#line 1 "segment_tree_beats.test.cpp" #define PROBLEM "https://yukicoder.me/problems/no/880" #line 2 "/Users/kodamankod/Desktop/CppProcon/Library/proconlib/container/segment_tree_beats.cpp" #include #include #include #include #line 2 "/Users/kodamankod/Desktop/CppProcon/Library/proconlib/utility/int_alias.cpp" #include using i32 = std::int32_t; using u32 = std::uint32_t; using i64 = std::int64_t; using u64 = std::uint64_t; using i128 = __int128_t; using u128 = __uint128_t; #line 3 "/Users/kodamankod/Desktop/CppProcon/Library/proconlib/utility/ceil_log2.cpp" __attribute__((target("avx2"))) constexpr int ceil_log2(const u64 x) { int e = 0; while (((u64)1 << e) < x) ++e; return e; } #line 3 "/Users/kodamankod/Desktop/CppProcon/Library/proconlib/utility/countr_zero.cpp" __attribute__((target("avx2"))) constexpr int countr_zero(const u64 x) { return x == 0 ? 64 : __builtin_ctzll(x); } #line 2 "/Users/kodamankod/Desktop/CppProcon/Library/proconlib/utility/rep.cpp" #include class Range { struct Iter { int itr; constexpr Iter(const int pos) noexcept : itr(pos) {} constexpr void operator++() noexcept { ++itr; } constexpr bool operator!=(const Iter& other) const noexcept { return itr != other.itr; } constexpr int operator*() const noexcept { return itr; } }; const Iter first, last; public: explicit constexpr Range(const int first, const int last) noexcept : first(first), last(std::max(first, last)) {} constexpr Iter begin() const noexcept { return first; } constexpr Iter end() const noexcept { return last; } }; constexpr Range rep(const int l, const int r) noexcept { return Range(l, r); } constexpr Range rep(const int n) noexcept { return Range(0, n); } #line 3 "/Users/kodamankod/Desktop/CppProcon/Library/proconlib/utility/revrep.cpp" class ReversedRange { struct Iter { int itr; constexpr Iter(const int pos) noexcept : itr(pos) {} constexpr void operator++() noexcept { --itr; } constexpr bool operator!=(const Iter& other) const noexcept { return itr != other.itr; } constexpr int operator*() const noexcept { return itr; } }; const Iter first, last; public: explicit constexpr ReversedRange(const int first, const int last) noexcept : first(last - 1), last(std::min(first, last) - 1) {} constexpr Iter begin() const noexcept { return first; } constexpr Iter end() const noexcept { return last; } }; constexpr ReversedRange revrep(const int l, const int r) noexcept { return ReversedRange(l, r); } constexpr ReversedRange revrep(const int n) noexcept { return ReversedRange(0, n); } #line 10 "/Users/kodamankod/Desktop/CppProcon/Library/proconlib/container/segment_tree_beats.cpp" template class SegmentTreeBeats { using M = typename A::Monoid; using E = typename A::Effector; using T = typename M::Type; using U = typename E::Type; int internal_size, logn, seg_size; std::vector data; std::vector lazy; void fetch(const int k) { data[k] = M::operation(data[2 * k], data[2 * k + 1]); } void apply(const int k, const U& e) { if (k >= seg_size) { data[k] = A::operation(data[k], e).value(); return; } lazy[k] = E::operation(lazy[k], e); std::optional result = A::operation(data[k], e); if (result) { data[k] = std::move(*result); } else { flush(k); fetch(k); } } void flush(const int k) { apply(2 * k, lazy[k]); apply(2 * k + 1, lazy[k]); lazy[k] = E::identity(); } void push(const int k) { for (const int d : revrep(countr_zero(k) + 1, logn + 1)) flush(k >> d); } void pull(int k) { for (k >>= countr_zero(k); k > 1;) fetch(k >>= 1); } public: explicit SegmentTreeBeats(const int size = 0, const T& value = M::identity()) : SegmentTreeBeats(std::vector(size, value)) {} explicit SegmentTreeBeats(const std::vector& vec) : internal_size(vec.size()) { logn = ceil_log2(internal_size); seg_size = 1 << logn; data = std::vector(2 * seg_size, M::identity()); lazy = std::vector(seg_size, E::identity()); for (const int i : rep(0, internal_size)) data[seg_size + i] = vec[i]; for (const int i : revrep(1, seg_size)) fetch(i); } int size() const { return internal_size; } void assign(int i, const T& value) { assert(0 <= i and i < internal_size); i += seg_size; for (const int d : revrep(1, logn + 1)) flush(i >> d); data[i] = value; for (const int d : rep(1, logn + 1)) fetch(i >> d); } void operate(int l, int r, const U& e) { assert(0 <= l and l <= r and r <= internal_size); l += seg_size; r += seg_size; push(l); push(r); for (int l0 = l, r0 = r; l0 < r0; l0 >>= 1, r0 >>= 1) { if (l0 & 1) apply(l0++, e); if (r0 & 1) apply(--r0, e); } pull(l); pull(r); } T fold() const { return data[1]; } T fold(int l, int r) { assert(0 <= l and l <= r and r <= internal_size); l += seg_size; r += seg_size; push(l); push(r); T ret_l = M::identity(), ret_r = M::identity(); while (l < r) { if (l & 1) ret_l = M::operation(ret_l, data[l++]); if (r & 1) ret_r = M::operation(data[--r], ret_r); l >>= 1; r >>= 1; } return M::operation(ret_l, ret_r); } template int max_right(int l, const F& f) { assert(0 <= l and l <= internal_size); assert(f(M::identity())); if (l == internal_size) return internal_size; l += seg_size; for (const int d : revrep(1, logn + 1)) flush(l >> d); T sum = M::identity(); do { while (!(l & 1)) l >>= 1; if (!f(M::operation(sum, data[l]))) { while (l < seg_size) { flush(l); l = 2 * l; if (f(M::operation(sum, data[l]))) sum = M::operation(sum, data[l++]); } return l - seg_size; } sum = M::operation(sum, data[l++]); } while ((l & -l) != l); return internal_size; } template int min_left(int r, const F& f) { assert(0 <= r and r <= internal_size); assert(f(M::identity())); if (r == 0) return 0; r += seg_size; for (const int d : revrep(1, logn + 1)) flush((r - 1) >> d); T sum = M::identity(); do { r -= 1; while (r > 1 and (r & 1)) r >>= 1; if (!f(M::operation(data[r], sum))) { while (r < seg_size) { flush(r); r = 2 * r + 1; if (f(M::operation(data[r], sum))) sum = M::operation(data[r--], sum); } return r + 1 - seg_size; } sum = M::operation(data[r], sum); } while ((r & -r) != r); return 0; } }; #line 3 "segment_tree_beats.test.cpp" #include #include #line 9 "segment_tree_beats.test.cpp" constexpr u32 MAX = 1000000000; struct Info { u32 max, lcm; u64 sum; int len; static Info all_same(const u32 x, const int l) { return {x, x, x * l, l}; } }; struct Operate { u32 assign, gcd; }; struct Structure { struct Monoid { using Type = Info; static Info identity() { return {0, 1, 0, 0}; } static Info operation(const Info& l, const Info& r) { return { std::max(l.max, r.max), (u32)std::min(std::lcm(l.lcm, r.lcm), MAX + 1), l.sum + r.sum, l.len + r.len, }; } }; struct Effector { using Type = Operate; static Operate identity() { return {0, 0}; } static Operate operation(const Operate& l, const Operate& r) { if (r.assign) return r; if (l.assign) return {std::gcd(l.assign, r.gcd), 0}; return {0, std::gcd(l.gcd, r.gcd)}; } }; static std::optional operation(const Info& m, const Operate& e) { if (m.len == 0) return m; if (e.assign) return Info::all_same(e.assign, m.len); if (e.gcd % m.lcm == 0) return m; if (m.len == 1) return Info::all_same(std::gcd(m.max, e.gcd), 1); return std::nullopt; } }; int main() { int N, Q; std::cin >> N >> Q; std::vector build; build.reserve(N); while (N--) { u32 x; std::cin >> x; build.push_back(Info::all_same(x, 1)); } SegmentTreeBeats seg(build); while (Q--) { int t, l, r; std::cin >> t >> l >> r; l -= 1; if (t <= 2) { u32 x; std::cin >> x; if (t == 1) seg.operate(l, r, {x, 0}); else seg.operate(l, r, {0, x}); } else { const auto m = seg.fold(l, r); std::cout << (t == 3 ? m.max : m.sum) << '\n'; } } return 0; }