python实现鸡兔同笼源码.zip_已知鸡和兔的总数量为n,总腿数为m。输入n和m,依次输出集合兔的数目。如果无资源-CSDN文库

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"鸡兔同笼"是中国古代数学中的一个经典问题，它源于《孙子算经》。问题的基本情境是：在一个封闭的笼子里，有若干只鸡和兔子，只能看到它们的头和脚，要求根据头和脚的数量来求解鸡和兔子各有多少只。鸡有1个头和2只脚，兔子有1个头和4只脚。在Python编程中，解决这个问题通常采用穷举法或者二元一次方程组求解。这个名为`ChickenRabbitCage.py`的源码文件就是用Python实现的鸡兔同笼问题的解决方案。下面我们将详细探讨如何用Python来解决这个问题。我们需要定义一个函数，接受头的数量（heads）和脚的数量（feet）作为参数。由于鸡和兔子的数量都是非负整数，我们可以使用两个循环，分别遍历所有可能的鸡的数量（0到heads）和兔子的数量（0到heads），并检查每种组合下的脚数是否与给定的脚数相匹配。 ```python def chicken_rabbit_cage(heads, feet): for chickens in range(heads + 1): for rabbits in range(heads + 1): if (chickens + rabbits == heads) and (2 * chickens + 4 * rabbits == feet): return chickens, rabbits return "No solution found" ``` 在这个函数中，我们首先通过`for`循环遍历所有可能的鸡的数量，然后在内部的循环中遍历所有可能的兔子数量。如果当前的鸡和兔子数量组合下，头的总数和脚的总数都符合题目要求，就返回这个解。如果遍历完所有组合都没有找到符合条件的答案，则返回"No solution found"。例如，如果题目给出的头数是10，脚数是26，我们可以调用`chicken_rabbit_cage(10, 26)`，函数会返回`(6, 4)`，表示有6只鸡和4只兔子。此外，为了提高代码的可读性和用户体验，我们还可以将函数封装到一个类中，创建一个简单的命令行界面，让用户输入头和脚的数量，然后打印出答案： ```python class CageSolver: def __init__(self): self.heads = int(input("请输入头的数量：")) self.feet = int(input("请输入脚的数量：")) def solve(self): result = chicken_rabbit_cage(self.heads, self.feet) if isinstance(result, tuple): print(f"鸡有{result[0]}只，兔子有{result[1]}只。") else: print(result) if __name__ == "__main__": solver = CageSolver() solver.solve() ``` 这段代码首先定义了一个名为`CageSolver`的类，初始化时获取用户输入的头和脚的数量。然后定义了一个`solve`方法，调用之前定义的`chicken_rabbit_cage`函数，并输出结果。我们在`__main__`函数中创建`CageSolver`的实例并调用其`solve`方法，使得程序可以直接运行。这就是Python实现鸡兔同笼问题的基本思路。通过这样的实现，我们可以轻松地处理各种不同的鸡兔同笼问题，提供了一种直观且易于理解的解决方案。

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python实现鸡兔同笼源码.zip （1个子文件）

ChickenRabbitCage.py 4KB

# coding:utf-8 """ P.S. : The translation is not accurate! Chicken rabbit cages are one of the mathematical problems of ancient China. About 1500 years ago, this interesting question was recorded <Sun Tzu Arithmetic>[1]. The book goes translated into English like this[2]: Now there are chickens and rabbits in the same cage, with thirty-five heads on top and ninety-four feet on the bottom, ask how many chickens and rabbits there are? ------------------------------------------------------------------------------- [1]: <Sun Tzu Arithmetic> The name of the book is translated as Chinese is 《孙子算经》(Sun Zi Suan Jing) [2]: The original text is as follows: 今有雉兔同笼， Now there are chickens and rabbits in the same cage, 上有三十五头， with thirty-five heads on top 下有九十四足， and ninety-four feet on the bottom, 问雉兔各几何？ ask how many chickens and rabbits there are? """ class NumberError(Exception): """ Chickens' num / rabbits' num isn't positive number. """ def __init__(self, *args, **kwargs): pass def Chicken_rabbit_cages_1(feet: int, heads: int, chicken_feet: int, rabbit_feet: int, chicken: str = "chicken", rabbit: str = "rabbit" ) -> dict: """ Chicken rabbit cages(ordinary). :param feet: The number of heads in total. :param heads: The number of heads in total. :param chicken_feet: Each chicken has a few feet. :param rabbit_feet: Each rabbit has a few feet. :param chicken: "chicken" 's name. :param rabbit: "rabbit" 's name. :return: results -> dict """ if rabbit_feet < chicken_feet: raise ValueError("'chicken_feet' is greater than 'rabbit_feet'") results = {chicken: None, rabbit: int((feet - heads * chicken_feet) / (rabbit_feet - chicken_feet))} results[chicken] = heads - results[rabbit] if results[chicken] <= 0: raise NumberError(f"{chicken}'s num isn't positive number.") if results[rabbit] <= 0: raise NumberError(f"{rabbit}'s num isn't positive number.") return results def Chicken_rabbit_cages_2(score: int, number_of_questions: int, answer_the_score_correctly: int or float, answer_the_wrong_score_value: int or float, correctly: str = "correctly", wrong: str = "wrong", ) -> dict: """ Chicken rabbit cages("answer_the_wrong_score_value" is positive number). :param score: The number of score in total. :param number_of_questions: The number of questions in total. :param answer_the_score_correctly: The score of the question that is answered correctly. :param answer_the_wrong_score_value: The score of the question that is answered incorrect (deducted score). :param correctly: "correctly" 's name. :param wrong: "wrong" 's name. :return: results -> dict """ if str(answer_the_wrong_score_value)[0] != "-": raise ValueError("'answer_the_wrong_score_value' is positive number.") if answer_the_score_correctly < answer_the_wrong_score_value: raise ValueError("'answer_the_score_correctly' is greater than 'answer_the_wrong_score_value'") results = {correctly:None, wrong: int( (number_of_questions * answer_the_score_correctly - score) / (answer_the_score_correctly - answer_the_wrong_score_value) ) } results[correctly] = number_of_questions - results[wrong] if results[correctly] <= 0: raise NumberError(f"{correctly}'s num isn't positive number.") if results[wrong] <= 0: raise NumberError(f"{wrong}'s num isn't positive number.") return results if __name__ == "__main__": r = Chicken_rabbit_cages_1(94, 35, 2, 4) print(r) r = Chicken_rabbit_cages_2(64, 8, 10, -6) print(r)

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