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Submission #860693

# Submission time Handle Problem Language Result Execution time Memory
860693 2023-10-13T19:20:59 Z epicci23 Cat Exercise (JOI23_ho_t4) C++17
100 / 100
 323 ms 88556 KB 
#include "bits/stdc++.h"
using namespace std;
#define pb push_back
#define endl "\n" 
#define int long long
#define sz(x) ((int)(x).size())
#define all(x) (x).begin(),(x).end()

const int N = 2e5 + 10;
const int LOG = 20;

int lift[N][LOG];
int depth[N];
int ar[N];
vector<int> v[N];
vector<array<int,2>> v2[N];

void dfs(int c,int p,int d){
  depth[c]=d;
  lift[c][0]=p;
  for(int i=1;i<LOG;i++) lift[c][i]=lift[lift[c][i-1]][i-1];

  for(int x:v[c]){
  	if(x==p) continue;
  	dfs(x,c,d+1);
  }
}

int kth_par(int a,int x){
  for(int i=0;i<LOG;i++) if(x>>i&1) a=lift[a][i];
  return a;
}

int lca(int a,int b){
  if(depth[a]<depth[b]) swap(a,b);
  a=kth_par(a,depth[a]-depth[b]);
  if(a==b) return a;
  for(int i=LOG-1;i>=0;i--){
  	if(lift[a][i]!=lift[b][i]){
  	  a=lift[a][i];
  	  b=lift[b][i];
  	}
  }
  return lift[a][0];
}

int dist(int a,int b){
 return depth[a] + depth[b] - 2*depth[lca(a,b)];
}

int par[N];
int siz[N];
int val[N];

int find(int a){
  if(a==par[a]) return a;
  return par[a]=find(par[a]);
}

void merge(int a,int b){
  a=find(par[a]),b=find(par[b]);
  if(a==b) return;
 
  if(siz[a]>siz[b]) swap(a,b);

  siz[b]+=siz[a];
  par[a]=b;
  if(ar[val[a]]>ar[val[b]]) val[b]=val[a];
}

int dp[N];

void dfs2(int c,int p){
  for(auto x:v2[c]){
  	if(x[1]==p) continue;
  	dfs2(x[1],c);
    dp[c]=max(dp[c],x[0]+dp[x[1]]);
  }
 // cout << "c: " << c << " " << dp[c] << endl;
}

void solve(){
  int n;
  cin >> n;
  for(int i=1;i<=n;i++) cin >> ar[i];
  
  int xd[n+1];
  vector<int> act(n+1,0);
  for(int i=1;i<=n;i++) xd[ar[i]]=i;

  for(int i=1;i<n;i++){
  	int a,b;
  	cin >> a >> b;
  	v[a].pb(b);
  	v[b].pb(a);
  }
  
  for(int i=1;i<=n;i++){
  	val[i]=i;
  	siz[i]=1;
  	par[i]=i;
  }

  dfs(1,0,0);
   
  for(int i=1;i<=n;i++){
    int u = xd[i];
    act[u] = 1;
    for(int x:v[u]){
      if(!act[x]) continue;
      int w = val[find(x)];
      v2[u].pb({dist(u,w),w});
      v2[w].pb({dist(u,w),u});
      // cout << "new: " << u << " " << w << " " << dist(u,w) << endl; 
    }
    for(int x:v[u]){
      if(!act[x]) continue;
      merge(x,u);
    }
  }
  

  dfs2(xd[n],0); 

  cout << dp[xd[n]] << endl;

}

int32_t main(){

  cin.tie(0); ios::sync_with_stdio(0);
  
  int t=1;//cin >> t;
  while(t--) solve();

  return 0;
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 20828 KB Output is correct
2 Correct 4 ms 20828 KB Output is correct
3 Correct 3 ms 20828 KB Output is correct
4 Correct 4 ms 20912 KB Output is correct
5 Correct 3 ms 20980 KB Output is correct
6 Correct 3 ms 20828 KB Output is correct
7 Correct 3 ms 20828 KB Output is correct
8 Correct 4 ms 20928 KB Output is correct
9 Correct 3 ms 20824 KB Output is correct
10 Correct 3 ms 20828 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 20828 KB Output is correct
2 Correct 4 ms 20828 KB Output is correct
3 Correct 3 ms 20828 KB Output is correct
4 Correct 4 ms 20912 KB Output is correct
5 Correct 3 ms 20980 KB Output is correct
6 Correct 3 ms 20828 KB Output is correct
7 Correct 3 ms 20828 KB Output is correct
8 Correct 4 ms 20928 KB Output is correct
9 Correct 3 ms 20824 KB Output is correct
10 Correct 3 ms 20828 KB Output is correct
11 Correct 4 ms 20828 KB Output is correct
12 Correct 3 ms 20828 KB Output is correct
13 Correct 3 ms 20968 KB Output is correct
14 Correct 4 ms 20916 KB Output is correct
15 Correct 4 ms 20920 KB Output is correct
16 Correct 3 ms 20828 KB Output is correct
17 Correct 4 ms 20828 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 20828 KB Output is correct
2 Correct 4 ms 20828 KB Output is correct
3 Correct 3 ms 20828 KB Output is correct
4 Correct 4 ms 20912 KB Output is correct
5 Correct 3 ms 20980 KB Output is correct
6 Correct 3 ms 20828 KB Output is correct
7 Correct 3 ms 20828 KB Output is correct
8 Correct 4 ms 20928 KB Output is correct
9 Correct 3 ms 20824 KB Output is correct
10 Correct 3 ms 20828 KB Output is correct
11 Correct 4 ms 20828 KB Output is correct
12 Correct 3 ms 20828 KB Output is correct
13 Correct 3 ms 20968 KB Output is correct
14 Correct 4 ms 20916 KB Output is correct
15 Correct 4 ms 20920 KB Output is correct
16 Correct 3 ms 20828 KB Output is correct
17 Correct 4 ms 20828 KB Output is correct
18 Correct 6 ms 21912 KB Output is correct
19 Correct 7 ms 21852 KB Output is correct
20 Correct 6 ms 21852 KB Output is correct
21 Correct 6 ms 21744 KB Output is correct
22 Correct 6 ms 21596 KB Output is correct
23 Correct 7 ms 21788 KB Output is correct
24 Correct 6 ms 21596 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 20828 KB Output is correct
2 Correct 4 ms 20828 KB Output is correct
3 Correct 3 ms 20828 KB Output is correct
4 Correct 4 ms 20912 KB Output is correct
5 Correct 3 ms 20980 KB Output is correct
6 Correct 3 ms 20828 KB Output is correct
7 Correct 3 ms 20828 KB Output is correct
8 Correct 4 ms 20928 KB Output is correct
9 Correct 3 ms 20824 KB Output is correct
10 Correct 3 ms 20828 KB Output is correct
11 Correct 4 ms 20828 KB Output is correct
12 Correct 3 ms 20828 KB Output is correct
13 Correct 3 ms 20968 KB Output is correct
14 Correct 4 ms 20916 KB Output is correct
15 Correct 4 ms 20920 KB Output is correct
16 Correct 3 ms 20828 KB Output is correct
17 Correct 4 ms 20828 KB Output is correct
18 Correct 6 ms 21912 KB Output is correct
19 Correct 7 ms 21852 KB Output is correct
20 Correct 6 ms 21852 KB Output is correct
21 Correct 6 ms 21744 KB Output is correct
22 Correct 6 ms 21596 KB Output is correct
23 Correct 7 ms 21788 KB Output is correct
24 Correct 6 ms 21596 KB Output is correct
25 Correct 3 ms 20828 KB Output is correct
26 Correct 6 ms 21852 KB Output is correct
27 Correct 7 ms 21860 KB Output is correct
28 Correct 6 ms 21848 KB Output is correct
29 Correct 6 ms 21852 KB Output is correct
30 Correct 6 ms 21596 KB Output is correct
31 Correct 6 ms 21592 KB Output is correct
32 Correct 7 ms 21548 KB Output is correct
33 Correct 7 ms 21596 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 20828 KB Output is correct
2 Correct 4 ms 20828 KB Output is correct
3 Correct 3 ms 20828 KB Output is correct
4 Correct 4 ms 20912 KB Output is correct
5 Correct 3 ms 20980 KB Output is correct
6 Correct 3 ms 20828 KB Output is correct
7 Correct 3 ms 20828 KB Output is correct
8 Correct 4 ms 20928 KB Output is correct
9 Correct 3 ms 20824 KB Output is correct
10 Correct 3 ms 20828 KB Output is correct
11 Correct 4 ms 20828 KB Output is correct
12 Correct 3 ms 20828 KB Output is correct
13 Correct 3 ms 20968 KB Output is correct
14 Correct 4 ms 20916 KB Output is correct
15 Correct 4 ms 20920 KB Output is correct
16 Correct 3 ms 20828 KB Output is correct
17 Correct 4 ms 20828 KB Output is correct
18 Correct 6 ms 21912 KB Output is correct
19 Correct 7 ms 21852 KB Output is correct
20 Correct 6 ms 21852 KB Output is correct
21 Correct 6 ms 21744 KB Output is correct
22 Correct 6 ms 21596 KB Output is correct
23 Correct 7 ms 21788 KB Output is correct
24 Correct 6 ms 21596 KB Output is correct
25 Correct 153 ms 88556 KB Output is correct
26 Correct 156 ms 87504 KB Output is correct
27 Correct 143 ms 87508 KB Output is correct
28 Correct 215 ms 83788 KB Output is correct
29 Correct 223 ms 83804 KB Output is correct
30 Correct 219 ms 84036 KB Output is correct
31 Correct 235 ms 83728 KB Output is correct

Subtask #6
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 20828 KB Output is correct
2 Correct 4 ms 20828 KB Output is correct
3 Correct 242 ms 76028 KB Output is correct
4 Correct 227 ms 76112 KB Output is correct
5 Correct 239 ms 75860 KB Output is correct

Subtask #7
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 20828 KB Output is correct
2 Correct 4 ms 20828 KB Output is correct
3 Correct 3 ms 20828 KB Output is correct
4 Correct 4 ms 20912 KB Output is correct
5 Correct 3 ms 20980 KB Output is correct
6 Correct 3 ms 20828 KB Output is correct
7 Correct 3 ms 20828 KB Output is correct
8 Correct 4 ms 20928 KB Output is correct
9 Correct 3 ms 20824 KB Output is correct
10 Correct 3 ms 20828 KB Output is correct
11 Correct 4 ms 20828 KB Output is correct
12 Correct 3 ms 20828 KB Output is correct
13 Correct 3 ms 20968 KB Output is correct
14 Correct 4 ms 20916 KB Output is correct
15 Correct 4 ms 20920 KB Output is correct
16 Correct 3 ms 20828 KB Output is correct
17 Correct 4 ms 20828 KB Output is correct
18 Correct 6 ms 21912 KB Output is correct
19 Correct 7 ms 21852 KB Output is correct
20 Correct 6 ms 21852 KB Output is correct
21 Correct 6 ms 21744 KB Output is correct
22 Correct 6 ms 21596 KB Output is correct
23 Correct 7 ms 21788 KB Output is correct
24 Correct 6 ms 21596 KB Output is correct
25 Correct 3 ms 20828 KB Output is correct
26 Correct 6 ms 21852 KB Output is correct
27 Correct 7 ms 21860 KB Output is correct
28 Correct 6 ms 21848 KB Output is correct
29 Correct 6 ms 21852 KB Output is correct
30 Correct 6 ms 21596 KB Output is correct
31 Correct 6 ms 21592 KB Output is correct
32 Correct 7 ms 21548 KB Output is correct
33 Correct 7 ms 21596 KB Output is correct
34 Correct 153 ms 88556 KB Output is correct
35 Correct 156 ms 87504 KB Output is correct
36 Correct 143 ms 87508 KB Output is correct
37 Correct 215 ms 83788 KB Output is correct
38 Correct 223 ms 83804 KB Output is correct
39 Correct 219 ms 84036 KB Output is correct
40 Correct 235 ms 83728 KB Output is correct
41 Correct 3 ms 20828 KB Output is correct
42 Correct 4 ms 20828 KB Output is correct
43 Correct 242 ms 76028 KB Output is correct
44 Correct 227 ms 76112 KB Output is correct
45 Correct 239 ms 75860 KB Output is correct
46 Correct 299 ms 84988 KB Output is correct
47 Correct 323 ms 84928 KB Output is correct
48 Correct 316 ms 84812 KB Output is correct
49 Correct 296 ms 84888 KB Output is correct
50 Correct 289 ms 75004 KB Output is correct
51 Correct 318 ms 75088 KB Output is correct
52 Correct 315 ms 74832 KB Output is correct
53 Correct 302 ms 75092 KB Output is correct