#include <bits/stdc++.h>
using namespace std;
int n;
template<typename T>
    void write(T x) {
        if (x < 0) putchar('-'), x = -x;
        if (x > 9) write(x / 10);
        putchar(x % 10 + '0');
    }

template<class T>
struct Frac {
    T num;
    T den;
    Frac(T num_, T den_) : num(num_), den(den_) {
        if (den < 0) {
            den = -den;
            num = -num;
        }
    }
    Frac() : Frac(0, 1) {}
    Frac(T num_) : Frac(num_, 1) {}
    // 输出 double value = static_cast<double>(*Frac);  
    explicit operator double() const {
        return 1. * num / den;
    }
    Frac &operator+=(const Frac &rhs) {
        num = num * rhs.den + rhs.num * den;
        den *= rhs.den;
        return *this;
    }
    Frac &operator-=(const Frac &rhs) {
        num = num * rhs.den - rhs.num * den;
        den *= rhs.den;
        return *this;
    }
    Frac &operator*=(const Frac &rhs) {
        num *= rhs.num;
        den *= rhs.den;
        return *this;
    }
    Frac &operator/=(const Frac &rhs) {
        num *= rhs.den;
        den *= rhs.num;
        if (den < 0) {
            num = -num;
            den = -den;
        }
        return *this;
    }
    friend Frac operator+(Frac lhs, const Frac &rhs) {
        return lhs += rhs;
    }
    friend Frac operator-(Frac lhs, const Frac &rhs) {
        return lhs -= rhs;
    }
    friend Frac operator*(Frac lhs, const Frac &rhs) {
        return lhs *= rhs;
    }
    friend Frac operator/(Frac lhs, const Frac &rhs) {
        return lhs /= rhs;
    }
    friend Frac operator-(const Frac &a) {
        return Frac(-a.num, a.den);
    }
    friend bool operator==(const Frac &lhs, const Frac &rhs) {
        return lhs.num * rhs.den == rhs.num * lhs.den;
    }
    friend bool operator!=(const Frac &lhs, const Frac &rhs) {
        return lhs.num * rhs.den != rhs.num * lhs.den;
    }
    friend bool operator<(const Frac &lhs, const Frac &rhs) {
        return lhs.num * rhs.den < rhs.num * lhs.den;
    }
    friend bool operator>(const Frac &lhs, const Frac &rhs) {
        return lhs.num * rhs.den > rhs.num * lhs.den;
    }
    friend bool operator<=(const Frac &lhs, const Frac &rhs) {
        return lhs.num * rhs.den <= rhs.num * lhs.den;
    }
    friend bool operator>=(const Frac &lhs, const Frac &rhs) {
        return lhs.num * rhs.den >= rhs.num * lhs.den;
    }
};

__int128 S(long long x) { return (__int128)(x + 1) * x / 2; }

Frac<__int128> f(int limit)
{
    __int128 s = S(limit);
    Frac<__int128> ans = { (s + n) * (n - limit) + s * limit , (__int128)n * limit};
    return ans;
}


void solve()
{
    cin >> n;
    int l = 1 , r = n;
    while(r - l >= 3)
    {
        int lmid = l + (r - l) / 3;
        int rmid = r - (r - l) / 3;
        if(f(lmid) <= f(rmid)) r = rmid;
        else l = lmid;
    } 
    int ans = l;
    if(f(ans) > f(l+1)) ans = l+1;
    if(f(ans) > f(r)) ans = r;
    Frac now = f(ans);
    __int128 d = gcd(now.num , now.den);
    now.num /= d; now.den /= d;
    write(now.num); putchar(' '); write(now.den); putchar('\n');
}

int main()
{
    ios::sync_with_stdio(false); 
    cin.tie(nullptr);
    int T = 1;
    cin >> T;
    while(T--) solve();
    return 0;
}

In file included from /usr/include/x86_64-linux-gnu/c++/13/bits/stdc++.h:58,
                 from answer.code:1:
/usr/include/c++/13/numeric: In instantiation of ‘constexpr std::common_type_t<_Tp1, _Tp2> std::gcd(_Mn, _Nn) [with _Mn = __int128; _Nn = __int128; common_type_t<_Tp1, _Tp2> = __int128]’:
answer.code:111:21:   required from here
/usr/include/c++/13/numeric:166:21: error: static assertion failed: std::gcd arguments must be integers
  166 |       static_assert(is_integral_v<_Mn> && is_integral_v<_Nn>,
      |                     ^~~~~~~~~~~~~~~~~~
/usr/include/c++/13/numeric:166:21: note: ‘std::is_integral_v<__int128>’ evaluates to false
In file included from /usr/include/c++/13/bits/stl_pair.h:60,
                 from /usr/include/c++/13/bits/stl_algobase.h:64,
                 from /usr/include/c++/13/algorithm:60,
                 from /usr/include/x86_64-linux-gnu/c++/13/bits/stdc++.h:51:
/usr/include/c++/13/type_traits: In instantiation of ‘struct std::make_unsigned<__int128>’:
/usr/include/c++/13/type_traits:1983:11:   required by substitution of ‘template<class _Tp> using std::make_unsigned_t = typename std::make_unsigned::type [with _Tp = __int128]’
/usr/include/c++/13/numeric:173:24:   required from ‘constexpr std::common_type_t<_Tp1, _Tp2> std::gcd(_Mn, _Nn) [with _Mn = __int128; _Nn = __int128; common_type_t<_Tp1, _Tp2> = __int128]’
answer.code:111:21:   required from here
/usr/include/c++/13/type_traits:1836:62: error: invalid use of incomplete type ‘class std::__make_unsigned_selector<__int128, false, false>’
 1836 |     { typedef typename __make_unsigned_selector<_Tp>::__type type; };
      |                                                              ^~~~
/usr/include/c++/13/type_traits:1744:11: note: declaration of ‘class std::__make_unsigned_selector<__int128, false, false>’
 1744 |     class __make_unsigned_selector;
      |           ^~~~~~~~~~~~~~~~~~~~~~~~