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 | mai |
提出日時 | 2017-10-22 01:26:58 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
WA
|
実行時間 | - |
コード長 | 6,024 bytes |
コンパイル時間 | 2,813 ms |
コンパイル使用メモリ | 219,080 KB |
実行使用メモリ | 6,820 KB |
最終ジャッジ日時 | 2024-11-18 15:46:46 |
合計ジャッジ時間 | 3,948 ms |
ジャッジサーバーID (参考情報) |
judge1 / judge5 |
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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 | 51 ms
6,820 KB |
testcase_01 | AC | 50 ms
6,816 KB |
testcase_02 | AC | 51 ms
6,820 KB |
testcase_03 | AC | 51 ms
6,820 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
#pragma GCC optimize ("O3") #pragma GCC target ("avx") #include "bits/stdc++.h" // define macro "/D__MAI" using namespace std; typedef long long int ll; #define xprintf(fmt,...) fprintf(stderr,fmt,__VA_ARGS__) #define debugv(v) {printf("L%d %s > ",__LINE__,#v);for(auto e:v){cout<<e<<" ";}cout<<endl;} #define debuga(m,w) {printf("L%d %s > ",__LINE__,#m);for(int x=0;x<(w);x++){cout<<(m)[x]<<" ";}cout<<endl;} #define debugaa(m,h,w) {printf("L%d %s >\n",__LINE__,#m);for(int y=0;y<(h);y++){for(int x=0;x<(w);x++){cout<<(m)[y][x]<<" ";}cout<<endl;}} #define ALL(v) (v).begin(),(v).end() #define repeat(cnt,l) for(auto cnt=0ll;(cnt)<(l);++(cnt)) #define iterate(cnt,b,e) for(auto cnt=(b);(cnt)!=(e);++(cnt)) #define MD 1000000007ll #define PI 3.1415926535897932384626433832795 #define EPS 1e-12 template<typename T1, typename T2> ostream& operator <<(ostream &o, const pair<T1, T2> p) { o << "(" << p.first << ":" << p.second << ")"; return o; } template<typename iterator> inline size_t argmin(iterator begin, iterator end) { return distance(begin, min_element(begin, end));} template<typename iterator> inline size_t argmax(iterator begin, iterator end) { return distance(begin, max_element(begin, end));} template<typename T> T& maxset(T& to, const T& val) { return to = max(to, val); } template<typename T> T& minset(T& to, const T& val) { return to = min(to, val); } mt19937_64 randdev(8901016); inline ll rand_range(ll l, ll h) { return uniform_int_distribution<ll>(l, h)(randdev); } #ifdef __MAI #define getchar_unlocked getchar #define putchar_unlocked putchar #endif #ifdef __VSCC #define getchar_unlocked _getchar_nolock #define putchar_unlocked _putchar_nolock #endif namespace { #define isvisiblechar(c) (0x21<=(c)&&(c)<=0x7E) class MaiScanner { public: template<typename T> void input_integer(T& var) { var = 0; T sign = 1; int cc = getchar_unlocked(); for (; cc<'0' || '9'<cc; cc = getchar_unlocked()) if (cc == '-') sign = -1; for (; '0' <= cc&&cc <= '9'; cc = getchar_unlocked()) var = (var << 3) + (var << 1) + cc - '0'; var = var*sign; } inline int c() { return getchar_unlocked(); } inline MaiScanner& operator>>(int& var) { input_integer<int>(var); return *this; } inline MaiScanner& operator>>(long long& var) { input_integer<long long>(var); return *this; } inline MaiScanner& operator>>(string& var) { int cc = getchar_unlocked(); for (; !isvisiblechar(cc); cc = getchar_unlocked()); for (; isvisiblechar(cc); cc = getchar_unlocked()) var.push_back(cc); return *this; } template<typename IT> void in(IT begin, IT end) { for (auto it = begin; it != end; ++it) *this >> *it; } }; class MaiPrinter { int stack_p; char stack[32]; public: template<typename T> void output_integer(T var) { if (var == 0) { putchar_unlocked('0'); return; } if (var < 0) { putchar_unlocked('-'); var = -var; } stack_p = 0; while (var) { stack[stack_p++] = '0' + (var % 10); var /= 10; } while (stack_p) putchar_unlocked(stack[--stack_p]); } MaiPrinter& operator<<(char c) { putchar_unlocked(c); return *this; } MaiPrinter& operator<<(int var) { output_integer<int>(var); return *this; } MaiPrinter& operator<<(long long var) { output_integer<long long>(var); return *this; } MaiPrinter& operator<(int var) { output_integer<int>(var); putchar_unlocked(' '); return *this; } MaiPrinter& operator<(long long var) { output_integer<long long>(var); putchar_unlocked(' '); return *this; } MaiPrinter& operator<<(const string& str) { const char* p = str.c_str(); const char* l = p + str.size(); while (p < l) putchar_unlocked(*p++); return *this; } }; } MaiScanner scanner; MaiPrinter printer; template<typename T> T powm(T x, T p, T mod=1000000007ll){ T y=1; x=x%mod; while (0<p){ if (p%2==1){ y=(y*x)%mod; } x=(x*x)%mod; p/=2; } return y; } // Miller–Rabin primality test // https://qiita.com/gushwell/items/ff9ed83ba55350aaa369 bool isprime_mr(ll val) { typedef __int128_t ll128; static ll test[12] = {2,3,5,7,11,13,17,19,23,29,31,37}; if (val <= 1 || val % 2 == 0) return val == 2; for (auto t : test) if (val % t == 0) return val == t; if (val < test[11]*test[11]) return true; ll d = val - 1, s = 0; while (!(d & 1)) { ++s; d >>= 1; } // d*2**s for (auto t : test) { ll z = powm(t, d, val); if (z == 1) continue; for (ll r = 0; r < s; ++r) { if (z == val - 1) goto l_isprime_mr_ct; z = (ll)((ll128)(z) * z % val); } return false; l_isprime_mr_ct:; } return true; } bool isprime(ll val) { if (val <= 1 || val % 2 == 0) return val == 2; for (ll d = 3; d*d <= val; d += 2) if (val % d == 0) return false; return true; } ll m, n, kei; int main() { scanner >> n; repeat(i, n) { ll a; scanner >> a; printer << a << ' ' << isprime_mr(a) << '\n'; } iterate(v, 100, 100000) { if (isprime(v) != isprime_mr(v)) cerr << v << ' ' << isprime(v) << isprime_mr(v) << endl, abort(); } return 0; }