#include #include #include using namespace std; int64_t extgcd(long a, long b, long &x, long &y) { for (int64_t u = y = 1, v = x = 0; a; ) { int64_t q = b / a; swap(x -= q * u, u); swap(y -= q * v, v); swap(b -= q * a, a); } return b; } int64_t mod_inverse(long a, long mod) { int64_t x, y; extgcd(a, mod, x, y); x %= mod; if(x < 0) x+= mod; return x; } bool is_prime(int64_t N) { if(N == 1) return false; for(int64_t i = 2; i * i <= N; i++) { if(N % i == 0) return false; } return true; } int main() { int32_t T; cin >> T; while(T--) { int64_t N, M; cin >> N >> M; if(N <= 1000000) { int64_t r = 1; for(int64_t i = 1; i <= N; i++) { r = r * i % M; } cout << r % M << endl; } else if(!is_prime(M) || N >= M) { // Mが素数じゃない → 0 cout << 0 << endl; }else{ int64_t r = M - 1; // (M - 1)! = M - 1 % M for(int64_t i = M - 1; i > N; i--) { r = r * mod_inverse(i, M) % M; } cout << r << endl; } } }