Problem:
Score : 300 points

Problem Statement

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

Output

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

Sample Input 1

4
2100 2500 2700 2700

Sample Output 1

2 2

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

Sample Input 2

5
1100 1900 2800 3200 3200

Sample 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.

Sample Input 3

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

Sample Output 3

1 1

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

Solution in Java8 (OpenJDK 1.8.0) (judge verdict: Wrong Answer)


import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.HashMap;
import java.util.Map;
import java.util.NoSuchElementException;
import java.util.TreeMap;
import java.util.concurrent.atomic.AtomicInteger;
import java.util.stream.IntStream;

public class Main {

	public static void main(String[] args) throws IOException {
		new Main().solve();
	}

	private void solve() throws IOException {
		try {
			//			solveA();
			//			solveB();
			solveC();
			//			 solveD();
			//			 solveE();
			//			 solveF();
		} finally {
			if (in != null) {
				in.close();
			}
			if (out != null) {
				out.flush();
				out.close();
			}
		}

	}

	private void solveA() {
		int numR = nextInt();
		int numG = nextInt();
		int numB = nextInt();

		int num = (numR * 100 + numG * 10 + numB);

		out.println(num % 4 == 0 ? "YES" : "NO");
	}

	private void solveB() {
		int numN = nextInt();
		Map<Integer, Integer> wk = new TreeMap<Integer, Integer>();
		IntStream.range(0, numN).forEach(i -> wk.merge(nextInt(), 1, (oldV, newV) -> oldV + newV));

		AtomicInteger min = new AtomicInteger(Integer.MAX_VALUE);
		AtomicInteger max = new AtomicInteger(0);
		wk.keySet().stream().forEach(key -> {
			min.set(Math.min(min.intValue(), key));
			max.set(Math.max(max.intValue(), key));
		});

		out.println(max.intValue() - min.intValue());
	}

	private void solveC() {
		int numN = nextInt();

		Map<Integer, Integer> wk = new HashMap<Integer, Integer>();
		int cnt = 0;
		for (int i = 0; i < numN; i++) {
			int key = nextInt();
			if (1 <= key && key <= 399) {
				wk.merge(1, 1, (oldV, newV) -> oldV + newV);
			} else if (400 <= key && key <= 799) {
				wk.merge(2, 1, (oldV, newV) -> oldV + newV);
			} else if (800 <= key && key <= 1199) {
				wk.merge(3, 1, (oldV, newV) -> oldV + newV);
			} else if (1200 <= key && key <= 1599) {
				wk.merge(4, 1, (oldV, newV) -> oldV + newV);
			} else if (1600 <= key && key <= 1999) {
				wk.merge(5, 1, (oldV, newV) -> oldV + newV);
			} else if (2000 <= key && key <= 2399) {
				wk.merge(6, 1, (oldV, newV) -> oldV + newV);
			} else if (2400 <= key && key <= 2799) {
				wk.merge(7, 1, (oldV, newV) -> oldV + newV);
			} else if (2800 <= key && key <= 3199) {
				wk.merge(8, 1, (oldV, newV) -> oldV + newV);
			} else if (key >= 3200) {
				cnt++;
			}

		}

		int min = wk.size() == 0 ? 1 : wk.size();
		int max = wk.size() + cnt >= 8 ? 8 : wk.size() + cnt;

		out.println(min + " " + max);
	}

	private void solveD() {
		int numN = nextInt();

		out.println("");
	}

	private void solveE() {
		int numN = nextInt();

		out.println("");
	}

	private void solveF() {
		int numN = nextInt();

		out.println("");
	}

	private final PrintWriter out = new PrintWriter(System.out);
	private final InputStream in = System.in;
	private final byte[] buffer = new byte[1024];
	private int ptr = 0;
	private int buflen = 0;

	private boolean hasNextByte() {
		if (ptr < buflen) {
			return true;
		} else {
			ptr = 0;
			try {
				buflen = in.read(buffer);
			} catch (IOException e) {
				e.printStackTrace();
			}
			if (buflen <= 0) {
				return false;
			}
		}
		return true;
	}

	private int readByte() {
		if (hasNextByte())
			return buffer[ptr++];
		else
			return -1;
	}

	private static boolean isPrintableChar(int c) {
		return 33 <= c && c <= 126;
	}

	private void skipUnprintable() {
		while (hasNextByte() && !isPrintableChar(buffer[ptr]))
			ptr++;
	}

	public boolean hasNext() {
		skipUnprintable();
		return hasNextByte();
	}

	public int nextInt() {
		return Integer.parseInt(next());
	}

	public String next() {
		if (!hasNext())
			throw new NoSuchElementException();
		StringBuilder sb = new StringBuilder();
		int b = readByte();
		while (isPrintableChar(b)) {
			sb.appendCodePoint(b);
			b = readByte();
		}
		return sb.toString();
	}

	public long nextLong() {
		if (!hasNext())
			throw new NoSuchElementException();
		long n = 0;
		boolean minus = false;
		int b = readByte();
		if (b == '-') {
			minus = true;
			b = readByte();
		}
		if (b < '0' || '9' < b) {
			throw new NumberFormatException();
		}
		while (true) {
			if ('0' <= b && b <= '9') {
				n *= 10;
				n += b - '0';
			} else if (b == -1 || !isPrintableChar(b)) {
				return minus ? -n : n;
			} else {
				throw new NumberFormatException();
			}
			b = readByte();
		}
	}
}