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# (Mono 4.6.2.0) (judge verdict: Wrong Answer)

using System;
namespace Sample
{
	class test
    {
    	static void Main()
        {
          	int ans = 0;
        	string[] a = Console.ReadLine().Split(' ');
        	int A = int.Parse(a[0]);
          	int B = int.Parse(a[1]);
          		if(A>B)
              	{
					ans += A;
                  	A--;
                      if(A>B)
                      {
                          ans += A;
                      }
                      if(A==B)
                      {
                          ans += A;
                      }
              	}
              	if(B>A)
                {
					ans += B;
                  	B--;
                      if(A<B)
                      {
                          ans += B;
                      }
                      if(A==B)
                      {
                          ans += A;
                      }
                }
              	if(A==B)
                {
                	ans = A + B;
                }
          Console.WriteLine(ans);
        }
    }
}