AtCoder Beginner Contest 064
C
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Problem Statement

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In AtCoder, a person who has participated in a contest receives a color, which corresponds to the person's rating as follows:

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  • 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
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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.

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Constraints

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  • $1 ≤ N ≤ 100$
  • $1 ≤ a_i ≤ 4800$
  • $a_i$ is an integer.
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Input

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Input is given from Standard Input in the following format:

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N
a_1 a_2 ... a_N

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Output

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Print the minimum possible number of different colors of the users, and the maximum possible number of different colors, with a space in between.

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样例

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.
题目信息
题号
abc064_c
时间限制
2 s
内存限制
256 MB

题面与样例版权归 AtCoder 及出题人所有;中文翻译由 AI 生成(CI 管线),如有出入请以原文为准。