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 Scala (2.11.7) (judge verdict: Accepted)

import scala.math.{min,max}

object Main {
    def main(args: Array[String]) {
        var input = io.Source.stdin.getLines().mkString("\n");
        var ss = input.split('\n').toList;
        val xs = to_array_int(ss(0));
        val a = xs(0);
        val b = xs(1);
        val res = max(max(a+a-1,b+b-1),a+b);
        println(res);
    }
    def to_array_int(s: String): Array[Int] = {
        return s.split(' ').map(_.toInt).toArray;
    }
}