There are 132 ways in which one can parenthesize the product abcdefg.
(a) Determine, as in part (c) of Example 1.43, the list of five l's and five 0's that corresponds to each of the following.
(i) (((ab)c)(d(ef)))
(ii) (a(b(c(d(ef)))))
(iii) ((((ab)(cd))e)f)
(b) Find, as in Example 1.43, the way to parenthesize abcdef that corresponds to each given list of five l's and five 0's.
(i) 1110010100
(ii) 1100110010
(iii) 1011100100