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 C# (Mono 4.6.2.0) (judge verdict: Accepted)

using System;

class Program {
    static void Main(string[] args) {
        //入力
        string s = Console.ReadLine();
        string[] t = s.Split(' ');
        //数字の割り当て
        int A = int.Parse(t[0]);
        int B = int.Parse(t[1]);
        int K = int.Parse(t[2]);
        
        //K回の操作を行う
        for (int i = 1; i <= K; i++) {
            //奇数回目
            if (i % 2 == 1) {
                B += A / 2;
                A /= 2;
                //偶数回目
            } else {
                A += B / 2;
                B /= 2;
            }
        }

        //出力
        Console.WriteLine(A + " " + B);
    }
}