結果

問題 No.984 Inversion
ユーザー jell
提出日時 2020-02-12 09:04:56
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 34 ms / 2,000 ms
コード長 11,992 bytes
コンパイル時間 1,588 ms
コンパイル使用メモリ 157,560 KB
最終ジャッジ日時 2025-01-08 23:46:03
ジャッジサーバーID
(参考情報)
judge5 / judge2
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 2
other AC * 24
権限があれば一括ダウンロードができます

ソースコード

diff #
プレゼンテーションモードにする

/* preprocessor start */
#ifdef LOCAL
//*
#define _GLIBCXX_DEBUG // gcc
/*/
#define _LIBCPP_DEBUG 0 // clang
//*/
#define __clock__
// #define __buffer_check__
#else
#pragma GCC optimize("Ofast")
/*
#define _GLIBCXX_DEBUG // gcc
/*/
// #define _LIBCPP_DEBUG 0 // clang
//*/
// #define __buffer_check__
// #define NDEBUG
#endif
#define __precision__ 10
#define iostream_untie true
#include <algorithm>
#include <bitset>
#include <cassert>
#include <chrono>
#include <complex>
#include <functional>
#include <iomanip>
#include <iostream>
#include <map>
#include <queue>
#include <random>
#include <set>
#include <unordered_map>
#include <unordered_set>
#include <valarray>
#define __all(v) std::begin(v), std::end(v)
#define __rall(v) std::rbegin(v), std::rend(v)
#define __popcount(n) __builtin_popcountll(n)
#define __clz32(n) __builtin_clz(n)
#define __clz64(n) __builtin_clzll(n)
#define __ctz32(n) __builtin_ctz(n)
#define __ctz64(n) __builtin_ctzll(n)
/* preprocessor end */
namespace std
{
// hash
template <class T> size_t hash_combine(size_t seed, T const &key) { return seed ^ (hash<T>()(key) + 0x9e3779b9 + (seed << 6) + (seed >> 2)); }
template <class T, class U> struct hash<pair<T, U>> { size_t operator()(pair<T, U> const &pr) const { return hash_combine(hash_combine(0, pr
        .first), pr.second); } };
template <class tuple_t, size_t index = tuple_size<tuple_t>::value - 1> struct tuple_hash_calc { static size_t apply(size_t seed, tuple_t const
        &t) { return hash_combine(tuple_hash_calc<tuple_t, index - 1>::apply(seed, t), get<index>(t)); } };
template <class tuple_t> struct tuple_hash_calc<tuple_t, 0> { static size_t apply(size_t seed, tuple_t const &t) { return hash_combine(seed, get
        <0>(t)); } };
template <class... T> struct hash<tuple<T...>> { size_t operator()(tuple<T...> const &t) const { return tuple_hash_calc<tuple<T...>>::apply(0, t
        ); } };
// iostream
template <class T, class U> istream &operator>>(istream &is, pair<T, U> &p) { return is >> p.first >> p.second; }
template <class T, class U> ostream &operator<<(ostream &os, const pair<T, U> &p) { return os << p.first << ' ' << p.second; }
template <class tuple_t, size_t index> struct tupleis { static istream &apply(istream &is, tuple_t &t) { tupleis<tuple_t, index - 1>::apply(is, t
        ); return is >> get<index>(t); } };
template <class tuple_t> struct tupleis<tuple_t, SIZE_MAX> { static istream &apply(istream &is, tuple_t &t) { return is; } };
template <class... T> istream &operator>>(istream &is, tuple<T...> &t) { return tupleis<tuple<T...>, tuple_size<tuple<T...>>::value - 1>::apply
        (is, t); }
template <> istream &operator>>(istream &is, tuple<> &t) { return is; }
template <class tuple_t, size_t index> struct tupleos { static ostream &apply(ostream &os, const tuple_t &t) { tupleos<tuple_t, index - 1>::apply
        (os, t); return os << ' ' << get<index>(t); } };
template <class tuple_t> struct tupleos<tuple_t, 0> { static ostream &apply(ostream &os, const tuple_t &t) { return os << get<0>(t); } };
template <class... T> ostream &operator<<(ostream &os, const tuple<T...> &t) { return tupleos<tuple<T...>, tuple_size<tuple<T...>>::value - 1
        >::apply(os, t); }
template <> ostream &operator<<(ostream &os, const tuple<> &t) { return os; }
template <class Container, typename Value = typename Container::value_type, enable_if_t<!is_same<decay_t<Container>, string>::value, nullptr_t> =
        nullptr>
istream& operator>>(istream& is, Container &cont) { for(auto&& e : cont) is >> e; return is; }
template <class Container, typename Value = typename Container::value_type, enable_if_t<!is_same<decay_t<Container>, string>::value, nullptr_t> =
        nullptr>
ostream& operator<<(ostream& os, const Container &cont) { bool flag = 1; for(auto&& e : cont) flag ? flag = 0 : (os << ' ', 0), os << e; return
        os; }
} // namespace std
namespace setting
{
using namespace std;
using namespace chrono;
system_clock::time_point start_time, end_time;
long long get_elapsed_time() { end_time = system_clock::now(); return duration_cast<milliseconds>(end_time - start_time).count(); }
void print_elapsed_time() { cerr << "\n----- Exec time : " << get_elapsed_time() << " ms -----\n\n"; }
void buffer_check() { char bufc; if(cin >> bufc) cerr << "\n\033[1;35mwarning\033[0m: buffer not empty.\n"; }
struct setupper
{
setupper()
{
if(iostream_untie) ios::sync_with_stdio(false), cin.tie(nullptr);
cout << fixed << setprecision(__precision__);
#ifdef stderr_path
if(freopen(stderr_path, "a", stderr)) cerr << fixed << setprecision(__precision__);
#endif
#ifdef LOCAL
cerr << boolalpha << "\n----- stderr at LOCAL -----\n\n";
#endif
#ifdef __buffer_check__
atexit(buffer_check);
#endif
#ifdef __clock__
start_time = system_clock::now();
atexit(print_elapsed_time);
#endif
}
} __setupper; // struct setupper
} // namespace setting
#ifdef __clock__
#include "C:\Users\euler\OneDrive\Documents\Competitive_Programming\Library\local\clock.hpp"
#else
#define build_clock() ((void)0)
#define set_clock() ((void)0)
#define get_clock() ((void)0)
#endif
#ifdef LOCAL
#include "C:\Users\euler\OneDrive\Documents\Competitive_Programming\Library\local\dump.hpp"
#else
#define dump(...) ((void)0)
#endif
/* function utility start */
template <class T, class... types> T read(types... args) noexcept { typename std::remove_const<T>::type obj(args...); std::cin >> obj; return obj; }
#define input(type, var, ...) type var{read<type>(__VA_ARGS__)}
// substitute y for x if x > y.
template <class T> inline bool chmin(T &x, const T &y) { return x > y ? x = y, true : false; }
// substitute y for x if x < y.
template <class T> inline bool chmax(T &x, const T &y) { return x < y ? x = y, true : false; }
// binary search on discrete range.
template <class iter_type, class pred_type>
iter_type binary(iter_type __ok, iter_type __ng, pred_type pred)
{
std::ptrdiff_t dist(__ng - __ok);
while(std::abs(dist) > 1)
{
iter_type mid(__ok + dist / 2);
if(pred(mid)) __ok = mid, dist -= dist / 2;
else __ng = mid, dist /= 2;
}
return __ok;
}
// binary search on real numbers.
template <class pred_type>
long double binary(long double __ok, long double __ng, const long double eps, pred_type pred)
{
while(std::abs(__ok - __ng) > eps)
{
long double mid{(__ok + __ng) / 2};
(pred(mid) ? __ok : __ng) = mid;
}
return __ok;
}
// size of array.
template <class A, size_t N> size_t size(A (&array)[N]) { return N; }
// be careful that val is type-sensitive.
template <class T, class A, size_t N> void init(A (&array)[N], const T &val) { std::fill((T*)array, (T*)(array + N), val); }
/* functon utility end */
/* using alias start */
using namespace std;
using i32 = int_least32_t; using i64 = int_least64_t; using u32 = uint_least32_t; using u64 = uint_least64_t;
using p32 = pair<i32, i32>; using p64 = pair<i64, i64>;
template <class T, class Comp = less<T>> using heap = priority_queue<T, vector<T>, Comp>;
template <class T> using hashset = unordered_set<T>;
template <class Key, class Value> using hashmap = unordered_map<Key, Value>;
/* using alias end */
/* library start */
class modint_runtime
{
long long val;
friend std::ostream &operator<<(std::ostream &os, const modint_runtime &other) noexcept { return os << other.val; }
friend std::istream &operator>>(std::istream &is, modint_runtime &other) noexcept { long long val; other = modint_runtime((is >> val, val));
        return is; }
public:
static long long &mod() noexcept { static long long mod{}; return mod; }
modint_runtime(long long x = 0) : val{(x %= mod()) < 0 ? x + mod() : x} {}
long long value() const noexcept { return val; }
modint_runtime operator++(int) noexcept { modint_runtime t = *this; return ++val, t; }
modint_runtime &operator++() noexcept { return ++val, *this; }
modint_runtime operator--(int) noexcept { modint_runtime t = *this; return --val, t; }
modint_runtime &operator--() noexcept { return --val, *this; }
modint_runtime &operator=(long long other) noexcept { return val = (other %= mod()) < 0 ? other + mod() : other, *this; }
modint_runtime &operator+=(long long other) noexcept { return (val += other % mod()) < mod() ? 0 : val -= mod(), *this; }
modint_runtime &operator+=(const modint_runtime &other) noexcept { return (val += other.val) < mod() ? 0 : val -= mod(), *this; }
modint_runtime &operator-=(long long other) noexcept { return (val += mod() - other % mod()) < mod() ? 0 : val -= mod(), *this; }
modint_runtime &operator-=(const modint_runtime &other) noexcept { return (val += mod() - other.val) < mod() ? 0 : val -= mod(), *this; }
modint_runtime &operator*=(long long other) noexcept { return (val *= other % mod()) %= mod(), *this; }
modint_runtime &operator*=(const modint_runtime &other) noexcept { return (val *= other.val) %= mod(), *this; }
modint_runtime &operator/=(long long other) noexcept { return *this *= inverse(other); }
modint_runtime &operator/=(const modint_runtime &other) noexcept { return *this *= inverse(other); }
modint_runtime operator-() const noexcept { return modint_runtime(-val); }
modint_runtime operator+(const modint_runtime &other) const noexcept { return modint_runtime{*this} += other; }
modint_runtime operator-(const modint_runtime &other) const noexcept { return modint_runtime{*this} -= other; }
modint_runtime operator*(const modint_runtime &other) const noexcept { return modint_runtime{*this} *= other; }
modint_runtime operator/(const modint_runtime &other) const noexcept { return modint_runtime{*this} /= other; }
bool operator==(const modint_runtime &other) const noexcept { return val == other.val; }
bool operator!=(const modint_runtime &other) const noexcept { return val != other.val; }
bool operator!() const noexcept { return !val; }
friend modint_runtime operator+(long long x, modint_runtime y) noexcept { return {x + y.val}; }
friend modint_runtime operator-(long long x, modint_runtime y) noexcept { return {x - y.val}; }
friend modint_runtime operator*(long long x, modint_runtime y) noexcept { return {x % mod() * y.val}; }
friend modint_runtime operator/(long long x, modint_runtime y) noexcept { return {x % mod() * inverse(y).val}; }
static modint_runtime inverse(const modint_runtime &other) noexcept
{
assert(mod() && other.val);
long long a{mod()}, b{other.val}, u{}, v{1}, t{};
while(b) t = a / b, a ^= b ^= (a -= t * b) ^= b, u ^= v ^= (u -= t * v) ^= v;
return {u};
}
static modint_runtime pow(modint_runtime other, long long e) noexcept
{
if(e < 0) e = e % (mod() - 1) + mod() - 1;
modint_runtime res{1};
while(e) { if(e & 1) res *= other; other *= other, e >>= 1; }
return res;
}
}; // class modint_runtime
/* library end */
/* The main code follows. */
template <class T> void _main();
struct solver;
int main() { _main<solver>(); }
template <class solver>
void _main()
{
unsigned t;
#ifdef LOCAL
t = 1;
#else
t = 1; // single test case
#endif
// t = -1; // infinite loop
// cin >> t; // case number given
while(t--) solver();
}
struct solver
{
solver()
{
i64 P; cin>>P; modint_runtime::mod()=P;
modint_runtime n; cin>>n;
i64 ord=P-1;
for(i64 i=1; i*i<P; ++i)
{
if((P-1)%1) continue;
if(modint_runtime::pow(n,i)==1)
{
ord=min(ord,i);
}
if(modint_runtime::pow(n,(P-1)/i)==1)
{
ord=min(ord,(P-1)/i);
}
}
int inv=P-1-(P-1)/ord;
cout << (inv&1) << "\n";
}
};
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