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;
    int i,j,k;
    int cnt=1;
    int num=0;

    scanf("%d",&n);
    int array[n];

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

    for(j=0;j<n;j++){
        for(k=0;k<j;k++){
            if(array[j]<array[k]){
                break;
                }else{
                    num++;
                    if(num==j){
                        cnt++;
                        //printf("j:%d k:%d\n",j,k);
                        num=0;
                    }
                }
        }
    }

    printf("%d\n",cnt);

    return 0;
}