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.io.PrintWriter;
import java.util.Arrays;
import java.util.Scanner;

public class Main  implements Runnable { //Runnableを実装する

    public static void main(String[] args) {

        new Thread(null, new Main(), "", 16 * 1024 * 1024).start(); //16MBスタックを確保して実行

    }

    public void run() {
		Scanner sc = new Scanner(System.in);
		//Scanner sc = new Scanner("1000 1000 1000 8 ");
		//int n = Integer.parseInt(sc.next());
		int x, y, z;
		int a = Integer.parseInt(sc.next());
		int b = Integer.parseInt(sc.next());
		int ans;
		if(a==b)
		{
			ans = a*2;
		}
		else
		{
			if(a>b)
			{
				ans = a*2-1;
			}
			else
			{
				ans = b*2-1;
			}
			
		}
		PrintWriter out = new PrintWriter(System.out);

		out.println(ans);
		out.flush();
	}
}