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)


public class Main {
	public static void main(String args[]) {
		java.util.Scanner sc = new java.util.Scanner(System.in);
		int A = sc.nextInt();
		int B = sc.nextInt();

		int result = 0;

		if (A > B) {
			result += A;
			A--;
		} else {
			result += B;
			B--;
		}

		if (A > B) {
			result += A;
			A--;
		} else {
			result += B;
			B--;
		}

		System.out.println(result);
	}
}