from research import *
s=begin(575,'Compress Key gains and day volumes','Which apparent agreements follow automatically from the897 normal form?',{'input':897,'outputs':[900,910,975],'calendar_days':[364,360,336]},['File12 calendrical physics; File63; C574'])
gains=[900-897,910-897,975-897];gaps=[910-900,975-910,975-900];vol=[900*364,910*360,975*336]
finish(s,{'gain_coefficients':gains,'output_gap_coefficients':gaps,'day_volume_coefficient':vol,'lattice_condition':'integer S divisible by lcm(299,69,23)=897'},'The gains3n/13n/78n, output gaps10n/65n/75n and common327600n day volume are consequences of one calibrated lattice. They should be counted as dependent outputs of that structure.','Reconstruct the smaller quarter-carrier ladder that supplies483.',{'gains':gains==[3,13,78],'volume':len(set(vol))==1,'denominators':897%299==897%69==897%23==0})