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 Java8 (OpenJDK 1.8.0) (judge verdict: Accepted)


import java.util.ArrayList;
import java.util.List;
import java.util.Scanner;

public class Main {
    public static long process(TestCase testCase) {
        final List<Integer> p = testCase.p;
        p.sort((a, b) -> Integer.compare(b, a));

        return p.stream().mapToInt(i -> i).sum() - (p.get(0) / 2);
    }

    // Util func

    public static void main(String[] args) {
        TestCase testCase = readFromInput();

        final long result = process(testCase);

        output(result);
    }

    private static TestCase readFromInput() {
        Scanner sc = new Scanner(System.in);

        int N = sc.nextInt();
        List<Integer> p = new ArrayList<>();
        for (int i = 0; i < N; ++i) {
            p.add(sc.nextInt());
        }

        sc.close();
        return new TestCase(N, p);
    }

    private static void output(long result) {
        System.out.println(result);
    }

    public static class TestCase {
        final int N;
        final List<Integer> p;

        public TestCase(int N, List<Integer> p) {
            this.N = N;
            this.p = p;
        }
    }
}