In sequencing DNA, technicians break up long molecules into
smaller pieces because it is easier to sequence small segments
than long ones. They must then reconstruct the target molecule
by fitting the small segments together using overlaps as a guide.
The small segments are sequenced beginning at either end in a
random fashion. So, for example, the segment ATACAG may also
be sequenced as GACATA.
In this puzzle, I have chopped up many identical 50-long sequences
into pieces of lengths 5, 6, 7, and 8. 30 of these pieces are:
I have insured that these 30 pieces completely cover the 50-long
sequence with which I started. Can you find that sequence?
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