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)

//a.c A-Buttons
#include<stdio.h>

int max(int a,int b,int c){
    int max = a;
    if(max<b){
        max = b;
    }
    if(max<c){
        max = c;
    }
    return max;
}

int main(void){
    int a,b;
    scanf("%d %d",&a,&b);
    int x1=0,x2=0,x3=0,ans=0;
    x1 = a + (a-1);
    x2 = a + b;
    x3 = b + (b-1);
    ans = max(x1,x2,x3);
    printf("%d\n",ans);
    return 0;
}