#include <bits/stdc++.h>
using namespace std;
#ifdef KURUMI
#include "algo/debug.h"
#endif
#define endl '\n'
#define fi first
#define se second
#define sz(v) (int)v.size()
#define all(v) v.begin(), v.end()
#define filter(v) v.resize(unique(all(v)) - v.begin())
#define dbg(x) "[" #x << " = " << x << "]"
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
template<typename T1, typename T2> T2 rand(T1 l, T2 r) {
return uniform_int_distribution<T2>(l, r)(rng);
}
template<typename T1, typename T2> T2 wrand(T1 l, T2 r, int seed) {
if(seed == 0) return rand(l, r);
else return (seed > 0 ? max(rand(l, r), wrand(l, r, seed - 1)) : min(rand(l, r), wrand(l, r, seed + 1)));
}
template<typename T> bool maximize(T &a, T b) {
if(a < b) {
a = b;
return true;
}else return false;
}
template<typename T> bool minimize(T &a, T b) {
if(a > b) {
a = b;
return true;
}else return false;
}
typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, int> pli;
typedef pair<ll, ll> pll;
typedef tuple<int, int, int> tp3;
const int N = 1e5 + 3;
int n;
array<int, 4> t[N];
void input() {
cin >> n;
for(int i = 1; i <= n; i++) {
cin >> t[i][0] >> t[i][2] >> t[i][1] >> t[i][3];
}
}
const int MOD = 30013;
namespace subtask_1 {
bool approve() {
return n <= 5000;
}
const int N = 5e3 + 3;
pii dp[N];
void execute() {
sort(t + 1, t + 1 + n, [&](array<int, 4> u, array<int, 4> v) {
return u[0] < v[0];
});
for(int i = 1; i <= n; i++) {
dp[i] = pii(1, 1);
for(int j = 1; j < i; j++) {
if(t[j][2] < t[i][0] && t[j][3] < t[i][1]) {
if(dp[i].fi < dp[j].fi + 1) {
dp[i].fi = dp[j].fi + 1;
dp[i].se = dp[j].se;
}else if(dp[i].fi == dp[j].fi + 1) {
(dp[i].se += dp[j].se) %= MOD;
}
}
}
}
// for(int i = 1; i <= n; i++) cout << dp[i] << endl;
int answer = max_element(dp + 1, dp + 1 + n)->fi, way = 0;
for(int i = 1; i <= n; i++) if(dp[i].fi == answer) (way += dp[i].se) %= MOD;
cout << answer << " " << way << endl;
}
}
namespace subtask_2 {
bool approve() {
return true;
}
vector<int> cps;
priority_queue<pii, vector<pii>, greater<pii>> wait;
pii dp[N];
int compress(int v) {
return lower_bound(all(cps), v) - cps.begin() + 1;
}
struct SegmentTree {
vector<pii> tr;
SegmentTree (int n) : tr(n << 2 | 3) {}
pii pull(pii u, pii v) {
if(u.fi == v.fi)
return pii(u.fi, (u.se + v.se) % MOD);
return max(u, v);
}
void update(int id, int l, int r, int p, pii v) {
if(l == r) {
if(tr[id].fi < v.fi) tr[id] = v;
else if(tr[id].fi == v.fi) tr[id] = {tr[id].fi, (tr[id].se + v.se) % MOD};
return;
}
int mid = (l + r) >> 1;
if(p <= mid) update(id << 1, l, mid, p, v);
else update(id << 1 | 1, mid + 1, r, p, v);
tr[id] = pull(tr[id << 1], tr[id << 1 | 1]);
}
pii get(int id, int l, int r, int u, int v) {
if(u > v) return pii(0, 0);
if(u <= l && r <= v) return tr[id];
int mid = (l + r) >> 1;
if(u > mid) return get(id << 1 | 1, mid + 1, r, u, v);
if(mid + 1 > v) return get(id << 1, l, mid, u, v);
return pull(get(id << 1, l, mid, u, v), get(id << 1 | 1, mid + 1, r, u, v));
}
};
void execute() {
sort(t + 1, t + 1 + n, [&](array<int, 4> u, array<int, 4> v) {
return u[0] < v[0];
});
for(int i = 1; i <= n; i++) {
cps.push_back(t[i][1]);
cps.push_back(t[i][3]);
}
sort(all(cps)); filter(cps);
SegmentTree st(sz(cps));
for(int i = 1; i <= n; i++) {
dp[i] = pii(1, 1);
// cout << dbg(t[i][0]) << dbg(t[i][1]) << dbg(t[i][2]) << dbg(t[i][3]) << endl;
while(!wait.empty() && wait.top().fi < t[i][0]) {
int j = wait.top().se;
// cout << "Update " << dbg(t[j][3]) << dbg(compress(t[j][3])) << dbg(dp[j]) << endl;
st.update(1, 1, sz(cps), compress(t[j][3]), dp[j]);
wait.pop();
}
// cout << dbg(t[i][1]) << dbg(compress(t[i][1])) << endl;
pii optimal = st.get(1, 1, sz(cps), 1, compress(t[i][1]));
maximize(dp[i], pii(optimal.fi + 1, optimal.se));
// cout << dbg(dp[i]) << endl;
wait.emplace(t[i][2], i);
}
int answer = max_element(dp + 1, dp + 1 + n)->fi, way = 0;
for(int i = 1; i <= n; i++) if(dp[i].fi == answer) (way += dp[i].se) %= MOD;
cout << answer << " " << way << endl;
}
}
void process() {
// if(subtask_1::approve()) return subtask_1::execute();
if(subtask_2::approve()) return subtask_2::execute();
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
#define task "Deeto"
if(fopen(task".inp", "r")) {
freopen(task".inp", "r", stdin);
freopen(task".out", "w", stdout);
}
int testcase = 1; // cin >> testcase;
for(int i = 1; i <= testcase; i++) {
input();
process();
}
cerr << "Saa, watashtachi no deeto hajimemashou" << endl;
cerr << "Atarashii kiseki wo koko kara hajimeru shining place nee mou ichido kimi to..." << endl;
return 0;
}
Compilation message (stderr)
trapezoid.cpp: In function 'int main()':
trapezoid.cpp:195:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
195 | freopen(task".inp", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
trapezoid.cpp:196:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
196 | freopen(task".out", "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~| # | Verdict | Execution time | Memory | Grader output |
|---|
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