204 lines
188 KiB
Plaintext
204 lines
188 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"--- Day 2: Red-Nosed Reports ---\n",
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"Fortunately, the first location The Historians want to search isn't a long walk from the Chief Historian's office.\n",
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"\n",
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"While the Red-Nosed Reindeer nuclear fusion/fission plant appears to contain no sign of the Chief Historian, the engineers there run up to you as soon as they see you. Apparently, they still talk about the time Rudolph was saved through molecular synthesis from a single electron.\n",
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"\n",
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"They're quick to add that - since you're already here - they'd really appreciate your help analyzing some unusual data from the Red-Nosed reactor. You turn to check if The Historians are waiting for you, but they seem to have already divided into groups that are currently searching every corner of the facility. You offer to help with the unusual data.\n",
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"\n",
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"The unusual data (your puzzle input) consists of many reports, one report per line. Each report is a list of numbers called levels that are separated by spaces. For example:\n",
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"\n",
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"7 6 4 2 1\n",
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"1 2 7 8 9\n",
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"9 7 6 2 1\n",
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"1 3 2 4 5\n",
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"8 6 4 4 1\n",
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"1 3 6 7 9\n",
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"This example data contains six reports each containing five levels.\n",
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"\n",
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"The engineers are trying to figure out which reports are safe. The Red-Nosed reactor safety systems can only tolerate levels that are either gradually increasing or gradually decreasing. So, a report only counts as safe if both of the following are true:\n",
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"\n",
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"The levels are either all increasing or all decreasing.\n",
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"Any two adjacent levels differ by at least one and at most three.\n",
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"In the example above, the reports can be found safe or unsafe by checking those rules:\n",
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"\n",
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"7 6 4 2 1: Safe because the levels are all decreasing by 1 or 2.\n",
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"1 2 7 8 9: Unsafe because 2 7 is an increase of 5.\n",
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"9 7 6 2 1: Unsafe because 6 2 is a decrease of 4.\n",
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"1 3 2 4 5: Unsafe because 1 3 is increasing but 3 2 is decreasing.\n",
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"8 6 4 4 1: Unsafe because 4 4 is neither an increase or a decrease.\n",
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"1 3 6 7 9: Safe because the levels are all increasing by 1, 2, or 3.\n",
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"So, in this example, 2 reports are safe.\n",
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"\n",
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"Analyze the unusual data from the engineers. How many reports are safe?\n",
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"\n"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 230,
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"metadata": {},
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"outputs": [],
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"source": [
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"A = []\n",
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"with open(\"input.txt\", \"r\") as file:\n",
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" lines = file.readlines()\n",
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" for i in lines:\n",
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" temp = i.split()\n",
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" A.append([int(i) for i in temp])"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 231,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"252\n"
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]
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}
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],
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"source": [
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"correct = 0\n",
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"for i in A:\n",
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" ok = True\n",
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" for j in range(len(i)-1):\n",
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" if not i[j] - i[j+1] in [1, 2, 3]:\n",
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" ok = False\n",
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" break\n",
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" if ok:\n",
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" correct += 1\n",
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" ok = True\n",
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" for j in range(len(i)-1):\n",
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" if not i[j] - i[j+1] in [-1, -2, -3]:\n",
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" ok = False\n",
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" break\n",
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" if ok:\n",
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" correct += 1\n",
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"\n",
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"print(correct)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"--- Part Two ---\n",
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"The engineers are surprised by the low number of safe reports until they realize they forgot to tell you about the Problem Dampener.\n",
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"\n",
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"The Problem Dampener is a reactor-mounted module that lets the reactor safety systems tolerate a single bad level in what would otherwise be a safe report. It's like the bad level never happened!\n",
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"\n",
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"Now, the same rules apply as before, except if removing a single level from an unsafe report would make it safe, the report instead counts as safe.\n",
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"\n",
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"More of the above example's reports are now safe:\n",
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"\n",
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"7 6 4 2 1: Safe without removing any level.\n",
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"1 2 7 8 9: Unsafe regardless of which level is removed.\n",
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"9 7 6 2 1: Unsafe regardless of which level is removed.\n",
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"1 3 2 4 5: Safe by removing the second level, 3.\n",
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"8 6 4 4 1: Safe by removing the third level, 4.\n",
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"1 3 6 7 9: Safe without removing any level.\n",
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"Thanks to the Problem Dampener, 4 reports are actually safe!\n",
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"\n",
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"Update your analysis by handling situations where the Problem Dampener can remove a single level from unsafe reports. How many reports are now safe?\n",
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"\n"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 232,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"[[[6, 8, 9, 11, 10], [8, 9, 11, 10], [6, 9, 11, 10], [6, 8, 11, 10], [6, 8, 9, 10], [6, 8, 9, 11]], [[13, 16, 19, 22, 24, 25, 25], [16, 19, 22, 24, 25, 25], [13, 19, 22, 24, 25, 25], [13, 16, 22, 24, 25, 25], [13, 16, 19, 24, 25, 25], [13, 16, 19, 22, 25, 25], [13, 16, 19, 22, 24, 25], [13, 16, 19, 22, 24, 25]], [[43, 46, 47, 48, 50, 52, 56], [46, 47, 48, 50, 52, 56], [43, 47, 48, 50, 52, 56], [43, 46, 48, 50, 52, 56], [43, 46, 47, 50, 52, 56], [43, 46, 47, 48, 52, 56], [43, 46, 47, 48, 50, 56], [43, 46, 47, 48, 50, 52]], [[55, 57, 60, 61, 64, 65, 68, 74], [57, 60, 61, 64, 65, 68, 74], [55, 60, 61, 64, 65, 68, 74], [55, 57, 61, 64, 65, 68, 74], [55, 57, 60, 64, 65, 68, 74], [55, 57, 60, 61, 65, 68, 74], [55, 57, 60, 61, 64, 68, 74], [55, 57, 60, 61, 64, 65, 74], [55, 57, 60, 61, 64, 65, 68]], [[81, 84, 86, 83, 84, 87], [84, 86, 83, 84, 87], [81, 86, 83, 84, 87], [81, 84, 83, 84, 87], [81, 84, 86, 84, 87], [81, 86, 83, 84, 87], [81, 84, 86, 83, 84]], [[45, 47, 50, 49, 46], [47, 50, 49, 46], [45, 50, 49, 46], [45, 47, 49, 46], [45, 47, 50, 46], [45, 47, 50, 49]], [[15, 16, 18, 16, 16], [16, 18, 16, 16], [15, 18, 16, 16], [15, 16, 16, 16], [15, 18, 16, 16], [15, 18, 16, 16]], [[79, 80, 81, 79, 80, 83, 85, 89], [80, 81, 79, 80, 83, 85, 89], [79, 81, 79, 80, 83, 85, 89], [79, 80, 79, 80, 83, 85, 89], [80, 81, 79, 80, 83, 85, 89], [79, 81, 79, 80, 83, 85, 89], [79, 80, 81, 79, 80, 85, 89], [79, 80, 81, 79, 80, 83, 89], [79, 80, 81, 79, 80, 83, 85]], [[70, 73, 74, 72, 77], [73, 74, 72, 77], [70, 74, 72, 77], [70, 73, 72, 77], [70, 73, 74, 77], [70, 73, 74, 72]], [[78, 80, 81, 81, 83], [80, 81, 81, 83], [78, 81, 81, 83], [78, 80, 81, 83], [78, 80, 81, 83], [78, 80, 81, 81]], [[77, 79, 82, 85, 88, 88, 89, 87], [79, 82, 85, 88, 88, 89, 87], [77, 82, 85, 88, 88, 89, 87], [77, 79, 85, 88, 88, 89, 87], [77, 79, 82, 88, 88, 89, 87], [77, 79, 82, 85, 88, 89, 87], [77, 79, 82, 85, 88, 89, 87], [77, 79, 82, 85, 88, 88, 87], [77, 79, 82, 85, 88, 88, 89]], [[74, 75, 75, 78, 80, 82, 82], [75, 75, 78, 80, 82, 82], [74, 75, 78, 80, 82, 82], [74, 75, 78, 80, 82, 82], [74, 75, 75, 80, 82, 82], [74, 75, 75, 78, 82, 82], [74, 75, 75, 78, 80, 82], [74, 75, 75, 78, 80, 82]], [[83, 84, 84, 87, 88, 90, 94], [84, 84, 87, 88, 90, 94], [83, 84, 87, 88, 90, 94], [83, 84, 87, 88, 90, 94], [83, 84, 84, 88, 90, 94], [83, 84, 84, 87, 90, 94], [83, 84, 84, 87, 88, 94], [83, 84, 84, 87, 88, 90]], [[9, 11, 14, 16, 16, 21], [11, 14, 16, 16, 21], [9, 14, 16, 16, 21], [9, 11, 16, 16, 21], [9, 11, 14, 16, 21], [9, 11, 14, 16, 21], [9, 11, 14, 16, 16]], [[40, 42, 44, 48, 51, 53, 56], [42, 44, 48, 51, 53, 56], [40, 44, 48, 51, 53, 56], [40, 42, 48, 51, 53, 56], [40, 42, 44, 51, 53, 56], [40, 42, 44, 48, 53, 56], [40, 42, 44, 48, 51, 56], [40, 42, 44, 48, 51, 53]], [[71, 74, 78, 81, 80], [74, 78, 81, 80], [71, 78, 81, 80], [71, 74, 81, 80], [71, 74, 78, 80], [71, 74, 78, 81]], [[7, 9, 11, 14, 18, 20, 21, 21], [9, 11, 14, 18, 20, 21, 21], [7, 11, 14, 18, 20, 21, 21], [7, 9, 14, 18, 20, 21, 21], [7, 9, 11, 18, 20, 21, 21], [7, 9, 11, 14, 20, 21, 21], [7, 9, 11, 14, 18, 21, 21], [7, 9, 11, 14, 18, 20, 21], [7, 9, 11, 14, 18, 20, 21]], [[74, 77, 81, 82, 83, 87], [77, 81, 82, 83, 87], [74, 81, 82, 83, 87], [74, 77, 82, 83, 87], [74, 77, 81, 83, 87], [74, 77, 81, 82, 87], [74, 77, 81, 82, 83]], [[76, 77, 79, 80, 84, 86, 93], [77, 79, 80, 84, 86, 93], [76, 79, 80, 84, 86, 93], [76, 77, 80, 84, 86, 93], [76, 77, 79, 84, 86, 93], [76, 77, 79, 80, 86, 93], [76, 77, 79, 80, 84, 93], [76, 77, 79, 80, 84, 86]], [[62, 63, 69, 72, 75, 77, 78], [63, 69, 72, 75, 77, 78], [62, 69, 72, 75, 77, 78], [62, 63, 72, 75, 77, 78], [62, 63, 69, 75, 77, 78], [62, 63, 69, 72, 77, 78], [62, 63, 69, 72, 75, 78], [62, 63, 69, 72, 75, 77]], [[21, 23, 29, 32, 35, 37, 35], [23, 29, 32, 35, 37, 35], [21, 29, 32, 35, 37, 35], [21, 23, 32, 35, 37, 35], [21, 23, 29, 35, 37, 35], [21, 23, 29, 32, 37, 35], [21, 23, 29, 32, 35, 35], [21, 23, 29, 32, 37, 35]], [[85, 87, 88, 94, 94], [87, 88, 94, 94], [85, 88, 94, 94], [85, 87, 94, 94], [85, 87, 88, 94], [85, 87, 88, 94]], [[45, 47, 49, 56, 60], [47, 49, 56, 60], [45, 49, 56, 60], [45, 47, 56, 60], [45, 47, 49, 60], [45, 47, 49, 56]], [[45, 46, 51, 54, 56, 61], [46, 51, 54, 56, 61], [45, 51, 54, 56, 61], [45, 46, 54, 56, 61], [45, 46, 51, 56, 61], [45, 46, 51, 54, 61], [45, 46, 51, 54, 56]], [[63, 60, 62, 65, 67, 69], [60, 62, 65, 67, 69], [63, 62, 65, 67, 69], [63, 60, 65, 67, 69], [63, 60, 62, 67, 69], [63, 60, 62, 65, 69], [63, 60, 62, 65, 67]], [[39, 37, 40, 43, 44, 45, 46, 45], [37, 40, 43, 44, 45, 46, 45], [39, 40, 43, 44, 45, 46, 45], [39, 37, 43, 44, 45, 46, 45], [39, 37, 40, 44, 45, 46, 45], [39, 37, 40, 43, 45, 46, 45], [39, 37, 40, 43, 44, 46, 45], [39, 37, 40, 43, 44, 45, 45], [39, 37, 40, 43, 44, 46, 45]], [[84, 81, 84, 87, 87], [81, 84, 87, 87], [84, 84, 87, 87], [81, 84, 87, 87], [84, 81, 84, 87], [84, 81, 84, 87]], [[93, 91, 93, 95, 99], [91, 93, 95, 99], [93, 93, 95, 99], [91, 93, 95, 99], [93, 91, 93, 99], [93, 91, 93, 95]], [[45, 44, 46, 47, 49, 56], [44, 46, 47, 49, 56], [45, 46, 47, 49, 56], [45, 44, 47, 49, 56], [45, 44, 46, 49, 56], [45, 44, 46, 47, 56], [45, 44, 46, 47, 49]], [[72, 69, 68, 69, 72], [69, 68, 69, 72], [72, 68, 69, 72], [72, 69, 69, 72], [72, 68, 69, 72], [69, 68, 69, 72]], [[83, 81, 84, 81, 80], [81, 84, 81, 80], [83, 84, 81, 80], [83, 81, 81, 80], [83, 84, 81, 80], [83, 81, 84, 81]], [[4, 3, 5, 7, 6, 8, 10, 10], [3, 5, 7, 6, 8, 10, 10], [4, 5, 7, 6, 8, 10, 10], [4, 3, 7, 6, 8, 10, 10], [4, 3, 5, 6, 8, 10, 10], [4, 3, 5, 7, 8, 10, 10], [4, 3, 5, 7, 6, 10, 10], [4, 3, 5, 7, 6, 8, 10], [4, 3, 5, 7, 6, 8, 10]], [[92, 90, 87, 89, 93], [90, 87, 89, 93], [92, 87, 89, 93], [92, 90, 89, 93], [92, 90, 87, 93], [92, 90, 87, 89]], [[46, 45, 47, 44, 47, 48, 49, 54], [45, 47, 44, 47, 48, 49, 54], [46, 47, 44, 47, 48, 49, 54], [46, 45, 44, 47, 48, 49, 54], [46, 45, 47, 47, 48, 49, 54], [46, 45, 44, 47, 48, 49, 54], [46, 45, 47, 44, 47, 49, 54], [46, 45, 47, 44, 47, 48, 54], [46, 45, 47, 44, 47, 48, 49]], [[43, 42, 43, 43, 45], [42, 43, 43, 45], [43, 43, 43, 45], [42, 43, 43, 45], [42, 43, 43, 45], [43, 42, 43, 43]], [[18, 15, 15, 17, 20, 21, 19], [15, 15, 17, 20, 21, 19], [18, 15, 17, 20, 21, 19], [18, 15, 17, 20, 21, 19], [18, 15, 15, 20, 21, 19], [18, 15, 15, 17, 21, 19], [18, 15, 15, 17, 20, 19], [18, 15, 15, 17, 20, 21]], [[72, 71, 72, 73, 75, 75, 78, 78], [71, 72, 73, 75, 75, 78, 78], [72, 72, 73, 75, 75, 78, 78], [71, 72, 73, 75, 75, 78, 78], [72, 71, 72, 75, 75, 78, 78], [72, 71, 72, 73, 75, 78, 78], [72, 71, 72, 73, 75, 78, 78], [72, 71, 72, 73, 75, 75, 78], [72, 71, 72, 73, 75, 75, 78]], [[49, 46, 47, 49, 51, 51, 52, 56], [46, 47, 49, 51, 51, 52, 56], [49, 47, 49, 51, 51, 52, 56], [49, 46, 49, 51, 51, 52, 56], [46, 47, 49, 51, 51, 52, 56], [49, 46, 47, 49, 51, 52, 56], [49, 46, 47, 49, 51, 52, 56], [49, 46, 47, 49, 51, 51, 56], [49, 46, 47, 49, 51, 51, 52]], [[73, 72, 73, 74, 75, 78, 78, 84], [72, 73, 74, 75, 78, 78, 84], [73, 73, 74, 75, 78, 78, 84], [72, 73, 74, 75, 78, 78, 84], [73, 72, 73, 75, 78, 78, 84], [73, 72, 73, 74, 78, 78, 84], [73, 72, 73, 74, 75, 78, 84], [73, 72, 73, 74, 75, 78, 84], [73, 72, 73, 74, 75, 78, 78]], [[52, 49, 53, 55, 57, 60, 62], [49, 53, 55, 57, 60, 62], [52, 53, 55, 57, 60, 62], [52, 49, 55, 57, 60, 62], [52, 49, 53, 57, 60, 62], [52, 49, 53, 55, 60, 62], [52, 49, 53, 55, 57, 62], [52, 49, 53, 55, 57, 60]], [[21, 19, 23, 25, 27, 29, 28], [19, 23, 25, 27, 29, 28], [21, 23, 25, 27, 29, 28], [21, 19, 25, 27, 29, 28], [21, 19, 23, 27, 29, 28], [21, 19, 23, 25, 29, 28], [21, 19, 23, 25, 27, 28], [21, 19, 23, 25, 27, 29]], [[80, 77, 78, 81, 85, 86, 88, 88], [77, 78, 81, 85, 86, 88, 88], [80, 78, 81, 85, 86, 88, 88], [80, 77, 81, 85, 86, 88, 88], [80, 77, 78, 85, 86, 88, 88], [80, 77, 78, 81, 86, 88, 88], [80, 77, 78, 81, 85, 88, 88], [80, 77, 78, 81, 85, 86, 88], [80, 77, 78, 81, 85, 86, 88]], [[21, 20, 24, 27, 31], [20, 24, 27, 31], [21, 24, 27, 31], [21, 20, 27, 31], [21, 20, 24, 31], [21, 20, 24, 27]], [[37, 35, 39, 42, 48], [35, 39, 42, 48], [37, 39, 42, 48], [37, 35, 42, 48], [37, 35, 39, 48], [37, 35, 39, 42]], [[64, 61, 63, 69, 70, 72, 74, 75], [61, 63, 69, 70, 72, 74, 75], [64, 63, 69, 70, 72, 74, 75], [64, 61, 69, 70, 72, 74, 75], [64, 61, 63, 70, 72, 74, 75], [64, 61, 63, 69, 72, 74, 75], [64, 61, 63, 69, 70, 74, 75], [64, 61, 63, 69, 70, 72, 75], [64, 61, 63, 69, 70, 72, 74]], [[84, 83, 85, 88, 94, 91], [83, 85, 88, 94, 91], [84, 85, 88, 94, 91], [84, 83, 88, 94, 91], [84, 83, 85, 94, 91], [84, 83, 85, 88, 91], [84, 83, 85, 88, 94]], [[24, 23, 30, 32, 34, 37, 37], [23, 30, 32, 34, 37, 37], [24, 30, 32, 34, 37, 37], [24, 23, 32, 34, 37, 37], [24, 23, 30, 34, 37, 37], [24, 23, 30, 32, 37, 37], [24, 23, 30, 32, 34, 37], [24, 23, 30, 32, 34, 37]], [[70, 69, 70, 75, 79], [69, 70, 75, 79], [70, 70, 75, 79], [69, 70, 75, 79], [70, 69, 70, 79], [70, 69, 70, 75]], [[4, 3, 8, 10, 13, 20], [3, 8, 10, 13, 20], [4, 8, 10, 13, 20], [4, 3, 10, 13, 20], [4, 3, 8, 13, 20], [4, 3, 8, 10, 20], [4, 3, 8, 10, 13]], [[13, 13, 15, 17, 18, 19, 21], [13, 15, 17, 18, 19, 21], [13, 15, 17, 18, 19, 21], [13, 13, 17, 18, 19, 21], [13, 13, 15, 18, 19, 21], [13, 13, 15, 17, 19, 21], [13, 13, 15, 17, 18, 21], [13, 13, 15, 17, 18, 19]], [[9, 9, 10, 12, 15, 13], [9, 10, 12, 15, 13], [9, 10, 12, 15, 13], [9, 9, 12, 15, 13], [9, 9, 10, 15, 13], [9, 9, 10, 12, 13], [9, 9, 10, 12, 15]], [[50, 50, 53, 55, 57, 60, 62, 62], [50, 53, 55, 57, 60, 62, 62], [50, 53, 55, 57, 60, 62, 62], [50, 50, 55, 57, 60, 62, 62], [50, 50, 53, 57, 60, 62, 62], [50, 50, 53, 55, 60, 62, 62], [50, 50, 53, 55, 57, 62, 62], [50, 50, 53, 55, 57, 60, 62], [50, 50, 53, 55, 57, 60, 62]], [[5, 5, 7, 9, 13], [5, 7, 9, 13], [5, 7, 9, 13], [5, 5, 9, 13], [5, 5, 7, 13], [5, 5, 7, 9]], [[43, 43, 45, 47, 48, 50, 55], [43, 45, 47, 48, 50, 55], [43, 45, 47, 48, 50, 55], [43, 43, 47, 48, 50, 55], [43, 43, 45, 48, 50, 55], [43, 43, 45, 47, 50, 55], [43, 43, 45, 47, 48, 55], [43, 43, 45, 47, 48, 50]], [[79, 79, 81, 84, 82, 85, 88], [79, 81, 84, 82, 85, 88], [79, 81, 84, 82, 85, 88], [79, 79, 84, 82, 85, 88], [79, 79, 81, 82, 85, 88], [79, 79, 81, 84, 85, 88], [79, 79, 81, 84, 82, 88], [79, 79, 81, 84, 82, 85]], [[92, 92, 95, 93, 96, 95], [92, 95, 93, 96, 95], [92, 95, 93, 96, 95], [92, 92, 93, 96, 95], [92, 92, 95, 96, 95], [92, 92, 95, 93, 95], [92, 92, 93, 96, 95]], [[22, 22, 23, 22, 23, 25, 26, 26], [22, 23, 22, 23, 25, 26, 26], [22, 23, 22, 23, 25, 26, 26], [22, 22, 22, 23, 25, 26, 26], [22, 23, 22, 23, 25, 26, 26], [22, 22, 22, 23, 25, 26, 26], [22, 22, 23, 22, 23, 26, 26], [22, 22, 23, 22, 23, 25, 26], [22, 22, 23, 22, 23, 25, 26]], [[84, 84, 85, 83, 87], [84, 85, 83, 87], [84, 85, 83, 87], [84, 84, 83, 87], [84, 84, 85, 87], [84, 84, 85, 83]], [[72, 72, 70, 71, 72, 78], [72, 70, 71, 72, 78], [72, 70, 71, 72, 78], [72, 72, 71, 72, 78], [72, 72, 70, 72, 78], [72, 70, 71, 72, 78], [72, 72, 70, 71, 72]], [[17, 17, 19, 19, 20, 21, 24], [17, 19, 19, 20, 21, 24], [17, 19, 19, 20, 21, 24], [17, 17, 19, 20, 21, 24], [17, 17, 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64, 60, 59, 56, 49], [69, 66, 64, 60, 59, 56, 55]], [[77, 75, 73, 67, 64, 62], [75, 73, 67, 64, 62], [77, 73, 67, 64, 62], [77, 75, 67, 64, 62], [77, 75, 73, 64, 62], [77, 75, 73, 67, 62], [77, 75, 73, 67, 64]], [[95, 93, 90, 87, 81, 82], [93, 90, 87, 81, 82], [95, 90, 87, 81, 82], [95, 93, 87, 81, 82], [95, 93, 90, 81, 82], [95, 93, 90, 87, 82], [95, 93, 90, 87, 81]], [[14, 13, 12, 10, 9, 4, 4], [13, 12, 10, 9, 4, 4], [14, 12, 10, 9, 4, 4], [14, 13, 10, 9, 4, 4], [14, 13, 12, 9, 4, 4], [14, 13, 12, 10, 4, 4], [14, 13, 12, 10, 9, 4], [14, 13, 12, 10, 9, 4]], [[62, 59, 56, 49, 46, 42], [59, 56, 49, 46, 42], [62, 56, 49, 46, 42], [62, 59, 49, 46, 42], [62, 59, 56, 46, 42], [62, 59, 56, 49, 42], [62, 59, 56, 49, 46]], [[47, 44, 37, 34, 32, 30, 29, 24], [44, 37, 34, 32, 30, 29, 24], [47, 37, 34, 32, 30, 29, 24], [47, 44, 34, 32, 30, 29, 24], [47, 44, 37, 32, 30, 29, 24], [47, 44, 37, 34, 30, 29, 24], [47, 44, 37, 34, 32, 29, 24], [47, 44, 37, 34, 32, 30, 24], [47, 44, 37, 34, 32, 30, 29]], 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42, 41, 39, 38, 34, 27], [39, 42, 41, 39, 38, 37, 27], [39, 42, 41, 39, 38, 37, 34]], [[58, 61, 58, 55, 53, 52, 53, 52], [61, 58, 55, 53, 52, 53, 52], [58, 58, 55, 53, 52, 53, 52], [61, 58, 55, 53, 52, 53, 52], [58, 61, 58, 53, 52, 53, 52], [58, 61, 58, 55, 52, 53, 52], [58, 61, 58, 55, 53, 53, 52], [58, 61, 58, 55, 52, 53, 52], [58, 61, 58, 55, 53, 53, 52]], [[82, 85, 87, 85, 88], [85, 87, 85, 88], [82, 87, 85, 88], [82, 85, 85, 88], [82, 87, 85, 88], [82, 85, 87, 85]], [[25, 26, 27, 25, 23, 21, 21], [26, 27, 25, 23, 21, 21], [25, 27, 25, 23, 21, 21], [25, 26, 25, 23, 21, 21], [26, 27, 25, 23, 21, 21], [25, 26, 27, 25, 21, 21], [25, 26, 27, 25, 23, 21], [25, 26, 27, 25, 23, 21]], [[87, 89, 91, 88, 87, 86, 84, 80], [89, 91, 88, 87, 86, 84, 80], [87, 91, 88, 87, 86, 84, 80], [87, 89, 88, 87, 86, 84, 80], [87, 89, 91, 87, 86, 84, 80], [89, 91, 88, 87, 86, 84, 80], [87, 89, 91, 88, 87, 84, 80], [87, 89, 91, 88, 87, 86, 80], [87, 89, 91, 88, 87, 86, 84]], [[34, 35, 33, 34, 32, 27], [35, 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67], [71, 71, 70, 67, 66, 67], [71, 71, 70, 67, 65, 67], [71, 71, 70, 65, 66, 67]], [[69, 69, 70, 67, 64, 61, 60, 60], [69, 70, 67, 64, 61, 60, 60], [69, 70, 67, 64, 61, 60, 60], [69, 69, 67, 64, 61, 60, 60], [69, 69, 70, 64, 61, 60, 60], [69, 69, 70, 67, 61, 60, 60], [69, 69, 70, 67, 64, 60, 60], [69, 69, 70, 67, 64, 61, 60], [69, 69, 70, 67, 64, 61, 60]], [[20, 20, 18, 16, 14, 16, 15, 11], [20, 18, 16, 14, 16, 15, 11], [20, 18, 16, 14, 16, 15, 11], [20, 20, 16, 14, 16, 15, 11], [20, 20, 18, 14, 16, 15, 11], [20, 20, 18, 16, 16, 15, 11], [20, 20, 18, 14, 16, 15, 11], [20, 20, 18, 16, 14, 16, 11], [20, 20, 18, 16, 14, 16, 15]], [[39, 39, 36, 38, 35, 33, 30, 25], [39, 36, 38, 35, 33, 30, 25], [39, 36, 38, 35, 33, 30, 25], [39, 39, 38, 35, 33, 30, 25], [39, 39, 36, 35, 33, 30, 25], [39, 39, 36, 38, 33, 30, 25], [39, 39, 36, 38, 35, 30, 25], [39, 39, 36, 38, 35, 33, 25], [39, 39, 36, 38, 35, 33, 30]], [[42, 42, 42, 40, 38, 36], [42, 42, 40, 38, 36], [42, 42, 40, 38, 36], [42, 42, 40, 38, 36], [42, 42, 42, 38, 36], [42, 42, 42, 40, 36], [42, 42, 42, 40, 38]], [[49, 49, 46, 46, 44, 43, 45], [49, 46, 46, 44, 43, 45], [49, 46, 46, 44, 43, 45], [49, 49, 46, 44, 43, 45], [49, 49, 46, 44, 43, 45], [49, 49, 46, 46, 43, 45], [49, 49, 46, 46, 44, 45], [49, 49, 46, 46, 44, 43]], [[19, 19, 17, 15, 15, 13, 13], [19, 17, 15, 15, 13, 13], [19, 17, 15, 15, 13, 13], [19, 19, 15, 15, 13, 13], [19, 19, 17, 15, 13, 13], [19, 19, 17, 15, 13, 13], [19, 19, 17, 15, 15, 13], [19, 19, 17, 15, 15, 13]], [[81, 81, 81, 78, 76, 75, 71], [81, 81, 78, 76, 75, 71], [81, 81, 78, 76, 75, 71], [81, 81, 78, 76, 75, 71], [81, 81, 81, 76, 75, 71], [81, 81, 81, 78, 75, 71], [81, 81, 81, 78, 76, 71], [81, 81, 81, 78, 76, 75]], [[20, 20, 17, 17, 14, 12, 11, 5], [20, 17, 17, 14, 12, 11, 5], [20, 17, 17, 14, 12, 11, 5], [20, 20, 17, 14, 12, 11, 5], [20, 20, 17, 14, 12, 11, 5], [20, 20, 17, 17, 12, 11, 5], [20, 20, 17, 17, 14, 11, 5], [20, 20, 17, 17, 14, 12, 5], [20, 20, 17, 17, 14, 12, 11]], [[74, 74, 73, 69, 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62, 64, 68], [58, 58, 61, 62, 64, 66]], [[66, 66, 68, 71, 73, 75, 72], [66, 68, 71, 73, 75, 72], [66, 68, 71, 73, 75, 72], [66, 66, 71, 73, 75, 72], [66, 66, 68, 73, 75, 72], [66, 66, 68, 71, 75, 72], [66, 66, 68, 71, 73, 72], [66, 66, 68, 71, 73, 75]], [[30, 30, 32, 33, 34, 37, 37], [30, 32, 33, 34, 37, 37], [30, 32, 33, 34, 37, 37], [30, 30, 33, 34, 37, 37], [30, 30, 32, 34, 37, 37], [30, 30, 32, 33, 37, 37], [30, 30, 32, 33, 34, 37], [30, 30, 32, 33, 34, 37]], [[30, 30, 33, 36, 38, 40, 44], [30, 33, 36, 38, 40, 44], [30, 33, 36, 38, 40, 44], [30, 30, 36, 38, 40, 44], [30, 30, 33, 38, 40, 44], [30, 30, 33, 36, 40, 44], [30, 30, 33, 36, 38, 44], [30, 30, 33, 36, 38, 40]], [[78, 78, 80, 81, 83, 90], [78, 80, 81, 83, 90], [78, 80, 81, 83, 90], [78, 78, 81, 83, 90], [78, 78, 80, 83, 90], [78, 78, 80, 81, 90], [78, 78, 80, 81, 83]], [[56, 56, 59, 62, 65, 63, 64, 66], [56, 59, 62, 65, 63, 64, 66], [56, 59, 62, 65, 63, 64, 66], [56, 56, 62, 65, 63, 64, 66], [56, 56, 59, 65, 63, 64, 66], 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70], [67, 71, 72, 76, 73, 70], [67, 71, 72, 74, 73, 70], [67, 71, 72, 74, 76, 70], [67, 71, 72, 74, 76, 73]], [[2, 6, 8, 11, 12, 9, 9], [6, 8, 11, 12, 9, 9], [2, 8, 11, 12, 9, 9], [2, 6, 11, 12, 9, 9], [2, 6, 8, 12, 9, 9], [2, 6, 8, 11, 9, 9], [2, 6, 8, 11, 12, 9], [2, 6, 8, 11, 12, 9]], [[52, 56, 53, 55, 56, 60], [56, 53, 55, 56, 60], [52, 53, 55, 56, 60], [52, 56, 55, 56, 60], [52, 56, 53, 56, 60], [52, 53, 55, 56, 60], [52, 56, 53, 55, 56]], [[15, 19, 22, 21, 28], [19, 22, 21, 28], [15, 22, 21, 28], [15, 19, 21, 28], [15, 19, 22, 28], [15, 19, 22, 21]], [[71, 75, 77, 77, 80, 83], [75, 77, 77, 80, 83], [71, 77, 77, 80, 83], [71, 75, 77, 80, 83], [71, 75, 77, 80, 83], [71, 75, 77, 77, 83], [71, 75, 77, 77, 80]], [[16, 20, 22, 22, 25, 23], [20, 22, 22, 25, 23], [16, 22, 22, 25, 23], [16, 20, 22, 25, 23], [16, 20, 22, 25, 23], [16, 20, 22, 22, 23], [16, 20, 22, 22, 25]], [[18, 22, 25, 26, 26, 26], [22, 25, 26, 26, 26], [18, 25, 26, 26, 26], [18, 22, 26, 26, 26], [18, 22, 25, 26, 26], 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60], [76, 71, 69, 68, 64]], [[42, 35, 32, 31, 27, 24, 21, 14], [35, 32, 31, 27, 24, 21, 14], [42, 32, 31, 27, 24, 21, 14], [42, 35, 31, 27, 24, 21, 14], [42, 35, 32, 27, 24, 21, 14], [42, 35, 32, 31, 24, 21, 14], [42, 35, 32, 31, 27, 21, 14], [42, 35, 32, 31, 27, 24, 14], [42, 35, 32, 31, 27, 24, 21]], [[52, 46, 44, 43, 36, 33], [46, 44, 43, 36, 33], [52, 44, 43, 36, 33], [52, 46, 43, 36, 33], [52, 46, 44, 36, 33], [52, 46, 44, 43, 33], [52, 46, 44, 43, 36]], [[69, 62, 56, 53, 52, 49, 51], [62, 56, 53, 52, 49, 51], [69, 56, 53, 52, 49, 51], [69, 62, 53, 52, 49, 51], [69, 62, 56, 52, 49, 51], [69, 62, 56, 53, 49, 51], [69, 62, 56, 53, 52, 51], [69, 62, 56, 53, 52, 49]], [[23, 18, 12, 10, 9, 7, 7], [18, 12, 10, 9, 7, 7], [23, 12, 10, 9, 7, 7], [23, 18, 10, 9, 7, 7], [23, 18, 12, 9, 7, 7], [23, 18, 12, 10, 7, 7], [23, 18, 12, 10, 9, 7], [23, 18, 12, 10, 9, 7]], [[74, 67, 64, 62, 56, 52], [67, 64, 62, 56, 52], [74, 64, 62, 56, 52], [74, 67, 62, 56, 52], [74, 67, 64, 56, 52], [74, 67, 64, 62, 52], [74, 67, 64, 62, 56]], [[28, 21, 15, 12, 9, 2], [21, 15, 12, 9, 2], [28, 15, 12, 9, 2], [28, 21, 12, 9, 2], [28, 21, 15, 9, 2], [28, 21, 15, 12, 2], [28, 21, 15, 12, 9]], [[48, 49, 50, 51, 49], [49, 50, 51, 49], [48, 50, 51, 49], [48, 49, 51, 49], [48, 49, 50, 49], [48, 50, 51, 49]], [[48, 51, 52, 53, 54, 56, 56], [51, 52, 53, 54, 56, 56], [48, 52, 53, 54, 56, 56], [48, 51, 53, 54, 56, 56], [48, 51, 52, 54, 56, 56], [48, 51, 52, 53, 56, 56], [48, 51, 52, 53, 54, 56], [48, 51, 52, 53, 54, 56]], [[61, 64, 67, 70, 74], [64, 67, 70, 74], [61, 67, 70, 74], [61, 64, 70, 74], [61, 64, 67, 74], [61, 64, 67, 70]], [[14, 17, 20, 23, 29], [17, 20, 23, 29], [14, 20, 23, 29], [14, 17, 23, 29], [14, 17, 20, 29], [14, 17, 20, 23]], [[11, 13, 10, 13, 16], [13, 10, 13, 16], [11, 10, 13, 16], [11, 13, 13, 16], [11, 10, 13, 16], [11, 13, 10, 13]], [[26, 28, 31, 30, 33, 30], [28, 31, 30, 33, 30], [26, 31, 30, 33, 30], [26, 28, 30, 33, 30], [26, 28, 31, 33, 30], [26, 28, 31, 30, 30], [26, 28, 31, 33, 30]], [[17, 20, 22, 19, 19], [20, 22, 19, 19], [17, 22, 19, 19], [17, 20, 19, 19], [17, 20, 22, 19], [17, 20, 22, 19]], [[59, 61, 63, 65, 62, 66], [61, 63, 65, 62, 66], [59, 63, 65, 62, 66], [59, 61, 65, 62, 66], [59, 61, 63, 62, 66], [59, 61, 63, 65, 66], [59, 61, 63, 65, 62]], [[64, 66, 67, 70, 67, 70, 71, 76], [66, 67, 70, 67, 70, 71, 76], [64, 67, 70, 67, 70, 71, 76], [64, 66, 70, 67, 70, 71, 76], [64, 66, 67, 67, 70, 71, 76], [64, 66, 70, 67, 70, 71, 76], [64, 66, 67, 67, 70, 71, 76], [64, 66, 67, 70, 67, 70, 76], [64, 66, 67, 70, 67, 70, 71]], [[20, 22, 22, 25, 28, 31], [22, 22, 25, 28, 31], [20, 22, 25, 28, 31], [20, 22, 25, 28, 31], [20, 22, 22, 28, 31], [20, 22, 22, 25, 31], [20, 22, 22, 25, 28]], [[82, 84, 85, 85, 87, 90, 87], [84, 85, 85, 87, 90, 87], [82, 85, 85, 87, 90, 87], [82, 84, 85, 87, 90, 87], [82, 84, 85, 87, 90, 87], [82, 84, 85, 85, 90, 87], [82, 84, 85, 85, 87, 87], [82, 84, 85, 85, 90, 87]], [[32, 33, 36, 37, 37, 39, 41, 41], [33, 36, 37, 37, 39, 41, 41], 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96], [82, 83, 89, 90, 92]], [[39, 41, 47, 48, 53], [41, 47, 48, 53], [39, 47, 48, 53], [39, 41, 48, 53], [39, 41, 47, 53], [39, 41, 47, 48]], [[26, 24, 26, 29, 30, 31, 33, 34], [24, 26, 29, 30, 31, 33, 34], [26, 26, 29, 30, 31, 33, 34], [24, 26, 29, 30, 31, 33, 34], [26, 24, 26, 30, 31, 33, 34], [26, 24, 26, 29, 31, 33, 34], [26, 24, 26, 29, 30, 33, 34], [26, 24, 26, 29, 30, 31, 34], [26, 24, 26, 29, 30, 31, 33]], [[8, 7, 10, 11, 9], [7, 10, 11, 9], [8, 10, 11, 9], [8, 7, 11, 9], [8, 7, 10, 9], [8, 7, 10, 11]], [[38, 37, 39, 40, 41, 41], [37, 39, 40, 41, 41], [38, 39, 40, 41, 41], [38, 37, 40, 41, 41], [38, 37, 39, 41, 41], [38, 37, 39, 40, 41], [38, 37, 39, 40, 41]], [[39, 38, 40, 42, 46], [38, 40, 42, 46], [39, 40, 42, 46], [39, 38, 42, 46], [39, 38, 40, 46], [39, 38, 40, 42]], [[68, 66, 69, 70, 72, 78], [66, 69, 70, 72, 78], [68, 69, 70, 72, 78], [68, 66, 70, 72, 78], [68, 66, 69, 72, 78], [68, 66, 69, 70, 78], [68, 66, 69, 70, 72]], [[60, 57, 59, 60, 58, 61, 62], [57, 59, 60, 58, 61, 62], [60, 59, 60, 58, 61, 62], [60, 57, 60, 58, 61, 62], [57, 59, 60, 58, 61, 62], [60, 57, 59, 60, 61, 62], [60, 57, 59, 60, 58, 62], [60, 57, 59, 60, 58, 61]], [[62, 60, 61, 59, 58], [60, 61, 59, 58], [62, 61, 59, 58], [62, 60, 59, 58], [62, 60, 61, 58], [62, 60, 61, 59]], [[11, 10, 12, 14, 13, 13], [10, 12, 14, 13, 13], [11, 12, 14, 13, 13], [11, 10, 14, 13, 13], [11, 10, 12, 13, 13], [11, 10, 12, 14, 13], [11, 10, 12, 14, 13]], [[63, 62, 61, 64, 67, 71], [62, 61, 64, 67, 71], [63, 61, 64, 67, 71], [63, 62, 64, 67, 71], [63, 62, 61, 67, 71], [63, 62, 61, 64, 71], [63, 62, 61, 64, 67]], [[89, 86, 85, 88, 90, 91, 97], [86, 85, 88, 90, 91, 97], [89, 85, 88, 90, 91, 97], [89, 86, 88, 90, 91, 97], [89, 86, 85, 90, 91, 97], [89, 86, 85, 88, 91, 97], [89, 86, 85, 88, 90, 97], [89, 86, 85, 88, 90, 91]], [[34, 32, 32, 33, 35], [32, 32, 33, 35], [34, 32, 33, 35], [34, 32, 33, 35], [34, 32, 32, 35], [34, 32, 32, 33]], [[16, 14, 14, 17, 18, 19, 18], [14, 14, 17, 18, 19, 18], [16, 14, 17, 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57], [51, 52, 53, 51, 57], [51, 52, 53, 51, 57], [51, 51, 53, 51, 57], [51, 51, 52, 51, 57], [51, 52, 53, 51, 57], [51, 51, 52, 53, 51]], [[53, 53, 55, 58, 59, 59, 61], [53, 55, 58, 59, 59, 61], [53, 55, 58, 59, 59, 61], [53, 53, 58, 59, 59, 61], [53, 53, 55, 59, 59, 61], [53, 53, 55, 58, 59, 61], [53, 53, 55, 58, 59, 61], [53, 53, 55, 58, 59, 59]], [[1, 1, 4, 4, 7, 4], [1, 4, 4, 7, 4], [1, 4, 4, 7, 4], [1, 1, 4, 7, 4], [1, 1, 4, 7, 4], [1, 1, 4, 4, 4], [1, 1, 4, 7, 4]], [[76, 76, 79, 79, 82, 83, 83], [76, 79, 79, 82, 83, 83], [76, 79, 79, 82, 83, 83], [76, 76, 79, 82, 83, 83], [76, 76, 79, 82, 83, 83], [76, 76, 79, 79, 83, 83], [76, 76, 79, 79, 82, 83], [76, 76, 79, 79, 82, 83]], [[2, 2, 4, 4, 7, 8, 12], [2, 4, 4, 7, 8, 12], [2, 4, 4, 7, 8, 12], [2, 2, 4, 7, 8, 12], [2, 2, 4, 7, 8, 12], [2, 2, 4, 4, 8, 12], [2, 2, 4, 4, 7, 12], [2, 2, 4, 4, 7, 8]], [[85, 85, 86, 88, 88, 93], [85, 86, 88, 88, 93], [85, 86, 88, 88, 93], [85, 85, 88, 88, 93], [85, 85, 86, 88, 93], [85, 85, 86, 88, 93], 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40, 41, 42, 40, 37], [34, 38, 41, 42, 43, 40, 37], [34, 38, 40, 41, 42, 43, 40]], [[77, 81, 82, 83, 82, 83, 83], [81, 82, 83, 82, 83, 83], [77, 82, 83, 82, 83, 83], [77, 81, 83, 82, 83, 83], [77, 81, 82, 82, 83, 83], [77, 81, 83, 82, 83, 83], [77, 81, 82, 82, 83, 83], [77, 81, 82, 82, 83, 83]], [[17, 21, 22, 23, 21, 22, 26], [21, 22, 23, 21, 22, 26], [17, 22, 23, 21, 22, 26], [17, 21, 23, 21, 22, 26], [17, 21, 22, 21, 22, 26], [17, 22, 23, 21, 22, 26], [17, 21, 23, 21, 22, 26], [17, 21, 22, 23, 21, 22]], [[74, 78, 80, 78, 80, 83, 88], [78, 80, 78, 80, 83, 88], [74, 80, 78, 80, 83, 88], [74, 78, 78, 80, 83, 88], [74, 80, 78, 80, 83, 88], [74, 78, 78, 80, 83, 88], [74, 78, 80, 78, 80, 88], [74, 78, 80, 78, 80, 83]], [[47, 51, 51, 52, 54, 56], [51, 51, 52, 54, 56], [47, 51, 52, 54, 56], [47, 51, 52, 54, 56], [47, 51, 51, 54, 56], [47, 51, 51, 52, 56], [47, 51, 51, 52, 54]], [[65, 69, 72, 74, 75, 75, 77, 76], [69, 72, 74, 75, 75, 77, 76], [65, 72, 74, 75, 75, 77, 76], [65, 69, 74, 75, 75, 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46, 41, 38, 35], [50, 49, 47, 46, 44, 38, 35], [50, 49, 47, 46, 44, 41, 35], [50, 49, 47, 46, 44, 41, 38]], [[73, 76, 79, 81, 83, 86, 88, 90], [76, 79, 81, 83, 86, 88, 90], [73, 79, 81, 83, 86, 88, 90], [73, 76, 81, 83, 86, 88, 90], [73, 76, 79, 83, 86, 88, 90], [73, 76, 79, 81, 86, 88, 90], [73, 76, 79, 81, 83, 88, 90], [73, 76, 79, 81, 83, 86, 90], [73, 76, 79, 81, 83, 86, 88]], [[15, 16, 18, 20, 21], [16, 18, 20, 21], [15, 18, 20, 21], [15, 16, 20, 21], [15, 16, 18, 21], [15, 16, 18, 20]], [[85, 87, 88, 89, 91], [87, 88, 89, 91], [85, 88, 89, 91], [85, 87, 89, 91], [85, 87, 88, 91], [85, 87, 88, 89]], [[71, 73, 75, 76, 77, 79, 80, 83], [73, 75, 76, 77, 79, 80, 83], [71, 75, 76, 77, 79, 80, 83], [71, 73, 76, 77, 79, 80, 83], [71, 73, 75, 77, 79, 80, 83], [71, 73, 75, 76, 79, 80, 83], [71, 73, 75, 76, 77, 80, 83], [71, 73, 75, 76, 77, 79, 83], [71, 73, 75, 76, 77, 79, 80]], [[28, 25, 22, 21, 20], [25, 22, 21, 20], [28, 22, 21, 20], [28, 25, 21, 20], [28, 25, 22, 20], [28, 25, 22, 21]], [[15, 17, 19, 20, 21, 24, 25], [17, 19, 20, 21, 24, 25], [15, 19, 20, 21, 24, 25], [15, 17, 20, 21, 24, 25], [15, 17, 19, 21, 24, 25], [15, 17, 19, 20, 24, 25], [15, 17, 19, 20, 21, 25], [15, 17, 19, 20, 21, 24]], [[40, 39, 37, 34, 31, 30, 27, 25], [39, 37, 34, 31, 30, 27, 25], [40, 37, 34, 31, 30, 27, 25], [40, 39, 34, 31, 30, 27, 25], [40, 39, 37, 31, 30, 27, 25], [40, 39, 37, 34, 30, 27, 25], [40, 39, 37, 34, 31, 27, 25], [40, 39, 37, 34, 31, 30, 25], [40, 39, 37, 34, 31, 30, 27]], [[90, 87, 86, 83, 81, 78, 76, 75], [87, 86, 83, 81, 78, 76, 75], [90, 86, 83, 81, 78, 76, 75], [90, 87, 83, 81, 78, 76, 75], [90, 87, 86, 81, 78, 76, 75], [90, 87, 86, 83, 78, 76, 75], [90, 87, 86, 83, 81, 76, 75], [90, 87, 86, 83, 81, 78, 75], [90, 87, 86, 83, 81, 78, 76]], [[32, 31, 28, 25, 24, 21, 18], [31, 28, 25, 24, 21, 18], [32, 28, 25, 24, 21, 18], [32, 31, 25, 24, 21, 18], [32, 31, 28, 24, 21, 18], [32, 31, 28, 25, 21, 18], [32, 31, 28, 25, 24, 18], [32, 31, 28, 25, 24, 21]], [[9, 11, 14, 16, 18], [11, 14, 16, 18], [9, 14, 16, 18], [9, 11, 16, 18], [9, 11, 14, 18], [9, 11, 14, 16]], [[9, 10, 11, 14, 16, 19, 21, 22], [10, 11, 14, 16, 19, 21, 22], [9, 11, 14, 16, 19, 21, 22], [9, 10, 14, 16, 19, 21, 22], [9, 10, 11, 16, 19, 21, 22], [9, 10, 11, 14, 19, 21, 22], [9, 10, 11, 14, 16, 21, 22], [9, 10, 11, 14, 16, 19, 22], [9, 10, 11, 14, 16, 19, 21]], [[14, 13, 12, 10, 9, 7, 6], [13, 12, 10, 9, 7, 6], [14, 12, 10, 9, 7, 6], [14, 13, 10, 9, 7, 6], [14, 13, 12, 9, 7, 6], [14, 13, 12, 10, 7, 6], [14, 13, 12, 10, 9, 6], [14, 13, 12, 10, 9, 7]], [[53, 50, 48, 46, 43, 42], [50, 48, 46, 43, 42], [53, 48, 46, 43, 42], [53, 50, 46, 43, 42], [53, 50, 48, 43, 42], [53, 50, 48, 46, 42], [53, 50, 48, 46, 43]], [[51, 54, 56, 59, 61, 63, 66, 68], [54, 56, 59, 61, 63, 66, 68], [51, 56, 59, 61, 63, 66, 68], [51, 54, 59, 61, 63, 66, 68], [51, 54, 56, 61, 63, 66, 68], [51, 54, 56, 59, 63, 66, 68], [51, 54, 56, 59, 61, 66, 68], [51, 54, 56, 59, 61, 63, 68], [51, 54, 56, 59, 61, 63, 66]], [[39, 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14, 18, 20, 21, 24], [13, 14, 15, 20, 21, 24], [13, 14, 15, 18, 21, 24], [13, 14, 15, 18, 20, 24], [13, 14, 15, 18, 20, 21]], [[13, 16, 18, 20, 23, 25], [16, 18, 20, 23, 25], [13, 18, 20, 23, 25], [13, 16, 20, 23, 25], [13, 16, 18, 23, 25], [13, 16, 18, 20, 25], [13, 16, 18, 20, 23]], [[16, 19, 20, 23, 26], [19, 20, 23, 26], [16, 20, 23, 26], [16, 19, 23, 26], [16, 19, 20, 26], [16, 19, 20, 23]], [[34, 35, 36, 38, 41, 43], [35, 36, 38, 41, 43], [34, 36, 38, 41, 43], [34, 35, 38, 41, 43], [34, 35, 36, 41, 43], [34, 35, 36, 38, 43], [34, 35, 36, 38, 41]], [[62, 59, 58, 56, 55, 53, 52], [59, 58, 56, 55, 53, 52], [62, 58, 56, 55, 53, 52], [62, 59, 56, 55, 53, 52], [62, 59, 58, 55, 53, 52], [62, 59, 58, 56, 53, 52], [62, 59, 58, 56, 55, 52], [62, 59, 58, 56, 55, 53]], [[14, 13, 10, 8, 5, 4, 2], [13, 10, 8, 5, 4, 2], [14, 10, 8, 5, 4, 2], [14, 13, 8, 5, 4, 2], [14, 13, 10, 5, 4, 2], [14, 13, 10, 8, 4, 2], [14, 13, 10, 8, 5, 2], [14, 13, 10, 8, 5, 4]], [[14, 13, 12, 9, 6, 4], [13, 12, 9, 6, 4], [14, 12, 9, 6, 4], [14, 13, 9, 6, 4], [14, 13, 12, 6, 4], [14, 13, 12, 9, 4], [14, 13, 12, 9, 6]], [[25, 23, 21, 19, 16, 15], [23, 21, 19, 16, 15], [25, 21, 19, 16, 15], [25, 23, 19, 16, 15], [25, 23, 21, 16, 15], [25, 23, 21, 19, 15], [25, 23, 21, 19, 16]], [[64, 63, 60, 57, 55, 53, 50, 48], [63, 60, 57, 55, 53, 50, 48], [64, 60, 57, 55, 53, 50, 48], [64, 63, 57, 55, 53, 50, 48], [64, 63, 60, 55, 53, 50, 48], [64, 63, 60, 57, 53, 50, 48], [64, 63, 60, 57, 55, 50, 48], [64, 63, 60, 57, 55, 53, 48], [64, 63, 60, 57, 55, 53, 50]], [[51, 53, 54, 55, 56, 58, 60], [53, 54, 55, 56, 58, 60], [51, 54, 55, 56, 58, 60], [51, 53, 55, 56, 58, 60], [51, 53, 54, 56, 58, 60], [51, 53, 54, 55, 58, 60], [51, 53, 54, 55, 56, 60], [51, 53, 54, 55, 56, 58]], [[74, 72, 69, 66, 64, 63, 61, 58], [72, 69, 66, 64, 63, 61, 58], [74, 69, 66, 64, 63, 61, 58], [74, 72, 66, 64, 63, 61, 58], [74, 72, 69, 64, 63, 61, 58], [74, 72, 69, 66, 63, 61, 58], [74, 72, 69, 66, 64, 61, 58], [74, 72, 69, 66, 64, 63, 58], 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45], [53, 51, 50, 49, 45], [53, 51, 50, 49, 48]], [[56, 58, 59, 60, 63, 65, 67], [58, 59, 60, 63, 65, 67], [56, 59, 60, 63, 65, 67], [56, 58, 60, 63, 65, 67], [56, 58, 59, 63, 65, 67], [56, 58, 59, 60, 65, 67], [56, 58, 59, 60, 63, 67], [56, 58, 59, 60, 63, 65]], [[88, 85, 84, 81, 79, 78, 77], [85, 84, 81, 79, 78, 77], [88, 84, 81, 79, 78, 77], [88, 85, 81, 79, 78, 77], [88, 85, 84, 79, 78, 77], [88, 85, 84, 81, 78, 77], [88, 85, 84, 81, 79, 77], [88, 85, 84, 81, 79, 78]], [[90, 87, 85, 84, 81, 80, 77], [87, 85, 84, 81, 80, 77], [90, 85, 84, 81, 80, 77], [90, 87, 84, 81, 80, 77], [90, 87, 85, 81, 80, 77], [90, 87, 85, 84, 80, 77], [90, 87, 85, 84, 81, 77], [90, 87, 85, 84, 81, 80]], [[49, 46, 45, 42, 40, 37, 36], [46, 45, 42, 40, 37, 36], [49, 45, 42, 40, 37, 36], [49, 46, 42, 40, 37, 36], [49, 46, 45, 40, 37, 36], [49, 46, 45, 42, 37, 36], [49, 46, 45, 42, 40, 36], [49, 46, 45, 42, 40, 37]], [[26, 24, 23, 22, 20, 18], [24, 23, 22, 20, 18], [26, 23, 22, 20, 18], [26, 24, 22, 20, 18], 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46, 44, 42, 39], [47, 46, 44, 42, 41]], [[75, 77, 79, 80, 83, 85, 86, 88], [77, 79, 80, 83, 85, 86, 88], [75, 79, 80, 83, 85, 86, 88], [75, 77, 80, 83, 85, 86, 88], [75, 77, 79, 83, 85, 86, 88], [75, 77, 79, 80, 85, 86, 88], [75, 77, 79, 80, 83, 86, 88], [75, 77, 79, 80, 83, 85, 88], [75, 77, 79, 80, 83, 85, 86]], [[13, 10, 7, 4, 3], [10, 7, 4, 3], [13, 7, 4, 3], [13, 10, 4, 3], [13, 10, 7, 3], [13, 10, 7, 4]], [[95, 92, 89, 87, 84, 81], [92, 89, 87, 84, 81], [95, 89, 87, 84, 81], [95, 92, 87, 84, 81], [95, 92, 89, 84, 81], [95, 92, 89, 87, 81], [95, 92, 89, 87, 84]], [[88, 89, 91, 94, 95, 97, 99], [89, 91, 94, 95, 97, 99], [88, 91, 94, 95, 97, 99], [88, 89, 94, 95, 97, 99], [88, 89, 91, 95, 97, 99], [88, 89, 91, 94, 97, 99], [88, 89, 91, 94, 95, 99], [88, 89, 91, 94, 95, 97]], [[79, 76, 74, 71, 68, 66, 65], [76, 74, 71, 68, 66, 65], [79, 74, 71, 68, 66, 65], [79, 76, 71, 68, 66, 65], [79, 76, 74, 68, 66, 65], [79, 76, 74, 71, 66, 65], [79, 76, 74, 71, 68, 65], [79, 76, 74, 71, 68, 66]], [[83, 85, 86, 87, 89, 90, 92], [85, 86, 87, 89, 90, 92], [83, 86, 87, 89, 90, 92], [83, 85, 87, 89, 90, 92], [83, 85, 86, 89, 90, 92], [83, 85, 86, 87, 90, 92], [83, 85, 86, 87, 89, 92], [83, 85, 86, 87, 89, 90]], [[44, 45, 46, 48, 51], [45, 46, 48, 51], [44, 46, 48, 51], [44, 45, 48, 51], [44, 45, 46, 51], [44, 45, 46, 48]], [[20, 17, 16, 14, 12], [17, 16, 14, 12], [20, 16, 14, 12], [20, 17, 14, 12], [20, 17, 16, 12], [20, 17, 16, 14]], [[59, 60, 63, 65, 67, 70, 72, 75], [60, 63, 65, 67, 70, 72, 75], [59, 63, 65, 67, 70, 72, 75], [59, 60, 65, 67, 70, 72, 75], [59, 60, 63, 67, 70, 72, 75], [59, 60, 63, 65, 70, 72, 75], [59, 60, 63, 65, 67, 72, 75], [59, 60, 63, 65, 67, 70, 75], [59, 60, 63, 65, 67, 70, 72]], [[11, 12, 13, 14, 16, 18], [12, 13, 14, 16, 18], [11, 13, 14, 16, 18], [11, 12, 14, 16, 18], [11, 12, 13, 16, 18], [11, 12, 13, 14, 18], [11, 12, 13, 14, 16]], [[63, 60, 59, 57, 55, 53, 51], [60, 59, 57, 55, 53, 51], [63, 59, 57, 55, 53, 51], [63, 60, 57, 55, 53, 51], [63, 60, 59, 55, 53, 51], [63, 60, 59, 57, 53, 51], [63, 60, 59, 57, 55, 51], [63, 60, 59, 57, 55, 53]], [[39, 36, 34, 33, 31, 30, 27, 24], [36, 34, 33, 31, 30, 27, 24], [39, 34, 33, 31, 30, 27, 24], [39, 36, 33, 31, 30, 27, 24], [39, 36, 34, 31, 30, 27, 24], [39, 36, 34, 33, 30, 27, 24], [39, 36, 34, 33, 31, 27, 24], [39, 36, 34, 33, 31, 30, 24], [39, 36, 34, 33, 31, 30, 27]], [[61, 59, 58, 56, 53], [59, 58, 56, 53], [61, 58, 56, 53], [61, 59, 56, 53], [61, 59, 58, 53], [61, 59, 58, 56]], [[34, 31, 29, 27, 24], [31, 29, 27, 24], [34, 29, 27, 24], [34, 31, 27, 24], [34, 31, 29, 24], [34, 31, 29, 27]], [[66, 67, 68, 70, 73, 74, 77], [67, 68, 70, 73, 74, 77], [66, 68, 70, 73, 74, 77], [66, 67, 70, 73, 74, 77], [66, 67, 68, 73, 74, 77], [66, 67, 68, 70, 74, 77], [66, 67, 68, 70, 73, 77], [66, 67, 68, 70, 73, 74]], [[88, 90, 91, 93, 96, 97, 98], [90, 91, 93, 96, 97, 98], [88, 91, 93, 96, 97, 98], [88, 90, 93, 96, 97, 98], [88, 90, 91, 96, 97, 98], [88, 90, 91, 93, 97, 98], [88, 90, 91, 93, 96, 98], [88, 90, 91, 93, 96, 97]], [[58, 59, 61, 64, 65, 68, 71], [59, 61, 64, 65, 68, 71], [58, 61, 64, 65, 68, 71], [58, 59, 64, 65, 68, 71], [58, 59, 61, 65, 68, 71], [58, 59, 61, 64, 68, 71], [58, 59, 61, 64, 65, 71], [58, 59, 61, 64, 65, 68]], [[19, 16, 15, 14, 11, 10], [16, 15, 14, 11, 10], [19, 15, 14, 11, 10], [19, 16, 14, 11, 10], [19, 16, 15, 11, 10], [19, 16, 15, 14, 10], [19, 16, 15, 14, 11]], [[34, 31, 28, 25, 23, 21, 18, 16], [31, 28, 25, 23, 21, 18, 16], [34, 28, 25, 23, 21, 18, 16], [34, 31, 25, 23, 21, 18, 16], [34, 31, 28, 23, 21, 18, 16], [34, 31, 28, 25, 21, 18, 16], [34, 31, 28, 25, 23, 18, 16], [34, 31, 28, 25, 23, 21, 16], [34, 31, 28, 25, 23, 21, 18]], [[9, 12, 15, 16, 19, 22], [12, 15, 16, 19, 22], [9, 15, 16, 19, 22], [9, 12, 16, 19, 22], [9, 12, 15, 19, 22], [9, 12, 15, 16, 22], [9, 12, 15, 16, 19]], [[11, 13, 16, 19, 20, 23, 24], [13, 16, 19, 20, 23, 24], [11, 16, 19, 20, 23, 24], [11, 13, 19, 20, 23, 24], [11, 13, 16, 20, 23, 24], [11, 13, 16, 19, 23, 24], [11, 13, 16, 19, 20, 24], [11, 13, 16, 19, 20, 23]], [[97, 96, 95, 94, 93, 92, 89], [96, 95, 94, 93, 92, 89], [97, 95, 94, 93, 92, 89], [97, 96, 94, 93, 92, 89], [97, 96, 95, 93, 92, 89], [97, 96, 95, 94, 92, 89], [97, 96, 95, 94, 93, 89], [97, 96, 95, 94, 93, 92]], [[33, 30, 29, 28, 26], [30, 29, 28, 26], [33, 29, 28, 26], [33, 30, 28, 26], [33, 30, 29, 26], [33, 30, 29, 28]], [[2, 3, 4, 5, 7, 8], [3, 4, 5, 7, 8], [2, 4, 5, 7, 8], [2, 3, 5, 7, 8], [2, 3, 4, 7, 8], [2, 3, 4, 5, 8], [2, 3, 4, 5, 7]], [[57, 60, 61, 64, 67], [60, 61, 64, 67], [57, 61, 64, 67], [57, 60, 64, 67], [57, 60, 61, 67], [57, 60, 61, 64]], [[23, 25, 27, 29, 31, 34, 37, 38], [25, 27, 29, 31, 34, 37, 38], [23, 27, 29, 31, 34, 37, 38], [23, 25, 29, 31, 34, 37, 38], [23, 25, 27, 31, 34, 37, 38], [23, 25, 27, 29, 34, 37, 38], [23, 25, 27, 29, 31, 37, 38], [23, 25, 27, 29, 31, 34, 38], [23, 25, 27, 29, 31, 34, 37]], [[70, 67, 65, 64, 61], [67, 65, 64, 61], [70, 65, 64, 61], [70, 67, 64, 61], [70, 67, 65, 61], [70, 67, 65, 64]], [[80, 79, 78, 77, 75, 72], [79, 78, 77, 75, 72], [80, 78, 77, 75, 72], [80, 79, 77, 75, 72], [80, 79, 78, 75, 72], [80, 79, 78, 77, 72], [80, 79, 78, 77, 75]], [[43, 40, 38, 37, 34], [40, 38, 37, 34], [43, 38, 37, 34], [43, 40, 37, 34], [43, 40, 38, 34], [43, 40, 38, 37]], [[56, 58, 59, 61, 62, 64], [58, 59, 61, 62, 64], [56, 59, 61, 62, 64], [56, 58, 61, 62, 64], [56, 58, 59, 62, 64], [56, 58, 59, 61, 64], [56, 58, 59, 61, 62]], [[54, 57, 58, 60, 62, 64, 67, 69], [57, 58, 60, 62, 64, 67, 69], [54, 58, 60, 62, 64, 67, 69], [54, 57, 60, 62, 64, 67, 69], [54, 57, 58, 62, 64, 67, 69], [54, 57, 58, 60, 64, 67, 69], [54, 57, 58, 60, 62, 67, 69], [54, 57, 58, 60, 62, 64, 69], [54, 57, 58, 60, 62, 64, 67]], [[36, 33, 30, 27, 26, 25], [33, 30, 27, 26, 25], [36, 30, 27, 26, 25], [36, 33, 27, 26, 25], [36, 33, 30, 26, 25], [36, 33, 30, 27, 25], [36, 33, 30, 27, 26]], [[48, 50, 53, 56, 59, 62, 63], [50, 53, 56, 59, 62, 63], [48, 53, 56, 59, 62, 63], [48, 50, 56, 59, 62, 63], [48, 50, 53, 59, 62, 63], [48, 50, 53, 56, 62, 63], [48, 50, 53, 56, 59, 63], [48, 50, 53, 56, 59, 62]], [[61, 59, 58, 57, 55, 53], [59, 58, 57, 55, 53], [61, 58, 57, 55, 53], [61, 59, 57, 55, 53], [61, 59, 58, 55, 53], [61, 59, 58, 57, 53], [61, 59, 58, 57, 55]], [[81, 82, 83, 85, 86, 89, 92], [82, 83, 85, 86, 89, 92], [81, 83, 85, 86, 89, 92], [81, 82, 85, 86, 89, 92], [81, 82, 83, 86, 89, 92], [81, 82, 83, 85, 89, 92], [81, 82, 83, 85, 86, 92], [81, 82, 83, 85, 86, 89]], [[37, 40, 43, 45, 47, 49, 51], [40, 43, 45, 47, 49, 51], [37, 43, 45, 47, 49, 51], [37, 40, 45, 47, 49, 51], [37, 40, 43, 47, 49, 51], [37, 40, 43, 45, 49, 51], [37, 40, 43, 45, 47, 51], [37, 40, 43, 45, 47, 49]], [[99, 97, 95, 92, 89], [97, 95, 92, 89], [99, 95, 92, 89], [99, 97, 92, 89], [99, 97, 95, 89], [99, 97, 95, 92]], [[30, 32, 35, 37, 38], [32, 35, 37, 38], [30, 35, 37, 38], [30, 32, 37, 38], [30, 32, 35, 38], [30, 32, 35, 37]], [[52, 53, 54, 57, 59, 60, 61, 62], [53, 54, 57, 59, 60, 61, 62], [52, 54, 57, 59, 60, 61, 62], [52, 53, 57, 59, 60, 61, 62], [52, 53, 54, 59, 60, 61, 62], [52, 53, 54, 57, 60, 61, 62], [52, 53, 54, 57, 59, 61, 62], [52, 53, 54, 57, 59, 60, 62], [52, 53, 54, 57, 59, 60, 61]], [[58, 56, 53, 51, 50], [56, 53, 51, 50], [58, 53, 51, 50], [58, 56, 51, 50], [58, 56, 53, 50], [58, 56, 53, 51]], [[30, 29, 26, 25, 24], [29, 26, 25, 24], [30, 26, 25, 24], [30, 29, 25, 24], [30, 29, 26, 24], [30, 29, 26, 25]], [[16, 15, 13, 11, 8, 6], [15, 13, 11, 8, 6], [16, 13, 11, 8, 6], [16, 15, 11, 8, 6], [16, 15, 13, 8, 6], [16, 15, 13, 11, 6], [16, 15, 13, 11, 8]], [[26, 23, 21, 20, 19, 18], [23, 21, 20, 19, 18], [26, 21, 20, 19, 18], [26, 23, 20, 19, 18], [26, 23, 21, 19, 18], [26, 23, 21, 20, 18], [26, 23, 21, 20, 19]], [[72, 71, 68, 67, 66, 63, 60], [71, 68, 67, 66, 63, 60], [72, 68, 67, 66, 63, 60], [72, 71, 67, 66, 63, 60], [72, 71, 68, 66, 63, 60], [72, 71, 68, 67, 63, 60], [72, 71, 68, 67, 66, 60], [72, 71, 68, 67, 66, 63]], [[18, 15, 13, 12, 9, 6], [15, 13, 12, 9, 6], [18, 13, 12, 9, 6], [18, 15, 12, 9, 6], [18, 15, 13, 9, 6], [18, 15, 13, 12, 6], [18, 15, 13, 12, 9]], [[70, 69, 68, 67, 66, 65], [69, 68, 67, 66, 65], [70, 68, 67, 66, 65], [70, 69, 67, 66, 65], [70, 69, 68, 66, 65], [70, 69, 68, 67, 65], [70, 69, 68, 67, 66]], [[64, 66, 68, 71, 72, 74, 76], [66, 68, 71, 72, 74, 76], [64, 68, 71, 72, 74, 76], [64, 66, 71, 72, 74, 76], [64, 66, 68, 72, 74, 76], [64, 66, 68, 71, 74, 76], [64, 66, 68, 71, 72, 76], [64, 66, 68, 71, 72, 74]], [[47, 45, 43, 40, 38], [45, 43, 40, 38], [47, 43, 40, 38], [47, 45, 40, 38], [47, 45, 43, 38], [47, 45, 43, 40]], [[9, 12, 13, 14, 15, 17, 19, 20], [12, 13, 14, 15, 17, 19, 20], [9, 13, 14, 15, 17, 19, 20], [9, 12, 14, 15, 17, 19, 20], [9, 12, 13, 15, 17, 19, 20], [9, 12, 13, 14, 17, 19, 20], [9, 12, 13, 14, 15, 19, 20], [9, 12, 13, 14, 15, 17, 20], [9, 12, 13, 14, 15, 17, 19]], [[50, 52, 54, 55, 57, 59, 62, 65], [52, 54, 55, 57, 59, 62, 65], [50, 54, 55, 57, 59, 62, 65], [50, 52, 55, 57, 59, 62, 65], [50, 52, 54, 57, 59, 62, 65], [50, 52, 54, 55, 59, 62, 65], [50, 52, 54, 55, 57, 62, 65], [50, 52, 54, 55, 57, 59, 65], [50, 52, 54, 55, 57, 59, 62]], [[17, 15, 14, 12, 10], [15, 14, 12, 10], [17, 14, 12, 10], [17, 15, 12, 10], [17, 15, 14, 10], [17, 15, 14, 12]], [[26, 25, 23, 22, 20, 18, 16, 15], [25, 23, 22, 20, 18, 16, 15], [26, 23, 22, 20, 18, 16, 15], [26, 25, 22, 20, 18, 16, 15], [26, 25, 23, 20, 18, 16, 15], [26, 25, 23, 22, 18, 16, 15], [26, 25, 23, 22, 20, 16, 15], [26, 25, 23, 22, 20, 18, 15], [26, 25, 23, 22, 20, 18, 16]], [[82, 80, 78, 77, 75], [80, 78, 77, 75], [82, 78, 77, 75], [82, 80, 77, 75], [82, 80, 78, 75], [82, 80, 78, 77]], [[96, 95, 93, 92, 89], [95, 93, 92, 89], [96, 93, 92, 89], [96, 95, 92, 89], [96, 95, 93, 89], [96, 95, 93, 92]], [[22, 23, 25, 28, 29, 32, 33, 35], [23, 25, 28, 29, 32, 33, 35], [22, 25, 28, 29, 32, 33, 35], [22, 23, 28, 29, 32, 33, 35], [22, 23, 25, 29, 32, 33, 35], [22, 23, 25, 28, 32, 33, 35], [22, 23, 25, 28, 29, 33, 35], [22, 23, 25, 28, 29, 32, 35], [22, 23, 25, 28, 29, 32, 33]], [[35, 37, 40, 42, 44, 47, 50], [37, 40, 42, 44, 47, 50], [35, 40, 42, 44, 47, 50], [35, 37, 42, 44, 47, 50], [35, 37, 40, 44, 47, 50], [35, 37, 40, 42, 47, 50], [35, 37, 40, 42, 44, 50], [35, 37, 40, 42, 44, 47]], [[74, 73, 70, 69, 67, 64], [73, 70, 69, 67, 64], [74, 70, 69, 67, 64], [74, 73, 69, 67, 64], [74, 73, 70, 67, 64], [74, 73, 70, 69, 64], [74, 73, 70, 69, 67]], [[19, 17, 14, 12, 11, 8, 5, 3], [17, 14, 12, 11, 8, 5, 3], [19, 14, 12, 11, 8, 5, 3], [19, 17, 12, 11, 8, 5, 3], [19, 17, 14, 11, 8, 5, 3], [19, 17, 14, 12, 8, 5, 3], [19, 17, 14, 12, 11, 5, 3], [19, 17, 14, 12, 11, 8, 3], [19, 17, 14, 12, 11, 8, 5]], [[62, 64, 67, 68, 70], [64, 67, 68, 70], [62, 67, 68, 70], [62, 64, 68, 70], [62, 64, 67, 70], [62, 64, 67, 68]], [[69, 71, 73, 74, 76, 78], [71, 73, 74, 76, 78], [69, 73, 74, 76, 78], [69, 71, 74, 76, 78], [69, 71, 73, 76, 78], [69, 71, 73, 74, 78], [69, 71, 73, 74, 76]], [[7, 8, 9, 10, 13, 14], [8, 9, 10, 13, 14], [7, 9, 10, 13, 14], [7, 8, 10, 13, 14], [7, 8, 9, 13, 14], [7, 8, 9, 10, 14], [7, 8, 9, 10, 13]], [[84, 82, 80, 78, 76, 75, 72], [82, 80, 78, 76, 75, 72], [84, 80, 78, 76, 75, 72], [84, 82, 78, 76, 75, 72], [84, 82, 80, 76, 75, 72], [84, 82, 80, 78, 75, 72], [84, 82, 80, 78, 76, 72], [84, 82, 80, 78, 76, 75]], [[18, 21, 24, 25, 26], [21, 24, 25, 26], [18, 24, 25, 26], [18, 21, 25, 26], [18, 21, 24, 26], [18, 21, 24, 25]], [[54, 56, 57, 60, 62, 64, 65], [56, 57, 60, 62, 64, 65], [54, 57, 60, 62, 64, 65], [54, 56, 60, 62, 64, 65], [54, 56, 57, 62, 64, 65], [54, 56, 57, 60, 64, 65], [54, 56, 57, 60, 62, 65], [54, 56, 57, 60, 62, 64]], [[62, 63, 66, 68, 70, 73], [63, 66, 68, 70, 73], [62, 66, 68, 70, 73], [62, 63, 68, 70, 73], [62, 63, 66, 70, 73], [62, 63, 66, 68, 73], [62, 63, 66, 68, 70]]]\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"correct = 0\n",
|
|
"B = []\n",
|
|
"for i in range(len(A)):\n",
|
|
" linetemp = []\n",
|
|
" linetemp.append(A[i])\n",
|
|
" for j in range(len(A[i])):\n",
|
|
" temp = A[i][:]\n",
|
|
" temp.remove(A[i][j])\n",
|
|
" linetemp.append(temp)\n",
|
|
" B.append(linetemp)\n",
|
|
"\n",
|
|
"print(B)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 236,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"320\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"correct = 0\n",
|
|
"for i in B:\n",
|
|
" for ii in i:\n",
|
|
" ok = True\n",
|
|
" for j in range(len(ii)-1):\n",
|
|
" if not (ii[j] - ii[j+1] in [1, 2, 3]):\n",
|
|
" ok = False\n",
|
|
" break\n",
|
|
" if ok:\n",
|
|
" correct += 1\n",
|
|
" break\n",
|
|
" ok = True\n",
|
|
" for j in range(len(ii)-1):\n",
|
|
" if not (ii[j] - ii[j+1] in [-1, -2, -3]):\n",
|
|
" ok = False\n",
|
|
" break\n",
|
|
" if ok:\n",
|
|
" correct += 1\n",
|
|
" break\n",
|
|
"\n",
|
|
"print(correct)\n",
|
|
"\n"
|
|
]
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "Python 3",
|
|
"language": "python",
|
|
"name": "python3"
|
|
},
|
|
"language_info": {
|
|
"codemirror_mode": {
|
|
"name": "ipython",
|
|
"version": 3
|
|
},
|
|
"file_extension": ".py",
|
|
"mimetype": "text/x-python",
|
|
"name": "python",
|
|
"nbconvert_exporter": "python",
|
|
"pygments_lexer": "ipython3",
|
|
"version": "3.12.3"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 2
|
|
}
|