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 Julia (0.5.0) (judge verdict: Accepted)

const lines=readlines(open("/dev/fd/0"))
input()=shift!(lines)
int(s::String)=parse(Int32,s)
intSub(s::SubString{String})=parse(Int32,s)
intLine()=map(intSub,split(input()))
function main()
    a,b=intLine()
    x=0
    for i in 1:2
        if a>b
            x+=a
            a-=1
        else
            x+=b
            b-=1
        end
    end
    println(x)
end
main()