結果

問題 No.1327 グラフの数え上げ
ユーザー PachicobuePachicobue
提出日時 2020-12-24 02:33:35
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 51 ms / 2,000 ms
コード長 14,307 bytes
コンパイル時間 2,207 ms
コンパイル使用メモリ 205,908 KB
実行使用メモリ 22,892 KB
最終ジャッジ日時 2024-09-21 16:46:01
合計ジャッジ時間 3,035 ms
ジャッジサーバーID
(参考情報)
judge1 / judge2
このコードへのチャレンジ
(要ログイン)

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 4 ms
5,376 KB
testcase_02 AC 2 ms
5,376 KB
testcase_03 AC 2 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 2 ms
5,376 KB
testcase_09 AC 51 ms
5,376 KB
testcase_10 AC 2 ms
5,376 KB
testcase_11 AC 2 ms
5,376 KB
testcase_12 AC 2 ms
5,376 KB
testcase_13 AC 2 ms
5,376 KB
testcase_14 AC 2 ms
5,376 KB
testcase_15 AC 5 ms
5,376 KB
testcase_16 AC 40 ms
22,892 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 #

#include <bits/stdc++.h>
using ll = long long;
using uint = unsigned int;
using ull = unsigned long long;
using ld = long double;
template<typename T> using max_heap = std::priority_queue<T>;
template<typename T> using min_heap = std::priority_queue<T, std::vector<T>, std::greater<T>>;
constexpr int popcount(const ull v) { return v ? __builtin_popcountll(v) : 0; }
constexpr int log2p1(const ull v) { return v ? 64 - __builtin_clzll(v) : 0; }
constexpr int lsbp1(const ull v) { return __builtin_ffsll(v); }
constexpr int clog(const ull v) { return v ? log2p1(v - 1) : 0; }
constexpr ull ceil2(const ull v) { return 1ULL << clog(v); }
constexpr ull floor2(const ull v) { return v ? (1ULL << (log2p1(v) - 1)) : 0ULL; }
constexpr bool btest(const ull mask, const int ind) { return (mask >> ind) & 1ULL; }
template<typename T> bool chmin(T& a, const T& b) { return (a > b ? a = b, true : false); }
template<typename T> bool chmax(T& a, const T& b) { return (a < b ? a = b, true : false); }
template<typename T> constexpr T inf_v = std::numeric_limits<T>::max() / 4;
template<typename Real> constexpr Real pi_v = Real{3.141592653589793238462643383279502884};
template<typename T> constexpr T TEN(const int n) { return n == 0 ? T{1} : TEN<T>(n - 1) * T{10}; }
template<typename F> struct fix : F
{
    fix(F&& f) : F{std::forward<F>(f)} {}
    template<typename... Args> auto operator()(Args&&... args) const { return F::operator()(*this, std::forward<Args>(args)...); }
};
template<typename T, int n, int i = 0>
auto nd_array(int const (&szs)[n], const T x = T{})
{
    if constexpr (i == n) {
        return x;
    } else {
        return std::vector(szs[i], nd_array<T, n, i + 1>(szs, x));
    }
}
class printer
{
public:
    printer(std::ostream& os_ = std::cout) : m_os{os_} { m_os << std::fixed << std::setprecision(15); }
    template<typename... Args> int ln(const Args&... args) { return dump(args...), m_os << '\n', 0; }
    template<typename... Args> int el(const Args&... args) { return dump(args...), m_os << std::endl, 0; }
private:
    template<typename T> void dump(const T& v) { m_os << v; }
    template<typename T> void dump(const std::vector<T>& vs)
    {
        for (int i = 0; i < (int)vs.size(); i++) { m_os << (i ? " " : ""), dump(vs[i]); }
    }
    template<typename T> void dump(const std::vector<std::vector<T>>& vss)
    {
        for (int i = 0; i < (int)vss.size(); i++) { m_os << (0 <= i or i + 1 < (int)vss.size() ? "\n" : ""), dump(vss[i]); }
    }
    template<typename T, typename... Args> int dump(const T& v, const Args&... args) { return dump(v), m_os << ' ', dump(args...), 0; }
    std::ostream& m_os;
};
printer out;
class range
{
private:
    struct itr
    {
        itr(const int start = 0, const int step = 1) : m_cnt{start}, m_step{step} {}
        bool operator!=(const itr& it) const { return m_cnt != it.m_cnt; }
        int& operator*() { return m_cnt; }
        itr& operator++() { return m_cnt += m_step, *this; }
        int m_cnt, m_step;
    };
    int m_start, m_end, m_step;
public:
    range(const int start, const int end, const int step = 1) : m_start{start}, m_end{end}, m_step{step}
    {
        assert(m_step != 0);
        if (m_step > 0) { m_end = m_start + std::max(m_step - 1, m_end - m_start + m_step - 1) / m_step * m_step; }
        if (m_step < 0) { m_end = m_start - std::max(-m_step - 1, m_start - m_end - m_step - 1) / (-m_step) * (-m_step); }
    }
    itr begin() const { return itr{m_start, m_step}; }
    itr end() const { return itr{m_end, m_step}; }
};
range rep(const int end, const int step = 1) { return range(0, end, step); }
range per(const int rend, const int step = -1) { return range(rend - 1, -1, step); }
class scanner
{
public:
    scanner(std::istream& is_ = std::cin) : m_is{is_} { m_is.tie(nullptr), std::ios::sync_with_stdio(false); }
    template<typename T> T val()
    {
        T v;
        return m_is >> v, v;
    }
    template<typename T> T val(const T offset) { return val<T>() - offset; }
    template<typename T> std::vector<T> vec(const int n)
    {
        return make_v<T>(n, [this]() { return val<T>(); });
    }
    template<typename T> std::vector<T> vec(const int n, const T offset)
    {
        return make_v<T>(n, [this, offset]() { return val<T>(offset); });
    }
    template<typename T> std::vector<std::vector<T>> vvec(const int n0, const int n1)
    {
        return make_v<std::vector<T>>(n0, [this, n1]() { return vec<T>(n1); });
    }
    template<typename T> std::vector<std::vector<T>> vvec(const int n0, const int n1, const T offset)
    {
        return make_v<std::vector<T>>(n0, [this, n1, offset]() { return vec<T>(n1, offset); });
    }
    template<typename... Args> auto tup() { return std::tuple<std::decay_t<Args>...>{val<Args>()...}; }
    template<typename... Args> auto tup(const Args&... offsets) { return std::tuple<std::decay_t<Args>...>{val<Args>(offsets)...}; }
private:
    template<typename T, typename F>
    std::vector<T> make_v(const int n, F f)
    {
        std::vector<T> ans;
        for (int i = 0; i < n; i++) { ans.push_back(f()); }
        return ans;
    }
    std::istream& m_is;
};
scanner in;
struct modinfo
{
    const uint mod, root, max2p;
};
template<const modinfo& info>
class modint
{
public:
    static constexpr const uint& mod = info.mod;
    static constexpr const uint& root = info.root;
    static constexpr const uint& max2p = info.max2p;
    constexpr modint() : m_val{0} {}
    constexpr modint(const ll v) : m_val{normll(v)} {}
    constexpr modint(const modint& m) = default;
    constexpr modint& operator =(const modint& m) { return m_val = m(), (*this); }
    constexpr modint& operator =(const ll v) { return m_val = normll(v), (*this); }
    constexpr modint operator+() const { return *this; }
    constexpr modint operator-() const { return modint{0} - (*this); }
    constexpr modint& operator+=(const modint& m) { return m_val = norm(m_val + m()), *this; }
    constexpr modint& operator-=(const modint& m) { return m_val = norm(m_val + mod - m()), *this; }
    constexpr modint& operator*=(const modint& m) { return m_val = normll((ll)m_val * (ll)m() % (ll)mod), *this; }
    constexpr modint& operator/=(const modint& m) { return *this *= m.inv(); }
    constexpr modint& operator+=(const ll val) { return *this += modint{val}; }
    constexpr modint& operator-=(const ll val) { return *this -= modint{val}; }
    constexpr modint& operator*=(const ll val) { return *this *= modint{val}; }
    constexpr modint& operator/=(const ll val) { return *this /= modint{val}; }
    constexpr modint operator+(const modint& m) const { return modint{*this} += m; }
    constexpr modint operator-(const modint& m) const { return modint{*this} -= m; }
    constexpr modint operator*(const modint& m) const { return modint{*this} *= m; }
    constexpr modint operator/(const modint& m) const { return modint{*this} /= m; }
    constexpr modint operator+(const ll v) const { return *this + modint{v}; }
    constexpr modint operator-(const ll v) const { return *this - modint{v}; }
    constexpr modint operator*(const ll v) const { return *this * modint{v}; }
    constexpr modint operator/(const ll v) const { return *this / modint{v}; }
    constexpr bool operator==(const modint& m) const { return m_val == m(); }
    constexpr bool operator!=(const modint& m) const { return not(*this == m); }
    constexpr friend modint operator+(const ll v, const modint& m) { return modint{v} + m; }
    constexpr friend modint operator-(const ll v, const modint& m) { return modint{v} - m; }
    constexpr friend modint operator*(const ll v, const modint& m) { return modint{v} * m; }
    constexpr friend modint operator/(const ll v, const modint& m) { return modint{v} / m; }
    friend std::istream& operator>>(std::istream& is, modint& m)
    {
        ll v;
        return is >> v, m = v, is;
    }
    friend std::ostream& operator<<(std::ostream& os, const modint& m) { return os << m(); }
    constexpr uint operator()() const { return m_val; }
    constexpr modint pow(ull n) const
    {
        modint ans = 1;
        for (modint x = *this; n > 0; n >>= 1, x *= x) {
            if (n & 1ULL) { ans *= x; }
        }
        return ans;
    }
    constexpr modint inv() const { return pow(mod - 2); }
    modint sinv() const { return sinv(m_val); }
    static modint fact(const uint n)
    {
        static std::vector<modint> fs{1, 1};
        for (uint i = (uint)fs.size(); i <= n; i++) { fs.push_back(fs.back() * i); }
        return fs[n];
    }
    static modint ifact(const uint n)
    {
        static std::vector<modint> ifs{1, 1};
        for (uint i = (uint)ifs.size(); i <= n; i++) { ifs.push_back(ifs.back() * sinv(i)); }
        return ifs[n];
    }
    static modint perm(const int n, const int k) { return k > n or k < 0 ? modint{0} : fact(n) * ifact(n - k); }
    static modint comb(const int n, const int k) { return k > n or k < 0 ? modint{0} : fact(n) * ifact(n - k) * ifact(k); }
private:
    static constexpr uint norm(const uint x) { return x < mod ? x : x - mod; }
    static constexpr uint normll(const ll x) { return norm(uint(x % (ll)mod + (ll)mod)); }
    static modint sinv(const uint n)
    {
        static std::vector<modint> is{1, 1};
        for (uint i = (uint)is.size(); i <= n; i++) { is.push_back(-is[mod % i] * (mod / i)); }
        return is[n];
    }
    uint m_val;
};
constexpr modinfo modinfo_1000000007 = {1000000007, 5, 1};
constexpr modinfo modinfo_998244353 = {998244353, 3, 23};
using modint_1000000007 = modint<modinfo_1000000007>;
using modint_998244353 = modint<modinfo_998244353>;
int main()
{
    using mint = modint_1000000007;
    const std::vector<mint> fs{1,
                               682498929,
                               491101308,
                               76479948,
                               723816384,
                               67347853,
                               27368307,
                               625544428,
                               199888908,
                               888050723,
                               927880474,
                               281863274,
                               661224977,
                               623534362,
                               970055531,
                               261384175,
                               195888993,
                               66404266,
                               547665832,
                               109838563,
                               933245637,
                               724691727,
                               368925948,
                               268838846,
                               136026497,
                               112390913,
                               135498044,
                               217544623,
                               419363534,
                               500780548,
                               668123525,
                               128487469,
                               30977140,
                               522049725,
                               309058615,
                               386027524,
                               189239124,
                               148528617,
                               940567523,
                               917084264,
                               429277690,
                               996164327,
                               358655417,
                               568392357,
                               780072518,
                               462639908,
                               275105629,
                               909210595,
                               99199382,
                               703397904,
                               733333339,
                               97830135,
                               608823837,
                               256141983,
                               141827977,
                               696628828,
                               637939935,
                               811575797,
                               848924691,
                               131772368,
                               724464507,
                               272814771,
                               326159309,
                               456152084,
                               903466878,
                               92255682,
                               769795511,
                               373745190,
                               606241871,
                               825871994,
                               957939114,
                               435887178,
                               852304035,
                               663307737,
                               375297772,
                               217598709,
                               624148346,
                               671734977,
                               624500515,
                               748510389,
                               203191898,
                               423951674,
                               629786193,
                               672850561,
                               814362881,
                               823845496,
                               116667533,
                               256473217,
                               627655552,
                               245795606,
                               586445753,
                               172114298,
                               193781724,
                               778983779,
                               83868974,
                               315103615,
                               965785236,
                               492741665,
                               377329025,
                               847549272,
                               698611116};
    const auto S = in.val<std::string>();
    if (S.size() >= 11) {
        return out.ln(0);
    } else {
        const auto N = std::stoll(S) - 1;
        if (N >= 1000000007) { return out.ln(0); }
        constexpr int B = 10000000;
        const int bi = N / B;
        mint ans = (N % 2 == 0 ? 1 : -1) * fs[bi];
        for (int i = bi * B + 1; i <= N; i++) { ans *= i; }
        out.ln(ans);
    }
    return 0;
}
0