oj.uz

Submission #892261

# Submission time Handle Problem Language Result Execution time Memory
892261 2023-12-25T06:13:52 Z tch1cherin Street Lamps (APIO19_street_lamps) C++17
100 / 100
 1835 ms 109496 KB 
#include <bits/stdc++.h>
using namespace std;

struct fenwick {
  int size;
  vector<int> tree;
  int sum;
  vector<int> updates;

  fenwick() {}

  fenwick(int n) : size(n), tree(n + 1), sum(0) {}

  void update(int i, int v) {
    sum += v;
    for (i++; i <= size; i += i & -i) {
      updates.push_back(i);
      tree[i] += v;
    }
  }

  int prefix_query(int r) {
    int ans = 0;
    for (; r > 0; r -= r & -r) {
      ans += tree[r];
    }
    return ans;
  }

  int suffix_query(int l) {
    return sum - prefix_query(l);
  }

  void rollback() {
    for (int i : updates) {
      tree[i] = 0;
    }
    sum = 0;
    updates = vector<int>();
  }
};

struct query {
  int x, y, tx, ty;
  int pos;
};

struct modification {
  int x, y, t;
};

fenwick F, Fc;

void CDQ(vector<query>& queries, vector<int>& answers, int L, int R) {
  if (R - L == 1) {
    return;
  }
  int M = (L + R) / 2;
  CDQ(queries, answers, L, M);
  CDQ(queries, answers, M, R);
  {
    vector<array<int, 4>> events;
    for (int i = L; i < M; i++) {
      if (queries[i].pos == -1) {
        events.push_back({queries[i].y, queries[i].ty, 0, queries[i].ty - queries[i].tx});
      }
    }
    for (int i = M; i < R; i++) {
      if (queries[i].pos != -1) {
        events.push_back({queries[i].y, queries[i].ty, 1, queries[i].pos});
      }
    }
    sort(events.begin(), events.end(), [](array<int, 4> a, array<int, 4> b) {
      return a[0] != b[0] ? a[0] > b[0] : (a[1] != b[1] ? a[1] < b[1] : a[2] < b[2]);
    });
    for (auto [y, ty, type, value] : events) {
      if (type == 0) {
        F.update(ty, value);
      } else {
        answers[value] += F.prefix_query(ty + 1); 
      }
    }
    F.rollback();
  }
  {
    vector<array<int, 4>> events;
    for (int i = L; i < M; i++) {
      if (queries[i].pos == -1) {
        events.push_back({queries[i].tx, 0, queries[i].y, -queries[i].tx});
        events.push_back({queries[i].ty, -1, queries[i].y, queries[i].tx});
      }
    }
    for (int i = M; i < R; i++) {
      if (queries[i].pos != -1) {
        events.push_back({queries[i].tx, 1, queries[i].y, queries[i].pos});
      }
    }
    sort(events.begin(), events.end());
    for (auto [x, type, y, value] : events) {
      if (type <= 0) {
        F.update(y, value);
        Fc.update(y, type == 0 ? +1 : -1);
      } else {
        answers[value] += 1LL * Fc.suffix_query(y) * x + F.suffix_query(y); 
      }
    }
    F.rollback();
    Fc.rollback();
  }
}

int main() {
  cin.tie(nullptr)->sync_with_stdio(false);
  int n, q;
  cin >> n >> q;
  string s;
  cin >> s;
  vector<modification> modifications;
  set<pair<int, int>> segments;
  int T = 0;
  for (int i = 0; i < n; i++) {
    if (s[i] == '0') {
      continue;
    }
    int j = i + 1;
    while (j < n && s[j] == '1') {
      j++;
    }
    modifications.push_back({i, j - 1, T});
    segments.insert({i, j - 1});
    i = j - 1;
  }
  vector<query> queries;
  int cnt_q = 0;
  while (q--) {
    T++;
    string type;
    cin >> type;
    if (type == "toggle") {
      int pos;
      cin >> pos;
      pos--;
      if (s[pos] == '0') {
        s[pos] = '1';
        if (segments.empty()) {
          modifications.push_back({pos, pos, T});
          segments.insert({pos, pos});
        } else {
          auto it = segments.lower_bound({pos, -1});
          bool left_merge = it != segments.begin() && prev(it)->second == pos - 1;
          bool right_merge = it != segments.end() && it->first == pos + 1;
          if (left_merge && right_merge) {
            int L = prev(it)->first, R = it->second;
            modifications.push_back({prev(it)->first, prev(it)->second, T});
            segments.erase({prev(it)->first, prev(it)->second});
            modifications.push_back({it->first, it->second, T});
            segments.erase({it->first, it->second});
            modifications.push_back({L, R, T});
            segments.insert({L, R});
          } else if (left_merge) {
            int L = prev(it)->first, R = pos;
            modifications.push_back({prev(it)->first, prev(it)->second, T});
            segments.erase({prev(it)->first, prev(it)->second});
            modifications.push_back({L, R, T});
            segments.insert({L, R});
          } else if (right_merge) {
            int L = pos, R = it->second;
            modifications.push_back({it->first, it->second, T});
            segments.erase({it->first, it->second});
            modifications.push_back({L, R, T});
            segments.insert({L, R});
          } else {
            modifications.push_back({pos, pos, T});
            segments.insert({pos, pos});
          }
        }
      } else {
        s[pos] = '0';
        auto it = prev(segments.lower_bound({pos, INT_MAX}));
        int L = it->first, R = it->second;
        modifications.push_back({L, R, T});
        segments.erase({L, R});
        if (L <= pos - 1) {
          modifications.push_back({L, pos - 1, T});
          segments.insert({L, pos - 1});
        }
        if (pos + 1 <= R) {
          modifications.push_back({pos + 1, R, T});
          segments.insert({pos + 1, R});
        }
      }
    } else {
      int a, b;
      cin >> a >> b;
      a--, b -= 2;
      queries.push_back({a, b, T, T, cnt_q++});
    }
  }
  sort(modifications.begin(), modifications.end(), [](modification a, modification b) {
    return a.x != b.x ? a.x < b.x : (a.y != b.y ? a.y < b.y : a.t < b.t);
  });
  int m = (int)modifications.size();
  T++;
  for (int i = 0; i < m; i++) {
    vector<int> times;
    int j = i;
    while (j < m && modifications[i].x == modifications[j].x && modifications[i].y == modifications[j].y) {
      times.push_back(modifications[j++].t);
    }
    times.push_back(T);
    for (int k = 0; k < (int)times.size() - 1; k += 2) {
      queries.push_back({modifications[i].x, modifications[i].y, times[k], times[k + 1], -1});
    }
    i = j - 1;
  }
  F = Fc = fenwick(max(n, T) + 1);
  vector<int> answers(cnt_q);
  sort(queries.begin(), queries.end(), [](query a, query b) {
    return a.x != b.x ? a.x < b.x : (a.y != b.y ? a.y > b.y : (a.tx != b.tx ? a.tx < b.tx : a.ty < b.ty));
  });
  CDQ(queries, answers, 0, (int)queries.size());
  for (int value : answers) {
    cout << value << "\n";
  }
}

Subtask #1
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 448 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 344 KB Output is correct
7 Correct 1 ms 344 KB Output is correct

Subtask #2
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 985 ms 58936 KB Output is correct
2 Correct 1012 ms 63152 KB Output is correct
3 Correct 1030 ms 52508 KB Output is correct
4 Correct 1358 ms 82188 KB Output is correct
5 Correct 1311 ms 54640 KB Output is correct
6 Correct 1471 ms 78496 KB Output is correct
7 Correct 493 ms 26168 KB Output is correct
8 Correct 486 ms 26204 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 604 KB Output is correct
2 Correct 3 ms 604 KB Output is correct
3 Correct 2 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1540 ms 74988 KB Output is correct
6 Correct 1587 ms 76512 KB Output is correct
7 Correct 1327 ms 43964 KB Output is correct
8 Correct 572 ms 20116 KB Output is correct
9 Correct 330 ms 12704 KB Output is correct
10 Correct 331 ms 17548 KB Output is correct
11 Correct 354 ms 17900 KB Output is correct
12 Correct 555 ms 19392 KB Output is correct
13 Correct 554 ms 20492 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 348 KB Output is correct
2 Correct 2 ms 348 KB Output is correct
3 Correct 3 ms 604 KB Output is correct
4 Correct 3 ms 604 KB Output is correct
5 Correct 853 ms 38784 KB Output is correct
6 Correct 1145 ms 53484 KB Output is correct
7 Correct 1440 ms 73436 KB Output is correct
8 Correct 1835 ms 83256 KB Output is correct
9 Correct 1221 ms 66088 KB Output is correct
10 Correct 1506 ms 109060 KB Output is correct
11 Correct 1225 ms 65220 KB Output is correct
12 Correct 1498 ms 109392 KB Output is correct
13 Correct 1225 ms 66688 KB Output is correct
14 Correct 1490 ms 109496 KB Output is correct
15 Correct 551 ms 26180 KB Output is correct
16 Correct 550 ms 27248 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 448 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 344 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 985 ms 58936 KB Output is correct
9 Correct 1012 ms 63152 KB Output is correct
10 Correct 1030 ms 52508 KB Output is correct
11 Correct 1358 ms 82188 KB Output is correct
12 Correct 1311 ms 54640 KB Output is correct
13 Correct 1471 ms 78496 KB Output is correct
14 Correct 493 ms 26168 KB Output is correct
15 Correct 486 ms 26204 KB Output is correct
16 Correct 3 ms 604 KB Output is correct
17 Correct 3 ms 604 KB Output is correct
18 Correct 2 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 1540 ms 74988 KB Output is correct
21 Correct 1587 ms 76512 KB Output is correct
22 Correct 1327 ms 43964 KB Output is correct
23 Correct 572 ms 20116 KB Output is correct
24 Correct 330 ms 12704 KB Output is correct
25 Correct 331 ms 17548 KB Output is correct
26 Correct 354 ms 17900 KB Output is correct
27 Correct 555 ms 19392 KB Output is correct
28 Correct 554 ms 20492 KB Output is correct
29 Correct 2 ms 348 KB Output is correct
30 Correct 2 ms 348 KB Output is correct
31 Correct 3 ms 604 KB Output is correct
32 Correct 3 ms 604 KB Output is correct
33 Correct 853 ms 38784 KB Output is correct
34 Correct 1145 ms 53484 KB Output is correct
35 Correct 1440 ms 73436 KB Output is correct
36 Correct 1835 ms 83256 KB Output is correct
37 Correct 1221 ms 66088 KB Output is correct
38 Correct 1506 ms 109060 KB Output is correct
39 Correct 1225 ms 65220 KB Output is correct
40 Correct 1498 ms 109392 KB Output is correct
41 Correct 1225 ms 66688 KB Output is correct
42 Correct 1490 ms 109496 KB Output is correct
43 Correct 551 ms 26180 KB Output is correct
44 Correct 550 ms 27248 KB Output is correct
45 Correct 577 ms 32880 KB Output is correct
46 Correct 595 ms 33724 KB Output is correct
47 Correct 765 ms 30136 KB Output is correct
48 Correct 1349 ms 61196 KB Output is correct
49 Correct 405 ms 22444 KB Output is correct
50 Correct 393 ms 22336 KB Output is correct
51 Correct 414 ms 23004 KB Output is correct
52 Correct 408 ms 21368 KB Output is correct
53 Correct 405 ms 23216 KB Output is correct
54 Correct 403 ms 23076 KB Output is correct