A8754. Little Elephant and Function
编程题
普及/提高-
知识点
题目描述
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.
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.
输入格式
A single line contains integer $n$ $(1<=n<=1000)$ — the size of permutation.
输出格式
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.
It is guaranteed that the answer exists.
输入输出样例
输入 #1
1
输出 #1
1
输入 #2
2
输出 #2
2 1