Description

You have $5$ kinds of numbers: $1,2,3,4,5$.

You need to choose as few numbers as possible so that the average of their sum is $P$.

Note that each of these $5$ kinds of numbers can be used any number of times.

Input Format

Input one real number $P$ in a single line.

$P$ is a decimal with $1\sim 9$ digits after the decimal point.

Output Format

Output five numbers in one line, representing how many times $1,2,3,4,5$ are used.

If there are multiple optimal solutions, output any one of them. This problem uses SPJ.

5.0

0 0 0 0 1

4.5

0 0 0 1 1

3.20

0 0 4 1 0

Hint

Constraints

For $100\%$ of the testdata, it is guaranteed that $1\le P\le 5$.

Notes

This problem is translated from COCI2010-2011 CONTEST #4 T4 PROSJEK。

Translated by ChatGPT 5