結果

問題 No.1649 Manhattan Square
ユーザー n_vipn_vip
提出日時 2021-08-13 22:22:40
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 534 ms / 3,000 ms
コード長 11,538 bytes
コンパイル時間 2,324 ms
コンパイル使用メモリ 157,164 KB
実行使用メモリ 36,184 KB
最終ジャッジ日時 2023-07-27 05:16:17
合計ジャッジ時間 23,665 ms
ジャッジサーバーID
(参考情報)
judge12 / judge15
このコードへのチャレンジ(β)

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 53 ms
16,092 KB
testcase_01 AC 52 ms
16,168 KB
testcase_02 AC 57 ms
16,720 KB
testcase_03 AC 57 ms
16,552 KB
testcase_04 AC 55 ms
16,692 KB
testcase_05 AC 57 ms
16,600 KB
testcase_06 AC 56 ms
16,552 KB
testcase_07 AC 487 ms
35,936 KB
testcase_08 AC 512 ms
35,580 KB
testcase_09 AC 509 ms
35,680 KB
testcase_10 AC 507 ms
35,664 KB
testcase_11 AC 484 ms
36,024 KB
testcase_12 AC 392 ms
29,504 KB
testcase_13 AC 487 ms
31,532 KB
testcase_14 AC 457 ms
31,604 KB
testcase_15 AC 464 ms
31,676 KB
testcase_16 AC 399 ms
29,516 KB
testcase_17 AC 405 ms
29,512 KB
testcase_18 AC 378 ms
27,764 KB
testcase_19 AC 452 ms
31,540 KB
testcase_20 AC 402 ms
29,784 KB
testcase_21 AC 470 ms
31,608 KB
testcase_22 AC 522 ms
35,908 KB
testcase_23 AC 518 ms
36,044 KB
testcase_24 AC 507 ms
35,904 KB
testcase_25 AC 517 ms
36,028 KB
testcase_26 AC 515 ms
36,184 KB
testcase_27 AC 495 ms
36,032 KB
testcase_28 AC 498 ms
35,892 KB
testcase_29 AC 509 ms
36,048 KB
testcase_30 AC 488 ms
36,140 KB
testcase_31 AC 524 ms
36,176 KB
testcase_32 AC 528 ms
36,008 KB
testcase_33 AC 525 ms
36,044 KB
testcase_34 AC 534 ms
36,032 KB
testcase_35 AC 491 ms
36,032 KB
testcase_36 AC 489 ms
36,032 KB
testcase_37 AC 487 ms
36,036 KB
testcase_38 AC 512 ms
35,980 KB
testcase_39 AC 492 ms
35,884 KB
testcase_40 AC 526 ms
36,064 KB
testcase_41 AC 506 ms
35,980 KB
testcase_42 AC 306 ms
36,032 KB
testcase_43 AC 55 ms
16,140 KB
testcase_44 AC 56 ms
16,232 KB
権限があれば一括ダウンロードができます
コンパイルメッセージ
main.cpp: 関数 ‘mint solve(const std::vector<std::pair<long long int, long long int> >&)’ 内:
main.cpp:238:28: 警告: narrowing conversion of ‘(std::tuple_element<0, const std::pair<long long int, long long int> >::type)x’ from ‘std::tuple_element<0, const std::pair<long long int, long long int> >::type’ {aka ‘long long int’} to ‘int’ [-Wnarrowing]
  238 |                 st.add(yi,{x,y});
      |                            ^
main.cpp:238:30: 警告: narrowing conversion of ‘(std::tuple_element<1, const std::pair<long long int, long long int> >::type)y’ from ‘std::tuple_element<1, const std::pair<long long int, long long int> >::type’ {aka ‘long long int’} to ‘int’ [-Wnarrowing]
  238 |                 st.add(yi,{x,y});
      |                              ^

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_init_captures
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<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;}
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;}
#endif
#define TT cauto TTT=read();rep(_,TTT)
const ll MOD=998244353;

ll modpow_(ll r,ll n,ll m=MOD){
  ll re=1,d=r%m;
  if(n<0)(n%=m-1)+=m-1;
  for(;n;n/=2){
    if(n&1)(re*=d)%=m;
    (d*=d)%=m;
  }
  return re;
}
template <int mod=MOD> struct ModInt{
  int v;
  ModInt(int v=0):v(v){}
  ModInt operator+(const ModInt &n)const{return v+n.v<mod ? v+n.v : v+n.v-mod;}
  ModInt operator-(const ModInt &n)const{return v-n.v<0 ? v-n.v+mod : v-n.v;}
  ModInt operator*(const ModInt &n)const{return int(ll(v)*n.v%mod);}
  ModInt operator/(const ModInt &n)const{return int(ll(v)*modpow_(n.v%mod,-1,mod)%mod);}
  ModInt operator+(const int &n)const{return v+n<mod ? v+n : v+n-mod;}
  ModInt operator-(const int &n)const{return v-n<0 ? v-n+mod : v-n;}
  ModInt operator*(const ll &n)const{return int(ll(v)*(n%mod)%mod);}
  ModInt operator/(const ll &n)const{return int(ll(v)*modpow_(n%mod,-1,mod)%mod);}
  ModInt& operator+=(const ModInt &n){v+=n.v; if(v>=mod) v-=mod; return *this;}
  ModInt& operator-=(const ModInt &n){v-=n.v; if(v<0) v+=mod; return *this;}
  ModInt& operator*=(const ModInt &n){v=ll(v)*n.v%mod; return *this;}
  ModInt& operator/=(const ModInt &n){v=ll(v)*modpow_(n.v,-1,mod)%mod; return *this;}
  ModInt& operator+=(const int &n){v+=n; if(v>=mod) v-=mod; return *this;}
  ModInt& operator-=(const int &n){v-=n; if(v<0) v+=mod; return *this;}
  ModInt& operator*=(const ll &n){v=ll(v)*n%mod; return *this;}
  ModInt& operator/=(const ll &n){v=ll(v)*modpow_(n,-1,mod)%mod; return *this;}
	bool operator==(const ModInt &n)const{return v==n.v;};
	bool operator!=(const ModInt &n)const{return v!=n.v;};
	ModInt& operator++(){ return operator+=(1); }
	ModInt& operator--(){ return operator-=(1); }
	ModInt operator++(int i){ ModInt tmp(*this); operator++(); return tmp; }
	ModInt operator--(int i){ ModInt tmp(*this); operator--(); return tmp; }
};
#ifdef NUIP
class MINT_FRAC____{
public:
	unordered_map<int,pii> dict;
	MINT_FRAC____(int n){
		rep(p,n+1)reps(q,1,n+1)if(__gcd(p,q)==1){
			dict[int(1ll*p*modpow_(q,-1)%MOD)]=pii(p,q);
			dict[int(MOD-1ll*p*modpow_(q,-1)%MOD)]=pii(-p,q);
		}
	}
} Il1Il1Il1(1000);
template<int mod> ostream& operator<<(ostream &os,const ModInt<mod> &n){if(Il1Il1Il1.dict.count(n.v)) os<<n.v, cerr<<"("<<Il1Il1Il1.dict[n.v].X<<"/"<<Il1Il1Il1.dict[n.v].Y<<")";else os<<n.v;return os;};
#else
template<int mod> ostream& operator<<(ostream &os,const ModInt<mod> &n){return os<<n.v;};
#endif
template<int mod> ModInt<mod> operator+(const ll &n,const ModInt<mod> &m){return m.v+n<mod ? m.v+n : m.v+n-mod;}
template<int mod> ModInt<mod> operator-(const ll &n,const ModInt<mod> &m){return n-m.v<0 ? n-m.v+mod : n-m.v;}
template<int mod> ModInt<mod> operator*(const ll &n,const ModInt<mod> &m){return ll(m.v)*(n%mod)%mod;}
template<int mod> ModInt<mod> operator/(const ll &n,const ModInt<mod> &m){return ModInt<mod>(n%mod)/m;}
typedef ModInt<MOD> mint;
template <int mod> ModInt<mod> modpow(ModInt<mod> r,ll n){ ModInt<mod> re(1); if(n<0)(n%=mod-1)+=mod-1; for(;n;n/=2){if(n&1) re*=r; r*=r;} return re;}
vector<mint> fact,finv,inv;
mint comb(ll n,ll r){ if(n<r||r<0)return 0; return fact[n]*finv[n-r]*finv[r];}
class Doralion{
  void Modinvs(vector<mint> &re,int n){ re.resize(n+1); re[1]=1; for(int i=2;i<=n;++i)re[i]=re[MOD%i]*(MOD-MOD/i);}
  void Facts(vector<mint> &re,int n){ re.resize(n+1); re[0]=1; rep(i,n)re[i+1]=re[i]*(i+1);}
  void Factinvs(vector<mint> &re,const vector<mint> &inv,int n){ re.resize(n+1); re[0]=1; rep(i,n)re[i+1]=re[i]*inv[i+1];}
public:
  Doralion(int n){ Modinvs(inv,n); Facts(fact,n); Factinvs(finv,inv,n);}
} doralion(1123456);
using pmm=pair<mint,mint>;
mint modpow(ll r,ll n){ return (int)modpow_(r,n);}

struct Seg{
	mint cnt,x,y,xy;
	Seg():cnt(0),x(0),y(0),xy(0){};
  Seg(const int &x,const int &y):cnt(1),x(x),y(y),xy(mint(x)*y){}
  Seg(const mint &cnt,const mint &x,const mint &y,const mint &xy):cnt(cnt),x(x),y(y),xy(xy){}
  static Seg e;
};
Seg Seg::e=Seg();

Seg operator+(const Seg &l,const Seg &r){
  return Seg(l.cnt+r.cnt,l.x+r.x,l.y+r.y,l.xy+r.xy);
}


template<class SegTree>
struct SegTreeUpdater{
	SegTree *st;
	int i;
	SegTreeUpdater(SegTree *st,int i):st(st),i(i){}
	template<class Seg> void operator+=(const Seg &seg){ st->add(i,seg);}
	template<class Seg> void operator=(const Seg &seg){	st->assign(i,seg);}
};

template<class Seg>
struct SegTree{
	vector<Seg> segs;
	void add(int k,Seg a){
		k+=segs.size()/2-1;
		segs[k]=segs[k]+a;
		upd(k);
	}
	void assign(int k,Seg a){
		k+=segs.size()/2-1;
		segs[k]=a;
		upd(k);
	}
	void upd(int k){
		while(k>0){
			k=(k-1)/2;
			segs[k]=segs[k*2+1]+segs[k*2+2];
		}
	}
	void upd(){	rrep(k,segs.size()/2-1) segs[k]=segs[k*2+1]+segs[k*2+2];}
	
	//(l,r,0,0,nn)
	template<class T=Seg> T query(int a,int b,int k,int l,int r){
		if(r<=a || b<=l)return T::e;
		if(a<=l && r<=b) return segs[k];
		T lv=query(a,b,k*2+1,l,(l+r)/2) ,rv= query(a,b,k*2+2,(l+r)/2,r);
		return lv+rv;
	}

	SegTree(int n){
		int pw=1;
		while(pw<n) pw*=2;
		segs.resize(2*pw);
	}
	SegTreeUpdater<SegTree<Seg>> operator[](int i){ return {this,i};}
	Seg operator()(int l,int r){ return query(max(0,l),min((int)segs.size()/2,r),0,0,segs.size()/2);};
	Seg& operator()(int i){ return segs[segs.size()/2-1+i];}
	Seg operator()(){ return segs[0];}
	Seg rb(int r){ return operator()(0,r); }
	Seg lb(int l){ return operator()(l,segs.size()/2); }
};

mint solve(const vector<pll> &ps){
	vector<ll> ys;
	for(cauto &p:ps) ys.eb(p.Y);
	sort(all(ys)); UNIQUE(ys);
	SegTree<Seg> st(ys.size());
	mint re=0;
	for(cauto &[x,y]:ps){
		cauto yi=lower_bound(all(ys),y)-ys.begin();
		cauto seg=st(0,yi);
		re+=mint(x)*y*seg.cnt;
		re+=seg.xy;
		re-=seg.x*y;
		re-=seg.y*x;
		st.add(yi,{x,y});
	}
	return re;
}

mint A(vector<pll> ps){
	mint re=0;
	sort(all(ps));
	re+=solve(ps);
	for(auto &p:ps) p.Y=1000000001-p.Y;
	sort(all(ps));
	re+=solve(ps);
	return re;
}

mint naiveA(const vector<pll> &ps){
	mint re=0;
	rep(i,ps.size())rep(j,i){
		cauto [dx,dy]=ps[i]-ps[j];
		re+=mint(abs(dx*dy)%MOD);
	}
	return re;
}

mint sq(vector<mint> vs){
	const int n=vs.size();
	mint re=0;
	cauto sum=accumulate(all(vs),mint(0));
	for(cauto &v:vs) re-=v*(sum-v);
	for(cauto &v:vs) re+=v*v*(n-1);
	return re;
}
mint naiveSq(const vector<mint> &vs){
	mint re=0;
	rep(i,vs.size())rep(j,i){
		cauto &d=vs[i]-vs[j];
		re+=d*d;
	}
	return re;
}

int main(){
	ios_base::sync_with_stdio(false); cin.tie(0);
	cout<<fixed<<setprecision(0);
	cauto n=read();
	cauto ps=readV<pll>(n);
	vector<mint> xs,ys;
	for(cauto &[x,y]:ps){
		xs.eb(x);
		ys.eb(y);
	}
	out(naiveSq(xs),sq(xs),1);
	cout<<sq(xs)+sq(ys)+2*A(ps) NL;
	return 0;
}
0