leetcode-problemset/leetcode-cn/originData/triples-with-bitwise-and-equal-to-zero.json

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            "categoryTitle": "Algorithms",
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            "title": "Triples with Bitwise AND Equal To Zero",
            "titleSlug": "triples-with-bitwise-and-equal-to-zero",
            "content": "<p>Given an integer array nums, return <em>the number of <strong>AND triples</strong></em>.</p>\n\n<p>An <strong>AND triple</strong> is a triple of indices <code>(i, j, k)</code> such that:</p>\n\n<ul>\n\t<li><code>0 &lt;= i &lt; nums.length</code></li>\n\t<li><code>0 &lt;= j &lt; nums.length</code></li>\n\t<li><code>0 &lt;= k &lt; nums.length</code></li>\n\t<li><code>nums[i] &amp; nums[j] &amp; nums[k] == 0</code>, where <code>&amp;</code> represents the bitwise-AND operator.</li>\n</ul>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [2,1,3]\n<strong>Output:</strong> 12\n<strong>Explanation:</strong> We could choose the following i, j, k triples:\n(i=0, j=0, k=1) : 2 &amp; 2 &amp; 1\n(i=0, j=1, k=0) : 2 &amp; 1 &amp; 2\n(i=0, j=1, k=1) : 2 &amp; 1 &amp; 1\n(i=0, j=1, k=2) : 2 &amp; 1 &amp; 3\n(i=0, j=2, k=1) : 2 &amp; 3 &amp; 1\n(i=1, j=0, k=0) : 1 &amp; 2 &amp; 2\n(i=1, j=0, k=1) : 1 &amp; 2 &amp; 1\n(i=1, j=0, k=2) : 1 &amp; 2 &amp; 3\n(i=1, j=1, k=0) : 1 &amp; 1 &amp; 2\n(i=1, j=2, k=0) : 1 &amp; 3 &amp; 2\n(i=2, j=0, k=1) : 3 &amp; 2 &amp; 1\n(i=2, j=1, k=0) : 3 &amp; 1 &amp; 2\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [0,0,0]\n<strong>Output:</strong> 27\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;= 1000</code></li>\n\t<li><code>0 &lt;= nums[i] &lt; 2<sup>16</sup></code></li>\n</ul>\n",
            "translatedTitle": "按位与为零的三元组",
            "translatedContent": "<p>给你一个整数数组 <code>nums</code> ，返回其中 <strong>按位与三元组</strong> 的数目。</p>\n\n<p><strong>按位与三元组</strong> 是由下标 <code>(i, j, k)</code> 组成的三元组，并满足下述全部条件：</p>\n\n<ul>\n\t<li><code>0 &lt;= i &lt; nums.length</code></li>\n\t<li><code>0 &lt;= j &lt; nums.length</code></li>\n\t<li><code>0 &lt;= k &lt; nums.length</code></li>\n\t<li><code>nums[i] &amp; nums[j] &amp; nums[k] == 0</code> ，其中 <code>&amp;</code> 表示按位与运算符。</li>\n</ul>\n&nbsp;\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>nums = [2,1,3]\n<strong>输出：</strong>12\n<strong>解释：</strong>可以选出如下 i, j, k 三元组：\n(i=0, j=0, k=1) : 2 &amp; 2 &amp; 1\n(i=0, j=1, k=0) : 2 &amp; 1 &amp; 2\n(i=0, j=1, k=1) : 2 &amp; 1 &amp; 1\n(i=0, j=1, k=2) : 2 &amp; 1 &amp; 3\n(i=0, j=2, k=1) : 2 &amp; 3 &amp; 1\n(i=1, j=0, k=0) : 1 &amp; 2 &amp; 2\n(i=1, j=0, k=1) : 1 &amp; 2 &amp; 1\n(i=1, j=0, k=2) : 1 &amp; 2 &amp; 3\n(i=1, j=1, k=0) : 1 &amp; 1 &amp; 2\n(i=1, j=2, k=0) : 1 &amp; 3 &amp; 2\n(i=2, j=0, k=1) : 3 &amp; 2 &amp; 1\n(i=2, j=1, k=0) : 3 &amp; 1 &amp; 2\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>nums = [0,0,0]\n<strong>输出：</strong>27\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;= 1000</code></li>\n\t<li><code>0 &lt;= nums[i] &lt; 2<sup>16</sup></code></li>\n</ul>\n",
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