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답안 #796802

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
796802 2023-07-28T18:33:07 Z rnl42 Mergers (JOI19_mergers) C++14
100 / 100
 815 ms 106976 KB 
#include <iostream>
#include <vector>
#include <algorithm>
#include <numeric>
using namespace std;

const int MAXN = 5e5;

int N, K;
int dist[MAXN];
vector<int> adj[MAXN];
int group_of[MAXN];
vector<int> members[MAXN];
struct lcatreeitem {
    int i;
    lcatreeitem& operator=(int other) {
        i = other;
        return *this;
    }
    operator int() const {
        return i;
    }
    bool operator<(const lcatreeitem& other) const {
        if (i == -1) return false;
        else if (other.i == -1) return true;
        return dist[i] < dist[other.i];
    }
} lcatree[1<<21];
int first[MAXN];
int lcatree_i = 0;
const int lcatree_shift = 1<<20;
int mergeuntil[MAXN];
bool penible[MAXN];

int uf[MAXN];

int root(int u) {
    return uf[u] == u ? u : uf[u] = root(uf[u]);
}
void merge(int u, int v) {
    if (dist[u] > dist[v]) {
        swap(u, v);
    }
    uf[root(v)] = root(u);
}

void dfs(int u) {
    first[u] = lcatree_i;
    lcatree[lcatree_shift+lcatree_i++] = u;
    for (int v : adj[u]) {
        adj[v].erase(find(adj[v].begin(), adj[v].end(), u));
        dist[v] = dist[u]+1;
        dfs(v);
        lcatree[lcatree_shift+lcatree_i++] = u;
    }
}

int dfs2(int u) {
    int ret = mergeuntil[u];
    for (int v : adj[u]) {
        int r = dfs2(v);
        if (dist[r] < dist[ret]) ret = r;
        if (r != v) {
            merge(v, u);
        }
    }
    return ret;
}

int lca(int u, int v) {
    if (first[u] > first[v]) swap(u, v);
    int l = lcatree_shift+first[u], r = lcatree_shift+first[v]+1;
    lcatreeitem ret;
    ret = -1;
    for (; l < r; l >>= 1, r >>= 1) {
        if (l&1) {
            ret = min(ret, lcatree[l++]);
        }
        if (r&1) {
            ret = min(ret, lcatree[--r]);
        }
    }
    return ret;
}

int dfs3(int u) {
    int ret = 0;
    for (int v : adj[u]) {
        ret += dfs3(v);
    }
    ret = max(ret, (int)penible[u]);
    return ret;
}

signed main() {
    ios::sync_with_stdio(false), cin.tie(0), cout.tie(0);
    cin >> N >> K;
    iota(mergeuntil, mergeuntil+N, 0);
    iota(uf, uf+N, 0);
    int u, v;
    for (int i = 0; i < N-1; i++) {
        cin >> u >> v, u--, v--;
        adj[u].push_back(v);
        adj[v].push_back(u);
    }
    for (int i = 0; i < N; i++) {
        cin >> group_of[i], group_of[i]--;
        members[group_of[i]].push_back(i);
    }
    dfs(0);
    for (int i = lcatree_shift-1; i > 0; i--) {
        lcatree[i] = min(lcatree[2*i], lcatree[2*i+1]);
    }
    for (int g = 0; g < K; g++) {
        int a = members[g][0];
        for (auto m : members[g]) {
            a = lca(a, m);
        }
        for (auto m : members[g]) {
            mergeuntil[m] = a;
        }
    }
    dfs2(0);
    bool plus1 = false;
    int lcapenible = -1;
    for (int i = 1; i < N; i++) {
        if (root(i) == i) {
            if (lcapenible == -1) lcapenible = i;
            else lcapenible = lca(lcapenible, i);
            penible[i] = true;
        }
    }
    for (int i = 1; i < N; i++) {
        if (penible[i]) {
            if (lca(lcapenible, i) == i) {
                plus1 = true;
                break;
            }
        }
    }
    int ans = dfs3(0)+plus1;
    cout << ((ans+1)>>1) << '\n';
}

Subtask #1
10.0 / 10.0

# 결과 실행 시간 메모리 Grader output
1 Correct 15 ms 27860 KB Output is correct
2 Correct 15 ms 27860 KB Output is correct
3 Correct 16 ms 27860 KB Output is correct
4 Correct 15 ms 27848 KB Output is correct
5 Correct 15 ms 27856 KB Output is correct
6 Correct 15 ms 27860 KB Output is correct
7 Correct 15 ms 27916 KB Output is correct
8 Correct 15 ms 27916 KB Output is correct
9 Correct 15 ms 27892 KB Output is correct
10 Correct 14 ms 27860 KB Output is correct
11 Correct 15 ms 27912 KB Output is correct
12 Correct 15 ms 27908 KB Output is correct
13 Correct 15 ms 27836 KB Output is correct
14 Correct 15 ms 27860 KB Output is correct
15 Correct 15 ms 27952 KB Output is correct
16 Correct 14 ms 27912 KB Output is correct
17 Correct 17 ms 28072 KB Output is correct
18 Correct 14 ms 27860 KB Output is correct
19 Correct 14 ms 27852 KB Output is correct
20 Correct 15 ms 27860 KB Output is correct
21 Correct 14 ms 27900 KB Output is correct
22 Correct 15 ms 27912 KB Output is correct
23 Correct 15 ms 27860 KB Output is correct
24 Correct 16 ms 27916 KB Output is correct

Subtask #2
24.0 / 24.0

# 결과 실행 시간 메모리 Grader output
1 Correct 15 ms 27860 KB Output is correct
2 Correct 15 ms 27860 KB Output is correct
3 Correct 16 ms 27860 KB Output is correct
4 Correct 15 ms 27848 KB Output is correct
5 Correct 15 ms 27856 KB Output is correct
6 Correct 15 ms 27860 KB Output is correct
7 Correct 15 ms 27916 KB Output is correct
8 Correct 15 ms 27916 KB Output is correct
9 Correct 15 ms 27892 KB Output is correct
10 Correct 14 ms 27860 KB Output is correct
11 Correct 15 ms 27912 KB Output is correct
12 Correct 15 ms 27908 KB Output is correct
13 Correct 15 ms 27836 KB Output is correct
14 Correct 15 ms 27860 KB Output is correct
15 Correct 15 ms 27952 KB Output is correct
16 Correct 14 ms 27912 KB Output is correct
17 Correct 17 ms 28072 KB Output is correct
18 Correct 14 ms 27860 KB Output is correct
19 Correct 14 ms 27852 KB Output is correct
20 Correct 15 ms 27860 KB Output is correct
21 Correct 14 ms 27900 KB Output is correct
22 Correct 15 ms 27912 KB Output is correct
23 Correct 15 ms 27860 KB Output is correct
24 Correct 16 ms 27916 KB Output is correct
25 Correct 15 ms 27912 KB Output is correct
26 Correct 16 ms 28244 KB Output is correct
27 Correct 15 ms 28124 KB Output is correct
28 Correct 16 ms 28372 KB Output is correct
29 Correct 16 ms 28284 KB Output is correct
30 Correct 16 ms 28160 KB Output is correct
31 Correct 15 ms 27860 KB Output is correct
32 Correct 17 ms 28500 KB Output is correct
33 Correct 14 ms 27860 KB Output is correct
34 Correct 16 ms 28180 KB Output is correct
35 Correct 16 ms 28244 KB Output is correct
36 Correct 15 ms 28188 KB Output is correct
37 Correct 16 ms 28180 KB Output is correct
38 Correct 14 ms 27860 KB Output is correct
39 Correct 16 ms 28144 KB Output is correct
40 Correct 16 ms 28208 KB Output is correct
41 Correct 17 ms 28160 KB Output is correct
42 Correct 16 ms 28132 KB Output is correct
43 Correct 16 ms 28384 KB Output is correct
44 Correct 15 ms 27916 KB Output is correct
45 Correct 16 ms 28244 KB Output is correct
46 Correct 17 ms 28232 KB Output is correct
47 Correct 15 ms 27916 KB Output is correct
48 Correct 15 ms 28180 KB Output is correct
49 Correct 18 ms 28244 KB Output is correct
50 Correct 16 ms 28288 KB Output is correct
51 Correct 16 ms 28216 KB Output is correct
52 Correct 16 ms 28116 KB Output is correct
53 Correct 16 ms 28244 KB Output is correct
54 Correct 16 ms 28116 KB Output is correct

Subtask #3
14.0 / 14.0

# 결과 실행 시간 메모리 Grader output
1 Correct 15 ms 27860 KB Output is correct
2 Correct 15 ms 27860 KB Output is correct
3 Correct 16 ms 27860 KB Output is correct
4 Correct 15 ms 27848 KB Output is correct
5 Correct 15 ms 27856 KB Output is correct
6 Correct 15 ms 27860 KB Output is correct
7 Correct 15 ms 27916 KB Output is correct
8 Correct 15 ms 27916 KB Output is correct
9 Correct 15 ms 27892 KB Output is correct
10 Correct 14 ms 27860 KB Output is correct
11 Correct 15 ms 27912 KB Output is correct
12 Correct 15 ms 27908 KB Output is correct
13 Correct 15 ms 27836 KB Output is correct
14 Correct 15 ms 27860 KB Output is correct
15 Correct 15 ms 27952 KB Output is correct
16 Correct 14 ms 27912 KB Output is correct
17 Correct 17 ms 28072 KB Output is correct
18 Correct 14 ms 27860 KB Output is correct
19 Correct 14 ms 27852 KB Output is correct
20 Correct 15 ms 27860 KB Output is correct
21 Correct 14 ms 27900 KB Output is correct
22 Correct 15 ms 27912 KB Output is correct
23 Correct 15 ms 27860 KB Output is correct
24 Correct 16 ms 27916 KB Output is correct
25 Correct 14 ms 27872 KB Output is correct
26 Correct 53 ms 36104 KB Output is correct
27 Correct 66 ms 35724 KB Output is correct
28 Correct 16 ms 28160 KB Output is correct
29 Correct 16 ms 27916 KB Output is correct
30 Correct 15 ms 27860 KB Output is correct
31 Correct 73 ms 35932 KB Output is correct
32 Correct 18 ms 28184 KB Output is correct
33 Correct 77 ms 42940 KB Output is correct
34 Correct 66 ms 35904 KB Output is correct
35 Correct 16 ms 28184 KB Output is correct
36 Correct 66 ms 36572 KB Output is correct
37 Correct 17 ms 28152 KB Output is correct
38 Correct 16 ms 28104 KB Output is correct
39 Correct 54 ms 36128 KB Output is correct
40 Correct 17 ms 28372 KB Output is correct
41 Correct 63 ms 35684 KB Output is correct
42 Correct 70 ms 38192 KB Output is correct
43 Correct 15 ms 27912 KB Output is correct
44 Correct 74 ms 43204 KB Output is correct
45 Correct 69 ms 39536 KB Output is correct
46 Correct 16 ms 28220 KB Output is correct
47 Correct 17 ms 28148 KB Output is correct

Subtask #4
22.0 / 22.0

# 결과 실행 시간 메모리 Grader output
1 Correct 55 ms 36228 KB Output is correct
2 Correct 72 ms 38784 KB Output is correct
3 Correct 18 ms 28208 KB Output is correct
4 Correct 16 ms 28116 KB Output is correct
5 Correct 15 ms 27956 KB Output is correct
6 Correct 15 ms 27916 KB Output is correct
7 Correct 16 ms 28156 KB Output is correct
8 Correct 72 ms 36932 KB Output is correct
9 Correct 18 ms 28132 KB Output is correct
10 Correct 64 ms 35920 KB Output is correct
11 Correct 15 ms 27944 KB Output is correct
12 Correct 72 ms 35848 KB Output is correct
13 Correct 76 ms 36844 KB Output is correct
14 Correct 87 ms 38456 KB Output is correct
15 Correct 54 ms 36108 KB Output is correct
16 Correct 17 ms 28244 KB Output is correct
17 Correct 16 ms 27860 KB Output is correct
18 Correct 71 ms 38540 KB Output is correct
19 Correct 95 ms 42456 KB Output is correct
20 Correct 17 ms 28116 KB Output is correct
21 Correct 16 ms 27860 KB Output is correct
22 Correct 62 ms 37232 KB Output is correct
23 Correct 17 ms 28116 KB Output is correct
24 Correct 73 ms 36240 KB Output is correct
25 Correct 105 ms 41276 KB Output is correct
26 Correct 16 ms 28180 KB Output is correct
27 Correct 16 ms 28312 KB Output is correct
28 Correct 18 ms 28108 KB Output is correct
29 Correct 16 ms 28152 KB Output is correct
30 Correct 16 ms 28172 KB Output is correct

Subtask #5
30.0 / 30.0

# 결과 실행 시간 메모리 Grader output
1 Correct 15 ms 27860 KB Output is correct
2 Correct 15 ms 27860 KB Output is correct
3 Correct 16 ms 27860 KB Output is correct
4 Correct 15 ms 27848 KB Output is correct
5 Correct 15 ms 27856 KB Output is correct
6 Correct 15 ms 27860 KB Output is correct
7 Correct 15 ms 27916 KB Output is correct
8 Correct 15 ms 27916 KB Output is correct
9 Correct 15 ms 27892 KB Output is correct
10 Correct 14 ms 27860 KB Output is correct
11 Correct 15 ms 27912 KB Output is correct
12 Correct 15 ms 27908 KB Output is correct
13 Correct 15 ms 27836 KB Output is correct
14 Correct 15 ms 27860 KB Output is correct
15 Correct 15 ms 27952 KB Output is correct
16 Correct 14 ms 27912 KB Output is correct
17 Correct 17 ms 28072 KB Output is correct
18 Correct 14 ms 27860 KB Output is correct
19 Correct 14 ms 27852 KB Output is correct
20 Correct 15 ms 27860 KB Output is correct
21 Correct 14 ms 27900 KB Output is correct
22 Correct 15 ms 27912 KB Output is correct
23 Correct 15 ms 27860 KB Output is correct
24 Correct 16 ms 27916 KB Output is correct
25 Correct 15 ms 27912 KB Output is correct
26 Correct 16 ms 28244 KB Output is correct
27 Correct 15 ms 28124 KB Output is correct
28 Correct 16 ms 28372 KB Output is correct
29 Correct 16 ms 28284 KB Output is correct
30 Correct 16 ms 28160 KB Output is correct
31 Correct 15 ms 27860 KB Output is correct
32 Correct 17 ms 28500 KB Output is correct
33 Correct 14 ms 27860 KB Output is correct
34 Correct 16 ms 28180 KB Output is correct
35 Correct 16 ms 28244 KB Output is correct
36 Correct 15 ms 28188 KB Output is correct
37 Correct 16 ms 28180 KB Output is correct
38 Correct 14 ms 27860 KB Output is correct
39 Correct 16 ms 28144 KB Output is correct
40 Correct 16 ms 28208 KB Output is correct
41 Correct 17 ms 28160 KB Output is correct
42 Correct 16 ms 28132 KB Output is correct
43 Correct 16 ms 28384 KB Output is correct
44 Correct 15 ms 27916 KB Output is correct
45 Correct 16 ms 28244 KB Output is correct
46 Correct 17 ms 28232 KB Output is correct
47 Correct 15 ms 27916 KB Output is correct
48 Correct 15 ms 28180 KB Output is correct
49 Correct 18 ms 28244 KB Output is correct
50 Correct 16 ms 28288 KB Output is correct
51 Correct 16 ms 28216 KB Output is correct
52 Correct 16 ms 28116 KB Output is correct
53 Correct 16 ms 28244 KB Output is correct
54 Correct 16 ms 28116 KB Output is correct
55 Correct 14 ms 27872 KB Output is correct
56 Correct 53 ms 36104 KB Output is correct
57 Correct 66 ms 35724 KB Output is correct
58 Correct 16 ms 28160 KB Output is correct
59 Correct 16 ms 27916 KB Output is correct
60 Correct 15 ms 27860 KB Output is correct
61 Correct 73 ms 35932 KB Output is correct
62 Correct 18 ms 28184 KB Output is correct
63 Correct 77 ms 42940 KB Output is correct
64 Correct 66 ms 35904 KB Output is correct
65 Correct 16 ms 28184 KB Output is correct
66 Correct 66 ms 36572 KB Output is correct
67 Correct 17 ms 28152 KB Output is correct
68 Correct 16 ms 28104 KB Output is correct
69 Correct 54 ms 36128 KB Output is correct
70 Correct 17 ms 28372 KB Output is correct
71 Correct 63 ms 35684 KB Output is correct
72 Correct 70 ms 38192 KB Output is correct
73 Correct 15 ms 27912 KB Output is correct
74 Correct 74 ms 43204 KB Output is correct
75 Correct 69 ms 39536 KB Output is correct
76 Correct 16 ms 28220 KB Output is correct
77 Correct 17 ms 28148 KB Output is correct
78 Correct 55 ms 36228 KB Output is correct
79 Correct 72 ms 38784 KB Output is correct
80 Correct 18 ms 28208 KB Output is correct
81 Correct 16 ms 28116 KB Output is correct
82 Correct 15 ms 27956 KB Output is correct
83 Correct 15 ms 27916 KB Output is correct
84 Correct 16 ms 28156 KB Output is correct
85 Correct 72 ms 36932 KB Output is correct
86 Correct 18 ms 28132 KB Output is correct
87 Correct 64 ms 35920 KB Output is correct
88 Correct 15 ms 27944 KB Output is correct
89 Correct 72 ms 35848 KB Output is correct
90 Correct 76 ms 36844 KB Output is correct
91 Correct 87 ms 38456 KB Output is correct
92 Correct 54 ms 36108 KB Output is correct
93 Correct 17 ms 28244 KB Output is correct
94 Correct 16 ms 27860 KB Output is correct
95 Correct 71 ms 38540 KB Output is correct
96 Correct 95 ms 42456 KB Output is correct
97 Correct 17 ms 28116 KB Output is correct
98 Correct 16 ms 27860 KB Output is correct
99 Correct 62 ms 37232 KB Output is correct
100 Correct 17 ms 28116 KB Output is correct
101 Correct 73 ms 36240 KB Output is correct
102 Correct 105 ms 41276 KB Output is correct
103 Correct 16 ms 28180 KB Output is correct
104 Correct 16 ms 28312 KB Output is correct
105 Correct 18 ms 28108 KB Output is correct
106 Correct 16 ms 28152 KB Output is correct
107 Correct 16 ms 28172 KB Output is correct
108 Correct 373 ms 67552 KB Output is correct
109 Correct 655 ms 85476 KB Output is correct
110 Correct 663 ms 96648 KB Output is correct
111 Correct 815 ms 106976 KB Output is correct
112 Correct 711 ms 97112 KB Output is correct
113 Correct 431 ms 83732 KB Output is correct
114 Correct 501 ms 67580 KB Output is correct
115 Correct 488 ms 67512 KB Output is correct
116 Correct 522 ms 72668 KB Output is correct
117 Correct 615 ms 83832 KB Output is correct
118 Correct 456 ms 69224 KB Output is correct
119 Correct 585 ms 83792 KB Output is correct
120 Correct 678 ms 97864 KB Output is correct
121 Correct 626 ms 83916 KB Output is correct
122 Correct 584 ms 77660 KB Output is correct
123 Correct 392 ms 85344 KB Output is correct
124 Correct 721 ms 82624 KB Output is correct