# 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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