Problem:
Score : 200 points

Problem Statement

In the beginning, Takahashi has A cookies, and Aoki has B cookies.
They will perform the following operation alternately, starting from Takahashi:

If the number of cookies in his hand is odd, eat one of those cookies; if the number is even, do nothing. Then, give one-half of the cookies in his hand to the other person.

Find the numbers of cookies Takahashi and Aoki respectively have after performing K operations in total.

Constraints

1 \leq A,B \leq 10^9

1 \leq K \leq 100

A,B and K are integers.

Input

Input is given from Standard Input in the following format:

A B K

Output

Print the number of cookies Takahashi has, and the number of cookies Aoki has, in this order, after performing K operations in total.

Sample Input 1

5 4 2

Sample Output 1

5 3

The process will go as follows:

In the beginning, Takahashi and Aoki have 5 and 4 cookies, respectively.

Takahashi eats one cookie and gives two cookies to Aoki. They now have 2 and 6 cookies, respectively.

Aoki gives three cookies to Takahashi. They now have 5 and 3 cookies, respectively.

Sample Input 2

3 3 3

Sample Output 2

1 3

Sample Input 3

314159265 358979323 84

Sample Output 3

448759046 224379523

Solution in PHP7 (7.0.15) (judge verdict: Accepted)

<?php

$input = trim(fgets(STDIN));
$input = explode(" ", $input);

$a = (int)$input[0];
$b = (int)$input[1];
$k = (int)$input[2];

for ($i=0; $i < $k; $i++) { 
	if ($i %2 === 0) {
		if ($a % 2 === 1) {
			$a -= 1;
		}
		$a = $a /2;
		$b += $a;
	}else{
		if ($b % 2 === 1) {
			$b -= 1;
		}
		$b = $b /2;
		$a += $b;
	}
}
echo $a . ' ' . $b ;