leetcode-problemset/leetcode-cn/originData/sort-matrix-by-diagonals.json

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        "question": {
            "questionId": "3748",
            "questionFrontendId": "3446",
            "categoryTitle": "Algorithms",
            "boundTopicId": 3065432,
            "title": "Sort Matrix by Diagonals",
            "titleSlug": "sort-matrix-by-diagonals",
            "content": "<p>You are given an <code>n x n</code> square matrix of integers <code>grid</code>. Return the matrix such that:</p>\n\n<ul>\n\t<li>The diagonals in the <strong>bottom-left triangle</strong> (including the middle diagonal) are sorted in <strong>non-increasing order</strong>.</li>\n\t<li>The diagonals in the <strong>top-right triangle</strong> are sorted in <strong>non-decreasing order</strong>.</li>\n</ul>\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\">grid = [[1,7,3],[9,8,2],[4,5,6]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">[[8,2,3],[9,6,7],[4,5,1]]</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/12/29/4052example1drawio.png\" style=\"width: 461px; height: 181px;\" /></p>\n\n<p>The diagonals with a black arrow (bottom-left triangle) should be sorted in non-increasing order:</p>\n\n<ul>\n\t<li><code>[1, 8, 6]</code> becomes <code>[8, 6, 1]</code>.</li>\n\t<li><code>[9, 5]</code> and <code>[4]</code> remain unchanged.</li>\n</ul>\n\n<p>The diagonals with a blue arrow (top-right triangle) should be sorted in non-decreasing order:</p>\n\n<ul>\n\t<li><code>[7, 2]</code> becomes <code>[2, 7]</code>.</li>\n\t<li><code>[3]</code> remains unchanged.</li>\n</ul>\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\">grid = [[0,1],[1,2]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">[[2,1],[1,0]]</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/12/29/4052example2adrawio.png\" style=\"width: 383px; height: 141px;\" /></p>\n\n<p>The diagonals with a black arrow must be non-increasing, so <code>[0, 2]</code> is changed to <code>[2, 0]</code>. The other diagonals are already in the correct order.</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\">grid = [[1]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">[[1]]</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>Diagonals with exactly one element are already in order, so no changes are needed.</p>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>grid.length == grid[i].length == n</code></li>\n\t<li><code>1 &lt;= n &lt;= 10</code></li>\n\t<li><code>-10<sup>5</sup> &lt;= grid[i][j] &lt;= 10<sup>5</sup></code></li>\n</ul>\n",
            "translatedTitle": "按对角线进行矩阵排序",
            "translatedContent": "<p>给你一个大小为&nbsp;<code>n x n</code> 的整数方阵 <code>grid</code>。返回一个经过如下调整的矩阵：</p>\n\n<ul>\n\t<li><strong>左下角三角形</strong>（包括中间对角线）的对角线按&nbsp;<strong>非递增顺序&nbsp;</strong>排序。</li>\n\t<li><strong>右上角三角形&nbsp;</strong>的对角线按&nbsp;<strong>非递减顺序&nbsp;</strong>排序。</li>\n</ul>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1：</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入：</strong> <span class=\"example-io\">grid = [[1,7,3],[9,8,2],[4,5,6]]</span></p>\n\n<p><strong>输出：</strong> <span class=\"example-io\">[[8,2,3],[9,6,7],[4,5,1]]</span></p>\n\n<p><strong>解释：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/12/29/4052example1drawio.png\" style=\"width: 461px; height: 181px;\" /></p>\n\n<p>标有黑色箭头的对角线（左下角三角形）应按非递增顺序排序：</p>\n\n<ul>\n\t<li><code>[1, 8, 6]</code> 变为 <code>[8, 6, 1]</code>。</li>\n\t<li><code>[9, 5]</code> 和 <code>[4]</code> 保持不变。</li>\n</ul>\n\n<p>标有蓝色箭头的对角线（右上角三角形）应按非递减顺序排序：</p>\n\n<ul>\n\t<li><code>[7, 2]</code> 变为 <code>[2, 7]</code>。</li>\n\t<li><code>[3]</code> 保持不变。</li>\n</ul>\n</div>\n\n<p><strong class=\"example\">示例 2：</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入：</strong> <span class=\"example-io\">grid = [[0,1],[1,2]]</span></p>\n\n<p><strong>输出：</strong> <span class=\"example-io\">[[2,1],[1,0]]</span></p>\n\n<p><strong>解释：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/12/29/4052example2adrawio.png\" style=\"width: 383px; height: 141px;\" /></p>\n\n<p>标有黑色箭头的对角线必须按非递增顺序排序，因此 <code>[0, 2]</code> 变为 <code>[2, 0]</code>。其他对角线已经符合要求。</p>\n</div>\n\n<p><strong class=\"example\">示例 3：</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入：</strong> <span class=\"example-io\">grid = [[1]]</span></p>\n\n<p><strong>输出：</strong> <span class=\"example-io\">[[1]]</span></p>\n\n<p><strong>解释：</strong></p>\n\n<p>只有一个元素的对角线已经符合要求，因此无需修改。</p>\n</div>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>grid.length == grid[i].length == n</code></li>\n\t<li><code>1 &lt;= n &lt;= 10</code></li>\n\t<li><code>-10<sup>5</sup> &lt;= grid[i][j] &lt;= 10<sup>5</sup></code></li>\n</ul>\n",
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