Problem2340--Optimal Number Permutation

2340: Optimal Number Permutation

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Time Limit : 2.000 sec  Memory Limit : 256 MiB

Description

time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output

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 .

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

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