結果

問題 No.876 Range Compress Query
ユーザー ngtkanangtkana
提出日時 2019-09-06 21:58:22
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
WA  
実行時間 -
コード長 9,422 bytes
コンパイル時間 2,300 ms
コンパイル使用メモリ 213,920 KB
実行使用メモリ 9,324 KB
最終ジャッジ日時 2023-09-06 23:50:02
合計ジャッジ時間 5,146 ms
ジャッジサーバーID
(参考情報)
judge11 / judge13
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 1 ms
4,376 KB
testcase_01 WA -
testcase_02 WA -
testcase_03 WA -
testcase_04 WA -
testcase_05 WA -
testcase_06 WA -
testcase_07 WA -
testcase_08 WA -
testcase_09 WA -
testcase_10 WA -
testcase_11 WA -
testcase_12 WA -
testcase_13 WA -
testcase_14 WA -
testcase_15 WA -
testcase_16 WA -
testcase_17 WA -
testcase_18 WA -
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 #

#include <bits/stdc++.h>
#define loop(n) for (int ngtkana_is_genius = 0; ngtkana_is_genius < int(n); ngtkana_is_genius++)
#define rep(i, begin, end) for(int i = int(begin); i < int(end); i++)
#define all(v) v.begin(), v.end()
#define lint long long
auto cmn = [](auto& a, auto b){if (a > b) {a = b; return true;} return false;};
auto cmx = [](auto& a, auto b){if (a < b) {a = b; return true;} return false;};
void debug_impl() { std::cerr << std::endl; }
template <typename Head, typename... Tail>
void debug_impl(Head head, Tail... tail){
  std::cerr << " " << head;
  debug_impl(tail...);
}
#define debug(...)\
  std::cerr << std::boolalpha << "[" << #__VA_ARGS__ << "]:";\
  debug_impl(__VA_ARGS__);\
  std::cerr << std::noboolalpha;

template<
  typename Value1,    typename Value2,
  typename BinaryOp1, typename BinaryOp2, typename BinaryOp3,
  typename UnaryOp1,  typename UnaryOp2
  >
class lazy_segment_tree
{
    struct node
    {
      int id, l, r;
      node (int id, int l, int r):
        id(id), l(l), r(r)
        {};

      auto size () const {return r - l;}

      auto left_child  () const
      {
        assert(size() > 1);
        return node(id * 2, l, (l + r) / 2);
      }

      auto right_child () const
      {
        assert(size() > 1);
        return node(id * 2 + 1, (l + r) / 2, r);
      }
    };

    int                 n, N;
    BinaryOp1           op1;
    BinaryOp2           op2;
    BinaryOp3           op3;
    Value1              id1;
    Value2              id2;
    UnaryOp1            expand;
    UnaryOp2            shrink;
    std::vector<Value1> table;
    std::vector<Value2> lazy;
    node                initial_node;

    auto& op1_eq (Value1& x, Value1 y) {return x = op1(x, y);}
    auto& op2_eq (Value1& x, Value2 y) {return x = op2(x, y);}
    auto& op3_eq (Value2& x, Value2 y) {return x = op3(x, y);}

    void cal (int u)
    {
      table.at(u) = op1(table.at(2 * u), table.at(2 * u + 1));
    }

    auto chain (int u) const
    {
      auto ret = std::vector<int>{};
      for (auto i = u; i > 0; i /= 2)
      {
        ret.emplace_back(i);
      }
      std::reverse(ret.begin(), ret.end());
      return ret;
    }

    auto prop (int u)
    {
      op2_eq(table.at(u), lazy.at(u));
      if (u < n)
      {
        op3_eq(lazy.at(2 * u),     shrink(lazy.at(u)));
        op3_eq(lazy.at(2 * u + 1), shrink(lazy.at(u)));
      }
      lazy.at(u)     = id2;
      return table.at(u);
    }

    auto query_base (int l, int r, Value2 val, const node& now)
    {
      prop(now.id);
      if (now.r <= l || r <= now.l) return id1;
      else if (l <= now.l && now.r <= r)
      {
        op3_eq(lazy.at(now.id), val);
        return prop(now.id);
      }
      else
      {
        auto ret =op1(
          query_base(l, r, shrink(val), now.left_child()),
          query_base(l, r, shrink(val), now.right_child())
        );
        cal(now.id);
        return ret;
      }
    }

  public:
    lazy_segment_tree
    (
      int size,
      BinaryOp1  op1,
      BinaryOp2  op2,
      BinaryOp3  op3,
      Value1     id1,
      Value2     id2,
      UnaryOp1   expand,
      UnaryOp2   shrink
    ):
      n (std::pow(2, int(std::log2(size)) + 1)), N(n * 2),
      op1(std::move(op1)), op2(std::move(op2)), op3(std::move(op3)),
      id1(id1), id2(id2),
      expand(std::move(expand)), shrink(std::move(shrink)),
      table(N, id1), lazy(N, id2),
      initial_node(1, 0, n)
      {
        std::mt19937 mt(std::random_device{}());
        std::uniform_int_distribution<int> dist(-1'000'000, 1'000'000);
        for (int i = 0; i < 20; i++) {
          Value1 ex1 = std::make_tuple(dist(mt), dist(mt), dist(mt)), ex1_ = std::make_tuple(dist(mt), dist(mt), dist(mt));
          Value2 ex2 = dist(mt);
          assert(op1(ex1, id1)       == ex1);
          assert(op2(ex1, id2)       == ex1);
          assert(op3(ex2, id2)       == ex2);
          assert(shrink(expand(ex2)) == ex2);
          assert(op2(op1(ex1, ex1_), expand(ex2)) == op1(op2(ex1, ex2), op2(ex1_, ex2)));
        }
      }

    void build (const Value1 x)
    {
      std::fill(table.begin(), table.end(), x);
      for (int i = n - 1; i >= 0; i--) cal(i);
    }

    void build (const std::vector<Value1>& v)
    {
      assert(int(v.size()) <= n);
      std::move(v.begin(), v.end(), table.begin() + n);
      for (int i = n - 1; i >= 0; i--) cal(i);
    }

    void act (int l, int r, Value2 val)
    {
      for (int i = 1; i < n; i *= 2) {
        val = expand(val);
      }
      query_base(l, r, val, initial_node);
    }

    auto query (int l, int r)
    {
      return query_base(l, r, id2, initial_node);
    }

    auto quiet_at (int i) const
    {
      i += n;
      auto actor = id2;
      for (auto j : chain(i))
      {
        actor = shrink(actor);
        actor = op3(actor, lazy.at(j));
      }
      return op2(table.at(i), actor);
    }

    auto quiet_collect () const
    {
      auto ret = std::vector<Value1>(n);
      for (auto i = 0; i < n; i++)
      {
        ret.at(i) = quiet_at(i);
      }
      return ret;
    }

    auto& at (int i)
    {
      i += n;
      for (auto j : chain(i))
      {
        prop(j);
      }
      return table.at(i);
    }

    auto collect ()
    {
      for (int i = 0; i < N; i++)
      {
        prop(i);
      }
      auto ret = std::vector<Value1>(n);
      for (auto i = 0; i < n; i++)
      {
        ret.at(i) = table.at(i + n);
      }
      return ret;
    }
};

template<
  typename Value1,    typename Value2,
  typename BinaryOp1, typename BinaryOp2, typename BinaryOp3,
  typename UnaryOp1,  typename UnaryOp2
  >
auto make_lazy_segment_tree
(
  int        size,
  BinaryOp1  op1,
  BinaryOp2  op2,
  BinaryOp3  op3,
  Value1     id1,
  Value2     id2,
  UnaryOp1   expand,
  UnaryOp2   shrink
)
{
  return lazy_segment_tree<
    Value1,    Value2,
    BinaryOp1, BinaryOp2, BinaryOp3,
    UnaryOp1,  UnaryOp2
    >
    (
      size, std::move(op1), std::move(op2), std::move(op3),
      id1, id2, std::move(expand), std::move(shrink)
    );
}


template<
  typename Value1,    typename Value2,
  typename BinaryOp1, typename BinaryOp2, typename BinaryOp3
  >
auto make_lazy_segment_tree
(
  int        size,
  BinaryOp1  op1,
  BinaryOp2  op2,
  BinaryOp3  op3,
  Value1     id1,
  Value2     id2
)
{
  auto f = [](auto x){return x;};
  return make_lazy_segment_tree
    (
      size, std::move(op1), std::move(op2), std::move(op3),
      id1, id2, std::move(f), std::move(f)
    );
}

template <typename T>
std::istream& operator>> (std::istream& is, std::vector<T>& v) {
  for (auto & x : v) is >> x;
  return is;
}

template <typename T>
std::ostream& operator<< (std::ostream& os, const std::vector<T>& v) {
  auto n = v.size();
  os << "{";
  for (size_t i = 0; i < n; i++)
    {os << (i > 0 ? "," : "") << v.at(i);}
  return os << "}";
}

template <typename T, typename U>
std::ostream& operator<< (std::ostream& os, const std::pair<T, U>& pair){
  return os << "(" << pair.first << "," << pair.second << ")";
}

template <typename T, typename U>
std::istream& operator>> (std::iostream& is, std::pair<T, U>& pair) {
  return is >> pair.first >> pair.second;
}

template <typename... Args, std::size_t ... Inds>
std::ostream& tuple_output_impl
(
  std::ostream& os,
  const std::tuple<Args...>& tuple,
  std::integer_sequence<std::size_t, Inds...>
)
{
  os << "(";
  (void)std::initializer_list<int>{(
    (void)(os << (Inds > 0 ? "," : "") << std::get<Inds>(tuple)), 0
  )...};
  return os << ")";
}
template <typename... Args>
std::ostream& operator<< (std::ostream& os, const std::tuple<Args...>& tuple)
{
  return tuple_output_impl(os, tuple, std::index_sequence_for<Args...>());
}

template <typename... Args, std::size_t ... Inds>
std::istream& tuple_input_impl
(
  std::istream& is,
  std::tuple<Args...>& tuple,
  std::integer_sequence<std::size_t, Inds...>
)
{
  (void)std::initializer_list<int>{(
    (void)(is >> std::get<Inds>(tuple)), 0
  )...};
  return is;
}
template <typename... Args>
std::istream& operator>> (std::istream& is, std::tuple<Args...>& tuple)
{
  return tuple_input_impl(is, tuple, std::index_sequence_for<Args...>());
}

int main() {
  std::cin.tie(0); std::cin.sync_with_stdio(false);
  int n, q; std::cin >> n >> q;
  std::vector<int> a(n); std::cin >> a;
  std::vector<std::tuple<int, int, int>> tuples(n);
  rep(i, 0, n) {
    tuples.at(i) = std::make_tuple(1, a.at(i), a.at(i));
  }
  auto segtree = make_lazy_segment_tree<std::tuple<int, int, int>, int>(
    n,
    [](auto tuple0, auto tuple1) {
      int k0, x0, y0; std::tie(k0, x0, y0) = tuple0;
      int k1, x1, y1; std::tie(k1, x1, y1) = tuple1;
      if (k0 == -1) return tuple1;
      if (k1 == -1) return tuple0;
      return std::make_tuple(k0 + k1 - (y0 == x1), x0, y1);
    },
    [](auto tuple0, auto x) {
      if (x == -1) return tuple0;
      return std::make_tuple(1, x, x);
    },
    [](auto x, auto y) {
      return y == -1 ? x : y;
    },
    std::make_tuple(-1, -1, -1),
    -1
  );
  segtree.build(tuples);
  // debug(segtree.collect());
  loop(q) {
    int c; std::cin >> c;
    if (c == 1) {
      int l, r, x;
      std::cin >> l >> r >> x;
      l--;
      segtree.act(l, r, x);
      // debug(segtree.collect());
    } else {
      int l, r; std::cin >> l >> r;
      l--;
      auto ret = std::get<0>(segtree.query(l, r));
      std::cout << ret << std::endl;
    }
  }
  return 0;
}
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