Problem:
Score: 200 points

Problem Statement

There are three positive integers A, B and C written on a blackboard. E869120 performs the following operation K times:

Choose one integer written on the blackboard and let the chosen integer be n. Replace the chosen integer with 2n.

What is the largest possible sum of the integers written on the blackboard after K operations?

Constraints

A, B and C are integers between 1 and 50 (inclusive).

K is an integer between 1 and 10 (inclusive).

Input

Input is given from Standard Input in the following format:

A B C
K

Output

Print the largest possible sum of the integers written on the blackboard after K operations by E869220.

Sample Input 1

5 3 11
1

Sample Output 1

30

In this sample, 5, 3, 11 are initially written on the blackboard, and E869120 can perform the operation once.

There are three choices:

Double 5: The integers written on the board after the operation are 10, 3, 11.

Double 3: The integers written on the board after the operation are 5, 6, 11.

Double 11: The integers written on the board after the operation are 5, 3, 22.

If he chooses 3., the sum of the integers written on the board afterwards is 5 + 3 + 22 = 30, which is the largest among 1. through 3.

Sample Input 2

3 3 4
2

Sample Output 2

22

E869120 can perform the operation twice. The sum of the integers eventually written on the blackboard is maximized as follows:

First, double 4. The integers written on the board are now 3, 3, 8.

Next, double 8. The integers written on the board are now 3, 3, 16.

Then, the sum of the integers eventually written on the blackboard is 3 + 3 + 16 = 22.

Solution in C# (.NET Core 3.1.201) (judge verdict: Accepted)

using System;
using System.Numerics;
using System.Linq;
using System.Collections.Generic;
using System.Text;
using System.Collections;

namespace debug
{
    class main
    {
        static void Main(string[] args)
        {
            //問題クラスを展開
            ProgramB a = new ProgramB();
            a.main();//実行する

        }

    }

    //ABC096
    class ProgramA
    {
        public void main()
        {
            //入力
            string[] s = Console.ReadLine().Split(' ');
            int a = int.Parse(s[0]);
            int b = int.Parse(s[1]);


            if (a<= b)
                Console.WriteLine(a);
            else
                Console.WriteLine(a-1);

        }
    }

    class ProgramB
    {
        public void main()
        {
            //入力
            string[] s = Console.ReadLine().Split(' ');

            int[] num = new int[3];

            for (int i = 0; i < 3; i++)
                num[i] = int.Parse(s[i]);

            Array.Sort(num);

            int k = int.Parse(Console.ReadLine());

            Console.WriteLine(num[0]+num[1]+num[2] * Math.Pow(2,k));
        }

        
    }

    class ProgramC
    {
        public void main()
        {

            //入力
            string s = Console.ReadLine();
            int k = int.Parse(Console.ReadLine());

            List<string> ans = new List<string>();

            //kが5文字以下が答えの候補なので入れて考えてみる
            for(int j = 1; j <= 5;j++)
                for (int i = 0;i < s.Length + 1 - j;i++)
                {
                    if(!ans.Contains(s.Substring(i, j)))
                        ans.Add(s.Substring(i, j));
                }
            
            //ソートする
            ans.Sort();

            //答え出力
            Console.WriteLine(ans[k -1]);

        }

        
    }



    class ProgramD
    {
        public void main()
        {

            //入力
            int n = int.Parse(Console.ReadLine());

            List<int> a = new List<int>(10000);

            for (int i = 0; i < 10000; i++)
                a.Add(i + 2);

            //10000までの素数を出す
            for(int i = 2;i <= Math.Sqrt(10000);i++)
            {
                List<int> t = new List<int>(10000);
                foreach (var s in a)
                {
                    if (s % i == 0 && s / i != 1)
                        t.Add(s);
                }

                foreach (var s in t)
                {
                    a.Remove(s);
                }


            }

            //5で割ったあまりが1だけのものを出す
            int count = 0;
            foreach (var s in a)
            {
                if (s % 5 == 1)
                {
                    Console.Write(s + " ");
                    count++;
                }

                if (count == n)
                    break;
            }
            
        }
    }

    


}