結果

問題 No.1073 無限すごろく
ユーザー minatominato
提出日時 2020-06-05 21:42:02
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 5 ms / 2,000 ms
コード長 5,473 bytes
コンパイル時間 4,764 ms
コンパイル使用メモリ 236,852 KB
最終ジャッジ日時 2025-01-10 22:23:36
ジャッジサーバーID
（参考情報） 		judge2 / judge3
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 3
other AC * 30
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 # 

#pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
using ll = long long;
using u64 = uint_fast64_t;
using pii =  pair<int, int>;
using pll =  pair<long long, long long>;
#define rep(i, n) for(int i = 0; i < (n); ++i)
#define all(x) (x).begin(),(x).end()
constexpr char ln =  '\n';
constexpr long long MOD = 1000000007;
//constexpr long long MOD = 998244353;
template<class T1, class T2> inline bool chmax(T1 &a, T2 b) { if (a < b) { a = b; return true;} return false; }
template<class T1, class T2> inline bool chmin(T1 &a, T2 b) { if (a > b) { a = b; return true;} return false; }
inline int popcount(int x) {return __builtin_popcount(x);}
inline int popcount(long long x) {return __builtin_popcountll(x);}
void print() { cout << "\n"; }
template<class T, class... Args>
void print(const T &x, const Args &... args) {
    cout << x << " ";
    print(args...);
}
///////////////////////////////////////////////////////////////////////////////////////////////////////////////

template <uint_fast64_t Modulus> 
struct ModInt {
    using u64 = uint_fast64_t;

    u64 a;

    constexpr ModInt(const long long x = 0) noexcept : a(x >= 0 ? x % Modulus : (Modulus - (-x) % Modulus) % Modulus) {}
    constexpr u64 &value() noexcept {return a;}
    constexpr const u64 &value() const noexcept {return a;}
    constexpr ModInt operator+(const ModInt rhs) const noexcept {return ModInt(*this) += rhs;}
    constexpr ModInt operator-(const ModInt rhs) const noexcept {return ModInt(*this) -= rhs;}
    constexpr ModInt operator*(const ModInt rhs) const noexcept {return ModInt(*this) *= rhs;}
    constexpr ModInt operator/(const ModInt rhs) const noexcept {return ModInt(*this) /= rhs;}
    constexpr ModInt operator^(const long long rhs) const noexcept {return ModInt(*this) ^= rhs;}
    constexpr bool operator==(const ModInt &rhs) const noexcept {return a == rhs.a;}
    constexpr bool operator!=(const ModInt &rhs) const noexcept {return a != rhs.a;}
    constexpr ModInt &operator+=(const ModInt rhs) noexcept {
        a += rhs.a;
        if (a >= Modulus) {
            a -= Modulus;
        }
        return *this;
    }
    constexpr ModInt &operator-=(const ModInt rhs) noexcept {
        if (a < rhs.a) {
            a += Modulus;
        }
        a -= rhs.a;
        return *this;
    }
    constexpr ModInt &operator*=(const ModInt rhs) noexcept {
        a = a * rhs.a % Modulus;
        return *this;
    }
    constexpr ModInt &operator/=(ModInt rhs) noexcept {
        u64 exp = Modulus - 2;
        while (exp) {
            if (exp&1) *this *= rhs;
            exp >>= 1;
            rhs *= rhs;
        }
        return *this;
    }
    constexpr ModInt &operator^=(long long exp) noexcept {
        ModInt rhs = a;
        a = 1;
        while (exp) {
            if (exp&1) *this *= rhs;
            exp >>= 1;
            rhs *= rhs;
        }
        return *this;
    }

    friend ostream &operator<<(ostream& os, const ModInt& rhs) noexcept {return os << rhs.a;}
    friend istream &operator>>(istream& is, ModInt& rhs) noexcept {long long a; is >> a; rhs = a; return is;}
};

using mint = ModInt<MOD>;

template<typename T, int sz>
struct Matrix {
   	array<array<T, sz>, sz> A;
	int N;

   	Matrix() : N(sz) {}
   	Matrix(int N) : N(N) {}

	inline const array<T, sz> &operator[](int k) const {return A[k];}
  	inline array<T, sz> &operator[](int k) {return A[k];}

  	static Matrix I(int N) {
    	Matrix<T, sz> mat(N);
    	for(int i = 0; i < N; ++i) mat[i][i] = 1;
    	return mat;
  	}

  	Matrix &operator+=(const Matrix &B) noexcept {
    	for(int i = 0; i < N; ++i) {
      	    for(int j = 0; j < N; ++j) {
        	    (*this)[i][j] += B[i][j];
            }
        }
    	return *this;
  	}

  	Matrix &operator-=(const Matrix &B) noexcept {
    	for(int i = 0; i < N; ++i) {
      		for(int j = 0; j < N; ++j) {
				(*this)[i][j] -= B[i][j];
			}
		}
    	return *this;
  	}

    Matrix &operator*=(const Matrix &B) noexcept {
        Matrix<T, sz> C(N);
        for(int i = 0; i < N; ++i) {
            for(int k = 0; k < N; ++k) {
                for(int j = 0; j < N; ++j) {
                    C[i][j] += (*this)[i][k] * B[k][j];
                }
            }
        }
        for (int i = 0; i < N; ++i) {
            for (int j = 0; j < N; ++j) {
                swap(A[i][j],C.A[i][j]);
            }
        }
        return *this;
    }

    Matrix &operator^=(long long k) noexcept {
        Matrix<T, sz> B = Matrix<T, sz>::I(N);
        while(k) {
            if(k & 1) B *= *this;
            *this *= *this;
            k >>= 1;
        }
        for (int i = 0; i < N; ++i) {
            for (int j = 0; j < N; ++j) {
                swap(A[i][j],B.A[i][j]);
            }
        }
        return *this;
    }

    Matrix operator+(const Matrix &B) const noexcept {return (Matrix(*this) += B);}
    Matrix operator-(const Matrix &B) const noexcept {return (Matrix(*this) -= B);}
    Matrix operator*(const Matrix &B) const noexcept {return (Matrix(*this) *= B);}
    Matrix operator^(const long long k) const noexcept {return (Matrix(*this) ^= k);}
};

int main() {
    ios::sync_with_stdio(false); cin.tie(nullptr);
    ll N; cin >> N;
    Matrix<mint, 6> mat(6);
    mint b = mint(1)/6;
    rep(i,6) mat[0][i] = b;
    rep(i,5) mat[i+1][i] = 1;
    mat^= N;
    cout << mat[0][0] << ln;
}
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