#include <bits/stdc++.h>
using namespace std;

int64_t power(int64_t n, int64_t k, int64_t mod) {
    if (k == 0) return 1;
    int64_t res = power(n * n % mod, k / 2, mod);
    if (k % 2) {
        res = res * n % mod;
    }
    return res;
}

int solve(int n) {
    constexpr int64_t sz = 50000;
    int64_t mod = 2 * n - 1;
    map<int64_t, int> v;
    int64_t x = 1;
    for (int i = 1; i <= sz; i++) {
        x = 2 * x % mod;
        if (x == 1) return i;
        v[x] = i;
    }
    int64_t m = power(x, mod - 2, mod), y = 1;
    for (int i = 1; i <= sz; i++) {
        y = y * m % mod;
        if (v[y]) {
            return sz * i + v[y];
        }
    }
    return -1;
}

int main() {
    int t;
    cin >> t;
    for (int i = 0; i < t; i++) {
        int n;
        cin >> n;
        cout << solve(n) << endl;
    }
}