In an N by N square grid, each cell is either empty (0) or blocked (1).
A clear path from top-left to bottom-right has length k
if and only if it is composed of cells C_1, C_2, ..., C_k
such that:
C_i
and C_{i+1}
are connected 8-directionally
(ie., they are different and share an edge or corner)
C_1
is at location (0, 0)
(ie. has value
grid[0][0]
)
C_k
is at location (N-1, N-1)
(ie. has value grid[N-1][N-1]
)
C_i
is located at (r, c)
, then grid[r][c]
is empty (ie. grid[r][c] == 0
).
Return the length of the shortest such clear path from top-left to bottom-right. If such a path does not exist, return -1.
Example 1:
Input: [[0,1],[1,0]]
Output: 2
Example 2:
Input: [[0,0,0],[1,1,0],[1,1,0]]
Output: 4