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)

package abc.abc124.a;

import java.util.Scanner;

public class Main {
	public static void main(String[] args) {
		Scanner s = new Scanner(System.in);
		int A = s.nextInt();
		int B = s.nextInt();
		int ans = max(A, B);
		System.out.println(ans);
	}

	public static int max(int A, int B) {
		int ans = A;

		if (B > ans) {
			ans = B;
			B = B - 1;
		} else {
			A = A - 1;
		}

		if (A >= B) {
			ans += A;
		} else {
			ans += B;
		}
		return ans;
	}
}