b) Any program that can be written recursively can also be written iteratively. Based on the given example in Table 1, explain the difference between recursion and iterative approach according to the following characteristics: size of coding, termination and infinite repetition.
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- Recursion in programming is described as when a function/method makes a direct or indirect call to itself. Which of the features is not valid for a recursive function. Select one: a. The Recursive calls can be more then one b. The Recursive Call – the function calls itself with an input which is a step closer to the stop condition c. The Stoping Conditions can be more than one d. The Recursive call is optional. e. A Stop Condition – the function returns a value when a certain condition is satisfied, without a further recursive callRecursive Syntax The recursive structure i.e of natural language like English can be expressed in syntax rules written in the format known as BNF (Bachus-Naur Form). While BNF is ordinarily used as a guide for parsing (that is, determining whether and how a given string follows the syntax rules), An example of this can be found in the sample program SimpleRandomSentences. You should write a similar program that implements the following rules:<sentence> ::= <simple_sentence> [ <conjunction> <sentence> ]<simple_sentence> ::= <noun_phrase> <verb_phrase><noun_phrase> ::= <proper_noun> |<determiner> [ <adjective> ]. <common_noun> [ who <verb_phrase> ]<verb_phrase> ::= <intransitive_verb> |<transitive_verb> <noun_phrase> |is <adjective> |believes that <simple_sentence><conjunction> ::= and | or | but | because<proper_noun> ::= Fred | Jane | Richard Nixon | Miss…Please explanation this recursive function Each and every statement
- Part 2: Recursive Fractals Examine this pattern of asterisks and blanks, and write a recursive function called pattern() that can generate patterns such as this: pattern(3, 2); pattern(5, 1); pattern(7, 0); With recursive thinking, the function needs only about 10 lines of code (including two recursive calls). Your function prototype should look like this: // Description: I/ The longest line of the pattern has n stars beginning in column col of the output. // Precondition: n is an positive odd number. // Postcondition: A pattern based on the above example has been printed. void pattern (int n, int col); No error handling needed for this part. Assume that user will provide you a positive odd int as n, and a non-negative int as col. Hint: Think about how the pattern is a fractal. Can you find two smaller versions of the pattern within the large pattern? Here is some code that may be helpful within your function: // A loop to print exactly col columns for (int i = 0; i < col; i++) cout <«…Recursive Parsing Calculator HINT: Before attempting this exercise, see the simplerecursiveparser.java in the example programs of the recursion unit on QM+ and the related booklet about Language, grammars and recursion that explains it. Write a program that recursively parses expressions, input as strings, from the following recursively defined language and calculates and prints out the answer to the calculations. Legal expressions in this language involve putting the operator before its arguments (this is called Polish notation). = * | T = 0|1|2|3|4|5|6|7|8|9|A|B|C Instead of writing 3*2, in this language you write *32 (which evaluates to 6). EXP stands for expressions. means multiply the two digits that follow (after evaluation) so *24 is 8 and *5*34 is 60 as it first multiples 3 and 4 to get answer 12 then multiplies 5 and 12 to get 60. Tn means add the next 3 numbers from n (so eg T3 means 3+4+5=12, T7 means 7+8+9-24), DIGIT gives a way to express numbers up to 12 as a sıngle…QUESTION 9 There are several rules to keep in mind when writing a recursive function. Select all of them from the following list. of al Tust A. The recursive function may not call any other function or method. B. The value of all arguments passed to the recursive function must change for every recursive call. C. The recursive method must cal the main function in order to begin. D.There must be a clearly stated base case. CE. The function must contain a break statement to end the recursion. OF. The recursive function may not include a return statement. G. Recursive calls to the function must converge on the base case. is called. H.One or more arguments passed to the function must change in value each time the function i
- QUESTION 9 There are several rules to keep in mind when writing a recursive function. Select all of them from the following list. Lun A. The recursive function may not call any other function or method. B. The value of all arguments passed to the recursive function must change for every recursive calL OC. The recursive method must call tie main function in order to begin. D. There must be a clearly stated base case. CE. The function must contain a break statement to end the recursion. OF. The recursive function may not include a return statement. OG. Recursive calls to the function must converge on the base case. H. One or mare arguments passed to the function must change in value each time the function is called.c programming Task 3: Complete armstrong_task3.c by implementing armstrong_recursive function. int armstrong_recursive (int arm); It performs same operation as in Task 1, however in a recursive manner. A number to be checked whether it is armstrong or not is given as an input and the function returns the summation of the digits. If the returned value is equal to the given input value then it is an armstrong number.a) Write down a tail recursive implementation of the function sum in python language or programming language of your choice. You may use the helper function in your solution. b) Write down a tail recursive implementation of the function factorial in pythonlanguage or programming language of your choice. You may use the helper function in yoursolution.
- What is the percentage overhead associated with the execution of a recursive function in terms of memory space and computer time?6Recursion 8, 21, 34, 55, 89 ... ]: The Fibonacci sequence is the series of integers 0, 1, 1, 2, 3, 5, See the pattern? Each element in the series is the sum of the preceding two items. There is a recursive formula for calculating the nh number of the sequence (the 0th number if Fib(0) = 0): N, if N =0 or 1 Fib(N) = %3D Fib(N- 2) +Fib(N -1) if N>1 1. Write a recursive version of the function Fibonacci. 2. Write a non-recursive version of the function Fibonacci. 3. Compare the recursive and iterative versions for efficiency. 4. Can you think of a way to make the recursive version more efficient? If so, discuss your solution in detail.What is the overhead involved in the execution of a recursive function, both in terms of the amount of memory space and the amount of time taken by the computer?