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)

use std::io::prelude::*;
use std::str::FromStr;

fn main() {
    let stdin_ = std::io::stdin();
    let stdout_ = std::io::stdout();
    let mut stdin = stdin_.lock();
    let mut stdout = stdout_.lock();

    let mut buffer = String::new();
    stdin.read_line(&mut buffer).unwrap();
    let mut v = buffer.split_whitespace().map(|s| u64::from_str(s).unwrap());
    let a = v.next().unwrap();
    let b = v.next().unwrap();

    let mut ans = std::cmp::max(a + a - 1, a + b);
    ans = std::cmp::max(ans, b + b - 1);

    write!(stdout, "{}\n", ans).unwrap();
}