#include long long mod_num = 998244353LL; long long root = 3LL; int length = 998244352; long long inverse_root = 0LL; long long inverse_l = 0LL; long long power_mod (long long a, long long b, long long p) { long long ans = 0LL; a %= p; if (b <= 0LL) { return 1LL; } ans = power_mod(a, b/2LL, p); ans = (ans * ans) % p; if (b%2LL == 1LL) { ans = (ans * a) % p; } return ans; } void setup_ntt (int l) { int tmp_length = 2; while(tmp_length < 2*l) { tmp_length *= 2; } root = power_mod(root, length / tmp_length, mod_num); inverse_root = power_mod(root, mod_num-2LL, mod_num); inverse_l = power_mod((long long) tmp_length, mod_num-2LL, mod_num); length = tmp_length; return; } void ntt_2n_bit_inverse_rec (long long *a, long long root, int l) { long long next_root = (root*root)%mod_num; long long alpha = 1LL; if (l <= 1) { return; } for (int i = 0; i < l/2; i++) { a[i] = (a[i] + a[i+l/2]) % mod_num; a[i+l/2] = (a[i] + mod_num - ((2LL * a[i+l/2]) % mod_num)) % mod_num; a[i+l/2] = (alpha * a[i+l/2]) % mod_num; alpha = (alpha * root) % mod_num; } ntt_2n_bit_inverse_rec(a, next_root, l/2); ntt_2n_bit_inverse_rec(a+l/2, next_root, l/2); return; } void ntt_2n (long long *a, long long *work, long long root, int l) { for (int i = 0; i < l; i++) { work[i] = a[i]; } ntt_2n_bit_inverse_rec(work, root, l); for (int i = 0; i < l; i++) { int j = 0; int b = l / 2; int rem = i; while (rem > 0) { j += b * (rem%2); b /= 2; rem /= 2; } a[j] = work[i]; } return; } void conv_mod (long long *a1, long long *a2, long long *ans, long long *work1, long long *work2) { for(int i = 0; i < length; i++) { work1[i] = a1[i]; work2[i] = a2[i]; } ntt_2n(work1, ans, root, length); ntt_2n(work2, ans, root, length); for(int i = 0; i < length; i++) { ans[i] = (work1[i] * work2[i]) % mod_num; } ntt_2n(ans, work1, inverse_root, length); for(int i = 0; i < length; i++) { ans[i] = (ans[i] * inverse_l) % mod_num; } return; } void func (int m, int l, long long *ans, long long *work1, long long *work2, long long *work3, long long *work4, long long pow2n, long long *pow2, long long *fact, long long *invf) { long long pow = 1LL; if (m < 1) { ans[0] = 1LL; for (int i = 1; i < length; i++) { ans[i] = 0LL; } return; } func(m/2, l, ans, work1, work2, work3, work4, pow2n, pow2, fact, invf); for (int i = 0; i <= l; i++) { long long tmp = (ans[i]*invf[i])%mod_num; work1[i] = tmp; work2[i] = (tmp*pow)%mod_num; pow = (pow*pow2[m/2])%mod_num; } for (int i = l+1; i < length; i++) { work1[i] = 0LL; work2[i] = 0LL; } conv_mod(work1, work2, ans, work3, work4); for (int i = 0; i <= l; i++) { ans[i] *= fact[i]; ans[i] %= mod_num; } for (int i = l+1; i < length; i++) { ans[i] = 0LL; } if (m%2 == 1) { pow = pow2[m-1]; for (int i = 0; i <= l; i++) { work1[i] = (ans[i]*invf[i])%mod_num; } work2[0] = pow2n; for (int i = 1; i <= l; i++) { work2[i] = (pow*invf[i])%mod_num; pow = (pow*pow2[m-1])%mod_num; } for (int i = l+1; i < length; i++) { work1[i] = 0LL; work2[i] = 0LL; } conv_mod(work1, work2, ans, work3, work4); for (int i = 0; i <= l; i++) { ans[i] *= fact[i]; ans[i] %= mod_num; } for (int i = l+1; i < length; i++) { ans[i] = 0LL; } } return; } int main () { int n = 0; int m = 0; int l = 0; int res = 0; long long ans[300000] = {}; long long work[4][300000] = {}; long long pow2n = 0LL; long long pow2[100001] = {}; long long fact[100001] = {}; long long invf[100001] = {}; res = scanf("%d", &n); res = scanf("%d", &m); res = scanf("%d", &l); pow2n = power_mod(2LL, (long long)n, mod_num); pow2[0] = 1LL; for (int i = 0; i < m; i++) { pow2[i+1] = (pow2[i]*2LL)%mod_num; } fact[0] = 1LL; for (int i = 0; i < l; i++) { fact[i+1] = fact[i]; fact[i+1] *= (long long) (i+1); fact[i+1] %= mod_num; } invf[l] = power_mod(fact[l], mod_num-2LL, mod_num); for (int i = l; i > 0; i--) { invf[i-1] = invf[i]; invf[i-1] *= (long long)i; invf[i-1] %= mod_num; } setup_ntt(l+1); func(m, l, ans, work[0], work[1], work[2], work[3], pow2n, pow2, fact, invf); for (int i = 0; i < l; i++) { printf("%lld\n", ans[i+1]); } return 0; }