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;
using i64 = int64_t;
using vi = vector<i64>;
using vvi = vector<vi>;

void printvec(vi& x, int size = 0) {
    if (x.size() == 0) {
        cout << endl;
        return;
    }
    cout << x.front();
    for (int i = 1; i < (size == 0 ? x.size() : size); i++) {
        cout << " " << x[i];
    }
    cout << endl;
}

int main() {
    int n;
    cin >> n;
    vi as(n);
    iota(as.begin(), as.end(), 1);
    do {
        printvec(as);
    } while (next_permutation(as.begin(), as.end()));
}
