結果

問題 No.1300 Sum of Inversions
ユーザー n_vipn_vip
提出日時 2020-11-27 21:53:58
言語 C++17
(gcc 13.2.0 + boost 1.83.0)
結果
AC  
実行時間 128 ms / 2,000 ms
コード長 7,401 bytes
コンパイル時間 1,579 ms
コンパイル使用メモリ 144,016 KB
実行使用メモリ 21,212 KB
最終ジャッジ日時 2023-10-01 05:29:59
合計ジャッジ時間 7,252 ms
ジャッジサーバーID
（参考情報） 		judge14 / judge12
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
17,640 KB
testcase_01 AC 52 ms
17,668 KB
testcase_02 AC 51 ms
17,752 KB
testcase_03 AC 108 ms
20,328 KB
testcase_04 AC 108 ms
20,324 KB
testcase_05 AC 100 ms
19,788 KB
testcase_06 AC 114 ms
20,752 KB
testcase_07 AC 112 ms
20,560 KB
testcase_08 AC 121 ms
20,864 KB
testcase_09 AC 119 ms
20,848 KB
testcase_10 AC 88 ms
19,596 KB
testcase_11 AC 88 ms
19,424 KB
testcase_12 AC 105 ms
20,316 KB
testcase_13 AC 107 ms
20,212 KB
testcase_14 AC 128 ms
21,052 KB
testcase_15 AC 124 ms
20,836 KB
testcase_16 AC 109 ms
20,460 KB
testcase_17 AC 88 ms
19,416 KB
testcase_18 AC 93 ms
19,648 KB
testcase_19 AC 100 ms
19,980 KB
testcase_20 AC 101 ms
19,928 KB
testcase_21 AC 100 ms
20,140 KB
testcase_22 AC 98 ms
19,664 KB
testcase_23 AC 115 ms
20,476 KB
testcase_24 AC 99 ms
19,984 KB
testcase_25 AC 91 ms
19,772 KB
testcase_26 AC 91 ms
19,524 KB
testcase_27 AC 95 ms
19,680 KB
testcase_28 AC 124 ms
20,756 KB
testcase_29 AC 100 ms
20,184 KB
testcase_30 AC 121 ms
20,848 KB
testcase_31 AC 97 ms
19,960 KB
testcase_32 AC 99 ms
19,872 KB
testcase_33 AC 87 ms
21,100 KB
testcase_34 AC 101 ms
21,212 KB
testcase_35 AC 91 ms
21,048 KB
testcase_36 AC 97 ms
20,916 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

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
#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 move(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 move(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 move(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 move(g);}
vv<int> readG(const int &n){ return readG(n,n-1);}
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 ll(v)*n.v%mod;}
  ModInt operator/(const ModInt &n)const{return ll(v)*modpow_(n.v%mod,-1,mod)%mod;}
  ModInt operator+(const ll &n)const{return v+n<mod ? v+n : v+n-mod;}
  ModInt operator-(const ll &n)const{return v-n<0 ? v-n+mod : v-n;}
  ModInt operator*(const ll &n)const{return ll(v)*(n%mod)%mod;}
  ModInt operator/(const ll &n)const{return 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 ll &n){v+=n; if(v>=mod) v-=mod; return *this;}
  ModInt& operator-=(const ll &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[1ll*p*modpow_(q,-1)%MOD]=pii(p,q);
			dict[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<<"("<<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 modpow_(r,n);}


const int nn=212345;
mint bit[nn+1];
mint cnt[nn+1];

using pmm=pair<mint,mint>;

pmm sum(int i){ ++i;
  pmm s(0,0);
  while(i>0){
    s.X+=bit[i];
    s.Y+=cnt[i];
    i-=i&-i;
  }
  return s;
}

void add(int i,mint x){ ++i;
  while(i<=nn){
    bit[i]+=x;
		cnt[i]+=1;
    i+=i&-i;
  }
}

int main(){
  ios_base::sync_with_stdio(false); cin.tie(0);
  cout<<fixed<<setprecision(0);
	cauto n=read();
	cauto vs=readV(n);
	vector<int> ind(n); iota(all(ind),0);
	sort(all(ind),[&](cauto &i,cauto &j){ return pll{vs[i],i}<pll{vs[j],j};});
	vector<mint> sums(n+1);
	rep(i,n) sums[i+1]=sums[i]+vs[i]%MOD;
	mint re=0;
	for(cauto &i:ind){
		cauto L=sum(i);
		cauto R=sum(n)-L;
		cauto lc=i-L.Y, rc=R.Y;
		cauto ls=sums[i]-L.X, rs=R.X;
		out(i,lc,rc,ls,rs,1);
		re+=ls*rc;
		re+=rs*lc;
		re+=vs[i]%MOD*lc*rc;
		add(i,vs[i]%MOD);
	}
	if(0)rep(i,n){
		int lc=0,rc=0;
		ll ls=0,rs=0;
		rep(j,i)if(vs[j]>vs[i]) ++lc, ls+=vs[j];
		reps(j,i+1,n)if(vs[i]>vs[j]) ++rc, rs+=vs[j];
		out(i,lc,rc,ls,rs,1);
	}
	cout<<re NL;
  return 0;
}
0