QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#714077 | #9520. Concave Hull | proven | AC ✓ | 68ms | 13192kb | C++20 | 3.0kb | 2024-11-05 21:35:09 | 2024-11-05 21:35:10 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define endl '\n'
#define int long long
struct P {
int x, y, id;
bool operator < (const P &b) const {
return x != b.x ? x < b.x : y < b.y;
}
};
int cross(P x, P y) {
return x.x * y.y - x.y * y.x;
}
P operator - (P x, P y) {
P c{};
c.x = x.x - y.x;
c.y = x.y - y.y;
return c;
}
int calc(P x, P y, P z) {
P xy = y - x;
P xz = z - x;
return abs(cross(xy, xz));
}
bool check(P p, P q, P r) {
return cross(q - p, r - q) < 0;
}
vector<P> chull(vector<P> ps) {
sort(ps.begin(), ps.end());
vector<int> I{0}, used(ps.size());
for (int i = 1; i < ps.size(); i++) {
while (I.size() > 1 && !check(ps[I[I.size() - 2]], ps[I.back()], ps[i]))
used[I.back()] = 0, I.pop_back();
used[i] = 1, I.push_back(i);
}
for (int i = ps.size() - 2; i >= 0; i--) {
if (used[i])
continue;
while (I.size() > 1 && !check(ps[I[I.size() - 2]], ps[I.back()], ps[i]))
I.pop_back();
I.push_back(i);
}
vector<P> H;
for (int i = 0; i < I.size() - 1; i++)
H.push_back(ps[I[i]]);
return H;
}
int area(vector<P> &ps) {
int sum = 0;
for(int i = 0;i < ps.size();i++) {
int nxt = (i + 1) % (int)ps.size();
sum += cross(ps[i], ps[nxt]);
}
return abs(sum);
}
void solve() {
int n; cin >> n;
vector<P> pt(n);
for(int i = 0;i < n;i++) cin >> pt[i].x >> pt[i].y, pt[i].id = i;
vector<int> vis(n);
auto out = chull(pt);
auto get = [&] (P tmp) {
int mn = 5e18;
for(int i = 0;i < out.size();i++) {
int nxt = (i + 1) % (int)out.size();
mn = min(mn, calc(tmp, out[i], out[nxt]));
}
return mn;
};
for(auto [x, y, id] : out) vis[id] = 1;
vector<P> ptin;
int ans = area(out);
for(int i = 0;i < n;i++) if(!vis[i]) ptin.push_back(pt[i]);
if(ptin.size() < 3) {
if(ptin.empty()) {
cout << -1 << endl;
}
else {
int mn = 5e18;
for(auto it : ptin) {
mn = min(mn, get(it));
}
cout << ans - mn << endl;
}
return;
}
auto in = chull(ptin);
int i = 0, j = 0, mn = 5e18;
int osiz = (int)out.size(), isiz = (int)in.size();
for(int jj = 0;jj < in.size();jj++) {
int tmp = calc(out[0], out[1], in[jj]);
if(tmp < mn) {
mn = tmp;
j = jj;
}
}
for(i = 1;i < out.size();i++) {
while(calc(in[(j + 1) % isiz], out[i], out[(i + 1) % osiz]) < calc(in[j], out[i], out[(i + 1) % osiz])) j = (j + 1) % isiz;
mn = min(mn, calc(in[j], out[i], out[(i + 1) % osiz]));
}
cout << ans - mn << endl;
}
//sto SpadeZ orz
signed main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
int T = 1;
cin >> T;
while(T--) {
solve();
}
return 0;
}
这程序好像有点Bug,我给组数据试试?
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3512kb
input:
2 6 -2 0 1 -2 5 2 0 4 1 2 3 1 4 0 0 1 0 0 1 1 1
output:
40 -1
result:
ok 2 lines
Test #2:
score: 0
Accepted
time: 1ms
memory: 3672kb
input:
10 243 -494423502 -591557038 -493438474 -648991734 -493289308 -656152126 -491185085 -661710614 -489063449 -666925265 -464265894 -709944049 -447472922 -737242534 -415977509 -773788538 -394263365 -797285016 -382728841 -807396819 -373481975 -814685302 -368242265 -818267002 -344482838 -833805545 -279398...
output:
2178418010787347715 1826413114144932145 1651687576234220014 1883871859778998985 2119126281997959892 894016174881844630 2271191316922158910 1998643358049669416 1740474221286618711 1168195646932543192
result:
ok 10 lines
Test #3:
score: 0
Accepted
time: 25ms
memory: 3816kb
input:
1000 125 64661186 -13143076 302828013 -185438065 -418713797 -191594241 430218126 -397441626 354327250 -836704374 149668812 -598584998 311305970 66790541 199720625 -592356787 468137 -584752683 258775829 96211747 -358669612 -134890109 -129221188 -998432368 -277309896 -140056561 356901185 420557649 -51...
output:
1986320445246155278 1900093336073022078 1612088392301142476 2012259136539173407 1819942017252118749 1772230185841892196 1164835025329039520 1527446155241140517 1807368432185303666 1236918659444944569 1306839249967484778 1984123720246784099 1868728080720036006 667458140583450322 2127932992585026491 4...
result:
ok 1000 lines
Test #4:
score: 0
Accepted
time: 37ms
memory: 3644kb
input:
10000 9 484630042 51929469 -40468396 -517784096 98214104 -103353239 629244333 -475172587 106398764 153884485 49211709 -44865749 1 10 166321833 -247717657 406208245 668933360 13 548702216 -631976459 37150086 -292461024 707804811 -486185860 239775286 -903166050 10096571 -541890068 686103484 558731937 ...
output:
950319193795831919 1661025342421008544 1285164852091455548 1159924751776806668 1206071151805176722 794021230296144371 699991678992587791 1133990718508584290 1486311831172661605 984875884297072200 1327767982175057345 758247019006396699 1355381234262206155 1139262078529131471 1613462877860621700 12392...
result:
ok 10000 lines
Test #5:
score: 0
Accepted
time: 56ms
memory: 4360kb
input:
100 439 471536154 -312612104 155692036 -937312180 -461624056 -357636609 236656684 -911414873 -288656914 -74788431 -465779694 -381475149 -334197401 -903065737 491513067 -447615916 337664889 -852236281 -281689379 -53519178 -159101704 -920779200 -326159514 -95396204 21868593 -994282736 488425383 -41046...
output:
1973162724053130487 2054612790507830954 1726805687754843724 1699420177872986528 2129388571309147631 2198295137903288810 1697185883164440272 1219697450095721478 2027023581922285255 1674691247127206655 1673105966817209954 2179188692918747442 2146544318743443141 2230356305133660648 1676850321902993764 ...
result:
ok 100 lines
Test #6:
score: 0
Accepted
time: 38ms
memory: 4336kb
input:
100 1362 -467257672 -466669 -467054869 -478108 -466973270 -481776 -466556983 -499770 -466329414 -508693 -466248017 -511805 -466158865 -513786 -466101273 -515035 -465927700 -518748 -465717624 -522106 -465303448 -528127 -465124548 -530726 -464649746 -536693 -464554872 -537799 -464478196 -538680 -46416...
output:
1666097696993497 1791366071767866 1806187278469532 1683419854733713 1685891971828916 1730190225081651 1787048201197565 1850308098208660 1710694884375502 1826363113637639 1816375352374659 2047431269497691 1549806516003854 1829438662895747 1678707854135065 1687423392883819 2121960009997761 16687219538...
result:
ok 100 lines
Test #7:
score: 0
Accepted
time: 27ms
memory: 9232kb
input:
2 62666 -486101704 -505730259 -486101698 -506082699 -486101689 -506111362 -486101682 -506126031 -486101528 -506293759 -486101259 -506556385 -486101196 -506613483 -486101154 -506648604 -486100935 -506831392 -486100631 -507083675 -486100470 -507199151 -486100233 -507368923 -486100193 -507397039 -48609...
output:
2178736946152219010 1825181940245096152
result:
ok 2 lines
Test #8:
score: 0
Accepted
time: 68ms
memory: 13192kb
input:
2 100000 301945097 76373292 467957663 -286424714 8245445 -597212507 -474204621 -708828667 184159460 105942538 443435905 -429212625 490658771 -382198656 82512047 -612522436 -228221388 -965890088 394789011 -145801151 -106120174 -528202395 428939626 -194437311 497429477 -527407728 365739746 -114818962 ...
output:
2502889432701099511 2267250485735988121
result:
ok 2 lines
Test #9:
score: 0
Accepted
time: 51ms
memory: 12568kb
input:
2 100000 221128057 -975244780 -618765360 -785575858 422567455 -906331476 -988680318 -150037424 -929870145 367887908 -757813541 -652471177 291995621 -956419655 -785381507 619012026 468864522 -883270094 -588416522 808557973 859345881 511394814 988105866 153775152 216931298 -976186873 467050734 8842305...
output:
6283183114882825575 6283183188903854361
result:
ok 2 lines
Test #10:
score: 0
Accepted
time: 0ms
memory: 3664kb
input:
7 5 -1000000000 -1000000000 1000000000 -1000000000 1000000000 1000000000 1 0 -1 0 5 1000000000 1000000000 -1000000000 -1000000000 -2 0 -1 0 1 -1 6 1000000000 1000000000 -1000000000 -1000000000 -3 0 -1 0 0 -1 1 -1 4 -1000000000 -1000000000 1000000000 -1000000000 1000000000 1000000000 -1000000000 1000...
output:
4000000000000000000 7000000000 9000000001 -1 6000000002000000000 7999999998000000000 -1
result:
ok 7 lines
Extra Test:
score: 0
Extra Test Passed