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"question": {
"questionId": "3885",
"questionFrontendId": "3583",
"categoryTitle": "Algorithms",
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"title": "Count Special Triplets",
"titleSlug": "count-special-triplets",
"content": "<p>You are given an integer array <code>nums</code>.</p>\n\n<p>A <strong>special triplet</strong> is defined as a triplet of indices <code>(i, j, k)</code> such that:</p>\n\n<ul>\n\t<li><code>0 &lt;= i &lt; j &lt; k &lt; n</code>, where <code>n = nums.length</code></li>\n\t<li><code>nums[i] == nums[j] * 2</code></li>\n\t<li><code>nums[k] == nums[j] * 2</code></li>\n</ul>\n\n<p>Return the total number of <strong>special triplets</strong> in the array.</p>\n\n<p>Since the answer may be large, return it <strong>modulo</strong> <code>10<sup>9</sup> + 7</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">nums = [6,3,6]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">1</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>The only special triplet is <code>(i, j, k) = (0, 1, 2)</code>, where:</p>\n\n<ul>\n\t<li><code>nums[0] = 6</code>, <code>nums[1] = 3</code>, <code>nums[2] = 6</code></li>\n\t<li><code>nums[0] = nums[1] * 2 = 3 * 2 = 6</code></li>\n\t<li><code>nums[2] = nums[1] * 2 = 3 * 2 = 6</code></li>\n</ul>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">nums = [0,1,0,0]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">1</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>The only special triplet is <code>(i, j, k) = (0, 2, 3)</code>, where:</p>\n\n<ul>\n\t<li><code>nums[0] = 0</code>, <code>nums[2] = 0</code>, <code>nums[3] = 0</code></li>\n\t<li><code>nums[0] = nums[2] * 2 = 0 * 2 = 0</code></li>\n\t<li><code>nums[3] = nums[2] * 2 = 0 * 2 = 0</code></li>\n</ul>\n</div>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">nums = [8,4,2,8,4]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">2</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>There are exactly two special triplets:</p>\n\n<ul>\n\t<li><code>(i, j, k) = (0, 1, 3)</code>\n\n\t<ul>\n\t\t<li><code>nums[0] = 8</code>, <code>nums[1] = 4</code>, <code>nums[3] = 8</code></li>\n\t\t<li><code>nums[0] = nums[1] * 2 = 4 * 2 = 8</code></li>\n\t\t<li><code>nums[3] = nums[1] * 2 = 4 * 2 = 8</code></li>\n\t</ul>\n\t</li>\n\t<li><code>(i, j, k) = (1, 2, 4)</code>\n\t<ul>\n\t\t<li><code>nums[1] = 4</code>, <code>nums[2] = 2</code>, <code>nums[4] = 4</code></li>\n\t\t<li><code>nums[1] = nums[2] * 2 = 2 * 2 = 4</code></li>\n\t\t<li><code>nums[4] = nums[2] * 2 = 2 * 2 = 4</code></li>\n\t</ul>\n\t</li>\n</ul>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>3 &lt;= n == nums.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>0 &lt;= nums[i] &lt;= 10<sup>5</sup></code></li>\n</ul>\n",
"translatedTitle": "统计特殊三元组",
"translatedContent": "<p>给你一个整数数组 <code>nums</code>。</p>\n\n<p><strong>特殊三元组 </strong>定义为满足以下条件的下标三元组 <code>(i, j, k)</code></p>\n\n<ul>\n\t<li><code>0 &lt;= i &lt; j &lt; k &lt; n</code>,其中 <code>n = nums.length</code></li>\n\t<li><code>nums[i] == nums[j] * 2</code></li>\n\t<li><code>nums[k] == nums[j] * 2</code></li>\n</ul>\n\n<p>返回数组中&nbsp;<strong>特殊三元组&nbsp;</strong>的总数。</p>\n\n<p>由于答案可能非常大,请返回结果对 <code>10<sup>9</sup> + 7</code> 取余数后的值。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入:</strong> <span class=\"example-io\">nums = [6,3,6]</span></p>\n\n<p><strong>输出:</strong> <span class=\"example-io\">1</span></p>\n\n<p><strong>解释:</strong></p>\n\n<p>唯一的特殊三元组是 <code>(i, j, k) = (0, 1, 2)</code>,其中:</p>\n\n<ul>\n\t<li><code>nums[0] = 6</code>, <code>nums[1] = 3</code>, <code>nums[2] = 6</code></li>\n\t<li><code>nums[0] = nums[1] * 2 = 3 * 2 = 6</code></li>\n\t<li><code>nums[2] = nums[1] * 2 = 3 * 2 = 6</code></li>\n</ul>\n</div>\n\n<p><strong class=\"example\">示例 2</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入:</strong> <span class=\"example-io\">nums = [0,1,0,0]</span></p>\n\n<p><strong>输出:</strong> <span class=\"example-io\">1</span></p>\n\n<p><strong>解释:</strong></p>\n\n<p>唯一的特殊三元组是 <code>(i, j, k) = (0, 2, 3)</code>,其中:</p>\n\n<ul>\n\t<li><code>nums[0] = 0</code>, <code>nums[2] = 0</code>, <code>nums[3] = 0</code></li>\n\t<li><code>nums[0] = nums[2] * 2 = 0 * 2 = 0</code></li>\n\t<li><code>nums[3] = nums[2] * 2 = 0 * 2 = 0</code></li>\n</ul>\n</div>\n\n<p><strong class=\"example\">示例 3</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入:</strong> <span class=\"example-io\">nums = [8,4,2,8,4]</span></p>\n\n<p><strong>输出:</strong> <span class=\"example-io\">2</span></p>\n\n<p><strong>解释:</strong></p>\n\n<p>共有两个特殊三元组:</p>\n\n<ul>\n\t<li><code>(i, j, k) = (0, 1, 3)</code>\n\n\t<ul>\n\t\t<li><code>nums[0] = 8</code>, <code>nums[1] = 4</code>, <code>nums[3] = 8</code></li>\n\t\t<li><code>nums[0] = nums[1] * 2 = 4 * 2 = 8</code></li>\n\t\t<li><code>nums[3] = nums[1] * 2 = 4 * 2 = 8</code></li>\n\t</ul>\n\t</li>\n\t<li><code>(i, j, k) = (1, 2, 4)</code>\n\t<ul>\n\t\t<li><code>nums[1] = 4</code>, <code>nums[2] = 2</code>, <code>nums[4] = 4</code></li>\n\t\t<li><code>nums[1] = nums[2] * 2 = 2 * 2 = 4</code></li>\n\t\t<li><code>nums[4] = nums[2] * 2 = 2 * 2 = 4</code></li>\n\t</ul>\n\t</li>\n</ul>\n</div>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>3 &lt;= n == nums.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>0 &lt;= nums[i] &lt;= 10<sup>5</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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