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"question": {
"questionId": "3733",
"questionFrontendId": "3459",
"categoryTitle": "Algorithms",
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"title": "Length of Longest V-Shaped Diagonal Segment",
"titleSlug": "length-of-longest-v-shaped-diagonal-segment",
"content": "<p>You are given a 2D integer matrix <code>grid</code> of size <code>n x m</code>, where each element is either <code>0</code>, <code>1</code>, or <code>2</code>.</p>\n\n<p>A <strong>V-shaped diagonal segment</strong> is defined as:</p>\n\n<ul>\n\t<li>The segment starts with <code>1</code>.</li>\n\t<li>The subsequent elements follow this infinite sequence: <code>2, 0, 2, 0, ...</code>.</li>\n\t<li>The segment:\n\t<ul>\n\t\t<li>Starts <strong>along</strong> a diagonal direction (top-left to bottom-right, bottom-right to top-left, top-right to bottom-left, or bottom-left to top-right).</li>\n\t\t<li>Continues the<strong> sequence</strong> in the same diagonal direction.</li>\n\t\t<li>Makes<strong> at most one clockwise 90-degree</strong><strong> turn</strong> to another diagonal direction while <strong>maintaining</strong> the sequence.</li>\n\t</ul>\n\t</li>\n</ul>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2025/01/11/length_of_longest3.jpg\" style=\"width: 481px; height: 202px;\" /></p>\n\n<p>Return the <strong>length</strong> of the <strong>longest</strong> <strong>V-shaped diagonal segment</strong>. If no valid segment <em>exists</em>, return 0.</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\">grid = [[2,2,1,2,2],[2,0,2,2,0],[2,0,1,1,0],[1,0,2,2,2],[2,0,0,2,2]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">5</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/12/09/matrix_1-2.jpg\" style=\"width: 201px; height: 192px;\" /></p>\n\n<p>The longest V-shaped diagonal segment has a length of 5 and follows these coordinates: <code>(0,2) &rarr; (1,3) &rarr; (2,4)</code>, takes a <strong>90-degree clockwise turn</strong> at <code>(2,4)</code>, and continues as <code>(3,3) &rarr; (4,2)</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\">grid = [[2,2,2,2,2],[2,0,2,2,0],[2,0,1,1,0],[1,0,2,2,2],[2,0,0,2,2]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">4</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p><strong><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/12/09/matrix_2.jpg\" style=\"width: 201px; height: 201px;\" /></strong></p>\n\n<p>The longest V-shaped diagonal segment has a length of 4 and follows these coordinates: <code>(2,3) &rarr; (3,2)</code>, takes a <strong>90-degree clockwise turn</strong> at <code>(3,2)</code>, and continues as <code>(2,1) &rarr; (1,0)</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\">grid = [[1,2,2,2,2],[2,2,2,2,0],[2,0,0,0,0],[0,0,2,2,2],[2,0,0,2,0]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">5</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p><strong><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/12/09/matrix_3.jpg\" style=\"width: 201px; height: 201px;\" /></strong></p>\n\n<p>The longest V-shaped diagonal segment has a length of 5 and follows these coordinates: <code>(0,0) &rarr; (1,1) &rarr; (2,2) &rarr; (3,3) &rarr; (4,4)</code>.</p>\n</div>\n\n<p><strong class=\"example\">Example 4:</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>The longest V-shaped diagonal segment has a length of 1 and follows these coordinates: <code>(0,0)</code>.</p>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>n == grid.length</code></li>\n\t<li><code>m == grid[i].length</code></li>\n\t<li><code>1 &lt;= n, m &lt;= 500</code></li>\n\t<li><code>grid[i][j]</code> is either <code>0</code>, <code>1</code> or <code>2</code>.</li>\n</ul>\n",
"translatedTitle": "最长 V 形对角线段的长度",
"translatedContent": "<p>给你一个大小为 <code>n x m</code> 的二维整数矩阵 <code>grid</code>,其中每个元素的值为 <code>0</code>、<code>1</code> 或 <code>2</code>。</p>\n\n<p><strong>V 形对角线段</strong> 定义如下:</p>\n\n<ul>\n\t<li>线段从&nbsp;<code>1</code> 开始。</li>\n\t<li>后续元素按照以下无限序列的模式排列:<code>2, 0, 2, 0, ...</code>。</li>\n\t<li>该线段:\n\t<ul>\n\t\t<li>起始于某个对角方向(左上到右下、右下到左上、右上到左下或左下到右上)。</li>\n\t\t<li>沿着相同的对角方向继续,保持&nbsp;<strong>序列模式&nbsp;</strong>。</li>\n\t\t<li>在保持&nbsp;<strong>序列模式&nbsp;</strong>的前提下,最多允许&nbsp;<strong>一次顺时针 90 度转向&nbsp;</strong>另一个对角方向。</li>\n\t</ul>\n\t</li>\n</ul>\n\n<p><img alt=\"\" src=\"https://pic.leetcode.cn/1739609732-jHpPma-length_of_longest3.jpg\" style=\"width: 481px; height: 202px;\" /></p>\n\n<p>返回最长的&nbsp;<strong>V 形对角线段&nbsp;</strong>的&nbsp;<strong>长度&nbsp;</strong>。如果不存在有效的线段,则返回 0。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入:</strong> <span class=\"example-io\">grid = [[2,2,1,2,2],[2,0,2,2,0],[2,0,1,1,0],[1,0,2,2,2],[2,0,0,2,2]]</span></p>\n\n<p><strong>输出:</strong> <span class=\"example-io\">5</span></p>\n\n<p><strong>解释:</strong></p>\n\n<p><img alt=\"\" src=\"https://pic.leetcode.cn/1739609768-rhePxN-matrix_1-2.jpg\" style=\"width: 201px; height: 192px;\" /></p>\n\n<p>最长的 V 形对角线段长度为 5路径如下<code>(0,2) → (1,3) → (2,4)</code>,在 <code>(2,4)</code> 处进行&nbsp;<strong>顺时针 90 度转向&nbsp;</strong>,继续路径为 <code>(3,3) → (4,2)</code>。</p>\n</div>\n\n<p><strong>示例 2</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入:</strong> <span class=\"example-io\">grid = [[2,2,2,2,2],[2,0,2,2,0],[2,0,1,1,0],[1,0,2,2,2],[2,0,0,2,2]]</span></p>\n\n<p><strong>输出:</strong> <span class=\"example-io\">4</span></p>\n\n<p><strong>解释:</strong></p>\n\n<p><img alt=\"\" src=\"https://pic.leetcode.cn/1739609774-nYJElV-matrix_2.jpg\" style=\"width: 201px; height: 201px;\" /></p>\n\n<p>最长的 V 形对角线段长度为 4路径如下<code>(2,3) → (3,2)</code>,在 <code>(3,2)</code> 处进行&nbsp;<strong>顺时针 90 度转向&nbsp;</strong>,继续路径为 <code>(2,1) → (1,0)</code>。</p>\n</div>\n\n<p><strong>示例 3</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入:</strong> <span class=\"example-io\">grid = [[1,2,2,2,2],[2,2,2,2,0],[2,0,0,0,0],[0,0,2,2,2],[2,0,0,2,0]]</span></p>\n\n<p><strong>输出:</strong> <span class=\"example-io\">5</span></p>\n\n<p><strong>解释:</strong></p>\n\n<p><img alt=\"\" src=\"https://pic.leetcode.cn/1739609780-tlkdUW-matrix_3.jpg\" style=\"width: 201px; height: 201px;\" /></p>\n\n<p>最长的 V 形对角线段长度为 5路径如下<code>(0,0) → (1,1) → (2,2) → (3,3) → (4,4)</code>。</p>\n</div>\n\n<p><strong>示例 4</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>最长的 V 形对角线段长度为 1路径如下<code>(0,0)</code>。</p>\n</div>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>n == grid.length</code></li>\n\t<li><code>m == grid[i].length</code></li>\n\t<li><code>1 &lt;= n, m &lt;= 500</code></li>\n\t<li><code>grid[i][j]</code> 的值为 <code>0</code>、<code>1</code> 或 <code>2</code>。</li>\n</ul>\n",
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