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;
	int B;

	scanf("%d", &A);
	scanf("%d", &B);     
  
    int K = A - 1;
    int J = B - 1;

    if(A + K >= A + B && A + K >= B + J){
      printf("%d",A + K);
    }
    else if(A + B >= A + K && A + B >= B + J){
      printf("%d",A + B);
    }
    else if(B + J >= A + K && B + J >= B + A){
      printf("%d",B + J);
    }
	return 0;
}