BEGIN{q["m"]=q["l"]=FS=""}{x=0;for(k=1;k<=NF;k++)w["m"NR]=w["l"NR]=x=x*2+(b["m"NR,k]=b["l"NR,k]=$k)}END{ for(i=1;i<k;i++)for(p in q){ delete r;y=n=0; for(j in w)if(j~p){y+=r[j]=b[j,i];n++} if(n>1)for(j in r)if(r[j]!=(p~"m"?y*2>=n:y*2<n))delete w[j] } x=1;for(t in w)x*=w[t];print x}
BEGIN{q["m"]=q["l"]=FS=""}
{x=0;for(k=1;k<=NF;k++)w["m"NR]=w["l"NR]=x=x*2+(b["m"NR,k]=b["l"NR,k]=$k)}
END{
for(i=1;i<k;i++)for(p in q){
delete r;y=n=0;
for(j in w)if(j~p){y+=r[j]=b[j,i];n++}
if(n>1)for(j in r)if(r[j]!=(p~"m"?y*2>=n:y*2<n))delete w[j]
}
x=1;for(t in w)x*=w[t];print x
}