結果

問題 No.2602 Real Collider
ユーザー 沙耶花沙耶花
提出日時 2024-01-12 23:21:56
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
WA  
実行時間 -
コード長 8,517 bytes
コンパイル時間 4,348 ms
コンパイル使用メモリ 269,280 KB
実行使用メモリ 6,948 KB
最終ジャッジ日時 2024-09-28 00:06:23
合計ジャッジ時間 18,327 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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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 3 ms
5,248 KB
testcase_01 AC 3 ms
5,376 KB
testcase_02 AC 2 ms
5,376 KB
testcase_03 WA -
testcase_04 WA -
testcase_05 WA -
testcase_06 WA -
testcase_07 WA -
testcase_08 WA -
testcase_09 WA -
testcase_10 WA -
testcase_11 WA -
testcase_12 WA -
testcase_13 WA -
testcase_14 WA -
testcase_15 WA -
testcase_16 WA -
testcase_17 WA -
testcase_18 WA -
testcase_19 WA -
testcase_20 WA -
testcase_21 WA -
testcase_22 WA -
testcase_23 WA -
testcase_24 WA -
testcase_25 WA -
testcase_26 WA -
testcase_27 WA -
testcase_28 WA -
testcase_29 WA -
testcase_30 WA -
testcase_31 WA -
testcase_32 WA -
testcase_33 WA -
testcase_34 WA -
testcase_35 WA -
testcase_36 WA -
testcase_37 WA -
testcase_38 WA -
testcase_39 WA -
testcase_40 WA -
testcase_41 WA -
testcase_42 WA -
testcase_43 WA -
testcase_44 WA -
testcase_45 WA -
testcase_46 WA -
testcase_47 WA -
testcase_48 WA -
testcase_49 WA -
testcase_50 WA -
testcase_51 WA -
testcase_52 WA -
testcase_53 WA -
testcase_54 WA -
testcase_55 WA -
testcase_56 WA -
testcase_57 WA -
testcase_58 WA -
testcase_59 WA -
testcase_60 WA -
testcase_61 WA -
testcase_62 WA -
testcase_63 WA -
testcase_64 WA -
testcase_65 WA -
testcase_66 WA -
testcase_67 WA -
testcase_68 WA -
testcase_69 WA -
testcase_70 WA -
testcase_71 WA -
testcase_72 WA -
testcase_73 WA -
testcase_74 WA -
testcase_75 WA -
testcase_76 WA -
testcase_77 WA -
testcase_78 WA -
testcase_79 WA -
testcase_80 WA -
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ソースコード

diff # 

#include <stdio.h>
#include <bits/stdc++.h>
#include <atcoder/all>
using namespace atcoder;
using mint = modint998244353;
using namespace std;
#define rep(i,n) for (int i = 0; i < (n); ++i)
#define Inf32 1000000001
#define Inf64 1000000000000000001
const long double eps = 1e-14;

template <typename T>
struct point{
	T x,y,rad,dir;
	
	point(T a=0.0,T b=0.0){
		x = a;
		y = b;
		fix_rd();
	}
	
	void update_x(T a,T b){
		x = a*x + b;
		fix_rd();
	}
	
	void update_x(T a){
		update_x(0.0,a);
	}
	
	void update_y(T a,T b){
		y = a*y + b;
		fix_rd();
	}
	
	void update_y(T a){
		update_y(0.0,a);
	}
	
	void update_rad(T a,T b){
		rad = a*rad + b;
		fix_xy();
	}
	
	void update_rad(T a){
		update_rad(0.0,a);
	}
	
	void update_dir(T a,T b){
		dir = a*dir + b;
		fix_xy();
	}

	void update_dir(T a){
		update_dir(0.0,a);
	}
	
	void fix_xy(){
		x = rad * cos(dir);
		y = rad * sin(dir);
		fix_rd();
	}
	
	void fix_rd(){
		rad = hypot(x,y);
		if(rad==0.0)dir=0.0;
		else dir = atan2(y,x);
		fix_zero();
	}
	
	void fix_zero(){
		if(abs(x)<eps)x = 0.0;
		if(abs(y)<eps)y = 0.0;
		if(abs(rad)<eps)rad = 0.0;
		if(abs(dir)<eps)dir = 0.0;
	}
	
	void normalize(){
		T s = size();
		update_x(1.0/s,0.0);
		update_y(1.0/s,0.0);
	}
	
	
	T get_dis(point<T> V){
		return hypotl(x-V.x,y-V.y);
	}
	
	T size(){
		return get_dis(point<T>());
	}
	
	T angle_difference(point<T> V){
		long double ret = dir - V.dir;
		if(ret<-acos(-1.0))ret = acos(-1.0)*2.0+ret;
		if(ret>acos(-1.0))ret=-acos(-1.0)*2.0+ret;
		return ret;
	}
	
	//中点
	point get_midpoint(point<T> V){
		V.update_x(0.5,x/2.0);
		V.update_y(0.5,y/2.0);
		return V;
	}
	
	T get_inner_product(point<T> V){
		return x*V.x+y*V.y;
	}
	
	T get_cross_product(point<T> V){
		return x*V.y-y*V.x;
	}
	
	point &operator+=(const point<T> &another){
		update_x(1,another.x);
		update_y(1,another.y);
		return (*this);
	}
	
	point &operator-=(const point<T> &another){
		update_x(1,-another.x);
		update_y(1,-another.y);
		return (*this);
	}
	
	point operator+(const point<T> &another)const{
		return (point(*this)+=another);
	}
	
	point operator-(const point<T> &another)const{
		return (point(*this)-=another);
	}
	
	void show(){
		cout<<x<<','<<y<<endl;
	}
};

//a+tx
template <typename T>
struct line{
	point<T> a,t;
	
	line(){
	}
	
	line(point<T> V1,point<T> V2){
		a=V1;
		t=V2-V1;
	}

	T get_signed_dis(point<T> V){
		point<long double> PA = a-V;
		return PA.get_cross_product(t)/t.size();
	}
	
	T get_dis(point<T> V){
		return abs(get_signed_dis(V));
	}
	
	point<T> get_projection(point<T> P){
		T r = t.get_inner_product(P-a)/t.size();
		point<T> temp = t;
		temp.update_rad(0.0,r);
		return a+temp;
	}	
	
	point<T> get_cross_point(line<T> L){
		point<T> ret(1e20,1e20);
		if(abs(t.get_cross_product(L.t))<eps)return ret;

		T d0 = L.get_signed_dis(a);
		T d1 = L.get_signed_dis(a+t);
		point<T> temp = t;
		temp.x *= d0/(d1-d0);
		temp.y *= d0/(d1-d0);
		ret = a - temp;
		return ret;
	}
	
};

template <typename T>
struct segment{
	point<T> V1,V2;
	segment(point<T> a=point<T>(),point<T> b=point<T>()){
		V1=a;
		V2=b;
	}
	
	T get_dis(point<T> P){
		T ret = 1e20;
		line<T> L(V1,V2);
		point<T> Q = L.get_projection(P);
		if(Q.x+eps>min(V1.x,V2.x)&&Q.y+eps>min(V1.y,V2.y)
		&&Q.x<max(V1.x,V2.x)+eps&&Q.y<max(V1.y,V2.y)+eps)ret = min(ret,Q.get_dis(P));
		else{
			ret = min(ret,P.get_dis(V1));
			ret = min(ret,P.get_dis(V2));
		}
		return ret;
	}
	
	T get_dis(segment<T> l){
		if(get_cross_point(l).x<1e20)return 0.0;
		return min({get_dis(l.V1),get_dis(l.V2),l.get_dis(V1),l.get_dis(V2)});
	}
	
	point<T> get_cross_point(segment<T> l){
		line<T> L1(V1,V2),L2(l.V1,l.V2);
		point<T> P = L1.get_cross_point(L2);
		if(get_dis(P)<eps&&l.get_dis(P)<eps)return P;
		return point<T> (1e20,1e20);
	}
};

template <typename T>
struct triangle{
	point<T> V[3];
	
	triangle(point<T> V1,point<T> V2,point<T> V3){
		V[0] = V1;
		V[1] = V2;
		V[2] = V3;
	}
	
	point<T> get_circumcenter(){
		line<T> L1(V[0],V[1]);
		point<T> M1 = V[0].get_midpoint(V[1]);
		L1 = line<T>(M1,L1.b,L1.a);

		line<T> L2(V[1],V[2]);
		point<T> M2 = V[1].get_midpoint(V[2]);
		L2 = line<T>(M2,L2.b,L2.a);
				
		return L1.get_cross_point(L2);
	}
	
	T get_signed_area(){
		return ((V[1].x-V[0].x)*(V[2].y-V[0].y) - (V[2].x-V[0].x)*(V[1].y-V[0].y))/2.0;
	}
	
	T get_area(){
		return abs(get_signed_area());
	}
	
	bool is_inside(point<T> P){
		T S = triangle<T>(V[0],V[1],P).get_area() + triangle<T>(V[1],V[2],P).get_area() + triangle<T>(V[2],V[0],P).get_area();
		return abs(S - get_area())<eps;
	}
	
	bool is_clockwise(){
		point<T> X = V[1]-V[0],Y = V[2]-V[1];
		return X.x*Y.y-X.y*Y.x < 0.0;
	}
	
};
template <typename T>
struct polygon{
	vector<point<T>> V;
	polygon(vector<point<T>> v){
		V = v;
	}
	
	bool is_convex(){
		bool f = false;
		for(int i=0;i<V.size();i++){
			triangle<T> tri(V[i],V[(i+1)%V.size()],V[(i+2)%V.size()]);
			if(i==0)f = tri.is_clockwise();
			else{
				if(tri.is_clockwise()!=f)return false;
			}
		}
		return true;
	}
	
	T get_signed_area(){
		T ret = 0.0;
		for(int i=1;i<V.size()-1;i++){
			triangle<T> tri(V[0],V[i],V[i+1]);
			ret += tri.get_signed_area();
		}
		return ret;
	}
	
	T get_area(){
		return abs(get_signed_area());
	}
	
	T get_diameter(){
		vector<T> dis(V.size());
		int now = 0;
		for(int i=0;i<V.size();i++){
			while(true){
				int next = (now+1)%V.size();
				if(V[i].get_dis(V[now])<V[i].get_dis(V[next])+eps){
					now = next;
					continue;
				}
				else{
					break;
				}
			}
			dis[i] = V[i].get_dis(V[now]);
		}
		
		T ret = 0.0;
		for(int i=0;i<V.size();i++)ret = max(ret,dis[i]);
		
		return ret;
	}
	
	bool is_on_side(point<T> P){
		for(int i=0;i<V.size();i++){
			segment<T> l(V[i],V[(i+1)%V.size()]);
			if(l.get_dis(P)<eps)return true;
		}
		return false;
	}
	
	bool is_inside(point<T> P){
		if(is_on_side(P))return true;
		long double R = 0.0;
		for(int i=0;i<V.size();i++){
			point<T> p1(V[i]-P),p2(V[(i+1)%V.size()]-P);
			R += p1.angle_difference(p2);
		}
		return abs(R)>=eps;
	}
};


template <typename T>
struct circle{
	point<T> C;
	T R;
	circle(point<T> c=point<T>(),T r=0.0){
		C = c;
		R = r;
	}
	
	vector<point<T>> get_cross_point(circle<T> C2){
		vector<point<T>> ret;

		T d = C.get_dis(C2.C);
		if(d>R+C2.R+eps)return ret;
		if(d+eps<abs(R-C2.R))return ret;
		T cosine = (pow(R,2.0)+pow(d,2.0)-pow(C2.R,2.0))/(2.0*R*d);
		
		T Rc = R*cosine;
		T Rs = sqrt(pow(R,2.0)-pow(Rc,2.0));
		
		point<T> e1 = (C2.C-C);
		e1.update_rad(1.0/d,0.0);
		point<T> e2 = e1;
		e2.update_dir(1.0,acos(-1.0)/2.0);
		e1.update_rad(Rc,0.0);
		e2.update_rad(Rs,0.0);
		ret.push_back(C + e1+e2);
		e2.update_dir(1.0,-acos(-1.0));
		ret.push_back(C+e1+e2);
		return ret;
	}
	
	vector<point<T>> get_cross_point(line<T> L){
		vector<point<T>> ret;
		auto p = L.get_projection(C);
		if(p.get_dis(C)>R+eps)return ret;
		
		long double tr = pow(R,2.0) - pow(p.get_dis(C),2.0);
		tr = sqrt(tr);
		{
			auto pp = L.t;
			pp.update_rad(0.0,tr);
			ret.push_back(p + pp);
		}
		{
			auto pp = L.t;
			pp.update_rad(0.0,-tr);
			ret.push_back(p + pp);
		}
		return ret;
	}
};

int main(){
	
	int q;
	cin>>q;
	
	circle<long double> C;
	{
		vector<point<long double>> t(3);
		rep(i,3){
			long double x,y;
			cin>>x>>y;
			t[i]= point<long double>(x,y);
		}
		long double ok = 4e4,ng = 0;
		rep(_,100){
			long double mid = (ok+ng)/2.0;
			vector<circle<long double>> cs(3);
			rep(i,3){
				cs[i] = circle<long double>(t[i],mid);
			}
			bool f = true;
			vector<point<long double>> ps;
			rep(i,3){
				for(int j=i+1;j<3;j++){
					auto ret = cs[i].get_cross_point(cs[j]);
					rep(k,ret.size()){
						ps.push_back(ret[k]);
					}
				}
			}
			f = false;
			rep(i,ps.size()){
				rep(j,3){
					if(ps[i].get_dis(t[j])<=mid + eps)continue;
					goto L;
				}
				f = true;
				break;
				L:;
			}
			if(f)ok = mid;
			else ng = mid;
		}
		long double mid = ok;
		vector<circle<long double>> cs(3);
		rep(i,3){
			cs[i] = circle<long double>(t[i],mid);
		}
		bool f = true;
		vector<point<long double>> ps;
		rep(i,3){
			for(int j=i+1;j<3;j++){
				auto ret = cs[i].get_cross_point(cs[j]);
				rep(k,ret.size()){
					ps.push_back(ret[k]);
				}
			}
		}
		f = false;
		rep(i,ps.size()){
			rep(j,3){
				if(ps[i].get_dis(t[j])<=mid + eps)continue;
				goto LL;
			}
			C.C = ps[i];
			C.R = mid;
			break;
			LL:;
		}
	}
	//cout<<C.C.x<<' '<<C.C.y<<' '<<C.R<<endl;
	rep(_,q){
		point<long double> t;
		long double x,y;
		cin>>x>>y;
		t = point<long double>(x,y);
		if(t.get_dis(C.C)<=C.R+eps*2.0)cout<<"Yes"<<endl;
		else cout<<"No"<<endl;
	}
		
		
	return 0;
}
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