#include <cstdio> #include <iostream> #include <cstring> using namespace std; const int N=1300; const int MAXE=200000; const int inf=1<<30; int head[N],s,t,cnt,n,ans; int d[N],pre[N]; bool vis[N]; int q[MAXE]; int val[110]; char str[110]; struct Edge { int u,v,c,w,next; }edge[MAXE]; void addedge(int u,int v,int w,int c) { edge[cnt].u=u; edge[cnt].v=v; edge[cnt].w=w; edge[cnt].c=c; edge[cnt].next=head[u]; head[u]=cnt++; edge[cnt].v=u; edge[cnt].u=v; edge[cnt].w=-w; edge[cnt].c=0; edge[cnt].next=head[v]; head[v]=cnt++; } int SPFA() { int l,r; memset(pre,-1,sizeof(pre)); memset(vis,0,sizeof(vis)); for(int i=0;i<=t;i++) d[i]=inf; d[s]=0; l=0;r=0; q[r++]=s; vis[s]=1; while(l<r) { int u=q[l++]; vis[u]=0; for(int j=head[u];j!=-1;j=edge[j].next) { int v=edge[j].v; if(edge[j].c>0&&d[u]+edge[j].w<d[v]) { d[v]=d[u]+edge[j].w; pre[v]=j; if(!vis[v]) { vis[v]=1; q[r++]=v; } } } } if(d[t]==inf) return 0; return 1; } void MCMF() { int flow=0; while(SPFA()) { int u=t; int mini=inf; while(u!=s) { if(edge[pre[u]].c<mini) mini=edge[pre[u]].c; u=edge[pre[u]].u; } flow+=mini; u=t; ans+=d[t]*mini; while(u!=s) { edge[pre[u]].c-=mini; edge[pre[u]^1].c+=mini; u=edge[pre[u]].u; } } } int main() { while(1) { int i,j; scanf("%d",&n); if(n==0) break; cnt=0; s=0,t=n*2+2; memset(head,-1,sizeof(head)); for(i=1;i<=n;i++) {scanf("%d",&val[i]);addedge(s,i,0,1);addedge(i,2*n+1,0,1);addedge(i+n,t,0,1);} addedge(2*n+1,t,0,inf); for(i=1;i<=n;i++) { scanf("%s",str+1); int len=strlen(str+1); for(j=1;j<=len;j++) if(str[j]=='1') addedge(i,j+n,-(val[i]^val[j]),1); } ans=0; MCMF(); printf("%d ",-ans); } return 0; }