oj.uz

Submission #796649

# Submission time Handle Problem Language Result Execution time Memory
796649 2023-07-28T15:16:18 Z rnl42 Mergers (JOI19_mergers) C++14
70 / 100
 261 ms 125044 KB 
#include <iostream>
#include <vector>
#include <algorithm>
#include <numeric>
using namespace std;

const int MAXN = 5e5;

int N, K;
int dist[MAXN];
vector<int> adj[MAXN];
int group_of[MAXN];
vector<int> members[MAXN];
struct lcatreeitem {
    int i;
    lcatreeitem& operator=(int other) {
        i = other;
        return *this;
    }
    operator int() const {
        return i;
    }
    bool operator<(const lcatreeitem& other) const {
        if (i == -1) return false;
        else if (other.i == -1) return true;
        else return dist[i] < dist[other.i];
    }
} lcatree[1<<20];
int first[MAXN];
int lcatree_i = 0;
const int lcatree_shift = 1<<19;
int mergeuntil[MAXN];
bool penible[MAXN];

int uf[MAXN];

int root(int u) {
    return uf[u] == u ? u : uf[u] = root(uf[u]);
}
void merge(int u, int v) {
    if (dist[u] > dist[v]) {
        swap(u, v);
    }
    uf[root(v)] = root(u);
}

void dfs(int u) {
    first[u] = lcatree_i;
    lcatree[lcatree_shift+lcatree_i++] = u;
    for (int v : adj[u]) {
        adj[v].erase(find(adj[v].begin(), adj[v].end(), u));
        dist[v] = dist[u]+1;
        dfs(v);
        lcatree[lcatree_shift+lcatree_i++] = u;
    }
}

int dfs2(int u) {
    int ret = mergeuntil[u];
    for (int v : adj[u]) {
        int r = dfs2(v);
        if (dist[r] < dist[ret]) ret = r;
        if (r != v) {
            merge(v, u);
        }
    }
    return ret;
}

int lca(int u, int v) {
    if (first[u] > first[v]) swap(u, v);
    int l = lcatree_shift+first[u], r = lcatree_shift+first[v]+1;
    lcatreeitem ret;
    ret = -1;
    for (; l < r; l >>= 1, r >>= 1) {
        if (l&1) {
            ret = min(ret, lcatree[l++]);
        }
        if (r&1) {
            ret = min(ret, lcatree[--r]);
        }
    }
    //cerr << "lca(" << u << ", " << v << ") = " << (int)ret << '\n';
    return ret;
}

int dfs3(int u) {
    int ret = 0;
    for (int v : adj[u]) {
        ret += dfs3(v);
    }
    ret = max(ret, (int)penible[u]);
    return ret;
}

signed main() {
    ios::sync_with_stdio(false), cin.tie(0), cout.tie(0);
    cin >> N >> K;
    //dist.resize(N);
    //adj.resize(N);
    //first.resize(N);
    //group_of.resize(N);
    //members.resize(K);
    //lcatree.resize(1<<20);
    //uf.resize(N);
    //mergeuntil.resize(N);
    //penible.resize(N);
    iota(mergeuntil, mergeuntil+N, 0);
    iota(uf, uf+N, 0);
    int u, v;
    for (int i = 0; i < N-1; i++) {
        cin >> u >> v, u--, v--;
        adj[u].push_back(v);
        adj[v].push_back(u);
    }
    for (int i = 0; i < N; i++) {
        cin >> group_of[i], group_of[i]--;
        members[group_of[i]].push_back(i);
    }
    dfs(0);
    for (int i = lcatree_shift-1; i > 0; i--) {
        lcatree[i] = min(lcatree[2*i], lcatree[2*i+1]);
    }
    for (int g = 0; g < K; g++) {
        int a = members[g][0];
        for (auto m : members[g]) {
            a = lca(a, m);
        }
        for (auto m : members[g]) {
            mergeuntil[m] = a;
        }
    }
    dfs2(0);
    bool plus1 = false;
    int lcapenible = -1;
    for (int i = 1; i < N; i++) {
        if (root(i) == i) {
            if (lcapenible == -1) lcapenible = i;
            else lcapenible = lca(lcapenible, i);
            penible[i] = true;
        }
    }
    for (int i = 1; i < N; i++) {
        if (penible[i]) {
            if (lca(lcapenible, i) == i) {
                plus1 = true;
                break;
            }
        }
    }
    int ans = dfs3(0)+plus1;
    cout << ((ans+1)>>1) << '\n';
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 25812 KB Output is correct
2 Correct 13 ms 25812 KB Output is correct
3 Correct 13 ms 25812 KB Output is correct
4 Correct 14 ms 25828 KB Output is correct
5 Correct 13 ms 25812 KB Output is correct
6 Correct 14 ms 25812 KB Output is correct
7 Correct 14 ms 25812 KB Output is correct
8 Correct 14 ms 25812 KB Output is correct
9 Correct 14 ms 25812 KB Output is correct
10 Correct 13 ms 25836 KB Output is correct
11 Correct 14 ms 25852 KB Output is correct
12 Correct 13 ms 25812 KB Output is correct
13 Correct 12 ms 25812 KB Output is correct
14 Correct 13 ms 25812 KB Output is correct
15 Correct 14 ms 25920 KB Output is correct
16 Correct 12 ms 25812 KB Output is correct
17 Correct 14 ms 25812 KB Output is correct
18 Correct 13 ms 25916 KB Output is correct
19 Correct 13 ms 25812 KB Output is correct
20 Correct 13 ms 25900 KB Output is correct
21 Correct 13 ms 25812 KB Output is correct
22 Correct 12 ms 25868 KB Output is correct
23 Correct 14 ms 25904 KB Output is correct
24 Correct 13 ms 25976 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 25812 KB Output is correct
2 Correct 13 ms 25812 KB Output is correct
3 Correct 13 ms 25812 KB Output is correct
4 Correct 14 ms 25828 KB Output is correct
5 Correct 13 ms 25812 KB Output is correct
6 Correct 14 ms 25812 KB Output is correct
7 Correct 14 ms 25812 KB Output is correct
8 Correct 14 ms 25812 KB Output is correct
9 Correct 14 ms 25812 KB Output is correct
10 Correct 13 ms 25836 KB Output is correct
11 Correct 14 ms 25852 KB Output is correct
12 Correct 13 ms 25812 KB Output is correct
13 Correct 12 ms 25812 KB Output is correct
14 Correct 13 ms 25812 KB Output is correct
15 Correct 14 ms 25920 KB Output is correct
16 Correct 12 ms 25812 KB Output is correct
17 Correct 14 ms 25812 KB Output is correct
18 Correct 13 ms 25916 KB Output is correct
19 Correct 13 ms 25812 KB Output is correct
20 Correct 13 ms 25900 KB Output is correct
21 Correct 13 ms 25812 KB Output is correct
22 Correct 12 ms 25868 KB Output is correct
23 Correct 14 ms 25904 KB Output is correct
24 Correct 13 ms 25976 KB Output is correct
25 Correct 13 ms 25828 KB Output is correct
26 Correct 14 ms 26148 KB Output is correct
27 Correct 14 ms 26068 KB Output is correct
28 Correct 14 ms 26196 KB Output is correct
29 Correct 15 ms 26068 KB Output is correct
30 Correct 15 ms 26044 KB Output is correct
31 Correct 14 ms 25816 KB Output is correct
32 Correct 14 ms 26324 KB Output is correct
33 Correct 15 ms 25812 KB Output is correct
34 Correct 16 ms 26068 KB Output is correct
35 Correct 15 ms 26068 KB Output is correct
36 Correct 18 ms 26068 KB Output is correct
37 Correct 15 ms 26108 KB Output is correct
38 Correct 19 ms 25848 KB Output is correct
39 Correct 15 ms 26068 KB Output is correct
40 Correct 14 ms 26068 KB Output is correct
41 Correct 14 ms 26064 KB Output is correct
42 Correct 14 ms 26068 KB Output is correct
43 Correct 15 ms 26244 KB Output is correct
44 Correct 13 ms 25904 KB Output is correct
45 Correct 15 ms 26196 KB Output is correct
46 Correct 15 ms 26108 KB Output is correct
47 Correct 15 ms 25812 KB Output is correct
48 Correct 14 ms 26000 KB Output is correct
49 Correct 14 ms 26160 KB Output is correct
50 Correct 16 ms 26232 KB Output is correct
51 Correct 14 ms 26068 KB Output is correct
52 Correct 14 ms 26068 KB Output is correct
53 Correct 15 ms 26100 KB Output is correct
54 Correct 14 ms 26068 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 25812 KB Output is correct
2 Correct 13 ms 25812 KB Output is correct
3 Correct 13 ms 25812 KB Output is correct
4 Correct 14 ms 25828 KB Output is correct
5 Correct 13 ms 25812 KB Output is correct
6 Correct 14 ms 25812 KB Output is correct
7 Correct 14 ms 25812 KB Output is correct
8 Correct 14 ms 25812 KB Output is correct
9 Correct 14 ms 25812 KB Output is correct
10 Correct 13 ms 25836 KB Output is correct
11 Correct 14 ms 25852 KB Output is correct
12 Correct 13 ms 25812 KB Output is correct
13 Correct 12 ms 25812 KB Output is correct
14 Correct 13 ms 25812 KB Output is correct
15 Correct 14 ms 25920 KB Output is correct
16 Correct 12 ms 25812 KB Output is correct
17 Correct 14 ms 25812 KB Output is correct
18 Correct 13 ms 25916 KB Output is correct
19 Correct 13 ms 25812 KB Output is correct
20 Correct 13 ms 25900 KB Output is correct
21 Correct 13 ms 25812 KB Output is correct
22 Correct 12 ms 25868 KB Output is correct
23 Correct 14 ms 25904 KB Output is correct
24 Correct 13 ms 25976 KB Output is correct
25 Correct 15 ms 25800 KB Output is correct
26 Correct 51 ms 32680 KB Output is correct
27 Correct 87 ms 32300 KB Output is correct
28 Correct 14 ms 26068 KB Output is correct
29 Correct 13 ms 25916 KB Output is correct
30 Correct 13 ms 25916 KB Output is correct
31 Correct 61 ms 32436 KB Output is correct
32 Correct 16 ms 26200 KB Output is correct
33 Correct 69 ms 39456 KB Output is correct
34 Correct 64 ms 32332 KB Output is correct
35 Correct 15 ms 26112 KB Output is correct
36 Correct 69 ms 33104 KB Output is correct
37 Correct 17 ms 26108 KB Output is correct
38 Correct 14 ms 26100 KB Output is correct
39 Correct 51 ms 32668 KB Output is correct
40 Correct 14 ms 26292 KB Output is correct
41 Correct 65 ms 32276 KB Output is correct
42 Correct 65 ms 34636 KB Output is correct
43 Correct 14 ms 25876 KB Output is correct
44 Correct 79 ms 39844 KB Output is correct
45 Correct 76 ms 36052 KB Output is correct
46 Correct 15 ms 26044 KB Output is correct
47 Correct 14 ms 26068 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 51 ms 32712 KB Output is correct
2 Correct 69 ms 35352 KB Output is correct
3 Correct 15 ms 26068 KB Output is correct
4 Correct 15 ms 26068 KB Output is correct
5 Correct 14 ms 25812 KB Output is correct
6 Correct 14 ms 25888 KB Output is correct
7 Correct 16 ms 26004 KB Output is correct
8 Correct 71 ms 33548 KB Output is correct
9 Correct 15 ms 26068 KB Output is correct
10 Correct 61 ms 32460 KB Output is correct
11 Correct 14 ms 25812 KB Output is correct
12 Correct 66 ms 32384 KB Output is correct
13 Correct 84 ms 33484 KB Output is correct
14 Correct 83 ms 35036 KB Output is correct
15 Correct 63 ms 32580 KB Output is correct
16 Correct 14 ms 26144 KB Output is correct
17 Correct 14 ms 25812 KB Output is correct
18 Correct 67 ms 34976 KB Output is correct
19 Correct 90 ms 38992 KB Output is correct
20 Correct 15 ms 26052 KB Output is correct
21 Correct 14 ms 25892 KB Output is correct
22 Correct 60 ms 33780 KB Output is correct
23 Correct 15 ms 26052 KB Output is correct
24 Correct 75 ms 32792 KB Output is correct
25 Correct 87 ms 37592 KB Output is correct
26 Correct 15 ms 26196 KB Output is correct
27 Correct 18 ms 26224 KB Output is correct
28 Correct 14 ms 26068 KB Output is correct
29 Correct 15 ms 26068 KB Output is correct
30 Correct 15 ms 26108 KB Output is correct

Subtask #5
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 25812 KB Output is correct
2 Correct 13 ms 25812 KB Output is correct
3 Correct 13 ms 25812 KB Output is correct
4 Correct 14 ms 25828 KB Output is correct
5 Correct 13 ms 25812 KB Output is correct
6 Correct 14 ms 25812 KB Output is correct
7 Correct 14 ms 25812 KB Output is correct
8 Correct 14 ms 25812 KB Output is correct
9 Correct 14 ms 25812 KB Output is correct
10 Correct 13 ms 25836 KB Output is correct
11 Correct 14 ms 25852 KB Output is correct
12 Correct 13 ms 25812 KB Output is correct
13 Correct 12 ms 25812 KB Output is correct
14 Correct 13 ms 25812 KB Output is correct
15 Correct 14 ms 25920 KB Output is correct
16 Correct 12 ms 25812 KB Output is correct
17 Correct 14 ms 25812 KB Output is correct
18 Correct 13 ms 25916 KB Output is correct
19 Correct 13 ms 25812 KB Output is correct
20 Correct 13 ms 25900 KB Output is correct
21 Correct 13 ms 25812 KB Output is correct
22 Correct 12 ms 25868 KB Output is correct
23 Correct 14 ms 25904 KB Output is correct
24 Correct 13 ms 25976 KB Output is correct
25 Correct 13 ms 25828 KB Output is correct
26 Correct 14 ms 26148 KB Output is correct
27 Correct 14 ms 26068 KB Output is correct
28 Correct 14 ms 26196 KB Output is correct
29 Correct 15 ms 26068 KB Output is correct
30 Correct 15 ms 26044 KB Output is correct
31 Correct 14 ms 25816 KB Output is correct
32 Correct 14 ms 26324 KB Output is correct
33 Correct 15 ms 25812 KB Output is correct
34 Correct 16 ms 26068 KB Output is correct
35 Correct 15 ms 26068 KB Output is correct
36 Correct 18 ms 26068 KB Output is correct
37 Correct 15 ms 26108 KB Output is correct
38 Correct 19 ms 25848 KB Output is correct
39 Correct 15 ms 26068 KB Output is correct
40 Correct 14 ms 26068 KB Output is correct
41 Correct 14 ms 26064 KB Output is correct
42 Correct 14 ms 26068 KB Output is correct
43 Correct 15 ms 26244 KB Output is correct
44 Correct 13 ms 25904 KB Output is correct
45 Correct 15 ms 26196 KB Output is correct
46 Correct 15 ms 26108 KB Output is correct
47 Correct 15 ms 25812 KB Output is correct
48 Correct 14 ms 26000 KB Output is correct
49 Correct 14 ms 26160 KB Output is correct
50 Correct 16 ms 26232 KB Output is correct
51 Correct 14 ms 26068 KB Output is correct
52 Correct 14 ms 26068 KB Output is correct
53 Correct 15 ms 26100 KB Output is correct
54 Correct 14 ms 26068 KB Output is correct
55 Correct 15 ms 25800 KB Output is correct
56 Correct 51 ms 32680 KB Output is correct
57 Correct 87 ms 32300 KB Output is correct
58 Correct 14 ms 26068 KB Output is correct
59 Correct 13 ms 25916 KB Output is correct
60 Correct 13 ms 25916 KB Output is correct
61 Correct 61 ms 32436 KB Output is correct
62 Correct 16 ms 26200 KB Output is correct
63 Correct 69 ms 39456 KB Output is correct
64 Correct 64 ms 32332 KB Output is correct
65 Correct 15 ms 26112 KB Output is correct
66 Correct 69 ms 33104 KB Output is correct
67 Correct 17 ms 26108 KB Output is correct
68 Correct 14 ms 26100 KB Output is correct
69 Correct 51 ms 32668 KB Output is correct
70 Correct 14 ms 26292 KB Output is correct
71 Correct 65 ms 32276 KB Output is correct
72 Correct 65 ms 34636 KB Output is correct
73 Correct 14 ms 25876 KB Output is correct
74 Correct 79 ms 39844 KB Output is correct
75 Correct 76 ms 36052 KB Output is correct
76 Correct 15 ms 26044 KB Output is correct
77 Correct 14 ms 26068 KB Output is correct
78 Correct 51 ms 32712 KB Output is correct
79 Correct 69 ms 35352 KB Output is correct
80 Correct 15 ms 26068 KB Output is correct
81 Correct 15 ms 26068 KB Output is correct
82 Correct 14 ms 25812 KB Output is correct
83 Correct 14 ms 25888 KB Output is correct
84 Correct 16 ms 26004 KB Output is correct
85 Correct 71 ms 33548 KB Output is correct
86 Correct 15 ms 26068 KB Output is correct
87 Correct 61 ms 32460 KB Output is correct
88 Correct 14 ms 25812 KB Output is correct
89 Correct 66 ms 32384 KB Output is correct
90 Correct 84 ms 33484 KB Output is correct
91 Correct 83 ms 35036 KB Output is correct
92 Correct 63 ms 32580 KB Output is correct
93 Correct 14 ms 26144 KB Output is correct
94 Correct 14 ms 25812 KB Output is correct
95 Correct 67 ms 34976 KB Output is correct
96 Correct 90 ms 38992 KB Output is correct
97 Correct 15 ms 26052 KB Output is correct
98 Correct 14 ms 25892 KB Output is correct
99 Correct 60 ms 33780 KB Output is correct
100 Correct 15 ms 26052 KB Output is correct
101 Correct 75 ms 32792 KB Output is correct
102 Correct 87 ms 37592 KB Output is correct
103 Correct 15 ms 26196 KB Output is correct
104 Correct 18 ms 26224 KB Output is correct
105 Correct 14 ms 26068 KB Output is correct
106 Correct 15 ms 26068 KB Output is correct
107 Correct 15 ms 26108 KB Output is correct
108 Runtime error 261 ms 125044 KB Execution killed with signal 7
109 Halted 0 ms 0 KB -