oj.uz

Submission #814874

# Submission time Handle Problem Language Result Execution time Memory
814874 2023-08-08T10:52:05 Z KoD Radio Towers (IOI22_towers) C++17
17 / 100
 1145 ms 40604 KB 
#include "towers.h"

#include <algorithm>
#include <array>
#include <iostream>
#include <iterator>
#include <map>
#include <numeric>
#include <queue>
#include <set>
#include <string>
#include <tuple>
#include <utility>
#include <vector>

namespace kod {

using std::cerr;
using std::cin;
using std::cout;
using std::endl;

using std::array;
using std::pair;
using std::string;
using std::tuple;
using std::vector;

using std::begin;
using std::end;

using ll = long long;
constexpr int inf = (1 << 30) - 1;
constexpr ll infll = (1ll << 62) - 1;

template <class F> int binary_search(int ok, int ng, const F& f) {
  while (std::abs(ok - ng) > 1) {
    const int md = (ok + ng) / 2;
    (f(md) ? ok : ng) = md;
  }
  return ok;
}

struct sparse_table {
  sparse_table() = default;

  explicit sparse_table(vector<int> a) {
    const int n = (int)a.size();
    table.push_back(std::move(a));
    for (int d = 1;; ++d) {
      const int m = n - (1 << d) + 1;
      if (m <= 0) break;
      table.emplace_back(m, -inf);
      for (int i = 0; i < m; ++i) {
        table[d][i] = std::max(table[d - 1][i], table[d - 1][i + (1 << (d - 1))]);
      }
    }
  }

  int range_max(int l, int r) {
    if (l == r) return -inf;
    const int d = 31 - __builtin_clz(r - l);
    return std::max(table[d][l], table[d][r - (1 << d)]);
  }

 private:
  vector<vector<int>> table;
};

struct Node {
  int l, r, sum;
};
vector<Node> node = {{0, 0, 0}};
int make_node(Node n) {
  node.push_back(std::move(n));
  return (int)node.size() - 1;
}
int make_leaf(int x) { return make_node({0, 0, x}); }
int make_parent(int l, int r) { return make_node({l, r, node[l].sum + node[r].sum}); }
int add(int u, int i, int x, int l, int r) {
  if (r - l == 1) return make_leaf(x);
  const int m = (l + r) / 2;
  if (i < m) return make_parent(add(node[u].l, i, x, l, m), node[u].r);
  return make_parent(node[u].l, add(node[u].r, i, x, m, r));
}
int fold(int u, int i, int j, int l, int r) {
  if (u == 0) return 0;
  if (j <= l || r <= i) return 0;
  if (i <= l && r <= j) return node[u].sum;
  const int m = (l + r) / 2;
  return fold(node[u].l, i, j, l, m) + fold(node[u].r, i, j, m, r);
}

struct segment_tree {
  struct Data {
    int min, max, up, down;
  };

  segment_tree() = default;

  explicit segment_tree(const vector<int>& H) {
    size = (int)H.size();
    data.resize(2 * size, {inf, -inf, -inf, -inf});
    for (int i = 0; i < size; ++i) data[i + size] = {H[i], H[i], -inf, -inf};
    for (int i = size - 1; i > 0; --i) data[i] = merge(data[2 * i], data[2 * i + 1]);
  }

  Data fold(int l, int r) const {
    l += size;
    r += size;
    Data ret_l = {inf, -inf, -inf, -inf};
    Data ret_r = {inf, -inf, -inf, -inf};
    while (l < r) {
      if (l & 1) ret_l = merge(ret_l, data[l++]);
      if (r & 1) ret_r = merge(data[--r], ret_r);
      l >>= 1;
      r >>= 1;
    }
    return merge(ret_l, ret_r);
  }

 private:
  int size;
  vector<Data> data;

  static Data merge(const Data& l, const Data& r) {
    return {std::min(l.min, r.min), std::max(l.max, r.max), std::max({l.up, r.up, r.max - l.min}),
            std::max({l.down, r.down, l.max - r.min})};
  }
};

int N;
vector<int> H, sortedD, nodeID;
sparse_table tableH, tableD;
segment_tree seg;

void init() {
  tableH = sparse_table(H);
  vector<int> D(N, inf), st;
  for (int i = 0; i < N; ++i) {
    while (!st.empty() && H[st.back()] >= H[i]) st.pop_back();
    if (!st.empty()) {
      int j = st.back();
      D[i] = std::min(D[i], tableH.range_max(j, i + 1) - H[i]);
    }
    st.push_back(i);
  }
  st.clear();
  for (int i = N - 1; i >= 0; --i) {
    while (!st.empty() && H[st.back()] > H[i]) st.pop_back();
    if (!st.empty()) {
      int j = st.back();
      D[i] = std::min(D[i], tableH.range_max(i, j + 1) - H[i]);
    }
    st.push_back(i);
  }
  for (int i = 0; i < N; ++i) {
    cerr << D[i] << " \n"[i == N - 1];
  }
  tableD = sparse_table(D);
  vector<int> ord(N);
  std::iota(begin(ord), end(ord), 0);
  std::sort(begin(ord), end(ord), [&](int i, int j) { return D[i] < D[j]; });
  sortedD.resize(N);
  nodeID.resize(N + 1);
  for (int i = N - 1; i >= 0; --i) {
    const int k = ord[i];
    sortedD[i] = D[k];
    nodeID[i] = add(nodeID[i + 1], k, 1, 0, N);
  }
  seg = segment_tree(H);
}

int query(int L, int R, int D) {
  const int id = nodeID[std::lower_bound(begin(sortedD), end(sortedD), D) - begin(sortedD)];
  const int n = fold(id, L, R, 0, N);
  if (n == 0) return 1 + (seg.fold(L, R).up >= D || seg.fold(L, R).down >= D);
  int s = binary_search(R, L, [&](int k) { return tableD.range_max(L, k) >= D; }) - 1;
  int t = binary_search(L, R, [&](int k) { return tableD.range_max(k, R) >= D; });
  int S = binary_search(L, s, [&](int k) { return tableH.range_max(k, s) >= H[s] + D; }) + 1;
  int T = binary_search(R + 1, t, [&](int k) { return tableH.range_max(t, k) >= H[t] + D; }) - 1;
  // cerr << L << ' ' << S << ' ' << s << ' ' << t << ' ' << T << ' ' << R << endl;
  return n + (seg.fold(L, S).up >= D) + (seg.fold(T, R).down >= D);
}

}  // namespace kod

void init(int N, std::vector<int> H) {
  kod::N = N;
  kod::H = std::move(H);
  kod::init();
}

int max_towers(int L, int R, int D) { return kod::query(L, R + 1, D); }

Subtask #1
0 / 4.0

# Verdict Execution time Memory Grader output
1 Incorrect 339 ms 22716 KB 1st lines differ - on the 1st token, expected: '1', found: '2'
2 Halted 0 ms 0 KB -

Subtask #2
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 464 KB Output is correct
2 Correct 5 ms 1040 KB Output is correct
3 Correct 5 ms 988 KB Output is correct
4 Correct 6 ms 1040 KB Output is correct
5 Correct 6 ms 984 KB Output is correct
6 Correct 8 ms 1040 KB Output is correct
7 Correct 5 ms 1040 KB Output is correct
8 Correct 5 ms 1040 KB Output is correct
9 Incorrect 6 ms 992 KB 1st lines differ - on the 1st token, expected: '1', found: '2'
10 Halted 0 ms 0 KB -

Subtask #3
0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 464 KB Output is correct
2 Correct 5 ms 1040 KB Output is correct
3 Correct 5 ms 988 KB Output is correct
4 Correct 6 ms 1040 KB Output is correct
5 Correct 6 ms 984 KB Output is correct
6 Correct 8 ms 1040 KB Output is correct
7 Correct 5 ms 1040 KB Output is correct
8 Correct 5 ms 1040 KB Output is correct
9 Incorrect 6 ms 992 KB 1st lines differ - on the 1st token, expected: '1', found: '2'
10 Halted 0 ms 0 KB -

Subtask #4
0 / 14.0

# Verdict Execution time Memory Grader output
1 Incorrect 1145 ms 40028 KB 74909th lines differ - on the 1st token, expected: '1', found: '2'
2 Halted 0 ms 0 KB -

Subtask #5
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 330 ms 9808 KB Output is correct
2 Correct 1052 ms 40156 KB Output is correct
3 Correct 1002 ms 40144 KB Output is correct
4 Correct 909 ms 40316 KB Output is correct
5 Correct 971 ms 40340 KB Output is correct
6 Correct 946 ms 40364 KB Output is correct
7 Correct 1069 ms 40292 KB Output is correct
8 Correct 977 ms 40584 KB Output is correct
9 Correct 922 ms 40552 KB Output is correct
10 Correct 1006 ms 40408 KB Output is correct
11 Correct 1020 ms 40536 KB Output is correct
12 Correct 248 ms 40208 KB Output is correct
13 Correct 257 ms 40364 KB Output is correct
14 Correct 252 ms 40292 KB Output is correct
15 Correct 242 ms 40560 KB Output is correct
16 Correct 264 ms 40192 KB Output is correct
17 Correct 251 ms 39688 KB Output is correct
18 Correct 260 ms 40160 KB Output is correct
19 Correct 269 ms 40156 KB Output is correct
20 Correct 259 ms 40368 KB Output is correct
21 Correct 266 ms 40288 KB Output is correct
22 Correct 267 ms 40292 KB Output is correct
23 Correct 265 ms 40332 KB Output is correct
24 Correct 260 ms 40604 KB Output is correct
25 Correct 297 ms 40576 KB Output is correct
26 Correct 245 ms 40196 KB Output is correct
27 Correct 273 ms 40596 KB Output is correct
28 Correct 7 ms 1040 KB Output is correct
29 Correct 5 ms 988 KB Output is correct
30 Correct 5 ms 1040 KB Output is correct
31 Correct 5 ms 1040 KB Output is correct
32 Correct 7 ms 1040 KB Output is correct
33 Correct 3 ms 592 KB Output is correct
34 Correct 5 ms 1040 KB Output is correct
35 Correct 5 ms 976 KB Output is correct
36 Correct 5 ms 1040 KB Output is correct
37 Correct 7 ms 912 KB Output is correct
38 Correct 6 ms 1040 KB Output is correct
39 Correct 6 ms 912 KB Output is correct
40 Correct 5 ms 1040 KB Output is correct
41 Correct 5 ms 1040 KB Output is correct
42 Correct 5 ms 1040 KB Output is correct
43 Correct 5 ms 1040 KB Output is correct

Subtask #6
0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 464 KB Output is correct
2 Correct 5 ms 1040 KB Output is correct
3 Correct 5 ms 988 KB Output is correct
4 Correct 6 ms 1040 KB Output is correct
5 Correct 6 ms 984 KB Output is correct
6 Correct 8 ms 1040 KB Output is correct
7 Correct 5 ms 1040 KB Output is correct
8 Correct 5 ms 1040 KB Output is correct
9 Incorrect 6 ms 992 KB 1st lines differ - on the 1st token, expected: '1', found: '2'
10 Halted 0 ms 0 KB -

Subtask #7
0 / 23.0

# Verdict Execution time Memory Grader output
1 Incorrect 339 ms 22716 KB 1st lines differ - on the 1st token, expected: '1', found: '2'
2 Halted 0 ms 0 KB -