F

#include<iostream>
#include<vector>
#include <functional>
#include<string>
#include<algorithm>
#include <tuple>
#include<random>
#include <iomanip>
#include<set>
#define pr pair<int,int>
using namespace std;
using ll = unsigned long   long;
pr cokr(pr t) {
    while (t.first % 2 == 0 && t.second % 2 == 0) {
        t.first /= 2;
        t.second /= 2;
    }
    return t;
}
pr vvod(string s) {
    int i = 0;
    string u = "", u1 = "";
    while (s[i] != '/') {
        u += s[i];
        ++i;
    }
    ++i;
    while (i < s.size()) {
        u1 += s[i];
        ++i;
    }
    return { atoi(u.c_str()),atoi(u1.c_str()) };
}

int main() {
    ios::sync_with_stdio(0);
    cin.tie(0);
    string s;
    int  t, n, x; pr a, b, sum{ 0,0 };
    cin >> s;
    pr d = vvod(s);
    d = cokr(d);
    pr y = d;
    cin >> t;
    vector<vector<pr>>v(t);
    for (int i = 0; i < t; ++i) {
        d = y;
        cin >> n;
        sum = { 0, 1 };
        v[i].reserve(n);
        for (int j = 0; j < n; ++j) {
            cin >> s;
            a = vvod(s);
            if (a.second >= sum.second) {
                sum.first = sum.first * (a.second / sum.second) + a.first;
                sum.second = a.second;
            }
            else {
                a.first = a.first * (sum.second / a.second);
                sum.first += a.first;
            }
        }
        if (sum.second >= d.second) {
            d.first = d.first * (sum.second / d.second);
            d.second = sum.second;
        }
        else
            sum.first = sum.first * (d.second / sum.second);
        d.first -= sum.first;
        d = cokr(d);
        if (d.first == 0)continue;
        else {
            while (1) {
                if (d.first == 1) {
                    v[i].push_back(d);
                    break;
                }
                if (d.first == d.second) {
                    v[i].push_back({ 1,1 });
                    break;
                }
                v[i].push_back({ 1,d.second });
                d = cokr({ d.first - 1,d.second });
            }
        }
    }
    for (auto i : v) {
        cout << i.size() << ' ';
        if (i.size() == 0) {
            cout << '\n';
            continue;
        }
        for (int j = i.size()-1; j >=0;--j) {
            cout << i[j].first << '/' << i[j].second << ' ';
        }
        cout << '\n';
    }
}