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 PYTHON):

Solution:
# TEMPLATE begins 
##################################### 
  
# import libraries for input/ output handling, on generic level 
import atexit, io, sys 
  
# A stream implementation using an in-memory bytes  
# buffer. It inherits BufferedIOBase. 
buffer = io.BytesIO() 
sys.stdout = buffer
  
# print via here 
@atexit.register 
def write(): 
    sys.__stdout__.write(buffer.getvalue()) 
  
##################################### 
# template ends 














import collections
def f(s):
	res = []
	if s == s[0] * len(s):
		return s
	q=  collections.deque(map(int,list(s)))
	while(q):
		if len(q) >= 2 and q[0] + q[1] == [1,0]:
				res.append(1)
				res.append(0)
				for _ in xrange(2):	q.popleft() 
		else:
			if q[0] == 0:
				res.append(1)
				res.append(0)
				q.popleft()
			elif q[0] == 1:
				res.append(1)
				res.append(0)
				q.popleft()
	return ''.join(map(str,res))


for u in range(int(raw_input())):
	print f(raw_input())