LeetCode 64. Minimum Path Sum 解题报告

64. Minimum Path Sum

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Total Accepted: 63385 Total Submissions: 185663 Difficulty: Medium

Given a m x n grid filled with non-negative numbers, find a path from top left to bottom right which minimizes the sum of all numbers along its path.

Note: You can only move either down or right at any point in time.

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    显然DP求解。

    我的AC代码

public class MinimumPathSum {public static void main(String[] args) {int[][] a = {{1,2},{1,1}};System.out.print(minPathSum(a));}public static int minPathSum(int[][] grid) {if (grid.length == 0 || grid[0].length == 0)return 0;// initiateint[][] dp = new int[grid.length][grid[0].length];dp[0][0] = grid[0][0];int rows = dp.length;int cols = dp[0].length;for (int i = 1; i < rows; i++) {dp[i][0] += (dp[i - 1][0] + grid[i][0]);}for (int i = 1; i < cols; i++) {dp[0][i] += (dp[0][i - 1] + grid[0][i]);}for (int i = 1; i < rows; i++) {for (int j = 1; j < dp[i].length; j++) {int min = Math.min(dp[i - 1][j], dp[i][j - 1]);dp[i][j] = grid[i][j] + min;}}return dp[rows -1][cols -1];}}