#include #include #include #include #include #include #include #include #include static const int MOD = 1000000007; using ll = long long; using u32 = unsigned; using u64 = unsigned long long; using namespace std; template constexpr T INF = ::numeric_limits::max() / 32 * 15 + 208; template struct PrimalDual { struct edge { int to; F cap; C cost; int rev; edge() = default; edge(int to, F cap, C cost, int rev):to(to), cap(cap), cost(cost), rev(rev) {}; }; vector> G; vector potential, min_cost; vector prevv, preve; explicit PrimalDual(int n) : G(n), potential(n), min_cost(n), prevv(n), preve(n) {} void add_edge(int u, int v, F cap, C cost){ G[u].emplace_back(v, cap, cost, G[v].size()); G[v].emplace_back(u, 0, -cost, G[u].size()-1); } struct P{ C first; int second; P(C first,int second):first(first),second(second){} bool operator<(const P&a) const{return a.first Q; fill(min_cost.begin(),min_cost.end(), INF); min_cost[s] = 0; Q.emplace(0, s); while(!Q.empty()){ P p = Q.top(); Q.pop(); int v = p.second; if(min_cost[v] < p.first) continue; for(int i = 0; i < G[v].size(); ++i){ edge &e=G[v][i]; if(e.cap==0) continue; if(min_cost[v]+e.cost+potential[v]-potential[e.to] < min_cost[e.to]){ min_cost[e.to] = min_cost[v]+e.cost+potential[v]-potential[e.to]; prevv[e.to] = v; preve[e.to] = i; Q.emplace(min_cost[e.to], e.to); } } } } C flow(int s, int t, F fl, int &ok){ C res = 0; fill(potential.begin(),potential.end(), 0); while(fl > 0){ dijkstra(s); if(min_cost[t] == INF){ ok = 0; return res; } for (int i = 0; i < potential.size(); ++i) { if(min_cost[i] < INF) potential[i] += min_cost[i]; } F d = fl; for(int v = t; v != s; v = prevv[v]){ d = min(d, G[prevv[v]][preve[v]].cap); } fl -= d; res += potential[t]*d; for(int v = t; v != s; v = prevv[v]){ G[prevv[v]][preve[v]].cap -= d; G[v][G[prevv[v]][preve[v]].rev].cap += d; } } ok = 1; return res; } }; int main() { int n, m; cin >> n >> m; PrimalDual G(n); for (int i = 0; i < m; ++i) { int u, v, c, d; scanf("%d %d %d %d", &u, &v, &c, &d); u--; v--; G.add_edge(u, v, 1, c); G.add_edge(v, u, 1, c); G.add_edge(u, v, 1, d); G.add_edge(v, u, 1, d); } int ret = 0; cout << G.flow(0, n-1, 2, ret) << "\n"; return 0; }