QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#355379 | #5106. Islands from the Sky | ucup-team052# | WA | 5ms | 4328kb | C++23 | 2.2kb | 2024-03-16 16:43:55 | 2024-03-16 16:43:55 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
const double eps=1e-8;
const double PI=acos(-1);
int sgn(double x)
{
if(x>=eps) return 1;
else if(x<-eps) return -1;
return 0;
}
struct Vec
{
double x,y;
Vec(double a=0,double b=0) {x=a,y=b;}
double norm() {return sqrt(x*x+y*y);}
};
Vec operator + (const Vec &x,const Vec &y) {return Vec(x.x+y.x,x.y+y.y);}
Vec operator - (const Vec &x,const Vec &y) {return Vec(x.x-y.x,x.y-y.y);}
Vec operator * (const Vec &x,const double &y) {return Vec(x.x*y,x.y*y);}
double cross(const Vec &x,const Vec &y) {return x.x*y.y-x.y*y.x;}
Vec norm(Vec x,double r)
{
r/=x.norm();
return x*r;
}
#define N 105
vector<Vec> a[N];
double S[N];
int n,m;
Vec b[N],c[N]; double z1[N],z2[N];
int vis[N];
double Area(const vector<Vec> &v)
{
double sum=0;
for(int j=1;j+1<(int)v.size();j++) sum+=cross(v[0]-v[j],v[0]-v[j+1]);
return sum;
}
int chk(double theta)
{
for(int i=1;i<=n;i++) vis[i]=0;
for(int i=1;i<=m;i++)
{
double r1=z1[i]*tan(theta),r2=z2[i]*tan(theta);
Vec v=c[i]-b[i];
Vec trans(-v.y,v.x);
vector<Vec> out(4);
out[0]=b[i]+norm(trans,r1);
out[1]=b[i]-norm(trans,r1);
out[2]=c[i]-norm(trans,r2);
out[3]=c[i]+norm(trans,r2);
double area=Area(out);
auto inside=[&](Vec v)
{
double sum=0;
sum+=abs(cross(v-out[0],v-out[1]));
sum+=abs(cross(v-out[1],v-out[2]));
sum+=abs(cross(v-out[2],v-out[3]));
sum+=abs(cross(v-out[3],v-out[0]));
return sgn(sum-area)==0;
};
for(int j=1;j<=n;j++)
{
int ok=1;
for(Vec v:a[j]) ok&=inside(v);
if(ok) vis[j]=1;
}
}
for(int i=1;i<=n;i++) if(!vis[i]) return 0;
return 1;
}
signed main()
{
#ifdef xay5421
freopen("a.in","r",stdin);
#endif
cin>>n>>m;
for(int i=1;i<=n;i++)
{
int s; scanf("%d",&s);
a[i].resize(s);
for(int j=0;j<s;j++) scanf("%lf %lf",&a[i][j].x,&a[i][j].y);
S[i]=Area(a[i]);
}
for(int i=1;i<=m;i++) scanf("%lf %lf %lf %lf %lf %lf",&b[i].x,&b[i].y,&z1[i],&c[i].x,&c[i].y,&z2[i]);
double l=0,r=PI/2;
for(int it=1;it<=100;it++)
{
double mid=(l+r)/2;
if(chk(mid)) r=mid;
else l=mid;
}
if(l/PI*180>=89.9999999) printf("impossible\n");
else printf("%.10lf\n",l/PI*180);
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 4092kb
input:
1 1 3 -5 0 5 0 0 5 -10 10 10 10 10 10
output:
44.9999999993
result:
ok
Test #2:
score: 0
Accepted
time: 0ms
memory: 4144kb
input:
1 1 3 -5 0 5 0 0 5 -10 0 10 10 0 10
output:
26.5650511759
result:
ok
Test #3:
score: 0
Accepted
time: 0ms
memory: 4092kb
input:
1 1 3 -5 0 5 0 0 5 0 10 10 10 0 10
output:
46.6861433408
result:
ok
Test #4:
score: 0
Accepted
time: 0ms
memory: 4112kb
input:
1 1 3 -5 0 5 0 0 5 0 10 5 10 0 10
output:
59.4910411330
result:
ok
Test #5:
score: 0
Accepted
time: 1ms
memory: 4152kb
input:
1 1 3 -5 0 5 0 0 5 0 10 20 -10 0 10
output:
31.2196984465
result:
ok
Test #6:
score: 0
Accepted
time: 1ms
memory: 4112kb
input:
1 3 3 -5 0 5 0 0 5 -10 0 25 10 0 20 -5 10 10 10 -5 20 -4 1 100 5 10 100
output:
12.5288077085
result:
ok
Test #7:
score: 0
Accepted
time: 1ms
memory: 4096kb
input:
1 2 4 0 0 20 0 20 40 0 40 -10 30 30 30 30 30 -10 10 30 30 10 30
output:
44.9999999999
result:
ok
Test #8:
score: 0
Accepted
time: 1ms
memory: 4052kb
input:
1 4 4 0 0 20 0 20 40 0 40 -10 30 30 30 30 30 -10 20 30 30 20 30 -10 10 30 30 10 30 10 -10 30 10 50 30
output:
18.4349488228
result:
ok
Test #9:
score: 0
Accepted
time: 4ms
memory: 4328kb
input:
1 2 4 0 0 40 0 40 40 0 40 10 10 10 20 20 20 30 10 10 10 30 20
output:
impossible
result:
ok
Test #10:
score: 0
Accepted
time: 4ms
memory: 4300kb
input:
1 3 4 0 0 20 0 20 40 0 40 -10 30 30 15 30 30 5 30 30 30 30 30 1 50 30 21 50 30
output:
impossible
result:
ok
Test #11:
score: 0
Accepted
time: 0ms
memory: 4252kb
input:
1 1 4 0 0 40 0 40 40 0 40 -100 -100 20 100 100 10
output:
63.6657521531
result:
ok
Test #12:
score: 0
Accepted
time: 1ms
memory: 4164kb
input:
1 4 4 -10 -10 10 -10 10 10 -10 10 -100 0 10 100 0 10 0 100 10 0 -100 10 50 50 15 -50 -50 15 -50 50 15 50 -50 15
output:
43.3138566582
result:
ok
Test #13:
score: -100
Wrong Answer
time: 5ms
memory: 4048kb
input:
1 100 100 822286 0 856789 53904 986567 124632 629039 119995 732157 187986 691605 224716 728650 288493 591087 278144 801573 440668 425257 269876 614456 446428 424157 350893 645680 606334 406524 432904 545628 659551 359831 495265 367048 578376 251435 457360 319990 680014 336526 849968 214009 658652 23...
output:
67.4560546819
result:
wrong answer