CODE:
class Solution {
public:
int uniquePathsWithObstacles(vector<vector<int>>& obstacleGrid)
{
int m=obstacleGrid.size();
int n=obstacleGrid[0].size();
if(obstacleGrid[0][0]==1) // initial point has a obstacle base case
return 0;
vector<vector<int>> dp(m, vector<int> (n,0));
for(int i=0;i<m;i++)
{
if(obstacleGrid[i][0]) // can not reach any further point from here
break;
else
dp[i][0]=1;
}
for(int j=0;j<n;j++)
{
if(obstacleGrid[0][j]) // can not reach any further point from here
break;
else
dp[0][j]=1;
}
for(int i=1;i<m;i++)
{
for(int j=1;j<n;j++)
{
if(!obstacleGrid[i][j])
dp[i][j]=dp[i-1][j]+dp[i][j-1]; // number of ways = no of ways to reach i,j-1 + no of ways to reach i-1,j
}
}
return dp[m-1][n-1];
}
};