#include using namespace std; template void chmin(T& a, T b){a = min(a, b);} // https://kopricky.github.io/code/DataStructure_Advanced/dynamic_convex_hull_trick.html template class CHT { private: struct node { node *left, *right; static const T inf = numeric_limits::max(); T a, b; node() : node(0, inf){} node(const T _a, const T _b) : left(nullptr), right(nullptr), a(_a), b(_b){} T f(const T x) const { return a * x + b; } }; static void swap(node *x, node *y){ std::swap(x->a, y->a), std::swap(x->b, y->b); } void _add_line(node *cur, node *nw, T l, T r){ while(true){ if(nw->f(l) < cur->f(l)) swap(cur, nw); if(cur->f(r - 1) <= nw->f(r - 1)) break; const T mid = (l + r) / 2; if(cur->f(mid) <= nw->f(mid)){ if(!cur->right){ cur->right = new node(*nw); break; }else{ cur = cur->right, l = mid; } }else{ swap(cur, nw); if(!cur->left){ cur->left = new node(*nw); break; }else{ cur = cur->left, r = mid; } } } } T query(node *cur, const T k, T l, T r) const { T ans = numeric_limits::max(); while(cur){ ans = min(ans, cur->f(k)); const T mid = (l + r) / 2; if(k < mid){ cur = cur->left, r = mid; }else{ cur = cur->right, l = mid; } } return ans; } void clear(node *cur){ if(cur->left) clear(cur->left); if(cur->right) clear(cur->right); delete cur; } const T lpos, rpos; node *root; public: CHT(const T _lpos, const T _rpos) : lpos(_lpos), rpos(_rpos), root(new node()){ assert(lpos < rpos); } // ~CHT(){ clear(root); } // f(x) = a * x + b を挿入 void add_line(const T a, const T b){ node nw(a, b); return _add_line(root, &nw, lpos, rpos); } // x = k での最小値 T query(const T k) const { return query(root, k, lpos, rpos); } }; const long long INF = 2002002002002002002; using S = long long; S _INF(INF); S _ZERO(0LL); using F = long long; S apply(F f, S x){ return f + x; } template struct Dijkstra{ struct Edge{ int from, to; F cost; Edge(int from, int to, F cost) : from(from), to(to), cost(cost) {}; }; int n, m; vector initialized; vector E; vector> G; map> dist; map> idx; Dijkstra(int _n) : n(_n), m(0), initialized(n, false), G(n){} void add_edge(int from, int to, F cost){ Edge e(from, to, cost); E.push_back(e); G[from].emplace_back(m); m++; } void calc(int s){ initialized[s] = true; dist[s] = vector(n, _INF); idx[s] = vector(n, -1); priority_queue, vector>, greater>> pq; pq.emplace(_ZERO, s, -1); while(pq.size()){ auto [dist_from, from, index] = pq.top(); pq.pop(); if(dist[s][from] <= dist_from) continue; dist[s][from] = dist_from; idx[s][from] = index; for(int index : G[from]){ int to = E[index].to; S dist_to = apply(E[index].cost, dist_from); if(dist[s][to] <= dist_to) continue; pq.emplace(dist_to, to, index); } } } S get_dist(int s, int t){ if(!initialized[s]) calc(s); return dist[s][t]; } }; int main(){ int n, m; cin >> n >> m; vector w(n); for(int i = 0; i < n; i++) cin >> w[i]; Dijkstra graph(n); for(int i = 0; i < m; i++){ int u, v; long long t; cin >> u >> v >> t; u--; v--; graph.add_edge(u, v, t); graph.add_edge(v, u, t); } vector dist_s(n); vector dist_t(n); for(int i = 0; i < n; i++) dist_s[i] = graph.get_dist(0, i); for(int i = 0; i < n; i++) dist_t[i] = graph.get_dist(n - 1, i); long long ans = dist_s[n - 1]; CHT cht(0, 1000000000); vector asc(n); for(int i = 0; i < n; i++) asc[i] = i; for(int i = 0; i < n; i++){ if(dist_t[i] < INF) cht.add_line(w[i], dist_t[i]); } for(int i = 0; i < n; i++){ if(dist_s[i] < INF) chmin(ans, dist_s[i] + cht.query(w[i])); } cout << ans << "\n"; return 0; }