using System; using System.Collections.Generic; using System.Linq; using System.IO; using System.Threading; using System.Text; using System.Text.RegularExpressions; 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 << 28); // 256 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 n, k; sc.Multi(out n, out k); var a = sc.IntArr; var b = sc.IntArr; var p = new int[n][]; for (int i = 0; i < n; i++) { p[i] = sc.IntArr; } var mcf = new MinCostFlow(n * 2 + 2); int S = n * 2, T = n * 2 + 1; long s = 0; for (int i = 0; i < n; i++) { mcf.addEdge(S, i, a[i], 0); mcf.addEdge(n + i, T, b[i], 0); for (int j = 0; j < n; j++) { s += p[i][j] * p[i][j]; for (int l = 0; l < a[i] && l < b[j]; l++) { long c = (p[i][j] - (l + 1)) * (p[i][j] - (l + 1)) - (p[i][j] - l) * (p[i][j] - l); mcf.addEdge(i, n + j, 1, c); } } } Prt(s + mcf.run(S, T, k)); } } 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(params bool[] conds) { if (conds.Any(x => !x)) 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; public static readonly int[] dd = { 0, 1, 0, -1 }; // static readonly string dstring = "RDLU"; public static IEnumerable

adjacents(int i, int j) { for (int k = 0; k < 4; k++) yield return new P(i + dd[k], j + dd[k ^ 1]); } public static IEnumerable

adjacents(int i, int j, int h, int w) => adjacents(i, j).Where(p => inside(p.v1, p.v2, h, w)); public static IEnumerable

adjacents(this P p) => adjacents(p.v1, p.v2); public static IEnumerable

adjacents(this P p, int h, int w) => adjacents(p.v1, p.v2, h, w); public static IEnumerable all_subset(this int p) { for (int i = 0; ; i = i - p & p) { yield return i; if (i == p) break; } } 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.SelectMany(x => x)); 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 swap(ref T a, ref T b) where T : struct { var t = a; a = b; b = t; } public static void swap(this IList a, int i, int j) where T : struct { 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 => ReadLine.Trim(); public string ReadLine => sr.ReadLine(); 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]); } public void Multi(out T a, out U b, out V c, out W d, out X e, out Y f) { var ar = StrArr; a = cv(ar[0]); b = cv(ar[1]); c = cv(ar[2]); d = cv(ar[3]); e = cv(ar[4]); f = cv(ar[5]); } } class MinCostFlow { class edge { public int to, cap, rev; public long cost; public edge(int to, int cap, long cost, int rev) { this.to = to; this.cap = cap; this.cost = cost; this.rev = rev; } } int n; List[] g; public MinCostFlow(int n) { this.n = n; g = new List[n]; for (int i = 0; i < n; i++) g[i] = new List(); } public void addEdge(int from, int to, int cap, long cost) { g[from].Add(new edge(to, cap, cost, g[to].Count)); g[to].Add(new edge(from, 0, -cost, g[from].Count - 1)); } public long run(int s, int t, int f) { long res = 0; var h = new long[n]; while (f > 0) { var q = new PriorityQueue>(){ rev = true }; var dist = new long[n]; var prevv = new int[n]; var preve = new int[n]; for (int i = 0; i < n; i++) dist[i] = util.LM; dist[s] = 0; q.Push(new pair(0, s)); while (q.Count > 0) { var p = q.Pop(); int v = p.v2; if (dist[v] < p.v1) continue; for (int i = 0; i < g[v].Count; ++i) { var e = g[v][i]; if (e.cap > 0 && dist[e.to] > dist[v] + e.cost + h[v] - h[e.to]) { dist[e.to] = dist[v] + e.cost + h[v] - h[e.to]; prevv[e.to] = v; preve[e.to] = i; q.Push(new pair(dist[e.to], e.to)); } } } if (dist[t] == util.LM) break; for (int v = 0; v < n; ++v) h[v] += dist[v]; int d = f; for (int v = t; v != s; v = prevv[v]) d = Math.Min(d, g[prevv[v]][preve[v]].cap); f -= d; res += d * h[t]; for (int v = t; v != s; v = prevv[v]) { var e = g[prevv[v]][preve[v]]; e.cap -= d; g[v][e.rev].cap += d; } } return res; } } // the greatest element pops class PriorityQueue { List buf; public bool rev = false; Func cmp; public PriorityQueue() { buf = new List(); cmp = (i, j) => Comparer.Default.Compare(buf[i], buf[j]) * (rev ? -1 : 1); } public PriorityQueue(Func cmp) { buf = new List(); this.cmp = (i, j) => cmp(buf[i], buf[j]); } void swap(int i, int j) { var t = buf[i]; buf[i] = buf[j]; buf[j] = t; } public void Push(T elem) { int n = buf.Count; buf.Add(elem); while (n > 0) { int i = (n - 1) >> 1; if (cmp(n, i) <= 0) break; swap(i, n); n = i; } } public T Pop() { T ret = buf[0]; int n = buf.Count - 1; buf[0] = buf[n]; buf.RemoveAt(n); for (int i = 0, j; (j = (i << 1) | 1) < n; i = j) { if (j != n - 1 && cmp(j, j + 1) < 0) ++j; if (cmp(i, j) < 0) swap(i, j); else break; } return ret; } public T Top => buf[0]; public int Count => buf.Count; }