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 static System.Console;

namespace AtCorder
{
  class Program
  {
    static void Main()
    {
      CheckCookies();
    }

    static void CheckCookies()
    {
      string[] charaList = ReadLine().Split(' ');
      int A,B,K;
      A = int.Parse(charaList[0]);
      B = int.Parse(charaList[1]);
      K = int.Parse(charaList[2]);

      for(int i = 0; i < K; i++)
      {
        if(i%2 == 0)
        {
          if(A%2 == 1) A--;
          B += A / 2;
          A = A / 2;
        } 
        else
        {
          if(B%2 == 1) B--;
          A += B / 2;
          B = B / 2;
        } 
      }
      WriteLine(A + " " + B);
    }
  }
}