Problem #74
Find all the whole numbers between 1 and 100 which can be written as a sum
of integers contructed by using each of the digits 0 through 9 exactly
once. For example, 90 = 0 + 1 + 52 + 3 + 4 + 6 + 7 + 8 + 9 is one such
number.
Source: Calgary Junior Mathematics Contest