Problem: According to an old legeng, a long time ago Ankh-Morpork residents did something wrong to miss Fortune, and she cursed them. She said that at some time n snacks of distinct sizes will fall on the city, and the residents should build a Snacktower of them by placing snacks one on another. Of course, big snacks should be at the bottom of the tower, while small snacks should be at the top.

Years passed, and once different snacks started to fall onto the city, and the residents began to build the Snacktower.

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However, they faced some troubles. Each day exactly one snack fell onto the city, but their order was strange. So, at some days the residents weren't able to put the new stack on the top of the Snacktower: they had to wait until all the bigger snacks fell. Of course, in order to not to anger miss Fortune again, the residents placed each snack on the top of the tower immediately as they could do it.

Write a program that models the behavior of Ankh-Morpork residents.

Input

The first line contains single integer n (1 ≤ n ≤ 100 000) — the total number of snacks.

The second line contains n integers, the i-th of them equals the size of the snack which fell on the i-th day. Sizes are distinct integers from 1 to n. 

Output

Print n lines. On the i-th of them print the sizes of the snacks which the residents placed on the top of the Snacktower on the i-th day in the order they will do that. If no snack is placed on some day, leave the corresponding line empty.

Examples

Input

3
3 1 2


Output

3
 
2 1

Input

5
4 5 1 2 3


Output

 
5 4
 
 
3 2 1

Note

In the example a snack of size 3 fell on the first day, and the residents immediately placed it. On the second day a snack of size 1 fell, and the residents weren't able to place it because they were missing the snack of size 2. On the third day a snack of size 2 fell, and the residents immediately placed it. Right after that they placed the snack of size 1 which had fallen before.

Solution (in JAVA):

Solution:

import java.io.IOException;

import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.util.ArrayList;
import java.util.StringTokenizer;
import java.io.*;

/**
 * http://codeforces.com/problemset/problem/767/A #implementation
 * #datastructures
 * 
 * Maintain an array of booleans that denote whether i-th snack is available.
 * Also keep a pointer ptr starting from snack of size n. At each day, if ptr
 * snack is available, print it and any subsequent smaller snacks until reaching
 * another missing snack.
 */
public class SnackTower {

	public static void main(String[] args) throws IOException {
		Reader r = new Reader();
		Writer w = new Writer();

		int n = r.nextInt();
		boolean[] placed = new boolean[n + 1];
		int ptr = n;
		int t;

		for (int i = 0; i < n; ++i) {
			t = r.nextInt();
			placed[t] = true;
			for (; placed[ptr]; --ptr)
				w.print(ptr + " ");
			w.println("");
		}

		w.close();
	}

}

/**
 * Custom class used for fast output.
 */
class Writer {
	private final BufferedWriter bw;

	public Writer() {
		this.bw = new BufferedWriter(new OutputStreamWriter(System.out));
	}

	public void print(Object object) throws IOException {
		bw.append("" + object);
	}

	public void println(Object object) throws IOException {
		print(object);
		bw.append("\n");
	}

	public void close() throws IOException {
		bw.close();
	}

}


/**
 * Custom class for fast input that uses BufferedReader and StringTokenizer.
 */
class Reader {
	private BufferedReader br;
	private StringTokenizer st;

	public Reader() {
		br = new BufferedReader(new InputStreamReader(System.in));
	}

	private String next() {
		while (st == null || !st.hasMoreElements()) {
			try {
				st = new StringTokenizer(br.readLine());
			} catch (IOException e) {
				e.printStackTrace();
			}
		}
		return st.nextToken();
	}

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

	public int[] nextIntArray(int size) {
		int[] arr = new int[size];
		for (int i = 0; i < size; ++i)
			arr[i] = nextInt();
		return arr;
	}

	public ArrayList<Integer> nextIntArrayList(int size) {
		ArrayList<Integer> lst = new ArrayList<>(size);
		for (int i = 0; i < size; ++i)
			lst.add(nextInt());
		return lst;
	}

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

	public long[] nextLongArray(int size) {
		long[] arr = new long[size];
		for (int i = 0; i < size; ++i)
			arr[i] = nextLong();
		return arr;
	}

	public ArrayList<Long> nextLongArrayList(int size) {
		ArrayList<Long> lst = new ArrayList<>(size);
		for (int i = 0; i < size; ++i)
			lst.add(nextLong());
		return lst;
	}

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

	public double[] nextDoubleArray(int size) {
		double[] arr = new double[size];
		for (int i = 0; i < size; ++i)
			arr[i] = nextDouble();
		return arr;
	}

	public String nextString() {
		return next();
	}

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