結果
問題 | No.1073 無限すごろく |
ユーザー |
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提出日時 | 2020-06-05 21:47:44 |
言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
結果 |
AC
|
実行時間 | 63 ms / 2,000 ms |
コード長 | 4,160 bytes |
コンパイル時間 | 3,644 ms |
コンパイル使用メモリ | 202,568 KB |
最終ジャッジ日時 | 2025-01-10 22:26:55 |
ジャッジサーバーID (参考情報) |
judge2 / judge4 |
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ファイルパターン | 結果 |
---|---|
sample | AC * 3 |
other | AC * 30 |
ソースコード
#include <bits/stdc++.h>using namespace std;#define rep(i, n) for (int i = 0; i < (int)(n); i++)#define rrep(i, n) for (int i = (int)(n - 1); i >= 0; i--)#define all(x) (x).begin(), (x).end()#define sz(x) int(x.size())#define get_unique(x) x.erase(unique(all(x)), x.end());typedef long long ll;typedef complex<double> Complex;const int INF = 1e9;const ll MOD = 1e9 + 7;const ll LINF = 1e18;template <class T>bool chmax(T& a, const T& b) {if (a < b) {a = b;return 1;}return 0;}template <class T>bool chmin(T& a, const T& b) {if (b < a) {a = b;return 1;}return 0;}template <class T>vector<T> make_vec(size_t a) {return vector<T>(a);}template <class T, class... Ts>auto make_vec(size_t a, Ts... ts) {return vector<decltype(make_vec<T>(ts...))>(a, make_vec<T>(ts...));}template <typename T>ostream& operator<<(ostream& os, vector<T> v) {for (int i = 0; i < sz(v); i++) {os << v[i];if (i < sz(v) - 1) os << " ";}return os;}struct modint {ll x;modint(ll x = 0) : x((x % MOD + MOD) % MOD) {}ll value() const {return x;}modint operator-() const {return modint(-x);}modint& operator+=(const modint a) {if ((x += a.x) >= MOD) x -= MOD;return *this;}modint& operator-=(const modint a) {if ((x += MOD - a.x) >= MOD) x -= MOD;return *this;}modint& operator*=(const modint a) {(x *= a.x) %= MOD;return *this;}modint operator+(const modint a) const {modint res(*this);return res += a;}modint operator-(const modint a) const {modint res(*this);return res -= a;}modint operator*(const modint a) const {modint res(*this);return res *= a;}modint pow(ll t) const {if (t == 0) return 1;modint a = pow(t >> 1);a *= a;if (t % 2 == 1) a *= *this;return a;}modint inv() const {return pow(MOD - 2);}modint& operator/=(const modint a) {return (*this) *= a.inv();}modint operator/(const modint a) const {modint res(*this);return res /= a;}};ostream& operator<<(ostream& os, const modint& x) {os << x.value();return os;}struct combination {vector<modint> fact, ifact;combination(int n) : fact(n + 1), ifact(n + 1) {assert(n < MOD);fact[0] = 1;for (int i = 1; i <= n; i++) {fact[i] = fact[i - 1] * i;}ifact[n] = fact[n].inv();for (int i = n; i >= 1; i--) {ifact[i - 1] = ifact[i] * i;}}modint operator()(int n, int k) {if (n < k || k < 0) return 0;return fact[n] * ifact[k] * ifact[n - k];}modint h(int n, int k) {n += k - 1;if (k < 0 || k > n) return 0;return fact[n] * ifact[k] * ifact[n - k];}} comb(2002002);template <typename T>vector<vector<T>> matmul(vector<vector<T>>& a, vector<vector<T>>& b) {int n = sz(a), ma = sz(a[0]), mb = sz(b), p = sz(b[0]);assert(ma == mb);int m = ma;vector<vector<T>> ret(n, vector<T>(p));for (int i = 0; i < n; i++) {for (int j = 0; j < p; j++) {for (int k = 0; k < m; k++) {ret[i][j] += a[i][k] * b[k][j];}}}return ret;}template <typename T>vector<vector<T>> matpow(vector<vector<T>> mt, ll k) {int n = sz(mt);vector<vector<T>> ret(n);for (int i = 0; i < n; i++) {ret[i].resize(n);ret[i][i] = 1;}vector<vector<T>> now = mt;while (k) {if (k & 1) ret = matmul(ret, now);now = matmul(now, now);k /= 2;}return ret;}int main() {ll n;cin >> n;auto A = make_vec<modint>(6, 6);modint k = modint(1) / 6;rep(i, 6) A[0][i] = k;rep(i, 5) A[i + 1][i] = 1;auto B = make_vec<modint>(6, 1);B[0][0] = 1;A = matpow(A, n);A = matmul(A, B);cout << A[0][0] << endl;}