Question: Consider the following algorithm: Algorithm S(n) //Input: A positive integer n //Output: The sum of the first n cubes if n=1 return 1 else return

Consider the following algorithm: Algorithm S(n) //Input: A positive integer n

Consider the following algorithm: Algorithm S(n) //Input: A positive integer n //Output: The sum of the first n cubes if n=1 return 1 else return S(n 1) +n*n*n Part a: What is the basic operation? Give a brief justification of your answer. Part b: Give the recurrence relation that quantifies the number of times this operation occurs for an input size of n

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!

Recurrence Relation - NO CODE IN ANSWER Consider the following algorithm: Algorithm S (n) Input: A positive integer n Output: The sum of the first n cubes if (n = 1) return 1 else return [S(n - 1) +...

Consider the following algorithm: int f ( n ) / * n is a positive integer and n is a power of two * / if ( n = 1 ) return n int x = f ( n / 2 ) for int i = 1 to n / 2 do x = x + ( i * i ) / * loop...

ASAP please. Thanks 4) Consider the following algorithm: (25 points) - S(n) - I/Input: A positive integer n - //Output: The sum of the first n cubes - If n=1 return 1 - Else return S(n1)+n5 a. Which...

(4 pts) Consider the following algorithm: ALGORITHM Foo (n) //Input: A positive integer n if n=1 return 1 else return Foo(n1)+2n1 (a) Set up a recurrence for what Foo computes. (b) Set up a...

Consider the following algorithm: int f ( n ) / * n is a positive integer * / if ( n = 5 ) return n if ( n is even ) return f ( n - 3 ) + f ( n - 2 ) else return f ( n - 4 ) + f ( n - 1 ) Trace the...

Consider the following algorithm: int f(n) In is a positive integer and n is a power of two */ if (n==1) return n int sum =n int m=n for i=1 to log2n do \{ m=m/2 sum = sum +f(m) \} return sum Trace...

1) Consider the following algorithm. // Assume that n is a positive integer (= i.e. n > 1), and A[1..n] is a global array . // Note that the index of array A starts from one, not zero. // And also,...

Consider the following divide-and-conquer algorithm: Algorithm DCSum( n ) //Input: A positive integer n //Output: ? if n == 1 return n else do half = (int)( n/2) ; return DCSum( half ) + DCSum( n -...

Consider the following algorithm: Algorithm Sum( m , n ) //Input: Two positive integers m and n where m n //Output: ? sum = 0 for i=m to n do for j =1 to i do sum = sum + 8 end for j end for i return...

This Questions in design and analyze of algorithms Exercise 1 (10 Points) Use the informal definitions of 0, and to determine whether the following assertions are true or false. a. n(n 1)/2 E O(n) c....

What examples have you seen of the ways sport marketing has changed in the last five years? What examples have you seen of how sport marketing has helped or hurt an organization?

Show that a BCD ripple counter can be constructed using a fourbit binary ripple counter with asynchronous clear and a NAND gate that detects the occurrence of count 1010.

Why would financial planners recommend their clients purchase natural resources for their investment portfolios? Diversification Low degree of risk Positive correlation with other financial assets...

Park Co. is considering an investment that requires immediate payment of $31,500 and provides expected cash inflows of $13,400 annually for four years. What is the investment's payback period?

=+ 5. The company that you manage has invested $5 million in developing a new product, but the development is not quite finished. At a

=+putting it away for a year in a bank account that pays 5 percent interest. What is the opportunity cost of spending the $100 now?

=+ e. a recent college graduate deciding whether to go to graduate school