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103 lines
2.6 KiB
Rust

use std::io::{read_to_string, stdin};
fn is_win(
vis: &mut Vec<Vec<usize>>,
rcum: &Vec<Vec<usize>>,
ccum: &Vec<Vec<usize>>,
curr: (usize, usize),
) -> bool {
if vis[curr.0][curr.1] != usize::MAX {
return vis[curr.0][curr.1] == 1;
}
let r = rcum[curr.0][curr.1];
let c = ccum[curr.0][curr.1];
if curr.0 == 0 && curr.1 == 0 {
let t = r % 2 == 0;
vis[curr.0][curr.1] = t as usize;
return t;
} else if curr.0 == 0 {
let t = if c % 2 == 0 {
r % 2 == 0 || !is_win(vis, rcum, ccum, (curr.0, curr.1 - 1))
} else {
r % 2 == 0
};
vis[curr.0][curr.1] = t as usize;
return t;
} else if curr.1 == 0 {
let t = if r % 2 == 0 {
c % 2 == 0 || !is_win(vis, rcum, ccum, (curr.0 - 1, curr.1))
} else {
c % 2 == 0
};
vis[curr.0][curr.1] = t as usize;
return t;
}
if r % 2 == 0 && c % 2 == 0 {
let t = !is_win(vis, rcum, ccum, (curr.0 - 1, curr.1))
|| !is_win(vis, rcum, ccum, (curr.0, curr.1 - 1));
vis[curr.0][curr.1] = t as usize;
t
} else if c % 2 == 0 {
let t = !is_win(vis, rcum, ccum, (curr.0, curr.1 - 1));
vis[curr.0][curr.1] = t as usize;
t
} else if r % 2 == 0 {
let t = !is_win(vis, rcum, ccum, (curr.0 - 1, curr.1));
vis[curr.0][curr.1] = t as usize;
t
} else {
false
}
}
fn main() {
let temp = read_to_string(stdin()).unwrap();
let mut iter = temp
.split_ascii_whitespace()
.map(|x| x.parse::<usize>().unwrap());
loop {
let n = match iter.next() {
Some(x) => x,
None => {
break;
}
};
let mat = {
let mut mat = vec![vec![0; n]; n];
for i in 0..n {
for j in 0..n {
mat[i][j] = iter.next().unwrap();
}
}
mat
};
let (rcum, ccum) = {
let mut rcum = vec![vec![0; n]; n];
let mut ccum = vec![vec![0; n]; n];
for i in 0..n {
rcum[i][0] = mat[i][0];
ccum[0][i] = mat[0][i];
for j in 1..n {
rcum[i][j] = rcum[i][j - 1] + mat[i][j];
ccum[j][i] = ccum[j - 1][i] + mat[j][i];
}
}
(rcum, ccum)
};
let mut vis = vec![vec![usize::MAX; n]; n];
if is_win(&mut vis, &rcum, &ccum, (n - 1, n - 1)) {
println!("W");
} else {
println!("L");
}
}
}