from research import *
s=begin(517,'A genuine junction with the restored Cainan companion','What extra constraint links the transformed trio to the separately supplied Cainan row?',{'Cainan_birth':2551,'Cainan_begetting':2421,'Cainan_death':2091,'generated_Mahalalel':601,'reflected_generated_Shelah_AD':1351},['File52c §3.12; companion outside frozen MT manifest'])
q=[1-2551,1-601,1351-1]
finish(s,{'rounded_q':q,'adjacent_widths':[q[1]-q[0],q[2]-q[1]],'linear_constraint':'2551=2*601+1351−2','Cainan_row_parts':[2551-2421,2421-2091],'civil_second_width':601+1351-1},
 'The separately supplied Cainan birth lies1950 before generated601, which lies1950 before reflectedAD1351 in rounded coordinates. This adds an actual placement constraint beyond the trio’s affine ratio preservation. The companion remains a local comparison, not a re-dating of the frozen MT chain.',
 'Relate the330 remainder to both the cross-mode Cainan bridge and the trio’s width.',{'midpoint':q[1]*2==q[0]+q[2],'widths':q[1]-q[0]==q[2]-q[1]==1950,'row':[2551-2421,2421-2091]==[130,330]})