oj.uz

Submission #984017

# Submission time Handle Problem Language Result Execution time Memory
984017 2024-05-16T09:11:31 Z Kenjikrab Sequence (APIO23_sequence) C++17
100 / 100
 934 ms 68036 KB 
#include "sequence.h"
#include<bits/stdc++.h>
#define pii pair<int,int>
#define fi first
#define se second
using namespace std;
int const n_max=5e5+10;

struct Node{
  int sum;
  int mn;
  int mx;
  Node():sum(0),mn(0),mx(0){}
  Node(int a):sum(a),mn(min(0,a)),mx(max(0,a)){}
  Node operator +(Node a)
  {
    Node ret;
    ret.sum=sum+a.sum;
    ret.mn=min(mn,sum+a.mn);
    ret.mx=max(mx,sum+a.mx);
    return ret;
  }
};
Node tree[4*n_max];
void upd(int idx,int l,int r,int p,int v)
{
  if(p<l||r<p)return;
  if(l==r)
  {
    tree[idx]=Node(v);
    return;
  }
  int mid=(l+r)>>1;
  if(p<=mid)upd(idx<<1,l,mid,p,v);
  else upd(idx<<1^1,mid+1,r,p,v);
  tree[idx]=tree[idx<<1]+tree[idx<<1^1];
}
Node qr(int idx,int l,int r,int ll,int rr)
{
  if(rr<l||r<ll)return Node();
  if(ll<=l&&r<=rr)return tree[idx];
  int mid=(l+r)>>1;
  return qr(idx<<1,l,mid,ll,rr)+qr(idx<<1^1,mid+1,r,ll,rr);
}
vector<int> A;
vector<int> pos[n_max];
int sequence(int N, vector<int> _A)
{
  A.push_back(0);
  for(int i=0;i<N;i++)A.push_back(_A[i]);
  for(int i=1;i<=N;i++)pos[i].push_back(0);
  for(int i=1;i<=N;i++)pos[A[i]].push_back(i),upd(1,1,N,i,1);
  for(int i=1;i<=N;i++)pos[i].push_back(N+1);
  int ans=1;
  for(int i=1;i<=N;i++)
  {
    for(auto it:pos[i])upd(1,1,N,it,0);
    for(auto it:pos[i-1])upd(1,1,N,it,-1);
    vector<pii> keep;
    int time=0;
    for(int j=1;j<pos[i].size();j++)
    {
      Node temp=qr(1,1,N,pos[i][j-1]+1,pos[i][j]-1);
      keep.push_back({time+temp.mn,time+temp.mx});
      time+=temp.sum;
    }
    for(int j=1;j<keep.size();j++)
    {
      int l=0,r=j;
      while(l<r)
      {
        int mid=(l+r)>>1;
        if(-j>keep[j].se-keep[mid].fi||keep[j].fi-keep[mid].se>j)l=mid+1;
        else r=mid;
      }
      ans=max(ans,j-l);
      keep[j].fi+=j;
      keep[j].se-=j;
      keep[j]={min(keep[j].fi,keep[j-1].fi),max(keep[j].se,keep[j-1].se)};
    }
  }
  return ans;
}

Compilation message

sequence.cpp: In function 'int sequence(int, std::vector<int>)':
sequence.cpp:61:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   61 |     for(int j=1;j<pos[i].size();j++)
      |                 ~^~~~~~~~~~~~~~
sequence.cpp:67:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   67 |     for(int j=1;j<keep.size();j++)
      |                 ~^~~~~~~~~~~~

Subtask #1
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 35416 KB Output is correct
2 Correct 7 ms 35416 KB Output is correct
3 Correct 7 ms 35416 KB Output is correct
4 Correct 8 ms 35420 KB Output is correct
5 Correct 7 ms 35420 KB Output is correct
6 Correct 7 ms 35532 KB Output is correct
7 Correct 7 ms 35416 KB Output is correct
8 Correct 7 ms 35420 KB Output is correct
9 Correct 7 ms 35420 KB Output is correct
10 Correct 7 ms 35416 KB Output is correct
11 Correct 7 ms 35420 KB Output is correct
12 Correct 7 ms 35420 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 35416 KB Output is correct
2 Correct 7 ms 35416 KB Output is correct
3 Correct 7 ms 35416 KB Output is correct
4 Correct 8 ms 35420 KB Output is correct
5 Correct 7 ms 35420 KB Output is correct
6 Correct 7 ms 35532 KB Output is correct
7 Correct 7 ms 35416 KB Output is correct
8 Correct 7 ms 35420 KB Output is correct
9 Correct 7 ms 35420 KB Output is correct
10 Correct 7 ms 35416 KB Output is correct
11 Correct 7 ms 35420 KB Output is correct
12 Correct 7 ms 35420 KB Output is correct
13 Correct 9 ms 35676 KB Output is correct
14 Correct 9 ms 35676 KB Output is correct
15 Correct 8 ms 35672 KB Output is correct
16 Correct 10 ms 35672 KB Output is correct
17 Correct 9 ms 35528 KB Output is correct
18 Correct 8 ms 35676 KB Output is correct
19 Correct 9 ms 35676 KB Output is correct
20 Correct 9 ms 35676 KB Output is correct
21 Correct 9 ms 35524 KB Output is correct
22 Correct 9 ms 35644 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 35416 KB Output is correct
2 Correct 514 ms 58820 KB Output is correct
3 Correct 525 ms 58956 KB Output is correct
4 Correct 395 ms 60772 KB Output is correct
5 Correct 508 ms 59312 KB Output is correct
6 Correct 499 ms 59280 KB Output is correct
7 Correct 405 ms 59584 KB Output is correct
8 Correct 412 ms 59976 KB Output is correct
9 Correct 392 ms 62588 KB Output is correct

Subtask #4
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 35416 KB Output is correct
2 Correct 409 ms 68036 KB Output is correct
3 Correct 431 ms 62792 KB Output is correct
4 Correct 418 ms 62888 KB Output is correct
5 Correct 414 ms 68008 KB Output is correct
6 Correct 412 ms 63696 KB Output is correct

Subtask #5
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 697 ms 57192 KB Output is correct
2 Correct 693 ms 57192 KB Output is correct
3 Correct 764 ms 57180 KB Output is correct
4 Correct 767 ms 57188 KB Output is correct
5 Correct 612 ms 57188 KB Output is correct
6 Correct 600 ms 57184 KB Output is correct
7 Correct 487 ms 57104 KB Output is correct
8 Correct 495 ms 57316 KB Output is correct

Subtask #6
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 35416 KB Output is correct
2 Correct 7 ms 35416 KB Output is correct
3 Correct 7 ms 35416 KB Output is correct
4 Correct 8 ms 35420 KB Output is correct
5 Correct 7 ms 35420 KB Output is correct
6 Correct 7 ms 35532 KB Output is correct
7 Correct 7 ms 35416 KB Output is correct
8 Correct 7 ms 35420 KB Output is correct
9 Correct 7 ms 35420 KB Output is correct
10 Correct 7 ms 35416 KB Output is correct
11 Correct 7 ms 35420 KB Output is correct
12 Correct 7 ms 35420 KB Output is correct
13 Correct 9 ms 35676 KB Output is correct
14 Correct 9 ms 35676 KB Output is correct
15 Correct 8 ms 35672 KB Output is correct
16 Correct 10 ms 35672 KB Output is correct
17 Correct 9 ms 35528 KB Output is correct
18 Correct 8 ms 35676 KB Output is correct
19 Correct 9 ms 35676 KB Output is correct
20 Correct 9 ms 35676 KB Output is correct
21 Correct 9 ms 35524 KB Output is correct
22 Correct 9 ms 35644 KB Output is correct
23 Correct 100 ms 39380 KB Output is correct
24 Correct 114 ms 39384 KB Output is correct
25 Correct 99 ms 39368 KB Output is correct
26 Correct 85 ms 39628 KB Output is correct
27 Correct 86 ms 39624 KB Output is correct
28 Correct 109 ms 39628 KB Output is correct
29 Correct 70 ms 39636 KB Output is correct
30 Correct 78 ms 39760 KB Output is correct
31 Correct 64 ms 40456 KB Output is correct
32 Correct 89 ms 39120 KB Output is correct
33 Correct 118 ms 39432 KB Output is correct
34 Correct 109 ms 39420 KB Output is correct
35 Correct 108 ms 39652 KB Output is correct
36 Correct 104 ms 39624 KB Output is correct
37 Correct 106 ms 39540 KB Output is correct
38 Correct 109 ms 39408 KB Output is correct

Subtask #7
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 35416 KB Output is correct
2 Correct 7 ms 35416 KB Output is correct
3 Correct 7 ms 35416 KB Output is correct
4 Correct 8 ms 35420 KB Output is correct
5 Correct 7 ms 35420 KB Output is correct
6 Correct 7 ms 35532 KB Output is correct
7 Correct 7 ms 35416 KB Output is correct
8 Correct 7 ms 35420 KB Output is correct
9 Correct 7 ms 35420 KB Output is correct
10 Correct 7 ms 35416 KB Output is correct
11 Correct 7 ms 35420 KB Output is correct
12 Correct 7 ms 35420 KB Output is correct
13 Correct 9 ms 35676 KB Output is correct
14 Correct 9 ms 35676 KB Output is correct
15 Correct 8 ms 35672 KB Output is correct
16 Correct 10 ms 35672 KB Output is correct
17 Correct 9 ms 35528 KB Output is correct
18 Correct 8 ms 35676 KB Output is correct
19 Correct 9 ms 35676 KB Output is correct
20 Correct 9 ms 35676 KB Output is correct
21 Correct 9 ms 35524 KB Output is correct
22 Correct 9 ms 35644 KB Output is correct
23 Correct 514 ms 58820 KB Output is correct
24 Correct 525 ms 58956 KB Output is correct
25 Correct 395 ms 60772 KB Output is correct
26 Correct 508 ms 59312 KB Output is correct
27 Correct 499 ms 59280 KB Output is correct
28 Correct 405 ms 59584 KB Output is correct
29 Correct 412 ms 59976 KB Output is correct
30 Correct 392 ms 62588 KB Output is correct
31 Correct 409 ms 68036 KB Output is correct
32 Correct 431 ms 62792 KB Output is correct
33 Correct 418 ms 62888 KB Output is correct
34 Correct 414 ms 68008 KB Output is correct
35 Correct 412 ms 63696 KB Output is correct
36 Correct 697 ms 57192 KB Output is correct
37 Correct 693 ms 57192 KB Output is correct
38 Correct 764 ms 57180 KB Output is correct
39 Correct 767 ms 57188 KB Output is correct
40 Correct 612 ms 57188 KB Output is correct
41 Correct 600 ms 57184 KB Output is correct
42 Correct 487 ms 57104 KB Output is correct
43 Correct 495 ms 57316 KB Output is correct
44 Correct 100 ms 39380 KB Output is correct
45 Correct 114 ms 39384 KB Output is correct
46 Correct 99 ms 39368 KB Output is correct
47 Correct 85 ms 39628 KB Output is correct
48 Correct 86 ms 39624 KB Output is correct
49 Correct 109 ms 39628 KB Output is correct
50 Correct 70 ms 39636 KB Output is correct
51 Correct 78 ms 39760 KB Output is correct
52 Correct 64 ms 40456 KB Output is correct
53 Correct 89 ms 39120 KB Output is correct
54 Correct 118 ms 39432 KB Output is correct
55 Correct 109 ms 39420 KB Output is correct
56 Correct 108 ms 39652 KB Output is correct
57 Correct 104 ms 39624 KB Output is correct
58 Correct 106 ms 39540 KB Output is correct
59 Correct 109 ms 39408 KB Output is correct
60 Correct 934 ms 58948 KB Output is correct
61 Correct 863 ms 59072 KB Output is correct
62 Correct 851 ms 59072 KB Output is correct
63 Correct 617 ms 60352 KB Output is correct
64 Correct 556 ms 60340 KB Output is correct
65 Correct 628 ms 60352 KB Output is correct
66 Correct 443 ms 61628 KB Output is correct
67 Correct 436 ms 61888 KB Output is correct
68 Correct 393 ms 65200 KB Output is correct
69 Correct 508 ms 57188 KB Output is correct
70 Correct 795 ms 60004 KB Output is correct
71 Correct 830 ms 60352 KB Output is correct
72 Correct 774 ms 60676 KB Output is correct
73 Correct 765 ms 60396 KB Output is correct
74 Correct 744 ms 60812 KB Output is correct
75 Correct 766 ms 60424 KB Output is correct