#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);} // thanks for Luzhiled-san's website // https://ei1333.github.io/luzhiled/snippets/structure/convex-hull-trick-add-monotone.html template< typename T, bool isMin > struct ConvexHullTrickAddMonotone { #define F first #define S second using P = pair< T, T >; deque< P > H; ConvexHullTrickAddMonotone() = default; bool empty() const { return H.empty(); } void clear() { H.clear(); } inline int sgn(T x) { return x == 0 ? 0 : (x < 0 ? -1 : 1); } using D = long double; inline bool check(const P &a, const P &b, const P &c) { if(b.S == a.S || c.S == b.S) return sgn(b.F - a.F) * sgn(c.S - b.S) >= sgn(c.F - b.F) * sgn(b.S - a.S); //return (b.F-a.F)*(c.S-b.S) >= (b.S-a.S)*(c.F-b.F); return D(b.F - a.F) * sgn(c.S - b.S) / D(abs(b.S - a.S)) >= D(c.F - b.F) * sgn(b.S - a.S) / D(abs(c.S - b.S)); } void add(T a, T b) { if(!isMin) a *= -1, b *= -1; P line(a, b); if(empty()) { H.emplace_front(line); return; } if(H.front().F <= a) { if(H.front().F == a) { if(H.front().S <= b) return; H.pop_front(); } while(H.size() >= 2 && check(line, H.front(), H[1])) H.pop_front(); H.emplace_front(line); } else { assert(a <= H.back().F); if(H.back().F == a) { if(H.back().S <= b) return; H.pop_back(); } while(H.size() >= 2 && check(H[H.size() - 2], H.back(), line)) H.pop_back(); H.emplace_back(line); } } inline T get_y(const P &a, const T &x) { return a.F * x + a.S; } T query_monotone_inc(T x) { assert(!empty()); while(H.size() >= 2 && get_y(H.front(), x) >= get_y(H[1], x)) H.pop_front(); if(isMin) return get_y(H.front(), x); return -get_y(H.front(), x); } #undef F #undef S }; 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); } cout << graph.get_dist(0, n - 1) << "\n"; return 0; }