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Submission #784504

# Submission time Handle Problem Language Result Execution time Memory
784504 2023-07-16T07:34:32 Z PoonYaPat Meetings 2 (JOI21_meetings2) C++14
100 / 100
 352 ms 48428 KB 
#include <bits/stdc++.h>
using namespace std;

int n,sz[200005],level[200005],p[200005][19];
vector<int> adj[200005],group[200005];

void dfs_sz(int x, int par) {
    sz[x]=1;
    for (auto s : adj[x]) {
        if (s==par) continue;
        dfs_sz(s,x);
        sz[x]+=sz[s];
    }
}

int find_cen(int x, int par) {
    for (auto s : adj[x]) if (s!=par && sz[s]>n/2) return find_cen(s,x);
    return x;
}

void dfs(int x, int par) {
    p[x][0]=par;
    level[x]=level[par]+1;
    group[sz[x]].push_back(x);
    for (int i=1; i<19; ++i) p[x][i]=p[p[x][i-1]][i-1];

    for (auto s : adj[x]) if (s!=par) dfs(s,x);
}

int lca(int x, int y) {
    if (level[x]<level[y]) swap(x,y);
    int dif=level[x]-level[y];
    for (int i=0; i<19; ++i) {
        if (dif&(1<<i)) {
            x=p[x][i];
        }
    }
    if (x==y) return x;

    for (int i=18; i>=0; --i) {
        if (p[x][i]!=p[y][i]) {
            x=p[x][i];
            y=p[y][i];
        }
    }
    return p[x][0];
}

int dis(int x, int y) {
    return level[x]+level[y]-2*level[lca(x,y)];
}

int main() {
    ios_base::sync_with_stdio(0); cin.tie(0);
    cin>>n;
    for (int i=0; i<n-1; ++i) {
        int a,b; cin>>a>>b;
        adj[a].push_back(b);
        adj[b].push_back(a);
    }
    dfs_sz(1,0);
    int cen=find_cen(1,0);
    dfs_sz(cen,0);
    dfs(cen,0);

    vector<int> ans(n+1,1);
    int x=cen,y=cen,dia=0;
    for (int i=n/2; i>=1; --i) {
        for (auto s : group[i]) {
            int d1=dis(s,x), d2=dis(s,y);
            if (d1<d2) swap(d1,d2), swap(x,y);
            if (d1>dia) dia=d1, y=s;
        }
        ans[2*i]=dia+1;
    }

    for (int i=1; i<=n; ++i) cout<<ans[i]<<"\n";
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 9684 KB Output is correct
2 Correct 5 ms 9692 KB Output is correct
3 Correct 4 ms 9684 KB Output is correct
4 Correct 4 ms 9684 KB Output is correct
5 Correct 5 ms 9732 KB Output is correct
6 Correct 5 ms 9728 KB Output is correct
7 Correct 8 ms 9812 KB Output is correct
8 Correct 5 ms 9684 KB Output is correct
9 Correct 4 ms 9684 KB Output is correct
10 Correct 5 ms 9728 KB Output is correct
11 Correct 4 ms 9724 KB Output is correct
12 Correct 4 ms 9684 KB Output is correct
13 Correct 4 ms 9684 KB Output is correct
14 Correct 5 ms 9724 KB Output is correct
15 Correct 5 ms 9732 KB Output is correct
16 Correct 4 ms 9684 KB Output is correct
17 Correct 5 ms 9736 KB Output is correct
18 Correct 5 ms 9728 KB Output is correct
19 Correct 4 ms 9684 KB Output is correct
20 Correct 5 ms 9728 KB Output is correct
21 Correct 5 ms 9684 KB Output is correct

Subtask #2
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 9684 KB Output is correct
2 Correct 5 ms 9692 KB Output is correct
3 Correct 4 ms 9684 KB Output is correct
4 Correct 4 ms 9684 KB Output is correct
5 Correct 5 ms 9732 KB Output is correct
6 Correct 5 ms 9728 KB Output is correct
7 Correct 8 ms 9812 KB Output is correct
8 Correct 5 ms 9684 KB Output is correct
9 Correct 4 ms 9684 KB Output is correct
10 Correct 5 ms 9728 KB Output is correct
11 Correct 4 ms 9724 KB Output is correct
12 Correct 4 ms 9684 KB Output is correct
13 Correct 4 ms 9684 KB Output is correct
14 Correct 5 ms 9724 KB Output is correct
15 Correct 5 ms 9732 KB Output is correct
16 Correct 4 ms 9684 KB Output is correct
17 Correct 5 ms 9736 KB Output is correct
18 Correct 5 ms 9728 KB Output is correct
19 Correct 4 ms 9684 KB Output is correct
20 Correct 5 ms 9728 KB Output is correct
21 Correct 5 ms 9684 KB Output is correct
22 Correct 8 ms 10196 KB Output is correct
23 Correct 6 ms 10248 KB Output is correct
24 Correct 10 ms 10248 KB Output is correct
25 Correct 6 ms 10196 KB Output is correct
26 Correct 6 ms 10196 KB Output is correct
27 Correct 7 ms 10196 KB Output is correct
28 Correct 7 ms 10196 KB Output is correct
29 Correct 13 ms 10220 KB Output is correct
30 Correct 7 ms 10252 KB Output is correct
31 Correct 9 ms 10196 KB Output is correct
32 Correct 10 ms 10380 KB Output is correct
33 Correct 8 ms 10504 KB Output is correct
34 Correct 8 ms 10184 KB Output is correct
35 Correct 9 ms 10196 KB Output is correct
36 Correct 7 ms 10252 KB Output is correct
37 Correct 8 ms 10252 KB Output is correct
38 Correct 6 ms 10376 KB Output is correct

Subtask #3
80.0 / 80.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 9684 KB Output is correct
2 Correct 5 ms 9692 KB Output is correct
3 Correct 4 ms 9684 KB Output is correct
4 Correct 4 ms 9684 KB Output is correct
5 Correct 5 ms 9732 KB Output is correct
6 Correct 5 ms 9728 KB Output is correct
7 Correct 8 ms 9812 KB Output is correct
8 Correct 5 ms 9684 KB Output is correct
9 Correct 4 ms 9684 KB Output is correct
10 Correct 5 ms 9728 KB Output is correct
11 Correct 4 ms 9724 KB Output is correct
12 Correct 4 ms 9684 KB Output is correct
13 Correct 4 ms 9684 KB Output is correct
14 Correct 5 ms 9724 KB Output is correct
15 Correct 5 ms 9732 KB Output is correct
16 Correct 4 ms 9684 KB Output is correct
17 Correct 5 ms 9736 KB Output is correct
18 Correct 5 ms 9728 KB Output is correct
19 Correct 4 ms 9684 KB Output is correct
20 Correct 5 ms 9728 KB Output is correct
21 Correct 5 ms 9684 KB Output is correct
22 Correct 8 ms 10196 KB Output is correct
23 Correct 6 ms 10248 KB Output is correct
24 Correct 10 ms 10248 KB Output is correct
25 Correct 6 ms 10196 KB Output is correct
26 Correct 6 ms 10196 KB Output is correct
27 Correct 7 ms 10196 KB Output is correct
28 Correct 7 ms 10196 KB Output is correct
29 Correct 13 ms 10220 KB Output is correct
30 Correct 7 ms 10252 KB Output is correct
31 Correct 9 ms 10196 KB Output is correct
32 Correct 10 ms 10380 KB Output is correct
33 Correct 8 ms 10504 KB Output is correct
34 Correct 8 ms 10184 KB Output is correct
35 Correct 9 ms 10196 KB Output is correct
36 Correct 7 ms 10252 KB Output is correct
37 Correct 8 ms 10252 KB Output is correct
38 Correct 6 ms 10376 KB Output is correct
39 Correct 238 ms 36824 KB Output is correct
40 Correct 252 ms 36140 KB Output is correct
41 Correct 200 ms 36952 KB Output is correct
42 Correct 292 ms 37240 KB Output is correct
43 Correct 262 ms 37304 KB Output is correct
44 Correct 230 ms 37448 KB Output is correct
45 Correct 352 ms 43944 KB Output is correct
46 Correct 263 ms 48428 KB Output is correct
47 Correct 153 ms 37760 KB Output is correct
48 Correct 142 ms 37728 KB Output is correct
49 Correct 208 ms 37920 KB Output is correct
50 Correct 136 ms 37828 KB Output is correct
51 Correct 178 ms 46208 KB Output is correct