哈夫曼树

构造方法

1、首先统计出每种字符出现的频率（概率）或权值
eg：（字符：权重）
A：60 B：45 C：13 D：69 E：14 F：5 G：3
2、找出字符中权重最小的两个，小的在左边，大的在右边，组成二叉树。
最小的是F和G，删除F和G，加入F和G的权重和

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FG:8

A：60 B：45 C：13 D：69 E：14 FG：8
3、重复第二步
最小的是FG和C，删除FG和C，加入FG和C的权重和

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FG:8

CFG:21

A：60 B：45 D：69 E：14 CFG：21
继续重复，删除CFG和E，加入CFG和E的权重和

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FG:8

CEFG:35

CFG:21

A：60 B：45 D：69 CEFG：35
继续重复，删除CEFG和B，加入CEFG和B的权重和

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FG:8

CEFG:35

BCEFG:80

CFG:21

A：60 D：69 BCEFG：80
继续重复，删除A和D，加入A和D的权重和

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FG:8

CEFG:35

BCEFG:80

CFG:21

AD:129

AD：129 BCEFG：80
继续重复，删除AD和BCEFG，加入root

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FG:8

CEFG:35

BCEFG:80

ROOT

CFG:21

AD:129

4、添加0和1，规则左0右1

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FG:8

CEFG:35

BCEFG:80

CFG:21

AD:129

ROOT

每个字符的二进制编码为从根节点数到对应的叶子节点，路径上的值拼接起来就是叶子节点字母的应该的编码

字符	编码
A	10
B	01
C	0011
D	11
E	000
F	00101
G	00100

那么当我想传送 ABC时，编码为 10 01 0011
出现频率越多的字母，他的编码越短，出现频率越少的字母，他的编码越长

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