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Submission #1036296

# Submission time Handle Problem Language Result Execution time Memory
1036296 2024-07-27T08:22:28 Z aymanrs Radio Towers (IOI22_towers) C++17
41 / 100
 4000 ms 24768 KB 
#include "towers.h"
#include <bits/stdc++.h>
using namespace std;
vector<int> pr, h;
const int K = 17;
vector<pair<int, int>> sp[K];
vector<int> spm[K];
vector<int> ds;
inline int msb(int x){
    return 31-__builtin_clz(x);
}
int que(int l, int r){
  int d = msb(r-l+1);
  return max(sp[d][l], sp[d][r-(1<<d)+1]).second;
}
int qum(int l, int r){
  int d = msb(r-l+1);
  return min(spm[d][l], spm[d][r-(1<<d)+1]);
}
bool sub1 = true;
int th;
void init(int N, std::vector<int> H) {
  h = H;
  pr.resize(N);
  pr[0]=0;
  auto mx = max_element(h.begin(), h.end());
  if(is_sorted(h.begin(), mx) && is_sorted(mx, h.end(), greater<int>())) {
    sub1=true;
    th = mx-h.begin();
  }
  else sub1=false;
  int l[N], r[N], p[N];
  for(int i = 0;i < K;i++) {
    sp[i].resize(N);
    spm[i].resize(N);
  }
  for(int i = 0;i < N;i++){
    l[i]=i;
    while(l[i]&&H[l[i]-1]<H[i]) l[i]=l[l[i]-1];
    sp[0][i] = {H[i], i};spm[0][i]=H[i];
  }
  for(int i = N-1;i >= 0;i--){
    r[i]=i;
    while(r[i]<N-1&&H[r[i]+1]<H[i]) r[i]=r[r[i]+1];
    if(i==th) continue;
    if(!l[i] || (r[i]<N-1&&H[l[i]-1]>H[r[i]+1])){
      p[i] = r[i]+1;
    } else {
      p[i]=l[i]-1;
    }
  }
  vector<pair<int, int>> D;
  bool mark[N] = {false};
  mark[th] = true;
  for(int i = 0;i < N;i++){
    if(i==th) continue;
    D.push_back({H[p[i]]-qum(l[i], r[i]), i});
  }
  sort(D.begin(), D.end(), greater<pair<int, int>>());
  for(auto [d, i] : D){
    mark[i] = true;
    if(mark[p[i]]) {
      mark[p[i]] = false;
    } else ds.push_back(d);
  }
  for(int k = 1;k < K;k++){
    for(int i = 0;i+(1<<k)<=N;i++){
      sp[k][i] = max(sp[k-1][i], sp[k-1][i+(1<<k-1)]);
      spm[k][i] = min(spm[k-1][i], spm[k-1][i+(1<<k-1)]);
    }
  }
  for(int i = 1;i < N-1;i++){
    pr[i]=pr[i-1];
    if(H[i] < H[i-1] && H[i] < H[i+1]) pr[i]++;
  }
}
int de;
int ans(int l, int r, int atm){
  if(l==r){
    if(h[l]<=atm) return 1;
    return 0;
  }
  int m = que(l, r);
  if(l==m) return ans(l+1, r, atm);
  if(m==r) return ans(l, r-1, atm);
  return max(ans(l, m-1, h[m]-de)+ans(m+1, r, h[m]-de), (qum(l,r) <= atm ? 1 : 0));
}
int max_towers(int L, int R, int D) {
  if(!L && R == h.size()){
    return 1+lower_bound(ds.begin(), ds.end(), D-1)-ds.begin();
  }
  if(sub1){
    if(L>th || R < th) return 1;
    return (h[R] <= h[th]-D && h[L] <= h[th]-D ? 2 : 1);
  }
  de = D;
  if(L+1>=R) return 1;
  if(D==1) return pr[R-1]-pr[L]+(h[L] < h[L+1])+(h[R]<h[R-1]);
  return ans(L, R, INT_MAX);
}

Compilation message

towers.cpp: In function 'void init(int, std::vector<int>)':
towers.cpp:68:49: warning: suggest parentheses around '-' inside '<<' [-Wparentheses]
   68 |       sp[k][i] = max(sp[k-1][i], sp[k-1][i+(1<<k-1)]);
      |                                                ~^~
towers.cpp:69:52: warning: suggest parentheses around '-' inside '<<' [-Wparentheses]
   69 |       spm[k][i] = min(spm[k-1][i], spm[k-1][i+(1<<k-1)]);
      |                                                   ~^~
towers.cpp: In function 'int max_towers(int, int, int)':
towers.cpp:89:14: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   89 |   if(!L && R == h.size()){
      |            ~~^~~~~~~~~~~

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 310 ms 14544 KB Output is correct
2 Correct 622 ms 24272 KB Output is correct
3 Correct 619 ms 24272 KB Output is correct
4 Correct 619 ms 24272 KB Output is correct
5 Correct 638 ms 24272 KB Output is correct
6 Correct 611 ms 24280 KB Output is correct
7 Correct 646 ms 24244 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 856 KB Output is correct
10 Correct 1 ms 856 KB Output is correct

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 1 ms 856 KB Output is correct
3 Correct 1 ms 856 KB Output is correct
4 Correct 1 ms 856 KB Output is correct
5 Correct 1 ms 856 KB Output is correct
6 Correct 1 ms 856 KB Output is correct
7 Correct 1 ms 856 KB Output is correct
8 Correct 1 ms 856 KB Output is correct
9 Correct 1 ms 856 KB Output is correct
10 Correct 1 ms 912 KB Output is correct
11 Correct 1 ms 856 KB Output is correct
12 Correct 0 ms 344 KB Output is correct
13 Correct 1 ms 856 KB Output is correct
14 Correct 1 ms 856 KB Output is correct
15 Correct 1 ms 856 KB Output is correct
16 Correct 1 ms 856 KB Output is correct
17 Correct 1 ms 856 KB Output is correct
18 Correct 1 ms 856 KB Output is correct
19 Correct 1 ms 856 KB Output is correct
20 Correct 1 ms 856 KB Output is correct
21 Correct 1 ms 856 KB Output is correct
22 Correct 1 ms 856 KB Output is correct
23 Correct 1 ms 856 KB Output is correct
24 Correct 1 ms 856 KB Output is correct
25 Correct 1 ms 600 KB Output is correct
26 Correct 1 ms 856 KB Output is correct
27 Correct 1 ms 856 KB Output is correct
28 Correct 1 ms 856 KB Output is correct
29 Correct 1 ms 856 KB Output is correct
30 Correct 1 ms 856 KB Output is correct
31 Correct 1 ms 856 KB Output is correct
32 Correct 1 ms 856 KB Output is correct
33 Correct 0 ms 856 KB Output is correct
34 Correct 1 ms 856 KB Output is correct
35 Correct 1 ms 856 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 1 ms 856 KB Output is correct
3 Correct 1 ms 856 KB Output is correct
4 Correct 1 ms 856 KB Output is correct
5 Correct 1 ms 856 KB Output is correct
6 Correct 1 ms 856 KB Output is correct
7 Correct 1 ms 856 KB Output is correct
8 Correct 1 ms 856 KB Output is correct
9 Correct 1 ms 856 KB Output is correct
10 Correct 1 ms 912 KB Output is correct
11 Correct 1 ms 856 KB Output is correct
12 Correct 0 ms 344 KB Output is correct
13 Correct 1 ms 856 KB Output is correct
14 Correct 1 ms 856 KB Output is correct
15 Correct 1 ms 856 KB Output is correct
16 Correct 1 ms 856 KB Output is correct
17 Correct 1 ms 856 KB Output is correct
18 Correct 1 ms 856 KB Output is correct
19 Correct 1 ms 856 KB Output is correct
20 Correct 1 ms 856 KB Output is correct
21 Correct 1 ms 856 KB Output is correct
22 Correct 1 ms 856 KB Output is correct
23 Correct 1 ms 856 KB Output is correct
24 Correct 1 ms 856 KB Output is correct
25 Correct 1 ms 600 KB Output is correct
26 Correct 1 ms 856 KB Output is correct
27 Correct 1 ms 856 KB Output is correct
28 Correct 1 ms 856 KB Output is correct
29 Correct 1 ms 856 KB Output is correct
30 Correct 1 ms 856 KB Output is correct
31 Correct 1 ms 856 KB Output is correct
32 Correct 1 ms 856 KB Output is correct
33 Correct 0 ms 856 KB Output is correct
34 Correct 1 ms 856 KB Output is correct
35 Correct 1 ms 856 KB Output is correct
36 Correct 20 ms 16080 KB Output is correct
37 Correct 31 ms 24304 KB Output is correct
38 Correct 30 ms 24272 KB Output is correct
39 Correct 29 ms 24516 KB Output is correct
40 Correct 29 ms 24524 KB Output is correct
41 Correct 30 ms 24768 KB Output is correct
42 Correct 30 ms 24520 KB Output is correct
43 Correct 21 ms 24272 KB Output is correct
44 Correct 23 ms 24272 KB Output is correct
45 Correct 29 ms 24244 KB Output is correct
46 Correct 24 ms 24272 KB Output is correct
47 Correct 31 ms 24272 KB Output is correct
48 Correct 37 ms 24520 KB Output is correct
49 Correct 30 ms 24464 KB Output is correct
50 Correct 22 ms 24428 KB Output is correct
51 Correct 28 ms 24272 KB Output is correct
52 Correct 31 ms 24272 KB Output is correct
53 Correct 29 ms 24516 KB Output is correct
54 Correct 29 ms 24524 KB Output is correct
55 Correct 27 ms 24264 KB Output is correct
56 Correct 28 ms 24272 KB Output is correct
57 Correct 30 ms 23504 KB Output is correct
58 Correct 32 ms 24272 KB Output is correct
59 Correct 33 ms 24272 KB Output is correct
60 Correct 30 ms 24524 KB Output is correct
61 Correct 30 ms 24524 KB Output is correct
62 Correct 36 ms 24476 KB Output is correct
63 Correct 33 ms 24752 KB Output is correct
64 Correct 21 ms 24272 KB Output is correct
65 Correct 21 ms 24240 KB Output is correct
66 Correct 28 ms 24272 KB Output is correct
67 Correct 27 ms 24276 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 464 ms 24016 KB Output is correct
2 Correct 593 ms 24352 KB Output is correct
3 Correct 652 ms 24272 KB Output is correct
4 Correct 591 ms 24516 KB Output is correct
5 Correct 670 ms 24512 KB Output is correct
6 Correct 658 ms 24524 KB Output is correct
7 Correct 656 ms 24516 KB Output is correct
8 Correct 651 ms 24264 KB Output is correct
9 Correct 608 ms 24272 KB Output is correct
10 Correct 617 ms 24272 KB Output is correct
11 Correct 530 ms 24272 KB Output is correct
12 Correct 543 ms 24356 KB Output is correct
13 Correct 642 ms 24288 KB Output is correct
14 Correct 0 ms 344 KB Output is correct
15 Correct 1 ms 856 KB Output is correct
16 Correct 1 ms 856 KB Output is correct
17 Correct 30 ms 24252 KB Output is correct
18 Correct 36 ms 24524 KB Output is correct
19 Correct 36 ms 24452 KB Output is correct
20 Correct 29 ms 24272 KB Output is correct
21 Correct 29 ms 24272 KB Output is correct
22 Correct 37 ms 24352 KB Output is correct
23 Correct 36 ms 24408 KB Output is correct
24 Correct 30 ms 24512 KB Output is correct
25 Correct 22 ms 24260 KB Output is correct
26 Correct 28 ms 24344 KB Output is correct
27 Correct 1 ms 856 KB Output is correct
28 Correct 1 ms 856 KB Output is correct
29 Correct 1 ms 856 KB Output is correct
30 Correct 1 ms 856 KB Output is correct
31 Correct 1 ms 856 KB Output is correct
32 Correct 1 ms 856 KB Output is correct
33 Correct 1 ms 856 KB Output is correct
34 Correct 1 ms 856 KB Output is correct
35 Correct 1 ms 856 KB Output is correct
36 Correct 1 ms 856 KB Output is correct

Subtask #5
0 / 17.0

# Verdict Execution time Memory Grader output
1 Execution timed out 4067 ms 6232 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 344 KB Output is correct
2 Correct 1 ms 856 KB Output is correct
3 Correct 1 ms 856 KB Output is correct
4 Correct 1 ms 856 KB Output is correct
5 Correct 1 ms 856 KB Output is correct
6 Correct 1 ms 856 KB Output is correct
7 Correct 1 ms 856 KB Output is correct
8 Correct 1 ms 856 KB Output is correct
9 Correct 1 ms 856 KB Output is correct
10 Correct 1 ms 912 KB Output is correct
11 Correct 1 ms 856 KB Output is correct
12 Correct 0 ms 344 KB Output is correct
13 Correct 1 ms 856 KB Output is correct
14 Correct 1 ms 856 KB Output is correct
15 Correct 1 ms 856 KB Output is correct
16 Correct 1 ms 856 KB Output is correct
17 Correct 1 ms 856 KB Output is correct
18 Correct 1 ms 856 KB Output is correct
19 Correct 1 ms 856 KB Output is correct
20 Correct 1 ms 856 KB Output is correct
21 Correct 1 ms 856 KB Output is correct
22 Correct 1 ms 856 KB Output is correct
23 Correct 1 ms 856 KB Output is correct
24 Correct 1 ms 856 KB Output is correct
25 Correct 1 ms 600 KB Output is correct
26 Correct 1 ms 856 KB Output is correct
27 Correct 1 ms 856 KB Output is correct
28 Correct 1 ms 856 KB Output is correct
29 Correct 1 ms 856 KB Output is correct
30 Correct 1 ms 856 KB Output is correct
31 Correct 1 ms 856 KB Output is correct
32 Correct 1 ms 856 KB Output is correct
33 Correct 0 ms 856 KB Output is correct
34 Correct 1 ms 856 KB Output is correct
35 Correct 1 ms 856 KB Output is correct
36 Correct 20 ms 16080 KB Output is correct
37 Correct 31 ms 24304 KB Output is correct
38 Correct 30 ms 24272 KB Output is correct
39 Correct 29 ms 24516 KB Output is correct
40 Correct 29 ms 24524 KB Output is correct
41 Correct 30 ms 24768 KB Output is correct
42 Correct 30 ms 24520 KB Output is correct
43 Correct 21 ms 24272 KB Output is correct
44 Correct 23 ms 24272 KB Output is correct
45 Correct 29 ms 24244 KB Output is correct
46 Correct 24 ms 24272 KB Output is correct
47 Correct 31 ms 24272 KB Output is correct
48 Correct 37 ms 24520 KB Output is correct
49 Correct 30 ms 24464 KB Output is correct
50 Correct 22 ms 24428 KB Output is correct
51 Correct 28 ms 24272 KB Output is correct
52 Correct 31 ms 24272 KB Output is correct
53 Correct 29 ms 24516 KB Output is correct
54 Correct 29 ms 24524 KB Output is correct
55 Correct 27 ms 24264 KB Output is correct
56 Correct 28 ms 24272 KB Output is correct
57 Correct 30 ms 23504 KB Output is correct
58 Correct 32 ms 24272 KB Output is correct
59 Correct 33 ms 24272 KB Output is correct
60 Correct 30 ms 24524 KB Output is correct
61 Correct 30 ms 24524 KB Output is correct
62 Correct 36 ms 24476 KB Output is correct
63 Correct 33 ms 24752 KB Output is correct
64 Correct 21 ms 24272 KB Output is correct
65 Correct 21 ms 24240 KB Output is correct
66 Correct 28 ms 24272 KB Output is correct
67 Correct 27 ms 24276 KB Output is correct
68 Correct 464 ms 24016 KB Output is correct
69 Correct 593 ms 24352 KB Output is correct
70 Correct 652 ms 24272 KB Output is correct
71 Correct 591 ms 24516 KB Output is correct
72 Correct 670 ms 24512 KB Output is correct
73 Correct 658 ms 24524 KB Output is correct
74 Correct 656 ms 24516 KB Output is correct
75 Correct 651 ms 24264 KB Output is correct
76 Correct 608 ms 24272 KB Output is correct
77 Correct 617 ms 24272 KB Output is correct
78 Correct 530 ms 24272 KB Output is correct
79 Correct 543 ms 24356 KB Output is correct
80 Correct 642 ms 24288 KB Output is correct
81 Correct 0 ms 344 KB Output is correct
82 Correct 1 ms 856 KB Output is correct
83 Correct 1 ms 856 KB Output is correct
84 Correct 30 ms 24252 KB Output is correct
85 Correct 36 ms 24524 KB Output is correct
86 Correct 36 ms 24452 KB Output is correct
87 Correct 29 ms 24272 KB Output is correct
88 Correct 29 ms 24272 KB Output is correct
89 Correct 37 ms 24352 KB Output is correct
90 Correct 36 ms 24408 KB Output is correct
91 Correct 30 ms 24512 KB Output is correct
92 Correct 22 ms 24260 KB Output is correct
93 Correct 28 ms 24344 KB Output is correct
94 Correct 1 ms 856 KB Output is correct
95 Correct 1 ms 856 KB Output is correct
96 Correct 1 ms 856 KB Output is correct
97 Correct 1 ms 856 KB Output is correct
98 Correct 1 ms 856 KB Output is correct
99 Correct 1 ms 856 KB Output is correct
100 Correct 1 ms 856 KB Output is correct
101 Correct 1 ms 856 KB Output is correct
102 Correct 1 ms 856 KB Output is correct
103 Correct 1 ms 856 KB Output is correct
104 Execution timed out 4030 ms 21712 KB Time limit exceeded
105 Halted 0 ms 0 KB -

Subtask #7
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 310 ms 14544 KB Output is correct
2 Correct 622 ms 24272 KB Output is correct
3 Correct 619 ms 24272 KB Output is correct
4 Correct 619 ms 24272 KB Output is correct
5 Correct 638 ms 24272 KB Output is correct
6 Correct 611 ms 24280 KB Output is correct
7 Correct 646 ms 24244 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 856 KB Output is correct
10 Correct 1 ms 856 KB Output is correct
11 Correct 0 ms 344 KB Output is correct
12 Correct 1 ms 856 KB Output is correct
13 Correct 1 ms 856 KB Output is correct
14 Correct 1 ms 856 KB Output is correct
15 Correct 1 ms 856 KB Output is correct
16 Correct 1 ms 856 KB Output is correct
17 Correct 1 ms 856 KB Output is correct
18 Correct 1 ms 856 KB Output is correct
19 Correct 1 ms 856 KB Output is correct
20 Correct 1 ms 912 KB Output is correct
21 Correct 1 ms 856 KB Output is correct
22 Correct 0 ms 344 KB Output is correct
23 Correct 1 ms 856 KB Output is correct
24 Correct 1 ms 856 KB Output is correct
25 Correct 1 ms 856 KB Output is correct
26 Correct 1 ms 856 KB Output is correct
27 Correct 1 ms 856 KB Output is correct
28 Correct 1 ms 856 KB Output is correct
29 Correct 1 ms 856 KB Output is correct
30 Correct 1 ms 856 KB Output is correct
31 Correct 1 ms 856 KB Output is correct
32 Correct 1 ms 856 KB Output is correct
33 Correct 1 ms 856 KB Output is correct
34 Correct 1 ms 856 KB Output is correct
35 Correct 1 ms 600 KB Output is correct
36 Correct 1 ms 856 KB Output is correct
37 Correct 1 ms 856 KB Output is correct
38 Correct 1 ms 856 KB Output is correct
39 Correct 1 ms 856 KB Output is correct
40 Correct 1 ms 856 KB Output is correct
41 Correct 1 ms 856 KB Output is correct
42 Correct 1 ms 856 KB Output is correct
43 Correct 0 ms 856 KB Output is correct
44 Correct 1 ms 856 KB Output is correct
45 Correct 1 ms 856 KB Output is correct
46 Correct 20 ms 16080 KB Output is correct
47 Correct 31 ms 24304 KB Output is correct
48 Correct 30 ms 24272 KB Output is correct
49 Correct 29 ms 24516 KB Output is correct
50 Correct 29 ms 24524 KB Output is correct
51 Correct 30 ms 24768 KB Output is correct
52 Correct 30 ms 24520 KB Output is correct
53 Correct 21 ms 24272 KB Output is correct
54 Correct 23 ms 24272 KB Output is correct
55 Correct 29 ms 24244 KB Output is correct
56 Correct 24 ms 24272 KB Output is correct
57 Correct 31 ms 24272 KB Output is correct
58 Correct 37 ms 24520 KB Output is correct
59 Correct 30 ms 24464 KB Output is correct
60 Correct 22 ms 24428 KB Output is correct
61 Correct 28 ms 24272 KB Output is correct
62 Correct 31 ms 24272 KB Output is correct
63 Correct 29 ms 24516 KB Output is correct
64 Correct 29 ms 24524 KB Output is correct
65 Correct 27 ms 24264 KB Output is correct
66 Correct 28 ms 24272 KB Output is correct
67 Correct 30 ms 23504 KB Output is correct
68 Correct 32 ms 24272 KB Output is correct
69 Correct 33 ms 24272 KB Output is correct
70 Correct 30 ms 24524 KB Output is correct
71 Correct 30 ms 24524 KB Output is correct
72 Correct 36 ms 24476 KB Output is correct
73 Correct 33 ms 24752 KB Output is correct
74 Correct 21 ms 24272 KB Output is correct
75 Correct 21 ms 24240 KB Output is correct
76 Correct 28 ms 24272 KB Output is correct
77 Correct 27 ms 24276 KB Output is correct
78 Correct 464 ms 24016 KB Output is correct
79 Correct 593 ms 24352 KB Output is correct
80 Correct 652 ms 24272 KB Output is correct
81 Correct 591 ms 24516 KB Output is correct
82 Correct 670 ms 24512 KB Output is correct
83 Correct 658 ms 24524 KB Output is correct
84 Correct 656 ms 24516 KB Output is correct
85 Correct 651 ms 24264 KB Output is correct
86 Correct 608 ms 24272 KB Output is correct
87 Correct 617 ms 24272 KB Output is correct
88 Correct 530 ms 24272 KB Output is correct
89 Correct 543 ms 24356 KB Output is correct
90 Correct 642 ms 24288 KB Output is correct
91 Correct 0 ms 344 KB Output is correct
92 Correct 1 ms 856 KB Output is correct
93 Correct 1 ms 856 KB Output is correct
94 Correct 30 ms 24252 KB Output is correct
95 Correct 36 ms 24524 KB Output is correct
96 Correct 36 ms 24452 KB Output is correct
97 Correct 29 ms 24272 KB Output is correct
98 Correct 29 ms 24272 KB Output is correct
99 Correct 37 ms 24352 KB Output is correct
100 Correct 36 ms 24408 KB Output is correct
101 Correct 30 ms 24512 KB Output is correct
102 Correct 22 ms 24260 KB Output is correct
103 Correct 28 ms 24344 KB Output is correct
104 Correct 1 ms 856 KB Output is correct
105 Correct 1 ms 856 KB Output is correct
106 Correct 1 ms 856 KB Output is correct
107 Correct 1 ms 856 KB Output is correct
108 Correct 1 ms 856 KB Output is correct
109 Correct 1 ms 856 KB Output is correct
110 Correct 1 ms 856 KB Output is correct
111 Correct 1 ms 856 KB Output is correct
112 Correct 1 ms 856 KB Output is correct
113 Correct 1 ms 856 KB Output is correct
114 Execution timed out 4067 ms 6232 KB Time limit exceeded
115 Halted 0 ms 0 KB -