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 C# (Mono 4.6.2.0) (judge verdict: Accepted)

using System;

class Program {
    static void Main (string[] args) {
        var str = Console.ReadLine ().Split (' ');
        int A = int.Parse (str[0]);
        int B = int.Parse (str[1]);
        int ans = 0;

        for (var i = 0; i < 2; i++) {
            if (A > B) {
                ans = ans + A;
                A = A - 1;
            } else {
                ans = ans + B;
                B = B - 1;
            }
        }
        Console.WriteLine (ans);
    }
}