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.ComponentModel;
using System.Linq;
using System.Text;
using static System.Console;

namespace ABC124A
{
    static class Program
    {
        static void Main(string[] args)
        {
            var a = ReadLine().SplitTryParseToList<int>();
            int b = Math.Max(a[0], a[1]);
            b += a[0] > a[1] ? Math.Max(b - 1, a[1]) : Math.Max(a[0], b - 1);
            WriteLine(b);


        }

        public static T TryParse<T>(this String input)
        {
            try
            {
                var converter = TypeDescriptor.GetConverter(typeof(T));
                if (converter != null)
                {
                    return (T)converter.ConvertFromString(input);
                }
                else
                {
                    throw new InvalidCastException("");
                }
            }
            catch
            {
                throw new InvalidCastException(typeof(T) + " is not supported.");
            }
        }

        public static List<T> SplitTryParseToList<T>(this String input)
        {
            return input.Split().Select(n => n.TryParse<T>()).ToList();
        }

        public static List<T> ListSwap<T>(this List<T> list, Int32 index1, Int32 index2)
        {
            var t = list[index1];
            list[index1] = list[index2];
            list[index2] = t;
            return list;
        }

        public static List<Tuple<T, int>> DuplicateCount<T>(this IEnumerable<T> list)
        {
            return list
                .GroupBy(i => i)
                .Where(g => g.Any())
                .Select(g => Tuple.Create(g.Key, g.Count()))
                .ToList();
        }
        public static List<Tuple<T, int>> DuplicateSort<T>(this IEnumerable<Tuple<T, int>> list)
        {
            return list.OrderByDescending((x) => x.Item2).ToList();
        }
        public static List<T> ReadLineOne<T>(int n)
        {
            var list = new List<T>();
            foreach (var i in Enumerable.Range(1, n))
            {
                list.Add(Console.ReadLine().TryParse<T>());
            }
            return list;
        }
        public static void PrintAll<T>(this IEnumerable<T> list)
        {
            foreach (var i in list)
            {
                Console.Write($"{i} ");
            }

            Console.WriteLine();
        }
    }
}