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"questionId": "1028",
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"categoryTitle": "Algorithms",
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"title": "Interval List Intersections",
"titleSlug": "interval-list-intersections",
"content": "<p>You are given two lists of closed intervals, <code>firstList</code> and <code>secondList</code>, where <code>firstList[i] = [start<sub>i</sub>, end<sub>i</sub>]</code> and <code>secondList[j] = [start<sub>j</sub>, end<sub>j</sub>]</code>. Each list of intervals is pairwise <strong>disjoint</strong> and in <strong>sorted order</strong>.</p>\n\n<p>Return <em>the intersection of these two interval lists</em>.</p>\n\n<p>A <strong>closed interval</strong> <code>[a, b]</code> (with <code>a &lt;= b</code>) denotes the set of real numbers <code>x</code> with <code>a &lt;= x &lt;= b</code>.</p>\n\n<p>The <strong>intersection</strong> of two closed intervals is a set of real numbers that are either empty or represented as a closed interval. For example, the intersection of <code>[1, 3]</code> and <code>[2, 4]</code> is <code>[2, 3]</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2019/01/30/interval1.png\" style=\"width: 700px; height: 194px;\" />\n<pre>\n<strong>Input:</strong> firstList = [[0,2],[5,10],[13,23],[24,25]], secondList = [[1,5],[8,12],[15,24],[25,26]]\n<strong>Output:</strong> [[1,2],[5,5],[8,10],[15,23],[24,24],[25,25]]\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> firstList = [[1,3],[5,9]], secondList = []\n<strong>Output:</strong> []\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>0 &lt;= firstList.length, secondList.length &lt;= 1000</code></li>\n\t<li><code>firstList.length + secondList.length &gt;= 1</code></li>\n\t<li><code>0 &lt;= start<sub>i</sub> &lt; end<sub>i</sub> &lt;= 10<sup>9</sup></code></li>\n\t<li><code>end<sub>i</sub> &lt; start<sub>i+1</sub></code></li>\n\t<li><code>0 &lt;= start<sub>j</sub> &lt; end<sub>j</sub> &lt;= 10<sup>9</sup> </code></li>\n\t<li><code>end<sub>j</sub> &lt; start<sub>j+1</sub></code></li>\n</ul>\n",
"translatedTitle": "区间列表的交集",
"translatedContent": "<p>给定两个由一些<strong> 闭区间 </strong>组成的列表,<code>firstList</code> 和 <code>secondList</code> ,其中 <code>firstList[i] = [start<sub>i</sub>, end<sub>i</sub>]</code> 而 <code>secondList[j] = [start<sub>j</sub>, end<sub>j</sub>]</code> 。每个区间列表都是成对 <strong>不相交</strong> 的,并且 <strong>已经排序</strong> 。</p>\n\n<p>返回这 <strong>两个区间列表的交集</strong> 。</p>\n\n<p>形式上,<strong>闭区间</strong> <code>[a, b]</code>(其中 <code>a <= b</code>)表示实数 <code>x</code> 的集合,而 <code>a <= x <= b</code> 。</p>\n\n<p>两个闭区间的 <strong>交集</strong> 是一组实数,要么为空集,要么为闭区间。例如,<code>[1, 3]</code> 和 <code>[2, 4]</code> 的交集为 <code>[2, 3]</code> 。</p>\n\n<p> </p>\n\n<p><strong>示例 1</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2019/01/30/interval1.png\" style=\"width: 700px; height: 194px;\" />\n<pre>\n<strong>输入:</strong>firstList = [[0,2],[5,10],[13,23],[24,25]], secondList = [[1,5],[8,12],[15,24],[25,26]]\n<strong>输出:</strong>[[1,2],[5,5],[8,10],[15,23],[24,24],[25,25]]\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre>\n<strong>输入:</strong>firstList = [[1,3],[5,9]], secondList = []\n<strong>输出:</strong>[]\n</pre>\n\n<p><strong>示例 3</strong></p>\n\n<pre>\n<strong>输入:</strong>firstList = [], secondList = [[4,8],[10,12]]\n<strong>输出:</strong>[]\n</pre>\n\n<p><strong>示例 4</strong></p>\n\n<pre>\n<strong>输入:</strong>firstList = [[1,7]], secondList = [[3,10]]\n<strong>输出:</strong>[[3,7]]\n</pre>\n\n<p> </p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>0 <= firstList.length, secondList.length <= 1000</code></li>\n\t<li><code>firstList.length + secondList.length >= 1</code></li>\n\t<li><code>0 <= start<sub>i</sub> < end<sub>i</sub> <= 10<sup>9</sup></code></li>\n\t<li><code>end<sub>i</sub> < start<sub>i+1</sub></code></li>\n\t<li><code>0 <= start<sub>j</sub> < end<sub>j</sub> <= 10<sup>9</sup> </code></li>\n\t<li><code>end<sub>j</sub> < start<sub>j+1</sub></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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