#include #include using namespace std; using namespace atcoder; #define rep(i,n)for (int i = 0; i < int(n); ++i) #define rrep(i,n)for (int i = int(n)-1; i >= 0; --i) #define all(x) (x).begin(), (x).end() #define rall(x) (x).rbegin(), (x).rend() template void chmax(T& a, const T& b) {a = max(a, b);} template void chmin(T& a, const T& b) {a = min(a, b);} using ll = long long; using P = pair; using VI = vector; using VVI = vector; using VL = vector; using VVL = vector; const unsigned long long INF = 1002003004005006007; template std::vector dijkstra(std::vector>>& to, int s=0) { struct QueElem { int v; unsigned long long c; bool operator<(const QueElem a) const {return c > a.c;} QueElem(int v, unsigned long long c): v(v), c(c) {} }; std::priority_queue q; std::vector dist(to.size(), INF); dist[s] = 0; q.emplace(s, 0); while(!q.empty()) { QueElem qe = q.top(); q.pop(); int u = qe.v; unsigned long long c = qe.c; if (c > dist[u]) continue; for(auto vc: to[u]) { int v = vc.first; unsigned long long nc = c + vc.second; if (nc < dist[v]) { dist[v] = nc; q.emplace(v, nc); } } } return dist; } constexpr int M = 5500; int main() { ios::sync_with_stdio(false); cin.tie(0); int n, m; cin >> n >> m; vector> es(m); rep(i, m) { int a, b, c; cin >> a >> b >> c, --a, --b; es[i] = {a, b, c}; } VI t(n); rep(i, n) cin >> t[i]; vector> to(M * n); for(auto [a, b, c]: es) { if (a != n - 1) for(int p = 0; p < M; p++) { int np = p + t[a]; if (np >= M) break; if (np == 0) continue; to[a * M + p].emplace_back(b * M + np, c / np + t[a]); } if (b != n - 1) for(int p = 0; p < M; p++) { int np = p + t[b]; if (np >= M) break; if (np == 0) continue; to[b * M + p].emplace_back(a * M + np, c / np + t[b]); } } auto dist = dijkstra(to); unsigned long long ans = INF; rep(p, M) chmin(ans, dist[M * (n - 1) + p]); cout << ans << '\n'; }