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 Go (1.6) (judge verdict: Accepted)

package main

import (
	"bufio"
	"fmt"
	basicIO "io"
	"os"
	"strconv"
)

func main() {
	protagonist(os.Stdin, os.Stdout)
}

func protagonist(r basicIO.Reader, w basicIO.Writer) {
	io := NewIO(r, w)
	A, _ := io.nextInt()
	B, _ := io.nextInt()

	var result int
	if A == B {
		result = A + B
	} else if A < B {
		result = B + B - 1
	} else {
		result = A + A - 1
	}
	io.PutInt(result)
}

type IO struct {
	Scanner *bufio.Scanner
	Writer  basicIO.Writer
}

func NewIO(r basicIO.Reader, w basicIO.Writer) *IO {
	s := bufio.NewScanner(r)
	s.Split(bufio.ScanWords)
	return &IO{
		Scanner: s,
		Writer:  w,
	}
}

func (io *IO) nextString() string {
	io.Scanner.Scan()
	return io.Scanner.Text()
}

func (io *IO) nextInt() (int, error) {
	io.Scanner.Scan()
	i, err := strconv.Atoi(io.Scanner.Text())
	return i, err
}

func (io *IO) PutInt(v int) {
	fmt.Fprintf(io.Writer, "%d\n", v)
}

func (io *IO) PutString(s string) {
	fmt.Fprintf(io.Writer, "%s\n", s)
}