This is Challenge 003R in the series on Genome DNA Sequencing. Challenge 3R includes flipped segments. DNA Sequencing is naively simplified into Cody Challenges. Genome sizes is another interesting wiki page.

DNA is represented by symbols ACGT, which for Matlab will be encoded as 0123. The basic goal is to reconstruct the original serial string of ACGT given multiple short segments.

Example: Genome = ACGTCGGCCATGGACATTACG

Given three overlapping pieces, ACGTCGGCCA, GCCATGGACATC, and GACATTACG these can be readily seen to overlap and create the original if the middle is recognized as being reversed with asymetric overlaps to its adjacent segments.

ACGTCGGCCATGGACATTACG
ACGTCGGCCAsssssssssss
ssssGCCATGGACATCsssss Middle Rev
ssssCTACAGGTACCGsssss Middle flipped
ssssssssssssGACATTACG

Genome_003R Challenge is to reconstruct a genome under near ideal error free segment creation conditions. Segments may be reversed. The segments start at random locations.

1. Segments may be reversed (Change from 003)
2. Segments start at random positions
3. Genome length is unconstrained
4. Length of each segment - 48
5. All segments may overlap by 16 to 47 characters
6. No errors in the segments
7. Genome is random (No duplicate starts or ends for 16 symbols of segments)
8. Segment order is scrambled

Input: segs, Array of M rows of 48 value segments. Values are [0, 1, 2, 3].

Output: Gout, Genome vector of values [0,1,2,3]

Example: [0 1 2 3 2;1 1 2 2 3 2 ; 2 2 1 1 2] creates [0 1 2 3 2 2 1 1 2] W=5, Overlap=varies, Reverses may occur

Future: Flipped segments(002), Random Position of Segment start locations(003),Random Segment Positions with Flips (003R), Parrot Sequence with Gen3 Long Segments, Extra Segments, Phage Phi X174, Parallel Processing Simulation(Shot Gun Approach), Haemophilus Influenza, Sequence with Segment Errors, and Chromosome 20 with its 59M length using 100K 4K-segments