using System; using System.Collections.Generic; using System.IO; using System.Linq; using static System.Math; using System.Text; using System.Threading; using System.Globalization; using System.Runtime.CompilerServices; using System.Runtime.InteropServices; using Library; namespace Program { public static class ProblemF { static bool SAIKI = false; static public int numberOfRandomCases = 0; static public void MakeTestCase(List _input, List _output, ref Func _outputChecker) { } static public void Solve() { var N = NN; var M = NN; var K = NN; var BList = NNList(N); var RList = NNList(M); var modKB = new LIB_Dict>(_ => new List()); var modKR = new LIB_Dict>(_ => new List()); foreach (var item in BList) { modKB[item % K].Add(item / K); } foreach (var item in RList) { modKR[item % K].Add(item / K); } var count = 0L; foreach (var item in modKB) { count += Min(modKR[item.Key].Count, item.Value.Count); } if (count < Min(N, M)) { Console.WriteLine(-1); return; } if (N > M) { var t = modKR; modKR = modKB; modKB = t; } var ans = 0L; foreach (var item in modKB) { var bList = item.Value.OrderBy(e => e).ToArray(); var rList = modKR[item.Key].OrderBy(e => e).ToArray(); var saiteki = new long[bList.Length]; for (var i = 0; i < saiteki.Length; ++i) { var ret2 = LIB_Common.SanbunTansaku(0, rList.Length, mid => { return Abs(bList[i] - rList[mid]); }); saiteki[i] = ret2.k; } var dic = new Dictionary<(long, long, long, long), long>(); Func fun = null; fun = (bl, br, rl, rr) => { var key = (bl, br, rl, rr); if (dic.ContainsKey(key)) return dic[key]; var ret = LIB_Common.SanbunTansaku(bl, br, mid => { var leftCount = mid - bl; var rightCount = br - mid - 1; var rMoveLeft = rl + leftCount; var rMoveRight = rr - rightCount - 1; var rmid = Min(rMoveRight, Max(rMoveLeft, saiteki[mid])); var ret2 = Abs(bList[mid] - rList[rmid]); if (leftCount > 0) { ret2 += fun(bl, mid, rl, rmid); } if (rightCount > 0) { ret2 += fun(mid + 1, br, rmid + 1, rr); } return ret2; }); return dic[key] = ret.val; }; ans += fun(0, bList.Length, 0, rList.Length); } Console.WriteLine(ans); } class Printer : StreamWriter { public override IFormatProvider FormatProvider { get { return CultureInfo.InvariantCulture; } } public Printer(Stream stream) : base(stream, new UTF8Encoding(false, true)) { base.AutoFlush = false; } public Printer(Stream stream, Encoding encoding) : base(stream, encoding) { base.AutoFlush = false; } } static LIB_FastIO fastio = new LIB_FastIODebug(); static public void Main(string[] args) { if (args.Length == 0) { fastio = new LIB_FastIO(); Console.SetOut(new Printer(Console.OpenStandardOutput())); } if (SAIKI) { var t = new Thread(Solve, 134217728); t.Start(); t.Join(); } else Solve(); Console.Out.Flush(); } static long NN => fastio.Long(); static double ND => fastio.Double(); static string NS => fastio.Scan(); static long[] NNList(long N) => Repeat(0, N).Select(_ => NN).ToArray(); static double[] NDList(long N) => Repeat(0, N).Select(_ => ND).ToArray(); static string[] NSList(long N) => Repeat(0, N).Select(_ => NS).ToArray(); static long Count(this IEnumerable x, Func pred) => Enumerable.Count(x, pred); static IEnumerable Repeat(T v, long n) => Enumerable.Repeat(v, (int)n); static IEnumerable Range(long s, long c) => Enumerable.Range((int)s, (int)c); static IOrderedEnumerable OrderByRand(this IEnumerable x) => Enumerable.OrderBy(x, _ => xorshift); static IOrderedEnumerable OrderBy(this IEnumerable x) => Enumerable.OrderBy(x.OrderByRand(), e => e); static IOrderedEnumerable OrderBy(this IEnumerable x, Func selector) => Enumerable.OrderBy(x.OrderByRand(), selector); static IOrderedEnumerable OrderByDescending(this IEnumerable x) => Enumerable.OrderByDescending(x.OrderByRand(), e => e); static IOrderedEnumerable OrderByDescending(this IEnumerable x, Func selector) => Enumerable.OrderByDescending(x.OrderByRand(), selector); static IOrderedEnumerable OrderBy(this IEnumerable x) => x.OrderByRand().OrderBy(e => e, StringComparer.OrdinalIgnoreCase); static IOrderedEnumerable OrderBy(this IEnumerable x, Func selector) => x.OrderByRand().OrderBy(selector, StringComparer.OrdinalIgnoreCase); static IOrderedEnumerable OrderByDescending(this IEnumerable x) => x.OrderByRand().OrderByDescending(e => e, StringComparer.OrdinalIgnoreCase); static IOrderedEnumerable OrderByDescending(this IEnumerable x, Func selector) => x.OrderByRand().OrderByDescending(selector, StringComparer.OrdinalIgnoreCase); static string Join(this IEnumerable x, string separator = "") => string.Join(separator, x); static uint xorshift { get { _xsi.MoveNext(); return _xsi.Current; } } static IEnumerator _xsi = _xsc(); static IEnumerator _xsc() { uint x = 123456789, y = 362436069, z = 521288629, w = (uint)(DateTime.Now.Ticks & 0xffffffff); while (true) { var t = x ^ (x << 11); x = y; y = z; z = w; w = (w ^ (w >> 19)) ^ (t ^ (t >> 8)); yield return w; } } static bool Chmax(this ref T lhs, T rhs) where T : struct, IComparable { if (lhs.CompareTo(rhs) < 0) { lhs = rhs; return true; } return false; } static bool Chmin(this ref T lhs, T rhs) where T : struct, IComparable { if (lhs.CompareTo(rhs) > 0) { lhs = rhs; return true; } return false; } static void Fill(this T[] array, T value) => array.AsSpan().Fill(value); static void Fill(this T[,] array, T value) => MemoryMarshal.CreateSpan(ref array[0, 0], array.Length).Fill(value); static void Fill(this T[,,] array, T value) => MemoryMarshal.CreateSpan(ref array[0, 0, 0], array.Length).Fill(value); static void Fill(this T[,,,] array, T value) => MemoryMarshal.CreateSpan(ref array[0, 0, 0, 0], array.Length).Fill(value); } } namespace Library { class LIB_Dict : Dictionary { Func d; [MethodImpl(MethodImplOptions.AggressiveInlining)] public LIB_Dict(Func _d) { d = _d; } [MethodImpl(MethodImplOptions.AggressiveInlining)] public LIB_Dict() : this(_ => default(V)) { } new public V this[K i] { get { return TryGetValue(i, out var v) ? v : base[i] = d(i); } set { base[i] = value; } } [MethodImpl(MethodImplOptions.AggressiveInlining)] public override int GetHashCode() { unchecked { var ret = 23; for (var e = GetEnumerator(); e.MoveNext();) ret = (ret * 37) ^ (e.Current.Key.GetHashCode() << 5 + e.Current.Key.GetHashCode()) ^ e.Current.Value.GetHashCode(); return ret; } } [MethodImpl(MethodImplOptions.AggressiveInlining)] public override bool Equals(object obj) { var o = (LIB_Dict)obj; foreach (var kv in o) { if (!ContainsKey(kv.Key) || !this[kv.Key].Equals(kv.Value)) return false; } return o.Count == Count; } } class LIB_Deque { T[] array; int front, cap; public int Count; public T this[long i] { [MethodImpl(MethodImplOptions.AggressiveInlining)] get { return array[GetIndex((int)i)]; } [MethodImpl(MethodImplOptions.AggressiveInlining)] set { array[GetIndex((int)i)] = value; } } [MethodImpl(MethodImplOptions.AggressiveInlining)] public LIB_Deque(long cap = 16) { array = new T[this.cap = (int)cap]; } [MethodImpl(MethodImplOptions.AggressiveInlining)] int GetIndex(int i) { if (i >= cap) throw new Exception(); var r = front + i; return r >= cap ? r - cap : r; } [MethodImpl(MethodImplOptions.AggressiveInlining)] public void PushFront(T x) { if (Count == cap) Extend(); if (--front < 0) front += array.Length; array[front] = x; ++Count; } [MethodImpl(MethodImplOptions.AggressiveInlining)] public T PopFront() { if (Count-- == 0) throw new Exception(); var r = array[front++]; if (front >= cap) front -= cap; return r; } public T Front => array[front]; [MethodImpl(MethodImplOptions.AggressiveInlining)] public void PushBack(T x) { if (Count == cap) Extend(); var i = front + Count++; array[i >= cap ? i - cap : i] = x; } [MethodImpl(MethodImplOptions.AggressiveInlining)] public T PopBack() { if (Count == 0) throw new Exception(); return array[GetIndex(--Count)]; } public T Back => array[GetIndex(Count - 1)]; [MethodImpl(MethodImplOptions.AggressiveInlining)] void Extend() { T[] nb = new T[cap << 1]; if (front > cap - Count) { var l = array.Length - front; Array.Copy(array, front, nb, 0, l); Array.Copy(array, 0, nb, l, Count - l); } else Array.Copy(array, front, nb, 0, Count); array = nb; front = 0; cap <<= 1; } [MethodImpl(MethodImplOptions.AggressiveInlining)] public void Insert(long i, T x) { if (i > Count) throw new Exception(); this.PushFront(x); for (int j = 0; j < i; j++) this[j] = this[j + 1]; this[i] = x; } [MethodImpl(MethodImplOptions.AggressiveInlining)] public T RemoveAt(long i) { if (i < 0 || i >= Count) throw new Exception(); var r = this[i]; for (var j = i; j > 0; j--) this[j] = this[j - 1]; this.PopFront(); return r; } } class LIB_Common { public struct RunLengthResult { public long count; public T value; } [MethodImpl(MethodImplOptions.AggressiveInlining)] static public List> RunLength(IEnumerable l) { T before = default(T); var cnt = 0; var ret = new List>(); foreach (var item in l) { if (!before.Equals(item)) { if (cnt != 0) { ret.Add(new RunLengthResult { count = cnt, value = before }); cnt = 0; } } before = item; ++cnt; } if (cnt != 0) ret.Add(new RunLengthResult { count = cnt, value = before }); return ret; } [MethodImpl(MethodImplOptions.AggressiveInlining)] static public List LCS(T[] s, T[] t) where T : IEquatable { int sl = s.Length, tl = t.Length; var dp = new int[sl + 1, tl + 1]; for (var i = 0; i < sl; i++) { for (var j = 0; j < tl; j++) { dp[i + 1, j + 1] = s[i].Equals(t[j]) ? dp[i, j] + 1 : Max(dp[i + 1, j], dp[i, j + 1]); } } { var r = new List(); int i = sl, j = tl; while (i > 0 && j > 0) { if (s[--i].Equals(t[--j])) r.Add(s[i]); else if (dp[i, j + 1] > dp[i + 1, j]) ++j; else ++i; } r.Reverse(); return r; } } [MethodImpl(MethodImplOptions.AggressiveInlining)] static public (int[] result, List dp) LIS(IEnumerable array, bool strict) where T : IComparable { var l = new List(); var ret = new List(); foreach (var e in array) { var left = -1; var right = l.Count; while (right - left > 1) { var mid = (right + left) / 2; if (l[mid].CompareTo(e) < 0 || !strict && l[mid].CompareTo(e) == 0) left = mid; else right = mid; } if (right == l.Count) l.Add(e); else l[right] = e; ret.Add(l.Count); } return (ret.ToArray(), l); } [MethodImpl(MethodImplOptions.AggressiveInlining)] static public (long k, T val) SanbunTansaku(long left, long right, Func fun) where T : IComparable { var size = right - left; var fib = new LIB_Deque(); fib.PushBack(1); fib.PushBack(1); while (fib[fib.Count - 1] * 2 + fib[fib.Count - 2] <= size) { fib.PushBack(fib[fib.Count - 1] + fib[fib.Count - 2]); } var valueLeft = left; var valueRight = right; Func calc = x => { if (x < valueLeft || valueRight <= x) return (true, default(T)); return (false, fun(x)); }; --left; var lv = calc(left); var m1 = left + fib.PopBack(); var m2 = m1 + fib.Back; var m1v = calc(m1); var m2v = calc(m2); var rv = calc(right = m1 - left + m1 + fib.Back); while (fib.Count > 2) { if (m1v.CompareTo(m2v) < 0) { rv = m2v; right = m2; m2v = m1v; m2 = m1; m1v = calc(m1 = left + fib.PopBack()); } else { lv = m1v; left = m1; m1v = m2v; m1 = m2; m2v = calc(m2 = left + fib.PopBack() + fib.Back); } } var ans = calc(left); for (var i = left + 1; i < right; ++i) { var na = calc(i); if (ans.CompareTo(na) > 0) { ans = na; left = i; } } return (left, ans.value); } [MethodImpl(MethodImplOptions.AggressiveInlining)] static public (double k, T val) SanbunTansaku(double left, double right, Func fun) where T : IComparable { const double PHI = 0.6180339887; var lv = fun(left); var rv = fun(right); var m2 = left + (right - left) * PHI; var m2v = fun(m2); var m1 = left + (m2 - left) * PHI; var m1v = fun(m1); for (var i = 0; i < 200; ++i) { if (m1v.CompareTo(m2v) < 0) { rv = m2v; right = m2; m2v = m1v; m2 = m1; m1v = fun(m1 = left + (m2 - left) * PHI); } else { lv = m1v; left = m1; m1v = m2v; m1 = m2; m2v = fun(m2 = m1 + (m1 - left) * PHI); } } return (m1, m1v); } } class LIB_FastIO { [MethodImpl(MethodImplOptions.AggressiveInlining)] public LIB_FastIO() { str = Console.OpenStandardInput(); } readonly Stream str; readonly byte[] buf = new byte[2048]; int len, ptr; [MethodImpl(MethodImplOptions.AggressiveInlining)] byte read() { if (ptr >= len) { ptr = 0; if ((len = str.Read(buf, 0, 2048)) <= 0) { return 0; } } return buf[ptr++]; } [MethodImpl(MethodImplOptions.AggressiveInlining)] char Char() { byte b = 0; do b = read(); while (b < 33 || 126 < b); return (char)b; } [MethodImpl(MethodImplOptions.AggressiveInlining)] virtual public string Scan() { var sb = new StringBuilder(); for (var b = Char(); b >= 33 && b <= 126; b = (char)read()) sb.Append(b); return sb.ToString(); } [MethodImpl(MethodImplOptions.AggressiveInlining)] virtual public long Long() { long ret = 0; byte b = 0; var ng = false; do b = read(); while (b != '-' && (b < '0' || '9' < b)); if (b == '-') { ng = true; b = read(); } for (; true; b = read()) { if (b < '0' || '9' < b) return ng ? -ret : ret; else ret = (ret << 3) + (ret << 1) + b - '0'; } } [MethodImpl(MethodImplOptions.AggressiveInlining)] virtual public double Double() { return double.Parse(Scan(), CultureInfo.InvariantCulture); } } class LIB_FastIODebug : LIB_FastIO { Queue param = new Queue(); [MethodImpl(MethodImplOptions.AggressiveInlining)] string NextString() { if (param.Count == 0) foreach (var item in Console.ReadLine().Split(' ')) param.Enqueue(item); return param.Dequeue(); } [MethodImpl(MethodImplOptions.AggressiveInlining)] public LIB_FastIODebug() { } [MethodImpl(MethodImplOptions.AggressiveInlining)] public override string Scan() => NextString(); [MethodImpl(MethodImplOptions.AggressiveInlining)] public override long Long() => long.Parse(NextString()); [MethodImpl(MethodImplOptions.AggressiveInlining)] public override double Double() => double.Parse(NextString()); } }