How to Solve Append K Integers With Minimal Sum Problem
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Append K Integers With Minimal Sum
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 integer...
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Understanding the Append K Integers With Minimal Sum Problem
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Problem Statement
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.
Append K Integers With Minimal Sum
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Examples
nums = [1,4,25,10,25], k = 2
5
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.
nums = [5,6], k = 6
25
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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