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 Ruby (2.3.3) (judge verdict: Runtime Error)

# https://atcoder.jp/contests/abc113/tasks/abc113_c

n, m = gets.split.map(&:to_i)

prefs = Array.new(10**5).map { Array.new }
City = Struct.new("City", :pref, :year, :index)
cities = []
m.times do
  pref, year = gets.split.map(&:to_i)
  city = City.new(pref, year, nil)
  prefs[pref] << city
  cities << city
end

prefs.reject { |pref| pref.nil? } do |pref|
  sorted_pref_cities = pref.sort_by { |c| c.year }
  sorted_pref_cities.each_with_index { |c, idx| c.index = idx + 1 }
end
cities.each { |i| printf "%06d%06d\n", i.pref, i.index }
# p prefs