![]() I'm not sure how to analyze the time complexity of this problem, but it seems high? So questions are (1) What is the time complexity of my solution? and (2) How can I improve efficiency and readability? def rabbit(n, m): Newborn rabbits keep living, adult rabbits produce themselves and one offspring, and rabbits that are about to die just produce one offspring (see ). In this alteration, rabbits live for a fixed amount of time (input m). If rabbits lived forever, their population sizes would follow a fibonacci sequence. The second snippet tries to use what I learned from the first snippet to solve a related problem. # Fill in the array until you reach the given generationĪllGenerations = allGenerations + allGenerations # First and second generations are trivial Do you have suggestions on how to make my code more readable and more efficient? # Using bottom-up dynamic programming approach, define all fibonacci numbers I think I've done this with O(n) time complexity. The first snippet is just to produce Fibonacci numbers. This post has two code snippets with slightly different but related problems. I'm just moving beyond the standard recursive approach to a lot of simple algorithms. The _getitem_ method need to returns an element based on a given index or raise an Inde圎rror if the index is out of bounds.I would like to improve my code style and its efficiency.Implement the _len_ and _getitem_ method to define a custom sequence.Output: Code language: JSON / JSON with Comments ( json ) Summary ![]() Print(fibonacci) Code language: Python ( python ) Now, you can slice the Fibonacci sequence as follows: from fibonacci import Fibonacci Return 1 return Fibonacci.fib(n -2) + Fibonacci.fib(n -1) Code language: Python ( python ) Return [Fibonacci.fib(k) for k in def fib (n): if n < 2: from functools import lru_cacheĭef _getitem_ (self, index): if isinstance(index, int): Otherwise, it returns the Fibonacci number of the index. The _getitem_ method raises the Inde圎rror exception if the index is out of bounds. The _getitem_ checks if the index is integer by using the isinstance function. The _getitem_ method accepts an index which is an integer. Return Fibonacci.fib(index) Code language: Python ( python ) To calculate a Fibonacci number in Python, you define a recursive function as follows: def fib (n): if n self.n - 1: īut we’ll stick with the original Fibonacci sequence that starts at one. Some sources state that the Fibonacci sequence starts at zero, not 1 like this: 0, 1, 1, 2, 3, 5, 8, 13, 21. The following formula describes the Fibonacci sequence: f(1) = 1 In the Fibonacci sequence, each number is the sum of two numbers that precede it. The Fibonacci sequence was first discovered by Leonardo Fibonacci, who is an Italian mathematician, around A.D. If a custom sequence has the _len_ method, you can use the built-in len function to get the number of elements from the sequence. If the index is out of bounds, the _getitem_ method should raise an Inde圎rror exception.Īlso, the _getitem_ method can accept a slice object to support slicing. ![]() The range of the index should be from zero to length - 1. The _getitem_ should return an element from the sequence based on the specified index. The _getitem_ method has the index argument which is an integer. _len_ – returns the length of the sequence._getitem_ – returns an element at a given index.Technically, a custom sequence type needs to implement the following methods: Iterate over the elements of the sequence using the for loop, comprehension, etc.Use the square brackets syntax to retrieve an element by an index.If an object can fullfil the above requirements, then you can: Return an element at a given index or raise an Inde圎rror if the index is out of bounds.Technically, this requirement is not necessary. ![]()
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