leetcode-problemset/leetcode-cn/originData/number-of-excellent-pairs.json

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            "title": "Number of Excellent Pairs",
            "titleSlug": "number-of-excellent-pairs",
            "content": "<p>You are given a <strong>0-indexed</strong> positive integer array <code>nums</code> and a positive integer <code>k</code>.</p>\n\n<p>A pair of numbers <code>(num1, num2)</code> is called <strong>excellent</strong> if the following conditions are satisfied:</p>\n\n<ul>\n\t<li><strong>Both</strong> the numbers <code>num1</code> and <code>num2</code> exist in the array <code>nums</code>.</li>\n\t<li>The sum of the number of set bits in <code>num1 OR num2</code> and <code>num1 AND num2</code> is greater than or equal to <code>k</code>, where <code>OR</code> is the bitwise <strong>OR</strong> operation and <code>AND</code> is the bitwise <strong>AND</strong> operation.</li>\n</ul>\n\n<p>Return <em>the number of <strong>distinct</strong> excellent pairs</em>.</p>\n\n<p>Two pairs <code>(a, b)</code> and <code>(c, d)</code> are considered distinct if either <code>a != c</code> or <code>b != d</code>. For example, <code>(1, 2)</code> and <code>(2, 1)</code> are distinct.</p>\n\n<p><strong>Note</strong> that a pair <code>(num1, num2)</code> such that <code>num1 == num2</code> can also be excellent if you have at least <strong>one</strong> occurrence of <code>num1</code> in the array.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,2,3,1], k = 3\n<strong>Output:</strong> 5\n<strong>Explanation:</strong> The excellent pairs are the following:\n- (3, 3). (3 AND 3) and (3 OR 3) are both equal to (11) in binary. The total number of set bits is 2 + 2 = 4, which is greater than or equal to k = 3.\n- (2, 3) and (3, 2). (2 AND 3) is equal to (10) in binary, and (2 OR 3) is equal to (11) in binary. The total number of set bits is 1 + 2 = 3.\n- (1, 3) and (3, 1). (1 AND 3) is equal to (01) in binary, and (1 OR 3) is equal to (11) in binary. The total number of set bits is 1 + 2 = 3.\nSo the number of excellent pairs is 5.</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [5,1,1], k = 10\n<strong>Output:</strong> 0\n<strong>Explanation:</strong> There are no excellent pairs for this array.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= nums.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 10<sup>9</sup></code></li>\n\t<li><code>1 &lt;= k &lt;= 60</code></li>\n</ul>\n",
            "translatedTitle": "优质数对的数目",
            "translatedContent": "<p>给你一个下标从 <strong>0</strong> 开始的正整数数组 <code>nums</code> 和一个正整数 <code>k</code> 。</p>\n\n<p>如果满足下述条件，则数对 <code>(num1, num2)</code> 是 <strong>优质数对</strong> ：</p>\n\n<ul>\n\t<li><code>num1</code> 和 <code>num2</code> <strong>都</strong> 在数组 <code>nums</code> 中存在。</li>\n\t<li><code>num1 OR num2</code> 和 <code>num1 AND num2</code> 的二进制表示中值为 <strong>1</strong> 的位数之和大于等于 <code>k</code> ，其中 <code>OR</code> 是按位 <strong>或</strong> 操作，而 <code>AND</code> 是按位 <strong>与</strong> 操作。</li>\n</ul>\n\n<p>返回 <strong>不同</strong> 优质数对的数目。</p>\n\n<p>如果&nbsp;<code>a != c</code> 或者 <code>b != d</code> ，则认为 <code>(a, b)</code> 和 <code>(c, d)</code> 是不同的两个数对。例如，<code>(1, 2)</code> 和 <code>(2, 1)</code> 不同。</p>\n\n<p><strong>注意：</strong>如果 <code>num1</code> 在数组中至少出现 <strong>一次</strong> ，则满足 <code>num1 == num2</code> 的数对 <code>(num1, num2)</code> 也可以是优质数对。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>nums = [1,2,3,1], k = 3\n<strong>输出：</strong>5\n<strong>解释：</strong>有如下几个优质数对：\n- (3, 3)：(3 AND 3) 和 (3 OR 3) 的二进制表示都等于 (11) 。值为 1 的位数和等于 2 + 2 = 4 ，大于等于 k = 3 。\n- (2, 3) 和 (3, 2)： (2 AND 3) 的二进制表示等于 (10) ，(2 OR 3) 的二进制表示等于 (11) 。值为 1 的位数和等于 1 + 2 = 3 。\n- (1, 3) 和 (3, 1)： (1 AND 3) 的二进制表示等于 (01) ，(1 OR 3) 的二进制表示等于 (11) 。值为 1 的位数和等于 1 + 2 = 3 。\n所以优质数对的数目是 5 。</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>nums = [5,1,1], k = 10\n<strong>输出：</strong>0\n<strong>解释：</strong>该数组中不存在优质数对。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= nums.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 10<sup>9</sup></code></li>\n\t<li><code>1 &lt;= k &lt;= 60</code></li>\n</ul>\n",
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