結果

問題 No.1874 Minimum of Sum of Rectangles
ユーザー n_vipn_vip
提出日時 2022-03-11 23:18:11
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
WA  
実行時間 -
コード長 10,338 bytes
コンパイル時間 2,049 ms
コンパイル使用メモリ 158,260 KB
実行使用メモリ 162,612 KB
最終ジャッジ日時 2023-10-14 08:34:56
合計ジャッジ時間 14,046 ms
ジャッジサーバーID
（参考情報） 		judge11 / judge12
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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 WA -
testcase_01 WA -
testcase_02 WA -
testcase_03 WA -
testcase_04 TLE -
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testcase_11 -- -
testcase_12 -- -
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testcase_41 -- -
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ソースコード

diff # 

#include <string>
#include <vector>
#include<iostream>
#include<cstdio>
#include<cstdlib>
#include<stack>
#include<queue>
#include<cmath>
#include<algorithm>
#include<functional>
#include<list>
#include<deque>
#include<bitset>
#include<set>
#include<map>
#include<unordered_map>
#include<unordered_set>
#include<cstring>
#include<sstream>
#include<complex>
#include<iomanip>
#include<numeric>
#include<cassert>
#include<random>
#define X first
#define Y second
#define pb push_back
#define rep(X,Y) for (int X = 0;X < (int)(Y);++X)
#define reps(X,S,Y) for (int X = (int)(S);X < (int)(Y);++X)
#define rrep(X,Y) for (int X = (int)(Y)-1;X >=0;--X)
#define rreps(X,S,Y) for (int X = (int)(Y)-1;X >= (int)(S);--X)
#define repe(X,Y) for (X = 0;X < (Y);++X)
#define peat(X,Y) for (;X < (Y);++X)
#define all(X) X.begin(),X.end()
#define rall(X) X.rbegin(),X.rend()
#define eb emplace_back
#define UNIQUE(X) X.erase(unique(all(X)),X.end())
#define Endl endl
#define NL <<"\n"
#define cauto const auto

using namespace std;
using ll=long long;
using pii=pair<int,int>;
using pll=pair<ll,ll>;
template<class T> using vv=vector<vector<T>>;
template<class T> inline bool MX(T &l,const T &r){return l<r?l=r,1:0;}
template<class T> inline bool MN(T &l,const T &r){return l>r?l=r,1:0;}
//#undef NUIP
#ifdef NUIP
#include "benri.h"
#else
#define out(args...)
#endif
void ouT(ll x,int d=3){auto re=to_string(x);if((int)re.size()>d) re=x>0?"oo":"-oo";cout<<string(d-re.size(),' ')<<re<<",";}
#ifdef __cpp_init_captures
template<typename T>vector<T> table(int n, T v){ return vector<T>(n, v);}
template <class... Args> auto table(int n, Args... args){auto val = table(args...); return vector<decltype(val)>(n, move(val));}
#endif
template<class A,class B> pair<A,B> operator+(const pair<A,B> &p,const pair<A,B> &q){ return {p.X+q.X,p.Y+q.Y};}
template<class A,class B,class C,class D> pair<A,B>& operator+=(pair<A,B> &p,const pair<C,D> &q){ p.X+=q.X; p.Y+=q.Y; return p;}
template<class A,class B> pair<A,B> operator-(const pair<A,B> &p,const pair<A,B> &q){ return {p.X-q.X,p.Y-q.Y};}
template<class A,class B,class C,class D> pair<A,B>& operator-=(pair<A,B> &p,const pair<C,D> &q){ p.X-=q.X; p.Y-=q.Y; return p;}
template<class A,class B> istream& operator>>(istream &is, pair<A,B> &p){ is>>p.X>>p.Y; return is;}
template<class T=ll> T read(){ T re; cin>>re; return re;}
template<class T=ll> T read(const T &dec){ T re; cin>>re; return re-dec;}
template<class T=ll> vector<T> readV(const int sz){ vector<T> re(sz); for(auto &x:re) x=read<T>(); return re;}
template<class T=ll> vector<T> readV(const int sz, const T &dec){ vector<T> re(sz); for(auto &x:re) x=read<T>(dec); return re;}
vv<int> readG(const int &n,const int &m){ vv<int> g(n); rep(_,m){ cauto a=read<int>(1),b=read<int>(1); g[a].pb(b); g[b].pb(a);} return g;}
vv<int> readG(const int &n){ return readG(n,n-1);}
vv<int> readD(const int &n,const int &m){ vv<int> g(n); rep(_,m){ cauto a=read<int>(1),b=read<int>(1); g[a].pb(b); } return g;}
vv<int> readD(const int &n){ return readD(n,n-1);}
template<class T> vv<pair<int,T>> readG(const int &n,const int &m){ vv<pair<int,T>> g(n); rep(_,m){ cauto a=read<int>(1),b=read<int>(1); cauto c=read<T>(); g[a].eb(b,c); g[b].eb(a,c);} return g;}
template<class T> vv<pair<int,T>> readG(const int &n){ return readG<T>(n,n-1);}
template<class T> vv<pair<int,T>> readD(const int &n,const int &m){ vv<pair<int,T>> g(n); rep(_,m){ cauto a=read<int>(1),b=read<int>(1); cauto c=read<T>(); g[a].eb(b,c); } return g;}
template<class T> vv<pair<int,T>> readD(const int &n){ return readD<T>(n,n-1);}
#ifdef __cpp_deduction_guides
template<typename T> vector<T> readT(int n, T v){ return readV(n,v);}
template <class... Args> auto readT(int n, Args... args){ vector re(1,readT(args...));rep(_,n-1) re.eb(readT(args...));	return re;}
template<class Tuple, size_t... Is> void read_tuple_impl(istream &is, Tuple& t, index_sequence<Is...>){((is >> get<Is>(t)), ...);}
template<class... Args> auto& operator>>(istream &is, tuple<Args...>& t){ read_tuple_impl(is, t, index_sequence_for<Args...>{}); return is;}
template<class T> bool erase(multiset<T> &st, const T &v){if(cauto it=st.find(v); it==st.end()) return false; else{ st.erase(it); return true;}}
#endif
#ifdef __cpp_init_captures
template<typename T, size_t... Is> void addadd(T& t1, const T& t2, integer_sequence<size_t, Is...>){ cauto l = { (get<Is>(t1) += get<Is>(t2), 0)... }; (void)l;}
template <typename...T>tuple<T...>& operator += (tuple<T...>& lhs, const tuple<T...>& rhs){	addadd(lhs, rhs, index_sequence_for<T...>{});	return lhs;}
template <typename...T>tuple<T...> operator +(tuple<T...> lhs, const tuple<T...>& rhs){ return lhs += rhs;}
template<typename T, size_t... Is> void subsub(T& t1, const T& t2, integer_sequence<size_t, Is...>){ cauto l = { (get<Is>(t1) -= get<Is>(t2), 0)... }; (void)l;}
template <typename...T>tuple<T...>& operator -= (tuple<T...>& lhs, const tuple<T...>& rhs){	subsub(lhs, rhs, index_sequence_for<T...>{});	return lhs;}
template <typename...T>tuple<T...> operator - (tuple<T...> lhs, const tuple<T...>& rhs){ return lhs -= rhs;}
#endif
#define TT cauto TTT=read();rep(_,TTT)
struct sorted_impl{template<class T>friend vector<T>operator-(vector<T>a,sorted_impl){sort(all(a));return a;}friend string operator-(string a,sorted_impl){sort(all(a));return a;}}sorted;struct reversed_impl{template<class T>friend vector<T>operator-(vector<T> a,reversed_impl){reverse(all(a));return a;}friend string operator-(string a,reversed_impl){reverse(all(a));return a;}}reversed;struct distinct_impl{template<class T>friend vector<T>operator-(vector<T> a,distinct_impl){sort(all(a));UNIQUE(a);return a;}}distinct;template<class S>struct sortedWith{const S f;sortedWith(const S &f):f(f){}template<class T>friend vector<T>operator-(vector<T> a,const sortedWith&b){sort(all(a),[&](cauto&i,cauto&j){return b.f(i)<b.f(j);});return a;}};
template<class T>int operator/(const T&v,const vector<T>&vs){return lower_bound(all(vs),v)-vs.begin();}
vector<int> Inds(const int n){vector<int> inds(n);iota(all(inds),0);return inds;}
const ll MOD=1e9+7; //998244353;

struct Rect{
	ll a,b;
	ll sum;
	Rect(ll a=0,ll b=0):a(a),b(b),sum(a*b){}
	Rect operator+(Rect seg){
		seg.a+=a;
		seg.b+=b;
		seg.sum+=sum;
		return seg;
	}
  static Rect e;
};
Rect Rect::e=Rect();
ostream&  operator<<(ostream &os, const Rect &seg){ return os<<"("<<seg.a<<","<<seg.b<<","<<seg.sum<<")";}

template<class T>
struct Add{
	T ad;
  Add(T ad={}):ad(ad){}
	void operator+=(const Add &lfun){
		ad+=lfun.ad;
	}
	bool operator==(const Add &lfun){ return ad==lfun.ad;}

	void eval(Rect &s,int l,int r){
		s.sum+=s.a*ad.X+s.b*ad.Y+ad.X*ad.Y*(r-l);
		s.a+=ad.X;
		s.b+=ad.Y;
	}
	static Add e;
};
template<class T> Add<T> Add<T>::e=Add();
template<class T>ostream&  operator<<(ostream &os, const Add<T> &lfun){ return os<<"("<<lfun.ad<<")";}

template<class Seg, class Ope>
struct LazySegTree{
	vector<Seg> segs;
	vector<Ope> opes;
	
	void lazy_eval(int k,int a,int b){
		if(opes[k]==Ope::e) return;
		opes[k].eval(segs[k],a,b);
		if(2*k+2<(int)opes.size()){
			opes[2*k+1]+=opes[k];
			opes[2*k+2]+=opes[k];
		}
		opes[k]=Ope::e;
	}
	void upd_node(int k){segs[k]=segs[2*k+1]+segs[2*k+2];}
	void upd(int l,int r,Ope ope,int k,int a,int b){
		lazy_eval(k,a,b);
		if(b<=l || r<=a) return; 
		if(l<=a && b<=r){
			opes[k]+=ope;
			lazy_eval(k,a,b);
			return;
		}	
		int m=(a+b)/2;
		upd(l,r,ope,2*k+1,a,m);
		upd(l,r,ope,2*k+2,m,b);
		upd_node(k);
	}
	void upd(int l,int r, const Ope &ope){ upd(l,r,ope,0,0,segs.size()/2);}

	Seg query(int l,int r,int k,int a,int b){
		lazy_eval(k,a,b);
		if(b<=l || r<=a)return Seg::e; 
		if(l<=a && b<=r){return segs[k];}
  
		int m=(a+b)/2;
		Seg vl=query(l,r,2*k+1,a,m);
		Seg vr=query(l,r,2*k+2,m,b);
		upd_node(k);
		return vl+vr;
	}

	LazySegTree(int n){
		int pw=1;
		while(pw<n) pw*=2;
		segs.resize(2*pw);
		opes.resize(2*pw);
	}
	template<class Int>
	LazySegTree(vector<Int> vs){
		int n=vs.size();
		int pw=1;
		while(pw<n) pw*=2;
		segs.resize(2*pw);
		opes.resize(2*pw);
		rep(i,n) segs[pw-1+i]=vs[i];
		rrep(i,pw-1) segs[i]=segs[i*2+1]+segs[i*2+2];
	}
	void operator()(int l,int r, const Ope &ope){ upd(l,r,ope,0,0,segs.size()/2);};
	void first(int r, const Ope &ope){ return operator()(0,r,ope); }
	void take(int r, const Ope &ope){ return operator()(0,r,ope); }
	void drop(int l, const Ope &ope){ return operator()(l,segs.size()/2,ope); }
	void last(int k, const Ope &ope){ return operator()((int)segs.size()/2-k,segs.size()/2,ope); }
	// void rb(int r,Ope ope){ operator()(0,r,ope); }
	// void lb(int l,Ope ope){ operator()(l,segs.size()/2,ope); }
	Seg operator()(int l,int r){ return query(l,r,0,0,segs.size()/2);};
	Seg first(int r){ return operator()(0,r); }
	Seg take(int r){ return operator()(0,r); }
	Seg drop(int l){ return operator()(l,segs.size()/2); }
	Seg last(int k){ return operator()((int)segs.size()/2-k,segs.size()/2); }
	Seg operator()()const{ return segs[0];}
};


int main(){
	ios_base::sync_with_stdio(false); cin.tie(0);
	cout<<fixed<<setprecision(0);
	cauto n=read();
	cauto ps=readV(n,pii());
	cauto inds=Inds(n)-sortedWith([&](cauto &i){return ps[i].Y;});
	vector<int> ords(n);
	rep(i,n) ords[inds[i]]=i;
	vv<int> xcs(1123456);
	rep(i,n) xcs[ps[i].X].eb(i);
	LazySegTree<Rect,Add<pll>> left(n),right(n);
	LazySegTree<Rect,Add<pll>> leftA(n),rightA(n);
	rep(i,n){
		right(i,i+1,pll(1,ps[inds[i]].X));
		rightA(i,i+1,pll(ps[inds[i]].Y,ps[inds[i]].X));
	}
	ll re=1e18;
	rep(ox,1123456){
		cauto sum=left().sum+right().sum;
		int l=0,r=n;
		while(r-l>1){
			cauto m=(l+r)/2;
			(2*(left.take(m).sum+right.take(m).sum)<=sum?l:r)=m;
		}
		if(ox<10) out(ox,l,r,1);
		ll cost=0;
		cauto y=ps[inds[l]].Y;
		cost+=y*left.take(l).a-leftA.take(l).sum;
		if(ox==2) out(ox,cost,y,l,1);
		cost+=y*right.take(l).a-rightA.take(l).sum;
		if(ox==2) out(ox,cost,y,l,1);
		cost+=leftA.drop(l).sum-(n-y)*left.drop(l).a;
		if(ox==2) out(ox,cost,y,l,leftA.drop(l),(n-y),left.drop(l),1);
		cost+=rightA.drop(l).sum-(n-y)*right.drop(l).a;
		if(ox==2) out(ox,cost,y,l,1);
		MN(re,cost);
		for(cauto &i:xcs[ox]){
			cauto x=ps[inds[i]].Y;
			right(i,i+1,pll(-1,0));
			left(i,i+1,pll(1,0));
			rightA(i,i+1,pll(-x,0));
			leftA(i,i+1,pll(x,0));
		}
		right.drop(0,pll(0,-1));
		left.drop(0,pll(0,1));
		rightA.drop(0,pll(0,-1));
		leftA.drop(0,pll(0,1));
	}
	cout<<re NL;
	return 0;
}
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