MMO 286 Moscow MO 1954 10-digit numbers, figures 1 and 2, subsets
Source:
August 13, 2019
number theorycombinatoricsSubsetSum10-digit
Problem Statement
Consider the set of all -digit numbers expressible with the help of figures and only. Divide it into two subsets so that the sum of any two numbers of the same subset is a number which is written with not less than two ’s.