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()
{
    int a,b,i,x=0;

    scanf("%d %d" , &a, &b);

    for(i=0; i<2; i++)
    {
        if(a>b)
        {
            x=x+a;
            a=a-1;
            continue;
        }
        if(a<b)
        {
            x=x+b;
            b=b-1;
            continue;
        }
        if(a==b)
        {
            x=x+a;
            a=a-1;
            continue;
        }
    }

    printf("%d", x);

    return 0;

}