#include using namespace std; const long long MOD = 998244353; long long modpow(long long a, long long b){ 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 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 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); return ans; } int main(){ int N; cin >> N; vector a(N); for (int i = 0; i < N; i++){ cin >> a[i]; } long long X = 10; queue> Q; for (int i = 0; i < N - 1; i++){ Q.push(vector({1, X})); X = X * X % MOD; } while (Q.size() >= 2){ vector f1 = Q.front(); Q.pop(); vector f2 = Q.front(); Q.pop(); Q.push(convolution(f1, f2)); } vector f = Q.front(); Q.pop(); vector g(N * 2 - 1); for (int i = 0; i < N * 2 - 1; i++){ g[i] = a[i % N]; } vector h = convolution(f, g); for (int i = N - 1; i < N * 2 - 1; i++){ cout << h[i] << endl; } }