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 Kotlin (1.0.0) (judge verdict: Time Limit Exceeded)

data class City(val i: Long, val year: Long, var num: String = "")
 
fun main(args: Array<String>) {
    val line = readLine()!!.split(' ').map { it.toLong() }
    val m = line[1]
    val ps = mutableMapOf<Long, MutableList<City>>()
    for (i in (1..m)) {
        val l = readLine()!!.split(' ').map { it.toLong() }
        val p = ps[l[0]]
        if (p == null) {
            ps[l[0]] = mutableListOf(City(i, l[1]))
        } else {
            p.add(City(i, l[1]))
            ps[l[0]] = p
        }
    }
    ps.keys.forEach {
        val cities = ps[it]
        cities!!.sortBy { it.year }
        cities.mapIndexed { idx, city -> city.num = java.lang.String.format("%06d%06d", it, idx.toLong() + 1) }
        ps[it] = cities
    }
    ps.values.asSequence().flatten().sortedBy { it.i }.toList().forEach { println(it.num) }
}