mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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180 lines
18 KiB
JSON
180 lines
18 KiB
JSON
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"title": "Maximum Difference Score in a Grid",
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"content": "<p>You are given an <code>m x n</code> matrix <code>grid</code> consisting of <strong>positive</strong> integers. You can move from a cell in the matrix to <strong>any</strong> other cell that is either to the bottom or to the right (not necessarily adjacent). The score of a move from a cell with the value <code>c1</code> to a cell with the value <code>c2</code> is <code>c2 - c1</code>.<!-- notionvc: 8819ca04-8606-4ecf-815b-fb77bc63b851 --></p>\n\n<p>You can start at <strong>any</strong> cell, and you have to make <strong>at least</strong> one move.</p>\n\n<p>Return the <strong>maximum</strong> total score you can achieve.</p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/03/14/grid1.png\" style=\"width: 240px; height: 240px;\" />\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">grid = [[9,5,7,3],[8,9,6,1],[6,7,14,3],[2,5,3,1]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">9</span></p>\n\n<p><strong>Explanation:</strong> We start at the cell <code>(0, 1)</code>, and we perform the following moves:<br />\n- Move from the cell <code>(0, 1)</code> to <code>(2, 1)</code> with a score of <code>7 - 5 = 2</code>.<br />\n- Move from the cell <code>(2, 1)</code> to <code>(2, 2)</code> with a score of <code>14 - 7 = 7</code>.<br />\nThe total score is <code>2 + 7 = 9</code>.</p>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/04/08/moregridsdrawio-1.png\" style=\"width: 180px; height: 116px;\" /></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">grid = [[4,3,2],[3,2,1]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">-1</span></p>\n\n<p><strong>Explanation:</strong> We start at the cell <code>(0, 0)</code>, and we perform one move: <code>(0, 0)</code> to <code>(0, 1)</code>. The score is <code>3 - 4 = -1</code>.</p>\n</div>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>m == grid.length</code></li>\n\t<li><code>n == grid[i].length</code></li>\n\t<li><code>2 <= m, n <= 1000</code></li>\n\t<li><code>4 <= m * n <= 10<sup>5</sup></code></li>\n\t<li><code>1 <= grid[i][j] <= 10<sup>5</sup></code></li>\n</ul>\n",
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"Any path from a cell <code>(x1, y1)</code> to another cell <code>(x2, y2)</code> will always have a score of <code>grid[x2][y2] - grid[x1][y1]</code>.",
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"Let’s say we fix the starting cell <code>(x1, y1)</code>, how to the find a cell <code>(x2, y2)</code> such that the value <code>grid[x2][y2] - grid[x1][y1]</code> is the maximum possible?"
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