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"questionId": "1977",
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"categoryTitle": "Algorithms",
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"title": "Minimum Interval to Include Each Query",
"titleSlug": "minimum-interval-to-include-each-query",
"content": "<p>You are given a 2D integer array <code>intervals</code>, where <code>intervals[i] = [left<sub>i</sub>, right<sub>i</sub>]</code> describes the <code>i<sup>th</sup></code> interval starting at <code>left<sub>i</sub></code> and ending at <code>right<sub>i</sub></code> <strong>(inclusive)</strong>. The <strong>size</strong> of an interval is defined as the number of integers it contains, or more formally <code>right<sub>i</sub> - left<sub>i</sub> + 1</code>.</p>\n\n<p>You are also given an integer array <code>queries</code>. The answer to the <code>j<sup>th</sup></code> query is the <strong>size of the smallest interval</strong> <code>i</code> such that <code>left<sub>i</sub> &lt;= queries[j] &lt;= right<sub>i</sub></code>. If no such interval exists, the answer is <code>-1</code>.</p>\n\n<p>Return <em>an array containing the answers to the queries</em>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> intervals = [[1,4],[2,4],[3,6],[4,4]], queries = [2,3,4,5]\n<strong>Output:</strong> [3,3,1,4]\n<strong>Explanation:</strong> The queries are processed as follows:\n- Query = 2: The interval [2,4] is the smallest interval containing 2. The answer is 4 - 2 + 1 = 3.\n- Query = 3: The interval [2,4] is the smallest interval containing 3. The answer is 4 - 2 + 1 = 3.\n- Query = 4: The interval [4,4] is the smallest interval containing 4. The answer is 4 - 4 + 1 = 1.\n- Query = 5: The interval [3,6] is the smallest interval containing 5. The answer is 6 - 3 + 1 = 4.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> intervals = [[2,3],[2,5],[1,8],[20,25]], queries = [2,19,5,22]\n<strong>Output:</strong> [2,-1,4,6]\n<strong>Explanation:</strong> The queries are processed as follows:\n- Query = 2: The interval [2,3] is the smallest interval containing 2. The answer is 3 - 2 + 1 = 2.\n- Query = 19: None of the intervals contain 19. The answer is -1.\n- Query = 5: The interval [2,5] is the smallest interval containing 5. The answer is 5 - 2 + 1 = 4.\n- Query = 22: The interval [20,25] is the smallest interval containing 22. The answer is 25 - 20 + 1 = 6.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= intervals.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= queries.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>intervals[i].length == 2</code></li>\n\t<li><code>1 &lt;= left<sub>i</sub> &lt;= right<sub>i</sub> &lt;= 10<sup>7</sup></code></li>\n\t<li><code>1 &lt;= queries[j] &lt;= 10<sup>7</sup></code></li>\n</ul>\n",
"translatedTitle": "包含每个查询的最小区间",
"translatedContent": "<p>给你一个二维整数数组 <code>intervals</code> ,其中 <code>intervals[i] = [left<sub>i</sub>, right<sub>i</sub>]</code> 表示第 <code>i</code> 个区间开始于 <code>left<sub>i</sub></code> 、结束于 <code>right<sub>i</sub></code>(包含两侧取值,<strong>闭区间</strong>)。区间的 <strong>长度</strong> 定义为区间中包含的整数数目,更正式地表达是 <code>right<sub>i</sub> - left<sub>i</sub> + 1</code> 。</p>\n\n<p>再给你一个整数数组 <code>queries</code> 。第 <code>j</code> 个查询的答案是满足&nbsp;<code>left<sub>i</sub> &lt;= queries[j] &lt;= right<sub>i</sub></code> 的 <strong>长度最小区间 <code>i</code> 的长度</strong> 。如果不存在这样的区间,那么答案是 <code>-1</code> 。</p>\n\n<p>以数组形式返回对应查询的所有答案。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre>\n<strong>输入:</strong>intervals = [[1,4],[2,4],[3,6],[4,4]], queries = [2,3,4,5]\n<strong>输出:</strong>[3,3,1,4]\n<strong>解释:</strong>查询处理如下:\n- Query = 2 :区间 [2,4] 是包含 2 的最小区间,答案为 4 - 2 + 1 = 3 。\n- Query = 3 :区间 [2,4] 是包含 3 的最小区间,答案为 4 - 2 + 1 = 3 。\n- Query = 4 :区间 [4,4] 是包含 4 的最小区间,答案为 4 - 4 + 1 = 1 。\n- Query = 5 :区间 [3,6] 是包含 5 的最小区间,答案为 6 - 3 + 1 = 4 。\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre>\n<strong>输入:</strong>intervals = [[2,3],[2,5],[1,8],[20,25]], queries = [2,19,5,22]\n<strong>输出:</strong>[2,-1,4,6]\n<strong>解释:</strong>查询处理如下:\n- Query = 2 :区间 [2,3] 是包含 2 的最小区间,答案为 3 - 2 + 1 = 2 。\n- Query = 19不存在包含 19 的区间,答案为 -1 。\n- Query = 5 :区间 [2,5] 是包含 5 的最小区间,答案为 5 - 2 + 1 = 4 。\n- Query = 22区间 [20,25] 是包含 22 的最小区间,答案为 25 - 20 + 1 = 6 。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= intervals.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= queries.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>intervals[i].length == 2</code></li>\n\t<li><code>1 &lt;= left<sub>i</sub> &lt;= right<sub>i</sub> &lt;= 10<sup>7</sup></code></li>\n\t<li><code>1 &lt;= queries[j] &lt;= 10<sup>7</sup></code></li>\n</ul>\n",
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href=\\\"https:\\/\\/pkg.go.dev\\/github.com\\/emirpasic\\/gods@v1.18.1\\\" target=\\\"_blank\\\">https:\\/\\/pkg.go.dev\\/github.com\\/emirpasic\\/gods@v1.18.1<\\/a> \\u548c <a href=\\\"https:\\/\\/pkg.go.dev\\/github.com\\/emirpasic\\/gods\\/v2@v2.0.0-alpha\\\" target=\\\"_blank\\\">https:\\/\\/pkg.go.dev\\/github.com\\/emirpasic\\/gods\\/v2@v2.0.0-alpha<\\/a> \\u7b2c\\u4e09\\u65b9\\u5e93\\u3002<\\/p>\"],\"python3\":[\"Python3\",\"<p>\\u7248\\u672c\\uff1a<code>Python 3.11<\\/code><\\/p>\\r\\n\\r\\n<p>\\u4e3a\\u4e86\\u65b9\\u4fbf\\u8d77\\u89c1\\uff0c\\u5927\\u90e8\\u5206\\u5e38\\u7528\\u5e93\\u5df2\\u7ecf\\u88ab\\u81ea\\u52a8 \\u5bfc\\u5165\\uff0c\\u5982<a href=\\\"https:\\/\\/docs.python.org\\/3\\/library\\/array.html\\\" target=\\\"_blank\\\">array<\\/a>, <a href=\\\"https:\\/\\/docs.python.org\\/3\\/library\\/bisect.html\\\" target=\\\"_blank\\\">bisect<\\/a>, <a href=\\\"https:\\/\\/docs.python.org\\/3\\/library\\/collections.html\\\" target=\\\"_blank\\\">collections<\\/a>\\u3002 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target=\\\"_blank\\\">itertools<\\/a><\\/p>\"],\"php\":[\"PHP\",\"<p><code>PHP 8.2<\\/code>.<\\/p>\\r\\n\\r\\n<p>With bcmath module.<\\/p>\"],\"typescript\":[\"TypeScript\",\"<p>TypeScript 5.7.3<\\/p>\\r\\n\\r\\n<p>Compile Options: --alwaysStrict --strictBindCallApply --strictFunctionTypes --target ES2024<\\/p>\\r\\n\\r\\n<p><a href=\\\"https:\\/\\/lodash.com\\\" target=\\\"_blank\\\">lodash.js<\\/a> \\u5e93\\u5df2\\u7ecf\\u9ed8\\u8ba4\\u88ab\\u5305\\u542b\\u3002<\\/p>\\r\\n\\r\\n<p> \\u60a8\\u53ef\\u4f7f\\u7528 <a href=\\\"https:\\/\\/datastructures-js.info\\/docs\\\" target=\\\"_blank\\\"> datastructures-js <\\/a>\\u5e93\\u6240\\u63d0\\u4f9b\\u7684\\u6570\\u636e\\u7ed3\\u6784\\u3002<\\/p>\"],\"racket\":[\"Racket\",\"<p><a href=\\\"https:\\/\\/docs.racket-lang.org\\/guide\\/performance.html#%28tech._c%29\\\" target=\\\"_blank\\\">Racket CS<\\/a> v8.15<\\/p>\\r\\n\\r\\n<p>\\u4f7f\\u7528 #lang racket<\\/p>\\r\\n\\r\\n<p>\\u5df2\\u9884\\u5148 (require data\\/gvector data\\/queue 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target=\\\"_blank\\\">\\u300c\\u4ed3\\u9889\\u7f16\\u7a0b\\u8bed\\u8a00\\u5f00\\u53d1\\u6307\\u5357\\u300d<\\/a><\\/p>\"]}",
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