The game of life is normally played on a grid. See http://en.wikipedia.org/wiki/Conway%27s_Game_of_Life . You can imagine (as I was inspired by a nice old prof), a B23/S24 version of it played on the line. For the line version, the 4 significant neighbours of a cell are the next and second next cells at its right and left.
Write a set of Lisp functions to implement this variation of the game.

The main function must be (LifeLine conf gen), where conf is the initial configuration of the game – represented as a list containing the ‘relative’ coordinates of live cells, and gen is the number of generations the game is

to be played for. The output should be the sequence of configurations corresponding to each generation. For example (LifeLine ‘(1 2) 5) should produce the output:
(1 2)
(0 3)

(1 2)
(0 3)
(1 2)
(0 3)
While (LifeLine ‘(13 14 15 16 17) 8) should produce the output: (13 14 15 16 17)

(12 13 15 17 18)
(11 13 14 15 16 17 19)
(12 15 18)
(13 14 16 17)
(12 14 16 18)
(13 14 15 16 17)
(12 13 15 17 18)
(11 13 14 15 16 17 19)

You may only use the following LISP functions and predicates

     (car x)
     (cdr x)
     (cons x y)

     (atom x)
     (null x)
     (eq x y)
     (equal x y)
     (numberp x)
     (listp x)

     (eval y)
     (funcall x ...)
     (apply x y)

special forms (including logic connectives)

     (defun ...)
     (defmacro ...)
     (let ((x y) (u v)...) z)
     (lambda (x y) ...)

     (quote x)        and its short form 'x
     (function y)   as well as #'
     `( ...)
     (list a1 a2 ...)

     (if x y z)
     (cond  ... )
     (and x y ...)
     (or x y ...)
     (not x)
     (mapcar f l)

and numeric operators and comparisons such as

     (+ x y)
     (- x y)
     (* x y)
     (/ x y)
     (< x y)
     (mod x y)
     (floor x)
     (ceiling x)
     (> x y)

     (= x y)
     (<= x y)
     (>= x y)

You may also use a combination of car and cdr, such as

     (cadr ...), (cdaar ...)

as well as

     (first x)
     (second x)
     (third x)
     ...

(rest x)

etc.
For printing purposes you may use the functions:

print
format
If you would like to use any other functions of forms, please talk to me.