#include<cstring>
#include<cstdio>
#include<cmath>
#include<algorithm>
#define N 1010
#define M 1010000
#define inf 100000000
using namespace std;
int a[N],b[N],c[N];
int in[N],pre[N],id[N],vis[N];
struct Edge{
    int u,v,w;
}edge[M];
int cnt,n;
inline int dis(int x,int y){
    return abs(a[x]-a[y])+abs(b[x]-b[y])+abs(c[x]-c[y]);
}
int Directed_MST(int root){
    int ret=0,i;
    while(1){
        for(i=0;i<=n;i++)in[i]=inf;
        for(i=0;i<cnt;i++){
            int u=edge[i].u,v=edge[i].v;
            if(edge[i].w<in[v] && u!=v){
                pre[v]=u;
                in[v]=edge[i].w;
            }
        }
        in[root]=0;
        for(i=0;i<=n;i++)
            if(in[i]==inf)return -1;
        int node=0;
        memset(id,-1,sizeof(id));
        memset(vis,-1,sizeof(vis));
        for(i=0;i<=n;i++){
            ret+=in[i];
            int v=i;
            while(vis[v]!=i && v!=root){
                vis[v]=i;
                v=pre[v];
            }
            if(v!=root && id[v]==-1){
                for(int u=pre[v];u!=v;u=pre[u])
                    id[u]=node;
                id[v]=node++;
            }
        }
        if(node==0)break;
        for(i=0;i<=n;i++)
            if(id[i]==-1)
                id[i]=node++;
        for(i=0;i<cnt;i++){
            int v=edge[i].v;
            edge[i].u=id[edge[i].u];
            edge[i].v=id[edge[i].v];
            if(edge[i].u!=edge[i].v)
                edge[i].w-=in[v];
        }
        n=node-1;
        root=id[root];
    }
    return ret;
}
int main(){
    int i,j,p,q;
    int x,y,z;
    while(scanf("%d %d %d %d",&n,&x,&y,&z)){
        if(n==0 && x==0 && y==0 && z==0)break;
        cnt=0;
        for(i=1;i<=n;i++){
            scanf("%d %d %d",&a[i],&b[i],&c[i]);
            edge[cnt].u=0,edge[cnt].v=i,edge[cnt].w=c[i]*x;
            cnt++;
        }
        for(i=1;i<=n;i++){
            scanf("%d",&p);
            for(j=1;j<=p;j++){
                scanf("%d",&q);
                if(q==i)continue;
                if(c[q]<=c[i])
                    edge[cnt].u=i,edge[cnt].v=q,edge[cnt].w=dis(i,q)*y;
                else
                    edge[cnt].u=i,edge[cnt].v=q,edge[cnt].w=dis(i,q)*y+z;
                cnt++;
            }
        }
        printf("%d\n",Directed_MST(0));
    }
}