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Solution: Subarray Sums Divisible by K
Problem Statement
Given an array of integers nums and an integer k, return the count of non-empty subarrays that have a sum that is divisible by k.
A subarray is a continuous part of an array.
Examples
Example 1
- Input:
nums = [3, 1, 2, -2, 5, -1], k = 3 - Expected Output:
7 - Justification: The subarrays that sum to a multiple of 3 are
[3],[1, 2],[3, 1, 2],[3, 1, 2, -2, 5],[1, 2, -2, 5],[-2, 5], and[2, -2].
Example 2
- Input:
nums = [4, 5, 0, -2, -3, 1], k = 5 - Expected Output:
7
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