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.
'''
INPUT SHORTCUTS
N, K = map(int,input().split())
N ,A,B = map(int,input().split())
string = str(input())
arr = list(map(int,input().split()))
N = int(input())
'''
def main():
	string =str(input())
	if len(string)<=2:
		print(string)
		return
	cnt = 1
	for i in range(len(string)-1):
		if string[i]==string[i+1]:
			cnt+=1
	if cnt==len(string):
		# print("same")
		print(string)
		return
	cntone = 0
	cntzero = 0
	indexone = 10000
	indexzero = 10000
	for i in range(len(string)):
		if string[i]=='0':
			indexzero = min(indexzero,i)
			cntzero+=1
		else:
			indexone = min(indexone,i)
			cntone +=1
	res = ''
	if indexone>indexzero:
		string2 = '01'
	else:
		string2 = '10'
	for _ in range(cntzero+cntone):
		res += string2
	print(res)
	return

n = int(input())
while n:	
	main()
	n-=1