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:
Input: arr = [1,2,3,4,5,10,6,7,8,9], k = 5 Output: true Explanation: Pairs are (1,9),(2,8),(3,7),(4,6) and (5,10).
Example 2:
Input: arr = [1,2,3,4,5,6], k = 7 Output: true Explanation: Pairs are (1,6),(2,5) and(3,4).
Example 3:
Input: arr = [1,2,3,4,5,6], k = 10 Output: false Explanation: 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.
Constraints:
arr.length == n
1 <= n <= 105
n
is even.-109 <= arr[i] <= 109
1 <= k <= 105