fractions.txt

18.828427654877792 = 113176610252/6010943257
18.828427654877792 = 11644626562/618459851
18.828427654877792 = 1206388604803/64072721680
18.828427654877792 = 1351199027/71763774
18.828427654877792 = 1444300989908416/76708529059475
18.828427654877792 = 14697597531/780606740
18.828427654877792 = 1525114896090/81000650933
18.828427654877792 = 155558666430211/8261904248277
18.828427654877792 = 16070294714071/853512306425
18.828427654877792 = 17750568500/942753629
18.828427654877792 = 181693170597/9649938589
18.828427654877792 = 1918456341/101891479
18.828427654877792 = 20236282155/1074772813
18.828427654877792 = 20803539469/1104900518
18.828427654877792 = 216684399/11508364
18.828427654877792 = 23856510438/1267047407
18.828427654877792 = 2485713655/132019184
18.828427654877792 = 250209730942/13288933921
18.828427654877792 = 250774046109834/13318905365147
18.828427654877792 = 25471193821553/1352805145944
18.828427654877792 = 26342224093/1399066591
18.828427654877792 = 2731503500893/145073372613
18.828427654877792 = 3052970969/162146889
18.828427654877792 = 318726291287/16927929253
18.828427654877792 = 32448166031/1723360369
18.828427654877792 = 345989425789457/18375906482017
18.828427654877792 = 34872092929035/1852097985463
18.828427654877792 = 3937892105696/209146094293
18.828427654877792 = 44660049907/2371947925
18.828427654877792 = 50198734531/2666113998
18.828427654877792 = 5538684624/294166073
18.828427654877792 = 568936022229/30216863174
18.828427654877792 = 596763471899291/31694811847164
18.828427654877792 = 60343286750588/3204903131407
18.828427654877792 = 6669395606589/354219466906
18.828427654877792 = 67949303031/3608867627
18.828427654877792 = 68516560345/3638995332
18.828427654877792 = 783941713/41636069
18.828427654877792 = 847537518009125/45013717212311
18.828427654877792 = 85699871531/4551621256
18.828427654877792 = 8591655593/456312962
18.828427654877792 = 887662313516/47144792427
18.828427654877792 = 9400899107482/499292839519
18.828427654877792 = 95215379679623/5057001116870

Finally you can compress the path sequence using bit packing for L and R's and compress that bit string using one of many techniques (probably the most space efficient but it depends how clever you want to be).

haha, i explored but not found a solution to scene of my application, but i would going on .

LexoRank is interesting, maybe i would get some inspiration from it，and it is also anther way to topic, but reblance (update many items) would still occurs in some cases.

Anyway , thank for your reply.