結果

問題 No.1733 Sum of Sorted Subarrays
ユーザー ainta
提出日時 2021-11-05 22:11:09
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 554 ms / 3,000 ms
コード長 12,190 bytes
コンパイル時間 3,461 ms
コンパイル使用メモリ 218,040 KB
最終ジャッジ日時 2025-01-25 12:23:05
ジャッジサーバーID
（参考情報） 		judge1 / judge4
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 3
other AC * 24
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ソースコード

diff #
プレゼンテーションモードにする

#include <bits/stdc++.h>
using namespace std;
 
 
namespace Rec{
    template<class Fun>
    class y_combinator_result {
        Fun fun_;
    public:
        template<class T>
        explicit y_combinator_result(T &&fun): fun_(std::forward<T>(fun)) {}
 
        template<class ...Args>
        decltype(auto) operator()(Args &&...args) {
            return fun_(std::ref(*this), std::forward<Args>(args)...);
        }
    };
 
    template<class Fun>
    decltype(auto) y_combinator(Fun &&fun) {
        return y_combinator_result<std::decay_t<Fun>>(std::forward<Fun>(fun));
    }
}
 
 
//fast IO by yosupo
struct Scanner {
    FILE* fp = nullptr;
    char line[(1 << 15) + 1];
    size_t st = 0, ed = 0;
    void reread() {
        memmove(line, line + st, ed - st);
        ed -= st;
        st = 0;
        ed += fread(line + ed, 1, (1 << 15) - ed, fp);
        line[ed] = '\0';
    }
    bool succ() {
        while (true) {
            if (st == ed) {
                reread();
                if (st == ed) return false;
            }
            while (st != ed && isspace(line[st])) st++;
            if (st != ed) break;
        }
        if (ed - st <= 50) reread();
        return true;
    }
    template <class T, enable_if_t<is_same<T, string>::value, int> = 0>
    bool read_single(T& ref) {
        if (!succ()) return false;
        while (true) {
            size_t sz = 0;
            while (st + sz < ed && !isspace(line[st + sz])) sz++;
            ref.append(line + st, sz);
            st += sz;
            if (!sz || st != ed) break;
            reread();            
        }
        return true;
    }
    template <class T, enable_if_t<is_integral<T>::value, int> = 0>
    bool read_single(T& ref) {
        if (!succ()) return false;
        bool neg = false;
        if (line[st] == '-') {
            neg = true;
            st++;
        }
        ref = T(0);
        while (isdigit(line[st])) {
            ref = 10 * ref + (line[st++] - '0');
        }
        if (neg) ref = -ref;
        return true;
    }
    template <class T> bool read_single(vector<T>& ref) {
        for (auto& d : ref) {
            if (!read_single(d)) return false;
        }
        return true;
    }
    void read() {}
    template <class H, class... T> void read(H& h, T&... t) {
        bool f = read_single(h);
        assert(f);
        read(t...);
    }
    Scanner(FILE* _fp) : fp(_fp) {}
};
 
struct Printer {
  public:
    template <bool F = false> void write() {}
    template <bool F = false, class H, class... T>
    void write(const H& h, const T&... t) {
        if (F) write_single(' ');
        write_single(h);
        write<true>(t...);
    }
    template <class... T> void writeln(const T&... t) {
        write(t...);
        write_single('\n');
    }
 
    Printer(FILE* _fp) : fp(_fp) {}
    ~Printer() { flush(); }
 
  private:
    static constexpr size_t SIZE = 1 << 15;
    FILE* fp;
    char line[SIZE], small[50];
    size_t pos = 0;
    void flush() {
        fwrite(line, 1, pos, fp);
        pos = 0;
    }
    void write_single(const char& val) {
        if (pos == SIZE) flush();
        line[pos++] = val;
    }
    template <class T, enable_if_t<is_integral<T>::value, int> = 0>
    void write_single(T val) {
        if (pos > (1 << 15) - 50) flush();
        if (val == 0) {
            write_single('0');
            return;
        }
        if (val < 0) {
            write_single('-');
            val = -val;  // todo min
        }
        size_t len = 0;
        while (val) {
            small[len++] = char('0' + (val % 10));
            val /= 10;
        }
        for (size_t i = 0; i < len; i++) {
            line[pos + i] = small[len - 1 - i];
        }
        pos += len;
    }
    void write_single(const string& s) {
        for (char c : s) write_single(c);
    }
    void write_single(const char* s) {
        size_t len = strlen(s);
        for (size_t i = 0; i < len; i++) write_single(s[i]);
    }
    template <class T> void write_single(const vector<T>& val) {
        auto n = val.size();
        for (size_t i = 0; i < n; i++) {
            if (i) write_single(' ');
            write_single(val[i]);
        }
    }
};
 
 
using ll=long long;
//#define int ll
 
#define rng(i,a,b) for(int i=int(a);i<=int(b);i++)
#define rep(i,b) rng(i,0,b-1)
#define gnr(i,b,a) for(int i=int(b);i>=int(a);i--)
#define per(i,b) gnr(i,b-1,0)
#define pb push_back
#define eb emplace_back
#define fi first
#define se second
#define bg begin()
#define ed end()
#define all(x) x.bg,x.ed
#define si(x) int(x.size())
#ifdef LOCAL
#define dmp(x) cerr<<__LINE__<<" "<<#x<<" "<<x<<endl
#else
#define dmp(x) void(0)
#endif
 
template<class t,class u> void chmax(t&a,u b){if(a<b)a=b;}
template<class t,class u> void chmin(t&a,u b){if(b<a)a=b;}
 
template<class t> using vc=vector<t>;
template<class t> using vvc=vc<vc<t>>;
 
using pii=pair<int,int>;
using vi=vc<int>;
 
template<class t,class u>
ostream& operator<<(ostream& os,const pair<t,u>& p){
    return os<<"{"<<p.a<<","<<p.b<<"}";
}
 
template<class t> ostream& operator<<(ostream& os,const vc<t>& v){
    os<<"{";
    for(auto e:v)os<<e<<",";
    return os<<"}";
}
 
#define mp make_pair
#define mt make_tuple
#define one(x) memset(x,-1,sizeof(x))
#define zero(x) memset(x,0,sizeof(x))
#ifdef LOCAL
void dmpr(ostream&os){os<<endl;}
template<class T,class... Args>
void dmpr(ostream&os,const T&t,const Args&... args){
    os<<t<<" ";
    dmpr(os,args...);
}
#define dmp2(...) dmpr(cerr,__LINE__,##__VA_ARGS__)
#else
#define dmp2(...) void(0)
#endif
 
using uint=unsigned;
using ull=unsigned long long;
using pil=pair<int,ll>;
using pli=pair<ll,int>;
using pll=pair<ll,ll>;
 
template<class t,size_t n>
ostream& operator<<(ostream&os,const array<t,n>&a){
    return os<<vc<t>(all(a));
}
 
template<int i,class T>
void print_tuple(ostream&,const T&){
}
 
template<int i,class T,class H,class ...Args>
void print_tuple(ostream&os,const T&t){
    if(i)os<<",";
    os<<get<i>(t);
    print_tuple<i+1,T,Args...>(os,t);
}
 
template<class ...Args>
ostream& operator<<(ostream&os,const tuple<Args...>&t){
    os<<"{";
    print_tuple<0,tuple<Args...>,Args...>(os,t);
    return os<<"}";
}
 
template<class t>
void print(t x,int suc=1){
    cout<<x;
    if(suc==1)
        cout<<"\n";
    if(suc==2)
        cout<<" ";
}
 
ll read(){
    ll i;
    cin>>i;
    return i;
}
 
vi readvi(int n,int off=0){
    vi v(n);
    rep(i,n)v[i]=read()+off;
    return v;
}
 
template<class T>
void print(const vector<T>&v,int suc=1){
    rep(i,v.size())
        print(v[i],i==int(v.size())-1?suc:2);
}
 
string readString(){
    string s;
    cin>>s;
    return s;
}
 
template<class T>
T sq(const T& t){
    return t*t;
}
 
//#define CAPITAL
void yes(bool ex=true){
    #ifdef CAPITAL
    cout<<"YES"<<"\n";
    #else
    cout<<"Yes"<<"\n";
    #endif
    if(ex)exit(0);
}
void no(bool ex=true){
    #ifdef CAPITAL
    cout<<"NO"<<"\n";
    #else
    cout<<"No"<<"\n";
    #endif
    if(ex)exit(0);
}
void possible(bool ex=true){
    #ifdef CAPITAL
    cout<<"POSSIBLE"<<"\n";
    #else
    cout<<"Possible"<<"\n";
    #endif
    if(ex)exit(0);
}
void impossible(bool ex=true){
    #ifdef CAPITAL
    cout<<"IMPOSSIBLE"<<"\n";
    #else
    cout<<"Impossible"<<"\n";
    #endif
    if(ex)exit(0);
}
 
constexpr ll ten(int n){
    return n==0?1:ten(n-1)*10;
}
 
const ll infLL=LLONG_MAX/3;
 
#ifdef int
const int inf=infLL;
#else
const int inf=INT_MAX/2-100;
#endif
 
int topbit(signed t){
    return t==0?-1:31-__builtin_clz(t);
}
int topbit(ll t){
    return t==0?-1:63-__builtin_clzll(t);
}
int botbit(signed a){
    return a==0?32:__builtin_ctz(a);
}
int botbit(ll a){
    return a==0?64:__builtin_ctzll(a);
}
int popcount(signed t){
    return __builtin_popcount(t);
}
int popcount(ll t){
    return __builtin_popcountll(t);
}
bool ispow2(int i){
    return i&&(i&-i)==i;
}
ll mask(int i){
    return (ll(1)<<i)-1;
}
 
template<class t>
bool inc(t a,t b,t c){
    return a<=b&&b<=c;
}
 
template<class t> void mkuni(vc<t>&v){
    sort(all(v));
    v.erase(unique(all(v)),v.ed);
}
 
ll rand_int(ll l, ll r) { //[l, r]
    #ifdef LOCAL
    static mt19937_64 gen;
    #else
    static mt19937_64 gen(chrono::steady_clock::now().time_since_epoch().count());
    #endif
    return uniform_int_distribution<ll>(l, r)(gen);
}
 
template<class t>
int lwb(const vc<t>&v,const t&a){
    return lower_bound(all(v),a)-v.bg;
}
 
struct modinfo{uint mod,root;};
template<modinfo const&ref>
struct modular{
    static constexpr uint const &mod=ref.mod;
    static modular root(){return modular(ref.root);}
    uint v;
    //modular(initializer_list<uint>ls):v(*ls.bg){}
    modular(ll vv=0){s(vv%mod+mod);}
    modular& s(uint vv){
        v=vv<mod?vv:vv-mod;
        return *this;
    }
    modular operator-()const{return modular()-*this;}
    modular& operator+=(const modular&rhs){return s(v+rhs.v);}
    modular&operator-=(const modular&rhs){return s(v+mod-rhs.v);}
    modular&operator*=(const modular&rhs){
        v=ull(v)*rhs.v%mod;
        return *this;
    }
    modular&operator/=(const modular&rhs){return *this*=rhs.inv();}
    modular operator+(const modular&rhs)const{return modular(*this)+=rhs;}
    modular operator-(const modular&rhs)const{return modular(*this)-=rhs;}
    modular operator*(const modular&rhs)const{return modular(*this)*=rhs;}
    modular operator/(const modular&rhs)const{return modular(*this)/=rhs;}
    modular pow(int n)const{
        modular res(1),x(*this);
        while(n){
            if(n&1)res*=x;
            x*=x;
            n>>=1;
        }
        return res;
    }
    modular inv()const{return pow(mod-2);}
    /*modular inv()const{
        int x,y;
        int g=extgcd(v,mod,x,y);
        assert(g==1);
        if(x<0)x+=mod;
        return modular(x);
    }*/
    friend modular operator+(int x,const modular&y){
        return modular(x)+y;
    }
    friend modular operator-(int x,const modular&y){
        return modular(x)-y;
    }
    friend modular operator*(int x,const modular&y){
        return modular(x)*y;
    }
    friend modular operator/(int x,const modular&y){
        return modular(x)/y;
    }
    friend ostream& operator<<(ostream&os,const modular&m){
        return os<<m.v;
    }
    friend istream& operator>>(istream&is,modular&m){
        ll x;is>>x;
        m=modular(x);
        return is;
    }
    bool operator<(const modular&r)const{return v<r.v;}
    bool operator==(const modular&r)const{return v==r.v;}
    bool operator!=(const modular&r)const{return v!=r.v;}
    explicit operator bool()const{
        return v;
    }
};
extern constexpr modinfo base{998244353,0};
using mint=modular<base>;
const int SZ = (1<<18);
mint po[SZ];
struct Tree{
    mint S[SZ+SZ];
    int K[SZ+SZ];
    void UDT(int nd){
        S[nd]=S[nd*2]+S[nd*2+1];
    }
    void init(int nd, int b, int e){
        if(b==e){
            S[nd]=1;
            return;
        }
        int m = (b+e)>>1;
        init(nd*2,b,m);
        init(nd*2+1,m+1,e);
        UDT(nd);
    }
    void Add2(int nd, int x){
        K[nd]+=x;
        S[nd]*= po[x];
    }
    void Spread(int nd){
        //printf("sp\n");
        Add2(nd*2,K[nd]);
        Add2(nd*2+1,K[nd]);
        K[nd]=0;
    }
    void Add(int nd, int b, int e, int s, int l, int x){
        if(s>l)return;
        if(s<=b&&e<=l){
            Add2(nd,x);
            return;
        }
        Spread(nd);
        int m = (b+e)>>1;
        if(s<=m)Add(nd*2,b,m,s,l,x);
        if(l>m)Add(nd*2+1,m+1,e,s,l,x);
        UDT(nd);
    }
    mint Sum(int nd, int b, int e, int s, int l){
        //printf("%d %d %d %d\n",b,e,s,l);
        if(s>l)return 0;
        if(s<=b&&e<=l)return S[nd];
        Spread(nd);
        int m = (b+e)>>1;
        mint r = 0;
        //printf("%d\n",nd);
        if(s<=m)r += Sum(nd*2,b,m,s,l);
        if(l>m)r += Sum(nd*2+1,m+1,e,s,l);
        //printf("o %d\n",nd);
        return r;
    }
    mint Get(int n, int a){
        mint t = Sum(1,1,n,a,n);
        mint z = Sum(1,1,n,a,a);
        //printf("%d %d\n",t.v,z.v);
        return t/z;
    }
}T1,T2;
int main(){
    cin.tie(0);
    ios::sync_with_stdio(0);
    cout<<fixed<<setprecision(20);
    
    Scanner sc(stdin);
    Printer pr(stdout);
    int n;
    po[0]=1;
    rep(i,SZ-1)po[i+1]=po[i]*2;
    sc.read(n);
    vi w(n+1);
    vc<pii>A;
    rng(i,1,n){
        sc.read(w[i]);
        A.pb({w[i],i});
    }
    sort(all(A));
    T1.init(1,1,n);
    T2.init(1,1,n);
    mint res=0;
    rep(i,n){
        int a = A[i].se;
        mint r1 = T1.Get(n,a);
        mint r2 = T2.Get(n,n-a+1);
        res += r1*r2*w[a];
        T1.Add(1,1,n,a,n,1);
        T2.Add(1,1,n,n-a+1,n,1);
    }
    printf("%d\n",res.v);
}
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