Assignment
1) Using any programming language of your choice implement the Extended Euclidean algorithm. Note that your submission is expected to run on IRIS. Please ensure that you use a programming language that is compatible with IRIS and also ensure the program can run on IRIS before submitting it.
2) Specifications: The program should take two inputs 1) An integer a, which is the modulus 2) A non-negative integer b that is less than a. The program should output three values 1) gcd(a,b) 2) Integer x and 3) Integer y, such that ax + by = gcd(a,b)
Test 1
1) Run your program with a = 1759 b = 550
2) What are your outputs?
3) What is the modular multiplicative inverse of 550 mod 1759?
Test 2
1) Run your program with a = 43 b = 17
2) What are your outputs?
3) What is the modular multiplicative inverse of 17 mod 43? Note that the modular multiplicative inverse has to be non-negative and less than 43.
Test 3
1) Run your program with a = 400 b = 10 2) What are your outputs?
3) What is the modular multiplicative inverse of 10 mod 400? Be mindful of the gcd value to answer this question
Format your assignment according to the following formatting requirements:
1. The answer should be typed, double spaced, using Times New Roman font (size 12), with one-inch margins on all sides.
2. The response also includes a cover page containing the title of the assignment, the student's name, the course title, and the date. The cover page is not included in the required page length.
3. Also include a reference page. The Citations and references should follow APA format. The reference page is not included in the required page length.