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 Java8 (OpenJDK 1.8.0) (judge verdict: Time Limit Exceeded)

import java.util.*;

public class Main {

  static Scanner sc = new Scanner(System.in);

  public static void main(String[] args) {

    int N = sc.nextInt(); //県の数
    int M = sc.nextInt(); //市の数

    ArrayList<Integer[]>[] prefectures = new ArrayList[N]; //[0] 市の番号 [1] 年
    for (int i=0; i<N; i++) {
      prefectures[i] = new ArrayList();
    }

    for (int i=0; i<M; i++) {
      int p = sc.nextInt()-1;
      int y = sc.nextInt();
      for (int j=0; j<=prefectures[p].size(); j++) {
        if (j == prefectures[p].size() || prefectures[p].get(j)[1] > y) {
          prefectures[p].add(j, new Integer[]{i, y});
          break;
        }
      }
    }

    String[] ids = new String[M];
    for (int i=0; i<N; i++) {
      for (int j=0; j<prefectures[i].size(); j++) {
        Integer[] city = prefectures[i].get(j);
        ids[city[0]] = String.format("%06d", i+1) + String.format("%06d", j+1);
      }
    }

    for (int i=0; i<M; i++) {
      System.out.println(ids[i]);
    }

  }

}