結果

問題 No.1704 Many Bus Stops (easy)
ユーザー 👑 emthrm
提出日時 2021-10-08 22:10:48
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 126 ms / 2,000 ms
コード長 6,886 bytes
コンパイル時間 2,488 ms
コンパイル使用メモリ 203,252 KB
最終ジャッジ日時 2025-01-24 22:15:50
ジャッジサーバーID
(参考情報)
judge2 / judge1
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 * 1
other AC * 41
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ソースコード

diff #
プレゼンテーションモードにする

#define _USE_MATH_DEFINES
#include <bits/stdc++.h>
using namespace std;
#define FOR(i,m,n) for(int i=(m);i<(n);++i)
#define REP(i,n) FOR(i,0,n)
#define ALL(v) (v).begin(),(v).end()
using ll = long long;
constexpr int INF = 0x3f3f3f3f;
constexpr long long LINF = 0x3f3f3f3f3f3f3f3fLL;
constexpr double EPS = 1e-8;
constexpr int MOD = 1000000007;
// constexpr int MOD = 998244353;
constexpr int DY[]{1, 0, -1, 0}, DX[]{0, -1, 0, 1};
constexpr int DY8[]{1, 1, 0, -1, -1, -1, 0, 1}, DX8[]{0, -1, -1, -1, 0, 1, 1, 1};
template <typename T, typename U> inline bool chmax(T &a, U b) { return a < b ? (a = b, true) : false; }
template <typename T, typename U> inline bool chmin(T &a, U b) { return a > b ? (a = b, true) : false; }
struct IOSetup {
IOSetup() {
std::cin.tie(nullptr);
std::ios_base::sync_with_stdio(false);
std::cout << fixed << setprecision(20);
}
} iosetup;
template <int M>
struct MInt {
unsigned int val;
MInt(): val(0) {}
MInt(long long x) : val(x >= 0 ? x % M : x % M + M) {}
static constexpr int get_mod() { return M; }
static void set_mod(int divisor) { assert(divisor == M); }
static void init(int x = 10000000) { inv(x, true); fact(x); fact_inv(x); }
static MInt inv(int x, bool init = false) {
// assert(0 <= x && x < M && std::__gcd(x, M) == 1);
static std::vector<MInt> inverse{0, 1};
int prev = inverse.size();
if (init && x >= prev) {
// "x!" and "M" must be disjoint.
inverse.resize(x + 1);
for (int i = prev; i <= x; ++i) inverse[i] = -inverse[M % i] * (M / i);
}
if (x < inverse.size()) return inverse[x];
unsigned int a = x, b = M; int u = 1, v = 0;
while (b) {
unsigned int q = a / b;
std::swap(a -= q * b, b);
std::swap(u -= q * v, v);
}
return u;
}
static MInt fact(int x) {
static std::vector<MInt> f{1};
int prev = f.size();
if (x >= prev) {
f.resize(x + 1);
for (int i = prev; i <= x; ++i) f[i] = f[i - 1] * i;
}
return f[x];
}
static MInt fact_inv(int x) {
static std::vector<MInt> finv{1};
int prev = finv.size();
if (x >= prev) {
finv.resize(x + 1);
finv[x] = inv(fact(x).val);
for (int i = x; i > prev; --i) finv[i - 1] = finv[i] * i;
}
return finv[x];
}
static MInt nCk(int n, int k) {
if (n < 0 || n < k || k < 0) return 0;
if (n - k > k) k = n - k;
return fact(n) * fact_inv(k) * fact_inv(n - k);
}
static MInt nPk(int n, int k) { return n < 0 || n < k || k < 0 ? 0 : fact(n) * fact_inv(n - k); }
static MInt nHk(int n, int k) { return n < 0 || k < 0 ? 0 : (k == 0 ? 1 : nCk(n + k - 1, k)); }
static MInt large_nCk(long long n, int k) {
if (n < 0 || n < k || k < 0) return 0;
inv(k, true);
MInt res = 1;
for (int i = 1; i <= k; ++i) res *= inv(i) * n--;
return res;
}
MInt pow(long long exponent) const {
MInt tmp = *this, res = 1;
while (exponent > 0) {
if (exponent & 1) res *= tmp;
tmp *= tmp;
exponent >>= 1;
}
return res;
}
MInt &operator+=(const MInt &x) { if((val += x.val) >= M) val -= M; return *this; }
MInt &operator-=(const MInt &x) { if((val += M - x.val) >= M) val -= M; return *this; }
MInt &operator*=(const MInt &x) { val = static_cast<unsigned long long>(val) * x.val % M; return *this; }
MInt &operator/=(const MInt &x) { return *this *= inv(x.val); }
bool operator==(const MInt &x) const { return val == x.val; }
bool operator!=(const MInt &x) const { return val != x.val; }
bool operator<(const MInt &x) const { return val < x.val; }
bool operator<=(const MInt &x) const { return val <= x.val; }
bool operator>(const MInt &x) const { return val > x.val; }
bool operator>=(const MInt &x) const { return val >= x.val; }
MInt &operator++() { if (++val == M) val = 0; return *this; }
MInt operator++(int) { MInt res = *this; ++*this; return res; }
MInt &operator--() { val = (val == 0 ? M : val) - 1; return *this; }
MInt operator--(int) { MInt res = *this; --*this; return res; }
MInt operator+() const { return *this; }
MInt operator-() const { return MInt(val ? M - val : 0); }
MInt operator+(const MInt &x) const { return MInt(*this) += x; }
MInt operator-(const MInt &x) const { return MInt(*this) -= x; }
MInt operator*(const MInt &x) const { return MInt(*this) *= x; }
MInt operator/(const MInt &x) const { return MInt(*this) /= x; }
friend std::ostream &operator<<(std::ostream &os, const MInt &x) { return os << x.val; }
friend std::istream &operator>>(std::istream &is, MInt &x) { long long val; is >> val; x = MInt(val); return is; }
};
namespace std { template <int M> MInt<M> abs(const MInt<M> &x) { return x; } }
using ModInt = MInt<MOD>;
template <typename T>
struct Matrix {
Matrix(int m, int n, T val = 0) : dat(m, std::vector<T>(n, val)) {}
int height() const { return dat.size(); }
int width() const { return dat.front().size(); }
Matrix pow(long long exponent) const {
int n = height();
Matrix<T> tmp = *this, res(n, n, 0);
for (int i = 0; i < n; ++i) res[i][i] = 1;
while (exponent > 0) {
if (exponent & 1) res *= tmp;
tmp *= tmp;
exponent >>= 1;
}
return res;
}
inline const std::vector<T> &operator[](const int idx) const { return dat[idx]; }
inline std::vector<T> &operator[](const int idx) { return dat[idx]; }
Matrix &operator=(const Matrix &x) {
int m = x.height(), n = x.width();
dat.resize(m, std::vector<T>(n));
for (int i = 0; i < m; ++i) for (int j = 0; j < n; ++j) dat[i][j] = x[i][j];
return *this;
}
Matrix &operator+=(const Matrix &x) {
int m = height(), n = width();
for (int i = 0; i < m; ++i) for (int j = 0; j < n; ++j) dat[i][j] += x[i][j];
return *this;
}
Matrix &operator-=(const Matrix &x) {
int m = height(), n = width();
for (int i = 0; i < m; ++i) for (int j = 0; j < n; ++j) dat[i][j] -= x[i][j];
return *this;
}
Matrix &operator*=(const Matrix &x) {
int m = height(), n = x.width(), l = width();
std::vector<std::vector<T>> res(m, std::vector<T>(n, 0));
for (int i = 0; i < m; ++i) for (int j = 0; j < n; ++j) {
for (int k = 0; k < l; ++k) res[i][j] += dat[i][k] * x[k][j];
}
std::swap(dat, res);
return *this;
}
Matrix operator+(const Matrix &x) const { return Matrix(*this) += x; }
Matrix operator-(const Matrix &x) const { return Matrix(*this) -= x; }
Matrix operator*(const Matrix &x) const { return Matrix(*this) *= x; }
private:
std::vector<std::vector<T>> dat;
};
int main() {
constexpr int L = 6;
Matrix<ModInt> m(L, L);
m[0][1] = m[2][3] = m[4][5] = 1;
m[0][0] = m[2][2] = m[4][4] = ModInt::inv(3);
m[3][0] = m[5][0] = m[1][2] = m[5][2] = m[1][4] = m[3][4] = ModInt::inv(3);
int t; cin >> t;
while (t--) {
int n; cin >> n;
cout << m.pow(n)[0][0] << '\n';
}
return 0;
}
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