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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#333420#5679. Linked Trianglescrimson231AC ✓1ms3900kbC++205.7kb2024-02-19 21:36:202024-02-19 21:36:21

Judging History

你现在查看的是最新测评结果

  • [2024-02-19 21:36:21]
  • 评测
  • 测评结果:AC
  • 用时:1ms
  • 内存:3900kb
  • [2024-02-19 21:36:20]
  • 提交

answer

#include <iostream>
#include <algorithm>
#include <vector>
#include <cmath>
#include <cstring>
typedef long long ll;
//typedef long double ld;
typedef double ld;
const ld INF = 1e17;
const ld TOL = 1e-7;
int N, M, T, Q, tmp[2]{ 0 };
bool V[6];

struct Seq {
	ll x, y;
	Seq(ll X = 0, ll Y = 0) : x(X), y(Y) {}
	bool operator == (const Seq& s) const { return x == s.x && y == s.y; }
	bool operator < (const Seq& s) const { return x == s.x ? y < s.y : x < s.x; }
	void print() const { std::cout << x << " " << y << "\n"; return; }
}; std::vector<Seq> seq;
bool zero(const ld& x) { return std::abs(x) < TOL; }
struct Pos {
	ll x, y;
	Pos(ll X = 0, ll Y = 0) : x(X), y(Y) {}
	bool operator == (const Pos& p) const { return x == p.x && y == p.y; }
	bool operator < (const Pos& p) const { return x == p.x ? y < p.y : x < p.x; }
	Pos operator + (const Pos& p) const { return { x + p.x, y + p.y }; }
	Pos operator - (const Pos& p) const { return { x - p.x, y - p.y }; }
	Pos operator * (const ll& n) const { return { x * n, y * n }; }
	Pos operator / (const ll& n) const { return { x / n, y / n }; }
	ll operator * (const Pos& p) const { return { x * p.x + y * p.y }; }
	ll operator / (const Pos& p) const { return { x * p.y - y * p.x }; }
	Pos& operator += (const Pos& p) { x += p.x; y += p.y; return *this; }
	Pos& operator -= (const Pos& p) { x -= p.x; y -= p.y; return *this; }
	Pos& operator *= (const ll& scale) { x *= scale; y *= scale; return *this; }
	Pos& operator /= (const ll& scale) { x /= scale; y /= scale; return *this; }
	Pos operator ~ () const { return { -y, x }; }
	ll operator ! () const { return x * y; }
	ld mag() const { return hypot(x, y); }
	void print() const { std::cout << x << " " << y << "\n"; return; }
}; std::vector<Pos> ans;
struct Pos3D {
	ld x, y, z;
	Pos3D(ld X = 0, ld Y = 0, ld Z = 0): x(X), y(Y), z(Z) {}
	bool operator == (const Pos3D& p) const { return zero(x - p.x) && zero(y - p.y) && zero(z - p.z); }
	ld operator * (const Pos3D& p) const { return x * p.x + y * p.y + z * p.z; }
	Pos3D operator / (const Pos3D& p) const {
		Pos3D ret;
		ret.x = y * p.z - z * p.y;
		ret.y = z * p.x - x * p.z;
		ret.z = x * p.y - y * p.x;
		return ret;
	}
	Pos3D operator + (const Pos3D& p) const { return { x + p.x, y + p.y, z + p.z }; }
	Pos3D operator - (const Pos3D& p) const { return { x - p.x, y - p.y, z - p.z }; }
	Pos3D operator * (const ld& scalar) const { return { x * scalar, y * scalar, z * scalar }; }
	Pos3D& operator += (const Pos3D& p) { x + p.x; y + p.y; z + p.z; return *this; }
	Pos3D& operator *= (const ld& scalar) { x * scalar; y * scalar; z * scalar; return *this; }
	ld mag() const { return sqrtl(x * x + y * y + z * z); }
} candi[6], MAXP{ INF, INF, INF };
std::vector<Pos3D> tri1, tri2;
struct Line3D {
	Pos3D dir, p0;
	Line3D(Pos3D DIR = Pos3D(0, 0, 0), Pos3D P0 = Pos3D(0, 0, 0)): dir(DIR), p0(P0) {}
};
struct Plane {
	Pos3D norm, p0;
	Plane(Pos3D NORM = Pos3D(0, 0, 0), Pos3D P0 = Pos3D(0, 0, 0)): norm(NORM), p0(P0) {}
};
Pos3D cross(const Pos3D& d1, const Pos3D& d2, const Pos3D& d3) { return (d2 - d1) / (d3 - d2); }
ld dot(const Pos3D& d1, const Pos3D& d2, const Pos3D& d3) { return (d2 - d1) * (d3 - d2); }
bool on_seg_strong(const Pos3D& d1, const Pos3D& d2, const Pos3D& d3) {
	ld ret = dot(d1, d3, d2);
	return zero(cross(d1, d2, d3).mag()) && (ret > 0 || zero(ret));
}
bool on_seg_weak(const Pos3D& d1, const Pos3D& d2, const Pos3D& d3) {
	ld ret = dot(d1, d3, d2);
	return zero(cross(d1, d2, d3).mag()) && ret > 0;
}
Line3D L(const Pos3D& p1, const Pos3D& p2) { return { p2 - p1, p1 }; }
Plane P(const Pos3D& p1, const Pos3D& p2, const Pos3D& p3) {
	Pos3D norm = (p2 - p1) / (p3 - p2);
	return Plane(norm, p1);
}
Plane P(std::vector<Pos3D> tri) {
	Pos3D& p1 = tri[0], p2 = tri[1], p3 = tri[2];
	Pos3D norm = (p2 - p1) / (p3 - p2);
	return Plane(norm, p1);
}
Pos3D intersection(const Plane& S, const Line3D& l) {
	ld det = S.norm * l.dir;
	if (zero(det)) return { INF, INF, INF };
	ld t = (S.norm * S.p0 - S.norm * l.p0) / det;
	return l.p0 + (l.dir * t);
}
int inner_check(std::vector<Pos3D> H, const Pos3D& p) {
	int sz = H.size();
	if (sz <= 1) return -1;
	if (sz == 2) {
		if (on_seg_strong(H[0], H[1], p)) return 0;
		else return -1;
	}
	Plane S = P(H);
	Pos3D norm = S.norm;
	Pos3D torque1 = cross(H[0], H[1], p);
	for (int i = 1; i < sz; i++) {
 		Pos3D cur = H[i], nxt = H[(i + 1) % sz];
		Pos3D torqueI = cross(cur, nxt, p);
		if (zero(torqueI.mag())) {
			if (on_seg_strong(cur, nxt, p)) return 0;
			else return -1;
		}
		if (torque1 * torqueI < 0) return -1;
	}
	return 1;
}
bool brute(const Seq& s) {
	bool IN = 0, OUT = 0;
	Plane TRI2 = P(tri2);
	for (int i = 0; i < 3; i++) {
		Pos3D cur = tri1[i], nxt = tri1[(i + 1) % 3];
		Pos3D inx = intersection(TRI2, L(cur, nxt));
		if (inx == MAXP) continue;
		if (on_seg_weak(cur, nxt, inx) || cur == inx) {
			if (inner_check(tri2, inx) == 1) IN = 1;
			if (inner_check(tri2, inx) == -1) OUT = 1;
		}
	}
	return IN && OUT;
}
void brute() {
	for (int i = 1; i < 5; i++) {
		tri1.push_back(candi[i]);
		for (int j = i + 1; j < 6; j++) {
			tri1.push_back(candi[j]);
			for (int k = 1; k < 6; k++)
				if (k != i && k != j)
					tri2.push_back(candi[k]);
			if (brute(Seq(0, 0))) seq.push_back(Seq(i + 1, j + 1));
			tri1.pop_back();
			tri2.clear();
		}
		tri1.pop_back();
	}
	return;
}
void solve() {
	std::cin.tie(0)->sync_with_stdio(0);
	std::cout.tie(0);
	for (int i = 0; i < 6; i++) std::cin >> candi[i].x >> candi[i].y >> candi[i].z;
	tri1.push_back(candi[0]); V[0] = 1;
	brute();
	//std::sort(seq.begin(), seq.end());
	int sz = seq.size();
	std::cout << sz << "\n";
	for (int i = 0; i < sz; i++) seq[i].print();
	return;
}
int main() { solve(); return 0; }//boj27861 Linked Triangles

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3708kb

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: 0ms
memory: 3748kb

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: 0ms
memory: 3748kb

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: 0ms
memory: 3696kb

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: 0ms
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: 3872kb

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: 0ms
memory: 3668kb

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: 1ms
memory: 3716kb

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: 3672kb

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: 3764kb

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: 3712kb

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: 0ms
memory: 3900kb

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: 3724kb

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: 0ms
memory: 3748kb

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: 3772kb

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: 0ms
memory: 3664kb

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: 0ms
memory: 3780kb

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: 0ms
memory: 3704kb

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: 0ms
memory: 3752kb

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: 0ms
memory: 3900kb

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: 0ms
memory: 3776kb

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: 3720kb

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: 3772kb

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: 0ms
memory: 3720kb

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: 0ms
memory: 3712kb

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: 3752kb

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: 1ms
memory: 3708kb

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: 0ms
memory: 3788kb

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: 3880kb

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: 3744kb

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