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Submission #965545

# Submission time Handle Problem Language Result Execution time Memory
965545 2024-04-18T20:23:41 Z ttamx Cat Exercise (JOI23_ho_t4) C++17
100 / 100
 174 ms 38692 KB 
#include<bits/stdc++.h>

using namespace std;

const int N=2e5+5;

int n;
int a[N],pa[N],sz[N],hv[N],lv[N],hd[N],ord[N],fa[N];
vector<int> adj[N];
long long dp[N];

void dfs(int u,int p=0){
    pa[u]=p;
    sz[u]=1;
    lv[u]=lv[p]+1;
    for(auto v:adj[u])if(v!=p){
        dfs(v,u);
        sz[u]+=sz[v];
        if(sz[v]>sz[hv[u]])hv[u]=v;
    }
}

void hld(int u,int p=0){
    if(!hd[u])hd[u]=u;
    if(hv[u])hd[hv[u]]=hd[u],hld(hv[u],u);
    for(auto v:adj[u])if(v!=p&&v!=hv[u])hld(v,u);
}

int lca(int u,int v){
    while(hd[u]!=hd[v]){
        if(lv[hd[u]]<lv[hd[v]])swap(u,v);
        u=pa[hd[u]];
    }
    return lv[u]<lv[v]?u:v;
}

int dist(int u,int v){
    return lv[u]+lv[v]-2*lv[lca(u,v)];
}

int fp(int u){
    return fa[u]=fa[u]==u?u:fp(fa[u]);
}

int main(){
    cin.tie(nullptr)->sync_with_stdio(false);
    cin >> n;
    for(int i=1;i<=n;i++)cin >> a[i];
    for(int i=1;i<n;i++){
        int u,v;
        cin >> u >> v;
        adj[u].emplace_back(v);
        adj[v].emplace_back(u);
    }
    dfs(1);
    hld(1);
    iota(fa+1,fa+n+1,1);
    iota(ord+1,ord+n+1,1);
    sort(ord+1,ord+n+1,[&](int i,int j){
        return a[i]<a[j];
    });
    for(int i=1;i<=n;i++){
        int u=ord[i];
        for(auto v:adj[u])if(a[u]>a[v]){
            v=fp(v);
            dp[u]=max(dp[u],dp[v]+dist(u,v));
            fa[v]=u;
        }
    }
    cout << dp[ord[n]];
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 10588 KB Output is correct
2 Correct 2 ms 10588 KB Output is correct
3 Correct 2 ms 10588 KB Output is correct
4 Correct 2 ms 10588 KB Output is correct
5 Correct 2 ms 10584 KB Output is correct
6 Correct 2 ms 10588 KB Output is correct
7 Correct 2 ms 10588 KB Output is correct
8 Correct 3 ms 10588 KB Output is correct
9 Correct 2 ms 10588 KB Output is correct
10 Correct 2 ms 10588 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 10588 KB Output is correct
2 Correct 2 ms 10588 KB Output is correct
3 Correct 2 ms 10588 KB Output is correct
4 Correct 2 ms 10588 KB Output is correct
5 Correct 2 ms 10584 KB Output is correct
6 Correct 2 ms 10588 KB Output is correct
7 Correct 2 ms 10588 KB Output is correct
8 Correct 3 ms 10588 KB Output is correct
9 Correct 2 ms 10588 KB Output is correct
10 Correct 2 ms 10588 KB Output is correct
11 Correct 2 ms 10588 KB Output is correct
12 Correct 2 ms 10588 KB Output is correct
13 Correct 2 ms 10588 KB Output is correct
14 Correct 2 ms 10584 KB Output is correct
15 Correct 2 ms 10588 KB Output is correct
16 Correct 2 ms 10584 KB Output is correct
17 Correct 2 ms 10588 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 10588 KB Output is correct
2 Correct 2 ms 10588 KB Output is correct
3 Correct 2 ms 10588 KB Output is correct
4 Correct 2 ms 10588 KB Output is correct
5 Correct 2 ms 10584 KB Output is correct
6 Correct 2 ms 10588 KB Output is correct
7 Correct 2 ms 10588 KB Output is correct
8 Correct 3 ms 10588 KB Output is correct
9 Correct 2 ms 10588 KB Output is correct
10 Correct 2 ms 10588 KB Output is correct
11 Correct 2 ms 10588 KB Output is correct
12 Correct 2 ms 10588 KB Output is correct
13 Correct 2 ms 10588 KB Output is correct
14 Correct 2 ms 10584 KB Output is correct
15 Correct 2 ms 10588 KB Output is correct
16 Correct 2 ms 10584 KB Output is correct
17 Correct 2 ms 10588 KB Output is correct
18 Correct 4 ms 11356 KB Output is correct
19 Correct 4 ms 11352 KB Output is correct
20 Correct 3 ms 11356 KB Output is correct
21 Correct 4 ms 11356 KB Output is correct
22 Correct 7 ms 11356 KB Output is correct
23 Correct 4 ms 11356 KB Output is correct
24 Correct 3 ms 11352 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 10588 KB Output is correct
2 Correct 2 ms 10588 KB Output is correct
3 Correct 2 ms 10588 KB Output is correct
4 Correct 2 ms 10588 KB Output is correct
5 Correct 2 ms 10584 KB Output is correct
6 Correct 2 ms 10588 KB Output is correct
7 Correct 2 ms 10588 KB Output is correct
8 Correct 3 ms 10588 KB Output is correct
9 Correct 2 ms 10588 KB Output is correct
10 Correct 2 ms 10588 KB Output is correct
11 Correct 2 ms 10588 KB Output is correct
12 Correct 2 ms 10588 KB Output is correct
13 Correct 2 ms 10588 KB Output is correct
14 Correct 2 ms 10584 KB Output is correct
15 Correct 2 ms 10588 KB Output is correct
16 Correct 2 ms 10584 KB Output is correct
17 Correct 2 ms 10588 KB Output is correct
18 Correct 4 ms 11356 KB Output is correct
19 Correct 4 ms 11352 KB Output is correct
20 Correct 3 ms 11356 KB Output is correct
21 Correct 4 ms 11356 KB Output is correct
22 Correct 7 ms 11356 KB Output is correct
23 Correct 4 ms 11356 KB Output is correct
24 Correct 3 ms 11352 KB Output is correct
25 Correct 3 ms 10588 KB Output is correct
26 Correct 4 ms 11100 KB Output is correct
27 Correct 5 ms 11100 KB Output is correct
28 Correct 4 ms 11100 KB Output is correct
29 Correct 4 ms 11100 KB Output is correct
30 Correct 4 ms 10844 KB Output is correct
31 Correct 4 ms 10844 KB Output is correct
32 Correct 5 ms 10840 KB Output is correct
33 Correct 4 ms 10844 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 10588 KB Output is correct
2 Correct 2 ms 10588 KB Output is correct
3 Correct 2 ms 10588 KB Output is correct
4 Correct 2 ms 10588 KB Output is correct
5 Correct 2 ms 10584 KB Output is correct
6 Correct 2 ms 10588 KB Output is correct
7 Correct 2 ms 10588 KB Output is correct
8 Correct 3 ms 10588 KB Output is correct
9 Correct 2 ms 10588 KB Output is correct
10 Correct 2 ms 10588 KB Output is correct
11 Correct 2 ms 10588 KB Output is correct
12 Correct 2 ms 10588 KB Output is correct
13 Correct 2 ms 10588 KB Output is correct
14 Correct 2 ms 10584 KB Output is correct
15 Correct 2 ms 10588 KB Output is correct
16 Correct 2 ms 10584 KB Output is correct
17 Correct 2 ms 10588 KB Output is correct
18 Correct 4 ms 11356 KB Output is correct
19 Correct 4 ms 11352 KB Output is correct
20 Correct 3 ms 11356 KB Output is correct
21 Correct 4 ms 11356 KB Output is correct
22 Correct 7 ms 11356 KB Output is correct
23 Correct 4 ms 11356 KB Output is correct
24 Correct 3 ms 11352 KB Output is correct
25 Correct 87 ms 34644 KB Output is correct
26 Correct 83 ms 38628 KB Output is correct
27 Correct 86 ms 38548 KB Output is correct
28 Correct 117 ms 38660 KB Output is correct
29 Correct 114 ms 38616 KB Output is correct
30 Correct 113 ms 38692 KB Output is correct
31 Correct 120 ms 38480 KB Output is correct

Subtask #6
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 10588 KB Output is correct
2 Correct 2 ms 10588 KB Output is correct
3 Correct 106 ms 19044 KB Output is correct
4 Correct 118 ms 19052 KB Output is correct
5 Correct 124 ms 19012 KB Output is correct

Subtask #7
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 10588 KB Output is correct
2 Correct 2 ms 10588 KB Output is correct
3 Correct 2 ms 10588 KB Output is correct
4 Correct 2 ms 10588 KB Output is correct
5 Correct 2 ms 10584 KB Output is correct
6 Correct 2 ms 10588 KB Output is correct
7 Correct 2 ms 10588 KB Output is correct
8 Correct 3 ms 10588 KB Output is correct
9 Correct 2 ms 10588 KB Output is correct
10 Correct 2 ms 10588 KB Output is correct
11 Correct 2 ms 10588 KB Output is correct
12 Correct 2 ms 10588 KB Output is correct
13 Correct 2 ms 10588 KB Output is correct
14 Correct 2 ms 10584 KB Output is correct
15 Correct 2 ms 10588 KB Output is correct
16 Correct 2 ms 10584 KB Output is correct
17 Correct 2 ms 10588 KB Output is correct
18 Correct 4 ms 11356 KB Output is correct
19 Correct 4 ms 11352 KB Output is correct
20 Correct 3 ms 11356 KB Output is correct
21 Correct 4 ms 11356 KB Output is correct
22 Correct 7 ms 11356 KB Output is correct
23 Correct 4 ms 11356 KB Output is correct
24 Correct 3 ms 11352 KB Output is correct
25 Correct 3 ms 10588 KB Output is correct
26 Correct 4 ms 11100 KB Output is correct
27 Correct 5 ms 11100 KB Output is correct
28 Correct 4 ms 11100 KB Output is correct
29 Correct 4 ms 11100 KB Output is correct
30 Correct 4 ms 10844 KB Output is correct
31 Correct 4 ms 10844 KB Output is correct
32 Correct 5 ms 10840 KB Output is correct
33 Correct 4 ms 10844 KB Output is correct
34 Correct 87 ms 34644 KB Output is correct
35 Correct 83 ms 38628 KB Output is correct
36 Correct 86 ms 38548 KB Output is correct
37 Correct 117 ms 38660 KB Output is correct
38 Correct 114 ms 38616 KB Output is correct
39 Correct 113 ms 38692 KB Output is correct
40 Correct 120 ms 38480 KB Output is correct
41 Correct 2 ms 10588 KB Output is correct
42 Correct 2 ms 10588 KB Output is correct
43 Correct 106 ms 19044 KB Output is correct
44 Correct 118 ms 19052 KB Output is correct
45 Correct 124 ms 19012 KB Output is correct
46 Correct 124 ms 31416 KB Output is correct
47 Correct 137 ms 30040 KB Output is correct
48 Correct 133 ms 32284 KB Output is correct
49 Correct 141 ms 30168 KB Output is correct
50 Correct 172 ms 23020 KB Output is correct
51 Correct 140 ms 23020 KB Output is correct
52 Correct 141 ms 23112 KB Output is correct
53 Correct 174 ms 23120 KB Output is correct