#include using namespace std; using ld = double; using P = pair; inline P mul(const P& p1, const P& p2) { return make_pair(p1.first * p2.first - p1.second * p2.second, p1.second * p2.first + p1.first * p2.second); } P power(const P& p, const int n) { if (n == 0) { return make_pair(1, 0); } if (n % 2 == 1) { return mul(power(p, n - 1), p); } else { const P prev = power(p, n / 2); return mul(prev, prev); } } int main() { int N; cin >> N; for (int q = 0; q < N; q++) { int T; cin >> T; ld p, omega, v, gx, gy; cin >> p >> omega >> v >> gx >> gy; P A = make_pair(1 + v, omega); const P gp = power(A, T); gx -= gp.first; gy -= gp.second; const ld l = hypot(1 + v, omega); const ld F = (l == 1 ? T : (pow(l, 2 * T) - 1) / (l * l - 1)); gx /= F; gy /= F; vector

ans(T, make_pair(gx, gy)); for (int i = T - 2; i >= 0; i--) { ans[i] = make_pair(ans[i + 1].first * (1 + v) + ans[i + 1].second * omega, -ans[i + 1].first * omega + ans[i + 1].second * (1 + v)); } for (int i = 0; i < T; i++) { cout << fixed << setprecision(50) << ans[i].first << " " << ans[i].second << endl; } } return 0; }