cp-library-cpp
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test/algebra/dynamic_modint/4.test.cpp
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- Last update: 2021-10-28 01:58:02+09:00
- Problem: https://atcoder.jp/contests/abc186/tasks/abc186_e
Depends on
Code
#define PROBLEM "https://atcoder.jp/contests/abc186/tasks/abc186_e"
#include <iostream>
#include <numeric>
#include "../../../include/algebra/dynamic_modint.hpp"
int MOD;
int main() {
using mint = lib::dynamic_modint<decltype(MOD), &MOD>;
int T;
std::cin >> T;
while (T--) {
int N, S, K;
std::cin >> N >> S >> K;
int G = std::gcd(N, K);
if (K % N == 0 || (G != 1 && S % G != 0)) {
std::cout << -1 << '\n';
continue;
}
G = std::gcd(G, S);
MOD = N / G;
S /= G;
K /= G;
std::cout << mint(-S) / K << '\n';
}
}#line 1 "test/algebra/dynamic_modint/4.test.cpp"
#define PROBLEM "https://atcoder.jp/contests/abc186/tasks/abc186_e"
#include <iostream>
#include <numeric>
#line 1 "include/algebra/dynamic_modint.hpp"
//! @file dynamic_modint.hpp
#ifndef CP_LIBRARY_DYNAMIC_MODINT_HPP
#define CP_LIBRARY_DYNAMIC_MODINT_HPP
#include <cassert>
#include <cstdint>
#line 10 "include/algebra/dynamic_modint.hpp"
#include <limits>
#include <type_traits>
#define CP_LIBRARY_USE_CONSTEXPR
#ifndef CP_LIBRARY_WARN
# if (CP_LIBRARY_DEBUG_LEVEL >= 1)
//! @brief Print warning message
//! @note You can suppress the warning by uncommenting the following line
# define CP_LIBRARY_WARN(msg) (std::cerr << (msg) << '\n')
// # define CP_LIBRARY_WARN(msg) (static_cast<void>(0))
# else
# define CP_LIBRARY_WARN(msg) (static_cast<void>(0))
# undef CP_LIBRARY_USE_CONSTEXPR
# define CP_LIBRARY_USE_CONSTEXPR constexpr
# endif
# define CP_LIBRARY_WARN_NOT_DEFINED
#endif
#ifndef CP_LIBRARY_ASSERT
//! @brief Assert macro
# define CP_LIBRARY_ASSERT(...) assert(__VA_ARGS__)
# define CP_LIBRARY_ASSERT_NOT_DEFINED
#endif
namespace lib {
namespace internal::dynamic_modint_hpp {
template <typename Tp, std::enable_if_t<std::is_integral_v<Tp>, std::nullptr_t> = nullptr>
using LongInt = std::conditional_t<(64 <= std::numeric_limits<Tp>::digits), __int128_t, std::int_least64_t>;
}
//! @brief modint (for runtime constant modulo)
//! @tparam Tp underlying integer type (e.g. int)
//! @tparam modulo_ptr pointer to modulo variable
template <typename Tp, Tp* modulo_ptr>
struct dynamic_modint {
private:
Tp value;
//! @param n non-zero integer
//! @return multiplicative inverse of n
//! @note Time complexity: O(log(n))
template <typename Sp>
[[nodiscard]] static Tp calc_inverse(Sp n) {
CP_LIBRARY_ASSERT(n != 0);
Tp b = *modulo_ptr, u = 1, v = 0, t;
while (b > 0) {
t = n / b;
Tp tmp = (n -= t * b);
n = b;
b = tmp;
tmp = (u -= t * v);
u = v;
v = tmp;
}
if (u < 0)
u += *modulo_ptr;
return static_cast<Tp>(u);
}
//! @brief Calculate modulo and keep the value within [0, modulo)
//! @param v integer
//! @return integer within [0, *modulo_ptr)
//! @note Time complexity: O(1)
template <typename Sp>
static constexpr Tp clamp(Sp v) noexcept {
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wsign-compare"
if (*modulo_ptr <= v || v < -*modulo_ptr)
v %= *modulo_ptr;
#pragma GCC diagnostic pop
if (v < 0)
v += *modulo_ptr;
return static_cast<Tp>(v);
}
public:
//! @brief underlying integer type
using type = Tp;
//! @return reference to modulo (e.g. 1000000007)
[[nodiscard]] static type& mod() {
return *modulo_ptr;
}
//! @brief Create a modint of value 0
constexpr dynamic_modint() noexcept : value(0) {}
//! @brief Create a modint without taking modulo
constexpr dynamic_modint(const Tp v, bool) noexcept : value(v) {}
//! @brief Create a modint
template <typename ValueType>
constexpr dynamic_modint(const ValueType v) noexcept : value(clamp(v)) {}
[[nodiscard]] constexpr dynamic_modint operator+(const dynamic_modint rhs) const noexcept {
return dynamic_modint(value + rhs.value);
}
[[nodiscard]] constexpr dynamic_modint operator-(const dynamic_modint rhs) const noexcept {
return dynamic_modint(value - rhs.value);
}
[[nodiscard]] constexpr dynamic_modint operator*(const dynamic_modint rhs) const noexcept {
return dynamic_modint((internal::dynamic_modint_hpp::LongInt<Tp>) value * rhs.value);
}
[[nodiscard]] dynamic_modint operator/(const dynamic_modint rhs) const {
return dynamic_modint((internal::dynamic_modint_hpp::LongInt<Tp>) value * calc_inverse(rhs.value));
}
[[nodiscard]] CP_LIBRARY_USE_CONSTEXPR dynamic_modint operator%(const dynamic_modint rhs) const {
CP_LIBRARY_WARN("dynamic_modint::operator% : Are you sure you want to do this?");
return dynamic_modint(value % rhs.value, true);
}
[[nodiscard]] CP_LIBRARY_USE_CONSTEXPR dynamic_modint operator&(const dynamic_modint rhs) const {
CP_LIBRARY_WARN("dynamic_modint::operator& : Are you sure you want to do this?");
return dynamic_modint(value & rhs.value, true);
}
[[nodiscard]] CP_LIBRARY_USE_CONSTEXPR dynamic_modint operator|(const dynamic_modint rhs) const {
CP_LIBRARY_WARN("dynamic_modint::operator| : Are you sure you want to do this?");
return dynamic_modint(value | rhs.value);
}
[[nodiscard]] CP_LIBRARY_USE_CONSTEXPR dynamic_modint operator^(const dynamic_modint rhs) const {
CP_LIBRARY_WARN("dynamic_modint::operator^ : Are you sure you want to do this?");
return dynamic_modint(value ^ rhs.value);
}
[[nodiscard]] CP_LIBRARY_USE_CONSTEXPR dynamic_modint operator<<(const dynamic_modint rhs) const {
CP_LIBRARY_WARN("dynamic_modint::operator<< : Are you sure you want to do this?");
return dynamic_modint((internal::dynamic_modint_hpp::LongInt<Tp>) value << rhs.value);
}
[[nodiscard]] CP_LIBRARY_USE_CONSTEXPR dynamic_modint operator>>(const dynamic_modint rhs) const {
CP_LIBRARY_WARN("dynamic_modint::operator>> : Are you sure you want to do this?");
return dynamic_modint(value >> rhs.value, true);
}
constexpr dynamic_modint& operator+=(const dynamic_modint rhs) noexcept {
value += rhs.value;
if (value >= *modulo_ptr)
value -= *modulo_ptr;
return *this;
}
constexpr dynamic_modint& operator-=(const dynamic_modint rhs) noexcept {
value -= rhs.value;
if (value < 0)
value += *modulo_ptr;
return *this;
}
constexpr dynamic_modint& operator*=(const dynamic_modint rhs) noexcept {
value = clamp((internal::dynamic_modint_hpp::LongInt<Tp>) value * rhs.value);
return *this;
}
dynamic_modint& operator/=(const dynamic_modint rhs) {
value = clamp((internal::dynamic_modint_hpp::LongInt<Tp>) value * calc_inverse(rhs.value));
return *this;
}
CP_LIBRARY_USE_CONSTEXPR dynamic_modint& operator%=(const dynamic_modint rhs) {
CP_LIBRARY_WARN("dynamic_modint::operator%= : Are you sure you want to do this?");
value %= rhs.value;
if (value < 0)
value += *modulo_ptr;
return *this;
}
CP_LIBRARY_USE_CONSTEXPR dynamic_modint& operator&=(const dynamic_modint rhs) noexcept {
CP_LIBRARY_WARN("dynamic_modint::operator&= : Are you sure you want to do this?");
value &= rhs.value;
return *this;
}
CP_LIBRARY_USE_CONSTEXPR dynamic_modint& operator|=(const dynamic_modint rhs) noexcept {
CP_LIBRARY_WARN("dynamic_modint::operator|= : Are you sure you want to do this?");
value |= rhs.value;
clamp();
return *this;
}
CP_LIBRARY_USE_CONSTEXPR dynamic_modint& operator^=(const dynamic_modint rhs) noexcept {
CP_LIBRARY_WARN("dynamic_modint::operator^= : Are you sure you want to do this?");
value ^= rhs.value;
clamp();
return *this;
}
CP_LIBRARY_USE_CONSTEXPR dynamic_modint& operator<<=(const dynamic_modint rhs) noexcept {
CP_LIBRARY_WARN("operator<<= : Are you sure you want to do this?");
value = clamp((internal::dynamic_modint_hpp::LongInt<Tp>) value << rhs.value);
return *this;
}
CP_LIBRARY_USE_CONSTEXPR dynamic_modint& operator>>=(const dynamic_modint rhs) noexcept {
CP_LIBRARY_WARN("operator>>= : Are you sure you want to do this?");
value >>= rhs.value;
return *this;
}
template <typename RhsType>
[[nodiscard]] constexpr dynamic_modint operator+(const RhsType rhs) const noexcept {
return dynamic_modint(value + clamp(rhs));
}
template <typename RhsType>
[[nodiscard]] constexpr dynamic_modint operator-(const RhsType rhs) const noexcept {
return dynamic_modint(value - clamp(rhs));
}
template <typename RhsType>
[[nodiscard]] constexpr dynamic_modint operator*(const RhsType rhs) const noexcept {
return dynamic_modint((internal::dynamic_modint_hpp::LongInt<Tp>) value * clamp(rhs));
}
template <typename RhsType>
[[nodiscard]] dynamic_modint operator/(const RhsType rhs) const {
internal::dynamic_modint_hpp::LongInt<Tp> mul = (rhs > 0) ? calc_inverse(rhs) : -calc_inverse(-rhs);
return dynamic_modint(mul * value);
}
template <typename RhsType>
[[nodiscard]] CP_LIBRARY_USE_CONSTEXPR dynamic_modint operator%(const RhsType rhs) const {
CP_LIBRARY_WARN("dynamic_modint::operator% : Are you sure you want to do this?");
return dynamic_modint(value % rhs, true);
}
template <typename RhsType>
[[nodiscard]] CP_LIBRARY_USE_CONSTEXPR dynamic_modint operator&(const RhsType rhs) const {
CP_LIBRARY_WARN("dynamic_modint::operator& : Are you sure you want to do this?");
return dynamic_modint(value & rhs, true);
}
template <typename RhsType>
[[nodiscard]] CP_LIBRARY_USE_CONSTEXPR dynamic_modint operator|(const RhsType rhs) const {
CP_LIBRARY_WARN("dynamic_modint::operator| : Are you sure you want to do this?");
return dynamic_modint(value | rhs);
}
template <typename RhsType>
[[nodiscard]] CP_LIBRARY_USE_CONSTEXPR dynamic_modint operator^(const RhsType rhs) const {
CP_LIBRARY_WARN("dynamic_modint::operator^ : Are you sure you want to do this?");
return dynamic_modint(value ^ rhs);
}
template <typename RhsType>
[[nodiscard]] CP_LIBRARY_USE_CONSTEXPR dynamic_modint operator<<(const RhsType rhs) const {
CP_LIBRARY_WARN("dynamic_modint::operator<< : Are you sure you want to do this?");
return dynamic_modint((internal::dynamic_modint_hpp::LongInt<Tp>) value << rhs);
}
template <typename RhsType>
[[nodiscard]] CP_LIBRARY_USE_CONSTEXPR dynamic_modint operator>>(const RhsType rhs) const {
CP_LIBRARY_WARN("dynamic_modint::operator>> : Are you sure you want to do this?");
return dynamic_modint(value >> rhs, true);
}
template <typename RhsType>
constexpr dynamic_modint& operator+=(const RhsType rhs) noexcept {
value = clamp(value + clamp(rhs));
return *this;
}
template <typename RhsType>
constexpr dynamic_modint& operator-=(const RhsType rhs) noexcept {
value = clamp(value - clamp(rhs));
return *this;
}
template <typename RhsType>
constexpr dynamic_modint& operator*=(const RhsType rhs) noexcept {
value = clamp(value * clamp(rhs));
return *this;
}
template <typename RhsType>
dynamic_modint& operator/=(const RhsType rhs) {
internal::dynamic_modint_hpp::LongInt<Tp> mul = (rhs > 0) ? calc_inverse(rhs) : -calc_inverse(-rhs);
value = clamp(mul * value);
return *this;
}
template <typename RhsType>
CP_LIBRARY_USE_CONSTEXPR dynamic_modint& operator%=(const RhsType rhs) {
CP_LIBRARY_WARN("dynamic_modint::operator%= : Are you sure you want to do this?");
value %= rhs;
return *this;
}
template <typename RhsType>
CP_LIBRARY_USE_CONSTEXPR dynamic_modint& operator&=(const RhsType rhs) {
CP_LIBRARY_WARN("dynamic_modint::operator&= : Are you sure you want to do this?");
value &= rhs;
return *this;
}
template <typename RhsType>
CP_LIBRARY_USE_CONSTEXPR dynamic_modint& operator|=(const RhsType rhs) {
CP_LIBRARY_WARN("dynamic_modint::operator|= : Are you sure you want to do this?");
value |= rhs;
clamp();
return *this;
}
template <typename RhsType>
CP_LIBRARY_USE_CONSTEXPR dynamic_modint& operator^=(const RhsType rhs) {
CP_LIBRARY_WARN("dynamic_modint::operator^= : Are you sure you want to do this?");
value ^= rhs;
clamp();
return *this;
}
template <typename RhsType>
CP_LIBRARY_USE_CONSTEXPR dynamic_modint& operator<<=(const RhsType rhs) {
CP_LIBRARY_WARN("operator<<= : Are you sure you want to do this?");
value = clamp((internal::dynamic_modint_hpp::LongInt<Tp>) value << rhs);
return *this;
}
template <typename RhsType>
CP_LIBRARY_USE_CONSTEXPR dynamic_modint& operator>>=(const RhsType rhs) {
CP_LIBRARY_WARN("operator>>= : Are you sure you want to do this?");
value >>= rhs;
return *this;
}
[[nodiscard]] CP_LIBRARY_USE_CONSTEXPR bool operator!() const {
CP_LIBRARY_WARN("dynamic_modint::operator! : Are you sure you want to do this?");
return value == 0;
}
[[nodiscard]] CP_LIBRARY_USE_CONSTEXPR dynamic_modint operator~() const {
CP_LIBRARY_WARN("dynamic_modint::operator~ : Are you sure you want to do this?");
return dynamic_modint(~value);
}
[[nodiscard]] constexpr dynamic_modint operator-() const noexcept {
return dynamic_modint(value == 0 ? 0 : *modulo_ptr - value, true);
}
[[nodiscard]] constexpr dynamic_modint& operator+() const noexcept {
return *this;
}
constexpr dynamic_modint& operator++() noexcept {
value = ((value + 1 == *modulo_ptr) ? 0 : value + 1);
return *this;
}
constexpr dynamic_modint& operator--() noexcept {
value = ((value == 0) ? *modulo_ptr - 1 : value - 1);
return *this;
}
constexpr dynamic_modint operator++(int) noexcept {
Tp res = value;
++(*this);
return dynamic_modint(res, true);
}
constexpr dynamic_modint operator--(int) noexcept {
Tp res = value;
--(*this);
return dynamic_modint(res, true);
}
[[nodiscard]] constexpr bool operator==(const dynamic_modint rhs) const noexcept {
return value == rhs.value;
}
[[nodiscard]] constexpr bool operator!=(const dynamic_modint rhs) const noexcept {
return value != rhs.value;
}
[[nodiscard]] CP_LIBRARY_USE_CONSTEXPR bool operator<(const dynamic_modint rhs) const {
CP_LIBRARY_WARN("dynamic_modint::operator< : Are you sure you want to do this?");
return value < rhs.value;
}
[[nodiscard]] CP_LIBRARY_USE_CONSTEXPR bool operator<=(const dynamic_modint rhs) const {
CP_LIBRARY_WARN("dynamic_modint::operator<= : Are you sure you want to do this?");
return value <= rhs.value;
}
[[nodiscard]] CP_LIBRARY_USE_CONSTEXPR bool operator>(const dynamic_modint rhs) const {
CP_LIBRARY_WARN("dynamic_modint::operator> : Are you sure you want to do this?");
return value > rhs.value;
}
[[nodiscard]] CP_LIBRARY_USE_CONSTEXPR bool operator>=(const dynamic_modint rhs) const {
CP_LIBRARY_WARN("dynamic_modint::operator>= : Are you sure you want to do this?");
return value >= rhs.value;
}
template <typename RhsType>
[[nodiscard]] constexpr bool operator==(const RhsType rhs) const noexcept {
return value == rhs;
}
template <typename RhsType>
[[nodiscard]] constexpr bool operator!=(const RhsType rhs) const noexcept {
return value != rhs;
}
template <typename RhsType>
[[nodiscard]] CP_LIBRARY_USE_CONSTEXPR bool operator<(const RhsType rhs) const {
CP_LIBRARY_WARN("dynamic_modint::operator< : Are you sure you want to do this?");
return value < rhs;
}
template <typename RhsType>
[[nodiscard]] CP_LIBRARY_USE_CONSTEXPR bool operator<=(const RhsType rhs) const {
CP_LIBRARY_WARN("dynamic_modint::operator<= : Are you sure you want to do this?");
return value <= rhs;
}
template <typename RhsType>
[[nodiscard]] CP_LIBRARY_USE_CONSTEXPR bool operator>(const RhsType rhs) const {
CP_LIBRARY_WARN("dynamic_modint::operator> : Are you sure you want to do this?");
return value > rhs;
}
template <typename RhsType>
[[nodiscard]] CP_LIBRARY_USE_CONSTEXPR bool operator>=(const RhsType rhs) const {
CP_LIBRARY_WARN("dynamic_modint::operator>= : Are you sure you want to do this?");
return value >= rhs;
}
[[nodiscard]] constexpr operator Tp() const {
CP_LIBRARY_WARN("A value of type static_modint has been cast to a primitive integer type.");
return value;
}
//! @brief Read value (64-bit signed integer) from std::istream& is, take modulo, and store it in rhs.
//! @return std::istream& is
friend std::istream& operator>>(std::istream& is, dynamic_modint& rhs) {
std::conditional_t<std::is_integral_v<Tp>, long long, Tp> tmp;
is >> tmp;
if (tmp < -*modulo_ptr || *modulo_ptr <= tmp)
tmp %= *modulo_ptr;
if (tmp < 0)
tmp += *modulo_ptr;
rhs.value = Tp(tmp);
return is;
}
//! @brief Print value to std::ostream& os
//! @return std::ostream& os
friend std::ostream& operator<<(std::ostream& os, dynamic_modint& rhs) {
return os << rhs.value;
}
//! @return multiplicative inverse
[[nodiscard]] dynamic_modint inv() const {
return dynamic_modint(calc_inverse(value), true);
}
//! @tparam index_positive_guaranteed set true if and only if you can promise that index is positive
//! @tparam Tp integer type (deduced from parameter)
//! @param index index. This must be an integer, but doesn't have to be primitive.
//! @return index-th power of the value
//! @note Time complexity: O(log(index))
template <bool index_positive_guaranteed = true, typename T = int>
[[nodiscard]] dynamic_modint pow(T index) const {
if constexpr (!index_positive_guaranteed) {
if (value == 0)
return dynamic_modint(0, true);
if (index == 0)
return dynamic_modint(1, true);
if (index < 0)
return dynamic_modint(value, true).inv().pow<true>(-index);
}
dynamic_modint res(1, true), base(value, true);
while (index > 0) {
if (index & 1)
res *= base;
base *= base;
index >>= 1;
}
return res;
}
//! @return a pair (a, b) such that b > 0, value is equal to a * (mult inverse of b), and (a + b) is minimal
[[nodiscard]] constexpr std::pair<Tp, Tp> to_frac() const noexcept {
Tp x = (*modulo_ptr) - value, y = value, u = 1, v = 1;
std::pair<Tp, Tp> res {value, 1};
Tp num = value, den = 1;
Tp cost = num + den;
while (x > 0) {
if (x <= num) {
Tp q = num / x;
num = num % x;
den += q * u;
if (num == 0)
break;
if (num + den < cost) {
cost = num + den;
res.first = num;
res.second = den;
}
}
Tp q = y / x;
y = y % x;
v += q * u;
q = x / y;
x = x % y;
u += q * v;
}
return res;
}
};
template <typename LhsType, typename Tp, Tp* modulo_ptr>
[[nodiscard]] constexpr dynamic_modint<Tp, modulo_ptr> operator+(const LhsType lhs, const dynamic_modint<Tp, modulo_ptr> rhs) noexcept {
return rhs + lhs;
}
template <typename LhsType, typename Tp, Tp* modulo_ptr>
[[nodiscard]] constexpr dynamic_modint<Tp, modulo_ptr> operator-(const LhsType lhs, const dynamic_modint<Tp, modulo_ptr> rhs) noexcept {
return -rhs + lhs;
}
template <typename LhsType, typename Tp, Tp* modulo_ptr>
[[nodiscard]] constexpr dynamic_modint<Tp, modulo_ptr> operator*(const LhsType lhs, const dynamic_modint<Tp, modulo_ptr> rhs) noexcept {
return rhs * lhs;
}
template <typename LhsType, typename Tp, Tp* modulo_ptr>
[[nodiscard]] dynamic_modint<Tp, modulo_ptr> operator/(const LhsType lhs, const dynamic_modint<Tp, modulo_ptr> rhs) {
return rhs.inv() * lhs;
}
template <typename LhsType, typename Tp, Tp* modulo_ptr>
[[nodiscard]] CP_LIBRARY_USE_CONSTEXPR dynamic_modint<Tp, modulo_ptr>
operator%(const LhsType lhs, const dynamic_modint<Tp, modulo_ptr> rhs) {
CP_LIBRARY_WARN("dynamic_modint::operator% : Are you sure you want to do this?");
return dynamic_modint<Tp, modulo_ptr>(lhs % (Tp) rhs, true);
}
template <typename LhsType, typename Tp, Tp* modulo_ptr, std::enable_if_t<std::is_integral_v<LhsType>, std::nullptr_t> = nullptr>
[[nodiscard]] CP_LIBRARY_USE_CONSTEXPR dynamic_modint<Tp, modulo_ptr>
operator<<(const LhsType lhs, const dynamic_modint<Tp, modulo_ptr> rhs) {
CP_LIBRARY_WARN("dynamic_modint::operator<< : Are you sure you want to do this?");
return dynamic_modint<Tp, modulo_ptr>((internal::dynamic_modint_hpp::LongInt<Tp>) lhs << (Tp) rhs);
}
template <typename LhsType, typename Tp, Tp* modulo_ptr, std::enable_if_t<std::is_integral_v<LhsType>, std::nullptr_t> = nullptr>
[[nodiscard]] CP_LIBRARY_USE_CONSTEXPR dynamic_modint<Tp, modulo_ptr>
operator>>(const LhsType lhs, const dynamic_modint<Tp, modulo_ptr> rhs) {
CP_LIBRARY_WARN("dynamic_modint::operator>> : Are you sure you want to do this?");
return dynamic_modint<Tp, modulo_ptr>(lhs >> (Tp) rhs);
}
template <typename LhsType, typename Tp, Tp* modulo_ptr>
CP_LIBRARY_USE_CONSTEXPR LhsType& operator+=(LhsType& lhs, const dynamic_modint<Tp, modulo_ptr> rhs) {
return lhs += (Tp) rhs;
}
template <typename LhsType, typename Tp, Tp* modulo_ptr>
CP_LIBRARY_USE_CONSTEXPR LhsType& operator-=(LhsType& lhs, const dynamic_modint<Tp, modulo_ptr> rhs) {
return lhs -= (Tp) rhs;
}
template <typename LhsType, typename Tp, Tp* modulo_ptr>
CP_LIBRARY_USE_CONSTEXPR LhsType& operator*=(LhsType& lhs, const dynamic_modint<Tp, modulo_ptr> rhs) {
return lhs *= (Tp) rhs;
}
template <typename LhsType, typename Tp, Tp* modulo_ptr>
CP_LIBRARY_USE_CONSTEXPR LhsType& operator/=(LhsType& lhs, const dynamic_modint<Tp, modulo_ptr> rhs) {
return lhs /= (Tp) rhs;
}
template <typename LhsType, typename Tp, Tp* modulo_ptr>
CP_LIBRARY_USE_CONSTEXPR LhsType& operator%=(LhsType& lhs, const dynamic_modint<Tp, modulo_ptr> rhs) {
CP_LIBRARY_WARN("dynamic_modint::operator%= : Are you sure you want to do this?");
return lhs %= (Tp) rhs;
}
template <typename LhsType, typename Tp, Tp* modulo_ptr>
CP_LIBRARY_USE_CONSTEXPR LhsType& operator&=(LhsType& lhs, const dynamic_modint<Tp, modulo_ptr> rhs) {
CP_LIBRARY_WARN("dynamic_modint::operator&= : Are you sure you want to do this?");
return lhs &= (Tp) rhs;
}
template <typename LhsType, typename Tp, Tp* modulo_ptr>
CP_LIBRARY_USE_CONSTEXPR LhsType& operator|=(LhsType& lhs, const dynamic_modint<Tp, modulo_ptr> rhs) {
CP_LIBRARY_WARN("dynamic_modint::operator|= : Are you sure you want to do this?");
return lhs |= (Tp) rhs;
}
template <typename LhsType, typename Tp, Tp* modulo_ptr>
CP_LIBRARY_USE_CONSTEXPR LhsType& operator^=(LhsType& lhs, const dynamic_modint<Tp, modulo_ptr> rhs) {
CP_LIBRARY_WARN("dynamic_modint::operator^= : Are you sure you want to do this?");
return lhs ^= (Tp) rhs;
}
template <typename LhsType, typename Tp, Tp* modulo_ptr>
CP_LIBRARY_USE_CONSTEXPR LhsType& operator<<=(LhsType& lhs, const dynamic_modint<Tp, modulo_ptr> rhs) {
CP_LIBRARY_WARN("operator<<= : Are you sure you want to do this?");
return lhs <<= (Tp) rhs;
}
template <typename LhsType, typename Tp, Tp* modulo_ptr>
CP_LIBRARY_USE_CONSTEXPR LhsType& operator>>=(LhsType& lhs, const dynamic_modint<Tp, modulo_ptr> rhs) {
CP_LIBRARY_WARN("operator>>= : Are you sure you want to do this?");
return lhs >>= (Tp) rhs;
}
template <typename LhsType, typename Tp, Tp* modulo_ptr>
[[nodiscard]] CP_LIBRARY_USE_CONSTEXPR bool operator<(const LhsType lhs, const dynamic_modint<Tp, modulo_ptr> rhs) {
CP_LIBRARY_WARN("dynamic_modint::operator< : Are you sure you want to do this?");
return lhs < (Tp) rhs;
}
template <typename LhsType, typename Tp, Tp* modulo_ptr>
[[nodiscard]] CP_LIBRARY_USE_CONSTEXPR bool operator<=(const LhsType lhs, const dynamic_modint<Tp, modulo_ptr> rhs) {
CP_LIBRARY_WARN("dynamic_modint::operator<= : Are you sure you want to do this?");
return lhs < (Tp) rhs;
}
template <typename LhsType, typename Tp, Tp* modulo_ptr>
[[nodiscard]] CP_LIBRARY_USE_CONSTEXPR bool operator>(const LhsType lhs, const dynamic_modint<Tp, modulo_ptr> rhs) {
CP_LIBRARY_WARN("dynamic_modint::operator> : Are you sure you want to do this?");
return lhs < (Tp) rhs;
}
template <typename LhsType, typename Tp, Tp* modulo_ptr>
[[nodiscard]] CP_LIBRARY_USE_CONSTEXPR bool operator>=(const LhsType lhs, const dynamic_modint<Tp, modulo_ptr> rhs) {
CP_LIBRARY_WARN("dynamic_modint::operator>= : Are you sure you want to do this?");
return lhs < (Tp) rhs;
}
} // namespace lib
#undef CP_LIBRARY_USE_CONSTEXPR
#ifdef CP_LIBRARY_WARN_NOT_DEFINED
# undef CP_LIBRARY_WARN
# undef CP_LIBRARY_WARN_NOT_DEFINED
# ifdef CP_LIBRARY_WARN
# undef CP_LIBRARY_WARN
# endif
#endif
#ifdef CP_LIBRARY_ASSERT_NOT_DEFINED
# undef CP_LIBRARY_ASSERT
# undef CP_LIBRARY_ASSERT_NOT_DEFINED
#endif
#endif // CP_LIBRARY_DYNAMIC_MODINT_HPP
#line 6 "test/algebra/dynamic_modint/4.test.cpp"
int MOD;
int main() {
using mint = lib::dynamic_modint<decltype(MOD), &MOD>;
int T;
std::cin >> T;
while (T--) {
int N, S, K;
std::cin >> N >> S >> K;
int G = std::gcd(N, K);
if (K % N == 0 || (G != 1 && S % G != 0)) {
std::cout << -1 << '\n';
continue;
}
G = std::gcd(G, S);
MOD = N / G;
S /= G;
K /= G;
std::cout << mint(-S) / K << '\n';
}
}