leetcode-problemset/leetcode-cn/originData/count-special-triplets.json

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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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target=\\\"_blank\\\">sortedcontainers<\\/a> \\u5e93\\u3002<\\/p>\"],\"scala\":[\"Scala\",\"<p>\\u7248\\u672c\\uff1a<code>Scala 3.3.1<\\/code><\\/p>\"],\"kotlin\":[\"Kotlin\",\"<p>\\u7248\\u672c\\uff1a<code>Kotlin 2.1.10<\\/code><\\/p>\"],\"rust\":[\"Rust\",\"<p>\\u7248\\u672c\\uff1a<code>rust 1.85.0<\\/code><\\/p>\\r\\n\\r\\n<p>\\u652f\\u6301 crates.io \\u7684 <a href=\\\"https:\\/\\/crates.io\\/crates\\/rand\\\" target=\\\"_blank\\\">rand<\\/a>\\u3001<a href=\\\"https:\\/\\/crates.io\\/crates\\/regex\\\" target=\\\"_blank\\\">regex<\\/a> \\u548c <a href=\\\"https:\\/\\/crates.io\\/crates\\/itertools\\\" 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\\\" 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target=\\\"_blank\\\">\\u300c\\u4ed3\\u9889\\u7f16\\u7a0b\\u8bed\\u8a00\\u5f00\\u53d1\\u6307\\u5357\\u300d<\\/a><\\/p>\"]}",
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