from research import *
s=begin(643,'Solve the source-state correction congruence','Given the standard2236 vector, what correction first enters the complete calendar-compatible class?',{'standard_vector':2236,'compatible_class':'2366+32760q','permitted_test':'nonnegative integer correction to Creation rail only'},['C640,C642; File70 regular Cainan comparison'])
c=2366-2236;corrections=[c+32760*q for q in range(3)]
finish(s,{'correction_class':'130+32760q','least_nonnegative':c,'examples':corrections,'source_regular_Cainan':130},'With the standard vector and the14/26 offsets fixed, the least nonnegative correction satisfying all three calendar conditions is130. This recovers the supplied regular-Cainan increment conditionally; it does not infer an insertion history or change the frozen MT state.','Use the supplied Enoch close to reconstruct the Priestly minimum’s internal partition.',{'least':c==130 and c-32760<0,'compatible':all((2236+x)%182==0 and (2236+x-14)%168==0 and (2236+x-26)%180==0 for x in corrections)})