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;

class Program
{
    public static void Main()
    {
        
        var line = Console.ReadLine().Split(' ').Select(x => int.Parse(x)).ToArray();
        var A = line[0];
        var B = line[1];

        int ans = 0;

        for (int i = 0; i < 2; i++)
        {
            if(A < B)
            {
                ans = ans + B;
                B = B - 1;

            }
            else
            {
                ans = ans + A;
                A = A - 1;
                
            }
        }

            Console.WriteLine(ans);
    }
}