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A Trivial Problem

2000ms 262144K

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:

The only line of input contains an integer m (1 ≤ m ≤ 100 000) — the required number of trailing zeroes in factorial.

Output:

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.

Sample Input:

1

Sample Output:

5
5 6 7 8 9

Sample Input:

5

Sample Output:

0

Note:

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.

Informação

Codeforces

Provedor Codeforces

Código CF633B

Tags

brute forceconstructive algorithmsmathnumber theory

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Datas 09/05/2023 09:04:36

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