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Count Subarrays With Fixed Bounds

Hard

You receive an integer array nums and two integers minK and maxK.

A fixed-bound subarray of nums is a subarray that satisfies the following conditions:

  • The minimum value in the subarray is equal to minK.

  • The maximum value in the subarray is equal to maxK.

Produce the number of fixed-bound subarrays.

A subarray is a contiguous part of an array.

Example 1

Input: nums = [1,3,5,2,7,5], minK = 1, maxK = 5

Output: 2

Explanation: The fixed-bound subarrays are [1,3,5] and [1,3,5,2].

Example 2

Input: nums = [1,1,1,1], minK = 1, maxK = 1

Output: 10

Explanation: Every subarray of nums is a fixed-bound subarray. There are 10 possible subarrays.

Constraints

  • 2 <= nums.length <= 10^5
  • 1 <= nums[i], minK, maxK <= 10^6

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