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Unique Paths
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.
思路
public class Solution { public int uniquePaths(int m, int n) { if(m<=0||n<=0) { return 0; } if(n>m) { return uniquePaths(n,m); } int []ROW=new int[n]; int row; int col; for(col=0;col<n;col++) { ROW[col]=1; } for(row=m-2;row>=0;row--) { for(col=n-2;col>=0;col--) { ROW[col]=ROW[col]+ROW[col+1]; } } return ROW[0]; } }
Unique Paths
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