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 (GCC 5.4.1) (judge verdict: Accepted)

#include<stdio.h>


void pressbutten(int A,int B) {
	int sum=0;
	if (A >= B) {
		sum += A;
		A--;
		if (A > B) {
			sum += A;

		}
		else
			sum += B;
	}
	else {
	
		sum += B;
		B--;
		if (B > A) {
			sum += B;

		}
		else
			sum += A;
	}

	printf("%d",sum);
}

int main() {
	int a, b;
	scanf("%d %d",&a,&b);
	pressbutten(a,b);

	return 0;
}