#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using lint = long long; using pint = pair; using plint = pair; struct fast_ios { fast_ios(){ cin.tie(nullptr), ios::sync_with_stdio(false), cout << fixed << setprecision(20); }; } fast_ios_; #define ALL(x) (x).begin(), (x).end() #define FOR(i, begin, end) for(int i=(begin),i##_end_=(end);i=i##_begin_;i--) #define REP(i, n) FOR(i,0,n) #define IREP(i, n) IFOR(i,0,n) template bool chmax(T &m, const T q) { return m < q ? (m = q, true) : false; } template bool chmin(T &m, const T q) { return m > q ? (m = q, true) : false; } const std::vector> grid_dxs{{1, 0}, {-1, 0}, {0, 1}, {0, -1}}; int floor_lg(long long x) { return x <= 0 ? -1 : 63 - __builtin_clzll(x); } template T1 floor_div(T1 num, T2 den) { return (num > 0 ? num / den : -((-num + den - 1) / den)); } template std::pair operator+(const std::pair &l, const std::pair &r) { return std::make_pair(l.first + r.first, l.second + r.second); } template std::pair operator-(const std::pair &l, const std::pair &r) { return std::make_pair(l.first - r.first, l.second - r.second); } template std::vector sort_unique(std::vector vec) { sort(vec.begin(), vec.end()), vec.erase(unique(vec.begin(), vec.end()), vec.end()); return vec; } template int arglb(const std::vector &v, const T &x) { return std::distance(v.begin(), std::lower_bound(v.begin(), v.end(), x)); } template int argub(const std::vector &v, const T &x) { return std::distance(v.begin(), std::upper_bound(v.begin(), v.end(), x)); } template IStream &operator>>(IStream &is, std::vector &vec) { for (auto &v : vec) is >> v; return is; } template OStream &operator<<(OStream &os, const std::vector &vec); template OStream &operator<<(OStream &os, const std::array &arr); template OStream &operator<<(OStream &os, const std::unordered_set &vec); template OStream &operator<<(OStream &os, const pair &pa); template OStream &operator<<(OStream &os, const std::deque &vec); template OStream &operator<<(OStream &os, const std::set &vec); template OStream &operator<<(OStream &os, const std::multiset &vec); template OStream &operator<<(OStream &os, const std::unordered_multiset &vec); template OStream &operator<<(OStream &os, const std::pair &pa); template OStream &operator<<(OStream &os, const std::map &mp); template OStream &operator<<(OStream &os, const std::unordered_map &mp); template OStream &operator<<(OStream &os, const std::tuple &tpl); template OStream &operator<<(OStream &os, const std::vector &vec) { os << '['; for (auto v : vec) os << v << ','; os << ']'; return os; } template OStream &operator<<(OStream &os, const std::array &arr) { os << '['; for (auto v : arr) os << v << ','; os << ']'; return os; } template std::istream &operator>>(std::istream &is, std::tuple &tpl) { std::apply([&is](auto &&... args) { ((is >> args), ...);}, tpl); return is; } template OStream &operator<<(OStream &os, const std::tuple &tpl) { os << '('; std::apply([&os](auto &&... args) { ((os << args << ','), ...);}, tpl); return os << ')'; } template OStream &operator<<(OStream &os, const std::unordered_set &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::deque &vec) { os << "deq["; for (auto v : vec) os << v << ','; os << ']'; return os; } template OStream &operator<<(OStream &os, const std::set &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::multiset &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::unordered_multiset &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::pair &pa) { return os << '(' << pa.first << ',' << pa.second << ')'; } template OStream &operator<<(OStream &os, const std::map &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::unordered_map &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; } #ifdef HITONANODE_LOCAL const string COLOR_RESET = "\033[0m", BRIGHT_GREEN = "\033[1;32m", BRIGHT_RED = "\033[1;31m", BRIGHT_CYAN = "\033[1;36m", NORMAL_CROSSED = "\033[0;9;37m", RED_BACKGROUND = "\033[1;41m", NORMAL_FAINT = "\033[0;2m"; #define dbg(x) std::cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET << std::endl #define dbgif(cond, x) ((cond) ? std::cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET << std::endl : std::cerr) #else #define dbg(x) ((void)0) #define dbgif(cond, x) ((void)0) #endif #include constexpr int inf = 1 << 29; int op(int l, int r) { return l | r; } int e() { return 0; } int opmin(int l, int r) { return min(l, r); } int emin() { return inf; } #include #include #include // Sorted set of integers [0, n) // Space complexity: (64 / 63) n + O(log n) bit class fast_set { static constexpr int B = 64; int n; int cnt; std::vector> _d; static int bsf(uint64_t x) { return __builtin_ctzll(x); } static int bsr(uint64_t x) { return 63 - __builtin_clzll(x); } public: // 0 以上 n_ 未満の整数が入れられる sorted set を作成 fast_set(int n_) : n(n_), cnt(0) { do { n_ = (n_ + B - 1) / B, _d.push_back(std::vector(n_)); } while (n_ > 1); } bool contains(int i) const { assert(0 <= i and i < n); return (_d.front().at(i / B) >> (i % B)) & 1; } void insert(int i) { assert(0 <= i and i < n); if (contains(i)) return; ++cnt; for (auto &vec : _d) { bool f = vec.at(i / B); vec.at(i / B) |= 1ULL << (i % B), i /= B; if (f) break; } } void erase(int i) { assert(0 <= i and i < n); if (!contains(i)) return; --cnt; for (auto &vec : _d) { vec.at(i / B) &= ~(1ULL << (i % B)), i /= B; if (vec.at(i)) break; } } // i 以上の最小要素 なければ default_val int next(int i, const int default_val) const { assert(0 <= i and i <= n); for (auto itr = _d.cbegin(); itr != _d.cend(); ++itr, i = i / B + 1) { if (i / B >= int(itr->size())) break; if (auto d = itr->at(i / B) >> (i % B); d) { i += bsf(d); while (itr != _d.cbegin()) i = i * B + bsf((--itr)->at(i)); return i; } } return default_val; } int next(const int i) const { return next(i, n); } // i 以下の最小要素 なければ default_val int prev(int i, int default_val = -1) const { assert(-1 <= i and i < n); for (auto itr = _d.cbegin(); itr != _d.cend() and i >= 0; ++itr, i = i / B - 1) { if (auto d = itr->at(i / B) << (B - 1 - i % B); d) { i += bsr(d) - (B - 1); while (itr != _d.cbegin()) i = i * B + bsr((--itr)->at(i)); return i; } } return default_val; } // return minimum element (if exists) or `n` (empty) int min() const { return next(0); } // return maximum element (if exists) or `-1` (empty) int max() const { return prev(n - 1); } int size() const { return cnt; } bool empty() const { return cnt == 0; } void clear() { if (!cnt) return; cnt = 0; auto rec = [&](auto &&self, int d, int x) -> void { if (d) { for (auto m = _d.at(d).at(x); m;) { int i = bsf(m); m -= 1ULL << i, self(self, d - 1, x * B + i); } } _d.at(d).at(x) = 0; }; rec(rec, _d.size() - 1, 0); } }; int main() { int N, K; cin >> N >> K; const int full = (1 << K) - 1; vector A(N); cin >> A; dbg(A); vector fss(K, fast_set(N)); int Q; cin >> Q; vector> qs(Q); constexpr int U = 500; atcoder::segtree seg_a(A); atcoder::segtree seg_min((vector(N, emin()))); auto set_i = [&](int i) { REP(d, K) { if ((A.at(i) >> d) & 1) { fss.at(d).insert(i); } else { fss.at(d).erase(i); } } int w = seg_a.max_right(i, [&](int x) { return x < full; }) - i + 1; if (i + w > N) w = emin(); seg_min.set(i, w); }; REP(i, N) { set_i(i); dbg(make_tuple(i, seg_min.get(i))); } // vector xs{0, N}; for (auto &[tp, l, r] : qs) { cin >> tp >> l >> r; --l; if (tp == 1) { seg_a.set(l, r); FOR(i, l - U, l + 1) { if (i < 0) continue; A.at(i) = r; set_i(i); dbg(make_tuple(i, seg_min.get(i))); } } else { dbg(make_tuple(l, r)); const int w = r - l; int tmp = emin(); if (w >= U) { chmin(tmp, seg_min.prod(l, r - U)); } FOR(i, r - U, r) { if (i >= l) { int w2 = seg_min.get(i); if (w2 <= U and i + w2 <= r) chmin(tmp, w2); } } if (tmp <= U) { cout << tmp << '\n'; } else { tmp = inf; for (int c = l + U; c < r; c += U) { REP(k, K) { int i = fss.at(k).prev(c - 1, -1); if (i >= 0) { int rr = seg_a.max_right(i, [&](int x) { return x < full; }); if (rr <= r) chmin(tmp, rr - i + 1); // chmin(tmp, ) } } } if (tmp == inf) tmp = -1; cout << tmp << '\n'; } } } // xs = sort_unique(xs); // dbg(xs); // vector belong_to(N + 1); // for (int x : xs) { // if (x != 0) belong_to.at(x)++; // } // FOR(i, 1, belong_to.size()) belong_to.at(i) += belong_to.at(i - 1); // dbg(belong_to); // const int M = xs.size() - 1; // assert(belong_to.back() == M); // vector cntr(M, vector(K)); // REP(i, N) { // REP(d, K) cntr.at(belong_to.at(i)).at(d) += (A.at(i) >> d) & 1; // } // for (auto [tp, l, r] : qs) { // if (tp == 1) { // const int i = l; // int g = belong_to.at(i); // REP(d, K) cntr.at(g).at(d) -= (A.at(i) >> d) & 1; // A.at(i) = r; // REP(d, K) cntr.at(g).at(d) += (A.at(i) >> d) & 1; // } else { // l = belong_to.at(l), r = belong_to.at(r); // } // } }