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156
LibreOJ/6122/6122.cpp
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156
LibreOJ/6122/6122.cpp
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#include <cstring>
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#include <iostream>
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#include <map>
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#include <queue>
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#include <string>
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using std::cin;
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using std::cout;
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const char endl = '\n';
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const int N = 105,
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M = 5005,
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INF = 0x3f3f3f3f;
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int n, m, s, t, flow, cost;
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bool flag;
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std::map<std::string, int> map;
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std::string a[N];
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// Graph
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int idx, head[N], ver[M << 1], next[M << 1];
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std::pair<int, int> edge[M << 1];
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void add(int u, int v, int flow, int cost) {
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next[idx] = head[u];
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ver[idx] = v;
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edge[idx] = std::make_pair(flow, cost);
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head[u] = idx++;
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}
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// Dinic
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int dist[N];
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bool vis[N];
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bool spfa() {
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memset(vis, 0x00, sizeof(vis));
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memset(dist, 0x3f, sizeof(dist));
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std::queue<int> q;
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q.push(s);
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dist[s] = 0;
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vis[s] = true;
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while (!q.empty()) {
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int u = q.front();
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q.pop();
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vis[u] = false;
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for (int i = head[u]; ~i; i = next[i]) {
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int v = ver[i],
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c = edge[i].first,
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w = edge[i].second;
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if (dist[v] > dist[u] + w && c > 0) {
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dist[v] = dist[u] + w;
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if (!vis[v]) {
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q.push(v);
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vis[v] = true;
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}
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}
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}
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}
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return dist[t] != INF;
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}
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int dinic(int u, int limit) {
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if (u == t) return limit;
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int flow = 0;
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vis[u] = true;
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for (int i = head[u]; ~i && flow < limit; i = next[i]) {
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int v = ver[i],
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c = edge[i].first,
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w = edge[i].second;
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if (dist[v] == dist[u] + w && c && !vis[v]) {
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int k = dinic(v, std::min(c, limit - flow));
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if (!k) dist[v] = INF;
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edge[i].first -= k;
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edge[i ^ 1].first += k;
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flow += k;
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cost += k * w;
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}
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}
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vis[u] = false;
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return flow;
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}
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void dfs1(int u) {
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vis[u] = true;
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cout << a[u - n] << endl;
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for (int i = head[u]; ~i; i = next[i]) {
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if (ver[i] <= n && !edge[i].first) {
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dfs1(ver[i] + n);
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return;
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}
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}
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}
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void dfs2(int u) {
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for (int i = head[u]; ~i; i = next[i]) {
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if (ver[i] <= n && !edge[i].first && !vis[ver[i] + n]) {
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dfs2(ver[i] + n);
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}
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}
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cout << a[u - n] << endl;
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}
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int main() {
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std::ios::sync_with_stdio(false);
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memset(head, 0xff, sizeof(head));
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cin >> n >> m;
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for (int i = 1; i <= n; i++) {
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cin >> a[i];
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map[a[i]] = i;
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if (i == 1 || i == n) {
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add(i, i + n, 2, 0);
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add(i + n, i, 0, 0);
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} else {
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add(i, i + n, 1, 0);
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add(i + n, i, 0, 0);
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}
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}
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s = 1, t = n * 2;
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for (int i = 1; i <= m; i++) {
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std::string u, v;
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cin >> u >> v;
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int uu = map[u],
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vv = map[v];
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if (uu == 1 && vv == n) flag = true;
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add(uu + n, vv, 1, -1);
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add(vv, uu + n, 0, 1);
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}
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while (spfa()) flow += dinic(s, INF);
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if (flow == 2) {
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cout << -cost << endl;
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dfs1(n + 1);
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dfs2(n + 1);
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} else if (!flag) { // flow != 2
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cout << "No Solution!" << endl;
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} else { // flow != 2 && flag
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cout << 2 << endl
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<< a[1] << endl
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<< a[n] << endl
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<< a[1] << endl;
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}
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return 0;
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}
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