#include #include #pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #define SELECTER(_1,_2,_3,SELECT,...) SELECT #define rep1(i,n) for(int i=0;i=0;--i) #define rrep2(i,a,n) for(int i=(int)(n)-1;i>=(int)a;--i) #define rrep(...) RSELECTER(__VA_ARGS__, rrep2, rrep1)(__VA_ARGS__) #define all(a) a.begin(),a.end() #define rall(a) a.rbegin(),a.rend() #define fi first #define se second #define PrintR LogOutput #ifdef _DEBUG #define Log(...) LogOutput(__VA_ARGS__) #else #define Log(...) #endif #define M_PI 3.14159265358979323846 using namespace std; using namespace atcoder; using ll=long long; using ld=long double; using pii=pair; using pll=pair; using pdd=pair; using tp=tuple; using tpll=tuple; using veci=vector; using vecpii=vector>; using vecll=vector; using vecpll=vector>; using vecpdd=vector>; using vecs=vector; using vecb=vector; using vecd=vector; using vectp=vector; using vectpll=vector; using mint=modint998244353; using mint10=modint1000000007; template istream& operator>>(istream& in, pair& a){return in >> a.first >> a.second;} template ostream& operator<<(ostream& out, const pair& a){return out << a.first << ' ' << a.second;} ostream& operator<<(ostream& out, const mint& a){return out << a.val();} ostream& operator<<(ostream& out, const mint10& a){return out << a.val();} ostream& operator<<(ostream& out, const modint& a){return out << a.val();} template ostream& operator<<(ostream& out, const vector& d){for(int i = 0 ; i < d.size() ; ++i) out << d[i] << (i == d.size() - 1 ? "" : " "); return out;} template pair operator+(const pair& a, const pair& b){return {a.fi + b.fi, a.se + b.se};} template pair operator-(const pair& a, const pair& b){return {a.fi - b.fi, a.se - b.se};} template inline bool chmax(T& a,T b){if(a inline bool chmin(T& a,T b){if(a>b) {a=b;return true;} return false;} bool Judge(int i, int j, int h, int w){return i < 0 || j < 0 || i >= h || j >= w;} bool PrintA(int i){cout<<(i ? "Yes" : "No")<::max() >> 2; constexpr int inf=numeric_limits::max() >> 1; constexpr ll MOD=998244353; const int vi[] = {0, 1, 0, -1}, vj[] = {1, 0, -1, 0}; template void LogOutput(Args&&... args){ stringstream ss; ((ss << args << ' '), ...); cout << ss.str().substr(0, ss.str().length() - 1) << endl; } template void LogOutput(vector>& data){for(auto d : data) LogOutput(d);} template struct Trie{ struct Node{ Node() : size(0), end_word(0){memset(nx, -1, sizeof(nx));} int nx[char_size + 1]; int size; int end_word; }; std::vector nodes; int root; char base; Trie(char base2 = 'a') : base(base2), root(0){ nodes.push_back(Node()); } void insert(const std::string& s){ int now = root; for(int i = 0 ; i < s.size() ; ++i){ assert(base <= s[i] && s[i] - base < char_size); int c = s[i] - base; if(nodes[now].nx[c] == -1){ nodes[now].nx[c] = (int)nodes.size(); nodes.push_back(Node()); } ++nodes[now].size; now = nodes[now].nx[c]; } ++nodes[now].size; ++nodes[now].end_word; } bool search(const std::string& s){ int now = root; for(int i = 0 ; i < s.size() ; ++i){ assert(base <= s[i] && s[i] - base < char_size); int c = s[i] - base; int nx = nodes[now].nx[c]; if(nx == -1 || nodes[now].size == 0) return false; now = nx; } if(nodes[now].end_word == 0) return false; return true; } void erase(const std::string& s){ if(!search(s)) return; int now = root; for(int i = 0 ; i < s.size() ; ++i){ assert(base <= s[i] && s[i] - base < char_size); int c = s[i] - base; int nx = nodes[now].nx[c]; --nodes[now].size; now = nx; } --nodes[now].size; --nodes[now].end_word; } string get(int k){ int cur = root; string s; for(int i = 0; i < 61; ++i){ if(nodes[cur].nx[0] != -1){ if(nodes[nodes[cur].nx[0]].size >= k){ cur = nodes[cur].nx[0]; s.push_back(0 + base); }else{ k -= nodes[nodes[cur].nx[0]].size; cur = nodes[cur].nx[1]; s.push_back(1 + base); } }else{ cur = nodes[cur].nx[1]; s.push_back(1 + base); } } return s; } }; int main(){ ios::sync_with_stdio(false); std::cin.tie(nullptr); int n, q;cin>>n>>q; vecll a(n); rep(i, n) cin>>a[i]; Trie<2> t('0'); auto f = [&](ll c){ string s; while(c > 0){ s.push_back((c & 1) + '0'); c >>= 1; } while(s.size() < 61) s.push_back('0'); reverse(all(s)); return s; }; rep(i, n){ auto s = f(a[i]); t.insert(s); } vecll ans; set st; vecs b(n); rep(i, q){ int ty;cin>>ty; if(ty == 1){ int k; ll x;cin>>k>>x; st.insert(k); b[k - 1] = f(x); }else if(ty == 2){ for(auto it = st.rbegin(); it != st.rend(); ++it){ auto s = t.get(*it); t.erase(s); } for(auto v : st) t.insert(b[v - 1]); st.clear(); }else{ int k;cin>>k; k--; if(st.find(k) != st.end()) cout<