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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#387302#5106. Islands from the Skyucup-team1209#AC ✓3ms4484kbC++202.2kb2024-04-12 12:30:182024-04-12 12:30:18

Judging History

你现在查看的是最新测评结果

  • [2024-04-12 12:30:18]
  • 评测
  • 测评结果:AC
  • 用时:3ms
  • 内存:4484kb
  • [2024-04-12 12:30:18]
  • 提交

answer

#include<bits/stdc++.h>
using std::cin;
using std::cout;
using ll = long long;
using u64 = unsigned long long;
using db = double;
const int mod = 998244353;
const int N = 1000005;
const db eps = 1e-9;
using pr = std::pair<int, int>;

struct p2 {
	db x, y;
	db abs() {
		return std::sqrt(x * x + y * y);
	}
};
p2 r90(p2 x) {
	return {-x.y, x.x};
}
p2 operator + (p2 x, p2 y) { return {x.x + y.x, x.y + y.y}; }
p2 operator - (p2 x, p2 y) { return {x.x - y.x, x.y - y.y}; }
p2 operator * (db y, p2 x) { return {x.x * y, x.y * y}; }
db operator * (p2 x, p2 y) {
	return x.x * y.y - x.y * y.x;
}

std::vector<std::vector<p2>> is;
struct plane {
	p2 a; db h1;
	p2 b; db h2;
};
std::vector<plane> pl;
bool check(db th, std::vector<p2> & a) {
	for(plane p : pl) {
		p2 r = r90(p.b - p.a);
		db rr = r.abs();
		r.x /= rr;
		r.y /= rr;
		p2 x[4] = {
			p.a + p.h1 * th * r,
			p.b + p.h2 * th * r,
			p.b - p.h2 * th * r,
			p.a - p.h1 * th * r,
		};
		if((x[1] - x[0]) * (x[2] - x[0]) < 0) {
			std::reverse(x + 1, x + 4);
		}
		auto valid = [&](const p2 & x, const p2 & y, const p2 & z) {
			return (y - x) * (z - x) >= 0;
		};
		int ok = 1;
		for(const auto & o : a) {
			if(!valid(x[0], x[1], o)) {
				ok = 0;
				break;
			}
			if(!valid(x[1], x[2], o)) {
				ok = 0;
				break;
			}
			if(!valid(x[2], x[3], o)) {
				ok = 0;
				break;
			}
			if(!valid(x[3], x[0], o)) {
				ok = 0;
				break;
			}
		}
		if(ok) return true;
	}
	return false;
}
int main() {
	std::ios::sync_with_stdio(false), cin.tie(0);
	int n, m; cin >> n >> m;
	is.resize(n);
	for(auto & x : is) {
		int m; cin >> m;
		x.resize(m);
		for(auto & [x, y] : x) {
			cin >> x >> y;
		}
	}
	std::mt19937 gen;
	shuffle(is.begin(), is.end(), gen);
	pl.resize(m);
	for(auto & x : pl) {
		cin >> x.a.x >> x.a.y >> x.h1;
		cin >> x.b.x >> x.b.y >> x.h2;
	}
	db ans = 0;
	for(auto x : is) {
		if(check(ans + eps, x)) {
			continue;
		}
		db l = ans, r = 1e7;
		for(int i = 0;i < 55;++i) {
			db mid = (l + r) / 2;
			if(check(mid, x)) {
				r = mid;
			} else {
				l = mid;
			}
		}
		ans = l;
	}
	if(ans >= 5e6) {
		cout << "impossible" << '\n';
	} else {
		printf("%.10lf\n", atan(ans) * 180 / acos(-1));
	}
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 4252kb

input:

1 1
3
-5 0
5 0
0 5
-10 10 10 10 10 10

output:

44.9999999929

result:

ok 

Test #2:

score: 0
Accepted
time: 0ms
memory: 4288kb

input:

1 1
3
-5 0
5 0
0 5
-10 0 10 10 0 10

output:

26.5650511650

result:

ok 

Test #3:

score: 0
Accepted
time: 0ms
memory: 4220kb

input:

1 1
3
-5 0
5 0
0 5
0 10 10 10 0 10

output:

46.6861433379

result:

ok 

Test #4:

score: 0
Accepted
time: 0ms
memory: 4248kb

input:

1 1
3
-5 0
5 0
0 5
0 10 5 10 0 10

output:

59.4910411312

result:

ok 

Test #5:

score: 0
Accepted
time: 0ms
memory: 4264kb

input:

1 1
3
-5 0
5 0
0 5
0 10 20 -10 0 10

output:

31.2196984456

result:

ok 

Test #6:

score: 0
Accepted
time: 1ms
memory: 4280kb

input:

1 3
3
-5 0
5 0
0 5
-10 0 25 10 0 20
-5 10 10 10 -5 20
-4 1 100 5 10 100

output:

12.5288076977

result:

ok 

Test #7:

score: 0
Accepted
time: 0ms
memory: 4324kb

input:

1 2
4
0 0
20 0
20 40
0 40
-10 30 30 30 30 30
-10 10 30 30 10 30

output:

44.9999999929

result:

ok 

Test #8:

score: 0
Accepted
time: 0ms
memory: 4188kb

input:

1 4
4
0 0
20 0
20 40
0 40
-10 30 30 30 30 30
-10 20 30 30 20 30
-10 10 30 30 10 30
10 -10 30 10 50 30

output:

18.4349488139

result:

ok 

Test #9:

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

input:

1 2
4
0 0
40 0
40 40
0 40
10 10 10 20 20 20
30 10 10 10 30 20

output:

impossible

result:

ok 

Test #10:

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

input:

1 3
4
0 0
20 0
20 40
0 40
-10 30 30 15 30 30
5 30 30 30 30 30
1 50 30 21 50 30

output:

impossible

result:

ok 

Test #11:

score: 0
Accepted
time: 0ms
memory: 4252kb

input:

1 1
4
0 0
40 0
40 40
0 40
-100 -100 20 100 100 10

output:

63.6657521526

result:

ok 

Test #12:

score: 0
Accepted
time: 0ms
memory: 4192kb

input:

1 4
4
-10 -10
10 -10
10 10
-10 10
-100 0 10 100 0 10
0 100 10 0 -100 10
50 50 15 -50 -50 15
-50 50 15 50 -50 15

output:

43.3138566526

result:

ok 

Test #13:

score: 0
Accepted
time: 1ms
memory: 4328kb

input:

1 100
100
822286 0
856789 53904
986567 124632
629039 119995
732157 187986
691605 224716
728650 288493
591087 278144
801573 440668
425257 269876
614456 446428
424157 350893
645680 606334
406524 432904
545628 659551
359831 495265
367048 578376
251435 457360
319990 680014
336526 849968
214009 658652
23...

output:

53.7906384303

result:

ok 

Test #14:

score: 0
Accepted
time: 3ms
memory: 4032kb

input:

100 1
100
461002 481444
460618 481480
460584 481512
460833 481595
460670 481605
460545 481607
460942 481801
460526 481672
460912 481923
460765 481903
460505 481781
460430 481766
460589 481959
460593 482032
460477 481972
460440 481994
460510 482183
460285 481888
460387 482179
460246 481963
460303 482...

output:

impossible

result:

ok 

Test #15:

score: 0
Accepted
time: 3ms
memory: 4456kb

input:

100 1
100
461002 481444
460618 481480
460584 481512
460833 481595
460670 481605
460545 481607
460942 481801
460526 481672
460912 481923
460765 481903
460505 481781
460430 481766
460589 481959
460593 482032
460477 481972
460440 481994
460510 482183
460285 481888
460387 482179
460246 481963
460303 482...

output:

33.6907956081

result:

ok 

Test #16:

score: 0
Accepted
time: 3ms
memory: 4348kb

input:

100 1
100
461002 481444
460618 481480
460584 481512
460833 481595
460670 481605
460545 481607
460942 481801
460526 481672
460912 481923
460765 481903
460505 481781
460430 481766
460589 481959
460593 482032
460477 481972
460440 481994
460510 482183
460285 481888
460387 482179
460246 481963
460303 482...

output:

66.4027966412

result:

ok 

Test #17:

score: 0
Accepted
time: 0ms
memory: 4484kb

input:

100 100
100
461002 481444
460618 481480
460584 481512
460833 481595
460670 481605
460545 481607
460942 481801
460526 481672
460912 481923
460765 481903
460505 481781
460430 481766
460589 481959
460593 482032
460477 481972
460440 481994
460510 482183
460285 481888
460387 482179
460246 481963
460303 4...

output:

4.1890016363

result:

ok 

Test #18:

score: 0
Accepted
time: 3ms
memory: 4416kb

input:

100 11
100
461002 481444
460618 481480
460584 481512
460833 481595
460670 481605
460545 481607
460942 481801
460526 481672
460912 481923
460765 481903
460505 481781
460430 481766
460589 481959
460593 482032
460477 481972
460440 481994
460510 482183
460285 481888
460387 482179
460246 481963
460303 48...

output:

32.4119284733

result:

ok 

Test #19:

score: 0
Accepted
time: 3ms
memory: 4452kb

input:

100 90
100
461002 481444
460618 481480
460584 481512
460833 481595
460670 481605
460545 481607
460942 481801
460526 481672
460912 481923
460765 481903
460505 481781
460430 481766
460589 481959
460593 482032
460477 481972
460440 481994
460510 482183
460285 481888
460387 482179
460246 481963
460303 48...

output:

5.5754489212

result:

ok 

Extra Test:

score: 0
Extra Test Passed