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:
//  27/07/20  8:21 AM  Jul  2020 

import java.io.*;
import java.util.*;

public class _1342B {

    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        int t = sc.nextInt();
        while (t-- > 0) {
            String s = sc.next();
            boolean check = true;
            StringBuilder res = new StringBuilder(1);
            //if all characters are equal then the string itself is the answer.
            // if string length is less then equal to 2 then also string is the answer
            //else we will try to make the string with alternate zeroes and ones so that its period is 2 ; //
            // which is always possible
            for (int i = 0; i < s.length() - 1; ++i)
                if (s.charAt(i) != s.charAt(i + 1)) {
                    check = false;
                    break;
                }
            if (s.length() <= 2 || check)
                System.out.println(s);
            else {
                for (int i = 0; i < s.length(); ++i) {
                   res.append('1').append('0');
                }
                System.out.println(res);
            }
        }
    }
}