#include using namespace std; typedef signed long long ll; #undef _P #define _P(...) (void)printf(__VA_ARGS__) #define FOR(x,to) for(x=0;x<(to);x++) #define FORR(x,arr) for(auto& x:arr) #define ITR(x,c) for(__typeof(c.begin()) x=c.begin();x!=c.end();x++) #define ALL(a) (a.begin()),(a.end()) #define ZERO(a) memset(a,0,sizeof(a)) #define MINUS(a) memset(a,0xff,sizeof(a)) //------------------------------------------------------- int Q; int N,M,K; double lfact[1010101]; void solve() { int i,j,k,l,r,x,y; string s; for(i=2;i<=101000;i++) lfact[i]=lfact[i-1]+log(i); cin>>Q; while(Q--) { cin>>N>>M>>K; double F=0,S=0; F=lfact[N]-lfact[K]-lfact[N-K]+lfact[M]; S=N*log(M)+log(N-K+1); if(F