CF633B A Trivial Problem

Description

Mr. Santa asks all the great programmers of the world to solve a trivial problem. He gives them an integer $ m $ and asks for the number of positive integers $ n $ , such that the factorial of $ n $ ends with exactly $ m $ zeroes. Are you among those great programmers who can solve this problem?

Input Format

The only line of input contains an integer $ m $ ( $ 1

Output Format

First print $ k $ — the number of values of $ n $ such that the factorial of $ n $ ends with $ m $ zeroes. Then print these $ k $ integers in increasing order.

Explanation/Hint

The factorial of $ n $ is equal to the product of all integers from $ 1 $ to $ n $ inclusive, that is $ n!=1·2·3·...·n $ . In the first sample, $ 5!=120 $ , $ 6!=720 $ , $ 7!=5040 $ , $ 8!=40320 $ and $ 9!=362880 $ .