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

inputFormat

input are integers.

Input

Input is given from Standard Input in the following format:

X Y

outputFormat

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

样例

81 58

110