Dick and Jane

Interview

Time limit1sMemory limit128 MB

Summary

Given that Spot was s when Puff was born, Puff was p when Yertle was born, and Spot was y when Yertle was born, find the three current ages.

Level: Medium6 of 10
Topics: Math, Brute force, Implementation
Solved: No attempts yet

Problem

Dick is 12 years old. Saying that someone is $n$ years old means that at least $n$ but strictly fewer than $n + 1$ full years have passed since they were born — every age is rounded down to a whole number of years.

Dick and Jane have three pets: Spot the dog, Puff the cat, and Yertle the turtle. Three facts are known:

Spot was $s$ years old when Puff was born.
Puff was $p$ years old when Yertle was born.
Spot was $y$ years old when Yertle was born.

Each of these ages is a whole number of years, rounded down exactly as Dick's age is. Moreover, the sum of Spot's, Puff's, and Yertle's ages equals the sum of Dick's age (which is $12$ ) and Jane's age ( $j$ ).

Determine the current ages of Spot, Puff, and Yertle.

Input

Each line contains four non-negative integers separated by single spaces: $s$ , $p$ , $y$ , and $j$ . Input continues until end of file, and every line describes an independent scenario.

Output

For each input line, print one line with three integers separated by single spaces: the current ages of Spot, Puff, and Yertle, in that order. Each age is a whole number of years, using the same rounding-down rule described above.

Examples3

Example 1

Input

5 5 10 9
5 5 10 10
5 5 11 10

Expected output

12 7 2
13 7 2
13 7 2

Example 2
Input
```
3 2 5 0
```
Expected output
```
7 4 1
```
Example 3
Input
```
0 0 0 0
```
Expected output
```
4 4 4
```