#include <bits/stdc++.h>
using namespace std;
int max_log, dfs_cnt = 0, e = 0;
vector< vector<int> > g, up, aux;
vector<int> dfs_in, dfs_out, d, s, leaves;
vector<bool> critical;
void dfs(int u, int p) {
up[u][0] = p;
dfs_in[u] = dfs_cnt++;
for (int i = 1; i <= max_log; i++) up[u][i] = up[up[u][i - 1]][i - 1];
for (auto& v : g[u]) {
if (v == p) continue;
d[v] = d[u] + 1;
dfs(v, u);
leaves[u] += leaves[v];
}
dfs_out[u] = dfs_cnt;
if ((int) g[u].size() == 1) leaves[u]++;
}
void dfs2(int u, int p) {
if (leaves[u] % 2 == 0) e++, s[u]++;
for (auto& v : g[u]) {
if (v != p) {
s[v] += s[u];
dfs2(v, u);
}
}
}
int dfs3(int u, int p, int &ans) {
int cnt = 0;
for (auto& v : aux[u]) {
cnt += dfs3(v, u, ans);
}
if (critical[u]) cnt++;
if (cnt % 2 == 1) {
ans += d[u] - d[p] - 2 * (s[u] - s[p]);
}
return cnt;
}
bool is_anc(int u, int v) {
return dfs_in[u] <= dfs_in[v] && dfs_out[u] >= dfs_out[v];
}
int lca(int u, int v) {
if (is_anc(u, v)) return u;
if (is_anc(v, u)) return v;
for (int i = max_log; i >= 0; i--) {
if (!is_anc(up[u][i], v)) u = up[u][i];
}
return up[u][0];
}
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
int n, q;
cin >> n >> q;
g.resize(n + 1);
for (int i = 0; i < n - 1; i++) {
int u, v;
cin >> u >> v;
g[u].push_back(v);
g[v].push_back(u);
}
int r = 1;
while ((int) g[r].size() == 1) r++;
max_log = ceil(log2(n));
up.assign(n + 1, vector<int>(max_log + 1));
dfs_in.resize(n + 1); dfs_out.resize(n + 1);
d.assign(n + 1, 0);
leaves.assign(n + 1, 0);
d[r] = 1;
dfs(r, r);
s.assign(n + 1, 0);
dfs2(r, -1);
critical.assign(n + 1, false);
aux.resize(n + 1);
while (q--) {
int d;
cin >> d;
map<int, int> mp;
for (int i = 0; i < d; i++) {
int x;
cin >> x;
mp[x]++;
}
vector<int> v;
for (auto& p : mp) {
if ((int) g[p.first].size() == 1 && p.second % 2 == 0) v.push_back(p.first);
if ((int) g[p.first].size() > 1 && p.second % 2 == 1) v.push_back(p.first);
}
for (auto& x : v) critical[x] = true;
sort(v.begin(), v.end(), [&](int a, int b) {
return dfs_in[a] < dfs_in[b];
});
for (int i = 1, sz = (int) v.size(); i < sz; i++) {
v.push_back(lca(v[i - 1], v[i]));
}
sort(v.begin(), v.end(), [&](int a, int b) {
return dfs_in[a] < dfs_in[b];
});
v.erase(unique(v.begin(), v.end()), v.end());
if (v.empty()) {
if (leaves[r] % 2 == 0) cout << n + d + e - 2 << '\n';
else cout << -1 << '\n';
continue;
}
vector<int> st = {v[0]};
for (int i = 1; i < (int) v.size(); i++) {
while (!is_anc(st.back(), v[i])) st.pop_back();
aux[st.back()].push_back(v[i]);
st.push_back(v[i]);
}
int tmp = e;
if ((leaves[r] + dfs3(st[0], 0, tmp)) % 2 == 0) {
cout << n + d + tmp - 2 << '\n';
} else {
cout << -1 << '\n';
}
for (auto& x : v) {
aux[x].clear();
critical[x] = false;
}
}
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
41 ms |
5388 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
11 ms |
1420 KB |
Output is correct |
2 |
Correct |
11 ms |
1384 KB |
Output is correct |
3 |
Correct |
51 ms |
21676 KB |
Output is correct |
4 |
Correct |
61 ms |
18492 KB |
Output is correct |
5 |
Correct |
80 ms |
25120 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
14 ms |
2356 KB |
Output is correct |
2 |
Correct |
15 ms |
2284 KB |
Output is correct |
3 |
Correct |
58 ms |
29164 KB |
Output is correct |
4 |
Correct |
93 ms |
31148 KB |
Output is correct |
5 |
Correct |
53 ms |
26352 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
30 ms |
5972 KB |
Output is correct |
2 |
Correct |
19 ms |
4948 KB |
Output is correct |
3 |
Correct |
9 ms |
4564 KB |
Output is correct |
4 |
Correct |
10 ms |
5076 KB |
Output is correct |
5 |
Correct |
11 ms |
5204 KB |
Output is correct |
6 |
Correct |
28 ms |
5792 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
69 ms |
14952 KB |
Output is correct |
2 |
Correct |
66 ms |
15136 KB |
Output is correct |
3 |
Correct |
49 ms |
8156 KB |
Output is correct |
4 |
Correct |
62 ms |
15064 KB |
Output is correct |
5 |
Correct |
63 ms |
15120 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
86 ms |
22764 KB |
Output is correct |
2 |
Correct |
118 ms |
25452 KB |
Output is correct |
3 |
Correct |
131 ms |
25480 KB |
Output is correct |
4 |
Correct |
109 ms |
24908 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
41 ms |
5388 KB |
Output is correct |
3 |
Correct |
11 ms |
1420 KB |
Output is correct |
4 |
Correct |
11 ms |
1384 KB |
Output is correct |
5 |
Correct |
51 ms |
21676 KB |
Output is correct |
6 |
Correct |
61 ms |
18492 KB |
Output is correct |
7 |
Correct |
80 ms |
25120 KB |
Output is correct |
8 |
Correct |
14 ms |
2356 KB |
Output is correct |
9 |
Correct |
15 ms |
2284 KB |
Output is correct |
10 |
Correct |
58 ms |
29164 KB |
Output is correct |
11 |
Correct |
93 ms |
31148 KB |
Output is correct |
12 |
Correct |
53 ms |
26352 KB |
Output is correct |
13 |
Correct |
30 ms |
5972 KB |
Output is correct |
14 |
Correct |
19 ms |
4948 KB |
Output is correct |
15 |
Correct |
9 ms |
4564 KB |
Output is correct |
16 |
Correct |
10 ms |
5076 KB |
Output is correct |
17 |
Correct |
11 ms |
5204 KB |
Output is correct |
18 |
Correct |
28 ms |
5792 KB |
Output is correct |
19 |
Correct |
69 ms |
14952 KB |
Output is correct |
20 |
Correct |
66 ms |
15136 KB |
Output is correct |
21 |
Correct |
49 ms |
8156 KB |
Output is correct |
22 |
Correct |
62 ms |
15064 KB |
Output is correct |
23 |
Correct |
63 ms |
15120 KB |
Output is correct |
24 |
Correct |
86 ms |
22764 KB |
Output is correct |
25 |
Correct |
118 ms |
25452 KB |
Output is correct |
26 |
Correct |
131 ms |
25480 KB |
Output is correct |
27 |
Correct |
109 ms |
24908 KB |
Output is correct |
28 |
Correct |
76 ms |
13936 KB |
Output is correct |
29 |
Correct |
119 ms |
25832 KB |
Output is correct |
30 |
Correct |
99 ms |
25152 KB |
Output is correct |
31 |
Correct |
81 ms |
31220 KB |
Output is correct |
32 |
Correct |
68 ms |
15132 KB |
Output is correct |
33 |
Correct |
102 ms |
21484 KB |
Output is correct |
34 |
Correct |
144 ms |
26528 KB |
Output is correct |
35 |
Correct |
146 ms |
26344 KB |
Output is correct |