#include #include #include using namespace std; int curr_sum, best_len; vector divisors, curr, best_ans; int maxsteps = 0; int steps = 0; void rec(int P) { steps++; if (P == 1) { int len = curr.size() + (41 - curr_sum); if (len < best_len) { best_len = len; best_ans = curr; } return; } for (int d : divisors) { if (P % d == 0 && curr_sum + d <= 41) { curr.push_back(d); curr_sum += d; rec(P / d); curr_sum -= d; curr.pop_back(); } } } void solve() { int P; cin >> P; if (P == 1) { best_ans.assign(41, 1); } else { divisors.clear(); // Precompute all divisors. for (int i = 2; i <= 41; i++) { if (P % i == 0) { divisors.push_back(i); } } curr.clear(); steps = 0; curr_sum = 0; best_ans.clear(); best_len = (int)1e9; rec(P); if (steps > maxsteps) { maxsteps = steps; cerr << P << endl; } } if (!best_ans.empty()) { int best_sum = accumulate(best_ans.begin(), best_ans.end(), 0); for (; best_sum < 41; best_sum++) { best_ans.push_back(1); } cout << " " << best_ans.size(); for (int f : best_ans) { cout << " " << f; } } else { cout << " -1"; } } int main() { int T; cin >> T; for (int t = 1; t <= T; t++) { cout << "Case #" << t << ":"; solve(); cout << endl; } cerr << maxsteps; return 0; }