{ "data": { "question": { "questionId": "2794", "questionFrontendId": "2684", "categoryTitle": "Algorithms", "boundTopicId": 2265990, "title": "Maximum Number of Moves in a Grid", "titleSlug": "maximum-number-of-moves-in-a-grid", "content": "
You are given a 0-indexed m x n
matrix grid
consisting of positive integers.
You can start at any cell in the first column of the matrix, and traverse the grid in the following way:
\n\n(row, col)
, you can move to any of the cells: (row - 1, col + 1)
, (row, col + 1)
and (row + 1, col + 1)
such that the value of the cell you move to, should be strictly bigger than the value of the current cell.Return the maximum number of moves that you can perform.
\n\n\n
Example 1:
\n\n\nInput: grid = [[2,4,3,5],[5,4,9,3],[3,4,2,11],[10,9,13,15]]\nOutput: 3\nExplanation: We can start at the cell (0, 0) and make the following moves:\n- (0, 0) -> (0, 1).\n- (0, 1) -> (1, 2).\n- (1, 2) -> (2, 3).\nIt can be shown that it is the maximum number of moves that can be made.\n\n
Example 2:
\n\n\n\nInput: grid = [[3,2,4],[2,1,9],[1,1,7]]\nOutput: 0\nExplanation: Starting from any cell in the first column we cannot perform any moves.\n\n\n
\n
Constraints:
\n\nm == grid.length
n == grid[i].length
2 <= m, n <= 1000
4 <= m * n <= 105
1 <= grid[i][j] <= 106
给你一个下标从 0 开始、大小为 m x n
的矩阵 grid
,矩阵由若干 正 整数组成。
你可以从矩阵第一列中的 任一 单元格出发,按以下方式遍历 grid
:
(row, col)
可以移动到 (row - 1, col + 1)
、(row, col + 1)
和 (row + 1, col + 1)
三个单元格中任一满足值 严格 大于当前单元格的单元格。返回你在矩阵中能够 移动 的 最大 次数。
\n\n\n\n
示例 1:
\n\n输入:grid = [[2,4,3,5],[5,4,9,3],[3,4,2,11],[10,9,13,15]]\n输出:3\n解释:可以从单元格 (0, 0) 开始并且按下面的路径移动:\n- (0, 0) -> (0, 1).\n- (0, 1) -> (1, 2).\n- (1, 2) -> (2, 3).\n可以证明这是能够移动的最大次数。\n\n
示例 2:
\n\n\n输入:grid = [[3,2,4],[2,1,9],[1,1,7]]\n输出:0\n解释:从第一列的任一单元格开始都无法移动。\n\n\n
\n\n
提示:
\n\nm == grid.length
n == grid[i].length
2 <= m, n <= 1000
4 <= m * n <= 105
1 <= grid[i][j] <= 106
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