Design an algorithm that determines the length of an array A. The only thing the algorithm can do to the array is attempt to obtain the value that is stored at a non-negative index i. Either the attempt will succeed, or it will result in an exception. Your algorithm must be O(log n), where n is the (unknown) length of A. There will be two distinct phases in your algorithm. In two or three succinct sentences, explain the key ideas behind the first phase.

Write a program called assignment3 (saved in a file assignment3.java) that computes the greatest common divisor of two given integers. one of the oldest numerical algorithms was described by the greek mathematician, euclid, in 300 b. c. it is a simple but very e↵ective algorithm that computes the greatest common divisor of two given integers. for instance, given integers 24 and 18, the greatest common divisor is 6, because 6 is the largest integer that divides evenly into both 24 and 18. we will denote the greatest common divisor of x and y as gcd(x, y). the algorithm is based on the clever idea that the gcd(x, y) = gcd(x ! y, y) if x > = y and gcd(x, y) = gcd(x, y ! x) if x < y. the algorithm consists of a series of steps (loop iterations) where the “larger” integer is replaced by the di↵erence of the larger and smaller integer. this continues until the two values are equal. that is then the gcd.

For this assignment you have to write a c program that will take an infix expression as input and display the postfix expression of the input. after converting to the postfix expression, the program should evaluate the expression from the postfix and display the result. what should you submit? write all the code in a single file and upload the .c file. compliance with rules: ucf golden rules apply towards this assignment and submission. assignment rules mentioned in syllabus, are also applied in this submission. the ta and instructor can call any students for explaining any part of the code in order to better assess your authorship and for further clarification if needed. problem: we as humans write math expression in infix notation, e. g. 5 + 2 (the operators are written in-between the operands). in computer's language, however, it is preferred to have the operators on the right side of the operands, ie. 5 2 +. for more complex expressions that include parenthesis and multiple operators, a compiler has to convert the expression into postfix first and then evaluate the resulting postfix write a program that takes an "infix" expression as input, uses stacks to convert it into postfix expression, and finally evaluates it. it must support the following operations: + - / * ^ % ( example infix expression: (7-3)/(2+2) postfix expression: 7 3 2 2 result: rubric: 1) if code does not compile in eustis server: 0. 2) checking the balance of the parenthesis: 2 points 3) incorrect postfix expression per test case: -2 points 4) correct postfix but incorrect evaluation per test case: -i points 5) handling single digit inputs: maximum 11 points 6) handling two-digit inputs: 100 percent (if pass all test cases)

1)consider the following code snippet: #ifndef book_h#define book_hconst double max_cost = 1000.0; class book{public: book(); book(double new_cost); void set_cost(double new_cost); double get_cost() const; private: double cost; }; double calculate_terms(book bk); #endifwhich of the following is correct? a)the header file is correct as given. b)the definition of max_cost should be removed since header files should not contain constants. c)the definition of book should be removed since header files should not contain class definitions. d)the body of the calculate_terms function should be added to the header file.