0974. Subarray Sums Divisible by K

https://leetcode.com/problems/subarray-sums-divisible-by-k

Description

Given an integer array nums and an integer k, return the number of non-empty subarrays that have a sum divisible by k.

A subarray is a contiguous part of an array.

Example 1:

**Input:** nums = [4,5,0,-2,-3,1], k = 5
**Output:** 7
**Explanation:** There are 7 subarrays with a sum divisible by k = 5:
[4, 5, 0, -2, -3, 1], [5], [5, 0], [5, 0, -2, -3], [0], [0, -2, -3], [-2, -3]

Example 2:

**Input:** nums = [5], k = 9
**Output:** 0

Constraints:

  • 1 <= nums.length <= 3 * 104

  • -104 <= nums[i] <= 104

  • 2 <= k <= 104

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