結果

問題 No.3175 転移迷宮 (Easy)
ユーザー 👑 hos.lyric
提出日時 2025-06-06 21:38:59
言語 C++14
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 3 ms / 3,000 ms
コード長 5,649 bytes
コンパイル時間 1,275 ms
コンパイル使用メモリ 116,044 KB
実行使用メモリ 7,848 KB
最終ジャッジ日時 2025-06-06 21:39:03
合計ジャッジ時間 3,214 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge5
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 * 2
other AC * 44
権限があれば一括ダウンロードができます
コンパイルメッセージ
main.cpp: In function ‘int main()’:
main.cpp:113:10: warning: ignoring return value of ‘int scanf(const char*, ...)’ declared with attribute ‘warn_unused_result’ [-Wunused-result]
  113 |     scanf("%d%d", &N, &K);
      |     ~~~~~^~~~~~~~~~~~~~~~

ソースコード

diff # 

#include <cassert>
#include <cmath>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <algorithm>
#include <bitset>
#include <chrono>
#include <complex>
#include <deque>
#include <functional>
#include <iostream>
#include <limits>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>

using namespace std;

using Int = long long;

template <class T1, class T2> ostream &operator<<(ostream &os, const pair<T1, T2> &a) { return os << "(" << a.first << ", " << a.second << ")"; };
template <class T> ostream &operator<<(ostream &os, const vector<T> &as) { const int sz = as.size(); os << "["; for (int i = 0; i < sz; ++i) { if (i >= 256) { os << ", ..."; break; } if (i > 0) { os << ", "; } os << as[i]; } return os << "]"; }
template <class T> void pv(T a, T b) { for (T i = a; i != b; ++i) cerr << *i << " "; cerr << endl; }
template <class T> bool chmin(T &t, const T &f) { if (t > f) { t = f; return true; } return false; }
template <class T> bool chmax(T &t, const T &f) { if (t < f) { t = f; return true; } return false; }
#define COLOR(s) ("\x1b[" s "m")

////////////////////////////////////////////////////////////////////////////////
template <unsigned M_> struct ModInt {
  static constexpr unsigned M = M_;
  unsigned x;
  constexpr ModInt() : x(0U) {}
  constexpr ModInt(unsigned x_) : x(x_ % M) {}
  constexpr ModInt(unsigned long long x_) : x(x_ % M) {}
  constexpr ModInt(int x_) : x(((x_ %= static_cast<int>(M)) < 0) ? (x_ + static_cast<int>(M)) : x_) {}
  constexpr ModInt(long long x_) : x(((x_ %= static_cast<long long>(M)) < 0) ? (x_ + static_cast<long long>(M)) : x_) {}
  ModInt &operator+=(const ModInt &a) { x = ((x += a.x) >= M) ? (x - M) : x; return *this; }
  ModInt &operator-=(const ModInt &a) { x = ((x -= a.x) >= M) ? (x + M) : x; return *this; }
  ModInt &operator*=(const ModInt &a) { x = (static_cast<unsigned long long>(x) * a.x) % M; return *this; }
  ModInt &operator/=(const ModInt &a) { return (*this *= a.inv()); }
  ModInt pow(long long e) const {
    if (e < 0) return inv().pow(-e);
    ModInt a = *this, b = 1U; for (; e; e >>= 1) { if (e & 1) b *= a; a *= a; } return b;
  }
  ModInt inv() const {
    unsigned a = M, b = x; int y = 0, z = 1;
    for (; b; ) { const unsigned q = a / b; const unsigned c = a - q * b; a = b; b = c; const int w = y - static_cast<int>(q) * z; y = z; z = w; }
    assert(a == 1U); return ModInt(y);
  }
  ModInt operator+() const { return *this; }
  ModInt operator-() const { ModInt a; a.x = x ? (M - x) : 0U; return a; }
  ModInt operator+(const ModInt &a) const { return (ModInt(*this) += a); }
  ModInt operator-(const ModInt &a) const { return (ModInt(*this) -= a); }
  ModInt operator*(const ModInt &a) const { return (ModInt(*this) *= a); }
  ModInt operator/(const ModInt &a) const { return (ModInt(*this) /= a); }
  template <class T> friend ModInt operator+(T a, const ModInt &b) { return (ModInt(a) += b); }
  template <class T> friend ModInt operator-(T a, const ModInt &b) { return (ModInt(a) -= b); }
  template <class T> friend ModInt operator*(T a, const ModInt &b) { return (ModInt(a) *= b); }
  template <class T> friend ModInt operator/(T a, const ModInt &b) { return (ModInt(a) /= b); }
  explicit operator bool() const { return x; }
  bool operator==(const ModInt &a) const { return (x == a.x); }
  bool operator!=(const ModInt &a) const { return (x != a.x); }
  friend std::ostream &operator<<(std::ostream &os, const ModInt &a) { return os << a.x; }
};
////////////////////////////////////////////////////////////////////////////////

constexpr unsigned MO = 998244353;
using Mint = ModInt<MO>;


// singular ==> return false;
// solution: a[j][n]
bool linearSystem(vector<vector<Mint>> &a) {
  const int n = a.size();
  for (int h = 0; h < n; ++h) {
    for (int i = h; i < n; ++i) if (a[i][h]) {
      swap(a[h], a[i]);
      break;
    }
    if (!a[h][h]) return false;
    const Mint s = a[h][h].inv();
    for (int j = h + 1; j <= n; ++j) a[h][j] *= s;
    for (int i = h + 1; i < n; ++i) {
      for (int j = h + 1; j <= n; ++j) a[i][j] -= a[i][h] * a[h][j];
    }
  }
  for (int i = n; --i >= 0; ) {
    for (int j = i + 1; j < n; ++j) a[i][n] -= a[i][j] * a[j][n];
  }
  return true;
}


int N, K;

Mint f[220'010][22];
void add(int v, int u, Mint c) {
  for (int k = 0; k <= K; ++k) f[v][k] += f[u][k] * c;
}

int main() {
  for (int numCases; ~scanf("%d", &numCases); ) { for (int caseId = 1; caseId <= numCases; ++caseId) {
    scanf("%d%d", &N, &K);
    
    for (int u = 0; u < K + N + K; ++u) fill(f[u], f[u] + (K + 1), 0);
    for (int k = 0; k < K; ++k) f[K + k][k] = 1;
    for (int u = K; u < K + N; ++u) {
      // u -> [u-K, u+K]
      add(u + K, u, 2*K + 1);
      f[u + K][K] -= (2*K + 1);
      for (int d = -K; d < K; ++d) add(u + K, u + d, -1);
    }
//for(int u=0;u<K+N+K;++u){cerr<<u<<": ";pv(f[u],f[u]+(K+1));}
    
    vector<vector<Mint>> a(K, vector<Mint>(K + 1));
    for (int i = 0; i < K; ++i) {
      const int u = K + N + i;
      for (int k = 0; k < K; ++k) a[i][k] = f[u][k];
      a[i][K] = -f[u][K];
    }
    const bool status = linearSystem(a);
    assert(status);  // ?
    
    vector<Mint> ans(K + N + K, 0);
    for (int u = 0; u < K + N + K; ++u) {
      for (int k = 0; k < K; ++k) ans[u] += f[u][k] * a[k][K];
      ans[u] += f[u][K];
    }
    
    for (int u = K; u < K + N; ++u) {
      if (u > K) printf(" ");
      printf("%u", ans[u].x);
    }
    puts("");
  }
#ifndef LOCAL
  break;
#endif
  }
  return 0;
}
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