Unique Paths

Unique Paths

问题：

A robot is located at the top-left corner of a m x n grid (marked 'Start' in the diagram below).

The robot can only move either down or right at any point in time. The robot is trying to reach the bottom-right corner of the grid (marked 'Finish' in the diagram below).

How many possible unique paths are there?

思路：

　　简单的动态规划问题

我的代码：

public class Solution {

    public int uniquePaths(int m, int n) {

        if (m == 0 || n == 0) {

            return 0;

        }

        int count[][] = new int[m][n];

        for(int i = 0; i < m; i++)

        {

            count[i][0] = 1;

        }

        for(int j = 0; j < n; j++)

        {

            count[0][j] = 1;

        }

        for(int i = 1; i < m; i++)

        {

            for(int j = 1; j < n; j++)

            {

                count[i][j] = count[i-1][j] + count[i][j-1];

            }

        }

        return count[m-1][n-1];

    }

}

View Code