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Submission #536928

# Submission time Handle Problem Language Result Execution time Memory
536928 2022-03-14T07:49:19 Z someone Meetings 2 (JOI21_meetings2) C++14
100 / 100
 1002 ms 60712 KB 
#include <bits/stdc++.h>
#define int long long
using namespace std;

struct Val {
    int val, i;
};

const int N = 2e5 + 42, T = 18, INF = 1e18;

Val val[N];
vector<int> adj[N];
int n, root, id = 0, sz[N], ans[N], dist[N], deb[N], fin[N], bl[T][N];

int DFS(int i, int pre) {
    int maxi = 0, sum = 1;
    for(int j : adj[i])
        if(j != pre) {
            int val = DFS(j, i);
            sum += val;
            maxi = max(maxi, val);
        }
    maxi = max(maxi, n - sum);
    if(maxi <= n/2)
        root = i;
    return sum;
}

int getSz(int i, int pre) {
    sz[i] = 1;
    deb[i] = id++;
    bl[0][i] = pre;
    dist[i] = dist[pre] + 1;
    for(int j : adj[i])
        if(j != pre)
            sz[i] += getSz(j, i);
    fin[i] = id++;
    return sz[i];
}

inline bool ancester(int a, int b) {
    return deb[a] <= deb[b] && fin[b] <= fin[a];
}

int LCA(int a, int b) {
    if(dist[a] < dist[b])
        swap(a, b);
    if(ancester(b, a))
        return b;
    for(int i = T-1; i > -1; i--)
        if(dist[bl[i][a]] >= dist[b])
            a = bl[i][a];
    if(a == b)
        return a;
    for(int i = T-1; i > -1; i--)
        if(bl[i][a] != bl[i][b])
            a = bl[i][a], b = bl[i][b];
    return bl[0][a];
}

inline int distance(int a, int b) {
    return dist[a] + dist[b] - 2 * dist[LCA(a, b)];
}

signed main() {
    ios::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
    
    cin >> n;
    for(int i = 1; i < n; i++) {
        int a, b;
        cin >> a >> b;
        a--, b--;
        adj[a].push_back(b);
        adj[b].push_back(a);
    }
    
    DFS(0, 0);
    getSz(root, root);
    
    for(int i = 0; i < n; i++) {
        val[i].i = i;
        val[i].val = sz[i];
    }
    sort(val, val + n,
    [](Val a, Val b) {
        return a.val > b.val;
    });
    
    for(int i = 1; i < T; i++)
        for(int j = 0; j < n; j++)
            bl[i][j] = bl[i-1][bl[i-1][j]];
    
    int diam1 = root, diam2 = root;
    for(int i = 1; i < n; i++) {
        int dist1 = distance(diam1, diam2),
            dist2 = distance(diam1, val[i].i),
            dist3 = distance(val[i].i, diam2),
            newmax = max(max(dist1, dist2), dist3);
        if(dist2 == newmax)
            diam2 = val[i].i;
        else if(dist3 == newmax)
            diam1 = val[i].i;
        ans[val[i].val] = newmax;
    }
    for(int i = N-2; i > -1; i--)
        ans[i] = max(ans[i], ans[i+1]);
    for(int i = 1; i <= n; i++)
        if(i % 2 == 1)
            cout << "1\n";
        else
            cout << ans[i/2] + 1 << '\n';
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 6740 KB Output is correct
2 Correct 6 ms 6740 KB Output is correct
3 Correct 4 ms 6696 KB Output is correct
4 Correct 5 ms 6740 KB Output is correct
5 Correct 5 ms 6740 KB Output is correct
6 Correct 6 ms 6696 KB Output is correct
7 Correct 4 ms 6740 KB Output is correct
8 Correct 5 ms 6740 KB Output is correct
9 Correct 4 ms 6752 KB Output is correct
10 Correct 5 ms 6740 KB Output is correct
11 Correct 6 ms 6740 KB Output is correct
12 Correct 5 ms 6740 KB Output is correct
13 Correct 6 ms 6740 KB Output is correct
14 Correct 5 ms 6740 KB Output is correct
15 Correct 6 ms 6696 KB Output is correct
16 Correct 6 ms 6740 KB Output is correct
17 Correct 5 ms 6740 KB Output is correct
18 Correct 5 ms 6740 KB Output is correct
19 Correct 5 ms 6740 KB Output is correct
20 Correct 6 ms 6740 KB Output is correct
21 Correct 5 ms 6740 KB Output is correct

Subtask #2
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 6740 KB Output is correct
2 Correct 6 ms 6740 KB Output is correct
3 Correct 4 ms 6696 KB Output is correct
4 Correct 5 ms 6740 KB Output is correct
5 Correct 5 ms 6740 KB Output is correct
6 Correct 6 ms 6696 KB Output is correct
7 Correct 4 ms 6740 KB Output is correct
8 Correct 5 ms 6740 KB Output is correct
9 Correct 4 ms 6752 KB Output is correct
10 Correct 5 ms 6740 KB Output is correct
11 Correct 6 ms 6740 KB Output is correct
12 Correct 5 ms 6740 KB Output is correct
13 Correct 6 ms 6740 KB Output is correct
14 Correct 5 ms 6740 KB Output is correct
15 Correct 6 ms 6696 KB Output is correct
16 Correct 6 ms 6740 KB Output is correct
17 Correct 5 ms 6740 KB Output is correct
18 Correct 5 ms 6740 KB Output is correct
19 Correct 5 ms 6740 KB Output is correct
20 Correct 6 ms 6740 KB Output is correct
21 Correct 5 ms 6740 KB Output is correct
22 Correct 9 ms 7636 KB Output is correct
23 Correct 9 ms 7636 KB Output is correct
24 Correct 11 ms 7636 KB Output is correct
25 Correct 9 ms 7608 KB Output is correct
26 Correct 9 ms 7636 KB Output is correct
27 Correct 9 ms 7624 KB Output is correct
28 Correct 9 ms 7700 KB Output is correct
29 Correct 9 ms 7668 KB Output is correct
30 Correct 10 ms 7604 KB Output is correct
31 Correct 8 ms 7636 KB Output is correct
32 Correct 11 ms 7732 KB Output is correct
33 Correct 9 ms 7832 KB Output is correct
34 Correct 9 ms 7664 KB Output is correct
35 Correct 7 ms 7636 KB Output is correct
36 Correct 9 ms 7636 KB Output is correct
37 Correct 8 ms 7664 KB Output is correct
38 Correct 9 ms 7672 KB Output is correct

Subtask #3
80.0 / 80.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 6740 KB Output is correct
2 Correct 6 ms 6740 KB Output is correct
3 Correct 4 ms 6696 KB Output is correct
4 Correct 5 ms 6740 KB Output is correct
5 Correct 5 ms 6740 KB Output is correct
6 Correct 6 ms 6696 KB Output is correct
7 Correct 4 ms 6740 KB Output is correct
8 Correct 5 ms 6740 KB Output is correct
9 Correct 4 ms 6752 KB Output is correct
10 Correct 5 ms 6740 KB Output is correct
11 Correct 6 ms 6740 KB Output is correct
12 Correct 5 ms 6740 KB Output is correct
13 Correct 6 ms 6740 KB Output is correct
14 Correct 5 ms 6740 KB Output is correct
15 Correct 6 ms 6696 KB Output is correct
16 Correct 6 ms 6740 KB Output is correct
17 Correct 5 ms 6740 KB Output is correct
18 Correct 5 ms 6740 KB Output is correct
19 Correct 5 ms 6740 KB Output is correct
20 Correct 6 ms 6740 KB Output is correct
21 Correct 5 ms 6740 KB Output is correct
22 Correct 9 ms 7636 KB Output is correct
23 Correct 9 ms 7636 KB Output is correct
24 Correct 11 ms 7636 KB Output is correct
25 Correct 9 ms 7608 KB Output is correct
26 Correct 9 ms 7636 KB Output is correct
27 Correct 9 ms 7624 KB Output is correct
28 Correct 9 ms 7700 KB Output is correct
29 Correct 9 ms 7668 KB Output is correct
30 Correct 10 ms 7604 KB Output is correct
31 Correct 8 ms 7636 KB Output is correct
32 Correct 11 ms 7732 KB Output is correct
33 Correct 9 ms 7832 KB Output is correct
34 Correct 9 ms 7664 KB Output is correct
35 Correct 7 ms 7636 KB Output is correct
36 Correct 9 ms 7636 KB Output is correct
37 Correct 8 ms 7664 KB Output is correct
38 Correct 9 ms 7672 KB Output is correct
39 Correct 489 ms 53740 KB Output is correct
40 Correct 473 ms 52784 KB Output is correct
41 Correct 480 ms 53796 KB Output is correct
42 Correct 465 ms 54524 KB Output is correct
43 Correct 488 ms 54528 KB Output is correct
44 Correct 463 ms 54536 KB Output is correct
45 Correct 1002 ms 58412 KB Output is correct
46 Correct 737 ms 60712 KB Output is correct
47 Correct 331 ms 54576 KB Output is correct
48 Correct 227 ms 54820 KB Output is correct
49 Correct 704 ms 54744 KB Output is correct
50 Correct 258 ms 54912 KB Output is correct
51 Correct 494 ms 60332 KB Output is correct