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Grokking the Coding Interview Patterns

Solution: Continuous Subarray Sum

Explore a method to determine if an integer array contains a continuous subarray of at least length two whose sum is divisible by a given number k. Understand how to use cumulative sums with modular arithmetic and hash maps to efficiently detect such subarrays, ensuring an optimized O(n) time complexity and clear algorithmic approach.

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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: ...