#ifndef hwe
#include "Joi.h"
#endif
#include <bits/stdc++.h>
using namespace std;
#define POPCOUNT(n) (__builtin_popcountll((n)))
#define CLZ(n) (__builtin_clzll((n)))
#define CTZ(n) (__builtin_ctzll((n)))
#define LOG(n) (63 - __builtin_clzll((n)))
#define BIT(n, i) (((n) >> (i)) & 1ll)
#define MASK(i) (1ll << (i))
#define FLIP(n, i) ((n) ^ (1ll << (i)))
#define ON(n, i) ((n) | MASK(i))
#define OFF(n, i) ((n) & ~MASK(i))
#define Int __int128
#define fi first
#define se second
typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<long long, long long> pll;
typedef pair<long long, int> pli;
typedef pair<int, long long> pil;
typedef vector<pair<int, int>> vii;
typedef vector<pair<long long, long long>> vll;
typedef vector<pair<long long, int>> vli;
typedef vector<pair<int, long long>> vil;
template <class T1, class T2> bool maximize(T1 &x, T2 y) {
if (x < y) {
x = y;
return true;
}
return false;
}
template <class T1, class T2> bool minimize(T1 &x, T2 y) {
if (x > y) {
x = y;
return true;
}
return false;
}
template <class T> void remove_duplicate(vector<T> &ve) {
sort (ve.begin(), ve.end());
ve.resize(unique(ve.begin(), ve.end()) - ve.begin());
}
const int N = 1e6 + 5, LG = 60;
const int MOD = 1e9 + 7;
const int inf = 1e9;
const long long INF = 1e18;
#ifdef hwe
void MessageBoard(int u, int msg) {
cerr << "message " << u << ' ' << msg << endl;
}
#endif
namespace JOI {
int info[N], dep[N];
vector<int> adj[N], order;
bitset<N> vis;
void dfs(int u) {
order.emplace_back(u); vis[u] = true;
for (auto v : adj[u]) if (!vis[v]) {
dep[v] = dep[u] + 1;
dfs(v);
}
}
void Joi(int n, int m, int a[], int b[], ll X, int subtask) {
for (int i = 0; i < m; ++i) {
adj[a[i]].emplace_back(b[i]);
adj[b[i]].emplace_back(a[i]);
}
order.clear();
dfs(0);
if (*max_element(dep, dep + n) + 1 >= LG) {
for (int i = 0; i < n; ++i)
MessageBoard(i, BIT(X, dep[i] % LG));
return;
}
vector<int> ve, state(n, 0);
// state[i]: 0: not visited, 1: activated, 2: deleted
for (int i = 0; i < LG; ++i) {
info[order[i]] = i;
state[order[i]] = 1, ve.emplace_back(order[i]);
}
for (int i = LG; i < n; ++i) {
state[order[i]] = 1, ve.emplace_back(order[i]);
for (int j = 0; j < ve.size(); ++j) {
int u = ve[j], cnt = 0;
for (auto v : adj[u]) cnt += (state[v] != 2);
if (cnt > 1) continue; // this is a leaf in the component
info[order[i]] = info[u], state[u] = 2;
ve.erase(ve.begin() + j);
break;
}
}
for (int i = 0; i < n; ++i)
cerr << info[i] << ' ';
cerr << '\n';
for (int i = 0; i < n; ++i)
MessageBoard(i, BIT(X, info[i]));
}
}
void Joi(int n, int m, int a[], int b[], ll X, int subtask) {
JOI::Joi(n, m, a, b, X, subtask);
}
#ifdef hwe
int a[N], b[N];
signed main() {
int n, m; cin >> n >> m;
ll X; cin >> X;
for (int i = 0; i < m; ++i) cin >> a[i] >> b[i];
Joi(n, m, a, b, X, 0);
return 0;
}
#endif
#include "Ioi.h"
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define all(x) x.begin(), x.end()
static vector<int> adj[10000], order;
static int seen[10000], depth[10000], par[10000], idx[10000];
static ll X;
static void dfs(int i) {
seen[i] = true;
order.emplace_back(i);
for (int j: adj[i]) {
if (seen[j]) continue;
depth[j] = depth[par[j] = i] + 1;
dfs(j);
}
}
static void dfs2(int i) {
seen[i] = false;
for (int j: adj[i]) {
if (seen[j] != 1) continue;
X |= (ll) Move(j) << idx[j];
dfs2(j);
Move(i);
}
}
ll Ioi(int N, int M, int A[], int B[], int P, int V, int T) {
while (M--) {
adj[A[M]].emplace_back(B[M]);
adj[B[M]].emplace_back(A[M]);
}
dfs(0);
if (*max_element(depth, depth + N) >= 59) {
if (depth[P] >= 59) {
X = (ll) V << (depth[P] % 60);
for (int i = 59; i--; P = par[P]) X |= (ll) Move(par[P]) << (depth[par[P]] % 60);
return X;
}
X = V;
while (P) X = Move(P = par[P]);
for (int i = N; i--;) {
if (depth[i] == 59) {
order = {i};
while (order.back()) order.emplace_back(par[order.back()]);
reverse(all(order));
for (int i = 1; i < 60; ++i) X |= (ll) Move(order[i]) << i;
return X;
}
}
assert(false);
}
memset(seen, false, sizeof seen);
vector<int> sub(order.begin(), order.begin() + 60);
for (int i = 60; i--;) {
seen[sub[i]] = true;
idx[sub[i]] = i;
}
for (int i = 60; not seen[P]; ++i) {
seen[order[i]] = true;
for (int j: sub) {
int cnt = 0;
for (int k: adj[j]) cnt += seen[k] != 2;
if (cnt > 1) continue;
idx[order[i]] = idx[j];
sub.erase(find(all(sub), j));
seen[j] = 2;
break;
}
sub.emplace_back(order[i]);
}
X = (ll) V << idx[P];
dfs2(P);
return X;
}
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