Question: Consider the following recursive algorithm. Algorithm Q(n) //Input: A positive integer n if n = 1 return 1 else return Q(n - 1) + 2

Consider the following recursive algorithm.

Algorithm Q(n) //Input: A positive integer n

if n = 1 return 1

else

return Q(n - 1) + 2 * n - 1

a. What is the basic operation of this algorithm?

b. Present the reccurence relation and the initial condition for the number of comparison made by the algorithm.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!

Q:

Consider the following recursive algorithm. ALGORITHM Q (m) //Input: A positive integer m if m=1 return 1 else return Q(m1)+2m1 a) Set up a recurrence relation for this function's values and solve it...

Q:

Consider the following recursive algorithm: ALGORITHM Q (n) //Input a positive integer n if n=1 return 1 else return Q(n1)+3n+1 a) Set up a recurrence relation for this function's values and solve it...

Q:

6. Consider the following recursive algorithm ALGORITHM Quandry (n) //Input: A positive integer n ifn=1 return 1 else return Quandry(n-1)2. -1 a. Define the recurrence relation for this function's...

Q:

4. Consider the following recursive algorithm: ALGORITHM Q (n) // Input: A positive integer n if n =1 return 1 else return Q(n-1) + 2n -1 a) Set up a recurrence relation for this functions values and...

Q:

Consider the following recursive algorithm: ALGORITHM Q (n) // Input: A positive integer n if n =1 return 1 else return Q(n-1) + 2n -1 b) Set up a recurrence relation for the number of...

Q:

Consider the following recursive algorithm: int f ( n ) / * n is a positive integer * / if ( n

Q:

Consider the following recursive algorithm: int f ( n ) / * n is a positive integer * / if ( n

Q:

Part IV: Recursive Algorithms (20 pt.) Given the following recursive algorithm: procedure foo(x, y) Input: x positive integer, y: integer Output?? if x=#1 then return y else return foo(x-1, y) + y 1....

Q:

Given the following recursive algorithm: procedure foo(x, y) Input: x: positive integer, y: integer Output: ??? if x==1 then return y else return foo(x-1, y) y 1. (4 pt., 2 pt. each) Trace algorithm...

Q:

Need help with answering this. Please show complete process thanks. Part IV: Recursive Algorithms (20 pt.) Given the following recursive algorithm: procedure foo(x, y) Input: x: positive integer, y:...

Q:

The Australian Public Service Commission's State of the Service Report 2002-2003 reported job satisfaction ratings for employees. One of the survey questions asked employees to choose the five most...

Q:

The Rover 6 is a new custom-designed sports car. An analysis of the task of building the Rover 6 reveals the following list of relevant activities, their immediate predecessors, and their duration:2...

Q:

Using a balloon to widen the wall of a blocked artery is referred to as

Q:

Compared with half a century ago, adoption has become _ _ _ _ _ _ _ _ _ common, but it is more open and acceptabl e , so we probably discuss it _ _ _ _ _ _ _ . fill in the blanks more or much less or...

Q:

What is the difference between Needs and GAP Analyses?

Q:

What are ERP suites? Are HCMSs part of ERPs?

Q:

An economy is operating with output $400 billion below its natural rate, and fiscal policymakers want to close this recessionary gap. The central bank agrees to adjust the money supply to hold the...