Add license and bages, change urls

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mbinary 2019-01-31 12:09:46 +08:00
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DO WHAT THE FUCK YOU WANT TO PUBLIC LICENSE
Copyright (C) 2019 Heqin Zhu <zhuheqin1@gmail.com>
Everyone is permitted to copy and distribute verbatim or modified
copies of this license document, and changing it is allowed as long
as the name is changed.
DO WHAT THE FUCK YOU WANT TO PUBLIC LICENSE
TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION
0. You just DO WHAT THE FUCK YOU WANT TO.

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# Algorithm
# Algorithm and data structures
[![Stars](https://img.shields.io/github/stars/mbinary/algorithm-in-python.svg?label=Stars&style=social)](https://github.com/mbinary/algorithm-in-python/stargazers)
[![Forks](https://img.shields.io/github/forks/mbinary/algorithm-in-python.svg?label=Fork&style=social)](https://github.com/mbinary/algorithm-in-python/network/members)
[![repo-size](https://img.shields.io/github/repo-size/mbinary/algorithm-in-python.svg)]()
[![License](https://img.shields.io/badge/LICENSE-WTFPL-blue.svg)](LICENSE)
[![Language](https://img.shields.io/badge/language-python3-orange.svg)]()
<!-- [![Build](https://travis-ci.org/mbinary/PL0-compiler.svg?branch=master)]() -->
>Notes and codes for learning algorithm and data structures :smiley:
Some pictures and ideas are from `<<Introduction to Algotithm>>`
@ -7,10 +15,11 @@ Some pictures and ideas are from `<<Introduction to Algotithm>>`
I use python 3.6+ and c/c++ to implement them.
# Notice
Currently, Github can't render latex math formulas.Thus,if you want to view the markodwn notes which contain latex math formulas, you can visit [my blog](https://mbinary.coding.me)
Currently, Github can't render latex math formulas.Thus,if you want to view the markodwn notes which contain latex math formulas, you can visit [my blog](https://mbinary.xyz)
# Index
* [.](.)
* [LICENSE](./LICENSE)
* [README.md](./README.md)
* [backtracking](./backtracking)
* [dataStructure](./dataStructure)
@ -74,6 +83,7 @@ Currently, Github can't render latex math formulas.Thus,if you want to view the
* [binary_search.hs](./search/binary_search.hs)
* [bloomFilter.py](./search/bloomFilter.py)
* [schedule.py](./search/schedule.py)
* [work_dispatch.py](./search/work_dispatch.py)
* [sort](./sort)
* [binaryTree.py](./sort/binaryTree.py)
* [heapSort.py](./sort/heapSort.py)
@ -88,6 +98,7 @@ Currently, Github can't render latex math formulas.Thus,if you want to view the
* [manacher.py](./string/manacher.py)
* [markov.py](./string/markov.py)
* [rabin_karp.py](./string/rabin_karp.py)
* [rotate.py](./string/rotate.py)
* [src](./string/src)
* [sunday.py](./string/sunday.py)
* [wildcard_matching.py](./string/wildcard_matching.py)

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# File : allOoneDS.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-05-19 23:07
# Description:

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# File : testAllOne.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-05-19 23:07
# Description:

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# File : bTree.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-08-29 12:49
# Description:

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# File : binaryHeap.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-05-19 23:06
# Description:

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# File : binaryTree.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-05-19 23:07
# Description:

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# File : adjacentList.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-04-26 10:33
# Description:

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# File : directed.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-04-26 10:33
# Description:

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# File : graph.cc
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-04-26 10:33
# Description:

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# File : undirected.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-04-26 10:33
# Description:

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# File : hashTable.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-07-08 16:39
# Description:

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# File : huffman.cc
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-04-25 22:32
# Description:

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# File : intervalTree.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-11-18 10:48
# Description:

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# File : leftHeap.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-05-19 23:06
# Description:

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# File : loserTree.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-05-19 23:06
# Description:

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# File : map.cc
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-04-26 10:33
# Description:

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# File : polynomial.cpp
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-05-19 23:07
# Description:

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# File : polynomial.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-05-19 23:07
# Description:

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# File : redBlackTree.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-07-14 16:15
# Description:

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# File : redBlackTree.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-07-14 16:15
# Description:

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# File : splayTree.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-05-19 23:06
# Description:

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# File : mapSum.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-12-14 23:11
# Description:

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# File : maxXor.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-12-22 09:51
# Description:

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# File : trie.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-05-19 23:06
# Description:

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# File : accountsMerge.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-12-18 17:07
# Description:

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# File : unionFind.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-12-18 14:53
# Description:

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# File : winnerTree.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-05-19 23:06
# Description:

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# File : min_distance_of_n_points.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-11-24 22:03
# Description:

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# 算法笔记
>注意, 目前 github 上的文档不支持 latex 数学公式渲染
所以如果想有较好的阅读体验, 可以移步到[我的博客](https://mbinary.coding.me)
所以如果想有较好的阅读体验, 可以移步到[我的博客](https://mbinary.xyz)
# 索引
* [.](.)

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性质:
$h\leq \left\lfloor \log _{d}\left({\frac {n+1}{2}}\right)\right\rfloor .$
如下是 度为2的 B 树, 每个结点可能有2,3或4 个孩子, 所以也叫 2,3,4树, 等价于[红黑树](https://mbinary.coding.me/red-black-tree.html#more)
如下是 度为2的 B 树, 每个结点可能有2,3或4 个孩子, 所以也叫 2,3,4树, 等价于[红黑树](https://mbinary.xyz/red-black-tree.html#more)
![](https://upload-images.jianshu.io/upload_images/7130568-30342360fb9674b4.png?imageMogr2/auto-orient/strip%7CimageView2/2/w/1240)
<a id="markdown-3-查找操作" name="3-查找操作"></a>

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<a id="markdown-13-树" name="13-树"></a>
## 1.3. 树
无圈连通图, $E = V-1$, 详细见[树](https://mbinary.coding.me/tree.html),
无圈连通图, $E = V-1$, 详细见[树](https://mbinary.xyz/tree.html),
<a id="markdown-2-搜索" name="2-搜索"></a>
# 2. 搜索
@ -196,7 +196,7 @@ while not que.isempty():
* 设置结点的 minAdjEdge, 需要$O(lgv)$, 循环 E 次,则 总共$O(ElgV)$
综上, 时间复杂度为$O(ElgV)$
如果使用的是 [斐波那契堆](https://mbinary.coding.me/fib-heap.html), 则可改进到 $O(E+VlgV)$
如果使用的是 [斐波那契堆](https://mbinary.xyz/fib-heap.html), 则可改进到 $O(E+VlgV)$
<a id="markdown-4-单源最短路" name="4-单源最短路"></a>
# 4. 单源最短路

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# File : redBlackTree.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-07-14 16:15
# Description:

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<a id="markdown-54-treap" name="54-treap"></a>
## 5.4. treap
[前面提到](#21-随机构造的二叉查找树), 随机构造的二叉查找树高度为 $h=O(logn)$,以及在[算法 general](https://mbinary.coding.me/alg-genral.html) 中说明了怎样 随机化(shuffle)一个给定的序列.
[前面提到](#21-随机构造的二叉查找树), 随机构造的二叉查找树高度为 $h=O(logn)$,以及在[算法 general](https://mbinary.xyz/alg-genral.html) 中说明了怎样 随机化(shuffle)一个给定的序列.
所以,为了得到一个平衡的二叉排序树,我们可以将给定的序列随机化, 然后再进行构造二叉排序树.

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# File : lcs.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-08-25 12:00
# Description:

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# File : matrixChainMultiply.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-11-05 19:09
# Description:

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# File : splitStripe.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-08-24 17:07
# Description:

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# File : stoneGame.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-12-14 14:32
# Description:

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# File : wildcard_matching.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-12-13 22:46
# Description:

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# File : isBipartGraph.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-12-21 15:00
# Description: Judge if a graph is bipartite

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# Number Theory
>See more details on [my blog](https://mbinary.coding.me/number-theory.html)
>See more details on [my blog](https://mbinary.xyz/number-theory.html)
## gcd.py
- gcd(a,b)

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# File : num_weight.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-05-19 21:36
# Description:

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# File : fastPow.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-12-17 21:39
# Description: fast power

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# File : euler.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-12-16 10:53
# Description:

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# File : factorize.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-12-16 09:36
# Description: factorization, using pollard's rho algorithm and miller-rabin primality test

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# File : gcd.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-12-16 10:06
# Description:

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# File : hammingDistance.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-12-17 17:36
# Description:

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# File : isPrime.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-03-04 21:34
# Description:

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# File : modulo_equation.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-3-4 21:14
# Description:

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# File : interplotion.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-10-02 21:14
# Description:
@ -14,7 +14,7 @@
# File : interplotion.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.github.io
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-05-18 09:29
# Description: 插值计算,有牛顿插值,拉格朗日插值,以及通过插值得到的多项式估计新的函数值

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# File : iteration.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-10-02 21:14
# Description:

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# File : least_square.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-10-02 21:14
# Description:
@ -15,7 +15,7 @@
> Author: mbinary
> Mail: zhuheqin1@gmail.com
> Created Time: Sat 07 Apr 2018 09:55:25 PM DST
> Blog: https://mbinary.github.io
> Blog: https://mbinary.xyz
> Description: 最小二乘法解线性方程组, 解矛盾方程组
************************************************************************'''

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# File : linear_equation.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-10-02 21:14
# Description:
@ -15,7 +15,7 @@
> File Name: doolittle.py
> Author: mbinary
> Mail: zhuheqin1@gmail.com
> Blog: https://mbinary.github.io
> Blog: https://mbinary.xyz
> Created Time: 2018-04-20 08:32
************************************************************************'''

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# File : numerical_differential.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-10-02 21:14
# Description:

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# File : numerical_integration.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-10-02 21:14
# Description:
@ -15,7 +15,7 @@
# File : numerical integration.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.github.io
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-05-11 08:58
# Description:

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# File : solve-linear-by-iteration.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-10-02 21:14
# Description:
@ -15,7 +15,7 @@
# File : solve-linear-by-iteration.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.github.io
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-05-04 07:42
# Description:

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# File : vector_norm.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-10-02 21:14
# Description:

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# File : permute_back_track.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-11-25 12:32
# Description:

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@ -3,7 +3,7 @@
# File : permute_cantor.c
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-11-17 11:25
# Description:

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@ -3,7 +3,7 @@
# File : permute_divide_and_conquer.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-11-25 12:23
# Description:

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@ -3,7 +3,7 @@
# File : permute_next_permutation.c
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-11-17 14:31
# Description: support duplicate values.

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@ -3,7 +3,7 @@
# File : 8Astar.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-05-19 23:06
# Description:

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@ -3,7 +3,7 @@
# File : BFS_knight.hs
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-11-11 19:40
# Description:

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@ -3,7 +3,7 @@
# File : bloomFilter.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-10-17 11:19
# Description:

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@ -3,7 +3,7 @@
# File : schedule.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-11-30 12:00
# Description:

37
search/work_dispatch.py Normal file
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@ -0,0 +1,37 @@
'''
设有n件工作要分配给n个人去完成将工作i分配给第j个人所需费用为c_ij 试设计一个算法为每个人分配1件不同的工作并使总费用达到最小
'''
def dispatch(mat):
'''mat: matrix of c_ij'''
def _util(i,arrange,cost):
''' for i-th work'''
nonlocal total,used,rst
if i==n:
total=cost
rst = arrange.copy() # copy is needed
else:
for j in range(n):
if not used[j] and( total is None or cost+mat[i][j]<total):
used[j]=True
arrange[i] = j
_util(i+1,arrange,cost+mat[i][j])
used[j]=False
total = None
rst = None
n = len(mat)
used = [False for i in range(n)]
_util(0,[-1]*n,0)
return total,rst
import random
if __name__=='__main__':
n = 10
mat = [[random.randint(1,100) for i in range(n)] for i in range(n)]
print('work matrix: c_ij: work_i and person_j')
for i in range(n):
print(mat[i])
print('result: ',end='')
print(dispatch(mat))

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@ -3,7 +3,7 @@
# File : sort.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-07-05 17:18
# Description:

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@ -3,7 +3,7 @@
# File : heapSort.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-07-05 16:24
# Description:

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@ -3,7 +3,7 @@
# File : quickSort.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-07-06 10:31
# Description:

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@ -3,7 +3,7 @@
# File : radixSort.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-07-06 15:52
# Description:

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@ -3,7 +3,7 @@
# File : select.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-07-06 17:13
# Description:

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@ -3,7 +3,7 @@
# File : shellSort.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-07-06 16:30
# Description:

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@ -4,7 +4,7 @@
# File : KMP.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-12-11 14:02
# Description:

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@ -3,7 +3,7 @@
# File : manacher.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-07-06 15:56
# Description:

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@ -3,7 +3,7 @@
# File : markov.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-07-06 15:57
# Description:

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@ -4,7 +4,7 @@
# File : rabin_karp.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-12-11 00:01
# Description: rabin-karp algorithm

112
string/rotate.py Normal file
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@ -0,0 +1,112 @@
''' mbinary
#########################################################################
# File : rotate.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-05-19 21:54
# Description: three methods of rotating a list
1. 利用 ba=(br)^T(ar)^T=(arbr)^T通过三次反转字符串: 即首先对序列前部分逆序再对序列后部分逆序再对整个序列全部逆序
2. 分组交换(尽可能使数组的前面连续几个数为所要结果):a长度大于b ab 分成 a0a1b交换 a0 b ba1a0只需再交换 a1和 a0 a 长度小于 b ab 分成 ab0b1交换 a b0 b0ab1只需再交换 a 和b0通过不断将数组划分和交换直到不能再划分为止分组过程与求最大公约数很相似
3.所有序号为 (j+i*m) % n (j 表示每个循环链起始位置i 为计数变量m 表示左旋转位数n 表示字符串长度)会构成一个循环链共有 gcd(n,m)gcd nm 的最大公约数每个循环链上的元素只要移动一个位置即可最后整个过程总共交换了 n 每一次循环链是交换 n/gcd(n,m)总共 gcd(n,m)个循环链所以总共交换 n
#########################################################################
'''
def rotate(s,k,right=False):
def reverse(a,b):
while a<b:
s[a],s[b]=s[b],s[a]
a+=1
b-=1
n=len(s)
k = k%n if not right else n-k%n
reverse(0,k-1)
reverse(k,n-1)
reverse(0,n-1)
return s
def rotate2(s,k,right=False):
def swap(a,b,c):
for i in range(c):
s[a+i],s[b+i] = s[b+i],s[a+i]
def _rot(pl,pr):
''' swap s[pl,pr) , s[pr:]'''
if pr==n:return
if pr-pl<=n-pr:
swap(pl,pr,pr-pl)
_rot(pr,2*pr-pl)
else:
swap(pl,pr,n-pr)
_rot(n-pr+pl,pr)
n=len(s)
k = k%n if not right else n-k%n
_rot(0,k)
return s
def rotate3(s,k,right=False):
def gcd(a,b):
if b==0:return a
return gcd(b,a%b)
n=len(s)
k = k%n if not right else n-k%n
r=gcd(n,k)
for i in range(r):
tmp = s[i]
j = (i+k)%n
while j!=i:
s[j-k] = s[j]
j = (j+k)%n
s[(j-k+n)%n] = tmp
return s
def test():
def f(func,*args,right=False):
print(' '.join(['testing:',func.__name__,str(args),'right=',str(right)]))
rst = func(*args,right=right)
print('result',rst)
print()
return f
if __name__=='__main__':
s=[i for i in range(10)]
tester= test()
tester(rotate,s,4,right=True)
tester(rotate,s,4)
tester(rotate2,s,2,right=True)
tester(rotate2,s,2)
tester(rotate3,s,132,right=True)
tester(rotate3,s,132)
'''
testing: rotate ([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 4) right= True
result [6, 7, 8, 9, 0, 1, 2, 3, 4, 5]
testing: rotate ([6, 7, 8, 9, 0, 1, 2, 3, 4, 5], 4) right= False
result [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
testing: rotate2 ([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 2) right= True
result [8, 9, 0, 1, 2, 3, 4, 5, 6, 7]
testing: rotate2 ([8, 9, 0, 1, 2, 3, 4, 5, 6, 7], 2) right= False
result [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
testing: rotate3 ([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 132) right= True
result [8, 9, 0, 1, 2, 3, 4, 5, 6, 7]
testing: rotate3 ([8, 9, 0, 1, 2, 3, 4, 5, 6, 7], 132) right= False
result [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
'''

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@ -3,7 +3,7 @@
# File : sunday.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-07-11 15:26
# Description: 字符串模式匹配, sunday 算法, kmp 的改进

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@ -4,7 +4,7 @@
# File : wildcard_matching.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-12-13 22:46
# Description:

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@ -1,5 +1,13 @@
README = r'''
# Algorithm
# Algorithm and data structures
[![Stars](https://img.shields.io/github/stars/mbinary/algorithm-in-python.svg?label=Stars&style=social)](https://github.com/mbinary/algorithm-in-python/stargazers)
[![Forks](https://img.shields.io/github/forks/mbinary/algorithm-in-python.svg?label=Fork&style=social)](https://github.com/mbinary/algorithm-in-python/network/members)
[![repo-size](https://img.shields.io/github/repo-size/mbinary/algorithm-in-python.svg)]()
[![License](https://img.shields.io/badge/LICENSE-WTFPL-blue.svg)](LICENSE)
[![Language](https://img.shields.io/badge/language-python3-orange.svg)]()
<!-- [![Build](https://travis-ci.org/mbinary/PL0-compiler.svg?branch=master)]() -->
>Notes and codes for learning algorithm and data structures :smiley:
Some pictures and ideas are from `<<Introduction to Algotithm>>`
@ -7,7 +15,7 @@ Some pictures and ideas are from `<<Introduction to Algotithm>>`
I use python 3.6+ and c/c++ to implement them.
# Notice
Currently, Github can't render latex math formulas.Thus,if you want to view the markodwn notes which contain latex math formulas, you can visit [my blog](https://mbinary.coding.me)
Currently, Github can't render latex math formulas.Thus,if you want to view the markodwn notes which contain latex math formulas, you can visit [my blog](https://mbinary.xyz)
# Index
{index}
@ -18,7 +26,7 @@ HEAD = '''{begin} mbinary
# File : {name}
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: {ctime}
# Description:

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@ -3,7 +3,7 @@
# File : genReadme.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-12-11 15:53
# Description:
@ -17,7 +17,7 @@ from config import README
parser = ArgumentParser()
parser.add_argument('-p','--path',default='.',help='path to walk')
parser.add_argument('-f','--fileinclude',action='store_true',help='if has, list files and dirs, else only dirs')
parser.add_argument('-f','--fileinclude',action='store_true',default=True,help='if has, list files and dirs, else only dirs')
parser.add_argument('-d','--depth', type = int, default = 2)
#获取参数
args = parser.parse_args()

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@ -3,7 +3,7 @@
# File : headInfo.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-07-08 14:48
# Description:

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@ -3,7 +3,7 @@
# File : tree.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.coding.me
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-12-11 15:56
# Description: