Write a grammar for the language consisting of strings that have n copies of the letter a followed by one more number of copies of the letter b, where n > 0. for example, the strings abb, , and are in the language but a, ab, ba, and aaabb are not.

Jaina and tomas are being considered as new tenants in an apartment. the landlord looks at their creditworthiness because he wants to be sure his new tenant pays the rent on time and in full. the table below summarizes the information that was on their applications. application information questions jaina tomas how many years have you had your job? 5 2 what is your monthly salary? $1,850 $2,500 how many credit cards do you have? 4 1 how much debt do you have? $13,000 $7,000 how many times were you late with payments on credit cards in the past year? 5 1 who will the landlord decide to be more creditworthy and why? tomas because the ratio of his debt to income is less. jaina because she has had her job longer, which makes her look more stable. jaina because she has more credit cards available to her. tomas because he makes more money per month.

Write a defining table and then a program that determines if you can sleep in or not. your program should get all its input from your computer’s clock. on all weekdays (monday through friday) that are not holidays, your program should output “get up! ” on all other days (weekends and holidays), your program should output “sleep in.” the three holidays that your program must check for are january 1 (new year’s day), july 4 (u.s. independence day), and december 25 (christmas). you don’t need to include other holidays in your program because most other holidays do not occur on a fixed day each year.

Write a program that keeps asking the user for new values to be added to a list until the user enters 'exit' ('exit' should not be added to the list). these values entered by the user are added to a list we call 'initial_list'. then write a function that takes this initial_list as input and returns another list with 3 copies of every value in the initial_list. finally, inside print out all of the values in the new list. for example: input: enter value to be added to list: a enter value to be added to list: b enter value to be added to list: c enter value to be added to list: exit output: a b c a b c a b c note how 'exit' is not added to the list. also, your program needs to be able to handle any variation of 'exit' such as 'exit', 'exit' etc. and treat them all as 'exit'.