結果
問題 | No.2378 Cards and Subsequences |
ユーザー | suisen |
提出日時 | 2023-07-07 22:42:30 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
AC
|
実行時間 | 140 ms / 2,000 ms |
コード長 | 20,768 bytes |
コンパイル時間 | 3,573 ms |
コンパイル使用メモリ | 315,976 KB |
実行使用メモリ | 19,584 KB |
最終ジャッジ日時 | 2024-07-21 18:58:07 |
合計ジャッジ時間 | 7,423 ms |
ジャッジサーバーID (参考情報) |
judge2 / judge5 |
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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 | 2 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 | 3 ms
5,376 KB |
testcase_07 | AC | 4 ms
5,376 KB |
testcase_08 | AC | 4 ms
5,376 KB |
testcase_09 | AC | 9 ms
5,760 KB |
testcase_10 | AC | 10 ms
5,888 KB |
testcase_11 | AC | 11 ms
7,808 KB |
testcase_12 | AC | 12 ms
6,528 KB |
testcase_13 | AC | 6 ms
5,376 KB |
testcase_14 | AC | 102 ms
19,456 KB |
testcase_15 | AC | 98 ms
19,456 KB |
testcase_16 | AC | 100 ms
19,456 KB |
testcase_17 | AC | 101 ms
19,456 KB |
testcase_18 | AC | 103 ms
19,456 KB |
testcase_19 | AC | 101 ms
19,584 KB |
testcase_20 | AC | 96 ms
19,328 KB |
testcase_21 | AC | 95 ms
19,456 KB |
testcase_22 | AC | 97 ms
19,328 KB |
testcase_23 | AC | 97 ms
19,456 KB |
testcase_24 | AC | 82 ms
19,456 KB |
testcase_25 | AC | 81 ms
19,456 KB |
testcase_26 | AC | 81 ms
19,456 KB |
testcase_27 | AC | 82 ms
19,456 KB |
testcase_28 | AC | 80 ms
19,456 KB |
testcase_29 | AC | 134 ms
19,328 KB |
testcase_30 | AC | 140 ms
19,328 KB |
testcase_31 | AC | 135 ms
19,456 KB |
testcase_32 | AC | 136 ms
19,456 KB |
testcase_33 | AC | 135 ms
19,456 KB |
testcase_34 | AC | 132 ms
19,456 KB |
testcase_35 | AC | 60 ms
19,456 KB |
testcase_36 | AC | 94 ms
19,456 KB |
testcase_37 | AC | 93 ms
19,456 KB |
testcase_38 | AC | 90 ms
19,456 KB |
testcase_39 | AC | 93 ms
19,328 KB |
testcase_40 | AC | 5 ms
5,376 KB |
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 <atcoder/modint> using mint = atcoder::modint998244353; namespace atcoder { std::istream& operator>>(std::istream& in, mint &a) { long long e; in >> e; a = e; return in; } std::ostream& operator<<(std::ostream& out, const mint &a) { out << a.val(); return out; } } // namespace atcoder constexpr int M = 2000; #include <cassert> #include <vector> namespace suisen { namespace default_operator { template <typename T> auto zero() -> decltype(T { 0 }) { return T { 0 }; } template <typename T> auto one() -> decltype(T { 1 }) { return T { 1 }; } template <typename T> auto add(const T &x, const T &y) -> decltype(x + y) { return x + y; } template <typename T> auto sub(const T &x, const T &y) -> decltype(x - y) { return x - y; } template <typename T> auto mul(const T &x, const T &y) -> decltype(x * y) { return x * y; } template <typename T> auto div(const T &x, const T &y) -> decltype(x / y) { return x / y; } template <typename T> auto mod(const T &x, const T &y) -> decltype(x % y) { return x % y; } template <typename T> auto neg(const T &x) -> decltype(-x) { return -x; } template <typename T> auto inv(const T &x) -> decltype(one<T>() / x) { return one<T>() / x; } } // default_operator namespace default_operator_noref { template <typename T> auto zero() -> decltype(T { 0 }) { return T { 0 }; } template <typename T> auto one() -> decltype(T { 1 }) { return T { 1 }; } template <typename T> auto add(T x, T y) -> decltype(x + y) { return x + y; } template <typename T> auto sub(T x, T y) -> decltype(x - y) { return x - y; } template <typename T> auto mul(T x, T y) -> decltype(x * y) { return x * y; } template <typename T> auto div(T x, T y) -> decltype(x / y) { return x / y; } template <typename T> auto mod(T x, T y) -> decltype(x % y) { return x % y; } template <typename T> auto neg(T x) -> decltype(-x) { return -x; } template <typename T> auto inv(T x) -> decltype(one<T>() / x) { return one<T>() / x; } } // default_operator } // namespace suisen namespace suisen { template <typename T, auto zero = default_operator::zero<T>, auto add = default_operator::add<T>, auto sub = default_operator::sub<T>> struct CumulativeSum { CumulativeSum() {} CumulativeSum(const std::vector<T> &a) : n(a.size()), s(n + 1, zero()) { for (size_t i = 0; i < n; ++i) s[i + 1] = add(a[i], s[i]); } T operator()(size_t l, size_t r) const { assert(l <= r and r <= n); return sub(s[r], s[l]); } T sum(size_t l, size_t r) const { return (*this)(l, r); } void push_back(const T& v) { if (s.empty()) s.push_back(zero()); T new_sum = add(s.back(), v); ++n, s.push_back(std::move(new_sum)); } private: size_t n; std::vector<T> s; }; } int main() { int n, m, k; read(n, m, k); vector<int> s(n), a(m), b(m); read(s, a, b); for (auto &e : s) --e; vector dp(k + 1, CumulativeSum<mint>{}); REP(v, k + 1) { dp[v].push_back(v == 0); } vector<int> last(M, -1); REP(i, n) { // last[s[i]], ..., i - 1 -> i vector<mint> add(k + 1); int v1 = a[s[i]], v2 = b[s[i]]; REP(v, k + 1) { if (v + v1 <= k) { add[v + v1] += dp[v].sum(last[s[i]] + 1, i + 1); } if (v + v2 <= k) { add[v + v2] += dp[v].sum(last[s[i]] + 1, i + 1); } } REP(v, k + 1) { dp[v].push_back(add[v]); } last[s[i]] = i; } print(dp[k].sum(0, n + 1)); return 0; }