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

    int x = a + (a-1);
    int y = a + b;
    int z = b + (b-1);

    int max;

    if( x >= y)
    {
        max = x;
    }
    else
    {
        max = y;
    }
    
    if(max <= z)
    {
        max = z;
    }

    printf("%d",max );

    return 0;

}