def main(): N,M,T = map(int,input().split()) e = [[] for _ in range(N)] for _ in range(M): s,t = map(int,input().split()) e[s].append(t) e[t].append(s) mod = 998244353 def matrix_mul(A,B,mod = None): nA = len(A) mA = len(A[0]) mB = len(B[0]) tmp = [[0]*mB for _ in range(nA)] if mod is None: for i in range(nA): for j in range(mB): tmp[i][j] = sum(A[i][k]*B[k][j] for k in range(mA)) return tmp for i in range(nA): for j in range(mB): tmp[i][j] = sum(A[i][k]*B[k][j]%mod for k in range(mA))%mod return tmp def matrix_pow(A,n,mod = None): nbit = list(str(bin(n))[2:]) nbit = [int(i) for i in nbit] N = len(A) C = [[0]*N for _ in range(N)] B = A for i in range(N): C[i][i] = 1 if mod is None: for i in range(len(nbit)): if nbit[-1-i] == 1: C = matrix_mul(C,B) B = matrix_mul(B,B) return C for i in range(len(nbit)): if nbit[-1-i] == 1: C = matrix_mul(C,B,mod) B = matrix_mul(B,B,mod) return C S = [[0]*N for _ in range(N)] for i in range(N): for j in e[i]: S[i][j] = 1 tS = matrix_pow(S,T,mod=mod) B = [[0] for _ in range(N)] B[0] = [1] ans = matrix_mul(tS,B,mod=mod) print(ans[0][0]) main()