s500.py

from research import *
ratios={'E':E,'P':P,'J':J};days={'E':336,'P':360,'J':364}
s=begin(500,'The calendar family’s common measure','Do the three Keys share a conserved quantity despite producing different year counts?',{'ratios':ratios,'year_lengths':days,'source_seed':12558},['Strategy §3.3','File52c §3.15','C481'])
r={k:{'calibration':days[k]*r,'seed_output':12558*r,'modeled_day_volume':12558*r*days[k]} for k,r in ratios.items()}
finish(s,r,'All three use K=8400/23 and give the same modeled day-volume4586400 for seed12558. The reusable rule is K_d(s)=(K/d)s. This explains common measurement, not every selected chronological placement.',
 'Find the common integral input domain and apply it to the Jared–Noah–Flood field.',{'calibration':len(set(days[k]*v for k,v in ratios.items()))==1,'volume':all(x['modeled_day_volume']==4586400 for x in r.values())})