Shortest Path in Binary Matrix

Medium

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You are 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 = [
    [0,1,0],
    [1,0,0],
    [1,1,0]
]

Output: 3

Example 2:

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

Output: -1

Constraints:

  • 1 <= grid.length == grid[i].length <= 100
  • grid[i][j] is 0 or 1.


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grid =