結果
問題 | No.1938 Lagrange Sum |
ユーザー |
|
提出日時 | 2022-05-14 00:10:16 |
言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
結果 |
CE
(最新)
AC
(最初)
|
実行時間 | - |
コード長 | 27,267 bytes |
コンパイル時間 | 3,130 ms |
コンパイル使用メモリ | 233,080 KB |
最終ジャッジ日時 | 2025-01-29 07:48:08 |
ジャッジサーバーID (参考情報) |
judge1 / judge5 |
(要ログイン)
コンパイルエラー時のメッセージ・ソースコードは、提出者また管理者しか表示できないようにしております。(リジャッジ後のコンパイルエラーは公開されます)
ただし、clay言語の場合は開発者のデバッグのため、公開されます。
ただし、clay言語の場合は開発者のデバッグのため、公開されます。
コンパイルメッセージ
main.cpp: In instantiation of ‘void read(Args& ...) [with Args = {atcoder::static_modint<998244353, 0>}]’: main.cpp:724:5: required from here main.cpp:201:26: error: no match for ‘operator>>’ (operand types are ‘std::istream’ {aka ‘std::basic_istream<char>’} and ‘atcoder::static_modint<998244353>’) 201 | ( std::cin >> ... >> args ); | ~~~~~~~~~~~~~~~~~~~~~^~~~~~ In file included from /usr/include/c++/13/sstream:40, from /usr/include/c++/13/complex:45, from /usr/include/c++/13/ccomplex:39, from /usr/include/x86_64-linux-gnu/c++/13/bits/stdc++.h:127, from main.cpp:5: /usr/include/c++/13/istream:325:7: note: candidate: ‘std::basic_istream<_CharT, _Traits>::__istream_type& std::basic_istream<_CharT, _Traits>::operator>>(void*&) [with _CharT = char; _Traits = std::char_traits<char>; __istream_type = std::basic_istream<char>]’ 325 | operator>>(void*& __p) | ^~~~~~~~ /usr/include/c++/13/istream:325:25: note: no known conversion for argument 1 from ‘atcoder::static_modint<998244353>’ to ‘void*&’ 325 | operator>>(void*& __p) | ~~~~~~~^~~ /usr/include/c++/13/istream:224:7: note: candidate: ‘std::basic_istream<_CharT, _Traits>::__istream_type& std::basic_istream<_CharT, _Traits>::operator>>(long double&) [with _CharT = char; _Traits = std::char_traits<char>; __istream_type = std::basic_istream<char>]’ 224 | operator>>(long double& __f) | ^~~~~~~~ /usr/include/c++/13/istream:224:31: note: no known conversion for argument 1 from ‘atcoder::static_modint<998244353>’ to ‘long double&’ 224 | operator>>(long double& __f) | ~~~~~~~~~~~~~^~~ /usr/include/c++/13/istream:220:7: note: candidate: ‘std::basic_istream<_CharT, _Traits>::__istream_type& std::basic_istream<_CharT, _Traits>::operator>>(double&) [with _CharT = char; _Traits = std::char_traits<cha
ソースコード
#pragma GCC target("avx2")#pragma GCC optimize("O3")#pragma GCC optimize("unroll-loops")#include <bits/stdc++.h>#include <limits>#include <type_traits>namespace suisen {// ! utilitytemplate <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);}}// ! functiontemplate <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>;// ! integraltemplate <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;} // namespace suisen// ! type aliasesusing i128 = __int128_t;using u128 = __uint128_t;template <typename T>using pq_greater = std::priority_queue<T, std::vector<T>, std::greater<T>>;template <typename T, typename U>using umap = std::unordered_map<T, U>;// ! macros (capital: internal macro)#define OVERLOAD2(_1,_2,name,...) name#define OVERLOAD3(_1,_2,_3,name,...) name#define OVERLOAD4(_1,_2,_3,_4,name,...) name#define REP4(i,l,r,s) for(std::remove_reference_t<std::remove_const_t<decltype(r)>>i=(l);i<(r);i+=(s))#define REP3(i,l,r) REP4(i,l,r,1)#define REP2(i,n) REP3(i,0,n)#define REPINF3(i,l,s) for(std::remove_reference_t<std::remove_const_t<decltype(l)>>i=(l);;i+=(s))#define REPINF2(i,l) REPINF3(i,l,1)#define REPINF1(i) REPINF2(i,0)#define 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 RREP3(i,l,r) RREP4(i,l,r,1)#define RREP2(i,n) RREP3(i,0,n)#define rep(...) OVERLOAD4(__VA_ARGS__, REP4 , REP3 , REP2 )(__VA_ARGS__)#define rrep(...) OVERLOAD4(__VA_ARGS__, RREP4 , RREP3 , RREP2 )(__VA_ARGS__)#define repinf(...) OVERLOAD3(__VA_ARGS__, REPINF3, REPINF2, REPINF1)(__VA_ARGS__)#define CAT_I(a, b) a##b#define CAT(a, b) CAT_I(a, b)#define UNIQVAR(tag) CAT(tag, __LINE__)#define loop(n) for (std::remove_reference_t<std::remove_const_t<decltype(n)>> UNIQVAR(loop_variable) = n; UNIQVAR(loop_variable) --> 0;)#define all(iterable) std::begin(iterable), std::end(iterable)#define input(type, ...) type __VA_ARGS__; read(__VA_ARGS__)#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// pairtemplate <typename T, typename U>std::ostream& operator<<(std::ostream& out, const std::pair<T, U> &a) {return out << a.first << ' ' << a.second;}// tupletemplate <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);}}// vectortemplate <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;}// arraytemplate <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;}// pairtemplate <typename T, typename U>std::istream& operator>>(std::istream& in, std::pair<T, U> &a) {return in >> a.first >> a.second;}// tupletemplate <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);}}// vectortemplate <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;}// arraytemplate <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, suisen::constraints_t<suisen::is_nbit<T, 16>> = nullptr>constexpr inline int popcount(const T x) { return __builtin_popcount(x); }template <typename T, suisen::constraints_t<suisen::is_nbit<T, 32>> = nullptr>constexpr inline int popcount(const T x) { return __builtin_popcount(x); }template <typename T, suisen::constraints_t<suisen::is_nbit<T, 64>> = nullptr>constexpr inline int popcount(const T x) { return __builtin_popcountll(x); }template <typename T, suisen::constraints_t<suisen::is_nbit<T, 16>> = nullptr>constexpr inline int count_lz(const T x) { return x ? __builtin_clz(x) : suisen::bit_num<T>; }template <typename T, suisen::constraints_t<suisen::is_nbit<T, 32>> = nullptr>constexpr inline int count_lz(const T x) { return x ? __builtin_clz(x) : suisen::bit_num<T>; }template <typename T, suisen::constraints_t<suisen::is_nbit<T, 64>> = nullptr>constexpr inline int count_lz(const T x) { return x ? __builtin_clzll(x) : suisen::bit_num<T>; }template <typename T, suisen::constraints_t<suisen::is_nbit<T, 16>> = nullptr>constexpr inline int count_tz(const T x) { return x ? __builtin_ctz(x) : suisen::bit_num<T>; }template <typename T, suisen::constraints_t<suisen::is_nbit<T, 32>> = nullptr>constexpr inline int count_tz(const T x) { return x ? __builtin_ctz(x) : suisen::bit_num<T>; }template <typename T, suisen::constraints_t<suisen::is_nbit<T, 64>> = 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; }struct all_subset {struct all_subset_iter {const int s; int t;constexpr all_subset_iter(int s) : s(s), t(s + 1) {}constexpr auto operator*() const { return t; }constexpr auto operator++() {}constexpr auto operator!=(std::nullptr_t) { return t ? (--t &= s, true) : false; }};int s;constexpr all_subset(int s) : s(s) {}constexpr auto begin() { return all_subset_iter(s); }constexpr auto end() { return nullptr; }};// ! containertemplate <typename T, typename Comparator, suisen::constraints_t<suisen::is_comparator<Comparator, T>> = nullptr>auto priqueue_comp(const Comparator comparator) {return std::priority_queue<T, std::vector<T>, Comparator>(comparator);}template <typename Iterable>auto isize(const Iterable &iterable) -> decltype(int(iterable.size())) {return iterable.size();}template <typename T, typename Gen, suisen::constraints_t<suisen::is_same_as_invoke_result<T, Gen, int>> = nullptr>auto generate_vector(int n, Gen generator) {std::vector<T> v(n);for (int i = 0; i < n; ++i) v[i] = generator(i);return v;}template <typename T>auto generate_range_vector(T l, T r) {return generate_vector(r - l, [l](int i) { return l + i; });}template <typename T>auto generate_range_vector(T n) {return generate_range_vector(0, n);}template <typename T>void sort_unique_erase(std::vector<T> &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) {if (y >= x) return false;x = y;return true;}// x <- max(x, y). returns true iff `x` has chenged.template <typename T>inline bool chmax(T &x, const T &y) {if (y <= x) return false;x = y;return true;}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>#include <atcoder/convolution>using mint = atcoder::modint998244353;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;}#include <deque>#include <vector>#include <algorithm>#include <cassert>#include <iostream>namespace suisen {template <typename mint>class inv_mods {public:inv_mods() {}inv_mods(int n) { ensure(n); }const mint& operator[](int i) const {ensure(i);return invs[i];}static void ensure(int n) {int sz = invs.size();if (sz < 2) invs = {0, 1}, sz = 2;if (sz < n + 1) {invs.resize(n + 1);for (int i = sz; i <= n; ++i) invs[i] = mint(mod - mod / i) * invs[mod % i];}}private:static std::vector<mint> invs;static constexpr int mod = mint::mod();};template <typename mint>std::vector<mint> inv_mods<mint>::invs{};}namespace suisen {template <typename mint>using convolution_t = std::vector<mint> (*)(const std::vector<mint> &, const std::vector<mint> &);template <typename mint>class FPS : public std::vector<mint> {public:using std::vector<mint>::vector;FPS(const std::initializer_list<mint> l) : std::vector<mint>::vector(l) {}FPS(const std::vector<mint> &v) : std::vector<mint>::vector(v) {}FPS(std::vector<mint> &&v) : std::vector<mint>::vector(std::move(v)) {}static void set_multiplication(convolution_t<mint> multiplication) {FPS<mint>::mult = multiplication;}inline const mint operator[](int n) const noexcept { return n <= deg() ? unsafe_get(n) : 0; }inline mint& operator[](int n) noexcept { ensure_deg(n); return unsafe_get(n); }inline int size() const noexcept { return std::vector<mint>::size(); }inline int deg() const noexcept { return size() - 1; }inline int normalize() {while (this->size() and this->back() == 0) this->pop_back();return deg();}inline FPS& pre_inplace(int max_deg) noexcept {if (deg() > max_deg) this->resize(std::max(0, max_deg + 1));return *this;}inline FPS pre(int max_deg) const noexcept { return FPS(*this).pre_inplace(max_deg); }inline FPS operator+() const { return FPS(*this); }FPS operator-() const {FPS f(*this);for (auto &e : f) e = mint::mod() - e;return f;}inline FPS& operator++() { ++(*this)[0]; return *this; }inline FPS& operator--() { --(*this)[0]; return *this; }inline FPS& operator+=(const mint x) { (*this)[0] += x; return *this; }inline FPS& operator-=(const mint x) { (*this)[0] -= x; return *this; }FPS& operator+=(const FPS &g) {ensure_deg(g.deg());for (int i = 0; i <= g.deg(); ++i) unsafe_get(i) += g.unsafe_get(i);return *this;}FPS& operator-=(const FPS &g) {ensure_deg(g.deg());for (int i = 0; i <= g.deg(); ++i) unsafe_get(i) -= g.unsafe_get(i);return *this;}inline FPS& operator*=(const FPS &g) { return *this = FPS<mint>::mult(*this, g); }inline FPS& operator*=( FPS &&g) { return *this = FPS<mint>::mult(*this, g); }inline FPS& operator*=(const mint x) {for (auto &e : *this) e *= x;return *this;}FPS& operator/=(FPS &&g) {const int fd = normalize(), gd = g.normalize();assert(gd >= 0);if (fd < gd) { this->clear(); return *this; }if (gd == 0) return *this *= g.unsafe_get(0).inv();static constexpr int THRESHOLD_NAIVE_POLY_QUOTIENT = 256;if (gd <= THRESHOLD_NAIVE_POLY_QUOTIENT) {*this = std::move(naive_div_inplace(std::move(g), gd).first);return *this;}std::reverse(this->begin(), this->end()), std::reverse(g.begin(), g.end());const int k = fd - gd;*this *= g.inv_inplace(k), this->resize(k + 1);std::reverse(this->begin(), this->end());return *this;}FPS& operator%=(FPS &&g) {int fd = normalize(), gd = g.normalize();assert(gd >= 0);if (fd < gd) return *this;if (gd == 0) { this->clear(); return *this; }static constexpr int THRESHOLD_NAIVE_REMAINDER = 256;if (gd <= THRESHOLD_NAIVE_REMAINDER) return naive_div_inplace(std::move(g), gd).second;*this -= g * (*this / g);return pre_inplace(gd - 1);}inline FPS& operator/=(const FPS &g) { return *this /= FPS(g); }inline FPS& operator%=(const FPS &g) { return *this %= FPS(g); }FPS& operator<<=(const int shamt) {this->insert(this->begin(), shamt, 0);return *this;}FPS& operator>>=(const int shamt) {if (shamt > size()) this->clear();else this->erase(this->begin(), this->begin() + shamt);return *this;}inline FPS operator+(FPS &&g) const { return FPS(*this) += std::move(g); }inline FPS operator-(FPS &&g) const { return FPS(*this) -= std::move(g); }inline FPS operator*(FPS &&g) const { return FPS(*this) *= std::move(g); }inline FPS operator/(FPS &&g) const { return FPS(*this) /= std::move(g); }inline FPS operator%(FPS &&g) const { return FPS(*this) %= std::move(g); }inline FPS operator+(const FPS &g) const { return FPS(*this) += g; }inline FPS operator+(const mint x) const { return FPS(*this) += x; }inline FPS operator-(const FPS &g) const { return FPS(*this) -= g; }inline FPS operator-(const mint x) const { return FPS(*this) -= x; }inline FPS operator*(const FPS &g) const { return FPS(*this) *= g; }inline FPS operator*(const mint x) const { return FPS(*this) *= x; }inline FPS operator/(const FPS &g) const { return FPS(*this) /= g; }inline FPS operator%(const FPS &g) const { return FPS(*this) %= g; }inline friend FPS operator*(const mint x, const FPS &f) { return f * x; }inline friend FPS operator*(const mint x, FPS &&f) { return f *= x; }inline FPS operator<<(const int shamt) { return FPS(*this) <<= shamt; }inline FPS operator>>(const int shamt) { return FPS(*this) >>= shamt; }friend bool operator==(const FPS &f, const FPS &g) {int n = f.size(), m = g.size();if (n < m) return g == f;for (int i = 0; i < m; ++i) if (f.unsafe_get(i) != g.unsafe_get(i)) return false;for (int i = m; i < n; ++i) if (f.unsafe_get(i) != 0) return false;return true;}FPS& diff_inplace() {if (this->size() == 0) return *this;for (int i = 1; i <= deg(); ++i) unsafe_get(i - 1) = unsafe_get(i) * i;this->pop_back();return *this;}FPS& intg_inplace() {int d = deg();ensure_deg(d + 1);for (int i = d; i >= 0; --i) unsafe_get(i + 1) = unsafe_get(i) * invs[i + 1];unsafe_get(0) = 0;return *this;}FPS& inv_inplace(const int max_deg) {FPS res { unsafe_get(0).inv() };for (int k = 1; k <= max_deg; k *= 2) {FPS tmp(this->pre(k * 2) * (res * res));res *= 2, res -= tmp.pre_inplace(2 * k);}return *this = std::move(res), pre_inplace(max_deg);}FPS& log_inplace(const int max_deg) {FPS f_inv = inv(max_deg);diff_inplace(), *this *= f_inv, pre_inplace(max_deg - 1), intg_inplace();return *this;}FPS& exp_inplace(const int max_deg) {FPS res {1};for (int k = 1; k <= max_deg; k *= 2) res *= ++(pre(k * 2) - res.log(k * 2)), res.pre_inplace(k * 2);return *this = std::move(res), pre_inplace(max_deg);}FPS& pow_inplace(const long long k, const int max_deg) {int tlz = 0;while (tlz <= deg() and unsafe_get(tlz) == 0) ++tlz;if (tlz * k > max_deg) { this->clear(); return *this; }*this >>= tlz;mint base = (*this)[0];*this *= base.inv(), log_inplace(max_deg), *this *= k, exp_inplace(max_deg), *this *= base.pow(k);return *this <<= tlz * k, pre_inplace(max_deg);}inline FPS diff() const { return FPS(*this).diff_inplace(); }inline FPS intg() const { return FPS(*this).intg_inplace(); }inline FPS inv(const int max_deg) const { return FPS(*this).inv_inplace(max_deg); }inline FPS log(const int max_deg) const { return FPS(*this).log_inplace(max_deg); }inline FPS exp(const int max_deg) const { return FPS(*this).exp_inplace(max_deg); }inline FPS pow(const long long k, const int max_deg) const { return FPS(*this).pow_inplace(k, max_deg); }private:static inline inv_mods<mint> invs;static convolution_t<mint> mult;inline void ensure_deg(int d) { if (deg() < d) this->resize(d + 1, 0); }inline const mint& unsafe_get(int i) const { return std::vector<mint>::operator[](i); }inline mint& unsafe_get(int i) { return std::vector<mint>::operator[](i); }std::pair<FPS, FPS&> naive_div_inplace(FPS &&g, const int gd) {const int k = deg() - gd;mint head_inv = g.unsafe_get(gd).inv();FPS q(k + 1);for (int i = k; i >= 0; --i) {mint div = this->unsafe_get(i + gd) * head_inv;q.unsafe_get(i) = div;for (int j = 0; j <= gd; ++j) this->unsafe_get(i + j) -= div * g.unsafe_get(j);}return {q, pre_inplace(gd - 1)};}};template <typename mint>convolution_t<mint> FPS<mint>::mult = [](const auto &, const auto &) {std::cerr << "convolution function is not available." << std::endl;assert(false);return std::vector<mint>{};};} // namespace suisentemplate <typename mint>auto sqrt(suisen::FPS<mint> a) -> decltype(mint::mod(), suisen::FPS<mint>{}) {assert(false);}template <typename mint>auto log(suisen::FPS<mint> a) -> decltype(mint::mod(), suisen::FPS<mint>{}) {return a.log(a.deg());}template <typename mint>auto exp(suisen::FPS<mint> a) -> decltype(mint::mod(), mint()) {return a.exp(a.deg());}template <typename mint, typename T>auto pow(suisen::FPS<mint> a, T b) -> decltype(mint::mod(), mint()) {return a.pow(b, a.deg());}template <typename mint>auto inv(suisen::FPS<mint> a) -> decltype(mint::mod(), suisen::FPS<mint>{}) {return a.inv(a.deg());}namespace suisen {template <typename mint>std::vector<mint> multi_point_eval(const FPS<mint> &f, const std::vector<mint> &xs) {int m = xs.size();int k = 1;while (k < m) k <<= 1;std::vector<FPS<mint>> seg(2 * k);for (int i = 0; i < m; ++i) seg[k + i] = FPS<mint> {-xs[i], 1};for (int i = m; i < k; ++i) seg[k + i] = FPS<mint> {1};for (int i = k - 1; i> 0; --i) seg[i] = seg[i * 2] * seg[i * 2 + 1];seg[1] = f % seg[1];for (int i = 2; i < k + m; ++i) seg[i] = seg[i / 2] % seg[i];std::vector<mint> ys(m);for (int i = 0; i < m; ++i) ys[i] = seg[k + i][0];return ys;}} // namespace suisennamespace suisen {// O(N(logN)^2)// return the vector p of length xs.size() s.t. p[i]=Π[j!=i](x[i]-x[j])template <typename T>std::vector<T> product_of_differences(const std::vector<T> &xs) {// f(x):=Π_i(x-x[i])// => f'(x)=Σ_i Π[j!=i](x-x[j])// => f'(x[i])=Π[j!=i](x[i]-x[j])const int n = xs.size();std::deque<FPS<T>> dq;for (int i = 0; i < n; ++i) dq.push_back(FPS<T>{ -xs[i], T{1} });while (dq.size() >= 2) {auto f = std::move(dq.front());dq.pop_front();auto g = std::move(dq.front());dq.pop_front();dq.push_back(f * g);}auto f = std::move(dq.front());f.diff_inplace();return multi_point_eval(f, xs);}// O(N(logN)^2+NlogP)template <typename T>T lagrange_interpolation(const std::vector<T> &xs, const std::vector<T> &ys, const T t) {const int n = xs.size();assert(int(ys.size()) == n);T p{1};for (int i = 0; i < n; ++i) p *= t - xs[i];std::vector<T> w = product_of_differences(xs);T res{0};for (int i = 0; i < n; ++i) {res += t == xs[i] ? ys[i] : ys[i] * p / (w[i] * (t - xs[i]));}return res;}template <typename T>T lagrange_interpolation(const std::vector<T> &ys, const T t) {const int n = ys.size();T fac = 1;for (int i = 1; i < n; ++i) fac *= i;std::vector<T> fci(n), suf(n);fci[n - 1] = T(1) / fac;suf[n - 1] = 1;for (int i = n - 1; i > 0; --i) {fci[i - 1] = fci[i] * i;suf[i - 1] = suf[i] * (t - i);}T prf = 1, res = 0;for (int i = 0; i < n; ++i) {T val = ys[i] * prf * suf[i] * fci[i] * fci[n - i - 1];if ((n - 1 - i) & 1) {res -= val;} else {res += val;}prf *= t - i;}return res;}template <typename mint>FPS<mint> polynomial_interpolation(const std::vector<mint> &xs, const std::vector<mint> &ys) {assert(xs.size() == ys.size());int n = xs.size();int k = 1;while (k < n) k <<= 1;std::vector<FPS<mint>> seg(k << 1), g(k << 1);for (int i = 0; i < n; ++i) seg[k + i] = FPS<mint> {-xs[i], 1};for (int i = n; i < k; ++i) seg[k + i] = FPS<mint> {1};for (int i = k - 1; i > 0; --i) {seg[i] = seg[i * 2] * seg[i * 2 + 1];}g[1] = std::move(seg[1].diff_inplace());for (int i = 1; i < k; ++i) {int l = 2 * i, r = l + 1;g[l] = g[i] % seg[l], g[r] = g[i] % seg[r];}for (int i = 0; i < n; ++i) g[k + i] = FPS<mint> {ys[i] / g[k + i][0]};for (int i = n; i < k; ++i) g[k + i] = FPS<mint> {0};for (int i = k - 1; i > 0; --i) {int l = 2 * i, r = l + 1;g[i] = g[l] * seg[r] + g[r] * seg[l];}return g[1];}} // namespace suisenint main() {suisen::FPS<mint>::set_multiplication([](const auto &a, const auto &b) { return atcoder::convolution(a, b); });input(int, n);input(mint, x);vector<mint> xs(n), ys(n);rep(i, n) read(xs[i], ys[i]);vector<mint> p = product_of_differences(xs);mint s = 0;rep(i, n) s += ys[i] / p[i];mint prd = 1;rep(i, n) prd *= x - xs[i];mint ans = 0;rep(i, n) {mint num = x == xs[i] ? p[i] : prd / (x - xs[i]);ans += (n * ys[i] / p[i] - s) * num;}print(ans);return 0;}