#include #include using namespace std; using namespace atcoder; #define overload4(_1, _2, _3, _4, name, ...) name #define rep1(n) for(int i = 0; i < (int)(n); ++i) #define rep2(i, n) for(int i = 0; i < (int)(n); ++i) #define rep3(i, a, b) for(int i = (a); i < (int)(b); ++i) #define rep4(i, a, b, c) for(int i = (a); i < (int)(b); i += (c)) #define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__) #define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; --i) #define ALL(a) a.begin(), a.end() #define Sort(a) sort(a.begin(), a.end()) #define RSort(a) sort(a.rbegin(), a.rend()) typedef long long int ll; typedef unsigned long long ul; typedef long double ld; typedef vector vi; typedef vector vll; typedef vector vc; typedef vector vst; typedef vector vd; typedef vector vld; typedef pair P; template long long sum(const T& a){ return accumulate(a.begin(), a.end(), 0LL); } template auto min(const T& a){ return *min_element(a.begin(), a.end()); } template auto max(const T& a){ return *max_element(a.begin(), a.end()); } const long long MINF = 0x7fffffffffff; const long long INF = 0x1fffffffffffffff; const long long MOD = 1000000007; const long double EPS = 1e-9; const long double PI = acos(-1); template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } template istream &operator>>(istream &is, pair &p){ is >> p.first >> p.second; return is; } template ostream &operator<<(ostream &os, const pair &p){ os << "(" << p.first << ", " << p.second << ")"; return os; } template istream &operator>>(istream &is, vector &v){ for(T &in : v) is >> in; return is; } template ostream &operator<<(ostream &os, const vector &v){ for(int i = 0; i < (int) v.size(); ++i){ os << v[i] << (i + 1 != (int) v.size() ? " " : ""); } return os; } template ostream &operator<<(ostream &os, const map &mp){ for(auto &[key, val] : mp){ os << key << ":" << val << " "; } return os; } template ostream &operator<<(ostream &os, const set &st){ auto itr = st.begin(); for(int i = 0; i < (int)st.size(); ++i){ os << *itr << (i + 1 != (int)st.size() ? " " : ""); itr++; } return os; } template ostream &operator<<(ostream &os, const multiset &st){ auto itr = st.begin(); for(int i = 0; i < (int)st.size(); ++i){ os << *itr << (i + 1 != (int)st.size() ? " " : ""); itr++; } return os; } template ostream &operator<<(ostream &os, queue q){ while(q.size()){ os << q.front() << " "; q.pop(); } return os; } template ostream &operator<<(ostream &os, deque q){ while(q.size()){ os << q.front() << " "; q.pop_front(); } return os; } template ostream &operator<<(ostream &os, stack st){ while(st.size()){ os << st.top() << " "; st.pop(); } return os; } template ostream &operator<<(ostream &os, priority_queue pq){ while(pq.size()){ os << pq.top() << " "; pq.pop(); } return os; } template inline T vin(T& vec, U n) { vec.resize(n); for(int i = 0; i < (int) n; ++i) cin >> vec[i]; return vec; } template inline void vout(T vec, string s = "\n"){ for(auto x : vec) cout << x << s; } template void in(T&... a){ (cin >> ... >> a); } void out(){ cout << '\n'; } template void out(const T& a, const Ts&... b){ cout << a; (cout << ... << (cout << ' ', b)); cout << '\n'; } template void inGraph(vector>& G, U n, U m, bool directed = false){ G.resize(n); for(int i = 0; i < m; ++i){ int a, b; cin >> a >> b; a--, b--; G[a].push_back(b); if(!directed) G[b].push_back(a); } } template struct BinaryTrie{ struct Node{ Node *nxt[2]; int exist; vector accept; Node() {} }; Node *pool; int pid; T lazy; Node *nil; Node *root; BinaryTrie() : pid(0), lazy(0), nil(nullptr){ pool = new Node[NODES]; nil = _new(); nil->nxt[0] = nil->nxt[1] = root = nil; } Node *_new(const int &exist_ = 0, const int &id = -1){ pool[pid].nxt[0] = pool[pid].nxt[1] = nil; pool[pid].exist = exist_; if(id != -1) pool[pid].accept.push_back(id); return &(pool[pid++]); } Node *merge(Node *l, Node *r){ pool[pid].nxt[0] = l; pool[pid].nxt[1] = r; pool[pid].exist = l->exist + r->exist; return &(pool[pid++]); } private: Node *insert_(const T &x, const int &id, Node *n, const int &bit_idx){ if(bit_idx == -1) { if(n == nil){ return _new(1, id); } n->exist++; n->accept.push_back(id); return n; } if(((lazy >> bit_idx) & 1) == ((x >> bit_idx) & 1)){ return merge(insert_(x, id, n->nxt[0], bit_idx - 1), n->nxt[1]); }else{ return merge(n->nxt[0], insert_(x, id, n->nxt[1], bit_idx - 1)); } } Node *erase_(const T &x, const int &id, Node *n, const int &bit_idx){ if(bit_idx == -1){ n->exist--; return n; } if(((lazy >> bit_idx) & 1) == ((x >> bit_idx) & 1)){ return merge(erase_(x, id, n->nxt[0], bit_idx - 1), n->nxt[1]); }else{ return merge(n->nxt[0], erase_(x, id, n->nxt[1], bit_idx - 1)); } } pair&> find_(const T &x, Node *n, const int &bit_idx){ if(bit_idx == -1){ return pair&>(n->exist, n->accept); } if(((lazy >> bit_idx) & 1) == ((x >> bit_idx) & 1)){ return find_(x, n->nxt[0], bit_idx - 1); }else{ return find_(x, n->nxt[1], bit_idx - 1); } } pair&> max_element_(Node *n, const int &bit_idx) { if(bit_idx == -1){ return pair&>(0, n->accept); } if(n->nxt[~(lazy >> bit_idx) & 1]->exist){ auto ret = max_element_(n->nxt[~(lazy >> bit_idx) & 1], bit_idx - 1); ret.first |= T(1) << bit_idx; return ret; } return max_element_(n->nxt[(lazy >> bit_idx) & 1], bit_idx - 1); } pair&> min_element_(Node *n, const int &bit_idx){ if(bit_idx == -1){ return pair&>(0, n->accept); } if(n->nxt[(lazy >> bit_idx) & 1]->exist){ return min_element_(n->nxt[(lazy >> bit_idx) & 1], bit_idx - 1); } auto ret = min_element_(n->nxt[~(lazy >> bit_idx) & 1], bit_idx - 1); ret.first |= T(1) << bit_idx; return ret; } pair&> kth_element_(Node *n, const int &k, const int &bit_idx){ if(bit_idx == -1){ return pair&>(0, n->accept); } int ex0 = n->nxt[(lazy >> bit_idx) & 1]->exist; if(ex0 < k){ auto ret = kth_element_(n->nxt[~(lazy >> bit_idx) & 1], k - ex0, bit_idx - 1); ret.first |= T(1) << bit_idx; return ret; } return kth_element_(n->nxt[(lazy >> bit_idx) & 1], k, bit_idx - 1); } int count_less_(Node *n, const T &x, const int &bit_idx) { if(bit_idx == -1){ return 0; } int ret = 0; bool f = (lazy >> bit_idx) & 1; if((x >> bit_idx & 1) && n->nxt[f]){ ret += n->nxt[f]->exist; } if(n->nxt[f ^ (x >> bit_idx & 1)]){ ret += count_less_(n->nxt[f ^ (x >> bit_idx & 1)], x, bit_idx - 1); } return ret; } public: void insert(const T &x, const int &id = -1){ root = insert_(x, id, root, MAX_LOG); } void erase(const T &x, const int &id = -1){ root = erase_(x, id, root, MAX_LOG); } pair&> find(const T &x){ return find_(x, root, MAX_LOG); } pair&> max_element(){ return max_element_(root, MAX_LOG); } pair&> min_element(){ return min_element_(root, MAX_LOG); } pair&> kth_element(const int &k){ return kth_element_(root, k, MAX_LOG); } int count_less(const T &x){ return count_less_(root, x, MAX_LOG); } size_t size() const { if(root->exist <= 0){ return 0; } return root->exist; } bool empty() const { return size() == 0; } void operate_xor(const T &x){ lazy ^= x; } }; ll t; void input(){ in(t); } void solve(){ BinaryTrie bt, bt2; while(t--){ ll n; in(n); vst x, y; vin(x, n); vin(y, n - 1); vll s; vin(s, n - 1); vll a(n); rep(i, n){ if(x[i] == "True") a[i] = 1; else a[i] = 0; bt.insert(i); } rep(i, n - 1) bt2.insert(i); rep(i, n - 1){ ll l = bt.kth_element(s[i]).first, r = bt.kth_element(s[i] + 1).first; ll opi = bt2.kth_element(s[i]).first; string op = y[opi]; // out(l, r, opi); bt.erase(l); bt2.erase(opi); if(op == "and"){ a[r] = a[l] & a[r]; }else if(op == "or"){ a[r] = a[l] | a[r]; }else if(op == "xor"){ a[r] = a[l] ^ a[r]; }else{ if(a[l] == 0){ a[r] = 1; } } } ll idx = bt.kth_element(1).first; if(a[idx]){ out("True"); }else{ out("False"); } bt.erase(idx); } } int main(){ ios::sync_with_stdio(false); cin.tie(nullptr); cout << fixed << setprecision(20); input(); solve(); }