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{
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"question": {
"questionId": "2566",
"questionFrontendId": "2475",
"categoryTitle": "Algorithms",
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"title": "Number of Unequal Triplets in Array",
"titleSlug": "number-of-unequal-triplets-in-array",
"content": "<p>You are given a <strong>0-indexed</strong> array of positive integers <code>nums</code>. Find the number of triplets <code>(i, j, k)</code> that meet the following conditions:</p>\n\n<ul>\n\t<li><code>0 &lt;= i &lt; j &lt; k &lt; nums.length</code></li>\n\t<li><code>nums[i]</code>, <code>nums[j]</code>, and <code>nums[k]</code> are <strong>pairwise distinct</strong>.\n\t<ul>\n\t\t<li>In other words, <code>nums[i] != nums[j]</code>, <code>nums[i] != nums[k]</code>, and <code>nums[j] != nums[k]</code>.</li>\n\t</ul>\n\t</li>\n</ul>\n\n<p>Return <em>the number of triplets that meet the conditions.</em></p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [4,4,2,4,3]\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> The following triplets meet the conditions:\n- (0, 2, 4) because 4 != 2 != 3\n- (1, 2, 4) because 4 != 2 != 3\n- (2, 3, 4) because 2 != 4 != 3\nSince there are 3 triplets, we return 3.\nNote that (2, 0, 4) is not a valid triplet because 2 &gt; 0.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,1,1,1,1]\n<strong>Output:</strong> 0\n<strong>Explanation:</strong> No triplets meet the conditions so we return 0.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>3 &lt;= nums.length &lt;= 100</code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 1000</code></li>\n</ul>\n",
"translatedTitle": "数组中不等三元组的数目",
"translatedContent": "<p>给你一个下标从 <strong>0</strong> 开始的正整数数组 <code>nums</code> 。请你找出并统计满足下述条件的三元组 <code>(i, j, k)</code> 的数目:</p>\n\n<ul>\n\t<li><code>0 &lt;= i &lt; j &lt; k &lt; nums.length</code></li>\n\t<li><code>nums[i]</code>、<code>nums[j]</code> 和 <code>nums[k]</code> <strong>两两不同</strong> 。\n\t<ul>\n\t\t<li>换句话说:<code>nums[i] != nums[j]</code>、<code>nums[i] != nums[k]</code> 且 <code>nums[j] != nums[k]</code> 。</li>\n\t</ul>\n\t</li>\n</ul>\n\n<p>返回满足上述条件三元组的数目<em>。</em></p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre>\n<strong>输入:</strong>nums = [4,4,2,4,3]\n<strong>输出:</strong>3\n<strong>解释:</strong>下面列出的三元组均满足题目条件:\n- (0, 2, 4) 因为 4 != 2 != 3\n- (1, 2, 4) 因为 4 != 2 != 3\n- (2, 3, 4) 因为 2 != 4 != 3\n共计 3 个三元组,返回 3 。\n注意 (2, 0, 4) 不是有效的三元组,因为 2 &gt; 0 。\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre>\n<strong>输入:</strong>nums = [1,1,1,1,1]\n<strong>输出:</strong>0\n<strong>解释:</strong>不存在满足条件的三元组,所以返回 0 。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>3 &lt;= nums.length &lt;= 100</code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 1000</code></li>\n</ul>\n",
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"hints": [
"The constraints are very small. Can we try every triplet?",
"Yes, we can. Use three loops to iterate through all the possible triplets, ensuring the condition i < j < k holds."
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