Write a function reconstruction that takes three arguments: i) an integer $$k$$ ($$k \geq 2$$), ii) the location of a FASTA file containing a collection of $$k$$-mers $$C_\text{DNA}$$ and iii) another file location. The function must write a DNA string with $$k$$-mer composition equal to $$C_\text{DNA}$$ to the FASTA file whose location is passed as the third argument. If multiple such DNA strings exist, the function may generate any one of these.

Example

In the following interactive session, we assume the FASTA files data01.fna¹ and output01.fna² to be located in the current directory.

>>> reconstruction(4, 'data01.fna', 'output01.fna')
>>> print(open('output01.fna').read().rstrip())
>seq01
GGCTTACCA