[Turn] algorithm and data structure--Introduction summary and self-study material recommendation

Source: Internet
Author: User

[Turn] algorithm and data structure--Introduction summary and self-study material recommendation

This article turns from (http://www.cnblogs.com/jiahuix/p/4868881.html)

First, the outline

Blog : Dong Xi , Vamei

Mind Mapping: http://pan.baidu.com/s/1gdCqW8r

Second, data structure data recommendation

Array : Find Fast O (1), insert delete slow o (n)

linked list : Find slow o (n), insert delete quick O (1)

block Linked list : Find insert Delete O (sqrt (n)); array + linked list;

Queue : FIFO

Stack : Advanced back out

dual-ended queues : The queue and Stack, with the head and tail Array, the first team tail can be added and deleted.

Hash Table :

  • Collection A to the collection B the mapping;
  • hash Function: MD5, SHA ;
  • Application: File comparison, password storage;
  • Collision Resolution: Open Hashing linked list; Closed hashing The array subscript moves to the empty space ( rehashing move to a larger new array) Hash Table

Bit-map : A bit represents a number, such as 10bit can represent 1~10 bitmap

Two fork Pile / Heap : Height is (lg^2) n, array data 2

Minimum heap: Each parent node is smaller than the child node

Dictionary Tree (prefix tree): Suitable for string retrieval, longest string public prefix, sort data by dictionary

Insert, find O (n): N is a string length, space O (26^n)

suffix tree : Suitable for complex string manipulation

suffix Tree Group : Suitable for complex string manipulation

two fork Find tree : The complexity of the additions and deletions is equal to the depth, the depth is n, the minimum is log (n)

The order of the sequence will degenerate into a linear table, the time of only one.

If the delete node has both left and right nodes at the time of deletion, replace it with the maximum value of the left subtree of the delete node or the minimum value of the child tree.

B - tree : Performance is always equal to two, there is no balance problem.

B + tree : Suitable for file indexing system, only hit on leaf node.

b* Tree : Increase the space utilization by increasing the sibling pointer on the B + tree basis

AVL : Balanced binary tree, depth of O (LGN), sub-tree depth difference not exceeding 1, single rotation and double rotation data

Minimum Depth Math.ceil (log (2) (n+1))

treap : Heap tree, performance is between ordinary binary tree and AVL

red and black trees : Statistical performance than AVL good data

splay Tree : Stretching the tree, each search will be rotated once, the search frequency of the nodes will be rotated to the root node. m - time Search complexity O (MLGN)

Segment Tree : Efficiently asking and modifying information about a range in a series

tree-like array : Tree arrays convert linear structures to pseudo-tree structures (linear structures can only scan elements individually, while tree-like structures allow for jumping scans), making the modification and summation complexity both O (LGN)

Figure : Representation of graphs: two-dimensional arrays, adjacency tables

and check Set : It is often used as a storage structure for another complex data structure or algorithm. Common applications are: the number of connected components for undirected graphs, the recent public ancestor (LCA), the job sequencing with restrictions, the implementation of the Kruskar algorithm to find the minimum spanning tree.

Third, the algorithm data recommendation

Basic thought: dynamic programming , pruning , backtracking method

Sort by: Quick Sort , merge sort , heap sort , bucket sort , seven sort comparison

string: KMP,KMP,KMP

Number theory: permutations and combinations


Traverse : Each node is checked for

First Order traversal: top, left, and right

Middle sequence traversal: Left, top, right

Post-post traversal: Left, right, top

Depth-First search DFS through the stack to achieve

Breadth First Search BFS through the queue to achieve

* images from the Web ~>_<~

[Turn] algorithm and data structure--Introduction summary and self-study material recommendation

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