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Mandarin Advanced Sorting Algorithm Advice

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I have raw Chinese mandarin vocabulary lists for HSK5 in the format below*. I want to sort these so that the individual characters alphabetized and sorted by frequency as below**

*

阿姨

a1yi2

a5

 

ai1

ai3

ai4

**

Char

Pinyin

Freq.

Ai1

1

Ai3

1

Ai4

11

Ai4

1

An1

7

An4

1

 

HSK5 has 2500 Chinese words to be learned all made up of one or more characters. I want them grouped in this way so i can learn them more easily using mnemonics. Any instruction as to what books to read or how to even begin writing the algorithm is welcome. i have no experience in writing algorithms but am willing to learn. 

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