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#include <iostream>
#include <list>
#include <map>

struct Expr
{
    std::string render = "";
    std::uint_fast32_t ones = 0;
};

class Calculator
{
    public:
        Calculator()
        {
            Expr one;
            one.render = "1";
            one.ones = 1; // Naprawdę nie powinienem musieć tego robić.
            exprs[1] = one;
        }
        Expr getExpr(std::uint_fast32_t in)
        {
            auto find = exprs.find(in);
            if (find != exprs.end())
            {
                return find->second;
            }
            else
            {
                Expr ret;
                while (in % 2 == 0)
                {
                    in /= 2;
                    modPrimeExpr(2, ret);
                }
                for (std::uint_fast32_t d = 3; in != 1; d += 2)
                {
                    while (in % d == 0)
                    {
                        in /= d;
                        modPrimeExpr(d, ret);
                    }
                }
                exprs.insert({in, ret});
                return ret;
            }
        }

    private:
        void modPrimeExpr(std::uint_fast32_t in, Expr &current)
        {
            bool first = current.ones == 0;
            if (!first)
            {
                current.render.insert(0, 1, '(');
                current.render += '*';
            }
            auto find = exprs.find(in);
            if (find != exprs.end())
            {
                current.render += find->second.render;
                current.ones += find->second.ones;
            }
            else
            {
                Expr prime = getExpr(in - 1);
                prime.render.insert(0, 1, '(');
                prime.render += "+1)";
                prime.ones++;
                exprs.insert({in, prime});
                current.render += prime.render;
                current.ones += prime.ones;
            }
            if (!first)
            {
                current.render += ')';
            }
        }

    private:
        std::map<std::uint_fast32_t, Expr> exprs;
};

int main()
{
    std::ios_base::sync_with_stdio(false);
    Calculator calc;
    std::uint_fast16_t t;
    std::cin >> t;
    for (std::uint_fast16_t i = 0; i < t; i++)
    {
        std::uint_fast32_t k_i;
        std::cin >> k_i;
        Expr out = calc.getExpr(k_i);
        if (out.ones > 100)
        {
            std::cout << "NIE\n";
        }
        else
        {
            std::cout << out.render << "\n";
        }
    }
}