Write a Python program that will cast performers according to the following height chart:

Height Role

$74$ inches or taller $(62$ or taller$)$ Giant

$6873$ inches $(5861)$ Hogwarts teacher

$5867$ inches $(41057)$ Hogwarts student

$<58$ inches House elf

Ask the user for the performer's name and height in inches, and then write an if$...$elif...elif...else structure to assign that performer the correct role. Additionally, if a performer is assigned the role of Hogwarts student, randomly assign that student to one of the four Hogwarts houses: Gryffindor, Slytherin, Ravenclaw, or Hufflepuff.