#include <bits/stdc++.h>
using namespace std;
int main() {
  int n;
  scanf("%d", &n);
  for (int i = n - 1; i >= 0; i--) {
    if ((i % 2) == 0) printf("%d ", n - i);
  }
  for (int i = 2; i < n; i++) {
    if ((i % 2) == 0) printf("%d ", n - i);
  }
  printf("%d ", n);
  for (int i = n - 1; i >= 0; i--) {
    if (i % 2) printf("%d ", n - i);
  }
  for (int i = 1; i < n; i++) {
    if (i % 2) printf("%d ", n - i);
  }
}

### Prompt

Your challenge is to write a CPP solution to the following problem:

You have array a that contains all integers from 1 to n twice. You can arbitrary permute any numbers in a.

Let number i be in positions xi, yi (xi < yi) in the permuted array a. Let's define the value di = yi - xi — the distance between the positions of the number i. Permute the numbers in array a to minimize the value of the sum <image>.

Input

The only line contains integer n (1 ≤ n ≤ 5·105).

Output

Print 2n integers — the permuted array a that minimizes the value of the sum s.

Examples

Input

2


Output

1 1 2 2


Input

1


Output

1 1

### Response

```cpp
#include <bits/stdc++.h>
using namespace std;
int main() {
  int n;
  scanf("%d", &n);
  for (int i = n - 1; i >= 0; i--) {
    if ((i % 2) == 0) printf("%d ", n - i);
  }
  for (int i = 2; i < n; i++) {
    if ((i % 2) == 0) printf("%d ", n - i);
  }
  printf("%d ", n);
  for (int i = n - 1; i >= 0; i--) {
    if (i % 2) printf("%d ", n - i);
  }
  for (int i = 1; i < n; i++) {
    if (i % 2) printf("%d ", n - i);
  }
}

```