oj.uz

Submission #331849

# Submission time Handle Problem Language Result Execution time Memory
331849 2020-11-30T12:22:00 Z EndRay Mergers (JOI19_mergers) C++17
100 / 100
 1994 ms 96112 KB 
#include<bits/stdc++.h>

using namespace std;

const int N = 5e5+1, logN = 19+1;

int n, k;
vector<int> g[N];
int s[N];
int p[logN][N], h[N];

void dfs_init(int v=0, int pr=-1){
    for(int u : g[v]) if(u != pr){
        p[0][u] = v;
        h[u] = h[v]+1;
        dfs_init(u, v);
    }
}

void init(){
    p[0][0] = 0;
    h[0] = 0;
    dfs_init();
    for(int d = 1; d < logN; ++d)
        for(int i = 0; i < n; ++i)
            p[d][i] = p[d-1][p[d-1][i]];
}

int lca(int u, int v){
    if(h[u] < h[v])
        swap(u, v);
    int d = h[u] - h[v];
    for(int i = 0; i < logN; ++i)
        if((d&(1<<i)))
            u = p[i][u];
    for(int i = logN-1; i >= 0; --i)
        if(p[i][u] != p[i][v]){
            u = p[i][u];
            v = p[i][v];
        }
    return (u == v ? u : p[0][u]);
}

int color_lca[N];
int ans;

pair<int, int> dfs(int v=0, int pr=-1){
    int w = color_lca[s[v]];
    int deg = 0;
    for(int u : g[v]) if(u != pr){
        pair<int, int> l = dfs(u, v);
        w = lca(l.first, w);
        deg += l.second;
    }
    if(v == w){
        if(v) ++deg;
        if(deg == 1)
            ++ans;
        return {w, 1};
    }
    return {w, deg};
}

int main(){
    ios_base::sync_with_stdio(false);
    cout.tie(0);
    cin.tie(0);
    cin >> n >> k;
    for(int i = 0; i < n-1; ++i){
        int u, v;
        cin >> u >> v;
        --u; --v;
        g[u].push_back(v);
        g[v].push_back(u);
    }
    for(int i = 0; i < n; ++i){
        cin >> s[i];
        --s[i];
    }
    init();
    for(int i = 0; i < k; ++i)
        color_lca[i] = -1;
    for(int i = 0; i < n; ++i){
        if(color_lca[s[i]] == -1)
            color_lca[s[i]] = i;
        color_lca[s[i]] = lca(i, color_lca[s[i]]);
    }
    dfs();
    cout << (ans+1)/2 << "\n";
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 12268 KB Output is correct
2 Correct 10 ms 12268 KB Output is correct
3 Correct 9 ms 12268 KB Output is correct
4 Correct 9 ms 12268 KB Output is correct
5 Correct 10 ms 12268 KB Output is correct
6 Correct 9 ms 12268 KB Output is correct
7 Correct 9 ms 12268 KB Output is correct
8 Correct 9 ms 12268 KB Output is correct
9 Correct 9 ms 12268 KB Output is correct
10 Correct 9 ms 12268 KB Output is correct
11 Correct 10 ms 12300 KB Output is correct
12 Correct 9 ms 12268 KB Output is correct
13 Correct 9 ms 12268 KB Output is correct
14 Correct 9 ms 12268 KB Output is correct
15 Correct 10 ms 12396 KB Output is correct
16 Correct 9 ms 12268 KB Output is correct
17 Correct 9 ms 12268 KB Output is correct
18 Correct 9 ms 12268 KB Output is correct
19 Correct 9 ms 12268 KB Output is correct
20 Correct 10 ms 12268 KB Output is correct
21 Correct 9 ms 12268 KB Output is correct
22 Correct 9 ms 12268 KB Output is correct
23 Correct 10 ms 12268 KB Output is correct
24 Correct 9 ms 12268 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 12268 KB Output is correct
2 Correct 10 ms 12268 KB Output is correct
3 Correct 9 ms 12268 KB Output is correct
4 Correct 9 ms 12268 KB Output is correct
5 Correct 10 ms 12268 KB Output is correct
6 Correct 9 ms 12268 KB Output is correct
7 Correct 9 ms 12268 KB Output is correct
8 Correct 9 ms 12268 KB Output is correct
9 Correct 9 ms 12268 KB Output is correct
10 Correct 9 ms 12268 KB Output is correct
11 Correct 10 ms 12300 KB Output is correct
12 Correct 9 ms 12268 KB Output is correct
13 Correct 9 ms 12268 KB Output is correct
14 Correct 9 ms 12268 KB Output is correct
15 Correct 10 ms 12396 KB Output is correct
16 Correct 9 ms 12268 KB Output is correct
17 Correct 9 ms 12268 KB Output is correct
18 Correct 9 ms 12268 KB Output is correct
19 Correct 9 ms 12268 KB Output is correct
20 Correct 10 ms 12268 KB Output is correct
21 Correct 9 ms 12268 KB Output is correct
22 Correct 9 ms 12268 KB Output is correct
23 Correct 10 ms 12268 KB Output is correct
24 Correct 9 ms 12268 KB Output is correct
25 Correct 9 ms 12268 KB Output is correct
26 Correct 14 ms 12728 KB Output is correct
27 Correct 11 ms 12652 KB Output is correct
28 Correct 11 ms 12780 KB Output is correct
29 Correct 12 ms 12652 KB Output is correct
30 Correct 12 ms 12652 KB Output is correct
31 Correct 10 ms 12268 KB Output is correct
32 Correct 12 ms 12780 KB Output is correct
33 Correct 10 ms 12268 KB Output is correct
34 Correct 11 ms 12652 KB Output is correct
35 Correct 11 ms 12652 KB Output is correct
36 Correct 11 ms 12652 KB Output is correct
37 Correct 11 ms 12652 KB Output is correct
38 Correct 11 ms 12268 KB Output is correct
39 Correct 12 ms 12652 KB Output is correct
40 Correct 11 ms 12652 KB Output is correct
41 Correct 13 ms 12652 KB Output is correct
42 Correct 11 ms 12652 KB Output is correct
43 Correct 16 ms 12780 KB Output is correct
44 Correct 9 ms 12268 KB Output is correct
45 Correct 11 ms 12780 KB Output is correct
46 Correct 12 ms 12652 KB Output is correct
47 Correct 10 ms 12268 KB Output is correct
48 Correct 11 ms 12652 KB Output is correct
49 Correct 11 ms 12652 KB Output is correct
50 Correct 11 ms 12652 KB Output is correct
51 Correct 12 ms 12652 KB Output is correct
52 Correct 11 ms 12652 KB Output is correct
53 Correct 11 ms 12652 KB Output is correct
54 Correct 11 ms 12652 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 12268 KB Output is correct
2 Correct 10 ms 12268 KB Output is correct
3 Correct 9 ms 12268 KB Output is correct
4 Correct 9 ms 12268 KB Output is correct
5 Correct 10 ms 12268 KB Output is correct
6 Correct 9 ms 12268 KB Output is correct
7 Correct 9 ms 12268 KB Output is correct
8 Correct 9 ms 12268 KB Output is correct
9 Correct 9 ms 12268 KB Output is correct
10 Correct 9 ms 12268 KB Output is correct
11 Correct 10 ms 12300 KB Output is correct
12 Correct 9 ms 12268 KB Output is correct
13 Correct 9 ms 12268 KB Output is correct
14 Correct 9 ms 12268 KB Output is correct
15 Correct 10 ms 12396 KB Output is correct
16 Correct 9 ms 12268 KB Output is correct
17 Correct 9 ms 12268 KB Output is correct
18 Correct 9 ms 12268 KB Output is correct
19 Correct 9 ms 12268 KB Output is correct
20 Correct 10 ms 12268 KB Output is correct
21 Correct 9 ms 12268 KB Output is correct
22 Correct 9 ms 12268 KB Output is correct
23 Correct 10 ms 12268 KB Output is correct
24 Correct 9 ms 12268 KB Output is correct
25 Correct 10 ms 12268 KB Output is correct
26 Correct 96 ms 25316 KB Output is correct
27 Correct 142 ms 25068 KB Output is correct
28 Correct 12 ms 12652 KB Output is correct
29 Correct 9 ms 12268 KB Output is correct
30 Correct 12 ms 12268 KB Output is correct
31 Correct 139 ms 25096 KB Output is correct
32 Correct 13 ms 12652 KB Output is correct
33 Correct 183 ms 30220 KB Output is correct
34 Correct 140 ms 24684 KB Output is correct
35 Correct 12 ms 12652 KB Output is correct
36 Correct 162 ms 25068 KB Output is correct
37 Correct 11 ms 12652 KB Output is correct
38 Correct 12 ms 12652 KB Output is correct
39 Correct 86 ms 24804 KB Output is correct
40 Correct 11 ms 12780 KB Output is correct
41 Correct 132 ms 24684 KB Output is correct
42 Correct 162 ms 26476 KB Output is correct
43 Correct 9 ms 12268 KB Output is correct
44 Correct 160 ms 31340 KB Output is correct
45 Correct 146 ms 28268 KB Output is correct
46 Correct 11 ms 12652 KB Output is correct
47 Correct 13 ms 12652 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 85 ms 25572 KB Output is correct
2 Correct 96 ms 25956 KB Output is correct
3 Correct 11 ms 12652 KB Output is correct
4 Correct 11 ms 12652 KB Output is correct
5 Correct 9 ms 12268 KB Output is correct
6 Correct 9 ms 12268 KB Output is correct
7 Correct 11 ms 12652 KB Output is correct
8 Correct 244 ms 24768 KB Output is correct
9 Correct 11 ms 12652 KB Output is correct
10 Correct 197 ms 25196 KB Output is correct
11 Correct 9 ms 12396 KB Output is correct
12 Correct 241 ms 24556 KB Output is correct
13 Correct 245 ms 24696 KB Output is correct
14 Correct 245 ms 25708 KB Output is correct
15 Correct 89 ms 25828 KB Output is correct
16 Correct 12 ms 12652 KB Output is correct
17 Correct 9 ms 12268 KB Output is correct
18 Correct 108 ms 25956 KB Output is correct
19 Correct 317 ms 28908 KB Output is correct
20 Correct 11 ms 12652 KB Output is correct
21 Correct 9 ms 12268 KB Output is correct
22 Correct 136 ms 25828 KB Output is correct
23 Correct 11 ms 12652 KB Output is correct
24 Correct 264 ms 25324 KB Output is correct
25 Correct 292 ms 27884 KB Output is correct
26 Correct 11 ms 12652 KB Output is correct
27 Correct 11 ms 12764 KB Output is correct
28 Correct 13 ms 12652 KB Output is correct
29 Correct 12 ms 12652 KB Output is correct
30 Correct 12 ms 12652 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 12268 KB Output is correct
2 Correct 10 ms 12268 KB Output is correct
3 Correct 9 ms 12268 KB Output is correct
4 Correct 9 ms 12268 KB Output is correct
5 Correct 10 ms 12268 KB Output is correct
6 Correct 9 ms 12268 KB Output is correct
7 Correct 9 ms 12268 KB Output is correct
8 Correct 9 ms 12268 KB Output is correct
9 Correct 9 ms 12268 KB Output is correct
10 Correct 9 ms 12268 KB Output is correct
11 Correct 10 ms 12300 KB Output is correct
12 Correct 9 ms 12268 KB Output is correct
13 Correct 9 ms 12268 KB Output is correct
14 Correct 9 ms 12268 KB Output is correct
15 Correct 10 ms 12396 KB Output is correct
16 Correct 9 ms 12268 KB Output is correct
17 Correct 9 ms 12268 KB Output is correct
18 Correct 9 ms 12268 KB Output is correct
19 Correct 9 ms 12268 KB Output is correct
20 Correct 10 ms 12268 KB Output is correct
21 Correct 9 ms 12268 KB Output is correct
22 Correct 9 ms 12268 KB Output is correct
23 Correct 10 ms 12268 KB Output is correct
24 Correct 9 ms 12268 KB Output is correct
25 Correct 9 ms 12268 KB Output is correct
26 Correct 14 ms 12728 KB Output is correct
27 Correct 11 ms 12652 KB Output is correct
28 Correct 11 ms 12780 KB Output is correct
29 Correct 12 ms 12652 KB Output is correct
30 Correct 12 ms 12652 KB Output is correct
31 Correct 10 ms 12268 KB Output is correct
32 Correct 12 ms 12780 KB Output is correct
33 Correct 10 ms 12268 KB Output is correct
34 Correct 11 ms 12652 KB Output is correct
35 Correct 11 ms 12652 KB Output is correct
36 Correct 11 ms 12652 KB Output is correct
37 Correct 11 ms 12652 KB Output is correct
38 Correct 11 ms 12268 KB Output is correct
39 Correct 12 ms 12652 KB Output is correct
40 Correct 11 ms 12652 KB Output is correct
41 Correct 13 ms 12652 KB Output is correct
42 Correct 11 ms 12652 KB Output is correct
43 Correct 16 ms 12780 KB Output is correct
44 Correct 9 ms 12268 KB Output is correct
45 Correct 11 ms 12780 KB Output is correct
46 Correct 12 ms 12652 KB Output is correct
47 Correct 10 ms 12268 KB Output is correct
48 Correct 11 ms 12652 KB Output is correct
49 Correct 11 ms 12652 KB Output is correct
50 Correct 11 ms 12652 KB Output is correct
51 Correct 12 ms 12652 KB Output is correct
52 Correct 11 ms 12652 KB Output is correct
53 Correct 11 ms 12652 KB Output is correct
54 Correct 11 ms 12652 KB Output is correct
55 Correct 10 ms 12268 KB Output is correct
56 Correct 96 ms 25316 KB Output is correct
57 Correct 142 ms 25068 KB Output is correct
58 Correct 12 ms 12652 KB Output is correct
59 Correct 9 ms 12268 KB Output is correct
60 Correct 12 ms 12268 KB Output is correct
61 Correct 139 ms 25096 KB Output is correct
62 Correct 13 ms 12652 KB Output is correct
63 Correct 183 ms 30220 KB Output is correct
64 Correct 140 ms 24684 KB Output is correct
65 Correct 12 ms 12652 KB Output is correct
66 Correct 162 ms 25068 KB Output is correct
67 Correct 11 ms 12652 KB Output is correct
68 Correct 12 ms 12652 KB Output is correct
69 Correct 86 ms 24804 KB Output is correct
70 Correct 11 ms 12780 KB Output is correct
71 Correct 132 ms 24684 KB Output is correct
72 Correct 162 ms 26476 KB Output is correct
73 Correct 9 ms 12268 KB Output is correct
74 Correct 160 ms 31340 KB Output is correct
75 Correct 146 ms 28268 KB Output is correct
76 Correct 11 ms 12652 KB Output is correct
77 Correct 13 ms 12652 KB Output is correct
78 Correct 85 ms 25572 KB Output is correct
79 Correct 96 ms 25956 KB Output is correct
80 Correct 11 ms 12652 KB Output is correct
81 Correct 11 ms 12652 KB Output is correct
82 Correct 9 ms 12268 KB Output is correct
83 Correct 9 ms 12268 KB Output is correct
84 Correct 11 ms 12652 KB Output is correct
85 Correct 244 ms 24768 KB Output is correct
86 Correct 11 ms 12652 KB Output is correct
87 Correct 197 ms 25196 KB Output is correct
88 Correct 9 ms 12396 KB Output is correct
89 Correct 241 ms 24556 KB Output is correct
90 Correct 245 ms 24696 KB Output is correct
91 Correct 245 ms 25708 KB Output is correct
92 Correct 89 ms 25828 KB Output is correct
93 Correct 12 ms 12652 KB Output is correct
94 Correct 9 ms 12268 KB Output is correct
95 Correct 108 ms 25956 KB Output is correct
96 Correct 317 ms 28908 KB Output is correct
97 Correct 11 ms 12652 KB Output is correct
98 Correct 9 ms 12268 KB Output is correct
99 Correct 136 ms 25828 KB Output is correct
100 Correct 11 ms 12652 KB Output is correct
101 Correct 264 ms 25324 KB Output is correct
102 Correct 292 ms 27884 KB Output is correct
103 Correct 11 ms 12652 KB Output is correct
104 Correct 11 ms 12764 KB Output is correct
105 Correct 13 ms 12652 KB Output is correct
106 Correct 12 ms 12652 KB Output is correct
107 Correct 12 ms 12652 KB Output is correct
108 Correct 944 ms 74852 KB Output is correct
109 Correct 1043 ms 87020 KB Output is correct
110 Correct 1035 ms 96112 KB Output is correct
111 Correct 1994 ms 93164 KB Output is correct
112 Correct 1200 ms 85100 KB Output is correct
113 Correct 712 ms 75860 KB Output is correct
114 Correct 837 ms 72724 KB Output is correct
115 Correct 805 ms 72812 KB Output is correct
116 Correct 1390 ms 72940 KB Output is correct
117 Correct 1393 ms 74372 KB Output is correct
118 Correct 1124 ms 71404 KB Output is correct
119 Correct 1387 ms 74348 KB Output is correct
120 Correct 1642 ms 85216 KB Output is correct
121 Correct 1373 ms 74092 KB Output is correct
122 Correct 1320 ms 73452 KB Output is correct
123 Correct 633 ms 75484 KB Output is correct
124 Correct 1617 ms 72796 KB Output is correct