Learned something very interesting today. If you are given an array of positive integers and want to figure out the smallest number that they cannot sum to using each number at most once ([1,2,5] cannot sum to 4, [5,7,1,1,2,3,22] cannot sum to 20), you simply sort the array and find the total sum for each element in the array (incremental subset), then if that total subset sum + 1 < the next number, then the total sum + 1 is not a possible sum. Problem is here
https://www.algoexpert.io/questions/Non-Constructible%20Change