#include <bits/stdc++.h>
using namespace std;
#define pii pair<int,int>
#define pip pair<int,pii>
#define pb push_back
#define mp make_pair
#define ff first
#define ss second
#define MOD 1000000007
typedef long long ll;
//int dx[]={1,-1,0,0};
//int dy[]={0,0,1,-1};
struct node
{
string s;
int mod;
};
int visited[20000+10];
void bfs(int num)
{
queue<node> q;
node temp,hold,poss1,poss2;
temp.s="1";
temp.mod=atoi(temp.s.c_str())%num;
if(temp.mod==0)
{
cout<<num<<endl;
return;
}
q.push(temp);
visited[temp.mod]=1;
while(!q.empty())
{
hold=q.front();
q.pop();
if(hold.mod==0)
{
cout<<hold.s<<endl;
break;
}
poss1.s=hold.s;
poss1.s+='0';
poss1.mod=atoi(poss1.s.c_str())%num;
if(!visited[poss1.mod])
{
visited[poss1.mod]=1;
q.push(poss1);
}
poss2.s=hold.s;
poss2.s+='1';
poss2.mod=atoi(poss2.s.c_str())%num;
if(!visited[poss2.mod])
{
visited[poss2.mod]=1;
q.push(poss2);
}
}
}
int main()
{
int t;
scanf("%d",&t);
while(t--)
{
int n;
scanf("%d",&n);
for(int i=0;i<20000+4;i++)
visited[i]=0;
bfs(n);
}
return 0;
}
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