#include<bits/stdc++.h>
#include<atcoder/all>
using namespace std;
using namespace atcoder;
typedef long long int ll;
typedef long double ld;
typedef vector<int> vi;
typedef vector<ll> vl;
typedef vector<vl> vvl;
typedef vector<vvl> vvvl;
typedef vector<vvvl> vvvvl;
typedef vector<bool> vb;
typedef vector<vb> vvb;
typedef vector<vvb> vvvb;
typedef vector<vvvb> vvvvb;
typedef pair<ll,ll> pl;
typedef pair<ll,pl> ppl;
typedef pair<ll,ppl> pppl;
typedef pair<ll,pppl> pppppl;
#define rep(i,a,b) for(int i=(a);i<(b);i++)
#define rrep(i,a,b) for(int i=(b)-1;i>=(a);i--)
#define all(a) begin(a),end(a)
#define sz(a) (int)(a).size()
#define F first
#define S second
#define bs(A,x) binary_search(all(A),x)
#define lb(A,x) (ll)(lower_bound(all(A),x)-A.begin())
#define ub(A,x) (ll)(upper_bound(all(A),x)-A.begin())
#define cou(A,x) (ll)(upper_bound(all(A),x)-lower_bound(all(A),x))
template<typename T>using min_priority_queue=priority_queue<T,vector<T>,greater<T>>;
template<class T>bool chmax(T&a,T b){if(a<b){a=b;return 1;}return 0;}
template<class T>bool chmin(T&a,T b){if(b<a){a=b;return 1;}return 0;}
//*
using mint=modint998244353;
const ll mod=998244353;
//*/
/*
using mint=modint1000000007;
const ll mod=1000000007;
//*/
//using mint=modint;
//*
typedef vector<mint> vm;
typedef vector<vm> vvm;
typedef vector<vvm> vvvm;
typedef vector<vvvm> vvvvm;
ostream&operator<<(ostream&os,mint a){os<<a.val();return os;}
istream&operator>>(istream&is,mint&a){int x;is>>x;a=mint(x);return is;}
//*/
template<typename T1,typename T2>ostream&operator<<(ostream&os,pair<T1,T2>p){os<<p.F<<" "<<p.S;return os;}
template<typename T1,typename T2>istream&operator>>(istream&is,pair<T1,T2>&p){is>>p.F>>p.S;return is;}
template<typename T>ostream&operator<<(ostream&os,vector<T>v){rep(i,0,sz(v))os<<v[i]<<(i+1!=sz(v)?" ":"");return os;}
template<typename T>istream&operator>>(istream&is,vector<T>&v){for(T&in:v)is>>in;return is;}
int main(){
  cin.tie(0)->sync_with_stdio(0);
  cin.exceptions(cin.failbit);
  ll N,M;cin>>N>>M;
  vector<vector<pl>>E(N);
  rep(i,0,M){
  	ll u,v,w;cin>>u>>v>>w;u--;v--;
  	E[u].emplace_back(v,w);
  	E[v].emplace_back(u,w);
  }
  vl A(N),B(N),C(N);
  cin>>A>>B>>C;
  vvl D(N,vl(100,1e18));
  D[0][1]=A[0];
  min_priority_queue<ppl>Q;
  Q.emplace(A[0],pl(0,1));
  ll ans=1e18;
  while(sz(Q)){
  	auto[d,p]=Q.top();Q.pop();
  	auto[v,k]=p;
  	if(d!=D[v][k])continue;
  	assert(d%A[v]==0);
  	if(!k){
  	  if(chmin(D[v][1],d+A[v]))Q.emplace(d+A[v],pl(v,1));
  	  d+=C[v];
  	}
  	for(auto[u,w]:E[v]){
  	  if(u==N-1)chmin(ans,d+w);
  	  ll t=(d+w+A[u]-1)/A[u]*A[u];
  	  if(chmin(D[u][t/A[u]%B[u]],t))Q.emplace(t,pl(u,t/A[u]%B[u]));
  	}
  }
  cout<<ans<<endl;
  return 0;
}