A. Little Elephant and Function

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.

Sample test(s)
input
1
output
1 
input
2
output
2 1 

解题说明:此题就是从小规模的数据开始找规律,由于是递归运算,存在相似性,当n=2是,给2 1就能得到从小到大排列的数据,当n=3时,通过分析发现只有3 1 2的组合能得到结果,n=4时 只有4 1 2 3能得到结果,可以推断出数据是n 1 2 ... n-1才行


#include <iostream>
#include<cstdio>
#include<cstring>
#include<cmath>
using namespace std;

int main()
{
	int n,i;
	scanf("%d",&n);
	printf("%d ",n);
	for(i=1;i<n;i++)
	{
		printf("%d ",i);
	}
	return 0;
}


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