/* Problem URL: https://codeforces.com/contest/2211/problem/D */ #include #include #include using namespace std; using namespace __gnu_pbds; template > using ordered_set = tree; #define V vector #define rmin(a, b) a = min(a, b) #define rmax(a, b) a = max(a, b) #define rep(i, lim) for (int i = 0; i < (lim); i++) #define nrep(i, s, lim) for (int i = s; i < (lim); i++) #define repv(i, v) for (auto &i : (v)) #define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; } #define sortv(v) sort(v.begin(), v.end()) #define all(v) (v).begin(), (v).end() using vi = vector; using vvi = vector; using vvvi = vector; using vvvvi = vector; using ll = long long; using vl = vector; using vvl = vector; using vvvl = vector; using vvvvl = vector; template auto operator<<(ostream &os, const vector &vec)->ostream& { os << vec[0]; for (size_t i = 1; i < vec.size(); i++) { os << ' ' << vec[i]; } os << '\n'; return os; } template auto operator>>(istream &is, vector &vec)->istream& { for (auto &i : vec) { is >> i; } return is; } template auto operator<<(ostream &os, const vector> &vec)->ostream& { for (auto &i : vec) { os << i[0]; for (size_t j = 1; j < i.size(); j++) { os << ' ' << i[j]; } os << '\n'; } return os; } template auto operator>>(istream &is, vector> &vec)->istream& { for (auto &i : vec) { for (auto &j : i) { is >> j; } } return is; } const int oo = INT32_MAX >> 1; const ll OO = INT64_MAX >> 1; const ll mod = 1e9 + 7; constexpr int MAXN = 2e5; ll fact[MAXN]; ll inv[MAXN]; ll finv[MAXN]; void pre() { fact[0] = 1; nrep(i, 1, MAXN) { fact[i] = fact[i - 1] * i % mod; } inv[1] = 1; nrep(i, 2, MAXN) { inv[i] = (mod - mod / i) * inv[mod % i] % mod; } finv[0] = 1; nrep(i, 1, MAXN) { finv[i] = finv[i - 1] * inv[i] % mod; } } ll comb(ll n, ll k) { return fact[n] * finv[k] % mod * finv[n - k] % mod; } #define TEST 1 void solve() { int n; cin >> n; vl b(n); cin >> b; reverse(all(b)); vl ans(n); rep(i, n) { rep(j, 29) { if (((b[i] >> j) & 1) == 0) { continue; } nrep(k, i, n) { ans[k] |= 1 << j; } nrep(k, i + 1, n) { b[k] -= (1LL << j) * comb(n - i, n - k); b[k] = (b[k] % mod + mod) % mod; } } } cout << ans; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); pre(); int t; (TEST && cin >> t) || (t = 1); while (t--) { solve(); } }