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:
# for ii in range(int(input())):
#   t = input()
#   n = len(t)
#   temp = 10000
#   f = 1
#   for i in range(1, 101):
#     f = 1
#     for j in range(n-i):
#       if t[j] != t[j+i]:
#         f = 0
#         break
#     if f: temp = min(temp, i); break
#   #print(temp)
#   if temp == 1 or temp == 2: print(t); continue
#   ans = ""
#   if t[0] == "1":
#     ans+="1"
#   else:
#     ans+="0"
#   for i in range(1,2*n):
#     if ans[i-1] == "0":
#       ans+="1"
#     else:
#       ans+="0"
#   print(ans)

t = int(input())
while t > 0:
    s = input()
    temp = 10000
    for i in range(1, 101):
        f = True
        for j in range(len(s)-i) :
            if(s[j] != s[j + i]):
                f = False
                break
        if f:
            temp = min(i, temp)
            break
    if(temp == 2 or temp == 1): 
        print(s)
        t -= 1
        continue
    fin_ans = ""
    fin_ans += s[0]
    for i in range(1, 2*len(s)):
        if(fin_ans[i-1] == "0"):
            fin_ans += "1"
        else:
            fin_ans += "0"
    print(fin_ans)
    t -= 1