#include <bits/stdc++.h>
using namespace std;
#define fi first
#define se second
#define gcd __gcd
#define sz(v) (int) v.size()
#define pb push_back
#define pi pair<int,int>
#define all(v) (v).begin(), (v).end()
#define compact(v) (v).erase(unique(all(v)), (v).end())
#define FOR(i, a, b) for(int i = (a); i <= (b); i++)
#define dbg(x) "[" #x " = " << (x) << "]"
///#define int long long
namespace modulo_function{
const int _modulo = 30013; // modulo
int add(int x, int y){
return (x + y < _modulo ? x + y : x + y - _modulo);
}
int mul(int x, int y){
return (1ll * x * y) % _modulo;
}
int sub(int x, int y){
return add(x - y, _modulo);
}
int bpow(int x, int y){
int res = 1;
while(y){
if(y&1) res = mul(res, x);
x = mul(x, x);
y >>= 1;
}
return res;
}
// Only if modulo is prime number
int inv(int x){
return bpow(x, _modulo - 2);
}
}
using namespace modulo_function;
using ll = long long;
using ld = long double;
using ull = unsigned long long;
template<typename T> bool ckmx(T& a, const T& b){if(a < b) return a = b, true; return false;}
template<typename T> bool ckmn(T& a, const T& b){if(a > b) return a = b, true; return false;}
const int N = 1e5+5;
const ll MOD = 1e9+7;
const ll INF = 1e18;
struct Node{
int Mx,ways;
Node(int Mx = 0, int ways = 0): Mx(Mx), ways(ways) {}
Node operator + (const Node& q) const{
if(Mx == q.Mx) return Node(Mx, add(ways, q.ways));
return (Mx > q.Mx ? Node(Mx, ways) : q);
}
bool operator == (const Node& q) const{
return Mx == q.Mx && ways == q.ways;
}
};
struct SMT_MAX{
int trsz;
vector<Node> st;
SMT_MAX(int n): trsz(n), st((n << 2 | 1)) {}
void update(int id, int l, int r, int k, Node val){
if(l == r){
st[id] = val;
return;
}
else{
int m = l+r>>1;
if(k <= m) update(id<<1, l, m, k, val);
else{
update(id<<1|1, m+1, r, k, val);
}
st[id] = st[id << 1] + st[id << 1 | 1];
}
return;
}
Node get(int id, int l, int r, int u, int v){
if(l > v || r < u) return Node();
if(l >= u && r <= v) return st[id];
int m = l+r>>1;
return get(id << 1, l, m, u, v) + get(id << 1 | 1, m+1, r, u, v);
}
void update(int k, Node val){
return update(1, 1, trsz, k, val), void();
}
Node get(int l, int r){
return get(1, 1, trsz, l, r);
}
};
struct Trapezoid{
int a, b, c, d;
Trapezoid(int _a = 0, int _b = 0, int _c = 0, int _d = 0){
a = _a,
b = _b,
c = _c,
d = _d;
}
friend istream& operator >> (istream &inp, Trapezoid& i){
return inp >> i.a >> i.b >> i.c >> i.d, inp;
}
};
Trapezoid trapezoid[N];
vector<int> compress;
void solve()
{
int n; cin >> n;
for(int i = 1; i <= n; i++){
cin >> trapezoid[i];
compress.push_back(trapezoid[i].a);
compress.push_back(trapezoid[i].b);
}
sort(all(compress)), compact(compress);
for(int i = 1; i <= n; i++){
trapezoid[i].a = lower_bound(all(compress), trapezoid[i].a) - compress.begin() +1;
trapezoid[i].b = lower_bound(all(compress), trapezoid[i].b) - compress.begin() +1;
}
vector<pair<int,int>> Point;
for(int i = 1; i <= n; i++){
Point.push_back(make_pair(trapezoid[i].c, i));
Point.push_back(make_pair(trapezoid[i].d, -i));
}
SMT_MAX st(2 * n);
vector<Node> save(n + 1);
sort(all(Point));
Node Mx = Node();
for(int i = 0; i < sz(Point); i++){
int id = Point[i].se;
//cout << dbg(abs(id)) << dbg(Point[i].first) <<"\n";
if(id > 0){
Node value = st.get(1, trapezoid[id].a);
if(value == Node()){
save[id] = Node(1, 1);
}
else save[id] = value, save[id].Mx += 1;
//cout << dbg(save[id].Mx) <<" " << dbg(save[id].ways) <<"\n";
Mx = Mx + save[id];
}
else{
id = -id;
st.update(trapezoid[id].b, save[id]);
}
}
cout << Mx.Mx <<" " << Mx.ways <<"\n";
}
signed main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
#define name "InvMOD"
if(fopen(name".INP", "r")){
freopen(name".INP","r",stdin);
freopen(name".OUT","w",stdout);
}
int t = 1; //cin >> t;
while(t--) solve();
return 0;
}
Compilation message (stderr)
trapezoid.cpp: In function 'int main()':
trapezoid.cpp:197:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
197 | freopen(name".INP","r",stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
trapezoid.cpp:198:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
198 | freopen(name".OUT","w",stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~
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