Colorful Leaderboard

AtCoder

IDabc064_c

Time2000ms

Memory256MB

Difficulty—

In AtCoder, a person who has participated in a contest receives a _color_, which corresponds to the person's rating as follows: * Rating $1$\-$399$ : gray * Rating $400$\-$799$ : brown * Rating $800$\-$1199$ : green * Rating $1200$\-$1599$ : cyan * Rating $1600$\-$1999$ : blue * Rating $2000$\-$2399$ : yellow * Rating $2400$\-$2799$ : orange * Rating $2800$\-$3199$ : red Other than the above, a person whose rating is $3200$ or higher can freely pick his/her color, which can be one of the eight colors above or not. Currently, there are $N$ users who have participated in a contest in AtCoder, and the $i$\-th user has a rating of $a_i$. Find the minimum and maximum possible numbers of different colors of the users. ## Constraints * $1 ≤ N ≤ 100$ * $1 ≤ a_i ≤ 4800$ * $a_i$ is an integer. ## Input Input is given from Standard Input in the following format: $N$ $a_1$ $a_2$ $...$ $a_N$ [samples]

Samples

Input #1

4
2100 2500 2700 2700

Output #1

2 2

The user with rating $2100$ is "yellow", and the others are "orange". There are two different colors.

Input #2

5
1100 1900 2800 3200 3200

Output #2

3 5

The user with rating $1100$ is "green", the user with rating $1900$ is blue and the user with rating $2800$ is "red".  
If the fourth user picks "red", and the fifth user picks "blue", there are three different colors. This is one possible scenario for the minimum number of colors.  
If the fourth user picks "purple", and the fifth user picks "black", there are five different colors. This is one possible scenario for the maximum number of colors.

Input #3

20
800 810 820 830 840 850 860 870 880 890 900 910 920 930 940 950 960 970 980 990

Output #3

1 1

All the users are "green", and thus there is one color.

API Response (JSON)

{
  "problem": {
    "name": "Colorful Leaderboard",
    "description": {
      "content": "In AtCoder, a person who has participated in a contest receives a _color_, which corresponds to the person's rating as follows: *   Rating $1$\\-$399$ : gray *   Rating $400$\\-$799$ : brown *   Rating",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc064_c"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "In AtCoder, a person who has participated in a contest receives a _color_, which corresponds to the person's rating as follows:\n\n*   Rating $1$\\-$399$ : gray\n*   Rating $400$\\-$799$ : brown\n*   Rating...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

Full JSON Raw Segments