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 Java7 (OpenJDK 1.7.0) (judge verdict: Wrong Answer)

import java.util.Scanner;
public class Main {
	public static void main(String[]args) {
		Scanner teclado = new Scanner (System.in);
		int a;
		int b;
		a=teclado.nextInt();
		b=teclado.nextInt();
		
		
		if(a+(b-1) > a*a && a+(b-1) > b*b) {
			System.out.println((a+(b-1)));
		}else if(a+(b-1) < a*a && a*a > b*b) {
			System.out.println(a*a);			
		}else {
			System.out.println(b*b);
		}
	}
	
}