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 rep(i, n) for (int i = 0; i < (n); ++i)
using namespace std;
using ll = long long;
using P = pair<int, int>;

int main() {
	int	N;
	cin >> N;
	vector<int> vec(N);
	rep(i, N)
		vec.at(i) = i + 1;
	do
	{
		rep(i, N)
		{
			if (i)
				cout << ' ';
			cout << vec.at(i);
		}
		cout << endl;
	}
	while (next_permutation(vec.begin(), vec.end()));
}

