Problem:
Score : 400 points

Problem Statement

You are given N integers; the i-th of them is A_i.
Find the maximum possible sum of the absolute differences between the adjacent elements after arranging these integers in a row in any order you like.

Constraints

2 \leq N \leq 10^5

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_N

Output

Print the maximum possible sum of the absolute differences between the adjacent elements after arranging the given integers in a row in any order you like.

Sample Input 1

5
6
8
1
2
3

Sample Output 1

21

When the integers are arranged as 3,8,1,6,2, the sum of the absolute differences between the adjacent elements is |3 - 8| + |8 - 1| + |1 - 6| + |6 - 2| = 21. This is the maximum possible sum.

Sample Input 2

6
3
1
4
1
5
9

Sample Output 2

25

Sample Input 3

3
5
5
1

Sample Output 3

8

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

import java.io.InputStream;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.List;
import java.util.Scanner;

/*
 * Tenka1 Programmer Beginner Contest C "Align"
 *   https://tenka1-2018-beginner.contest.atcoder.jp/tasks/tenka1_2018_c/
 */
public class Main {

	public static void main(String[] args) {

		InputScanner in = new InputScanner(System.in);
		PrintWriter out = new PrintWriter(System.out);

		Task task = new Task();
		task.run(in, out);

		in.close();
		out.close();
	}

	static class Task {

		public void run(InputScanner in, PrintWriter out) {

			int N = in.nextInt();
			int[] A = in.nextIntArray(N);

			Arrays.sort(A);
			List<Integer> reA = new ArrayList<Integer>();
			reA.add(A[0]);

			int count = 0;
			int front = 1;
			int back = N - 1;
			boolean isAsc = false;

			while (count < N - 1) {

				if (!isAsc) {

					if (count % 2 == 0) {
						reA.add(A[back]);
						back--;
					} else {

						if (count == N - 2 && Math.abs(A[back] - reA.get(reA.size() - 1)) > Math.abs(A[back] - reA.get(0))) {
							reA.add(A[back]);
						} else {
							reA.add(0, A[back]);
							back--;
							isAsc = true;
						}
					}

				} else {

					if (count % 2 == 0) {
						reA.add(A[front]);
						front++;
					} else {
						
						if (count == N - 2 && Math.abs(A[front] - reA.get(reA.size() - 1)) > Math.abs(A[front] - reA.get(0))) {
							reA.add(A[front]);
						} else {
							reA.add(0, A[front]);
							front++;
							isAsc = false;
						}
					}

				}

				count++;
			}

			long ans = 0;
			for (int i = 0; i < reA.size() - 1; i++) {
				ans += Math.abs(reA.get(i)- reA.get(i + 1));
			}

			out.println(ans);
		}
	}

	/*
	 * extends java.util.Scanner
	 */
	static class InputScanner {

		Scanner scanner;

		public InputScanner(InputStream inputStream) {
			this.scanner = new Scanner(inputStream);
		}

		public boolean hasNext() {
			return scanner.hasNext();
		}

		public int nextInt() {
			return Integer.parseInt(scanner.next());
		}

		public long nextLong() {
			return Long.parseLong(scanner.next());
		}

		public double nextDouble() {
			return Double.parseDouble(scanner.next());
		}
		public String next() {
			return scanner.next();
		}

		public int[] nextIntArray(int n) {
			int[] ret = new int[n];
			for (int i = 0; i < n; i++) {
				ret[i] = scanner.nextInt();
			}
			return ret;
		}

		public int[][] nextIntArray(int h, int w) {
			int[][] ret = new int[h][w];
			for (int i = 0; i < h; i++) {
				for (int j = 0; j < w; j++) {
					ret[i][j] = scanner.nextInt();
				}
			}
			return ret;
		}

		public long[] nextLongArray(int n) {
			long[] ret = new long[n];
			for (int i = 0; i < n; i++) {
				ret[i] = scanner.nextLong();
			}
			return ret;
		}

		public long[][] nextlongArray(int h, int w) {
			long[][] ret = new long[h][w];
			for (int i = 0; i < h; i++) {
				for (int j = 0; j < w; j++) {
					ret[i][j] = scanner.nextLong();
				}
			}
			return ret;
		}

		public double[] nextDoubleArray(int n) {
			double[] ret = new double[n];
			for (int i = 0; i < n; i++) {
				ret[i] = scanner.nextDouble();
			}
			return ret;
		}

		public double[][] nextDoubleArray(int h, int w) {
			double[][] ret = new double[h][w];
			for (int i = 0; i < h; i++) {
				for (int j = 0; j < w; j++) {
					ret[i][j] = scanner.nextLong();
				}
			}
			return ret;
		}

		public String[] nextStringArray(int n) {
			String[] ret = new String[n];
			for (int i = 0; i < n; i++) {
				ret[i] = scanner.next();
			}
			return ret;
		}

		public String[] nextStringArray(String split) {
			String[] ret = scanner.next().split(split);
			return ret;
		}

		public String[][] nextStringArray(int h, int w) {
			String[][] ret = new String[h][w];
			for (int i = 0; i < h; i++) {
				for (int j = 0; j < w; j++) {
					ret[i][j] = scanner.next();
				}
			}
			return ret;
		}

		public String[][] nextStringArray(int h, String split) {
			String[][] ret = new String[h][];
			for (int i = 0; i < h; i++) {
				ret[i] = scanner.next().split(split);
			}
			return ret;
		}

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

	}

}