p02450 Permutation Enumeration
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
```python
from itertools import permutations
import sys

write = sys.stdout.write
N = int(sys.stdin.readline())

for p in permutations(map(str, range(1, N + 1)), r = N):
    write(" ".join(p))
    write("\n")

```