shortest-path-in-binary-matrix

shortest-path-in-binary-matrix


Given an n x n binary matrix grid, return the length of the shortest clear path in the matrix. If there is no clear path, return -1.



A clear path in a binary matrix is a path from the top-left cell (i.e., (0, 0)) to the bottom-right cell (i.e., (n - 1, n - 1)) such that:




  • All the visited cells of the path are 0.

  • All the adjacent cells of the path are 8-directionally connected (i.e., they are different and they share an edge or a corner).



The length of a clear path is the number of visited cells of this path.



 


Example 1:



Input: grid = [[0,1],[1,0]]
Output: 2


Example 2:



Input: grid = [[0,0,0],[1,1,0],[1,1,0]]
Output: 4


Example 3:



Input: grid = [[1,0,0],[1,1,0],[1,1,0]]
Output: -1


 


Constraints:




  • n == grid.length

  • n == grid[i].length

  • 1 <= n <= 100

  • grid[i][j] is 0 or 1


Report Page