結果

問題 No.2602 Real Collider
ユーザー fastmath
提出日時 2024-01-12 22:08:35
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 42 ms / 2,000 ms
コード長 5,963 bytes
コンパイル時間 1,677 ms
コンパイル使用メモリ 136,748 KB
最終ジャッジ日時 2025-02-18 18:22:02
ジャッジサーバーID
(参考情報)
judge3 / judge2
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 3
other AC * 78
権限があれば一括ダウンロードができます

ソースコード

diff #
プレゼンテーションモードにする

#include <iostream>
#include <cstdio>
#include <cstdlib>
#include <algorithm>
#include <cmath>
#include <vector>
#include <set>
#include <map>
#include <unordered_set>
#include <unordered_map>
#include <queue>
#include <ctime>
#include <cassert>
#include <complex>
#include <string>
#include <cstring>
#include <chrono>
#include <random>
#include <bitset>
#include <fstream>
#include <array>
#include <functional>
#include <stack>
#include <memory>
using namespace std;
#define int long long
#define ii pair <int, int>
#define app push_back
#define all(a) a.begin(), a.end()
#define bp __builtin_popcountll
#define ll long long
#define mp make_pair
#define x first
#define y second
#define Time (double)clock()/CLOCKS_PER_SEC
#define munq(a) sort(all(a)); a.resize(unique(all(a))-a.begin())
#define sz(a) ((int)a.size())
#ifdef LOCAL
#define debug(x) do { cout << #x << ": " << x << endl; } while(0)
#define debug2(x, y) do { std::cerr << #x << ", " << #y << ": " << x << ", " << y << endl; } while (0)
#define debug3(x, y, z) do {std::cerr << #x << ", " << #y << ", " << #z << ": " << x << ", " << y << ", " << z << endl; } while(0)
#else
#define debug(x)
#define debug2(x, y)
#define debug3(x, y, z)
#endif
#define FORI(i,a,b) for (int i = (a); i < (b); ++i)
#define FOR(i,a) FORI(i,0,a)
#define ROFI(i,a,b) for (int i = (b)-1; i >= (a); --i)
#define ROF(i,a) ROFI(i,0,a)
#define rep(a) FOR(_,a)
#define each(a,x) for (auto& a: x)
#define FORN(i, n) FORI(i, 1, n + 1)
#define ld long double
using vi = vector<int>;
template <typename T>
std::istream& operator >>(std::istream& input, std::pair <T, T> & data)
{
input >> data.x >> data.y;
return input;
}
template <typename T>
std::istream& operator >>(std::istream& input, std::vector<T>& data)
{
for (T& x : data)
input >> x;
return input;
}
template <typename T>
std::ostream& operator <<(std::ostream& output, const pair <T, T> & data)
{
output << "(" << data.x << "," << data.y << ")";
return output;
}
template <typename T>
std::ostream& operator <<(std::ostream& output, const std::vector<T>& data)
{
for (const T& x : data)
output << x << " ";
return output;
}
ll div_up(ll a, ll b) { return a/b+((a^b)>0&&a%b); } // divide a by b rounded up
ll div_down(ll a, ll b) { return a/b-((a^b)<0&&a%b); } // divide a by b rounded down
ll math_mod(ll a, ll b) { return a - b * div_down(a, b); }
#define tcT template<class T
#define tcTU tcT, class U
tcT> using V = vector<T>;
tcT> bool ckmin(T& a, const T& b) {
return b < a ? a = b, 1 : 0;
} // set a = min(a,b)
tcT> bool ckmax(T& a, const T& b) {
return a < b ? a = b, 1 : 0;
}
tcT> vector <T> presum(vector <T> &a) {
vector <T> p(a.size() + 1);
FOR (i, a.size()) {
p[i + 1] = p[i] + a[i];
}
return p;
}
tcT> vector <T> sufsum(vector <T> &a) {
vector <T> p(a.size() + 1);
for (int i = (int)a.size() - 1; i >= 0; --i) {
p[i] = p[i + 1] + a[i];
}
return p;
}
ll gcd(ll a, ll b) {
while (b) {
tie(a, b) = mp(b, a % b);
}
return a;
}
int Bit(int mask, int bit) { return (mask >> bit) & 1; }
#define double long double
const int mod=(1LL<<31)-1;
const int cn=233811181;
// intersect two lines
struct point {
int x, y;
point()
{
}
point(int x,int y)
{
this->x=x;this->y=y;
}
friend ll scalar(point p, point q) { return p.x * 1LL * q.x + p.y * 1LL * q.y; }
friend ll cross(point p, point q) { return p.x * 1LL * q.y - p.y * 1LL * q.x; }
friend istream &operator>>(istream &is, point &p) {
is >> p.x >> p.y;
return is;
}
};
template<typename T>
T sqr(T t) { return t * t; }
struct line {
double a, b;
double c;
line(double x, double y, double a, double b) : a(a), b(b), c(-a * x - b * y) {}
};
const double eps = 1e-9;
struct circle {
double x, y, r;
circle(){}
circle(point a, point b) : x((a.x + b.x) / 2.0), y((a.y + b.y) / 2.0), r(sqrt(sqr(x - a.x) + sqr(y - a.y))) {}
circle(point a, point b, point c) {
line l1 = line((a.x + b.x) / 2.0, (a.y + b.y) / 2.0, b.x - a.x, b.y - a.y);
line l2 = line((a.x + c.x) / 2.0, (a.y + c.y) / 2.0, c.x - a.x, c.y - a.y);
x = (l1.c * l2.b - l2.c * l1.b) / (l1.b * l2.a - l2.b * l1.a);
y = (l2.c * l1.a - l1.c * l2.a) / (l1.b * l2.a - l2.b * l1.a);
r = sqrt(sqr(x - a.x) + sqr(y - a.y));
}
friend ostream &operator<<(ostream &os, const circle &c) {
os << c.x << ' ' << c.y << '\n' << c.r << '\n';
return os;
}
bool contains(point p) const {
return sqr(p.x - x) + sqr(p.y - y) <= sqr(r) + eps;
}
};
const int maxn=2005;
circle mem[maxn];
circle minDisk2(const vector<point> &wasps, int j, int i) {
circle ans(wasps[i], wasps[j]);
for (int k = 0; k < j; ++k) {
if (ans.contains(wasps[k])) continue;
ans = circle(wasps[k], wasps[j], wasps[i]);
}
return ans;
}
circle minDisk1(const vector<point> &wasps, int i) {
circle ans(wasps[0], wasps[i]);
for (int j = 1; j < i; ++j) {
if (ans.contains(wasps[j])) continue;
ans = minDisk2(wasps, j, i);
}
return ans;
}
circle minDisk0(const vector<point> &wasps) {
circle ans(wasps[0], wasps[0]);
mem[0]=ans;
for (int i = 1; i < wasps.size(); ++i) {
if (ans.contains(wasps[i])) {mem[i]=ans;continue;}
ans = minDisk1(wasps, i);
mem[i]=ans;
}
return ans;
}
signed main() {
#ifdef LOCAL
#else
#define endl '\n'
ios_base::sync_with_stdio(0); cin.tie(0);
#endif
int n; cin >> n;
point A, B, C;
cin >> A.x >> A.y >> B.x >> B.y >> C.x >> C.y;
V <point> v = {A, B, C};
circle c = minDisk0(v);
//cout << c.x << ' ' << c.y << endl;
rep (n) {
point p;cin >> p.x >> p.y;
if (c.contains(p)) {
cout << "Yes" << endl;
}
else {
cout<<"No" << endl;
}
}
}
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