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 << 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 n, m, k; sc.Multi(out n, out m, out k); char op = '+'; var b = new int[m]; { var s = sc.StrArr; op = s[0][0]; b = s.Skip(1).Select(int.Parse).ToArray(); } var a = new int[n]; for (int i = 0; i < n; i++) { a[i] = sc.Int; } if (op == '+') { for (int i = 0; i < n; i++) { a[i] %= k; } for (int i = 0; i < m; i++) { b[i] %= k; } var dicb = new Dictionary(); for (int i = 0; i < m; i++) { if (!dicb.ContainsKey(b[i])) { dicb.Add(b[i], 0); } ++dicb[b[i]]; } long ans = 0; for (int i = 0; i < n; i++) { if (dicb.ContainsKey((k - a[i]) % k)) { ans += dicb[(k - a[i]) % k]; } } Prt(ans); } else { var pr = new List

(); { int l = k; for (int i = 2; i * i <= l; i++) { if (l % i == 0) { int c = 0; while (l % i == 0) { ++c; l /= i; } pr.Add(new P(i, c)); } } if (l > 1) { pr.Add(new P(l, 1)); } } var yak = new List(); for (int i = 1; i * i <= k; i++) { if (k % i == 0) { yak.Add(i); if (k / i != i) { yak.Add(k / i); } } } yak.Sort(); var dicb = new Dictionary(); var bb = new Dictionary(); for (int i = 0; i < m; i++) { int p = 1; foreach (var item in pr) { int d = b[i]; for (int j = 0; j < item.v2; j++) { if (d % item.v1 == 0) { d /= item.v1; p *= item.v1; } else break; } } if (!bb.ContainsKey(p)) { bb.Add(p, 0); } ++bb[p]; // DBG(p); } foreach (var item in bb) { int p = item.Key; foreach (var j in yak) { if (j > p) break; if (p % j == 0) { if (!dicb.ContainsKey(j)) { dicb.Add(j, 0); } dicb[j] += item.Value; } } } long ans = 0; for (int i = 0; i < n; i++) { int p = 1; foreach (var item in pr) { int d = a[i]; for (int j = 0; j < item.v2; j++) { if (d % item.v1 == 0) { d /= item.v1; p *= item.v1; } else break; } } if (dicb.ContainsKey(k / p)) { ans += dicb[k / p]; } } Prt(ans); } } } 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) { foreach (var cond in conds) 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 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; } public static void Deconstruct(this IList v, out T a) { a = v[0]; } public static void Deconstruct(this IList v, out T a, out T b) { a = v[0]; b = v[1]; } public static void Deconstruct(this IList v, out T a, out T b, out T c) { a = v[0]; b = v[1]; c = v[2]; } public static void Deconstruct(this IList v, out T a, out T b, out T c, out T d) { a = v[0]; b = v[1]; c = v[2]; d = v[3]; } public static void Deconstruct(this IList v, out T a, out T b, out T c, out T d, out T e) { a = v[0]; b = v[1]; c = v[2]; d = v[3]; e = v[4]; } } 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]); } }