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How do you write these functions in python? is_pronic - This predicate function accepts an integer argument and returns True if the argument is a

How do you write these functions in python?

is_pronic - This predicate function accepts an integer argument and returns True if the argument is a pronic number and False otherwise. The function should check to see if the product of any two consecutive integers between 1 and a max value equals the argument. The max value checked should be the ceiling of the square root of the argument (any consecutive pair past that max value will be greater than the argument and therefore need not be checked). Use the math.ceil and math.sqrt functions.

is_perfect - This predicate function accepts an integer argument and returns True if the argument is a perfect number and False otherwise. The function should check to see if the sum of add up all integer divisors of the argument, except itself, equals the argument.

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