10521: ABC113 —— C - ID
[Creator : ]
Description
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.
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.
Input
Input is given from Standard Input in the following format:
```
$N$ $M$
$P_1$ $Y_1$
$:$
$P_M$ $Y_M$
```
```
$N$ $M$
$P_1$ $Y_1$
$:$
$P_M$ $Y_M$
```
Output
Print the ID numbers for all the cities, in ascending order of indices (City $1$, City $2$, $...$).
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.
- $1 \leq M \leq 10^5$
- $1 \leq P_i \leq N$
- $1 \leq Y_i \leq 10^9$
- $Y_i$ are all different.
- All values in input are integers.
Sample 1 Input
2 3
1 32
2 63
1 12
Sample 1 Output
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.
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 2 Input
2 3
2 55
2 77
2 99
Sample 2 Output
000002000001
000002000002
000002000003