結果
| 問題 | No.3100 始業式 |
| ユーザー |
 suisen
|
| 提出日時 | 2023-03-31 23:16:48 |
| 言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
| 結果 |
WA
|
| 実行時間 | - |
| コード長 | 22,508 bytes |
| コンパイル時間 | 3,015 ms |
| コンパイル使用メモリ | 309,856 KB |
| 実行使用メモリ | 6,816 KB |
| 最終ジャッジ日時 | 2024-09-23 02:21:44 |
| 合計ジャッジ時間 | 3,369 ms |
|
ジャッジサーバーID （参考情報） |
judge1 / judge4 |
（要ログイン）
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);
}
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
#include <algorithm>
#include <cmath>
#include <optional>
#include <vector>
namespace suisen {
namespace internal::gauss_jordan {
template <typename T, typename EqZero, std::enable_if_t<std::negation_v<std::is_floating_point<T>>, std::nullptr_t> = nullptr>
std::pair<size_t, size_t> pivoting(const std::vector<std::vector<T>>& Ab, const size_t i, EqZero equals_zero) {
const size_t n = Ab.size(), m = Ab[0].size() - 1;
size_t mse = m, pivot = n;
for (size_t row = i; row < n; ++row) {
const auto &v = Ab[row];
size_t col = std::find_if_not(v.begin(), v.begin() + mse, equals_zero) - v.begin();
if (col < mse) mse = col, pivot = row;
}
return { mse, pivot };
}
// Gauss pivoting
template <typename T, typename EqZero, std::enable_if_t<std::is_floating_point_v<T>, std::nullptr_t> = nullptr>
std::pair<size_t, size_t> pivoting(const std::vector<std::vector<T>>& Ab, const size_t i, EqZero equals_zero) {
const size_t n = Ab.size(), m = Ab[0].size() - 1;
size_t mse = m, pivot = n;
T max_val = 0;
for (size_t row = i; row < n; ++row) {
const auto &v = Ab[row];
if (mse < m and std::abs(v[mse]) > max_val) pivot = row, max_val = std::abs(v[mse]);
size_t col = std::find_if_not(v.begin(), v.begin() + mse, equals_zero) - v.begin();
if (col < mse) mse = col, pivot = row, max_val = std::abs(Ab[row][col]);
}
return { mse, pivot };
}
template <typename T> constexpr T add_fp_f2(T x, T y) { return x ^ y; }
template <typename T> constexpr T add_inv_fp_f2(T x) { return x; }
template <typename T> constexpr T mul_fp_f2(T x, T y) { return x & y; }
template <typename T> constexpr T mul_inv_fp_f2(T x) { return x; }
template <typename T> constexpr T add_fp_arithmetic(T x, T y) { return x + y; }
template <typename T> constexpr T add_inv_fp_arithmetic(T x) { return 0 - x; }
template <typename T> constexpr T mul_fp_arithmetic(T x, T y) { return x * y; }
template <typename T> constexpr T mul_inv_fp_arithmetic(T x) { return 1 / x; }
}
template <typename T, T(*add_fp)(T, T), T(*add_inv_fp)(T), T(*mul_fp)(T, T), T(*mul_inv_fp)(T)>
struct GaussianElimination {
GaussianElimination(std::vector<std::vector<T>> A, const std::vector<T>& b, const T &zero = T(0), const T &one = T(1)) {
size_t n = A.size();
for (size_t i = 0; i < n; ++i) A[i].push_back(b[i]);
solve(zero, one, A);
}
bool has_solution() const { return not _empty; }
bool has_unique_solution() const { return not _empty and _basis.size() == 0; }
bool has_multiple_solutions() const { return _basis.size() > 0; }
const std::optional<std::vector<T>> get_solution() const { return _empty ? std::nullopt : std::make_optional(_x0); }
const std::vector<std::vector<T>>& get_basis() const { return _basis; }
int dimension() const { return _empty ? -1 : _basis.size(); }
private:
std::vector<T> _x0;
std::vector<std::vector<T>> _basis;
bool _empty = false;
void solve(const T &zero, const T &one, std::vector<std::vector<T>>& Ab) {
using namespace internal::gauss_jordan;
auto equals_zero = [&](const T& v) {
if constexpr (std::is_floating_point_v<T>) return std::abs(v) < 1e-9;
else return v == zero;
};
const size_t n = Ab.size(), m = Ab[0].size() - 1;
for (size_t i = 0; i < n; ++i) {
auto [mse, pivot] = pivoting(Ab, i, equals_zero);
if (pivot == n) break;
Ab[i].swap(Ab[pivot]);
T mse_val_inv = mul_inv_fp(Ab[i][mse]);
for (size_t row = i + 1; row < n; ++row) if (not equals_zero(Ab[row][mse])) {
T coef = add_inv_fp(mul_fp(Ab[row][mse], mse_val_inv));
for (size_t col = mse; col <= m; ++col) Ab[row][col] = add_fp(Ab[row][col], mul_fp(coef, Ab[i][col]));
}
}
size_t basis_num = m;
std::vector<char> down(m, false);
_x0.assign(m, zero);
for (size_t i = n; i-- > 0;) {
size_t mse = m + 1;
for (size_t col = 0; col <= m; ++col) if (not equals_zero(Ab[i][col])) {
mse = col;
break;
}
if (mse < m) {
T mse_val_inv = mul_inv_fp(Ab[i][mse]);
for (size_t row = 0; row < i; ++row) if (not equals_zero(Ab[row][mse])) {
T coef = add_inv_fp(mul_fp(Ab[row][mse], mse_val_inv));
for (size_t col = mse; col <= m; ++col) Ab[row][col] = add_fp(Ab[row][col], mul_fp(coef, Ab[i][col]));
}
for (size_t col = mse; col <= m; ++col) Ab[i][col] = mul_fp(Ab[i][col], mse_val_inv);
_x0[mse] = Ab[i][m];
down[mse] = true;
--basis_num;
} else if (mse == m) {
_empty = true;
return;
}
}
_basis.assign(basis_num, std::vector<T>(m));
int basis_id = 0;
for (size_t j = 0; j < m; ++j) if (not down[j]) {
for (size_t j2 = 0, i = 0; j2 < m; ++j2) _basis[basis_id][j2] = down[j2] ? Ab[i++][j] : zero;
_basis[basis_id++][j] = add_inv_fp(one);
}
}
};
template <typename T>
using GaussianEliminationF2 = GaussianElimination<
T,
internal::gauss_jordan::add_fp_f2, internal::gauss_jordan::add_inv_fp_f2,
internal::gauss_jordan::mul_fp_f2, internal::gauss_jordan::mul_inv_fp_f2>;
template <typename T>
using GaussianEliminationArithmetic = GaussianElimination<
T,
internal::gauss_jordan::add_fp_arithmetic, internal::gauss_jordan::add_inv_fp_arithmetic,
internal::gauss_jordan::mul_fp_arithmetic, internal::gauss_jordan::mul_inv_fp_arithmetic>;
} // namespace suisen
int main() {
int t;
read(t);
LOOP(t) {
int n;
read(n);
vector<int> f(n);
read(f);
int ans = accumulate(ALL(f), 0);
print(ans);
}
return 0;
}