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.OutputStreamWriter;
import java.util.PriorityQueue;
import java.io.BufferedWriter;
import java.util.Comparator;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.io.Writer;
import java.util.List;
import java.util.Map;
import java.util.function.Function;
import java.io.IOException;
import java.util.TreeMap;
import java.util.InputMismatchException;
import java.util.ArrayList;
import java.util.Set;
import java.util.function.BiFunction;
import java.util.NoSuchElementException;
import java.math.BigInteger;
import java.util.Collections;
import java.io.InputStream;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 * @author Alex
 */
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 O{
		int num, occurance;
		public O(int num, int occurance){this.num = num; this.occurance = occurance;}
	}
    public void solve(int testNumber, InputReader in, OutputWriter out){
	    int n = in.ri();
	    TreeMap<Integer, Integer> helper = new TreeMap<>();
	    PriorityQueue<O> tm = new PriorityQueue<>(Comparator.comparing((O o) -> o.occurance).reversed());
	    for(int i = 0; i < n; i++) helper.merge(in.ri(), 1, Integer::sum);
	    for(Map.Entry<Integer, Integer> e : helper.entrySet()) tm.add(new O(e.getKey(), e.getValue()));
	    ArrayList<ArrayList<Integer>> res = new ArrayList<>();
	    while(tm.size() > 2){
		    ArrayList<O> entries = new ArrayList<>();
		    ArrayList<Integer> temp = new ArrayList<>();
		    for(int i = 0; i < 3; i++) entries.add(tm.poll());
		    for(O e : entries){
			    temp.add(e.num);
			    if (e.occurance > 1){
				    e.occurance--;
				    tm.add(e);
			    }
		    }
		    res.add(temp);
	    }
	    out.printLine(res.size());
	    for(ArrayList<Integer> a : res) {
		    Collections.sort(a, Comparator.<Integer>reverseOrder());
		    for(int el : a) out.print(el + " ");
		    out.printLine();
	    }
    }
}

class InputReader {
	private InputStream stream;
	private byte[] buf = new byte[1024];
	private int curChar;
	private int numChars;
	private SpaceCharFilter filter;

	public InputReader(InputStream stream) {
		this.stream = stream;
	}

	public int read() {
		if (numChars == -1)
			throw new InputMismatchException();
		if (curChar >= numChars) {
			curChar = 0;
			try {
				numChars = stream.read(buf);
			} catch (IOException e) {
				throw new InputMismatchException();
			}
			if (numChars <= 0)
				return -1;
		}
		return buf[curChar++];
	}
	public int ri(){
		return readInt();
	}

	public int readInt() {
		int c = read();
		while (isSpaceChar(c))
			c = read();
		int sgn = 1;
		if (c == '-') {
			sgn = -1;
			c = read();
		}
		int res = 0;
		do {
			if (c < '0' || c > '9')
				throw new InputMismatchException();
			res *= 10;
			res += c - '0';
			c = read();
		} while (!isSpaceChar(c));
		return res * sgn;
	}
	public boolean isSpaceChar(int c) {
		if (filter != null)
			return filter.isSpaceChar(c);
		return isWhitespace(c);
	}

	public static boolean isWhitespace(int c) {
		return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
	}
	public interface SpaceCharFilter {
		public boolean isSpaceChar(int ch);
	}
}

class OutputWriter {
	private final PrintWriter writer;

	public OutputWriter(OutputStream outputStream) {
		writer = new PrintWriter(new BufferedWriter(new OutputStreamWriter(outputStream)));
	}
	public void print(Object...objects) {
		for (int i = 0; i < objects.length; i++) {
			if (i != 0)
				writer.print(' ');
			writer.print(objects[i]);
		}
	}
	public void printLine() {
		writer.println();
	}
	public void close() {
		writer.close();
	}
	public void printLine(int i) {
		writer.println(i);
	}

}