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 PYTHON3):

Solution:
# Importing Modules
from collections import *
from itertools import *
from functools import *
import sys
import os
import time
# ~ import numpy as np


# Debugging and Timer Flags
timer = False
debug = False

# ---------- Helper Functions -----------
def timeit(method):
    def wrapper(*args, **kwargs):
        mname = method.__name__
        if debug:
            print("{}(args:{}, kwargs:{})".format(mname, args,kwargs))
        if timer:
            ts = time.time()
        result = method(*args, **kwargs)
        if timer:
            te = time.time()
            print('%r  %2.2f ms'% (mname, (te-ts) * 1000))
        return result
    return wrapper
# ----------------------------------------




@timeit
def main():
    t = int(input())
    for _ in range(t):
        a = input()
        deg = 1
        for i in range(len(a)-1):
            if a[i]!=a[i+1]:
                deg = 2
                break
        if deg == 1:
            print(a)
        else:
            ans = ['01' for i in range(len(a))]
            print("".join(ans))


if __name__=="__main__":
    main()