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 Java8 (OpenJDK 1.8.0) (judge verdict: Accepted)

import java.util.Scanner;
public class Main {

    public static void main(String[] args){
        Scanner sc = new Scanner(System.in);

        while (sc.hasNext()){
            int a = sc.nextInt();
            int b = sc.nextInt();
            int sum = 0;

            for (int i = 0; i < 2; i++) {
                if (a > b){
                    sum += a;
                    a--;
                }else{
                    sum += b;
                    b--;
                }
            }
            System.out.println(sum);
        }
    }
}