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 Scala (2.11.7) (judge verdict: Accepted)

import scala.io.StdIn._

object Main{
  def solve(a : Int, b : Int, n : Int):(Int, Int) = {
    var ansA = a
    var ansB = b
    for(i <- 1 to n){
      if((i & 1) == 0){
        ansB /= 2
        ansA += ansB
      }
      else{
        ansA /= 2
        ansB += ansA
      }
    }
    (ansA, ansB)
  }

  def main(arg : Array[String]){
    val input = readLine().split(" ").map(_.toInt)
    val (a, b) : (Int, Int) = solve(input(0), input(1), input(2))
    println(f"$a $b")
  }
}