This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include "catdog.h"
#include <bits/stdc++.h>
using namespace std;
#define dbg(x) cerr << #x << ": " << x << endl;
const int MAX_N = 1e5 + 5;
const int INF = 1e7;
vector<int> g[MAX_N];
// 0 - has none, 1 - has cat, 2 - has dog
int type[MAX_N];
// each connected subtree must be of one of these types
int dp[MAX_N][3];
void dfs(int v = 0, int p = -1) {
dp[v][0] = dp[v][1] = dp[v][2] = INF;
dp[v][type[v]] = 0;
if (type[v] == 0) {
dp[v][1] = dp[v][2] = 0;
}
for (auto u : g[v]) {
if (u == p) continue;
dfs(u, v);
if (type[v] == 0) {
dp[v][0] += min({dp[u][0], dp[u][1] + 1, dp[u][2] + 1});
dp[v][1] += min({dp[u][0], dp[u][1], dp[u][2] + 1});
dp[v][2] += min({dp[u][0], dp[u][1] + 1, dp[u][2]});
} else if (type[v] == 1) {
dp[v][1] += min({dp[u][0], dp[u][1], dp[u][2] + 1});
} else {
dp[v][2] += min({dp[u][0], dp[u][1] + 1, dp[u][2]});
}
}
}
void initialize(int n, vector<int> a, vector<int> b) {
for (int i = 0; i < n - 1; ++i) {
int u = a[i];
int v = b[i];
--u, --v;
g[u].push_back(v);
g[v].push_back(u);
}
}
int cat(int v) {
--v;
type[v] = 1;
dfs();
return dp[0][1];
}
int dog(int v) {
--v;
type[v] = 2;
dfs();
return dp[0][2];
}
int neighbor(int v) {
--v;
type[v] = 0;
dfs();
return min({dp[0][0], dp[0][1], dp[0][2]});
}
// int main() {
// int n;
// cin >> n;
// vector<int> a(n - 1), b(n - 1);
// for (int i = 0; i < n - 1; ++i) {
// cin >> a[i] >> b[i];
// }
// initialize(n, a, b);
// int q;
// cin >> q;
// while (q--) {
// int t;
// cin >> t;
// int v;
// cin >> v;
// if (t == 1) {
// cout << cat(v) << '\n';
// } else if (t == 2) {
// cout << dog(v) << '\n';
// } else {
// cout << neighbor(v) << '\n';
// }
// }
// }
/*
5
1 2
2 3
2 4
4 5
5
1 3
2 5
1 2
2 1
3 2
*/
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