Count the Number of Fair Pairs

Given a 0-indexed integer array nums of size n and two integers lower and upper, return the number of fair pairs.

A pair (i, j) is fair if:

  • 0 <= i < j < n
  • lower <= nums[i] + nums[j] <= upper
Example 1
Inputnums = [0,1,7,4,4,5], lower = 3, upper = 6
Output6
There are 6 fair pairs: (0,3), (0,4), (0,5), (1,3), (1,4), and (1,5).
Example 2
Inputnums = [1,7,9,2,5], lower = 11, upper = 11
Output1
There is a single fair pair: (2,3).

Constraints

  • 1 <= nums.length <= 10^5
  • nums.length == n
  • -10^9 <= nums[i] <= 10^9
  • -10^9 <= lower <= upper <= 10^9

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