#include #include #include #define REP(i,s,n) for(int i=(int)(s);i<(int)(n);i++) using namespace std; const int N = 11; const int B = 100001; double memo[N][N][B]; /* 0.01 <= z <= 100 */ double lambert_W(double z) { double lo = 0.0, hi = 100; REP(i, 0, 45) { if (hi - lo <= 5e-12) { break; } double mid = (lo + hi) / 2; if (mid * exp(mid) <= z) { lo = mid; } else { hi = mid; } } return lo; } double solve(int a, int b, double t) { int idx = floor(t * 10000 + 0.5); if (memo[a][b][idx] >= 0) { return memo[a][b][idx]; } double &ret = memo[a][b][idx]; if (b == 0) { return ret=pow(t, 1.0 / a); } if (a == 0) { return ret=exp(pow(t, 1.0 / b)); } double res = lambert_W(pow(t, 1.0 / b) * a / b); return ret=exp(res * b / a); } int main(void){ int m; scanf("%d", &m); REP(i, 0, N) { REP(j, 0, N) { REP(k, 0, B) { memo[i][j][k] = -1; } } } REP(i, 0, m) { int a, b; double t; scanf("%d%d%lf", &a, &b, &t); printf("%.15f\n", solve(a, b, t)); } }