結果

問題 No.3030 ミラー・ラビン素数判定法のテスト
ユーザー ningenMeningenMe
提出日時 2020-03-29 03:06:10
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
CE  
(最新)
AC  
(最初)
実行時間 -
コード長 3,236 bytes
コンパイル時間 1,473 ms
コンパイル使用メモリ 159,700 KB
最終ジャッジ日時 2024-11-14 22:14:33
合計ジャッジ時間 2,532 ms
ジャッジサーバーID
(参考情報)
judge1 / judge2
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コンパイルメッセージ
In file included from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/bits/stl_algo.h:65,
                 from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/algorithm:61,
                 from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/x86_64-pc-linux-gnu/bits/stdc++.h:65,
                 from main.cpp:1:
/home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/bits/uniform_int_dist.h: In instantiation of 'class std::uniform_int_distribution<__int128 unsigned>':
main.cpp:43:65:   required from here
/home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/bits/uniform_int_dist.h:79:49: error: static assertion failed: template argument must be an integral type
   79 |       static_assert(std::is_integral<_IntType>::value,
      |                                                 ^~~~~
/home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/bits/uniform_int_dist.h:79:49: note: 'std::integral_constant<bool, false>::value' evaluates to false

ソースコード

diff #

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

#define ALL(obj) (obj).begin(),(obj).end()
#define SPEED cin.tie(0);ios::sync_with_stdio(false);

template<class T> using PQ = priority_queue<T>;
template<class T> using PQR = priority_queue<T,vector<T>,greater<T>>;

constexpr long long MOD = (long long)1e9 + 7;
constexpr long long MOD2 = 998244353;
constexpr long long HIGHINF = (long long)1e18;
constexpr long long LOWINF = (long long)1e15;
constexpr long double PI = 3.1415926535897932384626433L;

template <class T> vector<T> multivector(size_t N,T init){return vector<T>(N,init);}
template <class... T> auto multivector(size_t N,T... t){return vector<decltype(multivector(t...))>(N,multivector(t...));}
template <class T> void corner(bool flg, T hoge) {if (flg) {cout << hoge << endl; exit(0);}}
template <class T, class U>ostream &operator<<(ostream &o, const map<T, U>&obj) {o << "{"; for (auto &x : obj) o << " {" << x.first << " : " << x.second << "}" << ","; o << " }"; return o;}
template <class T>ostream &operator<<(ostream &o, const set<T>&obj) {o << "{"; for (auto itr = obj.begin(); itr != obj.end(); ++itr) o << (itr != obj.begin() ? ", " : "") << *itr; o << "}"; return o;}
template <class T>ostream &operator<<(ostream &o, const multiset<T>&obj) {o << "{"; for (auto itr = obj.begin(); itr != obj.end(); ++itr) o << (itr != obj.begin() ? ", " : "") << *itr; o << "}"; return o;}
template <class T>ostream &operator<<(ostream &o, const vector<T>&obj) {o << "{"; for (int i = 0; i < (int)obj.size(); ++i)o << (i > 0 ? ", " : "") << obj[i]; o << "}"; return o;}
template <class T, class U>ostream &operator<<(ostream &o, const pair<T, U>&obj) {o << "{" << obj.first << ", " << obj.second << "}"; return o;}
template <template <class tmp>  class T, class U> ostream &operator<<(ostream &o, const T<U> &obj) {o << "{"; for (auto itr = obj.begin(); itr != obj.end(); ++itr)o << (itr != obj.begin() ? ", " : "") << *itr; o << "}"; return o;}
void print(void) {cout << endl;}
template <class Head> void print(Head&& head) {cout << head;print();}
template <class Head, class... Tail> void print(Head&& head, Tail&&... tail) {cout << head << " ";print(forward<Tail>(tail)...);}
template <class T> void chmax(T& a, const T b){a=max(a,b);}
template <class T> void chmin(T& a, const T b){a=min(a,b);}
void YN(bool flg) {cout << (flg ? "YES" : "NO") << endl;}
void Yn(bool flg) {cout << (flg ? "Yes" : "No") << endl;}
void yn(bool flg) {cout << (flg ? "yes" : "no") << endl;}


int MillerRabin(const __uint128_t N) {
	if (N <= 1) return 0;
	if (N == 2) return 1;
	__uint128_t M = N - 1,cnt = 0;;
	for (; M % 2 == 0; M /= 2,cnt++);
	mt19937 mt(time(NULL));
	for (int k = 0; k < 10; k++) {
		__uint128_t a = uniform_int_distribution<__uint128_t>(2, N - 1)(mt), r = 1;
		for (__uint128_t K = M; K > 0; K >>= 1, (a *= a) %= N) if (K & 1) (r *= a) %= N;
		if (r == 1) continue;
		for (int i = 1; i < cnt && r != N - 1; i++) (r *= r) %= N;
		if (r != N - 1) return 0;
	}
	return 1;
}

int main() {
    long long N; cin >> N;
    vector<long long> A(N);
    for(int i = 0; i < N; ++i) cin >> A[i];
    for(int i = 0; i < N; ++i) {
        cout << A[i] << " " << MillerRabin(A[i]) << endl;
    }
    


    return 0;
}
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