oj.uz

Submission #230696

# Submission time Handle Problem Language Result Execution time Memory
230696 2020-05-11T07:15:30 Z AlexLuchianov Street Lamps (APIO19_street_lamps) C++14
100 / 100
 3375 ms 303136 KB 
#include <iostream>
#include <vector>
#include <algorithm>
#include <unordered_map>
#include <set>

using namespace std;

using ll = long long;
#define MIN(a, b) (((a) < (b)) ? (a) : (b))
#define MAX(a, b) (((a) < (b)) ? (b) : (a))

int const nmax = 300000 + 5;
int sol[1 + nmax];

class FenwickTree{
private:
  vector<int> aib;
  vector<pair<int, pair<int,int>>> events;
  int n;

  void _update(int pos, int val){
    for(int x = pos; x <= n; x += (x ^ (x & (x - 1))))
      aib[x] += val;
  }
  int _query(int pos){
    int result = 0;
    for(int x = pos; 0 < x; x = (x & (x - 1)))
      result += aib[x];
    return result;
  }

public:
  void initialize(){
    vector<int> temp;
    for(int i = 0; i < events.size(); i++)
      temp.push_back(events[i].second.first);
    sort(temp.begin(), temp.end());
    temp.erase(unique(temp.begin(), temp.end()), temp.end());
    n = temp.size();
    aib.resize(1 + n);
    for(int i = 0; i < events.size(); i++) {
      int x = 0;
      for(int jump = (1 << 20); 0 < jump; jump /= 2)
        if(x + jump < temp.size() && temp[x + jump] <= events[i].second.first)
          x += jump;
      events[i].second.first = x + 1;
    }
  }

  void update(int x, int val){
    events.push_back({1, {x, val}});
  }
  void query(int x, int ptr){
    events.push_back({2, {x, ptr}});
  }

  void solve(){
    for(int i = 0; i < events.size(); i++){
      if(events[i].first == 1)
        _update(events[i].second.first, events[i].second.second);
      else
        sol[events[i].second.second] += _query(events[i].second.first);
    }
  }
};

class SegmentTree{
private:
  vector<FenwickTree> aint;
public:
  SegmentTree(int n = 0){
    aint.resize(1 + 4 * n);
  }
  void update(int node, int from, int to, int x, int y, int val){
    aint[node].update(y, val);
    if(from < to) {
      int mid = (from + to) / 2;
      if(x <= mid)
        update(node * 2, from, mid, x, y, val);
      else
        update(node * 2 + 1, mid + 1, to, x, y, val);
    }
  }
  void query(int node, int from, int to, int x, int y, int x2, int id){
    if(from == x && to == y)
      aint[node].query(x2, id);
    else {
      int mid = (from + to) / 2;
      if(x <= mid && y <= mid)
        query(node * 2, from, mid, x, y, x2, id);
      else if(mid + 1 <= x && mid + 1 <= y)
        query(node * 2 + 1, mid + 1, to, x, y, x2, id);
      else {
        query(node * 2, from, mid, x, mid, x2, id);
        query(node * 2 + 1, mid + 1, to, mid + 1, y, x2, id);
      }
    }
  }
  void clearall(int node, int from, int to){
    aint[node].initialize();
    aint[node].solve();
    if(from < to){
      int mid = (from + to) / 2;
      clearall(node * 2, from, mid);
      clearall(node * 2 + 1, mid + 1, to);
    }
  }
};

char s[5 + nmax];

struct Interval{
  int x;
  int y;
  int time;
  bool operator < (Interval const &a) const {
    return x < a.x;
  }
  Interval operator + (Interval const &a) const {
    return {x, a.y, time};
  }
};

set<Interval> myset;

SegmentTree aint;

int lim;

void _toggle(int x, int time){
  if(s[x] == '0'){
    s[x] = '1';
    set<Interval>::iterator it = myset.lower_bound({x + 1, 0, 0}), it2;
    it2 = it;
    it2--;
    Interval newp = *it2 + *it;
    aint.update(1, 1, lim, it->y, it->x, time - it->time);
    aint.update(1, 1, lim, it2->y, it2->x, time - it2->time);
    newp.time = time;
    myset.erase(it);
    myset.erase(it2);
    myset.insert(newp);
  } else {
    s[x] = '0';
    set<Interval>::iterator it = myset.lower_bound({x + 1, 0, 0});
    it--;
    aint.update(1, 1, lim, it->y, it->x, time - it->time);
    int f1 = it->x, f2 = it->y;
    myset.erase(it);
    myset.insert({f1, x, time});
    myset.insert({x + 1, f2, time});
  }
}

void _query(int x, int y, int id, int time){
  set<Interval>::iterator it = myset.lower_bound({x + 1, 0, 0});
  it--;
  if(it->x <= x && y <= it->y)
    sol[id] += time - it->time;
}

int main()
{
  ios::sync_with_stdio(0);
  cin.tie(0);

  int n, q;
  cin >> n >> q;
  lim = n + 1;
  int last = 1;
  for(int i = 1; i <= n; i++) {
    cin >> s[i];
    if(s[i] == '0') {
      myset.insert({last, i, 0});
      last = i + 1;
    }
  }
  myset.insert({last, n + 1, 0});

  aint = SegmentTree(lim);

  int ptr = 0;
  for(int i = 1; i <= q; i++){
    string op;
    cin >> op;
    if(op == "toggle") {
      int x;
      cin >> x;
      _toggle(x, i);
    } else {
      int x, y;
      cin >> x >> y;
      ++ptr;
      aint.query(1, 1, lim, y, lim, x, ptr);
      _query(x, y, ptr, i);
    }
  }

  aint.clearall(1, 1, lim);
  for(int i = 1; i <= ptr; i++)
    cout << sol[i] << '\n';

  return 0;
}

Compilation message

street_lamps.cpp: In member function 'void FenwickTree::initialize()':
street_lamps.cpp:36:22: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for(int i = 0; i < events.size(); i++)
                    ~~^~~~~~~~~~~~~~~
street_lamps.cpp:42:22: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for(int i = 0; i < events.size(); i++) {
                    ~~^~~~~~~~~~~~~~~
street_lamps.cpp:45:21: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         if(x + jump < temp.size() && temp[x + jump] <= events[i].second.first)
            ~~~~~~~~~^~~~~~~~~~~~~
street_lamps.cpp: In member function 'void FenwickTree::solve()':
street_lamps.cpp:59:22: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for(int i = 0; i < events.size(); i++){
                    ~~^~~~~~~~~~~~~~~

Subtask #1
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 5 ms 384 KB Output is correct
6 Correct 5 ms 384 KB Output is correct
7 Correct 5 ms 384 KB Output is correct

Subtask #2
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 382 ms 36020 KB Output is correct
2 Correct 450 ms 42824 KB Output is correct
3 Correct 817 ms 63236 KB Output is correct
4 Correct 2095 ms 196320 KB Output is correct
5 Correct 2121 ms 193084 KB Output is correct
6 Correct 2237 ms 209592 KB Output is correct
7 Correct 1453 ms 159420 KB Output is correct
8 Correct 1002 ms 141712 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 1024 KB Output is correct
2 Correct 8 ms 1024 KB Output is correct
3 Correct 7 ms 896 KB Output is correct
4 Correct 6 ms 768 KB Output is correct
5 Correct 3375 ms 303136 KB Output is correct
6 Correct 2772 ms 241668 KB Output is correct
7 Correct 2068 ms 199572 KB Output is correct
8 Correct 976 ms 144776 KB Output is correct
9 Correct 157 ms 16788 KB Output is correct
10 Correct 171 ms 17792 KB Output is correct
11 Correct 196 ms 17944 KB Output is correct
12 Correct 1435 ms 162092 KB Output is correct
13 Correct 975 ms 144408 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 768 KB Output is correct
2 Correct 7 ms 768 KB Output is correct
3 Correct 9 ms 896 KB Output is correct
4 Correct 10 ms 1024 KB Output is correct
5 Correct 1344 ms 147908 KB Output is correct
6 Correct 1781 ms 179472 KB Output is correct
7 Correct 2197 ms 209612 KB Output is correct
8 Correct 2789 ms 233800 KB Output is correct
9 Correct 562 ms 55476 KB Output is correct
10 Correct 497 ms 53064 KB Output is correct
11 Correct 559 ms 55452 KB Output is correct
12 Correct 490 ms 52672 KB Output is correct
13 Correct 564 ms 56132 KB Output is correct
14 Correct 476 ms 52752 KB Output is correct
15 Correct 1410 ms 156044 KB Output is correct
16 Correct 995 ms 138736 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 5 ms 384 KB Output is correct
6 Correct 5 ms 384 KB Output is correct
7 Correct 5 ms 384 KB Output is correct
8 Correct 382 ms 36020 KB Output is correct
9 Correct 450 ms 42824 KB Output is correct
10 Correct 817 ms 63236 KB Output is correct
11 Correct 2095 ms 196320 KB Output is correct
12 Correct 2121 ms 193084 KB Output is correct
13 Correct 2237 ms 209592 KB Output is correct
14 Correct 1453 ms 159420 KB Output is correct
15 Correct 1002 ms 141712 KB Output is correct
16 Correct 12 ms 1024 KB Output is correct
17 Correct 8 ms 1024 KB Output is correct
18 Correct 7 ms 896 KB Output is correct
19 Correct 6 ms 768 KB Output is correct
20 Correct 3375 ms 303136 KB Output is correct
21 Correct 2772 ms 241668 KB Output is correct
22 Correct 2068 ms 199572 KB Output is correct
23 Correct 976 ms 144776 KB Output is correct
24 Correct 157 ms 16788 KB Output is correct
25 Correct 171 ms 17792 KB Output is correct
26 Correct 196 ms 17944 KB Output is correct
27 Correct 1435 ms 162092 KB Output is correct
28 Correct 975 ms 144408 KB Output is correct
29 Correct 7 ms 768 KB Output is correct
30 Correct 7 ms 768 KB Output is correct
31 Correct 9 ms 896 KB Output is correct
32 Correct 10 ms 1024 KB Output is correct
33 Correct 1344 ms 147908 KB Output is correct
34 Correct 1781 ms 179472 KB Output is correct
35 Correct 2197 ms 209612 KB Output is correct
36 Correct 2789 ms 233800 KB Output is correct
37 Correct 562 ms 55476 KB Output is correct
38 Correct 497 ms 53064 KB Output is correct
39 Correct 559 ms 55452 KB Output is correct
40 Correct 490 ms 52672 KB Output is correct
41 Correct 564 ms 56132 KB Output is correct
42 Correct 476 ms 52752 KB Output is correct
43 Correct 1410 ms 156044 KB Output is correct
44 Correct 995 ms 138736 KB Output is correct
45 Correct 162 ms 16884 KB Output is correct
46 Correct 262 ms 27460 KB Output is correct
47 Correct 1170 ms 97148 KB Output is correct
48 Correct 2133 ms 199292 KB Output is correct
49 Correct 188 ms 19864 KB Output is correct
50 Correct 186 ms 19724 KB Output is correct
51 Correct 194 ms 19864 KB Output is correct
52 Correct 210 ms 24408 KB Output is correct
53 Correct 223 ms 24540 KB Output is correct
54 Correct 218 ms 24528 KB Output is correct