Problem:
Score: 300 points

Problem Statement

In Republic of Atcoder, there are N prefectures, and a total of M cities that belong to those prefectures.

City i is established in year Y_i and belongs to Prefecture P_i.

You can assume that there are no multiple cities that are established in the same year.

It is decided to allocate a 12-digit ID number to each city.

If City i is the x-th established city among the cities that belong to Prefecture i, the first six digits of the ID number of City i is P_i, and the last six digits of the ID number is x.

Here, if P_i or x (or both) has less than six digits, zeros are added to the left until it has six digits.

Find the ID numbers for all the cities.

Note that there can be a prefecture with no cities.

Constraints

1 \leq N \leq 10^5

1 \leq M \leq 10^5

1 \leq P_i \leq N

1 \leq Y_i \leq 10^9

Y_i are all different.

All values in input are integers.

Input

Input is given from Standard Input in the following format:

N M
P_1 Y_1
:
P_M Y_M

Output

Print the ID numbers for all the cities, in ascending order of indices (City 1, City 2, ...).

Sample Input 1

2 3
1 32
2 63
1 12

Sample Output 1

000001000002
000002000001
000001000001

As City 1 is the second established city among the cities that belong to Prefecture 1, its ID number is 000001000002.

As City 2 is the first established city among the cities that belong to Prefecture 2, its ID number is 000002000001.

As City 3 is the first established city among the cities that belong to Prefecture 1, its ID number is 000001000001.

Sample Input 2

2 3
2 55
2 77
2 99

Sample Output 2

000002000001
000002000002
000002000003

Solution in C# (Mono 4.6.2.0) (judge verdict: Accepted)

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace AtCoder_Tutorial
{
    public class Shi
    {
        public int P;
        public int Y;
        public int O;

        public string GetID()
        {
            return P.ToString("000000") + O.ToString("000000");
        }
    }

    class Program
    {
        static void Main(string[] args)
        {
            string[] input1 = Console.ReadLine().Split();
            int N = int.Parse(input1[0]);
            int M = int.Parse(input1[1]);
            List<Shi> shiList = new List<Shi>();
            for (int i = 0; i < M; i++)
            {
                string[] input = Console.ReadLine().Split();
                shiList.Add(new Shi { P = int.Parse(input[0]), Y = int.Parse(input[1]) });
            }

            var olist = shiList.OrderBy(_ => _.P).ThenBy(_ => _.Y).ToList();
            int x = 1;
            int prefectureNum = 0;
            for (int i = 0; i < olist.Count; i++)
            {
                if (prefectureNum != olist[i].P)
                {
                    x = 1;
                    prefectureNum = olist[i].P;
                }
                olist[i].O = x;
                x++;
            }

            foreach (var item in shiList)
            {
                Console.WriteLine(item.GetID());
            }
        }
    }
}