mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
synced 2025-01-27 02:30:28 +08:00
174 lines
19 KiB
JSON
174 lines
19 KiB
JSON
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"categoryTitle": "Algorithms",
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"boundTopicId": 2912,
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"title": "Triples with Bitwise AND Equal To Zero",
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"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 <= i < nums.length</code></li>\n\t<li><code>0 <= j < nums.length</code></li>\n\t<li><code>0 <= k < nums.length</code></li>\n\t<li><code>nums[i] & nums[j] & nums[k] == 0</code>, where <code>&</code> represents the bitwise-AND operator.</li>\n</ul>\n\n<p> </p>\n<p><strong>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 & 2 & 1\n(i=0, j=1, k=0) : 2 & 1 & 2\n(i=0, j=1, k=1) : 2 & 1 & 1\n(i=0, j=1, k=2) : 2 & 1 & 3\n(i=0, j=2, k=1) : 2 & 3 & 1\n(i=1, j=0, k=0) : 1 & 2 & 2\n(i=1, j=0, k=1) : 1 & 2 & 1\n(i=1, j=0, k=2) : 1 & 2 & 3\n(i=1, j=1, k=0) : 1 & 1 & 2\n(i=1, j=2, k=0) : 1 & 3 & 2\n(i=2, j=0, k=1) : 3 & 2 & 1\n(i=2, j=1, k=0) : 3 & 1 & 2\n</pre>\n\n<p><strong>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> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= nums.length <= 1000</code></li>\n\t<li><code>0 <= nums[i] < 2<sup>16</sup></code></li>\n</ul>\n",
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"translatedTitle": "按位与为零的三元组",
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"translatedContent": "<p>给定一个整数数组 <code>A</code>，找出索引为 (i, j, k) 的三元组，使得：</p>\n\n<ul>\n\t<li><code>0 <= i < A.length</code></li>\n\t<li><code>0 <= j < A.length</code></li>\n\t<li><code>0 <= k < A.length</code></li>\n\t<li><code>A[i] & A[j] & A[k] == 0</code>，其中 <code>&</code> 表示按位与（AND）操作符。</li>\n</ul>\n\n<p> </p>\n\n<p><strong>示例：</strong></p>\n\n<pre><strong>输入：</strong>[2,1,3]\n<strong>输出：</strong>12\n<strong>解释：</strong>我们可以选出如下 i, j, k 三元组：\n(i=0, j=0, k=1) : 2 & 2 & 1\n(i=0, j=1, k=0) : 2 & 1 & 2\n(i=0, j=1, k=1) : 2 & 1 & 1\n(i=0, j=1, k=2) : 2 & 1 & 3\n(i=0, j=2, k=1) : 2 & 3 & 1\n(i=1, j=0, k=0) : 1 & 2 & 2\n(i=1, j=0, k=1) : 1 & 2 & 1\n(i=1, j=0, k=2) : 1 & 2 & 3\n(i=1, j=1, k=0) : 1 & 1 & 2\n(i=1, j=2, k=0) : 1 & 3 & 2\n(i=2, j=0, k=1) : 3 & 2 & 1\n(i=2, j=1, k=0) : 3 & 1 & 2\n</pre>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ol>\n\t<li><code>1 <= A.length <= 1000</code></li>\n\t<li><code>0 <= A[i] < 2^16</code></li>\n</ol>\n",
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