oj.uz

Submission #1017033

# Submission time Handle Problem Language Result Execution time Memory
1017033 2024-07-08T18:13:35 Z cadmiumsky Radio Towers (IOI22_towers) C++17
23 / 100
 4000 ms 9680 KB 
#include "towers.h"

#include <vector>
#include <bits/stdc++.h>
#define all(x) (x).begin(),(x).end()
using namespace std;

using ll = long long;
using ld = long double;

#define int ll
#define sz(x) ((int)(x).size())

using pii = pair<int,int>;
using tii = tuple<int,int,int>;

const int nmax = 1e5 + 5;
int v[nmax];


void init(signed N, std::vector<signed> H) {
   for(int i = 0; i < N; i++) v[i + 1] = H[i]; 
}

namespace DSU {
   int dsu[nmax], nxt[nmax];
   int mxR[nmax];

   void init(int l, int r) {
      for(int i = l; i <= r; i++) dsu[i] = i, nxt[i] = i + 1;
      return;
   }
   int f(int x) { return x == dsu[x]? x : dsu[x] = f(dsu[x]); }
   void unite(int x, int y) {
      x = f(x);
      y = f(y);
      if(x == y) return;
      if(x > y) swap(x, y);
      dsu[y] = x;
      mxR[x] = max(mxR[x], mxR[y]);
      nxt[x] = nxt[y];
      return;
   }
   int coef(int i, const vector<int>& p) {
      i = f(i);
      return mxR[i] - max(v[p[i]], v[p[nxt[i]]]);
   }
}



signed max_towers(signed L, signed R, signed D) {
   ++L;
   ++R;
   
   vector<int> p;
   for(int i = L; i <= R; i++) {
      if((i == L  || v[i] < v[i - 1]) && (i == R || v[i] < v[i + 1])) p.emplace_back(i);
   }
   
   DSU::init(0, sz(p));
   
   set<pii> heap;
   
   set<int> indemnizatii;
   for(int i = 0; i < sz(p) - 1; i++) {
      indemnizatii.emplace(i);
      indemnizatii.emplace(i + 1);
      int mx = v[p[i] + 1];
      for(int j = p[i] + 2; j < p[i + 1]; j++)
         mx = max(mx, v[j]);
      DSU::mxR[i] = mx;
      heap.emplace(mx - max(v[p[i]], v[p[i + 1]]), i);
   }
   
   auto get = [&](int p_) { return pii{DSU::coef(p_, p), p_}; };
      
   //cerr << sz(p) << '\n';
      
   
      
   while(!heap.empty() && heap.begin() -> first < D) {
      auto [C, i] = *heap.begin();
      heap.erase(heap.begin());
      
      //cerr << sz(heap) << ": " << C << ' ' << i << '\n';
      
      i = DSU::f(i);
      int urm = DSU::nxt[i];
      if(i != *indemnizatii.begin()) {
         int ant = DSU::f(i - 1);
         heap.erase(heap.find(get(ant)));
      }
      if(urm != *indemnizatii.rbegin()) 
         heap.erase(heap.find(get(urm)));
      
      //cerr << '\t' << v[p[i]] << ' ' << v[p[urm]] << '\n';
      
      if(v[p[i]] < v[p[urm]]) {
         DSU::unite(i, urm);
         indemnizatii.erase(urm);
         if(i != *indemnizatii.begin()) {
            int ant = DSU::f(i - 1);
            heap.insert(get(ant));
         }
         if(i != *indemnizatii.rbegin())
            heap.insert(get(i));
         
      }
      else {
         if(i != *indemnizatii.begin()) {
            int ant = DSU::f(i - 1);
            DSU::unite(ant, i);
            heap.insert(get(ant));
         }
         if(urm != *indemnizatii.rbegin())
            heap.insert(get(urm));
         indemnizatii.erase(i);
      }  
   }
   
   return sz(heap) + 1;
}
#undef int

Subtask #1
0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1406 ms 3180 KB Output is correct
2 Correct 3701 ms 3536 KB Output is correct
3 Correct 3409 ms 3536 KB Output is correct
4 Correct 3226 ms 3536 KB Output is correct
5 Execution timed out 4016 ms 3536 KB Time limit exceeded
6 Halted 0 ms 0 KB -

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 2392 KB Output is correct
2 Correct 1 ms 2392 KB Output is correct
3 Correct 1 ms 2392 KB Output is correct
4 Correct 1 ms 2392 KB Output is correct
5 Correct 2 ms 2392 KB Output is correct
6 Correct 1 ms 2392 KB Output is correct
7 Correct 1 ms 2392 KB Output is correct
8 Correct 1 ms 2392 KB Output is correct
9 Correct 1 ms 2392 KB Output is correct
10 Correct 1 ms 2392 KB Output is correct
11 Correct 0 ms 2392 KB Output is correct
12 Correct 0 ms 2392 KB Output is correct
13 Correct 1 ms 2392 KB Output is correct
14 Correct 1 ms 2392 KB Output is correct
15 Correct 1 ms 2392 KB Output is correct
16 Correct 1 ms 2392 KB Output is correct
17 Correct 1 ms 2392 KB Output is correct
18 Correct 0 ms 2392 KB Output is correct
19 Correct 1 ms 2392 KB Output is correct
20 Correct 1 ms 2392 KB Output is correct
21 Correct 1 ms 2392 KB Output is correct
22 Correct 1 ms 2636 KB Output is correct
23 Correct 1 ms 2392 KB Output is correct
24 Correct 1 ms 2392 KB Output is correct
25 Correct 1 ms 2392 KB Output is correct
26 Correct 1 ms 2392 KB Output is correct
27 Correct 1 ms 2392 KB Output is correct
28 Correct 1 ms 2648 KB Output is correct
29 Correct 1 ms 2392 KB Output is correct
30 Correct 1 ms 2648 KB Output is correct
31 Correct 1 ms 2392 KB Output is correct
32 Correct 1 ms 2392 KB Output is correct
33 Correct 1 ms 2392 KB Output is correct
34 Correct 0 ms 2392 KB Output is correct
35 Correct 1 ms 2392 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 2392 KB Output is correct
2 Correct 1 ms 2392 KB Output is correct
3 Correct 1 ms 2392 KB Output is correct
4 Correct 1 ms 2392 KB Output is correct
5 Correct 2 ms 2392 KB Output is correct
6 Correct 1 ms 2392 KB Output is correct
7 Correct 1 ms 2392 KB Output is correct
8 Correct 1 ms 2392 KB Output is correct
9 Correct 1 ms 2392 KB Output is correct
10 Correct 1 ms 2392 KB Output is correct
11 Correct 0 ms 2392 KB Output is correct
12 Correct 0 ms 2392 KB Output is correct
13 Correct 1 ms 2392 KB Output is correct
14 Correct 1 ms 2392 KB Output is correct
15 Correct 1 ms 2392 KB Output is correct
16 Correct 1 ms 2392 KB Output is correct
17 Correct 1 ms 2392 KB Output is correct
18 Correct 0 ms 2392 KB Output is correct
19 Correct 1 ms 2392 KB Output is correct
20 Correct 1 ms 2392 KB Output is correct
21 Correct 1 ms 2392 KB Output is correct
22 Correct 1 ms 2636 KB Output is correct
23 Correct 1 ms 2392 KB Output is correct
24 Correct 1 ms 2392 KB Output is correct
25 Correct 1 ms 2392 KB Output is correct
26 Correct 1 ms 2392 KB Output is correct
27 Correct 1 ms 2392 KB Output is correct
28 Correct 1 ms 2648 KB Output is correct
29 Correct 1 ms 2392 KB Output is correct
30 Correct 1 ms 2648 KB Output is correct
31 Correct 1 ms 2392 KB Output is correct
32 Correct 1 ms 2392 KB Output is correct
33 Correct 1 ms 2392 KB Output is correct
34 Correct 0 ms 2392 KB Output is correct
35 Correct 1 ms 2392 KB Output is correct
36 Correct 8 ms 3928 KB Output is correct
37 Correct 22 ms 5060 KB Output is correct
38 Correct 11 ms 4048 KB Output is correct
39 Correct 30 ms 5584 KB Output is correct
40 Correct 12 ms 4304 KB Output is correct
41 Correct 56 ms 8560 KB Output is correct
42 Correct 11 ms 3792 KB Output is correct
43 Correct 8 ms 3536 KB Output is correct
44 Correct 8 ms 3536 KB Output is correct
45 Correct 14 ms 3536 KB Output is correct
46 Correct 15 ms 3520 KB Output is correct
47 Correct 14 ms 5072 KB Output is correct
48 Correct 13 ms 4816 KB Output is correct
49 Correct 10 ms 4048 KB Output is correct
50 Correct 8 ms 3512 KB Output is correct
51 Correct 8 ms 3536 KB Output is correct
52 Correct 33 ms 7612 KB Output is correct
53 Correct 37 ms 9556 KB Output is correct
54 Correct 35 ms 9596 KB Output is correct
55 Correct 9 ms 3536 KB Output is correct
56 Correct 9 ms 3536 KB Output is correct
57 Correct 46 ms 7580 KB Output is correct
58 Correct 45 ms 7632 KB Output is correct
59 Correct 36 ms 7632 KB Output is correct
60 Correct 35 ms 9680 KB Output is correct
61 Correct 46 ms 9672 KB Output is correct
62 Correct 65 ms 9672 KB Output is correct
63 Correct 45 ms 9672 KB Output is correct
64 Correct 8 ms 3536 KB Output is correct
65 Correct 14 ms 3624 KB Output is correct
66 Correct 11 ms 3536 KB Output is correct
67 Correct 15 ms 3500 KB Output is correct

Subtask #4
0 / 14.0

# Verdict Execution time Memory Grader output
1 Execution timed out 4091 ms 7632 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #5
0 / 17.0

# Verdict Execution time Memory Grader output
1 Execution timed out 4067 ms 3672 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #6
0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 2392 KB Output is correct
2 Correct 1 ms 2392 KB Output is correct
3 Correct 1 ms 2392 KB Output is correct
4 Correct 1 ms 2392 KB Output is correct
5 Correct 2 ms 2392 KB Output is correct
6 Correct 1 ms 2392 KB Output is correct
7 Correct 1 ms 2392 KB Output is correct
8 Correct 1 ms 2392 KB Output is correct
9 Correct 1 ms 2392 KB Output is correct
10 Correct 1 ms 2392 KB Output is correct
11 Correct 0 ms 2392 KB Output is correct
12 Correct 0 ms 2392 KB Output is correct
13 Correct 1 ms 2392 KB Output is correct
14 Correct 1 ms 2392 KB Output is correct
15 Correct 1 ms 2392 KB Output is correct
16 Correct 1 ms 2392 KB Output is correct
17 Correct 1 ms 2392 KB Output is correct
18 Correct 0 ms 2392 KB Output is correct
19 Correct 1 ms 2392 KB Output is correct
20 Correct 1 ms 2392 KB Output is correct
21 Correct 1 ms 2392 KB Output is correct
22 Correct 1 ms 2636 KB Output is correct
23 Correct 1 ms 2392 KB Output is correct
24 Correct 1 ms 2392 KB Output is correct
25 Correct 1 ms 2392 KB Output is correct
26 Correct 1 ms 2392 KB Output is correct
27 Correct 1 ms 2392 KB Output is correct
28 Correct 1 ms 2648 KB Output is correct
29 Correct 1 ms 2392 KB Output is correct
30 Correct 1 ms 2648 KB Output is correct
31 Correct 1 ms 2392 KB Output is correct
32 Correct 1 ms 2392 KB Output is correct
33 Correct 1 ms 2392 KB Output is correct
34 Correct 0 ms 2392 KB Output is correct
35 Correct 1 ms 2392 KB Output is correct
36 Correct 8 ms 3928 KB Output is correct
37 Correct 22 ms 5060 KB Output is correct
38 Correct 11 ms 4048 KB Output is correct
39 Correct 30 ms 5584 KB Output is correct
40 Correct 12 ms 4304 KB Output is correct
41 Correct 56 ms 8560 KB Output is correct
42 Correct 11 ms 3792 KB Output is correct
43 Correct 8 ms 3536 KB Output is correct
44 Correct 8 ms 3536 KB Output is correct
45 Correct 14 ms 3536 KB Output is correct
46 Correct 15 ms 3520 KB Output is correct
47 Correct 14 ms 5072 KB Output is correct
48 Correct 13 ms 4816 KB Output is correct
49 Correct 10 ms 4048 KB Output is correct
50 Correct 8 ms 3512 KB Output is correct
51 Correct 8 ms 3536 KB Output is correct
52 Correct 33 ms 7612 KB Output is correct
53 Correct 37 ms 9556 KB Output is correct
54 Correct 35 ms 9596 KB Output is correct
55 Correct 9 ms 3536 KB Output is correct
56 Correct 9 ms 3536 KB Output is correct
57 Correct 46 ms 7580 KB Output is correct
58 Correct 45 ms 7632 KB Output is correct
59 Correct 36 ms 7632 KB Output is correct
60 Correct 35 ms 9680 KB Output is correct
61 Correct 46 ms 9672 KB Output is correct
62 Correct 65 ms 9672 KB Output is correct
63 Correct 45 ms 9672 KB Output is correct
64 Correct 8 ms 3536 KB Output is correct
65 Correct 14 ms 3624 KB Output is correct
66 Correct 11 ms 3536 KB Output is correct
67 Correct 15 ms 3500 KB Output is correct
68 Execution timed out 4091 ms 7632 KB Time limit exceeded
69 Halted 0 ms 0 KB -

Subtask #7
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1406 ms 3180 KB Output is correct
2 Correct 3701 ms 3536 KB Output is correct
3 Correct 3409 ms 3536 KB Output is correct
4 Correct 3226 ms 3536 KB Output is correct
5 Execution timed out 4016 ms 3536 KB Time limit exceeded
6 Halted 0 ms 0 KB -