// Problem: No.2604 Initial Motion // Contest: yukicoder // URL: https://yukicoder.me/problems/no/2604 // Memory Limit: 512 MB // Time Limit: 3000 ms #include #define debug(x) cerr<<(#x)<<" "<<(x)< #define rep(i,a,b) for(ll i=(a);i<=(b);++i) #define per(i,a,b) for(ll i=(a);i>=(b);--i) using namespace std; ll read(){ ll x=0,f=1;char ch=getchar(); while(ch<'0'||ch>'9'){if(ch=='-')f=-1;ch=getchar();} while(ch>='0'&&ch<='9'){x=x*10+ch-'0';ch=getchar();} return x*f; } void write(ll x){ if(x<0)putchar('-'),x=-x; if(x>9)write(x/10); putchar(x%10+'0'); } const ll N=1e4+5,M=5e6+5,INF=1e14; ll n,m,S,T,tot=1,hd[N],mxf,mnc,d[N],pre_p[N],pre_e[N],flow[N],in[N]; ll dis[N],ok[N],a[N],b[N],k; struct Edg{ ll to,nxt,c,f; }es[M<<1]; void adde(ll x,ll y,ll c,ll f){ es[++tot]=(Edg){y,hd[x],c,f}; hd[x]=tot; es[++tot]=(Edg){x,hd[y],-c,0}; hd[y]=tot; } bool spfa(){ rep(i,0,T)d[i]=flow[i]=INF,in[i]=0; queueq; q.push(S); d[S]=0,flow[S]=INF,pre_p[T]=-1,in[S]=1; while(!q.empty()){ ll u=q.front();q.pop(); in[u]=0; for(ll i=hd[u];i;i=es[i].nxt){ ll v=es[i].to,c=es[i].c,f=es[i].f; if(f&&d[v]>d[u]+c){ d[v]=d[u]+c; flow[v]=min(flow[u],f); pre_p[v]=u,pre_e[v]=i; if(!in[v])in[v]=1,q.push(v); } } } return pre_p[T]!=-1; } void runflow(){ for(ll x=T;spfa();){ for(;x!=S;x=pre_p[x])es[pre_e[x]].f-=flow[T],es[pre_e[x]^1].f+=flow[T]; mxf+=flow[T],mnc+=d[T]*flow[T]; x=T; } } vectorto[N]; int main(){ k=read(),n=read(),m=read(); rep(i,1,k)a[i]=read(); rep(i,1,n)b[i]=read(); rep(i,1,m){ ll x=read(),y=read(),z=read(); to[x].push_back(make_pair(y,z)); to[y].push_back(make_pair(x,z)); } S=0,T=n+k+1; rep(i,1,k){ rep(j,1,n)dis[j]=INF,ok[j]=0; dis[a[i]]=0; priority_queueq; q.push(make_pair(0,a[i])); while(!q.empty()){ pii now=q.top();q.pop(); ll u=now.second; if(ok[u])continue; ok[u]=1; for(pii es:to[u]){ ll v=es.first,w=es.second; if(dis[v]>dis[u]+w){ dis[v]=dis[u]+w; q.push(make_pair(-dis[v],v)); } } } rep(j,1,n){ if(b[j])adde(i,j+k,dis[j],1); } adde(S,i,0,1); } rep(i,1,n){ if(b[i])adde(i+k,T,0,b[i]); } runflow(); write(mnc); return 0; }