結果

問題 No.109 N! mod M
ユーザー fumiphysfumiphys
提出日時 2019-09-07 22:02:26
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 1,299 ms / 5,000 ms
コード長 4,564 bytes
コンパイル時間 1,584 ms
コンパイル使用メモリ 171,888 KB
実行使用メモリ 6,944 KB
最終ジャッジ日時 2024-06-27 05:47:37
合計ジャッジ時間 3,871 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge4
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 3 ms
6,816 KB
testcase_01 AC 131 ms
6,940 KB
testcase_02 AC 121 ms
6,940 KB
testcase_03 AC 2 ms
6,944 KB
testcase_04 AC 18 ms
6,940 KB
testcase_05 AC 1,299 ms
6,944 KB
testcase_06 AC 2 ms
6,940 KB
testcase_07 AC 144 ms
6,944 KB
testcase_08 AC 2 ms
6,940 KB
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 # 

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

// macros
#define pb emplace_back
#define mk make_pair
#define FOR(i, a, b) for(int i=(a);i<(b);++i)
#define rep(i, n) FOR(i, 0, n)
#define rrep(i, n) for(int i=((int)(n)-1);i>=0;i--)
#define irep(itr, st) for(auto itr = (st).begin(); itr != (st).end(); ++itr)
#define irrep(itr, st) for(auto itr = (st).rbegin(); itr != (st).rend(); ++itr)
#define all(x) (x).begin(),(x).end()
#define sz(x) ((int)(x).size())
#define UNIQUE(v) v.erase(unique(v.begin(), v.end()), v.end())
#define bit(n) (1LL<<(n))
// functions
template <class T>bool chmax(T &a, const T &b){if(a < b){a = b; return 1;} return 0;}
template <class T>bool chmin(T &a, const T &b){if(a > b){a = b; return 1;} return 0;}
template <typename T> istream &operator>>(istream &is, vector<T> &vec){for(auto &v: vec)is >> v; return is;}
template <typename T> ostream &operator<<(ostream &os, const vector<T>& vec){for(int i = 0; i < vec.size(); i++){ os << vec[i]; if(i + 1 != vec.size())os << " ";} return os;}
template <typename T> ostream &operator<<(ostream &os, const set<T>& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;}
template <typename T> ostream &operator<<(ostream &os, const unordered_set<T>& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;}
template <typename T> ostream &operator<<(ostream &os, const multiset<T>& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;}
template <typename T> ostream &operator<<(ostream &os, const unordered_multiset<T>& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;}
template <typename T1, typename T2> ostream &operator<<(ostream &os, const pair<T1, T2> &p){os << p.first << " " << p.second; return os;}
template <typename T1, typename T2> ostream &operator<<(ostream &os, const map<T1, T2> &mp){for(auto itr = mp.begin(); itr != mp.end(); ++itr){ os << itr->first << ":" << itr->second; auto titr = itr; if(++titr != mp.end())os << " "; } return os;}
template <typename T1, typename T2> ostream &operator<<(ostream &os, const unordered_map<T1, T2> &mp){for(auto itr = mp.begin(); itr != mp.end(); ++itr){ os << itr->first << ":" << itr->second; auto titr = itr; if(++titr != mp.end())os << " "; } return os;}
//  types
using ll = long long int;
using P = pair<int, int>;
// constants
const int inf = 1e9;
const ll linf = 1LL << 50;
const double EPS = 1e-10;
const int mod = 1000000007;
const int dx[4] = {-1, 0, 1, 0};
const int dy[4] = {0, -1, 0, 1};
// io
struct fast_io{
  fast_io(){ios_base::sync_with_stdio(false); cin.tie(0); cout << fixed << setprecision(20);}
} fast_io_;

template <typename T>
T power(T a, T n, T mod) {
  T res = 1;
  T tmp = n;
  T curr = a;
  while(tmp){
    if(tmp % 2 == 1){
      res = (T)(res * curr % mod);
    }
    curr = (T)(curr * curr % mod);
    tmp >>= 1;
  }

  return res;
}

template <typename T>
bool suspect(T a, int s, T d, T n){
  T x = power<T>(a, d, n);
  if(x == 1)return true;
  for(int r = 0; r < s; r++){
    if(x == n - 1)return true;
    x = x * x % n;
  }
  return false;
}

template <typename T>
bool millar_rabin(T n){
  if(n <= 1 || (n > 2 && n % 2 == 0))return false;
  vector<ll> test = {2, 3, 5, 7, 11, 13, 17, 19, 23};
  T d = n - 1;
  int s = 0;
  while(d % 2 == 0)s++, d /= 2;
  for(int i = 0; i < test.size() && test[i] < n; i++){
    if(!suspect<T>(test[i], s, d, n))return false;
  }
  return true;
}

template<typename T>
T extgcd(T a, T b, T &x, T &y){ 
  T d = a;
  if(b != 0){
    d = extgcd(b, a % b, y, x);
    y -= (a / b) * x;
  }else{
    x = 1, y = 0;
  }
  return d;
}

template <typename T>
T modinv(T a, T m){
  long long x = 0, y = 0;
  extgcd<long long>(a, m, x, y);
  x %= m;
  if(x < 0)x += m;
  return x;
}


int main(int argc, char const* argv[])
{
  int t;
  cin >> t;
  rep(i_, t){
    ll n, m;
    cin >> n >> m;
    if(n >= m || m == 1){
      cout << 0 << endl;
      continue;
    }
    if(millar_rabin<ll>(m)){
      ll curr = m - 1;
      for(ll i = m - 1; i > n; --i){
        curr = curr * modinv(i, m) % m;
      }
      cout << curr << endl;
    }else{
      if(m > 300000){
        cout << 0 << endl;
      }else{
        ll res = 1;
        for(int i = 1; i <= n; i++){
          res = res * i % m;
        }
        cout << res << endl;
      }
    }
  }
  return 0;
}
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