1497. Check If Array Pairs Are Divisible by k

Medium

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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 = 5Output:trueExplanation:Pairs are (1,9),(2,8),(3,7),(4,6) and (5,10).

**Example 2:**

Input:arr = [1,2,3,4,5,6], k = 7Output:trueExplanation:Pairs are (1,6),(2,5) and(3,4).

**Example 3:**

Input:arr = [1,2,3,4,5,6], k = 10Output:falseExplanation: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 <= 10`

^{5}`n`

is even.`-10`

^{9}<= arr[i] <= 10^{9}`1 <= k <= 10`

^{5}

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