• 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 }
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  • 原文地址:https://www.cnblogs.com/-wang-cheng/p/4901486.html
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