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Solution: Continuous Subarray Sum

Explore how to efficiently solve the continuous subarray sum problem by using hash maps to track remainders of cumulative sums divided by k. Understand the approach to identify subarrays that satisfy the conditions and implement it with linear time and 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 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: ...