#include using namespace std; #ifdef LOCAL_ void debug_out() {cerr << endl;} template void debug_out(Head H,Tail... T){cerr << ' ' << H; debug_out(T...);} #define debug(...) cerr << 'L' << __LINE__ << " [" << #__VA_ARGS__ << "]:",debug_out(__VA_ARGS__) #define dump(x) cerr << 'L' << __LINE__ << " " << #x << " = " << (x) << endl; #else #define debug(...) (void(0)) #define dump(x) (void(0)) #endif #define rep(i,n) for (int i = 0; i < (int)(n); i ++) #define irep(i,n) for (int i = (int)(n) - 1;i >= 0;--i) using ll = long long; using PL = pair; using P = pair; constexpr int INF = 1000000000; constexpr long long HINF = 100000'00000'00000; constexpr long long MOD = 1000000007;// = 998244353; constexpr double EPS = 1e-4; constexpr double PI = 3.14159265358979; #pragma region Macros template ostream &operator<<(ostream &os,const pair &p) { os << '(' << p.first << ',' << p.second << ')'; return os; } template ostream &operator<<(ostream &os,const vector &v) { os << '['; for (auto &e:v) {os << e << ',';} os << ']'; return os; } // grid searh const int dy[8] = {-1,0,1,0,-1,-1,1,1}; const int dx[8] = {0,1,0,-1,-1,1,-1,1}; bool IN(int y,int x,int H,int W) {return (0 <= y)&&(y < H)&&(0 <= x)&&(x < W);} #pragma endregion int main() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(20); int N,M; cin >> N >> M; vector> G(N); vector C(M),D(M),used(M,-1); rep(i,M) { int a,b,c,d; cin >> a >> b >> c >> d; --a; --b; G[a].emplace_back(b,i); G[b].emplace_back(a,i); C[i] = c; D[i] = d; } vector dist(N,HINF); vector before(N,-1); dist[0] = 0; priority_queue,greater> q; q.push({0,0}); while (!q.empty()) { PL p = q.top(); q.pop(); ll d = p.first; int v = p.second; if (dist[v] < d) continue; for (PL p: G[v]) { int e = p.first; ll cost = C[p.second]; if (dist[e] > dist[v] + cost) { dist[e] = dist[v] + cost; before[e] = v; q.push({dist[e],e}); } } } int v = N-1; while (v > 0) { for (P p:G[v]) { if (p.first == before[v]) { used[p.second] = 1; break; } } v = before[v]; } vector dist2(N,HINF); dist2[N-1] = 0; q.push({0,N-1}); while (!q.empty()) { PL p = q.top(); q.pop(); ll d = p.first; int v = p.second; if (dist2[v] < d) continue; for (PL p: G[v]) { int e = p.first; ll cost; if (used[p.second] >= 0) cost = D[p.second]; else cost = C[p.second]; if (dist2[e] > dist2[v] + cost) { dist2[e] = dist2[v] + cost; q.push({dist2[e],e}); } } } cout << dist[N-1] + dist2[0] << '\n'; return 0; }