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Floyd’s cycle-finding algorithm Assignment Help

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What is Floyd’s cycle finding algorithm?

Floyd's cycle-finding algorithm, also called the {"tortoise and the hare"} algorithm, is a pointer algorithm that uses only two pointers, which move through the sequence at different speeds.

Example Of Floyd's cycle-finding algorithm

def floyd(f, x0):
tortoise = f(x0) # f(x0) is the element/node next to x0.
hare = f(f(x0))
while tortoise != hare:
tortoise = f(tortoise)
hare = f(f(hare))
mu = 0
tortoise = x0
while tortoise != hare:
tortoise = f(tortoise)
hare = f(hare)   
lam = 1
hare = f(tortoise)
while tortoise != hare:
hare = f(hare)
lam += 1
return lam, mu

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Floyd's cycle-finding algorithm Example

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