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;

public static class Program
{
    public static void Main(string[] args)
    {
        var result = 0;
        var vals = Console.ReadLine().Split().Select(int.Parse).ToArray();
        for (int i = 0; i < 2; i++)
        {
            if (vals[0] > vals[1])
            {
                result += vals[0];
                vals[0]--;
            }
            else if (vals[1] > vals[0])
            {
                result += vals[1];
                vals[1]--;
            }
            else
            {
                result += vals[0];
                vals[0]--;
            }
        }
        Console.WriteLine(result);
    }
}