LeetCode OJ:Unique Paths II(唯一路径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]
]

这个与前面那个题目基本上差不多,具体就是多了障碍,实际上遇到障碍的话把到该点的路径的数目置为0就可以了,其他的基本上与前面相同:

 1 class Solution {
 2 public:
 3     int uniquePathsWithObstacles(vector<vector<int>>& obstacleGrid) {
 4         if(obstacleGrid.size() == 0 || obstacleGrid[0].size() == 0) return 0;
 5         vector<vector<int>> res(obstacleGrid.size(), vector<int>(obstacleGrid[0].size(), 0));
 6         int maxHor = obstacleGrid.size();
 7         int maxVer = obstacleGrid[0].size();
 8         res[0][0] = obstacleGrid[0][0] == 1 ? 0 : 1;
 9         for(int i = 1; i < maxHor; ++i){
10             res[i][0] = obstacleGrid[i][0] == 1 ? 0 : res[i - 1][0];
11         }
12         for(int j = 1; j < maxVer; ++j){
13             res[0][j] = obstacleGrid[0][j] == 1 ? 0 : res[0][j - 1];
14         }
15         for(int i = 1; i < maxHor; ++i){
16             for(int j = 1; j < maxVer; ++j){
17                 res[i][j] = obstacleGrid[i][j] == 1 ? 0 : res[i - 1][j] + res[i][j - 1];
18             }
19         }
20         return res[maxHor - 1][maxVer - 1];
21     }
22 };

 java版本的代码如下所示:

 1 public class Solution {
 2     public int uniquePathsWithObstacles(int[][] obstacleGrid) {
 3         if(obstacleGrid.length == 0 || obstacleGrid[0].length == 0)
 4             return 0;
 5         int [][] grid = new int [obstacleGrid.length][obstacleGrid[0].length];
 6         grid[0][0] = obstacleGrid[0][0]==1 ? 0 : 1;
 7         for(int i = 1; i < obstacleGrid.length; ++i){
 8             grid[i][0] = obstacleGrid[i][0]==1? 0 : grid[i-1][0];
 9         }
10         for(int i = 1; i < obstacleGrid[0].length; ++i){
11             grid[0][i] = obstacleGrid[0][i]==1? 0 : grid[0][i-1];
12         }
13         for(int i = 1; i < obstacleGrid.length; ++i){
14             for(int j = 1; j < obstacleGrid[0].length; ++j){
15                 grid[i][j] = obstacleGrid[i][j]==1? 0 : (grid[i-1][j] + grid[i][j-1]);
16             }
17         }
18         return grid[obstacleGrid.length-1][obstacleGrid[0].length-1];
19     }
20 }
原文地址:https://www.cnblogs.com/-wang-cheng/p/4901486.html