結果

問題 No.534 フィボナッチフィボナッチ数
コンテスト
ユーザー FF256grhy
提出日時 2018-08-04 17:19:27
言語 C++14
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 2 ms / 2,000 ms
コード長 5,824 bytes
コンパイル時間 2,365 ms
コンパイル使用メモリ 193,320 KB
実行使用メモリ 6,948 KB
最終ジャッジ日時 2024-09-19 17:53:12
合計ジャッジ時間 3,668 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge5
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ファイルパターン 結果
other AC * 42
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 namespace std;

typedef long long   signed int LL;
typedef long long unsigned int LU;

#define incID(i, l, r) for(int i = (l)    ; i <  (r); i++)
#define incII(i, l, r) for(int i = (l)    ; i <= (r); i++)
#define decID(i, l, r) for(int i = (r) - 1; i >= (l); i--)
#define decII(i, l, r) for(int i = (r)    ; i >= (l); i--)
#define  inc(i, n) incID(i, 0, n)
#define inc1(i, n) incII(i, 1, n)
#define  dec(i, n) decID(i, 0, n)
#define dec1(i, n) decII(i, 1, n)

#define inII(v, l, r) ((l) <= (v) && (v) <= (r))
#define inID(v, l, r) ((l) <= (v) && (v) <  (r))

#define PB push_back
#define EB emplace_back
#define MP make_pair
#define FI first
#define SE second
#define PQ priority_queue

#define  ALL(v)  v.begin(),  v.end()
#define RALL(v) v.rbegin(), v.rend()
#define  FOR(it, v) for(auto it =  v.begin(); it !=  v.end(); ++it)
#define RFOR(it, v) for(auto it = v.rbegin(); it != v.rend(); ++it)

template<typename T> bool   setmin(T & a, T b) { if(b <  a) { a = b; return true; } else { return false; } }
template<typename T> bool   setmax(T & a, T b) { if(b >  a) { a = b; return true; } else { return false; } }
template<typename T> bool setmineq(T & a, T b) { if(b <= a) { a = b; return true; } else { return false; } }
template<typename T> bool setmaxeq(T & a, T b) { if(b >= a) { a = b; return true; } else { return false; } }
template<typename T> T gcd(T a, T b) { return (b == 0 ? a : gcd(b, a % b)); }
template<typename T> T lcm(T a, T b) { return a / gcd(a, b) * b; }

// ---- ----

template<typename T, int N> struct Matrix {
	vector<vector<T>> a;
	Matrix(const vector<vector<T>> & v = { }) { init(v); }
	void init(const vector<vector<T>> & v) {
		a = vector<vector<T>>(N, vector<T>(N, 0));
		assert(v.size() <= N);
		inc(i, v.size()) { assert(v[i].size() <= N);
		inc(j, v[i].size()) {
			a[i][j] = v[i][j];
		}
		}
	}
	vector<T> & operator[](int i) { return a[i]; }
	Matrix id() {
		Matrix e;
		inc(i, N) { e[i][i] = 1; }
		return e;
	}
	Matrix tp() {
		Matrix b;
		inc(i, N) {
		inc(j, N) {
			b[j][i] = a[i][j];
		}
		}
		return b;
	}
	Matrix & operator+=(const Matrix & b) {
		inc(i, N) {
		inc(j, N) {
			a[i][j] += b.a[i][j];
		}
		}
		return (*this);
	}
	Matrix & operator*=(T b) {
		inc(i, N) {
		inc(j, N) {
			a[i][j] *= b;
		}
		}
		return (*this);
	}
	Matrix & operator*=(const Matrix & b) {
		Matrix c;
		inc(i, N) {
		inc(j, N) {
		inc(k, N) {
			c[i][j] += a[i][k] * b.a[k][j];
		}
		}
		}
		return (*this) = c;
	}
	Matrix & operator^=(LU b) {
		Matrix t[64], c = id();
		int D = 64;
		inc(i, D) { if((b >> i) == 0) { D = i; break; } }
		inc(i, D) { t[i] = (i == 0 ? (*this) : t[i - 1] * t[i - 1]); }
		inc(i, D) { if((b >> i) & 1) { c *= t[i]; } }
		return (*this) = c;
	}
	Matrix operator+(const Matrix & b) const { Matrix c = a; return c += b; }
	Matrix operator*(             T b) const { Matrix c = a; return c *= b; }
	Matrix operator*(const Matrix & b) const { Matrix c = a; return c *= b; }
	Matrix operator^(            LU b) const { Matrix c = a; return c ^= b; }
};
template<typename T, int N> Matrix<T, N> operator*(T a, const Matrix<T, N> & b) { return b * a; }
template<typename T, int N> ostream & operator<<(ostream & os, const Matrix<T, N> & m) {
	inc(i, N) {
	inc(j, N) {
		os << m.a[i][j] << " ";
	} os << endl;
	}
	return os;
}

// ---- ----

template<int N> class ModInt {
private:
	LL v;
	static LL m;
public:
	ModInt(LL vv = 0) { setval(vv); }
	ModInt & setval(LL vv) { v = vv % m; if(v < 0) { v += m; } return (*this); }
	static void setmod(LL mm) { m = mm; }
	LL getval() const { return v; }
	ModInt & operator+=(const ModInt & b)       { return setval(v + b.v); }
	ModInt & operator-=(const ModInt & b)       { return setval(v - b.v); }
	ModInt & operator*=(const ModInt & b)       { return setval(v * b.v); }
	ModInt & operator/=(const ModInt & b)       { return setval(v * b.inv()); }
	ModInt & operator^=(            LU b)       { return setval(ex(v, b)); }
	ModInt   operator+ (                ) const { return ModInt(+v); }
	ModInt   operator- (                ) const { return ModInt(-v); }
	ModInt   operator+ (const ModInt & b) const { return ModInt(v + b.v); }
	ModInt   operator- (const ModInt & b) const { return ModInt(v - b.v); }
	ModInt   operator* (const ModInt & b) const { return ModInt(v * b.v); }
	ModInt   operator/ (const ModInt & b) const { return ModInt(v * b.inv()); }
	ModInt   operator^ (            LU b) const { return ModInt(ex(v, b)); }
	LL inv() const {
		LL x = (ex_gcd(v, m).FI + m) % m;
		assert(x * v % m == 1);
		return x;
	}
	LL ex(LL a, LU b) const {
		LL D = 64, x[64], y = 1;
		inc(i, D) { if((b >> i) == 0) { D = i; break; } }
		inc(i, D) { x[i] = (i == 0 ? a : x[i - 1] * x[i - 1]) % m; }
		inc(i, D) { if((b >> i) & 1) { (y *= x[i]) %= m; } }
		return y;
	}
	pair<LL, LL> ex_gcd(LL a, LL b) const {
		if(b == 0) { return MP(1, 0); }
		auto p = ex_gcd(b, a % b);
		return MP(p.SE, p.FI - (a / b) * p.SE);
	}
};
template<int N> LL ModInt<N>::m;
template<int N> ModInt<N> operator+(LL a, const ModInt<N> & b) { return  b + a; }
template<int N> ModInt<N> operator-(LL a, const ModInt<N> & b) { return -b + a; }
template<int N> ModInt<N> operator*(LL a, const ModInt<N> & b) { return  b * a; }
template<int N> ModInt<N> operator/(LL a, const ModInt<N> & b) { return  a * b.inv(); }
template<int N> istream & operator>>(istream & is, ModInt<N> & b) { LL v; is >> v; b.setval(v); return is; }
template<int N> ostream & operator<<(ostream & os, const ModInt<N> & b) { return (os << b.getval()); }

// ---- ----

int main() {
	LL n;
	cin >> n;
	
	ModInt<0>::setmod(2e9 + 16);
	ModInt<1>::setmod(1e9 +  7);
	
	Matrix<ModInt<0>, 2> a0({ {1, 1}, {1, 0} });
	Matrix<ModInt<1>, 2> a1({ {1, 1}, {1, 0} });
	
	LL t = (a0 ^ n)[0][1].getval();
	LL x = (a1 ^ t)[0][1].getval();
	
	cout << x << endl;
	
	return 0;
}
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