Nikifor has a number x. He doesn't need it. He needs a number y. Nikifor tries to obtain the required number by erasing some digits from x. But he is not lucky in the meanwhile. May be he is to choose an appropriate number system?
Write a program that reads numbers x and y, and determines a minimal radix of a number system that it is possible to obtain in it the number y from x by erasing some digits. If it is impossible, your program should write to an output a message "No solution".
The only line contains integers x and y (1 ≤ y < x ≤ 1 000 000), separated with a space.
Output either the message "No solution", if there is no appropriate number system, or an integer, not less than 2, that is an answer in the problem.
Problem Author: Dmitry Filimonenkov
Problem Source: Ural State Univerisity Personal Contest Online February'2001 Students Session