地图树的最佳数据结构是什么

发布于 2024-10-04 06:45:18 字数 585 浏览 6 评论 0原文

我正在寻找一种数据结构,它基本上是一棵地图树,其中每个节点的地图都包含一些新元素,以及其父节点地图中的元素。这里的映射是指带有键和值的编程映射,例如 STL 中的映射或 Python 中的 dict。

例如,可能有一个根节点:

root = {'car':1, 'boat':2}

和 2 个子节点,每个子节点都向父映射添加一个元素,

child1 = {'car':1, 'boat':2, 'jet':35}
child2 = {'car':1, 'boat':2, 'scooter':-5}

然后我将在节点上执行搜索。例如,child1['jet'] 返回 35,但 root['jet'] 返回未找到错误。

我希望它尽可能节省空间,即我不想在每个节点存储结果映射的完整副本,但理想情况下查找仍然是 O(log N),N 是节点上的元素,而不是整个树。

我在想也许可以使用一个智能哈希函数来实现此目的,但无法想出任何东西。

最简单的方法是将新添加的条目存储在每个节点的映射中,如果没有找到任何内容,则向上移动树。我不喜欢这个,因为它取决于树的深度。

I'm looking for a data structure, that is basically a tree of maps, where the map at each node contains some new elements, as well as the elements in its parent node's map. By map here I mean a programming map with keys and values, like map in the STL or dict in python.

For example, there might be a root node:

root = {'car':1, 'boat':2}

and 2 children, each adding an element to the parent map

child1 = {'car':1, 'boat':2, 'jet':35}
child2 = {'car':1, 'boat':2, 'scooter':-5}

My searches will then be performed on the nodes. So for example child1['jet'] returns 35, but root['jet'] returns a not found error.

I would like this to be as space efficient as possible, ie i don't want to store a complete copy of the resulting map at each node, but ideally the lookup would still be O(log N), N being the total number of elements at the node, not the entire tree.

I was thinking perhaps there is a smart hash function I might use for this, but couldn't come up with anything.

The naive approach would be storing the newly added entries in a map at each node and then move up the tree if nothing is found. I don't like this because it depends on the tree depth.

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评论(2

不如归去 2024-10-11 06:45:18

如何创建一个比较哈希图的函数,无论它们是否匹配,它都会返回 true 或 false,这可能是键和值对排序的一个有点棘手的原因。

然后,每当您向树添加新节点(映射)时,请使用此函数。检查树中所有现有的节点,如果哈希图已经存在,则让它指向该节点。

这可能需要大量处理来比较哈希图,但这将节省大部分空间。

希望这有帮助。

编辑:您也许可以在地图上进行并集,看看结果是否具有相同的长度以进行比较。

How about creating a function that will compare hashmaps, it will return true or false whether they match, this might be a bit tricky cause of ordering of the key and value pairs.

Then use this function whenever you are adding a new node (map) to the tree. Check all the existing nodes in the tree and if the hashmap already exists, just have it point to that one.

This can require a lot of processing for comparing hashmaps but this will conserve most space.

Hope this helps.

edit: You may be able to do a Union on the maps and see if the result is the same length for comparison.

明天过后 2024-10-11 06:45:18

据我所知,您正在寻找 'jet' ,这将为您提供 child1 的整个列表。

您的主要数据将是一棵树。您将保留对该级别所有数据的引用(例如 'jet':35,以及指向父级的指针。

该引用将通过另一个哈希结构。这将映射键 ( 'jet') 到指向树的指针,

map['jet']  =>  {'jet':35, parent:root}

然后可以将其扩展为

map['jet']  =>  {'car':1, 'boat':2, 'jet':35}

alt text

What I understand is that you are looking for 'jet' and that will get you the entire list of child1.

Your primary data will be a tree. You will keep a reference to all data at that level (eg 'jet':35, as well as a pointer to the parent.

The reference will be through another hash structure. This will map the key ('jet') to a pointer to the tree.

map['jet']  =>  {'jet':35, parent:root}

Which can then be expanded to

map['jet']  =>  {'car':1, 'boat':2, 'jet':35}

alt text

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