#include<iostream>
#include<cstdio>
#include<vector>
#include<algorithm>
#define N 200000
using namespace std;
int read()
{
	char c=0;
	int sum=0;
	while (c<'0'||c>'9') c=getchar();
	while ('0'<=c&&c<='9') sum=sum*10+c-'0',c=getchar();
	return sum;
}
struct reads
{
	int num,data,snum;
};
struct node
{
	int num,data;
	bool operator < (const node &t)const
	{
		return data<t.data;	
	}
};
node tong[N+1];
int n,m,k,length,depth[N+1],fa[N+1],tfa[N+1],dp[N+1];
long long ans;
vector<reads>E[N+1];
bool used[N+1],vis[N+1],vst[N+1];
void add(int x,int y,int z,int w)
{
	E[x].push_back((reads){y,z,w}),E[y].push_back((reads){x,z,w});
	return;
}
void dfs(int x)
{
	used[x]=1;
	for (int i=0;i<E[x].size();++i)
		if (!used[E[x][i].num])
			fa[E[x][i].num]=x,tfa[E[x][i].num]=E[x][i].data,depth[E[x][i].num]=depth[x]+1,vis[E[x][i].snum]=1,dfs(E[x][i].num),dp[x]+=dp[E[x][i].num];
	return;
}
int main()
{
	int x,y,z;
	long long cnt,scnt;
	n=read(),m=read(),k=read();
	for (int i=1;i<=k;++i) x=read(),dp[x]++;
	for (int i=1;i<=k;++i) x=read(),dp[x]--;
	for (int i=1;i<=m;++i) x=read(),y=read(),z=read(),add(x,y,z,i);
	depth[1]=1,dfs(1);
	for (int i=1;i<=n;++i)
		for (int j=0;j<E[i].size();++j)
			if (!vis[E[i][j].snum]&&depth[i]<depth[E[i][j].num])
			{
				x=E[i][j].num,length=cnt=scnt=0;
				while (x!=i) vst[x]=1,tong[++length]=(node){tfa[x],dp[x]},x=fa[x];
				tong[++length]=(node){E[i][j].data,0},sort(tong+1,tong+length+1);
				for (int k=1;k<=length;++k) cnt+=tong[k].num;
				for (int k=1;k<=length;++k)
				{
					scnt+=tong[k].num;
					if (scnt>=((cnt+1)>>1))
					{
						for (int t=1;t<=length;++t) ans+=1ll*tong[t].num*abs(tong[k].data-tong[t].data);
						break;
					}
				}
			}
	for (int i=2;i<=n;++i)
		if (!vst[i])
			ans+=1ll*tfa[i]*abs(dp[i]);
	printf("%lld\n",ans);
	return 0;
}