package q6xx; import java.io.ByteArrayInputStream; import java.io.IOException; import java.io.InputStream; import java.io.PrintWriter; import java.util.Arrays; import java.util.InputMismatchException; public class Q655 { InputStream is; PrintWriter out; String INPUT = ""; void solve() { int n = ni(); int[] f = new int[n]; for(int i = 0;i < n;i++){ f[i] = i; } int K = ni(); for(int i = 0;i < K;i++){ int x = ni()-1, y = ni()-1; int d = f[x]; f[x] = f[y]; f[y] = d; } int[][] sf = splitIntoCycleProfs(f); int[] clus = sf[0]; int[] ind = sf[1]; int[] pe = sf[2]; inner: for(int Q = ni();Q > 0;Q--){ int[] a = na(n); for(int i = 0;i < n;i++)a[i]--; int[] ofs = new int[n]; Arrays.fill(ofs, -9999); for(int i = 0;i < n;i++){ if(clus[i] != clus[a[i]]){ out.println(-1); continue inner; } int lofs = (ind[a[i]] - ind[i] + pe[clus[i]]) % pe[clus[i]]; if(ofs[clus[i]] < 0 || ofs[clus[i]] == lofs){ ofs[clus[i]] = lofs; }else{ out.println(-1); continue inner; } } long p = 1, v = 0; for(int i = 0;i < n;i++){ if(ofs[i] >= 0){ v = crt(p, v, pe[i], ofs[i]); p = p * (pe[i] / gcd(p, pe[i])); } } if(v == 0)v = p; out.println(v); } } public static long gcd(long a, long b) { while (b > 0) { long c = a; a = b; b = c % b; } return a; } public static long crt(long p, long m, long q, long n) { long[] apr = exgcd(p, q); if((n - m) % apr[0] != 0)return -1; long mod = p * (q / apr[0]); long a = (apr[1] * ((n - m) / apr[0]) * p + m) % mod; if(a < 0)a += mod; return a; } public static long[] exgcd(long a, long b) { long p = 1, q = 0, r = 0, s = 1; while (b > 0) { long c = a / b; long d; d = a; a = b; b = d % b; d = p; p = q; q = d - c * q; d = r; r = s; s = d - c * s; } return new long[] { a, p, r }; } public static long mul(long a, long b, long mod) { a %= mod; if(a < 0)a += mod; b %= mod; if(b < 0)b += mod; long ret = 0; int x = 63-Long.numberOfLeadingZeros(b); for(;x >= 0;x--){ ret += ret; if(ret >= mod)ret -= mod; if(b<<~x<0){ ret += a; if(ret >= mod)ret -= mod; } } return ret; } public static int[][] splitIntoCycleProfs(int[] f) { int n = f.length; int[] ved = new int[n]; int[] clus = new int[n]; Arrays.fill(clus, -1); int[] ncyc = new int[n]; int ncy = 0; int[] cind = new int[n]; Arrays.fill(cind, -1); for(int i = 0;i < n;i++){ int cur = i; int p = 0; while(ved[cur] == 0){ ved[cur] = i+1; cind[cur] = p++; cur = f[cur]; } if(ved[cur] == i+1){ // cycle int o = cur; cur = f[cur]; clus[o] = ncy; int cy = 1; while(cur != o){ clus[cur] = ncy; cur = f[cur]; cy++; } ncyc[ncy] = cy; ncy++; } } return new int[][]{clus, cind, Arrays.copyOf(ncyc, ncy)}; } void run() throws Exception { is = INPUT.isEmpty() ? System.in : new ByteArrayInputStream(INPUT.getBytes()); out = new PrintWriter(System.out); long s = System.currentTimeMillis(); solve(); out.flush(); if(!INPUT.isEmpty())tr(System.currentTimeMillis()-s+"ms"); } public static void main(String[] args) throws Exception { new Q655().run(); } private byte[] inbuf = new byte[1024]; private int lenbuf = 0, ptrbuf = 0; private int readByte() { if(lenbuf == -1)throw new InputMismatchException(); if(ptrbuf >= lenbuf){ ptrbuf = 0; try { lenbuf = is.read(inbuf); } catch (IOException e) { throw new InputMismatchException(); } if(lenbuf <= 0)return -1; } return inbuf[ptrbuf++]; } private boolean isSpaceChar(int c) { return !(c >= 33 && c <= 126); } private int skip() { int b; while((b = readByte()) != -1 && isSpaceChar(b)); return b; } private double nd() { return Double.parseDouble(ns()); } private char nc() { return (char)skip(); } private String ns() { int b = skip(); StringBuilder sb = new StringBuilder(); while(!(isSpaceChar(b))){ // when nextLine, (isSpaceChar(b) && b != ' ') sb.appendCodePoint(b); b = readByte(); } return sb.toString(); } private char[] ns(int n) { char[] buf = new char[n]; int b = skip(), p = 0; while(p < n && !(isSpaceChar(b))){ buf[p++] = (char)b; b = readByte(); } return n == p ? buf : Arrays.copyOf(buf, p); } private char[][] nm(int n, int m) { char[][] map = new char[n][]; for(int i = 0;i < n;i++)map[i] = ns(m); return map; } private int[] na(int n) { int[] a = new int[n]; for(int i = 0;i < n;i++)a[i] = ni(); return a; } private int ni() { int num = 0, b; boolean minus = false; while((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-')); if(b == '-'){ minus = true; b = readByte(); } while(true){ if(b >= '0' && b <= '9'){ num = num * 10 + (b - '0'); }else{ return minus ? -num : num; } b = readByte(); } } private long nl() { long num = 0; int b; boolean minus = false; while((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-')); if(b == '-'){ minus = true; b = readByte(); } while(true){ if(b >= '0' && b <= '9'){ num = num * 10 + (b - '0'); }else{ return minus ? -num : num; } b = readByte(); } } private static void tr(Object... o) { System.out.println(Arrays.deepToString(o)); } }