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++14 (GCC 5.4.1) (judge verdict: Accepted)

#include <iostream>
#include <algorithm>
#include <vector>
#include <string>
#include <complex>
#include <stack>
#include <queue>
#include <list>
#include <unordered_map>
#include <utility>
#include <map>
#include <set>
#include <numeric>
using namespace std;

int main(){
    long long int a, b, k;
    
    cin >> a >> b >> k;
    
    for(long long int i = 0; i < k; i++){
        if(i%2 == 0){
            if(a%2 == 1){
                a -= 1;
                b += a/2;
                a /= 2;
            }else{
                b += a/2;
                a /= 2;
            }
        }else{
            if(b%2 == 1){
                b -= 1;
                a += b/2;
                b /= 2;
            }else{
                a += b/2;
                b /= 2;
            }
        }
    }
    
    cout << a << " " << b << endl;
}