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{
"data": {
"question": {
"questionId": "3819",
"questionFrontendId": "3531",
"categoryTitle": "Algorithms",
"boundTopicId": 3662482,
"title": "Count Covered Buildings",
"titleSlug": "count-covered-buildings",
"content": "<p>You are given a positive integer <code>n</code>, representing an <code>n x n</code> city. You are also given a 2D grid <code>buildings</code>, where <code>buildings[i] = [x, y]</code> denotes a <strong>unique</strong> building located at coordinates <code>[x, y]</code>.</p>\n\n<p>A building is <strong>covered</strong> if there is at least one building in all <strong>four</strong> directions: left, right, above, and below.</p>\n\n<p>Return the number of <strong>covered</strong> buildings.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<p><img src=\"https://assets.leetcode.com/uploads/2025/03/04/telegram-cloud-photo-size-5-6212982906394101085-m.jpg\" style=\"width: 200px; height: 204px;\" /></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">n = 3, buildings = [[1,2],[2,2],[3,2],[2,1],[2,3]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">1</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<ul>\n\t<li>Only building <code>[2,2]</code> is covered as it has at least one building:\n\n\t<ul>\n\t\t<li>above (<code>[1,2]</code>)</li>\n\t\t<li>below (<code>[3,2]</code>)</li>\n\t\t<li>left (<code>[2,1]</code>)</li>\n\t\t<li>right (<code>[2,3]</code>)</li>\n\t</ul>\n\t</li>\n\t<li>Thus, the count of covered buildings is 1.</li>\n</ul>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<p><img src=\"https://assets.leetcode.com/uploads/2025/03/04/telegram-cloud-photo-size-5-6212982906394101086-m.jpg\" style=\"width: 200px; height: 204px;\" /></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">n = 3, buildings = [[1,1],[1,2],[2,1],[2,2]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">0</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<ul>\n\t<li>No building has at least one building in all four directions.</li>\n</ul>\n</div>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<p><img src=\"https://assets.leetcode.com/uploads/2025/03/16/telegram-cloud-photo-size-5-6248862251436067566-x.jpg\" style=\"width: 202px; height: 205px;\" /></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">n = 5, buildings = [[1,3],[3,2],[3,3],[3,5],[5,3]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">1</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<ul>\n\t<li>Only building <code>[3,3]</code> is covered as it has at least one building:\n\n\t<ul>\n\t\t<li>above (<code>[1,3]</code>)</li>\n\t\t<li>below (<code>[5,3]</code>)</li>\n\t\t<li>left (<code>[3,2]</code>)</li>\n\t\t<li>right (<code>[3,5]</code>)</li>\n\t</ul>\n\t</li>\n\t<li>Thus, the count of covered buildings is 1.</li>\n</ul>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= buildings.length &lt;= 10<sup>5</sup> </code></li>\n\t<li><code>buildings[i] = [x, y]</code></li>\n\t<li><code>1 &lt;= x, y &lt;= n</code></li>\n\t<li>All coordinates of <code>buildings</code> are <strong>unique</strong>.</li>\n</ul>\n",
"translatedTitle": "统计被覆盖的建筑",
"translatedContent": "<p>给你一个正整数 <code>n</code>,表示一个 <code>n x n</code> 的城市,同时给定一个二维数组 <code>buildings</code>,其中 <code>buildings[i] = [x, y]</code> 表示位于坐标 <code>[x, y]</code> 的一个&nbsp;<strong>唯一&nbsp;</strong>建筑。</p>\n\n<p>如果一个建筑在四个方向(左、右、上、下)中每个方向上都至少存在一个建筑,则称该建筑&nbsp;<strong>被覆盖&nbsp;</strong>。</p>\n\n<p>返回&nbsp;<strong>被覆盖&nbsp;</strong>的建筑数量。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1</strong></p>\n\n<p><img src=\"https://pic.leetcode.cn/1745660407-qtNUjI-telegram-cloud-photo-size-5-6212982906394101085-m.jpg\" style=\"width: 200px; height: 204px;\" /></p>\n\n<div class=\"example-block\">\n<p><strong>输入:</strong> <span class=\"example-io\">n = 3, buildings = [[1,2],[2,2],[3,2],[2,1],[2,3]]</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<ul>\n\t<li>只有建筑 <code>[2,2]</code> 被覆盖,因为它在每个方向上都至少存在一个建筑:\n\n\t<ul>\n\t\t<li>上方 (<code>[1,2]</code>)</li>\n\t\t<li>下方 (<code>[3,2]</code>)</li>\n\t\t<li>左方 (<code>[2,1]</code>)</li>\n\t\t<li>右方 (<code>[2,3]</code>)</li>\n\t</ul>\n\t</li>\n\t<li>因此,被覆盖的建筑数量是 1。</li>\n</ul>\n</div>\n\n<p><strong class=\"example\">示例 2</strong></p>\n\n<p><img src=\"https://pic.leetcode.cn/1745660407-tUMUKl-telegram-cloud-photo-size-5-6212982906394101086-m.jpg\" style=\"width: 200px; height: 204px;\" /></p>\n\n<div class=\"example-block\">\n<p><strong>输入:</strong> <span class=\"example-io\">n = 3, buildings = [[1,1],[1,2],[2,1],[2,2]]</span></p>\n\n<p><strong>输出:</strong> <span class=\"example-io\">0</span></p>\n\n<p><strong>解释:</strong></p>\n\n<ul>\n\t<li>没有任何一个建筑在每个方向上都有至少一个建筑。</li>\n</ul>\n</div>\n\n<p><strong class=\"example\">示例 3</strong></p>\n\n<p><img src=\"https://pic.leetcode.cn/1745660407-bQIwBX-telegram-cloud-photo-size-5-6248862251436067566-x.jpg\" style=\"width: 202px; height: 205px;\" /></p>\n\n<div class=\"example-block\">\n<p><strong>输入:</strong> <span class=\"example-io\">n = 5, buildings = [[1,3],[3,2],[3,3],[3,5],[5,3]]</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<ul>\n\t<li>只有建筑 <code>[3,3]</code> 被覆盖,因为它在每个方向上至少存在一个建筑:\n\n\t<ul>\n\t\t<li>上方 (<code>[1,3]</code>)</li>\n\t\t<li>下方 (<code>[5,3]</code>)</li>\n\t\t<li>左方 (<code>[3,2]</code>)</li>\n\t\t<li>右方 (<code>[3,5]</code>)</li>\n\t</ul>\n\t</li>\n\t<li>因此,被覆盖的建筑数量是 1。</li>\n</ul>\n</div>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= buildings.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>buildings[i] = [x, y]</code></li>\n\t<li><code>1 &lt;= x, y &lt;= n</code></li>\n\t<li><code>buildings</code> 中所有坐标均&nbsp;<strong>唯一&nbsp;</strong>。</li>\n</ul>\n",
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"Group buildings with the same x or y value together, and sort each group.",
"In each sorted list, the buildings that are not at the first or last positions are covered in that direction."
],
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