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[leetcode]Unique Paths II

2014-08-08 22:43 393 查看
Unique Paths II


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.

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]
]


算法思路:

[leetcode]Unique Paths几乎一样,就加上一个判断好了。

代码如下:

public class Solution {
public int uniquePathsWithObstacles(int[][] obstacleGrid) {
if(obstacleGrid == null || obstacleGrid.length == 0) return 0;
int height = obstacleGrid.length;
int width = obstacleGrid[0].length;
int[][] dp = new int[height][width];
for(int i = 0; i < width;i++){
if(obstacleGrid[0][i] == 0){
dp[0][i] = 1;
}else{
break;
}
}
for(int i = 0; i < height;i++){
if(obstacleGrid[i][0] == 0){
dp[i][0] = 1;
}else{
break;
}
}
for(int i = 1; i < height; i++){
for(int j = 1; j < width;j++){
if(obstacleGrid[i][j] == 0)
dp[i][j] = dp[i - 1][j] + dp[i][j - 1];
}
}
return dp[height - 1][width - 1];
}
}
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