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 <vector>
#include <algorithm>
#include <string>
#include <sstream>

#define INPUT_FROM_FILE (0) 
#if INPUT_FROM_FILE
#include <fstream>
#endif


int main(int argc, char **argv){
	int n;
	std::vector<int> a;

#if INPUT_FROM_FILE
	std::ifstream ifs("test.txt");
	//FILE *fp = fopen("test.txt", "r");
#endif


#if INPUT_FROM_FILE
	ifs >> n;
#else
	std::cin >> n;
#endif

	a.resize(n);
	for(int i = 0; i < n; i++){
		a[i] = i + 1;
	}

	do{
		std::cout << a[0];
		for(int i = 1; i < n; i++){
			std::cout << " " << a[i];
		}
		std::cout << std::endl;
	} while(std::next_permutation(a.begin(), a.end()));

	return 0;
}
