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Problem: Continuous Subarray Sum

Medium
30 min
Explore how to identify good subarrays within an integer array whose sums are multiples of a given number k. Learn to apply hash map logic to efficiently solve this common coding interview problem and understand key concepts behind contiguous subarray sums and modular arithmetic.

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:

  • 11 \leq nums.length 104\leq 10^4

  • 00 \leq nums[i] 105\leq 10^5

  • 00 \leq sum(nums[i]) 2311\leq 2^{31} - 1

  • 11 \leq k 2311\leq 2^{31} - 1

Problem
Ask
Submissions

Problem: Continuous Subarray Sum

Medium
30 min
Explore how to identify good subarrays within an integer array whose sums are multiples of a given number k. Learn to apply hash map logic to efficiently solve this common coding interview problem and understand key concepts behind contiguous subarray sums and modular arithmetic.

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:

  • 11 \leq nums.length 104\leq 10^4

  • 00 \leq nums[i] 105\leq 10^5

  • 00 \leq sum(nums[i]) 2311\leq 2^{31} - 1

  • 11 \leq k 2311\leq 2^{31} - 1