(30 points) Given the language L = 08*18*0U 18*08*1 over the alphabet S = {0,1}. (a) (20 points) For each of the following words determine whether that word is an element of L (2 points each). If it is not, briefly describe why not. E 010 001 111 10 101 0000001000 011101101 1110111 11111111 00000000 (b) (10 points) In words, how would you describe this language? i.e. "L is the language of all words over the alphabet