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;

namespace abc124A
{
    class MainClass
    {
        public static void Main(string[] args)
        {
            string[] str = Console.ReadLine().Split();
            int A = int.Parse(str[0]);
            int B = int.Parse(str[1]);
            int C = A + (A - 1);
            int D = B + (B - 1);
            int E = A + B;
            if (C < D)
                C = D;
            if (C < E)
                C = E;
            Console.WriteLine(C);
        }
    }
}