using System; using System.Linq; using System.Collections.Generic; using Debug = System.Diagnostics.Debug; using StringBuilder = System.Text.StringBuilder; using Number = System.Int64; namespace Program { public class Solver { public void Solve() { var n = sc.Integer(); var sb = new StringBuilder(); var str = new string[n]; var pos = new int[n]; var len = new int[n]; for (int i = 0; i < n; i++) { pos[i] = sb.Length; var ss = sc.Scan(); //if (i == 37 || i == 96) ss = "z"; str[i] = ss; len[i] = ss.Length; sb.Append(ss); } var s = sb.ToString(); var hash = new Hashing(s); var sa = new SuffixArray(s); //for (int i = 0; i < s.Length; i++) IO.Printer.Out.WriteLine(sa.Rank(i)); sa.BuildLCP(); var m = sc.Integer(); var x = sc.Long(); var d = sc.Long(); long mod = n; mod *= n - 1; var ans = 0L; for (int k = 0; k < m; k++) { var i = x / (n - 1); var j = x % (n - 1); if (i > j) Swap(ref i, ref j); else j++; //var lcp = hash.LCP(pos[i], pos[j], Math.Min(len[i], len[j])); var lcp2 = Math.Min(sa.GetLCP(pos[i], pos[j]), Math.Min(len[i], len[j])); //if (lcp != lcp2) { //sa.GetLCP(pos[i], pos[j]); } ans += lcp2; //Debug.WriteLine(lcp); x = (x + d) % mod; } //IO.Printer.Out.WriteLine(ans); } public IO.StreamScanner sc = new IO.StreamScanner(Console.OpenStandardInput()); static T[] Enumerate(int n, Func f) { var a = new T[n]; for (int i = 0; i < n; ++i) a[i] = f(i); return a; } static public void Swap(ref T a, ref T b) { var tmp = a; a = b; b = tmp; } } } #region main static class Ex { static public string AsString(this IEnumerable ie) { return new string(System.Linq.Enumerable.ToArray(ie)); } static public string AsJoinedString(this IEnumerable ie, string st = " ") { return string.Join(st, ie); } static public void Main() { var solver = new Program.Solver(); solver.Solve(); Program.IO.Printer.Out.Flush(); } } #endregion #region Ex namespace Program.IO { using System.IO; using System.Text; using System.Globalization; public class Printer: StreamWriter { static Printer() { Out = new Printer(Console.OpenStandardOutput()) { AutoFlush = false }; } public static Printer Out { get; set; } public override IFormatProvider FormatProvider { get { return CultureInfo.InvariantCulture; } } public Printer(System.IO.Stream stream) : base(stream, new UTF8Encoding(false, true)) { } public Printer(System.IO.Stream stream, Encoding encoding) : base(stream, encoding) { } public void Write(string format, T[] source) { base.Write(format, source.OfType().ToArray()); } public void WriteLine(string format, T[] source) { base.WriteLine(format, source.OfType().ToArray()); } } public class StreamScanner { public StreamScanner(Stream stream) { str = stream; } public readonly Stream str; private readonly byte[] buf = new byte[1024]; private int len, ptr; public bool isEof = false; public bool IsEndOfStream { get { return isEof; } } private byte read() { if (isEof) return 0; if (ptr >= len) { ptr = 0; if ((len = str.Read(buf, 0, 1024)) <= 0) { isEof = true; return 0; } } return buf[ptr++]; } public char Char() { byte b = 0; do b = read(); while ((b < 33 || 126 < b) && !isEof); return (char)b; } public string Scan() { var sb = new StringBuilder(); for (var b = Char(); b >= 33 && b <= 126; b = (char)read()) sb.Append(b); return sb.ToString(); } public string ScanLine() { var sb = new StringBuilder(); for (var b = Char(); b != '\n'; b = (char)read()) if (b == 0) break; else if (b != '\r') sb.Append(b); return sb.ToString(); } public long Long() { if (isEof) return long.MinValue; long ret = 0; byte b = 0; var ng = false; do b = read(); while (b != 0 && b != '-' && (b < '0' || '9' < b)); if (b == 0) return long.MinValue; if (b == '-') { ng = true; b = read(); } for (; true; b = read()) { if (b < '0' || '9' < b) return ng ? -ret : ret; else ret = ret * 10 + b - '0'; } } public int Integer() { return (isEof) ? int.MinValue : (int)Long(); } public double Double() { var s = Scan(); return s != "" ? double.Parse(s, CultureInfo.InvariantCulture) : double.NaN; } private T[] enumerate(int n, Func f) { var a = new T[n]; for (int i = 0; i < n; ++i) a[i] = f(); return a; } public char[] Char(int n) { return enumerate(n, Char); } public string[] Scan(int n) { return enumerate(n, Scan); } public double[] Double(int n) { return enumerate(n, Double); } public int[] Integer(int n) { return enumerate(n, Integer); } public long[] Long(int n) { return enumerate(n, Long); } } } #endregion #region Hashing public class Hashing { int n; string s; Random rand = new Random(); ulong[] modtable = { 1000000007, 1000000009, 1000000021, 1000000033 }; ulong band = 100007; ulong MOD = (ulong)1e9 + 7; ulong[] pow, phash; public Hashing(string str) { s = str; n = s.Length; pow = new ulong[n + 1]; phash = new ulong[n + 1]; pow[0] = 1; for (int i = 0; i < n; i++) { phash[i + 1] = (s[i] + phash[i] * band); pow[i + 1] = (pow[i] * band); } MOD = modtable[rand.Next() % modtable.Length]; band = (ulong)rand.Next(26, (int)MOD); } public ulong Hash(int l, int r) { return phash[r] - (phash[l] * pow[r - l]); } //s[il,ir)とs[jl,jr)をconcatしたときにどっちが小さいか比較 //weak strict orderなので大丈夫 public int CompConcat(int i, int ir, int j, int jr) { var ls = Hash(i, ir) * pow[jr - j] + Hash(j, jr); var rs = Hash(j, jr) * pow[ir - i] + Hash(i, ir); if (ls == rs) return 0; var l = 0; var r = ir - i + jr - j + 1; while (l + 1 < r) { var m = (l + r) / 2; var lhash = i + m <= ir ? Hash(i, i + m) : Hash(i, ir) * pow[m - (ir - i)] + Hash(j, j + m - (ir - i)); var rhash = j + m <= jr ? Hash(j, j + m) : Hash(j, jr) * pow[m - (jr - j)] + Hash(i, i + m - (jr - j)); if (lhash == rhash) l = m; else r = m; } var lc = (i + l) < ir ? s[i + l] : s[j + l - (ir - i)]; var rc = (j + l) < jr ? s[j + l] : s[i + l - (jr - j)]; return lc.CompareTo(rc); } public int LCP(int i, int j, int len) { var l = 0; var r = len + 1; while (l + 1 < r) { var m = (l + r) / 2; if (Hash(i, i + m) == Hash(j, j + m)) l = m; else r = m; } return l; } } #endregion #region SuffixArray /// /// O(N) 構築 /// /// public class SuffixArray { int[] S; int N; int[] SA; int[] rank; sparseTableRMQ rmq; const char ZERO = 'a'; const int K = 26; public SuffixArray(string str) { N = str.Length; S = new int[N + 1]; for (int i = 0; i < N; i++) S[i] = str[i]; SA = sais(S, S.Max()); rank = new int[N + 1]; for (int i = 0; i <= N; i++) rank[SA[i]] = i; } void createBeginBucket(int[] v, int[] b) { for (int i = 0; i < b.Length; i++) b[i] = 0; for (int i = 0; i < v.Length; i++) b[v[i]]++; int sum = 0; for (int i = 0; i < b.Length; i++) { b[i] += sum; var tmp = b[i]; b[i] = sum; sum = tmp; } } void createEndBucket(int[] v, int[] b) { for (int i = 0; i < b.Length; i++) b[i] = 0; for (int i = 0; i < v.Length; i++) b[v[i]]++; for (int i = 1; i < b.Length; i++) b[i] += b[i - 1]; } void inducedSort(int[] v, int[] sa, int mv, int[] b, bool[] isl) { createBeginBucket(v, b); for (int i = 0; i < v.Length; i++) if (sa[i] > 0 && isl[sa[i] - 1]) sa[b[v[sa[i] - 1]]++] = sa[i] - 1; } void invertInducedSort(int[] v, int[] sa, int mv, int[] b, bool[] isl) { createEndBucket(v, b); for (int i = v.Length - 1; i >= 0; i--) if (sa[i] > 0 && !isl[sa[i] - 1]) sa[--b[v[sa[i] - 1]]] = sa[i] - 1; } int[] sais(int[] v, int mv) { if (v.Length == 1) return new int[] { 0 }; var isl = new bool[v.Length]; var b = new int[mv + 1]; var sa = new int[v.Length]; for (int i = 0; i < v.Length; i++) sa[i] = -1; for (int i = v.Length - 2; i >= 0; i--) isl[i] = v[i] > v[i + 1] || (v[i] == v[i + 1] && isl[i + 1]); createEndBucket(v, b); for (int i = 0; i < v.Length; i++) if (isLMS(i, isl)) sa[--b[v[i]]] = i; inducedSort(v, sa, mv, b, isl); invertInducedSort(v, sa, mv, b, isl); var cur = 0; var ord = new int[v.Length]; for (int i = 0; i < v.Length; i++) if (isLMS(i, isl)) ord[i] = cur++; var next = new int[cur]; cur = -1; int prev = -1; for (int i = 0; i < v.Length; i++) { if (!isLMS(sa[i], isl)) continue; var diff = false; for (int d = 0; d < v.Length; d++) { if (prev == -1 || v[sa[i] + d] != v[prev + d] || isl[sa[i] + d] != isl[prev + d]) { diff = true; break; } else if (d > 0 && isLMS(sa[i] + d, isl)) break; } if (diff) { cur++; prev = sa[i]; } next[ord[sa[i]]] = cur; } var reord = new int[next.Length]; for (int i = 0; i < v.Length; i++) if (isLMS(i, isl)) reord[ord[i]] = i; var nextsa = sais(next, cur); createEndBucket(v, b); for (int i = 0; i < sa.Length; i++) sa[i] = -1; for (int i = nextsa.Length - 1; i >= 0; i--) sa[--b[v[reord[nextsa[i]]]]] = reord[nextsa[i]]; inducedSort(v, sa, mv, b, isl); invertInducedSort(v, sa, mv, b, isl); return sa; } bool isLMS(int x, bool[] isl) { return x > 0 && isl[x - 1] && !isl[x]; } public void BuildLCP() { var k = 0; var h = new int[N]; for (int i = 0; i < N; i++) { var j = this[rank[i] - 1]; if (k > 0) k--; for (; j + k < N && i + k < N; k++) if (S[j + k] != S[i + k]) break; h[rank[i] - 1] = k; } rmq = new sparseTableRMQ(h); } public int GetLCP(int i, int j) { i = rank[i]; j = rank[j]; return rmq.Query(Math.Min(i, j), Math.Max(i, j)); } /// /// rankがiのものを返す /// public int this[int index] { get { return index == 0 ? N : SA[index - 1]; } } /// /// s[i:]のランクを返す /// public int Rank(int index) { return rank[index]; } #region SparseTableRMQ public class sparseTableRMQ { int n; int[] A; public sparseTableRMQ(int[] a) { var k = 1; n = a.Length; for (int i = 1; i < n; i <<= 1) k++; A = new int[n * k]; for (int i = 0; i < n; i++) A[i] = a[i]; var d = 0; for (int i = 1; i < n; i <<= 1) { for (int j = 0; j < n; j++) A[d + n + j] = A[d + j]; d += n; for (int j = 0; j < n - i; j++) A[d + j] = Math.Min(A[d + j], A[d + j + i]); } } /// /// value of [l,r) /// public int Query(int l, int r) { r--; int z = r - l, k = 0, e = 1, s; s = ((z & 0xffff0000) != 0 ? 1 : 0) << 4; z >>= s; e <<= s; k |= s; s = ((z & 0x0000ff00) != 0 ? 1 : 0) << 3; z >>= s; e <<= s; k |= s; s = ((z & 0x000000f0) != 0 ? 1 : 0) << 2; z >>= s; e <<= s; k |= s; s = ((z & 0x0000000c) != 0 ? 1 : 0) << 1; z >>= s; e <<= s; k |= s; s = ((z & 0x00000002) != 0 ? 1 : 0) << 0; z >>= s; e <<= s; k |= s; //var vl = A[l + n * k]; //var vr = A[r - e + 1 + (n * k)]; return Math.Min(A[l + (n * k)], A[r + (n * k) - e + 1]); } } #endregion } #endregion