Write a method that uses a divide-and-conquer strategy to find the maximum value in an integer array. The maximum value of a one-element array is that element. The maximum of any other array is the maximum of the left half, or the maximum of the right half, whichever is larger. How many balls are in this pyramid?
Each level in the pyramid is a square, so if there are n levels, the bottom level has n * n balls, and the total number of balls is just
(n * n) + (number of balls in a pyramid of height n - 1).
There is just one ball in a pyramid of height 1. Write a static recursive method getPyramidCount that takes a single int argument representing the number of levels in a pyramid, and returns the total number of balls.

We as humans write math expression in infix notation, e.g. 5 + 2 (the operators are written in-between the operands). in a computer’s language, however, it is preferred to have the operators on the right side of the operands, i.e. 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: 1guidelines: 1. you will need to use stacks in three placesa. one for the parenthesis check [char stack]b. one during infix to postfix [char stack]c. one during evaluation [int stack]for a and b above, you can use same array and same push, pop method as both ofthem are char. but for evaluation you have int stack and you might consider to createanother push pop method to handle it. maybe push_int, pop_int, etc. or find otherstrategy to utilize existing push pop method2. you can create a function for obtaining operator priority. that function should take anoperator as input and return its priority as an integer. this function will you a lot andreduce repeated code3. during evaluation you will need to convert char into integer. example for single digit: char c = '5'; int x = c - '0';

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.

Anul 2017 tocmai s-a încheiat, suntem trişti deoarece era număr prim, însă avem şi o veste bună, anul 2018 este produs de două numere prime, 2 şi 1009. dorel, un adevărat colecţionar de numere prime, şi-a pus întrebarea: “câte numere dintr-un interval [a,b] se pot scrie ca produs de două numere prime? “.