結果

問題 No.1750 ラムドスウイルスの感染拡大-hard
コンテスト
ユーザー stoq
提出日時 2021-11-19 22:31:33
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
TLE  
実行時間 -
コード長 9,268 bytes
コンパイル時間 5,168 ms
コンパイル使用メモリ 273,452 KB
最終ジャッジ日時 2025-01-25 20:34:56
ジャッジサーバーID
（参考情報） 		judge4 / judge5
このコードへのチャレンジ
（要ログイン）
ファイルパターン 結果
sample AC * 4
other AC * 21 TLE * 9
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 # 

#define MOD_TYPE 2

#include <bits/stdc++.h>
using namespace std;

#include <atcoder/all>
//#include <atcoder/modint>
//#include <atcoder/lazysegtree>

using namespace atcoder;

#if 0
#include <boost/multiprecision/cpp_dec_float.hpp>
#include <boost/multiprecision/cpp_int.hpp>
using Int = boost::multiprecision::cpp_int;
using lld = boost::multiprecision::cpp_dec_float_100;
#endif

#if 0
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tag_and_trait.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/rope>
using namespace __gnu_pbds;
using namespace __gnu_cxx;
template <typename T>
using extset = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
#endif

#if 1
#pragma GCC target("avx2")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#endif

#pragma region Macros

using ll = long long int;
using ld = long double;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
using pld = pair<ld, ld>;
template <typename Q_type>
using smaller_queue = priority_queue<Q_type, vector<Q_type>, greater<Q_type>>;

#if MOD_TYPE == 1
constexpr ll MOD = ll(1e9 + 7);
#else
#if MOD_TYPE == 2
constexpr ll MOD = 998244353;
#else
constexpr ll MOD = 1000003;
#endif
#endif

using mint = static_modint<MOD>;
constexpr int INF = (int)1e9 + 10;
constexpr ll LINF = (ll)4e18;
constexpr double PI = acos(-1.0);
constexpr double EPS = 1e-11;
constexpr int Dx[] = {0, 0, -1, 1, -1, 1, -1, 1, 0};
constexpr int Dy[] = {1, -1, 0, 0, -1, -1, 1, 1, 0};

#define REP(i, m, n) for (ll i = m; i < (ll)(n); ++i)
#define rep(i, n) REP(i, 0, n)
#define REPI(i, m, n) for (int i = m; i < (int)(n); ++i)
#define repi(i, n) REPI(i, 0, n)
#define YES(n) cout << ((n) ? "YES" : "NO") << "\n"
#define Yes(n) cout << ((n) ? "Yes" : "No") << "\n"
#define possible(n) cout << ((n) ? "possible" : "impossible") << "\n"
#define Possible(n) cout << ((n) ? "Possible" : "Impossible") << "\n"
#define all(v) v.begin(), v.end()
#define NP(v) next_permutation(all(v))
#define dbg(x) cerr << #x << ":" << x << "\n";
#define UNIQUE(v) v.erase(unique(all(v)), v.end())

struct io_init {
  io_init() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    cout << setprecision(30) << setiosflags(ios::fixed);
  };
} io_init;
template <typename T>
inline bool chmin(T& a, T b) {
  if (a > b) {
    a = b;
    return true;
  }
  return false;
}
template <typename T>
inline bool chmax(T& a, T b) {
  if (a < b) {
    a = b;
    return true;
  }
  return false;
}
inline ll CEIL(ll a, ll b) { return (a + b - 1) / b; }
template <typename A, size_t N, typename T>
inline void Fill(A (&array)[N], const T& val) {
  fill((T*)array, (T*)(array + N), val);
}
template <typename T>
vector<T> compress(vector<T>& v) {
  vector<T> val = v;
  sort(all(val)), val.erase(unique(all(val)), val.end());
  for (auto&& vi : v) vi = lower_bound(all(val), vi) - val.begin();
  return val;
}
template <typename T, typename U>
constexpr istream& operator>>(istream& is, pair<T, U>& p) noexcept {
  is >> p.first >> p.second;
  return is;
}
template <typename T, typename U>
constexpr ostream& operator<<(ostream& os, pair<T, U> p) noexcept {
  os << p.first << " " << p.second;
  return os;
}
ostream& operator<<(ostream& os, mint m) {
  os << m.val();
  return os;
}
ostream& operator<<(ostream& os, modint m) {
  os << m.val();
  return os;
}
template <typename T>
constexpr istream& operator>>(istream& is, vector<T>& v) noexcept {
  for (int i = 0; i < v.size(); i++) is >> v[i];
  return is;
}
template <typename T>
constexpr ostream& operator<<(ostream& os, vector<T>& v) noexcept {
  for (int i = 0; i < v.size(); i++)
    os << v[i] << (i + 1 == v.size() ? "" : " ");
  return os;
}

random_device seed_gen;
mt19937_64 engine(seed_gen());

struct BiCoef {
  vector<mint> fact_, inv_, finv_;
  BiCoef(int n) noexcept : fact_(n, 1), inv_(n, 1), finv_(n, 1) {
    fact_.assign(n, 1), inv_.assign(n, 1), finv_.assign(n, 1);
    for (int i = 2; i < n; i++) {
      fact_[i] = fact_[i - 1] * i;
      inv_[i] = -inv_[MOD % i] * (MOD / i);
      finv_[i] = finv_[i - 1] * inv_[i];
    }
  }
  mint C(ll n, ll k) const noexcept {
    if (n < k || n < 0 || k < 0) return 0;
    return fact_[n] * finv_[k] * finv_[n - k];
  }
  mint P(ll n, ll k) const noexcept { return C(n, k) * fact_[k]; }
  mint H(ll n, ll k) const noexcept { return C(n + k - 1, k); }
  mint Ch1(ll n, ll k) const noexcept {
    if (n < 0 || k < 0) return 0;
    mint res = 0;
    for (int i = 0; i < n; i++)
      res += C(n, i) * mint(n - i).pow(k) * (i & 1 ? -1 : 1);
    return res;
  }
  mint fact(ll n) const noexcept {
    if (n < 0) return 0;
    return fact_[n];
  }
  mint inv(ll n) const noexcept {
    if (n < 0) return 0;
    return inv_[n];
  }
  mint finv(ll n) const noexcept {
    if (n < 0) return 0;
    return finv_[n];
  }
};

BiCoef bc(500010);

#pragma endregion

// -------------------------------

#pragma region Matrix

// 参考・引用：https://qiita.com/gnbrganchan/items/47118d45b3af9d5ae9a4

using Type = mint;

struct Matrix {
  // 行列A
  vector<vector<Type>> A;
  // コンストラクタ:第1引数⇒行数、第2引数⇒列数、第3引数⇒初期値
  Matrix() : A() {}
  Matrix(int h, int w) : A(vector<vector<Type>>(h, vector<Type>(w))) {}
  Matrix(int h, int w, Type d)
      : A(vector<vector<Type>>(h, vector<Type>(w, d))) {}
  Matrix(vector<vector<Type>> A) : A(A) {}
  Matrix(initializer_list<initializer_list<Type>> A) : A(A.begin(), A.end()) {}
  // 添え字アクセス
  vector<Type> operator[](const int i) const { return A[i]; }
  vector<Type>& operator[](const int i) { return A[i]; }
  // 行数・列数
  int r = A.size();
  int c = (A.empty() ? 0 : A[0].size());
  // 行列同士の演算
  Matrix& operator+=(const Matrix& B) {
    assert(c == B.c && r == B.r);
    rep(i, r) rep(j, c) A[i][j] += B[i][j];
    return *this;
  }
  Matrix& operator-=(const Matrix& B) {
    assert(c == B.c && r == B.r);
    rep(i, r) rep(j, c) A[i][j] -= B[i][j];
    return *this;
  }
  Matrix& operator*=(const Matrix& B) {
    if (B.r == 1 and B.c == 1) {
      return (*this) *= B[0][0];
    } else if (r == 1 and c == 1) {
      Type k = A[0][0];
      (*this) = B;
      return (*this) *= k;
    }
    assert(c == B.r);
    Matrix m2(r, B.c, 0);
    rep(i, r) rep(k, c) rep(j, B.c) m2[i][j] += A[i][k] * B[k][j];
    c = B.c;
    // rep(i, r) A[i].resize(c);
    rep(i, r) rep(j, c) A[i][j] = m2[i][j];
    return *this;
  }
  Matrix operator+(const Matrix& B) const { return Matrix(*this) += B; }
  Matrix operator-(const Matrix& B) const { return Matrix(*this) -= B; }
  Matrix operator*(const Matrix& B) const { return Matrix(*this) *= B; }
  vector<Type> operator*(const vector<Type>& b) const {
    assert(c == b.size());
    vector<Type> res(r);
    rep(i, r) rep(k, c) res[i] += A[i][k] * b[k];
    return res;
  }
  bool operator==(const Matrix& B) {
    assert(c == B.c && r == B.r);
    bool flg = true;
    rep(i, r) rep(j, c) if (A[i][j] != B[i][j]) flg = false;
    return flg;
  }
  // 行列とスカラの演算
  Matrix& operator+=(const Type& k) {
    rep(i, r) rep(j, c) A[i][j] += k;
    return *this;
  }
  Matrix& operator-=(const Type& k) {
    rep(i, r) rep(j, c) A[i][j] -= k;
    return *this;
  }
  Matrix& operator*=(const Type& k) {
    rep(i, r) rep(j, c) A[i][j] *= k;
    return *this;
  }
  Matrix& operator/=(const Type& k) {
    rep(i, r) rep(j, c) A[i][j] /= k;
    return *this;
  }
  Matrix operator+(const Type& k) const { return Matrix(*this) += k; }
  Matrix operator-(const Type& k) const { return Matrix(*this) -= k; }
  Matrix operator*(const Type& k) const { return Matrix(*this) *= k; }
  Matrix operator/(const Type& k) const { return Matrix(*this) /= k; }
  Matrix operator-() const { return Matrix(*this) *= -1; }
  // 回転（degの数だけ時計回りに90度回転）
  Matrix& rot(int deg) {
    Matrix m2(c, r);
    if (deg == 1 || deg == 3) {
      if (deg == 1) rep(i, r) rep(j, c) m2[j][r - i - 1] = A[i][j];
      if (deg == 3) rep(i, r) rep(j, c) m2[c - j - 1][i] = A[i][j];
      swap(c, r);  // 列数と行数を入れ替える
      A.resize(r);
      rep(i, r) A[i].resize(c);  //リサイズ
    }
    if (deg == 2) rep(i, r) rep(j, c) m2[r - i - 1][c - j - 1] = A[i][j];
    rep(i, r) rep(j, c) A[i][j] = m2[i][j];
    return *this;
  }
  // 転置
  Matrix& tran() {
    Matrix m2(c, r);
    rep(i, r) rep(j, c) m2[j][i] = A[i][j];
    (*this) = m2;
    return *this;
  }
  // 単位行列
  static Matrix E(int n) {
    Matrix res(n, n);
    rep(i, n) rep(j, n) res[i][j] = i == j;
    return res;
  }
  // 累乗
  Matrix pow(ll n) {
    assert(n >= 0);
    Matrix res = E(r);
    Matrix P = (*this);
    while (n > 0) {
      if (n & 1) res *= P;
      P *= P;
      n >>= 1;
    }
    return res;
  }
};
// 出力
ostream& operator<<(ostream& os, Matrix A) noexcept {
  rep(i, A.r) {
    if (i > 0) cout << "\n";
    rep(j, A.c) { cout << A[i][j] << (j + 1 == A.c ? "" : " "); }
  }
  return os;
}

#pragma endregion

void solve() {
  int n, m;
  ll t;
  cin >> n >> m >> t;
  Matrix A(n, n);
  rep(i, m) {
    int a, b;
    cin >> a >> b;
    A[a][b] = A[b][a] = 1;
  }
  vector<mint> b(n, 0);
  b[0] = 1;
  b = A.pow(t) * b;
  cout << b[0] << "\n";
}

int main() { solve(); }
0