Determine if a multiple-sum subarray exists
Problem Statement
Given an array of integers, nums, and an integer k, determine if there exists a contiguous subarray within nums that meets the following criteria:
- The subarray must have a length of at least 2.
- The sum of the elements in the subarray must be divisible by
k.
Return true if such a subarray exists; otherwise, return false.
Special Condition for k = 0
If k is 0, the requirement for divisibility by k should be interpreted as finding a contiguous subarray of length at least 2 whose sum is exactly 0.
Deliverables
- Explain your proposed approach.
- Analyze the time complexity of your solution.
- Analyze the space complexity of your solution.
Follow-up
How would you adapt your solution to a streaming setting where the nums array arrives incrementally?
AI interview prep
Core dilemma
Efficiently identifying a specific sum property (divisibility by k) within all possible contiguous subarrays, while handling edge cases like k=0 and the minimum length constraint, and then adapting to resource-constrained streaming environments.
3 tradeoffs and 3 stress tests locked
Interview prep
Unlock the interviewer X-Ray rubric, tradeoff matrix, stress tests, clarifying questions, and key concepts.
Determine if a multiple-sum subarray exists
Problem Statement
Given an array of integers, nums, and an integer k, determine if there exists a contiguous subarray within nums that meets the following criteria:
- The subarray must have a length of at least 2.
- The sum of the elements in the subarray must be divisible by
k.
Return true if such a subarray exists; otherwise, return false.
Special Condition for k = 0
If k is 0, the requirement for divisibility by k should be interpreted as finding a contiguous subarray of length at least 2 whose sum is exactly 0.
Deliverables
- Explain your proposed approach.
- Analyze the time complexity of your solution.
- Analyze the space complexity of your solution.
Follow-up
How would you adapt your solution to a streaming setting where the nums array arrives incrementally?