#line 2 "/Users/noya2/Desktop/Noya2_library/template/template.hpp" using namespace std; #include #line 1 "/Users/noya2/Desktop/Noya2_library/template/inout_old.hpp" namespace noya2 { template ostream &operator<<(ostream &os, const pair &p){ os << p.first << " " << p.second; return os; } template istream &operator>>(istream &is, pair &p){ is >> p.first >> p.second; return is; } template ostream &operator<<(ostream &os, const vector &v){ int s = (int)v.size(); for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i]; return os; } template istream &operator>>(istream &is, vector &v){ for (auto &x : v) is >> x; return is; } void in() {} template void in(T &t, U &...u){ cin >> t; in(u...); } void out() { cout << "\n"; } template void out(const T &t, const U &...u){ cout << t; if (sizeof...(u)) cout << sep; out(u...); } template void out(const vector> &vv){ int s = (int)vv.size(); for (int i = 0; i < s; i++) out(vv[i]); } struct IoSetup { IoSetup(){ cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); cerr << fixed << setprecision(7); } } iosetup_noya2; } // namespace noya2 #line 1 "/Users/noya2/Desktop/Noya2_library/template/const.hpp" namespace noya2{ const int iinf = 1'000'000'007; const long long linf = 2'000'000'000'000'000'000LL; const long long mod998 = 998244353; const long long mod107 = 1000000007; const long double pi = 3.14159265358979323; const vector dx = {0,1,0,-1,1,1,-1,-1}; const vector dy = {1,0,-1,0,1,-1,-1,1}; const string ALP = "ABCDEFGHIJKLMNOPQRSTUVWXYZ"; const string alp = "abcdefghijklmnopqrstuvwxyz"; const string NUM = "0123456789"; void yes(){ cout << "Yes\n"; } void no(){ cout << "No\n"; } void YES(){ cout << "YES\n"; } void NO(){ cout << "NO\n"; } void yn(bool t){ t ? yes() : no(); } void YN(bool t){ t ? YES() : NO(); } } // namespace noya2 #line 2 "/Users/noya2/Desktop/Noya2_library/template/utils.hpp" #line 6 "/Users/noya2/Desktop/Noya2_library/template/utils.hpp" namespace noya2{ unsigned long long inner_binary_gcd(unsigned long long a, unsigned long long b){ if (a == 0 || b == 0) return a + b; int n = __builtin_ctzll(a); a >>= n; int m = __builtin_ctzll(b); b >>= m; while (a != b) { int mm = __builtin_ctzll(a - b); bool f = a > b; unsigned long long c = f ? a : b; b = f ? b : a; a = (c - b) >> mm; } return a << std::min(n, m); } template T gcd_fast(T a, T b){ return static_cast(inner_binary_gcd(std::abs(a),std::abs(b))); } long long sqrt_fast(long long n) { if (n <= 0) return 0; long long x = sqrt(n); while ((x + 1) * (x + 1) <= n) x++; while (x * x > n) x--; return x; } template T floor_div(const T n, const T d) { assert(d != 0); return n / d - static_cast((n ^ d) < 0 && n % d != 0); } template T ceil_div(const T n, const T d) { assert(d != 0); return n / d + static_cast((n ^ d) >= 0 && n % d != 0); } template void uniq(std::vector &v){ std::sort(v.begin(),v.end()); v.erase(unique(v.begin(),v.end()),v.end()); } template inline bool chmin(T &x, U y) { return (y < x) ? (x = y, true) : false; } template inline bool chmax(T &x, U y) { return (x < y) ? (x = y, true) : false; } template inline bool range(T l, T x, T r){ return l <= x && x < r; } } // namespace noya2 #line 8 "/Users/noya2/Desktop/Noya2_library/template/template.hpp" #define rep(i,n) for (int i = 0; i < (int)(n); i++) #define repp(i,m,n) for (int i = (m); i < (int)(n); i++) #define reb(i,n) for (int i = (int)(n-1); i >= 0; i--) #define all(v) (v).begin(),(v).end() using ll = long long; using ld = long double; using uint = unsigned int; using ull = unsigned long long; using pii = pair; using pll = pair; using pil = pair; using pli = pair; namespace noya2{ /* ~ (. _________ . /) */ } using namespace noya2; #line 2 "c.cpp" #line 2 "/Users/noya2/Desktop/Noya2_library/data_structure/segment_tree.hpp" namespace noya2{ template struct segtree { public: segtree() : segtree(0) {} segtree(int n) : segtree(std::vector(n, e())) {} segtree(const std::vector& v) : _n(int(v.size())) { log = 0; size = 1; while (size < _n) size <<= 1, log++; d = std::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); } } 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); } S get(int p) { assert(0 <= p && p < _n); return d[p + size]; } S prod(int l, int r) { 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() { return d[1]; } template int max_right(int l) { return max_right(l, [](S x) { return f(x); }); } template int max_right(int l, F f) { 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) { return min_left(r, [](S x) { return f(x); }); } template int min_left(int r, F f) { 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; } private: int _n, size, log; std::vector d; void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); } }; } // namespace noya2 #line 4 "c.cpp" struct S { int lv, rv, ans; }; S op(S a, S b){ if (a.lv == -1) return b; if (b.lv == -1) return a; S c; c.lv = a.lv; c.rv = b.rv; c.ans = min(a.ans,b.ans); chmin(c.ans,a.rv^b.lv); return c; } S e(){ return {-1,-1,iinf}; } const ull lmsk = (1ULL << 20) - 1; const ull rmsk = lmsk << 20; const ull amsk = ((1ULL << 21) - 1) << 40; ull op0(ull a, ull b){ if (a >> 62 & 1) return b; if (b >> 62 & 1) return a; ull c = (a & lmsk) | (b & rmsk); ull ans = min(a & amsk, b & amsk); chmin(ans, (((a & rmsk) >> 20) ^ (b & lmsk)) << 40); return c | ans; } ull e0(){ return (1ULL << 62); } ull val0(ull x){ return (1ULL << 60) | (x << 20) | x; } struct dat0 { static constexpr int mx = 1<<20; segtree seg; vector cnt; int dup; dat0 () : seg(mx), cnt(mx), dup(0) {} void insert(int x){ if (cnt[x]++ == 0){ // seg.set(x,S{x,x,iinf}); seg.set(x,val0(x)); } if (cnt[x] == 2){ dup++; } } void erase(int x){ if (--cnt[x] == 0){ seg.set(x,e0()); } if (cnt[x] == 1){ dup--; } } int get(){ if (dup >= 1) return 0; // return seg.all_prod().ans; return (seg.all_prod() & amsk) >> 40; } int query(int x){ insert(x); int ret = get(); erase(x); return ret; } }; struct dat { multiset st; multiset diffs; int query(int x){ int ret = iinf; auto ite = st.lower_bound(x); if (ite != st.end()){ chmin(ret,x^(*ite)); } if (ite != st.begin()){ chmin(ret,x^(*prev(ite))); } return ret; } void insert(int x){ auto ite = st.insert(x); if (next(ite) != st.end()){ diffs.insert((*next(ite))^x); } if (ite != st.begin()){ diffs.insert(x^(*prev(ite))); } if (next(ite) != st.end() && ite != st.begin()){ diffs.erase(diffs.find((*next(ite))^(*prev(ite)))); } } void erase(int x){ auto ite = st.erase(st.find(x)); if (ite != st.end()){ diffs.erase(diffs.find((*ite)^x)); } if (ite != st.begin()){ diffs.erase(diffs.find(x^(*prev(ite)))); } if (ite != st.end() && ite != st.begin()){ diffs.insert((*ite)^(*prev(ite))); } } int get(){ if (diffs.empty()) return iinf; return *diffs.begin(); } void show(){ out(vector(all(st))); out(vector(all(diffs))); } }; struct dat2 { set st; int query(int x){ int ret = iinf; auto ite = st.lower_bound(x); if (ite != st.end()){ chmin(ret,x^(*ite)); } if (ite != st.begin()){ chmin(ret,x^(*prev(ite))); } return ret; } void insert(int x){ st.insert(x); } }; void solve(){ int n, q; in(n,q); vector a(n); in(a); // const int w = 512; // const int w = 1024; const int w = 800; // const int w = 3; { n = (n + w - 1) / w * w; a.resize(n); } vector sts(n/w); { dat0 st; rep(b,n/w){ int l = b * w, r = l + w; repp(i,l,r){ st.insert(a[i]); } sts[b] = st; } } auto query = [&](int r){ int br = r / w; int ret = iinf; if (br > 0){ repp(i,br*w,r){ sts[br-1].insert(a[i]); } chmin(ret,sts[br-1].get()); repp(i,br*w,r){ sts[br-1].erase(a[i]); } } else { dat2 st; repp(i,br*w,r){ chmin(ret,st.query(a[i])); st.insert(a[i]); } } return ret; }; auto upd = [&](int i, int v){ rep(b,n/w){ int r = b * w + w; if (i >= r) continue; sts[b].erase(a[i]); sts[b].insert(v); } a[i] = v; }; while (q--){ int t; in(t); if (t == 1){ int i, v; in(i,v); i--; upd(i,v); } else if (t == 2){ int r; in(r); int ans = query(r); out(ans); } } } int main(){ int t = 1; //in(t); while (t--) { solve(); } }