#991564 (C++17) No.2798 Multiple Chain

提出ソース

結果

問題	No.2798 Multiple Chain
ユーザー	tokusakurai
提出日時	2024-06-28 22:28:51
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	3 ms / 2,000 ms
コード長	11,213 bytes
コンパイル時間	2,342 ms
コンパイル使用メモリ	220,328 KB
実行使用メモリ	5,376 KB
最終ジャッジ日時	2024-06-28 22:28:57
合計ジャッジ時間	3,611 ms
ジャッジサーバーID （参考情報）	judge5 / judge1

このコードへのチャレンジ
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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 5,248 KB
testcase_01	AC	2 ms 5,376 KB
testcase_02	AC	2 ms 5,376 KB
testcase_03	AC	1 ms 5,376 KB
testcase_04	AC	2 ms 5,376 KB
testcase_05	AC	2 ms 5,376 KB
testcase_06	AC	2 ms 5,376 KB
testcase_07	AC	2 ms 5,376 KB
testcase_08	AC	1 ms 5,376 KB
testcase_09	AC	1 ms 5,376 KB
testcase_10	AC	2 ms 5,376 KB
testcase_11	AC	2 ms 5,376 KB
testcase_12	AC	1 ms 5,376 KB
testcase_13	AC	2 ms 5,376 KB
testcase_14	AC	2 ms 5,376 KB
testcase_15	AC	2 ms 5,376 KB
testcase_16	AC	2 ms 5,376 KB
testcase_17	AC	1 ms 5,376 KB
testcase_18	AC	1 ms 5,376 KB
testcase_19	AC	2 ms 5,376 KB
testcase_20	AC	2 ms 5,376 KB
testcase_21	AC	2 ms 5,376 KB
testcase_22	AC	2 ms 5,376 KB
testcase_23	AC	2 ms 5,376 KB
testcase_24	AC	1 ms 5,376 KB
testcase_25	AC	3 ms 5,376 KB
testcase_26	AC	2 ms 5,376 KB
testcase_27	AC	1 ms 5,376 KB
testcase_28	AC	2 ms 5,376 KB
testcase_29	AC	2 ms 5,376 KB
testcase_30	AC	2 ms 5,376 KB
testcase_31	AC	2 ms 5,376 KB
testcase_32	AC	2 ms 5,376 KB
testcase_33	AC	2 ms 5,376 KB
testcase_34	AC	2 ms 5,376 KB
testcase_35	AC	1 ms 5,376 KB
testcase_36	AC	2 ms 5,376 KB
testcase_37	AC	2 ms 5,376 KB
testcase_38	AC	2 ms 5,376 KB
testcase_39	AC	2 ms 5,376 KB
testcase_40	AC	2 ms 5,376 KB
testcase_41	AC	2 ms 5,376 KB
testcase_42	AC	2 ms 5,376 KB
testcase_43	AC	1 ms 5,376 KB
testcase_44	AC	2 ms 5,376 KB
testcase_45	AC	1 ms 5,376 KB
testcase_46	AC	2 ms 5,376 KB
testcase_47	AC	2 ms 5,376 KB
testcase_48	AC	2 ms 5,376 KB
testcase_49	AC	2 ms 5,376 KB
testcase_50	AC	2 ms 5,376 KB
testcase_51	AC	2 ms 5,376 KB
testcase_52	AC	2 ms 5,376 KB
testcase_53	AC	2 ms 5,376 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

raw source code

#include <bits/stdc++.h>
using namespace std;
#define rep(i, n) for (int i = 0; i < (n); i++)
#define per(i, n) for (int i = (n) - 1; i >= 0; i--)
#define rep2(i, l, r) for (int i = (l); i < (r); i++)
#define per2(i, l, r) for (int i = (r) - 1; i >= (l); i--)
#define each(e, v) for (auto &e : v)
#define MM << " " <<
#define pb push_back
#define eb emplace_back
#define all(x) begin(x), end(x)
#define rall(x) rbegin(x), rend(x)
#define sz(x) (int)x.size()
using ll = long long;
using pii = pair<int, int>;
using pil = pair<int, ll>;
using pli = pair<ll, int>;
using pll = pair<ll, ll>;

template <typename T>
using minheap = priority_queue<T, vector<T>, greater<T>>;

template <typename T>
using maxheap = priority_queue<T>;

template <typename T>
bool chmax(T &x, const T &y) {
    return (x < y) ? (x = y, true) : false;
}

template <typename T>
bool chmin(T &x, const T &y) {
    return (x > y) ? (x = y, true) : false;
}

template <typename T>
int flg(T x, int i) {
    return (x >> i) & 1;
}

int pct(int x) { return __builtin_popcount(x); }
int pct(ll x) { return __builtin_popcountll(x); }
int topbit(int x) { return (x == 0 ? -1 : 31 - __builtin_clz(x)); }
int topbit(ll x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); }
int botbit(int x) { return (x == 0 ? -1 : __builtin_ctz(x)); }
int botbit(ll x) { return (x == 0 ? -1 : __builtin_ctzll(x)); }

template <typename T>
void print(const vector<T> &v, T x = 0) {
    int n = v.size();
    for (int i = 0; i < n; i++) cout << v[i] + x << (i == n - 1 ? '\n' : ' ');
    if (v.empty()) cout << '\n';
}

template <typename T>
void printn(const vector<T> &v, T x = 0) {
    int n = v.size();
    for (int i = 0; i < n; i++) cout << v[i] + x << '\n';
}

template <typename T>
void err_print(const vector<T> &v, T x = 0) {
    int n = v.size();
    for (int i = 0; i < n; i++) cerr << v[i] + x << ' ';
    cerr << endl;
}

template <typename T>
int lb(const vector<T> &v, T x) {
    return lower_bound(begin(v), end(v), x) - begin(v);
}

template <typename T>
int ub(const vector<T> &v, T x) {
    return upper_bound(begin(v), end(v), x) - begin(v);
}

template <typename T>
void rearrange(vector<T> &v) {
    sort(begin(v), end(v));
    v.erase(unique(begin(v), end(v)), end(v));
}

template <typename T>
vector<int> id_sort(const vector<T> &v, bool greater = false) {
    int n = v.size();
    vector<int> ret(n);
    iota(begin(ret), end(ret), 0);
    sort(begin(ret), end(ret), [&](int i, int j) { return greater ? v[i] > v[j] : v[i] < v[j]; });
    return ret;
}

template <typename T>
void reorder(vector<T> &a, const vector<int> &ord) {
    int n = a.size();
    vector<T> b(n);
    for (int i = 0; i < n; i++) b[i] = a[ord[i]];
    swap(a, b);
}

template <typename T>
T floor(T x, T y) {
    assert(y != 0);
    if (y < 0) x = -x, y = -y;
    return (x >= 0 ? x / y : (x - y + 1) / y);
}

template <typename T>
T ceil(T x, T y) {
    assert(y != 0);
    if (y < 0) x = -x, y = -y;
    return (x >= 0 ? (x + y - 1) / y : x / y);
}

template <typename S, typename T>
pair<S, T> operator+(const pair<S, T> &p, const pair<S, T> &q) {
    return make_pair(p.first + q.first, p.second + q.second);
}

template <typename S, typename T>
pair<S, T> operator-(const pair<S, T> &p, const pair<S, T> &q) {
    return make_pair(p.first - q.first, p.second - q.second);
}

template <typename S, typename T>
istream &operator>>(istream &is, pair<S, T> &p) {
    S a;
    T b;
    is >> a >> b;
    p = make_pair(a, b);
    return is;
}

template <typename S, typename T>
ostream &operator<<(ostream &os, const pair<S, T> &p) {
    return os << p.first << ' ' << p.second;
}

struct io_setup {
    io_setup() {
        ios_base::sync_with_stdio(false);
        cin.tie(NULL);
        cout << fixed << setprecision(15);
        cerr << fixed << setprecision(15);
    }
} io_setup;

constexpr int inf = (1 << 30) - 1;
constexpr ll INF = (1LL << 60) - 1;
// constexpr int MOD = 1000000007;
constexpr int MOD = 998244353;

struct Random_Number_Generator {
    mt19937_64 mt;

    Random_Number_Generator() : mt(chrono::steady_clock::now().time_since_epoch().count()) {}

    int64_t operator()(int64_t l, int64_t r) {
        uniform_int_distribution<int64_t> dist(l, r - 1);
        return dist(mt);
    }

    int64_t operator()(int64_t r) { return (*this)(0, r); }
} rng;

struct Montgomery_Mod_Int_64 {
    using u64 = uint64_t;
    using u128 = __uint128_t;

    static u64 mod;
    static u64 r;  // m*r ≡ 1 (mod 2^64)
    static u64 n2; // 2^128 (mod mod)

    u64 x;

    Montgomery_Mod_Int_64() : x(0) {}

    Montgomery_Mod_Int_64(long long b) : x(reduce((u128(b) + mod) * n2)) {}

    static u64 get_r() { // mod 2^64 での逆元
        u64 ret = mod;
        for (int i = 0; i < 5; i++) ret *= 2 - mod * ret;
        return ret;
    }

    static u64 get_mod() { return mod; }

    static void set_mod(u64 m) {
        assert(m < (1LL << 62));
        assert((m & 1) == 1);
        mod = m;
        n2 = -u128(m) % m;
        r = get_r();
        assert(r * mod == 1);
    }

    static u64 reduce(const u128 &b) { return (b + u128(u64(b) * u64(-r)) * mod) >> 64; }

    Montgomery_Mod_Int_64 &operator+=(const Montgomery_Mod_Int_64 &p) {
        if ((x += p.x) >= 2 * mod) x -= 2 * mod;
        return *this;
    }

    Montgomery_Mod_Int_64 &operator-=(const Montgomery_Mod_Int_64 &p) {
        if ((x += 2 * mod - p.x) >= 2 * mod) x -= 2 * mod;
        return *this;
    }

    Montgomery_Mod_Int_64 &operator*=(const Montgomery_Mod_Int_64 &p) {
        x = reduce(u128(x) * p.x);
        return *this;
    }

    Montgomery_Mod_Int_64 &operator/=(const Montgomery_Mod_Int_64 &p) {
        *this *= p.inverse();
        return *this;
    }

    Montgomery_Mod_Int_64 &operator++() { return *this += Montgomery_Mod_Int_64(1); }

    Montgomery_Mod_Int_64 operator++(int) {
        Montgomery_Mod_Int_64 tmp = *this;
        ++*this;
        return tmp;
    }

    Montgomery_Mod_Int_64 &operator--() { return *this -= Montgomery_Mod_Int_64(1); }

    Montgomery_Mod_Int_64 operator--(int) {
        Montgomery_Mod_Int_64 tmp = *this;
        --*this;
        return tmp;
    }

    Montgomery_Mod_Int_64 operator+(const Montgomery_Mod_Int_64 &p) const { return Montgomery_Mod_Int_64(*this) += p; };

    Montgomery_Mod_Int_64 operator-(const Montgomery_Mod_Int_64 &p) const { return Montgomery_Mod_Int_64(*this) -= p; };

    Montgomery_Mod_Int_64 operator*(const Montgomery_Mod_Int_64 &p) const { return Montgomery_Mod_Int_64(*this) *= p; };

    Montgomery_Mod_Int_64 operator/(const Montgomery_Mod_Int_64 &p) const { return Montgomery_Mod_Int_64(*this) /= p; };

    bool operator==(const Montgomery_Mod_Int_64 &p) const { return (x >= mod ? x - mod : x) == (p.x >= mod ? p.x - mod : p.x); };

    bool operator!=(const Montgomery_Mod_Int_64 &p) const { return (x >= mod ? x - mod : x) != (p.x >= mod ? p.x - mod : p.x); };

    Montgomery_Mod_Int_64 inverse() const {
        assert(*this != Montgomery_Mod_Int_64(0));
        return pow(mod - 2);
    }

    Montgomery_Mod_Int_64 pow(long long k) const {
        Montgomery_Mod_Int_64 now = *this, ret = 1;
        for (; k > 0; k >>= 1, now *= now) {
            if (k & 1) ret *= now;
        }
        return ret;
    }

    u64 get() const {
        u64 ret = reduce(x);
        return ret >= mod ? ret - mod : ret;
    }

    friend ostream &operator<<(ostream &os, const Montgomery_Mod_Int_64 &p) { return os << p.get(); }

    friend istream &operator>>(istream &is, Montgomery_Mod_Int_64 &p) {
        long long a;
        is >> a;
        p = Montgomery_Mod_Int_64(a);
        return is;
    }
};

typename Montgomery_Mod_Int_64::u64 Montgomery_Mod_Int_64::mod, Montgomery_Mod_Int_64::r, Montgomery_Mod_Int_64::n2;

bool Miller_Rabin(long long n, vector<long long> as) {
    using Mint = Montgomery_Mod_Int_64;
    if (Mint::get_mod() != uint64_t(n)) Mint::set_mod(n);
    long long d = n - 1;
    while (!(d & 1)) d >>= 1;
    Mint e = 1, rev = n - 1;
    for (long long a : as) {
        if (n <= a) break;
        long long t = d;
        Mint y = Mint(a).pow(t);
        while (t != n - 1 && y != e && y != rev) {
            y *= y;
            t <<= 1;
        }
        if (y != rev && (!(t & 1))) return false;
    }
    return true;
}

bool is_prime(long long n) {
    if (!(n & 1)) return n == 2;
    if (n <= 1) return false;
    if (n < (1LL << 30)) return Miller_Rabin(n, {2, 7, 61});
    return Miller_Rabin(n, {2, 325, 9375, 28178, 450775, 9780504, 1795265022});
}

long long Pollard_rho(long long n) {
    using Mint = Montgomery_Mod_Int_64;
    if (!(n & 1)) return 2;
    if (is_prime(n)) return n;
    if (Mint::get_mod() != uint64_t(n)) Mint::set_mod(n);
    Mint R, one = 1;
    auto f = [&](Mint x) { return x * x + R; };
    auto rnd = [&]() { return rng(n - 2) + 2; };
    while (true) {
        Mint x, y, ys, q = one;
        R = rnd(), y = rnd();
        long long g = 1;
        int m = 128;
        for (int r = 1; g == 1; r <<= 1) {
            x = y;
            for (int i = 0; i < r; i++) y = f(y);
            for (int k = 0; g == 1 && k < r; k += m) {
                ys = y;
                for (int i = 0; i < m && i < r - k; i++) q *= x - (y = f(y));
                g = gcd(q.get(), n);
            }
        }
        if (g == n) {
            do { g = gcd((x - (ys = f(ys))).get(), n); } while (g == 1);
        }
        if (g != n) return g;
    }
    return 0;
}

vector<long long> factorize(long long n) {
    if (n <= 1) return {};
    long long p = Pollard_rho(n);
    if (p == n) return {n};
    auto l = factorize(p);
    auto r = factorize(n / p);
    copy(begin(r), end(r), back_inserter(l));
    return l;
}

vector<pair<long long, int>> prime_factor(long long n) {
    auto ps = factorize(n);
    sort(begin(ps), end(ps));
    vector<pair<long long, int>> ret;
    for (auto &e : ps) {
        if (!ret.empty() && ret.back().first == e) {
            ret.back().second++;
        } else {
            ret.emplace_back(e, 1);
        }
    }
    return ret;
}

vector<long long> divisors(long long n) {
    auto ps = prime_factor(n);
    int cnt = 1;
    for (auto &[p, t] : ps) cnt *= t + 1;
    vector<long long> ret(cnt, 1);
    cnt = 1;
    for (auto &[p, t] : ps) {
        long long pw = 1;
        for (int i = 1; i <= t; i++) {
            pw *= p;
            for (int j = 0; j < cnt; j++) ret[cnt * i + j] = ret[j] * pw;
        }
        cnt *= t + 1;
    }
    sort(begin(ret), end(ret));
    return ret;
}

void solve() {
    ll N;
    cin >> N;

    auto ps = prime_factor(N);

    int L = 120;

    vector<vector<ll>> dp(L + 1, vector<ll>(L + 1, 0));
    dp[0][0] = 1;

    rep2(n, 1, L + 1) rep2(k, 1, L + 1) {
        dp[n][k] += dp[n - 1][k - 1];
        if (n >= k) dp[n][k] += dp[n - k][k];
    }

    ll ans = 0;

    rep2(n, 1, 60) {
        ll tmp = 1;
        ll tmp2 = 1;

        for (auto [p, t] : ps) {
            ll c1 = dp[t + n][n];
            ll c2 = c1 - dp[t][n];
            tmp *= c1;
            tmp2 *= c2;
        }

        // cerr << tmp MM tmp2 << endl;

        ans += tmp - tmp2;
    }

    cout << ans << '\n';
}

int main() {
    int T = 1;
    // cin >> T;
    while (T--) solve();
}

yukicoder

結果

テストケース

ソースコード