Write a function called is_palindrome_ignoring_spaces(string) that takes a string (with spaces) as input and returns True if that string (ignoring spaces) is a palindrome. A palindrome is a word or phrase that spells the same thing forwards as backwards (ignoring spaces). Your program should use a recursive process to determine the result, by comparing the first and last letters of the string, and if necessary, calling is_palindrome_ignoring_spaces() on the rest of the string.
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- Create a recursive function that multiplies two positive integers without the need of the * (or /) operator. You can utilise addition, subtraction, and bit shifting, but you should keep the amount of operations to a minimum.Please write the answer readable write the Explicit and Recursive function for the sequence(plz use f and f(x)) -7, 1, 13, 29, 49Question 2: Implementing a Recursive Function .Write recursive function, recursionprob(n), which takes a positive number as its argument and returns the output as shown below. The solution should clearly write the steps as shown in an example in slide number 59 and slide number 60 in lecture slides. After writing the steps, trace the function for “recursiveprob(5)” as shown in an example slide number 61. Function Output: >> recursionprob(1) 1 >> recursionprob(2) 1 4 >> recursionprob(3) 1 4 9 >>recrusionprob(4) 1 4 9 16
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- In c++ please with clear indentation thank you so much Write the simplest program that will demonstrate iteration vs recursion using the following guidelines - Write two primary helper functions - one iterative (IsArrayPrimeIter) and one recursive (IsArrayPrimeRecur) - each of which Takes an array of integers and its size as input params and returns a bool such that 'true' ==> all elements of the array are prime, so the array is prime, 'false' ==> at least one element in array is not prime, so array is not prime. Print out a message "Entering <function_name>" as the first executed statement of each function. Perform the code to test whether every element of the array is a Prime number. Print out a message "Leaving <function_name>" as the last executed statement before returning from the function. Remember - there will be nested loops for the iterative function and there can be no loops at all in the recursive function. For the recursive function - define one…Q:1 a) Can a predefined function be recursively called by the programmer? Elaborate. b) Write a program in C to take input for an integer.If the given integer is prime then display the product of its digits otherwise check whether it is even or odd.Use minimum three functions including main function.C/C++ & MIPS The function ?add(?,?) for two positive integers 0≤?, and 0≤?, is defined as the following:?add(?,0)=?; ?add(?,?)=?add(?,?−1)Write a recursive version of ?add() in C or C++, then use this program to develop a MIPSprogram that gets as input two integers 0<? ≤255, and 0<? ≤255, and returns theresult of ?add(?,?) in $v1.Your deliverable should be the C/C++ code and the MIPS assembly function-code