結果
問題 | No.2696 Sign Creation |
ユーザー |
|
提出日時 | 2024-03-22 23:07:10 |
言語 | C++17(gcc12) (gcc 12.3.0 + boost 1.87.0) |
結果 |
AC
|
実行時間 | 99 ms / 2,500 ms |
コード長 | 39,473 bytes |
コンパイル時間 | 2,935 ms |
コンパイル使用メモリ | 229,716 KB |
実行使用メモリ | 9,340 KB |
最終ジャッジ日時 | 2024-12-20 12:24:56 |
合計ジャッジ時間 | 4,923 ms |
ジャッジサーバーID (参考情報) |
judge4 / judge3 |
(要ログイン)
ファイルパターン | 結果 |
---|---|
sample | AC * 3 |
other | AC * 38 |
ソースコード
#line 2 "/home/shogo314/cpp_include/ou-library/unionfind.hpp"/*** @file unionfind.hpp* @brief UnionFind*/#include <algorithm>#include <cassert>#include <vector>/*** @brief 無向グラフに対して「辺の追加」、「2頂点が連結かの判定」をする*/struct UnionFind {private:int _n;// 負ならサイズ、非負なら親std::vector<int> parent_or_size;public:UnionFind() : _n(0) {}explicit UnionFind(int n) : _n(n), parent_or_size(n, -1) {}/*** @brief 辺(a,b)を足す* @return 連結したものの代表元*/int merge(int a, int b) {assert(0 <= a && a < _n);assert(0 <= b && b < _n);int x = leader(a), y = leader(b);if (x == y) return x;if (-parent_or_size[x] < -parent_or_size[y]) std::swap(x, y);parent_or_size[x] += parent_or_size[y];parent_or_size[y] = x;return x;}/*** @brief 頂点a,bが連結かどうか*/bool same(int a, int b) {assert(0 <= a && a < _n);assert(0 <= b && b < _n);return leader(a) == leader(b);}/*** @brief 頂点aの属する連結成分の代表元*/int leader(int a) {assert(0 <= a && a < _n);if (parent_or_size[a] < 0) return a;int x = a;while (parent_or_size[x] >= 0) {x = parent_or_size[x];}while (parent_or_size[a] >= 0) {int t = parent_or_size[a];parent_or_size[a] = x;a = t;}return x;}/*** @brief 頂点aの属する連結成分のサイズ*/int size(int a) {assert(0 <= a && a < _n);return -parent_or_size[leader(a)];}/*** @brief グラフを連結成分に分け、その情報を返す* @return 「一つの連結成分の頂点番号のリスト」のリスト*/std::vector<std::vector<int>> groups() {std::vector<int> leader_buf(_n), group_size(_n);for (int i = 0; i < _n; i++) {leader_buf[i] = leader(i);group_size[leader_buf[i]]++;}std::vector<std::vector<int>> result(_n);for (int i = 0; i < _n; i++) {result[i].reserve(group_size[i]);}for (int i = 0; i < _n; i++) {result[leader_buf[i]].push_back(i);}result.erase(std::remove_if(result.begin(), result.end(),[&](const std::vector<int>& v) { return v.empty(); }),result.end());return result;}};#line 2 "/home/shogo314/cpp_include/sh-library/base/all"#include <bits/stdc++.h>#line 5 "/home/shogo314/cpp_include/sh-library/base/container_func.hpp"#include <initializer_list>#line 3 "/home/shogo314/cpp_include/sh-library/base/traits.hpp"#include <type_traits>#define HAS_METHOD(func_name) \namespace detail { \template <class T, class = void> \struct has_##func_name##_impl : std::false_type {}; \template <class T> \struct has_##func_name##_impl<T, std::void_t<decltype(std::declval<T>().func_name())>> \: std::true_type {}; \} \template <class T> \struct has_##func_name : detail::has_##func_name##_impl<T>::type {}; \template <class T> \inline constexpr bool has_##func_name##_v = has_##func_name<T>::value;#define HAS_METHOD_ARG(func_name) \namespace detail { \template <class T, typename U, class = void> \struct has_##func_name##_impl : std::false_type {}; \template <class T, typename U> \struct has_##func_name##_impl<T, U, std::void_t<decltype(std::declval<T>().func_name(std::declval<U>()))>> \: std::true_type {}; \} \template <class T, typename U> \struct has_##func_name : detail::has_##func_name##_impl<T, U>::type {}; \template <class T, typename U> \inline constexpr bool has_##func_name##_v = has_##func_name<T, U>::value;HAS_METHOD(repr)HAS_METHOD(type_str)HAS_METHOD(initializer_str)HAS_METHOD(max)HAS_METHOD(min)HAS_METHOD(reversed)HAS_METHOD(sorted)HAS_METHOD(sum)HAS_METHOD(product)HAS_METHOD_ARG(count)HAS_METHOD_ARG(find)HAS_METHOD_ARG(lower_bound)HAS_METHOD_ARG(upper_bound)#define ENABLE_IF_T_IMPL(expr) std::enable_if_t<expr, std::nullptr_t> = nullptr#define ENABLE_IF_T(...) ENABLE_IF_T_IMPL((__VA_ARGS__))template <class C>using mem_value_type = typename C::value_type;template <class C>using mem_difference_type = typename C::difference_type;#line 9 "/home/shogo314/cpp_include/sh-library/base/container_func.hpp"#define METHOD_EXPAND(func_name) \template <typename T, ENABLE_IF_T(has_##func_name##_v<T>)> \inline constexpr auto func_name(const T &t) -> decltype(t.func_name()) { \return t.func_name(); \}#define METHOD_AND_FUNC_ARG_EXPAND(func_name) \template <typename T, typename U, ENABLE_IF_T(has_##func_name##_v<T, U>)> \inline constexpr auto func_name(const T &t, const U &u) \-> decltype(t.func_name(u)) { \return t.func_name(u); \} \template <typename T, typename U, ENABLE_IF_T(not has_##func_name##_v<T, U>)> \inline constexpr auto func_name(const T &t, const U &u) \-> decltype(func_name(t.begin(), t.end(), u)) { \using namespace std; \return func_name(t.begin(), t.end(), u); \}METHOD_EXPAND(reversed)template <class C, ENABLE_IF_T(not has_reversed_v<C>)>inline constexpr C reversed(C t) {std::reverse(t.begin(), t.end());return t;}METHOD_EXPAND(sorted)template <class C, ENABLE_IF_T(not has_sorted_v<C>)>inline constexpr C sorted(C t) {std::sort(t.begin(), t.end());return t;}template <class C, class F, ENABLE_IF_T(not has_sorted_v<C> and std::is_invocable_r_v<bool, F, mem_value_type<C>, mem_value_type<C>>)>inline constexpr C sorted(C t, F f) {std::sort(t.begin(), t.end(), f);return t;}template <class C>inline constexpr void sort(C &t) {std::sort(t.begin(), t.end());}template <class C, class F, ENABLE_IF_T(std::is_invocable_r_v<bool, F, mem_value_type<C>, mem_value_type<C>>)>inline constexpr void sort(C &t, F f) {std::sort(t.begin(), t.end(), f);}template <class C, class F, ENABLE_IF_T(std::is_invocable_v<F, mem_value_type<C>>)>inline constexpr void sort_by_key(C &t, F f) {std::sort(t.begin(), t.end(), [&](const mem_value_type<C> &left, const mem_value_type<C> &right) {return f(left) < f(right);});}template <class C>inline constexpr void reverse(C &t) {std::reverse(t.begin(), t.end());}METHOD_EXPAND(max)template <class C, ENABLE_IF_T(not has_max_v<C>)>inline constexpr mem_value_type<C> max(const C &v) {assert(v.begin() != v.end());return *std::max_element(v.begin(), v.end());}template <typename T>inline constexpr T max(const std::initializer_list<T> &v) {return std::max(v);}METHOD_EXPAND(min)template <class C, ENABLE_IF_T(not has_max_v<C>)>inline constexpr mem_value_type<C> min(const C &v) {assert(v.begin() != v.end());return *std::min_element(v.begin(), v.end());}template <typename T>inline constexpr T min(const std::initializer_list<T> &v) {return std::min(v);}METHOD_EXPAND(sum)template <class C, ENABLE_IF_T(not has_sum_v<C>)>inline constexpr mem_value_type<C> sum(const C &v) {return std::accumulate(v.begin(), v.end(), mem_value_type<C>{});}template <typename T>inline constexpr T sum(const std::initializer_list<T> &v) {return std::accumulate(v.begin(), v.end(), T{});}METHOD_EXPAND(product)template <class C, ENABLE_IF_T(not has_product_v<C>)>inline constexpr mem_value_type<C> product(const C &v) {return std::accumulate(v.begin(), v.end(), mem_value_type<C>{1}, std::multiplies<mem_value_type<C>>());}template <typename T>inline constexpr T product(const std::initializer_list<T> &v) {return std::accumulate(v.begin(), v.end(), T{1}, std::multiplies<T>());}template <class C>inline constexpr mem_value_type<C> product_xor(const C &v) {return std::accumulate(v.begin(), v.end(), mem_value_type<C>{0}, std::bit_xor<mem_value_type<C>>());}template <typename T>inline constexpr T product_xor(const std::initializer_list<T> &v) {return std::accumulate(v.begin(), v.end(), T{0}, std::bit_xor<T>());}METHOD_AND_FUNC_ARG_EXPAND(count)METHOD_AND_FUNC_ARG_EXPAND(find)METHOD_AND_FUNC_ARG_EXPAND(lower_bound)METHOD_AND_FUNC_ARG_EXPAND(upper_bound)template <class C>inline constexpr mem_value_type<C> gcd(const C &v) {mem_value_type<C> init(0);for (const auto &e : v) init = std::gcd(init, e);return init;}template <class C>inline constexpr mem_value_type<C> average(const C &v) {assert(v.size());return sum(v) / v.size();}template <class C>inline constexpr mem_value_type<C> median(const C &v) {assert(not v.empty());std::vector<size_t> u(v.size());std::iota(u.begin(), u.end(), 0);std::sort(u.begin(), u.end(), [&](size_t a, size_t b) {return v[a] < v[b];});if (v.size() & 1) {return v[u[v.size() / 2]];}// C++20// return std::midpoint(v[u[v.size() / 2]], v[u[v.size() / 2 - 1]]);return (v[u[v.size() / 2]] + v[u[v.size() / 2 - 1]]) / 2;}template <class C, typename U>inline constexpr size_t index(const C &v, const U &x) {return std::distance(v.begin(), std::find(v.begin(), v.end(), x));}template <class C, ENABLE_IF_T(std::is_integral_v<mem_value_type<C>>)>inline constexpr mem_value_type<C> mex(const C &v) {std::vector<bool> b(v.size() + 1);for (const auto &a : v) {if (0 <= a and a < b.size()) {b[a] = true;}}mem_value_type<C> ret;for (size_t i = 0; i < b.size(); i++) {if (not b[i]) {ret = i;break;}}return ret;}template <class C>inline constexpr mem_difference_type<C> bisect_left(const C &v, const mem_value_type<C> &x) {return std::distance(v.begin(), lower_bound(v, x));}template <class C>inline constexpr mem_difference_type<C> bisect_right(const C &v, const mem_value_type<C> &x) {return std::distance(v.begin(), upper_bound(v, x));}#line 6 "/home/shogo314/cpp_include/sh-library/base/functions.hpp"template <typename T1, typename T2>inline constexpr bool chmin(T1 &a, T2 b) {if (a > b) {a = b;return true;}return false;}template <typename T1, typename T2>inline constexpr bool chmax(T1 &a, T2 b) {if (a < b) {a = b;return true;}return false;}template <class C, typename T>inline constexpr bool contains(const C &c, const T &t) {return c.find(t) != c.end();}inline constexpr long long max(const long long &t1, const long long &t2) {return std::max<long long>(t1, t2);}inline constexpr long long min(const long long &t1, const long long &t2) {return std::min<long long>(t1, t2);}using std::abs;using std::gcd;using std::lcm;using std::size;template <typename T>constexpr T extgcd(const T &a, const T &b, T &x, T &y) {T d = a;if (b != 0) {d = extgcd(b, a % b, y, x);y -= (a / b) * x;} else {x = 1;y = 0;}return d;}template <typename M, typename N, class F, ENABLE_IF_T(std::is_integral_v<std::common_type_t<M, N>> and std::is_invocable_r_v<bool, F, std::common_type_t<M, N>>)>inline constexpr std::common_type_t<M, N> binary_search(const M &ok, const N &ng, F f) {std::common_type_t<M, N> _ok = ok, _ng = ng;assert(f(_ok));while (std::abs(_ok - _ng) > 1) {std::common_type_t<M, N> mid = (_ok + _ng) / 2;if (f(mid)) {_ok = mid;} else {_ng = mid;}}return _ok;}template <typename M, typename N, class F, ENABLE_IF_T(not std::is_integral_v<std::common_type_t<M, N>> and std::is_invocable_r_v<bool, F, std::common_type_t<M, N>>)>inline constexpr std::common_type_t<M, N> binary_search(const M &ok, const N &ng, F f) {std::common_type_t<M, N> _ok = ok, _ng = ng;assert(f(_ok));for (int i = 0; i < 100; i++) {std::common_type_t<M, N> mid = (_ok + _ng) / 2;if (f(mid)) {_ok = mid;} else {_ng = mid;}}return _ok;}/*** 0 <= x < a*/inline constexpr bool inrange(long long x, long long a) {return 0 <= x and x < a;}/*** a <= x < b*/inline constexpr bool inrange(long long x, long long a, long long b) {return a <= x and x < b;}/*** 0 <= x < a and 0 <= y < b*/inline constexpr bool inrect(long long x, long long y, long long a, long long b) {return 0 <= x and x < a and 0 <= y and y < b;}#line 8 "/home/shogo314/cpp_include/sh-library/base/io.hpp"namespace tuple_io {template <typename Tuple, size_t I, typename CharT, typename Traits>std::basic_istream<CharT, Traits>& read_tuple(std::basic_istream<CharT, Traits>& is, Tuple& t) {is >> std::get<I>(t);if constexpr (I + 1 < std::tuple_size_v<Tuple>) {return read_tuple<Tuple, I + 1>(is, t);}return is;}template <typename Tuple, size_t I, typename CharT, typename Traits>std::basic_ostream<CharT, Traits>& write_tuple(std::basic_ostream<CharT, Traits>& os, const Tuple& t) {os << std::get<I>(t);if constexpr (I + 1 < std::tuple_size_v<Tuple>) {os << CharT(' ');return write_tuple<Tuple, I + 1>(os, t);}return os;}}; // namespace tuple_iotemplate <typename T1, typename T2, typename CharT, typename Traits>std::basic_istream<CharT, Traits>& operator>>(std::basic_istream<CharT, Traits>& is, std::pair<T1, T2>& p) {is >> p.first >> p.second;return is;}template <typename... Types, typename CharT, typename Traits>std::basic_istream<CharT, Traits>& operator>>(std::basic_istream<CharT, Traits>& is, std::tuple<Types...>& p) {return tuple_io::read_tuple<std::tuple<Types...>, 0>(is, p);}template <typename T, size_t N, typename CharT, typename Traits>std::basic_istream<CharT, Traits>& operator>>(std::basic_istream<CharT, Traits>& is, std::array<T, N>& a) {for (auto& e : a) is >> e;return is;}template <typename T, typename CharT, typename Traits>std::basic_istream<CharT, Traits>& operator>>(std::basic_istream<CharT, Traits>& is, std::vector<T>& v) {for (auto& e : v) is >> e;return is;}template <typename T1, typename T2, typename CharT, typename Traits>std::basic_ostream<CharT, Traits>& operator<<(std::basic_ostream<CharT, Traits>& os, const std::pair<T1, T2>& p) {os << p.first << CharT(' ') << p.second;return os;}template <typename... Types, typename CharT, typename Traits>std::basic_ostream<CharT, Traits>& operator<<(std::basic_ostream<CharT, Traits>& os, const std::tuple<Types...>& p) {return tuple_io::write_tuple<std::tuple<Types...>, 0>(os, p);}template <typename T, size_t N, typename CharT, typename Traits>std::basic_ostream<CharT, Traits>& operator<<(std::basic_ostream<CharT, Traits>& os, const std::array<T, N>& a) {for (size_t i = 0; i < N; ++i) {if (i) os << CharT(' ');os << a[i];}return os;}template <typename T, typename CharT, typename Traits>std::basic_ostream<CharT, Traits>& operator<<(std::basic_ostream<CharT, Traits>& os, const std::vector<T>& v) {for (size_t i = 0; i < v.size(); ++i) {if (i) os << CharT(' ');os << v[i];}return os;}template <typename T, typename CharT, typename Traits>std::basic_ostream<CharT, Traits>& operator<<(std::basic_ostream<CharT, Traits>& os, const std::set<T>& s) {for (auto itr = s.begin(); itr != s.end(); ++itr) {if (itr != s.begin()) os << CharT(' ');os << *itr;}return os;}/*** @brief 空行出力*/void print() { std::cout << '\n'; }/*** @brief 出力して改行** @tparam T 型* @param x 出力する値*/template <typename T>void print(const T& x) { std::cout << x << '\n'; }/*** @brief 空白区切りで出力して改行** @tparam T 1つ目の要素の型* @tparam Tail 2つ目以降の要素の型* @param x 1つ目の要素* @param tail 2つ目以降の要素*/template <typename T, typename... Tail>void print(const T& x, const Tail&... tail) {std::cout << x << ' ';print(tail...);}/*** @brief 空行出力*/void err() { std::cerr << std::endl; }/*** @brief 出力して改行** @tparam T 型* @param x 出力する値*/template <typename T>void err(const T& x) { std::cerr << x << std::endl; }/*** @brief 空白区切りで出力して改行** @tparam T 1つ目の要素の型* @tparam Tail 2つ目以降の要素の型* @param x 1つ目の要素* @param tail 2つ目以降の要素*/template <typename T, typename... Tail>void err(const T& x, const Tail&... tail) {std::cerr << x << ' ';err(tail...);}#line 3 "/home/shogo314/cpp_include/sh-library/base/type_alias.hpp"using ll = long long;using ull = unsigned long long;using ld = long double;template <typename T>using vec = std::vector<T>;template <typename T, int N>using ary = std::array<T, N>;using str = std::string;using std::deque;using std::list;using std::map;using std::pair;using std::set;using pl = pair<ll, ll>;using pd = pair<ld, ld>;template <typename T>using vv = vec<vec<T>>;template <typename T>using vvv = vec<vec<vec<T>>>;using vl = vec<ll>;using vvl = vv<ll>;using vvvl = vvv<ll>;using vs = vec<str>;using vc = vec<char>;using vi = vec<int>;using vb = vec<bool>;template <typename T1, typename T2>using vp = vec<pair<T1, T2>>;using vpl = vec<pl>;using vvpl = vv<pl>;using vd = vec<ld>;using vpd = vec<pd>;template <int N>using al = ary<ll, N>;template <int N1, int N2>using aal = ary<ary<ll, N2>, N1>;template <int N>using val = vec<al<N>>;template <int N>using avl = ary<vl,N>;template <typename T>using ml = std::map<ll, T>;using mll = std::map<ll, ll>;using sl = std::set<ll>;using spl = set<pl>;template <int N>using sal = set<al<N>>;template <int N>using asl = ary<sl,N>;template <typename T>using heap_max = std::priority_queue<T, std::vector<T>, std::less<T>>;template <typename T>using heap_min = std::priority_queue<T, std::vector<T>, std::greater<T>>;#line 3 "/home/shogo314/cpp_include/sh-library/base/macro.hpp"#pragma GCC target("avx2")#pragma GCC optimize("O3")#pragma GCC optimize("unroll-loops")#define all(obj) (obj).begin(), (obj).end()#define reps(i, a, n) for (long long i = (a); i < (n); i++)#define rep(i, n) reps(i, 0, (n))#define rrep(i, n) reps(i, 1, (n) + 1)#define repds(i, a, n) for (long long i = (n)-1; i >= (a); i--)#define repd(i, n) repds(i, 0, (n))#define rrepd(i, n) repds(i, 1, (n) + 1)#define rep2(i, j, x, y) rep(i, x) rep(j, y)inline void scan(){}template<class Head,class... Tail>inline void scan(Head&head,Tail&... tail){std::cin>>head;scan(tail...);}#define LL(...) ll __VA_ARGS__;scan(__VA_ARGS__)#define STR(...) str __VA_ARGS__;scan(__VA_ARGS__)#define IN(a, x) a x; std::cin >> x;#define CHAR(x) char x; std::cin >> x;#define VL(a,n) vl a(n); std::cin >> a;#define AL(a,k) al<k> a; std::cin >> a;#define AAL(a,n,m) aal<n,m> a; std::cin >> a;#define VC(a,n) vc a(n); std::cin >> a;#define VS(a,n) vs a(n); std::cin >> a;#define VPL(a,n) vpl a(n); std::cin >> a;#define VAL(a,n,k) val<k> a(n); std::cin >> a;#define VVL(a,n,m) vvl a(n,vl(m)); std::cin >> a;#define SL(a,n) sl a;{VL(b,n);a=sl(all(b));}#define NO std::cout << "NO" << std::endl; return;#define YES std::cout << "YES" << std::endl; return;#define No std::cout << "No" << std::endl; return;#define Yes std::cout << "Yes" << std::endl; return;#line 8 "/home/shogo314/cpp_include/sh-library/base/vector_func.hpp"template <typename T>std::vector<std::ptrdiff_t> sorted_idx(const std::vector<T> &v) {std::vector<std::ptrdiff_t> ret(v.size());std::iota(ret.begin(), ret.end(), 0);std::sort(ret.begin(), ret.end(), [&](std::ptrdiff_t i, std::ptrdiff_t j) {return v[i] < v[j];});return ret;}template <typename T>inline std::vector<T> &operator++(std::vector<T> &v) {for (auto &e : v) e++;return v;}template <typename T>inline std::vector<T> operator++(std::vector<T> &v, int) {auto res = v;for (auto &e : v) e++;return res;}template <typename T>inline std::vector<T> &operator--(std::vector<T> &v) {for (auto &e : v) e--;return v;}template <typename T>inline std::vector<T> operator--(std::vector<T> &v, int) {auto res = v;for (auto &e : v) e--;return res;}template <typename T, typename U, ENABLE_IF_T(std::is_convertible_v<U, T>)>inline std::vector<T> &operator+=(std::vector<T> &v1, const std::vector<U> &v2) {if (v2.size() > v1.size()) {v1.resize(v2.size());}for (size_t i = 0; i < v2.size(); i++) {v1[i] += v2[i];}return v1;}template <typename T, typename U, ENABLE_IF_T(std::is_convertible_v<U, T>)>inline std::vector<T> operator+(const std::vector<T> &v1, const std::vector<U> &v2) {std::vector<T> res(v1);return res += v2;}template <typename T, typename U, ENABLE_IF_T(std::is_convertible_v<U, T>)>inline std::vector<T> &operator+=(std::vector<T> &v, const U &u) {for (T &e : v) {e += u;}return v;}template <typename T, typename U, ENABLE_IF_T(std::is_convertible_v<U, T>)>inline std::vector<T> operator+(const std::vector<T> &v, const U &u) {std::vector<T> res(v);return res += u;}template <typename T, typename U, ENABLE_IF_T(std::is_convertible_v<U, T>)>inline std::vector<T> operator+(const U &u, const std::vector<T> &v) {std::vector<T> res(v);return res += u;}template <typename T, typename U, ENABLE_IF_T(std::is_convertible_v<U, T>)>inline std::vector<T> &operator*=(std::vector<T> &v1, const std::vector<U> &v2) {if (v2.size() > v1.size()) {v1.resize(v2.size());}for (size_t i = 0; i < v2.size(); i++) {v1[i] *= v2[i];}for (size_t i = v2.size(); i < v1.size(); i++) {v1[i] *= U(0);}return v1;}template <typename T, typename U, ENABLE_IF_T(std::is_convertible_v<U, T>)>inline std::vector<T> operator*(const std::vector<T> &v1, const std::vector<U> &v2) {std::vector<T> res(v1);return res *= v2;}template <typename T, typename U, ENABLE_IF_T(std::is_convertible_v<U, T>)>inline std::vector<T> &operator*=(std::vector<T> &v, const U &u) {for (T &e : v) {e *= u;}return v;}template <typename T, typename U, ENABLE_IF_T(std::is_convertible_v<U, T>)>inline std::vector<T> operator*(const std::vector<T> &v, const U &u) {std::vector<T> res(v);return res *= u;}template <typename T, typename U, ENABLE_IF_T(std::is_convertible_v<U, T>)>inline std::vector<T> operator*(const U &u, const std::vector<T> &v) {std::vector<T> res(v);return res *= u;}template <typename T, typename U>inline std::vector<T> &assign(std::vector<T> &v1, const std::vector<U> &v2) {v1.assign(v2.begin(), v2.end());return v1;}template <typename T, typename U>inline std::vector<T> &extend(std::vector<T> &v1, const std::vector<U> &v2) {v1.insert(v1.end(), v2.begin(), v2.end());return v1;}template <typename T, typename U, ENABLE_IF_T(std::is_convertible_v<U, T>)>inline std::vector<T> &operator|=(std::vector<T> &v1, const std::vector<U> &v2) {return extend(v1, v2);}template <typename T, typename U, ENABLE_IF_T(std::is_integral_v<U>)>inline std::vector<T> &operator|=(std::vector<T> &v, const U &u) {std::vector<T> w(v);v.clear();for (int i = 0; i < u; i++) {extend(v, w);}return v;}template <typename T, typename U, ENABLE_IF_T(std::is_integral_v<U>)>inline std::vector<T> operator|(const std::vector<T> &v, const U &u) {std::vector<T> res(v);return res |= u;}template <typename T, typename U, ENABLE_IF_T(std::is_integral_v<U>)>inline std::vector<T> operator|(const U &u, const std::vector<T> &v) {std::vector<T> res(v);return res |= u;}template <typename T>inline std::vector<T> abs(const std::vector<T> &v) {std::vector<T> ret;ret.reserve(v.size());for (const T &e : v) ret.push_back(std::abs(e));return ret;}template <typename T>std::vector<T> partial_sum(const std::vector<T> &v) {std::vector<T> ret(v.size());std::partial_sum(v.begin(), v.end(), ret.begin());return ret;}#line 10 "/home/shogo314/cpp_include/sh-library/py/repr.hpp"#line 12 "/home/shogo314/cpp_include/sh-library/py/repr.hpp"namespace detail {////////////////////////////////////////////////////////////////////////////////////////////// declaration //////////////////////////////////////////////////////////////////////////////////////////////inline std::string type_str(const char*);inline std::string initializer_str(const char*);inline std::string repr(const char*);inline std::string type_str(const char&);inline std::string initializer_str(const char&);inline std::string repr(const char&);inline std::string type_str(const int&);inline std::string initializer_str(const int&);inline std::string repr(const int&);inline std::string type_str(const long&);inline std::string initializer_str(const long&);inline std::string repr(const long&);inline std::string type_str(const long long&);inline std::string initializer_str(const long long&);inline std::string repr(const long long&);inline std::string type_str(const unsigned int&);inline std::string initializer_str(const unsigned int&);inline std::string repr(const unsigned int&);inline std::string type_str(const unsigned long&);inline std::string initializer_str(const unsigned long&);inline std::string repr(const unsigned long&);inline std::string type_str(const unsigned long long&);inline std::string initializer_str(const unsigned long long&);inline std::string repr(const unsigned long long&);inline std::string type_str(const std::string&);inline std::string initializer_str(const std::string&);inline std::string repr(const std::string&);inline std::string type_str(const float&);inline std::string initializer_str(const float&);inline std::string repr(const float&);inline std::string type_str(const double&);inline std::string initializer_str(const double&);inline std::string repr(const double&);inline std::string type_str(const long double&);inline std::string initializer_str(const long double&);inline std::string repr(const long double&);template <typename T>inline std::string type_str(const std::vector<T>&);template <typename T>inline std::string initializer_str(const std::vector<T>&);template <typename T>inline std::string repr(const std::vector<T>&);template <typename T>inline std::string type_str(const std::set<T>&);template <typename T>inline std::string initializer_str(const std::set<T>&);template <typename T>inline std::string repr(const std::set<T>&);template <typename T1, typename T2>inline std::string type_str(const std::pair<T1, T2>&);template <typename T1, typename T2>inline std::string initializer_str(const std::pair<T1, T2>&);template <typename T1, typename T2>inline std::string repr(const std::pair<T1, T2>&);template <typename T1, typename T2>inline std::string type_str(const std::map<T1, T2>&);template <typename T1, typename T2>inline std::string initializer_str(const std::map<T1, T2>&);template <typename T1, typename T2>inline std::string repr(const std::map<T1, T2>&);template <typename T, size_t N>inline std::string type_str(const std::array<T, N>&);template <typename T, size_t N>inline std::string initializer_str(const std::array<T, N>&);template <typename T, size_t N>inline std::string repr(const std::array<T, N>&);////////////////////////////////////////////////////////////////////////////////////////////// definition ///////////////////////////////////////////////////////////////////////////////////////////////template <typename T, std::enable_if_t<not has_type_str_v<T>, std::nullptr_t> = nullptr>inline std::string type_str(const T& t) {return "T";}template <typename T, std::enable_if_t<has_type_str_v<T>, std::nullptr_t> = nullptr>inline std::string type_str(const T& t) {return t.type_str();}template <typename T, std::enable_if_t<not has_initializer_str_v<T>, std::nullptr_t> = nullptr>inline std::string initializer_str(const T& t) {return "{}";}template <typename T, std::enable_if_t<has_initializer_str_v<T>, std::nullptr_t> = nullptr>inline std::string initializer_str(const T& t) {return t.initializer_str();}template <typename T, std::enable_if_t<not has_repr_v<T>, std::nullptr_t> = nullptr>inline std::string repr(const T& t) {return detail::type_str(t) + detail::initializer_str(t);}template <typename T, std::enable_if_t<has_repr_v<T>, std::nullptr_t> = nullptr>inline std::string repr(const T& t) {return t.repr();}inline std::string type_str(const char*) {return "char*";}inline std::string initializer_str(const char* t) {return "\"" + std::string(t) + "\"";}inline std::string repr(const char* t) {return detail::initializer_str(t);}inline std::string type_str(const char&) {return "char";}inline std::string initializer_str(const char& t) {std::vector<std::string> v(128, "");v['\0'] = "\\0";v['\a'] = "\\a";v['\b'] = "\\b";v['\f'] = "\\f";v['\r'] = "\\r";v['\n'] = "\\n";v['\v'] = "\\v";v['\''] = "\\'";v['\\'] = "\\\\";if (!v[t].empty())return "'" + v[t] + "'";if (32 <= t and t <= 126)return "'" + std::string{t} + "'";return "'\\" + std::to_string(t / 64) + std::to_string(t / 8 % 8) + std::to_string(t % 8) + "'";}inline std::string repr(const char& t) {return detail::initializer_str(t);}inline std::string type_str(const int&) {return "int";}inline std::string initializer_str(const int& t) {return std::to_string(t);}inline std::string repr(const int& t) {return detail::initializer_str(t);}inline std::string type_str(const long&) {return "long";}inline std::string initializer_str(const long& t) {return std::to_string(t) + "l";}inline std::string repr(const long& t) {return detail::initializer_str(t);}inline std::string type_str(const long long&) {return "long long";}inline std::string initializer_str(const long long& t) {return std::to_string(t) + "ll";}inline std::string repr(const long long& t) {return detail::initializer_str(t);}inline std::string type_str(const unsigned int&) {return "unsigned int";}inline std::string initializer_str(const unsigned int& t) {return std::to_string(t) + "u";}inline std::string repr(const unsigned int& t) {return detail::initializer_str(t);}inline std::string type_str(const unsigned long&) {return "unsigned long";}inline std::string initializer_str(const unsigned long& t) {return std::to_string(t) + "ul";}inline std::string repr(const unsigned long& t) {return detail::initializer_str(t);}inline std::string type_str(const unsigned long long&) {return "unsigned long long";}inline std::string initializer_str(const unsigned long long& t) {return std::to_string(t) + "ull";}inline std::string repr(const unsigned long long& t) {return detail::initializer_str(t);}inline std::string type_str(const std::string&) {return "std::string";}inline std::string initializer_str(const std::string& t) {return "\"" + t + "\"";}inline std::string repr(const std::string& t) {return detail::type_str(t) + detail::initializer_str(t);}inline std::string type_str(const float&) {return "float";}inline std::string initializer_str(const float& t) {return std::to_string(t) + "f";}inline std::string repr(const float& t) {return detail::initializer_str(t);}inline std::string type_str(const double&) {return "double";}inline std::string initializer_str(const double& t) {return std::to_string(t);}inline std::string repr(const double& t) {return detail::initializer_str(t);}inline std::string type_str(const long double&) {return "long double";}inline std::string initializer_str(const long double& t) {return std::to_string(t) + "l";}inline std::string repr(const long double& t) {return detail::initializer_str(t);}template <typename T>inline std::string type_str(const std::vector<T>&) {T t;return "std::vector<" + detail::type_str(t) + ">";}template <typename T>inline std::string initializer_str(const std::vector<T>& t) {std::string ret;ret += "{";for (auto itr = t.begin(); itr != t.end(); itr++) {if (itr != t.begin()) ret += ", ";ret += detail::initializer_str(*itr);}ret += "}";return ret;}template <typename T>inline std::string repr(const std::vector<T>& t) {return detail::type_str(t) + detail::initializer_str(t);}template <typename T>inline std::string type_str(const std::set<T>&) {T t;return "std::set<" + detail::type_str(t) + ">";}template <typename T>inline std::string initializer_str(const std::set<T>& t) {std::string ret;ret += "{";for (auto itr = t.begin(); itr != t.end(); itr++) {if (itr != t.begin()) ret += ", ";ret += detail::initializer_str(*itr);}ret += "}";return ret;}template <typename T>inline std::string repr(const std::set<T>& t) {return detail::type_str(t) + detail::initializer_str(t);}template <typename T1, typename T2>inline std::string type_str(const std::pair<T1, T2>&) {T1 t1;T2 t2;return "std::pair<" + detail::type_str(t1) + ", " + detail::type_str(t2) + ">";}template <typename T1, typename T2>inline std::string initializer_str(const std::pair<T1, T2>& t) {return "{" + detail::repr(t.first) + ", " + detail::repr(t.second) + "}";}template <typename T1, typename T2>inline std::string repr(const std::pair<T1, T2>& t) {return detail::type_str(t) + detail::initializer_str(t);}template <typename T1, typename T2>inline std::string type_str(const std::map<T1, T2>&) {T1 t1;T2 t2;return "std::map<" + detail::type_str(t1) + ", " + detail::type_str(t2) + ">";}template <typename T1, typename T2>inline std::string initializer_str(const std::map<T1, T2>& t) {std::string ret;ret += "{";for (auto itr = t.begin(); itr != t.end(); itr++) {if (itr != t.begin()) ret += ", ";ret += "{";ret += detail::initializer_str(itr->first);ret += ", ";ret += detail::initializer_str(itr->second);ret += "}";}ret += "}";return ret;}template <typename T1, typename T2>inline std::string repr(const std::map<T1, T2>& t) {return detail::type_str(t) + detail::initializer_str(t);}template <typename T, size_t N>inline std::string type_str(const std::array<T, N>&) {T t;return "std::array<" + detail::type_str(t) + ", " + std::to_string(N) + ">";}template <typename T, size_t N>inline std::string initializer_str(const std::array<T, N>& t) {std::string ret;ret += "{";for (auto itr = t.begin(); itr != t.end(); itr++) {if (itr != t.begin()) ret += ", ";ret += detail::initializer_str(*itr);}ret += "}";return ret;}template <typename T, size_t N>inline std::string repr(const std::array<T, N>& t) {return detail::type_str(t) + detail::initializer_str(t);}} // namespace detailtemplate <typename T>inline std::string type_str(const T& t) {return detail::type_str(t);}template <typename T>inline std::string initializer_str(const T& t) {return detail::initializer_str(t);}template <typename T>inline std::string repr(const T& t) {return detail::repr(t);}#define DEBUG(x) { std::cerr << #x << " = " << repr(x) << std::endl; }#line 4 "main.cpp"void solve() {LL(H, W, N, D);VAL(XY, N, 2);UnionFind uf(N);vvl g(H, vl(W, -1));rep(i, N) {auto& [X, Y] = XY[i];X--;Y--;g[X][Y] = i;}rep(i, N) {auto [X, Y] = XY[i];reps(dx, -D, D + 1) reps(dy, -D, D + 1) {if (abs(dx) + abs(dy) > D) {continue;}if (dx == 0 and dy == 0) continue;if (not inrect(X + dx, Y + dy, H, W)) continue;if (g[X + dx][Y + dy] >= 0) {uf.merge(i, g[X + dx][Y + dy]);}}}ll min_ans, max_ans, ans = 0;for (const auto& a : uf.groups()) {if (a.size() > 1) ans++;}min_ans = max_ans = ans;rep2(x, y, H, W) {if (g[x][y] >= 0) continue;sl s;ll tmp = 0;reps(dx, -D, D + 1) reps(dy, -D, D + 1) {if (abs(dx) + abs(dy) > D) {continue;}if (dx == 0 and dy == 0) continue;if (not inrect(x + dx, y + dy, H, W)) continue;if (g[x + dx][y + dy] >= 0) {s.insert(uf.leader(g[x + dx][y + dy]));if (uf.size(g[x + dx][y + dy]) == 1) tmp++;}}if (s.empty()) continue;tmp = 1 - (s.size() - tmp);chmin(min_ans, ans + tmp);chmax(max_ans, ans + tmp);}print(min_ans, max_ans);}int main() {std::cin.tie(nullptr);std::ios_base::sync_with_stdio(false);solve();}