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Continuous Subarray Sum

Given an integer array nums and an integer k, return true if nums has a good subarray or false otherwise.

Given an integer array nums and an integer k, return true if nums has a good subarray or false otherwise.

A good subarray is a subarray where:

Note that:

Continuous Subarray Sum diagram

Example 1

Input: nums = [23,2,4,6,7], k = 6

Output: true

Explanation: [2, 4] is a continuous subarray of size 2 whose elements sum up to 6.

Example 2

Input: nums = [23,2,6,4,7], k = 6

Output: true

Explanation: [23, 2, 6, 4, 7] is an continuous subarray of size 5 whose elements sum up to 42. 42 is a multiple of 6 because 42 = 7 * 6 and 7 is an integer.

Example 3

Input: nums = [23,2,6,4,7], k = 13

Output: false

Constraints

  • 1 <= nums.length <= 10^5
  • 0 <= nums[i] <= 10^9
  • 0 <= sum(nums[i]) <= 231 - 1
  • 1 <= k <= 231 - 1

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