Using the following header, create a recursive function that shows an integer value backwards on the console using the syntax: reverseDisplay(value) is defined as follows: For example, the reverseDisplay(12345) function shows the number 54321. Create a test application that asks the user to input a number and then shows the inverse of that integer.

Inside this module, import random and blackout_utils, and define the following global variable, which you should use whenever appropriate: OPERATIONS = ['^', 'x', '/', '+', '-']For full marks, all the following functions must be part of this module: calculate(tokens): Takes one list of tokens as input corresponding to a mathematical equation. The function will evaluate both sides of the equality and return a list of three tokens: the result of the left-hand side (integer), the equals sign (string), and the result of the right-hand side (integer). The equation may contain any of the operations in the OPERATIONS list, as well as opening and closing parentheses. Your function should evaluate both sides of the equation while respecting order of operations (that is, parentheses, followed by exponentiation, then multiplication and division, and then addition and subtraction). Equations may have multiple sets of parentheses and nested parentheses. The contents of the inner-most nested…

2. Write an application that plays the game of Fermi. Generate three distinctrandom digits between 0 and 9. These digits are assigned to positions 1, 2,and 3. The goal of the game is for the player to guess the digits in threepositions correctly in the least number of tries. For each guess, the playerprovides three digits for positions 1, 2, and 3. The program replies with ahint consisting of Fermi, Pico, or Nano. If the digit guessed for a givenposition is correct, then the reply is Fermi. If the digit guessed for a givenposition is in a different position, the reply is Pico. If the digit guessed for agiven position does not match any of the three digits, then the reply is Nano.Here are sample replies for the three secret digits 6, 5, and 8 at positions 1,2, and 3, respectively:Guess Hint Explanation1 2 5 Nano Nano Pico The value 5 matches butat the wrong position.8 5 3 Pico Fermi Nano The value 5 matches atthe correct position. Thevalue 8 matches but atthe wrong position.5 8 6 Pico…

In C++ write a program that generates three random numbers and then find the min number among the generated values, using these three functions: void getrandnum(int &n1, int &n2, int &n3), int  findMin(int n1, int n2, int n3), and void printResult(int n1, int n2, int n3, int min). Make the main function drive all these functions.