from fractions import Fraction as F

def run(load,check):
 data=load('C322_DATA.json');rev=load('C314_DATA.json');reg=load('C286_DATA.json')['target_register'];anc=load('C271_REGISTER.json');ph=[F(-1,4),F(1,4)];tested=[];hits=[];phase_trials=0;phase_hits=[]
 for bio in data['biographies']:
  g=bio['gear'];i=bio['i'];roles=bio['roles'];r=next(r for r in rev['rows'] if r['gear']==g and r['rail']=='primary')
  check(f'G{g} inherited reverseindex',r['i']==i and r['j']==10-i)
  for ar in roles:
   A=bio['SP_records'][ar];B=bio['MT_records'][ar]
   check(f'G{g} {ar} frozen membership',A in reg and B in reg and A['center']-B['center']==460)
   for cr in roles:
    C=bio['SP_records'][cr];a,b,c=A['center'],B['center'],C['center'];ok=(a-b,b-c,a-c)==(460,40,500)
    rec={'gear':g,'source_i':i,'anchor_role':ar,'terminal_role':cr,'A_SP':a,'B_MT':b,'C_SP':c,'spans':[a-b,b-c,a-c],'success':ok};tested.append(rec)
    cp=[]
    for ea in ph:
     for eb in ph:
      for ec in ph:
       phase_trials+=1;av,bv,cv=F(a)+ea,F(b)+eb,F(c)+ec;success=(av-bv,bv-cv,av-cv)==(460,40,500)
       if success:
        check(f'G{g} {ar} {cr} {ea} phasebinding',ok and ea==eb==ec)
        item={'phase_A':str(ea),'phase_B':str(eb),'phase_C':str(ec),'A_SP':str(av),'B_MT':str(bv),'C_SP':str(cv)};cp.append(item);phase_hits.append({'gear':g,'anchor_role':ar,'terminal_role':cr,**item})
    if ok:
     check(f'G{g} {ar} exactphasepair',len(cp)==2)
     # C314's Shem output offset is opposite its cumulative ancestry.
     check(f'G{g} {ar} terminalrolebound',cr in ['Shem birth','Shem death'])
     for comp in cp:
      e=F(comp['phase_C']);key='Shem_birth' if cr=='Shem birth' else 'Shem_death'
      rc=[x for x in r['components'] if F(x[key])==F(C['center'])+e]
      check(f'G{g} {ar} {e} C314terminal',len(rc)==1 and F(rc[0]['Shem_ancestry_phase'])==-e)
      ac=[x for x in anc if x['source_event']['tradition']=='SP' and x['source_event']['gear']==g and x['source_event']['role']==ar and (ar=='Flood start' or x['source_event']['rail']=='primary')]
      check(f'G{g} {ar} {e} C271anchor',len(ac)==1 and ac[0]['cumulative_source']['source_index']==i and any(F(x['reflected_coordinate'])==F(A['center'])+e for x in ac[0]['phases']))
     ancestry=[{'output_phase':p['phase_C'],'cumulative_Shem_target_ancestry':str(-F(p['phase_C'])),'cumulative_index_j':r['j'],'anchor_cumulative_index_i':i,'anchor_cumulative_role':'Flood' if ar=='Noah birth' else 'Shem'} for p in cp]
     hits.append({**rec,'records':{'A':A,'B':B,'C':C},'components':cp,'inherited_ancestry':ancestry})
 check('finiteannualdomain',len(tested)==75)
 check('finitephasedomain',phase_trials==600)
 check('sixsourcechains',len(hits)==6 and len(phase_hits)==12)
 check('two rolefamilies',{(h['anchor_role'],h['terminal_role']) for h in hits}=={('Noah birth','Shem birth'),('Flood start','Shem death')})
 return {'step':'C325','comparison_domain':tested,'hits':hits,'phase_hits':phase_hits,'counts':{'annual_triples_tested':75,'phase_triples_tested':600,'admitted_annual_triples':6,'admitted_exact_components':12,'role_families':2,'Gears':3},'operator_applied':'none; compare existing endpoints only','dependency':'A−C500 and A−B460 force B−C40; source membership and typing independently checked.','source_prescription_established':False,'phase_limit':'Matchedoutputphases require oppositeinheritedcumulativeShem-targetphase; no newphaseoperation adopted.'}