#include using namespace std; using lint = long long int; using pint = pair; using plint = pair; struct fast_ios { fast_ios(){ cin.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(20); }; } fast_ios_; #define ALL(x) (x).begin(), (x).end() #define SZ(x) ((lint)(x).size()) #define POW2(n) (1LL << (n)) #define FOR(i, begin, end) for(int i=(begin),i##_end_=(end);i=i##_begin_;i--) #define REP(i, n) FOR(i,0,n) #define IREP(i, n) IFOR(i,0,n) template void ndarray(vector &vec, int len) { vec.resize(len); } template void ndarray(vector &vec, int len, Args... args) { vec.resize(len); for (auto &v : vec) ndarray(v, args...); } template bool mmax(T &m, const T q) { if (m < q) {m = q; return true;} else return false; } template bool mmin(T &m, const T q) { if (m > q) {m = q; return true;} else return false; } template pair operator+(const pair &l, const pair &r) { return make_pair(l.first + r.first, l.second + r.second); } template pair operator-(const pair &l, const pair &r) { return make_pair(l.first - r.first, l.second - r.second); } template istream &operator>>(istream &is, vector &vec){ for (auto &v : vec) is >> v; return is; } ///// This part below is only for debug, not used ///// template ostream &operator<<(ostream &os, const vector &vec){ os << "["; for (auto v : vec) os << v << ","; os << "]"; return os; } template ostream &operator<<(ostream &os, const deque &vec){ os << "deq["; for (auto v : vec) os << v << ","; os << "]"; return os; } template ostream &operator<<(ostream &os, const set &vec){ os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; } template ostream &operator<<(ostream &os, const unordered_set &vec){ os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; } template ostream &operator<<(ostream &os, const multiset &vec){ os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; } template ostream &operator<<(ostream &os, const unordered_multiset &vec){ os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; } template ostream &operator<<(ostream &os, const pair &pa){ os << "(" << pa.first << "," << pa.second << ")"; return os; } template ostream &operator<<(ostream &os, const map &mp){ os << "{"; for (auto v : mp) os << v.first << "=>" << v.second << ","; os << "}"; return os; } template ostream &operator<<(ostream &os, const unordered_map &mp){ os << "{"; for (auto v : mp) os << v.first << "=>" << v.second << ","; os << "}"; return os; } #define dbg(x) cerr << #x << " = " << (x) << " (L" << __LINE__ << ") " << __FILE__ << endl; ///// END ///// /* #include #include #include using namespace __gnu_pbds; // find_by_order(), order_of_key() template using pbds_set = tree, rb_tree_tag, tree_order_statistics_node_update>; template using pbds_map = tree, rb_tree_tag, tree_order_statistics_node_update>; */ template class Maxflow { struct edge { int to; T cap; int rev; }; std::vector > edges; std::vector level; std::vector iter; std::vector used; void bfs(int s) { level = std::vector(edges.size(), -1); std::queue q; level[s] = 0; q.push(s); while (!q.empty()) { int v = q.front(); q.pop(); for (edge &e : edges[v]) { if (e.cap > 0 && level[e.to] < 0) { level[e.to] = level[v] + 1; q.push(e.to); } } } } T dfs_d(int v, int goal, T f) { if (v == goal) return f; for (int &i = iter[v]; i < (int)edges[v].size(); i++) { edge &e = edges[v][i]; if (e.cap > 0 && level[v] < level[e.to]) { T d = dfs_d(e.to, goal, std::min(f, e.cap)); if (d > 0) { e.cap -= d; edges[e.to][e.rev].cap += d; return d; } } } return 0; } T dfs_ff(int v, int goal, T f) { if (v == goal) return f; used[v] = true; for (int i = 0; i < (int)edges[v].size(); i++) { edge &e = edges[v][i]; if (e.cap > 0 && !used[e.to]) { T d = dfs_ff(e.to, goal, std::min(f, e.cap)); if (d > 0) { e.cap -= d; edges[e.to][e.rev].cap += d; return d; } } } return 0; } public: Maxflow(int N) { edges.resize(N); } void add_edge(int from, int to, T capacity) { edges[from].push_back(edge{to, capacity, (int)edges[to].size()}); edges[to].push_back(edge{from, (T)0, (int)edges[from].size() - 1}); } T Dinic(int s, int t) { constexpr T INF = std::numeric_limits::max(); T flow = 0; while (true) { bfs(s); if (level[t] < 0) return flow; iter = std::vector(edges.size(), 0); T f; while ((f = dfs_d(s, t, INF)) > 0) flow += f; } } T FF(int s, int t) { constexpr T INF = std::numeric_limits::max(); T flow = 0; while (true) { used = std::vector(edges.size(), 0); T f = dfs_ff(s, t, INF); if (f == 0) return flow; flow += f; } } void back_flow(int s, int t, int s_e, int t_e, T capacity_reduce) { int i; for (i=0; edges[s_e][i].to != t_e; ) i++; edge &e = edges[s_e][i]; if (capacity_reduce <= e.cap) { e.cap -= capacity_reduce; } else { T flow = capacity_reduce - e.cap; e.cap = 0; edges[e.to][e.rev].cap -= flow; T f_sum = 0; while (f_sum != flow) { used = std::vector(edges.size(), 0); f_sum += dfs_ff(t, t_e, flow - f_sum); } f_sum = 0; while (f_sum != flow) { used = std::vector(edges.size(), 0); f_sum += dfs_ff(s_e, s, flow - f_sum); } } } }; int main() { int H, W; cin >> H >> W; vector> G(H, vector(W)); cin >> G; vector R(H), C(W); cin >> R >> C; int Z = 1 + H + W + H * W; Maxflow g(Z + 1); REP(i, H) g.add_edge(0, i + 1,R[i]); REP(i, W) g.add_edge(0, H + 1 + i, C[i]); REP(i, H) REP(j, W) { int b = H + W + 1 + i * W + j; g.add_edge(i + 1, b, 1e10); g.add_edge(H + 1 + j, b, 1e10); g.add_edge(b, Z, G[i][j]); } lint f = g.Dinic(0, Z); cout << accumulate(ALL(R), 0LL) + accumulate(ALL(C), 0LL) - f << endl; }