a(n) = (k^2)+(k^3)
b(n) = (k^2)log(k) + (k^3)
Which would be true? Can be multiple
a is O(b), b is Θ(a), and a is Ω(b)
Answer:-
a is O(b)
b is Θ(a)
Both of them are true.
Explanation:-
a(n) = (k^2)+(k^3) b(n) = (k^2)log(k) + (k^3) Which would be true? Can be multiple a...
O(log(log(N))) < O(log(N)) a. True b. False O(N ) < O(log(N)) a. True b. False O( N5) < O(N2 - 3N + 2) a. True b. False O(2N) < O(N2) a. True b. False
if possible solve part d in detail.
a) fi(n) n2+ 45 n log n b) f:(n)-1o+ n3 +856 c) f3(n) 16 vn log n 2. Use the functions in part 1 a) Isfi(n) in O(f(n)), Ω(fg(n)), or Θ((6(n))? b) Isfi(n) in O(f(n)), Ω(f,(n)), or Θ((fs(n))? c) Ísf3(n) in O(f(n)), Ω(f(n)), or Θ(f(n))? d) Under what condition, if any, would the "less efficient" algorithm execute more quickly than the "more efficient" algorithm in question c? Explain Give explanations for your answers...
poin (a) 20n-O(n) (c) n=o(log n) (e) log n!= 0(n log nioo) (b) 3(2) 2: 100
Give an algorithm with the following properties. • Worst case running time of O(n 2 log(n)). • Average running time of Θ(n). • Best case running time of Ω(1).
Which are true of Selection Sort? please explain Multiple answers:You can select more than one option A) It uses Θ(n^2) comparisons in the worst case B) It uses Θ(n^2) comparisons in the average case C) It uses Θ(n^2) comparisons in the best case D) It uses Θ(n^2) swaps in the worst case E) It uses Θ(n^2) swaps in the average case F) It uses Θ(n^2) swaps in the best case
(a) Prove that n log^3 n is O(n^2). Prove that n^3 is not O(n^2 log n). (b) The multi Pop (i) method pops i items from the top of a stack. Analyse the amortized complexity of the multiPop (i) method.
Insertion Sort Which are true of Insertion Sort (traditional implementation, without optimizations)? Multiple answers:You can select more than one option. Please, include the explanation with the answer. A) It uses Θ(n^2) comparisons in the worst case B) It uses Θ(n^2) comparisons in the average case C) It uses Θ(n^2) comparisons in the best case D) It uses Θ(n^2) movements of elements in the worst case E) It uses Θ(n^2) movements of elements in the average case F) It uses Θ(n^2)...
Which of the following could be false? A. n2/(log(n)) = O(n2). B. (log n)1000 = O(n1//1000). C. 1/n = O(1/(log(n))). D. 2(log(n))^2 = O(n2). E. None of the above.
1. Randomized Binary Search Which are true of the randomized Binary Search algorithm? Multiple answers:You can select more than one option A) It uses a Variable-Size Decrease-and-Conquer design technique B) Its average case time complexity is Θ(log n) C) Its worst case time complexity is Θ(n) D) It can be implemented iteratively or recursively E) None of the above 2. Randomized Binary Search: Example Assume you have an array, indexed from 0 to 9, with the numbers 1 4 9...
Assume that n is 5 and k is 2. Which of the Boolean expressions are true? 0! (0 <= n && n <= k) n >= 0 && k > 0 05 < n && n < k || k < 10 0 <= n || n < k ! (n <= 5) O 0 <= k <n