#include <bits/stdc++.h>
#define ll long long
#define INF 1000000005
#define MOD 1000000007
#define EPS 1e-10
#define rep(i,n) for(int i=0;i<(int)(n);++i)
#define rrep(i,n) for(int i=(int)(n)-1;i>=0;--i)
#define srep(i,s,t) for(int i=(int)(s);i<(int)(t);++i)
#define each(a,b) for(auto& (a): (b))
#define all(v) (v).begin(),(v).end()
#define len(v) (int)(v).size()
#define zip(v) sort(all(v)),v.erase(unique(all(v)),v.end())
#define cmx(x,y) x=max(x,y)
#define cmn(x,y) x=min(x,y)
#define fi first
#define se second
#define pb push_back
#define show(x) cout<<#x<<" = "<<(x)<<endl
#define spair(p) cout<<#p<<": "<<p.fi<<" "<<p.se<<endl
#define sar(a,n) cout<<#a<<":";rep(kbrni,n)cout<<" "<<a[kbrni];cout<<endl
#define svec(v) cout<<#v<<":";rep(kbrni,v.size())cout<<" "<<v[kbrni];cout<<endl
#define svecp(v) cout<<#v<<":";each(kbrni,v)cout<<" {"<<kbrni.first<<":"<<kbrni.second<<"}";cout<<endl
#define sset(s) cout<<#s<<":";each(kbrni,s)cout<<" "<<kbrni;cout<<endl
#define smap(m) cout<<#m<<":";each(kbrni,m)cout<<" {"<<kbrni.first<<":"<<kbrni.second<<"}";cout<<endl

using namespace std;

typedef pair<int,int> P;
typedef pair<ll,ll> pll;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef vector<ll> vl;
typedef vector<vl> vvl;
typedef vector<double> vd;
typedef vector<P> vp;
typedef vector<string> vs;

const int MAX_N = 10005;

struct edge
{
    int to,cost;
};

vector<edge> G[MAX_N];
bool ok[MAX_N];
int sub[MAX_N];
int n,t,k;

void dfs(int u,int p)
{
    sub[u] = 1;
    each(e,G[u]){
        int v = e.to;
        if(p != v){
            dfs(v,u);
            sub[u] += sub[v];
        }
    }
}

vvi redfs(int u,int p)
{
    vvi dp(2,vi(2,INF));
    int mx = 1;
    if(ok[u]){
        dp[1][1] = 0;
    }else{
        dp[0][1] = 0;
    }
    sort(all(G[u]),[&](edge& a,edge& b){
        return (b.to==p)?true:sub[a.to]<sub[b.to];
    });
    each(e,G[u]){
        cmn(mx,k+1);
        int v = e.to, c = e.cost;
        if(p != v){
            vvi res = redfs(v,u);
            vvi dp2(2,vi(mx+len(res[0]),INF));
            srep(i,1,mx+1){
                srep(j,1,len(res[0])){
                    if(ok[u]){
                        cmn(dp2[1][i+j-1],dp[1][i]+res[0][j]);
                        cmn(dp2[1][i+j-1],dp[1][i]+res[1][j]);
                        cmn(dp2[1][i+j],dp[1][i]+res[1][j]+c);
                    }else{
                        cmn(dp2[0][i+j-1],dp[0][i]+res[0][j]);
                        cmn(dp2[0][i+j],dp[0][i]+res[1][j]+c);
                        cmn(dp2[1][i+j-1],dp[0][i]+res[1][j]);
                        cmn(dp2[1][i+j-1],dp[1][i]+res[0][j]);
                        cmn(dp2[1][i+j-1],dp[1][i]+res[1][j]);
                        cmn(dp2[1][i+j],dp[1][i]+res[1][j]+c);
                    }
                }
            }
            mx += len(res[0]) - 1;
            dp[0].resize(mx+1),dp[1].resize(mx+1);
            rep(i,2){
                rep(j,mx+1){
                    dp[i][j] = dp2[i][j];
                }
            }
        }
    }
    return dp;
}

int main()
{
    cin.tie(0);
    ios::sync_with_stdio(false);
    int id = 0;
    while(1){
        cin >> n >> t >> k;
        if(n == 0){
            break;
        }
        rep(i,n){
            G[i].clear(),ok[i] = false;
        }
        rep(i,n-1){
            int a,b,c;
            cin >> a >> b >> c;
            G[a-1].pb((edge){b-1,c}),G[b-1].pb((edge){a-1,c});
        }
        rep(i,t){
            int a;
            cin >> a;
            --a;
            ok[a] = true;
        }
        if(k == 0){
            cout << "Case " << ++id << ": 0" << endl;
            continue;
        }
        dfs(0,-1);
        vvi ans = redfs(0,-1);
        cout << "Case " << ++id << ": " << ans[1][k+1] << endl;
    }
    return 0;
}



Measured memory_bytes: 6816