Problem: Let's say string s has period k if s_i = s_{i + k} for all i from 1 to |s| - k (|s| means length of string s) and k is the minimum positive integer with this property.

Some examples of a period: for s="0101" the period is k=2, for s="0000" the period is k=1, for s="010" the period is k=2, for s="0011" the period is k=4.

You are given string t consisting only of 0's and 1's and you need to find such string s that:

  1. String s consists only of 0's and 1's; 
  2. The length of s doesn't exceed 2 ⋅ |t|; 
  3. String t is a subsequence of string s; 
  4. String s has smallest possible period among all strings that meet conditions 1—3. 



Let us recall that t is a subsequence of s if t can be derived from s by deleting zero or more elements (any) without changing the order of the remaining elements. For example, t="011" is a subsequence of s="10101".

Input

The first line contains single integer T (1 ≤ T ≤ 100) — the number of test cases.

Next T lines contain test cases — one per line. Each line contains string t (1 ≤ |t| ≤ 100) consisting only of 0's and 1's.

Output

Print one string for each test case — string s you needed to find. If there are multiple solutions print any one of them.

Example

Input


4
00
01
111
110


Output


00
01
11111
1010

Note

In the first and second test cases, s = t since it's already one of the optimal solutions. Answers have periods equal to 1 and 2, respectively.

In the third test case, there are shorter optimal solutions, but it's okay since we don't need to minimize the string s. String s has period equal to 1.

Solution (in JAVA):

Solution:
import java.util.*;
import java.lang.*;
import java.io.*;

/* Name of the class has to be "Main" only if the class is public. */
public class Codechef
{
	public static void main (String[] args) throws java.lang.Exception
	{
		// your code goes here
		BufferedReader buf=new BufferedReader(new InputStreamReader(System.in));
		int q=Integer.parseInt(buf.readLine());
		StringBuilder sb=new StringBuilder();
		for(int i=0;i<q;i++)
		{
		    String t=buf.readLine();
		    char cht[]=t.toCharArray();
		    int cntt[]=new int[2];
		    for(int j=0;j<cht.length;j++)
		    cntt[cht[j]-'0']++;
		    
		    String st="";
		    if(cntt[0]==0 || cntt[1]==0)
		    st=t+t;
		    else
		    {
		        int len=t.length();
		        if(cht[0]=='1')
		        {
		            for(int j=1;j<=2*len;j++)
		            {
		                if(j%2==1)
		                st=st+1;
		                else
		                st=st+0;
		            }
		        }
		        else
		        {
		            for(int j=1;j<=2*len;j++)
		            {
		                if(j%2==1)
		                st=st+0;
		                else
		                st=st+1;
		            }
		        }
		    }
		    sb.append(st+"\n");
		}
		System.out.println(sb);
	}
}