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.Collections.Generic;

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

        string str = Console.ReadLine();

        string[] strer = new string[3];

        strer = str.Split(' ');

        long a = long.Parse(strer[0]);
        long b = long.Parse(strer[1]);
        long k = long.Parse(strer[2]);
        long count = 0;

        while (true)
        {
            if (a % 2 != 0)
            {
                a -= 1;
            }
            b = b + a / 2;
            a = a / 2;
            count++;
            if (count == k)
            {
                break;
            }

            if (b % 2 != 0)
            {
                b -= 1;
            }
            a = a + b / 2;
            b = b / 2;
            count++;
            if (count == k)
            {
                break;
            }
        }
           
        Console.WriteLine($"{a} {b}");


    }
}