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,max=0,sum=0;
	scanf("%d %d",&A,&B);
	int A1 = A + (A-1);
	int B1 = B + (B-1);
	if(A1 > B1){
		max=A1;
	}else{
		max=B1;
	}

	for(int i=A;i>=A-1;i--){
		sum=0;
		for(int j=B;j>=B-1;j--){
			sum=i+j;
			if(max<sum){
				max=sum;
			}
		}
	}
	printf("%d\n",max);
	return 0;
}