#include "bits/stdc++.h"

#include <stdio.h>
#include <math.h>

#include "atcoder/all"
#include <float.h>

#include <boost/multiprecision/cpp_int.hpp>
using namespace boost::multiprecision;

using namespace std;
using namespace atcoder;

using ll = long long;
using ull = unsigned long long;
using mint = modint998244353;
using mint2 = modint1000000007;
const double eps = 1e-9;

#define REP(i, n) for (ll i = 0; i < ll(n); ++i)
#define REPI(i, init, n) for (ll i = init; i < ll(n); ++i)
#define REPD(i, init) for (ll i = init; i >=0; --i)
#define REPDI(i, init, n) for (ll i = init; i >=n; --i)
#define REPE(i, c) for (const auto& i : c)
#define TCASE() ll _ttt; cin >> _ttt; while(_ttt--)

using vl = vector<ll>; using vvl = vector<vl>; using vvvl = vector<vvl>;
#define VLI(a, n) vector<ll> a; a.assign(n, 0); for(auto& x : a) cin >> x;
#define DLI(a, n) deque<ll> a; a.assign(n, 0); for(auto& x : a) cin >> x;
#define VSI(a, n) vector<string> a; a.assign(n, ""); for(auto& x : a) cin >> x;
#define VVLI(a, n, m, init) vector<vector<ll>> a(n); for(auto& x : a) x.assign(m, init);
using vd = vector<double>; using pl = pair<ll, ll>; using vpl = vector<pl>;

struct uv { ll u; ll v; ll c; };
#define VUVI(a, n) vector<uv> a; a.assign(n, {0, 0, 1}); for(auto& x : a) {cin >> x.u >> x.v; x.u--; x.v--;}
#define VUVCI(a, n) vector<uv> a; a.assign(n, {0, 0, 0}); for(auto& x : a) {cin >> x.u >> x.v >> x.c; x.u--; x.v--;}
vvl to_edge(const ll n, const vector<uv>& v) { vvl ret(n); for (auto& x : v) ret[x.u].push_back(x.v); return ret; }
vvl to_edge_d(const ll n, const vector<uv>& v) { vvl ret(n); for (auto& x : v) { ret[x.u].push_back(x.v); ret[x.v].push_back(x.u); } return ret; }

template <class T = long long> using pql = priority_queue<T>;
template <class T = long long> using pqg = priority_queue<T, vector<T>, greater<T>>;
using vm = vector<mint>; using vvm = vector<vm>;

ostream& operator<<(ostream& os, const mint& v) { os << v.val(); return os; }
void yn(bool f) { std::cout << (f ? "Yes" : "No") << endl; };
template<class T> void ov(const T& v) { for (auto it = v.begin(); it != v.end(); it++) { if (it != v.begin()) cout << " "; cout << *it; } };
template<> void ov(const vm& v) { for (auto it = v.begin(); it != v.end(); it++) { if (it != v.begin()) cout << " "; cout << it->val(); } };

const ll llhuge = 1LL << 62; //十分でかいが多少足しても溢れない数値
auto gmax(const auto& a, const auto& b) { return a > b ? a : b; };
auto gmin(const auto& a, const auto& b) { return a < b ? a : b; };
bool chmin(auto& a, const auto& b) { const auto olda = a; a = gmin(a, b); return olda != a; }
bool chmax(auto& a, const auto& b) { const auto olda = a; a = gmax(a, b); return olda != a; }
void sort(auto& v) { std::ranges::sort(v); };
void rev(auto& v) { std::ranges::reverse(v); };
template<class T> auto p_sum(const T& v) { T ret(v.size()); std::partial_sum(begin(v), end(v), ret.begin()); return ret; };
template<class T, class K = T::key_type, class V = T::mapped_type> [[nodiscard]] V myat(const T& mp, const K& key) { return mp.find(key) == mp.end() ? V() : mp.at(key); }
long long ceil(const long long a, const long long b) { return (a + b - 1) / b; }

using mat_row = vector<mint>;
using mat = vector<mat_row>;
mat make_mat(ll size, mint init = 0) {
	return mat(size, mat_row(size, init));
}

mat operator*(const mat& a, const mat& b) {
	mat c(a.size(), mat_row(b[0].size()));
	for (size_t i = 0; i < c.size(); ++i)
		for (size_t j = 0; j < c[0].size(); ++j)
			for (size_t k = 0; k < a[0].size(); ++k)
				c[i][j] += a[i][k] * b[k][j];
	return c;
}
mat pow(mat a, ll n) {
	mat res(a.size(), mat_row(a[0].size()));
	for (size_t i = 0; i < res.size(); ++i) res[i][i] = 1;
	for (; n; n /= 2) {
		if (n & 1) res = res * a;
		a = a * a;
	}
	return res;
}


int main() {
	cin.tie(nullptr);
	ios::sync_with_stdio(false);

	ll n, m, x;
	cin >> n >> m >> x;

	vvl ed(n, vl(n, 0));
	vl c(n, 0);

	REP(i, m) {
		ll u, v;
		cin >> u >> v;
		u--; v--;
		c[u]++; 
		if (u != v) c[v]++;

		ed[u][v]++;
		if (u != v) ed[v][u]++;
	}


	if (c[0] == 0) {
		cout << 1 << endl;
		REPI(i, 1, n) {
			cout << 0 << endl;
		}
		exit(0);
	}

	auto mt = make_mat(100, 0);
	REP(i, n) REP(j, n) REP(k, n) {
		if (c[j] == 0) continue;
		if (c[j] == 1) {
			if (i != j) {
				if (j == k) mt[i * 10 + j][j * 10 + k] = 1;
				else mt[i * 10 + j][j * 10 + k] = 0;
			}
			else {
				mt[i * 10 + j][j * 10 + k] = ed[j][k];
			}
			continue;
		}
		mint t = ed[j][k];
		if (t == 0) continue;
		if (i == k) t -= 1;

		mt[i * 10 + j][j * 10 + k] = t / mint(c[j] - 1);
	}


	auto init = make_mat(100, 0);
	auto res = pow(mt, x - 1);

	REP(i, n) {
		mint ans = 0;
		REP(j, n) REP(k, n){
			ans += res[j][k * 10 + i] * ed[0][j] / c[0];
		}
		cout << ans.val() << endl;
	}
	

	exit(0);
}