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FIT1008-FIT2085 Fundamentals of algorithms - S1 2025

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What in the following are Set ADT operations?

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Given that there are

n items in a list to sort, what's the maximum number of swaps (or copies for shuffling elements) for Insertion Sort per iteration?

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Given a numeric algorithm taking an arbitrary integer n as input, with respect to what should its complexity be analysed?

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Estimate the complexity of the following function in terms of the input integer n:

def mystery(n: int) -> int:

result = 0

for i in range(n):

for j in range(i):

result += i * j

return result

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Is Insertion Sort Incremental?

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Is Bubble sort stable?

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Given an algorithm taking a list of n strings as input such that each string is limited by a fixed number of characters, with respect to what should its complexity be analysed?

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Estimate the complexity of the following function in terms of the input integer n:

def mystery(n: int) -> None:

result = 0

for i in range(n):

for j in range(100000000):

result += i * j

return result

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Is Selection Sort Incremental?

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Given that there are n items in a list to sort, what's the maximum number of swaps for Selection Sort per iteration?

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