10575: ABC124 —— A - Buttons
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Description
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?
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?
Input
Input is given from Standard Input in the following format:
```
$A$ $B$
```
```
$A$ $B$
```
Output
Print the maximum number of coins you can get.
Constraints
- All values in input are integers.
- $3 \leq A, B \leq 20$
- $3 \leq A, B \leq 20$
Sample 1 Input
5 3
Sample 1 Output
9
You can get 5+4=9 coins by pressing the button of size 5 twice, and this is the maximum result.
Sample 2 Input
3 4
Sample 2 Output
7
Sample 3 Input
6 6
Sample 3 Output
12