#369781 (C++17) No.867 避難経路

• 問題: No.867 避難経路
• ユーザー: noshi91
• 提出日時: 2019-08-16 23:30:47
• 言語: C++17 (gcc 13.3.0 + boost 1.87.0)
• 結果: CE (最新)
  AC
  (最初)
• 実行時間: -
• コード長: 5,798 bytes
• コンパイル時間: 1,492 ms
• コンパイル使用メモリ: 78,008 KB
• 最終ジャッジ日時: 2025-01-07 12:59:42
• ジャッジサーバーID （参考情報）: judge5 / judge2

コンパイルメッセージ

main.cpp: In function ‘void n91::main_()’:
main.cpp:120:32: error: ‘numeric_limits’ is not a member of ‘std’
  120 |     auto d = md_vec(h, w, std::numeric_limits<u64>::max());
      |                                ^~~~~~~~~~~~~~
main.cpp:120:50: error: expected primary-expression before ‘>’ token
  120 |     auto d = md_vec(h, w, std::numeric_limits<u64>::max());
      |                                                  ^
main.cpp:120:53: error: ‘::max’ has not been declared; did you mean ‘std::max’?
  120 |     auto d = md_vec(h, w, std::numeric_limits<u64>::max());
      |                                                     ^~~
      |                                                     std::max
In file included from /usr/include/c++/13/algorithm:61,
                 from main.cpp:77:
/usr/include/c++/13/bits/stl_algo.h:5805:5: note: ‘std::max’ declared here
 5805 |     max(initializer_list<_Tp> __l, _Compare __comp)
      |     ^~~
main.cpp:133:44: error: ‘numeric_limits’ is not a member of ‘std’
  133 |         std::fill(v.begin(), v.end(), std::numeric_limits<u64>::max());
      |                                            ^~~~~~~~~~~~~~
main.cpp:133:62: error: expected primary-expression before ‘>’ token
  133 |         std::fill(v.begin(), v.end(), std::numeric_limits<u64>::max());
      |                                                              ^
main.cpp:133:65: error: ‘::max’ has not been declared; did you mean ‘std::max’?
  133 |         std::fill(v.begin(), v.end(), std::numeric_limits<u64>::max());
      |                                                                 ^~~
      |                                                                 std::max
/usr/include/c++/13/bits/stl_algo.h:5805:5: note: ‘std::max’ declared here
 5805 |     max(initializer_list<_Tp> __l, _Compare __comp)
      |     ^~~
main.cpp:169:16: error: ‘numeric_limits’ is not a member of ‘std’
  169 |         p(std::n

ソースコード

//#define NDEBUG
#include <cstddef>
#include <cstdint>
#include <iostream>
#include <vector>

namespace n91 {

using i8 = std::int_fast8_t;
using i32 = std::int_fast32_t;
using i64 = std::int_fast64_t;
using u8 = std::uint_fast8_t;
using u32 = std::uint_fast32_t;
using u64 = std::uint_fast64_t;
using isize = std::ptrdiff_t;
using usize = std::size_t;

constexpr usize operator"" _z(unsigned long long x) noexcept {
  return static_cast<usize>(x);
}

class rep {
  const usize f, l;

public:
  class itr {
    friend rep;
    usize i;
    constexpr itr(const usize x) noexcept : i(x) {}

  public:
    void operator++() noexcept { ++i; }
    constexpr usize operator*() const noexcept { return i; }
    constexpr bool operator!=(const itr x) const noexcept { return i != x.i; }
  };
  constexpr rep(const usize first, const usize last) noexcept
      : f(first), l(last) {}
  constexpr itr begin() const noexcept { return itr(f); }
  constexpr itr end() const noexcept { return itr(l); }
};
class revrep {
  const usize f, l;

public:
  class itr {
    friend revrep;
    usize i;
    constexpr itr(usize x) noexcept : i(x) {}

  public:
    void operator++() noexcept { --i; }
    constexpr usize operator*() const noexcept { return i; }
    constexpr bool operator!=(const itr x) const noexcept { return i != x.i; }
  };
  constexpr revrep(usize first, usize last) noexcept : f(--first), l(--last) {}
  constexpr itr begin() const noexcept { return itr(l); }
  constexpr itr end() const noexcept { return itr(f); }
};
template <class T> using vec_alias = std::vector<T>;
template <class T> auto md_vec(const usize n, const T &value) {
  return std::vector<T>(n, value);
}
template <class... Args> auto md_vec(const usize n, Args... args) {
  return std::vector<decltype(md_vec(args...))>(n, md_vec(args...));
}
template <class T> constexpr T difference(const T &a, const T &b) {
  return a < b ? b - a : a - b;
}
template <class T> T scan() {
  T ret;
  std::cin >> ret;
  return ret;
}

} // namespace n91

#include <algorithm>
#include <array>
#include <iostream>
#include <queue>
#include <utility>

namespace n91 {

void main_() {
  static constexpr u64 MaxK = static_cast<u64>(300);

  const auto h = scan<usize>();
  const auto w = scan<usize>();
  const usize gx = scan<usize>() - 1_z;
  const usize gy = scan<usize>() - 1_z;

  auto a = md_vec(h, w, static_cast<u64>(0));
  for (auto &v : a) {
    for (auto &e : v) {
      e = scan<u64>();
    }
  }

  const usize q = scan<usize>();
  struct query_type {
    usize x, y;
    u64 k;
    u64 ans;
  };
  std::vector<query_type> query(q);
  for (auto &e : query) {
    e.x = scan<usize>() - 1_z;
    e.y = scan<usize>() - 1_z;
    e.k = scan<u64>();
  }
  std::array<std::vector<usize>, static_cast<usize>(MaxK)> small;
  for (const auto i : rep(0_z, q)) {
    if (query[i].k < MaxK) {
      small[query[i].k].push_back(i);
    }
  }

  {
    auto d = md_vec(h, w, std::numeric_limits<u64>::max());
    struct node_type {
      usize x, y;
      u64 c;
      constexpr node_type(const usize x, const usize y, const u64 c)
          : x(x), y(y), c(c) {}
      constexpr bool operator<(const node_type &rhs) const noexcept {
        return rhs.c < c;
      }
    };
    std::priority_queue<node_type> que;
    for (const auto k : rep(1_z, static_cast<usize>(MaxK))) {
      for (auto &v : d) {
        std::fill(v.begin(), v.end(), std::numeric_limits<u64>::max());
      }
      const u64 kk = static_cast<u64>(k * k);
      std::array<usize, 4_z> dx{-1_z, 0_z, 0_z, 1_z}, dy{0_z, -1_z, 1_z, 0_z};
      que.emplace(gx, gy, static_cast<u64>(0));
      d[gx][gy] = static_cast<u64>(0);
      while (!que.empty()) {
        const usize x = que.top().x;
        const usize y = que.top().y;
        const u64 c = que.top().c;
        que.pop();
        if (d[x][y] < c) {
          continue;
        }
        const u64 nc = c + a[x][y] + kk;
        for (const auto i : rep(0_z, 4_z)) {
          const usize nx = x + dx[i];
          const usize ny = y + dy[i];
          if (nx < h && ny < w && d[nx][ny] > nc) {
            d[nx][ny] = nc;
            que.emplace(nx, ny, nc);
          }
        }
      }

      for (const auto i : small[k]) {
        auto &e = query[i];
        e.ans = d[e.x][e.y] + a[e.x][e.y] + kk;
      }
    }
  }

  {
    using p = std::pair<usize, u64>;
    auto d = md_vec(
        h, w,
        p(std::numeric_limits<usize>::max(), std::numeric_limits<u64>::max()));
    std::array<usize, 4_z> dx{-1_z, 0_z, 0_z, 1_z}, dy{0_z, -1_z, 1_z, 0_z};
    struct node_type {
      usize x, y;
      p c;
      constexpr node_type(const usize x, const usize y, const p c)
          : x(x), y(y), c(c) {}
      constexpr bool operator<(const node_type &rhs) const noexcept {
        return rhs.c < c;
      }
    };
    std::priority_queue<node_type> que;
    que.emplace(gx, gy, p(0_z, static_cast<u64>(0)));
    d[gx][gy] = {0_z, static_cast<u64>(0)};
    while (!que.empty()) {
      const usize x = que.top().x;
      const usize y = que.top().y;
      const p c = que.top().c;
      que.pop();
      if (d[x][y] < c) {
        continue;
      }
      const p nc = p(c.first + 1_z, c.second + a[x][y]);
      for (const auto i : rep(0_z, 4_z)) {
        const usize nx = x + dx[i];
        const usize ny = y + dy[i];
        if (nx < h && ny < w && d[nx][ny] > nc) {
          d[nx][ny] = nc;
          que.emplace(nx, ny, nc);
        }
      }
    }
    for (auto &e : query) {
      if (e.k >= MaxK) {
        const usize len = d[e.x][e.y].first + 1_z;
        const u64 dist = d[e.x][e.y].second + a[e.x][e.y];
        e.ans = dist + e.k * e.k * len;
      }
    }
  }

  for (const auto &e : query) {
    std::cout << e.ans << std::endl;
  }
}

} // namespace n91

int main() {
  n91::main_();
  return 0;
}