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


public class CODECHEF {
    static class FastReader {
        byte[] buf = new byte[2048];
        int index, total;
        InputStream in;

        FastReader(InputStream is) {
            in = is;
        }

        int scan() throws IOException {
            if (index >= total) {
                index = 0;
                total = in.read(buf);
                if (total <= 0) {
                    return -1;
                }
            }
            return buf[index++];
        }

        String next() throws IOException {
            int c;
            for (c = scan(); c <= 32; c = scan())
                ;
            StringBuilder sb = new StringBuilder();
            for (; c > 32; c = scan()) {
                sb.append((char) c);
            }
            return sb.toString();
        }

        String nextLine() throws IOException {
            int c;
            for (c = scan(); c <= 32; c = scan())
                ;
            StringBuilder sb = new StringBuilder();
            for (; c != 10 && c != 13; c = scan()) {
                sb.append((char) c);
            }
            return sb.toString();
        }

        char nextChar() throws IOException {
            int c;
            for (c = scan(); c <= 32; c = scan())
                ;
            return (char) c;
        }

        int nextInt() throws IOException {
            int c, val = 0;
            for (c = scan(); c <= 32; c = scan())
                ;
            boolean neg = c == '-';
            if (c == '-' || c == '+') {
                c = scan();
            }
            for (; c >= '0' && c <= '9'; c = scan()) {
                val = (val << 3) + (val << 1) + (c & 15);
            }
            return neg ? -val : val;
        }

        long nextLong() throws IOException {
            int c;
            long val = 0;
            for (c = scan(); c <= 32; c = scan())
                ;
            boolean neg = c == '-';
            if (c == '-' || c == '+') {
                c = scan();
            }
            for (; c >= '0' && c <= '9'; c = scan()) {
                val = (val << 3) + (val << 1) + (c & 15);
            }
            return neg ? -val : val;
        }

    }
    static long MODE=1000000000+7;
    static long gcd(long a,long b){
        if(a==0)
            return b;
        return gcd(b%a,a);
    }
    static  boolean isSafe(int i,int n){
        return (i>=0 && i<n);
    }
    static LinkedList<Integer>[] adj;


    public static void main(String[] args) throws java.lang.Exception {
        FastReader fs=new FastReader(System.in);
        StringBuilder sb=new StringBuilder();
        PrintWriter out=new PrintWriter(System.out);
      int t=fs.nextInt();
      while (t-->0){
        String s=fs.nextLine();
        int n=s.length();
        if(!s.contains("01") && !s.contains("10")){
            System.out.println(s);
        }else{
            int i=s.indexOf("01");
            int j=s.indexOf("10");
            int min=-1;
            if(i==-1)
                min=j;
            else if(j==-1)
                min=i;
            else
                min=Math.min(i,j);

            char c1=s.charAt(min);
            char c2=s.charAt(min+1);
            String res="";
            for(int k=0;k<n;k++)
                res=res+c1+c2;
            System.out.println(res);
        }



        }
//      out.close();
    }
}