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Suppose that the votes of n people for different candidates (where there can be more than two candidates) for a particular office are the elements of a sequence. A person wins the election if this person receives a majority of the votes.
a) Devise a divide-and-conquer algorithm that determines whether a candidate received a majority and, if so, determine who this candidate is that n is even and split the sequence of votes into two sequences, each with n/2 elements. Note that a candidate could not have received a majority of votes without receiving a majority of votes in at least one of the two halves.]
b) Use the master theorem to give a big-O estimate for the number of comparisons needed by the algorithm you devised in part (a).
The owner of a store displays a large jar of nickles and dimes and offers the value of the coins to the person who guesses how many dimes there are. If there are 1,130 coins, and they are worth $100, how many dimes are there?
Suppose that the survival distribution of a group of patients follows theexponential distribution with G = 0 (year),λ = 0.65. Plot the survivorshipfunction and find: The mean survival time and The median survival time
What do MIN-VC and MIN-SC have in common? Can one consider one of these problems as a special case of the other?
Find the general solution of the given differential equation x dy/dx+2y=3.
Write the value of the stock on the tree where pre-mature exercise of the American put is optimal. Report "0" if premature exercise of the option is not optimal.
Let p represent the proportion of all actors who are extroverts. Find a point estimate for p. (Round your answer to four decimal places.) Find a 95% confidence interval for p. (Round your answers to two decimal places.)
If I treat the upper block as a 2x2 matrix, I can find P = [1 0; 1 1] (Note: Using Matlab notation here). This correctly results in INV(P)AP = [3 1; 0 3] which is in the form needed.
What are the values of the series t =0 and t = -Π/2 and the corresponding values for original function f(t)? Quote theorems to explain possible discrepancy.
A baker has 25 pounds of wheat and 5 pounds of sugar. To bake each loaf of bread, the baker needs to use 1.3 pounds of wheat and 0.5 pound of sugar
Equation of an Ellipse, Principal and Interest and Lotto Probabilities, Among the professionals you have interviewed for your article , were several state and federal government spokespersons who use linear equations in a variety of ways.
Find the first four terms in each of two linearly independent solutions of the given differential equation (solve by means of a power series about the given point x0 ).
A breeding group of foxes is introduced into a protected area, and the population growth follows a logistic pattern. After t years the population of foxes is given by N=39.68/(.30+0.88^t)
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