CF49C Disposition

Description

Vasya bought the collected works of a well-known Berland poet Petya in $ n $ volumes. The volumes are numbered from $ 1 $ to $ n $ . He thinks that it does not do to arrange the book simply according to their order. Vasya wants to minimize the number of the disposition’s divisors — the positive integers $ i $ such that for at least one $ j $ ( $ 1

Input Format

The first line contains number $ n $ ( $ 1

Output Format

Print $ n $ numbers — the sought disposition with the minimum divisor number. The $ j $ -th number ( $ 1