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Question: Our existing binary search algorithm (Chapter 3, Example 13) contains the pseudocode instruction find the index k midway between i and j after which the target x is compared to the list item at index k, the "midpoint item." Suppose that this instruction is replaced by
if i = j then
k = j
else
k = i + 1
end if
a. Draw the decision tree that results from using the modified algorithm on a sorted list with n = 8.
b. Give the exact number of comparisons required in the worst case for n = 8.
c. Give a worst-case order-of-magnitude expression for the number of comparisons required as a function of n, and justify your expression. Comment on the use of this algorithm as opposed to the original binary search algorithm, which is Θ(log n).
Application exercise. Suppose that a piece of land gives a perpetual cash flow of $1 000 every year and that the discount rate is 6 percent.
The problem that I'm having is that there is a nonconstant factor of (x^2+y^2+z^2)^(-1/2) appearing on the RHS of this equation, making it non-trivial to solve.
If the sales effect for period 5 is $125 million and the carryover effect is 0.25, calculate the total sales impact for period 5.
write a matrix equation that determines the loop currents. [M] If MATLAB or another matrix program is available, solve the system for the loop currents.
Using the polynomial f(x) = x4 - x3 -x2 - x - 2 , we can also view f as an element of Z[x] , let F be an algebraically closed field containing Z3, how many distinct zeros does f have in F?
A 42 inch piece of string is cut into two pieces. One piece is used to form a circle and the other to form a square. The two peices of string are not equal in length. How should the string be cut so the sum of the areas is a minimum?
BE18-7 Turner, Inc. began work on a $7,000,000 contract in 2014 to construct an office building. During 2014, Turner, Inc. incurred costs of $1,700,000.
A homeowner wants to enclose a 5,800 square feet rectangular garden by a fence in his backyard. If three sides of the fence cost $6.25 per foot and 4th side costs $10.25 per foot,
Apple Computer's announcement introducing the iPhone 3G created a predictable storm of news activity and reaction. What PR activities did Apple itself undertake as part of the launch? Review some of the news media coverage of the Apple announcemen..
1. The minimum value of the sum of real numbers a-5 , a-4 , 3a-3 ,1 , a8 , a10 with a > 0 is .............
Decrypt the message bdpja lxxtrnb, which was encrypted using a shift of 9.
The NOW function can be used to display the current date, time, or a combination of the two in several different formats.
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