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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
#293248#4866. Symmetry: Closureucup-team087#AC ✓132ms23156kbC++2016.8kb2023-12-29 02:17:282023-12-29 02:17:28

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你现在查看的是最新测评结果

  • [2023-12-29 02:17:28]
  • 评测
  • 测评结果:AC
  • 用时:132ms
  • 内存:23156kb
  • [2023-12-29 02:17:28]
  • 提交

answer

#ifndef LOCAL
#pragma GCC optimize ("Ofast")
#pragma GCC optimize ("unroll-loops")
#endif

#include <bits/stdc++.h>
using namespace std;

using ll=long long;
#define int ll

#define rng(i,a,b) for(int i=int(a);i<int(b);i++)
#define rep(i,b) rng(i,0,b)
#define gnr(i,a,b) for(int i=int(b)-1;i>=int(a);i--)
#define per(i,b) gnr(i,0,b)
#define pb push_back
#define eb emplace_back
#define a first
#define b second
#define bg begin()
#define ed end()
#define all(x) x.bg,x.ed
#define si(x) int(x.size())
#ifdef LOCAL
#define dmp(x) cerr<<__LINE__<<" "<<#x<<" "<<x<<endl
#else
#define dmp(x) void(0)
#endif

template<class t,class u> bool chmax(t&a,u b){if(a<b){a=b;return true;}else return false;}
template<class t,class u> bool chmin(t&a,u b){if(b<a){a=b;return true;}else return false;}

template<class t> using vc=vector<t>;
template<class t> using vvc=vc<vc<t>>;

using pi=pair<int,int>;
using vi=vc<int>;

template<class t,class u>
ostream& operator<<(ostream& os,const pair<t,u>& p){
	return os<<"{"<<p.a<<","<<p.b<<"}";
}

template<class t> ostream& operator<<(ostream& os,const vc<t>& v){
	os<<"{";
	for(auto e:v)os<<e<<",";
	return os<<"}";
}

#define mp make_pair
#define mt make_tuple
#define one(x) memset(x,-1,sizeof(x))
#define zero(x) memset(x,0,sizeof(x))
#ifdef LOCAL
void dmpr(ostream&os){os<<endl;}
template<class T,class... Args>
void dmpr(ostream&os,const T&t,const Args&... args){
	os<<t<<" ";
	dmpr(os,args...);
}
#define dmp2(...) dmpr(cerr,__LINE__,##__VA_ARGS__)
#else
#define dmp2(...) void(0)
#endif

using uint=unsigned;
using ull=unsigned long long;

template<class t,size_t n>
ostream& operator<<(ostream&os,const array<t,n>&a){
	return os<<vc<t>(all(a));
}

template<int i,class T>
void print_tuple(ostream&,const T&){
}

template<int i,class T,class H,class ...Args>
void print_tuple(ostream&os,const T&t){
	if(i)os<<",";
	os<<get<i>(t);
	print_tuple<i+1,T,Args...>(os,t);
}

template<class ...Args>
ostream& operator<<(ostream&os,const tuple<Args...>&t){
	os<<"{";
	print_tuple<0,tuple<Args...>,Args...>(os,t);
	return os<<"}";
}

ll read(){
	ll i;
	cin>>i;
	return i;
}

vi readvi(int n,int off=0){
	vi v(n);
	rep(i,n)v[i]=read()+off;
	return v;
}

pi readpi(int off=0){
	int a,b;cin>>a>>b;
	return pi(a+off,b+off);
}

template<class t>
void print_single(t x,int suc=1){
	cout<<x;
	if(suc==1)
		cout<<"\n";
	if(suc==2)
		cout<<" ";
}

template<class t,class u>
void print_single(const pair<t,u>&p,int suc=1){
	print_single(p.a,2);
	print_single(p.b,suc);
}

template<class T>
void print_single(const vector<T>&v,int suc=1){
	rep(i,v.size())
		print_single(v[i],i==int(v.size())-1?suc:2);
}

template<class T>
void print_offset(const vector<T>&v,ll off,int suc=1){
	rep(i,v.size())
		print_single(v[i]+off,i==int(v.size())-1?suc:2);
}

template<class T,size_t N>
void print_single(const array<T,N>&v,int suc=1){
	rep(i,N)
		print_single(v[i],i==int(N)-1?suc:2);
}

template<class T>
void print(const T&t){
	print_single(t);
}

template<class T,class ...Args>
void print(const T&t,const Args&...args){
	print_single(t,2);
	print(args...);
}

string readString(){
	string s;
	cin>>s;
	return s;
}

template<class T>
T sq(const T& t){
	return t*t;
}

void YES(bool ex=true){
	cout<<"YES\n";
	if(ex)exit(0);
	#ifdef LOCAL
	cout.flush();
	#endif
}
void NO(bool ex=true){
	cout<<"NO\n";
	if(ex)exit(0);
	#ifdef LOCAL
	cout.flush();
	#endif
}
void Yes(bool ex=true){
	cout<<"Yes\n";
	if(ex)exit(0);
	#ifdef LOCAL
	cout.flush();
	#endif
}
void No(bool ex=true){
	cout<<"No\n";
	if(ex)exit(0);
	#ifdef LOCAL
	cout.flush();
	#endif
}
//#define CAPITAL
/*
void yes(bool ex=true){
	#ifdef CAPITAL
	cout<<"YES"<<"\n";
	#else
	cout<<"Yes"<<"\n";
	#endif
	if(ex)exit(0);
	#ifdef LOCAL
	cout.flush();
	#endif
}
void no(bool ex=true){
	#ifdef CAPITAL
	cout<<"NO"<<"\n";
	#else
	cout<<"No"<<"\n";
	#endif
	if(ex)exit(0);
	#ifdef LOCAL
	cout.flush();
	#endif
}*/
void possible(bool ex=true){
	#ifdef CAPITAL
	cout<<"POSSIBLE"<<"\n";
	#else
	cout<<"Possible"<<"\n";
	#endif
	if(ex)exit(0);
	#ifdef LOCAL
	cout.flush();
	#endif
}
void impossible(bool ex=true){
	#ifdef CAPITAL
	cout<<"IMPOSSIBLE"<<"\n";
	#else
	cout<<"Impossible"<<"\n";
	#endif
	if(ex)exit(0);
	#ifdef LOCAL
	cout.flush();
	#endif
}

constexpr ll ten(int n){
	return n==0?1:ten(n-1)*10;
}

const ll infLL=LLONG_MAX/3;

#ifdef int
const int inf=infLL;
#else
const int inf=INT_MAX/2-100;
#endif

int topbit(signed t){
	return t==0?-1:31-__builtin_clz(t);
}
int topbit(ll t){
	return t==0?-1:63-__builtin_clzll(t);
}
int topbit(ull t){
	return t==0?-1:63-__builtin_clzll(t);
}
int botbit(signed a){
	return a==0?32:__builtin_ctz(a);
}
int botbit(ll a){
	return a==0?64:__builtin_ctzll(a);
}
int botbit(ull a){
	return a==0?64:__builtin_ctzll(a);
}
int popcount(signed t){
	return __builtin_popcount(t);
}
int popcount(ll t){
	return __builtin_popcountll(t);
}
int popcount(ull t){
	return __builtin_popcountll(t);
}
int bitparity(ll t){
	return __builtin_parityll(t);
}
bool ispow2(int i){
	return i&&(i&-i)==i;
}
ll mask(int i){
	return (ll(1)<<i)-1;
}
ull umask(int i){
	return (ull(1)<<i)-1;
}
ll minp2(ll n){
	if(n<=1)return 1;
	else return ll(1)<<(topbit(n-1)+1);
}

bool inc(int a,int b,int c){
	return a<=b&&b<=c;
}

template<class t> void mkuni(vc<t>&v){
	sort(all(v));
	v.erase(unique(all(v)),v.ed);
}

ll rand_int(ll l, ll r) { //[l, r]
	//#ifdef LOCAL
	static mt19937_64 gen;
	/*#else
	static mt19937_64 gen(chrono::steady_clock::now().time_since_epoch().count());
	#endif*/
	return uniform_int_distribution<ll>(l, r)(gen);
}

ll rand_int(ll k){ //[0,k)
	return rand_int(0,k-1);
}

template<class t>
void myshuffle(vc<t>&a){
	rep(i,si(a))swap(a[i],a[rand_int(0,i)]);
}

template<class t,class u>
int lwb(const vc<t>&v,const u&a){
	return lower_bound(all(v),a)-v.bg;
}
template<class t,class u>
bool bis(const vc<t>&v,const u&a){
	return binary_search(all(v),a);
}

vvc<int> readGraph(int n,int m){
	vvc<int> g(n);
	rep(i,m){
		int a,b;
		cin>>a>>b;
		//sc.read(a,b);
		a--;b--;
		g[a].pb(b);
		g[b].pb(a);
	}
	return g;
}

vvc<int> readTree(int n){
	return readGraph(n,n-1);
}

template<class t>
vc<t> presum(const vc<t>&a){
	vc<t> s(si(a)+1);
	rep(i,si(a))s[i+1]=s[i]+a[i];
	return s;
}
vc<ll> presum(const vi&a){
	vc<ll> s(si(a)+1);
	rep(i,si(a))s[i+1]=s[i]+a[i];
	return s;
}
//BIT で数列を管理するときに使う (CF850C)
template<class t>
vc<t> predif(vc<t> a){
	gnr(i,1,si(a))a[i]-=a[i-1];
	return a;
}
template<class t>
vvc<ll> imos(const vvc<t>&a){
	int n=si(a),m=si(a[0]);
	vvc<ll> b(n+1,vc<ll>(m+1));
	rep(i,n)rep(j,m)
		b[i+1][j+1]=b[i+1][j]+b[i][j+1]-b[i][j]+a[i][j];
	return b;
}

//verify してないや
void transvvc(int&n,int&m){
	swap(n,m);
}
template<class t,class... Args>
void transvvc(int&n,int&m,vvc<t>&a,Args&...args){
	assert(si(a)==n);
	vvc<t> b(m,vi(n));
	rep(i,n){
		assert(si(a[i])==m);
		rep(j,m)b[j][i]=a[i][j];
	}
	a.swap(b);
	transvvc(n,m,args...);
}
//CF854E
void rotvvc(int&n,int&m){
	swap(n,m);
}
template<class t,class... Args>
void rotvvc(int&n,int&m,vvc<t>&a,Args&...args){
	assert(si(a)==n);
	vvc<t> b(m,vi(n));
	rep(i,n){
		assert(si(a[i])==m);
		rep(j,m)b[m-1-j][i]=a[i][j];
	}
	a.swap(b);
	rotvvc(n,m,args...);
}

//ソートして i 番目が idx[i]
//CF850C
template<class t>
vi sortidx(const vc<t>&a){
	int n=si(a);
	vi idx(n);iota(all(idx),0);
	sort(all(idx),[&](int i,int j){return a[i]<a[j];});
	return idx;
}
//vs[i]=a[idx[i]]
//例えば sortidx で得た idx を使えば単にソート列になって返ってくる
//CF850C
template<class t>
vc<t> a_idx(const vc<t>&a,const vi&idx){
	int n=si(a);
	assert(si(idx)==n);
	vc<t> vs(n);
	rep(i,n)vs[i]=a[idx[i]];
	return vs;
}
//CF850C
vi invperm(const vi&p){
	int n=si(p);
	vi q(n);
	rep(i,n)q[p[i]]=i;
	return q;
}

template<class t,class s=t>
s SUM(const vc<t>&a){
	return accumulate(all(a),s(0));
}
template<class t,size_t K,class s=t>
s SUM(const array<t,K>&a){
	return accumulate(all(a),s(0));
}

template<class t>
t MAX(const vc<t>&a){
	return *max_element(all(a));
}

template<class t>
pair<t,int> MAXi(const vc<t>&a){
	auto itr=max_element(all(a));
	return mp(*itr,itr-a.bg);
}

template<class A>
auto MIN(const A&a){
	return *min_element(all(a));
}

template<class t>
pair<t,int> MINi(const vc<t>&a){
	auto itr=min_element(all(a));
	return mp(*itr,itr-a.bg);
}

vi vid(int n){
	vi res(n);iota(all(res),0);
	return res;
}

template<class S>
void soin(S&s){
	sort(all(s));
}

template<class S,class F>
void soin(S&s,F&&f){
	sort(all(s),forward<F>(f));
}

template<class S>
S soout(S s){
	soin(s);
	return s;
}

template<class S>
void rein(S&s){
	reverse(all(s));
}

template<class S>
S reout(S s){
	rein(s);
	return s;
}

template<class t,class u>
pair<t,u>&operator+=(pair<t,u>&a,pair<t,u> b){
	a.a+=b.a;a.b+=b.b;return a;}
template<class t,class u>
pair<t,u>&operator-=(pair<t,u>&a,pair<t,u> b){
	a.a-=b.a;a.b-=b.b;return a;}
template<class t,class u>
pair<t,u> operator+(pair<t,u> a,pair<t,u> b){return mp(a.a+b.a,a.b+b.b);}
template<class t,class u>
pair<t,u> operator-(pair<t,u> a,pair<t,u> b){return mp(a.a-b.a,a.b-b.b);}

template<class t>
t gpp(vc<t>&vs){
	assert(si(vs));
	t res=move(vs.back());
	vs.pop_back();
	return res;
}

template<class t,class u>
void pb(vc<t>&a,const vc<u>&b){
	a.insert(a.ed,all(b));
}

template<class t,class...Args>
vc<t> cat(vc<t> a,Args&&...b){
	(pb(a,forward<Args>(b)),...);
	return a;
}

template<class t,class u>
vc<t>& operator+=(vc<t>&a,u x){
	for(auto&v:a)v+=x;
	return a;
}

template<class t,class u>
vc<t> operator+(vc<t> a,u x){
	return a+=x;
}

template<class t>
vc<t> operator+(const vc<t>&a,const vc<t>&b){
	vc<t> c(max(si(a),si(b)));
	rep(i,si(a))c[i]+=a[i];
	rep(i,si(b))c[i]+=b[i];
	return c;
}

template<class t,class u>
vc<t>& operator-=(vc<t>&a,u x){
	for(auto&v:a)v-=x;
	return a;
}

template<class t,class u>
vc<t>& operator-(vc<t> a,u x){
	return a-=x;
}

template<class t,class u>
void remval(vc<t>&a,const u&v){
	a.erase(remove(all(a),v),a.ed);
}

template<class VS,class u>
void fila(VS&vs,const u&a){
	fill(all(vs),a);
}

template<class t,class u>
int findid(const vc<t>&vs,const u&a){
	auto itr=find(all(vs),a);
	if(itr==vs.ed)return -1;
	else return itr-vs.bg;
}

template<class t>
void rtt(vc<t>&vs,int i){
	rotate(vs.bg,vs.bg+i,vs.ed);
}


//デバッグ実行でオーバーフローするとコアダンプしがち

using int128=__int128_t;
using uint128=unsigned __int128_t;

istream& operator>>(istream&is,int128&res){
	res=0;
	string s;is>>s;
	int head=0;
	int128 w=1;
	if(s[0]=='-'){
		w=-1;
		head++;
	}
	while(head<int(s.size())){
		res=res*10+s[head++]-'0';
	}
	res*=w;
	return is;
}
ostream& operator<<(ostream&os,int128 i){
	if(i==0)
		return os<<0;
	static char buf[100];
	if(i<0){
		os<<"-";
		i=-i;
	}
	int p=0;
	while(i){
		buf[p++]='0'+i%10;
		i/=10;
	}
	reverse(buf,buf+p);
	buf[p]=0;
	return os<<buf;
}
ostream& operator<<(ostream&os,uint128 i){
	if(i==0)
		return os<<0;
	static char buf[100];
	int p=0;
	while(i){
		buf[p++]='0'+i%10;
		i/=10;
	}
	reverse(buf,buf+p);
	buf[p]=0;
	return os<<buf;
}
int128 abs(int128 a){
	return a<0?-a:a;
}
int botbit(int128 a){
	const int128 m=(int128(1)<<64)-1;
	if(a&m)return __builtin_ctzll(ll(a));
	else return __builtin_ctzll(ll(a>>64))+64;
}
int128 gcd(int128 a,int128 b){
	if(a<0)a=-a;
	if(b<0)b=-b;
	if(a==0)return b;
	if(b==0)return a;
	int128 s=botbit(a|b);
	a>>=botbit(a);
	do{
		b>>=botbit(b);
		if(a>b)swap(a,b);
		b-=a;
	}while(b);
	return a<<s;
}
const int128 inf128=int128(1)<<122;

int128 fdiv(int128 a,int128 b) { // floored division
	return a / b - ((a ^ b) < 0 && a % b); }
//a,c O(10^36)
//b,d O(10^18)
//a/b, c/d の大小比較
int cmpfrac(int128 a,int128 b,int128 c,int128 d){
	assert(b);
	assert(d);
	if(b<0){
		a=-a;
		b=-b;
	}
	if(d<0){
		c=-c;
		d=-d;
	}
	int128 x=fdiv(a,b),y=fdiv(c,d);
	if(x<y)return -1;
	if(x>y)return 1;
	int128 u=(a-x*b)*d,v=(c-y*d)*b;
	if(u<v)return -1;
	if(u>v)return 1;
	return 0;
}
bool inc(int128 a,int128 b,int128 c){
	return a<=b&&b<=c;
}

bool dbg=false;

using ld=long double;
using P=pair<int128,int128>;
using L=pair<P,P>;
struct Mirrors{
	vc<int128> vs;
	void add(int128 v){
		vs.pb(v);
	}
	int128 g;
	void init(){
		g=0;
		for(auto v:vs){
			g=gcd(g,v-vs[0]);
		}
	}
	void fund(int128&v){
		if(si(vs)){
			v-=vs[0];
			if(g==0){
				if(v<0)v=-v;
			}else{
				v%=(g*2);
				if(v<0)v+=g*2;
				if(v>g)v=g*2-v;
			}
			v+=vs[0];
		}
	}
};

void slv(){
	int n,q;cin>>n>>q;
	vc<L> ls(n);
	vc<L> qs(q);
	rep(i,n){
		cin>>ls[i].a.a>>ls[i].a.b>>ls[i].b.a>>ls[i].b.b;
	}
	rep(i,q){
		cin>>qs[i].a.a>>qs[i].a.b>>qs[i].b.a>>qs[i].b.b;
	}
	
	P org=ls[0].a;
	P Xaxis=ls[0].b-ls[0].a;
	auto modify=[&](P&v){
		v-=org;
		int128 x=v.a*Xaxis.a+v.b*Xaxis.b;
		int128 y=v.a*(-Xaxis.b)+v.b*Xaxis.a;
		v.a=x;
		v.b=y;
	};
	rep(i,n){
		modify(ls[i].a);
		modify(ls[i].b);
	}
	rep(i,q){
		modify(qs[i].a);
		modify(qs[i].b);
	}
	//all 18
	
	bool irr=false;
	rep(i,n){
		P dir=ls[i].b-ls[i].a;
		if(dir.a&&dir.b&&abs(dir.a)!=abs(dir.b)){
			irr=true;
		}
	}
	
	vc<ld> ans(q,-1);
	if(irr){
		dmp("Irrational");
		vc<P> clist;//(36,18)
		bool dif=false;
		rep(i,n){
			auto [a,b]=ls[i];
			if(a.b!=b.b){
				int128 num=a.a*b.b-b.a*a.b;
				int128 den=b.b-a.b;
				clist.eb(num,den);
			}else if(a.b!=0){
				dif=true;
			}
		}
		assert(si(clist)>0);
		rep(i,si(clist)-1){
			auto [an,ad]=clist[i];
			auto [bn,bd]=clist[i+1];
			if(cmpfrac(an,ad,bn,bd)){
				dif=true;
			}
		}
		if(dif){
			dmp("Dif");
			rep(i,q){
				ans[i]=0;
			}
		}else{
			dmp("Center");
			ld c=ld(clist[0].a)/clist[0].b;
			auto dist=[&](P v){
				return sqrtl(sq(v.a-c)+sq(v.b));
			};
			rep(i,q){
				auto [a,b]=qs[i];
				ld ad=dist(a);
				ld bd=dist(b);
				ans[i]=abs(ad-bd);
			}
		}
	}else{
		dmp("Rational");
		bool has45=false;
		rep(i,n){
			P dir=ls[i].b-ls[i].a;
			if(dir.a&&dir.b){
				has45=true;
			}
		}
		if(has45){
			dmp("Has 45");
			
			{
				int128 c;
				rep(i,n){
					P dir=ls[i].b-ls[i].a;
					if(dir.a&&dir.b){
						dir.a/=dir.b;
						dir.b=1;
						int128 v=ls[i].a.a-ls[i].a.b*dir.a;
						c=v;
					}
				}
				rep(i,n){
					auto&[a,b]=ls[i];
					a.a-=c;
					b.a-=c;
				}
				rep(i,q){
					auto&[a,b]=qs[i];
					a.a-=c;
					b.a-=c;
				}
			}
			//0 is the center
			
			dmp(ls);
			
			rep(phase,2){
				Mirrors m;
				m.add(0);
				rep(i,n){
					P dir=ls[i].b-ls[i].a;
					if(dir.a&&dir.b){
						dir.a/=dir.b;
						dir.b=1;
						int128 v=ls[i].a.a-ls[i].a.b*dir.a;
						m.add(v);
					}else if(dir.a==0){
						m.add(ls[i].a.a);
					}else if(dir.b==0){
						m.add(ls[i].a.b);
					}else assert(false);
				}
				dmp(m.vs);
				m.init();
				assert(m.vs[0]==0);
				
				if(m.g==0){
					dmp("45 Centered");
				}else{
					dmp("45 Checkered");
				}
					
				auto work=[&](P&v){
					if(m.g==0){
						if(v.a<0)v.a*=-1;
						if(v.b<0)v.b*=-1;
						if(v.a<v.b)swap(v.a,v.b);
					}else{
						auto&[a,b]=v;
						m.fund(a);
						m.fund(b);
						
						dmp2(m.g,a,b);
						
						//if(!inc(0,a,m.g))exit(0);
						//if(!inc(0,b,m.g))exit(0);
						assert(inc(0,a,m.g));
						assert(inc(0,b,m.g));
						if(a+b>=m.g){
							tie(a,b)=mp(m.g-b,m.g-a);
						}
						if(a<b){
							swap(a,b);
						}
					}
				};
				
				const ld wei=phase==0?1:1/sqrtl(2);
				rep(i,q){
					auto [a,b]=qs[i];
					work(a);
					work(b);
					
					P dif=a-b;
					chmax(ans[i],sqrtl(sq(dif.a)+sq(dif.b))*wei);
				}
				
				auto rot=[&](P&v){
					int128 x=v.a+v.b;
					int128 y=-v.a+v.b;
					v.a=x;
					v.b=y;
				};
				for(auto&[a,b]:ls){
					rot(a);
					rot(b);
				}
				for(auto&[a,b]:qs){
					rot(a);
					rot(b);
				}
			}
		}else{
			dmp("No 45");
			
			Mirrors vert,hori;
			
			rep(i,n){
				P dir=ls[i].b-ls[i].a;
				if(dir.a==0){
					vert.add(ls[i].a.a);
				}else if(dir.b==0){
					hori.add(ls[i].a.b);
				}else assert(false);
			}
			vert.init();
			hori.init();
			
			auto work=[&](P&v){
				vert.fund(v.a);
				hori.fund(v.b);
			};
			
			rep(i,q){
				auto [a,b]=qs[i];
				work(a);
				work(b);
				P dif=a-b;
				ans[i]=sqrtl(sq(dif.a)+sq(dif.b));
			}
		}
	}
	ld D=sqrtl(sq(Xaxis.a)+sq(Xaxis.b));
	rep(i,q){
		print(ans[i]/D);
	}
}

signed main(){
	cin.tie(0);
	ios::sync_with_stdio(0);
	cout<<fixed<<setprecision(20);
	
	if(dbg){
		while(1)slv();
	}else{
		int t;cin>>t;rep(_,t)
		slv();
	}
}

详细

Test #1:

score: 100
Accepted
time: 1ms
memory: 4064kb

input:

4
1 1
0 0 1 0
-1 -2 2 1
2 1
0 0 1 0
0 0 0 1
-1 -2 2 1
3 1
0 0 1 0
0 0 0 1
0 0 1 1
-1 -2 2 1
3 1
0 0 1 0
0 0 0 1
0 0 1 2
-1 -2 2 1

output:

3.16227766016837933197
1.41421356237309504876
0.00000000000000000000
0.00000000000000000000

result:

ok 4 numbers

Test #2:

score: 0
Accepted
time: 0ms
memory: 3768kb

input:

5
1 1
-8 1 -8 10
-7 -5 -4 -6
2 2
-1 -10 -1 -8
10 9 9 10
2 10 -10 5
-4 4 -3 -3
3 1
-5 -10 -5 6
6 10 8 8
7 -2 4 -5
0 -9 -6 -3
3 3
9 8 10 7
1 5 -9 5
4 -2 -3 -9
6 6 -6 -8
2 -7 10 -3
3 -8 8 -9
1 3
10 -9 10 -7
-2 -7 -2 6
-2 9 -9 2
-6 -7 -7 -9

output:

3.16227766016837933197
7.81024967590665439472
7.07106781186547524425
7.21110255092797858625
0.00000000000000000000
0.00000000000000000000
0.00000000000000000000
13.00000000000000000000
9.89949493661166534178
2.23606797749978969641

result:

ok 10 numbers

Test #3:

score: 0
Accepted
time: 81ms
memory: 3844kb

input:

50000
1 2
0 0 1 0
-8 8 7 -8
-1 -2 8 -9
2 2
0 0 1 0
5 8 2 7
7 -8 -5 7
-3 5 -6 -1
1 2
0 0 1 0
-7 -10 -9 4
-10 -10 -9 -5
2 1
0 0 1 0
-9 4 -4 -5
-5 4 2 -1
1 1
0 0 1 0
10 -5 1 3
4 2
0 0 1 0
8 -1 -3 9
-4 8 5 4
-9 -4 2 -5
2 6 5 -4
1 -8 -5 10
2 1
0 0 1 0
1 7 10 9
-3 0 10 7
3 2
0 0 1 0
1 10 6 -1
5 6 5 2
7 5 ...

output:

15.00000000000000000000
11.40175425099137979101
11.55046517497235881566
3.72464980383491269921
6.32455532033675866393
5.09901951359278482988
4.45728603559471770216
9.21954445729288731004
0.00000000000000000000
0.00000000000000000000
13.60048661512415718935
0.00000000000000000000
0.000000000000000000...

result:

ok 100000 numbers

Test #4:

score: 0
Accepted
time: 50ms
memory: 21716kb

input:

1
100000 100000
-9 9 -6 -9
6 2 7 4
-9 5 8 1
-2 -2 -4 -5
2 -3 -9 10
-3 6 6 0
5 10 -4 -9
0 -6 -4 10
5 -10 4 -10
-6 8 10 -9
4 6 -4 7
9 1 -7 -4
4 3 -10 -8
0 10 -5 3
-7 -4 -1 4
9 -7 2 -9
1 -9 -1 0
-9 -9 -5 -3
-6 -4 -1 -4
0 -5 -4 -3
3 -2 8 1
10 -1 -1 6
1 -2 -10 -10
6 2 -6 0
2 7 -2 4
2 3 -9 0
-2 -5 3 4
-3 ...

output:

0.00000000000000000000
0.00000000000000000000
0.00000000000000000000
0.00000000000000000000
0.00000000000000000000
0.00000000000000000000
0.00000000000000000000
0.00000000000000000000
0.00000000000000000000
0.00000000000000000000
0.00000000000000000000
0.00000000000000000000
0.00000000000000000000
0...

result:

ok 100000 numbers

Test #5:

score: 0
Accepted
time: 67ms
memory: 23156kb

input:

1
100000 100000
-107924226 984128779 -147600592 858581375
935061792 -2971048 -841200666 -746258291
-360848175 859823566 583989438 -20447301
-56948500 158063925 276991457 -629674216
-658151397 959677900 568671306 -511158196
403975817 755816976 -429247023 -776141225
55688835 598599852 587796942 776132...

output:

0.00000000000000000000
0.00000000000000000000
0.00000000000000000000
0.00000000000000000000
0.00000000000000000000
0.00000000000000000000
0.00000000000000000000
0.00000000000000000000
0.00000000000000000000
0.00000000000000000000
0.00000000000000000000
0.00000000000000000000
0.00000000000000000000
0...

result:

ok 100000 numbers

Test #6:

score: 0
Accepted
time: 95ms
memory: 3960kb

input:

100000
1 1
1 -7 1 -6
-5 10 -10 -1
1 1
-6 2 -5 3
0 1 -10 -4
1 1
6 0 -9 -5
1 10 8 2
1 1
-2 -1 0 9
1 6 -5 10
1 1
6 -9 1 9
0 7 1 -7
1 1
-6 10 -5 -8
-7 3 9 3
1 1
-6 8 9 8
7 -7 10 -10
1 1
9 -4 6 -1
1 10 -10 -3
1 1
2 4 -2 9
10 4 10 -7
1 1
5 2 0 4
-8 -1 -5 2
1 1
-2 10 9 1
-10 1 -3 -7
1 1
4 -5 -8 -4
1 -5 4 -...

output:

12.08304597359457206816
11.18033988749894848229
10.63014581273464940776
4.47213595499957939283
14.03566884761819962956
13.23166365491970465022
4.24264068711928514673
8.60232526704262677204
10.26597505853384705108
4.24264068711928514673
10.63014581273464940776
3.87565344879704302365
9.421742448678522...

result:

ok 100000 numbers

Test #7:

score: 0
Accepted
time: 128ms
memory: 3832kb

input:

100000
1 1
-887559625 -1847314 -590134585 -238034717
-949679287 -31966108 -88314979 -854898523
1 1
-592792982 322266912 496075708 303506916
-350162382 -950881882 -34887657 -299540513
1 1
957425070 -305571191 -936829996 527248004
-951311600 -425264497 -504755835 278051738
1 1
-587284479 -578741148 99...

output:

1191287635.60865143779665231705
723632317.68255056696943938732
833106102.28788412705762311816
572346750.49418757925741374493
1465268881.08868669671937823296
1725179485.86578070395626127720
1145759355.30233510071411728859
306825921.51243754930328577757
1399830266.40248392231296747923
885187101.276847...

result:

ok 100000 numbers

Test #8:

score: 0
Accepted
time: 70ms
memory: 3848kb

input:

10000
3 5
-3 -8 -7 5
-7 -2 -9 8
8 -1 -6 7
9 3 -6 -9
3 -2 7 -10
-7 -3 -6 4
1 5 4 6
1 3 10 9
1 19
0 -9 4 -4
-1 9 -9 6
-9 -6 -10 -4
-7 4 -8 1
2 -3 5 3
-4 -4 -3 1
7 9 -10 -4
0 0 2 -5
6 9 6 10
-2 8 5 6
-9 1 4 -5
-5 -9 -2 4
7 -10 -6 5
-8 -4 0 6
0 -2 4 7
-10 0 10 2
7 7 6 -6
10 -2 7 -3
-5 2 7 3
-9 10 3 -7
1...

output:

0.00000000000000000000
0.00000000000000000000
0.00000000000000000000
0.00000000000000000000
0.00000000000000000000
8.54400374531753116752
2.23606797749978969641
3.16227766016837933197
6.70820393249936908903
5.09901951359278482988
21.40093455903269659829
5.38516480713450403127
0.99999999999999999995
...

result:

ok 100000 numbers

Test #9:

score: 0
Accepted
time: 82ms
memory: 3888kb

input:

10000
8 3
-217399411 584147457 551810695 -798393646
-24976801 -105573386 -835929499 893574512
-910958692 498563022 890810619 257352083
194668556 -493444479 780379386 851967162
-556438409 769799129 781761729 -539350223
867690289 613441674 -266909967 668871147
719415093 -146012384 694318654 -605179490...

output:

0.00000000000000000000
0.00000000000000000000
0.00000000000000000000
172956047.29612196680682245642
778411792.81481272861128672957
185593341.61197250260738655925
828345589.18733970506582409143
135399097.15266192948911339045
228989921.83731453206564765424
50281056.97493121389561565593
474258107.46979...

result:

ok 100000 numbers

Test #10:

score: 0
Accepted
time: 88ms
memory: 4080kb

input:

50000
1 2
-8 8 7 -8
-1 -2 8 -9
5 8 2 7
2 2
7 -8 -5 7
-3 5 -6 -1
-7 -10 -9 4
-10 -10 -9 -5
1 2
-9 4 -4 -5
-5 4 2 -1
10 -5 1 3
2 1
8 -1 -3 9
-4 8 5 4
-9 -4 2 -5
1 1
2 6 5 -4
1 -8 -5 10
4 2
1 7 10 9
-3 0 10 7
1 10 6 -1
5 6 5 2
7 5 3 -7
7 -6 -4 7
2 1
5 6 8 -7
-7 0 -4 -8
6 -9 4 -2
3 2
-4 6 -10 0
-3 -10 6...

output:

11.38788793780443222257
3.16227766016837933175
9.30038662664646596963
4.89012576755845258542
8.60232526704262677117
12.04159457879229548020
2.32280790640466298881
18.97366596101027599180
0.00000000000000000000
0.00000000000000000000
7.27820840099115792636
0.00000000000000000000
0.0000000000000000000...

result:

ok 100000 numbers

Test #11:

score: 0
Accepted
time: 115ms
memory: 3844kb

input:

50000
1 1
-99822182 471344044 106108756 -643083980
603898960 -915734037 577120158 -847742830
2 2
154847051 -694367850 305574283 573709628
-621754628 582257799 -738161672 -721646829
324136441 -819540335 -689996648 263358077
147677068 -968316867 -670926738 394286545
1 1
-742121721 -530862527 886939485...

output:

73074677.32307856724946759641
969612294.74284356524003669620
1270816685.54274983576033264399
670299835.92126916541019454598
896199071.21649059356423094869
434799081.53525890814489684999
903438960.93832178553566336632
1016818810.75486247305525466800
814081332.58226301684044301510
1242647223.135180838...

result:

ok 100000 numbers

Test #12:

score: 0
Accepted
time: 93ms
memory: 3832kb

input:

33333
3 3
-1419476 -1854781 580523 145219
-1419476 -1854780 580524 -1854780
-1419476 145219 -1419475 -1854781
117465 746786 91499 -524195
33544 102858 329779 -554609
869607 -50968 256407 593149
3 3
-160543 -1518984 1839457 -1518984
-160543 481015 -160542 -1518985
-160543 -1518985 1839456 481015
9877...

output:

1008313.33467503997059111498
258426.02599506190217937274
52253.29359215258578785779
1474345.87468866305982828635
746540.32040575739540599898
30426.79672281690061197423
607196.56562549760127467380
727366.93866641787207072412
747428.11371502656180609847
0.00000000000000000000
0.00000000000000000000
0....

result:

ok 99999 numbers

Test #13:

score: 0
Accepted
time: 99ms
memory: 3840kb

input:

33333
3 3
-17367532 -6395796 2632467 13604204
-17367532 -6395795 2632468 -6395795
-17367532 13604204 -17367531 -6395796
1689875 2745960 410472 8998970
9148463 -7876682 -3452503 -5455967
7387347 -6380763 7154164 6298661
3 3
-10014859 12124263 -10014858 -7875737
-10014859 -7875736 9985141 -7875736
-10...

output:

2380533.54011765795462451933
12610584.58540403099596005632
2857845.27681029096970632963
0.00000000000000000000
0.00000000000000000000
0.00000000000000000000
13490327.04328574591181677533
2280664.11862567452999428497
1793438.68138615980069516809
2550033.31118298884734940657
6243833.260252303117340488...

result:

ok 99999 numbers

Test #14:

score: 0
Accepted
time: 99ms
memory: 3840kb

input:

33333
3 3
-56116485 -8979960 143883513 191020039
-56116485 -8979959 143883515 -8979959
-56116485 191020040 -56116484 -8979960
-3317486 -233240 -74527113 53414572
-3940839 40169681 -31192315 81293757
58651509 1423042 -6679494 93662141
3 3
-69622130 -35655393 130377869 164344605
-69622129 -35655393 -6...

output:

0.00000000000000000000
0.00000000000000000000
0.00000000000000000000
0.00000000000000000000
0.00000000000000000000
0.00000000000000000000
0.00000000000000000000
0.00000000000000000000
0.00000000000000000000
0.00000000000000000000
0.00000000000000000000
0.00000000000000000000
0.00000000000000000000
0...

result:

ok 99999 numbers

Test #15:

score: 0
Accepted
time: 103ms
memory: 3924kb

input:

33333
3 3
-452553593 792331038 -452553592 -207668962
-452553593 -207668961 547446407 -207668961
-452553593 -207668962 547446405 792331037
220560684 76056927 -97159744 -260411844
-415738925 -197632802 -191804028 191543121
100759453 -445428575 -145443915 474374904
3 3
-286460116 -838995703 713539883 1...

output:

0.00000000000000000000
0.00000000000000000000
0.00000000000000000000
860171005.28393774980213493109
186946880.62115261296276003122
492442861.94078288457239978015
116190567.74855204462801339105
547958451.86688516702270135283
190828156.39309014483296778053
0.00000000000000000000
0.00000000000000000000...

result:

ok 99999 numbers

Test #16:

score: 0
Accepted
time: 77ms
memory: 4072kb

input:

30000
3 3
-1 3 3 0
10 -6 5 7
-4 3 0 -3
-10 -10 9 -3
-4 -2 6 10
4 7 -2 -6
3 4
0 9 -9 1
2 -9 9 5
-10 9 5 -6
-10 4 -9 6
4 9 6 -10
10 4 6 10
1 9 7 9
2 1
-3 2 -2 -4
-6 3 9 6
1 6 4 -2
4 4
6 -4 -7 -2
1 9 3 -3
-1 10 -5 -9
9 4 7 -7
10 9 -9 6
4 6 7 -8
-5 10 -10 -9
5 -6 8 -8
1 2
-3 0 4 4
9 -8 -3 4
3 -3 8 2
1 1...

output:

0.00000000000000000000
0.00000000000000000000
0.00000000000000000000
0.00000000000000000000
0.00000000000000000000
0.00000000000000000000
0.00000000000000000000
4.22246685998352642944
0.00000000000000000000
0.00000000000000000000
0.00000000000000000000
0.00000000000000000000
10.43072384832423794235
...

result:

ok 100000 numbers

Test #17:

score: 0
Accepted
time: 104ms
memory: 3960kb

input:

33333
3 3
-1000000000 -999999999 1000000000 -999999999
-1000000000 1000000000 -999999999 -1000000000
-1000000000 -1000000000 999999998 999999999
887594927 -208243368 -486753197 303481012
805661624 340562956 -333755487 395122659
-174568088 -54315713 -370485671 98586545
3 3
-1000000000 -1000000000 999...

output:

0.00000000000000000000
0.00000000000000000000
0.00000000000000000000
1218286019.11620910337660461664
610691120.62083382945274934173
460644769.28376594756264239550
480006819.44302667237934656441
846237254.34831267344998195767
379460894.42510437537566758692
767189262.13647018698975443840
1137338751.57...

result:

ok 99999 numbers

Test #18:

score: 0
Accepted
time: 107ms
memory: 3880kb

input:

30000
5 3
353885690 197069208 -242960342 120496888
-322351866 148228225 -257317652 232405519
143442455 359654743 269708396 262103422
350083203 -68836701 345297433 -31533824
18159797 153997278 -144425738 -56445957
0 -9 7 -10
1 3 -9 -1
-7 0 -6 -2
1 3
242304788 517648210 727045787 221483311
-7 -7 -3 -1...

output:

4.90129628491655454066
6.32455532033675866437
0.80762425960303869628
7.21110255092797858582
16.49242250247064219860
15.81138830084189665984
4.86487436629500015874
6.40312423743284868773
14.00000000000000000087
8.24621125123532109930
2.23606797749978969641
5.09901951359278483031
6.7082039324993690894...

result:

ok 100000 numbers

Test #19:

score: 0
Accepted
time: 98ms
memory: 3948kb

input:

30000
6 3
-7 9 -7 5
-8 2 -2 8
3 -4 -6 5
1 2 3 2
8 10 -10 10
1 -10 9 -2
10 2 3 0
-2 -6 3 0
3 -4 -4 8
5 3
-9 8 -10 7
-6 -4 -6 10
10 -2 10 -8
-7 -1 -10 -4
-6 10 -9 10
-9 -7 8 -4
-10 -8 7 -2
3 2 10 4
1 5
-3 6 2 1
-9 -7 7 -7
7 -9 -8 7
1 6 10 -5
3 8 -2 -4
-8 10 -4 -8
6 10
-2 -7 -3 -7
-8 -3 -8 10
-2 4 4 -2...

output:

1.00000000000000000000
1.00000000000000000000
1.00000000000000000000
0.00000000000000000000
1.00000000000000000011
1.00000000000000000011
16.00000000000000000000
21.93171219946130881713
14.21267040355189549723
5.00000000000000000000
18.43908891458577462008
1.00000000000000000000
0.000000000000000000...

result:

ok 100000 numbers

Test #20:

score: 0
Accepted
time: 126ms
memory: 3900kb

input:

30000
3 3
-20794806 189849870 363596283 455546160
130324086 -545280300 315083367 466640001
109067121 -235484919 66651300 -227740518
398 15 -628 -681
-90 -75 -156 513
-361 699 -50 795
2 4
226411510 288221850 177659350 312847770
-386863498 196689126 -389120874 192220178
-661 672 280 465
2 -664 634 75
...

output:

1239.79514436861705284354
591.69248769948059907264
325.47964606100947401734
963.49883238123335060799
972.39138210907648923742
1257.60168574950630115961
892.23147220886576397314
1604.24592877775444899058
450.94123785699617470990
604.59904068729715442831
1436.09609706314570143348
849.22376320967373170...

result:

ok 100000 numbers

Test #21:

score: 0
Accepted
time: 132ms
memory: 3876kb

input:

30000
1 4
-525246791 -883474104 -525246791 646168143
-187268297 -387510411 -383487273 49834076
-655388694 -562681528 158706091 500673162
746337338 633498857 896018088 373944621
-737556745 -982416224 170868932 346909157
2 5
973956169 -999941810 977927615 -995970364
996120887 -112441515 237851477 -870...

output:

479345477.55432276008650660515
1198928603.88178850931581109762
299620974.47626425474300049245
1414628569.86859858979005366564
734930328.69841580931097269058
85369827.04051733054802753031
250047486.00186079456761945039
1074353058.75943266204558312893
1177389050.60207019292283803225
869249542.37720563...

result:

ok 100000 numbers

Test #22:

score: 0
Accepted
time: 92ms
memory: 3892kb

input:

10000
7 9
-473826191 144170910 -418363313 -305005113
-306221335 -392496923 -437459050 -560709890
62841642 311775766 112141978 -87491810
-436242828 250150346 -393105034 -99208783
-55462878 449176023 49300336 -399267576
-361076102 462109218 -192863135 330871503
-554547348 387550603 -510801443 44362159...

output:

1.49999935454088300789
3.60555127546398929334
5.09901951359278483031
3.64615195469780681032
4.19071601208176649144
6.85069711340536173245
4.12310562561766055008
2.23606797749978969663
1.69184751354418544682
2.82842712474619009774
9.43398113205660381227
2.00000000000000000022
0.00000000000000000000
4...

result:

ok 100000 numbers

Test #23:

score: 0
Accepted
time: 130ms
memory: 3916kb

input:

10000
18 15
-116941462 -659626222 188705458 -655284242
116629725 -671962929 -7260763 -673722901
65558200 632379772 3870596 631503446
374640117 375269009 386134103 -433832235
418564356 358898204 421047666 184089464
-321578999 -255710631 -476738395 -257914805
-745038949 -9986939 -743745261 -101054091
...

output:

2020.89930476508403422997
1195.29546437984137763344
339.67337252130906471992
432.01851812161941171486
3196.21286944490430848020
2127.39181981793236775324
1428.95529264481334852377
970.37895764523542513347
595.17790033654117126671
1111.68022880987035361233
5163.84672506843487216344
811.61431516315302...

result:

ok 100000 numbers

Test #24:

score: 0
Accepted
time: 122ms
memory: 5456kb

input:

20
7703 2533
-164723340 -303276276 -386292740 -181990396
-9409094 -109808550 -28940246 -115521318
31704454 19512286 223189666 369324346
-308586828 278001248 -306067576 282603508
193676168 276523072 -414071920 98759680
-570102550 -114291926 -545969206 -196800442
380731934 -108352382 101557714 4446606...

output:

901.56142330958238495509
1389.87179027110847429061
2690.03195706172560375258
125.68611697399200024389
953.53335454734485576722
2464.65816070527856318506
93.04837451562493576968
1591.85108576365021393340
1602.41130799804330386849
255.15485494107299074829
69.86439412960825573462
797.054438816823246027...

result:

ok 100000 numbers

Test #25:

score: 0
Accepted
time: 118ms
memory: 20828kb

input:

1
100000 100000
367483645 45610455 277315953 232369853
178120550 -573643848 257820996 -535164364
-307442539 304714155 -421904229 249451895
418446447 288076813 -135149343 481170099
108234139 129225343 -92981561 545992393
398594297 82086591 404726203 99666681
-260509298 -143823916 -433348283 -83537967...

output:

2636.28623838476749341453
2650.38614778654755332887
1005.10944677681743503195
473.77737387933586291067
2118.49055757880981554209
2594.77176806295271971337
273.27483095729263959384
194.28072472584613046565
2260.52675551632550909886
327.15286946624814837237
1095.62402310281605122277
2286.3309034345837...

result:

ok 100000 numbers