문제

Author: Goran Gašić

Slavko decided to challenge Mirko! He gave him a real number P and a bag full of pieces of paper with exactly one number 1-5 written on each paper. There is an unlimited quantity of each type of paper.

Mirko’s task is to pick the minimum number of papers in a way that the average of the numbers written on them equals exactly P.

입력

First and only line of input contains real number P. P will have between 1 and 9 decimal places, inclusive (1 ≤ P ≤ 5).

출력

First and only line of output should contain five nonnegative integers - numbers of ones, twos, threes, fours and fives used, respectively. If there are multiple solutions, output any one of them.

예제 입력 1

5.0

예제 출력 1

0 0 0 0 1

예제 입력 2

4.5

예제 출력 2

0 0 0 1 1

예제 입력 3

3.20

예제 출력 3

2 0 0 1 2