#include using namespace std; using ll = long long; const int INF = (int)1e9 + 1001010; const ll llINF = (long long)4e18 + 22000020; const string endn = "\n"; template inline auto vector2(size_t i, size_t j, const T &init = T()) {return vector(i, vector(j, init));} const string ELM_SEP = " ", VEC_SEP = endn; template istream& operator >>(istream &i, vector &A) {for(auto &I : A) {i >> I;} return i;} template ostream& operator <<(ostream &o, const vector &A) {int i=A.size(); for(const auto &I : A){o << I << (--i ? ELM_SEP : "");} return o;} template ostream& operator <<(ostream &o, const vector> &A) {int i=A.size(); for(const auto &I : A){o << I << (--i ? VEC_SEP : "");} return o;} template vector& operator ++(vector &A, int n) {for(auto &I : A) {I++;} return A;} template vector& operator --(vector &A, int n) {for(auto &I : A) {I--;} return A;} template bool chmax(T &a, const U &b) {return ((a < b) ? (a = b, true) : false);} template bool chmin(T &a, const U &b) {return ((a > b) ? (a = b, true) : false);} ll floor(ll a, ll b){if (b < 0) a = -a, b = -b; if(a >= 0) return a / b; else return (a + 1) / b - 1;} ll ceil(ll a, ll b){if (b < 0) a = -a, b = -b; if(a > 0) return (a - 1) / b + 1; else return a / b;} ll bit(unsigned long long val, unsigned long long digit){return (val >> digit) & 1;} #ifdef DEBUG #include #define dump(...) cpp_dump(__VA_ARGS__) namespace cp = cpp_dump; struct InitCppDump{ InitCppDump(){ if(!isatty(fileno(stderr))) CPP_DUMP_SET_OPTION(es_style, cpp_dump::es_style_t::no_es); CPP_DUMP_SET_OPTION(log_label_func, cp::log_label::line()); CPP_DUMP_SET_OPTION(max_iteration_count, 30); } } init_cpp_dump; #else #define dump(...) #endif // ================================== ここまでテンプレ ================================== template class Compressor{ vector vals; public: // コンストラクタ // O(NlogN) Compressor(const vector> &data){ vals.reserve(data.size() * data[0].size()); for(int i = 0; i < data.size(); i++){ std::copy(data[i].begin(), data[i].end(), back_inserter(vals)); } sort(vals.begin(), vals.end()); vals.erase(unique(vals.begin(), vals.end()), vals.end()); } Compressor(const vector &data) : vals(data){ sort(vals.begin(), vals.end()); vals.erase(unique(vals.begin(), vals.end()), vals.end()); } // 圧縮前の値 value に対応する圧縮後の値 index を返す // O(logN) int get_index(T value){ auto lb = lower_bound(vals.begin(), vals.end(), value); assert(lb != vals.end() && *lb == value); return (int)(lb - vals.begin()); } // 圧縮後の値 index に対応する圧縮前の値 value を返す // O(1) T get_value(size_t index){ return vals.at(index); } // 圧縮後の配列のサイズを返す // O(1) int size() const { return vals.size(); } }; // ACLの実装を一部改変したもの // == 変更点 == // internal::ceil_pow2 を埋め込み // add関数 を追加 // size関数 を追加 template struct segtree { public: segtree() : segtree(0) {} explicit segtree(int n) : segtree(vector(n, e())) {} explicit segtree(const vector& v) : _n(int(v.size())) { log = 0; while((1U << log) < (unsigned int)(_n)) log++; _size = 1 << log; d = vector(2 * _size, e()); for (int i = 0; i < _n; i++) d[_size + i] = v[i]; for (int i = _size - 1; i >= 1; i--) { update(i); } } size_t size() const { return _n; } void set(int p, S x) { assert(0 <= p && p < _n); p += _size; d[p] = x; for (int i = 1; i <= log; i++) update(p >> i); } void add(int p, S x){ assert(0 <= p && p < _n); p += _size; d[p] += x; for (int i = 1; i <= log; i++) update(p >> i); } S get(int p) const { assert(0 <= p && p < _n); return d[p + _size]; } S prod(int l, int r) const { assert(0 <= l && l <= r && r <= _n); S sml = e(), smr = e(); l += _size; r += _size; while (l < r) { if (l & 1) sml = op(sml, d[l++]); if (r & 1) smr = op(d[--r], smr); l >>= 1; r >>= 1; } return op(sml, smr); } S all_prod() const { return d[1]; } template int max_right(int l) const { return max_right(l, [](S x) { return f(x); }); } template int max_right(int l, F f) const { assert(0 <= l && l <= _n); // assert(f(e())); if (l == _n) return _n; l += _size; S sm = e(); do { while (l % 2 == 0) l >>= 1; if (!f(op(sm, d[l]))) { while (l < _size) { l = (2 * l); if (f(op(sm, d[l]))) { sm = op(sm, d[l]); l++; } } return l - _size; } sm = op(sm, d[l]); l++; } while ((l & -l) != l); return _n; } template int min_left(int r) const { return min_left(r, [](S x) { return f(x); }); } template int min_left(int r, F f) const { assert(0 <= r && r <= _n); assert(f(e())); if (r == 0) return 0; r += _size; S sm = e(); do { r--; while (r > 1 && (r % 2)) r >>= 1; if (!f(op(d[r], sm))) { while (r < _size) { r = (2 * r + 1); if (f(op(d[r], sm))) { sm = op(d[r], sm); r--; } } return r + 1 - _size; } sm = op(d[r], sm); } while ((r & -r) != r); return 0; } friend ostream& operator<<(ostream &os, const segtree &st) { os << "["; for (int i = 0; i < st._n; i++) { if (i != 0) os << ", "; os << st.get(i); } os << "]"; return os; } private: int _n, _size, log; vector d; void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); } }; template struct RangeSum { static S op(S l, S r){ return l + r; } static S e(){ return 0; } using Type = struct segtree; }; template struct RangeMin { static S op(S l, S r){ return min(l, r); } static S e(){ return numeric_limits::max(); } using Type = struct segtree; }; template struct RangeMax { static S op(S l, S r){ return max(l, r); } static S e(){ return numeric_limits::min(); } using Type = struct segtree; }; // ex) RangeMin::Type seg(10); template ll binary_search_ll(ll ok, ll ng, Judgement judge){ auto need_continue = [&]() -> bool { if(ok > ng) return((__int128_t)ok - (__int128_t)ng > 1); else return ((__int128_t)ng - (__int128_t)ok > 1); }; while(need_continue()){ ll mid = ((__int128_t)ok + (__int128_t)ng) / 2; if(judge(mid)) ok = mid; else ng = mid; } return ok; }; int main(int argc, char *argv[]){ ios::sync_with_stdio(false); cin.tie(nullptr); ll n, q; cin >> n >> q; vector a(n); cin >> a; vector all_a = a; vector> ops(q); for(int qid = 0; qid < q; qid++){ auto &[v0, v1, v2] = ops[qid]; cin >> v0; if(v0 == 1){ cin >> v1 >> v2; v1--; all_a.emplace_back(v2); } if(v0 == 2){ } if(v0 == 3){ cin >> v1; v1--; } } Compressor comp(all_a); RangeSum::Type seg(comp.size()); for(int i = 0; i < a.size(); i++){ seg.add(comp.get_index(a[i]), 1); } map changed; // {a_idx, comp_idx} vector will_delete; // comp_idx for(int qid = 0; qid < q; qid++){ const auto &[op, k, x] = ops[qid]; dump(op, k, x); auto judge = [&](ll mid) -> bool { // [0, mid] >= sum ? ll sum = seg.prod(0, mid+1); return (sum >= k+1); }; if(op == 1){ // change if(!changed.count(k)){ ll comp_idx = binary_search_ll((int)comp.size()-1, -1, judge); dump(comp_idx); will_delete.emplace_back(comp_idx); } changed[k] = comp.get_index(x); } if(op == 2){ // sort for(auto [a_idx, comp_idx] : changed){ seg.add(comp_idx, 1); } for(auto idx : will_delete){ seg.add(idx, -1); } changed.clear(); will_delete.clear(); } if(op == 3){ // output if(changed.count(k)){ cout << comp.get_value(changed[k]) << endl; } else{ dump(seg); ll comp_idx = binary_search_ll((int)comp.size()-1, -1, judge); dump(comp_idx); cout << comp.get_value(comp_idx) << endl; } } } return 0; }