#include #include #include #include #include using std::cin; using std::cout; const char endl = '\n'; const int N = 5e4 + 5, M = 125003 + 5; int n, m, s, t, ss, tt; int idx, head[N], ver[M << 2], edge[M << 2], next[M << 2]; int f[N], cur[N], dist[N]; void add(int u, int v, int w) { ver[idx] = v; edge[idx] = w; next[idx] = head[u]; head[u] = idx++; } bool bfs() { memset(dist, 0x00, sizeof(dist)); std::queue q; q.push(s); dist[s] = 1; cur[s] = head[s]; while (!q.empty()) { int u = q.front(); q.pop(); for (int i = head[u]; ~i; i = next[i]) { int v = ver[i], w = edge[i]; if (!dist[v] && w) { dist[v] = dist[u] + 1; cur[v] = head[v]; if (v == t) return true; q.push(v); } } } return false; } int dinic(int u, int limit) { if (u == t) return limit; int flow = 0; for (int i = cur[u]; ~i && flow < limit; i = next[i]) { cur[u] = i; int v = ver[i], w = edge[i]; if (dist[v] == dist[u] + 1 && w) { int k = dinic(v, std::min(w, limit - flow)); if (!k) dist[v] = 0; edge[i] -= k; edge[i ^ 1] += k; flow += k; } } return flow; } int main() { std::ios::sync_with_stdio(false); cin.tie(nullptr); memset(head, 0xff, sizeof(head)); cin >> n >> m >> ss >> tt; for (int i = 1, u, v, a, b; i <= m; i++) { cin >> u >> v >> a >> b; add(u, v, b - a); add(v, u, 0); f[u] -= a, f[v] += a; } int sum = 0; s = 0, t = n + 1; for (int i = 1; i <= n; i++) { if (f[i] > 0) { add(s, i, f[i]); add(i, s, 0); sum += f[i]; } else if (f[i] < 0) { add(i, t, -f[i]); add(t, i, 0); } } add(tt, ss, std::numeric_limits::max()); add(ss, tt, 0); int res = 0, flow; while (bfs()) { while (flow = dinic(s, std::numeric_limits::max())) res += flow; } if (res == sum) { int x = edge[idx - 1]; edge[idx - 1] = edge[idx - 2] = 0; s = tt, t = ss; int res = 0, flow; while (bfs()) { while (flow = dinic(s, std::numeric_limits::max())) res += flow; } cout << x - res << endl; } else { cout << "No Solution" << endl; } return 0; }