ID

AtCoder

IDabc113_c

Time2000ms

Memory256MB

Difficulty—

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: $N$ $M$ $P_1$ $Y_1$ $:$ $P_M$ $Y_M$ [samples]

Samples

Input #1

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 $000001000001$.

Input #2

Output #2

000002000001
000002000002
000002000003

API Response (JSON)

{
  "problem": {
    "name": "ID",
    "description": {
      "content": "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 tha",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc113_c"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "In Republic of Atcoder, there are $N$ prefectures, and a total of $M$ cities that belong to those prefectures.\nCity $i$ is established in year $Y_i$ and belongs to Prefecture $P_i$.\nYou can assume tha...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

Full JSON Raw Segments