using System; using System.IO; using System.Linq; using System.Text; using System.Collections.Generic; using System.Diagnostics; using System.Numerics; using Enu = System.Linq.Enumerable; class Program { public void Solve() { int N = Reader.Int(), K = Reader.Int(); var table = Reader.IntTable(K); int Q = Reader.Int(); var A = Reader.IntTable(Q).Select(r => r.Select(c => c - 1).ToArray()).ToArray(); var prevPos = Enu.Range(0, N).ToArray(); foreach (var t in table) Swap(ref prevPos[t[0] - 1], ref prevPos[t[1] - 1]); var seen = new bool[N]; var dist = new int[N, N]; for (int a = 0; a < N; a++) for (int b = 0; b < N; b++) dist[a, b] = N + 1; for (int i = 0; i < N; i++) if (!seen[i]) for (int x = i; !seen[x]; x = prevPos[x]) { seen[x] = true; dist[x, prevPos[x]] = 1; } for (int c = 0; c < N; c++) for (int a = 0; a < N; a++) for (int b = 0; b < N; b++) dist[a, b] = Math.Min(dist[a, b], dist[a, c] + dist[c, b]); foreach (var a in A) Console.WriteLine(Calc(N, a, dist)); } private long Calc(int N, int[] who, int[,] dist) { long[] A = new long[N]; long[] B = new long[N]; long[] M = new long[N]; for (int i = 0; i < N; i++) { if (dist[i, who[i]] > N) return -1; A[i] = 1; B[i] = dist[i, who[i]]; M[i] = dist[i, i]; } long x, m; if (LinearCongruence(A, B, M, out x, out m)) return (x == 0) ? m : x; return -1; } static void Swap(ref T a, ref T b) { T t = a; a = b; b = t; } // A[i] * X % M[i] = B[i] % M[i] // X % m = x static bool LinearCongruence(long[] A, long[] B, long[] M, out long x, out long m) { x = 0; m = 1; for (int i = 0; i < A.Length; i++) { long a = A[i] * m; long b = B[i] - A[i] * x; long d = GCD(M[i], a); if (b % d != 0) return false; long t = b / d * ModInverse(a / d, M[i] / d) % (M[i] / d); x = x + m * t; m *= M[i] / d; } x = (x % m + m) % m; return true; } static long GCD(long a, long b) { while (b != 0) { long r = a % b; a = b; b = r; } return a; } static long ModInverse(long N, long mod) { long x = 0, y = 0; ExtGCD(N, mod, ref x, ref y); return (x % mod + mod) % mod; } static long ExtGCD(long a, long b, ref long x, ref long y) { if (b == 0) { x = 1; y = 0; return a; } long res = ExtGCD(b, a % b, ref y, ref x); y -= (a / b) * x; return res; } class UnionFind { private int[] parent; private int[] rank; private int[] numElements; public UnionFind(int N) { parent = new int[N]; rank = new int[N]; numElements = new int[N]; for (int i = 0; i < N; i++) { parent[i] = i; numElements[i] = 1; } } public int Root(int x) { if (parent[x] == x) return x; return parent[x] = Root(parent[x]); } public bool Same(int x, int y) { return Root(x) == Root(y); } public int NumElements(int x) { return numElements[Root(x)]; } public bool Unite(int x, int y) { x = Root(x); y = Root(y); if (x == y) return false; if (rank[x] > rank[y]) { var t = x; x = y; y = t; } if (rank[x] == rank[y]) rank[y]++; parent[x] = y; numElements[y] += numElements[x]; return true; } public List[] Components() { var dic = new Dictionary>(); for (int i = 0; i < parent.Length; i++) { int root = Root(i); if (!dic.ContainsKey(root)) dic[root] = new List(); dic[root].Add(i); } return dic.Values.ToArray(); } } } class Entry { static void Main() { new Program().Solve(); } } class Reader { private static TextReader reader = Console.In; private static readonly char[] separator = { ' ' }; private static readonly StringSplitOptions op = StringSplitOptions.RemoveEmptyEntries; private static string[] A = new string[0]; private static int i; private static void Init() { A = new string[0]; } public static void Set(TextReader r) { reader = r; Init(); } public static void Set(string file) { reader = new StreamReader(file); Init(); } public static bool HasNext() { return CheckNext(); } public static string String() { return Next(); } public static int Int() { return int.Parse(Next()); } public static long Long() { return long.Parse(Next()); } public static double Double() { return double.Parse(Next()); } public static int[] IntLine() { return Array.ConvertAll(Split(Line()), int.Parse); } public static int[] IntArray(int N) { return Enu.Range(0, N).Select(i => Int()).ToArray(); } public static int[][] IntTable(int H) { return Enu.Range(0, H).Select(i => IntLine()).ToArray(); } public static string[] StringArray(int N) { return Enu.Range(0, N).Select(i => Next()).ToArray(); } public static string Line() { return reader.ReadLine().Trim(); } private static string[] Split(string s) { return s.Split(separator, op); } private static string Next() { CheckNext(); return A[i++]; } private static bool CheckNext() { if (i < A.Length) return true; string line = reader.ReadLine(); if (line == null) return false; if (line == "") return CheckNext(); A = Split(line); i = 0; return true; } }