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;
using System.Linq;

public class Hello
{
    public static void Main()
    {
        // Your code here!
        int[] a = Console.ReadLine().Split(' ').Select(x => int.Parse(x)).ToArray();
        int A = a[0];
        int B = a[1];
        int K = a[2];
        int numT = A;
        int numA = B;
        
        for(int i = 1; i <= K; i++)
        {
            if(i % 2 == 1)
            {
                //高橋君の処理
                if(numT % 2 == 1) //numTが奇数のとき
                {
                    numT--;
                    
                }
                //半分あげる
                int exchange = numT / 2;
                numT -= exchange;
                numA += exchange;
                
            }
            else
            {
                //青木君の処理
                 if(numA % 2 == 1) //numAが奇数のとき
                {
                    numA--;
                }
                
                //半分あげる
                int exchange = numA / 2;
                numA -= exchange;
                numT += exchange;
            }
            
        }
        Console.WriteLine(numT + " " + numA);
        
    }
}