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.BufferedWriter;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.OutputStreamWriter;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.List;
import java.util.StringTokenizer;

/**
 * Built using CHelper plug-in Actual solution is at the top
 */
public class Main {
	public static void main(String[] args) {
		InputReader in = new InputReader(System.in);
		PrintWriter out = new PrintWriter(new BufferedWriter(new OutputStreamWriter(System.out)), true);
		TaskB solver = new TaskB();
		solver.solve(1, in, out);
		out.flush();
		out.close();
	}
}

class Pair<A, B> {
	A first;
	B second;

	Pair(A first, B second) {
		this.first = first;
		this.second = second;
	}

}

class TaskB {
	int INF = (int) 1e9 + 7;
	int MAX_N = (int) 2e4 + 5;
	long mod = (long) 1e8;
	List<Integer> ans;

	public void solve(int testNumber, InputReader in, PrintWriter pw) {
		int n = in.nextInt();
		int arr[] = new int[n];
		for (int i = 0; i < n; i++) {
			arr[i] = in.nextInt();
		}
		Arrays.sort(arr);
		int l = 0, r = n / 3 + 1;
		while (r - l > 1) {
			int mid = (l + r) / 2;
			boolean ok = check(mid, arr, n);
			if (ok) {
				l = mid;
			} else {
				r = mid;
			}
		}
		pw.println(l);
		check(l, arr, n);
		for (int i = 0; i < ans.size(); i += 3) {
			pw.println(ans.get(i) + " " + ans.get(i + 1) + " " + ans.get(i + 2));
		}

	}

	boolean check(int mid, int arr[], int n) {
		int start[] = new int[mid];
		int end[] = new int[mid];
		int counter = 0;
		boolean taken[] = new boolean[n];
		List<Integer> rest = new ArrayList<Integer>();
		for (int i = 0; i < mid && i < n; i++) {
			start[counter++] = arr[i];
			taken[i] = true;
		}
		counter = mid - 1;
		for (int i = n - 1; counter >= 0 && i >= 0; i--) {
			if (taken[i]) {
				continue;
			}
			end[counter--] = arr[i];
			taken[i] = true;
		}
		if (counter > 0) {
			return false;
		}
		for (int i = 0; i < n; i++) {
			if (!taken[i]) {
				rest.add(arr[i]);
			}
		}
		ans = new ArrayList<Integer>();
		int ptr = 0;
		for (int i = 0; i < mid; i++) {
			ans.add(end[i]);
			int first = start[i];
			int last = end[i];
			while (ptr < rest.size() && rest.get(ptr) <= first) {
				ptr++;
			}
			if (ptr == rest.size()) {
				return false;
			}
			if (rest.get(ptr) >= last) {
				return false;
			}
			ans.add(rest.get(ptr++));
			ans.add(start[i]);
		}
		return true;
	}

//	int sum(int k) {
//		int sum=0;
//		for(int i=k;i>=1;i) {
//			sum+=ft[k];
//		}
//	}

	long fib(int N) {
		long fib[] = new long[N + 1];
		fib[0] = 1;
		fib[1] = 1;
		for (int i = 2; i <= N; i++) {
			fib[i] = (fib[i - 1] + fib[i - 2]) % mod;
		}
		return fib[N] % mod;
	}

	long sum(int i, int j, long arr[]) {
		long sum = 0;
		for (int k = i; k <= j; k++) {
			sum += arr[k];
		}
		return sum;
	}

	boolean FirstRow_Col(Pair<Integer, Integer> pair) {
		return pair.first == 0 || pair.second == 0;
	}

	int __gcd(int a, int b) {
		if (b == 0)
			return a;
		return __gcd(b, a % b);

	}

	public int getInt(int num) {
		int ret = -1;
		switch (num) {
		case 0:
			ret = 6;
			break;
		case 1:
			ret = 2;
			break;
		case 2:
			ret = 5;
			break;
		case 3:
			ret = 5;
			break;
		case 4:
			ret = 4;
			break;
		case 5:
			ret = 5;
			break;
		case 6:
			ret = 6;
			break;
		case 7:
			ret = 3;
			break;
		case 8:
			ret = 7;
			break;
		case 9:
			ret = 6;
			break;
		}
		return ret;
	}

	public int isPow(long num) {
		int count = 0;
		while (num > 0) {
			num /= 2;
			count++;
		}
		return count;
	}
}

class InputReader {
	BufferedReader br;
	StringTokenizer st;

	public InputReader(InputStream in) {
		br = new BufferedReader(new InputStreamReader(in));
		st = null;
	}

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

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

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

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