QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#175619#5679. Linked TriangleszhoujiuAC ✓1ms3976kbC++203.0kb2023-09-10 20:44:512023-09-10 20:44:51

Judging History

你现在查看的是最新测评结果

  • [2023-09-10 20:44:51]
  • 评测
  • 测评结果:AC
  • 用时:1ms
  • 内存:3976kb
  • [2023-09-10 20:44:51]
  • 提交

answer

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

const double eps=1e-8;

struct Point_3D
{
	double x,y,z;
	Point_3D(){}
	Point_3D(double x,double y,double z):x(x),y(y),z(z){}
};
typedef Point_3D Vector_3D;

double Dot_3D(Vector_3D A,Vector_3D B)
{
	return A.x*B.x+A.y*B.y+A.z*B.z;
}

Vector_3D Cross_3D(Vector_3D A,Vector_3D B)
{
	return Vector_3D(A.y*B.z-A.z*B.y,A.z*B.x-A.x*B.z,A.x*B.y-A.y*B.x);
}

Vector_3D operator + (Vector_3D A,Vector_3D B)
{
	return Vector_3D(A.x+B.x,A.y+B.y,A.z+B.z);
}

Vector_3D operator - (Vector_3D A,Vector_3D B)
{
	return Vector_3D(A.x-B.x,A.y-B.y,A.z-B.z);
}

Vector_3D operator * (Vector_3D A,double t)
{
	return Vector_3D(A.x*t,A.y*t,A.z*t);
}

//直线与平面的交点
Point_3D LinePlaneIntersection(Point_3D p1,Point_3D p2,Point_3D p0,Vector_3D n)
{
	Vector_3D v=p2-p1;
	double t=(Dot_3D(n,p0-p1)/Dot_3D(n,p2-p1));
	return p1+v*t;
}

bool SameSide(Point_3D p1,Point_3D p2,Point_3D a,Point_3D b)
{
	return Dot_3D(Cross_3D(b-a,p1-a),Cross_3D(b-a,p2-a))-eps>=0;
}

bool PointInTri(Point_3D P,Point_3D P0,Point_3D P1,Point_3D P2)
{
	return SameSide(P,P0,P1,P2)&&SameSide(P,P1,P0,P2)&&SameSide(P,P2,P0,P1);
}

bool TriSegInterseection(Point_3D P0,Point_3D P1,Point_3D P2,Point_3D A,Point_3D B,Point_3D &P)
{
	Vector_3D n=Cross_3D(P1-P0,P2-P0);

	if(fabs(Dot_3D(n,B-A))<=eps)
		return false;
	else
	{
		double t=Dot_3D(n,P0-A)/Dot_3D(n,B-A);
		if(t+eps<0||t-1-eps>0)
			return false;

		P=A+(B-A)*t;
		return PointInTri(P,P0,P1,P2);
	}
}

// bool TriTriIntersection(vector<Point_3D> T1,vector<Point_3D> T2)
// {
// 	int flag=0;

// 	for(int i=0;i<3;i++)
// 	{
// 		if(TriSegInterseection(T1[0],T1[1],T1[2],T2[i],T2[(i+1)%3]))
// 			flag++;
// 	}

// 	if(flag==1) return true;
// 	return false;
// }

bool PointOnPlane(Point_3D A,Point_3D B,Point_3D C,Point_3D D)
{
	return fabs(Dot_3D(Cross_3D(B-A,C-A),D-A))<=eps;
}

signed main()
{
	Point_3D t[6];
	for(int i=0;i<6;i++)
	{
		cin>>t[i].x>>t[i].y>>t[i].z;
	}

	vector<pair<int,int>> ans;
	for(int j=1;j<6;j++)
	{
		for(int k=j+1;k<6;k++)
		{
			vector<Point_3D> a,b;
			a.push_back(t[0]),a.push_back(t[j]),a.push_back(t[k]);
			for(int l=0;l<6;l++)
			{
				if(l==0||l==j||l==k) continue;
				b.push_back(t[l]);
			}

			int flag=0;
			for(int l=0;l<3;l++)
			{
				if(PointOnPlane(b[l],a[0],a[1],a[2]))
					flag+=PointInTri(b[l],a[0],a[1],a[2]);
				// if(PointInTri(b[l],a[0],a[1],a[2]))
				// {
				// 	if(j==4&&k==5)
				// 	cout<<l<<endl;
				// }
			}
			if(flag==1)
			{
				ans.push_back({j,k});
				continue;
			}

			flag=0;
			for(int i=0;i<3;i++)
			{
				Point_3D P;
				if(TriSegInterseection(a[0],a[1],a[2],b[i],b[(i+1)%3],P))
				{
					flag++;
					// if(j==4&&k==5)
					// 	cout<<i<<endl;
				}
			}

			if(flag==1)
			{
				ans.push_back({j,k});
			}
		}
	}

	cout<<ans.size()<<endl;
	for(int i=0;i<ans.size();i++)
		cout<<ans[i].first+1<<' '<<ans[i].second+1<<endl;

	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3808kb

input:

1 0 0
-1 0 0
0 1 0.2
0 -1 0.2
0.2 0.2 1
0.2 0.2 -1

output:

3
2 3
2 5
3 4

result:

ok 4 lines

Test #2:

score: 0
Accepted
time: 1ms
memory: 3740kb

input:

-7.8212 6.0669 8.5429
6.8601 5.7125 6.4651
-1.4178 7.0540 -0.0678
3.3535 -0.2770 1.2726
-2.4538 -5.0173 1.3681
0.5774 -4.3039 -5.4755

output:

1
4 6

result:

ok 2 lines

Test #3:

score: 0
Accepted
time: 1ms
memory: 3972kb

input:

-0.7297 0.1660 8.8249
0.2927 -7.0325 6.5672
8.8653 8.8948 3.6222
-7.0054 5.8303 9.7899
-5.2537 2.5352 -9.9275
0.0807 -4.4782 -5.9199

output:

1
2 5

result:

ok 2 lines

Test #4:

score: 0
Accepted
time: 1ms
memory: 3940kb

input:

-0.6478 8.5319 4.8899
-0.3780 -5.7694 -5.9423
-1.7597 4.0013 -4.0520
6.7414 -3.4843 7.1844
6.8234 -8.6367 -2.1165
9.0166 -6.8566 -6.5933

output:

1
2 5

result:

ok 2 lines

Test #5:

score: 0
Accepted
time: 1ms
memory: 3748kb

input:

-8.1542 -3.5082 -9.4465
7.5776 -4.0828 -6.4696
-8.0569 8.8116 -5.2878
-6.7636 -2.1570 5.8144
1.6530 -7.3579 9.3215
-2.9592 3.0434 -9.9900

output:

1
5 6

result:

ok 2 lines

Test #6:

score: 0
Accepted
time: 0ms
memory: 3744kb

input:

-1.4895 -9.2239 4.9174
-1.2844 -5.8982 -7.2312
-8.3142 5.2566 2.7348
9.8243 3.4760 -7.7570
3.0870 -8.5288 -1.3170
-0.7327 -3.4846 -3.6615

output:

1
4 6

result:

ok 2 lines

Test #7:

score: 0
Accepted
time: 1ms
memory: 3804kb

input:

2.6602 -6.6905 -3.7999
-5.5756 8.0805 -7.6713
-1.2337 -8.1267 -2.1753
-8.7845 -1.5313 -1.7837
-9.6123 -9.6594 3.7709
-3.8460 7.7783 6.5572

output:

3
2 5
4 5
4 6

result:

ok 4 lines

Test #8:

score: 0
Accepted
time: 0ms
memory: 3744kb

input:

-3.4596 -6.1669 5.8628
6.7265 -6.3462 -0.4187
7.3097 3.7265 -8.8461
-0.8005 -3.0356 -5.0364
-9.1143 -4.2919 -0.2931
3.4024 9.6496 -8.3551

output:

1
4 6

result:

ok 2 lines

Test #9:

score: 0
Accepted
time: 1ms
memory: 3908kb

input:

-2.7245 -1.7476 -5.5523
0.3886 0.5709 2.4341
1.8639 7.1395 5.1457
-5.6447 -4.8931 1.3328
2.2310 -0.9524 -5.4822
2.5867 -3.9042 3.7924

output:

1
3 6

result:

ok 2 lines

Test #10:

score: 0
Accepted
time: 0ms
memory: 3940kb

input:

5.8832 4.2308 -0.5738
-3.3329 7.0130 -6.9039
-8.7819 7.5500 -3.0628
-8.2697 -2.8331 -8.3711
7.4996 3.2136 -7.4336
-4.5882 -2.4783 -1.6155

output:

3
2 4
2 6
3 4

result:

ok 4 lines

Test #11:

score: 0
Accepted
time: 0ms
memory: 3816kb

input:

7.6850 5.2805 9.4561
5.6332 -4.3292 -1.5505
8.4928 3.1573 2.9439
-3.4751 4.2336 -6.2825
2.0533 1.5089 -5.1904
1.9290 7.1246 -5.6887

output:

1
5 6

result:

ok 2 lines

Test #12:

score: 0
Accepted
time: 1ms
memory: 3740kb

input:

-6.4631 -6.0018 -8.3013
-4.2504 -1.9595 0.0015
9.1460 -9.8983 1.9107
-1.3431 -4.4299 -8.9080
8.8338 4.5798 -4.8447
-9.5794 9.2495 -1.9444

output:

1
3 5

result:

ok 2 lines

Test #13:

score: 0
Accepted
time: 0ms
memory: 3940kb

input:

8.1098 8.7662 -0.5323
-2.7080 1.0147 9.3257
3.3181 -6.7925 -0.2656
-6.2061 -3.7029 6.6701
4.8109 0.9043 -7.7916
8.2971 9.3408 7.4590

output:

1
4 6

result:

ok 2 lines

Test #14:

score: 0
Accepted
time: 1ms
memory: 3692kb

input:

0.7030 -4.2527 -3.3542
4.9892 4.6405 0.1936
6.4665 3.6603 -0.7573
-2.7292 -9.5903 2.4434
2.1488 4.7420 -1.6722
1.4563 -2.9071 0.0344

output:

1
2 4

result:

ok 2 lines

Test #15:

score: 0
Accepted
time: 0ms
memory: 3748kb

input:

2.2889 5.7114 -3.2417
6.2896 -9.2879 -7.6487
8.2127 0.8676 5.0007
0.4564 0.7301 6.3646
-1.3067 3.2770 -3.7341
4.1332 -0.8919 3.0173

output:

1
4 6

result:

ok 2 lines

Test #16:

score: 0
Accepted
time: 1ms
memory: 3944kb

input:

2.2900 -9.7090 -8.5439
8.0837 7.1754 -5.7574
5.5256 -7.1201 -1.8606
-0.3155 4.7771 0.0365
1.5703 8.1374 -1.9806
5.2074 5.9649 4.9484

output:

3
2 4
2 6
5 6

result:

ok 4 lines

Test #17:

score: 0
Accepted
time: 1ms
memory: 3816kb

input:

-6.4601 4.3204 7.3006
7.8092 -4.2867 3.3257
-3.0653 -2.2210 4.2164
-9.4836 -8.0321 -7.2147
-4.4158 -8.7707 8.1745
3.6565 7.4014 5.1368

output:

1
2 4

result:

ok 2 lines

Test #18:

score: 0
Accepted
time: 1ms
memory: 3776kb

input:

-4.6283 -7.3800 4.9382
6.0522 -4.6880 -5.6545
-9.7257 4.1153 2.0589
-0.5804 -6.0445 -9.3820
4.9191 0.4055 9.1288
5.2645 -6.2096 0.3280

output:

3
2 3
2 5
4 5

result:

ok 4 lines

Test #19:

score: 0
Accepted
time: 1ms
memory: 3688kb

input:

1.6735 0.7915 3.4557
-8.6249 -2.1781 7.2110
9.9849 0.8844 4.1306
7.2401 8.6278 -4.6113
9.4239 -5.7525 4.7497
9.6454 4.1612 1.1931

output:

1
5 6

result:

ok 2 lines

Test #20:

score: 0
Accepted
time: 1ms
memory: 3804kb

input:

5.2341 -3.0318 -9.1944
-5.8134 0.1070 3.9918
-3.2804 8.4528 6.6702
7.9394 9.5833 6.9070
-3.8144 -3.6164 -4.7621
1.1059 2.9455 9.5251

output:

1
2 3

result:

ok 2 lines

Test #21:

score: 0
Accepted
time: 1ms
memory: 3780kb

input:

-1.8943 -5.1851 -4.0217
4.9502 4.1022 -9.9857
-6.8457 4.8856 5.9649
-4.6211 -2.1717 5.9769
-8.7984 -2.6598 -2.0037
-8.4303 -7.5469 -6.4235

output:

1
4 5

result:

ok 2 lines

Test #22:

score: 0
Accepted
time: 1ms
memory: 3684kb

input:

7.9195 6.4394 0.3951
9.0419 -7.7326 -5.9354
-0.8932 -5.5514 -7.2127
-3.5689 4.0074 7.3452
-2.6154 -3.7425 2.1830
-4.4288 -8.1715 1.7615

output:

1
3 6

result:

ok 2 lines

Test #23:

score: 0
Accepted
time: 1ms
memory: 3940kb

input:

3.2933 -0.1218 -6.5570
5.3489 2.9165 -7.4639
0.8178 -5.3210 7.7209
9.8004 1.3036 -3.7399
1.3227 3.0378 7.2653
-7.1111 -8.4844 6.4210

output:

1
4 5

result:

ok 2 lines

Test #24:

score: 0
Accepted
time: 1ms
memory: 3940kb

input:

1.4225 5.3619 -6.7873
2.9499 -9.0353 -0.2296
-6.2206 -7.0195 4.1848
-2.7755 0.9867 5.2128
9.6494 6.1635 -6.6496
-9.7593 -2.1909 -2.9135

output:

1
2 3

result:

ok 2 lines

Test #25:

score: 0
Accepted
time: 1ms
memory: 3756kb

input:

-6.9537 -3.4442 5.1607
-0.1657 1.2895 9.0296
0.8678 3.3507 -3.7537
9.9973 -4.0755 -2.0537
-6.6049 2.6974 -5.2174
0.0799 8.4297 -2.6491

output:

1
3 6

result:

ok 2 lines

Test #26:

score: 0
Accepted
time: 1ms
memory: 3976kb

input:

-8.3444 -5.5013 -8.1463
6.3489 -4.8776 -2.2804
3.0889 -5.2444 -4.6936
-8.4036 2.2604 -7.6446
8.4213 3.5109 8.4365
4.7077 9.6175 -3.7947

output:

1
2 4

result:

ok 2 lines

Test #27:

score: 0
Accepted
time: 0ms
memory: 3744kb

input:

3.8723 -8.9602 2.1167
-9.9734 -5.5953 7.7640
8.8383 7.7135 -7.6538
-5.4866 6.5595 1.6564
1.8371 2.6273 2.5534
3.6605 6.8036 6.1923

output:

1
4 6

result:

ok 2 lines

Test #28:

score: 0
Accepted
time: 1ms
memory: 3688kb

input:

-6.2893 -2.7872 1.2822
-4.4563 8.1937 -7.7488
2.3549 -6.7210 9.6031
2.4225 5.5183 -7.2111
3.5653 4.8626 2.5859
-0.7371 6.9050 2.4314

output:

1
4 5

result:

ok 2 lines

Test #29:

score: 0
Accepted
time: 0ms
memory: 3748kb

input:

-8.2571 0.3790 0.5212
-6.4419 7.5129 -1.1452
-0.1440 1.4809 -6.9502
-1.5524 -2.0594 6.4582
-3.4961 8.8344 9.4882
9.7382 9.2265 -6.2893

output:

3
3 5
4 6
5 6

result:

ok 4 lines

Test #30:

score: 0
Accepted
time: 0ms
memory: 3796kb

input:

2.2798 7.0880 4.4285
9.6110 1.6666 7.4605
-5.3077 -9.0711 -6.9948
-3.7607 -1.7572 0.2891
2.5287 -9.1059 4.9583
0.3704 -0.5527 0.8149

output:

1
5 6

result:

ok 2 lines