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.
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Example 1:
\n\n\nInput: nums = [1,4,25,10,25], k = 2\nOutput: 5\nExplanation: The two unique positive integers that do not appear in nums which we append are 2 and 3.\nThe resulting sum of nums is 1 + 4 + 25 + 10 + 25 + 2 + 3 = 70, which is the minimum.\nThe sum of the two integers appended is 2 + 3 = 5, so we return 5.\n\n
Example 2:
\n\n\nInput: nums = [5,6], k = 6\nOutput: 25\nExplanation: The six unique positive integers that do not appear in nums which we append are 1, 2, 3, 4, 7, and 8.\nThe resulting sum of nums is 5 + 6 + 1 + 2 + 3 + 4 + 7 + 8 = 36, which is the minimum. \nThe sum of the six integers appended is 1 + 2 + 3 + 4 + 7 + 8 = 25, so we return 25.\n\n\n
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Constraints:
\n\n1 <= nums.length <= 1051 <= nums[i] <= 1091 <= k <= 108Compiled with clang 11 using the latest C++ 20 standard.
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Most standard library headers are already included automatically for your convenience.
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