QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#64023 | #5106. Islands from the Sky | Noobie_99 | TL | 205ms | 3868kb | C++20 | 2.9kb | 2022-11-23 22:07:51 | 2022-11-23 22:07:52 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long 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 pointOnLineSegment(a,b,c) ||
pointOnLineSegment(a,b,d) ||
pointOnLineSegment(c,d,a) ||
pointOnLineSegment(c,d,b);
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<200; 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';
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 3ms
memory: 3544kb
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: 0ms
memory: 3524kb
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: 3464kb
input:
1 1 3 -5 0 5 0 0 5 0 10 10 10 0 10
output:
46.6861433419
result:
ok
Test #4:
score: 0
Accepted
time: 2ms
memory: 3464kb
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: 2ms
memory: 3496kb
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: 3604kb
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: 3616kb
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:
45.0000000000
result:
ok
Test #8:
score: 0
Accepted
time: 3ms
memory: 3540kb
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:
18.4349488230
result:
ok
Test #9:
score: 0
Accepted
time: 2ms
memory: 3404kb
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: 3496kb
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: 3624kb
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: 3620kb
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:
43.3138566583
result:
ok
Test #13:
score: 0
Accepted
time: 205ms
memory: 3560kb
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: 194ms
memory: 3864kb
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: 173ms
memory: 3868kb
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: 173ms
memory: 3800kb
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:
66.4027966421
result:
ok
Test #17:
score: -100
Time Limit Exceeded
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...