oj.uz

Submission #228598

# Submission time Handle Problem Language Result Execution time Memory
228598 2020-05-01T21:14:30 Z DS007 Mergers (JOI19_mergers) C++14
70 / 100
 668 ms 262144 KB 
#include <bits/stdc++.h>
using namespace std;
#define int long long

const int N = 5e5 + 1;

int dsu[N], s[N], first[N], dep[N], par[N], last[N];
vector<int> adj[N], adj_[N], cities[N], euler, depth;
pair<int, int> e[N];
int sparse[N * 2][20];
int n, k, c = 0;

// DSU begins
int find(int v) {
    if (dsu[v] == v)
        return v;
    else
        return dsu[v] = find(dsu[v]);
}

void un(int u, int v) {
    u = find(u), v = find(v);
    if (u == v)
        return;
    else if (dep[u] < dep[v])
        dsu[v] = u;
    else
        assert(dep[u] != dep[v]), dsu[u] = v;
}
// DSU ends

// LCA begins
void pre(int v, int p = -1, int d = 0) {
    first[v] = c++;
    dep[v] = d;
    par[v] = p;
    euler.push_back(v);
    depth.push_back(d);

    for (int i : adj[v]) {
        if (i != p) {
            pre(i, v, d + 1);
            euler.push_back(v);
            depth.push_back(d);
            c++;
        }
    }

    last[v] = c - 1;
}

int merge(int a, int b) {
    return depth[a] < depth[b] ? a : b;
}

void build_sparse() {
    for (int i = 0; i < euler.size(); i++)
        sparse[i][0] = i;

    for (int i = 1; i <= log2(euler.size()); i++) {
        for (int j = 0; j < euler.size() && j - 1 + (1 << i) < euler.size(); j++)
            sparse[j][i] = merge(sparse[j][i - 1], sparse[j + (1 << (i - 1))][i - 1]);
    }
}

int lca(int u, int v) {
    if (u == v) return u;
    int f1 = min(first[u], first[v]), f2 = max(first[v], first[u]), diff = f2 - f1;
    int dx = log2(diff);
    return euler[merge(sparse[f1][dx], sparse[f2 - (1 << dx)][dx])];
}
// LCA ends

void unite(int low, int high) {
    low = find(low), high = find(high);
    while (dep[low] > dep[high])
        un(low, high), low = find(par[low]);
}

void solveTestCase() {
    cin >> n >> k;

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

    euler.reserve(N * 2);
    depth.reserve(N * 2);
    iota(dsu, dsu + N, 0);
    pre(0);
    build_sparse();

    for (int i = 0; i < n; i++) {
        cin >> s[i];
        cities[s[i]].push_back(i);
    }

    for (int i = 0; i <= k; i++) {
        if (cities[i].size() <= 1)
            continue;

        int high = lca(cities[i][0], cities[i][1]);
        for (int j = 1; j < cities[i].size(); j++)
            high = lca(high, cities[i][j]);

        for (int j : cities[i])
            unite(j, high);
    }

    for (int i = 0; i < n - 1; i++) {
        if (find(e[i].first) != find(e[i].second))
            adj_[find(e[i].first)].push_back(find(e[i].second)), adj_[find(e[i].second)].push_back(find(e[i].first));
    }

    int leaves = 0;
    for (int i = 0; i < n; i++) {
        if (adj_[i].size() == 1)
            leaves++;
    }

    cout << (leaves + 1) / 2;
}

signed main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    cout.tie(nullptr);

    int test = 1;
    // cin >> test;
    for (int i = 1; i <= test; i++)
        solveTestCase();
}

Compilation message

mergers.cpp: In function 'void build_sparse()':
mergers.cpp:57:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (int i = 0; i < euler.size(); i++)
                     ~~^~~~~~~~~~~~~~
mergers.cpp:61:27: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         for (int j = 0; j < euler.size() && j - 1 + (1 << i) < euler.size(); j++)
                         ~~^~~~~~~~~~~~~~
mergers.cpp:61:62: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         for (int j = 0; j < euler.size() && j - 1 + (1 << i) < euler.size(); j++)
                                             ~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~
mergers.cpp: In function 'void solveTestCase()':
mergers.cpp:108:27: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         for (int j = 1; j < cities[i].size(); j++)
                         ~~^~~~~~~~~~~~~~~~~~

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 27 ms 39552 KB Output is correct
2 Correct 27 ms 39552 KB Output is correct
3 Correct 28 ms 39672 KB Output is correct
4 Correct 27 ms 39604 KB Output is correct
5 Correct 27 ms 39544 KB Output is correct
6 Correct 26 ms 39552 KB Output is correct
7 Correct 26 ms 39552 KB Output is correct
8 Correct 27 ms 39680 KB Output is correct
9 Correct 28 ms 39544 KB Output is correct
10 Correct 29 ms 39552 KB Output is correct
11 Correct 27 ms 39552 KB Output is correct
12 Correct 27 ms 39552 KB Output is correct
13 Correct 27 ms 39552 KB Output is correct
14 Correct 26 ms 39552 KB Output is correct
15 Correct 26 ms 39680 KB Output is correct
16 Correct 27 ms 39544 KB Output is correct
17 Correct 27 ms 39552 KB Output is correct
18 Correct 27 ms 39552 KB Output is correct
19 Correct 26 ms 39552 KB Output is correct
20 Correct 27 ms 39552 KB Output is correct
21 Correct 28 ms 39672 KB Output is correct
22 Correct 26 ms 39680 KB Output is correct
23 Correct 26 ms 39552 KB Output is correct
24 Correct 26 ms 39552 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 27 ms 39552 KB Output is correct
2 Correct 27 ms 39552 KB Output is correct
3 Correct 28 ms 39672 KB Output is correct
4 Correct 27 ms 39604 KB Output is correct
5 Correct 27 ms 39544 KB Output is correct
6 Correct 26 ms 39552 KB Output is correct
7 Correct 26 ms 39552 KB Output is correct
8 Correct 27 ms 39680 KB Output is correct
9 Correct 28 ms 39544 KB Output is correct
10 Correct 29 ms 39552 KB Output is correct
11 Correct 27 ms 39552 KB Output is correct
12 Correct 27 ms 39552 KB Output is correct
13 Correct 27 ms 39552 KB Output is correct
14 Correct 26 ms 39552 KB Output is correct
15 Correct 26 ms 39680 KB Output is correct
16 Correct 27 ms 39544 KB Output is correct
17 Correct 27 ms 39552 KB Output is correct
18 Correct 27 ms 39552 KB Output is correct
19 Correct 26 ms 39552 KB Output is correct
20 Correct 27 ms 39552 KB Output is correct
21 Correct 28 ms 39672 KB Output is correct
22 Correct 26 ms 39680 KB Output is correct
23 Correct 26 ms 39552 KB Output is correct
24 Correct 26 ms 39552 KB Output is correct
25 Correct 28 ms 39552 KB Output is correct
26 Correct 30 ms 40960 KB Output is correct
27 Correct 30 ms 40960 KB Output is correct
28 Correct 30 ms 41084 KB Output is correct
29 Correct 30 ms 41080 KB Output is correct
30 Correct 29 ms 40960 KB Output is correct
31 Correct 27 ms 39552 KB Output is correct
32 Correct 29 ms 41088 KB Output is correct
33 Correct 27 ms 39552 KB Output is correct
34 Correct 29 ms 40960 KB Output is correct
35 Correct 29 ms 41088 KB Output is correct
36 Correct 31 ms 40960 KB Output is correct
37 Correct 30 ms 40960 KB Output is correct
38 Correct 27 ms 39552 KB Output is correct
39 Correct 29 ms 40960 KB Output is correct
40 Correct 30 ms 40960 KB Output is correct
41 Correct 29 ms 40960 KB Output is correct
42 Correct 29 ms 40960 KB Output is correct
43 Correct 29 ms 41088 KB Output is correct
44 Correct 27 ms 39680 KB Output is correct
45 Correct 29 ms 40960 KB Output is correct
46 Correct 32 ms 40960 KB Output is correct
47 Correct 29 ms 39680 KB Output is correct
48 Correct 29 ms 40960 KB Output is correct
49 Correct 29 ms 41088 KB Output is correct
50 Correct 31 ms 41216 KB Output is correct
51 Correct 29 ms 40960 KB Output is correct
52 Correct 29 ms 40952 KB Output is correct
53 Correct 29 ms 41088 KB Output is correct
54 Correct 29 ms 40960 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 27 ms 39552 KB Output is correct
2 Correct 27 ms 39552 KB Output is correct
3 Correct 28 ms 39672 KB Output is correct
4 Correct 27 ms 39604 KB Output is correct
5 Correct 27 ms 39544 KB Output is correct
6 Correct 26 ms 39552 KB Output is correct
7 Correct 26 ms 39552 KB Output is correct
8 Correct 27 ms 39680 KB Output is correct
9 Correct 28 ms 39544 KB Output is correct
10 Correct 29 ms 39552 KB Output is correct
11 Correct 27 ms 39552 KB Output is correct
12 Correct 27 ms 39552 KB Output is correct
13 Correct 27 ms 39552 KB Output is correct
14 Correct 26 ms 39552 KB Output is correct
15 Correct 26 ms 39680 KB Output is correct
16 Correct 27 ms 39544 KB Output is correct
17 Correct 27 ms 39552 KB Output is correct
18 Correct 27 ms 39552 KB Output is correct
19 Correct 26 ms 39552 KB Output is correct
20 Correct 27 ms 39552 KB Output is correct
21 Correct 28 ms 39672 KB Output is correct
22 Correct 26 ms 39680 KB Output is correct
23 Correct 26 ms 39552 KB Output is correct
24 Correct 26 ms 39552 KB Output is correct
25 Correct 27 ms 39552 KB Output is correct
26 Correct 168 ms 85992 KB Output is correct
27 Correct 181 ms 85668 KB Output is correct
28 Correct 29 ms 40960 KB Output is correct
29 Correct 26 ms 39552 KB Output is correct
30 Correct 27 ms 39552 KB Output is correct
31 Correct 163 ms 85624 KB Output is correct
32 Correct 28 ms 40952 KB Output is correct
33 Correct 172 ms 89336 KB Output is correct
34 Correct 173 ms 85880 KB Output is correct
35 Correct 29 ms 40960 KB Output is correct
36 Correct 170 ms 85624 KB Output is correct
37 Correct 30 ms 40960 KB Output is correct
38 Correct 29 ms 40960 KB Output is correct
39 Correct 154 ms 85988 KB Output is correct
40 Correct 29 ms 41088 KB Output is correct
41 Correct 161 ms 85488 KB Output is correct
42 Correct 165 ms 86520 KB Output is correct
43 Correct 28 ms 39552 KB Output is correct
44 Correct 169 ms 89452 KB Output is correct
45 Correct 178 ms 88568 KB Output is correct
46 Correct 30 ms 40960 KB Output is correct
47 Correct 30 ms 40960 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 161 ms 85736 KB Output is correct
2 Correct 156 ms 91884 KB Output is correct
3 Correct 30 ms 41088 KB Output is correct
4 Correct 30 ms 40960 KB Output is correct
5 Correct 26 ms 39552 KB Output is correct
6 Correct 27 ms 39552 KB Output is correct
7 Correct 29 ms 40952 KB Output is correct
8 Correct 196 ms 87032 KB Output is correct
9 Correct 29 ms 40960 KB Output is correct
10 Correct 170 ms 85752 KB Output is correct
11 Correct 27 ms 39552 KB Output is correct
12 Correct 173 ms 85240 KB Output is correct
13 Correct 190 ms 87160 KB Output is correct
14 Correct 196 ms 91512 KB Output is correct
15 Correct 160 ms 85864 KB Output is correct
16 Correct 30 ms 40960 KB Output is correct
17 Correct 28 ms 39552 KB Output is correct
18 Correct 160 ms 90852 KB Output is correct
19 Correct 197 ms 92664 KB Output is correct
20 Correct 29 ms 40960 KB Output is correct
21 Correct 27 ms 39552 KB Output is correct
22 Correct 175 ms 87596 KB Output is correct
23 Correct 29 ms 40892 KB Output is correct
24 Correct 174 ms 86136 KB Output is correct
25 Correct 183 ms 93944 KB Output is correct
26 Correct 30 ms 41080 KB Output is correct
27 Correct 30 ms 41216 KB Output is correct
28 Correct 30 ms 40960 KB Output is correct
29 Correct 29 ms 40960 KB Output is correct
30 Correct 30 ms 40960 KB Output is correct

Subtask #5
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 27 ms 39552 KB Output is correct
2 Correct 27 ms 39552 KB Output is correct
3 Correct 28 ms 39672 KB Output is correct
4 Correct 27 ms 39604 KB Output is correct
5 Correct 27 ms 39544 KB Output is correct
6 Correct 26 ms 39552 KB Output is correct
7 Correct 26 ms 39552 KB Output is correct
8 Correct 27 ms 39680 KB Output is correct
9 Correct 28 ms 39544 KB Output is correct
10 Correct 29 ms 39552 KB Output is correct
11 Correct 27 ms 39552 KB Output is correct
12 Correct 27 ms 39552 KB Output is correct
13 Correct 27 ms 39552 KB Output is correct
14 Correct 26 ms 39552 KB Output is correct
15 Correct 26 ms 39680 KB Output is correct
16 Correct 27 ms 39544 KB Output is correct
17 Correct 27 ms 39552 KB Output is correct
18 Correct 27 ms 39552 KB Output is correct
19 Correct 26 ms 39552 KB Output is correct
20 Correct 27 ms 39552 KB Output is correct
21 Correct 28 ms 39672 KB Output is correct
22 Correct 26 ms 39680 KB Output is correct
23 Correct 26 ms 39552 KB Output is correct
24 Correct 26 ms 39552 KB Output is correct
25 Correct 28 ms 39552 KB Output is correct
26 Correct 30 ms 40960 KB Output is correct
27 Correct 30 ms 40960 KB Output is correct
28 Correct 30 ms 41084 KB Output is correct
29 Correct 30 ms 41080 KB Output is correct
30 Correct 29 ms 40960 KB Output is correct
31 Correct 27 ms 39552 KB Output is correct
32 Correct 29 ms 41088 KB Output is correct
33 Correct 27 ms 39552 KB Output is correct
34 Correct 29 ms 40960 KB Output is correct
35 Correct 29 ms 41088 KB Output is correct
36 Correct 31 ms 40960 KB Output is correct
37 Correct 30 ms 40960 KB Output is correct
38 Correct 27 ms 39552 KB Output is correct
39 Correct 29 ms 40960 KB Output is correct
40 Correct 30 ms 40960 KB Output is correct
41 Correct 29 ms 40960 KB Output is correct
42 Correct 29 ms 40960 KB Output is correct
43 Correct 29 ms 41088 KB Output is correct
44 Correct 27 ms 39680 KB Output is correct
45 Correct 29 ms 40960 KB Output is correct
46 Correct 32 ms 40960 KB Output is correct
47 Correct 29 ms 39680 KB Output is correct
48 Correct 29 ms 40960 KB Output is correct
49 Correct 29 ms 41088 KB Output is correct
50 Correct 31 ms 41216 KB Output is correct
51 Correct 29 ms 40960 KB Output is correct
52 Correct 29 ms 40952 KB Output is correct
53 Correct 29 ms 41088 KB Output is correct
54 Correct 29 ms 40960 KB Output is correct
55 Correct 27 ms 39552 KB Output is correct
56 Correct 168 ms 85992 KB Output is correct
57 Correct 181 ms 85668 KB Output is correct
58 Correct 29 ms 40960 KB Output is correct
59 Correct 26 ms 39552 KB Output is correct
60 Correct 27 ms 39552 KB Output is correct
61 Correct 163 ms 85624 KB Output is correct
62 Correct 28 ms 40952 KB Output is correct
63 Correct 172 ms 89336 KB Output is correct
64 Correct 173 ms 85880 KB Output is correct
65 Correct 29 ms 40960 KB Output is correct
66 Correct 170 ms 85624 KB Output is correct
67 Correct 30 ms 40960 KB Output is correct
68 Correct 29 ms 40960 KB Output is correct
69 Correct 154 ms 85988 KB Output is correct
70 Correct 29 ms 41088 KB Output is correct
71 Correct 161 ms 85488 KB Output is correct
72 Correct 165 ms 86520 KB Output is correct
73 Correct 28 ms 39552 KB Output is correct
74 Correct 169 ms 89452 KB Output is correct
75 Correct 178 ms 88568 KB Output is correct
76 Correct 30 ms 40960 KB Output is correct
77 Correct 30 ms 40960 KB Output is correct
78 Correct 161 ms 85736 KB Output is correct
79 Correct 156 ms 91884 KB Output is correct
80 Correct 30 ms 41088 KB Output is correct
81 Correct 30 ms 40960 KB Output is correct
82 Correct 26 ms 39552 KB Output is correct
83 Correct 27 ms 39552 KB Output is correct
84 Correct 29 ms 40952 KB Output is correct
85 Correct 196 ms 87032 KB Output is correct
86 Correct 29 ms 40960 KB Output is correct
87 Correct 170 ms 85752 KB Output is correct
88 Correct 27 ms 39552 KB Output is correct
89 Correct 173 ms 85240 KB Output is correct
90 Correct 190 ms 87160 KB Output is correct
91 Correct 196 ms 91512 KB Output is correct
92 Correct 160 ms 85864 KB Output is correct
93 Correct 30 ms 40960 KB Output is correct
94 Correct 28 ms 39552 KB Output is correct
95 Correct 160 ms 90852 KB Output is correct
96 Correct 197 ms 92664 KB Output is correct
97 Correct 29 ms 40960 KB Output is correct
98 Correct 27 ms 39552 KB Output is correct
99 Correct 175 ms 87596 KB Output is correct
100 Correct 29 ms 40892 KB Output is correct
101 Correct 174 ms 86136 KB Output is correct
102 Correct 183 ms 93944 KB Output is correct
103 Correct 30 ms 41080 KB Output is correct
104 Correct 30 ms 41216 KB Output is correct
105 Correct 30 ms 40960 KB Output is correct
106 Correct 29 ms 40960 KB Output is correct
107 Correct 30 ms 40960 KB Output is correct
108 Runtime error 668 ms 262144 KB Execution killed with signal 9 (could be triggered by violating memory limits)
109 Halted 0 ms 0 KB -