結果

問題 No.793 うし数列 2
ユーザー spihill
提出日時 2019-02-23 01:24:56
言語 C++14
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 3 ms / 2,000 ms
コード長 8,923 bytes
コンパイル時間 2,139 ms
コンパイル使用メモリ 183,548 KB
実行使用メモリ 6,820 KB
最終ジャッジ日時 2024-11-26 11:03:19
合計ジャッジ時間 2,863 ms
ジャッジサーバーID
(参考情報)
judge3 / judge4
このコードへのチャレンジ
(要ログイン)
ファイルパターン 結果
sample AC * 2
other AC * 21
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 #
プレゼンテーションモードにする

#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) //
{
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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