Algorithm complexity The complexity of a computer algorithm is the number of operations or steps the algorithm needs to complete its task assuming there are n pieces of input (for example, the number of steps needed to put n numbers in ascending order). Four algorithms for doing the same task have complexities of A: n 3/2 , B: n log 2 n , C: n (log 2 n ) 2 , and D: n log 2 n . Rank the algorithms in order of increasing efficiency for large values of n . Graph the complexities as they vary with n and comment on your observations.
Algorithm complexity The complexity of a computer algorithm is the number of operations or steps the algorithm needs to complete its task assuming there are n pieces of input (for example, the number of steps needed to put n numbers in ascending order). Four algorithms for doing the same task have complexities of A: n 3/2 , B: n log 2 n , C: n (log 2 n ) 2 , and D: n log 2 n . Rank the algorithms in order of increasing efficiency for large values of n . Graph the complexities as they vary with n and comment on your observations.
Solution Summary: The author explains the ranking order of the algorithms from least to most efficient is A, C, B, D.
Algorithm complexity The complexity of a computer algorithm is the number of operations or steps the algorithm needs to complete its task assuming there are n pieces of input (for example, the number of steps needed to put n numbers in ascending order). Four algorithms for doing the same task have complexities of A: n3/2, B: n log2n, C: n(log2n)2, and D:
n
log
2
n
. Rank the algorithms in order of increasing efficiency for large values of n. Graph the complexities as they vary with n and comment on your observations.
A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 28 kilograms each, and the small boxes weigh 14 kilograms each.
There are 130 boxes in all. If the truck is carrying a total of 2800 kilograms in boxes, how many of each type of box is it carrying?
Note that the ALEKS graphing calculator can be used to make computations easier.
Number of large boxes: |||
Number of small boxes:|
Help me fast with detail explanation.
Geraldo multiplies the decimals 0.84 x 0.55 using a calculator and gets the answer 0.462. He is puzzled because he knows the algorithm for multiplying these would be to take the numbers 84 and 55, multiply them, and move the decimal over four places. However, here the decimal is only moved over three places. Is this an example where the "rule" is incorrect? Explain how to help Geraldo understand this problem.
Volume of Histogram: Imagine a histogram (bar graph). Design an algorithm to compute the
volume of water it could hold if someone poured water across the top. You can assume that each
histogram bar has width 1.
EXAMPLE
Input: {0, 0, 4, 0, 0, 6, 0, 0, 3, 0, 5, 0, 1, 0, 0, 0}
(Black bars are the histogram. Gray is water.)
IL.
0 0 4 0 0 6 0 0 3 0 5 0 1 0 0 0
University Calculus: Early Transcendentals (3rd Edition)
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