For given an integer $n$, print all permutations of $\\{1, 2, ..., n\\}$ in lexicographic order.

Constraints

* $1 \leq n \leq 9$

Input

An integer $n$ is given in a line.

Output

Print each permutation in a line in order. Separate adjacency elements by a space character.

Examples

Input

2


Output

1 2
2 1


Input

3


Output

1 2 3
1 3 2
2 1 3
2 3 1
3 1 2
3 2 1
#include<bits/stdc++.h>
using namespace std;

template<class T>
ostream& operator<<(ostream& os,vector<T> const& v){for(auto itr=v.begin();itr!=v.end();++itr){if(itr!=v.begin())os<<' ';os<<*itr;}return os;}

signed main(){

  int n;
  cin>>n;
  vector<int> a(n);
  iota(a.begin(),a.end(),1);
  do{
    cout<<a<<endl;
  }while(next_permutation(a.begin(),a.end()));

}
