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답안 #228596

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
228596 2020-05-01T21:06:20 Z DS007 Mergers (JOI19_mergers) C++14
56 / 100
 3000 ms 96248 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][22];
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 = 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

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

Subtask #2
24.0 / 24.0

# 결과 실행 시간 메모리 Grader output
1 Correct 26 ms 39552 KB Output is correct
2 Correct 27 ms 39552 KB Output is correct
3 Correct 27 ms 39544 KB Output is correct
4 Correct 27 ms 39552 KB Output is correct
5 Correct 27 ms 39544 KB Output is correct
6 Correct 27 ms 39680 KB Output is correct
7 Correct 27 ms 39552 KB Output is correct
8 Correct 27 ms 39552 KB Output is correct
9 Correct 27 ms 39552 KB Output is correct
10 Correct 27 ms 39552 KB Output is correct
11 Correct 27 ms 39552 KB Output is correct
12 Correct 28 ms 39552 KB Output is correct
13 Correct 27 ms 39552 KB Output is correct
14 Correct 28 ms 39552 KB Output is correct
15 Correct 27 ms 39552 KB Output is correct
16 Correct 27 ms 39552 KB Output is correct
17 Correct 27 ms 39552 KB Output is correct
18 Correct 27 ms 39680 KB Output is correct
19 Correct 27 ms 39544 KB Output is correct
20 Correct 29 ms 39552 KB Output is correct
21 Correct 26 ms 39680 KB Output is correct
22 Correct 27 ms 39552 KB Output is correct
23 Correct 27 ms 39552 KB Output is correct
24 Correct 26 ms 39552 KB Output is correct
25 Correct 31 ms 39552 KB Output is correct
26 Correct 30 ms 41088 KB Output is correct
27 Correct 29 ms 40960 KB Output is correct
28 Correct 30 ms 41216 KB Output is correct
29 Correct 30 ms 41216 KB Output is correct
30 Correct 30 ms 41088 KB Output is correct
31 Correct 27 ms 39552 KB Output is correct
32 Correct 30 ms 41208 KB Output is correct
33 Correct 27 ms 39552 KB Output is correct
34 Correct 29 ms 41088 KB Output is correct
35 Correct 30 ms 41216 KB Output is correct
36 Correct 29 ms 40960 KB Output is correct
37 Correct 30 ms 41088 KB Output is correct
38 Correct 27 ms 39680 KB Output is correct
39 Correct 29 ms 41088 KB Output is correct
40 Correct 30 ms 41088 KB Output is correct
41 Correct 29 ms 40992 KB Output is correct
42 Correct 30 ms 41088 KB Output is correct
43 Correct 31 ms 41216 KB Output is correct
44 Correct 27 ms 39536 KB Output is correct
45 Correct 29 ms 41088 KB Output is correct
46 Correct 30 ms 41080 KB Output is correct
47 Correct 28 ms 39680 KB Output is correct
48 Correct 30 ms 41088 KB Output is correct
49 Correct 29 ms 41208 KB Output is correct
50 Correct 30 ms 41216 KB Output is correct
51 Correct 29 ms 41088 KB Output is correct
52 Correct 29 ms 41088 KB Output is correct
53 Correct 29 ms 41080 KB Output is correct
54 Correct 29 ms 40960 KB Output is correct

Subtask #3
0 / 14.0

# 결과 실행 시간 메모리 Grader output
1 Correct 26 ms 39552 KB Output is correct
2 Correct 27 ms 39552 KB Output is correct
3 Correct 27 ms 39544 KB Output is correct
4 Correct 27 ms 39552 KB Output is correct
5 Correct 27 ms 39544 KB Output is correct
6 Correct 27 ms 39680 KB Output is correct
7 Correct 27 ms 39552 KB Output is correct
8 Correct 27 ms 39552 KB Output is correct
9 Correct 27 ms 39552 KB Output is correct
10 Correct 27 ms 39552 KB Output is correct
11 Correct 27 ms 39552 KB Output is correct
12 Correct 28 ms 39552 KB Output is correct
13 Correct 27 ms 39552 KB Output is correct
14 Correct 28 ms 39552 KB Output is correct
15 Correct 27 ms 39552 KB Output is correct
16 Correct 27 ms 39552 KB Output is correct
17 Correct 27 ms 39552 KB Output is correct
18 Correct 27 ms 39680 KB Output is correct
19 Correct 27 ms 39544 KB Output is correct
20 Correct 29 ms 39552 KB Output is correct
21 Correct 26 ms 39680 KB Output is correct
22 Correct 27 ms 39552 KB Output is correct
23 Correct 27 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 156 ms 88044 KB Output is correct
27 Correct 183 ms 87800 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 169 ms 87800 KB Output is correct
32 Correct 29 ms 41088 KB Output is correct
33 Correct 193 ms 91640 KB Output is correct
34 Correct 173 ms 87928 KB Output is correct
35 Correct 30 ms 40960 KB Output is correct
36 Correct 176 ms 87672 KB Output is correct
37 Correct 30 ms 41088 KB Output is correct
38 Correct 29 ms 41088 KB Output is correct
39 Correct 156 ms 88040 KB Output is correct
40 Correct 29 ms 41120 KB Output is correct
41 Correct 167 ms 87796 KB Output is correct
42 Correct 185 ms 88696 KB Output is correct
43 Correct 27 ms 39552 KB Output is correct
44 Correct 184 ms 91632 KB Output is correct
45 Execution timed out 3086 ms 90744 KB Time limit exceeded
46 Halted 0 ms 0 KB -

Subtask #4
22.0 / 22.0

# 결과 실행 시간 메모리 Grader output
1 Correct 163 ms 87916 KB Output is correct
2 Correct 153 ms 94116 KB Output is correct
3 Correct 30 ms 41088 KB Output is correct
4 Correct 30 ms 41080 KB Output is correct
5 Correct 27 ms 39552 KB Output is correct
6 Correct 27 ms 39552 KB Output is correct
7 Correct 30 ms 41212 KB Output is correct
8 Correct 196 ms 89056 KB Output is correct
9 Correct 30 ms 40960 KB Output is correct
10 Correct 175 ms 87908 KB Output is correct
11 Correct 27 ms 39552 KB Output is correct
12 Correct 173 ms 87416 KB Output is correct
13 Correct 191 ms 89336 KB Output is correct
14 Correct 180 ms 93688 KB Output is correct
15 Correct 156 ms 88296 KB Output is correct
16 Correct 29 ms 41088 KB Output is correct
17 Correct 27 ms 39552 KB Output is correct
18 Correct 168 ms 93152 KB Output is correct
19 Correct 188 ms 94976 KB Output is correct
20 Correct 29 ms 41088 KB Output is correct
21 Correct 27 ms 39552 KB Output is correct
22 Correct 192 ms 89584 KB Output is correct
23 Correct 29 ms 41080 KB Output is correct
24 Correct 177 ms 88312 KB Output is correct
25 Correct 187 ms 96248 KB Output is correct
26 Correct 29 ms 41216 KB Output is correct
27 Correct 29 ms 41216 KB Output is correct
28 Correct 31 ms 41088 KB Output is correct
29 Correct 28 ms 41088 KB Output is correct
30 Correct 29 ms 41088 KB Output is correct

Subtask #5
0 / 30.0

# 결과 실행 시간 메모리 Grader output
1 Correct 26 ms 39552 KB Output is correct
2 Correct 27 ms 39552 KB Output is correct
3 Correct 27 ms 39544 KB Output is correct
4 Correct 27 ms 39552 KB Output is correct
5 Correct 27 ms 39544 KB Output is correct
6 Correct 27 ms 39680 KB Output is correct
7 Correct 27 ms 39552 KB Output is correct
8 Correct 27 ms 39552 KB Output is correct
9 Correct 27 ms 39552 KB Output is correct
10 Correct 27 ms 39552 KB Output is correct
11 Correct 27 ms 39552 KB Output is correct
12 Correct 28 ms 39552 KB Output is correct
13 Correct 27 ms 39552 KB Output is correct
14 Correct 28 ms 39552 KB Output is correct
15 Correct 27 ms 39552 KB Output is correct
16 Correct 27 ms 39552 KB Output is correct
17 Correct 27 ms 39552 KB Output is correct
18 Correct 27 ms 39680 KB Output is correct
19 Correct 27 ms 39544 KB Output is correct
20 Correct 29 ms 39552 KB Output is correct
21 Correct 26 ms 39680 KB Output is correct
22 Correct 27 ms 39552 KB Output is correct
23 Correct 27 ms 39552 KB Output is correct
24 Correct 26 ms 39552 KB Output is correct
25 Correct 31 ms 39552 KB Output is correct
26 Correct 30 ms 41088 KB Output is correct
27 Correct 29 ms 40960 KB Output is correct
28 Correct 30 ms 41216 KB Output is correct
29 Correct 30 ms 41216 KB Output is correct
30 Correct 30 ms 41088 KB Output is correct
31 Correct 27 ms 39552 KB Output is correct
32 Correct 30 ms 41208 KB Output is correct
33 Correct 27 ms 39552 KB Output is correct
34 Correct 29 ms 41088 KB Output is correct
35 Correct 30 ms 41216 KB Output is correct
36 Correct 29 ms 40960 KB Output is correct
37 Correct 30 ms 41088 KB Output is correct
38 Correct 27 ms 39680 KB Output is correct
39 Correct 29 ms 41088 KB Output is correct
40 Correct 30 ms 41088 KB Output is correct
41 Correct 29 ms 40992 KB Output is correct
42 Correct 30 ms 41088 KB Output is correct
43 Correct 31 ms 41216 KB Output is correct
44 Correct 27 ms 39536 KB Output is correct
45 Correct 29 ms 41088 KB Output is correct
46 Correct 30 ms 41080 KB Output is correct
47 Correct 28 ms 39680 KB Output is correct
48 Correct 30 ms 41088 KB Output is correct
49 Correct 29 ms 41208 KB Output is correct
50 Correct 30 ms 41216 KB Output is correct
51 Correct 29 ms 41088 KB Output is correct
52 Correct 29 ms 41088 KB Output is correct
53 Correct 29 ms 41080 KB Output is correct
54 Correct 29 ms 40960 KB Output is correct
55 Correct 27 ms 39552 KB Output is correct
56 Correct 156 ms 88044 KB Output is correct
57 Correct 183 ms 87800 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 169 ms 87800 KB Output is correct
62 Correct 29 ms 41088 KB Output is correct
63 Correct 193 ms 91640 KB Output is correct
64 Correct 173 ms 87928 KB Output is correct
65 Correct 30 ms 40960 KB Output is correct
66 Correct 176 ms 87672 KB Output is correct
67 Correct 30 ms 41088 KB Output is correct
68 Correct 29 ms 41088 KB Output is correct
69 Correct 156 ms 88040 KB Output is correct
70 Correct 29 ms 41120 KB Output is correct
71 Correct 167 ms 87796 KB Output is correct
72 Correct 185 ms 88696 KB Output is correct
73 Correct 27 ms 39552 KB Output is correct
74 Correct 184 ms 91632 KB Output is correct
75 Execution timed out 3086 ms 90744 KB Time limit exceeded
76 Halted 0 ms 0 KB -