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count-square-submatrices-with-all-ones.rs
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// 1277. Count Square Submatrices with All Ones
// 🟠 Medium
//
// https://leetcode.com/problems/count-square-submatrices-with-all-ones/
//
// Tags: Array - Dynamic Programming - Matrix
struct Solution;
impl Solution {
/// Use dynamic programming, visit all cells, for each cell that contains a 1, check the number
/// of squares that finish on that cell using the number of squares that finish in its 3
/// neighbors to the left, top and top-left, and add that to the result.
///
/// Time complexity: O(m*n) - We visit each cell in the matrix and check 3 other cells for
/// each cell that we visit.
/// Space complexity: O(1) - Since we are taking ownership of the matrix, we can decide if we
/// want to mutate it, the caller does not have access to matrix after calling.
///
/// Runtime 3 ms Beats 100%
/// Memory 2.80 MB Beats 66%
pub fn count_squares(mut matrix: Vec<Vec<i32>>) -> i32 {
let mut res = 0;
for r in 0..matrix.len() {
for c in 0..matrix[0].len() {
if matrix[r][c] == 1 {
if r == 0 || c == 0 {
matrix[r][c] = 1;
} else {
matrix[r][c] = 1 + matrix[r - 1][c]
.min(matrix[r][c - 1])
.min(matrix[r - 1][c - 1]);
}
res += matrix[r][c];
}
}
}
res
}
}
// Tests.
fn main() {
let tests = [
(
vec![vec![0, 1, 1, 1], vec![1, 1, 1, 1], vec![0, 1, 1, 1]],
15,
),
(vec![vec![1, 0, 1], vec![1, 1, 0], vec![1, 1, 0]], 7),
];
println!("\n\x1b[92m» Running {} tests...\x1b[0m", tests.len());
let mut success = 0;
for (i, t) in tests.iter().enumerate() {
let res = Solution::count_squares(t.0.clone());
if res == t.1 {
success += 1;
println!("\x1b[92m✔\x1b[95m Test {} passed!\x1b[0m", i);
} else {
println!(
"\x1b[31mx\x1b[95m Test {} failed expected: {:?} but got {}!!\x1b[0m",
i, t.1, res
);
}
}
println!();
if success == tests.len() {
println!("\x1b[30;42m✔ All tests passed!\x1b[0m")
} else if success == 0 {
println!("\x1b[31mx \x1b[41;37mAll tests failed!\x1b[0m")
} else {
println!(
"\x1b[31mx\x1b[95m {} tests failed!\x1b[0m",
tests.len() - success
)
}
}