A recursive algorithm has been developed as shown below:Input: List A = (a₁,..., an) such that N > 1Output: value xfoo(A)if length(A) == 1return a₁A' = (a₁,..., aN-1)q = foo(A')if (q> an)elsereturn qreturn anState what problem this algorithm solves and write down the two recurrenceequations that characterise this recursive algorithm.

A recursive algorithm is one that uses "smaller (or simpler)" input values to call itself and gets…

Answered: A recursive algorithm has been…

Computer Networking: A Top-Down Approach (7th Edition)

7th Edition

ISBN:9780133594140

Author:James Kurose, Keith Ross

Publisher:James Kurose, Keith Ross

Chapter1: Computer Networks And The Internet

Section: Chapter Questions

Problem R1RQ: What is the difference between a host and an end system? List several different types of end...

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Let recursive algorithm F be defined as follows: F(int n):if n=1 then return 1else return F(n-1)*n (a) i. Assuming x is a positive integer, what mathematical expression is returned by F(x)?ii. Repeat (i) but assume the line “return 1” is replaced by “return 0”? (b) Which of the following replacements for the last line will yield a function guaranteed to terminate for all valid inputs? i. return F(n-2)+2ii. return F( )*2iii. return F( )*2
## Format Requirement Algorithms in pseudo code **MUST** be placed in code blocks/fences, and use highlighter. Algorithms should follow the pseudo code standard described in *Pseudocode Handout*. срр as the syntax Do NOT change the template except the answer portion. Formulas and equations should be in math mode using Latex math symbols. - Markdown math tutorial: http://tug.ctan.org/info/undergradmath/undergradmat h.pdf Two ways to enter math mode: Insert a pair of dollar signs: \$your equations go here\$. This is the inline math mode. *Notice that there is no space between the \$ and the letter*. Insert a pair of double-dollar signs: \$\ $ your equations go here \$\$, which produces a standalone equation/formula set.
//write a recursion function that will find the largest interger in the string. Can you give me some feedback on this function public int findMax(String s,intmax) { if (s.length()== 0) return 1; for (int = 0 ; i > s.length() ;i++) if (s.charAt (i) > s.charAt(i) )) returnmax; returnmax;
write a MIPS recursive function to evaluate a postfix expression. using intermediate results. for example, given output "123 12 -" it would push the 2 numbers, then upon finding"-" pop 2 numbers do the subtraction push the result, upon find end of string , pop the result and return it.
Design and implement an algorithm using recursion and backtracking to sort an array of integers into ascending order. Consider the given array as input and produce a sorted array as output. Each time you take an integer from the input array, place it at the end of the output array. If the result is unsorted, backtrack.
Recursion efficiency in Julia can be improved using memorization technique to store the values of previously computed functions. The following Fibonacci function below does not employ memorization, please change into a recursive function with memorization: function fib(n) if n==1 return 1 elseif n==2 return 1 elseif n<=0 printstyled("Invalid input",color=:red) return else return fib(n-1)+fib(n-2) end end
Give a recursive algorithm which takes as input a sequence of numbers and returns the minimum (i.e., smallest) member in the sequence. Your algorithm should not use an iterative loop. FindMin (al, a2,..., an) If (length (alan) = 1), Return (_A_) m: FindMin (al an-1) // The recursive call If (an S m) Else End-if Return (_B__) Return (_C_)
The n-th harmonic is the sum of the reciprocals of the first n natural numbers given by: 17 1.1 1 1 H₁ =Σ =1+=+=+ - 2 3 4 k=1 k +. + n (i) Write a recursive algorithm of this function returning, H, with nε N. (ii) Give a recurrence relation for the number of divisions the recursive algorithm calculates for an input n & N. iii) Solve the recurrence relation and give the O(n) of the algorithm.
Using 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.
Given the recursive function definition:s(n) = 5 + n * s(n-1) + s(n-2) s(0) = 1 s(1) = 3Question: Evaluate: s(3)
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Consider the following recursive algorithm, where // denotes integer division: 3//2 = 1, 5//2 = 2, etc. F(n):if n <= 1: returnF(n//2)for i from 0 to n for j from 0 to n//2 print(i+j) Let function T(n) denote the running time of this algorithm. Derive T(n) and prove its worst case timecomplexity

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