Algorithm for finding smallest element in unsorted array

Assignment Help Data Structure & Algorithms
Reference no: EM1352324

Q1) Consider the following algorithm for finding the smallest element in an unsorted array:

RANDOMMIN(A[1 .. n]):
min ← ∞
for i ← 1 to n in random order
if A[i] < min
min ← A[i] ( )
return min

(a) In the worst case, how many times does RANDOMMIN execute line ( )?

(b) What is the probability that line ( ) is executed during the nth iteration of the for loop?

(c) What is the exact expected number of executions of line ( )?

Reference no: EM1352324

Questions Cloud

Selling company new shares : The Norman Company needs to raise $50 million of new equity capital, Its common stock is currently selling for $50 per share. The investment bankers need an underwriting spread of 3% of the offering price.
What maximum height does the stone rise from that position : A dentist uses a small mirror of radius 55 mm to locate a cavity in a patient's tooth. If the mirror is concave and is held 20 mm from the tooth, what is the magnification of image.
Explain organization behavior concepts : Provide a discussion on the various organizational behavior concepts using Boston Brothers as the backdrop.
Explain what key challenges should firm''s overcome : Explain What key challenges should firm's overcome to use technological innovation as a basis of compe titive advantage and What key competences are required?
Algorithm for finding smallest element in unsorted array : Consider the following algorithm for finding the smallest element in an unsorted array: RANDOMMIN(A[1 .. n]). What is the exact expected number of executions of line ( )?
Analyze indicators and prepare a report expected : Analyze these indicators and prepare a 3-4 page report explaining the expected short impact on firms.
Organizational mission and customer demands : Analyze how the organizational mission and customer demands impact the organizational behavior of the NYC Department of Education.
Determine securities profit : LaJolla Securitites Corporation specializes in the underwriting of small companies. The terms of a recent offering were as follows:
What is the potential difference in volts between the plates : The sunlight reaching the earth has a maximum electric field 810 V/m. compute the maximum magnetic field associated with it.

Reviews

Write a Review

Data Structure & Algorithms Questions & Answers

  Factors-principles considering indecency regulation issues

What factors and principles should the federal government take into account when considering indecency regulation issues?

  Algorithm-flow chart for people having computer experience

Write an algorithm and design a flow chart to determine all people who have computer experience.

  Primitives-remove ambiguities in algorithm-s representation

Describe how the use of primitives helps remove ambiguities in an algorithm's representation.

  Calculate worst-case run-time complexity of algorithm

Calculate the worst-case run-time complexity of your algorithm and prove optimality of the solution it gives. Suppose that the road is a straight line with a western end and an eastern end.

  Polynomial time algorithm for rooted directed acyclic graphs

Illustrate that if you were given a polynomial time algorithm for determining whether two rooted directed acyclic graphs are isomorphic, then polynomial time algorithm for testing.

  Find the minimum cost path from a designated node

Find the Minimum Cost Path from a designated start node to a designated destination node in a graph.

  Addition and subtraction of numbers in binary

Addition and Subtraction of numbers in binary and round to the nearest decimal number with three significant decimal digits

  Explaining instruction format of operation code field

Operation code field, a mode field, to specify one of seven addressing modes, a register address field to specify one of 60 processor registers, and memory address. Specify instruction format and number of bits in each field if the instruction ..

  Creating algorithm broken into sequence of words

Katt wishes you to create an algorithm that, given a string X, determines efficiently how many ways X can be broken up into sequence of words.

  Effective address-addressing mode of instruction is direct

Evaluate the effective address if the addressing mode of the instruction is (a) direct; (b) immediate; (c) relative; (d) register indirect.

  Explain the sorting techniques selection sort

Explain the following sorting techniques using appropriate algorithms- (i) selection sort (ii) bubble sort

  Advantage of fast running time of insertion sort

Running time of quicksort can be enhanced in practice by taking advantage of fast running time of insertion sort when its input is "nearly" sorted.

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd