leetcode-problemset/leetcode-cn/originData/check-if-array-pairs-are-divisible-by-k.json

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            "categoryTitle": "Algorithms",
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            "title": "Check If Array Pairs Are Divisible by k",
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            "content": "<p>Given an array of integers <code>arr</code> of even length <code>n</code> and an integer <code>k</code>.</p>\n\n<p>We want to divide the array into exactly <code>n / 2</code> pairs such that the sum of each pair is divisible by <code>k</code>.</p>\n\n<p>Return <code>true</code><em> If you can find a way to do that or </em><code>false</code><em> otherwise</em>.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> arr = [1,2,3,4,5,10,6,7,8,9], k = 5\n<strong>Output:</strong> true\n<strong>Explanation:</strong> Pairs are (1,9),(2,8),(3,7),(4,6) and (5,10).\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> arr = [1,2,3,4,5,6], k = 7\n<strong>Output:</strong> true\n<strong>Explanation:</strong> Pairs are (1,6),(2,5) and(3,4).\n</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> arr = [1,2,3,4,5,6], k = 10\n<strong>Output:</strong> false\n<strong>Explanation:</strong> You can try all possible pairs to see that there is no way to divide arr into 3 pairs each with sum divisible by 10.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>arr.length == n</code></li>\n\t<li><code>1 &lt;= n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>n</code> is even.</li>\n\t<li><code>-10<sup>9</sup> &lt;= arr[i] &lt;= 10<sup>9</sup></code></li>\n\t<li><code>1 &lt;= k &lt;= 10<sup>5</sup></code></li>\n</ul>\n",
            "translatedTitle": "检查数组对是否可以被 k 整除",
            "translatedContent": "<p>给你一个整数数组 <code>arr</code> 和一个整数 <code>k</code> ，其中数组长度是偶数，值为 <code>n</code> 。</p>\n\n<p>现在需要把数组恰好分成 <code>n /&nbsp;2</code> 对，以使每对数字的和都能够被 <code>k</code> 整除。</p>\n\n<p>如果存在这样的分法，请返回 <em>True</em> ；否则，返回 <em>False</em> 。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>arr = [1,2,3,4,5,10,6,7,8,9], k = 5\n<strong>输出：</strong>true\n<strong>解释：</strong>划分后的数字对为 (1,9),(2,8),(3,7),(4,6) 以及 (5,10) 。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>arr = [1,2,3,4,5,6], k = 7\n<strong>输出：</strong>true\n<strong>解释：</strong>划分后的数字对为 (1,6),(2,5) 以及 (3,4) 。\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre>\n<strong>输入：</strong>arr = [1,2,3,4,5,6], k = 10\n<strong>输出：</strong>false\n<strong>解释：</strong>无法在将数组中的数字分为三对的同时满足每对数字和能够被 10 整除的条件。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>arr.length == n</code></li>\n\t<li><code>1 &lt;= n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>n</code> 为偶数<meta charset=\"UTF-8\" /></li>\n\t<li><code>-10<sup>9</sup>&nbsp;&lt;= arr[i] &lt;= 10<sup>9</sup></code></li>\n\t<li><code>1 &lt;= k &lt;= 10<sup>5</sup></code></li>\n</ul>\n",
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