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 Rust (1.15.1) (judge verdict: Accepted)

fn read_nums() -> Vec<i32> {
  let mut buf = String::new();
  std::io::stdin().read_line(&mut buf);
  buf.split_whitespace().map(|x| x.parse::<i32>().unwrap()).collect()
}

fn main() {
  let nums = read_nums();
  let a = nums[0];
  let b = nums[1];
  let mut r = 0;
  if a == b {
    r = a * 2;
  } else if a > b {
    r = a * 2 - 1;
  } else {
    r = b * 2 - 1;
  }
  println!("{}", r);
}