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Solution: Continuous Subarray Sum

Explore the technique to identify a continuous subarray in an integer array whose sum is a multiple of a given integer k. Learn to implement this using hash maps for tracking cumulative sum remainders, enabling quick detection of qualifying subarrays. Understand the logic behind using remainders and how this approach optimizes your solution with O(n) time 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 22.

  • 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: ...