mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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174 lines
19 KiB
JSON
174 lines
19 KiB
JSON
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"questionId": "477",
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"categoryTitle": "Algorithms",
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"boundTopicId": 1798,
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"title": "Total Hamming Distance",
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"content": "<p>The <a href=\"https://en.wikipedia.org/wiki/Hamming_distance\" target=\"_blank\">Hamming distance</a> between two integers is the number of positions at which the corresponding bits are different.</p>\n\n<p>Given an integer array <code>nums</code>, return <em>the sum of <strong>Hamming distances</strong> between all the pairs of the integers in</em> <code>nums</code>.</p>\n\n<p> </p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [4,14,2]\n<strong>Output:</strong> 6\n<strong>Explanation:</strong> In binary representation, the 4 is 0100, 14 is 1110, and 2 is 0010 (just\nshowing the four bits relevant in this case).\nThe answer will be:\nHammingDistance(4, 14) + HammingDistance(4, 2) + HammingDistance(14, 2) = 2 + 2 + 2 = 6.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [4,14,4]\n<strong>Output:</strong> 4\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= nums.length <= 10<sup>4</sup></code></li>\n\t<li><code>0 <= nums[i] <= 10<sup>9</sup></code></li>\n\t<li>The answer for the given input will fit in a <strong>32-bit</strong> integer.</li>\n</ul>\n",
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"translatedTitle": "汉明距离总和",
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"translatedContent": "<p>两个整数的 <a href=\"https://baike.baidu.com/item/%E6%B1%89%E6%98%8E%E8%B7%9D%E7%A6%BB/475174?fr=aladdin\">汉明距离</a> 指的是这两个数字的二进制数对应位不同的数量。</p>\n\n<p>给你一个整数数组 <code>nums</code>，请你计算并返回 <code>nums</code> 中任意两个数之间 <strong>汉明距离的总和</strong> 。</p>\n\n<p> </p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>nums = [4,14,2]\n<strong>输出：</strong>6\n<strong>解释：</strong>在二进制表示中，4 表示为 0100 ，14 表示为 1110 ，2表示为 0010 。（这样表示是为了体现后四位之间关系）\n所以答案为：\nHammingDistance(4, 14) + HammingDistance(4, 2) + HammingDistance(14, 2) = 2 + 2 + 2 = 6\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>nums = [4,14,4]\n<strong>输出：</strong>4\n</pre>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 <= nums.length <= 10<sup>4</sup></code></li>\n\t<li><code>0 <= nums[i] <= 10<sup>9</sup></code></li>\n\t<li>给定输入的对应答案符合 <strong>32-bit</strong> 整数范围</li>\n</ul>\n",
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