#pragma GCC optimize("O3") #include<bits/stdc++.h> using namespace std; using ll=long long; using P=pair<ll,ll>; template<class T> using V=vector<T>; #define fi first #define se second #define all(v) (v).begin(),(v).end() const ll inf=(1e18); //const ll mod=998244353; const ll mod=1000000007; const vector<int> dy={-1,0,1,0},dx={0,-1,0,1}; ll GCD(ll a,ll b) {return b ? GCD(b,a%b):a;} ll LCM(ll c,ll d){return c/GCD(c,d)*d;} //struct __INIT{__INIT(){cin.tie(0);ios::sync_with_stdio(false);cout<<fixed<<setprecision(20);}} __init; template<class T> bool chmax(T &a, const T &b) { if (a<b) { a=b; return 1; } return 0; } template<class T> bool chmin(T &a, const T &b) { if (a>b) { a=b; return 1; } return 0; } template<class T>void debag(const vector<T> &a){cerr<<"debag :";for(auto v:a)cerr<<v<<" ";cerr<<"\n";} template<class T>void print(const vector<T> &a){for(auto v:a)cout<<v<<" ";cout<<"\n";} struct edge{ int to; ll cost; edge(int to,ll cost):to(to),cost(cost){} }; const ll ma=1005; using pp=pair<ll,P>; int main(){ int n,m; cin>>n>>m; V<V<edge>> g(n); for(int i=0;i<m;i++){ ll a,b,c; cin>>a>>b>>c; --a;--b; g[a].emplace_back(b,c); g[b].emplace_back(a,c); } V<ll> t(n); for(int i=0;i<n;i++)cin>>t[i]; V<V<ll>> dp(n+5,V<ll>(1010,inf)); dp[0][0]=0; priority_queue<pp,V<pp>,greater<pp>> pq; pq.emplace(0,P(0,0)); while(pq.size()){ ll res=pq.top().fi,tim=pq.top().se.se; int cur=pq.top().se.fi; pq.pop(); if(cur==n-1){ cout<<res<<"\n"; return 0; } if(res>dp[cur][tim])continue; tim+=t[cur]; res+=t[cur]; chmin(tim,ma); for(edge &e:g[cur]){ if(chmin(dp[e.to][tim],res+e.cost/tim)){ pq.emplace(dp[e.to][tim],P(e.to,tim)); } } } }