oj.uz

Submission #512634

# Submission time Handle Problem Language Result Execution time Memory
512634 2022-01-16T14:56:54 Z couplefire Mergers (JOI19_mergers) C++17
100 / 100
 922 ms 137568 KB 
#include <bits/stdc++.h>
using namespace std;

const int N = 500005;

int n, k;
vector<int> states[N];
vector<int> adj[N];
int tin[N], tout[N], tid;
int up[N][20], dif[N];
int cnt[N], ans, huh[N];

void dfs1(int v, int p){
    up[v][0] = p;
    for(int i = 1; i<20; ++i)
        up[v][i] = up[up[v][i-1]][i-1];
    tin[v] = ++tid;
    for(auto u : adj[v])
        if(u!=p) dfs1(u, v);
    tout[v] = tid;
}

bool is_fa(int u, int v){
    return tin[u]<=tin[v] && tout[v]<=tout[u];
}

int lca(int u, int v){
    if(is_fa(u, v)) return u;
    if(is_fa(v, u)) return v;
    for(int i = 19; i>=0; --i)
        if(!is_fa(up[u][i], v)) 
            u = up[u][i];
    return up[u][0];
}

int dfs2(int v, int p){
    int sum = dif[v];
    for(auto u : adj[v]){
        if(u==p) continue;
        sum += dfs2(u, v);
        cnt[v] += cnt[u];
    }
    huh[v] = sum;
    if(v==0) return sum;
    cnt[v] += (sum==0);
    if(sum==0 && cnt[v]==1)
        ++ans;
    return sum;
}

int main(){
    // freopen("a.in", "r", stdin);
    cin.tie(0)->sync_with_stdio(0);
    cin >> n >> k;
    for(int i = 0; i<n-1; ++i){
        int u, v; cin >> u >> v;
        --u; --v;
        adj[u].push_back(v);
        adj[v].push_back(u);
    }
    for(int i = 0; i<n; ++i){
        int x; cin >> x; --x;
        states[x].push_back(i);
    }
    dfs1(0, 0);
    for(int i = 0; i<k; ++i){
        int top = states[i][0];
        for(auto v : states[i])
            top = lca(top, v);
        for(auto v : states[i])
            ++dif[v], --dif[top];
    }
    dfs2(0, 0);
    for(int i = 1; i<n; ++i)
        if(huh[i]==0 && cnt[i]==cnt[0])
            ++ans;
    cout << (ans+1)/2 << '\n';
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 23756 KB Output is correct
2 Correct 13 ms 23812 KB Output is correct
3 Correct 14 ms 23816 KB Output is correct
4 Correct 13 ms 23756 KB Output is correct
5 Correct 12 ms 23808 KB Output is correct
6 Correct 12 ms 23812 KB Output is correct
7 Correct 12 ms 23756 KB Output is correct
8 Correct 12 ms 23804 KB Output is correct
9 Correct 12 ms 23744 KB Output is correct
10 Correct 11 ms 23756 KB Output is correct
11 Correct 11 ms 23788 KB Output is correct
12 Correct 11 ms 23796 KB Output is correct
13 Correct 12 ms 23756 KB Output is correct
14 Correct 13 ms 23808 KB Output is correct
15 Correct 12 ms 23808 KB Output is correct
16 Correct 13 ms 23756 KB Output is correct
17 Correct 13 ms 23852 KB Output is correct
18 Correct 13 ms 23808 KB Output is correct
19 Correct 18 ms 23724 KB Output is correct
20 Correct 16 ms 23808 KB Output is correct
21 Correct 12 ms 23756 KB Output is correct
22 Correct 12 ms 23756 KB Output is correct
23 Correct 13 ms 23848 KB Output is correct
24 Correct 13 ms 24004 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 23756 KB Output is correct
2 Correct 13 ms 23812 KB Output is correct
3 Correct 14 ms 23816 KB Output is correct
4 Correct 13 ms 23756 KB Output is correct
5 Correct 12 ms 23808 KB Output is correct
6 Correct 12 ms 23812 KB Output is correct
7 Correct 12 ms 23756 KB Output is correct
8 Correct 12 ms 23804 KB Output is correct
9 Correct 12 ms 23744 KB Output is correct
10 Correct 11 ms 23756 KB Output is correct
11 Correct 11 ms 23788 KB Output is correct
12 Correct 11 ms 23796 KB Output is correct
13 Correct 12 ms 23756 KB Output is correct
14 Correct 13 ms 23808 KB Output is correct
15 Correct 12 ms 23808 KB Output is correct
16 Correct 13 ms 23756 KB Output is correct
17 Correct 13 ms 23852 KB Output is correct
18 Correct 13 ms 23808 KB Output is correct
19 Correct 18 ms 23724 KB Output is correct
20 Correct 16 ms 23808 KB Output is correct
21 Correct 12 ms 23756 KB Output is correct
22 Correct 12 ms 23756 KB Output is correct
23 Correct 13 ms 23848 KB Output is correct
24 Correct 13 ms 24004 KB Output is correct
25 Correct 12 ms 23756 KB Output is correct
26 Correct 14 ms 24268 KB Output is correct
27 Correct 12 ms 24272 KB Output is correct
28 Correct 13 ms 24404 KB Output is correct
29 Correct 13 ms 24332 KB Output is correct
30 Correct 14 ms 24268 KB Output is correct
31 Correct 12 ms 23756 KB Output is correct
32 Correct 15 ms 24520 KB Output is correct
33 Correct 12 ms 23756 KB Output is correct
34 Correct 16 ms 24200 KB Output is correct
35 Correct 14 ms 24308 KB Output is correct
36 Correct 16 ms 24192 KB Output is correct
37 Correct 14 ms 24208 KB Output is correct
38 Correct 12 ms 23784 KB Output is correct
39 Correct 14 ms 24268 KB Output is correct
40 Correct 13 ms 24208 KB Output is correct
41 Correct 13 ms 24252 KB Output is correct
42 Correct 13 ms 24256 KB Output is correct
43 Correct 15 ms 24524 KB Output is correct
44 Correct 12 ms 23828 KB Output is correct
45 Correct 14 ms 24332 KB Output is correct
46 Correct 14 ms 24280 KB Output is correct
47 Correct 12 ms 23800 KB Output is correct
48 Correct 14 ms 24268 KB Output is correct
49 Correct 14 ms 24320 KB Output is correct
50 Correct 14 ms 24324 KB Output is correct
51 Correct 16 ms 24268 KB Output is correct
52 Correct 13 ms 24308 KB Output is correct
53 Correct 13 ms 24336 KB Output is correct
54 Correct 14 ms 24204 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 23756 KB Output is correct
2 Correct 13 ms 23812 KB Output is correct
3 Correct 14 ms 23816 KB Output is correct
4 Correct 13 ms 23756 KB Output is correct
5 Correct 12 ms 23808 KB Output is correct
6 Correct 12 ms 23812 KB Output is correct
7 Correct 12 ms 23756 KB Output is correct
8 Correct 12 ms 23804 KB Output is correct
9 Correct 12 ms 23744 KB Output is correct
10 Correct 11 ms 23756 KB Output is correct
11 Correct 11 ms 23788 KB Output is correct
12 Correct 11 ms 23796 KB Output is correct
13 Correct 12 ms 23756 KB Output is correct
14 Correct 13 ms 23808 KB Output is correct
15 Correct 12 ms 23808 KB Output is correct
16 Correct 13 ms 23756 KB Output is correct
17 Correct 13 ms 23852 KB Output is correct
18 Correct 13 ms 23808 KB Output is correct
19 Correct 18 ms 23724 KB Output is correct
20 Correct 16 ms 23808 KB Output is correct
21 Correct 12 ms 23756 KB Output is correct
22 Correct 12 ms 23756 KB Output is correct
23 Correct 13 ms 23848 KB Output is correct
24 Correct 13 ms 24004 KB Output is correct
25 Correct 12 ms 23768 KB Output is correct
26 Correct 77 ms 39096 KB Output is correct
27 Correct 88 ms 38712 KB Output is correct
28 Correct 14 ms 24260 KB Output is correct
29 Correct 12 ms 23756 KB Output is correct
30 Correct 13 ms 23776 KB Output is correct
31 Correct 101 ms 38776 KB Output is correct
32 Correct 14 ms 24260 KB Output is correct
33 Correct 127 ms 45860 KB Output is correct
34 Correct 102 ms 38828 KB Output is correct
35 Correct 13 ms 24204 KB Output is correct
36 Correct 104 ms 39508 KB Output is correct
37 Correct 14 ms 24268 KB Output is correct
38 Correct 14 ms 24260 KB Output is correct
39 Correct 68 ms 39000 KB Output is correct
40 Correct 14 ms 24460 KB Output is correct
41 Correct 87 ms 38784 KB Output is correct
42 Correct 124 ms 41156 KB Output is correct
43 Correct 12 ms 23832 KB Output is correct
44 Correct 110 ms 46192 KB Output is correct
45 Correct 111 ms 42544 KB Output is correct
46 Correct 14 ms 24204 KB Output is correct
47 Correct 14 ms 24236 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 74 ms 39152 KB Output is correct
2 Correct 84 ms 41968 KB Output is correct
3 Correct 14 ms 24312 KB Output is correct
4 Correct 14 ms 24268 KB Output is correct
5 Correct 12 ms 23808 KB Output is correct
6 Correct 16 ms 23804 KB Output is correct
7 Correct 14 ms 24256 KB Output is correct
8 Correct 113 ms 40112 KB Output is correct
9 Correct 18 ms 24268 KB Output is correct
10 Correct 95 ms 38916 KB Output is correct
11 Correct 12 ms 23796 KB Output is correct
12 Correct 120 ms 38908 KB Output is correct
13 Correct 108 ms 39964 KB Output is correct
14 Correct 112 ms 41608 KB Output is correct
15 Correct 66 ms 39020 KB Output is correct
16 Correct 14 ms 24200 KB Output is correct
17 Correct 12 ms 23816 KB Output is correct
18 Correct 84 ms 41700 KB Output is correct
19 Correct 135 ms 45628 KB Output is correct
20 Correct 14 ms 24260 KB Output is correct
21 Correct 12 ms 23756 KB Output is correct
22 Correct 82 ms 40320 KB Output is correct
23 Correct 14 ms 24260 KB Output is correct
24 Correct 111 ms 39300 KB Output is correct
25 Correct 114 ms 44224 KB Output is correct
26 Correct 15 ms 24268 KB Output is correct
27 Correct 16 ms 24324 KB Output is correct
28 Correct 19 ms 24196 KB Output is correct
29 Correct 13 ms 24256 KB Output is correct
30 Correct 14 ms 24284 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 23756 KB Output is correct
2 Correct 13 ms 23812 KB Output is correct
3 Correct 14 ms 23816 KB Output is correct
4 Correct 13 ms 23756 KB Output is correct
5 Correct 12 ms 23808 KB Output is correct
6 Correct 12 ms 23812 KB Output is correct
7 Correct 12 ms 23756 KB Output is correct
8 Correct 12 ms 23804 KB Output is correct
9 Correct 12 ms 23744 KB Output is correct
10 Correct 11 ms 23756 KB Output is correct
11 Correct 11 ms 23788 KB Output is correct
12 Correct 11 ms 23796 KB Output is correct
13 Correct 12 ms 23756 KB Output is correct
14 Correct 13 ms 23808 KB Output is correct
15 Correct 12 ms 23808 KB Output is correct
16 Correct 13 ms 23756 KB Output is correct
17 Correct 13 ms 23852 KB Output is correct
18 Correct 13 ms 23808 KB Output is correct
19 Correct 18 ms 23724 KB Output is correct
20 Correct 16 ms 23808 KB Output is correct
21 Correct 12 ms 23756 KB Output is correct
22 Correct 12 ms 23756 KB Output is correct
23 Correct 13 ms 23848 KB Output is correct
24 Correct 13 ms 24004 KB Output is correct
25 Correct 12 ms 23756 KB Output is correct
26 Correct 14 ms 24268 KB Output is correct
27 Correct 12 ms 24272 KB Output is correct
28 Correct 13 ms 24404 KB Output is correct
29 Correct 13 ms 24332 KB Output is correct
30 Correct 14 ms 24268 KB Output is correct
31 Correct 12 ms 23756 KB Output is correct
32 Correct 15 ms 24520 KB Output is correct
33 Correct 12 ms 23756 KB Output is correct
34 Correct 16 ms 24200 KB Output is correct
35 Correct 14 ms 24308 KB Output is correct
36 Correct 16 ms 24192 KB Output is correct
37 Correct 14 ms 24208 KB Output is correct
38 Correct 12 ms 23784 KB Output is correct
39 Correct 14 ms 24268 KB Output is correct
40 Correct 13 ms 24208 KB Output is correct
41 Correct 13 ms 24252 KB Output is correct
42 Correct 13 ms 24256 KB Output is correct
43 Correct 15 ms 24524 KB Output is correct
44 Correct 12 ms 23828 KB Output is correct
45 Correct 14 ms 24332 KB Output is correct
46 Correct 14 ms 24280 KB Output is correct
47 Correct 12 ms 23800 KB Output is correct
48 Correct 14 ms 24268 KB Output is correct
49 Correct 14 ms 24320 KB Output is correct
50 Correct 14 ms 24324 KB Output is correct
51 Correct 16 ms 24268 KB Output is correct
52 Correct 13 ms 24308 KB Output is correct
53 Correct 13 ms 24336 KB Output is correct
54 Correct 14 ms 24204 KB Output is correct
55 Correct 12 ms 23768 KB Output is correct
56 Correct 77 ms 39096 KB Output is correct
57 Correct 88 ms 38712 KB Output is correct
58 Correct 14 ms 24260 KB Output is correct
59 Correct 12 ms 23756 KB Output is correct
60 Correct 13 ms 23776 KB Output is correct
61 Correct 101 ms 38776 KB Output is correct
62 Correct 14 ms 24260 KB Output is correct
63 Correct 127 ms 45860 KB Output is correct
64 Correct 102 ms 38828 KB Output is correct
65 Correct 13 ms 24204 KB Output is correct
66 Correct 104 ms 39508 KB Output is correct
67 Correct 14 ms 24268 KB Output is correct
68 Correct 14 ms 24260 KB Output is correct
69 Correct 68 ms 39000 KB Output is correct
70 Correct 14 ms 24460 KB Output is correct
71 Correct 87 ms 38784 KB Output is correct
72 Correct 124 ms 41156 KB Output is correct
73 Correct 12 ms 23832 KB Output is correct
74 Correct 110 ms 46192 KB Output is correct
75 Correct 111 ms 42544 KB Output is correct
76 Correct 14 ms 24204 KB Output is correct
77 Correct 14 ms 24236 KB Output is correct
78 Correct 74 ms 39152 KB Output is correct
79 Correct 84 ms 41968 KB Output is correct
80 Correct 14 ms 24312 KB Output is correct
81 Correct 14 ms 24268 KB Output is correct
82 Correct 12 ms 23808 KB Output is correct
83 Correct 16 ms 23804 KB Output is correct
84 Correct 14 ms 24256 KB Output is correct
85 Correct 113 ms 40112 KB Output is correct
86 Correct 18 ms 24268 KB Output is correct
87 Correct 95 ms 38916 KB Output is correct
88 Correct 12 ms 23796 KB Output is correct
89 Correct 120 ms 38908 KB Output is correct
90 Correct 108 ms 39964 KB Output is correct
91 Correct 112 ms 41608 KB Output is correct
92 Correct 66 ms 39020 KB Output is correct
93 Correct 14 ms 24200 KB Output is correct
94 Correct 12 ms 23816 KB Output is correct
95 Correct 84 ms 41700 KB Output is correct
96 Correct 135 ms 45628 KB Output is correct
97 Correct 14 ms 24260 KB Output is correct
98 Correct 12 ms 23756 KB Output is correct
99 Correct 82 ms 40320 KB Output is correct
100 Correct 14 ms 24260 KB Output is correct
101 Correct 111 ms 39300 KB Output is correct
102 Correct 114 ms 44224 KB Output is correct
103 Correct 15 ms 24268 KB Output is correct
104 Correct 16 ms 24324 KB Output is correct
105 Correct 19 ms 24196 KB Output is correct
106 Correct 13 ms 24256 KB Output is correct
107 Correct 14 ms 24284 KB Output is correct
108 Correct 533 ms 106628 KB Output is correct
109 Correct 748 ms 116516 KB Output is correct
110 Correct 795 ms 127880 KB Output is correct
111 Correct 922 ms 137568 KB Output is correct
112 Correct 873 ms 127792 KB Output is correct
113 Correct 551 ms 114384 KB Output is correct
114 Correct 581 ms 98608 KB Output is correct
115 Correct 574 ms 98580 KB Output is correct
116 Correct 771 ms 103344 KB Output is correct
117 Correct 768 ms 114496 KB Output is correct
118 Correct 649 ms 99056 KB Output is correct
119 Correct 780 ms 114580 KB Output is correct
120 Correct 907 ms 128452 KB Output is correct
121 Correct 776 ms 114476 KB Output is correct
122 Correct 803 ms 108208 KB Output is correct
123 Correct 540 ms 115964 KB Output is correct
124 Correct 867 ms 112700 KB Output is correct