oj.uz

Submission #390114

# Submission time Handle Problem Language Result Execution time Memory
390114 2021-04-15T11:11:45 Z apostoldaniel854 Meetings 2 (JOI21_meetings2) C++14
100 / 100
 1067 ms 32300 KB 
#include <bits/stdc++.h>

using namespace std;

using ll = long long;
#define dbg(x) cerr << #x << " " << x << "\n"

const int MAX_N = 2e5;
int n;
vector <int> graph[1 + MAX_N];
int sz[1 + MAX_N];
int sol[1 + MAX_N];
bool used[1 + MAX_N];
int h[1 + MAX_N];
int best_depth[1 + MAX_N];

void upd (int &a, int b) {
    if (a < b)
        a = b;
}

void dfs_sz (int node, int par) {
    sz[node] = 1;
    for (int son : graph[node])
        if (son != par && not used[son]) {
            dfs_sz (son, node);
            sz[node] += sz[son];
        }
}


int get_centroid (int node, int par, int target) {
    for (int son : graph[node])
        if (son != par && not used[son] && sz[son] > target)
            return get_centroid (son, node, target);
    return node;
}


struct node_t {
    int sz;
    int h;
    int id;
    bool operator < (const node_t &other) const {
        return sz < other.sz;
    }
};

vector <node_t> v;

void dfs_prec (int node, int par, int depth, int nr) {
    sz[node] = 1;
    h[node] = depth;
    for (int son : graph[node])
        if (son != par && not used[son]) {
            dfs_prec (son, node, depth + 1, nr);
            sz[node] += sz[son];
        }
    v.push_back ({sz[node], h[node], nr});
}

void solve (int node) { /// centroid :)
    dfs_sz (node, 0);
    int centroid = get_centroid (node, 0, sz[node] / 2);
    v.clear ();
    int nr = 0;
    for (int son : graph[centroid])
        if (not used[son]) {
            nr++;
            dfs_prec (son, centroid, 1, nr);
        }
    for (int i = 0; i <= nr; i++)
        best_depth[i] = 0;
    best_depth[0] = 0;;
    multiset <int> max_depths;
    max_depths.insert (0);
    sort (v.begin (), v.end ());
    reverse (v.begin (), v.end ());
    int min_sz = 0;
 //   dbg (centroid);
    for (node_t node : v) {
       // dbg (node.sz); dbg (node.h); dbg (node.id);
        min_sz = node.sz;
        if (best_depth[node.id] < node.h) {
            if (best_depth[node.id] > 0)
                max_depths.erase (max_depths.find (best_depth[node.id]));
            max_depths.insert (node.h);
            best_depth[node.id] = node.h;
        }
        if (max_depths.size () > 1) {
            auto it = max_depths.end ();
            it = prev (it);
            int dist1 = *it;
            it = prev (it);
            int dist2 = *it;
          //  dbg (dist1); dbg (dist2);
            sol[min_sz * 2] = max (sol[min_sz * 2], dist1 + dist2 + 1);
        }
    }

    used[centroid] = true;
    for (int vec : graph[centroid])
        if (not used[vec])
            solve (vec);
}
/**
5
1 2
2 3
4 2
3 5
**/
int main () {
    ios::sync_with_stdio (false);
    cin.tie (0); cout.tie (0);

    cin >> n;
    for (int i = 1; i < n; i++) {
        register int x, y;
        cin >> x >> y;
        graph[x].push_back (y);
        graph[y].push_back (x);
    }
    if (n == 2) {
        cout << "1\n2\n";
        return 0;
    }
    for (int i = 1; i <= n; i++)
        sol[i] = 1;
    solve (1);
    for (int i = n - 2; i > 0; i--)
        sol[i] = max (sol[i], sol[i + 2]);
    for (int i = 1; i <= n; i++)
        cout << sol[i] << "\n";
    return 0;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4940 KB Output is correct
2 Correct 4 ms 4940 KB Output is correct
3 Correct 4 ms 5020 KB Output is correct
4 Correct 4 ms 4940 KB Output is correct
5 Correct 4 ms 4940 KB Output is correct
6 Correct 4 ms 4940 KB Output is correct
7 Correct 5 ms 5020 KB Output is correct
8 Correct 5 ms 4940 KB Output is correct
9 Correct 4 ms 4940 KB Output is correct
10 Correct 4 ms 4940 KB Output is correct
11 Correct 4 ms 4940 KB Output is correct
12 Correct 4 ms 4940 KB Output is correct
13 Correct 4 ms 5016 KB Output is correct
14 Correct 3 ms 5024 KB Output is correct
15 Correct 4 ms 4944 KB Output is correct
16 Correct 4 ms 5020 KB Output is correct
17 Correct 4 ms 4940 KB Output is correct
18 Correct 4 ms 4940 KB Output is correct
19 Correct 4 ms 4940 KB Output is correct
20 Correct 4 ms 4940 KB Output is correct
21 Correct 4 ms 4940 KB Output is correct

Subtask #2
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4940 KB Output is correct
2 Correct 4 ms 4940 KB Output is correct
3 Correct 4 ms 5020 KB Output is correct
4 Correct 4 ms 4940 KB Output is correct
5 Correct 4 ms 4940 KB Output is correct
6 Correct 4 ms 4940 KB Output is correct
7 Correct 5 ms 5020 KB Output is correct
8 Correct 5 ms 4940 KB Output is correct
9 Correct 4 ms 4940 KB Output is correct
10 Correct 4 ms 4940 KB Output is correct
11 Correct 4 ms 4940 KB Output is correct
12 Correct 4 ms 4940 KB Output is correct
13 Correct 4 ms 5016 KB Output is correct
14 Correct 3 ms 5024 KB Output is correct
15 Correct 4 ms 4944 KB Output is correct
16 Correct 4 ms 5020 KB Output is correct
17 Correct 4 ms 4940 KB Output is correct
18 Correct 4 ms 4940 KB Output is correct
19 Correct 4 ms 4940 KB Output is correct
20 Correct 4 ms 4940 KB Output is correct
21 Correct 4 ms 4940 KB Output is correct
22 Correct 8 ms 5368 KB Output is correct
23 Correct 8 ms 5324 KB Output is correct
24 Correct 8 ms 5324 KB Output is correct
25 Correct 9 ms 5224 KB Output is correct
26 Correct 9 ms 5324 KB Output is correct
27 Correct 8 ms 5324 KB Output is correct
28 Correct 11 ms 5324 KB Output is correct
29 Correct 8 ms 5356 KB Output is correct
30 Correct 10 ms 5324 KB Output is correct
31 Correct 8 ms 5368 KB Output is correct
32 Correct 10 ms 5416 KB Output is correct
33 Correct 11 ms 5548 KB Output is correct
34 Correct 6 ms 5324 KB Output is correct
35 Correct 6 ms 5452 KB Output is correct
36 Correct 8 ms 5324 KB Output is correct
37 Correct 6 ms 5452 KB Output is correct
38 Correct 8 ms 5524 KB Output is correct

Subtask #3
80.0 / 80.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4940 KB Output is correct
2 Correct 4 ms 4940 KB Output is correct
3 Correct 4 ms 5020 KB Output is correct
4 Correct 4 ms 4940 KB Output is correct
5 Correct 4 ms 4940 KB Output is correct
6 Correct 4 ms 4940 KB Output is correct
7 Correct 5 ms 5020 KB Output is correct
8 Correct 5 ms 4940 KB Output is correct
9 Correct 4 ms 4940 KB Output is correct
10 Correct 4 ms 4940 KB Output is correct
11 Correct 4 ms 4940 KB Output is correct
12 Correct 4 ms 4940 KB Output is correct
13 Correct 4 ms 5016 KB Output is correct
14 Correct 3 ms 5024 KB Output is correct
15 Correct 4 ms 4944 KB Output is correct
16 Correct 4 ms 5020 KB Output is correct
17 Correct 4 ms 4940 KB Output is correct
18 Correct 4 ms 4940 KB Output is correct
19 Correct 4 ms 4940 KB Output is correct
20 Correct 4 ms 4940 KB Output is correct
21 Correct 4 ms 4940 KB Output is correct
22 Correct 8 ms 5368 KB Output is correct
23 Correct 8 ms 5324 KB Output is correct
24 Correct 8 ms 5324 KB Output is correct
25 Correct 9 ms 5224 KB Output is correct
26 Correct 9 ms 5324 KB Output is correct
27 Correct 8 ms 5324 KB Output is correct
28 Correct 11 ms 5324 KB Output is correct
29 Correct 8 ms 5356 KB Output is correct
30 Correct 10 ms 5324 KB Output is correct
31 Correct 8 ms 5368 KB Output is correct
32 Correct 10 ms 5416 KB Output is correct
33 Correct 11 ms 5548 KB Output is correct
34 Correct 6 ms 5324 KB Output is correct
35 Correct 6 ms 5452 KB Output is correct
36 Correct 8 ms 5324 KB Output is correct
37 Correct 6 ms 5452 KB Output is correct
38 Correct 8 ms 5524 KB Output is correct
39 Correct 649 ms 19356 KB Output is correct
40 Correct 634 ms 19352 KB Output is correct
41 Correct 508 ms 19304 KB Output is correct
42 Correct 611 ms 19524 KB Output is correct
43 Correct 513 ms 19472 KB Output is correct
44 Correct 508 ms 19512 KB Output is correct
45 Correct 1067 ms 25072 KB Output is correct
46 Correct 1000 ms 30548 KB Output is correct
47 Correct 250 ms 26216 KB Output is correct
48 Correct 187 ms 29832 KB Output is correct
49 Correct 629 ms 20024 KB Output is correct
50 Correct 298 ms 24880 KB Output is correct
51 Correct 506 ms 32300 KB Output is correct