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.
DP基础题,不多说了,左和上方转移
代码语言:javascript复制class Solution {
public:
int uniquePaths(int m, int n) {
vector<int> row(n 1,0);
vector<vector<int>> dp(m 1,row);
dp[0][1]=1;
for(int i=1;i<=m;i )
for(int j=1;j<=n;j )
dp[i][j]=dp[i-1][j] dp[i][j-1];
return dp[m][n];
}
};