LENGTH, WRITESTR, READSTR and CONCAT
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Rewrite each of the functions LENGTH, WRITESTR, READSTR and CONCAT so that they operate iteratively without using recursion.
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- write each of the functions LENGTH, WRITESTR, READSTR and CONCAT so that they operate iteratively without using recursion.Write a function that outputs a string passed into the function in reverse. Use recursion to achieve this.Write a recursive function PrintPattern1 to print pattern that takes two integer arguments n and k. n is the starting number while k is the ending limit.
- 1. Given, nCr= n! (n-r)!r!" Write a function to compute nCr without recursion.Write a recursive function that takes a list of numbers as an input and returns the product of all the numbers in the list.Analyse the running time of the algorithmIterative FactorialWrite an iterative version (using a loop instead of recursion) of the factorial functionshown in this chapter. Test it with a driver program.
- An arithmetic sequence starts 2, 5, . . . Write a recursive definition for this sequence using function notation.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.Exercise 1: The number of combinations CR represents the number of subsets of cardi- nal p of a set of cardinal n. It is defined by C = 1 if p = 0 or if p = n, and by C = C+ C in the general case. An interesting property to nxC calculate the combinations is: C : Write the recursive function to solve this problem.
- Write recursive functions for the following equations:a. Harmonic number is defined by the equationb. Fibonacci numbers are defined by the formula:FN = FN-2 + FN-1, for N ≥ 2 with F0 = 0 and F1 = 1Write a recursive function called Rev takes a string argument (str) and and integerargument(i – the initial string position). Rev prints the str in reverse. You may not useany built-in reverse function or method. You may use string’s length method.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.