結果
問題 | No.925 紲星 Extra |
ユーザー | Pachicobue |
提出日時 | 2019-11-09 07:43:26 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
TLE
|
実行時間 | - |
コード長 | 24,251 bytes |
コンパイル時間 | 3,077 ms |
コンパイル使用メモリ | 233,720 KB |
実行使用メモリ | 136,576 KB |
最終ジャッジ日時 | 2024-09-15 04:02:43 |
合計ジャッジ時間 | 26,050 ms |
ジャッジサーバーID (参考情報) |
judge4 / judge5 |
(要ログイン)
テストケース
テストケース表示入力 | 結果 | 実行時間 実行使用メモリ |
---|---|---|
testcase_00 | AC | 2 ms
5,248 KB |
testcase_01 | AC | 2 ms
5,376 KB |
testcase_02 | AC | 2 ms
5,376 KB |
testcase_03 | AC | 17 ms
5,376 KB |
testcase_04 | AC | 18 ms
5,376 KB |
testcase_05 | AC | 3,618 ms
135,808 KB |
testcase_06 | AC | 3,518 ms
136,576 KB |
testcase_07 | AC | 3,598 ms
135,936 KB |
testcase_08 | TLE | - |
testcase_09 | -- | - |
testcase_10 | -- | - |
testcase_11 | -- | - |
testcase_12 | -- | - |
testcase_13 | -- | - |
testcase_14 | -- | - |
testcase_15 | -- | - |
testcase_16 | -- | - |
testcase_17 | -- | - |
testcase_18 | -- | - |
testcase_19 | -- | - |
testcase_20 | -- | - |
testcase_21 | -- | - |
ソースコード
#include <bits/stdc++.h> #pragma GCC diagnostic ignored "-Wsign-compare" #pragma GCC diagnostic ignored "-Wsign-conversion" using i32 = int32_t; using i64 = int64_t; using u32 = uint32_t; using u64 = uint64_t; using uint = unsigned int; using usize = std::size_t; using ll = long long; using ull = unsigned long long; using ld = long double; template<typename T> constexpr T popcount(const T u) { return u ? static_cast<T>(__builtin_popcountll(static_cast<u64>(u))) : static_cast<T>(0); } template<typename T> constexpr T log2p1(const T u) { return u ? static_cast<T>(64 - __builtin_clzll(static_cast<u64>(u))) : static_cast<T>(0); } template<typename T> constexpr T msbp1(const T u) { return log2p1(u); } template<typename T> constexpr T lsbp1(const T u) { return __builtin_ffsll(u); } template<typename T> constexpr T clog(const T u) { return u ? log2p1(u - 1) : static_cast<T>(u); } template<typename T> constexpr bool ispow2(const T u) { return u and (static_cast<u64>(u) & static_cast<u64>(u - 1)) == 0; } template<typename T> constexpr T ceil2(const T u) { return static_cast<T>(1) << clog(u); } template<typename T> constexpr T floor2(const T u) { return u == 0 ? static_cast<T>(0) : static_cast<T>(1) << (log2p1(u) - 1); } template<typename T> constexpr bool btest(const T mask, const usize ind) { return static_cast<bool>((static_cast<u64>(mask) >> ind) & static_cast<u64>(1)); } template<typename T> void bset(T& mask, const usize ind) { mask |= (static_cast<T>(1) << ind); } template<typename T> void breset(T& mask, const usize ind) { mask &= ~(static_cast<T>(1) << ind); } template<typename T> void bflip(T& mask, const usize ind) { mask ^= (static_cast<T>(1) << ind); } template<typename T> void bset(T& mask, const usize ind, const bool b) { (b ? bset(mask, ind) : breset(mask, ind)); } template<typename T> constexpr T bcut(const T mask, const usize ind) { return ind == 0 ? static_cast<T>(0) : static_cast<T>((static_cast<u64>(mask) << (64 - ind)) >> (64 - ind)); } template<typename T> bool chmin(T& a, const T& b) { return (a > b ? a = b, true : false); } template<typename T> bool chmax(T& a, const T& b) { return (a < b ? a = b, true : false); } constexpr unsigned int mod = 1000000007; template<typename T> constexpr T inf_v = std::numeric_limits<T>::max() / 4; template<typename Real> constexpr Real pi_v = Real{3.141592653589793238462643383279502884}; template<typename T> T read() { T v; return std::cin >> v, v; } template<typename T, typename... Args> auto read(const usize size, Args... args) { std::vector<decltype(read<T>(args...))> ans(size); for (usize i = 0; i < size; i++) { ans[i] = read<T>(args...); } return ans; } template<typename... Types> auto reads() { return std::tuple<std::decay_t<Types>...>{read<Types>()...}; } # define SHOW(...) static_cast<void>(0) template<typename T> T make_v(const T v) { return v; } template<typename... Args> auto make_v(const std::size_t size, Args... args) { return std::vector<decltype(make_v(args...))>(size, make_v(args...)); } namespace bbst_node { template<typename Key, typename Node, typename Comp> struct key_node : Node { using ptr = key_node* const; using const_ptr = const ptr; using key_type = Key; using comp_type = Comp; key_node() : Node{}, key{Key{}} {} template<typename... Args> key_node(const Key& key, Args... args) : Node{args...}, key{key} { this->sz = 1; } void pull_up(const_ptr l, const_ptr r) { Node::pull_up(l, r); } void push_down(ptr l, ptr r) { Node::push_down(l, r); } template<typename Value> void set(const Value& val, const_ptr l, const_ptr r) { Node::set(val, l, r); } template<typename Op> void act(const Op& o) { Node::act(o); } friend std::ostream& operator<<(std::ostream& os, const key_node& n) { return os << "key=" << n.key << ":" << static_cast<Node>(n); } const key_type key; }; struct node { using ptr = node* const; using const_ptr = const ptr; void pull_up(const_ptr l, const_ptr r) { sz = (l ? l->sz : 0UL) + 1UL + (r ? r->sz : 0UL); } void push_down(ptr, ptr) {} friend std::ostream& operator<<(std::ostream& os, const node& n) { return os << "size=" << n.sz; } usize sz = 0; }; template<typename Value> struct value_node { using ptr = value_node* const; using const_ptr = const ptr; using value_type = Value; value_node() = default; value_node(const value_type& value) : value{value}, sz{1} {} void pull_up(const_ptr l, const_ptr r) { sz = (l ? l->sz : 0UL) + 1UL + (r ? r->sz : 0UL); } void push_down(ptr, ptr) {} void set(const value_type& val, const_ptr, const_ptr) { value = val; } friend std::ostream& operator<<(std::ostream& os, const value_node& n) { return os << "value=" << n.value; } value_type value{}; usize sz = 0; }; template<typename ValueMonoid> struct merge_node { using ptr = merge_node* const; using const_ptr = const ptr; using value_monoid_type = ValueMonoid; using value_type = typename value_monoid_type::value_type; merge_node() = default; merge_node(const value_type& value) : value{value}, merged{value}, sz{1} {} void pull_up(const_ptr l, const_ptr r) { sz = (l ? l->sz : 0UL) + 1UL + (r ? r->sz : 0UL), merged = value_monoid_type::merge((l ? l->merged : value_monoid_type::id()), value_monoid_type::merge(value, (r ? r->merged : value_monoid_type::id()))); } void push_down(ptr, ptr) {} void set(const value_type& val, const_ptr l, const_ptr r) { value = val, pull_up(l, r); } friend std::ostream& operator<<(std::ostream& os, const merge_node& n) { return os << "value=" << n.value << ",merged=" << n.merged; } value_type value = value_monoid_type::id(), merged = value_monoid_type::id(); usize sz = 0; }; template<typename MonoidAct> struct lazy_node { using ptr = lazy_node* const; using const_ptr = const ptr; using monoid_act_type = MonoidAct; using value_monoid_type = typename monoid_act_type::value_monoid_type; using operator_monoid_type = typename monoid_act_type::operator_monoid_type; using value_type = typename value_monoid_type::value_type; using operator_type = typename operator_monoid_type::operator_type; lazy_node() = default; lazy_node(const value_type& value) : value{value}, merged{value}, sz{1} {} void pull_up(const_ptr l, const_ptr r) { sz = (l ? l->sz : 0UL) + 1UL + (r ? r->sz : 0UL), merged = value_monoid_type::merge((l ? l->merged : value_monoid_type::id()), value_monoid_type::merge(value, (r ? r->merged : value_monoid_type::id()))); } void push_down(ptr l, ptr r) { if (op == operator_monoid_type::id()) { return; } if (l) { l->act(op); } if (r) { r->act(op); } op = operator_monoid_type::id(); } void set(const value_type& val, const_ptr l, const_ptr r) { value = val, pull_up(l, r); } void act(const operator_type& o) { value = monoid_act_type::apply(o, value, 1), merged = monoid_act_type::apply(o, merged, sz), op = operator_monoid_type::compose(op, o); } friend std::ostream& operator<<(std::ostream& os, const lazy_node& n) { return os << "value=" << n.value << ",merged=" << n.merged << ",op=" << n.op; } value_type value = value_monoid_type::id(), merged = value_monoid_type::id(); operator_type op = operator_monoid_type::id(); usize sz = 0; }; } // namespace bbst_node template<typename NodeData> class base_splaytree { private: class node { using ptr = node*; using const_ptr = const node* const; using tree = ptr; public: node() : node_data{} {} template<typename... Args> node(Args... args) : node_data{args...} {} usize size() const { return node_data.sz; } const NodeData& data() const { return node_data; } template<typename Operator> void act(const Operator& op) { node_data.act(op); } template<typename Value> void set(const Value& value) { node_data.set(value, data_ptr_of(l), data_ptr_of(r)), pull_up(); } friend std::ostream& operator<<(std::ostream& os, const node& n) { return os << "[" << n.node_data << "]"; } bool has_left() const { return l; } bool has_right() const { return r; } bool has_parent() const { return p; } const node& left() const { return deptr(l); } const node& right() const { return deptr(r); } const node& parent() const { return deptr(p); } static node& deptr(ptr x) { return x ? (*x) : empty_node; } static ptr merge(tree tp1, tree tp2) { if (not tp1) { return tp2; } if (not tp2) { return tp1; } ptr lp2 = kth_ptr(tp2, 0); return tp2 = (lp2->splay(), lp2), tp2->push_down(), tp2->l = tp1, tp1->p = tp2, tp2->pull_up(), tp2; } static std::pair<ptr, ptr> split_at(tree tp, const usize pos) { return split(tp, kth_ptr(tp, pos)); } static std::tuple<ptr, ptr, ptr> split_range(tree tp, const usize pos_min, const usize pos_sup) { auto ts = split_at(tp, pos_min), trs = split_at(ts.second, pos_sup - pos_min); return std::make_tuple(ts.first, trs.first, trs.second); } template<typename Key> static std::pair<ptr, ptr> split_lower(tree tp, const Key& key) { return split(tp, lower_bound(tp, key)); } template<typename Key> static std::pair<ptr, ptr> split_upper(tree tp, const Key& key) { return split(tp, upper_bound(tp, key)); } template<typename Key> static std::tuple<ptr, ptr, ptr> split_key_range(tree tp, const Key& key_min, const Key& key_max) { auto ts = split_lower(tp, key_min), trs = split_upper(ts.second, key_max); return std::make_tuple(ts.first, trs.first, trs.second); } private: static NodeData* data_ptr_of(ptr x) { return x ? &(x->node_data) : nullptr; } static usize size_of(const_ptr x) { return x ? x->size() : 0UL; } bool is_root() const { return (not p) or (p->l != this and p->r != this); } int is_left() const { return is_root() ? 0 : (p->l == this ? 1 : -1); } void pull_up() { node_data.pull_up(data_ptr_of(l), data_ptr_of(r)); } void push_down() { node_data.push_down(data_ptr_of(l), data_ptr_of(r)); } void rot() { ptr pp = p->p; const int isl = p->is_left(); if (is_left() == 1) { p->l = r, (r ? r->p : p) = p, r = p, p->p = this; } else { p->r = l, (l ? l->p : p) = p, l = p, p->p = this; } p->pull_up(), pull_up(); p = pp; if (isl == 0) { return; } (isl == 1 ? pp->l : pp->r) = this, pp->pull_up(); } void splay() { while (not is_root()) { (p->is_root() ? rot() : is_left() == p->is_left() ? (p->rot(), rot()) : (rot(), rot())); } } static std::pair<ptr, ptr> split(tree tp, ptr p) { if (not p) { return {tp, nullptr}; } tp = (p->splay(), p); ptr lp = tp->l; if (not lp) { return std::make_pair(nullptr, tp); } return tp->push_down(), lp->p = nullptr, tp->l = nullptr, tp->pull_up(), std::make_pair(lp, tp); } static ptr kth_ptr(const tree tp, usize k) { for (ptr p = tp; p;) { p->push_down(); const usize ind = size_of(p->l); if (ind == k) { return p; } p = (k < ind ? p->l : (k -= (ind + 1), p->r)); } return nullptr; } template<typename Key> static ptr lower_bound(const tree tp, const Key& key) { static typename NodeData::comp_type comp{}; ptr ans = nullptr; for (ptr p = tp; p;) { p->push_down(), p = (comp(p->data().key, key) ? p->r : (ans = p, p->l)); } return ans; } template<typename Key> static ptr upper_bound(const tree tp, const Key& key) { static typename NodeData::comp_type comp{}; ptr ans = nullptr; for (ptr p = tp; p;) { p->push_down(), p = (comp(key, p->data().key) ? (ans = p, p->l) : p->r); } return ans; } static node empty_node; // inline変数を使いたいでござる NodeData node_data; ptr l = nullptr, r = nullptr, p = nullptr; }; using ptr = node*; using const_ptr = const node* const; ptr root = nullptr; public: base_splaytree() {} base_splaytree(const ptr r) : root{r} {} template<typename... Args> base_splaytree(Args... args) : root{new node{args...}} {} bool empty() const { return not root; } usize size() const { return root ? root->sz : 0UL; } const node& top() const { return node::deptr(root); } const node at(const usize pos) { return fold_range(pos, pos + 1); } const node fold_range(const usize pos_min, const usize pos_sup) { auto ts = node::split_range(root, pos_min, pos_sup); const node ans = node::deptr(std::get<1>(ts)); return root = node::merge(std::get<0>(ts), node::merge(std::get<1>(ts), std::get<2>(ts))), ans; } template<typename Key> const node fold_key_range(const Key& key_min, const Key& key_max) { auto ts = node::split_key_range(root, key_min, key_max); const node ans = node::deptr(std::get<1>(ts)); return root = node::merge(std::get<0>(ts), node::merge(std::get<1>(ts), std::get<2>(ts))), ans; } template<typename Key> const node fold_lower(const Key& key) { auto ts = node::split_lower(root, key); const node ans = node::deptr(ts.first); return root = node::merge(ts.first, ts.second), ans; } template<typename Key> const node fold_upper(const Key& key) { auto ts = node::split_upper(root, key); const node ans = node::deptr(ts.second); return root = node::merge(ts.first, ts.second), ans; } template<typename Value> base_splaytree& set_at(const usize pos, const Value& value) { auto ts = node::split_range(root, pos, pos + 1); std::get<1>(ts)->set(value); return root = node::merge(std::get<0>(ts), node::merge(std::get<1>(ts), std::get<2>(ts))), *this; } template<typename Key, typename Value> base_splaytree& set(const Key& key, const Value& value) { auto ts = node::split_key_range(root, key, key); std::get<1>(ts)->set(value); return root = node::merge(std::get<0>(ts), node::merge(std::get<1>(ts), std::get<2>(ts))), *this; } template<typename Op> base_splaytree& act_range(const usize pos_min, const usize pos_sup, const Op& op) { auto ts = node::split_range(root, pos_min, pos_sup); std::get<1>(ts)->act(op); return root = node::merge(std::get<0>(ts), node::merge(std::get<1>(ts), std::get<2>(ts))), *this; } template<typename Key, typename Op> base_splaytree& act_key_range(const Key& key_min, const Key& key_max, const Op& op) { auto ts = node::split_key_range(root, key_min, key_max); std::get<1>(ts)->act(op); return root = node::merge(std::get<0>(ts), node::merge(std::get<1>(ts), std::get<2>(ts))), *this; } base_splaytree& merge(base_splaytree&& t) { return root = node::merge(root, t.root), *this; } base_splaytree split_at(const usize pos) { auto ts = node::split_at(root, pos); return root = ts.first, base_splaytree(ts.second); } std::pair<base_splaytree, base_splaytree> split_range(const usize pos_min, const usize pos_sup) { auto ts = node::split_range(root, pos_min, pos_sup); return root = std::get<0>(ts), std::make_pair(base_splaytree(std::get<1>(ts)), base_splaytree(std::get<2>(ts))); } base_splaytree& erase_at(const usize pos) { auto ts = node::split_at(root, pos), trs = node::split_at(ts.second, 1); return root = node::merge(ts.first, trs.second), *this; } base_splaytree& insert_at(const usize pos, base_splaytree&& t) { auto ts = node::split_at(root, pos); return root = node::merge(node::merge(ts.first, t.root), ts.second), *this; } template<typename Key> base_splaytree split_lower(const Key& key) { auto ts = node::split_lower(root, key); return root = ts.first, base_splaytree(ts.second); } template<typename Key> base_splaytree split_upper(const Key& key) { auto ts = node::split_upper(root, key); return root = ts.first, base_splaytree(ts.second); } template<typename Key> std::pair<base_splaytree, base_splaytree> split_key_range(const Key& key_min, const Key& key_max) { auto ts = node::split_key_range(root, key_min, key_max); return root = std::get<0>(ts), std::make_pair(base_splaytree(std::get<1>(ts)), base_splaytree(std::get<2>(ts))); } base_splaytree& insert(const node& n) { auto ts = node::split_lower(root, n.data().key); return root = node::merge(node::merge(ts.first, new node{n}), ts.second), *this; } std::vector<node> data() const { if (empty()) { return std::vector<node>{}; } auto dfs = [&](auto&& self, const node& n) -> std::vector<node> { std::vector<node> ans; if (n.has_left()) { for (auto&& e : self(self, n.left())) { ans.emplace_back(e); } } ans.push_back(n); if (n.has_right()) { for (auto&& e : self(self, n.right())) { ans.emplace_back(e); } } return ans; }; return dfs(dfs, *root); } }; template<typename NodeData> typename base_splaytree<NodeData>::node base_splaytree<NodeData>::node::empty_node = node{}; template<typename Value> using splaytree = base_splaytree<bbst_node::value_node<Value>>; template<typename Key, typename Comp = std::less<Key>> using mset_splaytree = base_splaytree<bbst_node::key_node<Key, bbst_node::node, Comp>>; template<typename Key, typename Value, typename Comp = std::less<Key>> using mmap_splaytree = base_splaytree<bbst_node::key_node<Key, bbst_node::value_node<Value>, Comp>>; template<typename ValueMonoid> using merge_splaytree = base_splaytree<bbst_node::merge_node<ValueMonoid>>; template<typename MonoidAct> using lazy_splaytree = base_splaytree<bbst_node::lazy_node<MonoidAct>>; class segments { private: using P = std::pair<usize, usize>; const usize ceil; std::vector<P> rs; const usize num; // 区間0は存在しないので、実際は区間1,2,...,num-1 public: segments(const usize sz) : ceil{ceil2(sz)}, rs(ceil << 1, P{0, 0}), num{ceil << 1} { for (usize sz = 1; sz <= ceil; sz <<= 1) { const usize len = ceil / sz; for (usize j = sz; j < (sz << 1); j++) { rs[j] = {len * (j - sz), len * (j - sz + 1)}; } } } std::vector<usize> under(usize l, usize r) const { assert(l < r), assert(r <= ceil); std::vector<usize> lind, rind; for (l += ceil, r += ceil; l < r; l >>= 1, r >>= 1) { if (l & 1) { lind.push_back(l++); } if (r & 1) { rind.push_back(--r); } } for (; not rind.empty(); rind.pop_back()) { lind.push_back(rind.back()); } return lind; } std::vector<usize> over(const usize a) const { assert(a < ceil); std::vector<usize> ans; for (usize i = a + ceil; i >= 1; i >>= 1) { ans.push_back(i); } std::reverse(ans.begin(), ans.end()); return ans; } usize max_index() const { return num; } const P& operator[](const usize i) const { assert(i >= 1), assert(i < 2 * ceil); return rs[i]; } }; template<typename Element> struct plus { using element_type = Element; using operator_type = element_type; plus() = delete; static operator_type compose(const operator_type& a, const operator_type& b) { return a + b; } static constexpr operator_type id() { return operator_type{}; } }; template<typename Element> struct sum { using element_type = Element; using value_type = element_type; sum() = delete; static value_type merge(const value_type& a, const value_type& b) { return a + b; } static constexpr value_type id() { return value_type{}; } }; template<typename ValueElement, typename OperatorElement> struct sum_plus { using value_element_type = ValueElement; using operator_element_type = OperatorElement; using value_monoid_type = sum<value_element_type>; using operator_monoid_type = plus<operator_element_type>; using value_type = typename value_monoid_type::value_type; using operator_type = typename operator_monoid_type::operator_type; sum_plus() = delete; template<typename Ind> static value_type apply(const operator_type& f, const value_type& x, const Ind l) { return x + static_cast<value_type>(l) * static_cast<value_type>(f); } }; int main() { std::cin.tie(nullptr),std::ios::sync_with_stdio(false); constexpr ull MAX = 1ULL << 40; using node = bbst_node::key_node<ull, bbst_node::lazy_node<sum_plus<ull, ull>>, std::less<ull>>; using splaytree = base_splaytree<node>; const auto [n, q] = reads<usize, usize>(); const auto m = ceil2(n); auto a = read<ull>(n); std::vector<splaytree> sorted(2 * m); segments segs{n}; for (usize i = 1; i < 2 * m; i++) { const auto [l, r] = segs[i]; for (usize j = l; j < std::min(r, n); j++) { sorted[i].insert({a[j], a[j]}); } } ull s = 0; constexpr ull pmask = (1ULL << 16) - 1; constexpr ull vmask = (1ULL << 40) - 1; for (usize i = 0; i < q; i++) { const usize t = read<usize>(); if (t == 1) { const usize sp = s & pmask; const ull sv = s & vmask; const auto x = (read<usize>() ^ (sp)) - 1; const auto y = (read<ull>() ^ sv); const auto inds = segs.over(x); for (const usize i : inds) { auto& lst = sorted[i]; auto [mst, rst] = lst.split_key_range(a[x], a[x]); auto mst2 = mst.split_at(1); mst2.merge(std::move(rst)); lst.merge(std::move(mst2)); lst.insert({y, y}); } a[x] = y; } else { const usize sp = s & pmask; auto l = (read<usize>() ^ (sp)), r = (read<usize>() ^ (sp)); if (l > r) { std::swap(l, r); } l--; const usize sz = r - l; const auto inds = segs.under(l, r); auto less = [&](const ll x) -> usize { usize ans = 0; for (const usize i : inds) { ans += sorted[i].fold_lower(x).data().sz; } return ans; }; ll inf = -1LL, sup = MAX + 1LL; while (sup - inf > 1) { const ll mid = (inf + sup) / 2LL; (less(mid) < (sz + 1) / 2 ? inf : sup) = mid; } const ll m = inf; ll ans = 0; for (const usize i : inds) { auto& lst = sorted[i]; auto rst = sorted[i].split_lower(m); const usize l = lst.top().data().sz; const usize r = rst.top().data().sz; const ll lsum = (ll)l * m - lst.top().data().merged; const ll rsum = rst.top().data().merged - (ll)r * m; ans += (lsum + rsum); lst.merge(std::move(rst)); } s ^= ans; std::cout << ans << "\n"; } } return 0; }