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Submission #1039785

# Submission time Handle Problem Language Result Execution time Memory
1039785 2024-07-31T08:57:14 Z vjudge1 Cat Exercise (JOI23_ho_t4) C++17
100 / 100
 235 ms 48080 KB 
#include<bits/stdc++.h>
using namespace std;
#define ll long long
#define ld long double
#define pii pair<int,int>
#define pll pair<ll,ll>
#define fi first
#define se second
const int maxN=2e5+5,LG=__lg(maxN)+5;
const ll inf=2e18;
int n,a[maxN+1],h[maxN+1],up[maxN+1][LG+1],root;
ll dp[maxN+1];
vector<int> adj[maxN+1],vec;
void dfs(int u)
{
    for(auto v:adj[u])
    {
        if(v==up[u][0])
        {
            continue;
        }
        up[v][0]=u;
        h[v]=h[u]+1;
        for(int j=1;j<=LG;j++)
        {
            up[v][j]=up[up[v][j-1]][j-1];
        }
        dfs(v);
    }
}
int lca(int u,int v)
{
    if(h[u]<h[v])
    {
        swap(u,v);
    }
    for(int j=LG;j>=0;j--)
    {
        if(h[up[u][j]]>=h[v])
        {
            u=up[u][j];
        }
    }
    if(u==v)
    {
        return u;
    }
    for(int j=LG;j>=0;j--)
    {
        if(up[u][j]!=up[v][j])
        {
            u=up[u][j];
            v=up[v][j];
        }
    }
    return up[u][0];
}
struct dsu
{
    int parent[maxN+1],mx[maxN+1],pos[maxN+1];
    dsu()
    {
        memset(parent,-1,sizeof(parent));
        memset(mx,0,sizeof(mx));
        memset(pos,-1,sizeof(pos));
    }
    int Find(int v)
    {
        if(parent[v]<0)
        {
            return v;
        }
        return parent[v]=Find(parent[v]);
    }
    void Union(int a,int b)
    {
        a=Find(a);
        b=Find(b);
        if(a!=b)
        {
            if(-parent[a]<-parent[b])
            {
                swap(a,b);
            }
            parent[a]+=parent[b];
            parent[b]=a;
            if(mx[a]<mx[b])
            {
                mx[a]=mx[b];
                pos[a]=pos[b];
            }
        }
    }
}ds;
int get(int u,int v)
{
    int p=lca(u,v);
    return h[u]+h[v]-2*h[p];
}
int main()
{
    //freopen("","r",stdin);
    //freopen("","w",stdout);
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    cin>>n;
    for(int i=1;i<=n;i++)
    {
        cin>>a[i];
        vec.push_back(i);
        ds.mx[i]=a[i];
        ds.pos[i]=i;
        if(a[i]==n)
        {
            root=i;
        }
    }
    for(int i=1;i<n;i++)
    {
        int u,v;
        cin>>u>>v;
        adj[u].push_back(v);
        adj[v].push_back(u);
    }
    h[root]=1;
    dfs(root);
    sort(vec.begin(),vec.end(),[&](int x,int y)
    {
        return a[x]<a[y];
    });
    memset(dp,0,sizeof(dp));
    for(auto u:vec)
    {
        //cout<<u<<'\n';
        for(auto v:adj[u])
        {
            int pos_v=ds.pos[ds.Find(v)];
            if(a[pos_v]>a[u])
            {
                continue;
            }
            dp[u]=max(dp[u],dp[pos_v]+get(u,pos_v));
            //cout<<v<<" "<<pos_v<<" "<<dp[u]<<'\n';
            ds.Union(u,v);
        }
    }
    cout<<dp[root];
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12888 KB Output is correct
2 Correct 2 ms 12892 KB Output is correct
3 Correct 1 ms 12892 KB Output is correct
4 Correct 2 ms 12892 KB Output is correct
5 Correct 2 ms 12892 KB Output is correct
6 Correct 2 ms 12892 KB Output is correct
7 Correct 2 ms 12892 KB Output is correct
8 Correct 2 ms 12892 KB Output is correct
9 Correct 2 ms 12892 KB Output is correct
10 Correct 2 ms 12892 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12888 KB Output is correct
2 Correct 2 ms 12892 KB Output is correct
3 Correct 1 ms 12892 KB Output is correct
4 Correct 2 ms 12892 KB Output is correct
5 Correct 2 ms 12892 KB Output is correct
6 Correct 2 ms 12892 KB Output is correct
7 Correct 2 ms 12892 KB Output is correct
8 Correct 2 ms 12892 KB Output is correct
9 Correct 2 ms 12892 KB Output is correct
10 Correct 2 ms 12892 KB Output is correct
11 Correct 2 ms 12892 KB Output is correct
12 Correct 2 ms 12892 KB Output is correct
13 Correct 2 ms 12892 KB Output is correct
14 Correct 2 ms 12892 KB Output is correct
15 Correct 2 ms 12892 KB Output is correct
16 Correct 2 ms 12976 KB Output is correct
17 Correct 2 ms 12892 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12888 KB Output is correct
2 Correct 2 ms 12892 KB Output is correct
3 Correct 1 ms 12892 KB Output is correct
4 Correct 2 ms 12892 KB Output is correct
5 Correct 2 ms 12892 KB Output is correct
6 Correct 2 ms 12892 KB Output is correct
7 Correct 2 ms 12892 KB Output is correct
8 Correct 2 ms 12892 KB Output is correct
9 Correct 2 ms 12892 KB Output is correct
10 Correct 2 ms 12892 KB Output is correct
11 Correct 2 ms 12892 KB Output is correct
12 Correct 2 ms 12892 KB Output is correct
13 Correct 2 ms 12892 KB Output is correct
14 Correct 2 ms 12892 KB Output is correct
15 Correct 2 ms 12892 KB Output is correct
16 Correct 2 ms 12976 KB Output is correct
17 Correct 2 ms 12892 KB Output is correct
18 Correct 4 ms 13400 KB Output is correct
19 Correct 4 ms 13404 KB Output is correct
20 Correct 6 ms 13468 KB Output is correct
21 Correct 4 ms 13404 KB Output is correct
22 Correct 4 ms 13148 KB Output is correct
23 Correct 4 ms 13148 KB Output is correct
24 Correct 6 ms 13148 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12888 KB Output is correct
2 Correct 2 ms 12892 KB Output is correct
3 Correct 1 ms 12892 KB Output is correct
4 Correct 2 ms 12892 KB Output is correct
5 Correct 2 ms 12892 KB Output is correct
6 Correct 2 ms 12892 KB Output is correct
7 Correct 2 ms 12892 KB Output is correct
8 Correct 2 ms 12892 KB Output is correct
9 Correct 2 ms 12892 KB Output is correct
10 Correct 2 ms 12892 KB Output is correct
11 Correct 2 ms 12892 KB Output is correct
12 Correct 2 ms 12892 KB Output is correct
13 Correct 2 ms 12892 KB Output is correct
14 Correct 2 ms 12892 KB Output is correct
15 Correct 2 ms 12892 KB Output is correct
16 Correct 2 ms 12976 KB Output is correct
17 Correct 2 ms 12892 KB Output is correct
18 Correct 4 ms 13400 KB Output is correct
19 Correct 4 ms 13404 KB Output is correct
20 Correct 6 ms 13468 KB Output is correct
21 Correct 4 ms 13404 KB Output is correct
22 Correct 4 ms 13148 KB Output is correct
23 Correct 4 ms 13148 KB Output is correct
24 Correct 6 ms 13148 KB Output is correct
25 Correct 2 ms 12888 KB Output is correct
26 Correct 4 ms 13148 KB Output is correct
27 Correct 4 ms 13376 KB Output is correct
28 Correct 4 ms 13404 KB Output is correct
29 Correct 4 ms 13236 KB Output is correct
30 Correct 4 ms 13148 KB Output is correct
31 Correct 4 ms 13148 KB Output is correct
32 Correct 4 ms 13152 KB Output is correct
33 Correct 4 ms 13156 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12888 KB Output is correct
2 Correct 2 ms 12892 KB Output is correct
3 Correct 1 ms 12892 KB Output is correct
4 Correct 2 ms 12892 KB Output is correct
5 Correct 2 ms 12892 KB Output is correct
6 Correct 2 ms 12892 KB Output is correct
7 Correct 2 ms 12892 KB Output is correct
8 Correct 2 ms 12892 KB Output is correct
9 Correct 2 ms 12892 KB Output is correct
10 Correct 2 ms 12892 KB Output is correct
11 Correct 2 ms 12892 KB Output is correct
12 Correct 2 ms 12892 KB Output is correct
13 Correct 2 ms 12892 KB Output is correct
14 Correct 2 ms 12892 KB Output is correct
15 Correct 2 ms 12892 KB Output is correct
16 Correct 2 ms 12976 KB Output is correct
17 Correct 2 ms 12892 KB Output is correct
18 Correct 4 ms 13400 KB Output is correct
19 Correct 4 ms 13404 KB Output is correct
20 Correct 6 ms 13468 KB Output is correct
21 Correct 4 ms 13404 KB Output is correct
22 Correct 4 ms 13148 KB Output is correct
23 Correct 4 ms 13148 KB Output is correct
24 Correct 6 ms 13148 KB Output is correct
25 Correct 106 ms 48080 KB Output is correct
26 Correct 113 ms 48076 KB Output is correct
27 Correct 107 ms 48080 KB Output is correct
28 Correct 143 ms 45004 KB Output is correct
29 Correct 140 ms 46544 KB Output is correct
30 Correct 153 ms 46288 KB Output is correct
31 Correct 139 ms 46792 KB Output is correct

Subtask #6
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12892 KB Output is correct
2 Correct 2 ms 12892 KB Output is correct
3 Correct 135 ms 35480 KB Output is correct
4 Correct 120 ms 35464 KB Output is correct
5 Correct 128 ms 35536 KB Output is correct

Subtask #7
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12888 KB Output is correct
2 Correct 2 ms 12892 KB Output is correct
3 Correct 1 ms 12892 KB Output is correct
4 Correct 2 ms 12892 KB Output is correct
5 Correct 2 ms 12892 KB Output is correct
6 Correct 2 ms 12892 KB Output is correct
7 Correct 2 ms 12892 KB Output is correct
8 Correct 2 ms 12892 KB Output is correct
9 Correct 2 ms 12892 KB Output is correct
10 Correct 2 ms 12892 KB Output is correct
11 Correct 2 ms 12892 KB Output is correct
12 Correct 2 ms 12892 KB Output is correct
13 Correct 2 ms 12892 KB Output is correct
14 Correct 2 ms 12892 KB Output is correct
15 Correct 2 ms 12892 KB Output is correct
16 Correct 2 ms 12976 KB Output is correct
17 Correct 2 ms 12892 KB Output is correct
18 Correct 4 ms 13400 KB Output is correct
19 Correct 4 ms 13404 KB Output is correct
20 Correct 6 ms 13468 KB Output is correct
21 Correct 4 ms 13404 KB Output is correct
22 Correct 4 ms 13148 KB Output is correct
23 Correct 4 ms 13148 KB Output is correct
24 Correct 6 ms 13148 KB Output is correct
25 Correct 2 ms 12888 KB Output is correct
26 Correct 4 ms 13148 KB Output is correct
27 Correct 4 ms 13376 KB Output is correct
28 Correct 4 ms 13404 KB Output is correct
29 Correct 4 ms 13236 KB Output is correct
30 Correct 4 ms 13148 KB Output is correct
31 Correct 4 ms 13148 KB Output is correct
32 Correct 4 ms 13152 KB Output is correct
33 Correct 4 ms 13156 KB Output is correct
34 Correct 106 ms 48080 KB Output is correct
35 Correct 113 ms 48076 KB Output is correct
36 Correct 107 ms 48080 KB Output is correct
37 Correct 143 ms 45004 KB Output is correct
38 Correct 140 ms 46544 KB Output is correct
39 Correct 153 ms 46288 KB Output is correct
40 Correct 139 ms 46792 KB Output is correct
41 Correct 2 ms 12892 KB Output is correct
42 Correct 2 ms 12892 KB Output is correct
43 Correct 135 ms 35480 KB Output is correct
44 Correct 120 ms 35464 KB Output is correct
45 Correct 128 ms 35536 KB Output is correct
46 Correct 206 ms 44236 KB Output is correct
47 Correct 190 ms 44232 KB Output is correct
48 Correct 181 ms 45520 KB Output is correct
49 Correct 231 ms 44232 KB Output is correct
50 Correct 235 ms 35904 KB Output is correct
51 Correct 171 ms 35684 KB Output is correct
52 Correct 174 ms 35792 KB Output is correct
53 Correct 162 ms 35784 KB Output is correct