Everyone get to work! Byteland needs to be reconstructed after a devastating war!
You are responsible for assigning postal codes to bytean cities. Each city should receive one postal code - a positive integer not greater than $10^{9}$. Different cities should be assigned different postal codes.
The Bytean Postal Service is organized in a quite strange way; a letter can be sent from city $ A $ to city $ B $ only if the postal codes of these two cities have a common divisor greater than 1. Obviously, one of your objectives is that there should be a possibility of sending letters directly from every city to every other city after the postal codes are assigned.
Additionally, the new anti-corruption law requires that for each set of cities, containing more than a half of bytean cities, postal codes assigned to cities from this set must not have any common divisor greater than one.
Write a program that:
- reads the number of cities of Byteland from the standard input,
- assigns a postal code to each bytean city,
- writes the assignment to the standard output.
Input Format
The first and only line of input contains one integer $ n $ ($4 ≤ n ≤ 100$) denoting the number of cities of Byteland.
Output Format
The output should consist of exactly $ n $ lines. The $ i $-th line should contain one positive integer not greater than $10^{9}$ - the postal code of the $ i $-th bytean city. You can assume that for each possible input there exists a valid assignment of postal codes to the cities. If there are multiple correct solutions, your program should output any one of them.
Example
Input
5
Output
714 2090 4485 29029 215441