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Count Prime-Gap Balanced Subarrays

You are given an integer array nums and an integer k.

You are given an integer array nums and an integer k.

A subarray is called prime-gap balanced if:

Return the count of prime-gap balanced subarrays in nums.

Note:

Count Prime-Gap Balanced Subarrays diagram

Example 1

Input: nums = [1,2,3], k = 1

Output: 2

Explanation: Prime-gap balanced subarrays are: Thus, the answer is 2.

Example 2

Input: nums = [2,3,5,7], k = 3

Output: 4

Explanation: Prime-gap balanced subarrays are: Thus, the answer is 4.

Constraints

  • 1 <= nums.length <= 5 * 10^4
  • 1 <= nums[i] <= 5 * 10^4
  • 0 <= k <= 5 * 10^4

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