Solution: Continuous Subarray Sum
Explore the method to detect if an integer array contains a subarray of at least length 2 whose sum is divisible by a given integer k. Understand how to use cumulative sums and hash maps to track remainders of sums modulo k, enabling efficient identification of qualifying subarrays. This lesson guides you through implementing an O(n) time and space solution to this problem, providing a strong pattern for hashing and modular arithmetic in coding interviews.
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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
. 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
xis a multiple ofkif there exists an integernsuch thatx = n * k. Note that0is always considered a multiple ofk.
Constraints: ...