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
#442820#6763. Triangle Pendantpositive1WA 2ms3976kbC++141.8kb2024-06-15 13:34:232024-06-15 13:34:25

Judging History

你现在查看的是最新测评结果

  • [2024-06-15 13:34:25]
  • 评测
  • 测评结果:WA
  • 用时:2ms
  • 内存:3976kb
  • [2024-06-15 13:34:23]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;

constexpr double eps=1e-9;

int r[3][3],s[3];
double mid[3],ans[3];

template<typename T>T sqr(T x)
{
	return x*x;
}

bool sing(int a)
{
	int b=(a+1)%3,c=(a+2)%3;
	double bm=r[b][c]/2.0,bm2=sqr(bm),am2=(sqr(r[a][b])+sqr(r[a][c]))/2.0-bm2,am=sqrt(am2);
	mid[a]=am*2/3;
	for(int i:{b,c})
	{
		int ab=r[a][i],ab2=sqr(ab);
		double al=(am2+ab2-bm2)/2/am;
		if(sqr(s[i])<al*s[a]+ab2+sqr(s[a])-eps) return false;
		ans[i]=-s[a]-al;
	}
	ans[a]=-s[a];
	return true;
}

double hei(double h,double x,double y)
{
	return -(sqr(h)+sqr(y)-sqr(x))/2/h;
}

bool twin(int a,int b)
{
	auto dis=[](double ad,double bd,double ab,double ac,double bc)
	{
		double cosdab=(sqr(ad)+sqr(ab)-sqr(bd))/2/ab/ad;
		double coscab=(sqr(ac)+sqr(ab)-sqr(bc))/2/ab/ac;
		double cosdac=cosdab*coscab-sqrt((1-sqr(cosdab))*(1-sqr(coscab)));
		return sqrt(sqr(ad)+sqr(ac)-2*ad*ac*cosdac);
	};
	if(s[a]+s[b]<r[a][b]||abs(s[a]-s[b])>r[a][b]) return false;
	int c=3-a-b;
	double cd=dis(s[a],s[b],r[a][b],r[a][c],r[b][c]);
	if(s[c]<cd-eps) return false;
	double dm=dis(s[a],s[b],r[a][b],mid[a],mid[b]);
	ans[a]=hei(dm,mid[a],s[a]);
	ans[b]=hei(dm,mid[b],s[b]);
	ans[c]=hei(dm,mid[c],cd);
	return true;
}

bool pyr()
{
	double dg=sqrt(3*(sqr(s[0])+sqr(s[1])+sqr(s[2]))-sqr(r[0][1])-sqr(r[1][2])-sqr(r[0][2]))/3;
	for(int i=0;i<3;i++) ans[i]=hei(dg,mid[i],s[i]);
	return true;
}

int main()
{
	ios::sync_with_stdio(false),cin.tie(0);
	int T;
	cin>>T;
	cout<<fixed<<setprecision(5);
	while(T--)
	{
		cin>>s[0]>>s[1]>>s[2]>>r[1][2]>>r[0][2]>>r[0][1];
		r[1][0]=r[0][1];
		r[2][1]=r[1][2];
		r[2][0]=r[0][2];
		sing(0)||sing(1)||sing(2)||twin(0,1)||twin(1,2)||twin(0,2)||pyr();
		cout<<ans[0]<<' '<<ans[1]<<' '<<ans[2]<<'\n';
	}
	return 0;
}

详细

Test #1:

score: 100
Accepted
time: 1ms
memory: 3924kb

input:

2
1 1 1 1 1 1
2 3 3 1 1 1

output:

-0.81650 -0.81650 -0.81650
-2.00000 -2.86603 -2.86603

result:

ok 6 numbers

Test #2:

score: -100
Wrong Answer
time: 2ms
memory: 3976kb

input:

1000
21 2 14 12 13 4
29 19 13 15 10 17
29 24 15 29 24 23
29 17 30 18 9 25
27 24 30 16 4 15
28 13 17 12 21 16
16 22 10 22 15 8
15 23 24 23 27 13
26 3 27 15 16 17
5 8 20 17 6 12
24 14 13 15 19 13
27 22 18 18 23 30
22 18 14 11 29 28
7 13 22 22 17 11
19 9 16 22 20 17
21 14 20 6 29 25
20 10 19 9 27 27
17...

output:

-2.93586 -2.00000 -13.35235
-22.14648 -16.07620 -12.24183
-28.02743 -18.31858 -8.24336
-27.26612 -13.15932 -26.88253
-26.53493 -22.06663 -29.61608
-26.96780 -12.55767 -14.18672
-15.77860 -20.86268 -5.15586
-10.93310 -21.91558 -17.77740
-18.04415 -3.00000 -15.74074
-4.13677 1.28738 -9.68713
-23.51828...

result:

wrong answer 100th numbers differ - expected: '-12.56729', found: '-13.43535', error = '0.06907'