#include <bits/stdc++.h>   using namespace std;   const int maxn = 1e5, maxf = 1 << 18;   const int mod = 998244353;   namespace usual {   int fac[maxf + 5], ifac[maxf + 5];   int add(int ta, int tb) { return ta + tb >= mod ? ta + tb - mod : ta + tb; }   int sub(int ta, int tb) { return ta < tb ? ta - tb + mod : ta - tb; }   int ksm(long long ta, int tp) {     int s = 1;     for (; tp; ta = ta * ta % mod, tp >>= 1)       if (tp & 1) s = ta * s % mod;     return s;   }   void make_fac(int len) {     fac[0] = 1;     for (int i = 1; i <= len; i++) fac[i] = 1ll * fac[i - 1] * i % mod;     ifac[len] = ksm(fac[len], mod - 2);     for (int i = len; i; i--) ifac[i - 1] = 1ll * ifac[i] * i % mod;   }   int inv(int i) { return 1ll * ifac[i] * fac[i - 1] % mod; }   }  // namespace usual   using namespace usual;   namespace poly {   int pa[maxf + 5], pb[maxf + 5];   int rev[maxf + 5], g[maxf + 5], invg[maxf + 5];   void Cpy(int *A, int *B, int len) {     for (int i = 0; i < len; i++) A[i] = B[i];   }   void Rev(int *A, int len) {     for (int i = 0; i < len - i; i++) swap(A[i], A[len - i]);   }   void Cl(int *A, int len) { memset(A, 0, len * 4); }   void make_tt(int *T, int len, int da) {     int tmp = ksm(da, (mod - 1) / len);     for (int i = len >> 1; i; i >>= 1, tmp = 1ll * tmp * tmp % mod) {       T[i] = 1;       for (int j = 1; j < i; j++) T[i + j] = 1ll * T[i + j - 1] * tmp % mod;     }   }   void pre_poly(int len) {     make_tt(g, len, 3);     make_tt(invg, len, 332748118);   }   void make_rev(int len) {     for (int i = 1; i < len; i++)       rev[i] = (rev[i >> 1] >> 1) | (i & 1 ? len >> 1 : 0);   }   void NTT(int *T, int len, bool ok) {     int *tt, ny;     for (int i = 1; i < len; i++)       if (i < rev[i]) swap(T[i], T[rev[i]]);     for (int i = 1; i < len; i <<= 1) {       tt = ok ? g + i : invg + i;       for (int j = 0; j < len; j += i << 1)         for (int l = 0; l < i; l++) {           ny = 1ll * T[i + j + l] * tt[l] % mod;           T[i + j + l] = sub(T[j + l], ny);           T[j + l] = add(T[j + l], ny);         }     }   }   void Mult(int *A, int *B, int *C, int len) {     Cpy(pa, A, len);     Cpy(pb, B, len);     make_rev(len);     NTT(pa, len, 1);     NTT(pb, len, 1);     for (int i = 0; i < len; i++) pa[i] = 1ll * pa[i] * pb[i] % mod;     NTT(pa, len, 0);     int invn = ksm(len, mod - 2);     for (int i = 0; i < len; i++) C[i] = 1ll * pa[i] * invn % mod;   }   void Inv(int *T, int *Ans, int len) {     static int tf[maxf + 5], tg[maxf + 5];     int invn;     Cl(tf, len << 1);     Cl(tg, len << 1);     Cl(Ans, len << 1);     Ans[0] = ksm(T[0], mod - 2);     for (int i = 2; i <= len; i <<= 1) {       Cpy(tf, Ans, i);       Cpy(tg, T, i);       make_rev(i << 1);       NTT(tf, i << 1, 1);       NTT(tg, i << 1, 1);       for (int j = 0; j < i << 1; j++)         tf[j] = 1ll * tf[j] * sub(2, 1ll * tf[j] * tg[j] % mod) % mod;       NTT(tf, i << 1, 0);       invn = ksm(i << 1, mod - 2);       for (int j = 0; j < i; j++) Ans[j] = 1ll * tf[j] * invn % mod;     }   }   void diff(int *T, int len) {     for (int i = 1; i < len; i++) T[i - 1] = 1ll * T[i] * i % mod;     T[len - 1] = 0;   }   void inte(int *T, int len) {     for (int i = len - 1; i; i--) T[i] = 1ll * T[i - 1] * inv(i) % mod;     T[0] = 0;   }   void Ln(int *T, int *Ans, int len) {     static int invT[maxf + 5];     Cl(invT, len << 1);     Cl(Ans, len << 1);     Inv(T, invT, len);     Cpy(Ans, T, len);     diff(Ans, len);     Mult(Ans, invT, Ans, len << 1);     Cl(Ans + len, len);     inte(Ans, len);   }   void Exp(int *T, int *Ans, int len) {     static int lnT[maxf + 5];     Cl(Ans, len << 1);     Ans[0] = 1;     for (int i = 2; i <= len; i <<= 1) {       Ln(Ans, lnT, i);       for (int j = 0; j < i; j++) lnT[j] = sub(T[j], lnT[j]);       lnT[0] = add(lnT[0], 1);       Mult(Ans, lnT, Ans, i << 1);       Cl(Ans + i, i);     }   }   void Ksm(int *T, int *Ans, int len, int tp) {     static int ts[maxf + 5];     Ln(T, ts, len);     for (int i = 0; i < len; i++) ts[i] = 1ll * ts[i] * tp % mod;     Exp(ts, Ans, len);   }   }  // namespace poly   using namespace poly;   int n, len = 1;   int F[maxf + 5];   int T[maxf + 5], H[maxf + 5];   int powH[maxf + 5], invH[maxf + 5];   int S1[maxf + 5], S2[maxf + 5];   void make_F() {     for (int i = 0; i <= n; i++) T[i] = sub(0, ifac[i + 2]);     Inv(T, F, len);     for (int i = 0; i <= n; i++) F[i] = F[i + 1];     Cl(F + n - 1, len - n + 1);   }   void make_H() {     Cl(T, len);     T[0] = 1;     T[1] = 1;     Ln(T, H, len);     for (int i = 0; i <= n; i++) T[i] = H[i + 1];     Inv(T, H, len);     Cl(H + n + 1, len - n - 1);     Ksm(H, powH, len, n - 1);     Cl(powH + n + 1, len - n - 1);     for (int i = 0; i <= n; i++) T[i] = sub(0, H[i + 1]);     T[n] = 0;     Inv(T, invH, len);     Cl(invH + n + 1, len - n - 1);     Cpy(S1, H, n + 1);     diff(S1, n + 1);     Mult(powH, invH, S2, len << 1);     Cl(S2 + n + 1, (len << 1) - n - 1);     Mult(S1, S2, S1, len << 1);     Cl(S1 + n + 1, (len << 1) - n - 1);     Mult(S1, invH, S1, len << 1);     Cl(S1 + n + 1, (len << 1) - n - 1);     n -= 2;     for (int i = 1; i <= n; i++)       F[i] = sub(F[i], 1ll * add(S1[i + 1], 1ll * (n - i + 1) * S2[i + 1] % mod) *                            inv(n + 1) % mod);     F[0] = n;   }   int main() {     scanf( %d , &n);     if (n == 1) {       printf( 1 n );       return 0;     }     n += 2;     while (len <= n + 1) len <<= 1;     make_fac(len << 1);     pre_poly(len << 1);     make_F();     make_H();     for (int i = 0; i <= n; i++)       if (i & 1)         T[i] = sub(0, ifac[i]);       else         T[i] = ifac[i];     for (int i = 0; i <= n; i++) F[i] = 1ll * F[i] * fac[i] % mod;     Rev(F, n + 1);     Cl(T + n + 1, (len << 1) - n - 1);     Mult(F, T, F, len << 1);     for (int i = 0; i < n; i++)       printf( %lld  , 1ll * fac[n] * ifac[i] % mod * F[n - i + 1] % mod);     printf(  n );     return 0;   }