In some other world, today is the day before Christmas Eve.

Mr. Takaha is buying N items at a department store. The regular price of the $i-th item (1 \leq i \leq N)$ is p_i yen (the currency of Japan).

He has a discount coupon, and can buy one item with the highest price for half the regular price. The remaining N-1 items cost their regular prices. What is the total amount he will pay?

Constraints

• $2 \leq N \leq 10$
• $100 \leq p_i \leq 10000$
• p_i is an even number.

Input

Input is given from Standard Input in the following format:

N
p_1
p_2
:
p_N

Output

Print the total amount Mr. Takaha will pay.

Examples

Input

3
4980
7980
6980

Output

15950

Input

4
4320
4320
4320
4320

Output

15120

见题面

见题面