#include #include #include #include #include #include #include #include #include #include #include #include #include #define getchar getchar_unlocked #define putchar putchar_unlocked #define _rep(_1, _2, _3, _4, name, ...) name #define rep2(i, n) rep3(i, 0, n) #define rep3(i, a, b) rep4(i, a, b, 1) #define rep4(i, a, b, c) for (int i = int(a); i < int(b); i += int(c)) #define rep(...) _rep(__VA_ARGS__, rep4, rep3, rep2, _)(__VA_ARGS__) using namespace std; using i64 = long long; using u8 = unsigned char; using u32 = unsigned; using u64 = unsigned long long; using f80 = long double; vector< pair > factors(int n) { vector< pair > ret; for (int i = 2; i64(i) * i <= n; ++i) { if (n % i == 0) { int e = 1; n /= i; while (n % i == 0) n /= i, ++e; ret.emplace_back(i, e); } } if (n > 1) ret.emplace_back(n, 1); return ret; } int gcd(int a, int b) { return b ? gcd(b, a % b) : a; } int pow_mod(int b, int e, int p) { int ret = 1; for (; e; e >>= 1, b = i64(b) * b % p) { if (e & 1) ret = i64(ret) * b % p; } return ret; } int mod_inv(int a, int mod) { int b = mod, s = 1, u = 0; while (b) { int q = a / b; swap(b, a %= b); swap(s -= q * u, u); } if (a != 1) assert(0); return s < 0 ? s + mod : s; } int msqrtp_p(int a, int p, int e, int mod) { int q = mod - 1, s = 0; while (q % p == 0) q /= p, ++s; int pe = 1; rep(_, e) pe *= p; int d = mod_inv(pe - q % pe, pe) * q; int r = pow_mod(a, (d + 1) / pe, mod); int t = pow_mod(a, d, mod); if (t == 1) return r; int ps = 1; rep(_, s - 1) ps *= p; int c = -1; for (int z = 2; ; ++z) { c = pow_mod(z, q, mod); if (pow_mod(c, ps, mod) != 1) break; } int b = -1; while (t != 1) { int tmp = pow_mod(t, p, mod), s2 = 1; while (tmp != 1) tmp = pow_mod(tmp, p, mod), ++s2; if (s2 + e <= s) { b = c; rep(_, s - s2 - e) b = pow_mod(b, p, mod); c = pow_mod(b, pe, mod); s = s2; } r = i64(r) * b % mod; t = i64(t) * c % mod; } return r; } int msqrtn_p(int a, int n, int p) { a %= p, n %= p - 1; if (n == 0) return a != 1 ? -1 : 1; if (a <= 1) return a; int g = gcd(p - 1, n); if (pow_mod(a, (p - 1) / g, p) != 1) return -1; a = pow_mod(a, mod_inv(n / g, (p - 1) / g), p); for (auto pp : factors(g)) { a = msqrtp_p(a, pp.first, pp.second, p); } return a; } void solve() { int P, R; while (~scanf("%d %d", &P, &R)) { int Q; scanf("%d", &Q); int inv2 = pow_mod(2, P - 2, P); rep(_, Q) { int a, b, c; scanf("%d %d %d", &a, &b, &c); int inv = pow_mod(a, P - 2, P); b = i64(b) * inv % P; c = i64(c) * inv % P; b = i64(b) * inv2 % P; int rhs = (P - c + i64(b) * b) % P; int r = msqrtn_p(rhs, 2, P); if (r < 0) { puts("-1"); } else { int ans1 = (r + P - b) % P; int ans2 = (P - r + P - b) % P; if (ans1 > ans2) swap(ans1, ans2); if (ans1 == ans2) { printf("%d\n", ans1); } else { printf("%d %d\n", ans1, ans2); } } } } } int main() { clock_t beg = clock(); solve(); clock_t end = clock(); fprintf(stderr, "%.3f sec\n", double(end - beg) / CLOCKS_PER_SEC); return 0; }