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.io.*;
import java.util.*;


public class Main {

    public static void main(String[] args) throws IOException {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        InputReader in = new InputReader(inputStream);
        InputReader.OutputWriter out = new InputReader.OutputWriter(outputStream);


        int n = in.nextInt();
        int [] a = new int[n];
        int max = Integer.MIN_VALUE;
        for (int i = 0; i < a.length; i++) {
            a[i] = in.nextInt();
            max = Math.max(max,a[i]);
        }
        int sum = 0;
        boolean found = false;
        for (int i = 0; i < a.length; i++) {
            if(a[i] == max && !found) {
                found = true;
                sum+=a[i]/2;
            }
            else {
                sum+=a[i];
            }
        }
        out.println(sum);
        out.flush();

    }
    static boolean check(char [] ca,char [] cb) {
        for (char c = 'a';c<='z';c++) {
            HashSet<Character> set = new HashSet<>();
            for (int i = 0; i < ca.length; i++) {
                if(ca[i] == c) {
                    set.add(cb[i]);
                }
                if(set.size() > 1) {
                    return false;
                }
            }
        }
        return  true;
    }
    private static boolean check(LinkedHashMap<Character,Integer> m1,LinkedHashMap<Character,Integer> m2) {
        if(m1.size()!=m2.size()) return false;
        Set<Map.Entry<Character,Integer>> s = m2.entrySet();
        Iterator<Map.Entry<Character,Integer>> it = s.iterator();
        for(Map.Entry<Character,Integer> m : m1.entrySet()) {
            Map.Entry<Character,Integer> next = it.next();
            if(m.getKey()!=next.getKey()) return false;
            else {
                if(m.getValue() < next.getValue()) return false;
                else {
                    if(m.getValue() > next.getValue()) {
                        if(m.getValue() < 3) return false;
                    }
                }
            }
        }
        return true;
    }
}

class Envelope {
    private int width;
    private int height;

    public int getHeight() {
        return height;
    }

    public int getWidth() {
        return width;
    }

    public Envelope(int width,int height) {
        this.width = width;
        this.height = height;
    }

    @Override
    public String toString() {
        return width + " " + height;
    }
}

class InputReader extends BufferedReader {
    StringTokenizer tokenizer;

    public InputReader(InputStream inputStream) {
        super(new InputStreamReader(inputStream), 32768);
    }

    public InputReader(String filename) {
        super(new InputStreamReader(Thread.currentThread().getContextClassLoader().getResourceAsStream(filename)));
    }

    public String next() {
        while (tokenizer == null || !tokenizer.hasMoreTokens()) {
            try {
                tokenizer = new StringTokenizer(readLine());
            } catch (IOException e) {
                throw new RuntimeException();
            }
        }
        return tokenizer.nextToken();
    }

    public Integer nextInt() {return Integer.valueOf(next());}
    public Long nextLong() {return  Long.valueOf(next());}
    public Double nextDouble() {return Double.valueOf(next());}

    static class OutputWriter extends PrintWriter {
        public OutputWriter(OutputStream outputStream) {
            super(outputStream);
        }

        public OutputWriter(Writer writer) {
            super(writer);
        }

        public OutputWriter(String filename) throws FileNotFoundException {
            super(filename);
        }

        public void close() {
            super.close();
        }
    }
}