oj.uz

Submission #1057473

# Submission time Handle Problem Language Result Execution time Memory
1057473 2024-08-13T20:22:27 Z erray Radio Towers (IOI22_towers) C++17
17 / 100
 720 ms 121676 KB 
#include "towers.h"
#include <bits/stdc++.h>
 
using namespace std;
 
#ifdef DEBUG 
  #include "debug.h"
#else 
  #define debug(...) void(37)
#endif
 
constexpr int max_D = int(1e9) + 1;
 
template<typename T, typename F = function<T(const T&, const T&)>>
struct SparseTable {
  vector<vector<T>> table;
  int n;
  F op;
  SparseTable () {} 
  SparseTable(vector<T> a, F _op) : op(_op) {
    n = int(a.size());
    int lg = __lg(n) + 1;
    table.resize(lg + 1);
    table[0] = a;
    for (int l = 1; l < lg; ++l) {
      int s = n - (1 << l) + 1;
      table[l].resize(s);
      for (int i = 0; i < s; ++i) {
        table[l][i] = op(table[l - 1][i], table[l - 1][i + (1 << (l - 1))]);
      } 
    }
  }
  T get(int l, int r) {
    int lg = __lg(r - l + 1);
    return op(table[lg][l], table[lg][r - (1 << lg) + 1]);
  }
};
 
constexpr int MAX_NODES = int(2e5) * 20 * 8;
int max_N = int(1e5);
namespace PST {
  int t = 0;
  struct info {
    int first_id, last_id;
    int ct;
    info() { } 
    void init() {
      first_id = -1, last_id = -1;
      ct = 0;
    }
  };
  info I() {
    static info res;
    res.init();
    return res;
  }
  info unite(info l, info r) {
    info res;
    res.first_id = (l.first_id == -1 ? r.first_id : l.first_id);
    res.last_id = (r.last_id == -1 ? l.last_id : r.last_id);
    res.ct = l.ct + r.ct;
    return res;
  }
  
  struct node {
    int L, R;
    info i;
    void init() { 
      L = R = -1;
      i.init();
    }
    void dupe(const node& x) {
      L = x.L, R = x.R;
      i = x.i;
    }
  };
  node tree[MAX_NODES];
  int new_node() {
    tree[t].init();
    t++;
    return t - 1;
  }
  void pull(int v) {
    tree[v].i = unite(tree[v].L == -1 ? I() : tree[tree[v].L].i, tree[v].R == -1 ? I() : tree[tree[v].R].i);
  }
  int modify(int v, int l, int r, int p, int x) {
    int new_v = new_node();
    if (v != -1) {
      tree[new_v].dupe(tree[v]);
    } else {
      tree[new_v].init();
    }
    v = new_v;
    if (l == r) {
      tree[v].i.last_id = tree[v].i.first_id = x;
      tree[v].i.ct = (x != -1);
      return v;
    }
    int mid = (l + r) >> 1;
    if (p <= mid) {
      tree[v].L = modify(tree[v].L, l, mid, p, x);
    } else {
      tree[v].R = modify(tree[v].R, mid + 1, r, p, x);
    }
    pull(v);
    //debug("pull", v, l, r, tree[v].i.ct, tree[v].i.first_id, tree[v].i.last_id);
 
    return v;
  }
  info get(int v, int l, int r, int ll, int rr) {
    //debug(v, l, r, tree[v].i.ct, tree[v].i.first_id, tree[v].i.last_id);
    if (l >= ll && rr >= r) {
      return tree[v].i;
    }
    int mid = (l + r) >> 1;
    info res;
    res.init();
    if (ll <= mid && tree[v].L != -1) {
      res = unite(res, get(tree[v].L, l, mid, ll, rr));
    } 
    if (mid < rr && tree[v].R != -1) {
      res = unite(res, get(tree[v].R, mid + 1, r, ll, rr));
    }
    return res;
  }
  int modify(int tree_id, int p, int v) {
    return modify(tree_id, 0, max_N, p, v);
  }
  array<int, 3> get_ids(int tree_id, int l, int r) {
    auto i = get(tree_id, 0, max_N, l, r);
    return {i.first_id, i.last_id, i.ct};
  }
};
 
int N, LG, root;
vector<int> H, L, R, tour, tin, tout;
SparseTable<int> min_H, max_H, lca_st;
int get_lca(int v, int u) {
  debug(v, u, tin[v], tout[v], tin[u], tout[u]);
  if (tin[v] > tin[u]) {
    swap(v, u);
  }
  if (tout[v] >= tout[u]) {
    return v;
  }
  return lca_st.get(tout[v], tin[u]);
}
int S;
vector<int> times, segtrees;
int get_time(int x) {
  assert(times[0] <= x);
  return int(lower_bound(times.begin(), times.end(), x + 1) - times.begin()) - 1;
}
 
void init(int _N, std::vector<int> _H) {
  debug("hello?");
  N = _N; H = _H;
  LG = __lg(N) + 1;
  vector<int> foo(N); iota(foo.begin(), foo.end(), 0);
  min_H = SparseTable<int>(foo, [&](int x, int y) {
    return (H[x] < H[y] ? x : y);
  });
  max_H = SparseTable<int>(foo, [&](int x, int y) {
    return (H[x] > H[y] ? x : y);
  });
  vector<vector<int>> g(N);
  L.resize(N), R.resize(N), tin.resize(N), tout.resize(N);
  vector<int> par(N, -1);
  auto mn = H;
  auto Dfs = [&](int l, int r, auto&& Dfs) -> int {
    int v = max_H.get(l, r);
    tin[v] = int(tour.size());
    tour.push_back(v);
    L[v] = l, R[v] = r;
    if (l != v) {
      g[v].push_back(Dfs(l, v - 1, Dfs));
    }
    if (r != v) {
      g[v].push_back(Dfs(v + 1, r, Dfs));
    }
    for (auto u : g[v]) {
      mn[v] = min(mn[v], mn[u]);
      par[u] = v;
      tour.push_back(v);
    }
    tout[v] = int(tour.size()) - 1;
    return v;
  };
  root = Dfs(0, N - 1, Dfs);
  debug(L, R);
  lca_st = SparseTable<int>(tour, [&](int x, int y) {
    return H[x] > H[y] ? x : y;
  });
  vector<int> act_t(N), dis_t(N);
  for (int i = 0; i < N; ++i) {
    act_t[i] = H[i] - mn[i] + 1;
  }
  for (int i = 0; i < N; ++i) {
    int p = par[i];
    dis_t[i] = (p == -1 ? max_D : H[p] - mn[i] + 1); 
  }
  debug(act_t, dis_t);
  // each segment is active in the range [act_t_i, dis_t_i) 
  for (int i = 0; i < N; ++i) {
    times.push_back(act_t[i]);
    times.push_back(dis_t[i]);
  }
  sort(times.begin(), times.end());
  times.erase(unique(times.begin(), times.end()), times.end());
  S = int(times.size());
  vector<vector<int>> updates(S);
  for (int i = 0; i < N; ++i) {
    updates[get_time(dis_t[i])].push_back(~i);
    updates[get_time(act_t[i])].push_back(i);
  }
  int segtree = PST::new_node();
  for (int i = 0; i < S; ++i) {
    for (auto x : updates[i]) {
      int val, ind;
      if (x < 0) {
        ind = ~x;
        val = -1;
      } else {
        ind = x;
        val = x;
      }
      debug(ind, val, L[ind], R[ind]);
      segtree = PST::modify(segtree, ind, val);
    }
    //debug(i, segtree);
    segtrees.push_back(segtree);
  }
}
 
int max_towers(int QL, int QR, int D) {
  int t = get_time(D);
  auto[l, r, ct] = PST::get_ids(segtrees[t], QL, QR);
  int prev_id = (QL > 0 ? PST::get_ids(segtrees[t], 0, QL - 1)[1] : -1);
  int next_id = (QR < N - 1 ? PST::get_ids(segtrees[t], QR + 1, N - 1)[0] : -1);
  debug(l, r, prev_id, next_id);
  if (l == -1) {
    if (prev_id == -1 || next_id == -1) {
      return 1;
    }
    int lca = get_lca(prev_id, next_id);
    assert(l <= lca && r <= lca);
    if (QL < lca && lca < QR && H[lca] - max(H[min_H.get(QL, lca)], H[min_H.get(lca, QR)]) >= D) {
      return 2;
    } else {
      return 1;
    }
  } else {
    if (prev_id != -1) {
      int lca = get_lca(prev_id, l);
      debug(lca);
      if (QL < lca && H[lca] - H[min_H.get(QL, lca)] >= D) {
        ct++; 
      }
    }
    if (next_id != -1) {
      int lca = get_lca(r, next_id);
      if (lca < QR && H[lca] - H[min_H.get(lca, QR)] >= D) {
        ct++;
      }
    }
    return ct;
  }
}

Subtask #1
0 / 4.0

# Verdict Execution time Memory Grader output
1 Incorrect 377 ms 72588 KB 31st lines differ - on the 1st token, expected: '1', found: '2'
2 Halted 0 ms 0 KB -

Subtask #2
0 / 11.0

# Verdict Execution time Memory Grader output
1 Incorrect 1 ms 2648 KB 1st lines differ - on the 1st token, expected: '13', found: '15'
2 Halted 0 ms 0 KB -

Subtask #3
0 / 12.0

# Verdict Execution time Memory Grader output
1 Incorrect 1 ms 2648 KB 1st lines differ - on the 1st token, expected: '13', found: '15'
2 Halted 0 ms 0 KB -

Subtask #4
0 / 14.0

# Verdict Execution time Memory Grader output
1 Incorrect 617 ms 112576 KB 1st lines differ - on the 1st token, expected: '11903', found: '11902'
2 Halted 0 ms 0 KB -

Subtask #5
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 184 ms 26260 KB Output is correct
2 Correct 697 ms 112820 KB Output is correct
3 Correct 694 ms 112820 KB Output is correct
4 Correct 650 ms 112564 KB Output is correct
5 Correct 720 ms 112400 KB Output is correct
6 Correct 672 ms 112540 KB Output is correct
7 Correct 695 ms 112564 KB Output is correct
8 Correct 629 ms 121524 KB Output is correct
9 Correct 678 ms 121524 KB Output is correct
10 Correct 645 ms 118452 KB Output is correct
11 Correct 673 ms 119220 KB Output is correct
12 Correct 121 ms 112820 KB Output is correct
13 Correct 119 ms 112564 KB Output is correct
14 Correct 112 ms 112308 KB Output is correct
15 Correct 93 ms 121676 KB Output is correct
16 Correct 95 ms 121000 KB Output is correct
17 Correct 113 ms 109276 KB Output is correct
18 Correct 130 ms 112820 KB Output is correct
19 Correct 135 ms 112820 KB Output is correct
20 Correct 116 ms 112544 KB Output is correct
21 Correct 115 ms 112308 KB Output is correct
22 Correct 119 ms 112564 KB Output is correct
23 Correct 134 ms 112308 KB Output is correct
24 Correct 84 ms 121524 KB Output is correct
25 Correct 87 ms 121516 KB Output is correct
26 Correct 97 ms 118456 KB Output is correct
27 Correct 102 ms 121104 KB Output is correct
28 Correct 2 ms 3160 KB Output is correct
29 Correct 2 ms 3160 KB Output is correct
30 Correct 2 ms 3160 KB Output is correct
31 Correct 2 ms 3460 KB Output is correct
32 Correct 2 ms 3416 KB Output is correct
33 Correct 2 ms 2904 KB Output is correct
34 Correct 2 ms 3160 KB Output is correct
35 Correct 2 ms 3160 KB Output is correct
36 Correct 2 ms 3160 KB Output is correct
37 Correct 2 ms 3160 KB Output is correct
38 Correct 2 ms 3160 KB Output is correct
39 Correct 2 ms 3160 KB Output is correct
40 Correct 2 ms 3416 KB Output is correct
41 Correct 2 ms 3416 KB Output is correct
42 Correct 2 ms 3416 KB Output is correct
43 Correct 2 ms 3416 KB Output is correct

Subtask #6
0 / 19.0

# Verdict Execution time Memory Grader output
1 Incorrect 1 ms 2648 KB 1st lines differ - on the 1st token, expected: '13', found: '15'
2 Halted 0 ms 0 KB -

Subtask #7
0 / 23.0

# Verdict Execution time Memory Grader output
1 Incorrect 377 ms 72588 KB 31st lines differ - on the 1st token, expected: '1', found: '2'
2 Halted 0 ms 0 KB -