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.BufferedReader;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Map;
import java.util.PriorityQueue;
import java.util.StringTokenizer;
import java.util.TreeMap;

public class CF2
{
	static public void main(String[] args)
	{
		WozReader wr = new CF2().new WozReader();
		PrintWriter pw = new PrintWriter(System.out);
		int n = wr.nextInt();
		TreeMap<Integer, Integer> map = new TreeMap<>();
		for (int i = 0; i < n; i++)
		{
			int num = wr.nextInt();
			if (map.containsKey(num))
				map.put(num, map.get(num)+1);
			else
				map.put(num, 1);
		}
		PriorityQueue<Height> pq = new PriorityQueue<>();
		for (Map.Entry<Integer, Integer> en : map.entrySet())
		{
			pq.add(new Height(en.getKey(), en.getValue()));
		}
		
		ArrayList<Snowman> snowmen = new ArrayList<>();
		while (!pq.isEmpty())
		{
			Height h1 = pq.poll();
			Height h2 = pq.poll();
			Height h3 = pq.poll();
			if (h3 != null)
				snowmen.add(new Snowman(h1.height, h2.height, h3.height));
			if (h1.quantity > 1)
				pq.add(new Height(h1.height, h1.quantity-1));
			if (h2 != null && h2.quantity > 1)
				pq.add(new Height(h2.height, h2.quantity-1));
			if (h3 != null && h3.quantity > 1)
				pq.add(new Height(h3.height, h3.quantity-1));
		}
		pw.println(snowmen.size());
		for (int i = 0; i < snowmen.size(); i++)
			pw.println(snowmen.get(i));
		pw.flush();
		
	}
	class WozReader
	{
		BufferedReader br;
		StringTokenizer st;

		public WozReader()
		{
			try
			{
				br = new BufferedReader(new InputStreamReader(System.in));
				st = new StringTokenizer(br.readLine());
			} catch (Exception e)
			{
				e.printStackTrace();
			}
		}

		public String next()
		{
			if (st.hasMoreTokens())
				return st.nextToken();
			try
			{
				st = new StringTokenizer(br.readLine());
			} catch (Exception e)
			{
				e.printStackTrace();
			}
			return st.nextToken();
		}

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

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

		public String nextLine()
		{
			String line = "";
			try
			{
				line = br.readLine();
			} catch (Exception e)
			{
				e.printStackTrace();
			}
			return line;
		}
	}
}

class Snowman
{
	int h1, h2, h3;
	public Snowman(int a, int b, int c)
	{
		int[] arr = { a, b, c };
		Arrays.sort(arr);
		h1 = arr[0]; //smallest
		h2 = arr[1];
		h3 = arr[2]; //biggest
	}
	public String toString()
	{
		return String.format("%d %d %d", h3, h2, h1);
	}
}
class Height implements Comparable<Height>
{
	int height;
	int quantity;
	public Height(int h, int q)
	{
		height = h;
		quantity = q;
	}
	public int compareTo(Height h)
	{
		return h.quantity - this.quantity;
	}
	public String toString()
	{
		return height + " " + quantity;
	}
}