count-the-number-of-fair-pairs

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, and

  • lower <= nums[i] + nums[j] <= upper



 


Example 1:



Input: nums = [0,1,7,4,4,5], lower = 3, upper = 6
Output: 6
Explanation: There are 6 fair pairs: (0,3), (0,4), (0,5), (1,3), (1,4), and (1,5).


Example 2:



Input: nums = [1,7,9,2,5], lower = 11, upper = 11
Output: 1
Explanation: There is a single fair pair: (2,3).


 


Constraints:




  • 1 <= nums.length <= 105

  • nums.length == n

  • -109 <= nums[i] <= 109

  • -109 <= lower <= upper <= 109


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