#include //#include using namespace std; //using namespace atcoder; //using mint = modint1000000007; //const int mod = 1000000007; //using mint = modint998244353; //const int mod = 998244353; //const int INF = 1e9; //const long long LINF = 1e18; #define rep(i, n) for (int i = 0; i < (n); ++i) #define rep2(i,l,r)for(int i=(l);i<(r);++i) #define rrep(i, n) for (int i = (n) - 1; i >= 0; --i) #define rrep2(i,l,r)for(int i=(r) - 1;i>=(l);--i) #define all(x) (x).begin(),(x).end() #define allR(x) (x).rbegin(),(x).rend() #define P pair template inline bool chmax(A & a, const B & b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(A & a, const B & b) { if (a > b) { a = b; return true; } return false; } #include #include struct BinaryTrie { int kind; std::vectornode; std::vector>next; std::array e{ -1,-1 }; BinaryTrie(int _kind) :kind(_kind) { node.resize(1); next.emplace_back(e); } void insert(const std::vector&v) { int now = 0; for (int i = 0; i < v.size(); ++i) { if (-1 == next[now][v[i]]) { next[now][v[i]] = node.size(); node.emplace_back(0); next.emplace_back(e); } now = next[now][v[i]]; node[now]++; } } // 1-indexed std::vectorkth_element(int k) { int now = 0; std::vectorret; while (true) { bool flag = false; for (int i = 0; i < kind; ++i) { if (-1 == next[now][i])continue; if (k <= node[next[now][i]]) { flag = true; ret.emplace_back(i); now = next[now][i]; break; } else { k -= node[next[now][i]]; } } if (!flag)break; } return ret; } bool seach(const std::vector&v) { int now = 0; for (int i = 0; i < (int)v.size(); ++i) { if (-1 == next[now][v[i]])return false; if (node[next[now][v[i]]] <= 0)return false; now = next[now][v[i]]; } int count = node[now]; for (int i = 0; i < kind; ++i)if (-1 != next[now][i])count -= node[next[now][i]]; return count; } void erase(const std::vector&v) { int now = 0; for (int i = 0; i < (int)v.size(); ++i) { now = next[now][v[i]]; node[now]--; } } // Binary Trie std::vectorxor_max(const std::vector&v) { std::vectorret; int now = 0; for (int i = 0; i < (int)v.size(); ++i) { std::vectortmp = { 1 - v[i],v[i] }; for (int j = 0; j < (int)tmp.size(); ++j) { if (-1 == next[now][tmp[j]])continue; if (node[next[now][tmp[j]]] <= 0)continue; ret.emplace_back(tmp[j]); now = next[now][tmp[j]]; break; } } return ret; } std::vectorxor_min(const std::vector&v) { std::vectorret; int now = 0; for (int i = 0; i < (int)v.size(); ++i) { std::vectortmp = { v[i],1 - v[i] }; for (int j = 0; j < (int)tmp.size(); ++j) { if (-1 == next[now][tmp[j]])continue; if (node[next[now][tmp[j]]] <= 0)continue; ret.emplace_back(tmp[j]); now = next[now][tmp[j]]; break; } } return ret; } // xとxorした結果がk未満になる物の数(0含む) int xor_count(const std::vector&x, const std::vector&k) { int ret = 0, now = 0; for (int i = 0; i < (int)k.size(); ++i) { if (0 == k[i]) { if (-1 == next[now][x[i]])break; now = next[now][x[i]]; } else { if (-1 != next[now][x[i]])ret += node[next[now][x[i]]]; if (-1 == next[now][1 - x[i]])break; now = next[now][1 - x[i]]; } } return ret; } // xより大きいものの個数 int over_count(const std::vector&x) { int ret = 0, now = 0; for (int i = 0; i < (int)x.size(); ++i) { if (0 == x[i]) { if (-1 != next[now][1])ret += node[next[now][1]]; } if (-1 == next[now][x[i]])break; now = next[now][x[i]]; } return ret; } std::vector trans(long long n, int sz = 60) { std::vectorret(sz, 0); for (int i = 0; i < sz; ++i) { if (1 & (n >> i))ret[sz - 1 - i] = 1; } return ret; } long long inverse(const std::vector&v) { long long ret = 0; for (int i = 0; i < v.size(); ++i) { ret *= 2; ret += v[i]; } return ret; } }; int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int n, q; cin >> n >> q; vectora(n); rep(i, n)cin >> a[i]; struct Query { int t; int k; long long x; Query(int t = -1, int k = -1, long long x = -1) :t(t), k(k), x(x) {} void output() { std::cout << t << " " << k << " " << x << endl; } }; vectorquery(q); rep(i, q) { int t, k; long long x; cin >> t; if (1 == t)cin >> k >> x, k--; else if (3 == t)cin >> k, k--; query[i] = Query(t, k, x); } //rep(i, q) { // cout << query[i].k << " " << query[i].t << " " << query[i].x << endl; //} int i = 0; for (; i < q;) { while (i < q && 2 != query[i].t) { if (3 == query[i].t) cout << a[query[i].k] << endl; else a[query[i].k] = query[i].x; i++; } break; } BinaryTrie bt(2); rep(i, n)bt.insert(bt.trans(a[i])); i++; for (; i < q;) { mapmp;//index,value while (i < q && 2 != query[i].t) { //query[i].output(); int index = query[i].k; if (3 == query[i].t) { if (mp.count(index)) { cout << mp[index] << endl; } else { auto v = bt.kth_element(index + 1); cout << bt.inverse(v) << endl; } } else { mp[index] = query[i].x; } i++; } vector>vec; for (auto[k, v] : mp) { auto val = bt.kth_element(k + 1); vec.push_back({ bt.inverse(val) ,v }); } for (auto p : vec) { bt.erase(bt.trans(p.first)); bt.insert(bt.trans(p.second)); } // sort } return 0; }