今天总结一下广度优先搜索(BFS). BFS是树/图的遍历的常用算法之一, 对于没有边权重的图来说可以计算最短路径.
由于树的BFS只是图的BFS的一种特殊情况, 而 …

Here is a mindmap of the common algorithms and data structures, it can give an overview of the algorithmic terms.

I shall update its content later on. And maybe write some blog entries on some of the items.

This mindmap is drawn using xmind.

当年装mint 17.1的时候心想我的电脑有4GB内存怎么可能不够用, 于是果断没有分一个swap分区, 呵呵...

然后就看到chrome这几年来吃内存越来越严重, 导致我开多几个标签页再开eclipse的话电脑就很有可能直接卡死... 郁闷啊 ! 于是决定给系统增加一 …

python科学计算包的基础是numpy, 里面的array类型经常遇到. 一开始可能把这个array和python内建的列表(list)混淆, 这里简单总结一下列表(list), 多维数组(np.ndarray)和矩阵(np.matrix)的区别.

list列表

列表属于python的三种基本集合类型之一, 其他 …

Can we do better than BST if we do not need ordered operations ?

(No compare methods, use equals method)

Idea: save items in an array.
Hash function: method for calclulating the array index of a key.

Issues:

  • computing hash function
  • equality tests
  • collision resolution

Classic space-time tradeoff.

1. Hash Functions …

1. 1d Range Search

Goal: intersections of geometric objects.

Solution: BST

operations required:

  • insert
  • search
  • delete
  • range search: all keys between k1 and k2
  • range count: how many keys are between k1 and k2

→ find points on an interval

implementation by BST

range count
using the rank …

goal: lgN for insert/search/delete operations (not necessarily binary trees..)
3 algo: 2-3 tree, (left leaning) red-black tree, B-tree

1. 2-3 Search Trees

def. 2-3 tree

  • allow 1 or 2 keys per node, & 2 or 3 children per node:
    • 2-node: one key, 2 children (ordinary BST node)
    • 3-node: 2 …

(BST是锻炼递归代码的好题目)

1. Binary Search Trees

def. BST
A binary tree where each node has a key:
for every node, the key is larger than all nodes in left subtree, smaller than all nodes in right subtree.

Fields: key, val, left, right

Implementation

An inner class of BST nodes:

private class …