101240: [AtCoder]ABC124 A - Buttons

Memory Limit:256 MB Time Limit:2 S
Judge Style:Text Compare Creator:
Submit:0 Solved:0

Description

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

Input

题意翻译

有两个按钮,一个大小 $A$,一个大小 $B$。 当您按下一个大小为 $X$ 的按钮时,您会得到 $X$ 个硬币,并且该按钮的大小减小了 $1$。 您将按两次按钮。 在这里,您可以按同一按钮两次,或按两个按钮一次。 最多可以得到几枚硬币?

加入题单

上一题 下一题 算法标签: