#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());
}
mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
long long random(long long l, long long r) {
    return uniform_int_distribution<long long>(l, r)(rng);
}
unsigned long long random(unsigned long long l, unsigned long long r) {
    return uniform_int_distribution<unsigned long long>(l, r)(rng);
}
template <class T> T random(T r) {
    return rng() % r;
}
const int N = 1e6 + 5, LG = 7;
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
int info[N];
vector<int> adj[N], order;
void dfs(int u, int fa) {
	order.emplace_back(u);
	for (auto v : adj[u]) if (v != fa) {
		dfs(v, u);
	}
}
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, -1);
	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]));
}
#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
#ifndef hwe
	#include "Ioi.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());
}
mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
long long random(long long l, long long r) {
    return uniform_int_distribution<long long>(l, r)(rng);
}
unsigned long long random(unsigned long long l, unsigned long long r) {
    return uniform_int_distribution<unsigned long long>(l, r)(rng);
}
template <class T> T random(T r) {
    return rng() % r;
}
const int N = 1e6 + 5, LG = 7;
const int MOD = 1e9 + 7;
const int inf = 1e9;
const long long INF = 1e18;
#ifdef hwe
int Move(int u) {
	return 1;
}
#endif
ll X = 0;
int info[N];
vector<int> adj[N], order;
void dfs(int u, int fa) {
	order.emplace_back(u);
	for (auto v : adj[u]) if (v != fa) {
		dfs(v, u);
	}
}
void getAns(vector<int> &state, int u) {
	assert(state[u] == 1); state[u] = 0;
	for (auto v : adj[u]) if (state[v] == 1) {
		X |= (ll)Move(v) << info[v];
		getAns(state, v);
		Move(u);
	}
}
ll Ioi(int n, int m, int a[], int b[], int P, int V, 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, -1);
	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; state[P] == 0; ++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;
		}
	}
	X = (ll)V << info[P];
	getAns(state, P);
	return X;
}
#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];
    return 0;
}
#endif
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