mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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199 lines
18 KiB
JSON
199 lines
18 KiB
JSON
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"questionId": "2280",
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"questionFrontendId": "2179",
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"title": "Count Good Triplets in an Array",
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"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 <= x, y, z <= n - 1</code>, such that <code>pos1<sub>x</sub> < pos1<sub>y</sub> < pos1<sub>z</sub></code> and <code>pos2<sub>x</sub> < pos2<sub>y</sub> < pos2<sub>z</sub></code>.</p>\n\n<p>Return <em>the <strong>total number</strong> of good triplets</em>.</p>\n\n<p> </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> < pos1<sub>y</sub> < 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> < pos2<sub>y</sub> < 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> </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 <= n <= 10<sup>5</sup></code></li>\n\t<li><code>0 <= nums1[i], nums2[i] <= 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",
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"exampleTestcases": "[2,0,1,3]\n[0,1,2,3]\n[4,0,1,3,2]\n[4,1,0,2,3]",
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"categoryTitle": "Algorithms",
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"code": "# @param {Integer[]} nums1\n# @param {Integer[]} nums2\n# @return {Integer}\ndef good_triplets(nums1, nums2)\n \nend",
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"code": "impl Solution {\n pub fn good_triplets(nums1: Vec<i32>, nums2: Vec<i32>) -> i64 {\n \n }\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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"Similarly, for every value y, try finding the number of values z (0 ≤ y, z ≤ n - 1) such that z appears after 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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