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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#680825 | #9520. Concave Hull | ucup-team3474# | AC ✓ | 120ms | 11944kb | C++23 | 2.9kb | 2024-10-26 22:55:33 | 2024-10-30 01:32:11 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std ;
int sgn(long long x)
{
if(x < 0) return -1 ;
if(x > 0) return 1 ;
return 0 ;
}
struct point {
int x, y;
point() {}
point(int x2, int y2) { x = x2, y = y2; }
void input() {
int x2, y2;
cin >> x2 >> y2;
x = x2;
y = y2;
}
point operator+(const point &s) const { return (point){x + s.x, y + s.y}; }
point operator-(const point &s) const { return (point){x - s.x, y - s.y}; }
bool operator<(point b) const { return x - b.x == 0 ? y - b.y < 0 : x < b.x; }
};
using vec = point ;
long long cross(vec s, vec t) { return 1ll * s.x * t.y - 1ll * s.y * t.x; }
void Convex_Hull(vector<point> P, vector<point> &res, int flag = 1) {
int n = P.size();
res.resize(0);
res.resize(n * 2);
sort(P.begin(), P.end());
int now = -1;
for (int i = 0; i < (int)P.size(); i++) {
while (now > 0 && sgn(cross(res[now] - res[now - 1], P[i] - res[now - 1])) < flag) now--;
res[++now] = P[i];
}
int pre = now;
for (int i = n - 2; i >= 0; i--) {
while (now > pre && sgn(cross(res[now] - res[now - 1], P[i] - res[now - 1])) < flag) now--;
res[++now] = P[i];
}
res.resize(now);
}
void solve()
{
int n ;
cin >> n ;
vector<point> p(n) ;
for(int i = 0 ; i < n ; i ++) p[i].input() ;
vector<point> A ;
Convex_Hull(p , A) ;
set<point> s ;
for(int i = 0 ; i < n ; i ++) s.insert(p[i]) ;
for(auto u : A) s.erase(u) ;
vector<point> p2 ;
for(auto u : s) p2.push_back(u) ;
if(p2.empty())
{
cout << -1 << '\n' ;
return ;
}
long long ans = 0 ;
vector<point> pp = A ;
for (int i = 0; i < (int)pp.size(); i++) ans += cross(pp[i], pp[(i + 1) % (int)pp.size()]);
ans = abs(ans) ;
long long mn = 9e18 ;
if(p2.size() <= 3)
{
int m = A.size() ;
for(int i = 0 ; i < m ; i ++)
{
point u = A[i] ;
point v = A[(i + 1) % m] ;
for(auto w : p2) mn = min(mn , abs(cross(v - u , w - u))) ;
}
}
else
{
vector<point> B ;
Convex_Hull(p2 , B) ;
int m = A.size() ;
int m2 = B.size() ;
for(int i = 0 , j = 0 ; i < m ; i ++)
{
point u = A[i] ;
point v = A[(i + 1) % m] ;
while(true)
{
point w = B[j] ;
point w2 = B[(j + 1) % m2] ;
long long z = abs(cross(w - u , v - u)) ;
long long z2 = abs(cross(w2 - u , v - u)) ;
mn = min({mn , z , z2}) ;
if(z2 <= z) j += 1 ;
else break ;
}
}
}
cout << ans - mn << '\n' ;
}
int main()
{
std::ios::sync_with_stdio(false) , cin.tie(0) ;
int T ;
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: 1ms
memory: 3812kb
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: 3656kb
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: 34ms
memory: 3732kb
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: 44ms
memory: 3568kb
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: 69ms
memory: 4180kb
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: 60ms
memory: 3984kb
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: 35ms
memory: 7388kb
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: 106ms
memory: 11536kb
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: 120ms
memory: 11944kb
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: 3560kb
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