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: Runtime Error)

using System;
using static System.Console;

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

    static void CheckCookies()
    {
      var count_a = int.Parse(ReadLine());
      var count_b = int.Parse(ReadLine());
      var playCount = int.Parse(ReadLine());

      for(int i = 0; i < playCount; i++)
      {
        int c = 0;

        if(i%2 == 0)
        {
          c = count_a - 1;
          count_a = count_a % 2 == 0 ? count_a / 2 : c / 2;
          count_b = count_b + count_a;
        } 
        else
        {
          c = count_b - 1;
          count_b = count_b % 2 == 0 ? count_b / 2 : c / 2;
          count_a = count_a + count_b;
        } 
      }
      WriteLine($"{count_a} {count_b}");
    }
  }
}