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2592\. Maximize Greatness of an Array

Medium

You are given a 0-indexed integer array `nums`. You are allowed to permute `nums` into a new array `perm` of your choosing.

We define the **greatness** of `nums` be the number of indices `0 <= i < nums.length` for which `perm[i] > nums[i]`.

Return _the **maximum** possible greatness you can achieve after permuting_ `nums`.

**Example 1:**

**Input:** nums = [1,3,5,2,1,3,1]

**Output:** 4

**Explanation:** One of the optimal rearrangements is perm = [2,5,1,3,3,1,1]. At indices = 0, 1, 3, and 4, perm[i] > nums[i]. Hence, we return 4.

**Example 2:**

**Input:** nums = [1,2,3,4]

**Output:** 3

**Explanation:** We can prove the optimal perm is [2,3,4,1]. At indices = 0, 1, and 2, perm[i] > nums[i]. Hence, we return 3.

**Constraints:**

*   1 <= nums.length <= 105
*   0 <= nums[i] <= 109




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