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Solution: Continuous Subarray Sum

Understand how to use hash maps and cumulative sums to determine if an integer array contains a subarray of at least length two, where the sum is a multiple of a given integer k. Learn the algorithmic logic behind tracking remainders to efficiently find and verify qualifying subarrays, preparing you for coding challenges involving modular arithmetic and subarray detection.

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: ...