Submission #536936

# Submission time Handle Problem Language Result Execution time Memory
536936 2022-03-14T07:54:44 Z someone Meetings 2 (JOI21_meetings2) C++14
100 / 100
399 ms 38692 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--)
        while(!ancester(bl[i][a], b)) {
            a = bl[i][a];
            if(dist[a] < dist[b])
                swap(a, 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 = ans[val[i-1].val],
            dist2 = distance(diam1, val[i].i),
            dist3 = distance(val[i].i, diam2);
        ans[val[i].val] = max(max(dist1, dist2), dist3);
        if(dist2 == ans[val[i].val])
            diam2 = val[i].i;
        else if(dist3 == ans[val[i].val])
            diam1 = val[i].i;
    }
    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';
}

Compilation message

meetings2.cpp:9:39: warning: overflow in conversion from 'double' to 'int' changes value from '1.0e+18' to '2147483647' [-Woverflow]
    9 | const int N = 2e5 + 42, T = 18, INF = 1e18;
      |                                       ^~~~
# Verdict Execution time Memory Grader output
1 Correct 4 ms 5844 KB Output is correct
2 Correct 4 ms 5844 KB Output is correct
3 Correct 4 ms 5888 KB Output is correct
4 Correct 3 ms 5844 KB Output is correct
5 Correct 4 ms 5844 KB Output is correct
6 Correct 3 ms 5844 KB Output is correct
7 Correct 4 ms 5844 KB Output is correct
8 Correct 4 ms 5844 KB Output is correct
9 Correct 4 ms 5844 KB Output is correct
10 Correct 4 ms 5844 KB Output is correct
11 Correct 4 ms 5844 KB Output is correct
12 Correct 4 ms 5844 KB Output is correct
13 Correct 4 ms 5844 KB Output is correct
14 Correct 5 ms 5844 KB Output is correct
15 Correct 4 ms 5844 KB Output is correct
16 Correct 4 ms 5844 KB Output is correct
17 Correct 5 ms 5844 KB Output is correct
18 Correct 5 ms 5924 KB Output is correct
19 Correct 4 ms 5844 KB Output is correct
20 Correct 4 ms 5844 KB Output is correct
21 Correct 4 ms 5844 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 5844 KB Output is correct
2 Correct 4 ms 5844 KB Output is correct
3 Correct 4 ms 5888 KB Output is correct
4 Correct 3 ms 5844 KB Output is correct
5 Correct 4 ms 5844 KB Output is correct
6 Correct 3 ms 5844 KB Output is correct
7 Correct 4 ms 5844 KB Output is correct
8 Correct 4 ms 5844 KB Output is correct
9 Correct 4 ms 5844 KB Output is correct
10 Correct 4 ms 5844 KB Output is correct
11 Correct 4 ms 5844 KB Output is correct
12 Correct 4 ms 5844 KB Output is correct
13 Correct 4 ms 5844 KB Output is correct
14 Correct 5 ms 5844 KB Output is correct
15 Correct 4 ms 5844 KB Output is correct
16 Correct 4 ms 5844 KB Output is correct
17 Correct 5 ms 5844 KB Output is correct
18 Correct 5 ms 5924 KB Output is correct
19 Correct 4 ms 5844 KB Output is correct
20 Correct 4 ms 5844 KB Output is correct
21 Correct 4 ms 5844 KB Output is correct
22 Correct 6 ms 6356 KB Output is correct
23 Correct 5 ms 6404 KB Output is correct
24 Correct 7 ms 6332 KB Output is correct
25 Correct 6 ms 6396 KB Output is correct
26 Correct 6 ms 6356 KB Output is correct
27 Correct 6 ms 6356 KB Output is correct
28 Correct 6 ms 6356 KB Output is correct
29 Correct 6 ms 6356 KB Output is correct
30 Correct 6 ms 6356 KB Output is correct
31 Correct 7 ms 6428 KB Output is correct
32 Correct 9 ms 6508 KB Output is correct
33 Correct 6 ms 6484 KB Output is correct
34 Correct 6 ms 6356 KB Output is correct
35 Correct 7 ms 6356 KB Output is correct
36 Correct 9 ms 6356 KB Output is correct
37 Correct 6 ms 6448 KB Output is correct
38 Correct 5 ms 6484 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 5844 KB Output is correct
2 Correct 4 ms 5844 KB Output is correct
3 Correct 4 ms 5888 KB Output is correct
4 Correct 3 ms 5844 KB Output is correct
5 Correct 4 ms 5844 KB Output is correct
6 Correct 3 ms 5844 KB Output is correct
7 Correct 4 ms 5844 KB Output is correct
8 Correct 4 ms 5844 KB Output is correct
9 Correct 4 ms 5844 KB Output is correct
10 Correct 4 ms 5844 KB Output is correct
11 Correct 4 ms 5844 KB Output is correct
12 Correct 4 ms 5844 KB Output is correct
13 Correct 4 ms 5844 KB Output is correct
14 Correct 5 ms 5844 KB Output is correct
15 Correct 4 ms 5844 KB Output is correct
16 Correct 4 ms 5844 KB Output is correct
17 Correct 5 ms 5844 KB Output is correct
18 Correct 5 ms 5924 KB Output is correct
19 Correct 4 ms 5844 KB Output is correct
20 Correct 4 ms 5844 KB Output is correct
21 Correct 4 ms 5844 KB Output is correct
22 Correct 6 ms 6356 KB Output is correct
23 Correct 5 ms 6404 KB Output is correct
24 Correct 7 ms 6332 KB Output is correct
25 Correct 6 ms 6396 KB Output is correct
26 Correct 6 ms 6356 KB Output is correct
27 Correct 6 ms 6356 KB Output is correct
28 Correct 6 ms 6356 KB Output is correct
29 Correct 6 ms 6356 KB Output is correct
30 Correct 6 ms 6356 KB Output is correct
31 Correct 7 ms 6428 KB Output is correct
32 Correct 9 ms 6508 KB Output is correct
33 Correct 6 ms 6484 KB Output is correct
34 Correct 6 ms 6356 KB Output is correct
35 Correct 7 ms 6356 KB Output is correct
36 Correct 9 ms 6356 KB Output is correct
37 Correct 6 ms 6448 KB Output is correct
38 Correct 5 ms 6484 KB Output is correct
39 Correct 196 ms 30980 KB Output is correct
40 Correct 226 ms 30412 KB Output is correct
41 Correct 188 ms 31008 KB Output is correct
42 Correct 210 ms 31456 KB Output is correct
43 Correct 221 ms 31460 KB Output is correct
44 Correct 223 ms 31460 KB Output is correct
45 Correct 399 ms 35276 KB Output is correct
46 Correct 232 ms 38692 KB Output is correct
47 Correct 190 ms 31748 KB Output is correct
48 Correct 108 ms 31936 KB Output is correct
49 Correct 241 ms 32076 KB Output is correct
50 Correct 148 ms 32068 KB Output is correct
51 Correct 207 ms 37844 KB Output is correct