AoC2024-02.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "file = 'advent2024_2.txt'\n",
    "with open(file, 'r') as f:\n",
    "    real_data = f.read().splitlines()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
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     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
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   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[48 49 52 54 56 59 61 64] [64 61 59 56 54 52 49 48] [64 61 59 56 54 52 49 48] \n",
      "\n",
      "[44 45 46 47 49 50 53 55] [55 53 50 49 47 46 45 44] [55 53 50 49 47 46 45 44] \n",
      "\n",
      "[42 45 46 48 51 53 55] [55 53 51 48 46 45 42] [55 53 51 48 46 45 42] \n",
      "\n",
      "[65 67 70 72 74 75] [75 74 72 70 67 65] [65 67 70 72 74 75] \n",
      "\n",
      "[88 91 92 93 95 97 98] [98 97 95 93 92 91 88] [88 91 92 93 95 97 98] \n",
      "\n",
      "[91 92 93 95 96 99] [99 96 95 93 92 91] [99 96 95 93 92 91] \n",
      "\n",
      "[ 1  3  6  9 11] [11  9  6  3  1] [ 1  3  6  9 11] \n",
      "\n",
      "[64 66 68 70 72 73] [73 72 70 68 66 64] [73 72 70 68 66 64] \n",
      "\n",
      "[40 42 45 46 49] [49 46 45 42 40] [40 42 45 46 49] \n",
      "\n",
      "[56 57 59 60 62 65 67] [67 65 62 60 59 57 56] [56 57 59 60 62 65 67] \n",
      "\n",
      "[49 51 54 57 59 60 62 64] [64 62 60 59 57 54 51 49] [64 62 60 59 57 54 51 49] \n",
      "\n",
      "[12 14 15 18 21 22 23] [23 22 21 18 15 14 12] [23 22 21 18 15 14 12] \n",
      "\n",
      "[ 8 10 12 14 17 20] [20 17 14 12 10  8] [ 8 10 12 14 17 20] \n",
      "\n",
      "[ 9 10 13 15 18 20 21] [21 20 18 15 13 10  9] [21 20 18 15 13 10  9] \n",
      "\n",
      "[26 28 29 32 33 36 39] [39 36 33 32 29 28 26] [26 28 29 32 33 36 39] \n",
      "\n",
      "[10 11 14 15 17 20 21] [21 20 17 15 14 11 10] [21 20 17 15 14 11 10] \n",
      "\n",
      "[24 25 27 29 30 32] [32 30 29 27 25 24] [32 30 29 27 25 24] \n",
      "\n",
      "[27 30 32 34 37 39] [39 37 34 32 30 27] [27 30 32 34 37 39] \n",
      "\n",
      "[29 31 33 35 37 39 42 45] [45 42 39 37 35 33 31 29] [29 31 33 35 37 39 42 45] \n",
      "\n",
      "[41 44 46 47 50 51 52 55] [55 52 51 50 47 46 44 41] [41 44 46 47 50 51 52 55] \n",
      "\n",
      "[13 15 16 18 19] [19 18 16 15 13] [19 18 16 15 13] \n",
      "\n",
      "[47 49 52 55 56] [56 55 52 49 47] [56 55 52 49 47] \n",
      "\n",
      "[62 64 65 68 70 71 72 73] [73 72 71 70 68 65 64 62] [62 64 65 68 70 71 72 73] \n",
      "\n",
      "[63 64 66 69 72] [72 69 66 64 63] [63 64 66 69 72] \n",
      "\n",
      "[35 36 38 39 41] [41 39 38 36 35] [41 39 38 36 35] \n",
      "\n",
      "[ 9 12 15 17 19 21] [21 19 17 15 12  9] [ 9 12 15 17 19 21] \n",
      "\n",
      "[18 21 24 26 27 28] [28 27 26 24 21 18] [18 21 24 26 27 28] \n",
      "\n",
      "[81 82 84 87 88 91 92 93] [93 92 91 88 87 84 82 81] [81 82 84 87 88 91 92 93] \n",
      "\n",
      "[31 34 36 37 40 41 42 45] [45 42 41 40 37 36 34 31] [31 34 36 37 40 41 42 45] \n",
      "\n",
      "[19 20 23 25 27 29 31] [31 29 27 25 23 20 19] [31 29 27 25 23 20 19] \n",
      "\n",
      "[67 70 72 74 75 76] [76 75 74 72 70 67] [67 70 72 74 75 76] \n",
      "\n",
      "[51 52 54 57 60 63 65] [65 63 60 57 54 52 51] [65 63 60 57 54 52 51] \n",
      "\n",
      "[27 29 30 33 34 35 38] [38 35 34 33 30 29 27] [38 35 34 33 30 29 27] \n",
      "\n",
      "[60 61 62 64 66 68 69] [69 68 66 64 62 61 60] [60 61 62 64 66 68 69] \n",
      "\n",
      "[67 69 71 74 75] [75 74 71 69 67] [75 74 71 69 67] \n",
      "\n",
      "[32 33 34 35 37] [37 35 34 33 32] [37 35 34 33 32] \n",
      "\n",
      "[37 38 40 42 45 48 50] [50 48 45 42 40 38 37] [37 38 40 42 45 48 50] \n",
      "\n",
      "[76 77 80 82 84] [84 82 80 77 76] [76 77 80 82 84] \n",
      "\n",
      "[58 61 63 64 65 67 69] [69 67 65 64 63 61 58] [58 61 63 64 65 67 69] \n",
      "\n",
      "[75 76 78 80 83] [83 80 78 76 75] [83 80 78 76 75] \n",
      "\n",
      "[ 2  3  6  7  8 11] [11  8  7  6  3  2] [11  8  7  6  3  2] \n",
      "\n",
      "[55 58 59 61 63 65 66 69] [69 66 65 63 61 59 58 55] [55 58 59 61 63 65 66 69] \n",
      "\n",
      "[77 79 80 81 83] [83 81 80 79 77] [77 79 80 81 83] \n",
      "\n",
      "[28 30 33 34 35 36 39] [39 36 35 34 33 30 28] [28 30 33 34 35 36 39] \n",
      "\n",
      "[71 72 74 76 78] [78 76 74 72 71] [78 76 74 72 71] \n",
      "\n",
      "[85 88 90 91 94] [94 91 90 88 85] [85 88 90 91 94] \n",
      "\n",
      "[33 36 38 40 41 44 46] [46 44 41 40 38 36 33] [46 44 41 40 38 36 33] \n",
      "\n",
      "[32 35 37 40 41 43 46 49] [49 46 43 41 40 37 35 32] [32 35 37 40 41 43 46 49] \n",
      "\n",
      "[37 38 41 42 43] [43 42 41 38 37] [37 38 41 42 43] \n",
      "\n",
      "[30 33 34 36 37 39 40 41] [41 40 39 37 36 34 33 30] [30 33 34 36 37 39 40 41] \n",
      "\n",
      "[22 23 26 29 32 35] [35 32 29 26 23 22] [35 32 29 26 23 22] \n",
      "\n",
      "[85 86 87 89 90 93 95] [95 93 90 89 87 86 85] [85 86 87 89 90 93 95] \n",
      "\n",
      "[82 83 84 86 88 90] [90 88 86 84 83 82] [82 83 84 86 88 90] \n",
      "\n",
      "[17 19 21 22 24 25] [25 24 22 21 19 17] [25 24 22 21 19 17] \n",
      "\n",
      "[63 66 67 68 71 74] [74 71 68 67 66 63] [74 71 68 67 66 63] \n",
      "\n",
      "[27 29 30 31 32 34 35 37] [37 35 34 32 31 30 29 27] [27 29 30 31 32 34 35 37] \n",
      "\n",
      "[16 19 21 23 26 28 31] [31 28 26 23 21 19 16] [16 19 21 23 26 28 31] \n",
      "\n",
      "[76 77 79 80 83] [83 80 79 77 76] [76 77 79 80 83] \n",
      "\n",
      "[78 80 82 84 86] [86 84 82 80 78] [86 84 82 80 78] \n",
      "\n",
      "[31 32 35 37 39 41 43 45] [45 43 41 39 37 35 32 31] [31 32 35 37 39 41 43 45] \n",
      "\n",
      "[77 79 81 84 87 90 92 95] [95 92 90 87 84 81 79 77] [95 92 90 87 84 81 79 77] \n",
      "\n",
      "[18 20 23 26 27 28 31 34] [34 31 28 27 26 23 20 18] [34 31 28 27 26 23 20 18] \n",
      "\n",
      "[1 3 5 8 9] [9 8 5 3 1] [9 8 5 3 1] \n",
      "\n",
      "[39 41 44 47 50 51 52 55] [55 52 51 50 47 44 41 39] [55 52 51 50 47 44 41 39] \n",
      "\n",
      "[10 12 15 18 19] [19 18 15 12 10] [10 12 15 18 19] \n",
      "\n",
      "[10 13 16 17 20 21] [21 20 17 16 13 10] [21 20 17 16 13 10] \n",
      "\n",
      "[50 53 56 58 61 63 66 69] [69 66 63 61 58 56 53 50] [50 53 56 58 61 63 66 69] \n",
      "\n",
      "[87 88 91 94 95 96] [96 95 94 91 88 87] [96 95 94 91 88 87] \n",
      "\n",
      "[64 65 67 69 71] [71 69 67 65 64] [71 69 67 65 64] \n",
      "\n",
      "[28 29 31 33 35] [35 33 31 29 28] [28 29 31 33 35] \n",
      "\n",
      "[13 15 18 19 22] [22 19 18 15 13] [13 15 18 19 22] \n",
      "\n",
      "[58 61 62 63 66 68 71] [71 68 66 63 62 61 58] [71 68 66 63 62 61 58] \n",
      "\n",
      "[42 44 45 47 50 51 54 57] [57 54 51 50 47 45 44 42] [57 54 51 50 47 45 44 42] \n",
      "\n",
      "[69 71 73 76 77 79 81 84] [84 81 79 77 76 73 71 69] [84 81 79 77 76 73 71 69] \n",
      "\n",
      "[40 43 44 46 48] [48 46 44 43 40] [40 43 44 46 48] \n",
      "\n",
      "[17 20 22 24 25 26] [26 25 24 22 20 17] [17 20 22 24 25 26] \n",
      "\n",
      "[31 33 36 38 41 44 47 49] [49 47 44 41 38 36 33 31] [31 33 36 38 41 44 47 49] \n",
      "\n",
      "[13 16 19 20 22 25 28 30] [30 28 25 22 20 19 16 13] [13 16 19 20 22 25 28 30] \n",
      "\n",
      "[63 65 67 68 69 71] [71 69 68 67 65 63] [71 69 68 67 65 63] \n",
      "\n",
      "[49 52 54 57 60 63 66] [66 63 60 57 54 52 49] [49 52 54 57 60 63 66] \n",
      "\n",
      "[55 56 57 59 61 63] [63 61 59 57 56 55] [63 61 59 57 56 55] \n",
      "\n",
      "[87 90 93 96 97 98] [98 97 96 93 90 87] [87 90 93 96 97 98] \n",
      "\n",
      "[75 77 78 80 82 85] [85 82 80 78 77 75] [75 77 78 80 82 85] \n",
      "\n",
      "[19 20 22 24 27] [27 24 22 20 19] [19 20 22 24 27] \n",
      "\n",
      "[42 43 46 47 49 52] [52 49 47 46 43 42] [42 43 46 47 49 52] \n",
      "\n",
      "[1 2 3 5 6 9] [9 6 5 3 2 1] [9 6 5 3 2 1] \n",
      "\n",
      "[62 63 64 65 68 71 74 77] [77 74 71 68 65 64 63 62] [77 74 71 68 65 64 63 62] \n",
      "\n",
      "[ 7 10 12 13 15] [15 13 12 10  7] [15 13 12 10  7] \n",
      "\n",
      "[ 9 11 12 14 15 18 20] [20 18 15 14 12 11  9] [20 18 15 14 12 11  9] \n",
      "\n",
      "[58 60 61 64 66 68] [68 66 64 61 60 58] [68 66 64 61 60 58] \n",
      "\n",
      "[ 3  5  8 11 12 14 16] [16 14 12 11  8  5  3] [ 3  5  8 11 12 14 16] \n",
      "\n",
      "[13 15 17 20 23 24 26] [26 24 23 20 17 15 13] [26 24 23 20 17 15 13] \n",
      "\n",
      "[49 51 53 54 57 58] [58 57 54 53 51 49] [49 51 53 54 57 58] \n",
      "\n",
      "[15 16 19 21 23 25 26 29] [29 26 25 23 21 19 16 15] [15 16 19 21 23 25 26 29] \n",
      "\n",
      "[44 47 48 51 52 54 55 56] [56 55 54 52 51 48 47 44] [44 47 48 51 52 54 55 56] \n",
      "\n",
      "[72 74 76 77 79 80 83] [83 80 79 77 76 74 72] [72 74 76 77 79 80 83] \n",
      "\n",
      "[ 3  4  7  8 10 12 13] [13 12 10  8  7  4  3] [13 12 10  8  7  4  3] \n",
      "\n",
      "[ 5  7  9 11 12] [12 11  9  7  5] [ 5  7  9 11 12] \n",
      "\n",
      "[47 50 52 54 57 60 62 65] [65 62 60 57 54 52 50 47] [65 62 60 57 54 52 50 47] \n",
      "\n",
      "[43 45 46 49 50 51 53 56] [56 53 51 50 49 46 45 43] [43 45 46 49 50 51 53 56] \n",
      "\n",
      "[88 90 92 94 96] [96 94 92 90 88] [88 90 92 94 96] \n",
      "\n",
      "[70 71 74 77 78 81 82] [82 81 78 77 74 71 70] [70 71 74 77 78 81 82] \n",
      "\n",
      "[ 2  3  6  9 10 11] [11 10  9  6  3  2] [11 10  9  6  3  2] \n",
      "\n",
      "[51 53 56 59 61 62 64 66] [66 64 62 61 59 56 53 51] [51 53 56 59 61 62 64 66] \n",
      "\n",
      "[24 25 27 30 33] [33 30 27 25 24] [24 25 27 30 33] \n",
      "\n",
      "[ 6  8 10 11 12 14 15 18] [18 15 14 12 11 10  8  6] [18 15 14 12 11 10  8  6] \n",
      "\n",
      "[31 34 35 36 39 42 43 46] [46 43 42 39 36 35 34 31] [31 34 35 36 39 42 43 46] \n",
      "\n",
      "[82 85 88 89 91 94 95] [95 94 91 89 88 85 82] [82 85 88 89 91 94 95] \n",
      "\n",
      "[67 69 72 73 74] [74 73 72 69 67] [67 69 72 73 74] \n",
      "\n",
      "[ 5  8 10 11 12 13] [13 12 11 10  8  5] [ 5  8 10 11 12 13] \n",
      "\n",
      "[33 34 36 37 40 43 45] [45 43 40 37 36 34 33] [45 43 40 37 36 34 33] \n",
      "\n",
      "[50 52 53 54 55] [55 54 53 52 50] [50 52 53 54 55] \n",
      "\n",
      "[ 5  7  8 11 12 13] [13 12 11  8  7  5] [13 12 11  8  7  5] \n",
      "\n",
      "[24 26 29 32 35 37] [37 35 32 29 26 24] [24 26 29 32 35 37] \n",
      "\n",
      "[28 31 34 37 40] [40 37 34 31 28] [40 37 34 31 28] \n",
      "\n",
      "[41 44 47 50 51] [51 50 47 44 41] [41 44 47 50 51] \n",
      "\n",
      "[49 52 55 58 60 62 63] [63 62 60 58 55 52 49] [49 52 55 58 60 62 63] \n",
      "\n",
      "[49 50 52 53 54 56 57] [57 56 54 53 52 50 49] [57 56 54 53 52 50 49] \n",
      "\n",
      "[ 2  3  4  7 10] [10  7  4  3  2] [10  7  4  3  2] \n",
      "\n",
      "[ 3  4  6  8  9 11 14] [14 11  9  8  6  4  3] [14 11  9  8  6  4  3] \n",
      "\n",
      "[34 36 37 39 42 44] [44 42 39 37 36 34] [44 42 39 37 36 34] \n",
      "\n",
      "[51 53 54 57 58 60 62] [62 60 58 57 54 53 51] [51 53 54 57 58 60 62] \n",
      "\n",
      "[41 43 44 46 48 50 52 53] [53 52 50 48 46 44 43 41] [53 52 50 48 46 44 43 41] \n",
      "\n",
      "[40 42 43 44 46] [46 44 43 42 40] [46 44 43 42 40] \n",
      "\n",
      "[55 57 59 62 63 65 68] [68 65 63 62 59 57 55] [68 65 63 62 59 57 55] \n",
      "\n",
      "[49 51 52 54 56 57] [57 56 54 52 51 49] [49 51 52 54 56 57] \n",
      "\n",
      "[41 44 45 47 48 50 52] [52 50 48 47 45 44 41] [52 50 48 47 45 44 41] \n",
      "\n",
      "[65 66 69 72 73] [73 72 69 66 65] [73 72 69 66 65] \n",
      "\n",
      "[79 82 84 87 89 91 94] [94 91 89 87 84 82 79] [79 82 84 87 89 91 94] \n",
      "\n",
      "[39 41 42 44 45 46 49 50] [50 49 46 45 44 42 41 39] [39 41 42 44 45 46 49 50] \n",
      "\n",
      "[76 77 79 82 85] [85 82 79 77 76] [85 82 79 77 76] \n",
      "\n",
      "[34 36 39 40 41 42 45 47] [47 45 42 41 40 39 36 34] [47 45 42 41 40 39 36 34] \n",
      "\n",
      "[27 28 29 30 32 33 35] [35 33 32 30 29 28 27] [35 33 32 30 29 28 27] \n",
      "\n",
      "[66 69 70 72 73 74 76 77] [77 76 74 73 72 70 69 66] [66 69 70 72 73 74 76 77] \n",
      "\n",
      "[21 23 25 26 29] [29 26 25 23 21] [29 26 25 23 21] \n",
      "\n",
      "[71 74 77 80 82 83 86 87] [87 86 83 82 80 77 74 71] [87 86 83 82 80 77 74 71] \n",
      "\n",
      "[51 54 57 60 61 63 66] [66 63 61 60 57 54 51] [51 54 57 60 61 63 66] \n",
      "\n",
      "[80 82 84 87 89 91 94 95] [95 94 91 89 87 84 82 80] [95 94 91 89 87 84 82 80] \n",
      "\n",
      "[48 51 54 56 59 61 64 66] [66 64 61 59 56 54 51 48] [66 64 61 59 56 54 51 48] \n",
      "\n",
      "[49 51 54 56 58] [58 56 54 51 49] [49 51 54 56 58] \n",
      "\n",
      "[34 36 37 38 39 41] [41 39 38 37 36 34] [34 36 37 38 39 41] \n",
      "\n",
      "[20 23 25 28 29 30 32 34] [34 32 30 29 28 25 23 20] [20 23 25 28 29 30 32 34] \n",
      "\n",
      "[22 25 26 27 29 32 34 36] [36 34 32 29 27 26 25 22] [36 34 32 29 27 26 25 22] \n",
      "\n",
      "[12 15 18 21 22 24 27] [27 24 22 21 18 15 12] [27 24 22 21 18 15 12] \n",
      "\n",
      "[54 55 56 58 60 62 63 65] [65 63 62 60 58 56 55 54] [54 55 56 58 60 62 63 65] \n",
      "\n",
      "[73 76 79 82 84 87 88] [88 87 84 82 79 76 73] [88 87 84 82 79 76 73] \n",
      "\n",
      "[49 51 54 57 59 60 62] [62 60 59 57 54 51 49] [49 51 54 57 59 60 62] \n",
      "\n",
      "[52 55 57 58 61 64 65] [65 64 61 58 57 55 52] [65 64 61 58 57 55 52] \n",
      "\n",
      "[18 19 20 22 24 27 30] [30 27 24 22 20 19 18] [18 19 20 22 24 27 30] \n",
      "\n",
      "[33 36 39 42 44] [44 42 39 36 33] [44 42 39 36 33] \n",
      "\n",
      "[80 81 83 85 88 89 90] [90 89 88 85 83 81 80] [80 81 83 85 88 89 90] \n",
      "\n",
      "[60 62 64 67 70 72] [72 70 67 64 62 60] [72 70 67 64 62 60] \n",
      "\n",
      "[45 47 50 52 54 57 59 62] [62 59 57 54 52 50 47 45] [45 47 50 52 54 57 59 62] \n",
      "\n",
      "[19 22 23 26 29 30 33 34] [34 33 30 29 26 23 22 19] [19 22 23 26 29 30 33 34] \n",
      "\n",
      "[69 71 72 75 76 77 80] [80 77 76 75 72 71 69] [69 71 72 75 76 77 80] \n",
      "\n",
      "[25 26 28 29 30 31 33 36] [36 33 31 30 29 28 26 25] [36 33 31 30 29 28 26 25] \n",
      "\n",
      "[ 7  9 11 13 16 19] [19 16 13 11  9  7] [19 16 13 11  9  7] \n",
      "\n",
      "[23 24 27 30 32 34] [34 32 30 27 24 23] [34 32 30 27 24 23] \n",
      "\n",
      "[11 14 17 18 20 23] [23 20 18 17 14 11] [23 20 18 17 14 11] \n",
      "\n",
      "[90 91 94 95 98] [98 95 94 91 90] [90 91 94 95 98] \n",
      "\n",
      "[14 17 20 21 23 24] [24 23 21 20 17 14] [24 23 21 20 17 14] \n",
      "\n",
      "[ 4  7  9 11 14 17] [17 14 11  9  7  4] [ 4  7  9 11 14 17] \n",
      "\n",
      "[ 9 10 12 13 15 18] [18 15 13 12 10  9] [ 9 10 12 13 15 18] \n",
      "\n",
      "[39 42 44 47 49 50 52] [52 50 49 47 44 42 39] [52 50 49 47 44 42 39] \n",
      "\n",
      "[20 23 24 26 27 28 29 31] [31 29 28 27 26 24 23 20] [20 23 24 26 27 28 29 31] \n",
      "\n",
      "[52 53 54 56 59 62 65 68] [68 65 62 59 56 54 53 52] [68 65 62 59 56 54 53 52] \n",
      "\n",
      "[59 61 64 67 70 73 76] [76 73 70 67 64 61 59] [76 73 70 67 64 61 59] \n",
      "\n",
      "[89 90 92 93 94 97 98 99] [99 98 97 94 93 92 90 89] [99 98 97 94 93 92 90 89] \n",
      "\n",
      "[24 25 26 29 32] [32 29 26 25 24] [32 29 26 25 24] \n",
      "\n",
      "[79 81 83 86 89 90 93 95] [95 93 90 89 86 83 81 79] [79 81 83 86 89 90 93 95] \n",
      "\n",
      "[38 41 43 45 46 48 50] [50 48 46 45 43 41 38] [50 48 46 45 43 41 38] \n",
      "\n",
      "[38 39 41 43 46 48] [48 46 43 41 39 38] [38 39 41 43 46 48] \n",
      "\n",
      "[ 4  6  8 10 13 14] [14 13 10  8  6  4] [ 4  6  8 10 13 14] \n",
      "\n",
      "[ 8 10 12 15 16 17 20] [20 17 16 15 12 10  8] [20 17 16 15 12 10  8] \n",
      "\n",
      "[24 27 30 31 32 35] [35 32 31 30 27 24] [35 32 31 30 27 24] \n",
      "\n",
      "[57 60 61 63 66 68 71] [71 68 66 63 61 60 57] [71 68 66 63 61 60 57] \n",
      "\n",
      "[69 72 74 77 79] [79 77 74 72 69] [69 72 74 77 79] \n",
      "\n",
      "[46 49 52 55 57 59 62] [62 59 57 55 52 49 46] [46 49 52 55 57 59 62] \n",
      "\n",
      "[18 19 21 22 24] [24 22 21 19 18] [24 22 21 19 18] \n",
      "\n",
      "[24 26 28 29 31] [31 29 28 26 24] [31 29 28 26 24] \n",
      "\n",
      "[58 60 61 64 66] [66 64 61 60 58] [58 60 61 64 66] \n",
      "\n",
      "[64 67 69 72 73 74 75 76] [76 75 74 73 72 69 67 64] [76 75 74 73 72 69 67 64] \n",
      "\n",
      "[36 39 41 42 43 46 47 50] [50 47 46 43 42 41 39 36] [36 39 41 42 43 46 47 50] \n",
      "\n",
      "[ 3  6  7  9 11 14] [14 11  9  7  6  3] [14 11  9  7  6  3] \n",
      "\n",
      "[ 2  3  4  5  8 10] [10  8  5  4  3  2] [ 2  3  4  5  8 10] \n",
      "\n",
      "[59 61 63 65 67 69 72 73] [73 72 69 67 65 63 61 59] [73 72 69 67 65 63 61 59] \n",
      "\n",
      "[19 21 22 25 27 29 31] [31 29 27 25 22 21 19] [31 29 27 25 22 21 19] \n",
      "\n",
      "[55 57 59 60 62 65 67] [67 65 62 60 59 57 55] [67 65 62 60 59 57 55] \n",
      "\n",
      "[32 35 37 38 39] [39 38 37 35 32] [32 35 37 38 39] \n",
      "\n",
      "[12 13 15 16 17 20 23 24] [24 23 20 17 16 15 13 12] [24 23 20 17 16 15 13 12] \n",
      "\n",
      "[60 61 62 65 66] [66 65 62 61 60] [60 61 62 65 66] \n",
      "\n",
      "[51 52 54 55 58] [58 55 54 52 51] [51 52 54 55 58] \n",
      "\n",
      "[62 64 66 68 70 72 75] [75 72 70 68 66 64 62] [75 72 70 68 66 64 62] \n",
      "\n",
      "[22 25 26 27 28 30 32 35] [35 32 30 28 27 26 25 22] [22 25 26 27 28 30 32 35] \n",
      "\n",
      "[84 86 88 91 94 95] [95 94 91 88 86 84] [95 94 91 88 86 84] \n",
      "\n",
      "[55 57 59 60 63 64] [64 63 60 59 57 55] [55 57 59 60 63 64] \n",
      "\n",
      "[62 63 66 68 69 70] [70 69 68 66 63 62] [70 69 68 66 63 62] \n",
      "\n",
      "[21 22 25 26 28 31 33] [33 31 28 26 25 22 21] [21 22 25 26 28 31 33] \n",
      "\n",
      "[11 14 17 19 22 23 26] [26 23 22 19 17 14 11] [11 14 17 19 22 23 26] \n",
      "\n",
      "[72 75 77 79 80 82 85] [85 82 80 79 77 75 72] [72 75 77 79 80 82 85] \n",
      "\n",
      "[23 24 26 29 32] [32 29 26 24 23] [32 29 26 24 23] \n",
      "\n",
      "[38 39 40 41 42 43 46 49] [49 46 43 42 41 40 39 38] [38 39 40 41 42 43 46 49] \n",
      "\n",
      "[13 14 16 17 20 21 24 26] [26 24 21 20 17 16 14 13] [26 24 21 20 17 16 14 13] \n",
      "\n",
      "[60 62 63 64 65] [65 64 63 62 60] [65 64 63 62 60] \n",
      "\n",
      "[62 63 64 67 68 69 72] [72 69 68 67 64 63 62] [72 69 68 67 64 63 62] \n",
      "\n",
      "[32 34 37 38 41] [41 38 37 34 32] [32 34 37 38 41] \n",
      "\n",
      "[ 3  4  6  7  8 11 12 15] [15 12 11  8  7  6  4  3] [15 12 11  8  7  6  4  3] \n",
      "\n",
      "[26 28 31 33 34 36 38 41] [41 38 36 34 33 31 28 26] [26 28 31 33 34 36 38 41] \n",
      "\n",
      "[75 76 79 81 84 85 86] [86 85 84 81 79 76 75] [75 76 79 81 84 85 86] \n",
      "\n",
      "[69 72 75 76 79 81 84] [84 81 79 76 75 72 69] [69 72 75 76 79 81 84] \n",
      "\n",
      "[51 53 54 56 59 61] [61 59 56 54 53 51] [51 53 54 56 59 61] \n",
      "\n",
      "[88 91 93 95 97 98] [98 97 95 93 91 88] [88 91 93 95 97 98] \n",
      "\n",
      "[49 51 53 56 57] [57 56 53 51 49] [57 56 53 51 49] \n",
      "\n",
      "[47 50 51 53 56 57 59 62] [62 59 57 56 53 51 50 47] [62 59 57 56 53 51 50 47] \n",
      "\n",
      "[84 87 89 90 91 94] [94 91 90 89 87 84] [84 87 89 90 91 94] \n",
      "\n",
      "[69 72 74 77 78 80 81] [81 80 78 77 74 72 69] [69 72 74 77 78 80 81] \n",
      "\n",
      "[15 17 19 22 23 25 26] [26 25 23 22 19 17 15] [15 17 19 22 23 25 26] \n",
      "\n",
      "[ 6  8 11 12 13 16] [16 13 12 11  8  6] [ 6  8 11 12 13 16] \n",
      "\n",
      "[34 35 37 39 40 42 44] [44 42 40 39 37 35 34] [44 42 40 39 37 35 34] \n",
      "\n",
      "[ 3  6  9 10 11 12] [12 11 10  9  6  3] [ 3  6  9 10 11 12] \n",
      "\n",
      "[ 9 10 11 14 17 18 19 20] [20 19 18 17 14 11 10  9] [20 19 18 17 14 11 10  9] \n",
      "\n",
      "[16 19 21 23 26] [26 23 21 19 16] [26 23 21 19 16] \n",
      "\n",
      "[90 91 93 94 97] [97 94 93 91 90] [90 91 93 94 97] \n",
      "\n",
      "[63 65 67 68 70 72 74] [74 72 70 68 67 65 63] [74 72 70 68 67 65 63] \n",
      "\n",
      "[52 54 57 60 61] [61 60 57 54 52] [61 60 57 54 52] \n",
      "\n",
      "[62 63 65 66 69] [69 66 65 63 62] [69 66 65 63 62] \n",
      "\n",
      "[18 20 23 26 27 29 30] [30 29 27 26 23 20 18] [30 29 27 26 23 20 18] \n",
      "\n",
      "[27 28 31 32 35] [35 32 31 28 27] [27 28 31 32 35] \n",
      "\n",
      "[51 52 53 56 59 62 65 68] [68 65 62 59 56 53 52 51] [51 52 53 56 59 62 65 68] \n",
      "\n",
      "[73 74 77 78 80 81 82 85] [85 82 81 80 78 77 74 73] [85 82 81 80 78 77 74 73] \n",
      "\n",
      "[28 29 30 32 33 34 37] [37 34 33 32 30 29 28] [37 34 33 32 30 29 28] \n",
      "\n",
      "[86 87 88 91 92 95 96] [96 95 92 91 88 87 86] [86 87 88 91 92 95 96] \n",
      "\n",
      "[64 66 68 69 71 72] [72 71 69 68 66 64] [72 71 69 68 66 64] \n",
      "\n",
      "[43 46 47 49 52 53 56 59] [59 56 53 52 49 47 46 43] [43 46 47 49 52 53 56 59] \n",
      "\n",
      "[73 75 76 78 81 83 84 87] [87 84 83 81 78 76 75 73] [87 84 83 81 78 76 75 73] \n",
      "\n",
      "[ 2  5  8 10 13 16 19 22] [22 19 16 13 10  8  5  2] [ 2  5  8 10 13 16 19 22] \n",
      "\n",
      "[58 61 64 67 69 71 74 75] [75 74 71 69 67 64 61 58] [75 74 71 69 67 64 61 58] \n",
      "\n",
      "[62 63 66 69 71] [71 69 66 63 62] [62 63 66 69 71] \n",
      "\n",
      "[13 16 18 21 23] [23 21 18 16 13] [23 21 18 16 13] \n",
      "\n",
      "[58 61 63 66 68 71 72 75] [75 72 71 68 66 63 61 58] [75 72 71 68 66 63 61 58] \n",
      "\n",
      "[45 48 50 52 55 58 61] [61 58 55 52 50 48 45] [61 58 55 52 50 48 45] \n",
      "\n",
      "[ 1  2  5  7 10 13] [13 10  7  5  2  1] [13 10  7  5  2  1] \n",
      "\n",
      "[81 82 83 84 86 89 92 94] [94 92 89 86 84 83 82 81] [81 82 83 84 86 89 92 94] \n",
      "\n",
      "[37 38 41 42 43 46] [46 43 42 41 38 37] [46 43 42 41 38 37] \n",
      "\n",
      "[ 9 11 14 15 16 18] [18 16 15 14 11  9] [18 16 15 14 11  9] \n",
      "\n",
      "[29 30 31 33 35] [35 33 31 30 29] [35 33 31 30 29] \n",
      "\n",
      "[ 7  9 10 11 13 15] [15 13 11 10  9  7] [ 7  9 10 11 13 15] \n",
      "\n",
      "[33 35 38 41 42 45 46 49] [49 46 45 42 41 38 35 33] [33 35 38 41 42 45 46 49] \n",
      "\n",
      "[85 87 88 90 92] [92 90 88 87 85] [85 87 88 90 92] \n",
      "\n",
      "[64 65 66 68 71] [71 68 66 65 64] [71 68 66 65 64] \n",
      "\n",
      "[21 23 25 28 29 32 33 35] [35 33 32 29 28 25 23 21] [21 23 25 28 29 32 33 35] \n",
      "\n",
      "[17 20 22 23 25 28] [28 25 23 22 20 17] [28 25 23 22 20 17] \n",
      "\n",
      "[ 4  5  6  8 11 12 15 16] [16 15 12 11  8  6  5  4] [16 15 12 11  8  6  5  4] \n",
      "\n",
      "[82 85 86 89 92 93 96 97] [97 96 93 92 89 86 85 82] [97 96 93 92 89 86 85 82] \n",
      "\n",
      "[15 18 20 21 22 23 26 28] [28 26 23 22 21 20 18 15] [28 26 23 22 21 20 18 15] \n",
      "\n",
      "[44 45 46 47 48] [48 47 46 45 44] [44 45 46 47 48] \n",
      "\n",
      "[37 38 39 40 42 43 45] [45 43 42 40 39 38 37] [45 43 42 40 39 38 37] \n",
      "\n",
      "[39 40 41 44 47 49] [49 47 44 41 40 39] [39 40 41 44 47 49] \n",
      "\n",
      "[52 54 56 57 58] [58 57 56 54 52] [58 57 56 54 52] \n",
      "\n",
      "[75 76 77 78 79 82 85] [85 82 79 78 77 76 75] [75 76 77 78 79 82 85] \n",
      "\n",
      "[57 60 62 65 68] [68 65 62 60 57] [57 60 62 65 68] \n",
      "\n",
      "[22 23 24 26 28 30 32 35] [35 32 30 28 26 24 23 22] [22 23 24 26 28 30 32 35] \n",
      "\n",
      "[51 52 53 55 57 58 60 63] [63 60 58 57 55 53 52 51] [51 52 53 55 57 58 60 63] \n",
      "\n",
      "[39 41 42 45 48 51 54 57] [57 54 51 48 45 42 41 39] [57 54 51 48 45 42 41 39] \n",
      "\n",
      "[73 74 75 78 81 82 83 84] [84 83 82 81 78 75 74 73] [84 83 82 81 78 75 74 73] \n",
      "\n",
      "[90 92 93 95 98 99] [99 98 95 93 92 90] [99 98 95 93 92 90] \n",
      "\n",
      "[27 29 31 33 36 39 42] [42 39 36 33 31 29 27] [42 39 36 33 31 29 27] \n",
      "\n",
      "[79 80 81 84 87 89 92 94] [94 92 89 87 84 81 80 79] [94 92 89 87 84 81 80 79] \n",
      "\n",
      "[23 26 28 30 31 32 33 34] [34 33 32 31 30 28 26 23] [23 26 28 30 31 32 33 34] \n",
      "\n",
      "[11 14 16 18 19 22 23 24] [24 23 22 19 18 16 14 11] [24 23 22 19 18 16 14 11] \n",
      "\n",
      "[51 53 56 58 61 62 64] [64 62 61 58 56 53 51] [64 62 61 58 56 53 51] \n",
      "\n",
      "[35 38 40 42 43] [43 42 40 38 35] [35 38 40 42 43] \n",
      "\n",
      "[43 46 47 48 50 53 55 58] [58 55 53 50 48 47 46 43] [43 46 47 48 50 53 55 58] \n",
      "\n",
      "[51 53 54 56 57 59] [59 57 56 54 53 51] [59 57 56 54 53 51] \n",
      "\n",
      "[40 42 43 45 48 50 53] [53 50 48 45 43 42 40] [40 42 43 45 48 50 53] \n",
      "\n",
      "[87 89 92 94 96 97] [97 96 94 92 89 87] [97 96 94 92 89 87] \n",
      "\n",
      "[63 66 69 72 74] [74 72 69 66 63] [74 72 69 66 63] \n",
      "\n",
      "[64 66 68 69 72 75 78 81] [81 78 75 72 69 68 66 64] [64 66 68 69 72 75 78 81] \n",
      "\n",
      "[41 44 45 46 48 50 53 55] [55 53 50 48 46 45 44 41] [41 44 45 46 48 50 53 55] \n",
      "\n",
      "[40 43 44 47 49 51 53 54] [54 53 51 49 47 44 43 40] [54 53 51 49 47 44 43 40] \n",
      "\n",
      "[11 12 14 17 18 20] [20 18 17 14 12 11] [20 18 17 14 12 11] \n",
      "\n",
      "[ 1  4  5  8  9 10] [10  9  8  5  4  1] [10  9  8  5  4  1] \n",
      "\n",
      "[66 67 70 71 73 74] [74 73 71 70 67 66] [74 73 71 70 67 66] \n",
      "\n",
      "[15 16 19 21 23 24 26] [26 24 23 21 19 16 15] [26 24 23 21 19 16 15] \n",
      "\n",
      "[86 87 90 92 94] [94 92 90 87 86] [86 87 90 92 94] \n",
      "\n",
      "[78 79 82 84 87] [87 84 82 79 78] [87 84 82 79 78] \n",
      "\n",
      "[1 2 4 6 8] [8 6 4 2 1] [8 6 4 2 1] \n",
      "\n",
      "[57 60 61 64 67] [67 64 61 60 57] [57 60 61 64 67] \n",
      "\n",
      "[19 22 24 26 28] [28 26 24 22 19] [19 22 24 26 28] \n",
      "\n",
      "[ 2  5  8 11 14 15 18] [18 15 14 11  8  5  2] [ 2  5  8 11 14 15 18] \n",
      "\n",
      "[66 68 71 74 77] [77 74 71 68 66] [77 74 71 68 66] \n",
      "\n",
      "[ 2  3  4  5  6  9 12 14] [14 12  9  6  5  4  3  2] [ 2  3  4  5  6  9 12 14] \n",
      "\n",
      "[79 81 84 86 88 90 92] [92 90 88 86 84 81 79] [92 90 88 86 84 81 79] \n",
      "\n",
      "[ 5  6  7  9 12] [12  9  7  6  5] [12  9  7  6  5] \n",
      "\n",
      "[ 9 12 13 14 16] [16 14 13 12  9] [ 9 12 13 14 16] \n",
      "\n",
      "[58 60 61 64 66 68 69 72] [72 69 68 66 64 61 60 58] [58 60 61 64 66 68 69 72] \n",
      "\n",
      "[84 86 87 89 90] [90 89 87 86 84] [84 86 87 89 90] \n",
      "\n",
      "[83 85 88 89 90 93 95] [95 93 90 89 88 85 83] [83 85 88 89 90 93 95] \n",
      "\n",
      "[77 80 81 84 86 89] [89 86 84 81 80 77] [89 86 84 81 80 77] \n",
      "\n",
      "[80 83 84 85 87] [87 85 84 83 80] [80 83 84 85 87] \n",
      "\n",
      "[56 57 60 62 65] [65 62 60 57 56] [65 62 60 57 56] \n",
      "\n",
      "[56 59 62 64 67 68 70] [70 68 67 64 62 59 56] [70 68 67 64 62 59 56] \n",
      "\n",
      "[37 40 42 44 47 49 51 54] [54 51 49 47 44 42 40 37] [54 51 49 47 44 42 40 37] \n",
      "\n",
      "[ 8 11 13 15 16] [16 15 13 11  8] [16 15 13 11  8] \n",
      "\n",
      "[56 58 60 62 65 66] [66 65 62 60 58 56] [66 65 62 60 58 56] \n",
      "\n",
      "[61 64 66 69 70 71] [71 70 69 66 64 61] [71 70 69 66 64 61] \n",
      "\n",
      "[55 57 59 60 62] [62 60 59 57 55] [55 57 59 60 62] \n",
      "\n",
      "[ 7  9 12 15 18] [18 15 12  9  7] [ 7  9 12 15 18] \n",
      "\n",
      "[34 36 38 41 44 47 50 52] [52 50 47 44 41 38 36 34] [52 50 47 44 41 38 36 34] \n",
      "\n",
      "[11 14 17 19 21] [21 19 17 14 11] [11 14 17 19 21] \n",
      "\n",
      "[14 15 17 19 21 22 25 27] [27 25 22 21 19 17 15 14] [27 25 22 21 19 17 15 14] \n",
      "\n",
      "[54 55 57 60 63 65 68] [68 65 63 60 57 55 54] [68 65 63 60 57 55 54] \n",
      "\n",
      "[50 51 53 56 57 58] [58 57 56 53 51 50] [58 57 56 53 51 50] \n",
      "\n",
      "[55 57 58 60 62] [62 60 58 57 55] [62 60 58 57 55] \n",
      "\n",
      "[52 53 56 57 58 59 60] [60 59 58 57 56 53 52] [52 53 56 57 58 59 60] \n",
      "\n",
      "[67 70 71 72 74 76 77 79] [79 77 76 74 72 71 70 67] [67 70 71 72 74 76 77 79] \n",
      "\n",
      "[65 67 69 72 73 76 79] [79 76 73 72 69 67 65] [79 76 73 72 69 67 65] \n",
      "\n",
      "[12 15 16 19 21 24 26] [26 24 21 19 16 15 12] [12 15 16 19 21 24 26] \n",
      "\n",
      "[61 63 64 66 69] [69 66 64 63 61] [69 66 64 63 61] \n",
      "\n",
      "[38 40 42 44 45 47 48 50] [50 48 47 45 44 42 40 38] [50 48 47 45 44 42 40 38] \n",
      "\n",
      "[11 12 15 17 19 21] [21 19 17 15 12 11] [21 19 17 15 12 11] \n",
      "\n",
      "[19 21 23 25 26 27 30 32] [32 30 27 26 25 23 21 19] [32 30 27 26 25 23 21 19] \n",
      "\n",
      "[27 29 30 32 35 37] [37 35 32 30 29 27] [37 35 32 30 29 27] \n",
      "\n",
      "[41 43 46 49 51 52 53 55] [55 53 52 51 49 46 43 41] [41 43 46 49 51 52 53 55] \n",
      "\n",
      "[20 23 25 27 30 32] [32 30 27 25 23 20] [20 23 25 27 30 32] \n",
      "\n",
      "[74 75 78 80 82 84 85 87] [87 85 84 82 80 78 75 74] [87 85 84 82 80 78 75 74] \n",
      "\n",
      "[26 28 30 31 34 37 39 42] [42 39 37 34 31 30 28 26] [26 28 30 31 34 37 39 42] \n",
      "\n",
      "[75 77 80 81 82] [82 81 80 77 75] [82 81 80 77 75] \n",
      "\n",
      "[20 21 24 25 27 30 33 35] [35 33 30 27 25 24 21 20] [35 33 30 27 25 24 21 20] \n",
      "\n",
      "[45 46 49 50 53] [53 50 49 46 45] [45 46 49 50 53] \n",
      "\n",
      "[47 48 49 52 55 57 59] [59 57 55 52 49 48 47] [59 57 55 52 49 48 47] \n",
      "\n",
      "[75 77 80 83 86 87 89 92] [92 89 87 86 83 80 77 75] [92 89 87 86 83 80 77 75] \n",
      "\n",
      "[83 85 86 88 91 94] [94 91 88 86 85 83] [94 91 88 86 85 83] \n",
      "\n",
      "[36 38 39 42 45 47 49 50] [50 49 47 45 42 39 38 36] [50 49 47 45 42 39 38 36] \n",
      "\n",
      "[52 54 55 57 60 62 65] [65 62 60 57 55 54 52] [65 62 60 57 55 54 52] \n",
      "\n",
      "[63 64 65 68 70 72 73 76] [76 73 72 70 68 65 64 63] [63 64 65 68 70 72 73 76] \n",
      "\n",
      "[13 14 17 20 22 24 27] [27 24 22 20 17 14 13] [27 24 22 20 17 14 13] \n",
      "\n",
      "[20 21 23 25 28] [28 25 23 21 20] [28 25 23 21 20] \n",
      "\n",
      "[28 31 34 35 38 41 44 46] [46 44 41 38 35 34 31 28] [28 31 34 35 38 41 44 46] \n",
      "\n",
      "[44 46 48 51 53 54 57 60] [60 57 54 53 51 48 46 44] [44 46 48 51 53 54 57 60] \n",
      "\n",
      "[13 15 18 19 21 24] [24 21 19 18 15 13] [24 21 19 18 15 13] \n",
      "\n",
      "[57 60 62 65 67] [67 65 62 60 57] [67 65 62 60 57] \n",
      "\n",
      "[ 2  4  7  8 10] [10  8  7  4  2] [10  8  7  4  2] \n",
      "\n",
      "[44 45 47 49 50] [50 49 47 45 44] [50 49 47 45 44] \n",
      "\n",
      "[62 64 67 70 71 72] [72 71 70 67 64 62] [62 64 67 70 71 72] \n",
      "\n",
      "[64 67 69 72 73 75 77] [77 75 73 72 69 67 64] [64 67 69 72 73 75 77] \n",
      "\n",
      "[23 26 27 28 29 32] [32 29 28 27 26 23] [23 26 27 28 29 32] \n",
      "\n",
      "[16 18 21 23 24 27 30] [30 27 24 23 21 18 16] [30 27 24 23 21 18 16] \n",
      "\n",
      "[87 90 91 92 93 94 96] [96 94 93 92 91 90 87] [87 90 91 92 93 94 96] \n",
      "\n",
      "[ 5  7 10 13 15] [15 13 10  7  5] [ 5  7 10 13 15] \n",
      "\n",
      "[26 27 28 30 32 35 38] [38 35 32 30 28 27 26] [38 35 32 30 28 27 26] \n",
      "\n",
      "[74 77 79 80 82] [82 80 79 77 74] [74 77 79 80 82] \n",
      "\n",
      "[55 56 57 60 63 64 66] [66 64 63 60 57 56 55] [66 64 63 60 57 56 55] \n",
      "\n",
      "[77 78 81 82 83 84 87] [87 84 83 82 81 78 77] [87 84 83 82 81 78 77] \n",
      "\n",
      "[85 87 90 93 95 96 98] [98 96 95 93 90 87 85] [85 87 90 93 95 96 98] \n",
      "\n",
      "[20 22 25 27 29 31] [31 29 27 25 22 20] [20 22 25 27 29 31] \n",
      "\n",
      "[27 29 30 31 32 35 38 40] [40 38 35 32 31 30 29 27] [40 38 35 32 31 30 29 27] \n",
      "\n",
      "[ 3  6  9 11 14] [14 11  9  6  3] [14 11  9  6  3] \n",
      "\n",
      "[70 73 74 77 80 83 85 87] [87 85 83 80 77 74 73 70] [87 85 83 80 77 74 73 70] \n",
      "\n",
      "[79 82 83 85 88 91 92 95] [95 92 91 88 85 83 82 79] [95 92 91 88 85 83 82 79] \n",
      "\n",
      "[41 42 44 45 46 48 51 53] [53 51 48 46 45 44 42 41] [41 42 44 45 46 48 51 53] \n",
      "\n",
      "[29 31 32 33 36 39 40] [40 39 36 33 32 31 29] [40 39 36 33 32 31 29] \n",
      "\n",
      "[21 22 23 26 27] [27 26 23 22 21] [27 26 23 22 21] \n",
      "\n",
      "[77 80 82 83 86 87 89] [89 87 86 83 82 80 77] [89 87 86 83 82 80 77] \n",
      "\n",
      "[60 61 62 63 66] [66 63 62 61 60] [66 63 62 61 60] \n",
      "\n",
      "[18 21 23 26 27 29] [29 27 26 23 21 18] [29 27 26 23 21 18] \n",
      "\n",
      "[24 26 29 31 32 34 37 39] [39 37 34 32 31 29 26 24] [24 26 29 31 32 34 37 39] \n",
      "\n",
      "[29 31 33 36 38 39 42 43] [43 42 39 38 36 33 31 29] [29 31 33 36 38 39 42 43] \n",
      "\n",
      "[15 18 19 22 25 28 31 32] [32 31 28 25 22 19 18 15] [15 18 19 22 25 28 31 32] \n",
      "\n",
      "[16 17 20 22 23 25 27 30] [30 27 25 23 22 20 17 16] [16 17 20 22 23 25 27 30] \n",
      "\n",
      "[21 23 26 29 30 33] [33 30 29 26 23 21] [33 30 29 26 23 21] \n",
      "\n",
      "[57 59 62 63 65] [65 63 62 59 57] [57 59 62 63 65] \n",
      "\n",
      "[ 4  7 10 12 13 14 17] [17 14 13 12 10  7  4] [17 14 13 12 10  7  4] \n",
      "\n",
      "[24 25 28 31 33 36 37 40] [40 37 36 33 31 28 25 24] [40 37 36 33 31 28 25 24] \n",
      "\n",
      "[61 63 66 67 69 70] [70 69 67 66 63 61] [70 69 67 66 63 61] \n",
      "\n",
      "[47 48 51 52 55] [55 52 51 48 47] [47 48 51 52 55] \n",
      "\n",
      "[ 2  4  6  9 10] [10  9  6  4  2] [10  9  6  4  2] \n",
      "\n",
      "[63 65 66 69 72 74 77 80] [80 77 74 72 69 66 65 63] [63 65 66 69 72 74 77 80] \n",
      "\n",
      "[14 16 17 20 23 26 29 30] [30 29 26 23 20 17 16 14] [30 29 26 23 20 17 16 14] \n",
      "\n",
      "[72 75 78 81 84 85 88 91] [91 88 85 84 81 78 75 72] [91 88 85 84 81 78 75 72] \n",
      "\n",
      "[72 74 76 78 80] [80 78 76 74 72] [80 78 76 74 72] \n",
      "\n",
      "[94 96 97 98 99] [99 98 97 96 94] [94 96 97 98 99] \n",
      "\n",
      "[24 26 27 29 32 33 35] [35 33 32 29 27 26 24] [35 33 32 29 27 26 24] \n",
      "\n",
      "[11 14 17 19 20 22 25 28] [28 25 22 20 19 17 14 11] [11 14 17 19 20 22 25 28] \n",
      "\n",
      "[58 60 63 64 66 67] [67 66 64 63 60 58] [58 60 63 64 66 67] \n",
      "\n",
      "[73 75 76 78 80 83] [83 80 78 76 75 73] [83 80 78 76 75 73] \n",
      "\n",
      "[45 47 48 49 52 54] [54 52 49 48 47 45] [54 52 49 48 47 45] \n",
      "\n",
      "[47 49 51 52 54 56 57] [57 56 54 52 51 49 47] [57 56 54 52 51 49 47] \n",
      "\n",
      "[58 60 62 65 68] [68 65 62 60 58] [58 60 62 65 68] \n",
      "\n",
      "[37 39 41 44 46] [46 44 41 39 37] [46 44 41 39 37] \n",
      "\n",
      "[16 17 18 19 20] [20 19 18 17 16] [16 17 18 19 20] \n",
      "\n",
      "[77 78 79 82 85] [85 82 79 78 77] [77 78 79 82 85] \n",
      "\n",
      "[41 43 44 47 49] [49 47 44 43 41] [49 47 44 43 41] \n",
      "\n",
      "[93 94 95 97 98] [98 97 95 94 93] [93 94 95 97 98] \n",
      "\n",
      "[76 77 78 80 81 83 86 87] [87 86 83 81 80 78 77 76] [87 86 83 81 80 78 77 76] \n",
      "\n",
      "[50 51 53 55 58] [58 55 53 51 50] [50 51 53 55 58] \n",
      "\n",
      "[86 87 88 91 94 97] [97 94 91 88 87 86] [97 94 91 88 87 86] \n",
      "\n",
      "[ 2  5  8 11 13 14 15] [15 14 13 11  8  5  2] [ 2  5  8 11 13 14 15] \n",
      "\n",
      "[20 21 23 26 28] [28 26 23 21 20] [20 21 23 26 28] \n",
      "\n",
      "[84 86 87 89 91 94 95] [95 94 91 89 87 86 84] [95 94 91 89 87 86 84] \n",
      "\n",
      "[12 14 17 18 20 22 25] [25 22 20 18 17 14 12] [25 22 20 18 17 14 12] \n",
      "\n",
      "[56 57 59 62 65 67 70] [70 67 65 62 59 57 56] [70 67 65 62 59 57 56] \n",
      "\n",
      "[71 72 75 76 79 81 82] [82 81 79 76 75 72 71] [71 72 75 76 79 81 82] \n",
      "\n",
      "[15 18 21 22 25 27] [27 25 22 21 18 15] [15 18 21 22 25 27] \n",
      "\n",
      "[39 41 42 43 46 48 51] [51 48 46 43 42 41 39] [39 41 42 43 46 48 51] \n",
      "\n",
      "[46 48 51 52 53 55] [55 53 52 51 48 46] [46 48 51 52 53 55] \n",
      "\n",
      "[35 38 40 43 45] [45 43 40 38 35] [35 38 40 43 45] \n",
      "\n",
      "[56 58 60 61 63 66 69] [69 66 63 61 60 58 56] [56 58 60 61 63 66 69] \n",
      "\n",
      "[26 29 31 32 33 35 37] [37 35 33 32 31 29 26] [37 35 33 32 31 29 26] \n",
      "\n",
      "[40 43 44 47 49 51] [51 49 47 44 43 40] [40 43 44 47 49 51] \n",
      "\n",
      "[56 58 61 62 64] [64 62 61 58 56] [64 62 61 58 56] \n",
      "\n",
      "411\n"
     ]
    }
   ],
   "source": [
    "count = 0\n",
    "for element in real_data:\n",
    "    sequence = np.array(element.split(' '), dtype=int)\n",
    "    sequence_copy = sequence[1:-1]\n",
    "    sequence_copy = np.append(sequence_copy, sequence[-1])\n",
    "    sequence_copy = np.append(sequence_copy, sequence[0])\n",
    "    diff = sequence - sequence_copy\n",
    "    diff = np.abs(diff[0:-1])\n",
    "    if (np.max(diff) < 4) and (np.min(diff) > 0):\n",
    "        #print(sequence)\n",
    "        # print(sequence_copy)\n",
    "        # print(diff)\n",
    "        ascending = np.sort(sequence)\n",
    "        descending = np.sort(sequence)[::-1]\n",
    "        if np.all(ascending == sequence) or np.all(descending == sequence):\n",
    "            count += 1\n",
    "            print(ascending, descending, sequence, \"\\n\")\n",
    "        # if np.sort(sequence) == sequence or np.sort(sequence)[::-1] == sequence:\n",
    "        #     count += 1\n",
    "    # print(sequence_copy, sequence, diff)\n",
    "print(count)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[18, 21, 22, 24, 26, 29, 28] [False, False, False, False, False, True, True]\n",
      "[9, 11, 14, 17, 18, 21, 21] [False, False, False, False, False, True, True]\n",
      "[48, 51, 54, 56, 60] [False, False, False, False, True]\n",
      "[6, 8, 10, 11, 16] [False, False, False, False, True]\n",
      "[75, 76, 79, 82, 80, 83] [False, False, False, True, True, False]\n",
      "[28, 31, 33, 32, 33, 30] [False, False, False, False, False, False]\n",
      "[94, 96, 94, 96, 96] [False, False, False, False, False]\n",
      "[42, 44, 45, 44, 46, 50] [False, False, False, False, False, False]\n",
      "[25, 28, 29, 26, 33] [False, False, False, False, False]\n",
      "[37, 39, 39, 42, 43] [False, True, True, False, False]\n",
      "[49, 51, 53, 56, 56, 57, 55] [False, False, False, False, False, False, False]\n",
      "[88, 91, 91, 93, 96, 99, 99] [False, False, False, False, False, False, False]\n",
      "[56, 59, 59, 61, 62, 65, 68, 72] [False, False, False, False, False, False, False, False]\n",
      "[30, 33, 35, 37, 39, 42, 42, 49] [False, False, False, False, False, False, False, False]\n",
      "[14, 17, 19, 23, 24] [False, False, False, False, False]\n",
      "[2, 4, 5, 9, 12, 15, 16, 14] [False, False, False, False, False, False, False, False]\n",
      "[88, 89, 93, 96, 99, 99] [False, False, False, False, False, False]\n",
      "[68, 70, 71, 74, 78, 81, 85] [False, False, False, False, False, False, False]\n",
      "[46, 47, 49, 53, 58] [False, False, False, False, False]\n",
      "[36, 39, 41, 47, 49, 50, 51, 54] [False, False, False, False, False, False, False, False]\n",
      "[81, 82, 85, 91, 93, 95, 96, 94] [False, False, False, False, False, False, False, False]\n",
      "[11, 14, 16, 18, 23, 23] [False, False, False, False, False, False]\n",
      "[72, 75, 81, 84, 85, 89] [False, False, False, False, False, False]\n",
      "[40, 41, 44, 46, 51, 53, 58] [False, False, False, False, False, False, False]\n",
      "[70, 68, 71, 73, 76, 77, 78, 80] [True, True, False, False, False, False, False, False]\n",
      "[83, 80, 83, 86, 83] [False, False, False, False, False]\n",
      "[44, 42, 45, 47, 49, 51, 51] [False, False, False, False, False, False, False]\n",
      "[78, 77, 80, 81, 83, 85, 88, 92] [False, False, False, False, False, False, False, False]\n",
      "[34, 33, 34, 36, 38, 45] [False, False, False, False, False, False]\n",
      "[54, 51, 52, 54, 56, 57, 56, 59] [False, False, False, False, False, False, False, False]\n",
      "[57, 54, 53, 55, 52] [False, False, False, True, False]\n",
      "[48, 46, 47, 49, 47, 47] [False, False, False, False, False, False]\n",
      "[70, 67, 64, 65, 67, 70, 72, 76] [False, False, False, False, False, False, False, False]\n",
      "[42, 41, 42, 45, 44, 46, 53] [False, False, False, False, False, False, False]\n",
      "[44, 41, 44, 47, 47, 50, 51, 53] [False, False, False, False, False, False, False, False]\n",
      "[12, 11, 13, 13, 12] [False, False, False, False, False]\n",
      "[27, 25, 25, 26, 26] [False, False, False, False, False]\n",
      "[57, 55, 55, 58, 61, 65] [False, False, False, False, False, False]\n",
      "[65, 63, 65, 68, 69, 69, 71, 78] [False, False, False, False, False, False, False, False]\n",
      "[88, 87, 91, 93, 94] [False, True, False, False, False]\n",
      "[84, 82, 84, 86, 90, 92, 93, 92] [False, False, False, False, False, False, False, False]\n",
      "[22, 21, 25, 27, 28, 28] [False, False, False, False, False, False]\n",
      "[35, 33, 35, 36, 40, 43, 44, 48] [False, False, False, False, False, False, False, False]\n",
      "[32, 30, 31, 33, 37, 44] [False, False, False, False, False, False]\n",
      "[30, 28, 30, 36, 38] [False, False, False, False, False]\n",
      "[70, 67, 69, 70, 77, 75] [False, False, False, False, False, False]\n",
      "[42, 39, 44, 47, 47] [False, False, False, False, False]\n",
      "[47, 45, 48, 53, 57] [False, False, False, False, False]\n",
      "[32, 29, 34, 35, 36, 39, 40, 46] [False, False, False, False, False, False, False, False]\n",
      "[71, 71, 74, 75, 77] [True, True, False, False, False]\n",
      "[14, 14, 16, 18, 20, 19] [False, False, False, False, False, False]\n",
      "[43, 43, 44, 47, 49, 51, 51] [False, False, False, False, False, False, False]\n",
      "[71, 71, 72, 73, 75, 76, 80] [False, False, False, False, False, False, False]\n",
      "[10, 10, 12, 14, 15, 16, 22] [False, False, False, False, False, False, False]\n",
      "[42, 42, 45, 42, 45, 48] [False, False, False, False, False, False]\n",
      "[72, 72, 75, 73, 74, 75, 73] [False, False, False, False, False, False, False]\n",
      "[82, 82, 85, 87, 84, 86, 89, 89] [False, False, False, False, False, False, False, False]\n",
      "[68, 68, 65, 67, 71] [False, False, False, False, False]\n",
      "[19, 19, 20, 21, 19, 26] [False, False, False, False, False, False]\n",
      "[87, 87, 89, 89, 92] [False, False, False, False, False]\n",
      "[78, 78, 80, 81, 82, 82, 80] [False, False, False, False, False, False, False]\n",
      "[11, 11, 11, 13, 13] [False, False, False, False, False]\n",
      "[54, 54, 57, 58, 58, 62] [False, False, False, False, False, False]\n",
      "[23, 23, 23, 26, 29, 34] [False, False, False, False, False, False]\n",
      "[8, 8, 12, 13, 16, 19] [False, False, False, False, False, False]\n",
      "[38, 38, 42, 43, 46, 47, 49, 47] [False, False, False, False, False, False, False, False]\n",
      "[30, 30, 31, 35, 36, 37, 37] [False, False, False, False, False, False, False]\n",
      "[23, 23, 27, 29, 31, 35] [False, False, False, False, False, False]\n",
      "[4, 4, 6, 10, 13, 16, 18, 25] [False, False, False, False, False, False, False, False]\n",
      "[44, 44, 47, 52, 54, 56, 57] [False, False, False, False, False, False, False]\n",
      "[32, 32, 39, 40, 37] [False, False, False, False, False]\n",
      "[10, 10, 13, 18, 20, 23, 23] [False, False, False, False, False, False, False]\n",
      "[46, 46, 52, 55, 59] [False, False, False, False, False]\n",
      "[66, 66, 73, 76, 81] [False, False, False, False, False]\n",
      "[54, 58, 61, 64, 66, 69, 71, 74] [True, False, False, False, False, False, False, False]\n",
      "[7, 11, 14, 17, 19, 22, 20] [False, False, False, False, False, False, False]\n",
      "[16, 20, 21, 23, 24, 27, 29, 29] [False, False, False, False, False, False, False, False]\n",
      "[83, 87, 90, 91, 95] [False, False, False, False, False]\n",
      "[1, 5, 6, 8, 13] [False, False, False, False, False]\n",
      "[60, 64, 65, 64, 67, 68, 69, 71] [False, False, False, False, False, False, False, False]\n",
      "[54, 58, 61, 64, 66, 69, 66, 64] [False, False, False, False, False, False, False, False]\n",
      "[74, 78, 81, 80, 83, 83] [False, False, False, False, False, False]\n",
      "[61, 65, 68, 70, 69, 70, 72, 76] [False, False, False, False, False, False, False, False]\n",
      "[84, 88, 90, 91, 88, 90, 96] [False, False, False, False, False, False, False]\n",
      "[78, 82, 85, 87, 87, 89, 91, 94] [False, False, False, False, False, False, False, False]\n",
      "[75, 79, 81, 81, 82, 84, 86, 83] [False, False, False, False, False, False, False, False]\n",
      "[2, 6, 7, 7, 8, 9, 9] [False, False, False, False, False, False, False]\n",
      "[9, 13, 14, 14, 15, 19] [False, False, False, False, False, False]\n",
      "[1, 5, 5, 8, 14] [False, False, False, False, False]\n",
      "[76, 80, 82, 86, 88, 90] [False, False, False, False, False, False]\n",
      "[78, 82, 84, 88, 89, 86] [False, False, False, False, False, False]\n",
      "[60, 64, 68, 71, 74, 74] [False, False, False, False, False, False]\n",
      "[40, 44, 46, 50, 54] [False, False, False, False, False]\n",
      "[30, 34, 35, 38, 42, 45, 47, 52] [False, False, False, False, False, False, False, False]\n",
      "[51, 55, 62, 64, 67, 70, 71, 72] [False, False, False, False, False, False, False, False]\n",
      "[37, 41, 42, 43, 48, 51, 48] [False, False, False, False, False, False, False]\n",
      "[11, 15, 16, 17, 24, 24] [False, False, False, False, False, False]\n",
      "[20, 24, 29, 32, 33, 37] [False, False, False, False, False, False]\n",
      "[61, 65, 67, 72, 74, 81] [False, False, False, False, False, False]\n",
      "[45, 52, 55, 56, 59, 60, 63] [True, False, False, False, False, False, False]\n",
      "[23, 29, 32, 34, 32] [False, False, False, False, False]\n",
      "[63, 70, 71, 72, 75, 78, 80, 80] [False, False, False, False, False, False, False, False]\n",
      "[66, 73, 75, 78, 81, 84, 88] [False, False, False, False, False, False, False]\n",
      "[19, 24, 25, 28, 29, 36] [False, False, False, False, False, False]\n",
      "[67, 72, 70, 71, 74, 75, 77, 80] [False, True, False, False, False, False, False, False]\n",
      "[30, 35, 36, 38, 37, 38, 39, 37] [False, False, False, False, False, False, False, False]\n",
      "[82, 89, 90, 92, 94, 91, 91] [False, False, False, False, False, False, False]\n",
      "[67, 74, 77, 78, 81, 84, 82, 86] [False, False, False, False, False, False, False, False]\n",
      "[27, 34, 35, 32, 33, 35, 38, 45] [False, False, False, False, False, False, False, False]\n",
      "[20, 27, 30, 30, 33] [False, False, False, False, False]\n",
      "[71, 78, 81, 82, 82, 79] [False, False, False, False, False, False]\n",
      "[54, 60, 60, 63, 64, 64] [False, False, False, False, False, False]\n",
      "[31, 37, 38, 40, 40, 44] [False, False, False, False, False, False]\n",
      "[66, 71, 73, 73, 78] [False, False, False, False, False]\n",
      "[32, 37, 39, 41, 43, 47, 50] [False, False, False, False, False, False, False]\n",
      "[50, 55, 56, 60, 62, 60] [False, False, False, False, False, False]\n",
      "[69, 76, 80, 81, 84, 84] [False, False, False, False, False, False]\n",
      "[52, 59, 63, 64, 68] [False, False, False, False, False]\n",
      "[53, 59, 60, 64, 71] [False, False, False, False, False]\n",
      "[72, 78, 80, 86, 87, 89, 92] [False, False, False, False, False, False, False]\n",
      "[28, 33, 36, 38, 44, 46, 45] [False, False, False, False, False, False, False]\n",
      "[34, 40, 43, 44, 47, 52, 52] [False, False, False, False, False, False, False]\n",
      "[2, 9, 11, 17, 20, 24] [False, False, False, False, False, False]\n",
      "[32, 39, 46, 47, 50, 55] [False, False, False, False, False, False]\n",
      "[41, 38, 35, 34, 32, 31, 28, 29] [False, False, False, False, False, False, True, True]\n",
      "[84, 81, 80, 78, 77, 77] [False, False, False, False, True, True]\n",
      "[56, 54, 51, 49, 48, 47, 43] [False, False, False, False, False, False, True]\n",
      "[65, 62, 60, 59, 56, 53, 46] [False, False, False, False, False, False, True]\n",
      "[35, 34, 31, 34, 32, 29, 27, 25] [False, False, False, False, False, False, False, False]\n",
      "[41, 40, 39, 42, 45] [False, False, False, False, False]\n",
      "[63, 60, 57, 56, 59, 58, 58] [False, False, False, False, False, False, False]\n",
      "[68, 67, 66, 63, 66, 64, 62, 58] [False, False, False, False, False, False, False, False]\n",
      "[94, 91, 90, 93, 91, 90, 83] [False, False, False, False, False, False, False]\n",
      "[60, 58, 56, 56, 54, 52, 51, 49] [False, False, True, True, False, False, False, False]\n",
      "[85, 82, 82, 79, 77, 76, 75, 76] [False, False, False, False, False, False, False, False]\n",
      "[70, 68, 66, 66, 65, 62, 62] [False, False, False, False, False, False, False]\n",
      "[56, 53, 50, 50, 46] [False, False, False, False, False]\n",
      "[48, 47, 46, 43, 42, 42, 41, 35] [False, False, False, False, False, False, False, False]\n",
      "[68, 67, 66, 65, 61, 59] [False, False, False, False, False, False]\n",
      "[65, 62, 59, 58, 56, 55, 51, 53] [False, False, False, False, False, False, True, False]\n",
      "[76, 74, 73, 70, 69, 65, 65] [False, False, False, False, False, False, False]\n",
      "[29, 28, 27, 23, 20, 19, 15] [False, False, False, False, False, False, False]\n",
      "[88, 86, 82, 81, 79, 78, 76, 71] [False, False, False, False, False, False, False, False]\n",
      "[78, 75, 70, 67, 65, 63] [False, False, False, False, False, False]\n",
      "[22, 20, 14, 13, 15] [False, False, False, False, False]\n",
      "[80, 79, 77, 72, 72] [False, False, False, False, False]\n",
      "[39, 38, 36, 33, 26, 23, 19] [False, False, False, False, False, False, False]\n",
      "[69, 68, 66, 59, 56, 53, 51, 45] [False, False, False, False, False, False, False, False]\n",
      "[55, 56, 55, 53, 51, 50] [True, False, False, False, False, False]\n",
      "[38, 41, 38, 35, 34, 37] [False, False, False, False, False, False]\n",
      "[70, 73, 71, 68, 66, 66] [False, False, False, False, False, False]\n",
      "[57, 60, 58, 56, 52] [False, False, False, False, False]\n",
      "[39, 40, 37, 34, 28] [False, False, False, False, False]\n",
      "[6, 9, 7, 6, 4, 7, 5, 3] [False, False, False, False, False, False, False, False]\n",
      "[82, 85, 84, 87, 90] [False, True, True, False, False]\n",
      "[13, 14, 15, 14, 12, 12] [False, False, False, False, False, False]\n",
      "[97, 98, 96, 98, 94] [False, False, False, False, False]\n",
      "[21, 24, 26, 23, 21, 16] [False, False, False, False, False, False]\n",
      "[39, 41, 41, 39, 38, 36] [False, False, False, False, False, False]\n",
      "[85, 87, 87, 84, 82, 79, 82] [False, False, False, False, False, False, False]\n",
      "[80, 81, 81, 79, 77, 77] [False, False, False, False, False, False]\n",
      "[67, 69, 68, 65, 65, 61] [False, False, False, False, False, False]\n",
      "[80, 82, 82, 80, 77, 74, 67] [False, False, False, False, False, False, False]\n",
      "[89, 92, 89, 85, 82] [False, False, False, False, False]\n",
      "[49, 50, 49, 45, 47] [False, False, False, False, False]\n",
      "[59, 62, 58, 57, 55, 53, 52, 52] [False, False, False, False, False, False, False, False]\n",
      "[32, 35, 31, 30, 26] [False, False, False, False, False]\n",
      "[39, 41, 39, 38, 37, 35, 31, 24] [False, False, False, False, False, False, False, False]\n",
      "[29, 30, 29, 24, 23, 21, 19, 17] [False, False, False, False, False, False, False, False]\n",
      "[13, 14, 12, 7, 8] [False, False, False, False, False]\n",
      "[31, 33, 31, 30, 23, 22, 19, 19] [False, False, False, False, False, False, False, False]\n",
      "[24, 26, 21, 18, 16, 12] [False, False, False, False, False, False]\n",
      "[37, 39, 38, 33, 32, 31, 25] [False, False, False, False, False, False, False]\n",
      "[91, 91, 90, 89, 86, 83, 80] [True, True, False, False, False, False, False]\n",
      "[56, 56, 55, 53, 55] [False, False, False, False, False]\n",
      "[84, 84, 83, 81, 79, 79] [False, False, False, False, False, False]\n",
      "[38, 38, 35, 33, 31, 28, 25, 21] [False, False, False, False, False, False, False, False]\n",
      "[35, 35, 32, 31, 29, 28, 25, 19] [False, False, False, False, False, False, False, False]\n",
      "[23, 23, 22, 23, 21, 20, 17, 16] [False, False, False, False, False, False, False, False]\n",
      "[22, 22, 19, 21, 24] [False, False, False, False, False]\n",
      "[9, 9, 10, 9, 7, 7] [False, False, False, False, False, False]\n",
      "[82, 82, 79, 81, 79, 75] [False, False, False, False, False, False]\n",
      "[29, 29, 30, 29, 23] [False, False, False, False, False]\n",
      "[16, 16, 15, 15, 12, 10] [False, False, False, False, False, False]\n",
      "[32, 32, 29, 27, 25, 25, 26] [False, False, False, False, False, False, False]\n",
      "[23, 23, 20, 20, 20] [False, False, False, False, False]\n",
      "[98, 98, 97, 96, 93, 93, 89] [False, False, False, False, False, False, False]\n",
      "[60, 60, 57, 57, 55, 53, 48] [False, False, False, False, False, False, False]\n",
      "[72, 72, 69, 65, 62, 61, 58, 57] [False, False, False, False, False, False, False, False]\n",
      "[57, 57, 54, 53, 49, 51] [False, False, False, False, False, False]\n",
      "[59, 59, 57, 53, 51, 51] [False, False, False, False, False, False]\n",
      "[77, 77, 73, 71, 67] [False, False, False, False, False]\n",
      "[20, 20, 18, 14, 13, 7] [False, False, False, False, False, False]\n",
      "[20, 20, 13, 11, 10, 8] [False, False, False, False, False, False]\n",
      "[74, 74, 71, 70, 69, 68, 62, 63] [False, False, False, False, False, False, False, False]\n",
      "[38, 38, 33, 31, 28, 26, 23, 23] [False, False, False, False, False, False, False, False]\n",
      "[91, 91, 90, 84, 80] [False, False, False, False, False]\n",
      "[86, 86, 83, 82, 80, 78, 71, 64] [False, False, False, False, False, False, False, False]\n",
      "[94, 90, 88, 85, 84, 81] [True, False, False, False, False, False]\n",
      "[61, 57, 56, 55, 52, 50, 48, 51] [False, False, False, False, False, False, False, False]\n",
      "[31, 27, 25, 22, 19, 19] [False, False, False, False, False, False]\n",
      "[79, 75, 73, 70, 68, 65, 61] [False, False, False, False, False, False, False]\n",
      "[87, 83, 81, 78, 75, 70] [False, False, False, False, False, False]\n",
      "[23, 19, 16, 14, 13, 16, 14, 11] [False, False, False, False, False, False, False, False]\n",
      "[9, 5, 7, 4, 7] [False, False, False, False, False]\n",
      "[88, 84, 82, 84, 84] [False, False, False, False, False]\n",
      "[21, 17, 15, 14, 17, 14, 11, 7] [False, False, False, False, False, False, False, False]\n",
      "[60, 56, 55, 54, 55, 53, 51, 45] [False, False, False, False, False, False, False, False]\n",
      "[57, 53, 53, 50, 48, 47, 46] [False, False, False, False, False, False, False]\n",
      "[66, 62, 60, 57, 54, 51, 51, 54] [False, False, False, False, False, False, False, False]\n",
      "[74, 70, 69, 67, 66, 66, 64, 64] [False, False, False, False, False, False, False, False]\n",
      "[31, 27, 24, 21, 21, 20, 17, 13] [False, False, False, False, False, False, False, False]\n",
      "[38, 34, 31, 28, 28, 21] [False, False, False, False, False, False]\n",
      "[86, 82, 81, 78, 76, 72, 69] [False, False, False, False, False, False, False]\n",
      "[21, 17, 14, 12, 11, 7, 10] [False, False, False, False, False, False, False]\n",
      "[17, 13, 11, 7, 7] [False, False, False, False, False]\n",
      "[36, 32, 31, 28, 24, 22, 20, 16] [False, False, False, False, False, False, False, False]\n",
      "[41, 37, 33, 31, 28, 27, 20] [False, False, False, False, False, False, False]\n",
      "[36, 32, 31, 25, 22, 21] [False, False, False, False, False, False]\n",
      "[69, 65, 62, 56, 59] [False, False, False, False, False]\n",
      "[47, 43, 42, 37, 35, 32, 32] [False, False, False, False, False, False, False]\n",
      "[52, 48, 46, 44, 39, 36, 32] [False, False, False, False, False, False, False]\n",
      "[98, 94, 93, 86, 84, 78] [False, False, False, False, False, False]\n",
      "[75, 69, 68, 66, 65, 62, 60, 58] [True, False, False, False, False, False, False, False]\n",
      "[74, 68, 66, 63, 62, 65] [False, False, False, False, False, False]\n",
      "[36, 29, 26, 25, 24, 23, 23] [False, False, False, False, False, False, False]\n",
      "[74, 69, 68, 65, 63, 60, 58, 54] [False, False, False, False, False, False, False, False]\n",
      "[75, 70, 67, 65, 63, 61, 54] [False, False, False, False, False, False, False]\n",
      "[43, 38, 39, 36, 33, 30] [False, False, False, False, False, False]\n",
      "[31, 25, 22, 19, 20, 19, 21] [False, False, False, False, False, False, False]\n",
      "[13, 8, 5, 6, 4, 4] [False, False, False, False, False, False]\n",
      "[19, 14, 12, 15, 14, 10] [False, False, False, False, False, False]\n",
      "[37, 31, 33, 30, 27, 21] [False, False, False, False, False, False]\n",
      "[93, 88, 88, 86, 83] [False, False, False, False, False]\n",
      "[19, 13, 13, 11, 10, 11] [False, False, False, False, False, False]\n",
      "[79, 74, 74, 71, 71] [False, False, False, False, False]\n",
      "[45, 39, 39, 38, 35, 34, 31, 27] [False, False, False, False, False, False, False, False]\n",
      "[52, 47, 45, 42, 42, 40, 33] [False, False, False, False, False, False, False]\n",
      "[54, 47, 44, 41, 40, 36, 35, 33] [False, False, False, False, False, False, False, False]\n",
      "[18, 13, 11, 8, 4, 2, 5] [False, False, False, False, False, False, False]\n",
      "[83, 78, 74, 73, 70, 70] [False, False, False, False, False, False]\n",
      "[16, 10, 9, 5, 1] [False, False, False, False, False]\n",
      "[35, 30, 26, 25, 24, 19] [False, False, False, False, False, False]\n",
      "[63, 57, 55, 50, 47, 44, 42] [False, False, False, False, False, False, False]\n",
      "[20, 15, 8, 7, 5, 7] [False, False, False, False, False, False]\n",
      "[68, 61, 56, 54, 54] [False, False, False, False, False]\n",
      "[80, 75, 69, 67, 65, 61] [False, False, False, False, False, False]\n",
      "[35, 30, 29, 27, 24, 18, 13] [False, False, False, False, False, False, False]\n",
      "[60, 61, 63, 64, 67, 64] [False, False, False, False, False, True]\n",
      "[20, 23, 25, 27, 28, 28] [False, False, False, False, True, True]\n",
      "[62, 63, 65, 67, 70, 72, 76] [False, False, False, False, False, False, True]\n",
      "[83, 86, 89, 92, 93, 99] [False, False, False, False, False, True]\n",
      "[14, 16, 17, 16, 18, 21, 23] [False, False, False, True, False, False, False]\n",
      "[7, 8, 11, 8, 10, 7] [False, False, False, False, False, False]\n",
      "[40, 43, 40, 43, 45, 45] [False, False, False, False, False, False]\n",
      "[76, 79, 78, 79, 82, 85, 88, 92] [False, False, False, False, False, False, False, False]\n",
      "[40, 43, 45, 44, 47, 50, 52, 58] [False, False, False, False, False, False, False, False]\n",
      "[69, 72, 73, 74, 77, 79, 79, 80] [False, False, False, False, False, True, True, False]\n",
      "[11, 13, 15, 15, 16, 15] [False, False, False, False, False, False]\n",
      "[2, 3, 3, 5, 8, 11, 11] [False, False, False, False, False, False, False]\n",
      "[64, 67, 68, 68, 72] [False, False, False, False, False]\n",
      "[48, 51, 54, 54, 60] [False, False, False, False, False]\n",
      "[1, 2, 6, 9, 10, 13] [False, False, False, False, False, False]\n",
      "[79, 80, 82, 86, 88, 89, 86] [False, False, False, False, False, False, False]\n",
      "[22, 23, 27, 30, 33, 36, 36] [False, False, False, False, False, False, False]\n",
      "[73, 76, 78, 82, 86] [False, False, False, False, False]\n",
      "[9, 11, 13, 17, 18, 23] [False, False, False, False, False, False]\n",
      "[55, 58, 59, 61, 68, 71] [False, False, False, False, False, False]\n",
      "[5, 8, 11, 18, 17] [False, False, False, False, False]\n",
      "[22, 25, 27, 28, 29, 35, 35] [False, False, False, False, False, False, False]\n",
      "[60, 63, 64, 67, 74, 77, 81] [False, False, False, False, False, False, False]\n",
      "[66, 67, 73, 75, 78, 84] [False, False, False, False, False, False]\n",
      "[62, 60, 62, 63, 66] [True, False, False, False, False]\n",
      "[23, 20, 21, 23, 24, 21] [False, False, False, False, False, False]\n",
      "[38, 37, 38, 40, 42, 42] [False, False, False, False, False, False]\n",
      "[9, 7, 8, 9, 12, 16] [False, False, False, False, False, False]\n",
      "[79, 78, 80, 82, 84, 85, 88, 95] [False, False, False, False, False, False, False, False]\n",
      "[13, 12, 14, 11, 14] [False, False, False, False, False]\n",
      "[60, 57, 60, 59, 61, 58] [False, False, False, False, False, False]\n",
      "[11, 10, 11, 8, 8] [False, False, False, False, False]\n",
      "[7, 6, 9, 11, 8, 12] [False, False, False, False, False, False]\n",
      "[25, 23, 24, 25, 23, 30] [False, False, False, False, False, False]\n",
      "[3, 2, 3, 3, 4, 5] [False, False, False, False, False, False]\n",
      "[65, 63, 66, 68, 71, 74, 74, 72] [False, False, False, False, False, False, False, False]\n",
      "[51, 50, 50, 51, 53, 53] [False, False, False, False, False, False]\n",
      "[67, 66, 69, 72, 72, 76] [False, False, False, False, False, False]\n",
      "[67, 64, 66, 66, 69, 74] [False, False, False, False, False, False]\n",
      "[74, 71, 74, 76, 79, 83, 84] [False, False, False, False, False, False, False]\n",
      "[76, 75, 77, 81, 82, 79] [False, False, False, False, False, False]\n",
      "[43, 42, 46, 49, 50, 50] [False, False, False, False, False, False]\n",
      "[19, 17, 19, 21, 24, 26, 30, 34] [False, False, False, False, False, False, False, False]\n",
      "[33, 31, 33, 37, 40, 41, 43, 49] [False, False, False, False, False, False, False, False]\n",
      "[22, 19, 20, 25, 27, 30] [False, False, False, False, False, False]\n",
      "[62, 60, 66, 69, 66] [False, False, False, False, False]\n",
      "[55, 53, 58, 59, 61, 63, 66, 66] [False, False, False, False, False, False, False, False]\n",
      "[19, 16, 21, 22, 25, 29] [False, False, False, False, False, False]\n",
      "[31, 29, 31, 36, 38, 43] [False, False, False, False, False, False]\n",
      "[24, 24, 25, 26, 29, 32, 35] [True, True, False, False, False, False, False]\n",
      "[16, 16, 19, 20, 18] [False, False, False, False, False]\n",
      "[42, 42, 43, 46, 46] [False, False, False, False, False]\n",
      "[86, 86, 89, 92, 96] [False, False, False, False, False]\n",
      "[56, 56, 57, 60, 65] [False, False, False, False, False]\n",
      "[62, 62, 59, 61, 64] [False, False, False, False, False]\n",
      "[75, 75, 77, 80, 77, 80, 83, 82] [False, False, False, False, False, False, False, False]\n",
      "[31, 31, 33, 32, 32] [False, False, False, False, False]\n",
      "[60, 60, 62, 63, 65, 62, 66] [False, False, False, False, False, False, False]\n",
      "[5, 5, 7, 6, 8, 9, 14] [False, False, False, False, False, False, False]\n",
      "[41, 41, 44, 46, 46, 49, 52, 55] [False, False, False, False, False, False, False, False]\n",
      "[12, 12, 14, 16, 16, 19, 20, 18] [False, False, False, False, False, False, False, False]\n",
      "[23, 23, 24, 24, 25, 26, 27, 27] [False, False, False, False, False, False, False, False]\n",
      "[3, 3, 3, 5, 7, 11] [False, False, False, False, False, False]\n",
      "[83, 83, 84, 84, 86, 91] [False, False, False, False, False, False]\n",
      "[62, 62, 66, 67, 68] [False, False, False, False, False]\n",
      "[39, 39, 41, 43, 46, 48, 52, 50] [False, False, False, False, False, False, False, False]\n",
      "[28, 28, 31, 32, 34, 38, 38] [False, False, False, False, False, False, False]\n",
      "[11, 11, 15, 17, 21] [False, False, False, False, False]\n",
      "[77, 77, 81, 82, 83, 85, 90] [False, False, False, False, False, False, False]\n",
      "[49, 49, 52, 59, 62, 64, 67, 70] [False, False, False, False, False, False, False, False]\n",
      "[32, 32, 37, 39, 38] [False, False, False, False, False]\n",
      "[80, 80, 85, 86, 88, 88] [False, False, False, False, False, False]\n",
      "[7, 7, 10, 16, 20] [False, False, False, False, False]\n",
      "[33, 33, 36, 38, 40, 46, 51] [False, False, False, False, False, False, False]\n",
      "[68, 72, 75, 77, 80, 83, 84, 87] [True, False, False, False, False, False, False, False]\n",
      "[58, 62, 63, 66, 67, 66] [False, False, False, False, False, False]\n",
      "[7, 11, 13, 16, 17, 17] [False, False, False, False, False, False]\n",
      "[17, 21, 23, 24, 25, 26, 30] [False, False, False, False, False, False, False]\n",
      "[53, 57, 60, 63, 70] [False, False, False, False, False]\n",
      "[27, 31, 30, 32, 33, 35] [False, True, False, False, False, False]\n",
      "[26, 30, 31, 33, 30, 27] [False, False, False, False, False, False]\n",
      "[16, 20, 21, 22, 21, 24, 25, 25] [False, False, False, False, False, False, False, False]\n",
      "[21, 25, 26, 29, 32, 31, 35] [False, False, False, False, False, False, False]\n",
      "[66, 70, 67, 69, 70, 72, 74, 80] [False, False, False, False, False, False, False, False]\n",
      "[17, 21, 21, 23, 25, 27, 29] [False, False, False, False, False, False, False]\n",
      "[57, 61, 64, 67, 67, 68, 67] [False, False, False, False, False, False, False]\n",
      "[87, 91, 93, 94, 94, 97, 97] [False, False, False, False, False, False, False]\n",
      "[76, 80, 82, 82, 83, 84, 87, 91] [False, False, False, False, False, False, False, False]\n",
      "[19, 23, 24, 27, 27, 32] [False, False, False, False, False, False]\n",
      "[34, 38, 40, 44, 47] [False, False, False, False, False]\n",
      "[6, 10, 13, 14, 17, 20, 24, 21] [False, False, False, False, False, False, False, False]\n",
      "[48, 52, 53, 57, 59, 59] [False, False, False, False, False, False]\n",
      "[79, 83, 87, 89, 93] [False, False, False, False, False]\n",
      "[73, 77, 79, 82, 84, 88, 93] [False, False, False, False, False, False, False]\n",
      "[41, 45, 48, 50, 52, 57, 58, 59] [False, False, False, False, False, False, False, False]\n",
      "[49, 53, 58, 60, 61, 58] [False, False, False, False, False, False]\n",
      "[8, 12, 17, 18, 20, 20] [False, False, False, False, False, False]\n",
      "[2, 6, 7, 10, 12, 14, 20, 24] [False, False, False, False, False, False, False, False]\n",
      "[75, 79, 85, 87, 88, 90, 93, 99] [False, False, False, False, False, False, False, False]\n",
      "[60, 67, 70, 73, 76, 78, 80] [True, False, False, False, False, False, False]\n",
      "[61, 67, 68, 69, 68] [False, False, False, False, False]\n",
      "[63, 69, 70, 73, 73] [False, False, False, False, False]\n",
      "[42, 48, 51, 52, 54, 56, 60] [False, False, False, False, False, False, False]\n",
      "[71, 78, 79, 81, 88] [False, False, False, False, False]\n",
      "[79, 86, 89, 91, 94, 93, 95, 96] [False, False, False, False, False, False, False, False]\n",
      "[48, 55, 52, 54, 56, 59, 58] [False, False, False, False, False, False, False]\n",
      "[32, 38, 41, 43, 46, 43, 43] [False, False, False, False, False, False, False]\n",
      "[54, 61, 62, 60, 63, 67] [False, False, False, False, False, False]\n",
      "[83, 89, 90, 92, 93, 92, 98] [False, False, False, False, False, False, False]\n",
      "[34, 41, 43, 43, 45, 47] [False, False, False, False, False, False]\n",
      "[44, 49, 49, 51, 48] [False, False, False, False, False]\n",
      "[36, 43, 44, 44, 44] [False, False, False, False, False]\n",
      "[54, 61, 64, 67, 67, 71] [False, False, False, False, False, False]\n",
      "[21, 28, 31, 31, 34, 40] [False, False, False, False, False, False]\n",
      "[3, 8, 12, 15, 18, 19] [False, False, False, False, False, False]\n",
      "[54, 59, 60, 61, 65, 63] [False, False, False, False, False, False]\n",
      "[20, 25, 29, 30, 30] [False, False, False, False, False]\n",
      "[61, 67, 70, 72, 76, 79, 80, 84] [False, False, False, False, False, False, False, False]\n",
      "[56, 63, 66, 67, 71, 72, 75, 80] [False, False, False, False, False, False, False, False]\n",
      "[12, 19, 26, 28, 29, 31] [False, False, False, False, False, False]\n",
      "[42, 49, 51, 53, 58, 56] [False, False, False, False, False, False]\n",
      "[22, 29, 30, 36, 36] [False, False, False, False, False]\n",
      "[64, 71, 74, 76, 81, 85] [False, False, False, False, False, False]\n",
      "[65, 72, 79, 82, 87] [False, False, False, False, False]\n",
      "[60, 58, 56, 53, 51, 52] [False, False, False, False, True, True]\n",
      "[26, 23, 22, 20, 18, 17, 17] [False, False, False, False, False, True, True]\n",
      "[50, 48, 46, 43, 41, 40, 36] [False, False, False, False, False, False, True]\n",
      "[99, 96, 95, 92, 86] [False, False, False, False, True]\n",
      "[23, 21, 19, 20, 19, 17, 14, 13] [False, False, True, False, False, False, False, False]\n",
      "[82, 79, 78, 75, 73, 71, 74, 76] [False, False, False, False, False, False, False, False]\n",
      "[85, 83, 84, 81, 81] [False, False, False, False, False]\n",
      "[79, 77, 75, 73, 71, 72, 68] [False, False, False, False, False, True, False]\n",
      "[63, 62, 64, 63, 60, 58, 51] [False, False, False, False, False, False, False]\n",
      "[16, 13, 11, 8, 5, 5, 4, 1] [False, False, False, False, True, True, False, False]\n",
      "[22, 20, 17, 16, 16, 15, 13, 16] [False, False, False, False, False, False, False, False]\n",
      "[54, 51, 48, 48, 48] [False, False, False, False, False]\n",
      "[92, 91, 91, 88, 84] [False, False, False, False, False]\n",
      "[22, 19, 17, 16, 13, 13, 11, 4] [False, False, False, False, False, False, False, False]\n",
      "[47, 45, 42, 40, 39, 36, 32, 29] [False, False, False, False, False, False, False, False]\n",
      "[55, 53, 49, 48, 46, 43, 45] [False, False, False, False, False, False, False]\n",
      "[32, 30, 28, 27, 23, 20, 20] [False, False, False, False, False, False, False]\n",
      "[87, 85, 81, 80, 79, 76, 75, 71] [False, False, False, False, False, False, False, False]\n",
      "[78, 75, 71, 68, 67, 66, 59] [False, False, False, False, False, False, False]\n",
      "[18, 17, 14, 12, 9, 4, 1] [False, False, False, False, False, False, False]\n",
      "[44, 43, 40, 38, 33, 36] [False, False, False, False, True, False]\n",
      "[76, 74, 72, 66, 64, 64] [False, False, False, False, False, False]\n",
      "[17, 15, 12, 7, 5, 1] [False, False, False, False, False, False]\n",
      "[31, 30, 27, 21, 18, 16, 11] [False, False, False, False, False, False, False]\n",
      "[12, 15, 12, 11, 8, 7, 5, 4] [True, False, False, False, False, False, False, False]\n",
      "[40, 42, 40, 39, 37, 34, 31, 32] [False, False, False, False, False, False, False, False]\n",
      "[64, 67, 65, 63, 60, 59, 58, 58] [False, False, False, False, False, False, False, False]\n",
      "[12, 14, 12, 11, 8, 7, 3] [False, False, False, False, False, False, False]\n",
      "[38, 39, 37, 34, 32, 31, 30, 23] [False, False, False, False, False, False, False, False]\n",
      "[91, 94, 93, 96, 94, 91] [False, False, False, False, False, False]\n",
      "[96, 97, 99, 98, 96, 95, 96] [False, False, False, False, False, False, False]\n",
      "[69, 71, 68, 67, 69, 68, 68] [False, False, False, False, False, False, False]\n",
      "[89, 90, 93, 90, 86] [False, False, False, False, False]\n",
      "[30, 31, 28, 30, 25] [False, False, False, False, False]\n",
      "[85, 87, 84, 84, 81] [False, False, False, False, False]\n",
      "[40, 42, 42, 41, 43] [False, False, False, False, False]\n",
      "[95, 98, 96, 96, 93, 93] [False, False, False, False, False, False]\n",
      "[68, 71, 71, 68, 66, 64, 61, 57] [False, False, False, False, False, False, False, False]\n",
      "[53, 55, 55, 52, 50, 44] [False, False, False, False, False, False]\n",
      "[58, 59, 56, 55, 51, 49, 46] [False, False, False, False, False, False, False]\n",
      "[85, 88, 84, 83, 84] [False, False, False, False, False]\n",
      "[73, 75, 73, 69, 68, 65, 65] [False, False, False, False, False, False, False]\n",
      "[11, 13, 10, 6, 2] [False, False, False, False, False]\n",
      "[65, 66, 64, 60, 55] [False, False, False, False, False]\n",
      "[46, 48, 43, 41, 38] [False, True, False, False, False]\n",
      "[11, 12, 7, 6, 3, 5] [False, False, False, False, False, False]\n",
      "[39, 40, 39, 34, 34] [False, False, False, False, False]\n",
      "[94, 96, 91, 90, 87, 86, 82] [False, False, False, False, False, False, False]\n",
      "[78, 81, 78, 76, 69, 67, 65, 59] [False, False, False, False, False, False, False, False]\n",
      "[99, 99, 96, 93, 91] [True, True, False, False, False]\n",
      "[86, 86, 85, 82, 85] [False, False, False, False, False]\n",
      "[60, 60, 58, 56, 55, 53, 53] [False, False, False, False, False, False, False]\n",
      "[97, 97, 94, 91, 88, 84] [False, False, False, False, False, False]\n",
      "[57, 57, 54, 52, 50, 48, 46, 41] [False, False, False, False, False, False, False, False]\n",
      "[48, 48, 50, 49, 46] [False, False, False, False, False]\n",
      "[96, 96, 95, 97, 95, 92, 94] [False, False, False, False, False, False, False]\n",
      "[82, 82, 81, 80, 81, 81] [False, False, False, False, False, False]\n",
      "[61, 61, 58, 61, 57] [False, False, False, False, False]\n",
      "[47, 47, 44, 45, 42, 39, 34] [False, False, False, False, False, False, False]\n",
      "[17, 17, 15, 12, 12, 9, 8] [False, False, False, False, False, False, False]\n",
      "[73, 73, 71, 69, 69, 66, 65, 68] [False, False, False, False, False, False, False, False]\n",
      "[51, 51, 48, 46, 46, 43, 41, 41] [False, False, False, False, False, False, False, False]\n",
      "[34, 34, 31, 28, 28, 25, 21] [False, False, False, False, False, False, False]\n",
      "[53, 53, 52, 50, 50, 47, 46, 41] [False, False, False, False, False, False, False, False]\n",
      "[73, 73, 69, 68, 65, 63] [False, False, False, False, False, False]\n",
      "[81, 81, 77, 75, 72, 74] [False, False, False, False, False, False]\n",
      "[41, 41, 39, 37, 36, 35, 31, 31] [False, False, False, False, False, False, False, False]\n",
      "[89, 89, 88, 87, 84, 80, 76] [False, False, False, False, False, False, False]\n",
      "[56, 56, 54, 51, 48, 46, 42, 37] [False, False, False, False, False, False, False, False]\n",
      "[22, 22, 20, 19, 12, 9, 6, 3] [False, False, False, False, False, False, False, False]\n",
      "[11, 11, 5, 4, 7] [False, False, False, False, False]\n",
      "[92, 92, 89, 88, 87, 86, 81, 81] [False, False, False, False, False, False, False, False]\n",
      "[48, 48, 42, 41, 40, 37, 36, 32] [False, False, False, False, False, False, False, False]\n",
      "[34, 34, 31, 24, 17] [False, False, False, False, False]\n",
      "[34, 30, 28, 26, 24, 23, 22] [True, False, False, False, False, False, False]\n",
      "[92, 88, 87, 86, 85, 82, 85] [False, False, False, False, False, False, False]\n",
      "[93, 89, 87, 84, 83, 81, 81] [False, False, False, False, False, False, False]\n",
      "[62, 58, 57, 56, 52] [False, False, False, False, False]\n",
      "[47, 43, 42, 39, 36, 31] [False, False, False, False, False, False]\n",
      "[90, 86, 83, 84, 83] [False, False, False, False, False]\n",
      "[34, 30, 29, 26, 23, 24, 25] [False, False, False, False, False, False, False]\n",
      "[73, 69, 72, 69, 67, 66, 66] [False, False, False, False, False, False, False]\n",
      "[44, 40, 39, 42, 38] [False, False, False, False, False]\n",
      "[93, 89, 87, 86, 88, 82] [False, False, False, False, False, False]\n",
      "[57, 53, 51, 51, 49, 46, 44] [False, False, False, False, False, False, False]\n",
      "[83, 79, 78, 78, 77, 74, 75] [False, False, False, False, False, False, False]\n",
      "[48, 44, 43, 42, 40, 40, 37, 37] [False, False, False, False, False, False, False, False]\n",
      "[24, 20, 20, 19, 16, 12] [False, False, False, False, False, False]\n",
      "[63, 59, 56, 56, 53, 48] [False, False, False, False, False, False]\n",
      "[39, 35, 34, 31, 28, 24, 23] [False, False, False, False, False, False, False]\n",
      "[48, 44, 40, 37, 34, 33, 32, 33] [False, False, False, False, False, False, False, False]\n",
      "[72, 68, 64, 63, 62, 62] [False, False, False, False, False, False]\n",
      "[84, 80, 76, 74, 72, 70, 66] [False, False, False, False, False, False, False]\n",
      "[76, 72, 71, 68, 67, 63, 60, 53] [False, False, False, False, False, False, False, False]\n",
      "[47, 43, 42, 41, 36, 35, 33, 32] [False, False, False, False, False, False, False, False]\n",
      "[63, 59, 58, 57, 51, 48, 47, 50] [False, False, False, False, False, False, False, False]\n",
      "[34, 30, 23, 22, 22] [False, False, False, False, False]\n",
      "[81, 77, 75, 73, 72, 71, 64, 60] [False, False, False, False, False, False, False, False]\n",
      "[92, 88, 81, 78, 75, 69] [False, False, False, False, False, False]\n",
      "[51, 45, 44, 43, 42, 39, 36] [True, False, False, False, False, False, False]\n",
      "[49, 44, 43, 40, 38, 40] [False, False, False, False, False, False]\n",
      "[83, 77, 75, 72, 72] [False, False, False, False, False]\n",
      "[37, 30, 27, 24, 21, 17] [False, False, False, False, False, False]\n",
      "[94, 87, 86, 83, 82, 81, 80, 75] [False, False, False, False, False, False, False, False]\n",
      "[95, 90, 93, 91, 88, 87, 85, 82] [False, True, False, False, False, False, False, False]\n",
      "[39, 33, 30, 27, 29, 30] [False, False, False, False, False, False]\n",
      "[62, 56, 59, 57, 54, 51, 48, 48] [False, False, False, False, False, False, False, False]\n",
      "[59, 53, 55, 53, 49] [False, False, False, False, False]\n",
      "[29, 22, 20, 19, 18, 17, 19, 14] [False, False, False, False, False, False, False, False]\n",
      "[69, 63, 62, 62, 61, 59, 57] [False, False, False, False, False, False, False]\n",
      "[29, 24, 21, 21, 18, 21] [False, False, False, False, False, False]\n",
      "[88, 82, 81, 80, 79, 79, 77, 77] [False, False, False, False, False, False, False, False]\n",
      "[58, 51, 50, 50, 46] [False, False, False, False, False]\n",
      "[85, 80, 78, 78, 75, 69] [False, False, False, False, False, False]\n",
      "[66, 61, 60, 56, 53, 52, 49, 47] [False, False, False, False, False, False, False, False]\n",
      "[20, 13, 10, 6, 4, 3, 5] [False, False, False, False, False, False, False]\n",
      "[16, 10, 8, 7, 3, 2, 2] [False, False, False, False, False, False, False]\n",
      "[72, 65, 61, 58, 57, 55, 51] [False, False, False, False, False, False, False]\n",
      "[58, 52, 48, 46, 44, 42, 39, 32] [False, False, False, False, False, False, False, False]\n",
      "[62, 55, 49, 48, 46, 43] [False, False, False, False, False, False]\n",
      "[93, 86, 83, 81, 80, 74, 76] [False, False, False, False, False, False, False]\n",
      "[77, 70, 68, 61, 61] [False, False, False, False, False]\n",
      "[50, 45, 43, 37, 36, 35, 33, 29] [False, False, False, False, False, False, False, False]\n",
      "[41, 36, 33, 26, 21] [False, False, False, False, False]\n",
      "[52, 55, 60, 62, 63, 63] [False, False, False, False, False, False]\n",
      "[68, 66, 66, 65, 64, 62, 62] [False, False, False, False, False, False, False]\n",
      "[19, 20, 18, 14, 12] [False, False, False, False, False]\n",
      "[71, 75, 78, 80, 80, 82, 89] [False, False, False, False, False, False, False]\n",
      "[1, 8, 13, 14, 18] [False, False, False, False, False]\n",
      "[78, 83, 84, 85, 86, 88, 86] [False, False, False, False, False, False, False]\n",
      "[85, 83, 80, 76, 73, 72, 72] [False, False, False, False, False, False, False]\n",
      "[32, 31, 35, 37, 39, 37] [False, False, False, False, False, False]\n",
      "[71, 72, 71, 70, 68, 61] [False, False, False, False, False, False]\n",
      "[14, 18, 21, 21, 23, 26, 29, 32] [False, False, False, False, False, False, False, False]\n",
      "[54, 60, 62, 65, 63, 69] [False, False, False, False, False, False]\n",
      "[74, 72, 69, 71, 75] [False, False, False, False, False]\n",
      "[12, 9, 12, 15, 17, 18, 15] [False, False, False, False, False, False, False]\n",
      "[54, 61, 66, 69, 72, 74, 74] [False, False, False, False, False, False, False]\n",
      "[41, 46, 47, 49, 51, 55] [False, False, False, False, False, False]\n",
      "[77, 71, 74, 71, 68, 65, 59] [False, False, False, False, False, False, False]\n",
      "[43, 43, 42, 42, 41, 39, 40] [False, False, False, False, False, False, False]\n",
      "[68, 61, 60, 57, 56, 49, 48, 45] [False, False, False, False, False, False, False, False]\n",
      "[13, 13, 15, 16, 14] [False, False, False, False, False]\n",
      "[85, 87, 88, 88, 90, 92, 98] [False, False, False, False, False, False, False]\n",
      "[14, 11, 8, 8, 6] [False, False, True, True, False]\n",
      "[50, 50, 47, 44, 40, 37, 36, 31] [False, False, False, False, False, False, False, False]\n",
      "[79, 80, 82, 83, 85, 86, 87, 91] [False, False, False, False, False, False, False, True]\n",
      "[39, 46, 49, 49, 53] [False, False, False, False, False]\n",
      "[3, 10, 13, 15, 16, 16, 15] [False, False, False, False, False, False, False]\n",
      "[45, 41, 40, 37, 37] [False, False, False, False, False]\n",
      "[22, 20, 22, 19, 21, 19] [False, False, False, False, False, False]\n",
      "[17, 17, 15, 16, 18, 19, 26] [False, False, False, False, False, False, False]\n",
      "[68, 65, 72, 75, 74] [False, False, False, False, False]\n",
      "[51, 55, 58, 61, 61, 62, 65, 62] [False, False, False, False, False, False, False, False]\n",
      "[36, 36, 33, 30, 29, 28, 26, 19] [False, False, False, False, False, False, False, False]\n",
      "[15, 20, 19, 21, 23, 25, 26, 29] [False, False, False, False, False, False, False, False]\n",
      "[43, 41, 39, 37, 40, 43] [False, False, False, False, False, False]\n",
      "[69, 66, 66, 68, 69, 69] [False, False, False, False, False, False]\n",
      "[63, 63, 62, 59, 56, 55] [True, True, False, False, False, False]\n",
      "[15, 19, 21, 23, 25, 28, 32] [False, False, False, False, False, False, False]\n",
      "[52, 55, 53, 46, 44, 40] [False, False, False, False, False, False]\n",
      "[25, 19, 17, 13, 12, 11, 6] [False, False, False, False, False, False, False]\n",
      "[8, 10, 11, 14, 19, 21, 19] [False, False, False, False, False, False, False]\n",
      "[52, 48, 46, 43, 39] [False, False, False, False, False]\n",
      "[30, 30, 29, 27, 23] [False, False, False, False, False]\n",
      "[43, 45, 42, 41, 37, 36, 36] [False, False, False, False, False, False, False]\n",
      "[20, 20, 27, 30, 33, 35] [False, False, False, False, False, False]\n",
      "[88, 89, 94, 95, 98] [False, False, False, False, False]\n",
      "[72, 73, 69, 66, 59] [False, False, False, False, False]\n",
      "[57, 64, 67, 69, 74, 76] [False, False, False, False, False, False]\n",
      "[82, 79, 76, 77, 76, 73, 71, 64] [False, False, False, False, False, False, False, False]\n",
      "[96, 98, 96, 95, 94, 92, 92, 92] [False, False, False, False, False, False, False, False]\n",
      "[92, 94, 91, 88, 86, 82, 85] [False, False, False, False, False, False, False]\n",
      "[97, 93, 93, 92, 89, 88, 85, 83] [False, False, False, False, False, False, False, False]\n",
      "[18, 22, 25, 29, 32, 33, 36, 38] [False, False, False, False, False, False, False, False]\n",
      "[38, 34, 34, 32, 35] [False, False, False, False, False]\n",
      "[37, 38, 37, 36, 35, 32, 30, 30] [False, False, False, False, False, False, False, False]\n",
      "[67, 68, 71, 71, 73, 76] [False, False, True, True, False, False]\n",
      "[44, 43, 43, 42, 45] [False, False, False, False, False]\n",
      "[47, 49, 48, 46, 42, 38] [False, False, False, False, False, False]\n",
      "[27, 23, 20, 16, 9] [False, False, False, False, False]\n",
      "[7, 9, 8, 10, 3] [False, False, False, False, False]\n",
      "[92, 85, 82, 81, 78, 74, 72, 73] [False, False, False, False, False, False, False, False]\n",
      "[24, 20, 23, 20, 19, 15] [False, False, False, False, False, False]\n",
      "[87, 87, 84, 83, 80, 77, 70, 70] [False, False, False, False, False, False, False, False]\n",
      "[55, 58, 58, 56, 52] [False, False, False, False, False]\n",
      "[69, 76, 77, 80, 86] [False, False, False, False, False]\n",
      "[56, 59, 65, 68, 72] [False, False, False, False, False]\n",
      "[87, 83, 82, 78, 77, 73] [False, False, False, False, False, False]\n",
      "[68, 73, 75, 79, 80, 83, 82] [False, False, False, False, False, False, False]\n",
      "[55, 51, 51, 48, 42] [False, False, False, False, False]\n",
      "[12, 17, 20, 19, 20, 21, 22, 19] [False, False, False, False, False, False, False, False]\n",
      "[92, 95, 98, 99, 97, 97] [False, False, False, False, False, False]\n",
      "[34, 30, 27, 24, 25, 23, 22, 20] [False, False, False, False, False, False, False, False]\n",
      "[23, 27, 27, 28, 28] [False, False, False, False, False]\n",
      "[52, 50, 50, 48, 44] [False, False, False, False, False]\n",
      "[75, 73, 71, 64, 61] [False, False, False, False, False]\n",
      "[69, 69, 63, 61, 57] [False, False, False, False, False]\n",
      "[20, 20, 21, 22, 26, 29] [False, False, False, False, False, False]\n",
      "[25, 27, 29, 29, 32, 35, 38, 36] [False, False, False, False, False, False, False, False]\n",
      "[28, 32, 34, 35, 36, 43, 45] [False, False, False, False, False, False, False]\n",
      "[41, 41, 42, 47, 47] [False, False, False, False, False]\n",
      "[44, 41, 43, 48, 50] [False, False, False, False, False]\n",
      "[71, 71, 74, 75, 78, 82, 86] [False, False, False, False, False, False, False]\n",
      "[16, 16, 16, 14, 12, 12] [False, False, False, False, False, False]\n",
      "[7, 8, 11, 14, 14, 18] [False, False, False, False, False, False]\n",
      "[26, 30, 32, 34, 36, 36] [False, False, False, False, False, False]\n",
      "[62, 63, 61, 54, 52, 53] [False, False, False, False, False, False]\n",
      "[65, 71, 72, 75, 72, 75, 75] [False, False, False, False, False, False, False]\n",
      "[54, 58, 62, 64, 70] [False, False, False, False, False]\n",
      "[35, 35, 38, 39, 43, 45, 50] [False, False, False, False, False, False, False]\n",
      "[78, 82, 83, 87, 88, 92] [False, False, False, False, False, False]\n",
      "[32, 32, 35, 32, 30] [False, False, False, False, False]\n",
      "[52, 49, 51, 54, 56] [True, False, False, False, False]\n",
      "[28, 28, 31, 29, 27, 27] [False, False, False, False, False, False]\n",
      "[2, 2, 5, 6, 7, 14, 18] [False, False, False, False, False, False, False]\n",
      "[75, 75, 78, 82, 79] [False, False, False, False, False]\n",
      "[64, 61, 59, 56, 54, 52, 49, 48] [True, False, False, False, False, False, False, True]\n",
      "[55, 53, 50, 49, 47, 46, 45, 44] [True, False, False, True, True, True, True, True]\n",
      "[55, 53, 51, 48, 46, 45, 42] [True, False, False, False, True, False, True]\n",
      "[65, 67, 70, 72, 74, 75] [True, False, False, False, True, True]\n",
      "[88, 91, 92, 93, 95, 97, 98] [True, False, True, True, False, True, True]\n",
      "[99, 96, 95, 93, 92, 91] [True, False, True, True, True, True]\n",
      "[1, 3, 6, 9, 11] [True, False, False, False, True]\n",
      "[73, 72, 70, 68, 66, 64] [True, True, False, False, False, True]\n",
      "[40, 42, 45, 46, 49] [True, False, False, False, True]\n",
      "[56, 57, 59, 60, 62, 65, 67] [True, True, True, True, False, False, True]\n",
      "[64, 62, 60, 59, 57, 54, 51, 49] [True, False, True, True, False, False, False, True]\n",
      "[23, 22, 21, 18, 15, 14, 12] [True, True, False, False, False, True, True]\n",
      "[8, 10, 12, 14, 17, 20] [True, False, False, False, False, True]\n",
      "[21, 20, 18, 15, 13, 10, 9] [True, True, False, False, False, False, True]\n",
      "[26, 28, 29, 32, 33, 36, 39] [True, True, False, False, False, False, True]\n",
      "[21, 20, 17, 15, 14, 11, 10] [True, False, False, True, False, False, True]\n",
      "[32, 30, 29, 27, 25, 24] [True, True, True, False, True, True]\n",
      "[27, 30, 32, 34, 37, 39] [True, False, False, False, False, True]\n",
      "[29, 31, 33, 35, 37, 39, 42, 45] [True, False, False, False, False, False, False, True]\n",
      "[41, 44, 46, 47, 50, 51, 52, 55] [True, False, True, False, False, True, False, True]\n",
      "[19, 18, 16, 15, 13] [True, True, True, True, True]\n",
      "[56, 55, 52, 49, 47] [True, False, False, False, True]\n",
      "[62, 64, 65, 68, 70, 71, 72, 73] [True, True, False, False, True, True, True, True]\n",
      "[63, 64, 66, 69, 72] [True, True, False, False, True]\n",
      "[41, 39, 38, 36, 35] [True, True, True, True, True]\n",
      "[9, 12, 15, 17, 19, 21] [True, False, False, False, False, True]\n",
      "[18, 21, 24, 26, 27, 28] [True, False, False, True, True, True]\n",
      "[81, 82, 84, 87, 88, 91, 92, 93] [True, True, False, False, False, False, True, True]\n",
      "[31, 34, 36, 37, 40, 41, 42, 45] [True, False, True, False, False, True, False, True]\n",
      "[31, 29, 27, 25, 23, 20, 19] [True, False, False, False, False, False, True]\n",
      "[67, 70, 72, 74, 75, 76] [True, False, False, True, True, True]\n",
      "[65, 63, 60, 57, 54, 52, 51] [True, False, False, False, False, True, True]\n",
      "[38, 35, 34, 33, 30, 29, 27] [True, False, True, False, False, True, True]\n",
      "[60, 61, 62, 64, 66, 68, 69] [True, True, True, False, False, True, True]\n",
      "[75, 74, 71, 69, 67] [True, False, False, False, True]\n",
      "[37, 35, 34, 33, 32] [True, True, True, True, True]\n",
      "[37, 38, 40, 42, 45, 48, 50] [True, True, False, False, False, False, True]\n",
      "[76, 77, 80, 82, 84] [True, False, False, False, True]\n",
      "[58, 61, 63, 64, 65, 67, 69] [True, False, True, True, True, False, True]\n",
      "[83, 80, 78, 76, 75] [True, False, False, True, True]\n",
      "[11, 8, 7, 6, 3, 2] [True, False, True, False, False, True]\n",
      "[55, 58, 59, 61, 63, 65, 66, 69] [True, False, True, False, False, True, False, True]\n",
      "[77, 79, 80, 81, 83] [True, True, True, True, True]\n",
      "[28, 30, 33, 34, 35, 36, 39] [True, False, False, True, True, False, True]\n",
      "[78, 76, 74, 72, 71] [True, False, False, True, True]\n",
      "[85, 88, 90, 91, 94] [True, False, True, False, True]\n",
      "[46, 44, 41, 40, 38, 36, 33] [True, False, False, True, False, False, True]\n",
      "[32, 35, 37, 40, 41, 43, 46, 49] [True, False, False, False, True, False, False, True]\n",
      "[37, 38, 41, 42, 43] [True, False, False, True, True]\n",
      "[30, 33, 34, 36, 37, 39, 40, 41] [True, False, True, True, True, True, True, True]\n",
      "[35, 32, 29, 26, 23, 22] [True, False, False, False, False, True]\n",
      "[85, 86, 87, 89, 90, 93, 95] [True, True, True, True, False, False, True]\n",
      "[82, 83, 84, 86, 88, 90] [True, True, True, False, False, True]\n",
      "[25, 24, 22, 21, 19, 17] [True, True, True, True, False, True]\n",
      "[74, 71, 68, 67, 66, 63] [True, False, False, True, False, True]\n",
      "[27, 29, 30, 31, 32, 34, 35, 37] [True, True, True, True, True, True, True, True]\n",
      "[16, 19, 21, 23, 26, 28, 31] [True, False, False, False, False, False, True]\n",
      "[76, 77, 79, 80, 83] [True, True, True, False, True]\n",
      "[86, 84, 82, 80, 78] [True, False, False, False, True]\n",
      "[31, 32, 35, 37, 39, 41, 43, 45] [True, False, False, False, False, False, False, True]\n",
      "[95, 92, 90, 87, 84, 81, 79, 77] [True, False, False, False, False, False, False, True]\n",
      "[34, 31, 28, 27, 26, 23, 20, 18] [True, False, False, True, False, False, False, True]\n",
      "[9, 8, 5, 3, 1] [True, False, False, False, True]\n",
      "[55, 52, 51, 50, 47, 44, 41, 39] [True, False, True, False, False, False, False, True]\n",
      "[10, 12, 15, 18, 19] [True, False, False, False, True]\n",
      "[21, 20, 17, 16, 13, 10] [True, False, False, False, False, True]\n",
      "[50, 53, 56, 58, 61, 63, 66, 69] [True, False, False, False, False, False, False, True]\n",
      "[96, 95, 94, 91, 88, 87] [True, True, False, False, False, True]\n",
      "[71, 69, 67, 65, 64] [True, False, False, True, True]\n",
      "[28, 29, 31, 33, 35] [True, True, False, False, True]\n",
      "[13, 15, 18, 19, 22] [True, False, False, False, True]\n",
      "[71, 68, 66, 63, 62, 61, 58] [True, False, False, False, True, False, True]\n",
      "[57, 54, 51, 50, 47, 45, 44, 42] [True, False, False, False, False, True, True, True]\n",
      "[84, 81, 79, 77, 76, 73, 71, 69] [True, False, False, True, False, False, False, True]\n",
      "[40, 43, 44, 46, 48] [True, False, True, False, True]\n",
      "[17, 20, 22, 24, 25, 26] [True, False, False, True, True, True]\n",
      "[31, 33, 36, 38, 41, 44, 47, 49] [True, False, False, False, False, False, False, True]\n",
      "[13, 16, 19, 20, 22, 25, 28, 30] [True, False, False, True, False, False, False, True]\n",
      "[71, 69, 68, 67, 65, 63] [True, True, True, True, False, True]\n",
      "[49, 52, 54, 57, 60, 63, 66] [True, False, False, False, False, False, True]\n",
      "[63, 61, 59, 57, 56, 55] [True, False, False, True, True, True]\n",
      "[87, 90, 93, 96, 97, 98] [True, False, False, False, True, True]\n",
      "[75, 77, 78, 80, 82, 85] [True, True, True, False, False, True]\n",
      "[19, 20, 22, 24, 27] [True, True, False, False, True]\n",
      "[42, 43, 46, 47, 49, 52] [True, False, False, True, False, True]\n",
      "[9, 6, 5, 3, 2, 1] [True, False, True, True, True, True]\n",
      "[77, 74, 71, 68, 65, 64, 63, 62] [True, False, False, False, False, True, True, True]\n",
      "[15, 13, 12, 10, 7] [True, True, True, False, True]\n",
      "[20, 18, 15, 14, 12, 11, 9] [True, False, False, True, True, True, True]\n",
      "[68, 66, 64, 61, 60, 58] [True, False, False, False, True, True]\n",
      "[3, 5, 8, 11, 12, 14, 16] [True, False, False, False, True, False, True]\n",
      "[26, 24, 23, 20, 17, 15, 13] [True, True, False, False, False, False, True]\n",
      "[49, 51, 53, 54, 57, 58] [True, False, True, False, False, True]\n",
      "[15, 16, 19, 21, 23, 25, 26, 29] [True, False, False, False, False, True, False, True]\n",
      "[44, 47, 48, 51, 52, 54, 55, 56] [True, False, False, False, True, True, True, True]\n",
      "[72, 74, 76, 77, 79, 80, 83] [True, False, True, True, True, False, True]\n",
      "[13, 12, 10, 8, 7, 4, 3] [True, True, False, True, False, False, True]\n",
      "[5, 7, 9, 11, 12] [True, False, False, True, True]\n",
      "[65, 62, 60, 57, 54, 52, 50, 47] [True, False, False, False, False, False, False, True]\n",
      "[43, 45, 46, 49, 50, 51, 53, 56] [True, True, False, False, True, True, False, True]\n",
      "[88, 90, 92, 94, 96] [True, False, False, False, True]\n",
      "[70, 71, 74, 77, 78, 81, 82] [True, False, False, False, False, False, True]\n",
      "[11, 10, 9, 6, 3, 2] [True, True, False, False, False, True]\n",
      "[51, 53, 56, 59, 61, 62, 64, 66] [True, False, False, False, True, True, False, True]\n",
      "[24, 25, 27, 30, 33] [True, True, False, False, True]\n",
      "[18, 15, 14, 12, 11, 10, 8, 6] [True, False, True, True, True, True, False, True]\n",
      "[31, 34, 35, 36, 39, 42, 43, 46] [True, False, True, False, False, False, False, True]\n",
      "[82, 85, 88, 89, 91, 94, 95] [True, False, False, True, False, False, True]\n",
      "[67, 69, 72, 73, 74] [True, False, False, True, True]\n",
      "[5, 8, 10, 11, 12, 13] [True, False, True, True, True, True]\n",
      "[45, 43, 40, 37, 36, 34, 33] [True, False, False, False, True, True, True]\n",
      "[50, 52, 53, 54, 55] [True, True, True, True, True]\n",
      "[13, 12, 11, 8, 7, 5] [True, True, False, False, True, True]\n",
      "[24, 26, 29, 32, 35, 37] [True, False, False, False, False, True]\n",
      "[40, 37, 34, 31, 28] [True, False, False, False, True]\n",
      "[41, 44, 47, 50, 51] [True, False, False, False, True]\n",
      "[49, 52, 55, 58, 60, 62, 63] [True, False, False, False, False, True, True]\n",
      "[57, 56, 54, 53, 52, 50, 49] [True, True, True, True, True, True, True]\n",
      "[10, 7, 4, 3, 2] [True, False, False, True, True]\n",
      "[14, 11, 9, 8, 6, 4, 3] [True, False, True, True, False, True, True]\n",
      "[44, 42, 39, 37, 36, 34] [True, False, False, True, True, True]\n",
      "[51, 53, 54, 57, 58, 60, 62] [True, True, False, False, True, False, True]\n",
      "[53, 52, 50, 48, 46, 44, 43, 41] [True, True, False, False, False, True, True, True]\n",
      "[46, 44, 43, 42, 40] [True, True, True, True, True]\n",
      "[68, 65, 63, 62, 59, 57, 55] [True, False, True, False, False, False, True]\n",
      "[49, 51, 52, 54, 56, 57] [True, True, True, False, True, True]\n",
      "[52, 50, 48, 47, 45, 44, 41] [True, False, True, True, True, False, True]\n",
      "[73, 72, 69, 66, 65] [True, False, False, False, True]\n",
      "[79, 82, 84, 87, 89, 91, 94] [True, False, False, False, False, False, True]\n",
      "[39, 41, 42, 44, 45, 46, 49, 50] [True, True, True, True, True, False, False, True]\n",
      "[85, 82, 79, 77, 76] [True, False, False, True, True]\n",
      "[47, 45, 42, 41, 40, 39, 36, 34] [True, False, False, True, True, False, False, True]\n",
      "[35, 33, 32, 30, 29, 28, 27] [True, True, True, True, True, True, True]\n",
      "[66, 69, 70, 72, 73, 74, 76, 77] [True, False, True, True, True, True, True, True]\n",
      "[29, 26, 25, 23, 21] [True, False, True, False, True]\n",
      "[87, 86, 83, 82, 80, 77, 74, 71] [True, False, False, True, False, False, False, True]\n",
      "[51, 54, 57, 60, 61, 63, 66] [True, False, False, False, True, False, True]\n",
      "[95, 94, 91, 89, 87, 84, 82, 80] [True, False, False, False, False, False, False, True]\n",
      "[66, 64, 61, 59, 56, 54, 51, 48] [True, False, False, False, False, False, False, True]\n",
      "[49, 51, 54, 56, 58] [True, False, False, False, True]\n",
      "[34, 36, 37, 38, 39, 41] [True, True, True, True, True, True]\n",
      "[20, 23, 25, 28, 29, 30, 32, 34] [True, False, False, False, True, True, False, True]\n",
      "[36, 34, 32, 29, 27, 26, 25, 22] [True, False, False, False, True, True, False, True]\n",
      "[27, 24, 22, 21, 18, 15, 12] [True, False, True, False, False, False, True]\n",
      "[54, 55, 56, 58, 60, 62, 63, 65] [True, True, True, False, False, True, True, True]\n",
      "[88, 87, 84, 82, 79, 76, 73] [True, False, False, False, False, False, True]\n",
      "[49, 51, 54, 57, 59, 60, 62] [True, False, False, False, True, True, True]\n",
      "[65, 64, 61, 58, 57, 55, 52] [True, False, False, False, True, False, True]\n",
      "[18, 19, 20, 22, 24, 27, 30] [True, True, True, False, False, False, True]\n",
      "[44, 42, 39, 36, 33] [True, False, False, False, True]\n",
      "[80, 81, 83, 85, 88, 89, 90] [True, True, False, False, False, True, True]\n",
      "[72, 70, 67, 64, 62, 60] [True, False, False, False, False, True]\n",
      "[45, 47, 50, 52, 54, 57, 59, 62] [True, False, False, False, False, False, False, True]\n",
      "[19, 22, 23, 26, 29, 30, 33, 34] [True, False, False, False, False, False, False, True]\n",
      "[69, 71, 72, 75, 76, 77, 80] [True, True, False, False, True, False, True]\n",
      "[36, 33, 31, 30, 29, 28, 26, 25] [True, False, True, True, True, True, True, True]\n",
      "[19, 16, 13, 11, 9, 7] [True, False, False, False, False, True]\n",
      "[34, 32, 30, 27, 24, 23] [True, False, False, False, False, True]\n",
      "[23, 20, 18, 17, 14, 11] [True, False, True, False, False, True]\n",
      "[90, 91, 94, 95, 98] [True, False, False, False, True]\n",
      "[24, 23, 21, 20, 17, 14] [True, True, True, False, False, True]\n",
      "[4, 7, 9, 11, 14, 17] [True, False, False, False, False, True]\n",
      "[9, 10, 12, 13, 15, 18] [True, True, True, True, False, True]\n",
      "[52, 50, 49, 47, 44, 42, 39] [True, True, True, False, False, False, True]\n",
      "[20, 23, 24, 26, 27, 28, 29, 31] [True, False, True, True, True, True, True, True]\n",
      "[68, 65, 62, 59, 56, 54, 53, 52] [True, False, False, False, False, True, True, True]\n",
      "[76, 73, 70, 67, 64, 61, 59] [True, False, False, False, False, False, True]\n",
      "[99, 98, 97, 94, 93, 92, 90, 89] [True, True, False, False, True, True, True, True]\n",
      "[32, 29, 26, 25, 24] [True, False, False, True, True]\n",
      "[79, 81, 83, 86, 89, 90, 93, 95] [True, False, False, False, False, False, False, True]\n",
      "[50, 48, 46, 45, 43, 41, 38] [True, False, True, True, False, False, True]\n",
      "[38, 39, 41, 43, 46, 48] [True, True, False, False, False, True]\n",
      "[4, 6, 8, 10, 13, 14] [True, False, False, False, False, True]\n",
      "[20, 17, 16, 15, 12, 10, 8] [True, False, True, False, False, False, True]\n",
      "[35, 32, 31, 30, 27, 24] [True, False, True, False, False, True]\n",
      "[71, 68, 66, 63, 61, 60, 57] [True, False, False, False, True, False, True]\n",
      "[69, 72, 74, 77, 79] [True, False, False, False, True]\n",
      "[46, 49, 52, 55, 57, 59, 62] [True, False, False, False, False, False, True]\n",
      "[24, 22, 21, 19, 18] [True, True, True, True, True]\n",
      "[31, 29, 28, 26, 24] [True, True, True, False, True]\n",
      "[58, 60, 61, 64, 66] [True, True, False, False, True]\n",
      "[76, 75, 74, 73, 72, 69, 67, 64] [True, True, True, True, False, False, False, True]\n",
      "[36, 39, 41, 42, 43, 46, 47, 50] [True, False, True, True, False, False, False, True]\n",
      "[14, 11, 9, 7, 6, 3] [True, False, False, True, False, True]\n",
      "[2, 3, 4, 5, 8, 10] [True, True, True, False, False, True]\n",
      "[73, 72, 69, 67, 65, 63, 61, 59] [True, False, False, False, False, False, False, True]\n",
      "[31, 29, 27, 25, 22, 21, 19] [True, False, False, False, False, True, True]\n",
      "[67, 65, 62, 60, 59, 57, 55] [True, False, False, True, True, False, True]\n",
      "[32, 35, 37, 38, 39] [True, False, True, True, True]\n",
      "[24, 23, 20, 17, 16, 15, 13, 12] [True, False, False, False, True, True, True, True]\n",
      "[60, 61, 62, 65, 66] [True, True, False, False, True]\n",
      "[51, 52, 54, 55, 58] [True, True, True, False, True]\n",
      "[75, 72, 70, 68, 66, 64, 62] [True, False, False, False, False, False, True]\n",
      "[22, 25, 26, 27, 28, 30, 32, 35] [True, False, True, True, True, False, False, True]\n",
      "[95, 94, 91, 88, 86, 84] [True, False, False, False, False, True]\n",
      "[55, 57, 59, 60, 63, 64] [True, False, True, False, False, True]\n",
      "[70, 69, 68, 66, 63, 62] [True, True, True, False, False, True]\n",
      "[21, 22, 25, 26, 28, 31, 33] [True, False, False, True, False, False, True]\n",
      "[11, 14, 17, 19, 22, 23, 26] [True, False, False, False, False, False, True]\n",
      "[72, 75, 77, 79, 80, 82, 85] [True, False, False, True, True, False, True]\n",
      "[32, 29, 26, 24, 23] [True, False, False, True, True]\n",
      "[38, 39, 40, 41, 42, 43, 46, 49] [True, True, True, True, True, False, False, True]\n",
      "[26, 24, 21, 20, 17, 16, 14, 13] [True, False, False, False, False, True, True, True]\n",
      "[65, 64, 63, 62, 60] [True, True, True, True, True]\n",
      "[72, 69, 68, 67, 64, 63, 62] [True, False, True, False, False, True, True]\n",
      "[32, 34, 37, 38, 41] [True, False, False, False, True]\n",
      "[15, 12, 11, 8, 7, 6, 4, 3] [True, False, False, False, True, True, True, True]\n",
      "[26, 28, 31, 33, 34, 36, 38, 41] [True, False, False, True, True, False, False, True]\n",
      "[75, 76, 79, 81, 84, 85, 86] [True, False, False, False, False, True, True]\n",
      "[69, 72, 75, 76, 79, 81, 84] [True, False, False, False, False, False, True]\n",
      "[51, 53, 54, 56, 59, 61] [True, True, True, False, False, True]\n",
      "[88, 91, 93, 95, 97, 98] [True, False, False, False, True, True]\n",
      "[57, 56, 53, 51, 49] [True, False, False, False, True]\n",
      "[62, 59, 57, 56, 53, 51, 50, 47] [True, False, True, False, False, True, False, True]\n",
      "[84, 87, 89, 90, 91, 94] [True, False, True, True, False, True]\n",
      "[69, 72, 74, 77, 78, 80, 81] [True, False, False, False, True, True, True]\n",
      "[15, 17, 19, 22, 23, 25, 26] [True, False, False, False, True, True, True]\n",
      "[6, 8, 11, 12, 13, 16] [True, False, False, True, False, True]\n",
      "[44, 42, 40, 39, 37, 35, 34] [True, False, True, True, False, True, True]\n",
      "[3, 6, 9, 10, 11, 12] [True, False, False, True, True, True]\n",
      "[20, 19, 18, 17, 14, 11, 10, 9] [True, True, True, False, False, False, True, True]\n",
      "[26, 23, 21, 19, 16] [True, False, False, False, True]\n",
      "[90, 91, 93, 94, 97] [True, True, True, False, True]\n",
      "[74, 72, 70, 68, 67, 65, 63] [True, False, False, True, True, False, True]\n",
      "[61, 60, 57, 54, 52] [True, False, False, False, True]\n",
      "[69, 66, 65, 63, 62] [True, False, True, True, True]\n",
      "[30, 29, 27, 26, 23, 20, 18] [True, True, True, False, False, False, True]\n",
      "[27, 28, 31, 32, 35] [True, False, False, False, True]\n",
      "[51, 52, 53, 56, 59, 62, 65, 68] [True, True, False, False, False, False, False, True]\n",
      "[85, 82, 81, 80, 78, 77, 74, 73] [True, False, True, True, True, False, False, True]\n",
      "[37, 34, 33, 32, 30, 29, 28] [True, False, True, True, True, True, True]\n",
      "[86, 87, 88, 91, 92, 95, 96] [True, True, False, False, False, False, True]\n",
      "[72, 71, 69, 68, 66, 64] [True, True, True, True, False, True]\n",
      "[43, 46, 47, 49, 52, 53, 56, 59] [True, False, True, False, False, False, False, True]\n",
      "[87, 84, 83, 81, 78, 76, 75, 73] [True, False, True, False, False, True, True, True]\n",
      "[2, 5, 8, 10, 13, 16, 19, 22] [True, False, False, False, False, False, False, True]\n",
      "[75, 74, 71, 69, 67, 64, 61, 58] [True, False, False, False, False, False, False, True]\n",
      "[62, 63, 66, 69, 71] [True, False, False, False, True]\n",
      "[23, 21, 18, 16, 13] [True, False, False, False, True]\n",
      "[75, 72, 71, 68, 66, 63, 61, 58] [True, False, False, False, False, False, False, True]\n",
      "[61, 58, 55, 52, 50, 48, 45] [True, False, False, False, False, False, True]\n",
      "[13, 10, 7, 5, 2, 1] [True, False, False, False, False, True]\n",
      "[81, 82, 83, 84, 86, 89, 92, 94] [True, True, True, True, False, False, False, True]\n",
      "[46, 43, 42, 41, 38, 37] [True, False, True, False, False, True]\n",
      "[18, 16, 15, 14, 11, 9] [True, True, True, False, False, True]\n",
      "[35, 33, 31, 30, 29] [True, False, True, True, True]\n",
      "[7, 9, 10, 11, 13, 15] [True, True, True, True, False, True]\n",
      "[33, 35, 38, 41, 42, 45, 46, 49] [True, False, False, False, False, False, False, True]\n",
      "[85, 87, 88, 90, 92] [True, True, True, False, True]\n",
      "[71, 68, 66, 65, 64] [True, False, True, True, True]\n",
      "[21, 23, 25, 28, 29, 32, 33, 35] [True, False, False, False, False, False, True, True]\n",
      "[28, 25, 23, 22, 20, 17] [True, False, True, True, False, True]\n",
      "[16, 15, 12, 11, 8, 6, 5, 4] [True, False, False, False, False, True, True, True]\n",
      "[97, 96, 93, 92, 89, 86, 85, 82] [True, False, False, False, False, False, False, True]\n",
      "[28, 26, 23, 22, 21, 20, 18, 15] [True, False, False, True, True, True, False, True]\n",
      "[44, 45, 46, 47, 48] [True, True, True, True, True]\n",
      "[45, 43, 42, 40, 39, 38, 37] [True, True, True, True, True, True, True]\n",
      "[39, 40, 41, 44, 47, 49] [True, True, False, False, False, True]\n",
      "[58, 57, 56, 54, 52] [True, True, True, False, True]\n",
      "[75, 76, 77, 78, 79, 82, 85] [True, True, True, True, False, False, True]\n",
      "[57, 60, 62, 65, 68] [True, False, False, False, True]\n",
      "[22, 23, 24, 26, 28, 30, 32, 35] [True, True, True, False, False, False, False, True]\n",
      "[51, 52, 53, 55, 57, 58, 60, 63] [True, True, True, False, True, True, False, True]\n",
      "[57, 54, 51, 48, 45, 42, 41, 39] [True, False, False, False, False, False, True, True]\n",
      "[84, 83, 82, 81, 78, 75, 74, 73] [True, True, True, False, False, False, True, True]\n",
      "[99, 98, 95, 93, 92, 90] [True, False, False, True, True, True]\n",
      "[42, 39, 36, 33, 31, 29, 27] [True, False, False, False, False, False, True]\n",
      "[94, 92, 89, 87, 84, 81, 80, 79] [True, False, False, False, False, False, True, True]\n",
      "[23, 26, 28, 30, 31, 32, 33, 34] [True, False, False, True, True, True, True, True]\n",
      "[24, 23, 22, 19, 18, 16, 14, 11] [True, True, False, False, True, False, False, True]\n",
      "[64, 62, 61, 58, 56, 53, 51] [True, True, False, False, False, False, True]\n",
      "[35, 38, 40, 42, 43] [True, False, False, True, True]\n",
      "[43, 46, 47, 48, 50, 53, 55, 58] [True, False, True, True, False, False, False, True]\n",
      "[59, 57, 56, 54, 53, 51] [True, True, True, True, True, True]\n",
      "[40, 42, 43, 45, 48, 50, 53] [True, True, True, False, False, False, True]\n",
      "[97, 96, 94, 92, 89, 87] [True, True, False, False, False, True]\n",
      "[74, 72, 69, 66, 63] [True, False, False, False, True]\n",
      "[64, 66, 68, 69, 72, 75, 78, 81] [True, False, True, False, False, False, False, True]\n",
      "[41, 44, 45, 46, 48, 50, 53, 55] [True, False, True, True, False, False, False, True]\n",
      "[54, 53, 51, 49, 47, 44, 43, 40] [True, True, False, False, False, False, False, True]\n",
      "[20, 18, 17, 14, 12, 11] [True, True, False, False, True, True]\n",
      "[10, 9, 8, 5, 4, 1] [True, True, False, False, False, True]\n",
      "[74, 73, 71, 70, 67, 66] [True, True, True, False, False, True]\n",
      "[26, 24, 23, 21, 19, 16, 15] [True, True, True, False, False, False, True]\n",
      "[86, 87, 90, 92, 94] [True, False, False, False, True]\n",
      "[87, 84, 82, 79, 78] [True, False, False, False, True]\n",
      "[8, 6, 4, 2, 1] [True, False, False, True, True]\n",
      "[57, 60, 61, 64, 67] [True, False, False, False, True]\n",
      "[19, 22, 24, 26, 28] [True, False, False, False, True]\n",
      "[2, 5, 8, 11, 14, 15, 18] [True, False, False, False, False, False, True]\n",
      "[77, 74, 71, 68, 66] [True, False, False, False, True]\n",
      "[2, 3, 4, 5, 6, 9, 12, 14] [True, True, True, True, False, False, False, True]\n",
      "[92, 90, 88, 86, 84, 81, 79] [True, False, False, False, False, False, True]\n",
      "[12, 9, 7, 6, 5] [True, False, True, True, True]\n",
      "[9, 12, 13, 14, 16] [True, False, True, True, True]\n",
      "[58, 60, 61, 64, 66, 68, 69, 72] [True, True, False, False, False, True, False, True]\n",
      "[84, 86, 87, 89, 90] [True, True, True, True, True]\n",
      "[83, 85, 88, 89, 90, 93, 95] [True, False, False, True, False, False, True]\n",
      "[89, 86, 84, 81, 80, 77] [True, False, False, False, False, True]\n",
      "[80, 83, 84, 85, 87] [True, False, True, True, True]\n",
      "[65, 62, 60, 57, 56] [True, False, False, False, True]\n",
      "[70, 68, 67, 64, 62, 59, 56] [True, True, False, False, False, False, True]\n",
      "[54, 51, 49, 47, 44, 42, 40, 37] [True, False, False, False, False, False, False, True]\n",
      "[16, 15, 13, 11, 8] [True, True, False, False, True]\n",
      "[66, 65, 62, 60, 58, 56] [True, False, False, False, False, True]\n",
      "[71, 70, 69, 66, 64, 61] [True, True, False, False, False, True]\n",
      "[55, 57, 59, 60, 62] [True, False, True, True, True]\n",
      "[7, 9, 12, 15, 18] [True, False, False, False, True]\n",
      "[52, 50, 47, 44, 41, 38, 36, 34] [True, False, False, False, False, False, False, True]\n",
      "[11, 14, 17, 19, 21] [True, False, False, False, True]\n",
      "[27, 25, 22, 21, 19, 17, 15, 14] [True, False, False, True, False, False, True, True]\n",
      "[68, 65, 63, 60, 57, 55, 54] [True, False, False, False, False, True, True]\n",
      "[58, 57, 56, 53, 51, 50] [True, True, False, False, True, True]\n",
      "[62, 60, 58, 57, 55] [True, False, True, True, True]\n",
      "[52, 53, 56, 57, 58, 59, 60] [True, False, False, True, True, True, True]\n",
      "[67, 70, 71, 72, 74, 76, 77, 79] [True, False, True, True, False, True, True, True]\n",
      "[79, 76, 73, 72, 69, 67, 65] [True, False, False, False, False, False, True]\n",
      "[12, 15, 16, 19, 21, 24, 26] [True, False, False, False, False, False, True]\n",
      "[69, 66, 64, 63, 61] [True, False, True, True, True]\n",
      "[50, 48, 47, 45, 44, 42, 40, 38] [True, True, True, True, True, False, False, True]\n",
      "[21, 19, 17, 15, 12, 11] [True, False, False, False, False, True]\n",
      "[32, 30, 27, 26, 25, 23, 21, 19] [True, False, False, True, True, False, False, True]\n",
      "[37, 35, 32, 30, 29, 27] [True, False, False, True, True, True]\n",
      "[41, 43, 46, 49, 51, 52, 53, 55] [True, False, False, False, True, True, True, True]\n",
      "[20, 23, 25, 27, 30, 32] [True, False, False, False, False, True]\n",
      "[87, 85, 84, 82, 80, 78, 75, 74] [True, True, True, False, False, False, False, True]\n",
      "[26, 28, 30, 31, 34, 37, 39, 42] [True, False, True, False, False, False, False, True]\n",
      "[82, 81, 80, 77, 75] [True, True, False, False, True]\n",
      "[35, 33, 30, 27, 25, 24, 21, 20] [True, False, False, False, True, False, False, True]\n",
      "[45, 46, 49, 50, 53] [True, False, False, False, True]\n",
      "[59, 57, 55, 52, 49, 48, 47] [True, False, False, False, False, True, True]\n",
      "[92, 89, 87, 86, 83, 80, 77, 75] [True, False, True, False, False, False, False, True]\n",
      "[94, 91, 88, 86, 85, 83] [True, False, False, True, True, True]\n",
      "[50, 49, 47, 45, 42, 39, 38, 36] [True, True, False, False, False, False, True, True]\n",
      "[65, 62, 60, 57, 55, 54, 52] [True, False, False, False, True, True, True]\n",
      "[63, 64, 65, 68, 70, 72, 73, 76] [True, True, False, False, False, True, False, True]\n",
      "[27, 24, 22, 20, 17, 14, 13] [True, False, False, False, False, False, True]\n",
      "[28, 25, 23, 21, 20] [True, False, False, True, True]\n",
      "[28, 31, 34, 35, 38, 41, 44, 46] [True, False, False, False, False, False, False, True]\n",
      "[44, 46, 48, 51, 53, 54, 57, 60] [True, False, False, False, True, False, False, True]\n",
      "[24, 21, 19, 18, 15, 13] [True, False, True, False, False, True]\n",
      "[67, 65, 62, 60, 57] [True, False, False, False, True]\n",
      "[10, 8, 7, 4, 2] [True, True, False, False, True]\n",
      "[50, 49, 47, 45, 44] [True, True, False, True, True]\n",
      "[62, 64, 67, 70, 71, 72] [True, False, False, False, True, True]\n",
      "[64, 67, 69, 72, 73, 75, 77] [True, False, False, False, True, False, True]\n",
      "[23, 26, 27, 28, 29, 32] [True, False, True, True, False, True]\n",
      "[30, 27, 24, 23, 21, 18, 16] [True, False, False, True, False, False, True]\n",
      "[87, 90, 91, 92, 93, 94, 96] [True, False, True, True, True, True, True]\n",
      "[5, 7, 10, 13, 15] [True, False, False, False, True]\n",
      "[38, 35, 32, 30, 28, 27, 26] [True, False, False, False, True, True, True]\n",
      "[74, 77, 79, 80, 82] [True, False, True, True, True]\n",
      "[66, 64, 63, 60, 57, 56, 55] [True, True, False, False, False, True, True]\n",
      "[87, 84, 83, 82, 81, 78, 77] [True, False, True, True, False, False, True]\n",
      "[85, 87, 90, 93, 95, 96, 98] [True, False, False, False, True, True, True]\n",
      "[20, 22, 25, 27, 29, 31] [True, False, False, False, False, True]\n",
      "[40, 38, 35, 32, 31, 30, 29, 27] [True, False, False, False, True, True, True, True]\n",
      "[14, 11, 9, 6, 3] [True, False, False, False, True]\n",
      "[87, 85, 83, 80, 77, 74, 73, 70] [True, False, False, False, False, False, False, True]\n",
      "[95, 92, 91, 88, 85, 83, 82, 79] [True, False, False, False, False, True, False, True]\n",
      "[41, 42, 44, 45, 46, 48, 51, 53] [True, True, True, True, True, False, False, True]\n",
      "[40, 39, 36, 33, 32, 31, 29] [True, False, False, False, True, True, True]\n",
      "[27, 26, 23, 22, 21] [True, False, False, True, True]\n",
      "[89, 87, 86, 83, 82, 80, 77] [True, True, False, False, True, False, True]\n",
      "[66, 63, 62, 61, 60] [True, False, True, True, True]\n",
      "[29, 27, 26, 23, 21, 18] [True, True, False, False, False, True]\n",
      "[24, 26, 29, 31, 32, 34, 37, 39] [True, False, False, True, True, False, False, True]\n",
      "[29, 31, 33, 36, 38, 39, 42, 43] [True, False, False, False, True, False, False, True]\n",
      "[15, 18, 19, 22, 25, 28, 31, 32] [True, False, False, False, False, False, False, True]\n",
      "[16, 17, 20, 22, 23, 25, 27, 30] [True, False, False, True, True, False, False, True]\n",
      "[33, 30, 29, 26, 23, 21] [True, False, False, False, False, True]\n",
      "[57, 59, 62, 63, 65] [True, False, False, True, True]\n",
      "[17, 14, 13, 12, 10, 7, 4] [True, False, True, True, False, False, True]\n",
      "[40, 37, 36, 33, 31, 28, 25, 24] [True, False, False, False, False, False, False, True]\n",
      "[70, 69, 67, 66, 63, 61] [True, True, True, False, False, True]\n",
      "[47, 48, 51, 52, 55] [True, False, False, False, True]\n",
      "[10, 9, 6, 4, 2] [True, False, False, False, True]\n",
      "[63, 65, 66, 69, 72, 74, 77, 80] [True, True, False, False, False, False, False, True]\n",
      "[30, 29, 26, 23, 20, 17, 16, 14] [True, False, False, False, False, False, True, True]\n",
      "[91, 88, 85, 84, 81, 78, 75, 72] [True, False, False, False, False, False, False, True]\n",
      "[80, 78, 76, 74, 72] [True, False, False, False, True]\n",
      "[94, 96, 97, 98, 99] [True, True, True, True, True]\n",
      "[35, 33, 32, 29, 27, 26, 24] [True, True, False, False, True, True, True]\n",
      "[11, 14, 17, 19, 20, 22, 25, 28] [True, False, False, True, True, False, False, True]\n",
      "[58, 60, 63, 64, 66, 67] [True, False, False, True, True, True]\n",
      "[83, 80, 78, 76, 75, 73] [True, False, False, True, True, True]\n",
      "[54, 52, 49, 48, 47, 45] [True, False, False, True, True, True]\n",
      "[57, 56, 54, 52, 51, 49, 47] [True, True, False, True, True, False, True]\n",
      "[58, 60, 62, 65, 68] [True, False, False, False, True]\n",
      "[46, 44, 41, 39, 37] [True, False, False, False, True]\n",
      "[16, 17, 18, 19, 20] [True, True, True, True, True]\n",
      "[77, 78, 79, 82, 85] [True, True, False, False, True]\n",
      "[49, 47, 44, 43, 41] [True, False, False, True, True]\n",
      "[93, 94, 95, 97, 98] [True, True, True, True, True]\n",
      "[87, 86, 83, 81, 80, 78, 77, 76] [True, False, False, True, True, True, True, True]\n",
      "[50, 51, 53, 55, 58] [True, True, False, False, True]\n",
      "[97, 94, 91, 88, 87, 86] [True, False, False, False, True, True]\n",
      "[2, 5, 8, 11, 13, 14, 15] [True, False, False, False, True, True, True]\n",
      "[20, 21, 23, 26, 28] [True, True, False, False, True]\n",
      "[95, 94, 91, 89, 87, 86, 84] [True, False, False, False, True, True, True]\n",
      "[25, 22, 20, 18, 17, 14, 12] [True, False, False, True, False, False, True]\n",
      "[70, 67, 65, 62, 59, 57, 56] [True, False, False, False, False, True, True]\n",
      "[71, 72, 75, 76, 79, 81, 82] [True, False, False, False, False, True, True]\n",
      "[15, 18, 21, 22, 25, 27] [True, False, False, False, False, True]\n",
      "[39, 41, 42, 43, 46, 48, 51] [True, True, True, False, False, False, True]\n",
      "[46, 48, 51, 52, 53, 55] [True, False, False, True, True, True]\n",
      "[35, 38, 40, 43, 45] [True, False, False, False, True]\n",
      "[56, 58, 60, 61, 63, 66, 69] [True, False, True, True, False, False, True]\n",
      "[37, 35, 33, 32, 31, 29, 26] [True, False, True, True, True, False, True]\n",
      "[40, 43, 44, 47, 49, 51] [True, False, False, False, False, True]\n",
      "[64, 62, 61, 58, 56] [True, True, False, False, True]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "465"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def good_checker(sequence):\n",
    "    sequence_copy = sequence[1:-1]\n",
    "    sequence_copy = np.append(sequence_copy, sequence[-1])\n",
    "    sequence_copy = np.append(sequence_copy, sequence[0])\n",
    "    diff = sequence - sequence_copy\n",
    "    diff = np.abs(diff[0:-1])\n",
    "    if (np.max(diff) < 4) and (np.min(diff) > 0):\n",
    "        #print(sequence)\n",
    "        # print(sequence_copy)\n",
    "        # print(diff)\n",
    "        ascending = np.sort(sequence)\n",
    "        descending = np.sort(sequence)[::-1]\n",
    "        if np.all(ascending == sequence) or np.all(descending == sequence):\n",
    "            # count += 1\n",
    "            # print(ascending, descending, sequence, \"\\n\")\n",
    "            return(True)\n",
    "        else:   \n",
    "            return(False)\n",
    "    else:\n",
    "        return(False)\n",
    "        \n",
    "\n",
    "count = 0\n",
    "for element in real_data:\n",
    "    sequence = list(np.array(element.split(' '), dtype=int))\n",
    "    check = []\n",
    "    for index in range (0, len(sequence)):\n",
    "        temp = sequence.copy()\n",
    "        temp.pop(index)\n",
    "        check.append(good_checker(np.array(temp)))\n",
    "    print(sequence, check)\n",
    "    check = np.array(np.array(check), dtype=int)\n",
    "    if np.sum(check) >= 1:\n",
    "        count += 1\n",
    "        # print(sequence, check)\n",
    "\n",
    "#wrong 945 432\n",
    "count\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 1, 0])"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "arr = np.array([True, False, True])\n",
    "np.array(~arr, dtype=int)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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