Submission #1106190

# Submission time Handle Problem Language Result Execution time Memory
1106190 2024-10-29T13:36:25 Z zNatsumi Street Lamps (APIO19_street_lamps) C++17
20 / 100
4393 ms 524288 KB
#include <bits/stdc++.h>

using namespace std;

typedef tuple<string, int, int> Que;

const int N = 3e5 + 5,
          INF = 1e9;

int n, q;
string s;
Que query[N];

struct BIT2D{
  vector<int> node[N], bit[N];

  void fake_upd(int x, int y){
    for(int i = x; i <= n; i += i & -i)
      for(int j = y; j <= n; j += j & -j)
        node[i].push_back(j);
  }
  void fake_update(int x, int y, int u, int v){
    fake_upd(x, y);
    fake_upd(x, v + 1);
    fake_upd(u + 1, y);
    fake_upd(u + 1, v + 1);
  }
  void fake_get(int x, int y){
    for(int i = x; i > 0; i -= i & -i)
      for(int j = y; j > 0; j -= j & -j)
        node[i].push_back(j);
  }

  void build(){
    for(int i = 1; i <= n; i++){
      sort(node[i].begin(), node[i].end());
      node[i].resize(unique(node[i].begin(), node[i].end()) - node[i].begin());
      bit[i].resize(node[i].size() + 1, 0);
    }
  }

  void upd(int x, int y, int val){
    for(int i = x; i <= n; i += i & -i)
      for(int j = lower_bound(node[i].begin(), node[i].end(), y) - node[i].begin() + 1; j <= node[i].size(); j += j & -j)
        bit[i][j - 1] += val;
  }

  void update(int x, int y, int u, int v, int val){
    upd(x, y, val);
    upd(x, v + 1, -val);
    upd(u + 1, y, -val);
    upd(u + 1, v + 1, val);
  }
  int get(int x, int y){
    int res = 0;
    for(int i = x; i > 0; i -= i & -i)
      for(int j = lower_bound(node[i].begin(), node[i].end(), y) - node[i].begin() + 1; j > 0; j -= j & -j)
        res += bit[i][j - 1];
    return res;
  }
} bit;

struct SegTree{
  int st[N << 2], lz[N << 2];

  void build(int tl, int tr, int i){
    lz[i] = -1;
    if(tl == tr){
      st[i] = (s[tl] == '1' ? 0 : INF);
      return;
    }
    int tm = tl + tr >> 1;
    build(tl, tm, i<<1);
    build(tm + 1, tr, i<<1|1);
    st[i] = max(st[i<<1], st[i<<1|1]);
  }
  void push(int i){
    if(lz[i] == -1) return;
    st[i<<1] = st[i<<1|1] = lz[i<<1] = lz[i<<1|1] = lz[i];
    lz[i] = -1;
  }

  void update(int l, int r, int val, int tl, int tr, int i){
    if(r < tl || tr < l || l > r) return;
    if(l <= tl && tr <= r){
      st[i] = val;
      lz[i] = val;
      return;
    }
    push(i);
    int tm = tl + tr >> 1;
    update(l, r, val, tl, tm, i<<1);
    update(l, r, val, tm + 1, tr, i<<1|1);
    st[i] = max(st[i<<1], st[i<<1|1]);
  }

  int get(int l, int r, int tl, int tr, int i){
    if(r < tl || tr < l || l > r) return 0;
    if(l <= tl && tr <= r) return st[i];
    push(i);
    int tm = tl + tr >> 1;
    return max(get(l, r, tl, tm, i<<1), get(l, r, tm + 1, tr, i<<1|1));
  }
} it;

void init(){
  set<int> pos0;
  for(int i = 1; i <= n; i++) if(s[i] == '0') pos0.insert(i);
  pos0.insert(0); pos0.insert(n + 1);

  string tmp = s;

  for(int t = 1; t <= q; t++){
    auto [ty, x, y] = query[t];

    if(ty == "toggle"){
      if(s[x] == '0'){
        auto i = pos0.find(x);
        int l = *prev(i) + 1, r = *next(i) - 1;

        s[x] = '1';

        if(l <= *i - 1) bit.fake_update(l, l, *i - 1, *i - 1);
        if(*i + 1 <= r) bit.fake_update(*i + 1, *i + 1, r, r);

        pos0.erase(x);
      }else{
        s[x] = '0';
        pos0.insert(x);

        auto i = pos0.find(x);
        int l = *prev(i) + 1, r = *next(i) - 1;

        bit.fake_update(l, l, r, r);
      }
    }else{
      bit.fake_get(x, y);
    }
  }
  bit.build();
  s = tmp;
}

void solve(){
  set<int> pos0;
  for(int i = 1; i <= n; i++) if(s[i] == '0') pos0.insert(i);
  pos0.insert(0); pos0.insert(n + 1);

  it.build(1, n, 1);

  for(int t = 1; t <= q; t++){
    auto [ty, x, y] = query[t];

    if(ty == "toggle"){
      if(s[x] == '0'){
        auto i = pos0.find(x);
        int l = *prev(i) + 1, r = *next(i) - 1;

        s[x] = '1';

        if(l <= *i - 1) bit.update(l, l, *i - 1, *i - 1, t - it.get(l, *i - 1, 1, n, 1));
        if(*i + 1 <= r) bit.update(*i + 1, *i + 1, r, r, t - it.get(*i + 1, r, 1, n, 1));
        it.update(l, r, t, 1, n, 1);

        pos0.erase(x);
      }else{
        s[x] = '0';
        pos0.insert(x);

        auto i = pos0.find(x);
        int l = *prev(i) + 1, r = *next(i) - 1;

        bit.update(l, l, r, r, t - it.get(l, r, 1, n, 1));
        it.update(l, r, t, 1, n, 1);
        it.update(*i, *i, INF, 1, n, 1);
      }
    }else{
      auto tmp = t - it.get(x, y, 1, n, 1);
      cout << bit.get(x, y) + (tmp >= 0 ? tmp : 0) << "\n";
    }
  }
}

int32_t main(){
  cin.tie(0)->sync_with_stdio(0);
//  #define task "test"
//  if(fopen(task ".inp", "r")){
//    freopen(task ".inp", "r", stdin);
//    freopen(task ".out", "w", stdout);
//  }
  cin >> n >> q >> s;
  s = " " + s;

  for(int i = 1; i <= q; i++){
    string ty; cin >> ty;
    if(ty == "toggle"){
      int x; cin >> x;
      query[i] = Que(ty, x, -1);
    }else{
      int x, y; cin >> x >> y;
      query[i] = Que(ty, x, y - 1);
    }
  }
  init();
  solve();
//  cerr << "TIME:" << 1.0 * clock() / CLOCKS_PER_SEC << "s\n";

  return 0;
}

Compilation message

street_lamps.cpp: In member function 'void BIT2D::upd(int, int, int)':
street_lamps.cpp:44:91: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   44 |       for(int j = lower_bound(node[i].begin(), node[i].end(), y) - node[i].begin() + 1; j <= node[i].size(); j += j & -j)
      |                                                                                         ~~^~~~~~~~~~~~~~~~~
street_lamps.cpp: In member function 'void SegTree::build(int, int, int)':
street_lamps.cpp:72:17: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   72 |     int tm = tl + tr >> 1;
      |              ~~~^~~~
street_lamps.cpp: In member function 'void SegTree::update(int, int, int, int, int, int)':
street_lamps.cpp:91:17: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   91 |     int tm = tl + tr >> 1;
      |              ~~~^~~~
street_lamps.cpp: In member function 'int SegTree::get(int, int, int, int, int)':
street_lamps.cpp:101:17: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
  101 |     int tm = tl + tr >> 1;
      |              ~~~^~~~
# Verdict Execution time Memory Grader output
1 Correct 5 ms 29264 KB Output is correct
2 Correct 5 ms 29264 KB Output is correct
3 Correct 5 ms 29264 KB Output is correct
4 Correct 5 ms 29276 KB Output is correct
5 Correct 5 ms 29332 KB Output is correct
6 Correct 5 ms 29264 KB Output is correct
7 Correct 5 ms 29264 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 485 ms 85780 KB Output is correct
2 Correct 796 ms 114688 KB Output is correct
3 Correct 1647 ms 214288 KB Output is correct
4 Correct 4292 ms 434980 KB Output is correct
5 Runtime error 3397 ms 524288 KB Execution killed with signal 9
6 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 11 ms 30032 KB Output is correct
2 Correct 11 ms 30200 KB Output is correct
3 Correct 9 ms 29988 KB Output is correct
4 Correct 7 ms 29520 KB Output is correct
5 Runtime error 1189 ms 524288 KB Execution killed with signal 9
6 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 7 ms 29520 KB Output is correct
2 Correct 8 ms 29776 KB Output is correct
3 Correct 10 ms 29776 KB Output is correct
4 Correct 12 ms 30044 KB Output is correct
5 Correct 1930 ms 234184 KB Output is correct
6 Correct 3325 ms 370804 KB Output is correct
7 Correct 4393 ms 499048 KB Output is correct
8 Runtime error 1113 ms 524288 KB Execution killed with signal 9
9 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 5 ms 29264 KB Output is correct
2 Correct 5 ms 29264 KB Output is correct
3 Correct 5 ms 29264 KB Output is correct
4 Correct 5 ms 29276 KB Output is correct
5 Correct 5 ms 29332 KB Output is correct
6 Correct 5 ms 29264 KB Output is correct
7 Correct 5 ms 29264 KB Output is correct
8 Correct 485 ms 85780 KB Output is correct
9 Correct 796 ms 114688 KB Output is correct
10 Correct 1647 ms 214288 KB Output is correct
11 Correct 4292 ms 434980 KB Output is correct
12 Runtime error 3397 ms 524288 KB Execution killed with signal 9
13 Halted 0 ms 0 KB -