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++14 (GCC 5.4.1) (judge verdict: Wrong Answer)

#include<iostream>
#include<array>
#include<string>
using namespace std;

int main() {
	int a, b;
	cin >> a >> b;
	int ans = 0;
	
	for (int i = 0; i < 2; i++) {
		if (a <=  b) {
			ans = ans + b;
			b = b--;
		}
		else if (a > b){
		
			ans = ans + a;
			a = a--;
		}
	}
	cout << ans << endl;
}