You are an usher in a theater with n balconies for a children’s matinee performance with n children in attendance. you are given a list of m statements of the form "i hates j." if i hates j, then you do not want to seat i above or in the same balcony as j, otherwise i will throw popcorn at j instead of watching the play. give an algorithm that assigns balconies to children (or determines that no feasible assignment exists) in time o(m + n). we can assume that balconies are numbered ascending with height.（when you are asked to ‘give’ an algorithm, be sure to prove that it is correct and exhibits the desired running time!

Write a program that has a conversation with the user. the program must ask for both strings and numbers as input. the program must ask for at least 4 different inputs from the user. the program must reuse at least 3 inputs in what it displays on the screen. the program must perform some form of arithmetic operation on the numbers the user inputs. turn in your .py file as well as a screenshot of your program's output. include comments in your code to explain how it works an example program run might look like (have fun with this and be creative): ‘what is your name? ’ “josh” ‘, josh. what is your favorite color? ’ “green” ‘mine too. do you also like ice cream? ’ “no” ‘josh, how old are you? ’ “40” ‘ and how many siblings do you have? ’’ “3” ‘that means you are one of 4 kid(s). is green the favorite color of anyone else in your house? ’