// QCFium 法 #pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #ifndef HIDDEN_IN_VS // 折りたたみ用 // 警告の抑制 #define _CRT_SECURE_NO_WARNINGS // ライブラリの読み込み #include using namespace std; // 型名の短縮 using ll = long long; using ull = unsigned long long; // -2^63 ~ 2^63 = 9e18(int は -2^31 ~ 2^31 = 2e9) using pii = pair; using pll = pair; using pil = pair; using pli = pair; using vi = vector; using vvi = vector; using vvvi = vector; using vvvvi = vector; using vl = vector; using vvl = vector; using vvvl = vector; using vvvvl = vector; using vb = vector; using vvb = vector; using vvvb = vector; using vc = vector; using vvc = vector; using vvvc = vector; using vd = vector; using vvd = vector; using vvvd = vector; template using priority_queue_rev = priority_queue, greater>; using Graph = vvi; // 定数の定義 const double PI = acos(-1); int DX[4] = { 1, 0, -1, 0 }; // 4 近傍(下,右,上,左) int DY[4] = { 0, 1, 0, -1 }; int INF = 1001001001; ll INFL = 4004004003094073385LL; // (int)INFL = INF, (int)(-INFL) = -INF; // 入出力高速化 struct fast_io { fast_io() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(18); } } fastIOtmp; // 汎用マクロの定義 #define all(a) (a).begin(), (a).end() #define sz(x) ((int)(x).size()) #define lbpos(a, x) (int)distance((a).begin(), std::lower_bound(all(a), (x))) #define ubpos(a, x) (int)distance((a).begin(), std::upper_bound(all(a), (x))) #define Yes(b) {cout << ((b) ? "Yes\n" : "No\n");} #define rep(i, n) for(int i = 0, i##_len = int(n); i < i##_len; ++i) // 0 から n-1 まで昇順 #define repi(i, s, t) for(int i = int(s), i##_end = int(t); i <= i##_end; ++i) // s から t まで昇順 #define repir(i, s, t) for(int i = int(s), i##_end = int(t); i >= i##_end; --i) // s から t まで降順 #define repe(v, a) for(const auto& v : (a)) // a の全要素(変更不可能) #define repea(v, a) for(auto& v : (a)) // a の全要素(変更可能) #define repb(set, d) for(int set = 0, set##_ub = 1 << int(d); set < set##_ub; ++set) // d ビット全探索(昇順) #define repis(i, set) for(int i = lsb(set), bset##i = set; i < 32; bset##i -= 1 << i, i = lsb(bset##i)) // set の全要素(昇順) #define repp(a) sort(all(a)); for(bool a##_perm = true; a##_perm; a##_perm = next_permutation(all(a))) // a の順列全て(昇順) #define uniq(a) {sort(all(a)); (a).erase(unique(all(a)), (a).end());} // 重複除去 #define EXIT(a) {cout << (a) << endl; exit(0);} // 強制終了 #define inQ(x, y, u, l, d, r) ((u) <= (x) && (l) <= (y) && (x) < (d) && (y) < (r)) // 半開矩形内判定 // 汎用関数の定義 template inline ll powi(T n, int k) { ll v = 1; rep(i, k) v *= n; return v; } template inline bool chmax(T& M, const T& x) { if (M < x) { M = x; return true; } return false; } // 最大値を更新(更新されたら true を返す) template inline bool chmin(T& m, const T& x) { if (m > x) { m = x; return true; } return false; } // 最小値を更新(更新されたら true を返す) template inline T getb(T set, int i) { return (set >> i) & T(1); } template inline T smod(T n, T m) { n %= m; if (n < 0) n += m; return n; } // 非負mod // 演算子オーバーロード template inline istream& operator>>(istream& is, pair& p) { is >> p.first >> p.second; return is; } template inline istream& operator>>(istream& is, vector& v) { repea(x, v) is >> x; return is; } template inline vector& operator--(vector& v) { repea(x, v) --x; return v; } template inline vector& operator++(vector& v) { repea(x, v) ++x; return v; } #endif // 折りたたみ用 #if __has_include() #include using namespace atcoder; #ifdef _MSC_VER #include "localACL.hpp" #endif //using mint = modint1000000007; using mint = modint998244353; //using mint = static_modint<1234567891>; //using mint = modint; // mint::set_mod(m); namespace atcoder { inline istream& operator>>(istream& is, mint& x) { ll x_; is >> x_; x = x_; return is; } inline ostream& operator<<(ostream& os, const mint& x) { os << x.val(); return os; } } using vm = vector; using vvm = vector; using vvvm = vector; using vvvvm = vector; using pim = pair; #endif #ifdef _MSC_VER // 手元環境(Visual Studio) #include "local.hpp" #else // 提出用(gcc) inline int popcount(int n) { return __builtin_popcount(n); } inline int popcount(ll n) { return __builtin_popcountll(n); } inline int lsb(int n) { return n != 0 ? __builtin_ctz(n) : 32; } inline int lsb(ll n) { return n != 0 ? __builtin_ctzll(n) : 64; } template inline int lsb(const bitset& b) { return b._Find_first(); } inline int msb(int n) { return n != 0 ? (31 - __builtin_clz(n)) : -1; } inline int msb(ll n) { return n != 0 ? (63 - __builtin_clzll(n)) : -1; } #define dump(...) #define dumpel(v) #define dump_list(v) #define dump_mat(v) #define input_from_file(f) #define output_to_file(f) #define Assert(b) { if (!(b)) { vc MLE(1<<30); EXIT(MLE.back()); } } // RE の代わりに MLE を出す #endif struct S { int len; // 区間に含まれる連続部分列で,総 AND が 0 になるものの最小長さ vector ls; // 左端を含む (累積 AND, 最小長さ) の昇順列 vector rs; // 右端を含む (累積 AND, 最小長さ) の昇順列 int width; // 区間の幅 #ifdef _MSC_VER friend ostream& operator<<(ostream& os, const S& x) { os << "(" << x.len << "," << x.ls << "," << x.rs << "," << x.width << ")"; return os; } #endif }; S op(S x, S y) { S z; z.len = min(x.len, y.len); z.ls = move(x.ls); z.rs = move(y.rs); z.width = x.width + y.width; int nx = sz(x.rs), ny = sz(y.ls); int pt_x = 0, pt_y = ny - 1; while (pt_x < nx && pt_y >= 0) { auto [vx, wx] = x.rs[pt_x]; auto [vy, wy] = y.ls[pt_y]; if ((vx & vy) == 0) { chmin(z.len, wx + wy); pt_y--; } else { pt_x++; } } int val = z.ls.back().first, width = x.width; for (auto [v, w] : y.ls) { v &= val; w += width; if (v == 0) { chmin(z.len, w); break; } if (z.ls.back().first != v) { z.ls.emplace_back(v, w); } } val = z.rs.back().first, width = y.width; for (auto [v, w] : x.rs) { v &= val; w += width; if (v == 0) { chmin(z.len, w); break; } if (z.rs.back().first != v) { z.rs.emplace_back(v, w); } } return z; } S e() { S z; z.len = INF; z.ls = vector{ {~0, 0} }; z.rs = vector{ {~0, 0} }; z.width = 0; return z; } int main() { // input_from_file("input.txt"); // output_to_file("output.txt"); int n, k; cin >> n >> k; int mask = (1 << k) - 1; vi a(n); cin >> a; rep(i, n) a[i] ^= mask; vector ini(n); rep(i, n) { if (a[i] == 0) { ini[i].len = 1; ini[i].ls = vector{{~0, 0}}; ini[i].rs = vector{{~0, 0}}; ini[i].width = 1; } else { ini[i].len = INF; ini[i].ls = vector{ {~0, 0}, {a[i], 1} }; ini[i].rs = vector{ {~0, 0}, {a[i], 1} }; ini[i].width = 1; } } segtree seg(ini); dump(seg); int q; cin >> q; rep(hoge, q) { int tp; cin >> tp; if (tp == 1) { int i, v; cin >> i >> v; i--; v ^= mask; S z; if (v == 0) { z.len = 1; z.ls = vector{ {~0, 0} }; z.rs = vector{ {~0, 0} }; z.width = 1; } else { z.len = INF; z.ls = vector{ {~0, 0}, {v, 1} }; z.rs = vector{ {~0, 0}, {v, 1} }; z.width = 1; } seg.set(i, z); } else { int l, r; cin >> l >> r; l--; auto res = seg.prod(l, r); dump(res); if (res.len == INF) res.len = -1; cout << res.len << "\n"; } dump(seg); } }