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;

namespace Tenka1_Biginner_B
{
	internal class Program
	{
		public static void Main(string[] args)
		{
			string[] instr = Console.ReadLine().Split(' ');
			int a = int.Parse(instr[0]);
			int b = int.Parse(instr[1]);
			int k = int.Parse(instr[2]);
			
			
			for (int i = 0; i < k; i++) {
				if (i % 2 == 0)
				{
					if (a % 2 == 1)
					{
						a--;
					}
					
					b += a / 2;
					a -= a / 2;
				}
				
				if (i % 2 == 1)
				{
					if (b % 2 == 1)
					{
						b--;
					}
					
					a += b / 2;
					b -= b / 2;
				}
			}
			
			Console.WriteLine(a + " " + b);
		}
	}
}