QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#639193 | #9434. Italian Cuisine | Dixiky_215 | WA | 40ms | 13520kb | C++20 | 4.6kb | 2024-10-13 18:14:32 | 2024-10-13 18:14:36 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
const double eps=1e-8;
const int MAXN=5e5+7;
struct Point{
double x,y;
Point(double x=0,double y=0):x(x),y(y){}
};
typedef Point Vector;
Point a[MAXN],be;
vector<Point> c;
int t;
int n;
double be_x,be_y,r;
ll sum[MAXN];
Vector operator + (Vector A,Vector B){return Vector(A.x+B.x,A.y+B.y);}
Vector operator - (Vector A,Vector B){return Vector(A.x-B.x,A.y-B.y);}
Vector operator * (Vector A,double B){return Vector(A.x*B,A.y*B);}
Vector operator / (Vector A,double B){return Vector(A.x/B,A.y/B);}
int dcmp(double x){if(fabs(x)<eps)return 0;return (x>0)?1:-1;}
bool operator == (const Vector A,const Vector B){
return dcmp(A.x-B.x)==0 && dcmp(A.y-B.y)==0;
}
double Dot(Vector A,Vector B){return A.x*B.x+A.y*B.y;}
double Length(Vector A){return sqrt(Dot(A,A));}
double Cross(Vector A,Vector B){return A.x*B.y-B.x*A.y;}
double DistanceToSegment(Point P,Point A,Point B){
if(A==B)return Length(P-A);
Vector v1=B-A,v2=P-A,v3=P-B;
if(dcmp(Dot(v1,v2))<0)return Length(v2);
else if(dcmp(Dot(v1,v3))>0)return Length(v3);
else return fabs(Cross(v1,v2))/Length(v1);
}
bool check2(Point P,Point A,Point B){
if(A==B)return Length(P-A);
Vector v1=B-A,v2=P-A,v3=P-B;
if(dcmp(Dot(v1,v2))<0)
{
if(Length(v2)>r-eps) return 1;
return 0;
}
else if(dcmp(Dot(v1,v3))>0)
{
if(Length(v3)>r-eps) return 1;
return 0;
}
else
{
if(fabs(Cross(v1,v2))>r*Length(v1)-eps) return 1;
return 0;
}
}
double ComputePolygonArea(vector<Point> &points)
{
int point_num = points.size();
if(point_num < 3)return 0.0;
double s = points[0].y * (points[point_num-1].x - points[1].x);
for(int i = 1; i < point_num; ++i)
s += points[i].y * (points[i-1].x - points[(i+1)%point_num].x);
return fabs(s/2.0);
}
double Distance(Point p,Point a,Point b)
{
Vector v1=b-a,v2=p-a;
return fabs(Cross(v1,v2));
}
// bool check2(Point a,Point b)
// {
// Point kkk={be_x,be_y};
// if(Distance(kkk,a,b)<(r*abs(Length(b-a)))) return 0;
// return 1;
// }
bool check1(Point a,Point b,Point c)
{
__int128 res1=Cross(a,b),res2=Cross(a,c);
if(res1*res2<0) return 0;
return 1;
}
ll work(int l,int r)
{
ll res=sum[r]-sum[l];
c.clear();
c.push_back(a[1]);
c.push_back(a[l]);
c.push_back(a[r]);
res-=(ll) (ComputePolygonArea(c)*2.0);
return res;
}
int main()
{
cin.tie(nullptr) ->sync_with_stdio(false);
cin>>t;
while(t--)
{
cin>>n;
cin>>be_x>>be_y>>r;
be={be_x,be_y};
for(int i=1;i<=n;i++) cin>>a[i].x>>a[i].y;
for(int i=n+1;i<=2*n;i++) a[i]=a[i-n];
sum[0]=sum[1]=sum[2]=0;
for(int i=3;i<=n;i++)
{
c.clear();
c.push_back(a[1]);
c.push_back(a[i-1]);
c.push_back(a[i]);
sum[i]=sum[i-1]+(ll) (ComputePolygonArea(c)*2.0);
}
ll ans=0LL;
for(int i=1;i<=n;i++)
{
int l=i,r=i+n-1,mid,loc=-1;
Point k1=be-a[i];
Point k2=a[i+1]-a[i];
while(l<=r)
{
mid=(l+r)>>1;
Point k3=a[mid]-a[i];
if(check1(k1,k2,k3))
{
if(check2(be,a[i],a[mid])) loc=mid,l=mid+1;
else r=mid-1;
}
else r=mid-1;
}
if(loc!=-1)
{
int lk=i%n,rk=loc%n;
if(lk==0) lk=n;
if(rk==0) rk=n;
if(rk<lk)
{
ll sum1=work(lk,n);
ll sum2=work(1,rk);
c.clear();
c.push_back(a[lk]);c.push_back(a[n]);
c.push_back(a[1]);c.push_back(a[rk]);
ll sumk=(ll) (ComputePolygonArea(c)*2.0);
ans=max(ans,sum1+sum2+sumk);
}
else
{
ans=max(ans,work(lk,rk));
}
}
}
cout<<ans<<'\n';
}
return 0;
}
/*
*/
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 2ms
memory: 13520kb
input:
3 5 1 1 1 0 0 1 0 5 0 3 3 0 5 6 2 4 1 2 0 4 0 6 3 4 6 2 6 0 3 4 3 3 1 3 0 6 3 3 6 0 3
output:
5 24 0
result:
ok 3 number(s): "5 24 0"
Test #2:
score: 0
Accepted
time: 0ms
memory: 12348kb
input:
1 6 0 0 499999993 197878055 -535013568 696616963 -535013568 696616963 40162440 696616963 499999993 -499999993 499999993 -499999993 -535013568
output:
0
result:
ok 1 number(s): "0"
Test #3:
score: 0
Accepted
time: 34ms
memory: 12216kb
input:
6666 19 -142 -128 26 -172 -74 -188 -86 -199 -157 -200 -172 -199 -186 -195 -200 -175 -197 -161 -188 -144 -177 -127 -162 -107 -144 -90 -126 -87 -116 -86 -104 -89 -97 -108 -86 -125 -80 -142 -74 -162 -72 16 -161 -161 17 -165 -190 -157 -196 -154 -197 -144 -200 -132 -200 -128 -191 -120 -172 -123 -163 -138...
output:
5093 3086 2539 668 3535 7421 4883 5711 5624 1034 2479 3920 4372 2044 4996 5070 2251 4382 4175 1489 1154 3231 4038 1631 5086 14444 1692 6066 687 1512 4849 5456 2757 8341 8557 8235 1013 5203 10853 6042 6300 4480 2303 2728 1739 2187 3385 4266 6322 909 4334 1518 948 5036 1449 2376 3180 4810 1443 1786 47...
result:
ok 6666 numbers
Test #4:
score: -100
Wrong Answer
time: 40ms
memory: 13184kb
input:
6660 19 -689502500 -712344644 121094647 -534017213 -493851833 -578925616 -506634533 -663335128 -540066520 -748890119 -585225068 -847722967 -641694086 -916653030 -716279342 -956235261 -766049951 -1000000000 -836145979 -963288744 -923225928 -948140134 -944751289 -920681768 -972760883 -872492254 -10000...
output:
117285633945667248 89094762176992096 84336379088082400 63629451600307516 193020267813347592 73921930794195272 59524748406448194 34419869321856816 207356845785317012 185783506654648032 80463327658075792 156569165998743744 129550296314602376 157065066097450720 77819745596643488 40796197589680464 11394...
result:
wrong answer 1st numbers differ - expected: '117285633945667137', found: '117285633945667248'