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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 |
---|---|---|---|---|---|---|---|---|---|
#599414 | #9434. Italian Cuisine | ucup-team1766# | WA | 23ms | 3588kb | C++20 | 3.4kb | 2024-09-29 04:16:40 | 2024-09-29 04:16:40 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
double EPS = 1e-10;
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 << ")"; }
};
typedef Point<long long> P;
double segDist(P& s, P& e, P& p) {
if (s==e) return (p-s).dist();
auto d = (e-s).dist2(), t = min(d, max((long long) 0, (p-s).dot(e-s)));
return ((p-s)*d-(e-s)*t).dist()/d;
}
long long area_sum(vector<P> &polygon, vector<__int128_t> &psum, int x, int y) {
if (x < y) {
return (long long) (psum[y - 1] - (x > 0 ? psum[x - 1] : 0) + polygon[y].cross(polygon[x]));
}
return (long long) ((psum[psum.size() - 1] - psum[x - 1]) + (y > 0 ? psum[y - 1] : 0) + polygon[y].cross(polygon[x]));
}
int orientation(P &a, P &b, P &c) {
__int128_t val = (b.y - a.y) * (c.x - b.x) - (b.x - a.x) * (c.y - b.y);
if (val == 0) {
return 0;
}
return (val > 0) ? -1 : 1;
}
void solve() {
int n;
cin >> n;
P center;
long long rad;
cin >> center.x >> center.y >> rad;
vector<P> polygon(n);
for (int i = 0; i < n; i++) {
cin >> polygon[i].x >> polygon[i].y;
}
vector<long long> areas(n);
vector<__int128_t> psum(n);
for (int i = 0; i < n; i++) {
areas[i] = polygon[i].cross(polygon[(i + 1) % n]);
psum[i] = (i > 0 ? psum[i - 1] : 0) + areas[i];
}
long long res = 0;
for (int i = 0; i < n; i++) {
int l = 2;
int r = n - 2;
int best = -1;
while (l <= r) {
int m = (l + r) / 2;
if (orientation(polygon[i], polygon[(i + m) % n], center) <= 0) {
r = m - 1;
continue;
}
double cur_dist = segDist(polygon[i], polygon[(i + m) % n], center);
if (cur_dist >= rad - EPS) {
best = m;
l = m + 1;
} else {
r = m - 1;
}
}
if (best != -1) {
long long cur_area = area_sum(polygon, psum, i, (i + best) % n);
res = max(res, cur_area);
}
}
cout << res << "\n";
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int t;
cin >> t;
while (t--) {
solve();
}
}
詳細信息
Test #1:
score: 100
Accepted
time: 0ms
memory: 3484kb
input:
3 5 1 1 1 0 0 1 0 5 0 3 3 0 5 6 2 4 1 2 0 4 0 6 3 4 6 2 6 0 3 4 3 3 1 3 0 6 3 3 6 0 3
output:
5 24 0
result:
ok 3 number(s): "5 24 0"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3588kb
input:
1 6 0 0 499999993 197878055 -535013568 696616963 -535013568 696616963 40162440 696616963 499999993 -499999993 499999993 -499999993 -535013568
output:
0
result:
ok 1 number(s): "0"
Test #3:
score: 0
Accepted
time: 13ms
memory: 3564kb
input:
6666 19 -142 -128 26 -172 -74 -188 -86 -199 -157 -200 -172 -199 -186 -195 -200 -175 -197 -161 -188 -144 -177 -127 -162 -107 -144 -90 -126 -87 -116 -86 -104 -89 -97 -108 -86 -125 -80 -142 -74 -162 -72 16 -161 -161 17 -165 -190 -157 -196 -154 -197 -144 -200 -132 -200 -128 -191 -120 -172 -123 -163 -138...
output:
5093 3086 2539 668 3535 7421 4883 5711 5624 1034 2479 3920 4372 2044 4996 5070 2251 4382 4175 1489 1154 3231 4038 1631 5086 14444 1692 6066 687 1512 4849 5456 2757 8341 8557 8235 1013 5203 10853 6042 6300 4480 2303 2728 1739 2187 3385 4266 6322 909 4334 1518 948 5036 1449 2376 3180 4810 1443 1786 47...
result:
ok 6666 numbers
Test #4:
score: -100
Wrong Answer
time: 23ms
memory: 3560kb
input:
6660 19 -689502500 -712344644 121094647 -534017213 -493851833 -578925616 -506634533 -663335128 -540066520 -748890119 -585225068 -847722967 -641694086 -916653030 -716279342 -956235261 -766049951 -1000000000 -836145979 -963288744 -923225928 -948140134 -944751289 -920681768 -972760883 -872492254 -10000...
output:
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
result:
wrong answer 1st numbers differ - expected: '117285633945667137', found: '0'