結果
問題 | No.2366 登校 |
ユーザー | suisen |
提出日時 | 2023-06-30 22:50:03 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
WA
|
実行時間 | - |
コード長 | 24,825 bytes |
コンパイル時間 | 3,636 ms |
コンパイル使用メモリ | 325,080 KB |
実行使用メモリ | 817,920 KB |
最終ジャッジ日時 | 2024-07-07 22:01:17 |
合計ジャッジ時間 | 32,992 ms |
ジャッジサーバーID (参考情報) |
judge1 / judge4 |
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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 | 1 ms
5,376 KB |
testcase_03 | AC | 2 ms
5,376 KB |
testcase_04 | AC | 2 ms
5,376 KB |
testcase_05 | AC | 2 ms
5,376 KB |
testcase_06 | AC | 1 ms
5,376 KB |
testcase_07 | AC | 3 ms
5,376 KB |
testcase_08 | AC | 2 ms
5,376 KB |
testcase_09 | AC | 2 ms
5,376 KB |
testcase_10 | AC | 2 ms
5,376 KB |
testcase_11 | AC | 2 ms
5,376 KB |
testcase_12 | AC | 3,028 ms
243,576 KB |
testcase_13 | AC | 2,824 ms
243,708 KB |
testcase_14 | AC | 2,656 ms
243,580 KB |
testcase_15 | AC | 2,696 ms
243,580 KB |
testcase_16 | AC | 2 ms
5,376 KB |
testcase_17 | WA | - |
testcase_18 | AC | 2,780 ms
243,580 KB |
testcase_19 | AC | 2,516 ms
243,712 KB |
testcase_20 | AC | 3,035 ms
243,576 KB |
testcase_21 | AC | 2,451 ms
243,584 KB |
testcase_22 | WA | - |
testcase_23 | AC | 3 ms
5,376 KB |
testcase_24 | MLE | - |
testcase_25 | -- | - |
testcase_26 | -- | - |
ソースコード
#include <bits/stdc++.h> #ifdef _MSC_VER # include <intrin.h> #else # include <x86intrin.h> #endif #include <limits> #include <type_traits> namespace suisen { // ! utility template <typename ...Types> using constraints_t = std::enable_if_t<std::conjunction_v<Types...>, std::nullptr_t>; template <bool cond_v, typename Then, typename OrElse> constexpr decltype(auto) constexpr_if(Then&& then, OrElse&& or_else) { if constexpr (cond_v) { return std::forward<Then>(then); } else { return std::forward<OrElse>(or_else); } } // ! function template <typename ReturnType, typename Callable, typename ...Args> using is_same_as_invoke_result = std::is_same<std::invoke_result_t<Callable, Args...>, ReturnType>; template <typename F, typename T> using is_uni_op = is_same_as_invoke_result<T, F, T>; template <typename F, typename T> using is_bin_op = is_same_as_invoke_result<T, F, T, T>; template <typename Comparator, typename T> using is_comparator = std::is_same<std::invoke_result_t<Comparator, T, T>, bool>; // ! integral template <typename T, typename = constraints_t<std::is_integral<T>>> constexpr int bit_num = std::numeric_limits<std::make_unsigned_t<T>>::digits; template <typename T, unsigned int n> struct is_nbit { static constexpr bool value = bit_num<T> == n; }; template <typename T, unsigned int n> static constexpr bool is_nbit_v = is_nbit<T, n>::value; // ? template <typename T> struct safely_multipliable {}; template <> struct safely_multipliable<int> { using type = long long; }; template <> struct safely_multipliable<long long> { using type = __int128_t; }; template <> struct safely_multipliable<unsigned int> { using type = unsigned long long; }; template <> struct safely_multipliable<unsigned long int> { using type = __uint128_t; }; template <> struct safely_multipliable<unsigned long long> { using type = __uint128_t; }; template <> struct safely_multipliable<float> { using type = float; }; template <> struct safely_multipliable<double> { using type = double; }; template <> struct safely_multipliable<long double> { using type = long double; }; template <typename T> using safely_multipliable_t = typename safely_multipliable<T>::type; template <typename T, typename = void> struct rec_value_type { using type = T; }; template <typename T> struct rec_value_type<T, std::void_t<typename T::value_type>> { using type = typename rec_value_type<typename T::value_type>::type; }; template <typename T> using rec_value_type_t = typename rec_value_type<T>::type; } // namespace suisen // ! type aliases using i128 = __int128_t; using u128 = __uint128_t; template <typename T> using pq_greater = std::priority_queue<T, std::vector<T>, std::greater<T>>; // ! macros (internal) #define DETAIL_OVERLOAD2(_1,_2,name,...) name #define DETAIL_OVERLOAD3(_1,_2,_3,name,...) name #define DETAIL_OVERLOAD4(_1,_2,_3,_4,name,...) name #define DETAIL_REP4(i,l,r,s) for(std::remove_reference_t<std::remove_const_t<decltype(r)>>i=(l);i<(r);i+=(s)) #define DETAIL_REP3(i,l,r) DETAIL_REP4(i,l,r,1) #define DETAIL_REP2(i,n) DETAIL_REP3(i,0,n) #define DETAIL_REPINF3(i,l,s) for(std::remove_reference_t<std::remove_const_t<decltype(l)>>i=(l);;i+=(s)) #define DETAIL_REPINF2(i,l) DETAIL_REPINF3(i,l,1) #define DETAIL_REPINF1(i) DETAIL_REPINF2(i,0) #define DETAIL_RREP4(i,l,r,s) for(std::remove_reference_t<std::remove_const_t<decltype(r)>>i=(l)+fld((r)-(l)-1,s)*(s);i>=(l);i-=(s)) #define DETAIL_RREP3(i,l,r) DETAIL_RREP4(i,l,r,1) #define DETAIL_RREP2(i,n) DETAIL_RREP3(i,0,n) #define DETAIL_CAT_I(a, b) a##b #define DETAIL_CAT(a, b) DETAIL_CAT_I(a, b) #define DETAIL_UNIQVAR(tag) DETAIL_CAT(tag, __LINE__) // ! macros #define REP(...) DETAIL_OVERLOAD4(__VA_ARGS__, DETAIL_REP4 , DETAIL_REP3 , DETAIL_REP2 )(__VA_ARGS__) #define RREP(...) DETAIL_OVERLOAD4(__VA_ARGS__, DETAIL_RREP4 , DETAIL_RREP3 , DETAIL_RREP2 )(__VA_ARGS__) #define REPINF(...) DETAIL_OVERLOAD3(__VA_ARGS__, DETAIL_REPINF3, DETAIL_REPINF2, DETAIL_REPINF1)(__VA_ARGS__) #define LOOP(n) for (std::remove_reference_t<std::remove_const_t<decltype(n)>> DETAIL_UNIQVAR(loop_variable) = n; DETAIL_UNIQVAR(loop_variable) --> 0;) #define ALL(iterable) std::begin(iterable), std::end(iterable) #define INPUT(type, ...) type __VA_ARGS__; read(__VA_ARGS__) // ! debug #ifdef LOCAL # define debug(...) debug_internal(#__VA_ARGS__, __VA_ARGS__) template <class T, class... Args> void debug_internal(const char* s, T&& first, Args&&... args) { constexpr const char* prefix = "[\033[32mDEBUG\033[m] "; constexpr const char* open_brakets = sizeof...(args) == 0 ? "" : "("; constexpr const char* close_brakets = sizeof...(args) == 0 ? "" : ")"; std::cerr << prefix << open_brakets << s << close_brakets << ": " << open_brakets << std::forward<T>(first); ((std::cerr << ", " << std::forward<Args>(args)), ...); std::cerr << close_brakets << "\n"; } #else # define debug(...) void(0) #endif // ! I/O utilities // __int128_t std::ostream& operator<<(std::ostream& dest, __int128_t value) { std::ostream::sentry s(dest); if (s) { __uint128_t tmp = value < 0 ? -value : value; char buffer[128]; char* d = std::end(buffer); do { --d; *d = "0123456789"[tmp % 10]; tmp /= 10; } while (tmp != 0); if (value < 0) { --d; *d = '-'; } int len = std::end(buffer) - d; if (dest.rdbuf()->sputn(d, len) != len) { dest.setstate(std::ios_base::badbit); } } return dest; } // __uint128_t std::ostream& operator<<(std::ostream& dest, __uint128_t value) { std::ostream::sentry s(dest); if (s) { char buffer[128]; char* d = std::end(buffer); do { --d; *d = "0123456789"[value % 10]; value /= 10; } while (value != 0); int len = std::end(buffer) - d; if (dest.rdbuf()->sputn(d, len) != len) { dest.setstate(std::ios_base::badbit); } } return dest; } // pair template <typename T, typename U> std::ostream& operator<<(std::ostream& out, const std::pair<T, U>& a) { return out << a.first << ' ' << a.second; } // tuple template <unsigned int N = 0, typename ...Args> std::ostream& operator<<(std::ostream& out, const std::tuple<Args...>& a) { if constexpr (N >= std::tuple_size_v<std::tuple<Args...>>) return out; else { out << std::get<N>(a); if constexpr (N + 1 < std::tuple_size_v<std::tuple<Args...>>) out << ' '; return operator<<<N + 1>(out, a); } } // vector template <typename T> std::ostream& operator<<(std::ostream& out, const std::vector<T>& a) { for (auto it = a.begin(); it != a.end();) { out << *it; if (++it != a.end()) out << ' '; } return out; } // array template <typename T, size_t N> std::ostream& operator<<(std::ostream& out, const std::array<T, N>& a) { for (auto it = a.begin(); it != a.end();) { out << *it; if (++it != a.end()) out << ' '; } return out; } inline void print() { std::cout << '\n'; } template <typename Head, typename... Tail> inline void print(const Head& head, const Tail &...tails) { std::cout << head; if (sizeof...(tails)) std::cout << ' '; print(tails...); } template <typename Iterable> auto print_all(const Iterable& v, std::string sep = " ", std::string end = "\n") -> decltype(std::cout << *v.begin(), void()) { for (auto it = v.begin(); it != v.end();) { std::cout << *it; if (++it != v.end()) std::cout << sep; } std::cout << end; } __int128_t stoi128(const std::string& s) { __int128_t ret = 0; for (int i = 0; i < int(s.size()); i++) if ('0' <= s[i] and s[i] <= '9') ret = 10 * ret + s[i] - '0'; if (s[0] == '-') ret = -ret; return ret; } __uint128_t stou128(const std::string& s) { __uint128_t ret = 0; for (int i = 0; i < int(s.size()); i++) if ('0' <= s[i] and s[i] <= '9') ret = 10 * ret + s[i] - '0'; return ret; } // __int128_t std::istream& operator>>(std::istream& in, __int128_t& v) { std::string s; in >> s; v = stoi128(s); return in; } // __uint128_t std::istream& operator>>(std::istream& in, __uint128_t& v) { std::string s; in >> s; v = stou128(s); return in; } // pair template <typename T, typename U> std::istream& operator>>(std::istream& in, std::pair<T, U>& a) { return in >> a.first >> a.second; } // tuple template <unsigned int N = 0, typename ...Args> std::istream& operator>>(std::istream& in, std::tuple<Args...>& a) { if constexpr (N >= std::tuple_size_v<std::tuple<Args...>>) return in; else return operator>><N + 1>(in >> std::get<N>(a), a); } // vector template <typename T> std::istream& operator>>(std::istream& in, std::vector<T>& a) { for (auto it = a.begin(); it != a.end(); ++it) in >> *it; return in; } // array template <typename T, size_t N> std::istream& operator>>(std::istream& in, std::array<T, N>& a) { for (auto it = a.begin(); it != a.end(); ++it) in >> *it; return in; } template <typename ...Args> void read(Args &...args) { (std::cin >> ... >> args); } // ! integral utilities // Returns pow(-1, n) template <typename T> constexpr inline int pow_m1(T n) { return -(n & 1) | 1; } // Returns pow(-1, n) template <> constexpr inline int pow_m1<bool>(bool n) { return -int(n) | 1; } // Returns floor(x / y) template <typename T> constexpr inline T fld(const T x, const T y) { return (x ^ y) >= 0 ? x / y : (x - (y + pow_m1(y >= 0))) / y; } template <typename T> constexpr inline T cld(const T x, const T y) { return (x ^ y) <= 0 ? x / y : (x + (y + pow_m1(y >= 0))) / y; } template <typename T, std::enable_if_t<std::negation_v<suisen::is_nbit<T, 64>>, std::nullptr_t> = nullptr> __attribute__((target("popcnt"))) constexpr inline int popcount(const T x) { return _mm_popcnt_u32(x); } template <typename T, std::enable_if_t<suisen::is_nbit_v<T, 64>, std::nullptr_t> = nullptr> __attribute__((target("popcnt"))) constexpr inline int popcount(const T x) { return _mm_popcnt_u64(x); } template <typename T, std::enable_if_t<std::negation_v<suisen::is_nbit<T, 64>>, std::nullptr_t> = nullptr> constexpr inline int count_lz(const T x) { return x ? __builtin_clz(x) : suisen::bit_num<T>; } template <typename T, std::enable_if_t<suisen::is_nbit_v<T, 64>, std::nullptr_t> = nullptr> constexpr inline int count_lz(const T x) { return x ? __builtin_clzll(x) : suisen::bit_num<T>; } template <typename T, std::enable_if_t<std::negation_v<suisen::is_nbit<T, 64>>, std::nullptr_t> = nullptr> constexpr inline int count_tz(const T x) { return x ? __builtin_ctz(x) : suisen::bit_num<T>; } template <typename T, std::enable_if_t<suisen::is_nbit_v<T, 64>, std::nullptr_t> = nullptr> constexpr inline int count_tz(const T x) { return x ? __builtin_ctzll(x) : suisen::bit_num<T>; } template <typename T> constexpr inline int floor_log2(const T x) { return suisen::bit_num<T> - 1 - count_lz(x); } template <typename T> constexpr inline int ceil_log2(const T x) { return floor_log2(x) + ((x & -x) != x); } template <typename T> constexpr inline int kth_bit(const T x, const unsigned int k) { return (x >> k) & 1; } template <typename T> constexpr inline int parity(const T x) { return popcount(x) & 1; } // ! container template <typename T, typename Comparator> auto priqueue_comp(const Comparator comparator) { return std::priority_queue<T, std::vector<T>, Comparator>(comparator); } template <typename Container> void sort_unique_erase(Container& a) { std::sort(a.begin(), a.end()); a.erase(std::unique(a.begin(), a.end()), a.end()); } template <typename InputIterator, typename BiConsumer> auto foreach_adjacent_values(InputIterator first, InputIterator last, BiConsumer f) -> decltype(f(*first++, *last), void()) { if (first != last) for (auto itr = first, itl = itr++; itr != last; itl = itr++) f(*itl, *itr); } template <typename Container, typename BiConsumer> auto foreach_adjacent_values(Container &&c, BiConsumer f) -> decltype(c.begin(), c.end(), void()) { foreach_adjacent_values(c.begin(), c.end(), f); } // ! other utilities // x <- min(x, y). returns true iff `x` has chenged. template <typename T> inline bool chmin(T& x, const T& y) { return y >= x ? false : (x = y, true); } // x <- max(x, y). returns true iff `x` has chenged. template <typename T> inline bool chmax(T& x, const T& y) { return y <= x ? false : (x = y, true); } template <typename T, std::enable_if_t<std::is_integral_v<T>, std::nullptr_t> = nullptr> std::string bin(T val, int bit_num = -1) { std::string res; if (bit_num != -1) { for (int bit = bit_num; bit-- > 0;) res += '0' + ((val >> bit) & 1); } else { for (; val; val >>= 1) res += '0' + (val & 1); std::reverse(res.begin(), res.end()); } return res; } template <typename T, std::enable_if_t<std::is_integral_v<T>, std::nullptr_t> = nullptr> std::vector<T> digits_low_to_high(T val, T base = 10) { std::vector<T> res; for (; val; val /= base) res.push_back(val % base); if (res.empty()) res.push_back(T{ 0 }); return res; } template <typename T, std::enable_if_t<std::is_integral_v<T>, std::nullptr_t> = nullptr> std::vector<T> digits_high_to_low(T val, T base = 10) { auto res = digits_low_to_high(val, base); std::reverse(res.begin(), res.end()); return res; } template <typename T> std::string join(const std::vector<T>& v, const std::string& sep, const std::string& end) { std::ostringstream ss; for (auto it = v.begin(); it != v.end();) { ss << *it; if (++it != v.end()) ss << sep; } ss << end; return ss.str(); } template <typename Func, typename Seq> auto transform_to_vector(const Func &f, const Seq &s) { std::vector<std::invoke_result_t<Func, typename Seq::value_type>> v; v.reserve(std::size(s)), std::transform(std::begin(s), std::end(s), std::back_inserter(v), f); return v; } template <typename T, typename Seq> auto copy_to_vector(const Seq &s) { std::vector<T> v; v.reserve(std::size(s)), std::copy(std::begin(s), std::end(s), std::back_inserter(v)); return v; } template <typename Seq> Seq concat(Seq s, const Seq &t) { s.reserve(std::size(s) + std::size(t)); std::copy(std::begin(t), std::end(t), std::back_inserter(s)); return s; } template <typename Seq> std::vector<Seq> split(const Seq s, typename Seq::value_type delim) { std::vector<Seq> res; for (auto itl = std::begin(s), itr = itl;; itl = ++itr) { while (itr != std::end(s) and *itr != delim) ++itr; res.emplace_back(itl, itr); if (itr == std::end(s)) return res; } } int digit_to_int(char c) { return c - '0'; } int lowercase_to_int(char c) { return c - 'a'; } int uppercase_to_int(char c) { return c - 'A'; } std::vector<int> digit_str_to_ints(const std::string &s) { return transform_to_vector(digit_to_int, s); } std::vector<int> lowercase_str_to_ints(const std::string &s) { return transform_to_vector(lowercase_to_int, s); } std::vector<int> uppercase_str_to_ints(const std::string &s) { return transform_to_vector(uppercase_to_int, s); } template <typename T, typename ToKey, typename CompareValue = std::less<>, std::enable_if_t< std::conjunction_v< std::is_invocable<ToKey, T>, std::is_invocable_r<bool, CompareValue, std::invoke_result_t<ToKey, T>, std::invoke_result_t<ToKey, T> > >, std::nullptr_t> = nullptr > auto comparator(const ToKey &to_key, const CompareValue &compare_value = std::less<>()) { return [to_key, compare_value](const T& x, const T& y) { return compare_value(to_key(x), to_key(y)); }; } template <typename ToKey, std::enable_if_t<std::is_invocable_v<ToKey, int>, std::nullptr_t> = nullptr> std::vector<int> sorted_indices(int n, const ToKey &to_key) { std::vector<int> p(n); std::iota(p.begin(), p.end(), 0); std::sort(p.begin(), p.end(), comparator<int>(to_key)); return p; } template <typename Compare, std::enable_if_t<std::is_invocable_r_v<bool, Compare, int, int>, std::nullptr_t> = nullptr> std::vector<int> sorted_indices(int n, const Compare &compare) { std::vector<int> p(n); std::iota(p.begin(), p.end(), 0); std::sort(p.begin(), p.end(), compare); return p; } const std::string Yes = "Yes", No = "No", YES = "YES", NO = "NO"; namespace suisen {} using namespace suisen; using namespace std; struct io_setup { io_setup(int precision = 20) { std::ios::sync_with_stdio(false); std::cin.tie(nullptr); std::cout << std::fixed << std::setprecision(precision); } } io_setup_{}; // ! code from here #include <utility> #include <vector> // l <= x < r template <typename T> constexpr inline bool in_range(const T &x, const T &l, const T &r) { return l <= x and x < r; } // 0 <= x < r template <typename T> constexpr inline bool in_range(const T &x, const T &r) { return (std::make_unsigned_t<T>) x < (std::make_unsigned_t<T>) r; } // not (l <= x < r) template <typename T> constexpr inline bool out_range(const T &x, const T &l, const T &r) { return x < l or r <= x; } // not (0 <= x < r) template <typename T> constexpr inline bool out_range(const T &x, const T &r) { return (std::make_unsigned_t<T>) x >= (std::make_unsigned_t<T>) r; } constexpr int dx4[4] = {1, 0, -1, 0}; constexpr int dy4[4] = {0, 1, 0, -1}; constexpr int dx8[8] = {1, 1, 0, -1, -1, -1, 0, 1}; constexpr int dy8[8] = {0, 1, 1, 1, 0, -1, -1, -1}; constexpr std::pair<int, int> dxy4[4] = { { dx4[0], dy4[0] }, { dx4[1], dy4[1] }, { dx4[2], dy4[2] }, { dx4[3], dy4[3] }, }; constexpr std::pair<int, int> dxy8[8] = { { dx8[0], dy8[0] }, { dx8[1], dy8[1] }, { dx8[2], dy8[2] }, { dx8[3], dy8[3] }, { dx8[4], dy8[4] }, { dx8[5], dy8[5] }, { dx8[6], dy8[6] }, { dx8[7], dy8[7] }, }; template <int D, auto dx, auto dy> struct AdjacentCells { struct Iterator { const int x, y; int d; bool operator!=(std::nullptr_t) { return d != D; } void operator++() { ++d; } std::pair<int, int> operator*() { return { x + dx[d], y + dy[d] }; } }; const int x, y; AdjacentCells(int x, int y) : x(x), y(y) {} auto begin() { return Iterator { x, y, 0 }; } constexpr std::nullptr_t end() { return nullptr; } operator std::vector<std::pair<int, int>>() { std::vector<std::pair<int, int>> res; for (const auto &p : *this) res.push_back(p); return res; } }; template <int D, auto dx, auto dy> struct AdjacentCellsBounded { struct Iterator { const int x, y, xl, xr, yl, yr; int d; bool operator!=(std::nullptr_t) { for (; d != D; ++d) if (in_range(x + dx[d], xl, xr) and in_range(y + dy[d], yl, yr)) return true; return false; } void operator++() { ++d; } std::pair<int, int> operator*() { return { x + dx[d], y + dy[d] }; } }; const int x, y, xl, xr, yl, yr; AdjacentCellsBounded(int x, int y, int xl, int xr, int yl, int yr) : x(x), y(y), xl(xl), xr(xr), yl(yl), yr(yr) {} AdjacentCellsBounded(int x, int y, int xr, int yr) : AdjacentCellsBounded(x, y, 0, xr, 0, yr) {} auto begin() { return Iterator { x, y, xl, xr, yl, yr, 0 }; } constexpr std::nullptr_t end() { return nullptr; } operator std::vector<std::pair<int, int>>() { std::vector<std::pair<int, int>> res; for (const auto &p : *this) res.push_back(p); return res; } }; // [ {x+dx4[i], y+dy4[i]} for i in range(4) ] using AdjacentFourCells = AdjacentCells<4, dx4, dy4>; // [ {nx:=x+dx4[i], ny:=y+dy4[i]} for i in range(4) if xl<=nx<xr and yl<=ny<yr ] using AdjacentFourCellsBounded = AdjacentCellsBounded<4, dx4, dy4>; // [ {x+dx8[i], y+dy8[i]} for i in range(8) ] using AdjacentEightCells = AdjacentCells<8, dx8, dy8>; // [ {nx:=x+dx8[i], ny:=y+dy8[i]} for i in range(8) if xl<=nx<xr and yl<=ny<yr ] using AdjacentEightCellsBounded = AdjacentCellsBounded<8, dx8, dy8>; // [ {x+dx4[i], y+dy4[i]} for i in range(4) ] auto adjacent_four_cells(int x, int y) { return AdjacentFourCells { x, y }; } // [ {nx:=x+dx4[i], ny:=y+dy4[i]} for i in range(4) if xl<=nx<xr and yl<=ny<yr ] auto adjacent_four_cells(int x, int y, int xl, int xr, int yl, int yr) { return AdjacentFourCellsBounded { x, y, xl, xr, yl, yr }; } // [ {nx:=x+dx4[i], ny:=y+dy4[i]} for i in range(4) if 0 <=nx<xr and 0 <=ny<yr ] auto adjacent_four_cells(int x, int y, int xr, int yr) { return AdjacentFourCellsBounded { x, y, 0 , xr, 0 , yr }; } // [ {x+dx8[i], y+dy8[i]} for i in range(8) ] auto adjacent_eight_cells(int x, int y) { return AdjacentEightCells { x, y }; } // [ {nx:=x+dx8[i], ny:=y+dy8[i]} for i in range(8) if xl<=nx<xr and yl<=ny<yr ] auto adjacent_eight_cells(int x, int y, int xl, int xr, int yl, int yr) { return AdjacentEightCellsBounded { x, y, xl, xr, yl, yr }; } // [ {nx:=x+dx8[i], ny:=y+dy8[i]} for i in range(8) if 0 <=nx<xr and 0 <=ny<yr ] auto adjacent_eight_cells(int x, int y, int xr, int yr) { return AdjacentEightCellsBounded { x, y, 0 , xr, 0 , yr }; } #include <algorithm> #include <queue> namespace suisen { template<typename Cost> class dijkstra { public: template <typename Transition> dijkstra(unsigned int n, Transition transition, unsigned int src) : _src(src) { _par.resize(n); _dist.assign(n, UNREACHABLE); _dist[src] = 0; using state = std::pair<Cost, unsigned int>; std::priority_queue<state, std::vector<state>, std::greater<state>> pq; pq.emplace(0, src); auto g = [&](unsigned int u) { return [&, u](unsigned int v, Cost new_cost) { if (new_cost < _dist[v]) pq.emplace(_dist[v] = new_cost, v), _par[v] = u; }; }; while (pq.size()) { auto [du, u] = pq.top(); pq.pop(); if (du == _dist[u]) transition(u, du, g(u)); } } dijkstra(const std::vector<std::vector<std::pair<int, Cost>>> &g, unsigned int src) : dijkstra(g.size(), [&](int u, Cost du, auto f) { for (auto [v, c] : g[u]) f(v, du + c); }, src) {} std::vector<unsigned int> path_to(unsigned int t) const { assert(is_reachale(t)); std::vector<unsigned int> path = {t}; while (t != _src) path.push_back(t = _par[t]); std::reverse(path.begin(), path.end()); return path; } Cost operator[](unsigned int t) const { return _dist[t]; } bool is_reachale (unsigned int t) const { return _dist[t] != UNREACHABLE; } bool is_unreachable(unsigned int t) const { return _dist[t] == UNREACHABLE; } private: const Cost UNREACHABLE = std::numeric_limits<Cost>::max(); const unsigned int _src; std::vector<Cost> _dist; std::vector<unsigned int> _par; }; } // namespace suisen constexpr long long inf = numeric_limits<long long>::max() / 2; int main() { int n, m, k, t; read(n, m, k, t); vector special(n, vector<pair<int, int>>(m, { 0, 0 })); LOOP(k) { int a, b, c, d; read(a, b, c, d); --a, --b, --c; special[a][b] = { c, d }; } const int l = (n - 1) + (m - 1); if (l <= t) { print(0); return 0; } const int max_l = 80 * (l + 1); auto make_state = [&](int i, int j, int q) { return (i * m + j) * (max_l + 1) + q; }; auto decomp_state = [&](int u) { int ij = u / (max_l + 1); int i = ij / m, j = ij % m; int q = u % (max_l + 1); return tuple{ i, j, q }; }; const int end_state = (n * m) * (max_l + 1); dijkstra<long long> dij( end_state + 1, [&](int u, long long du, auto trans) { if (u == end_state) return; auto [i, j, q] = decomp_state(u); if (special[i][j].first) { auto [c, d] = special[i][j]; while (true) { q -= c; du += d; if (q <= 0) { trans(end_state, du); break; } trans(make_state(i, j, q), du); } } else { for (auto [ni, nj] : adjacent_four_cells(i, j, n, m)) { int nq = q + 2 * (ni < i or nj < j); if (nq <= max_l) { trans(make_state(ni, nj, nq), du); } } } }, l - t ); print(dij.is_reachale(end_state) ? dij[end_state] : -1); }