/* #region header */ #ifdef LOCAL #include "cxx-prettyprint-master/prettyprint.hpp" #define debug(x) cout << x << endl #else #define debug(...) 42 #endif #pragma GCC optimize("Ofast") #include using namespace std; // types using ll = long long; using ull = unsigned long long; using ld = long double; typedef pair Pl; typedef pair Pi; typedef vector vl; typedef vector vi; typedef vector vc; template using mat = vector>; typedef vector> vvi; typedef vector> vvl; typedef vector> vvc; template struct modint { int x; modint() : x(0) {} modint(int64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {} modint& operator+=(const modint& p) { if ((x += p.x) >= mod) x -= mod; return *this; } modint& operator-=(const modint& p) { if ((x += mod - p.x) >= mod) x -= mod; return *this; } modint& operator*=(const modint& p) { x = (int)(1LL * x * p.x % mod); return *this; } modint& operator/=(const modint& p) { *this *= p.inverse(); return *this; } modint operator-() const { return modint(-x); } modint operator+(const modint& p) const { return modint(*this) += p; } modint operator-(const modint& p) const { return modint(*this) -= p; } modint operator*(const modint& p) const { return modint(*this) *= p; } modint operator/(const modint& p) const { return modint(*this) /= p; } bool operator==(const modint& p) const { return x == p.x; } bool operator!=(const modint& p) const { return x != p.x; } modint inverse() const { int a = x, b = mod, u = 1, v = 0, t; while (b > 0) { t = a / b; swap(a -= t * b, b); swap(u -= t * v, v); } return modint(u); } modint pow(int64_t n) const { modint ret(1), mul(x); while (n > 0) { if (n & 1) ret *= mul; mul *= mul; n >>= 1; } return ret; } friend ostream& operator<<(ostream& os, const modint& p) { return os << p.x; } friend istream& operator>>(istream& is, modint& a) { int64_t t; is >> t; a = modint(t); return (is); } static int get_mod() { return mod; } }; // abreviations #define all(x) (x).begin(), (x).end() #define rall(x) (x).rbegin(), (x).rend() #define rep_(i, a_, b_, a, b, ...) for (ll i = (a), max_i = (b); i < max_i; i++) #define rep(i, ...) rep_(i, __VA_ARGS__, __VA_ARGS__, 0, __VA_ARGS__) #define rrep_(i, a_, b_, a, b, ...) \ for (ll i = (b - 1), min_i = (a); i >= min_i; i--) #define rrep(i, ...) rrep_(i, __VA_ARGS__, __VA_ARGS__, 0, __VA_ARGS__) #define srep(i, a, b, c) for (ll i = (a), max_i = (b); i < max_i; i += c) #define SZ(x) ((int)(x).size()) #define pb(x) push_back(x) #define eb(x) emplace_back(x) #define mp make_pair //入出力 #define print(x) cout << x << endl template ostream& operator<<(ostream& os, const vector& v) { for (auto& e : v) cout << e << " "; cout << endl; return os; } void scan(int& a) { cin >> a; } void scan(long long& a) { cin >> a; } void scan(char& a) { cin >> a; } void scan(double& a) { cin >> a; } void scan(string& a) { cin >> a; } template void scan(vector& a) { for (auto& i : a) scan(i); } #define vsum(x) accumulate(all(x), 0LL) #define vmax(a) *max_element(all(a)) #define vmin(a) *min_element(all(a)) #define lb(c, x) distance((c).begin(), lower_bound(all(c), (x))) #define ub(c, x) distance((c).begin(), upper_bound(all(c), (x))) // functions // gcd(0, x) fails. ll gcd(ll a, ll b) { return b ? gcd(b, a % b) : a; } ll lcm(ll a, ll b) { return a / gcd(a, b) * b; } template bool chmax(T& a, const T& b) { if (a < b) { a = b; return 1; } return 0; } template bool chmin(T& a, const T& b) { if (b < a) { a = b; return 1; } return 0; } template T mypow(T x, ll n) { T ret = 1; while (n > 0) { if (n & 1) (ret *= x); (x *= x); n >>= 1; } return ret; } ll modpow(ll x, ll n, const ll mod) { ll ret = 1; while (n > 0) { if (n & 1) (ret *= x); (x *= x); n >>= 1; x %= mod; ret %= mod; } return ret; } uint64_t my_rand(void) { static uint64_t x = 88172645463325252ULL; x = x ^ (x << 13); x = x ^ (x >> 7); return x = x ^ (x << 17); } int popcnt(ull x) { return __builtin_popcountll(x); } template struct Edge { int from, to; T cost; int idx; Edge() = default; Edge(int from, int to, T cost = 1, int idx = -1) : from(from), to(to), cost(cost), idx(idx) {} operator int() const { return to; } }; template struct Graph { vector>> g; int es; Graph() = default; explicit Graph(int n) : g(n), es(0) {} size_t size() const { return g.size(); } void add_directed_edge(int from, int to, T cost = 1) { g[from].emplace_back(from, to, cost, es++); } void add_edge(int from, int to, T cost = 1) { g[from].emplace_back(from, to, cost, es); g[to].emplace_back(to, from, cost, es++); } void read(int M, int padding = -1, bool weighted = false, bool directed = false) { for (int i = 0; i < M; i++) { int a, b; cin >> a >> b; a += padding; b += padding; T c = T(1); if (weighted) cin >> c; if (directed) add_directed_edge(a, b, c, i); else add_edge(a, b, c); } } }; struct Timer { clock_t start_time; void start() { start_time = clock(); } int lap() { // return x ms. return (clock() - start_time) * 1000 / CLOCKS_PER_SEC; } }; /* #endregion*/ // constant #define inf 1000000000ll #define INF 4000000004000000000LL #define mod 998244353ll using mint = modint; typedef vector vmint; typedef vector> vvmint; #define endl '\n' const long double eps = 0.000000000000001; const long double PI = 3.141592653589793; template vector dijkstra(Graph& g, int s) { const auto TINF = numeric_limits::max(); vector dist(g.size(), TINF); using Pi = pair; priority_queue, greater> que; dist[s] = 0; que.emplace(dist[s], s); while (!que.empty()) { T cost; int idx; tie(cost, idx) = que.top(); que.pop(); if (dist[idx] < cost) continue; for (auto& e : g.g[idx]) { auto next_cost = cost + e.cost; if (dist[e.to] <= next_cost) continue; dist[e.to] = next_cost; que.emplace(dist[e.to], e.to); } } return dist; } int main() { cin.tie(0); ios::sync_with_stdio(0); cout << setprecision(30) << fixed; int n, m; cin >> n >> m; Graph g(n); vl d(n); rep(i, m) { ll u, v, c; cin >> u >> v >> c >> d[i]; u--; v--; g.add_edge(u, v, c); } auto dist = dijkstra(g, 0); int now = n - 1; while (now != 0) { for (auto& e : g.g[now]) { if (dist[e.to] + e.cost == dist[now]) { e.cost = d[e.idx]; now = e.to; break; } } } auto dist1 = dijkstra(g, n - 1); print(dist[n - 1] + dist1[0]); }