 0 1 | 2 4 3 7 || [2, 2]\n",
      "8 0 2 | 3 4 3 7 || [2, 2, 3]\n",
      "8 0 3 | 3 5 3 7 || [2, 2, 3, 4]\n",
      "8 0 4 | 4 5 3 7 || [2, 2, 3, 4, 6]\n",
      "8 0 5 | 4 6 3 7 || [2, 2, 3, 4, 6, 8]\n",
      "8 0 6 | 4 7 3 7 || [2, 2, 3, 4, 6, 8, 8]\n",
      "8 0 7 | 4 8 3 7 || [2, 2, 3, 4, 6, 8, 8, 8]\n",
      "8 8 8 | 9 12 11 9 || [2, 2, 3, 4, 6, 8, 8, 8, 1]\n",
      "8 8 9 | 10 12 11 9 || [2, 2, 3, 4, 6, 8, 8, 8, 1, 3]\n",
      "16 0 0 | 0 9 7 9 || [1]\n",
      "16 0 1 | 1 9 7 9 || [1, 2]\n",
      "16 0 2 | 2 9 7 9 || [1, 2, 2]\n",
      "16 0 3 | 3 9 7 9 || [1, 2, 2, 3]\n",
      "16 0 4 | 3 10 7 9 || [1, 2, 2, 3, 3]\n",
      "16 0 5 | 4 10 7 9 || [1, 2, 2, 3, 3, 4]\n",
      "16 0 6 | 5 10 7 9 || [1, 2, 2, 3, 3, 4, 6]\n",
      "16 0 7 | 6 10 7 9 || [1, 2, 2, 3, 3, 4, 6, 8]\n",
      "16 0 8 | 7 10 7 9 || [1, 2, 2, 3, 3, 4, 6, 8, 8]\n",
      "16 0 9 | 8 10 7 9 || [1, 2, 2, 3, 3, 4, 6, 8, 8, 8]\n",
      "2 0 0 | 1 1 0 1 || [2]\n",
      "2 0 1 | 1 2 0 1 || [2, 3]\n",
      "2 2 2 | 2 4 2 3 || [2, 3, 2]\n",
      "2 2 3 | 3 4 2 3 || [2, 3, 2, 6]\n",
      "2 4 4 | 4 6 4 5 || [2, 3, 2, 6, 5]\n",
      "2 4 5 | 5 6 4 5 || [2, 3, 2, 6, 5, 6]\n",
      "2 6 6 | 6 8 6 7 || [2, 3, 2, 6, 5, 6, 2]\n",
      "2 6 7 | 7 8 6 7 || [2, 3, 2, 6, 5, 6, 2, 6]\n",
      "2 8 8 | 8 10 8 9 || [2, 3, 2, 6, 5, 6, 2, 6, 0]\n",
      "2 8 9 | 9 10 8 9 || [2, 3, 2, 6, 5, 6, 2, 6, 0, 6]\n",
      "4 0 0 | 1 2 1 3 || [2]\n",
      "4 0 1 | 1 3 1 3 || [2, 2]\n",
      "4 0 2 | 2 3 1 3 || [2, 2, 3]\n",
      "4 0 3 | 2 4 1 3 || [2, 2, 3, 6]\n",
      "4 4 4 | 4 7 5 7 || [2, 2, 3, 6, 2]\n",
      "4 4 5 | 5 7 5 7 || [2, 2, 3, 6, 2, 5]\n",
      "4 4 6 | 6 7 5 7 || [2, 2, 3, 6, 2, 5, 6]\n",
      "4 4 7 | 6 8 5 7 || [2, 2, 3, 6, 2, 5, 6, 6]\n",
      "4 8 8 | 9 10 9 9 || [2, 2, 3, 6, 2, 5, 6, 6, 0]\n",
      "4 8 9 | 10 10 9 9 || [2, 2, 3, 6, 2, 5, 6, 6, 0, 6]\n",
      "8 0 0 | 1 4 3 7 || [2]\n",
      "8 0 1 | 2 4 3 7 || [2, 2]\n",
      "8 0 2 | 2 5 3 7 || [2, 2, 2]\n",
      "8 0 3 | 3 5 3 7 || [2, 2, 2, 3]\n",
      "8 0 4 | 3 6 3 7 || [2, 2, 2, 3, 5]\n",
      "8 0 5 | 4 6 3 7 || [2, 2, 2, 3, 5, 6]\n",
      "8 0 6 | 4 7 3 7 || [2, 2, 2, 3, 5, 6, 6]\n",
      "8 0 7 | 4 8 3 7 || [2, 2, 2, 3, 5, 6, 6, 6]\n",
      "8 8 8 | 9 12 11 9 || [2, 2, 2, 3, 5, 6, 6, 6, 0]\n",
      "8 8 9 | 10 12 11 9 || [2, 2, 2, 3, 5, 6, 6, 6, 0, 6]\n",
      "16 0 0 | 0 9 7 9 || [0]\n",
      "16 0 1 | 1 9 7 9 || [0, 2]\n",
      "16 0 2 | 2 9 7 9 || [0, 2, 2]\n",
      "16 0 3 | 3 9 7 9 || [0, 2, 2, 2]\n",
      "16 0 4 | 4 9 7 9 || [0, 2, 2, 2, 3]\n",
      "16 0 5 | 5 9 7 9 || [0, 2, 2, 2, 3, 5]\n",
      "16 0 6 | 6 9 7 9 || [0, 2, 2, 2, 3, 5, 6]\n",
      "16 0 7 | 7 9 7 9 || [0, 2, 2, 2, 3, 5, 6, 6]\n",
      "16 0 8 | 8 9 7 9 || [0, 2, 2, 2, 3, 5, 6, 6, 6]\n",
      "16 0 9 | 8 10 7 9 || [0, 2, 2, 2, 3, 5, 6, 6, 6, 6]\n",
      "2 0 0 | 0 2 0 1 || [2]\n",
      "2 0 1 | 1 2 0 1 || [2, 6]\n",
      "2 2 2 | 2 4 2 3 || [2, 6, 6]\n",
      "2 2 3 | 3 4 2 3 || [2, 6, 6, 7]\n",
      "2 4 4 | 5 5 4 5 || [2, 6, 6, 7, 7]\n",
      "2 4 5 | 5 6 4 5 || [2, 6, 6, 7, 7, 9]\n",
      "2 6 6 | 6 8 6 7 || [2, 6, 6, 7, 7, 9, 6]\n",
      "2 6 7 | 7 8 6 7 || [2, 6, 6, 7, 7, 9, 6, 9]\n",
      "2 8 8 | 8 10 8 9 || [2, 6, 6, 7, 7, 9, 6, 9, 1]\n",
      "2 8 9 | 9 10 8 9 || [2, 6, 6, 7, 7, 9, 6, 9, 1, 8]\n",
      "4 0 0 | 1 2 1 3 || [2]\n",
      "4 0 1 | 2 2 1 3 || [2, 6]\n",
      "4 0 2 | 2 3 1 3 || [2, 6, 6]\n",
      "4 0 3 | 2 4 1 3 || [2, 6, 6, 7]\n",
      "4 4 4 | 4 7 5 7 || [2, 6, 6, 7, 6]\n",
      "4 4 5 | 5 7 5 7 || [2, 6, 6, 7, 6, 7]\n",
      "4 4 6 | 6 7 5 7 || [2, 6, 6, 7, 6, 7, 9]\n",
      "4 4 7 | 6 8 5 7 || [2, 6, 6, 7, 6, 7, 9, 9]\n",
      "4 8 8 | 9 10 9 9 || [2, 6, 6, 7, 6, 7, 9, 9, 1]\n",
      "4 8 9 | 10 10 9 9 || [2, 6, 6, 7, 6, 7, 9, 9, 1, 8]\n",
      "8 0 0 | 1 4 3 7 || [2]\n",
      "8 0 1 | 2 4 3 7 || [2, 6]\n",
      "8 0 2 | 3 4 3 7 || [2, 6, 6]\n",
      "8 0 3 | 3 5 3 7 || [2, 6, 6, 6]\n",
      "8 0 4 | 4 5 3 7 || [2, 6, 6, 6, 7]\n",
      "8 0 5 | 4 6 3 7 || [2, 6, 6, 6, 7, 7]\n",
      "8 0 6 | 4 7 3 7 || [2, 6, 6, 6, 7, 7, 9]\n",
      "8 0 7 | 4 8 3 7 || [2, 6, 6, 6, 7, 7, 9, 9]\n",
      "8 8 8 | 9 12 11 9 || [2, 6, 6, 6, 7, 7, 9, 9, 1]\n",
      "8 8 9 | 10 12 11 9 || [2, 6, 6, 6, 7, 7, 9, 9, 1, 8]\n",
      "16 0 0 | 0 9 7 9 || [1]\n",
      "16 0 1 | 1 9 7 9 || [1, 2]\n",
      "16 0 2 | 2 9 7 9 || [1, 2, 6]\n",
      "16 0 3 | 3 9 7 9 || [1, 2, 6, 6]\n",
      "16 0 4 | 4 9 7 9 || [1, 2, 6, 6, 6]\n",
      "16 0 5 | 5 9 7 9 || [1, 2, 6, 6, 6, 7]\n",
      "16 0 6 | 6 9 7 9 || [1, 2, 6, 6, 6, 7, 7]\n",
      "16 0 7 | 6 10 7 9 || [1, 2, 6, 6, 6, 7, 7, 8]\n",
      "16 0 8 | 7 10 7 9 || [1, 2, 6, 6, 6, 7, 7, 8, 9]\n",
      "16 0 9 | 8 10 7 9 || [1, 2, 6, 6, 6, 7, 7, 8, 9, 9]\n",
      "2 0 0 | 1 1 0 1 || [4]\n",
      "2 0 1 | 1 2 0 1 || [4, 9]\n",
      "2 2 2 | 3 3 2 3 || [4, 9, 3]\n",
      "2 2 3 | 3 4 2 3 || [4, 9, 3, 4]\n",
      "2 4 4 | 5 5 4 5 || [4, 9, 3, 4, 5]\n",
      "2 4 5 | 5 6 4 5 || [4, 9, 3, 4, 5, 7]\n",
      "2 6 6 | 6 8 6 7 || [4, 9, 3, 4, 5, 7, 1]\n",
      "2 6 7 | 7 8 6 7 || [4, 9, 3, 4, 5, 7, 1, 7]\n",
      "2 8 8 | 8 10 8 9 || [4, 9, 3, 4, 5, 7, 1, 7, 3]\n",
      "2 8 9 | 9 10 8 9 || [4, 9, 3, 4, 5, 7, 1, 7, 3, 8]\n",
      "4 0 0 | 0 3 1 3 || [3]\n",
      "4 0 1 | 1 3 1 3 || [3, 4]\n",
      "4 0 2 | 1 4 1 3 || [3, 4, 4]\n",
      "4 0 3 | 2 4 1 3 || [3, 4, 4, 9]\n",
      "4 4 4 | 4 7 5 7 || [3, 4, 4, 9, 1]\n",
      "4 4 5 | 5 7 5 7 || [3, 4, 4, 9, 1, 5]\n",
      "4 4 6 | 6 7 5 7 || [3, 4, 4, 9, 1, 5, 7]\n",
      "4 4 7 | 6 8 5 7 || [3, 4, 4, 9, 1, 5, 7, 7]\n",
      "4 8 8 | 9 10 9 9 || [3, 4, 4, 9, 1, 5, 7, 7, 3]\n",
      "4 8 9 | 10 10 9 9 || [3, 4, 4, 9, 1, 5, 7, 7, 3, 8]\n",
      "8 0 0 | 0 5 3 7 || [1]\n",
      "8 0 1 | 1 5 3 7 || [1, 3]\n",
      "8 0 2 | 2 5 3 7 || [1, 3, 4]\n",
      "8 0 3 | 3 5 3 7 || [1, 3, 4, 4]\n",
      "8 0 4 | 3 6 3 7 || [1, 3, 4, 4, 5]\n",
      "8 0 5 | 3 7 3 7 || [1, 3, 4, 4, 5, 7]\n",
      "8 0 6 | 3 8 3 7 || [1, 3, 4, 4, 5, 7, 7]\n",
      "8 0 7 | 4 8 3 7 || [1, 3, 4, 4, 5, 7, 7, 9]\n",
      "8 8 8 | 9 12 11 9 || [1, 3, 4, 4, 5, 7, 7, 9, 3]\n",
      "8 8 9 | 10 12 11 9 || [1, 3, 4, 4, 5, 7, 7, 9, 3, 8]\n",
      "16 0 0 | 1 8 7 9 || [1]\n",
      "16 0 1 | 2 8 7 9 || [1, 3]\n",
      "16 0 2 | 2 9 7 9 || [1, 3, 3]\n",
      "16 0 3 | 3 9 7 9 || [1, 3, 3, 4]\n",
      "16 0 4 | 4 9 7 9 || [1, 3, 3, 4, 4]\n",
      "16 0 5 | 5 9 7 9 || [1, 3, 3, 4, 4, 5]\n",
      "16 0 6 | 6 9 7 9 || [1, 3, 3, 4, 4, 5, 7]\n",
      "16 0 7 | 7 9 7 9 || [1, 3, 3, 4, 4, 5, 7, 7]\n",
      "16 0 8 | 7 10 7 9 || [1, 3, 3, 4, 4, 5, 7, 7, 8]\n",
      "16 0 9 | 8 10 7 9 || [1, 3, 3, 4, 4, 5, 7, 7, 8, 9]\n",
      "2 0 0 | 1 1 0 1 || [6]\n",
      "2 0 1 | 1 2 0 1 || [6, 7]\n",
      "2 2 2 | 3 3 2 3 || [6, 7, 2]\n",
      "2 2 3 | 3 4 2 3 || [6, 7, 2, 4]\n",
      "2 4 4 | 5 5 4 5 || [6, 7, 2, 4, 1]\n",
      "2 4 5 | 5 6 4 5 || [6, 7, 2, 4, 1, 9]\n",
      "2 6 6 | 7 7 6 7 || [6, 7, 2, 4, 1, 9, 5]\n",
      "2 6 7 | 7 8 6 7 || [6, 7, 2, 4, 1, 9, 5, 6]\n",
      "2 8 8 | 8 10 8 9 || [6, 7, 2, 4, 1, 9, 5, 6, 4]\n",
      "2 8 9 | 9 10 8 9 || [6, 7, 2, 4, 1, 9, 5, 6, 4, 9]\n",
      "4 0 0 | 0 3 1 3 || [2]\n",
      "4 0 1 | 0 4 1 3 || [2, 4]\n",
      "4 0 2 | 1 4 1 3 || [2, 4, 6]\n",
      "4 0 3 | 2 4 1 3 || [2, 4, 6, 7]\n",
      "4 4 4 | 5 6 5 7 || [2, 4, 6, 7, 1]\n",
      "4 4 5 | 5 7 5 7 || [2, 4, 6, 7, 1, 5]\n",
      "4 4 6 | 5 8 5 7 || [2, 4, 6, 7, 1, 5, 6]\n",
      "4 4 7 | 6 8 5 7 || [2, 4, 6, 7, 1, 5, 6, 9]\n",
      "4 8 8 | 9 10 9 9 || [2, 4, 6, 7, 1, 5, 6, 9, 4]\n",
      "4 8 9 | 10 10 9 9 || [2, 4, 6, 7, 1, 5, 6, 9, 4, 9]\n",
      "8 0 0 | 0 5 3 7 || [1]\n",
      "8 0 1 | 1 5 3 7 || [1, 2]\n",
      "8 0 2 | 2 5 3 7 || [1, 2, 4]\n",
      "8 0 3 | 2 6 3 7 || [1, 2, 4, 5]\n",
      "8 0 4 | 3 6 3 7 || [1, 2, 4, 5, 6]\n",
      "8 0 5 | 3 7 3 7 || [1, 2, 4, 5, 6, 6]\n",
      "8 0 6 | 4 7 3 7 || [1, 2, 4, 5, 6, 6, 7]\n",
      "8 0 7 | 4 8 3 7 || [1, 2, 4, 5, 6, 6, 7, 9]\n",
      "8 8 8 | 9 12 11 9 || [1, 2, 4, 5, 6, 6, 7, 9, 4]\n",
      "8 8 9 | 10 12 11 9 || [1, 2, 4, 5, 6, 6, 7, 9, 4, 9]\n",
      "16 0 0 | 1 8 7 9 || [1]\n",
      "16 0 1 | 2 8 7 9 || [1, 2]\n",
      "16 0 2 | 3 8 7 9 || [1, 2, 4]\n",
      "16 0 3 | 3 9 7 9 || [1, 2, 4, 4]\n",
      "16 0 4 | 4 9 7 9 || [1, 2, 4, 4, 5]\n",
      "16 0 5 | 5 9 7 9 || [1, 2, 4, 4, 5, 6]\n",
      "16 0 6 | 6 9 7 9 || [1, 2, 4, 4, 5, 6, 6]\n",
      "16 0 7 | 7 9 7 9 || [1, 2, 4, 4, 5, 6, 6, 7]\n",
      "16 0 8 | 8 9 7 9 || [1, 2, 4, 4, 5, 6, 6, 7, 9]\n",
      "16 0 9 | 8 10 7 9 || [1, 2, 4, 4, 5, 6, 6, 7, 9, 9]\n",
      "2 0 0 | 0 2 0 1 || [6]\n",
      "2 0 1 | 1 2 0 1 || [6, 9]\n",
      "2 2 2 | 2 4 2 3 || [6, 9, 2]\n",
      "2 2 3 | 3 4 2 3 || [6, 9, 2, 7]\n",
      "2 4 4 | 4 6 4 5 || [6, 9, 2, 7, 0]\n",
      "2 4 5 | 5 6 4 5 || [6, 9, 2, 7, 0, 7]\n",
      "2 6 6 | 7 7 6 7 || [6, 9, 2, 7, 0, 7, 6]\n",
      "2 6 7 | 7 8 6 7 || [6, 9, 2, 7, 0, 7, 6, 9]\n",
      "2 8 8 | 8 10 8 9 || [6, 9, 2, 7, 0, 7, 6, 9, 4]\n",
      "2 8 9 | 9 10 8 9 || [6, 9, 2, 7, 0, 7, 6, 9, 4, 8]\n",
      "4 0 0 | 0 3 1 3 || [2]\n",
      "4 0 1 | 1 3 1 3 || [2, 6]\n",
      "4 0 2 | 1 4 1 3 || [2, 6, 7]\n",
      "4 0 3 | 2 4 1 3 || [2, 6, 7, 9]\n",
      "4 4 4 | 5 6 5 7 || [2, 6, 7, 9, 0]\n",
      "4 4 5 | 5 7 5 7 || [2, 6, 7, 9, 0, 6]\n",
      "4 4 6 | 6 7 5 7 || [2, 6, 7, 9, 0, 6, 7]\n",
      "4 4 7 | 6 8 5 7 || [2, 6, 7, 9, 0, 6, 7, 9]\n",
      "4 8 8 | 9 10 9 9 || [2, 6, 7, 9, 0, 6, 7, 9, 4]\n",
      "4 8 9 | 10 10 9 9 || [2, 6, 7, 9, 0, 6, 7, 9, 4, 8]\n",
      "8 0 0 | 0 5 3 7 || [0]\n",
      "8 0 1 | 1 5 3 7 || [0, 2]\n",
      "8 0 2 | 2 5 3 7 || [0, 2, 6]\n",
      "8 0 3 | 2 6 3 7 || [0, 2, 6, 6]\n",
      "8 0 4 | 3 6 3 7 || [0, 2, 6, 6, 7]\n",
      "8 0 5 | 3 7 3 7 || [0, 2, 6, 6, 7, 7]\n",
      "8 0 6 | 4 7 3 7 || [0, 2, 6, 6, 7, 7, 9]\n",
      "8 0 7 | 4 8 3 7 || [0, 2, 6, 6, 7, 7, 9, 9]\n",
      "8 8 8 | 9 12 11 9 || [0, 2, 6, 6, 7, 7, 9, 9, 4]\n",
      "8 8 9 | 10 12 11 9 || [0, 2, 6, 6, 7, 7, 9, 9, 4, 8]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 2 8 7 9 || [0, 2]\n",
      "16 0 2 | 2 9 7 9 || [0, 2, 4]\n",
      "16 0 3 | 3 9 7 9 || [0, 2, 4, 6]\n",
      "16 0 4 | 4 9 7 9 || [0, 2, 4, 6, 6]\n",
      "16 0 5 | 5 9 7 9 || [0, 2, 4, 6, 6, 7]\n",
      "16 0 6 | 6 9 7 9 || [0, 2, 4, 6, 6, 7, 7]\n",
      "16 0 7 | 6 10 7 9 || [0, 2, 4, 6, 6, 7, 7, 8]\n",
      "16 0 8 | 7 10 7 9 || [0, 2, 4, 6, 6, 7, 7, 8, 9]\n",
      "16 0 9 | 8 10 7 9 || [0, 2, 4, 6, 6, 7, 7, 8, 9, 9]\n",
      "2 0 0 | 0 2 0 1 || [2]\n",
      "2 0 1 | 1 2 0 1 || [2, 7]\n",
      "2 2 2 | 3 3 2 3 || [2, 7, 0]\n",
      "2 2 3 | 3 4 2 3 || [2, 7, 0, 5]\n",
      "2 4 4 | 4 6 4 5 || [2, 7, 0, 5, 2]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2 4 5 | 5 6 4 5 || [2, 7, 0, 5, 2, 6]\n",
      "2 6 6 | 7 7 6 7 || [2, 7, 0, 5, 2, 6, 0]\n",
      "2 6 7 | 7 8 6 7 || [2, 7, 0, 5, 2, 6, 0, 1]\n",
      "2 8 8 | 8 10 8 9 || [2, 7, 0, 5, 2, 6, 0, 1, 8]\n",
      "2 8 9 | 9 10 8 9 || [2, 7, 0, 5, 2, 6, 0, 1, 8, 9]\n",
      "4 0 0 | 0 3 1 3 || [0]\n",
      "4 0 1 | 1 3 1 3 || [0, 2]\n",
      "4 0 2 | 1 4 1 3 || [0, 2, 5]\n",
      "4 0 3 | 2 4 1 3 || [0, 2, 5, 7]\n",
      "4 4 4 | 4 7 5 7 || [0, 2, 5, 7, 0]\n",
      "4 4 5 | 4 8 5 7 || [0, 2, 5, 7, 0, 1]\n",
      "4 4 6 | 5 8 5 7 || [0, 2, 5, 7, 0, 1, 2]\n",
      "4 4 7 | 6 8 5 7 || [0, 2, 5, 7, 0, 1, 2, 6]\n",
      "4 8 8 | 9 10 9 9 || [0, 2, 5, 7, 0, 1, 2, 6, 8]\n",
      "4 8 9 | 10 10 9 9 || [0, 2, 5, 7, 0, 1, 2, 6, 8, 9]\n",
      "8 0 0 | 1 4 3 7 || [0]\n",
      "8 0 1 | 1 5 3 7 || [0, 0]\n",
      "8 0 2 | 1 6 3 7 || [0, 0, 1]\n",
      "8 0 3 | 2 6 3 7 || [0, 0, 1, 2]\n",
      "8 0 4 | 2 7 3 7 || [0, 0, 1, 2, 2]\n",
      "8 0 5 | 3 7 3 7 || [0, 0, 1, 2, 2, 5]\n",
      "8 0 6 | 3 8 3 7 || [0, 0, 1, 2, 2, 5, 6]\n",
      "8 0 7 | 4 8 3 7 || [0, 0, 1, 2, 2, 5, 6, 7]\n",
      "8 8 8 | 9 12 11 9 || [0, 0, 1, 2, 2, 5, 6, 7, 8]\n",
      "8 8 9 | 10 12 11 9 || [0, 0, 1, 2, 2, 5, 6, 7, 8, 9]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 2 8 7 9 || [0, 0]\n",
      "16 0 2 | 3 8 7 9 || [0, 0, 1]\n",
      "16 0 3 | 4 8 7 9 || [0, 0, 1, 2]\n",
      "16 0 4 | 5 8 7 9 || [0, 0, 1, 2, 2]\n",
      "16 0 5 | 6 8 7 9 || [0, 0, 1, 2, 2, 5]\n",
      "16 0 6 | 7 8 7 9 || [0, 0, 1, 2, 2, 5, 6]\n",
      "16 0 7 | 8 8 7 9 || [0, 0, 1, 2, 2, 5, 6, 7]\n",
      "16 0 8 | 8 9 7 9 || [0, 0, 1, 2, 2, 5, 6, 7, 8]\n",
      "16 0 9 | 8 10 7 9 || [0, 0, 1, 2, 2, 5, 6, 7, 8, 9]\n",
      "2 0 0 | 0 2 0 1 || [2]\n",
      "2 0 1 | 1 2 0 1 || [2, 7]\n",
      "2 2 2 | 3 3 2 3 || [2, 7, 7]\n",
      "2 2 3 | 3 4 2 3 || [2, 7, 7, 8]\n",
      "2 4 4 | 5 5 4 5 || [2, 7, 7, 8, 2]\n",
      "2 4 5 | 5 6 4 5 || [2, 7, 7, 8, 2, 4]\n",
      "2 6 6 | 6 8 6 7 || [2, 7, 7, 8, 2, 4, 0]\n",
      "2 6 7 | 7 8 6 7 || [2, 7, 7, 8, 2, 4, 0, 5]\n",
      "2 8 8 | 9 9 8 9 || [2, 7, 7, 8, 2, 4, 0, 5, 6]\n",
      "2 8 9 | 9 10 8 9 || [2, 7, 7, 8, 2, 4, 0, 5, 6, 7]\n",
      "4 0 0 | 1 2 1 3 || [2]\n",
      "4 0 1 | 2 2 1 3 || [2, 7]\n",
      "4 0 2 | 2 3 1 3 || [2, 7, 7]\n",
      "4 0 3 | 2 4 1 3 || [2, 7, 7, 8]\n",
      "4 4 4 | 4 7 5 7 || [2, 7, 7, 8, 0]\n",
      "4 4 5 | 5 7 5 7 || [2, 7, 7, 8, 0, 2]\n",
      "4 4 6 | 6 7 5 7 || [2, 7, 7, 8, 0, 2, 4]\n",
      "4 4 7 | 6 8 5 7 || [2, 7, 7, 8, 0, 2, 4, 5]\n",
      "4 8 8 | 9 10 9 9 || [2, 7, 7, 8, 0, 2, 4, 5, 6]\n",
      "4 8 9 | 10 10 9 9 || [2, 7, 7, 8, 0, 2, 4, 5, 6, 7]\n",
      "8 0 0 | 0 5 3 7 || [0]\n",
      "8 0 1 | 1 5 3 7 || [0, 2]\n",
      "8 0 2 | 1 6 3 7 || [0, 2, 2]\n",
      "8 0 3 | 1 7 3 7 || [0, 2, 2, 4]\n",
      "8 0 4 | 1 8 3 7 || [0, 2, 2, 4, 5]\n",
      "8 0 5 | 2 8 3 7 || [0, 2, 2, 4, 5, 7]\n",
      "8 0 6 | 3 8 3 7 || [0, 2, 2, 4, 5, 7, 7]\n",
      "8 0 7 | 4 8 3 7 || [0, 2, 2, 4, 5, 7, 7, 8]\n",
      "8 8 8 | 9 12 11 9 || [0, 2, 2, 4, 5, 7, 7, 8, 6]\n",
      "8 8 9 | 10 12 11 9 || [0, 2, 2, 4, 5, 7, 7, 8, 6, 7]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 2 8 7 9 || [0, 2]\n",
      "16 0 2 | 3 8 7 9 || [0, 2, 2]\n",
      "16 0 3 | 4 8 7 9 || [0, 2, 2, 4]\n",
      "16 0 4 | 5 8 7 9 || [0, 2, 2, 4, 5]\n",
      "16 0 5 | 5 9 7 9 || [0, 2, 2, 4, 5, 6]\n",
      "16 0 6 | 6 9 7 9 || [0, 2, 2, 4, 5, 6, 7]\n",
      "16 0 7 | 7 9 7 9 || [0, 2, 2, 4, 5, 6, 7, 7]\n",
      "16 0 8 | 7 10 7 9 || [0, 2, 2, 4, 5, 6, 7, 7, 7]\n",
      "16 0 9 | 8 10 7 9 || [0, 2, 2, 4, 5, 6, 7, 7, 7, 8]\n",
      "2 0 0 | 1 1 0 1 || [3]\n",
      "2 0 1 | 1 2 0 1 || [3, 7]\n",
      "2 2 2 | 2 4 2 3 || [3, 7, 4]\n",
      "2 2 3 | 3 4 2 3 || [3, 7, 4, 9]\n",
      "2 4 4 | 4 6 4 5 || [3, 7, 4, 9, 0]\n",
      "2 4 5 | 5 6 4 5 || [3, 7, 4, 9, 0, 4]\n",
      "2 6 6 | 7 7 6 7 || [3, 7, 4, 9, 0, 4, 1]\n",
      "2 6 7 | 7 8 6 7 || [3, 7, 4, 9, 0, 4, 1, 5]\n",
      "2 8 8 | 9 9 8 9 || [3, 7, 4, 9, 0, 4, 1, 5, 0]\n",
      "2 8 9 | 9 10 8 9 || [3, 7, 4, 9, 0, 4, 1, 5, 0, 4]\n",
      "4 0 0 | 1 2 1 3 || [3]\n",
      "4 0 1 | 1 3 1 3 || [3, 4]\n",
      "4 0 2 | 2 3 1 3 || [3, 4, 7]\n",
      "4 0 3 | 2 4 1 3 || [3, 4, 7, 9]\n",
      "4 4 4 | 5 6 5 7 || [3, 4, 7, 9, 0]\n",
      "4 4 5 | 5 7 5 7 || [3, 4, 7, 9, 0, 1]\n",
      "4 4 6 | 6 7 5 7 || [3, 4, 7, 9, 0, 1, 4]\n",
      "4 4 7 | 6 8 5 7 || [3, 4, 7, 9, 0, 1, 4, 5]\n",
      "4 8 8 | 9 10 9 9 || [3, 4, 7, 9, 0, 1, 4, 5, 0]\n",
      "4 8 9 | 10 10 9 9 || [3, 4, 7, 9, 0, 1, 4, 5, 0, 4]\n",
      "8 0 0 | 0 5 3 7 || [0]\n",
      "8 0 1 | 0 6 3 7 || [0, 1]\n",
      "8 0 2 | 1 6 3 7 || [0, 1, 3]\n",
      "8 0 3 | 2 6 3 7 || [0, 1, 3, 4]\n",
      "8 0 4 | 2 7 3 7 || [0, 1, 3, 4, 4]\n",
      "8 0 5 | 2 8 3 7 || [0, 1, 3, 4, 4, 5]\n",
      "8 0 6 | 3 8 3 7 || [0, 1, 3, 4, 4, 5, 7]\n",
      "8 0 7 | 4 8 3 7 || [0, 1, 3, 4, 4, 5, 7, 9]\n",
      "8 8 8 | 9 12 11 9 || [0, 1, 3, 4, 4, 5, 7, 9, 0]\n",
      "8 8 9 | 10 12 11 9 || [0, 1, 3, 4, 4, 5, 7, 9, 0, 4]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 1 9 7 9 || [0, 0]\n",
      "16 0 2 | 2 9 7 9 || [0, 0, 1]\n",
      "16 0 3 | 3 9 7 9 || [0, 0, 1, 3]\n",
      "16 0 4 | 4 9 7 9 || [0, 0, 1, 3, 4]\n",
      "16 0 5 | 5 9 7 9 || [0, 0, 1, 3, 4, 4]\n",
      "16 0 6 | 5 10 7 9 || [0, 0, 1, 3, 4, 4, 4]\n",
      "16 0 7 | 6 10 7 9 || [0, 0, 1, 3, 4, 4, 4, 5]\n",
      "16 0 8 | 7 10 7 9 || [0, 0, 1, 3, 4, 4, 4, 5, 7]\n",
      "16 0 9 | 8 10 7 9 || [0, 0, 1, 3, 4, 4, 4, 5, 7, 9]\n",
      "2 0 0 | 1 1 0 1 || [6]\n",
      "2 0 1 | 1 2 0 1 || [6, 7]\n",
      "2 2 2 | 2 4 2 3 || [6, 7, 4]\n",
      "2 2 3 | 3 4 2 3 || [6, 7, 4, 5]\n",
      "2 4 4 | 5 5 4 5 || [6, 7, 4, 5, 8]\n",
      "2 4 5 | 5 6 4 5 || [6, 7, 4, 5, 8, 8]\n",
      "2 6 6 | 7 7 6 7 || [6, 7, 4, 5, 8, 8, 1]\n",
      "2 6 7 | 7 8 6 7 || [6, 7, 4, 5, 8, 8, 1, 5]\n",
      "2 8 8 | 8 10 8 9 || [6, 7, 4, 5, 8, 8, 1, 5, 2]\n",
      "2 8 9 | 9 10 8 9 || [6, 7, 4, 5, 8, 8, 1, 5, 2, 5]\n",
      "4 0 0 | 0 3 1 3 || [4]\n",
      "4 0 1 | 0 4 1 3 || [4, 5]\n",
      "4 0 2 | 1 4 1 3 || [4, 5, 6]\n",
      "4 0 3 | 2 4 1 3 || [4, 5, 6, 7]\n",
      "4 4 4 | 4 7 5 7 || [4, 5, 6, 7, 1]\n",
      "4 4 5 | 4 8 5 7 || [4, 5, 6, 7, 1, 5]\n",
      "4 4 6 | 5 8 5 7 || [4, 5, 6, 7, 1, 5, 8]\n",
      "4 4 7 | 6 8 5 7 || [4, 5, 6, 7, 1, 5, 8, 8]\n",
      "4 8 8 | 9 10 9 9 || [4, 5, 6, 7, 1, 5, 8, 8, 2]\n",
      "4 8 9 | 10 10 9 9 || [4, 5, 6, 7, 1, 5, 8, 8, 2, 5]\n",
      "8 0 0 | 0 5 3 7 || [1]\n",
      "8 0 1 | 1 5 3 7 || [1, 4]\n",
      "8 0 2 | 2 5 3 7 || [1, 4, 5]\n",
      "8 0 3 | 2 6 3 7 || [1, 4, 5, 5]\n",
      "8 0 4 | 3 6 3 7 || [1, 4, 5, 5, 6]\n",
      "8 0 5 | 4 6 3 7 || [1, 4, 5, 5, 6, 7]\n",
      "8 0 6 | 4 7 3 7 || [1, 4, 5, 5, 6, 7, 8]\n",
      "8 0 7 | 4 8 3 7 || [1, 4, 5, 5, 6, 7, 8, 8]\n",
      "8 8 8 | 9 12 11 9 || [1, 4, 5, 5, 6, 7, 8, 8, 2]\n",
      "8 8 9 | 10 12 11 9 || [1, 4, 5, 5, 6, 7, 8, 8, 2, 5]\n",
      "16 0 0 | 1 8 7 9 || [1]\n",
      "16 0 1 | 1 9 7 9 || [1, 2]\n",
      "16 0 2 | 2 9 7 9 || [1, 2, 4]\n",
      "16 0 3 | 3 9 7 9 || [1, 2, 4, 5]\n",
      "16 0 4 | 4 9 7 9 || [1, 2, 4, 5, 5]\n",
      "16 0 5 | 4 10 7 9 || [1, 2, 4, 5, 5, 5]\n",
      "16 0 6 | 5 10 7 9 || [1, 2, 4, 5, 5, 5, 6]\n",
      "16 0 7 | 6 10 7 9 || [1, 2, 4, 5, 5, 5, 6, 7]\n",
      "16 0 8 | 7 10 7 9 || [1, 2, 4, 5, 5, 5, 6, 7, 8]\n",
      "16 0 9 | 8 10 7 9 || [1, 2, 4, 5, 5, 5, 6, 7, 8, 8]\n",
      "2 0 0 | 1 1 0 1 || [0]\n",
      "2 0 1 | 1 2 0 1 || [0, 3]\n",
      "2 2 2 | 3 3 2 3 || [0, 3, 2]\n",
      "2 2 3 | 3 4 2 3 || [0, 3, 2, 8]\n",
      "2 4 4 | 5 5 4 5 || [0, 3, 2, 8, 1]\n",
      "2 4 5 | 5 6 4 5 || [0, 3, 2, 8, 1, 6]\n",
      "2 6 6 | 7 7 6 7 || [0, 3, 2, 8, 1, 6, 0]\n",
      "2 6 7 | 7 8 6 7 || [0, 3, 2, 8, 1, 6, 0, 9]\n",
      "2 8 8 | 8 10 8 9 || [0, 3, 2, 8, 1, 6, 0, 9, 1]\n",
      "2 8 9 | 9 10 8 9 || [0, 3, 2, 8, 1, 6, 0, 9, 1, 4]\n",
      "4 0 0 | 1 2 1 3 || [0]\n",
      "4 0 1 | 1 3 1 3 || [0, 2]\n",
      "4 0 2 | 2 3 1 3 || [0, 2, 3]\n",
      "4 0 3 | 2 4 1 3 || [0, 2, 3, 8]\n",
      "4 4 4 | 4 7 5 7 || [0, 2, 3, 8, 0]\n",
      "4 4 5 | 5 7 5 7 || [0, 2, 3, 8, 0, 1]\n",
      "4 4 6 | 6 7 5 7 || [0, 2, 3, 8, 0, 1, 6]\n",
      "4 4 7 | 6 8 5 7 || [0, 2, 3, 8, 0, 1, 6, 9]\n",
      "4 8 8 | 9 10 9 9 || [0, 2, 3, 8, 0, 1, 6, 9, 1]\n",
      "4 8 9 | 10 10 9 9 || [0, 2, 3, 8, 0, 1, 6, 9, 1, 4]\n",
      "8 0 0 | 1 4 3 7 || [0]\n",
      "8 0 1 | 1 5 3 7 || [0, 0]\n",
      "8 0 2 | 1 6 3 7 || [0, 0, 1]\n",
      "8 0 3 | 2 6 3 7 || [0, 0, 1, 2]\n",
      "8 0 4 | 3 6 3 7 || [0, 0, 1, 2, 3]\n",
      "8 0 5 | 3 7 3 7 || [0, 0, 1, 2, 3, 6]\n",
      "8 0 6 | 4 7 3 7 || [0, 0, 1, 2, 3, 6, 8]\n",
      "8 0 7 | 4 8 3 7 || [0, 0, 1, 2, 3, 6, 8, 9]\n",
      "8 8 8 | 9 12 11 9 || [0, 0, 1, 2, 3, 6, 8, 9, 1]\n",
      "8 8 9 | 10 12 11 9 || [0, 0, 1, 2, 3, 6, 8, 9, 1, 4]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 2 8 7 9 || [0, 0]\n",
      "16 0 2 | 3 8 7 9 || [0, 0, 1]\n",
      "16 0 3 | 3 9 7 9 || [0, 0, 1, 1]\n",
      "16 0 4 | 4 9 7 9 || [0, 0, 1, 1, 2]\n",
      "16 0 5 | 5 9 7 9 || [0, 0, 1, 1, 2, 3]\n",
      "16 0 6 | 5 10 7 9 || [0, 0, 1, 1, 2, 3, 4]\n",
      "16 0 7 | 6 10 7 9 || [0, 0, 1, 1, 2, 3, 4, 6]\n",
      "16 0 8 | 7 10 7 9 || [0, 0, 1, 1, 2, 3, 4, 6, 8]\n",
      "16 0 9 | 8 10 7 9 || [0, 0, 1, 1, 2, 3, 4, 6, 8, 9]\n",
      "2 0 0 | 1 1 0 1 || [5]\n",
      "2 0 1 | 1 2 0 1 || [5, 5]\n",
      "2 2 2 | 3 3 2 3 || [5, 5, 2]\n",
      "2 2 3 | 3 4 2 3 || [5, 5, 2, 3]\n",
      "2 4 4 | 4 6 4 5 || [5, 5, 2, 3, 0]\n",
      "2 4 5 | 5 6 4 5 || [5, 5, 2, 3, 0, 7]\n",
      "2 6 6 | 7 7 6 7 || [5, 5, 2, 3, 0, 7, 7]\n",
      "2 6 7 | 7 8 6 7 || [5, 5, 2, 3, 0, 7, 7, 7]\n",
      "2 8 8 | 8 10 8 9 || [5, 5, 2, 3, 0, 7, 7, 7, 1]\n",
      "2 8 9 | 9 10 8 9 || [5, 5, 2, 3, 0, 7, 7, 7, 1, 7]\n",
      "4 0 0 | 0 3 1 3 || [2]\n",
      "4 0 1 | 0 4 1 3 || [2, 3]\n",
      "4 0 2 | 1 4 1 3 || [2, 3, 5]\n",
      "4 0 3 | 2 4 1 3 || [2, 3, 5, 5]\n",
      "4 4 4 | 5 6 5 7 || [2, 3, 5, 5, 0]\n",
      "4 4 5 | 6 6 5 7 || [2, 3, 5, 5, 0, 7]\n",
      "4 4 6 | 6 7 5 7 || [2, 3, 5, 5, 0, 7, 7]\n",
      "4 4 7 | 6 8 5 7 || [2, 3, 5, 5, 0, 7, 7, 7]\n",
      "4 8 8 | 9 10 9 9 || [2, 3, 5, 5, 0, 7, 7, 7, 1]\n",
      "4 8 9 | 10 10 9 9 || [2, 3, 5, 5, 0, 7, 7, 7, 1, 7]\n",
      "8 0 0 | 0 5 3 7 || [0]\n",
      "8 0 1 | 1 5 3 7 || [0, 2]\n",
      "8 0 2 | 2 5 3 7 || [0, 2, 3]\n",
      "8 0 3 | 3 5 3 7 || [0, 2, 3, 5]\n",
      "8 0 4 | 4 5 3 7 || [0, 2, 3, 5, 5]\n",
      "8 0 5 | 4 6 3 7 || [0, 2, 3, 5, 5, 7]\n",
      "8 0 6 | 4 7 3 7 || [0, 2, 3, 5, 5, 7, 7]\n",
      "8 0 7 | 4 8 3 7 || [0, 2, 3, 5, 5, 7, 7, 7]\n",
      "8 8 8 | 9 12 11 9 || [0, 2, 3, 5, 5, 7, 7, 7, 1]\n",
      "8 8 9 | 10 12 11 9 || [0, 2, 3, 5, 5, 7, 7, 7, 1, 7]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 1 9 7 9 || [0, 1]\n",
      "16 0 2 | 2 9 7 9 || [0, 1, 2]\n",
      "16 0 3 | 3 9 7 9 || [0, 1, 2, 3]\n",
      "16 0 4 | 4 9 7 9 || [0, 1, 2, 3, 5]\n",
      "16 0 5 | 5 9 7 9 || [0, 1, 2, 3, 5, 5]\n",
      "16 0 6 | 6 9 7 9 || [0, 1, 2, 3, 5, 5, 7]\n",
      "16 0 7 | 7 9 7 9 || [0, 1, 2, 3, 5, 5, 7, 7]\n",
      "16 0 8 | 8 9 7 9 || [0, 1, 2, 3, 5, 5, 7, 7, 7]\n",
      "16 0 9 | 8 10 7 9 || [0, 1, 2, 3, 5, 5, 7, 7, 7, 7]\n",
      "2 0 0 | 1 1 0 1 || [3]\n",
      "2 0 1 | 1 2 0 1 || [3, 4]\n",
      "2 2 2 | 3 3 2 3 || [3, 4, 6]\n",
      "2 2 3 | 3 4 2 3 || [3, 4, 6, 9]\n",
      "2 4 4 | 5 5 4 5 || [3, 4, 6, 9, 0]\n",
      "2 4 5 | 5 6 4 5 || [3, 4, 6, 9, 0, 1]\n",
      "2 6 6 | 6 8 6 7 || [3, 4, 6, 9, 0, 1, 2]\n",
      "2 6 7 | 7 8 6 7 || [3, 4, 6, 9, 0, 1, 2, 3]\n",
      "2 8 8 | 9 9 8 9 || [3, 4, 6, 9, 0, 1, 2, 3, 5]\n",
      "2 8 9 | 9 10 8 9 || [3, 4, 6, 9, 0, 1, 2, 3, 5, 9]\n",
      "4 0 0 | 1 2 1 3 || [3]\n",
      "4 0 1 | 2 2 1 3 || [3, 4]\n",
      "4 0 2 | 2 3 1 3 || [3, 4, 6]\n",
      "4 0 3 | 2 4 1 3 || [3, 4, 6, 9]\n",
      "4 4 4 | 5 6 5 7 || [3, 4, 6, 9, 0]\n",
      "4 4 5 | 6 6 5 7 || [3, 4, 6, 9, 0, 1]\n",
      "4 4 6 | 6 7 5 7 || [3, 4, 6, 9, 0, 1, 2]\n",
      "4 4 7 | 6 8 5 7 || [3, 4, 6, 9, 0, 1, 2, 3]\n",
      "4 8 8 | 9 10 9 9 || [3, 4, 6, 9, 0, 1, 2, 3, 5]\n",
      "4 8 9 | 10 10 9 9 || [3, 4, 6, 9, 0, 1, 2, 3, 5, 9]\n",
      "8 0 0 | 0 5 3 7 || [0]\n",
      "8 0 1 | 0 6 3 7 || [0, 1]\n",
      "8 0 2 | 0 7 3 7 || [0, 1, 2]\n",
      "8 0 3 | 1 7 3 7 || [0, 1, 2, 3]\n",
      "8 0 4 | 1 8 3 7 || [0, 1, 2, 3, 3]\n",
      "8 0 5 | 2 8 3 7 || [0, 1, 2, 3, 3, 4]\n",
      "8 0 6 | 3 8 3 7 || [0, 1, 2, 3, 3, 4, 6]\n",
      "8 0 7 | 4 8 3 7 || [0, 1, 2, 3, 3, 4, 6, 9]\n",
      "8 8 8 | 9 12 11 9 || [0, 1, 2, 3, 3, 4, 6, 9, 5]\n",
      "8 8 9 | 10 12 11 9 || [0, 1, 2, 3, 3, 4, 6, 9, 5, 9]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 2 8 7 9 || [0, 1]\n",
      "16 0 2 | 3 8 7 9 || [0, 1, 2]\n",
      "16 0 3 | 4 8 7 9 || [0, 1, 2, 3]\n",
      "16 0 4 | 5 8 7 9 || [0, 1, 2, 3, 3]\n",
      "16 0 5 | 6 8 7 9 || [0, 1, 2, 3, 3, 4]\n",
      "16 0 6 | 6 9 7 9 || [0, 1, 2, 3, 3, 4, 5]\n",
      "16 0 7 | 7 9 7 9 || [0, 1, 2, 3, 3, 4, 5, 6]\n",
      "16 0 8 | 8 9 7 9 || [0, 1, 2, 3, 3, 4, 5, 6, 9]\n",
      "16 0 9 | 8 10 7 9 || [0, 1, 2, 3, 3, 4, 5, 6, 9, 9]\n",
      "2 0 0 | 0 2 0 1 || [5]\n",
      "2 0 1 | 1 2 0 1 || [5, 6]\n",
      "2 2 2 | 2 4 2 3 || [5, 6, 1]\n",
      "2 2 3 | 3 4 2 3 || [5, 6, 1, 2]\n",
      "2 4 4 | 4 6 4 5 || [5, 6, 1, 2, 5]\n",
      "2 4 5 | 5 6 4 5 || [5, 6, 1, 2, 5, 9]\n",
      "2 6 6 | 7 7 6 7 || [5, 6, 1, 2, 5, 9, 2]\n",
      "2 6 7 | 7 8 6 7 || [5, 6, 1, 2, 5, 9, 2, 2]\n",
      "2 8 8 | 9 9 8 9 || [5, 6, 1, 2, 5, 9, 2, 2, 1]\n",
      "2 8 9 | 9 10 8 9 || [5, 6, 1, 2, 5, 9, 2, 2, 1, 9]\n",
      "4 0 0 | 0 3 1 3 || [1]\n",
      "4 0 1 | 0 4 1 3 || [1, 2]\n",
      "4 0 2 | 1 4 1 3 || [1, 2, 5]\n",
      "4 0 3 | 2 4 1 3 || [1, 2, 5, 6]\n",
      "4 4 4 | 4 7 5 7 || [1, 2, 5, 6, 2]\n",
      "4 4 5 | 4 8 5 7 || [1, 2, 5, 6, 2, 2]\n",
      "4 4 6 | 5 8 5 7 || [1, 2, 5, 6, 2, 2, 5]\n",
      "4 4 7 | 6 8 5 7 || [1, 2, 5, 6, 2, 2, 5, 9]\n",
      "4 8 8 | 9 10 9 9 || [1, 2, 5, 6, 2, 2, 5, 9, 1]\n",
      "4 8 9 | 10 10 9 9 || [1, 2, 5, 6, 2, 2, 5, 9, 1, 9]\n",
      "8 0 0 | 1 4 3 7 || [1]\n",
      "8 0 1 | 2 4 3 7 || [1, 2]\n",
      "8 0 2 | 2 5 3 7 || [1, 2, 2]\n",
      "8 0 3 | 2 6 3 7 || [1, 2, 2, 2]\n",
      "8 0 4 | 3 6 3 7 || [1, 2, 2, 2, 5]\n",
      "8 0 5 | 3 7 3 7 || [1, 2, 2, 2, 5, 5]\n",
      "8 0 6 | 4 7 3 7 || [1, 2, 2, 2, 5, 5, 6]\n",
      "8 0 7 | 4 8 3 7 || [1, 2, 2, 2, 5, 5, 6, 9]\n",
      "8 8 8 | 9 12 11 9 || [1, 2, 2, 2, 5, 5, 6, 9, 1]\n",
      "8 8 9 | 10 12 11 9 || [1, 2, 2, 2, 5, 5, 6, 9, 1, 9]\n",
      "16 0 0 | 1 8 7 9 || [1]\n",
      "16 0 1 | 1 9 7 9 || [1, 1]\n",
      "16 0 2 | 2 9 7 9 || [1, 1, 2]\n",
      "16 0 3 | 3 9 7 9 || [1, 1, 2, 2]\n",
      "16 0 4 | 4 9 7 9 || [1, 1, 2, 2, 2]\n",
      "16 0 5 | 5 9 7 9 || [1, 1, 2, 2, 2, 5]\n",
      "16 0 6 | 6 9 7 9 || [1, 1, 2, 2, 2, 5, 5]\n",
      "16 0 7 | 7 9 7 9 || [1, 1, 2, 2, 2, 5, 5, 6]\n",
      "16 0 8 | 8 9 7 9 || [1, 1, 2, 2, 2, 5, 5, 6, 9]\n",
      "16 0 9 | 8 10 7 9 || [1, 1, 2, 2, 2, 5, 5, 6, 9, 9]\n",
      "2 0 0 | 1 1 0 1 || [3]\n",
      "2 0 1 | 1 2 0 1 || [3, 7]\n",
      "2 2 2 | 3 3 2 3 || [3, 7, 3]\n",
      "2 2 3 | 3 4 2 3 || [3, 7, 3, 7]\n",
      "2 4 4 | 4 6 4 5 || [3, 7, 3, 7, 2]\n",
      "2 4 5 | 5 6 4 5 || [3, 7, 3, 7, 2, 4]\n",
      "2 6 6 | 6 8 6 7 || [3, 7, 3, 7, 2, 4, 6]\n",
      "2 6 7 | 7 8 6 7 || [3, 7, 3, 7, 2, 4, 6, 7]\n",
      "2 8 8 | 8 10 8 9 || [3, 7, 3, 7, 2, 4, 6, 7, 1]\n",
      "2 8 9 | 9 10 8 9 || [3, 7, 3, 7, 2, 4, 6, 7, 1, 2]\n",
      "4 0 0 | 1 2 1 3 || [3]\n",
      "4 0 1 | 1 3 1 3 || [3, 3]\n",
      "4 0 2 | 2 3 1 3 || [3, 3, 7]\n",
      "4 0 3 | 2 4 1 3 || [3, 3, 7, 7]\n",
      "4 4 4 | 5 6 5 7 || [3, 3, 7, 7, 2]\n",
      "4 4 5 | 6 6 5 7 || [3, 3, 7, 7, 2, 4]\n",
      "4 4 6 | 6 7 5 7 || [3, 3, 7, 7, 2, 4, 6]\n",
      "4 4 7 | 6 8 5 7 || [3, 3, 7, 7, 2, 4, 6, 7]\n",
      "4 8 8 | 9 10 9 9 || [3, 3, 7, 7, 2, 4, 6, 7, 1]\n",
      "4 8 9 | 10 10 9 9 || [3, 3, 7, 7, 2, 4, 6, 7, 1, 2]\n",
      "8 0 0 | 0 5 3 7 || [2]\n",
      "8 0 1 | 1 5 3 7 || [2, 3]\n",
      "8 0 2 | 2 5 3 7 || [2, 3, 3]\n",
      "8 0 3 | 2 6 3 7 || [2, 3, 3, 4]\n",
      "8 0 4 | 2 7 3 7 || [2, 3, 3, 4, 6]\n",
      "8 0 5 | 3 7 3 7 || [2, 3, 3, 4, 6, 7]\n",
      "8 0 6 | 4 7 3 7 || [2, 3, 3, 4, 6, 7, 7]\n",
      "8 0 7 | 4 8 3 7 || [2, 3, 3, 4, 6, 7, 7, 7]\n",
      "8 8 8 | 9 12 11 9 || [2, 3, 3, 4, 6, 7, 7, 7, 1]\n",
      "8 8 9 | 10 12 11 9 || [2, 3, 3, 4, 6, 7, 7, 7, 1, 2]\n",
      "16 0 0 | 0 9 7 9 || [1]\n",
      "16 0 1 | 1 9 7 9 || [1, 2]\n",
      "16 0 2 | 1 10 7 9 || [1, 2, 2]\n",
      "16 0 3 | 2 10 7 9 || [1, 2, 2, 3]\n",
      "16 0 4 | 3 10 7 9 || [1, 2, 2, 3, 3]\n",
      "16 0 5 | 4 10 7 9 || [1, 2, 2, 3, 3, 4]\n",
      "16 0 6 | 5 10 7 9 || [1, 2, 2, 3, 3, 4, 6]\n",
      "16 0 7 | 6 10 7 9 || [1, 2, 2, 3, 3, 4, 6, 7]\n",
      "16 0 8 | 7 10 7 9 || [1, 2, 2, 3, 3, 4, 6, 7, 7]\n",
      "16 0 9 | 8 10 7 9 || [1, 2, 2, 3, 3, 4, 6, 7, 7, 7]\n",
      "2 0 0 | 1 1 0 1 || [5]\n",
      "2 0 1 | 1 2 0 1 || [5, 8]\n",
      "2 2 2 | 2 4 2 3 || [5, 8, 0]\n",
      "2 2 3 | 3 4 2 3 || [5, 8, 0, 2]\n",
      "2 4 4 | 5 5 4 5 || [5, 8, 0, 2, 9]\n",
      "2 4 5 | 5 6 4 5 || [5, 8, 0, 2, 9, 9]\n",
      "2 6 6 | 7 7 6 7 || [5, 8, 0, 2, 9, 9, 6]\n",
      "2 6 7 | 7 8 6 7 || [5, 8, 0, 2, 9, 9, 6, 6]\n",
      "2 8 8 | 8 10 8 9 || [5, 8, 0, 2, 9, 9, 6, 6, 4]\n",
      "2 8 9 | 9 10 8 9 || [5, 8, 0, 2, 9, 9, 6, 6, 4, 5]\n",
      "4 0 0 | 0 3 1 3 || [0]\n",
      "4 0 1 | 0 4 1 3 || [0, 2]\n",
      "4 0 2 | 1 4 1 3 || [0, 2, 5]\n",
      "4 0 3 | 2 4 1 3 || [0, 2, 5, 8]\n",
      "4 4 4 | 4 7 5 7 || [0, 2, 5, 8, 6]\n",
      "4 4 5 | 4 8 5 7 || [0, 2, 5, 8, 6, 6]\n",
      "4 4 6 | 5 8 5 7 || [0, 2, 5, 8, 6, 6, 9]\n",
      "4 4 7 | 6 8 5 7 || [0, 2, 5, 8, 6, 6, 9, 9]\n",
      "4 8 8 | 9 10 9 9 || [0, 2, 5, 8, 6, 6, 9, 9, 4]\n",
      "4 8 9 | 10 10 9 9 || [0, 2, 5, 8, 6, 6, 9, 9, 4, 5]\n",
      "8 0 0 | 1 4 3 7 || [0]\n",
      "8 0 1 | 2 4 3 7 || [0, 2]\n",
      "8 0 2 | 3 4 3 7 || [0, 2, 5]\n",
      "8 0 3 | 3 5 3 7 || [0, 2, 5, 6]\n",
      "8 0 4 | 3 6 3 7 || [0, 2, 5, 6, 6]\n",
      "8 0 5 | 4 6 3 7 || [0, 2, 5, 6, 6, 8]\n",
      "8 0 6 | 4 7 3 7 || [0, 2, 5, 6, 6, 8, 9]\n",
      "8 0 7 | 4 8 3 7 || [0, 2, 5, 6, 6, 8, 9, 9]\n",
      "8 8 8 | 9 12 11 9 || [0, 2, 5, 6, 6, 8, 9, 9, 4]\n",
      "8 8 9 | 10 12 11 9 || [0, 2, 5, 6, 6, 8, 9, 9, 4, 5]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 2 8 7 9 || [0, 2]\n",
      "16 0 2 | 2 9 7 9 || [0, 2, 4]\n",
      "16 0 3 | 3 9 7 9 || [0, 2, 4, 5]\n",
      "16 0 4 | 3 10 7 9 || [0, 2, 4, 5, 5]\n",
      "16 0 5 | 4 10 7 9 || [0, 2, 4, 5, 5, 6]\n",
      "16 0 6 | 5 10 7 9 || [0, 2, 4, 5, 5, 6, 6]\n",
      "16 0 7 | 6 10 7 9 || [0, 2, 4, 5, 5, 6, 6, 8]\n",
      "16 0 8 | 7 10 7 9 || [0, 2, 4, 5, 5, 6, 6, 8, 9]\n",
      "16 0 9 | 8 10 7 9 || [0, 2, 4, 5, 5, 6, 6, 8, 9, 9]\n",
      "2 0 0 | 0 2 0 1 || [4]\n",
      "2 0 1 | 1 2 0 1 || [4, 7]\n",
      "2 2 2 | 3 3 2 3 || [4, 7, 8]\n",
      "2 2 3 | 3 4 2 3 || [4, 7, 8, 8]\n",
      "2 4 4 | 5 5 4 5 || [4, 7, 8, 8, 5]\n",
      "2 4 5 | 5 6 4 5 || [4, 7, 8, 8, 5, 6]\n",
      "2 6 6 | 6 8 6 7 || [4, 7, 8, 8, 5, 6, 6]\n",
      "2 6 7 | 7 8 6 7 || [4, 7, 8, 8, 5, 6, 6, 8]\n",
      "2 8 8 | 8 10 8 9 || [4, 7, 8, 8, 5, 6, 6, 8, 0]\n",
      "2 8 9 | 9 10 8 9 || [4, 7, 8, 8, 5, 6, 6, 8, 0, 7]\n",
      "4 0 0 | 1 2 1 3 || [4]\n",
      "4 0 1 | 2 2 1 3 || [4, 7]\n",
      "4 0 2 | 2 3 1 3 || [4, 7, 8]\n",
      "4 0 3 | 2 4 1 3 || [4, 7, 8, 8]\n",
      "4 4 4 | 5 6 5 7 || [4, 7, 8, 8, 5]\n",
      "4 4 5 | 6 6 5 7 || [4, 7, 8, 8, 5, 6]\n",
      "4 4 6 | 6 7 5 7 || [4, 7, 8, 8, 5, 6, 6]\n",
      "4 4 7 | 6 8 5 7 || [4, 7, 8, 8, 5, 6, 6, 8]\n",
      "4 8 8 | 9 10 9 9 || [4, 7, 8, 8, 5, 6, 6, 8, 0]\n",
      "4 8 9 | 10 10 9 9 || [4, 7, 8, 8, 5, 6, 6, 8, 0, 7]\n",
      "8 0 0 | 1 4 3 7 || [4]\n",
      "8 0 1 | 1 5 3 7 || [4, 5]\n",
      "8 0 2 | 1 6 3 7 || [4, 5, 6]\n",
      "8 0 3 | 1 7 3 7 || [4, 5, 6, 6]\n",
      "8 0 4 | 2 7 3 7 || [4, 5, 6, 6, 7]\n",
      "8 0 5 | 3 7 3 7 || [4, 5, 6, 6, 7, 8]\n",
      "8 0 6 | 4 7 3 7 || [4, 5, 6, 6, 7, 8, 8]\n",
      "8 0 7 | 4 8 3 7 || [4, 5, 6, 6, 7, 8, 8, 8]\n",
      "8 8 8 | 9 12 11 9 || [4, 5, 6, 6, 7, 8, 8, 8, 0]\n",
      "8 8 9 | 10 12 11 9 || [4, 5, 6, 6, 7, 8, 8, 8, 0, 7]\n",
      "16 0 0 | 0 9 7 9 || [0]\n",
      "16 0 1 | 1 9 7 9 || [0, 4]\n",
      "16 0 2 | 2 9 7 9 || [0, 4, 5]\n",
      "16 0 3 | 3 9 7 9 || [0, 4, 5, 6]\n",
      "16 0 4 | 4 9 7 9 || [0, 4, 5, 6, 6]\n",
      "16 0 5 | 5 9 7 9 || [0, 4, 5, 6, 6, 7]\n",
      "16 0 6 | 5 10 7 9 || [0, 4, 5, 6, 6, 7, 7]\n",
      "16 0 7 | 6 10 7 9 || [0, 4, 5, 6, 6, 7, 7, 8]\n",
      "16 0 8 | 7 10 7 9 || [0, 4, 5, 6, 6, 7, 7, 8, 8]\n",
      "16 0 9 | 8 10 7 9 || [0, 4, 5, 6, 6, 7, 7, 8, 8, 8]\n",
      "2 0 0 | 0 2 0 1 || [5]\n",
      "2 0 1 | 1 2 0 1 || [5, 8]\n",
      "2 2 2 | 3 3 2 3 || [5, 8, 1]\n",
      "2 2 3 | 3 4 2 3 || [5, 8, 1, 4]\n",
      "2 4 4 | 5 5 4 5 || [5, 8, 1, 4, 0]\n",
      "2 4 5 | 5 6 4 5 || [5, 8, 1, 4, 0, 0]\n",
      "2 6 6 | 6 8 6 7 || [5, 8, 1, 4, 0, 0, 0]\n",
      "2 6 7 | 7 8 6 7 || [5, 8, 1, 4, 0, 0, 0, 6]\n",
      "2 8 8 | 9 9 8 9 || [5, 8, 1, 4, 0, 0, 0, 6, 6]\n",
      "2 8 9 | 9 10 8 9 || [5, 8, 1, 4, 0, 0, 0, 6, 6, 8]\n",
      "4 0 0 | 0 3 1 3 || [1]\n",
      "4 0 1 | 0 4 1 3 || [1, 4]\n",
      "4 0 2 | 1 4 1 3 || [1, 4, 5]\n",
      "4 0 3 | 2 4 1 3 || [1, 4, 5, 8]\n",
      "4 4 4 | 5 6 5 7 || [1, 4, 5, 8, 0]\n",
      "4 4 5 | 6 6 5 7 || [1, 4, 5, 8, 0, 0]\n",
      "4 4 6 | 6 7 5 7 || [1, 4, 5, 8, 0, 0, 0]\n",
      "4 4 7 | 6 8 5 7 || [1, 4, 5, 8, 0, 0, 0, 6]\n",
      "4 8 8 | 9 10 9 9 || [1, 4, 5, 8, 0, 0, 0, 6, 6]\n",
      "4 8 9 | 10 10 9 9 || [1, 4, 5, 8, 0, 0, 0, 6, 6, 8]\n",
      "8 0 0 | 0 5 3 7 || [0]\n",
      "8 0 1 | 0 6 3 7 || [0, 0]\n",
      "8 0 2 | 0 7 3 7 || [0, 0, 0]\n",
      "8 0 3 | 1 7 3 7 || [0, 0, 0, 1]\n",
      "8 0 4 | 2 7 3 7 || [0, 0, 0, 1, 4]\n",
      "8 0 5 | 3 7 3 7 || [0, 0, 0, 1, 4, 5]\n",
      "8 0 6 | 3 8 3 7 || [0, 0, 0, 1, 4, 5, 6]\n",
      "8 0 7 | 4 8 3 7 || [0, 0, 0, 1, 4, 5, 6, 8]\n",
      "8 8 8 | 9 12 11 9 || [0, 0, 0, 1, 4, 5, 6, 8, 6]\n",
      "8 8 9 | 10 12 11 9 || [0, 0, 0, 1, 4, 5, 6, 8, 6, 8]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 2 8 7 9 || [0, 0]\n",
      "16 0 2 | 3 8 7 9 || [0, 0, 0]\n",
      "16 0 3 | 4 8 7 9 || [0, 0, 0, 1]\n",
      "16 0 4 | 5 8 7 9 || [0, 0, 0, 1, 4]\n",
      "16 0 5 | 6 8 7 9 || [0, 0, 0, 1, 4, 5]\n",
      "16 0 6 | 7 8 7 9 || [0, 0, 0, 1, 4, 5, 6]\n",
      "16 0 7 | 7 9 7 9 || [0, 0, 0, 1, 4, 5, 6, 6]\n",
      "16 0 8 | 8 9 7 9 || [0, 0, 0, 1, 4, 5, 6, 6, 8]\n",
      "16 0 9 | 8 10 7 9 || [0, 0, 0, 1, 4, 5, 6, 6, 8, 8]\n",
      "2 0 0 | 1 1 0 1 || [1]\n",
      "2 0 1 | 1 2 0 1 || [1, 9]\n",
      "2 2 2 | 2 4 2 3 || [1, 9, 7]\n",
      "2 2 3 | 3 4 2 3 || [1, 9, 7, 8]\n",
      "2 4 4 | 5 5 4 5 || [1, 9, 7, 8, 4]\n",
      "2 4 5 | 5 6 4 5 || [1, 9, 7, 8, 4, 4]\n",
      "2 6 6 | 6 8 6 7 || [1, 9, 7, 8, 4, 4, 4]\n",
      "2 6 7 | 7 8 6 7 || [1, 9, 7, 8, 4, 4, 4, 9]\n",
      "2 8 8 | 8 10 8 9 || [1, 9, 7, 8, 4, 4, 4, 9, 3]\n",
      "2 8 9 | 9 10 8 9 || [1, 9, 7, 8, 4, 4, 4, 9, 3, 4]\n",
      "4 0 0 | 1 2 1 3 || [1]\n",
      "4 0 1 | 1 3 1 3 || [1, 7]\n",
      "4 0 2 | 1 4 1 3 || [1, 7, 8]\n",
      "4 0 3 | 2 4 1 3 || [1, 7, 8, 9]\n",
      "4 4 4 | 5 6 5 7 || [1, 7, 8, 9, 4]\n",
      "4 4 5 | 6 6 5 7 || [1, 7, 8, 9, 4, 4]\n",
      "4 4 6 | 6 7 5 7 || [1, 7, 8, 9, 4, 4, 4]\n",
      "4 4 7 | 6 8 5 7 || [1, 7, 8, 9, 4, 4, 4, 9]\n",
      "4 8 8 | 9 10 9 9 || [1, 7, 8, 9, 4, 4, 4, 9, 3]\n",
      "4 8 9 | 10 10 9 9 || [1, 7, 8, 9, 4, 4, 4, 9, 3, 4]\n",
      "8 0 0 | 1 4 3 7 || [1]\n",
      "8 0 1 | 1 5 3 7 || [1, 4]\n",
      "8 0 2 | 1 6 3 7 || [1, 4, 4]\n",
      "8 0 3 | 1 7 3 7 || [1, 4, 4, 4]\n",
      "8 0 4 | 2 7 3 7 || [1, 4, 4, 4, 7]\n",
      "8 0 5 | 3 7 3 7 || [1, 4, 4, 4, 7, 8]\n",
      "8 0 6 | 4 7 3 7 || [1, 4, 4, 4, 7, 8, 9]\n",
      "8 0 7 | 4 8 3 7 || [1, 4, 4, 4, 7, 8, 9, 9]\n",
      "8 8 8 | 9 12 11 9 || [1, 4, 4, 4, 7, 8, 9, 9, 3]\n",
      "8 8 9 | 10 12 11 9 || [1, 4, 4, 4, 7, 8, 9, 9, 3, 4]\n",
      "16 0 0 | 1 8 7 9 || [1]\n",
      "16 0 1 | 1 9 7 9 || [1, 3]\n",
      "16 0 2 | 2 9 7 9 || [1, 3, 4]\n",
      "16 0 3 | 3 9 7 9 || [1, 3, 4, 4]\n",
      "16 0 4 | 4 9 7 9 || [1, 3, 4, 4, 4]\n",
      "16 0 5 | 4 10 7 9 || [1, 3, 4, 4, 4, 4]\n",
      "16 0 6 | 5 10 7 9 || [1, 3, 4, 4, 4, 4, 7]\n",
      "16 0 7 | 6 10 7 9 || [1, 3, 4, 4, 4, 4, 7, 8]\n",
      "16 0 8 | 7 10 7 9 || [1, 3, 4, 4, 4, 4, 7, 8, 9]\n",
      "16 0 9 | 8 10 7 9 || [1, 3, 4, 4, 4, 4, 7, 8, 9, 9]\n",
      "2 0 0 | 1 1 0 1 || [7]\n",
      "2 0 1 | 1 2 0 1 || [7, 7]\n",
      "2 2 2 | 3 3 2 3 || [7, 7, 3]\n",
      "2 2 3 | 3 4 2 3 || [7, 7, 3, 7]\n",
      "2 4 4 | 5 5 4 5 || [7, 7, 3, 7, 0]\n",
      "2 4 5 | 5 6 4 5 || [7, 7, 3, 7, 0, 4]\n",
      "2 6 6 | 7 7 6 7 || [7, 7, 3, 7, 0, 4, 3]\n",
      "2 6 7 | 7 8 6 7 || [7, 7, 3, 7, 0, 4, 3, 4]\n",
      "2 8 8 | 9 9 8 9 || [7, 7, 3, 7, 0, 4, 3, 4, 2]\n",
      "2 8 9 | 9 10 8 9 || [7, 7, 3, 7, 0, 4, 3, 4, 2, 2]\n",
      "4 0 0 | 0 3 1 3 || [3]\n",
      "4 0 1 | 1 3 1 3 || [3, 7]\n",
      "4 0 2 | 2 3 1 3 || [3, 7, 7]\n",
      "4 0 3 | 2 4 1 3 || [3, 7, 7, 7]\n",
      "4 4 4 | 5 6 5 7 || [3, 7, 7, 7, 0]\n",
      "4 4 5 | 5 7 5 7 || [3, 7, 7, 7, 0, 3]\n",
      "4 4 6 | 6 7 5 7 || [3, 7, 7, 7, 0, 3, 4]\n",
      "4 4 7 | 6 8 5 7 || [3, 7, 7, 7, 0, 3, 4, 4]\n",
      "4 8 8 | 9 10 9 9 || [3, 7, 7, 7, 0, 3, 4, 4, 2]\n",
      "4 8 9 | 10 10 9 9 || [3, 7, 7, 7, 0, 3, 4, 4, 2, 2]\n",
      "8 0 0 | 0 5 3 7 || [0]\n",
      "8 0 1 | 1 5 3 7 || [0, 3]\n",
      "8 0 2 | 1 6 3 7 || [0, 3, 3]\n",
      "8 0 3 | 1 7 3 7 || [0, 3, 3, 4]\n",
      "8 0 4 | 1 8 3 7 || [0, 3, 3, 4, 4]\n",
      "8 0 5 | 2 8 3 7 || [0, 3, 3, 4, 4, 7]\n",
      "8 0 6 | 3 8 3 7 || [0, 3, 3, 4, 4, 7, 7]\n",
      "8 0 7 | 4 8 3 7 || [0, 3, 3, 4, 4, 7, 7, 7]\n",
      "8 8 8 | 9 12 11 9 || [0, 3, 3, 4, 4, 7, 7, 7, 2]\n",
      "8 8 9 | 10 12 11 9 || [0, 3, 3, 4, 4, 7, 7, 7, 2, 2]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 1 9 7 9 || [0, 2]\n",
      "16 0 2 | 1 10 7 9 || [0, 2, 2]\n",
      "16 0 3 | 2 10 7 9 || [0, 2, 2, 3]\n",
      "16 0 4 | 3 10 7 9 || [0, 2, 2, 3, 3]\n",
      "16 0 5 | 4 10 7 9 || [0, 2, 2, 3, 3, 4]\n",
      "16 0 6 | 5 10 7 9 || [0, 2, 2, 3, 3, 4, 4]\n",
      "16 0 7 | 6 10 7 9 || [0, 2, 2, 3, 3, 4, 4, 7]\n",
      "16 0 8 | 7 10 7 9 || [0, 2, 2, 3, 3, 4, 4, 7, 7]\n",
      "16 0 9 | 8 10 7 9 || [0, 2, 2, 3, 3, 4, 4, 7, 7, 7]\n",
      "2 0 0 | 1 1 0 1 || [4]\n",
      "2 0 1 | 1 2 0 1 || [4, 8]\n",
      "2 2 2 | 3 3 2 3 || [4, 8, 1]\n",
      "2 2 3 | 3 4 2 3 || [4, 8, 1, 6]\n",
      "2 4 4 | 4 6 4 5 || [4, 8, 1, 6, 4]\n",
      "2 4 5 | 5 6 4 5 || [4, 8, 1, 6, 4, 5]\n",
      "2 6 6 | 7 7 6 7 || [4, 8, 1, 6, 4, 5, 0]\n",
      "2 6 7 | 7 8 6 7 || [4, 8, 1, 6, 4, 5, 0, 8]\n",
      "2 8 8 | 9 9 8 9 || [4, 8, 1, 6, 4, 5, 0, 8, 1]\n",
      "2 8 9 | 9 10 8 9 || [4, 8, 1, 6, 4, 5, 0, 8, 1, 4]\n",
      "4 0 0 | 0 3 1 3 || [1]\n",
      "4 0 1 | 1 3 1 3 || [1, 4]\n",
      "4 0 2 | 1 4 1 3 || [1, 4, 6]\n",
      "4 0 3 | 2 4 1 3 || [1, 4, 6, 8]\n",
      "4 4 4 | 4 7 5 7 || [1, 4, 6, 8, 0]\n",
      "4 4 5 | 5 7 5 7 || [1, 4, 6, 8, 0, 4]\n",
      "4 4 6 | 6 7 5 7 || [1, 4, 6, 8, 0, 4, 5]\n",
      "4 4 7 | 6 8 5 7 || [1, 4, 6, 8, 0, 4, 5, 8]\n",
      "4 8 8 | 9 10 9 9 || [1, 4, 6, 8, 0, 4, 5, 8, 1]\n",
      "4 8 9 | 10 10 9 9 || [1, 4, 6, 8, 0, 4, 5, 8, 1, 4]\n",
      "8 0 0 | 0 5 3 7 || [0]\n",
      "8 0 1 | 1 5 3 7 || [0, 1]\n",
      "8 0 2 | 2 5 3 7 || [0, 1, 4]\n",
      "8 0 3 | 2 6 3 7 || [0, 1, 4, 4]\n",
      "8 0 4 | 2 7 3 7 || [0, 1, 4, 4, 5]\n",
      "8 0 5 | 3 7 3 7 || [0, 1, 4, 4, 5, 6]\n",
      "8 0 6 | 4 7 3 7 || [0, 1, 4, 4, 5, 6, 8]\n",
      "8 0 7 | 4 8 3 7 || [0, 1, 4, 4, 5, 6, 8, 8]\n",
      "8 8 8 | 9 12 11 9 || [0, 1, 4, 4, 5, 6, 8, 8, 1]\n",
      "8 8 9 | 10 12 11 9 || [0, 1, 4, 4, 5, 6, 8, 8, 1, 4]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 2 8 7 9 || [0, 1]\n",
      "16 0 2 | 2 9 7 9 || [0, 1, 1]\n",
      "16 0 3 | 3 9 7 9 || [0, 1, 1, 4]\n",
      "16 0 4 | 4 9 7 9 || [0, 1, 1, 4, 4]\n",
      "16 0 5 | 4 10 7 9 || [0, 1, 1, 4, 4, 4]\n",
      "16 0 6 | 5 10 7 9 || [0, 1, 1, 4, 4, 4, 5]\n",
      "16 0 7 | 6 10 7 9 || [0, 1, 1, 4, 4, 4, 5, 6]\n",
      "16 0 8 | 7 10 7 9 || [0, 1, 1, 4, 4, 4, 5, 6, 8]\n",
      "16 0 9 | 8 10 7 9 || [0, 1, 1, 4, 4, 4, 5, 6, 8, 8]\n",
      "2 0 0 | 0 2 0 1 || [5]\n",
      "2 0 1 | 1 2 0 1 || [5, 6]\n",
      "2 2 2 | 2 4 2 3 || [5, 6, 4]\n",
      "2 2 3 | 3 4 2 3 || [5, 6, 4, 8]\n",
      "2 4 4 | 5 5 4 5 || [5, 6, 4, 8, 5]\n",
      "2 4 5 | 5 6 4 5 || [5, 6, 4, 8, 5, 8]\n",
      "2 6 6 | 7 7 6 7 || [5, 6, 4, 8, 5, 8, 5]\n",
      "2 6 7 | 7 8 6 7 || [5, 6, 4, 8, 5, 8, 5, 7]\n",
      "2 8 8 | 9 9 8 9 || [5, 6, 4, 8, 5, 8, 5, 7, 0]\n",
      "2 8 9 | 9 10 8 9 || [5, 6, 4, 8, 5, 8, 5, 7, 0, 0]\n",
      "4 0 0 | 0 3 1 3 || [4]\n",
      "4 0 1 | 1 3 1 3 || [4, 5]\n",
      "4 0 2 | 2 3 1 3 || [4, 5, 6]\n",
      "4 0 3 | 2 4 1 3 || [4, 5, 6, 8]\n",
      "4 4 4 | 5 6 5 7 || [4, 5, 6, 8, 5]\n",
      "4 4 5 | 5 7 5 7 || [4, 5, 6, 8, 5, 5]\n",
      "4 4 6 | 5 8 5 7 || [4, 5, 6, 8, 5, 5, 7]\n",
      "4 4 7 | 6 8 5 7 || [4, 5, 6, 8, 5, 5, 7, 8]\n",
      "4 8 8 | 9 10 9 9 || [4, 5, 6, 8, 5, 5, 7, 8, 0]\n",
      "4 8 9 | 10 10 9 9 || [4, 5, 6, 8, 5, 5, 7, 8, 0, 0]\n",
      "8 0 0 | 1 4 3 7 || [4]\n",
      "8 0 1 | 2 4 3 7 || [4, 5]\n",
      "8 0 2 | 2 5 3 7 || [4, 5, 5]\n",
      "8 0 3 | 2 6 3 7 || [4, 5, 5, 5]\n",
      "8 0 4 | 3 6 3 7 || [4, 5, 5, 5, 6]\n",
      "8 0 5 | 3 7 3 7 || [4, 5, 5, 5, 6, 7]\n",
      "8 0 6 | 4 7 3 7 || [4, 5, 5, 5, 6, 7, 8]\n",
      "8 0 7 | 4 8 3 7 || [4, 5, 5, 5, 6, 7, 8, 8]\n",
      "8 8 8 | 9 12 11 9 || [4, 5, 5, 5, 6, 7, 8, 8, 0]\n",
      "8 8 9 | 10 12 11 9 || [4, 5, 5, 5, 6, 7, 8, 8, 0, 0]\n",
      "16 0 0 | 0 9 7 9 || [0]\n",
      "16 0 1 | 0 10 7 9 || [0, 0]\n",
      "16 0 2 | 1 10 7 9 || [0, 0, 4]\n",
      "16 0 3 | 2 10 7 9 || [0, 0, 4, 5]\n",
      "16 0 4 | 3 10 7 9 || [0, 0, 4, 5, 5]\n",
      "16 0 5 | 4 10 7 9 || [0, 0, 4, 5, 5, 5]\n",
      "16 0 6 | 5 10 7 9 || [0, 0, 4, 5, 5, 5, 6]\n",
      "16 0 7 | 6 10 7 9 || [0, 0, 4, 5, 5, 5, 6, 7]\n",
      "16 0 8 | 7 10 7 9 || [0, 0, 4, 5, 5, 5, 6, 7, 8]\n",
      "16 0 9 | 8 10 7 9 || [0, 0, 4, 5, 5, 5, 6, 7, 8, 8]\n",
      "2 0 0 | 1 1 0 1 || [0]\n",
      "2 0 1 | 1 2 0 1 || [0, 3]\n",
      "2 2 2 | 2 4 2 3 || [0, 3, 4]\n",
      "2 2 3 | 3 4 2 3 || [0, 3, 4, 9]\n",
      "2 4 4 | 5 5 4 5 || [0, 3, 4, 9, 8]\n",
      "2 4 5 | 5 6 4 5 || [0, 3, 4, 9, 8, 9]\n",
      "2 6 6 | 7 7 6 7 || [0, 3, 4, 9, 8, 9, 9]\n",
      "2 6 7 | 7 8 6 7 || [0, 3, 4, 9, 8, 9, 9, 9]\n",
      "2 8 8 | 8 10 8 9 || [0, 3, 4, 9, 8, 9, 9, 9, 0]\n",
      "2 8 9 | 9 10 8 9 || [0, 3, 4, 9, 8, 9, 9, 9, 0, 1]\n",
      "4 0 0 | 1 2 1 3 || [0]\n",
      "4 0 1 | 2 2 1 3 || [0, 3]\n",
      "4 0 2 | 2 3 1 3 || [0, 3, 4]\n",
      "4 0 3 | 2 4 1 3 || [0, 3, 4, 9]\n",
      "4 4 4 | 5 6 5 7 || [0, 3, 4, 9, 8]\n",
      "4 4 5 | 6 6 5 7 || [0, 3, 4, 9, 8, 9]\n",
      "4 4 6 | 6 7 5 7 || [0, 3, 4, 9, 8, 9, 9]\n",
      "4 4 7 | 6 8 5 7 || [0, 3, 4, 9, 8, 9, 9, 9]\n",
      "4 8 8 | 9 10 9 9 || [0, 3, 4, 9, 8, 9, 9, 9, 0]\n",
      "4 8 9 | 10 10 9 9 || [0, 3, 4, 9, 8, 9, 9, 9, 0, 1]\n",
      "8 0 0 | 1 4 3 7 || [0]\n",
      "8 0 1 | 2 4 3 7 || [0, 3]\n",
      "8 0 2 | 3 4 3 7 || [0, 3, 4]\n",
      "8 0 3 | 3 5 3 7 || [0, 3, 4, 8]\n",
      "8 0 4 | 4 5 3 7 || [0, 3, 4, 8, 9]\n",
      "8 0 5 | 4 6 3 7 || [0, 3, 4, 8, 9, 9]\n",
      "8 0 6 | 4 7 3 7 || [0, 3, 4, 8, 9, 9, 9]\n",
      "8 0 7 | 4 8 3 7 || [0, 3, 4, 8, 9, 9, 9, 9]\n",
      "8 8 8 | 9 12 11 9 || [0, 3, 4, 8, 9, 9, 9, 9, 0]\n",
      "8 8 9 | 10 12 11 9 || [0, 3, 4, 8, 9, 9, 9, 9, 0, 1]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 1 9 7 9 || [0, 0]\n",
      "16 0 2 | 1 10 7 9 || [0, 0, 1]\n",
      "16 0 3 | 2 10 7 9 || [0, 0, 1, 3]\n",
      "16 0 4 | 3 10 7 9 || [0, 0, 1, 3, 4]\n",
      "16 0 5 | 4 10 7 9 || [0, 0, 1, 3, 4, 8]\n",
      "16 0 6 | 5 10 7 9 || [0, 0, 1, 3, 4, 8, 9]\n",
      "16 0 7 | 6 10 7 9 || [0, 0, 1, 3, 4, 8, 9, 9]\n",
      "16 0 8 | 7 10 7 9 || [0, 0, 1, 3, 4, 8, 9, 9, 9]\n",
      "16 0 9 | 8 10 7 9 || [0, 0, 1, 3, 4, 8, 9, 9, 9, 9]\n",
      "2 0 0 | 1 1 0 1 || [3]\n",
      "2 0 1 | 1 2 0 1 || [3, 7]\n",
      "2 2 2 | 3 3 2 3 || [3, 7, 3]\n",
      "2 2 3 | 3 4 2 3 || [3, 7, 3, 3]\n",
      "2 4 4 | 4 6 4 5 || [3, 7, 3, 3, 7]\n",
      "2 4 5 | 5 6 4 5 || [3, 7, 3, 3, 7, 9]\n",
      "2 6 6 | 7 7 6 7 || [3, 7, 3, 3, 7, 9, 4]\n",
      "2 6 7 | 7 8 6 7 || [3, 7, 3, 3, 7, 9, 4, 5]\n",
      "2 8 8 | 8 10 8 9 || [3, 7, 3, 3, 7, 9, 4, 5, 1]\n",
      "2 8 9 | 9 10 8 9 || [3, 7, 3, 3, 7, 9, 4, 5, 1, 2]\n",
      "4 0 0 | 1 2 1 3 || [3]\n",
      "4 0 1 | 1 3 1 3 || [3, 3]\n",
      "4 0 2 | 1 4 1 3 || [3, 3, 3]\n",
      "4 0 3 | 2 4 1 3 || [3, 3, 3, 7]\n",
      "4 4 4 | 4 7 5 7 || [3, 3, 3, 7, 4]\n",
      "4 4 5 | 4 8 5 7 || [3, 3, 3, 7, 4, 5]\n",
      "4 4 6 | 5 8 5 7 || [3, 3, 3, 7, 4, 5, 7]\n",
      "4 4 7 | 6 8 5 7 || [3, 3, 3, 7, 4, 5, 7, 9]\n",
      "4 8 8 | 9 10 9 9 || [3, 3, 3, 7, 4, 5, 7, 9, 1]\n",
      "4 8 9 | 10 10 9 9 || [3, 3, 3, 7, 4, 5, 7, 9, 1, 2]\n",
      "8 0 0 | 1 4 3 7 || [3]\n",
      "8 0 1 | 2 4 3 7 || [3, 3]\n",
      "8 0 2 | 3 4 3 7 || [3, 3, 3]\n",
      "8 0 3 | 3 5 3 7 || [3, 3, 3, 4]\n",
      "8 0 4 | 3 6 3 7 || [3, 3, 3, 4, 5]\n",
      "8 0 5 | 4 6 3 7 || [3, 3, 3, 4, 5, 7]\n",
      "8 0 6 | 4 7 3 7 || [3, 3, 3, 4, 5, 7, 7]\n",
      "8 0 7 | 4 8 3 7 || [3, 3, 3, 4, 5, 7, 7, 9]\n",
      "8 8 8 | 9 12 11 9 || [3, 3, 3, 4, 5, 7, 7, 9, 1]\n",
      "8 8 9 | 10 12 11 9 || [3, 3, 3, 4, 5, 7, 7, 9, 1, 2]\n",
      "16 0 0 | 0 9 7 9 || [1]\n",
      "16 0 1 | 0 10 7 9 || [1, 2]\n",
      "16 0 2 | 1 10 7 9 || [1, 2, 3]\n",
      "16 0 3 | 2 10 7 9 || [1, 2, 3, 3]\n",
      "16 0 4 | 3 10 7 9 || [1, 2, 3, 3, 3]\n",
      "16 0 5 | 4 10 7 9 || [1, 2, 3, 3, 3, 4]\n",
      "16 0 6 | 5 10 7 9 || [1, 2, 3, 3, 3, 4, 5]\n",
      "16 0 7 | 6 10 7 9 || [1, 2, 3, 3, 3, 4, 5, 7]\n",
      "16 0 8 | 7 10 7 9 || [1, 2, 3, 3, 3, 4, 5, 7, 7]\n",
      "16 0 9 | 8 10 7 9 || [1, 2, 3, 3, 3, 4, 5, 7, 7, 9]\n",
      "2 0 0 | 1 1 0 1 || [3]\n",
      "2 0 1 | 1 2 0 1 || [3, 7]\n",
      "2 2 2 | 2 4 2 3 || [3, 7, 7]\n",
      "2 2 3 | 3 4 2 3 || [3, 7, 7, 8]\n",
      "2 4 4 | 5 5 4 5 || [3, 7, 7, 8, 5]\n",
      "2 4 5 | 5 6 4 5 || [3, 7, 7, 8, 5, 5]\n",
      "2 6 6 | 7 7 6 7 || [3, 7, 7, 8, 5, 5, 1]\n",
      "2 6 7 | 7 8 6 7 || [3, 7, 7, 8, 5, 5, 1, 3]\n",
      "2 8 8 | 8 10 8 9 || [3, 7, 7, 8, 5, 5, 1, 3, 4]\n",
      "2 8 9 | 9 10 8 9 || [3, 7, 7, 8, 5, 5, 1, 3, 4, 9]\n",
      "4 0 0 | 1 2 1 3 || [3]\n",
      "4 0 1 | 2 2 1 3 || [3, 7]\n",
      "4 0 2 | 2 3 1 3 || [3, 7, 7]\n",
      "4 0 3 | 2 4 1 3 || [3, 7, 7, 8]\n",
      "4 4 4 | 4 7 5 7 || [3, 7, 7, 8, 1]\n",
      "4 4 5 | 4 8 5 7 || [3, 7, 7, 8, 1, 3]\n",
      "4 4 6 | 5 8 5 7 || [3, 7, 7, 8, 1, 3, 5]\n",
      "4 4 7 | 6 8 5 7 || [3, 7, 7, 8, 1, 3, 5, 5]\n",
      "4 8 8 | 9 10 9 9 || [3, 7, 7, 8, 1, 3, 5, 5, 4]\n",
      "4 8 9 | 10 10 9 9 || [3, 7, 7, 8, 1, 3, 5, 5, 4, 9]\n",
      "8 0 0 | 0 5 3 7 || [1]\n",
      "8 0 1 | 1 5 3 7 || [1, 3]\n",
      "8 0 2 | 1 6 3 7 || [1, 3, 3]\n",
      "8 0 3 | 1 7 3 7 || [1, 3, 3, 5]\n",
      "8 0 4 | 1 8 3 7 || [1, 3, 3, 5, 5]\n",
      "8 0 5 | 2 8 3 7 || [1, 3, 3, 5, 5, 7]\n",
      "8 0 6 | 3 8 3 7 || [1, 3, 3, 5, 5, 7, 7]\n",
      "8 0 7 | 4 8 3 7 || [1, 3, 3, 5, 5, 7, 7, 8]\n",
      "8 8 8 | 9 12 11 9 || [1, 3, 3, 5, 5, 7, 7, 8, 4]\n",
      "8 8 9 | 10 12 11 9 || [1, 3, 3, 5, 5, 7, 7, 8, 4, 9]\n",
      "16 0 0 | 1 8 7 9 || [1]\n",
      "16 0 1 | 2 8 7 9 || [1, 3]\n",
      "16 0 2 | 3 8 7 9 || [1, 3, 3]\n",
      "16 0 3 | 3 9 7 9 || [1, 3, 3, 4]\n",
      "16 0 4 | 4 9 7 9 || [1, 3, 3, 4, 5]\n",
      "16 0 5 | 5 9 7 9 || [1, 3, 3, 4, 5, 5]\n",
      "16 0 6 | 6 9 7 9 || [1, 3, 3, 4, 5, 5, 7]\n",
      "16 0 7 | 7 9 7 9 || [1, 3, 3, 4, 5, 5, 7, 7]\n",
      "16 0 8 | 8 9 7 9 || [1, 3, 3, 4, 5, 5, 7, 7, 8]\n",
      "16 0 9 | 8 10 7 9 || [1, 3, 3, 4, 5, 5, 7, 7, 8, 9]\n",
      "2 0 0 | 1 1 0 1 || [1]\n",
      "2 0 1 | 1 2 0 1 || [1, 4]\n",
      "2 2 2 | 2 4 2 3 || [1, 4, 1]\n",
      "2 2 3 | 3 4 2 3 || [1, 4, 1, 5]\n",
      "2 4 4 | 5 5 4 5 || [1, 4, 1, 5, 0]\n",
      "2 4 5 | 5 6 4 5 || [1, 4, 1, 5, 0, 1]\n",
      "2 6 6 | 7 7 6 7 || [1, 4, 1, 5, 0, 1, 3]\n",
      "2 6 7 | 7 8 6 7 || [1, 4, 1, 5, 0, 1, 3, 4]\n",
      "2 8 8 | 8 10 8 9 || [1, 4, 1, 5, 0, 1, 3, 4, 0]\n",
      "2 8 9 | 9 10 8 9 || [1, 4, 1, 5, 0, 1, 3, 4, 0, 8]\n",
      "4 0 0 | 1 2 1 3 || [1]\n",
      "4 0 1 | 1 3 1 3 || [1, 1]\n",
      "4 0 2 | 2 3 1 3 || [1, 1, 4]\n",
      "4 0 3 | 2 4 1 3 || [1, 1, 4, 5]\n",
      "4 4 4 | 5 6 5 7 || [1, 1, 4, 5, 0]\n",
      "4 4 5 | 6 6 5 7 || [1, 1, 4, 5, 0, 1]\n",
      "4 4 6 | 6 7 5 7 || [1, 1, 4, 5, 0, 1, 3]\n",
      "4 4 7 | 6 8 5 7 || [1, 1, 4, 5, 0, 1, 3, 4]\n",
      "4 8 8 | 9 10 9 9 || [1, 1, 4, 5, 0, 1, 3, 4, 0]\n",
      "4 8 9 | 10 10 9 9 || [1, 1, 4, 5, 0, 1, 3, 4, 0, 8]\n",
      "8 0 0 | 0 5 3 7 || [0]\n",
      "8 0 1 | 1 5 3 7 || [0, 1]\n",
      "8 0 2 | 2 5 3 7 || [0, 1, 1]\n",
      "8 0 3 | 2 6 3 7 || [0, 1, 1, 1]\n",
      "8 0 4 | 2 7 3 7 || [0, 1, 1, 1, 3]\n",
      "8 0 5 | 3 7 3 7 || [0, 1, 1, 1, 3, 4]\n",
      "8 0 6 | 3 8 3 7 || [0, 1, 1, 1, 3, 4, 4]\n",
      "8 0 7 | 4 8 3 7 || [0, 1, 1, 1, 3, 4, 4, 5]\n",
      "8 8 8 | 9 12 11 9 || [0, 1, 1, 1, 3, 4, 4, 5, 0]\n",
      "8 8 9 | 10 12 11 9 || [0, 1, 1, 1, 3, 4, 4, 5, 0, 8]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 1 9 7 9 || [0, 0]\n",
      "16 0 2 | 2 9 7 9 || [0, 0, 1]\n",
      "16 0 3 | 3 9 7 9 || [0, 0, 1, 1]\n",
      "16 0 4 | 4 9 7 9 || [0, 0, 1, 1, 1]\n",
      "16 0 5 | 5 9 7 9 || [0, 0, 1, 1, 1, 3]\n",
      "16 0 6 | 6 9 7 9 || [0, 0, 1, 1, 1, 3, 4]\n",
      "16 0 7 | 7 9 7 9 || [0, 0, 1, 1, 1, 3, 4, 4]\n",
      "16 0 8 | 8 9 7 9 || [0, 0, 1, 1, 1, 3, 4, 4, 5]\n",
      "16 0 9 | 8 10 7 9 || [0, 0, 1, 1, 1, 3, 4, 4, 5, 8]\n",
      "2 0 0 | 1 1 0 1 || [4]\n",
      "2 0 1 | 1 2 0 1 || [4, 9]\n",
      "2 2 2 | 2 4 2 3 || [4, 9, 1]\n",
      "2 2 3 | 3 4 2 3 || [4, 9, 1, 7]\n",
      "2 4 4 | 5 5 4 5 || [4, 9, 1, 7, 4]\n",
      "2 4 5 | 5 6 4 5 || [4, 9, 1, 7, 4, 7]\n",
      "2 6 6 | 6 8 6 7 || [4, 9, 1, 7, 4, 7, 3]\n",
      "2 6 7 | 7 8 6 7 || [4, 9, 1, 7, 4, 7, 3, 4]\n",
      "2 8 8 | 9 9 8 9 || [4, 9, 1, 7, 4, 7, 3, 4, 1]\n",
      "2 8 9 | 9 10 8 9 || [4, 9, 1, 7, 4, 7, 3, 4, 1, 8]\n",
      "4 0 0 | 0 3 1 3 || [1]\n",
      "4 0 1 | 1 3 1 3 || [1, 4]\n",
      "4 0 2 | 1 4 1 3 || [1, 4, 7]\n",
      "4 0 3 | 2 4 1 3 || [1, 4, 7, 9]\n",
      "4 4 4 | 4 7 5 7 || [1, 4, 7, 9, 3]\n",
      "4 4 5 | 5 7 5 7 || [1, 4, 7, 9, 3, 4]\n",
      "4 4 6 | 5 8 5 7 || [1, 4, 7, 9, 3, 4, 4]\n",
      "4 4 7 | 6 8 5 7 || [1, 4, 7, 9, 3, 4, 4, 7]\n",
      "4 8 8 | 9 10 9 9 || [1, 4, 7, 9, 3, 4, 4, 7, 1]\n",
      "4 8 9 | 10 10 9 9 || [1, 4, 7, 9, 3, 4, 4, 7, 1, 8]\n",
      "8 0 0 | 1 4 3 7 || [1]\n",
      "8 0 1 | 1 5 3 7 || [1, 3]\n",
      "8 0 2 | 2 5 3 7 || [1, 3, 4]\n",
      "8 0 3 | 2 6 3 7 || [1, 3, 4, 4]\n",
      "8 0 4 | 2 7 3 7 || [1, 3, 4, 4, 4]\n",
      "8 0 5 | 3 7 3 7 || [1, 3, 4, 4, 4, 7]\n",
      "8 0 6 | 3 8 3 7 || [1, 3, 4, 4, 4, 7, 7]\n",
      "8 0 7 | 4 8 3 7 || [1, 3, 4, 4, 4, 7, 7, 9]\n",
      "8 8 8 | 9 12 11 9 || [1, 3, 4, 4, 4, 7, 7, 9, 1]\n",
      "8 8 9 | 10 12 11 9 || [1, 3, 4, 4, 4, 7, 7, 9, 1, 8]\n",
      "16 0 0 | 1 8 7 9 || [1]\n",
      "16 0 1 | 1 9 7 9 || [1, 1]\n",
      "16 0 2 | 2 9 7 9 || [1, 1, 3]\n",
      "16 0 3 | 3 9 7 9 || [1, 1, 3, 4]\n",
      "16 0 4 | 4 9 7 9 || [1, 1, 3, 4, 4]\n",
      "16 0 5 | 5 9 7 9 || [1, 1, 3, 4, 4, 4]\n",
      "16 0 6 | 6 9 7 9 || [1, 1, 3, 4, 4, 4, 7]\n",
      "16 0 7 | 7 9 7 9 || [1, 1, 3, 4, 4, 4, 7, 7]\n",
      "16 0 8 | 7 10 7 9 || [1, 1, 3, 4, 4, 4, 7, 7, 8]\n",
      "16 0 9 | 8 10 7 9 || [1, 1, 3, 4, 4, 4, 7, 7, 8, 9]\n",
      "2 0 0 | 1 1 0 1 || [0]\n",
      "2 0 1 | 1 2 0 1 || [0, 0]\n",
      "2 2 2 | 3 3 2 3 || [0, 0, 0]\n",
      "2 2 3 | 3 4 2 3 || [0, 0, 0, 6]\n",
      "2 4 4 | 4 6 4 5 || [0, 0, 0, 6, 0]\n",
      "2 4 5 | 5 6 4 5 || [0, 0, 0, 6, 0, 4]\n",
      "2 6 6 | 6 8 6 7 || [0, 0, 0, 6, 0, 4, 3]\n",
      "2 6 7 | 7 8 6 7 || [0, 0, 0, 6, 0, 4, 3, 5]\n",
      "2 8 8 | 8 10 8 9 || [0, 0, 0, 6, 0, 4, 3, 5, 2]\n",
      "2 8 9 | 9 10 8 9 || [0, 0, 0, 6, 0, 4, 3, 5, 2, 9]\n",
      "4 0 0 | 1 2 1 3 || [0]\n",
      "4 0 1 | 2 2 1 3 || [0, 0]\n",
      "4 0 2 | 2 3 1 3 || [0, 0, 0]\n",
      "4 0 3 | 2 4 1 3 || [0, 0, 0, 6]\n",
      "4 4 4 | 5 6 5 7 || [0, 0, 0, 6, 0]\n",
      "4 4 5 | 5 7 5 7 || [0, 0, 0, 6, 0, 3]\n",
      "4 4 6 | 6 7 5 7 || [0, 0, 0, 6, 0, 3, 4]\n",
      "4 4 7 | 6 8 5 7 || [0, 0, 0, 6, 0, 3, 4, 5]\n",
      "4 8 8 | 9 10 9 9 || [0, 0, 0, 6, 0, 3, 4, 5, 2]\n",
      "4 8 9 | 10 10 9 9 || [0, 0, 0, 6, 0, 3, 4, 5, 2, 9]\n",
      "8 0 0 | 1 4 3 7 || [0]\n",
      "8 0 1 | 2 4 3 7 || [0, 0]\n",
      "8 0 2 | 3 4 3 7 || [0, 0, 0]\n",
      "8 0 3 | 3 5 3 7 || [0, 0, 0, 0]\n",
      "8 0 4 | 3 6 3 7 || [0, 0, 0, 0, 3]\n",
      "8 0 5 | 3 7 3 7 || [0, 0, 0, 0, 3, 4]\n",
      "8 0 6 | 3 8 3 7 || [0, 0, 0, 0, 3, 4, 5]\n",
      "8 0 7 | 4 8 3 7 || [0, 0, 0, 0, 3, 4, 5, 6]\n",
      "8 8 8 | 9 12 11 9 || [0, 0, 0, 0, 3, 4, 5, 6, 2]\n",
      "8 8 9 | 10 12 11 9 || [0, 0, 0, 0, 3, 4, 5, 6, 2, 9]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 2 8 7 9 || [0, 0]\n",
      "16 0 2 | 3 8 7 9 || [0, 0, 0]\n",
      "16 0 3 | 4 8 7 9 || [0, 0, 0, 0]\n",
      "16 0 4 | 4 9 7 9 || [0, 0, 0, 0, 2]\n",
      "16 0 5 | 5 9 7 9 || [0, 0, 0, 0, 2, 3]\n",
      "16 0 6 | 6 9 7 9 || [0, 0, 0, 0, 2, 3, 4]\n",
      "16 0 7 | 7 9 7 9 || [0, 0, 0, 0, 2, 3, 4, 5]\n",
      "16 0 8 | 8 9 7 9 || [0, 0, 0, 0, 2, 3, 4, 5, 6]\n",
      "16 0 9 | 8 10 7 9 || [0, 0, 0, 0, 2, 3, 4, 5, 6, 9]\n",
      "2 0 0 | 0 2 0 1 || [1]\n",
      "2 0 1 | 1 2 0 1 || [1, 7]\n",
      "2 2 2 | 2 4 2 3 || [1, 7, 0]\n",
      "2 2 3 | 3 4 2 3 || [1, 7, 0, 6]\n",
      "2 4 4 | 5 5 4 5 || [1, 7, 0, 6, 2]\n",
      "2 4 5 | 5 6 4 5 || [1, 7, 0, 6, 2, 4]\n",
      "2 6 6 | 6 8 6 7 || [1, 7, 0, 6, 2, 4, 6]\n",
      "2 6 7 | 7 8 6 7 || [1, 7, 0, 6, 2, 4, 6, 8]\n",
      "2 8 8 | 9 9 8 9 || [1, 7, 0, 6, 2, 4, 6, 8, 6]\n",
      "2 8 9 | 9 10 8 9 || [1, 7, 0, 6, 2, 4, 6, 8, 6, 8]\n",
      "4 0 0 | 0 3 1 3 || [0]\n",
      "4 0 1 | 1 3 1 3 || [0, 1]\n",
      "4 0 2 | 1 4 1 3 || [0, 1, 6]\n",
      "4 0 3 | 2 4 1 3 || [0, 1, 6, 7]\n",
      "4 4 4 | 5 6 5 7 || [0, 1, 6, 7, 2]\n",
      "4 4 5 | 6 6 5 7 || [0, 1, 6, 7, 2, 4]\n",
      "4 4 6 | 6 7 5 7 || [0, 1, 6, 7, 2, 4, 6]\n",
      "4 4 7 | 6 8 5 7 || [0, 1, 6, 7, 2, 4, 6, 8]\n",
      "4 8 8 | 9 10 9 9 || [0, 1, 6, 7, 2, 4, 6, 8, 6]\n",
      "4 8 9 | 10 10 9 9 || [0, 1, 6, 7, 2, 4, 6, 8, 6, 8]\n",
      "8 0 0 | 1 4 3 7 || [0]\n",
      "8 0 1 | 2 4 3 7 || [0, 1]\n",
      "8 0 2 | 2 5 3 7 || [0, 1, 2]\n",
      "8 0 3 | 2 6 3 7 || [0, 1, 2, 4]\n",
      "8 0 4 | 3 6 3 7 || [0, 1, 2, 4, 6]\n",
      "8 0 5 | 3 7 3 7 || [0, 1, 2, 4, 6, 6]\n",
      "8 0 6 | 4 7 3 7 || [0, 1, 2, 4, 6, 6, 7]\n",
      "8 0 7 | 4 8 3 7 || [0, 1, 2, 4, 6, 6, 7, 8]\n",
      "8 8 8 | 9 12 11 9 || [0, 1, 2, 4, 6, 6, 7, 8, 6]\n",
      "8 8 9 | 10 12 11 9 || [0, 1, 2, 4, 6, 6, 7, 8, 6, 8]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 2 8 7 9 || [0, 1]\n",
      "16 0 2 | 3 8 7 9 || [0, 1, 2]\n",
      "16 0 3 | 4 8 7 9 || [0, 1, 2, 4]\n",
      "16 0 4 | 5 8 7 9 || [0, 1, 2, 4, 6]\n",
      "16 0 5 | 6 8 7 9 || [0, 1, 2, 4, 6, 6]\n",
      "16 0 6 | 6 9 7 9 || [0, 1, 2, 4, 6, 6, 6]\n",
      "16 0 7 | 7 9 7 9 || [0, 1, 2, 4, 6, 6, 6, 7]\n",
      "16 0 8 | 8 9 7 9 || [0, 1, 2, 4, 6, 6, 6, 7, 8]\n",
      "16 0 9 | 8 10 7 9 || [0, 1, 2, 4, 6, 6, 6, 7, 8, 8]\n",
      "2 0 0 | 0 2 0 1 || [1]\n",
      "2 0 1 | 1 2 0 1 || [1, 7]\n",
      "2 2 2 | 3 3 2 3 || [1, 7, 1]\n",
      "2 2 3 | 3 4 2 3 || [1, 7, 1, 1]\n",
      "2 4 4 | 5 5 4 5 || [1, 7, 1, 1, 6]\n",
      "2 4 5 | 5 6 4 5 || [1, 7, 1, 1, 6, 6]\n",
      "2 6 6 | 7 7 6 7 || [1, 7, 1, 1, 6, 6, 2]\n",
      "2 6 7 | 7 8 6 7 || [1, 7, 1, 1, 6, 6, 2, 9]\n",
      "2 8 8 | 8 10 8 9 || [1, 7, 1, 1, 6, 6, 2, 9, 1]\n",
      "2 8 9 | 9 10 8 9 || [1, 7, 1, 1, 6, 6, 2, 9, 1, 4]\n",
      "4 0 0 | 1 2 1 3 || [1]\n",
      "4 0 1 | 1 3 1 3 || [1, 1]\n",
      "4 0 2 | 1 4 1 3 || [1, 1, 1]\n",
      "4 0 3 | 2 4 1 3 || [1, 1, 1, 7]\n",
      "4 4 4 | 4 7 5 7 || [1, 1, 1, 7, 2]\n",
      "4 4 5 | 5 7 5 7 || [1, 1, 1, 7, 2, 6]\n",
      "4 4 6 | 6 7 5 7 || [1, 1, 1, 7, 2, 6, 6]\n",
      "4 4 7 | 6 8 5 7 || [1, 1, 1, 7, 2, 6, 6, 9]\n",
      "4 8 8 | 9 10 9 9 || [1, 1, 1, 7, 2, 6, 6, 9, 1]\n",
      "4 8 9 | 10 10 9 9 || [1, 1, 1, 7, 2, 6, 6, 9, 1, 4]\n",
      "8 0 0 | 1 4 3 7 || [1]\n",
      "8 0 1 | 2 4 3 7 || [1, 1]\n",
      "8 0 2 | 3 4 3 7 || [1, 1, 1]\n",
      "8 0 3 | 3 5 3 7 || [1, 1, 1, 2]\n",
      "8 0 4 | 3 6 3 7 || [1, 1, 1, 2, 6]\n",
      "8 0 5 | 3 7 3 7 || [1, 1, 1, 2, 6, 6]\n",
      "8 0 6 | 4 7 3 7 || [1, 1, 1, 2, 6, 6, 7]\n",
      "8 0 7 | 4 8 3 7 || [1, 1, 1, 2, 6, 6, 7, 9]\n",
      "8 8 8 | 9 12 11 9 || [1, 1, 1, 2, 6, 6, 7, 9, 1]\n",
      "8 8 9 | 10 12 11 9 || [1, 1, 1, 2, 6, 6, 7, 9, 1, 4]\n",
      "16 0 0 | 1 8 7 9 || [1]\n",
      "16 0 1 | 2 8 7 9 || [1, 1]\n",
      "16 0 2 | 3 8 7 9 || [1, 1, 1]\n",
      "16 0 3 | 3 9 7 9 || [1, 1, 1, 1]\n",
      "16 0 4 | 4 9 7 9 || [1, 1, 1, 1, 2]\n",
      "16 0 5 | 4 10 7 9 || [1, 1, 1, 1, 2, 4]\n",
      "16 0 6 | 5 10 7 9 || [1, 1, 1, 1, 2, 4, 6]\n",
      "16 0 7 | 6 10 7 9 || [1, 1, 1, 1, 2, 4, 6, 6]\n",
      "16 0 8 | 7 10 7 9 || [1, 1, 1, 1, 2, 4, 6, 6, 7]\n",
      "16 0 9 | 8 10 7 9 || [1, 1, 1, 1, 2, 4, 6, 6, 7, 9]\n",
      "2 0 0 | 0 2 0 1 || [4]\n",
      "2 0 1 | 1 2 0 1 || [4, 5]\n",
      "2 2 2 | 3 3 2 3 || [4, 5, 5]\n",
      "2 2 3 | 3 4 2 3 || [4, 5, 5, 7]\n",
      "2 4 4 | 5 5 4 5 || [4, 5, 5, 7, 4]\n",
      "2 4 5 | 5 6 4 5 || [4, 5, 5, 7, 4, 4]\n",
      "2 6 6 | 6 8 6 7 || [4, 5, 5, 7, 4, 4, 0]\n",
      "2 6 7 | 7 8 6 7 || [4, 5, 5, 7, 4, 4, 0, 7]\n",
      "2 8 8 | 9 9 8 9 || [4, 5, 5, 7, 4, 4, 0, 7, 1]\n",
      "2 8 9 | 9 10 8 9 || [4, 5, 5, 7, 4, 4, 0, 7, 1, 4]\n",
      "4 0 0 | 1 2 1 3 || [4]\n",
      "4 0 1 | 2 2 1 3 || [4, 5]\n",
      "4 0 2 | 2 3 1 3 || [4, 5, 5]\n",
      "4 0 3 | 2 4 1 3 || [4, 5, 5, 7]\n",
      "4 4 4 | 4 7 5 7 || [4, 5, 5, 7, 0]\n",
      "4 4 5 | 5 7 5 7 || [4, 5, 5, 7, 0, 4]\n",
      "4 4 6 | 6 7 5 7 || [4, 5, 5, 7, 0, 4, 4]\n",
      "4 4 7 | 6 8 5 7 || [4, 5, 5, 7, 0, 4, 4, 7]\n",
      "4 8 8 | 9 10 9 9 || [4, 5, 5, 7, 0, 4, 4, 7, 1]\n",
      "4 8 9 | 10 10 9 9 || [4, 5, 5, 7, 0, 4, 4, 7, 1, 4]\n",
      "8 0 0 | 0 5 3 7 || [0]\n",
      "8 0 1 | 1 5 3 7 || [0, 4]\n",
      "8 0 2 | 1 6 3 7 || [0, 4, 4]\n",
      "8 0 3 | 1 7 3 7 || [0, 4, 4, 4]\n",
      "8 0 4 | 2 7 3 7 || [0, 4, 4, 4, 5]\n",
      "8 0 5 | 3 7 3 7 || [0, 4, 4, 4, 5, 5]\n",
      "8 0 6 | 4 7 3 7 || [0, 4, 4, 4, 5, 5, 7]\n",
      "8 0 7 | 4 8 3 7 || [0, 4, 4, 4, 5, 5, 7, 7]\n",
      "8 8 8 | 9 12 11 9 || [0, 4, 4, 4, 5, 5, 7, 7, 1]\n",
      "8 8 9 | 10 12 11 9 || [0, 4, 4, 4, 5, 5, 7, 7, 1, 4]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 1 9 7 9 || [0, 1]\n",
      "16 0 2 | 2 9 7 9 || [0, 1, 4]\n",
      "16 0 3 | 3 9 7 9 || [0, 1, 4, 4]\n",
      "16 0 4 | 4 9 7 9 || [0, 1, 4, 4, 4]\n",
      "16 0 5 | 4 10 7 9 || [0, 1, 4, 4, 4, 4]\n",
      "16 0 6 | 5 10 7 9 || [0, 1, 4, 4, 4, 4, 5]\n",
      "16 0 7 | 6 10 7 9 || [0, 1, 4, 4, 4, 4, 5, 5]\n",
      "16 0 8 | 7 10 7 9 || [0, 1, 4, 4, 4, 4, 5, 5, 7]\n",
      "16 0 9 | 8 10 7 9 || [0, 1, 4, 4, 4, 4, 5, 5, 7, 7]\n",
      "2 0 0 | 0 2 0 1 || [5]\n",
      "2 0 1 | 1 2 0 1 || [5, 9]\n",
      "2 2 2 | 2 4 2 3 || [5, 9, 1]\n",
      "2 2 3 | 3 4 2 3 || [5, 9, 1, 3]\n",
      "2 4 4 | 4 6 4 5 || [5, 9, 1, 3, 4]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2 4 5 | 5 6 4 5 || [5, 9, 1, 3, 4, 8]\n",
      "2 6 6 | 7 7 6 7 || [5, 9, 1, 3, 4, 8, 0]\n",
      "2 6 7 | 7 8 6 7 || [5, 9, 1, 3, 4, 8, 0, 4]\n",
      "2 8 8 | 9 9 8 9 || [5, 9, 1, 3, 4, 8, 0, 4, 1]\n",
      "2 8 9 | 9 10 8 9 || [5, 9, 1, 3, 4, 8, 0, 4, 1, 7]\n",
      "4 0 0 | 0 3 1 3 || [1]\n",
      "4 0 1 | 0 4 1 3 || [1, 3]\n",
      "4 0 2 | 1 4 1 3 || [1, 3, 5]\n",
      "4 0 3 | 2 4 1 3 || [1, 3, 5, 9]\n",
      "4 4 4 | 4 7 5 7 || [1, 3, 5, 9, 0]\n",
      "4 4 5 | 5 7 5 7 || [1, 3, 5, 9, 0, 4]\n",
      "4 4 6 | 5 8 5 7 || [1, 3, 5, 9, 0, 4, 4]\n",
      "4 4 7 | 6 8 5 7 || [1, 3, 5, 9, 0, 4, 4, 8]\n",
      "4 8 8 | 9 10 9 9 || [1, 3, 5, 9, 0, 4, 4, 8, 1]\n",
      "4 8 9 | 10 10 9 9 || [1, 3, 5, 9, 0, 4, 4, 8, 1, 7]\n",
      "8 0 0 | 0 5 3 7 || [0]\n",
      "8 0 1 | 1 5 3 7 || [0, 1]\n",
      "8 0 2 | 2 5 3 7 || [0, 1, 3]\n",
      "8 0 3 | 2 6 3 7 || [0, 1, 3, 4]\n",
      "8 0 4 | 2 7 3 7 || [0, 1, 3, 4, 4]\n",
      "8 0 5 | 3 7 3 7 || [0, 1, 3, 4, 4, 5]\n",
      "8 0 6 | 3 8 3 7 || [0, 1, 3, 4, 4, 5, 8]\n",
      "8 0 7 | 4 8 3 7 || [0, 1, 3, 4, 4, 5, 8, 9]\n",
      "8 8 8 | 9 12 11 9 || [0, 1, 3, 4, 4, 5, 8, 9, 1]\n",
      "8 8 9 | 10 12 11 9 || [0, 1, 3, 4, 4, 5, 8, 9, 1, 7]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 2 8 7 9 || [0, 1]\n",
      "16 0 2 | 2 9 7 9 || [0, 1, 1]\n",
      "16 0 3 | 3 9 7 9 || [0, 1, 1, 3]\n",
      "16 0 4 | 4 9 7 9 || [0, 1, 1, 3, 4]\n",
      "16 0 5 | 5 9 7 9 || [0, 1, 1, 3, 4, 4]\n",
      "16 0 6 | 6 9 7 9 || [0, 1, 1, 3, 4, 4, 5]\n",
      "16 0 7 | 6 10 7 9 || [0, 1, 1, 3, 4, 4, 5, 7]\n",
      "16 0 8 | 7 10 7 9 || [0, 1, 1, 3, 4, 4, 5, 7, 8]\n",
      "16 0 9 | 8 10 7 9 || [0, 1, 1, 3, 4, 4, 5, 7, 8, 9]\n",
      "2 0 0 | 1 1 0 1 || [6]\n",
      "2 0 1 | 1 2 0 1 || [6, 7]\n",
      "2 2 2 | 2 4 2 3 || [6, 7, 1]\n",
      "2 2 3 | 3 4 2 3 || [6, 7, 1, 7]\n",
      "2 4 4 | 4 6 4 5 || [6, 7, 1, 7, 3]\n",
      "2 4 5 | 5 6 4 5 || [6, 7, 1, 7, 3, 8]\n",
      "2 6 6 | 7 7 6 7 || [6, 7, 1, 7, 3, 8, 2]\n",
      "2 6 7 | 7 8 6 7 || [6, 7, 1, 7, 3, 8, 2, 3]\n",
      "2 8 8 | 9 9 8 9 || [6, 7, 1, 7, 3, 8, 2, 3, 0]\n",
      "2 8 9 | 9 10 8 9 || [6, 7, 1, 7, 3, 8, 2, 3, 0, 6]\n",
      "4 0 0 | 0 3 1 3 || [1]\n",
      "4 0 1 | 1 3 1 3 || [1, 6]\n",
      "4 0 2 | 2 3 1 3 || [1, 6, 7]\n",
      "4 0 3 | 2 4 1 3 || [1, 6, 7, 7]\n",
      "4 4 4 | 4 7 5 7 || [1, 6, 7, 7, 2]\n",
      "4 4 5 | 5 7 5 7 || [1, 6, 7, 7, 2, 3]\n",
      "4 4 6 | 5 8 5 7 || [1, 6, 7, 7, 2, 3, 3]\n",
      "4 4 7 | 6 8 5 7 || [1, 6, 7, 7, 2, 3, 3, 8]\n",
      "4 8 8 | 9 10 9 9 || [1, 6, 7, 7, 2, 3, 3, 8, 0]\n",
      "4 8 9 | 10 10 9 9 || [1, 6, 7, 7, 2, 3, 3, 8, 0, 6]\n",
      "8 0 0 | 1 4 3 7 || [1]\n",
      "8 0 1 | 1 5 3 7 || [1, 2]\n",
      "8 0 2 | 1 6 3 7 || [1, 2, 3]\n",
      "8 0 3 | 1 7 3 7 || [1, 2, 3, 3]\n",
      "8 0 4 | 2 7 3 7 || [1, 2, 3, 3, 6]\n",
      "8 0 5 | 3 7 3 7 || [1, 2, 3, 3, 6, 7]\n",
      "8 0 6 | 4 7 3 7 || [1, 2, 3, 3, 6, 7, 7]\n",
      "8 0 7 | 4 8 3 7 || [1, 2, 3, 3, 6, 7, 7, 8]\n",
      "8 8 8 | 9 12 11 9 || [1, 2, 3, 3, 6, 7, 7, 8, 0]\n",
      "8 8 9 | 10 12 11 9 || [1, 2, 3, 3, 6, 7, 7, 8, 0, 6]\n",
      "16 0 0 | 0 9 7 9 || [0]\n",
      "16 0 1 | 1 9 7 9 || [0, 1]\n",
      "16 0 2 | 2 9 7 9 || [0, 1, 2]\n",
      "16 0 3 | 3 9 7 9 || [0, 1, 2, 3]\n",
      "16 0 4 | 4 9 7 9 || [0, 1, 2, 3, 3]\n",
      "16 0 5 | 5 9 7 9 || [0, 1, 2, 3, 3, 6]\n",
      "16 0 6 | 5 10 7 9 || [0, 1, 2, 3, 3, 6, 6]\n",
      "16 0 7 | 6 10 7 9 || [0, 1, 2, 3, 3, 6, 6, 7]\n",
      "16 0 8 | 7 10 7 9 || [0, 1, 2, 3, 3, 6, 6, 7, 7]\n",
      "16 0 9 | 8 10 7 9 || [0, 1, 2, 3, 3, 6, 6, 7, 7, 8]\n",
      "2 0 0 | 1 1 0 1 || [5]\n",
      "2 0 1 | 1 2 0 1 || [5, 8]\n",
      "2 2 2 | 3 3 2 3 || [5, 8, 3]\n",
      "2 2 3 | 3 4 2 3 || [5, 8, 3, 8]\n",
      "2 4 4 | 5 5 4 5 || [5, 8, 3, 8, 0]\n",
      "2 4 5 | 5 6 4 5 || [5, 8, 3, 8, 0, 7]\n",
      "2 6 6 | 6 8 6 7 || [5, 8, 3, 8, 0, 7, 6]\n",
      "2 6 7 | 7 8 6 7 || [5, 8, 3, 8, 0, 7, 6, 7]\n",
      "2 8 8 | 9 9 8 9 || [5, 8, 3, 8, 0, 7, 6, 7, 0]\n",
      "2 8 9 | 9 10 8 9 || [5, 8, 3, 8, 0, 7, 6, 7, 0, 2]\n",
      "4 0 0 | 0 3 1 3 || [3]\n",
      "4 0 1 | 1 3 1 3 || [3, 5]\n",
      "4 0 2 | 2 3 1 3 || [3, 5, 8]\n",
      "4 0 3 | 2 4 1 3 || [3, 5, 8, 8]\n",
      "4 4 4 | 5 6 5 7 || [3, 5, 8, 8, 0]\n",
      "4 4 5 | 5 7 5 7 || [3, 5, 8, 8, 0, 6]\n",
      "4 4 6 | 6 7 5 7 || [3, 5, 8, 8, 0, 6, 7]\n",
      "4 4 7 | 6 8 5 7 || [3, 5, 8, 8, 0, 6, 7, 7]\n",
      "4 8 8 | 9 10 9 9 || [3, 5, 8, 8, 0, 6, 7, 7, 0]\n",
      "4 8 9 | 10 10 9 9 || [3, 5, 8, 8, 0, 6, 7, 7, 0, 2]\n",
      "8 0 0 | 0 5 3 7 || [0]\n",
      "8 0 1 | 1 5 3 7 || [0, 3]\n",
      "8 0 2 | 2 5 3 7 || [0, 3, 5]\n",
      "8 0 3 | 2 6 3 7 || [0, 3, 5, 6]\n",
      "8 0 4 | 2 7 3 7 || [0, 3, 5, 6, 7]\n",
      "8 0 5 | 2 8 3 7 || [0, 3, 5, 6, 7, 7]\n",
      "8 0 6 | 3 8 3 7 || [0, 3, 5, 6, 7, 7, 8]\n",
      "8 0 7 | 4 8 3 7 || [0, 3, 5, 6, 7, 7, 8, 8]\n",
      "8 8 8 | 9 12 11 9 || [0, 3, 5, 6, 7, 7, 8, 8, 0]\n",
      "8 8 9 | 10 12 11 9 || [0, 3, 5, 6, 7, 7, 8, 8, 0, 2]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 1 9 7 9 || [0, 0]\n",
      "16 0 2 | 1 10 7 9 || [0, 0, 2]\n",
      "16 0 3 | 2 10 7 9 || [0, 0, 2, 3]\n",
      "16 0 4 | 3 10 7 9 || [0, 0, 2, 3, 5]\n",
      "16 0 5 | 4 10 7 9 || [0, 0, 2, 3, 5, 6]\n",
      "16 0 6 | 5 10 7 9 || [0, 0, 2, 3, 5, 6, 7]\n",
      "16 0 7 | 6 10 7 9 || [0, 0, 2, 3, 5, 6, 7, 7]\n",
      "16 0 8 | 7 10 7 9 || [0, 0, 2, 3, 5, 6, 7, 7, 8]\n",
      "16 0 9 | 8 10 7 9 || [0, 0, 2, 3, 5, 6, 7, 7, 8, 8]\n",
      "2 0 0 | 0 2 0 1 || [4]\n",
      "2 0 1 | 1 2 0 1 || [4, 9]\n",
      "2 2 2 | 3 3 2 3 || [4, 9, 2]\n",
      "2 2 3 | 3 4 2 3 || [4, 9, 2, 8]\n",
      "2 4 4 | 5 5 4 5 || [4, 9, 2, 8, 0]\n",
      "2 4 5 | 5 6 4 5 || [4, 9, 2, 8, 0, 9]\n",
      "2 6 6 | 7 7 6 7 || [4, 9, 2, 8, 0, 9, 4]\n",
      "2 6 7 | 7 8 6 7 || [4, 9, 2, 8, 0, 9, 4, 8]\n",
      "2 8 8 | 8 10 8 9 || [4, 9, 2, 8, 0, 9, 4, 8, 1]\n",
      "2 8 9 | 9 10 8 9 || [4, 9, 2, 8, 0, 9, 4, 8, 1, 2]\n",
      "4 0 0 | 0 3 1 3 || [2]\n",
      "4 0 1 | 1 3 1 3 || [2, 4]\n",
      "4 0 2 | 1 4 1 3 || [2, 4, 8]\n",
      "4 0 3 | 2 4 1 3 || [2, 4, 8, 9]\n",
      "4 4 4 | 5 6 5 7 || [2, 4, 8, 9, 0]\n",
      "4 4 5 | 5 7 5 7 || [2, 4, 8, 9, 0, 4]\n",
      "4 4 6 | 5 8 5 7 || [2, 4, 8, 9, 0, 4, 8]\n",
      "4 4 7 | 6 8 5 7 || [2, 4, 8, 9, 0, 4, 8, 9]\n",
      "4 8 8 | 9 10 9 9 || [2, 4, 8, 9, 0, 4, 8, 9, 1]\n",
      "4 8 9 | 10 10 9 9 || [2, 4, 8, 9, 0, 4, 8, 9, 1, 2]\n",
      "8 0 0 | 0 5 3 7 || [0]\n",
      "8 0 1 | 1 5 3 7 || [0, 2]\n",
      "8 0 2 | 2 5 3 7 || [0, 2, 4]\n",
      "8 0 3 | 2 6 3 7 || [0, 2, 4, 4]\n",
      "8 0 4 | 3 6 3 7 || [0, 2, 4, 4, 8]\n",
      "8 0 5 | 3 7 3 7 || [0, 2, 4, 4, 8, 8]\n",
      "8 0 6 | 4 7 3 7 || [0, 2, 4, 4, 8, 8, 9]\n",
      "8 0 7 | 4 8 3 7 || [0, 2, 4, 4, 8, 8, 9, 9]\n",
      "8 8 8 | 9 12 11 9 || [0, 2, 4, 4, 8, 8, 9, 9, 1]\n",
      "8 8 9 | 10 12 11 9 || [0, 2, 4, 4, 8, 8, 9, 9, 1, 2]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 1 9 7 9 || [0, 1]\n",
      "16 0 2 | 2 9 7 9 || [0, 1, 2]\n",
      "16 0 3 | 2 10 7 9 || [0, 1, 2, 2]\n",
      "16 0 4 | 3 10 7 9 || [0, 1, 2, 2, 4]\n",
      "16 0 5 | 4 10 7 9 || [0, 1, 2, 2, 4, 4]\n",
      "16 0 6 | 5 10 7 9 || [0, 1, 2, 2, 4, 4, 8]\n",
      "16 0 7 | 6 10 7 9 || [0, 1, 2, 2, 4, 4, 8, 8]\n",
      "16 0 8 | 7 10 7 9 || [0, 1, 2, 2, 4, 4, 8, 8, 9]\n",
      "16 0 9 | 8 10 7 9 || [0, 1, 2, 2, 4, 4, 8, 8, 9, 9]\n",
      "2 0 0 | 1 1 0 1 || [0]\n",
      "2 0 1 | 1 2 0 1 || [0, 8]\n",
      "2 2 2 | 3 3 2 3 || [0, 8, 0]\n",
      "2 2 3 | 3 4 2 3 || [0, 8, 0, 3]\n",
      "2 4 4 | 5 5 4 5 || [0, 8, 0, 3, 1]\n",
      "2 4 5 | 5 6 4 5 || [0, 8, 0, 3, 1, 9]\n",
      "2 6 6 | 6 8 6 7 || [0, 8, 0, 3, 1, 9, 0]\n",
      "2 6 7 | 7 8 6 7 || [0, 8, 0, 3, 1, 9, 0, 1]\n",
      "2 8 8 | 8 10 8 9 || [0, 8, 0, 3, 1, 9, 0, 1, 2]\n",
      "2 8 9 | 9 10 8 9 || [0, 8, 0, 3, 1, 9, 0, 1, 2, 4]\n",
      "4 0 0 | 1 2 1 3 || [0]\n",
      "4 0 1 | 1 3 1 3 || [0, 0]\n",
      "4 0 2 | 1 4 1 3 || [0, 0, 3]\n",
      "4 0 3 | 2 4 1 3 || [0, 0, 3, 8]\n",
      "4 4 4 | 4 7 5 7 || [0, 0, 3, 8, 0]\n",
      "4 4 5 | 5 7 5 7 || [0, 0, 3, 8, 0, 1]\n",
      "4 4 6 | 5 8 5 7 || [0, 0, 3, 8, 0, 1, 1]\n",
      "4 4 7 | 6 8 5 7 || [0, 0, 3, 8, 0, 1, 1, 9]\n",
      "4 8 8 | 9 10 9 9 || [0, 0, 3, 8, 0, 1, 1, 9, 2]\n",
      "4 8 9 | 10 10 9 9 || [0, 0, 3, 8, 0, 1, 1, 9, 2, 4]\n",
      "8 0 0 | 1 4 3 7 || [0]\n",
      "8 0 1 | 2 4 3 7 || [0, 0]\n",
      "8 0 2 | 2 5 3 7 || [0, 0, 0]\n",
      "8 0 3 | 2 6 3 7 || [0, 0, 0, 1]\n",
      "8 0 4 | 2 7 3 7 || [0, 0, 0, 1, 1]\n",
      "8 0 5 | 3 7 3 7 || [0, 0, 0, 1, 1, 3]\n",
      "8 0 6 | 4 7 3 7 || [0, 0, 0, 1, 1, 3, 8]\n",
      "8 0 7 | 4 8 3 7 || [0, 0, 0, 1, 1, 3, 8, 9]\n",
      "8 8 8 | 9 12 11 9 || [0, 0, 0, 1, 1, 3, 8, 9, 2]\n",
      "8 8 9 | 10 12 11 9 || [0, 0, 0, 1, 1, 3, 8, 9, 2, 4]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 2 8 7 9 || [0, 0]\n",
      "16 0 2 | 3 8 7 9 || [0, 0, 0]\n",
      "16 0 3 | 4 8 7 9 || [0, 0, 0, 1]\n",
      "16 0 4 | 5 8 7 9 || [0, 0, 0, 1, 1]\n",
      "16 0 5 | 5 9 7 9 || [0, 0, 0, 1, 1, 2]\n",
      "16 0 6 | 6 9 7 9 || [0, 0, 0, 1, 1, 2, 3]\n",
      "16 0 7 | 6 10 7 9 || [0, 0, 0, 1, 1, 2, 3, 4]\n",
      "16 0 8 | 7 10 7 9 || [0, 0, 0, 1, 1, 2, 3, 4, 8]\n",
      "16 0 9 | 8 10 7 9 || [0, 0, 0, 1, 1, 2, 3, 4, 8, 9]\n",
      "2 0 0 | 0 2 0 1 || [2]\n",
      "2 0 1 | 1 2 0 1 || [2, 9]\n",
      "2 2 2 | 2 4 2 3 || [2, 9, 5]\n",
      "2 2 3 | 3 4 2 3 || [2, 9, 5, 6]\n",
      "2 4 4 | 5 5 4 5 || [2, 9, 5, 6, 8]\n",
      "2 4 5 | 5 6 4 5 || [2, 9, 5, 6, 8, 9]\n",
      "2 6 6 | 6 8 6 7 || [2, 9, 5, 6, 8, 9, 3]\n",
      "2 6 7 | 7 8 6 7 || [2, 9, 5, 6, 8, 9, 3, 7]\n",
      "2 8 8 | 9 9 8 9 || [2, 9, 5, 6, 8, 9, 3, 7, 1]\n",
      "2 8 9 | 9 10 8 9 || [2, 9, 5, 6, 8, 9, 3, 7, 1, 9]\n",
      "4 0 0 | 1 2 1 3 || [2]\n",
      "4 0 1 | 1 3 1 3 || [2, 5]\n",
      "4 0 2 | 1 4 1 3 || [2, 5, 6]\n",
      "4 0 3 | 2 4 1 3 || [2, 5, 6, 9]\n",
      "4 4 4 | 4 7 5 7 || [2, 5, 6, 9, 3]\n",
      "4 4 5 | 4 8 5 7 || [2, 5, 6, 9, 3, 7]\n",
      "4 4 6 | 5 8 5 7 || [2, 5, 6, 9, 3, 7, 8]\n",
      "4 4 7 | 6 8 5 7 || [2, 5, 6, 9, 3, 7, 8, 9]\n",
      "4 8 8 | 9 10 9 9 || [2, 5, 6, 9, 3, 7, 8, 9, 1]\n",
      "4 8 9 | 10 10 9 9 || [2, 5, 6, 9, 3, 7, 8, 9, 1, 9]\n",
      "8 0 0 | 1 4 3 7 || [2]\n",
      "8 0 1 | 1 5 3 7 || [2, 3]\n",
      "8 0 2 | 2 5 3 7 || [2, 3, 5]\n",
      "8 0 3 | 3 5 3 7 || [2, 3, 5, 6]\n",
      "8 0 4 | 3 6 3 7 || [2, 3, 5, 6, 7]\n",
      "8 0 5 | 3 7 3 7 || [2, 3, 5, 6, 7, 8]\n",
      "8 0 6 | 4 7 3 7 || [2, 3, 5, 6, 7, 8, 9]\n",
      "8 0 7 | 4 8 3 7 || [2, 3, 5, 6, 7, 8, 9, 9]\n",
      "8 8 8 | 9 12 11 9 || [2, 3, 5, 6, 7, 8, 9, 9, 1]\n",
      "8 8 9 | 10 12 11 9 || [2, 3, 5, 6, 7, 8, 9, 9, 1, 9]\n",
      "16 0 0 | 0 9 7 9 || [1]\n",
      "16 0 1 | 1 9 7 9 || [1, 2]\n",
      "16 0 2 | 2 9 7 9 || [1, 2, 3]\n",
      "16 0 3 | 3 9 7 9 || [1, 2, 3, 5]\n",
      "16 0 4 | 4 9 7 9 || [1, 2, 3, 5, 6]\n",
      "16 0 5 | 5 9 7 9 || [1, 2, 3, 5, 6, 7]\n",
      "16 0 6 | 6 9 7 9 || [1, 2, 3, 5, 6, 7, 8]\n",
      "16 0 7 | 7 9 7 9 || [1, 2, 3, 5, 6, 7, 8, 9]\n",
      "16 0 8 | 8 9 7 9 || [1, 2, 3, 5, 6, 7, 8, 9, 9]\n",
      "16 0 9 | 8 10 7 9 || [1, 2, 3, 5, 6, 7, 8, 9, 9, 9]\n",
      "2 0 0 | 0 2 0 1 || [1]\n",
      "2 0 1 | 1 2 0 1 || [1, 5]\n",
      "2 2 2 | 2 4 2 3 || [1, 5, 3]\n",
      "2 2 3 | 3 4 2 3 || [1, 5, 3, 7]\n",
      "2 4 4 | 5 5 4 5 || [1, 5, 3, 7, 1]\n",
      "2 4 5 | 5 6 4 5 || [1, 5, 3, 7, 1, 9]\n",
      "2 6 6 | 7 7 6 7 || [1, 5, 3, 7, 1, 9, 2]\n",
      "2 6 7 | 7 8 6 7 || [1, 5, 3, 7, 1, 9, 2, 2]\n",
      "2 8 8 | 9 9 8 9 || [1, 5, 3, 7, 1, 9, 2, 2, 6]\n",
      "2 8 9 | 9 10 8 9 || [1, 5, 3, 7, 1, 9, 2, 2, 6, 6]\n",
      "4 0 0 | 1 2 1 3 || [1]\n",
      "4 0 1 | 1 3 1 3 || [1, 3]\n",
      "4 0 2 | 2 3 1 3 || [1, 3, 5]\n",
      "4 0 3 | 2 4 1 3 || [1, 3, 5, 7]\n",
      "4 4 4 | 5 6 5 7 || [1, 3, 5, 7, 1]\n",
      "4 4 5 | 5 7 5 7 || [1, 3, 5, 7, 1, 2]\n",
      "4 4 6 | 5 8 5 7 || [1, 3, 5, 7, 1, 2, 2]\n",
      "4 4 7 | 6 8 5 7 || [1, 3, 5, 7, 1, 2, 2, 9]\n",
      "4 8 8 | 9 10 9 9 || [1, 3, 5, 7, 1, 2, 2, 9, 6]\n",
      "4 8 9 | 10 10 9 9 || [1, 3, 5, 7, 1, 2, 2, 9, 6, 6]\n",
      "8 0 0 | 1 4 3 7 || [1]\n",
      "8 0 1 | 1 5 3 7 || [1, 1]\n",
      "8 0 2 | 1 6 3 7 || [1, 1, 2]\n",
      "8 0 3 | 1 7 3 7 || [1, 1, 2, 2]\n",
      "8 0 4 | 2 7 3 7 || [1, 1, 2, 2, 3]\n",
      "8 0 5 | 3 7 3 7 || [1, 1, 2, 2, 3, 5]\n",
      "8 0 6 | 4 7 3 7 || [1, 1, 2, 2, 3, 5, 7]\n",
      "8 0 7 | 4 8 3 7 || [1, 1, 2, 2, 3, 5, 7, 9]\n",
      "8 8 8 | 9 12 11 9 || [1, 1, 2, 2, 3, 5, 7, 9, 6]\n",
      "8 8 9 | 10 12 11 9 || [1, 1, 2, 2, 3, 5, 7, 9, 6, 6]\n",
      "16 0 0 | 1 8 7 9 || [1]\n",
      "16 0 1 | 2 8 7 9 || [1, 1]\n",
      "16 0 2 | 3 8 7 9 || [1, 1, 2]\n",
      "16 0 3 | 4 8 7 9 || [1, 1, 2, 2]\n",
      "16 0 4 | 5 8 7 9 || [1, 1, 2, 2, 3]\n",
      "16 0 5 | 6 8 7 9 || [1, 1, 2, 2, 3, 5]\n",
      "16 0 6 | 6 9 7 9 || [1, 1, 2, 2, 3, 5, 6]\n",
      "16 0 7 | 6 10 7 9 || [1, 1, 2, 2, 3, 5, 6, 6]\n",
      "16 0 8 | 7 10 7 9 || [1, 1, 2, 2, 3, 5, 6, 6, 7]\n",
      "16 0 9 | 8 10 7 9 || [1, 1, 2, 2, 3, 5, 6, 6, 7, 9]\n",
      "2 0 0 | 1 1 0 1 || [2]\n",
      "2 0 1 | 1 2 0 1 || [2, 2]\n",
      "2 2 2 | 3 3 2 3 || [2, 2, 2]\n",
      "2 2 3 | 3 4 2 3 || [2, 2, 2, 8]\n",
      "2 4 4 | 5 5 4 5 || [2, 2, 2, 8, 8]\n",
      "2 4 5 | 5 6 4 5 || [2, 2, 2, 8, 8, 8]\n",
      "2 6 6 | 6 8 6 7 || [2, 2, 2, 8, 8, 8, 3]\n",
      "2 6 7 | 7 8 6 7 || [2, 2, 2, 8, 8, 8, 3, 6]\n",
      "2 8 8 | 8 10 8 9 || [2, 2, 2, 8, 8, 8, 3, 6, 2]\n",
      "2 8 9 | 9 10 8 9 || [2, 2, 2, 8, 8, 8, 3, 6, 2, 3]\n",
      "4 0 0 | 1 2 1 3 || [2]\n",
      "4 0 1 | 2 2 1 3 || [2, 2]\n",
      "4 0 2 | 2 3 1 3 || [2, 2, 2]\n",
      "4 0 3 | 2 4 1 3 || [2, 2, 2, 8]\n",
      "4 4 4 | 4 7 5 7 || [2, 2, 2, 8, 3]\n",
      "4 4 5 | 4 8 5 7 || [2, 2, 2, 8, 3, 6]\n",
      "4 4 6 | 5 8 5 7 || [2, 2, 2, 8, 3, 6, 8]\n",
      "4 4 7 | 6 8 5 7 || [2, 2, 2, 8, 3, 6, 8, 8]\n",
      "4 8 8 | 9 10 9 9 || [2, 2, 2, 8, 3, 6, 8, 8, 2]\n",
      "4 8 9 | 10 10 9 9 || [2, 2, 2, 8, 3, 6, 8, 8, 2, 3]\n",
      "8 0 0 | 1 4 3 7 || [2]\n",
      "8 0 1 | 2 4 3 7 || [2, 2]\n",
      "8 0 2 | 3 4 3 7 || [2, 2, 2]\n",
      "8 0 3 | 3 5 3 7 || [2, 2, 2, 3]\n",
      "8 0 4 | 3 6 3 7 || [2, 2, 2, 3, 6]\n",
      "8 0 5 | 4 6 3 7 || [2, 2, 2, 3, 6, 8]\n",
      "8 0 6 | 4 7 3 7 || [2, 2, 2, 3, 6, 8, 8]\n",
      "8 0 7 | 4 8 3 7 || [2, 2, 2, 3, 6, 8, 8, 8]\n",
      "8 8 8 | 9 12 11 9 || [2, 2, 2, 3, 6, 8, 8, 8, 2]\n",
      "8 8 9 | 10 12 11 9 || [2, 2, 2, 3, 6, 8, 8, 8, 2, 3]\n",
      "16 0 0 | 1 8 7 9 || [2]\n",
      "16 0 1 | 2 8 7 9 || [2, 2]\n",
      "16 0 2 | 3 8 7 9 || [2, 2, 2]\n",
      "16 0 3 | 3 9 7 9 || [2, 2, 2, 2]\n",
      "16 0 4 | 4 9 7 9 || [2, 2, 2, 2, 3]\n",
      "16 0 5 | 4 10 7 9 || [2, 2, 2, 2, 3, 3]\n",
      "16 0 6 | 5 10 7 9 || [2, 2, 2, 2, 3, 3, 6]\n",
      "16 0 7 | 6 10 7 9 || [2, 2, 2, 2, 3, 3, 6, 8]\n",
      "16 0 8 | 7 10 7 9 || [2, 2, 2, 2, 3, 3, 6, 8, 8]\n",
      "16 0 9 | 8 10 7 9 || [2, 2, 2, 2, 3, 3, 6, 8, 8, 8]\n",
      "2 0 0 | 0 2 0 1 || [4]\n",
      "2 0 1 | 1 2 0 1 || [4, 8]\n",
      "2 2 2 | 2 4 2 3 || [4, 8, 0]\n",
      "2 2 3 | 3 4 2 3 || [4, 8, 0, 3]\n",
      "2 4 4 | 5 5 4 5 || [4, 8, 0, 3, 7]\n",
      "2 4 5 | 5 6 4 5 || [4, 8, 0, 3, 7, 8]\n",
      "2 6 6 | 7 7 6 7 || [4, 8, 0, 3, 7, 8, 6]\n",
      "2 6 7 | 7 8 6 7 || [4, 8, 0, 3, 7, 8, 6, 6]\n",
      "2 8 8 | 8 10 8 9 || [4, 8, 0, 3, 7, 8, 6, 6, 0]\n",
      "2 8 9 | 9 10 8 9 || [4, 8, 0, 3, 7, 8, 6, 6, 0, 3]\n",
      "4 0 0 | 0 3 1 3 || [0]\n",
      "4 0 1 | 0 4 1 3 || [0, 3]\n",
      "4 0 2 | 1 4 1 3 || [0, 3, 4]\n",
      "4 0 3 | 2 4 1 3 || [0, 3, 4, 8]\n",
      "4 4 4 | 4 7 5 7 || [0, 3, 4, 8, 6]\n",
      "4 4 5 | 4 8 5 7 || [0, 3, 4, 8, 6, 6]\n",
      "4 4 6 | 5 8 5 7 || [0, 3, 4, 8, 6, 6, 7]\n",
      "4 4 7 | 6 8 5 7 || [0, 3, 4, 8, 6, 6, 7, 8]\n",
      "4 8 8 | 9 10 9 9 || [0, 3, 4, 8, 6, 6, 7, 8, 0]\n",
      "4 8 9 | 10 10 9 9 || [0, 3, 4, 8, 6, 6, 7, 8, 0, 3]\n",
      "8 0 0 | 1 4 3 7 || [0]\n",
      "8 0 1 | 2 4 3 7 || [0, 3]\n",
      "8 0 2 | 3 4 3 7 || [0, 3, 4]\n",
      "8 0 3 | 3 5 3 7 || [0, 3, 4, 6]\n",
      "8 0 4 | 3 6 3 7 || [0, 3, 4, 6, 6]\n",
      "8 0 5 | 3 7 3 7 || [0, 3, 4, 6, 6, 7]\n",
      "8 0 6 | 4 7 3 7 || [0, 3, 4, 6, 6, 7, 8]\n",
      "8 0 7 | 4 8 3 7 || [0, 3, 4, 6, 6, 7, 8, 8]\n",
      "8 8 8 | 9 12 11 9 || [0, 3, 4, 6, 6, 7, 8, 8, 0]\n",
      "8 8 9 | 10 12 11 9 || [0, 3, 4, 6, 6, 7, 8, 8, 0, 3]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 1 9 7 9 || [0, 0]\n",
      "16 0 2 | 2 9 7 9 || [0, 0, 3]\n",
      "16 0 3 | 2 10 7 9 || [0, 0, 3, 3]\n",
      "16 0 4 | 3 10 7 9 || [0, 0, 3, 3, 4]\n",
      "16 0 5 | 4 10 7 9 || [0, 0, 3, 3, 4, 6]\n",
      "16 0 6 | 5 10 7 9 || [0, 0, 3, 3, 4, 6, 6]\n",
      "16 0 7 | 6 10 7 9 || [0, 0, 3, 3, 4, 6, 6, 7]\n",
      "16 0 8 | 7 10 7 9 || [0, 0, 3, 3, 4, 6, 6, 7, 8]\n",
      "16 0 9 | 8 10 7 9 || [0, 0, 3, 3, 4, 6, 6, 7, 8, 8]\n",
      "2 0 0 | 0 2 0 1 || [3]\n",
      "2 0 1 | 1 2 0 1 || [3, 9]\n",
      "2 2 2 | 2 4 2 3 || [3, 9, 4]\n",
      "2 2 3 | 3 4 2 3 || [3, 9, 4, 6]\n",
      "2 4 4 | 4 6 4 5 || [3, 9, 4, 6, 0]\n",
      "2 4 5 | 5 6 4 5 || [3, 9, 4, 6, 0, 7]\n",
      "2 6 6 | 6 8 6 7 || [3, 9, 4, 6, 0, 7, 5]\n",
      "2 6 7 | 7 8 6 7 || [3, 9, 4, 6, 0, 7, 5, 6]\n",
      "2 8 8 | 9 9 8 9 || [3, 9, 4, 6, 0, 7, 5, 6, 4]\n",
      "2 8 9 | 9 10 8 9 || [3, 9, 4, 6, 0, 7, 5, 6, 4, 9]\n",
      "4 0 0 | 1 2 1 3 || [3]\n",
      "4 0 1 | 1 3 1 3 || [3, 4]\n",
      "4 0 2 | 1 4 1 3 || [3, 4, 6]\n",
      "4 0 3 | 2 4 1 3 || [3, 4, 6, 9]\n",
      "4 4 4 | 5 6 5 7 || [3, 4, 6, 9, 0]\n",
      "4 4 5 | 5 7 5 7 || [3, 4, 6, 9, 0, 5]\n",
      "4 4 6 | 5 8 5 7 || [3, 4, 6, 9, 0, 5, 6]\n",
      "4 4 7 | 6 8 5 7 || [3, 4, 6, 9, 0, 5, 6, 7]\n",
      "4 8 8 | 9 10 9 9 || [3, 4, 6, 9, 0, 5, 6, 7, 4]\n",
      "4 8 9 | 10 10 9 9 || [3, 4, 6, 9, 0, 5, 6, 7, 4, 9]\n",
      "8 0 0 | 0 5 3 7 || [0]\n",
      "8 0 1 | 1 5 3 7 || [0, 3]\n",
      "8 0 2 | 2 5 3 7 || [0, 3, 4]\n",
      "8 0 3 | 2 6 3 7 || [0, 3, 4, 5]\n",
      "8 0 4 | 3 6 3 7 || [0, 3, 4, 5, 6]\n",
      "8 0 5 | 3 7 3 7 || [0, 3, 4, 5, 6, 6]\n",
      "8 0 6 | 3 8 3 7 || [0, 3, 4, 5, 6, 6, 7]\n",
      "8 0 7 | 4 8 3 7 || [0, 3, 4, 5, 6, 6, 7, 9]\n",
      "8 8 8 | 9 12 11 9 || [0, 3, 4, 5, 6, 6, 7, 9, 4]\n",
      "8 8 9 | 10 12 11 9 || [0, 3, 4, 5, 6, 6, 7, 9, 4, 9]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 2 8 7 9 || [0, 3]\n",
      "16 0 2 | 3 8 7 9 || [0, 3, 4]\n",
      "16 0 3 | 3 9 7 9 || [0, 3, 4, 4]\n",
      "16 0 4 | 4 9 7 9 || [0, 3, 4, 4, 5]\n",
      "16 0 5 | 5 9 7 9 || [0, 3, 4, 4, 5, 6]\n",
      "16 0 6 | 6 9 7 9 || [0, 3, 4, 4, 5, 6, 6]\n",
      "16 0 7 | 7 9 7 9 || [0, 3, 4, 4, 5, 6, 6, 7]\n",
      "16 0 8 | 8 9 7 9 || [0, 3, 4, 4, 5, 6, 6, 7, 9]\n",
      "16 0 9 | 8 10 7 9 || [0, 3, 4, 4, 5, 6, 6, 7, 9, 9]\n",
      "2 0 0 | 0 2 0 1 || [2]\n",
      "2 0 1 | 1 2 0 1 || [2, 4]\n",
      "2 2 2 | 3 3 2 3 || [2, 4, 6]\n",
      "2 2 3 | 3 4 2 3 || [2, 4, 6, 8]\n",
      "2 4 4 | 5 5 4 5 || [2, 4, 6, 8, 5]\n",
      "2 4 5 | 5 6 4 5 || [2, 4, 6, 8, 5, 5]\n",
      "2 6 6 | 6 8 6 7 || [2, 4, 6, 8, 5, 5, 0]\n",
      "2 6 7 | 7 8 6 7 || [2, 4, 6, 8, 5, 5, 0, 7]\n",
      "2 8 8 | 8 10 8 9 || [2, 4, 6, 8, 5, 5, 0, 7, 0]\n",
      "2 8 9 | 9 10 8 9 || [2, 4, 6, 8, 5, 5, 0, 7, 0, 2]\n",
      "4 0 0 | 1 2 1 3 || [2]\n",
      "4 0 1 | 2 2 1 3 || [2, 4]\n",
      "4 0 2 | 2 3 1 3 || [2, 4, 6]\n",
      "4 0 3 | 2 4 1 3 || [2, 4, 6, 8]\n",
      "4 4 4 | 4 7 5 7 || [2, 4, 6, 8, 0]\n",
      "4 4 5 | 5 7 5 7 || [2, 4, 6, 8, 0, 5]\n",
      "4 4 6 | 6 7 5 7 || [2, 4, 6, 8, 0, 5, 5]\n",
      "4 4 7 | 6 8 5 7 || [2, 4, 6, 8, 0, 5, 5, 7]\n",
      "4 8 8 | 9 10 9 9 || [2, 4, 6, 8, 0, 5, 5, 7, 0]\n",
      "4 8 9 | 10 10 9 9 || [2, 4, 6, 8, 0, 5, 5, 7, 0, 2]\n",
      "8 0 0 | 0 5 3 7 || [0]\n",
      "8 0 1 | 1 5 3 7 || [0, 2]\n",
      "8 0 2 | 2 5 3 7 || [0, 2, 4]\n",
      "8 0 3 | 2 6 3 7 || [0, 2, 4, 5]\n",
      "8 0 4 | 2 7 3 7 || [0, 2, 4, 5, 5]\n",
      "8 0 5 | 3 7 3 7 || [0, 2, 4, 5, 5, 6]\n",
      "8 0 6 | 3 8 3 7 || [0, 2, 4, 5, 5, 6, 7]\n",
      "8 0 7 | 4 8 3 7 || [0, 2, 4, 5, 5, 6, 7, 8]\n",
      "8 8 8 | 9 12 11 9 || [0, 2, 4, 5, 5, 6, 7, 8, 0]\n",
      "8 8 9 | 10 12 11 9 || [0, 2, 4, 5, 5, 6, 7, 8, 0, 2]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 1 9 7 9 || [0, 0]\n",
      "16 0 2 | 2 9 7 9 || [0, 0, 2]\n",
      "16 0 3 | 2 10 7 9 || [0, 0, 2, 2]\n",
      "16 0 4 | 3 10 7 9 || [0, 0, 2, 2, 4]\n",
      "16 0 5 | 4 10 7 9 || [0, 0, 2, 2, 4, 5]\n",
      "16 0 6 | 5 10 7 9 || [0, 0, 2, 2, 4, 5, 5]\n",
      "16 0 7 | 6 10 7 9 || [0, 0, 2, 2, 4, 5, 5, 6]\n",
      "16 0 8 | 7 10 7 9 || [0, 0, 2, 2, 4, 5, 5, 6, 7]\n",
      "16 0 9 | 8 10 7 9 || [0, 0, 2, 2, 4, 5, 5, 6, 7, 8]\n",
      "2 0 0 | 0 2 0 1 || [1]\n",
      "2 0 1 | 1 2 0 1 || [1, 9]\n",
      "2 2 2 | 3 3 2 3 || [1, 9, 3]\n",
      "2 2 3 | 3 4 2 3 || [1, 9, 3, 9]\n",
      "2 4 4 | 5 5 4 5 || [1, 9, 3, 9, 0]\n",
      "2 4 5 | 5 6 4 5 || [1, 9, 3, 9, 0, 1]\n",
      "2 6 6 | 6 8 6 7 || [1, 9, 3, 9, 0, 1, 5]\n",
      "2 6 7 | 7 8 6 7 || [1, 9, 3, 9, 0, 1, 5, 9]\n",
      "2 8 8 | 9 9 8 9 || [1, 9, 3, 9, 0, 1, 5, 9, 2]\n",
      "2 8 9 | 9 10 8 9 || [1, 9, 3, 9, 0, 1, 5, 9, 2, 6]\n",
      "4 0 0 | 1 2 1 3 || [1]\n",
      "4 0 1 | 1 3 1 3 || [1, 3]\n",
      "4 0 2 | 2 3 1 3 || [1, 3, 9]\n",
      "4 0 3 | 2 4 1 3 || [1, 3, 9, 9]\n",
      "4 4 4 | 5 6 5 7 || [1, 3, 9, 9, 0]\n",
      "4 4 5 | 6 6 5 7 || [1, 3, 9, 9, 0, 1]\n",
      "4 4 6 | 6 7 5 7 || [1, 3, 9, 9, 0, 1, 5]\n",
      "4 4 7 | 6 8 5 7 || [1, 3, 9, 9, 0, 1, 5, 9]\n",
      "4 8 8 | 9 10 9 9 || [1, 3, 9, 9, 0, 1, 5, 9, 2]\n",
      "4 8 9 | 10 10 9 9 || [1, 3, 9, 9, 0, 1, 5, 9, 2, 6]\n",
      "8 0 0 | 0 5 3 7 || [0]\n",
      "8 0 1 | 1 5 3 7 || [0, 1]\n",
      "8 0 2 | 1 6 3 7 || [0, 1, 1]\n",
      "8 0 3 | 2 6 3 7 || [0, 1, 1, 3]\n",
      "8 0 4 | 2 7 3 7 || [0, 1, 1, 3, 5]\n",
      "8 0 5 | 3 7 3 7 || [0, 1, 1, 3, 5, 9]\n",
      "8 0 6 | 4 7 3 7 || [0, 1, 1, 3, 5, 9, 9]\n",
      "8 0 7 | 4 8 3 7 || [0, 1, 1, 3, 5, 9, 9, 9]\n",
      "8 8 8 | 9 12 11 9 || [0, 1, 1, 3, 5, 9, 9, 9, 2]\n",
      "8 8 9 | 10 12 11 9 || [0, 1, 1, 3, 5, 9, 9, 9, 2, 6]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 2 8 7 9 || [0, 1]\n",
      "16 0 2 | 3 8 7 9 || [0, 1, 1]\n",
      "16 0 3 | 3 9 7 9 || [0, 1, 1, 2]\n",
      "16 0 4 | 4 9 7 9 || [0, 1, 1, 2, 3]\n",
      "16 0 5 | 5 9 7 9 || [0, 1, 1, 2, 3, 5]\n",
      "16 0 6 | 5 10 7 9 || [0, 1, 1, 2, 3, 5, 6]\n",
      "16 0 7 | 6 10 7 9 || [0, 1, 1, 2, 3, 5, 6, 9]\n",
      "16 0 8 | 7 10 7 9 || [0, 1, 1, 2, 3, 5, 6, 9, 9]\n",
      "16 0 9 | 8 10 7 9 || [0, 1, 1, 2, 3, 5, 6, 9, 9, 9]\n",
      "2 0 0 | 1 1 0 1 || [1]\n",
      "2 0 1 | 1 2 0 1 || [1, 1]\n",
      "2 2 2 | 3 3 2 3 || [1, 1, 2]\n",
      "2 2 3 | 3 4 2 3 || [1, 1, 2, 5]\n",
      "2 4 4 | 5 5 4 5 || [1, 1, 2, 5, 4]\n",
      "2 4 5 | 5 6 4 5 || [1, 1, 2, 5, 4, 5]\n",
      "2 6 6 | 7 7 6 7 || [1, 1, 2, 5, 4, 5, 2]\n",
      "2 6 7 | 7 8 6 7 || [1, 1, 2, 5, 4, 5, 2, 5]\n",
      "2 8 8 | 9 9 8 9 || [1, 1, 2, 5, 4, 5, 2, 5, 0]\n",
      "2 8 9 | 9 10 8 9 || [1, 1, 2, 5, 4, 5, 2, 5, 0, 4]\n",
      "4 0 0 | 1 2 1 3 || [1]\n",
      "4 0 1 | 2 2 1 3 || [1, 1]\n",
      "4 0 2 | 2 3 1 3 || [1, 1, 2]\n",
      "4 0 3 | 2 4 1 3 || [1, 1, 2, 5]\n",
      "4 4 4 | 4 7 5 7 || [1, 1, 2, 5, 2]\n",
      "4 4 5 | 5 7 5 7 || [1, 1, 2, 5, 2, 4]\n",
      "4 4 6 | 6 7 5 7 || [1, 1, 2, 5, 2, 4, 5]\n",
      "4 4 7 | 6 8 5 7 || [1, 1, 2, 5, 2, 4, 5, 5]\n",
      "4 8 8 | 9 10 9 9 || [1, 1, 2, 5, 2, 4, 5, 5, 0]\n",
      "4 8 9 | 10 10 9 9 || [1, 1, 2, 5, 2, 4, 5, 5, 0, 4]\n",
      "8 0 0 | 1 4 3 7 || [1]\n",
      "8 0 1 | 2 4 3 7 || [1, 1]\n",
      "8 0 2 | 3 4 3 7 || [1, 1, 2]\n",
      "8 0 3 | 3 5 3 7 || [1, 1, 2, 2]\n",
      "8 0 4 | 3 6 3 7 || [1, 1, 2, 2, 4]\n",
      "8 0 5 | 4 6 3 7 || [1, 1, 2, 2, 4, 5]\n",
      "8 0 6 | 4 7 3 7 || [1, 1, 2, 2, 4, 5, 5]\n",
      "8 0 7 | 4 8 3 7 || [1, 1, 2, 2, 4, 5, 5, 5]\n",
      "8 8 8 | 9 12 11 9 || [1, 1, 2, 2, 4, 5, 5, 5, 0]\n",
      "8 8 9 | 10 12 11 9 || [1, 1, 2, 2, 4, 5, 5, 5, 0, 4]\n",
      "16 0 0 | 0 9 7 9 || [0]\n",
      "16 0 1 | 1 9 7 9 || [0, 1]\n",
      "16 0 2 | 2 9 7 9 || [0, 1, 1]\n",
      "16 0 3 | 3 9 7 9 || [0, 1, 1, 2]\n",
      "16 0 4 | 4 9 7 9 || [0, 1, 1, 2, 2]\n",
      "16 0 5 | 5 9 7 9 || [0, 1, 1, 2, 2, 4]\n",
      "16 0 6 | 5 10 7 9 || [0, 1, 1, 2, 2, 4, 4]\n",
      "16 0 7 | 6 10 7 9 || [0, 1, 1, 2, 2, 4, 4, 5]\n",
      "16 0 8 | 7 10 7 9 || [0, 1, 1, 2, 2, 4, 4, 5, 5]\n",
      "16 0 9 | 8 10 7 9 || [0, 1, 1, 2, 2, 4, 4, 5, 5, 5]\n",
      "2 0 0 | 1 1 0 1 || [1]\n",
      "2 0 1 | 1 2 0 1 || [1, 6]\n",
      "2 2 2 | 3 3 2 3 || [1, 6, 6]\n",
      "2 2 3 | 3 4 2 3 || [1, 6, 6, 6]\n",
      "2 4 4 | 5 5 4 5 || [1, 6, 6, 6, 3]\n",
      "2 4 5 | 5 6 4 5 || [1, 6, 6, 6, 3, 8]\n",
      "2 6 6 | 6 8 6 7 || [1, 6, 6, 6, 3, 8, 4]\n",
      "2 6 7 | 7 8 6 7 || [1, 6, 6, 6, 3, 8, 4, 8]\n",
      "2 8 8 | 9 9 8 9 || [1, 6, 6, 6, 3, 8, 4, 8, 2]\n",
      "2 8 9 | 9 10 8 9 || [1, 6, 6, 6, 3, 8, 4, 8, 2, 6]\n",
      "4 0 0 | 1 2 1 3 || [1]\n",
      "4 0 1 | 2 2 1 3 || [1, 6]\n",
      "4 0 2 | 2 3 1 3 || [1, 6, 6]\n",
      "4 0 3 | 2 4 1 3 || [1, 6, 6, 6]\n",
      "4 4 4 | 5 6 5 7 || [1, 6, 6, 6, 3]\n",
      "4 4 5 | 5 7 5 7 || [1, 6, 6, 6, 3, 4]\n",
      "4 4 6 | 6 7 5 7 || [1, 6, 6, 6, 3, 4, 8]\n",
      "4 4 7 | 6 8 5 7 || [1, 6, 6, 6, 3, 4, 8, 8]\n",
      "4 8 8 | 9 10 9 9 || [1, 6, 6, 6, 3, 4, 8, 8, 2]\n",
      "4 8 9 | 10 10 9 9 || [1, 6, 6, 6, 3, 4, 8, 8, 2, 6]\n",
      "8 0 0 | 1 4 3 7 || [1]\n",
      "8 0 1 | 1 5 3 7 || [1, 3]\n",
      "8 0 2 | 1 6 3 7 || [1, 3, 4]\n",
      "8 0 3 | 2 6 3 7 || [1, 3, 4, 6]\n",
      "8 0 4 | 3 6 3 7 || [1, 3, 4, 6, 6]\n",
      "8 0 5 | 4 6 3 7 || [1, 3, 4, 6, 6, 6]\n",
      "8 0 6 | 4 7 3 7 || [1, 3, 4, 6, 6, 6, 8]\n",
      "8 0 7 | 4 8 3 7 || [1, 3, 4, 6, 6, 6, 8, 8]\n",
      "8 8 8 | 9 12 11 9 || [1, 3, 4, 6, 6, 6, 8, 8, 2]\n",
      "8 8 9 | 10 12 11 9 || [1, 3, 4, 6, 6, 6, 8, 8, 2, 6]\n",
      "16 0 0 | 1 8 7 9 || [1]\n",
      "16 0 1 | 1 9 7 9 || [1, 2]\n",
      "16 0 2 | 2 9 7 9 || [1, 2, 3]\n",
      "16 0 3 | 3 9 7 9 || [1, 2, 3, 4]\n",
      "16 0 4 | 4 9 7 9 || [1, 2, 3, 4, 6]\n",
      "16 0 5 | 5 9 7 9 || [1, 2, 3, 4, 6, 6]\n",
      "16 0 6 | 6 9 7 9 || [1, 2, 3, 4, 6, 6, 6]\n",
      "16 0 7 | 6 10 7 9 || [1, 2, 3, 4, 6, 6, 6, 6]\n",
      "16 0 8 | 7 10 7 9 || [1, 2, 3, 4, 6, 6, 6, 6, 8]\n",
      "16 0 9 | 8 10 7 9 || [1, 2, 3, 4, 6, 6, 6, 6, 8, 8]\n",
      "2 0 0 | 1 1 0 1 || [3]\n",
      "2 0 1 | 1 2 0 1 || [3, 3]\n",
      "2 2 2 | 3 3 2 3 || [3, 3, 9]\n",
      "2 2 3 | 3 4 2 3 || [3, 3, 9, 9]\n",
      "2 4 4 | 5 5 4 5 || [3, 3, 9, 9, 3]\n",
      "2 4 5 | 5 6 4 5 || [3, 3, 9, 9, 3, 5]\n",
      "2 6 6 | 7 7 6 7 || [3, 3, 9, 9, 3, 5, 4]\n",
      "2 6 7 | 7 8 6 7 || [3, 3, 9, 9, 3, 5, 4, 9]\n",
      "2 8 8 | 9 9 8 9 || [3, 3, 9, 9, 3, 5, 4, 9, 3]\n",
      "2 8 9 | 9 10 8 9 || [3, 3, 9, 9, 3, 5, 4, 9, 3, 7]\n",
      "4 0 0 | 1 2 1 3 || [3]\n",
      "4 0 1 | 2 2 1 3 || [3, 3]\n",
      "4 0 2 | 2 3 1 3 || [3, 3, 9]\n",
      "4 0 3 | 2 4 1 3 || [3, 3, 9, 9]\n",
      "4 4 4 | 5 6 5 7 || [3, 3, 9, 9, 3]\n",
      "4 4 5 | 5 7 5 7 || [3, 3, 9, 9, 3, 4]\n",
      "4 4 6 | 6 7 5 7 || [3, 3, 9, 9, 3, 4, 5]\n",
      "4 4 7 | 6 8 5 7 || [3, 3, 9, 9, 3, 4, 5, 9]\n",
      "4 8 8 | 9 10 9 9 || [3, 3, 9, 9, 3, 4, 5, 9, 3]\n",
      "4 8 9 | 10 10 9 9 || [3, 3, 9, 9, 3, 4, 5, 9, 3, 7]\n",
      "8 0 0 | 1 4 3 7 || [3]\n",
      "8 0 1 | 2 4 3 7 || [3, 3]\n",
      "8 0 2 | 2 5 3 7 || [3, 3, 3]\n",
      "8 0 3 | 2 6 3 7 || [3, 3, 3, 4]\n",
      "8 0 4 | 2 7 3 7 || [3, 3, 3, 4, 5]\n",
      "8 0 5 | 3 7 3 7 || [3, 3, 3, 4, 5, 9]\n",
      "8 0 6 | 4 7 3 7 || [3, 3, 3, 4, 5, 9, 9]\n",
      "8 0 7 | 4 8 3 7 || [3, 3, 3, 4, 5, 9, 9, 9]\n",
      "8 8 8 | 9 12 11 9 || [3, 3, 3, 4, 5, 9, 9, 9, 3]\n",
      "8 8 9 | 10 12 11 9 || [3, 3, 3, 4, 5, 9, 9, 9, 3, 7]\n",
      "16 0 0 | 1 8 7 9 || [3]\n",
      "16 0 1 | 2 8 7 9 || [3, 3]\n",
      "16 0 2 | 3 8 7 9 || [3, 3, 3]\n",
      "16 0 3 | 3 9 7 9 || [3, 3, 3, 3]\n",
      "16 0 4 | 4 9 7 9 || [3, 3, 3, 3, 4]\n",
      "16 0 5 | 5 9 7 9 || [3, 3, 3, 3, 4, 5]\n",
      "16 0 6 | 5 10 7 9 || [3, 3, 3, 3, 4, 5, 7]\n",
      "16 0 7 | 6 10 7 9 || [3, 3, 3, 3, 4, 5, 7, 9]\n",
      "16 0 8 | 7 10 7 9 || [3, 3, 3, 3, 4, 5, 7, 9, 9]\n",
      "16 0 9 | 8 10 7 9 || [3, 3, 3, 3, 4, 5, 7, 9, 9, 9]\n",
      "2 0 0 | 0 2 0 1 || [8]\n",
      "2 0 1 | 1 2 0 1 || [8, 9]\n",
      "2 2 2 | 3 3 2 3 || [8, 9, 3]\n",
      "2 2 3 | 3 4 2 3 || [8, 9, 3, 5]\n",
      "2 4 4 | 5 5 4 5 || [8, 9, 3, 5, 7]\n",
      "2 4 5 | 5 6 4 5 || [8, 9, 3, 5, 7, 9]\n",
      "2 6 6 | 7 7 6 7 || [8, 9, 3, 5, 7, 9, 0]\n",
      "2 6 7 | 7 8 6 7 || [8, 9, 3, 5, 7, 9, 0, 6]\n",
      "2 8 8 | 9 9 8 9 || [8, 9, 3, 5, 7, 9, 0, 6, 3]\n",
      "2 8 9 | 9 10 8 9 || [8, 9, 3, 5, 7, 9, 0, 6, 3, 9]\n",
      "4 0 0 | 0 3 1 3 || [3]\n",
      "4 0 1 | 0 4 1 3 || [3, 5]\n",
      "4 0 2 | 1 4 1 3 || [3, 5, 8]\n",
      "4 0 3 | 2 4 1 3 || [3, 5, 8, 9]\n",
      "4 4 4 | 4 7 5 7 || [3, 5, 8, 9, 0]\n",
      "4 4 5 | 4 8 5 7 || [3, 5, 8, 9, 0, 6]\n",
      "4 4 6 | 5 8 5 7 || [3, 5, 8, 9, 0, 6, 7]\n",
      "4 4 7 | 6 8 5 7 || [3, 5, 8, 9, 0, 6, 7, 9]\n",
      "4 8 8 | 9 10 9 9 || [3, 5, 8, 9, 0, 6, 7, 9, 3]\n",
      "4 8 9 | 10 10 9 9 || [3, 5, 8, 9, 0, 6, 7, 9, 3, 9]\n",
      "8 0 0 | 0 5 3 7 || [0]\n",
      "8 0 1 | 1 5 3 7 || [0, 3]\n",
      "8 0 2 | 2 5 3 7 || [0, 3, 5]\n",
      "8 0 3 | 2 6 3 7 || [0, 3, 5, 6]\n",
      "8 0 4 | 2 7 3 7 || [0, 3, 5, 6, 7]\n",
      "8 0 5 | 3 7 3 7 || [0, 3, 5, 6, 7, 8]\n",
      "8 0 6 | 4 7 3 7 || [0, 3, 5, 6, 7, 8, 9]\n",
      "8 0 7 | 4 8 3 7 || [0, 3, 5, 6, 7, 8, 9, 9]\n",
      "8 8 8 | 9 12 11 9 || [0, 3, 5, 6, 7, 8, 9, 9, 3]\n",
      "8 8 9 | 10 12 11 9 || [0, 3, 5, 6, 7, 8, 9, 9, 3, 9]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 2 8 7 9 || [0, 3]\n",
      "16 0 2 | 2 9 7 9 || [0, 3, 3]\n",
      "16 0 3 | 3 9 7 9 || [0, 3, 3, 5]\n",
      "16 0 4 | 4 9 7 9 || [0, 3, 3, 5, 6]\n",
      "16 0 5 | 5 9 7 9 || [0, 3, 3, 5, 6, 7]\n",
      "16 0 6 | 6 9 7 9 || [0, 3, 3, 5, 6, 7, 8]\n",
      "16 0 7 | 7 9 7 9 || [0, 3, 3, 5, 6, 7, 8, 9]\n",
      "16 0 8 | 8 9 7 9 || [0, 3, 3, 5, 6, 7, 8, 9, 9]\n",
      "16 0 9 | 8 10 7 9 || [0, 3, 3, 5, 6, 7, 8, 9, 9, 9]\n",
      "2 0 0 | 1 1 0 1 || [0]\n",
      "2 0 1 | 1 2 0 1 || [0, 0]\n",
      "2 2 2 | 3 3 2 3 || [0, 0, 8]\n",
      "2 2 3 | 3 4 2 3 || [0, 0, 8, 8]\n",
      "2 4 4 | 4 6 4 5 || [0, 0, 8, 8, 0]\n",
      "2 4 5 | 5 6 4 5 || [0, 0, 8, 8, 0, 4]\n",
      "2 6 6 | 6 8 6 7 || [0, 0, 8, 8, 0, 4, 1]\n",
      "2 6 7 | 7 8 6 7 || [0, 0, 8, 8, 0, 4, 1, 8]\n",
      "2 8 8 | 9 9 8 9 || [0, 0, 8, 8, 0, 4, 1, 8, 2]\n",
      "2 8 9 | 9 10 8 9 || [0, 0, 8, 8, 0, 4, 1, 8, 2, 4]\n",
      "4 0 0 | 1 2 1 3 || [0]\n",
      "4 0 1 | 2 2 1 3 || [0, 0]\n",
      "4 0 2 | 2 3 1 3 || [0, 0, 8]\n",
      "4 0 3 | 2 4 1 3 || [0, 0, 8, 8]\n",
      "4 4 4 | 5 6 5 7 || [0, 0, 8, 8, 0]\n",
      "4 4 5 | 5 7 5 7 || [0, 0, 8, 8, 0, 1]\n",
      "4 4 6 | 6 7 5 7 || [0, 0, 8, 8, 0, 1, 4]\n",
      "4 4 7 | 6 8 5 7 || [0, 0, 8, 8, 0, 1, 4, 8]\n",
      "4 8 8 | 9 10 9 9 || [0, 0, 8, 8, 0, 1, 4, 8, 2]\n",
      "4 8 9 | 10 10 9 9 || [0, 0, 8, 8, 0, 1, 4, 8, 2, 4]\n",
      "8 0 0 | 1 4 3 7 || [0]\n",
      "8 0 1 | 2 4 3 7 || [0, 0]\n",
      "8 0 2 | 2 5 3 7 || [0, 0, 0]\n",
      "8 0 3 | 2 6 3 7 || [0, 0, 0, 1]\n",
      "8 0 4 | 2 7 3 7 || [0, 0, 0, 1, 4]\n",
      "8 0 5 | 3 7 3 7 || [0, 0, 0, 1, 4, 8]\n",
      "8 0 6 | 4 7 3 7 || [0, 0, 0, 1, 4, 8, 8]\n",
      "8 0 7 | 4 8 3 7 || [0, 0, 0, 1, 4, 8, 8, 8]\n",
      "8 8 8 | 9 12 11 9 || [0, 0, 0, 1, 4, 8, 8, 8, 2]\n",
      "8 8 9 | 10 12 11 9 || [0, 0, 0, 1, 4, 8, 8, 8, 2, 4]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 2 8 7 9 || [0, 0]\n",
      "16 0 2 | 3 8 7 9 || [0, 0, 0]\n",
      "16 0 3 | 4 8 7 9 || [0, 0, 0, 1]\n",
      "16 0 4 | 4 9 7 9 || [0, 0, 0, 1, 2]\n",
      "16 0 5 | 5 9 7 9 || [0, 0, 0, 1, 2, 4]\n",
      "16 0 6 | 5 10 7 9 || [0, 0, 0, 1, 2, 4, 4]\n",
      "16 0 7 | 6 10 7 9 || [0, 0, 0, 1, 2, 4, 4, 8]\n",
      "16 0 8 | 7 10 7 9 || [0, 0, 0, 1, 2, 4, 4, 8, 8]\n",
      "16 0 9 | 8 10 7 9 || [0, 0, 0, 1, 2, 4, 4, 8, 8, 8]\n",
      "2 0 0 | 0 2 0 1 || [5]\n",
      "2 0 1 | 1 2 0 1 || [5, 9]\n",
      "2 2 2 | 3 3 2 3 || [5, 9, 5]\n",
      "2 2 3 | 3 4 2 3 || [5, 9, 5, 7]\n",
      "2 4 4 | 4 6 4 5 || [5, 9, 5, 7, 3]\n",
      "2 4 5 | 5 6 4 5 || [5, 9, 5, 7, 3, 7]\n",
      "2 6 6 | 7 7 6 7 || [5, 9, 5, 7, 3, 7, 4]\n",
      "2 6 7 | 7 8 6 7 || [5, 9, 5, 7, 3, 7, 4, 6]\n",
      "2 8 8 | 8 10 8 9 || [5, 9, 5, 7, 3, 7, 4, 6, 3]\n",
      "2 8 9 | 9 10 8 9 || [5, 9, 5, 7, 3, 7, 4, 6, 3, 4]\n",
      "4 0 0 | 1 2 1 3 || [5]\n",
      "4 0 1 | 1 3 1 3 || [5, 5]\n",
      "4 0 2 | 1 4 1 3 || [5, 5, 7]\n",
      "4 0 3 | 2 4 1 3 || [5, 5, 7, 9]\n",
      "4 4 4 | 5 6 5 7 || [5, 5, 7, 9, 3]\n",
      "4 4 5 | 5 7 5 7 || [5, 5, 7, 9, 3, 4]\n",
      "4 4 6 | 5 8 5 7 || [5, 5, 7, 9, 3, 4, 6]\n",
      "4 4 7 | 6 8 5 7 || [5, 5, 7, 9, 3, 4, 6, 7]\n",
      "4 8 8 | 9 10 9 9 || [5, 5, 7, 9, 3, 4, 6, 7, 3]\n",
      "4 8 9 | 10 10 9 9 || [5, 5, 7, 9, 3, 4, 6, 7, 3, 4]\n",
      "8 0 0 | 0 5 3 7 || [3]\n",
      "8 0 1 | 0 6 3 7 || [3, 4]\n",
      "8 0 2 | 1 6 3 7 || [3, 4, 5]\n",
      "8 0 3 | 2 6 3 7 || [3, 4, 5, 5]\n",
      "8 0 4 | 2 7 3 7 || [3, 4, 5, 5, 6]\n",
      "8 0 5 | 3 7 3 7 || [3, 4, 5, 5, 6, 7]\n",
      "8 0 6 | 3 8 3 7 || [3, 4, 5, 5, 6, 7, 7]\n",
      "8 0 7 | 4 8 3 7 || [3, 4, 5, 5, 6, 7, 7, 9]\n",
      "8 8 8 | 9 12 11 9 || [3, 4, 5, 5, 6, 7, 7, 9, 3]\n",
      "8 8 9 | 10 12 11 9 || [3, 4, 5, 5, 6, 7, 7, 9, 3, 4]\n",
      "16 0 0 | 1 8 7 9 || [3]\n",
      "16 0 1 | 1 9 7 9 || [3, 3]\n",
      "16 0 2 | 2 9 7 9 || [3, 3, 4]\n",
      "16 0 3 | 2 10 7 9 || [3, 3, 4, 4]\n",
      "16 0 4 | 3 10 7 9 || [3, 3, 4, 4, 5]\n",
      "16 0 5 | 4 10 7 9 || [3, 3, 4, 4, 5, 5]\n",
      "16 0 6 | 5 10 7 9 || [3, 3, 4, 4, 5, 5, 6]\n",
      "16 0 7 | 6 10 7 9 || [3, 3, 4, 4, 5, 5, 6, 7]\n",
      "16 0 8 | 7 10 7 9 || [3, 3, 4, 4, 5, 5, 6, 7, 7]\n",
      "16 0 9 | 8 10 7 9 || [3, 3, 4, 4, 5, 5, 6, 7, 7, 9]\n",
      "2 0 0 | 1 1 0 1 || [0]\n",
      "2 0 1 | 1 2 0 1 || [0, 6]\n",
      "2 2 2 | 3 3 2 3 || [0, 6, 0]\n",
      "2 2 3 | 3 4 2 3 || [0, 6, 0, 4]\n",
      "2 4 4 | 5 5 4 5 || [0, 6, 0, 4, 5]\n",
      "2 4 5 | 5 6 4 5 || [0, 6, 0, 4, 5, 5]\n",
      "2 6 6 | 6 8 6 7 || [0, 6, 0, 4, 5, 5, 5]\n",
      "2 6 7 | 7 8 6 7 || [0, 6, 0, 4, 5, 5, 5, 6]\n",
      "2 8 8 | 8 10 8 9 || [0, 6, 0, 4, 5, 5, 5, 6, 2]\n",
      "2 8 9 | 9 10 8 9 || [0, 6, 0, 4, 5, 5, 5, 6, 2, 7]\n",
      "4 0 0 | 1 2 1 3 || [0]\n",
      "4 0 1 | 1 3 1 3 || [0, 0]\n",
      "4 0 2 | 1 4 1 3 || [0, 0, 4]\n",
      "4 0 3 | 2 4 1 3 || [0, 0, 4, 6]\n",
      "4 4 4 | 5 6 5 7 || [0, 0, 4, 6, 5]\n",
      "4 4 5 | 6 6 5 7 || [0, 0, 4, 6, 5, 5]\n",
      "4 4 6 | 6 7 5 7 || [0, 0, 4, 6, 5, 5, 5]\n",
      "4 4 7 | 6 8 5 7 || [0, 0, 4, 6, 5, 5, 5, 6]\n",
      "4 8 8 | 9 10 9 9 || [0, 0, 4, 6, 5, 5, 5, 6, 2]\n",
      "4 8 9 | 10 10 9 9 || [0, 0, 4, 6, 5, 5, 5, 6, 2, 7]\n",
      "8 0 0 | 1 4 3 7 || [0]\n",
      "8 0 1 | 2 4 3 7 || [0, 0]\n",
      "8 0 2 | 3 4 3 7 || [0, 0, 4]\n",
      "8 0 3 | 3 5 3 7 || [0, 0, 4, 5]\n",
      "8 0 4 | 3 6 3 7 || [0, 0, 4, 5, 5]\n",
      "8 0 5 | 3 7 3 7 || [0, 0, 4, 5, 5, 5]\n",
      "8 0 6 | 4 7 3 7 || [0, 0, 4, 5, 5, 5, 6]\n",
      "8 0 7 | 4 8 3 7 || [0, 0, 4, 5, 5, 5, 6, 6]\n",
      "8 8 8 | 9 12 11 9 || [0, 0, 4, 5, 5, 5, 6, 6, 2]\n",
      "8 8 9 | 10 12 11 9 || [0, 0, 4, 5, 5, 5, 6, 6, 2, 7]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 2 8 7 9 || [0, 0]\n",
      "16 0 2 | 2 9 7 9 || [0, 0, 2]\n",
      "16 0 3 | 3 9 7 9 || [0, 0, 2, 4]\n",
      "16 0 4 | 4 9 7 9 || [0, 0, 2, 4, 5]\n",
      "16 0 5 | 5 9 7 9 || [0, 0, 2, 4, 5, 5]\n",
      "16 0 6 | 6 9 7 9 || [0, 0, 2, 4, 5, 5, 5]\n",
      "16 0 7 | 7 9 7 9 || [0, 0, 2, 4, 5, 5, 5, 6]\n",
      "16 0 8 | 8 9 7 9 || [0, 0, 2, 4, 5, 5, 5, 6, 6]\n",
      "16 0 9 | 8 10 7 9 || [0, 0, 2, 4, 5, 5, 5, 6, 6, 7]\n",
      "2 0 0 | 1 1 0 1 || [2]\n",
      "2 0 1 | 1 2 0 1 || [2, 8]\n",
      "2 2 2 | 2 4 2 3 || [2, 8, 3]\n",
      "2 2 3 | 3 4 2 3 || [2, 8, 3, 9]\n",
      "2 4 4 | 5 5 4 5 || [2, 8, 3, 9, 6]\n",
      "2 4 5 | 5 6 4 5 || [2, 8, 3, 9, 6, 8]\n",
      "2 6 6 | 6 8 6 7 || [2, 8, 3, 9, 6, 8, 1]\n",
      "2 6 7 | 7 8 6 7 || [2, 8, 3, 9, 6, 8, 1, 6]\n",
      "2 8 8 | 8 10 8 9 || [2, 8, 3, 9, 6, 8, 1, 6, 0]\n",
      "2 8 9 | 9 10 8 9 || [2, 8, 3, 9, 6, 8, 1, 6, 0, 7]\n",
      "4 0 0 | 1 2 1 3 || [2]\n",
      "4 0 1 | 1 3 1 3 || [2, 3]\n",
      "4 0 2 | 2 3 1 3 || [2, 3, 8]\n",
      "4 0 3 | 2 4 1 3 || [2, 3, 8, 9]\n",
      "4 4 4 | 4 7 5 7 || [2, 3, 8, 9, 1]\n",
      "4 4 5 | 5 7 5 7 || [2, 3, 8, 9, 1, 6]\n",
      "4 4 6 | 5 8 5 7 || [2, 3, 8, 9, 1, 6, 6]\n",
      "4 4 7 | 6 8 5 7 || [2, 3, 8, 9, 1, 6, 6, 8]\n",
      "4 8 8 | 9 10 9 9 || [2, 3, 8, 9, 1, 6, 6, 8, 0]\n",
      "4 8 9 | 10 10 9 9 || [2, 3, 8, 9, 1, 6, 6, 8, 0, 7]\n",
      "8 0 0 | 0 5 3 7 || [1]\n",
      "8 0 1 | 1 5 3 7 || [1, 2]\n",
      "8 0 2 | 2 5 3 7 || [1, 2, 3]\n",
      "8 0 3 | 2 6 3 7 || [1, 2, 3, 6]\n",
      "8 0 4 | 2 7 3 7 || [1, 2, 3, 6, 6]\n",
      "8 0 5 | 3 7 3 7 || [1, 2, 3, 6, 6, 8]\n",
      "8 0 6 | 3 8 3 7 || [1, 2, 3, 6, 6, 8, 8]\n",
      "8 0 7 | 4 8 3 7 || [1, 2, 3, 6, 6, 8, 8, 9]\n",
      "8 8 8 | 9 12 11 9 || [1, 2, 3, 6, 6, 8, 8, 9, 0]\n",
      "8 8 9 | 10 12 11 9 || [1, 2, 3, 6, 6, 8, 8, 9, 0, 7]\n",
      "16 0 0 | 0 9 7 9 || [0]\n",
      "16 0 1 | 1 9 7 9 || [0, 1]\n",
      "16 0 2 | 2 9 7 9 || [0, 1, 2]\n",
      "16 0 3 | 3 9 7 9 || [0, 1, 2, 3]\n",
      "16 0 4 | 4 9 7 9 || [0, 1, 2, 3, 6]\n",
      "16 0 5 | 5 9 7 9 || [0, 1, 2, 3, 6, 6]\n",
      "16 0 6 | 5 10 7 9 || [0, 1, 2, 3, 6, 6, 7]\n",
      "16 0 7 | 6 10 7 9 || [0, 1, 2, 3, 6, 6, 7, 8]\n",
      "16 0 8 | 7 10 7 9 || [0, 1, 2, 3, 6, 6, 7, 8, 8]\n",
      "16 0 9 | 8 10 7 9 || [0, 1, 2, 3, 6, 6, 7, 8, 8, 9]\n",
      "2 0 0 | 0 2 0 1 || [0]\n",
      "2 0 1 | 1 2 0 1 || [0, 4]\n",
      "2 2 2 | 3 3 2 3 || [0, 4, 2]\n",
      "2 2 3 | 3 4 2 3 || [0, 4, 2, 6]\n",
      "2 4 4 | 4 6 4 5 || [0, 4, 2, 6, 2]\n",
      "2 4 5 | 5 6 4 5 || [0, 4, 2, 6, 2, 6]\n",
      "2 6 6 | 6 8 6 7 || [0, 4, 2, 6, 2, 6, 4]\n",
      "2 6 7 | 7 8 6 7 || [0, 4, 2, 6, 2, 6, 4, 9]\n",
      "2 8 8 | 8 10 8 9 || [0, 4, 2, 6, 2, 6, 4, 9, 4]\n",
      "2 8 9 | 9 10 8 9 || [0, 4, 2, 6, 2, 6, 4, 9, 4, 6]\n",
      "4 0 0 | 1 2 1 3 || [0]\n",
      "4 0 1 | 1 3 1 3 || [0, 2]\n",
      "4 0 2 | 2 3 1 3 || [0, 2, 4]\n",
      "4 0 3 | 2 4 1 3 || [0, 2, 4, 6]\n",
      "4 4 4 | 5 6 5 7 || [0, 2, 4, 6, 2]\n",
      "4 4 5 | 5 7 5 7 || [0, 2, 4, 6, 2, 4]\n",
      "4 4 6 | 6 7 5 7 || [0, 2, 4, 6, 2, 4, 6]\n",
      "4 4 7 | 6 8 5 7 || [0, 2, 4, 6, 2, 4, 6, 9]\n",
      "4 8 8 | 9 10 9 9 || [0, 2, 4, 6, 2, 4, 6, 9, 4]\n",
      "4 8 9 | 10 10 9 9 || [0, 2, 4, 6, 2, 4, 6, 9, 4, 6]\n",
      "8 0 0 | 1 4 3 7 || [0]\n",
      "8 0 1 | 2 4 3 7 || [0, 2]\n",
      "8 0 2 | 2 5 3 7 || [0, 2, 2]\n",
      "8 0 3 | 3 5 3 7 || [0, 2, 2, 4]\n",
      "8 0 4 | 3 6 3 7 || [0, 2, 2, 4, 4]\n",
      "8 0 5 | 4 6 3 7 || [0, 2, 2, 4, 4, 6]\n",
      "8 0 6 | 4 7 3 7 || [0, 2, 2, 4, 4, 6, 6]\n",
      "8 0 7 | 4 8 3 7 || [0, 2, 2, 4, 4, 6, 6, 9]\n",
      "8 8 8 | 9 12 11 9 || [0, 2, 2, 4, 4, 6, 6, 9, 4]\n",
      "8 8 9 | 10 12 11 9 || [0, 2, 2, 4, 4, 6, 6, 9, 4, 6]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 2 8 7 9 || [0, 2]\n",
      "16 0 2 | 3 8 7 9 || [0, 2, 2]\n",
      "16 0 3 | 4 8 7 9 || [0, 2, 2, 4]\n",
      "16 0 4 | 5 8 7 9 || [0, 2, 2, 4, 4]\n",
      "16 0 5 | 5 9 7 9 || [0, 2, 2, 4, 4, 4]\n",
      "16 0 6 | 6 9 7 9 || [0, 2, 2, 4, 4, 4, 6]\n",
      "16 0 7 | 7 9 7 9 || [0, 2, 2, 4, 4, 4, 6, 6]\n",
      "16 0 8 | 7 10 7 9 || [0, 2, 2, 4, 4, 4, 6, 6, 6]\n",
      "16 0 9 | 8 10 7 9 || [0, 2, 2, 4, 4, 4, 6, 6, 6, 9]\n",
      "2 0 0 | 0 2 0 1 || [0]\n",
      "2 0 1 | 1 2 0 1 || [0, 9]\n",
      "2 2 2 | 2 4 2 3 || [0, 9, 0]\n",
      "2 2 3 | 3 4 2 3 || [0, 9, 0, 6]\n",
      "2 4 4 | 4 6 4 5 || [0, 9, 0, 6, 5]\n",
      "2 4 5 | 5 6 4 5 || [0, 9, 0, 6, 5, 8]\n",
      "2 6 6 | 7 7 6 7 || [0, 9, 0, 6, 5, 8, 2]\n",
      "2 6 7 | 7 8 6 7 || [0, 9, 0, 6, 5, 8, 2, 4]\n",
      "2 8 8 | 8 10 8 9 || [0, 9, 0, 6, 5, 8, 2, 4, 2]\n",
      "2 8 9 | 9 10 8 9 || [0, 9, 0, 6, 5, 8, 2, 4, 2, 7]\n",
      "4 0 0 | 1 2 1 3 || [0]\n",
      "4 0 1 | 1 3 1 3 || [0, 0]\n",
      "4 0 2 | 1 4 1 3 || [0, 0, 6]\n",
      "4 0 3 | 2 4 1 3 || [0, 0, 6, 9]\n",
      "4 4 4 | 4 7 5 7 || [0, 0, 6, 9, 2]\n",
      "4 4 5 | 4 8 5 7 || [0, 0, 6, 9, 2, 4]\n",
      "4 4 6 | 5 8 5 7 || [0, 0, 6, 9, 2, 4, 5]\n",
      "4 4 7 | 6 8 5 7 || [0, 0, 6, 9, 2, 4, 5, 8]\n",
      "4 8 8 | 9 10 9 9 || [0, 0, 6, 9, 2, 4, 5, 8, 2]\n",
      "4 8 9 | 10 10 9 9 || [0, 0, 6, 9, 2, 4, 5, 8, 2, 7]\n",
      "8 0 0 | 1 4 3 7 || [0]\n",
      "8 0 1 | 2 4 3 7 || [0, 0]\n",
      "8 0 2 | 2 5 3 7 || [0, 0, 2]\n",
      "8 0 3 | 2 6 3 7 || [0, 0, 2, 4]\n",
      "8 0 4 | 2 7 3 7 || [0, 0, 2, 4, 5]\n",
      "8 0 5 | 3 7 3 7 || [0, 0, 2, 4, 5, 6]\n",
      "8 0 6 | 3 8 3 7 || [0, 0, 2, 4, 5, 6, 8]\n",
      "8 0 7 | 4 8 3 7 || [0, 0, 2, 4, 5, 6, 8, 9]\n",
      "8 8 8 | 9 12 11 9 || [0, 0, 2, 4, 5, 6, 8, 9, 2]\n",
      "8 8 9 | 10 12 11 9 || [0, 0, 2, 4, 5, 6, 8, 9, 2, 7]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 2 8 7 9 || [0, 0]\n",
      "16 0 2 | 3 8 7 9 || [0, 0, 2]\n",
      "16 0 3 | 3 9 7 9 || [0, 0, 2, 2]\n",
      "16 0 4 | 4 9 7 9 || [0, 0, 2, 2, 4]\n",
      "16 0 5 | 5 9 7 9 || [0, 0, 2, 2, 4, 5]\n",
      "16 0 6 | 6 9 7 9 || [0, 0, 2, 2, 4, 5, 6]\n",
      "16 0 7 | 6 10 7 9 || [0, 0, 2, 2, 4, 5, 6, 7]\n",
      "16 0 8 | 7 10 7 9 || [0, 0, 2, 2, 4, 5, 6, 7, 8]\n",
      "16 0 9 | 8 10 7 9 || [0, 0, 2, 2, 4, 5, 6, 7, 8, 9]\n",
      "2 0 0 | 1 1 0 1 || [9]\n",
      "2 0 1 | 1 2 0 1 || [9, 9]\n",
      "2 2 2 | 2 4 2 3 || [9, 9, 4]\n",
      "2 2 3 | 3 4 2 3 || [9, 9, 4, 9]\n",
      "2 4 4 | 5 5 4 5 || [9, 9, 4, 9, 2]\n",
      "2 4 5 | 5 6 4 5 || [9, 9, 4, 9, 2, 8]\n",
      "2 6 6 | 6 8 6 7 || [9, 9, 4, 9, 2, 8, 2]\n",
      "2 6 7 | 7 8 6 7 || [9, 9, 4, 9, 2, 8, 2, 6]\n",
      "2 8 8 | 9 9 8 9 || [9, 9, 4, 9, 2, 8, 2, 6, 0]\n",
      "2 8 9 | 9 10 8 9 || [9, 9, 4, 9, 2, 8, 2, 6, 0, 4]\n",
      "4 0 0 | 0 3 1 3 || [4]\n",
      "4 0 1 | 1 3 1 3 || [4, 9]\n",
      "4 0 2 | 2 3 1 3 || [4, 9, 9]\n",
      "4 0 3 | 2 4 1 3 || [4, 9, 9, 9]\n",
      "4 4 4 | 5 6 5 7 || [4, 9, 9, 9, 2]\n",
      "4 4 5 | 5 7 5 7 || [4, 9, 9, 9, 2, 2]\n",
      "4 4 6 | 5 8 5 7 || [4, 9, 9, 9, 2, 2, 6]\n",
      "4 4 7 | 6 8 5 7 || [4, 9, 9, 9, 2, 2, 6, 8]\n",
      "4 8 8 | 9 10 9 9 || [4, 9, 9, 9, 2, 2, 6, 8, 0]\n",
      "4 8 9 | 10 10 9 9 || [4, 9, 9, 9, 2, 2, 6, 8, 0, 4]\n",
      "8 0 0 | 0 5 3 7 || [2]\n",
      "8 0 1 | 0 6 3 7 || [2, 2]\n",
      "8 0 2 | 1 6 3 7 || [2, 2, 4]\n",
      "8 0 3 | 1 7 3 7 || [2, 2, 4, 6]\n",
      "8 0 4 | 1 8 3 7 || [2, 2, 4, 6, 8]\n",
      "8 0 5 | 2 8 3 7 || [2, 2, 4, 6, 8, 9]\n",
      "8 0 6 | 3 8 3 7 || [2, 2, 4, 6, 8, 9, 9]\n",
      "8 0 7 | 4 8 3 7 || [2, 2, 4, 6, 8, 9, 9, 9]\n",
      "8 8 8 | 9 12 11 9 || [2, 2, 4, 6, 8, 9, 9, 9, 0]\n",
      "8 8 9 | 10 12 11 9 || [2, 2, 4, 6, 8, 9, 9, 9, 0, 4]\n",
      "16 0 0 | 0 9 7 9 || [0]\n",
      "16 0 1 | 1 9 7 9 || [0, 2]\n",
      "16 0 2 | 2 9 7 9 || [0, 2, 2]\n",
      "16 0 3 | 3 9 7 9 || [0, 2, 2, 4]\n",
      "16 0 4 | 3 10 7 9 || [0, 2, 2, 4, 4]\n",
      "16 0 5 | 4 10 7 9 || [0, 2, 2, 4, 4, 6]\n",
      "16 0 6 | 5 10 7 9 || [0, 2, 2, 4, 4, 6, 8]\n",
      "16 0 7 | 6 10 7 9 || [0, 2, 2, 4, 4, 6, 8, 9]\n",
      "16 0 8 | 7 10 7 9 || [0, 2, 2, 4, 4, 6, 8, 9, 9]\n",
      "16 0 9 | 8 10 7 9 || [0, 2, 2, 4, 4, 6, 8, 9, 9, 9]\n",
      "2 0 0 | 0 2 0 1 || [6]\n",
      "2 0 1 | 1 2 0 1 || [6, 8]\n",
      "2 2 2 | 3 3 2 3 || [6, 8, 2]\n",
      "2 2 3 | 3 4 2 3 || [6, 8, 2, 4]\n",
      "2 4 4 | 5 5 4 5 || [6, 8, 2, 4, 2]\n",
      "2 4 5 | 5 6 4 5 || [6, 8, 2, 4, 2, 7]\n",
      "2 6 6 | 6 8 6 7 || [6, 8, 2, 4, 2, 7, 2]\n",
      "2 6 7 | 7 8 6 7 || [6, 8, 2, 4, 2, 7, 2, 7]\n",
      "2 8 8 | 8 10 8 9 || [6, 8, 2, 4, 2, 7, 2, 7, 3]\n",
      "2 8 9 | 9 10 8 9 || [6, 8, 2, 4, 2, 7, 2, 7, 3, 5]\n",
      "4 0 0 | 0 3 1 3 || [2]\n",
      "4 0 1 | 0 4 1 3 || [2, 4]\n",
      "4 0 2 | 1 4 1 3 || [2, 4, 6]\n",
      "4 0 3 | 2 4 1 3 || [2, 4, 6, 8]\n",
      "4 4 4 | 5 6 5 7 || [2, 4, 6, 8, 2]\n",
      "4 4 5 | 5 7 5 7 || [2, 4, 6, 8, 2, 2]\n",
      "4 4 6 | 6 7 5 7 || [2, 4, 6, 8, 2, 2, 7]\n",
      "4 4 7 | 6 8 5 7 || [2, 4, 6, 8, 2, 2, 7, 7]\n",
      "4 8 8 | 9 10 9 9 || [2, 4, 6, 8, 2, 2, 7, 7, 3]\n",
      "4 8 9 | 10 10 9 9 || [2, 4, 6, 8, 2, 2, 7, 7, 3, 5]\n",
      "8 0 0 | 1 4 3 7 || [2]\n",
      "8 0 1 | 1 5 3 7 || [2, 2]\n",
      "8 0 2 | 1 6 3 7 || [2, 2, 2]\n",
      "8 0 3 | 2 6 3 7 || [2, 2, 2, 4]\n",
      "8 0 4 | 3 6 3 7 || [2, 2, 2, 4, 6]\n",
      "8 0 5 | 3 7 3 7 || [2, 2, 2, 4, 6, 7]\n",
      "8 0 6 | 3 8 3 7 || [2, 2, 2, 4, 6, 7, 7]\n",
      "8 0 7 | 4 8 3 7 || [2, 2, 2, 4, 6, 7, 7, 8]\n",
      "8 8 8 | 9 12 11 9 || [2, 2, 2, 4, 6, 7, 7, 8, 3]\n",
      "8 8 9 | 10 12 11 9 || [2, 2, 2, 4, 6, 7, 7, 8, 3, 5]\n",
      "16 0 0 | 1 8 7 9 || [2]\n",
      "16 0 1 | 2 8 7 9 || [2, 2]\n",
      "16 0 2 | 3 8 7 9 || [2, 2, 2]\n",
      "16 0 3 | 3 9 7 9 || [2, 2, 2, 3]\n",
      "16 0 4 | 4 9 7 9 || [2, 2, 2, 3, 4]\n",
      "16 0 5 | 4 10 7 9 || [2, 2, 2, 3, 4, 5]\n",
      "16 0 6 | 5 10 7 9 || [2, 2, 2, 3, 4, 5, 6]\n",
      "16 0 7 | 6 10 7 9 || [2, 2, 2, 3, 4, 5, 6, 7]\n",
      "16 0 8 | 7 10 7 9 || [2, 2, 2, 3, 4, 5, 6, 7, 7]\n",
      "16 0 9 | 8 10 7 9 || [2, 2, 2, 3, 4, 5, 6, 7, 7, 8]\n",
      "2 0 0 | 1 1 0 1 || [3]\n",
      "2 0 1 | 1 2 0 1 || [3, 8]\n",
      "2 2 2 | 3 3 2 3 || [3, 8, 2]\n",
      "2 2 3 | 3 4 2 3 || [3, 8, 2, 3]\n",
      "2 4 4 | 5 5 4 5 || [3, 8, 2, 3, 6]\n",
      "2 4 5 | 5 6 4 5 || [3, 8, 2, 3, 6, 7]\n",
      "2 6 6 | 7 7 6 7 || [3, 8, 2, 3, 6, 7, 2]\n",
      "2 6 7 | 7 8 6 7 || [3, 8, 2, 3, 6, 7, 2, 4]\n",
      "2 8 8 | 9 9 8 9 || [3, 8, 2, 3, 6, 7, 2, 4, 1]\n",
      "2 8 9 | 9 10 8 9 || [3, 8, 2, 3, 6, 7, 2, 4, 1, 8]\n",
      "4 0 0 | 0 3 1 3 || [2]\n",
      "4 0 1 | 1 3 1 3 || [2, 3]\n",
      "4 0 2 | 1 4 1 3 || [2, 3, 3]\n",
      "4 0 3 | 2 4 1 3 || [2, 3, 3, 8]\n",
      "4 4 4 | 4 7 5 7 || [2, 3, 3, 8, 2]\n",
      "4 4 5 | 4 8 5 7 || [2, 3, 3, 8, 2, 4]\n",
      "4 4 6 | 5 8 5 7 || [2, 3, 3, 8, 2, 4, 6]\n",
      "4 4 7 | 6 8 5 7 || [2, 3, 3, 8, 2, 4, 6, 7]\n",
      "4 8 8 | 9 10 9 9 || [2, 3, 3, 8, 2, 4, 6, 7, 1]\n",
      "4 8 9 | 10 10 9 9 || [2, 3, 3, 8, 2, 4, 6, 7, 1, 8]\n",
      "8 0 0 | 1 4 3 7 || [2]\n",
      "8 0 1 | 1 5 3 7 || [2, 2]\n",
      "8 0 2 | 2 5 3 7 || [2, 2, 3]\n",
      "8 0 3 | 3 5 3 7 || [2, 2, 3, 3]\n",
      "8 0 4 | 3 6 3 7 || [2, 2, 3, 3, 4]\n",
      "8 0 5 | 3 7 3 7 || [2, 2, 3, 3, 4, 6]\n",
      "8 0 6 | 3 8 3 7 || [2, 2, 3, 3, 4, 6, 7]\n",
      "8 0 7 | 4 8 3 7 || [2, 2, 3, 3, 4, 6, 7, 8]\n",
      "8 8 8 | 9 12 11 9 || [2, 2, 3, 3, 4, 6, 7, 8, 1]\n",
      "8 8 9 | 10 12 11 9 || [2, 2, 3, 3, 4, 6, 7, 8, 1, 8]\n",
      "16 0 0 | 0 9 7 9 || [1]\n",
      "16 0 1 | 1 9 7 9 || [1, 2]\n",
      "16 0 2 | 2 9 7 9 || [1, 2, 2]\n",
      "16 0 3 | 3 9 7 9 || [1, 2, 2, 3]\n",
      "16 0 4 | 4 9 7 9 || [1, 2, 2, 3, 3]\n",
      "16 0 5 | 5 9 7 9 || [1, 2, 2, 3, 3, 4]\n",
      "16 0 6 | 6 9 7 9 || [1, 2, 2, 3, 3, 4, 6]\n",
      "16 0 7 | 7 9 7 9 || [1, 2, 2, 3, 3, 4, 6, 7]\n",
      "16 0 8 | 8 9 7 9 || [1, 2, 2, 3, 3, 4, 6, 7, 8]\n",
      "16 0 9 | 8 10 7 9 || [1, 2, 2, 3, 3, 4, 6, 7, 8, 8]\n",
      "2 0 0 | 0 2 0 1 || [4]\n",
      "2 0 1 | 1 2 0 1 || [4, 6]\n",
      "2 2 2 | 2 4 2 3 || [4, 6, 0]\n",
      "2 2 3 | 3 4 2 3 || [4, 6, 0, 5]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2 4 4 | 4 6 4 5 || [4, 6, 0, 5, 4]\n",
      "2 4 5 | 5 6 4 5 || [4, 6, 0, 5, 4, 6]\n",
      "2 6 6 | 7 7 6 7 || [4, 6, 0, 5, 4, 6, 0]\n",
      "2 6 7 | 7 8 6 7 || [4, 6, 0, 5, 4, 6, 0, 6]\n",
      "2 8 8 | 9 9 8 9 || [4, 6, 0, 5, 4, 6, 0, 6, 0]\n",
      "2 8 9 | 9 10 8 9 || [4, 6, 0, 5, 4, 6, 0, 6, 0, 5]\n",
      "4 0 0 | 0 3 1 3 || [0]\n",
      "4 0 1 | 1 3 1 3 || [0, 4]\n",
      "4 0 2 | 1 4 1 3 || [0, 4, 5]\n",
      "4 0 3 | 2 4 1 3 || [0, 4, 5, 6]\n",
      "4 4 4 | 4 7 5 7 || [0, 4, 5, 6, 0]\n",
      "4 4 5 | 5 7 5 7 || [0, 4, 5, 6, 0, 4]\n",
      "4 4 6 | 6 7 5 7 || [0, 4, 5, 6, 0, 4, 6]\n",
      "4 4 7 | 6 8 5 7 || [0, 4, 5, 6, 0, 4, 6, 6]\n",
      "4 8 8 | 9 10 9 9 || [0, 4, 5, 6, 0, 4, 6, 6, 0]\n",
      "4 8 9 | 10 10 9 9 || [0, 4, 5, 6, 0, 4, 6, 6, 0, 5]\n",
      "8 0 0 | 1 4 3 7 || [0]\n",
      "8 0 1 | 1 5 3 7 || [0, 0]\n",
      "8 0 2 | 2 5 3 7 || [0, 0, 4]\n",
      "8 0 3 | 2 6 3 7 || [0, 0, 4, 4]\n",
      "8 0 4 | 3 6 3 7 || [0, 0, 4, 4, 5]\n",
      "8 0 5 | 4 6 3 7 || [0, 0, 4, 4, 5, 6]\n",
      "8 0 6 | 4 7 3 7 || [0, 0, 4, 4, 5, 6, 6]\n",
      "8 0 7 | 4 8 3 7 || [0, 0, 4, 4, 5, 6, 6, 6]\n",
      "8 8 8 | 9 12 11 9 || [0, 0, 4, 4, 5, 6, 6, 6, 0]\n",
      "8 8 9 | 10 12 11 9 || [0, 0, 4, 4, 5, 6, 6, 6, 0, 5]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 2 8 7 9 || [0, 0]\n",
      "16 0 2 | 2 9 7 9 || [0, 0, 0]\n",
      "16 0 3 | 3 9 7 9 || [0, 0, 0, 4]\n",
      "16 0 4 | 4 9 7 9 || [0, 0, 0, 4, 4]\n",
      "16 0 5 | 5 9 7 9 || [0, 0, 0, 4, 4, 5]\n",
      "16 0 6 | 5 10 7 9 || [0, 0, 0, 4, 4, 5, 5]\n",
      "16 0 7 | 6 10 7 9 || [0, 0, 0, 4, 4, 5, 5, 6]\n",
      "16 0 8 | 7 10 7 9 || [0, 0, 0, 4, 4, 5, 5, 6, 6]\n",
      "16 0 9 | 8 10 7 9 || [0, 0, 0, 4, 4, 5, 5, 6, 6, 6]\n",
      "2 0 0 | 1 1 0 1 || [0]\n",
      "2 0 1 | 1 2 0 1 || [0, 4]\n",
      "2 2 2 | 3 3 2 3 || [0, 4, 4]\n",
      "2 2 3 | 3 4 2 3 || [0, 4, 4, 8]\n",
      "2 4 4 | 4 6 4 5 || [0, 4, 4, 8, 1]\n",
      "2 4 5 | 5 6 4 5 || [0, 4, 4, 8, 1, 3]\n",
      "2 6 6 | 7 7 6 7 || [0, 4, 4, 8, 1, 3, 1]\n",
      "2 6 7 | 7 8 6 7 || [0, 4, 4, 8, 1, 3, 1, 1]\n",
      "2 8 8 | 8 10 8 9 || [0, 4, 4, 8, 1, 3, 1, 1, 0]\n",
      "2 8 9 | 9 10 8 9 || [0, 4, 4, 8, 1, 3, 1, 1, 0, 1]\n",
      "4 0 0 | 1 2 1 3 || [0]\n",
      "4 0 1 | 2 2 1 3 || [0, 4]\n",
      "4 0 2 | 2 3 1 3 || [0, 4, 4]\n",
      "4 0 3 | 2 4 1 3 || [0, 4, 4, 8]\n",
      "4 4 4 | 5 6 5 7 || [0, 4, 4, 8, 1]\n",
      "4 4 5 | 5 7 5 7 || [0, 4, 4, 8, 1, 1]\n",
      "4 4 6 | 5 8 5 7 || [0, 4, 4, 8, 1, 1, 1]\n",
      "4 4 7 | 6 8 5 7 || [0, 4, 4, 8, 1, 1, 1, 3]\n",
      "4 8 8 | 9 10 9 9 || [0, 4, 4, 8, 1, 1, 1, 3, 0]\n",
      "4 8 9 | 10 10 9 9 || [0, 4, 4, 8, 1, 1, 1, 3, 0, 1]\n",
      "8 0 0 | 1 4 3 7 || [0]\n",
      "8 0 1 | 1 5 3 7 || [0, 1]\n",
      "8 0 2 | 1 6 3 7 || [0, 1, 1]\n",
      "8 0 3 | 1 7 3 7 || [0, 1, 1, 1]\n",
      "8 0 4 | 1 8 3 7 || [0, 1, 1, 1, 3]\n",
      "8 0 5 | 2 8 3 7 || [0, 1, 1, 1, 3, 4]\n",
      "8 0 6 | 3 8 3 7 || [0, 1, 1, 1, 3, 4, 4]\n",
      "8 0 7 | 4 8 3 7 || [0, 1, 1, 1, 3, 4, 4, 8]\n",
      "8 8 8 | 9 12 11 9 || [0, 1, 1, 1, 3, 4, 4, 8, 0]\n",
      "8 8 9 | 10 12 11 9 || [0, 1, 1, 1, 3, 4, 4, 8, 0, 1]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 1 9 7 9 || [0, 0]\n",
      "16 0 2 | 2 9 7 9 || [0, 0, 1]\n",
      "16 0 3 | 3 9 7 9 || [0, 0, 1, 1]\n",
      "16 0 4 | 4 9 7 9 || [0, 0, 1, 1, 1]\n",
      "16 0 5 | 4 10 7 9 || [0, 0, 1, 1, 1, 1]\n",
      "16 0 6 | 5 10 7 9 || [0, 0, 1, 1, 1, 1, 3]\n",
      "16 0 7 | 6 10 7 9 || [0, 0, 1, 1, 1, 1, 3, 4]\n",
      "16 0 8 | 7 10 7 9 || [0, 0, 1, 1, 1, 1, 3, 4, 4]\n",
      "16 0 9 | 8 10 7 9 || [0, 0, 1, 1, 1, 1, 3, 4, 4, 8]\n",
      "2 0 0 | 1 1 0 1 || [9]\n",
      "2 0 1 | 1 2 0 1 || [9, 9]\n",
      "2 2 2 | 3 3 2 3 || [9, 9, 1]\n",
      "2 2 3 | 3 4 2 3 || [9, 9, 1, 6]\n",
      "2 4 4 | 5 5 4 5 || [9, 9, 1, 6, 6]\n",
      "2 4 5 | 5 6 4 5 || [9, 9, 1, 6, 6, 6]\n",
      "2 6 6 | 6 8 6 7 || [9, 9, 1, 6, 6, 6, 1]\n",
      "2 6 7 | 7 8 6 7 || [9, 9, 1, 6, 6, 6, 1, 3]\n",
      "2 8 8 | 9 9 8 9 || [9, 9, 1, 6, 6, 6, 1, 3, 0]\n",
      "2 8 9 | 9 10 8 9 || [9, 9, 1, 6, 6, 6, 1, 3, 0, 7]\n",
      "4 0 0 | 0 3 1 3 || [1]\n",
      "4 0 1 | 0 4 1 3 || [1, 6]\n",
      "4 0 2 | 1 4 1 3 || [1, 6, 9]\n",
      "4 0 3 | 2 4 1 3 || [1, 6, 9, 9]\n",
      "4 4 4 | 4 7 5 7 || [1, 6, 9, 9, 1]\n",
      "4 4 5 | 4 8 5 7 || [1, 6, 9, 9, 1, 3]\n",
      "4 4 6 | 5 8 5 7 || [1, 6, 9, 9, 1, 3, 6]\n",
      "4 4 7 | 6 8 5 7 || [1, 6, 9, 9, 1, 3, 6, 6]\n",
      "4 8 8 | 9 10 9 9 || [1, 6, 9, 9, 1, 3, 6, 6, 0]\n",
      "4 8 9 | 10 10 9 9 || [1, 6, 9, 9, 1, 3, 6, 6, 0, 7]\n",
      "8 0 0 | 1 4 3 7 || [1]\n",
      "8 0 1 | 1 5 3 7 || [1, 1]\n",
      "8 0 2 | 1 6 3 7 || [1, 1, 3]\n",
      "8 0 3 | 2 6 3 7 || [1, 1, 3, 6]\n",
      "8 0 4 | 2 7 3 7 || [1, 1, 3, 6, 6]\n",
      "8 0 5 | 2 8 3 7 || [1, 1, 3, 6, 6, 6]\n",
      "8 0 6 | 3 8 3 7 || [1, 1, 3, 6, 6, 6, 9]\n",
      "8 0 7 | 4 8 3 7 || [1, 1, 3, 6, 6, 6, 9, 9]\n",
      "8 8 8 | 9 12 11 9 || [1, 1, 3, 6, 6, 6, 9, 9, 0]\n",
      "8 8 9 | 10 12 11 9 || [1, 1, 3, 6, 6, 6, 9, 9, 0, 7]\n",
      "16 0 0 | 0 9 7 9 || [0]\n",
      "16 0 1 | 1 9 7 9 || [0, 1]\n",
      "16 0 2 | 2 9 7 9 || [0, 1, 1]\n",
      "16 0 3 | 3 9 7 9 || [0, 1, 1, 3]\n",
      "16 0 4 | 4 9 7 9 || [0, 1, 1, 3, 6]\n",
      "16 0 5 | 5 9 7 9 || [0, 1, 1, 3, 6, 6]\n",
      "16 0 6 | 6 9 7 9 || [0, 1, 1, 3, 6, 6, 6]\n",
      "16 0 7 | 6 10 7 9 || [0, 1, 1, 3, 6, 6, 6, 7]\n",
      "16 0 8 | 7 10 7 9 || [0, 1, 1, 3, 6, 6, 6, 7, 9]\n",
      "16 0 9 | 8 10 7 9 || [0, 1, 1, 3, 6, 6, 6, 7, 9, 9]\n",
      "2 0 0 | 1 1 0 1 || [0]\n",
      "2 0 1 | 1 2 0 1 || [0, 8]\n",
      "2 2 2 | 3 3 2 3 || [0, 8, 6]\n",
      "2 2 3 | 3 4 2 3 || [0, 8, 6, 8]\n",
      "2 4 4 | 4 6 4 5 || [0, 8, 6, 8, 4]\n",
      "2 4 5 | 5 6 4 5 || [0, 8, 6, 8, 4, 8]\n",
      "2 6 6 | 6 8 6 7 || [0, 8, 6, 8, 4, 8, 1]\n",
      "2 6 7 | 7 8 6 7 || [0, 8, 6, 8, 4, 8, 1, 9]\n",
      "2 8 8 | 8 10 8 9 || [0, 8, 6, 8, 4, 8, 1, 9, 0]\n",
      "2 8 9 | 9 10 8 9 || [0, 8, 6, 8, 4, 8, 1, 9, 0, 7]\n",
      "4 0 0 | 1 2 1 3 || [0]\n",
      "4 0 1 | 1 3 1 3 || [0, 6]\n",
      "4 0 2 | 2 3 1 3 || [0, 6, 8]\n",
      "4 0 3 | 2 4 1 3 || [0, 6, 8, 8]\n",
      "4 4 4 | 4 7 5 7 || [0, 6, 8, 8, 1]\n",
      "4 4 5 | 5 7 5 7 || [0, 6, 8, 8, 1, 4]\n",
      "4 4 6 | 6 7 5 7 || [0, 6, 8, 8, 1, 4, 8]\n",
      "4 4 7 | 6 8 5 7 || [0, 6, 8, 8, 1, 4, 8, 9]\n",
      "4 8 8 | 9 10 9 9 || [0, 6, 8, 8, 1, 4, 8, 9, 0]\n",
      "4 8 9 | 10 10 9 9 || [0, 6, 8, 8, 1, 4, 8, 9, 0, 7]\n",
      "8 0 0 | 1 4 3 7 || [0]\n",
      "8 0 1 | 1 5 3 7 || [0, 1]\n",
      "8 0 2 | 1 6 3 7 || [0, 1, 4]\n",
      "8 0 3 | 2 6 3 7 || [0, 1, 4, 6]\n",
      "8 0 4 | 3 6 3 7 || [0, 1, 4, 6, 8]\n",
      "8 0 5 | 4 6 3 7 || [0, 1, 4, 6, 8, 8]\n",
      "8 0 6 | 4 7 3 7 || [0, 1, 4, 6, 8, 8, 8]\n",
      "8 0 7 | 4 8 3 7 || [0, 1, 4, 6, 8, 8, 8, 9]\n",
      "8 8 8 | 9 12 11 9 || [0, 1, 4, 6, 8, 8, 8, 9, 0]\n",
      "8 8 9 | 10 12 11 9 || [0, 1, 4, 6, 8, 8, 8, 9, 0, 7]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 1 9 7 9 || [0, 0]\n",
      "16 0 2 | 2 9 7 9 || [0, 0, 1]\n",
      "16 0 3 | 3 9 7 9 || [0, 0, 1, 4]\n",
      "16 0 4 | 4 9 7 9 || [0, 0, 1, 4, 6]\n",
      "16 0 5 | 4 10 7 9 || [0, 0, 1, 4, 6, 7]\n",
      "16 0 6 | 5 10 7 9 || [0, 0, 1, 4, 6, 7, 8]\n",
      "16 0 7 | 6 10 7 9 || [0, 0, 1, 4, 6, 7, 8, 8]\n",
      "16 0 8 | 7 10 7 9 || [0, 0, 1, 4, 6, 7, 8, 8, 8]\n",
      "16 0 9 | 8 10 7 9 || [0, 0, 1, 4, 6, 7, 8, 8, 8, 9]\n",
      "2 0 0 | 0 2 0 1 || [0]\n",
      "2 0 1 | 1 2 0 1 || [0, 6]\n",
      "2 2 2 | 3 3 2 3 || [0, 6, 7]\n",
      "2 2 3 | 3 4 2 3 || [0, 6, 7, 9]\n",
      "2 4 4 | 5 5 4 5 || [0, 6, 7, 9, 6]\n",
      "2 4 5 | 5 6 4 5 || [0, 6, 7, 9, 6, 6]\n",
      "2 6 6 | 7 7 6 7 || [0, 6, 7, 9, 6, 6, 1]\n",
      "2 6 7 | 7 8 6 7 || [0, 6, 7, 9, 6, 6, 1, 8]\n",
      "2 8 8 | 8 10 8 9 || [0, 6, 7, 9, 6, 6, 1, 8, 0]\n",
      "2 8 9 | 9 10 8 9 || [0, 6, 7, 9, 6, 6, 1, 8, 0, 3]\n",
      "4 0 0 | 1 2 1 3 || [0]\n",
      "4 0 1 | 2 2 1 3 || [0, 6]\n",
      "4 0 2 | 2 3 1 3 || [0, 6, 7]\n",
      "4 0 3 | 2 4 1 3 || [0, 6, 7, 9]\n",
      "4 4 4 | 4 7 5 7 || [0, 6, 7, 9, 1]\n",
      "4 4 5 | 5 7 5 7 || [0, 6, 7, 9, 1, 6]\n",
      "4 4 6 | 6 7 5 7 || [0, 6, 7, 9, 1, 6, 6]\n",
      "4 4 7 | 6 8 5 7 || [0, 6, 7, 9, 1, 6, 6, 8]\n",
      "4 8 8 | 9 10 9 9 || [0, 6, 7, 9, 1, 6, 6, 8, 0]\n",
      "4 8 9 | 10 10 9 9 || [0, 6, 7, 9, 1, 6, 6, 8, 0, 3]\n",
      "8 0 0 | 1 4 3 7 || [0]\n",
      "8 0 1 | 1 5 3 7 || [0, 1]\n",
      "8 0 2 | 2 5 3 7 || [0, 1, 6]\n",
      "8 0 3 | 2 6 3 7 || [0, 1, 6, 6]\n",
      "8 0 4 | 2 7 3 7 || [0, 1, 6, 6, 6]\n",
      "8 0 5 | 3 7 3 7 || [0, 1, 6, 6, 6, 7]\n",
      "8 0 6 | 3 8 3 7 || [0, 1, 6, 6, 6, 7, 8]\n",
      "8 0 7 | 4 8 3 7 || [0, 1, 6, 6, 6, 7, 8, 9]\n",
      "8 8 8 | 9 12 11 9 || [0, 1, 6, 6, 6, 7, 8, 9, 0]\n",
      "8 8 9 | 10 12 11 9 || [0, 1, 6, 6, 6, 7, 8, 9, 0, 3]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 1 9 7 9 || [0, 0]\n",
      "16 0 2 | 2 9 7 9 || [0, 0, 1]\n",
      "16 0 3 | 2 10 7 9 || [0, 0, 1, 3]\n",
      "16 0 4 | 3 10 7 9 || [0, 0, 1, 3, 6]\n",
      "16 0 5 | 4 10 7 9 || [0, 0, 1, 3, 6, 6]\n",
      "16 0 6 | 5 10 7 9 || [0, 0, 1, 3, 6, 6, 6]\n",
      "16 0 7 | 6 10 7 9 || [0, 0, 1, 3, 6, 6, 6, 7]\n",
      "16 0 8 | 7 10 7 9 || [0, 0, 1, 3, 6, 6, 6, 7, 8]\n",
      "16 0 9 | 8 10 7 9 || [0, 0, 1, 3, 6, 6, 6, 7, 8, 9]\n",
      "2 0 0 | 1 1 0 1 || [1]\n",
      "2 0 1 | 1 2 0 1 || [1, 5]\n",
      "2 2 2 | 3 3 2 3 || [1, 5, 0]\n",
      "2 2 3 | 3 4 2 3 || [1, 5, 0, 5]\n",
      "2 4 4 | 4 6 4 5 || [1, 5, 0, 5, 4]\n",
      "2 4 5 | 5 6 4 5 || [1, 5, 0, 5, 4, 7]\n",
      "2 6 6 | 6 8 6 7 || [1, 5, 0, 5, 4, 7, 7]\n",
      "2 6 7 | 7 8 6 7 || [1, 5, 0, 5, 4, 7, 7, 8]\n",
      "2 8 8 | 8 10 8 9 || [1, 5, 0, 5, 4, 7, 7, 8, 6]\n",
      "2 8 9 | 9 10 8 9 || [1, 5, 0, 5, 4, 7, 7, 8, 6, 7]\n",
      "4 0 0 | 0 3 1 3 || [0]\n",
      "4 0 1 | 1 3 1 3 || [0, 1]\n",
      "4 0 2 | 2 3 1 3 || [0, 1, 5]\n",
      "4 0 3 | 2 4 1 3 || [0, 1, 5, 5]\n",
      "4 4 4 | 5 6 5 7 || [0, 1, 5, 5, 4]\n",
      "4 4 5 | 6 6 5 7 || [0, 1, 5, 5, 4, 7]\n",
      "4 4 6 | 6 7 5 7 || [0, 1, 5, 5, 4, 7, 7]\n",
      "4 4 7 | 6 8 5 7 || [0, 1, 5, 5, 4, 7, 7, 8]\n",
      "4 8 8 | 9 10 9 9 || [0, 1, 5, 5, 4, 7, 7, 8, 6]\n",
      "4 8 9 | 10 10 9 9 || [0, 1, 5, 5, 4, 7, 7, 8, 6, 7]\n",
      "8 0 0 | 1 4 3 7 || [0]\n",
      "8 0 1 | 2 4 3 7 || [0, 1]\n",
      "8 0 2 | 2 5 3 7 || [0, 1, 4]\n",
      "8 0 3 | 3 5 3 7 || [0, 1, 4, 5]\n",
      "8 0 4 | 4 5 3 7 || [0, 1, 4, 5, 5]\n",
      "8 0 5 | 4 6 3 7 || [0, 1, 4, 5, 5, 7]\n",
      "8 0 6 | 4 7 3 7 || [0, 1, 4, 5, 5, 7, 7]\n",
      "8 0 7 | 4 8 3 7 || [0, 1, 4, 5, 5, 7, 7, 8]\n",
      "8 8 8 | 9 12 11 9 || [0, 1, 4, 5, 5, 7, 7, 8, 6]\n",
      "8 8 9 | 10 12 11 9 || [0, 1, 4, 5, 5, 7, 7, 8, 6, 7]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 2 8 7 9 || [0, 1]\n",
      "16 0 2 | 3 8 7 9 || [0, 1, 4]\n",
      "16 0 3 | 4 8 7 9 || [0, 1, 4, 5]\n",
      "16 0 4 | 5 8 7 9 || [0, 1, 4, 5, 5]\n",
      "16 0 5 | 5 9 7 9 || [0, 1, 4, 5, 5, 6]\n",
      "16 0 6 | 6 9 7 9 || [0, 1, 4, 5, 5, 6, 7]\n",
      "16 0 7 | 7 9 7 9 || [0, 1, 4, 5, 5, 6, 7, 7]\n",
      "16 0 8 | 7 10 7 9 || [0, 1, 4, 5, 5, 6, 7, 7, 7]\n",
      "16 0 9 | 8 10 7 9 || [0, 1, 4, 5, 5, 6, 7, 7, 7, 8]\n",
      "2 0 0 | 0 2 0 1 || [6]\n",
      "2 0 1 | 1 2 0 1 || [6, 8]\n",
      "2 2 2 | 2 4 2 3 || [6, 8, 5]\n",
      "2 2 3 | 3 4 2 3 || [6, 8, 5, 7]\n",
      "2 4 4 | 4 6 4 5 || [6, 8, 5, 7, 8]\n",
      "2 4 5 | 5 6 4 5 || [6, 8, 5, 7, 8, 9]\n",
      "2 6 6 | 6 8 6 7 || [6, 8, 5, 7, 8, 9, 7]\n",
      "2 6 7 | 7 8 6 7 || [6, 8, 5, 7, 8, 9, 7, 8]\n",
      "2 8 8 | 8 10 8 9 || [6, 8, 5, 7, 8, 9, 7, 8, 0]\n",
      "2 8 9 | 9 10 8 9 || [6, 8, 5, 7, 8, 9, 7, 8, 0, 8]\n",
      "4 0 0 | 0 3 1 3 || [5]\n",
      "4 0 1 | 1 3 1 3 || [5, 6]\n",
      "4 0 2 | 1 4 1 3 || [5, 6, 7]\n",
      "4 0 3 | 2 4 1 3 || [5, 6, 7, 8]\n",
      "4 4 4 | 4 7 5 7 || [5, 6, 7, 8, 7]\n",
      "4 4 5 | 5 7 5 7 || [5, 6, 7, 8, 7, 8]\n",
      "4 4 6 | 5 8 5 7 || [5, 6, 7, 8, 7, 8, 8]\n",
      "4 4 7 | 6 8 5 7 || [5, 6, 7, 8, 7, 8, 8, 9]\n",
      "4 8 8 | 9 10 9 9 || [5, 6, 7, 8, 7, 8, 8, 9, 0]\n",
      "4 8 9 | 10 10 9 9 || [5, 6, 7, 8, 7, 8, 8, 9, 0, 8]\n",
      "8 0 0 | 1 4 3 7 || [5]\n",
      "8 0 1 | 2 4 3 7 || [5, 6]\n",
      "8 0 2 | 3 4 3 7 || [5, 6, 7]\n",
      "8 0 3 | 3 5 3 7 || [5, 6, 7, 7]\n",
      "8 0 4 | 4 5 3 7 || [5, 6, 7, 7, 8]\n",
      "8 0 5 | 4 6 3 7 || [5, 6, 7, 7, 8, 8]\n",
      "8 0 6 | 4 7 3 7 || [5, 6, 7, 7, 8, 8, 8]\n",
      "8 0 7 | 4 8 3 7 || [5, 6, 7, 7, 8, 8, 8, 9]\n",
      "8 8 8 | 9 12 11 9 || [5, 6, 7, 7, 8, 8, 8, 9, 0]\n",
      "8 8 9 | 10 12 11 9 || [5, 6, 7, 7, 8, 8, 8, 9, 0, 8]\n",
      "16 0 0 | 0 9 7 9 || [0]\n",
      "16 0 1 | 1 9 7 9 || [0, 5]\n",
      "16 0 2 | 2 9 7 9 || [0, 5, 6]\n",
      "16 0 3 | 3 9 7 9 || [0, 5, 6, 7]\n",
      "16 0 4 | 4 9 7 9 || [0, 5, 6, 7, 7]\n",
      "16 0 5 | 5 9 7 9 || [0, 5, 6, 7, 7, 8]\n",
      "16 0 6 | 6 9 7 9 || [0, 5, 6, 7, 7, 8, 8]\n",
      "16 0 7 | 7 9 7 9 || [0, 5, 6, 7, 7, 8, 8, 8]\n",
      "16 0 8 | 7 10 7 9 || [0, 5, 6, 7, 7, 8, 8, 8, 8]\n",
      "16 0 9 | 8 10 7 9 || [0, 5, 6, 7, 7, 8, 8, 8, 8, 9]\n",
      "2 0 0 | 0 2 0 1 || [3]\n",
      "2 0 1 | 1 2 0 1 || [3, 6]\n",
      "2 2 2 | 2 4 2 3 || [3, 6, 0]\n",
      "2 2 3 | 3 4 2 3 || [3, 6, 0, 2]\n",
      "2 4 4 | 4 6 4 5 || [3, 6, 0, 2, 2]\n",
      "2 4 5 | 5 6 4 5 || [3, 6, 0, 2, 2, 4]\n",
      "2 6 6 | 6 8 6 7 || [3, 6, 0, 2, 2, 4, 1]\n",
      "2 6 7 | 7 8 6 7 || [3, 6, 0, 2, 2, 4, 1, 6]\n",
      "2 8 8 | 9 9 8 9 || [3, 6, 0, 2, 2, 4, 1, 6, 2]\n",
      "2 8 9 | 9 10 8 9 || [3, 6, 0, 2, 2, 4, 1, 6, 2, 7]\n",
      "4 0 0 | 0 3 1 3 || [0]\n",
      "4 0 1 | 0 4 1 3 || [0, 2]\n",
      "4 0 2 | 1 4 1 3 || [0, 2, 3]\n",
      "4 0 3 | 2 4 1 3 || [0, 2, 3, 6]\n",
      "4 4 4 | 4 7 5 7 || [0, 2, 3, 6, 1]\n",
      "4 4 5 | 5 7 5 7 || [0, 2, 3, 6, 1, 2]\n",
      "4 4 6 | 6 7 5 7 || [0, 2, 3, 6, 1, 2, 4]\n",
      "4 4 7 | 6 8 5 7 || [0, 2, 3, 6, 1, 2, 4, 6]\n",
      "4 8 8 | 9 10 9 9 || [0, 2, 3, 6, 1, 2, 4, 6, 2]\n",
      "4 8 9 | 10 10 9 9 || [0, 2, 3, 6, 1, 2, 4, 6, 2, 7]\n",
      "8 0 0 | 1 4 3 7 || [0]\n",
      "8 0 1 | 1 5 3 7 || [0, 1]\n",
      "8 0 2 | 2 5 3 7 || [0, 1, 2]\n",
      "8 0 3 | 2 6 3 7 || [0, 1, 2, 2]\n",
      "8 0 4 | 3 6 3 7 || [0, 1, 2, 2, 3]\n",
      "8 0 5 | 3 7 3 7 || [0, 1, 2, 2, 3, 4]\n",
      "8 0 6 | 4 7 3 7 || [0, 1, 2, 2, 3, 4, 6]\n",
      "8 0 7 | 4 8 3 7 || [0, 1, 2, 2, 3, 4, 6, 6]\n",
      "8 8 8 | 9 12 11 9 || [0, 1, 2, 2, 3, 4, 6, 6, 2]\n",
      "8 8 9 | 10 12 11 9 || [0, 1, 2, 2, 3, 4, 6, 6, 2, 7]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 2 8 7 9 || [0, 1]\n",
      "16 0 2 | 3 8 7 9 || [0, 1, 2]\n",
      "16 0 3 | 4 8 7 9 || [0, 1, 2, 2]\n",
      "16 0 4 | 4 9 7 9 || [0, 1, 2, 2, 2]\n",
      "16 0 5 | 5 9 7 9 || [0, 1, 2, 2, 2, 3]\n",
      "16 0 6 | 6 9 7 9 || [0, 1, 2, 2, 2, 3, 4]\n",
      "16 0 7 | 7 9 7 9 || [0, 1, 2, 2, 2, 3, 4, 6]\n",
      "16 0 8 | 8 9 7 9 || [0, 1, 2, 2, 2, 3, 4, 6, 6]\n",
      "16 0 9 | 8 10 7 9 || [0, 1, 2, 2, 2, 3, 4, 6, 6, 7]\n",
      "2 0 0 | 0 2 0 1 || [5]\n",
      "2 0 1 | 1 2 0 1 || [5, 7]\n",
      "2 2 2 | 2 4 2 3 || [5, 7, 0]\n",
      "2 2 3 | 3 4 2 3 || [5, 7, 0, 3]\n",
      "2 4 4 | 5 5 4 5 || [5, 7, 0, 3, 2]\n",
      "2 4 5 | 5 6 4 5 || [5, 7, 0, 3, 2, 9]\n",
      "2 6 6 | 6 8 6 7 || [5, 7, 0, 3, 2, 9, 8]\n",
      "2 6 7 | 7 8 6 7 || [5, 7, 0, 3, 2, 9, 8, 9]\n",
      "2 8 8 | 9 9 8 9 || [5, 7, 0, 3, 2, 9, 8, 9, 7]\n",
      "2 8 9 | 9 10 8 9 || [5, 7, 0, 3, 2, 9, 8, 9, 7, 8]\n",
      "4 0 0 | 0 3 1 3 || [0]\n",
      "4 0 1 | 0 4 1 3 || [0, 3]\n",
      "4 0 2 | 1 4 1 3 || [0, 3, 5]\n",
      "4 0 3 | 2 4 1 3 || [0, 3, 5, 7]\n",
      "4 4 4 | 5 6 5 7 || [0, 3, 5, 7, 2]\n",
      "4 4 5 | 5 7 5 7 || [0, 3, 5, 7, 2, 8]\n",
      "4 4 6 | 6 7 5 7 || [0, 3, 5, 7, 2, 8, 9]\n",
      "4 4 7 | 6 8 5 7 || [0, 3, 5, 7, 2, 8, 9, 9]\n",
      "4 8 8 | 9 10 9 9 || [0, 3, 5, 7, 2, 8, 9, 9, 7]\n",
      "4 8 9 | 10 10 9 9 || [0, 3, 5, 7, 2, 8, 9, 9, 7, 8]\n",
      "8 0 0 | 1 4 3 7 || [0]\n",
      "8 0 1 | 1 5 3 7 || [0, 2]\n",
      "8 0 2 | 2 5 3 7 || [0, 2, 3]\n",
      "8 0 3 | 3 5 3 7 || [0, 2, 3, 5]\n",
      "8 0 4 | 4 5 3 7 || [0, 2, 3, 5, 7]\n",
      "8 0 5 | 4 6 3 7 || [0, 2, 3, 5, 7, 8]\n",
      "8 0 6 | 4 7 3 7 || [0, 2, 3, 5, 7, 8, 9]\n",
      "8 0 7 | 4 8 3 7 || [0, 2, 3, 5, 7, 8, 9, 9]\n",
      "8 8 8 | 9 12 11 9 || [0, 2, 3, 5, 7, 8, 9, 9, 7]\n",
      "8 8 9 | 10 12 11 9 || [0, 2, 3, 5, 7, 8, 9, 9, 7, 8]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 2 8 7 9 || [0, 2]\n",
      "16 0 2 | 3 8 7 9 || [0, 2, 3]\n",
      "16 0 3 | 4 8 7 9 || [0, 2, 3, 5]\n",
      "16 0 4 | 5 8 7 9 || [0, 2, 3, 5, 7]\n",
      "16 0 5 | 5 9 7 9 || [0, 2, 3, 5, 7, 7]\n",
      "16 0 6 | 6 9 7 9 || [0, 2, 3, 5, 7, 7, 8]\n",
      "16 0 7 | 6 10 7 9 || [0, 2, 3, 5, 7, 7, 8, 8]\n",
      "16 0 8 | 7 10 7 9 || [0, 2, 3, 5, 7, 7, 8, 8, 9]\n",
      "16 0 9 | 8 10 7 9 || [0, 2, 3, 5, 7, 7, 8, 8, 9, 9]\n",
      "2 0 0 | 1 1 0 1 || [5]\n",
      "2 0 1 | 1 2 0 1 || [5, 6]\n",
      "2 2 2 | 3 3 2 3 || [5, 6, 5]\n",
      "2 2 3 | 3 4 2 3 || [5, 6, 5, 8]\n",
      "2 4 4 | 5 5 4 5 || [5, 6, 5, 8, 6]\n",
      "2 4 5 | 5 6 4 5 || [5, 6, 5, 8, 6, 7]\n",
      "2 6 6 | 7 7 6 7 || [5, 6, 5, 8, 6, 7, 0]\n",
      "2 6 7 | 7 8 6 7 || [5, 6, 5, 8, 6, 7, 0, 4]\n",
      "2 8 8 | 9 9 8 9 || [5, 6, 5, 8, 6, 7, 0, 4, 1]\n",
      "2 8 9 | 9 10 8 9 || [5, 6, 5, 8, 6, 7, 0, 4, 1, 4]\n",
      "4 0 0 | 1 2 1 3 || [5]\n",
      "4 0 1 | 1 3 1 3 || [5, 5]\n",
      "4 0 2 | 2 3 1 3 || [5, 5, 6]\n",
      "4 0 3 | 2 4 1 3 || [5, 5, 6, 8]\n",
      "4 4 4 | 4 7 5 7 || [5, 5, 6, 8, 0]\n",
      "4 4 5 | 4 8 5 7 || [5, 5, 6, 8, 0, 4]\n",
      "4 4 6 | 5 8 5 7 || [5, 5, 6, 8, 0, 4, 6]\n",
      "4 4 7 | 6 8 5 7 || [5, 5, 6, 8, 0, 4, 6, 7]\n",
      "4 8 8 | 9 10 9 9 || [5, 5, 6, 8, 0, 4, 6, 7, 1]\n",
      "4 8 9 | 10 10 9 9 || [5, 5, 6, 8, 0, 4, 6, 7, 1, 4]\n",
      "8 0 0 | 0 5 3 7 || [0]\n",
      "8 0 1 | 0 6 3 7 || [0, 4]\n",
      "8 0 2 | 1 6 3 7 || [0, 4, 5]\n",
      "8 0 3 | 2 6 3 7 || [0, 4, 5, 5]\n",
      "8 0 4 | 3 6 3 7 || [0, 4, 5, 5, 6]\n",
      "8 0 5 | 3 7 3 7 || [0, 4, 5, 5, 6, 6]\n",
      "8 0 6 | 3 8 3 7 || [0, 4, 5, 5, 6, 6, 7]\n",
      "8 0 7 | 4 8 3 7 || [0, 4, 5, 5, 6, 6, 7, 8]\n",
      "8 8 8 | 9 12 11 9 || [0, 4, 5, 5, 6, 6, 7, 8, 1]\n",
      "8 8 9 | 10 12 11 9 || [0, 4, 5, 5, 6, 6, 7, 8, 1, 4]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 1 9 7 9 || [0, 1]\n",
      "16 0 2 | 2 9 7 9 || [0, 1, 4]\n",
      "16 0 3 | 2 10 7 9 || [0, 1, 4, 4]\n",
      "16 0 4 | 3 10 7 9 || [0, 1, 4, 4, 5]\n",
      "16 0 5 | 4 10 7 9 || [0, 1, 4, 4, 5, 5]\n",
      "16 0 6 | 5 10 7 9 || [0, 1, 4, 4, 5, 5, 6]\n",
      "16 0 7 | 6 10 7 9 || [0, 1, 4, 4, 5, 5, 6, 6]\n",
      "16 0 8 | 7 10 7 9 || [0, 1, 4, 4, 5, 5, 6, 6, 7]\n",
      "16 0 9 | 8 10 7 9 || [0, 1, 4, 4, 5, 5, 6, 6, 7, 8]\n",
      "2 0 0 | 1 1 0 1 || [2]\n",
      "2 0 1 | 1 2 0 1 || [2, 6]\n",
      "2 2 2 | 3 3 2 3 || [2, 6, 0]\n",
      "2 2 3 | 3 4 2 3 || [2, 6, 0, 0]\n",
      "2 4 4 | 4 6 4 5 || [2, 6, 0, 0, 0]\n",
      "2 4 5 | 5 6 4 5 || [2, 6, 0, 0, 0, 4]\n",
      "2 6 6 | 7 7 6 7 || [2, 6, 0, 0, 0, 4, 6]\n",
      "2 6 7 | 7 8 6 7 || [2, 6, 0, 0, 0, 4, 6, 9]\n",
      "2 8 8 | 9 9 8 9 || [2, 6, 0, 0, 0, 4, 6, 9, 4]\n",
      "2 8 9 | 9 10 8 9 || [2, 6, 0, 0, 0, 4, 6, 9, 4, 5]\n",
      "4 0 0 | 0 3 1 3 || [0]\n",
      "4 0 1 | 0 4 1 3 || [0, 0]\n",
      "4 0 2 | 1 4 1 3 || [0, 0, 2]\n",
      "4 0 3 | 2 4 1 3 || [0, 0, 2, 6]\n",
      "4 4 4 | 5 6 5 7 || [0, 0, 2, 6, 0]\n",
      "4 4 5 | 6 6 5 7 || [0, 0, 2, 6, 0, 4]\n",
      "4 4 6 | 6 7 5 7 || [0, 0, 2, 6, 0, 4, 6]\n",
      "4 4 7 | 6 8 5 7 || [0, 0, 2, 6, 0, 4, 6, 9]\n",
      "4 8 8 | 9 10 9 9 || [0, 0, 2, 6, 0, 4, 6, 9, 4]\n",
      "4 8 9 | 10 10 9 9 || [0, 0, 2, 6, 0, 4, 6, 9, 4, 5]\n",
      "8 0 0 | 1 4 3 7 || [0]\n",
      "8 0 1 | 2 4 3 7 || [0, 0]\n",
      "8 0 2 | 2 5 3 7 || [0, 0, 0]\n",
      "8 0 3 | 3 5 3 7 || [0, 0, 0, 2]\n",
      "8 0 4 | 3 6 3 7 || [0, 0, 0, 2, 4]\n",
      "8 0 5 | 4 6 3 7 || [0, 0, 0, 2, 4, 6]\n",
      "8 0 6 | 4 7 3 7 || [0, 0, 0, 2, 4, 6, 6]\n",
      "8 0 7 | 4 8 3 7 || [0, 0, 0, 2, 4, 6, 6, 9]\n",
      "8 8 8 | 9 12 11 9 || [0, 0, 0, 2, 4, 6, 6, 9, 4]\n",
      "8 8 9 | 10 12 11 9 || [0, 0, 0, 2, 4, 6, 6, 9, 4, 5]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 2 8 7 9 || [0, 0]\n",
      "16 0 2 | 3 8 7 9 || [0, 0, 0]\n",
      "16 0 3 | 4 8 7 9 || [0, 0, 0, 2]\n",
      "16 0 4 | 5 8 7 9 || [0, 0, 0, 2, 4]\n",
      "16 0 5 | 5 9 7 9 || [0, 0, 0, 2, 4, 4]\n",
      "16 0 6 | 5 10 7 9 || [0, 0, 0, 2, 4, 4, 5]\n",
      "16 0 7 | 6 10 7 9 || [0, 0, 0, 2, 4, 4, 5, 6]\n",
      "16 0 8 | 7 10 7 9 || [0, 0, 0, 2, 4, 4, 5, 6, 6]\n",
      "16 0 9 | 8 10 7 9 || [0, 0, 0, 2, 4, 4, 5, 6, 6, 9]\n",
      "2 0 0 | 1 1 0 1 || [0]\n",
      "2 0 1 | 1 2 0 1 || [0, 0]\n",
      "2 2 2 | 3 3 2 3 || [0, 0, 7]\n",
      "2 2 3 | 3 4 2 3 || [0, 0, 7, 9]\n",
      "2 4 4 | 5 5 4 5 || [0, 0, 7, 9, 4]\n",
      "2 4 5 | 5 6 4 5 || [0, 0, 7, 9, 4, 5]\n",
      "2 6 6 | 7 7 6 7 || [0, 0, 7, 9, 4, 5, 3]\n",
      "2 6 7 | 7 8 6 7 || [0, 0, 7, 9, 4, 5, 3, 8]\n",
      "2 8 8 | 9 9 8 9 || [0, 0, 7, 9, 4, 5, 3, 8, 1]\n",
      "2 8 9 | 9 10 8 9 || [0, 0, 7, 9, 4, 5, 3, 8, 1, 2]\n",
      "4 0 0 | 1 2 1 3 || [0]\n",
      "4 0 1 | 2 2 1 3 || [0, 0]\n",
      "4 0 2 | 2 3 1 3 || [0, 0, 7]\n",
      "4 0 3 | 2 4 1 3 || [0, 0, 7, 9]\n",
      "4 4 4 | 4 7 5 7 || [0, 0, 7, 9, 3]\n",
      "4 4 5 | 5 7 5 7 || [0, 0, 7, 9, 3, 4]\n",
      "4 4 6 | 6 7 5 7 || [0, 0, 7, 9, 3, 4, 5]\n",
      "4 4 7 | 6 8 5 7 || [0, 0, 7, 9, 3, 4, 5, 8]\n",
      "4 8 8 | 9 10 9 9 || [0, 0, 7, 9, 3, 4, 5, 8, 1]\n",
      "4 8 9 | 10 10 9 9 || [0, 0, 7, 9, 3, 4, 5, 8, 1, 2]\n",
      "8 0 0 | 1 4 3 7 || [0]\n",
      "8 0 1 | 2 4 3 7 || [0, 0]\n",
      "8 0 2 | 2 5 3 7 || [0, 0, 3]\n",
      "8 0 3 | 2 6 3 7 || [0, 0, 3, 4]\n",
      "8 0 4 | 2 7 3 7 || [0, 0, 3, 4, 5]\n",
      "8 0 5 | 3 7 3 7 || [0, 0, 3, 4, 5, 7]\n",
      "8 0 6 | 3 8 3 7 || [0, 0, 3, 4, 5, 7, 8]\n",
      "8 0 7 | 4 8 3 7 || [0, 0, 3, 4, 5, 7, 8, 9]\n",
      "8 8 8 | 9 12 11 9 || [0, 0, 3, 4, 5, 7, 8, 9, 1]\n",
      "8 8 9 | 10 12 11 9 || [0, 0, 3, 4, 5, 7, 8, 9, 1, 2]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 2 8 7 9 || [0, 0]\n",
      "16 0 2 | 2 9 7 9 || [0, 0, 1]\n",
      "16 0 3 | 2 10 7 9 || [0, 0, 1, 2]\n",
      "16 0 4 | 3 10 7 9 || [0, 0, 1, 2, 3]\n",
      "16 0 5 | 4 10 7 9 || [0, 0, 1, 2, 3, 4]\n",
      "16 0 6 | 5 10 7 9 || [0, 0, 1, 2, 3, 4, 5]\n",
      "16 0 7 | 6 10 7 9 || [0, 0, 1, 2, 3, 4, 5, 7]\n",
      "16 0 8 | 7 10 7 9 || [0, 0, 1, 2, 3, 4, 5, 7, 8]\n",
      "16 0 9 | 8 10 7 9 || [0, 0, 1, 2, 3, 4, 5, 7, 8, 9]\n",
      "2 0 0 | 1 1 0 1 || [1]\n",
      "2 0 1 | 1 2 0 1 || [1, 3]\n",
      "2 2 2 | 3 3 2 3 || [1, 3, 0]\n",
      "2 2 3 | 3 4 2 3 || [1, 3, 0, 5]\n",
      "2 4 4 | 5 5 4 5 || [1, 3, 0, 5, 3]\n",
      "2 4 5 | 5 6 4 5 || [1, 3, 0, 5, 3, 4]\n",
      "2 6 6 | 7 7 6 7 || [1, 3, 0, 5, 3, 4, 3]\n",
      "2 6 7 | 7 8 6 7 || [1, 3, 0, 5, 3, 4, 3, 9]\n",
      "2 8 8 | 9 9 8 9 || [1, 3, 0, 5, 3, 4, 3, 9, 1]\n",
      "2 8 9 | 9 10 8 9 || [1, 3, 0, 5, 3, 4, 3, 9, 1, 7]\n",
      "4 0 0 | 0 3 1 3 || [0]\n",
      "4 0 1 | 1 3 1 3 || [0, 1]\n",
      "4 0 2 | 2 3 1 3 || [0, 1, 3]\n",
      "4 0 3 | 2 4 1 3 || [0, 1, 3, 5]\n",
      "4 4 4 | 5 6 5 7 || [0, 1, 3, 5, 3]\n",
      "4 4 5 | 5 7 5 7 || [0, 1, 3, 5, 3, 3]\n",
      "4 4 6 | 6 7 5 7 || [0, 1, 3, 5, 3, 3, 4]\n",
      "4 4 7 | 6 8 5 7 || [0, 1, 3, 5, 3, 3, 4, 9]\n",
      "4 8 8 | 9 10 9 9 || [0, 1, 3, 5, 3, 3, 4, 9, 1]\n",
      "4 8 9 | 10 10 9 9 || [0, 1, 3, 5, 3, 3, 4, 9, 1, 7]\n",
      "8 0 0 | 1 4 3 7 || [0]\n",
      "8 0 1 | 2 4 3 7 || [0, 1]\n",
      "8 0 2 | 3 4 3 7 || [0, 1, 3]\n",
      "8 0 3 | 3 5 3 7 || [0, 1, 3, 3]\n",
      "8 0 4 | 3 6 3 7 || [0, 1, 3, 3, 3]\n",
      "8 0 5 | 3 7 3 7 || [0, 1, 3, 3, 3, 4]\n",
      "8 0 6 | 4 7 3 7 || [0, 1, 3, 3, 3, 4, 5]\n",
      "8 0 7 | 4 8 3 7 || [0, 1, 3, 3, 3, 4, 5, 9]\n",
      "8 8 8 | 9 12 11 9 || [0, 1, 3, 3, 3, 4, 5, 9, 1]\n",
      "8 8 9 | 10 12 11 9 || [0, 1, 3, 3, 3, 4, 5, 9, 1, 7]\n",
      "16 0 0 | 1 8 7 9 || [0]\n",
      "16 0 1 | 2 8 7 9 || [0, 1]\n",
      "16 0 2 | 2 9 7 9 || [0, 1, 1]\n",
      "16 0 3 | 3 9 7 9 || [0, 1, 1, 3]\n",
      "16 0 4 | 4 9 7 9 || [0, 1, 1, 3, 3]\n",
      "16 0 5 | 5 9 7 9 || [0, 1, 1, 3, 3, 3]\n",
      "16 0 6 | 6 9 7 9 || [0, 1, 1, 3, 3, 3, 4]\n",
      "16 0 7 | 7 9 7 9 || [0, 1, 1, 3, 3, 3, 4, 5]\n",
      "16 0 8 | 7 10 7 9 || [0, 1, 1, 3, 3, 3, 4, 5, 7]\n",
      "16 0 9 | 8 10 7 9 || [0, 1, 1, 3, 3, 3, 4, 5, 7, 9]\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "\n",
    "def mySort(arr):\n",
    "\n",
    "    pong = arr\n",
    "    n = 0\n",
    "    \n",
    "    N = len(arr)\n",
    "    \n",
    "    s = 2\n",
    "    while s/2 <= N:\n",
    "        ping = pong\n",
    "        pong = []\n",
    "        i = 0\n",
    "        j = 0\n",
    "        while j < N:\n",
    "            l = i\n",
    "            r = i + s//2\n",
    "            m = r - 1\n",
    "            h = i + s - 1\n",
    "            if h > N-1:\n",
    "                h = N-1\n",
    "            while j <= h:\n",
    "                if r > h:\n",
    "                    pong.append(ping[l])\n",
    "                    l += 1\n",
    "                elif l > m:\n",
    "                    pong.append(ping[r])\n",
    "                    r += 1\n",
    "                elif ping[r] < ping[l]:\n",
    "                    pong.append(ping[r])\n",
    "                    r += 1\n",
    "                else:\n",
    "                    pong.append(ping[l])\n",
    "                    l += 1\n",
    "                print(str(s) + \" \" + str(i) + \" \" + str(j) + \" | \" + str(l) + \" \" + str(r) + \" \" + str(m) + \" \" + str(h) + \" || \" + str(pong))\n",
    "                j += 1\n",
    "            i += s\n",
    "        s *= 2\n",
    "    return pong\n",
    "\n",
    "\n",
    "def isSorted(arr):\n",
    "    for i in range (1, len(arr)):\n",
    "        if(arr[i] < arr[i-1]):\n",
    "            return 0\n",
    "    return 1\n",
    "        \n",
    "\n",
    "for i in range(0, 100):\n",
    "    n = np.random.randint(50, size=1)\n",
    "    n = 10\n",
    "    arr = np.random.randint(10, size=n).tolist()\n",
    "    mySorted = mySort(arr)\n",
    "    arr.sort()\n",
    "#     print(arr)\n",
    "#     print(mySorted)\n",
    "    if mySorted != arr:\n",
    "        print(\"ERROR\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2.8227923951308536 + 2.855138381088278Nlog2N\n"
     ]
    }
   ],
   "source": [
    "import math\n",
    "from numpy import random as rd\n",
    "\n",
    "def safeLog(x):\n",
    "    if x <= 0:\n",
    "        return 0\n",
    "    return math.log2(x)\n",
    "\n",
    "\n",
    "# Sorted 30137 samples in 12657850 ns (1265785 clock cycles).\n",
    "# -----------\n",
    "# Sorted 55541 samples in 24993780 ns (2499378 clock cycles).\n",
    "# -----------\n",
    "N1 = 30137\n",
    "T1 = 1265785\n",
    "N2 = 55541\n",
    "T2 = 2499378\n",
    "\n",
    "C1 = T1/(N1*safeLog(N1))\n",
    "C2 = T2/(N2*safeLog(N2))\n",
    "\n"
   ]
  }
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