Problem3494--Little Elephant and Function

3494: Little Elephant and Function

Time Limit: 2 Sec  Memory Limit: 256 MB
Submit: 0  Solved: 0
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Description

time limit per test
2 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output

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.

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.

Examples
Input
1
Output
1
Input
2
Output
2 1

Source/Category

 
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