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 PHP (5.6.30) (judge verdict: Accepted)

<?php
    $ABK = explode(" ",trim(fgets(STDIN)));
    $A = intval($ABK[0]);
    $B = intval($ABK[1]);
    $K = intval($ABK[2]);
    
    $turn = 0;
    for ($i = 0; $i < $K; $i++) {
        if ($turn == 0) {
            if ($A % 2 == 1) {
                $A--;
            }
            $gift = $A / 2;
            $A = $A - $gift;
            $B = $B + $gift;
            $turn++;
        } else {
            if ($B % 2 == 1) {
                $B--;
            }
            $gift = $B / 2;
            $B = $B - $gift;
            $A = $A + $gift;
            $turn--;
        }
    }
    
    
    echo $A." ".$B;
?>