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++ (GCC 9.2.1) (judge verdict: Wrong Answer)

#include<bits/stdc++.h>
#include<ctype.h>
# define pb push_back
#define fst first
#define sec second
#define For(i,a,b) for(int i=a;i<b;i++)
#define ll long long int
#define ull unsigned long long int
#define mod 1000000007
#define fo(i,n) for(ll i=0;i<n;i++)
#define endl "\n"
#define rev(i,n) for(ll i=n-1;i>=0;i--)
#define fo1(i,n) for(ll i=1;i<=n;i++)
#define boolsize 1000001
#define pi pair<ll,ll>
#define vi vector<ll>
#define vii vector<pi>
using namespace std;
template<typename T>
void showvector(vector <T> v)
{
    for(T x:v)
        cout<<x<<" ";
    cout<<endl;

}
template<typename T>
void showvector1(vector <T> v)
{
    ll n=v.size();
    fo1(i,n-1)
        cout<<v[i]<<endl;

}
template<typename T>
void showset(set <T> s)
{
    for(T x: s)
        cout<<x<<" ";
    cout<<endl;
}
template<class T>
void showvectorpair(vector<T> v)
{
    for(auto it=v.begin();it!=v.end();it++)
        cout<<it->first<<" "<<it->second<<endl;
    cout<<endl;
}
template<typename T,typename P>
void showmap(map <T,P> m)
{
    for(auto it=m.begin();it!=m.end();it++)
        cout<<it->first<<" "<<it->second<<endl;
    cout<<endl;
}
template<typename T>
bool comp(T a,T b)
{
    return (a>b);
}
template<class T>
bool comppair(T a,T b)
{
    if(a.first==b.first)
        return(a.second>b.second);
    return (a.first>b.first);
}
bool sameparity(ll a,ll b)
{
    return (a%2==b%2);
}
bool difparity(ll a,ll b)
{
    return !(a%2==b%2);
}
bool isprime(ll x)
{   if(x<=1)
     return false;
    for(ll i=2;i<=sqrt(x);i++)
    {
        if(x%i==0)
            return false;
    }
    return true;
}
bool iseven(ll x)
{
    return !(x%2);
}
bool isodd(ll x)
{
    return (x%2);
}
/// check for test case before submitting
void vfun()
{
    ll n,k;
    cin>>n;
    vector <ll> v(n);
    fo(i,n)
    cin>>v[i];

}

int main()
{
    #ifndef ONLINE_JUDGE
    freopen("inputh.txt", "r", stdin);
    freopen("outputh.txt", "w", stdout);
    #endif
    ios_base::sync_with_stdio(0); ///cant use scanf, printf
    cin.tie(0);cout.tie(0); /// no longer auto flush cout before each cin, remove for interactive
    //cout << fixed << setprecision(11); /// no scientific output
    ll test=1;
    //cin>>test;
    while(test--)
    {

            ll n,x;
            cin>>n;
            ll p=0;
            set <ll> s;
            fo(i,n)
            {
                cin>>x;
                x/=100;
                if(x>=0 && x<=3)
                    s.insert(1);
                else if(x>=4 && x<=7)
                    s.insert(2);
                else if(x>=8 && x<=11)
                    s.insert(3);
                else if(x>=12 && x<=15)
                    s.insert(4);
                else if(x>=16 && x<=19)
                    s.insert(5);
                else if(x>=20 && x<=23)
                    s.insert(6);
                else if(x>=24 && x<=27)
                    s.insert(7);
                else if(x>=28 && x<=31)
                    s.insert(8);
                else
                    p++;

            }
            cout<<s.size()<<" "<<s.size()+p;
//         if(vfun())
//            cout<<"YES\n";
//         else
//            cout<<"NO\n";
    }
}
///before sub
/// check for value of zero and single input in array
///loop vars,1LL in mult, equal, one, bounds, int v ll, endl, finish taking inputs
/// check whether test cases are given or not