#pragma GCC target ("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2,bmi2,lzcnt,tune=native") //#pragma GCC target ("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native") #pragma GCC optimize("O3") //#pragma GCC optimize("unroll-loops") #include #include #include #include uint64_t modmul(uint64_t a, uint64_t b, uint64_t n) { return (uint64_t)(((__uint128_t)a) * ((__uint128_t)b) % ((__uint128_t)n)); } uint64_t modpow(uint64_t a, uint64_t b, uint64_t n) { if (b == 0) { return 1; } for (; (b & 1) == 0; b >>= 1) { a = modmul(a, a, n); } uint64_t t = a; for (b >>= 1; b != 0; b >>= 1) { a = modmul(a, a, n); if ((b & 1) == 1) { t = modmul(t, a, n); } } return t; } const uint64_t bases[] = {2,325,9375,28178,450775,9780504,1795265022}; bool miller_rabin(uint64_t n) { if (n == 2) { return true; } if (n < 2 || (n & 1) == 0) { return false; } uint64_t n1 = n - 1, d = n - 1; uint32_t s = 0; for (; (d & 1) == 0; d >>= 1) { s += 1; } for (const auto& base : bases) { uint64_t a = base; if (a >= n) { a %= n; if (a == 0) { continue; } } uint64_t t = modpow(a, d, n); if (t == 1) { continue; } for (uint32_t j = 1; t != n1; ++j) { if (j >= s) { return false; } t = modmul(t, t, n); } } return true; } int main(int argc, char *argv[]) { struct timespec start_time, end_time; clock_gettime(CLOCK_PROCESS_CPUTIME_ID, &start_time); int n; scanf("%d", &n); for(int i = 0; i < n; ++i) { unsigned long long x; scanf("%llu", &x); printf("%llu %d\n", x, miller_rabin((uint64_t)x) ? 1 : 0); } clock_gettime(CLOCK_PROCESS_CPUTIME_ID, &end_time); double d_sec = (double)(end_time.tv_sec - start_time.tv_sec) + (double)(end_time.tv_nsec - start_time.tv_nsec) / (1000 * 1000 * 1000); fprintf(stderr, "time:%f\n", d_sec); }