#include using namespace std; typedef long long ll; typedef int _loop_int; #define __GET_REP_MACRO(_1,_2,_3,NAME,...) NAME #define __REP0(i,n) for(_loop_int i=0;i<(n);++i) #define __REP1(i,a,b) for(_loop_int i=(a);i<(b);++i) #define __REPR0(i,n) for(_loop_int i=(n)-1;i>=0;--i) #define __REPR1(i,a,b) for(_loop_int i=(b)-1;i>=(a);--i) #define REP(...) __GET_REP_MACRO(__VA_ARGS__,__REP1,__REP0)(__VA_ARGS__) #define REPR(...) __GET_REP_MACRO(__VA_ARGS__,__REPR1,__REPR0)(__VA_ARGS__) #ifdef BURI #define __DEBUG0() "Hello" #define __DEBUG1(x) #x"("<<(x)<<")" #define __DEBUG2(x,...) #x"("<<(x)<<"), " __DEBUG1(__VA_ARGS__) #define __DEBUG3(x,...) #x"("<<(x)<<"), " __DEBUG2(__VA_ARGS__) #define __DEBUG4(x,...) #x"("<<(x)<<"), " __DEBUG3(__VA_ARGS__) #define __DEBUG5(x,...) #x"("<<(x)<<"), " __DEBUG4(__VA_ARGS__) #define __GET_DEBUG_MACRO(_1,_2,_3,_4,_5,NAME,...) NAME #define __DEBUG(...) __GET_DEBUG_MACRO(__VA_ARGS__,__DEBUG5,__DEBUG4,__DEBUG3, \ __DEBUG2,__DEBUG1,__DEBUG0)(__VA_ARGS__) #define DEBUG(...) cerr<<__DEBUG(__VA_ARGS__)<'9')); if(c=='-') neg=true; else x=c-'0'; while('0'<=(c=__my_getchar())&&c<='9')x=10*x+(c-'0'); if(neg)x=-x; } inline void read(ll &x){getll(x);} inline void read(int &x){ll y;getll(y);x=y;} inline void read(float &x){scanf("%f",&x);} inline void read(double &x){scanf("%lf",&x);} inline void read(long double &x){scanf("%Lf",&x);} inline void read(char *s){scanf("%s",s);} inline void read(string &s){int len=s.size();char *buf=(char*)malloc(len*sizeof(char));scanf("%s",buf);s=string(buf);free(buf);} inline void read(char &c){char *buf=(char*)malloc(5*sizeof(char));scanf("%s",buf);c=buf[0];free(buf);} inline void read(){} template inline void read(S& first, T&... rest){ read(first); read(rest...); } inline void lambert(double &w, double &z){ // w exp(w) = tt // log w + w - z = 0 // 1/w + w double up = log(w) + w - z; double down = 1.0/w + w; w -= up/down; } int main(){ // x = exp(b/a * W(a/b * pow(t,1/b))) int m; int a,b; double t; read(m); while(m--){ read(a,b,t); if(b==0){ printf("%.9f\n",pow(t,1.0/a)); }else if(a==0){ printf("%.9f\n",exp(pow(t,1.0/b))); }else{ double binv = 1.0/b; double a_b = binv*a; double tt = a_b * pow(t,binv); // lambert w function iteration double logt = log(tt); double w = logt; lambert(w,logt); lambert(w,logt); lambert(w,logt); lambert(w,logt); lambert(w,logt); printf("%.9f\n",exp(w / a_b)); } } return 0; }