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CF221A.Little Elephant and Function
Little Elephant and Function
The Little Elephant enjoys recursive functions.
This time he enjoys the sorting function. Let a is a permutation of an integers from 1 to n, inclusive, and a**i denotes the i-th element of the permutation. The Little Elephant's recursive function f(x), that sorts the first x permutation's elements, works as follows:
- If x = 1, exit the function.
- Otherwise, call f(x - 1), and then make swap(a**x - 1, a**x) (swap the x-th and (x - 1)-th elements of a).
The Little Elephant's teacher believes that this function does not work correctly. But that-be do not get an F, the Little Elephant wants to show the performance of its function. Help him, find a permutation of numbers from 1 to n, such that after performing the Little Elephant's function (that is call f(n)), the permutation will be sorted in ascending order.
Input
A single line contains integer n (1 ≤ n ≤ 1000) — the size of permutation.
Output
In a single line print n distinct integers from 1 to n — the required permutation. Numbers in a line should be separated by spaces.
It is guaranteed that the answer exists.
Samples
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