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 com.sun.org.apache.bcel.internal.generic.ALOAD;
import java.util.*;
import java.io.*;
import java.lang.reflect.Array;
import java.math.BigInteger;
import javafx.util.Pair;
import jdk.nashorn.internal.ir.BreakNode;
public class Fff {

   static BufferedReader bf = new BufferedReader(new InputStreamReader(System.in));
static   StringBuilder out=new StringBuilder();
 static  BufferedWriter bw=new BufferedWriter(new OutputStreamWriter(System.out));
 static PrintWriter pw=new PrintWriter(new OutputStreamWriter(System.out));
    static int I(String s) {return Integer.parseInt(s);}
    static long L(String s) {return Long.parseLong(s);}
    static double D(String s) {return Double.parseDouble(s);}
     static String[] SA() throws IOException {return bf.readLine().split(" ");}
    
    public static void main(String[] args) throws IOException {

   
     int t=I(bf.readLine());
      while(t-->0){
          String st=bf.readLine();
          int coze=0;
          int coon=0;
          for(int i=0;i<st.length();i++){if(st.charAt(i)=='0'){coze++;}else{coon++;}}
        if(coze>0&&coon>0)for(int i=0;i<st.length();i++){out.append("10");}  
        else{out.append(st);}
          out.append("\n");
      }System.out.print(out);
   
   
    }
   
    
}