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 <cstdio>
#include <cstring>
#include <iostream>
#include <algorithm>
#include <vector>
#include <numeric>
#define long long long
#define LF '\n'
#define ALL(x) x.begin(), x.end()
using namespace std;
typedef pair<int,int> pii;
template<class A, class B>inline bool chmax(A &a, const B &b){return b>a ? a=b,1 : 0;}
template<class A, class B>inline bool chmin(A &a, const B &b){return b<a ? a=b,1 : 0;}
constexpr int INF = 0x3f3f3f3f;


signed main()
{
  cin.tie(nullptr), ios::sync_with_stdio(false);

  int N;
  cin >> N;
  vector<int> a(N);

  iota(ALL(a), 1);

  do {
    for(int i=0; i<N; ++i) cout << a[i] << (i+1 < N ? ' ' : LF);
  } while(next_permutation(ALL(a)));

  return 0;
}


