search-tree

How to functionally generate a tree breadth-first. (With Haskell)

半城伤御伤魂 提交于 2020-06-24 07:37:07
问题 Say I have the following Haskell tree type, where "State" is a simple wrapper: data Tree a = Branch (State a) [Tree a] | Leaf (State a) deriving (Eq, Show) I also have a function "expand :: Tree a -> Tree a" which takes a leaf node, and expands it into a branch, or takes a branch and returns it unaltered. This tree type represents an N-ary search-tree. Searching depth-first is a waste, as the search-space is obviously infinite, as I can easily keep on expanding the search-space with the use

Completeness of depth-first search

夙愿已清 提交于 2019-12-30 07:53:31
问题 I quote from Artificial Intelligence: A Modern Approach: The properties of depth-first search depend strongly on whether the graph-search or tree-search version is used. The graph-search version, which avoids repeated states and redundant paths, is complete in finite state spaces because it will eventually expand every node. The tree-search version, on the other hand, is not complete [...]. Depth-first tree search can be modified at no extra memory cost so that it checks new states against

Knight's Shortest Path on Chessboard

我们两清 提交于 2019-12-17 15:18:28
问题 I've been practicing for an upcoming programming competition and I have stumbled across a question that I am just completely bewildered at. However, I feel as though it's a concept I should learn now rather than cross my fingers that it never comes up. Basically, it deals with a knight piece on a chess board. You are given two inputs: starting location and ending location. The goal is to then calculate and print the shortest path that the knight can take to get to the target location. I've

algorithm - lookup tree with closest path prefix fallback

佐手、 提交于 2019-12-12 02:44:28
问题 I am after an algorithm for a problem where I maintain a tree structure on which I need to find the closest match for a data node. If no exact match, it falls back to the closest prefix. For example, if say I have the below structure, where the words (number in words) are the branches and the numbers with square brackets are data (leaf node); I am after an algorithm that would come back with the set of results as shown in table below. Please note that the path separator is ">" one - [1] /\

Completeness of depth-first search

情到浓时终转凉″ 提交于 2019-12-01 02:22:32
I quote from Artificial Intelligence: A Modern Approach : The properties of depth-first search depend strongly on whether the graph-search or tree-search version is used. The graph-search version, which avoids repeated states and redundant paths, is complete in finite state spaces because it will eventually expand every node. The tree-search version, on the other hand, is not complete [...]. Depth-first tree search can be modified at no extra memory cost so that it checks new states against those on the path from the root to the current node; this avoids infinite loops in finite state spaces

Knight's Shortest Path on Chessboard

一笑奈何 提交于 2019-11-27 16:38:21
I've been practicing for an upcoming programming competition and I have stumbled across a question that I am just completely bewildered at. However, I feel as though it's a concept I should learn now rather than cross my fingers that it never comes up. Basically, it deals with a knight piece on a chess board. You are given two inputs: starting location and ending location. The goal is to then calculate and print the shortest path that the knight can take to get to the target location. I've never dealt with shortest-path-esque things, and I don't even know where to start. What logic do I employ