Fibonacci rabbits python Leaving the history of zero for another time, we'll look at Fibonacci's rabbit mating problem. Dec 2, 2016 · I've implemented a traditional fibonacci recursion related with the reproduction of a population of rabbits in python2. These rabbits bred at a fixed rate, matured over the course of one month Mar 3, 2025 · Fibonacci Series Program in Python: The Fibonacci series in python is the simplest to implement in the Python programming language. 4. Using a For Loop. The code defines a recursive function, fib, to generate Fibonacci series. 1905 photo from Australia of a cart loaded to the hilt with rabbit skins. 00:00 Getting Started With the Fibonacci Sequence. We can reformat the model in this way: let Mn be the number of adult pairs of rabbits (at least two months old), and let Jn be the number of juvenile pair (one month old), then Mn+1 = Mn + Jn, Jn+1 = Mn, with M0 = 0 and Jn = 1, or in matrix Feb 16, 2024 · Fibonacci Series In Python Using Variables . The upgraded Fibonacci function alone improves the speed by about 20x. You do not need a __del__ method, deleting the rabbit from the nest list is 'death'. The … - Selection from Mastering Python for Bioinformatics [Book] rabbits, one male, one female, are put in a field. No rabbit ever dies and each pair of rabbits will breed perfectly on time. So at the end of its second month a female can produce another pair of rabbits. In a pair of a male and a female rabbit, if no rabbits die or leave the place, it forms the Fibonacci sequence 1,1,2,3,5, and so on due to their reproduction. In his book, the Liber Abaci, he posed and solved a problem involving the growth of a hypothetical population of rabbits based on idealized assumptions. And the female always produces one new pair (one male, one female) every month from the second month on. 2. This simple recursive sequence has fascinated mathematicians for centuries due to its many unique properties and pervasive nature in the natural world. The squares fit perfectly together because of the nature of the May 4, 2015 · Hey this is rabbit code # Python program to display the Fibonacci sequence up to n-th term using recursive functions def recur_fibo (n): """ Recursive function to print Fibonacci sequence """ if n <= 1: return n else: return (recur_fibo(n-1) + recur_fibo(n-2)) # take input from the user nterms = int (input (" How many terms? Jun 2, 2016 · This time we are asked to calculate how many rabbit pairs there are after n months if every grown pair produces k new pairs each month and it takes one month for a new pair to become reproductive. Jul 18, 2022 · A man put a male-female pair of newly born rabbits in a field. However I don’t think that this solution is “dynamic programming”: there is no memoization and no re-use of solution (or is there ?!). 8,351 17 17 gold badges 68 68 silver badges 108 108 bronze badges. #Bioinformatics #Python #Fibonacci #Rabbits[=== Video Notes/Links ===]Fibonacci Seq Sep 3, 2024 · The Fibonacci sequence originates from the mathematical modeling of idealized rabbit breeding. Every month thereafter, a breeding pair of rabbits produce one further pair of rabbits. The Fibonacci sequence, named after the Italian mathematician Fibonacci, is one of the most famous sequences in mathematics. It also contains a function print_fib to handle edge cases and initiate the Fibonacci series printing. Mar 8, 2013 · In a final Hollywood twist, another experimental rabbit virus escaped in 1991, and some resistance has already been observed. Therefore, the start of their 3rd month alive will also see 1 newborn pair. The program is recursive in nature. No rabbits die. Feb 22, 2013 · Fibonacci's exercise was to calculate how many pairs of rabbits would remain in one year. - Each pair of baby rabbits matures into a pair of adults. Given: Positive integers and . Rabbits take two months to reach maturity, and after that, they give birth to another pair of rabbits every month. While he wasn't the first, his book made a big difference in European usage of 0 through 9. info 저번 문제와는 다르게 이번에는 토끼의 수명이 있다. Below, are the implementation of Python Program to Display Fibonacci Sequence Using Recursion. The two base cases generate the first two Fibonacci numbers 1 and 1. Iterate through the nest list and remove dead rabbits. Nov 27, 2024 · 在Python中，我们可以编写如下的代码来模拟这个过程： ```python def fibonacci_rabbits(year): # 初始条件：第一月一对兔子，第二个月零对新出生兔子 rabbits = [1, 0] for _ in range(1, year): # 每个月新生兔子数量等于上个月兔子总数 new_bunnies = rabbits[-1] + rabbits[-2] rabbits. We will cover: The mathematical derivation and properties of Fibonacci numbers; Multiple Python programs to print the sequence ; Comparison between iterative and recursive solutions ; Efficiency considerations and optimizations Jun 10, 2021 · One great thing in Python is — there are so many options to do one thing, which again is a curse sometimes. To understand this example, you should have the knowledge of the following Python programming topics: Python for Loop; Python Functions; Python Recursion; Python ifelse Statement In his publication Liber Abaci Leonardo Bonacci, aka Fibonacci, posed a problem involving a population of idealized rabbits. A set of Python scripts that are useful for biology analyses - gnrobinson/useful_scripts Dec 31, 2020 · Suppose a pair of rabbits are introduced to a certain location in the first month of the year. Suppose that our rabbits never die. We can abbreviate these rules by using “W” for a pair of adult rabbits and “w” for a pair of baby rabbits (“w” signifying two pairs of rabbit ears, of course). com 이번문제는 저번문제와 내용은 같으나 추가되는 조건이 있습니다. Leonardo Fibonacci was an Italian mathematician who was able to quickly produce an answer to this question asked by Emperor Frederick II of Swabia: “How many pairs of rabbits are obtained in a year, excluding cases of death, supposing that each couple gives birth to another couple every month and that the youngest couples are able to reproduce In this video, we solve two Fibonacci Sequence based problems on Rosalind. The idea is from 1 pair of baby rabbits, they grow up in 1 month time passes, and make kids in this case is 1 pair. 7; Macbook Air OS X 10. tistory. Rabbits take one month to reach an age at which they may give birth. Question: Fibonacci’s rabbits problem A man put a pair of rabbits in a place surrounded by a wall. It can now be implemented in a variety of ways, including: Fibonacci series in python using for loop; Fibonacci series in python using recursion; Fibonacci Series in python using for Loop: Fibonacci promoted the Hindi-Arabic system of numbers, our modern system, over the Roman I, V, X, and such. The Fibonacci sequence, named after the Italian mathematician Leonardo Fibonacci, is a fascinating series of numbers with surprising applications in nature, mathematics, and even art. Fibonacci’s rabbit model not only considers the total number of rabbits, but also the ages of rabbit. info without explanations - Rosalind-solutions/20 [fibd] Mortal Fibonacci Rabbits at master · Hosseinem/Rosalind-solutions Rosalind practice problems with python. #Bioinformatics #Python #Fibonacci #Rabbits[=== Video Notes/Links ===]Fibonacci Seq FIBONACCI (1170-1250) Fibonacci was one of the greatest European mathematicians of the Middle Ages (born in the city of Pisa–now in Italy). In this case, we are going to store elements of our Fibonacci series inside a Python Nov 7, 2020 · Fibonacci sequence 는 Fn=Fn-1+Fn-2 로 알려져 있습니다. Suppose a pair of rabbits can reproduce starting at one month old and continue to produce another pair every subsequent month. effectively becomes term3) and then term1 is updated with the value of the temporary variable. getrecursionlimit() * 2 (the multiplier being due to how your recursion is currently structured; the limit is typically on the order of 1000-3000, depending on build settings and tweaks by third-party tools like IPython), which will die Jun 10, 2024 · We can find this sequence in rabbits. append(new Jun 23, 2010 · Bunny Rabbit Bunny Rabbit. Dec 26, 2024 · Fibonacci introduced the sequence to Western mathematics in his book “Liber Abaci” (The Book of Calculation), published in 1202. Rabbits never die and never stop being able to produce further rabbits. Python - strong Fibonacci series using For-Loop; Python - strong Fibonacci series using recursion; Python - Find all strong factors of a number; Python - Find strong area of circle; Python - Find strong area of rectangle; Python - Find strong area of square; Python - Find strong factorial of a number Dec 7, 2022 · Between #1 and #2, you'll have a range of inputs that will take "heat-death-of-the-universe" time to complete, followed by all inputs larger than roughly sys. Creating the Fibonacci Sequence: Writing, Testing, and Benchmarking Algorithms Writing an implementation of the Fibonacci sequence is another step in the heroâ s journey to becoming a coder. Imperfect Fibonacci Rabbits. 2) If the index is greater than or equal to m: Current term = sum of (m - 1) previous terms (ignoring the one immediately before). The inductive step calls the function recursively to generate new numbers. Manage code changes May 29, 2018 · The second snippet tries to use what I learned from the first snippet to solve a related problem. The Fibonacci sequence considers the growth of an idealized (biologically unrealistic) rabbit population. If rabbits lived forever, their population sizes would follow a fibonacci sequence. These are my python based solutions to the first 20 problems of https://www. def fibonacci(n): if n is 0 or n is 1: return 1 else: return (fibonacci(n-1)+fibonacci(n-2)) This code computes the population if exactly one month after two rabbits mate, they produce one male and one female rabbit. These rabbits bred at a fixed rate, matured over the course of one month Jun 17, 2021 · Nowadays, Fibonacci is better known for the discovery of some numbers, now called the Fibonacci sequence, which arose when he tried to solve an enigma about rabbit mating habits. py at master · psalmon/Fibonacci-Rabbits-Die The iterative version of the Fibonacci sequence needs a loop which continues until the n-th term of the sequence is calculated. How many pairs of rabbits will be there in a year if the initial pair of rabbits (male and female) are newborn and all rabbit pairs are not fertile during their first month of life but thereafter give birth to one new male/female pair at the end of every month? I am working through problems on ROSALIND to learn how to code python. Feb 26, 2016 · Normal Fibonacci (Current term = previous term + the one before it). What is the Fibonacci python series? Answer: The Fibonacci series is a sequence where each number is the sum of the two preceding ones, starting from 0 and 1. Write a Python function to print the Fibonacci sequence up to a given number n. Duration = 6 Months. Run for n months, where rabbits die after they have lived for m months. One of the simplest ways to generate the Fibonacci series is by using a for loop. . 3. Fibonacci series in python 3 displays only final number. Jan 9, 2025 · Imperfect Fibonacci Rabbits RealSaitama · January 09, 2025 Python Python 3. Rabbits take a month to mature before mating. We can see that in the second month, the first pair of rabbits reach reproductive age and mate. e. In the third month, another pair of rabbits is born, and we have two rabbit pairs; our first pair of rabbits mates again. Jan 28, 2025 · The Gold­en Ratio can be applied in sev­er­al ways to enhance bal­ance, har­mo­ny, and effi­cien­cy. In this example, below function uses two variables, a and b, to store the last two numbers in the Fibonacci sequence. com/nwhoppe/rosalind # author: nwhoppe # created: 9/3/18 import argparse def mortal_fibonacci_rabbits (n, m): """ calculate number of rabbit pairs at month n assuming one month to reach reproductive age and life span of m months. The problem was stated as follows: Suppose a pair of rabbits is placed in an enclosed area. 618. Imperfect Rabbits In this kata, our rabbits are sadly imperfect, they only live for a few months, and th. For the purpose of this exercise, the following assumptions are made. Iterate through the nest list and apply age() to each rabbit. Here is a simple Python program to generate Fibonacci numbers. Below are some of the ways by which we can find fibonacci series using iterative method in Python: Using for loop; Using While loop ; Fibonacci Series Program Using for loop. 11 (with numpy, scipy, matplotlib, scikit-learn) Run Fork Sep 3, 2024 · The Fibonacci sequence originates from the mathematical modeling of idealized rabbit breeding. Feb 20, 2015 · After reaching the bottom of the stairs, we will make our way back up to the top, one step at a time. 1. Jan 27, 2025 · Infinite rabbits! Fibonacci also showed that as the sequence progresses, the ratio of each number to the number before it approaches the Golden Ratio, which is approximately 1. Fibonacci, also known as Leonardo of Pisa, invented the Fibonacci sequence while studying rabbit populations. 48 of 72 ChristianECooper. If the rabbit is too young to propagate return None. The total number of pairs of rabbits is: F t = N t +Y t +M t (4) Now F t+2 - F t+1 = (N t+2 + Y t+2 + M t+2) - (N t+1 Python Program to Display Fibonacci Sequence Using Recursion. Rabbits are able to mate at the age of one month. In the classical version, we don’t take into account the rabbit mortality rate, which means that once the rabbits reach their breeding age, they will keep breeding and never die. Python 2. The first two terms are 0 and 1. My rabbits achieve maturity after 3 months and die after 6 months. Jul 10, 2015 · Fibonacci sequence came from an attempt of calculating the reproduction of a population of rabbits. Then in the main driver program, we use a for loop to print the first 25 Fibonacci numbers. Fibonacci considers the growth of an idealized (biologically unrealistic) rabbit population, assuming that: a single newly born pair of rabbits (one male, one female) are put in a field; Engineering; Computer Science; Computer Science questions and answers; fibonacci_rabbits(n, k) This function should accept two integers n and k, and calculate the total number of rabbit pairs that will be present after n months, given that every pair of mating rabbits produces k rabbit pairs in their next litter (in the next month). One month after mating, females give birth to one male-female pair and then mate again. The idea is that you start out with 1 pair of adult rabbits. so they go 1 1 2 3 5 8 and so on. Now, let me show you different methods for the Fibonacci series program in Python with examples. Fibonacci considers the growth of an idealized (biologically unrealistic) rabbit population, assuming that: a single newly born pair of rabbits (one male, one female) are put in a field; Dec 12, 2024 · Mortal Fibonacci Rabbits solved by 13295 Wabbit Season Figure 1. Case 1: Using List to Store Elements. 7 def fibonacci(n): if n is 0 or n is 1: return 1 else: return (fibonacci(n-1)+fibonacci(n-2)) May 8, 2013 · In this comprehensive guide, we will explore different methods to generate and print the Fibonacci sequence in Python. 7. Jul 25, 2017 · A Fibonacci spiral is a series of connected quarter-circles drawn inside an array of squares with Fibonacci numbers for dimensions. The first two numbers of the Fibonacci series are 0 and 1 and are used to generate the whole series. Dec 15, 2024 · How can you Implement the Fibonacci Series Program In Python? The Fibonacci Series Program In Python can be implemented using several methods. Engineering; Computer Science; Computer Science questions and answers; fibonacci_rabbits(n, k) This function should accept two integers n and k, and calculate the total number of rabbit pairs that will be present after n months, given that every pair of mating rabbits produces k rabbit pairs in their next litter (in the next month). Here’s a Python program to print the Fibonacci series up to a given number of terms: Fibonacci is best known to the modern world for the spreading of the Arabic numeral system in Europe, as well as for a modern number sequence named after him known as the Fibonacci numbers. Mar 10, 2016 · I'm trying to modify the python code for Fibonacci mortal rabbits in order to vary the fecundity of the rabbits depending on their age. In the West, the Fibonacci sequence first appears in the book Liber Abaci (1202) by Leonardo of Pisa, known as Fibonacci. Aug 12, 2023 · What is the Fibonacci sequence? The Fibonacci sequence is a simple mathematical pattern with very interesting properties that can be found in various aspects of nature. Dec 31, 2020 · See Figure 4 for a depiction of a rabbit tree in which rabbits live for three months (meaning that they reproduce only twice before dying). Contribute to Gri-zz/studying--Rosalind-python- development by creating an account on GitHub. Here’s a Python program to print the Fibonacci series up to a given number of terms: Apr 8, 2024 · 3、请分别用非递归方法和Fibonacci通项公式求出兔子繁殖问题(Fibonacci’s Rabbits)中第n个月小兔子的数量。要求如下： （1） 列出Fibonacci通项公式 （2）编程实现题目中的两种算法 （3）在程序中，n由使用者输入，当为负数或0时，报异常，提示用户输入值错误，并允许用户重新输入，直到用户输入正确 Oct 23, 2022 · 斐波那契数列（Fibonacci sequence），又称黄金分割数列，因数学家莱昂纳多·斐波那契（Leonardoda Fibonacci）以兔子繁殖为例子而引入，故又称为“兔子数列”。 斐波那契数列指的是这样一个数列： t (2) because after one month a new-born rabbit becomes a young rabbit. Leonardo Fibonacci was an Italian mathematician who was able to quickly produce an answer to this question asked by Emperor Frederick II of Swabia: “How many pairs of rabbits are obtained in a year, excluding cases of death, supposing that each couple gives birth to another couple every month and that the youngest couples are able to Aug 28, 2024 · The Fibonacci series is the sequence where each number is the sum of the previous two numbers. Let's make an example. Rabbits never die or stop reproducing. Jul 10, 2015 · The number of rabbits will be then the sum of this list. All other terms are obtained by adding the preceding two terms. He introduced the European world to Arabic notation for numerals and algorithms for arithmetic. 00:00 Let’s talk about the Fibonacci numbers. Fibonacci's Rabbits. Firosalind. There is a specific one about the number of rabbits after n months. After maturing, rabbits produce another pair of newborn rabbits each subsequent month. md) - Longest Increasing Subsequence 最长上升子序列 - Perfect Matchings and RNA Secondary Structures 完美匹配与RNA二级结构 - Catalan Numbers and RNA Secondary Structures 卡特兰数与RNA二级 Aug 27, 2024 · Program to Print Fibonacci Series in Python. If a rabbit is mature its offspring are added to the nest list. Wascally Wabbits을 눌러보면 토끼가 1쌍이 자라는데 1달, mopipe. Rabbit Population Growth: Fibonacci originally introduced the series in the context of a problem involving the growth of a rabbit population. If m = 3 then: In this step-by-step tutorial, you'll explore the Fibonacci sequence in Python, which serves as an invaluable springboard into the world of recursion, and learn how to optimize recursive algorithms in the process. The problem describes the Fibonacci sequence and how it can be applied to the simplest version of the problem, the case when k=1. py at master · nwhoppe/rosalind This program will ask for the number of months to run the simluation, and how long rabbits are alive in months. Background This is an extension of this kata so I suggest you complete that one first. Nov 23, 2023 · 斐波那契数列是计算机科学中一个经典的问题，动态规划是解决该问题的高效算法技术。本篇博客将重点介绍斐波那契数列问题的动态规划解法，包括状态定义、状态转移方程、边界条件和状态转移过程，并通过实例代码演示动态规划算法的实现，每行代码都配有详细的注释。 Dec 10, 2024 · Let there be a pair of rabbits. The following is a brief story about Fibonacci, rabbits and an example of a recursive method done in objective-c. Problem In his publication Liber Abaci Leonardo Bonacci, aka Fibonacci, posed a problem involving a population of idealized rabbits. 1. Python: Simulate population of rabbits per Fibonacci Function + Their Deaths Resources Jun 19, 2021 · Ok so I'm trying to write a code to simulate fibonacci number but with rabbits, so they will look like this: Fibbonacci Rabbits: Kids = 1 pair. Suppose a farmer has a pair of rabbits. May 20, 2017 · Below is a rework of your code with a better recursive Fibonacci function (though not as fast as iterative) and memoizing, which @JohnY couldn't fit in his comment, from the blog Memoized recursive fibonacci in Python. A simple loop is efficient for small sequences, recursion directly follows the mathematical definition but is less efficient, and dynamic programming offers the best performance for large sequences by avoiding redundant calculations. Details; Solutions; Discourse (26) You have not earned access to this kata's solutions. Sample Dataset 6 3 Sample Output 4 python解决方案 A Fibonacci sequence is the integer sequence of 0, 1, 1, 2, 3, 5, 8. In particular two terms are changed in the for loop, term1 and term2: term2 is saved in a temporary variable, term2 becomes the sum of both terms (i. M t+1 = M t +Y t (3) because none of the rabbits die so the mature rabbits live on month after month, and the young rabbits become mature after one month. The Fibonacci Series: A Journey of Nature's Numbers. *After 1 month, rabbits are in their reproductive cycle which takes another month. It iterates through the range from 0 to n, updating the variables in each iteration and printing the current Fibonacci number. In this article, we will learn how to find the nth Fibonacci number in C++. 5 I'm working through the Project Rosalind problems, and hit number eleven -- Mortal Fibonacci Rabbits-- which is a Fibonacci series with the added twist that each pair of rabbits dies after some specified number of months. Let new rabbit pair be N and mature rabbit pair be M: N 0 M 1 MNNN 4 MNNN MMM MMM MMM 19 So the se © 2015 Go Figure http://gofiguremath. It is denoted Fibonacci considers the growth of an idealized (biologically unrealistic) rabbit population, assuming that: a newly born pair of rabbits, one male, one female, are put in a field; rabbits are able to mate at the age of one month so that at the end of its second month a female can produce another pair of rabbits; rabbits never die and a mating Feb 14, 2024 · Fibonacci Series Program Using Iterative Method. Feb 26, 2016 · Starting with 1 pair of rabbits, which will begin to reproduce after 2 months. This pair of rabbits will produce a pair of offspring each month, and each pair of rabbits will begin to breed exactly two months after birth. How many rabbit pairs are there after one year? The growth of Fibonacci’s rabbit population is presented in Table 2. The Fibonacci numbers were originally defined by the Italian mathematician Fibonacci to model growth of rabbit populations. Every month, the following rule is applied: - Each pair of adults produces a new pair of baby rabbits. Oct 14, 2020 · In this article, we were able to break down both the Fibonacci and Rabbits recurrence algorithm into a series of steps to get the desired output. Solution: Use an iterative or recursive approach to generate the Fibonacci series. #!/usr/bin/env python # this file is part of the github repository: https://github. The numbers represent living rabbits. Jan 4, 2019 · Suppose I start with one pair of rabbit and each pair reproduces 3 pairs of rabbits. com/Es863zn. org/natures-favorite-math/fibonacci-numbers/fibonacci-rabbits/ 4" generation before! So we can count the number of baby rabbit In this video, we solve two Fibonacci Sequence based problems on Rosalind. The spiral can be seen in seashells and the shapes of snails. Bioinformatics Stronghold 第11题Mortal Fibonacci Rabbits,本题是求n个月后兔子的数量,与第4题相似,但本题会出现兔子死亡的情况,兔子没生存k个月就会死亡,所以弄一个类似滑动窗口来记录兔子存活的个数,而兔子繁殖满足f(n)=f(n-1)+f(n-2)的斐波那契数列 Python: Simulate population of rabbits per Fibonacci Function + Their Deaths - Fibonacci-Rabbits-Die/fibd. *Rabbits are listed in pairs, so 1 will reproduce (to, always, 1 new pair). It uses the Fibonacci sequence to determine the amount after n months, the only caveat being that instead of each pair producing one more pair they produce k pairs. https://imgur. 00:10 The number of pairs of rabbits born in a given year is equal to the number of pairs of rabbits born in each of the two previous years. Input of '6 3' should return 4, but it returns 3. A c. In this comprehensive guide, we will explore the Fibonacci sequence from the ground up – […] Fibonacci's Rabbits. md) - Mortal Fibonacci Rabbits [寿命有限的斐波那契兔子](FIBD. Aug 27, 2024 · Program to Print Fibonacci Series in Python. python scripts for rosalind bioinformatics problems assigned by UCSFs ipqb graduate program - rosalind/mortal_fibonacci_rabbits. Apr 19, 2024 · Python Program to Display Fibonacci Sequence Using Recursion. In Fibonacci‘s original example, he supposed that newborn pairs of rabbits took one month to mature. Return: The total number of pairs of rabbits that will remain after the -th month if all rabbits live for months. Here's an example with a sequence named A and m = 5: A5 = A0 + A1 + A2 + A3 (4 terms, i. In “Liber Abaci”, Fibonacci posed a problem involving the growth of a population of rabbits. rosalind. The bunnies will not be stopped, but they don't live forever, and so in this problem, our aim is to expand Fibonacci's rabbit population model to allow for mortal rabbits. Getting Started With the Fibonacci Sequence. m - 1, ignoring the one immediately before). Plan and track work Code Review. Chapter 4. As you can see the number of rabbits in the third month is the number of offspring (white) per mating cycle plus one adult (black). In archi­tec­ture, the Gold­en Ratio is often used to cre­ate aes­thet­i­cal­ly pleas­ing pro­por­tions, as seen in the design of build­ings like the Great Pyra­mid of Giza (con­struct­ed in 2570 BC) and the Stu­pa of Borobudur in Java, Indone­sia, which has the dimen Apr 24, 2015 · Rabbit populations for the first 3 months when k = 3 and k = 4. Leonardo Fibonacci was an Italian mathematician who was able to quickly produce an answer to this question asked by Emperor Frederick II of Swabia: “How many pairs of rabbits are obtained in a year, excluding cases of death, supposing that each couple gives birth to another couple every month and that the youngest couples are able to I've seen a few people ask about this project but I've mostly seen psuedocode from people. - Rabbits and Recurrence Relations [兔子与递推关系](FIB. Examples Input: 5Output: 5Ex Dec 2, 2016 · I've implemented a traditional fibonacci recursion related with the reproduction of a population of rabbits in python2. morai wiczey kswl azddiya xtj anag ruzfvp dczp brpeowkdu wscbd nlduje pfiaw dpb gyohm xxtex