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(){
  int N;
  scanf("%d",&N);
  int i;
  int H[20];
  for(i=0;i<N;i++){
    scanf("%d ",&H[i]);
  }
  
  int flag=0,cnt=0;
  
  int j;
  for(i=1;i<N;i++){
    for(j=0;j<i;j++){
      if(H[i]>=H[j]) flag++;
      else{
        flag=0;
        break;
      }
    }
    if(flag>0) cnt++;
  }
  printf("%d",cnt+1);
  return 0;
}