#943091 (C++14) No.2602 Real Collider

• 問題: No.2602 Real Collider
• ユーザー: TairitsuMeow
• 提出日時: 2024-01-12 21:30:34
• 言語: C++14 (gcc 12.3.0 + boost 1.83.0)
• 結果: AC
• 実行時間: 86 ms / 2,000 ms
• コード長: 2,097 bytes
• コンパイル時間: 2,077 ms
• コンパイル使用メモリ: 172,008 KB
• 実行使用メモリ: 6,676 KB
• 最終ジャッジ日時: 2024-01-12 21:30:43
• 合計ジャッジ時間: 8,493 ms
• ジャッジサーバーID （参考情報）: judge13 / judge14

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	3 ms; 6,676 KB
testcase_01	AC	3 ms; 6,676 KB
testcase_02	AC	2 ms; 6,676 KB
testcase_03	AC	2 ms; 6,676 KB
testcase_04	AC	2 ms; 6,676 KB
testcase_05	AC	2 ms; 6,676 KB
testcase_06	AC	2 ms; 6,676 KB
testcase_07	AC	2 ms; 6,676 KB
testcase_08	AC	2 ms; 6,676 KB
testcase_09	AC	3 ms; 6,676 KB
testcase_10	AC	86 ms; 6,676 KB
testcase_11	AC	34 ms; 6,676 KB
testcase_12	AC	44 ms; 6,676 KB
testcase_13	AC	22 ms; 6,676 KB
testcase_14	AC	47 ms; 6,676 KB
testcase_15	AC	25 ms; 6,676 KB
testcase_16	AC	39 ms; 6,676 KB
testcase_17	AC	43 ms; 6,676 KB
testcase_18	AC	31 ms; 6,676 KB
testcase_19	AC	38 ms; 6,676 KB
testcase_20	AC	51 ms; 6,676 KB
testcase_21	AC	29 ms; 6,676 KB
testcase_22	AC	36 ms; 6,676 KB
testcase_23	AC	23 ms; 6,676 KB
testcase_24	AC	34 ms; 6,676 KB
testcase_25	AC	34 ms; 6,676 KB
testcase_26	AC	25 ms; 6,676 KB
testcase_27	AC	40 ms; 6,676 KB
testcase_28	AC	44 ms; 6,676 KB
testcase_29	AC	35 ms; 6,676 KB
testcase_30	AC	38 ms; 6,676 KB
testcase_31	AC	39 ms; 6,676 KB
testcase_32	AC	34 ms; 6,676 KB
testcase_33	AC	39 ms; 6,676 KB
testcase_34	AC	40 ms; 6,676 KB
testcase_35	AC	28 ms; 6,676 KB
testcase_36	AC	26 ms; 6,676 KB
testcase_37	AC	42 ms; 6,676 KB
testcase_38	AC	43 ms; 6,676 KB
testcase_39	AC	42 ms; 6,676 KB
testcase_40	AC	20 ms; 6,676 KB
testcase_41	AC	46 ms; 6,676 KB
testcase_42	AC	38 ms; 6,676 KB
testcase_43	AC	39 ms; 6,676 KB
testcase_44	AC	50 ms; 6,676 KB
testcase_45	AC	30 ms; 6,676 KB
testcase_46	AC	29 ms; 6,676 KB
testcase_47	AC	44 ms; 6,676 KB
testcase_48	AC	33 ms; 6,676 KB
testcase_49	AC	28 ms; 6,676 KB
testcase_50	AC	22 ms; 6,676 KB
testcase_51	AC	23 ms; 6,676 KB
testcase_52	AC	19 ms; 6,676 KB
testcase_53	AC	39 ms; 6,676 KB
testcase_54	AC	31 ms; 6,676 KB
testcase_55	AC	34 ms; 6,676 KB
testcase_56	AC	34 ms; 6,676 KB
testcase_57	AC	32 ms; 6,676 KB
testcase_58	AC	13 ms; 6,676 KB
testcase_59	AC	39 ms; 6,676 KB
testcase_60	AC	36 ms; 6,676 KB
testcase_61	AC	28 ms; 6,676 KB
testcase_62	AC	42 ms; 6,676 KB
testcase_63	AC	46 ms; 6,676 KB
testcase_64	AC	52 ms; 6,676 KB
testcase_65	AC	27 ms; 6,676 KB
testcase_66	AC	43 ms; 6,676 KB
testcase_67	AC	21 ms; 6,676 KB
testcase_68	AC	25 ms; 6,676 KB
testcase_69	AC	18 ms; 6,676 KB
testcase_70	AC	21 ms; 6,676 KB
testcase_71	AC	26 ms; 6,676 KB
testcase_72	AC	39 ms; 6,676 KB
testcase_73	AC	31 ms; 6,676 KB
testcase_74	AC	40 ms; 6,676 KB
testcase_75	AC	42 ms; 6,676 KB
testcase_76	AC	37 ms; 6,676 KB
testcase_77	AC	40 ms; 6,676 KB
testcase_78	AC	49 ms; 6,676 KB
testcase_79	AC	42 ms; 6,676 KB
testcase_80	AC	47 ms; 6,676 KB

ソースコード

// Problem: No.2602 Real Collider
// Contest: yukicoder
// URL: https://yukicoder.me/problems/no/2602
// Memory Limit: 512 MB
// Time Limit: 2000 ms

#include<bits/stdc++.h>
#define debug(x) cerr<<(#x)<<" "<<(x)<<endl
typedef long long ll;
typedef long double ld;
typedef unsigned long long ull;
#define pii pair<ll,ll>
#define rep(i,a,b) for(ll i=(a);i<=(b);++i)
#define per(i,a,b) for(ll i=(a);i>=(b);--i)
using namespace std;
bool Mbe; 
ll read(){
	ll x=0,f=1;char ch=getchar();
	while(ch<'0'||ch>'9'){if(ch=='-')f=-1;ch=getchar();}
	while(ch>='0'&&ch<='9'){x=x*10+ch-'0';ch=getchar();}
	return x*f;
}
void write(ll x){
	if(x<0)putchar('-'),x=-x;
	if(x>9)write(x/10);
	putchar(x%10+'0');
}
const ll N=1e6+9;
const ld eps=1e-9;
ll n,T;
struct Pt{
	ld x,y;
}pts[N];
Pt operator +(Pt a,Pt b){return (Pt){a.x+b.x,a.y+b.y};}
Pt operator -(Pt a,Pt b){return (Pt){a.x-b.x,a.y-b.y};}
Pt operator *(Pt a,ld b){return (Pt){a.x*b,a.y*b};}
Pt operator /(Pt a,ld b){return (Pt){a.x/b,a.y/b};}
ld cross(Pt a,Pt b){return a.x*b.y-a.y*b.x;}
ld dot(Pt a,Pt b){return a.x*b.x+a.y*b.y;}
ld dis(Pt a,Pt b){return sqrt((a.x-b.x)*(a.x-b.x)+(a.y-b.y)*(a.y-b.y));}
Pt mid(Pt a,Pt b){return (Pt){(a.x+b.x)/2,(a.y+b.y)/2};}
Pt rot(Pt a){return (Pt){-a.y,a.x};}
struct Circ{
	Pt o;ld r;
};
Circ calc(Pt t1,Pt t2,Pt t3){
	Pt v1=rot(t2-t1),v2=rot(t1-t3);
	Pt p1=mid(t1,t2),p2=mid(t1,t3);
	Pt u=p1-p2;
	ld t=cross(v2,u)/cross(v1,v2);
	Pt z=p1+v1*t;
	return (Circ){z,dis(z,t1)};
}
mt19937 rnd(time(0));
bool Med;
int main(){
	cerr<<fabs(&Med-&Mbe)/1048576.0<<"MB\n";
	ios::sync_with_stdio(0);
	n=3;cin>>T;
	rep(i,1,n)cin>>pts[i].x>>pts[i].y;
	shuffle(pts+1,pts+n+1,rnd);
	Circ C=(Circ){pts[1],0};
	rep(i,2,n){
		if(dis(pts[i],C.o)>C.r+eps){
			C=(Circ){pts[i],0};
			rep(j,1,i-1){
				if(dis(pts[j],C.o)>C.r+eps){
					C=(Circ){mid(pts[i],pts[j]),dis(pts[i],pts[j])/2};
					rep(k,1,j-1){
						if(dis(pts[k],C.o)>C.r+eps)C=calc(pts[i],pts[j],pts[k]);
					}
				}
			}
		}
	}
	while(T--){
		ld x,y;cin>>x>>y;
		ld d=(x-C.o.x)*(x-C.o.x)+(y-C.o.y)*(y-C.o.y);
		if(d<C.r*C.r+eps)puts("Yes");
		else puts("No");
	}
	return 0;
}