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 PyPy3 (7.3.0) (judge verdict: Accepted)

n,m=map(int,input().strip().split(" "))
ans=[0]*m
from collections import defaultdict
d=defaultdict(int)
prev=0
d1=defaultdict(int)
ar=[]

def g(i):
    return i[1]
for i in range(m):
    p,y=map(int,input().strip().split(" "))
    ar.append((p,y,i))

ar.sort(key=g)

for i in range(m):
    b=ar[i][0]
    a=i+1
    s=d[b]+1
    d[b]+=1
    a1=str(1000000+b)[1:]
    a2=str(1000000+s)[1:]
    ans[ar[i][2]]=a1+a2
for i in ans:
    print(i)