#731030 (C++17) No.1812 Uribo Road

提出ソース
結果

問題	No.1812 Uribo Road
コンテスト
ユーザー	stoq
提出日時	2022-01-14 23:06:05
言語	C++17 (gcc 13.3.0 + boost 1.87.0)
結果	TLE
実行時間	-
コード長	13,931 bytes
コンパイル時間	4,775 ms
コンパイル使用メモリ	269,484 KB
最終ジャッジ日時	2025-01-27 12:11:06
ジャッジサーバーID （参考情報）	judge3 / 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 * 4
other	AC * 23 TLE * 6 MLE * 1
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ソースコード

raw source code
#define MOD_TYPE 1

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

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

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(1000010);

#pragma endregion

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

namespace radix_heap {
namespace internal {
template <bool Is64bit>
class find_bucket_impl;

template <>
class find_bucket_impl<false> {
 public:
  static inline constexpr size_t find_bucket(uint32_t x, uint32_t last) {
    return x == last ? 0 : 32 - __builtin_clz(x ^ last);
  }
};

template <>
class find_bucket_impl<true> {
 public:
  static inline constexpr size_t find_bucket(uint64_t x, uint64_t last) {
    return x == last ? 0 : 64 - __builtin_clzll(x ^ last);
  }
};

template <typename T>
inline constexpr size_t find_bucket(T x, T last) {
  return find_bucket_impl<sizeof(T) == 8>::find_bucket(x, last);
}

template <typename KeyType, bool IsSigned>
class encoder_impl_integer;

template <typename KeyType>
class encoder_impl_integer<KeyType, false> {
 public:
  typedef KeyType key_type;
  typedef KeyType unsigned_key_type;

  inline static constexpr unsigned_key_type encode(key_type x) { return x; }

  inline static constexpr key_type decode(unsigned_key_type x) { return x; }
};

template <typename KeyType>
class encoder_impl_integer<KeyType, true> {
 public:
  typedef KeyType key_type;
  typedef typename std::make_unsigned<KeyType>::type unsigned_key_type;

  inline static constexpr unsigned_key_type encode(key_type x) {
    return static_cast<unsigned_key_type>(x) ^
           (unsigned_key_type(1) << unsigned_key_type(
                std::numeric_limits<unsigned_key_type>::digits - 1));
  }

  inline static constexpr key_type decode(unsigned_key_type x) {
    return static_cast<key_type>(
        x ^ (unsigned_key_type(1)
             << (std::numeric_limits<unsigned_key_type>::digits - 1)));
  }
};

template <typename KeyType, typename UnsignedKeyType>
class encoder_impl_decimal {
 public:
  typedef KeyType key_type;
  typedef UnsignedKeyType unsigned_key_type;

  inline static constexpr unsigned_key_type encode(key_type x) {
    return raw_cast<key_type, unsigned_key_type>(x) ^
           ((-(raw_cast<key_type, unsigned_key_type>(x) >>
               (std::numeric_limits<unsigned_key_type>::digits - 1))) |
            (unsigned_key_type(1)
             << (std::numeric_limits<unsigned_key_type>::digits - 1)));
  }

  inline static constexpr key_type decode(unsigned_key_type x) {
    return raw_cast<unsigned_key_type, key_type>(
        x ^ (((x >> (std::numeric_limits<unsigned_key_type>::digits - 1)) - 1) |
             (unsigned_key_type(1)
              << (std::numeric_limits<unsigned_key_type>::digits - 1))));
  }

 private:
  template <typename T, typename U>
  union raw_cast {
   public:
    constexpr raw_cast(T t) : t_(t) {}
    operator U() const { return u_; }

   private:
    T t_;
    U u_;
  };
};

template <typename KeyType>
class encoder
    : public encoder_impl_integer<KeyType, std::is_signed<KeyType>::value> {};
template <>
class encoder<float> : public encoder_impl_decimal<float, uint32_t> {};
template <>
class encoder<double> : public encoder_impl_decimal<double, uint64_t> {};
}  // namespace internal

template <typename KeyType, typename EncoderType = internal::encoder<KeyType>>
class radix_heap {
 public:
  typedef KeyType key_type;
  typedef EncoderType encoder_type;
  typedef typename encoder_type::unsigned_key_type unsigned_key_type;

  radix_heap() : size_(0), last_(), buckets_() {
    buckets_min_.fill(std::numeric_limits<unsigned_key_type>::max());
  }

  void push(key_type key) {
    const unsigned_key_type x = encoder_type::encode(key);
    assert(last_ <= x);
    ++size_;
    const size_t k = internal::find_bucket(x, last_);
    buckets_[k].emplace_back(x);
    buckets_min_[k] = std::min(buckets_min_[k], x);
  }

  key_type top() {
    pull();
    return encoder_type::decode(last_);
  }

  void pop() {
    pull();
    buckets_[0].pop_back();
    --size_;
  }

  size_t size() const { return size_; }

  bool empty() const { return size_ == 0; }

  void clear() {
    size_ = 0;
    last_ = key_type();
    for (auto &b : buckets_) b.clear();
    buckets_min_.fill(std::numeric_limits<unsigned_key_type>::max());
  }

  void swap(radix_heap<KeyType, EncoderType> &a) {
    std::swap(size_, a.size_);
    std::swap(last_, a.last_);
    buckets_.swap(a.buckets_);
    buckets_min_.swap(a.buckets_min_);
  }

 private:
  size_t size_;
  unsigned_key_type last_;
  std::array<std::vector<unsigned_key_type>,
             std::numeric_limits<unsigned_key_type>::digits + 1>
      buckets_;
  std::array<unsigned_key_type,
             std::numeric_limits<unsigned_key_type>::digits + 1>
      buckets_min_;

  void pull() {
    assert(size_ > 0);
    if (!buckets_[0].empty()) return;

    size_t i;
    for (i = 1; buckets_[i].empty(); ++i)
      ;
    last_ = buckets_min_[i];

    for (unsigned_key_type x : buckets_[i]) {
      const size_t k = internal::find_bucket(x, last_);
      buckets_[k].emplace_back(x);
      buckets_min_[k] = std::min(buckets_min_[k], x);
    }
    buckets_[i].clear();
    buckets_min_[i] = std::numeric_limits<unsigned_key_type>::max();
  }
};

template <typename KeyType, typename ValueType,
          typename EncoderType = internal::encoder<KeyType>>
class pair_radix_heap {
 public:
  typedef KeyType key_type;
  typedef ValueType value_type;
  typedef EncoderType encoder_type;
  typedef typename encoder_type::unsigned_key_type unsigned_key_type;

  pair_radix_heap() : size_(0), last_(), buckets_() {
    buckets_min_.fill(std::numeric_limits<unsigned_key_type>::max());
  }

  void push(key_type key, const value_type &value) {
    const unsigned_key_type x = encoder_type::encode(key);
    assert(last_ <= x);
    ++size_;
    const size_t k = internal::find_bucket(x, last_);
    buckets_[k].emplace_back(x, value);
    buckets_min_[k] = std::min(buckets_min_[k], x);
  }

  void push(key_type key, value_type &&value) {
    const unsigned_key_type x = encoder_type::encode(key);
    assert(last_ <= x);
    ++size_;
    const size_t k = internal::find_bucket(x, last_);
    buckets_[k].emplace_back(x, std::move(value));
    buckets_min_[k] = std::min(buckets_min_[k], x);
  }

  template <class... Args>
  void emplace(key_type key, Args &&...args) {
    const unsigned_key_type x = encoder_type::encode(key);
    assert(last_ <= x);
    ++size_;
    const size_t k = internal::find_bucket(x, last_);
    buckets_[k].emplace_back(std::piecewise_construct, std::forward_as_tuple(x),
                             std::forward_as_tuple(args...));
    buckets_min_[k] = std::min(buckets_min_[k], x);
  }

  key_type top_key() {
    pull();
    return encoder_type::decode(last_);
  }

  value_type &top_value() {
    pull();
    return buckets_[0].back().second;
  }

  void pop() {
    pull();
    buckets_[0].pop_back();
    --size_;
  }

  size_t size() const { return size_; }

  bool empty() const { return size_ == 0; }

  void clear() {
    size_ = 0;
    last_ = key_type();
    for (auto &b : buckets_) b.clear();
    buckets_min_.fill(std::numeric_limits<unsigned_key_type>::max());
  }

  void swap(pair_radix_heap<KeyType, ValueType, EncoderType> &a) {
    std::swap(size_, a.size_);
    std::swap(last_, a.last_);
    buckets_.swap(a.buckets_);
    buckets_min_.swap(a.buckets_min_);
  }

 private:
  size_t size_;
  unsigned_key_type last_;
  std::array<std::vector<std::pair<unsigned_key_type, value_type>>,
             std::numeric_limits<unsigned_key_type>::digits + 1>
      buckets_;
  std::array<unsigned_key_type,
             std::numeric_limits<unsigned_key_type>::digits + 1>
      buckets_min_;

  void pull() {
    assert(size_ > 0);
    if (!buckets_[0].empty()) return;

    size_t i;
    for (i = 1; buckets_[i].empty(); ++i)
      ;
    last_ = buckets_min_[i];

    for (size_t j = 0; j < buckets_[i].size(); ++j) {
      const unsigned_key_type x = buckets_[i][j].first;
      const size_t k = internal::find_bucket(x, last_);
      buckets_[k].emplace_back(std::move(buckets_[i][j]));
      buckets_min_[k] = std::min(buckets_min_[k], x);
    }
    buckets_[i].clear();
    buckets_min_[i] = std::numeric_limits<unsigned_key_type>::max();
  }
};
}  // namespace radix_heap

int d[10000 * (1 << 12)];
vector<pair<short, short>> E[10000];
int r[20000];
int c[20000];

void solve() {
  Fill(d, INF);
  int n, m, k;
  cin >> n >> m >> k;
  Fill(r, -1);
  rep(i, k) {
    int t;
    cin >> t, t--;
    r[t] = i;
  }

  rep(i, m) {
    short a, b;
    cin >> a >> b >> c[i];
    a--, b--;
    E[a].push_back({b, i});
    E[b].push_back({a, i});
  }
  radix_heap::pair_radix_heap<int, int> que;
  que.push(0, 0);
  d[0] = 0;
  int di, num, i, msk, msk2, num2;
  const int MSK = (1 << k) - 1;
  while (!que.empty()) {
    di = que.top_key();
    num = que.top_value();
    que.pop();
    if (d[num] < di) continue;
    i = num >> k;
    msk = num & MSK;
    for (auto [j, ei] : E[i]) {
      msk2 = msk;
      if (r[ei] != -1) msk2 |= (1 << r[ei]);
      num2 = (j << k) | msk2;
      if (chmin(d[num2], d[num] + c[ei])) {
        que.push(d[num2], num2);
      }
    }
  }
  cout << d[n * (1 << k) - 1] << "\n";
}

int main() { solve(); }
yukicoder

結果

ソースコード
