#include #include #include #define REP(i,s,n) for(int i=(int)(s);i<(int)(n);i++) using namespace std; const int RES = 2048; const int T = 100 * RES + 1; double memo_l[T]; /* 0.01 <= z <= 100 */ double lambert_W(double z, bool advised = true) { double lo = 0.0, hi = 100; int idx = z * RES; if (not advised) { if (log(z) >= 1) { lo = memo_l[idx - 1], hi = log(z); } else { lo = z / 2.719, hi = 1; } } if (advised) { lo = memo_l[idx], hi = memo_l[idx + 1]; } REP(i, 0, 45) { if (hi - lo <= 2e-10) { break; } double mid = (lo + hi) / 2; if (mid * exp(mid) <= z) { lo = mid; } else { hi = mid; } } if (not advised) { memo_l[idx] = lo; } return lo; } double solve(int a, int b, double t) { if (b == 0) { return pow(t, 1.0 / a); } if (a == 0) { return exp(pow(t, 1.0 / b)); } double res = lambert_W(pow(t, 1.0 / b) * a / b); return exp(res * b / a); } int main(void){ int m; scanf("%d", &m); REP(i, 0, T) { lambert_W(i / (double)RES, false); } REP(i, 0, m) { int a, b; double t; scanf("%d%d%lf", &a, &b, &t); printf("%.15f\n", solve(a, b, t)); } }