#936864 (C++17) No.2578 Jewelry Store

• 問題: No.2578 Jewelry Store
• ユーザー: siro53
• 提出日時: 2023-12-06 14:47:08
• 言語: C++17 (gcc 12.3.0 + boost 1.83.0)
• 結果: TLE
• 実行時間: -
• コード長: 17,405 bytes
• コンパイル時間: 4,320 ms
• コンパイル使用メモリ: 250,276 KB
• 実行使用メモリ: 8,832 KB
• 最終ジャッジ日時: 2024-09-27 01:23:27
• 合計ジャッジ時間: 13,642 ms
• ジャッジサーバーID （参考情報）: judge1 / judge5

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	2 ms; 5,248 KB
testcase_01	AC	2 ms; 5,376 KB
testcase_02	AC	27 ms; 5,376 KB
testcase_03	AC	10 ms; 5,376 KB
testcase_04	AC	10 ms; 5,376 KB
testcase_05	AC	8 ms; 5,376 KB
testcase_06	AC	30 ms; 5,376 KB
testcase_07	AC	11 ms; 5,376 KB
testcase_08	AC	11 ms; 5,376 KB
testcase_09	AC	10 ms; 5,376 KB
testcase_10	AC	11 ms; 5,376 KB
testcase_11	AC	7 ms; 5,376 KB
testcase_12	AC	10 ms; 5,376 KB
testcase_13	AC	7 ms; 5,376 KB
testcase_14	AC	7 ms; 5,376 KB
testcase_15	AC	7 ms; 5,376 KB
testcase_16	AC	11 ms; 5,376 KB
testcase_17	AC	10 ms; 5,376 KB
testcase_18	AC	6 ms; 5,376 KB
testcase_19	AC	37 ms; 5,376 KB
testcase_20	AC	10 ms; 5,376 KB
testcase_21	AC	12 ms; 5,376 KB
testcase_22	AC	75 ms; 5,376 KB
testcase_23	AC	1,789 ms; 5,376 KB
testcase_24	AC	222 ms; 5,376 KB
testcase_25	AC	446 ms; 5,376 KB
testcase_26	AC	67 ms; 5,376 KB
testcase_27	AC	250 ms; 5,376 KB
testcase_28	TLE	-
testcase_29	--	-
testcase_30	--	-
testcase_31	--	-
testcase_32	--	-
testcase_33	--	-
testcase_34	--	-
testcase_35	--	-
testcase_36	--	-
testcase_37	--	-
testcase_38	--	-
testcase_39	--	-
testcase_40	--	-
testcase_41	--	-
testcase_42	--	-
testcase_43	--	-
testcase_44	--	-
testcase_45	--	-
testcase_46	--	-
testcase_47	--	-
testcase_48	--	-
testcase_49	--	-
testcase_50	--	-
testcase_51	--	-
testcase_52	--	-
testcase_53	--	-

ソースコード

#pragma GCC target("avx2")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#line 1 "combined.cpp"
#pragma region Macros
#include <bits/stdc++.h>
using namespace std;
// input output utils
namespace siro53_io {
    // https://maspypy.github.io/library/other/io_old.hpp
    struct has_val_impl {
        template <class T>
        static auto check(T &&x) -> decltype(x.val(), std::true_type{});

        template <class T> static auto check(...) -> std::false_type;
    };

    template <class T>
    class has_val : public decltype(has_val_impl::check<T>(std::declval<T>())) {
    };

    // debug
    template <class T, enable_if_t<is_integral<T>::value, int> = 0>
    void dump(const T t) {
        cerr << t;
    }
    template <class T, enable_if_t<is_floating_point<T>::value, int> = 0>
    void dump(const T t) {
        cerr << t;
    }
    template <class T, typename enable_if<has_val<T>::value>::type * = nullptr>
    void dump(const T &t) {
        cerr << t.val();
    }
    void dump(__int128_t n) {
        if(n == 0) {
            cerr << '0';
            return;
        } else if(n < 0) {
            cerr << '-';
            n = -n;
        }
        string s;
        while(n > 0) {
            s += (char)('0' + n % 10);
            n /= 10;
        }
        reverse(s.begin(), s.end());
        cerr << s;
    }
    void dump(const string &s) { cerr << s; }
    void dump(const char *s) {
        int n = (int)strlen(s);
        for(int i = 0; i < n; i++) cerr << s[i];
    }
    template <class T1, class T2> void dump(const pair<T1, T2> &p) {
        cerr << '(';
        dump(p.first);
        cerr << ',';
        dump(p.second);
        cerr << ')';
    }
    template <class T> void dump(const vector<T> &v) {
        cerr << '{';
        for(int i = 0; i < (int)v.size(); i++) {
            dump(v[i]);
            if(i < (int)v.size() - 1) cerr << ',';
        }
        cerr << '}';
    }
    template <class T> void dump(const set<T> &s) {
        cerr << '{';
        for(auto it = s.begin(); it != s.end(); it++) {
            dump(*it);
            if(next(it) != s.end()) cerr << ',';
        }
        cerr << '}';
    }
    template <class Key, class Value> void dump(const map<Key, Value> &mp) {
        cerr << '{';
        for(auto it = mp.begin(); it != mp.end(); it++) {
            dump(*it);
            if(next(it) != mp.end()) cerr << ',';
        }
        cerr << '}';
    }
    template <class Key, class Value>
    void dump(const unordered_map<Key, Value> &mp) {
        cerr << '{';
        for(auto it = mp.begin(); it != mp.end(); it++) {
            dump(*it);
            if(next(it) != mp.end()) cerr << ',';
        }
        cerr << '}';
    }
    template <class T> void dump(const deque<T> &v) {
        cerr << '{';
        for(int i = 0; i < (int)v.size(); i++) {
            dump(v[i]);
            if(i < (int)v.size() - 1) cerr << ',';
        }
        cerr << '}';
    }
    template <class T> void dump(queue<T> q) {
        cerr << '{';
        while(!q.empty()) {
            dump(q.front());
            if((int)q.size() > 1) cerr << ',';
            q.pop();
        }
        cerr << '}';
    }

    void debug_print() { cerr << endl; }
    template <class Head, class... Tail>
    void debug_print(const Head &h, const Tail &...t) {
        dump(h);
        if(sizeof...(Tail)) dump(' ');
        debug_print(t...);
    }
    // print
    template <class T, enable_if_t<is_integral<T>::value, int> = 0>
    void print_single(const T t) {
        cout << t;
    }
    template <class T, enable_if_t<is_floating_point<T>::value, int> = 0>
    void print_single(const T t) {
        cout << t;
    }
    template <class T, typename enable_if<has_val<T>::value>::type * = nullptr>
    void print_single(const T t) {
        cout << t.val();
    }
    void print_single(__int128_t n) {
        if(n == 0) {
            cout << '0';
            return;
        } else if(n < 0) {
            cout << '-';
            n = -n;
        }
        string s;
        while(n > 0) {
            s += (char)('0' + n % 10);
            n /= 10;
        }
        reverse(s.begin(), s.end());
        cout << s;
    }
    void print_single(const string &s) { cout << s; }
    void print_single(const char *s) {
        int n = (int)strlen(s);
        for(int i = 0; i < n; i++) cout << s[i];
    }
    template <class T1, class T2> void print_single(const pair<T1, T2> &p) {
        print_single(p.first);
        cout << ' ';
        print_single(p.second);
    }
    template <class T> void print_single(const vector<T> &v) {
        for(int i = 0; i < (int)v.size(); i++) {
            print_single(v[i]);
            if(i < (int)v.size() - 1) cout << ' ';
        }
    }
    template <class T> void print_single(const set<T> &s) {
        for(auto it = s.begin(); it != s.end(); it++) {
            print_single(*it);
            if(next(it) != s.end()) cout << ' ';
        }
    }
    template <class T> void print_single(const deque<T> &v) {
        for(int i = 0; i < (int)v.size(); i++) {
            print_single(v[i]);
            if(i < (int)v.size() - 1) cout << ' ';
        }
    }
    template <class T> void print_single(queue<T> q) {
        while(!q.empty()) {
            print_single(q.front());
            if((int)q.size() > 1) cout << ' ';
            q.pop();
        }
    }

    void print() { cout << '\n'; }
    template <class Head, class... Tail>
    void print(const Head &h, const Tail &...t) {
        print_single(h);
        if(sizeof...(Tail)) print_single(' ');
        print(t...);
    }

    // input
    template <class T, enable_if_t<is_integral<T>::value, int> = 0>
    void input_single(T &t) {
        cin >> t;
    }
    template <class T, enable_if_t<is_floating_point<T>::value, int> = 0>
    void input_single(T &t) {
        cin >> t;
    }
    template <class T, typename enable_if<has_val<T>::value>::type * = nullptr>
    void input_single(T &t) {
        cin >> t;
    }
    void input_single(__int128_t &n) {
        string s;
        cin >> s;
        if(s == "0") {
            n = 0;
            return;
        }
        bool is_minus = false;
        if(s[0] == '-') {
            s = s.substr(1);
            is_minus = true;
        }
        n = 0;
        for(int i = 0; i < (int)s.size(); i++) n = n * 10 + (int)(s[i] - '0');
        if(is_minus) n = -n;
    }
    void input_single(string &s) { cin >> s; }
    template <class T1, class T2> void input_single(pair<T1, T2> &p) {
        input_single(p.first);
        input_single(p.second);
    }
    template <class T> void input_single(vector<T> &v) {
        for(auto &e : v) input_single(e);
    }
    void input() {}
    template <class Head, class... Tail> void input(Head &h, Tail &...t) {
        input_single(h);
        input(t...);
    }
}; // namespace siro53_io
#ifdef DEBUG
#define debug(...)                                                             \
    cerr << __LINE__ << " [" << #__VA_ARGS__ << "]: ", debug_print(__VA_ARGS__)
#else
#define debug(...) (void(0))
#endif
// io setup
struct Setup {
    Setup() {
        cin.tie(0);
        ios::sync_with_stdio(false);
        cout << fixed << setprecision(15);
    }
} __Setup;
using namespace siro53_io;
// types
using ll = long long;
using i128 = __int128_t;
// input macros
#define INT(...)                                                               \
    int __VA_ARGS__;                                                           \
    input(__VA_ARGS__)
#define LL(...)                                                                \
    ll __VA_ARGS__;                                                            \
    input(__VA_ARGS__)
#define STRING(...)                                                            \
    string __VA_ARGS__;                                                        \
    input(__VA_ARGS__)
#define CHAR(...)                                                              \
    char __VA_ARGS__;                                                          \
    input(__VA_ARGS__)
#define DBL(...)                                                               \
    double __VA_ARGS__;                                                        \
    input(__VA_ARGS__)
#define LD(...)                                                                \
    long double __VA_ARGS__;                                                   \
    input(__VA_ARGS__)
#define UINT(...)                                                              \
    unsigned int __VA_ARGS__;                                                  \
    input(__VA_ARGS__)
#define ULL(...)                                                               \
    unsigned long long __VA_ARGS__;                                            \
    input(__VA_ARGS__)
#define VEC(name, type, len)                                                   \
    vector<type> name(len);                                                    \
    input(name);
#define VEC2(name, type, len1, len2)                                           \
    vector name(len1, vector<type>(len2));                                     \
    input(name);
// other macros
// https://trap.jp/post/1224/
#define OVERLOAD3(_1, _2, _3, name, ...) name
#define ALL(v) (v).begin(), (v).end()
#define RALL(v) (v).rbegin(), (v).rend()
#define REP1(i, n) for(int i = 0; i < int(n); i++)
#define REP2(i, a, b) for(int i = (a); i < int(b); i++)
#define REP(...) OVERLOAD3(__VA_ARGS__, REP2, REP1)(__VA_ARGS__)
#define SORT(v) sort(ALL(v))
#define RSORT(v) sort(RALL(v))
#define UNIQUE(v)                                                              \
    sort(ALL(v)), (v).erase(unique(ALL(v)), (v).end()), v.shrink_to_fit()
#define REV(v) reverse(ALL(v))
#define SZ(v) ((int)(v).size())
#define MIN(v) (*min_element(ALL(v)))
#define MAX(v) (*max_element(ALL(v)))
// util const
const int INF = 1 << 30;
const ll LLINF = 1LL << 60;
constexpr int MOD = 1000000007;
constexpr int MOD2 = 998244353;
const int dx[4] = {1, 0, -1, 0};
const int dy[4] = {0, 1, 0, -1};
// util functions
void Case(int i) { cout << "Case #" << i << ": "; }
int popcnt(int x) { return __builtin_popcount(x); }
int popcnt(ll x) { return __builtin_popcountll(x); }
template <class T> inline bool chmax(T &a, T b) {
    return (a < b ? a = b, true : false);
}
template <class T> inline bool chmin(T &a, T b) {
    return (a > b ? a = b, true : false);
}
template <class T, size_t dim>
auto make_vector_impl(vector<size_t> &sizes, const T &e) {
    if constexpr(dim == 1) {
        return vector(sizes[0], e);
    } else {
        size_t n = sizes[dim - 1];
        sizes.pop_back();
        return vector(n, make_vector_impl<T, dim - 1>(sizes, e));
    }
}
template <class T, size_t dim>
auto make_vector(const size_t (&sizes)[dim], const T &e) {
    vector<size_t> s(dim);
    for(size_t i = 0; i < dim; i++) s[i] = sizes[dim - i - 1];
    return make_vector_impl<T, dim>(s, e);
}
#pragma endregion Macros

#line 2 "/Users/siro53/kyo-pro/compro_library/modint/modint.hpp"

#line 6 "/Users/siro53/kyo-pro/compro_library/modint/modint.hpp"

template <int mod> class ModInt {
  public:
    ModInt() : x(0) {}
    ModInt(long long y)
        : x(y >= 0 ? y % umod() : (umod() - (-y) % umod()) % umod()) {}
    unsigned int val() const { return x; }
    ModInt &operator+=(const ModInt &p) {
        if((x += p.x) >= umod()) x -= umod();
        return *this;
    }
    ModInt &operator-=(const ModInt &p) {
        if((x += umod() - p.x) >= umod()) x -= umod();
        return *this;
    }
    ModInt &operator*=(const ModInt &p) {
        x = (unsigned int)(1ULL * x * p.x % umod());
        return *this;
    }
    ModInt &operator/=(const ModInt &p) {
        *this *= p.inv();
        return *this;
    }
    ModInt operator-() const { return ModInt(-(long long)x); }
    ModInt operator+(const ModInt &p) const { return ModInt(*this) += p; }
    ModInt operator-(const ModInt &p) const { return ModInt(*this) -= p; }
    ModInt operator*(const ModInt &p) const { return ModInt(*this) *= p; }
    ModInt operator/(const ModInt &p) const { return ModInt(*this) /= p; }
    bool operator==(const ModInt &p) const { return x == p.x; }
    bool operator!=(const ModInt &p) const { return x != p.x; }
    ModInt inv() const {
        long long a = x, b = mod, u = 1, v = 0, t;
        while(b > 0) {
            t = a / b;
            std::swap(a -= t * b, b);
            std::swap(u -= t * v, v);
        }
        return ModInt(u);
    }
    ModInt pow(unsigned long long n) const {
        ModInt ret(1), mul(x);
        while(n > 0) {
            if(n & 1) ret *= mul;
            mul *= mul;
            n >>= 1;
        }
        return ret;
    }
    friend std::ostream &operator<<(std::ostream &os, const ModInt &p) {
        return os << p.x;
    }
    friend std::istream &operator>>(std::istream &is, ModInt &a) {
        long long t;
        is >> t;
        a = ModInt<mod>(t);
        return (is);
    }
    static constexpr int get_mod() { return mod; }

  private:
    unsigned int x;
    static constexpr unsigned int umod() { return mod; }
};
#line 334 "combined.cpp"
using mint = ModInt<MOD2>;

struct FastFactorize {
    ll mul(ll a, ll b, ll c) { return (__int128)a * b % c; }
    ll power(ll a, ll b, ll mod) {
        ll res = 1;
        while(b) {
            if(b & 1) { res = mul(res, a, mod); }
            a = mul(a, a, mod);
            b >>= 1;
        }
        return res;
    }
    bool isPrime(ll n) {
        if(!(n & 1) && n != 2) { return false; }
        ll d = n - 1;
        int s = __builtin_ctzll(d);
        d >>= s;
        vector<int> A;
        if(n <= 1000000000) {
            A = {2, 3, 5, 7};
        } else {
            A = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37};
        }
        for(int a : A) {
            ll p = power(a, d, n);
            int i = s;
            while(p != 1 && p != n - 1 && a % n && (--i)) { p = mul(p, p, n); }
            if(p != n - 1 && i != s) { return false; }
        }
        return true;
    }
    ll rho(ll n) {
        auto f = [&](ll a) { return mul(a, a, n) + 1; };
        ll x = 0, y = 0, p = 2, q;
        int i = 1, t = 0;
        while((t++) % 40 || gcd(p, n) == 1) {
            if(x == y) {
                x = ++i;
                y = f(x);
            }
            if(q = mul(p, abs(y - x), n)) { p = q; }
            x = f(x);
            y = f(f(y));
        }
        return gcd(p, n);
    }
    vector<ll> factor(ll n) {
        if(n == 1) { return {}; }
        if(isPrime(n)) { return {n}; }
        ll a = rho(n);
        assert(a != n && a != 1);
        auto l = factor(a), r = factor(n / a);
        l.insert(l.end(), r.begin(), r.end());
        return l;
    }
};

namespace or_conv {
    template <typename T> void fwt(vector<T> &f) {
        int n = f.size();
        for(int i = 1; i < n; i <<= 1) {
            for(int j = 0; j < n; j++) {
                if((j & i) == 0) { f[j | i] += f[j]; }
            }
        }
    }
    template <typename T> void ifwt(vector<T> &f) {
        int n = f.size();
        for(int i = 1; i < n; i <<= 1) {
            for(int j = 0; j < n; j++) {
                if((j & i) == 0) { f[j | i] -= f[j]; }
            }
        }
    }
    template <typename T> vector<T> conv(vector<T> a, vector<T> b) {
        if(SZ(a) < SZ(b)) swap(a, b);
        b.resize(SZ(a));
        fwt(a); fwt(b);
        REP(i, SZ(a)) a[i] *= b[i];
        ifwt(a);
        return a;
    }
}; // namespace or_conv

vector<pair<ll, int>> pf;

void solve(int N, vector<ll> A, vector<mint> W) {
    int sz = SZ(pf);
    vector<int> bs;
    vector<mint> ws;
    REP(i, N) {
        ll tmp = A[i];
        int mask = 0;
        bool ok = true;
        REP(j, sz) {
            const auto &[p, e] = pf[j];
            int cnt = 0;
            while(tmp % p == 0) {
                tmp /= p;
                cnt++;
            }
            if(cnt > e) {
                ok = false;
                break;
            }
            if(cnt == e) mask |= (1 << j);
        }
        if(tmp != 1) ok = false;
        if(ok) {
            bs.emplace_back(mask);
            ws.emplace_back(W[i]);
        }
    }
    debug(SZ(bs), sz);
    int n = SZ(bs);
    if(sz == 0) {
        print(mint(2).pow(n) - 1);
    } else if(n <= sz) {
        mint ans = 0;
        REP(mask, 1, 1 << n) {
            int mask2 = 0;
            mint prod_w = 1;
            REP(i, n) if(mask >> i & 1) {
                mask2 |= bs[i];
                prod_w *= ws[i];
            }
            if(mask2 != ((1 << sz) - 1)) continue;
            ans += prod_w;
        }
        print(ans);
    } else {
        vector<mint> sum(1 << sz, 1);
        REP(i, n) sum[bs[i]] *= (ws[i] + 1);
        vector<mint> dp(1 << sz);
        dp[0] = 1;
        REP(i, 1 << sz) {
            vector<mint> new_dp = dp;
            REP(mask, 1 << sz) new_dp[mask | i] += dp[mask] * (sum[i] - 1);
            dp = move(new_dp);
        }
        print(dp.back());
    }
}

int main() {
    INT(T);
    LL(m);
    FastFactorize f;
    auto v = f.factor(m);
    map<ll, int> mp;
    for(ll e : v) mp[e]++;
    for(auto p : mp) pf.emplace_back(p);
    debug(m, pf);
    while(T--) {
        INT(N, B, C, D);
        VEC(A, ll, N);
        vector<mint> W(N, B);
        REP(i, 1, N) W[i] = W[i - 1] * C + D;
        solve(N, A, W);
    }
}