#include using namespace std; #pragma GCC target("avx2") #pragma GCC optimize("Ofast") #pragma GCC optimize("unroll-loops") #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native") #define rep(i,n) for(ll i=0;i=0;i--) #define perl(i,r,l) for(ll i=r-1;i>=l;i--) #define fi first #define se second #define pb push_back #define ins insert #define pqueue(x) priority_queue,greater> #define all(x) (x).begin(),(x).end() #define CST(x) cout<> #define rev(x) reverse(x); using ll=long long; using vl=vector; using vvl=vector>; using pl=pair; using vpl=vector; using vvpl=vector; const ll MOD=1000000007; const ll MOD9=998244353; const int inf=1e9+10; const ll INF=4e18; const ll dy[9]={0,1,-1,0,1,1,-1,-1,0}; const ll dx[9]={1,0,0,-1,1,-1,1,-1,0}; template inline bool chmin(T& a, T b) { if (a > b) { a = b; return true; } return false; } template inline bool chmax(T& a, T b) { if (a < b) { a = b; return true; } return false; } int main(){ ll m;cin >> m; using ld=double; CST(11); ios::sync_with_stdio(false); std::cin.tie(nullptr); while(m--){ ll a,b;cin >> a >> b; ld t;cin >> t; if(b==0){ cout << pow(t,1.0/a) << endl; continue; } auto fx=[&](ld x)->ld{ return pow(x,a)*pow(log(x),b)-t; }; auto dfx=[&](ld x)->ld{ if(a>0&&b>0){ return pow(x,a-1)*pow(log(x),b-1)*(log(x)*a+b); } else{ return pow(log(x),b-1)*b/x; } }; ld ans=2; rep(_,18){ ans=ans-fx(ans)/dfx(ans); //cout << ans << endl; } cout << ans << endl; } }