s938.py

from research import *
s=begin(938,'Derive the aggregate-digit measurement','How much component information determines the reversed total?',{},['C933–937;declared decimal register'])
q=json.loads((ROOT/'model/junction_path_coordinates.json').read_text())['coordinates'];out={}
for name in ['regular','cumulative']:
 legs=q[name+'_legs'];digits=[]
 for n in legs:
  assert n%10==0 and (n//10)%10!=0 and 100<=n//10<=999
  digits.append([int(d) for d in str(n//10)])
 H,T,U=[sum(d[i] for d in digits) for i in range(3)]
 out[name]={'digits':digits,'aggregate':[H,T,U],'original':10*(100*H+10*T+U),'reversed':10*(H+10*T+100*U)}
a=artifact('model/junction_aggregate_digits.json',json.dumps(out,indent=2)+'\n')
finish(s,{'aggregates':{k:v['aggregate'] for k,v in out.items()},'artifact':a},'For these four-digit durations with exactly one trailingzero, the whole component evaluation depends only on three digit-column sums. Individual component digits contain additional information about the internal breakpoint, but are unnecessary for the outer transformed total.','Classify the aggregate possibilities for the regular2700 total before selecting a breakpoint.',{'source_totals':[v['original'] for v in out.values()]==[2700,12600],'evaluated_totals':[v['reversed'] for v in out.values()]==[10620,10620]})