{ "data": { "question": { "questionId": "2641", "questionFrontendId": "2556", "categoryTitle": "Algorithms", "boundTopicId": 2089800, "title": "Disconnect Path in a Binary Matrix by at Most One Flip", "titleSlug": "disconnect-path-in-a-binary-matrix-by-at-most-one-flip", "content": "
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
.
\n
Example 1:
\n\n\nInput: grid = [[1,1,1],[1,0,0],[1,1,1]]\nOutput: true\nExplanation: We can change the cell shown in the diagram above. There is no path from (0, 0) to (2, 2) in the resulting grid.\n\n\n
Example 2:
\n\n\nInput: grid = [[1,1,1],[1,0,1],[1,1,1]]\nOutput: false\nExplanation: It is not possible to change at most one cell such that there is not path from (0, 0) to (2, 2).\n\n\n
\n
Constraints:
\n\nm == 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
给你一个下标从 0 开始的 m x n
二进制 矩阵 grid
。你可以从一个格子 (row, col)
移动到格子 (row + 1, col)
或者 (row, col + 1)
,前提是前往的格子值为 1
。如果从 (0, 0)
到 (m - 1, n - 1)
没有任何路径,我们称该矩阵是 不连通 的。
你可以翻转 最多一个 格子的值(也可以不翻转)。你 不能翻转 格子 (0, 0)
和 (m - 1, n - 1)
。
如果可以使矩阵不连通,请你返回 true
,否则返回 false
。
注意 ,翻转一个格子的值,可以使它的值从 0
变 1
,或从 1
变 0
。
\n\n
示例 1:
\n\n\n\n\n输入:grid = [[1,1,1],[1,0,0],[1,1,1]]\n输出:true\n解释:按照上图所示我们翻转蓝色格子里的值,翻转后从 (0, 0) 到 (2, 2) 没有路径。\n\n\n
示例 2:
\n\n\n\n\n输入:grid = [[1,1,1],[1,0,1],[1,1,1]]\n输出:false\n解释:无法翻转至多一个格子,使 (0, 0) 到 (2, 2) 没有路径。\n\n\n
\n\n
提示:
\n\nm == grid.length
n == grid[i].length
1 <= m, n <= 1000
1 <= m * n <= 105
grid[0][0] == grid[m - 1][n - 1] == 1
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