結果

問題 No.1516 simple 門松列 problem Re:MASTER
コンテスト
ユーザー mai
提出日時 2021-06-24 02:39:18
言語 C++14
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 723 ms / 6,000 ms
コード長 12,386 bytes
コンパイル時間 2,594 ms
コンパイル使用メモリ 194,680 KB
実行使用メモリ 5,376 KB
最終ジャッジ日時 2024-06-25 02:49:41
合計ジャッジ時間 6,316 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge3
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 * 3
other AC * 19
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 # 

#pragma GCC optimize ("O3")
#include <bits/stdc++.h>

using namespace std;
using ll = long long int;

#define all(v) (v).begin(),(v).end()
#define repeat(cnt,l) for(typename remove_const<typename remove_reference<decltype(l)>::type>::type cnt={};(cnt)<(l);++(cnt))
#define rrepeat(cnt,l) for(auto cnt=(l)-1;0<=(cnt);--(cnt))
#define iterate(cnt,b,e) for(auto cnt=(b);(cnt)!=(e);++(cnt))
#define diterate(cnt,b,e) for(auto cnt=(b);(cnt)!=(e);--(cnt))
const long long MD = 998244353ll; const long double PI = 3.1415926535897932384626433832795L;
template<typename T1, typename T2> inline ostream& operator <<(ostream &o, const pair<T1, T2> p) { o << '(' << p.first << ':' << p.second << ')'; return o; }
template<typename T> inline T& chmax(T& to, const T& val) { return to = max(to, val); }
template<typename T> inline T& chmin(T& to, const T& val) { return to = min(to, val); }
void bye(string s, int code = 0) { cout << s << endl; exit(code); }
mt19937_64 randdev(8901016);
template<typename T, typename Random = decltype(randdev), typename enable_if<is_integral<T>::value>::type* = nullptr>
inline T rand(T l, T h, Random& rand = randdev) { return uniform_int_distribution<T>(l, h)(rand); }
template<typename T, typename Random = decltype(randdev), typename enable_if<is_floating_point<T>::value>::type* = nullptr>
inline T rand(T l, T h, Random& rand = randdev) { return uniform_real_distribution<T>(l, h)(rand); }template<typename T>
static ostream& operator<<(ostream& o, const std::vector<T>& v) {
  o << "[ "; for(const auto& e : v) o<<e<<' ';
  return o << ']';
}

template <typename I>
struct MyRangeFormat{ I b,e; MyRangeFormat(I _b, I _e):b(_b),e(_e){} };
template<typename I>
static ostream& operator<<(ostream& o, const MyRangeFormat<I>& f) {
  o << "[ "; iterate(i,f.b,f.e) o<<*i<<' ';
  return o << ']';
}
template <typename I>
struct MyMatrixFormat{
  const I& p; long long n, m;
  MyMatrixFormat(const I& _p, long long _n, long long _m):p(_p),n(_n),m(_m){}
};
template<typename I>
static ostream& operator<<(ostream& o, const MyMatrixFormat<I>& f) {
  o<<'\n';
  repeat(i,(f.n)) {
    repeat(j,f.m) o<<f.p[i][j]<<' ';
    o<<'\n';
  }
  return o;
}
struct LOG_t { ~LOG_t() { cout << endl; } };
#define LOG (LOG_t(),cout<<'L'<<__LINE__<<": ")
#define FMTA(m,w) (MyRangeFormat<decltype(m+0)>(m,m+w))
#define FMTR(b,e) (MyRangeFormat<decltype(e)>(b,e))
#define FMTV(v) FMTR(v.begin(),v.end())
#define FMTM(m,h,w) (MyMatrixFormat<decltype(m+0)>(m,h,w))

#if defined(_WIN32) || defined(_WIN64)
#define getc_x _getc_nolock
#define putc_x _putc_nolock
#elif defined(__GNUC__)
#define getc_x getc_unlocked
#define putc_x putc_unlocked
#else
#define getc_x getc
#define putc_x putc
#endif
class MaiScanner {
  FILE* fp_;
  constexpr bool isvisiblechar(char c) noexcept { return (0x21<=(c)&&(c)<=0x7E); }
public:
  inline MaiScanner(FILE* fp):fp_(fp){}
  template<typename T> void input_integer(T& var) noexcept {
    var = 0; T sign = 1;
    int cc = getc_x(fp_);
    for (; cc < '0' || '9' < cc; cc = getc_x(fp_))
      if (cc == '-') sign = -1;
    for (; '0' <= cc && cc <= '9'; cc = getc_x(fp_))
      var = (var << 3) + (var << 1) + cc - '0';
    var = var * sign;
  }
  inline int c() noexcept { return getc_x(fp_); }
  template<typename T, typename enable_if<is_integral<T>::value, nullptr_t>::type = nullptr>
  inline MaiScanner& operator>>(T& var) noexcept { input_integer<T>(var); return *this; }
  inline MaiScanner& operator>>(string& var) {
    int cc = getc_x(fp_);
    for (; !isvisiblechar(cc); cc = getc_x(fp_));
    for (; isvisiblechar(cc); cc = getc_x(fp_))
      var.push_back(cc);
    return *this;
  }
  template<typename IT> inline void in(IT begin, IT end) { for (auto it = begin; it != end; ++it) *this >> *it; }
};
class MaiPrinter {
  FILE* fp_;
public:
  inline MaiPrinter(FILE* fp):fp_(fp){}
  template<typename T>
  void output_integer(T var) noexcept {
    if (var == 0) { putc_x('0', fp_); return; }
    if (var < 0)
      putc_x('-', fp_),
      var = -var;
    char stack[32]; int stack_p = 0;
    while (var)
      stack[stack_p++] = '0' + (var % 10),
      var /= 10;
    while (stack_p)
      putc_x(stack[--stack_p], fp_);
  }
  inline MaiPrinter& operator<<(char c) noexcept { putc_x(c, fp_); return *this; }
  template<typename T, typename enable_if<is_integral<T>::value, nullptr_t>::type = nullptr>
  inline MaiPrinter& operator<<(T var) noexcept { output_integer<T>(var); return *this; }
  inline MaiPrinter& operator<<(char* str_p) noexcept { while (*str_p) putc_x(*(str_p++), fp_); return *this; }
  inline MaiPrinter& operator<<(const string& str) {
    const char* p = str.c_str();
    const char* l = p + str.size();
    while (p < l) putc_x(*p++, fp_);
    return *this;
  }
  template<typename IT> void join(IT begin, IT end, char sep = ' ') { for (bool b = 0; begin != end; ++begin, b = 1) b ? *this << sep << *begin : *this << *begin; }
};
MaiScanner scanner(stdin);
MaiPrinter printer(stdout);

class llmod {
 private:
  using value_type = long long;
  value_type val_;
  // inline ll cut(ll v) const { return ((v%MOD) + MOD) % MOD; } // safe
 public:
  static const value_type MOD = MD;  // <=

  llmod() : val_(0) {}
  llmod(value_type num) : val_(((num % MOD) + MOD) % MOD) {}

  inline operator value_type() const { return val_; }
  inline value_type operator*() const { return val_; }
  inline llmod& operator=(const llmod& lm) {
    val_ = lm.val_;
    return *this;
  }
  inline llmod& operator=(value_type v) {
    val_ = (v) % MOD;
    return *this;
  }

  inline llmod& operator+=(value_type v) {
    val_ = (val_ + v) % MOD;
    return *this;
  }
  inline llmod& operator+=(const llmod& l) {
    val_ = (val_ + l.val_) % MOD;
    return *this;
  }
  inline llmod& operator-=(value_type v) {
    val_ = (val_ - v + MOD) % MOD;
    return *this;
  }
  inline llmod& operator-=(const llmod& l) {
    val_ = (val_ - l.val_ + MOD) % MOD;
    return *this;
  }
  inline llmod& operator*=(value_type v) {
    val_ = (val_ * v) % MOD;
    return *this;
  }
  inline llmod& operator*=(const llmod& l) {
    val_ = (val_ * l.val_) % MOD;
    return *this;
  }
  inline llmod& operator++() {
    val_ = (val_ + 1) % MOD;
    return *this;
  }
  inline llmod operator++(int) {
    llmod t = *this;
    val_ = (val_ + 1) % MOD;
    return t;
  }
  inline llmod& justify() {
    val_ = ((val_ % MOD) + MOD) % MOD;
    return *this;
  }
  friend llmod pow(llmod, long long);
};
inline std::ostream& operator<<(std::ostream& os, const llmod& l) {
  os << *l;
  return os;
}

inline llmod operator+(llmod t, const llmod& r) {
  return t += r;
}
inline llmod operator-(llmod t, const llmod& r) {
  return t -= r;
}
inline llmod operator*(llmod t, const llmod& r) {
  return t *= r;
}

// MEMO : 逆元...pow(n,MD-2)
llmod pow(llmod x, long long p) {
  llmod::value_type y = 1;
  llmod::value_type xval = x.justify();
  while (0 < p) {
    if (p & 1)
      y = (xval * y) % llmod::MOD;
    xval = (xval * xval) % llmod::MOD;
    p >>= 1;
  }
  return llmod(y);
}

inline llmod& operator/=(llmod& l, const llmod& r) {
  return l *= pow(r, llmod::MOD - 2);
}


template <typename T, typename Container = valarray<T>>
// using T = double;
class Matrix {
 public:
  size_t height_, width_;
  Container data_;
  Matrix(size_t height = 1, size_t width = 1)
      : height_(height), width_(width), data_(height * width) {}
  template <typename V>
  Matrix(size_t height, size_t width, const V& data)
      : height_(height), width_(width), data_(data) {}
  Matrix(size_t height, size_t width, initializer_list<T> init)
      : height_(height), width_(width), data_(init) {}

  static Matrix<T> makeDiag(size_t n, T val) {
    Matrix<T> mat(n, n);
    for (size_t i = 0; i < n; ++i)
      mat(i, i) = val;
    return mat;
  }

  inline T& operator()(size_t y, size_t x) { return data_[y * width_ + x]; }
  inline T operator()(size_t y, size_t x) const { return data_[y * width_ + x]; }
  inline T& operator[](size_t i) { return data_[i]; }
  inline T operator[](size_t i) const { return data_[i]; }
  inline void resize(size_t h, size_t w) {
    height_ = h;
    width_ = w;
    data_.resize(h * w);
  }
  inline void resize(size_t h, size_t w, T val) {
    height_ = h;
    width_ = w;
    data_.resize(h * w, val);
  }
  inline void fill(T val) { data_ = val; }
  void transpose() {
    for (size_t y = 0; y < height_; ++y)
      for (size_t x = y + 1; x < width_; ++x)
        swap(operator()(y, x), operator()(x, y));
  }
  Matrix<T> transposed() const {
    auto m = *this;
    m.transpose();
    return m;
  }

  void print(ostream& os) {
    os << "- - -" << endl;  //  << setprecision(3)
    for (size_t y = 0; y < height_; ++y) {
      for (size_t x = 0; x < width_; ++x) {
        os << setw(7) << operator()(y, x) << ' ';
      }
      os << endl;
    }
  }
};
template <typename T>
inline ostream& operator<<(ostream& os, Matrix<T> mat) {
  mat.print(os);
  return os;
}

template <typename T>
Matrix<T> multiply(const Matrix<T>& mat1, const Matrix<T>& mat2) {
  assert(mat1.width_ == mat2.height_);
  Matrix<T> result(mat1.height_, mat2.width_);
  for (size_t i = 0; i < mat1.height_; ++i)
    for (size_t j = 0; j < mat2.width_; ++j)
      for (size_t k = 0; k < mat1.width_; ++k)
        result(i, j) += mat1(i, k) * mat2(k, j);
  return result;
}
template <typename T, typename V>
V multiply(const Matrix<T>& mat1, const V& vec2) {
  assert(mat1.width_ == vec2.size());
  V result(mat1.height_);
  for (size_t i = 0, j; i < mat1.height_; ++i)
    for (j = 0; j < mat1.width_; ++j)
      result[i] += mat1(i, j) * vec2[j];
  return result;
}

template <typename T>
inline Matrix<T>& operator+=(Matrix<T>& mat, T val) {
  mat.data_ += val;
  return mat;
}
template <typename T>
inline Matrix<T>& operator-=(Matrix<T>& mat, T val) {
  mat.data_ -= val;
  return mat;
}
template <typename T>
inline Matrix<T>& operator*=(Matrix<T>& mat, T val) {
  mat.data_ *= val;
  return mat;
}
template <typename T>
inline Matrix<T>& operator/=(Matrix<T>& mat, T val) {
  mat.data_ /= val;
  return mat;
}
template <typename T>
inline Matrix<T>& operator^=(Matrix<T>& mat, T val) {
  mat.data_ ^= val;
  return mat;
}
template <typename T>
inline Matrix<T>& operator+=(Matrix<T>& mat1, const Matrix<T>& mat2) {
  mat1.data_ += mat2.data_;
  return mat1;
}
template <typename T>
inline Matrix<T> operator+(Matrix<T>& mat1, const Matrix<T>& mat2) {
  return Matrix<T>(mat1.height_, mat1.width_, mat1.data_ + mat2.data_);
}
template <typename T>
inline Matrix<T>& operator-=(Matrix<T>& mat1, const Matrix<T>& mat2) {
  mat1.data_ -= mat2.data_;
  return mat1;
}
template <typename T>
inline Matrix<T> operator-(Matrix<T>& mat1, const Matrix<T>& mat2) {
  return Matrix<T>(mat1.height_, mat1.width_, mat1.data_ - mat2.data_);
}
template <typename T>
inline Matrix<T>& operator*=(Matrix<T>& mat1, const Matrix<T>& mat2) {
  mat1 = multiply(mat1, mat2);
  return mat1;
}
template <typename T>
inline Matrix<T> operator*(const Matrix<T>& mat1, const Matrix<T>& mat2) {
  return multiply(mat1, mat2);
}
template <typename T, typename V>
inline V operator*(const Matrix<T>& mat1, const V& vec2) {
  return multiply(mat1, vec2);
}

template <typename T>
Matrix<T> pow(Matrix<T> a, long long p) {
  assert(a.height_ == a.width_);
  auto b = Matrix<T>::makeDiag(a.height_, 1);
  while (0 < p) {
    if (p & 1)
      b *= a;
    a *= a;
    p >>= 1;
  }
  return b;
}

//

ll N, K;

//

bool kado(int x, int y, int z) {
  return (x!=z)&&((x<y&&y>z)||(x>y&&y<z));
}

void solve1() {
  map<int, map<int, int>> idx;
  {
    int i = 0;
    repeat(a1, K) {
      repeat(a2, K) {
        if (a1 == a2) continue;
        idx[a1][a2] = i++;
      }
    }
  }
  int KK = K*K-K;
  Matrix<llmod> mat(KK+KK, KK+KK);
  Matrix<llmod> vec(KK+KK, 1);
  vec.fill(1);
  repeat(a1, K) {
    repeat(a2, K) {
      vec[KK+idx[a1][a2]] = a1+a2;
      repeat(b, K) {
        if (kado(a1,a2,b)) {
          mat(idx[a2][b], idx[a1][a2]) = 1;
          mat(KK+idx[a2][b], idx[a1][a2]) = b;
          mat(KK+idx[a2][b], KK+idx[a1][a2]) = 1;
        }
      }
    }
  }
  auto m2 = pow(mat, N-2);
  auto v2 = m2*vec;
  ll total1 = 0, total2 = 0;
  repeat(i, KK) {
    total1 += v2[i];
    total1 %= MD;
  }
  repeat(i, KK) {
    total2 += v2[KK+i];
    total2 %= MD;
  }
  cout << total1 << " " << total2 << endl;
}

int main() {
  
  cin >> N >> K;
  
  solve1();
  
  return 0;
}
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