3723: Little Elephant and Function
Description
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 ai 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(ax-1,ax) (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.
A single line contains integer n (1≤n≤1000) − the size of permutation.
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.
1
1
2
2 1