a) Write a function that collects integers from the user until a 0 is encountere

Question

a) Write a function that collects integers from the user until a 0 is encountered and returns them in a list in the order they were input (ML only).

B) Use the functions you wrote for exercises (b) and (c) to write a program to input a 0-ended list of integers, print the list in the order entered, and print the maximum and minimum of the list. For this exercise, use only ML.

C)Write Quicksort for a list of integers (ML only).

D) A Pythagorean triple is a tuple of integers (x, y, z) such that x * x + y * y = z * z. Write a function with a parameter n to print all Pythagorean triples such that 1 ? x ? y ? z ? n.

E) Write a higher-order function twice that takes as a parameter a function of one argument and returns a function that represents the application of that function to its argument twice. Given the usual definition of the square function, what function is (twice (twice square))?

Explanation / Answer

This function utilizes the minmax and the zerodelim functions from exercises (b) and (c). In this implementation, function composition is used such that (g ? f) (x) or in this case (minmax ? zerodelim) (x).

c)

According to the NIST definition of quicksort

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