解决UVA 872问题的排序算法探究

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资源摘要信息:"该资源包含了算法问题的解决方案,涉及到的算法题目是uva 872。这是一个典型的字符串处理和排序问题,需要编写一个程序,来解决通过输入一组字母及其大小关系,输出所有可能的字母排序序列。具体而言,该程序要求接受一组字母和它们之间的大小关系作为输入,然后输出所有可能的字母顺序序列,这些序列中的每个字母都遵循输入中给定的大小关系。" 知识点: 1. 字符串处理: 程序需要处理输入的字符串,通常涉及到对字符串的读取、存储、修改等操作。字符串处理是编程中的一项基础技能,它在各种编程语言中都有广泛的应用。 2. 数据结构: 为了存储和检索字母及其大小关系,可能需要使用合适的数据结构,如数组、链表、树、图等。在这个问题中,可能需要一个图数据结构来表示字母之间的大小关系。 3. 排序算法: 输出所有可能的字母序列本质上是一种对元素进行排序的问题。了解和实现各种排序算法,如冒泡排序、选择排序、插入排序、快速排序、归并排序等,是解决这类问题的关键。 4. 递归编程: 由于问题要求输出所有可能的字母序列,因此程序可能需要使用递归的方式来实现。递归是一种强大的编程技术,它允许函数调用自身来解决问题的子问题。 5. 回溯算法: 在寻找所有可能的排序序列时,回溯算法是一个非常有用的工具。回溯算法可以看作是一种试错法,它尝试在每一步都做出一个选择,并且在发现当前选择不是一个好的选择时,会“回溯”到上一步,尝试其他的选择。 6. 图论基础: 由于字母之间存在大小关系,它们之间的关系可以用一个有向图来表示,其中节点代表字母,边代表大小关系。理解图论中的基本概念,如图的表示方法、遍历算法等,对于解决这类问题至关重要。 7. C++编程: 压缩包子文件的文件名称列表表明该程序使用C++语言编写。C++是一种高效的编程语言,广泛用于系统编程、游戏开发、高性能应用等领域。掌握C++语言,特别是其面向对象的特性、STL(标准模板库)等,是编写此类程序的基础。 8. 文件输入输出操作: 程序需要从文件中读取输入,并将输出结果写入到文件中。熟悉C++中的文件流(如ifstream和ofstream)类,是完成这些任务的前提。 该资源描述了一个具体的算法问题,它要求解决者使用编程技能来实现一个功能。通过解决这个问题,可以加深对字符串处理、图论、排序算法、递归和回溯算法的理解和应用。这对于培养编程和算法设计能力是非常有帮助的。同时,这个问题的解决也有助于加强C++编程语言的实际应用能力。

## Problem 5: Remainder Generator Like functions, generators can also be higher-order. For this problem, we will be writing `remainders_generator`, which yields a series of generator objects. `remainders_generator` takes in an integer `m`, and yields `m` different generators. The first generator is a generator of multiples of `m`, i.e. numbers where the remainder is 0. The second is a generator of natural numbers with remainder 1 when divided by `m`. The last generator yields natural numbers with remainder `m - 1` when divided by `m`. Note that different generators should not influence each other. > Hint: Consider defining an inner generator function. Each yielded generator varies only in that the elements of each generator have a particular remainder when divided by m. What does that tell you about the argument(s) that the inner function should take in? ```python def remainders_generator(m): """ Yields m generators. The ith yielded generator yields natural numbers whose remainder is i when divided by m. >>> import types >>> [isinstance(gen, types.GeneratorType) for gen in remainders_generator(5)] [True, True, True, True, True] >>> remainders_four = remainders_generator(4) >>> for i in range(4): ... print("First 3 natural numbers with remainder {0} when divided by 4:".format(i)) ... gen = next(remainders_four) ... for _ in range(3): ... print(next(gen)) First 3 natural numbers with remainder 0 when divided by 4: 4 8 12 First 3 natural numbers with remainder 1 when divided by 4: 1 5 9 First 3 natural numbers with remainder 2 when divided by 4: 2 6 10 First 3 natural numbers with remainder 3 when divided by 4: 3 7 11 """ "*** YOUR CODE HERE ***" ``` Note that if you have implemented this correctly, each of the generators yielded by `remainder_generator` will be infinite - you can keep calling next on them forever without running into a `StopIteration` exception.

2023-06-01 上传

不使用LINQ查询和操作集合 改进代码 namespace SandwichCalories { class Program { static void Main(string[] args) { // sandwich ingredients and their associated calories Dictionary<string, int> ingredients = new Dictionary<string, int>() { { "Bread", 100 }, { "Ham", 150 }, { "Lettuce", 10 }, { "Tomato", 20 }, { "Mayonnaise", 50 }, { "Cheese", 120 } }; // prompt user for calorie range Console.Write("Enter minimum calories: "); int min_calories = int.Parse(Console.ReadLine()); Console.Write("Enter maximum calories: "); int max_calories = int.Parse(Console.ReadLine()); // calculate the minimum and maximum calories for the sandwich int min_sandwich_calories = 2 * ingredients["Bread"] + ingredients.Values.Min() * 2; int max_sandwich_calories = 2 * ingredients["Bread"] + ingredients.Values.Max() * 2; // check if the calorie range is valid if (max_calories < min_sandwich_calories) { Console.WriteLine("Sorry, it is impossible to create a sandwich within the given calorie range."); } else { // create the sandwich List<string> sandwich = new List<string> { "Bread", "Bread" }; int sandwich_calories = 2 * ingredients["Bread"]; while (sandwich_calories < min_calories) { // add random ingredient string ingredient = ingredients.Keys.ElementAt(new Random().Next(ingredients.Count)); sandwich.Add(ingredient); sandwich_calories += ingredients[ingredient]; } while (sandwich_calories <= max_calories) { // add random ingredient string ingredient = ingredients.Keys.ElementAt(new Random().Next(ingredients.Count)); // check if the ingredient is the same as the previous one if (sandwich.Count >= 3 && ingredient == sandwich[sandwich.Count - 2]) { continue; } sandwich.Add(ingredient); sandwich_calories += ingredients[ingredient]; // check if the sandwich is already at the maximum calorie limit if (sandwich_calories == max_sandwich_calories) { break; } } // add the last slice of bread sandwich.Add("Bread"); // print the sandwich and its total calories Console.WriteLine("Your sandwich: " + string.Join(", ", sandwich)); Console.WriteLine("Total calories: " + sandwich_calories); } } } }

2023-06-10 上传
2023-05-28 上传