Question

We know that **Merge Sort**’s time is O(n log n).
What difference does it make if every segment is divided into
**thirds** rather than halves at each step

Answer #1

PLEASE GIVE AN UPVOTE

THE MAIN DIFFERENCE IS IN TERMS OF TIME COMPLEXITY..IF YOU NEED ABOUT ANY PARTICULAR ONE PLEASE COMMENT

Divide-and-Conquer technique is famous for providing O(n log n)
solutions for problems with O(n2) straight forward
solutions. One of those problems is the “Maximum Subarray Sum” or
“Maximum Value Contiguous Subsequence": Given a sequence of n
numbers A[0 ... n-1], give an algorithm for finding a contiguous
subsequence A[i ... j], for which the sum of elements in this
subsequence is the maximum we can get by choosing different i or
j.
For example: the maximum subarray sum for the...

Determine wether the statements are true or false
1. Suppose we have f(n) = nlgn , g(n) = 5n
, then f(n) = O(g(n)).
2. Suppose we have f(n) = nn/4 , g(n) =
n1/2lg4n , then f(n) = O(g(n)).
3. No comparison-based sorting algorithm can do better than
Ω(n log n) in the worst-case
4. Quicksort running time does not depend on random
shuffling.

1. Given an
n-element array A, Algorithm X executes an
O(n)-time computation for each even
number in A and an O(log n)-time computation for
each odd number in A.
What is the best-case running time of Algorithm X?
What is the worst-case running time of Algorithm X?
2. Given an array,
A, of n integers, give an O(n)-time algorithm that finds
the longest subarray of A such that all the numbers in that
subarray are in sorted order. Your algorithm...

What difference does volatility scaling make on estimating the
VaR and expected shortfall when we use historical simulation?

Why does it make sense for macroeconomists to focus on the
“labor force” rather than the total population when considering the
role of people production? What is the difference between a change
in relative price and a change in general price? Give an example of
each to make your point.

discrete structures problems
1.
A program P takes time proportional to logn where n is the input
size. If the program takes 1 minute to process input of size
1,000,000, how many seconds does it take to process input of size
100?
2.
When the best possible algorithm to solve a problem is
exponential-time, or in general in nonpolynomial (not in
O(np) for any p) we call such a problem
___________________.
3. f(x) is O(x 2) and g(x) is O(x...

Case#1: Develop a personal sense of time
Keeping a time log
One important way by which you can develop a personal sense of time
is to keep a time log, recording how your time is actually spent
over a period of say, a week. The principle of a time log or audit
is to divide each day for the next week or two into fteen minute
intervals.At the end of each hour record how the previous hour was
spent. Keeping...

35 Which of the following does our mind use to make decisions
more quickly and easily than if we labor over every choice?
Heuristics.
Hyperbolic discounting.
Procrastination.
Behavioral economics.
32 Which of the following refers to the difference between the
asset and liability?
Depreciating asset.
Equity.
Appreciating asset.
Liquidity.
16 What percent of the time did the stock market generate a
positive annual return from 1824 to 2013?
Group of answer choices
62%.
47%.
33%.
71%.

Suppose we know that output in the economy is given by the
production function:
Yt = At Kt(1/3)
Lt(2/3)
A. Use partial derivative techniques to solve for the
marginal product of capital. (Remember, it is an equation and NOT a
single number). You must show your work, don’t just simply copy the
answer from the book or lectures.
B. Explain what happens to the MPK as K is increased. Make sure
your explanation includes a behavioral rather than just
mathematical explanation....

How to measure the time complexity of an
algorithm?
Identify an important operation in the algorithm that is
executed most frequently.
Express the number of times it is executed as a function of
N.
Convert this expression into the Big-O notation.
A. For each of the three fragments of code, what is its
worst-case time complexity, in the form "O(…)". (Use the
given solution to the first problem as a
model)
//----------------- This is a sample problem – solved
------...

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