from research import *
s=begin(663,'Recover the cumulative first-to-last triple','Does the12075 correspondence apply to the whole supplied triple?',{'creation':[14011,14004,13997],'household':[1936,1929,1922],'companion_role':'13997 source lower comparison node'},['File70 §§1.4,5.8; A.13.1'])
a=[14011,14004,13997]; b=[1936,1929,1922]; differences=[x-y for x,y in zip(a,b)]
finish(s,{'corresponding_spans':differences,'cross_matrix':[[x-y for y in b] for x in a],'P_output':P*12075,'175_coefficients':[F(12075,175),P*F(12075,175)]},'The supplied first-to-last triples form one7-year rail translated by12075. Its Prophetic conversion69→70 in175 units recovers12250, now within a complete coordinate family rather than an isolated duration.','Fit Jacob’s147|490 biography and household boundary into the retained-path explanation.',{'all_three':differences==[12075]*3,'P':P*12075==12250,'anatomy':12075==25*483==69*175})