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 Java (OpenJDK 11.0.6) (judge verdict: Runtime Error)

import java.util.Scanner;

public class Main {

	public static void main(String[] args) {
		// TODO Auto-generated method stub
Scanner SC = new Scanner(System.in);
int N = SC.nextInt();
int H [] = new int[N + 1];
for(int i = 0; i < N; i++) {
    H[i] = SC.nextInt();
}
int counter = 0;
for(int i = 0; i < N; i++) {
	boolean cso = true;
	for(int j = 0; j < N; i++) {
		if(H[j] > H[i]) {
			cso = false;
		}
	}
	if(cso) {
		counter++;
	}
}
System.out.println(counter);
	}

}