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-mcs 6.8.0.105) (judge verdict: Wrong Answer)

using System;
using System.Collections.Generic;
using System.Runtime.ExceptionServices;

class Program
{
    static void Main(string[] args)
    {

        
        string[] words = Console.ReadLine().Split(' ');
        int A = int.Parse(words[0]);
        int B = int.Parse(words[1]);
        int K = int.Parse(words[2]);
        int Pass1 = 0;
        int Pass2 = 0;
        for(int i = 1;i <= K; i++)
        {
            if(A % 2 == 1)
            {
                A--;
            }
            if(B % 2 == 1)
            {
                B--;
            }
            Pass1 = A / 2;
            Pass2 = B / 2;
            A = A/2 + Pass2;
            B = 2 + Pass1;
            
        }
        Console.WriteLine(A + " " + B);
        



    }
}