leetcode-problemset/leetcode-cn/originData/count-good-triplets-in-an-array.json

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        "question": {
            "questionId": "2280",
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            "title": "Count Good Triplets in an Array",
            "titleSlug": "count-good-triplets-in-an-array",
            "content": "<p>You are given two <strong>0-indexed</strong> arrays <code>nums1</code> and <code>nums2</code> of length <code>n</code>, both of which are <strong>permutations</strong> of <code>[0, 1, ..., n - 1]</code>.</p>\n\n<p>A <strong>good triplet</strong> is a set of <code>3</code> <strong>distinct</strong> values which are present in <strong>increasing order</strong> by position both in <code>nums1</code> and <code>nums2</code>. In other words, if we consider <code>pos1<sub>v</sub></code> as the index of the value <code>v</code> in <code>nums1</code> and <code>pos2<sub>v</sub></code> as the index of the value <code>v</code> in <code>nums2</code>, then a good triplet will be a set <code>(x, y, z)</code> where <code>0 &lt;= x, y, z &lt;= n - 1</code>, such that <code>pos1<sub>x</sub> &lt; pos1<sub>y</sub> &lt; pos1<sub>z</sub></code> and <code>pos2<sub>x</sub> &lt; pos2<sub>y</sub> &lt; pos2<sub>z</sub></code>.</p>\n\n<p>Return <em>the <strong>total number</strong> of good triplets</em>.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums1 = [2,0,1,3], nums2 = [0,1,2,3]\n<strong>Output:</strong> 1\n<strong>Explanation:</strong> \nThere are 4 triplets (x,y,z) such that pos1<sub>x</sub> &lt; pos1<sub>y</sub> &lt; pos1<sub>z</sub>. They are (2,0,1), (2,0,3), (2,1,3), and (0,1,3). \nOut of those triplets, only the triplet (0,1,3) satisfies pos2<sub>x</sub> &lt; pos2<sub>y</sub> &lt; pos2<sub>z</sub>. Hence, there is only 1 good triplet.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums1 = [4,0,1,3,2], nums2 = [4,1,0,2,3]\n<strong>Output:</strong> 4\n<strong>Explanation:</strong> The 4 good triplets are (4,0,3), (4,0,2), (4,1,3), and (4,1,2).\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>n == nums1.length == nums2.length</code></li>\n\t<li><code>3 &lt;= n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>0 &lt;= nums1[i], nums2[i] &lt;= n - 1</code></li>\n\t<li><code>nums1</code> and <code>nums2</code> are permutations of <code>[0, 1, ..., n - 1]</code>.</li>\n</ul>\n",
            "translatedTitle": "统计数组中好三元组数目",
            "translatedContent": "<p>给你两个下标从 <strong>0</strong>&nbsp;开始且长度为 <code>n</code>&nbsp;的整数数组&nbsp;<code>nums1</code>&nbsp;和&nbsp;<code>nums2</code>&nbsp;，两者都是&nbsp;<code>[0, 1, ..., n - 1]</code>&nbsp;的&nbsp;<strong>排列</strong>&nbsp;。</p>\n\n<p><strong>好三元组&nbsp;</strong>指的是&nbsp;<code>3</code>&nbsp;个&nbsp;<strong>互不相同</strong>&nbsp;的值，且它们在数组&nbsp;<code>nums1</code> 和&nbsp;<code>nums2</code>&nbsp;中出现顺序保持一致。换句话说，如果我们将&nbsp;<code>pos1<sub>v</sub></code> 记为值&nbsp;<code>v</code>&nbsp;在&nbsp;<code>nums1</code>&nbsp;中出现的位置，<code>pos2<sub>v</sub></code>&nbsp;为值&nbsp;<code>v</code>&nbsp;在&nbsp;<code>nums2</code>&nbsp;中的位置，那么一个好三元组定义为&nbsp;<code>0 &lt;= x, y, z &lt;= n - 1</code>&nbsp;，且&nbsp;<code>pos1<sub>x</sub> &lt; pos1<sub>y</sub> &lt; pos1<sub>z</sub></code> 和&nbsp;<code>pos2<sub>x</sub> &lt; pos2<sub>y</sub> &lt; pos2<sub>z</sub></code>&nbsp;都成立的&nbsp;<code>(x, y, z)</code>&nbsp;。</p>\n\n<p>请你返回好三元组的 <strong>总数目</strong>&nbsp;。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre><b>输入：</b>nums1 = [2,0,1,3], nums2 = [0,1,2,3]\n<b>输出：</b>1\n<b>解释：</b>\n总共有 4 个三元组 (x,y,z) 满足 pos1<sub>x</sub> &lt; pos1<sub>y</sub> &lt; pos1<sub>z&nbsp;</sub>，分别是 (2,0,1) ，(2,0,3) ，(2,1,3) 和 (0,1,3) 。\n这些三元组中，只有 (0,1,3) 满足 pos2<sub>x</sub> &lt; pos2<sub>y</sub> &lt; pos2<sub>z</sub>&nbsp;。所以只有 1 个好三元组。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre><b>输入：</b>nums1 = [4,0,1,3,2], nums2 = [4,1,0,2,3]\n<b>输出：</b>4\n<b>解释：</b>总共有 4 个好三元组 (4,0,3) ，(4,0,2) ，(4,1,3) 和 (4,1,2) 。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>n == nums1.length == nums2.length</code></li>\n\t<li><code>3 &lt;= n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>0 &lt;= nums1[i], nums2[i] &lt;= n - 1</code></li>\n\t<li><code>nums1</code>&nbsp;和&nbsp;<code>nums2</code>&nbsp;是&nbsp;<code>[0, 1, ..., n - 1]</code> 的排列。</li>\n</ul>\n",
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                "For every value y, how can you find the number of values x  (0 ≤ x, y ≤ n - 1) such that x appears before y in both of the arrays?",
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                "Now, for every value y, count the number of good triplets that can be formed if y is considered as the middle element."
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