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 |
 tsuyu93
|
| 提出日時 | 2021-01-25 16:40:34 |
| 言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
| 結果 |
WA
|
| 実行時間 | - |
| コード長 | 13,992 bytes |
| コンパイル時間 | 2,500 ms |
| コンパイル使用メモリ | 214,116 KB |
| 実行使用メモリ | 6,824 KB |
| 最終ジャッジ日時 | 2024-11-18 19:16:02 |
| 合計ジャッジ時間 | 3,105 ms |
|
ジャッジサーバーID （参考情報） |
judge3 / judge4 |
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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 | 2 ms
5,248 KB |
| testcase_01 | AC | 2 ms
5,248 KB |
| testcase_02 | AC | 2 ms
5,248 KB |
| testcase_03 | AC | 2 ms
5,248 KB |
| testcase_04 | WA | - |
| testcase_05 | WA | - |
| testcase_06 | WA | - |
| testcase_07 | WA | - |
| testcase_08 | WA | - |
| testcase_09 | WA | - |
ソースコード
/*
author:ryo3ihara
date:2021-01-25 16:38:10
”継続は力なり、雨だれ石を穿つ”
”slow but steady wins the race”
*/
#pragma GCC optimize("Ofast")
#include<bits/stdc++.h>
//#include<atcoder/all>
//using namespace atcoder;
/*
#include <boost/multiprecision/cpp_dec_float.hpp>
#include <boost/multiprecision/cpp_int.hpp>
namespace mpb = boost::multiprecision;
using bint = mpb::cpp_int;
// 仮数部が1024ビットの浮動小数点数型(TLEしたら小さくする)
using Real = mpb::number<mpb::cpp_dec_float<1024>>;
*/
#ifdef __HOGE__
#pragma region macro
#endif
using namespace std;
using ll = long long;
using ld = long double;
using ull = unsigned long long;
using uint = unsigned;
using pll = pair<ll, ll>;
using pli = pair<ll, int>;
using pii = pair<int, int>;
using pld = pair<ll, ld>;
using ppiii = pair<pii, int>;
using ppiill = pair<pii, ll>;
using ppllll = pair<pll, ll>;
using pplii = pair<pli, int>;
using mii = map<int, int>;
using dll = deque<ll>;
using qll = queue<ll>;
using pqll = priority_queue<ll>;
using pqrll = priority_queue<ll, vector<ll>, greater<ll>>;
using pqrpll = priority_queue<pll, vector<pll>, greater<pll>>;
using vint = vector<int>;
using vbool = vector<bool>;
using vstr = vector<string>;
using vll = vector<ll>;
using vpll = vector<pll>;
using vvll = vector<vector<ll>>;
using vvint = vector<vector<int>>;
using vvbool = vector<vbool>;
using vvstr = vector<vstr>;
using vvpll = vector<vector<pll>>;
#define REP(i,n) for(ll i=0;i<ll(n);i++)
#define REPD(i,n) for(ll i=n-1;i>=0;i--)
#define FOR(i,a,b) for(ll i=a;i<=ll(b);i++)
#define FORD(i,a,b) for(ll i=a;i>=ll(b);i--)
#define overload4(_1,_2,_3,_4,name,...) name
#define overload3(_1,_2,_3,name,...) name
#define rep1(n) for(ll i=0;i<n;++i)
#define rep2(i,n) for(ll i=0;i<n;++i)
#define rep3(i,a,b) for(ll i=a;i<b;++i)
#define rep4(i,a,b,c) for(ll i=a;i<b;i+=c)
#define rep(...) overload4(__VA_ARGS__,rep4,rep3,rep2,rep1)(__VA_ARGS__)
#define rrep1(n) for(ll i=n;i--;)
#define rrep2(i,n) for(ll i=n;i--;)
#define rrep3(i,a,b) for(ll i=b;i-->(a);)
#define rrep4(i,a,b,c) for(ll i=(a)+((b)-(a)-1)/(c)*(c);i>=(a);i-=c)
#define rrep(...) overload4(__VA_ARGS__,rrep4,rrep3,rrep2,rrep1)(__VA_ARGS__)
#define each1(i,a) for(auto&&i:a)
#define each2(x,y,a) for(auto&&[x,y]:a)
#define each3(x,y,z,a) for(auto&&[x,y,z]:a)
#define each(...) overload4(__VA_ARGS__,each3,each2,each1)(__VA_ARGS__)
#define all1(i) begin(i),end(i)
#define all2(i,a) begin(i),begin(i)+a
#define all3(i,a,b) begin(i)+a,begin(i)+b
#define all(...) overload3(__VA_ARGS__,all3,all2,all1)(__VA_ARGS__)
#define rall1(i) (i).rbegin(),(i).rend()
#define rall2(i,k) (i).rbegin(),(i).rbegin()+k
#define rall3(i,a,b) (i).rbegin()+a,(i).rbegin()+b
#define rall(...) overload3(__VA_ARGS__,rall3,rall2,rall1)(__VA_ARGS__)
#define SUM(...) accumulate(all(__VA_ARGS__),0LL)
#define ALL(x) x.begin(),x.end()
#define rALL(x) x.rbegin(),x.rend()
#define SIZE(x) ll(x.size())
#define Sort(a) sort(all(a))
#define INT(...) int __VA_ARGS__;in(__VA_ARGS__)
#define LL(...) ll __VA_ARGS__;in(__VA_ARGS__)
#define ULL(...) ull __VA_ARGS__;in(__VA_ARGS__)
#define STR(...) string __VA_ARGS__;in(__VA_ARGS__)
#define CHR(...) char __VA_ARGS__;in(__VA_ARGS__)
#define DBL(...) double __VA_ARGS__;in(__VA_ARGS__)
#define LD(...) ld __VA_ARGS__;in(__VA_ARGS__)int scan(){ return getchar(); }
#define fs first
#define sc second
#define endl '\n'
#define elif else if
void scan(int& a){ scanf("%d", &a); }
void scan(unsigned& a){ scanf("%u", &a); }
void scan(long& a){ scanf("%ld", &a); }
void scan(long long& a){ scanf("%lld", &a); }
void scan(unsigned long long& a){ scanf("%llu", &a); }
void scan(char& a){ do{ a = getchar(); }while(a == ' ' || a == '\n'); }
void scan(float& a){ scanf("%f", &a); }
void scan(double& a){ scanf("%lf", &a); }
void scan(long double& a){ scanf("%Lf", &a); }
void scan(vector<bool>& a){ for(unsigned i = 0; i < a.size(); i++){ int b; scan(b); a[i] = b; } }
void scan(char a[]){ scanf("%s", a); }
void scan(string& a){ cin >> a; }
template<class T> void scan(vector<T>&);
template<class T, size_t size> void scan(array<T, size>&);
template<class T, class L> void scan(pair<T, L>&);
template<class T, size_t size> void scan(T(&)[size]);
template<class T> void scan(vector<T>& a){ for(auto&& i : a) scan(i); }
template<class T> void scan(deque<T>& a){ for(auto&& i : a) scan(i); }
template<class T, size_t size> void scan(array<T, size>& a){ for(auto&& i : a) scan(i); }
template<class T, class L> void scan(pair<T, L>& p){ scan(p.first); scan(p.second); }
template<class T, size_t size> void scan(T (&a)[size]){ for(auto&& i : a) scan(i); }
template<class T> void scan(T& a){ cin >> a; }
void in(){}
template <class Head, class... Tail> void in(Head& head, Tail&... tail){ scan(head); in(tail...); }
void print(){ putchar(' '); }
void print(bool a){ printf("%d", a); }
void print(int a){ printf("%d", a); }
void print(unsigned a){ printf("%u", a); }
void print(long a){ printf("%ld", a); }
void print(long long a){ printf("%lld", a); }
void print(unsigned long long a){ printf("%llu", a); }
void print(char a){ printf("%c", a); }
void print(char a[]){ printf("%s", a); }
void print(const char a[]){ printf("%s", a); }
void print(float a){ printf("%.15f", a); }
void print(double a){ printf("%.15f", a); }
void print(long double a){ printf("%.15Lf", a); }
void print(const string& a){ for(auto&& i : a) print(i); }
template<class T> void print(const complex<T>& a){ if(a.real() >= 0) print('+'); print(a.real()); if(a.imag() >= 0) print('+'); print(a.imag()); print('i'); }
template<class T> void print(const vector<T>&);
template<class T, size_t size> void print(const array<T, size>&);
template<class T, class L> void print(const pair<T, L>& p);
template<class T, size_t size> void print(const T (&)[size]);
template<class T> void print(const vector<T>& a){ if(a.empty()) return; print(a[0]); for(auto i = a.begin(); ++i != a.end(); ){ putchar(' '); print(*i); } }
template<class T> void print(const deque<T>& a){ if(a.empty()) return; print(a[0]); for(auto i = a.begin(); ++i != a.end(); ){ putchar(' '); print(*i); } }
template<class T, size_t size> void print(const array<T, size>& a){ print(a[0]); for(auto i = a.begin(); ++i != a.end(); ){ putchar(' '); print(*i); } }
template<class T, class L> void print(const pair<T, L>& p){ print(p.first); putchar(' '); print(p.second); }
template<class T, size_t size> void print(const T (&a)[size]){ print(a[0]); for(auto i = a; ++i != end(a); ){ putchar(' '); print(*i); } }
template<class T> void print(const T& a){ cout << a; }
int out(){ putchar('\n'); return 0; }
template<class T> int out(const T& t){ print(t); putchar('\n'); return 0; }
template<class Head, class... Tail> int out(const Head& head, const Tail&... tail){ print(head); putchar(' '); out(tail...); return 0; }
#ifdef DEBUG
inline ll __lg(ull x){ return 63 - __builtin_clzll(x); }
#define debug(...) { print(#__VA_ARGS__); print(":"); out(__VA_ARGS__); }
#else
#define debug(...) void(0)
#endif
#define INF32 2147483647 //2.147483647x10^{9}:32bit整数のinf
#define INF64 9223372036854775807 //9.223372036854775807x10^{18}:64bit整数のinf
const ll MOD = 1000000007;
const int inf = 1e9;
const ll INF = 1e18;
const ll MAXR = 100000; //10^5:配列の最大のrange
const ld PI=3.1415926535897932;
inline void Yes(bool b = true) { cout << (b ? "Yes" : "No") << '\n'; }
inline void YES(bool b = true) { cout << (b ? "YES" : "NO") << '\n'; }
inline void OKNG(bool b = true) { cout << (b ? "OK" : "NG") << '\n'; }
inline void possible(bool i = true){ cout << (i?"possible":"impossible") << '\n'; }
inline void Possible(bool i = true){ cout << (i?"Possible":"Impossible") << '\n'; }
inline void POSSIBLE(bool i = true){ cout << (i?"POSSIBLE":"IMPOSSIBLE") << '\n'; }
template<typename A, typename B> inline bool chmin(A& a, B b) {if (a > b) {a = b;return true;}return false;}
template<typename A, typename B> inline bool chmax(A& a, B b) {if (a < b) {a = b;return true;}return false;}
template<typename A, typename B> A min(A a, B b) {if (a < b) {return a;}return b;}
template<typename A, typename B> A max(A a, B b) {if (a > b) {return a;}return b;}
template<class T> auto min(const T& a){ return *min_element(a.begin(),a.end()); }
template<class T> auto max(const T& a){ return *max_element(a.begin(),a.end()); }
template<typename A> A power(A a, A b) {A res=1;while (b>0) {if (b&1){res*=a;}b/=2;a*=a;}return res;}
long long powmod(long long a, long long b) {long long res=1;while (b>0) {if (b&1){res*=a;res%=MOD;}b/=2;a*=a;a%=MOD;}return res;}
template<typename A> A powmod(A a, A b,A m) {A res=1;while (b>0) {if (b&1){res*=a;res%=m;}b/=2;a*=a;a%=m;}return res%m;}
template<typename A> A nlcm(vector<A> a) {A res;res = a[0];for (ll i = 1; i < (ll)a.size(); i++) {res = lcm(res, a[i]);}return res;}
template<typename A> A ngcd(vector<A> a){A res;res = a[0];for(ll i = 1; i < (ll)a.size() && res != 1; i++) {res = gcd(a[i], res);}return res;}
#ifdef __HOGE__
#pragma endregion
#endif
unsigned char bases_2[] = { 17, 11, 6, 60, 7, 13, 11, 34, 13, 2, 3, 37, 13, 11,
38, 2, 7, 105, 2, 7, 42, 11, 7, 3, 6, 15, 53, 44, 6, 6, 5, 15, 54, 7, 35,
10, 10, 15, 10, 10, 17, 17, 11, 10, 15, 43, 7, 5, 5, 3, 7, 43, 34, 2, 34,
2, 68, 53, 39, 10, 7, 6, 11, 2, 5, 2, 7, 2, 6, 5, 15, 40, 3, 5, 5, 2, 2,
10, 47, 13, 7, 43, 6, 7, 5, 6, 6, 13, 6, 35, 6, 15, 6, 13, 40, 10, 11, 2,
7, 2, 2, 3, 13, 3, 11, 15, 10, 5, 11, 14, 7, 11, 47, 5, 2, 2, 6, 2, 5, 55,
6, 5, 7, 2, 6, 58, 35, 11, 5, 12, 17, 6, 10, 12, 6, 6, 2, 53, 2, 2, 13, 5,
14, 7, 15, 6, 13, 62, 10, 6, 3, 7, 7, 3, 14, 5, 14, 73, 15, 11, 11, 6, 5,
17, 10, 5, 3, 37, 51, 10, 7, 5, 38, 12, 5, 11, 5, 7, 6, 5, 6, 40, 43, 57,
10, 13, 7, 15, 2, 10, 34, 7, 39, 10, 5, 3, 6, 13, 11, 5, 10, 43, 10, 5, 3,
14, 5, 2, 5, 41, 5, 39, 46, 2, 10, 2, 5, 12, 3, 2, 2, 5, 15, 43, 17, 41, 2,
13, 15, 38, 11, 11, 3, 34, 5, 6, 3, 7, 2, 37, 5, 6, 10, 17, 35, 2, 15, 6,
7, 5, 3, 13, 13, 12, 34, 2, 12, 10, 15, 13, 2, 2, 34, 6, 6, 5, 2, 7, 13, 3,
6, 11, 39, 42, 7, 2, 6, 39, 47, 3, 17, 5, 13, 7, 2, 47, 3, 7, 6, 11, 17,
37, 48, 7, 37, 11, 7, 10, 3, 14, 39, 14, 15, 43, 17, 2, 12, 7, 13, 5, 3, 6,
34, 37, 3, 17, 13, 2, 5, 10, 10, 44, 37, 2, 2, 10, 10, 7, 3, 7, 2, 7, 5,
43, 43, 11, 15, 51, 13, 17, 10, 11, 2, 5, 34, 17, 2, 2, 42, 6, 6, 5, 47,
15, 2, 12, 7, 3, 10, 15, 3, 7, 12, 12, 15, 43, 14, 7, 58, 13, 10, 6, 6, 38,
34, 5, 5, 13, 38, 6, 11, 10, 6, 7, 2, 55, 2, 13, 5, 11, 44, 15, 17, 2, 40,
2, 15, 13, 6, 2, 3, 3, 3, 3, 6, 39, 5, 11, 17, 37, 5, 7, 6, 10, 6, 12, 7,
5, 14, 10, 12, 71, 10, 35, 6, 11, 3, 2, 38, 3, 2, 34, 10, 17, 42, 2, 12, 6,
6, 11, 40, 12, 10, 6, 10, 2, 3, 3, 56, 11, 7, 42, 2, 38, 12, 2, 2, 13, 40,
12, 6, 5, 5, 59, 15, 38, 5, 5, 5, 7, 2, 10, 7, 2, 17, 10, 11, 6, 6, 6, 2,
10, 6, 54, 2, 82, 3, 34, 14, 15, 44, 5, 46, 2, 13, 5, 12, 13, 11, 10, 39,
5, 40, 3, 60, 3, 42, 11, 3, 46, 17, 3, 2, 37, 6, 42, 12, 14, 3, 12, 66, 13,
34, 7, 3, 13, 3, 11, 2, 13, 12, 38, 34, 5, 40, 10, 14, 6, 14, 11, 38, 58,
2, 48, 5, 15, 5, 73, 3, 37, 5, 11, 10, 5, 5, 13, 2, 10, 13, 34, 17, 3, 7,
47, 2, 2, 10, 15, 3, 3, 13, 6, 34, 13, 10, 13, 3, 6, 41, 10, 6, 2, 6, 2, 6,
2, 6, 6, 37, 10, 44, 35, 13, 51, 2, 7, 53, 5, 40, 5, 2, 37, 11, 15, 11, 13,
2, 5, 2, 6, 10, 17, 15, 43, 39, 17, 2, 12, 10, 15, 17, 7, 13, 3, 7, 15, 37,
5, 15, 7, 6, 10, 51, 2, 2, 40, 61, 2, 13, 13, 11, 2, 5, 34, 5, 5, 7, 2, 2,
2, 11, 3, 6, 13, 6, 17, 11, 10, 7, 46, 15, 7, 14, 35, 11, 7, 10, 6, 11, 40,
11, 2, 39, 7, 6, 66, 5, 3, 6, 5, 11, 10, 2, 10, 7, 13, 2, 45, 34, 6, 35, 2,
11, 5, 59, 75, 10, 17, 14, 17, 17, 17, 2, 11, 7, 10, 6, 11, 6, 56, 34, 35,
11, 14, 12, 41, 40, 17, 40, 3, 11, 7, 37, 14, 7, 13, 7, 5, 2, 10, 6, 39, 2,
7, 37, 35, 10, 5, 15, 2, 7, 38, 34, 11, 17, 5, 6, 10, 3, 6, 7, 7, 43, 14,
2, 43, 3, 2, 47, 7, 35, 7, 3, 53, 2, 10, 10, 10, 60, 10, 6, 2, 6, 10, 5, 7,
57, 53, 13, 3, 35, 38, 15, 42, 3, 3, 12, 2, 10, 3, 38, 54, 13, 10, 11, 7,
13, 7, 2, 12, 39, 10, 54, 2, 12, 38, 10, 12, 12, 5, 15, 6, 10, 13, 5, 15,
10, 13, 6, 41, 40, 14, 12, 10, 11, 40, 5, 11, 10, 2, 5, 2, 13, 6, 2, 13, 5,
2, 10, 15, 5, 5, 10, 34, 13, 2, 5, 14, 5, 6, 5, 13, 3, 43, 6, 13, 11, 50,
3, 6, 6, 12, 15, 11, 37, 7, 69, 11, 14, 14, 7, 43, 5, 35, 11, 35, 11, 11,
34, 34, 39, 14, 11, 2, 10, 53, 6, 11, 2, 11, 60, 39, 11, 6, 15, 40, 17, 47,
34, 50, 7, 59, 47, 5, 13, 39, 5, 6, 53, 10, 14, 5, 51, 5, 7, 5, 6, 77, 7,
12, 7, 42, 2, 5, 2, 6, 60, 10, 13, 10, 6, 47, 6, 15, 17, 10, 11, 10, 12, 7,
7, 10, 17, 34, 5, 10, 7, 7, 2, 6, 10, 38, 2, 15, 6, 13, 7, 13, 2, 3, 13, 5,
3, 17, 2, 5, 15, 11, 39, 7, 39, 10, 10, 2, 6, 13, 3, 5, 17, 6, 14, 10, 37,
44, 3, 34, 5, 11, 7, 12, 2, 5, 3, 12, 3, 2, 3, 133, 12, 2, 2, 2, 3, 34, 14,
41, 2, 37, 11, 2, 6, 11, 6, 7, 15, 11, 35, 13, 6, 5, 2, 14, 7, 2 };
ull pow(ull a,ull e,ull n) {
ull ans = 1;
while(e>0) {
if(e&1) ans=(ans*a)%n;
a=(a*a)%n;
e>>=1;
}
return ans;
}
//n is odd
int is_SPRP(ull a,ull n) {
int d=0;
ull t = n-1;
while(t%2==0) {
++d;
t>>=1;
}
ull x = pow(a,t,n);
if(x==1) return 1;
for(int i=0;i<d;++i) {
if(x==n-1) return 1;
x=(x*x)%n;
if(x==1) return 0;
}
return 0;
}
int is_prime_1b(ull x) {
if(x<2) return 0;
if(x==2 || x==3 || x==5 || x==7) return 1;
if(x%2==0 || x%3==0 || x%5==0 || x%7==0) return 0;
if(x<121) return x!=1;
return is_SPRP(bases_2[(((long long)0xAFF7B4*x)>>7)&1023],(ull)x);
}
signed main(){
//入力の高速化用のコード
ios::sync_with_stdio(false);
cin.tie(nullptr);
//cout << fixed << setprecision(20);
//入力
ll N;
cin >> N;
rep(i,N){
ll a;
cin >> a;
cout << a << " " << is_prime_1b(a) << endl;
}
//cout << ans << endl;
return 0;
}