#include <bits/stdc++.h>
using namespace std;
#if __has_include(<atcoder/all>)
#include <atcoder/all>
using namespace atcoder;
#endif
using ll = long long;
using ld = long double;
using ull = unsigned long long;
#define endl "\n"
typedef pair<int, int> Pii;
#define REP(i, n) for (int i = 0; i < (n); ++i)
#define REP3(i, m, n) for (int i = (m); (i) < int(n); ++ (i))
#define FOR(i,a,b) for(ll i=a;i<=(ll)(b);i++)
#define rep(i,a,b) for(int i=(int)(a);i<(int)(b);i++)
#define ALL(x) begin(x), end(x)
#define rrep(i,a,b) for(int i=a;i>=b;i--)
#define fore(i,a) for(auto &i:a)
#define all(s) (s).begin(),(s).end()
#define drep2(i, m, n) for (int i = (m)-1; i >= (n); --i)
#define drep(i, n) drep2(i, n, 0)
#define rever(vec) reverse(vec.begin(), vec.end())
#define sor(vec) sort(vec.begin(), vec.end())
#define fi first
#define se second
#define pb push_back
#define P pair<ll,ll>
#define PQminll priority_queue<ll, vector<ll>, greater<ll>>
#define PQmaxll priority_queue<ll,vector<ll>,less<ll>>
#define PQminP priority_queue<P, vector<P>, greater<P>>
#define PQmaxP priority_queue<P,vector<P>,less<P>>
#define NP next_permutation
typedef string::const_iterator State;
class ParseError {};
//const ll mod = 1000000009;
//const ll mod = 998244353;
//const ll mod = 1000000007;
const ll mod = 120586241;
const ll inf = 4100000000000000000ll;
const ld eps = ld(0.00000000001);
//static const long double pi = 3.141592653589793;
template<class T>void vcin(vector<T> &n){for(int i=0;i<int(n.size());i++) cin>>n[i];}
template<class T,class K>void vcin(vector<T> &n,vector<K> &m){for(int i=0;i<int(n.size());i++) cin>>n[i]>>m[i];}
template<class T>void vcout(vector<T> &n){for(int i=0;i<int(n.size());i++){cout<<n[i]<<" ";}cout<<endl;}
template<class T>void vcin(vector<vector<T>> &n){for(int i=0;i<int(n.size());i++){for(int j=0;j<int(n[i].size());j++){cin>>n[i][j];}}}
template<class T>void vcout(vector<vector<T>> &n){for(int i=0;i<int(n.size());i++){for(int j=0;j<int(n[i].size());j++){cout<<n[i][j]<<" ";}cout<<endl;}cout<<endl;}
void yes(bool a){cout<<(a?"yes":"no")<<endl;}
void YES(bool a){cout<<(a?"YES":"NO")<<endl;}
void Yes(bool a){cout<<(a?"Yes":"No")<<endl;}
void possible(bool a){ cout<<(a?"possible":"impossible")<<endl; }
void Possible(bool a){ cout<<(a?"Possible":"Impossible")<<endl; }
void POSSIBLE(bool a){ cout<<(a?"POSSIBLE":"IMPOSSIBLE")<<endl; }
template<class T>auto min(const T& a){ return *min_element(all(a)); }
template<class T>auto max(const T& a){ return *max_element(all(a)); }
template<class T,class F>void print(pair<T,F> a){cout<<a.fi<<" "<<a.se<<endl;}
template<class T>bool chmax(T &a, const T &b) { if (a<b) { a=b; return 1; } return 0;}
template<class T>bool chmin(T &a, const T &b) { if (b<a) { a=b; return 1; } return 0;}
template<class T> void ifmin(T t,T u){if(t>u){cout<<-1<<endl;}else{cout<<t<<endl;}}
template<class T> void ifmax(T t,T u){if(t>u){cout<<-1<<endl;}else{cout<<t<<endl;}}
ll fastgcd(ll u,ll v){ll shl=0;while(u&&v&&u!=v){bool eu=!(u&1);bool ev=!(v&1);if(eu&&ev){++shl;u>>=1;v>>=1;}else if(eu&&!ev){u>>=1;}else if(!eu&&ev){v>>=1;}else if(u>=v){u=(u-v)>>1;}else{ll tmp=u;u=(v-u)>>1;v=tmp;}}return !u?v<<shl:u<<shl;}
ll modPow(ll a, ll n, ll mod) { if(mod==1) return 0;ll ret = 1; ll p = a % mod; while (n) { if (n & 1) ret = ret * p % mod; p = p * p % mod; n >>= 1; } return ret; }
vector<ll> divisor(ll x){ vector<ll> ans; for(ll i = 1; i * i <= x; i++){ if(x % i == 0) {ans.push_back(i); if(i*i!=x){ ans.push_back(x / ans[i]);}}}sor(ans); return ans; }
ll pop(ll x){return __builtin_popcountll(x);}
ll poplong(ll x){ll y=-1;while(x){x/=2;y++;}return y;}
P hyou(P a){ll x=fastgcd(abs(a.fi),abs(a.se));a.fi/=x;a.se/=x;if(a.se<0){a.fi*=-1;a.se*=-1;}return a;}
P Pplus(P a,P b){ return hyou({a.fi*b.se+b.fi*a.se,a.se*b.se});}
P Ptimes(P a,ll b){ return hyou({a.fi*b,a.se});}
P Ptimes(P a,P b){ return hyou({a.fi*b.fi,a.se*b.se});}
P Pminus(P a,P b){ return hyou({a.fi*b.se-b.fi*a.se,a.se*b.se});}
P Pgyaku(P a){ return hyou({a.se,a.fi});}

void cincout(){
  ios::sync_with_stdio(false);
    std::cin.tie(nullptr);
  cout<< fixed << setprecision(15);
}
using mint = modint;
mint x;
ll sum(ll x){
  ll res=0;
  while(x){
    res+=x/10;
    x/=10;
  }
  return res;
}
void _ntt(vector<mint> &a,ll sign){
  ll n=a.size();
  ll g=6;
  ll h=modPow(g,(mod-1)/n,mod);
  if(sign==-1) h=modPow(h,mod-2,mod);
  ll i=0;
  for(int j=1;j<n-1;j++){
    for(int k=(n>>1);k>(i^=k);k>>=1){
    }
    if(j<i) swap(a[i],a[j]);
  }
  for(int m=1;m<n;m*=2){
    ll m2=2*m;
    mint base=modPow(h,n/m2,mod);
    mint w=1;
    for(int x=0;x<m;x++){
      for(int s=x;s<n;s+=m2){
        mint u=a[s];
        mint d=a[s+m]*w;
        a[s]=u+d;
        a[s+m]=u-d;
      }
      w*=base;
    }
  }
}
vector<vector<mint>> twofft(vector<vector<mint>> a,vector<vector<mint>> b){
  int n=a.size();
  int m=a[0].size();
  int p=1;
  while(p<m*2) p*=2;
  m=p;
 // cout<<m<<endl;
  for(int i=0;i<n;i++){
    while(a[i].size()!=m){
      a[i].pb(0);
      b[i].pb(0);
    }
    _ntt(a[i],1);
    _ntt(b[i],1);
  }
  vector<vector<mint>> c(2*n,vector<mint>(m));
  for(int i=0;i<n;i++){
    for(int j=0;j<n;j++){
      for(int k=0;k<m;k++){
        c[i+j][k]+=a[i][k]*b[j][k];
      }
    }
  }
  for(int i=0;i<2*n;i++){
    _ntt(c[i],-1);
    for(int j=0;j<m;j++) c[i][j]/=p;
  }
  return c;
}
vector<mint> solve(ll n,ll m,ll p,vector<mint> f){
  if(n==m){
    ll u=f.size();
    vector<vector<mint>> f2(n+1,vector<mint>(u));
    for(int i=0;i<u;i++) f2[sum(i)%(n+1)][i]+=f[i];
    f2=twofft(f2,f2);
    vector<mint> res(u);
    for(int i=0;i<u;i++){
      ll k=sum(i)%(n+1);
      while(k<f2.size()){
        res[i]+=f2[k][i];
        k+=n+1;
      }
    }
    return res;
  }
  else{
    if(n==1){
      vector<mint> res(10);
      while(p){
        if(p%2){
          vector<mint> res2(10);
          for(int i=0;i<10;i++){
            for(int j=0;j<10;j++){
              res2[(i+j)%10]+=res[i]*f[j];
            }
          }
          res=res2;
        }
        vector<mint> g(10);
        for(int i=0;i<10;i++){
          for(int j=0;j<10;j++){
            g[(i+j)%10]+=f[i]*f[j];
          }
        }
        f=g;
        p/=2;
      }
      return res;
    }
    else{
      ll u=f.size();
      vector<mint> xp(100);
      xp[0]=1;
      for(int i=1;i<100;i++) xp[i]=xp[i-1]*x;
      vector<vector<mint>> f2(10,vector<mint>(u/10));
      for(int i=0;i<10;i++){
        for(int j=0;j<u;j++){
          f2[i][j%(u/10)]+=f[j]*xp[(j/(u/10))*i];
        }
      }
      for(int i=0;i<10;i++){
        f2[i]=solve(n-1,m,p,f2[i]);
      }
      vector<mint> f3(u);
      for(int i=0;i<10;i++){
        for(int j=0;j<10;j++){
          for(int k=0;k<u/10;k++){
            f3[(u/10)*i+k]+=f2[j][k]*xp[(j*(10-i))];
          }
        }
      }
      for(int i=0;i<u;i++) f3[i]/=10;
      return f3;
    }
  }
}
int main() {
  cincout();
  mint::set_mod(120586241);
  x=9142366;
  ll n,k,m,t;
  cin>>n>>k>>m>>t;
  assert(m==2);
  ll a=1;
  for(int i=0;i<k;i++) a*=10;
  vector<mint> f(a);
  for(int i=0;i<n;i++){
    ll p;
    cin>>p;
    f[p]++;
  }
  vector<mint> ans=solve(k,t,m,f);
  for(int i=0;i<ans.size();i++) cout<<ans[i].val()<<endl;
}