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 C++14 (GCC 5.4.1) (judge verdict: Wrong Answer)

/*
    なせば大抵なんとかなる！
*/

#define VERNIY st();int ver=0,niy=0

#include <stdio.h>
#include <string.h>
#include <ctype.h>
#include <stdlib.h>
#include <math.h>
#include <time.h>
#include <limits.h>
#include <float.h>
#include <iostream>
#include <algorithm>
#include <string>
#include <iterator>
#include <vector>
#include <map>
#include <queue>
#include <utility>
#include <functional>
#define LLU unsigned long long int
#define LL long long int
using namespace std;
#define Lfmax DBL_MAX
#define LLUmax ULLONG_MAX
#define LLmax LLONG_MAX
#define dmax INT_MAX
#define vd vector<int>
#define vpd vector<pair<int,int>>
#define vLL vector<long long int>
#define vpLL vector<pair<long long int,long long int>>
#define vLLU vector<unsigned long long int>
#define vpLLU vector<pair<unsigned long long int,unsigned long long int>>
#define pd pair<int,int>
#define pLL pair<long long int,long long int>
#define pLLU pair<unsigned long long int,unsigned long long int>
#define qd queue<int>
#define qpd queue<pair<int,int>>
#define maxpqd priority_queue<int>
#define minpqd priority_queue<int, vector<int>, greater<int>>
#define fr front
#define pb push_back
#define mp make_pair
#define fi first
#define sec second
#define debugarr(a,b) for(int i=0 ; i<b ; i++)printf("%d ",a[i]);printf("\n")
#define newline printf("\n")
#define forin(a,b,c) for(int a=b ; a<c ; a++)
#define forineq(a,b,c) for(int a=b ; a<=c ; a++)
#define forde(a,b,c) for(int a=b ; a>=c ; a--)
#define UPC(oo) (oo>='A' && oo<='Z')
#define LWC(oo) (oo>='a' && oo<='z')
#define DGT(oo) (oo>='0' && oo<='9')
#define UPCVOC(oo) (oo=='A' || oo=='E' || oo=='I' || oo=='U' || oo=='O')
#define LWCVOC(oo) (oo=='a' || oo=='e' || oo=='i' || oo=='u' || oo=='o')

inline void scd(int &a){scanf("%d",&a);}
inline void scdd(int &a,int &b){scanf("%d %d",&a,&b);}
inline void sctd(int &a,int &b,int &c){scanf("%d %d %d",&a,&b,&c);}
inline void sctlld(LL &a,LL &b,LL &c){scanf("%I64d %I64d %I64d",&a,&b,&c);}
inline void scdlld(LL &a,LL &b){scanf("%I64d %I64d",&a,&b);}
inline void sclld(LL &a){scanf("%I64d",&a);}
inline void scllu(LLU &a){scanf("%I64u",&a);}
inline void scdllu(LLU &a,LLU &b){scanf("%I64u %I64u",&a,&b);}
inline void sctllu(LLU &a,LLU &b,LLU &c){scanf("%I64u %I64u %I64u",&a,&b,&c);}

template<class Ver>
inline void prd(Ver a){cout<<a<<endl;};
template<class Ver>
inline void prdd(Ver a,Ver b){cout<<a<<" "<<b<<endl;};
template<class Ver>
inline void prtd(Ver a, Ver b, Ver c){cout<<a<<" "<<b<<" "<<c<<endl;};

inline void debug(){printf("asd\n");}
template<class Ver>
inline void debugd(Ver a){cout<<"--- "<<a<<endl;};
template<class Ver>
inline void debugdd(Ver a,Ver b){cout<<"--- "<<a<<" "<<b<<endl;};
template<class Ver>
inline void debugtd(Ver a,Ver b,Ver c){cout<<"--- "<<a<<" "<<b<<" "<<c<<endl;};

#define grav 9.8
#define pi 3.14159265

void st()
{
	ios_base::sync_with_stdio(0);
	cin.tie(0);
}

int main()
{
	VERNIY;
	int c[]={0,0,0,0,0,0,0,0,0};
	int tdk=0;
	scd(ver);
	forin(i,0,ver)
	{
		scd(niy);
		if(niy<=399)
		{
			c[0]++;
		}
		else if(niy<=799)
		{
			c[1]++;
		}
		else if(niy<=1199)
		{
			c[2]++;
		}
		else if(niy<=1599)
		{
			c[3]++;
		}
		else if(niy<=1999)
		{
			c[4]++;
		}
		else if(niy<=2399)
		{
			c[5]++;
		}
		else if(niy<=2799)
		{
			c[6]++;
		}
		else if(niy<=3199)
		{
			c[7]++;
		}
		else
		tdk++;
	}
	int d=0;
	forin(i,0,8)
	{
		if(c[i]>0)
		d++;
	}
	if(tdk==0)
	prdd(d,d);
	else if(tdk==ver)
	{
		prdd(0,(d+tdk)<=8?(d+tdk):8);
	}
	else
	{
		if(tdk<=d)
		{
			prdd(d,(d+tdk)<=8?(d+tdk):8);
		}
		else
		{
			prdd(d>0?d:0,(d+tdk)<=8?(d+tdk):8);
		}
	}

	return 0;
}