#include "Anthony.h"
#include <bits/stdc++.h>
using namespace std;
std::vector<int> Mark(int N, int M, int A, int B,
std::vector<int> U, std::vector<int> V) {
std::vector<int> X(M, -1);
vector<vector<pair<int, int>>> adj(N);
for (int i = 0; i < M; ++i) {
adj[U[i]].push_back({V[i], i});
adj[V[i]].push_back({U[i], i});
}
vector<int> dist(N, -1), par(N), e(N, -1), ord;
dist[0] = 0;
queue<int> q;
q.push(0);
while (!q.empty()) {
int v = q.front();
q.pop();
ord.push_back(v);
for (auto [to, i] : adj[v]) {
if (dist[to] == -1) {
dist[to] = dist[v] + 1;
par[to] = v;
e[to] = i;
q.push(to);
}
}
}
if (A >= 3) {
for (int i = 0; i < M; ++i) {
if (dist[U[i]] > dist[V[i]]) {
swap(U[i], V[i]);
}
X[i] = dist[U[i]] % 3;
}
} else {
vector<int> code{0, 1, 1, 0, 0, 1};
vector<int> dp(N, -1);
for (int x : ord) {
if (e[x] == -1 || par[x] && adj[par[x]].size() >= 3) {
if (e[x] == -1 || X[e[x]] == 1) {
dp[x] = 1;
} else {
dp[x] = 0;
}
}
if (x && adj[x].size() > 2) {
int c = e[x] == -1 || X[e[x]] == 1 ? 0 : 1;
for (auto [to, i] : adj[x]) {
if (i != e[x]) {
X[i] = c;
}
}
} else {
dp[x] = (dp[x] + 1) % size(code);
for (auto [to, i] : adj[x]) {
if (i != e[x]) {
X[i] = code[dp[x]];
dp[to] = dp[x];
}
}
}
}
}
assert(find(X.begin(), X.end(), -1) == X.end());
return X;
}
#include "Catherine.h"
#include <bits/stdc++.h>
using namespace std;
namespace {
int A, B, e = -1;
bool ok = false;
vector<int> adj;
vector<int> code{0, 1, 1, 0, 0, 1};
bool extendable(vector<int> a) {
for (int i = 0; i < size(code); ++i) {
bool yay = true;
for (int k = 0; k < size(a); ++k) {
if (a[k] != code[(i + k) % size(code)]) {
yay = false;
break;
}
}
if (yay) {
return true;
}
}
assert(size(a) < 5);
return false;
}
}
void Init(int A, int B) {
::A = A;
::B = B;
}
int Move(std::vector<int> y) {
if (e != -1) {
y[e] += 1;
}
int deg = accumulate(y.begin(), y.end(), 0);
if (A >= 3) {
int fi = -1, se = -1, cnt = 0;
for (int i = 0; i < A; ++i) {
if (y[i]) {
fi = fi == -1 ? i : fi;
se = i;
cnt += 1;
}
}
if (fi != 0 || se != 2) {
return e = fi;
} else {
return e = se;
}
} else {
if (size(adj) >= size(code)) {
ok = true;
}
if (deg > 2) {
ok = true;
for (int i = 0; i < A; ++i) {
if (y[i] == 1) {
if (i == e) {
return -1;
} else {
return e = i;
}
}
}
} else if (deg == 1) {
ok = true;
for (int i = 0; i < A; ++i) {
if (y[i]) {
if (i == e) {
return -1;
} else {
return e = i;
}
}
}
} else if (ok) {
--y[e];
for (int i = 0; i < A; ++i) {
if (y[i]) {
return e = i;
}
}
} else {
int a = -1, b = -1;
for (int i = 0; i < A; ++i) {
if (y[i]) {
a = a == -1 ? i : a;
b = i;
}
}
if (e == -1) {
adj.push_back(a);
adj.push_back(b);
return e = b;
}
int c = a ^ b ^ e;
adj.push_back(c);
if (adj.size() < 5 || extendable(adj)) {
if (adj.size() == 5) {
ok = true;
}
return e = c;
} else {
ok = true;
return -1;
}
}
assert(false);
}
}
