結果

問題 No.2602 Real Collider
ユーザー akiaa11
提出日時 2025-05-13 17:14:20
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 275 ms / 2,000 ms
コード長 4,405 bytes
コンパイル時間 4,214 ms
コンパイル使用メモリ 258,800 KB
実行使用メモリ 7,844 KB
最終ジャッジ日時 2025-05-13 17:14:39
合計ジャッジ時間 17,179 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge3
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 # 

#include <bits/stdc++.h>
#include <atcoder/all>
#pragma GCC target("avx2")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#define SELECTER(_1,_2,_3,SELECT,...) SELECT
#define rep1(i,n) for(int i=0;i<int(n);++i)
#define rep2(i,a,n) for(int i=int(a);i<int(n);++i)
#define rep(...) SELECTER(__VA_ARGS__,rep2,rep1)(__VA_ARGS__)
#define RSELECTER(_1, _2, _3, RSELECT, ...) RSELECT
#define rrep1(i,n) for(int i=(int)(n)-1;i>=0;--i)
#define rrep2(i,a,n) for(int i=(int)(n)-1;i>=(int)a;--i)
#define rrep(...) RSELECTER(__VA_ARGS__, rrep2, rrep1)(__VA_ARGS__)
#define all(a) a.begin(),a.end()
#define rall(a) a.rbegin(),a.rend()
#define fi first
#define se second
#define PrintR LogOutput
#ifdef _DEBUG
#define Log(...) LogOutput(__VA_ARGS__)
#else
#define Log(...)
#endif
#define M_PI 3.14159265358979323846
using namespace std;
using namespace atcoder;
using ll=long long;
using ld=long double;
using pii=pair<int,int>;
using pll=pair<long long,long long>;
using pdd=pair<long double,long double>;
using tp=tuple<int,int,int>;
using tpll=tuple<ll,ll,ll>;
using veci=vector<int>;
using vecpii=vector<pair<int,int>>;
using vecll=vector<long long>;
using vecpll=vector<pair<long long,long long>>;
using vecpdd=vector<pair<long double,long double>>;
using vecs=vector<string>;
using vecb=vector<bool>;
using vecd=vector<long double>;
using vectp=vector<tp>;
using vectpll=vector<tpll>;
using mint=modint998244353;
using mint10=modint1000000007;
template<typename T, typename S>
istream& operator>>(istream& in, pair<T, S>& a){return in >> a.first >> a.second;}
template<typename T, typename S>
ostream& operator<<(ostream& out, const pair<T, S>& a){return out << a.first << ' ' << a.second;}
ostream& operator<<(ostream& out, const mint& a){return out << a.val();}
ostream& operator<<(ostream& out, const mint10& a){return out << a.val();}
ostream& operator<<(ostream& out, const modint& a){return out << a.val();}
template<typename T>
ostream& operator<<(ostream& out, const vector<T>& d){for(int i = 0 ; i < d.size() ; ++i) out << d[i] << (i == d.size() - 1 ? "" : " "); return out;}
template<typename T, typename S>
pair<T, S> operator+(const pair<T, S>& a, const pair<T, S>& b){return {a.fi + b.fi, a.se + b.se};}
template<typename T, typename S>
pair<T, S> operator-(const pair<T, S>& a, const pair<T, S>& b){return {a.fi - b.fi, a.se - b.se};}
template<class T> inline bool chmax(T& a,T b){if(a<b) {a=b;return true;} return false;}
template<class T> inline bool chmin(T& a,T b){if(a>b) {a=b;return true;} return false;}
bool Judge(int i, int j, int h, int w){return i < 0 || j < 0 || i >= h || j >= w;}
bool PrintA(int i){cout<<(i ? "Yes" : "No")<<endl;return i;}

constexpr ll INF=numeric_limits<ll>::max() >> 2;
constexpr int inf=numeric_limits<int>::max() >> 1;
constexpr ll MOD=998244353;
const int vi[] = {0, 1, 0, -1}, vj[] = {1, 0, -1, 0};

template<typename... Args>
void LogOutput(Args&&... args){
	stringstream ss;
	((ss << args << ' '), ...);
	cout << ss.str().substr(0, ss.str().length() - 1) << endl;
}
template<typename T>
void LogOutput(vector<vector<T>>& data){for(auto d : data) LogOutput(d);}

int main(){
	ios::sync_with_stdio(false);
	std::cin.tie(nullptr);
	int q;cin>>q;
	const int n = 3;
	vecpll a(n);
	rep(i, n) cin>>a[i];
	auto f = [&](pll a, pll b){
		ll x = a.fi - b.fi, y = a.se - b.se;return x * x + y * y;
	};
	{
		ll mx = 0;
		int l, r;
		rep(i, n) rep(j, i + 1, n) if(chmax(mx, f(a[i], a[j])))
				l = i, r = j;
		auto na = a;
		na[0] = a[l], na[1] = a[r];
		rep(i, n) if(i != l && i != r) na[2] = a[i];
		swap(a, na);
	}
	auto f2 = [&](pll a, pll b, pll c){
		ll x = b.fi - a.fi, y = b.se - a.se, x2 = c.fi - a.fi, y2 = c.se - a.se;
		return x * x2 + y * y2;
	};
	auto f3 = [&](pll a, pll b, pll c){
		ll x = b.fi - a.fi, y = b.se - a.se, x2 = c.fi - a.fi, y2 = c.se - a.se;
		return x * y2 - y * x2;
	};
	__int128_t l = f(a[0], a[2]), r = f(a[1], a[2]), c = f2(a[2], a[0], a[1]);
	rep(i, q){
		pll b;cin>>b;
		__int128_t l2 = f(a[0], b), r2 = f(a[1], b), c2 = f2(b, a[0], a[1]);
		int u;
		if(c <= 0){
			if(c2 <= 0) u = 1;
			else u = 0;
		}else{
			if(__int128_t(f3(a[2], a[0], a[1])) * f3(b, a[0], a[1]) < 0){
				if(c2 >= 0) u = 0;
				else if(l * r * c2 * c2 >= l2 * r2 * c * c) u = 1;
				else u = 0;
			}else{
				if(c2 <= 0) u = 1;
				else if(l * r * c2 * c2 <= l2 * r2 * c * c) u = 1;
				else u = 0;
			}
		}
		cout<<(u ? "Yes" : "No")<<endl;
	}
}
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