s1160.py

from research import *
s=begin(1160,'Identify the complete early remainder block','What common row relation joins Arphaxad andShelah across the three traditions?',{},['C1151','File18 §§2.2,3.2.1,4.2'])
d=json.loads((ROOT/'model/postflood_rows.json').read_text());pairs={}
for t,rr in d.items():
 pair=[r for r in rr if r['name'] in ['Arphaxad','Shelah']]
 pairs[t]={'names':[r['name'] for r in pair],'b':[r['b'] for r in pair],'L':[r['L'] for r in pair],'r':[r['r'] for r in pair],'birth_gap':pair[0]['b']-pair[1]['b'],'life_gap':pair[0]['L']-pair[1]['L']}
a=artifact('model/postflood_early_remainder_block.json',json.dumps(pairs,indent=2)+'\n')
finish(s,{'early_remainder_block':a,'remainder_values':{t:v['r'][0] for t,v in pairs.items()}},'Each tradition preserves an equal-remainder Arphaxad/Shelah pair:403,303 or330. Their five-year begetting difference is matched by a five-year lifespan difference. This is a relational block carried through both measurements.','Determine how many independent coordinates describe the complete cross-tradition early block.',{'equal_remainders':all(v['r'][0]==v['r'][1] for v in pairs.values()),'paired_five':all(v['birth_gap']==v['life_gap']==5 for v in pairs.values())})