#abc115b. [abc115_b]Christmas Eve Eve

[abc115_b]Christmas Eve Eve

Problem Statement

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

Mr. Takaha is buying NN items at a department store. The regular price of the ii-th item (1leqileqN)(1 \\leq i \\leq N) is pip_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 N1N-1 items cost their regular prices. What is the total amount he will pay?

Constraints

  • 2leqNleq102 \\leq N \\leq 10
  • 100leqpileq10000100 \\leq p_i \\leq 10000
  • pip_i is an even number.

Input

Input is given from Standard Input in the following format:

NN p1p_1 p2p_2 :: pNp_N

Output

Print the total amount Mr. Takaha will pay.


Sample Input 1

3
4980
7980
6980

Sample Output 1

15950

The 79807980-yen item gets the discount and the total is 4980+7980/2+6980=159504980 + 7980 / 2 + 6980 = 15950 yen.

Note that outputs such as 15950.0 will be judged as Wrong Answer.


Sample Input 2

4
4320
4320
4320
4320

Sample Output 2

15120

Only one of the four items gets the discount and the total is 4320/2+4320+4320+4320=151204320 / 2 + 4320 + 4320 + 4320 = 15120 yen.