public class Solution
extends Object
2195 - Append K Integers With Minimal Sum\.
Medium
You are given an integer array `nums` and an integer `k`. Append `k` **unique positive** integers that do **not** appear in `nums` to `nums` such that the resulting total sum is **minimum**.
Return _the sum of the_ `k` _integers appended to_ `nums`.
**Example 1:**
**Input:** nums = [1,4,25,10,25], k = 2
**Output:** 5
**Explanation:** The two unique positive integers that do not appear in nums which we append are 2 and 3.
The resulting sum of nums is 1 + 4 + 25 + 10 + 25 + 2 + 3 = 70, which is the minimum.
The sum of the two integers appended is 2 + 3 = 5, so we return 5.
**Example 2:**
**Input:** nums = [5,6], k = 6
**Output:** 25
**Explanation:** The six unique positive integers that do not appear in nums which we append are 1, 2, 3, 4, 7, and 8.
The resulting sum of nums is 5 + 6 + 1 + 2 + 3 + 4 + 7 + 8 = 36, which is the minimum.
The sum of the six integers appended is 1 + 2 + 3 + 4 + 7 + 8 = 25, so we return 25.
**Constraints:**
* 1 <= nums.length <= 105
* 1 <= nums[i] <= 109
* 1 <= k <= 108