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<h2><a href="https://leetcode.com/problems/maximum-number-of-moves-in-a-grid/?envType=daily-question&envId=2024-10-29">2684. Maximum Number of Moves in a Grid</a></h2><h3>Medium</h3><hr><p>You are given a <strong>0-indexed</strong> <code>m x n</code> matrix <code>grid</code> consisting of <strong>positive</strong> integers.</p> | ||
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<p>You can start at <strong>any</strong> cell in the first column of the matrix, and traverse the grid in the following way:</p> | ||
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<ul> | ||
<li>From a cell <code>(row, col)</code>, you can move to any of the cells: <code>(row - 1, col + 1)</code>, <code>(row, col + 1)</code> and <code>(row + 1, col + 1)</code> such that the value of the cell you move to, should be <strong>strictly</strong> bigger than the value of the current cell.</li> | ||
</ul> | ||
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<p>Return <em>the <strong>maximum</strong> number of <strong>moves</strong> that you can perform.</em></p> | ||
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<p> </p> | ||
<p><strong class="example">Example 1:</strong></p> | ||
<img alt="" src="https://assets.leetcode.com/uploads/2023/04/11/yetgriddrawio-10.png" style="width: 201px; height: 201px;" /> | ||
<pre> | ||
<strong>Input:</strong> grid = [[2,4,3,5],[5,4,9,3],[3,4,2,11],[10,9,13,15]] | ||
<strong>Output:</strong> 3 | ||
<strong>Explanation:</strong> 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.</pre> | ||
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<p><strong class="example">Example 2:</strong></p> | ||
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<pre> | ||
<img alt="" src="https://assets.leetcode.com/uploads/2023/04/12/yetgrid4drawio.png" /> | ||
<strong>Input:</strong> grid = [[3,2,4],[2,1,9],[1,1,7]] | ||
<strong>Output:</strong> 0 | ||
<strong>Explanation:</strong> Starting from any cell in the first column we cannot perform any moves. | ||
</pre> | ||
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<p> </p> | ||
<p><strong>Constraints:</strong></p> | ||
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<ul> | ||
<li><code>m == grid.length</code></li> | ||
<li><code>n == grid[i].length</code></li> | ||
<li><code>2 <= m, n <= 1000</code></li> | ||
<li><code>4 <= m * n <= 10<sup>5</sup></code></li> | ||
<li><code>1 <= grid[i][j] <= 10<sup>6</sup></code></li> | ||
</ul> |