7. Algorithm Growth Rate

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Algorithms and Data Structures | Test 3 Review | CSCI-3110-002 MTSU
Mena Sargios
Quiz by Mena Sargios, updated more than 1 year ago
Mena Sargios
Created by Mena Sargios about 8 years ago
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Resource summary

Question 1

Question
Algorithm analysis focuses on the ORDER of an algorithm, that is it's ____ rate function.
Answer
  • Growth
  • none of the above

Question 2

Question
Q: Which of these algorithms is faster
Answer
  • a.N^2
  • b.N
  • c.N^2 +2N
  • d.N + N
  • e.a & c
  • f.b & d

Question 3

Question
what is algorithm analysis concerned with?
Answer
  • A.what its start points are
  • B,how well it handles inputs
  • C.how fast a program runs
  • D.how many times it loop

Question 4

Question
Algorithm analysis focuses on the ORDER of an algorithm
Answer
  • True
  • False

Question 5

Question
what is the name of this common growth rate O(1)?
Answer
  • A)factorial
  • B)linear
  • C)constant time
  • D)logarithmic

Question 6

Question
If an algorithm requires f(n) time, then it is oder f(n), or O(f(n)), if there is a constant k such that for large values of n:
Answer
  • a. f(n) >= k*f(n)
  • b. f(n) = f(n^2)
  • c. f(n) <= k*f(n)
  • d. None of the above!

Question 7

Question
What is the order of the function x^2 - 7x + 3?
Answer
  • A) O(n)
  • B) O(log n)
  • C) O(2n)
  • D) O(n^2)

Question 8

Question
Algorithm analysis focuses more on how fast a program runs rather than how efficient the algorithm is as inputs increase.
Answer
  • True
  • False

Question 9

Question
Which of the following is a reasonable conclusion from analzying an algorithm?
Answer
  • A. The algorithm requres 5 * N time units to solve a problem with N inputs
  • B. The program implementing the algorithm took 0.5 seconds to execute
  • C. Algorithm A requres more time units to solve a problem than B
  • D. The algorithm appears effecient because it looks like it would be.

Question 10

Question
What is O(1)?
Answer
  • A) Logarithmic
  • B) Linear
  • C) Constant
  • D) None of the above

Question 11

Question
All of the following are properties of growth-rate functions except for one. Which is NOT a property of growth-rate functions?
Answer
  • A. can ignore lower order terms
  • B. cannot ignore the multiplicative constant for the highest-order term
  • C. the sum of orders is the order of the sums
  • D. the product of orders is the order of the products

Question 12

Question
Algorithm analysis reaches conclusions like:
Answer
  • A. Algorithm A requires N^2/5 time units to solve a problem with n inputs
  • B. Algorithm B requires 5*N time units to solve a problem with n inputs
  • C. Algorithm B is more efficient than Algorithm A
  • D. All of the above

Question 13

Question
These typical growth rates are put in order from best to worst O(1), O(log N), O(N logN), O(log^2 N), O(N), O(N^2), O(N^3), O(2^N)
Answer
  • True
  • False

Question 14

Question
Is the following description of properties of growth-rate function correct? 1) ignore lower order terms 2) ignore the multiplicative constant for the highest-order term 3) O ( f(n) ) + O ( g(n) ) = O ( f(n) + g(n) )
Answer
  • a. yes, correct
  • b. no, incorrect

Question 15

Question
If f(n) = n^4 and g(n) = 4n, what is O( f(n) ) + O( g(n) )?
Answer
  • O( f(n) + g(n) ) = O(n^4 + 4n) = O(n^4)
  • none of the above
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