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 {

  def main(args: Array[String]): Unit = {
    val sc = new java.util.Scanner(System.in)
    val N, M = sc.nextInt()

    case class City(i: Int, year: Int)
    val prefectures = Array.fill(N+1)(
      new scala.collection.mutable.PriorityQueue[City]()(
        Ordering.by[City, Int](c => c.year)(Ordering.Int.reverse)))
    val result = new Array[String](M)

    (0 until M) foreach { i =>
      val p, y = sc.nextInt()
      prefectures(p).enqueue(City(i, y))
    }

    val format = (n: Int) => "%06d".format(n)

    (1 to N). foreach { p =>
      val prefecture = prefectures(p)
      var i = 1
      while (prefecture.nonEmpty) {
        val city = prefecture.dequeue()
        result(city.i) = s"${format(p)}${format(i)}"
        i += 1
      }
    }

    println(result.mkString("\n"))

  }

}