Reverse Pairs

Given an integer array nums, return the number of reverse pairs in the array.

A reverse pair is a pair (i, j) where:

  • 0 <= i < j < nums.length
  • nums[i] > 2 * nums[j]
Example 1
Inputnums = [1,3,2,3,1]
Output2
The reverse pairs are (1, 4) and (3, 4), where nums[i] = 3, nums[j] = 1, and 3 > 2 * 1.
Example 2
Inputnums = [2,4,3,5,1]
Output3
The reverse pairs are (1, 4), (2, 4), and (3, 4), each satisfying nums[i] > 2 * nums[j].

Constraints

  • 1 <= nums.length <= 5 * 10^4
  • -2^31 <= nums[i] <= 2^31 - 1

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