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 Scala (2.11.7) (judge verdict: Wrong Answer)


object Main extends App {

  import scala.io.StdIn._


  val Array(n, m) = readLine.trim.split(' ').map(_.toInt)
  val prefNum = Array.tabulate(n){_ ⇒ 0}
  val id = Array.tabulate(m){_ ⇒ 1000000000000L}
  val towns = Array.tabulate(m){_ ⇒
    val Array(p, y) = readLine.trim.split(' ').map(_.toInt)
    Town(p, y)
  }.zipWithIndex.sortBy(_._1.year)
  for ((town, i) ← towns){
    prefNum(town.pref - 1) += 1
    id(i) += prefNum(town.pref - 1) + town.pref * 1000000
  }
  for (i ← id){
    println(i.toString.takeRight(12))
  }
  case class Town(pref: Int, year: Int)
}