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Commit 0ce15139 authored by Hanna Schilbert's avatar Hanna Schilbert
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%% Cell type:markdown id: tags:
# Python course 2023 - Exercises D
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## Part1 - writing files
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---
1.1) Read the file AtCol0_Exons.fasta and write all headers (starting with '>') into a new file!
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```
```
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---
1.2) Read the file AtCol0_Exons.fasta and write the following:
* Line if it is a header
* Length of line if it is a sequence line
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```
```
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---
1.3) Calculate the number of sequences, the cumulative length and the average length in a new file! Are they matching the values of the original file?
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```
```
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---
1.4) Write sequences into a new file if their length is a multiple of 10!
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```
```
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---
#Bonus tasks
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![image.png](data:image/png;base64,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)
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```
```
%% Cell type:markdown id: tags:
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)
%% Cell type:code id: tags:
```
```
%% Cell type:markdown id: tags:
![image.png](data:image/png;base64,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)
%% Cell type:code id: tags:
```
```
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