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FIT1008-FIT2085 Fundamentals of algorithms - S1 2025

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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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Given an algorithm taking a string 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) -> None:

result = 0

for i in range(10000000):

j = n

while j > 2:

result += i

j /= 2

return result

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Can Bubble Sort be made incremental?

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Is Selection Sort Stable?

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

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