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.util.HashSet;
import java.util.Scanner;
import java.util.Set;

public class Main {

	public static void main(String args[]) {

		Scanner sc = new Scanner(System.in);
		int N = sc.nextInt();
		int allnum = 0;

		Set<String> colorset = new HashSet<>();
		for(int i=0;i<N;i++) {
			int a = sc.nextInt();
			String c = color(a);

			if(c.equals("all")) {
				allnum++;
			}else{
				colorset.add(c);
			}
		}

		int min = colorset.size()==0 ? 1 : colorset.size();
		int max = colorset.size()==0 ? allnum : min + allnum;
		System.out.println(min + " " + max);
	}

	public static String color(int rate) {
		if(rate < 400) {
			return "gray";
		}else if(rate < 800) {
			return "brown";
		}else if(rate < 1200) {
			return "green";
		}else if(rate < 1600) {
			return "skyblue";
		}else if(rate < 2000) {
			return "blue";
		}else if(rate < 2400) {
			return "yellow";
		}else if(rate < 2800) {
			return "orange";
		}else if(rate < 3200) {
			return "red";
		}else {
			return "all";
		}
	}
}
