using System; using System.Collections.Generic; using System.Linq; using System.IO; using System.Threading; using System.Text; using System.Diagnostics; using static util; using P = pair; class Program { static void Main(string[] args) { var sw = new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false }; var solver = new Solver(sw); // var t = new Thread(solver.solve, 1 << 26); // 64 MB // t.Start(); // t.Join(); solver.solve(); sw.Flush(); } } class Solver { StreamWriter sw; Scan sc; void Prt(string a) => sw.WriteLine(a); void Prt(IEnumerable a) => Prt(string.Join(" ", a)); void Prt(params object[] a) => Prt(string.Join(" ", a)); public Solver(StreamWriter sw) { this.sw = sw; this.sc = new Scan(); } public void solve() { int h, w; // h = w = 300; sc.Multi(out h, out w); var g = new long[h][]; // var rnd = new Random(); for (int i = 0; i < h; i++) { // g[i] = new long[w]; // for (int j = 0; j < w; j++) // { // g[i][j] = rnd.Next(1000000000); // } g[i] = sc.LongArr; } // var r = new long[h]; // for (int i = 0; i < h; i++) // { // r[i] = rnd.Next(1000000000); // } // var c = new long[w]; // for (int i = 0; i < w; i++) // { // c[i] = rnd.Next(1000000000); // } var r = sc.LongArr; var c = sc.LongArr; int N = h + w + h * w + 2; int S = N - 2; int T = N - 1; var mf = new MaxFlow(N); var lis = new List>(); for (int i = 0; i < h; i++) { lis.Add(new pair(new P(S, i), r[i])); // mf.add_edge(S, i, r[i]); } for (int i = 0; i < w; i++) { lis.Add(new pair(new P(S, h + i), c[i])); // mf.add_edge(S, h + i, c[i]); } long inf = (long)1e14; for (int i = 0; i < h; i++) { for (int j = 0; j < w; j++) { lis.Add(new pair(new P(i, h + w + i * w + j), inf)); // mf.add_edge(i, h + w + i * w + j, inf); lis.Add(new pair(new P(h + j, h + w + i * w + j), inf)); // mf.add_edge(h + j, h + w + i * w + j, inf); lis.Add(new pair(new P(h + w + i * w + j, T), g[i][j])); // mf.add_edge(h + w + i * w + j, T, g[i][j]); } } // lis.shuffle(new Random()); foreach (var item in lis) { mf.add_edge(item.v1.v1, item.v1.v2, item.v2); } Prt(r.Sum() + c.Sum() - mf.run(S, T)); } } class pair : IComparable> { public T v1; public U v2; public pair() : this(default(T), default(U)) {} public pair(T v1, U v2) { this.v1 = v1; this.v2 = v2; } public int CompareTo(pair a) { int c = Comparer.Default.Compare(v1, a.v1); return c != 0 ? c : Comparer.Default.Compare(v2, a.v2); } public override string ToString() => v1 + " " + v2; public void Deconstruct(out T a, out U b) { a = v1; b = v2; } } static class util { public static readonly int M = 1000000007; // public static readonly int M = 998244353; public static readonly long LM = 1L << 60; public static readonly double eps = 1e-11; public static void DBG(string a) => Console.Error.WriteLine(a); public static void DBG(IEnumerable a) => DBG(string.Join(" ", a)); public static void DBG(params object[] a) => DBG(string.Join(" ", a)); public static void Assert(bool cond) { if (!cond) throw new Exception(); } public static pair make_pair(T v1, U v2) => new pair(v1, v2); public static int CompareList(IList a, IList b) where T : IComparable { for (int i = 0; i < a.Count && i < b.Count; i++) if (a[i].CompareTo(b[i]) != 0) return a[i].CompareTo(b[i]); return a.Count.CompareTo(b.Count); } public static bool inside(int i, int j, int h, int w) => i >= 0 && i < h && j >= 0 && j < w; static readonly int[] dd = { 0, 1, 0, -1 }; // static readonly string dstring = "RDLU"; public static P[] adjacents(int i, int j) => Enumerable.Range(0, dd.Length).Select(k => new P(i + dd[k], j + dd[k ^ 1])).ToArray(); public static P[] adjacents(int i, int j, int h, int w) => Enumerable.Range(0, dd.Length).Select(k => new P(i + dd[k], j + dd[k ^ 1])) .Where(p => inside(p.v1, p.v2, h, w)).ToArray(); public static P[] adjacents(this P p) => adjacents(p.v1, p.v2); public static P[] adjacents(this P p, int h, int w) => adjacents(p.v1, p.v2, h, w); public static Dictionary compress(this IEnumerable a) => a.Distinct().OrderBy(v => v).Select((v, i) => new { v, i }).ToDictionary(p => p.v, p => p.i); public static Dictionary compress(params IEnumerable[] a) => compress(a.Aggregate(Enumerable.Union)); public static T[] inv(this Dictionary dic) { var res = new T[dic.Count]; foreach (var item in dic) res[item.Value] = item.Key; return res; } public static void shuffle(this IList a, Random rnd) { for (int i = a.Count - 1; i > 0 ; i--) { int j = rnd.Next(i + 1); swap(a, j, i); } } public static void swap(ref T a, ref T b) { var t = a; a = b; b = t; } public static void swap(this IList a, int i, int j) { var t = a[i]; a[i] = a[j]; a[j] = t; } public static T[] copy(this IList a) { var ret = new T[a.Count]; for (int i = 0; i < a.Count; i++) ret[i] = a[i]; return ret; } } class Scan { StreamReader sr; public Scan() { sr = new StreamReader(Console.OpenStandardInput()); } public Scan(string path) { sr = new StreamReader(path); } public int Int => int.Parse(Str); public long Long => long.Parse(Str); public double Double => double.Parse(Str); public string Str => sr.ReadLine().Trim(); public pair Pair() { T a; U b; Multi(out a, out b); return new pair(a, b); } public P P => Pair(); public int[] IntArr => StrArr.Select(int.Parse).ToArray(); public long[] LongArr => StrArr.Select(long.Parse).ToArray(); public double[] DoubleArr => StrArr.Select(double.Parse).ToArray(); public string[] StrArr => Str.Split(new[]{' '}, StringSplitOptions.RemoveEmptyEntries); bool eq() => typeof(T).Equals(typeof(U)); T ct(U a) => (T)Convert.ChangeType(a, typeof(T)); T cv(string s) => eq() ? ct(int.Parse(s)) : eq() ? ct(long.Parse(s)) : eq() ? ct(double.Parse(s)) : eq() ? ct(s[0]) : ct(s); public void Multi(out T a) => a = cv(Str); public void Multi(out T a, out U b) { var ar = StrArr; a = cv(ar[0]); b = cv(ar[1]); } public void Multi(out T a, out U b, out V c) { var ar = StrArr; a = cv(ar[0]); b = cv(ar[1]); c = cv(ar[2]); } public void Multi(out T a, out U b, out V c, out W d) { var ar = StrArr; a = cv(ar[0]); b = cv(ar[1]); c = cv(ar[2]); d = cv(ar[3]); } public void Multi(out T a, out U b, out V c, out W d, out X e) { var ar = StrArr; a = cv(ar[0]); b = cv(ar[1]); c = cv(ar[2]); d = cv(ar[3]); e = cv(ar[4]); } } class MaxFlow { public class edge { public int to; public long cap; public int rev; public edge(int t, long c, int r) { to = t; cap = c; rev = r; } } int V; List[] G; int[] itr, lev; public List[] getEdges() => G; public MaxFlow(int v) { V = v; G = new List[v]; for (int i = 0; i < v; ++i) G[i] = new List(); } public void add_edge(int frm, int to, long c) => add_edge(frm, to, c, true); public void add_edge(int frm, int to, long c, bool dir) { G[frm].Add(new edge(to, c, G[to].Count)); G[to].Add(new edge(frm, dir ? 0 : c, G[frm].Count - 1)); } void bfs(int s) { lev = new int[V]; for (int i = 0; i < V; ++i) lev[i] = -1; var q = new Queue(); lev[s] = 0; q.Enqueue(s); while (q.Count > 0) { int v = q.Dequeue(); foreach (var e in G[v]) { if (e.cap > 0 && lev[e.to] < 0) { lev[e.to] = lev[v] + 1; q.Enqueue(e.to); } } } } long dfs(int v, int t, long f) { if (v == t) return f; for (; itr[v] < G[v].Count; ++itr[v]) { var e = G[v][itr[v]]; if (e.cap > 0 && lev[v] < lev[e.to]) { long d = dfs(e.to, t, f < e.cap ? f : e.cap); if (d > 0) { e.cap -= d; G[e.to][e.rev].cap += d; return d; } } } return 0; } public long run(int s, int t) { long ret = 0; bfs(s); while (lev[t] >= 0) { itr = new int[V]; long f; while ((f = dfs(s, t, util.LM)) > 0) ret += f; bfs(s); } return ret; } }