#pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; //#define int long long typedef long long ll; typedef unsigned long long ul; typedef unsigned int ui; constexpr ll mod = 1000000007; const ll INF = mod * mod; typedef pairP; #define rep(i,n) for(int i=0;i=0;i--) #define Rep(i,sta,n) for(int i=sta;i=1;i--) #define Rep1(i,sta,n) for(int i=sta;i<=n;i++) #define all(v) (v).begin(),(v).end() typedef pair LP; typedef double ld; typedef pair LDP; const ld eps = 1e-4; const ld pi = acosl(-1.0); template void chmin(T& a, T b) { a = min(a, b); } template void chmax(T& a, T b) { a = max(a, b); } template void cinarray(vector& v) { rep(i, v.size())cin >> v[i]; } template void coutarray(vector& v) { rep(i, v.size()) { if (i > 0)cout << " "; cout << v[i]; } cout << "\n"; } ll mod_pow(ll x, ll n, ll m = mod) { if (n < 0) { ll res = mod_pow(x, -n, m); return mod_pow(res, m - 2, m); } if (abs(x) >= m)x %= m; if (x < 0)x += m; if (x == 0)return 0; ll res = 1; while (n) { if (n & 1)res = res * x % m; x = x * x % m; n >>= 1; } return res; } struct modint { int n; modint() :n(0) { ; } modint(ll m) { if (m < 0 || mod <= m) { m %= mod; if (m < 0)m += mod; } n = m; } operator int() { return n; } }; bool operator==(modint a, modint b) { return a.n == b.n; } modint operator+=(modint& a, modint b) { a.n += b.n; if (a.n >= mod)a.n -= mod; return a; } modint operator-=(modint& a, modint b) { a.n -= b.n; if (a.n < 0)a.n += mod; return a; } modint operator*=(modint& a, modint b) { a.n = ((ll)a.n * b.n) % mod; return a; } modint operator+(modint a, modint b) { return a += b; } modint operator-(modint a, modint b) { return a -= b; } modint operator*(modint a, modint b) { return a *= b; } modint operator^(modint a, ll n) { if (n == 0)return modint(1); modint res = (a * a) ^ (n / 2); if (n % 2)res = res * a; return res; } ll inv(ll a, ll p) { return (a == 1 ? 1 : (1 - p * inv(p % a, a)) / a + p); } modint operator/(modint a, modint b) { return a * modint(inv(b, mod)); } modint operator/=(modint& a, modint b) { a = a / b; return a; } const int max_n = 1 << 20; modint fact[max_n], factinv[max_n]; void init_f() { fact[0] = modint(1); for (int i = 0; i < max_n - 1; i++) { fact[i + 1] = fact[i] * modint(i + 1); } factinv[max_n - 1] = modint(1) / fact[max_n - 1]; for (int i = max_n - 2; i >= 0; i--) { factinv[i] = factinv[i + 1] * modint(i + 1); } } modint comb(int a, int b) { if (a < 0 || b < 0 || a < b)return 0; return fact[a] * factinv[b] * factinv[a - b]; } modint combP(int a, int b) { if (a < 0 || b < 0 || a < b)return 0; return fact[a] * factinv[a - b]; } ll gcd(ll a, ll b) { a = abs(a); b = abs(b); if (a < b)swap(a, b); while (b) { ll r = a % b; a = b; b = r; } return a; } int dx[4] = { 1,0,-1,0 }; int dy[4] = { 0,1,0,-1 }; struct Node { Node* ch[2]; int l, r; int val, lazy; Node(int _l,int _r) { ch[0] = ch[1] = NULL; l = _l, r = _r; val = 0; lazy = -mod; } }; int h(int a, int b) { if (a > mod / 2)return a; if (b == -mod)return a; return a + b; } void eval(Node* nd) { if (nd->lazy == -mod)return; if (nd->lazy>mod/2) { nd->val = nd->lazy-mod; } else { nd->val += nd->lazy; } if (nd->l + 1 < nd->r) { if (nd->ch[0] == NULL)nd->ch[0] = new Node(nd->l, (nd->l + nd->r) / 2); if (nd->ch[1] == NULL)nd->ch[1] = new Node((nd->l + nd->r) / 2, nd->r); rep(j, 2)nd->ch[j]->lazy = h(nd->lazy, nd->ch[j]->lazy); } nd->lazy = -mod; } void add(Node* nd,int val,int a,int b) { if (nd->r <= a || b <= nd->l)return; eval(nd); if (a <= nd->l && nd->r <= b) { nd->lazy = h(val, nd->lazy); eval(nd); } else { if (nd->ch[0] == NULL)nd->ch[0] = new Node(nd->l, (nd->l + nd->r) / 2); if (nd->ch[1] == NULL)nd->ch[1] = new Node((nd->l + nd->r) / 2, nd->r); rep(j, 2)add(nd->ch[j], val, a, b); nd->val = min(nd->ch[0]->val, nd->ch[1]->val); } } int find0(Node* nd) { eval(nd); if (nd->val > 0)return (1 << 30); rep(_, 30) { eval(nd->ch[0]); eval(nd->ch[1]); if (nd->ch[0]->val <= 0)nd = nd->ch[0]; else nd = nd->ch[1]; } return nd->l; } void solve() { int n; cin >> n; vector b(n); rep(i, n)cin >> b[i]; vector a(n); Node* nd = new Node(0, (1 << 30)); a[0] = b[0]; vector ans(n); ans[0] = a[0]; add(nd, 1, 0, a[0] + 1); add(nd, -1, a[0] + 1, (1 << 30)); for (int i = 1; i < n; i++) { a[i] = ans[i - 1] ^ b[i]; add(nd, 1, 0, a[i] + 1); add(nd, -1, a[i] + 1, (1 << 30)); int loc = find0(nd); if (loc <= a[i])add(nd, mod + 1, loc, a[i] + 1); ans[i] = max(loc - 1, a[i]); } rep(i, n)cout << ans[i] << "\n"; } signed main() { ios::sync_with_stdio(false); cin.tie(0); //cout << fixed << setprecision(8); //init_f(); //init(); //while(true) //expr(); //init(); //int t; cin >> t; rep(i, t) solve(); return 0; }