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 Ruby (2.3.3) (judge verdict: Accepted)

inputs = readlines

input=[]
for i in 1..inputs.size do
    input.push(inputs[i-1].split)
    input[i-1].map!(&:to_i)
end

a = input[0][0]
b = input[0][1]

coins = 0


if a > b
    coins = 2*a -1
elsif a == b
    coins = 2*a        
else
    coins = 2*b -1
end

p coins