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) {
if(m<=0||n<=0)
return 0;
if(m==1&&n==1)
return 1;
int[][] f=new int[m+1][n+1];
for(int i=1;i<=m;i++)
f[i][1]=1;
for(int i=1;i<=n;i++)
f[1][i]=1;
for(int i=2;i<=m;i++)
for(int j=2;j<=n;j++)
{
f[i][j]=f[i-1][j]+f[i][j-1];
}
return f[m][n];
}
}