#include #define XX first #define YY second #define pb emplace_back #define FOR(i,a,b) for(int (i)=(a);i<(b);++(i)) #define EFOR(i,a,b) for(int (i)=(a);i<=(b);++(i)) #define rep(X,Y) for (int (X) = 0;(X) < (Y);++(X)) #define REP rep #define rrep(X,Y) for (int (X) = (Y)-1;(X) >=0;--(X)) #define all(X) (X).begin(),(X).end() #define eb emplace_back using namespace std; typedef long long ll; typedef pair pii; typedef pair pll; typedef ll LL; typedef pii PII; typedef pll PLL; const ll MOD=1e9+7; #define rall(X) (X).rbegin(),(X).rend() #define UNIQUE(X) (X).erase(unique(all(X)),(X).end()) #define reps(X,S,Y) for (int (X) = S;(X) < (Y);++(X)) #define rreps(X,S,Y) for (int (X) = (Y)-1;(X) >= (S);--(X)) template inline bool MX(T &l,const T &r){return l inline bool MN(T &l,const T &r){return l>r?l=r,1:0;} int T; using ULL = unsigned long long; ULL xorshift(void) { static ULL x = 123456789; static ULL y = 362436069; static ULL z = 521288629; static ULL w = 88675123; ULL t; t = x ^ (x << 11); x = y; y = z; z = w; return w = (w ^ (w >> 19)) ^ (t ^ (t >> 8)); } LL mypow(LL base, LL exp, LL mod) { if (exp == 0) return 1; LL res = mypow(base*base%mod, exp/2, mod); if (exp%2) res = res*base%mod; return res; } inline ll modinv(ll a, ll m){ ll b = m, u = 1, v = 0; while (b) { ll t = a / b; swap(a -= t * b, b); swap(u -= t * v, v); } return (u % m + m) % m; } void Solve() { LL p, k, a; cin >> p >> k >> a; LL n = 1; while (n*n < 10*p) n++; n *= 2; //n = LL(1e6); unordered_map us; rep(i, n) { LL t = 1 + xorshift() % (p-1); LL tk = mypow(t, k, p); if (tk == a) { cout << t << endl; return; } us[modinv(tk, p)*a%p] = t; if (us.count(tk)) { LL ans = us[tk] * t % p; //assert(mypow(ans, k, p) == a); cout << ans << endl; return; } } cout << "-1\n"; } signed main(){ ios_base::sync_with_stdio(false); cout<> T; while (T--) { Solve(); } }