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: Accepted)

public class Hello{
    public static void Main(){
        string[] str = System.Console.ReadLine().Split(' ');
        //var[] a = int.Parse(str.Split(' '));
        int[] a = new int[3];
        for(int i=0; i<3; i++){
            a[i] = int.Parse(str[i]);
            //System.Console.WriteLine(str[i]);
        }
        
        for(int i=0; i<a[2]; i++){
            if(i%2==0){
                if(a[0]%2==0){
                    a[0] /=2;
                    a[1] += a[0];
                }else{
                    a[0]--;
                    a[0] /=2;
                    a[1] += a[0];
                }
                //System.Console.WriteLine(i+":"+a[0]+" "+a[1]);
            }else{
                if(a[1]%2==0){
                    a[1] /=2;
                    a[0] += a[1];
                }else{
                    a[1]--;
                    a[1] /=2;
                    a[0] += a[1];
                }
                //System.Console.WriteLine(i+":"+a[0]+" "+a[1]);
            }
        }
        System.Console.WriteLine(a[0]+" "+a[1]);
    }
}