I=input
N,M,K=map(int,I().split())
S=[int(I(),2)for i in range(M)]
i=j=0
while i<M and j<N:
	k=i
	while k<M and S[k]>>j&1<1:k+=1
	if k<M:
		S[i],S[k]=S[k],S[i];i+=1;k+=1
		while k<M:
			if S[k]>>j&1:S[k]^=S[i-1]
			k+=1
	j+=1
print(1<<(N-i)%K)