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;
using System.Collections.Generic;
using System.Linq;
using static System.Console;
using static System.Math;
 
public class Hello{
    public static void Main(){
        int[] read= inta();
        int ans = 0;
        if(read[0] >=read[1]){
            ans+=read[0];
            read[0]--;
        }else{
            ans+=read[1];
            read[1]--;
        }
        if(read[0] >=read[1]){
            WriteLine(ans+read[0]);
        }else{
            WriteLine(ans+read[1]);
        }
    
    }
    //各種読取
    static string rstr(){
        return ReadLine();
    }
    static int rint(){
        return int.Parse(ReadLine());
    }
    static long rlong(){
        return long.Parse(ReadLine());
    }
    static string[] stra(){
        return ReadLine().Split(' ');
    }
    static int[] inta(){
        string[] read_str_array = ReadLine().Split(' ');
        int[] return_int_array = new int[read_str_array.Length];
        for(int countup_i=0;countup_i<read_str_array.Length;countup_i++){
            return_int_array[countup_i] = int.Parse(read_str_array[countup_i]);
        }
        return return_int_array;
    }
    static int[,] inta2(int num_array,int in_array){
        int[,] int_array2 = new int[num_array,in_array];
        for(int i=0;i<num_array;i++){
            int[] temp_array = inta();
            for(int j=0;j<in_array;j++){
                int_array2[i,j] = temp_array[j];
            }
        }
        return int_array2;
    }
    static long[] longa(){
        string[] read_str_array = ReadLine().Split(' ');
        long[] return_long_array = new long[read_str_array.Length];
        for(long countup_i=0;countup_i<read_str_array.Length;countup_i++){
            return_long_array[countup_i] = long.Parse(read_str_array[countup_i]);
        }
        return return_long_array;
    }
    static double[] doublea(){
        string[] read_str_array = ReadLine().Split(' ');
        double[] return_double_array = new double[read_str_array.Length];
        for(long countup_i=0;countup_i<read_str_array.Length;countup_i++){
            return_double_array[countup_i] = long.Parse(read_str_array[countup_i]);
        }
        return return_double_array;
    }
    // A/B小数点以下切上
    static long divideup(long divided,long divid){
        long temp_divide = divided/divid;
        if(divided % divid > 0){
            temp_divide++;
        }
        return temp_divide;
    }
    static long GCD(long a,long b){
        if(a < b){
            long temp = a;
            a = b;
            b = temp;
        }
        if(a % b == 0){ return b; }
        else{
            long temp = b;
            b = a%b;
            a = temp;
            return GCD(a,b);
        }
    }
    static long LCM(long a,long b){
        return a * b / GCD(a,b);
    }
}
//知見
// (string) hogestr -> (char[]) hoge
    // char hoge = hogestr.ToCharArray();
// (char[]) hoge -> (string) hogestr
    // string hoge = new string(hoge);
// Hashtable ×  Dictionary ○
// Dictionary hoge<string,int>
    // hoge.ContainsKey(string) -> return boolean
    // hoge[string] -> return int
    // hoge[int] -> CE
// Dictionary hoge<int1,int2>
    // hoge<int1,int2>: hoge[int1] -> return int2
    // KeyValuePair<int,int> k <-> k.Key == int1 / k.Value == int2
// SortedDictionary() > SortedList() ???
// キュー　-> 幅優先 ???
// スタック -> 深さ優先 ???