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답안 #1039784

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
1039784 2024-07-31T08:56:45 Z DucNguyen2007 Cat Exercise (JOI23_ho_t4) C++14
100 / 100
 216 ms 51916 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

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 12888 KB Output is correct
2 Correct 2 ms 12892 KB Output is correct
3 Correct 2 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 12888 KB Output is correct

Subtask #2
7.0 / 7.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 12888 KB Output is correct
2 Correct 2 ms 12892 KB Output is correct
3 Correct 2 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 12888 KB Output is correct
11 Correct 2 ms 12888 KB Output is correct
12 Correct 2 ms 12892 KB Output is correct
13 Correct 2 ms 12892 KB Output is correct
14 Correct 3 ms 12892 KB Output is correct
15 Correct 2 ms 12892 KB Output is correct
16 Correct 3 ms 12888 KB Output is correct
17 Correct 2 ms 12888 KB Output is correct

Subtask #3
7.0 / 7.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 12888 KB Output is correct
2 Correct 2 ms 12892 KB Output is correct
3 Correct 2 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 12888 KB Output is correct
11 Correct 2 ms 12888 KB Output is correct
12 Correct 2 ms 12892 KB Output is correct
13 Correct 2 ms 12892 KB Output is correct
14 Correct 3 ms 12892 KB Output is correct
15 Correct 2 ms 12892 KB Output is correct
16 Correct 3 ms 12888 KB Output is correct
17 Correct 2 ms 12888 KB Output is correct
18 Correct 4 ms 13404 KB Output is correct
19 Correct 4 ms 13404 KB Output is correct
20 Correct 4 ms 13464 KB Output is correct
21 Correct 4 ms 13400 KB Output is correct
22 Correct 4 ms 13148 KB Output is correct
23 Correct 4 ms 13148 KB Output is correct
24 Correct 4 ms 13148 KB Output is correct

Subtask #4
10.0 / 10.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 12888 KB Output is correct
2 Correct 2 ms 12892 KB Output is correct
3 Correct 2 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 12888 KB Output is correct
11 Correct 2 ms 12888 KB Output is correct
12 Correct 2 ms 12892 KB Output is correct
13 Correct 2 ms 12892 KB Output is correct
14 Correct 3 ms 12892 KB Output is correct
15 Correct 2 ms 12892 KB Output is correct
16 Correct 3 ms 12888 KB Output is correct
17 Correct 2 ms 12888 KB Output is correct
18 Correct 4 ms 13404 KB Output is correct
19 Correct 4 ms 13404 KB Output is correct
20 Correct 4 ms 13464 KB Output is correct
21 Correct 4 ms 13400 KB Output is correct
22 Correct 4 ms 13148 KB Output is correct
23 Correct 4 ms 13148 KB Output is correct
24 Correct 4 ms 13148 KB Output is correct
25 Correct 2 ms 12892 KB Output is correct
26 Correct 4 ms 13148 KB Output is correct
27 Correct 4 ms 13148 KB Output is correct
28 Correct 4 ms 13404 KB Output is correct
29 Correct 4 ms 13148 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 13148 KB Output is correct
33 Correct 4 ms 13148 KB Output is correct

Subtask #5
20.0 / 20.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 12888 KB Output is correct
2 Correct 2 ms 12892 KB Output is correct
3 Correct 2 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 12888 KB Output is correct
11 Correct 2 ms 12888 KB Output is correct
12 Correct 2 ms 12892 KB Output is correct
13 Correct 2 ms 12892 KB Output is correct
14 Correct 3 ms 12892 KB Output is correct
15 Correct 2 ms 12892 KB Output is correct
16 Correct 3 ms 12888 KB Output is correct
17 Correct 2 ms 12888 KB Output is correct
18 Correct 4 ms 13404 KB Output is correct
19 Correct 4 ms 13404 KB Output is correct
20 Correct 4 ms 13464 KB Output is correct
21 Correct 4 ms 13400 KB Output is correct
22 Correct 4 ms 13148 KB Output is correct
23 Correct 4 ms 13148 KB Output is correct
24 Correct 4 ms 13148 KB Output is correct
25 Correct 107 ms 48076 KB Output is correct
26 Correct 118 ms 51736 KB Output is correct
27 Correct 126 ms 51916 KB Output is correct
28 Correct 152 ms 48588 KB Output is correct
29 Correct 154 ms 50472 KB Output is correct
30 Correct 166 ms 49864 KB Output is correct
31 Correct 146 ms 50692 KB Output is correct

Subtask #6
23.0 / 23.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 12892 KB Output is correct
2 Correct 2 ms 12892 KB Output is correct
3 Correct 134 ms 35544 KB Output is correct
4 Correct 126 ms 35532 KB Output is correct
5 Correct 126 ms 35532 KB Output is correct

Subtask #7
26.0 / 26.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 12888 KB Output is correct
2 Correct 2 ms 12892 KB Output is correct
3 Correct 2 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 12888 KB Output is correct
11 Correct 2 ms 12888 KB Output is correct
12 Correct 2 ms 12892 KB Output is correct
13 Correct 2 ms 12892 KB Output is correct
14 Correct 3 ms 12892 KB Output is correct
15 Correct 2 ms 12892 KB Output is correct
16 Correct 3 ms 12888 KB Output is correct
17 Correct 2 ms 12888 KB Output is correct
18 Correct 4 ms 13404 KB Output is correct
19 Correct 4 ms 13404 KB Output is correct
20 Correct 4 ms 13464 KB Output is correct
21 Correct 4 ms 13400 KB Output is correct
22 Correct 4 ms 13148 KB Output is correct
23 Correct 4 ms 13148 KB Output is correct
24 Correct 4 ms 13148 KB Output is correct
25 Correct 2 ms 12892 KB Output is correct
26 Correct 4 ms 13148 KB Output is correct
27 Correct 4 ms 13148 KB Output is correct
28 Correct 4 ms 13404 KB Output is correct
29 Correct 4 ms 13148 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 13148 KB Output is correct
33 Correct 4 ms 13148 KB Output is correct
34 Correct 107 ms 48076 KB Output is correct
35 Correct 118 ms 51736 KB Output is correct
36 Correct 126 ms 51916 KB Output is correct
37 Correct 152 ms 48588 KB Output is correct
38 Correct 154 ms 50472 KB Output is correct
39 Correct 166 ms 49864 KB Output is correct
40 Correct 146 ms 50692 KB Output is correct
41 Correct 2 ms 12892 KB Output is correct
42 Correct 2 ms 12892 KB Output is correct
43 Correct 134 ms 35544 KB Output is correct
44 Correct 126 ms 35532 KB Output is correct
45 Correct 126 ms 35532 KB Output is correct
46 Correct 216 ms 47992 KB Output is correct
47 Correct 180 ms 48080 KB Output is correct
48 Correct 210 ms 49352 KB Output is correct
49 Correct 184 ms 48028 KB Output is correct
50 Correct 174 ms 39376 KB Output is correct
51 Correct 166 ms 39468 KB Output is correct
52 Correct 167 ms 39372 KB Output is correct
53 Correct 169 ms 39372 KB Output is correct