#include using namespace std; #define repd(i,a,b) for (ll i=(a);i<(b);i++) #define rep(i,n) repd(i,0,n) #define all(x) (x).begin(),(x).end() template inline bool chmin(T& a, T b) { if (a > b) { a = b; return true; } return false; } template inline bool chmax(T& a, T b) { if (a < b) { a = b; return true; } return false; } typedef long long ll; typedef pair P; typedef vector vec; using Graph = vector>; const long long INF = 1LL<<60; const long long MOD = 1000000007; // auto mod int // https://youtu.be/L8grWxBlIZ4?t=9858 // https://youtu.be/ERZuLAxZffQ?t=4807 : optimize // https://youtu.be/8uowVvQ_-Mo?t=1329 : division int mod = 1000000007; struct mint { ll x; // typedef long long ll; mint(ll x=0):x((x%mod+mod)%mod){} mint operator-() const { return mint(-x);} mint& operator+=(const mint a) { if ((x += a.x) >= mod) x -= mod; return *this; } mint& operator-=(const mint a) { if ((x += mod-a.x) >= mod) x -= mod; return *this; } mint& operator*=(const mint a) { (x *= a.x) %= mod; return *this;} mint operator+(const mint a) const { return mint(*this) += a;} mint operator-(const mint a) const { return mint(*this) -= a;} mint operator*(const mint a) const { return mint(*this) *= a;} mint pow(ll t) const { if (!t) return 1; mint a = pow(t>>1); a *= a; if (t&1) a *= *this; return a; } // for prime mod mint inv() const { return pow(mod-2);} mint& operator/=(const mint a) { return *this *= a.inv();} mint operator/(const mint a) const { return mint(*this) /= a;} }; istream& operator>>(istream& is, mint& a) { return is >> a.x;} ostream& operator<<(ostream& os, const mint& a) { return os << a.x;} int main() { ios::sync_with_stdio(false); cin.tie(0); ll p,r; cin>>mod>>r; ll q;cin>>q; unordered_map mp; mint memo=1; rep(i,50)memo*=r; mint now=1; rep(i,20000000){ now*=memo; if(mp.count(now.x))continue; mp[now.x]=i+1; } rep(qi,q){ ll A,B,C; mint a,b,c; cin>>A>>B>>C; a=A; b=B; c=C; b/=a; c/=a; mint x=b; x*=b; x/=4; x-=c; if(x.x==0){ mint ans=0; ans-=b/2; cout< xs; rep(i,ans.size()){ mint g=mint(r).pow(ans[i]); g-=b/2; xs[g.x]=1; } if(xs.size()==0){ cout<<-1<<'\n'; continue; } for(auto[X,_]:xs){ cout<