#include <bits/stdc++.h>
using namespace std;
#define REP(i,n) for(int i=0;i<(int)(n);i++)

int t,b;

int main(){
    scanf("%d%d",&t,&b);
    b = -b;
    while(t--){
        int n;
        scanf("%d", &n);
        if(n==0){
            puts("0"); continue;
        }
        string s;
        int bb = 1;
        while(n){
            int md = bb * b;
            int x = n%md;
            if(x<0)x += md;
            int c = x/bb;
            if(s.size()%2==0){
                s += string(1,'0'+c);
                n -= c*bb;
            }else{
                c = (b-c)%b;
                s += string(1,'0'+c);
                n += c*bb;
            }
            bb = bb*b;
        }
        reverse(s.begin(), s.end());
        puts(s.c_str());
    }
    return 0;
}