#include #include using namespace std; int n, m; void read() { cin >> n >> m; } vector getFactor(int M) { vector factor; for (int i = 2; i * i <= M; ++i) if (M % i == 0) { while (M % i == 0) { M /= i; } factor.push_back(i); } if (M > 1) factor.push_back(M); return factor; } int modpow(int p, int nMul, int mod) { int ret = 1; while (nMul) { if (nMul & 1) ret = 1LL * ret * p % mod; ret = 1LL * ret * ret % mod; nMul >>= 1; } return ret; } // mod: 素数 int inv(int num, int mod) { return modpow(num, mod - 2, mod); } void work() { if (n >= m) { cout << 0 << endl; return; } vector factor = getFactor(m); if (factor.size() == 1) { int toInv = 1; for (int i = m - 1; i > n; --i) toInv = 1LL * toInv * i % m; cout << 1LL * (m - 1) * inv(toInv, m) % m << endl; } else if (n > factor.back()) { cout << 0 << endl; } else { int ans = 1; for (int i = 1; i <= n; ++i) { ans = 1LL * ans * i % m; if (ans == 0) break; } cout << ans << endl; } } int main() { int cases; cin >> cases; for (int i = 0; i < cases; ++i) { read(); work(); } return 0; }