Problem:
Score : 200 points

Problem Statement

You are given an integer sequence A of length N.
Find the maximum absolute difference of two elements (with different indices) in A.

Constraints

2 \leq N \leq 100

1 \leq A_i \leq 10^9

All values in input are integers.

Input

Input is given from Standard Input in the following format:

N
A_1 A_2 ... A_N

Output

Print the maximum absolute difference of two elements (with different indices) in A.

Sample Input 1

4
1 4 6 3

Sample Output 1

5

The maximum absolute difference of two elements is A_3-A_1=6-1=5.

Sample Input 2

2
1000000000 1

Sample Output 2

999999999

Sample Input 3

5
1 1 1 1 1

Sample Output 3

0

Solution in Java8 (OpenJDK 1.8.0) (judge verdict: Accepted)

import java.util.Scanner;

public class Main {

    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        int n = sc.nextInt();
        int[] a = new int[n];

        for (int i = 0; i < n; i++) {
            a[i] = sc.nextInt();
        }

        sc.close();

        int diff = Integer.MIN_VALUE;

        for (int i = 0; i < n; i++) {
            for (int j = 0; j < n; j++) {
                int tmp = Math.abs(a[i] - a[j]);
                if (diff < tmp) {
                    diff = tmp;
                }
            }
        }

        System.out.println(diff);

    }

    private static long gcd(long m, long n) {
        if (m < n)
            return gcd(n, m);
        if (n == 0)
            return m;
        return gcd(n, m % n);
    }

    private static long lcm(long m, long n) {
        return m * n / gcd(m, n);
    }
}