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<iostream>
#include<vector>
#include<bitset>
#include<string>
#include<cmath>
#include<algorithm>
#include<stack>
#include<list>
#include<queue>
#include<map>
using namespace std;
#define rep(i,x) for(int i=0;i<x;i++)
#define re(i,x,y) for(int i=x;i<y;i++)
int INF=1e9;
const long long mod=1e9+7;
typedef long long ll;

int main(){
  int n;
  cin>>n;
  vector<int>a(n);
  rep(i,n){
    a[i]=i+1;
  }
  do{
    rep(i,n){
      if(i)cout<<" ";
      cout<<a[i];
    }
    cout<<endl;
  }while(next_permutation(a.begin(),a.end()));
}
