2195. Append K Integers With Minimal Sum
Medium
619
286

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`
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