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Maximum Number of Moves in a Grid

You are given a 0-indexed m x n matrix grid consisting of positive integers.

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:

Return the maximum number of moves that you can perform.

Maximum Number of Moves in a Grid diagram

Example 1

Input: grid = [[2,4,3,5],[5,4,9,3],[3,4,2,11],[10,9,13,15]]

Output: 3

Explanation: We can start at the cell (0, 0) and make the following moves: - (0, 0) -> (0, 1). - (0, 1) -> (1, 2). - (1, 2) -> (2, 3). It can be shown that it is the maximum number of moves that can be made.

Example 2

Input: grid = [[3,2,4],[2,1,9],[1,1,7]]

Output: 0

Explanation: Starting from any cell in the first column we cannot perform any moves.

Constraints

  • m == grid.length
  • n == grid[i].length
  • 2 <= m, n <= 1000
  • 4 <= m * n <= 10^5
  • 1 <= grid[i][j] <= 10^6

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