Problem:
Priority Queue

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.

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.

Constraints

$1 \leq n \leq 1,000$

$1 \leq q \leq 200,000$

$-1,000,000,000 \leq x \leq 1,000,000,000$

Sample Input 1

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

Sample Output 1

9
3
4
8

Solution in C# (judge verdict: Accepted)

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using CompProgLib;

namespace ITP2_2_B
{
    public class Program

    {
        public static void Main(string[] args)
        {
            int[] n = ReadIntAr();
            List<PriorityQueue<int>> li = new List<PriorityQueue<int>>();
            for (int i = 0 ; i < n[0] ; i++) li.Add(new PriorityQueue<int>());

            for (int i = 0 ; i < n[1] ; i++)
            {
                int[] line = ReadIntAr();
                switch (line[0])
                {
                    case 0: li[line[1]].Enqueue(line[2]); break;
                    case 1: if (li[line[1]].Count > 0) Console.WriteLine(li[line[1]].Peek().ToString()); break;
                    case 2: if (li[line[1]].Count > 0) li[line[1]].Dequeue(); break;
                }
            }
        }

        static string ReadSt() { return Console.ReadLine(); }
        static int ReadInt() { return int.Parse(Console.ReadLine()); }
        static long ReadLong() { return long.Parse(Console.ReadLine()); }
        static double ReadDouble() { return double.Parse(Console.ReadLine()); }
        static string[] ReadStAr(char sep = ' ') { return Console.ReadLine().Split(sep); }
        static int[] ReadIntAr(char sep = ' ') { return Array.ConvertAll(Console.ReadLine().Split(sep), e => int.Parse(e)); }
        static long[] ReadLongAr(char sep = ' ') { return Array.ConvertAll(Console.ReadLine().Split(sep), e => long.Parse(e)); }
        static double[] ReadDoubleAr(char sep = ' ') { return Array.ConvertAll(Console.ReadLine().Split(sep), e => double.Parse(e)); }

    }

}

namespace CompProgLib
{
    public class PriorityQueue<T> where T : IComparable<T>

    {

        private List<T> Buffer { get; set; }

        public int Count { get { return Buffer.Count; } }

        public PriorityQueue() { Buffer = new List<T>(); }
        public PriorityQueue(int capacity) { Buffer = new List<T>(capacity); }


        /// <summary>
        /// ヒープ化されている配列リストに新しい要素を追加する。
        /// </summary>
        public void Enqueue(T item)
        {
            int n = Buffer.Count;
            Buffer.Add(item);

            while (n != 0)
            {
                int i = (n - 1) / 2;
                if (Buffer[n].CompareTo(Buffer[i]) > 0)
                {
                    T tmp = Buffer[n]; Buffer[n] = Buffer[i]; Buffer[i] = tmp;
                }
                n = i;
            }
        }

        /// <summary>
        /// ヒープから最大値を取り出し、削除する。
        /// </summary>
        public T Dequeue()
        {
            T ret = Buffer[0];
            int n = Buffer.Count - 1;
            Buffer[0] = Buffer[n];
            Buffer.RemoveAt(n);

            for (int i = 0, j ; (j = 2 * i + 1) < n ;)
            {
                if ((j != n - 1) && (Buffer[j].CompareTo(Buffer[j + 1]) < 0))
                    j++;
                if (Buffer[i].CompareTo(Buffer[j]) < 0)
                {
                    T tmp = Buffer[j]; Buffer[j] = Buffer[i]; Buffer[i] = tmp;
                }
                i = j;
            }
            return ret;
        }

        /// <summary>
        /// ヒープから最大値を参照する。
        /// </summary>
        public T Peek()
        {
            if (Count == 0) throw new InvalidOperationException();
            return this.Buffer[0];
        }
    }
}