結果

問題 No.2498 OX Operations
ユーザー tko919tko919
提出日時 2023-09-08 03:06:13
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 1,417 ms / 4,000 ms
コード長 11,147 bytes
コンパイル時間 2,434 ms
コンパイル使用メモリ 216,552 KB
実行使用メモリ 22,912 KB
最終ジャッジ日時 2024-06-25 20:15:28
合計ジャッジ時間 18,355 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge2
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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 2 ms
6,812 KB
testcase_01 AC 2 ms
6,940 KB
testcase_02 AC 2 ms
6,940 KB
testcase_03 AC 2 ms
6,944 KB
testcase_04 AC 2 ms
6,944 KB
testcase_05 AC 2 ms
6,940 KB
testcase_06 AC 2 ms
6,940 KB
testcase_07 AC 2 ms
6,944 KB
testcase_08 AC 3 ms
6,940 KB
testcase_09 AC 2 ms
6,940 KB
testcase_10 AC 2 ms
6,944 KB
testcase_11 AC 3 ms
6,944 KB
testcase_12 AC 8 ms
6,940 KB
testcase_13 AC 6 ms
6,940 KB
testcase_14 AC 10 ms
6,940 KB
testcase_15 AC 1,092 ms
19,200 KB
testcase_16 AC 1,225 ms
20,736 KB
testcase_17 AC 1,050 ms
18,688 KB
testcase_18 AC 1,383 ms
22,780 KB
testcase_19 AC 1,371 ms
22,884 KB
testcase_20 AC 1,391 ms
22,912 KB
testcase_21 AC 1,383 ms
22,656 KB
testcase_22 AC 456 ms
9,216 KB
testcase_23 AC 359 ms
7,936 KB
testcase_24 AC 1,399 ms
22,912 KB
testcase_25 AC 1,398 ms
22,784 KB
testcase_26 AC 1,417 ms
22,912 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 # 

#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/dualsegtree.hpp"

template<typename M,M (*f)(M,M),M (*m1)()>class DualSegmentTree{
    int sz,height;
    vector<M> data;
    void down(int k){
        data[k*2]=f(data[k*2],data[k]);
        data[k*2+1]=f(data[k*2+1],data[k]);
        data[k]=m1();
    }
public:
    DualSegmentTree(){}
    DualSegmentTree(int n){
        sz=1,height=0;
        while(sz<n)sz<<=1,height++;
        data.assign(2*sz,m1());
    }
    void run(vector<M>& v){
        for(int i=0;i<(int)v.size();i++)data[i+sz]=v[i];
    }
    void update(int a,int b,M x){
        if(a>=b)return;
        a+=sz,b+=sz;
        for(int i=height;i;i--){
            if(((a>>i)<<i)!=a)down(a>>i);
            if(((b>>i)<<i)!=b)down((b-1)>>i);
        }
        for(;a<b;a>>=1,b>>=1){
            if(a&1)data[a]=f(data[a],x),a++;
            if(b&1)--b,data[b]=f(data[b],x);
        }
    }
    M query(int k){
        k+=sz;
        for(int i=height;i;i--){
            if(((k>>i)<<i)!=k)down(k>>i);
        }
        M ret=data[k];
        while(k>>=1)ret=f(ret,data[k]);
        return ret;
    }
};

/**
 * @brief Dual Segment Tree
 */
#line 8 "sol.cpp"

using P=pair<int,int>;
int ALL=(1<<30)-1;

P f(P a,P b){
    return P{(~a.first&b.first)|(a.first&b.second),(~a.second&b.first)|(a.second&b.second)};
}

P m1(){
    return P{0,ALL};
}

FastIO io;
int main(){
    int n,q;
    io.read(n,q);
    vector<int> a(n);
    io.read(a);
    
    DualSegmentTree<P,f,m1> seg(n);

    // 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'){
            seg.update(L,R,P{x,ALL});

            // rep(i,L,R)_z[i]|=x,_o[i]|=x;
        }
        else{
            seg.update(L,R,P{x,ALL^x});
            
            // rep(i,L,R)_z[i]^=x,_o[i]^=x;
        }
    }

    vector<int> zero(n),one(n);
    rep(i,0,n){
        auto [x1,x2]=seg.query(i);
        zero[i]=x1,one[i]=x2;
    }

    // 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;
}
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