Manthan, Codefest 16 |
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Finished |

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brute force

constructive algorithms

math

number theory

*1300

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B. A Trivial Problem

time limit per test

2 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputMr. 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.

Examples

Input

1

Output

5

5 6 7 8 9

Input

5

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.

Codeforces (c) Copyright 2010-2023 Mike Mirzayanov

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