Find out how Abstractly Capacious™ someone is! At the Code-Golf™ Psychological Society, you are delighted to present a new method of measuring mental age: Abstract Capacity™.

To get the Abstract Capacity of a person, you take their actual age divided by 4, take their IQ divided by 9, then add the two values together. Then, round this sum down to find the Abstract Capacity. 

Challenge

Write a program, given an actual age A and an IQ of I, produces the Abstract Capacity using those values. The program should also print how older (age) or how smarter (IQ) someone should be in order to raise their Abstract Capacity by 1. 

An input will always look something like


  A I


and an output will always look something like


  AC A' I'


where AC, A' and I' respectively denote the Abstract Capacity, how older someone has to be to raise their Abstract Capacity, and how smarter someone has to be to raise their Abstract Capacity. 

Examples

Input

13 43 


Output

8 4 9


Input

92 5 


Output

23 2 4


Input

40 17 


Output

11 1 1


Rules

Your code must be able to find the Abstract Capacity for any given A and I when 1 &lt; A,I &lt; 400.

This is code-golf. Shortest answer in bytes wins!
Python 2, 61 bytes



def f(a,i):r=a*9+i*4;print r/36,(r+44-i*4)/9-a,(r+39-a*9)/4-i


Try it online!