NN-Minimax-Threshold.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import gym_2048\n",
    "import gym\n",
    "import numpy as np\n",
    "import random\n",
    "import copy\n",
    "\n",
    "from itertools import permutations\n",
    "from collections import Counter\n",
    "\n",
    "import copy\n",
    "import random\n",
    "import math\n",
    "from timeit import default_timer as timer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import copy\n",
    "import random\n",
    "import math\n",
    "\n",
    "\n",
    "def numberofzeroes(bb):\n",
    "    count = 0\n",
    "    b = copy.deepcopy(bb)\n",
    "\n",
    "    for i in range(4):\n",
    "        for j in range(4):\n",
    "            if b[i][j] == 0:\n",
    "                count = count + 1\n",
    "    return 2**count\n",
    "\n",
    "\n",
    "def calculate(board1):\n",
    "    b = copy.deepcopy(board1)\n",
    "    sum = 0\n",
    "    for i in range(3):\n",
    "        for j in range(3):\n",
    "            sum = sum + b[i][j] * boardm[i][j]\n",
    "    return sum\n",
    "\n",
    "\n",
    "def is_done(bb):\n",
    "    b = copy.deepcopy(bb)\n",
    "\n",
    "    if b == push_down(b)[0] and b == push_up(b)[0] and b == push_left(b)[0] and b == push_right(b)[0]:\n",
    "        return True\n",
    "    else:\n",
    "        return False\n",
    "\n",
    "\n",
    "def print_board(bb):\n",
    "    b = copy.deepcopy(bb)\n",
    "    for i in b:\n",
    "        print(i)\n",
    "\n",
    "\n",
    "def find_zeros(bb):\n",
    "    b = copy.deepcopy(bb)\n",
    "    list = []\n",
    "    for i in range(4):\n",
    "        for j in range(4):\n",
    "            if b[i][j] == 0:\n",
    "                list.append((i, j))\n",
    "    return list\n",
    "\n",
    "\n",
    "def pick_random_place(bb):\n",
    "    b = copy.deepcopy(bb)\n",
    "    list = find_zeros(b)\n",
    "    return random.choice(list)\n",
    "\n",
    "\n",
    "def place_random(bb):\n",
    "    b = copy.deepcopy(bb)\n",
    "    picked_location = pick_random_place(b)\n",
    "    q = random.randint(0, 100)\n",
    "    f=2 #since i am checking only for 2 as min\n",
    "    # if q < 80:\n",
    "\n",
    "    #     f = 2\n",
    "    # else:\n",
    "    #     f = 4\n",
    "\n",
    "    b[picked_location[0]][picked_location[1]] = f\n",
    "    return b\n",
    "\n",
    "\n",
    "def push_up(bb):\n",
    "    s = 0\n",
    "\n",
    "    b = copy.deepcopy(bb)\n",
    "    b_new = copy.deepcopy(bb)\n",
    "\n",
    "    for i in [0, 1, 2, 3]:\n",
    "        l = []\n",
    "        for j in range(0, 4):\n",
    "            l.append(b[j][i])\n",
    "\n",
    "        l = list(filter((0).__ne__, l))\n",
    "\n",
    "        l_n = []\n",
    "        while len(l) > 1:\n",
    "            if l[0] == l[1]:\n",
    "                l_n.append(2 * l[0])\n",
    "                s = s + (2 * l[0])\n",
    "                l.pop(0)\n",
    "                l.pop(0)\n",
    "\n",
    "            else:\n",
    "                l_n.append(l[0])\n",
    "                l.pop(0)\n",
    "        if len(l) == 1:\n",
    "            l_n.append(l[0])\n",
    "            l.pop(0)\n",
    "\n",
    "        for k in range(4 - len(l_n)):\n",
    "            l_n.append(0)\n",
    "\n",
    "        for j in range(0, 4):\n",
    "            b_new[j][i] = l_n[j]\n",
    "    return b_new, s\n",
    "\n",
    "\n",
    "def push_down(bb):\n",
    "    s = 0\n",
    "\n",
    "    b = copy.deepcopy(bb)\n",
    "    b_new = copy.deepcopy(bb)\n",
    "\n",
    "    for i in [0, 1, 2, 3]:\n",
    "        l = []\n",
    "        for j in [3, 2, 1, 0]:\n",
    "            l.append(b[j][i])\n",
    "\n",
    "        l = list(filter((0).__ne__, l))\n",
    "\n",
    "        l_n = []\n",
    "        while len(l) > 1:\n",
    "            if l[0] == l[1]:\n",
    "                l_n.append(2 * l[0])\n",
    "                s = s + (2 * l[0])\n",
    "                l.pop(0)\n",
    "                l.pop(0)\n",
    "\n",
    "            else:\n",
    "                l_n.append(l[0])\n",
    "                l.pop(0)\n",
    "        if len(l) == 1:\n",
    "            l_n.append(l[0])\n",
    "            l.pop(0)\n",
    "\n",
    "        for k in range(4 - len(l_n)):\n",
    "            l_n.append(0)\n",
    "\n",
    "        for j in range(0, 4):\n",
    "            b_new[j][i] = l_n[3 - j]\n",
    "    return b_new, s\n",
    "\n",
    "\n",
    "def push_left(bb):\n",
    "    s = 0\n",
    "\n",
    "    b = copy.deepcopy(bb)\n",
    "    b_new = copy.deepcopy(bb)\n",
    "\n",
    "    for i in [0, 1, 2, 3]:\n",
    "        l = []\n",
    "        for j in [0, 1, 2, 3]:\n",
    "            l.append(b[i][j])\n",
    "\n",
    "        l = list(filter((0).__ne__, l))\n",
    "\n",
    "        l_n = []\n",
    "        while len(l) > 1:\n",
    "            if l[0] == l[1]:\n",
    "                l_n.append(2 * l[0])\n",
    "                s = s + (2 * l[0])\n",
    "                l.pop(0)\n",
    "                l.pop(0)\n",
    "\n",
    "            else:\n",
    "                l_n.append(l[0])\n",
    "                l.pop(0)\n",
    "        if len(l) == 1:\n",
    "            l_n.append(l[0])\n",
    "            l.pop(0)\n",
    "\n",
    "        for k in range(4 - len(l_n)):\n",
    "            l_n.append(0)\n",
    "\n",
    "        for j in range(0, 4):\n",
    "            b_new[i][j] = l_n[j]\n",
    "\n",
    "    return b_new, s\n",
    "\n",
    "\n",
    "def push_right(bb):\n",
    "    s = 0\n",
    "\n",
    "    b = copy.deepcopy(bb)\n",
    "    b_new = copy.deepcopy(bb)\n",
    "\n",
    "    for i in [0, 1, 2, 3]:\n",
    "        l = []\n",
    "        for j in [3, 2, 1, 0]:\n",
    "            l.append(b[i][j])\n",
    "\n",
    "        l = list(filter((0).__ne__, l))\n",
    "\n",
    "        l_n = []\n",
    "        while len(l) > 1:\n",
    "            if l[0] == l[1]:\n",
    "                l_n.append(2 * l[0])\n",
    "                s = s + (2 * l[0])\n",
    "                l.pop(0)\n",
    "                l.pop(0)\n",
    "            else:\n",
    "                l_n.append(l[0])\n",
    "                l.pop(0)\n",
    "        if len(l) == 1:\n",
    "            l_n.append(l[0])\n",
    "            l.pop(0)\n",
    "\n",
    "        for k in range(4 - len(l_n)):\n",
    "            l_n.append(0)\n",
    "\n",
    "        for j in range(0, 4):\n",
    "            b_new[i][j] = l_n[3 - j]\n",
    "\n",
    "    return b_new, s\n",
    "\n",
    "\n",
    "def max1(b):\n",
    "    l=b[0][0]\n",
    "    for i in range(4):\n",
    "        for j in range(4):\n",
    "            if b[i][j]>l:\n",
    "                l=b[i][j]\n",
    "    return l\n",
    "\n",
    "def minimax(board, is_maximising, depth, alpha, beta, score, action, max_depth):\n",
    "    # print(\"depth:\", depth, score)\n",
    "    # print_board(board)\n",
    "\n",
    "    if is_done(board):\n",
    "        return score, 0, action\n",
    "\n",
    "    if depth == max_depth:\n",
    "        # print(\"Depth Reached\", depth)\n",
    "        return (numberofzeroes(board) + calculate(board)), 0, action\n",
    "\n",
    "    if is_maximising:\n",
    "\n",
    "        # print(\"\\n\\n***Max\")\n",
    "\n",
    "        actions = ['up', 'down', 'left', 'right']\n",
    "\n",
    "        best = -math.inf\n",
    "        best_move = actions[0]\n",
    "\n",
    "        for i in actions:\n",
    "            temp_board = []\n",
    "            temp_board = copy.deepcopy(board)\n",
    "            # print(\"\\nAction\", i)\n",
    "\n",
    "            if i == 'left':\n",
    "                result = push_left(temp_board)\n",
    "\n",
    "            elif i == 'right':\n",
    "                result = push_right(temp_board)\n",
    "\n",
    "            elif i == 'up':\n",
    "                result = push_up(temp_board)\n",
    "\n",
    "            elif i == 'down':\n",
    "                result = push_down(temp_board)\n",
    "\n",
    "            if result[0] != board:\n",
    "                temp_board = copy.deepcopy(result[0])\n",
    "                # print_board(temp_board)\n",
    "\n",
    "                return_value = minimax(temp_board, False, depth + 1, alpha, beta, (result[1] * numberofzeroes(temp_board) * calculate(board)), action + \" \" + i, max_depth)\n",
    "                if best < return_value[0]:\n",
    "                    # print(\"Return at Max: \", return_value[0], best, i, \"Depth:\", depth)\n",
    "                    # print(\"Replacing at Max with\", return_value[0], best)\n",
    "                    best = return_value[0]\n",
    "                    best_move = i\n",
    "                # alpha = max(alpha, best)\n",
    "                # if beta <= alpha:\n",
    "                #     return score, best_move, action\n",
    "                if alpha < best:\n",
    "                    alpha = best\n",
    "                if beta <= alpha:\n",
    "                    break\n",
    "        return best, best_move, action\n",
    "\n",
    "    else:\n",
    "        empty = find_zeros(board)\n",
    "        # print(empty)\n",
    "\n",
    "        if len(empty) == 0:\n",
    "            return score, 0\n",
    "\n",
    "        # print(\"\\n\\n***Min\")\n",
    "        best_min = +math.inf\n",
    "        best_min_move = empty[0]\n",
    "\n",
    "        for i in empty:\n",
    "            temp_board = copy.deepcopy(board)\n",
    "            temp_board[i[0]][i[1]] = 2\n",
    "            return_value = minimax(temp_board, True, depth + 1, alpha, beta, (numberofzeroes(temp_board) * calculate(temp_board)), action, max_depth)\n",
    "            # print(\"Return at Min: \", return_value)\n",
    "            if best_min > return_value[0]:\n",
    "                # print(\"Replacing at Min with\", return_value[0], best_min)\n",
    "                best_min = return_value[0]\n",
    "                best_min_move = i\n",
    "            # beta = min(beta, best_min)\n",
    "            # if beta <= alpha:\n",
    "            #     return score, best_min_move, action\n",
    "\n",
    "            if beta > best_min:\n",
    "                beta = best_min\n",
    "            if beta <= alpha:\n",
    "                break\n",
    "\n",
    "        return best_min, best_min_move"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
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   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
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   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "dump = []"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "\n",
      "[0, 0, 2, 0]\n",
      "[0, 0, 0, 0]\n",
      "[0, 0, 0, 0]\n",
      "[0, 0, 0, 0]\n",
      "\n",
      "\n",
      "[1024, 512, 256, 2]\n",
      "[32, 2, 128, 4]\n",
      "[16, 64, 32, 16]\n",
      "[4, 8, 4, 2]\n",
      "\n",
      "\n",
      "[0, 0, 0, 0]\n",
      "[0, 0, 0, 0]\n",
      "[0, 0, 0, 2]\n",
      "[0, 0, 0, 0]\n",
      "\n",
      "\n",
      "[256, 8, 512, 4]\n",
      "[8, 64, 32, 8]\n",
      "[32, 16, 1024, 4]\n",
      "[4, 2, 8, 2]\n",
      "\n",
      "\n",
      "[0, 0, 0, 0]\n",
      "[0, 0, 0, 0]\n",
      "[0, 0, 0, 0]\n",
      "[0, 0, 2, 0]\n",
      "\n",
      "\n",
      "[2048, 1024, 8, 4]\n",
      "[32, 128, 256, 32]\n",
      "[16, 32, 16, 8]\n",
      "[4, 8, 4, 2]\n",
      "\n",
      "\n",
      "[0, 0, 0, 0]\n",
      "[0, 0, 0, 0]\n",
      "[0, 0, 0, 0]\n",
      "[0, 0, 2, 0]\n",
      "\n",
      "\n",
      "[1024, 512, 32, 2]\n",
      "[32, 64, 256, 4]\n",
      "[16, 32, 16, 8]\n",
      "[4, 8, 4, 2]\n",
      "\n",
      "\n",
      "[0, 0, 0, 0]\n",
      "[0, 2, 0, 0]\n",
      "[0, 0, 0, 0]\n",
      "[0, 0, 0, 0]\n",
      "\n",
      "\n",
      "[512, 2048, 16, 32]\n",
      "[32, 64, 1024, 16]\n",
      "[16, 256, 64, 8]\n",
      "[4, 8, 4, 2]\n",
      "\n",
      "\n",
      "[0, 2, 0, 0]\n",
      "[0, 0, 0, 0]\n",
      "[0, 0, 0, 0]\n",
      "[0, 0, 0, 0]\n",
      "\n",
      "\n",
      "[512, 256, 32, 4]\n",
      "[32, 64, 128, 8]\n",
      "[8, 32, 16, 4]\n",
      "[2, 8, 4, 2]\n",
      "\n",
      "\n",
      "[0, 2, 0, 0]\n",
      "[0, 0, 0, 0]\n",
      "[0, 0, 0, 0]\n",
      "[0, 0, 0, 0]\n",
      "\n",
      "\n",
      "[128, 4, 16, 2]\n",
      "[16, 1024, 64, 8]\n",
      "[8, 32, 16, 4]\n",
      "[2, 8, 4, 2]\n",
      "\n",
      "\n",
      "[0, 0, 0, 0]\n",
      "[0, 0, 0, 2]\n",
      "[0, 0, 0, 0]\n",
      "[0, 0, 0, 0]\n",
      "\n",
      "\n",
      "[512, 1024, 512, 4]\n",
      "[16, 32, 128, 32]\n",
      "[4, 16, 8, 2]\n",
      "[2, 8, 2, 4]\n",
      "\n",
      "\n",
      "[0, 0, 0, 0]\n",
      "[0, 0, 0, 0]\n",
      "[0, 0, 0, 0]\n",
      "[2, 0, 0, 0]\n",
      "\n",
      "\n",
      "[2048, 1024, 32, 2]\n",
      "[32, 64, 128, 4]\n",
      "[8, 32, 16, 8]\n",
      "[4, 8, 4, 2]\n",
      "\n",
      "\n",
      "[0, 0, 0, 2]\n",
      "[0, 0, 0, 0]\n",
      "[0, 0, 0, 0]\n",
      "[0, 0, 0, 0]\n",
      "\n",
      "\n",
      "[2048, 1024, 64, 2]\n",
      "[2, 32, 256, 4]\n",
      "[16, 8, 16, 8]\n",
      "[4, 2, 4, 2]\n"
     ]
    }
   ],
   "source": [
    "for i in range(10):\n",
    "    boardm = [[4 ** 15, 4 ** 14, 4 ** 13, 4 ** 12],\n",
    "              [4 ** 8, 4 ** 9, 4 ** 10, 4 ** 11],\n",
    "              [4 ** 7, 4 ** 6, 4 ** 5, 4 ** 4],\n",
    "              [4 ** 0, 4 ** 1, 4 ** 2, 4 ** 3]]\n",
    "\n",
    "    board = [[0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0]]\n",
    "    score1 = 0\n",
    "    board = place_random(board)\n",
    "    \n",
    "    print(\"\\n\")\n",
    "\n",
    "    print_board(board)\n",
    "\n",
    "\n",
    "    score = 0\n",
    "\n",
    "    max_depth = 2\n",
    "\n",
    "    # t = minimax(board, True, 0, -1, +1, score, \"\", max_depth)\n",
    "    # print(t)\n",
    "    arr=[]\n",
    "    ss=[]\n",
    "\n",
    "    board = [[0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0]]\n",
    "    score1 = 0\n",
    "    choices = [2, 4]\n",
    "    score = 0\n",
    "\n",
    "    max_depth = 3\n",
    "\n",
    "    board = place_random(board)\n",
    "    while not is_done(board):\n",
    "        t = minimax(board, True, 0, float(\"-inf\"), float(\"inf\"), score, \"\", max_depth)[1]\n",
    "        # print(\"\\nFinal Action:\", t) kar dena\n",
    "        if t == 'left':\n",
    "            result = push_left(board)\n",
    "            act=[0,0,0,1]\n",
    "\n",
    "        elif t == 'right':\n",
    "            act=[0,1,0,0]\n",
    "            result = push_right(board)\n",
    "\n",
    "        elif t == 'up':\n",
    "            act=[1,0,0,0]\n",
    "            result = push_up(board)\n",
    "\n",
    "        elif t == 'down':\n",
    "            act=[0,0,1,0]\n",
    "            result = push_down(board)\n",
    "\n",
    "        if result[0] != board:\n",
    "            board = copy.deepcopy(result[0])\n",
    "            # print_board(board) kar dena\n",
    "            score1 = score1 + result[1]\n",
    "            score = result[1] * numberofzeroes(board) * calculate(board)\n",
    "            newspace=[]\n",
    "            for m in range(4):\n",
    "                for n in range(4):\n",
    "                    newspace.append(result[0][m][n])\n",
    "            if(int(score/1000000000000)>200):\n",
    "                dump.append((newspace, int(score/1000000000000), act))\n",
    "            # print(\"\\n\") kar dena\n",
    "            # print(\"=\" * 20) kar dena\n",
    "            # print(\"score\", score1)kar dena\n",
    "            # print(\"Final----\")kar dena\n",
    "            board = place_random(board)\n",
    "    #         print_board(board)\n",
    "    #         print(dump)\n",
    "    #         print()\n",
    "    #     print(score1)\n",
    "        ss.append(score)\n",
    "        s=max1(board)\n",
    "        arr.append(s)\n",
    "    print(\"\\n\")\n",
    "    print_board(board)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# dump=[]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5678"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(dump)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[([4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0], 281, [0, 0, 0, 1]),\n",
       " ([8, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 606, [1, 0, 0, 0]),\n",
       " ([8, 8, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 2, 0, 0, 0], 263, [0, 0, 0, 1]),\n",
       " ([16, 0, 0, 0, 8, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0], 562, [0, 0, 0, 1]),\n",
       " ([16, 8, 2, 0, 8, 2, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], 318, [1, 0, 0, 0]),\n",
       " ([16, 8, 2, 2, 16, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 318, [1, 0, 0, 0]),\n",
       " ([32, 8, 4, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0], 1205, [1, 0, 0, 0]),\n",
       " ([32, 16, 0, 0, 2, 4, 2, 0, 4, 0, 0, 0, 0, 0, 0, 0], 791, [0, 0, 0, 1]),\n",
       " ([32, 16, 4, 8, 0, 0, 2, 4, 0, 0, 0, 2, 0, 0, 0, 0], 239, [1, 0, 0, 0]),\n",
       " ([32, 16, 8, 8, 0, 0, 2, 8, 0, 0, 0, 0, 0, 0, 0, 0], 642, [1, 0, 0, 0]),\n",
       " ([32, 16, 16, 0, 2, 8, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0], 650, [0, 0, 0, 1]),\n",
       " ([32, 32, 0, 0, 2, 8, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0], 3166, [0, 0, 0, 1]),\n",
       " ([64, 2, 8, 0, 2, 8, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0], 2430, [0, 0, 0, 1]),\n",
       " ([64, 0, 0, 0, 2, 0, 0, 0, 4, 2, 8, 0, 2, 16, 4, 0], 351, [0, 0, 1, 0]),\n",
       " ([64, 0, 0, 0, 4, 0, 0, 0, 8, 8, 0, 0, 2, 16, 4, 0], 422, [0, 0, 0, 1]),\n",
       " ([64, 0, 0, 0, 4, 0, 0, 0, 16, 2, 0, 0, 2, 16, 4, 0], 562, [0, 0, 0, 1]),\n",
       " ([64, 8, 8, 0, 4, 16, 0, 0, 16, 4, 0, 0, 4, 0, 0, 0], 219, [1, 0, 0, 0]),\n",
       " ([64, 16, 0, 0, 4, 16, 0, 0, 16, 4, 2, 0, 4, 0, 0, 0], 299, [0, 0, 0, 1]),\n",
       " ([64, 32, 4, 0, 4, 4, 0, 0, 16, 0, 0, 0, 4, 0, 0, 0], 1429, [1, 0, 0, 0]),\n",
       " ([64, 32, 4, 0, 4, 8, 4, 0, 16, 0, 0, 0, 4, 0, 0, 0], 238, [1, 0, 0, 0]),\n",
       " ([64, 32, 32, 4, 2, 4, 0, 2, 0, 2, 0, 4, 0, 0, 0, 0], 325, [1, 0, 0, 0]),\n",
       " ([64, 64, 4, 0, 2, 4, 2, 0, 2, 4, 0, 0, 2, 0, 0, 0], 705, [0, 0, 0, 1]),\n",
       " ([128, 4, 0, 0, 2, 4, 2, 0, 2, 4, 2, 0, 2, 0, 0, 0], 2269, [0, 0, 0, 1]),\n",
       " ([128, 8, 4, 2, 4, 4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0], 1145, [1, 0, 0, 0]),\n",
       " ([128, 8, 4, 4, 4, 4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0], 286, [1, 0, 0, 0]),\n",
       " ([128, 8, 8, 0, 8, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0], 5739, [0, 0, 0, 1]),\n",
       " ([0, 128, 16, 2, 0, 0, 8, 4, 0, 0, 0, 4, 0, 0, 0, 0], 725, [0, 1, 0, 0]),\n",
       " ([128, 16, 4, 0, 8, 8, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0], 2326, [1, 0, 0, 0]),\n",
       " ([128, 16, 4, 4, 8, 8, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0], 290, [1, 0, 0, 0]),\n",
       " ([128, 16, 8, 0, 16, 2, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0], 3496, [0, 0, 0, 1]),\n",
       " ([128, 16, 8, 0, 16, 2, 4, 0, 4, 4, 0, 0, 0, 0, 0, 0], 291, [1, 0, 0, 0]),\n",
       " ([128, 16, 8, 0, 16, 2, 4, 0, 8, 2, 0, 0, 0, 0, 0, 0], 291, [0, 0, 0, 1]),\n",
       " ([128, 32, 8, 2, 2, 0, 2, 4, 0, 0, 8, 4, 0, 0, 0, 0], 675, [1, 0, 0, 0]),\n",
       " ([128, 32, 16, 4, 4, 4, 8, 4, 0, 0, 0, 0, 0, 0, 0, 0], 1054, [1, 0, 0, 0]),\n",
       " ([128, 32, 16, 4, 0, 8, 8, 4, 0, 0, 0, 0, 0, 0, 0, 2], 301, [0, 1, 0, 0]),\n",
       " ([128, 32, 16, 4, 0, 2, 16, 4, 0, 0, 0, 0, 0, 0, 0, 2], 602, [0, 1, 0, 0]),\n",
       " ([128, 32, 32, 8, 0, 4, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0], 6676, [1, 0, 0, 0]),\n",
       " ([128, 64, 8, 0, 2, 4, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0], 5084, [0, 0, 0, 1]),\n",
       " ([128, 64, 8, 2, 4, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0], 317, [1, 0, 0, 0]),\n",
       " ([128, 64, 8, 2, 0, 0, 8, 2, 0, 0, 0, 0, 0, 0, 0, 2], 635, [0, 1, 0, 0]),\n",
       " ([128, 64, 16, 4, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0], 3188, [1, 0, 0, 0]),\n",
       " ([128, 64, 16, 4, 0, 4, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0], 637, [1, 0, 0, 0]),\n",
       " ([128, 64, 16, 4, 2, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0], 318, [1, 0, 0, 0]),\n",
       " ([128, 64, 16, 8, 2, 2, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], 637, [1, 0, 0, 0]),\n",
       " ([128, 64, 16, 8, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2], 318, [0, 1, 0, 0]),\n",
       " ([128, 64, 16, 8, 0, 4, 8, 8, 0, 0, 0, 2, 0, 0, 0, 0], 478, [1, 0, 0, 0]),\n",
       " ([128, 64, 16, 16, 0, 4, 8, 4, 0, 0, 0, 0, 0, 0, 0, 0], 1594, [1, 0, 0, 0]),\n",
       " ([128, 64, 32, 0, 4, 8, 4, 0, 2, 0, 0, 0, 0, 0, 0, 0], 2568, [0, 0, 0, 1]),\n",
       " ([128, 64, 32, 0, 4, 8, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0], 321, [0, 0, 0, 1]),\n",
       " ([128, 64, 32, 2, 8, 8, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], 642, [1, 0, 0, 0]),\n",
       " ([128, 64, 32, 2, 0, 0, 16, 4, 0, 0, 0, 2, 0, 0, 0, 0], 1284, [0, 1, 0, 0]),\n",
       " ([128, 64, 32, 2, 2, 4, 16, 8, 0, 0, 0, 0, 0, 0, 0, 0], 481, [1, 0, 0, 0]),\n",
       " ([128, 64, 32, 2, 8, 16, 8, 0, 4, 0, 0, 0, 0, 0, 0, 0], 481, [0, 0, 0, 1]),\n",
       " ([128, 64, 32, 2, 0, 4, 32, 8, 0, 0, 2, 4, 0, 0, 0, 0], 722, [0, 1, 0, 0]),\n",
       " ([128, 64, 64, 2, 0, 4, 2, 8, 0, 2, 0, 4, 0, 0, 0, 0], 1301, [1, 0, 0, 0]),\n",
       " ([128, 128, 2, 0, 4, 2, 8, 0, 2, 4, 0, 0, 2, 0, 0, 0], 2817, [0, 0, 0, 1]),\n",
       " ([256, 2, 0, 0, 4, 2, 8, 2, 2, 4, 0, 0, 2, 0, 0, 0], 9025, [0, 0, 0, 1]),\n",
       " ([256, 4, 8, 2, 4, 4, 2, 0, 4, 0, 0, 0, 0, 0, 0, 0], 566, [1, 0, 0, 0]),\n",
       " ([256, 8, 8, 2, 8, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0], 2273, [1, 0, 0, 0]),\n",
       " ([256, 8, 8, 2, 8, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0], 568, [1, 0, 0, 0]),\n",
       " ([256, 16, 2, 0, 8, 4, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0], 2288, [0, 0, 0, 1]),\n",
       " ([256, 16, 4, 2, 8, 4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0], 572, [1, 0, 0, 0]),\n",
       " ([256, 16, 4, 2, 0, 0, 8, 4, 0, 0, 0, 4, 0, 0, 0, 0], 572, [0, 1, 0, 0]),\n",
       " ([256, 16, 4, 4, 8, 8, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0], 1144, [1, 0, 0, 0]),\n",
       " ([256, 16, 8, 0, 16, 2, 0, 0, 8, 0, 0, 0, 2, 0, 0, 0], 4582, [0, 0, 0, 1]),\n",
       " ([256, 16, 16, 2, 16, 4, 2, 0, 8, 2, 0, 0, 2, 0, 0, 0], 286, [1, 0, 0, 0]),\n",
       " ([256, 32, 4, 0, 16, 4, 4, 0, 8, 2, 0, 0, 2, 0, 0, 0], 1307, [0, 0, 0, 1]),\n",
       " ([256, 32, 8, 2, 16, 4, 0, 0, 8, 2, 0, 0, 2, 0, 0, 0], 290, [1, 0, 0, 0]),\n",
       " ([256, 32, 8, 8, 2, 0, 16, 2, 0, 0, 8, 4, 0, 0, 0, 0], 290, [1, 0, 0, 0]),\n",
       " ([256, 32, 16, 0, 4, 16, 2, 0, 8, 4, 0, 0, 0, 0, 0, 0], 1456, [0, 0, 0, 1]),\n",
       " ([256, 32, 32, 4, 2, 4, 4, 2, 0, 8, 0, 0, 0, 0, 0, 0], 1316, [1, 0, 0, 0]),\n",
       " ([256, 64, 4, 0, 2, 8, 4, 0, 8, 0, 0, 0, 2, 0, 0, 0], 5388, [0, 0, 0, 1]),\n",
       " ([256, 64, 4, 0, 2, 8, 4, 0, 8, 0, 0, 0, 4, 0, 0, 0], 299, [0, 0, 0, 1]),\n",
       " ([256, 64, 8, 2, 2, 8, 0, 0, 8, 4, 0, 0, 4, 0, 0, 0], 299, [1, 0, 0, 0]),\n",
       " ([256, 64, 16, 4, 2, 4, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0], 2101, [1, 0, 0, 0]),\n",
       " ([256, 64, 16, 4, 2, 4, 16, 0, 2, 0, 0, 0, 0, 0, 0, 0], 1200, [0, 0, 0, 1]),\n",
       " ([256, 64, 32, 4, 4, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0], 5422, [1, 0, 0, 0]),\n",
       " ([256, 64, 32, 4, 4, 4, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0], 301, [1, 0, 0, 0]),\n",
       " ([256, 64, 32, 4, 0, 4, 8, 2, 0, 0, 0, 2, 0, 0, 0, 0], 602, [0, 1, 0, 0]),\n",
       " ([256, 64, 32, 4, 0, 4, 8, 4, 0, 2, 0, 0, 0, 0, 0, 0], 301, [1, 0, 0, 0]),\n",
       " ([256, 64, 32, 8, 2, 4, 8, 0, 0, 2, 0, 0, 0, 0, 0, 0], 602, [1, 0, 0, 0]),\n",
       " ([256, 64, 32, 8, 8, 8, 2, 0, 4, 0, 0, 0, 0, 0, 0, 0], 903, [0, 0, 0, 1]),\n",
       " ([256, 64, 32, 8, 0, 0, 16, 2, 0, 0, 4, 2, 0, 0, 0, 0], 1205, [0, 1, 0, 0]),\n",
       " ([256, 64, 32, 8, 0, 4, 16, 8, 0, 0, 2, 2, 0, 0, 0, 0], 301, [1, 0, 0, 0]),\n",
       " ([256, 64, 32, 16, 2, 4, 16, 2, 0, 0, 2, 0, 0, 0, 0, 0], 602, [1, 0, 0, 0]),\n",
       " ([256, 64, 32, 16, 0, 8, 16, 2, 0, 0, 0, 2, 0, 0, 0, 2], 301, [0, 1, 0, 0]),\n",
       " ([256, 64, 32, 16, 16, 16, 2, 0, 4, 0, 0, 0, 2, 0, 0, 0], 753, [0, 0, 0, 1]),\n",
       " ([256, 64, 32, 16, 0, 0, 32, 2, 0, 0, 0, 4, 0, 0, 0, 4], 2711, [0, 1, 0, 0]),\n",
       " ([256, 64, 64, 16, 0, 0, 2, 2, 0, 0, 0, 8, 0, 0, 0, 0], 10924, [1, 0, 0, 0]),\n",
       " ([256, 128, 16, 0, 4, 2, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], 41944, [0, 0, 0, 1]),\n",
       " ([256, 128, 16, 4, 0, 4, 4, 2, 0, 0, 8, 0, 0, 0, 0, 0], 635, [1, 0, 0, 0]),\n",
       " ([256, 128, 16, 4, 8, 2, 0, 0, 8, 0, 0, 0, 2, 0, 0, 0], 635, [0, 0, 0, 1]),\n",
       " ([256, 128, 16, 4, 8, 2, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0], 317, [0, 0, 0, 1]),\n",
       " ([256, 128, 16, 4, 2, 8, 16, 4, 0, 0, 2, 4, 0, 0, 0, 0], 556, [1, 0, 0, 0]),\n",
       " ([256, 128, 32, 8, 2, 8, 4, 4, 0, 0, 0, 2, 0, 0, 0, 0], 1594, [1, 0, 0, 0]),\n",
       " ([256, 128, 32, 8, 4, 8, 8, 0, 4, 0, 0, 0, 0, 0, 0, 0], 956, [0, 0, 0, 1]),\n",
       " ([256, 128, 32, 8, 8, 8, 8, 0, 0, 0, 2, 0, 0, 0, 0, 0], 637, [1, 0, 0, 0]),\n",
       " ([256, 128, 32, 8, 16, 8, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0], 1275, [0, 0, 0, 1]),\n",
       " ([256, 128, 32, 8, 0, 0, 16, 8, 0, 0, 0, 4, 0, 0, 0, 2], 318, [0, 1, 0, 0]),\n",
       " ([256, 128, 32, 16, 2, 2, 16, 4, 0, 0, 0, 2, 0, 0, 0, 0], 637, [1, 0, 0, 0]),\n",
       " ([256, 128, 32, 16, 4, 8, 16, 4, 2, 0, 2, 0, 0, 0, 0, 0], 239, [1, 0, 0, 0]),\n",
       " ([256, 128, 32, 16, 0, 16, 16, 4, 0, 0, 0, 4, 0, 0, 0, 2], 797, [0, 1, 0, 0]),\n",
       " ([256, 128, 32, 16, 0, 0, 32, 4, 0, 0, 0, 4, 0, 0, 0, 4], 2870, [0, 1, 0, 0]),\n",
       " ([256, 128, 64, 16, 0, 2, 0, 8, 0, 0, 0, 4, 0, 0, 0, 0], 11558, [1, 0, 0, 0]),\n",
       " ([256, 128, 64, 16, 0, 4, 0, 8, 0, 0, 0, 4, 0, 0, 0, 0], 642, [1, 0, 0, 0]),\n",
       " ([256, 128, 64, 16, 0, 2, 4, 8, 0, 0, 0, 8, 0, 0, 0, 4], 481, [0, 1, 0, 0]),\n",
       " ([256, 128, 64, 16, 0, 2, 4, 16, 0, 0, 2, 4, 0, 0, 0, 0], 642, [1, 0, 0, 0]),\n",
       " ([256, 128, 64, 16, 2, 8, 16, 2, 4, 0, 0, 0, 0, 0, 0, 0], 321, [1, 0, 0, 0]),\n",
       " ([256, 128, 64, 16, 0, 16, 16, 4, 0, 2, 4, 2, 0, 0, 0, 0], 321, [0, 1, 0, 0]),\n",
       " ([256, 128, 64, 16, 0, 2, 32, 4, 0, 2, 4, 2, 0, 0, 0, 0], 642, [0, 1, 0, 0]),\n",
       " ([256, 128, 64, 16, 4, 16, 32, 8, 0, 0, 2, 4, 0, 0, 0, 0], 561, [1, 0, 0, 0]),\n",
       " ([256, 128, 64, 16, 8, 16, 32, 8, 8, 0, 0, 0, 4, 0, 0, 0], 240, [0, 0, 0, 1]),\n",
       " ([256, 128, 64, 16, 16, 16, 32, 8, 4, 0, 2, 0, 0, 0, 0, 0],\n",
       "  321,\n",
       "  [1, 0, 0, 0]),\n",
       " ([256, 128, 64, 16, 0, 32, 32, 8, 0, 0, 4, 2, 0, 0, 0, 2], 642, [0, 1, 0, 0]),\n",
       " ([256, 128, 64, 16, 0, 0, 64, 8, 0, 0, 4, 2, 0, 0, 0, 4], 2729, [0, 1, 0, 0]),\n",
       " ([256, 128, 128, 16, 0, 2, 4, 8, 0, 0, 0, 2, 0, 0, 0, 4], 5207, [1, 0, 0, 0]),\n",
       " ([256, 256, 16, 0, 2, 4, 8, 0, 4, 0, 0, 0, 4, 0, 0, 0], 22941, [0, 0, 0, 1]),\n",
       " ([512, 16, 0, 0, 2, 4, 8, 0, 4, 0, 0, 0, 4, 2, 0, 0], 72621, [0, 0, 0, 1]),\n",
       " ([512, 16, 8, 0, 2, 4, 0, 0, 8, 4, 0, 0, 0, 0, 0, 0], 3407, [1, 0, 0, 0]),\n",
       " ([512, 16, 8, 0, 2, 4, 0, 0, 8, 4, 0, 0, 4, 0, 0, 0], 567, [0, 0, 0, 1]),\n",
       " ([512, 16, 8, 0, 2, 8, 2, 0, 8, 2, 0, 0, 4, 0, 0, 0], 567, [1, 0, 0, 0]),\n",
       " ([512, 16, 8, 0, 2, 8, 4, 0, 8, 2, 0, 0, 4, 0, 0, 0], 283, [1, 0, 0, 0]),\n",
       " ([512, 16, 16, 2, 2, 2, 8, 4, 0, 0, 4, 4, 0, 0, 0, 0], 710, [1, 0, 0, 0]),\n",
       " ([512, 16, 16, 2, 4, 2, 8, 8, 0, 0, 4, 0, 0, 0, 0, 0], 852, [1, 0, 0, 0]),\n",
       " ([512, 16, 16, 2, 4, 4, 8, 8, 0, 0, 4, 0, 0, 0, 0, 0], 284, [1, 0, 0, 0]),\n",
       " ([512, 32, 2, 0, 8, 16, 0, 0, 2, 4, 0, 0, 0, 0, 0, 0], 16012, [0, 0, 0, 1]),\n",
       " ([512, 32, 4, 2, 8, 16, 0, 0, 2, 4, 0, 0, 0, 0, 0, 0], 572, [1, 0, 0, 0]),\n",
       " ([512, 32, 4, 4, 8, 16, 0, 0, 2, 4, 0, 0, 0, 0, 0, 0], 572, [1, 0, 0, 0]),\n",
       " ([512, 32, 8, 0, 8, 16, 2, 0, 2, 4, 0, 0, 2, 0, 0, 0], 572, [0, 0, 0, 1]),\n",
       " ([512, 32, 8, 2, 8, 16, 2, 0, 4, 4, 0, 0, 0, 0, 0, 0], 286, [1, 0, 0, 0]),\n",
       " ([512, 32, 8, 2, 0, 8, 16, 2, 0, 0, 0, 8, 0, 0, 0, 2], 572, [0, 1, 0, 0]),\n",
       " ([512, 32, 8, 4, 0, 8, 16, 8, 0, 0, 2, 2, 0, 0, 0, 0], 286, [1, 0, 0, 0]),\n",
       " ([512, 32, 8, 4, 8, 16, 8, 0, 4, 0, 0, 0, 2, 0, 0, 0], 286, [0, 0, 0, 1]),\n",
       " ([512, 32, 16, 4, 8, 16, 0, 0, 4, 2, 0, 0, 2, 0, 0, 0], 1145, [1, 0, 0, 0]),\n",
       " ([512, 32, 32, 4, 0, 8, 4, 2, 0, 2, 0, 4, 0, 0, 0, 2], 1147, [1, 0, 0, 0]),\n",
       " ([512, 64, 4, 0, 8, 4, 2, 0, 2, 4, 0, 0, 4, 0, 0, 0], 4936, [0, 0, 0, 1]),\n",
       " ([512, 64, 4, 2, 8, 8, 2, 0, 2, 0, 0, 0, 4, 0, 0, 0], 580, [1, 0, 0, 0]),\n",
       " ([512, 64, 4, 4, 8, 8, 2, 0, 2, 0, 0, 0, 4, 0, 0, 0], 290, [1, 0, 0, 0]),\n",
       " ([512, 64, 8, 0, 16, 2, 0, 0, 2, 0, 0, 0, 4, 2, 0, 0], 3486, [0, 0, 0, 1]),\n",
       " ([512, 64, 8, 0, 16, 2, 0, 0, 4, 0, 0, 0, 4, 2, 0, 0], 581, [0, 0, 0, 1]),\n",
       " ([512, 64, 8, 4, 2, 0, 16, 4, 0, 0, 4, 2, 0, 0, 0, 0], 290, [1, 0, 0, 0]),\n",
       " ([512, 64, 8, 8, 2, 0, 16, 4, 0, 0, 4, 0, 0, 0, 0, 0], 1743, [1, 0, 0, 0]),\n",
       " ([512, 64, 8, 8, 4, 2, 16, 4, 0, 0, 4, 0, 0, 0, 0, 0], 290, [1, 0, 0, 0]),\n",
       " ([512, 64, 16, 0, 4, 2, 16, 4, 4, 0, 0, 0, 2, 0, 0, 0], 1163, [0, 0, 0, 1]),\n",
       " ([512, 64, 32, 2, 8, 2, 0, 4, 2, 0, 0, 0, 0, 0, 0, 0], 5827, [1, 0, 0, 0]),\n",
       " ([512, 64, 32, 2, 8, 4, 4, 0, 2, 0, 0, 0, 2, 0, 0, 0], 291, [0, 0, 0, 1]),\n",
       " ([512, 64, 32, 2, 8, 8, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0], 582, [0, 0, 0, 1]),\n",
       " ([512, 64, 32, 2, 0, 0, 16, 2, 0, 0, 0, 2, 0, 0, 0, 4], 2913, [0, 1, 0, 0]),\n",
       " ([512, 64, 32, 2, 0, 0, 16, 2, 0, 0, 0, 4, 0, 0, 2, 4], 291, [0, 1, 0, 0]),\n",
       " ([512, 64, 32, 4, 2, 0, 16, 8, 0, 0, 2, 0, 0, 0, 0, 0], 1748, [1, 0, 0, 0]),\n",
       " ([512, 64, 32, 4, 4, 0, 16, 8, 0, 0, 2, 0, 0, 0, 0, 0], 582, [1, 0, 0, 0]),\n",
       " ([512, 64, 32, 4, 4, 16, 8, 0, 4, 0, 0, 0, 0, 0, 0, 0], 582, [0, 0, 0, 1]),\n",
       " ([512, 64, 32, 4, 8, 16, 8, 0, 0, 0, 2, 0, 0, 0, 0, 0], 1165, [1, 0, 0, 0]),\n",
       " ([512, 64, 32, 4, 0, 8, 16, 8, 0, 0, 0, 4, 0, 0, 0, 0], 582, [0, 1, 0, 0]),\n",
       " ([512, 64, 32, 4, 0, 8, 16, 8, 0, 0, 4, 4, 0, 0, 0, 0], 291, [0, 1, 0, 0]),\n",
       " ([512, 64, 32, 4, 2, 8, 16, 8, 0, 0, 0, 8, 0, 0, 0, 0], 582, [0, 1, 0, 0]),\n",
       " ([512, 64, 32, 4, 2, 8, 16, 16, 0, 2, 0, 0, 0, 0, 0, 0], 1165, [1, 0, 0, 0]),\n",
       " ([512, 64, 32, 4, 2, 8, 32, 0, 4, 0, 0, 0, 0, 0, 0, 0], 5245, [0, 0, 0, 1]),\n",
       " ([512, 64, 64, 4, 2, 8, 0, 0, 4, 2, 0, 0, 0, 0, 0, 0], 9359, [1, 0, 0, 0]),\n",
       " ([512, 64, 64, 4, 2, 8, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0], 584, [1, 0, 0, 0]),\n",
       " ([0, 512, 128, 4, 0, 2, 8, 2, 0, 0, 0, 8, 0, 0, 0, 0], 10168, [0, 1, 0, 0]),\n",
       " ([512, 128, 4, 4, 2, 8, 2, 0, 8, 0, 0, 0, 2, 0, 0, 0], 299, [1, 0, 0, 0]),\n",
       " ([512, 128, 8, 0, 2, 8, 4, 0, 8, 2, 0, 0, 4, 0, 0, 0], 1197, [0, 0, 0, 1]),\n",
       " ([512, 128, 16, 2, 2, 2, 8, 4, 0, 0, 0, 2, 0, 0, 0, 4], 599, [1, 0, 0, 0]),\n",
       " ([512, 128, 16, 2, 0, 2, 16, 4, 0, 0, 8, 4, 0, 0, 0, 2], 749, [0, 1, 0, 0]),\n",
       " ([512, 128, 32, 2, 2, 4, 8, 8, 0, 0, 2, 4, 0, 0, 0, 0], 1650, [1, 0, 0, 0]),\n",
       " ([512, 128, 32, 2, 2, 4, 16, 0, 2, 4, 0, 0, 2, 0, 0, 0], 600, [0, 0, 0, 1]),\n",
       " ([512, 128, 32, 4, 4, 8, 16, 0, 4, 0, 2, 0, 0, 0, 0, 0], 1200, [1, 0, 0, 0]),\n",
       " ([512, 128, 32, 4, 8, 8, 16, 2, 0, 0, 2, 0, 0, 0, 0, 0], 600, [1, 0, 0, 0]),\n",
       " ([512, 128, 32, 4, 16, 16, 2, 0, 4, 0, 0, 0, 0, 0, 0, 0], 3001, [0, 0, 0, 1]),\n",
       " ([512, 128, 32, 4, 0, 0, 32, 2, 0, 0, 4, 2, 0, 0, 0, 0], 4802, [0, 1, 0, 0]),\n",
       " ([512, 128, 64, 4, 0, 0, 4, 4, 0, 0, 0, 2, 0, 0, 0, 0], 20486, [1, 0, 0, 0]),\n",
       " ([512, 128, 64, 8, 0, 0, 4, 2, 0, 0, 2, 0, 0, 0, 0, 0], 2410, [1, 0, 0, 0]),\n",
       " ([512, 128, 64, 8, 0, 2, 4, 2, 0, 0, 0, 2, 0, 0, 0, 4], 301, [0, 1, 0, 0]),\n",
       " ([512, 128, 64, 8, 0, 2, 4, 4, 0, 0, 2, 4, 0, 0, 0, 0], 301, [1, 0, 0, 0]),\n",
       " ([512, 128, 64, 8, 0, 4, 4, 8, 0, 0, 2, 0, 0, 0, 0, 0], 1807, [1, 0, 0, 0]),\n",
       " ([512, 128, 64, 8, 0, 0, 8, 8, 0, 0, 0, 4, 0, 0, 0, 0], 3615, [0, 1, 0, 0]),\n",
       " ([512, 128, 64, 16, 0, 0, 8, 4, 0, 0, 2, 0, 0, 0, 0, 0], 4820, [1, 0, 0, 0]),\n",
       " ([512, 128, 64, 16, 0, 2, 8, 4, 0, 0, 0, 4, 0, 0, 0, 0], 602, [0, 1, 0, 0]),\n",
       " ([512, 128, 64, 16, 0, 4, 8, 4, 0, 0, 0, 4, 0, 0, 0, 2], 301, [0, 1, 0, 0]),\n",
       " ([512, 128, 64, 16, 2, 4, 8, 8, 0, 0, 2, 4, 0, 0, 0, 0], 301, [1, 0, 0, 0]),\n",
       " ([512, 128, 64, 16, 2, 4, 16, 0, 4, 4, 0, 0, 0, 0, 0, 0], 1506, [0, 0, 0, 1]),\n",
       " ([512, 128, 64, 16, 2, 8, 16, 0, 4, 0, 2, 0, 0, 0, 0, 0], 602, [1, 0, 0, 0]),\n",
       " ([512, 128, 64, 16, 2, 8, 16, 2, 0, 0, 0, 8, 0, 0, 0, 4], 451, [0, 1, 0, 0]),\n",
       " ([512, 128, 64, 16, 4, 16, 16, 2, 4, 0, 2, 0, 0, 0, 0, 0], 753, [1, 0, 0, 0]),\n",
       " ([512, 128, 64, 16, 8, 16, 16, 2, 0, 2, 2, 0, 0, 0, 0, 0], 301, [1, 0, 0, 0]),\n",
       " ([512, 128, 64, 16, 0, 8, 32, 2, 0, 2, 4, 2, 0, 0, 0, 0], 1205, [0, 1, 0, 0]),\n",
       " ([512, 128, 64, 16, 0, 16, 32, 4, 0, 2, 4, 2, 0, 0, 0, 2], 301, [0, 1, 0, 0]),\n",
       " ([512, 128, 64, 16, 0, 16, 32, 4, 0, 4, 4, 4, 0, 0, 0, 0], 301, [1, 0, 0, 0]),\n",
       " ([512, 128, 64, 16, 2, 16, 32, 8, 0, 4, 4, 0, 0, 0, 0, 0], 301, [1, 0, 0, 0]),\n",
       " ([512, 128, 64, 16, 2, 16, 32, 8, 0, 0, 0, 8, 0, 0, 0, 2], 301, [0, 1, 0, 0]),\n",
       " ([512, 128, 64, 16, 2, 16, 32, 16, 0, 2, 0, 2, 0, 0, 0, 0],\n",
       "  602,\n",
       "  [1, 0, 0, 0]),\n",
       " ([512, 128, 64, 32, 4, 16, 32, 2, 0, 2, 0, 0, 0, 0, 0, 0],\n",
       "  2711,\n",
       "  [1, 0, 0, 0]),\n",
       " ([512, 128, 64, 32, 8, 16, 32, 2, 4, 2, 0, 0, 0, 0, 0, 0], 301, [1, 0, 0, 0]),\n",
       " ([512, 128, 64, 32, 16, 16, 32, 4, 0, 2, 2, 0, 0, 0, 0, 0],\n",
       "  753,\n",
       "  [1, 0, 0, 0]),\n",
       " ([512, 128, 64, 32, 0, 32, 32, 4, 0, 0, 0, 4, 0, 0, 0, 2],\n",
       "  2711,\n",
       "  [0, 1, 0, 0]),\n",
       " ([512, 128, 64, 32, 0, 0, 64, 4, 0, 0, 0, 4, 0, 0, 0, 4],\n",
       "  10244,\n",
       "  [0, 1, 0, 0]),\n",
       " ([512, 128, 128, 32, 2, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 0],\n",
       "  41271,\n",
       "  [1, 0, 0, 0]),\n",
       " ([512, 256, 32, 0, 4, 8, 0, 0, 4, 0, 0, 0, 2, 0, 0, 0], 82617, [0, 0, 0, 1]),\n",
       " ([512, 256, 32, 0, 8, 8, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0], 2542, [1, 0, 0, 0]),\n",
       " ([512, 256, 32, 2, 0, 0, 16, 2, 0, 0, 0, 4, 0, 0, 0, 2], 3177, [0, 1, 0, 0]),\n",
       " ([512, 256, 32, 4, 0, 2, 16, 4, 0, 0, 0, 2, 0, 0, 0, 0], 635, [1, 0, 0, 0]),\n",
       " ([512, 256, 32, 4, 0, 2, 16, 4, 0, 0, 0, 4, 0, 0, 0, 2], 317, [0, 1, 0, 0]),\n",
       " ([512, 256, 32, 8, 2, 2, 16, 4, 0, 0, 0, 2, 0, 0, 0, 0], 635, [1, 0, 0, 0]),\n",
       " ([512, 256, 32, 8, 0, 4, 16, 4, 0, 0, 0, 2, 0, 0, 0, 2], 317, [0, 1, 0, 0]),\n",
       " ([512, 256, 32, 8, 0, 4, 16, 4, 0, 2, 0, 4, 0, 0, 0, 0], 317, [1, 0, 0, 0]),\n",
       " ([512, 256, 32, 8, 0, 4, 16, 8, 0, 2, 0, 2, 0, 0, 0, 0], 635, [1, 0, 0, 0]),\n",
       " ([512, 256, 32, 8, 0, 4, 16, 8, 0, 0, 0, 4, 0, 0, 0, 2], 317, [0, 1, 0, 0]),\n",
       " ([512, 256, 32, 8, 0, 4, 16, 8, 0, 0, 0, 4, 0, 0, 0, 4], 317, [0, 1, 0, 0]),\n",
       " ([512, 256, 32, 16, 0, 4, 16, 8, 0, 0, 2, 0, 0, 0, 0, 0], 3813, [1, 0, 0, 0]),\n",
       " ([512, 256, 32, 16, 4, 4, 16, 8, 0, 0, 2, 0, 0, 0, 0, 0], 317, [1, 0, 0, 0]),\n",
       " ([512, 256, 32, 16, 0, 8, 16, 8, 0, 0, 0, 4, 0, 0, 0, 0], 1906, [0, 1, 0, 0]),\n",
       " ([512, 256, 32, 16, 4, 8, 16, 8, 2, 8, 0, 2, 0, 0, 0, 0], 238, [1, 0, 0, 0]),\n",
       " ([512, 256, 32, 16, 4, 16, 16, 8, 2, 0, 0, 4, 0, 0, 0, 0], 794, [1, 0, 0, 0]),\n",
       " ([512, 256, 32, 16, 0, 4, 32, 8, 0, 0, 2, 4, 0, 0, 0, 2], 1271, [0, 1, 0, 0]),\n",
       " ([512, 256, 64, 16, 0, 4, 4, 8, 0, 2, 0, 4, 0, 0, 0, 2], 2550, [1, 0, 0, 0]),\n",
       " ([512, 256, 64, 16, 0, 0, 8, 8, 0, 0, 2, 4, 0, 0, 0, 4], 956, [0, 1, 0, 0]),\n",
       " ([512, 256, 64, 16, 0, 2, 8, 8, 0, 0, 2, 8, 0, 0, 0, 0], 637, [1, 0, 0, 0]),\n",
       " ([512, 256, 64, 16, 0, 2, 8, 16, 0, 0, 2, 2, 0, 0, 0, 0], 1275, [1, 0, 0, 0]),\n",
       " ([512, 256, 64, 16, 4, 8, 16, 0, 4, 0, 0, 0, 0, 0, 0, 0], 1275, [0, 0, 0, 1]),\n",
       " ([512, 256, 64, 16, 8, 8, 16, 2, 0, 2, 0, 0, 0, 0, 0, 0], 637, [1, 0, 0, 0]),\n",
       " ([512, 256, 64, 16, 16, 16, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0],\n",
       "  1275,\n",
       "  [0, 0, 0, 1]),\n",
       " ([512, 256, 64, 16, 0, 0, 32, 4, 0, 0, 0, 2, 0, 0, 0, 2], 5739, [0, 1, 0, 0]),\n",
       " ([512, 256, 64, 16, 0, 0, 32, 4, 0, 0, 2, 4, 0, 0, 0, 0], 637, [1, 0, 0, 0]),\n",
       " ([512, 256, 64, 16, 0, 0, 32, 8, 0, 0, 2, 2, 0, 0, 0, 0], 1275, [1, 0, 0, 0]),\n",
       " ([512, 256, 64, 16, 32, 8, 0, 0, 4, 0, 0, 0, 2, 0, 0, 0], 637, [0, 0, 0, 1]),\n",
       " ([512, 256, 64, 16, 0, 2, 32, 8, 0, 0, 4, 4, 0, 0, 0, 0], 318, [1, 0, 0, 0]),\n",
       " ([512, 256, 64, 16, 0, 4, 32, 8, 0, 0, 2, 8, 0, 0, 0, 0], 956, [0, 1, 0, 0]),\n",
       " ([512, 256, 64, 16, 2, 4, 32, 16, 0, 0, 2, 0, 0, 0, 0, 0],\n",
       "  1275,\n",
       "  [1, 0, 0, 0]),\n",
       " ([512, 256, 64, 32, 4, 8, 32, 2, 4, 2, 0, 0, 0, 0, 0, 0], 1753, [1, 0, 0, 0]),\n",
       " ([512, 256, 64, 32, 8, 8, 32, 2, 0, 2, 2, 0, 0, 0, 0, 0], 318, [1, 0, 0, 0]),\n",
       " ([512, 256, 64, 32, 16, 32, 2, 0, 4, 2, 0, 0, 2, 0, 0, 0], 637, [0, 0, 0, 1]),\n",
       " ([512, 256, 64, 32, 2, 16, 32, 4, 2, 8, 0, 0, 0, 0, 0, 0], 318, [0, 0, 0, 1]),\n",
       " ([512, 256, 64, 32, 4, 16, 32, 4, 8, 8, 0, 0, 4, 0, 0, 0], 239, [0, 0, 0, 1]),\n",
       " ([512, 256, 64, 32, 4, 32, 32, 4, 0, 2, 8, 4, 0, 0, 0, 0], 876, [1, 0, 0, 0]),\n",
       " ([512, 256, 64, 32, 0, 4, 64, 4, 0, 2, 8, 4, 0, 0, 0, 2], 1275, [0, 1, 0, 0]),\n",
       " ([512, 256, 128, 32, 2, 4, 8, 8, 0, 2, 0, 2, 0, 0, 0, 0], 5458, [1, 0, 0, 0]),\n",
       " ([512, 256, 128, 32, 0, 2, 4, 16, 0, 0, 4, 2, 0, 0, 0, 2], 642, [0, 1, 0, 0]),\n",
       " ([512, 256, 128, 32, 4, 8, 16, 0, 4, 0, 4, 0, 0, 0, 0, 0],\n",
       "  1284,\n",
       "  [1, 0, 0, 0]),\n",
       " ([512, 256, 128, 32, 8, 8, 16, 0, 0, 2, 4, 0, 0, 0, 0, 0], 642, [1, 0, 0, 0]),\n",
       " ([512, 256, 128, 32, 16, 16, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0],\n",
       "  3210,\n",
       "  [0, 0, 0, 1]),\n",
       " ([512, 256, 128, 32, 32, 4, 0, 0, 8, 0, 0, 0, 2, 0, 0, 0],\n",
       "  7063,\n",
       "  [0, 0, 0, 1]),\n",
       " ([512, 256, 128, 32, 2, 0, 32, 4, 0, 0, 8, 4, 0, 0, 0, 0], 321, [1, 0, 0, 0]),\n",
       " ([512, 256, 128, 32, 0, 4, 32, 4, 0, 0, 8, 4, 0, 0, 0, 0], 321, [0, 1, 0, 0]),\n",
       " ([512, 256, 128, 32, 0, 4, 32, 8, 0, 2, 8, 2, 0, 0, 0, 0], 321, [1, 0, 0, 0]),\n",
       " ([512, 256, 128, 32, 2, 16, 32, 8, 0, 0, 4, 2, 0, 0, 2, 0],\n",
       "  321,\n",
       "  [1, 0, 0, 0]),\n",
       " ([512, 256, 128, 32, 8, 16, 32, 8, 8, 0, 0, 0, 4, 0, 0, 0],\n",
       "  481,\n",
       "  [0, 0, 0, 1]),\n",
       " ([512, 256, 128, 32, 16, 16, 32, 8, 4, 2, 0, 0, 0, 0, 0, 0],\n",
       "  642,\n",
       "  [1, 0, 0, 0]),\n",
       " ([512, 256, 128, 32, 0, 32, 32, 8, 0, 0, 4, 2, 0, 0, 0, 2],\n",
       "  1284,\n",
       "  [0, 1, 0, 0]),\n",
       " ([512, 256, 128, 32, 0, 0, 64, 8, 0, 2, 4, 2, 0, 0, 0, 2],\n",
       "  2568,\n",
       "  [0, 1, 0, 0]),\n",
       " ([512, 256, 128, 32, 0, 8, 64, 8, 0, 0, 0, 8, 0, 0, 0, 2],\n",
       "  1284,\n",
       "  [0, 1, 0, 0]),\n",
       " ([512, 256, 128, 32, 0, 8, 64, 16, 0, 0, 2, 2, 0, 0, 0, 0],\n",
       "  1284,\n",
       "  [1, 0, 0, 0]),\n",
       " ([512, 256, 128, 32, 4, 16, 64, 16, 2, 0, 2, 0, 0, 0, 0, 0],\n",
       "  802,\n",
       "  [1, 0, 0, 0]),\n",
       " ([512, 256, 128, 32, 8, 16, 64, 16, 2, 2, 0, 0, 0, 0, 0, 0],\n",
       "  321,\n",
       "  [1, 0, 0, 0]),\n",
       " ([512, 256, 128, 32, 16, 16, 64, 16, 2, 2, 0, 2, 0, 0, 0, 0],\n",
       "  321,\n",
       "  [1, 0, 0, 0]),\n",
       " ([512, 256, 128, 32, 0, 32, 64, 16, 0, 4, 2, 4, 0, 0, 0, 2],\n",
       "  642,\n",
       "  [0, 1, 0, 0]),\n",
       " ([512, 256, 128, 32, 2, 32, 64, 16, 0, 0, 16, 4, 0, 0, 0, 2],\n",
       "  401,\n",
       "  [0, 1, 0, 0]),\n",
       " ([512, 256, 128, 32, 8, 32, 64, 16, 0, 16, 4, 4, 0, 0, 0, 0],\n",
       "  240,\n",
       "  [1, 0, 0, 0]),\n",
       " ([512, 256, 128, 32, 16, 32, 64, 16, 8, 32, 0, 0, 4, 2, 0, 0],\n",
       "  321,\n",
       "  [0, 0, 0, 1]),\n",
       " ([512, 256, 128, 32, 16, 64, 64, 16, 8, 2, 0, 2, 4, 0, 0, 0],\n",
       "  642,\n",
       "  [1, 0, 0, 0]),\n",
       " ([512, 256, 128, 32, 0, 16, 128, 16, 0, 0, 8, 4, 0, 0, 4, 2],\n",
       "  2649,\n",
       "  [0, 1, 0, 0]),\n",
       " ([512, 256, 256, 32, 0, 16, 8, 16, 0, 2, 4, 4, 0, 0, 0, 2],\n",
       "  5207,\n",
       "  [1, 0, 0, 0]),\n",
       " ([512, 512, 32, 0, 16, 8, 16, 0, 4, 8, 0, 0, 2, 0, 0, 0],\n",
       "  46236,\n",
       "  [0, 0, 0, 1]),\n",
       " ([1024, 32, 0, 0, 16, 8, 16, 0, 4, 8, 2, 0, 2, 0, 0, 0],\n",
       "  145243,\n",
       "  [0, 0, 0, 1]),\n",
       " ([1024, 32, 16, 0, 16, 16, 2, 0, 4, 2, 0, 0, 2, 0, 0, 0], 2271, [1, 0, 0, 0]),\n",
       " ([1024, 32, 16, 4, 16, 16, 2, 0, 4, 2, 0, 0, 2, 0, 0, 0], 283, [1, 0, 0, 0]),\n",
       " ([1024, 32, 16, 4, 0, 0, 32, 2, 0, 0, 4, 2, 0, 0, 0, 4], 5111, [0, 1, 0, 0]),\n",
       " ([1024, 64, 16, 4, 4, 4, 4, 2, 4, 0, 0, 0, 0, 0, 0, 0], 10301, [1, 0, 0, 0]),\n",
       " ([1024, 64, 16, 4, 0, 4, 8, 2, 0, 0, 4, 2, 0, 0, 0, 0], 1144, [0, 1, 0, 0]),\n",
       " ([1024, 64, 16, 4, 0, 4, 8, 4, 0, 2, 4, 0, 0, 0, 0, 0], 572, [1, 0, 0, 0]),\n",
       " ([1024, 64, 16, 8, 0, 4, 8, 2, 0, 2, 4, 0, 0, 0, 0, 0], 1144, [1, 0, 0, 0]),\n",
       " ([1024, 64, 16, 8, 4, 8, 8, 2, 2, 0, 2, 0, 0, 0, 0, 0], 858, [1, 0, 0, 0]),\n",
       " ([1024, 64, 16, 8, 0, 4, 16, 2, 0, 0, 2, 4, 0, 0, 0, 0], 2861, [0, 1, 0, 0]),\n",
       " ([1024, 64, 32, 8, 0, 4, 2, 2, 0, 2, 0, 4, 0, 0, 0, 0], 4582, [1, 0, 0, 0]),\n",
       " ([1024, 64, 32, 8, 0, 4, 4, 2, 0, 2, 0, 4, 0, 0, 0, 0], 572, [1, 0, 0, 0]),\n",
       " ([1024, 64, 32, 8, 0, 4, 4, 2, 0, 2, 4, 4, 0, 0, 0, 0], 286, [1, 0, 0, 0]),\n",
       " ([1024, 64, 32, 8, 2, 4, 8, 2, 0, 2, 0, 4, 0, 0, 0, 0], 572, [1, 0, 0, 0]),\n",
       " ([1024, 64, 32, 8, 4, 8, 8, 2, 2, 0, 2, 0, 0, 0, 0, 0], 859, [1, 0, 0, 0]),\n",
       " ([1024, 64, 32, 8, 4, 16, 2, 0, 4, 2, 0, 0, 0, 0, 0, 0], 2864, [0, 0, 0, 1]),\n",
       " ([1024, 64, 32, 8, 8, 16, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0], 1145, [1, 0, 0, 0]),\n",
       " ([1024, 64, 32, 8, 0, 8, 16, 4, 0, 0, 0, 2, 0, 0, 0, 2], 572, [0, 1, 0, 0]),\n",
       " ([1024, 64, 32, 8, 0, 8, 16, 4, 0, 0, 2, 4, 0, 0, 0, 0], 572, [1, 0, 0, 0]),\n",
       " ([1024, 64, 32, 8, 0, 8, 16, 8, 0, 0, 2, 2, 0, 0, 0, 0], 1145, [1, 0, 0, 0]),\n",
       " ([1024, 64, 32, 8, 0, 8, 16, 8, 0, 0, 0, 4, 0, 0, 0, 2], 572, [0, 1, 0, 0]),\n",
       " ([1024, 64, 32, 8, 0, 8, 16, 8, 0, 0, 0, 4, 0, 0, 0, 4], 572, [0, 1, 0, 0]),\n",
       " ([1024, 64, 32, 16, 0, 8, 16, 8, 0, 0, 2, 0, 0, 0, 0, 0], 6874, [1, 0, 0, 0]),\n",
       " ([1024, 64, 32, 16, 4, 8, 16, 8, 0, 0, 2, 0, 0, 0, 0, 0], 572, [1, 0, 0, 0]),\n",
       " ([1024, 64, 32, 16, 4, 8, 16, 8, 4, 0, 0, 0, 2, 0, 0, 0], 286, [0, 0, 0, 1]),\n",
       " ([1024, 64, 32, 16, 8, 8, 16, 8, 2, 0, 0, 2, 0, 0, 0, 0], 572, [1, 0, 0, 0]),\n",
       " ([1024, 64, 32, 16, 0, 16, 16, 8, 0, 0, 0, 4, 0, 0, 0, 2],\n",
       "  2864,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 64, 32, 16, 0, 0, 32, 8, 0, 0, 0, 4, 0, 0, 0, 4],\n",
       "  10311,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 64, 64, 16, 2, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0], 41324, [1, 0, 0, 0]),\n",
       " ([1024, 64, 64, 16, 2, 2, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0], 9183, [1, 0, 0, 0]),\n",
       " ([1024, 64, 64, 32, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 41324, [1, 0, 0, 0]),\n",
       " ([1024, 64, 64, 32, 4, 4, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0], 2295, [1, 0, 0, 0]),\n",
       " ([1024, 128, 32, 0, 8, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0],\n",
       "  158206,\n",
       "  [0, 0, 0, 1]),\n",
       " ([0, 1024, 128, 32, 0, 0, 8, 4, 0, 0, 0, 2, 0, 0, 0, 0], 1161, [0, 1, 0, 0]),\n",
       " ([1024, 128, 32, 2, 4, 8, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], 2326, [1, 0, 0, 0]),\n",
       " ([1024, 128, 32, 2, 0, 4, 8, 4, 0, 0, 2, 4, 0, 0, 0, 0], 581, [0, 1, 0, 0]),\n",
       " ([1024, 128, 32, 2, 2, 4, 8, 8, 0, 0, 2, 0, 0, 0, 0, 0], 1163, [1, 0, 0, 0]),\n",
       " ([1024, 128, 32, 2, 2, 4, 16, 0, 2, 0, 0, 0, 2, 0, 0, 0], 2326, [0, 0, 0, 1]),\n",
       " ([1024, 128, 32, 2, 2, 4, 16, 0, 2, 0, 0, 0, 4, 0, 0, 0], 581, [0, 0, 0, 1]),\n",
       " ([1024, 128, 32, 4, 4, 4, 16, 0, 4, 0, 0, 0, 0, 0, 0, 0], 2326, [1, 0, 0, 0]),\n",
       " ([1024, 128, 32, 4, 8, 4, 16, 0, 0, 0, 2, 0, 0, 0, 0, 0], 2326, [1, 0, 0, 0]),\n",
       " ([1024, 128, 32, 4, 0, 8, 4, 16, 0, 0, 0, 4, 0, 0, 0, 0], 1163, [0, 1, 0, 0]),\n",
       " ([1024, 128, 32, 4, 8, 4, 16, 0, 2, 4, 0, 0, 4, 0, 0, 0], 290, [0, 0, 0, 1]),\n",
       " ([1024, 128, 32, 4, 8, 8, 16, 0, 2, 0, 2, 0, 4, 0, 0, 0], 581, [1, 0, 0, 0]),\n",
       " ([1024, 128, 32, 4, 16, 16, 2, 0, 4, 0, 0, 0, 4, 2, 0, 0],\n",
       "  1454,\n",
       "  [0, 0, 0, 1]),\n",
       " ([1024, 128, 32, 4, 0, 0, 32, 2, 0, 0, 4, 2, 0, 0, 4, 2], 2326, [0, 1, 0, 0]),\n",
       " ([1024, 128, 64, 4, 0, 2, 8, 4, 0, 0, 0, 2, 0, 0, 0, 0], 22144, [1, 0, 0, 0]),\n",
       " ([1024, 128, 64, 8, 2, 2, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0], 2330, [1, 0, 0, 0]),\n",
       " ([1024, 128, 64, 8, 0, 4, 8, 2, 0, 0, 0, 2, 0, 0, 0, 0], 1165, [0, 1, 0, 0]),\n",
       " ([1024, 128, 64, 8, 4, 4, 8, 4, 0, 0, 0, 0, 0, 0, 0, 0], 2330, [1, 0, 0, 0]),\n",
       " ([1024, 128, 64, 8, 0, 8, 8, 4, 0, 0, 0, 0, 0, 0, 0, 2], 2330, [0, 1, 0, 0]),\n",
       " ([1024, 128, 64, 8, 0, 0, 16, 4, 0, 0, 2, 4, 0, 0, 0, 0], 5827, [0, 1, 0, 0]),\n",
       " ([1024, 128, 64, 8, 0, 2, 16, 8, 0, 0, 4, 0, 0, 0, 0, 0], 3496, [1, 0, 0, 0]),\n",
       " ([1024, 128, 64, 16, 0, 4, 16, 4, 0, 0, 0, 2, 0, 0, 0, 0],\n",
       "  5827,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 128, 64, 16, 4, 4, 16, 4, 0, 0, 0, 2, 0, 0, 0, 0], 582, [1, 0, 0, 0]),\n",
       " ([1024, 128, 64, 16, 0, 8, 16, 4, 0, 0, 0, 4, 0, 0, 0, 0],\n",
       "  3496,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 128, 64, 16, 4, 8, 16, 4, 0, 4, 0, 2, 0, 0, 0, 0], 291, [1, 0, 0, 0]),\n",
       " ([1024, 128, 64, 16, 4, 8, 16, 4, 4, 4, 0, 0, 0, 0, 0, 0], 291, [0, 0, 0, 1]),\n",
       " ([1024, 128, 64, 16, 8, 8, 16, 4, 2, 4, 0, 0, 0, 0, 0, 0], 582, [1, 0, 0, 0]),\n",
       " ([1024, 128, 64, 16, 0, 16, 16, 4, 0, 2, 4, 2, 0, 0, 0, 0],\n",
       "  1165,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 128, 64, 16, 0, 0, 32, 4, 0, 2, 4, 2, 0, 0, 0, 2],\n",
       "  2331,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 128, 64, 16, 2, 2, 32, 4, 0, 0, 4, 4, 0, 0, 0, 0], 291, [1, 0, 0, 0]),\n",
       " ([1024, 128, 64, 16, 2, 4, 32, 8, 0, 0, 4, 0, 0, 0, 0, 0],\n",
       "  1748,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 128, 64, 16, 4, 8, 32, 8, 0, 0, 0, 2, 0, 0, 0, 0],\n",
       "  1748,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 128, 64, 16, 4, 8, 32, 8, 4, 0, 0, 0, 2, 0, 0, 0], 291, [0, 0, 0, 1]),\n",
       " ([1024, 128, 64, 16, 8, 8, 32, 8, 2, 0, 0, 2, 0, 0, 0, 0], 582, [1, 0, 0, 0]),\n",
       " ([1024, 128, 64, 16, 8, 8, 32, 8, 4, 0, 0, 2, 0, 0, 0, 0], 291, [1, 0, 0, 0]),\n",
       " ([1024, 128, 64, 16, 0, 16, 32, 8, 0, 0, 4, 2, 0, 0, 0, 2],\n",
       "  1165,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 128, 64, 16, 2, 16, 32, 8, 0, 0, 4, 4, 0, 0, 0, 0],\n",
       "  291,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 128, 64, 16, 2, 16, 32, 8, 0, 0, 0, 8, 0, 0, 0, 2],\n",
       "  582,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 128, 64, 16, 8, 16, 32, 8, 0, 8, 2, 2, 0, 0, 0, 0],\n",
       "  291,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 128, 64, 16, 16, 16, 32, 8, 2, 4, 0, 2, 0, 0, 0, 0],\n",
       "  582,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 128, 64, 16, 0, 32, 32, 8, 0, 2, 4, 2, 0, 0, 0, 2],\n",
       "  1165,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 128, 64, 16, 0, 0, 64, 8, 0, 2, 4, 2, 0, 0, 0, 4],\n",
       "  4953,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 128, 128, 16, 2, 2, 4, 8, 0, 0, 0, 2, 0, 0, 0, 4],\n",
       "  9359,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 128, 128, 16, 2, 4, 4, 8, 0, 0, 0, 2, 0, 0, 0, 4], 292, [1, 0, 0, 0]),\n",
       " ([1024, 256, 16, 0, 2, 8, 8, 0, 4, 0, 0, 0, 4, 0, 0, 0], 80224, [0, 0, 0, 1]),\n",
       " ([1024, 256, 16, 0, 2, 16, 2, 0, 4, 0, 0, 0, 4, 0, 0, 0], 4789, [0, 0, 0, 1]),\n",
       " ([1024, 256, 16, 2, 2, 16, 2, 0, 8, 0, 0, 0, 0, 0, 0, 0], 2394, [1, 0, 0, 0]),\n",
       " ([1024, 256, 32, 4, 2, 2, 0, 8, 0, 0, 0, 2, 0, 0, 0, 0], 10786, [1, 0, 0, 0]),\n",
       " ([1024, 256, 32, 4, 4, 2, 0, 8, 0, 0, 0, 2, 0, 0, 0, 0], 1198, [1, 0, 0, 0]),\n",
       " ([1024, 256, 32, 4, 4, 4, 8, 0, 2, 0, 0, 0, 2, 0, 0, 0], 599, [0, 0, 0, 1]),\n",
       " ([1024, 256, 32, 4, 4, 4, 8, 0, 4, 2, 0, 0, 0, 0, 0, 0], 599, [1, 0, 0, 0]),\n",
       " ([1024, 256, 32, 4, 8, 4, 8, 0, 0, 2, 2, 0, 0, 0, 0, 0], 1198, [1, 0, 0, 0]),\n",
       " ([1024, 256, 32, 4, 8, 4, 8, 2, 0, 4, 2, 0, 0, 0, 0, 0], 299, [1, 0, 0, 0]),\n",
       " ([1024, 256, 32, 4, 8, 8, 8, 2, 0, 0, 4, 0, 0, 0, 0, 0], 1797, [1, 0, 0, 0]),\n",
       " ([1024, 256, 32, 4, 16, 8, 2, 0, 2, 4, 0, 0, 0, 0, 0, 0], 2396, [0, 0, 0, 1]),\n",
       " ([1024, 256, 32, 4, 0, 16, 8, 4, 0, 2, 4, 2, 0, 0, 0, 0], 299, [1, 0, 0, 0]),\n",
       " ([1024, 256, 32, 8, 2, 16, 8, 2, 0, 2, 4, 0, 0, 0, 0, 0], 599, [1, 0, 0, 0]),\n",
       " ([1024, 256, 32, 8, 4, 16, 8, 4, 4, 4, 0, 0, 0, 0, 0, 0], 599, [1, 0, 0, 0]),\n",
       " ([1024, 256, 32, 8, 4, 16, 8, 4, 0, 0, 8, 2, 0, 0, 0, 0], 599, [0, 1, 0, 0]),\n",
       " ([1024, 256, 32, 8, 4, 16, 16, 4, 0, 0, 0, 4, 0, 0, 0, 0],\n",
       "  2996,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 256, 32, 8, 0, 4, 32, 4, 0, 0, 0, 4, 0, 0, 0, 2], 4794, [0, 1, 0, 0]),\n",
       " ([1024, 256, 64, 8, 2, 4, 0, 8, 0, 0, 0, 2, 0, 0, 0, 0], 21612, [1, 0, 0, 0]),\n",
       " ([1024, 256, 64, 8, 0, 2, 4, 8, 0, 0, 0, 4, 0, 0, 0, 2], 600, [0, 1, 0, 0]),\n",
       " ([1024, 256, 64, 8, 2, 4, 8, 0, 4, 0, 0, 0, 4, 0, 0, 0], 600, [0, 0, 0, 1]),\n",
       " ([1024, 256, 64, 8, 2, 4, 8, 0, 8, 0, 2, 0, 0, 0, 0, 0], 1200, [1, 0, 0, 0]),\n",
       " ([1024, 256, 64, 8, 0, 2, 4, 8, 0, 0, 8, 2, 0, 0, 0, 4], 300, [0, 1, 0, 0]),\n",
       " ([1024, 256, 64, 8, 2, 4, 8, 0, 8, 2, 0, 0, 8, 2, 0, 0], 300, [0, 0, 0, 1]),\n",
       " ([1024, 256, 64, 8, 2, 4, 8, 2, 16, 4, 0, 0, 0, 0, 0, 0], 1500, [1, 0, 0, 0]),\n",
       " ([1024, 256, 64, 8, 2, 8, 8, 2, 16, 2, 0, 0, 0, 0, 0, 0], 600, [1, 0, 0, 0]),\n",
       " ([1024, 256, 64, 8, 0, 2, 16, 2, 0, 0, 16, 2, 0, 0, 0, 2],\n",
       "  1200,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 256, 64, 8, 0, 4, 16, 2, 0, 0, 16, 2, 0, 0, 0, 2], 300, [0, 1, 0, 0]),\n",
       " ([1024, 256, 64, 8, 2, 4, 32, 4, 0, 0, 0, 2, 0, 0, 0, 0], 5403, [1, 0, 0, 0]),\n",
       " ([1024, 256, 64, 8, 4, 4, 32, 4, 2, 0, 0, 2, 0, 0, 0, 0], 300, [1, 0, 0, 0]),\n",
       " ([1024, 256, 64, 8, 0, 8, 32, 4, 0, 0, 2, 4, 0, 0, 0, 0], 1801, [0, 1, 0, 0]),\n",
       " ([1024, 256, 64, 8, 2, 8, 32, 8, 0, 0, 2, 0, 0, 0, 0, 0], 1200, [1, 0, 0, 0]),\n",
       " ([1024, 256, 64, 8, 2, 8, 32, 8, 4, 0, 0, 0, 0, 0, 0, 0], 600, [0, 0, 0, 1]),\n",
       " ([1024, 256, 64, 16, 4, 8, 32, 0, 4, 4, 4, 0, 0, 0, 0, 0],\n",
       "  1801,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 256, 64, 16, 8, 8, 32, 2, 0, 4, 4, 0, 0, 0, 0, 0], 600, [1, 0, 0, 0]),\n",
       " ([1024, 256, 64, 16, 0, 16, 32, 2, 0, 0, 2, 8, 0, 0, 0, 2],\n",
       "  1801,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 256, 64, 16, 0, 16, 32, 2, 0, 0, 2, 8, 0, 0, 0, 4],\n",
       "  300,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 256, 64, 16, 4, 16, 32, 4, 4, 8, 0, 0, 0, 4, 0, 0],\n",
       "  300,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 256, 64, 16, 16, 16, 32, 4, 0, 8, 2, 2, 0, 2, 0, 0],\n",
       "  300,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 256, 64, 16, 0, 32, 32, 4, 0, 0, 8, 4, 0, 0, 0, 4],\n",
       "  3001,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 256, 64, 16, 0, 0, 64, 4, 0, 0, 8, 4, 0, 0, 2, 4],\n",
       "  4802,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 256, 64, 16, 0, 0, 64, 4, 0, 0, 8, 4, 0, 0, 4, 4], 300, [0, 1, 0, 0]),\n",
       " ([1024, 256, 64, 16, 0, 0, 64, 4, 0, 2, 8, 4, 0, 0, 0, 8], 600, [0, 1, 0, 0]),\n",
       " ([1024, 256, 128, 16, 0, 4, 8, 8, 0, 0, 0, 8, 0, 0, 0, 0],\n",
       "  42177,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 256, 128, 16, 0, 4, 8, 16, 0, 2, 0, 0, 0, 0, 0, 0],\n",
       "  4820,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 256, 128, 16, 4, 8, 16, 2, 4, 0, 0, 0, 0, 0, 0, 0],\n",
       "  602,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 256, 128, 16, 8, 8, 16, 4, 0, 0, 0, 0, 0, 0, 0, 0],\n",
       "  3615,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 256, 128, 16, 0, 16, 16, 4, 0, 0, 0, 2, 0, 0, 0, 0],\n",
       "  4820,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 256, 128, 16, 4, 16, 16, 4, 0, 0, 0, 2, 0, 0, 0, 0],\n",
       "  602,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 256, 128, 16, 0, 4, 32, 4, 0, 0, 0, 2, 0, 0, 0, 2],\n",
       "  4820,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 256, 128, 16, 4, 4, 32, 4, 2, 0, 0, 2, 0, 0, 0, 0],\n",
       "  301,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 256, 128, 16, 0, 8, 32, 4, 0, 0, 0, 4, 0, 0, 0, 2],\n",
       "  1807,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 256, 128, 16, 2, 8, 32, 8, 0, 0, 0, 2, 0, 0, 0, 0],\n",
       "  1205,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 256, 128, 16, 4, 8, 32, 8, 2, 0, 2, 0, 0, 0, 0, 0],\n",
       "  301,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 256, 128, 16, 4, 8, 32, 8, 4, 0, 0, 0, 2, 0, 0, 0],\n",
       "  301,\n",
       "  [0, 0, 0, 1]),\n",
       " ([1024, 256, 128, 16, 8, 8, 32, 8, 2, 0, 2, 0, 0, 0, 0, 0],\n",
       "  602,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 256, 128, 16, 8, 8, 32, 8, 2, 0, 4, 0, 0, 0, 0, 0],\n",
       "  301,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 256, 128, 16, 0, 16, 32, 8, 0, 2, 4, 2, 0, 0, 0, 0],\n",
       "  1205,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 256, 128, 16, 2, 16, 32, 8, 2, 8, 0, 0, 2, 0, 0, 0],\n",
       "  301,\n",
       "  [0, 0, 0, 1]),\n",
       " ([1024, 256, 128, 16, 8, 16, 32, 8, 2, 8, 2, 0, 0, 0, 0, 0],\n",
       "  301,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 256, 128, 16, 8, 16, 32, 8, 4, 16, 0, 0, 2, 0, 0, 0],\n",
       "  753,\n",
       "  [0, 0, 0, 1]),\n",
       " ([1024, 256, 128, 16, 8, 32, 32, 8, 4, 2, 0, 0, 2, 0, 0, 0],\n",
       "  1205,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 256, 128, 16, 8, 64, 8, 0, 8, 2, 0, 0, 4, 0, 0, 0],\n",
       "  5724,\n",
       "  [0, 0, 0, 1]),\n",
       " ([1024, 256, 128, 16, 8, 64, 16, 4, 0, 2, 0, 4, 0, 0, 0, 0],\n",
       "  1506,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 256, 128, 16, 8, 64, 16, 4, 8, 4, 0, 0, 0, 0, 0, 0],\n",
       "  903,\n",
       "  [0, 0, 0, 1]),\n",
       " ([1024, 256, 128, 16, 16, 64, 16, 4, 0, 4, 2, 0, 0, 0, 0, 0],\n",
       "  1205,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 256, 128, 16, 16, 64, 16, 4, 8, 2, 0, 2, 0, 0, 0, 0],\n",
       "  301,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 256, 128, 16, 16, 64, 16, 4, 8, 8, 0, 0, 2, 0, 0, 0],\n",
       "  301,\n",
       "  [0, 0, 0, 1]),\n",
       " ([1024, 256, 128, 16, 16, 64, 16, 4, 16, 0, 0, 0, 4, 0, 0, 0],\n",
       "  1506,\n",
       "  [0, 0, 0, 1]),\n",
       " ([1024, 256, 128, 16, 32, 64, 16, 4, 4, 2, 0, 0, 0, 0, 0, 0],\n",
       "  2410,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 256, 128, 16, 32, 64, 16, 4, 0, 0, 0, 8, 0, 0, 0, 4],\n",
       "  903,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 256, 128, 16, 32, 64, 16, 4, 8, 8, 2, 0, 0, 0, 0, 0],\n",
       "  301,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 256, 128, 16, 32, 64, 16, 4, 0, 0, 16, 2, 0, 0, 0, 2],\n",
       "  602,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 256, 128, 16, 32, 64, 32, 4, 2, 0, 0, 4, 0, 0, 0, 0],\n",
       "  2711,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 256, 128, 16, 32, 64, 32, 4, 0, 0, 8, 4, 0, 0, 0, 0],\n",
       "  903,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 256, 128, 16, 32, 64, 32, 8, 0, 2, 8, 0, 0, 0, 0, 0],\n",
       "  602,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 256, 128, 16, 32, 64, 32, 8, 0, 0, 16, 8, 0, 0, 0, 4],\n",
       "  1054,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 256, 128, 16, 32, 64, 32, 8, 16, 16, 4, 0, 2, 0, 0, 0],\n",
       "  376,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 256, 128, 16, 32, 64, 32, 8, 0, 0, 32, 4, 0, 0, 0, 4],\n",
       "  1355,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 256, 128, 16, 32, 64, 64, 8, 0, 2, 0, 8, 0, 0, 0, 0],\n",
       "  5423,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 256, 128, 16, 0, 32, 128, 8, 0, 0, 2, 8, 0, 0, 0, 2],\n",
       "  9641,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 256, 256, 16, 2, 32, 2, 16, 0, 0, 0, 2, 0, 0, 0, 0],\n",
       "  41271,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 256, 256, 32, 4, 32, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0],\n",
       "  10924,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 32, 0, 4, 32, 4, 0, 0, 0, 0, 0, 2, 0, 0, 0],\n",
       "  327363,\n",
       "  [0, 0, 0, 1]),\n",
       " ([1024, 512, 64, 2, 2, 4, 0, 4, 0, 0, 0, 2, 0, 0, 0, 0], 20336, [1, 0, 0, 0]),\n",
       " ([1024, 512, 64, 2, 0, 0, 2, 8, 0, 0, 0, 4, 0, 0, 0, 0], 7626, [0, 1, 0, 0]),\n",
       " ([1024, 512, 64, 2, 4, 8, 0, 0, 4, 0, 0, 0, 2, 0, 0, 0], 1271, [0, 0, 0, 1]),\n",
       " ([1024, 512, 64, 2, 8, 8, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0], 2542, [1, 0, 0, 0]),\n",
       " ([1024, 512, 64, 2, 0, 0, 16, 2, 0, 0, 0, 2, 0, 0, 0, 2], 5084, [0, 1, 0, 0]),\n",
       " ([1024, 512, 64, 4, 0, 2, 16, 4, 0, 0, 0, 0, 0, 0, 0, 0], 5084, [1, 0, 0, 0]),\n",
       " ([1024, 512, 64, 8, 0, 2, 16, 2, 0, 0, 2, 0, 0, 0, 0, 0], 2542, [1, 0, 0, 0]),\n",
       " ([1024, 512, 64, 8, 0, 4, 16, 2, 0, 0, 0, 2, 0, 0, 0, 0], 1271, [0, 1, 0, 0]),\n",
       " ([1024, 512, 64, 8, 0, 4, 16, 4, 0, 2, 0, 2, 0, 0, 0, 0], 635, [1, 0, 0, 0]),\n",
       " ([1024, 512, 64, 8, 2, 4, 16, 4, 0, 0, 0, 4, 0, 0, 0, 0], 635, [0, 1, 0, 0]),\n",
       " ([1024, 512, 64, 8, 4, 4, 16, 8, 0, 0, 0, 2, 0, 0, 0, 0], 1906, [1, 0, 0, 0]),\n",
       " ([1024, 512, 64, 8, 0, 8, 16, 8, 0, 0, 0, 4, 0, 0, 0, 0], 3813, [0, 1, 0, 0]),\n",
       " ([1024, 512, 64, 16, 0, 8, 16, 4, 0, 0, 2, 0, 0, 0, 0, 0],\n",
       "  5084,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 64, 16, 2, 8, 16, 4, 0, 0, 0, 4, 0, 0, 0, 0], 635, [0, 1, 0, 0]),\n",
       " ([1024, 512, 64, 16, 8, 8, 16, 4, 0, 4, 0, 2, 0, 2, 0, 0], 317, [1, 0, 0, 0]),\n",
       " ([1024, 512, 64, 16, 0, 16, 16, 4, 0, 2, 4, 2, 0, 0, 0, 2],\n",
       "  635,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 512, 64, 16, 0, 2, 32, 4, 0, 2, 4, 2, 0, 0, 0, 2],\n",
       "  1271,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 512, 64, 16, 0, 4, 32, 4, 0, 2, 4, 4, 0, 0, 0, 0], 635, [1, 0, 0, 0]),\n",
       " ([1024, 512, 64, 16, 2, 4, 32, 8, 0, 2, 4, 0, 0, 0, 0, 0], 635, [1, 0, 0, 0]),\n",
       " ([1024, 512, 64, 16, 4, 8, 32, 8, 2, 0, 0, 2, 0, 0, 0, 0], 953, [1, 0, 0, 0]),\n",
       " ([1024, 512, 64, 16, 4, 8, 32, 8, 4, 2, 0, 0, 0, 0, 0, 0], 317, [0, 0, 0, 1]),\n",
       " ([1024, 512, 64, 16, 8, 8, 32, 8, 0, 2, 2, 0, 0, 0, 0, 0], 635, [1, 0, 0, 0]),\n",
       " ([1024, 512, 64, 16, 0, 16, 32, 8, 0, 2, 4, 2, 0, 0, 0, 2],\n",
       "  635,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 512, 64, 16, 0, 16, 32, 8, 0, 0, 2, 8, 0, 0, 0, 4],\n",
       "  953,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 512, 64, 16, 0, 16, 32, 16, 0, 0, 4, 4, 0, 0, 0, 0],\n",
       "  3177,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 64, 32, 2, 16, 32, 4, 0, 0, 4, 0, 0, 0, 0, 0],\n",
       "  5084,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 64, 32, 4, 16, 32, 4, 2, 4, 0, 0, 0, 0, 0, 0],\n",
       "  317,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 64, 32, 8, 16, 32, 4, 0, 4, 2, 0, 0, 2, 0, 0],\n",
       "  317,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 64, 32, 8, 16, 32, 4, 8, 4, 0, 0, 0, 0, 0, 0],\n",
       "  953,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 64, 32, 16, 16, 32, 4, 0, 4, 0, 2, 0, 0, 0, 0],\n",
       "  1271,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 64, 32, 0, 32, 32, 4, 0, 0, 4, 2, 0, 0, 0, 2],\n",
       "  2542,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 512, 64, 32, 0, 2, 64, 4, 0, 0, 4, 2, 0, 0, 0, 2],\n",
       "  5084,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 512, 128, 32, 0, 4, 4, 4, 0, 0, 0, 4, 0, 0, 0, 0],\n",
       "  43364,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 128, 32, 0, 4, 4, 8, 0, 0, 2, 0, 0, 0, 0, 0],\n",
       "  2550,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 128, 32, 2, 8, 8, 0, 2, 0, 0, 0, 0, 0, 0, 0],\n",
       "  2550,\n",
       "  [0, 0, 0, 1]),\n",
       " ([1024, 512, 128, 32, 4, 8, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0],\n",
       "  1275,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 128, 32, 0, 4, 16, 2, 0, 0, 0, 2, 0, 0, 0, 0],\n",
       "  5101,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 512, 128, 32, 0, 4, 16, 4, 0, 2, 0, 0, 0, 0, 0, 0],\n",
       "  1275,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 128, 32, 0, 4, 16, 4, 0, 0, 0, 4, 0, 0, 0, 0],\n",
       "  1275,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 512, 128, 32, 2, 4, 16, 8, 0, 0, 0, 0, 0, 0, 0, 0],\n",
       "  2550,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 128, 32, 4, 4, 16, 8, 0, 0, 2, 0, 0, 0, 0, 0],\n",
       "  637,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 128, 32, 0, 8, 16, 8, 0, 0, 0, 2, 0, 0, 0, 2],\n",
       "  1275,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 512, 128, 32, 2, 8, 16, 8, 0, 0, 0, 4, 0, 0, 0, 0],\n",
       "  637,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 128, 32, 4, 8, 16, 8, 2, 4, 0, 0, 0, 0, 0, 0],\n",
       "  318,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 128, 32, 0, 16, 16, 8, 0, 2, 4, 4, 0, 0, 0, 2],\n",
       "  797,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 512, 128, 32, 0, 2, 32, 8, 0, 0, 2, 8, 0, 0, 0, 4],\n",
       "  3507,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 512, 128, 32, 0, 2, 32, 16, 0, 0, 4, 4, 0, 0, 0, 0],\n",
       "  3188,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 128, 32, 0, 2, 32, 16, 0, 0, 0, 8, 0, 0, 0, 2],\n",
       "  1275,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 512, 128, 32, 4, 32, 16, 2, 2, 8, 0, 0, 0, 0, 0, 0],\n",
       "  318,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 128, 32, 4, 32, 16, 4, 4, 8, 2, 0, 0, 0, 0, 0],\n",
       "  318,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 128, 32, 8, 32, 16, 4, 0, 8, 2, 0, 0, 2, 0, 0],\n",
       "  318,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 128, 32, 16, 32, 16, 4, 4, 4, 0, 0, 0, 0, 0, 0],\n",
       "  1594,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 128, 32, 16, 32, 16, 4, 0, 0, 8, 2, 0, 0, 0, 0],\n",
       "  637,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 512, 128, 32, 16, 32, 16, 4, 8, 8, 4, 4, 0, 0, 0, 0],\n",
       "  239,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 128, 32, 16, 32, 16, 4, 0, 0, 16, 8, 0, 0, 0, 2],\n",
       "  956,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 512, 128, 32, 16, 32, 32, 4, 0, 2, 0, 8, 0, 0, 0, 2],\n",
       "  1275,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 128, 32, 0, 16, 64, 4, 0, 0, 4, 8, 0, 0, 0, 2],\n",
       "  5420,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 512, 128, 32, 16, 64, 4, 0, 4, 8, 0, 0, 4, 0, 0, 0],\n",
       "  318,\n",
       "  [0, 0, 0, 1]),\n",
       " ([1024, 512, 128, 32, 16, 64, 4, 2, 8, 8, 0, 0, 0, 0, 0, 0],\n",
       "  637,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 128, 32, 16, 64, 4, 4, 8, 8, 0, 0, 0, 0, 0, 0],\n",
       "  318,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 128, 32, 16, 64, 8, 0, 16, 0, 0, 0, 2, 0, 0, 0],\n",
       "  3826,\n",
       "  [0, 0, 0, 1]),\n",
       " ([1024, 512, 128, 32, 2, 16, 64, 8, 0, 0, 16, 4, 0, 0, 0, 0],\n",
       "  318,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 128, 32, 4, 32, 64, 8, 0, 2, 4, 0, 0, 0, 0, 0],\n",
       "  2869,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 128, 32, 8, 32, 64, 8, 2, 4, 2, 0, 0, 0, 0, 0],\n",
       "  318,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 128, 32, 8, 32, 64, 8, 2, 8, 0, 0, 2, 0, 0, 0],\n",
       "  318,\n",
       "  [0, 0, 0, 1]),\n",
       " ([1024, 512, 128, 32, 16, 32, 64, 8, 0, 8, 4, 4, 0, 0, 2, 0],\n",
       "  398,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 128, 32, 16, 32, 64, 8, 8, 8, 0, 0, 4, 0, 0, 0],\n",
       "  478,\n",
       "  [0, 0, 0, 1]),\n",
       " ([1024, 512, 128, 32, 16, 32, 64, 8, 16, 0, 0, 0, 4, 2, 0, 0],\n",
       "  637,\n",
       "  [0, 0, 0, 1]),\n",
       " ([1024, 512, 128, 32, 32, 32, 64, 8, 4, 2, 0, 2, 0, 0, 0, 0],\n",
       "  1275,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 128, 32, 0, 64, 64, 8, 0, 4, 2, 4, 0, 0, 0, 0],\n",
       "  5420,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 512, 128, 32, 0, 0, 128, 8, 0, 4, 2, 4, 0, 0, 0, 2],\n",
       "  10204,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 512, 256, 32, 2, 4, 2, 8, 0, 0, 0, 4, 0, 0, 0, 2],\n",
       "  20547,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 256, 32, 2, 4, 4, 8, 0, 0, 0, 4, 0, 0, 0, 2], 321, [1, 0, 0, 0]),\n",
       " ([1024, 512, 256, 32, 2, 8, 8, 0, 4, 0, 0, 0, 4, 0, 0, 0],\n",
       "  1926,\n",
       "  [0, 0, 0, 1]),\n",
       " ([1024, 512, 256, 32, 2, 8, 8, 0, 8, 2, 0, 0, 0, 0, 0, 0],\n",
       "  1284,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 256, 32, 2, 16, 0, 0, 8, 2, 0, 0, 2, 0, 0, 0],\n",
       "  2568,\n",
       "  [0, 0, 0, 1]),\n",
       " ([1024, 512, 256, 32, 2, 2, 16, 4, 0, 0, 8, 2, 0, 0, 0, 0],\n",
       "  321,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 256, 32, 0, 4, 16, 4, 0, 0, 8, 2, 0, 0, 0, 2],\n",
       "  321,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 512, 256, 32, 0, 4, 16, 4, 0, 0, 8, 4, 0, 0, 2, 0],\n",
       "  321,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 256, 32, 0, 4, 16, 8, 0, 0, 8, 2, 0, 0, 2, 0],\n",
       "  642,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 256, 32, 0, 4, 16, 8, 0, 0, 8, 4, 0, 0, 2, 0],\n",
       "  321,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 256, 32, 2, 8, 16, 8, 8, 0, 2, 0, 2, 0, 0, 0],\n",
       "  321,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 256, 32, 4, 16, 16, 8, 4, 2, 2, 2, 0, 0, 0, 0],\n",
       "  401,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 256, 32, 8, 16, 16, 8, 0, 4, 2, 2, 0, 0, 0, 0],\n",
       "  481,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 256, 32, 0, 8, 32, 8, 0, 2, 4, 4, 0, 0, 0, 0],\n",
       "  2889,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 512, 256, 32, 2, 8, 32, 8, 2, 8, 0, 0, 2, 0, 0, 0],\n",
       "  321,\n",
       "  [0, 0, 0, 1]),\n",
       " ([1024, 512, 256, 32, 4, 16, 32, 8, 2, 0, 0, 2, 0, 0, 0, 0],\n",
       "  1605,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 256, 32, 4, 16, 32, 8, 4, 0, 0, 0, 2, 0, 0, 0],\n",
       "  321,\n",
       "  [0, 0, 0, 1]),\n",
       " ([1024, 512, 256, 32, 8, 16, 32, 8, 2, 0, 2, 0, 0, 0, 0, 0],\n",
       "  642,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 256, 32, 8, 16, 32, 8, 2, 0, 4, 0, 0, 0, 0, 0],\n",
       "  321,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 256, 32, 8, 16, 32, 8, 8, 2, 0, 0, 2, 0, 0, 0],\n",
       "  321,\n",
       "  [0, 0, 0, 1]),\n",
       " ([1024, 512, 256, 32, 16, 16, 32, 8, 2, 4, 0, 0, 0, 0, 0, 0],\n",
       "  1605,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 256, 32, 0, 32, 32, 8, 0, 0, 2, 4, 0, 0, 0, 2],\n",
       "  2568,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 512, 256, 32, 0, 0, 64, 8, 0, 0, 2, 4, 0, 0, 0, 4],\n",
       "  10916,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 512, 256, 32, 2, 0, 64, 8, 0, 0, 2, 8, 0, 0, 0, 0],\n",
       "  1284,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 256, 32, 2, 2, 64, 16, 0, 0, 2, 2, 0, 0, 0, 0],\n",
       "  1284,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 256, 32, 4, 2, 64, 16, 0, 0, 2, 2, 0, 0, 0, 0],\n",
       "  321,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 256, 32, 4, 2, 64, 16, 4, 0, 0, 0, 2, 0, 0, 0],\n",
       "  321,\n",
       "  [0, 0, 0, 1]),\n",
       " ([1024, 512, 256, 32, 8, 4, 64, 16, 2, 0, 2, 0, 0, 0, 0, 0],\n",
       "  963,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 256, 32, 8, 4, 64, 16, 2, 0, 4, 0, 0, 0, 0, 0],\n",
       "  321,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 256, 32, 8, 4, 64, 16, 4, 4, 0, 0, 0, 0, 0, 0],\n",
       "  321,\n",
       "  [0, 0, 0, 1]),\n",
       " ([1024, 512, 256, 32, 8, 8, 64, 16, 4, 0, 0, 0, 2, 0, 0, 0],\n",
       "  642,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 256, 32, 0, 16, 64, 16, 0, 4, 2, 4, 0, 0, 0, 2],\n",
       "  802,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 512, 256, 32, 8, 16, 64, 16, 4, 4, 8, 2, 0, 0, 0, 0],\n",
       "  240,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 256, 32, 16, 16, 64, 16, 2, 8, 4, 0, 0, 0, 0, 0],\n",
       "  802,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 256, 32, 0, 32, 64, 16, 0, 4, 8, 4, 0, 0, 0, 2],\n",
       "  1284,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 512, 256, 32, 2, 32, 64, 16, 4, 16, 0, 0, 4, 0, 0, 0],\n",
       "  802,\n",
       "  [0, 0, 0, 1]),\n",
       " ([1024, 512, 256, 32, 2, 32, 64, 16, 8, 16, 0, 2, 0, 0, 0, 0],\n",
       "  321,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 256, 2, 2, 64, 64, 32, 8, 4, 16, 2, 2, 0, 4, 0],\n",
       "  321,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 256, 2, 0, 2, 128, 32, 8, 4, 16, 2, 0, 0, 4, 4],\n",
       "  1324,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 512, 256, 8, 16, 2, 128, 8, 16, 64, 8, 2, 0, 2, 0, 0],\n",
       "  240,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 256, 16, 32, 2, 128, 2, 4, 64, 8, 0, 0, 2, 0, 0],\n",
       "  963,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 256, 16, 32, 2, 128, 4, 8, 64, 8, 0, 0, 2, 0, 0],\n",
       "  240,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 512, 256, 2, 32, 2, 128, 16, 16, 64, 16, 0, 4, 4, 0, 0],\n",
       "  240,\n",
       "  [0, 0, 0, 1]),\n",
       " ([8, 4, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 321, [1, 0, 0, 0]),\n",
       " ([8, 8, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 356, [0, 0, 0, 1]),\n",
       " ([16, 8, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 316, [0, 0, 0, 1]),\n",
       " ([16, 16, 2, 2, 4, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0], 442, [1, 0, 0, 0]),\n",
       " ([32, 4, 2, 0, 8, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0], 1165, [0, 0, 0, 1]),\n",
       " ([32, 8, 2, 2, 8, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0], 450, [1, 0, 0, 0]),\n",
       " ([64, 8, 2, 0, 4, 8, 4, 0, 4, 2, 0, 0, 2, 0, 0, 0], 581, [0, 0, 0, 1]),\n",
       " ([64, 16, 2, 2, 8, 4, 4, 0, 2, 0, 0, 0, 0, 0, 0, 0], 449, [1, 0, 0, 0]),\n",
       " ([64, 16, 4, 0, 8, 8, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0], 1200, [0, 0, 0, 1]),\n",
       " ([64, 16, 4, 0, 16, 2, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0], 1200, [0, 0, 0, 1]),\n",
       " ([64, 16, 8, 0, 2, 16, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0], 451, [0, 0, 0, 1]),\n",
       " ([64, 32, 8, 0, 2, 2, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0], 1275, [1, 0, 0, 0]),\n",
       " ([64, 32, 8, 2, 8, 4, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0], 318, [1, 0, 0, 0]),\n",
       " ([64, 32, 16, 2, 2, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0], 802, [1, 0, 0, 0]),\n",
       " ([64, 32, 16, 2, 2, 2, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0], 321, [1, 0, 0, 0]),\n",
       " ([64, 64, 4, 0, 4, 8, 4, 0, 4, 2, 0, 0, 2, 0, 0, 0], 750, [0, 0, 0, 1]),\n",
       " ([64, 64, 8, 2, 8, 8, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0], 354, [1, 0, 0, 0]),\n",
       " ([0, 0, 128, 16, 0, 0, 16, 4, 0, 0, 2, 4, 0, 0, 0, 0], 1445, [0, 1, 0, 0]),\n",
       " ([128, 32, 4, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 5393, [1, 0, 0, 0]),\n",
       " ([128, 32, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 599, [1, 0, 0, 0]),\n",
       " ([0, 128, 32, 8, 0, 0, 0, 8, 0, 0, 0, 2, 0, 0, 0, 0], 1196, [0, 1, 0, 0]),\n",
       " ([128, 32, 8, 2, 8, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0], 600, [1, 0, 0, 0]),\n",
       " ([128, 32, 16, 2, 2, 4, 0, 0, 4, 0, 0, 0, 2, 0, 0, 0], 602, [1, 0, 0, 0]),\n",
       " ([128, 32, 16, 4, 2, 2, 8, 4, 0, 0, 0, 2, 0, 0, 0, 0], 225, [1, 0, 0, 0]),\n",
       " ([128, 32, 16, 8, 2, 4, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0], 451, [1, 0, 0, 0]),\n",
       " ([128, 32, 16, 8, 8, 8, 2, 0, 4, 0, 0, 0, 0, 0, 0, 0], 451, [0, 0, 0, 1]),\n",
       " ([128, 32, 16, 8, 0, 0, 16, 2, 0, 0, 4, 2, 0, 0, 0, 0], 602, [0, 1, 0, 0]),\n",
       " ([128, 32, 32, 8, 2, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0], 2731, [1, 0, 0, 0]),\n",
       " ([128, 64, 8, 0, 2, 8, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0], 11439, [0, 0, 0, 1]),\n",
       " ([128, 64, 8, 0, 4, 8, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0], 317, [1, 0, 0, 0]),\n",
       " ([128, 64, 8, 0, 4, 8, 2, 0, 4, 0, 0, 0, 0, 0, 0, 0], 317, [0, 0, 0, 1]),\n",
       " ([128, 64, 8, 2, 8, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0], 635, [1, 0, 0, 0]),\n",
       " ([128, 64, 8, 4, 8, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0], 317, [1, 0, 0, 0]),\n",
       " ([128, 64, 8, 4, 0, 0, 16, 2, 0, 0, 0, 2, 0, 0, 0, 0], 1271, [0, 1, 0, 0]),\n",
       " ([128, 64, 8, 4, 0, 2, 16, 4, 0, 0, 0, 0, 0, 0, 0, 0], 317, [1, 0, 0, 0]),\n",
       " ([128, 64, 8, 8, 2, 2, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0], 635, [1, 0, 0, 0]),\n",
       " ([128, 64, 8, 8, 2, 4, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0], 317, [1, 0, 0, 0]),\n",
       " ([128, 64, 16, 0, 2, 4, 16, 0, 0, 0, 0, 0, 2, 0, 0, 0], 1275, [0, 0, 0, 1]),\n",
       " ([128, 64, 32, 0, 4, 4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0], 5779, [1, 0, 0, 0]),\n",
       " ([128, 64, 32, 0, 4, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0], 642, [1, 0, 0, 0]),\n",
       " ([128, 64, 32, 2, 8, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 1284, [1, 0, 0, 0]),\n",
       " ([128, 64, 32, 4, 8, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 642, [1, 0, 0, 0]),\n",
       " ([128, 64, 32, 8, 0, 0, 8, 2, 0, 0, 2, 0, 0, 0, 0, 0], 642, [1, 0, 0, 0]),\n",
       " ([128, 64, 32, 8, 0, 4, 8, 4, 0, 0, 0, 4, 0, 0, 0, 0], 321, [1, 0, 0, 0]),\n",
       " ([128, 64, 32, 8, 2, 4, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0], 321, [1, 0, 0, 0]),\n",
       " ([128, 64, 32, 8, 2, 4, 16, 0, 2, 0, 0, 0, 0, 0, 0, 0], 642, [0, 0, 0, 1]),\n",
       " ([128, 64, 32, 8, 16, 4, 16, 2, 0, 4, 0, 0, 0, 0, 0, 0], 401, [1, 0, 0, 0]),\n",
       " ([128, 64, 32, 8, 16, 8, 16, 4, 0, 0, 0, 0, 0, 0, 0, 0], 481, [1, 0, 0, 0]),\n",
       " ([128, 64, 64, 8, 2, 16, 2, 8, 0, 8, 0, 2, 0, 0, 0, 0], 732, [1, 0, 0, 0]),\n",
       " ([128, 128, 8, 0, 2, 16, 2, 8, 8, 2, 0, 0, 2, 0, 0, 0], 1411, [0, 0, 0, 1]),\n",
       " ([256, 16, 0, 0, 2, 16, 4, 0, 8, 2, 0, 0, 4, 0, 0, 0], 20011, [0, 0, 0, 1]),\n",
       " ([256, 32, 4, 2, 2, 2, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0], 2324, [1, 0, 0, 0]),\n",
       " ([256, 32, 8, 2, 0, 2, 8, 4, 0, 0, 0, 2, 0, 0, 0, 4], 290, [1, 0, 0, 0]),\n",
       " ([256, 32, 16, 2, 2, 2, 0, 4, 0, 0, 0, 2, 0, 0, 0, 4], 582, [1, 0, 0, 0]),\n",
       " ([256, 32, 16, 2, 0, 0, 4, 4, 0, 0, 0, 4, 0, 0, 0, 4], 582, [0, 1, 0, 0]),\n",
       " ([256, 32, 16, 2, 0, 2, 4, 8, 0, 0, 0, 4, 0, 0, 0, 0], 582, [1, 0, 0, 0]),\n",
       " ([256, 32, 16, 2, 2, 4, 8, 8, 0, 0, 0, 2, 0, 0, 0, 0], 437, [1, 0, 0, 0]),\n",
       " ([256, 32, 16, 2, 2, 4, 16, 0, 4, 0, 0, 0, 0, 0, 0, 0], 1456, [0, 0, 0, 1]),\n",
       " ([256, 32, 32, 4, 2, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0], 5264, [1, 0, 0, 0]),\n",
       " ([256, 32, 32, 4, 2, 4, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0], 292, [1, 0, 0, 0]),\n",
       " ([256, 32, 32, 8, 2, 4, 0, 2, 4, 0, 0, 0, 0, 0, 0, 0], 584, [1, 0, 0, 0]),\n",
       " ([256, 64, 8, 0, 2, 4, 4, 0, 4, 0, 0, 0, 2, 0, 0, 0], 5093, [0, 0, 0, 1]),\n",
       " ([256, 64, 8, 0, 2, 8, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0], 1797, [0, 0, 0, 1]),\n",
       " ([256, 64, 8, 0, 4, 8, 2, 0, 4, 0, 0, 0, 4, 0, 0, 0], 299, [0, 0, 0, 1]),\n",
       " ([256, 64, 8, 2, 8, 8, 2, 0, 4, 0, 0, 0, 0, 0, 0, 0], 599, [1, 0, 0, 0]),\n",
       " ([256, 64, 8, 2, 0, 0, 16, 2, 0, 0, 0, 4, 0, 0, 0, 2], 1198, [0, 1, 0, 0]),\n",
       " ([256, 64, 8, 4, 0, 2, 16, 4, 0, 0, 0, 2, 0, 0, 0, 0], 299, [1, 0, 0, 0]),\n",
       " ([256, 64, 8, 8, 2, 2, 16, 2, 0, 0, 0, 0, 0, 0, 0, 0], 599, [1, 0, 0, 0]),\n",
       " ([256, 64, 16, 0, 2, 4, 16, 2, 4, 0, 0, 0, 0, 0, 0, 0], 1500, [0, 0, 0, 1]),\n",
       " ([256, 64, 32, 2, 2, 4, 2, 0, 4, 0, 0, 0, 0, 0, 0, 0], 2410, [1, 0, 0, 0]),\n",
       " ([256, 64, 32, 4, 2, 2, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0], 903, [1, 0, 0, 0]),\n",
       " ([256, 64, 32, 4, 2, 4, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0], 301, [1, 0, 0, 0]),\n",
       " ([256, 64, 32, 4, 8, 8, 2, 0, 4, 0, 0, 0, 0, 0, 0, 0], 903, [0, 0, 0, 1]),\n",
       " ([256, 64, 32, 4, 16, 2, 0, 0, 4, 0, 0, 0, 2, 0, 0, 0], 1205, [0, 0, 0, 1]),\n",
       " ([256, 64, 32, 4, 0, 0, 16, 4, 0, 0, 0, 4, 0, 0, 0, 2], 301, [0, 1, 0, 0]),\n",
       " ([256, 64, 32, 8, 0, 0, 16, 4, 0, 0, 2, 2, 0, 0, 0, 0], 602, [1, 0, 0, 0]),\n",
       " ([256, 64, 32, 8, 0, 4, 16, 8, 0, 0, 4, 0, 0, 0, 2, 0], 301, [1, 0, 0, 0]),\n",
       " ([256, 64, 32, 16, 2, 4, 16, 0, 8, 4, 0, 0, 0, 0, 0, 0], 1054, [1, 0, 0, 0]),\n",
       " ([256, 64, 32, 16, 2, 8, 16, 2, 8, 0, 0, 0, 0, 0, 0, 0], 301, [1, 0, 0, 0]),\n",
       " ([256, 64, 32, 16, 4, 16, 16, 4, 2, 0, 4, 0, 0, 0, 0, 0], 451, [1, 0, 0, 0]),\n",
       " ([256, 64, 32, 16, 0, 4, 32, 4, 0, 0, 4, 4, 0, 0, 0, 0], 1355, [0, 1, 0, 0]),\n",
       " ([256, 64, 64, 16, 0, 4, 4, 8, 0, 2, 0, 0, 0, 0, 0, 0], 5462, [1, 0, 0, 0]),\n",
       " ([256, 128, 16, 0, 8, 8, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0], 44486, [0, 0, 0, 1]),\n",
       " ([256, 128, 16, 2, 0, 0, 16, 2, 0, 0, 0, 4, 0, 0, 0, 0], 2542, [0, 1, 0, 0]),\n",
       " ([256, 128, 32, 4, 0, 2, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0], 11478, [1, 0, 0, 0]),\n",
       " ([256, 128, 32, 8, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0], 2550, [1, 0, 0, 0]),\n",
       " ([256, 128, 32, 8, 0, 2, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], 1275, [1, 0, 0, 0]),\n",
       " ([256, 128, 32, 8, 0, 4, 8, 4, 0, 0, 2, 4, 0, 0, 0, 0], 637, [1, 0, 0, 0]),\n",
       " ([256, 128, 32, 8, 2, 4, 8, 8, 0, 0, 2, 0, 0, 0, 0, 0], 318, [1, 0, 0, 0]),\n",
       " ([256, 128, 32, 8, 2, 4, 16, 0, 2, 0, 0, 0, 2, 0, 0, 0], 637, [0, 0, 0, 1]),\n",
       " ([256, 128, 32, 8, 0, 8, 16, 4, 0, 0, 0, 4, 0, 0, 0, 0], 956, [0, 1, 0, 0]),\n",
       " ([256, 128, 32, 8, 2, 8, 16, 8, 0, 0, 0, 0, 0, 0, 0, 0], 637, [1, 0, 0, 0]),\n",
       " ([256, 128, 32, 16, 4, 8, 16, 2, 0, 0, 0, 0, 0, 0, 0, 0], 1594, [1, 0, 0, 0]),\n",
       " ([256, 128, 32, 16, 8, 8, 16, 4, 0, 0, 0, 0, 0, 0, 0, 0], 956, [1, 0, 0, 0]),\n",
       " ([256, 128, 32, 16, 0, 16, 16, 4, 0, 0, 0, 0, 0, 0, 0, 2],\n",
       "  1275,\n",
       "  [0, 1, 0, 0]),\n",
       " ([256, 128, 32, 16, 0, 0, 32, 4, 0, 0, 0, 2, 0, 0, 0, 2], 2551, [0, 1, 0, 0]),\n",
       " ([256, 128, 64, 16, 0, 2, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0], 10915, [1, 0, 0, 0]),\n",
       " ([256, 128, 64, 16, 0, 2, 2, 8, 0, 0, 0, 0, 0, 0, 0, 0], 1284, [1, 0, 0, 0]),\n",
       " ([256, 128, 64, 16, 0, 0, 4, 8, 0, 0, 0, 0, 0, 0, 0, 2], 642, [0, 1, 0, 0]),\n",
       " ([256, 128, 64, 16, 2, 8, 8, 0, 2, 0, 0, 0, 2, 0, 0, 0], 321, [0, 0, 0, 1]),\n",
       " ([256, 128, 64, 16, 4, 16, 2, 0, 4, 2, 0, 0, 0, 0, 0, 0], 802, [0, 0, 0, 1]),\n",
       " ([256, 128, 64, 16, 2, 8, 16, 2, 8, 0, 2, 0, 0, 0, 0, 0], 321, [1, 0, 0, 0]),\n",
       " ([256, 128, 64, 16, 4, 8, 32, 2, 0, 0, 0, 4, 0, 0, 0, 2], 722, [1, 0, 0, 0]),\n",
       " ([256, 128, 64, 16, 16, 32, 2, 0, 4, 2, 0, 0, 2, 0, 0, 0], 321, [0, 0, 0, 1]),\n",
       " ([256, 128, 64, 16, 16, 32, 2, 0, 8, 0, 0, 0, 4, 0, 0, 0], 481, [0, 0, 0, 1]),\n",
       " ([256, 128, 64, 16, 2, 32, 32, 8, 0, 2, 8, 4, 0, 0, 0, 0], 441, [1, 0, 0, 0]),\n",
       " ([256, 128, 64, 16, 0, 2, 64, 8, 0, 2, 8, 4, 0, 0, 0, 2], 642, [0, 1, 0, 0]),\n",
       " ([256, 128, 128, 16, 2, 4, 8, 8, 0, 0, 0, 4, 0, 0, 0, 2], 2685, [1, 0, 0, 0]),\n",
       " ([256, 256, 16, 0, 2, 4, 16, 0, 4, 0, 0, 0, 4, 0, 0, 0], 24354, [0, 0, 0, 1]),\n",
       " ([256, 256, 32, 0, 2, 4, 2, 0, 8, 0, 0, 0, 0, 0, 0, 0], 7080, [1, 0, 0, 0]),\n",
       " ([512, 32, 2, 0, 2, 4, 2, 0, 8, 0, 0, 0, 2, 0, 0, 0], 73201, [0, 0, 0, 1]),\n",
       " ([512, 32, 4, 2, 2, 4, 0, 0, 8, 0, 0, 0, 2, 0, 0, 0], 572, [1, 0, 0, 0]),\n",
       " ([512, 32, 4, 4, 2, 4, 0, 0, 8, 0, 0, 0, 2, 0, 0, 0], 572, [1, 0, 0, 0]),\n",
       " ([512, 2, 8, 0, 2, 32, 2, 0, 8, 4, 2, 0, 2, 0, 0, 0], 282, [0, 0, 0, 1]),\n",
       " ([512, 4, 8, 2, 2, 8, 32, 4, 0, 0, 4, 4, 0, 0, 0, 0], 282, [1, 0, 0, 0]),\n",
       " ([512, 4, 8, 2, 2, 8, 32, 4, 0, 0, 0, 8, 0, 0, 0, 2], 282, [0, 1, 0, 0]),\n",
       " ([512, 4, 8, 2, 4, 16, 32, 4, 2, 0, 2, 0, 0, 0, 0, 0], 705, [1, 0, 0, 0]),\n",
       " ([512, 4, 8, 2, 8, 16, 32, 4, 0, 2, 0, 2, 0, 0, 0, 0], 282, [1, 0, 0, 0]),\n",
       " ([512, 4, 8, 2, 16, 16, 32, 4, 0, 2, 2, 2, 0, 0, 0, 0], 282, [1, 0, 0, 0]),\n",
       " ([512, 4, 8, 2, 0, 32, 32, 4, 0, 0, 2, 4, 0, 0, 0, 2], 1270, [0, 1, 0, 0]),\n",
       " ([512, 4, 8, 2, 64, 4, 0, 0, 2, 4, 0, 0, 4, 0, 0, 0], 4799, [0, 0, 0, 1]),\n",
       " ([512, 8, 8, 4, 64, 4, 0, 0, 2, 0, 0, 0, 4, 0, 0, 0], 1697, [1, 0, 0, 0]),\n",
       " ([512, 16, 4, 0, 64, 4, 2, 0, 2, 0, 0, 0, 4, 2, 0, 0], 1135, [0, 0, 0, 1]),\n",
       " ([512, 16, 4, 0, 64, 4, 4, 0, 2, 0, 0, 0, 4, 2, 0, 0], 283, [0, 0, 0, 1]),\n",
       " ([512, 16, 8, 2, 64, 4, 0, 0, 2, 2, 0, 0, 4, 0, 0, 0], 567, [1, 0, 0, 0]),\n",
       " ([512, 16, 8, 2, 0, 0, 64, 4, 0, 0, 0, 4, 0, 0, 4, 2], 283, [0, 1, 0, 0]),\n",
       " ([512, 16, 8, 2, 2, 0, 64, 8, 0, 0, 4, 2, 0, 0, 0, 0], 567, [1, 0, 0, 0]),\n",
       " ([512, 16, 8, 2, 4, 64, 8, 0, 4, 2, 0, 0, 0, 0, 0, 0], 283, [0, 0, 0, 1]),\n",
       " ([512, 16, 16, 2, 8, 64, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0], 7958, [1, 0, 0, 0]),\n",
       " ([512, 16, 16, 4, 8, 64, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0], 1136, [1, 0, 0, 0]),\n",
       " ([512, 32, 4, 0, 8, 64, 0, 0, 4, 0, 0, 0, 2, 0, 0, 0], 9152, [0, 0, 0, 1]),\n",
       " ([512, 2, 4, 0, 8, 32, 2, 0, 4, 64, 0, 0, 4, 0, 0, 0], 281, [0, 0, 0, 1]),\n",
       " ([512, 2, 4, 0, 8, 32, 2, 0, 8, 64, 0, 0, 0, 2, 0, 0], 563, [1, 0, 0, 0]),\n",
       " ([512, 2, 4, 0, 8, 32, 4, 0, 8, 64, 0, 0, 2, 0, 0, 0], 281, [0, 0, 0, 1]),\n",
       " ([512, 2, 8, 0, 16, 32, 2, 0, 2, 64, 0, 0, 0, 0, 0, 0], 3384, [1, 0, 0, 0]),\n",
       " ([512, 2, 8, 4, 0, 16, 32, 64, 0, 2, 2, 0, 0, 0, 0, 0], 282, [1, 0, 0, 0]),\n",
       " ([512, 2, 8, 4, 8, 16, 32, 64, 2, 0, 0, 2, 0, 0, 0, 0], 282, [1, 0, 0, 0]),\n",
       " ([512, 2, 8, 4, 16, 16, 32, 64, 0, 2, 2, 2, 0, 0, 0, 0], 282, [1, 0, 0, 0]),\n",
       " ([512, 2, 8, 4, 32, 32, 64, 0, 8, 4, 2, 0, 2, 0, 0, 0], 705, [0, 0, 0, 1]),\n",
       " ([512, 2, 8, 4, 0, 0, 64, 64, 0, 8, 4, 2, 0, 0, 0, 4], 2397, [0, 1, 0, 0]),\n",
       " ([512, 2, 8, 4, 0, 2, 8, 128, 0, 0, 4, 2, 0, 0, 2, 4], 2256, [0, 1, 0, 0]),\n",
       " ([512, 4, 16, 4, 2, 0, 4, 128, 0, 0, 2, 2, 0, 0, 0, 4], 706, [1, 0, 0, 0]),\n",
       " ([512, 8, 16, 4, 2, 4, 128, 0, 8, 0, 2, 0, 0, 0, 0, 0], 1132, [1, 0, 0, 0]),\n",
       " ([512, 8, 16, 4, 2, 8, 128, 4, 8, 0, 0, 0, 2, 0, 0, 0], 424, [1, 0, 0, 0]),\n",
       " ([512, 16, 16, 8, 2, 0, 128, 2, 8, 0, 0, 0, 2, 0, 0, 0], 1705, [1, 0, 0, 0]),\n",
       " ([512, 32, 8, 0, 2, 4, 128, 2, 8, 4, 2, 0, 2, 0, 0, 0], 643, [0, 0, 0, 1]),\n",
       " ([512, 32, 8, 4, 2, 8, 128, 0, 8, 0, 2, 0, 2, 0, 0, 0], 429, [1, 0, 0, 0]),\n",
       " ([512, 32, 16, 4, 2, 2, 8, 128, 0, 0, 0, 2, 0, 0, 0, 4], 572, [1, 0, 0, 0]),\n",
       " ([512, 32, 16, 4, 4, 8, 128, 0, 4, 0, 0, 0, 4, 0, 0, 0], 572, [0, 0, 0, 1]),\n",
       " ([512, 32, 16, 4, 8, 8, 128, 0, 4, 2, 0, 0, 0, 0, 0, 0], 572, [1, 0, 0, 0]),\n",
       " ([512, 32, 16, 4, 0, 0, 16, 128, 0, 0, 4, 4, 0, 0, 0, 0], 2864, [0, 1, 0, 0]),\n",
       " ([512, 32, 32, 4, 2, 0, 4, 128, 0, 0, 0, 4, 0, 0, 0, 0], 4591, [1, 0, 0, 0]),\n",
       " ([512, 64, 4, 0, 2, 4, 128, 0, 2, 4, 0, 0, 0, 0, 0, 0], 9295, [0, 0, 0, 1]),\n",
       " ([512, 64, 4, 0, 4, 8, 128, 0, 0, 0, 2, 0, 0, 0, 0, 0], 3485, [1, 0, 0, 0]),\n",
       " ([512, 64, 4, 0, 4, 8, 128, 2, 4, 0, 0, 0, 0, 0, 0, 0], 580, [0, 0, 0, 1]),\n",
       " ([512, 64, 4, 4, 8, 8, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0], 3485, [1, 0, 0, 0]),\n",
       " ([0, 512, 64, 8, 0, 16, 128, 2, 0, 0, 0, 0, 0, 0, 0, 0], 3486, [0, 1, 0, 0]),\n",
       " ([512, 64, 8, 4, 4, 16, 128, 0, 0, 0, 2, 0, 0, 0, 0, 0], 1162, [1, 0, 0, 0]),\n",
       " ([512, 64, 8, 4, 4, 16, 128, 0, 4, 0, 0, 0, 2, 0, 0, 0], 290, [0, 0, 0, 1]),\n",
       " ([512, 64, 8, 4, 8, 16, 128, 2, 2, 0, 0, 0, 0, 0, 0, 0], 581, [1, 0, 0, 0]),\n",
       " ([512, 64, 8, 8, 8, 16, 128, 0, 4, 0, 4, 0, 0, 0, 0, 0], 871, [1, 0, 0, 0]),\n",
       " ([512, 64, 16, 0, 8, 16, 128, 0, 8, 0, 0, 0, 2, 0, 0, 0], 3490, [0, 0, 0, 1]),\n",
       " ([512, 64, 16, 0, 8, 16, 128, 0, 8, 0, 0, 0, 4, 0, 0, 0], 581, [0, 0, 0, 1]),\n",
       " ([512, 64, 16, 0, 8, 16, 128, 0, 8, 4, 0, 0, 8, 0, 0, 0], 872, [0, 0, 0, 1]),\n",
       " ([512, 64, 16, 0, 16, 16, 128, 0, 8, 4, 2, 0, 0, 2, 0, 0], 581, [1, 0, 0, 0]),\n",
       " ([512, 64, 16, 0, 32, 128, 0, 0, 8, 4, 2, 0, 4, 0, 0, 0], 2617, [0, 0, 0, 1]),\n",
       " ([512, 64, 16, 2, 2, 32, 128, 8, 0, 0, 8, 4, 0, 0, 0, 0], 290, [1, 0, 0, 0]),\n",
       " ([512, 64, 16, 2, 16, 64, 128, 8, 16, 2, 2, 2, 0, 0, 0, 0],\n",
       "  727,\n",
       "  [1, 0, 0, 0]),\n",
       " ([512, 128, 16, 2, 16, 16, 128, 8, 2, 0, 2, 4, 0, 0, 0, 2],\n",
       "  1198,\n",
       "  [1, 0, 0, 0]),\n",
       " ([512, 128, 16, 2, 32, 128, 8, 0, 4, 2, 4, 0, 2, 0, 0, 0], 674, [0, 0, 0, 1]),\n",
       " ([512, 256, 16, 4, 32, 4, 8, 4, 2, 0, 2, 2, 0, 0, 0, 0], 5154, [1, 0, 0, 0]),\n",
       " ([512, 256, 16, 8, 0, 32, 16, 2, 0, 0, 2, 4, 0, 0, 0, 2], 793, [0, 1, 0, 0]),\n",
       " ([512, 256, 32, 8, 0, 32, 2, 2, 0, 2, 0, 4, 0, 0, 0, 2], 1271, [1, 0, 0, 0]),\n",
       " ([512, 256, 32, 8, 0, 0, 32, 4, 0, 0, 4, 4, 0, 0, 0, 2], 635, [0, 1, 0, 0]),\n",
       " ([512, 256, 64, 8, 2, 0, 4, 8, 0, 0, 0, 2, 0, 0, 0, 0], 11478, [1, 0, 0, 0]),\n",
       " ([512, 256, 64, 8, 2, 4, 8, 0, 2, 0, 0, 0, 4, 0, 0, 0], 318, [0, 0, 0, 1]),\n",
       " ([512, 256, 64, 8, 4, 4, 8, 0, 4, 2, 0, 0, 0, 0, 0, 0], 318, [1, 0, 0, 0]),\n",
       " ([512, 256, 64, 8, 8, 4, 8, 2, 0, 2, 0, 0, 0, 0, 0, 0], 637, [1, 0, 0, 0]),\n",
       " ([512, 256, 64, 8, 8, 4, 8, 2, 0, 0, 0, 4, 0, 0, 0, 0], 318, [0, 1, 0, 0]),\n",
       " ([512, 256, 64, 8, 8, 8, 8, 4, 2, 0, 0, 0, 0, 0, 0, 0], 956, [1, 0, 0, 0]),\n",
       " ([512, 256, 64, 8, 0, 8, 16, 4, 0, 0, 0, 2, 0, 0, 0, 2], 1275, [0, 1, 0, 0]),\n",
       " ([512, 256, 64, 8, 0, 8, 16, 4, 0, 0, 2, 4, 0, 0, 0, 0], 318, [1, 0, 0, 0]),\n",
       " ([512, 256, 64, 8, 0, 8, 16, 8, 0, 2, 2, 0, 0, 0, 0, 0], 637, [1, 0, 0, 0]),\n",
       " ([512, 256, 64, 16, 2, 8, 16, 0, 0, 2, 2, 0, 0, 0, 0, 0], 1275, [1, 0, 0, 0]),\n",
       " ([512, 256, 64, 16, 4, 8, 16, 0, 0, 2, 2, 0, 0, 0, 0, 0], 318, [1, 0, 0, 0]),\n",
       " ([512, 256, 64, 16, 4, 8, 16, 2, 4, 0, 0, 0, 0, 0, 0, 0], 318, [0, 0, 0, 1]),\n",
       " ([512, 256, 64, 16, 8, 8, 16, 4, 0, 0, 0, 0, 0, 0, 0, 0], 1913, [1, 0, 0, 0]),\n",
       " ([512, 256, 64, 16, 0, 16, 16, 4, 0, 0, 0, 0, 0, 0, 0, 2],\n",
       "  2550,\n",
       "  [0, 1, 0, 0]),\n",
       " ([512, 256, 64, 16, 0, 2, 32, 4, 0, 0, 0, 4, 0, 0, 0, 0], 5739, [0, 1, 0, 0]),\n",
       " ([512, 256, 64, 16, 2, 2, 32, 8, 0, 0, 0, 0, 0, 0, 0, 0], 1275, [1, 0, 0, 0]),\n",
       " ([512, 256, 64, 16, 0, 4, 32, 8, 0, 0, 0, 0, 0, 0, 0, 2], 637, [0, 1, 0, 0]),\n",
       " ([512, 256, 64, 16, 4, 32, 8, 0, 4, 0, 0, 0, 2, 0, 0, 0], 318, [0, 0, 0, 1]),\n",
       " ([512, 256, 64, 16, 0, 4, 32, 8, 0, 0, 2, 8, 0, 0, 0, 2], 318, [0, 1, 0, 0]),\n",
       " ([512, 256, 64, 16, 2, 4, 32, 16, 0, 0, 2, 2, 0, 0, 0, 0], 637, [1, 0, 0, 0]),\n",
       " ([512, 256, 64, 32, 2, 8, 32, 0, 4, 0, 2, 0, 2, 0, 0, 0], 1594, [1, 0, 0, 0]),\n",
       " ([512, 256, 64, 32, 4, 16, 32, 4, 0, 0, 4, 4, 0, 0, 0, 0], 956, [1, 0, 0, 0]),\n",
       " ([512, 256, 64, 32, 4, 16, 32, 4, 0, 0, 0, 8, 0, 0, 0, 2], 318, [0, 1, 0, 0]),\n",
       " ([512, 256, 64, 32, 8, 16, 32, 4, 8, 8, 4, 0, 0, 0, 0, 0], 239, [1, 0, 0, 0]),\n",
       " ([512, 256, 64, 32, 8, 16, 32, 4, 0, 16, 4, 2, 0, 0, 0, 0],\n",
       "  318,\n",
       "  [0, 1, 0, 0]),\n",
       " ([512, 256, 64, 32, 8, 32, 32, 4, 2, 0, 4, 2, 0, 0, 0, 0], 637, [1, 0, 0, 0]),\n",
       " ([512, 256, 64, 32, 0, 8, 64, 4, 0, 2, 4, 2, 0, 0, 0, 2], 1275, [0, 1, 0, 0]),\n",
       " ([512, 256, 128, 32, 0, 8, 4, 4, 0, 2, 2, 4, 0, 0, 0, 0], 5297, [1, 0, 0, 0]),\n",
       " ([512, 256, 128, 32, 0, 8, 4, 8, 0, 2, 2, 2, 0, 0, 0, 0], 321, [1, 0, 0, 0]),\n",
       " ([512, 256, 128, 32, 4, 8, 8, 8, 0, 0, 0, 4, 0, 0, 0, 0], 963, [1, 0, 0, 0]),\n",
       " ([512, 256, 128, 32, 4, 16, 8, 0, 4, 0, 0, 0, 2, 0, 0, 0],\n",
       "  1284,\n",
       "  [0, 0, 0, 1]),\n",
       " ([512, 256, 128, 32, 0, 4, 16, 8, 0, 0, 2, 8, 0, 0, 0, 2], 321, [0, 1, 0, 0]),\n",
       " ([512, 256, 128, 32, 2, 4, 16, 16, 0, 0, 2, 2, 0, 0, 0, 0],\n",
       "  642,\n",
       "  [1, 0, 0, 0]),\n",
       " ([512, 256, 128, 32, 0, 2, 4, 32, 0, 0, 2, 4, 0, 0, 0, 0],\n",
       "  2889,\n",
       "  [0, 1, 0, 0]),\n",
       " ([512, 256, 128, 32, 4, 4, 32, 0, 2, 4, 0, 0, 0, 0, 0, 0], 321, [0, 0, 0, 1]),\n",
       " ([512, 256, 128, 32, 4, 8, 32, 2, 2, 0, 0, 0, 0, 0, 0, 0], 642, [1, 0, 0, 0]),\n",
       " ([512, 256, 128, 32, 4, 8, 32, 4, 4, 0, 0, 0, 0, 0, 0, 0], 642, [1, 0, 0, 0]),\n",
       " ([512, 256, 128, 32, 8, 8, 32, 4, 0, 0, 0, 2, 0, 0, 0, 0], 642, [1, 0, 0, 0]),\n",
       " ([512, 256, 128, 32, 0, 16, 32, 4, 0, 0, 0, 2, 0, 0, 0, 2],\n",
       "  1284,\n",
       "  [0, 1, 0, 0]),\n",
       " ([512, 256, 128, 32, 0, 16, 32, 4, 0, 2, 0, 4, 0, 0, 0, 0],\n",
       "  321,\n",
       "  [1, 0, 0, 0]),\n",
       " ([512, 256, 128, 32, 2, 16, 32, 8, 0, 2, 0, 0, 0, 0, 0, 0],\n",
       "  642,\n",
       "  [1, 0, 0, 0]),\n",
       " ([512, 256, 128, 32, 8, 16, 32, 8, 2, 0, 2, 0, 0, 0, 0, 0],\n",
       "  321,\n",
       "  [1, 0, 0, 0]),\n",
       " ([512, 256, 128, 32, 16, 16, 32, 8, 2, 4, 0, 0, 0, 0, 0, 0],\n",
       "  802,\n",
       "  [1, 0, 0, 0]),\n",
       " ([512, 256, 128, 32, 0, 32, 32, 8, 0, 2, 4, 2, 0, 0, 0, 0],\n",
       "  1284,\n",
       "  [0, 1, 0, 0]),\n",
       " ([512, 256, 128, 32, 0, 0, 64, 8, 0, 2, 4, 2, 0, 0, 0, 2],\n",
       "  2568,\n",
       "  [0, 1, 0, 0]),\n",
       " ([512, 256, 128, 32, 0, 4, 64, 8, 0, 0, 0, 8, 0, 0, 0, 2], 963, [0, 1, 0, 0]),\n",
       " ([512, 256, 128, 32, 0, 4, 64, 16, 0, 0, 2, 2, 0, 0, 0, 0],\n",
       "  1284,\n",
       "  [1, 0, 0, 0]),\n",
       " ([512, 256, 128, 32, 2, 8, 64, 16, 4, 0, 2, 0, 0, 0, 0, 0],\n",
       "  321,\n",
       "  [1, 0, 0, 0]),\n",
       " ([512, 256, 128, 32, 2, 8, 64, 16, 0, 0, 0, 8, 0, 0, 0, 2],\n",
       "  321,\n",
       "  [0, 1, 0, 0]),\n",
       " ([512, 256, 128, 32, 4, 16, 64, 16, 4, 0, 2, 0, 0, 0, 0, 0],\n",
       "  802,\n",
       "  [1, 0, 0, 0]),\n",
       " ([512, 256, 128, 32, 8, 16, 64, 16, 0, 0, 4, 0, 0, 0, 0, 0],\n",
       "  963,\n",
       "  [1, 0, 0, 0]),\n",
       " ([512, 256, 128, 32, 8, 16, 64, 16, 8, 0, 0, 0, 4, 0, 0, 0],\n",
       "  481,\n",
       "  [0, 0, 0, 1]),\n",
       " ([512, 256, 128, 32, 16, 16, 64, 16, 4, 0, 2, 0, 0, 0, 0, 0],\n",
       "  642,\n",
       "  [1, 0, 0, 0]),\n",
       " ([512, 256, 128, 32, 0, 32, 64, 16, 4, 2, 4, 2, 0, 0, 0, 2],\n",
       "  321,\n",
       "  [0, 1, 0, 0]),\n",
       " ([512, 256, 128, 32, 4, 32, 64, 16, 0, 0, 2, 8, 0, 0, 0, 4],\n",
       "  240,\n",
       "  [0, 1, 0, 0]),\n",
       " ([512, 256, 128, 2, 16, 64, 64, 32, 2, 2, 4, 0, 8, 0, 0, 0],\n",
       "  682,\n",
       "  [1, 0, 0, 0]),\n",
       " ([512, 256, 128, 2, 0, 16, 128, 32, 0, 0, 4, 4, 0, 0, 8, 2],\n",
       "  2649,\n",
       "  [0, 1, 0, 0]),\n",
       " ([512, 256, 256, 2, 0, 16, 4, 32, 0, 2, 8, 4, 0, 0, 0, 2],\n",
       "  5207,\n",
       "  [1, 0, 0, 0]),\n",
       " ([512, 512, 2, 0, 16, 4, 32, 0, 2, 8, 4, 0, 4, 0, 0, 0], 22699, [0, 0, 0, 1]),\n",
       " ([1024, 4, 0, 0, 16, 4, 32, 0, 2, 8, 4, 0, 4, 2, 0, 0], 72412, [0, 0, 0, 1]),\n",
       " ([1024, 8, 32, 2, 16, 8, 4, 0, 2, 2, 0, 0, 4, 0, 0, 0], 565, [1, 0, 0, 0]),\n",
       " ([1024, 8, 32, 2, 16, 8, 4, 0, 4, 0, 0, 0, 4, 2, 0, 0], 282, [0, 0, 0, 1]),\n",
       " ([1024, 16, 32, 4, 16, 4, 4, 0, 8, 0, 0, 0, 0, 0, 0, 0], 9060, [1, 0, 0, 0]),\n",
       " ([1024, 16, 32, 4, 0, 0, 16, 8, 0, 0, 8, 2, 0, 0, 0, 0], 2265, [0, 1, 0, 0]),\n",
       " ([1024, 32, 32, 4, 2, 2, 8, 2, 8, 0, 0, 0, 2, 0, 0, 0], 2273, [1, 0, 0, 0]),\n",
       " ([1024, 32, 32, 4, 2, 2, 8, 4, 8, 0, 0, 0, 2, 0, 0, 0], 284, [1, 0, 0, 0]),\n",
       " ([1024, 32, 32, 8, 2, 2, 8, 2, 8, 0, 0, 0, 2, 0, 0, 0], 568, [1, 0, 0, 0]),\n",
       " ([1024, 32, 32, 8, 2, 2, 8, 4, 8, 0, 0, 0, 2, 0, 0, 0], 284, [1, 0, 0, 0]),\n",
       " ([1024, 32, 32, 8, 2, 4, 8, 4, 8, 0, 0, 0, 2, 0, 0, 0], 284, [1, 0, 0, 0]),\n",
       " ([1024, 64, 8, 0, 2, 4, 8, 4, 8, 0, 0, 0, 4, 0, 0, 0], 9724, [0, 0, 0, 1]),\n",
       " ([1024, 64, 16, 4, 2, 4, 2, 0, 8, 0, 0, 0, 4, 0, 0, 0], 2289, [1, 0, 0, 0]),\n",
       " ([1024, 64, 16, 4, 0, 2, 4, 4, 0, 0, 8, 2, 0, 0, 0, 4], 286, [0, 1, 0, 0]),\n",
       " ([1024, 64, 16, 8, 0, 4, 4, 2, 0, 0, 8, 4, 0, 0, 0, 0], 1716, [1, 0, 0, 0]),\n",
       " ([1024, 64, 16, 8, 0, 0, 8, 2, 0, 2, 8, 4, 0, 0, 0, 0], 1144, [0, 1, 0, 0]),\n",
       " ([1024, 64, 16, 8, 0, 2, 16, 2, 0, 0, 2, 4, 0, 0, 0, 0], 2289, [1, 0, 0, 0]),\n",
       " ([1024, 64, 32, 8, 2, 2, 2, 2, 0, 0, 0, 4, 0, 0, 0, 0], 4582, [1, 0, 0, 0]),\n",
       " ([1024, 64, 32, 8, 2, 4, 2, 2, 0, 0, 0, 4, 0, 0, 0, 0], 572, [1, 0, 0, 0]),\n",
       " ([1024, 64, 32, 8, 2, 4, 4, 2, 0, 2, 0, 4, 0, 0, 0, 0], 286, [1, 0, 0, 0]),\n",
       " ([1024, 64, 32, 8, 4, 4, 4, 2, 0, 2, 0, 4, 0, 0, 0, 0], 286, [1, 0, 0, 0]),\n",
       " ([1024, 64, 32, 8, 0, 4, 8, 2, 0, 0, 4, 4, 0, 0, 0, 0], 1718, [0, 1, 0, 0]),\n",
       " ([1024, 64, 32, 8, 4, 8, 2, 0, 2, 8, 0, 0, 0, 0, 0, 0], 1145, [0, 0, 0, 1]),\n",
       " ([1024, 64, 32, 8, 4, 16, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0], 2291, [1, 0, 0, 0]),\n",
       " ([1024, 64, 32, 8, 4, 16, 2, 2, 4, 2, 0, 0, 0, 0, 0, 0], 286, [1, 0, 0, 0]),\n",
       " ([1024, 64, 32, 8, 8, 16, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0], 572, [1, 0, 0, 0]),\n",
       " ([1024, 64, 32, 8, 8, 16, 2, 2, 4, 2, 0, 0, 0, 0, 0, 0], 286, [1, 0, 0, 0]),\n",
       " ([1024, 64, 32, 8, 0, 8, 16, 4, 0, 0, 4, 2, 0, 0, 0, 2], 286, [0, 1, 0, 0]),\n",
       " ([1024, 64, 32, 8, 0, 8, 16, 4, 0, 2, 4, 4, 0, 0, 0, 0], 286, [1, 0, 0, 0]),\n",
       " ([1024, 64, 32, 8, 0, 8, 16, 8, 0, 4, 4, 0, 0, 0, 0, 0], 1718, [1, 0, 0, 0]),\n",
       " ([1024, 64, 32, 8, 0, 8, 16, 8, 0, 0, 0, 8, 0, 0, 0, 2], 1145, [0, 1, 0, 0]),\n",
       " ([1024, 64, 32, 16, 0, 8, 16, 8, 0, 0, 2, 2, 0, 0, 0, 0], 2291, [1, 0, 0, 0]),\n",
       " ([1024, 64, 32, 16, 0, 8, 16, 8, 0, 0, 4, 2, 0, 0, 0, 0], 572, [1, 0, 0, 0]),\n",
       " ([1024, 64, 32, 16, 0, 16, 16, 8, 0, 0, 4, 4, 0, 0, 0, 4],\n",
       "  1718,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 64, 32, 16, 0, 0, 32, 8, 0, 0, 2, 8, 0, 0, 0, 4], 5728, [0, 1, 0, 0]),\n",
       " ([1024, 64, 64, 16, 0, 2, 2, 16, 0, 0, 0, 4, 0, 0, 0, 0],\n",
       "  22957,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 64, 64, 32, 2, 2, 2, 4, 0, 0, 0, 0, 0, 0, 0, 0], 9183, [1, 0, 0, 0]),\n",
       " ([1024, 128, 32, 0, 4, 2, 4, 0, 0, 0, 0, 0, 2, 0, 0, 0], 76777, [0, 0, 0, 1]),\n",
       " ([1024, 128, 32, 0, 4, 2, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0], 2326, [1, 0, 0, 0]),\n",
       " ([1024, 128, 32, 2, 8, 2, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], 4653, [1, 0, 0, 0]),\n",
       " ([1024, 128, 32, 2, 8, 2, 4, 0, 4, 0, 0, 0, 2, 0, 0, 0], 581, [0, 0, 0, 1]),\n",
       " ([1024, 128, 32, 2, 8, 4, 4, 0, 4, 0, 0, 0, 2, 0, 0, 0], 581, [1, 0, 0, 0]),\n",
       " ([1024, 128, 32, 2, 0, 0, 8, 8, 0, 0, 4, 2, 0, 0, 0, 2], 1163, [0, 1, 0, 0]),\n",
       " ([1024, 128, 32, 2, 2, 0, 8, 8, 0, 0, 4, 4, 0, 0, 0, 0], 581, [1, 0, 0, 0]),\n",
       " ([1024, 128, 32, 2, 0, 0, 2, 16, 0, 0, 0, 8, 0, 0, 0, 2], 6979, [0, 1, 0, 0]),\n",
       " ([1024, 128, 32, 2, 4, 2, 2, 16, 0, 0, 0, 8, 0, 0, 0, 2], 290, [1, 0, 0, 0]),\n",
       " ([1024, 128, 32, 2, 4, 4, 16, 0, 4, 8, 0, 0, 2, 0, 0, 0], 581, [0, 0, 0, 1]),\n",
       " ([1024, 128, 32, 2, 8, 16, 0, 0, 4, 8, 0, 0, 4, 0, 0, 0], 1744, [0, 0, 0, 1]),\n",
       " ([1024, 128, 32, 4, 4, 8, 16, 8, 2, 8, 0, 0, 2, 0, 0, 0], 290, [0, 0, 0, 1]),\n",
       " ([1024, 128, 32, 4, 4, 16, 16, 8, 4, 0, 2, 0, 0, 0, 0, 0],\n",
       "  1454,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 128, 32, 4, 0, 4, 32, 8, 0, 0, 4, 2, 0, 0, 0, 2], 2326, [0, 1, 0, 0]),\n",
       " ([1024, 128, 64, 4, 0, 4, 4, 8, 0, 0, 2, 4, 0, 0, 0, 0], 9906, [1, 0, 0, 0]),\n",
       " ([1024, 128, 64, 4, 8, 8, 0, 0, 4, 4, 0, 0, 2, 0, 0, 0], 1748, [0, 0, 0, 1]),\n",
       " ([1024, 128, 64, 4, 0, 0, 16, 4, 0, 0, 0, 8, 0, 0, 0, 2], 8158, [0, 1, 0, 0]),\n",
       " ([1024, 128, 64, 8, 2, 0, 16, 8, 0, 0, 0, 2, 0, 0, 0, 0], 2330, [1, 0, 0, 0]),\n",
       " ([1024, 128, 64, 8, 0, 2, 16, 8, 0, 0, 0, 4, 0, 0, 0, 2], 582, [0, 1, 0, 0]),\n",
       " ([1024, 128, 64, 8, 0, 2, 16, 8, 0, 0, 0, 4, 0, 0, 0, 4], 582, [0, 1, 0, 0]),\n",
       " ([1024, 128, 64, 8, 0, 4, 16, 8, 0, 0, 0, 4, 0, 0, 0, 4], 582, [0, 1, 0, 0]),\n",
       " ([1024, 128, 64, 16, 0, 4, 16, 8, 0, 0, 2, 0, 0, 0, 0, 0],\n",
       "  6993,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 128, 64, 16, 4, 16, 8, 0, 4, 2, 0, 0, 0, 0, 0, 0], 582, [0, 0, 0, 1]),\n",
       " ([1024, 128, 64, 16, 0, 4, 16, 8, 0, 0, 4, 4, 0, 0, 0, 0], 582, [0, 1, 0, 0]),\n",
       " ([1024, 128, 64, 16, 0, 4, 16, 8, 0, 0, 2, 8, 0, 0, 0, 0],\n",
       "  1165,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 128, 64, 16, 2, 4, 16, 16, 0, 0, 2, 0, 0, 0, 0, 0],\n",
       "  2331,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 128, 64, 16, 2, 4, 32, 0, 2, 0, 0, 0, 2, 0, 0, 0],\n",
       "  4662,\n",
       "  [0, 0, 0, 1]),\n",
       " ([1024, 128, 64, 16, 4, 4, 32, 2, 2, 0, 0, 0, 0, 0, 0, 0], 582, [1, 0, 0, 0]),\n",
       " ([1024, 128, 64, 16, 0, 8, 32, 2, 0, 0, 0, 2, 0, 0, 0, 2],\n",
       "  1165,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 128, 64, 16, 0, 8, 32, 4, 0, 2, 0, 2, 0, 0, 0, 0], 582, [1, 0, 0, 0]),\n",
       " ([1024, 128, 64, 16, 2, 8, 32, 4, 0, 4, 0, 2, 0, 0, 0, 0], 291, [1, 0, 0, 0]),\n",
       " ([1024, 128, 64, 16, 2, 8, 32, 4, 8, 2, 0, 0, 2, 0, 0, 0], 291, [0, 0, 0, 1]),\n",
       " ([1024, 128, 64, 16, 4, 8, 32, 4, 0, 0, 8, 4, 0, 0, 4, 0], 291, [1, 0, 0, 0]),\n",
       " ([1024, 128, 64, 16, 4, 16, 32, 4, 8, 0, 0, 4, 2, 0, 0, 0],\n",
       "  728,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 128, 64, 16, 4, 16, 32, 4, 0, 16, 4, 2, 0, 0, 0, 4],\n",
       "  364,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 128, 64, 16, 4, 32, 32, 4, 0, 2, 4, 2, 0, 0, 0, 4],\n",
       "  582,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 128, 64, 16, 0, 4, 64, 4, 0, 4, 4, 2, 0, 0, 0, 4],\n",
       "  2476,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 128, 128, 16, 2, 8, 4, 4, 0, 0, 0, 2, 0, 0, 0, 4],\n",
       "  9944,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 256, 16, 0, 2, 8, 8, 0, 2, 0, 0, 0, 2, 4, 0, 0], 39513, [0, 0, 0, 1]),\n",
       " ([1024, 256, 16, 0, 4, 8, 8, 0, 2, 2, 0, 0, 0, 4, 0, 0], 598, [1, 0, 0, 0]),\n",
       " ([1024, 256, 16, 0, 4, 16, 0, 0, 4, 2, 0, 0, 4, 0, 0, 0], 5986, [0, 0, 0, 1]),\n",
       " ([1024, 256, 16, 2, 8, 16, 0, 0, 4, 2, 0, 0, 0, 0, 0, 0], 2394, [1, 0, 0, 0]),\n",
       " ([1024, 256, 32, 4, 0, 8, 4, 2, 0, 2, 0, 0, 0, 0, 0, 0], 10786, [1, 0, 0, 0]),\n",
       " ([1024, 256, 32, 4, 0, 8, 4, 4, 0, 2, 0, 0, 0, 0, 0, 0], 1198, [1, 0, 0, 0]),\n",
       " ([1024, 256, 32, 4, 2, 8, 8, 0, 2, 0, 0, 0, 0, 0, 0, 0], 2396, [0, 0, 0, 1]),\n",
       " ([1024, 256, 32, 4, 4, 8, 8, 0, 0, 0, 2, 0, 0, 0, 0, 0], 1198, [1, 0, 0, 0]),\n",
       " ([1024, 256, 32, 4, 0, 4, 16, 2, 0, 0, 0, 2, 0, 0, 0, 2], 2396, [0, 1, 0, 0]),\n",
       " ([1024, 256, 32, 4, 0, 4, 16, 4, 0, 2, 0, 2, 0, 0, 0, 0], 599, [1, 0, 0, 0]),\n",
       " ([1024, 256, 32, 8, 0, 4, 16, 2, 0, 2, 2, 0, 0, 0, 0, 0], 1198, [1, 0, 0, 0]),\n",
       " ([1024, 256, 32, 8, 0, 4, 16, 2, 0, 2, 4, 0, 0, 0, 0, 0], 599, [1, 0, 0, 0]),\n",
       " ([1024, 256, 32, 8, 4, 8, 16, 4, 4, 0, 0, 0, 0, 0, 0, 0], 2396, [1, 0, 0, 0]),\n",
       " ([1024, 256, 32, 8, 8, 8, 16, 4, 0, 2, 0, 0, 0, 0, 0, 0], 1198, [1, 0, 0, 0]),\n",
       " ([1024, 256, 32, 8, 0, 16, 16, 4, 0, 0, 0, 2, 0, 0, 0, 2],\n",
       "  2396,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 256, 32, 8, 0, 0, 32, 4, 0, 0, 0, 4, 0, 0, 0, 2],\n",
       "  10786,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 256, 64, 8, 0, 0, 2, 8, 0, 0, 0, 2, 0, 0, 0, 0], 43224, [1, 0, 0, 0]),\n",
       " ([1024, 256, 64, 16, 0, 0, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0],\n",
       "  24013,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 256, 64, 16, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2], 2401, [0, 1, 0, 0]),\n",
       " ([1024, 256, 64, 16, 0, 0, 4, 4, 0, 0, 4, 2, 0, 0, 0, 0], 1200, [1, 0, 0, 0]),\n",
       " ([1024, 256, 64, 16, 2, 0, 8, 4, 0, 0, 0, 2, 0, 0, 0, 0], 2401, [1, 0, 0, 0]),\n",
       " ([1024, 256, 64, 16, 4, 0, 8, 4, 0, 0, 0, 2, 0, 0, 0, 0], 1200, [1, 0, 0, 0]),\n",
       " ([1024, 256, 64, 16, 0, 4, 8, 4, 0, 0, 0, 4, 0, 0, 0, 0], 1200, [0, 1, 0, 0]),\n",
       " ([1024, 256, 64, 16, 2, 4, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0], 2401, [1, 0, 0, 0]),\n",
       " ([1024, 256, 64, 16, 2, 4, 16, 0, 0, 0, 0, 0, 2, 0, 0, 0],\n",
       "  4802,\n",
       "  [0, 0, 0, 1]),\n",
       " ([1024, 256, 64, 16, 2, 4, 16, 0, 2, 0, 0, 0, 4, 0, 0, 0], 600, [0, 0, 0, 1]),\n",
       " ([1024, 256, 64, 16, 4, 4, 16, 2, 4, 0, 0, 0, 0, 0, 0, 0], 600, [1, 0, 0, 0]),\n",
       " ([1024, 256, 64, 16, 0, 8, 16, 2, 0, 0, 4, 2, 0, 0, 0, 0],\n",
       "  1200,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 256, 64, 16, 0, 8, 16, 4, 0, 0, 4, 2, 0, 0, 0, 2], 300, [0, 1, 0, 0]),\n",
       " ([1024, 256, 64, 16, 0, 8, 16, 4, 0, 2, 4, 4, 0, 0, 0, 0], 300, [1, 0, 0, 0]),\n",
       " ([1024, 256, 64, 16, 0, 8, 16, 8, 0, 2, 4, 0, 0, 0, 2, 0], 600, [1, 0, 0, 0]),\n",
       " ([1024, 256, 64, 16, 8, 8, 16, 8, 0, 4, 0, 2, 0, 2, 0, 0], 300, [1, 0, 0, 0]),\n",
       " ([1024, 256, 64, 16, 0, 16, 16, 8, 0, 0, 4, 2, 0, 0, 0, 4],\n",
       "  1500,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 256, 64, 16, 0, 0, 32, 8, 0, 2, 4, 2, 0, 0, 0, 4],\n",
       "  2401,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 256, 64, 16, 2, 8, 32, 8, 0, 4, 8, 2, 0, 0, 0, 4], 225, [0, 1, 0, 0]),\n",
       " ([1024, 256, 64, 16, 2, 16, 32, 8, 0, 0, 8, 4, 0, 0, 0, 4],\n",
       "  600,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 256, 64, 16, 16, 16, 32, 8, 0, 8, 4, 2, 0, 0, 2, 0],\n",
       "  300,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 256, 64, 16, 0, 32, 32, 8, 0, 8, 4, 2, 0, 0, 0, 4],\n",
       "  1350,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 256, 64, 16, 0, 0, 64, 8, 0, 8, 4, 2, 0, 0, 2, 4],\n",
       "  2401,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 256, 128, 16, 2, 8, 4, 8, 0, 0, 2, 2, 0, 0, 0, 4],\n",
       "  4820,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 256, 128, 16, 2, 8, 4, 8, 0, 0, 4, 4, 0, 0, 0, 4], 301, [0, 1, 0, 0]),\n",
       " ([1024, 256, 128, 16, 2, 8, 8, 8, 0, 2, 0, 8, 0, 0, 0, 0],\n",
       "  1205,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 256, 128, 16, 4, 8, 8, 16, 0, 2, 0, 0, 0, 0, 0, 0],\n",
       "  3012,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 256, 128, 16, 4, 16, 16, 0, 4, 0, 0, 0, 0, 0, 0, 0],\n",
       "  6025,\n",
       "  [0, 0, 0, 1]),\n",
       " ([1024, 256, 128, 16, 8, 16, 16, 0, 0, 2, 0, 0, 0, 0, 0, 0],\n",
       "  2410,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 256, 128, 16, 0, 0, 8, 32, 0, 0, 0, 4, 0, 0, 0, 0],\n",
       "  21691,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 256, 128, 16, 2, 8, 32, 2, 8, 2, 0, 0, 2, 0, 0, 0],\n",
       "  301,\n",
       "  [0, 0, 0, 1]),\n",
       " ([1024, 256, 128, 16, 4, 16, 32, 8, 0, 0, 4, 2, 0, 0, 0, 0],\n",
       "  2108,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 256, 128, 16, 16, 16, 32, 8, 2, 4, 2, 2, 0, 0, 0, 0],\n",
       "  301,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 256, 128, 16, 0, 32, 32, 8, 0, 2, 4, 4, 0, 0, 0, 2],\n",
       "  1355,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 256, 128, 16, 0, 2, 64, 8, 0, 0, 2, 8, 0, 0, 0, 4],\n",
       "  5724,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 256, 128, 16, 0, 4, 64, 16, 0, 0, 2, 4, 0, 0, 0, 0],\n",
       "  3012,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 256, 128, 32, 2, 4, 64, 4, 0, 0, 2, 0, 0, 0, 0, 0],\n",
       "  4820,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 256, 128, 32, 4, 4, 64, 4, 2, 0, 2, 0, 0, 0, 0, 0],\n",
       "  301,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 256, 128, 32, 0, 8, 64, 4, 0, 0, 2, 4, 0, 0, 0, 0],\n",
       "  1807,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 256, 128, 32, 0, 8, 64, 4, 0, 0, 4, 4, 0, 0, 0, 0],\n",
       "  602,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 256, 128, 32, 0, 8, 64, 8, 0, 2, 4, 0, 0, 0, 0, 0],\n",
       "  1205,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 256, 128, 32, 0, 8, 64, 8, 0, 0, 2, 4, 0, 0, 0, 4],\n",
       "  301,\n",
       "  [0, 1, 0, 0]),\n",
       " ([1024, 256, 128, 32, 4, 8, 64, 8, 2, 8, 2, 0, 0, 0, 0, 0],\n",
       "  451,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 256, 128, 32, 4, 16, 64, 8, 2, 0, 2, 2, 0, 0, 0, 0],\n",
       "  602,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 256, 128, 32, 8, 16, 64, 8, 2, 2, 2, 0, 0, 0, 0, 0],\n",
       "  301,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 256, 128, 32, 8, 16, 64, 8, 8, 0, 0, 0, 4, 0, 0, 0],\n",
       "  903,\n",
       "  [0, 0, 0, 1]),\n",
       " ([1024, 256, 128, 32, 16, 16, 64, 8, 4, 0, 2, 0, 0, 0, 0, 0],\n",
       "  1205,\n",
       "  [1, 0, 0, 0]),\n",
       " ([1024, 256, 128, 32, 32, 64, 8, 0, 4, 2, 4, 2, 0, 0, 0, 0],\n",
       "  1205,\n",
       "  [0, 0, 0, 1]),\n",
       " ([256, 2, 128, 2, 4, 64, 64, 0, 1024, 32, 4, 0, 8, 2, 0, 0],\n",
       "  345,\n",
       "  [0, 0, 0, 1]),\n",
       " ([256, 2, 128, 2, 0, 0, 4, 128, 0, 1024, 32, 4, 0, 0, 8, 4],\n",
       "  1199,\n",
       "  [0, 1, 0, 0]),\n",
       " ([256, 2, 256, 2, 1024, 4, 8, 0, 4, 32, 2, 0, 8, 0, 0, 0],\n",
       "  2397,\n",
       "  [1, 0, 0, 0]),\n",
       " ([256, 8, 256, 2, 4, 32, 1024, 16, 0, 0, 0, 16, 0, 0, 0, 4],\n",
       "  377,\n",
       "  [0, 1, 0, 0]),\n",
       " ([256, 8, 256, 2, 16, 64, 1024, 16, 2, 0, 8, 8, 0, 0, 2, 0],\n",
       "  340,\n",
       "  [1, 0, 0, 0]),\n",
       " ([256, 8, 256, 2, 64, 128, 1024, 4, 32, 128, 0, 0, 4, 8, 4, 0],\n",
       "  311,\n",
       "  [0, 0, 0, 1]),\n",
       " ([256, 8, 256, 2, 64, 256, 1024, 4, 32, 8, 2, 0, 4, 0, 4, 0],\n",
       "  604,\n",
       "  [1, 0, 0, 0]),\n",
       " ([256, 8, 512, 2, 2, 64, 8, 1024, 0, 32, 2, 4, 0, 4, 0, 8],\n",
       "  1275,\n",
       "  [1, 0, 0, 0]),\n",
       " ([8, 2, 0, 0, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 448, [0, 0, 0, 1]),\n",
       " ([16, 8, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 633, [1, 0, 0, 0]),\n",
       " ([16, 16, 8, 4, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0], 631, [1, 0, 0, 0]),\n",
       " ([0, 32, 8, 4, 0, 0, 2, 4, 0, 0, 0, 0, 0, 0, 0, 0], 673, [0, 1, 0, 0]),\n",
       " ([32, 16, 8, 0, 4, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0], 802, [1, 0, 0, 0]),\n",
       " ([32, 16, 8, 2, 0, 0, 8, 8, 0, 0, 0, 4, 0, 0, 0, 0], 240, [0, 1, 0, 0]),\n",
       " ([32, 16, 16, 2, 2, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 0], 325, [1, 0, 0, 0]),\n",
       " ([32, 32, 2, 0, 2, 8, 0, 0, 2, 4, 0, 0, 0, 0, 0, 0], 705, [0, 0, 0, 1]),\n",
       " ([64, 4, 0, 0, 4, 8, 0, 0, 2, 4, 2, 0, 0, 0, 0, 0], 2430, [0, 0, 0, 1]),\n",
       " ([64, 8, 0, 0, 4, 8, 0, 0, 2, 4, 0, 0, 2, 0, 0, 0], 290, [0, 0, 0, 1]),\n",
       " ([64, 16, 2, 0, 4, 4, 0, 0, 4, 2, 0, 0, 0, 0, 0, 0], 749, [1, 0, 0, 0]),\n",
       " ([64, 16, 4, 0, 8, 4, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0], 900, [1, 0, 0, 0]),\n",
       " ([8, 64, 32, 4, 0, 4, 2, 4, 0, 0, 0, 0, 0, 0, 0, 0], 514, [1, 0, 0, 0]),\n",
       " ([32, 64, 32, 8, 4, 8, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0], 1209, [1, 0, 0, 0]),\n",
       " ([32, 64, 32, 8, 0, 0, 16, 4, 0, 0, 0, 4, 0, 0, 0, 2], 219, [0, 1, 0, 0]),\n",
       " ([32, 64, 32, 16, 0, 4, 16, 4, 0, 0, 0, 2, 0, 0, 0, 0], 219, [1, 0, 0, 0]),\n",
       " ([32, 64, 32, 16, 32, 8, 0, 0, 2, 4, 0, 0, 2, 0, 0, 0], 219, [0, 0, 0, 1]),\n",
       " ([64, 64, 32, 16, 4, 8, 0, 2, 0, 4, 0, 0, 0, 0, 0, 0], 1532, [1, 0, 0, 0]),\n",
       " ([128, 32, 16, 0, 4, 8, 2, 0, 2, 4, 0, 0, 0, 0, 0, 0], 4820, [0, 0, 0, 1]),\n",
       " ([128, 32, 16, 8, 8, 8, 2, 0, 4, 2, 0, 0, 0, 0, 0, 0], 225, [0, 0, 0, 1]),\n",
       " ([128, 32, 16, 8, 0, 0, 16, 2, 0, 0, 4, 2, 0, 0, 0, 2], 301, [0, 1, 0, 0]),\n",
       " ([128, 32, 32, 8, 2, 0, 4, 4, 0, 0, 0, 2, 0, 0, 0, 0], 1365, [1, 0, 0, 0]),\n",
       " ([128, 64, 8, 0, 2, 8, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0], 5719, [0, 0, 0, 1]),\n",
       " ([128, 64, 8, 2, 4, 8, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0], 317, [1, 0, 0, 0]),\n",
       " ([128, 64, 16, 4, 0, 4, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0], 1594, [1, 0, 0, 0]),\n",
       " ([128, 64, 16, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2], 318, [0, 1, 0, 0]),\n",
       " ([128, 64, 16, 8, 2, 0, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0], 637, [1, 0, 0, 0]),\n",
       " ([128, 64, 16, 8, 4, 2, 4, 8, 0, 0, 0, 0, 0, 0, 0, 0], 478, [1, 0, 0, 0]),\n",
       " ([128, 64, 16, 16, 4, 2, 4, 0, 0, 0, 2, 0, 0, 0, 0, 0], 637, [1, 0, 0, 0]),\n",
       " ([128, 64, 32, 0, 4, 2, 4, 0, 4, 2, 0, 0, 0, 0, 0, 0], 1444, [0, 0, 0, 1]),\n",
       " ([128, 64, 32, 2, 8, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], 963, [1, 0, 0, 0]),\n",
       " ([128, 64, 32, 2, 8, 8, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0], 642, [0, 0, 0, 1]),\n",
       " ([128, 64, 32, 2, 0, 0, 16, 2, 0, 0, 0, 2, 0, 0, 0, 2], 642, [0, 1, 0, 0]),\n",
       " ([128, 64, 32, 4, 0, 2, 16, 4, 0, 0, 0, 0, 0, 0, 0, 0], 642, [1, 0, 0, 0]),\n",
       " ([128, 64, 32, 8, 0, 2, 16, 2, 0, 0, 2, 0, 0, 0, 0, 0], 321, [1, 0, 0, 0]),\n",
       " ([128, 64, 32, 16, 4, 4, 16, 2, 0, 0, 0, 0, 0, 0, 0, 0], 802, [1, 0, 0, 0]),\n",
       " ([128, 64, 32, 16, 0, 8, 16, 2, 0, 0, 0, 0, 0, 0, 0, 2], 321, [0, 1, 0, 0]),\n",
       " ([128, 64, 32, 16, 0, 16, 16, 8, 0, 0, 2, 4, 0, 0, 0, 0], 401, [0, 1, 0, 0]),\n",
       " ([128, 64, 32, 16, 0, 0, 32, 8, 0, 0, 2, 4, 0, 0, 0, 2], 642, [0, 1, 0, 0]),\n",
       " ([128, 64, 64, 16, 2, 0, 2, 8, 0, 0, 0, 4, 0, 0, 0, 2], 1301, [1, 0, 0, 0]),\n",
       " ([128, 128, 16, 0, 4, 8, 0, 0, 2, 4, 0, 0, 2, 0, 0, 0], 5841, [0, 0, 0, 1]),\n",
       " ([128, 128, 16, 2, 8, 8, 2, 0, 0, 4, 0, 0, 0, 0, 0, 0], 354, [1, 0, 0, 0]),\n",
       " ([256, 16, 2, 0, 16, 2, 0, 0, 4, 0, 0, 0, 2, 0, 0, 0], 38897, [0, 0, 0, 1]),\n",
       " ([256, 16, 4, 0, 16, 2, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0], 1144, [0, 0, 0, 1]),\n",
       " ([256, 16, 4, 2, 16, 2, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], 1144, [1, 0, 0, 0]),\n",
       " ([256, 32, 4, 4, 2, 2, 2, 0, 8, 0, 0, 0, 0, 0, 0, 0], 2614, [1, 0, 0, 0]),\n",
       " ([256, 32, 8, 0, 4, 2, 4, 0, 8, 2, 0, 0, 0, 0, 0, 0], 872, [0, 0, 0, 1]),\n",
       " ([256, 32, 8, 2, 4, 4, 4, 0, 8, 0, 0, 0, 0, 0, 0, 0], 290, [1, 0, 0, 0]),\n",
       " ([256, 32, 8, 2, 0, 4, 8, 2, 0, 0, 0, 8, 0, 0, 0, 0], 581, [0, 1, 0, 0]),\n",
       " ([256, 32, 16, 4, 2, 4, 0, 8, 0, 0, 0, 2, 0, 0, 0, 0], 1456, [1, 0, 0, 0]),\n",
       " ([256, 32, 16, 4, 8, 8, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0], 291, [0, 0, 0, 1]),\n",
       " ([256, 32, 16, 4, 0, 0, 16, 2, 0, 0, 0, 2, 0, 0, 0, 4], 1456, [0, 1, 0, 0]),\n",
       " ([256, 32, 32, 4, 0, 0, 2, 4, 0, 0, 0, 4, 0, 0, 0, 0], 5264, [1, 0, 0, 0]),\n",
       " ([256, 32, 32, 8, 0, 2, 2, 4, 0, 0, 0, 0, 0, 0, 0, 0], 1169, [1, 0, 0, 0]),\n",
       " ([0, 256, 64, 8, 0, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0], 5084, [0, 1, 0, 0]),\n",
       " ([256, 64, 8, 0, 2, 8, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0], 2396, [0, 0, 0, 1]),\n",
       " ([256, 64, 8, 0, 4, 8, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0], 1198, [1, 0, 0, 0]),\n",
       " ([256, 64, 16, 4, 0, 4, 2, 4, 0, 0, 0, 0, 0, 0, 0, 0], 3602, [1, 0, 0, 0]),\n",
       " ([256, 64, 16, 4, 4, 2, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0], 300, [0, 0, 0, 1]),\n",
       " ([256, 64, 16, 4, 8, 2, 4, 0, 2, 0, 0, 0, 0, 0, 0, 0], 600, [1, 0, 0, 0]),\n",
       " ([256, 64, 16, 4, 8, 4, 4, 0, 2, 0, 0, 0, 0, 0, 0, 0], 300, [1, 0, 0, 0]),\n",
       " ([256, 64, 16, 4, 0, 0, 8, 8, 0, 0, 0, 2, 0, 0, 0, 2], 600, [0, 1, 0, 0]),\n",
       " ([256, 64, 16, 4, 2, 16, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0], 1200, [0, 0, 0, 1]),\n",
       " ([256, 64, 32, 4, 2, 2, 0, 4, 0, 0, 0, 2, 0, 0, 0, 0], 2711, [1, 0, 0, 0]),\n",
       " ([256, 64, 32, 8, 2, 4, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0], 1807, [1, 0, 0, 0]),\n",
       " ([256, 64, 32, 8, 0, 0, 8, 4, 0, 0, 0, 2, 0, 0, 0, 2], 903, [0, 1, 0, 0]),\n",
       " ([256, 64, 32, 8, 0, 0, 8, 4, 0, 0, 2, 4, 0, 0, 0, 0], 301, [1, 0, 0, 0]),\n",
       " ([256, 64, 32, 8, 0, 2, 8, 8, 0, 0, 2, 0, 0, 0, 0, 0], 602, [1, 0, 0, 0]),\n",
       " ([256, 64, 32, 16, 0, 2, 8, 2, 0, 0, 2, 0, 0, 0, 0, 0], 1205, [1, 0, 0, 0]),\n",
       " ([256, 64, 32, 16, 2, 4, 8, 8, 0, 0, 0, 2, 0, 0, 0, 0], 301, [1, 0, 0, 0]),\n",
       " ([256, 64, 32, 16, 0, 2, 4, 16, 0, 0, 0, 4, 0, 0, 0, 0], 1506, [0, 1, 0, 0]),\n",
       " ([256, 64, 32, 32, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0], 2410, [1, 0, 0, 0]),\n",
       " ([256, 64, 64, 0, 4, 8, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0], 23063, [0, 0, 0, 1]),\n",
       " ([256, 128, 2, 0, 4, 8, 0, 0, 4, 0, 0, 0, 2, 0, 0, 0], 20908, [0, 0, 0, 1]),\n",
       " ([256, 128, 4, 0, 8, 8, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0], 3803, [1, 0, 0, 0]),\n",
       " ([256, 128, 4, 0, 8, 8, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0], 1267, [1, 0, 0, 0]),\n",
       " ([256, 128, 4, 2, 0, 0, 16, 2, 0, 0, 4, 2, 0, 0, 0, 0], 1267, [0, 1, 0, 0]),\n",
       " ([256, 128, 4, 4, 2, 0, 16, 2, 0, 0, 4, 0, 0, 0, 0, 0], 316, [1, 0, 0, 0]),\n",
       " ([256, 128, 4, 4, 2, 0, 16, 4, 0, 0, 4, 0, 0, 0, 0, 0], 316, [1, 0, 0, 0]),\n",
       " ([256, 128, 4, 8, 2, 0, 16, 0, 0, 0, 4, 0, 0, 0, 2, 0], 633, [1, 0, 0, 0]),\n",
       " ([256, 128, 4, 8, 0, 0, 4, 16, 0, 0, 0, 4, 0, 0, 0, 4], 633, [0, 1, 0, 0]),\n",
       " ([256, 128, 8, 8, 0, 0, 2, 16, 0, 0, 0, 8, 0, 0, 0, 0], 2537, [1, 0, 0, 0]),\n",
       " ([256, 128, 16, 0, 4, 2, 16, 0, 8, 0, 0, 0, 2, 0, 0, 0], 1588, [0, 0, 0, 1]),\n",
       " ([256, 128, 32, 0, 4, 2, 2, 0, 8, 0, 0, 0, 2, 0, 0, 0], 2550, [1, 0, 0, 0]),\n",
       " ([256, 128, 32, 0, 4, 2, 4, 0, 8, 0, 0, 0, 2, 0, 0, 0], 318, [1, 0, 0, 0]),\n",
       " ...]"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dump"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Using Theano backend.\n"
     ]
    }
   ],
   "source": [
    "import os\n",
    "os.environ['KERAS_BACKEND'] = 'theano'\n",
    "\n",
    "from keras.models import Sequential\n",
    "from keras.layers import Dense, Activation\n",
    "from keras.utils import np_utils\n",
    "\n",
    "import numpy\n",
    "import pandas as pd\n",
    "import theano"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "model = Sequential()\n",
    "\n",
    "model.add(Dense(100, input_dim=16, activation='relu'))\n",
    "model.add(Dense(100, activation='relu'))\n",
    "# model.add(Dense(50, activation='relu'))\n",
    "model.add(Dense(10, activation='relu'))\n",
    "model.add(Dense(4, activation='softmax'))\n",
    "\n",
    "model.compile(loss='categorical_crossentropy', optimizer='adam', metrics=['accuracy'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "_________________________________________________________________\n",
      "Layer (type)                 Output Shape              Param #   \n",
      "=================================================================\n",
      "dense_1 (Dense)              (None, 100)               1700      \n",
      "_________________________________________________________________\n",
      "dense_2 (Dense)              (None, 100)               10100     \n",
      "_________________________________________________________________\n",
      "dense_3 (Dense)              (None, 10)                1010      \n",
      "_________________________________________________________________\n",
      "dense_4 (Dense)              (None, 4)                 44        \n",
      "=================================================================\n",
      "Total params: 12,854\n",
      "Trainable params: 12,854\n",
      "Non-trainable params: 0\n",
      "_________________________________________________________________\n"
     ]
    }
   ],
   "source": [
    "model.summary()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_vectors(dump):\n",
    "    d = np.array(dump)\n",
    "    l=d[:,0]\n",
    "    x=list(l)\n",
    "    x = np.array(x)\n",
    "    p = d[:,2]\n",
    "    y = list(p)\n",
    "    y = np.array(y)\n",
    "    return x, y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "x, y = get_vectors(dump)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch 1/200\n",
      "5678/5678 [==============================] - 0s 32us/step - loss: 3.1651 - acc: 0.4359\n",
      "Epoch 2/200\n",
      "5678/5678 [==============================] - 0s 31us/step - loss: 1.2780 - acc: 0.5315\n",
      "Epoch 3/200\n",
      "5678/5678 [==============================] - 0s 27us/step - loss: 1.2175 - acc: 0.5315\n",
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    },
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      "Epoch 171/200\n",
      "5678/5678 [==============================] - 0s 58us/step - loss: 1.0226 - acc: 0.5315\n",
      "Epoch 172/200\n",
      "5678/5678 [==============================] - 0s 69us/step - loss: 1.0227 - acc: 0.5315\n",
      "Epoch 173/200\n",
      "5678/5678 [==============================] - 0s 59us/step - loss: 1.0226 - acc: 0.5315\n",
      "Epoch 174/200\n",
      "5678/5678 [==============================] - 0s 69us/step - loss: 1.0226 - acc: 0.5315\n",
      "Epoch 175/200\n",
      "5678/5678 [==============================] - 0s 60us/step - loss: 1.0226 - acc: 0.5315\n",
      "Epoch 176/200\n",
      "5678/5678 [==============================] - 0s 64us/step - loss: 1.0226 - acc: 0.5315\n",
      "Epoch 177/200\n",
      "5678/5678 [==============================] - 0s 67us/step - loss: 1.0226 - acc: 0.5315\n",
      "Epoch 178/200\n",
      "5678/5678 [==============================] - 0s 65us/step - loss: 1.0226 - acc: 0.5315\n",
      "Epoch 179/200\n",
      "5678/5678 [==============================] - 0s 67us/step - loss: 1.0226 - acc: 0.5315\n",
      "Epoch 180/200\n",
      "5678/5678 [==============================] - 0s 66us/step - loss: 1.0226 - acc: 0.5315\n",
      "Epoch 181/200\n",
      "5678/5678 [==============================] - 0s 68us/step - loss: 1.0226 - acc: 0.5315\n",
      "Epoch 182/200\n",
      "5678/5678 [==============================] - 0s 69us/step - loss: 1.0226 - acc: 0.5315\n",
      "Epoch 183/200\n",
      "5678/5678 [==============================] - 0s 68us/step - loss: 1.0227 - acc: 0.5315\n",
      "Epoch 184/200\n",
      "5678/5678 [==============================] - 0s 69us/step - loss: 1.0226 - acc: 0.5315\n",
      "Epoch 185/200\n",
      "5678/5678 [==============================] - 0s 70us/step - loss: 1.0227 - acc: 0.5315\n",
      "Epoch 186/200\n",
      "5678/5678 [==============================] - 0s 68us/step - loss: 1.0226 - acc: 0.5315\n",
      "Epoch 187/200\n",
      "5678/5678 [==============================] - 0s 58us/step - loss: 1.0226 - acc: 0.5315\n",
      "Epoch 188/200\n",
      "5678/5678 [==============================] - 0s 59us/step - loss: 1.0226 - acc: 0.5315\n",
      "Epoch 189/200\n",
      "5678/5678 [==============================] - 0s 57us/step - loss: 1.0226 - acc: 0.5315\n",
      "Epoch 190/200\n",
      "5678/5678 [==============================] - 0s 74us/step - loss: 1.0226 - acc: 0.5315\n",
      "Epoch 191/200\n",
      "5678/5678 [==============================] - 0s 71us/step - loss: 1.0226 - acc: 0.5315\n",
      "Epoch 192/200\n",
      "5678/5678 [==============================] - 0s 71us/step - loss: 1.0226 - acc: 0.5315\n",
      "Epoch 193/200\n",
      "5678/5678 [==============================] - 0s 69us/step - loss: 1.0227 - acc: 0.5315\n",
      "Epoch 194/200\n",
      "5678/5678 [==============================] - 0s 70us/step - loss: 1.0226 - acc: 0.5315\n",
      "Epoch 195/200\n",
      "5678/5678 [==============================] - 0s 59us/step - loss: 1.0226 - acc: 0.5315\n",
      "Epoch 196/200\n",
      "5678/5678 [==============================] - 0s 65us/step - loss: 1.0226 - acc: 0.5315\n",
      "Epoch 197/200\n",
      "5678/5678 [==============================] - 0s 70us/step - loss: 1.0227 - acc: 0.5315\n",
      "Epoch 198/200\n",
      "5678/5678 [==============================] - 0s 63us/step - loss: 1.0226 - acc: 0.5315\n",
      "Epoch 199/200\n",
      "5678/5678 [==============================] - 0s 61us/step - loss: 1.0226 - acc: 0.5315\n",
      "Epoch 200/200\n",
      "5678/5678 [==============================] - 0s 64us/step - loss: 1.0226 - acc: 0.5315\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<keras.callbacks.History at 0x1c25b5d6a0>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.fit(x, y, epochs=200)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "# y_dash = model.predict(x.reshape(len(x),16))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "# import keras.utils"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "# y_dash"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "# np.argmax(y_dash, axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "env = gym.make('2048-v0')\n",
    "env.reset()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iteration :  0\n",
      "[[64  2 64 32]\n",
      " [16 64 32  8]\n",
      " [ 4 32  2  4]\n",
      " [ 2  4  8  2]]\n",
      "\n",
      "Iteration :  1\n",
      "[[32 64  2 32]\n",
      " [16  2 32  8]\n",
      " [ 4 16  2  4]\n",
      " [ 2  8  4  2]]\n",
      "\n",
      "Iteration :  2\n",
      "[[ 2 64 32 16]\n",
      " [ 8  4 16  8]\n",
      " [ 4  2  8  4]\n",
      " [ 2  8  4  2]]\n",
      "\n",
      "Iteration :  3\n",
      "[[ 8  2 16  8]\n",
      " [ 2 32  4  2]\n",
      " [ 8 16  8  4]\n",
      " [ 4  2  4  2]]\n",
      "\n",
      "Iteration :  4\n",
      "[[16  4 32 64]\n",
      " [ 8  2  4 16]\n",
      " [ 4  8  2  4]\n",
      " [ 2  4  8  2]]\n",
      "\n",
      "Iteration :  5\n",
      "[[ 2 32  2 32]\n",
      " [ 4  2  8 16]\n",
      " [ 2  8  2  8]\n",
      " [ 4  2  8  4]]\n",
      "\n",
      "Iteration :  6\n",
      "[[32 64 16  2]\n",
      " [ 4 16  2 16]\n",
      " [ 2  4 16  4]\n",
      " [ 4  2  8  2]]\n",
      "\n",
      "Iteration :  7\n",
      "[[  2 128  16   2]\n",
      " [  8  16  32   4]\n",
      " [  4   2  16   2]\n",
      " [  2   4   2   4]]\n",
      "\n",
      "Iteration :  8\n",
      "[[32  2 64 32]\n",
      " [ 8 64  4  2]\n",
      " [ 4 16  8  4]\n",
      " [ 2  8  4  2]]\n",
      "\n",
      "Iteration :  9\n",
      "[[16  2 64 32]\n",
      " [ 8 64  2  8]\n",
      " [ 4 32  8  2]\n",
      " [ 2  4  2  4]]\n"
     ]
    }
   ],
   "source": [
    "counter = 0\n",
    "\n",
    "explore_rate = 0.05\n",
    "\n",
    "for iteration in range(10):\n",
    "\n",
    "    env.reset()\n",
    "\n",
    "    action = env.action_space.sample()\n",
    "    observation, reward, done, _ = env.step(action + 1)\n",
    "\n",
    "\n",
    "    while True:\n",
    "#         env.render()\n",
    "\n",
    "        counter += 1\n",
    "\n",
    "        rand_action = env.action_space.sample()\n",
    "\n",
    "        max_action = np.argmax(model.predict(np.ravel(np.array(list(observation))).reshape(1,16)), axis=1)[0]\n",
    "\n",
    "        action = int(np.random.choice([rand_action, max_action], 1, p=[explore_rate, 1 - explore_rate]))\n",
    "\n",
    "#         print(\"\\nAction\",action)\n",
    "\n",
    "        observation, reward, done, _ = env.step(action + 1)\n",
    "\n",
    "        if done:\n",
    "            print(\"\\nIteration : \", iteration)\n",
    "            print(observation)\n",
    "            break"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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