#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using namespace atcoder; typedef long long ll; typedef long double ld; typedef std::pair pii; typedef std::pair pil; typedef std::pair pli; typedef std::pair pll; typedef std::pair pid; typedef std::pair pis; typedef std::pair pls; typedef std::vector vb; typedef std::vector vvb; typedef std::vector vi; typedef std::vector vvi; typedef std::vector vvvi; typedef std::vector vvvvi; typedef std::vector vl; typedef std::vector vvl; typedef std::vector vvvl; typedef std::vector vvvvl; typedef std::vector vd; typedef std::vector vvd; typedef std::vector vs; #define rep(i,n) for(auto i=0; i=0; --i) #define repdm(i,e,n) for(auto i=n-1; i>=e; --i) #define all(a) (a).begin(), (a).end() #define rall(a) (a).rbegin(), (a).rend() template inline bool chmax(T& a, T b, int eq = 0) { if (a < b || (a == b && eq)) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b, int eq = 0) { if (a > b || (a == b && eq)) { a = b; return 1; } return 0; } template * = nullptr> constexpr istream& operator>>(istream& is, mint& x) noexcept {long long v = 0; std::cin >> v; x = v; return is;} template * = nullptr> constexpr ostream& operator<<(ostream& os, const mint& x) noexcept {os << x.val(); return os;} inline void _n() { std::cout << std::endl; } template inline void _(const T a) { std::cout << a; } template inline void _l(const T a) { _(a); _n(); } template inline void _s(const T a) { _(a); _(' '); } template inline void _v(const std::vector v) { for(auto a : v) _(a); } template inline void _vl(const std::vector v) { for(auto a : v) _l(a); } template inline void _vs(const std::vector v) { for(auto a : v) _s(a); _n(); } template inline void _vvl(const std::vector> v) { for(auto a : v) { _v(a); _n(); } } template inline void _vvs(const std::vector> v) { for(auto a : v) { _vs(a); } } inline void ynl(const bool b) {_l(b ? "yes" : "no");} inline void yns(const bool b) {_l(b ? "Yes" : "No");} inline void ynu(const bool b) {_l(b ? "YES" : "NO");} constexpr int INF = numeric_limits::max() >> 1; constexpr long long INF_LL = numeric_limits::max() >> 1LL; constexpr long long MOD1 = 1000000007; constexpr long long MOD9 = 998244353; using mint1 = atcoder::modint1000000007; using mint9 = atcoder::modint998244353; //* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ *// void solve() { int N, M; cin >> N >> M; vi A(M+1), B(M+1), C(M+1); rep(i, M) {cin >> A[i] >> B[i] >> C[i]; A[i]--; B[i]--;} A[M] = B[M] = C[M] = 0; vi T(N); rep(i, N) cin >> T[i]; vvi G(N, vi()); rep(i, M+1) { G[A[i]].push_back(i); G[B[i]].push_back(i); } struct edge {int idx, from, to; ll cost, power;}; auto compare = [&] (edge a, edge b) -> bool { if(a.cost != b.cost) return a.cost > b.cost; else return false; }; priority_queue, function> que(compare); vvl dist(N, vl(1002, INF_LL)); dist[0][0] = 0; que.push({M, 0, 0, 0, 0}); while(!que.empty()) { edge qf = que.top(); que.pop(); int v = qf.to; int p = (int)min(qf.power, 1001ll); if(dist[v][p] < qf.cost) continue; for (int idx : G[v]) { int from = A[idx]; int to = B[idx]; if(from == to) continue; if(v == to) swap(from, to); ll next_power = min(qf.power + T[from], 1001ll); ll next_cost = dist[v][p] + T[from] + C[idx] / next_power; if(dist[to][next_power] <= next_cost) continue; dist[to][next_power] = next_cost; que.push({idx, from, to, next_cost, next_power}); } } ll ans = INF_LL; rep(i, 1001) chmin(ans, dist[N-1][i]); _l(ans); } //* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ *// int main() { std::ifstream in("input.txt"); std::cin.rdbuf(in.rdbuf()); std::cin.tie(0); std::cout.tie(0); std::ios::sync_with_stdio(false); solve(); return 0; }