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.

Examples

Input

4
2100 2500 2700 2700


Output

2 2


Input

5
1100 1900 2800 3200 3200


Output

3 5


Input

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


Output

1 1
import java.io.IOException;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.HashSet;
import java.util.List;
import java.util.Scanner;
import java.util.Set;

public class Main {

	public static void main(String[] args) throws IOException {
		Scanner scanner = new Scanner(System.in);
		int n = scanner.nextInt();
		boolean[] b = new boolean[8];
		Arrays.fill(b, false);
		List<Integer> list = new ArrayList<>();
		Set<Integer> set = new HashSet<>();
		int c = 0;
		for(int i = 0 ; i < n; i++){
			list.add(scanner.nextInt());
		}

		for(int a : list){
			if(a < 400){
				set.add(1);
			}else if (a < 800) {
				set.add(2);
			}else if (a < 1200) {
				set.add(3);
			}else if (a < 1600) {
				set.add(4);
			}else if (a < 2000) {
				set.add(5);
			}else if (a < 2400) {
				set.add(6);
			}else if (a < 2800) {
				set.add(7);
			}else if (a < 3200) {
				set.add(8);
			}else {
				c++;
			}
		}
		c += set.size();
		if(set.size() == 0){
			System.out.println(1 + " " + c);
		}else {
			System.out.println(set.size() + " " + c);
		}
	}
}
