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Submission #1079492

# Submission time Handle Problem Language Result Execution time Memory
1079492 2024-08-28T15:46:41 Z LittleOrange Radio Towers (IOI22_towers) C++17
56 / 100
 727 ms 4556 KB 
#include "towers.h"

#include <vector>
#include<bits/stdc++.h>
using namespace std;
using ll = int;
const ll big = 1e9+10;
ll n;
vector<ll> h;
//ll mx;
vector<ll> ps;
vector<pair<ll,ll>> rgs;
struct obj{
  ll v,c;
  bool operator<(const obj &o) const{
    return v<o.v;
  }
  bool operator>(const obj &o) const{
    return v>o.v;
  }
};

void init(int N, std::vector<int> H) {
  n = N;
  h = H;
  //for(ll i = 0;i<n;i++) if((i==0||(h[i-1]<h[i]))&&(i==n-1||h[i]>h[i+1])) mx = i;
  //for(ll i = 1;i<n-1;i++){
  //  if (h[i-1]<h[i]&&h[i]>h[i+1]){
  //    ps.push_back(i);
  //  }
  //}
  //for(auto [u,v] : ps) cerr << "[" << u << "," << v << "]" << " ";cerr << "\n";
}
bool ps_inited = false;
void init_ps(ll d){
  ps_inited = true;
  vector<ll> l(n,0),r(n,0);
  vector<ll> ld(n,big),rd(n,big);
  {
    vector<pair<ll,ll>> v;
    v.push_back({h[0],0});
    for(ll i = 1;i<n;i++){
      auto it = lower_bound(v.begin(),v.end(),make_pair(h[i]-d+1,0));
      if (it!=v.begin()) ld[i] = i-(*--it).second;
      while(v.size()&&v.back().first>h[i]) v.pop_back();
      v.push_back({h[i],i});
    }
  }
  {
    vector<pair<ll,ll>> v;
    v.push_back({h[n-1],n-1});
    for(ll i = n-2;i>=0;i--){
      auto it = lower_bound(v.begin(),v.end(),make_pair(h[i]-d+1,0));
      if (it!=v.begin()) rd[i] = (*--it).second-i;
      while(v.size()&&v.back().first>h[i]) v.pop_back();
      v.push_back({h[i],i});
    }
  }
  {
    vector<pair<ll,ll>> v;
    v.push_back({h[0],h[0]});
    for(ll i = 1;i<n;i++){
      ll mi = h[i];
      while(v.size()&&v.back().first<h[i]){
        mi = min(mi,v.back().second);
        v.pop_back();
      }
      if (mi<=h[i]-d) l[i] = 1;
      v.push_back({h[i],mi});
    }
  }
  {
    vector<pair<ll,ll>> v;
    v.push_back({h[n-1],h[n-1]});
    for(ll i = n-2;i>=0;i--){
      ll mi = h[i];
      while(v.size()&&v.back().first<h[i]){
        mi = min(mi,v.back().second);
        v.pop_back();
      }
      if (mi<=h[i]-d) r[i] = 1;
      v.push_back({h[i],mi});
    }
  }
  for(ll i = 0;i<n;i++) if(l[i]&&r[i]) {
    ps.push_back(i);
    rgs.push_back({i-ld[i],i+rd[i]});
    //cerr << i-ld[i] << " " << i << " " << i+rd[i] << "\n";
  }
}

int max_towers(int L, int R, int D) {
  if(!ps_inited) init_ps(D);
  ll l = L, r = R, d = D;
  ll ans = 1;
  //auto it0 = lower_bound(ps.begin(),ps.end(),r);
  //ll rf = it0-ps.begin();
  //auto it1 = lower_bound(ps.begin(),ps.end(),l+1);
  //ll lf = it1-ps.begin();
  //cerr << lf << " " << rf << "\n";
  //ans = max(0,rf-lf)+1;
  auto it0 = lower_bound(rgs.begin(),rgs.end(),make_pair(r,0));
  //if (it0!=rgs.begin()) --it0;
  ll rf = it0-rgs.begin();
  if (it0!=rgs.begin()){
    if ((*--it0).second>r) --rf;
  }
  auto it1 = lower_bound(rgs.begin(),rgs.end(),make_pair(l,0));
  ll lf = it1-rgs.begin();
  ans = max(0,rf-lf)+1;
  return ans;
  /*vector<obj> a,b;
  a.push_back({0,0});
  b.push_back({big,0});
  for(ll i = l;i<=r;i++){
    ll cur = 0;
    auto it = lower_bound(b.begin(),b.end(),obj({h[i]-1,0}),greater<obj>());
    --it;
    cur = (*it).c;
    ans = max(ans,cur+1);
    obj oa = {h[i],cur+1};
    if (a.size()<=oa.c) a.push_back(oa);
    else a[oa.c] = min(a[oa.c],oa);
    auto it0 = lower_bound(a.begin(),a.end(),obj({h[i]-d+1,0}));
    --it0;
    obj ob = {h[i]-d,(*it0).c};
    if (b.size()<=ob.c) b.push_back(ob);
    else b[ob.c] = max(b[ob.c],ob);
    ans = max(ans,cur+1);
    //cerr << "a:";for(auto [u,v] : a) cerr << "(" << u <<"," << v << ") ";cerr << "\n";
    //cerr << "b:";for(auto [u,v] : b) cerr << "(" << u <<"," << v << ") ";cerr << "\n";
  }*/
  return ans;
}

Compilation message

towers.cpp: In function 'int max_towers(int, int, int)':
towers.cpp:94:20: warning: unused variable 'd' [-Wunused-variable]
   94 |   ll l = L, r = R, d = D;
      |                    ^

Subtask #1
0 / 4.0

# Verdict Execution time Memory Grader output
1 Incorrect 308 ms 2536 KB 31st lines differ - on the 1st token, expected: '1', found: '2'
2 Halted 0 ms 0 KB -

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 344 KB Output is correct
3 Correct 1 ms 344 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 1 ms 344 KB Output is correct
10 Correct 1 ms 344 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 0 ms 344 KB Output is correct
13 Correct 1 ms 344 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 1 ms 344 KB Output is correct
16 Correct 1 ms 344 KB Output is correct
17 Correct 1 ms 344 KB Output is correct
18 Correct 1 ms 344 KB Output is correct
19 Correct 1 ms 344 KB Output is correct
20 Correct 1 ms 344 KB Output is correct
21 Correct 1 ms 344 KB Output is correct
22 Correct 1 ms 344 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 0 ms 344 KB Output is correct
25 Correct 0 ms 344 KB Output is correct
26 Correct 0 ms 344 KB Output is correct
27 Correct 1 ms 344 KB Output is correct
28 Correct 1 ms 344 KB Output is correct
29 Correct 1 ms 344 KB Output is correct
30 Correct 1 ms 344 KB Output is correct
31 Correct 1 ms 344 KB Output is correct
32 Correct 1 ms 344 KB Output is correct
33 Correct 0 ms 344 KB Output is correct
34 Correct 1 ms 344 KB Output is correct
35 Correct 1 ms 344 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 344 KB Output is correct
3 Correct 1 ms 344 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 1 ms 344 KB Output is correct
10 Correct 1 ms 344 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 0 ms 344 KB Output is correct
13 Correct 1 ms 344 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 1 ms 344 KB Output is correct
16 Correct 1 ms 344 KB Output is correct
17 Correct 1 ms 344 KB Output is correct
18 Correct 1 ms 344 KB Output is correct
19 Correct 1 ms 344 KB Output is correct
20 Correct 1 ms 344 KB Output is correct
21 Correct 1 ms 344 KB Output is correct
22 Correct 1 ms 344 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 0 ms 344 KB Output is correct
25 Correct 0 ms 344 KB Output is correct
26 Correct 0 ms 344 KB Output is correct
27 Correct 1 ms 344 KB Output is correct
28 Correct 1 ms 344 KB Output is correct
29 Correct 1 ms 344 KB Output is correct
30 Correct 1 ms 344 KB Output is correct
31 Correct 1 ms 344 KB Output is correct
32 Correct 1 ms 344 KB Output is correct
33 Correct 0 ms 344 KB Output is correct
34 Correct 1 ms 344 KB Output is correct
35 Correct 1 ms 344 KB Output is correct
36 Correct 15 ms 2392 KB Output is correct
37 Correct 15 ms 2768 KB Output is correct
38 Correct 17 ms 3280 KB Output is correct
39 Correct 14 ms 2768 KB Output is correct
40 Correct 15 ms 3792 KB Output is correct
41 Correct 15 ms 3280 KB Output is correct
42 Correct 14 ms 3792 KB Output is correct
43 Correct 18 ms 4540 KB Output is correct
44 Correct 17 ms 4540 KB Output is correct
45 Correct 17 ms 4060 KB Output is correct
46 Correct 25 ms 3564 KB Output is correct
47 Correct 21 ms 3536 KB Output is correct
48 Correct 20 ms 3768 KB Output is correct
49 Correct 14 ms 3792 KB Output is correct
50 Correct 15 ms 4516 KB Output is correct
51 Correct 14 ms 4556 KB Output is correct
52 Correct 15 ms 3536 KB Output is correct
53 Correct 20 ms 3792 KB Output is correct
54 Correct 15 ms 3796 KB Output is correct
55 Correct 15 ms 4512 KB Output is correct
56 Correct 15 ms 4168 KB Output is correct
57 Correct 15 ms 2780 KB Output is correct
58 Correct 24 ms 3016 KB Output is correct
59 Correct 24 ms 3280 KB Output is correct
60 Correct 14 ms 3792 KB Output is correct
61 Correct 22 ms 3764 KB Output is correct
62 Correct 21 ms 3252 KB Output is correct
63 Correct 15 ms 3816 KB Output is correct
64 Correct 17 ms 4540 KB Output is correct
65 Correct 21 ms 4540 KB Output is correct
66 Correct 23 ms 3556 KB Output is correct
67 Correct 16 ms 4332 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 531 ms 3516 KB Output is correct
2 Correct 607 ms 3536 KB Output is correct
3 Correct 544 ms 3792 KB Output is correct
4 Correct 700 ms 3756 KB Output is correct
5 Correct 679 ms 3804 KB Output is correct
6 Correct 714 ms 3792 KB Output is correct
7 Correct 577 ms 3760 KB Output is correct
8 Correct 689 ms 4408 KB Output is correct
9 Correct 652 ms 4540 KB Output is correct
10 Correct 698 ms 4556 KB Output is correct
11 Correct 584 ms 4556 KB Output is correct
12 Correct 646 ms 4548 KB Output is correct
13 Correct 589 ms 4516 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 1 ms 344 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 19 ms 3760 KB Output is correct
18 Correct 23 ms 3792 KB Output is correct
19 Correct 13 ms 3792 KB Output is correct
20 Correct 13 ms 4352 KB Output is correct
21 Correct 14 ms 4556 KB Output is correct
22 Correct 15 ms 3528 KB Output is correct
23 Correct 20 ms 3792 KB Output is correct
24 Correct 16 ms 3792 KB Output is correct
25 Correct 18 ms 4540 KB Output is correct
26 Correct 19 ms 4168 KB Output is correct
27 Correct 1 ms 344 KB Output is correct
28 Correct 1 ms 344 KB Output is correct
29 Correct 1 ms 344 KB Output is correct
30 Correct 1 ms 344 KB Output is correct
31 Correct 1 ms 344 KB Output is correct
32 Correct 0 ms 344 KB Output is correct
33 Correct 1 ms 344 KB Output is correct
34 Correct 0 ms 344 KB Output is correct
35 Correct 0 ms 344 KB Output is correct
36 Correct 1 ms 344 KB Output is correct

Subtask #5
0 / 17.0

# Verdict Execution time Memory Grader output
1 Incorrect 182 ms 1112 KB 2nd lines differ - on the 1st token, expected: '7063', found: '7197'
2 Halted 0 ms 0 KB -

Subtask #6
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 1 ms 344 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 1 ms 344 KB Output is correct
10 Correct 1 ms 344 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 0 ms 344 KB Output is correct
13 Correct 1 ms 344 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 1 ms 344 KB Output is correct
16 Correct 1 ms 344 KB Output is correct
17 Correct 1 ms 344 KB Output is correct
18 Correct 1 ms 344 KB Output is correct
19 Correct 1 ms 344 KB Output is correct
20 Correct 1 ms 344 KB Output is correct
21 Correct 1 ms 344 KB Output is correct
22 Correct 1 ms 344 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 0 ms 344 KB Output is correct
25 Correct 0 ms 344 KB Output is correct
26 Correct 0 ms 344 KB Output is correct
27 Correct 1 ms 344 KB Output is correct
28 Correct 1 ms 344 KB Output is correct
29 Correct 1 ms 344 KB Output is correct
30 Correct 1 ms 344 KB Output is correct
31 Correct 1 ms 344 KB Output is correct
32 Correct 1 ms 344 KB Output is correct
33 Correct 0 ms 344 KB Output is correct
34 Correct 1 ms 344 KB Output is correct
35 Correct 1 ms 344 KB Output is correct
36 Correct 15 ms 2392 KB Output is correct
37 Correct 15 ms 2768 KB Output is correct
38 Correct 17 ms 3280 KB Output is correct
39 Correct 14 ms 2768 KB Output is correct
40 Correct 15 ms 3792 KB Output is correct
41 Correct 15 ms 3280 KB Output is correct
42 Correct 14 ms 3792 KB Output is correct
43 Correct 18 ms 4540 KB Output is correct
44 Correct 17 ms 4540 KB Output is correct
45 Correct 17 ms 4060 KB Output is correct
46 Correct 25 ms 3564 KB Output is correct
47 Correct 21 ms 3536 KB Output is correct
48 Correct 20 ms 3768 KB Output is correct
49 Correct 14 ms 3792 KB Output is correct
50 Correct 15 ms 4516 KB Output is correct
51 Correct 14 ms 4556 KB Output is correct
52 Correct 15 ms 3536 KB Output is correct
53 Correct 20 ms 3792 KB Output is correct
54 Correct 15 ms 3796 KB Output is correct
55 Correct 15 ms 4512 KB Output is correct
56 Correct 15 ms 4168 KB Output is correct
57 Correct 15 ms 2780 KB Output is correct
58 Correct 24 ms 3016 KB Output is correct
59 Correct 24 ms 3280 KB Output is correct
60 Correct 14 ms 3792 KB Output is correct
61 Correct 22 ms 3764 KB Output is correct
62 Correct 21 ms 3252 KB Output is correct
63 Correct 15 ms 3816 KB Output is correct
64 Correct 17 ms 4540 KB Output is correct
65 Correct 21 ms 4540 KB Output is correct
66 Correct 23 ms 3556 KB Output is correct
67 Correct 16 ms 4332 KB Output is correct
68 Correct 531 ms 3516 KB Output is correct
69 Correct 607 ms 3536 KB Output is correct
70 Correct 544 ms 3792 KB Output is correct
71 Correct 700 ms 3756 KB Output is correct
72 Correct 679 ms 3804 KB Output is correct
73 Correct 714 ms 3792 KB Output is correct
74 Correct 577 ms 3760 KB Output is correct
75 Correct 689 ms 4408 KB Output is correct
76 Correct 652 ms 4540 KB Output is correct
77 Correct 698 ms 4556 KB Output is correct
78 Correct 584 ms 4556 KB Output is correct
79 Correct 646 ms 4548 KB Output is correct
80 Correct 589 ms 4516 KB Output is correct
81 Correct 1 ms 344 KB Output is correct
82 Correct 1 ms 344 KB Output is correct
83 Correct 1 ms 340 KB Output is correct
84 Correct 19 ms 3760 KB Output is correct
85 Correct 23 ms 3792 KB Output is correct
86 Correct 13 ms 3792 KB Output is correct
87 Correct 13 ms 4352 KB Output is correct
88 Correct 14 ms 4556 KB Output is correct
89 Correct 15 ms 3528 KB Output is correct
90 Correct 20 ms 3792 KB Output is correct
91 Correct 16 ms 3792 KB Output is correct
92 Correct 18 ms 4540 KB Output is correct
93 Correct 19 ms 4168 KB Output is correct
94 Correct 1 ms 344 KB Output is correct
95 Correct 1 ms 344 KB Output is correct
96 Correct 1 ms 344 KB Output is correct
97 Correct 1 ms 344 KB Output is correct
98 Correct 1 ms 344 KB Output is correct
99 Correct 0 ms 344 KB Output is correct
100 Correct 1 ms 344 KB Output is correct
101 Correct 0 ms 344 KB Output is correct
102 Correct 0 ms 344 KB Output is correct
103 Correct 1 ms 344 KB Output is correct
104 Correct 575 ms 3068 KB Output is correct
105 Correct 644 ms 3280 KB Output is correct
106 Correct 727 ms 3024 KB Output is correct
107 Correct 595 ms 3280 KB Output is correct
108 Correct 670 ms 2768 KB Output is correct
109 Correct 711 ms 3280 KB Output is correct
110 Correct 671 ms 3792 KB Output is correct
111 Correct 675 ms 4540 KB Output is correct
112 Correct 641 ms 4520 KB Output is correct
113 Correct 638 ms 4364 KB Output is correct
114 Correct 630 ms 4280 KB Output is correct

Subtask #7
0 / 23.0

# Verdict Execution time Memory Grader output
1 Incorrect 308 ms 2536 KB 31st lines differ - on the 1st token, expected: '1', found: '2'
2 Halted 0 ms 0 KB -