Problem:
Score : 200 points

Problem Statement

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.

Sample Input 1

3
4980
7980
6980

Sample Output 1

15950

The 7980-yen item gets the discount and the total is 4980 + 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 = 15120 yen.

Solution in Scala (2.11.7) (judge verdict: Accepted)

import scala.io.StdIn.readLine

object Main {

  def main(args: Array[String]): Unit = {

    val n: Int = readLine().toInt
    val ps: Vector[Int] = (1 to n).map(_ => readLine().toInt).toVector
    val ans = sum(ps) - max(ps) / 2
    println(ans)

  }

  def sum(v: Vector[Int]): Int =
    v.foldLeft(0)((ans, x) => ans + x)

  def max(v: Vector[Int]): Int =
    v.foldLeft(v(1))((ans, x) => ans max x)

}