#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; #if __has_include() #include #endif #define GET_MACRO(_1, _2, _3, NAME, ...) NAME #define _rep(i, n) _rep2(i, 0, n) #define _rep2(i, a, b) for (int i = (int)(a); i < (int)(b); i++) #define rep(...) GET_MACRO(__VA_ARGS__, _rep2, _rep)(__VA_ARGS__) #define all(x) (x).begin(), (x).end() #define rall(x) (x).rbegin(), (x).rend() #define UNIQUE(x) \ std::sort((x).begin(), (x).end()); \ (x).erase(std::unique((x).begin(), (x).end()), (x).end()) using i64 = long long; using u64 = unsigned long long; using u32 = unsigned int; using i32 = int; using ld = long double; using f64 = double; template bool chmin(T& a, const U& b) { return (b < a) ? (a = b, true) : false; } template bool chmax(T& a, const U& b) { return (b > a) ? (a = b, true) : false; } template inline void YesNo(bool f = 0, const T yes = "Yes", const U no = "No") { if (f) std::cout << yes << "\n"; else std::cout << no << "\n"; } namespace io { template istream& operator>>(istream& i, pair& p) { i >> p.first >> p.second; return i; } template ostream& operator<<(ostream& o, pair& p) { o << p.first << " " << p.second; return o; } template istream& operator>>(istream& i, vector& v) { rep(j, v.size()) i >> v[j]; return i; } template string join(vector& v) { stringstream s; rep(i, v.size()) s << ' ' << v[i]; return s.str().substr(1); } template ostream& operator<<(ostream& o, vector& v) { if (v.size()) o << join(v); return o; } template string join(vector>& vv) { string s = "\n"; rep(i, vv.size()) s += join(vv[i]) + "\n"; return s; } template ostream& operator<<(ostream& o, vector>& vv) { if (vv.size()) o << join(vv); return o; } void OUT() { std::cout << "\n"; } template void OUT(Head&& head, Tail&&... tail) { std::cout << head; if (sizeof...(tail)) std::cout << ' '; OUT(std::forward(tail)...); } void OUTL() { std::cout << std::endl; } template void OUTL(Head&& head, Tail&&... tail) { std::cout << head; if (sizeof...(tail)) std::cout << ' '; OUTL(std::forward(tail)...); } void IN() {} template void IN(Head&& head, Tail&&... tail) { cin >> head; IN(std::forward(tail)...); } } // namespace io using namespace io; namespace useful { long long modpow(long long a, long long b, long long mod) { long long res = 1; while (b) { if (b & 1) res *= a, res %= mod; a *= a; a %= mod; b >>= 1; } return res; } bool is_pow2(long long x) { return x > 0 && (x & (x - 1)) == 0; } template void rearrange(vector& a, vector& p) { vector b = a; for (int i = 0; i < int(a.size()); i++) { a[i] = b[p[i]]; } return; } template vector> rle_sequence(vector& a) { vector> res; int n = a.size(); int l = 1; rep(i, n - 1) { if (a[i] == a[i + 1]) l++; else { res.emplace_back(a[i], l); l = 1; } } res.emplace_back(a.back(), l); return res; } vector> rle_string(string a) { vector> res; int n = a.size(); if (n == 1) return vector>{{a[0], 1}}; int l = 1; rep(i, n - 1) { if (a[i] == a[i + 1]) l++; else { res.emplace_back(a[i], l); l = 1; } } res.emplace_back(a.back(), l); return res; } vector linear_sieve(int n) { vector primes; vector res(n + 1); iota(all(res), 0); for (int i = 2; i <= n; i++) { if (res[i] == i) primes.emplace_back(i); for (auto j : primes) { if (j * i > n) break; res[j * i] = j; } } return res; // return primes; } template vector dijkstra(vector>>& graph, int start) { int n = graph.size(); vector res(n, 2e18); res[start] = 0; priority_queue, vector>, greater>> que; que.push({0, start}); while (!que.empty()) { auto [c, v] = que.top(); que.pop(); if (res[v] < c) continue; for (auto [nxt, cost] : graph[v]) { auto x = c + cost; if (x < res[nxt]) { res[nxt] = x; que.push({x, nxt}); } } } return res; } } // namespace useful using namespace useful; template struct RandomIntGenerator { std::random_device seed; std::mt19937_64 engine; std::uniform_int_distribution uid; RandomIntGenerator() { engine = std::mt19937_64(seed()); uid = std::uniform_int_distribution(l, r); } T gen() { return uid(engine); } }; template struct BinaryTrie { static const int MAX_SIZE = B * 300001; struct node { int cnt; int ch[2]; node() : cnt(0), ch(0) {} }; static inline node nodes[MAX_SIZE]; static inline int cnter = 2; int root; public: BinaryTrie() : root(1) { nodes[1] = node(); } void insert(U x) { insert_(root, x, B); } bool contains(U x) { return contains_(root, x, B); } void erase(U x) { erase_(root, x, B); } U get_kth(int k, U x = 0) { return get_kth_(root, k, x, B); } U get_min(U x = 0) { return get_kth(0, x); } U get_max(U x = 0) { return get_kth(nodes[root].cnt - 1, x); } int count_less(U x, bool eq = false) { return count_less_(root, x, B, eq); } int count_greater(U x, bool eq = false) { return count_greater_(root, x, B, eq); } int count(U x) { return count_less(x) - count_less(x, true); } private: void insert_(int t, U x, int b) { node& it = nodes[t]; it.cnt++; if (b < 0) return; if (it.ch[x >> b & 1] == 0) { nodes[cnter] = node(); it.ch[x >> b & 1] = cnter++; } insert_(it.ch[x >> b & 1], x, b - 1); return; } bool contains_(int t, U x, int b) { node& it = nodes[t]; if (it.cnt <= 0) { return false; } if (b < 0) return true; return contains_(nodes[t].ch[x >> b & 1], x, b - 1); } bool erase_(int t, U x, int b) { node& it = nodes[t]; if (it.cnt <= 0) return false; if (b < 0) { it.cnt--; return true; } bool res = erase_(it.ch[x >> b & 1], x, b - 1); it.cnt -= res; return res; } U get_kth_(int t, int k, U x, int b) { if (b == -1) return 0; node& it = nodes[t]; int f = x >> b & 1; if (nodes[it.ch[f]].cnt <= k) { k -= nodes[it.ch[f]].cnt; return get_kth_(it.ch[f ^ 1], k, x, b - 1) + (U(1) << b); } else { return get_kth_(it.ch[f], k, x, b - 1); } } int count_less_(int t, U x, int b, bool eq) { node& it = nodes[t]; if (b == -1) return eq ? it.cnt : 0; if (x >> b & 1) { return nodes[it.ch[0]].cnt + count_less_(it.ch[1], x, b - 1, eq); } else { return count_less_(it.ch[0], x, b - 1, eq); } } int count_greater_(int t, U x, int b, bool eq) { node& it = nodes[t]; if (b == -1) return eq ? it.cnt : 0; if (x >> b & 1) { return count_greater_(it.ch[1], x, b - 1, eq); } else { return nodes[it.ch[1]].cnt + count_greater_(it.ch[0], x, b - 1, eq); } } }; int main() { std::cout << fixed << setprecision(15); cin.tie(nullptr); ios::sync_with_stdio(false); i64 n, q; IN(n, q); vector a(n); IN(a); int last = -2; BinaryTrie trie; rep(i, n) trie.insert(a[i]); vector pre(n, -1); rep(i, q) { int t; IN(t); if (t == 1) { i64 k, x; IN(k, x); k--; if (pre[k] > last) { trie.erase(a[k]); trie.insert(x); a[k] = x; } else { trie.erase(trie.get_kth(k)); trie.insert(x); a[k] = x; } pre[k] = i; } if (t == 2) { last = i; } if (t == 3) { int k; IN(k); k--; if (pre[k] > last) OUT(a[k]); else OUT(trie.get_kth(k)); } } }