結果

問題 No.793 うし数列 2
ユーザー spihillspihill
提出日時 2019-02-23 01:24:56
言語 C++14
(gcc 13.2.0 + boost 1.83.0)
結果
AC  
実行時間 2 ms / 2,000 ms
コード長 8,923 bytes
コンパイル時間 1,896 ms
コンパイル使用メモリ 180,744 KB
実行使用メモリ 4,384 KB
最終ジャッジ日時 2023-08-17 14:08:54
合計ジャッジ時間 2,850 ms
ジャッジサーバーID
（参考情報） 		judge15 / judge14
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
4,384 KB
testcase_01 AC 1 ms
4,376 KB
testcase_02 AC 1 ms
4,376 KB
testcase_03 AC 1 ms
4,380 KB
testcase_04 AC 1 ms
4,380 KB
testcase_05 AC 1 ms
4,380 KB
testcase_06 AC 1 ms
4,380 KB
testcase_07 AC 1 ms
4,376 KB
testcase_08 AC 1 ms
4,376 KB
testcase_09 AC 2 ms
4,380 KB
testcase_10 AC 2 ms
4,380 KB
testcase_11 AC 1 ms
4,380 KB
testcase_12 AC 1 ms
4,380 KB
testcase_13 AC 2 ms
4,376 KB
testcase_14 AC 2 ms
4,376 KB
testcase_15 AC 1 ms
4,376 KB
testcase_16 AC 1 ms
4,380 KB
testcase_17 AC 1 ms
4,380 KB
testcase_18 AC 1 ms
4,376 KB
testcase_19 AC 1 ms
4,376 KB
testcase_20 AC 1 ms
4,376 KB
testcase_21 AC 2 ms
4,376 KB
testcase_22 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>

using namespace std;
using ll = long long;

#define int ll

#define rep(i, a) for (int i = 0; (i) < (int) (a); (i)++)
#define reps(i, a, b) for (int i = (int) (a); (i) < (int) (b); (i)++)
#define rrep(i, a) for (int i = (int) a-1; (i) >= 0; (i)--)
#define rreps(i, a, b) for (int i = (int) (a)-1; (i) >= (int) (b); (i)--)
#define MP(a, b) make_pair((a), (b))
#define PB(a) push_back((a))
#define all(v) (v).begin(), (v).end()
#define PERM(v) next_permutation(all(v))
#define UNIQUE(v) sort(all(v));(v).erase(unique(all(v)), v.end())
#define CIN(type, x) type x;cin >> x
#define TRUE__  "CONTINUE"
#define FALSE__ "GAMEOVER"
#define PRINT(f) if((f)){cout << (TRUE__) << endl;}else{cout << FALSE__ << endl;}
#define YES(f) if((f)){cout << "YES" << endl;}else{cout << "NO" << endl;}
#define Yes(f) if((f)){cout << "Yes" << endl;}else{cout << "No" << endl;}
#define MINV(v) min_element(all(v))
#define MAXV(v) max_element(all(v))
#define MIN3(a, b, c) min(min(a, b), c)
#define MIN4(a, b, c, d) min(MIN3(a, b, c), d)
#define MIN5(a, b, c, d, e) min(MIN4(a, b, c, d), e)
#define MIN6(a, b, c, d, e, f) min(MIN5(a, b, c, d, e), f)
#define MAX3(a, b, c) max(max(a, b), c)
#define MAX4(a, b, c, d) max(MAX3(a, b, c), d)
#define MAX5(a, b, c, d, e) max(MAX4(a, b, c, d), e)
#define MAX6(a, b, c, d, e, f) max(MAX5(a, b, c, d, e), f)
#define RANGE(a, b, c) ((a) <= (b) && (b) < (c))
#define RANGE2D(a, b, c, d, e, f) (RANGE((a), (c), (e)) && RANGE((b), (d), (f)))
#define chmin(a, b) a = min(a, (b))
#define chmin3(a, b, c) a = MIN3(a, (b), (c))
#define chmin4(a, b, c, d) a = MIN4(a, (b), (c), (d))
#define chmin5(a, b, c, d, e) a = MIN5(a, (b), (c), (d), (e))
#define chmin6(a, b, c, d, e, f) a = MIN6(a, (b), (c), (d), (e), (f))
#define chmax(a, b) a = max(a, (b))
#define chmax3(a, b, c) a = MAX3(a, (b), (c))
#define chmax4(a, b, c, d) a = MAX4(a, (b), (c), (d))
#define chmax5(a, b, c, d, e) a = MAX5(a, (b), (c), (d), (e))
#define chmax6(a, b, c, d, e, f) a = MAX6(a, (b), (c), (d), (e), (f))

#define RS resize
#define CINV(v, N) do {\
	v.RS(N);\
	rep(i, N) cin >> v[i];\
} while (0);
#define RCINV(v, N) do {\
	v.RS(N);\
	rrep(i, N) cin >> v[i];\
} while (0);
#define fcout cout << fixed << setprecision(12)

#define MOD 1000000007

template<class T>
inline T GET() {
	T x;
	cin >> x;
	return x;
}

void init();
void solve();

signed main()
{
	init();
	solve();
}

namespace mylib {
	using namespace std;
	static const int mod = 1000000007;
	struct ModInt {
		int value;
		ModInt(int x) : value(x) {}
		ModInt(void) : value(0) {}
		inline ModInt& operator+=(const ModInt& rhs)
		{
			(*this) += rhs.value;
			return *this;
		}
		inline ModInt& operator+=(const int rhs)
		{
			value += rhs;
			value %= mod;
			return *this;
		}
		inline ModInt& operator-=(const ModInt& rhs)
		{
			(*this) -= rhs.value;
			return *this;
		}
		inline ModInt& operator-=(const int rhs)
		{
			value += mod - rhs;
			value %= mod;
			return *this;
		}
		inline ModInt& operator*=(const ModInt& rhs)
		{
			(*this) *= rhs.value;
			return *this;
		}
		inline ModInt& operator*=(const int rhs)
		{
			long long res = (long long) value * rhs;
			value = res % mod;
			return *this;
		}
		inline ModInt& operator/=(const ModInt& rhs)
		{
			(*this) /= rhs.value;
			return *this;
		}
		inline ModInt& operator/=(const int rhs)
		{
			long long res = modpow(rhs);
			(*this) *= res;
			return *this;
		}
		inline ModInt& operator=(const ModInt& rhs)
		{
			(*this) = rhs.value;
			return *this;
		}
		inline ModInt& operator=(const int& rhs)
		{
			(*this).value = rhs % mod;
			return *this;
		}
		inline int operator==(const ModInt& rhs) const
		{
			return (*this) == rhs.value;
		}
		inline int operator==(const int rhs) const
		{
			return (*this).value == rhs % mod;
		}
		inline int operator!=(const ModInt& rhs) const
		{
			return (*this) != rhs.value;
		}
		inline int operator!=(const int rhs) const
		{
			return (*this).value != rhs % mod;
		}
		int modpow(const int val, int p = mod - 2)
		{
			if (p == 0) return 1;
			long long res = 1;
			if (p % 2) {
				res = val;
			}
			long long t = modpow(val, p / 2);
			t = t * t % mod;
			res = res * t % mod;
			return (int) res;
		}
		operator int() const
		{
			return value;
		}
	};
	ostream& operator<<(ostream& lhs, const ModInt& rhs)
	{
		lhs << rhs.value;
		return lhs;
	}
	istream& operator>>(istream& lhs, ModInt& rhs)
	{
		long long t;
		lhs >> t;
		rhs.value = t % mod;
		return lhs;
	}
	const ModInt operator+(const ModInt& lhs, const ModInt& rhs)  {return ModInt(lhs) += rhs;}
	const ModInt operator+(const ModInt& lhs, const int rhs)      {return ModInt(lhs) += rhs;}
	const ModInt operator+(int lhs, const ModInt& rhs)            {return ModInt(lhs) += rhs;}
	const ModInt operator-(const ModInt& lhs, const ModInt& rhs)  {return ModInt(lhs) -= rhs;}
	const ModInt operator-(const ModInt& lhs, const int rhs)      {return ModInt(lhs) -= rhs;}
	const ModInt operator-(int lhs, const ModInt& rhs)            {return ModInt(lhs) -= rhs;}
	const ModInt operator*(const ModInt& lhs, const ModInt& rhs)  {return ModInt(lhs) *= rhs;}
	const ModInt operator*(const ModInt& lhs, const int rhs)      {return ModInt(lhs) *= rhs;}
	const ModInt operator*(int lhs, const ModInt& rhs)            {return ModInt(lhs) *= rhs;}
	const ModInt operator/(const ModInt& lhs, const ModInt& rhs)  {return ModInt(lhs) /= rhs;}
	const ModInt operator/(const ModInt& lhs, const int rhs)      {return ModInt(lhs) /= rhs;}
	const ModInt operator/(int lhs, const ModInt& rhs)            {return ModInt(lhs) /= rhs;}
	const int    operator==(int lhs, const ModInt& rhs)           {return ModInt(lhs) == rhs;}
	const int    operator!=(int lhs, const ModInt& rhs)           {return ModInt(lhs) != rhs;}
}
using namespace mylib;

ModInt mpow(ModInt a, ll b)
{
	if (b == 0) return 1;
	if (b % 2) {
		return a * mpow(a, b-1);
	}
	ModInt r = mpow(a, b/2);
	return r * r;
}

namespace mylib
{
template <typename T>
struct Matrix
{
	int row;
	int column;
	vector<vector<T>> v;
	vector<T> &operator[](int i) { return (v[i]); }
	Matrix(int i, int j)
	{
		init(i, j);
	}
	Matrix()
	{
		init(0, 0);
	}
	void init(int i, int j)
	{
		row = i;
		column = j;
		v.RS(i, vector<T>(j, 0));
	}
	Matrix(const Matrix &cp)
	{
		row = cp.row;
		column = cp.column;
		v = cp.v;
	}
	~Matrix()
	{
	}
	Matrix operator=(const Matrix &a)
	{
		row = a.row;
		column = a.column;
		v = a.v;
		return (*this);
	}

	Matrix operator+(const Matrix &a)
	{
		Matrix r(row, column);
		for (int i = 0; i < row; i++)
		{
			for (int j = 0; j < column; j++)
			{
				r.v[i][j] = v[i][j] + a.v[i][j];
			}
		}
		return (r);
	}

	Matrix operator-(const Matrix &a)
	{
		Matrix r(row, column);
		for (int i = 0; i < row; i++)
		{
			for (int j = 0; j < column; j++)
			{
				r.v[i][j] = v[i][j] - a.v[i][j];
			}
		}
		return (r);
	}
	Matrix operator*(const Matrix &a)
	{
		Matrix r(row, a.column);
		for (int i = 0; i < row; i++)
		{
			for (int j = 0; j < a.column; j++)
			{
				for (int k = 0; k < column; k++)
				{
					r.v[i][j] += v[i][k] * a.v[k][j];
				}
			}
		}
		return (r);
	}
	Matrix operator*(const int b)
	{
		Matrix r(row, column);
		for (int i = 0; i < row; i++)
		{
			for (int j = 0; j < column; j++)
			{
				r.v[i][j] = b * v[i][j];
			}
		}
		return (r);
	}
	Matrix operator+(const int b)
	{
		Matrix r(row, column);
		for (int i = 0; i < row; i++)
		{
			for (int j = 0; j < column; j++)
			{
				r.v[i][j] = b + v[i][j];
			}
		}
		return (r);
	}
	Matrix operator-(const int b)
	{
		Matrix r(row, column);
		for (int i = 0; i < row; i++)
		{
			for (int j = 0; j < column; j++)
			{
				r.v[i][j] = v[i][j] - b;
			}
		}
		return (r);
	}
	void unit_matrix()
	{
		int n = row;
		for (int i = 0; i < n; i++)
		{
			for (int j = 0; j < n; j++)
			{
				v[i][j] = 0;
				if (i == j)
					v[i][j] = 1;
			}
		}
	}
	Matrix<T> accumu_sum()
	{
		Matrix<T> r(this->row+1, this->column+1);
		for (int i = 1; i <= this->row; i++)
		{
			for (int j = 1; j <= this->column; j++)
			{
				r[i][j] = this->v[i-1][j-1] + r[i-1][j] + r[i][j-1] - r[i-1][j-1];
			}
		}
		return (r);
	}
	T get_sum_accumu(int r1, int c1, int r2, int c2) //半開区間で指定
	{
		return v[r2][c2] + v[r1][c1] - v[r2][c1] - v[r1][c2];
	}

	Matrix transposed()
	{
		Matrix t(column, row);
		for (int i = 0; i < row; i++)
		{
			for (int j = 0; j < column; j++)
			{
				t[j][i] = v[i][j];
			}
		}
		return (t);
	}
};
}

using namespace mylib;

Matrix<ModInt> mpow(Matrix<ModInt> x, ll y)
{
	if (y == 1) {
		return x;
	}
	if (y % 2) {
		return x * mpow(x, y-1);
	}
	auto r = mpow(x, y/2);
	return r * r;
}

void init()
{
	int N;
	cin >> N;
	if (N == 1) {
		cout << 13 << endl;
		return;
	}
	Matrix<ModInt> A(2, 2);
	A[0][0] = 10;
	A[0][1] = 3;
	A[1][0] = 0;
	A[1][1] = 1;
	A = mpow(A, N-1);
	Matrix<ModInt> B(2, 1);
	B[0][0] = 13;
	B[1][0] = 1;
	Matrix<ModInt> C(2, 1);
	C = A * B;
	cout << C[0][0] << endl;
}

void solve()
{
}
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