#include using namespace std; using ll = long long; using ld = long double; using VI = vector; using VL = vector; using VS = vector; template using PQ = priority_queue, greater>; #define FOR(i,a,n) for(int i=(a);i<(n);++i) #define eFOR(i,a,n) for(int i=(a);i<=(n);++i) #define rFOR(i,a,n) for(int i=(n)-1;i>=(a);--i) #define erFOR(i,a,n) for(int i=(n);i>=(a);--i) #define SORT(a) sort(a.begin(),a.end()) #define rSORT(a) sort(a.rbegin(),a.rend()) #define fSORT(a,f) sort(a.begin(),a.end(),f) #define all(a) a.begin(),a.end() #define out(y,x) ((y)<0||h<=(y)||(x)<0||w<=(x)) #define tp(a,i) get(a) #ifdef _DEBUG #define line cout << "-----------------------------\n" #define stop system("pause") #endif constexpr ll INF = 1000000000; constexpr ll LLINF = 1LL << 60; constexpr ll mod = 1000000007; constexpr ll MOD = 998244353; constexpr ld eps = 1e-10; constexpr ld pi = 3.1415926535897932; templateinline bool chmax(T& a, const T& b) { if (a < b) { a = b; return true; }return false; } templateinline bool chmin(T& a, const T& b) { if (a > b) { a = b; return true; }return false; } inline void init() { cin.tie(nullptr); cout.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); } templateinline istream& operator>>(istream& is, vector& v) { for (auto& a : v)is >> a; return is; } templateinline istream& operator>>(istream& is, pair& p) { is >> p.first >> p.second; return is; } templateinline vector vec(size_t a) { return vector(a); } templateinline vector defvec(T def, size_t a) { return vector(a, def); } templateinline auto vec(size_t a, Ts... ts) { return vector(ts...))>(a, vec(ts...)); } templateinline auto defvec(T def, size_t a, Ts... ts) { return vector(def, ts...))>(a, defvec(def, ts...)); } templateinline void print(const T& a) { cout << a << "\n"; } templateinline void print(const T& a, const Ts&... ts) { cout << a << " "; print(ts...); } templateinline void print(const vector& v) { for (int i = 0; i < v.size(); ++i)cout << v[i] << (i == v.size() - 1 ? "\n" : " "); } templateinline void print(const vector>& v) { for (auto& a : v)print(a); } inline string reversed(const string& s) { string t = s; reverse(all(t)); return t; } templateinline T sum(const vector& a, int l, int r) { return a[r] - (l == 0 ? 0 : a[l - 1]); } templateinline void END(T s) { print(s); exit(0); } void END() { exit(0); } int main() { init(); int n, m; cin >> n >> m; vector>> g(n); vector> cd(m); FOR(i, 0, m) { int u, v; cin >> u >> v >> cd[i].first >> cd[i].second; --u, --v; g[u].emplace_back(v, i); g[v].emplace_back(u, i); } VL dp(n, LLINF); dp[0] = 0; vector> pre(n, { -1,-1 }); //前の頂点、使った辺番号 PQ> dik; dik.emplace(0, 0); while (!dik.empty()) { ll d; int cur; tie(d, cur) = dik.top(); dik.pop(); if (dp[cur] < d)continue; for (auto [to, num] : g[cur]) { ll cost = cd[num].first; if (!chmin(dp[to], d + cost))continue; dik.emplace(d + cost, to); pre[to] = { cur,num }; } } ll s = dp[n - 1]; for (int cur = n - 1; cur != 0;) { auto [to, num] = pre[cur]; cur = to; cd[num].first = cd[num].second; } VL(n, LLINF).swap(dp); dp[n - 1] = 0; dik.emplace(0, n - 1); while (!dik.empty()) { ll d; int cur; tie(d, cur) = dik.top(); dik.pop(); if (dp[cur] < d)continue; for (auto [to, num] : g[cur]) { ll cost = cd[num].first; if (!chmin(dp[to], d + cost))continue; dik.emplace(d + cost, to); pre[to] = { cur,num }; } } print(s + dp[0]); return 0; }