結果

問題 No.718 行列のできるフィボナッチ数列道場 (1)
ユーザー siganaisiganai
提出日時 2022-09-01 15:20:34
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 10,147 bytes
コンパイル時間 2,154 ms
コンパイル使用メモリ 209,404 KB
実行使用メモリ 6,820 KB
最終ジャッジ日時 2024-11-14 06:31:56
合計ジャッジ時間 3,032 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge4
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 1 ms
6,816 KB
testcase_01 AC 1 ms
6,820 KB
testcase_02 AC 2 ms
6,820 KB
testcase_03 AC 2 ms
6,816 KB
testcase_04 AC 2 ms
6,816 KB
testcase_05 AC 1 ms
6,816 KB
testcase_06 AC 2 ms
6,816 KB
testcase_07 AC 2 ms
6,816 KB
testcase_08 AC 1 ms
6,820 KB
testcase_09 AC 2 ms
6,816 KB
testcase_10 AC 2 ms
6,820 KB
testcase_11 AC 2 ms
6,816 KB
testcase_12 AC 2 ms
6,816 KB
testcase_13 AC 1 ms
6,820 KB
testcase_14 AC 1 ms
6,816 KB
testcase_15 AC 2 ms
6,820 KB
testcase_16 AC 2 ms
6,816 KB
testcase_17 AC 1 ms
6,816 KB
testcase_18 AC 2 ms
6,816 KB
testcase_19 AC 2 ms
6,820 KB
testcase_20 AC 2 ms
6,816 KB
testcase_21 AC 2 ms
6,816 KB
testcase_22 AC 2 ms
6,816 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 # 

#line 1 "test.cpp"
//#pragma GCC target("avx")
//#pragma GCC optimize("O3")
//#pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>

#ifdef LOCAL
#  include <debug.hpp>
#  define debug(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__)
#else
#  define debug(...) (static_cast<void>(0))
#endif
//#include "atcoder/convolution"
using namespace std;
//using namespace atcoder;
using ll = long long;
using ld = long double;
using pll = pair<ll, ll>;
using pii = pair<int, int>;
using vi = vector<int>;
using vvi = vector<vi>;
using vvvi = vector<vvi>;
using vl = vector<ll>;
using vvl = vector<vl>;
using vvvl = vector<vvl>;
using vs = vector<string>;
template<class T> using pq = priority_queue<T, vector<T>, greater<T>>;
#define overload4(_1, _2, _3, _4, name, ...) name
#define overload3(a,b,c,name,...) name
#define rep1(n) for (ll UNUSED_NUMBER = 0; UNUSED_NUMBER < (n); ++UNUSED_NUMBER)
#define rep2(i, n) for (ll i = 0; i < (n); ++i)
#define rep3(i, a, b) for (ll i = (a); i < (b); ++i)
#define rep4(i, a, b, c) for (ll i = (a); i < (b); i += (c))
#define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__)
#define rrep1(n) for(ll i = (n) - 1;i >= 0;i--)
#define rrep2(i,n) for(ll i = (n) - 1;i >= 0;i--)
#define rrep3(i,a,b) for(ll i = (b) - 1;i >= (a);i--)
#define rrep4(i,a,b,c) for(ll i = (a) + ((b)-(a)-1) / (c) * (c);i >= (a);i -= c)
#define rrep(...) overload4(__VA_ARGS__, rrep4, rrep3, rrep2, rrep1)(__VA_ARGS__)
#define all1(i) begin(i) , end(i)
#define all2(i,a) begin(i) , begin(i) + a
#define all3(i,a,b) begin(i) + a , begin(i) + b
#define all(...) overload3(__VA_ARGS__, all3, all2, all1)(__VA_ARGS__)
#define sum(...) accumulate(all(__VA_ARGS__),0LL)
template<class T> bool chmin(T &a, const T &b){ if(a > b){ a = b; return 1; } else return 0; }
template<class T> bool chmax(T &a, const T &b){ if(a < b){ a = b; return 1; } else return 0; }
template<class T> auto min(const T& a){ return *min_element(all(a)); }
template<class T> auto max(const T& a){ return *max_element(all(a)); }
template<class... Ts> void in(Ts&... t);
#define elif else if
#define vec(type,name,...) vector<type> name(__VA_ARGS__)
#define vv(type,name,h,...) vector<vector<type>>name(h,vector<type>(__VA_ARGS__))
#define INT(...) int __VA_ARGS__; in(__VA_ARGS__)
#define LL(...) ll __VA_ARGS__; in(__VA_ARGS__)
#define STR(...) string __VA_ARGS__; in(__VA_ARGS__)
#define CHR(...) char __VA_ARGS__; in(__VA_ARGS__)
#define DBL(...) double __VA_ARGS__; in(__VA_ARGS__)
#define LD(...) ld __VA_ARGS__; in(__VA_ARGS__)
#define VEC(type, name, size) vector<type> name(size); in(name)
#define VV(type, name, h, w) vector<vector<type>> name(h, vector<type>(w)); in(name)
ll intpow(ll a, ll b){ ll ans = 1; while(b){if(b & 1) ans *= a; a *= a; b /= 2;} return ans;}
ll modpow(ll a, ll b, ll p){ ll ans = 1; while(b){ if(b & 1) (ans *= a) %= p; (a *= a) %= p; b /= 2; } return ans; }
ll gcd(ll a,ll b) { if(a % b == 0) return b; else return gcd(b,a%b);}
ll lcm(ll a,ll b) { return a / gcd(a,b) * b;}
namespace IO{
#define VOID(a) decltype(void(a))
struct setting{
    setting(){
        cin.tie(nullptr); ios::sync_with_stdio(false);
        fixed(cout); cout.precision(12);
    }
} setting;
template<int I> struct P : P<I-1>{};
template<> struct P<0>{};
template<class T> void i(T& t){ i(t, P<3>{}); }
void i(vector<bool>::reference t, P<3>){ int a; i(a); t = a; }
template<class T> auto i(T& t, P<2>) -> VOID(cin >> t){ cin >> t; }
template<class T> auto i(T& t, P<1>) -> VOID(begin(t)){ for(auto&& x : t) i(x); }
template<class T, size_t... idx> void ituple(T& t, index_sequence<idx...>){
    in(get<idx>(t)...);
}
template<class T> auto i(T& t, P<0>) -> VOID(tuple_size<T>{}){
    ituple(t, make_index_sequence<tuple_size<T>::value>{});
}
#undef VOID
}
#define unpack(a) (void)initializer_list<int>{(a, 0)...}
template<class... Ts> void in(Ts&... t){ unpack(IO :: i(t)); }
#undef unpack
constexpr int mod = 1000000007;
//constexpr int mod = 998244353;
static const double PI = 3.1415926535897932;
template <class F> struct REC {
    F f;
    REC(F &&f_) : f(forward<F>(f_)) {}
    template <class... Args> auto operator()(Args &&...args) const { return f(*this, forward<Args>(args)...); }
};


#line 3 "library/matrix/matrix.hpp"
using namespace std;
template <class T>
struct Matrix {
    vector<vector<T>> A;

    Matrix() = default;
    Matrix(int n, int m) : A(n, vector<T>(m, T())) {}
    Matrix(int n) : A(n, vector<T>(n, T())){};

    int H() const { return A.size(); }

    int W() const { return A[0].size(); }

    int size() const { return A.size(); }

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

    inline vector<T> &operator[](int k) { return A[k]; }

    static Matrix I(int n) {
        Matrix mat(n);
        for (int i = 0; i < n; i++) mat[i][i] = 1;
        return (mat);
    }

    Matrix &operator+=(const Matrix &B) {
        int n = H(), m = W();
        assert(n == B.H() && m == B.W());
        for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) (*this)[i][j] += B[i][j];
        return (*this);
    }

    Matrix &operator-=(const Matrix &B) {
        int n = H(), m = W();
        assert(n == B.H() && m == B.W());
        for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) (*this)[i][j] -= B[i][j];
        return (*this);
    }

    Matrix &operator*=(const Matrix &B) {
        int n = H(), m = B.W(), p = W();
        assert(p == B.H());
        vector<vector<T> > C(n, vector<T>(m, T{}));
        for (int i = 0; i < n; i++)
            for (int k = 0; k < p; k++)
                for (int j = 0; j < m; j++) C[i][j] += (*this)[i][k] * B[k][j];
        A.swap(C);
        return (*this);
    }

    Matrix &operator^=(long long k) {
        Matrix B = Matrix::I(H());
        while (k > 0) {
            if (k & 1) B *= *this;
            *this *= *this;
            k >>= 1LL;
        }
        A.swap(B.A);
        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); }

    Matrix operator^(const long long k) const { return (Matrix(*this) ^= k); }

    bool operator==(const Matrix &B) const {
        assert(H() == B.H() && W() == B.W());
        for (int i = 0; i < H(); i++) for (int j = 0; j < W(); j++) {
            if (A[i][j] != B[i][j]) return false;
        }
        return true;
    }

    bool operator!=(const Matrix &B) const {
        assert(H() == B.H() && W() == B.W());
        for (int i = 0; i < H(); i++) for (int j = 0; j < W(); j++) {
            if (A[i][j] != B[i][j]) return true;
        }
        return false;
    }

    friend ostream &operator<<(ostream &os, const Matrix &p) {
        int n = p.H(), m = p.W();
        for (int i = 0; i < n; i++) {
            os << (i ? "   " : "") << "[";
            for (int j = 0; j < m; j++) {
                os << p[i][j] << (j + 1 == m ? "]\n" : ",");
            }
        }
        return (os);
    }

    T determinant() const {
        Matrix B(*this);
        assert(H() == W());
        T ret = 1;
        for (int i = 0; i < H(); i++) {
            int idx = -1;
            for (int j = i; j < W(); j++) {
                if (B[j][i] != 0) {
                    idx = j;
                    break;
                }
            }
            if (idx == -1) return 0;
            if (i != idx) {
                ret *= T(-1);
                swap(B[i], B[idx]);
            }
            ret *= B[i][i];
            T inv = T(1) / B[i][i];
            for (int j = 0; j < W(); j++) {
                B[i][j] *= inv;
            }
            for (int j = i + 1; j < H(); j++) {
                T a = B[j][i];
                if (a == 0) continue;
                for (int k = i; k < W(); k++) {
                    B[j][k] -= B[i][k] * a;
                }
            }
        }
    return ret;
    }
};
#line 2 "library/Modint.hpp"
template <int mod>
struct Modint{
    int x;
    Modint():x(0) {}

    Modint(long long y): x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {}
    
    Modint &operator += (const Modint &p) {
        if((x += p.x) >= mod) x -= mod;
        return *this;
    }
    Modint &operator -= (const Modint &p) {
        if ((x += mod - p.x) >= mod) x -= mod;
        return *this;
    }
    Modint &operator *= (const Modint &p) {
        x = (int)(1LL * x * p.x % mod);
        return *this;
    }
    Modint &operator /= (const Modint &p) {
        *this *= p.inverse();
        return *this;
    }
    Modint operator -() const{return Modint(-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;}
    Modint &operator ++() {if(x == mod - 1) x = 0; else x++; return *this;}
    Modint &operator --() {if(x == 0) x = mod - 1; else x--; return *this;} 
    bool operator == (const Modint &p) const {return x == p.x;}
    bool operator != (const Modint &p) const {return x != p.x;}
    Modint inverse() const {
        int a = x, b = mod, u = 1, v = 0, t;
        while (b > 0) {
            t = a / b;
            swap(a -= t * b, b);
            swap(u -= t * v, v);
        }
        return Modint(u);
    }
    Modint pow(long long n) const {
        Modint ret(1), mul(x);
        while (n > 0) {
            if (n & 1) ret *= mul;
            mul *= mul;
            n >>= 1;
        }
        return ret;
    }
  friend ostream &operator<<(ostream &os, const Modint &p) { return os << p.x; }

  friend istream &operator>>(istream &is, Modint &a) {
    long long t;
    is >> t;
    a = Modint<mod>(t);
    return (is);
  }
};
#line 101 "test.cpp"
using mint = Modint<mod>;

int main() {
    LL(n);
    Matrix<mint> mat(2);
    mat[0][1] = 1;
    mat[1][0] = 1;
    mat[1][1] = 1;
    mat ^= (n - 1);
    mint ans = (mat[0][0] + mat[0][1]) * (mat[1][0] + mat[1][1]);
    cout << ans << '\n';
}
0