#include <iostream>
#include <cmath>
#include <tuple>
 
double MakeNumber(double N, std::size_t P) {
	double V = N;
 
	for (std::size_t i = 0; i < P; i++) {
		V = std::pow(V, N);
	}
 
	return V;
}
 
std::tuple<double, std::size_t > CrashNumber(double N,std::size_t P) {
 
	double V = N;
	std::size_t i = 0;
	 while (N >= P){
 
		 N = std::pow(N, 1 / (double)P);
		 i++;
	 }
 
	 return { N,i };
}
 
int main() {
	std::size_t X = 3;
	std::size_t Y = 5;
 
	double N = MakeNumber(X, Y);
 
	double N10;
	std::size_t C = 0;
 
	std::tie(N10,C)	= CrashNumber(N, 10);
 
	std::cout << N <<'('<<X<<','<<Y<<')'<< " -> " << '(' << N10 << ',' << C <<')'<< std::endl;
}

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