given a recursive alogrithmn for computing 2^n , n greater than or equal to zero integer,...
given a recursive alogrithmn for computing 2^n , n greater than or equal to zero integer, based on the formula 2^n = 2^n-1 Set up a recurrence relation for the number of additions made by the alogrithmn, and then solve it,
Homework Answers
recurrence relation: ---------------------- T(n) = T(n-1) + 1 and T(1) = 1 solving recurrence relation: ------------------------------ T(n) = T(n-1) + 1 = T(n-2) + 1 + 1 = T(n-3) + 1 + 1 + 1 = T(2) + ... + 1 + 1 + 1 = T(1) + 1 + ... + 1 + 1 + 1 = 1 + 1 + ... + 1 + 1 + 1 (n terms) = n so, T(n) = n
Add Answer to:
given a recursive alogrithmn for computing 2^n , n greater than
or equal to zero integer,...
Consider the following recursive algorithm for computing the sum of the first n cubes: S(n) =...
Consider the following recursive algorithm for computing the sum
of the first n cubes: S(n) = 13 +
23 + … + n3.
(a) Set up a recurrence relation for the number of
multiplications made by this algorithm.
(b) Provide an initial condition for the
recurrence relation you develop at the question (a).
(c) Solve the recurrence relation of the
question (a) and present the time complexity as described at the
question number 1.
Algorithm S n) Input: A positive...
ALGORITHM RecS(n) // Input: A nonnegative integer n ifn=0 return 0 else return RecS(n+ n n...
ALGORITHM RecS(n) // Input: A nonnegative integer n ifn=0 return 0 else return RecS(n+ n n n Determine what this algorithm computes. You must justify your answer. made by this algorithm and solve it. You must justify your answer. same thing using for/while loop(s) developed in (3). You must justify your answer. 1) 2) Set up the initial condition and recurrence relation for the number of multiplications 3) Write the pseudocode for the non-recursive version of this algorithm, i.e., compute...
Solve the recurrence relation: a subn = 5a subn-1 - 6 a subn-2 n is greater...
Solve the recurrence relation: a subn = 5a subn-1 - 6 a subn-2 n is greater than or equal to 2 given: ao = 1, a1 = 0
In Python 3 (2.5 pts] Write the recursive function thirtyTwos(n) that takes an integer greater or...
In Python 3
(2.5 pts] Write the recursive function thirtyTwos(n) that takes an integer greater or equal to 0 and returns an integer that represents the number of times that a 2 directly follows a 3 in the digits of n. Hint: The % and // operations from sumDigits could be helpful here >>> thirtyTwos (132432601)
Consider the problem of computing the power function pow(n,x) = n^x using only multiplications. The first...
Consider the problem of computing the power function pow(n,x) = n^x using only multiplications. The first approach is to perform x multiplications ($n \cdot n \cdot n \cdot \ldots \cdot n$, x times). Find a better, recursive algorithm to solve this problem (by better, we mean one that uses fewer than $x$ multiplications). Write down the pseudocode for this new function, and then analyze the runtime of that recursive program by first writing out the recurrence relation $T(n, x)$ that...
Given these methods: METHOD math1: public int math1( int n ) { if (n <= 1) { return 1; } // if...
Given these methods: METHOD math1: public int math1( int n ) { if (n <= 1) { return 1; } // if else { return ( n * 2 ) + math1( n-1 ); } // else } // math1 METHOD math2: public int math2( int n ) { if (n <= 1) { return 1; } // if else { return n + math1( n ) * math2( n/2 ); } // else } // math2 (a) Set up...
Consider the problem of computing the power function pow(n,x) = n^x using only multiplications. The first approach is to...
Consider the problem of computing the power function pow(n,x) = n^x using only multiplications. The first approach is to perform x multiplications ($n \cdot n \cdot n \cdot \ldots \cdot n$, x times). Find a better, recursive algorithm to solve this problem (by better, we mean one that uses fewer than $x$ multiplications). Write down the pseudocode for this new function, and then analyze the runtime of that recursive program by first writing out the recurrence relation $T(n, x)$ that...
Write a program that reads an integer greater or equal to 2, n, and prints a...
Write a program that reads an integer greater or equal to 2, n, and prints a shape of a nline hollow inverted pyramid of stars. Your program should interact with the user exactly as it shows in the following two executions: Execution example 1: Please enter an integer, greater or equal to 2: 5 ********* -*----- * --*--- * ---*--* ----* Execution example 2: Please enter an integer, greater or equal to 2: 3 ***** -* * --*
An F statistic can have what values? 1). less than or equal to zero 2). greater...
An F statistic can have what values? 1). less than or equal to zero 2). greater than or equal to zero 3). greater than zero 4). greater than or less than zero less than zero
a solution to an recursive relation is given by the equation. find the explicit formula for a to the n 0001061000 2...
a solution to an recursive relation is given by the equation.
find the explicit formula for a to the n
0001061000 2 where ao = 2 and a1 = 7, Find the expl u for the number of objects or ways. Leave your answer 2. A solution to an recursive relation is given by the equation: an an-1 + 2an-2 where ao 2 and a17. Find 3. This is a counting problem. All questions in this problem ask you for...
Consider the following recursive algorithm for computing the sum
of the first n cubes: S(n) = 13 +
23 + … + n3.
(a) Set up a recurrence relation for the number of
multiplications made by this algorithm.
(b) Provide an initial condition for the
recurrence relation you develop at the question (a).
(c) Solve the recurrence relation of the
question (a) and present the time complexity as described at the
question number 1.
Algorithm S n) Input: A positive...
ALGORITHM RecS(n) // Input: A nonnegative integer n ifn=0 return 0 else return RecS(n+ n n n Determine what this algorithm computes. You must justify your answer. made by this algorithm and solve it. You must justify your answer. same thing using for/while loop(s) developed in (3). You must justify your answer. 1) 2) Set up the initial condition and recurrence relation for the number of multiplications 3) Write the pseudocode for the non-recursive version of this algorithm, i.e., compute...
In Python 3
(2.5 pts] Write the recursive function thirtyTwos(n) that takes an integer greater or equal to 0 and returns an integer that represents the number of times that a 2 directly follows a 3 in the digits of n. Hint: The % and // operations from sumDigits could be helpful here >>> thirtyTwos (132432601)
a solution to an recursive relation is given by the equation.
find the explicit formula for a to the n
0001061000 2 where ao = 2 and a1 = 7, Find the expl u for the number of objects or ways. Leave your answer 2. A solution to an recursive relation is given by the equation: an an-1 + 2an-2 where ao 2 and a17. Find 3. This is a counting problem. All questions in this problem ask you for...
Most questions answered within 3 hours.
-
2. Boris recently synthesized an explosive compound he named
Badenoughium. The molecular formula for Bdenoughium is...
asked 1 hour ago -
5. A car decelerate evenly from a velocity of 50mph until rest
in a distance of...
asked 1 hour ago -
IN HTML Programming
1. Write a script that inputs integers (one at a time) and
passes...
asked 2 hours ago -
A dentist uses a mirror to examine a tooth that is 0.75 cm in
front of...
asked 2 hours ago -
You set up a 100,000 line of credit for the business on 1/1/X8,
annual interest is...
asked 2 hours ago -
What is the measurement uncertainty of a pan balance? How did you
get that?
asked 2 hours ago -
Suppose four firms have market shares of 30%, 30%, 20% and 20%.
What is the Herfindahl-Hirschman...
asked 2 hours ago -
IBT Industrial Solutions produces forty units of rack and pinion
type steering gears during an eight...
asked 2 hours ago -
The Ksp for PbI2 is 9.8×10−9 . Will PbI2 precipitate if 2.5 mL
of 0.0025 M...
asked 2 hours ago -
- Write a Person Constructor that initializes `name` and
`age` from arguments.
- All instances of...
asked 2 hours ago -
What is the meaning of the statement: In acid-base catalysis,
acid catalysis involves partial proton transfer...
asked 2 hours ago -
Polo Publishers purchased a multi-color offset press with terms
of $65,000 down and a noninterest-bearing note...
asked 2 hours ago