To illustrate this, consider S to be 110111110111110111 which has minimum period m = 6.Suppose we try to find a cycle of period k = 9.Then h = 3, m1=2 and k1=3Take out the three subseqences111111…,111111…and010101…,and note that two are trivial but the third does not have a cycle of period 3. It does , of course,have a cycle of period 2, but that would produce a cycle of period 6 in S