#850364 (C++17) No.2250 Split Permutation

提出ソース

結果

問題	No.2250 Split Permutation
ユーザー	n_vip
提出日時	2023-03-17 22:07:33
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	355 ms / 3,000 ms
コード長	13,335 bytes
コンパイル時間	2,018 ms
コンパイル使用メモリ	151,976 KB
実行使用メモリ	28,968 KB
最終ジャッジ日時	2024-09-18 11:11:18
合計ジャッジ時間	8,065 ms
ジャッジサーバーID （参考情報）	judge5 / judge1

このコードへのチャレンジ
（要ログイン）

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	52 ms 22,768 KB
testcase_01	AC	51 ms 20,600 KB
testcase_02	AC	50 ms 20,604 KB
testcase_03	AC	50 ms 20,596 KB
testcase_04	AC	51 ms 20,596 KB
testcase_05	AC	51 ms 20,608 KB
testcase_06	AC	51 ms 20,736 KB
testcase_07	AC	51 ms 20,728 KB
testcase_08	AC	51 ms 20,608 KB
testcase_09	AC	52 ms 20,732 KB
testcase_10	AC	50 ms 20,728 KB
testcase_11	AC	49 ms 20,600 KB
testcase_12	AC	50 ms 20,736 KB
testcase_13	AC	50 ms 20,604 KB
testcase_14	AC	51 ms 22,636 KB
testcase_15	AC	52 ms 20,472 KB
testcase_16	AC	52 ms 20,608 KB
testcase_17	AC	50 ms 20,604 KB
testcase_18	AC	353 ms 26,812 KB
testcase_19	AC	313 ms 28,280 KB
testcase_20	AC	284 ms 28,564 KB
testcase_21	AC	183 ms 24,824 KB
testcase_22	AC	258 ms 28,328 KB
testcase_23	AC	83 ms 21,728 KB
testcase_24	AC	265 ms 28,340 KB
testcase_25	AC	352 ms 28,092 KB
testcase_26	AC	141 ms 24,524 KB
testcase_27	AC	72 ms 21,648 KB
testcase_28	AC	96 ms 22,552 KB
testcase_29	AC	349 ms 28,968 KB
testcase_30	AC	101 ms 22,712 KB
testcase_31	AC	61 ms 21,068 KB
testcase_32	AC	110 ms 22,736 KB
testcase_33	AC	205 ms 24,824 KB
testcase_34	AC	83 ms 21,728 KB
testcase_35	AC	155 ms 24,608 KB
testcase_36	AC	111 ms 24,760 KB
testcase_37	AC	355 ms 27,172 KB

権限があれば一括ダウンロードができます

ソースコード

raw source code

#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
#ifdef NUIP
#define TT cauto TTT=read();rep(kase,TTT)if(cerr<<"Case #"<<kase<<endl)
#else
#define TT cauto TTT=read();rep(kase,TTT)
#endif
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=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);}

template<class T>
struct Seg{
	T s;
	Seg (T s=0):s(s){}
	Seg operator+(const Seg &seg){
		return s+seg.s;
	}
  static Seg e;
};
template<class T> Seg<T> Seg<T>::e=Seg();
template<class T>ostream&  operator<<(ostream &os, const Seg<T> &seg){ return os<<"("<<seg.s<<")";}

template<class T>
struct Lfun{
	T a,b;
  Lfun(T a=1,T b=0):a(a),b(b){}
	void operator+=(const Lfun &lfun){
		a*=lfun.a;
		(b*=lfun.a)+=lfun.b;
	}
	bool operator==(const Lfun &lfun){ return a==lfun.a && b==lfun.b;}

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

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()(){ return segs[0];}
};

const int nn=1123456;
ll bit[nn+1];

ll sum(int i){ ++i;
  ll s=0;
  while(i>0){
    s+=bit[i];
    i-=i&-i;
  }
  return s;
}

void add(int i,ll x){ ++i;
  while(i<=nn){
    bit[i]+=x;
    i+=i&-i;
  }
}

int main(){
	ios_base::sync_with_stdio(false); cin.tie(0);
	cout<<fixed<<setprecision(0);
	{
		cauto n=read(0);
		cauto vs=readV(n,1);
		ll inv=0;
		for(cauto &v:vs-reversed){
			inv+=sum(v);
			add(v,1);
		}
		out(inv,1);
		LazySegTree<Seg<mint>, Lfun<mint>> st(n);
		mint re=inv%MOD*modpow(2,n-1);
		mint ng=0;
		for(cauto &v:vs){
			out(v,re,1);
			ng+=st.drop(v).s;
			st(v,v+1,{1,1});
			st.drop(0,{finv[2],0});
			//rep(i,n) cout<<st(i,i+1).s<<","; cout NL;
		}
		ng*=modpow(2,n-1);
		cout<<re-ng NL;
	}
	return 0;
}

yukicoder

結果

テストケース

ソースコード