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 ≤ j ≤ n ) is true both: j mod i = 0 and at the same time p(j) mod i = 0, where p(j) is the number of the tome that stands on the j -th place and mod is the operation of taking the division remainder. Naturally, one volume can occupy exactly one place and in one place can stand exactly one volume. Help Vasya — find the volume disposition with the minimum number of divisors.
输入描述:
The first line contains number n (1 ≤ n ≤ 100000) which represents the number of volumes and free places.
输出描述:
Print n numbers — the sought disposition with the minimum divisor number. The j-th number (1 ≤ j ≤ n) should be equal to p(j) — the number of tome that stands on the j-th place. If there are several solutions, print any of them.
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