結果

問題 No.984 Inversion
ユーザー haruki_Kharuki_K
提出日時 2020-02-11 14:49:54
言語 C++14
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 15 ms / 2,000 ms
コード長 7,427 bytes
コンパイル時間 2,157 ms
コンパイル使用メモリ 176,948 KB
実行使用メモリ 6,824 KB
最終ジャッジ日時 2024-10-01 07:46:11
合計ジャッジ時間 2,917 ms
ジャッジサーバーID
(参考情報)
judge2 / judge3
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

// >>> TEMPLATES
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
#define int ll
#define double ld
#define rep(i,n) for (int i = 0; i < (int)(n); i++)
#define rep1(i,n) for (int i = 1; i <= (int)(n); i++)
#define repR(i,n) for (int i = (int)(n)-1; i >= 0; i--)
#define rep1R(i,n) for (int i = (int)(n); i >= 1; i--)
#define loop(i,a,B) for (int i = a; i B; i++)
#define loopR(i,a,B) for (int i = a; i B; i--)
#define all(x) (x).begin(), (x).end()
#define allR(x) (x).rbegin(), (x).rend()
#define pb push_back
#define eb emplace_back
#define mp make_pair
#define fst first
#define snd second
#define INF (numeric_limits<int>::max()/2-1)
#ifdef LOCAL
#include "debug.hpp"
#define dump(...) cerr << "[" << __LINE__ << ":" << __FUNCTION__ << "] ", dump_impl(#__VA_ARGS__, __VA_ARGS__)
#define say(x) cerr << "[" << __LINE__ << ":" << __FUNCTION__ << "] " << x << endl
#define debug if (1)
#else
#define dump(...) (void)(0)
#define say(x) (void)(0)
#define debug if (0)
#endif
template <class T> using pque_max = priority_queue<T>;
template <class T> using pque_min = priority_queue<T, vector<T>, greater<T> >;
template <class T, class = typename T::iterator, class = typename enable_if<!is_same<T, string>::value>::type>
ostream& operator<<(ostream& os, T const& v) { bool f = true; for (auto const& x : v) os << (f ? "" : " ") << x, f = false; return os; }
template <class T, class = typename T::iterator, class = typename enable_if<!is_same<T, string>::value>::type>
istream& operator>>(istream& is, T &v) { for (auto& x : v) is >> x; return is; }
template <class T, class S> istream& operator>>(istream& is, pair<T,S>& p) { return is >> p.first >> p.second; }
struct IOSetup { IOSetup() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); } } iosetup;
template <class F> struct FixPoint : private F {
constexpr FixPoint(F&& f) : F(forward<F>(f)) {}
template <class... T> constexpr auto operator()(T&&... x) const { return F::operator()(*this, forward<T>(x)...); }
};
struct MakeFixPoint {
template <class F> constexpr auto operator|(F&& f) const { return FixPoint<F>(forward<F>(f)); }
};
#define MFP MakeFixPoint()|
#define def(name, ...) auto name = MFP [&](auto &&name, __VA_ARGS__)
template <class T, size_t d> struct vec_impl {
using type = vector<typename vec_impl<T,d-1>::type>;
template <class... U> static type make_v(size_t n, U&&... x) { return type(n, vec_impl<T,d-1>::make_v(forward<U>(x)...)); }
};
template <class T> struct vec_impl<T,0> { using type = T; static type make_v(T const& x = {}) { return x; } };
template <class T, size_t d = 1> using vec = typename vec_impl<T,d>::type;
template <class T, size_t d = 1, class... Args> auto make_v(Args&&... args) { return vec_impl<T,d>::make_v(forward<Args>(args)...); }
template <class T> void quit(T const& x) { cout << x << endl; exit(0); }
template <class T> constexpr bool chmin(T& x, T const& y) { if (x > y) { x = y; return true; } return false; }
template <class T> constexpr bool chmax(T& x, T const& y) { if (x < y) { x = y; return true; } return false; }
template <class It> constexpr auto sumof(It b, It e) { return accumulate(b,e,typename iterator_traits<It>::value_type{}); }
template <class T> int sz(T const& x) { return x.size(); }
template <class C, class T> int lbd(C const& v, T const& x) {
return lower_bound(v.begin(), v.end(), x)-v.begin();
}
template <class C, class T> int ubd(C const& v, T const& x) {
return upper_bound(v.begin(), v.end(), x)-v.begin();
}
// <<<
// >>> runtime modint
class runtime_modint {
using i32 = int32_t;
using i64 = int64_t;
using M = runtime_modint;
i32 x;
public:
static i32& mod() { static i32 mod = 0; return mod; }
runtime_modint(i64 x = 0)
: x((assert(mod() > 0), ((x%=mod()) < 0 ? x+mod() : x))) { }
i64 val() const { return x; }
bool operator==(M const& r) const { return x == r.x; }
bool operator!=(M const& r) const { return x != r.x; }
M operator+() const { return *this; }
M operator-() const { return M()-*this; }
M& operator+=(M const& r) { i64 t = i64(x) + r.x; if (t >= mod()) t -= mod(); x = t; return *this; }
M& operator-=(M const& r) { i64 t = i64(x) + mod()-r.x; if (t >= mod()) t -= mod(); x = t; return *this; }
M& operator*=(M const& r) { return *this = *this * r; }
M operator*(M const& r) const { M t; t.x = (i64(x)*r.x) % mod(); return t; }
M& operator/=(M const& r) { return *this *= r.inv(); }
M operator+(M const& r) const { return M(*this) += r; }
M operator-(M const& r) const { return M(*this) -= r; }
M operator/(M const& r) const { return M(*this) /= r; }
friend M operator+(ll x, M const& y) { return M(x)+y; }
friend M operator-(ll x, M const& y) { return M(x)-y; }
friend M operator*(ll x, M const& y) { return M(x)*y; }
friend M operator/(ll x, M const& y) { return M(x)/y; }
M pow(ll n) const {
if (n < 0) return inv().pow(-n);
M v = *this, r = 1;
for (; n > 0; n >>= 1, v *= v) if (n&1) r *= v;
return r;
}
M inv() const {
assert(x > 0);
i64 t = 1, v = x, q = 0, r = 0;
while (v != 1) {
q = mod() / v; r = mod() % v;
if (r * 2 < v) {
t *= -q; t %= mod(); v = r;
} else {
t *= q + 1; t %= mod(); v -= r;
}
}
if (t < 0) t += mod();
M y; y.x = t; return y;
}
static i64 gen() { // assume mod():prime
if (mod() == 2) return 1;
vector<int> ps;
int n = mod()-1;
for (int i = 2; i*i <= n; ++i) {
if (n % i) continue;
ps.push_back(i);
do n /= i; while (n % i == 0);
}
if (n > 1) ps.push_back(n);
n = mod()-1;
auto check = [&](M g) {
for (int p : ps) if (g.pow(n/p) == 1) return false;
return true;
};
for (int g = 2; g <= n; ++g) if (check(g)) return g;
return -1;
}
int log(M y) {
assert(x > 0);
int s = 1; while (s*s < mod()) s++;
dump(mod(),s);
unordered_map<int,int> m;
M c = 1;
rep (i,s) {
if (!m.count(c.val())) m[c.val()] = i;
c *= *this;
if (c.val() == 1) return i+1;
}
M d = pow(-s);
c = y;
rep (i,s) {
if (m.count(c.val())) {
int ans = i*s + m[c.val()];
if (ans > 0) return ans;
}
c *= d;
}
return -1;
}
};
#ifdef LOCAL
string to_s(runtime_modint r) { return to_s(r.val(), runtime_modint::mod()); }
#endif
ostream& operator<<(ostream& os, runtime_modint r) { return os << r.val(); }
istream& operator>>(istream& is, runtime_modint &r) { ll x; is >> x; r = x; return is; }
using mint = runtime_modint;
// <<<
int32_t main() {
int p,n; cin >> p >> n;
mint::mod() = p;
// rep1 (i,p-1) {
// int val = mint(i).log(1);
// dump(i,val);
// rep1 (j,val-1) {
// if (mint(i).pow(j) == 1) {
// dump(i,j,mint(i).pow(j) != 1);
// }
// assert(mint(i).pow(j) != 1);
// }
// assert(mint(i).pow(val) == 1);
// }
int d = mint(n).log(1);
assert((p-1)%d == 0);
int k = (p-1)/d;
dump(d,k);
cout << ((p-1-k)&1) << endl;
}
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