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Solution: Continuous Subarray Sum

Explore how to determine if an integer array contains a continuous subarray of length at least two whose sum is a multiple of a given integer k. Learn to apply hash maps to track remainders of cumulative sums, enabling efficient detection of qualifying subarrays with linear 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: ...