Problem:
Score : 100 points

Problem Statement

There are two buttons, one of size A and one of size B.

When you press a button of size X, you get X coins and the size of that button decreases by 1.

You will press a button twice. Here, you can press the same button twice, or press both buttons once.

At most how many coins can you get?

Constraints

All values in input are integers.

3 \leq A, B \leq 20

Input

Input is given from Standard Input in the following format:

A B

Output

Print the maximum number of coins you can get.

Sample Input 1

5 3

Sample Output 1

9

You can get 5 + 4 = 9 coins by pressing the button of size 5 twice, and this is the maximum result.

Sample Input 2

3 4

Sample Output 2

7

Sample Input 3

6 6

Sample Output 3

12

Solution in C# (Mono 4.6.2.0) (judge verdict: Accepted)

using System;
using System.Collections.Generic;
using System.Linq;
using System.IO ;


namespace AtCodeeeer
{
    class AtCOOOOOOOOOOOder
    {
        static void Main(string[] args)
        {
            String []s=Console.ReadLine().Split(' ');
            int A=int.Parse(s[0]);
            int B=int.Parse(s[1]);
            int X=0;
            int counter=0;
            while(counter<2){
                if(A>B){
                    X=X+A;
                    A=A-1;
                    counter=counter+1;
                }else{
                    X=X+B;
                    B=B-1;
                    counter=counter+1;
                }
            }
            Console.WriteLine(X);

                


        }
    }
}