CF946B.Weird Subtraction Process

普及/提高-

通过率：0%

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题目描述

You have two variables $a$ and $b$ . Consider the following sequence of actions performed with these variables:

If $a=0$ or $b=0$ , end the process. Otherwise, go to step $2$ ;
If $a>=2·b$ , then set the value of $a$ to $a-2·b$ , and repeat step $1$ . Otherwise, go to step $3$ ;
If $b>=2·a$ , then set the value of $b$ to $b-2·a$ , and repeat step $1$ . Otherwise, end the process.

Initially the values of $a$ and $b$ are positive integers, and so the process will be finite.

You have to determine the values of $a$ and $b$ after the process ends.

输入格式

The only line of the input contains two integers $n$ and $m$ ( $1<=n,m<=10^{18}$ ). $n$ is the initial value of variable $a$ , and $m$ is the initial value of variable $b$ .

输出格式

Print two integers — the values of $a$ and $b$ after the end of the process.

输入输出样例

输入#1
```
12 5
```
输出#1
```
0 1
```
输入#2
```
31 12
```
输出#2
```
7 12
```

说明/提示

Explanations to the samples:

$a=12$ , $b=5$ $a=2$ , $b=5$ $a=2$ , $b=1$ $a=0$ , $b=1$ ;
$a=31$ , $b=12$ $a=7$ , $b=12$ .

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