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)

import java.io.BufferedReader;
import java.io.InputStreamReader;

public class Main {

  public static void main(String[] args) throws Exception {
    try (BufferedReader reader = new BufferedReader(new InputStreamReader(System.in))) {
      int answer = accept(reader.readLine());
      System.out.println(answer);
    }
  }

  static int accept(String line) {
    final String[] tokens = line.split(" ");
    final int a = Integer.parseInt(tokens[0]);
    final int b = Integer.parseInt(tokens[1]);
    return eval(a, b);
  }

  static int eval(int a, int b) {
    if (a == b) return a * 2;
    int max = Math.max(a, b);
    return max * 2 - 1;
  }

}