Package for this problem was not updated by the problem writer or Codeforces administration after we’ve upgraded the judging servers. To adjust the time limit constraint, solution execution time will be multiplied by 2. For example, if your solution works for 400 ms on judging servers, then value 800 ms will be displayed and used to determine the verdict.

Virtual contest is a way to take part in past contest, as close as possible to participation on time. It is supported only ACM-ICPC mode for virtual contests.
If you've seen these problems, a virtual contest is not for you - solve these problems in the archive.
If you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.
Never use someone else's code, read the tutorials or communicate with other person during a virtual contest.

No tag edit access

D. Petya and His Friends

time limit per test

2 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputLittle Petya has a birthday soon. Due this wonderful event, Petya's friends decided to give him sweets. The total number of Petya's friends equals to *n*.

Let us remind you the definition of the greatest common divisor: *GCD*(*a*_{1}, ..., *a*_{k}) = *d*, where *d* represents such a maximal positive number that each *a*_{i} (1 ≤ *i* ≤ *k*) is evenly divisible by *d*. At that, we assume that all *a*_{i}'s are greater than zero.

Knowing that Petya is keen on programming, his friends has agreed beforehand that the 1-st friend gives *a*_{1} sweets, the 2-nd one gives *a*_{2} sweets, ..., the *n*-th one gives *a*_{n} sweets. At the same time, for any *i* and *j* (1 ≤ *i*, *j* ≤ *n*) they want the *GCD*(*a*_{i}, *a*_{j}) not to be equal to 1. However, they also want the following condition to be satisfied: *GCD*(*a*_{1}, *a*_{2}, ..., *a*_{n}) = 1. One more: all the *a*_{i} should be distinct.

Help the friends to choose the suitable numbers *a*_{1}, ..., *a*_{n}.

Input

The first line contains an integer *n* (2 ≤ *n* ≤ 50).

Output

If there is no answer, print "-1" without quotes. Otherwise print a set of *n* distinct positive numbers *a*_{1}, *a*_{2}, ..., *a*_{n}. Each line must contain one number. Each number must consist of not more than 100 digits, and must not contain any leading zeros. If there are several solutions to that problem, print any of them.

Do not forget, please, that all of the following conditions must be true:

- For every
*i*and*j*(1 ≤*i*,*j*≤*n*):*GCD*(*a*_{i},*a*_{j}) ≠ 1 -
*GCD*(*a*_{1},*a*_{2}, ...,*a*_{n}) = 1 - For every
*i*and*j*(1 ≤*i*,*j*≤*n*,*i*≠*j*):*a*_{i}≠*a*_{j}

Please, do not use %lld specificator to read or write 64-bit integers in C++. It is preffered to use cout (also you may use %I64d).

Examples

Input

3

Output

99

55

11115

Input

4

Output

385

360

792

8360

Codeforces (c) Copyright 2010-2017 Mike Mirzayanov

The only programming contests Web 2.0 platform

Server time: Jul/22/2017 01:48:36 (c2).

Desktop version, switch to mobile version.

User lists

Name |
---|