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2556-disconnect-path-in-a-binary-matrix-by-at-most-one-flip.adoc

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2556. Disconnect Path in a Binary Matrix by at Most One Flip

{leetcode}/problems/disconnect-path-in-a-binary-matrix-by-at-most-one-flip/[LeetCode - 2556. Disconnect Path in a Binary Matrix by at Most One Flip ^]

You are given a 0-indexed m x n binary matrix grid. You can move from a cell (row, col) to any of the cells (row + 1, col) or (row, col + 1) that has the value 1. The matrix is disconnected if there is no path from (0, 0) to (m - 1, n - 1).

You can flip the value of at most one (possibly none) cell. You cannot flip the cells (0, 0) and (m - 1, n - 1).

Return true if it is possible to make the matrix disconnect or _`false` otherwise_.

Note that flipping a cell changes its value from 0 to 1 or from 1 to 0.

Example 1: <img alt="" src="https://assets.leetcode.com/uploads/2022/12/07/yetgrid2drawio.png" style="width: 441px; height: 151px;" />

Input: grid = [[1,1,1],[1,0,0],[1,1,1]]
Output: true
Explanation: We can change the cell shown in the diagram above. There is no path from (0, 0) to (2, 2) in the resulting grid.
Input: grid = [[1,1,1],[1,0,1],[1,1,1]]
Output: false
Explanation: It is not possible to change at most one cell such that there is not path from (0, 0) to (2, 2).

Constraints:

  • m == grid.length

  • n == grid[i].length

  • 1 ⇐ m, n ⇐ 1000

  • 1 ⇐ m * n ⇐ 105

  • grid[i][j] is either 0 or 1.

  • grid[0][0] == grid[m - 1][n - 1] == 1

思路分析

一刷
link:{sourcedir}/_2556_DisconnectPathInABinaryMatrixByAtMostOneFlip.java[role=include]

参考资料