結果
問題 | No.1521 Playing Musical Chairs Alone |
ユーザー |
![]() |
提出日時 | 2021-05-28 21:52:54 |
言語 | C++14 (gcc 13.3.0 + boost 1.87.0) |
結果 |
AC
|
実行時間 | 112 ms / 2,000 ms |
コード長 | 6,372 bytes |
コンパイル時間 | 2,062 ms |
コンパイル使用メモリ | 178,496 KB |
実行使用メモリ | 5,248 KB |
最終ジャッジ日時 | 2024-11-07 09:24:02 |
合計ジャッジ時間 | 4,188 ms |
ジャッジサーバーID (参考情報) |
judge1 / judge3 |
(要ログイン)
ファイルパターン | 結果 |
---|---|
sample | AC * 3 |
other | AC * 23 |
ソースコード
#include <bits/stdc++.h>//#include <atcoder/all>//using namespace atcoder;#pragma GCC target ("avx2")#pragma GCC optimization ("O3")#pragma GCC optimization ("unroll-loops")using namespace std;typedef vector<int> VI;typedef vector<VI> VVI;typedef vector<string> VS;typedef pair<int, int> PII;typedef pair<int, int> pii;typedef pair<long long, long long> PLL;typedef pair<int, PII> TIII;typedef long long ll;typedef long double ld;typedef unsigned long long ull;#define FOR(i, s, n) for (int i = s; i < (int)n; ++i)#define REP(i, n) FOR(i, 0, n)#define rep(i, a, b) for (int i = a; i < (b); ++i)#define trav(a, x) for (auto &a : x)#define all(x) x.begin(), x.end()#define MOD 1000000007template<class T1, class T2> inline bool chmax(T1 &a, T2 b) {if (a < b) {a = b; return true;} return false;}template<class T1, class T2> inline bool chmin(T1 &a, T2 b) {if (a > b) {a = b; return true;} return false;}const double EPS = 1e-12, PI = acos(-1);const double pi = 3.141592653589793238462643383279;//ここから編集typedef string::const_iterator State;ll GCD(ll a, ll b){return (b==0)?a:GCD(b, a%b);}ll LCM(ll a, ll b){return a/GCD(a, b) * b;}template< int mod >struct ModInt {int x;ModInt() : x(0) {}ModInt(int64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {}ModInt &operator+=(const ModInt &p) {if((x += p.x) >= mod) x -= mod;return *this;}ModInt &operator-=(const ModInt &p) {if((x += mod - p.x) >= mod) x -= mod;return *this;}ModInt &operator*=(const ModInt &p) {x = (int) (1LL * x * p.x % mod);return *this;}ModInt &operator/=(const ModInt &p) {*this *= p.inverse();return *this;}ModInt operator-() const { return ModInt(-x); }ModInt operator+(const ModInt &p) const { return ModInt(*this) += p; }ModInt operator-(const ModInt &p) const { return ModInt(*this) -= p; }ModInt operator*(const ModInt &p) const { return ModInt(*this) *= p; }ModInt operator/(const ModInt &p) const { return ModInt(*this) /= p; }bool operator==(const ModInt &p) const { return x == p.x; }bool operator!=(const ModInt &p) const { return x != p.x; }ModInt inverse() const {int a = x, b = mod, u = 1, v = 0, t;while(b > 0) {t = a / b;swap(a -= t * b, b);swap(u -= t * v, v);}return ModInt(u);}ModInt pow(int64_t n) const {ModInt ret(1), mul(x);while(n > 0) {if(n & 1) ret *= mul;mul *= mul;n >>= 1;}return ret;}friend ostream &operator<<(ostream &os, const ModInt &p) {return os << p.x;}friend istream &operator>>(istream &is, ModInt &a) {int64_t t;is >> t;a = ModInt< mod >(t);return (is);}static int get_mod() { return mod; }};using modint = ModInt< 1000000007 >;template< typename T >struct Combination {vector< T > _fact, _rfact, _inv;Combination(int sz) : _fact(sz + 1), _rfact(sz + 1), _inv(sz + 1) {_fact[0] = _rfact[sz] = _inv[0] = 1;for(int i = 1; i <= sz; i++) _fact[i] = _fact[i - 1] * i;_rfact[sz] /= _fact[sz];for(int i = sz - 1; i >= 0; i--) _rfact[i] = _rfact[i + 1] * (i + 1);for(int i = 1; i <= sz; i++) _inv[i] = _rfact[i] * _fact[i - 1];}inline T fact(int k) const { return _fact[k]; }inline T rfact(int k) const { return _rfact[k]; }inline T inv(int k) const { return _inv[k]; }T P(int n, int r) const {if(r < 0 || n < r) return 0;return fact(n) * rfact(n - r);}T C(int p, int q) const {if(q < 0 || p < q) return 0;return fact(p) * rfact(q) * rfact(p - q);}T H(int n, int r) const {if(n < 0 || r < 0) return (0);return r == 0 ? 1 : C(n + r - 1, r);}};template<typename T>struct Matrix{int row, col;std::vector<std::vector<T>> A;Matrix() { row = col = 1; }Matrix(int h, int w, T val = 0) : row(h), col(w), A(row, std::vector<T>(col, val)){}Matrix(const std::vector<std::vector<T>> &v) : row(v.size()), col(v[0].size()), A(v){}int GetRow() const { return row; }int GetCol() const { return col; }const std::vector<T>& operator[](int i) const { return A[i]; }std::vector<T>& operator[](int i) { return A[i]; }Matrix E(int n) {Matrix M(n, n);for(int i=0; i<n; i++) M[i][i] = 1;return M;}Matrix& operator+=(const Matrix& B) {int n = GetRow(), m = GetCol();assert(n == B.size()); assert(m == B[0].size());Matrix C(n, m);for(int i=0; i<n; i++) {for(int j=0; j<m; j++) {C[i][j] = A[i][j] + B[i][j];}}return *this = C;}Matrix& operator-=(const Matrix& B) {int n = GetRow(), m = GetCol();assert(n == B.size()); assert(m == B[0].size());Matrix C(n, m);for(int i=0; i<n; i++) {for(int j=0; j<m; j++) {C[i][j] = A[i][j] - B[i][j];}}return *this = C;}Matrix& operator*=(const Matrix& B) {int k = GetRow(), l = GetCol(), n = B.GetRow(), m = GetCol();assert(l == n);Matrix C(k, m);for(int i=0; i<k; i++) {for(int j=0; j<m; j++) {for(int k=0; k<n; k++) {C[i][j] += A[i][k] * B[k][j];}}}return *this = C;}Matrix& operator^=(long long n) {Matrix B = Matrix::E(GetRow());while(n > 0) {if(n&1) B = B * (*this);*this = (*this) * (*this);n >>= 1;}return *this = B;}Matrix operator+(const Matrix& B){ return Matrix(*this) += B; }Matrix operator-(const Matrix& B){ return Matrix(*this) -= B; }Matrix operator*(const Matrix& B){ return Matrix(*this) *= B; }Matrix operator^(long long n){ return Matrix(*this) ^= n; }friend std::ostream& operator<< (std::ostream& os, const Matrix& m) {for(int i=0; i<m.GetRow(); i++) {for(int j=0; j<m.GetCol(); j++) {if(j != 0) os << ' ';os << m.A[i][j];}os << '\n';}return os;}};int main(){cin.tie(0);ios::sync_with_stdio(false);cout << fixed << setprecision(20);int N, K, L; cin >> N >> K >> L;Matrix<modint> m(N, N);for(int i=0; i<N; i++) {for(int j=1; j<=L; j++) {int t = (j+i)%N;m[t][i] = 1;}}m ^= K;for(int i=0; i<N; i++) {cout << m[i][0] << endl;}return 0;}