(1 point) The Miller-Rabin primality test is based around the following observation. If p is prime and x² = 1 mod p then x = ±1 mod p. Note that x = -1 mod p and x = p-1 mod p mean the same thing. We will use the Miller-Rabin test to test n = = 2353 for primality. To do this we will closely examine an-1 mod n for various integers a. First we divide out all of the 2's from n ― 1. We can write n u = is maximal, and r = 12 where Now we randomly select some a Є Zn, such as a = 1441. Initially we compute ar = mod n. If this number is 1 then the test is inconclusive and another a is selected (up until the number of a's determined by the security level). 2r 4r Otherwise we compute the list of values a²™, a², ..., a²², ..., a²r. Note a²ur Please enter this list for n = = 2353 and a = 1441 in comma separated format. When the list is computed one of a few things could happen. 1) The value 1 never occurs on the list. 2) The value -1 = p-1 mod p occurs on the list, immediately followed by 1. 3) The value 1 occurs in the list, but *not* preceded by -1. Which one of these possibilities holds in our case (enter the number)? What conclusion should we draw from what we have done? 1) n is prime. 2) n is composite. 3) The test is inconclusive.

Outline the box model.

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C) Which employees earn less salary than the average salary for the consultants who perform the same job? Show the employees first and last names, job id, salary, department name, and manager's last name. Sort the result by the employees’ employee id. D) For each department, find the manager who pays out the most in salaries. Show the department number, the manager's last name, and the total she/he pays each month. Sort by the department number. Here are the tables and the columns within the table Here are the tables and the columns within the table CONSULTANTS - CONSULTANT_ID- FIRST_NAME- LAST_NAME- EMAIL- PHONE_NUMBER- HIRE_DATE- JOB_ID- SALARY- COMMISSION_PCT- MANAGER_ID- DEPARTMENT_ID . COUNTRIES - COUNTRY_ID- COUNTRY_NAME-REGION_ID . CUSTOMERS - CUST_IDCUST_EMAILCUST_FNAMECUST_LNAMECUST_ADDRESSCUST_CITYCUST_STATE_PROVINCECUST_POSTAL_CODECUST_COUNTRYCUST_PHONECUST_CREDIT_LIMIT . DEPARTMENTS - DEPARTMENT_IDDEPARTMENT_NAMEMANAGER_IDLOCATION_ID . EMPLOYEES -…