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[LeetCode][JavaScript]Unique Paths II

时间:2015-07-23 00:33:01      阅读:277      评论:0      收藏:0      [点我收藏+]

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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]
]

The total number of unique paths is 2.

Note: m and n will be at most 100.

https://leetcode.com/problems/unique-paths-ii/

 

 


 

 

接着上一题。

http://www.cnblogs.com/Liok3187/p/4646924.html

还是递推,当前格值就是上方的值加上左边的值。

每一轮都做一个"厂"字,以左上为中心,先往右再往下。

处理障碍:在往右和往下的途中,如果遇到了障碍,这一行或者一列就都是0了。

 1 /**
 2  * @param {number[][]} obstacleGrid
 3  * @return {number}
 4  */
 5 var uniquePathsWithObstacles = function(obstacleGrid) {
 6     var i, j, map = [];
 7     var m = obstacleGrid.length, n = obstacleGrid[0].length, len = Math.min(m, n);
 8     for(i = 0; i < m; i++){
 9         map[i] = [];
10     }
11 
12     for(i = 0; i < len; i++){
13         var meetOb = false;
14         for(j = i; j < n; j++){
15             if(obstacleGrid[i][j] === 1){
16                 meetOb = true;
17                 map[i][j] = 0;
18                 continue;
19             }
20             if(i === 0 && !meetOb){
21                 map[i][j] = 1;
22             }else if(i === 0 && meetOb){
23                 map[i][j] = 0;
24             }else{
25                 map[i][j] = map[i - 1][j] + map[i][j - 1];
26             }
27         }
28         meetOb = false;
29         for(j = i + 1; j < m; j++){
30             if(obstacleGrid[j][i] === 1){
31                 map[j][i] = 0;
32                 meetOb = true;
33                 continue;
34             }
35             if(i === 0 && !meetOb){
36                 map[j][i] = 1;
37             }else if(i === 0 && meetOb){
38                 map[j][i] = 0;
39             }else{
40                 map[j][i] = map[j - 1][i] + map[j][i - 1];
41             }
42         }
43     }
44     return obstacleGrid[0][0] !== 1 ? map[m - 1][n - 1] : 0;
45 };

 

 

 

 

[LeetCode][JavaScript]Unique Paths II

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原文地址:http://www.cnblogs.com/Liok3187/p/4668974.html

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