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| 1 | +<h2><a href="https://leetcode.com/problems/check-if-array-pairs-are-divisible-by-k">1497. Check If Array Pairs Are Divisible by k</a></h2><h3>Medium</h3><hr><p>Given an array of integers <code>arr</code> of even length <code>n</code> and an integer <code>k</code>.</p> |
| 2 | + |
| 3 | +<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> |
| 4 | + |
| 5 | +<p>Return <code>true</code><em> If you can find a way to do that or </em><code>false</code><em> otherwise</em>.</p> |
| 6 | + |
| 7 | +<p> </p> |
| 8 | +<p><strong class="example">Example 1:</strong></p> |
| 9 | + |
| 10 | +<pre> |
| 11 | +<strong>Input:</strong> arr = [1,2,3,4,5,10,6,7,8,9], k = 5 |
| 12 | +<strong>Output:</strong> true |
| 13 | +<strong>Explanation:</strong> Pairs are (1,9),(2,8),(3,7),(4,6) and (5,10). |
| 14 | +</pre> |
| 15 | + |
| 16 | +<p><strong class="example">Example 2:</strong></p> |
| 17 | + |
| 18 | +<pre> |
| 19 | +<strong>Input:</strong> arr = [1,2,3,4,5,6], k = 7 |
| 20 | +<strong>Output:</strong> true |
| 21 | +<strong>Explanation:</strong> Pairs are (1,6),(2,5) and(3,4). |
| 22 | +</pre> |
| 23 | + |
| 24 | +<p><strong class="example">Example 3:</strong></p> |
| 25 | + |
| 26 | +<pre> |
| 27 | +<strong>Input:</strong> arr = [1,2,3,4,5,6], k = 10 |
| 28 | +<strong>Output:</strong> false |
| 29 | +<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. |
| 30 | +</pre> |
| 31 | + |
| 32 | +<p> </p> |
| 33 | +<p><strong>Constraints:</strong></p> |
| 34 | + |
| 35 | +<ul> |
| 36 | + <li><code>arr.length == n</code></li> |
| 37 | + <li><code>1 <= n <= 10<sup>5</sup></code></li> |
| 38 | + <li><code>n</code> is even.</li> |
| 39 | + <li><code>-10<sup>9</sup> <= arr[i] <= 10<sup>9</sup></code></li> |
| 40 | + <li><code>1 <= k <= 10<sup>5</sup></code></li> |
| 41 | +</ul> |
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