Given an integer array nums and an integer k, find the maximum sum of a non empty subarray of nums such that the length of the subarray is divisible by k.

Note: A subarray is a contiguous sequence of elements within an array.

Constraints:

• $1 \leq$ k $\leq$ nums.length $\leq 2 \times 10^5$

• $-10^9 \leq$ nums[i] $\leq 10^9$

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