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QOJ
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 |
---|---|---|---|---|---|---|---|---|---|
#166024 | #6850. Amazing spacecraft | PPP | WA | 84ms | 11884kb | C++17 | 6.0kb | 2023-09-06 00:10:30 | 2023-09-06 00:10:31 |
Judging History
answer
#ifdef DEBUG
#define _GLIBCXX_DEBUG
#endif
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
int n;
const int maxN = 2e5 + 10;
ll x[maxN], y[maxN];
ll px[maxN], py[maxN];
int m;
ll X, Y, R;
void upd(vector<pair<ll,ll>>& F) {
int pos = min_element(F.begin(), F.end()) - F.begin();
rotate(F.begin(), F.begin() + pos, F.end());
}
int tp(pair<ll,ll>& a) {
if (a.first > 0 || (a.first == 0 && a.second > 0)) return -1;
return 1;
}
bool cmp(pair<ll,ll>& a, pair<ll,ll>& b) {
if (tp(a) != tp(b)) return tp(a) < tp(b);
return (a.first * b.second > a.second * b.first);
}
void solve() {
cin >> n;
vector<pair<ll,ll>> A, B;
set<pair<ll,ll>> AA;
for (int i = 1; i <= n; i++) {
cin >> x[i] >> y[i];
x[i] *= -1;
y[i] *= -1;
if (AA.count({x[i], y[i]})) continue;
AA.insert({x[i], y[i]});
A.emplace_back(x[i], y[i]);
}
cin >> m;
AA.clear();
for (int i = 1; i <= m; i++) {
cin >> px[i] >> py[i];
if (AA.count({px[i], py[i]})) continue;
AA.insert({px[i], py[i]});
B.emplace_back(px[i], py[i]);
}
cin >> X >> Y >> R;
upd(A);
upd(B);
vector<pair<ll,ll>> fin;
fin.emplace_back(A[0].first + B[0].first, A[0].second + B[0].second);
vector<pair<ll,ll>> vecs;
for (int i = 0; i < A.size(); i++) {
vecs.emplace_back(A[(i + 1) % A.size()].first - A[i].first, A[(i + 1) % A.size()].second - A[i].second);
}
for (int i = 0; i < B.size(); i++) {
vecs.emplace_back(B[(i + 1) % B.size()].first - B[i].first, B[(i + 1) % B.size()].second - B[i].second);
}
sort(vecs.begin(), vecs.end(), cmp);
for (int i = 0; i < vecs.size(); i++) {
if (i > 0 && tp(vecs[i]) == tp(vecs[i - 1]) && vecs[i].first * vecs[i - 1].second == vecs[i].second * vecs[i - 1].first) {
fin.back().first += vecs[i].first;
fin.back().second += vecs[i].second;
}
else {
fin.emplace_back(fin.back().first + vecs[i].first, fin.back().second + vecs[i].second);
}
}
assert(fin.back() == fin[0]);
fin.pop_back();
for (auto& it : fin) {
it.first -= X;
it.second -= Y;
}
ld ans = 0;
const ld pi = acosl(-1.0);
auto get_pt = [&](ll x1, ll y1) {
ld D = sqrtl(x1 * x1 + y1 * y1);
return make_pair(x1 * R / D, y1 * R / D);
};
auto get_ang = [&](pair<ld,ld>& P, pair<ld,ld>& Q) {
ld T = (P.first * Q.first + P.second * Q.second);
T /= sqrtl((P.first * P.first + P.second * P.second));
T /= sqrtl((Q.first * Q.first + Q.second * Q.second));
T = acosl(T);
if (P.first * Q.second > P.second * Q.first) {
return T * R * R / 2;
}
else {
return (2 * pi - T) * R * R / 2;
}
};
const ld eps = 1e-12;
auto get = [&](ll x1, ll y1, ll x2, ll y2) {
if (x1 * y2 == x2 * y1) return (ld)0.0;
if (x1 * x1 + y1 * y1 > R * R) {
swap(x1, x2);
swap(y1, y2);
}
if (x1 * x1 + y1 * y1 <= R * R && x2 * x2 + y2 * y2 <= R * R) {
return (ld)(llabs(x1 * y2 - x2 * y1)) / 2;
}
if (x1 * x1 + y1 * y1 >= R * R && x2 * x2 + y2 * y2 >= R * R) {
if (x1 * y2 < x2 * y1) {
swap(x1, x2);
swap(y1, y2);
}
ll dx = x2 - x1;
ll dy = y2 - y1;
__int128 A = dx * dx + dy * dy;
__int128 B = 2 * dx * x1 + 2 * dy * y1;
__int128 C = x1 * x1 + y1 * y1 - R * R;
__int128 D = B * B - 4 * A * C;
auto P = get_pt(x1, y1);
auto Q = get_pt(x2, y2);
if (D <= 0) {
return get_ang(P, Q);
}
ld t1 = (-B - sqrtl(D)) / (2 * A);
ld t2 = (-B + sqrtl(D)) / (2 * A);
if (t1 > -eps && t2 < 1 + eps) {
pair<ld,ld> T1 = make_pair(x1 + dx * t1, y1 + dy * t1);
pair<ld,ld> T2 = make_pair(x1 + dx * t2, y1 + dy * t2);
assert(T1.first * T2.second + eps > T2.first * T1.second);
return get_ang(P, T1) + get_ang(T2, Q) + (T1.first * T2.second - T2.first * T1.second) / 2;
}
else {
return get_ang(P, Q);
}
}
else {
assert(x1 * x1 + y1 * y1 < R * R && x2 * x2 + y2 * y2 > R * R);
ll dx = x2 - x1;
ll dy = y2 - y1;
__int128 A = dx * dx + dy * dy;
__int128 B = 2 * dx * x1 + 2 * dy * y1;
__int128 C = x1 * x1 + y1 * y1 - R * R;
__int128 D = B * B - 4 * A * C;
auto P = get_pt(x1, y1);
auto Q = get_pt(x2, y2);
assert(D > 0);
ld t2 = (-B + sqrtl(D)) / (2 * A);
assert(t2 > -eps && t2 < 1 + eps);
pair<ld,ld> T2 = make_pair(x1 + dx * t2, y1 + dy * t2);
if (x1 * y2 > x2 * y1) {
return get_ang(T2, Q) + (x1 * T2.second - y1 * T2.first) / 2;
}
else {
return get_ang(Q, T2) + (y1 * T2.first - x1 * T2.second) / 2;
}
}
};
for (int i = 0; i < fin.size(); i++) {
ll x1 = fin[i].first;
ll y1 = fin[i].second;
ll x2 = fin[(i + 1) % fin.size()].first;
ll y2 = fin[(i + 1) % fin.size()].second;
if (x1 * y2 > x2 * y1) {
ans += get(x1, y1, x2, y2);
}
else {
ans -= get(x1, y1, x2, y2);
}
}
if (ans < eps) {
cout << "0.0000\n";
return;
}
cout << fixed << setprecision(10) << ans / (pi * R * R) << '\n';
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
#ifdef DEBUG
freopen("input.txt", "r", stdin);
#endif
int tst;
cin >> tst;
while (tst--) {
solve();
}
return 0;
}
詳細信息
Test #1:
score: 0
Wrong Answer
time: 84ms
memory: 11884kb
input:
1122 11 -500 -114 -496 -490 -407 -500 462 -497 491 -243 492 -215 497 277 478 493 -415 498 -465 484 -495 176 15 -500 -11 -496 -403 -489 -497 -401 -499 -103 -499 447 -497 471 -476 477 -440 494 -290 488 367 482 451 454 489 3 499 -472 499 -497 469 713 -985 37 17 -496 17 -495 -430 -472 -492 -211 -500 76 ...
output:
0.6788959810 0.1050462903 0.0467750297 0.6318242066 0.7741488843 0.3651325585 0.7204788730 0.0861343319 0.5573257600 0.5395169868 0.6953245674 0.1941201137 0.9429553108 0.0230063799 0.8571185613 0.9358148160 0.1197849758 0.0000 0.0000625650 0.8291367613 0.8209104046 0.0002322773 0.3606524475 0.94951...
result:
wrong answer 1st lines differ - expected: '0.6789', found: '0.6788959810'