Solution: Continuous Subarray Sum

Understand how to use hash maps and cumulative sums to detect continuous subarrays where the sum is divisible by a given integer k. This lesson helps you implement an efficient O(n) algorithm in C# to solve the continuous subarray sum problem, including handling edge cases and ensuring subarray length criteria.

We'll cover the following...

Statement
Solution
- Time complexity
- Space complexity

Statement

Given an integer array nums and an integer k, determine if nums contains a good subarray. Return true if such a subarray exists; otherwise, return false.

A subarray of nums is considered good if:

Its length is at least $2$ .
The sum of its elements is a multiple of k.

Notes:
A subarray is defined as a contiguous sequence of elements within an array.
An integer x is a multiple of k if there exists an integer n such that x = n * k. Note that 0 is always considered a multiple of k.

Constraints:

$1 \leq$ nums.length $\leq 10^4$
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