QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#708309 | #9520. Concave Hull | lzy | AC ✓ | 60ms | 12980kb | C++23 | 3.7kb | 2024-11-03 21:19:10 | 2024-11-03 21:19:16 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
#define IOS ios::sync_with_stdio(0);cin.tie(0);cout.tie(0)
typedef long long ll;
const double pi=acos(-1.0); //圆周率,精确到了15位。圆周率:3.14159265358979323846
const double eps=1e-8; //偏差值。
int sgn(double x)
{
if(fabs(x)<eps) return 0; //x==0,返回0。
else return x<0?-1:1; //x<0返回-1,x>0返回1。
}
int dcmp(double x,double y)
{
if(fabs(x-y)<eps) return 0;
else return x<y?-1:1;
}
struct Point{
ll x,y;
int id;
Point(){}
Point(ll x,ll y):x(x),y(y){}
Point operator + (Point B) {return Point(x+B.x,y+B.y);}
Point operator - (Point B) {return Point(x-B.x,y-B.y);}
Point operator * (double k) {return Point(x*k,y*k);}
Point operator / (double k) {return Point(x/k,y/k);}
bool operator == (Point B) {return sgn(x-B.x)==0&&sgn(y-B.y)==0;}
bool operator < (Point B){
return (sgn(x-B.x)<0)||(sgn(x-B.x)==0&&sgn(y-B.y)<0);
}
};
//两点间距离
double Dist(Point A,Point B) { return sqrt((A.x-B.x)*(A.x-B.x)+(A.y-B.y)*(A.y-B.y));}
typedef Point Vector;
//点积,>0锐角,<0钝角,=0直角
double Dot(Vector A,Vector B){ return A.x*B.x+A.y*B.y; }
//求向量A的长度
//有小数
double Len1(Vector A){return sqrt(Dot(A,A));}
//不开方,用于比较长度
double Lne2(Vector A){return Dot(A,A);}
//求向量A和向量B的夹角
double Angle(Vector A,Vector B){return acos(Dot(A,B)/Len1(A)/Len1(B));}
//叉积 >0在A的逆时针方向,<0在A的顺时针方向,=0共线(可能同向或反向)
ll Cross(Vector A,Vector B){return A.x*B.y-A.y*B.x;}
//已知一条直线两点a,b,求点c到直线的距离
double dist_line(Point a,Point b,Point c)
{
Point v1=b-a,v2=c-b;
return fabs(Cross(v1,v2)/Len1(v1));
}
ll S(Point a,Point b,Point c)
{
return abs(Cross(a-b,a-c));
}
int Convex_hull(Point *p,int n,Point *ch)
{
//n=unique(p,p+n)-p;//对点去重
sort(p,p+n); //对点排序:
int v=0;
//求下凸包,如果p[i]是右拐弯的,这个点不在凸包上,退回
for(int i=0;i<n;i++)
{
while(v>1&&sgn(Cross(ch[v-1]-ch[v-2],p[i]-ch[v-1]))<=0)
v--;
ch[v++]=p[i];
}
int j=v;
//求上凸包
for(int i=n-2;i>=0;i--)
{
while(v>j&&sgn(Cross(ch[v-1]-ch[v-2],p[i]-ch[v-1]))<=0)
v--;
ch[v++]=p[i];
}
if(n>1) //返回值v是凸包的顶点数
v--;
return v;
}
const int N=1e5+10;
Point p[N],ch[N],p1[N],ch1[N];
int main()
{
IOS;
int T;
cin>>T;
while(T--)
{
ll n;
cin>>n;
for(int i=0;i<n;i++)
{
cin>>p[i].x>>p[i].y;
p[i].id=i;
}
vector<ll>vis(n+10);
int t=Convex_hull(p,n,ch);
if(t==n)
{
cout<<"-1\n";
}
else
{
ll sum=0;
for(int i=0;i<t;i++)
{
long double t1;
vis[ch[i].id]=1;
t1=Cross(ch[i],ch[(i+1)%n]);
sum+=t1;
}
sum=abs(sum);
ll m=0;
for(int i=0;i<n;i++)
{
if(vis[p[i].id]==0)
{
p1[m]=p[i];
m++;
}
}
if(m<3)
{
ll max1=0;
for(int i=0;i<m;i++)
{
for(int j=0;j<t;j++)
{
ll t1=S(p1[i],ch[j],ch[(j+1)%t]);
if(t1)
max1=max(max1,sum-t1);
}
}
cout<<(ll)max1<<"\n";
}
else
{
int t1=Convex_hull(p1,m,ch1);
ll min1;
ll l=0;
for(int i=0;i<t1;i++)
{
if(S(ch1[i],ch[0],ch[1])<S(ch1[l],ch[0],ch[1]))
l=i;
}
min1=S(ch1[l],ch[0],ch[1]);
for(int i=0;i<t;i++)
{
ll x=(i+1)%t;
while(S(ch1[(l+1)%t1],ch[i],ch[x])<S(ch1[l],ch[i],ch[x]))
l=(l+1)%t1;
while(S(ch1[(l-1+t1)%t1],ch[i],ch[x])<S(ch1[l],ch[i],ch[x]))
l=(l-1+t1)%t1;
min1=min(min1,S(ch1[l],ch[i],ch[x]));
}
cout<<(ll)(sum-min1)<<"\n";
}
}
}
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: 2ms
memory: 9976kb
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: 9676kb
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: 20ms
memory: 10020kb
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: 30ms
memory: 9776kb
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: 52ms
memory: 10036kb
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: 41ms
memory: 12108kb
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: 26ms
memory: 11464kb
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: 59ms
memory: 12368kb
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: 60ms
memory: 12980kb
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: 1ms
memory: 9748kb
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