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 Go (1.6) (judge verdict: Wrong Answer)

package main

import (
	"fmt"
)

func main() {
	var a, b int
	fmt.Scan(&a, &b)

	result := 0
	if a > b {
		a--
		if a > b {
			result = 2*a + 1
		} else {
			result = a + b
		}
	} else if a < b {
		b--
		if a > b {
			result = b + a
		} else {
			result = 2*b + 1
		}
	} else {
		result = 2 * a
	}
	fmt.Println(result)

}