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A_far _far_ far_g ar_ga r_gal _gala galax alaxy laxy_ axy_f xy_fa y_far _far_ far_a ar_aw r_awa _away a_fa _far far_ ar_g laxy alax _gal r_ga y_fa _far.

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Presentation on theme: "A_far _far_ far_g ar_ga r_gal _gala galax alaxy laxy_ axy_f xy_fa y_far _far_ far_a ar_aw r_awa _away a_fa _far far_ ar_g laxy alax _gal r_ga y_fa _far."— Presentation transcript:

1 a_far _far_ far_g ar_ga r_gal _gala galax alaxy laxy_ axy_f xy_fa y_far _far_ far_a ar_aw r_awa _away a_fa _far far_ ar_g laxy alax _gal r_ga y_fa _far alax gala y_fa xy_f r_ga ar_g gala _gal _awa away ar_a r_aw xy_f axy_ laxy r_aw _awa ar_afar_ _far

2 a_far _far_ far_g ar_ga r_gal _gala galax alaxy laxy_ axy_f xy_fa y_far _far_ far_a ar_aw r_awa _away a_fa _far far_ ar_g laxy alax _gal r_ga y_fa _far alax gala y_fa xy_f r_ga ar_g gala _gal _awa away ar_a r_aw xy_f axy_ laxy r_aw _awa ar_afar_ _far m=1 m=4 m=2 a_fa away far_ _far laxy axy_ ar_g xy_f y_fa alax _awa ar_a r_aw _gal gala r_ga

3 a_far _far_ far_g ar_ga r_gal_ _gala galax alaxy laxy_ axy_f xy_fa y_far _far_ far_a ar_aw r_awa _away a_fa _far far_ ar_g laxy alax _gal r_ga y_fa _far alax gala y_fa xy_f r_ga ar_g gala _gal _awa away ar_a r_aw xy_f axy_ laxy r_aw _awa ar_afar_ _far m=1 m=4 m=2 a_fa away far_ _far laxy axy_ ar_g xy_f y_fa alax _awa ar_a r_aw _gal gala r_ga

4 a_far _far_ far_g ar_ga r_gal _gala galax alaxy laxy_ axy_f xy_fa y_far _far_ far_a ar_aw r_awa _away a_fa _far far_ ar_g laxy alax _gal r_ga y_fa _far alax gala y_fa xy_f r_ga ar_g gala _gal _awa away ar_a r_aw xy_f axy_ laxy r_aw _awa ar_afar_ _far m=1 m=4 m=2 a_fa away far_ _far laxy axy_ ar_g xy_f y_fa alax _awa ar_a r_aw _gal gala r_ga 1.Identify m=1 4-mers and pick one to start with. 2.Identify it’s 5-mer. For us, it’s easier to pick the one that’s going right.

5 a_far _far_ far_g ar_ga r_gal _gala galax alaxy laxy_ axy_f xy_fa y_far _far_ far_a ar_aw r_awa _away a_fa _far far_ ar_g laxy alax _gal r_ga y_fa _far alax gala y_fa xy_f r_ga ar_g gala _gal _awa away ar_a r_aw xy_f axy_ laxy r_aw _awa ar_afar_ _far m=1 m=4 m=2 a_fa away far_ _far laxy axy_ ar_g xy_f y_fa alax _awa ar_a r_aw _gal gala r_ga 1.Identify m=1 4-mers and pick one to start with. 2.Identify it’s 5-mer. For us, it’s easier to pick the one that’s going right. 3.We draw an edge using the associated 5-mer. That 5-mer is done. a_far

6 _far_ far_g ar_ga r_gal _gala galax alaxy laxy_ axy_f xy_fa y_far _far_ far_a ar_aw r_awa _away a_fa _far far_ ar_g laxy alax _gal r_ga y_fa _far alax gala y_fa xy_f r_ga ar_g gala _gal _awa away ar_a r_aw xy_f axy_ laxy r_aw _awa ar_afar_ _far m=1 m=4 m=2 a_fa away far_ _far laxy axy_ ar_g xy_f y_fa alax _awa ar_a r_aw _gal gala r_ga 1.Identify m=1 4-mers and pick one to start with. 2.Identify it’s 5-mer. For us, it’s easier to pick the one that’s going right. 3.We draw an edge using the associated 5-mer. That 5-mer is done. 4.Now we’ve got to deal with the fact that there are multiple 5-mers we can use to continue our path. a_far

7 _far_ far_g ar_ga r_gal _gala galax alaxy laxy_ axy_f xy_fa y_far _far_ far_a ar_aw r_awa _away a_fa _far far_ ar_g laxy alax _gal r_ga y_fa _far alax gala y_fa xy_f r_ga ar_g gala _gal _awa away ar_a r_aw xy_f axy_ laxy r_aw _awa ar_afar_ _far m=1 m=4 m=2 a_fa away far_ _far laxy axy_ ar_g xy_f y_fa alax _awa ar_a r_aw _gal gala r_ga 1.Identify m=1 4-mers and pick one to start with. 2.Identify it’s 5-mer. For us, it’s easier to pick the one that’s going right. 3.We draw an edge using the associated 5-mer. That 5-mer is done. 4.Now we’ve got to deal with the fact that there are multiple 5-mers we can use to continue our path. 5. There are multiple directions for the path to take far_ a_far

8 _far_ far_g ar_ga r_gal _gala galax alaxy laxy_ axy_f xy_fa y_far _far_ far_a ar_aw r_awa _away a_fa _far far_ ar_g laxy alax _gal r_ga y_fa _far alax gala y_fa xy_f r_ga ar_g gala _gal _awa away ar_a r_aw xy_f axy_ laxy r_aw _awa ar_afar_ _far m=1 m=4 m=2 a_fa away far_ _far laxy axy_ ar_g xy_f y_fa alax _awa ar_a r_aw _gal gala r_ga 1.Identify m=1 4-mers and pick one to start with. 2.Identify it’s 5-mer. For us, it’s easier to pick the one that’s going right. 3.We draw an edge using the associated 5-mer. That 5-mer is done. 4.Now we’ve got to deal with the fact that there are multiple 5-mers we can use to continue our path. 5. There are multiple directions for the path to take far_ _far_ a_far _far_

9 a_far _far_ far_g ar_ga r_gal _gala galax alaxy laxy_ axy_f xy_fa y_far _far_ far_a ar_aw r_awa _away a_fa _far far_ ar_g laxy alax _gal r_ga y_fa _far alax gala y_fa xy_f r_ga ar_g gala _gal _awa away ar_a r_aw xy_f axy_ laxy r_aw _awa ar_afar_ _far m=1 m=4 m=2 a_fa away far_ _far laxy axy_ ar_g xy_f y_fa alax _awa ar_a r_aw _gal gala r_ga 5. There are multiple directions for the path to take. 6. Continue each path. far_ _far_ a_far _far_

10 a_far _far_ far_g ar_ga r_gal _gala galax alaxy laxy_ axy_f xy_fa y_far _far_ far_a ar_aw r_awa _away a_fa _far far_ ar_g laxy alax _gal r_gal y_fa _far alax gala y_fa xy_f r_ga ar_g gala _gal _awa away ar_a r_aw xy_f axy_ laxy r_aw _awa ar_afar_ _far m=1 m=4 m=2 a_fa away far_ _far laxy axy_ ar_g xy_f y_fa alax _awa ar_a r_aw _gal gala r_gal 5. There are multiple directions for the path to take. 6. Continue each path. far_ _far_ a_far _far_ far_a

11 a_far _far_ far_g ar_ga r_gal _gala galax alaxy laxy_ axy_f xy_fa y_far _far_ far_a ar_aw r_awa _away a_fa _far far_ ar_g laxy alax _gal r_ga y_fa _far alax gala y_fa xy_f r_ga ar_g gala _gal _awa away ar_a r_aw xy_f axy_ laxy r_aw _awa ar_afar_ _far m=1 m=4 m=2 a_fa away far_ _far laxy axy_ ar_g xy_f y_fa alax _awa ar_a r_aw _gal gala r_ga 5. There are multiple directions for the path to take. 6. Continue each path. far_ _far_ a_far _far_ far_a far_g

12 a_far _far_ far_g ar_ga r_gal _gala galax alaxy laxy_ axy_f xy_fa y_far _far_ far_a ar_aw r_awa _away a_fa _far far_ ar_g laxy alax _gal r_ga y_fa _far alax gala y_fa xy_f r_ga ar_g gala _gal _awa away ar_a r_aw xy_f axy_ laxy r_aw _awa ar_afar_ _far m=1 m=4 m=2 a_fa away far_ _far laxy axy_ ar_g xy_f y_fa alax _awa ar_a r_aw _gal gala r_ga 5. There are multiple directions for the path to take. 6. Continue each path but let’s focus on the bottom for now. far_ _far_ a_far _far_ far_a far_g ar_aw

13 a_far _far_ far_g ar_ga r_gal _gala galax alaxy laxy_ axy_f xy_fa y_far _far_ far_a ar_aw r_awa _away a_fa _far far_ ar_g laxy alax _gal r_ga y_fa _far alax gala y_fa xy_f r_ga ar_g gala _gal _awa away ar_a r_aw xy_f axy_ laxy r_aw _awa ar_afar_ _far m=1 m=4 m=2 a_fa away far_ _far laxy axy_ ar_g xy_f y_fa alax _awa ar_a r_aw _gal gala r_ga 5. There are multiple directions for the path to take. 6. Continue each path but let’s focus on the bottom for now. far_ _far_ a_far _far_ far_a far_g ar_aw r_awa

14 a_far _far_ far_g ar_ga r_gal _gala galax alaxy laxy_ axy_f xy_fa y_far _far_ far_a ar_aw r_awa _away a_fa _far far_ ar_g laxy alax _gal r_ga y_fa _far alax gala y_fa xy_f r_ga ar_g gala _gal _awa away ar_a r_aw xy_f axy_ laxy r_aw _awa ar_afar_ _far m=1 m=4 m=2 a_fa far_ _far laxy axy_ ar_g xy_f y_fa alax _awa ar_a r_aw _gal gala r_ga 5. There are multiple directions for the path to take. 6. Continue each path but let’s focus on the bottom for now. 7. The bottom path terminates. far far_ _far_ a_far _far_ far_a far_g ar_aw r_awa away _away

15 a_far _far_ far_g ar_ga r_gal _gala galax alaxy laxy_ axy_f xy_fa y_far _far_ far_a ar_aw r_awa _away a_fa _far far_ ar_g laxy alax _gal r_ga y_fa _far alax gala y_fa xy_f r_ga ar_g gala _gal _awa away ar_a r_aw xy_f axy_ laxy r_aw _awa ar_afar_ _far m=1 m=4 m=2 a_fa far_ _far laxy axy_ ar_g xy_f y_fa alax _awa ar_a r_aw _gal gala r_ga 5. There are multiple directions for the path to take. 6. Continue each path but let’s focus on the bottom for now. 7. The bottom path terminates. _far far_ _far_ a_far _far_ far_a far_g ar_aw r_awa away _away _far_away

16 a_far _far_ far_g ar_ga r_gal _gala galax alaxy laxy_ axy_f xy_fa y_far _far_ far_a ar_aw r_awa _away a_fa _far far_ ar_g laxy alax _gal r_ga y_fa _far alax gala y_fa xy_f r_ga ar_g gala _gal _awa away ar_a r_aw xy_f axy_ laxy r_aw _awa ar_afar_ _far m=1 m=4 m=2 a_fa away far_ _far laxy axy_ ar_g xy_f y_fa alax _awa ar_a r_aw _gal gala r_ga 5. There are multiple directions for the path to take. 6. Continue each path but let’s focus on the bottom for now. 7. The bottom path terminates. 8. Leaving us to focus on the top path. far_ _far_ a_far _far_ far_a far_g ar_aw r_awa away _away _far_away _far

17 a_far _far_ far_g ar_ga r_gal _gala galax alaxy laxy_ axy_f xy_fa y_far _far_ far_a ar_aw r_awa _away a_fa _far far_ ar_g laxy alax _gal r_ga y_fa _far alax gala y_fa xy_f r_ga ar_g gala _gal _awa away ar_a r_aw xy_f axy_ laxy r_aw _awa ar_afar_ _far m=1 m=4 m=2 a_fa far_ _far laxy axy_ ar_g xy_f y_fa alax _awa ar_a r_aw _gal gala r_ga 5. There are multiple directions for the path to take. 6. Continue each path but let’s focus on the bottom for now. 7. The bottom path terminates. 8. Leaving us to focus on the top path. far_ _far_ a_far _far_ far_a far_g ar_aw r_awa away _away _far_away _far

18 a_far _far_ far_g ar_ga r_gal _gala galax alaxy laxy_ axy_f xy_fa y_far _far_ far_a ar_aw r_awa _away a_fa _far far_ ar_g laxy alax _gal r_ga y_fa _far alax gala y_fa xy_f r_ga ar_g gala _gal _awa away ar_a r_aw xy_f axy_ laxy r_aw _awa ar_afar_ _far m=1 m=4 m=2 a_fa far_ _far laxy axy_ ar_g xy_f y_fa alax _awa ar_a r_aw _gal gala r_ga 5. There are multiple directions for the path to take. 6. Continue each path but let’s focus on the bottom for now. 7. The bottom path terminates. 8. Leaving us to focus on the top path. far_ _far_ a_far _far_ far_a far_g ar_aw r_awa away _away ar_ga _far_away _far

19 a_far _far_ far_g ar_ga r_gal _gala galax alaxy laxy_ axy_f xy_fa y_far _far_ far_a ar_aw r_awa _away a_fa _far far_ ar_g laxy alax _gal r_ga y_fa _far alax gala y_fa xy_f r_ga ar_g gala _gal _awa away ar_a r_aw xy_f axy_ laxy r_aw _awa ar_afar_ _far m=1 m=4 m=2 a_fa far_ _far laxy axy_ ar_g xy_f y_fa alax _awa ar_a r_aw _gal gala r_ga 5. There are multiple directions for the path to take. 6. Continue each path but let’s focus on the bottom for now. 7. The bottom path terminates. 8. Leaving us to focus on the top path. far_ _far_ a_far _far_ far_a far_g ar_aw r_awa away _away ar_ga r_gal _far_away _far

20 a_far _far_ far_g ar_ga r_gal _gala galax alaxy laxy_ axy_f xy_fa y_far _far_ far_a ar_aw r_awa _away a_fa _far far_ ar_g laxy alax _gal r_ga y_fa _far alax gala y_fa xy_f r_ga ar_g gala _gal _awa away ar_a r_aw xy_f axy_ laxy r_aw _awa ar_afar_ _far m=1 m=4 m=2 a_fa far_ _far laxy axy_ ar_g xy_f y_fa alax _awa ar_a r_aw _gal gala r_ga 5. There are multiple directions for the path to take. 6. Continue each path but let’s focus on the bottom for now. 7. The bottom path terminates. 8. Leaving us to focus on the top path. far_ _far_ a_far _far_ far_a far_g ar_aw r_awa away _away ar_ga r_gal _gala _far_away _far

21 a_far _far_ far_g ar_ga r_gal _gala galax alaxy laxy_ axy_f xy_fa y_far _far_ far_a ar_aw r_awa _away a_fa _far far_ ar_g laxy alax _gal r_ga y_fa _far alax gala y_fa xy_f r_ga ar_g gala _gal _awa away ar_a r_aw xy_f axy_ laxy r_aw _awa ar_afar_ _far m=1 m=4 m=2 a_fa far_ _far laxy axy_ ar_g xy_f y_fa alax _awa ar_a r_aw _gal gala r_ga 5. There are multiple directions for the path to take. 6. Continue each path but let’s focus on the bottom for now. 7. The bottom path terminates. 8. Leaving us to focus on the top path. far_ _far_ a_far _far_ far_a far_g ar_aw r_awa away _away ar_ga r_gal _gala _far_away _far

22 a_far _far_ far_g ar_ga r_gal _gala galax alaxy laxy_ axy_f xy_fa y_far _far_ far_a ar_aw r_awa _away a_fa _far far_ ar_g laxy alax _gal r_ga y_fa _far alax gala y_fa xy_f r_ga ar_g gala _gal _awa away ar_a r_aw xy_f axy_ laxy r_aw _awa ar_afar_ _far m=1 m=4 m=2 a_fa far_ _far laxy axy_ ar_g xy_f y_fa alax _awa ar_a r_aw _gal gala r_ga 5. There are multiple directions for the path to take. 6. Continue each path but let’s focus on the bottom for now. 7. The bottom path terminates. 8. Leaving us to focus on the top path. far_ _far_ a_far _far_ far_a far_g ar_aw r_awa away _away ar_ga r_gal _gala galax _far_away _far

23 a_far _far_ far_g ar_ga r_gal _gala galax alaxy laxy_ axy_f xy_fa y_far _far_ far_a ar_aw r_awa _away a_fa _far far_ ar_g laxy alax _gal r_ga y_fa _far alax gala y_fa xy_f r_ga ar_g gala _gal _awa away ar_a r_aw xy_f axy_ laxy r_aw _awa ar_afar_ _far m=1 m=4 m=2 a_fa far_ _far laxy axy_ ar_g xy_f y_fa alax _awa ar_a r_aw _gal gala r_ga 5. There are multiple directions for the path to take. 6. Continue each path but let’s focus on the bottom for now. 7. The bottom path terminates. 8. Leaving us to focus on the top path. far_ _far_ a_far _far_ far_a far_g ar_aw r_awa away _away ar_ga r_gal _gala galax alaxy _far_away _far

24 a_far _far_ far_g ar_ga r_gal _gala galax alaxy laxy_ axy_f xy_fa y_far _far_ far_a ar_aw r_awa _away a_fa _far far_ ar_g laxy alax _gal r_ga y_fa _far alax gala y_fa xy_f r_ga ar_g gala _gal _awa away ar_a r_aw xy_f axy_ laxy r_aw _awa ar_afar_ _far m=1 m=4 m=2 a_fa far_ _far laxy axy_ ar_g xy_f y_fa alax _awa ar_a r_aw _gal gala r_ga 5. There are multiple directions for the path to take. 6. Continue each path but let’s focus on the bottom for now. 7. The bottom path terminates. 8. Leaving us to focus on the top path. far_ _far_ a_far _far_ far_a far_g ar_aw r_awa away _away ar_ga r_gal _gala galax alaxy laxy_ _far_away _far

25 a_far _far_ far_g ar_ga r_gal _gala galax alaxy laxy_ axy_f xy_fa y_far _far_ far_a ar_aw r_awa _away a_fa _far far_ ar_g laxy alax _gal r_ga y_fa _far alax gala y_fa xy_f r_ga ar_g gala _gal _awa away ar_a r_aw xy_f axy_ laxy r_aw _awa ar_afar_ _far m=1 m=4 m=2 a_fa far_ _far laxy axy_ ar_g xy_f y_fa alax _awa ar_a r_aw _gal gala r_ga 5. There are multiple directions for the path to take. 6. Continue each path but let’s focus on the bottom for now. 7. The bottom path terminates. 8. Leaving us to focus on the top path. far_ _far_ a_far _far_ far_a far_g ar_aw r_awa away _away ar_ga r_gal _gala galax alaxy laxy_ axy_f _far_away _far

26 a_far _far_ far_g ar_ga r_gal _gala galax alaxy laxy_ axy_f xy_fa y_far _far_ far_a ar_aw r_awa _away a_fa _far far_ ar_g laxy alax _gal r_ga y_fa _far alax gala y_fa xy_f r_ga ar_g gala _gal _awa away ar_a r_aw xy_f axy_ laxy r_aw _awa ar_afar_ _far m=1 m=4 m=2 a_fa far_ _far laxy axy_ ar_g xy_f y_fa alax _awa ar_a r_aw _gal gala r_ga 5. There are multiple directions for the path to take. 6. Continue each path but let’s focus on the bottom for now. 7. The bottom path terminates. 8. Leaving us to focus on the top path. far_ _far_ a_far _far_ far_a far_g ar_aw r_awa away _away ar_ga r_gal _gala galax alaxy laxy_ axy_f xy_fa _far_away _far

27 a_far _far_ far_g ar_ga r_gal _gala galax alaxy laxy_ axy_f xy_fa y_far _far_ far_a ar_aw r_awa _away a_fa _far far_ ar_g laxy alax _gal r_ga y_fa _far alax gala y_fa xy_f r_ga ar_g gala _gal _awa away ar_a r_aw xy_f axy_ laxy r_aw _awa ar_afar_ _far m=1 m=4 m=2 a_fa far_ _far laxy axy_ ar_g xy_f y_fa alax _awa ar_a r_aw _gal gala r_ga 5. There are multiple directions for the path to take. 6. Continue each path but let’s focus on the bottom for now. 7. The bottom path terminates. 8. Leaving us to focus on the top path. far_ _far_ a_far _far_ far_a far_g ar_aw r_awa away _away ar_ga r_gal _gala galax alaxy laxy_ axy_f xy_fa y_far _far_away _far

28 a_far _far_ far_g ar_ga r_gal _gala galax alaxy laxy_ axy_f xy_fa y_far _far_ far_a ar_aw r_awa _away a_fa _far far_ ar_g laxy alax _gal r_ga y_fa _far alax gala y_fa xy_f r_ga ar_g gala _gal _awa away ar_a r_aw xy_f axy_ laxy r_aw _awa ar_afar_ _far m=1 m=4 m=2 a_fa far_ _far laxy axy_ ar_g xy_f y_fa alax _awa ar_a r_aw _gal gala r_ga 5. There are multiple directions for the path to take. 6. Continue each path but let’s focus on the bottom for now. 7. The bottom path terminates. 8. Leaving us to focus on the top path. far_ _far_ a_far _far_ far_a far_g ar_aw r_awa away _away ar_ga r_gal _gala galax alaxy laxy_ axy_f xy_fa y_far a_far_galaxy_far _far_away _far

29 a_far _far_ far_g ar_ga r_gal _gala galax alaxy laxy_ axy_f xy_fa y_far _far_ far_a ar_aw r_awa _away a_fa _far far_ ar_g laxy alax _gal r_ga y_fa _far alax gala y_fa xy_f r_ga ar_g gala _gal _awa away ar_a r_aw xy_f axy_ laxy r_aw _awa ar_afar_ _far m=1 m=4 m=2 a_fa far_ _far laxy axy_ ar_g xy_f y_fa alax _awa ar_a r_aw _gal gala r_ga 9. Note that the final 4-mer is NOT terminal. far_ _far_ a_far _far_ far_a far_g ar_aw r_awa away _away ar_ga r_gal _gala galax alaxy laxy_ axy_f xy_fa y_far _far_away a_far_galaxy_far _far

30 a_far _far_ far_g ar_ga r_gal _gala galax alaxy laxy_ axy_f xy_fa y_far _far_ far_a ar_aw r_awa _away a_fa _far far_ ar_g laxy alax _gal r_ga y_fa _far alax gala y_fa xy_f r_ga ar_g gala _gal _awa away ar_a r_aw xy_f axy_ laxy r_aw _awa ar_afar_ _far m=1 m=4 m=2 a_fa far_ _far laxy axy_ ar_g xy_f y_fa alax _awa ar_a r_aw _gal gala r_ga 9. Note that the final 4-mer is NOT terminal. 10. Link it to the where the split began far_ _far_ a_far _far_ far_a far_g ar_aw r_awa away _away ar_ga r_gal _gala galax alaxy laxy_ axy_f xy_fa y_far _far_away a_far_galaxy_far _far

31 a_far _far_ far_g ar_ga r_gal _gala galax alaxy laxy_ axy_f xy_fa y_far _far_ far_a ar_aw r_awa _away a_fa _far far_ ar_g laxy alax _gal r_ga y_fa _far alax gala y_fa xy_f r_ga ar_g gala _gal _awa away ar_a r_aw xy_f axy_ laxy r_aw _awa ar_afar_ _far m=1 m=4 m=2 a_fa far_ _far laxy axy_ ar_g xy_f y_fa alax _awa ar_a r_aw _gal gala r_ga 9. Note that the final 4-mer is NOT terminal. 10. Link it to the where the split began 11. Join the two paths at the split far_ _far_ a_far _far_ far_a far_g ar_aw r_awa away _away ar_ga r_gal _gala galax alaxy laxy_ axy_f xy_fa y_far _far_away a_far_galaxy_far a_far_galaxy_far_away _far

32 a_far_galaxy_far_away All 5-mers a_far _far_ far_g ar_ga r_gal _gala galax alaxy laxy_ axy_f xy_fa y_far _far_ far_a ar_aw r_awa _away a_far _far_ far_g ar_ga r_gal _gala galax alaxy laxy_ axy_f xy_fa y_far _far_ far_a ar_aw r_awa _away a_fa _far far_ ar_g laxy alax _gal r_ga y_fa _far alax gala y_fa xy_f r_ga ar_g gala _gal _awa away ar_a r_aw xy_f axy_ laxy r_aw _awa ar_afar_ _far

33 a_far_galaxy_far_away All 7-mers a_far_g _far_ga far_gal ar_gala r_galax _galaxy galaxy_ alaxy_f laxy_fa axy_far xy_far_ y_far_a _far_aw far_awa ar_away This time, k=7 a_far_g _far_ga far_gal ar_gala r_galax _galaxy galaxy_ alaxy_f laxy_fa axy_far xy_far_ y_far_a _far_aw far_awa ar_away _far_ga_far_ r_away ar_awa ar_galfar_ga r_galaar_gal laxy_f alaxy_ far_aw ar_awa alaxy_ galaxy y_far_ xy_far _galax r_gala axy_fa laxy_f _far_a y_far_ far_ga _far_g xy_faraxy_fa far_aw_far_a galaxy _galax

34 m=1 m=4 m=2 a_far_r_away a_far_g _far_ga far_gal ar_gala r_galax _galaxy galaxy_ alaxy_f laxy_fa axy_far xy_far_ y_far_a _far_aw far_awa ar_away _far_ga_far_ r_away ar_awa ar_galfar_ga r_galaar_gal laxy_f alaxy_ far_aw ar_awa alaxy_ galaxy y_far_ xy_far _galax r_gala axy_fa laxy_f _far_a y_far_ far_ga _far_g xy_faraxy_fa far_aw_far_a galaxy _galax This time, k=7 _far_g ar_awa far_ga r_galaar_gal laxy_f alaxy_ far_aw xy_far _galax axy_fa _far_a y_far_ galaxy

35 m=1 m=4 m=2 a_far_r_away This time, k=7 _far_g ar_awa far_ga r_galaar_gal laxy_f alaxy_ far_aw xy_far _galax axy_fa _far_a y_far_ galaxy a_far_g _far_ga far_gal ar_gala r_galax _galaxy galaxy_ alaxy_f laxy_fa axy_far xy_far_ y_far_a _far_aw far_awa ar_away _far_ga_far_ r_away ar_awa ar_galfar_ga r_galaar_gal laxy_f alaxy_ far_aw ar_awa alaxy_ galaxy y_far_ xy_far _galax r_gala axy_fa laxy_f _far_a y_far_ far_ga _far_g xy_faraxy_fa far_aw_far_a galaxy _galax

36 m=1 m=4 m=2 a_far_ r_away This time, k=7 _far_g ar_awa far_ga r_galaar_gal laxy_f alaxy_ far_aw xy_far _galax axy_fa _far_a y_far_ galaxy a_far_g _far_ga far_gal ar_gala r_galax _galaxy galaxy_ alaxy_f laxy_fa axy_far xy_far_ y_far_a _far_aw far_awa ar_away _far_ga_far_ r_away ar_awa ar_galfar_ga r_galaar_gal laxy_f alaxy_ far_aw ar_awa alaxy_ galaxy y_far_ xy_far _galax r_gala axy_fa laxy_f _far_a y_far_ far_ga _far_g xy_faraxy_fa far_aw_far_a galaxy _galax

37 m=1 m=4 m=2 a_far_ r_away This time, k=7 _far_g ar_awa far_ga r_galaar_gal laxy_f alaxy_ far_aw xy_far _galax axy_fa _far_a y_far_ galaxy a_far_g _far_ga far_gal ar_gala r_galax _galaxy galaxy_ alaxy_f laxy_fa axy_far xy_far_ y_far_a _far_aw far_awa ar_away _far_ga_far_ r_away ar_awa ar_galfar_ga r_galaar_gal laxy_f alaxy_ far_aw ar_awa alaxy_ galaxy y_far_ xy_far _galax r_gala axy_fa laxy_f _far_a y_far_ far_ga _far_g xy_faraxy_fa far_aw_far_a galaxy _galax ar_away

38 m=1 m=4 m=2 a_far_ r_away This time, k=7 _far_g ar_awa far_ga r_galaar_gal laxy_f alaxy_ far_aw xy_far _galax axy_fa _far_a y_far_ galaxy a_far_g _far_ga far_gal ar_gala r_galax _galaxy galaxy_ alaxy_f laxy_fa axy_far xy_far_ y_far_a _far_aw far_awa ar_away _far_ga_far_ r_away ar_awa ar_galfar_ga r_galaar_gal laxy_f alaxy_ far_aw ar_awa alaxy_ galaxy y_far_ xy_far _galax r_gala axy_fa laxy_f _far_a y_far_ far_ga _far_g xy_faraxy_fa far_aw_far_a galaxy _galax ar_away

39 m=1 m=4 m=2 a_far_ r_away This time, k=7 _far_g ar_awa far_ga r_galaar_gal laxy_f alaxy_ far_aw xy_far _galax axy_fa _far_a y_far_ galaxy a_far_g _far_ga far_gal ar_gala r_galax _galaxy galaxy_ alaxy_f laxy_fa axy_far xy_far_ y_far_a _far_aw far_awa ar_away _far_ga_far_ r_away ar_awa ar_galfar_ga r_galaar_gal laxy_f alaxy_ far_aw ar_awa alaxy_ galaxy y_far_ xy_far _galax r_gala axy_fa laxy_f _far_a y_far_ far_ga _far_g xy_faraxy_fa far_aw_far_a galaxy _galax ar_away far_awa

40 m=1 m=4 m=2 a_far_ r_away This time, k=7 _far_g ar_awa far_ga r_galaar_gal laxy_f alaxy_ far_aw xy_far _galax axy_fa _far_a y_far_ galaxy a_far_g _far_ga far_gal ar_gala r_galax _galaxy galaxy_ alaxy_f laxy_fa axy_far xy_far_ y_far_a _far_aw far_awa ar_away _far_ga_far_ r_away ar_awa ar_galfar_ga r_galaar_gal laxy_f alaxy_ far_aw ar_awa alaxy_ galaxy y_far_ xy_far _galax r_gala axy_fa laxy_f _far_a y_far_ far_ga _far_g xy_faraxy_fa far_aw_far_a galaxy _galax ar_away far_awa _far_aw

41 m=1 m=4 m=2 a_far_ r_away This time, k=7 _far_g ar_awa far_ga r_galaar_gal laxy_f alaxy_ far_aw xy_far _galax axy_fa _far_a y_far_ galaxy a_far_g _far_ga far_gal ar_gala r_galax _galaxy galaxy_ alaxy_f laxy_fa axy_far xy_far_ y_far_a _far_aw far_awa ar_away _far_ga_far_ r_away ar_awa ar_galfar_ga r_galaar_gal laxy_f alaxy_ far_aw ar_awa alaxy_ galaxy y_far_ xy_far _galax r_gala axy_fa laxy_f _far_a y_far_ far_ga _far_g xy_faraxy_fa far_aw_far_a galaxy _galax ar_away far_awa _far_aw y_far_a

42 m=1 m=4 m=2 a_far_ r_away This time, k=7 _far_g ar_awa far_ga r_galaar_gal laxy_f alaxy_ far_aw xy_far _galax axy_fa _far_a y_far_ galaxy a_far_g _far_ga far_gal ar_gala r_galax _galaxy galaxy_ alaxy_f laxy_fa axy_far xy_far_ y_far_a _far_aw far_awa ar_away _far_ga_far_ r_away ar_awa ar_galfar_ga r_galaar_gal laxy_f alaxy_ far_aw ar_awa alaxy_ galaxy y_far_ xy_far _galax r_gala axy_fa laxy_f _far_a y_far_ far_ga _far_g xy_faraxy_fa far_aw_far_a galaxy _galax ar_away far_awa _far_aw y_far_a xy_far_

43 m=1 m=4 m=2 a_far_ r_away This time, k=7 _far_g ar_awa far_ga r_galaar_gal laxy_f alaxy_ far_aw xy_far _galax axy_fa _far_a y_far_ galaxy a_far_g _far_ga far_gal ar_gala r_galax _galaxy galaxy_ alaxy_f laxy_fa axy_far xy_far_ y_far_a _far_aw far_awa ar_away _far_ga_far_ r_away ar_awa ar_galfar_ga r_galaar_gal laxy_f alaxy_ far_aw ar_awa alaxy_ galaxy y_far_ xy_far _galax r_gala axy_fa laxy_f _far_a y_far_ far_ga _far_g xy_faraxy_fa far_aw_far_a galaxy _galax ar_away far_awa _far_aw y_far_a xy_far_ axy_far

44 m=1 m=4 m=2 a_far_ r_away This time, k=7 _far_g ar_awa far_ga r_galaar_gal laxy_f alaxy_ far_aw xy_far _galax axy_fa _far_a y_far_ galaxy a_far_g _far_ga far_gal ar_gala r_galax _galaxy galaxy_ alaxy_f laxy_fa axy_far xy_far_ y_far_a _far_aw far_awa ar_away _far_ga_far_ r_away ar_awa ar_galfar_ga r_galaar_gal laxy_f alaxy_ far_aw ar_awa alaxy_ galaxy y_far_ xy_far _galax r_gala axy_fa laxy_f _far_a y_far_ far_ga _far_g xy_faraxy_fa far_aw_far_a galaxy _galax ar_away far_awa _far_aw y_far_a xy_far_ axy_far laxy_fa

45 m=1 m=4 m=2 a_far_ r_away This time, k=7 _far_g ar_awa far_ga r_galaar_gal laxy_f alaxy_ far_aw xy_far _galax axy_fa _far_a y_far_ galaxy a_far_g _far_ga far_gal ar_gala r_galax _galaxy galaxy_ alaxy_f laxy_fa axy_far xy_far_ y_far_a _far_aw far_awa ar_away _far_ga_far_ r_away ar_awa ar_galfar_ga r_galaar_gal laxy_f alaxy_ far_aw ar_awa alaxy_ galaxy y_far_ xy_far _galax r_gala axy_fa laxy_f _far_a y_far_ far_ga _far_g xy_faraxy_fa far_aw_far_a galaxy _galax ar_away far_awa _far_aw y_far_a xy_far_ axy_far laxy_fa alaxy_f

46 m=1 m=4 m=2 a_far_ r_away This time, k=7 _far_g ar_awa far_ga r_galaar_gal laxy_f alaxy_ far_aw xy_far _galax axy_fa _far_a y_far_ galaxy a_far_g _far_ga far_gal ar_gala r_galax _galaxy galaxy_ alaxy_f laxy_fa axy_far xy_far_ y_far_a _far_aw far_awa ar_away _far_ga_far_ r_away ar_awa ar_galfar_ga r_galaar_gal laxy_f alaxy_ far_aw ar_awa alaxy_ galaxy y_far_ xy_far _galax r_gala axy_fa laxy_f _far_a y_far_ far_ga _far_g xy_faraxy_fa far_aw_far_a galaxy _galax ar_away far_awa _far_aw y_far_a xy_far_ axy_far laxy_fa alaxy_f galaxy_

47 m=1 m=4 m=2 a_far_ r_away This time, k=7 _far_g ar_awa far_ga r_galaar_gal laxy_f alaxy_ far_aw xy_far _galaxaxy_fa _far_a y_far_ galaxy a_far_g _far_ga far_gal ar_gala r_galax _galaxy galaxy_ alaxy_f laxy_fa axy_far xy_far_ y_far_a _far_aw far_awa ar_away _far_ga_far_ r_away ar_awa ar_galfar_ga r_galaar_gal laxy_f alaxy_ far_aw ar_awa alaxy_ galaxy y_far_ xy_far _galax r_gala axy_fa laxy_f _far_a y_far_ far_ga _far_g xy_faraxy_fa far_aw_far_a galaxy _galax ar_away far_awa _far_aw y_far_a xy_far_ axy_far laxy_fa alaxy_f galaxy_ _galaxy

48 m=1 m=4 m=2 a_far_ r_away This time, k=7 _far_g ar_awa far_ga r_gala ar_gal laxy_f alaxy_ far_aw xy_far _galaxaxy_fa _far_a y_far_ galaxy a_far_g _far_ga far_gal ar_gala r_galax _galaxy galaxy_ alaxy_f laxy_fa axy_far xy_far_ y_far_a _far_aw far_awa ar_away _far_ga_far_ r_away ar_awa ar_galfar_ga r_galaar_gal laxy_f alaxy_ far_aw ar_awa alaxy_ galaxy y_far_ xy_far _galax r_gala axy_fa laxy_f _far_a y_far_ far_ga _far_g xy_faraxy_fa far_aw_far_a galaxy _galax ar_away far_awa _far_aw y_far_a xy_far_ axy_far laxy_fa alaxy_f galaxy_ _galaxy r_galax ar_gala far_gal

49 m=1 m=4 m=2 a_far_ r_away This time, k=7 _far_g ar_awa far_ga r_gala ar_gal laxy_f alaxy_ far_aw xy_far _galaxaxy_fa _far_a y_far_ galaxy a_far_g _far_ga far_gal ar_gala r_galax _galaxy galaxy_ alaxy_f laxy_fa axy_far xy_far_ y_far_a _far_aw far_awa ar_away _far_ga_far_ r_away ar_awa ar_galfar_ga r_galaar_gal laxy_f alaxy_ far_aw ar_awa alaxy_ galaxy y_far_ xy_far _galax r_gala axy_fa laxy_f _far_a y_far_ far_ga _far_g xy_faraxy_fa far_aw_far_a galaxy _galax ar_away far_awa _far_aw y_far_a xy_far_ axy_far laxy_fa alaxy_f galaxy_ _galaxy r_galax ar_gala far_gal _far_ga

50 m=1 m=4 m=2 a_far_ r_away This time, k=7 _far_g ar_awa far_ga r_gala ar_gal laxy_f alaxy_ far_aw xy_far _galaxaxy_fa _far_a y_far_ galaxy a_far_g _far_ga far_gal ar_gala r_galax _galaxy galaxy_ alaxy_f laxy_fa axy_far xy_far_ y_far_a _far_aw far_awa ar_away _far_ga_far_ r_away ar_awa ar_galfar_ga r_galaar_gal laxy_f alaxy_ far_aw ar_awa alaxy_ galaxy y_far_ xy_far _galax r_gala axy_fa laxy_f _far_a y_far_ far_ga _far_g xy_faraxy_fa far_aw_far_a galaxy _galax ar_away far_awa _far_aw y_far_a xy_far_ axy_far laxy_fa alaxy_f galaxy_ _galaxy r_galax ar_gala far_gal _far_ga a_far_g

51 m=1 m=4 m=2 a_far_ r_away This time, k=7 _far_g ar_awa far_ga r_gala ar_gal laxy_f alaxy_ far_aw xy_far _galaxaxy_fa _far_a y_far_ galaxy a_far_g _far_ga far_gal ar_gala r_galax _galaxy galaxy_ alaxy_f laxy_fa axy_far xy_far_ y_far_a _far_aw far_awa ar_away _far_ga_far_ r_away ar_awa ar_galfar_ga r_galaar_gal laxy_f alaxy_ far_aw ar_awa alaxy_ galaxy y_far_ xy_far _galax r_gala axy_fa laxy_f _far_a y_far_ far_ga _far_g xy_faraxy_fa far_aw_far_a galaxy _galax ar_away far_awa _far_aw y_far_a xy_far_ axy_far laxy_fa alaxy_f galaxy_ _galaxy r_galax ar_gala far_gal _far_ga a_far_g a_far_galaxy_far_away


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