test/verify/yosupo-cartesian-tree.test.cpp

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• Last update: 2024-07-28 19:56:12+09:00
• Problem: https://judge.yosupo.jp/problem/cartesian_tree

Depends on

• Cartesian Tree (graph/others/cartesian-tree.hpp)
• template/template.hpp

Code

// competitive-verifier: PROBLEM https://judge.yosupo.jp/problem/cartesian_tree

#include "../../template/template.hpp"

#include "../../graph/others/cartesian-tree.hpp"

int main() {
  int N;
  cin >> N;
  vector< int > A(N);
  for(auto &a : A) cin >> a;
  auto p = cartesian_tree(A);
  for(int i = 0; i < N; i++) {
    if(p[i] >= 0) cout << p[i] << " ";
    else cout << i << " ";
  }
  cout << "\n";
}

#line 1 "test/verify/yosupo-cartesian-tree.test.cpp"
// competitive-verifier: PROBLEM https://judge.yosupo.jp/problem/cartesian_tree

#line 1 "template/template.hpp"
#include <bits/stdc++.h>
#if __has_include(<atcoder/all>)
#include <atcoder/all>
#endif

using namespace std;

using int64 = long long;

const int64 infll = (1LL << 62) - 1;
const int inf = (1 << 30) - 1;

struct IoSetup {
  IoSetup() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    cout << fixed << setprecision(10);
    cerr << fixed << setprecision(10);
  }
} iosetup;

template <typename T1, typename T2>
ostream &operator<<(ostream &os, const pair<T1, T2> &p) {
  os << p.first << " " << p.second;
  return os;
}

template <typename T1, typename T2>
istream &operator>>(istream &is, pair<T1, T2> &p) {
  is >> p.first >> p.second;
  return is;
}

template <typename T>
ostream &operator<<(ostream &os, const vector<T> &v) {
  for (int i = 0; i < (int)v.size(); i++) {
    os << v[i] << (i + 1 != v.size() ? " " : "");
  }
  return os;
}

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

template <typename T1, typename T2>
inline bool chmax(T1 &a, T2 b) {
  return a < b && (a = b, true);
}

template <typename T1, typename T2>
inline bool chmin(T1 &a, T2 b) {
  return a > b && (a = b, true);
}

template <typename T = int64>
vector<T> make_v(size_t a) {
  return vector<T>(a);
}

template <typename T, typename... Ts>
auto make_v(size_t a, Ts... ts) {
  return vector<decltype(make_v<T>(ts...))>(a, make_v<T>(ts...));
}

template <typename T, typename V>
typename enable_if<is_class<T>::value == 0>::type fill_v(T &t, const V &v) {
  t = v;
}

template <typename T, typename V>
typename enable_if<is_class<T>::value != 0>::type fill_v(T &t, const V &v) {
  for (auto &e : t) fill_v(e, v);
}

template <typename F>
struct FixPoint : F {
  explicit FixPoint(F &&f) : F(std::forward<F>(f)) {}

  template <typename... Args>
  decltype(auto) operator()(Args &&...args) const {
    return F::operator()(*this, std::forward<Args>(args)...);
  }
};

template <typename F>
inline decltype(auto) MFP(F &&f) {
  return FixPoint<F>{std::forward<F>(f)};
}
#line 4 "test/verify/yosupo-cartesian-tree.test.cpp"

#line 2 "graph/others/cartesian-tree.hpp"
/**
 * @brief Cartesian Tree
 *
 * @see https://kimiyuki.net/blog/2020/07/27/recursion-on-cartesian-tree/
 */
template <typename T>
vector<int> cartesian_tree(const vector<T> &v) {
  int n = (int)v.size();
  vector<int> par(n, -1);
  stack<int> st;
  for (int i = 0; i < n; i++) {
    int last = -1;
    while (!st.empty() && v[st.top()] >= v[i]) {
      last = st.top();
      st.pop();
    }
    if (!st.empty()) par[i] = st.top();
    if (last >= 0) par[last] = i;
    st.emplace(i);
  }
  return par;
}
#line 6 "test/verify/yosupo-cartesian-tree.test.cpp"

int main() {
  int N;
  cin >> N;
  vector< int > A(N);
  for(auto &a : A) cin >> a;
  auto p = cartesian_tree(A);
  for(int i = 0; i < N; i++) {
    if(p[i] >= 0) cout << p[i] << " ";
    else cout << i << " ";
  }
  cout << "\n";
}

Test cases

Env	Name	Status	Elapsed	Memory
g++	almost-decreasing_00	AC	113 ms	11 MB
g++	almost-decreasing_01	AC	55 ms	7 MB
g++	almost-increasing_00	AC	123 ms	15 MB
g++	almost-increasing_01	AC	61 ms	9 MB
g++	decreasing_00	AC	121 ms	11 MB
g++	decreasing_01	AC	60 ms	7 MB
g++	example_00	AC	6 ms	3 MB
g++	example_01	AC	5 ms	3 MB
g++	increasing_00	AC	122 ms	15 MB
g++	increasing_01	AC	83 ms	9 MB
g++	random_00	AC	128 ms	11 MB
g++	random_01	AC	63 ms	7 MB
g++	random_02	AC	75 ms	8 MB
g++	random_03	AC	60 ms	7 MB
g++	random_04	AC	107 ms	10 MB
g++	small_00	AC	5 ms	3 MB
g++	small_01	AC	5 ms	3 MB
g++	small_02	AC	5 ms	3 MB
g++	small_03	AC	5 ms	3 MB
g++	small_04	AC	5 ms	3 MB
g++	small_05	AC	5 ms	3 MB
g++	small_06	AC	5 ms	3 MB
g++	small_07	AC	5 ms	3 MB
g++	small_08	AC	5 ms	3 MB
g++	small_09	AC	5 ms	3 MB
clang++	almost-decreasing_00	AC	111 ms	11 MB
clang++	almost-decreasing_01	AC	56 ms	7 MB
clang++	almost-increasing_00	AC	118 ms	15 MB
clang++	almost-increasing_01	AC	62 ms	9 MB
clang++	decreasing_00	AC	111 ms	11 MB
clang++	decreasing_01	AC	57 ms	7 MB
clang++	example_00	AC	5 ms	3 MB
clang++	example_01	AC	5 ms	3 MB
clang++	increasing_00	AC	113 ms	15 MB
clang++	increasing_01	AC	56 ms	9 MB
clang++	random_00	AC	120 ms	11 MB
clang++	random_01	AC	59 ms	7 MB
clang++	random_02	AC	71 ms	8 MB
clang++	random_03	AC	60 ms	7 MB
clang++	random_04	AC	98 ms	10 MB
clang++	small_00	AC	5 ms	3 MB
clang++	small_01	AC	5 ms	3 MB
clang++	small_02	AC	5 ms	3 MB
clang++	small_03	AC	5 ms	3 MB
clang++	small_04	AC	5 ms	3 MB
clang++	small_05	AC	5 ms	3 MB
clang++	small_06	AC	5 ms	3 MB
clang++	small_07	AC	5 ms	3 MB
clang++	small_08	AC	5 ms	3 MB
clang++	small_09	AC	5 ms	3 MB

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