結果
| 問題 | No.925 紲星 Extra |
| ユーザー |
 Pachicobue
|
| 提出日時 | 2019-11-09 07:58:49 |
| 言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
| 結果 |
TLE
|
| 実行時間 | - |
| コード長 | 31,450 bytes |
| コンパイル時間 | 3,677 ms |
| コンパイル使用メモリ | 245,544 KB |
| 実行使用メモリ | 113,024 KB |
| 最終ジャッジ日時 | 2024-09-15 04:05:08 |
| 合計ジャッジ時間 | 16,003 ms |
|
ジャッジサーバーID （参考情報） |
judge1 / judge2 |
（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 | 3 ms
5,248 KB |
| testcase_02 | AC | 2 ms
5,376 KB |
| testcase_03 | AC | 43 ms
5,376 KB |
| testcase_04 | AC | 51 ms
5,376 KB |
| testcase_05 | TLE | - |
| testcase_06 | TLE | - |
| testcase_07 | TLE | - |
| testcase_08 | TLE | - |
| testcase_09 | TLE | - |
| testcase_10 | TLE | - |
| 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...)); }
class stopwatch
{
public:
stopwatch() : start{std::chrono::system_clock::now()}, rap_point{start} {}
template<typename Duration = std::chrono::milliseconds>
int64_t rap()
{
const auto now = std::chrono::system_clock::now();
const auto cnt = std::chrono::duration_cast<Duration>(now - rap_point).count();
return rap_point = now, cnt;
}
template<typename Duration = std::chrono::milliseconds>
int64_t total()
{
const auto now = std::chrono::system_clock::now();
const auto cnt = std::chrono::duration_cast<Duration>(now - start).count();
return cnt;
}
private:
std::chrono::system_clock::time_point start;
std::chrono::system_clock::time_point rap_point;
};
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
/**
* http://xoshiro.di.unimi.it/xoshiro128starstar.c
* http://xoshiro.di.unimi.it/xoshiro256starstar.c
* http://xoshiro.di.unimi.it/splitmix64.c
*/
class xoshiro
{
public:
using result_type = uint32_t;
static constexpr result_type min() { return std::numeric_limits<result_type>::min(); }
static constexpr result_type max() { return std::numeric_limits<result_type>::max(); }
xoshiro() : xoshiro(std::random_device{}()) {}
xoshiro(uint64_t seed)
{
uint64_t z = 0;
for (int i = 0; i < 4; i++) { z = (seed += 0x9e3779b97f4a7c15), z = (z ^ (z >> 33)) * 0x62A9D9ED799705F5, z = (z ^ (z >> 28)) * 0xCB24D0A5C88C35B3, s[i] = static_cast<result_type>(z >> 32); }
}
result_type operator()()
{
const result_type result = rotl(s[1] * 5, 7) * 9, t = s[1] << 9;
return s[2] ^= s[0], s[3] ^= s[1], s[1] ^= s[2], s[0] ^= s[3], s[2] ^= t, s[3] = rotl(s[3], 11), result;
}
void discard(const usize rep)
{
for (usize i = 0; i < rep; i++) { (*this)(); }
}
private:
result_type s[4];
static result_type rotl(const result_type x, const int k) { return (x << k) | (x >> (32 - k)); }
};
class xoshiro_64
{
public:
using result_type = uint64_t;
static constexpr result_type min() { return std::numeric_limits<result_type>::min(); }
static constexpr result_type max() { return std::numeric_limits<result_type>::max(); }
xoshiro_64() : xoshiro_64(std::random_device{}()) {}
xoshiro_64(uint64_t seed)
{
uint64_t z = 0;
for (int i = 0; i < 4; i++) { z = (seed += 0x9e3779b97f4a7c15), z = (z ^ (z >> 30)) * 0xbf58476d1ce4e5b9, z = (z ^ (z >> 27)) * 0x94d049bb133111eb, s[i] = static_cast<result_type>(z ^ (z >> 31)); }
}
result_type operator()()
{
const result_type result = rotl(s[1] * 5, 7) * 9, t = s[1] << 17;
return s[2] ^= s[0], s[3] ^= s[1], s[1] ^= s[2], s[0] ^= s[3], s[2] ^= t, s[3] = rotl(s[3], 45), result;
}
void discard(const usize rep)
{
for (usize i = 0; i < rep; i++) { (*this)(); }
}
private:
result_type s[4];
static result_type rotl(const result_type x, const int k) { return (x << k) | (x >> (64 - k)); }
};
template<typename Rng>
class rng_base
{
public:
using rng_type = Rng;
using result_type = typename rng_type::result_type;
static constexpr result_type min() { return rng_type::min(); }
static constexpr result_type max() { return rng_type::max(); }
rng_base() : rng_base(std::random_device{}()) {}
rng_base(const u64 seed) : rng(seed) {}
~rng_base() = default;
result_type operator()(const result_type max = std::numeric_limits<result_type>::max())
{
if (max == std::numeric_limits<result_type>::max()) { return static_cast<result_type>(rng()); }
if (ispow2(max + 1)) { return static_cast<result_type>(rng() & max); }
const result_type mask = static_cast<result_type>(ceil2(static_cast<u64>(max + 1))) - 1;
while (true) {
const result_type ans = static_cast<result_type>(rng() & mask);
if (ans <= max) { return ans; }
}
}
result_type operator()(const result_type min, const result_type max) { return min + (*this)(max - min); }
operator bool() { return *this(0, 1); }
template<typename Int> std::pair<Int, Int> pair(const Int min, const Int max, const bool sorted = false) { return sorted ? std::minmax(*this(min, max), *this(min, max)) : std::pair<Int, Int>{*this(min, max), *this(min, max)}; }
template<typename Int>
std::vector<Int> vec(const std::size_t size, const Int min, const Int max)
{
std::vector<Int> v(size);
for (std::size_t i = 0; i < size; i++) { v[i] = *this(min, max); }
return v;
}
std::vector<usize> perm(const usize n)
{
std::vector<usize> ans(n);
std::iota(ans.begin(), ans.end(), 0UL);
std::shuffle(ans.begin(), ans.end(), rng);
return ans;
}
private:
Rng rng;
};
using rng_mt = rng_base<std::mt19937>;
using rng_mt64 = rng_base<std::mt19937_64>;
using rng_xoshiro = rng_base<xoshiro>;
using rng_xoshiro64 = rng_base<xoshiro_64>;
rng_mt g_rng_mt;
rng_mt64 g_rng_mt64;
rng_xoshiro g_rng_xo;
rng_xoshiro64 g_rng_xo64;
template<typename NodeData>
class base_rbstree
{
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; }
const node& left() const { return deptr(l); }
const node& right() const { return deptr(r); }
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; }
if (g_rng_xo(static_cast<uint>(size_of(tp1) + size_of(tp2) - 1)) < static_cast<uint>(size_of(tp1))) {
return tp1->push_down(), tp1->r = merge(tp1->r, tp2), tp1->pull_up(), tp1;
} else {
return tp2->push_down(), tp2->l = merge(tp1, tp2->l), tp2->pull_up(), tp2;
}
}
static std::pair<ptr, ptr> split_at(tree tp, const usize pos)
{
if (not tp) { return {nullptr, nullptr}; }
tp->push_down();
if (pos == 0) { return std::make_pair(nullptr, tp); }
if (pos == size_of(tp)) { return std::make_pair(tp, nullptr); }
if (pos <= size_of(tp->l)) {
auto ls = split_at(tp->l, pos);
return tp->l = ls.second, tp->pull_up(), std::make_pair(ls.first, tp);
} else {
auto rs = split_at(tp->r, pos - size_of(tp->l) - 1);
return tp->r = rs.first, tp->pull_up(), std::make_pair(tp, rs.second);
}
}
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)
{
if (not tp) { return {nullptr, nullptr}; }
const typename NodeData::comp_type& comp{};
if (comp(tp->data().key, key)) {
auto rs = split_lower(tp->r, key);
return tp->r = rs.first, tp->pull_up(), std::make_pair(tp, rs.second);
} else {
auto ls = split_lower(tp->l, key);
return tp->l = ls.second, tp->pull_up(), std::make_pair(ls.first, tp);
}
}
template<typename Key>
static std::pair<ptr, ptr> split_upper(tree tp, const Key& key)
{
if (not tp) { return {nullptr, nullptr}; }
const typename NodeData::comp_type& comp{};
if (comp(key, tp->data().key)) {
auto ls = split_upper(tp->l, key);
return tp->l = ls.second, tp->pull_up(), std::make_pair(ls.first, tp);
} else {
auto rs = split_upper(tp->r, key);
return tp->r = rs.first, tp->pull_up(), std::make_pair(tp, rs.second);
}
}
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; }
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)); }
static node empty_node; // inline変数を使いたいでござる
NodeData node_data;
ptr l = nullptr, r = nullptr;
};
using ptr = node*;
ptr root = nullptr;
public:
base_rbstree() = default;
base_rbstree(const ptr r) : root{r} {}
template<typename... Args>
base_rbstree(Args... args) : root{new node{args...}} {}
bool empty() const { return not root; }
usize size() const { return node::size(root); }
const node& top() const { return node::deptr(root); }
node at(const usize pos) { return fold_range(pos, pos + 1); }
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>
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>
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>
node fold_upper(const Key& key)
{
auto ts = node::split_upper(root, key);
const node ans = node::deptr(ts.first);
return root = node::merge(ts.first, ts.second), ans;
}
template<typename Value>
base_rbstree& 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_rbstree& 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_rbstree& 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_rbstree& 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_rbstree& merge(base_rbstree&& t) { return root = node::merge(root, t.root), *this; }
base_rbstree split_at(const usize pos)
{
auto ts = node::split_at(root, pos);
return root = ts.first, base_rbstree(ts.second);
}
std::pair<base_rbstree, base_rbstree> 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_rbstree(std::get<1>(ts)), base_rbstree(std::get<2>(ts)));
}
base_rbstree& 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_rbstree& insert_at(const usize pos, base_rbstree&& 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_rbstree split_lower(const Key& key)
{
auto ts = node::split_lower(root, key);
return root = ts.first, base_rbstree(ts.second);
}
template<typename Key>
base_rbstree split_upper(const Key& key)
{
auto ts = node::split_upper(root, key);
return root = ts.first, base_rbstree(ts.second);
}
template<typename Key>
std::pair<base_rbstree, base_rbstree> 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_rbstree(std::get<1>(ts)), base_rbstree(std::get<2>(ts)));
}
base_rbstree& 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()
{
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_rbstree<NodeData>::node base_rbstree<NodeData>::node::empty_node = node{};
template<typename Value>
using rbstree = base_rbstree<bbst_node::value_node<Value>>;
template<typename Key, typename Comp = std::less<Key>>
using mset_rbstree = base_rbstree<bbst_node::key_node<Key, bbst_node::node, Comp>>;
template<typename Key, typename Value, typename Comp = std::less<Key>>
using mmap_rbstree = base_rbstree<bbst_node::key_node<Key, bbst_node::value_node<Value>, Comp>>;
template<typename ValueMonoid>
using merge_rbstree = base_rbstree<bbst_node::merge_node<ValueMonoid>>;
template<typename MonoidAct>
using lazy_rbstree = base_rbstree<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 ValueMonoid>
class segtree
{
public:
using value_monoid_type = ValueMonoid;
using value_type = typename value_monoid_type::value_type;
segtree(const usize sz, const value_type initial = value_monoid_type::id()) : sz{sz}, half{ceil2(sz)}, val(half << 1, value_monoid_type::id())
{
if (initial != value_monoid_type::id()) {
std::fill(val.begin() + half, val.end(), initial);
for (usize i = half - 1; i >= 1; i--) { up(i); }
}
}
template<typename InIt>
segtree(const InIt first, const InIt last) : sz{static_cast<usize>(std::distance(first, last))}, half{ceil2(sz)}, val(half << 1, value_monoid_type::id())
{
std::copy(first, last, val.begin() + half);
for (usize i = half - 1; i >= 1; i--) { up(i); }
}
value_type get(const usize a) const { return assert(a < sz), val[a + half]; }
void set(usize a, const value_type& v)
{
assert(a < sz);
val[a += half] = v;
while (a >>= 1) { up(a); }
}
value_type fold(usize l, usize r) const
{
assert(l < r), assert(r <= sz);
value_type accl = value_monoid_type::id(), accr = value_monoid_type::id();
for (l += half, r += half; l < r; l >>= 1, r >>= 1) {
if (l & 1) { accl = value_monoid_type::merge(accl, val[l++]); }
if (r & 1) { accr = value_monoid_type::merge(val[--r], accr); }
}
return value_monoid_type::merge(accl, accr);
}
usize size() const { return sz; }
friend std::ostream& operator<<(std::ostream& os, const segtree& seg)
{
os << "[";
for (usize i = seg.half; i < seg.half + seg.sz; i++) { os << seg.val[i] << (i + 1 == seg.half + seg.sz ? "" : ","); }
return (os << "]\n");
}
private:
void up(const usize i) { val[i] = value_monoid_type::merge(val[i << 1], val[i << 1 | 1]); }
const usize sz, half;
std::vector<value_type> val;
};
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); }
};
template<typename Element>
struct min
{
using element_type = Element;
using value_type = element_type;
min() = delete;
static value_type merge(const value_type& a, const value_type& b) { return std::min(a, b); }
static constexpr value_type id() { return inf_v<value_type>; }
};
template<typename Element>
struct max
{
using element_type = Element;
using value_type = element_type;
max() = delete;
static value_type merge(const value_type& a, const value_type& b) { return std::max(a, b); }
static constexpr value_type id() { return inf_v<value_type>; }
};
int main()
{
std::cin.tie(nullptr), std::ios::sync_with_stdio(false);
using node = bbst_node::key_node<ull, bbst_node::lazy_node<sum_plus<ull, ull>>, std::less<ull>>;
using tree = base_rbstree<node>;
const auto [n, q] = reads<usize, usize>();
const auto m = ceil2(n);
auto a = read<ull>(n);
std::vector<tree> sorted(2 * m);
// stopwatch sw;
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]}); }
}
segtree<min<ull>> rmq(a.begin(), a.end());
segtree<max<ull>> rMq(a.begin(), a.end());
// std::cerr << sw.rap() << "ms\n";
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, rmq.set(x, y), rMq.set(x, y);
// std::cerr << "Q1: " << sw.rap<std::chrono::microseconds>() << "us\n";
} 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 = rmq.fold(l, r) - 1LL, sup = rMq.fold(l, r) + 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::cerr << "Q2: " << sw.rap<std::chrono::microseconds>() << "us\n";
std::cout << ans << "\n";
}
}
return 0;
}