Check If Array Pairs Are Divisible by k

Given an array of integers arr of even length n and an integer k.

We want to divide the array into exactly n / 2 pairs such that the sum of each pair is divisible by k.

Return true if you can find a way to do that, or false otherwise.

Example 1
Inputarr = [1,2,3,4,5,10,6,7,8,9], k = 5
Outputtrue
Pairs are (1,9), (2,8), (3,7), (4,6), and (5,10).
Example 2
Inputarr = [1,2,3,4,5,6], k = 7
Outputtrue
Pairs are (1,6), (2,5), and (3,4).

Constraints

  • arr.length == n
  • 1 <= n <= 10^5
  • n is even.
  • -10^9 <= arr[i] <= 10^9
  • 1 <= k <= 10^5

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