QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#721069 | #9520. Concave Hull | ffffyc | WA | 33ms | 10256kb | C++14 | 3.6kb | 2024-11-07 15:09:07 | 2024-11-07 15:09:11 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
#define ll long long
namespace IO{//by cyffff
int len=0;
char ibuf[(1<<21)+1],*iS,*iT,out[(1<<25)+1];
#if ONLINE_JUDGE
#define gh() (iS==iT?iT=(iS=ibuf)+fread(ibuf,1,(1<<21)+1,stdin),(iS==iT?EOF:*iS++):*iS++)
#else
#define gh() getchar()
#endif
#define reg register
inline int read(){
reg char ch=gh();
reg int x=0;
reg char t=0;
while(ch<'0'||ch>'9') t|=ch=='-',ch=gh();
while(ch>='0'&&ch<='9') x=x*10+(ch^48),ch=gh();
return t?-x:x;
}
inline void putc(char ch){
out[len++]=ch;
}
template<class T>
inline void write(T x){
if(x<0)putc('-'),x=-x;
if(x>9)write(x/10);
out[len++]=x%10+48;
}
inline void flush(){
fwrite(out,1,len,stdout);
len=0;
}
inline char getc(){
char ch=gh();
while(ch<'A'||ch>'Z') ch=gh();
return ch;
}
}
using IO::read;
using IO::write;
using IO::flush;
using IO::getc;
using IO::putc;
#define pii pair<int,int>
#define mpr make_pair
#define fir first
#define sec second
const int N=1e5+10;
struct Point{
ll x,y;
Point(ll X=0,ll Y=0){ x=X,y=Y; }
inline friend ll operator*(const Point &a,const Point &b){ return 1ll*a.x*b.y-1ll*a.y*b.x; }
inline friend Point operator+(const Point &a,const Point &b){ return Point(a.x+b.x,a.y+b.y); }
inline friend Point operator-(const Point &a,const Point &b){ return Point(a.x-b.x,a.y-b.y); }
inline friend bool operator<(const Point &a,const Point &b){ return a.x==b.x?a.y<b.y:a.x<b.x; }
inline ll calc(){ return 1ll*x*x+1ll*y*y; }
}a[N];
inline ll area(Point a,Point b,Point c){
return abs((b-a)*(c-a));
}
inline ll area(int i,int j,int k){
return area(a[i],a[j],a[k]);
}
int n,stk[N],stk2[N*2],vis[N];
int main(){
int QT=read();
while(QT--){
n=read();
for(int i=1;i<=n;i++)
a[i].x=read(),a[i].y=read();
sort(a+1,a+n+1);
int top=0,top2=0;
for(int i=1;i<=n;i++){
while(top>1&&(a[stk[top]]-a[stk[top-1]])*(a[i]-a[stk[top-1]])<=0) vis[stk[top]]--,top--;
stk[++top]=i,vis[i]++;
}
int cur=top;
for(int i=n-1;i>=1;i--){
while(top>cur&&(a[stk[top]]-a[stk[top-1]])*(a[i]-a[stk[top-1]])<=0) vis[stk[top]]--,top--;
stk[++top]=i,vis[i]++;
}
top--;
bool fl=0;
for(int i=1;i<=n;i++)
fl|=!vis[i];
// for(int i=1;i<=top;i++)
// printf("(%d,%d) ",a[stk[i]].x,a[stk[i]].y);puts("");
if(!fl){
write(-1),putc('\n');
for(int i=1;i<=n;i++)
vis[i]=0;
continue;
}
for(int i=1;i<=n;i++){
if(vis[i]) continue;
while(top2>1&&(a[stk2[top2]]-a[stk2[top2-1]])*(a[i]-a[stk2[top2-1]])<=0) top2--;
stk2[++top2]=i;
}
cur=top2;
for(int i=n-1;i>=1;i--){
if(vis[i]||i==stk2[cur]) continue;
while(top2>cur&&(a[stk2[top2]]-a[stk2[top2-1]])*(a[i]-a[stk2[top2-1]])<=0) top2--;
stk2[++top2]=i;
}
if(top2>1) top2--;
// for(int i=1;i<=n;i++)
// printf("(%d,%d) ",a[i].x,a[i].y);puts("");
// for(int i=1;i<=top2;i++)
// printf("(%d,%d) ",a[stk2[i]].x,a[stk2[i]].y);puts("");
ll s=0,mn=4e18;
for(int i=3;i<=top;i++)
s+=area(stk[1],stk[i-1],stk[i]);
// printf("%d\n",s);
for(int i=1;i<=top2;i++)
stk2[i+top2]=stk2[i];
for(int i=1,j=1;i<=top;i++){
int p1=stk[i],p2=i==top?stk[1]:stk[i+1];
while(j<top2*2&&area(p1,p2,stk2[j])>=area(p1,p2,stk2[j+1])) j++;
// printf("%d %d %d %d\n",p1,p2,stk2[j],area(p1,p2,stk2[j]));
mn=min(mn,area(p1,p2,stk2[j]));
}
write(s-mn),putc('\n');
for(int i=1;i<=n;i++)
vis[i]=0;
}
flush();
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 5700kb
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: 5772kb
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: 14ms
memory: 9692kb
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: 18ms
memory: 7788kb
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: 29ms
memory: 7796kb
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: 16ms
memory: 7948kb
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: 8ms
memory: 8388kb
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: 33ms
memory: 8300kb
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: 31ms
memory: 10256kb
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: 5712kb
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: -3
Extra Test Failed : Wrong Answer on 2
time: 1ms
memory: 7708kb
input:
1 7 -12 -7 10 -3 -15 -12 -12 -15 -2 12 -10 -9 8 3
output:
603
result:
wrong answer 1st lines differ - expected: '620', found: '603'