oj.uz

Submission #736268

# Submission time Handle Problem Language Result Execution time Memory
736268 2023-05-05T11:33:28 Z math_rabbit_1028 Radio Towers (IOI22_towers) C++17
14 / 100
 1554 ms 38236 KB 
#include "towers.h"
#include <bits/stdc++.h>
using namespace std;
 
int n;
vector<int> arr;
vector<int> upidx, downidx;
 
struct localmax {
  int idx, d, l, r;
  bool operator<(const localmax &other) const {
    if (d == other.d) return idx < other.idx;
    return d < other.d;
  }
  void update() {
    d = arr[upidx[idx]] - max(arr[l], arr[r]);
  } 
} local_value[101010];
int adj[101010][2];
set<localmax> local;
 
vector< pair<int, int> > Dlist;
 
struct Node {
  Node *lt, *rt;
  int val;
  Node() {
    lt = rt = NULL;
    val = 0;
  }
};
Node *root[101010];
int first[101010];
 
void build(Node *node, int st, int ed) {
  if (st == ed) {
    node->val = first[st];
    return;
  }
  int mid = (st + ed) / 2;
  node->lt = new Node();
  node->rt = new Node();
  build(node->lt, st, mid);
  build(node->rt, mid + 1, ed);
  node->val = node->lt->val + node->rt->val;
}
 
void update(Node *prev, Node *now, int st, int ed, int idx, int value) {
  if (st == ed) {
    now->val = value;
    return;
  }
  int mid = (st + ed) / 2;
  if (idx <= mid) {
    now->lt = new Node();
    now->rt = prev->rt;
    update(prev->lt, now->lt, st, mid, idx, value);
  }
  else {
    now->lt = prev->lt;
    now->rt = new Node();
    update(prev->rt, now->rt, mid + 1, ed, idx, value);
  }
  now->val = now->lt->val + now->rt->val;
}
 
int get(Node *node, int st, int ed, int gs, int ge) {
  if (st > ge || ed < gs) return 0;
  if (gs <= st && ed <= ge) return node->val;
  int mid = (st + ed) / 2;
  return get(node->lt, st, mid, gs, ge) + get(node->rt, mid + 1, ed, gs, ge);
}
 
void init(int N, vector<int> H) {
  n = N;
  for (int i = 0; i < n; i++) arr.push_back(H[i]);
  
  if (arr[0] < arr[1]) downidx.push_back(0);
  for (int i = 1; i < n - 1; i++) {
    if (arr[i] > arr[i - 1] && arr[i] > arr[i + 1]) upidx.push_back(i);
    if (arr[i] < arr[i - 1] && arr[i] < arr[i + 1]) downidx.push_back(i);
  }
  if (arr[n - 1] < arr[n - 2]) downidx.push_back(n - 1);
 
  for (int i = 0; i < upidx.size(); i++) {
    local_value[i] = {i, 0, downidx[i], downidx[i + 1]};
    local_value[i].update();
    local.insert(local_value[i]);
    adj[i][0] = i - 1;
    adj[i][1] = i + 1;
  }
 
  while (!local.empty()) {
    localmax now = *local.begin();
    Dlist.push_back({now.d, upidx[now.idx]});
    int next = (arr[now.l] < arr[now.r] ? now.l : now.r);
    local.erase(local.begin());
    if (adj[now.idx][0] >= 0) {
      set<localmax>::iterator iter = local.find(local_value[adj[now.idx][0]]);
      if (iter != local.end()) {
        local.erase(iter);
        local_value[adj[now.idx][0]].r = next;
        local_value[adj[now.idx][0]].update();
        local.insert(local_value[adj[now.idx][0]]);
        adj[adj[now.idx][0]][1] = adj[now.idx][1];
      }
    }
    if (adj[now.idx][1] < upidx.size()) {
      set<localmax>::iterator iter = local.find(local_value[adj[now.idx][1]]);
      if (iter != local.end()) {
        local.erase(iter);
        local_value[adj[now.idx][1]].l = next;
        local_value[adj[now.idx][1]].update();
        local.insert(local_value[adj[now.idx][1]]);
        adj[adj[now.idx][1]][0] = adj[now.idx][0];
      }
    }
  }
 
  for (int i = 0; i < upidx.size(); i++) first[upidx[i]] = 1;
 
  root[0] = new Node();
  build(root[0], 0, n - 1);
  for (int i = 0; i < Dlist.size(); i++) {
    root[i + 1] = new Node();
    update(root[i], root[i + 1], 0, n - 1, Dlist[i].second, 0);
  }
 
 
}
 
int max_towers(int L, int R, int D) {
  int d = lower_bound(Dlist.begin(), Dlist.end(), make_pair(D, 0)) - Dlist.begin();
  int ans = get(root[d], 0, n - 1, L + 1, R - 1) + 1;
  if (arr[L] < arr[L + 1]) {
    int st = L, ed = R;
    if (get(root[d], 0, n - 1, L, ed) > 0) {
      while (st < ed) {
        int mid = (st + ed) / 2;
        if (get(root[d], 0, n - 1, L, mid) > 0) ed = mid;
        else st = mid + 1;
      }
      if (arr[st] < arr[L] + D) ans--;
    }
  }
  if (arr[R] < arr[R - 1]) {
    int st = L, ed = R;
    if (get(root[d], 0, n - 1, L, R) > 0) {
      while (st < ed) {
        int mid = (st + ed + 1) / 2;
        if (get(root[d], 0, n - 1, mid, R) > 0) st = mid;
        else ed = mid - 1;
      }
      if (arr[st] < arr[R] + D) ans--;
    }
  }
  return ans;
}

Compilation message

towers.cpp: In function 'void init(int, std::vector<int>)':
towers.cpp:85:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   85 |   for (int i = 0; i < upidx.size(); i++) {
      |                   ~~^~~~~~~~~~~~~~
towers.cpp:108:25: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  108 |     if (adj[now.idx][1] < upidx.size()) {
      |         ~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~
towers.cpp:120:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  120 |   for (int i = 0; i < upidx.size(); i++) first[upidx[i]] = 1;
      |                   ~~^~~~~~~~~~~~~~
towers.cpp:124:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  124 |   for (int i = 0; i < Dlist.size(); i++) {
      |                   ~~^~~~~~~~~~~~~~

Subtask #1
0 / 4.0

# Verdict Execution time Memory Grader output
1 Incorrect 385 ms 4676 KB 18th lines differ - on the 1st token, expected: '1', found: '0'
2 Halted 0 ms 0 KB -

Subtask #2
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 2 ms 720 KB Output is correct
3 Incorrect 2 ms 720 KB 1st lines differ - on the 1st token, expected: '91', found: '90'
4 Halted 0 ms 0 KB -

Subtask #3
0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 2 ms 720 KB Output is correct
3 Incorrect 2 ms 720 KB 1st lines differ - on the 1st token, expected: '91', found: '90'
4 Halted 0 ms 0 KB -

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1069 ms 27820 KB Output is correct
2 Correct 1302 ms 28084 KB Output is correct
3 Correct 1262 ms 28100 KB Output is correct
4 Correct 1554 ms 38080 KB Output is correct
5 Correct 1483 ms 38180 KB Output is correct
6 Correct 1383 ms 38080 KB Output is correct
7 Correct 1547 ms 38180 KB Output is correct
8 Correct 770 ms 7724 KB Output is correct
9 Correct 1108 ms 7712 KB Output is correct
10 Correct 1135 ms 7752 KB Output is correct
11 Correct 1253 ms 7744 KB Output is correct
12 Correct 948 ms 7856 KB Output is correct
13 Correct 964 ms 7744 KB Output is correct
14 Correct 0 ms 208 KB Output is correct
15 Correct 1 ms 464 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 79 ms 28088 KB Output is correct
18 Correct 120 ms 38076 KB Output is correct
19 Correct 123 ms 38236 KB Output is correct
20 Correct 17 ms 7716 KB Output is correct
21 Correct 18 ms 7700 KB Output is correct
22 Correct 89 ms 28096 KB Output is correct
23 Correct 129 ms 38176 KB Output is correct
24 Correct 131 ms 38180 KB Output is correct
25 Correct 18 ms 7732 KB Output is correct
26 Correct 19 ms 7712 KB Output is correct
27 Correct 1 ms 720 KB Output is correct
28 Correct 2 ms 848 KB Output is correct
29 Correct 2 ms 848 KB Output is correct
30 Correct 1 ms 464 KB Output is correct
31 Correct 1 ms 464 KB Output is correct
32 Correct 1 ms 720 KB Output is correct
33 Correct 2 ms 848 KB Output is correct
34 Correct 2 ms 848 KB Output is correct
35 Correct 1 ms 464 KB Output is correct
36 Correct 1 ms 464 KB Output is correct

Subtask #5
0 / 17.0

# Verdict Execution time Memory Grader output
1 Incorrect 346 ms 6480 KB 3rd lines differ - on the 1st token, expected: '150', found: '149'
2 Halted 0 ms 0 KB -

Subtask #6
0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 2 ms 720 KB Output is correct
3 Incorrect 2 ms 720 KB 1st lines differ - on the 1st token, expected: '91', found: '90'
4 Halted 0 ms 0 KB -

Subtask #7
0 / 23.0

# Verdict Execution time Memory Grader output
1 Incorrect 385 ms 4676 KB 18th lines differ - on the 1st token, expected: '1', found: '0'
2 Halted 0 ms 0 KB -