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: Time Limit Exceeded)

object Main extends App {
  val lines = io.Source.stdin.getLines.toSeq
  val line = lines.tail.zipWithIndex.map{ case (e, gi) =>
    val tmp = e.split(' ').map(_.toInt).toArray
    (tmp(0), (tmp(1), gi))
  }
  val maxgi=line.size
  var idMap=(0 until maxgi).map(_=>"").toArray
  val groupByP = line.groupBy(_._1).foreach{ case (pgr, ylist) =>
   	ylist.map(_._2).sortBy(_._1).map(_._2).zipWithIndex.foreach{ case (gi, yindex) =>
      val id = "%06d%06d".format(pgr, (yindex+1))
      //println(gi, id)
      //idMap = idMap + (gi -> id)
      idMap(gi) = id
    }
  }
  idMap.foreach(println(_))
}