[leetcode-64]Minimum Path Sum(C)

问题描述：

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.

分析：和上两道题一样，这个也是使用DP算法，比较简单。

代码如下：20ms

[code]int minPathSum(int** grid, int gridRowSize, int gridColSize) {
    int row,col;
    int *nums = (int *)malloc(sizeof(int)*gridColSize);

    row = gridRowSize-1;
    col = gridColSize-1;

    nums[col] = grid[row][col];

    for(--col;col>=0;col--){
        nums[col] = grid[row][col] + nums[col+1];
    }
    for(row = gridRowSize-2;row>=0;row--){
        for(col = gridColSize-1;col>=0;col--){
             int right = 10000000;
             if(col+1<gridColSize)
                right = nums[col+1];

             int offset = (right<nums[col])?right:nums[col];
             nums[col] = grid[row][col]+offset;
        }
    }
    return nums[0];
}