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Submission #595714

# Submission time Handle Problem Language Result Execution time Memory
595714 2022-07-14T02:47:30 Z czhang2718 Meetings 2 (JOI21_meetings2) C++17
100 / 100
 1026 ms 34216 KB 
#include "bits/stdc++.h"
using namespace std;

const int N=2e5+1;
int n;
vector<int> adj[N];
int ans[N+2];
bool vis[N];
int sz[N];
int dist[N];
int add[N];
int dp[N];
pair<int,int> mx[N], mx2[N];
int MR[N];

#define f first
#define s second

void dfs1(int x, vector<int> &nodes){
    vis[x]=1;
    nodes.push_back(x);
    sz[x]=1;
    for(int k:adj[x]){
        if(vis[k]) continue;
        dfs1(k, nodes);
        sz[x]+=sz[k];
    }
}

void dfs2(int x, int cnt, int &c){
    vis[x]=1;
    for(int k:adj[x]){
        if(vis[k]) continue;
        if(sz[k]>cnt/2){
            dfs2(k, cnt, c);
            if(c) return;
        }
    }
    if(!c) c=x;
}

void dfs3(int x, vector<int> &no, vector<int> &undo){
    no.push_back(x);
    vis[x]=1;
    for(int k:adj[x]){
        if(vis[k]) continue;
        dist[k]=dist[x]+1;
        dfs3(k, no, undo);
    }
    undo.push_back(sz[x]);
    // cout << "sz " << x << " " << sz[x] << "\n";
    dp[sz[x]]=max(dp[sz[x]], dist[x]);
}

void dfs4(int x){
    vis[x]=1;
    sz[x]=add[x];
    for(int k:adj[x]){
        if(vis[k]) continue;
        dfs4(k);
        sz[x]+=sz[k];
    }
}

void go(int x){
    vector<int> nodes;
    // get nodes and subtree sz
    dfs1(x, nodes);
    if(nodes.size()==1) return;

    // find centroid
    for(int u:nodes) vis[u]=0;
    int c=0;
    dfs2(x, nodes.size(), c);

    // cout << "centroid " << c << "\n";
    // for(int i:nodes) cout << i << " ";
    // cout << "\n";

    // get real sizes
    for(int u:nodes) vis[u]=0;
    dfs4(c);

    // combine subtrees
    for(int u:nodes) if(u!=c) vis[u]=0;
    vector<int> sizes;
    vector<int> root;
    for(int k:adj[c]){
        if(vis[k]) continue;
        vector<int> nodes2;
        dist[k]=1;
        root.push_back(k);
        vector<int> undo;
        dfs3(k, nodes2, undo);
        for(int v:nodes2){
            // cout << "ans " << 2*min(sz[v], sz[c]-sz[k]) << " mx= " << dist[v] << " v=" << v << "\n";
            ans[2*min(sz[v], sz[c]-sz[k])]=max(ans[2*min(sz[v], sz[c]-sz[k])], dist[v]);
        }
        sort(undo.begin(), undo.end());
        undo.erase(unique(undo.begin(), undo.end()), undo.end());
        for(int i:undo){
            // cout << "k " << k << " TRY " << i << " " << dp[i] << "\n";
            if(dp[i]>mx[i].first) mx2[i]=mx[i], mx[i]={dp[i], k};
            else if(dp[i]>mx2[i].first) mx2[i]={dp[i], k};
        }

        for(int p:undo) dp[p]=-1, sizes.push_back(p);
    }
    sort(sizes.begin(), sizes.end());
    sizes.erase(unique(sizes.begin(), sizes.end()), sizes.end());
    reverse(sizes.begin(), sizes.end());
    
    multiset<int> s;

    for(int p:sizes){
        int v=mx[p].first;
        int i=mx[p].second;
        if(MR[i]!=-1){
            int u=MR[i];
            s.erase(s.find(u));
            MR[i]=max(MR[i], v);
            s.insert(MR[i]);
        }
        else{
            MR[i]=v;
            s.insert(MR[i]);
        }
        v=mx2[p].first;
        i=mx2[p].second;
        if(i!=-1){
            if(MR[i]!=-1){
                int u=MR[i];
                s.erase(s.find(u));
                MR[i]=max(MR[i], v);
                s.insert(MR[i]);
            }
            else{
                MR[i]=v;
                s.insert(MR[i]);
            }
        }
        

        if(s.size()>=2) ans[2*p]=max(ans[2*p], *prev(s.end())+*prev(prev(s.end())));

        mx[p]=mx2[p]={-1,-1};
    }

    for(int u:nodes) if(u!=c) vis[u]=0;
    for(int k:root) MR[k]=-1;
    for(int k:adj[c]){
        if(!vis[k]){
            add[k]+=sz[c]-sz[k];
            go(k);
        }
    }
}

int main(){
    cin.tie(0)->sync_with_stdio(0);

    cin >> n;
    for(int i=1; i<n; i++){
        int u,v; cin >> u >> v;
        adj[u].push_back(v);
        adj[v].push_back(u);
    }
    for(int i=1; i<=n; i++) add[i]=1, dp[i]=MR[i]=-1, mx[i]=mx2[i]={-1,-1};
    go(1);

    // for(int i=1; i<=n; i++){
    //     cout << ans[i] << " ";
    // }
    // cout << "\n";
    for(int i=n-1; i>=1; i--) ans[i]=max(ans[i], ans[i+1]);
    for(int i=1; i<=n; i++){
        if(i&1) cout << "1\n";
        else cout << 1+ans[i] << "\n";
    }
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4948 KB Output is correct
2 Correct 2 ms 4948 KB Output is correct
3 Correct 2 ms 4948 KB Output is correct
4 Correct 2 ms 5040 KB Output is correct
5 Correct 2 ms 4948 KB Output is correct
6 Correct 3 ms 4948 KB Output is correct
7 Correct 3 ms 4948 KB Output is correct
8 Correct 3 ms 5076 KB Output is correct
9 Correct 3 ms 4948 KB Output is correct
10 Correct 3 ms 4948 KB Output is correct
11 Correct 3 ms 4948 KB Output is correct
12 Correct 3 ms 5076 KB Output is correct
13 Correct 3 ms 4948 KB Output is correct
14 Correct 3 ms 4948 KB Output is correct
15 Correct 3 ms 5028 KB Output is correct
16 Correct 2 ms 4948 KB Output is correct
17 Correct 3 ms 4948 KB Output is correct
18 Correct 4 ms 4948 KB Output is correct
19 Correct 3 ms 4948 KB Output is correct
20 Correct 3 ms 4948 KB Output is correct
21 Correct 3 ms 5076 KB Output is correct

Subtask #2
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4948 KB Output is correct
2 Correct 2 ms 4948 KB Output is correct
3 Correct 2 ms 4948 KB Output is correct
4 Correct 2 ms 5040 KB Output is correct
5 Correct 2 ms 4948 KB Output is correct
6 Correct 3 ms 4948 KB Output is correct
7 Correct 3 ms 4948 KB Output is correct
8 Correct 3 ms 5076 KB Output is correct
9 Correct 3 ms 4948 KB Output is correct
10 Correct 3 ms 4948 KB Output is correct
11 Correct 3 ms 4948 KB Output is correct
12 Correct 3 ms 5076 KB Output is correct
13 Correct 3 ms 4948 KB Output is correct
14 Correct 3 ms 4948 KB Output is correct
15 Correct 3 ms 5028 KB Output is correct
16 Correct 2 ms 4948 KB Output is correct
17 Correct 3 ms 4948 KB Output is correct
18 Correct 4 ms 4948 KB Output is correct
19 Correct 3 ms 4948 KB Output is correct
20 Correct 3 ms 4948 KB Output is correct
21 Correct 3 ms 5076 KB Output is correct
22 Correct 8 ms 5332 KB Output is correct
23 Correct 8 ms 5332 KB Output is correct
24 Correct 8 ms 5332 KB Output is correct
25 Correct 8 ms 5424 KB Output is correct
26 Correct 9 ms 5364 KB Output is correct
27 Correct 9 ms 5444 KB Output is correct
28 Correct 8 ms 5460 KB Output is correct
29 Correct 9 ms 5444 KB Output is correct
30 Correct 8 ms 5332 KB Output is correct
31 Correct 8 ms 5332 KB Output is correct
32 Correct 11 ms 5588 KB Output is correct
33 Correct 11 ms 5668 KB Output is correct
34 Correct 5 ms 5460 KB Output is correct
35 Correct 4 ms 5460 KB Output is correct
36 Correct 8 ms 5460 KB Output is correct
37 Correct 5 ms 5420 KB Output is correct
38 Correct 8 ms 5460 KB Output is correct

Subtask #3
80.0 / 80.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4948 KB Output is correct
2 Correct 2 ms 4948 KB Output is correct
3 Correct 2 ms 4948 KB Output is correct
4 Correct 2 ms 5040 KB Output is correct
5 Correct 2 ms 4948 KB Output is correct
6 Correct 3 ms 4948 KB Output is correct
7 Correct 3 ms 4948 KB Output is correct
8 Correct 3 ms 5076 KB Output is correct
9 Correct 3 ms 4948 KB Output is correct
10 Correct 3 ms 4948 KB Output is correct
11 Correct 3 ms 4948 KB Output is correct
12 Correct 3 ms 5076 KB Output is correct
13 Correct 3 ms 4948 KB Output is correct
14 Correct 3 ms 4948 KB Output is correct
15 Correct 3 ms 5028 KB Output is correct
16 Correct 2 ms 4948 KB Output is correct
17 Correct 3 ms 4948 KB Output is correct
18 Correct 4 ms 4948 KB Output is correct
19 Correct 3 ms 4948 KB Output is correct
20 Correct 3 ms 4948 KB Output is correct
21 Correct 3 ms 5076 KB Output is correct
22 Correct 8 ms 5332 KB Output is correct
23 Correct 8 ms 5332 KB Output is correct
24 Correct 8 ms 5332 KB Output is correct
25 Correct 8 ms 5424 KB Output is correct
26 Correct 9 ms 5364 KB Output is correct
27 Correct 9 ms 5444 KB Output is correct
28 Correct 8 ms 5460 KB Output is correct
29 Correct 9 ms 5444 KB Output is correct
30 Correct 8 ms 5332 KB Output is correct
31 Correct 8 ms 5332 KB Output is correct
32 Correct 11 ms 5588 KB Output is correct
33 Correct 11 ms 5668 KB Output is correct
34 Correct 5 ms 5460 KB Output is correct
35 Correct 4 ms 5460 KB Output is correct
36 Correct 8 ms 5460 KB Output is correct
37 Correct 5 ms 5420 KB Output is correct
38 Correct 8 ms 5460 KB Output is correct
39 Correct 554 ms 22972 KB Output is correct
40 Correct 538 ms 22680 KB Output is correct
41 Correct 558 ms 23084 KB Output is correct
42 Correct 538 ms 23340 KB Output is correct
43 Correct 551 ms 23472 KB Output is correct
44 Correct 570 ms 23516 KB Output is correct
45 Correct 1026 ms 29480 KB Output is correct
46 Correct 890 ms 34216 KB Output is correct
47 Correct 212 ms 24432 KB Output is correct
48 Correct 128 ms 24828 KB Output is correct
49 Correct 504 ms 24548 KB Output is correct
50 Correct 193 ms 24560 KB Output is correct
51 Correct 524 ms 33208 KB Output is correct