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impl Solution {
pub fn matrix_block_sum(mat: Vec<Vec<i32>>, k: i32) -> Vec<Vec<i32>> {
let m = mat.len();
let n = mat[0].len();
let ku = k as usize;
let mut prefix: Vec<Vec<i32>> = Vec::new();
let mut i: usize = 0;
while i < m {
let mut row: Vec<i32> = Vec::new();
let mut j: usize = 0;
while j < n {
let above: i32 = if i > 0 { prefix[i - 1][j] } else { 0 };
let left: i32 = if j > 0 { row[j - 1] } else { 0 };
let diag: i32 = if i > 0 && j > 0 { prefix[i - 1][j - 1] } else { 0 };
let val: i32 = mat[i][j] + above + left - diag;
row.push(val);
j += 1;
}
prefix.push(row);
i += 1;
}
let mut answer: Vec<Vec<i32>> = Vec::new();
i = 0;
while i < m {
let mut row: Vec<i32> = Vec::new();
let mut j: usize = 0;
while j < n {
let r1: usize = if i >= ku { i - ku } else { 0 };
let r2: usize = if i + ku < m { i + ku } else { m - 1 };
let c1: usize = if j >= ku { j - ku } else { 0 };
let c2: usize = if j + ku < n { j + ku } else { n - 1 };
let top_right: i32 = if r1 > 0 { prefix[r1 - 1][c2] } else { 0 };
let bottom_left: i32 = if c1 > 0 { prefix[r2][c1 - 1] } else { 0 };
let top_left: i32 = if r1 > 0 && c1 > 0 { prefix[r1 - 1][c1 - 1] } else { 0 };
let val: i32 = prefix[r2][c2] - top_right - bottom_left + top_left;
row.push(val);
j += 1;
}
answer.push(row);
i += 1;
}
answer
}
}