#include #include using namespace std; // #include #include #include #include #include // Maxflow (push-relabel, highest-label) // Complexity: O(N^2 M^(1/2)) template struct mf_pushrelabel { struct pque_ { std::vector> even_, odd_; int se, so; void init(int n) { even_.resize(n), odd_.resize(n), se = so = 0; }; void clear() { se = so = 0; } bool empty() const { return se + so == 0; } void push(int i, int h) { (h & 1 ? odd_[so++] : even_[se++]) = {i, h}; } int highest() const { int a = se ? even_[se - 1].second : -1, b = so ? odd_[so - 1].second : -1; return a > b ? a : b; } int pop() { if (!se or (so and odd_[so - 1].second > even_[se - 1].second)) return odd_[--so].first; return even_[--se].first; } } pque; int _n; struct _edge { int to, rev; Cap cap; }; std::vector> g; std::vector> pos; mf_pushrelabel(int n) : _n(n), g(n) { static_assert(GlobalRelabelFreq >= 0, "Global relabel parameter must be nonnegative."); } int add_edge(int from, int to, Cap cap) { assert(0 <= from and from < _n); assert(0 <= to and to < _n); assert(0 <= cap); int m = int(pos.size()); pos.emplace_back(from, int(g[from].size())); int from_id = g[from].size(), to_id = g[to].size() + (from == to); g[from].push_back({to, to_id, cap}); g[to].push_back({from, from_id, Cap(0)}); return m; } struct edge { int from, to; Cap cap, flow; }; edge get_edge(int i) const { int m = int(pos.size()); assert(0 <= i and i < m); auto e = g[pos[i].first][pos[i].second], re = g[e.to][e.rev]; return edge{pos[i].first, e.to, e.cap + re.cap, re.cap}; } std::vector edges() const { std::vector ret(pos.size()); for (int i = 0; i < int(pos.size()); i++) ret[i] = get_edge(i); return ret; } std::vector dist; std::vector dcnt; std::vector excess; int gap; void global_relabeling(int t) { dist.assign(_n, _n), dist[t] = 0; static std::vector q; if (q.empty()) q.resize(_n); q[0] = t; int qb = 0, qe = 1; pque.clear(); if (UseGapRelabeling) gap = 1, dcnt.assign(_n + 1, 0); while (qb < qe) { int now = q[qb++]; if (UseGapRelabeling) gap = dist[now] + 1, dcnt[dist[now]]++; if (excess[now] > 0) pque.push(now, dist[now]); for (const auto &e : g[now]) { if (g[e.to][e.rev].cap and dist[e.to] == _n) { dist[e.to] = dist[now] + 1; while (int(q.size()) <= qe) q.push_back(0); q[qe++] = e.to; } } } } Cap flow(int s, int t) { return flow(s, t, std::numeric_limits::max(), true); } Cap flow(int s, int t, Cap flow_limit, bool retrieve = true) { assert(0 <= s and s < _n); assert(0 <= t and t < _n); assert(s != t); excess.resize(_n, 0); excess[s] += flow_limit, excess[t] -= flow_limit; dist.assign(_n, 0); dist[s] = _n; if (UseGapRelabeling) gap = 1, dcnt.assign(_n + 1, 0), dcnt[0] = _n - 1; pque.init(_n); for (auto &e : g[s]) _push(s, e); _run(t); Cap ret = excess[t] + flow_limit; excess[s] += excess[t], excess[t] = 0; if (retrieve) { global_relabeling(s); _run(s); assert(excess == std::vector(_n, 0)); } return ret; } void _run(int t) { if (GlobalRelabelFreq) global_relabeling(t); int tick = pos.size() * GlobalRelabelFreq; while (!pque.empty()) { int i = pque.pop(); if (UseGapRelabeling and dist[i] > gap) continue; int dnxt = _n * 2 - 1; for (auto &e : g[i]) { if (!e.cap) continue; if (dist[e.to] == dist[i] - 1) { _push(i, e); if (excess[i] == 0) break; } else { if (dist[e.to] + 1 < dnxt) dnxt = dist[e.to] + 1; } } if (excess[i] > 0) { if (UseGapRelabeling) { if (dnxt != dist[i] and dcnt[dist[i]] == 1 and dist[i] < gap) gap = dist[i]; if (dnxt == gap) gap++; while (pque.highest() > gap) pque.pop(); if (dnxt > gap) dnxt = _n; if (dist[i] != dnxt) dcnt[dist[i]]--, dcnt[dnxt]++; } dist[i] = dnxt; if (!UseGapRelabeling or dist[i] < gap) pque.push(i, dist[i]); } if (GlobalRelabelFreq and --tick == 0) { tick = pos.size() * GlobalRelabelFreq, global_relabeling(t); } } return; } void _push(int i, _edge &e) { Cap delta = e.cap < excess[i] ? e.cap : excess[i]; excess[i] -= delta, e.cap -= delta; excess[e.to] += delta, g[e.to][e.rev].cap += delta; if (excess[e.to] > 0 and excess[e.to] <= delta) { if (!UseGapRelabeling or dist[e.to] <= gap) pque.push(e.to, dist[e.to]); } } }; int main() { cin.tie(nullptr), ios::sync_with_stdio(false); int N, S, T; cin >> N >> S >> T; const int gs = N, gt = gs + 1; mf_pushrelabel mf(gt + 1); constexpr long long inf = 1LL << 40; while (S--) { int e; cin >> e; mf.add_edge(gs, e - 1, inf); } while (T--) { int r; cin >> r; mf.add_edge(r - 1, gt, inf); } long long ret = 0; for (int i = 0; i < N; ++i) { for (int j = 0; j < N; ++j) { int c; cin >> c; if (i <= j) ret += c; mf.add_edge(i, j, c); } } cout << ret - mf.flow(gs, gt) << endl; }