For each of the following pairs of parents, generate their two children when applying the basic genetic algorithm presented in Sec. 14.4 to an integer nonlinear programming problem involving only a single variable x, which is restricted to integer values over the interval 0 ≤ x ≤ 63. (Follow the instructions given at the beginning of the Problems section to obtain the needed random numbers, and then show your use of these random numbers.)
(a) The parents are 010011 and 100101.
(b) The parents are 000010 and 001101.
(c) The parents are 100000 and 101000.