#include #include using namespace std; using namespace atcoder; using ll=long long; int garner(vector&r,vector&m,int M){ int n=r.size(); vectork(n); for(int i=0;iA; vector solve(int P,int c){ modint::set_mod(P); modint g=internal::primitive_root_constexpr(P); modint z=g.pow(P/c); vectorans(S+1); modint zeta=1; for(int zeta_i=0;zeta_itemp(S+1); temp[0]=1; int sum=0; for(int i=0;i=0;j--)temp[j+A[i]]+=temp[j]*zeta; sum+=A[i]; } for(int i=0;i<=S;i++)ans[i]=(ans[i]+temp[i].val())%P; } ll invc=(modint(1)/c).val(); for(int i=0;i<=S;i++)ans[i]=ans[i]*invc%P; ans[0]=0; return ans; } int main(){ int N,C,mod; cin >> N >> mod >> C; A.resize(N); for(int i=0;i> A[i]; for(int i=0;i=N?C:N-C; int P=1000000000/CC*CC+1; vectorPs(4); vector>ans(4); for(int i=0;i<4;i++,P+=CC){ while(!internal::is_prime_constexpr(P))P+=CC; Ps[i]=P; ans[i]=solve(P,CC); } for(int i=1;i<=S;i++){ vectorr(4); for(int j=0;j<4;j++)r[j]=ans[j][2*C>=N?i:S-i]; int ret=garner(r,Ps,mod); if(i==S&&2*C==N)ret=(ret-1+mod)%mod; if(i!=1)cout << ' '; cout << ret; } cout << '\n'; }