Submission #1106213

# Submission time Handle Problem Language Result Execution time Memory
1106213 2024-10-29T14:24:29 Z zNatsumi Street Lamps (APIO19_street_lamps) C++17
20 / 100
4423 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++) if(node[i].size()){
      sort(node[i].begin(), node[i].end());
      node[i].erase(unique(node[i].begin(), node[i].end()), node[i].end());
      bit[i].assign(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;
    }
    if(tl != tr) 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];
    if(tl != tr) 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: " << 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;
      |              ~~~^~~~
street_lamps.cpp: In function 'int32_t main()':
street_lamps.cpp:188:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  188 |     freopen(task ".inp", "r", stdin);
      |     ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
street_lamps.cpp:189:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  189 |     freopen(task ".out", "w", stdout);
      |     ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~
# 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 29432 KB Output is correct
4 Correct 5 ms 29380 KB Output is correct
5 Correct 5 ms 29264 KB Output is correct
6 Correct 5 ms 29264 KB Output is correct
7 Correct 5 ms 29436 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 482 ms 82956 KB Output is correct
2 Correct 786 ms 111472 KB Output is correct
3 Correct 1607 ms 210452 KB Output is correct
4 Correct 4136 ms 429008 KB Output is correct
5 Runtime error 3371 ms 524288 KB Execution killed with signal 9
6 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 10 ms 30032 KB Output is correct
2 Correct 10 ms 30032 KB Output is correct
3 Correct 11 ms 29776 KB Output is correct
4 Correct 6 ms 29544 KB Output is correct
5 Runtime error 1107 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 11 ms 29776 KB Output is correct
4 Correct 11 ms 30032 KB Output is correct
5 Correct 1964 ms 226572 KB Output is correct
6 Correct 3140 ms 363948 KB Output is correct
7 Correct 4423 ms 488884 KB Output is correct
8 Runtime error 1087 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 29432 KB Output is correct
4 Correct 5 ms 29380 KB Output is correct
5 Correct 5 ms 29264 KB Output is correct
6 Correct 5 ms 29264 KB Output is correct
7 Correct 5 ms 29436 KB Output is correct
8 Correct 482 ms 82956 KB Output is correct
9 Correct 786 ms 111472 KB Output is correct
10 Correct 1607 ms 210452 KB Output is correct
11 Correct 4136 ms 429008 KB Output is correct
12 Runtime error 3371 ms 524288 KB Execution killed with signal 9
13 Halted 0 ms 0 KB -