Solution: Continuous Subarray Sum
Explore an efficient algorithm to determine if an integer array contains a continuous subarray whose sum is a multiple of a given integer k. Learn to use hash maps to track remainders of cumulative sums and understand why matching remainders indicate such subarrays. This lesson helps you implement and analyze the solution with time and space complexity considerations.
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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: ...