#include #include using namespace std; using namespace atcoder; istream &operator>>(istream &is, modint &a) { long long v; is >> v; a = v; return is; } ostream &operator<<(ostream &os, const modint &a) { return os << a.val(); } istream &operator>>(istream &is, modint998244353 &a) { long long v; is >> v; a = v; return is; } ostream &operator<<(ostream &os, const modint998244353 &a) { return os << a.val(); } istream &operator>>(istream &is, modint1000000007 &a) { long long v; is >> v; a = v; return is; } ostream &operator<<(ostream &os, const modint1000000007 &a) { return os << a.val(); } typedef long long ll; typedef vector> Graph; typedef pair pii; typedef pair pll; #define FOR(i,l,r) for (int i = l;i < (int)(r); i++) #define rep(i,n) for (int i = 0;i < (int)(n); i++) #define all(x) x.begin(), x.end() #define rall(x) x.rbegin(), x.rend() #define my_sort(x) sort(x.begin(), x.end()) #define my_max(x) *max_element(all(x)) #define my_min(x) *min_element(all(x)) template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } const int INF = (1<<30) - 1; const ll LINF = (1LL<<62) - 1; const int MOD = 998244353; const int MOD2 = 1e9+7; const double PI = acos(-1); vector di = {1,0,-1,0}; vector dj = {0,1,0,-1}; #ifdef LOCAL # include # define debug(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__) #else # define debug(...) (static_cast(0)) #endif struct MinXorSet { multiset ms1, ms2; void insert(int v) { auto itr = ms1.lower_bound(v); if(itr != ms1.begin() && itr != ms1.end()) { ms2.erase(ms2.find(*prev(itr) ^ (*itr))); } if(itr != ms1.begin()) { ms2.insert(*prev(itr) ^ v); } if(itr != ms1.end()) { ms2.insert(v ^ (*itr)); } ms1.insert(v); } void erase(int v) { ms1.erase(ms1.find(v)); auto itr = ms1.lower_bound(v); if(itr != ms1.begin() && itr != ms1.end()) { ms2.insert(*prev(itr) ^ (*itr)); } if(itr != ms1.begin()) { ms2.erase(ms2.find(*prev(itr) ^ v)); } if(itr != ms1.end()) { ms2.erase(ms2.find(v ^ (*itr))); } } int query() { if(ms2.empty()) return INF; else return *ms2.begin(); } }; const int B = 345; int main(){ cin.tie(0); ios_base::sync_with_stdio(false); int N, Q; cin >> N >> Q; vector A(N); rep(i, N) cin >> A[i]; int C = (N + B - 1) / B; vector st(C); rep(i, N)FOR(k, i / B, C) st[k].insert(A[i]); while(Q--) { int op; cin >> op; if(op == 1) { int i, x; cin >> i >> x; i--; debug(Q, op, i, x); FOR(k, i / B, C) { st[k].erase(A[i]); st[k].erase(x); } A[i] = x; } else{ int r; cin >> r; if(r <= B) { MinXorSet s; rep(i, r) s.insert(A[i]); cout << s.query() << "\n"; continue; } int k = r / B - 1; debug(Q, op, r, k); int ans = st[k].query(); MinXorSet s; FOR(i, (k + 1) * B, r) { s.insert(A[i]); } chmin(ans, s.query()); FOR(i, (k + 1) * B, r) { st[k].insert(A[i]); chmin(ans, st[k].query()); st[k].erase(A[i]); } cout << ans << "\n"; } } }