QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#617873#9227. Henry the Plumberucup-team5062#WA 1ms3804kbC++173.6kb2024-10-06 17:28:162024-10-06 17:28:16

Judging History

你现在查看的是最新测评结果

  • [2024-10-06 17:28:16]
  • 评测
  • 测评结果:WA
  • 用时:1ms
  • 内存:3804kb
  • [2024-10-06 17:28:16]
  • 提交

answer

#include <cmath>
#include <string>
#include <vector>
#include <iostream>
#include <algorithm>
using namespace std;

const long double EPS = 1.0e-11;

class point {
public:
	long double x, y;
	point() : x(0), y(0) {}
	point(long double x_, long double y_) : x(x_), y(y_) {}
	point& operator+=(const point& p) { x += p.x; y += p.y; return *this; }
	point& operator-=(const point& p) { x -= p.x; y -= p.y; return *this; }
	point& operator*=(long double v) { x *= v; y *= v; return *this; }
	point& operator/=(long double v) { x /= v; y /= v; return *this; }
	point operator+(const point& p) const { return point(*this) += p; }
	point operator-(const point& p) const { return point(*this) -= p; }
	point operator*(long double v) const { return point(*this) *= v; }
	point operator/(long double v) const { return point(*this) /= v; }
	long double abs() const { return sqrt(x * x + y * y); }
	long double dot(const point& p) const { return x * p.x + y * p.y; }
	long double cross(const point& p) const { return x * p.y - y * p.x; }
	point rotate90() const { return point(y, -x); }
};

class point3d {
public:
	double x, y, z;
	point3d() : x(0), y(0), z(0) {}
	point3d(double x_, double y_, double z_) : x(x_), y(y_), z(z_) {}
	point3d& operator+=(const point3d& p) { x += p.x; y += p.y; z += p.z; return *this; }
	point3d& operator-=(const point3d& p) { x -= p.x; y -= p.y; z -= p.z; return *this; }
	point3d& operator*=(long double v) { x *= v; y *= v; z *= v; return *this; }
	point3d& operator/=(long double v) { x /= v; y /= v; z /= v; return *this; }
	point3d operator+(const point3d& p) const { return point3d(*this) += p; }
	point3d operator-(const point3d& p) const { return point3d(*this) -= p; }
	point3d operator*(long double v) const { return point3d(*this) *= v; }
	point3d operator/(long double v) const { return point3d(*this) /= v; }
	long double abs() const { return sqrt(x * x + y * y + z * z); }
	string to_string() const {
		return "(" + std::to_string(x) + ", " + std::to_string(y) + ", " + std::to_string(z) + ")";
	}
};

point cross_point(const point& s0, const point& s1, const point& t0, const point& t1) {
	long double z = (t0 - s0).cross(t1 - t0) / (s1 - s0).cross(t1 - t0);
	return s0 + (s1 - s0) * z;
}

bool check(const point& p1, const point& p2, const point& p3, const point& p4, long double z1, long double z3) {
	// check parallel case
	if (p2.cross(p4) == 0) {
		return (p3 - p1).dot(p2) == 0;
	}

	// check for non-parallel case
	auto sqr = [&](long double x) -> long double {
		return x * x;
	};
	point3d q1(p1.x, p1.y, z1);
	point3d q3(p3.x, p3.y, z3);
	point z = cross_point(p1, p1 + p2.rotate90(), p3, p3 + p4.rotate90());
	point3d mp = (q1 + q3) / 2;
	long double r = (q3 - q1).abs() / 2;
	long double d = (z - point(mp.x, mp.y)).abs();
	if (d > r + EPS) {
		return false;
	}
	long double delta = sqrt(r * r - d * d);
	point3d s1(z.x, z.y, mp.z + delta);
	point3d s2(z.x, z.y, mp.z - delta);
	return ((s1 - q1).abs() > EPS && (s1 - q3).abs() > EPS) || ((s2 - q1).abs() > EPS && (s2 - q3).abs() > EPS);
}

int solve(const point& p1, const point& p2, const point& p3, const point& p4, long double z1, long double z3) {
	// case for answer = 2
	if ((p3 - p1).dot(p2) == 0 && (p1 - p3).dot(p4) == 0) {
		return 2;
	}

	// case for answer = 3
	if (check(p1, p2, p3, p4, z1, z3)) {
		return 3;
	}

	return 4;
}

int main() {
	int T;
	cin >> T;
	for (int id = 1; id <= T; id++) {
		point p1, p2, p3, p4; long double z1, z3;
		cin >> p1.x >> p1.y >> z1 >> p2.x >> p2.y;
		cin >> p3.x >> p3.y >> z3 >> p4.x >> p4.y;
		int res = solve(p1, p2, p3, p4, z1, z3);
		cout << res << endl;
	}
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3776kb

input:

2
-1 -1 3
1 1
2 2 3
2 2
5 5 1
3 0
7 6 -2
1 -2

output:

4
3

result:

ok 2 number(s): "4 3"

Test #2:

score: 0
Accepted
time: 0ms
memory: 3736kb

input:

100
-13 -5 -7
-19 19
-19 -13 0
-7 15
-20 20 19
-17 18
20 -20 -1
18 -19
-18 15 -14
-19 18
19 -20 6
20 -19
-12 9 1
7 -16
-13 -14 -8
8 -13
-19 16 9
20 -19
19 -18 -11
19 -18
19 20 -8
12 20
-11 -9 18
-19 -18
8 11 -13
12 -18
18 13 8
4 -18
-16 20 17
-19 18
20 -18 -3
20 -19
-17 -20 -5
-18 -19
19 16 15
19 20...

output:

4
4
4
4
4
4
3
4
4
4
3
4
4
3
3
4
3
4
4
4
4
4
4
4
4
4
4
4
3
3
3
4
4
4
4
4
4
4
4
4
4
4
4
4
3
4
4
4
4
4
3
4
3
4
4
4
3
4
4
4
4
4
4
4
3
4
3
4
4
4
4
4
4
4
4
4
4
4
4
3
4
4
4
4
4
4
4
3
3
4
3
4
4
4
4
4
4
4
4
4

result:

ok 100 numbers

Test #3:

score: 0
Accepted
time: 1ms
memory: 3784kb

input:

100
20 -9 -19
9 13
-12 14 -18
-17 12
2 -3 -2
2 -19
-8 9 -15
-19 3
-16 -16 -18
2 15
19 17 -6
-10 11
14 -20 -6
-19 7
-17 -8 -1
-7 -15
7 -15 3
2 13
-15 -9 11
15 2
-17 20 13
11 -8
-12 18 16
-18 -17
-17 15 -2
-20 1
8 -6 0
-16 -19
-5 -14 16
-17 10
-7 -16 17
-10 -13
1 1 -13
17 11
-3 -3 -18
4 -17
19 -6 -17
...

output:

3
4
4
4
3
3
4
3
3
4
4
3
4
4
3
3
4
3
4
4
4
4
3
4
3
4
4
3
3
4
4
4
3
4
3
3
4
3
3
4
3
4
3
4
3
4
3
4
4
3
3
4
3
3
4
3
3
4
4
3
3
4
4
3
4
3
3
4
3
3
3
4
3
4
3
4
3
4
3
4
4
3
3
4
3
4
4
4
4
3
3
3
3
4
3
3
4
4
4
4

result:

ok 100 numbers

Test #4:

score: 0
Accepted
time: 1ms
memory: 3792kb

input:

100
10 -9 -13
8 -7
-3 3 -15
-5 11
-14 -20 -17
13 -13
3 20 16
-20 8
-2 -15 -20
8 20
20 -10 15
12 6
4 2 20
14 14
-13 6 -20
-10 20
-18 -15 19
10 9
4 18 -11
-16 -15
20 -11 6
15 -10
-17 -19 -6
-6 8
-19 -19 -18
-11 -9
-6 4 18
11 -5
2 -18 20
0 -12
-10 -18 -17
20 -20
19 19 17
2 -11
-20 2 -16
-19 13
-6 6 -5
...

output:

4
3
4
3
4
4
3
3
3
4
4
3
3
3
4
4
3
3
3
4
4
4
3
4
3
3
3
3
4
4
3
4
4
3
4
3
3
4
4
3
3
3
4
4
3
4
4
4
4
4
3
4
3
4
4
4
3
4
4
3
4
4
3
3
3
4
3
3
3
3
4
4
4
4
3
4
4
3
4
3
4
3
3
3
4
4
3
4
3
4
4
3
4
3
4
4
3
3
4
4

result:

ok 100 numbers

Test #5:

score: 0
Accepted
time: 1ms
memory: 3792kb

input:

100
4 -19 -4
4 18
-15 20 -15
-16 18
-11 -10 -13
-7 14
20 -17 0
6 -20
-12 18 -8
3 -14
20 16 17
10 17
0 19 -17
-11 6
18 -19 -7
13 -13
-17 17 -17
-5 -1
17 -13 19
-10 -12
9 -3 -19
-12 -2
-16 11 13
12 -8
17 12 11
-1 20
13 -14 -5
-4 16
-20 8 -16
16 -3
9 -3 -6
14 -12
16 4 9
-16 -10
-15 -3 -17
-20 -2
20 2 1...

output:

4
4
3
4
3
4
4
4
4
4
3
4
3
4
3
3
4
3
3
4
3
4
3
3
4
4
4
4
4
3
3
4
3
4
3
4
4
4
4
4
3
4
4
4
3
4
4
4
4
4
4
4
4
3
4
4
4
4
4
3
3
3
4
4
4
4
4
3
3
4
3
4
4
4
4
3
4
4
3
4
3
4
3
4
4
4
4
4
4
3
4
3
4
4
4
4
3
4
4
4

result:

ok 100 numbers

Test #6:

score: 0
Accepted
time: 1ms
memory: 3736kb

input:

100
-1 -13 -13
-14 -8
-1 -3 15
6 -14
19 -1 -16
-20 -14
-16 12 18
20 17
-19 17 -6
16 13
15 -8 18
16 10
17 20 0
0 -13
-19 -19 15
-14 -14
-11 -16 17
17 18
0 2 -10
20 -5
-8 -16 0
3 12
-19 0 -3
1 -14
-18 3 -12
-14 -15
20 1 17
20 -4
-20 6 20
20 -7
20 1 -9
-13 -4
2 17 -18
11 13
8 16 14
-12 16
-11 12 -20
0 ...

output:

3
4
4
4
3
4
4
4
3
4
4
4
3
4
3
4
3
4
3
3
4
4
3
3
3
4
4
4
3
3
4
4
4
3
4
4
4
4
3
3
4
4
4
4
4
4
3
4
4
3
3
3
4
3
3
4
4
4
3
4
4
3
3
3
3
4
4
4
4
3
3
3
4
4
3
4
3
3
4
3
3
4
3
4
4
3
3
3
4
4
3
3
4
3
3
3
3
3
4
3

result:

ok 100 numbers

Test #7:

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

input:

100
-16 0 17
16 16
16 -12 -16
14 12
19 -13 -20
-16 -8
-14 20 14
-6 -20
6 -19 12
18 -2
7 20 -19
3 -20
19 -5 12
-16 -12
-9 -11 0
19 4
11 -20 12
14 -14
-19 16 1
-12 -1
-8 -14 11
-15 2
9 -11 18
4 20
-14 3 -16
-20 -4
11 -16 7
-10 -11
20 16 -19
-10 8
-20 0 13
-17 -8
20 -17 2
14 -2
-17 13 7
-8 -11
-8 -6 -2...

output:

4
3
3
4
4
3
3
4
3
3
3
4
3
4
4
4
4
4
4
4
4
4
4
4
4
3
4
4
4
4
4
3
4
4
3
4
3
4
4
4
4
4
4
3
4
3
4
4
4
3
3
3
4
4
4
3
4
4
4
3
4
3
4
4
4
4
4
4
3
3
3
4
3
4
4
4
3
4
4
3
3
4
3
4
3
4
4
3
4
3
4
3
4
3
4
3
3
4
3
4

result:

ok 100 numbers

Test #8:

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

input:

1
1 -1 1
1 1
1 1 2
-1 1

output:

3

result:

ok 1 number(s): "3"

Test #9:

score: 0
Accepted
time: 1ms
memory: 3668kb

input:

100
20 19 -6
18 19
-19 -20 14
19 20
-1 19 -19
6 18
12 -20 19
18 19
4 0 -18
-19 10
-13 12 7
-8 11
-19 -18 -9
-19 -20
18 20 11
18 19
-19 19 8
18 -19
18 -19 -12
-19 20
11 12 9
-15 -2
-12 -12 -4
3 11
-19 9 -10
-18 3
-3 -19 4
20 11
-19 -20 10
-20 -19
17 20 -10
19 18
-17 -20 14
19 20
17 20 -6
-18 -19
9 -1...

output:

4
4
4
4
4
4
3
4
4
3
4
4
4
4
3
4
4
3
4
4
4
4
3
4
4
4
4
3
4
4
3
4
4
3
3
4
4
4
4
4
4
4
4
4
4
3
4
4
3
4
3
4
4
4
4
3
3
4
4
4
3
3
4
4
3
4
3
3
4
3
4
3
4
4
4
4
4
4
4
3
4
4
3
4
4
3
4
4
4
4
4
4
4
4
4
3
4
4
4
4

result:

ok 100 numbers

Test #10:

score: 0
Accepted
time: 1ms
memory: 3796kb

input:

100
13 -13 12
5 12
12 20 14
-14 -8
18 -17 -5
-1 -17
-10 9 9
-10 18
13 -17 -1
19 -18
11 1 -2
-17 -18
16 19 -17
-8 6
-14 -1 16
-18 6
4 -14 18
-10 14
13 3 12
-1 -14
-20 1 -11
12 15
20 4 -20
-7 -17
8 -19 1
-9 -10
-19 8 -4
-17 18
6 -14 -12
-12 -5
-12 6 19
-18 -11
-16 -16 -10
15 16
12 18 -9
-17 16
-18 5 -...

output:

4
4
4
4
4
4
4
4
4
4
4
4
4
3
3
3
3
4
3
4
3
3
4
4
4
4
4
4
3
3
3
3
3
3
3
3
4
3
4
3
4
4
4
4
4
3
4
3
3
4
4
3
3
3
3
3
4
3
3
3
3
3
3
3
3
3
3
4
4
4
4
3
4
3
4
4
4
4
3
4
4
3
3
3
3
4
4
4
4
3
4
3
4
4
3
4
4
4
4
4

result:

ok 100 numbers

Test #11:

score: 0
Accepted
time: 1ms
memory: 3760kb

input:

73
14 -7 7
1 10
-16 -4 11
1 10
-14 -13 -16
1 -8
-6 -12 -10
-2 16
-5 -10 -12
0 -13
15 -10 0
0 -2
19 20 19
17 -9
-14 -20 -15
-20 6
3 19 4
-16 -1
5 -13 11
-16 -1
-19 -20 -17
0 11
-19 -20 -10
2 -3
-9 -15 -18
1 -13
17 -13 -11
1 -13
10 -20 17
8 -1
15 20 1
16 -2
-20 -18 8
0 -11
12 -18 17
0 -10
-4 0 10
9 0
...

output:

2
2
2
4
2
2
2
2
2
2
2
2
2
4
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
2
2
2
3
2
2
2
2
2
4
2
2
2
2
2
2
4
3
4
2
2
2
2
2
4
3
2
2
2
4
2
2
2
2
2
4
2
2
3
2
2

result:

ok 73 numbers

Test #12:

score: -100
Wrong Answer
time: 1ms
memory: 3756kb

input:

100
-20 -20 10
-1 1
20 20 10
-1 6
15 -19 12
-17 20
-18 20 10
17 15
7 -19 0
-16 13
18 17 -10
11 15
17 13 9
-16 15
-6 -13 14
-13 -20
-19 2 13
-8 13
20 -13 -12
-19 -8
-20 20 4
-11 -11
20 -20 4
10 -10
-12 3 0
12 -17
-14 20 17
12 17
6 -19 7
-11 -20
14 8 -6
17 -13
-12 10 -2
19 20
15 -15 -9
-20 3
4 19 -19
...

output:

3
3
4
3
3
3
4
3
3
4
3
3
3
3
3
4
3
4
4
4
3
3
3
4
3
4
3
3
4
4
3
3
4
3
3
3
3
3
3
3
4
3
4
4
3
3
3
4
4
3
3
3
4
3
4
4
3
3
4
4
3
4
3
3
4
3
3
4
3
3
3
3
4
3
3
4
4
4
3
4
3
3
4
3
3
3
3
3
4
3
4
3
3
4
4
4
3
4
4
3

result:

wrong answer 1st numbers differ - expected: '4', found: '3'