Question 113
dos there exists a positive integer $k$ such that all positive integers from $1$ to $k$ can be Partitioned into two groups can be written one after another (in some order without spaces between them) so That the two acquired numbers are identical? Is it possible to break all natural numbers from $1$ to $k$ into two groups for some kind of natural $k$ so that they get two identical numbers? (N. Agakhanov)