QOJ.ac
QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#166830 | #7110. Kuririn MIRACLE | ucup-team1479 | AC ✓ | 840ms | 4544kb | C++14 | 1.6kb | 2023-09-06 19:05:48 | 2023-09-06 19:05:48 |
Judging History
answer
//prepare for coding{{{
#include<bits/stdc++.h>
#define RELEASE
#ifndef RELEASE
#define FL
#define DB(...) fprintf(stderr,__VA_ARGS__)
#endif
typedef double DB;
const DB EPS=1e-8;
using namespace std;
const DB PAI=acos(-1);
inline int Read(){
char c=getchar();
int res=0;
bool b=0;
while(c>'9'||c<'0')
b=(c=='-'),c=getchar();
while(c>='0'&&c<='9')
res=(res<<3)+(res<<1)+c-'0',c=getchar();
return b?-res:res;
}
DB v,r,d;
//}}}
//solve{{{
const int B=5000;
inline DB Ftheta(DB theta){
DB sn=sin(theta);
return 2/(sqrt(sn*sn*4+12)-sn*2)/v;
}
inline DB Simpson(DB lim){
DB d=lim/B,res=Ftheta(0)+Ftheta(lim);
for(int i=1;i<B;i+=2)
res+=4*Ftheta(i*d);
for(int i=2;i<B;i+=2)
res+=2*Ftheta(i*d);
return res*d/3;
}
//}}}
//main{{{
inline void Solve(){
scanf("%lf%lf%lf",&v,&r,&d);
DB ll=PAI/2,rr=PAI,ans=PAI;
while(rr-ll>EPS){
DB mid=(ll+rr)/2,t=Simpson(mid)*r*2,alpha=atan2(sin(mid)*2*r,d-2*r-v*t+cos(mid)*2*r);
DB x=-cos(mid)*2*r+2*EPS*cos(alpha)-EPS,y=sin(mid)*2*r-2*EPS*sin(alpha);
if(x*x+y*y>4*r*r)
ans=rr=mid;
else
ans=ll=mid;
}
//printf("%lf\n",ans);
if(ans+EPS>PAI)
return printf("%.10lf\n",d/v),void();
DB anst=Simpson(ans)*r*2;
DB x=cos(ans)*2*r+d-r*2-anst*v,y=sin(ans)*2*r;
//printf("%lf %lf %lf %lf\n",anst,x,y,d/v);
printf("%.10lf\n",min(anst+sqrt(x*x+y*y)/v/2,d/v));
}
int main(){
#ifdef FL
freopen(".in","r",stdin);
freopen(".out","w",stdout);
#endif
int T=Read()+1;
while(--T)
Solve();
return 0;
}
//}}}
//《象》曰:泽灭木,大过。君子以独立不惧,遁世无
这程序好像有点Bug,我给组数据试试?
詳細信息
Test #1:
score: 100
Accepted
time: 2ms
memory: 4544kb
input:
1 2.00 3 30.0
output:
8.3105799339
result:
ok found '8.3105799', expected '8.3105799', error '0.0000000'
Test #2:
score: 0
Accepted
time: 84ms
memory: 4484kb
input:
100 8.66 6.05 71.59 8.44 8.67 82.55 4.23 9.68 24.74 6.63 9.95 7.45 1.2 7.27 97.55 2.08 2.94 31.61 8.48 5.56 20.16 7.35 5.55 52.48 1.35 8.15 51.23 3.88 9.02 72.37 7.03 1.97 57.03 1.78 4.44 93.44 5.5 6.11 52.94 1.09 9.64 69.01 1.01 3.54 16.78 1.63 4.55 44.06 5.82 5.51 5.92 5.62 2.93 76.01 4.75 4.43 73...
output:
4.4578371227 5.4883608090 5.8486997636 1.1236802413 43.2664800535 8.3054901382 2.3773584906 4.0154859695 37.9481481481 18.6520618557 4.1551236436 27.1789630071 9.6254545455 63.3119266055 16.6138613861 15.0939944612 1.0171821306 6.9496235027 8.1504302992 8.8584474886 1.7697642164 4.5411392405 10.4731...
result:
ok 100 numbers
Test #3:
score: 0
Accepted
time: 840ms
memory: 4344kb
input:
1000 7.52 6.68 80.67 5.34 6.82 45.75 3.57 6.35 22.35 9.55 3.65 31.38 9.37 5.73 40.42 1.83 8.38 82.97 4.86 6.13 9.45 3.88 5.34 84.19 6.49 4.15 85.24 6.51 7.23 42.97 3.0 5.98 57.53 9.35 2.76 69.07 6.76 9.16 91.24 2.98 9.89 49.2 9.16 3.85 66.14 1.84 3.03 37.43 8.01 5.04 50.98 4.05 9.86 4.76 5.4 5.49 60...
output:
5.7708826493 8.5674157303 6.2605042017 3.2858638743 4.3137673426 25.1764841721 1.9444444444 11.4062996164 6.8071912057 6.6006144393 10.7277125608 3.8001978448 7.4844843026 16.5100671141 3.7756970122 10.9157110705 3.5175276460 1.1753086420 6.0952874389 14.4431818182 8.4168240742 8.4894553076 6.028112...
result:
ok 1000 numbers
Extra Test:
score: 0
Extra Test Passed