oj.uz

Submission #625462

# Submission time Handle Problem Language Result Execution time Memory
625462 2022-08-10T12:05:41 Z model_code Radio Towers (IOI22_towers) C++17
56 / 100
 4000 ms 55948 KB 
// time_limit/solution-ayaze-d-equals.cpp
#include "towers.h"

#include <bits/stdc++.h>
using namespace std;

const int kLogN = 17;
const int kInf = 2'000'000'000;

struct Fenwick {
  int n;
  vector<vector<int>> tree;
  vector<vector<int>> nums;

  void init(int _n, vector<tuple<int, int, int>> vec) {
    n = _n;
    tree.clear();
    nums.clear();
    tree.resize(n+5);
    nums.resize(n+5);

    for (auto &[row, col, _] : vec) { // normalize
      row++; col++;
    }
    for (auto [row, col, _] : vec) {
      for (int i = row ; i < n+5 ; i += i & -i) {
        nums[i].push_back(col);
      }
    }
    for (int i = 0 ; i < n+5 ; i++) {
      nums[i].push_back(-1);
      sort(nums[i].begin(), nums[i].end());
      nums[i].erase(unique(nums[i].begin(), nums[i].end()), nums[i].end());
      tree[i].resize(nums[i].size());
    }
    for (auto [row, col, val] : vec) {
      update(row, col, val);
    }
  }

  int getIdx(int r, int val) {
    return upper_bound(nums[r].begin(), nums[r].end(), val) - nums[r].begin() - 1;
  }

  void update(int r, int c, int val) {
    for (int i = r ; i < n+5 ; i += i & -i) {
      int idx = getIdx(i, c);
      for (int j = idx ; j < static_cast<int>(tree[i].size()) ; j += j & -j) {
        tree[i][j] += val;
      }
    }
  }

  int query(int l, int r) {
    l++; r++;
    int ret = 0;
    for (int x = l ; x > 0 ; x -= x & -x) {
      int idx = getIdx(x, r);
      for (int j = idx ; j > 0 ; j -= j & -j) {
        ret += tree[x][j];
      }
    }
    return ret;
  }
};

vector<int> D_bounds_left, D_bounds_right;
vector<int> left_lower, right_lower;
int N;

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

  vector<pair<int, int>> ordered_H;
  for (int i = 0 ; i < N ; i++) {
    ordered_H.push_back({H[i], i});
  }
  sort(ordered_H.begin(), ordered_H.end());

  left_lower.resize(N, -1);
  right_lower.resize(N, -1);
  set<int> active;
  for (auto [_, i] : ordered_H) {
    {
      auto it = active.lower_bound(i);
      if (it != active.begin()) {
        it--;
        left_lower[i] = *it;
      }
    }
    {
      auto it = active.upper_bound(i);
      if (it != active.end()) {
        right_lower[i] = *it;
      }
    }
    active.insert(i);
  }

  vector<vector<int>> sparse_table(N, vector<int>(kLogN, -1));
  for (int i = 0 ; i < N ; i++) {
    sparse_table[i][0] = H[i];
  }
  for (int j = 1 ; j < kLogN ; j++) {
    for (int i = 0 ; i < N ; i++) {
      if (i + (1 << (j-1)) < N) {
        sparse_table[i][j] = max(sparse_table[i][j-1], sparse_table[i + (1 << (j-1))][j-1]);
      }
    }
  }
  function<int(int, int)> queryMax = [&](int l, int r) -> int {
    int lg = 0;
    while (l + (1 << lg) - 1 <= r) lg++;
    lg--;
    return max(sparse_table[l][lg], sparse_table[r - (1 << lg) + 1][lg]);
  };

  for (int i = 0 ; i < N ; i++) {
    int D_max_left = kInf, D_max_right = kInf;
    
    if (left_lower[i] != -1) {
      D_max_left = -1;
      int mx = queryMax(left_lower[i], i);
      D_max_left = mx - H[i];
    }
    if (right_lower[i] != -1) {
      D_max_right = -1;
      int mx = queryMax(i, right_lower[i]);
      D_max_right = mx - H[i];
    }

    D_bounds_left.push_back(D_max_left);
    D_bounds_right.push_back(D_max_right);
  }
}

Fenwick ft;
int last_D = -1;

void build(int D) {
  vector<tuple<int, int, int>> vec;
  for (int i = 0 ; i < N ; i++) {
    int l, r;

    if (left_lower[i] == -1 || D_bounds_left[i] >= D) l = 0; 
    else l = left_lower[i]+1;
    
    if (right_lower[i] == -1 || D_bounds_right[i] >= D) r = N-1;
    else r = right_lower[i]-1;
    // l <= L <= i <= R <= r
    // (l, i) to (i, r)
    // add(l, i)
    // dec(l, r+1)
    // dec(i+1, i)
    // add(i+1, r+1)
    vec.push_back(make_tuple(l, i, 1));
    vec.push_back(make_tuple(l, r+1, -1));
    vec.push_back(make_tuple(i+1, i, -1));
    vec.push_back(make_tuple(i+1, r+1, 1));
  }

  ft.init(N, vec);
}

int max_towers(int L, int R, int D) {
  if (D != last_D) {
    last_D = D;
    build(D);
  }

  return ft.query(L, R);
}

Subtask #1
0 / 4.0

# Verdict Execution time Memory Grader output
1 Execution timed out 4051 ms 31984 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 388 KB Output is correct
2 Correct 9 ms 1024 KB Output is correct
3 Correct 8 ms 1008 KB Output is correct
4 Correct 8 ms 976 KB Output is correct
5 Correct 6 ms 1024 KB Output is correct
6 Correct 7 ms 976 KB Output is correct
7 Correct 7 ms 976 KB Output is correct
8 Correct 4 ms 976 KB Output is correct
9 Correct 12 ms 1192 KB Output is correct
10 Correct 12 ms 1052 KB Output is correct
11 Correct 11 ms 1140 KB Output is correct
12 Correct 1 ms 208 KB Output is correct
13 Correct 11 ms 1104 KB Output is correct
14 Correct 12 ms 1140 KB Output is correct
15 Correct 7 ms 1024 KB Output is correct
16 Correct 7 ms 1064 KB Output is correct
17 Correct 8 ms 976 KB Output is correct
18 Correct 12 ms 1192 KB Output is correct
19 Correct 7 ms 992 KB Output is correct
20 Correct 9 ms 996 KB Output is correct
21 Correct 7 ms 1024 KB Output is correct
22 Correct 8 ms 1020 KB Output is correct
23 Correct 9 ms 1092 KB Output is correct
24 Correct 6 ms 976 KB Output is correct
25 Correct 4 ms 592 KB Output is correct
26 Correct 8 ms 980 KB Output is correct
27 Correct 7 ms 1048 KB Output is correct
28 Correct 7 ms 1020 KB Output is correct
29 Correct 6 ms 1024 KB Output is correct
30 Correct 6 ms 1024 KB Output is correct
31 Correct 7 ms 976 KB Output is correct
32 Correct 6 ms 996 KB Output is correct
33 Correct 9 ms 1104 KB Output is correct
34 Correct 6 ms 976 KB Output is correct
35 Correct 9 ms 1104 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 388 KB Output is correct
2 Correct 9 ms 1024 KB Output is correct
3 Correct 8 ms 1008 KB Output is correct
4 Correct 8 ms 976 KB Output is correct
5 Correct 6 ms 1024 KB Output is correct
6 Correct 7 ms 976 KB Output is correct
7 Correct 7 ms 976 KB Output is correct
8 Correct 4 ms 976 KB Output is correct
9 Correct 12 ms 1192 KB Output is correct
10 Correct 12 ms 1052 KB Output is correct
11 Correct 11 ms 1140 KB Output is correct
12 Correct 1 ms 208 KB Output is correct
13 Correct 11 ms 1104 KB Output is correct
14 Correct 12 ms 1140 KB Output is correct
15 Correct 7 ms 1024 KB Output is correct
16 Correct 7 ms 1064 KB Output is correct
17 Correct 8 ms 976 KB Output is correct
18 Correct 12 ms 1192 KB Output is correct
19 Correct 7 ms 992 KB Output is correct
20 Correct 9 ms 996 KB Output is correct
21 Correct 7 ms 1024 KB Output is correct
22 Correct 8 ms 1020 KB Output is correct
23 Correct 9 ms 1092 KB Output is correct
24 Correct 6 ms 976 KB Output is correct
25 Correct 4 ms 592 KB Output is correct
26 Correct 8 ms 980 KB Output is correct
27 Correct 7 ms 1048 KB Output is correct
28 Correct 7 ms 1020 KB Output is correct
29 Correct 6 ms 1024 KB Output is correct
30 Correct 6 ms 1024 KB Output is correct
31 Correct 7 ms 976 KB Output is correct
32 Correct 6 ms 996 KB Output is correct
33 Correct 9 ms 1104 KB Output is correct
34 Correct 6 ms 976 KB Output is correct
35 Correct 9 ms 1104 KB Output is correct
36 Correct 408 ms 29480 KB Output is correct
37 Correct 671 ms 42544 KB Output is correct
38 Correct 746 ms 45516 KB Output is correct
39 Correct 600 ms 41224 KB Output is correct
40 Correct 666 ms 46516 KB Output is correct
41 Correct 633 ms 43764 KB Output is correct
42 Correct 689 ms 47048 KB Output is correct
43 Correct 395 ms 45976 KB Output is correct
44 Correct 1118 ms 55412 KB Output is correct
45 Correct 405 ms 45812 KB Output is correct
46 Correct 1062 ms 54260 KB Output is correct
47 Correct 622 ms 47740 KB Output is correct
48 Correct 627 ms 47168 KB Output is correct
49 Correct 639 ms 47200 KB Output is correct
50 Correct 1036 ms 55420 KB Output is correct
51 Correct 393 ms 45820 KB Output is correct
52 Correct 679 ms 47796 KB Output is correct
53 Correct 685 ms 47212 KB Output is correct
54 Correct 677 ms 47228 KB Output is correct
55 Correct 1022 ms 55412 KB Output is correct
56 Correct 463 ms 45924 KB Output is correct
57 Correct 637 ms 41504 KB Output is correct
58 Correct 651 ms 44348 KB Output is correct
59 Correct 607 ms 46060 KB Output is correct
60 Correct 633 ms 47344 KB Output is correct
61 Correct 605 ms 46636 KB Output is correct
62 Correct 623 ms 45420 KB Output is correct
63 Correct 593 ms 46720 KB Output is correct
64 Correct 371 ms 45968 KB Output is correct
65 Correct 914 ms 55412 KB Output is correct
66 Correct 395 ms 45920 KB Output is correct
67 Correct 843 ms 55440 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1558 ms 47536 KB Output is correct
2 Correct 1660 ms 47828 KB Output is correct
3 Correct 1838 ms 47796 KB Output is correct
4 Correct 1730 ms 47168 KB Output is correct
5 Correct 1760 ms 47236 KB Output is correct
6 Correct 1590 ms 47188 KB Output is correct
7 Correct 1586 ms 47176 KB Output is correct
8 Correct 1455 ms 45872 KB Output is correct
9 Correct 2111 ms 55412 KB Output is correct
10 Correct 1523 ms 46000 KB Output is correct
11 Correct 1686 ms 55948 KB Output is correct
12 Correct 1473 ms 46380 KB Output is correct
13 Correct 1992 ms 55416 KB Output is correct
14 Correct 0 ms 208 KB Output is correct
15 Correct 8 ms 1168 KB Output is correct
16 Correct 11 ms 1104 KB Output is correct
17 Correct 602 ms 47836 KB Output is correct
18 Correct 521 ms 47164 KB Output is correct
19 Correct 518 ms 47164 KB Output is correct
20 Correct 802 ms 55444 KB Output is correct
21 Correct 334 ms 45828 KB Output is correct
22 Correct 604 ms 47792 KB Output is correct
23 Correct 635 ms 47200 KB Output is correct
24 Correct 566 ms 47224 KB Output is correct
25 Correct 824 ms 55524 KB Output is correct
26 Correct 337 ms 45932 KB Output is correct
27 Correct 6 ms 976 KB Output is correct
28 Correct 6 ms 976 KB Output is correct
29 Correct 6 ms 1036 KB Output is correct
30 Correct 7 ms 1104 KB Output is correct
31 Correct 5 ms 976 KB Output is correct
32 Correct 8 ms 976 KB Output is correct
33 Correct 6 ms 976 KB Output is correct
34 Correct 6 ms 976 KB Output is correct
35 Correct 9 ms 1104 KB Output is correct
36 Correct 4 ms 1068 KB Output is correct

Subtask #5
0 / 17.0

# Verdict Execution time Memory Grader output
1 Execution timed out 4070 ms 13740 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #6
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 388 KB Output is correct
2 Correct 9 ms 1024 KB Output is correct
3 Correct 8 ms 1008 KB Output is correct
4 Correct 8 ms 976 KB Output is correct
5 Correct 6 ms 1024 KB Output is correct
6 Correct 7 ms 976 KB Output is correct
7 Correct 7 ms 976 KB Output is correct
8 Correct 4 ms 976 KB Output is correct
9 Correct 12 ms 1192 KB Output is correct
10 Correct 12 ms 1052 KB Output is correct
11 Correct 11 ms 1140 KB Output is correct
12 Correct 1 ms 208 KB Output is correct
13 Correct 11 ms 1104 KB Output is correct
14 Correct 12 ms 1140 KB Output is correct
15 Correct 7 ms 1024 KB Output is correct
16 Correct 7 ms 1064 KB Output is correct
17 Correct 8 ms 976 KB Output is correct
18 Correct 12 ms 1192 KB Output is correct
19 Correct 7 ms 992 KB Output is correct
20 Correct 9 ms 996 KB Output is correct
21 Correct 7 ms 1024 KB Output is correct
22 Correct 8 ms 1020 KB Output is correct
23 Correct 9 ms 1092 KB Output is correct
24 Correct 6 ms 976 KB Output is correct
25 Correct 4 ms 592 KB Output is correct
26 Correct 8 ms 980 KB Output is correct
27 Correct 7 ms 1048 KB Output is correct
28 Correct 7 ms 1020 KB Output is correct
29 Correct 6 ms 1024 KB Output is correct
30 Correct 6 ms 1024 KB Output is correct
31 Correct 7 ms 976 KB Output is correct
32 Correct 6 ms 996 KB Output is correct
33 Correct 9 ms 1104 KB Output is correct
34 Correct 6 ms 976 KB Output is correct
35 Correct 9 ms 1104 KB Output is correct
36 Correct 408 ms 29480 KB Output is correct
37 Correct 671 ms 42544 KB Output is correct
38 Correct 746 ms 45516 KB Output is correct
39 Correct 600 ms 41224 KB Output is correct
40 Correct 666 ms 46516 KB Output is correct
41 Correct 633 ms 43764 KB Output is correct
42 Correct 689 ms 47048 KB Output is correct
43 Correct 395 ms 45976 KB Output is correct
44 Correct 1118 ms 55412 KB Output is correct
45 Correct 405 ms 45812 KB Output is correct
46 Correct 1062 ms 54260 KB Output is correct
47 Correct 622 ms 47740 KB Output is correct
48 Correct 627 ms 47168 KB Output is correct
49 Correct 639 ms 47200 KB Output is correct
50 Correct 1036 ms 55420 KB Output is correct
51 Correct 393 ms 45820 KB Output is correct
52 Correct 679 ms 47796 KB Output is correct
53 Correct 685 ms 47212 KB Output is correct
54 Correct 677 ms 47228 KB Output is correct
55 Correct 1022 ms 55412 KB Output is correct
56 Correct 463 ms 45924 KB Output is correct
57 Correct 637 ms 41504 KB Output is correct
58 Correct 651 ms 44348 KB Output is correct
59 Correct 607 ms 46060 KB Output is correct
60 Correct 633 ms 47344 KB Output is correct
61 Correct 605 ms 46636 KB Output is correct
62 Correct 623 ms 45420 KB Output is correct
63 Correct 593 ms 46720 KB Output is correct
64 Correct 371 ms 45968 KB Output is correct
65 Correct 914 ms 55412 KB Output is correct
66 Correct 395 ms 45920 KB Output is correct
67 Correct 843 ms 55440 KB Output is correct
68 Correct 1558 ms 47536 KB Output is correct
69 Correct 1660 ms 47828 KB Output is correct
70 Correct 1838 ms 47796 KB Output is correct
71 Correct 1730 ms 47168 KB Output is correct
72 Correct 1760 ms 47236 KB Output is correct
73 Correct 1590 ms 47188 KB Output is correct
74 Correct 1586 ms 47176 KB Output is correct
75 Correct 1455 ms 45872 KB Output is correct
76 Correct 2111 ms 55412 KB Output is correct
77 Correct 1523 ms 46000 KB Output is correct
78 Correct 1686 ms 55948 KB Output is correct
79 Correct 1473 ms 46380 KB Output is correct
80 Correct 1992 ms 55416 KB Output is correct
81 Correct 0 ms 208 KB Output is correct
82 Correct 8 ms 1168 KB Output is correct
83 Correct 11 ms 1104 KB Output is correct
84 Correct 602 ms 47836 KB Output is correct
85 Correct 521 ms 47164 KB Output is correct
86 Correct 518 ms 47164 KB Output is correct
87 Correct 802 ms 55444 KB Output is correct
88 Correct 334 ms 45828 KB Output is correct
89 Correct 604 ms 47792 KB Output is correct
90 Correct 635 ms 47200 KB Output is correct
91 Correct 566 ms 47224 KB Output is correct
92 Correct 824 ms 55524 KB Output is correct
93 Correct 337 ms 45932 KB Output is correct
94 Correct 6 ms 976 KB Output is correct
95 Correct 6 ms 976 KB Output is correct
96 Correct 6 ms 1036 KB Output is correct
97 Correct 7 ms 1104 KB Output is correct
98 Correct 5 ms 976 KB Output is correct
99 Correct 8 ms 976 KB Output is correct
100 Correct 6 ms 976 KB Output is correct
101 Correct 6 ms 976 KB Output is correct
102 Correct 9 ms 1104 KB Output is correct
103 Correct 4 ms 1068 KB Output is correct
104 Correct 1464 ms 41564 KB Output is correct
105 Correct 1808 ms 45824 KB Output is correct
106 Correct 1618 ms 43780 KB Output is correct
107 Correct 1632 ms 45516 KB Output is correct
108 Correct 1196 ms 41276 KB Output is correct
109 Correct 1633 ms 45444 KB Output is correct
110 Correct 1607 ms 47316 KB Output is correct
111 Correct 1415 ms 46064 KB Output is correct
112 Correct 2005 ms 55412 KB Output is correct
113 Correct 1220 ms 45944 KB Output is correct
114 Correct 1953 ms 55684 KB Output is correct

Subtask #7
0 / 23.0

# Verdict Execution time Memory Grader output
1 Execution timed out 4051 ms 31984 KB Time limit exceeded
2 Halted 0 ms 0 KB -