#include using namespace std; #define int ll #define fast_io cin.tie(0)->sync_with_stdio(0); #define endl '\n' typedef long long ll; const int INF = 1e18; struct mincf { using T = pair; struct E { int to, rev, cap, cost;}; int n; vector> g; vector h, d, pv, pe; mincf(int _n): n(_n), g(n), h(n), d(n), pv(n), pe(n) {} void add(int a, int b, int c, int w) { g[a].push_back({b, (int)g[b].size(), c, w}); g[b].push_back({a, (int)g[a].size()-1, 0, -w}); } T go(int s,int t,int f){ priority_queue, greater> q; fill(d.begin(), d.end(), INF); d[s] = 0; q.emplace(0, s); while (q.size()) { auto [a, v] = q.top(); q.pop(); if (d[v] < a) continue; if (v == t) break; for (int i = 0; i < g[v].size(); i++) { E e = g[v][i]; if (e.cap > 0) { int w = d[v]+e.cost+h[v]-h[e.to]; if (w < d[e.to]) { d[e.to] = w; q.emplace(w, e.to); pv[e.to] = v; pe[e.to] = i; } } } } if (d[t] == INF) return T(0, 0); for (int i = 0; i < n; i++) h[i]=min(h[i]+min(d[i],d[t]),INF); int a=f; for (int v=t; v!=s; v=pv[v]) a = min(a, g[pv[v]][pe[v]].cap); for (int v=t; v!=s; v=pv[v]){ E& e = g[pv[v]][pe[v]]; e.cap -= a; g[e.to][e.rev].cap += a; } return T(h[t], a); } T calc(int s,int t,int f){ int a = 0, res = 0; while (f>0) { auto [qt, w] = go(s,t,f); if (w == 0) break; a += w; f -= w; res += qt*w; } return {a, res}; } }; int32_t main() { fast_io; int n, m; cin >> n >> m; mincf g(n); for (int i = 0; i < m; i++) { int u, v, w, t; cin >> u >> v >> w >> t; --u, --v; g.add(u, v, 1, w); g.add(v, u, 1, w); g.add(u, v, 1, t); g.add(v, u, 1, t); } cout << g.calc(0, n - 1, 2).second << endl; }