g0001_0100.s0064_minimum_path_sum.Solution.rs Maven / Gradle / Ivy

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104 LeetCode algorithm problem solutions

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// #Medium #Top_100_Liked_Questions #Array #Dynamic_Programming #Matrix
// #Dynamic_Programming_I_Day_16 #Udemy_Dynamic_Programming #Big_O_Time_O(m*n)_Space_O(m*n)
// #2024_09_07_Time_0_ms_(100.00%)_Space_2.5_MB_(20.18%)

impl Solution {
    pub fn min_path_sum(grid: Vec>) -> i32 {
        let (w, h) = (grid.len(), grid[0].len());
        let mut dp = vec![vec![0; h]; w];
        
        for i in 0..w {
            for j in 0..h {
                if i == 0 && j == 0 {
                    dp[i][j] = grid[i][j];
                } else if j == 0 {
                    dp[i][j] = grid[i][j] + dp[i-1][j];
                } else if i == 0 {
                    dp[i][j] = grid[i][j] + dp[i][j-1];
                } else {
                    dp[i][j] = grid[i][j] + std::cmp::min(dp[i-1][j], dp[i][j-1]);
                }
            }
        }

        dp[w-1][h-1]
    }
}