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 Java (OpenJDK 11.0.6) (judge verdict: Wrong Answer)

import java.util.Scanner;

public class Main{
  public static void main(String[] args){
    Scanner sc = new Scanner(System.in);
    int ans;
    char[] nums = sc.nextLine().toCharArray();
    int numLength = nums.length;
    int bw = 0;
    int wb = 0;
    for(int cnt = 0; cnt < numLength ; cnt++){
      if( nums[cnt] == ((cnt % 2 == 0)? '0': '1' )){
        bw++;
      }
      else {
        wb++; 
      }
    }
    ans = Math.min(bw,wb);
    System.out.println(ans);
    sc.close();
  }
}