#1003829 (C++23) No.2012 Largest Triangle

提出ソース

結果

問題	No.2012 Largest Triangle
ユーザー	eQe
提出日時	2024-08-25 03:16:35
言語	C++23 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	405 ms / 2,500 ms
コード長	9,871 bytes
コンパイル時間	6,011 ms
コンパイル使用メモリ	336,756 KB
実行使用メモリ	15,080 KB
最終ジャッジ日時	2024-08-25 03:16:50
合計ジャッジ時間	14,082 ms
ジャッジサーバーID （参考情報）	judge4 / 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	1 ms 6,816 KB
testcase_01	AC	2 ms 6,944 KB
testcase_02	AC	2 ms 6,940 KB
testcase_03	AC	2 ms 6,940 KB
testcase_04	AC	2 ms 6,940 KB
testcase_05	AC	2 ms 6,944 KB
testcase_06	AC	2 ms 6,944 KB
testcase_07	AC	2 ms 6,944 KB
testcase_08	AC	2 ms 6,944 KB
testcase_09	AC	2 ms 6,940 KB
testcase_10	AC	2 ms 6,944 KB
testcase_11	AC	2 ms 6,944 KB
testcase_12	AC	2 ms 6,940 KB
testcase_13	AC	2 ms 6,940 KB
testcase_14	AC	2 ms 6,944 KB
testcase_15	AC	2 ms 6,944 KB
testcase_16	AC	244 ms 14,432 KB
testcase_17	AC	251 ms 14,460 KB
testcase_18	AC	247 ms 14,428 KB
testcase_19	AC	241 ms 14,420 KB
testcase_20	AC	240 ms 14,432 KB
testcase_21	AC	246 ms 14,432 KB
testcase_22	AC	244 ms 14,464 KB
testcase_23	AC	241 ms 14,428 KB
testcase_24	AC	242 ms 14,560 KB
testcase_25	AC	244 ms 14,404 KB
testcase_26	AC	374 ms 14,484 KB
testcase_27	AC	387 ms 14,432 KB
testcase_28	AC	386 ms 14,432 KB
testcase_29	AC	385 ms 14,432 KB
testcase_30	AC	405 ms 14,456 KB
testcase_31	AC	276 ms 14,500 KB
testcase_32	AC	282 ms 14,416 KB
testcase_33	AC	282 ms 14,556 KB
testcase_34	AC	280 ms 14,552 KB
testcase_35	AC	281 ms 14,452 KB
testcase_36	AC	3 ms 6,944 KB
testcase_37	AC	4 ms 6,940 KB
testcase_38	AC	4 ms 6,940 KB
testcase_39	AC	3 ms 6,940 KB
testcase_40	AC	3 ms 6,944 KB
testcase_41	AC	145 ms 15,080 KB

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ソースコード

raw source code

#include<bits/stdc++.h>
#include<atcoder/all>
namespace my{
using namespace atcoder;
using ml=modint998244353;
auto&operator<<(std::ostream&o,const ml&x){return o<<x.val();}
auto&operator>>(std::istream&i,ml&x){long long t;i>>t;x=t;return i;}
void main();
}
int main(){my::main();}
namespace my{
#define eb emplace_back
#define all(a) (a).begin(),(a).end()
#define RD(T,...) T __VA_ARGS__;li(__VA_ARGS__)
#define LL(...) RD(ll,__VA_ARGS__)
#define JO(a,b) a##b
#define jo(a,b) JO(a,b)
#define usymbol(a) jo(a,__LINE__)
#define FE(v,e,...) for(au&&__VA_OPT__([)e __VA_OPT__(,__VA_ARGS__]):v)
#define FO(n) for(ll usymbol(i)=n;usymbol(i)-->0;)
#define FOR(i,...) for(au[i,i##O,i##E]=rng(0,__VA_ARGS__);i<i##O;i+=i##E)
#define fe(v,...) FE(v,__VA_ARGS__)
#define fo(i,...) FO##__VA_OPT__(R)(i __VA_OPT__(,__VA_ARGS__))
#define of(i,...) for(au[i,i##O,i##E]=rng(1,__VA_ARGS__);i>=i##O;i-=i##E)
#define I template
#define J class
#define au auto
#define rr return
using namespace std;
using vo=void;using bo=bool;
vo solve();
I<J A,J B>constexpr bo same=is_same_v<A,B>;
using is=istream;using os=ostream;
using dd=long double;using ll=long long;using ull=unsigned long long;
using lll=__int128_t;using ulll=__uint128_t;using str=string;
os&operator<<(os&o,const ulll&x){rr(x<10?o:o<<x/10)<<ll(x%10);}
os&operator<<(os&o,const lll&x){rr o<<str(x<0,'-')<<ulll(x>0?x:-x);}
constexpr dd ee=1e-12;
constexpr ll oo=3e18;
constexpr ll dx[]{-1,0,1,0,-1,1,1,-1},dy[]{0,-1,0,1,-1,-1,1,1};
constexpr char sp=32,nl=10;
au rng(bo s,ll a,ll b=oo,ll c=1){if(b==oo)b=a,(s?b:a)=0;rr tuple{a-s,b,c};}
I<J T>T zz(T x){rr x<0?-x:x;}
I<J T>ll len(const T&a){rr a.size();}
I<J T>bo amax(T&a,const T&b){rr a<b?a=b,1:0;}
I<J...A>au max(const A&...a){rr max(initializer_list<common_type_t<A...>>{a...});}
I<J...A>au min(const A&...a){rr min(initializer_list<common_type_t<A...>>{a...});}

I<J A,J B=A>struct cp{
  A a={};B b={};
  cp(){}
  cp(A a,B b):a(a),b(b){}
  cp(pair<A,B>p):a(p.first),b(p.second){}
  bo operator==(const cp&c)const{rr a==c.a&&b==c.b;}
  au operator<=>(const cp&c)const{rr a!=c.a?a<=>c.a:b<=>c.b;}
  friend is&operator>>(is&i,cp&c){rr i>>c.a>>c.b;}
  friend os&operator<<(os&o,const cp&c){rr o<<c.a<<sp<<c.b;}
};using cl=cp<ll>;
I<J A,J B=A,J C=A>struct tr{
  A a={};B b={};C c={};
  tr(){}
  tr(A a,B b,C c):a(a),b(b),c(c){}
  bo operator==(const tr&t)const{rr a==t.a&&b==t.b&&c==t.c;}
  au operator<=>(const tr&t)const{rr a!=t.a?a<=>t.a:b!=t.b?b<=>t.b:c<=>t.c;}
  friend is&operator>>(is&i,tr&t){rr i>>t.a>>t.b>>t.c;}
  friend os&operator<<(os&o,const tr&t){rr o<<t.a<<sp<<t.b<<sp<<t.c;}
};using tl=tr<ll>;

I<J T,size_t n>using ar=array<T,n>;
I<J T,size_t n>os&operator<<(os&o,const ar<T,n>&a){fo(i,n)o<<a[i]<<str(i!=n-1,sp);rr o;}
I<J T,J U=T>using map=std::map<T,U>;
I<J T,J U>os&operator<<(os&o,const map<T,U>&m){fe(m,e)o<<e.first<<sp<<e.second<<nl;rr o;}
I<J T,J U=T>using umap=unordered_map<T,U>;
I<J T,J U>os&operator<<(os&o,const umap<T,U>&m){fe(m,e)o<<e.first<<sp<<e.second<<nl;rr o;}
I<size_t n>using bset=bitset<n>;
I<size_t n>os&operator<<(os&o,const bset<n>&b){fo(i,n)o<<b[i];rr o;}

I<J...A>os&operator<<(os&o,const tuple<A...>&t){apply([&](const au&...a){ll i=sizeof...(a);(((o<<a<<str(--i>0,sp))),...);},t);rr o;}

I<J T,J F>struct prique:priority_queue<T,vector<T>,F>{
  prique(const initializer_list<T>&a={}){fe(a,e)this->emplace(e);}
  prique(const vector<T>&a){fe(a,e)this->emplace(e);}
  friend T bg(prique&q){rr q.top();}
  friend T pot(prique&q){T r=q.top();q.pop();rr r;}
  friend os&operator<<(os&o,prique q){while(len(q))o<<pot(q)<<str(len(q)>0,sp);rr o;}
};
I<J T>using qmax=prique<T,less<>>;
I<J T>using qmin=prique<T,greater<>>;

I<J T>struct mset:multiset<T>{
  mset(const initializer_list<T>&a={}){fe(a,e)this->emplace(e);}
  mset(const vector<T>&a){fe(a,e)this->emplace(e);}
  friend os&operator<<(os&o,const mset&s){fe(s,e)o<<e<<str(&e!=&*s.rbegin(),sp);rr o;}
};
I<J T>struct set:mset<T>{
  set(const initializer_list<T>&a={}){fe(a,e)this->emplace(e);}
  set(const vector<T>&a){fe(a,e)this->emplace(e);}
  I<J...A>au emplace(A&&...a){
    T x(std::forward<A>(a)...);
    if(au p=this->find(x);p!=this->end())rr pair{p,0};
    rr pair{this->mset<T>::emplace(x),1};
  }
};

I<J V>struct ve;
I<J V>constexpr bo isv=0;
I<J V>constexpr bo isv<ve<V>> =1;
I<J V>constexpr bo isv<vector<V>> =1;
I<J V>au rawv(V){if constexpr(isv<V>)rr rawv(V(1)[0]);else rr V();}

I<J V>struct ve:vector<V>{
  using vector<V>::vector;
  using T=decltype(rawv(V()));
  I<J U>ve(const vector<U>&v={}){static_assert(isv<V> ==isv<U>);fe(v,e)this->eb(e);}

  ve&operator+=(const ve&u){au&v=*this;fo(i,len(v))v[i]+=u[i];rr v;}ve operator+(const ve&u)const{rr ve(*this)+=u;}
  ve&operator-=(const ve&u){au&v=*this;fo(i,len(v))v[i]-=u[i];rr v;}ve operator-(const ve&u)const{rr ve(*this)-=u;}
  ve&operator^=(const ve&u){fe(u,e)this->eb(e);rr*this;}ve operator^(const ve&u)const{rr ve(*this)^=u;}
  ve&operator+=(const T&x){au&v=*this;fe(v,e)e+=x;rr v;}ve operator+(const T&x)const{rr ve(*this)+=x;}
  ve&operator-=(const T&x){au&v=*this;fe(v,e)e-=x;rr v;}ve operator-(const T&x)const{rr ve(*this)-=x;}
  ve&operator*=(const T&x){au&v=*this;fe(v,e)e*=x;rr v;}ve operator*(const T&x)const{rr ve(*this)*=x;}
  ve&operator++(){rr*this+=1;}
  ve&operator--(){rr*this-=1;}
  ve operator-()const{rr ve(*this)*=-1;}
  I<size_t n>au&operator+=(const bset<n>&a){fo(i,n)(*this)[i]+=a[i];rr*this;}
  I<size_t n>au&operator-=(const bset<n>&a){fo(i,n)(*this)[i]-=a[i];rr*this;}

  au lower_bound(const V&x)const{rr std::lower_bound(all(*this),x);}
  au upper_bound(const V&x)const{rr std::upper_bound(all(*this),x);}

  I<J F>au scan(F f)const{cp<T,bo>r;fe(*this,e)if constexpr(!isv<V>)r.b?f(r.a,e),r:r={e,1};else if(au s=e.scan(f);s.b)r.b?f(r.a,s.a),r:r=s;rr r;}
  T max()const{rr scan([](T&a,const T&b){a<b?a=b:0;}).a;}
  T min()const{rr scan([](T&a,const T&b){a>b?a=b:0;;}).a;}

  friend is&operator>>(is&i,ve&v){fe(v,e)i>>e;rr i;}
  friend os&operator<<(os&o,const ve&v){fe(v,e)o<<e<<str(&e!=&v.back(),isv<V>?nl:sp);rr o;}
};
I<J T=ll,size_t n,size_t i=0>au vec(const ll(&s)[n],T x={}){if constexpr(n==i+1)rr ve<T>(s[i],x);else{au X=vec<T,n,i+1>(s,x);rr ve<decltype(X)>(s[i],X);}}
I<ll n,J...A>vo setsize(const ll(&l)[n],A&...a){((a=vec(l,rawv(a))),...);}
I<J T>using v2=ve<ve<T>>;using u1=ve<ll>;using u2=v2<ll>;
using graph=v2<cl>;

vo io(){cin.tie(0)->sync_with_stdio(0);cout<<fixed<<setprecision(15);cerr<<nl;}
I<J...A>vo li(A&...a){(cin>>...>>a);}
I<J...A>vo vi(A&...a){fo(i,(len(a)&...))(cin>>...>>a[i]);}
I<char c=sp,J...A>vo pp(const A&...a){ll i=sizeof...(a);((cout<<a<<str(--i>0,c)),...);cout<<nl;}

u1 it(ll n,ll x=0){u1 a;fo(i,n)a.eb(i+x);rr a;}
I<J F,J...A>u1 vsrt(F f,A&...a){u1 o=it((len(a)&...));sort(all(o),f);([&](au&e){au c=e;fo(i,len(e))e[i]=c[o[i]];}(a),...);rr o;}
I<J F>struct rec:F{rec(F&&f):F(std::forward<F>(f)){}I<J...A>decltype(au)operator()(A&&...a)const{rr F::operator()(*this,std::forward<A>(a)...);}};

namespace cht{

template<class T>struct line{
  T a={},b={};
  line(){}
  line(T a,T b):a(a),b(b){}
  bo operator<(const line&rhs)const{
    return a!=rhs.a?a>rhs.a:b<rhs.b;
  }
  friend os&operator<<(os&o,const line&l){
    return o<<l.a<<sp<<l.b;
  }
};

template<class T>struct crosspoint{
  T n,d;
  line<T>l;
  crosspoint(T n,T d,const line<T>&l):n(n),d(d),l(l){
    if(this->d<0)this->n*=-1,this->d*=-1;
  }
  bo operator<(const crosspoint&rhs)const{
    return n*rhs.d<rhs.n*d;
  }
  friend os&operator<<(os&o,const crosspoint&p){
    return o<<p.n<<sp<<p.d<<sp<<p.l;
  }
};

template<class T>crosspoint<T>calc_crosspoint(const line<T>&l1,const line<T>&l2){
  return{l1.b-l2.b,l2.a-l1.a,l1};
}

template<class T>bo need(const line<T>&l1,const line<T>&l2,const line<T>&l3){
  if(l1.a==l2.a&&l1.b<=l2.b)return 0;
  return(l2.a-l1.a)*(l3.b-l2.b)<(l2.b-l1.b)*(l3.a-l2.a);
}

template<class T>struct min_convex_hull_trick{
  set<line<T>>ls;
  set<crosspoint<T>>ps;

  vo add(T a,T b){
    line l(a,b);
    auto lp=ls.emplace(a,b).first;

    if(lp!=ls.begin()&&lp!=prev(ls.end())){
      if(need(*prev(lp),*lp,*next(lp))){
        ps.erase(calc_crosspoint(*prev(lp),*next(lp)));
      }else{
        ls.erase(lp);
        return;
      }
    }

    typename set<line<T>>::iterator cu;

    if(lp!=ls.begin()){
      cu=prev(lp);
      while(cu!=ls.begin()&&!need(*prev(cu),*cu,l)){
        ps.erase(calc_crosspoint(*prev(cu),*cu));
        cu=prev(cu);
      }
      ls.erase(next(cu),lp);
      lp=ls.find(l);
      ps.emplace(calc_crosspoint(*prev(lp),*lp));
    }

    if(lp!=prev(ls.end())){

      cu=next(lp);
      while(cu!=prev(ls.end())&&!need(l,*cu,*next(cu))){
        ps.erase(calc_crosspoint(*cu,*next(cu)));
        cu=next(cu);
      }
      ls.erase(next(lp),cu);
      lp=ls.find(l);
      ps.emplace(calc_crosspoint(*lp,*next(lp)));
    }
  }

  T operator()(T x){
    auto p=ps.lower_bound(crosspoint<T>(x,1,line<T>()));
    if(p!=ps.end())return p->l.a*x+p->l.b;
    else return ls.rbegin()->a*x+ls.rbegin()->b;
  }
};
template<class T>struct max_convex_hull_trick:min_convex_hull_trick<T>{
  using base=min_convex_hull_trick<T>;
  vo add(T a,T b){base::add(-a,-b);}
  T operator()(T x){return-base::operator()(x);}
};

}
vo main(){io();ll T=1;fo(T)solve();}
template<class T>ll sgn(const T&a){return(a>=ee)-(a<=-ee);}
template<class T,class U>ll sgn(const T&a,const U&b){return sgn(a-b);}

vo solve(){
  LL(N);
  ve<dd>a(N),b(N);vi(a,b);

  vsrt([&](ll i,ll j){rr sgn(b[i],b[j])?sgn(b[i],b[j])<0:sgn(a[i],a[j])<0;},a,b);
  cht::min_convex_hull_trick<dd>cht_min;
  cht::max_convex_hull_trick<dd>cht_max;
  fo(i,N)cht_min.add(-b[i],a[i]);
  of(i,N)cht_max.add(-b[i],a[i]);

  dd ans=0;
  dd t=0;
  fo(i,N){
    if(b[i]){
      amax(ans,zz(b[i]*cht_max(a[i]/b[i])));
      amax(ans,zz(b[i]*cht_min(a[i]/b[i])));
    }else{
      amax(t,zz(a[i]));
    }
  }

  fo(i,N)b[i]=zz(b[i]);
  amax(ans,t*b.max());
  pp(llroundl(ans));
}}

yukicoder

結果

テストケース

ソースコード