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Unique Paths
Dynamic Programming
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.
C++代码:
#include<iostream>using namespace std;class Solution {public: int uniquePaths(int m, int n) { if(m==0||n==0) return 0; int path[m][n]; path[0][0]=0; int i,j; for(i=0;i<m;i++) path[i][0]=1; for(j=0;j<n;j++) path[0][j]=1; for(i=1;i<m;i++) { for(j=1;j<n;j++) path[i][j]=path[i-1][j]+path[i][j-1]; } return path[m-1][n-1]; }};int main(){ Solution s; cout<<s.uniquePaths(3,7)<<endl;}
Unique Paths
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