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g0901_1000.s0974_subarray_sums_divisible_by_k.readme.md Maven / Gradle / Ivy

974\. Subarray Sums Divisible by K

Medium

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