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++14 (Clang 3.8.0) (judge verdict: Wrong Answer)

#include <iostream>
#include <math.h>
#include <algorithm>
#include <iomanip>
using namespace std;

int main()
{
    int m,n,o,i,j,k;
    //float f,g,h;
    //char c,d;
    //string a;
    cin>>m>>n;
    //cin>>m>>c>>n>>d>>i;
    //cin>>f>>g;
    //cin>>c;
    if(m==n) cout<<m+n;
    else if(m>n+1) cout<<m+m-1;
    else if(n>m+1) cout<<n+n-1;;
    return 0;
}