using System; using System.Linq; using System.Diagnostics; using System.Collections.Generic; using Debug = System.Diagnostics.Debug; using StringBuilder = System.Text.StringBuilder; using System.Numerics; namespace Program { public class Solver { public void Solve() { var n = sc.Integer(); var a = Enumerate(n, x => x); var k = sc.Integer(); for (int i = 0; i < k; i++) { var x = sc.Integer() - 1; var y = sc.Integer() - 1; Swap(ref a[x], ref a[y]); } var to = new int[n]; for (int i = 0; i < n; i++) to[a[i]] = i; var go = Enumerate(n, x => Enumerable.Repeat(-1, n).ToArray()); var T = new long[n]; for (int i = 0; i < n; i++) { var p = i; for (int j = 1; j <= n; j++) { var next = to[p]; go[i][next] = j; p = next; if (p == i) { T[i] = j; break; } } } var m = sc.Integer(); for (int i = 0; i < m; i++) { var q = sc.Integer(n); var enable = true; var A = Enumerate(n, x => 1L); var B = new long[n]; for (int j = 0; j < n; j++) { var v = q[j] - 1; if (go[v][j] == -1) { enable = false; break; } B[v] = go[v][j]; } if (!enable) IO.Printer.Out.WriteLine(-1); else IO.Printer.Out.WriteLine(LinearCongruence.MathEX.LiniearCongruence(A, B, T).Key); } } 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 != '-' && (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 * 10 + b - '0'; } } public int Integer() { return (isEof) ? int.MinValue : (int)Long(); } public double Double() { return double.Parse(Scan(), CultureInfo.InvariantCulture); } 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 LinearCongruence namespace LinearCongruence { using Number = Int64; static public partial class MathEX { static Number _gcd(Number x, Number y) { byte i = 0; while (x != 0 && y != 0) { if (i == 0) y %= x; else x %= y; i ^= 1; } return x == 0 ? y : x; } //O(log n) /// /// ax+by=gcd(a,b)を解く,戻り値は,return x,y /// static Number _exgcd(Number a, Number b, out Number x, out Number y) { var u = new Number[] { a, 1, 0 }; var v = new Number[] { b, 0, 1 }; while (v[0] != 0) { var t = u[0] / v[0]; for (int i = 0; i < 3; i++) { var tmp = u[i] - t * v[i]; u[i] = v[i]; v[i] = tmp; } } x = u[1]; y = u[2]; if (u[0] > 0) return u[0]; for (long i = 0; i < 3; i++) u[i] = -u[i]; return u[0]; } static Number _inverse(Number num, Number mod) { Number p, q; _exgcd(num, mod, out p, out q); return (p % mod + mod) % mod; } /// /// (A_i)x≡B_i mod(M_i)を解く /// 返り値はx(Mod M)のペア /// static public KeyValuePair LiniearCongruence(Number[] A, Number[] B, Number[] M) { Number x = 0; Number m = 1; var n = A.Length; for (int i = 0; i < n; i++) { var a = A[i] * m; var b = B[i] - A[i] * x; var d = _gcd(M[i], a); if (b % d != 0) return new KeyValuePair(-1, -1); var t = ((b / d) * _inverse(a / d, M[i] / d)) % (M[i] / d); x = x + m * t; m *= M[i] / d; } while (x < 0) x += m; x %= m; if (x == 0) x += m; return new KeyValuePair(x, m); } } } #endregion