結果

問題 No.1255 ハイレーツ・オブ・ボリビアン
コンテスト
ユーザー stoq
提出日時 2020-10-10 01:06:48
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 1,198 ms / 2,000 ms
コード長 3,674 bytes
コンパイル時間 2,178 ms
コンパイル使用メモリ 204,248 KB
最終ジャッジ日時 2025-01-15 06:06:56
ジャッジサーバーID
（参考情報） 		judge3 / judge5
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 * 1
other AC * 15
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 # 

#define MOD_TYPE 1

#pragma region Macros

#include <bits/stdc++.h>
using namespace std;

#if 0
#include <boost/multiprecision/cpp_int.hpp>
#include <boost/multiprecision/cpp_dec_float.hpp>
using Int = boost::multiprecision::cpp_int;
using lld = boost::multiprecision::cpp_dec_float_100;
#endif
#if 1
#pragma GCC target("avx2")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#endif
using ll = long long int;
using ld = long double;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
using pld = pair<ld, ld>;
template <typename Q_type>
using smaller_queue = priority_queue<Q_type, vector<Q_type>, greater<Q_type>>;

constexpr ll MOD = (MOD_TYPE == 1 ? (ll)(1e9 + 7) : 998244353);
//constexpr ll MOD = 1;
constexpr int INF = (int)1e9 + 10;
constexpr ll LINF = (ll)4e18;
constexpr double PI = acos(-1.0);
constexpr double EPS = 1e-9;
constexpr int Dx[] = {0, 0, -1, 1, -1, 1, -1, 1, 0};
constexpr int Dy[] = {1, -1, 0, 0, -1, -1, 1, 1, 0};

#define REP(i, m, n) for (ll i = m; i < (ll)(n); ++i)
#define rep(i, n) REP(i, 0, n)
#define REPI(i, m, n) for (int i = m; i < (int)(n); ++i)
#define repi(i, n) REPI(i, 0, n)
#define MP make_pair
#define MT make_tuple
#define YES(n) cout << ((n) ? "YES" : "NO") << "\n"
#define Yes(n) cout << ((n) ? "Yes" : "No") << "\n"
#define possible(n) cout << ((n) ? "possible" : "impossible") << "\n"
#define Possible(n) cout << ((n) ? "Possible" : "Impossible") << "\n"
#define Yay(n) cout << ((n) ? "Yay!" : ":(") << "\n"
#define all(v) v.begin(), v.end()
#define NP(v) next_permutation(all(v))
#define dbg(x) cerr << #x << ":" << x << "\n";

struct io_init
{
  io_init()
  {
    cin.tie(0);
    ios::sync_with_stdio(false);
    cout << setprecision(30) << setiosflags(ios::fixed);
  };
} io_init;
template <typename T>
inline bool chmin(T &a, T b)
{
  if (a > b)
  {
    a = b;
    return true;
  }
  return false;
}
template <typename T>
inline bool chmax(T &a, T b)
{
  if (a < b)
  {
    a = b;
    return true;
  }
  return false;
}
inline ll CEIL(ll a, ll b)
{
  return (a + b - 1) / b;
}
template <typename A, size_t N, typename T>
inline void Fill(A (&array)[N], const T &val)
{
  fill((T *)array, (T *)(array + N), val);
}
template <typename T, typename U>
constexpr istream &operator>>(istream &is, pair<T, U> &p) noexcept
{
  is >> p.first >> p.second;
  return is;
}
template <typename T, typename U>
constexpr ostream &operator<<(ostream &os, pair<T, U> &p) noexcept
{
  os << p.first << " " << p.second;
  return os;
}
#pragma endregion

ll modpow(ll a, ll n, ll mod)
{
  ll res = 1;
  while (n > 0)
  {
    if (n & 1)
      res = res * a % mod;
    a = a * a % mod;
    n >>= 1;
  }
  return res;
}

// gcd(a, mod) = 1
ll modinv(ll a, ll mod)
{
  ll b = mod, u = 1, v = 0;
  while (b)
  {
    ll t = a / b;
    a -= t * b;
    swap(a, b);
    u -= t * v;
    swap(u, v);
  }
  u %= mod;
  if (u < 0)
    u += mod;
  return u;
}

// a^x ≡ b
ll modlog(ll a, ll b, ll mod, bool include0 = false)
{
  a %= mod, b %= mod;
  constexpr ll sqrtM = 10000;

  // {a^0, a^1, ..., a^sqrt{M-1}}
  unordered_map<ll, ll> mp;
  ll p = 1;
  for (ll r = 0; r < sqrtM; ++r)
  {
    if (p == b)
    {
      if (r > 0 || include0)
        return r;
    }
    if (!mp.count(p))
      mp[p] = r;
    p = p * a % mod;
  }

  // check each A^p
  ll A = modpow(modinv(a, mod), sqrtM, mod);
  p = b;
  for (ll q = 1; q <= CEIL(mod, sqrtM); ++q)
  {
    p = p * A % mod;
    if (mp.count(p))
      return q * sqrtM + mp[p];
  }

  return -1;
}

void solve()
{
  ll k;
  cin >> k;
  ll ans = modlog(2, 1, 2 * k - 1);
  cout << ans << "\n";
}

int main()
{
  int testcase;
  cin >> testcase;
  rep(ti, testcase)
  {
    solve();
  }
}
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