R=range
J=lambda:map(int,input().split())
N,M,X=J()
L=N*N
E=[0]*L
D=[0]*N
for j in R(M):
	u,v=J();u-=1;v-=1;E[u*N+v]+=1;D[u]+=1
	if u!=v:E[v*N+u]+=1;D[v]+=1
I=[0,1]
P=998244353
for j in R(2,M+1):I+=[P-P//j*I[P%j]]
T=[[0]*L for i in R(L)]
for i in R(N):
	for j in R(N):
		x=N*i+j
		if D[j]>1:
			if E[x]:
				for k in R(N):y=N*j+k;T[x][y]=(E[y]-(k==i))*I[D[j]-1]
		elif i==j:
			for k in R(N):y=N*j+k;T[x][y]=E[y]
			if D[j]<1:T[x][x]=1
		elif E[x]:T[x][N*j+j]=1
v=[0]*L
if D[0]:
	for j in R(N):v[j]=E[j]*I[D[0]]%P
else:v[0]=1
X-=1
while X:
	if X&1:v=[sum(v[i]*T[i][j]for i in R(L))%P for j in R(L)]
	T=[[sum(T[i][j]*T[j][k]for j in R(L))%P for k in R(L)]for i in R(L)];X>>=1
for j in R(N):print(sum(v[N*i+j]for i in R(N))%P)