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I’m surprised m_2s_cycles is lower for j340 than z340. It contradicts the larger perfect cycle scores for j340 for L=2 and L=3. What could be the explanation for this? By contrast, Z408 has pcs(L=2) of 884.93, pcs(L=3) of 418.90, and m_2s_cycles of 2855.73.
That’s why I like to ask for your L2 and L3 stats. I was pondering removal of columns as one possible explanation for the cycle randomization in the 340 but after seeing the L2 and L3 stats think it is unlikely. I suspect the explanation is that the cycle randomization in the 340 is more general/spread out. While in my cipher, the randomization is more local as 4 removed columns. And my collection of current encoding stats has a blind spot there, and your L2 and L3 stats fill that in.
Could you test this cipher please? It has 18% cycle randomization, with my other encoding stats closely matching the 340. I wonder if the 18% cycle randomization matches L2 and L3 stats of the 340.
1 2 3 4 5 4 6 7 2 8 9 10 11 12 13 11 7 14 15 5 16 17 18 19 12 20 21 1 22 23 13 24 25 26 27 28 18 29 3 30 6 23 31 13 32 12 33 25 9 34 35 17 29 4 8 2 7 20 9 36 37 1 2 38 39 40 24 41 3 29 42 27 12 43 13 44 45 41 46 47 48 5 49 50 18 22 12 31 17 9 6 19 21 27 41 24 13 22 30 51 40 29 36 52 53 13 25 23 50 9 8 31 17 7 13 33 40 2 7 34 13 4 20 2 7 19 13 24 14 42 35 1 9 39 10 3 54 12 23 31 41 55 27 52 24 13 46 56 47 35 32 6 2 7 8 29 36 14 57 11 14 32 5 9 26 5 20 21 1 23 12 54 41 29 15 52 30 34 52 53 42 27 50 9 39 14 55 56 3 29 10 58 13 18 44 45 13 16 4 19 13 43 43 59 6 47 35 17 36 8 53 2 21 27 5 48 12 23 30 11 40 32 34 13 28 20 42 1 46 30 35 50 34 60 27 41 9 3 61 6 52 8 62 20 7 7 15 14 44 5 15 13 45 29 1 9 11 17 53 40 38 1 49 52 50 29 51 17 2 2 42 35 14 20 27 40 54 5 4 1 7 2 12 38 37 3 7 2 48 41 26 13 31 52 24 63 19 7 50 54 14 22 6 59 8 2 7 9 13 55 39 20 54 5 58 13 25 31 58 29 17 24 12 15 41 16 40 18 23 52 63 13 25 60 1 2 7 34 32 58
Posted : January 21, 2017 1:53 pm
OK – I have updated it. Let me know if this is OK or if you want me to remove your attribution.
Thank you, it is perfect. Good luck with your cipher type identification project. I think it is a hole in the market so to say. If you can get that thing online I think it would become widely used.
Posted : January 21, 2017 1:59 pm
This year the „European Historical Ciphers Colloquium“ will take place in Bratislava, Slovakia (May 18-19). Last year this symposium was in Kassel, Germany and I was there and I will defenitely visit the event in Slovakia too. The organizer asked for presentations and I considered to participate. I don’t have problems to talk to the audience but I think I don’t have enough background in the topic yet. All I could do is to share the things that all the people in this forum have found out if no one minds. What do you think David? I could help by exposing a summary of all the clues to the european audience.
I heard about this talk from Klaus Schmeh. It sounds very interesting and I’d love to come but it is prohibitively expensive for me to get there. I will be happy for you to share the clues with them. Jarlve, you will need to weigh in here on if/how you want your material presented.
doranchak,
I’m okay if you want to push your encyclopedia of observations (since you will inform me of new entries that relate to my work).
I went through your encyclopedia agaian and would like to have "Some measurements suggest the encoding of homophone cycles in the 340 might not necessarily start at the first position (see Jarlve’s post)" removed. The observation is way to loose and needs to be fleshed out. Thanks.
Posted : January 21, 2017 2:11 pm
Could you test this cipher please? It has 18% cycle randomization, with my other encoding stats closely matching the 340. I wonder if the 18% cycle randomization matches L2 and L3 stats of the 340.
OK here are the stats. I’ll refer to yours as j340_18%:
multiplicity:
z340: 0.185
j340_18%: 0.185
ioc:
z340: 0.0193996182543814
j340_18%: 0.0193649141072358
jarlve nonrepeat score 1:
z340: 4462
j340_18%: 4234
jarlve nonrepeat score 2:
z340: 1599
j340_18%: 1823
perfect cycle score (L=2):
z340: 247.85
j340_18%: 490.33
perfect cycle score (L=3):
z340: 62.36
j340_18%: 270.40
jarlve m_2s_cycles:
z340: 2150.72
j340_18%: 2182.71
Posted : January 21, 2017 2:17 pm
Here is the raw output for the perfect cycle scores for z340 and j340_18%, to help show how my algorithm scores the cycle patterns it finds. It rewards cycles that occupy a large percentage of the full sequence. It cubes the percentages to try to keep smaller cycles from dominating the score. In the end, it multiplies the sum of scores for a given run length by two raised to a number proportional to the run length ("run" means "number of unbroken repetitions of the cycle").
z340 L=2
sequence lM full lMlMlMlMlMlMlM run 7 percent 1.0 percent^3 1.0 sequence ^* full ^*^*^*^*^*^* run 6 percent 1.0 percent^3 1.0 sequence KM full KMKMKMKMKMKMMK run 6 percent 0.85714287 percent^3 0.6297376280970894 sequence OK full OKOKOKOKOKOKOOOOK run 6 percent 0.7058824 percent^3 0.35171995293019254 sequence 2z full 2z2z22z2z2z2z2z2zz run 6 percent 0.6666667 percent^3 0.2962963227872503 sequence RK full RKRKRKRKRKRRKRK run 5 percent 0.6666667 percent^3 0.2962963227872503 sequence O< full O<OOO<O<O<O<O<OO run 5 percent 0.625 percent^3 0.244140625 sequence 2M full 2M2M222M2M2M2M2M run 5 percent 0.625 percent^3 0.244140625 sequence p< full pp<pppp<p<p<p<p<p run 5 percent 0.5882353 percent^3 0.2035416497394177 sequence l| full l|l|l|l|l||l|l||| run 5 percent 0.5882353 percent^3 0.2035416497394177 sequence Rc full RcRRcRcRcRcRccRccc run 5 percent 0.5555556 percent^3 0.17146778858901823 sequence B5 full BB55BB5B5B5B5B5BBBB run 5 percent 0.5263158 percent^3 0.14579386314161896 sequence 9t full 9t9t9t9t run 4 percent 1.0 percent^3 1.0 sequence >S full >S>S>S>S run 4 percent 1.0 percent^3 1.0 sequence >Z full >Z>Z>Z>Z run 4 percent 1.0 percent^3 1.0 sequence DZ full DZDZDZDZ run 4 percent 1.0 percent^3 1.0 sequence YZ full YZYZYZYZ run 4 percent 1.0 percent^3 1.0 sequence fZ full fZfZfZfZ run 4 percent 1.0 percent^3 1.0 sequence ft full ftftftft run 4 percent 1.0 percent^3 1.0 sequence J- full J-J-J-J-- run 4 percent 0.8888889 percent^3 0.7023319772895636 sequence UJ full UJUJUJUJU run 4 percent 0.8888889 percent^3 0.7023319772895636 sequence *9 full **9*9*9*9* run 4 percent 0.8 percent^3 0.5120000228881839 sequence *t full **t*t*t*t* run 4 percent 0.8 percent^3 0.5120000228881839 sequence .9 full .9.9.9.9.. run 4 percent 0.8 percent^3 0.5120000228881839 sequence V9 full VV9V9V9V9V run 4 percent 0.8 percent^3 0.5120000228881839 sequence ^9 full ^^9^9^9^9^ run 4 percent 0.8 percent^3 0.5120000228881839 sequence kd full kddkdkdkdk run 4 percent 0.8 percent^3 0.5120000228881839 sequence MJ full MJMJMJMJMMM run 4 percent 0.72727275 percent^3 0.38467321245407105 sequence V# full V##V#V#V#VV run 4 percent 0.72727275 percent^3 0.38467321245407105 sequence <- full <-<-<-<-<<- run 4 percent 0.72727275 percent^3 0.38467321245407105 sequence y4 full y4y4y4y44y4 run 4 percent 0.72727275 percent^3 0.38467321245407105 sequence <U full <UU<U<U<U<< run 4 percent 0.72727275 percent^3 0.38467321245407105 sequence <y full <y<y<y<yy<< run 4 percent 0.72727275 percent^3 0.38467321245407105 sequence VU full VUVUVUVUVVU run 4 percent 0.72727275 percent^3 0.38467321245407105 sequence (# full (#(#(#(##((( run 4 percent 0.6666667 percent^3 0.2962963227872503 sequence #K full #K#K#K#KK#KK run 4 percent 0.6666667 percent^3 0.2962963227872503 sequence lT full lTlllTlTlTlT run 4 percent 0.6666667 percent^3 0.2962963227872503 sequence ly full lyllylylylyl run 4 percent 0.6666667 percent^3 0.2962963227872503 sequence ^4 full ^^4^4^4^444^ run 4 percent 0.6666667 percent^3 0.2962963227872503 sequence VG full VGGVGVGVGVVG run 4 percent 0.6666667 percent^3 0.2962963227872503 sequence cJ full cJcJcJcJcccccc run 4 percent 0.5714286 percent^3 0.18658894630632428 sequence G( full G(G((G(G(G(G( run 4 percent 0.61538464 percent^3 0.23304508749224448 sequence V( full V((V(V(V(VV(( run 4 percent 0.61538464 percent^3 0.23304508749224448 sequence M4 full MM4M4M4M444MM run 4 percent 0.61538464 percent^3 0.23304508749224448 sequence <K full <KKK<K<K<K<<K run 4 percent 0.61538464 percent^3 0.23304508749224448 sequence VM full VMVMVMVMMVVMM run 4 percent 0.61538464 percent^3 0.23304508749224448 sequence ^M full ^M^M^M^MM^^MM run 4 percent 0.61538464 percent^3 0.23304508749224448 sequence lV full lVlVlVlVllVVl run 4 percent 0.61538464 percent^3 0.23304508749224448 sequence (K full (K(K(K(KK(K((K run 4 percent 0.5714286 percent^3 0.18658894630632428 sequence l5 full ll5l5l5l55l55l run 4 percent 0.5714286 percent^3 0.18658894630632428 sequence O- full OOO-O-O-O-OOO-O run 4 percent 0.53333336 percent^3 0.15170372743959903 sequence |C full ||C||||C|C|C|C| run 4 percent 0.53333336 percent^3 0.15170372743959903 sequence TO full TOOOOOTOTOTOTOO run 4 percent 0.53333336 percent^3 0.15170372743959903 sequence OU full OUOOUOUOUOUOOOO run 4 percent 0.53333336 percent^3 0.15170372743959903 sequence RM full RMRMRMRRMRMRMRM run 4 percent 0.53333336 percent^3 0.15170372743959903 sequence c4 full c4cc4c4c4c44cccc run 4 percent 0.5 percent^3 0.125 sequence Vc full VcVcVcVcccVVcccc run 4 percent 0.5 percent^3 0.125 sequence V| full V|V|V|V|||VV|||| run 4 percent 0.5 percent^3 0.125 sequence ^| full ^|^|^|^|||^|^||| run 4 percent 0.5 percent^3 0.125 sequence |K full |KK|K|K|K|||K|||K run 4 percent 0.47058824 percent^3 0.10421331278690127 sequence OM full OMOMOOMOMOMOMOOMO run 4 percent 0.47058824 percent^3 0.10421331278690127 sequence cM full cMMcMcMcMcccMcccM run 4 percent 0.47058824 percent^3 0.10421331278690127 sequence p5 full ppppp5p5p5p5555ppp run 4 percent 0.44444445 percent^3 0.08779149716119546 sequence Oz full OzOzOzOzzOOzzOzOOzO run 4 percent 0.42105263 percent^3 0.07464645158829157 sequence /; full /;/;/; run 3 percent 1.0 percent^3 1.0 sequence E1 full E1E1E1 run 3 percent 1.0 percent^3 1.0 sequence E6 full E6E6E6 run 3 percent 1.0 percent^3 1.0 sequence b6 full b6b6b6 run 3 percent 1.0 percent^3 1.0 sequence 7; full 7;7;7; run 3 percent 1.0 percent^3 1.0 sequence P7 full P7P7P7 run 3 percent 1.0 percent^3 1.0 sequence E; full E;E;E; run 3 percent 1.0 percent^3 1.0 sequence _; full _;_;_; run 3 percent 1.0 percent^3 1.0 sequence P_ full P_P_P_ run 3 percent 1.0 percent^3 1.0 sequence OF full OOFFOFOFOFOFFFOFOFOO run 4 percent 0.4 percent^3 0.06400000286102299 sequence |c full |c|c|c|c||cc|cc|c|c| run 4 percent 0.4 percent^3 0.06400000286102299 sequence p| full p|pppp|p|p|p|||p|p|p| run 4 percent 0.3809524 percent^3 0.05528560939533852 sequence 8/ full 8/8/8/8 run 3 percent 0.85714287 percent^3 0.6297376280970894 sequence >/ full >/>/>/> run 3 percent 0.85714287 percent^3 0.6297376280970894 sequence D/ full D/D/D/D run 3 percent 0.85714287 percent^3 0.6297376280970894 sequence Y/ full Y/Y/Y/Y run 3 percent 0.85714287 percent^3 0.6297376280970894 sequence Z/ full Z/Z/Z/Z run 3 percent 0.85714287 percent^3 0.6297376280970894 sequence >1 full >1>1>1> run 3 percent 0.85714287 percent^3 0.6297376280970894 sequence t6 full t6t6t6t run 3 percent 0.85714287 percent^3 0.6297376280970894 sequence >7 full >7>7>7> run 3 percent 0.85714287 percent^3 0.6297376280970894 sequence D7 full D7D7D7D run 3 percent 0.85714287 percent^3 0.6297376280970894 sequence Y7 full Y7Y7Y7Y run 3 percent 0.85714287 percent^3 0.6297376280970894 sequence Z7 full Z7Z7Z7Z run 3 percent 0.85714287 percent^3 0.6297376280970894 sequence 8_ full 8_8_8_8 run 3 percent 0.85714287 percent^3 0.6297376280970894 sequence D; full DD;D;D; run 3 percent 0.85714287 percent^3 0.6297376280970894 sequence >_ full >_>_>_> run 3 percent 0.85714287 percent^3 0.6297376280970894 sequence D_ full D_D_D_D run 3 percent 0.85714287 percent^3 0.6297376280970894 sequence ES full ESESESS run 3 percent 0.85714287 percent^3 0.6297376280970894 sequence Jb full JJbJbJb run 3 percent 0.85714287 percent^3 0.6297376280970894 sequence PS full PSPSPSS run 3 percent 0.85714287 percent^3 0.6297376280970894 sequence BO full BOBOOOBOBBOBBBBOBOBOBO run 4 percent 0.36363637 percent^3 0.04808415155675888 sequence Bc full BBccBcBBcBBccBcBcBcBBc run 4 percent 0.36363637 percent^3 0.04808415155675888 sequence 1C full 1C1C1CCC run 3 percent 0.75 percent^3 0.421875 sequence d; full ddd;d;d; run 3 percent 0.75 percent^3 0.421875 sequence EC full ECECECCC run 3 percent 0.75 percent^3 0.421875 sequence 8t full 8t8t8tt8 run 3 percent 0.75 percent^3 0.421875 sequence D9 full D9D9D99D run 3 percent 0.75 percent^3 0.421875 sequence Y9 full Y9Y9Y99Y run 3 percent 0.75 percent^3 0.421875 sequence DY full DYDYDYYD run 3 percent 0.75 percent^3 0.421875 sequence Df full DfDfDffD run 3 percent 0.75 percent^3 0.421875 sequence Dt full DtDtDttD run 3 percent 0.75 percent^3 0.421875 sequence YJ full YJJYJYJY run 3 percent 0.75 percent^3 0.421875 sequence ZS full ZSZSZSSZ run 3 percent 0.75 percent^3 0.421875 sequence St full SttStStS run 3 percent 0.75 percent^3 0.421875 sequence Yt full YtYtYttY run 3 percent 0.75 percent^3 0.421875 sequence *6 full ***6*6*6* run 3 percent 0.6666667 percent^3 0.2962963227872503 sequence <b full <<b<b<b<< run 3 percent 0.6666667 percent^3 0.2962963227872503 sequence ^b full ^^^b^b^b^ run 3 percent 0.6666667 percent^3 0.2962963227872503 sequence #J full ##J#J#JJ# run 3 percent 0.6666667 percent^3 0.2962963227872503 sequence S- full S---S-S-S run 3 percent 0.6666667 percent^3 0.2962963227872503 sequence k8 full k8k8k8kk8 run 3 percent 0.6666667 percent^3 0.2962963227872503 sequence >C full >C>C>CCC> run 3 percent 0.6666667 percent^3 0.2962963227872503 sequence >d full >ddd>d>d> run 3 percent 0.6666667 percent^3 0.2962963227872503 sequence ZC full ZCZCZCCCZ run 3 percent 0.6666667 percent^3 0.2962963227872503 sequence dD full dDddDdDdD run 3 percent 0.6666667 percent^3 0.2962963227872503 sequence yJ full yJJyJyJyy run 3 percent 0.6666667 percent^3 0.2962963227872503 sequence TS full TSTTSTSTS run 3 percent 0.6666667 percent^3 0.2962963227872503 sequence dY full dYddYdYdY run 3 percent 0.6666667 percent^3 0.2962963227872503 sequence yt full ytyytytyt run 3 percent 0.6666667 percent^3 0.2962963227872503 sequence Kb full KKKbKbKbKK run 3 percent 0.6 percent^3 0.21600002574920757 sequence *S full *S***S*S*S run 3 percent 0.6 percent^3 0.21600002574920757 sequence *f full *f**f*f*f* run 3 percent 0.6 percent^3 0.21600002574920757 sequence D. full D.D.D....D run 3 percent 0.6 percent^3 0.21600002574920757 sequence .f full .f.f.f...f run 3 percent 0.6 percent^3 0.21600002574920757 sequence D4 full D4D4D4444D run 3 percent 0.6 percent^3 0.21600002574920757 sequence Y4 full Y4Y4Y4444Y run 3 percent 0.6 percent^3 0.21600002574920757 sequence <S full <S<<<S<S<S run 3 percent 0.6 percent^3 0.21600002574920757 sequence GZ full GZGGGZGZGZ run 3 percent 0.6 percent^3 0.21600002574920757 sequence Gt full GGtGGtGtGt run 3 percent 0.6 percent^3 0.21600002574920757 sequence LJ full LLJLJLJJLL run 3 percent 0.6 percent^3 0.21600002574920757 sequence Vt full VVtVVtVtVt run 3 percent 0.6 percent^3 0.21600002574920757 sequence ^t full ^^t^^t^t^t run 3 percent 0.6 percent^3 0.21600002574920757 sequence U- full U-U-U-UU-- run 3 percent 0.6 percent^3 0.21600002574920757 sequence y- full y-y-y-yy-- run 3 percent 0.6 percent^3 0.21600002574920757 sequence yU full yUUyUyUyyU run 3 percent 0.6 percent^3 0.21600002574920757 sequence zb full zzzzbzbzbzzz run 3 percent 0.5 percent^3 0.125 sequence (f full (f(((f(f(f( run 3 percent 0.54545456 percent^3 0.16228401150406122 sequence KJ full KJKKJKJKJKK run 3 percent 0.54545456 percent^3 0.16228401150406122 sequence lJ full lJllJlJlJll run 3 percent 0.54545456 percent^3 0.16228401150406122 sequence Kt full KKtKKtKtKtK run 3 percent 0.54545456 percent^3 0.16228401150406122 sequence MS full MSMMMMSMSMS run 3 percent 0.54545456 percent^3 0.16228401150406122 sequence #. full #.##.#.#... run 3 percent 0.54545456 percent^3 0.16228401150406122 sequence L# full L#L##L#L#LL run 3 percent 0.54545456 percent^3 0.16228401150406122 sequence W) full W)W)W))WW)W run 3 percent 0.54545456 percent^3 0.16228401150406122 sequence T* full T***T*T*TT* run 3 percent 0.54545456 percent^3 0.16228401150406122 sequence V- full VV-V-V-VV-- run 3 percent 0.54545456 percent^3 0.16228401150406122 sequence ^- full ^^^--^-^-^- run 3 percent 0.54545456 percent^3 0.16228401150406122 sequence .y full .y.yy.y.y.. run 3 percent 0.54545456 percent^3 0.16228401150406122 sequence LC full LLCLLCLCLCC run 3 percent 0.54545456 percent^3 0.16228401150406122 sequence Ob full OOOObObObOOOO run 3 percent 0.46153846 percent^3 0.09831588676315468 sequence ^U full ^U^^UU^U^U^ run 3 percent 0.54545456 percent^3 0.16228401150406122 sequence ^d full ^d^d^dd^^^d run 3 percent 0.54545456 percent^3 0.16228401150406122 sequence ^k full ^k^k^k^^^kk run 3 percent 0.54545456 percent^3 0.16228401150406122 sequence #5 full ##5#5#55#555 run 3 percent 0.5 percent^3 0.125 sequence K- full KK-KK--K-K-K run 3 percent 0.5 percent^3 0.125 sequence d5 full dd5d5d55555d run 3 percent 0.5 percent^3 0.125 sequence TK full TKKKKTKTKTTK run 3 percent 0.5 percent^3 0.125 sequence Ky full KyKKyKyKyyKK run 3 percent 0.5 percent^3 0.125 sequence MU full MUMUMUUMMUMM run 3 percent 0.5 percent^3 0.125 sequence lN full lNllNllNlNlN run 3 percent 0.5 percent^3 0.125 sequence ld full ldldlddlllld run 3 percent 0.5 percent^3 0.125 sequence lk full lklklkllllkk run 3 percent 0.5 percent^3 0.125 sequence 2J full 2J2222J2J2J22 run 3 percent 0.46153846 percent^3 0.09831588676315468 sequence *4 full **4*4*444*4* run 3 percent 0.5 percent^3 0.125 sequence G* full G*G**GG*G*G* run 3 percent 0.5 percent^3 0.125 sequence V* full V**V*VV*V*V* run 3 percent 0.5 percent^3 0.125 sequence G. full G.GG.G.G...G run 3 percent 0.5 percent^3 0.125 sequence ^. full ^.^^.^.^..^. run 3 percent 0.5 percent^3 0.125 sequence V4 full VV4V4V44V44V run 3 percent 0.5 percent^3 0.125 sequence LG full LGGLGLGLGGLL run 3 percent 0.5 percent^3 0.125 sequence ^V full ^V^V^VV^^VV^ run 3 percent 0.5 percent^3 0.125 sequence +B full +BB++++++++++B++B+B+B+B++B+B++B++BB+ run 4 percent 0.22222222 percent^3 0.010973937145149432 sequence JF full JFFFJFJFJFFFFF run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence RN full RNRRNRRRNRNRN run 3 percent 0.46153846 percent^3 0.09831588676315468 sequence Rd full RdRdRddRRRRRd run 3 percent 0.46153846 percent^3 0.09831588676315468 sequence Rk full RkRkRkRRRRRkk run 3 percent 0.46153846 percent^3 0.09831588676315468 sequence (. full (.((.(.(..(.( run 3 percent 0.46153846 percent^3 0.09831588676315468 sequence L( full L((L(L(L((LL( run 3 percent 0.46153846 percent^3 0.09831588676315468 sequence ^( full ^((^^((^(^(^( run 3 percent 0.46153846 percent^3 0.09831588676315468 sequence *K full *K*K*KKK**K*K run 3 percent 0.46153846 percent^3 0.09831588676315468 sequence *M full *M*M*MM*M*M*M run 3 percent 0.46153846 percent^3 0.09831588676315468 sequence l* full l*l*l*ll*l*l* run 3 percent 0.46153846 percent^3 0.09831588676315468 sequence ^5 full ^^5^5^555^55^ run 3 percent 0.46153846 percent^3 0.09831588676315468 sequence <M full <MM<M<M<MM<<M run 3 percent 0.46153846 percent^3 0.09831588676315468 sequence VK full VKVKKVKVKVVKK run 3 percent 0.46153846 percent^3 0.09831588676315468 sequence ^K full ^K^K^KK^K^K^K run 3 percent 0.46153846 percent^3 0.09831588676315468 sequence z- full zz-zz-z-z-zz-z run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence 2y full 2y22222yy2y2y2 run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence yz full yzzzzyzyzyyzzz run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence R* full R**RR*RRR*R*R* run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence R< full R<RR<R<R<RRR<< run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence (5 full ((5(5(555(55(( run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence l( full l((ll((ll(l(l( run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence M5 full MM55M5M5M555MM run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence lK full lKlKlKKlKllKlK run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence |# full |##|#|#||#||||| run 3 percent 0.4 percent^3 0.06400000286102299 sequence UF full UFFFUFUFUFFFUFF run 3 percent 0.4 percent^3 0.06400000286102299 sequence kF full kFkFkFFFFFFFFkk run 3 percent 0.4 percent^3 0.06400000286102299 sequence yF full yFFFFyFyFyFFyFF run 3 percent 0.4 percent^3 0.06400000286102299 sequence dO full dOOdOdOdOOOOdOO run 3 percent 0.4 percent^3 0.06400000286102299 sequence Oy full OyOOOyOyOyyOOOO run 3 percent 0.4 percent^3 0.06400000286102299 sequence |U full |U|U|UU|||U|||| run 3 percent 0.4 percent^3 0.06400000286102299 sequence |d full |dd|d|d||||||d| run 3 percent 0.4 percent^3 0.06400000286102299 sequence 2* full 2**2*22222*2*2* run 3 percent 0.4 percent^3 0.06400000286102299 sequence *z full *z*z*zzz*z*zz*z run 3 percent 0.4 percent^3 0.06400000286102299 sequence 24 full 224222242424442 run 3 percent 0.4 percent^3 0.06400000286102299 sequence 2< full 2<2222<2<2<22<< run 3 percent 0.4 percent^3 0.06400000286102299 sequence ^2 full ^2^2^2222^2^2^2 run 3 percent 0.4 percent^3 0.06400000286102299 sequence z4 full zz4zz4z4z444zzz run 3 percent 0.4 percent^3 0.06400000286102299 sequence Vz full VzVzVzzzVzVVzzz run 3 percent 0.4 percent^3 0.06400000286102299 sequence ^z full ^z^z^zzz^z^z^zz run 3 percent 0.4 percent^3 0.06400000286102299 sequence p- full pppppp--p-p-pp-p run 3 percent 0.375 percent^3 0.052734375 sequence pU full ppUppppUUpUpUppp run 3 percent 0.375 percent^3 0.052734375 sequence py full ppyppppypypyyppp run 3 percent 0.375 percent^3 0.052734375 sequence R( full R((RR((RRR(R(R( run 3 percent 0.4 percent^3 0.06400000286102299 sequence Rl full RllRRlRlRlRRlRl run 3 percent 0.4 percent^3 0.06400000286102299 sequence B- full BB-B-B-BBBB-BBBB- run 3 percent 0.3529412 percent^3 0.04396499411627407 sequence |. full |.|.|||.|.|..||| run 3 percent 0.375 percent^3 0.052734375 sequence <F full <FFF<F<F<FFF<FF< run 3 percent 0.375 percent^3 0.052734375 sequence BC full BBCBBBBBBCBCBCBBC run 3 percent 0.3529412 percent^3 0.04396499411627407 sequence BU full BBUUBUBUBBBBUBBBB run 3 percent 0.3529412 percent^3 0.04396499411627407 sequence By full BByByByBByByBBBBB run 3 percent 0.3529412 percent^3 0.04396499411627407 sequence |G full |GG|G|G|||G|G||| run 3 percent 0.375 percent^3 0.052734375 sequence |L full |LL|L|L||||L|L|| run 3 percent 0.375 percent^3 0.052734375 sequence ^O full ^O^O^OO^OO^O^OOO run 3 percent 0.375 percent^3 0.052734375 sequence 2( full 2((22(2(222(2(2( run 3 percent 0.375 percent^3 0.052734375 sequence (z full ((zz(z(zzz(z(z(z run 3 percent 0.375 percent^3 0.052734375 sequence l2 full l2l2l2222l2ll22l run 3 percent 0.375 percent^3 0.052734375 sequence Kz full KzKzKzzKzKzzKzzK run 3 percent 0.375 percent^3 0.052734375 sequence lz full lzlzlzzzllzlzlzz run 3 percent 0.375 percent^3 0.052734375 sequence (F full ((FFF((FFFF(F(F(F run 3 percent 0.3529412 percent^3 0.04396499411627407 sequence |( full |((|(|(|||(|(|(|| run 3 percent 0.3529412 percent^3 0.04396499411627407 sequence c5 full c55cc5c55c5c5cccc run 3 percent 0.3529412 percent^3 0.04396499411627407 sequence KF full KKFFFKFKFKFFFKFFK run 3 percent 0.3529412 percent^3 0.04396499411627407 sequence |M full |MM||M|M|M||M||M| run 3 percent 0.3529412 percent^3 0.04396499411627407 sequence lO full lOlOlOOlOOllOlOOO run 3 percent 0.3529412 percent^3 0.04396499411627407 sequence lc full lcllcclclclccclcc run 3 percent 0.3529412 percent^3 0.04396499411627407 sequence R2 full R2R2R222R2R2RR22R run 3 percent 0.3529412 percent^3 0.04396499411627407 sequence Rz full RzRzRzzRzRRzRzRzz run 3 percent 0.3529412 percent^3 0.04396499411627407 sequence B. full B.B.BBB.BB.B.B.BBB run 3 percent 0.33333334 percent^3 0.03703704034840629 sequence B< full B<B<B<BB<BBBB<B<BB run 3 percent 0.33333334 percent^3 0.03703704034840629 sequence pM full ppMpppMpMppMMpMpMp run 3 percent 0.33333334 percent^3 0.03703704034840629 sequence RO full ROORROORORORROROOO run 3 percent 0.33333334 percent^3 0.03703704034840629 sequence R| full R|R|R|RR|R||R|R||| run 3 percent 0.33333334 percent^3 0.03703704034840629 sequence zF full zzFFFzzFzFFzFFzFzFz run 3 percent 0.31578946 percent^3 0.03149146730584553 sequence cz full czzczzczczccczczccz run 3 percent 0.31578946 percent^3 0.03149146730584553 sequence |z full |zz|z|zz||z||z|z|z| run 3 percent 0.31578946 percent^3 0.03149146730584553 sequence cF full cFFFcFcFcFFcFcccFcFc run 3 percent 0.3 percent^3 0.027000003218650946 sequence |O full |OO|O|OO|O|||O|O|OO| run 3 percent 0.3 percent^3 0.027000003218650946 sequence pF full pppppFpFFFpFpFFFpFpFp run 3 percent 0.2857143 percent^3 0.023323618288290535 sequence pO full ppOpppOpOOOppOOpOpOpO run 3 percent 0.2857143 percent^3 0.023323618288290535 sequence |B full |BB||BB|B|B|BB|BB||BB| run 3 percent 0.27272728 percent^3 0.020285501438007652 run 3 val 43.34193995551149 add 86.68387991102298 exp 1 run 4 val 20.16226134685914 add 80.64904538743656 exp 2 run 5 val 1.508922523996723 add 12.071380191973784 exp 3 run 6 val 2.2777539038145322 add 36.444062461032516 exp 4 run 7 val 1.0 add 32.0 exp 5 247.84836795146583
z340 L=3
sequence *9t full **9t*9t*9t*9t* run 4 percent 0.85714287 percent^3 0.6297376280970894 sequence ^*9 full ^*^*9^*9^*9^*9^* run 4 percent 0.75 percent^3 0.421875 sequence (#K full (#K(#K(#K(#KK#(K((K run 4 percent 0.6315789 percent^3 0.25193173844676425 sequence JMc full cMJMcJMcJMcJMcccMcccM run 4 percent 0.5714286 percent^3 0.18658894630632428 sequence VMl full lVMlVMlVMlVMlMlVVMlM run 4 percent 0.6 percent^3 0.21600002574920757 sequence -O< full O<OO-O<-O<-O<-O<O<O-O run 4 percent 0.5714286 percent^3 0.18658894630632428 sequence O<U full O<UOOUO<UO<UO<UO<O<OO run 4 percent 0.5714286 percent^3 0.18658894630632428 sequence O<K full O<KOKOKO<KO<KO<KO<O<OOK run 4 percent 0.5217391 percent^3 0.14202350197267916 sequence V|l full lV|lV|lV|lV|l||lVV|l||| run 4 percent 0.5217391 percent^3 0.14202350197267916 sequence KOM full OKMOKMOKOMKOMKOMKOMOOMOK run 4 percent 0.5 percent^3 0.125 sequence V|c full V|cV|cV|cV|c||ccVV|cc|c|c| run 4 percent 0.46153846 percent^3 0.09831588676315468 sequence 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sequence t*f full *f*t*ft*ft*ft* run 3 percent 0.64285713 percent^3 0.2656705433790609 sequence D.9 full D.9D.9D.9.9..D run 3 percent 0.64285713 percent^3 0.2656705433790609 sequence D.f full D.fD.fD.f...fD run 3 percent 0.64285713 percent^3 0.2656705433790609 sequence 9Vt full VV9tV9Vt9Vt9Vt run 3 percent 0.64285713 percent^3 0.2656705433790609 sequence 9^t full ^^9t^9^t9^t9^t run 3 percent 0.64285713 percent^3 0.2656705433790609 sequence DY4 full DY4DY4DY4444YD run 3 percent 0.64285713 percent^3 0.2656705433790609 sequence UJ- full UJ-UJ-UJ-UJU-- run 3 percent 0.64285713 percent^3 0.2656705433790609 sequence -Jy full yJ-Jy-Jy-Jyy-- run 3 percent 0.64285713 percent^3 0.2656705433790609 sequence yUJ full yUJUJyUJyUJyyU run 3 percent 0.64285713 percent^3 0.2656705433790609 sequence -Uy full yU-Uy-Uy-UyyU-- run 3 percent 0.6 percent^3 0.21600002574920757 sequence K<b full <KKK<bK<bK<bK<<K run 3 percent 0.5625 percent^3 0.177978515625 sequence bK^ full ^K^K^KbK^bK^bK^K run 3 percent 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0.177978515625 sequence bz^ full ^z^z^zzbz^bz^bz^zz run 3 percent 0.5 percent^3 0.125 sequence *MS full *MS*M*MM*MS*MS*MS run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence K^t full ^K^Kt^KK^tK^tK^tK run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence O<b full O<OOO<bO<bO<bO<O<OO run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence MKJ full KMJKMKJMKJMKJMKMMK run 3 percent 0.5 percent^3 0.125 sequence MlJ full lMJlMlJMlJMlJMlMlM run 3 percent 0.5 percent^3 0.125 sequence UJF full UJFFFUJFUJFUJFFFUFF run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence yJF full yJFFFJFyJFyJFyFFyFF run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence V(# full V(#(#V(#V(#V#(VV(( run 3 percent 0.5 percent^3 0.125 sequence K<y full <KyKK<yK<yK<yyK<<K run 3 percent 0.5 percent^3 0.125 sequence KOb full OKOKOKObKObKObKOOOOK run 3 percent 0.45 percent^3 0.09112499275803584 sequence VMU full VMUVMUVMUVUMMVVUMM run 3 percent 0.5 percent^3 0.125 sequence ^-K full ^K^K^-KK-^-K^-K^-K run 3 percent 0.5 percent^3 0.125 sequence *4^ full ^*^*4^*4^*4^44*4^* run 3 percent 0.5 percent^3 0.125 sequence (#5 full (#(#5(#5(#55#5(55(( run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence O-U full OUOO-UO-UO-UOU-OOO-O run 3 percent 0.45 percent^3 0.09112499275803584 sequence -Oy full OyOO-Oy-Oy-Oyy-OOO-O run 3 percent 0.45 percent^3 0.09112499275803584 sequence yUF full yUFFFUFyUFyUFyFFyUFF run 3 percent 0.45 percent^3 0.09112499275803584 sequence yUO full OyUOOUOyUOyUOyyUOOOO run 3 percent 0.45 percent^3 0.09112499275803584 sequence 2JM full 2MJ2M222JM2JM2JM2M2M run 3 percent 0.45 percent^3 0.09112499275803584 sequence (G. full G(.G((G.(G.(G..(.G( run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence L(G full LG(G(L(GL(GL(G(GLL( run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence V(G full VG(G(V(GV(GV(GVV(G( run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence ^*K full ^*K^*K^*KK^K*^*K^*K run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence *M^ full ^*M^*M^*M^M*M^*^M*M run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence VM4 full VMVM4VM4VM4M4V44VMM run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence ^M4 full ^M^M4^M4^M4M^444^MM run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence ^VM full ^VM^VM^VMV^MM^VV^MM run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence z^- full ^z^z^-zz-z^-z^-z^z-z run 3 percent 0.45 percent^3 0.09112499275803584 sequence zy4 full yzz4zzy4zy4zy44y4zzz run 3 percent 0.45 percent^3 0.09112499275803584 sequence FKJ full KJKFFFKJFKJFKJFFFKFFK run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence Jcl full lcJllcJclJclJclccclcc run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence *KM full *KM*KM*KMKMK*M*KM*MK run 3 percent 0.45 percent^3 0.09112499275803584 sequence l*K full l*Kl*Kl*KKlKl*l*Kl*K run 3 percent 0.45 percent^3 0.09112499275803584 sequence l*M full l*Ml*Ml*MlMl*Ml*Ml*M run 3 percent 0.45 percent^3 0.09112499275803584 sequence <MK full <KMKMK<MK<MK<MKM<<MK run 3 percent 0.45 percent^3 0.09112499275803584 sequence ^KM full ^KM^KM^KMK^MKM^K^MMK run 3 percent 0.45 percent^3 0.09112499275803584 sequence V|# full V|##V|#V|#V||#|VV|||| run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence -UB full BBU-UB-UB-UBBBBU-BBBB- run 3 percent 0.4090909 percent^3 0.06846355987190754 sequence By- full BBy-By-By-BByByB-BBBB- run 3 percent 0.4090909 percent^3 0.06846355987190754 sequence FU< full <UFFFU<FU<FU<FFFU<FF< run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence <Fy full <yFFF<Fy<Fy<FyFFy<FF< run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence O<y full O<yOOO<yO<yO<yyO<O<OO run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence V|U full V|UV|UV|UVU|||VVU|||| run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence ^2* full ^2*^*2^*2222^2*^2*^2* run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence ^*z full ^*z^*z^*zzz^*z^*z^z*z run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence ^Vz full ^Vz^Vz^VzzzV^z^VVz^zz run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence <-p full pp<pppp-<-p<-p<-p<p<-p run 3 percent 0.4090909 percent^3 0.06846355987190754 sequence <Up full pp<UppppU<Up<Up<Up<p<p run 3 percent 0.4090909 percent^3 0.06846355987190754 sequence p<y full pp<ypppp<yp<yp<yyp<p<p run 3 percent 0.4090909 percent^3 0.06846355987190754 sequence R*M full R*M*RMR*MRRMR*MR*MR*M run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence RK< full R<KRKRK<RK<RK<RRKR<<K run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence l5M full lMlM5l5Ml5Ml5M5l55MlM run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence lKM full lKMlKMlKMKlMKlMlKMlMK run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence |(# full |(#(#|(#|(#||#|(|(|(|| run 3 percent 0.4090909 percent^3 0.06846355987190754 sequence |#K full |#K#K|#K|#K|K|#||K|||K run 3 percent 0.4090909 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full 2*M*2M*222M2M2*M2*M2*M run 3 percent 0.4090909 percent^3 0.06846355987190754 sequence *Kz full *Kz*Kz*KzzKzK*z*zKz*zK run 3 percent 0.4090909 percent^3 0.06846355987190754 sequence l*z full l*zl*zl*zzzll*zl*zlz*z run 3 percent 0.4090909 percent^3 0.06846355987190754 sequence M24 full 2M2M4222M24M24M2444M2M run 3 percent 0.4090909 percent^3 0.06846355987190754 sequence 2<M full 2<M2M222<M2<M2<M2M2<<M run 3 percent 0.4090909 percent^3 0.06846355987190754 sequence ^Kz full ^Kz^Kz^KzzKz^Kz^zK^zzK run 3 percent 0.4090909 percent^3 0.06846355987190754 sequence zlV full lVzlVzlVzzzlVlzlVVzlzz run 3 percent 0.4090909 percent^3 0.06846355987190754 sequence MRK full RKMRKMRKMRKRMKRMRKMRMK run 3 percent 0.4090909 percent^3 0.06846355987190754 sequence cJF full cJFFFcJFcJFcJFFcFcccFcFc run 3 percent 0.375 percent^3 0.052734375 sequence (L| full |L((L|(L|(L|||(|(L|L(|| run 3 percent 0.39130434 percent^3 0.059916164894724025 sequence Mc4 full cMM4cMc4Mc4Mc4c44cMcccM run 3 percent 0.39130434 percent^3 0.059916164894724025 sequence FK< full <KKFFFK<FK<FK<FFFK<FF<K run 3 percent 0.39130434 percent^3 0.059916164894724025 sequence VMc full VcMVMcVMcVMcMccVVcMcccM run 3 percent 0.39130434 percent^3 0.059916164894724025 sequence V|( full V|((V|(V|(V|||(VV|(|(|| run 3 percent 0.39130434 percent^3 0.059916164894724025 sequence O<M full O<MOMOO<MO<MO<MOM<O<OMO run 3 percent 0.39130434 percent^3 0.059916164894724025 sequence ^OK full ^OK^OK^OKOK^OKO^KO^OOOK run 3 percent 0.39130434 percent^3 0.059916164894724025 sequence 2<R full R2<R2R222<R2<R2<RR22R<< run 3 percent 0.39130434 percent^3 0.059916164894724025 sequence lz( full l((zlzl(z(zzllz(lz(lz(z run 3 percent 0.39130434 percent^3 0.059916164894724025 sequence lKz full lKzlKzlKzzKzlKlzlzKlzzK run 3 percent 0.39130434 percent^3 0.059916164894724025 sequence RO< full RO<ORROO<RO<RO<RROR<O<OO run 3 percent 0.375 percent^3 0.052734375 sequence z24 full 2z2z422z2z24z24z2444z2zz run 3 percent 0.375 percent^3 0.052734375 sequence 2z^ full ^2z^2z^22z2z2z^2z^2z^2zz run 3 percent 0.375 percent^3 0.052734375 sequence |(K full |(K(K|(K|(K|K||(|K(|(||K run 3 percent 0.375 percent^3 0.052734375 sequence K|M full |KMKM|K|MK|MK|M||KM||M|K run 3 percent 0.375 percent^3 0.052734375 sequence lOK full lOKlOKlOKOKlOKOllKOlOOOK run 3 percent 0.375 percent^3 0.052734375 sequence Mcl full lcMlMlcMclMclMclccMclccM run 3 percent 0.375 percent^3 0.052734375 sequence l|M full l|MlM|l|Ml|Ml|M|l|Ml||M| run 3 percent 0.375 percent^3 0.052734375 sequence UOF full OUOFFOFUOFUOFUOFFFUOFOFOO run 3 percent 0.36 percent^3 0.046656005561828834 sequence yOF full OyOFFOFOFyOFyOFyFFyOFOFOO run 3 percent 0.36 percent^3 0.046656005561828834 sequence Rz( full R((zRzR(z(zRzRRz(Rz(Rz(z run 3 percent 0.375 percent^3 0.052734375 sequence RKz full RKzRKzRKzzRKzRKRzRzKRzzK run 3 percent 0.375 percent^3 0.052734375 sequence zc4 full czz4czzc4zc4zc4c44czczccz run 3 percent 0.36 percent^3 0.046656005561828834 sequence ^Oz full ^Oz^Oz^OzOzz^OOz^zO^zOOzO run 3 percent 0.36 percent^3 0.046656005561828834 sequence KOR full ROKORKROKORKORKORRKOROOOK run 3 percent 0.36 percent^3 0.046656005561828834 sequence (2z full 2((z2z2(2z(2z2z2z(2z(2z(z run 3 percent 0.36 percent^3 0.046656005561828834 sequence FO< full O<OFFOFO<FO<FO<FFFO<FOF<OO run 3 percent 0.34615386 percent^3 0.041477017406447214 sequence (Fz full ((zzFFF(z(zFzFFzF(Fz(Fz(Fz run 3 percent 0.34615386 percent^3 0.041477017406447214 sequence z|( full |((zz|(z|(zz||z|(|z(|z(|z| run 3 percent 0.34615386 percent^3 0.041477017406447214 sequence KzO full OKzOKzOKzOzKzOKOzzKOzOOzOK run 3 percent 0.34615386 percent^3 0.041477017406447214 sequence lOz full lOzlOzlOzOzzlOOlzlzOlzOOzO run 3 percent 0.34615386 percent^3 0.041477017406447214 sequence <Op full ppO<pppOpOO<Op<pO<Op<Op<OpO run 3 percent 0.33333334 percent^3 0.03703704034840629 sequence FKO full OKOKFFOFKOFKOFKOFFFKOFOFOOK run 3 percent 0.33333334 percent^3 0.03703704034840629 sequence c|M full |cMM|c|Mc|Mc|M|cc|cMc|c|cM| run 3 percent 0.33333334 percent^3 0.03703704034840629 sequence pO| full p|pOpppO|pO|OOp|pO|||Op|Op|OpO| run 3 percent 0.29032257 percent^3 0.02447047547320744 sequence FOp full ppOpppOFpFOFOFOpFpOFFFOpFOpFOpO run 3 percent 0.29032257 percent^3 0.02447047547320744 run 3 val 26.00877496731239 add 52.01754993462478 exp 1 run 4 val 2.586674121920547 add 10.346696487682188 exp 2 62.36424642230697
Posted : January 21, 2017 2:28 pm
j340_18%, symbolic form:
HER>p>l^EVPk|1L|^ TGp2dN+1B(H#OL%DW Y.N<R*lOKLf1)DPy: d<>VE^BPcMHEUZz%J R<SY17L83J_9tpj5N #1KdPl+(YJ%L#*Fz< c&4LDO5PVKd^L)zE^ yL>BE^+L%TS:HPZkR /1OKJ-Y&%L_C9:flE ^V<cTq|TfpPWpB(HO 1/J<G&*y&4SY5PZT- CR<k;LN83L2>+L77X l9:dcV4E(Ypt1O*|z fyL.BSH_*:5y@YJPR bl&VAB^^GT8pGL3<H P|d4zUHj&5<FdEES: TBYz/p>H^E1UMR^Et JWLK&%6+^5/T#lXVE ^PL-ZB/p;LDK;<d%1 GJ2zNO&6LD@HE^yf;
j340_18% L=2:
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6 percent 0.7058824 percent^3 0.35171995293019254 sequence HV full HVHVHVHVHVHVHHHVH run 6 percent 0.7058824 percent^3 0.35171995293019254 sequence Hl full HlHlHlHlHlHlHHHlH run 6 percent 0.7058824 percent^3 0.35171995293019254 sequence HB full HBHBHBHBHBHBHHBHBH run 6 percent 0.6666667 percent^3 0.2962963227872503 sequence pP full pPpPPpPPPpPpPpPpPpPp run 6 percent 0.6 percent^3 0.21600002574920757 sequence *S full *S*S*S*S*S run 5 percent 1.0 percent^3 1.0 sequence ND full NDNDNDNDND run 5 percent 1.0 percent^3 1.0 sequence P< full P<P<P<P<PP<P<P<P<P<P< run 6 percent 0.5714286 percent^3 0.18658894630632428 sequence *y full *y*y*y*y*yy run 5 percent 0.90909094 percent^3 0.7513148680743575 sequence >+ full >>+>+>+>+>+ run 5 percent 0.90909094 percent^3 0.7513148680743575 sequence yS full ySySySySySy run 5 percent 0.90909094 percent^3 0.7513148680743575 sequence VS full VVSVSVSVSVSV run 5 percent 0.8333333 percent^3 0.5787036623115902 sequence lS full llSlSlSlSlSl run 5 percent 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percent^3 1.0 sequence (* full (*(*(*(** run 4 percent 0.8888889 percent^3 0.7023319772895636 sequence +( full +(+(+(+(+ run 4 percent 0.8888889 percent^3 0.7023319772895636 sequence (S full (S(S(S(SS run 4 percent 0.8888889 percent^3 0.7023319772895636 sequence +c full +c+c+c+c+ run 4 percent 0.8888889 percent^3 0.7023319772895636 sequence S4 full S4S4S4S4S run 4 percent 0.8888889 percent^3 0.7023319772895636 sequence cS full cScScScSS run 4 percent 0.8888889 percent^3 0.7023319772895636 sequence (5 full (5(5(5(555 run 4 percent 0.8 percent^3 0.5120000228881839 sequence >( full >>(>(>(>(> run 4 percent 0.8 percent^3 0.5120000228881839 sequence (y full (y(y(y(yyy run 4 percent 0.8 percent^3 0.5120000228881839 sequence 54 full 5454545455 run 4 percent 0.8 percent^3 0.5120000228881839 sequence c5 full c5c5c5c555 run 4 percent 0.8 percent^3 0.5120000228881839 sequence +* full +*+*+*+**+ run 4 percent 0.8 percent^3 0.5120000228881839 sequence R4 full RRR4R4R4R4R run 4 percent 0.72727275 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percent^3 0.15170372743959903 sequence 1: full 111:11:1:1:1::11 run 4 percent 0.5 percent^3 0.125 sequence <5 full <<<5<5<<5<5<5<5< run 4 percent 0.5 percent^3 0.125 sequence B& full BB&B&B&&B&B&B&B& run 4 percent 0.5 percent^3 0.125 sequence T& full T&T&TT&&T&T&T&T& run 4 percent 0.5 percent^3 0.125 sequence d& full ddd&d&&&d&d&d&d& run 4 percent 0.5 percent^3 0.125 sequence BJ full BBJJJBJBJBJBBJBJ run 4 percent 0.5 percent^3 0.125 sequence dY full dYdYdYdYYdYYddYd run 4 percent 0.5 percent^3 0.125 sequence <z full <<z<z<z<<<z<z<z<z run 4 percent 0.47058824 percent^3 0.10421331278690127 sequence p& full ppp&&pp&&p&p&p&p& run 4 percent 0.47058824 percent^3 0.10421331278690127 sequence pT full pTppTTTppTpTpTpTp run 4 percent 0.47058824 percent^3 0.10421331278690127 sequence P% full P%PP%P%P%P%PPPP%P% run 4 percent 0.44444445 percent^3 0.08779149716119546 sequence <& full <<<<&&<<&&<&<&<&<& run 4 percent 0.44444445 percent^3 0.08779149716119546 sequence d< full d<d<<d<d<<<d<d<d<d run 4 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KZ full KZKKZKZKZK run 3 percent 0.6 percent^3 0.21600002574920757 sequence yZ full yZyZyZyyZy run 3 percent 0.6 percent^3 0.21600002574920757 sequence yc full yccycycyyy run 3 percent 0.6 percent^3 0.21600002574920757 sequence D* full D*D*D***DD run 3 percent 0.6 percent^3 0.21600002574920757 sequence |G full ||G|G|GG|G run 3 percent 0.6 percent^3 0.21600002574920757 sequence |S full ||SS|S|S|S run 3 percent 0.6 percent^3 0.21600002574920757 sequence |f full ||ff|f|f|f run 3 percent 0.6 percent^3 0.21600002574920757 sequence l# full l#l#l#lll#l run 3 percent 0.54545456 percent^3 0.16228401150406122 sequence %Z full %Z%%%Z%Z%Z% run 3 percent 0.54545456 percent^3 0.16228401150406122 sequence R( full R(RR(R(R(RR run 3 percent 0.54545456 percent^3 0.16228401150406122 sequence l( full l(ll(l(l(ll run 3 percent 0.54545456 percent^3 0.16228401150406122 sequence V4 full VV4VV4V4V4V run 3 percent 0.54545456 percent^3 0.16228401150406122 sequence RZ full RRZRZRZRRRZ run 3 percent 0.54545456 percent^3 0.16228401150406122 sequence VZ full VVZVZVZVVVZ run 3 percent 0.54545456 percent^3 0.16228401150406122 sequence lZ full llZlZlZlllZ run 3 percent 0.54545456 percent^3 0.16228401150406122 sequence *5 full *5*5*5**555 run 3 percent 0.54545456 percent^3 0.16228401150406122 sequence |5 full ||55|5|5|55 run 3 percent 0.54545456 percent^3 0.16228401150406122 sequence H9 full HHH9H9H9HHHHH run 3 percent 0.46153846 percent^3 0.09831588676315468 sequence :S full :SS::S:S:S: run 3 percent 0.54545456 percent^3 0.16228401150406122 sequence |: full ||:::|:|:|: run 3 percent 0.54545456 percent^3 0.16228401150406122 sequence >N full >>NN>N>N>>N run 3 percent 0.54545456 percent^3 0.16228401150406122 sequence DK full DKDKDKKKDKD run 3 percent 0.54545456 percent^3 0.16228401150406122 sequence d# full d#d#d#dddd#d run 3 percent 0.5 percent^3 0.125 sequence d( full d(dd(d(d(ddd run 3 percent 0.5 percent^3 0.125 sequence T4 full T4TTT4T4T4TT run 3 percent 0.5 percent^3 0.125 sequence Y4 full 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0.125 sequence 1( full 11(111(1(1(111 run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence H( full H(HH(H(H(HHHHH run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence d* full d*dd*d*d**ddd run 3 percent 0.46153846 percent^3 0.09831588676315468 sequence +B full +BB+B+B+BBB+B run 3 percent 0.46153846 percent^3 0.09831588676315468 sequence 1c full 111c11c1c1c111 run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence <4 full <<<<4<<4<4<4<< run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence NB full NBNBNBBNBBBBN run 3 percent 0.46153846 percent^3 0.09831588676315468 sequence TG full TGTTTGTGTGTTG run 3 percent 0.46153846 percent^3 0.09831588676315468 sequence HZ full HHHZHZHZHHHHZH run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence |J full ||JJJJ|J|J|JJ run 3 percent 0.46153846 percent^3 0.09831588676315468 sequence NY full NYNYNYYYNYYYN run 3 percent 0.46153846 percent^3 0.09831588676315468 sequence TS full TSTSTTSTSTSTT run 3 percent 0.46153846 percent^3 0.09831588676315468 sequence V5 full VV55VV5V5V55V run 3 percent 0.46153846 percent^3 0.09831588676315468 sequence :z full :zzz:::z:z:zz run 3 percent 0.46153846 percent^3 0.09831588676315468 sequence R> full R>>R>R>RR>R>R run 3 percent 0.46153846 percent^3 0.09831588676315468 sequence >l full >>ll>l>l>ll>l run 3 percent 0.46153846 percent^3 0.09831588676315468 sequence OK full OOKKOKOKOOKKO run 3 percent 0.46153846 percent^3 0.09831588676315468 sequence VK full VKVKVKKVVVKVK run 3 percent 0.46153846 percent^3 0.09831588676315468 sequence Vy full VyVVyVyVyyVVy run 3 percent 0.46153846 percent^3 0.09831588676315468 sequence pG full pGppppGpGpGppG run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence pS full ppSpSppSpSpSpp run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence :& full :&:&:&&::&&:&& run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence J5 full JJ5J5JJ55J5J5J run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence :J full :JJJ:J:J::J:JJ run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence >B full >>B>B>BB>BBB>B run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence YK full YKYKYKKYYYYYKK run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence O% full O%O%%O%O%OO%%O run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence R% full R%R%R%%R%RRR%% run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence l% full l%l%l%%%lll%l% run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence lO full lOlOlOOlOlOllO run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence 1/ full 11111/11/1/1//1 run 3 percent 0.4 percent^3 0.06400000286102299 sequence HN full HNHNHNHHNHHHHNH run 3 percent 0.4 percent^3 0.06400000286102299 sequence p: full pp:p::pp:p:p:pp run 3 percent 0.4 percent^3 0.06400000286102299 sequence %& full %%%&%&%&&&&&%%& run 3 percent 0.4 percent^3 0.06400000286102299 sequence V& full VV&V&V&&V&V&&V& run 3 percent 0.4 percent^3 0.06400000286102299 sequence BO full BOOBOBOBOOBBBBO run 3 percent 0.4 percent^3 0.06400000286102299 sequence Bz full BBzzzBBzBBzBzBz run 3 percent 0.4 percent^3 0.06400000286102299 sequence OJ full OOJJJOOJOJOJJJO run 3 percent 0.4 percent^3 0.06400000286102299 sequence Rd full RdRdRddRRdRddRd run 3 percent 0.4 percent^3 0.06400000286102299 sequence VY full VYVYYVYVYVYYVYV run 3 percent 0.4 percent^3 0.06400000286102299 sequence lY full lYlYlYYlYlYYlYl run 3 percent 0.4 percent^3 0.06400000286102299 sequence Yz full YzYYzzYYYzYzYzz run 3 percent 0.4 percent^3 0.06400000286102299 sequence H> full H>>H>H>HH>HHH>HH run 3 percent 0.375 percent^3 0.052734375 sequence pV full pVpVpVVppVpVppVp run 3 percent 0.375 percent^3 0.052734375 sequence pl full plplpllpplplpplp run 3 percent 0.375 percent^3 0.052734375 sequence J& full JJJ&J&J&&J&&J&J& run 3 percent 0.375 percent^3 0.052734375 sequence YJ full YJYJYJJYJYYYJYJJ run 3 percent 0.375 percent^3 0.052734375 sequence %< full %<<%<%<%%<<<<<%<% run 3 percent 0.3529412 percent^3 0.04396499411627407 sequence R1 full R11R1R11R11R1R1R1 run 3 percent 0.3529412 percent^3 0.04396499411627407 sequence R< full R<R<R<<R<<R<R<<R< run 3 percent 0.3529412 percent^3 0.04396499411627407 sequence ES full EEEESEESESESEESEEEE run 3 percent 0.31578946 percent^3 0.03149146730584553 sequence Ef full EEfEEEEfEfEfEEEEEEf run 3 percent 0.31578946 percent^3 0.03149146730584553 sequence HO full HHOOHOHOHOOHHHHOH run 3 percent 0.3529412 percent^3 0.04396499411627407 sequence Hz full HHHzzzHHzHHzHzHzH run 3 percent 0.3529412 percent^3 0.04396499411627407 sequence pB full ppBBpBppBpBBpBpBp run 3 percent 0.3529412 percent^3 0.04396499411627407 sequence pY full ppYYpYYppYYpYpYpp run 3 percent 0.3529412 percent^3 0.04396499411627407 sequence L; full LLLLLLLLLL;LLLLLLL;L;L; run 3 percent 0.26086956 percent^3 0.017752937746584894 sequence PO full POOPPPOPPOPOPOPPPO run 3 percent 0.33333334 percent^3 0.03703704034840629 sequence RP full 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EE:EEEE::E:E:EE:EEEE run 3 percent 0.3 percent^3 0.027000003218650946 sequence PJ full PPPJJPJPPJPJPJPPJPJ run 3 percent 0.31578946 percent^3 0.03149146730584553 sequence PT full PTPPPPTPTTPPTPTPTTP run 3 percent 0.31578946 percent^3 0.03149146730584553 sequence PY full PYPPYPYPPYPYPYYPPYP run 3 percent 0.31578946 percent^3 0.03149146730584553 sequence Pd full PdPdPdPPdPPPdPPddPd run 3 percent 0.31578946 percent^3 0.03149146730584553 sequence Hp full HppHHpHppHpHpHHpHpH run 3 percent 0.31578946 percent^3 0.03149146730584553 sequence L/ full LLLLLLLLL/L/LLLLL/L/L/LL run 3 percent 0.25 percent^3 0.015625 sequence EO full EEOOEEOEEOEOEOEEEEEOE run 3 percent 0.2857143 percent^3 0.023323618288290535 sequence ER full EREREEREEREREREEEREEE run 3 percent 0.2857143 percent^3 0.023323618288290535 sequence El full ElElEElEElElElEEEElEE run 3 percent 0.2857143 percent^3 0.023323618288290535 sequence ^V full ^V^V^V^^^^VVV^^^^^V^^ run 3 percent 0.2857143 percent^3 0.023323618288290535 sequence 1< full 11<1<<11<1<1<<1<<1<1 run 3 percent 0.3 percent^3 0.027000003218650946 sequence P1 full P111PP11PPP1P1P1PP1P1 run 3 percent 0.2857143 percent^3 0.023323618288290535 sequence EJ full EEEEJJJEEJEJEJEEEEJEJE run 3 percent 0.27272728 percent^3 0.020285501438007652 sequence EY full EEYEEYYEEYEYEYYEEYEEEE run 3 percent 0.27272728 percent^3 0.020285501438007652 sequence L5 full LLLL5LL5LLLL5LLLL5L5L5LLL run 3 percent 0.24 percent^3 0.013823999073028585 sequence L: full LLL:LLLLLL:L:LLL:L:L:LLLL run 3 percent 0.24 percent^3 0.013823999073028585 sequence L% full LL%L%L%LLLLL%%LLLLLLL%LL%L run 3 percent 0.23076923 percent^3 0.012289485845394335 sequence E1 full EE111EE11EE1E1E1EEE1EE1E run 3 percent 0.25 percent^3 0.015625 sequence HE full HEEHEHEEEHEHEHHHEEHEEEHE run 3 percent 0.25 percent^3 0.015625 sequence L& full LLLLL&LLLL&L&&LLLL&L&L&LL&L run 3 percent 0.22222222 percent^3 0.010973937145149432 sequence LT full LTLLLLLLLLTLTTTLLLLTLTLTLLL run 3 percent 0.22222222 percent^3 0.010973937145149432 sequence LY full LLYLYLYLLLLLYLYLLLYLYLYLLLL run 3 percent 0.22222222 percent^3 0.010973937145149432 sequence ^P full ^P^P^PPP^^^P^PPP^^P^^^^P^ run 3 percent 0.24 percent^3 0.013823999073028585 sequence pL full pLpLLLpLLLLLLppLLLpLpLpLLpLL run 3 percent 0.21428572 percent^3 0.009839650439017023 sequence PL full PLLLPPLPLLPLLLPLPPLLLLPLPLPLLL run 3 percent 0.2 percent^3 0.008000000357627874 sequence ^L full ^L^LL^LLL^L^L^LL^LLLL^^L^^L^^LLL^ run 3 percent 0.18181819 percent^3 0.00601051894459486 run 3 val 37.18179689533504 add 74.36359379067008 exp 1 run 4 val 20.09415906057281 add 80.37663624229124 exp 2 run 5 val 8.599027545316805 add 68.79222036253444 exp 3 run 6 val 5.492837038605475 add 87.8853926176876 exp 4 run 7 val 3.8130370474214907 add 122.0171855174877 exp 5 run 8 val 0.8889209235958879 add 56.89093911013683 exp 6 490.3259676408079
j340_18% L=3:
sequence RlV full RlVRlVRlVRlVRlVRlVRlV run 7 percent 1.0 percent^3 1.0 sequence dz5 full ddz5dz5dz5dz5dz5dz5dz run 6 percent 0.85714287 percent^3 0.6297376280970894 sequence RVB full RVBRVBRVBRVBRVBRVBBRVB run 6 percent 0.8181818 percent^3 0.5477084789752603 sequence RlB full RlBRlBRlBRlBRlBRlBBRlB run 6 percent 0.8181818 percent^3 0.5477084789752603 sequence lVB full lVBlVBlVBlVBlVBlVBBlVB run 6 percent 0.8181818 percent^3 0.5477084789752603 sequence HRV full HRVHRVHRVHRVHRVHRVHHHRVH run 6 percent 0.75 percent^3 0.421875 sequence HRl full HRlHRlHRlHRlHRlHRlHHHRlH run 6 percent 0.75 percent^3 0.421875 sequence HlV full HlVHlVHlVHlVHlVHlVHHHlVH run 6 percent 0.75 percent^3 0.421875 sequence HRB full HRBHRBHRBHRBHRBHRBHHBHRBH run 6 percent 0.72 percent^3 0.37324804449463067 sequence HVB full HVBHVBHVBHVBHVBHVBHHBHVBH run 6 percent 0.72 percent^3 0.37324804449463067 sequence HlB full HlBHlBHlBHlBHlBHlBHHBHlBH run 6 percent 0.72 percent^3 0.37324804449463067 sequence *yS full *yS*yS*yS*yS*ySy run 5 percent 0.9375 percent^3 0.823974609375 sequence lVS full lVlVSlVSlVSlVSlVSlV run 5 percent 0.7894737 percent^3 0.492054288102964 sequence VBS full VBVBSVBSVBSVBSVBSBVB run 5 percent 0.75 percent^3 0.421875 sequence lBS full lBlBSlBSlBSlBSlBSBlB run 5 percent 0.75 percent^3 0.421875 sequence lV1 full lV11l1V11lV1lV1lV1lV1lV1 run 5 percent 0.625 percent^3 0.244140625 sequence 1JV full V111VJ1J1JV1JV1JV1JV1JV1J run 5 percent 0.6 percent^3 0.21600002574920757 sequence +(* full +(*+(*+(*+(**+ run 4 percent 0.85714287 percent^3 0.6297376280970894 sequence (*S full (*S(*S(*S(*S*S run 4 percent 0.85714287 percent^3 0.6297376280970894 sequence >(* full >>(*>(*>(*>(**> run 4 percent 0.8 percent^3 0.5120000228881839 sequence (*y full (*y(*y(*y(*y*yy run 4 percent 0.8 percent^3 0.5120000228881839 sequence +(5 full +(5+(5+(5+(55+5 run 4 percent 0.8 percent^3 0.5120000228881839 sequence +(y full +(y+(y+(y+(yy+y run 4 percent 0.8 percent^3 0.5120000228881839 sequence (yS full (yS(yS(yS(ySySy run 4 percent 0.8 percent^3 0.5120000228881839 sequence +c5 full +c5+c5+c5+c55+5 run 4 percent 0.8 percent^3 0.5120000228881839 sequence >+( full >>+(>+(>+(>+(>+ run 4 percent 0.8 percent^3 0.5120000228881839 sequence 4SR full RRRS4SR4SR4SR4SR run 4 percent 0.75 percent^3 0.421875 sequence Sl4 full llSl4Sl4Sl4Sl4Sl run 4 percent 0.75 percent^3 0.421875 sequence lcS full llcSlcSlcSlcSlSl run 4 percent 0.75 percent^3 0.421875 sequence >(y full >>(y>(y>(y>(yy>y run 4 percent 0.75 percent^3 0.421875 sequence >+* full >>+*>+*>+*>+**>+ run 4 percent 0.75 percent^3 0.421875 sequence +*y full +*y+*y+*y+*y*y+y run 4 percent 0.75 percent^3 0.421875 sequence 45R full RRR545R45R45R45R5 run 4 percent 0.7058824 percent^3 0.35171995293019254 sequence 5l4 full ll5l45l45l45l455l run 4 percent 0.7058824 percent^3 0.35171995293019254 sequence lc5 full llc5lc5lc5lc5l55l run 4 percent 0.7058824 percent^3 0.35171995293019254 sequence >*y full >>*y>*y>*y>*y*y>y run 4 percent 0.7058824 percent^3 0.35171995293019254 sequence >+y full >>+y>+y>+y>+yy>+y run 4 percent 0.7058824 percent^3 0.35171995293019254 sequence 5d4 full dd5d45d45d45d45d5d run 4 percent 0.6666667 percent^3 0.2962963227872503 sequence dc5 full ddc5dc5dc5dc5d5d5d run 4 percent 0.6666667 percent^3 0.2962963227872503 sequence Rl4 full RlRlRl4Rl4Rl4Rl4Rl run 4 percent 0.6666667 percent^3 0.2962963227872503 sequence Rlc full RlRlcRlcRlcRlcRlRl run 4 percent 0.6666667 percent^3 0.2962963227872503 sequence R*y full RR*yR*yR*yR*y*yRRy run 4 percent 0.6666667 percent^3 0.2962963227872503 sequence lyS full llySlySlySlySylSly run 4 percent 0.6666667 percent^3 0.2962963227872503 sequence VSR full RVRVRSVSRVSRVSRVSRV run 4 percent 0.6315789 percent^3 0.25193173844676425 sequence lSR full RlRlRSlSRlSRlSRlSRl run 4 percent 0.6315789 percent^3 0.25193173844676425 sequence HRc full HRHRcHRcHRcHRcHRHHHRH run 4 percent 0.5714286 percent^3 0.18658894630632428 sequence Hlc full HlHlcHlcHlcHlcHlHHHlH run 4 percent 0.5714286 percent^3 0.18658894630632428 sequence l5R full RlRlR5l5Rl5Rl5Rl5R5l run 4 percent 0.6 percent^3 0.21600002574920757 sequence Rly full RlRlyRlyRlyRlyyRlRly run 4 percent 0.6 percent^3 0.21600002574920757 sequence d%K full d%Kd%Kd%Kd%K%dddK%Kd% run 4 percent 0.5714286 percent^3 0.18658894630632428 sequence Tz5 full Tz5z5zTTT5Tz5Tz5Tz5Tz run 4 percent 0.5714286 percent^3 0.18658894630632428 sequence Kdz full dKdzKdzKdzKdzdzdzKKdz run 4 percent 0.5714286 percent^3 0.18658894630632428 sequence lVJ full lVlVJJlJVJlVJlVJlVJlVJ run 4 percent 0.54545456 percent^3 0.16228401150406122 sequence HR: full HRHR:HR:HR:HR:H:RHH:HRH run 4 percent 0.5217391 percent^3 0.14202350197267916 sequence 5<z full <<z<5z<5z<<5<z5<z5<z5<z run 4 percent 0.5217391 percent^3 0.14202350197267916 sequence p5T full pTpp55TTTpp5Tp5Tp5Tp5Tp run 4 percent 0.5217391 percent^3 0.14202350197267916 sequence dz& full ddzdz&dz&&&dz&dz&dz&dz& run 4 percent 0.5217391 percent^3 0.14202350197267916 sequence JVB full VBVBJJJVBJVBJVBJVBBJVBJ run 4 percent 0.5217391 percent^3 0.14202350197267916 sequence &Tz full Tzz&zT&TT&&Tz&Tz&Tz&Tz& run 4 percent 0.5217391 percent^3 0.14202350197267916 sequence 5<d full d<d<<5d<5d<<5<d5<d5<d5<d run 4 percent 0.5 percent^3 0.125 sequence l1J full l11l1J1J1lJ1Jl1Jl1Jl1Jl1J run 4 percent 0.48 percent^3 0.11059199258422868 sequence <dz full d<d<z<dz<dz<<<dz<dz<dz<dz run 4 percent 0.48 percent^3 0.11059199258422868 sequence VHJ full HVHVHJJJVHJVHJVHJVHHHJVJH run 4 percent 0.48 percent^3 0.11059199258422868 sequence z&< full <<z<z<&z&<<&&<z&<z&<z&<z& run 4 percent 0.48 percent^3 0.11059199258422868 sequence p&T full pTpp&T&TTpp&&Tp&Tp&Tp&Tp& run 4 percent 0.48 percent^3 0.11059199258422868 sequence d&< full d<d<<d<&d&<<&&<d&<d&<d&<d& run 4 percent 0.46153846 percent^3 0.09831588676315468 sequence BHJ full HBHBHJJJBHJBHJBHJBHHBHJBJH run 4 percent 0.46153846 percent^3 0.09831588676315468 sequence 83t full 83t83t83t run 3 percent 1.0 percent^3 1.0 sequence 9(- full (9(-9(-9(- run 3 percent 0.9 percent^3 0.7289999420642868 sequence 9c- full c9c-9c-9c- run 3 percent 0.9 percent^3 0.7289999420642868 sequence k94 full k94k94k944 run 3 percent 0.9 percent^3 0.7289999420642868 sequence |83 full ||83|83|83| run 3 percent 0.8181818 percent^3 0.5477084789752603 sequence Z94 full Z94Z94Z944Z run 3 percent 0.8181818 percent^3 0.5477084789752603 sequence 9c4 full c9c49c49c44 run 3 percent 0.8181818 percent^3 0.5477084789752603 sequence (Z9 full (Z9(Z9(Z9(Z run 3 percent 0.8181818 percent^3 0.5477084789752603 sequence cZ9 full cZ9cZ9cZ9cZ run 3 percent 0.8181818 percent^3 0.5477084789752603 sequence >83 full >>>83>83>83> run 3 percent 0.75 percent^3 0.421875 sequence (*9 full (*9(*9(*9(** run 3 percent 0.75 percent^3 0.421875 sequence 9(/ full (9(/9(/9(/// run 3 percent 0.75 percent^3 0.421875 sequence (S9 full (S9(S9(S9(SS run 3 percent 0.75 percent^3 0.421875 sequence *Z9 full *Z9*Z9*Z9**Z run 3 percent 0.75 percent^3 0.421875 sequence 9c/ full c9c/9c/9c/// run 3 percent 0.75 percent^3 0.421875 sequence cS9 full cS9cS9cS9cSS run 3 percent 0.75 percent^3 0.421875 sequence S94 full S94S94S94S4S run 3 percent 0.75 percent^3 0.421875 sequence Zc4 full cZc4Zc4Zc44Z run 3 percent 0.75 percent^3 0.421875 sequence (>9 full >>(>9(>9(>9(> run 3 percent 0.6923077 percent^3 0.3318161392515777 sequence (y9 full (y9(y9(y9(yyy run 3 percent 0.6923077 percent^3 0.3318161392515777 sequence :Z9 full :Z9:Z9:Z9:::Z run 3 percent 0.6923077 percent^3 0.3318161392515777 sequence 9c> full >>>c9c>9c>9c> run 3 percent 0.6923077 percent^3 0.3318161392515777 sequence yZ9 full yZ9yZ9yZ9yyZy run 3 percent 0.6923077 percent^3 0.3318161392515777 sequence 9cy full yc9cy9cy9cyyy run 3 percent 0.6923077 percent^3 0.3318161392515777 sequence >94 full >>>94>94>944> run 3 percent 0.6923077 percent^3 0.3318161392515777 sequence *S9 full *S9*S9*S9*S*S run 3 percent 0.6923077 percent^3 0.3318161392515777 sequence |G8 full ||G8|G8|G8G|G run 3 percent 0.6923077 percent^3 0.3318161392515777 sequence (*Z full (*Z(*Z(*Z(**Z run 3 percent 0.6923077 percent^3 0.3318161392515777 sequence +c4 full +c+c4+c4+c44+ run 3 percent 0.6923077 percent^3 0.3318161392515777 sequence Sc4 full cSc4Sc4Sc4S4S run 3 percent 0.6923077 percent^3 0.3318161392515777 sequence R9( full R(RR9(R9(R9(RR run 3 percent 0.64285713 percent^3 0.2656705433790609 sequence R94 full RRR94R94R94R4R run 3 percent 0.64285713 percent^3 0.2656705433790609 sequence ZR9 full RRZR9ZR9ZR9RRZ run 3 percent 0.64285713 percent^3 0.2656705433790609 sequence cR9 full RRcR9cR9cR9cRR run 3 percent 0.64285713 percent^3 0.2656705433790609 sequence VZ9 full VVZ9VZ9VZ9VVVZ run 3 percent 0.64285713 percent^3 0.2656705433790609 sequence ZR_ full RRZR_ZR_ZR_RRZ run 3 percent 0.64285713 percent^3 0.2656705433790609 sequence *>9 full >>*>9*>9*>9**> run 3 percent 0.64285713 percent^3 0.2656705433790609 sequence *y9 full *y9*y9*y9*y*yy run 3 percent 0.64285713 percent^3 0.2656705433790609 sequence N>9 full >>NN>9N>9N>9>N run 3 percent 0.64285713 percent^3 0.2656705433790609 sequence yS9 full yS9yS9yS9ySySy run 3 percent 0.64285713 percent^3 0.2656705433790609 sequence N>_ full >>NN>_N>_N>_>N run 3 percent 0.64285713 percent^3 0.2656705433790609 sequence (yZ full (yZ(yZ(yZ(yyZy run 3 percent 0.64285713 percent^3 0.2656705433790609 sequence 5c4 full c5c45c45c45455 run 3 percent 0.64285713 percent^3 0.2656705433790609 sequence 9cB full BBc9cB9cB9cBBBB run 3 percent 0.6 percent^3 0.21600002574920757 sequence BZ9 full BBZ9BZ9BZ9BBBZB run 3 percent 0.6 percent^3 0.21600002574920757 sequence Zcy full ycZcyZcyZcyyZy run 3 percent 0.64285713 percent^3 0.2656705433790609 sequence *R9 full RR*R9*R9*R9**RR run 3 percent 0.6 percent^3 0.21600002574920757 sequence VS9 full VVS9VS9VS9VSVSV run 3 percent 0.6 percent^3 0.21600002574920757 sequence 9SR full RRRS9SR9SR9SRSR run 3 percent 0.6 percent^3 0.21600002574920757 sequence y>9 full >>y>9y>9y>9yy>y run 3 percent 0.6 percent^3 0.21600002574920757 sequence ZR( full R(RZR(ZR(ZR(RRZ run 3 percent 0.6 percent^3 0.21600002574920757 sequence Zl( full l(lZl(Zl(Zl(llZ run 3 percent 0.6 percent^3 0.21600002574920757 sequence ZR4 full RRZR4ZR4ZR4R4RZ run 3 percent 0.6 percent^3 0.21600002574920757 sequence Rc4 full RRcRc4Rc4Rc4R4R run 3 percent 0.6 percent^3 0.21600002574920757 sequence Zl4 full llZl4Zl4Zl4l4lZ run 3 percent 0.6 percent^3 0.21600002574920757 sequence lc4 full llclc4lc4lc4l4l run 3 percent 0.6 percent^3 0.21600002574920757 sequence RcZ full RRcZRcZRcZRcRRZ run 3 percent 0.6 percent^3 0.21600002574920757 sequence lcZ full llcZlcZlcZlcllZ run 3 percent 0.6 percent^3 0.21600002574920757 sequence (*5 full (*5(*5(*5(**555 run 3 percent 0.6 percent^3 0.21600002574920757 sequence +c> full >>+>c+c>+c>+c>+ run 3 percent 0.6 percent^3 0.21600002574920757 sequence +cy full +yc+cy+cy+cyy+y run 3 percent 0.6 percent^3 0.21600002574920757 sequence 4S: full :S4S::4S:4S:4S: run 3 percent 0.6 percent^3 0.21600002574920757 sequence BS9 full BBS9BS9BS9BSBSBB run 3 percent 0.5625 percent^3 0.177978515625 sequence HZ9 full HHHZ9HZ9HZ9HHHHZH run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence cH9 full HHcH9cH9cH9cHHHHH run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence Scy full ycScyScyScySySy run 3 percent 0.6 percent^3 0.21600002574920757 sequence H9( full H(HH9(H9(H9(HHHHH run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence *yZ full *yZ*yZ*yZ*y*yZy run 3 percent 0.6 percent^3 0.21600002574920757 sequence 5+4 full +5+45+45+4545+5 run 3 percent 0.6 percent^3 0.21600002574920757 sequence >+4 full >>+>+4>+4>+44>+ run 3 percent 0.6 percent^3 0.21600002574920757 sequence :R9 full RR:R9:R9:R9::R:R run 3 percent 0.5625 percent^3 0.177978515625 sequence yR9 full RRyR9yR9yR9yyRRy run 3 percent 0.5625 percent^3 0.177978515625 sequence 9Vy full VyV9Vy9Vy9VyyVVy run 3 percent 0.5625 percent^3 0.177978515625 sequence Yc4 full YcYYc4Yc4Yc4YY4Y run 3 percent 0.5625 percent^3 0.177978515625 sequence dc4 full ddcdc4dc4dc4d4dd run 3 percent 0.5625 percent^3 0.177978515625 sequence ZcB full BBcZcBZcBZcBBBZB run 3 percent 0.5625 percent^3 0.177978515625 sequence *R( full R(R*R(*R(*R(**RR run 3 percent 0.5625 percent^3 0.177978515625 sequence (SR full R(RRS(SR(SR(SRSR run 3 percent 0.5625 percent^3 0.177978515625 sequence Sl( full l(lSl(Sl(Sl(SlSl run 3 percent 0.5625 percent^3 0.177978515625 sequence R*Z full RR*ZR*ZR*ZR**RRZ run 3 percent 0.5625 percent^3 0.177978515625 sequence SV4 full VVS4VSV4SV4SV4SV run 3 percent 0.5625 percent^3 0.177978515625 sequence cSR full RRcRScSRcSRcSRSR run 3 percent 0.5625 percent^3 0.177978515625 sequence l(* full l(*ll(*l(*l(**ll run 3 percent 0.5625 percent^3 0.177978515625 sequence Zl* full l*lZl*Zl*Zl**llZ run 3 percent 0.5625 percent^3 0.177978515625 sequence lcf full llfclcflcflcfllf run 3 percent 0.5625 percent^3 0.177978515625 sequence VR9 full RVRVR9VR9VR9VRVRV run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence +*5 full +*5+*5+*5+**55+5 run 3 percent 0.5625 percent^3 0.177978515625 sequence :|S full ||:SS::|S:|S:|S: run 3 percent 0.5625 percent^3 0.177978515625 sequence d(* full d(*dd(*d(*d(**ddd run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence HZ( full H(HHZ(HZ(HZ(HHHHZH run 3 percent 0.5 percent^3 0.125 sequence +cB full +BBc+cB+cB+cBBB+B run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence T4S full TS4TSTT4ST4ST4STT run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence ScB full BBcScBScBScBSBSBB run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence cHZ full HHcHZcHZcHZcHHHHZH run 3 percent 0.5 percent^3 0.125 sequence K%Z full %KZ%K%K%ZK%ZK%ZK% run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence (5R full R(RR5(5R(5R(5R5R5 run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence 5l( full l(l5l(5l(5l(5l55l run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence >l( full >>l(l>l(>l(>l(l>l run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence yR( full R(RyR(yR(yR(yyRRy run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence yl( full l(lyl(yl(yl(yylly run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence 45V full VV545VV45V45V455V run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence :V4 full V:V4V::V4:V4:V4:V run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence >l4 full >>ll>l4>l4>l4l4>l run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence c5R full RRcR5c5Rc5Rc5R5R5 run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence BR9 full RBRBR9BR9BR9BRBBRB run 3 percent 0.5 percent^3 0.125 sequence VB9 full VBVB9VB9VB9VBVBBVB run 3 percent 0.5 percent^3 0.125 sequence R:Z full RR:ZR:ZR:ZR::R:RZ run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence RyZ full RRyZRyZRyZRyyRRZy run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence Rcy full RRycRcyRcyRcyyRRy run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence ZVy full VyVZVyZVyZVyyVVZy run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence lyZ full llyZlyZlyZlyyllZy run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence lcy full llyclcylcylcyylly run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence DR* full RDR*DR*DR*R**RRDD run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence Sl* full l*lSl*Sl*Sl*S*lSl run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence SR| full R||RRSSR|SR|SR|SR run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence SV| full V||VSVSV|SV|SV|SV run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence Sl| full l||lSlSl|Sl|Sl|Sl run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence |fV full V||fVVfV|fV|fV|Vf run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence fl| full l||lflfl|fl|fl|lf run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence :H9 full HH:H9:H9:H9:H:HH:HH run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence yS: full y:SyS::yS:yS:yS:y run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence #Kd full d#Kd#Kd#KdKdddK#Kd run 3 percent 0.5 percent^3 0.125 sequence 5d( full d(d5d(5d(5d(5d5d5d run 3 percent 0.5 percent^3 0.125 sequence 45T full T545TTT45T45T45T5T run 3 percent 0.5 percent^3 0.125 sequence Rl( full Rl(RlRl(Rl(Rl(RlRl run 3 percent 0.5 percent^3 0.125 sequence RV4 full RVRVR4VRV4RV4RV4RV run 3 percent 0.5 percent^3 0.125 sequence lV4 full lVlVl4VlV4lV4lV4lV run 3 percent 0.5 percent^3 0.125 sequence RVZ full RVRVZRVZRVZRVRVRVZ run 3 percent 0.5 percent^3 0.125 sequence RlZ full RlRlZRlZRlZRlRlRlZ run 3 percent 0.5 percent^3 0.125 sequence lVZ full lVlVZlVZlVZlVlVlVZ run 3 percent 0.5 percent^3 0.125 sequence 5l* full l*l5l*5l*5l**5l55l run 3 percent 0.5 percent^3 0.125 sequence >R* full R>>R*>R*>R*R>**R>R run 3 percent 0.5 percent^3 0.125 sequence >l* full >>l*l>l*>l*>l**l>l run 3 percent 0.5 percent^3 0.125 sequence yl* full l*lyl*yl*yl*y*ylly run 3 percent 0.5 percent^3 0.125 sequence +Vy full V+yV+Vy+Vy+VyyV+Vy run 3 percent 0.5 percent^3 0.125 sequence 5R| full R||RR55R|5R|5R|5R5 run 3 percent 0.5 percent^3 0.125 sequence V|5 full V||V55VV|5V|5V|55V run 3 percent 0.5 percent^3 0.125 sequence 5l| full l||l5l5l|5l|5l|55l run 3 percent 0.5 percent^3 0.125 sequence HR9 full HRHRHR9HR9HR9HRHHHRH run 3 percent 0.45 percent^3 0.09112499275803584 sequence VH9 full HVHVH9VH9VH9VHVHHHVH run 3 percent 0.45 percent^3 0.09112499275803584 sequence :VS full V:VSVS::VS:VS:VS:V run 3 percent 0.5 percent^3 0.125 sequence :zS full :zSzzS::S:zS:zS:zz run 3 percent 0.5 percent^3 0.125 sequence SVy full VyVSVySVySVySyVSVy run 3 percent 0.5 percent^3 0.125 sequence |:V full V||:VV::V|:V|:V|:V run 3 percent 0.5 percent^3 0.125 sequence RBZ full RBRBZRBZRBZRBRBBRZB run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence RcB full RBRBcRcBRcBRcBRBBRB run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence VBZ full VBVBZVBZVBZVBVBBVZB run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence lBZ full lBlBZlBZlBZlBlBBlZB run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence lcB full lBlBclcBlcBlcBlBBlB run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence lcJ full llcJJlJcJlcJlcJlJlJ run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence 5d* full d*d5d*5d*5d**5d5d5d run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence <45 full <<<5<45<<45<45<45<5< run 3 percent 0.45 percent^3 0.09112499275803584 sequence BH9 full HBHBH9BH9BH9BHBHHBHBH run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence :BS full B:BSBS::BS:BS:BS:BB run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence :HZ full HH:HZ:HZ:HZ:H:HH:HZH run 3 percent 0.45 percent^3 0.09112499275803584 sequence Rl* full RlR*lRl*Rl*Rl**RlRl run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence RlD full RlDRlDRlDRlRlRlRlDD run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence RV| full RV||RVRVRV|RV|RV|RV run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence Rl| full Rl||RlRlRl|Rl|Rl|Rl run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence lVf full lVlfVlVflVflVflVlVf run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence lV| full lV||lVlVlV|lV|lV|lV run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence >Ry full R>>Ry>Ry>RyR>yyR>Ry run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence >ly full >>lly>ly>ly>lyyl>ly run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence JcB full BBcJJJcBJcBJcBJBBJBJ run 3 percent 0.45 percent^3 0.09112499275803584 sequence pS: full pp:SpS::ppS:pS:pS:pp run 3 percent 0.45 percent^3 0.09112499275803584 sequence 1l( full l11(l111l(1l(1l(1l1l1 run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence HR( full HR(HRHR(HR(HR(HRHHHRH run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence Hl( full Hl(HlHl(Hl(Hl(HlHHHlH run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence B+V full V+BVB+VB+VB+VBVBB+VB run 3 percent 0.45 percent^3 0.09112499275803584 sequence 1lc full l11l1c11lc1lc1lc1l1l1 run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence BSR full RBRBRSBSRBSRBSRBSBRB run 3 percent 0.45 percent^3 0.09112499275803584 sequence RHZ full HRHRHZRHZRHZRHRHHHRZH run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence VHZ full HVHVHZVHZVHZVHVHHHVZH run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence lHZ full HlHlHZlHZlHZlHlHHHlZH run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence JV| full V||VJJJVJV|JV|JV|JVJ run 3 percent 0.45 percent^3 0.09112499275803584 sequence Jl| full l||lJJlJJl|Jl|Jl|JlJ run 3 percent 0.45 percent^3 0.09112499275803584 sequence TzS full TzSzzTSTTSTzSTzSTzTz run 3 percent 0.45 percent^3 0.09112499275803584 sequence OK% full O%OK%K%OK%OK%OOK%K%O run 3 percent 0.45 percent^3 0.09112499275803584 sequence RV5 full RVRVR55VRV5RV5RV5R5V run 3 percent 0.45 percent^3 0.09112499275803584 sequence lV5 full lVlV5l5VlV5lV5lV55lV run 3 percent 0.45 percent^3 0.09112499275803584 sequence RO: full RORO:RO:RO:OR:O:R:RO run 3 percent 0.45 percent^3 0.09112499275803584 sequence O:V full VOO:VOV:O:VO:VO:V:VO run 3 percent 0.45 percent^3 0.09112499275803584 sequence RVy full RVRyVRVyRVyRVyyRVRVy run 3 percent 0.45 percent^3 0.09112499275803584 sequence lVy full lVlyVlVylVylVyylVlVy run 3 percent 0.45 percent^3 0.09112499275803584 sequence 1Jc full 111cJ1J1Jc1Jc1Jc1J1J1J run 3 percent 0.4090909 percent^3 0.06846355987190754 sequence 1Yc full 11Y1cY11Yc1Yc1YcY1YY11 run 3 percent 0.4090909 percent^3 0.06846355987190754 sequence <4T full T<<<<4T<TT<4T<4T<4<TT< run 3 percent 0.4090909 percent^3 0.06846355987190754 sequence 4<d full d<d<<d<4d<<4<d4<d4<d<d run 3 percent 0.4090909 percent^3 0.06846355987190754 sequence BHZ full HBHBHZBHZBHZBHBHHBHZBH run 3 percent 0.4090909 percent^3 0.06846355987190754 sequence HcB full HBHBcHcBHcBHcBHBHHBHBH run 3 percent 0.4090909 percent^3 0.06846355987190754 sequence cHJ full HHcHJJJcHJcHJcHJHHHJJH run 3 percent 0.4090909 percent^3 0.06846355987190754 sequence RB5 full RBRBR55BRB5RB5RB5BR5B run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence VB5 full VBVB55VBVB5VB5VB5B5VB run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence lB5 full lBlB5l5BlB5lB5lB5B5lB run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence Bz5 full BBz5z5zBB5zB5Bz5Bz5Bz run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence 5Yz full YzY5Yz5zYY5Yz5Yz5Yz5z run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence VB: full VB:VBVB::VB:VB:VB:BVB run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence z:Y full Y:zYYzz:Y:Y:Yz:Yz:Yzz run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence >BR full R>>BR>BR>BRBR>BRBB>RB run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence Rl% full Rl%Rl%Rl%%R%lRlRlR%l% run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence ROV full RVOROVROVROVORVORVRVO run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence lOR full RlORlORlOROlORlORlRlO run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence VOl full lVOlOVlOVOlVOlVOlVlVO run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence pGT full pTGppTTTppGTpGTpGTpTpG run 3 percent 0.4090909 percent^3 0.06846355987190754 sequence TpS full pTpSpTSTTppSTpSTpSTpTp run 3 percent 0.4090909 percent^3 0.06846355987190754 sequence dYK full dYKdYKdYKdKYYdYYddYKKd run 3 percent 0.4090909 percent^3 0.06846355987190754 sequence Rd% full Rd%Rd%Rd%d%R%RdRddR%d% run 3 percent 0.4090909 percent^3 0.06846355987190754 sequence ROB full RBOROBROBROBOROBRBBRBO run 3 percent 0.4090909 percent^3 0.06846355987190754 sequence VBO full VBOOVBOVBOVBOVOBVBBVBO run 3 percent 0.4090909 percent^3 0.06846355987190754 sequence VOJ full VOOVJJJOVOJVOJVOJVJVJO run 3 percent 0.4090909 percent^3 0.06846355987190754 sequence lOJ full lOlOJJlJOOJlOJlOJlJlJO run 3 percent 0.4090909 percent^3 0.06846355987190754 sequence HNB full HNBHNBHNBHBHNBHBHHBHBNH run 3 percent 0.39130434 percent^3 0.059916164894724025 sequence 1:V full V111:V11V:1:V1:V1:V:1V1 run 3 percent 0.39130434 percent^3 0.059916164894724025 sequence :HO full HHOO:HO:HO:HO:OH:HH:HOH run 3 percent 0.39130434 percent^3 0.059916164894724025 sequence H:V full HVH:VHV:H:VH:VH:VHH:HVH run 3 percent 0.39130434 percent^3 0.059916164894724025 sequence >HR full HR>>HR>HR>HRHR>HRHH>HRH run 3 percent 0.39130434 percent^3 0.059916164894724025 sequence 5Bp full ppBBp55BppB5pB5Bp5Bp5Bp run 3 percent 0.39130434 percent^3 0.059916164894724025 sequence 5Yp full ppYYp5Y5YppY5Yp5Yp5Yp5p run 3 percent 0.39130434 percent^3 0.059916164894724025 sequence :Yp full ppY:YpY:Y:ppY:Yp:Yp:Ypp run 3 percent 0.39130434 percent^3 0.059916164894724025 sequence plV full plVplVplVlVpplVplVpplVp run 3 percent 0.39130434 percent^3 0.059916164894724025 sequence VB& full VBVB&VB&VB&&VB&VB&B&VB& run 3 percent 0.39130434 percent^3 0.059916164894724025 sequence &Bz full BBzz&zB&B&&zB&Bz&Bz&Bz& run 3 percent 0.39130434 percent^3 0.059916164894724025 sequence BJl full lBlBJJlJBJlBJlBJlBBJlBJ run 3 percent 0.39130434 percent^3 0.059916164894724025 sequence &:H full HH:H&:H&:H&&:H:&HH&:H&&H run 3 percent 0.375 percent^3 0.052734375 sequence J:1 full 111:J1J1J:1J:1J:1:J:1J1J run 3 percent 0.375 percent^3 0.052734375 sequence 1Y: full 11Y1:Y11Y:1Y:1Y:Y1:Y:Y11 run 3 percent 0.375 percent^3 0.052734375 sequence 5T< full T<<<5<5T<TT<5T<5T<5<T5T< run 3 percent 0.375 percent^3 0.052734375 sequence >BH full H>>BH>BH>BHBH>BHBHHB>HBH run 3 percent 0.375 percent^3 0.052734375 sequence H:B full HBH:BHB:H:BH:BH:BHH:BHBH run 3 percent 0.375 percent^3 0.052734375 sequence :HJ full HH:HJJJ:HJ:HJ:H:JHH:HJJH run 3 percent 0.375 percent^3 0.052734375 sequence RV1 full RV11R1VR11VR1V1RV1RV1RV1 run 3 percent 0.375 percent^3 0.052734375 sequence Rl1 full Rl11Rl1R11lR1l1Rl1Rl1Rl1 run 3 percent 0.375 percent^3 0.052734375 sequence ESR full EREREERSEESRESRESREESEREEE run 3 percent 0.34615386 percent^3 0.041477017406447214 sequence ESl full ElElEESlEESlESlESlEESEElEE run 3 percent 0.34615386 percent^3 0.041477017406447214 sequence Efl full ElElfEElEEflEflEflEEEElEEf run 3 percent 0.34615386 percent^3 0.041477017406447214 sequence ROH full HRHOROHROHROHOROHRHHHROH run 3 percent 0.375 percent^3 0.052734375 sequence VHO full HVHOOVHOVHOVHOVOHVHHHVOH run 3 percent 0.375 percent^3 0.052734375 sequence VPR full RVPRPVPRPPVPRVPPRVPRVPRVP run 3 percent 0.36 percent^3 0.046656005561828834 sequence RlP full RlPRlPPRPlPPRlPPRlPRlPRlP run 3 percent 0.36 percent^3 0.046656005561828834 sequence lVP full lVPlPVPPlPVPlVPPlVPlVPlVP run 3 percent 0.36 percent^3 0.046656005561828834 sequence VH& full HVHVH&VH&VH&&VH&VHH&H&V&H run 3 percent 0.36 percent^3 0.046656005561828834 sequence 1YV full V11Y1VY11YV1YV1YVY1YVY1V1 run 3 percent 0.36 percent^3 0.046656005561828834 sequence BHO full HBHOOBHOBHOBHOOBHBHHBHBOH run 3 percent 0.36 percent^3 0.046656005561828834 sequence HJl full HlHlHJJlJHJlHJlHJlHHHJlJH run 3 percent 0.36 percent^3 0.046656005561828834 sequence dHR full HRdHRdHRddHRHRdHRHdHdHRdH run 3 percent 0.36 percent^3 0.046656005561828834 sequence dzH full HdHdHzdzdzHHdzHHdzHdzHdzH run 3 percent 0.36 percent^3 0.046656005561828834 sequence Bp& full ppBBp&B&ppB&&pB&Bp&Bp&Bp& run 3 percent 0.36 percent^3 0.046656005561828834 sequence O:E full EEOO:EEOEE:O:EO:EO:EE:EEEOE run 3 percent 0.33333334 percent^3 0.03703704034840629 sequence POJ full POOPPJJPJOPPOJPOJPOJPPJPJO run 3 percent 0.34615386 percent^3 0.041477017406447214 sequence 1J& full 111J1J1J&1J&1J&&1J&&1J&1J& run 3 percent 0.34615386 percent^3 0.041477017406447214 sequence &BH full HBHBH&BH&BH&&BH&BHH&BH&B&H run 3 percent 0.34615386 percent^3 0.041477017406447214 sequence EOl full ElEOlOEElOEEOlEOlEOlEEEElEOE run 3 percent 0.32142857 percent^3 0.03320881792238261 sequence ERl full ERlERlEERlEERlERlERlEEERElEE run 3 percent 0.32142857 percent^3 0.03320881792238261 sequence JPB full PBPBPJJPJPBPJPBJPBJPBPBJPBJ run 3 percent 0.33333334 percent^3 0.03703704034840629 sequence P%< full P%<P<P%<P%<P%P%<P<P<P<P<%P<% run 3 percent 0.32142857 percent^3 0.03320881792238261 sequence <Pz full P<P<Pz<Pz<PzP<P<P<zP<Pz<zP<z run 3 percent 0.32142857 percent^3 0.03320881792238261 sequence EOJ full EEOOEEJJJOEEOJEOJEOJEEEEJEJOE run 3 percent 0.31034482 percent^3 0.029890520853517216 sequence EJl full ElElEEJJlJEEJlEJlEJlEEEEJlEJE run 3 percent 0.31034482 percent^3 0.029890520853517216 sequence BPp full pPpBPBPpPPBPpPpBPpBPBpPBpPBp run 3 percent 0.32142857 percent^3 0.03320881792238261 sequence TpP full pPTpPPpPPTPTTpPpPTpPTpPTpTPp run 3 percent 0.32142857 percent^3 0.03320881792238261 sequence <1J full 11<1<J<1J1J<1J<1J<<1J<<1J<1J run 3 percent 0.32142857 percent^3 0.03320881792238261 sequence 1:E full EE111:EE11EE:1:E1:E1:EE:E1EE1E run 3 percent 0.3 percent^3 0.027000003218650946 sequence P1J full P111PPJ1J1PJPP1JP1JP1JPP1JP1J run 3 percent 0.31034482 percent^3 0.029890520853517216 sequence BHP full HPBHPBPHPPBHPPBHPBHPBHPHBHPBH run 3 percent 0.31034482 percent^3 0.029890520853517216 sequence JPH full HPHPPHJJPJPHPJPHJPHJPHPHHJPJH run 3 percent 0.31034482 percent^3 0.029890520853517216 sequence 5TL full LTLLL5LL5LLLTLTT5TLLLL5TL5TL5TLLL run 3 percent 0.27272728 percent^3 0.020285501438007652 sequence L:Y full LLYL:YLYLLLLL:YL:YLLL:YL:YL:YLLLL run 3 percent 0.27272728 percent^3 0.020285501438007652 sequence YL5 full LLYLYL5YLL5LLLYLY5LLLYL5YL5YL5LLL run 3 percent 0.27272728 percent^3 0.020285501438007652 sequence 1lE full ElE11l1EE11lEE1lE1lE1lEEE1ElE1E run 3 percent 0.29032257 percent^3 0.02447047547320744 sequence REH full HEREHREHEREEHREHREHRHHEEHEREEHE run 3 percent 0.29032257 percent^3 0.02447047547320744 sequence lEH full HElEHlEHElEEHlEHlEHlHHEEHEElEHE run 3 percent 0.29032257 percent^3 0.02447047547320744 sequence pHP full HpPpHPPHpPPHPpPpHPpHPpHPHpHPpH run 3 percent 0.3 percent^3 0.027000003218650946 sequence pL5 full pLpLLLp5LL5LLLLpp5LLLpL5pL5pL5LpLL run 3 percent 0.2647059 percent^3 0.018547733458972003 sequence L:p full pLpLL:LpLLLLL:L:ppLLL:pL:pL:pLLpLL run 3 percent 0.2647059 percent^3 0.018547733458972003 sequence 1JE full EE111EEJ1J1JEE1JE1JE1JEEE1EJE1JE run 3 percent 0.28125 percent^3 0.022247314453125 sequence EHJ full HEEHEHEJJJEEHJEHJEHJHHEEHEEJEJHE run 3 percent 0.28125 percent^3 0.022247314453125 sequence &TL full LTLLLL&LLLLT<T&&TLLLL&TL&TL&TLL&L run 3 percent 0.25714287 percent^3 0.017002918323344624 sequence pL& full pLpLLLpL&LLLL&Lpp&&LLLpL&pL&pL&LpL&L run 3 percent 0.25 percent^3 0.015625 sequence pLT full pLTpLLLpLLLLLTLTTppTLLLpLTpLTpLTLpLL run 3 percent 0.25 percent^3 0.015625 sequence pLY full pLpLYLYLpYLLLLLYLppYLLLYpLYpLYpLLpLL run 3 percent 0.25 percent^3 0.015625 sequence PLp full pPLpLLPPLpPLLPLLLPLpPpPLLLpLPpLPpLPLpLL run 3 percent 0.23076923 percent^3 0.012289485845394335 run 3 val 42.11731083967616 add 84.23462167935232 exp 1 run 4 val 14.66892813749709 add 58.67571254998836 exp 2 run 5 val 2.6199195482271715 add 20.959356385817372 exp 3 run 6 val 4.658232198506762 add 74.5317151761082 exp 4 run 7 val 1.0 add 32.0 exp 5 270.40140579126626
Posted : January 21, 2017 2:29 pm
I went through your encyclopedia agaian and would like to have "Some measurements suggest the encoding of homophone cycles in the 340 might not necessarily start at the first position (see Jarlve’s post)" removed. The observation is way to loose and needs to be fleshed out. Thanks.
OK, it is removed.
Posted : January 21, 2017 2:40 pm
perfect cycle score (L=2):
z340: 247.85
j340_18%: 490.33perfect cycle score (L=3):
z340: 62.36
j340_18%: 270.40
doranchak,
Thanks for posting your numbers and editing the wiki entry. I remember you ran through one of smokie’s cipher which had similar cycle randomization and that it also showed higher L2 and L3 stats than the 340.
The way my encoding algorithm introduces this cycle randomization is by rolling a random number between 0 and 1. If it rolls above 0.18 then the cycle is followed normally. If it rolls under 0.18 then a random homophone is picked which could also be the homophone that follows the cycle. So that 18% is not an actual representation of some assumed randomness in the 340 but rather the randomness that my algorithm needs to match the m_2s_cycles score of the 340 on average.
I feel that cycle randomization as considered is not what is going on in the 340.
Posted : January 21, 2017 4:39 pm
doranchak,
I’ve tested my non-repeat window encoding hypothesis for a short while and it is incredibly effective at creating ciphers with highly repeating long unique sequences though cycle randomization also has to be mixed just right to get a m_2s_cycles score matching that of the 340. For the cipher below the non-repeat window was 15 and cycle randomization 25%. Row unigram repeats are very low and unique sequences peak at length 19 with a whopping 31 repeats.
Could you please link your L2 and L3 stats for this cipher.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 14 20 21 22 23 5 24 25 1 26 27 28 29 30 31 32 33 34 11 3 35 7 23 36 15 37 14 38 22 39 40 32 41 39 4 10 17 42 24 11 43 44 1 9 45 12 21 46 14 3 39 25 47 18 48 28 49 37 5 27 50 19 18 51 41 30 23 14 29 21 11 10 26 52 32 5 36 15 27 35 53 41 39 12 14 49 28 34 23 21 11 24 46 21 17 15 54 41 42 2 25 15 55 7 8 9 27 28 29 18 50 47 10 39 43 12 1 56 5 23 36 14 52 32 5 46 15 26 35 40 47 37 3 9 17 7 11 43 14 57 13 18 49 5 39 20 14 24 35 1 27 18 58 18 11 19 5 40 25 18 49 50 32 21 39 12 14 52 35 3 11 43 59 28 22 37 49 15 31 6 23 28 33 38 60 7 40 47 41 12 10 37 42 25 32 5 19 14 23 50 16 21 49 52 15 48 24 35 1 26 40 32 41 25 44 47 18 39 3 45 7 5 10 60 24 2 8 19 14 37 18 19 15 49 11 3 39 13 21 37 41 53 1 61 5 21 39 45 41 9 17 50 47 14 3 32 41 62 18 6 7 42 2 5 53 44 10 8 9 19 14 61 28 29 18 36 59 27 2 21 63 5 23 10 60 3 8 9 11 28 52 43 7 62 14 59 15 30 46 59 39 41 29 18 19 5 51 21 34 27 14 59 28 22 44 10 17 42 35 49 59
Posted : January 21, 2017 8:30 pm
doranchak,
I’ve tested my non-repeat window encoding hypothesis for a short while and it is incredibly effective at creating ciphers with highly repeating long unique sequences though cycle randomization also has to be mixed just right to get a m_2s_cycles score matching that of the 340. For the cipher below the non-repeat window was 15 and cycle randomization 25%. Row unigram repeats are very low and unique sequences peak at length 19 with a whopping 31 repeats.
Could you please link your L2 and L3 stats for this cipher.
OK – Here are the results:
multiplicity:
z340: 0.185
j340_25%_19_31: 0.185
ioc:
z340: 0.0193996182543814
j340_25%_19_31: 0.0193996182543814
jarlve nonrepeat score 1:
z340: 4462
j340_25%_19_31: 5259
jarlve nonrepeat score 2:
z340: 1599
j340_25%_19_31: 2035
perfect cycle score (L=2):
z340: 247.85
j340_25%_19_31: 847.60
perfect cycle score (L=3):
z340: 62.36
j340_25%_19_31: 104.71
jarlve m_2s_cycles:
z340: 2150.72
j340_25%_19_31: 2157.38
Symbolic form:
HER>pl^VPk|1LTG2d N+TB(#Op%DHWY.<*K f)y|R:^OcGMTU#Zzf JZ>kdS%|78HP31(_T RZD9Nt.jMpY5+NFJ* OT<(|kW&fpcGY:4JZ 1Tj.yO(|%_(dG/JSE DG-^VPY.<N59kZ71H CpOcT&fp_GW:z9MRP d^|7TqLNjpZBT%:HY N;N|+pzDNj5f(Z1T& :R|7X.#MjGKlO.)U@ ^z9J1kMSDfp+TO52( j&Gt%:HWzfJD89NZR 3^pk@%EV+TMN+Gj|R ZL(MJ4Hbp(Z3JPd59 TRfJANl^SEp48kVP+ Tb.<NcXYE(6pOk@RV P|.&7^ATXG*_XZJ<N +pF(yYTX.#8kdS:jX
L=2:
sequence pT full pTTpTTpTpTpTpTpTpTpTpTpTpTpTpT run 12 percent 0.8 percent^3 0.5120000228881839 sequence O. full O.O.O.O.O.O.O.O.. run 8 percent 0.9411765 percent^3 0.8337065022952102 sequence H^ full H^H^H^H^H^H^H^^ run 7 percent 0.93333334 percent^3 0.8130370474214907 sequence |Z full ||ZZ|Z|Z|Z|Z|Z|Z|ZZ|Z run 7 percent 0.6666667 percent^3 0.2962963227872503 sequence H% full H%H%H%H%H%H%H run 6 percent 0.9230769 percent^3 0.7865270941052375 sequence R% full R%R%R%R%R%R%RRR run 6 percent 0.8 percent^3 0.5120000228881839 sequence k% full k%k%k%k%k%k%kkk run 6 percent 0.8 percent^3 0.5120000228881839 sequence pN full pNpNpNpNppNpNNpNpNpNpNpNpNp run 7 percent 0.5185185 percent^3 0.13940963393600306 sequence HR full HRHRHRHRHRHRRHRR run 6 percent 0.75 percent^3 0.421875 sequence R^ full R^R^R^R^R^R^RR^R^ run 6 percent 0.7058824 percent^3 0.35171995293019254 sequence 5& full 5&5&5&5&5& run 5 percent 1.0 percent^3 1.0 sequence EV full EVEVEVEVEV run 5 percent 1.0 percent^3 1.0 sequence D& full DD&D&D&D&D& run 5 percent 0.90909094 percent^3 0.7513148680743575 sequence D5 full DD5D5D5D5D5 run 5 percent 0.90909094 percent^3 0.7513148680743575 sequence dS full ddSdSdSdSdS run 5 percent 0.90909094 percent^3 0.7513148680743575 sequence Mz full MzMzMzMzMzMM run 5 percent 0.8333333 percent^3 0.5787036623115902 sequence 19 full 119191919199 run 5 percent 0.8333333 percent^3 0.5787036623115902 sequence ^5 full ^^5^5^5^5^5^^ run 5 percent 0.7692308 percent^3 0.4551661600565231 sequence k5 full kk5k5k5k5k5kkk run 5 percent 0.71428573 percent^3 0.3644315129466383 sequence 1O full 1OO1O1O1O1O1OO run 5 percent 0.71428573 percent^3 0.3644315129466383 sequence kD full kDkDkDkDkDDkkkk run 5 percent 0.6666667 percent^3 0.2962963227872503 sequence :j full :j:j:j:j:jj:j:j run 5 percent 0.6666667 percent^3 0.2962963227872503 sequence OY full OYOYOYOYOYOOYOY run 5 percent 0.6666667 percent^3 0.2962963227872503 sequence G9 full GG9GGG9G9G9G9G9G run 5 percent 0.625 percent^3 0.244140625 sequence |: full ||:||:|:|:|:|:||: run 5 percent 0.5882353 percent^3 0.2035416497394177 sequence ^G full ^G^GGGG^G^G^G^G^^G run 5 percent 0.5555556 percent^3 0.17146778858901823 sequence Gf full GfGffGGGfGfGfGfGfG run 5 percent 0.5555556 percent^3 0.17146778858901823 sequence |O full |O|O|O|O|O|||OO|O| run 5 percent 0.5555556 percent^3 0.17146778858901823 sequence Zj full ZZZjZjZjZjZjjZjZZZj run 5 percent 0.5263158 percent^3 0.14579386314161896 sequence c_ full c_c_c_c_ run 4 percent 1.0 percent^3 1.0 sequence N+ full N+N+NNNNN+N+N+N+N+NN+ run 5 percent 0.47619048 percent^3 0.10797970078184826 sequence (J full (J(J(J((J(J(J(J(JJ(J( run 5 percent 0.47619048 percent^3 0.10797970078184826 sequence pO full pOpOpOpOpOpppOpOppppOp run 5 percent 0.45454547 percent^3 0.0939143585092947 sequence <_ full <_<_<_<_< run 4 percent 0.8888889 percent^3 0.7023319772895636 sequence <c full <c<c<c<c< run 4 percent 0.8888889 percent^3 0.7023319772895636 sequence WS full WSWSWSWSS run 4 percent 0.8888889 percent^3 0.7023319772895636 sequence T+ full T+TTT+TTTTT+T+T+T+T+TT+T run 5 percent 0.41666666 percent^3 0.07233795778894878 sequence Tj full TTTTjTTjTTjTjTjTjTjTTTTj run 5 percent 0.41666666 percent^3 0.07233795778894878 sequence dW full dWdWdWdWdd run 4 percent 0.8 percent^3 0.5120000228881839 sequence 7& full 7&7&7&7&&7 run 4 percent 0.8 percent^3 0.5120000228881839 sequence RT full RTTRTTRTTTRTTTRTRTRTRTRTT run 5 percent 0.4 percent^3 0.06400000286102299 sequence PW full PWPWPWPWPPP run 4 percent 0.72727275 percent^3 0.38467321245407105 sequence p( full p(p(p(p((pppp(p(p(p(p(pp( run 5 percent 0.4 percent^3 0.06400000286102299 sequence pZ full ppZZZppZZpppZpZpZpZpZppZp run 5 percent 0.4 percent^3 0.06400000286102299 sequence 9& full 9&9&9&9&99& run 4 percent 0.72727275 percent^3 0.38467321245407105 sequence 17 full 17117171717 run 4 percent 0.72727275 percent^3 0.38467321245407105 sequence H7 full HH7H7H7H7HH7 run 4 percent 0.6666667 percent^3 0.2962963227872503 sequence :z full :z::z:z:z:z: run 4 percent 0.6666667 percent^3 0.2962963227872503 sequence %D full %D%D%D%DD%D% run 4 percent 0.6666667 percent^3 0.2962963227872503 sequence 1D full 1D1D1D1D11DD run 4 percent 0.6666667 percent^3 0.2962963227872503 sequence dD full dDdDdDdDDDdd run 4 percent 0.6666667 percent^3 0.2962963227872503 sequence ^& full ^^&^&^&^&^^&^ run 4 percent 0.61538464 percent^3 0.23304508749224448 sequence +5 full +5+5+5+5++5++ run 4 percent 0.61538464 percent^3 0.23304508749224448 sequence f7 full ff7f7f7f7fff7 run 4 percent 0.61538464 percent^3 0.23304508749224448 sequence ^z full ^^z^z^z^zz^^^ run 4 percent 0.61538464 percent^3 0.23304508749224448 sequence %: full %:%:%:%::%:%: run 4 percent 0.61538464 percent^3 0.23304508749224448 sequence %M full %M%M%M%MM%%MM run 4 percent 0.61538464 percent^3 0.23304508749224448 sequence H9 full HHH99H9H9H9H9 run 4 percent 0.61538464 percent^3 0.23304508749224448 sequence d: full d:d:d:d:::dd: run 4 percent 0.61538464 percent^3 0.23304508749224448 sequence DM full DMDMDMDMMDDMM run 4 percent 0.61538464 percent^3 0.23304508749224448 sequence Hd full HdHdHdHdHHHdd run 4 percent 0.61538464 percent^3 0.23304508749224448 sequence dM full dMdMdMdMMMMdd run 4 percent 0.61538464 percent^3 0.23304508749224448 sequence TN full TNTTTNNTTNTTNTNNNTTNTNTNTNTNT run 5 percent 0.3448276 percent^3 0.041002093306170044 sequence R7 full RR7R7R7R7RRRR7 run 4 percent 0.5714286 percent^3 0.18658894630632428 sequence Rz full RRzRzRzRzzRRRR run 4 percent 0.5714286 percent^3 0.18658894630632428 sequence ^1 full ^1^11^1^1^1^^^ run 4 percent 0.5714286 percent^3 0.18658894630632428 sequence O9 full OO9OO9O9O9O99O run 4 percent 0.5714286 percent^3 0.18658894630632428 sequence f9 full ff9f9f9f9ff99f run 4 percent 0.5714286 percent^3 0.18658894630632428 sequence OD full ODODOODODODODO run 4 percent 0.5714286 percent^3 0.18658894630632428 sequence Df full DffDfDfDfDffDf run 4 percent 0.5714286 percent^3 0.18658894630632428 sequence P: full P:P:P:P:::PPP: run 4 percent 0.5714286 percent^3 0.18658894630632428 sequence HM full HHMHMHMHMMHMMH run 4 percent 0.5714286 percent^3 0.18658894630632428 sequence PM full PMPMPMPMMMMPPP run 4 percent 0.5714286 percent^3 0.18658894630632428 sequence k1 full k1k1k1k111kkkkk run 4 percent 0.53333336 percent^3 0.15170372743959903 sequence Rd full RdRdRdRdRRRdRRd run 4 percent 0.53333336 percent^3 0.15170372743959903 sequence kd full kdkdkdkdkkdkkkd run 4 percent 0.53333336 percent^3 0.15170372743959903 sequence ^: full ^:^:^:^::^:^^^: run 4 percent 0.53333336 percent^3 0.15170372743959903 sequence ^M full ^^MM^M^M^M^MM^^ run 4 percent 0.53333336 percent^3 0.15170372743959903 sequence Mj full MjMjMjjMjMjMjMj run 4 percent 0.53333336 percent^3 0.15170372743959903 sequence %J full %J%JJ%J%J%J%JJJJ run 4 percent 0.5 percent^3 0.125 sequence RP full RPRPRPRPRRRPRPRP run 4 percent 0.5 percent^3 0.125 sequence ^O full ^O^OOO^O^O^O^^O^ run 4 percent 0.5 percent^3 0.125 sequence fj full 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(f full (ff((f((ff(f(f((f(( run 3 percent 0.31578946 percent^3 0.03149146730584553 sequence +Z full +ZZZ+ZZZ+Z+Z++ZZ+Z+ run 3 percent 0.31578946 percent^3 0.03149146730584553 sequence OZ full OOZZZOZOZOZZOOZZZOZ run 3 percent 0.31578946 percent^3 0.03149146730584553 sequence fZ full fZfZZfZZfZfZffZZZfZ run 3 percent 0.31578946 percent^3 0.03149146730584553 sequence G. full G.G.G.GG.G.G.GG..G. run 3 percent 0.31578946 percent^3 0.03149146730584553 sequence |. full |.||.|.|.|||..|.|.. run 3 percent 0.31578946 percent^3 0.03149146730584553 sequence RG full RGRGRGGGGRRGGRGRRRG run 3 percent 0.31578946 percent^3 0.03149146730584553 sequence kG full kGGkkGGGkGGkGkGkkGk run 3 percent 0.31578946 percent^3 0.03149146730584553 sequence kJ full kJkJkJJkJkJkJJJkkJk run 3 percent 0.31578946 percent^3 0.03149146730584553 sequence R| full R||R|R||R||R|R|RRR| run 3 percent 0.31578946 percent^3 0.03149146730584553 sequence N: full N:NN:N:N:NNN::NNNNN: run 3 percent 0.3 percent^3 0.027000003218650946 sequence NM full NMNMNNMNNNNMMNMNMNNN run 3 percent 0.3 percent^3 0.027000003218650946 sequence PN full PNPNNPNPNNNNNNPNPNPN run 3 percent 0.3 percent^3 0.027000003218650946 sequence NY full NYNYNYYNNYNNNNNNNYNY run 3 percent 0.3 percent^3 0.027000003218650946 sequence T9 full TTTT9TT9T9TTT9T9T9TTTT run 3 percent 0.27272728 percent^3 0.020285501438007652 sequence TD full TTDTTDTTDTTTDTDTDTTTTT run 3 percent 0.27272728 percent^3 0.020285501438007652 sequence pP full pPpPppPppPpppppPpPpPp run 3 percent 0.2857143 percent^3 0.023323618288290535 sequence pY full ppYpYpYYpppYpppppYppY run 3 percent 0.2857143 percent^3 0.023323618288290535 sequence (. full (.(.(.((.(..(((.(.(. run 3 percent 0.3 percent^3 0.027000003218650946 sequence R( full R(R(R(((R(R(RR((R(R( run 3 percent 0.3 percent^3 0.027000003218650946 sequence k( full k(k((k((k(k(k((k(k(k run 3 percent 0.3 percent^3 0.027000003218650946 sequence kZ full kZZkZkZkZZZkZkZZkkZk run 3 percent 0.3 percent^3 0.027000003218650946 sequence GJ full GGJJGJGJGGGJGJGJJJGJ run 3 percent 0.3 percent^3 0.027000003218650946 sequence |( full |(||((|(|(||(|(|(((|( run 3 percent 0.2857143 percent^3 0.023323618288290535 sequence T: full TT:TTT:TT:TT:T:T:TTTTT: run 3 percent 0.26086956 percent^3 0.017752937746584894 sequence PT full PTTTPTTTPTPTTTTTPTPTPTT run 3 percent 0.26086956 percent^3 0.017752937746584894 sequence TY full TTYTTYTYTYTTTYTTTTTYTYT run 3 percent 0.26086956 percent^3 0.017752937746584894 sequence pj full ppjppjppjppjjpjpjppppj run 3 percent 0.27272728 percent^3 0.020285501438007652 sequence N. full N.N.N..NNNNN..NNN.N.N. run 3 percent 0.27272728 percent^3 0.020285501438007652 sequence RN full RNRRNNNRNNNNRNRNRRNNRN run 3 percent 0.27272728 percent^3 0.020285501438007652 sequence kN full kNkNNkNkNNNNkNkNNkNkNk run 3 percent 0.27272728 percent^3 0.020285501438007652 sequence (Z full (ZZ(Z(Z((ZZ(Z(ZZ((Z(Z( run 3 percent 0.27272728 percent^3 0.020285501438007652 sequence p. full pp..pp..pppp..pppp.p.p. run 3 percent 0.26086956 percent^3 0.017752937746584894 sequence Tf full TTfTfTTfTTfTTfTfTfTTfTTT run 3 percent 0.25 percent^3 0.015625 sequence pG full pGpGppGGGppGppGpGpGpppGp run 3 percent 0.25 percent^3 0.015625 sequence p| full p|p||p|p|pp|p|p|pp|ppp|p run 3 percent 0.25 percent^3 0.015625 sequence NZ full NZZZNNZNZNZNNNZNZNZZNNZN run 3 percent 0.25 percent^3 0.015625 sequence TG full TGTGTTTGTGGTGTTTGTGTGTTTGT run 3 percent 0.23076923 percent^3 0.012289485845394335 sequence |T full |TT|T|TT|T|T|TT|T|TT|TT|TT run 3 percent 0.23076923 percent^3 0.012289485845394335 run 3 val 30.77701261343297 add 61.55402522686594 exp 1 run 4 val 13.21437262387045 add 52.8574904954818 exp 2 run 5 val 9.279701364346028 add 74.23761091476823 exp 3 run 6 val 2.584122092811798 add 41.34595348498877 exp 4 run 7 val 1.2487430041447443 add 39.959776132631816 exp 5 run 8 val 0.8337065022952102 add 53.35721614689345 exp 6 run 12 val 0.5120000228881839 add 524.2880234375003 exp 10 847.6000958391303
Posted : January 21, 2017 9:32 pm
L=3:
sequence HR% full HR%HR%HR%HR%HR%HR%RHRR run 6 percent 0.8181818 percent^3 0.5477084789752603 sequence HR^ full HR^HR^HR^HR^HR^HR^RHR^R^ run 6 percent 0.75 percent^3 0.421875 sequence D5& full DD5&D5&D5&D5&D5& run 5 percent 0.9375 percent^3 0.823974609375 sequence <c_ full <c_<c_<c_<c_< run 4 percent 0.9230769 percent^3 0.7865270941052375 sequence WdS full dWdSWdSWdSWdSdS run 4 percent 0.8 percent^3 0.5120000228881839 sequence ^5& full ^^5&^5&^5&^5&^5^&^ run 4 percent 0.6666667 percent^3 0.2962963227872503 sequence %DM full %DM%DM%DM%DMMD%D%MM run 4 percent 0.6315789 percent^3 0.25193173844676425 sequence dDM full dDMdDMdDMdDMMDDMMdd run 4 percent 0.6315789 percent^3 0.25193173844676425 sequence kD5 full kDkD5kD5kD5kD5Dk5kkk run 4 percent 0.6 percent^3 0.21600002574920757 sequence pTN full pTNTpTTNpNTpTNpTpTNpTNNpNTpTNpTNpTNpTNpTNpT run 5 percent 0.3488372 percent^3 0.04244908797843958 sequence 1O9 full 1OO19O1O91O91O91O99O run 4 percent 0.6 percent^3 0.21600002574920757 sequence %HM full H%HM%HM%HM%HMM%H%MMH run 4 percent 0.6 percent^3 0.21600002574920757 sequence dHM full HdHMdHMdHMdHMMHMMHdd run 4 percent 0.6 percent^3 0.21600002574920757 sequence HR7 full HRHR7HR7HR7HR7HRRHRR7 run 4 percent 0.5714286 percent^3 0.18658894630632428 sequence %Dk full k%Dk%Dk%Dk%DkD%Dk%kkk run 4 percent 0.5714286 percent^3 0.18658894630632428 sequence k1D full k1Dk1Dk1Dk1D11kDDkkkk run 4 percent 0.5714286 percent^3 0.18658894630632428 sequence kdD full kdDkdDkdDkdDkDDkdkkkd run 4 percent 0.5714286 percent^3 0.18658894630632428 sequence R^z full R^R^zR^zR^zR^zzR^RR^R^ run 4 percent 0.54545456 percent^3 0.16228401150406122 sequence HRd full HRdHRdHRdHRdHRHRRHdRRd run 4 percent 0.54545456 percent^3 0.16228401150406122 sequence 1O^ full ^1O^O1O1O^1O^1O^1O^^O^ run 4 percent 0.54545456 percent^3 0.16228401150406122 sequence O|Y full |OY|O|YO|YO|YO|Y||OO|YO|Y run 4 percent 0.48 percent^3 0.11059199258422868 sequence #*y full #*y#*y#*y# run 3 percent 0.9 percent^3 0.7289999420642868 sequence EL3 full EL3EL3EL3EE run 3 percent 0.8181818 percent^3 0.5477084789752603 sequence VL3 full VL3VL3VL3VV run 3 percent 0.8181818 percent^3 0.5477084789752603 sequence Jp( full p(pJ(pJ(pJ((Jpppp(Jp(Jp(Jp(JJp(pJp( run 4 percent 0.34285715 percent^3 0.04030321030018985 sequence TN+ full TN+TTTN+NTTNTTNTNN+NT+TN+TN+TN+TNTN+T run 4 percent 0.3243243 percent^3 0.03411446051087105 sequence VL8 full VL8VL8VL8VV8 run 3 percent 0.75 percent^3 0.421875 sequence RpT full RpTTpRTTRpTpTpTpRTpTpTRpTRpTRpTRpTpRTpT run 4 percent 0.30769232 percent^3 0.02913063593653056 sequence EV3 full EV3EV3EV3EVEV run 3 percent 0.6923077 percent^3 0.3318161392515777 sequence EVL full EVLEVLEVLEVEV run 3 percent 0.6923077 percent^3 0.3318161392515777 sequence c_5 full c_5c_5c_555c_ run 3 percent 0.6923077 percent^3 0.3318161392515777 sequence Dc_ full Dc_Dc_Dc_DDDc_ run 3 percent 0.64285713 percent^3 0.2656705433790609 sequence c_9 full c_9c_9c_9999c_ run 3 percent 0.64285713 percent^3 0.2656705433790609 sequence _5& full _5&_5&_5&5&5&_ run 3 percent 0.64285713 percent^3 0.2656705433790609 sequence <cS full <cS<cS<cSS<c<S run 3 percent 0.64285713 percent^3 0.2656705433790609 sequence W%5 full %W%5W%5W%55%W%5 run 3 percent 0.6 percent^3 0.21600002574920757 sequence c%5 full %c%5c%5c%55%%5c run 3 percent 0.6 percent^3 0.21600002574920757 sequence _9& full _9&_9&_9&9&99&_ run 3 percent 0.6 percent^3 0.21600002574920757 sequence _D& full D_D&_D&_D&D&D&_ run 3 percent 0.6 percent^3 0.21600002574920757 sequence 1_5 full 11_51_51_51155_ run 3 percent 0.6 percent^3 0.21600002574920757 sequence WD5 full DWD5WD5WD5D5WD5 run 3 percent 0.6 percent^3 0.21600002574920757 sequence _D5 full D_D5_D5_D5D5D5_ run 3 percent 0.6 percent^3 0.21600002574920757 sequence cD5 full DcD5cD5cD5D5D5c run 3 percent 0.6 percent^3 0.21600002574920757 sequence Wd5 full dWd5Wd5Wd55Wd5d run 3 percent 0.6 percent^3 0.21600002574920757 sequence cd5 full dcd5cd5cd55d5cd run 3 percent 0.6 percent^3 0.21600002574920757 sequence Wd7 full dWd7Wd7Wd77Wd7d run 3 percent 0.6 percent^3 0.21600002574920757 sequence cd7 full dcd7cd7cd77dc7d run 3 percent 0.6 percent^3 0.21600002574920757 sequence O@S full OOSOOSOO@SO@SO@S run 3 percent 0.5625 percent^3 0.177978515625 sequence cdS full dcdScdScdSdScdS run 3 percent 0.6 percent^3 0.21600002574920757 sequence %<c full %<c%<c%<c%%%<c< run 3 percent 0.6 percent^3 0.21600002574920757 sequence <1_ full 1<1_<1_<1_11<_< run 3 percent 0.6 percent^3 0.21600002574920757 sequence @G8 full GG8GGGGG@G8@G8@G8 run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence D<_ full D<_D<_D<_DDD<_< run 3 percent 0.6 percent^3 0.21600002574920757 sequence D<c full D<cD<cD<cDDD<c< run 3 percent 0.6 percent^3 0.21600002574920757 sequence d<c full d<cd<cd<cdd<c<d run 3 percent 0.6 percent^3 0.21600002574920757 sequence z5& full z5&5&zz5&z5&z5& run 3 percent 0.6 percent^3 0.21600002574920757 sequence EVS full EVSSEVSEVSEVEVS run 3 percent 0.6 percent^3 0.21600002574920757 sequence %H@ full H%H%H%H%H@%H@%H@ run 3 percent 0.5625 percent^3 0.177978515625 sequence P<c full P<cP<cP<cPPP<cP< run 3 percent 0.5625 percent^3 0.177978515625 sequence WP5 full PWP5WP5WP55WP5PP run 3 percent 0.5625 percent^3 0.177978515625 sequence cP5 full PcP5cP5cP55P5PcP run 3 percent 0.5625 percent^3 0.177978515625 sequence W:7 full W:7W:7W:7::7:W7: run 3 percent 0.5625 percent^3 0.177978515625 sequence HW7 full HHW7HW7HW7H7HWH7 run 3 percent 0.5625 percent^3 0.177978515625 sequence Hc7 full HHc7Hc7Hc7H7HHc7 run 3 percent 0.5625 percent^3 0.177978515625 sequence 1_9 full 11_91_91_919199_ run 3 percent 0.5625 percent^3 0.177978515625 sequence %DW full %DW%DW%DW%DD%WD% run 3 percent 0.5625 percent^3 0.177978515625 sequence %Dc full %Dc%Dc%Dc%DD%D%c run 3 percent 0.5625 percent^3 0.177978515625 sequence D1_ full 1D1_D1_D1_D11DD_ run 3 percent 0.5625 percent^3 0.177978515625 sequence dDW full dDWdDWdDWdDDWDdd run 3 percent 0.5625 percent^3 0.177978515625 sequence dDc full dDcdDcdDcdDDDdcd run 3 percent 0.5625 percent^3 0.177978515625 sequence %5& full %%5&%5&%5&5&%%5& run 3 percent 0.5625 percent^3 0.177978515625 sequence 71& full 171&171&71&71&&7 run 3 percent 0.5625 percent^3 0.177978515625 sequence 95& full 95&59&95&95&959& run 3 percent 0.5625 percent^3 0.177978515625 sequence d5& full dd5&d5&d5&5&d5&d run 3 percent 0.5625 percent^3 0.177978515625 sequence d7& full dd7&d7&d7&7&d&7d run 3 percent 0.5625 percent^3 0.177978515625 sequence zD& full DzD&D&zzD&zD&zD& run 3 percent 0.5625 percent^3 0.177978515625 sequence zD5 full DzD5D5zzD5zD5zD5 run 3 percent 0.5625 percent^3 0.177978515625 sequence <dS full d<dS<dS<dSdS<<dS run 3 percent 0.5625 percent^3 0.177978515625 sequence dSE full EddSdSEdSEdSEEdS run 3 percent 0.5625 percent^3 0.177978515625 sequence EVd full EVdddEVdEVdEVEVd run 3 percent 0.5625 percent^3 0.177978515625 sequence dSV full VddSdSVdSVdSVVdS run 3 percent 0.5625 percent^3 0.177978515625 sequence W^5 full ^W^5W^5W^5^5W^5^^ run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence f_5 full ff_5f_5f_5ff5f5f_ run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence W^7 full ^W^7W^7W^77^W^^7^ run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence <cj full <cj<cj<cjjjjj<c<j run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence %W: full %W:%W:%W:%::%:W%: run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence %HW full H%HW%HW%HW%H%HW%H run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence %Hc full H%Hc%Hc%Hc%H%H%Hc run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence W:9 full W:9W:9W:9::9:W99: run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence DW: full DW:DW:DW::D:D:WD: run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence dW: full dW:dW:dW:d:::Wdd: run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence dHW full HdHWdHWdHWdHHWHdd run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence dHc full HdHcdHcdHcdHHHdcd run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence :5& full :5&:5&::5&:5&:5&: run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence P5& full PP5&P5&P5&5&P5PP& run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence H&7 full HH7H&7H&7H&7&HH&7 run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence :z& full :z&:&:z:z&:z&:z&: run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence :z5 full :z5:5:z:z5:z5:z5: run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence EVP full EVPPEVPPEVPEVPEVP run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence k_5 full kk_5k_5k_5k5k5kk_k run 3 percent 0.5 percent^3 0.125 sequence <k_ full k<k_<k_<k_kkk<k_<k run 3 percent 0.5 percent^3 0.125 sequence %D& full %D%D&%D&%D&D&%D%& run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence %D5 full %D%D5%D5%D5D5%D%5 run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence %D< full %D<%D<%D<%DD%D%<< run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence 91& full 119&191&91&91&99& run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence dD& full dDdD&dD&dD&D&Dd&d run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence 1D5 full 1D1D51D51D511D5D5 run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence 1D< full 1D<1D<1D<1D11DD<< run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence dD5 full dDdD5dD5dD5D5Dd5d run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence dD< full dD<dD<dD<dDDDd<<d run 3 percent 0.5294118 percent^3 0.14838186767177602 sequence f_9 full ff_9f_9f_9f9ff99f_ run 3 percent 0.5 percent^3 0.125 sequence f_D full Dff_Df_Df_DfDffDf_ run 3 percent 0.5 percent^3 0.125 sequence HW: full HHW:HW:HW::H::HWH: run 3 percent 0.5 percent^3 0.125 sequence PW: full PW:PW:PW:P:::WPPP: run 3 percent 0.5 percent^3 0.125 sequence ^7& full ^^7&^7&^7&7^&^^&7^ run 3 percent 0.5 percent^3 0.125 sequence 5&+ full +5+&5&+5&+5&++5+&+ run 3 percent 0.5 percent^3 0.125 sequence %H& full H%H%H&%H&%H&&%H%H& run 3 percent 0.5 percent^3 0.125 sequence :D& full D:D&:D&::D&:D&:D&: run 3 percent 0.5 percent^3 0.125 sequence dH& full HdHdH&dH&dH&&HHd&d run 3 percent 0.5 percent^3 0.125 sequence :D5 full D:D5:D5::D5:D5:D5: run 3 percent 0.5 percent^3 0.125 sequence :d7 full d:d7:d7:d7::7:d7d: run 3 percent 0.5 percent^3 0.125 sequence Hd7 full HdHd7Hd7Hd7H7HHd7d run 3 percent 0.5 percent^3 0.125 sequence Md7 full dMd7Md7Md77MMMMd7d run 3 percent 0.5 percent^3 0.125 sequence D:z full D:zD:D:z:zD:zD:zD: run 3 percent 0.5 percent^3 0.125 sequence %<: full %<:%<:%<:%::%:%<<: run 3 percent 0.5 percent^3 0.125 sequence D<: full D<:D<:D<::D:D:D<<: run 3 percent 0.5 percent^3 0.125 sequence d<: full d<:d<:d<:d:::d<<d: run 3 percent 0.5 percent^3 0.125 sequence k1_ full k1k1_k1_k1_11kkkk_k run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence k_9 full kk_9k_9k_99k9k9kk_k run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence Dk_ full kDk_Dk_Dk_DkDDkkk_k run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence dkW full kdWkdkWdkWdkWkdkkkd run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence W:j full W:jW:jW:j:j:jj:Wj:j run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence ^HW full H^HW^HW^HW^H^HW^H^^ run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence ^PW full ^PW^PW^PWP^^W^P^PP^ run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence ^W: full ^W:^W:^W:^::^:W^^^: run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence R5& full RRR5&5&R5&R5&RR5RR& run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence 7&R full RR7R&7&R7&R7&RRRR&7 run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence R7z full RRz7R7zR7zR7zzRRRR7 run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence f%5 full %ff%5f%5f%5ff5%f%5f run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence 9+& full +9+&9&9+&9+&9++9+&+ run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence ^1& full ^1^1&1^1&^1&^1&^^&^ run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence 5fD full DffD5fD5fD5fDf5fD5f run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence fd5 full dffd5fd5fd5ff5fd5fd run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence fd7 full dffd7fd7fd7f7ffdf7d run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence DOz full ODOzDOODOzzDOzDOzDO run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence 51^ full ^1^151^51^51^15^5^^ run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence <1j full 1<1j<1j<1jj1j1jj<<j run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence H:7 full HH:7H:7H:7:H:7:HH7: run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence HM7 full HHM7HM7HM7H7MMHMMH7 run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence P<: full P<:P<:P<:P:::PP<P<: run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence G5& full GG5&GGG5&G5&G5&GG5&G run 3 percent 0.45 percent^3 0.09112499275803584 sequence PkW full PkWkPkWPkWPkWkPkPkPk run 3 percent 0.45 percent^3 0.09112499275803584 sequence H9% full H%H%H9%9H9%H9%H9%H9 run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence %D: full %D:%D:%D:%:D:D%:D%: run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence dD: full dD:dD:dD:d:D:D:Ddd: run 3 percent 0.47368422 percent^3 0.10628372221807138 sequence k%5 full k%k%5k%5k%5k5%k%5kkk run 3 percent 0.45 percent^3 0.09112499275803584 sequence k%< full k%<k%<k%<k%k%k%k<k<k run 3 percent 0.45 percent^3 0.09112499275803584 sequence 1&R full R1R1R&11&R1&R1&RRRR& run 3 percent 0.45 percent^3 0.09112499275803584 sequence k15 full k1k15k15k1511k5k5kkk run 3 percent 0.45 percent^3 0.09112499275803584 sequence 71R full R1R71R171R71R71RRRR7 run 3 percent 0.45 percent^3 0.09112499275803584 sequence k1< full k1<k1<k1<k111kkk<k<k run 3 percent 0.45 percent^3 0.09112499275803584 sequence 59k full kk95k59k959k59k59kkk run 3 percent 0.45 percent^3 0.09112499275803584 sequence kd5 full kdkd5kd5kd5k5kd5kkkd run 3 percent 0.45 percent^3 0.09112499275803584 sequence Rd7 full RdRd7Rd7Rd7R7RRdRR7d run 3 percent 0.45 percent^3 0.09112499275803584 sequence kD< full kD<kD<kD<kDkDDkk<k<k run 3 percent 0.45 percent^3 0.09112499275803584 sequence <kd full kd<kd<kd<kdkkdk<k<kd run 3 percent 0.45 percent^3 0.09112499275803584 sequence ^<: full ^<:^<:^<:^::^:^^<^<: run 3 percent 0.45 percent^3 0.09112499275803584 sequence <:j full <:j<:j<:j:j:jj:j<<:j run 3 percent 0.45 percent^3 0.09112499275803584 sequence zM^ full ^^MzM^zM^zM^zMz^MM^^ run 3 percent 0.45 percent^3 0.09112499275803584 sequence ^H& full H^H^H&^H&^H&^&H^H^&^ run 3 percent 0.45 percent^3 0.09112499275803584 sequence fP5 full PffP5fP5fP5ff5fP5fPP run 3 percent 0.45 percent^3 0.09112499275803584 sequence :^7 full ^:^7:^7:^7::7^:^^7^: run 3 percent 0.45 percent^3 0.09112499275803584 sequence H^7 full H^H^7H^7H^7H7^H^H^7^ run 3 percent 0.45 percent^3 0.09112499275803584 sequence Hf7 full HHff7Hf7Hf7Hf7fHfHf7 run 3 percent 0.45 percent^3 0.09112499275803584 sequence f:z full f:zff:f:z:zf:zf:zff: run 3 percent 0.45 percent^3 0.09112499275803584 sequence ^P< full ^P<^P<^P<P^^^P^P<P^< run 3 percent 0.45 percent^3 0.09112499275803584 sequence %Df full %Dff%Df%Df%DfDf%fD%f run 3 percent 0.45 percent^3 0.09112499275803584 sequence dDf full dDffdDfdDfdDfDffDdfd run 3 percent 0.45 percent^3 0.09112499275803584 sequence H:% full H%H:%H:%H:%:H:%:H%H: run 3 percent 0.45 percent^3 0.09112499275803584 sequence dH: full HdH:dH:dH:d:H::HHdd: run 3 percent 0.45 percent^3 0.09112499275803584 sequence G1& full 1GG1&G1GG1&G1&G1&GG&G run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence G9& full GG9&GGG9&G9&G9&G9G9&G run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence GD& full GDGD&GGDG&GD&GD&GDG&G run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence GD5 full GDGD5GGDG5GD5GD5GDG5G run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence zDG full GDGzDGGDGGzzDGzDGzDGG run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence kP5 full PkkP5kP5kP5k5kP5kPkPk run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence <kP full Pk<kP<kP<kPkkPkP<kP<k run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence VPk full VPkkPkVPkPkkVPkVPkVPk run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence ^+& full ^+^+&^&^+&^+&^++^+&^+ run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence 5^+ full ^+^5+^5^+5^+5^++5^+^+ run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence 5f^ full ^f^f5f^5f^5f^f5f^5f^^ run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence %9k full k%k%9k%9k9%9k%9k%9kkk run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence k19 full k1k19k19k19191k9k9kkk run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence 9(& full ((9(&((9&9(&9(&9((9(&( run 3 percent 0.4090909 percent^3 0.06846355987190754 sequence D(& full (D(D(&((D&D(&D(&D(((&( run 3 percent 0.4090909 percent^3 0.06846355987190754 sequence zD( full (Dz(D(((DzzD(zD(zD(((( run 3 percent 0.4090909 percent^3 0.06846355987190754 sequence H^% full H^%H^%H%^H^%H^%H^%H^^ run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence %Hf full H%Hff%Hf%Hf%Hff%Hf%Hf run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence ^1M full ^1^M1M1^1M^1M^1M^MM^^ run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence 1OY full 1OYO1YOY1OY1OY1O1OYOY run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence Y1^ full ^1Y^1YY1^Y1^Y1^1^^Y^Y run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence dHf full HdHffdHfdHfdHffHfHdfd run 3 percent 0.42857143 percent^3 0.07871720351213618 sequence :|5 full ||:|5|:|5:|:|5:|5:|5|: run 3 percent 0.4090909 percent^3 0.06846355987190754 sequence zMG full GGMzMGGGGzMzMGzMGzMGMG run 3 percent 0.4090909 percent^3 0.06846355987190754 sequence ^&R full R^R^R&^&R^&R^&R^RR^R&^ run 3 percent 0.4090909 percent^3 0.06846355987190754 sequence R+& full R+RR+&&R+&R+&R++RR+R&+ run 3 percent 0.4090909 percent^3 0.06846355987190754 sequence 5R+ full R+RR5+5R+5R+5R++R5R+R+ run 3 percent 0.4090909 percent^3 0.06846355987190754 sequence 5k+ full k+k5+k5k+5k+5k++5k+k+k run 3 percent 0.4090909 percent^3 0.06846355987190754 sequence 5R^ full R^R^R5^5R^5R^5R^R5R^R^ run 3 percent 0.4090909 percent^3 0.06846355987190754 sequence ^k5 full ^k^k5k^5k^5^k5^k5^kk^k run 3 percent 0.4090909 percent^3 0.06846355987190754 sequence R^7 full R^R^7R^7R^7R7^R^RR^R7^ run 3 percent 0.4090909 percent^3 0.06846355987190754 sequence <kj full k<kj<kj<kjjjkjkjk<k<kj run 3 percent 0.4090909 percent^3 0.06846355987190754 sequence G91 full 1GG19G1GG91G91G91G9G9G run 3 percent 0.4090909 percent^3 0.06846355987190754 sequence Hk% full Hk%Hk%Hk%kH%Hk%Hk%Hkkk run 3 percent 0.4090909 percent^3 0.06846355987190754 sequence kH9 full HkHkH9k9kH9H9kH9kH9kkk run 3 percent 0.4090909 percent^3 0.06846355987190754 sequence Hkd full HkdHkdHkdkHdHkHkHdkkkd run 3 percent 0.4090909 percent^3 0.06846355987190754 sequence O9+ full +OO9+OO9O9+O9+O9++9+O+ run 3 percent 0.4090909 percent^3 0.06846355987190754 sequence (:z full (:z((:((:z:z(:z(:z((((: run 3 percent 0.39130434 percent^3 0.059916164894724025 sequence Z:z full :ZzZZ:ZZ:zZ:zZ:z:zZZZZ: run 3 percent 0.39130434 percent^3 0.059916164894724025 sequence H:^ full H^H:^H:^H:^:H:^:H^H^^: run 3 percent 0.4090909 percent^3 0.06846355987190754 sequence ^P: full ^P:^P:^P:P^::^:^P^PP^: run 3 percent 0.4090909 percent^3 0.06846355987190754 sequence HM^ full H^H^MHM^HM^HM^MH^MMH^^ run 3 percent 0.4090909 percent^3 0.06846355987190754 sequence G+& full G+G+&GGG&G+&G+&G++G+&G+ run 3 percent 0.39130434 percent^3 0.059916164894724025 sequence G^& full ^G^G&GGG^&G^&G^&G^G^&^G run 3 percent 0.39130434 percent^3 0.059916164894724025 sequence G^5 full ^G^G5GGG^5G^5G^5G^G5^^G run 3 percent 0.39130434 percent^3 0.059916164894724025 sequence fGz full GfGzffGGGfGzzfGzfGzfGfG run 3 percent 0.39130434 percent^3 0.059916164894724025 sequence 5G+ full G+G5+GGG5G+5G+5G++G5+G+ run 3 percent 0.39130434 percent^3 0.059916164894724025 sequence HG% full HG%HG%HG%GGHG%HGG%H%GHG run 3 percent 0.39130434 percent^3 0.059916164894724025 sequence HGd full HGdHGdHGdGGHGdHGGHGHdGd run 3 percent 0.39130434 percent^3 0.059916164894724025 sequence %^k full ^k%^k%k%^k^%^k%^k%^kk^k run 3 percent 0.39130434 percent^3 0.059916164894724025 sequence ^1R full R^1R^1R1^1R^1R^1R^RR^R^ run 3 percent 0.39130434 percent^3 0.059916164894724025 sequence j9k full kk9jkj9k9jjj9kj9kj9kkkj run 3 percent 0.39130434 percent^3 0.059916164894724025 sequence R^% full R^%R^%R%^R^%R^%R^%RR^R^ run 3 percent 0.39130434 percent^3 0.059916164894724025 sequence k1O full k1OOk1Ok1Ok1O1O1kOkkOkk run 3 percent 0.39130434 percent^3 0.059916164894724025 sequence k1j full k1k1jk1jk1jj1j1kjkjkkkj run 3 percent 0.39130434 percent^3 0.059916164894724025 sequence +(& full +((+(&((&+(&+(&++((+(&+( run 3 percent 0.375 percent^3 0.052734375 sequence &^( full ^(^((&((^&^(&^(&^((^(&^( run 3 percent 0.375 percent^3 0.052734375 sequence zf( full (fzf((f((fzzf(zf(zf((f(( run 3 percent 0.375 percent^3 0.052734375 sequence Hf^ full H^Hf^fHf^Hf^Hf^fHf^Hf^^ run 3 percent 0.39130434 percent^3 0.059916164894724025 sequence YO^ full ^OY^OYOYO^YO^YO^O^^YO^Y run 3 percent 0.39130434 percent^3 0.059916164894724025 sequence %HZ full H%HZZ%HZZ%ZHZ%HZ%HZ%ZHZZ run 3 percent 0.375 percent^3 0.052734375 sequence D(: full (D:(D(:((D::D(:D(:D((((: run 3 percent 0.375 percent^3 0.052734375 sequence ^1G full ^1G^G1G1GG^1G^1G^1G^G^^G run 3 percent 0.375 percent^3 0.052734375 sequence 1O| full |1O|O|1O|1O|1O||1|O1O|O| run 3 percent 0.375 percent^3 0.052734375 sequence 9fG full GfGf9fGGG9fG9fG9fGf9G9fG run 3 percent 0.375 percent^3 0.052734375 sequence DTz full TTDTzTDTTDTzTTzDTzDTzDTTTTT run 3 percent 0.33333334 percent^3 0.03703704034840629 sequence G9+ full G+G9+GGG9G9+G9+G9++G9+G+ run 3 percent 0.375 percent^3 0.052734375 sequence Rk% full Rk%Rk%Rk%kR%Rk%Rk%RRkkRk run 3 percent 0.375 percent^3 0.052734375 sequence k1. full k1.k1.k1..k11..1kkk.k..k run 3 percent 0.375 percent^3 0.052734375 sequence Rk1 full Rk1Rk1Rk1k1R1R1kRkRRkkRk run 3 percent 0.375 percent^3 0.052734375 sequence dRk full RkdRkdRkdkRdRkRkRdRkkRkd run 3 percent 0.375 percent^3 0.052734375 sequence EpP full EpPpPppEPppPppppEpPEpPEpPp run 3 percent 0.34615386 percent^3 0.041477017406447214 sequence R(& full R(R(R(&((&R(&R(&RR((R(R&( run 3 percent 0.36 percent^3 0.046656005561828834 sequence OY. full OY.O.YOY.OY.OY.O.O.YO.Y. run 3 percent 0.375 percent^3 0.052734375 sequence HRO full HROHROHROOHORHROOHRRHROR run 3 percent 0.375 percent^3 0.052734375 sequence ^kH full H^kH^kHk^kH^H^kH^kH^kk^k run 3 percent 0.375 percent^3 0.052734375 sequence R^P full R^PR^PR^PRP^R^R^RPR^PRP^ run 3 percent 0.375 percent^3 0.052734375 sequence ^+O full ^+O^O+OO^O^+O^+O^++^+O^+ run 3 percent 0.375 percent^3 0.052734375 sequence RG% full RG%RG%RG%GGGR%RGG%R%GRRRG run 3 percent 0.36 percent^3 0.046656005561828834 sequence %Jk full k%Jk%JkJ%Jk%Jk%Jk%JJJkkJk run 3 percent 0.36 percent^3 0.046656005561828834 sequence 9kG full kGGk9kGGG9kG9G9kG9kG9kkGk run 3 percent 0.36 percent^3 0.046656005561828834 sequence RGd full RGdRGdRGdGGGRdRGGRGRdRRGd run 3 percent 0.36 percent^3 0.046656005561828834 sequence :|j full ||:|j|:j|:|j:|j:|jj:j||:j run 3 percent 0.36 percent^3 0.046656005561828834 sequence T:z full TT:TzTT:TT:zTT:zT:zT:zTTTTT: run 3 percent 0.32142857 percent^3 0.03320881792238261 sequence ^MG full ^G^GMMGGG^GM^MG^MG^MGM^^G run 3 percent 0.36 percent^3 0.046656005561828834 sequence YOG full GOYOGYOGYOGGYOGYGOOGGYOGY run 3 percent 0.36 percent^3 0.046656005561828834 sequence HRk full HRkHRkHRkkHRHRkHRkRHRkkRk run 3 percent 0.36 percent^3 0.046656005561828834 sequence R^+ full R^+R^R+^R^+R^+R^++RR^+R^+ run 3 percent 0.36 percent^3 0.046656005561828834 sequence ROf full ROfROfROfOOfRfROfOfRRRfOR run 3 percent 0.36 percent^3 0.046656005561828834 sequence j^k full ^k^kjkj^k^jjj^kj^kj^kk^kj run 3 percent 0.36 percent^3 0.046656005561828834 sequence Z9k full kZZkZ9kZ9kZ9ZZ9k9ZkZZ9kkZk run 3 percent 0.34615386 percent^3 0.041477017406447214 sequence GJD full GDGJDJGJGJDGGDGJDGJDGJJJGJ run 3 percent 0.34615386 percent^3 0.041477017406447214 sequence Z:j full :ZZZj:ZjZ:jZ:jZ:jj:ZjZZZ:j run 3 percent 0.34615386 percent^3 0.041477017406447214 sequence :f( full (f:f((f:((f::f(:f(:f((f((: run 3 percent 0.34615386 percent^3 0.041477017406447214 sequence YO( full (OYO(YO(YO((YOY(OO(((Y(O(Y run 3 percent 0.34615386 percent^3 0.041477017406447214 sequence kp< full pkp<kp<kp<kppppkppkppk<pk<pk run 3 percent 0.32142857 percent^3 0.03320881792238261 sequence HRG full HRGHRGHRGGGHGRHRGGHRGRHRRG run 3 percent 0.34615386 percent^3 0.041477017406447214 sequence kYJ full kYJkYJkYJJYkYJkJkJJJkYkJYk run 3 percent 0.34615386 percent^3 0.041477017406447214 sequence G^+ full ^G+^G+GGG^G^+G^+G^++G^+^G+ run 3 percent 0.34615386 percent^3 0.041477017406447214 sequence G^f full ^Gf^GffGGG^fG^fG^fGf^Gf^^G run 3 percent 0.34615386 percent^3 0.041477017406447214 sequence Tzf full TTfTzfTTfTTfzTTzfTzfTzfTTfTTT run 3 percent 0.31034482 percent^3 0.029890520853517216 sequence (JD full (DJ(DJ(J((JDD(JD(JD(J(JJ(J( run 3 percent 0.33333334 percent^3 0.03703704034840629 sequence DT: full TTD:TTDT:TDT:TT:DT:DT:DTTTTT: run 3 percent 0.31034482 percent^3 0.029890520853517216 sequence Jk+ full k+Jk+JkJJk+Jk+Jk++JJJk+kJ+k run 3 percent 0.33333334 percent^3 0.03703704034840629 sequence .OG full GO.OG.OG.OGG.OG.GO.OGG.O.G. run 3 percent 0.33333334 percent^3 0.03703704034840629 sequence |.O full |O.|O|.O|.O|.O|||.O.O|.O|.. run 3 percent 0.33333334 percent^3 0.03703704034840629 sequence ^kG full ^kG^GkkGGG^kG^G^kG^kG^kk^Gk run 3 percent 0.33333334 percent^3 0.03703704034840629 sequence Tj9 full TTTT9jTTj9T9TjTjTj9Tj9Tj9TTTTj run 3 percent 0.3 percent^3 0.027000003218650946 sequence (YJ full (YJ(YJ(YJ((JYY(J(J(J(JJY(J(Y run 3 percent 0.32142857 percent^3 0.03320881792238261 sequence :|( full |(|:|((|:(|(:|:|(:|(:|(((|(: run 3 percent 0.32142857 percent^3 0.03320881792238261 sequence |Z: full ||:ZZ|Z|:Z|Z:|Z:|Z:|:Z|ZZ|Z: run 3 percent 0.32142857 percent^3 0.03320881792238261 sequence OpY full pOpYOpYOpYOYpOppYpOpOpppYpOpY run 3 percent 0.31034482 percent^3 0.029890520853517216 sequence (R+ full R+(R(R+(((R+(R+(R++R((R+(R+( run 3 percent 0.32142857 percent^3 0.03320881792238261 sequence +(k full k+(k(+(k((k+(k+(k++((k+(k+(k run 3 percent 0.32142857 percent^3 0.03320881792238261 sequence .O( full (O.O(.O(.O((.O(.O.O(((.(O.(. run 3 percent 0.32142857 percent^3 0.03320881792238261 sequence kZO full kOOZZkZOkZOkZOZZOkOZkZZkOkZk run 3 percent 0.32142857 percent^3 0.03320881792238261 sequence kZj full kZZkZjkZjkZjZjZjkjZkjZZkkZkj run 3 percent 0.32142857 percent^3 0.03320881792238261 sequence TGz full TGTGTzTTGTGGTGzTTzTGzTGzTGTTTGT run 3 percent 0.29032257 percent^3 0.02447047547320744 sequence JO| full |O|OJ|JO|JO|JO|||OJOJ|JJJO|J run 3 percent 0.32142857 percent^3 0.03320881792238261 sequence NkP full PkNkPNNkPNkPNNNNkNkNPNkPNkPNk run 3 percent 0.31034482 percent^3 0.029890520853517216 sequence +(J full +(J(+J(J((J+(J+(J++(J(JJ+(J+( run 3 percent 0.31034482 percent^3 0.029890520853517216 sequence ZO| full |O|OZZ|ZO|ZO|ZO|Z|Z|OOZ|ZZO|Z run 3 percent 0.31034482 percent^3 0.029890520853517216 sequence Z|j full ||ZZ|Zj|Zj|Z|jZ|jZ|jjZj|ZZ|Zj run 3 percent 0.31034482 percent^3 0.029890520853517216 sequence Ppk full pPkpkPpkpPkppPppkppkpPpkPpkPpk run 3 percent 0.3 percent^3 0.027000003218650946 sequence kpY full pkpYkpYkpYYkpppYpkppkppkYpkpYk run 3 percent 0.3 percent^3 0.027000003218650946 sequence +T: full T+T:TT+T:TT:TT:+T:+T:+T+T+TT+T: run 3 percent 0.29032257 percent^3 0.02447047547320744 sequence Tf: full TTf:TfTTf:TTf:TT:fT:fT:fTTfTTT: run 3 percent 0.29032257 percent^3 0.02447047547320744 sequence DTG full TGTDGTTDTGTGDGTGTTDTGDTGDTGTTTGT run 3 percent 0.28125 percent^3 0.022247314453125 sequence DTJ full TTDTJTDJTJTJDTTTDTJDTJDTJJTJTTJT run 3 percent 0.28125 percent^3 0.022247314453125 sequence G9T full TGTGTT9TGTGG9TG9TTTG9TG9TG9TTTGT run 3 percent 0.28125 percent^3 0.022247314453125 sequence :|p full p|p|:|p|p:|pp:|p:|p:|p:p|ppp|p: run 3 percent 0.29032257 percent^3 0.02447047547320744 sequence JpY full ppYJpYJpYJJYpppYpJpJpJpJJpYpJpY run 3 percent 0.29032257 percent^3 0.02447047547320744 sequence k(J full k(Jk(J(kJ((Jk(Jk(Jk(J(JJk(kJ(k run 3 percent 0.3 percent^3 0.027000003218650946 sequence kpO full pkOpOkpOkpOkpOpppOkpOpkppkpOkpk run 3 percent 0.29032257 percent^3 0.02447047547320744 sequence RPT full RPTTRTPTRTTPTRPTTTRTRTRPTRPTRPTT run 3 percent 0.28125 percent^3 0.022247314453125 sequence fTj full TTfTfTjTfTjTfTjTjfTjfTjfTjTfTTTj run 3 percent 0.28125 percent^3 0.022247314453125 sequence (pY full p(pY(pY(pY((YpppYp(p(p(p(pY(pp(Y run 3 percent 0.28125 percent^3 0.022247314453125 sequence :p( full p(p:(p(p:((pp:p:p(:p(:p(p(p(pp(: run 3 percent 0.28125 percent^3 0.022247314453125 sequence jJp full ppJjpJpJjJppjppjjJpjJpjJpJJppJpj run 3 percent 0.28125 percent^3 0.022247314453125 sequence O|p full p|Op|O|pO|pO|pOp|p|p|OpOp|pppO|p run 3 percent 0.28125 percent^3 0.022247314453125 sequence YT| full |TTY|T|TYT|YT|YT|TTY|T|TT|TTY|TYT run 3 percent 0.27272728 percent^3 0.020285501438007652 sequence pO( full p(OpO(pO(pO((pOppp(OpO(p(p(p(pOp( run 3 percent 0.27272728 percent^3 0.020285501438007652 sequence Jkp full pkpJkpJkpJJkppppJkpJpkJpJJpkpkJpk run 3 percent 0.27272728 percent^3 0.020285501438007652 sequence pPN full pPNpPNpNpPNppPNpNNpNpNpNpPNpPNpPNp run 3 percent 0.2647059 percent^3 0.018547733458972003 sequence NpY full pNpYNpYNpYYNppNpYNNpNpNpNpNpNYpNpY run 3 percent 0.2647059 percent^3 0.018547733458972003 sequence GTf full TGTfGTfTTfGTGGTfGTTfTGfTGfTGTfTTGT run 3 percent 0.2647059 percent^3 0.018547733458972003 sequence TjJ full TTTJTjJTJTjJTTjTjTjJTjJTjJJTJTTJTj run 3 percent 0.2647059 percent^3 0.018547733458972003 sequence pGJ full pGpGJpJpGJGJGppGppGJpGJpGJpJJppGJp run 3 percent 0.2647059 percent^3 0.018547733458972003 sequence PTN full PTNTTPTNNTTPNTPTNTNNNTTNTNPTNPTNPTNT run 3 percent 0.25 percent^3 0.015625 sequence |pZ full p|p|ZZ|Zp|pZ|Zpp|pZ|pZ|pZp|ZpZpp|Zp run 3 percent 0.25714287 percent^3 0.017002918323344624 sequence pT: full pTTp:TTpTp:TpTp:TpT:pT:pT:pTpTpTpTpT: run 3 percent 0.24324325 percent^3 0.014392040673006975 sequence pPT full pPTTpTPTpTpTPpTpPTpTpTpTpTpPTpPTpPTpT run 3 percent 0.24324325 percent^3 0.014392040673006975 sequence TGJ full TGTGTJTJTGJTGJGTGTTTGJTGJTGJJTJTTGJT run 3 percent 0.25 percent^3 0.015625 sequence JT| full |TT|TJ|TJT|JT|JT|TT|T|JTJT|JJTJT|TJT run 3 percent 0.25 percent^3 0.015625 sequence Np. full pNp.N.pNp..NppNpNNpN..pNpNpNp.Np.Np. run 3 percent 0.25 percent^3 0.015625 sequence RNp full RpNpRRNpNpNppRNpNNpNRpNRpNRpRNpNpRNp run 3 percent 0.25 percent^3 0.015625 sequence pkN full pkNpkNpNkpNkppNpNNpNkpNpkNpNpkNpkNpk run 3 percent 0.25 percent^3 0.015625 sequence ZT| full |TT|TZZ|TZT|ZT|ZT|TZT|ZT|TZT|ZZTT|TZT run 3 percent 0.24324325 percent^3 0.014392040673006975 sequence Tjp full pTTpTTjpTpTjpTpTjpTpjTjpTjpTjpTpTpTpTj run 3 percent 0.23684211 percent^3 0.013285465277258922 sequence NZp full pNpZZZNpNpZNZppNpZNNpNZpNZpNZpZNpNpZNp run 3 percent 0.23684211 percent^3 0.013285465277258922 sequence TJp full pTTpTJTpJTpJTJpTpTpTpTJpTJpTJpJTJpTpTJpT run 3 percent 0.225 percent^3 0.01139062409475448 sequence pTG full pTGTpGTTpTpGTGGpTpGTpTpTGpTGpTGpTpTpTGpT run 3 percent 0.225 percent^3 0.01139062409475448 run 3 val 32.31180516359732 add 64.62361032719464 exp 1 run 4 val 4.410035138740331 add 17.640140554961324 exp 2 run 5 val 0.8664236973534396 add 6.931389578827517 exp 3 run 6 val 0.9695834789752603 add 15.513335663604165 exp 4 104.70847612458765
Posted : January 21, 2017 9:32 pm
Topic starter
Although semi mentally unable to work hard on the 340 right now, I have been watching and wondering how the cycles and pivots relate to each other. Below are some spreadsheets showing where cycles start and stop depending on the count of consecutive alternations. Pivots are outlined in blue.
I count ABABA as 4 consecutive alternations for example. So I start with 4 consecutive alternations, and go to 10. Some of the cycles stop on pivot positions. Meaning that if I have ABABAA, the second to last A is where the stop position is, not the last A because that is not part of the cycle.
Some of the longest cycles end on the horizontal pivot positions, meaning that the cycles continued to and including the pivots. Then after the pivots, there was no more cycle. Scroll up and down the spreadsheets to see.
The numbers in the cells show how many cycles at the designated count of consecutive alternations start or stop at that position, and the cells are shaded conditioned on count.
Also, position 234, the axis of the rightmost pivot, is the last position for quite a few cycles. 234 is a multiplier of 13, a number discussed in the coincidence count thread because there are some period 26 and 39 bigram repeats that repeat at a spacing of 78. All multipliers of 13. The axis of the leftmost pivot is of course also a multiplier of 13 because the pivots are on a period of 39. Very strange!
EDIT: The count of cycle stop and starts shown is for the designated count of consecutive alternations and higher. So, if the designated count of consecutive alternations is 4, then the numbers show 4 and above. If the count is 5, then the numbers show 5 and above. So, the one cycle with 10 consecutive alternations that stops at position EDIT: 192 is shown on all of the spreadsheets.
Posted : January 22, 2017 1:08 am
Topic starter
The 6th highest scoring L=2 cycle, RKRKRKRKRKR, stops on a pivot position, below.
Posted : January 22, 2017 1:44 am
Very interesting examination, smokie. Makes me wonder if some operation involving the pivots, when done in reverse, would greatly improve the cycle scores.
Posted : January 22, 2017 2:04 am
Very interesting smokie,
I’ve noted a possible connection between the pivots and the encoding a couple of times before but don’t know what to make of it. Below is a post of me on the matter from the other thread. I ran more tests back then and my conclusion was that when removal of fragments (various sizes) is combined with measuring the encoding (for example with my m_2s_cycles, derived from smokie’s 2 symbol cycle system) it often points to the pivots as best options for removal.
I’ve been looking at the encoding again and ran all combinations of removing 2 rows from the cipher and scored the encoding. The highest peak occured while removing rows 12 and 14 (pivot rows). Then ran all combinations of removing 2 columns from the cipher. The highest peak occured while removing column 8 and 13 (pivot columns). Could anyone confirm this find?
Posted : January 22, 2017 12:24 pm
