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 <iomanip>
#include<vector>
#include <algorithm>
#include <queue>
#include<string>
#include <map>
#include <cmath>
#include <deque>
#include <list>
#include <stack>
#include <queue>
#include <utility>
typedef long long ll;
typedef long double ld;


#define REP(i,s,n)for(ll i=s;i<(n);++i)
#define rep(i,n) REP(i,0,n)
using namespace std;
ll S[1000] = { 0 };
int N,M,Q;


int main() {
	cin >> N;
	vector<int>A(N);
	rep(i, N) {
		A[i] = i + 1;
	}
	sort(A.begin(), A.end());
	do
	{
		rep(i, N - 1)cout << A[i] << " ";
		cout << A[N - 1] << endl;
	} while (next_permutation(A.begin(),A.end()));
	return 0;
}



