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#include <stdio.h>
#include <iostream>
#include <vector>
#include <iterator>
#include <math.h>

void print(std::vector<int> data);
std::string result;
int onesCounter;

std::vector<int> getComponents(int k)
{
	std::vector<int> czynniki;
	int i=0,d,maxd=31623;

    for(d = 2; d <= maxd; d++)
      while((k % d) == 0)
      {
		  czynniki.push_back(d);
		  k /= d;
      };
	if (k!=1)
		czynniki.push_back(k);

	return czynniki;
}

void printOne(int n)
{
	if (n<6)
	{
		result += "(1"; onesCounter++;
		for (int i=1;i<n;i++)
		{
			result += "+1"; onesCounter++;
		}
		result += ")";
	}
	else
	{
		std::vector<int> czynniki = getComponents(n-1);
		result += "(1+";onesCounter++;
		print(czynniki);
		result += ")";

	}
}

void print(std::vector<int> data)
{
	printOne(data[0]);
	if (data.size()==1)
		return;

	for (int i=1;i<data.size();i++)
	{
		result += "*";
		printOne(data[i]);
	}
}


void solve(int k)
{
	result = ""; onesCounter = 0;

	if (k==1)
	{
		result += "1";
		std::cout << "1" << std::endl;
		return;
	}

	std::vector<int> czynniki = getComponents(k);

	print(czynniki);	
	if (onesCounter<=100)
	{
		std::cout << result.c_str();
		//std::cout << onesCounter;
	}
	else
		std::cout << "NIE";

	std::cout << std::endl;
}

int main()
{
	//solve(418195493);
	int t,k;
	std::cin >> t;

	for (int i=0;i<t;i++) 
	{
		std::cin >> k;
		solve(k);
	}

	return 0;
}