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63. Unique Paths II

时间:2019-06-05 19:06:54      阅读:93      评论:0      收藏:0      [点我收藏+]
Medium

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).

Now consider if some obstacles are added to the grids. How many unique paths would there be?

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An obstacle and empty space is marked as 1 and 0 respectively in the grid.

Note: m and n will be at most 100.

Example 1:

Input:
[
  [0,0,0],
  [0,1,0],
  [0,0,0]
]
Output: 2
Explanation:
There is one obstacle in the middle of the 3x3 grid above.
There are two ways to reach the bottom-right corner:
1. Right -> Right -> Down -> Down
2. Down -> Down -> Right -> Right
这个题状态于62像是,但是有1的地方是障碍点不能通过
class Solution {
public:
int uniquePathsWithObstacles(vector<vector<int>>& obstacleGrid) {
int m=obstacleGrid.size();
int n=obstacleGrid[0].size();
vector<vector<int> >dp (m,vector<int>(n));
for(int i=0;i<m;i++)
{
if(obstacleGrid[i][0]==1)
break;
else
dp[i][0]=1;
}
for(int j=0;j<n;j++)
{
if(obstacleGrid[0][j]==1)
break;
else
dp[0][j]=1;
}
for(int i=1;i<m;i++)
for(int j=1;j<n;j++)
{
if(obstacleGrid[i][j]==1)
dp[i][j]=0;
else
dp[i][j]=dp[i-1][j]+dp[i][j-1];
}
return dp[m-1][n-1];

}
};
但是这里会报错

Line 27: Char 23: runtime error: signed integer overflow: 1053165744 + 1579748616 cannot be represented in type ‘int‘ (solution.cpp)
 

int类型精度不够,我们把dp容器的int 换成long就ac了

class Solution {
public:
int uniquePathsWithObstacles(vector<vector<int>>& obstacleGrid) {
int m=obstacleGrid.size();
int n=obstacleGrid[0].size();
vector<vector<long> >dp (m,vector<long>(n));
for(int i=0;i<m;i++)
{
if(obstacleGrid[i][0]==1)
break;
else
dp[i][0]=1;
}
for(int j=0;j<n;j++)
{
if(obstacleGrid[0][j]==1)
break;
else
dp[0][j]=1;
}
for(int i=1;i<m;i++)
for(int j=1;j<n;j++)
{
if(obstacleGrid[i][j]==1)
dp[i][j]=0;
else
dp[i][j]=dp[i-1][j]+dp[i][j-1];
}
return dp[m-1][n-1];

}
};

63. Unique Paths II

原文:https://www.cnblogs.com/flyljz/p/10981232.html

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