結果

問題 No.1073 無限すごろく
ユーザー knshnbknshnb
提出日時 2020-06-06 01:47:37
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 2 ms / 2,000 ms
コード長 5,168 bytes
コンパイル時間 3,247 ms
コンパイル使用メモリ 212,544 KB
実行使用メモリ 4,380 KB
最終ジャッジ日時 2023-08-22 21:19:46
合計ジャッジ時間 3,689 ms
ジャッジサーバーID
（参考情報） 		judge15 / judge12
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
4,376 KB
testcase_01 AC 1 ms
4,376 KB
testcase_02 AC 2 ms
4,380 KB
testcase_03 AC 1 ms
4,380 KB
testcase_04 AC 2 ms
4,376 KB
testcase_05 AC 1 ms
4,376 KB
testcase_06 AC 2 ms
4,376 KB
testcase_07 AC 1 ms
4,376 KB
testcase_08 AC 1 ms
4,376 KB
testcase_09 AC 1 ms
4,380 KB
testcase_10 AC 2 ms
4,376 KB
testcase_11 AC 1 ms
4,376 KB
testcase_12 AC 2 ms
4,376 KB
testcase_13 AC 2 ms
4,380 KB
testcase_14 AC 1 ms
4,380 KB
testcase_15 AC 1 ms
4,380 KB
testcase_16 AC 2 ms
4,380 KB
testcase_17 AC 2 ms
4,376 KB
testcase_18 AC 2 ms
4,380 KB
testcase_19 AC 2 ms
4,376 KB
testcase_20 AC 1 ms
4,380 KB
testcase_21 AC 2 ms
4,380 KB
testcase_22 AC 1 ms
4,380 KB
testcase_23 AC 2 ms
4,376 KB
testcase_24 AC 2 ms
4,376 KB
testcase_25 AC 2 ms
4,380 KB
testcase_26 AC 2 ms
4,376 KB
testcase_27 AC 1 ms
4,380 KB
testcase_28 AC 1 ms
4,376 KB
testcase_29 AC 2 ms
4,376 KB
testcase_30 AC 2 ms
4,376 KB
testcase_31 AC 2 ms
4,376 KB
testcase_32 AC 2 ms
4,376 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

diff # 

#include <bits/stdc++.h>  // clang-format off
using Int = long long;
#define REP_(i, a_, b_, a, b, ...) for (Int i = (a), lim##i = (b); i < lim##i; i++)
#define REP(i, ...) REP_(i, __VA_ARGS__, __VA_ARGS__, 0, __VA_ARGS__)
struct SetupIO { SetupIO() { std::cin.tie(nullptr), std::ios::sync_with_stdio(false), std::cout << std::fixed << std::setprecision(13); } } setup_io;
#ifndef dump
#define dump(...)
#endif  // clang-format on

/**
 *    author:  knshnb
 *    created: Sat Jun  6 01:37:03 JST 2020
 **/

template <class T> T pow(T x, long long n, const T UNION = 1) {
    T ret = UNION;
    while (n) {
        if (n & 1) ret *= x;
        x *= x;
        n >>= 1;
    }
    return ret;
}

/// @docs src/Math/ModInt.md
template <int Mod> struct ModInt {
    int x;
    static int runtime_mod;
    static std::unordered_map<int, int> to_inv;
    // テンプレート引数が負のときは実行時ModInt
    static int mod() { return Mod < 0 ? runtime_mod : Mod; }
    static void set_runtime_mod(int mod) {
        static_assert(Mod < 0, "template parameter Mod must be negative for runtime ModInt");
        runtime_mod = mod;
        to_inv.clear();
    }
    ModInt() : x(0) {}
    ModInt(long long x_) {
        if ((x = x_ % mod() + mod()) >= mod()) x -= mod();
    }

    ModInt& operator+=(ModInt rhs) {
        if ((x += rhs.x) >= mod()) x -= mod();
        return *this;
    }
    ModInt& operator*=(ModInt rhs) {
        x = (unsigned long long)x * rhs.x % mod();
        return *this;
    }
    ModInt& operator-=(ModInt rhs) {
        if ((x -= rhs.x) < 0) x += mod();
        return *this;
    }
    ModInt& operator/=(ModInt rhs) {
        x = (unsigned long long)x * rhs.inv().x % mod();
        return *this;
    }
    ModInt operator-() const { return -x < 0 ? mod() - x : -x; }
    ModInt operator+(ModInt rhs) const { return ModInt(*this) += rhs; }
    ModInt operator*(ModInt rhs) const { return ModInt(*this) *= rhs; }
    ModInt operator-(ModInt rhs) const { return ModInt(*this) -= rhs; }
    ModInt operator/(ModInt rhs) const { return ModInt(*this) /= rhs; }
    bool operator==(ModInt rhs) const { return x == rhs.x; }
    bool operator!=(ModInt rhs) const { return x != rhs.x; }
    ModInt inv() const { return to_inv.count(this->x) ? to_inv[this->x] : (to_inv[this->x] = pow(*this, mod() - 2).x); }

    friend std::ostream& operator<<(std::ostream& s, ModInt<Mod> a) {
        s << a.x;
        return s;
    }
    friend std::istream& operator>>(std::istream& s, ModInt<Mod>& a) {
        long long tmp;
        s >> tmp;
        a = ModInt<Mod>(tmp);
        return s;
    }
    friend std::string to_string(ModInt<Mod> a) { return std::to_string(a.x); }
};
template <int Mod> std::unordered_map<int, int> ModInt<Mod>::to_inv;
template <int Mod> int ModInt<Mod>::runtime_mod;

#ifndef CALL_FROM_TEST
using mint = ModInt<1000000007>;
#endif

template <class T> struct Matrix {
    std::vector<std::vector<T>> A;
    Matrix() {}
    Matrix(int n) : A(n, std::vector<T>(n, 0)) {}
    Matrix(const std::vector<std::vector<T>> &A_) : A(A_) {}
    static Matrix eye(int n) {
        Matrix mat(n);
        for (int i = 0; i < n; i++) mat[i][i] = 1;
        return (mat);
    }
    int height() const { return (A.size()); }
    int width() const { return (A[0].size()); }
    std::vector<T> &operator[](int k) { return A[k]; }
    const std::vector<T> &operator[](int k) const { return (A[k]); }
    Matrix &operator+=(const Matrix &B) {
        assert(A.size() == B.A.size() && A[0].size() == B.A[0].size());
        for (int i = 0; i < A.size(); i++)
            for (int j = 0; j < A[0].size(); j++) (*this)[i][j] += B[i][j];
        return (*this);
    }
    Matrix &operator-=(const Matrix &B) {
        assert(A.size() == B.A.size() && A[0].size() == B.A[0].size());
        for (int i = 0; i < A.size(); i++)
            for (int j = 0; j < A[0].size(); j++) (*this)[i][j] -= B[i][j];
        return (*this);
    }
    Matrix &operator*=(const Matrix &B) {
        int n = height(), m = B.width(), p = width();
        assert(p == B.height());
        std::vector<std::vector<T>> C(n, std::vector<T>(m, 0));
        for (int i = 0; i < n; i++)
            for (int j = 0; j < m; j++)
                for (int k = 0; k < p; k++) C[i][j] = (C[i][j] + (*this)[i][k] * B[k][j]);
        A.swap(C);
        return (*this);
    }
    Matrix operator+(const Matrix &B) const { return (Matrix(*this) += B); }
    Matrix operator-(const Matrix &B) const { return (Matrix(*this) -= B); }
    Matrix operator*(const Matrix &B) const { return (Matrix(*this) *= B); }
    std::vector<T> operator*(const std::vector<T> &x) const {
        int n = height(), m = width();
        assert(m == x.size());
        std::vector<T> ret(n);
        for (int i = 0; i < n; i++)
            for (int j = 0; j < m; j++) ret[i] += (*this)[i][j] * x[j];
        return ret;
    }
};

signed main() {
    Int n;
    std::cin >> n;
    std::vector<mint> x(6);
    x[0] = 1;
    Matrix<mint> A(6);
    REP(j, 6) A[0][j] = mint(1) / 6;
    REP(i, 1, 6) A[i][i - 1] = 1;
    auto ret = pow(A, n, Matrix<mint>::eye(6)) * x;
    std::cout << ret[0] << std::endl;
}
0