Find the smallest set of distinct whole numbers that contains one 1, two 2s, three 3s, ..., nine 9s
Smallest refers to the sum of the numbers in the set.
5, 6, 7, 8, 9, 19, 28, 29, 37, 38, 39, 46, 47, 48, 49, 56, 57, 58, 59, 67, 68, 69, 78, 79, 89 for a total of 1095.