oj.uz

Submission #1036299

# Submission time Handle Problem Language Result Execution time Memory
1036299 2024-07-27T08:24:30 Z aymanrs Radio Towers (IOI22_towers) C++17
41 / 100
 4000 ms 24524 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, greater<int>())-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 277 ms 14548 KB Output is correct
2 Correct 601 ms 24272 KB Output is correct
3 Correct 655 ms 24248 KB Output is correct
4 Correct 636 ms 24272 KB Output is correct
5 Correct 607 ms 24440 KB Output is correct
6 Correct 574 ms 24272 KB Output is correct
7 Correct 642 ms 24268 KB Output is correct
8 Correct 0 ms 344 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 1108 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 856 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 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

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 1108 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 856 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 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 20 ms 16048 KB Output is correct
37 Correct 32 ms 24268 KB Output is correct
38 Correct 33 ms 24272 KB Output is correct
39 Correct 30 ms 24524 KB Output is correct
40 Correct 33 ms 24524 KB Output is correct
41 Correct 31 ms 24524 KB Output is correct
42 Correct 30 ms 24524 KB Output is correct
43 Correct 21 ms 24272 KB Output is correct
44 Correct 23 ms 24272 KB Output is correct
45 Correct 28 ms 24272 KB Output is correct
46 Correct 30 ms 24344 KB Output is correct
47 Correct 37 ms 24272 KB Output is correct
48 Correct 29 ms 24516 KB Output is correct
49 Correct 31 ms 24516 KB Output is correct
50 Correct 22 ms 24272 KB Output is correct
51 Correct 28 ms 24272 KB Output is correct
52 Correct 31 ms 24272 KB Output is correct
53 Correct 36 ms 24296 KB Output is correct
54 Correct 29 ms 24480 KB Output is correct
55 Correct 28 ms 24272 KB Output is correct
56 Correct 34 ms 24272 KB Output is correct
57 Correct 31 ms 23504 KB Output is correct
58 Correct 32 ms 24272 KB Output is correct
59 Correct 33 ms 24392 KB Output is correct
60 Correct 32 ms 24516 KB Output is correct
61 Correct 30 ms 24516 KB Output is correct
62 Correct 38 ms 24516 KB Output is correct
63 Correct 37 ms 24524 KB Output is correct
64 Correct 22 ms 24264 KB Output is correct
65 Correct 23 ms 24272 KB Output is correct
66 Correct 38 ms 24264 KB Output is correct
67 Correct 29 ms 24244 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 489 ms 24016 KB Output is correct
2 Correct 593 ms 24272 KB Output is correct
3 Correct 620 ms 24272 KB Output is correct
4 Correct 607 ms 24516 KB Output is correct
5 Correct 624 ms 24516 KB Output is correct
6 Correct 612 ms 24524 KB Output is correct
7 Correct 607 ms 24524 KB Output is correct
8 Correct 613 ms 24412 KB Output is correct
9 Correct 675 ms 24272 KB Output is correct
10 Correct 562 ms 24272 KB Output is correct
11 Correct 621 ms 24272 KB Output is correct
12 Correct 560 ms 24272 KB Output is correct
13 Correct 645 ms 24368 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 31 ms 24360 KB Output is correct
18 Correct 30 ms 24524 KB Output is correct
19 Correct 30 ms 24516 KB Output is correct
20 Correct 22 ms 24272 KB Output is correct
21 Correct 28 ms 24260 KB Output is correct
22 Correct 31 ms 24244 KB Output is correct
23 Correct 34 ms 24340 KB Output is correct
24 Correct 30 ms 24520 KB Output is correct
25 Correct 21 ms 24460 KB Output is correct
26 Correct 28 ms 24272 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 916 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 4082 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 1108 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 856 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 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 20 ms 16048 KB Output is correct
37 Correct 32 ms 24268 KB Output is correct
38 Correct 33 ms 24272 KB Output is correct
39 Correct 30 ms 24524 KB Output is correct
40 Correct 33 ms 24524 KB Output is correct
41 Correct 31 ms 24524 KB Output is correct
42 Correct 30 ms 24524 KB Output is correct
43 Correct 21 ms 24272 KB Output is correct
44 Correct 23 ms 24272 KB Output is correct
45 Correct 28 ms 24272 KB Output is correct
46 Correct 30 ms 24344 KB Output is correct
47 Correct 37 ms 24272 KB Output is correct
48 Correct 29 ms 24516 KB Output is correct
49 Correct 31 ms 24516 KB Output is correct
50 Correct 22 ms 24272 KB Output is correct
51 Correct 28 ms 24272 KB Output is correct
52 Correct 31 ms 24272 KB Output is correct
53 Correct 36 ms 24296 KB Output is correct
54 Correct 29 ms 24480 KB Output is correct
55 Correct 28 ms 24272 KB Output is correct
56 Correct 34 ms 24272 KB Output is correct
57 Correct 31 ms 23504 KB Output is correct
58 Correct 32 ms 24272 KB Output is correct
59 Correct 33 ms 24392 KB Output is correct
60 Correct 32 ms 24516 KB Output is correct
61 Correct 30 ms 24516 KB Output is correct
62 Correct 38 ms 24516 KB Output is correct
63 Correct 37 ms 24524 KB Output is correct
64 Correct 22 ms 24264 KB Output is correct
65 Correct 23 ms 24272 KB Output is correct
66 Correct 38 ms 24264 KB Output is correct
67 Correct 29 ms 24244 KB Output is correct
68 Correct 489 ms 24016 KB Output is correct
69 Correct 593 ms 24272 KB Output is correct
70 Correct 620 ms 24272 KB Output is correct
71 Correct 607 ms 24516 KB Output is correct
72 Correct 624 ms 24516 KB Output is correct
73 Correct 612 ms 24524 KB Output is correct
74 Correct 607 ms 24524 KB Output is correct
75 Correct 613 ms 24412 KB Output is correct
76 Correct 675 ms 24272 KB Output is correct
77 Correct 562 ms 24272 KB Output is correct
78 Correct 621 ms 24272 KB Output is correct
79 Correct 560 ms 24272 KB Output is correct
80 Correct 645 ms 24368 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 31 ms 24360 KB Output is correct
85 Correct 30 ms 24524 KB Output is correct
86 Correct 30 ms 24516 KB Output is correct
87 Correct 22 ms 24272 KB Output is correct
88 Correct 28 ms 24260 KB Output is correct
89 Correct 31 ms 24244 KB Output is correct
90 Correct 34 ms 24340 KB Output is correct
91 Correct 30 ms 24520 KB Output is correct
92 Correct 21 ms 24460 KB Output is correct
93 Correct 28 ms 24272 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 916 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 4011 ms 21704 KB Time limit exceeded
105 Halted 0 ms 0 KB -

Subtask #7
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 277 ms 14548 KB Output is correct
2 Correct 601 ms 24272 KB Output is correct
3 Correct 655 ms 24248 KB Output is correct
4 Correct 636 ms 24272 KB Output is correct
5 Correct 607 ms 24440 KB Output is correct
6 Correct 574 ms 24272 KB Output is correct
7 Correct 642 ms 24268 KB Output is correct
8 Correct 0 ms 344 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 1108 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 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 1 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 16048 KB Output is correct
47 Correct 32 ms 24268 KB Output is correct
48 Correct 33 ms 24272 KB Output is correct
49 Correct 30 ms 24524 KB Output is correct
50 Correct 33 ms 24524 KB Output is correct
51 Correct 31 ms 24524 KB Output is correct
52 Correct 30 ms 24524 KB Output is correct
53 Correct 21 ms 24272 KB Output is correct
54 Correct 23 ms 24272 KB Output is correct
55 Correct 28 ms 24272 KB Output is correct
56 Correct 30 ms 24344 KB Output is correct
57 Correct 37 ms 24272 KB Output is correct
58 Correct 29 ms 24516 KB Output is correct
59 Correct 31 ms 24516 KB Output is correct
60 Correct 22 ms 24272 KB Output is correct
61 Correct 28 ms 24272 KB Output is correct
62 Correct 31 ms 24272 KB Output is correct
63 Correct 36 ms 24296 KB Output is correct
64 Correct 29 ms 24480 KB Output is correct
65 Correct 28 ms 24272 KB Output is correct
66 Correct 34 ms 24272 KB Output is correct
67 Correct 31 ms 23504 KB Output is correct
68 Correct 32 ms 24272 KB Output is correct
69 Correct 33 ms 24392 KB Output is correct
70 Correct 32 ms 24516 KB Output is correct
71 Correct 30 ms 24516 KB Output is correct
72 Correct 38 ms 24516 KB Output is correct
73 Correct 37 ms 24524 KB Output is correct
74 Correct 22 ms 24264 KB Output is correct
75 Correct 23 ms 24272 KB Output is correct
76 Correct 38 ms 24264 KB Output is correct
77 Correct 29 ms 24244 KB Output is correct
78 Correct 489 ms 24016 KB Output is correct
79 Correct 593 ms 24272 KB Output is correct
80 Correct 620 ms 24272 KB Output is correct
81 Correct 607 ms 24516 KB Output is correct
82 Correct 624 ms 24516 KB Output is correct
83 Correct 612 ms 24524 KB Output is correct
84 Correct 607 ms 24524 KB Output is correct
85 Correct 613 ms 24412 KB Output is correct
86 Correct 675 ms 24272 KB Output is correct
87 Correct 562 ms 24272 KB Output is correct
88 Correct 621 ms 24272 KB Output is correct
89 Correct 560 ms 24272 KB Output is correct
90 Correct 645 ms 24368 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 31 ms 24360 KB Output is correct
95 Correct 30 ms 24524 KB Output is correct
96 Correct 30 ms 24516 KB Output is correct
97 Correct 22 ms 24272 KB Output is correct
98 Correct 28 ms 24260 KB Output is correct
99 Correct 31 ms 24244 KB Output is correct
100 Correct 34 ms 24340 KB Output is correct
101 Correct 30 ms 24520 KB Output is correct
102 Correct 21 ms 24460 KB Output is correct
103 Correct 28 ms 24272 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 916 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 4082 ms 6232 KB Time limit exceeded
115 Halted 0 ms 0 KB -