import java.io.*; import java.util.*; class Main { public static void main(String[] args) { new Main().run(); } long MOD; class K {// quadratic field long a, b, base; public K(long a, long b) { this.a = a; this.b = b; } K add(K o) { return new K(a + o.a, b + o.b); } K sub(K o) { return new K((a - o.a + MOD) % MOD, (b - o.b + MOD) % MOD); } K mul(K o) { return new K((a * o.a + b * o.b * base % MOD) % MOD, (a * o.b + o.a * b) % MOD); } // (a+b√w)/(c+d√w)=(a+b√w)(c-d√w)/(cc-dd) K div(K o) { long den = (o.b * o.b - o.a * o.a) % MOD; den = (den % MOD + MOD) % MOD; K ret = this.div(o); ret.a = ret.a * inv(den) % MOD; ret.b = ret.b * inv(den) % MOD; return ret; } } long[][] pow(long[][] a, long n) { long[][] ret = new long[2][2]; ret[0][0] = ret[1][1] = 1; for (; n > 0; n >>= 1, a = mul(a, a)) { if (n % 2 == 1) ret = mul(ret, a); } return ret; } long[][] mul(long coe, long[][] a) { long[][] ret = new long[a.length][a[0].length]; for (int i = 0; i < a.length; ++i) for (int j = 0; j < a[i].length; ++j) ret[i][j] = (MOD + coe * a[i][j] % MOD) % MOD; return ret; } long[][] mul(long[][] a, long[][] b) { long[][] ret = new long[a.length][b[0].length]; for (int i = 0; i < a.length; ++i) { for (int j = 0; j < b[i].length; ++j) { for (int k = 0; k < a[i].length; ++k) { ret[i][j] += a[i][k] * b[k][j] % MOD; ret[i][j] = (ret[i][j] % MOD + MOD) % MOD; } } } return ret; } long det(long[][] a) { return (a[0][0] * a[1][1] % MOD - a[0][1] * a[1][0] % MOD + MOD) % MOD; } long[][] rndmat(long p) { long[][] ret = new long[2][2]; Random rnd = new Random(); for (int i = 0; i < 2; ++i) for (int j = 0; j < 2; ++j) ret[i][j] = rnd.nextInt((int) p); return ret; } void run() { // long p = 103; // MOD = p; // for (int i = 0; i < 100000; ++i) { // long[][] a = rndmat(p); // long[][] b = rndmat(p); // // tr(a, b); // long ans0 = exact(a, b, p); // long ans1 = solve2(a, b, p); // if (ans1 != -99 && ans0 != -1) { // tr(ans0, ans1); // } // if(ans0!=ans1){ // tr(ans0,ans1,a,b,p); //} // } /**/ Scanner sc = new Scanner(System.in); long p = sc.nextLong(); long[][] a = new long[2][2]; long[][] b = new long[2][2]; for (int i = 0; i < 2; ++i) for (int j = 0; j < 2; ++j) a[i][j] = sc.nextLong(); for (int i = 0; i < 2; ++i) for (int j = 0; j < 2; ++j) b[i][j] = sc.nextLong(); //System.out.println(exact(a, b, p)); System.out.println(solve2(a, b, p)); /**/ } long solve2(long[][] a, long[][] b, long p) { if (p == 2) return exact(a, b, p); Scanner sc = new Scanner(System.in); MOD = p; long w = (a[0][0] * a[0][0] % MOD - 2 * a[0][0] * a[1][1] % MOD + a[1][1] * a[1][1] % MOD + 4 * a[0][1] * a[1][0] % MOD) % MOD; if (!isQuadraticResidue(w)) { throw new AssertionError(); } w = sqrt((w + MOD) % MOD, p); long det0 = det(a); long det1 = det(b); if (det0 == 0 || det1 == 0) return exact(a, b, p); long eigen1 = inv(2) * (-w + a[0][0] + a[1][1]) % MOD; long eigen2 = inv(2) * (+w + a[0][0] + a[1][1]) % MOD; long[][] S = new long[2][2]; long[][] J = new long[2][2]; long[][] eigenvec1 = new long[2][1]; long[][] eigenvec2 = new long[2][1]; if (a[1][0] == 0) { // {{a,b} // {0,d}} eigen1 = a[0][0]; eigen2 = a[1][1]; eigenvec1 = new long[][] { { 1 }, { 0 } }; eigenvec2 = new long[][] { { (MOD - a[0][1]) % MOD }, { ((a[0][0] - a[1][1]) % MOD + MOD) % MOD } }; S = new long[][] { { eigenvec1[0][0], eigenvec2[0][0] }, { eigenvec1[1][0], eigenvec2[1][0] } }; J = new long[][] { { eigen1, 1 }, { 0, eigen2 } }; if (!equiv(mul(a, eigenvec1), mul(eigen1, eigenvec1)) || !equiv(mul(a, eigenvec2), mul(eigen2, eigenvec2))) { tr(a, eigenvec1, eigen1, MOD, mul(a, eigenvec1), mul(eigen1, eigenvec1)); tr(a, eigenvec2, eigen2, MOD, mul(a, eigenvec2), mul(eigen2, eigenvec2)); throw new AssertionError(); } } else if (eigen1 != eigen2) { eigenvec1 = new long[][] { { (MOD - (-a[0][0] + a[1][1] + w) % MOD) % MOD }, { 2 * a[1][0] % MOD } }; eigenvec2 = new long[][] { { (MOD - (-a[0][0] + a[1][1] - w) % MOD) % MOD }, { 2 * a[1][0] % MOD } }; S = new long[][] { { eigenvec1[0][0], eigenvec2[0][0] }, { eigenvec1[1][0], eigenvec2[1][0] } }; J = new long[][] { { eigen1, 0 }, { 0, eigen2 } }; if (!equiv(mul(a, eigenvec1), mul(eigen1, eigenvec1)) || !equiv(mul(a, eigenvec2), mul(eigen2, eigenvec2))) { tr(a, eigenvec1, eigen1, MOD, mul(a, eigenvec1), mul(eigen1, eigenvec1)); tr(a, eigenvec2, eigen2, MOD, mul(a, eigenvec2), mul(eigen2, eigenvec2)); throw new AssertionError(); } } else { eigenvec2 = new long[2][1]; if (eigen1 != 0) { eigenvec2 = new long[][] { { (MOD - (-a[0][0] + a[1][1] - w) % MOD) % MOD }, { 2 * a[1][0] % MOD } }; } else { eigenvec2 = new long[][] { { (MOD - a[0][1]) % MOD }, { a[0][0] } }; } if (!equiv(mul(a, eigenvec2), mul(eigen1, eigenvec2))) { tr(a, eigenvec2, MOD, mul(a, eigenvec2)); throw new AssertionError(); } long[][] tmp = new long[][] { { a[0][0] - eigen1, a[0][1] }, { a[1][0], a[1][1] - eigen1 } }; eigenvec1 = mul(tmp, eigenvec2); if (eigenvec1[0][0] == 0 && eigenvec1[1][0] == 0) throw new AssertionError(); S = new long[][] { { eigenvec1[0][0], eigenvec2[0][0] }, { eigenvec1[1][0], eigenvec2[1][0] } }; J = new long[][] { { eigen1, 1 }, { 0, eigen2 } }; } for (int i = 0; i < 2; ++i) { for (int j = 0; j < 2; ++j) { J[i][j] = (J[i][j] % MOD + MOD) % MOD; b[i][j] = (b[i][j] % MOD + MOD) % MOD; } } b = mul(b, S); b = mul(invmat(S), b); if (eigen1 != eigen2 && eigen1 != 0 && eigen2 != 0) { if (b[0][1] != 0 || b[1][0] != 0) return -1; } long sol1 = discretelog(J[0][0], b[0][0]); long sol2 = discretelog(J[1][1], b[1][1]); if (sol1 == -1 || sol2 == -1) return -1; long ord1 = ord(J[0][0], MOD); long ord2 = ord(J[1][1], MOD); long ans1 = sol1; long ans2 = sol2; if (Math.abs(ans1 - ans2) % gcd(ord1, ord2) != 0) return -1; while (ans1 != ans2) { if (ans1 < ans2) ans1 += ord1; else ans2 += ord2; } // 2+12x=12+3y // 3(4x+y)=10 while (!equiv(pow(J, ans1), b)) { ans1 += lcm(ord1, ord2); ans2 += lcm(ord1, ord2); } return ans1; } boolean equiv(long[][] a, long[][] b) { boolean ret = true; if (a[0].length != b[0].length || a[1].length != b[1].length) throw new AssertionError(); for (int i = 0; i < a.length; ++i) for (int j = 0; j < a[0].length; ++j) ret &= a[i][j] == b[i][j]; return ret; } long exact(long[][] a, long[][] b, long p) { MOD = p; for (int i = 1; i < p * p; ++i) { long[][] pw_a = pow(a, i); boolean equiv = true; for (int j = 0; j < 2; ++j) for (int k = 0; k < 2; ++k) equiv &= pw_a[j][k] == b[j][k]; if (equiv) return i; } return -1; } long inv(long a) { return pow(a, MOD - 2); } long ord(long a, long p) { if (a == 1) return 1; long ret = p - 1; for (long div = 2; div * div <= p - 1; ++div) { if ((p - 1) % div != 0) continue; if (pow(a, div) == 1) ret = Math.min(ret, div); else if (pow(a, (p - 1) / div) == 1) ret = Math.min(ret, (p - 1) / div); } return ret; } long pow(long a, long n) { long ret = 1; for (; n > 0; n >>= 1, a = a * a % MOD) { if (n % 2 == 1) ret = ret * a % MOD; } return ret; } // return x s.t. a^x = b && x>0 long discretelog(long a, long b) { if (a == 1) { if (b == 1) return 1; else return -1; } else if (a == 0) { if (b == 0) return 1; else return -1; } // a^(um+v) = b // a^v = b a^(-m)^u int m = (int) (Math.sqrt(MOD) + 1); long pw = 1; HashMap map = new HashMap<>(); for (int v = 0; v <= m; ++v) { map.put(pw, v); pw = pw * a % MOD; } long ima = pow(inv(a), m); long ipw = 1; for (int i = 0; i <= m; ++i) { if (map.containsKey(b * ipw % MOD)) { long ret = i * m + map.get(b * ipw % MOD); if (ret != 0) return ret; } ipw = ipw * ima % MOD; } return -1; } long[][] invmat(long[][] a) { if (det(a) == 0) throw new AssertionError(); long[][] ret = new long[2][2]; ret[0][0] = a[1][1]; ret[1][1] = a[0][0]; ret[0][1] = (MOD - a[0][1]) % MOD; ret[1][0] = (MOD - a[1][0]) % MOD; for (int i = 0; i < 2; ++i) for (int j = 0; j < 2; ++j) ret[i][j] = ret[i][j] * inv(det(a)) % MOD; return ret; } long gcd(long a, long b) { if (a > b) return gcd(b, a); if (a == 0) return b; return gcd(a, b % a); } long lcm(long a, long b) { return a / gcd(a, b) * b; } boolean isQuadraticResidue(long a) { return pow(a, (MOD - 1) / 2) == 1; } long sqrt(long a, long p) { if (a == 0) return 0; int b = 0; while (pow((b * b % p - a + p) % p, (p - 1) / 2) != p - 1) ++b; long[] d = { 1, 0 }; long[] m = { b, 1 }; long n = (p + 1) / 2; for (; n > 0; n >>= 1, m = poly_mul(m, m, b, a, p)) { if (n % 2 == 1) d = poly_mul(d, m, b, a, p); } return d[0]; } long[] poly_mul(long[] u, long[] v, long b, long a, long p) { long[] ret = new long[3]; for (int i = 0; i < 2; ++i) { for (int j = 0; j < 2; ++j) { ret[i + j] += u[i] * v[j]; ret[i + j] %= p; } } ret[0] += ret[2] * (b * b - a); ret[0] %= p; for (int i = 0; i < ret.length; ++i) { while (ret[i] < 0) ret[i] += p; } return Arrays.copyOf(ret, 2); } void tr(Object... objects) { System.out.println(Arrays.deepToString(objects)); } }