import sys input = sys.stdin.readline def toNum(s): ret = 0 for c in s: k = ord(c) - ord('0') ret <<= 3 ret += k return ret N, K = map(int, input().split()) st = list([toNum(input().rstrip()) for _ in [0] * N]) visited = [0] * (1 << ((K << 1) + K)) for sv in st: if(visited[sv] == 1): continue stk = [sv] while(stk): v = stk.pop() for i in range(K): k = (i << 1) + i if(((v >> k) & 7) == 0): continue nv = v - (1 << k) if(visited[nv] == 1): continue visited[nv] = 1 stk.append(nv) ans = sum(visited[k] for k in st) print(ans)