Problem: As meticulous Gerald sets the table and caring Alexander sends the postcards, Sergey makes snowmen. Each showman should consist of three snowballs: a big one, a medium one and a small one. Sergey's twins help him: they've already made n snowballs with radii equal to r1, r2, ..., rn. To make a snowman, one needs any three snowballs whose radii are pairwise different. For example, the balls with radii 1, 2 and 3 can be used to make a snowman but 2, 2, 3 or 2, 2, 2 cannot. Help Sergey and his twins to determine what maximum number of snowmen they can make from those snowballs.

Input

The first line contains integer n (1 ≤ n ≤ 105) — the number of snowballs. The next line contains n integers — the balls' radii r1, r2, ..., rn (1 ≤ ri ≤ 109). The balls' radii can coincide.

Output

Print on the first line a single number k — the maximum number of the snowmen. Next k lines should contain the snowmen's descriptions. The description of each snowman should consist of three space-separated numbers — the big ball's radius, the medium ball's radius and the small ball's radius. It is allowed to print the snowmen in any order. If there are several solutions, print any of them.

Examples

Input

7
1 2 3 4 5 6 7


Output

2
3 2 1
6 5 4


Input

3
2 2 3


Output

0

Solution (in JAVA):

Solution:
import java.io.InputStreamReader;
import java.io.IOException;
import java.util.Arrays;
import java.util.PriorityQueue;
import java.util.ArrayList;
import java.io.BufferedReader;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.io.Writer;
import java.util.AbstractCollection;
import java.util.StringTokenizer;
import java.io.InputStream;

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

class TaskC {

    class Ball implements Comparable<Ball> {
        int radius = 0;
        int count = 0;

        Ball(int radius, int count) {
            this.radius = radius;
            this.count = count;
        }

        public int compareTo(Ball o) {
            return -(this.count - o.count);
        }
    }

    class Result {
        int a, b, c;

        Result(int a, int b, int c) {
            this.a = a;
            this.b = b;
            this.c = c;
        }

        public String toString() {
            int[] d = new int[3];
            d[0] = a;
            d[1] = b;
            d[2] = c;
            Arrays.sort(d);
            return d[2] + " " + d[1] + " " + d[0];
        }
    }

    public void solve(int testNumber, InputReader in, OutputWriter out) {
        int n = in.nextInt();
        int[] a = new int[n];
        for (int i = 0; i < n; i++)
            a[i] = in.nextInt();
        Arrays.sort(a);
        int i = 0;
        PriorityQueue<Ball> balls = new PriorityQueue<Ball>();
        while (i < n) {
            int radius = a[i];
            int j = i + 1;
            while ((j < n) && (a[j] == a[i])) j++;
            int count = j - i;
            Ball ball = new Ball(radius, count);
            balls.add(ball);
            i = j;
        }
        ArrayList<Result> results = new ArrayList<Result>();
        int res = 0;
        while (!balls.isEmpty()) {
            Ball x = balls.poll();
            if (balls.isEmpty()) break;

            Ball y = balls.poll();
            if (balls.isEmpty()) break;

            Ball z = balls.poll();

            res++;
            results.add(new Result(x.radius, y.radius, z.radius));

            x.count--;
            y.count--;
            z.count--;
            if (x.count != 0) balls.add(x);
            if (y.count != 0) balls.add(y);
            if (z.count != 0) balls.add(z);
        }

        out.println(res);
        for (Result r : results) out.println(r);
    }
}

class InputReader {
    private BufferedReader reader;
    private StringTokenizer tokenizer;

    public InputReader(InputStream stream) {
        reader = new BufferedReader(new InputStreamReader(stream));
        tokenizer = null;
    }

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

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

class OutputWriter {
    private final PrintWriter writer;

    public OutputWriter(OutputStream outputStream) {
        writer = new PrintWriter(outputStream);
    }

    public OutputWriter(Writer writer) {
        this.writer = new PrintWriter(writer);
    }

    public void print(Object... objects) {
        for (int i = 0; i < objects.length; i++) {
            //if (i != 0) writer.print(' ');
            writer.print(objects[i]);
        }
    }

    public void println(Object... objects) {
        print(objects);
        writer.println();
    }

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