leetcode-problemset/leetcode-cn/originData/block-placement-queries.json

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        "question": {
            "questionId": "3435",
            "questionFrontendId": "3161",
            "categoryTitle": "Algorithms",
            "boundTopicId": 2790205,
            "title": "Block Placement Queries",
            "titleSlug": "block-placement-queries",
            "content": "<p>There exists an infinite number line, with its origin at 0 and extending towards the <strong>positive</strong> x-axis.</p>\n\n<p>You are given a 2D array <code>queries</code>, which contains two types of queries:</p>\n\n<ol>\n\t<li>For a query of type 1, <code>queries[i] = [1, x]</code>. Build an obstacle at distance <code>x</code> from the origin. It is guaranteed that there is <strong>no</strong> obstacle at distance <code>x</code> when the query is asked.</li>\n\t<li>For a query of type 2, <code>queries[i] = [2, x, sz]</code>. Check if it is possible to place a block of size <code>sz</code> <em>anywhere</em> in the range <code>[0, x]</code> on the line, such that the block <strong>entirely</strong> lies in the range <code>[0, x]</code>. A block <strong>cannot </strong>be placed if it intersects with any obstacle, but it may touch it. Note that you do<strong> not</strong> actually place the block. Queries are separate.</li>\n</ol>\n\n<p>Return a boolean array <code>results</code>, where <code>results[i]</code> is <code>true</code> if you can place the block specified in the <code>i<sup>th</sup></code> query of type 2, and <code>false</code> otherwise.</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\">queries = [[1,2],[2,3,3],[2,3,1],[2,2,2]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">[false,true,true]</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p><strong><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/04/22/example0block.png\" style=\"padding: 10px; background: rgb(255, 255, 255); border-radius: 0.5rem; width: 309px; height: 129px;\" /></strong></p>\n\n<p>For query 0, place an obstacle at <code>x = 2</code>. A block of size at most 2 can be placed before <code>x = 3</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\">queries = </span>[[1,7],[2,7,6],[1,2],[2,7,5],[2,7,6]]<!-- notionvc: 4a471445-5af1-4d72-b11b-94d351a2c8e9 --></p>\n\n<p><strong>Output:</strong> [true,true,false]</p>\n\n<p><strong>Explanation:</strong></p>\n\n<p><strong><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/04/22/example1block.png\" style=\"padding: 10px; background: rgb(255, 255, 255); border-radius: 0.5rem; width: 310px; height: 130px;\" /></strong></p>\n\n<ul>\n\t<li>Place an obstacle at <code>x = 7</code> for query 0. A block of size at most 7 can be placed before <code>x = 7</code>.</li>\n\t<li>Place an obstacle at <code>x = 2</code> for query 2. Now, a block of size at most 5 can be placed before <code>x = 7</code>, and a block of size at most 2 before <code>x = 2</code>.</li>\n</ul>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= queries.length &lt;= 15 * 10<sup>4</sup></code></li>\n\t<li><code>2 &lt;= queries[i].length &lt;= 3</code></li>\n\t<li><code>1 &lt;= queries[i][0] &lt;= 2</code></li>\n\t<li><code>1 &lt;= x, sz &lt;= min(5 * 10<sup>4</sup>, 3 * queries.length)</code></li>\n\t<li>The input is generated such that for queries of type 1, no obstacle exists at distance <code>x</code> when the query is asked.</li>\n\t<li>The input is generated such that there is at least one query of type 2.</li>\n</ul>\n",
            "translatedTitle": "物块放置查询",
            "translatedContent": "<p>有一条无限长的数轴，原点在 0 处，沿着 x 轴 <strong>正</strong>&nbsp;方向无限延伸。</p>\n\n<p>给你一个二维数组&nbsp;<code>queries</code>&nbsp;，它包含两种操作：</p>\n\n<ol>\n\t<li>操作类型 1 ：<code>queries[i] = [1, x]</code>&nbsp;。在距离原点 <code>x</code>&nbsp;处建一个障碍物。数据保证当操作执行的时候，位置 <code>x</code>&nbsp;处 <strong>没有</strong>&nbsp;任何障碍物。</li>\n\t<li>操作类型 2 ：<code>queries[i] = [2, x, sz]</code>&nbsp;。判断在数轴范围&nbsp;<code>[0, x]</code>&nbsp;内是否可以放置一个长度为&nbsp;<code>sz</code>&nbsp;的物块，这个物块需要&nbsp;<strong>完全</strong>&nbsp;放置在范围&nbsp;<code>[0, x]</code>&nbsp;内。如果物块与任何障碍物有重合，那么这个物块&nbsp;<strong>不能</strong>&nbsp;被放置，但物块可以与障碍物刚好接触。注意，你只是进行查询，并&nbsp;<strong>不是</strong>&nbsp;真的放置这个物块。每个查询都是相互独立的。</li>\n</ol>\n\n<p>请你返回一个 boolean 数组<code>results</code>&nbsp;，如果第&nbsp;<code>i</code> 个操作类型 2 的操作你可以放置物块，那么&nbsp;<code>results[i]</code>&nbsp;为&nbsp;<code>true</code>&nbsp;，否则为 <code>false</code>&nbsp;。</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>queries = [[1,2],[2,3,3],[2,3,1],[2,2,2]]</span></p>\n\n<p><span class=\"example-io\"><b>输出：</b>[false,true,true]</span></p>\n\n<p><strong>解释：</strong></p>\n\n<p><strong><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/04/22/example0block.png\" style=\"padding: 10px; background: rgb(255, 255, 255); border-radius: 0.5rem; width: 309px; height: 129px;\" /></strong></p>\n\n<p>查询 0 ，在&nbsp;<code>x = 2</code>&nbsp;处放置一个障碍物。在&nbsp;<code>x = 3</code>&nbsp;之前任何大小不超过 2 的物块都可以被放置。</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>queries = </span>[[1,7],[2,7,6],[1,2],[2,7,5],[2,7,6]]<!-- notionvc: 4a471445-5af1-4d72-b11b-94d351a2c8e9 --></p>\n\n<p><b>输出：</b>[true,true,false]</p>\n\n<p><strong>解释：</strong></p>\n\n<p><strong><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/04/22/example1block.png\" style=\"padding: 10px; background: rgb(255, 255, 255); border-radius: 0.5rem; width: 310px; height: 130px;\" /></strong></p>\n\n<ul>\n\t<li>查询 0 在&nbsp;<code>x = 7</code>&nbsp;处放置一个障碍物。在&nbsp;<code>x = 7</code>&nbsp;之前任何大小不超过 7 的物块都可以被放置。</li>\n\t<li>查询 2 在&nbsp;<code>x = 2</code>&nbsp;处放置一个障碍物。现在，在&nbsp;<code>x = 7</code>&nbsp;之前任何大小不超过 5 的物块可以被放置，<code>x = 2</code>&nbsp;之前任何大小不超过 2 的物块可以被放置。</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>1 &lt;= queries.length &lt;= 15 * 10<sup>4</sup></code></li>\n\t<li><code>2 &lt;= queries[i].length &lt;= 3</code></li>\n\t<li><code>1 &lt;= queries[i][0] &lt;= 2</code></li>\n\t<li><code>1 &lt;= x, sz &lt;= min(5 * 10<sup>4</sup>, 3 * queries.length)</code></li>\n\t<li>输入保证操作 1 中，<code>x</code>&nbsp;处不会有障碍物。</li>\n\t<li>输入保证至少有一个操作类型 2 。</li>\n</ul>\n",
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                "For each query of type 2, we just need to check if <code>max(d[0], d[1], d[2], …d[x - sz]) > sz</code>.",
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