Homework #3Assigned: February 3
Due: February 10, 4:30pm
 (10 points) Consider the following description
of a function mystery.
The function mystery takes a nonempty
list of numbers in which no number is greater
than its own index (first element is at index 1),
and returns a list of numbers of the same length.
Each number in the argument is treated as a
backward index starting from its own position to
a point earlier in the list of numbers. The
result at each position is found by counting
backward from the current position according to
the index.
Examples:
> (mystery '(1 1 1 3 4 2 1 1 9 2))
(1 1 1 1 1 4 1 1 1 9)
> (mystery '(1 2 3 4 5 6 7 8 9))
(1 1 1 1 1 1 1 1 1)
> (mystery '(1 2 3 1 2 3 4 1 8 2 10))
(1 1 1 1 1 1 1 1 2 8 2)
Define the mystery function. Full credit will only
be awarded to solutions which completely follow the
Eleventh, Twelfth, and Thirteenth
Commandments.
 (10+10=20 points) [EOPL] Exercise 1.19 on p.
31.
 (5 points) [EOPL] Exercise 1.27 on p. 34.
 (20 points) [EOPL] Exercise 1.31 on p. 37.
