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leetcode-problemset/leetcode-cn/originData/sum-of-values-at-indices-with-k-set-bits.json
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"questionId": "3093",
"questionFrontendId": "2859",
"categoryTitle": "Algorithms",
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"title": "Sum of Values at Indices With K Set Bits",
"titleSlug": "sum-of-values-at-indices-with-k-set-bits",
"content": "<p>You are given a <strong>0-indexed</strong> integer array <code>nums</code> and an integer <code>k</code>.</p>\n\n<p>Return <em>an integer that denotes the <strong>sum</strong> of elements in </em><code>nums</code><em> whose corresponding <strong>indices</strong> have <strong>exactly</strong> </em><code>k</code><em> set bits in their binary representation.</em></p>\n\n<p>The <strong>set bits</strong> in an integer are the <code>1</code>&#39;s present when it is written in binary.</p>\n\n<ul>\n\t<li>For example, the binary representation of <code>21</code> is <code>10101</code>, which has <code>3</code> set bits.</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 = [5,10,1,5,2], k = 1\n<strong>Output:</strong> 13\n<strong>Explanation:</strong> The binary representation of the indices are: \n0 = 000<sub>2</sub>\n1 = 001<sub>2</sub>\n2 = 010<sub>2</sub>\n3 = 011<sub>2</sub>\n4 = 100<sub>2 \n</sub>Indices 1, 2, and 4 have k = 1 set bits in their binary representation.\nHence, the answer is nums[1] + nums[2] + nums[4] = 13.</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [4,3,2,1], k = 2\n<strong>Output:</strong> 1\n<strong>Explanation:</strong> The binary representation of the indices are:\n0 = 00<sub>2</sub>\n1 = 01<sub>2</sub>\n2 = 10<sub>2</sub>\n3 = 11<sub>2\n</sub>Only index 3 has k = 2 set bits in its binary representation.\nHence, the answer is nums[3] = 1.\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>1 &lt;= nums[i] &lt;= 10<sup>5</sup></code></li>\n\t<li><code>0 &lt;= k &lt;= 10</code></li>\n</ul>\n",
"translatedTitle": "计算 K 置位下标对应元素的和",
"translatedContent": "<p>给你一个下标从 <strong>0</strong> 开始的整数数组 <code>nums</code> 和一个整数 <code>k</code> 。</p>\n\n<p>请你用整数形式返回 <code>nums</code> 中的特定元素之 <strong>和</strong> ,这些特定元素满足:其对应下标的二进制表示中恰存在 <code>k</code> 个置位。</p>\n\n<p>整数的二进制表示中的 1 就是这个整数的 <strong>置位</strong> 。</p>\n\n<p>例如,<code>21</code> 的二进制表示为 <code>10101</code> ,其中有 <code>3</code> 个置位。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1</strong></p>\n\n<pre>\n<strong>输入:</strong>nums = [5,10,1,5,2], k = 1\n<strong>输出:</strong>13\n<strong>解释:</strong>下标的二进制表示是: \n0 = 000<sub>2</sub>\n1 = 001<sub>2</sub>\n2 = 010<sub>2</sub>\n3 = 011<sub>2</sub>\n4 = 100<sub>2 \n</sub>下标 1、2 和 4 在其二进制表示中都存在 k = 1 个置位。\n因此答案为 nums[1] + nums[2] + nums[4] = 13 。</pre>\n\n<p><strong class=\"example\">示例 2</strong></p>\n\n<pre>\n<strong>输入:</strong>nums = [4,3,2,1], k = 2\n<strong>输出:</strong>1\n<strong>解释:</strong>下标的二进制表示是: \n0 = 00<sub>2</sub>\n1 = 01<sub>2</sub>\n2 = 10<sub>2</sub>\n3 = 11<sub>2\n</sub>只有下标 3 的二进制表示中存在 k = 2 个置位。\n因此答案为 nums[3] = 1 。\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>1 &lt;= nums[i] &lt;= 10<sup>5</sup></code></li>\n\t<li><code>0 &lt;= k &lt;= 10</code></li>\n</ul>\n",
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