/** * @FileName a.cpp * @Author kanpurin * @Created 2021.03.31 23:22:59 **/ #include "bits/stdc++.h" using namespace std; typedef long long ll; template struct Dijkstra { private: int V; vector P; struct edge { int to; T cost; }; vector> G; public: const T inf = numeric_limits::max(); vector> d; Dijkstra() {} Dijkstra(int V) : V(V) { G.resize(V); P.resize(V); } Dijkstra& operator=(const Dijkstra& obj) { this->V = obj.V; this->G = obj.G; this->d = obj.d; return *this; } void add_edge(int from, int to, T weight, bool directed = false) { G[from].push_back({to,weight}); if (!directed) G[to].push_back({from,weight}); } int add_vertex() { G.push_back(vector()); return V++; } void set_vertex(int v, int p) { P[v] = p; } void build(int s) { d.assign(V, vector(1002,INT_FAST16_MAX)); typedef tuple Q; priority_queue, greater> pq; d[s][0] = 0; pq.push(Q(d[s][0], s, 0)); while (!pq.empty()) { Q p = pq.top(); pq.pop(); int v = get<1>(p); int q = get<2>(p); if (d[v][q] < get<0>(p)) continue; for (const edge &e : G[v]) { if (d[e.to][min(1001,q+P[v])] > d[v][q] + e.cost/(q+P[v]) + P[v]) { d[e.to][min(1001,q+P[v])] = d[v][q] + e.cost/(q+P[v]) + P[v]; pq.push(Q(d[e.to][min(1001,q+P[v])], e.to, min(1001,q+P[v]))); } } } } }; int main() { int n,m;cin >> n >> m; Dijkstra g(n); for (int i = 0; i < m; i++) { int a,b,c;cin >> a >> b >> c; a--;b--; g.add_edge(a,b,c); } for (int i = 0; i < n; i++) { int t;cin >> t; g.set_vertex(i,t); } g.build(0); ll ans = g.inf; for (int i = 0; i < g.d[n-1].size(); i++) { ans = min(ans,g.d[n-1][i]); } cout << ans << endl; return 0; }