#include using namespace std; const long long MOD = 998244353; long long modpow(long long a, long long b, long long mod = MOD){ long long ans = 1; while (b > 0){ if (b % 2 == 1){ ans *= a; ans %= mod; } a *= a; a %= mod; b /= 2; } return ans; } long long modinv(long long a){ return modpow(a, MOD - 2); } vector mf = {1}; vector mfi = {1}; long long modfact(int n){ if (mf.size() > n){ return mf[n]; } else { for (int i = mf.size(); i <= n; i++){ long long next = mf.back() * i % MOD; mf.push_back(next); mfi.push_back(modinv(next)); } return mf[n]; } } long long modfactinv(int n){ if (mfi.size() > n){ return mfi[n]; } else { return modinv(modfact(n)); } } vector ntt(vector A, bool inv){ int N = A.size(); long long r = 3; if (inv){ r = modinv(r); } vector B(N); for (int i = N / 2; i > 0; i /= 2){ long long z = modpow(r, (MOD - 1) / (N / i)); long long z2 = 1; for (int j = 0; j < N; j += i * 2){ for (int k = 0; k < i; k++){ A[i + j + k] *= z2; A[i + j + k] %= MOD; B[j / 2 + k] = (A[j + k] + A[i + j + k]) % MOD; B[N / 2 + j / 2 + k] = (A[j + k] - A[i + j + k] + MOD) % MOD; } z2 = z2 * z % MOD; } swap(A, B); } if (inv){ int Ninv = modinv(N); for (int i = 0; i < N; i++){ A[i] = A[i] * Ninv % MOD; } } return A; } vector convolution(vector A, vector B, int d = -1){ int deg = A.size() + B.size() - 1; int N = 1; while (N < deg){ N *= 2; } A.resize(N); B.resize(N); A = ntt(A, false); B = ntt(B, false); vector ans(N); for (int i = 0; i < N; i++){ ans[i] = A[i] * B[i] % MOD; } ans = ntt(ans, true); if (d != -1){ deg = d; } ans.resize(deg); return ans; } int main(){ int N; long long M; cin >> N >> M; vector B(N), C(N); for (int i = 0; i < N; i++){ cin >> B[i] >> C[i]; } cout << 1 << endl; if (B[0] == B[1] && C[0] == C[1]){ cout << 0 << endl; } else { cout << (M * (M - 1)) % MOD << endl; } if (M == 2){ for (int i = 2; i < N; i++){ cout << 0 << endl; } } else { vector f; for (int i = M - 1; i >= 1; i--){ if ((M - 1) % i == 0){ f.push_back(i); } } vector mn(M); for (int i = 1; i < M; i++){ for (int j : f){ if (modpow(i, j, M) == 1){ mn[i] = j; } } } vector cnt(2, 0); for (int i = 1; i < M; i++){ int x = (M - 1) / mn[i] * (mn[i] - 1); cnt[x % 2] += M; } vector f1(N + 1); vector g(N + 1); f1[0] = 1; g[0] = 1; for (int i = 0; i < N; i++){ if (i >= cnt[1]){ f1[i + 1] = 0; } else { f1[i + 1] = f1[i] * ((cnt[1] - i) % MOD) % MOD; } if (i >= cnt[0]){ g[i + 1] = 0; } else { g[i + 1] = g[i] * ((cnt[0] - i) % MOD) % MOD; } } for (int i = 0; i <= N; i++){ f1[i] *= modfactinv(i); f1[i] %= MOD; g[i] *= modfactinv(i); g[i] %= MOD; } vector f2 = f1; for (int i = 1; i <= N; i += 2){ f1[i] = 0; } for (int i = 0; i <= N; i += 2){ f2[i] = 0; } vector h1 = convolution(f1, g); vector h2 = convolution(f2, g); int sum = 0; for (int i = 0; i < N; i++){ sum += (M - 1) / mn[C[i]] * (mn[C[i]] - 1) % 2; if (i >= 2){ if (i % 2 == 0 || sum % 2 == 0){ cout << h1[i + 1] * modfact(i + 1) % MOD << endl; } else { cout << h2[i + 1] * modfact(i + 1) % MOD << endl; } } } } }