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;
template<typename T>
void out(T x) { cout << x << endl; exit(0); }
#define watch(x) cout << (#x) << " is " << (x) << endl
using ll = long long;
const int maxn = 1e6 + 5;
struct dsu0 {
    vector<int> par, siz;
    int n;
    int cc;
    int largest;
    void init(int n) {
	assert(n>0);
	this->n=n;
	cc=n;
	par.resize(n+10);siz.resize(n+10);
	for (int i=0; i<n; i++) par[i]=i,siz[i]=1;
	largest=1;
    }
    int parent(int x) {
	assert(x>=0 && x<n);
	return par[x]==x?x:par[x]=parent(par[x]);
    }
    bool join(int x, int y) {
	x=parent(x);y=parent(y);
	if (x==y) return false;
	cc--;
	if (siz[x]<siz[y]) swap(x,y);
	siz[x]+=siz[y];par[y]=x;
	largest=max(largest,siz[x]);
	return true;
    }
};
const int NONE = -1;
const int CAT = 0;
const int DOG = 1;
int n;
vector<int> g[maxn];
vector<pair<int,int>> edges;
int state[maxn];
void initialize(int N, std::vector<int> A, std::vector<int> B) {
    n = N;
    for (int i=0; i<n-1; i++) {
	int u = A[i];
	int v = B[i];
	u--; v--;
	assert(u>=0 && v>=0); // assume given to us 1-indexed
	assert(u<n && v<n);
	
	g[u].push_back(v);
	g[v].push_back(u);
	edges.push_back({u,v});
    }
    for (int i=0; i<n; i++) {
	state[i] = NONE;
    }
}
void print() {
    return;
    for (int i=0; i<n; i++) {
	cout<<state[i]<<" ";
    }
    cout<<endl;
}
int solve() {
    int res = n+10;
    for (int mask=0; mask<(1<<(n-1)); mask++) {
	dsu0 dsu;
	dsu.init(n);
	for (int j=0; j<n-1; j++) {
	    if (!(mask>>j&1)) {
		int u = edges[j].first;
		int v = edges[j].second;
		dsu.join(u, v);
	    }
	}
	map<int,int> mp;
	bool ok = true;
	
	for (int i=0; i<n && ok; i++) {
	    int cc = dsu.parent(i);
	    if (state[i] == NONE) continue;
	    if (!mp.count(cc)) {
		mp[cc] = state[cc];
	    }
	    if (mp[cc] != state[i]) {
		ok = false;
	    }
	}
	if (ok) {
	    int rm = __builtin_popcount(mask);
	    res = min(res, rm);
	}
    }
    return res;
}
int cat(int v) {
    v--;
    state[v] = CAT;
    print();
    return solve();
}
int dog(int v) {
    v--;
    state[v] = DOG;
    print();
    return solve();
}
int neighbor(int v) {
    v--;
    state[v] = NONE;
    print();
    return solve();
}
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