{ "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.

\n\n

You can start at any cell in the first column of the matrix, and traverse the grid in the following way:

\n\n\n\n

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\n\n", "translatedTitle": "矩阵中移动的最大次数", "translatedContent": "

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 整数组成。

\n\n

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

\n\n\n\n

返回你在矩阵中能够 移动最大 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:

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