题目:

Follow up for "Unique Paths":

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

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

For example,

There is one obstacle in the middle of a 3x3 grid as illustrated below.

[
[0,0,0],
[0,1,0],
[0,0,0]
]

The total number of unique paths is 2.

Note: m and n will be at most 100.

分析:

上一题的follow-up,加上了障碍物,思路一样,只是障碍物处dp[i][j] = 0;

代码:

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

注:为什么这道题里dp[m][n] = {0}不能把二维数组初始化为0了......

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