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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 MIRACLEucup-team1479AC ✓840ms4544kbC++141.6kb2023-09-06 19:05:482023-09-06 19:05:48

Judging History

你现在查看的是最新测评结果

  • [2023-09-06 19:05:48]
  • 评测
  • 测评结果:AC
  • 用时:840ms
  • 内存:4544kb
  • [2023-09-06 19:05:48]
  • 提交

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