#include #include #include #include #include using std::cin; using std::cout; const char endl = '\n'; const int N = 105, M = 5005, INF = 0x3f3f3f3f; int n, m, s, t, flow, cost; bool flag; std::map map; std::string a[N]; // Graph int idx, head[N], ver[M << 1], next[M << 1]; std::pair edge[M << 1]; void add(int u, int v, int flow, int cost) { next[idx] = head[u]; ver[idx] = v; edge[idx] = std::make_pair(flow, cost); head[u] = idx++; } // Dinic int dist[N]; bool vis[N]; bool spfa() { memset(vis, 0x00, sizeof(vis)); memset(dist, 0x3f, sizeof(dist)); std::queue q; q.push(s); dist[s] = 0; vis[s] = true; while (!q.empty()) { int u = q.front(); q.pop(); vis[u] = false; for (int i = head[u]; ~i; i = next[i]) { int v = ver[i], c = edge[i].first, w = edge[i].second; if (dist[v] > dist[u] + w && c > 0) { dist[v] = dist[u] + w; if (!vis[v]) { q.push(v); vis[v] = true; } } } } return dist[t] != INF; } int dinic(int u, int limit) { if (u == t) return limit; int flow = 0; vis[u] = true; for (int i = head[u]; ~i && flow < limit; i = next[i]) { int v = ver[i], c = edge[i].first, w = edge[i].second; if (dist[v] == dist[u] + w && c && !vis[v]) { int k = dinic(v, std::min(c, limit - flow)); if (!k) dist[v] = INF; edge[i].first -= k; edge[i ^ 1].first += k; flow += k; cost += k * w; } } vis[u] = false; return flow; } void dfs1(int u) { vis[u] = true; cout << a[u - n] << endl; for (int i = head[u]; ~i; i = next[i]) { if (ver[i] <= n && !edge[i].first) { dfs1(ver[i] + n); return; } } } void dfs2(int u) { for (int i = head[u]; ~i; i = next[i]) { if (ver[i] <= n && !edge[i].first && !vis[ver[i] + n]) { dfs2(ver[i] + n); } } cout << a[u - n] << endl; } int main() { std::ios::sync_with_stdio(false); memset(head, 0xff, sizeof(head)); cin >> n >> m; for (int i = 1; i <= n; i++) { cin >> a[i]; map[a[i]] = i; if (i == 1 || i == n) { add(i, i + n, 2, 0); add(i + n, i, 0, 0); } else { add(i, i + n, 1, 0); add(i + n, i, 0, 0); } } s = 1, t = n * 2; for (int i = 1; i <= m; i++) { std::string u, v; cin >> u >> v; int uu = map[u], vv = map[v]; if (uu == 1 && vv == n) flag = true; add(uu + n, vv, 1, -1); add(vv, uu + n, 0, 1); } while (spfa()) flow += dinic(s, INF); if (flow == 2) { cout << -cost << endl; dfs1(n + 1); dfs2(n + 1); } else if (!flag) { // flow != 2 cout << "No Solution!" << endl; } else { // flow != 2 && flag cout << 2 << endl << a[1] << endl << a[n] << endl << a[1] << endl; } return 0; }