#include #include #define rep(i,n) for(int i=0;i vi; typedef vector vl; typedef vector> vvi; typedef vector> vvl; typedef long double ld; typedef pair P; ostream& operator<<(ostream& os, const modint& a) {os << a.val(); return os;} template ostream& operator<<(ostream& os, const static_modint& a) {os << a.val(); return os;} template ostream& operator<<(ostream& os, const dynamic_modint& a) {os << a.val(); return os;} template istream& operator>>(istream& is, vector& v){int n = v.size(); assert(n > 0); rep(i, n) is >> v[i]; return is;} template ostream& operator<<(ostream& os, const pair& p){os << p.first << ' ' << p.second; return os;} template ostream& operator<<(ostream& os, const vector& v){int n = v.size(); rep(i, n) os << v[i] << (i == n - 1 ? "\n" : " "); return os;} template ostream& operator<<(ostream& os, const vector>& v){int n = v.size(); rep(i, n) os << v[i] << (i == n - 1 ? "\n" : ""); return os;} template void chmin(T& a, T b){a = min(a, b);} template void chmax(T& a, T b){a = max(a, b);} 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; assert(1 <= n && n <= 200000); assert(0 <= m && m <= 200000); vector w(n); for(int i = 0; i < n; i++) cin >> w[i]; for(int i = 0; i < n; i++) assert(1 <= w[i] && w[i] <= 1000000000); set> set_for_assert; Dijkstra graph(2 * n); for(int i = 0; i < m; i++){ int u, v; long long t; cin >> u >> v >> t; if(cin.fail()) assert(false); assert(1 <= u && u < v && v <= n); assert(1 <= t && t <= 1000000000000); if(set_for_assert.find(make_pair(u, v)) != set_for_assert.end()) assert(false); set_for_assert.insert(make_pair(u, v)); u--; v--; graph.add_edge(u, v, t); graph.add_edge(v, u, t); graph.add_edge(n + u, n + v, t); graph.add_edge(n + v, n + u, t); } for(int i = 0; i < n; i++) for(int j = 0; j < n; j++){ if(i == j) continue; graph.add_edge(i, n + j, w[i] * w[j]); } long long ans1 = graph.get_dist(0, n - 1); long long ans2 = graph.get_dist(0, 2 * n - 1); cout << min(ans1, ans2) << "\n"; return 0; }