Write a recursive function that returns all the factors of (i.e. numbers that divide evenly into) a positive integer except for 1 and the number itself. Hint: You will probably need some sort of helper function. You may want to use the REM function.

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Chapter1: Computer Networks And The Internet
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Please answer using Lisp programing
Question 1:
February 29th appears in years that obey the following conditions: the year is
divisible by 4 and the year is not divisible by 100, unless the year is also divisible
by 400. Thus, 2016 was a leap year. 1900 was not a leap year, but 2000 was.
Write a predicate (function that returns t or nil) that answers the question: Is this
year a leap year?
"Task A: leap-yearp"
((leap-yearp 1995) (null *))
((leap-yearp 1996) *)
((leap-yearp 1900) (null *))
((leap-yearp 2000) *))
Question 2:
Write a recursive function that returns all the factors of (i.e. numbers that divide
evenly into) a positive integer except for 1 and the number itself. Hint: You will
probably need some sort of helper function. You may want to use the REM
function.
For example:
> (factors 31)
NIL
> (factors 32)
(2 4 8 16)
> (factors 33)
(3 11)
Transcribed Image Text:Please answer using Lisp programing Question 1: February 29th appears in years that obey the following conditions: the year is divisible by 4 and the year is not divisible by 100, unless the year is also divisible by 400. Thus, 2016 was a leap year. 1900 was not a leap year, but 2000 was. Write a predicate (function that returns t or nil) that answers the question: Is this year a leap year? "Task A: leap-yearp" ((leap-yearp 1995) (null *)) ((leap-yearp 1996) *) ((leap-yearp 1900) (null *)) ((leap-yearp 2000) *)) Question 2: Write a recursive function that returns all the factors of (i.e. numbers that divide evenly into) a positive integer except for 1 and the number itself. Hint: You will probably need some sort of helper function. You may want to use the REM function. For example: > (factors 31) NIL > (factors 32) (2 4 8 16) > (factors 33) (3 11)
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