Submission #684867

# Submission time Handle Problem Language Result Execution time Memory
684867 2023-01-22T17:48:41 Z peijar Constellation 3 (JOI20_constellation3) C++17
35 / 100
1500 ms 118744 KB
#include <bits/stdc++.h>
#define int long long
using namespace std;

string to_string(string s) { return s; }
template <typename T> string to_string(T v) {
  bool first = true;
  string res = "[";
  for (const auto &x : v) {
    if (!first)
      res += ", ";
    first = false;
    res += to_string(x);
  }
  res += "]";
  return res;
}

void dbg_out() { cout << endl; }
template <typename Head, typename... Tail> void dbg_out(Head H, Tail... T) {
  cout << ' ' << to_string(H);
  dbg_out(T...);
}

#ifdef DEBUG
#define dbg(...) cout << "(" << #__VA_ARGS__ << "):", dbg_out(__VA_ARGS__)
#else
#define dbg(...)
#endif

template <class T> struct RMQ {
  vector<vector<T>> jmp;
  RMQ(const vector<T> &V) : jmp(1, V) {
    for (int pw = 1, k = 1; pw * 2 <= (int)V.size(); pw *= 2, ++k) {
      jmp.emplace_back((int)V.size() - pw * 2 + 1);
      for (int j = 0; j < (int)jmp[k].size(); ++j)
        jmp[k][j] = max(jmp[k - 1][j], jmp[k - 1][j + pw]);
    }
  }
  T query(int a, int b) { // [a, b)
    assert(a < b);
    int dep = 31 - __builtin_clz(b - a);
    return max(jmp[dep][a], jmp[dep][b - (1 << dep)]);
  }
};

template <class T> class Fenwick {
public:
  int lim;
  vector<T> bit;

  Fenwick(int n) : lim(n + 1), bit(lim) {}

  void upd(int pos, T val) {
    for (pos++; pos < lim; pos += pos & -pos)
      bit[pos] += val;
  }

  T sum(int r) { // < r
    T ret = 0;
    for (; r; r -= r & -r)
      ret += bit[r];
    return ret;
  }

  T sum(int l, int r) { // [l, r)
    return sum(r) - sum(l);
  }

  void rangeAdd(int deb, int fin, int x) { // [deb, fin)
    dbg(deb, fin, x);
    upd(deb, x);
    upd(fin, -x);
  }

  int point(int pos) { return sum(pos + 1); }
};

template <class T> using min_pq = priority_queue<T, vector<T>, greater<T>>;

signed main(void) {
  ios_base::sync_with_stdio(false);
  cin.tie(0);

  int N;
  cin >> N;
  vector<int> height(N);
  for (int &x : height)
    cin >> x;
  vector<pair<int, int>> toRMQ;
  for (int i = 0; i < N; ++i)
    toRMQ.emplace_back(height[i], i);
  RMQ rmq(toRMQ);

  vector<vector<pair<int, int>>> onPos(N);
  int nbEtoiles;
  cin >> nbEtoiles;
  int totCost = 0;
  for (int i = 0; i < nbEtoiles; ++i) {
    int x, y, c;
    cin >> x >> y >> c;
    totCost += c;
    onPos[x - 1].emplace_back(y, c);
  }

  Fenwick<int> fen(N);

  auto DFS = [&](auto dfs, int deb, int fin,
                 int prevHeight) -> pair<min_pq<tuple<int, int, int>>, int> {
    auto [valMax, posMax] = rmq.query(deb, fin);
    min_pq<tuple<int, int, int>> toProcess;
    for (auto [y, c] : onPos[posMax])
      toProcess.emplace(y, posMax, c);

    int solFree = 0;
    int addL = 0, addR = 0;
    if (deb < posMax) {
      auto [toAdd, freeL] = dfs(dfs, deb, posMax, valMax);
      if (toAdd.size() > toProcess.size())
        toAdd.swap(toProcess);
      while (!toAdd.empty()) {
        toProcess.emplace(toAdd.top());
        toAdd.pop();
      }
      addL = freeL;
      solFree += freeL;
    }
    if (posMax + 1 < fin) {
      auto [toAdd, freeR] = dfs(dfs, posMax + 1, fin, valMax);
      if (toAdd.size() > toProcess.size())
        toAdd.swap(toProcess);
      while (!toAdd.empty()) {
        toProcess.emplace(toAdd.top());
        toAdd.pop();
      }
      addR = freeR;
      solFree += freeR;
    }
    fen.rangeAdd(posMax, fin, addL);
    fen.rangeAdd(deb, posMax + 1, addR);

    while (!toProcess.empty() and get<0>(toProcess.top()) <= prevHeight) {
      auto [y, x, c] = toProcess.top();
      toProcess.pop();
      int gain = c + fen.point(x);
      dbg(x, y, gain, fen.point(x));
      solFree = max(solFree, gain);
    }
    dbg(deb, fin, solFree);
    return pair(toProcess, solFree);
  };
  cout << totCost - DFS(DFS, 0, N, 1e18).second << endl;
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 324 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 324 KB Output is correct
10 Correct 1 ms 512 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 324 KB Output is correct
16 Correct 1 ms 468 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 468 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 468 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 324 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 324 KB Output is correct
10 Correct 1 ms 512 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 324 KB Output is correct
16 Correct 1 ms 468 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 468 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 468 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 2 ms 724 KB Output is correct
24 Correct 2 ms 768 KB Output is correct
25 Correct 2 ms 796 KB Output is correct
26 Correct 2 ms 840 KB Output is correct
27 Correct 2 ms 724 KB Output is correct
28 Correct 2 ms 840 KB Output is correct
29 Correct 2 ms 724 KB Output is correct
30 Correct 2 ms 852 KB Output is correct
31 Correct 2 ms 724 KB Output is correct
32 Correct 3 ms 1236 KB Output is correct
33 Correct 3 ms 1236 KB Output is correct
34 Correct 3 ms 1108 KB Output is correct
35 Correct 3 ms 1108 KB Output is correct
36 Correct 4 ms 1364 KB Output is correct
37 Correct 3 ms 1236 KB Output is correct
38 Correct 2 ms 1492 KB Output is correct
39 Correct 3 ms 796 KB Output is correct
40 Correct 4 ms 1364 KB Output is correct
41 Correct 2 ms 852 KB Output is correct
42 Correct 2 ms 844 KB Output is correct
43 Correct 4 ms 1364 KB Output is correct
44 Correct 2 ms 852 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 324 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 324 KB Output is correct
10 Correct 1 ms 512 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 324 KB Output is correct
16 Correct 1 ms 468 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 468 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 468 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 2 ms 724 KB Output is correct
24 Correct 2 ms 768 KB Output is correct
25 Correct 2 ms 796 KB Output is correct
26 Correct 2 ms 840 KB Output is correct
27 Correct 2 ms 724 KB Output is correct
28 Correct 2 ms 840 KB Output is correct
29 Correct 2 ms 724 KB Output is correct
30 Correct 2 ms 852 KB Output is correct
31 Correct 2 ms 724 KB Output is correct
32 Correct 3 ms 1236 KB Output is correct
33 Correct 3 ms 1236 KB Output is correct
34 Correct 3 ms 1108 KB Output is correct
35 Correct 3 ms 1108 KB Output is correct
36 Correct 4 ms 1364 KB Output is correct
37 Correct 3 ms 1236 KB Output is correct
38 Correct 2 ms 1492 KB Output is correct
39 Correct 3 ms 796 KB Output is correct
40 Correct 4 ms 1364 KB Output is correct
41 Correct 2 ms 852 KB Output is correct
42 Correct 2 ms 844 KB Output is correct
43 Correct 4 ms 1364 KB Output is correct
44 Correct 2 ms 852 KB Output is correct
45 Correct 204 ms 68700 KB Output is correct
46 Correct 185 ms 67740 KB Output is correct
47 Correct 181 ms 66672 KB Output is correct
48 Correct 183 ms 68772 KB Output is correct
49 Correct 187 ms 66244 KB Output is correct
50 Correct 176 ms 66260 KB Output is correct
51 Correct 201 ms 66532 KB Output is correct
52 Correct 182 ms 68120 KB Output is correct
53 Correct 182 ms 67988 KB Output is correct
54 Execution timed out 1585 ms 118744 KB Time limit exceeded
55 Halted 0 ms 0 KB -