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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
#64024#5106. Islands from the SkyNoobie_99AC ✓1691ms4016kbC++202.7kb2022-11-23 22:18:362022-11-23 22:18:37

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2022-11-23 22:18:37]
  • 评测
  • 测评结果:AC
  • 用时:1691ms
  • 内存:4016kb
  • [2022-11-23 22:18:36]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = double;
#define debug(x) cerr << "[" << __LINE__ << ' ' << #x << "]: " << (x) << endl

#define sz(x) ((int)(x).size())
using pt = complex<ld>;

constexpr ld EPS = 1e-9;
double cross(pt a, pt b) {return imag(conj(a) * b);}

int orientation(pt a, pt b, pt c) {
    double orien = cross(b - a, c - a);
    return (orien > EPS) - (orien < -EPS);
}

bool pointOnLineSegment(pt a, pt b, pt p) {
    if (orientation(a, b, p) != 0) return false;
    ld dist = norm(a - b);
    return norm(a - p) <= dist && norm(b - p) <= dist;
}

bool lineSegmentIntersection(pt a, pt b, pt c, pt d) {
    if (orientation(a, b, c) == 0 && orientation(a, b, d) == 0) return false;
    return orientation(a, b, c) * orientation(a, b, d) <= 0 &&
    orientation(c, d, a) * orientation(c, d, b) <= 0;
}

mt19937 rng(1983292);
bool inside(pt p, const vector<pt>& polygon) {//points unique
    pt rayEnd = p + pt(1e9+rng(), 1e9+rng());
    int counter = 0, n = sz(polygon);
    for (int i = 0; i < n; i++) {
        pt start = polygon[i], end = polygon[(i + 1) % n];
        if (lineSegmentIntersection(p, rayEnd, start, end)) {
            counter++;
    }}
    return counter & 1;
}

const ld PI = acosl(-1);

int main() {
    cin.tie(0)->sync_with_stdio(0);

    int n, m;
    cin >> n >> m;
    vector<vector<pt>> polygons(n);
    for (auto& polygon : polygons) {
        int ni;
        cin >> ni;
        polygon.resize(ni);
        for (auto& e : polygon) {
            ld x, y;
            cin >> x >> y;
            e = {x, y};
        }
    }

    array<ld, 6> a[m];
    for (auto& [x, y, z, x2, y2, z2] : a) cin >> x >> y >> z >> x2 >> y2 >> z2;

    ld l = 0, r = PI/2;
    for (int k=0; k<40; k++) {
        ld mid = (l+r) / 2;
        vector<bool> covered(n);

        ld f = tan(mid);

        for (auto [x, y, z, x2, y2, z2] : a) {
            pt ortho = {x2 - x, y2 - y};
            ortho /= abs(ortho);
            ortho = {imag(ortho), -real(ortho)};

            pt s = {x, y};
            pt t = {x2, y2};
            vector<pt> poly = {s + ortho*f*z, s - ortho*f*z, t - ortho*f*z2, t + ortho*f*z2};

            for (int i=0; i<n; i++) {
                bool complete = true;
                for (auto& p : polygons[i]) {
                    if (!inside(p, poly)) complete = false;
                }
                if (complete) covered[i] = true;
            }
        }

        if (accumulate(covered.begin(), covered.end(), 0) == n) r = mid;
        else l = mid;
    }

    if (abs(l-PI/2) < EPS) cout << "impossible\n";
    else cout << setprecision(10) << fixed << l/PI*180 << '\n';

}

詳細信息

Test #1:

score: 100
Accepted
time: 0ms
memory: 3752kb

input:

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

output:

45.0000000001

result:

ok 

Test #2:

score: 0
Accepted
time: 2ms
memory: 3796kb

input:

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

output:

26.5650511768

result:

ok 

Test #3:

score: 0
Accepted
time: 2ms
memory: 3756kb

input:

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

output:

46.6861433418

result:

ok 

Test #4:

score: 0
Accepted
time: 2ms
memory: 3760kb

input:

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

output:

59.4910411340

result:

ok 

Test #5:

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

input:

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

output:

31.2196984475

result:

ok 

Test #6:

score: 0
Accepted
time: 2ms
memory: 3720kb

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:

12.5288077090

result:

ok 

Test #7:

score: 0
Accepted
time: 2ms
memory: 3716kb

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:

44.9999999999

result:

ok 

Test #8:

score: 0
Accepted
time: 2ms
memory: 3716kb

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:

18.4349488229

result:

ok 

Test #9:

score: 0
Accepted
time: 3ms
memory: 3856kb

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: 3ms
memory: 3976kb

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: 2ms
memory: 3772kb

input:

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

output:

63.6657521531

result:

ok 

Test #12:

score: 0
Accepted
time: 2ms
memory: 3720kb

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:

43.3138566582

result:

ok 

Test #13:

score: 0
Accepted
time: 12ms
memory: 3800kb

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:

53.7906384311

result:

ok 

Test #14:

score: 0
Accepted
time: 25ms
memory: 3932kb

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: 20ms
memory: 3920kb

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:

33.6907956097

result:

ok 

Test #16:

score: 0
Accepted
time: 27ms
memory: 4016kb

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:

66.4027966420

result:

ok 

Test #17:

score: 0
Accepted
time: 1691ms
memory: 3928kb

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:

4.1890016471

result:

ok 

Test #18:

score: 0
Accepted
time: 232ms
memory: 3960kb

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:

32.4119284771

result:

ok 

Test #19:

score: 0
Accepted
time: 1530ms
memory: 3896kb

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:

5.5754489360

result:

ok 

Extra Test:

score: 0
Extra Test Passed