selected_numbers to keep track of the integers that have been added to the k-avoiding array.sum to 0 to keep track of the sum of the k-avoiding array.1 to n, and for each integer i, do the following:
a. Check if the set contains the complement of i with respect to k (i.e., k - i).
b. If the complement is not in the set, add i to the set and to the sum.
c. If the complement is in the set, skip i and check the next integer.n distinct integers.sum as the minimum possible sum of the k-avoiding array.