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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#678165 | #9520. Concave Hull | ucup-team3161# | AC ✓ | 142ms | 19488kb | C++17 | 3.4kb | 2024-10-26 14:10:59 | 2024-10-30 01:30:29 |
Judging History
answer
#include<bits/stdc++.h>
#define For(i,a,b) for(int i=(a);i<=(b);++i)
#define Rep(i,a,b) for(int i=(a);i>=(b);--i)
#define int long long
using namespace std;
inline int read()
{
int x;cin>>x;return x;
}
#define fi first
#define se second
#define pb push_back
#define mkp make_pair
typedef pair<int,int>pii;
typedef vector<int>vi;
#define maxn 250005
#define inf 0x3f3f3f3f
typedef double db;
const db eps=1e-8,pi=3.14159265358979323846;
int sgn(db x){return x<-eps?-1:x>eps;}
int cmp(db a,db b){return sgn(a-b);}
struct P{
int x,y,id;
P(int x=0,int y=0):x(x),y(y){}
P&operator +=(P o){return x+=o.x,y+=o.y,*this;}
P&operator -=(P o){return x-=o.x,y-=o.y,*this;}
P&operator *=(int o){return x*=o,y*=o,*this;}
P&operator /=(int o){return x/=o,y/=o,*this;}
friend P operator +(P a,P b){return a+=b;}
friend P operator -(P a,P b){return a-=b;}
friend P operator *(P a,int b){return a*=b;}
friend P operator /(P a,int b){return a/=b;}
friend bool operator <(P a,P b){return fabs(a.x-b.x)<eps?a.y<b.y:a.x<b.x;}
friend bool operator ==(P a,P b){return cmp(a.x,b.x)==0 && cmp(a.y,b.y)==0;}
friend bool operator !=(P a,P b){return !(a==b);}
friend int operator %(P a,P b){return a.x*b.x+a.y*b.y;} // dot
friend int operator *(P a,P b){return a.x*b.y-a.y*b.x;} // cross
P rot90(){return P(-y,x);}
db ang(){return atan2(y,x);}
db len(){return sqrt(x*x+y*y);}
int len2(){return x*x+y*y;}
int half(){return sgn(y)==1||(sgn(y)==0&&sgn(x)>=0);}
// P unit(){return ((*this))/len();}
void read(){cin>>x>>y;}
void out(){cout<<"("<<x<<","<<y<<")"<<endl;}
};
bool cmp_dir(P a,P b){
if(a.half()!=b.half())return a.half()<b.half();
return sgn(a*b)>0;
}
db dis(P a,P b){return (a-b).len();}
int cross(P a,P b,P c){
// (a->b)*(a->c)
return (b.x-a.x)*(c.y-a.y)-(b.y-a.y)*(c.x-a.x);
}
int cmp3(P a,P b,P c){
return sgn(cross(a,b,c));
}
vector<P>convex(vector<P>a){
int n=a.size(),m=0; if(n<=2)return a;
sort(a.begin(),a.end());
vector<P>st(n*2); int tp=0;
For(i,0,n-1){
while(tp>1 && cmp3(st[tp-2],st[tp-1],a[i])<=0)--tp;
st[tp++]=a[i];
}
int t=tp;
Rep(i,n-2,0){
while(tp>t && cmp3(st[tp-2],st[tp-1],a[i])<=0)--tp;
st[tp++]=a[i];
}
st.resize(tp-1);
return st;
}
int n;
vector<P>a;
bool vis[maxn];
int area(vector<P>a){
int res=0; int n=a.size();
For(i,0,n-1) res+=a[i]*a[(i+1)%n];
return res;
}
int S(P a,P b,P c){
return abs(cross(a,b,c));
}
void work()
{
n=read();
For(i,0,n) vis[i]=0;
a.resize(n);
For(i,0,n-1){
a[i].x=read(),a[i].y=read();
a[i].id=i;
}
auto b=convex(a);
vector<P>c;
for(auto p:b) vis[p.id]=1;
For(i,0,n-1) if(!vis[i]) c.pb(a[i]);
if(!c.size()){
puts("-1");
return;
}
c=convex(c);
int s=area(b);
int mn=4e18;
int p=0;
For(i,0,c.size()-1) if(S(b[0],b[1],c[i]) < S(b[0],b[1],c[p])) p=i;
mn=min(mn,S(b[0],b[1],c[p]));
For(i,0,b.size()-1){
int ii=(i+1)%b.size();
while(S(b[i],b[ii],c[(p+1)%c.size()]) < S(b[i],b[ii],c[p])) p=(p+1)%c.size();
while(S(b[i],b[ii],c[(p-1+c.size())%c.size()]) < S(b[i],b[ii],c[p])) p=(p-1+c.size())%c.size();
mn=min(mn,S(b[i],b[ii],c[p]));
}
cout<<s-mn<<"\n";
}
signed main()
{
// cout<<(4.5*sqrt(2))<<"\n";
int T=read();
while(T--)work();
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: 3632kb
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: 3536kb
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: 66ms
memory: 3692kb
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: 89ms
memory: 3624kb
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: 136ms
memory: 4744kb
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: 112ms
memory: 4708kb
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: 65ms
memory: 12300kb
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: 140ms
memory: 19488kb
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: 142ms
memory: 16416kb
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: 3516kb
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