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Submission #852832

# Submission time Handle Problem Language Result Execution time Memory
852832 2023-09-22T20:02:57 Z anton Mergers (JOI19_mergers) C++17
100 / 100
 1078 ms 161220 KB 
#include<bits/stdc++.h>

using namespace std;
#define int long long 
#define pii pair<int, int>

int n, k;
const int MAX_N = 500'000;
const int MAX_K = 500'000;

const int INF = 1e18;

int res = 0;

vector<int> adj[MAX_N];
vector<int> mem[MAX_N];
int group[MAX_N];
int anc[MAX_N];

int group_lca[MAX_K];

int depth[MAX_N];



void dfs(int u, int a, int d){
    //cout<<"dfs "<<u<<endl;
    anc[u] = a;
    depth[u] = d;
    for(auto v: adj[u]){
        if(v!=a){
            dfs(v, u, d+1);
        }
    }
}

int bl[19][MAX_N];

void build_bl(){
    for(int i = 0; i<n; i++){
        bl[0][i] =anc[i];
    }

    for(int i = 1; i<19; i++){
        for(int j = 0; j<n; j++){
            bl[i][j] = bl[i-1][bl[i-1][j]];
        }
    }
}

int lca(int a, int b){

    if(a==-1){
        return b;
    }
    if(b==-1){
        return a;
    }

    if(depth[a]>depth[b]){
        return lca(b, a);
    }
    for(int step = 18; step>=0; step--){
        if(depth[bl[step][b]]>=depth[a]){
            b = bl[step][b];
        }
    }

    if(a==b){
        return a;
    }

    for(int step = 18; step>=0; step--){
        if(bl[step][a] != bl[step][b]){
            a = bl[step][a];
            b=  bl[step][b];
        }
    }

    return bl[0][a]; 
}

bool is_free[MAX_N];

int nbf = 0;
int dfs2(int u){
    int min_d = INF;

    min_d= min(min_d, depth[group_lca[group[u]]]);

    for(auto v: adj[u]){
        if(v!= anc[u]){
            min_d= min(min_d, dfs2(v));
        }
    }

    if(min_d >= depth[u]){
        is_free[u] = true;
        nbf++;
    }
    return min_d;
}

pii dfs3(int u){
    pii s=  pii(0, 0);

    for(auto v: adj[u]){
        if(v!=anc[u]){
            auto r=dfs3(v);
            s.first += r.first;
            s.second += r.second;
        }
    }

    if((s.second == nbf-1|| s.first==0) && is_free[u]){
        res++;
    }
    //cout<<3<<" "<<u<<" "<<s<<endl;

    if(is_free[u]){
        s.first = 1;
        s.second++;
    }
    return s;
}

signed main(){
    cin>>n>>k;

    fill(group_lca, group_lca + MAX_K, -1);

    for(int i = 0; i<n-1; i++){
        int a, b;
        cin>>a>>b;
        adj[a-1].push_back(b-1);
        adj[b-1].push_back(a-1);
    }

    dfs(0, 0, 0);

    build_bl();

    for(int i = 0; i<n; i++){
        cin>>group[i];
        group[i]--;
    }

    for(int i = 0; i<n; i++){
        group_lca[group[i]] = lca(group_lca[group[i]], i);
    }

    dfs2(0);
    is_free[0] = false;
    nbf--;
    dfs3(0);
    cout<<(res+1)/2<<endl;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 73048 KB Output is correct
2 Correct 11 ms 73052 KB Output is correct
3 Correct 12 ms 73048 KB Output is correct
4 Correct 10 ms 73052 KB Output is correct
5 Correct 11 ms 73116 KB Output is correct
6 Correct 11 ms 73052 KB Output is correct
7 Correct 11 ms 73052 KB Output is correct
8 Correct 11 ms 73052 KB Output is correct
9 Correct 11 ms 73052 KB Output is correct
10 Correct 10 ms 73052 KB Output is correct
11 Correct 11 ms 73048 KB Output is correct
12 Correct 11 ms 73052 KB Output is correct
13 Correct 10 ms 73052 KB Output is correct
14 Correct 11 ms 73048 KB Output is correct
15 Correct 11 ms 73052 KB Output is correct
16 Correct 11 ms 73052 KB Output is correct
17 Correct 10 ms 73048 KB Output is correct
18 Correct 11 ms 73052 KB Output is correct
19 Correct 11 ms 73052 KB Output is correct
20 Correct 11 ms 73304 KB Output is correct
21 Correct 11 ms 73184 KB Output is correct
22 Correct 12 ms 73052 KB Output is correct
23 Correct 10 ms 73052 KB Output is correct
24 Correct 10 ms 73052 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 73048 KB Output is correct
2 Correct 11 ms 73052 KB Output is correct
3 Correct 12 ms 73048 KB Output is correct
4 Correct 10 ms 73052 KB Output is correct
5 Correct 11 ms 73116 KB Output is correct
6 Correct 11 ms 73052 KB Output is correct
7 Correct 11 ms 73052 KB Output is correct
8 Correct 11 ms 73052 KB Output is correct
9 Correct 11 ms 73052 KB Output is correct
10 Correct 10 ms 73052 KB Output is correct
11 Correct 11 ms 73048 KB Output is correct
12 Correct 11 ms 73052 KB Output is correct
13 Correct 10 ms 73052 KB Output is correct
14 Correct 11 ms 73048 KB Output is correct
15 Correct 11 ms 73052 KB Output is correct
16 Correct 11 ms 73052 KB Output is correct
17 Correct 10 ms 73048 KB Output is correct
18 Correct 11 ms 73052 KB Output is correct
19 Correct 11 ms 73052 KB Output is correct
20 Correct 11 ms 73304 KB Output is correct
21 Correct 11 ms 73184 KB Output is correct
22 Correct 12 ms 73052 KB Output is correct
23 Correct 10 ms 73052 KB Output is correct
24 Correct 10 ms 73052 KB Output is correct
25 Correct 11 ms 73204 KB Output is correct
26 Correct 13 ms 73360 KB Output is correct
27 Correct 13 ms 73308 KB Output is correct
28 Correct 13 ms 73416 KB Output is correct
29 Correct 14 ms 73308 KB Output is correct
30 Correct 12 ms 73308 KB Output is correct
31 Correct 11 ms 73052 KB Output is correct
32 Correct 13 ms 73304 KB Output is correct
33 Correct 10 ms 73048 KB Output is correct
34 Correct 12 ms 73308 KB Output is correct
35 Correct 13 ms 73308 KB Output is correct
36 Correct 14 ms 73308 KB Output is correct
37 Correct 13 ms 73304 KB Output is correct
38 Correct 12 ms 73052 KB Output is correct
39 Correct 13 ms 73308 KB Output is correct
40 Correct 14 ms 73308 KB Output is correct
41 Correct 13 ms 73312 KB Output is correct
42 Correct 12 ms 73304 KB Output is correct
43 Correct 13 ms 73304 KB Output is correct
44 Correct 11 ms 73052 KB Output is correct
45 Correct 13 ms 73308 KB Output is correct
46 Correct 13 ms 73308 KB Output is correct
47 Correct 11 ms 73052 KB Output is correct
48 Correct 13 ms 73308 KB Output is correct
49 Correct 12 ms 73308 KB Output is correct
50 Correct 12 ms 73308 KB Output is correct
51 Correct 15 ms 73140 KB Output is correct
52 Correct 12 ms 73140 KB Output is correct
53 Correct 12 ms 73308 KB Output is correct
54 Correct 13 ms 73304 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 73048 KB Output is correct
2 Correct 11 ms 73052 KB Output is correct
3 Correct 12 ms 73048 KB Output is correct
4 Correct 10 ms 73052 KB Output is correct
5 Correct 11 ms 73116 KB Output is correct
6 Correct 11 ms 73052 KB Output is correct
7 Correct 11 ms 73052 KB Output is correct
8 Correct 11 ms 73052 KB Output is correct
9 Correct 11 ms 73052 KB Output is correct
10 Correct 10 ms 73052 KB Output is correct
11 Correct 11 ms 73048 KB Output is correct
12 Correct 11 ms 73052 KB Output is correct
13 Correct 10 ms 73052 KB Output is correct
14 Correct 11 ms 73048 KB Output is correct
15 Correct 11 ms 73052 KB Output is correct
16 Correct 11 ms 73052 KB Output is correct
17 Correct 10 ms 73048 KB Output is correct
18 Correct 11 ms 73052 KB Output is correct
19 Correct 11 ms 73052 KB Output is correct
20 Correct 11 ms 73304 KB Output is correct
21 Correct 11 ms 73184 KB Output is correct
22 Correct 12 ms 73052 KB Output is correct
23 Correct 10 ms 73052 KB Output is correct
24 Correct 10 ms 73052 KB Output is correct
25 Correct 11 ms 73052 KB Output is correct
26 Correct 80 ms 94748 KB Output is correct
27 Correct 96 ms 94632 KB Output is correct
28 Correct 14 ms 73304 KB Output is correct
29 Correct 11 ms 73048 KB Output is correct
30 Correct 11 ms 73304 KB Output is correct
31 Correct 102 ms 94804 KB Output is correct
32 Correct 13 ms 73304 KB Output is correct
33 Correct 122 ms 99924 KB Output is correct
34 Correct 98 ms 94556 KB Output is correct
35 Correct 13 ms 73308 KB Output is correct
36 Correct 119 ms 94804 KB Output is correct
37 Correct 14 ms 73304 KB Output is correct
38 Correct 13 ms 73304 KB Output is correct
39 Correct 80 ms 94788 KB Output is correct
40 Correct 13 ms 73304 KB Output is correct
41 Correct 94 ms 94548 KB Output is correct
42 Correct 104 ms 95884 KB Output is correct
43 Correct 10 ms 73048 KB Output is correct
44 Correct 100 ms 99916 KB Output is correct
45 Correct 107 ms 98552 KB Output is correct
46 Correct 14 ms 73308 KB Output is correct
47 Correct 13 ms 73308 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 80 ms 94844 KB Output is correct
2 Correct 85 ms 95176 KB Output is correct
3 Correct 13 ms 73308 KB Output is correct
4 Correct 12 ms 73308 KB Output is correct
5 Correct 13 ms 73156 KB Output is correct
6 Correct 11 ms 73048 KB Output is correct
7 Correct 14 ms 73308 KB Output is correct
8 Correct 131 ms 94952 KB Output is correct
9 Correct 13 ms 73304 KB Output is correct
10 Correct 114 ms 94800 KB Output is correct
11 Correct 10 ms 73052 KB Output is correct
12 Correct 115 ms 94384 KB Output is correct
13 Correct 173 ms 94840 KB Output is correct
14 Correct 102 ms 95140 KB Output is correct
15 Correct 86 ms 94788 KB Output is correct
16 Correct 13 ms 73308 KB Output is correct
17 Correct 10 ms 73116 KB Output is correct
18 Correct 102 ms 95244 KB Output is correct
19 Correct 107 ms 97720 KB Output is correct
20 Correct 13 ms 73304 KB Output is correct
21 Correct 11 ms 73052 KB Output is correct
22 Correct 106 ms 95264 KB Output is correct
23 Correct 13 ms 73308 KB Output is correct
24 Correct 121 ms 94644 KB Output is correct
25 Correct 98 ms 97692 KB Output is correct
26 Correct 12 ms 73308 KB Output is correct
27 Correct 13 ms 73304 KB Output is correct
28 Correct 13 ms 73308 KB Output is correct
29 Correct 13 ms 73304 KB Output is correct
30 Correct 13 ms 73304 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 73048 KB Output is correct
2 Correct 11 ms 73052 KB Output is correct
3 Correct 12 ms 73048 KB Output is correct
4 Correct 10 ms 73052 KB Output is correct
5 Correct 11 ms 73116 KB Output is correct
6 Correct 11 ms 73052 KB Output is correct
7 Correct 11 ms 73052 KB Output is correct
8 Correct 11 ms 73052 KB Output is correct
9 Correct 11 ms 73052 KB Output is correct
10 Correct 10 ms 73052 KB Output is correct
11 Correct 11 ms 73048 KB Output is correct
12 Correct 11 ms 73052 KB Output is correct
13 Correct 10 ms 73052 KB Output is correct
14 Correct 11 ms 73048 KB Output is correct
15 Correct 11 ms 73052 KB Output is correct
16 Correct 11 ms 73052 KB Output is correct
17 Correct 10 ms 73048 KB Output is correct
18 Correct 11 ms 73052 KB Output is correct
19 Correct 11 ms 73052 KB Output is correct
20 Correct 11 ms 73304 KB Output is correct
21 Correct 11 ms 73184 KB Output is correct
22 Correct 12 ms 73052 KB Output is correct
23 Correct 10 ms 73052 KB Output is correct
24 Correct 10 ms 73052 KB Output is correct
25 Correct 11 ms 73204 KB Output is correct
26 Correct 13 ms 73360 KB Output is correct
27 Correct 13 ms 73308 KB Output is correct
28 Correct 13 ms 73416 KB Output is correct
29 Correct 14 ms 73308 KB Output is correct
30 Correct 12 ms 73308 KB Output is correct
31 Correct 11 ms 73052 KB Output is correct
32 Correct 13 ms 73304 KB Output is correct
33 Correct 10 ms 73048 KB Output is correct
34 Correct 12 ms 73308 KB Output is correct
35 Correct 13 ms 73308 KB Output is correct
36 Correct 14 ms 73308 KB Output is correct
37 Correct 13 ms 73304 KB Output is correct
38 Correct 12 ms 73052 KB Output is correct
39 Correct 13 ms 73308 KB Output is correct
40 Correct 14 ms 73308 KB Output is correct
41 Correct 13 ms 73312 KB Output is correct
42 Correct 12 ms 73304 KB Output is correct
43 Correct 13 ms 73304 KB Output is correct
44 Correct 11 ms 73052 KB Output is correct
45 Correct 13 ms 73308 KB Output is correct
46 Correct 13 ms 73308 KB Output is correct
47 Correct 11 ms 73052 KB Output is correct
48 Correct 13 ms 73308 KB Output is correct
49 Correct 12 ms 73308 KB Output is correct
50 Correct 12 ms 73308 KB Output is correct
51 Correct 15 ms 73140 KB Output is correct
52 Correct 12 ms 73140 KB Output is correct
53 Correct 12 ms 73308 KB Output is correct
54 Correct 13 ms 73304 KB Output is correct
55 Correct 11 ms 73052 KB Output is correct
56 Correct 80 ms 94748 KB Output is correct
57 Correct 96 ms 94632 KB Output is correct
58 Correct 14 ms 73304 KB Output is correct
59 Correct 11 ms 73048 KB Output is correct
60 Correct 11 ms 73304 KB Output is correct
61 Correct 102 ms 94804 KB Output is correct
62 Correct 13 ms 73304 KB Output is correct
63 Correct 122 ms 99924 KB Output is correct
64 Correct 98 ms 94556 KB Output is correct
65 Correct 13 ms 73308 KB Output is correct
66 Correct 119 ms 94804 KB Output is correct
67 Correct 14 ms 73304 KB Output is correct
68 Correct 13 ms 73304 KB Output is correct
69 Correct 80 ms 94788 KB Output is correct
70 Correct 13 ms 73304 KB Output is correct
71 Correct 94 ms 94548 KB Output is correct
72 Correct 104 ms 95884 KB Output is correct
73 Correct 10 ms 73048 KB Output is correct
74 Correct 100 ms 99916 KB Output is correct
75 Correct 107 ms 98552 KB Output is correct
76 Correct 14 ms 73308 KB Output is correct
77 Correct 13 ms 73308 KB Output is correct
78 Correct 80 ms 94844 KB Output is correct
79 Correct 85 ms 95176 KB Output is correct
80 Correct 13 ms 73308 KB Output is correct
81 Correct 12 ms 73308 KB Output is correct
82 Correct 13 ms 73156 KB Output is correct
83 Correct 11 ms 73048 KB Output is correct
84 Correct 14 ms 73308 KB Output is correct
85 Correct 131 ms 94952 KB Output is correct
86 Correct 13 ms 73304 KB Output is correct
87 Correct 114 ms 94800 KB Output is correct
88 Correct 10 ms 73052 KB Output is correct
89 Correct 115 ms 94384 KB Output is correct
90 Correct 173 ms 94840 KB Output is correct
91 Correct 102 ms 95140 KB Output is correct
92 Correct 86 ms 94788 KB Output is correct
93 Correct 13 ms 73308 KB Output is correct
94 Correct 10 ms 73116 KB Output is correct
95 Correct 102 ms 95244 KB Output is correct
96 Correct 107 ms 97720 KB Output is correct
97 Correct 13 ms 73304 KB Output is correct
98 Correct 11 ms 73052 KB Output is correct
99 Correct 106 ms 95264 KB Output is correct
100 Correct 13 ms 73308 KB Output is correct
101 Correct 121 ms 94644 KB Output is correct
102 Correct 98 ms 97692 KB Output is correct
103 Correct 12 ms 73308 KB Output is correct
104 Correct 13 ms 73304 KB Output is correct
105 Correct 13 ms 73308 KB Output is correct
106 Correct 13 ms 73304 KB Output is correct
107 Correct 13 ms 73304 KB Output is correct
108 Correct 816 ms 143968 KB Output is correct
109 Correct 925 ms 152336 KB Output is correct
110 Correct 844 ms 161220 KB Output is correct
111 Correct 848 ms 158892 KB Output is correct
112 Correct 734 ms 156792 KB Output is correct
113 Correct 604 ms 144220 KB Output is correct
114 Correct 627 ms 140388 KB Output is correct
115 Correct 639 ms 140564 KB Output is correct
116 Correct 1063 ms 142592 KB Output is correct
117 Correct 645 ms 143068 KB Output is correct
118 Correct 715 ms 141020 KB Output is correct
119 Correct 657 ms 143144 KB Output is correct
120 Correct 771 ms 157460 KB Output is correct
121 Correct 722 ms 143112 KB Output is correct
122 Correct 1078 ms 142968 KB Output is correct
123 Correct 460 ms 144052 KB Output is correct
124 Correct 776 ms 139764 KB Output is correct