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Day 4

pull/1/head
Maya Herrscher 7 months ago
parent
commit
e48758bd3a
  1. BIN
      2024/day04/__pycache__/code.cpython-313.pyc
  2. 75
      2024/day04/challenge
  3. 50
      2024/day04/code.py
  4. 10
      2024/day04/example
  5. 140
      2024/day04/input

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2024/day04/__pycache__/code.cpython-313.pyc

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75
2024/day04/challenge

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--- Day 4: Ceres Search ---
"Looks like the Chief's not here. Next!" One of The Historians pulls out a device and pushes the only button on it. After a brief flash, you recognize the interior of the Ceres monitoring station!
As the search for the Chief continues, a small Elf who lives on the station tugs on your shirt; she'd like to know if you could help her with her word search (your puzzle input). She only has to find one word: XMAS.
This word search allows words to be horizontal, vertical, diagonal, written backwards, or even overlapping other words. It's a little unusual, though, as you don't merely need to find one instance of XMAS - you need to find all of them. Here are a few ways XMAS might appear, where irrelevant characters have been replaced with .:
..X...
.SAMX.
.A..A.
XMAS.S
.X....
The actual word search will be full of letters instead. For example:
MMMSXXMASM
MSAMXMSMSA
AMXSXMAAMM
MSAMASMSMX
XMASAMXAMM
XXAMMXXAMA
SMSMSASXSS
SAXAMASAAA
MAMMMXMMMM
MXMXAXMASX
In this word search, XMAS occurs a total of 18 times; here's the same word search again, but where letters not involved in any XMAS have been replaced with .:
....XXMAS.
.SAMXMS...
...S..A...
..A.A.MS.X
XMASAMX.MM
X.....XA.A
S.S.S.S.SS
.A.A.A.A.A
..M.M.M.MM
.X.X.XMASX
Take a look at the little Elf's word search. How many times does XMAS appear?
Your puzzle answer was 2493.
--- Part Two ---
The Elf looks quizzically at you. Did you misunderstand the assignment?
Looking for the instructions, you flip over the word search to find that this isn't actually an XMAS puzzle; it's an X-MAS puzzle in which you're supposed to find two MAS in the shape of an X. One way to achieve that is like this:
M.S
.A.
M.S
Irrelevant characters have again been replaced with . in the above diagram. Within the X, each MAS can be written forwards or backwards.
Here's the same example from before, but this time all of the X-MASes have been kept instead:
.M.S......
..A..MSMS.
.M.S.MAA..
..A.ASMSM.
.M.S.M....
..........
S.S.S.S.S.
.A.A.A.A..
M.M.M.M.M.
..........
In this example, an X-MAS appears 9 times.
Flip the word search from the instructions back over to the word search side and try again. How many times does an X-MAS appear?
Your puzzle answer was 1890.
Both parts of this puzzle are complete! They provide two gold stars: **

50
2024/day04/code.py

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#!/usr/bin/env python3
import sys, re
import numpy as np
from scipy.ndimage import rotate
from collections import defaultdict
# copied from stackoverflow
def groups(data, func):
grouping = defaultdict(list)
for y in range(len(data)):
for x in range(len(data[y])):
grouping[func(x, y)].append(data[y][x])
return list(map(grouping.get, sorted(grouping)))
def a_cross(puzzle, x, y):
if puzzle[y][x] != 'A': return False
elif x == 0 or y == 0 or x == len(puzzle[y])-1 or y == len(puzzle)-1: return False
elif ((puzzle[y-1][x-1] == 'M' and puzzle[y+1][x+1] == 'S') or (puzzle[y-1][x-1] == 'S' and puzzle[y+1][x+1] == 'M')) and ((puzzle[y+1][x-1] == 'M' and puzzle[y-1][x+1] == 'S') or (puzzle[y+1][x-1] == 'S' and puzzle[y-1][x+1] == 'M')):
return True
else: return False
if __name__ == '__main__':
puzzle = [line.strip('\n') for line in open(sys.argv[1])]
words = re.compile(r'(?=XMAS|SAMX)')
res1 = len(words.findall('D'.join(puzzle)))
npuzzle = np.array([list(p) for p in puzzle])
# rows = groups(puzzle, lambda x, y: y)
#cols
res1 += len(words.findall('.'.join(['.'.join([''.join(l) for l in groups(npuzzle, lambda x, y: x)])])))
#fdiag
res1 += len(words.findall('.'.join(['.'.join([''.join(l) for l in groups(npuzzle, lambda x, y: x + y)])])))
#bdiag
res1 += len(words.findall('.'.join(['.'.join([''.join(l) for l in groups(npuzzle, lambda x, y: x - y)])])))
res2 = 0
npuzzle = np.array([list(p) for p in puzzle])
for y in range(len(npuzzle)):
for x in range(len(npuzzle[y])):
res2 += int(a_cross(npuzzle, x, y))
# challenge 1
print(f"challenge 1:\n{res1}\n")
# challenge 2
print(f"challenge 2:\n{res2}")

10
2024/day04/example

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MMMSXXMASM
MSAMXMSMSA
AMXSXMAAMM
MSAMASMSMX
XMASAMXAMM
XXAMMXXAMA
SMSMSASXSS
SAXAMASAAA
MAMMMXMMMM
MXMXAXMASX

140
2024/day04/input

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SXMSMMXMASMSSSSXAMXMXAMXXAAXMAMSAMMXMAMXSAMXMXMMMMSMMXMXMASMMSMMSSSMAXXMSMSSXMASMXSSSXSMMSSSSSXMASXSAMXSMMSSMXXXXXMASXMXMSSSMMSSMSSSMMMMSSXM
SAMAMSMSMSXAAMAAXMSXMSSSXSXMSMMSASASXSMSMSSMSSMXAAMXMASXSAAMAXASAXMASXSASMASMMSMMAMXSAAXAAXAAAASAMAXAXASAAAAMMSMMSMMMASASAMXSAAAAMASMAASMMAS
SAMXSAAXAMMMMMMXAXSAMMAMAMXMAAXSXMASAAMSXAXAAAXSMSSSSXSAMXMMASMMMSXAMSAAXMAMMMAAMASAMXMMMSSMMMMMASMXMMXSMMSXMAAAAAAAXMASMASAMMSMMMAMMMXMAMAM
SAMXSMSMAMAAXSXSSXSAMMAMAMASXSMSXXXMMMMSMMSMMXMSAAAMXXMXMXXMXXXASAMXMSMSMMXXAXXXMAXAMSXXAAMXSAASMMMSXAAXMAXMSMSMMSXMXMMMSXMXSXMMMMXSXSMSSMMS
MSSXMAXMASMSSMAXMAMXMMASAXMXAMAMXMMMXMXMAMXXAXSMMMSMXMMAMMXMAMSMMMSSXSAXMSASXXSXMSSMMSAMMMSAMMMMAAAAMMMSSXMAMAAAAMMSXXAAXXSASAAAXMASAAAAMAXA
XAXASMXSAMAMAMMMMAMASMMMMSXMSMSMSAASXSXSAMAMSMSAXSAMXAAAXMAMAMAAMAAMAMAMAMASAASAMAAXAXAMASMMSSSSSMMSAMAAMAMAMSSMMSAMMSMXXMMASMSMMSAMXMMMSMMM
MMSMMMAMMSXSAMAASAMXMAAAXMAXMAXAMSMSAMASXSXAMASMMXAAXXXMXMMMASMSMMSSSMSMSMAMMMMAAXXMXMMMXMAAAAXAAMAMMMMASMMXXAAAAMAMMAMXMXAAMXMAAMXSASXMAXAX
XAAAAMMSAAASXMSASASXSSMMSMMMSAMSAMXMAMAMMAMSMAMMXSXMSMSASXMSXSAMXMAXMAXXXAXXXASXMASMXSAMSSMMSXMXMMAXXASAMAASMSSMMSSMMASAASMXSAMMMSMSXSASASXS
MSSMMSMMMMMMMMMAXAMAAXMASASASXMXMAMSAMXXSAMXMAMMXSMAAAMSMAASAMXMSXMXMAMSSMMMSASMMXXAASXMAAAMAAMSXSSSMMMSMMMSXAXXXAAXSAXAXMAASXSAMXAXXSAMXSAS
XAAASXXAAMAAXAMSMMMXMMMMXAMAXAMXAMMSXSXMXSSXSAXXASMMMSMAMMMMAMMAMXXXMASXMAAXMAXASMMMMSAMSSMMMXMAAAMAAMAMMMSMMMSMMMSAMAXSAMXMSAXXSMMMAXAMAMMM
MMSMSAXSSSMMMMAXAXMASAXSMSMXSAMXXXAMMMMMAMMMSMSMASXMXMMMMAXSMMSASMSSSXMASXMXMMMAXMAMSSMMMAMXXSSSSMSSMMASAMAAAAAAAAMMMXMAASAXMXXMXMASMMSMMSAS
AXAXMAMMAXAXAMSMSMMAXMXSAXAMSAMXMMMSAAAMAMSAMXAMAXASXMASMMMMMASAMAXAAXSMMMXAAXMXMMMSAMASXAAAAAAAXAXXASASMSSSMSSXMXSXXXMXAMXXSSMMAMMAXSMAXXMA
XSASMMMMAMMSXSAAMAASXSASXMAMMSMASAMXMXXXAXMASXXSSSMMXMASAAXAMMXXMSMMMMMAAAXSXXMSASXMASXMSAMMMMMMMMMSMMXSXXXMAXMMSMSMSMSAMASXSAAAASMMMAMMMSXM
XSAMMAXMMMMSMSMSMSMMAMASASXMAAXXMASAXXSMSSSMMAXAAMAAXXASMMSSSSMSAMASAAXMMMMMAAAAMMASXMXMAXXXAAAMXSASAXMMMSSMXMAXSASAAAXXSAMXMSMMXMAASAMSASAX
AMAMSXSXMASMAMAMMMAMMMXMXAMMXSSMXXMAMSAMXAAMASMMSMSASMXXAASXAAASASAMSSSSSXASMMXMASAMASMMMAMXSSXSAMXSAMSAMXAMASMMMAMSXSXXMAXAXMMSMXSMMMMASXSM
AMMMXAMASMMMAMAMSSMMXSASXMMSAMAMAMMMMXAMMXMAAXMXXAMXXAXXMMSMSMMSAMAXXXAAAMXAXMXMAMASAAAAAAMXMMXMMMXMMMSASXMMXAAAMXMXXMMMSSMMASAAMMMMASMMMMMM
MSSMSAAAXAASMSMSXAXMMSASAAAMASMMASAMMSMMMXXMSSSMMAMXMSMXSAMMASMMMMSSMMMMMXXSXXAMAXAMXSSMSMSAAAXMAMXAMXXMAAXAMSMSXMXMSMAMAMAMAMMMXAASAXMXXAAM
MAAXSAMXMSMSAMXSMXMXAMAMMMXMMMXSMSASAAMAMAXXAAAMSAMAMAAMMAMSAMMAAAXAAAXAXMMMMMMMSXMMAAAAAASMSMSMAMSAMXMXSSMXAMAMMMAXAXAXXXAMASXXSSMMMSSMSSMS
MMSMSXMAMXMMXMAMMSMMXXAMXXSSXSASASAMMXSAMSSMMSMMSMSMSASXXAMMMMSXMXSSSMSMSMAAAASMMASMMSAMMMMAMAMXXXASMMSAAAASMMAMAXSSSXSSMMASASMXAXAAAAAAAAAS
MMAAXAMXXSAMXSSMASMAMXSXSSMASXAMMMMMXMXAMAAXXAXXSXSASAMMMSSMMASMMMXAXXAAAMMMSASAXXMAAAAXMXMAMAMMMSMMXAMMSMMAAMMXSMMAXAMAMSAMAXAMMXSMMXSSMMMS
MSMSMMSAMXAMAMAMAXMASMMAMXMXMMSMSAMSXMSSMSSMMSXXMAMAMAMSAAAXMASASMMAMSMSMSMAMXSAMSMSMSSMSASASASAAXXXMMMMAAMSMMSAMASAMXMAMXMMXMSXSAXMAXMAMMAX
AAXXAAXAXMAMXXAMXXMASAMSMMMSMAXMMAMMAMAMMXAMAXSMMSMSMXMMMSSMXXSAMXMAMXAAAAAMXAMMMAAXAAXASXSAXXSMSMMXMXSSMSXAAAMASMMMSXMAMAXMXXXAAXSXMASAAMAM
SXXMMMSXMMSXMSSSMMMASXXAAAAAMAMMMSMXAMASMXAMXMASAAXMSMXMAXAAXMMMMASAMMSMSMSSMAXMXMXMMMMAMMMMMMXMXASAMAMAAXMMMMSAMMASAASASXSXSAMMMSMMXXMAMMAS
AMSXSAMXSAMXAAAMAMSXMASXXMMSXSAAAXASMSXAMMXXAAXMXSMMAXMXMSMSMXAXSXSASAAAAXAXMAMSMSMXMMXXXAAAXXAMXSMXSASMMMXXAXSXAMMXMAMXAAAAXAAXXXMASMXSAMAM
XMAXMASAMASXMMSMSMSASXXMASXMAMMMMSASAAAMXASXMSMSMMASMMMAMMAMASAMMASAMXSSMMMSMSXSAAAASAMXSMSSMSASMAAASXSAMAMSMMMXSSSSXSMSMMMMMXSMXMMASAAAAMXS
SAMXSAMXSMMXMAXXXASXMXAMXSAMAMXXXMXMXMMXMMAAAAAAASAMXMSASMAMXXXAMMSMMAMAMXXAMMAMSMMMSAAMMMMAMSAAXMMMSASXMAMAAAXAXAAMAAXAXMAXSXMMSAMXMMMMXMXM
MAXAMASXSAMXSASXMAMXSXMAMMAMMMXMMXXXSMSXSMSMMMSMMXXSAMSASXMXAMXMSAMXMXSAMSSMMMAMXSXMXMXSAMSAMXMAXMAXMMMMSSSSSMSXMMMMSXSSSSSSMXAAMXMXSASMMMMS
SXMASMMMSAXXMASAMXXAXASMXXMMXXMSAAMMMMAMSAXAAXXXXSMMAMMAMMSMSSXAMXMXXAXAMMAMXSAMMAMSAMASAMXASMMSMSMSSXAASAAXXAAMMXMAXMAMAMXAMSSMSAAAMAAMAAAX
MAMAMASASAMXMAMXMMMMSAMXXSSSSXAMXMMAAAASMAMSMSMSMMXXXMMMMASAAAMMMSSSMSMSMSMMMMASXAMMMMASAMSSMXAXXXMXMSMSMMMMSSMAAXMXXAXMXMSAXAAASMXXMMMSSMSS
MMMASMMAXXAMMMSMMMAASXMMMAAAMMAMXMMMMSMSMSMXXMASAAASMMXSMASMMXAAAAAXAMAMMMAAMMMMMXSXXMASAMMXAMXMMMMAMSXAAXMAXAXSSXSMXSXSMASXMMSMSASMXSMAXXAX
SASXSXMMMSXXMAAAASMMSASAAMMMMASMSSMSAXAXAAMMSSSMMMXSAMMMMXXAXXSSMXSMSMAXAMSMSASASAAXMAXSAMXMMMAAAAXAXXAXXMMXSAMXAASAMAAAMAMAMAMXMAMXAAMASXMM
AMSAMXMMASAMXSSSMSMXSAMXSXXMXSAAAAAAAMAMMMSAMXAMXMXSXMAMXASXMXMAAXMXMMXSMMMXSASASMAMSXAMAMMAMSSXSSSSSMMSAAAXAMXMMMMSAMXXMASXMASAMSMMAMMXXAAA
SXXAMXMMAXAAMAMAMXAAMAMXXMAMXXMMMMMMMMXMSAMASXMMAXMSASXXMAASMSXMSMXAXSASXSAAMXMXMASMXXXXAMAMXAXMXAXAAMAAXMMSAMMXSXXAXXMXXAXAMXSAMAAMMXMAXSMM
ASXSMXMMSSMXMAMAMMMASAMXMSMXXSXMAXAXMXAAAASAMAASASASXMAASXMXXAAXAXSMMMXMASMXXAMXSAXXSMMSMSSXMASMMSMXMMMXXMXMAXSAMXMMMAMXSSMSMMMMSSMMMAMSMXAA
MAMAAXXAMAMASMSSMMXMMASXMAMXMASASXSSMMSMSAMXSSMMMMAMMMMMMAASMSSMMXXXASAMXMMMSSSMMASAMAXMXAMXMSAMXMASMSSMSSSSMMMASMAAMAXAAAAXMAAAMMSXSAAAASXM
XXMAMMMXXAMAAAAAASXMMMMMSASXMASMMXXAXXXAMXMAMMMXXMXMAMXMSMMMAAAAXSASAXXMMAXXAAAAMAMXMSMSASMMXMAMXMAMAAAAMXAAAXSMSMMSMSSSMMMMSSSMSAAMSMSMXMAA
XXASASXASXMSSMMSMMAMASXXSAXXSAMASXSSMMMMMAMXMAMXMMAMXMAAXXXXMMXMMXAMMSSMSAMMMSMMMASAXMAMMXAXAMAMSMMXMXMMMMSMMXMAMMSMAMAXAMXMMMXAMMMXXAXMASXM
XMAXAAXMASAAXMAXAXXMAMAAMAMXMXMAMAAAMAAMSXSSSSMASAMMSAMXMASMXSXMXMXMMAXAAAMXAXAAMXSAMMSMXSAMASAMAAAMSASASAAAXMMAMSASMMAMMMAMAXMXMSMSMSMMMXAA
SXAXXMMXAMMSMMMMAXSMSXSAMAMXAAMSMMMMMSXMXMAXAAMASAAASASAMMMMAXMAMSAMXMMXMMMMXSSMMMSAMAMXAXAMXSXMSSMXSASAMSSSMMSMSMAMXMXMMSMSMSAMXAAXAAAMSSMM
AMXSSMXMXMSAMASMXMMAXAMXSXSMMMXMAMMXXXSSMSMMSMMMXXMASMSASXAMXSMMMMSAAXMMMAXMAXASAASXMXXMSSMMXSAXMAMXMMMAMAMAMAAMXMAMXMSSMSAXMAMXSMSMMMMMAASX
MAXAMXAMMMMASAXAMXMAMAMAAAMXSAMSSMAAXMASAAMMMMSSMXMAMMSAMMSSMMMSAAXXXXMASMSXMMAMMMMASMSMMAMXAXMMSAMXMXSAMXSAMSMMASASAMAAAMXMMSMMXAAXXAAMSXMM
XSMXXSXSAXSAMXSSXMASXXMXSXXAMAXAMXXMMMMMMMSAASAXAXMXSAMAMAXXMSASMSMASMMMXAAXXMAMSASXMAAMMAMMMSXXMAMSAMXMMXMXMMXSAXXMMSSMMMMSAAASMSMSSSSMMASA
SXSAAMMSAMMXMAMXASAMXSMMMAMSSMMSSMSMSAAMMXSMSMMXSAMAMXSAMXSMXMASAMXMMAMAMXMMXMSXSASMASMSSXMAAMXMSXMAMMAXMAMMMMXMMSMSAMXMAASMMSSMAAXXXAMAMAAS
SASMXMAMXMAXMAXMAMXSAMXAMAMAAMAMAXAAXSMSAASXXMXAXAMAXMMAXMAXAMAXMASXSSMAXSAMXAMXMMMXMAXAASMMSSSXSAMSMSSSSSXMAMXAAAXAMASXMXSAMXMASASMMXMAMMMA
MAMXMSSSSSSSSSSMSMMMXSAMXAMXMMASMMMSMXMXMASAMXMXSASXSMSAMSMXXXMXXASXMASAMSAMXSSSXAAXSMMMSMMAXAMASAMMAXAAXAASASXMMMSAMXSAXASMMAXMASXAXMSXSSSM
MAMAAXAAAAXAAAMAAAAAMMASMXMASMXSMMMAAXAMXAXAMAAXSAMXAASXMAMMSAMSMXSASXXXMMAXAXAMMMSXMXMSMMMSMAMAMAMMAMMMMSMMASXASAMXXXSAMXSASMSXXMMMMMMXMAAX
MAXXMMMMMMMMMMMSSSMSSXAAMXXMXMAMAAMMXXSSMMSAMXSAMXMMMMMXSXXASAMXMMSAMMMMSSSMXMMMASMMXAXMAXAMXXMXSAMXXAMAMXAMAMMMMMSMAMMASXSAMXMXAMAMXXXAMSMM
SSSMMAXAXXXSMSXMAAAAMMMMXASXMSSSMMSMSMMAAASXMXMXMAXAXSSMMSMASXMAMAMSMAAAXAXAAMASMSAXXMSSMMSMMMMXAASMSSMAMSAMMSMSAMAAXXMAMMSASAMMSSSSSSSMMAMX
XAAASXMMMAAMMSAMXMAMXMASMMSAAAAMMSAMAASMMMMMMASMSMSSXMAAAXMMMMSASASMSXSXMXMSASASXSXMSMAAAAMAAAMAMMMAAAXAMAMXAAMMASMSMXMAMAMMXAXAAAAAAAMSAAMX
MMMMMMASMSMXAMXMAMXXMSAXAASMMMMMMSASXXMAXXASMXMAMXAMASXMMSMAMASMSXSAMXXXMMXAXMAXAMMAAMSSMMSSMMMMSMXXMSMXMXSMMSMSAMXMASMMMSSSSSMMSSMMMMMAMSMM
ASXSMSASAAAMSSMXXSAAXMSMMMSXMXMAXSAMXMMSMSXSAXMMMMASXMASXXXAMASASMMXMAMAMSXMAXSMASASMXMAXMMMMSMSAMXSAAAASASAXAAMASXMMMAMXMAMAMMMAMMXXXXMAXXA
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MMMMMMAMXXXASAMMAMAXMAMAMAXAMAXSXAXMAAAMSMXMAMAAAMMMSMAMMXMMMMSASAAMSASXSAMAMMSASMAMAMMMSSSMSSSSSMSMXMAAMXMAAXAXMASMMAMSXSXSXSMSASXXXASMSSSM
SAXMASMMXASXMAXMSSSXMSSSMSMSMMMMMMMSSSSMMMAXAMMSMXSAAMSSSSSMSSSXMMXXMASASXSXSAAAMMMMMSMXAAAAXXMAXAMASXSSMMMSMSMSMXMMAMXMASMMXSXMXMASMMMAAAAS
SMMMXMAASMMMXSMAXAMASAAAAXAMXSAXSAAMMAAMXXSSSSMXXAMMASXAAAAAXASAXMXMMMMMMMMXMXMSMXSAMAAMXSMMMSMAMXMASAMAXAXAAAAAAAXMAXXMAMASAMMXSAAXAAMMMXMM
MAAXAXMMSAAMAXMMMAMXMMXMMMASXXASMMXMMMMSXXMAXMXSMASMMSMMMSMMMSMMMMMMAAAAAAXAMXXAAASASMSMMMASAMMXSMSAMAMMMMSMSMSMSMSSXSXMASAMAMAXAMXMSMXSSMAX
XSXSSSMASXMMMMASMMXMAXXXXMSMASXMXMMSSMASMMMAMMASMAAAAXXXAXXXSXSXAAASXSSSSSMMSAMXMMSAMMAMXSAMAXXAXAXXMAMXAXAXAMXAAXXMMMAMAMXSMMSMMSMXMMSAXSXM
MMXAAMAMXXXMXMAMMXAAASMMAXXMAMMAXXAAAMXMAMXMMMAXMSSMMSXMMMMXMASXXXMMXAMMAMXSAMSAXXXMXSAMMMAMXASMMMMMSMMSSSMSAMXXXSAAAMAMASMSXXXAXAXAAXMMMMXM
XMASMMSAMXMXSMMSMSAXMAAXSSSMSSSMMMMSSMSSSMMSXMMSAAAAAXMAMASAMXMASMSSMSMMAMSXAMSMSMAMXMAXMMAMXMAXAMAMASAAAAMAMASAAXMAMSASMMMXMMSMMMSMSMMXMMAA
ASAXXAMAMASAMXMAMMMMMSAMXAAAAMAAXXAMAMAAXMAMAMSSMSSMMSAXSASASAMAMAAXAAXSXSSMMMXMAMAMMSMMSSMSMXMXXXASMSMMXSMMSAMMAMAXMSAMAXMMSAAAMXXAXAXAAXAS
MMAXMXXAXSMMXXSASXSAAXMMMMMMMSSMMMAMAMMXMMSSSMXSAAMAMXXXMXXMMMMSMMMMSSMMXXXAAAASASXMXAAAMAAAXAXXMSASXSASAAXAMXSXMMMMAMMSMMXAMXMMMMMMMSSSSSMM
MMSMMSMXMMASAASMSAMXSXMXASXSAXXAXMASMSXAMMAAXSSMMMSMXMASMSSSSXAAAAXMAMMSSSSSMSMSXSAMSSMMSMMMSASAAMAMASAMSSMXSMSMSAASXMAAXAMSSSSSSXSAAXXMAAAX
XAXAAMMMASAMMMMAMMMMAAMSMSASXMSMMMMAAMXXSSMMMXMAMXMMAXMASAAAXMSSXMSMASXAAMAAAXAMAMAMAAMMAXXXXAXMXMAMAMAMXXXXAAXXMSXMAMSSMMAXXAAAMAXMXXAMSMMM
MMSMMSXAMMMMXXMMMXMMMSMAAMAMAAAXXMMXAMXXMMAMMMSXMASMSSSXAMMMMMMXAASMASMMSMSMMMASMSSMSXMMAMMMMSMMMSASASMMMAMSMMMSMMMSMMXAMXSXMMMMMMMMAMSAMXAA
XXAAAXMSXSMSSXSAMXSAAAXXMMAMMSMSASMSAMXAXSAMAAAASMMMXMAMMSXXXSASMMMMAMAXAMXMAMXAXAXAXMMMXMAAAMAAAXASASXAMAMAMAAAAAAAMXMAMAXASASXAASMASAAMSSM
XSSSXSAXASAAXXMASASMSMSSXSXSXAMAAAASAMSMMSXSMSSMMMSSSSMXAAXMAMMSMAMASXSSXSXSSSMSMMSAMXSAMSSSSSMMSSMMAMMXXAXASMMXSMSMSASAMASMMXSSSXSSXSAMXAMA
XMAAAXAMMMMXSASAMAXXXMXMAMAMXXSMSXAMAAMAMXMSAMXAXSXAAMXMMSSMAMXXXAXAAAXMASXAAXAAAXMXMAMAMAAAAAMMXXXAAMMMSSSMSXSAAAAMSMSXMAXAMAMMMMMMMMAXMASM
MMMMMMXMXAXAXAMSSXMSSMAMAMAMMMXMMMXSMMMAMXAMSMMSMAMMMMAASAXXAMXMXSSMMMMMAMMMMMMXSXMAMXMMMSMXMASMMSMXMAXMAMAAXAAMMMMXSAMXMSSMMAMAAXAMXXXMMAMM
AAXMASAMXXSMXMAMXAMXASMSXSXSXXAAXSMXASXSSSSMAXXMMMASMSASMXXMXSXSAMXMASAXMAMSAAXSMMSASMXXAMXXXXAXAAXMXSMMSSMMMSMSSXXAMAMMMXAXSASXXSAMXXSAMAAX
SMXXAMASXMXXSXSXSMMSMMMMMMXMAMMSASAMXMAXAAXSSXSMAXAMXMMAMMSSXSAMSSXSASXMAMXXXXXAAXSASAAMSMSMMSMMSMMSAMXAAAASXMAAXAMXXSMMSMMMMASAASMSAMSAMXSM
XAAMXSMMAXSAMXMASMXXAAAXSSSMXSAMXXMAMMMMMMMAXAXSMMAMAMSASAXMASMSAMXSAMMSMXMXSSSSXMXMMMMMMAMAAAXMMXAMASMMSSMMAMMMSMXMSMAAXAAAMXMMMMXMAMSAMAXM
AMSSMAMSXMMAAMMAXMXMSSSMAAAAAXXSAMMSXAAAAMSAMSMSXMAXAXSAMASMMMXMAMAMAMMAMMMMAAMXXMXXMMSXMAMSSMSAMXXXAMXMAXASXMAMAMASASMMSSSSSMXXMMMSSMXAMXMX
SXAAMAMMMXSMMMSAMXSMAAMMMMMMMMMXAMXMSSSSSXMASMAMMMMXMMMXMASASMMMSMXMAMXAMAAMMSMMAMAMMAAAMSMMAAXMMSSMASMMAMMMMXAXASMSASMXAMAMAAMXXMASAMSXXXXX
MMSSMXSXXAXASASASASMMXMMXSXASASXSMXXAMXAAXSXMMSMSASASXSAMMSMMXMAXASXSSSSSSXSAMASXSASMMXSMAASMMSXAAAMXMASXSAAAXSXMSXSAMXASMAMXSAMXMXSAMAMMMMS
MAMXMASMMSSMMASMMASXSMSAASMXSXMAAMMMSSMSMMAMXXAXSASASASMSMMXSAMXSAAAAMXMAMAMASAXASAMXMAXMXMMAAXMMSSMXXXAASMMSMMAXXAMXSXMXSMSXMMMMSASAMMAAAAA
MASAMASXAAAAMAMMMSMAXAMMXMAXXMMSMMAAMXXAXMASXSXMMMMAMAMMAXXXMAMAMXMMMMAMAMMSMMASMMSMAXMMAMSXMMSMMAXAMXMMMMXXMASMMMXMAAAXAXXMMMAXAAAMXMXSSSSM
SASXMASMSMSMMMSXSAMXMSMSMSXAAMMMXSMMSASMXMAXMAXSAMMSMXMSASMMSSMMSSMMMSXSASXSASAMXAMSXMXMSMSASXAASMMMAAXXXXXXMAMMASAMXMXMMSXMAMSMSMSSMXXMAMAX
MASAMXSMMXXAMXSMSASAMXAAASMMMMAMMMXSMAMMAMMXSAMXAMAMAMAMAXAAAAMXAXAAMMMXMXXXAMXSASMMSAXXMASAMSSXMAXMSXSXXMASMAMSSSXSSSMAAMXMAXXAXAMAAASXMSSM
SAMXXMSASASASAMAXSMAMMMMSMAXMSMSAMSAMXMXAMMMMASMSMMSAMMMSSMMSSMMSSSMSXAXSSSMAMAMAMAAXSMXMXMXMXMAMMMXAASMSAMXMAMMAMAXAAXMMMXXMXMAMXMMSMMAXAMX
MAXMAXSAMASXMAXAXXXAXXAMAMMMMMXSASMMSMSSMXAASAMMMAAXASXAAMMMAAMXAAAAXMMSMAXSAMASASAMMXXMMMSMMAXAMXSMSXSAXXXMXMXMAMXMXMMXASMAMSMMMAXXXXSSMSSS
SAMASMMXMAMMAMXSSMSMXSASASMSXSAMXMMAMMXAASMXMXSXSMMSMMMMXMAMXAMMMSMMMMMAMMMSXMXMXSASAXMAMAAAMMSSXXMAXAMXMSMSAAMSSMAMMAXSAXSAMXAAMMXMXMXAAAAA
MASMMAAXMASAMXAMAAAMXXAMASMSAMXXXMMASMSMMMMAAAMMMMMAMXSSXSXSASAMXAAAAASMMXXMASASMSAMXSASMSSSMXAMXSMSMMMSXAAMMMMAAMASMMMAMMSMSMSMSSSXAMSMMMSM
SAMXSMMXMASASMSSSSSMMMMMXSAMSMMMSSSMMMAAMASMMAXAAASASXAXAAASAMXSSSSMSAMXSXAASAMXAMXMAMXMXXMAMMASASAAAAAXSMSMSAMXSMXMAAXMMXXXSAAAAAMXXXAMXMAX
MMSASAXXMASAAAAAAAMAAAXMAMXMMSAASASAXXMXSASXXMAMSXSASMSMMMMMAMMMAMXXMMXMAXMXXMXMSMAMMMAMXMMMXSSMAXXAXMSMMXXAMASAAAASXMMXMAMAMSMMMXMASMMSSSMS
SMXAXMMSMASMMMMSMSSSSSSMASXMAMMXSAMXMMSAMXSMMMSAAXMXMAMSXAXAMXMMMMSXSSMSAMSASXMAXSMSSSMSMSAXASAMXMXSAMXAXAMXSAMMSMXAMXSAMAMXXAXASXMMSAXXAAAA
MMMSSMAXAMSAXMXXAAAAAAAMASMSMSMAMAMXMAMASMMXSAMMAMXAMSMSSMXXMAXAXXXAAAXMAMMASXMAXAXAXAAAAMASMSXSXMAMMXSXMSSMMXMAXMMXMASAXXSMSXXXSAAXSXMMSMMM
SXAMAMXMMXMASMMMSMMMSMMMMMAAAAMASAMMXAMSMXAAMAMXAASMSMMMSMASMMSASMMMMMMMAMMXMAMXMMMSSSMSXSAMXMASMMMSMAMMMXAMXAMXSMSXMASMMSMMXSSMSMMMMAAXMXXX
AMSSMMXMSAMXMAAAAXXAAXXSXMSMSMSASASXMSSXAMMMSAMSMMMMAAAAMXXSAAMAMAAXMXSXXSMMSSMAAXAMXAAAAMXMAMXMAMXAMASASXXMSXSMAXSMMMSAMXAAAXMASAMASXMMMMAM
MXAMXMAMAASXSSMMSSMSSSMXAXMAMMMAXXMAAMAMXMAXXMMMXAAXSSMSXMAMMMMXMSMMMASXAMXMAAXSMMSSSMMMSMMMXXSSMMSXMASAMXAXAASMSMMAAAMXMSXMASMAMAMMSMMAMAAX
XMAMAAXXAXAMXAASXMAAMAMXMMXMXSMSMXMMMMASXMASXSAMMSSMXXAAXMAMMMMMMAMXMASMSMAMSSMXAAXXMAXAAXMASMMAXASMMMMXMSMMMSMAXASXMMSAXMAMSAMXSSMAXAXAMSSS
AXSSSSMMMMMXSXMMMMMMMAMMXSXMMXAMMSSMMSAMXMASMMAXXAMXMMSMXSAXAAAAMASAMMSAAXXMAAXSMMSASAMSSXSASASXMMSAMXASMAMXMAMMMXMAAASAMXSMXXXMAMMSMXXAMAMX
SXMAAMAASASXSAXSAAAXMMXSAMASAMXMAAAAAMAMXMAMAXAMAMXSAXAAMSAMSSSSSMSASAMMMSMXMAMXAXXAMXMAAAMASXMAAASAMMMMSMSSSMSMSSMMMMMSAMXAMXMMAXAAAMXSMMSS
AXMSMMMMSASASMMMSASMXSAMASAMMSXMMSSMMSXMXMMSSMMMXSAXSXMSMMXMAAMMAMXMMAMAXAMMSMSAMXMAMXMMSMMAMXSMMMSAMXMAMXAAAAXAAXASAMXAMAMAMSXMMMMSSXAMXXXA
MXAMASAAMMMMMMXXAMMAAMMMMMXSXMASAAMAMSXSAAAAAAXXAMXSMXXMXMMMMMMSSMSMSMSMSMSAASAXXAAAMAXAMASXSASXMASMMXMSSMMMMMMMMXXXAAMMSSSXMXSAASAAMMMSAMAM
XMAXAMMXMAAAAXMMMSMMMMAAXMASAAMMMXXSMSASMSMSSMMMSSSXMAMMAMMMSAMMXAXAAAAAMAMMSMMSXSMSSSMMSAMMSASMSAMXXAXMAMASXMSAXXSMSMXXAAXMAAXXAMMMMMXAAMAX
MSAMSMMSSSSSXSAAASASAXSXSMAXMMMXXXAXAMAMAXXMAAXAAXMASXMSSMSASMSMMMMSMXMSMAXXAAXMXXAAMAAAMMSAMAMXMASXSMMSAMASAASMSMSAAMXMMMMSMSSSSMSAASMSSSXS
XMAMMAXXMAMAXXMMXSAMAMMASMSSXXMASMAMAMSMMMASMMMMXMSAMXMAXMMASXAMASAMXXSXXMMMXSMMAMMMMSMMSASXMMMMSSMMMMAXXMXSMMMAAAMSMSAMAMAAXXAAMAMSMMAMXMAM
XXAMSAMMMSMMMMSMMMAMXMMAMAXMASMASMMMMMXAXXMMMMAXMAMASXMSSXMMMMMSAMMMSMSAXSASXXMMAXMAMMXMSAXXSAAMXMSASXSSSSMSAAMXMSMXXSMSAMSASMAMMAMMSMSMSMSM
SSMMXMAXAMAAASAAAXAMXSMMMXMMASMMMAXMMAXXMMSAMSAXSASAMXAAXXSAMXXMMXAXAAMAMMASAAXSAMSASMMMMSMXSSSSMMXSXAMAAMASMMSSMXASASASXMAXSAMMSAXMAXAAAAAM
XAMAMMSMSSSMXAXSMSMSXSAXMMMSASAMSAMXMASMAXSAMMAMSAMXSXSMSASASMMASMMSMSMXMMAMMSMMAMMASAAAAMMAMXMXAMMXMMMMMMMSMXMASMXMAMMMSMSXMAMAXXMSMSMSMMMX
SAMXSMAMXAAXSMMMAAXXASXMAAAMMMAMXMMMMAMMSMMXMXMXMSMMXAAXXMSAMXMAMAASXXMASMXMAAXXSMMSMMSMSMMASXMXAMXMASAXXMAMMXSAMMSMXMXAAXMASMMSSXMAXAAAXMSS
SAMXMMAXMSMMAXASMMSMXMMSSMSSXSSMMSAMMASAAXXAMASAAAMMMMMXXXMXXAMASMMMMMMASXSMSMXAMAXAAXXMXXSASAASMMMSAMMSMMMSAAMAMXASASMXSAMMMAAMAMSAMMSMSAAX
SMXASXSSMXXAXMXXAAXMAMXMAMAMXAXAASASXMSMMASMSASMSMMXSAMXMASMSMSXXMAXMSMASXXXMASMSXMMXMMMMAMAXMMMMAXMAMXAAMXMMXMAMXMSXXAXMXMMSMMMSAMXXXMASMSM
SMMXSAMXAMXSSMXSMMMSAMMSMMASMMMMMSMMXMSASMAAMAMMXAXAMAAMSAMAAAXAMMMMAAMMMMXAMXMXAMXSAXAAAXMASMSMSSMSAMSMSXXXSMSSSSXMMSMMMSMXAMXXMMXSAAMAMXAA
XXAMMXMMXMAMAXMAXSASXSAMAMSSMAAAASMASMSAMXXMAMMXSMMMSMXXMAXSMSMSMASXSMSAAXMXMAXXXSMSASMMMSAXXAAAMMAMMXAAMMMMMAXAAMXMAAAMAAMXAMXXXXASMSMAAXXS
AXSXXAXAAMASAMMSXMASXMAMSMAMXSSXXSMASXMXMASXSSMXXAAAAXMXXXMMSMAXMASAAXSMXSASXMXSMMAMAMXAASXMMSMMSMSMMSMXMAXAAXMMMMAMSSSMMSSSSMMMSMMSAMMSSSMM
SAMXSMSSXSXSXMXAMMAMMMXXXAMXAMAMSMMMSASXMXSAMXMASMMSSSMSAMXMAMSMSXMXMMXXASMXAMMXAMSMAMXMMSAXAAASAAMAMXSAAMSXMSSXAMXMMAAMXAAMMAAXMASMMMAAAAXM
MAXAAAAXMMMMAXXMSMASMMMAMAXMAMAMAAMXXAMAXXMMMSMAXAAXAAAXMMAMMSXMASAMXAXMASXXSMASXMMMASMMMMMMXXSMMXXAMASXSXXXASAMXMMAMXMXMMSMSSMMSXMAAMMSSMMS
SSMMMSMSMAAXAMXMAXASAAXXSXMXMSSSSSMMSSMMMMSMSAMMSMAMMMMMXXAMXMXXMASXXXSAMXMSMMMXMAXMAXMASXSAMSAMXSSXMAMSAMXAMMAMAMSXMMSXXXMMXAXASXSXMSAMAAXA
MXAAAAXSMSSSMSXMAMSSMSAAMMMMXAAAAXAXAMASMXAXSAMXAXXXXASMMMXSAAXMXXMMMMAXXSXAXXMASMMMSSSMSMMAXSAMXXASAMXMMXAMASXMAXASMASXMMMXSMMMSASAXMMSSMSM
MSXMSMXMXXMAMMASXSXMAMMXMAAASMSMMMSMMSAXASXMXMMSXSMMSMSAXAASMMMMSMMAAXMMMMMMSAMXXMASAAAAXAMXMMAMXSAMXMMAMMSSMXASMSAAMASASMMASAMAMAMMXMAMMAXX
MAAMAMSMSSSMMSAMMMAMXMXAMSSXSXAAXXXAMMMSXXMASMMSAXXAAXSAMSMXAXSAXASMXSAAXMAXMXSXMASMMSMMMSMMMXMMMXAMXMAAMAAMXMMMMMXMAMSAMAMMSAMMMMAXAMAXMSMM
MMSMASXAAMAXMMMSASMMXMSXXAXXMXMXMMXMMAAXXAMXMAASASXSXXMAMXASMMMXXXAAXSMMSSMSAMMMMSXSAXMMAXAXXASASMAXSMSSSMMSSSMXAXASXMMAMXSXSAMXMSMSMSAXSAAA
XAAXXMMMMSSMXAXXMAAASMMSMMSSMSSMASASXMXSXXMXSMMMAMXAMSSMMXMAMAMAMMMXMSAMXAASXSAAMXAMXSAMASAMSMSASXMMXAAMAAXAAAXSXSASXMMAMMAASXMAXAAAXAASXMXS
MSSSSXMXAAAMSMSMMSMMMAAAXAXAAAXAXSASAMXSXSAMXAXMXMXMMXASXXSMSAMAXXAXSXMSSMMMASXSSMSMMSMAMMXMMAMAMMSMMMMSSMMMMMMXMSAMAMSMSAMXMASMSMSMSMSMXXSM
AXAAXMASMXAMAAAXMAAXSMMMMASMMMSMAMAMASXMASXXXXXMASXXSSMMMAMAXXXMXMMSXAXMASMMAMMMMAMMMMXMMMMSMAMAMAAMAAMMAMMSAXXAMMAMSMAAMXXAMXMXMAXAMXAAAMAM
SMMMMAAXMASMMSMSSSSXSMAMMMMAMXMMAMAMMSAMAMMMMSMSMSXMAMAAMAMMMSMXAAMXXAMSMMXMAXAAMAMMAMAAAAMXSMXMMSSSMSMXAMASASXSSSMMASXSSSSSSSMASMMAMSMSMMMS
XAAXSMMSSXMAAXAAAXMAMMSAAASAMMAXXMASAXXMASAAXXMAAXXSSMSMSMSAXMAMSMSAXMMASMASXSSSSMXSASXSSMSAMXMSXMAXAAXSSMMSAMAMMMSMASXMAAXXAMSASASXMXAXXXXS
XSXXAMAMXAMMMMSMMMXMAAXMSMSMSMSXSMXMMSXMXSASXMSMSMMMMAAAAAXXSMSMAAMMMXSASMXSMAMAMAXMASXAXAXMMAMAAMAMMMMMMAMSMMAMAAMMAMAMMAMMXMMXSAMXSMMMXSAS
MXMMMSMMMSMSAMMAXAMXMXSAXXMMAMXASAAAAAAMXSXMAXSXAMSAMSMMMSMMMAMAMXMMAMMAXMXXAAMAMAXMAMMMMSMMSXSMSMAXAXSXSAMXASXSMSSMMSXMXMMMAMMMXMMMSAAAMMAM
AXAAXAAAAAXSASXSMSAAXMMMMASXXXMAMSSMMXSMAMAMXMSAMXAXMXXMAMXAMMMAXAXMSSSSSMXASXMSMSAMAMAAAAAXXXXAMMSMMMAASMXSAMXXXMXAASAMXMASAMAMMXXXSSMSMMXM
MMMMMSSMXXXMMMAXAXSMMMAAMAMXMASAMXMASAMMAXSASXSXXAMMMMSAMXSMSASMSSSMAXAAAASXMSXMAMMSASXMSSSMMMMMMAXASAMXMAASXSMMMMMMMXASASASMSMSAMSMXXMAMSAM
XMXSAXMAMSMSSMMMSMAXASASXMXSAAXAMSAAMAMMAMXAMAMMMSXASAMAMMSAMASXAMAMMSMMMMMAAMMMAMXMMSXAXXXAAAAAMAMAMXSAMXMXAXMAAAMAXMXMAMASAAXXXAMMAMMSXSAS
XAAAXSAASAAAMASAMXSMXSAXASXMMMMAMAMSSSMMSMMAMXMASAAASXSAMMMSMAMMSSSMAAXAXXSMMMASAMAMXSMMMXSSSSSMSAMAMXSAMMXMAMXMMMSASAAMXMAMMMSMMMASXSAMXSSM
XMAMMMXMSMMMSAMMSXMSMMMSAMXMAMSAMASXAXMAXAMXMAMMMMMMMASASMAMMXMXAMAMSSSMSMMXXSMSASASAMAMMAMMMAAASMMSSMXXMXAASMMSAMXAMXAMXMAMSASAMXAXXMAXASMS
SSMMSXMXXXSXMXXMAMMASAAMAMAMAXMAMXSMAMMASXMSSXSASXSXXXMMAMAMSMSMMSMMAAXXAAASMMMSASAMMSAMMASAMMMMMAAMAXSMXXASXAASAMMMMXMXMXSAMASASMAMXMSMMMAM
MAAASASXMMAAXSMSAMMAXXMMAXXMSXSAMMMMMXMASAXXAASAMAMXMSMXAMAXAAXMXAXMMMMSSSMSAAXMAMXMMSAXSASASXMAMMMSAMXAMSMMMMMSAMAMAMSAMXXMMXMAMMMAAAAAXMAM
XSMMMXMAAASMMSAMAXMSMSMSMSAXAASASAAAXXMASMSMMMMMMAMASASMSXSAMXMXSSSXSAAAMXMMMMSMAMSMASAMMXSXMASXSAXMXMAXMAAXXSAMXSASAMMASASXSSMMMMXSMSSSXSSS
MXASXSSSMXAMAMXMAMSMAAAAASMMMXMASMSMSMXXSAMXAXMASXSMSAMXXAMXMASAAAAASMSXMASXMASXAAAMMXMXXAMASAMXSAMSASASXXMMXMASXMMSASXSMASAXSXXAXXXMAMXAXAM
MSAMAAAAXSMXSXXXXXAAMMMMMMSSMMMXMMMMMMMMMXMSMSSMAMAMMMMAMMMXMAMMXMMMMXMAMAXAMASXSSSSXSXSMXSAMASXMAMMXMASMMSAXSAMMSMSAMXAMMMMMMSSSSMMSMMXSMSA
MMMMMMMMMASAMXAMXSMSSXXXMMMMAASASAXAAAMAAAXAAMAMMSSMAAMXSASMMSSMXMSXMSSSMSSMMXSMMAAMAAAXXAMAMXMAMMMXSMMMAXSAMSASAAMMAMXMASAXAAAXXAMAAAXMXAXA
XAXXAXXXXAMMXSMAMXAAAMAMAAAMSMSASMSSSSSMSSSMSMXSAMXSXSAASMSAMAAXXMASMAAAAXAMAASMMMMMMMSMMSMSMSSSMAAMXAAXSMMAMXAMMMMXAMXXASXSMSXSSXMMXMMAXMXX
SMSMXMMMMMSXMASXAMMMSAXMSSSXMXMAMXMMMMAAAAAAXMXXAMAMMMMXSXSAMSSMXSASMAXMMMAXMMSAMXXAXAAAXAAMAMAASMSSSXMXMAMSMMXMMSSSMSXMASMXMAAMMMSSMMSSMMSM
AXAXAXAAAMAAAMXSMMSAXXXMAMMMXXMXMAAAAMAMMSMMMMMSMMAMXAXXMAMAMXXAAMASXMSSXSAMMXMMMMXMMSSSMMSMAMXMASAAAXSASMMMAXSAAAAAAMXSAMXMMMMMAAAAAAAAAAAA
MSMMMSXMXXAXMSAXMASMXSMMASMMXXMAMXXSSSMSXXXXAAAAXSAMSSSMMXMSAMXMMMAMAMAMXSXMMASXMMAMMXMAMXMXXMAXMMMSMMMAXMASAMSAMMSMMMAMASMMMSMSMMXSMMXMMSSS
MAXAMSMSSXSAAMASMXSAASXSASAAAXSSMSMMAAAXXXXSSMXSMSMMMXAXAMXXASXMAMASAMAXMMAMSMSAMSSSMASAMMMXMXXSAMAAAXXXMMXMXMXAMXAAAMASAAAMXAAXAXXMXSMSMAAX
SASXAXASAAMXMASMXAMMMSAMXSMMXXAAASMMSMMMMXXMAXAMMXMAXSMMMMMSXMASASMXAMMMAMAMSAMXMAMAXASXSAMXMAXMAMSSSMMXMXXMXMSSMXMMASAXMSXMMMMMSMXXAXAAAMMM
MASXMMMMMMMAMSMMXXSMAMAMMXMAXMMMMMAMASXAMXSSSMMSASXSXMMXAAXSMSAMXMASXMSASMASMAMAMXSAMXSMXASAMSMSAMAMAASAMSXMAAAXMASMASAXMMMMASAMAASMMMSMSAMS
MAMMXAXAXXSAMAAAAMXMASAMSAMXSSXAAAMMAMSASAMXAAAAXMAMXAASXSMXAMSSXMASAASAMSXMMAMXSAMXSXSASXMASAASMMAMSAMASAASMSMXSASMAMAMAAMSASASMSXAAAXSXMSX
MMSASMSMSASXSSSMMAMSXSASMXMXSAMSSSXMXXSXMXSSSMMSSMXMAMASAAMMXMMSXMSSMMMSMXXMAXSAMXXSAMXXSSSSMMXMXSSMXMSMMMXMMAMXMXSMASMSMXMMASMMXMMSMSSMMSSX
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