#include <bits/stdc++.h>
using namespace std;
#define MAXN 100005
#define MOD 30013
#define FOR(i, a, b) for(int i = a; i <= b; i++)
#define f first
#define s second
int n, stc[MAXN * 2 * 4];
pair<int, int> sp[MAXN], ep[MAXN];
pair<int, short> dp[MAXN];
int query_c(int i, int l, int r, pair<int, int> rng){
if(rng.second < l || r < rng.first) return 0;
if(rng.first <= l && r <= rng.second) return stc[i];
return max(query_c(i * 2, l, (l + r) / 2, rng), query_c(i * 2 + 1, (l + r) / 2 + 1, r, rng));
}
void update_c(int i, int l, int r, pair<int, int> upd){
if(upd.f < l || r < upd.f) return;
if(l == r) {
stc[i] = upd.s;
return;
}
update_c(i * 2, l, (l + r) / 2, upd);
update_c(i * 2 + 1, (l + r) / 2 + 1, r, upd);
stc[i] = max(stc[i * 2], stc[i * 2 + 1]);
}
void update_n(int i, int l, int r, pair<int, int> upd){
if(upd.f < l || r < upd.f) return;
if(l == r) {
stc[i] = upd.s;
return;
}
update_n(i * 2, l, (l + r) / 2, upd);
update_n(i * 2 + 1, (l + r) / 2 + 1, r, upd);
stc[i] = (stc[i * 2] + stc[i * 2 + 1]) % MOD;
}
int query_n(int i, int l, int r, pair<int, int> rng){
if(rng.second < l || r < rng.first) return 0;
if(rng.first <= l && r <= rng.second) return stc[i];
return (query_n(i * 2, l, (l + r) / 2, rng) + query_n(i * 2 + 1, (l + r) / 2 + 1, r, rng)) % MOD;
}
int main(){
cin >> n;
vector<pair<int, pair<int, int>>> ple;
FOR(i, 1, n){
cin >> sp[i].f >> ep[i].f;
cin >> sp[i].s >> ep[i].s;
ple.push_back({sp[i].s, {0, i}});
ple.push_back({ep[i].s, {1, i}});
}
// coordinate compression
vector<pair<int, pair<int, int>>> pls;
sort(begin(ple), end(ple));
FOR(i, 1, 2 * n){
if(ple[i - 1].s.f == 0){
sp[ple[i - 1].s.s].s = i;
pls.push_back({sp[ple[i - 1].s.s].f, {0, ple[i - 1].s.s}});
}else{
ep[ple[i - 1].s.s].s = i;
pls.push_back({ep[ple[i - 1].s.s].f, {1, ple[i - 1].s.s}});
}
}
sort(begin(pls), end(pls));
FOR(i, 0, MAXN * 2 * 4 - 1) stc[i] = 0;
/* FOR(i, 0, 2*n){
cout << " " << query_n(1, 0, 2*n, i);
}
cout << endl;
FOR(i, 0, 2*n){
cout << " " << query_c(1, 0, 2*n, {i, i});
}
cout << endl; */
for(auto pi : pls){
int i = pi.s.s;
if(pi.s.f == 0){ // start point
dp[i].f = query_c(1, 0, 2 * n, {0, sp[i].s - 1}) + 1;
// cout << "DP " << i << " EQUALS " << dp[i].f << " of ct " << dp[i].s << endl;
}/*else{
int qi = query_c(1, 0, 2 * n, {0, ep[i].s - 1});
if(qi > dp[i].f) goto update;
int lo = ep[i].s, hi = 2 * n;
if(qi < dp[i].f){
while(lo < hi){
int mid = (lo + hi + 1) / 2;
// cout << " FINDING NEMOi FOR THE BELOW " << 0 << " to " << mid << " GIVES " << query_c(1, 0, 2 * n, {0, mid}) << endl;
if(query_c(1, 0, 2 * n, {0, mid}) < dp[i].f){
lo = mid;
}else{
hi = mid - 1;
}
}
// replace num valid ways with dp[i].s for range (ep[i].s)...lo
// cout << " ALERT 1: we update " << ep[i].s << " TO " << lo << " with complete refurbish to " << dp[i].s << endl;
/* FOR(i, 0, 2*n){
cout << " " << query_n(1, 0, 2*n, i);
}
cout << endl;
FOR(i, 0, 2*n){
cout << " " << query_c(1, 0, 2*n, {i, i});
}
cout << endl;
if(lo == 2 * n) goto update;
lo ++;
}
int si = lo;
if(query_c(1, 0, 2 * n, {0, lo}) != dp[i].f) goto update;
hi = 2 * n;
while(lo < hi){
// cout << ((lo + hi) / 2) << " => " << query_c(i, 0, 2 * n, {0, (lo + hi) / 2}) << endl;
int mid = (lo + hi + 1) / 2;
if(query_c(1, 0, 2 * n, {0, mid}) == dp[i].f){
lo = mid;
}else{
hi = mid - 1;
}
}
// add num valid ways with dp[i].s for range si...lo
/*cout << " ALERT 2: we update " << si << " TO " << lo << " with add to " << dp[i].s << endl;
FOR(j, 0, 2*n){
cout << " " << query_n(1, 0, 2*n, j);
}
cout << endl;
FOR(j, 0, 2*n){
cout << " " << query_c(1, 0, 2*n, {j, j});
}
cout << endl;
}
update:;
*/else {
// cout << " => " << dp[i].f << endl;
update_c(1, 0, 2 * n, {ep[i].s, dp[i].f});
/* cout << " ALERT 3" << endl;
FOR(i, 0, 2*n){
cout << " " << query_c(1, 0, 2*n, {i, i});
}
cout << endl; */
}
}
// FOR(i, 1, n) cout << dp[i].f << endl;
priority_queue<pair<int, pair<int, int>>> pq;
FOR(i, 1, n) pq.push({-dp[i].f, {-sp[i].f, i}});
FOR(i, 0, MAXN * 2 * 4 - 1) stc[i] = 0;
dp[0].s = 1, ep[0].s = 0;
update_n(1, 0, 2*n, {0, 1});
/*FOR(i, 0, 2*n){
cout << " " << query_n(1, 0, 2*n, {i, i});
}
cout << endl;*/
int prv = pq.top().f, ptr = 1;
vector<pair<int, int>> v2p, vp;
v2p.push_back({0, 0});
while(pq.size()){
// cout << "QUERY " << -pq.top().f << " ~ " << -pq.top().s.f << " => " << pq.top().s.s << endl;
if(pq.top().f != prv){
// cout << -pq.top().f << " " << endl;
for(auto i : v2p) {
update_n(1, 0, 2 * n, {ep[i.s].s, 0});
// cout << " " << i.s << " ";
}
ptr = 0;
// cout << endl;
v2p.clear();
swap(v2p, vp);
sort(begin(v2p), end(v2p));
}
prv = pq.top().f;
int i = pq.top().s.s; pq.pop();
while(ptr != v2p.size() && v2p[ptr].f < sp[i].f){
update_n(1, 0, 2 * n, {ep[v2p[ptr].s].s, dp[v2p[ptr].s].s});
ptr++;
}
dp[i].s = query_n(1, 0, 2 * n, {0, sp[i].f - 1});
vp.push_back({ep[i].f, i});
/*FOR(i, 0, 2*n){
cout << " " << query_n(1, 0, 2*n, {i, i});
}
cout << endl;*/
}
int cr = 0;
FOR(i, 1, n) cr = max(cr, dp[i].f);
cout << cr;
int nr = 0;
FOR(i, 1, n) if(dp[i].f == cr) nr = (nr + dp[i].s) % MOD;
cout << " " << nr << endl;
}
Compilation message
trapezoid.cpp:107:17: warning: "/*" within comment [-Wcomment]
107 | /* FOR(i, 0, 2*n){
|
trapezoid.cpp:136:13: warning: "/*" within comment [-Wcomment]
136 | /*cout << " ALERT 2: we update " << si << " TO " << lo << " with add to " << dp[i].s << endl;
|
trapezoid.cpp: In function 'int main()':
trapezoid.cpp:196:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
196 | while(ptr != v2p.size() && v2p[ptr].f < sp[i].f){
| ~~~~^~~~~~~~~~~~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
5724 KB |
Output is correct |
| 2 |
Correct |
1 ms |
5724 KB |
Output is correct |
| 3 |
Partially correct |
2 ms |
5724 KB |
Partially correct |
| 4 |
Correct |
4 ms |
5724 KB |
Output is correct |
| 5 |
Partially correct |
5 ms |
5724 KB |
Partially correct |
| 6 |
Partially correct |
7 ms |
5976 KB |
Partially correct |
| 7 |
Correct |
7 ms |
5980 KB |
Output is correct |
| 8 |
Partially correct |
9 ms |
6108 KB |
Partially correct |
| 9 |
Partially correct |
18 ms |
6488 KB |
Partially correct |
| 10 |
Correct |
35 ms |
7456 KB |
Output is correct |
| 11 |
Partially correct |
59 ms |
7752 KB |
Partially correct |
| 12 |
Partially correct |
98 ms |
9452 KB |
Partially correct |
| 13 |
Partially correct |
121 ms |
10052 KB |
Partially correct |
| 14 |
Partially correct |
144 ms |
12328 KB |
Partially correct |
| 15 |
Partially correct |
159 ms |
12560 KB |
Partially correct |
| 16 |
Partially correct |
172 ms |
12324 KB |
Partially correct |
| 17 |
Partially correct |
171 ms |
13116 KB |
Partially correct |
| 18 |
Correct |
171 ms |
13064 KB |
Output is correct |
| 19 |
Partially correct |
204 ms |
13132 KB |
Partially correct |
| 20 |
Partially correct |
198 ms |
13628 KB |
Partially correct |
