Solution: Continuous Subarray Sum
Explore how to determine if an integer array contains a contiguous subarray with a sum that is a multiple of a given number k. Understand the use of cumulative sums combined with hash maps to store and compare remainders, enabling an efficient O(n) time solution. Gain insight into the problem constraints, algorithm design, and complexity analysis.
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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: ...