64. Minimum Path Sum

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    /*     * 64. Minimum Path Sum     * 12.20 by Mingyang      * 這道題目我完全使用的Unique Path的架構在構造的     */    public int minPathSum(int[][] grid) {        int m = grid.length;        int n = grid[0].length;        int[][] dp = new int[m][n];        dp[0][0] = grid[0][0];        // 只有一行時,到終點每個格子只有一種走法        for (int i = 1; i < n; i++)            dp[0][i] = dp[0][i - 1] + grid[0][i];        // 只有一列時,到終點每個格子只有一種走法        for (int i = 1; i < m; i++)            dp[i][0] = dp[i - 1][0] + grid[i][0];        // for each body node, number of path = paths from top + paths from left        for (int i = 1; i < m; i++) {            for (int j = 1; j < n; j++) {                dp[i][j] = Math.min(dp[i - 1][j], dp[i][j - 1]) + grid[i][j];            }        }        return dp[m - 1][n - 1];    }

 

64. Minimum Path Sum

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