#include "Anthony.h"
#include "bits/stdc++.h"
#define FOR(i, l, r) for(int i = (l); i < (r); ++i)
#define ROF(i, r, l) for(int i = (r)-1; i >= (l); --i)
#define mp make_pair
#define mt make_tuple
#define ff first
#define ss second
#define all(v) begin(v), end(v)
#define rall(v) rbegin(v), rend(v)
#define sz(v) (int)v.size()
#define pb push_back
#define eb emplace_back
#define compact(v) v.erase(unique(all(v)), end(v))
#define dbg(x) "[" #x " = " << (x) << "]"
using namespace std;
template<typename T>
bool minimize(T& a, const T& b){
if(a > b) return a = b, true;
return false;
}
template<typename T>
bool maximize(T& a, const T& b){
if(a < b) return a = b, true;
return false;
}
using ll = long long;
using db = double;
using ld = long double;
using ull = unsigned long long;
using pi = pair<int, int>;
using pl = pair<ll, ll>;
using vi = vector<int>;
using vl = vector<ll>;
using vb = vector<bool>;
using vc = vector<char>;
using vpi = vector<pi>;
using vpl = vector<pl>;
using vvi = vector<vi>;
using vvl = vector<vl>;
vi Mark(int N, int M, int A, int B, vi U, vi V) {
vector<vpi> adj(N);
FOR(i, 0, M){
int u = U[i], v = V[i];
adj[u].eb(v, i);
adj[v].eb(u, i);
}
vi result(M, -1), d(N, -1);
queue<int> q;
d[0] = 0;
q.push(0);
while(!q.empty()){
int u = q.front(); q.pop();
FOR(z, 0, sz(adj[u])){
int v, id; tie(v, id) = adj[u][z];
if(result[id] != -1) continue;
if(d[v] == d[u]) result[id] = 3;
else{
if(d[v] != -1){
result[id] = 3;
continue;
}
d[v] = d[u] + 1;
result[id] = d[u] % 3;
q.push(v);
}
}
}
return result;
}
#include "Catherine.h"
#include "bits/stdc++.h"
#define FOR(i, l, r) for(int i = (l); i < (r); ++i)
#define ROF(i, r, l) for(int i = (r)-1; i >= (l); --i)
#define mp make_pair
#define mt make_tuple
#define ff first
#define ss second
#define all(v) begin(v), end(v)
#define rall(v) rbegin(v), rend(v)
#define sz(v) (int)v.size()
#define pb push_back
#define eb emplace_back
#define compact(v) v.erase(unique(all(v)), end(v))
#define dbg(x) "[" #x " = " << (x) << "]"
using namespace std;
template<typename T>
bool minimize(T& a, const T& b){
if(a > b) return a = b, true;
return false;
}
template<typename T>
bool maximize(T& a, const T& b){
if(a < b) return a = b, true;
return false;
}
using ll = long long;
using db = double;
using ld = long double;
using ull = unsigned long long;
using pi = pair<int, int>;
using pl = pair<ll, ll>;
using vi = vector<int>;
using vl = vector<ll>;
using vb = vector<bool>;
using vc = vector<char>;
using vpi = vector<pi>;
using vpl = vector<pl>;
using vvi = vector<vi>;
using vvl = vector<vl>;
int A, B, last_mark = -1;
void Init(int A, int B) {
::A = A;
::B = B;
}
int Move(std::vector<int> y) {
FOR(i, 0, 3) if(y[i] == 1) return i;
assert(false);
}
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