#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 sar(a,n) {cout<<#a<<":";rep(pachico,n)cout<<" "<<a[pachico];cout<<endl;}
#define int long long

using namespace std;

template<typename S,typename T>auto&operator<<(ostream&o,pair<S,T>p){return o<<"{"<<p.fi<<","<<p.se<<"}";}
template<typename T>auto&operator<<(ostream&o,set<T>s){for(auto&e:s)o<<e<<" ";return o;}
template<typename S,typename T,typename U>
auto&operator<<(ostream&o,priority_queue<S,T,U>q){while(!q.empty())o<<q.top()<<" ",q.pop();return o;}
template<typename K,typename T>auto&operator<<(ostream&o,map<K,T>&m){for(auto&e:m)o<<e<<" ";return o;}
template<typename T>auto&operator<<(ostream&o,vector<T>v){for(auto&e:v)o<<e<<" ";return o;}
void ashow(){cout<<endl;}template<typename T,typename...A>void ashow(T t,A...a){cout<<t<<" ";ashow(a...);}
template<typename S,typename T,typename U>
struct TRI{S fi;T se;U th;TRI(){}TRI(S f,T s,U t):fi(f),se(s),th(t){}
bool operator<(const TRI&_)const{return(fi==_.fi)?((se==_.se)?(th<_.th):(se<_.se)):(fi<_.fi);}};
template<typename S,typename T,typename U>
auto&operator<<(ostream&o,TRI<S,T,U>&t){return o<<"{"<<t.fi<<","<<t.se<<","<<t.th<<"}";}

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

const int MAX_N = 100005;

ll p[MAX_N], c[MAX_N], J[MAX_N];
int n, m, K;

template<typename T> class Dijkstra {
public:
	struct edge{
		int to; T cost;
	};
	int V;
	vector<vector<edge> > G;
	vector<T> d, D;
    vector<T> ans;
	using pti = pair<T,int>;
	Dijkstra(int node_size) : V(node_size), G(V), d(V, numeric_limits<T>::max()), D(V, numeric_limits<T>::max()), ans(K, (1LL << 60)){}
	//無向グラフの場合
	void add_edge(int u,int v,T cost){
		G[u].pb((edge){v,cost}),G[v].pb((edge){u,cost});
	}
	void solve(int s){
		priority_queue<pti,vector<pti>,greater<pti> > que;
		d[s] = 0;
		que.push(pti(0,s));
		while(!que.empty()){
			pti p = que.top();
			que.pop();
			int v = p.second;
			if(d[v] < p.first) continue;
			for(auto& w : G[v]){
				if(d[w.to] > d[v] + w.cost){
					d[w.to] = d[v] + w.cost;
					que.push(pti(d[w.to],w.to));
				}
			}
		}
	}
    void bue(){
        priority_queue<pti,vector<pti>,greater<pti> > que;
        rep(i,n){
            D[i] = d[i]-p[i];
            que.push(pti(D[i], i));
        }
        while(!que.empty()){
            pti p = que.top();
            que.pop();
            int v = p.second;
            if(d[v] < p.first) continue;
            for(auto& w : G[v]){
                if(D[w.to] > D[v] + w.cost){
                    D[w.to] = D[v] + w.cost;
                    que.push(pti(D[w.to],w.to));
                }
            }
        }
        rep(i,n){
            cmn(ans[c[i]-1], D[i]+d[i]-J[i]);
        }
    }
};

signed main()
{
    cin.tie(0);
    ios::sync_with_stdio(false);
    cin >> n >> m >> K;
    rep(i,n){
        cin >> p[i];
    }
    rep(i,n){
        cin >> c[i];
    }
    rep(i,n){
        cin >> J[i];
    }
    Dijkstra<ll> dj(n);
    rep(i,m){
        int a,b,c;
        cin >> a >> b >> c;
        --a, --b;
        dj.add_edge(a, b, c);
        dj.add_edge(b, a, c);
    }
    dj.solve(0);
    dj.bue();
    rep(i,K){
        cout << -dj.ans[i] << "\n";
    }
    return 0;
}



Measured memory_bytes: 30552