#include <bits/stdc++.h>
using namespace std;
#define int long long int
#define double long double
#define print(a) for(auto x : a) cout << x << " "; cout << endl
const int M = 1000000007;
const int N = 3e5+9;
const int INF = 2e9+1;
const int LINF = 2000000000000000001;
inline int power(int a, int b, int mod=M) {
int x = 1;
a %= mod;
while (b) {
if (b & 1) x = (x * a) % mod;
a = (a * a) % mod;
b >>= 1;
}
return x;
}
//_ ***************************** START Below *******************************
// 10
// 1 2 4 3 7 6 1 8 10 2
vector<int> a;
int consistency1(int n){
vector<vector<int>> subs;
for(int i=0; i<n; i++){
int k = -1;
int maxi = -1e18;
//* Find maximum endings where ends < a[i]
for(int j=0; j<subs.size(); j++){
if(subs[j].back() < a[i] && subs[j].back() > maxi){
maxi = subs[j].back();
k = j;
}
}
if(k == -1) subs.push_back({a[i]});
else subs[k].push_back(a[i]);
}
return subs.size();
}
int consistency2(int n){
multiset<int> st;
for(int i=0; i<n; i++){
auto it = st.lower_bound(a[i]);
if(it != st.begin()){
--it;
st.erase(it);
}
st.insert(a[i]);
}
return st.size();
}
int practice(int n){
return 0;
}
void solve() {
int n;
cin>> n;
a.resize(n);
for(int i=0; i<n; i++) cin >> a[i];
cout << consistency1(n) << " " << consistency2(n) << endl;
}
int32_t main() {
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
int t = 1;
// cin >> t;
while (t--) {
solve();
}
return 0;
}
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