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 N,cnt,i,j;
      int H[100];
      scanf("%d\n",&N);
      for(i=0;i<N;i++){
        scanf("%d\n",&H[i]);
      }
      cnt=0;
      for(i=N-1;i>=0;i--){
        for(j=i-1;j>=0;j--){
          if(H[i]<=H[j]){
            break;
          }
          cnt++;
        }
      }
      printf("%d\n",cnt);
    }