#include using namespace std; using int64 = long long; template< typename flow_t > struct Dinic { const flow_t INF; struct edge { int to; flow_t cap; int rev; bool isrev; }; vector< vector< edge > > graph; vector< int > min_cost, iter; Dinic(int V) : INF(numeric_limits< flow_t >::max()), graph(V) {} void add_edge(int from, int to, flow_t cap) { graph[from].emplace_back((edge) {to, cap, (int) graph[to].size(), false}); graph[to].emplace_back((edge) {from, 0, (int) graph[from].size() - 1, true}); } bool bfs(int s, int t) { min_cost.assign(graph.size(), -1); queue< int > que; min_cost[s] = 0; que.push(s); while(!que.empty() && min_cost[t] == -1) { int p = que.front(); que.pop(); for(auto &e : graph[p]) { if(e.cap > 0 && min_cost[e.to] == -1) { min_cost[e.to] = min_cost[p] + 1; que.push(e.to); } } } return min_cost[t] != -1; } flow_t dfs(int idx, const int t, flow_t flow) { if(idx == t) return flow; for(int &i = iter[idx]; i < graph[idx].size(); i++) { edge &e = graph[idx][i]; if(e.cap > 0 && min_cost[idx] < min_cost[e.to]) { flow_t d = dfs(e.to, t, min(flow, e.cap)); if(d > 0) { e.cap -= d; graph[e.to][e.rev].cap += d; return d; } } } return 0; } flow_t max_flow(int s, int t) { flow_t flow = 0; while(bfs(s, t)) { iter.assign(graph.size(), 0); flow_t f = 0; while((f = dfs(s, t, INF)) > 0) flow += f; } return flow; } void output() { for(int i = 0; i < graph.size(); i++) { for(auto &e : graph[i]) { if(e.isrev) continue; auto &rev_e = graph[e.to][e.rev]; cout << i << "->" << e.to << " (flow: " << rev_e.cap << "/" << e.cap + rev_e.cap << ")" << endl; } } } }; int main() { int H, W; cin >> H >> W; vector< vector< int64 > > G(H, vector< int64 >(W)); for(int i = 0; i < H; i++) { for(int j = 0; j < W; j++) cin >> G[i][j]; } vector< int64 > R(H), C(W); for(int i = 0; i < H; i++) cin >> R[i]; for(int i = 0; i < W; i++) cin >> C[i]; int64 sum = accumulate(begin(R), end(R), 0LL) + accumulate(begin(C), end(C), 0LL); vector< int64 > row_sum(H); for(int i = 0; i < H; i++) { for(int j = 0; j < W; j++) row_sum[i] += G[i][j]; } int64 sum_cut = 0; vector< int64 > row_cap(H); for(int i = 0; i < H; i++) { int64 cut = min(R[i], row_sum[i]); row_cap[i] = row_sum[i] - cut; sum_cut += cut; } Dinic< int64 > flow(H + W + 2); int S = H + W; int T = S + 1; for(int i = 0; i < H; i++) { for(int j = 0; j < W; j++) { flow.add_edge(i, H + j, G[i][j]); } } for(int i = 0; i < H; i++) { flow.add_edge(S, i, row_cap[i]); } for(int i = 0; i < W; i++) { flow.add_edge(H + i, T, C[i]); } cout << sum - flow.max_flow(S, T) - sum_cut << endl; }