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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.
题意:如果地图上有障碍物,此障碍物不能通过 在数组中用1表示障碍物,求从起点到终点有多少种走法。
思路
1. 如果没有障碍val[i][0] = 1val[0][j] = 1val[i][j] = val[i-1][j] + val[i][j-1]2. 有了障碍后如果obstacle[i][j] = 1 val[i][j] = 1否则 tmp = obstacle[i-1][j] == 1 ? 0 : val[i-1][j] tmp = obstacle[i][j-1] == 1 ? tmp : tmp + val[i-1][j-1] val[i][j] = tmp
class Solution {public: int uniquePathsWithObstacles(vector> &obstacleGrid) { int row = obstacleGrid.size(); int col = obstacleGrid[0].size(); int token = 1; int val[row][col]; for (int j = 0; j < col; ++j) { if(obstacleGrid[0][j] == 1) token = 0; val[0][j] = token; } token = 1; for (int i = 0; i < row; ++i) { if(obstacleGrid[i][0] == 1) token = 0; val[i][0] = token; } for (int i = 1; i < row; ++i) { for(int j = 1; j < col; ++j) { if (obstacleGrid[i][j] == 1) val[i][j] = 0; else { int tmp = obstacleGrid[i-1][j] == 1 ? 0 :val[i-1][j]; tmp = obstacleGrid[i][j-1] == 1 ? tmp : tmp + val[i][j-1]; val[i][j] = tmp; } } } return val[row-1][col-1]; }};
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