QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#822226 | #9869. Horizon Scanning | potpot | WA | 1ms | 4120kb | C++20 | 3.1kb | 2024-12-20 02:07:21 | 2024-12-20 02:07:21 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
template <class T> int sgn(T x) { return (x > 0) - (x < 0); }
template<class T>
struct Point {
typedef Point P;
T x, y;
explicit Point(T x=0, T y=0) : x(x), y(y) {}
bool operator<(P p) const { return tie(x,y) < tie(p.x,p.y); }
bool operator==(P p) const { return tie(x,y)==tie(p.x,p.y); }
P operator+(P p) const { return P(x+p.x, y+p.y); }
P operator-(P p) const { return P(x-p.x, y-p.y); }
P operator*(T d) const { return P(x*d, y*d); }
P operator/(T d) const { return P(x/d, y/d); }
T dot(P p) const { return x*p.x + y*p.y; }
T cross(P p) const { return x*p.y - y*p.x; }
T cross(P a, P b) const { return (a-*this).cross(b-*this); }
T dist2() const { return x*x + y*y; }
double dist() const { return sqrt((double)dist2()); }
// angle to x-axis in interval [-pi, pi]
double angle() const { return atan2(y, x); }
P unit() const { return *this/dist(); } // makes dist()=1
P perp() const { return P(-y, x); } // rotates +90 degrees
P normal() const { return perp().unit(); }
// returns point rotated 'a' radians ccw around the origin
P rotate(double a) const {
return P(x*cos(a)-y*sin(a),x*sin(a)+y*cos(a)); }
friend ostream& operator<<(ostream& os, P p) {
return os << "(" << p.x << "," << p.y << ")"; }
};
void solve() {
int n, k;
cin >> n >> k;
vector<Point<int>> islands(n);
for (int i = 0; i < n; i++) {
cin >> islands[i].x >> islands[i].y;
}
sort(islands.begin(), islands.end(), [](const auto& a, const auto &b) {
return a.angle() < b.angle();
});
vector<pair<Point<int>, int>> angles;
for (int i = 0; i < islands.size(); i++) {
double cur_angle = islands[i].angle();
if (angles.size() == 0 || abs(cur_angle - angles[angles.size()-1].first.angle()) > 1e-5) {
angles.push_back(make_pair(islands[i], 1));
}
else {
angles[angles.size()-1].second++;
}
}
// add 360o
int sz = angles.size();
for (int i = 0; i < sz; i++) {
angles.push_back(make_pair(angles[i].first.rotate(2 * M_PI), angles[i].second));
}
double ans = 0.0;
int l = 0, r = 0, cur_cnt = angles[0].second;
while (r < angles.size()-1) {
while (r < l + angles.size() && (cur_cnt <= k || l == r)) {
r++;
cur_cnt += angles[r].second;
}
if (l >= 0 && l < angles.size() && r >= l && r < angles.size()) {
double angle_diff = angles[r].first.angle() - angles[l].first.angle();
if (angle_diff < 0) angle_diff += 2 * M_PI;
if (r == l + angles.size()) angle_diff = 2 * M_PI;
// cout << "test " << l << " " << r << " " << angle_diff << "\n";
ans = max(ans, angle_diff);
}
while (l+1 <= r && cur_cnt > k) {
cur_cnt -= angles[l].second;
l++;
}
}
cout << fixed << setprecision(10) << ans << "\n";
}
int main() {
ios::sync_with_stdio(false);
int T;
cin >> T;
while (T--) {
solve();
}
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 0
Wrong Answer
time: 1ms
memory: 4120kb
input:
5 1 1 0 1 8 2 1 0 1 1 0 1 -1 1 -1 0 -1 -1 0 -1 1 -1 4 2 -1 1 0 1 0 2 1 1 4 2 -1000000000 0 -998244353 1 998244353 1 1000000000 0 3 1 0 1 0 2 0 -1
output:
0.0000000000 1.5707963268 5.4977871438 3.1415926546 3.1415926536
result:
wrong answer 1st numbers differ - expected: '6.2831853', found: '0.0000000', error = '1.0000000'