2148. Count Elements With Strictly Smaller and Greater Elements

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Given an integer array nums, return the number of elements that have both a strictly smaller and a strictly greater element appear in nums.

 

Example 1:

Input: nums = [11,7,2,15]
Output: 2
Explanation: The element 7 has the element 2 strictly smaller than it and the element 11 strictly greater than it.
Element 11 has element 7 strictly smaller than it and element 15 strictly greater than it.
In total there are 2 elements having both a strictly smaller and a strictly greater element appear in nums.

Example 2:

Input: nums = [-3,3,3,90]
Output: 2
Explanation: The element 3 has the element -3 strictly smaller than it and the element 90 strictly greater than it.
Since there are two elements with the value 3, in total there are 2 elements having both a strictly smaller and a strictly greater element appear in nums.

 

Constraints:

  • 1 <= nums.length <= 100
  • -105 <= nums[i] <= 105

Hints

Hint 1
All the elements in the array should be counted except for the minimum and maximum elements.
Hint 2
If the array has n elements, the answer will be n - count(min(nums)) - count(max(nums))
Hint 3
This formula will not work in case the array has all the elements equal, why?

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