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>
#define int long long
#define rep(i,n) for(int i=0;i<n;i++)
#define Rep(i,a,b) for(int i=a;i<b;i++)
#define REP(i,a,b) for(int i=a;i<=b;i++)
#define rev(i,n) for(int i=n-1;i>=0;i--)
#define vi vector<int>
#define pi pair<int,int>
#define vp vector<pair<int,int> >
#define all(v) v.begin(),v.end()
using namespace std;

signed main(){
    int n;
    cin>>n;
    vi a(n);
    rep(i,n)a[i]=i+1;
    do{
        rep(i,n)cout<<(i?" ":"")<<a[i];
        cout<<endl;
    }while(next_permutation(all(a)));
    return 0;
}
