#include <bits/stdc++.h>   using namespace std;   const int MAXN = 3e3 + 5;   const int mod = 998244353;   inline void add_mod(int &a, int b) {     a += b;     if (a >= mod) a -= mod;   }   inline void chk_mod(int &a) {     if (a < 0) a += mod;   }   inline long long pw(long long a, long long b) {     long long res = 1;     while (b) {       if (b & 1) res = res * a % mod;       a = a * a % mod;       b >>= 1;     }     return res;   }   long long pw2[MAXN], icoef[MAXN];   int n, c;   int a[MAXN];   namespace Subtask1 {   int sum[MAXN][MAXN], f[MAXN][MAXN], g[MAXN][MAXN];   void solve(void) {     for (int i = 1; i <= n; ++i) {       for (int j = 1; j <= c; ++j) sum[i][j] = sum[i - 1][j];       ++sum[i][a[i]];     }     for (int i = 1; i <= n; ++i) {       if (c == 1) {         f[i][i] = 1;         continue;       }       static int t[MAXN];       for (int j = 1; j <= c; ++j) t[j] = 0;       int cnt = 0, cur = 1;       for (int j = i; j <= n; ++j) {         int ct = ++t[a[j]];         if (ct == 1) {           ++cnt;           if (cnt == c) {             for (int k = 1; k <= c; ++k)               if (k != a[i]) cur = cur * (pw2[t[k]] - 1) % mod;             chk_mod(cur);           }         } else if (cnt == c && a[j] != a[i])           chk_mod(cur = cur * icoef[ct - 1] % mod * (pw2[ct] - 1) % mod);         if (cnt == c && a[j] != a[i])           f[i][j] = cur * icoef[ct] % mod * pw2[t[a[i]] - 1] % mod;       }     }     g[n + 1][0] = 1;     for (int i = n; i >= 1; --i) {       int mxp = (n - i + 1) / c;       for (int j = i; j <= n; ++j)         if (f[i][j])           for (int k = 1; k <= mxp; ++k)             g[i][k] = (g[i][k] + (long long)g[j + 1][k - 1] * f[i][j]) % mod;       g[i][0] = pw2[n - i];       for (int j = 1; j <= n; ++j) add_mod(g[i][0], mod - g[i][j]);       for (int j = 0; j <= n; ++j) add_mod(g[i][j], g[i + 1][j]);     }     add_mod(g[1][0], mod - 1);     for (int i = 0; i <= n; ++i) printf( %d  , g[1][i]);     exit(0);   }   }  // namespace Subtask1   namespace Subtask2 {   const int ALL = (1 << 12) + 5;   long long g[MAXN][ALL];   void solve(void) {     int all = (1 << c) - 1;     g[0][0] = 1;     for (int k = n; k >= 1; --k) {       int mxp = (n - k + 1) / c;       int cura = (1 << (a[k] - 1));       for (int i = mxp; i >= 0; --i)         for (int mask = all - 1; mask >= 0; --mask)           if (g[i][mask]) {             if ((mask | cura) == all)               g[i + 1][0] += g[i][mask];             else               g[i][mask | cura] += g[i][mask];           }       if (k % 20 == 0) {         for (int i = 0; i <= mxp; ++i)           for (int mask = 0; mask <= all; ++mask) g[i][mask] %= mod;       }     }     g[0][0] += mod - 1;     int mxp = n / c;     for (int i = 0; i <= n; ++i) {       if (i > mxp) {         printf( 0  );         continue;       }       int res = 0;       for (int mask = 0; mask < all; ++mask) add_mod(res, g[i][mask] % mod);       printf( %d  , res);     }     exit(0);   }   }  // namespace Subtask2   int main(void) {     pw2[0] = 1;     for (int i = 1; i < MAXN; ++i) pw2[i] = pw2[i - 1] * 2 % mod;     for (int i = 0; i < MAXN; ++i)       icoef[i] = pw((pw2[i] - 1 + mod) % mod, mod - 2);     scanf( %d%d , &n, &c);     for (int i = 1; i <= n; ++i) scanf( %d , &a[i]);     if (c <= 12)       Subtask2::solve();     else       Subtask1::solve();     return 0;   }