#include <bits/stdc++.h>
#include <atcoder/all>
using namespace std;
using namespace atcoder;
//using mint = modint1000000007;
//const int mod = 1000000007;
using mint = modint998244353;
const int mod = 998244353;
//const int INF = 1e9;
//const long long LINF = 1e18;
#define rep(i, n) for (int i = 0; i < (n); ++i)
#define rep2(i,l,r)for(int i=(l);i<(r);++i)
#define rrep(i, n) for (int i = (n) - 1; i >= 0; --i)
#define rrep2(i,l,r)for(int i=(r) - 1;i>=(l);--i)
#define all(x) (x).begin(),(x).end()
#define allR(x) (x).rbegin(),(x).rend()
#define P pair<int,int>
template<typename A, typename B> inline bool chmax(A & a, const B & b) { if (a < b) { a = b; return true; } return false; }
template<typename A, typename B> inline bool chmin(A & a, const B & b) { if (a > b) { a = b; return true; } return false; }
#include <vector>
template<typename T>
std::vector<vector<T>> matrixMul(const std::vector<std::vector<T>>&A, const std::vector<std::vector<T>>&B) {
	std::vector<vector<T>> C(A.size(), std::vector<T>(B[0].size()));
	for (int i = 0; i < (int)A.size(); ++i) {
		for (int k = 0; k < (int)A[0].size(); ++k) {
			for (int j = 0; j < (int)B[0].size(); ++j) {
				C[i][j] += A[i][k] * B[k][j];
			}
		}
	}
	return C;
}
template<typename T>
std::vector<std::vector<T>> matrixPow(long long n, std::vector<std::vector<T>> mat) {
	int size = (int)mat.size();
	vector<vector<mint>> mret(size, vector<mint>(size));
	for (int i = 0; i < size; ++i) {
		mret[i][i] = 1;
	}
	while (n > 0) {
		if (1 & n) mret = matrixMul(mat, mret);
		mat = matrixMul(mat, mat);
		n >>= 1;
	}
	return mret;
}
int main() {
	ios::sync_with_stdio(false);
	cin.tie(nullptr);
	int n, m, x; cin >> n >> m >> x;
	vector<int>d(n);
	vector a(n, vector<int>(n));
	vector to(n, vector<int>(n));
	rep(i, m) {
		int u, v; cin >> u >> v;
		u--, v--;
		d[u]++;
		if (u != v)d[v]++;
		to[u][v]++;
		if (u != v)to[v][u]++;
	}
	vector<mint>inv(m + 1);
	rep2(i, 1, m + 1)inv[i] = mint(i).inv();
	vector mat(n * (n + 1), vector<mint>(n * (n + 1)));
	rep(i, n)rep(j, n) {
		if (0 == d[j])continue;
		int p = i * n + j;
		if (1 != d[j]) {
			rep(k, n) {
				// (i,j)->(j,k)
				int q = j * n + k;
				mint val = to[j][k];
				if (i == k) val--;
				mat[q][p] += val * inv[d[j] - 1];
			}
		}
		else {
			int q = n * n + j;
			mat[q][p] += 1;
		}
	}
	rep(i, n) {
		int p = n * n + i;
		if (0 == d[i]) {
			mat[p][p] = 1;
			continue;
		}
		rep(j, n) {
			// (*,i)->(i,j)
			int q = i * n + j;
			mint val = to[i][j];
			mat[q][p] += val * inv[d[i]];
		}
	}
	mat = matrixPow(x, mat);
	rep(i, n) {
		mint ans = 0;
		rep(j, n + 1) ans += mat[j * n + i][n * n];
		cout << ans.val() << endl;
	}
	return 0;
}