#911466 (C++17) No.2498 OX Operations

• 問題: No.2498 OX Operations
• ユーザー: tko919
• 提出日時: 2023-09-08 02:44:28
• 言語: C++17 (gcc 13.3.0 + boost 1.87.0)
• 結果: MLE
• 実行時間: -
• コード長: 14,831 bytes
• コンパイル時間: 3,289 ms
• コンパイル使用メモリ: 223,244 KB
• 最終ジャッジ日時: 2025-02-16 19:20:45
• ジャッジサーバーID （参考情報）: judge2 / judge1

ファイルパターン	結果
sample	AC * 4
other	AC * 11 TLE * 2 MLE * 10

ソースコード

#line 1 "library/Template/template.hpp"
#include <bits/stdc++.h>
using namespace std;

#define rep(i,a,b) for(int i=(int)(a);i<(int)(b);i++)
#define ALL(v) (v).begin(),(v).end()
#define UNIQUE(v) sort(ALL(v)),(v).erase(unique(ALL(v)),(v).end())
#define MIN(v) *min_element(ALL(v))
#define MAX(v) *max_element(ALL(v))
#define LB(v,x) lower_bound(ALL(v),(x))-(v).begin()
#define UB(v,x) upper_bound(ALL(v),(x))-(v).begin()

using ll=long long int;
const int inf = 0x3fffffff;
const ll INF = 0x1fffffffffffffff;

template<typename T>inline bool chmax(T& a,T b){if(a<b){a=b;return 1;}return 0;}
template<typename T>inline bool chmin(T& a,T b){if(a>b){a=b;return 1;}return 0;}
template<typename T,typename U>T ceil(T x,U y){assert(y!=0); if(y<0)x=-x,y=-y; return (x>0?(x+y-1)/y:x/y);}
template<typename T,typename U>T floor(T x,U y){assert(y!=0); if(y<0)x=-x,y=-y; return (x>0?x/y:(x-y+1)/y);}
template<typename T>int popcnt(T x){return __builtin_popcountll(x);}
template<typename T>int topbit(T x){return (x==0?-1:63-__builtin_clzll(x));}
template<typename T>int lowbit(T x){return (x==0?-1:__builtin_ctzll(x));}
#line 2 "library/Utility/fastio.hpp"
#include <unistd.h>

class FastIO{
    static constexpr int L=1<<16;
    char rdbuf[L];
    int rdLeft=0,rdRight=0;
    inline void reload(){
        int len=rdRight-rdLeft;
        memmove(rdbuf,rdbuf+rdLeft,len);
        rdLeft=0,rdRight=len;
        rdRight+=fread(rdbuf+len,1,L-len,stdin);
    }
    inline bool skip(){
        for(;;){
            while(rdLeft!=rdRight and rdbuf[rdLeft]<=' ')rdLeft++;
            if(rdLeft==rdRight){
                reload();
                if(rdLeft==rdRight)return false;
            }
            else break;
        }
        return true;
    }
    template<typename T,enable_if_t<is_integral<T>::value,int> =0>inline bool _read(T& x){
        if(!skip())return false;
        if(rdLeft+20>=rdRight)reload();
        bool neg=false;
        if(rdbuf[rdLeft]=='-'){
            neg=true;
            rdLeft++;
        }
        x=0;
        while(rdbuf[rdLeft]>='0' and rdLeft<rdRight){
            x=x*10+(neg?-(rdbuf[rdLeft++]^48):(rdbuf[rdLeft++]^48));
        }
        return true;
    }
    inline bool _read(__int128_t& x){
        if(!skip())return false;
        if(rdLeft+40>=rdRight)reload();
        bool neg=false;
        if(rdbuf[rdLeft]=='-'){
            neg=true;
            rdLeft++;
        }
        x=0;
        while(rdbuf[rdLeft]>='0' and rdLeft<rdRight){
            x=x*10+(neg?-(rdbuf[rdLeft++]^48):(rdbuf[rdLeft++]^48));
        }
        return true;
    }
    inline bool _read(__uint128_t& x){
        if(!skip())return false;
        if(rdLeft+40>=rdRight)reload();
        x=0;
        while(rdbuf[rdLeft]>='0' and rdLeft<rdRight){
            x=x*10+(rdbuf[rdLeft++]^48);
        }
        return true;
    }
    template<typename T,enable_if_t<is_floating_point<T>::value,int> =0>inline bool _read(T& x){
        if(!skip())return false;
        if(rdLeft+20>=rdRight)reload();
        bool neg=false;
        if(rdbuf[rdLeft]=='-'){
            neg=true;
            rdLeft++;
        }
        x=0;
        while(rdbuf[rdLeft]>='0' and rdbuf[rdLeft]<='9' and rdLeft<rdRight){
            x=x*10+(rdbuf[rdLeft++]^48);
        }
        if(rdbuf[rdLeft]!='.')return true;
        rdLeft++;
        T base=.1;
        while(rdbuf[rdLeft]>='0' and rdbuf[rdLeft]<='9' and rdLeft<rdRight){
            x+=base*(rdbuf[rdLeft++]^48);
            base*=.1;
        }
        if(neg)x=-x;
        return true;
    }
    inline bool _read(char& x){
        if(!skip())return false;
        if(rdLeft+1>=rdRight)reload();
        x=rdbuf[rdLeft++];
        return true;
    }
    inline bool _read(string& x){
        if(!skip())return false;
        for(;;){
            int pos=rdLeft;
            while(pos<rdRight and rdbuf[pos]>' ')pos++;
            x.append(rdbuf+rdLeft,pos-rdLeft);
            if(rdLeft==pos)break;
            rdLeft=pos;
            if(rdLeft==rdRight)reload();
            else break;
        }
        return true;
    }
    template<typename T>inline bool _read(vector<T>& v){
        for(auto& x:v){
            if(!_read(x))return false;
        }
        return true;
    }

    char wtbuf[L],tmp[50];
    int wtRight=0;
    inline void flush(){
        fwrite(wtbuf,1,wtRight,stdout);
        wtRight=0;
    }
    inline void _write(const char& x){
        if(wtRight>L-32)flush();
        wtbuf[wtRight++]=x;
    }
    inline void _write(const string& x){
        for(auto& c:x)_write(c);
    }
    template<typename T,enable_if_t<is_integral<T>::value,int> =0>inline void _write(T x){
        if(wtRight>L-32)flush();
        if(x==0){
            _write('0');
            return;
        }
        else if(x<0){
            _write('-');
            if (__builtin_expect(x == std::numeric_limits<T>::min(), 0)) {
                switch (sizeof(x)) {
                case 2: _write("32768"); return;
                case 4: _write("2147483648"); return;
                case 8: _write("9223372036854775808"); return;
                }
            }
            x=-x;
        }
        int pos=0;
        while(x!=0){
            tmp[pos++]=char((x%10)|48);
            x/=10;
        }
        rep(i,0,pos)wtbuf[wtRight+i]=tmp[pos-1-i];
        wtRight+=pos;
    }
    inline void _write(__int128_t x){
        if(wtRight>L-40)flush();
        if(x==0){
            _write('0');
            return;
        }
        else if(x<0){
            _write('-');
            x=-x;
        }
        int pos=0;
        while(x!=0){
            tmp[pos++]=char((x%10)|48);
            x/=10;
        }
        rep(i,0,pos)wtbuf[wtRight+i]=tmp[pos-1-i];
        wtRight+=pos;
    }
    inline void _write(__uint128_t x){
        if(wtRight>L-40)flush();
        if(x==0){
            _write('0');
            return;
        }
        int pos=0;
        while(x!=0){
            tmp[pos++]=char((x%10)|48);
            x/=10;
        }
        rep(i,0,pos)wtbuf[wtRight+i]=tmp[pos-1-i];
        wtRight+=pos;
    }
    template<typename T>inline void _write(const vector<T>& v){
        rep(i,0,v.size()){
            if(i)_write(' ');
            _write(v[i]);
        }
    }
public:
    FastIO(){}
    ~FastIO(){flush();}
    inline void read(){}
    template <typename Head, typename... Tail>inline void read(Head& head,Tail&... tail){
        assert(_read(head));
        read(tail...); 
    }
    template<bool ln=true,bool space=false>inline void write(){if(ln)_write('\n');}
    template <bool ln=true,bool space=false,typename Head, typename... Tail>inline void write(const Head& head,const Tail&... tail){
        if(space)_write(' ');
        _write(head);
        write<ln,true>(tail...); 
    }
};

/**
 * @brief Fast IO
 */
#line 3 "sol.cpp"

#line 2 "library/Math/modint.hpp"

template<int mod=1000000007>struct fp {
    int v;
    static constexpr int get_mod(){return mod;}
    int inv() const{
        int tmp,a=v,b=mod,x=1,y=0;
        while(b)tmp=a/b,a-=tmp*b,swap(a,b),x-=tmp*y,swap(x,y);
        if(x<0){x+=mod;} return x;
    }
    fp(ll x=0){init(x%mod+mod);}
    fp& init(ll x){v=(x<mod?x:x-mod); return *this;}
    fp operator-()const{return fp()-*this;}
    fp pow(ll t){assert(t>=0); fp res=1,b=*this; while(t){if(t&1)res*=b;b*=b;t>>=1;} return res;}
    fp& operator+=(const fp& x){return init(v+x.v);}
    fp& operator-=(const fp& x){return init(v+mod-x.v);}
    fp& operator*=(const fp& x){v=ll(v)*x.v%mod; return *this;}
    fp& operator/=(const fp& x){v=ll(v)*x.inv()%mod; return *this;}
    fp operator+(const fp& x)const{return fp(*this)+=x;}
    fp operator-(const fp& x)const{return fp(*this)-=x;}
    fp operator*(const fp& x)const{return fp(*this)*=x;}
    fp operator/(const fp& x)const{return fp(*this)/=x;}
    bool operator==(const fp& x)const{return v==x.v;}
    bool operator!=(const fp& x)const{return v!=x.v;}
    friend istream& operator>>(istream& is,fp& x){return is>>x.v;}
    friend ostream& operator<<(ostream& os,const fp& x){return os<<x.v;}
};

/**
 * @brief Modint
 */
#line 5 "sol.cpp"
using Fp=fp<998244353>;
#line 2 "library/DataStructure/segtreebeats.hpp"

struct Segtreebeats{
    struct state{
        ll maxx=-INF,smax=-INF,cmax=0,lmax=-INF;
        ll minn=INF,smin=INF,cmin=0,lmin=INF;
        ll sum=0,add=0; int len=1;
        state(){}
        state(ll val):maxx(val),cmax(1),minn(val),cmin(1),sum(val){}
    };
    int n; vector<state> val;
    Segtreebeats(int _n):Segtreebeats(vector<ll>(_n,0)){}
    Segtreebeats(const vector<ll>& a){
        for(n=1;n<(int)a.size();n<<=1);
        val.assign(2*n,state());
        rep(i,0,a.size())val[i+n]=state(a[i]);
        for(int i=n-1;i;i--)apply(i);
    }
    void apply(int k){
        state &x=val[k],&lb=val[2*k],&rb=val[2*k+1];
        if(lb.minn<rb.minn)x.minn=lb.minn,x.cmin=lb.cmin,x.smin=min(lb.smin,rb.minn);
        else if(lb.minn>rb.minn)x.minn=rb.minn,x.cmin=rb.cmin,x.smin=min(rb.smin,lb.minn);
        else x.minn=lb.minn,x.cmin=lb.cmin+rb.cmin,x.smin=min(lb.smin,rb.smin);
        if(lb.maxx>rb.maxx)x.maxx=lb.maxx,x.cmax=lb.cmax,x.smax=max(lb.smax,rb.maxx);
        else if(lb.maxx<rb.maxx)x.maxx=rb.maxx,x.cmax=rb.cmax,x.smax=max(rb.smax,lb.maxx);
        else x.maxx=lb.maxx,x.cmax=lb.cmax+rb.cmax,x.smax=max(lb.smax,rb.smax);
        x.len=lb.len+rb.len; x.sum=lb.sum+rb.sum;
    }
    void eval(int k){
        state &x=val[k],&lb=(k<n?val[2*k]:val[0]),&rb=(k<n?val[2*k+1]:val[0]);
        if(x.add){
            if(lb.lmax!=-INF)lb.lmax+=x.add;
            if(lb.lmin!=INF)lb.lmin+=x.add;
            if(rb.lmax!=-INF)rb.lmax+=x.add;
            if(rb.lmin!=INF)rb.lmin+=x.add;
            lb.add+=x.add; rb.add+=x.add;
            x.minn+=x.add;
            if(x.smin!=INF)x.smin+=x.add;
            x.maxx+=x.add;
            if(x.smax!=-INF)x.smax+=x.add;
            x.sum+=x.len*x.add; x.add=0;
        }
        if(x.lmax!=-INF){
            chmax(lb.lmax,x.lmax);
            chmax(lb.lmin,x.lmax);
            chmax(rb.lmax,x.lmax);
            chmax(rb.lmin,x.lmax);
            if(x.lmax>=x.smin){eval(k*2); eval(k*2+1); apply(k);}
            else if(x.lmax>x.minn){
                x.sum+=x.cmin*(x.lmax-x.minn);
                if(x.smax==x.minn)x.smax=x.lmax;
                if(x.maxx==x.minn)x.maxx=x.lmax;
                x.minn=x.lmax;
            } x.lmax=-INF;
        }
        if(x.lmin!=INF){
            chmin(lb.lmax,x.lmin);
            chmin(lb.lmin,x.lmin);
            chmin(rb.lmax,x.lmin);
            chmin(rb.lmin,x.lmin);
            if(x.lmin<=x.smax){eval(k*2); eval(k*2+1); apply(k);}
            else if(x.lmin<x.maxx){
                x.sum+=x.cmax*(x.lmin-x.maxx);
                if(x.smin==x.maxx)x.smin=x.lmin;
                if(x.minn==x.maxx)x.minn=x.lmin;
                x.maxx=x.lmin;
            } x.lmin=INF;
        }
    }
    void range_add(int a,int b,ll c,int k=1,int l=0,int r=-1){
        if(r<0)r=n; eval(k);
        if(b<=l||a>=r)return;
        if(b>=r&&a<=l){
            val[k].add=c; eval(k);
        }else{
            range_add(a,b,c,k*2,l,(l+r)/2);
            range_add(a,b,c,k*2+1,(l+r)/2,r);
            apply(k);
        }
    }
    void range_chmin(int a,int b,ll c,int k=1,int l=0,int r=-1){
        if(r<0)r=n; eval(k);
        if(b<=l||a>=r)return;
        if(b>=r&&a<=l){
            val[k].lmin=c; eval(k);
        }else{
            range_chmin(a,b,c,k*2,l,(l+r)/2);
            range_chmin(a,b,c,k*2+1,(l+r)/2,r);
            apply(k);
        }
    }
    void range_chmax(int a,int b,ll c,int k=1,int l=0,int r=-1){
        if(r<0)r=n; eval(k);
        if(b<=l||a>=r)return;
        if(b>=r&&a<=l){
            val[k].lmax=c; eval(k);
        }else{
            range_chmax(a,b,c,k*2,l,(l+r)/2);
            range_chmax(a,b,c,k*2+1,(l+r)/2,r);
            apply(k);
        }
    }
    ll query_max(int a,int b,int k=1,int l=0,int r=-1){
        if(r<0)r=n; eval(k);
        if(b<=l||a>=r)return -INF;
        if(b>=r&&a<=l)return val[k].maxx;
        else{
            ll res=max(query_max(a,b,k*2,l,(l+r)/2),query_max(a,b,k*2+1,(l+r)/2,r));
            return res;
        }
    }
    ll query_min(int a,int b,int k=1,int l=0,int r=-1){
        if(r<0)r=n; eval(k);
        if(b<=l||a>=r)return INF;
        if(b>=r&&a<=l)return val[k].minn;
        else{
            ll res=min(query_min(a,b,k*2,l,(l+r)/2),query_min(a,b,k*2+1,(l+r)/2,r));
            return res;
        }
    }
    ll query_sum(int a,int b,int k=1,int l=0,int r=-1){
        if(r<0)r=n; eval(k);
        if(b<=l||a>=r)return 0;
        if(b>=r&&a<=l)return val[k].sum;
        else{
            ll res=query_sum(a,b,k*2,l,(l+r)/2)+query_sum(a,b,k*2+1,(l+r)/2,r);
            return res;
        }
    }
};

/**
 * @brief Segment Tree Beats
 */
#line 7 "sol.cpp"

FastIO io;
int main(){
    int n,q;
    io.read(n,q);
    vector<int> a(n);
    io.read(a);
    
    vector Z(30,Segtreebeats(n));
    vector O(30,Segtreebeats(n));
    rep(k,0,30)O[k].range_chmax(0,n,1);
    
    // vector<int> _z(n),_o(n,(1<<30)-1);

    rep(i,0,q){
        char c;
        int L,R,x;
        io.read(c,L,R,x);
        L--;
        if(c=='o'){
            rep(k,0,30)if(x>>k&1){
                Z[k].range_chmax(L,R,1);
                O[k].range_chmax(L,R,1);
            }

            // rep(i,L,R)_z[i]|=x,_o[i]|=x;
        }
        else{
            rep(k,0,30)if(x>>k&1){
                Z[k].range_add(L,R,-1);
                O[k].range_add(L,R,-1);
            }
            
            // rep(i,L,R)_z[i]^=x,_o[i]^=x;
        }
    }

    vector<int> zero(n),one(n);
    rep(i,0,n){
        rep(k,0,30){
            if(Z[k].query_sum(i,i+1)&1)zero[i]|=(1<<k);
            if(O[k].query_sum(i,i+1)&1)one[i]|=(1<<k);
        }
    }

    // io.write(zero);
    // io.write(_z);
    // return 0;

    vector calc(n,vector<Fp>(32));
    rep(i,0,n){
        Fp dp[32][32][2];
        dp[30][0][0]=1;
        for(int keta=29;keta>=0;keta--){
            rep(cnt,0,31){
                int ai=a[i]>>keta&1;
                rep(flag,0,2){
                    rep(nxt,0,2){
                        if(flag==0 and ai<nxt)continue;
                        int nf=flag;
                        if(ai>nxt)nf=1;
                        int add=0;
                        if(nxt==0)add=zero[i]>>keta&1;
                        else add=one[i]>>keta&1;
                        dp[keta][cnt+add][nf]+=dp[keta+1][cnt][flag];
                    }
                }
            }
        }
        rep(cnt,0,32)rep(flag,0,2)calc[i][cnt]+=dp[0][cnt][flag];
    }

    Fp ret,pre;
    rep(k,0,31){
        Fp sub=1;
        rep(i,0,n){
            Fp sum;
            rep(cnt,0,k+1)sum+=calc[i][cnt];
            sub*=sum;
        }

        ret+=(sub-pre)*k;
        pre=sub;
    }
    io.write(ret.v);
    
    return 0;
}