2. A positive integer is "perfect" if it equals the sum of all of its factors, excluding the number itself. Using a list comprehension and the function "factors", define a function "perfects ::

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2. A positive integer is "perfect" if it equals the sum of
all of its
factors, excluding the number itself. Using a list
comprehension and
the function "factors", define a function "perfects ::
Int -> [Int]"
that returns the list of all perfect numbers up to a
given limit. For
example (in GHCI):
> perfects 500
[6,28,496]
Note that "factors" is just:
factors: Int -> [Int]
factors n = [x | x Bool" which
returns "True" if the given "Int" is perfect, and "False"
otherwise.
Then use "isperfect" as a guard in a list
comprehension to filter out
all of the non-perfect integers (i.e., to keep only the
perfect
integers).
Transcribed Image Text:2. A positive integer is "perfect" if it equals the sum of all of its factors, excluding the number itself. Using a list comprehension and the function "factors", define a function "perfects :: Int -> [Int]" that returns the list of all perfect numbers up to a given limit. For example (in GHCI): > perfects 500 [6,28,496] Note that "factors" is just: factors: Int -> [Int] factors n = [x | x Bool" which returns "True" if the given "Int" is perfect, and "False" otherwise. Then use "isperfect" as a guard in a list comprehension to filter out all of the non-perfect integers (i.e., to keep only the perfect integers).
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