
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Write the pseudocode for a recursive
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- Write a recursive program that takes a positive integer as an input and returns the sum of the digits of the integer. (Example: If the input is 45678, then output will be 30.)arrow_forwardWrite a recursive method that returns the value of N! (N factorial) using the definition given in this chapter. Explain why you would not normally use recursion to solve this problem.arrow_forwardWrite a program in Python that converts Euclid’s algorithm to find the greatest common divisor (GCD) of two positive integers to a recursive function named gcd.arrow_forward
- The Tower of Hanoi is a puzzle where n disks of different sizes arestacked in ascending order on one rod and there are two other rods with nodisks on them. The objective is to move all disks from the first rod to thethird, such that:- only one disk is moved at a time- a larger disk can never be placed on top of a smaller oneWrite a recursive function that outputs the sequence of steps needed tosolve the puzzle with n disks.Write a test program in C++ that allows the user to input number of disks andthen uses your function to output the steps needed to solve the puzzle.Hint: If you could move up n−1 of the disks from the first post to thethird post using the second post as a spare, the last disk could be moved fromthe first post to the second post. Then by using the same technique you canmove the n−1 disks from the third post to the second post, using the firstdisk as a spare. There! You have the puzzle solved. You only have to decidewhat the nonrecursive case is, what the recursive…arrow_forwardWrite java program recursive method to display all odd numbers from the given number to 1 .arrow_forwardWrite a recursive form of the following: 0! = 1 n! = n * (n - 1)!arrow_forward
- Devise a recursive algorithm for finding n! mod m where n and m are positive integers.arrow_forwardSolve the recursion by substitution: T(n) = 3T(n/2)+ 5n where T(1)=1arrow_forwardUsing recursion, write a Java program that takes an input ‘n’ (a number) from a user to calculate and print out the Fibonacci using the following modified definition: F(N) = 1 if n = 1 or n = 2 = F((n+1)/2)2 + F((n-1/2)2 if n is odd = F(n/2 + 1)2 – F(n/2 – 1)2 if n is even Your solution must implement recursion to receive points for this question.arrow_forward
- Finish the splitOdd10 using recursion to determine if the elements of an array can be split into two groups such that the sum of one group is a non-zero multiple of 10 and the sum of the other group is oddarrow_forwardUse Master Therom to determine the complexity of the following:arrow_forwardSuppose a recursive function f(n+1)=f(n)+3 and f(3)=10. What is the value of f(5)arrow_forward
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