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;

#define reps(i, n, m) for (int i = (int) (n); i < (int) (m); i++)
#define rep(i, n) reps(i, 0, (n))
#define all(v) (v).begin(), (v).end()

int main() {
    int n; cin >> n;
    vector<int> v(n);
    iota(all(v), 1);
    do {
        rep(i, n) {
            cout << v[i] << " \n"[i==n-1];
        }
    } while (next_permutation(all(v)));
}
