leetcode-problemset/leetcode-cn/originData/maximum-value-sum-by-placing-three-rooks-i.json

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            "title": "Maximum Value Sum by Placing Three Rooks I",
            "titleSlug": "maximum-value-sum-by-placing-three-rooks-i",
            "content": "<p>You are given a <code>m x n</code> 2D array <code>board</code> representing a chessboard, where <code>board[i][j]</code> represents the <strong>value</strong> of the cell <code>(i, j)</code>.</p>\n\n<p>Rooks in the <strong>same</strong> row or column <strong>attack</strong> each other. You need to place <em>three</em> rooks on the chessboard such that the rooks <strong>do not</strong> <strong>attack</strong> each other.</p>\n\n<p>Return the <strong>maximum</strong> sum of the cell <strong>values</strong> on which the rooks are placed.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">board = </span>[[-3,1,1,1],[-3,1,-3,1],[-3,2,1,1]]</p>\n\n<p><strong>Output:</strong> 4</p>\n\n<p><strong>Explanation:</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/08/08/rooks2.png\" style=\"width: 294px; height: 450px;\" /></p>\n\n<p>We can place the rooks in the cells <code>(0, 2)</code>, <code>(1, 3)</code>, and <code>(2, 1)</code> for a sum of <code>1 + 1 + 2 = 4</code>.</p>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">board = [[1,2,3],[4,5,6],[7,8,9]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">15</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>We can place the rooks in the cells <code>(0, 0)</code>, <code>(1, 1)</code>, and <code>(2, 2)</code> for a sum of <code>1 + 5 + 9 = 15</code>.</p>\n</div>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">board = [[1,1,1],[1,1,1],[1,1,1]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">3</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>We can place the rooks in the cells <code>(0, 2)</code>, <code>(1, 1)</code>, and <code>(2, 0)</code> for a sum of <code>1 + 1 + 1 = 3</code>.</p>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>3 &lt;= m == board.length &lt;= 100</code></li>\n\t<li><code>3 &lt;= n == board[i].length &lt;= 100</code></li>\n\t<li><code>-10<sup>9</sup> &lt;= board[i][j] &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
            "translatedTitle": "放三个车的价值之和最大 I",
            "translatedContent": "<p>给你一个&nbsp;<code>m x n</code>&nbsp;的二维整数数组&nbsp;<code>board</code>&nbsp;，它表示一个国际象棋棋盘，其中&nbsp;<code>board[i][j]</code>&nbsp;表示格子 <code>(i, j)</code>&nbsp;的 <strong>价值</strong>&nbsp;。</p>\n\n<p>处于 <strong>同一行</strong>&nbsp;或者 <strong>同一列</strong>&nbsp;车会互相 <strong>攻击</strong>&nbsp;。你需要在棋盘上放三个车，确保它们两两之间都&nbsp;<b>无法互相攻击</b>&nbsp;。</p>\n\n<p>请你返回满足上述条件下，三个车所在格子 <strong>值</strong>&nbsp;之和 <strong>最大</strong>&nbsp;为多少。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1：</strong></p>\n\n<div class=\"example-block\">\n<p><span class=\"example-io\"><b>输入：</b>board = </span>[[-3,1,1,1],[-3,1,-3,1],[-3,2,1,1]]</p>\n\n<p><b>输出：</b>4</p>\n\n<p><strong>解释：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/08/08/rooks2.png\" style=\"width: 294px; height: 450px;\" /></p>\n\n<p>我们可以将车分别放在格子&nbsp;<code>(0, 2)</code>&nbsp;，<code>(1, 3)</code>&nbsp;和&nbsp;<code>(2, 1)</code>&nbsp;处，价值之和为&nbsp;<code>1 + 1 + 2 = 4</code>&nbsp;。</p>\n</div>\n\n<p><strong class=\"example\">示例 2：</strong></p>\n\n<div class=\"example-block\">\n<p><span class=\"example-io\"><b>输入：</b>board = [[1,2,3],[4,5,6],[7,8,9]]</span></p>\n\n<p><span class=\"example-io\"><b>输出：</b>15</span></p>\n\n<p><strong>解释：</strong></p>\n\n<p>我们可以将车分别放在格子&nbsp;<code>(0, 0)</code>&nbsp;，<code>(1, 1)</code>&nbsp;和&nbsp;<code>(2, 2)</code>&nbsp;处，价值之和为&nbsp;<code>1 + 5 + 9 = 15</code>&nbsp;。</p>\n</div>\n\n<p><strong class=\"example\">示例 3：</strong></p>\n\n<div class=\"example-block\">\n<p><span class=\"example-io\"><b>输入：</b>board = [[1,1,1],[1,1,1],[1,1,1]]</span></p>\n\n<p><span class=\"example-io\"><b>输出：</b>3</span></p>\n\n<p><strong>解释：</strong></p>\n\n<p>我们可以将车分别放在格子&nbsp;<code>(0, 2)</code>&nbsp;，<code>(1, 1)</code>&nbsp;和&nbsp;<code>(2, 0)</code>&nbsp;处，价值之和为&nbsp;<code>1 + 1 + 1 = 3</code>&nbsp;。</p>\n</div>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>3 &lt;= m == board.length &lt;= 100</code></li>\n\t<li><code>3 &lt;= n == board[i].length &lt;= 100</code></li>\n\t<li><code>-10<sup>9</sup> &lt;= board[i][j] &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
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