#include #include #include #include #include #include #include #include #include #include #include #include #include #include #define INF 1000000000 using namespace std; typedef long long ll; bool isPrime(ll n) { for (ll i = 2; i * i <= n; i++) { if (n % i == 0) return false; } return true; } // extgcd ll extgcd(ll a, ll b, ll& x, ll& y) { ll d = a; if (b != 0) { d = extgcd(b, a % b, y, x); y -= (a / b) * x; } else { x = 1; y = 0; } return d; } // mod_inverse ll mod_inverse(ll a, ll m) { ll x, y; extgcd(a, m, x, y); return (m+x%m) % m; } int main(void) { int T; cin >> T; while (T--) { int N, M; cin >> N >> M; if (N >= M) { cout << 0 << endl; continue; } if (M <= 2*100000) { ll ans = 1; for (ll i = 1; i <= N; i++) { ans = (ans*i) % M; } cout << ans % M << endl; continue; } if (!isPrime(M)) { cout << 0 << endl; } else { ll ans = M-1; for (ll i = N+1; i <= M-1; i++) { ans = (ans * mod_inverse(i, M)) % M; } cout << ans << endl; } } return 0; }