Problem: Priority queue is a container of elements which the element with the highest priority should be extracted first.

For $n$ priority queues $Q_i$ ($i = 0, 1, ..., n-1$) of integers, perform a sequence of the following operations.

* insert($t$, $x$): Insert $x$ to $Q_t$.
* getMax($t$): Report the maximum value in $Q_t$. If $Q_t$ is empty, do nothing.
* deleteMax($t$): Delete the maximum element from $Q_t$. If $Q_t$ is empty, do nothing.



In the initial state, all queues are empty.

Constraints

* $1 \leq n \leq 1,000$
* $1 \leq q \leq 200,000$
* $-1,000,000,000 \leq x \leq 1,000,000,000$

Input

The input is given in the following format.


$n \; q$
$query_1$
$query_2$
:
$query_q$


Each query $query_i$ is given by


0 $t$ $x$


or


1 $t$


or


2 $t$


where the first digits 0, 1 and 2 represent insert, getMax and deleteMax operations respectively.

Output

For each getMax operation, print an integer in a line.

Example

Input

2 10
0 0 3
0 0 9
0 0 1
1 0
2 0
1 0
0 0 4
1 0
0 1 8
1 1


Output

9
3
4
8

Solution (in JAVA):

Solution:
import java.util.ArrayList;
import java.util.Comparator;
import java.util.List;
import java.util.PriorityQueue;
import java.util.Queue;
import java.util.Scanner;

public class Main {
	public static void main(String[] args) {
		int i;
		try (Scanner sc = new Scanner(System.in)) {
			int n = sc.nextInt();
			int q = sc.nextInt();
			List<Queue<Integer>> array = new ArrayList<>();
			for(i = 0; i < n; i++) {
				array.add(new PriorityQueue<Integer>(4 ,new MyComparator()));
			}
			for(i = 0; i < q; i++) {
				int order_number = sc.nextInt();
				int t = sc.nextInt();
				//命令1と2は配列が空なら処理しない
				if(array.get(t).isEmpty() && order_number != 0) {
					continue;
				}
				switch(order_number) {
				case 0 :
					array.get(t).add(sc.nextInt());
					break;
				case 1 :
					System.out.println(array.get(t).peek());
					break;
				case 2 :
					array.get(t).remove();
					break;
				}
				// for(Queue<Integer> output : array) {
				// 	System.out.println(output);
				// }
			}
		}
	}
}
class MyComparator implements Comparator<Object> {
	 
    public int compare(Object obj1, Object obj2) {
         
        int num1 = (int)obj1;
        int num2 = (int)obj2;
         
        if(num1 < num2) {
            return 1;
        } else if(num1 > num2) {
            return -1;
        } else{
            return 0;
        }
    }
}