from research import *
s=begin(566,'Generate the12250 cumulative variant','How do the separate Cainan and Apparent operations combine in this source state?',{'base_head':14006,'Isaac':2246,'cumulative_Cainan':460,'Apparent':30},['File61 §§17.6–17.7'])
heads=[14006,14006+460,14006+30,14006+460+30];legs=[x-2246 for x in heads]
finish(s,{'heads':heads,'upper_legs':legs,'combined_factorization':[25,490]},'Separate source operations+460 and+30 combine additively to a490 increment. The combined upper leg12250 is25×490; numerical summation does not identify the two state changes or regular Cainan130 with cumulative460.','Recover the full, half and quarter Key family behind clutch magnitudes.',{'combined':heads[-1]==14496 and legs[-1]==12250,'factor':12250==25*490})