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 Rust (1.15.1) (judge verdict: Runtime Error)

fn main() {
    let _: i64 = read();
    let m: i64 = read();
    let py: Vec<(i64, i64, i64)> = (0..m).map(|i| (i, read(), read())).collect();
    let mut kens: Vec<Vec<(i64, i64, i64)>> = vec![Vec::new(); 100_000];
    for (i, p, y) in py {
        kens[p as usize].push((i, p, y));
    }
    let mut result = vec![];
    for ken in kens.iter_mut() {
        ken.sort_by_key(|k| k.2);
        for (j, &(i, p, _)) in ken.iter().enumerate() {
            result.push((i, format!("{:06}{:06}", p, j + 1)));
        }
    }
    result.sort_by_key(|k| k.0);
    for (_, s) in result {
        println!("{}", s);
    }
}

fn read<T: std::str::FromStr>() -> T {
    use std::io::prelude::*;

    let stdin = std::io::stdin();
    let token: String = stdin
        .lock()
        .bytes()
        .map(|b| b.unwrap() as char)
        .skip_while(|c| c.is_whitespace())
        .take_while(|c| !c.is_whitespace())
        .collect();
    token.parse().ok().unwrap()
}