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: Wrong Answer)

#include <stdio.h>

int main(void){
  int all_mt, hotel_num = 0, max_mt = 0;
  scanf("%d\n", &all_mt);
  int mt_num[all_mt];
  mt_num[0] = 0;
  for(int i=1; i <= all_mt; i++){
    scanf("%d ", &mt_num[i]);
    if(max_mt <= mt_num[i]){
      max_mt = mt_num[i];
    }
    if(mt_num[i-1] <= mt_num[i] && mt_num[1] <= mt_num[i] && max_mt <= mt_num[i]){
      hotel_num++;
    }
  }
  printf("%d\n", hotel_num);
  return 0;
}