p03219 AtCoder Beginner Contest 113 - Discount Fare
There is a train going from Station A to Station B that costs X yen (the currency of Japan).

Also, there is a bus going from Station B to Station C that costs Y yen.

Joisino got a special ticket. With this ticket, she can take the bus for half the fare if she travels from Station A to Station B by train and then travels from Station B to Station C by bus.

How much does it cost to travel from Station A to Station C if she uses this ticket?

Constraints

* 1 \leq X,Y \leq 100
* Y is an even number.
* All values in input are integers.

Input

Input is given from Standard Input in the following format:


X Y


Output

If it costs x yen to travel from Station A to Station C, print x.

Examples

Input

81 58


Output

110


Input

4 54


Output

31
```python
L = list(map(int,input().split()))

print(L[0]+L[1]//2)
```