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Add 2024 Day 04

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Burnus 2024-12-04 18:56:08 +01:00
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2024/day04_ceres_search/Cargo.toml Normal file
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[package]
name = "day04_ceres_search"
version = "0.1.0"
edition = "2021"
[dependencies]
[dev-dependencies]
criterion = "0.5.1"
[[bench]]
name = "test_benchmark"
harness = false

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2024/day04_ceres_search/challenge.md Normal file
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"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](/2019/day/10)!
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 `2530`.
\--- 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-MAS`es 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 `1921`.
Both parts of this puzzle are complete! They provide two gold stars: \*\*
At this point, you should [return to your Advent calendar](/2024) and try another puzzle.
If you still want to see it, you can [get your puzzle input](4/input).

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2024/day04_ceres_search/src/lib.rs Normal file
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use core::fmt::Display;
#[derive(Debug, PartialEq, Eq)]
pub enum ParseError {
NonRectangular,
}
impl Display for ParseError {
fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
match self {
Self::NonRectangular => write!(f, "All lines of the input must have equal length"),
}
}
}
struct Grid<'a> {
chars: Vec<&'a [u8]>,
width: usize,
height: usize,
}
impl<'a> TryFrom<&'a str> for Grid<'a> {
type Error = ParseError;
fn try_from(value: &'a str) -> Result<Self, Self::Error> {
let chars: Vec<_> = value.lines().map(|l| l.as_bytes()).collect();
let height = chars.len();
let width = chars[0].len();
if chars.iter().any(|l| l.len() != width) {
Err(Self::Error::NonRectangular)
} else {
Ok(Self { chars, width, height })
}
}
}
impl Grid<'_> {
fn count_xmas(&self) -> usize {
(0..self.height as isize).map(|y|
(0..self.width as isize).filter(|x| self.chars[y as usize][*x as usize] == b'X').map(|x|
[(1, 0), (-1, 0), (0, 1), (0, -1), (-1, -1), (-1, 1), (1, -1), (1, 1)]
.into_iter()
.filter(|&(dx, dy)| (0..self.width as isize).contains(&(x + 3 * dx)) &&
(0..self.height as isize).contains(&(y + 3 * dy)) &&
self.chars[(y + dy) as usize][(x + dx) as usize] == b'M' &&
self.chars[(y + 2 * dy) as usize][(x + 2 * dx) as usize] == b'A' &&
self.chars[(y + 3 * dy) as usize][(x + 3 * dx) as usize] == b'S'
).count()
).sum::<usize>()
).sum::<usize>()
}
fn count_mas_crosses(&self) -> usize {
(1..self.height as isize - 1).map(|y|
(1..self.width as isize - 1).filter(|x| self.chars[y as usize][*x as usize] == b'A').map(|x|
[(-1, -1), (-1, 1), (1, -1), (1, 1)]
.into_iter()
.filter(|&(dx, dy)|
self.chars[(y + dy) as usize][(x + dx) as usize] == b'M' &&
self.chars[(y - dy) as usize][(x - dx) as usize] == b'S')
.count() / 2
).sum::<usize>()
).sum::<usize>()
}
}
pub fn run(input: &str) -> Result<(usize, usize), ParseError> {
let grid = Grid::try_from(input)?;
let first = grid.count_xmas();
let second = grid.count_mas_crosses();
Ok((first, second))
}
#[cfg(test)]
mod tests {
use super::*;
use std::fs::read_to_string;
fn read_file(name: &str) -> String {
read_to_string(name).expect(&format!("Unable to read file: {name}")[..]).trim().to_string()
}
#[test]
fn test_sample() {
let sample_input = read_file("tests/sample_input");
assert_eq!(run(&sample_input), Ok((18, 9)));
}
#[test]
fn test_challenge() {
let challenge_input = read_file("tests/challenge_input");
assert_eq!(run(&challenge_input), Ok((2530, 1921)));
}
}

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2024/day04_ceres_search/tests/challenge_input Normal file
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MXXMASAMXSAMXSXMAMXXAMXASAXASMSMXAAMAMXXMMXAMXSXMAMSAMSAMMXASXXXXMXSXMSMSXSMSMMSSMMXSAMXSSSSXXXMMSSSMMXMAMXAXAMXMSMSSSMMSASMXSXAAXMSSMXXXSXS
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MXASXMSASMASAMASAXMXMMMAAAAMAMAXMAXAMXSMMSMMAMXMMMXSAXMASAMSAMSAAMSSXXAAMMMMMSSSSMSSXMAAXAAAMXAAAAXAMSMMXSASASAMAMASMMMSSMSMMASAMAMMSMMASAMM
AMMMAXSAMMAMAXASMMXAMXXMSMMMAMAMXXMXXAMXMAAMASXSAAXMAXMAMAMXSXAMXMAMMSMSSMMMXMAMXAAMAMXMAMSMMMMSMSMMXMXMAMMSXSAMMXAXXAXMAAAMXASAXXMAXAMAMAMA
SAASMMMAMMSSSMMSASMMMAXXMXAMAMAAAXSSSMSXSSSMMSAAMAMMAMMASMMXXSMXAMSXMAAXXAASMMAMMMMSXMASMXAMAXMAAXMSASAMAMAMXMMSSMMSSSMXMMMSMAMAMSMXSAMSSMMS
MSMAAXSMSAAAXXMMMMAAAXMXASXXAXMMSXAAXAXXMMXAXMMAMXAXASXAMAMXXXXSAMXASMSMSSMMASXMXMXMASXSMXMSMSMMSMAMASASASMSASMAAAAAMASXAAAAMSMSMMAAMAMMAMAX
XAMSMMMASMMSMMMASMSMSSMMXMASXSXAXMMMMMMXSAMMXMMXMAMXAMMMSAMXAXMAMXSAMAAXMASXXMXMASASAMXMXMXAAXXSMMXMAMAXAAMSAMMMSMMMMAASXMMXXXAMAMMMMSMSAMXS
AXAAMAMAMSAMXASXSAAAAAASAMXMMAMXSAASMMAAMASXMMAASXSSMMSAMASAXSSMSXMAMSMMMXMXAAAMXSXSAMXMAAXMMMXMAMSMAMXMASMMXMAMMAXXMSASXSXSAMAXXMAAAXASXSXS
MMSMSAMXSMMMSXSMMMMMXSMMAXMAMMSMSXMAAMMSSMMMAMSMSAMAAAMMSMMMMAAAAXSAMMXXSASMMSXSXMASASASXSXSAAAMAMXSASXAAXXAASASXMMXMXAMAMMMXSMMSSMSSMAMXMAS
XAAXXMSXMASAMXMAXMXSAMASAMXAMXMAMAMXMMXAMAAAMAMAMAMMMMSXAAAAMSMMMXMXSMAMSASXMXMAMXAXASASAMASMSSSXSAMXMMMMXMXMSASAAXSAMMMAMXXMAMAAAXMXMXMXMSM
MSSMSASXSAMXSASMMXAMAXAMXMSASMSSSXMAXSMSMSASMSSMXAXXAAXXSSSMXMAMXSXAAMAXMMMAXMXAXMXMAMAMAMAMXAAAAMASXMSMSASMXMASMMAAASASASXSMSMMSSMMAMAMXMAM
AXAAMSMMMXSSMAAMMMMSSMMSXXAASAAXMASXMAAMAXAXXAAXMMXSMXSAXAAXASXMAMMSMSMXAAMXMSMSXSAAAXXXAMXSMMSMMSAMXAAASAMXAMXMMMMXXXAXXAAAAAAXXMAMAMAMMXMS
SMMMMXMASAMXMAMAAAMAXAXMMMMXMMMMSAMSAMXMMMSMMSMMXSAXMAXXMXMSMMXMAMAAXAMSMMMSXSAAASXMXSMSXSAXMXXMASASXSMMMAMSMSMMXAMSSMSMSMMMXMSAXMSMSSMXSAXA
MMSXXXSXSMSMSASMMSMMSMMXASAXMAMMMAXXSXXXXSAMAAXMAMMSMMXSASXMXXXMXSXXSXMAAAXMAMXMMMMSMAAAXMASXMAMMSXMAXXXXXASAMXMMXMXAAXAMXAXSAMMSXXAMAAAMAMM
AAAXMASASAAAAAMAMMXAAXXMMMMXMASXSSMAXXSMMSXXSASMXSASAAAAXMAASMXSASXASMSMMMAMXMMXXAAASMMMSMMSMSMMAMAMAMAMSAAMMMAXMMMSXMMAMSXXAAAAXMXMSMMMXSAX
MMSMSAMAMMMSMSSMMMMSMSMAAAXMAXSXAAMMMASAAMMXXAMXAAXXMMSSMSMMAAAXAXMXMASASMSAMXMMSMSXSXAMAAAXMAXMASAMXSAAAMAMXSMMMAXAAXXXXMXXSSMXMMAMAXAAAASX
XMAMXSMAMSMXXAAASMMAAAASXSSXSASMSMMMSASMMXAXMSSMMSSXSMMAAXAXMMMMMMMMMXMMMAAMASXAAXXXMXSSSMMSSMXSAMASXMXSXXXMAMXAXXSMSMXSAMMMMAMSMSASXSXMASXM
MSMMMMSXMAAXMMMMMASMSMXMXAXAXMSAAAAAMASXMASXMASAMXAXSASMMMSXXAXAAAAMMMSAMXMXSAMSMSXMSAMXMMAMXAAMASMMXXXMASMMSSSMSAMAXAMMAXAAMAMAAMAXXMMXMAXA
XAAAAMAMSMMMSMASXMMAXMXSXMMSMASMSSMSMAMXMAXAMMSXMMXASAMAAMMSSMSSSSXSAAMASMXXXMAXAMAMMXSAMXAXMMMMAMAAAXMXMMMAMAMAAXMAMAMSMMSMSMSXMSXSASMMMASX
SSSMSSXMASAAXXAMAAMAMXAAAXAMMMMAXXXXMXXXMXSAMXSMMASASMMXMMMXMXAMAAXSMSSMMMMMMXAMAMXMAAXASMSMSMAMASMMMMMAAAMXMAMXMXMMMAMAAMAASASMAAASXMASAMAA
XAAAXAAMAMMMMMSMSMMSSMMSSMSXMXMMMSSXAASMMASXMAMAXXAAMXXXSASASMMSAMXMXAAASXAAXMASXMMMMMXAMAXAMXAXAMXMXAXSSMSXSXMMXMMMXXXMMMMMMAMXMMMMASAMAMMX
MSMMMSMMSSSMSXMAAXAAXAMAMAAAMMMSAAMMMMXAAASAMXMMMMMMMXMMSASASAXAAXAMSSSMMSSSSSXAAXXSASMSMAMAMSMSMASAMXMXAMXAXAXSASXMASMSXXAAMAMAXXXXXMASXMXS
AXASAAAXAAAAXAMSMMMSSMMASMSMMAAMMXMAMSSSMMSXMASASAXAMMMAMXMASXMMXMXXAAAMXAMMMMMSMMMSASMAMXSAMAMAMMSMMXSMSMSXSMMSASXMASAAMSSMSXSMSMMSSSXMXSAM
MSAMSSMMMSMMMXMAXASAMMSXMXAASMMXSASMSMAAMAXAMAXMXXMSXMMSSSMXMASASMSMMSMMMXSXXXAMASXMMMMSSMSXSXSASXMASAXXAAAMAAAMXMXSAMMMMAAMMAXAAAXAAXXSXMAS
AAXAXXAAXMAAAXSXSXSASMMAMMMMXAAAMXMMAMXMMSSSMSSSSMXMAMAXAXMASXMAAAAMXMAXMMMAXSMMAMXAAAXMAMXXMXMMMAMAMXSMMSMAXMASXSAMMSAAMXSAMMMMMMMMSMMMXSAM
AMMSAMSSMSSMSXMASMSAMXXMMSXASMMMSAMSSMMSMMAXAAAAAXAXAMMMAMSXSXMXMSMSASMSSMMAMMAMSMSSMSSSMMSASAMSSMMMSMAXXAXXXXASAMXSASMSAXMAAXMASAMXMMAAASAS
XXAXAMXAMXXAMXMASASAMXXSAMMMSMAXSAMAAAAAXMAMMMXMMSMSSMXMAMSSSXXXMAMSASAAAXSMSMAMXAMXMMXAXAMAMXSAAAMSAXAAMSSSSMAMAMAMASAXMSMXMASASASASMXXASAM
XMAXMMMMXMMXMAMXSXMMMAAMAMAXMMSXMAMSMMMSAMXMAXMXXXAAXMAMAXXASAXSSMMMMMMMMMXAAXAMMXMSXMAMXAMAMMMMSMMAAMXSAXAXXAXSXMASXMMMXAAASXMASMMASASXAMMM
XSSMSAAXSASASASAMMSMMXSSSSXSAAMASAMASMXMASASXSASASMMMSSSSSMMMSMAASMAMAXXSMMSMSMSSMAXMAXSAXSAXMXAXAMMMMXAMMAMMSAMXSMMMAXMSMMMMAMAMAMMMAMMSMAM
AAAASXMSAAMASAMXMSASAMXAAXXAMASMMSMAXXAXXSAXAXXMAAXXXAAAMXASAXMSMMSASMXMAMXAAAMAAMMMMMAAMMSMSSMMSSMSSXMMXSAMAAAXMXAMSSMXMASMSMMXSMSXMSMAAMAS
SMMMMMXMMMMXMAMAXSASMSMMMMAXMASXMAMMSXSMMMMMSMXMMMMMSMMMSSMMMSMAAMMMSXASXMSMXMMSXMMAMXMMXAXAAMAAAAAAMMAXAMAMXSXMSMMMAAMXAAAXAAXAAXMAMMMSMSAS
XASXXXAMMSMXXAMXAMXMASXAMXAXSXMASMXMAMXAMAAAMASXSXAMAXXAMMAAAAXMSMAXXMXMAMMSMXAMAMSMSAXXSMMMMSSMSMMMSSSMMSXMXXAAXASMSSMSXSMSXSMAMMSXMAAXXMAS
SXMAXSAXAAAMASXMMMXMAMSMSAMXAXMXMSXMAXSAMXMMSMXAXSMSMSMMSMXMSSSXMMMMMMXSMMAAMMASMMAASXSASAAXMXMAXMMAMXMXMAMXASXMXSMAAXAMAMXMMXMAXXAAMMXSAMXM
MMMXMMAMXSAMAAASXSAMXXMMAMMMMSXSASMXXXMMMAMXMAMSMXXAXXAMAMAAXAXAMMSMXAAMXMSSXSAMXSMMMASASAMXSMMSMXMSMSXMASXMASAMSMMMMMAMMSAMAMXAMASAMAASXMAS
SASASXXMMAAMMSXMASXXSASXMSAAXMAMAMMMSSMSMMXAMSMMAXSMMSSMAXMSMMMMMAAAAMXMAMMAXMASASXAXXMAMMXAXAXXXXSAAASMMMASASXMAAAAXMAXXSAMSMMXSAMSSMMSASAS
XMSAMMMSXSXMAMAMXMAXSAMXAXMMAMAMAMMAMAAAASXMMMAMSMAAAAMMMSMMAXAASXMXXXMXXSMSMSAMMXMMASMXMMMXXXXMAXXMSMXSASXMASXMSSMSSSXSAMXMAAXAMAMXMMXSXMMS
XMMXMAXXAXXMXSAMXMXMMSMMSMMSMSAMXMMAMMMMXMAMASXMXSMMMMSAASASXMMXXAAXSMSMMMMMMMXXMAMXMAAAAXASXMSXSASXMMASXSMMAMAXAAXAAXMMAMXSXSMMSSMAMSAMSSMX
XMASXSMMMMMMMSAMXMXSAMXAAAAAMAMMSMSMXMAXASAMASAMAMXSAMMMXSAMMAMSSSMMSAAAAAAAXSSSSMMAXSAMXMXSAAAAMSAAXMAMXXXMASXMASMMSMXSAMAMMMAXAAMAMMASAMXA
XMXMAMXXAAAAASAMSAXMASMSXXMXMAMXAAAAASMSMSAMXSAMXSASASXSXMASXSMMAMXAXSMSSSMMSAAMASXXXAXSXMASMMMXSMMMMMSSMMASMMXSXMASAAASMSMSASXMSSMAMSXMMMMX
SSSMSMAMXSSMMSMMSAMSMMMMASMSSSSSMSMSMAAAAMMMASXMXMXSAMXAMXSAAAXMAMMMXAMXAAASAMXMAMXXSSMSAXAMAMMXMAASAXXAXXAMAAAXAAXSMSMMAAXMASAAAXXAXMAMASMM
MXASAMXSAMAXMXXAXAMXSAMXAAAAAAAAAMAXASXSXSAMXSASMSAMXMSXASXMMXMXAMXXSSMSSMXMAMXMAMXMAXASXMASAMMASMMSMSSSMMMSMMSAMXMMMMXMMMXSAMMMMXMXXSMMASAA
AMXMMXAMASAMXAMXSAMXSMSMSMMMSMSMMMASAMAXASMSASMSAMXMAAXAMAXXSSMSASMXSAMAXXAXXMAMASAMXMXMMMXMMXSASAMXAMMMAAAAXSAMSMMAASASASAMXSXMXSSSMAXMXSMM
MAAMXMXMAMXMMSSMAXXMMXXAXXXXMAXAXXMMAMXMMMAMXXXMXMASXSSSSSSMAAAASAMXXAMXSSMMSXMSAAAMSMSAMXASXMMASXMMMMASXMMMSAAXMASMMMASAMXXMXMMXXAAAMSXMMXS
MSSSMMSMMSXSAAAAMMMMMAMXMASXSAMMMXXSXMXMSMMSMSMMMSXMMXMAAAMMMMMMMMXSSXMMMMMXMAMMMXMMSAXASMMSAAMAMMMSMSMSSSXXMMMMSAMXSMXMXMXSAAMSMMSMMXSASMAA
MAMAMAMAMAASMMMSAAMASAXASXMMXAMXAXMASMXAAAXAAASXMMMSMSMMMMMASAMXXXMMAMXXAAMMMMMAMXSAMAMXXAXSXMMMAAXAAAAMAMMMXAAXMASAMXMASMMSSMSAAMAXAXSAMMSS
MASMMMSAMXMMAXAMMMMAMMMMSAXAMSMMMSAAASMSMSSMXMMXAAAASAAXMMSASASMMMXMAXSXMMSAAASXMAMASAMXSAMXAXAXSXSMSMMMAMAAXMSMMAXASAMAXXAMAMXMSMXSMMMAMAMM
XMMXAASAMXMSXMXMASMSXSAMXAMSSMAAXMMMMXMAXAXXSXMSSMSSSSSMSAMASXMASASMSMSASASMSMSAMXMAXMAMXSAMMXXXAAMAMAASMSMXSAAMMSXMXAMXMAMSAMSXXAAAAASAMASX
SXAMMMXAMAXMASXMMXAAAXAXMAMXAXMMMMSMSAAMXMAXSAMAAAXAMAXAMMSAMAXSAMXAAASXMAMXXXSASAMSSMSXAMMXXMMAMXMAMSMXAAAXMXMSAAASMSMSMAMMAMAMMMXSMMSXXXSA
AMAMXSSMSXXMAMXXXMMMSSMMMXXSAMXAAXAASASXAXMASAMSMMMSMMMSMMMMSXMXAMASMMMMMSMAMAMXMAXMAAMMMMASXSMAMSMXXXAMSMMMXAXMMMMMAMAAMSXSAMMAAAAXAMXXSASM
MMXMAMAAAASXMXXMXAXAXAXAXAXMAASXSXMXMAMXXSMMSXMAAXAMASXAXMAASASXAMXMMXAAAAMAMAMXXSMSMMMXMAMSAASXMAAXMMSMMAASMMSMSMXMAMSMSAASMMMMSMMSSMAAMMMX
XAAMSSMMMAMAMASXMMMXSMMMMMSSSMSAXAMAMAMXXMAAMASMSMASXMSMMMMMXMASXXXSXSMMMSXXMAXXAXAMXAAXXMSMMMMXSMSSXAAASMMSXAAAAXXSAXMXSMMMMAMXXAAAAMXMXXAX
XSXXMAMXXMSXMASXAXMMMXASAXAXMAMAMXSASXMMXSMMSAMAMXMMAXXXASMMSAMAMXAXXMMSXMASXMSMAMAMMXAXMMAAMMMXSXAMMSSMMMAMMMMSMSAMXXAAXAMXSAMMSMMSSMAMAMAM
MAMXXXMAXMXMAMMMSMMASXXSASMXMSMSMXMAMXMAXSMMMAMAMASXMMMXMAAAAXXAXMAXSXAMAMAMAAXXAXSMMMMAASMMMAMMMMMSAAXAMMSMAMAMXSXMXMMMSSMAMXXXAAAAAMAXASAS
XSXSMSMSMASXSMSMMMMASMAMAXMAMAAASXMAMXMSXMAXSMMMSAMXXMAMMSMMSMSXXASMSMXSMMSSMMMXXXXAXAMXXMAXSAXAAAXMMMXXMAMMAMXSMMAMXAAAXAMXSAMSAMMSSSXMAMAS
AMASXAAAAXXAMAAAMSMMXMAMXMSSSMMMMMSSMSAMASXMAASAMASXSMXSXAAMMAMMMXMAXAMAAAAAAXXASASMMXSXASXMSASXSSSSSSSXMASMMMXSASAMMSMMSMMAMAXSMMXXMAMMSMAM
AMAMSMSMSMMMMSSSMAMAMMSXMXAMXAAAXMAAMMAMAMAASXMAMAMAAAMSMSSMSSSMSMMSMSASMMSSSMSXMASASAMMAMAAMAMMAMXAAAAMMAMAASXSASXSAASAAXMXSSMMAXXAMAMAXAMX
SMAMXXAXAAAAXMAXMMMASXMASMMSXSSMMAXMASXMXSMMXMSSMXXSMMMMAMXAAAXAAXXAAMMXAMAAAAAXSXMAMASXMAMXMMMASMMMMMMMMSMSMMAMAMAXMAMXSMSXMAMXAMSXMXMXSSXX
ASXSXSMSMSMSSMAMXXMAXXMXMAMAAMAXAMMXMSXMAMXAMMAXXAMXMAMMXMMMMMMXMSMMSMASXMMSMMMAMAMXMXMXXAMMSSMAMMAAXAAXMXMXAMXMSMMMSMSAXASXMAMMSMMAXSXAXAMM
AAMMASAAXAAXMMSMSMSMSASXXXMXMMAMMXMAMXXMASAMAMASXXAAXSXMAXAXXXSAASMSMMXMAMXAXXMAXXMASMMMMXSAAAMSSSSSSMXSAAXXAXMAXAMXAAAAMMMAMXSXMASMMMMMSMAA
XXAMAMMSSMSMXAMSMAAAXAXAASMSAMSMXXXMSMMSASASMSASMSSMSMAMMMMSMAXMXMMAAAXSAMMSMXSSMMMXXAAAAAMMSMMAAMAAXMASMMMSSMSMSXMMMSMSMXSAMXMAMXMAMAAAAXXS
MSSMMSXMMMMXMASAMMMSMMMMMAAXMAMMXSXXAAXMXSMMXMAXAMXMAMAMXXAAMXMSASMSXMMXASAAXXXXAXSSSSMSMMXMMAMMXMMMMMMXAXXAMAAXMMSMMAXMAAMMSSMAMSSSMSMSSSMX
XAXAASAMXASAMXSXSAXAASAASMMMMAXSAMXXMSMSXSASAMXMSMSSMSMSAMSXMMAMASAMSXMMXMMSSMMMSMAAXAXAMMAXSXMAMXXMAAMXMSXMMSMSMAMASMSMMMSMAMXASAAAXMAMAAMX
SSSMMSSMMMSMSMMASXSMMMXXXAMXSMMMMSSMAMAMASXMXXXAXAMXXAXMAXMASXSMAMAMAXMASAMXAAAAMMMMMXSXSXMXXAMMSMASXMSAAAMXXAAXMASXMAMAXMAMAMXMMMSMMMSMSMMS
XXAMXMXSXAXXAXMMSASXSSMMSSMMMXAAAAAMXMAMAMAXMMSAMXMMMMXMMMSAMAXMMMMMMXAASAMSSMMXSAXXAMMASAMXXMMAAMXMAASMSMSXSMMMSASXMASAMSASXSXMAMAMXAAXXAXA
MSMSAMXAMASASXMXMAMAAAAMAMAAAMSSMSSMASXMSSMMAASAMASXMSAAAXMAMXMASASAXXMASAMXMSMAXMAMSAMASMMSMAMSXMAMMMMAMASAMMSMMASXMXMMXSASAAMXSSMSMMSSSSMM
ASASXSAMXAMAMASAMAMMMSMMASMMSMXAXMAMASAAAAASMXSAMAXAAASXMXSAMSAMSASASXMASAMXAAMMSXAXMSMXMXAASAMAASXSAAMXMAMAMAAAMAMXMAMSAMSMMAMAMAMXAAAMAAAX
SMAMMMMXAMMAMXSXSSXMAXXSMMXAMXSMMSAMXSXMSSMMMXSAMXSMMMXXSASXSXSAMXMMXMMXSXMMSMSXSMXSXXMASMSXSSSXMASMXXSAMXSMMSSSMXSXSXSMMSXMASMXSAMSMMSMSMMM

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MMMSXXMASM
MSAMXMSMSA
AMXSXMAAMM
MSAMASMSMX
XMASAMXAMM
XXAMMXXAMA
SMSMSASXSS
SAXAMASAAA
MAMMMXMMMM
MXMXAXMASX