#include <bits/stdc++.h>
using namespace std;
#define F first
#define S second
#define R cin>>
#define Z class
#define ll long long
#define ln cout<<'\n'
#define in(a) insert(a)
#define pb(a) push_back(a)
#define pd(a) printf("%.10f\n",a)
#define mem(a) memset(a,0,sizeof(a))
#define all(c) (c).begin(),(c).end()
#define iter(c) __typeof((c).begin())
#define rrep(i,n) for(ll i=(ll)(n)-1;i>=0;i--)
#define REP(i,m,n) for(ll i=(ll)(m);i<(ll)(n);i++)
#define rep(i,n) REP(i,0,n)
#define tr(it,c) for(iter(c) it=(c).begin();it!=(c).end();it++)
template<Z A>void pr(A a){cout<<a;ln;}
template<Z A,Z B>void pr(A a,B b){cout<<a<<' ';pr(b);}
template<Z A,Z B,Z C>void pr(A a,B b,C c){cout<<a<<' ';pr(b,c);}
template<Z A,Z B,Z C,Z D>void pr(A a,B b,C c,D d){cout<<a<<' ';pr(b,c,d);}
template<Z A>void PR(A a,ll n){rep(i,n){if(i)cout<<' ';cout<<a[i];}ln;}
ll check(ll n,ll m,ll x,ll y){return x>=0&&x<n&&y>=0&&y<m;}
const ll MAX=1e9+7,MAXL=1LL<<61,dx[4]={-1,0,1,0},dy[4]={0,1,0,-1};
typedef pair<int,int> P;

set<ll> s[2];
vector<ll> v[2],a;
ll T,m;

void dfs(ll k,ll x,ll t) {
  if(x) s[t].in(x);
  if(k>=v[t].size()) return;
  rep(i,abs(m)) {
    dfs(k+1,x+v[t][k]*i,t);
  }
}

void Main() {
  cin >> T >> m;
  ll x=1;
  v[0].pb(x);
  do {
    x*=m;
    if(x>=0) v[0].pb(x);
    else v[1].pb(x);
  } while(x<MAX);
  rep(i,2) dfs(0,0,i);
  s[1].in(0);
  rep(i,T) {
    R x;
    a.pb(x);
  }
  vector<ll> b;
  tr(it,s[1]) b.pb(-*it);
  sort(all(b));
  rep(i,T) {
    if(!a[i]) {
      pr(0);
      continue;
    }
    rep(j,b.size()) {
      x=a[i]+b[j];
      if(s[0].count(x)) {
        ll c[33];
        mem(c);
        ll y=b[j];
        rrep(l,v[1].size()) {
          while(y>=-v[1][l]) {
            c[l*2+1]++;
            y+=v[1][l];
          }
        }
        rrep(l,v[0].size()) {
          while(x>=v[0][l]) {
            c[l*2]++;
            x-=v[0][l];
          }
        }
        rrep(ii,33) {
          if(c[ii]) {
            string t="";
            rrep(jj,ii+1) {
              t+=(char)(c[jj]+'0');
            }
            pr(t);
            break;
          }
        }
        break;
      }
    }
  }
}

int main(){ios::sync_with_stdio(0);cin.tie(0);Main();return 0;}