QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#293235 | #4866. Symmetry: Closure | ucup-team087# | WA | 83ms | 4076kb | C++20 | 15.7kb | 2023-12-29 01:32:22 | 2023-12-29 01:32:24 |
Judging History
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;
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)
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);
}
}
assert(si(clist)>0);
bool dif=false;
rep(i,si(clist)-1){
auto [an,ad]=clist[i];
auto [bn,bd]=clist[i+1];
//overflow
if(an*bd!=ad*bn){
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
Mirrors m;
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);
}
m.init();
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);
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);
}
}
};
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));
}
}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();
}
}
Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 3872kb
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: 3828kb
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 7.81024967590665439429 7.07106781186547524382 7.21110255092797858625 0.00000000000000000000 0.00000000000000000000 0.00000000000000000000 13.00000000000000000000 9.89949493661166534178 2.23606797749978969641
result:
ok 10 numbers
Test #3:
score: -100
Wrong Answer
time: 83ms
memory: 4076kb
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:
wrong answer 350th numbers differ - expected: '0.0000000', found: '1.7590319', error = '1.7590319'