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# (.NET Core 3.1.201) (judge verdict: Accepted)

using System;
using System.Collections.Generic;
using System.Linq;
using System.Security.Cryptography;
using System.Threading;

class Program
{
    static void Main(string[] args)
    {
        var l = Console.ReadLine().Split(' ')
            .Select(x => long.Parse(x)).ToArray();
        var a = l[0]; var b = l[1]; var k = l[2];
        var f = false;
        if (k % 2 == 0) k /= 2;
        else
        {
            k = (k - 1) / 2;
            f = true;
        }
        for (var i = 0; k > i; i++)
        {
            if (a % 2 != 0)
            {
                a--;
            }
            b += a / 2;
            a -= a / 2;
            if (b % 2 != 0)
            {
                b--;
            }
            a += b / 2;
            b -= b / 2;
        }
        if (f)
        {
            if (a % 2 != 0)
            {
                a--;
            }
            b += a / 2;
            a -= a / 2;
        }
        Console.WriteLine($"{a} {b}");
    }
}