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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#18175#2267. Jewelry SizeWu_Ren#TL 120ms5960kbC++11770b2022-01-16 16:57:452022-05-04 17:15:53

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2022-05-04 17:15:53]
  • 评测
  • 测评结果:TL
  • 用时:120ms
  • 内存:5960kb
  • [2022-01-16 16:57:45]
  • 提交

answer

#include<bits/stdc++.h>
int mod;
const long double pi=acos(-1);
using namespace std;
int n,m,K;
int a[1000010];
char s[1000010];
long double ans,res=1e18,d;
bool chk(long double x,int k){
	long double sum=0,t=2*x*x;
	for(int i=1;i<n;i++) sum+=acosl(1-a[i]/t);
	if(k) sum+=acosl(1-a[n]/t);
	else sum+=2*pi-acosl(1-a[n]/t);
	if(fabsl(sum-2*pi)<=1e-3) ans=x;
	return sum<2*pi;
}
int main(){
	scanf("%d",&n);
	for(int i=1;i<=n;i++) scanf("%d",&a[i]);
	sort(a+1,a+n+1),d=a[n]/2.0;
	for(int i=1;i<=n;i++) a[i]=a[i]*a[i];
	for(int k=0;k<2;k++){
		ans=1e18;
		long double l=d,r=1e10,mid;
		for(int _=0;_<100000;_++){
			mid=(l+r)/2;
			if(chk(mid,k)) (k?r:l)=mid;
			else (k?l:r)=mid;
		}
		res=min(res,ans);
	}
	printf("%.12lf",(double)res);
}

Details

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Test #1:

score: 100
Accepted
time: 61ms
memory: 5960kb

input:

5
3 1 6 1 7

output:

3.544404350919

result:

ok found '3.5444044', expected '3.5444044', error '0.0000000'

Test #2:

score: 0
Accepted
time: 37ms
memory: 3868kb

input:

3
500 300 400

output:

250.000000000000

result:

ok found '250.0000000', expected '250.0000000', error '0.0000000'

Test #3:

score: 0
Accepted
time: 95ms
memory: 3784kb

input:

8
2000 3000 4000 2000 3000 4000 2000 3000

output:

3780.974120599489

result:

ok found '3780.9741206', expected '3780.9741206', error '0.0000000'

Test #4:

score: 0
Accepted
time: 120ms
memory: 5856kb

input:

10
602 67 67 67 67 67 67 67 67 67

output:

3003.139816965297

result:

ok found '3003.1398170', expected '3003.1398170', error '0.0000000'

Test #5:

score: -100
Time Limit Exceeded

input:

1000
4719 3755 2542 1190 5557 3641 5426 1578 5247 3181 3524 983 4151 4337 3004 2062 1048 4739 499 2530 1378 450 5459 651 1714 4051 416 4186 2598 1031 374 5523 4787 1122 4919 2549 4763 4345 2333 4009 5732 5857 3198 3882 2399 4409 4151 3447 1353 4650 4184 2731 3307 3642 3383 5021 5899 2005 3206 702 30...

output:


result: