s683.py

from research import *
s=begin(683,'Reconstruct the civil alternating continuation','Does the native30|690 cell close consistently across the missing year zero?',{'civil_nodes':['1446BC','1416BC','726BC','696BC','6BC','AD25'],'elapsed_coordinate':'BC B -> 1−B; AD A -> A'},['Supplement A §5.2'])
civil=[1-1446,1-1416,1-726,1-696,1-6,25]; gaps=[civil[i+1]-civil[i] for i in range(5)]
finish(s,{'elapsed_coordinates':civil,'gaps':gaps,'total':civil[-1]-civil[0],'direct_civil':1446+25-1},'The admitted continuation preserves30|690|30|690|30 and totals1470 under civil BC+AD−1. Its comparison terminals retain their source roles. The rounded mirror convention is a separate coordinate rule and is not substituted here.','Relate the source’s750 civil brackets and final three-year completion.',{'gaps':gaps==[30,690,30,690,30],'closure':sum(gaps)==1446+25-1==1470})