QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#620838 | #8946. 一眼丁真 | Xun_xiaoyao | 100 ✓ | 2470ms | 4248kb | C++20 | 2.1kb | 2024-10-07 21:42:29 | 2024-10-07 21:42:29 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
const double PI=acos(-1);
mt19937 zsh(20070610);
struct Point{
double x,y;
Point operator+(const Point A)const{return Point{x+A.x,y+A.y};}
void operator+=(const Point A){x+=A.x,y+=A.y;}
};
inline double pow(double A){return A*A;}
double dis(Point A,Point B){return sqrt(pow(A.x-B.x)+pow(A.y-B.y));}
Point py(Point O,double a){return Point{O.x+cos(a),O.y+sin(a)};}
struct Line{
double A,B;
void calc(Point p1,Point p2)
{
A=(p1.y-p2.y)/(p1.x*p2.y-p2.x*p1.y);
B=(p1.x-p2.x)/(p1.y*p2.x-p2.y*p1.x);
}
}l[40];
double dis(Line L,Point A){return fabs(L.A*A.x+L.B*A.y+1)/sqrt(L.A*L.A+L.B*L.B);}
int N,n,ans;double bst;
Point O,T,p[1010],p2[1010];
double jd[1010];
double calc(Point O)
{
double ret=0;
for(int i=1;i<=N;i++)
ret+=pow(dis(O,p[i])-1);
return ret;
}
double cur,nw,mn;
bool cmp(Point A,Point B){return dis(A,O)>dis(B,O);}
pair<int,double> p_[1010];
vector<double> ag;
double Tk[40];
void solve()
{
vector<double>().swap(ag);
O.x=O.y=0;
cin>>N>>n;
for(int i=1;i<=N;i++)
{
cin>>p[i].x>>p[i].y;
O+=p[i];
}
O.x/=N,O.y/=N;
cur=calc(O);
for(double T=0.1;T>0.0001;T*=0.98)
{
for(int dx=-1;dx<=1;dx++) for(int dy=-1;dy<=1;dy++)
if((nw=calc(Point{O.x+dx*T,O.y+dy*T}))<cur)
cur=nw,O.x+=dx*T,O.y+=dy*T;
}
sort(p+1,p+N+1,cmp);
for(int i=1;i<=20;i++)
{
nw=atan2(p[i].y-O.y,p[i].x-O.x);
for(int d=-1;d<=1;d++)
ag.push_back(nw+(1.*d/N)*2*PI);
}
for(int i=1;i<=N;i++)
jd[i]=atan2(p[i].y-O.y,p[i].x-O.x);
bst=1e10;
for(int d=max(3,n-5);d<=n;d++)
{
cur=2*PI/d;
for(double a:ag)
{
for(int i=0;i<d;i++)
{
Tk[i]=a+cur*i;
if(Tk[i]>PI) Tk[i]-=2*PI;
}
sort(Tk,Tk+d);Tk[d]=Tk[0];
for(int i=0;i<d;i++)
l[i].calc(py(O,Tk[i]),py(O,Tk[i+1]));
nw=0;
for(int i=1;i<=N;i++)
{
for(int j=0;j<d;j++) if((Tk[j]<=jd[i]&&jd[i]<=Tk[j+1])||j==d)
{
nw+=pow(dis(l[j],p[i]));
break;
}
}
if(nw<bst) bst=nw,ans=d;
}
}
cout<<ans<<endl;
}
int main()
{
ios::sync_with_stdio(0);cin.tie(0);
int T;cin>>T;
while(T--) solve();
return 0;
}
Details
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Pretests
Final Tests
Test #1:
score: 10
Accepted
time: 1244ms
memory: 4204kb
input:
200 1000 4 -1.65882 -0.468078 -0.559879 0.302541 -1.67025 -0.452322 -0.54312 -1.40252 0.116365 -0.958391 -1.57137 -0.386501 -1.20353 -0.13415 0.123479 -0.934878 -0.597084 -1.41011 -1.69629 -0.489381 -0.0114821 -1.03665 -0.546439 -1.39593 -0.573469 -1.41618 -1.06124 -1.4763 -1.52521 -0.371347 -1.4609...
output:
4 4 3 4 4 3 3 4 4 3 4 4 4 3 4 4 3 4 4 4 4 3 4 3 4 3 3 3 4 3 3 3 3 3 3 3 3 3 4 3 3 4 3 4 3 3 3 3 4 3 3 3 3 4 3 4 3 3 4 4 3 4 3 4 3 4 4 3 3 3 4 3 3 3 4 4 3 3 3 3 4 4 3 3 3 4 3 3 3 3 4 3 4 3 3 3 4 3 3 4 3 3 4 3 4 4 3 3 4 4 3 4 3 4 4 4 3 4 3 4 3 3 3 3 4 3 4 3 3 3 3 3 3 3 4 4 4 3 4 4 3 4 4 4 4 3 3 3 3 3 ...
result:
ok #(wrong) = 0, #(correct) = 200
Test #2:
score: 10
Accepted
time: 1239ms
memory: 4244kb
input:
200 1000 4 0.22827 0.536959 -0.743134 0.215561 -0.0821736 -0.804273 0.470104 -0.194576 0.819679 0.553173 0.212657 0.515942 -0.379762 -0.349824 0.140334 -0.864474 -0.033494 0.513621 0.673108 0.243877 0.716308 0.318053 -0.108843 -0.719375 0.102132 -0.924612 0.0141018 -0.921927 0.710421 0.53719 -0.4572...
output:
3 4 3 4 3 3 3 3 4 3 4 4 4 4 4 4 4 3 4 4 3 3 3 4 4 4 4 4 3 3 3 4 4 4 4 4 3 3 3 4 4 4 3 3 4 4 3 4 3 4 3 4 3 3 4 4 3 3 3 4 4 3 4 4 4 4 3 3 3 3 3 3 4 4 3 4 4 4 4 4 3 3 3 4 3 4 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 4 3 4 4 3 3 3 4 4 3 4 3 3 4 3 4 3 4 3 4 4 3 4 4 4 3 3 3 3 3 4 4 3 4 4 3 4 4 4 4 4 3 4 3 3 4 3 ...
result:
ok #(wrong) = 0, #(correct) = 200
Test #3:
score: 10
Accepted
time: 1629ms
memory: 4248kb
input:
200 1000 10 0.171063 0.768938 0.339764 0.873943 1.15161 0.672578 0.805594 0.765797 1.15695 0.666805 1.26595 -0.695135 1.20927 0.578729 -0.356686 -0.292753 0.940372 -0.919379 -0.269337 -0.62435 -0.0757841 0.550908 1.52432 0.00176461 -0.366525 0.00974288 0.524328 0.851771 1.37215 0.224858 0.655827 -0....
output:
7 10 7 5 6 8 10 6 8 10 9 5 9 6 10 7 7 5 10 6 10 7 7 10 7 8 8 7 7 7 10 8 6 8 5 7 9 7 5 10 10 7 5 8 6 8 10 8 8 5 7 10 5 8 8 7 5 6 8 10 7 7 6 6 10 8 10 8 5 9 6 6 9 10 6 9 6 5 5 9 7 8 8 7 7 5 5 7 7 8 6 8 10 6 6 6 7 7 8 7 8 8 8 8 8 6 6 9 5 6 10 5 5 5 10 10 10 10 6 10 8 6 9 9 9 6 6 7 9 10 8 8 7 7 6 10 10 ...
result:
ok #(wrong) = 0, #(correct) = 200
Test #4:
score: 10
Accepted
time: 1627ms
memory: 4244kb
input:
200 1000 10 -0.83557 -0.43386 -0.900052 0.302486 0.843787 0.446154 -0.0854311 -0.918758 0.501433 0.844022 -0.955344 -0.173521 0.516729 0.8388 -0.917289 0.0698801 -0.925852 0.0681056 -0.848415 0.471305 0.098655 0.922883 0.958545 0.273256 0.67931 0.611085 -0.951816 -0.0694206 -0.245102 0.947475 0.9397...
output:
8 10 10 6 7 9 7 9 10 8 6 5 10 7 9 8 6 10 8 7 8 5 6 8 6 7 5 7 9 6 5 9 7 5 7 5 10 6 6 6 8 8 10 9 8 5 8 6 9 10 7 7 10 9 9 8 9 7 8 5 5 7 6 6 6 8 5 6 9 6 6 8 9 10 5 6 7 8 8 6 10 8 8 10 10 6 10 9 5 7 5 9 6 7 7 6 5 5 10 7 8 9 6 7 5 5 9 8 7 10 6 9 5 9 10 10 6 9 5 9 10 6 8 9 8 10 6 9 5 10 9 8 5 6 7 7 10 9 5 ...
result:
ok #(wrong) = 0, #(correct) = 200
Test #5:
score: 10
Accepted
time: 2077ms
memory: 4156kb
input:
200 1000 20 1.10645 1.72762 0.00828014 0.0575131 -0.300448 0.537454 0.138879 1.67906 0.73884 1.83804 -0.331532 1.01263 1.57294 1.17098 1.61097 0.722726 0.267742 1.7481 0.805786 -0.115483 1.63489 0.918378 0.358705 -0.0984941 -0.303133 1.14962 1.59952 1.0805 -0.22276 1.35792 1.06748 1.74928 1.48122 1....
output:
19 18 20 19 19 16 20 18 16 15 16 18 16 16 19 20 20 16 19 19 15 19 20 18 16 15 16 19 15 17 19 17 20 18 20 16 20 17 17 16 17 20 20 15 18 18 19 15 16 17 17 18 18 20 16 16 17 18 18 17 20 17 16 18 18 20 18 16 16 17 18 16 19 15 19 15 15 16 19 20 17 19 16 16 18 16 15 15 16 15 18 17 17 15 18 17 15 17 20 16 ...
result:
ok #(wrong) = 0, #(correct) = 200
Test #6:
score: 10
Accepted
time: 2078ms
memory: 4236kb
input:
200 1000 20 0.306231 0.947555 -0.470695 -0.867584 0.0798229 -0.979712 0.972425 -0.18076 0.205552 0.977367 0.503871 -0.843521 0.931879 -0.34759 -0.528287 -0.821234 0.384399 0.889843 0.0427201 -0.995252 0.911209 0.407903 -0.925169 0.281163 1.01054 0.00777535 0.829844 0.506267 0.145597 -0.98502 -0.2980...
output:
19 20 18 15 20 16 15 16 19 16 17 20 19 15 20 19 20 20 19 15 20 17 18 16 20 15 17 16 16 17 17 19 18 15 20 20 16 16 20 17 20 16 15 17 19 15 15 19 16 19 16 18 20 19 18 16 19 19 15 18 15 18 17 15 16 19 20 20 16 18 19 20 17 16 15 15 20 18 16 20 19 20 20 19 15 20 16 19 17 17 20 18 19 20 20 20 20 15 20 20 ...
result:
ok #(wrong) = 0, #(correct) = 200
Test #7:
score: 10
Accepted
time: 2294ms
memory: 4204kb
input:
200 1000 25 -0.150207 0.698438 0.0893216 1.09445 1.69859 -0.01418 0.00876932 1.00054 -0.0563829 0.902229 0.736602 1.41841 -0.147213 0.274848 -0.182403 0.345741 1.63542 -0.149404 1.80616 0.580086 1.56376 -0.247799 0.32449 1.26092 0.627195 1.41568 -0.0382449 -0.105866 0.129226 1.13973 0.0847462 -0.261...
output:
23 22 25 25 21 23 20 22 24 20 23 25 21 23 22 24 24 21 25 25 22 20 24 23 23 21 20 21 25 24 22 24 21 23 22 22 21 24 21 21 21 25 25 20 21 21 24 24 24 22 22 22 21 24 22 22 23 25 20 24 25 22 24 25 23 22 24 21 22 23 22 21 25 21 22 21 20 25 25 22 20 20 20 22 23 24 20 23 24 25 24 25 25 21 24 21 25 20 20 24 ...
result:
ok #(wrong) = 0, #(correct) = 200
Test #8:
score: 10
Accepted
time: 2301ms
memory: 4200kb
input:
200 1000 25 0.964683 -0.212993 0.98252 -0.136339 -0.168828 -0.971035 0.865174 -0.484339 0.571258 -0.82591 -0.797776 -0.589278 -0.307998 -0.948622 -0.80831 0.593024 -0.659663 0.745975 0.923635 -0.380449 0.996853 -0.0380425 0.679349 0.732259 -0.0225609 1.00911 0.717309 -0.710159 -0.425272 -0.901905 0....
output:
21 25 25 25 25 24 24 24 22 22 22 25 25 22 20 24 21 24 21 23 22 21 23 22 21 25 23 25 22 23 22 24 21 25 21 22 20 22 20 23 21 22 23 24 24 22 24 21 22 21 23 23 20 24 25 21 24 25 23 22 24 23 21 20 20 24 23 22 20 24 25 20 20 20 24 23 22 23 22 24 23 25 22 23 25 23 25 20 24 24 25 20 21 24 25 24 21 24 25 21 ...
result:
ok #(wrong) = 0, #(correct) = 200
Test #9:
score: 10
Accepted
time: 2470ms
memory: 4240kb
input:
200 1000 30 -0.823086 -1.0434 0.105428 -0.15483 -0.502513 -0.953264 0.0771079 -0.121858 -1.23449 0.876862 -0.0812511 -0.664993 -0.241982 0.678029 -0.622296 0.896641 -1.20049 0.882673 -1.88268 -0.190726 0.0489134 -0.354098 0.0159866 -0.415372 -0.167045 -0.751293 -0.0637444 -0.612609 0.0696068 -0.3288...
output:
29 28 29 26 26 28 27 30 27 26 28 28 29 28 26 29 28 30 26 28 26 28 28 29 28 28 30 27 27 28 29 26 30 30 27 30 28 30 28 27 27 28 30 25 27 27 28 30 25 30 27 26 25 29 27 26 25 30 27 30 29 28 28 27 27 25 25 25 28 29 25 25 28 29 29 27 27 29 27 29 28 30 25 30 25 28 26 29 27 29 28 29 29 25 25 30 30 27 30 29 ...
result:
ok #(wrong) = 1, #(correct) = 199
Test #10:
score: 10
Accepted
time: 2465ms
memory: 4140kb
input:
200 1000 30 -0.922656 0.353773 0.603763 -0.788179 -0.461439 0.857645 -0.991954 -0.0838754 -0.144937 0.982998 0.605566 -0.771346 0.0629471 0.988433 0.995332 -0.0164629 -0.878948 0.473977 -0.852896 0.501311 0.840425 0.516425 0.440577 0.898323 -0.515795 0.861164 0.116181 -1.00427 -0.477573 -0.879226 0....
output:
25 29 28 29 25 25 25 26 29 27 26 27 30 26 27 28 28 27 25 29 28 25 30 28 27 27 28 29 25 28 26 28 26 30 26 30 30 25 30 25 29 30 26 27 30 28 25 28 28 29 25 27 26 28 25 27 29 26 29 30 28 26 26 29 30 25 28 27 29 29 30 28 29 27 29 30 25 25 26 28 26 25 26 30 25 25 26 29 28 25 25 25 30 27 25 29 25 29 30 27 ...
result:
ok #(wrong) = 0, #(correct) = 200