#838982 (C++17) No.2211 Frequency Table of GCD

• 問題: No.2211 Frequency Table of GCD
• ユーザー: hamath
• 提出日時: 2023-02-10 22:19:57
• 言語: C++17 (gcc 13.3.0 + boost 1.87.0)
• 結果: AC
• 実行時間: 1,027 ms / 2,000 ms
• コード長: 8,020 bytes
• コンパイル時間: 2,697 ms
• コンパイル使用メモリ: 225,292 KB
• 最終ジャッジ日時: 2025-02-10 12:57:24
• ジャッジサーバーID （参考情報）: judge4 / judge5

ファイルパターン	結果
sample	AC * 3
other	AC * 26

ソースコード

#ifdef LOCAL
//#define _GLIBCXX_DEBUG
#else
    #pragma GCC optimize("O3")
    #pragma GCC optimize("unroll-loops")
    //#pragma GCC target("avx512f,avx512dq,avx512cd,avx512bw,avx512vl")
#endif

#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
typedef pair<ll, ll> P;
typedef pair<int, int> Pi;
typedef vector<ll> Vec;
typedef vector<int> Vi;
typedef vector<string> Vs;
typedef vector<char> Vc;
typedef vector<P> VP;
typedef vector<VP> VVP;
typedef vector<Vec> VV;
typedef vector<Vi> VVi;
typedef vector<Vc> VVc;
typedef vector<VV> VVV;
typedef vector<VVV> VVVV;
#define MAKEVV(variable, a, ...) VV variable(a, Vec(__VA_ARGS__))
#define MAKEVVc(variable, a, ...) VVc variable(a,Vc(__VA_ARGS__))
#define MAKEVVV(variable, a, b, ...) VVV variable(a, VV(b, Vec(__VA_ARGS__)))
#define MAKEVVVV(variable, a, b, c, ...) VVVV variable(a, VVV(b, (VV(c, Vec(__VA_ARGS__)))))

#define endl '\n'
#define REP(i, a, b) for(ll i=(a); i<(b); i++)
#define PER(i, a, b) for(ll i=(a); i>=(b); i--)
#define rep(i, n) REP(i, 0, n)
#define per(i, n) PER(i, n, 0)
const ll INF = 4'000'000'000'000'000'010LL;
const ll MOD=998244353;
#define Yes(n) cout << ((n) ? "Yes" : "No") << endl;
#define YES(n) cout << ((n) ? "YES" : "NO") << endl;
#define ALL(v) v.begin(), v.end()
#define rALL(v) v.rbegin(), v.rend()
#define pb(x) push_back(x)
#define mp(a, b) make_pair(a,b)
#define Each(a,b) for(auto &a :b)
#define rEach(i, mp) for (auto i = mp.rbegin(); i != mp.rend(); ++i)
#define SUM(a) accumulate(ALL(a),0LL)
#ifdef LOCAL
#define dbg(x_) cerr << #x_ << ":" << x_ << endl;
#define dbgmap(mp) cerr << #mp << ":"<<endl; for (auto i = mp.begin(); i != mp.end(); ++i) { cerr << i->first <<":"<<i->second << endl;}
#define dbgset(st) cerr << #st << ":"<<endl; for (auto i = st.begin(); i != st.end(); ++i) { cerr << *i <<" ";}cerr<<endl;
#define dbgarr(n,m,arr) rep(iii,n){rep(jjj,m){cerr<<arr[iii][jjj]<<" ";}cerr<<endl;}
#define dbgdp(n,arr) rep(iii,n){cerr<<arr[iii]<<" ";}cerr<<endl;
#else
#define dbg(...)
#define dbgmap(...)
#define dbgset(...)
#define dbgarr(...)
#define dbgdp(...)
#endif
#define out(a) cout<<a<<endl
#define outminusone(a) cout<< ( a==INF ? -1 : a ) <<endl
#define out2(a,b) cout<<a<<" "<<b<<endl
#define vout(v) rep(i,v.size()){cout<<v[i]<<" ";}cout<<endl
#define Uniq(v) v.erase(unique(v.begin(), v.end()), v.end())
#define fi first
#define se second

template<class T>bool chmax(T &a, const T &b) { if (a<b) { a=b; return true; } return false; }
template<class T>bool chmin(T &a, const T &b) { if (b<a) { a=b; return true; } return false; }
template<class T>auto lb(T &X, ll x){return lower_bound(ALL(X),x) - X.begin();}
template<class T>auto ub(T &X, ll x){return upper_bound(ALL(X),x) - X.begin();}
ll popcnt(ll x){return __builtin_popcount(x);}
ll topbit(ll t){return t==0?-1:63-__builtin_clzll(t);}
ll floor(ll y,ll x){assert(x != 0);if(x < 0){y *= -1; x *= -1;}if(y < 0){return (y-x+1)/x;}return y/x;};
ll ceil(ll y, ll x){assert(x != 0);if(x < 0){y *= -1; x *= -1;}if(y < 0){return y/x;}return (y+x-1)/x;};

template<typename T1, typename T2>
ostream &operator<<(ostream &s, const pair<T1, T2> &p) { return s<<"("<<p.first<<", "<<p.second<<")"; }

template<typename T1, typename T2>
istream &operator>>(istream &i, pair<T1, T2> &p) { return i>>p.first>>p.second; }

template<typename T>istream& operator>>(istream&i,vector<T>&v)
{rep(j,v.size())i>>v[j];return i;}

// vector
template<typename T>
ostream &operator<<(ostream &s, const vector<T> &v) {
    int len=v.size();
    for(int i=0; i<len; ++i) {
        s<<v[i];
        if(i<len-1) s<<"	";
    }
    return s;
}

// 2 dimentional vector
template<typename T>
ostream &operator<<(ostream &s, const vector<vector<T> > &vv) {
    s<<endl;
    int len=vv.size();
    for(int i=0; i<len; ++i) {
        s<<vv[i]<<endl;
    }
    return s;
}

//mint
struct mint {
    ll x; // typedef long long ll;
    mint(ll x=0):x((x%MOD+MOD)%MOD){}
    mint operator-() const { return mint(-x);}
    mint& operator+=(const mint a) {
        if ((x += a.x) >= MOD) x -= MOD;
        return *this;
    }
    mint& operator-=(const mint a) {
        if ((x += MOD-a.x) >= MOD) x -= MOD;
        return *this;
    }
    mint& operator*=(const mint a) { (x *= a.x) %= MOD; return *this;}
    bool operator==(const mint a) const { return x == a.x;}
    mint operator+(const mint a) const { return mint(*this) += a;}
    mint operator-(const mint a) const { return mint(*this) -= a;}
    mint operator*(const mint a) const { return mint(*this) *= a;}
    mint pow(ll n) const {
        mint x = *this, r = 1;
        while (n) {
            if (n & 1) r *= x;
            x *= x;
            n >>= 1;
        }
        return r;
    }
    // for prime MOD
    mint inv() const { return pow(MOD-2);}
    mint& operator/=(const mint& a) { return *this *= a.inv();}
    mint operator/(const mint a) const { return mint(*this) /= a;}
};
istream& operator>>(istream& is, const mint& a) { return is >> a.x;}
ostream& operator<<(ostream& os, const mint& a) { return os << a.x;}
typedef vector<mint> Vmint;
typedef vector<Vmint> VVmint;
typedef vector<VVmint> VVVmint;
typedef vector<VVVmint> VVVVmint;
#define MAKEVVmint(variable, a, ...) VVmint variable(a,Vmint(__VA_ARGS__))
#define MAKEVVVmint(variable, a, b, ...) VVVmint variable(a, VVmint(b, Vmint(__VA_ARGS__)))
#define MAKEVVVVmint(variable, a, b, c, ...) VVVVmint variable(a, VVVmint(b, (VVmint(c, Vmint(__VA_ARGS__)))))
struct combination {
    vector<mint> fact, ifact;
    combination(int n):fact(n+1),ifact(n+1) {
        assert(n < MOD);
        fact[0] = 1;
        for (int i = 1; i <= n; ++i) fact[i] = fact[i-1]*i;
        ifact[n] = fact[n].inv();
        for (int i = n; i >= 1; --i) ifact[i-1] = ifact[i]*i;
    }
    mint operator()(int n, int k) {
        if (k < 0 || k > n) return 0;
        return fact[n]*ifact[k]*ifact[n-k];
    }
};


template<typename T>
vector<T> MAKETWO(ll sz){
    vector<T> res(sz+1);
    res[0] = 1;
    rep(i,sz){
        res[i+1] = res[i] * 2;
    }
    return res;
}


struct Osa_k {
private:
    std::vector<ll> v;
public:
    Osa_k(ll n) {
        assert(n >= 1);
        v.resize(n+1,-1);
        v[1] = 1;
        for(ll i = 2; i <= n; i++) {
            if (v[i] != -1) continue;
            for(ll j = i; j <= n; j += i) v[j] = i;
        }
    }
    VP prime_factorization(ll n) {
        assert(1 <= n && n < v.size());
        VP ret;
        while(n > 1) {
            if (ret.size() == 0 || ret.back().first != v[n]) {
                ret.push_back({v[n],1});
            }
            else {
                ret.back().second++;
            }
            n /= v[n];
        }
        return ret;
    }
};

vector<ll> divisor(ll n) {
    vector<ll> ret;
    for(ll i=1; i*i<=n; i++) {
        if(n%i==0) {
            ret.pb(i);
            if(i*i!=n) {
                ret.pb(n/i);
            }
        }
    }
    return ret;
}

vector<pair<ll,ll>> factorize(ll n) {
    vector<pair<ll,ll>> res;
    for (ll i = 2; i*i <= n; ++i) {
        if (n%i) continue;
        res.emplace_back(i,0);
        while (n%i == 0) {
            n /= i;
            res.back().second++;
        }
    }
    if (n != 1) res.emplace_back(n,1);
    return res;
}

int solve(){
    ll n;
    cin>>n;
    ll m;
    cin>>m;
    Vec a(n);
    cin>>a;
    Vec cnt(m+1);
    Vmint two = MAKETWO<mint>(n);
    rep(i,n){
        Vec div = divisor(a[i]);
        Each(d, div){
            cnt[d]++;
        }
    }
    dbg(cnt);
    Vmint ans(m+1);
    per(i,m){
        dbg(cnt[i]);
        mint tmp = two[cnt[i]]-1;
        REP(j,2,m+1){
            if(i*j > m)break;
            if(i == 1){
                dbg(j);
            }
            tmp -= ans[i*j];
        }
        ans[i] = tmp;
    }
    REP(i,1,m+1){
        out(ans[i]);
    }
    return  0;
}

int main() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    cout<<std::setprecision(20);
//    ll T;
//    cin>>T;
//    while(T--)
    solve();
}