#include #include typedef long long signed int LL; typedef long long unsigned int LU; #define incID(i, l, r) for(int i = (l) ; i < (r); i++) #define incII(i, l, r) for(int i = (l) ; i <= (r); i++) #define decID(i, l, r) for(int i = (r) - 1; i >= (l); i--) #define decII(i, l, r) for(int i = (r) ; i >= (l); i--) #define inc( i, n) incID(i, 0, n) #define inc1(i, n) incII(i, 1, n) #define dec( i, n) decID(i, 0, n) #define dec1(i, n) decII(i, 1, n) #define inII(v, l, r) ((l) <= (v) && (v) <= (r)) #define inID(v, l, r) ((l) <= (v) && (v) < (r)) template void swap(T & x, T & y) { T t = x; x = y; y = t; return; } template T abs(T x) { return (0 <= x ? x : -x); } template T max(T a, T b) { return (b <= a ? a : b); } template T min(T a, T b) { return (a <= b ? a : b); } template bool setmin(T & a, T b) { if(a <= b) { return false; } else { a = b; return true; } } template bool setmax(T & a, T b) { if(b <= a) { return false; } else { a = b; return true; } } template T gcd(T a, T b) { return (b == 0 ? a : gcd(b, a % b)); } template T lcm(T a, T b) { return a / gcd(a, b) * b; } // ---- ---- int m; int main() { scanf("%d", &m); inc(i, m) { double a, b, t; scanf("%lf%lf%lf", &a, &b, &t); if(a == 0) { printf("%.12f\n", pow(2.718281828459, pow(t, 1.0 / b))); } else if(b == 0) { printf("%.12f\n", pow(t, 1.0 / a)); } else { double n = 2.7; inc(j, 30) { double v = pow(n, a) * pow(log(n), b) - t; double diff = v / (pow(n, a - 1) * (a * pow(log(n), b) + b * pow(log(n), b - 1))); n -= diff; if(abs(diff) < 6e-10) { break; } // printf("%2d %.12f\n", j, n); } printf("%.12f\n", n); } } return 0; }