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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?
Above is a 3 x 7 grid. How many possible unique paths are there? Note: m and n will be at most 100.
public class Solution { public int uniquePaths(int m, int n) { Integer[][] map = new Integer[m][n]; for(int i = 0; i<m;i++){ map[i][0] = 1; } for(int j= 0;j<n;j++){ map[0][j]=1; } for(int i = 1;i<m;i++){ for(int j = 1;j<n;j++){ map[i][j] = map[i-1][j]+map[i][j-1]; } } return map[m-1][n-1]; } }
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原文地址:http://www.cnblogs.com/apanda009/p/7451751.html