Write an iterative function that determines the number of even elements in an array a of integers of size n. The function should return the number of elements that are even in array a of size n. Propose an appropriate prototype for your function and then write its code. Write a recursive function to solve the above problem. Propose an appropriate prototype for your function and then write its code.
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Write an iterative function that determines the number of even elements in an array a of integers of size n. The function should return the number of elements that are even in array a of size n. Propose an appropriate prototype for your function and then write its code.
Write a recursive function to solve the above problem. Propose an appropriate prototype for your function and then write its code.
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- Write a recursive function myfactorial (n) for computing the factorial of a non-negative integer. (Hint: think about adapting the examples myfunction and anotherfunction in Chapter 1.) If an input other than a non-negative integer is entered into your function myfactorial, the process will never halt. Create a new function safefactorial which behaves identically to myfactorial on non-negative integers, but raises a ValueError when other values are entered. Use safefactorial to write a function mybinom (n,r) that re- turns the binomial coefficient ("). Use mybinom (n,r) to write a function hockeystick (n,r) that n H(n,r) = [ (c.). i=r computes H(n,r)Question 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 16Write a function decimal_to_binary(decimal_number) that takes in a non-negative integer and returns it in binary as an integer representation. Solve this problem using recursion. Use a helper function (with extra parameters) to handle the recursion.
- Write a recursive function called draw_triangle() that outputs lines of '*' to form a right side up isosceles triangle. Function draw_triangle() has one parameter, an integer representing the base length of the triangle. Assume the base length is always odd and less than 20. Output 9 spaces before the first '*' on the first line for correct formatting. Hint: The number of '*' increases by 2 for every line drawn. Ex: If the input of the program is: 3 the function draw_triangle() outputs: * *** Ex: If the input of the program is: 19 the function draw_triangle() outputs: * *** ***** ******* ********* *********** ************* *************** ***************** ******************* Note: No space is output before the first '*' on the last line when the base length is 19. if __name__ == '__main__': base_length = int(input()) draw_triangle(base_length)1. Below, enter code to complete implementation of a recursive function sum allintegers(), which takes an input n and adds all integers preceding it, up to n: add all integers(n):Please can be handwritten. Question 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
- Write a function which takes two integer parameters for values to be added together and returns the result by value. The function may not print anything or read anything directly from the user (i.e. no cin/cout in the function). Assume that the values passed to the function will not be negative, but could be 0 or positive, and will both be integers. The function must implement addition recursively, and cannot use the standalone + operator (only ++) or call any other functions.Consider the following code for a recursive function namedrf. You’ve been tasked with understanding why this recursive functioncauses an error. You haven’t been told what it does, but it seems to causea fault when you run rf(2). Draw out the recursive calls for rf(2) for afew steps to the best of your ability (like we’ve seen with factorial andFibonacci). What specific problem does this recursive call rf(2) have? i n t r f ( i n t number ){i f ( number == 1 ) r e t u r n 1 ;e l s e r e t u r n r f ( r f ( number − 1 ) − r f ( number − 1 ) ) ;}Write a function decimal_to_binary(decimal_number) that takes in a non-negative integer and returns it in binary as an integer representation. Solve this problem using recursion. Use a helper function (with extra parameters) to handle the recursion. Examples decimal_to_binary(7) should return 111 decimal_to_binary(128) should return 10000000 decimal_to_binary(5) should return 101 Make sure your function signature matches the given function decimal_to_binary(decimal_number) because I will be using unit tests to evaluate your code. Return an integer representing the binary number from the function, not a string representation. Python
- Write a recursive function that takes as a parameter a nonnegative integer and generates the following pattern of stars. If the nonnegative integer is 4, then the pattern generated is:********************Also, write a program that prompts the user to enter the number of lines in the pattern and uses the recursive function to generate the pattern. For example, specifying 4 as the number of lines generates the above pattern.Write a recursive function that takes as a parameter a nonnegative integer and generates the following pattern of stars. If the nonnegative integer is 4, the pattern generated is as follows: **** *** ** * * ** *** **** Also, write a program that prompts the user to enter the number of lines in the pattern and uses the recursive function to generate the pattern. For example, specifying 4 as the number of lines generates the preceding pattern.Given two integers x snf y, the following recurrsive definition determined the greatest common divisor of x and y, Write gcd(xy). Write a recursive function, gcd, that takes two integers as parameters and returns the greatest commmon divisorof numbers.Also write a program to test your function. Write a recursive function,reverseDigits, that takes an integer as a parameter snd returns the number with the digits reversed. Also write a program to test your application.