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.io.*;
//1352B
public class Parity{
    public static void main(String[] args) {
        FastScanner sc = new FastScanner();
        int t = sc.nextInt();
        while(t-->0){
            String inp = sc.nextLine();
            System.out.println(generate(inp));
        }
    }

    public static String generate(String t){
        if(t.length() <= 2) return t;

        int zero = 0, one = 0;
        for (int i = 0; i < t.length() ; i++){
            if(t.charAt(i) == '0') zero++;
            else one++;
        }

        if(zero == 0 || one == 0) return t;

        StringBuffer s = new StringBuffer();
        for (int i = 0; i < t.length()-1 ; i++){
            if(t.charAt(i) == t.charAt(i+1)){
                s.append(t.charAt(i));
                if(t.charAt(i) == '0') s.append('1');
                else s.append('0');
            }
            else{
                s.append(t.charAt(i));
            }
        }
        s.append(t.charAt(t.length()-1));
        return s.toString();
    }

    public static class FastScanner{ 
        BufferedReader br; 
        StringTokenizer st; 
  
        public FastScanner(){ 
            br = new BufferedReader(new
                     InputStreamReader(System.in)); 
        } 
  
        String next() { 
            while (st == null || !st.hasMoreElements()) { 
                try{ 
                    st = new StringTokenizer(br.readLine()); 
                } 
                catch (IOException  e){ 
                    e.printStackTrace(); 
                } 
            } 
            return st.nextToken(); 
        } 
  
        int nextInt() { 
            return Integer.parseInt(next()); 
        } 
  
        long nextLong(){ 
            return Long.parseLong(next()); 
        } 
  
        double nextDouble(){ 
            return Double.parseDouble(next()); 
        } 
  
        String nextLine() { 
            String str = ""; 
            try{ 
                str = br.readLine(); 
            } 
            catch (IOException e) { 
                e.printStackTrace(); 
            } 
            return str; 
        } 
    }
}