from research import *
from itertools import combinations
s=begin(1137,'Test whether the early rounded grid fixes the interior','Do the first-five460 total, retained65 scale, five-year grid and descending order recover105,90,70?',{'scale':65,'grid':5,'order':'130>Seth>Enosh>Kenan>65'},['C1134','File51a §8.3','File18 §3.1'])
solutions=sorted([(a,b,c) for c,b,a in combinations(range(70,130,5),3) if a+b+c==265])
a=artifact('model/SP_early_grid_fibre.json',json.dumps({'solutions':solutions,'source':[105,90,70],'scope':'complete bounded diagnostic family; these are not chronology admissions or a statistical sample'},indent=2)+'\n')
finish(s,{'early_grid_fibre':a,'solutions':solutions,'count':len(solutions)},'The natural five-year grid and strict early-age order still permit multiple internal allocations. The actual105,90,70 is retained as source data rather than forced by460 and65.','Determine how much one extra internal source age would identify within this complete bounded family.',{'actual_included':(105,90,70) in solutions,'nonunique':len(solutions)>1,'all_admitted_conditions':all(130>a>b>c>65 and a+b+c==265 for a,b,c in solutions)})