What is the worst case running time of a linear search?
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O(1) |
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O(log10N) |
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O(log2N) |
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O(log2N) |
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O(N) |
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O(N log N) |
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O(N2) |
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O(N3) |
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O(Nk) |
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O(2N) |
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O(N!) |

E) O(N)
In worst case, we need to go through all elements of the list. so, in worst case, it takes a total of n operations. hence time complexity is O(N)
What is the worst case running time of a linear search? O(1) O(log10N) O(log2N) O(log2N) O(N)...
What is the worst case running time of a binary search? O(1) O(log10N) O(log2N) O(log2N) O(N) O(N log N) O(N2) O(N3) O(Nk) O(2N) O(N!)
What is the average running time for quicksort? O(1) O(log10N) O(log2N) O(log2N) O(N) O(N log N) O(N2) O(N3) O(Nk) O(2N) O(N!)
JAVA What is the running time required for repeatedly splitting a problem into two equally sized halves, assuming no additional work needs to be done? O(1) O(log10N) O(log2N) O(log2N) O(N) O(N log N) O(N2) O(N3) O(Nk) O(2N) O(N!)
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).
When sorting n records, Merge Sort has worst-case running time O(log n) O O(n log n) O O(n) O(n^2)
When sorting n records, Merge sort has worst-case running time a. O(n log n) b. O(n) c. O(log n) d. O(n^2)
4. Big-Oh and Rune time Analysis: describe the worst case running time of the following pseudocode functions in Big-Oh notation in terms of the variable n. howing your work is not required (although showing work may allow some partial t in the case your answer is wrong-don't spend a lot of time showing your work.). You MUST choose your answer from the following (not given in any particular order), each of which could be re-used (could be the answer for...
1) What’s the (worst-case) running time of Hash Table Search for collision resolution by chaining? Express your answer in asymptotic notation. Use the standard notation where n is number of keys and m is number of slots. 2) What’s the (worst-case) running time of Hash Table Search for collision resolution by open-addressing? Express your answer in asymptotic notation. Use the standard notation where n is number of keys and m is number of slots. 3)What simple change in BucketSort can...
7. What is the worst-case running time complexity of an algorithm with the recurrence relation T(N) = 2T(N/4) + O(N2)? Hint: Use the Master Theorem.
a) Prove that running time T(n)=n3+30n+1 is O(n3) [1 mark] b) Prove that running time T(n)=(n+30)(n+5) is O(n2) [1 mark] c) Count the number of primitive operation of algorithm unique1 on page 174 of textbook, give a big-Oh of this algorithm and prove it. [2 mark] d) Order the following function by asymptotic growth rate [2 mark] a. 4nlogn+2n b. 210 c. 3n+100logn d. n2+10n e. n3 f. nlogn