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;
int main()
{
  int n;
  vector<int>v;
  cin>>n;
  for(int i=1;i<=n;i++)
  v.push_back(i);
  do{
      for(int i=0;i<n;i++){
      if(i)
      cout<<' ';
    cout<<v[i];
    }cout<<endl;
  }while(next_permutation(v.begin(),v.end()));

return 0;
}

