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 (Clang 3.8.0) (judge verdict: Wrong Answer)

#include <stdio.h>
#include <stdlib.h>


int main(){
    int N;
    scanf("%d", &N);

    int H[N], i, j,  ans = 0, lf;

    for (i=0; i<N; i++){
        scanf("%d", &H[i]);
    }

    for (i=0; i<N; i++){
        lf =1;
        for (j=0; j<N; j++){
            if (j >= i) break;
            if (H[j] > H[i]){
                lf = 0;
                break;
            }
        }
        if (lf == 1) ans++;
    }

    printf("%d",  ans);

    return 0;
}