#pragma region satashun // #pragma GCC optimize("Ofast") // #pragma GCC optimize("unroll-loops") #include using namespace std; using uint = unsigned int; using ll = long long; using ull = unsigned long long; using pii = pair; template using V = vector; template using VV = V>; template V make_vec(size_t a) { return V(a); } template auto make_vec(size_t a, Ts... ts) { return V(ts...))>(a, make_vec(ts...)); } template void fill_vec(T& v, const V& val) { v = val; } template void fill_vec(vector& vec, const V& val) { for (auto& v : vec) fill_vec(v, val); } #define pb push_back #define eb emplace_back #define mp make_pair #define fi first #define se second #define rep(i, n) rep2(i, 0, n) #define rep2(i, m, n) for (int i = m; i < (n); i++) #define per(i, b) per2(i, 0, b) #define per2(i, a, b) for (int i = int(b) - 1; i >= int(a); i--) #define ALL(c) (c).begin(), (c).end() #define SZ(x) ((int)(x).size()) constexpr ll TEN(int n) { return (n == 0) ? 1 : 10 * TEN(n - 1); } template void chmin(T& t, const U& u) { if (t > u) t = u; } template void chmax(T& t, const U& u) { if (t < u) t = u; } template int arglb(const V& v, const T& x) { return distance(v.begin(), lower_bound(ALL(v), x)); } template int argub(const V& v, const T& x) { return distance(v.begin(), upper_bound(ALL(v), x)); } template void mkuni(vector& v) { sort(ALL(v)); v.erase(unique(ALL(v)), end(v)); } template vector sort_by(const vector& v, bool increasing = true) { vector res(v.size()); iota(res.begin(), res.end(), 0); if (increasing) { stable_sort(res.begin(), res.end(), [&](int i, int j) { return v[i] < v[j]; }); } else { stable_sort(res.begin(), res.end(), [&](int i, int j) { return v[i] > v[j]; }); } return res; } // prototype template ostream& operator<<(ostream& os, const pair& p); template ostream& operator<<(ostream& os, const vector& v); template istream& operator>>(istream& is, vector& v); template ostream& operator<<(ostream& os, const array& arr); template ostream& operator<<(ostream& os, const set& ST); template ostream& operator<<(ostream& os, const multiset& ST); template ostream& operator<<(ostream& os, const map& MP); ostream& operator<<(ostream& o, __int128_t x); // io functions template istream& operator>>(istream& is, pair& p) { is >> p.first >> p.second; return is; } template ostream& operator<<(ostream& os, const pair& p) { os << "(" << p.first << "," << p.second << ")"; return os; } template istream& operator>>(istream& is, vector& v) { for (auto& x : v) { is >> x; } return is; } template ostream& operator<<(ostream& os, const vector& v) { os << "{"; rep(i, v.size()) { if (i) os << ","; os << v[i]; } os << "}"; return os; } template ostream& operator<<(ostream& os, const array& arr) { os << '['; for (auto v : arr) os << v << ','; os << ']'; return os; } template ostream& operator<<(ostream& os, const set& ST) { os << "{"; for (auto it = ST.begin(); it != ST.end(); ++it) { if (it != ST.begin()) os << ","; os << *it; } os << "}"; return os; } template ostream& operator<<(ostream& os, const multiset& ST) { os << "{"; for (auto it = ST.begin(); it != ST.end(); ++it) { if (it != ST.begin()) os << ","; os << *it; } os << "}"; return os; } template ostream& operator<<(ostream& os, const map& MP) { for (auto it = MP.begin(); it != MP.end(); ++it) { os << "(" << it->first << ": " << it->second << ")"; } return os; } string to_string(__int128_t x) { if (x == 0) return "0"; string result; if (x < 0) { result += "-"; x *= -1; } string t; while (x) { t.push_back('0' + x % 10); x /= 10; } reverse(t.begin(), t.end()); return result + t; } ostream& operator<<(ostream& o, __int128_t x) { return o << to_string(x); } #ifdef LOCAL void debug_out() { cerr << endl; } template void debug_out(Head H, Tail... T) { cerr << " " << H; debug_out(T...); } #define debug(...) \ cerr << __LINE__ << " [" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__) #define dump(x) cerr << __LINE__ << " " << #x << " = " << (x) << endl #else #define debug(...) (void(0)) #define dump(x) (void(0)) #endif template V& operator+=(V& vec, const T& v) { for (auto& x : vec) x += v; return vec; } template V& operator-=(V& vec, const T& v) { for (auto& x : vec) x -= v; return vec; } // suc : 1 = newline, 2 = space template void print(T x, int suc = 1) { cout << x; if (suc == 1) cout << "\n"; else if (suc == 2) cout << " "; } template void print(const vector& v, int suc = 1) { for (int i = 0; i < v.size(); ++i) print(v[i], i == int(v.size()) - 1 ? suc : 2); } template void show(T x) { print(x, 1); } template void show(Head H, Tail... T) { print(H, 2); show(T...); } int topbit(int t) { return t == 0 ? -1 : 31 - __builtin_clz(t); } int topbit(ll t) { return t == 0 ? -1 : 63 - __builtin_clzll(t); } int botbit(int a) { return a == 0 ? 32 : __builtin_ctz(a); } int botbit(ll a) { return a == 0 ? 64 : __builtin_ctzll(a); } int popcount(int t) { return __builtin_popcount(t); } int popcount(ll t) { return __builtin_popcountll(t); } int bit_parity(int t) { return __builtin_parity(t); } int bit_parity(ll t) { return __builtin_parityll(t); } struct prepare_io { prepare_io() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(10); } } prep_io; #pragma endregion satashun // index of root = 1 template struct segtree { using T = typename U::T; int sz; V dat; segtree() {} segtree(int n) : _n(n) { sz = 1; while (sz < n) sz <<= 1; dat.assign(sz * 2, U::id()); } segtree(const V& a) { int n = a.size(); _n = n; sz = 1; while (sz < n) sz <<= 1; dat.assign(sz * 2, U::id()); for (int i = 0; i < n; ++i) { dat[sz + i] = a[i]; } for (int i = sz - 1; i >= 1; --i) { upd(i); } } void upd(int p) { dat[p] = U::op(dat[p << 1], dat[p << 1 | 1]); } void build() { for (int i = sz - 1; i > 0; --i) { dat[i] = U::op(dat[i << 1], dat[i << 1 | 1]); } } void set(int p, T v) { p += sz; dat[p] = v; while (p >>= 1) { dat[p] = U::op(dat[p << 1], dat[p << 1 | 1]); } } T get(int p) const { return dat[p + sz]; } //[l, r) T prod(int l, int r) const { T lval = U::id(), rval = U::id(); for (l += sz, r += sz; l < r; l >>= 1, r >>= 1) { if (l & 1) lval = U::op(lval, dat[l++]); if (r & 1) rval = U::op(dat[--r], rval); } return U::op(lval, rval); } // ABC194E // https://atcoder.jp/contests/practice2/submissions/33977727 // https://github.com/atcoder/ac-library/blob/master/atcoder/segtree.hpp // find max r s.t. f([l, r)) = true template int max_right(int l, F f) const { // assert(0 <= l && l <= _n); // assert(f(U::id())); if (l == sz) return sz; l += sz; auto cur = U::id(); do { while (l % 2 == 0) l >>= 1; if (!f(U::op(cur, dat[l]))) { while (l < sz) { l = l * 2; if (f(U::op(cur, dat[l]))) { cur = U::op(cur, dat[l]); l++; } } return l - sz; } cur = U::op(cur, dat[l]); l++; } while ((l & -l) != l); return _n; } // needs verification // find min l s.t. f([l, r)) = true template int min_left(int r, F f) const { // assert(0 <= r && r <= _n); // assert(f(U::id())); if (r == 0) return 0; r += sz; auto cur = U::id(); do { r--; while (r > 1 && (r % 2)) r >>= 1; if (!f(U::op(dat[r], cur))) { while (r < sz) { r = (2 * r + 1); if (f(U::op(dat[r], cur))) { cur = U::op(dat[r], cur); r--; } } return r + 1 - sz; } cur = U::op(dat[r], cur); } while ((r & -r) != r); return 0; } private: int _n; }; constexpr int INF = TEN(9); const int B = 16; int K; struct C { int mini, xo, l, r; V vl, vr; C() { mini = INF, xo = 0, l = -INF, r = INF; } C(int pos, int v) { l = pos; r = pos; xo = v; mini = INF; if (v != 0) { vl.eb(v, pos); vr.eb(v, pos); } if (v == (1 << K) - 1) mini = 1; } }; // modify only U struct U { using T = C; static T id() { return T(); } static T op(const T& a, const T& b) { T res; if (a.l == -INF) { return b; } else if (b.l == -INF) { return a; } res.mini = min(a.mini, b.mini); res.xo = a.xo ^ b.xo; res.l = a.l; res.r = b.r; res.vl = a.vl; if (a.xo != 0) { int pre = a.xo; for (auto [x, p] : b.vl) { if ((x | pre) != pre) { pre |= x; res.vl.eb(pre, p); if (pre == (1 << K) - 1) { chmin(res.mini, p - res.l + 1); } } } } res.vr = b.vr; if (b.xo != 0) { int pre = b.xo; for (auto [x, p] : a.vr) { if ((x | pre) != pre) { pre |= x; res.vr.eb(pre, p); if (pre == (1 << K) - 1) { chmin(res.mini, res.r - p + 1); } } } } rep(i, SZ(a.vr)) { rep(j, SZ(b.vl)) { if ((a.vr[i].fi | b.vl[j].fi) == (1 << K) - 1) { chmin(res.mini, b.vl[j].se - a.vr[i].se + 1); } } } return res; } }; void slv() { // input int N; cin >> N >> K; V A(N); cin >> A; V vec; // Let's solve! rep(i, N) vec.eb(i, A[i]); segtree seg(vec); int Q; cin >> Q; rep(q, Q) { int tp, l, r; cin >> tp >> l >> r; --l; if (tp == 1) { seg.set(l, C(l, r)); } else { auto res = seg.prod(l, r); if (res.mini != INF) { show(res.mini); } else { show(-1); } } } } int main() { int cases = 1; // cin >> cases; rep(i, cases) slv(); return 0; }