#include <bits/stdc++.h>

using namespace std;

int main()
{
    long long t; // number of test cases
    cin >> t;
    while (t-- > 0)
    {
        long long x;      // number
        long long a = -1; // a + a+1 + a+2 +.....+ a+n = x
        long long s1 = 1; // 1+2+3+...+n
        long long s2 = 0; // 1+1+1+2+...+1+n (a==1 wcs)
        long long sh = 2; // help at calculating s1
        cin >> x;
        for (long long i = 2; s2 <= x; i++) // looking for < a >
        {
            if ((x - s1) % i == 0)
            {
                cout << "x=" << x << " "   // value of x
                     << "s1=" << s1 << " " // value of s1
                     << "i=" << i << '\n'; // value of i
                a = (x - s1) % i == 0;
                cout << a << '\n';
                break;
            }
            s2 += 1 + s1;

            s1 += sh;
            sh += 1;
        }
        cout << a << endl;
        if (a == -1)
        {
            cout << "IMPOSSIBLE" << '\n';
            continue;
        }
        cout << a << endl;
    }
    return 0;
}