MOD = 998244353 PHI = MOD - 1 def main(): import sys input = sys.stdin.read data = input().split() n = int(data[0]) a = list(map(int, data[1:n+1])) current = [x % MOD for x in a] k = min(23, n-1) for step in range(1, k+1): expon = 1 << (step-1) multiplier = pow(10, expon, MOD) next_current = [] for j in range(n): nj = (j + 1) % n val = (current[j] * multiplier + current[nj]) % MOD next_current.append(val) current = next_current remaining_steps = (n-1) - k if remaining_steps > 0: m = remaining_steps max_fact = m fact = [1] * (max_fact + 1) for i in range(1, max_fact + 1): fact[i] = fact[i-1] * i % MOD inv_fact = [1] * (max_fact + 1) inv_fact[max_fact] = pow(fact[max_fact], MOD-2, MOD) for i in range(max_fact -1, -1, -1): inv_fact[i] = inv_fact[i+1] * (i+1) % MOD def comb(m, k): if k <0 or k > m: return 0 return fact[m] * inv_fact[k] % MOD * inv_fact[m - k] % MOD G = [0] * n for k in range(0, m + 1): pos = k % n G[pos] = (G[pos] + comb(m, k)) % MOD def ntt(a, invert=False): n = len(a) rev = list(range(n)) for i in range(1, n): rev[i] = rev[i >> 1] >> 1 if i & 1: rev[i] |= n >> 1 if i < rev[i]: a[i], a[rev[i]] = a[rev[i]], a[i] log_n = (n).bit_length() - 1 root = pow(3, (MOD - 1) // n, MOD) if not invert else pow(3, MOD-1 - (MOD -1) // n, MOD) roots = [1] * (n // 2) for i in range(1, len(roots)): roots[i] = roots[i-1] * root % MOD for m in range(1, log_n + 1): m_h = 1 << (m-1) m_len = m_h << 1 for i in range(0, n, m_len): for j in range(m_h): u = a[i + j] v = a[i + j + m_h] * roots[j * (n >> m)] % MOD a[i + j] = (u + v) % MOD a[i + j + m_h] = (u - v) % MOD if invert: inv_n = pow(n, MOD-2, MOD) for i in range(n): a[i] = a[i] * inv_n % MOD return a size = 1 while size < n: size <<= 1 size <<= 1 a_pad = current[:] + [0] * (size - n) g_pad = G[:] + [0] * (size - n) a_pad_ntt = ntt(a_pad.copy()) g_pad_ntt = ntt(g_pad.copy()) conv_ntt = [ (a * b) % MOD for a, b in zip(a_pad_ntt, g_pad_ntt)] conv = ntt(conv_ntt, invert=True) result = [0] * n for i in range(n): result[i] = (conv[i] + conv[i + n]) % MOD current = result for x in current: print(x) if __name__ == '__main__': main()