結果
| 問題 |
No.8030 ミラー・ラビン素数判定法のテスト
|
| ユーザー |
 shiomusubi496
|
| 提出日時 | 2022-10-01 10:50:40 |
| 言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
WA
|
| 実行時間 | - |
| コード長 | 31,060 bytes |
| コンパイル時間 | 1,997 ms |
| コンパイル使用メモリ | 204,180 KB |
| 最終ジャッジ日時 | 2025-02-07 20:11:41 |
|
ジャッジサーバーID （参考情報） |
judge5 / judge5 |
（要ログイン）
| ファイルパターン | 結果 |
|---|---|
| other | AC * 3 WA * 7 |
ソースコード
#line 1 "library/test/yuki/3030-MillerRabin.test.cpp"
#define PROBLEM "https://yukicoder.me/problems/no/3030"
#line 2 "library/other/template.hpp"
#include <bits/stdc++.h>
#line 2 "library/template/macros.hpp"
#line 4 "library/template/macros.hpp"
#ifndef __COUNTER__
#define __COUNTER__ __LINE__
#endif
#define REP_SELECTER(a, b, c, d, e, ...) e
#define REP1_0(b, c) REP1_1(b, c)
#define REP1_1(b, c) \
for (ll REP_COUNTER_##c = 0; REP_COUNTER_##c < (ll)(b); ++REP_COUNTER_##c)
#define REP1(b) REP1_0(b, __COUNTER__)
#define REP2(i, b) for (ll i = 0; i < (ll)(b); ++i)
#define REP3(i, a, b) for (ll i = (ll)(a); i < (ll)(b); ++i)
#define REP4(i, a, b, c) for (ll i = (ll)(a); i < (ll)(b); i += (ll)(c))
#define rep(...) REP_SELECTER(__VA_ARGS__, REP4, REP3, REP2, REP1)(__VA_ARGS__)
#define RREP2(i, a) for (ll i = (ll)(a)-1; i >= 0; --i)
#define RREP3(i, a, b) for (ll i = (ll)(a)-1; i >= (ll)(b); --i)
#define RREP4(i, a, b, c) for (ll i = (ll)(a)-1; i >= (ll)(b); i -= (ll)(c))
#define rrep(...) REP_SELECTER(__VA_ARGS__, RREP4, RREP3, RREP2)(__VA_ARGS__)
#define REPS2(i, b) for (ll i = 1; i <= (ll)(b); ++i)
#define REPS3(i, a, b) for (ll i = (ll)(a) + 1; i <= (ll)(b); ++i)
#define REPS4(i, a, b, c) for (ll i = (ll)(a) + 1; i <= (ll)(b); i += (ll)(c))
#define reps(...) REP_SELECTER(__VA_ARGS__, REPS4, REPS3, REPS2)(__VA_ARGS__)
#define RREPS2(i, a) for (ll i = (ll)(a); i > 0; --i)
#define RREPS3(i, a, b) for (ll i = (ll)(a); i > (ll)(b); --i)
#define RREPS4(i, a, b, c) for (ll i = (ll)(a); i > (ll)(b); i -= (ll)(c))
#define rreps(...) \
REP_SELECTER(__VA_ARGS__, RREPS4, RREPS3, RREPS2)(__VA_ARGS__)
#define each_for(...) for (auto&& __VA_ARGS__)
#define each_const(...) for (const auto& __VA_ARGS__)
#define all(v) std::begin(v), std::end(v)
#if __cplusplus >= 201402L
#define rall(v) std::rbegin(v), std::rend(v)
#else
#define rall(v) v.begin(), v.end()
#endif
#if __cpp_constexpr >= 201304L
#define CONSTEXPR constexpr
#else
#define CONSTEXPR
#endif
#if __cpp_if_constexpr >= 201606L
#define IF_CONSTEXPR constexpr
#else
#define IF_CONSTEXPR
#endif
#define IO_BUFFER_SIZE 2048
#line 2 "library/template/alias.hpp"
#line 4 "library/template/alias.hpp"
using ll = long long;
using ull = unsigned long long;
using ld = long double;
using PLL = std::pair<ll, ll>;
template<class T>
using prique = std::priority_queue<T, std::vector<T>, std::greater<T>>;
template<class T> class infinity {
public:
static constexpr T value = std::numeric_limits<T>::max() / 2;
static constexpr T mvalue = std::numeric_limits<T>::min() / 2;
static constexpr T max = std::numeric_limits<T>::max();
static constexpr T min = std::numeric_limits<T>::min();
};
#if __cplusplus <= 201402L
template<class T> constexpr T infinity<T>::value;
template<class T> constexpr T infinity<T>::mvalue;
template<class T> constexpr T infinity<T>::max;
template<class T> constexpr T infinity<T>::min;
#endif
#if __cpp_variable_templates >= 201304L
template<class T> constexpr T INF = infinity<T>::value;
#endif
constexpr ll inf = infinity<ll>::value;
constexpr ld EPS = 1e-8;
constexpr ld PI = 3.1415926535897932384626;
#line 2 "library/template/type_traits.hpp"
#line 5 "library/template/type_traits.hpp"
template<class T, class... Args> struct function_traits_impl {
using result_type = T;
template<std::size_t idx>
using argument_type =
typename std::tuple_element<idx, std::tuple<Args...>>::type;
using argument_tuple = std::tuple<Args...>;
static constexpr std::size_t arg_size() { return sizeof...(Args); }
};
template<class> struct function_traits_helper;
template<class Res, class Tp, class... Args>
struct function_traits_helper<Res (Tp::*)(Args...)> {
using type = function_traits_impl<Res, Args...>;
};
template<class Res, class Tp, class... Args>
struct function_traits_helper<Res (Tp::*)(Args...)&> {
using type = function_traits_impl<Res, Args...>;
};
template<class Res, class Tp, class... Args>
struct function_traits_helper<Res (Tp::*)(Args...) const> {
using type = function_traits_impl<Res, Args...>;
};
template<class Res, class Tp, class... Args>
struct function_traits_helper<Res (Tp::*)(Args...) const&> {
using type = function_traits_impl<Res, Args...>;
};
#if __cpp_noexcept_function_type >= 201510L
template<class Res, class Tp, class... Args>
struct function_traits_helper<Res (Tp::*)(Args...) noexcept> {
using type = function_traits_impl<Res, Args...>;
};
template<class Res, class Tp, class... Args>
struct function_traits_helper<Res (Tp::*)(Args...)& noexcept> {
using type = function_traits_impl<Res, Args...>;
};
template<class Res, class Tp, class... Args>
struct function_traits_helper<Res (Tp::*)(Args...) const noexcept> {
using type = function_traits_impl<Res, Args...>;
};
template<class Res, class Tp, class... Args>
struct function_traits_helper<Res (Tp::*)(Args...) const& noexcept> {
using type = function_traits_impl<Res, Args...>;
};
#endif
template<class F>
using function_traits =
typename function_traits_helper<decltype(&F::operator())>::type;
template<class T, class = void> struct is_range : std::false_type {};
template<class T>
struct is_range<
T,
decltype(all(std::declval<typename std::add_lvalue_reference<T>::type>()),
(void)0)> : std::true_type {};
template<class T, bool = is_range<T>::value>
struct range_rank : std::integral_constant<std::size_t, 0> {};
template<class T>
struct range_rank<T, true>
: std::integral_constant<std::size_t,
range_rank<typename T::value_type>::value + 1> {};
#line 2 "library/template/in.hpp"
#line 6 "library/template/in.hpp"
#include <unistd.h>
template<std::size_t buf_size = IO_BUFFER_SIZE> class Reader {
private:
int fd, idx, sz;
bool state;
std::array<char, buf_size> buffer;
inline void read_buf() {
sz = read(fd, buffer.begin(), buf_size);
idx = 0;
if (sz < 0) throw std::runtime_error("input failed");
}
public:
static constexpr int get_buf_size() { return buf_size; }
Reader() noexcept : fd(0), idx(0), sz(0), state(true) {}
Reader(int fd) noexcept : fd(fd), idx(0), sz(0), state(true) {}
Reader(FILE* fp) noexcept : fd(fileno(fp)), idx(0), sz(0), state(true) {}
class iterator {
private:
Reader* reader;
public:
using difference_type = void;
using value_type = void;
using pointer = void;
using reference = void;
using iterator_category = std::input_iterator_tag;
iterator() : reader(nullptr) {}
explicit iterator(Reader& reader) : reader(&reader) {}
explicit iterator(Reader* reader) : reader(reader) {}
iterator& operator++() {
if (reader->idx == reader->sz) reader->read_buf();
++reader->idx;
return *this;
}
iterator operator++(int) {
iterator res = *this;
++(*this);
return res;
}
char operator*() const {
if (reader->idx == reader->sz) reader->read_buf();
if (reader->idx < reader->sz) return reader->buffer[reader->idx];
reader->state = false;
return '\0';
}
bool rdstate() const { return reader->state; }
};
iterator begin() noexcept { return iterator(this); }
};
Reader<> reader(0);
template<class Iterator, std::size_t decimal_precision = 16> class Scanner {
public:
using iterator_type = Iterator;
private:
template<class, class = void> struct has_scan : std::false_type {};
template<class T>
struct has_scan<
T, decltype(std::declval<T>().scan(std::declval<Scanner&>()), (void)0)>
: std::true_type {};
Iterator itr;
public:
Scanner() = default;
Scanner(const Iterator& itr) : itr(itr) {}
inline void discard_space() {
while (('\t' <= *itr && *itr <= '\r') || *itr == ' ') ++itr;
}
void scan(char& a) {
discard_space();
a = *itr;
++itr;
}
void scan(bool& a) {
discard_space();
a = *itr != '0';
++itr;
}
void scan(std::string& a) {
discard_space();
a.clear();
while ((*itr < '\t' || '\r' < *itr) && *itr != ' ' && *itr != '\0') {
a += *itr;
++itr;
}
}
template<std::size_t len> void scan(std::bitset<len>& a) {
discard_space();
rrep (i, len) {
a[i] = *itr != '0';
++itr;
}
}
template<class T,
typename std::enable_if<std::is_integral<T>::value &&
!has_scan<T>::value>::type* = nullptr>
void scan(T& a) {
discard_space();
bool sgn = false;
if IF_CONSTEXPR (std::is_signed<T>::value) {
if (*itr == '-') {
sgn = true;
++itr;
}
}
a = 0;
while ('0' <= *itr && *itr <= '9') {
a = a * 10 + *itr - '0';
++itr;
}
if IF_CONSTEXPR (std::is_signed<T>::value) {
if (sgn) a = -a;
}
}
template<class T,
typename std::enable_if<std::is_floating_point<T>::value &&
!has_scan<T>::value>::type* = nullptr>
void scan(T& a) {
discard_space();
bool sgn = false;
if (*itr == '-') {
sgn = true;
++itr;
}
a = 0;
while ('0' <= *itr && *itr <= '9') {
a = a * 10 + *itr - '0';
++itr;
}
if (*itr == '.') {
++itr;
T n = 0, d = 1;
for (int i = 0;
'0' <= *itr && *itr <= '9' && i < (int)decimal_precision;
++i) {
n = n * 10 + *itr - '0';
d *= 10;
++itr;
}
while ('0' <= *itr && *itr <= '9') ++itr;
a += n / d;
}
if (sgn) a = -a;
}
private:
template<std::size_t i, class... Args> void scan(std::tuple<Args...>& a) {
if IF_CONSTEXPR (i < sizeof...(Args)) {
scan(std::get<i>(a));
scan<i + 1, Args...>(a);
}
}
public:
template<class... Args> void scan(std::tuple<Args...>& a) {
scan<0, Args...>(a);
}
template<class T, class U> void scan(std::pair<T, U>& a) {
scan(a.first);
scan(a.second);
}
template<class T,
typename std::enable_if<is_range<T>::value &&
!has_scan<T>::value>::type* = nullptr>
void scan(T& a) {
each_for (i : a) scan(i);
}
template<class T,
typename std::enable_if<has_scan<T>::value>::type* = nullptr>
void scan(T& a) {
a.scan(*this);
}
void operator()() {}
template<class Head, class... Args>
void operator()(Head& head, Args&... args) {
scan(head);
operator()(args...);
}
template<class T> Scanner& operator>>(T& a) {
scan(a);
return *this;
}
explicit operator bool() const { return itr.rdstate(); }
};
Scanner<Reader<>::iterator> scan(reader.begin());
#line 2 "library/template/out.hpp"
#line 7 "library/template/out.hpp"
template<std::size_t buf_size = IO_BUFFER_SIZE> class Writer {
private:
int fd, idx;
std::array<char, buf_size> buffer;
inline void write_buf() {
int num = write(fd, buffer.begin(), idx);
idx = 0;
if (num < 0) throw std::runtime_error("output failed");
}
public:
Writer() noexcept : fd(1), idx(0) {}
Writer(int fd) noexcept : fd(fd), idx(0) {}
Writer(FILE* fp) noexcept : fd(fileno(fp)), idx(0) {}
~Writer() { write_buf(); }
class iterator {
private:
Writer* writer;
public:
using difference_type = void;
using value_type = void;
using pointer = void;
using reference = void;
using iterator_category = std::output_iterator_tag;
iterator() noexcept : writer(nullptr) {}
explicit iterator(Writer& writer) noexcept : writer(&writer) {}
explicit iterator(Writer* writer) noexcept : writer(writer) {}
iterator& operator++() {
++writer->idx;
if (writer->idx == buf_size) writer->write_buf();
return *this;
}
iterator operator++(int) {
iterator res = *this;
++(*this);
return res;
}
char& operator*() const { return writer->buffer[writer->idx]; }
void flush() const { writer->write_buf(); }
};
iterator begin() noexcept { return iterator(this); }
};
Writer<> writer(1), ewriter(2);
template<class Iterator, bool debug = false> class Printer {
public:
using iterator_type = Iterator;
private:
template<class, bool = debug, class = void>
struct has_print : std::false_type {};
template<class T>
struct has_print<T, false,
decltype(std::declval<T>().print(std::declval<Printer&>()),
(void)0)> : std::true_type {};
template<class T>
struct has_print<T, true,
decltype(std::declval<T>().debug(std::declval<Printer&>()),
(void)0)> : std::true_type {};
Iterator itr;
std::size_t decimal_precision;
public:
void print_char(char c) {
*itr = c;
++itr;
}
void flush() { itr.flush(); }
Printer() noexcept = default;
explicit Printer(const Iterator& itr) noexcept
: itr(itr), decimal_precision(16) {}
void set_decimal_precision(std::size_t decimal_precision) {
this->decimal_precision = decimal_precision;
}
void print(char c) {
if IF_CONSTEXPR (debug) print_char('\'');
print_char(c);
if IF_CONSTEXPR (debug) print_char('\'');
}
void print(bool b) { print_char((char)(b + '0')); }
void print(const char* a) {
if IF_CONSTEXPR (debug) print_char('"');
for (; *a != '\0'; ++a) print_char(*a);
if IF_CONSTEXPR (debug) print_char('"');
}
template<std::size_t len> void print(const char (&a)[len]) {
if IF_CONSTEXPR (debug) print_char('"');
for (auto i : a) print_char(i);
if IF_CONSTEXPR (debug) print_char('"');
}
void print(const std::string& a) {
if IF_CONSTEXPR (debug) print_char('"');
for (auto i : a) print_char(i);
if IF_CONSTEXPR (debug) print_char('"');
}
template<std::size_t len> void print(const std::bitset<len>& a) {
rrep (i, len) print_char((char)(a[i] + '0'));
}
template<class T,
typename std::enable_if<std::is_integral<T>::value &&
!has_print<T>::value>::type* = nullptr>
void print(T a) {
if (!a) {
print_char('0');
return;
}
if IF_CONSTEXPR (std::is_signed<T>::value) {
if (a < 0) {
print_char('-');
a = -a;
}
}
std::string s;
while (a) {
s += (char)(a % 10 + '0');
a /= 10;
}
for (auto i = s.rbegin(); i != s.rend(); ++i) print_char(*i);
}
template<class T,
typename std::enable_if<std::is_floating_point<T>::value &&
!has_print<T>::value>::type* = nullptr>
void print(T a) {
if (a == std::numeric_limits<T>::infinity()) {
print("inf");
return;
}
if (a == -std::numeric_limits<T>::infinity()) {
print("-inf");
return;
}
if (std::isnan(a)) {
print("nan");
return;
}
if (a < 0) {
print_char('-');
a = -a;
}
T b = a;
if (b < 1) {
print_char('0');
}
else {
std::string s;
while (b >= 1) {
s += (char)('0' + (int)std::fmod(b, 10.0));
b /= 10;
}
for (auto i = s.rbegin(); i != s.rend(); ++i) print_char(*i);
}
print_char('.');
rep (decimal_precision) {
a *= 10;
print_char((char)('0' + (int)std::fmod(a, 10.0)));
}
}
private:
template<std::size_t i, class... Args>
void print(const std::tuple<Args...>& a) {
if IF_CONSTEXPR (i < sizeof...(Args)) {
if IF_CONSTEXPR (debug) print_char(',');
print_char(' ');
print(std::get<i>(a));
print<i + 1, Args...>(a);
}
}
public:
template<class... Args> void print(const std::tuple<Args...>& a) {
if IF_CONSTEXPR (debug) print_char('(');
if IF_CONSTEXPR (sizeof...(Args) != 0) print(std::get<0>(a));
print<1, Args...>(a);
if IF_CONSTEXPR (debug) print_char(')');
}
template<class T, class U> void print(const std::pair<T, U>& a) {
if IF_CONSTEXPR (debug) print_char('(');
print(a.first);
if IF_CONSTEXPR (debug) print_char(',');
print_char(' ');
print(a.second);
if IF_CONSTEXPR (debug) print_char(')');
}
template<class T,
typename std::enable_if<is_range<T>::value &&
!has_print<T>::value>::type* = nullptr>
void print(const T& a) {
if IF_CONSTEXPR (debug) print_char('{');
for (auto i = a.begin(); i != a.end(); ++i) {
if (i != a.begin()) {
if IF_CONSTEXPR (debug) print_char(',');
print_char(' ');
}
print(*i);
}
if IF_CONSTEXPR (debug) print_char('}');
}
template<class T, typename std::enable_if<has_print<T>::value &&
!debug>::type* = nullptr>
void print(const T& a) {
a.print(*this);
}
template<class T, typename std::enable_if<has_print<T>::value &&
debug>::type* = nullptr>
void print(const T& a) {
a.debug(*this);
}
void operator()() {}
template<class Head, class... Args>
void operator()(const Head& head, const Args&... args) {
print(head);
operator()(args...);
}
template<class T> Printer& operator<<(const T& a) {
print(a);
return *this;
}
Printer& operator<<(Printer& (*pf)(Printer&)) { return pf(*this); }
};
template<class Iterator, bool debug>
Printer<Iterator, debug>& endl(Printer<Iterator, debug>& pr) {
pr.print_char('\n');
pr.flush();
return pr;
}
template<class Iterator, bool debug>
Printer<Iterator, debug>& flush(Printer<Iterator, debug>& pr) {
pr.flush();
return pr;
}
struct SetPrec {
int n;
template<class Pr> void print(Pr& pr) const { pr.set_decimal_precision(n); }
template<class Pr> void debug(Pr& pr) const { pr.set_decimal_precision(n); }
};
SetPrec setprec(int n) { return SetPrec{n}; };
Printer<Writer<>::iterator> print(writer.begin()), eprint(writer.begin());
void prints(const std::string& s) {
print << s;
print.print_char('\n');
}
#ifdef SHIO_LOCAL
Printer<Writer<>::iterator, true> debug(writer.begin()),
edebug(ewriter.begin());
#else
char debug_iterator_character;
class DebugIterator {
public:
DebugIterator() noexcept = default;
DebugIterator& operator++() { return *this; }
DebugIterator& operator++(int) { return *this; }
char& operator*() const { return debug_iterator_character; }
void flush() const {}
};
Printer<DebugIterator> debug, edebug;
#endif
#line 2 "library/template/bitop.hpp"
#line 5 "library/template/bitop.hpp"
namespace bitop {
#define KTH_BIT(b, k) (((b) >> (k)) & 1)
#define POW2(k) (1ull << (k))
inline ull next_combination(int n, ull x) {
if (n == 0) return 1;
ull a = x & -x;
ull b = x + a;
return (x & ~b) / a >> 1 | b;
}
#define rep_comb(i, n, k) \
for (ull i = (1ull << (k)) - 1; i < (1ull << (n)); \
i = bitop::next_combination((n), i))
inline CONSTEXPR int msb(ull x) {
int res = x ? 0 : -1;
if (x & 0xFFFFFFFF00000000) x &= 0xFFFFFFFF00000000, res += 32;
if (x & 0xFFFF0000FFFF0000) x &= 0xFFFF0000FFFF0000, res += 16;
if (x & 0xFF00FF00FF00FF00) x &= 0xFF00FF00FF00FF00, res += 8;
if (x & 0xF0F0F0F0F0F0F0F0) x &= 0xF0F0F0F0F0F0F0F0, res += 4;
if (x & 0xCCCCCCCCCCCCCCCC) x &= 0xCCCCCCCCCCCCCCCC, res += 2;
return res + ((x & 0xAAAAAAAAAAAAAAAA) ? 1 : 0);
}
inline CONSTEXPR int ceil_log2(ull x) { return x ? msb(x - 1) + 1 : 0; }
} // namespace bitop
inline CONSTEXPR int popcnt(ull x) noexcept {
#if __cplusplus >= 202002L
return std::popcount(x);
#endif
x = (x & 0x5555555555555555) + ((x >> 1) & 0x5555555555555555);
x = (x & 0x3333333333333333) + ((x >> 2) & 0x3333333333333333);
x = (x & 0x0f0f0f0f0f0f0f0f) + ((x >> 4) & 0x0f0f0f0f0f0f0f0f);
x = (x & 0x00ff00ff00ff00ff) + ((x >> 8) & 0x00ff00ff00ff00ff);
x = (x & 0x0000ffff0000ffff) + ((x >> 16) & 0x0000ffff0000ffff);
return (x & 0x00000000ffffffff) + ((x >> 32) & 0x00000000ffffffff);
}
#line 10 "library/other/template.hpp"
template<class T, class U>
std::ostream& operator<<(std::ostream& ost, const std::pair<T, U>& p) {
return ost << p.first << ' ' << p.second;
}
template<class T, class U>
std::istream& operator>>(std::istream& ist, std::pair<T, U>& p) {
return ist >> p.first >> p.second;
}
template<class Container, typename std::enable_if<!std::is_same<
Container, std::string>::value>::type* = nullptr>
auto operator<<(std::ostream& ost, const Container& cont)
-> decltype(cont.begin(), cont.end(), ost) {
for (auto itr = cont.begin(); itr != cont.end(); ++itr) {
if (itr != cont.begin()) ost << ' ';
ost << *itr;
}
return ost;
}
template<class Container, typename std::enable_if<!std::is_same<
Container, std::string>::value>::type* = nullptr>
auto operator>>(std::istream& ist, Container& cont)
-> decltype(cont.begin(), cont.end(), ist) {
for (auto itr = cont.begin(); itr != cont.end(); ++itr) ist >> *itr;
return ist;
}
template<class T, class U>
inline constexpr bool chmin(T& a, const U& b) noexcept {
return a > b ? a = b, true : false;
}
template<class T, class U>
inline constexpr bool chmax(T& a, const U& b) noexcept {
return a < b ? a = b, true : false;
}
template<class T, class U, class Comp>
inline constexpr bool chmin(T& a, const U& b, Comp cmp) noexcept {
return cmp(b, a) ? a = b, true : false;
}
template<class T, class U, class Comp>
inline constexpr bool chmax(T& a, const U& b, Comp cmp) noexcept {
return cmp(a, b) ? a = b, true : false;
}
inline CONSTEXPR ll gcd(ll a, ll b) noexcept {
while (b) {
const ll c = a;
a = b;
b = c % b;
}
return a;
}
inline CONSTEXPR ll lcm(ll a, ll b) noexcept { return a / gcd(a, b) * b; }
inline CONSTEXPR bool is_prime(ll N) noexcept {
if (N <= 1) return false;
for (ll i = 2; i * i <= N; ++i) {
if (N % i == 0) return false;
}
return true;
}
inline std::vector<ll> prime_factor(ll N) {
std::vector<ll> res;
for (ll i = 2; i * i <= N; ++i) {
while (N % i == 0) {
res.push_back(i);
N /= i;
}
}
if (N != 1) res.push_back(N);
return res;
}
inline CONSTEXPR ll my_pow(ll a, ll b) noexcept {
ll res = 1;
while (b) {
if (b & 1) res *= a;
b >>= 1;
a *= a;
}
return res;
}
inline CONSTEXPR ll mod_pow(ll a, ll b, ll mod) {
assert(mod > 0);
if (mod == 1) return 0;
a %= mod;
ll res = 1;
while (b) {
if (b & 1) (res *= a) %= mod;
b >>= 1;
(a *= a) %= mod;
}
return res;
}
inline PLL extGCD(ll a, ll b) noexcept {
const ll n = a, m = b;
ll x = 1, y = 0, u = 0, v = 1;
ll t;
while (b) {
t = a / b;
std::swap(a -= t * b, b);
std::swap(x -= t * u, u);
std::swap(y -= t * v, v);
}
if (x < 0) {
x += m;
y -= n;
}
return {x, y};
}
inline ll mod_inv(ll a, ll mod) {
ll b = mod;
ll x = 1, u = 0;
ll t;
while (b) {
t = a / b;
std::swap(a -= t * b, b);
std::swap(x -= t * u, u);
}
if (x < 0) x += mod;
assert(a == 1);
return x;
}
inline PLL ChineseRemainder(ll b1, ll m1, ll b2, ll m2) {
const PLL p = extGCD(m1, m2);
const ll g = p.first * m1 + p.second * m2;
const ll l = m1 / g * m2;
if ((b2 - b1) % g != 0) return PLL{-1, -1};
const ll x = (b2 - b1) / g * p.first % (m2 / g);
return {(x * m1 + b1 + l) % l, l};
}
PLL ChineseRemainders(const std::vector<ll>& b, const std::vector<ll>& m) {
PLL res{0, 1};
rep (i, b.size()) {
res = ChineseRemainder(res.first, res.second, b[i], m[i]);
if (res.first == -1) return res;
}
return res;
}
template<class F> class RecLambda {
private:
F f;
public:
explicit constexpr RecLambda(F&& f_) : f(std::forward<F>(f_)) {}
template<class... Args>
constexpr auto operator()(Args&&... args) const
-> decltype(f(*this, std::forward<Args>(args)...)) {
return f(*this, std::forward<Args>(args)...);
}
};
template<class F> inline constexpr RecLambda<F> rec_lambda(F&& f) {
return RecLambda<F>(std::forward<F>(f));
}
template<class Head, class... Tail> struct multi_dim_vector {
using type = std::vector<typename multi_dim_vector<Tail...>::type>;
};
template<class T> struct multi_dim_vector<T> { using type = T; };
template<class T, class Arg>
constexpr std::vector<T> make_vec(int n, Arg&& arg) {
return std::vector<T>(n, std::forward<Arg>(arg));
}
template<class T, class... Args>
constexpr typename multi_dim_vector<Args..., T>::type make_vec(int n,
Args&&... args) {
return typename multi_dim_vector<Args..., T>::type(
n, make_vec<T>(std::forward<Args>(args)...));
}
template<class T, class Comp = std::less<T>> class presser {
private:
std::vector<T> dat;
Comp cmp;
bool sorted = false;
public:
presser() : presser(Comp()) {}
presser(const Comp& cmp) : cmp(cmp) {}
presser(const std::vector<T>& vec, const Comp& cmp = Comp())
: dat(vec), cmp(cmp) {}
presser(std::vector<T>&& vec, const Comp& cmp = Comp())
: dat(std::move(vec)), cmp(cmp) {}
presser(std::initializer_list<T> il, const Comp& cmp = Comp())
: dat(il.begin(), il.end()), cmp(cmp) {}
void reserve(int n) {
assert(!sorted);
dat.reserve(n);
}
void push_back(const T& v) {
assert(!sorted);
dat.push_back(v);
}
void push_back(T&& v) {
assert(!sorted);
dat.push_back(std::move(v));
}
template<class... Args> void emplace_back(Args&&... args) {
assert(!sorted);
dat.emplace_back(std::forward<Args>(args)...);
}
void push(const std::vector<T>& vec) {
assert(!sorted);
const int n = dat.size();
dat.resize(n + vec.size());
rep (i, vec.size()) dat[n + i] = vec[i];
}
int build() {
assert(!sorted);
sorted = true;
std::sort(all(dat), cmp);
dat.erase(std::unique(all(dat),
[&](const T& a, const T& b) -> bool {
return !cmp(a, b) && !cmp(b, a);
}),
dat.end());
return dat.size();
}
const T& operator[](int k) const& {
assert(sorted);
assert(0 <= k && k < (int)dat.size());
return dat[k];
}
T operator[](int k) && {
assert(sorted);
assert(0 <= k && k < (int)dat.size());
return std::move(dat[k]);
}
int get(const T& val) const {
assert(sorted);
auto itr = std::lower_bound(all(dat), val, cmp);
assert(itr != dat.end() && !cmp(val, *itr));
return itr - dat.begin();
}
int lower_bound(const T& val) const {
assert(sorted);
auto itr = std::lower_bound(all(dat), val, cmp);
return itr - dat.begin();
}
int upper_bound(const T& val) const {
assert(sorted);
auto itr = std::upper_bound(all(dat), val, cmp);
return itr - dat.begin();
}
bool contains(const T& val) const {
assert(sorted);
return std::binary_search(all(dat), val, cmp);
}
std::vector<int> pressed(const std::vector<T>& vec) const {
assert(sorted);
std::vector<int> res(vec.size());
rep (i, vec.size()) res[i] = get(vec[i]);
return res;
}
void press(std::vector<T>& vec) const {
static_assert(std::is_integral<T>::value,
"template argument must be convertible from int type");
assert(sorted);
each_for (i : vec) i = get(i);
}
int size() const {
assert(sorted);
return dat.size();
}
const std::vector<T>& data() const& { return dat; }
std::vector<T> data() && { return std::move(dat); }
};
#line 2 "library/math/MillerRabin.hpp"
#line 4 "library/math/MillerRabin.hpp"
constexpr unsigned int base_miller_rabin_int[3] = {2, 7, 61};
constexpr ull base_miller_rabin_ll[7] = {2, 325, 9375, 28178, 450775, 9780504, 1795265022};
CONSTEXPR bool miller_rabin_ull(ull n) {
if ((n & 1) == 0) return n == 2;
if (n < 2) return false;
ull d = n - 1;
d /= d & -d;
for (ull a : base_miller_rabin_ll) {
if (a >= n) return true;
ull t = d;
ull y = mod_pow(a, t, n);
if (y == 1) continue;
while (y != n - 1) {
y = y * y % n;
t <<= 1;
if (y == 1 || t == n - 1) return false;
}
}
return true;
}
CONSTEXPR bool miller_rabin_int(unsigned int n) {
if ((n & 1) == 0) return n == 2;
if (n < 2) return false;
unsigned int d = n - 1;
d /= d & -d;
for (unsigned int a : base_miller_rabin_int) {
if (a >= n) return true;
unsigned int t = d;
unsigned int y = mod_pow(a, t, n);
if (y == 1) continue;
while (y != n - 1) {
y = y * y % n;
t <<= 1;
if (y == 1 || t == n - 1) return false;
}
}
return true;
}
#if __cpp_variable_templates >= 201304L && __cpp_constexpr >= 201304L
template<ull n> constexpr bool is_prime_mr = miller_rabin_ull(n);
#endif
/**
* @brief MillerRabin(素数判定)
* @docs docs/math/MillerRabin.md
*/
#line 4 "library/test/yuki/3030-MillerRabin.test.cpp"
using namespace std;
int main() {
int n; scan >> n;
rep (n) {
ull a; scan >> a;
print << a << " " << miller_rabin_ull(a) << endl;
}
}