Problem:
Score : 500 points

Problem Statement

There are N integers, A_1, A_2, ..., A_N, written on a blackboard.

We will repeat the following operation N-1 times so that we have only one integer on the blackboard.

Choose two integers x and y on the blackboard and erase these two integers. Then, write a new integer x-y.

Find the maximum possible value of the final integer on the blackboard and a sequence of operations that maximizes the final integer.

Constraints

2 \leq N \leq 10^5

-10^4 \leq A_i \leq 10^4

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 possible value M of the final integer on the blackboard, and a sequence of operations x_i, y_i that maximizes the final integer, in the format below.

Here x_i and y_i represent the integers x and y chosen in the i-th operation, respectively.

If there are multiple sequences of operations that maximize the final integer, any of them will be accepted.

M
x_1 y_1
:
x_{N-1} y_{N-1}

Sample Input 1

3
1 -1 2

Sample Output 1

4
-1 1
2 -2

If we choose x = -1 and y = 1 in the first operation, the set of integers written on the blackboard becomes (-2, 2).

Then, if we choose x = 2 and y = -2 in the second operation, the set of integers written on the blackboard becomes (4).

In this case, we have 4 as the final integer. We cannot end with a greater integer, so the answer is 4.

Sample Input 2

3
1 1 1

Sample Output 2

1
1 1
1 0

Solution in Java8 (OpenJDK 1.8.0) (judge verdict: Wrong Answer)

import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.Scanner;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 *
 * @author silviase
 */
public class Main {
    public static void main(String[] args) {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        Scanner in = new Scanner(inputStream);
        PrintWriter out = new PrintWriter(outputStream);
        CSuccessiveSubtraction solver = new CSuccessiveSubtraction();
        solver.solve(1, in, out);
        out.close();
    }

    static class CSuccessiveSubtraction {
        public void solve(int testNumber, Scanner in, PrintWriter out) {
            int n = in.nextInt();
            int[] a = new int[n];
            for (int i = 0; i < n; i++) {
                a[i] = in.nextInt();
            }

            Arrays.sort(a);
            StringBuilder sb = new StringBuilder();
            int m;
            if (a[0] >= 0) {
                // all >= 0
                int tmp = a[0];
                for (int i = 1; i < n - 1; i++) {
                    sb.append(tmp).append(" ").append(a[i]).append("\n");
                    tmp -= a[i];
                }
                sb.append(a[n - 1]).append(" ").append(tmp).append("\n");
                m = a[n - 1] - tmp;
            } else if (a[n - 1] <= 0) {
                // all <= 0
                int tmp = a[0];
                for (int i = 1; i < n; i++) {
                    sb.append(tmp).append(" ").append(a[i]).append("\n");
                    tmp -= a[i];
                }
                m = tmp;
            } else {
                m = a[n - 1];
                int tmp = a[0];
                for (int i = 1; i < n - 1; i++) {
                    if (a[i] <= 0) {
                        sb.append(m).append(" ").append(a[i]).append("\n");
                        m -= a[i];
                    } else {
                        sb.append(tmp).append(" ").append(a[i]).append("\n");
                        tmp -= a[i];
                    }
                }
                sb.append(m).append(" ").append(tmp).append("\n");
                m -= tmp;
            }

            out.println(m);
            out.print(new String(sb));
        }

    }
}