#include "bits/stdc++.h" using namespace std; #ifdef _DEBUG #include "dump.hpp" #else #define dump(...) #endif #define int long long #define rep(i,a,b) for(int i=(a);i<(b);i++) #define rrep(i,a,b) for(int i=(b)-1;i>=(a);i--) #define all(c) begin(c),end(c) const int INF = sizeof(int) == sizeof(long long) ? 0x3f3f3f3f3f3f3f3fLL : 0x3f3f3f3f; const int MOD = (int)(1e9) + 7; template bool chmax(T &a, const T &b) { if (a < b) { a = b; return true; } return false; } template bool chmin(T &a, const T &b) { if (b < a) { a = b; return true; } return false; } // 累乗 // O(log e) // mod^2 が long long の最大値より大きければオーバーフローするので掛け算に modmul を使う long long modpow(long long a, long long e, long long mod) { long long res = 1; while (e > 0) { if (e & 1)res = res * a % mod; // modmul(res, a, mod); a = a * a % mod; // modmul(a, a, mod); e >>= 1; } return res; } // 逆元 // O(log mod) long long modinv(long long a, long long mod) { return modpow(a, mod - 2, mod); } // Legendre symbol // a|p なら 0 // a が平方剰余なら 1 // a が平方非剰余なら -1 int legendre(long long a, long long p) { long long l = modpow(a, (p - 1) / 2, p); return l == p - 1 ? -1 : l; } long long modsqrt(long long a, long long p) { int l = legendre(a, p); if (l != 1)return l; long long S = 0, Q = p - 1; while (!(Q & 1)) { S++; Q >>= 1; } long long z = 1; while (legendre(z, p) == 1)z++; long long M = S; long long c = modpow(z, Q, p); long long t = modpow(a, Q, p); long long R = modpow(a, (Q + 1) / 2, p); while (t != 1) { for (int i = 1; i < M; i++) { if (modpow(t, 1 << i, p) != 1)continue; long long b = modpow(c, 1 << (M - i - 1), p); M = i; c = b * b % p; t = t * b % p * b % p; R = R * b % p; break; } } return R; } struct DModInt { static int kMod; unsigned x; DModInt() :x(0) {} DModInt(signed x_) { x_ %= kMod; if (x_ < 0)x_ += kMod; x = x_; } DModInt(signed long long x_) { x_ %= kMod; if (x_ < 0)x_ += kMod; x = x_; } int get()const { return (int)x; } DModInt &operator+=(DModInt m) { if ((x += m.x) >= kMod)x -= kMod; return *this; } DModInt &operator-=(DModInt m) { if ((x += kMod - m.x) >= kMod)x -= kMod; return *this; } DModInt &operator*=(DModInt m) { x = (unsigned long long)x*m.x%kMod; return *this; } DModInt &operator/=(DModInt m) { return *this *= m.inverse(); } DModInt operator+(DModInt m)const { return DModInt(*this) += m; } DModInt operator-(DModInt m)const { return DModInt(*this) -= m; } DModInt operator*(DModInt m)const { return DModInt(*this) *= m; } DModInt operator/(DModInt m)const { return DModInt(*this) /= m; } DModInt operator-()const { return DModInt(kMod - x); } bool operator==(DModInt m)const { return x == m.x; } bool operator!=(DModInt m)const { return x != m.x; } DModInt inverse()const { signed a = x, b = kMod, u = 1, v = 0; while (b) { signed t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } if (u < 0)u += kMod; return DModInt(u); } }; int DModInt::kMod = MOD; ostream &operator<<(ostream &os, const DModInt &m) { return os << m.x; } istream &operator>>(istream &is, DModInt &m) { signed long long s; is >> s; m = DModInt(s); return is; }; DModInt pow(DModInt a, unsigned long long k) { DModInt r = 1; while (k) { if (k & 1)r *= a; a *= a; k >>= 1; } return r; } using mint = DModInt; signed main() { cin.tie(0); ios::sync_with_stdio(false); int p, r, q; cin >> p >> r >> q; mint::kMod = p; rep(_, 0, q) { mint a, b, c; cin >> a >> b >> c; mint A = (b*b / 4 / a - c) / a; int X = modsqrt(A.get(), p); if (X == -1) { cout << X << endl; } else { mint x = (mint(X) - b * modinv(2, p) / a); mint y = (mint(-X) - b * modinv(2, p) / a); if (x.get() > y.get())swap(x, y); if (X == 0) cout << x << endl; else cout << x << " " << y << endl; } } return 0; }