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: Runtime Error)

import java.util.ArrayList;
import java.util.List;
import java.util.Scanner;

public class Main {
	public static void ain(String[] args) {

		Scanner sc = new Scanner(System.in);
		int num = sc.nextInt();
		int lookAble = 1;
		String str = sc.next();
		List<Integer> array = new ArrayList<Integer>();

		for(int i = 0;i < num; i++) {
			array.add(Integer.valueOf(str.charAt(i)));
		}

		int max = 0;
		for(int j = 0; j < num ;j++) {
			if((int)array.get(j) > max);
				lookAble += 1;
		}

		System.out.println(lookAble);
	}
}