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 (GCC 5.4.1) (judge verdict: Runtime Error)

#include<stdio.h>
void main()
{
	unsigned int A, B, K;
	scanf("%d%d%d", &A, &B, &K);
	for( ; K>0 ; ){
		if( A%2!=0 ){
			A = ( A-1 )/2;
			B += A;
			K--;
			if(K==0) goto end;
			if( B%2!=0 ){
				B = ( B-1 )/2;
				A += B;
				K--;
			}else{
				B = B/2;
				A = A+B;
				K--;
				if(K==0) goto end;
			}
		}else{
			A = A/2;
			B += A;
			K--;
			if(K==0) goto end;
			if( B%2!=0 ){
				B = ( B-1 )/2;
				A += B;
				K--;
			}else{
				B = B/2;
				A = A+B;
				K--;
				if(K==0) goto end;
			}
		}
	}
	end : printf("%d %d\n", A, B);
}