#include <iostream>
#include <random>
#include <chrono>
#include <iomanip>
#include <set>
#include <map>
#include <queue>
#include <deque>
#include <string>
#include <stack>
#include <ranges>
#include <algorithm>
#include <vector>
using namespace std;
using ll=long long;

#include <atcoder/all>
using mint=atcoder::modint998244353;

ostream& operator<<(ostream& os,const mint& x){
	os<<x.val();
	return os;
}
istream& operator>>(istream& is,mint& x){
	int t;
	is>>t;
	x=t;
	return is;
}

template <typename S,typename T>
ostream& operator<<(ostream& os,const pair<S,T>& p);
template <typename S,typename T>
istream& operator>>(istream& is,pair<S,T>& p);
template <typename T,size_t n>
ostream& operator<<(ostream& os,const array<T,n>& arr);
template <typename T,size_t n>
istream& operator>>(istream& is,array<T,n>& arr);
template <typename T>
ostream& operator<<(ostream& os,const vector<T>& vec);
template <typename T>
istream& operator>>(istream& is,vector<T>& vec);

template <typename S,typename T>
ostream& operator<<(ostream& os,const pair<S,T>& p){
	os<<p.first<<" "<<p.second;
	return os;
}
template <typename S,typename T>
istream& operator>>(istream& is,pair<S,T>& p){
	is>>p.first>>p.second;
	return is;
}

template <typename T,size_t n>
ostream& operator<<(ostream& os,const array<T,n>& arr){
	for(int i=0;i<n;i++)os<<arr[i]<<(i+1==n?"":" ");
	return os;
}
template <typename T,size_t n>
istream& operator>>(istream& is,array<T,n>& arr){
	for(int i=0;i<n;i++)is>>arr[i];
	return is;
}
template <typename T>
ostream& operator<<(ostream& os,const vector<T>& vec){
	for(int i=0;i<(int)vec.size();i++)os<<vec[i]<<(i+1==(int)vec.size()?"":" ");
	return os;
}
template <typename T>
istream& operator>>(istream& is,vector<T>& vec){
	for(int i=0;i<(int)vec.size();i++)is>>vec[i];
	return is;
}

template<class... Vecs>
void input_vec(Vecs&... vs) {
    const auto n = get<0>(tie(vs...)).size();

    for (size_t i = 0; i < n; ++i)
        ((cin >> vs[i]), ...);
}

template <class... Vecs>
void output_vec(const Vecs&... vs) {
    const auto n = get<0>(tie(vs...)).size();

    for (size_t i = 0; i < n; ++i) {
        bool first = true;
        (((cout << (exchange(first, false) ? "" : " ") << vs[i])), ...);
        cout << endl;
    }
}

template <typename T>
vector<T> make_unique(vector<T> vec){
	ranges::sort(vec);
	vec.erase(unique(vec.begin(),vec.end()),vec.end());
	return vec;
}

template <typename T, typename Comp = ranges::less, typename Proj = identity>
pair<vector<int>,vector<int>> make_rank(const vector<T>& vec, Comp comp = {}, Proj proj = {}) {
    int n = vec.size();
    vector<int> argsort(n);
    iota(argsort.begin(), argsort.end(), 0);

    ranges::stable_sort(argsort, comp, [&](int i) -> decltype(auto) {
        return invoke(proj, vec[i]);
    });

	vector<int> rank(n);
	for(int i=0;i<n;i++)rank[argsort[i]]=i;
    return make_pair(rank,argsort);
}

void YESNO(bool f){
	if(f)cout<<"Yes"<<endl;
	else cout<<"No"<<endl;
}

using vl=vector<ll>;
using vvl=vector<vector<ll>>;
using vvvl=vector<vector<vector<ll>>>; 
using vi=vector<int>;
using vvi=vector<vector<int>>;
using vvvi=vector<vector<vector<int>>>;

vector<ll> dijkstra(vector<vector<pair<ll,int>>> graph,vl a,vl b,vl c,int s=0){
	ll inf=1e18;
	int n=graph.size();
	vector<ll> dist(n,inf);
	dist[s]=0;
	priority_queue<pair<ll,int>> pq;
	pq.push(make_pair(0,s));
	while(!pq.empty()){
		auto[d,x]=pq.top();
		d=-d;
		pq.pop();
		if(d!=dist[x])continue;
		for(auto[w,y]:graph[x]){
			ll nxt=(d+a[x]-1)/a[x]*a[x];
			if(nxt==0)nxt=a[x];
			if((nxt/a[x])%b[x]==0)nxt=min(nxt+c[x],nxt+a[x]);
			if(nxt+w<dist[y]){
				dist[y]=nxt+w;
				pq.push(make_pair(-(nxt+w),y));
			}
		}
	}
	for(int i=0;i<n;i++)if(dist[i]==inf)dist[i]=-1;
	return dist;
}

int main(){
	cin.tie(nullptr);
	ios::sync_with_stdio(false);
	cout<<fixed<<setprecision(10);
	int n,m;
	cin>>n>>m;
	using P=pair<ll,int>;
	vector<vector<P>> graph(n);
	for(int i=0;i<m;i++){
		int u,v,w;
		cin>>u>>v>>w;
		u--;v--;
		graph[u].push_back(P{w,v});
		graph[v].push_back(P{w,u});
	}
	vl a(n),b(n),c(n);
	cin>>a>>b>>c;
	auto dist=dijkstra(graph,a,b,c);
	cout<<dist[n-1]<<endl;
}